%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : LCL773-1 : TPTP v9.3.1. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % Computer : n004.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Mon Sep 7 11:19:48 AM UTC 2026 % Result : Unsatisfiable 0.91s 1.06s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL773-1 : TPTP v9.3.1. Released v4.1.0. % 0.00/0.03 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % 0.10/0.35 % Computer : n004.cluster.edu % 0.10/0.35 % Model : x86_64 x86_64 % 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.35 % Memory : 8046.5625MB % 0.10/0.35 % OS : Linux 6.8.0-71-generic % 0.10/0.35 % CPULimit : 300 % 0.10/0.35 % WCLimit : 300 % 0.10/0.35 % DateTime : Sat Sep 5 08:27:14 UTC 2026 % 0.10/0.35 % CPUTime : % 0.15/0.46 start to proof:theBenchmark % 0.40/0.99 %------------------------------------------- % 0.40/0.99 % File :CSE---1.7 % 0.40/0.99 % Problem :theBenchmark % 0.40/0.99 % Transform :cnf % 0.40/0.99 % Format :tptp:raw % 0.40/0.99 % Command :java -jar mcs_scs.jar %d %s % 0.40/0.99 % 0.40/0.99 % Result :Theorem 0.091243s % 0.40/0.99 % Output :CNFRefutation 0.091243s % 0.40/0.99 %------------------------------------------- % 0.40/1.00 %------------------------------------------------------------------------------ % 0.40/1.00 % File : LCL773-1 : TPTP v9.3.1. Released v4.1.0. % 0.40/1.00 % Domain : Logic Calculi % 0.40/1.00 % Problem : Strong normalization of typed lambda calculus 080_5 % 0.40/1.00 % Version : Especial. % 0.40/1.00 % English : % 0.40/1.00 % 0.40/1.00 % Refs : [vON99] von Oheimb & Nipkow (1999), Machine-Checking the Java % 0.40/1.00 % : [Nip10] Nipkow (2010), Email to Geoff Sutcliffe % 0.40/1.00 % : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day % 0.40/1.00 % Source : [Nip10] % 0.40/1.00 % Names : StrongNorm-080_5 [Nip10] % 0.40/1.00 % 0.40/1.00 % Status : Unsatisfiable % 0.40/1.00 % Rating : 0.17 v9.3.0, 0.05 v7.4.0, 0.06 v7.3.0, 0.00 v7.0.0, 0.13 v6.4.0, 0.07 v6.3.0, 0.00 v6.2.0, 0.20 v6.1.0, 0.07 v6.0.0, 0.20 v5.5.0, 0.30 v5.3.0, 0.28 v5.2.0, 0.25 v5.1.0, 0.35 v5.0.0, 0.29 v4.1.0 % 0.40/1.00 % Syntax : Number of clauses : 1103 ( 160 unt; 172 nHn; 680 RR) % 0.40/1.00 % Number of literals : 3162 ( 637 equ;1904 neg) % 0.40/1.00 % Maximal clause size : 6 ( 2 avg) % 0.40/1.00 % Maximal term depth : 5 ( 1 avg) % 0.40/1.00 % Number of predicates : 64 ( 63 usr; 0 prp; 1-3 aty) % 0.40/1.00 % Number of functors : 34 ( 34 usr; 5 con; 0-3 aty) % 0.40/1.00 % Number of variables : 3116 ( 208 sgn) % 0.40/1.00 % SPC : CNF_UNS_RFO_SEQ_NHN % 0.40/1.00 % 0.40/1.00 % Comments : % 0.40/1.00 %------------------------------------------------------------------------------ % 0.40/1.00 cnf(cls_nat__less__add__iff1_0,axiom, % 0.40/1.00 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_i,V_j,tc_nat),V_u,tc_nat),V_m,tc_nat),V_n,tc_nat) % 0.40/1.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_i,V_u,tc_nat),V_m,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_j,V_u,tc_nat),V_n,tc_nat),tc_nat) % 0.40/1.00 | ~ c_lessequals(V_j,V_i,tc_nat) ) ). % 0.40/1.00 % 0.40/1.00 cnf(cls_eq__add__iff2_1,axiom, % 0.40/1.00 ( ~ class_Ring__and__Field_Oring(T_a) % 0.40/1.00 | 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) ) ). % 0.40/1.00 % 0.40/1.00 cnf(cls_le__imp__neg__le_0,axiom, % 0.40/1.00 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.40/1.00 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) % 0.40/1.00 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.40/1.00 % 0.40/1.00 cnf(cls_neg__le__iff__le_0,axiom, % 0.40/1.00 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.40/1.00 | c_lessequals(V_a,V_b,T_a) % 0.40/1.00 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ). % 0.40/1.00 % 0.40/1.00 cnf(cls_add__Suc_0,axiom, % 0.40/1.00 c_HOL_Oplus__class_Oplus(c_Suc(V_m),V_n,tc_nat) = c_Suc(c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat)) ). % 0.40/1.00 % 0.40/1.00 cnf(cls_add__Suc__right_0,axiom, % 0.40/1.00 c_HOL_Oplus__class_Oplus(V_m,c_Suc(V_n),tc_nat) = c_Suc(c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat)) ). % 0.40/1.00 % 0.40/1.00 cnf(cls_power__0__Suc_0,axiom, % 0.40/1.00 ( ~ class_Ring__and__Field_Osemiring__0(T_a) % 0.40/1.00 | ~ class_Power_Opower(T_a) % 0.40/1.00 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(T_a),c_Suc(V_n),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.40/1.00 % 0.40/1.00 cnf(cls_one__le__power_0,axiom, % 0.40/1.00 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.40/1.00 | c_lessequals(c_HOL_Oone__class_Oone(T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a) % 0.40/1.00 | ~ c_lessequals(c_HOL_Oone__class_Oone(T_a),V_a,T_a) ) ). % 0.40/1.00 % 0.40/1.00 cnf(cls_mult__strict__mono_0,axiom, % 0.40/1.00 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.40/1.00 | 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) % 0.40/1.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.40/1.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.40/1.00 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a) % 0.40/1.00 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.40/1.00 % 0.40/1.00 cnf(cls_class__fieldgb_Oinverse__divide_0,axiom, % 0.40/1.00 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.40/1.00 | ~ class_Int_Onumber__ring(T_a) % 0.40/1.00 | c_HOL_Oinverse__class_Oinverse(V_x,T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),V_x,T_a) ) ). % 0.40/1.00 % 0.40/1.00 cnf(cls_inverse__eq__divide_0,axiom, % 0.40/1.00 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.40/1.00 | c_HOL_Oinverse__class_Oinverse(V_a,T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),V_a,T_a) ) ). % 0.40/1.00 % 0.40/1.00 cnf(cls_dvd__mult__cancel__left_2,axiom, % 0.40/1.00 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.40/1.00 | 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) % 0.40/1.00 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ). % 0.40/1.00 % 0.40/1.00 cnf(cls_dvd__mult__cancel__right_2,axiom, % 0.40/1.00 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.40/1.00 | 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) % 0.40/1.00 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ). % 0.40/1.00 % 0.40/1.00 cnf(cls_divide__left__mono__neg_0,axiom, % 0.40/1.00 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.40/1.00 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.40/1.00 | 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) % 0.40/1.00 | ~ 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) % 0.40/1.00 | ~ c_lessequals(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.40/1.00 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.40/1.00 % 0.40/1.00 cnf(cls_divide__left__mono_0,axiom, % 0.40/1.00 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.40/1.00 | 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) % 0.40/1.00 | ~ 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) % 0.40/1.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.40/1.00 | ~ c_lessequals(V_b,V_a,T_a) ) ). % 0.40/1.00 % 0.40/1.00 cnf(cls_min__max_Oinf__le1_0,axiom, % 0.40/1.00 ( ~ class_Orderings_Olinorder(T_a) % 0.40/1.00 | c_lessequals(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_x,T_a) ) ). % 0.40/1.00 % 0.40/1.00 cnf(cls_min__max_Oinf__le2_0,axiom, % 0.40/1.00 ( ~ class_Orderings_Olinorder(T_a) % 0.40/1.00 | c_lessequals(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_y,T_a) ) ). % 0.40/1.00 % 0.40/1.00 cnf(cls_min__max_Ole__infI_0,axiom, % 0.40/1.00 ( ~ class_Orderings_Olinorder(T_a) % 0.40/1.00 | c_lessequals(V_x,c_Orderings_Oord__class_Omin(V_a,V_b,T_a),T_a) % 0.40/1.00 | ~ c_lessequals(V_x,V_b,T_a) % 0.40/1.00 | ~ c_lessequals(V_x,V_a,T_a) ) ). % 0.40/1.00 % 0.40/1.00 cnf(cls_min__max_Ole__inf__iff_2,axiom, % 0.40/1.00 ( ~ class_Orderings_Olinorder(T_a) % 0.40/1.00 | c_lessequals(V_x,c_Orderings_Oord__class_Omin(V_y,V_z,T_a),T_a) % 0.40/1.00 | ~ c_lessequals(V_x,V_z,T_a) % 0.40/1.00 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.40/1.00 % 0.40/1.00 cnf(cls_min__max_Oinf__greatest_0,axiom, % 0.40/1.00 ( ~ class_Orderings_Olinorder(T_a) % 0.40/1.00 | c_lessequals(V_x,c_Orderings_Oord__class_Omin(V_y,V_z,T_a),T_a) % 0.40/1.00 | ~ c_lessequals(V_x,V_z,T_a) % 0.40/1.00 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.40/1.00 % 0.40/1.00 cnf(cls_eq__add__iff1_1,axiom, % 0.40/1.00 ( ~ class_Ring__and__Field_Oring(T_a) % 0.40/1.00 | 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) ) ). % 0.40/1.00 % 0.40/1.00 cnf(cls_le__minus__self__iff_0,axiom, % 0.40/1.00 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.40/1.00 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.40/1.00 | ~ c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ). % 0.40/1.00 % 0.40/1.00 cnf(cls_le__minus__self__iff_1,axiom, % 0.40/1.00 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.40/1.00 | c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) % 0.40/1.00 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.40/1.00 % 0.40/1.00 cnf(cls_minus__le__self__iff_0,axiom, % 0.40/1.00 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.40/1.00 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.40/1.00 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_a,T_a) ) ). % 0.40/1.00 % 0.40/1.00 cnf(cls_minus__le__self__iff_1,axiom, % 0.40/1.00 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.40/1.00 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_a,T_a) % 0.40/1.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.40/1.00 % 0.40/1.00 cnf(cls_less__eq__neg__nonpos_0,axiom, % 0.40/1.00 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a) % 0.40/1.00 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.40/1.00 | ~ c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ). % 0.40/1.00 % 0.40/1.00 cnf(cls_less__eq__neg__nonpos_1,axiom, % 0.40/1.00 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a) % 0.40/1.00 | c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) % 0.40/1.00 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.40/1.00 % 0.40/1.00 cnf(cls_neg__less__eq__nonneg_0,axiom, % 0.40/1.00 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a) % 0.40/1.00 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.40/1.00 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_a,T_a) ) ). % 0.40/1.00 % 0.40/1.00 cnf(cls_neg__less__eq__nonneg_1,axiom, % 0.40/1.00 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a) % 0.40/1.00 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_a,T_a) % 0.40/1.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.40/1.00 % 0.40/1.00 cnf(cls_zero__le__power_0,axiom, % 0.40/1.00 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.40/1.00 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a) % 0.40/1.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.40/1.00 % 0.40/1.00 cnf(cls_diff__is__0__eq_1,axiom, % 0.40/1.00 ( c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) % 0.40/1.00 | ~ c_lessequals(V_m,V_n,tc_nat) ) ). % 0.40/1.00 % 0.40/1.00 cnf(cls_diff__is__0__eq_0,axiom, % 0.40/1.00 ( c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) % 0.40/1.00 | c_lessequals(V_m,V_n,tc_nat) ) ). % 0.40/1.00 % 0.40/1.00 cnf(cls_min__diff__distrib__left_0,axiom, % 0.40/1.00 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.40/1.00 | 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) ) ). % 0.40/1.00 % 0.40/1.00 cnf(cls_max__less__iff__conj_2,axiom, % 0.40/1.00 ( ~ class_Orderings_Olinorder(T_a) % 0.40/1.00 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a) % 0.40/1.00 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a) % 0.40/1.00 | ~ c_HOL_Oord__class_Oless(V_x,V_z,T_a) ) ). % 0.40/1.00 % 0.40/1.00 cnf(cls_diff__Suc__diff__eq2_0,axiom, % 0.40/1.00 ( c_HOL_Ominus__class_Ominus(c_Suc(c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat)),V_m,tc_nat) = c_HOL_Ominus__class_Ominus(c_Suc(V_j),c_HOL_Oplus__class_Oplus(V_k,V_m,tc_nat),tc_nat) % 0.40/1.00 | ~ c_lessequals(V_k,V_j,tc_nat) ) ). % 0.40/1.00 % 0.40/1.00 cnf(cls_replicate__eq__replicate_0,axiom, % 0.40/1.00 ( c_List_Oreplicate(V_m,V_x,T_a) != c_List_Oreplicate(V_n,V_y,T_a) % 0.40/1.00 | V_m = V_n ) ). % 0.40/1.00 % 0.40/1.00 cnf(cls_class__semiring_Omul__1_0,axiom, % 0.40/1.00 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.40/1.00 | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(T_a),V_x,T_a) = V_x ) ). % 0.40/1.00 % 0.40/1.00 cnf(cls_mult__1_0,axiom, % 0.40/1.00 ( ~ class_OrderedGroup_Ocomm__monoid__mult(T_a) % 0.40/1.00 | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(T_a),V_a,T_a) = V_a ) ). % 0.40/1.00 % 0.40/1.00 cnf(cls_mult__1__left_0,axiom, % 0.40/1.00 ( ~ class_OrderedGroup_Omonoid__mult(T_a) % 0.40/1.00 | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(T_a),V_a,T_a) = V_a ) ). % 0.40/1.00 % 0.40/1.00 cnf(cls_mult__1__right_0,axiom, % 0.40/1.00 ( ~ class_OrderedGroup_Omonoid__mult(T_a) % 0.40/1.00 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Oone__class_Oone(T_a),T_a) = V_a ) ). % 0.40/1.00 % 0.40/1.00 cnf(cls_class__semiring_Osemiring__rules_I12_J_0,axiom, % 0.40/1.00 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.40/1.00 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Oone__class_Oone(T_a),T_a) = V_a ) ). % 0.40/1.00 % 0.40/1.00 cnf(cls_class__semiring_Osemiring__rules_I11_J_0,axiom, % 0.40/1.00 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.40/1.00 | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(T_a),V_a,T_a) = V_a ) ). % 0.40/1.00 % 0.40/1.00 cnf(cls_add__strict__increasing_0,axiom, % 0.40/1.00 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.40/1.00 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.40/1.00 | c_HOL_Oord__class_Oless(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a) % 0.40/1.00 | ~ c_lessequals(V_b,V_c,T_a) % 0.40/1.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.40/1.00 % 0.40/1.00 cnf(cls_lem0_0,axiom, % 0.40/1.00 ( c_HOL_Oord__class_Oless(V_m,c_HOL_Oplus__class_Oplus(V_n,V_k,tc_nat),tc_nat) % 0.40/1.00 | ~ c_lessequals(V_m,V_n,tc_nat) % 0.40/1.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) ) ). % 0.40/1.00 % 0.40/1.00 cnf(cls_dvdI_0,axiom, % 0.40/1.00 ( ~ class_Ring__and__Field_Odvd(T_a) % 0.40/1.00 | c_Ring__and__Field_Odvd__class_Odvd(V_b,c_HOL_Otimes__class_Otimes(V_b,V_k,T_a),T_a) ) ). % 0.40/1.00 % 0.40/1.00 cnf(cls_dvd__triv__left_0,axiom, % 0.40/1.00 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.40/1.00 | c_Ring__and__Field_Odvd__class_Odvd(V_a,c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ). % 0.40/1.00 % 0.40/1.00 cnf(cls_dvd__triv__right_0,axiom, % 0.40/1.01 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.40/1.01 | c_Ring__and__Field_Odvd__class_Odvd(V_a,c_HOL_Otimes__class_Otimes(V_b,V_a,T_a),T_a) ) ). % 0.40/1.01 % 0.40/1.01 cnf(cls_frac__less2_0,axiom, % 0.40/1.01 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.40/1.01 | 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) % 0.40/1.01 | ~ c_HOL_Oord__class_Oless(V_w,V_z,T_a) % 0.40/1.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_w,T_a) % 0.40/1.01 | ~ c_lessequals(V_x,V_y,T_a) % 0.40/1.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ). % 0.40/1.01 % 0.40/1.01 cnf(cls_power__one__over_0,axiom, % 0.40/1.01 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.40/1.01 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.40/1.01 | c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),V_a,T_a),V_n,T_a) ) ). % 0.40/1.01 % 0.40/1.01 cnf(cls_add__is__1_4,axiom, % 0.40/1.01 c_HOL_Oplus__class_Oplus(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ). % 0.40/1.01 % 0.40/1.01 cnf(cls_of__nat__le__iff_0,axiom, % 0.40/1.01 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.40/1.01 | c_lessequals(V_m,V_n,tc_nat) % 0.40/1.01 | ~ c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a),T_a) ) ). % 0.40/1.01 % 0.40/1.01 cnf(cls_of__nat__le__iff_1,axiom, % 0.40/1.01 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.40/1.01 | c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a),T_a) % 0.40/1.01 | ~ c_lessequals(V_m,V_n,tc_nat) ) ). % 0.40/1.01 % 0.40/1.01 cnf(cls_nonzero__minus__divide__right_0,axiom, % 0.40/1.01 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.40/1.01 | 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) % 0.40/1.01 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.40/1.01 % 0.40/1.01 cnf(cls_divide__less__0__1__iff_1,axiom, % 0.40/1.01 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.40/1.01 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.40/1.01 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.40/1.01 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.40/1.01 % 0.40/1.01 cnf(cls_divide__less__0__1__iff_0,axiom, % 0.40/1.01 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.40/1.01 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.40/1.01 | c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.40/1.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.40/1.01 % 0.40/1.01 cnf(cls_neg__less__0__iff__less_0,axiom, % 0.40/1.01 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.40/1.01 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.40/1.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.40/1.01 % 0.40/1.01 cnf(cls_neg__less__0__iff__less_1,axiom, % 0.40/1.01 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.40/1.01 | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.40/1.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.40/1.01 % 0.40/1.01 cnf(cls_min__less__iff__conj_2,axiom, % 0.40/1.01 ( ~ class_Orderings_Olinorder(T_a) % 0.40/1.01 | c_HOL_Oord__class_Oless(V_z,c_Orderings_Oord__class_Omin(V_x,V_y,T_a),T_a) % 0.40/1.01 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a) % 0.40/1.01 | ~ c_HOL_Oord__class_Oless(V_z,V_x,T_a) ) ). % 0.40/1.01 % 0.40/1.01 cnf(cls_natgb_Oadd__mul__solve_1,axiom, % 0.40/1.01 c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_y,tc_nat),c_HOL_Otimes__class_Otimes(V_x,V_z,tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_z,tc_nat),c_HOL_Otimes__class_Otimes(V_x,V_y,tc_nat),tc_nat) ). % 0.40/1.01 % 0.40/1.01 cnf(cls_natgb_Onoteq__reduce_1,axiom, % 0.40/1.01 c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_c,tc_nat),c_HOL_Otimes__class_Otimes(V_x,V_d,tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_d,tc_nat),c_HOL_Otimes__class_Otimes(V_x,V_c,tc_nat),tc_nat) ). % 0.40/1.01 % 0.40/1.01 cnf(cls_class__ringb_Onoteq__reduce_1,axiom, % 0.40/1.01 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.40/1.01 | ~ class_Int_Onumber__ring(T_a) % 0.40/1.01 | 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) ) ). % 0.40/1.01 % 0.40/1.01 cnf(cls_class__ringb_Oadd__mul__solve_1,axiom, % 0.40/1.01 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.40/1.01 | ~ class_Int_Onumber__ring(T_a) % 0.40/1.01 | 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) ) ). % 0.40/1.01 % 0.40/1.01 cnf(cls_max__Suc__Suc_0,axiom, % 0.40/1.01 c_Orderings_Oord__class_Omax(c_Suc(V_m),c_Suc(V_n),tc_nat) = c_Suc(c_Orderings_Oord__class_Omax(V_m,V_n,tc_nat)) ). % 0.40/1.01 % 0.40/1.01 cnf(cls_less__Suc0_0,axiom, % 0.40/1.01 ( V_n = c_HOL_Ozero__class_Ozero(tc_nat) % 0.40/1.01 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ) ). % 0.40/1.01 % 0.40/1.01 cnf(cls_zero__le__double__add__iff__zero__le__single__add_0,axiom, % 0.40/1.01 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.40/1.01 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.40/1.01 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),T_a) ) ). % 0.40/1.01 % 0.40/1.01 cnf(cls_nat__less__add__iff1_1,axiom, % 0.40/1.01 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_i,V_u,tc_nat),V_m,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_j,V_u,tc_nat),V_n,tc_nat),tc_nat) % 0.40/1.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_i,V_j,tc_nat),V_u,tc_nat),V_m,tc_nat),V_n,tc_nat) % 0.40/1.01 | ~ c_lessequals(V_j,V_i,tc_nat) ) ). % 0.40/1.01 % 0.40/1.01 cnf(cls_nat__less__add__iff2_0,axiom, % 0.40/1.01 ( c_HOL_Oord__class_Oless(V_m,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_j,V_i,tc_nat),V_u,tc_nat),V_n,tc_nat),tc_nat) % 0.40/1.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_i,V_u,tc_nat),V_m,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_j,V_u,tc_nat),V_n,tc_nat),tc_nat) % 0.40/1.01 | ~ c_lessequals(V_i,V_j,tc_nat) ) ). % 0.40/1.01 % 0.40/1.01 cnf(cls_nat__less__add__iff2_1,axiom, % 0.40/1.01 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_i,V_u,tc_nat),V_m,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_j,V_u,tc_nat),V_n,tc_nat),tc_nat) % 0.40/1.01 | ~ c_HOL_Oord__class_Oless(V_m,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_j,V_i,tc_nat),V_u,tc_nat),V_n,tc_nat),tc_nat) % 0.40/1.01 | ~ c_lessequals(V_i,V_j,tc_nat) ) ). % 0.40/1.01 % 0.40/1.01 cnf(cls_eq__add__iff2_0,axiom, % 0.40/1.01 ( ~ class_Ring__and__Field_Oring(T_a) % 0.40/1.01 | 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) % 0.40/1.01 | 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) ) ). % 0.40/1.01 % 0.40/1.01 cnf(cls_eq__add__iff1_0,axiom, % 0.40/1.01 ( ~ class_Ring__and__Field_Oring(T_a) % 0.40/1.01 | 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) % 0.40/1.01 | 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 ) ). % 0.40/1.01 % 0.40/1.01 cnf(cls_less__add__Suc1_0,axiom, % 0.40/1.01 c_HOL_Oord__class_Oless(V_i,c_Suc(c_HOL_Oplus__class_Oplus(V_i,V_m,tc_nat)),tc_nat) ). % 0.40/1.01 % 0.40/1.01 cnf(cls_less__add__Suc2_0,axiom, % 0.40/1.01 c_HOL_Oord__class_Oless(V_i,c_Suc(c_HOL_Oplus__class_Oplus(V_m,V_i,tc_nat)),tc_nat) ). % 0.40/1.01 % 0.40/1.01 cnf(cls_less__iff__Suc__add_1,axiom, % 0.40/1.01 c_HOL_Oord__class_Oless(V_m,c_Suc(c_HOL_Oplus__class_Oplus(V_m,V_x,tc_nat)),tc_nat) ). % 0.40/1.01 % 0.40/1.01 cnf(cls_le__diff__conv2_0,axiom, % 0.40/1.01 ( c_lessequals(c_HOL_Oplus__class_Oplus(V_i,V_k,tc_nat),V_j,tc_nat) % 0.40/1.01 | ~ c_lessequals(V_i,c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),tc_nat) % 0.40/1.01 | ~ c_lessequals(V_k,V_j,tc_nat) ) ). % 0.40/1.01 % 0.40/1.01 cnf(cls_le__diff__conv2_1,axiom, % 0.40/1.01 ( c_lessequals(V_i,c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),tc_nat) % 0.40/1.01 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(V_i,V_k,tc_nat),V_j,tc_nat) % 0.40/1.01 | ~ c_lessequals(V_k,V_j,tc_nat) ) ). % 0.40/1.01 % 0.40/1.01 cnf(cls_min__max_Ole__sup__iff_2,axiom, % 0.40/1.01 ( ~ class_Orderings_Olinorder(T_a) % 0.40/1.01 | c_lessequals(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a) % 0.40/1.01 | ~ c_lessequals(V_y,V_z,T_a) % 0.40/1.01 | ~ c_lessequals(V_x,V_z,T_a) ) ). % 0.40/1.01 % 0.40/1.01 cnf(cls_min__max_Osup__least_0,axiom, % 0.40/1.01 ( ~ class_Orderings_Olinorder(T_a) % 0.40/1.01 | c_lessequals(c_Orderings_Oord__class_Omax(V_y,V_z,T_a),V_x,T_a) % 0.40/1.01 | ~ c_lessequals(V_z,V_x,T_a) % 0.40/1.01 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 0.40/1.01 % 0.40/1.01 cnf(cls_min__max_Ole__supI_0,axiom, % 0.40/1.01 ( ~ class_Orderings_Olinorder(T_a) % 0.40/1.01 | c_lessequals(c_Orderings_Oord__class_Omax(V_a,V_b,T_a),V_x,T_a) % 0.40/1.01 | ~ c_lessequals(V_b,V_x,T_a) % 0.40/1.01 | ~ c_lessequals(V_a,V_x,T_a) ) ). % 0.40/1.01 % 0.40/1.01 cnf(cls_le__maxI1_0,axiom, % 0.40/1.01 ( ~ class_Orderings_Olinorder(T_a) % 0.40/1.01 | c_lessequals(V_x,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) ) ). % 0.40/1.01 % 0.40/1.01 cnf(cls_le__maxI2_0,axiom, % 0.40/1.01 ( ~ class_Orderings_Olinorder(T_a) % 0.40/1.01 | c_lessequals(V_y,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) ) ). % 0.40/1.01 % 0.40/1.01 cnf(cls_bot__least_0,axiom, % 0.40/1.01 ( ~ class_Orderings_Obot(T_a) % 0.40/1.01 | c_lessequals(c_Orderings_Obot__class_Obot(T_a),V_x,T_a) ) ). % 0.40/1.01 % 0.40/1.01 cnf(cls_min__max_Oinf__sup__distrib2_0,axiom, % 0.40/1.01 ( ~ class_Orderings_Olinorder(T_a) % 0.40/1.01 | 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) ) ). % 0.40/1.01 % 0.40/1.01 cnf(cls_min__max_Oinf__sup__distrib1_0,axiom, % 0.40/1.01 ( ~ class_Orderings_Olinorder(T_a) % 0.40/1.01 | 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) ) ). % 0.40/1.01 % 0.40/1.01 cnf(cls_power__strict__decreasing_0,axiom, % 0.40/1.01 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.40/1.01 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(V_a,V_N,T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a) % 0.40/1.01 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Oone__class_Oone(T_a),T_a) % 0.40/1.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.40/1.01 | ~ c_HOL_Oord__class_Oless(V_n,V_N,tc_nat) ) ). % 0.40/1.01 % 0.40/1.01 cnf(cls_add__increasing_0,axiom, % 0.40/1.01 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.40/1.01 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.40/1.01 | c_lessequals(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a) % 0.40/1.01 | ~ c_lessequals(V_b,V_c,T_a) % 0.40/1.01 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.40/1.01 % 0.40/1.01 cnf(cls_add__increasing2_0,axiom, % 0.40/1.01 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.40/1.01 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.40/1.01 | c_lessequals(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a) % 0.40/1.01 | ~ c_lessequals(V_b,V_a,T_a) % 0.40/1.01 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 0.40/1.01 % 0.40/1.01 cnf(cls_le__imp__power__dvd_0,axiom, % 0.40/1.01 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.40/1.01 | c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(V_a,V_m,T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a) % 0.40/1.01 | ~ c_lessequals(V_m,V_n,tc_nat) ) ). % 0.40/1.01 % 0.40/1.01 cnf(cls_Suc__leI_0,axiom, % 0.40/1.01 ( c_lessequals(c_Suc(V_m),V_n,tc_nat) % 0.40/1.01 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ). % 0.40/1.01 % 0.40/1.01 cnf(cls_Suc__le__eq_0,axiom, % 0.40/1.01 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) % 0.40/1.01 | ~ c_lessequals(c_Suc(V_m),V_n,tc_nat) ) ). % 0.40/1.01 % 0.40/1.01 cnf(cls_less__eq__Suc__le_0,axiom, % 0.40/1.01 ( c_lessequals(c_Suc(V_n),V_m,tc_nat) % 0.40/1.01 | ~ c_HOL_Oord__class_Oless(V_n,V_m,tc_nat) ) ). % 0.40/1.01 % 0.40/1.01 cnf(cls_less__eq__Suc__le_1,axiom, % 0.40/1.01 ( c_HOL_Oord__class_Oless(V_n,V_m,tc_nat) % 0.40/1.01 | ~ c_lessequals(c_Suc(V_n),V_m,tc_nat) ) ). % 0.40/1.01 % 0.40/1.01 cnf(cls_termination__basic__simps_I1_J_0,axiom, % 0.40/1.01 ( c_HOL_Oord__class_Oless(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,tc_nat),tc_nat) % 0.40/1.01 | ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_nat) ) ). % 0.40/1.01 % 0.40/1.01 cnf(cls_termination__basic__simps_I2_J_0,axiom, % 0.40/1.01 ( c_HOL_Oord__class_Oless(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,tc_nat),tc_nat) % 0.40/1.01 | ~ c_HOL_Oord__class_Oless(V_x,V_z,tc_nat) ) ). % 0.40/1.01 % 0.40/1.01 cnf(cls_add__lessD1_0,axiom, % 0.40/1.01 ( c_HOL_Oord__class_Oless(V_i,V_k,tc_nat) % 0.40/1.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_i,V_j,tc_nat),V_k,tc_nat) ) ). % 0.40/1.01 % 0.40/1.01 cnf(cls_trans__less__add1_0,axiom, % 0.40/1.01 ( c_HOL_Oord__class_Oless(V_i,c_HOL_Oplus__class_Oplus(V_j,V_m,tc_nat),tc_nat) % 0.40/1.01 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ). % 0.40/1.01 % 0.40/1.01 cnf(cls_trans__less__add2_0,axiom, % 0.40/1.01 ( c_HOL_Oord__class_Oless(V_i,c_HOL_Oplus__class_Oplus(V_m,V_j,tc_nat),tc_nat) % 0.40/1.01 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ). % 0.40/1.01 % 0.40/1.01 cnf(cls_power__decreasing_0,axiom, % 0.40/1.01 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.40/1.01 | c_lessequals(c_Power_Opower__class_Opower(V_a,V_N,T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a) % 0.40/1.01 | ~ c_lessequals(V_a,c_HOL_Oone__class_Oone(T_a),T_a) % 0.40/1.01 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.40/1.01 | ~ c_lessequals(V_n,V_N,tc_nat) ) ). % 0.40/1.01 % 0.40/1.01 cnf(cls_divide__le__0__iff_4,axiom, % 0.40/1.01 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.40/1.01 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.40/1.01 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.40/1.01 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.40/1.01 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.40/1.01 % 0.40/1.01 cnf(cls_divide__le__0__iff_5,axiom, % 0.40/1.01 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.40/1.01 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.40/1.01 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.40/1.01 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.40/1.01 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.40/1.01 % 0.40/1.01 cnf(cls_le__add__iff2_1,axiom, % 0.40/1.01 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 0.40/1.01 | 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) % 0.40/1.01 | ~ 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) ) ). % 0.40/1.01 % 0.40/1.01 cnf(cls_le__add__iff2_0,axiom, % 0.40/1.01 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 0.40/1.01 | 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) % 0.40/1.01 | ~ 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) ) ). % 0.40/1.01 % 0.40/1.01 cnf(cls_le__add__iff1_1,axiom, % 0.40/1.01 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 0.40/1.01 | 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) % 0.40/1.01 | ~ 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) ) ). % 0.40/1.01 % 0.40/1.01 cnf(cls_le__add__iff1_0,axiom, % 0.40/1.01 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 0.40/1.01 | 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) % 0.40/1.01 | ~ 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) ) ). % 0.40/1.01 % 0.40/1.01 cnf(cls_Suc__diff__le_0,axiom, % 0.40/1.01 ( c_HOL_Ominus__class_Ominus(c_Suc(V_m),V_n,tc_nat) = c_Suc(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat)) % 0.40/1.01 | ~ c_lessequals(V_n,V_m,tc_nat) ) ). % 0.40/1.01 % 0.40/1.01 cnf(cls_zero__le__divide__1__iff_1,axiom, % 0.40/1.01 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.40/1.01 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.40/1.01 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),V_b,T_a),T_a) % 0.40/1.01 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) ) ). % 0.40/1.01 % 0.40/1.01 cnf(cls_zero__le__divide__1__iff_0,axiom, % 0.40/1.01 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.40/1.01 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.40/1.01 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.40/1.01 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),V_b,T_a),T_a) ) ). % 0.40/1.01 % 0.40/1.01 cnf(cls_sum__squares__ge__zero_0,axiom, % 0.40/1.01 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.40/1.01 | 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) ) ). % 0.40/1.01 % 0.40/1.01 cnf(cls_inverse__le__1__iff_1,axiom, % 0.40/1.01 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.40/1.01 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.40/1.01 | c_lessequals(c_HOL_Oinverse__class_Oinverse(V_x,T_a),c_HOL_Oone__class_Oone(T_a),T_a) % 0.40/1.01 | ~ c_lessequals(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.40/1.01 % 0.40/1.01 cnf(cls_class__semiring_Osemiring__rules_I24_J_0,axiom, % 0.40/1.01 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.40/1.01 | c_HOL_Oplus__class_Oplus(V_a,V_c,T_a) = c_HOL_Oplus__class_Oplus(V_c,V_a,T_a) ) ). % 0.40/1.01 % 0.40/1.01 cnf(cls_comm__monoid__add_Omult__commute_0,axiom, % 0.40/1.01 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.40/1.01 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) = c_HOL_Oplus__class_Oplus(V_b,V_a,T_a) ) ). % 0.40/1.01 % 0.40/1.01 cnf(cls_nat__add__commute_0,axiom, % 0.40/1.01 c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat) = c_HOL_Oplus__class_Oplus(V_n,V_m,tc_nat) ). % 0.40/1.01 % 0.40/1.01 cnf(cls_less__add__eq__less_0,axiom, % 0.40/1.01 ( c_HOL_Oplus__class_Oplus(V_m,V_l,tc_nat) != c_HOL_Oplus__class_Oplus(V_k,V_n,tc_nat) % 0.40/1.01 | ~ c_HOL_Oord__class_Oless(V_k,V_l,tc_nat) % 0.40/1.01 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ). % 0.40/1.01 % 0.40/1.01 cnf(cls_class__semiring_Oadd__c_0,axiom, % 0.40/1.01 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.40/1.01 | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) = c_HOL_Oplus__class_Oplus(V_y,V_x,T_a) ) ). % 0.40/1.01 % 0.40/1.01 cnf(cls_divide__le__0__iff_0,axiom, % 0.40/1.01 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.40/1.01 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.40/1.01 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.40/1.01 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.40/1.01 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.40/1.01 % 0.40/1.01 cnf(cls_divide__le__0__iff_1,axiom, % 0.40/1.01 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.40/1.01 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.40/1.01 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.40/1.01 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.40/1.01 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.40/1.01 % 0.40/1.01 cnf(cls_divide__le__0__iff_2,axiom, % 0.40/1.01 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.40/1.01 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.40/1.01 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.40/1.01 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.40/1.01 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.40/1.01 % 0.40/1.01 cnf(cls_divide__le__0__iff_3,axiom, % 0.40/1.01 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.40/1.01 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.40/1.01 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.40/1.01 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.40/1.01 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.40/1.01 % 0.40/1.01 cnf(cls_mult__eq__1__iff_0,axiom, % 0.40/1.01 ( c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) % 0.40/1.01 | V_m = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ). % 0.40/1.01 % 0.40/1.01 cnf(cls_mult__eq__1__iff_1,axiom, % 0.40/1.01 ( c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) % 0.40/1.01 | V_n = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ). % 0.40/1.01 % 0.40/1.01 cnf(cls_diff__less__mono2_0,axiom, % 0.40/1.01 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_l,V_n,tc_nat),c_HOL_Ominus__class_Ominus(V_l,V_m,tc_nat),tc_nat) % 0.40/1.01 | ~ c_HOL_Oord__class_Oless(V_m,V_l,tc_nat) % 0.40/1.01 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ). % 0.40/1.01 % 0.40/1.01 cnf(cls_power__minus_0,axiom, % 0.40/1.01 ( ~ class_Ring__and__Field_Oring__1(T_a) % 0.40/1.01 | c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_n,T_a) = c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(T_a),T_a),V_n,T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a) ) ). % 0.40/1.01 % 0.40/1.01 cnf(cls_dvd__power_1,axiom, % 0.40/1.01 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.40/1.01 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(T_a),c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(T_a),V_n,T_a),T_a) ) ). % 0.40/1.01 % 0.40/1.01 cnf(cls_le__imp__inverse__le__neg_0,axiom, % 0.40/1.01 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.40/1.01 | c_lessequals(c_HOL_Oinverse__class_Oinverse(V_b,T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) % 0.40/1.01 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.40/1.01 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.40/1.01 % 0.40/1.01 cnf(cls_inverse__le__imp__le__neg_0,axiom, % 0.40/1.01 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.40/1.01 | c_lessequals(V_b,V_a,T_a) % 0.40/1.01 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.40/1.01 | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a) ) ). % 0.40/1.01 % 0.40/1.01 cnf(cls_inverse__le__imp__le_0,axiom, % 0.40/1.01 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.40/1.01 | c_lessequals(V_b,V_a,T_a) % 0.40/1.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.40/1.01 | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a) ) ). % 0.40/1.02 % 0.40/1.02 cnf(cls_le__imp__inverse__le_0,axiom, % 0.40/1.02 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.40/1.02 | c_lessequals(c_HOL_Oinverse__class_Oinverse(V_b,T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) % 0.40/1.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.40/1.02 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.40/1.02 % 0.40/1.02 cnf(cls_of__nat__eq__iff_0,axiom, % 0.40/1.02 ( ~ class_Nat_Osemiring__char__0(T_a) % 0.40/1.02 | c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a) != c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a) % 0.40/1.02 | V_m = V_n ) ). % 0.40/1.02 % 0.40/1.02 cnf(cls_divide__le__eq_0,axiom, % 0.40/1.02 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.40/1.02 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.40/1.02 | c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) % 0.40/1.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.40/1.02 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) ) ). % 0.40/1.02 % 0.40/1.02 cnf(cls_divide__le__eq_6,axiom, % 0.40/1.02 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.40/1.02 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.40/1.02 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) % 0.40/1.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.40/1.02 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) ) ). % 0.40/1.02 % 0.40/1.02 cnf(cls_le__divide__eq_0,axiom, % 0.40/1.02 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.40/1.02 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.40/1.02 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) % 0.40/1.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.40/1.02 | ~ c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ). % 0.40/1.02 % 0.40/1.02 cnf(cls_le__divide__eq_6,axiom, % 0.40/1.02 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.40/1.02 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.40/1.02 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 0.40/1.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.40/1.02 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) ) ). % 0.40/1.02 % 0.40/1.02 cnf(cls_mult__imp__div__pos__le_0,axiom, % 0.40/1.02 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.40/1.02 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),V_z,T_a) % 0.40/1.02 | ~ c_lessequals(V_x,c_HOL_Otimes__class_Otimes(V_z,V_y,T_a),T_a) % 0.40/1.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) ) ). % 0.40/1.02 % 0.40/1.02 cnf(cls_mult__imp__le__div__pos_0,axiom, % 0.40/1.02 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.40/1.02 | c_lessequals(V_z,c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),T_a) % 0.40/1.02 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_z,V_y,T_a),V_x,T_a) % 0.40/1.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) ) ). % 0.40/1.02 % 0.40/1.02 cnf(cls_mult__less__imp__less__right_0,axiom, % 0.40/1.02 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.40/1.02 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.40/1.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.40/1.02 | ~ 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) ) ). % 0.40/1.02 % 0.40/1.02 cnf(cls_mult__less__imp__less__left_0,axiom, % 0.40/1.02 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.40/1.02 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.40/1.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.40/1.02 | ~ 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) ) ). % 0.40/1.02 % 0.40/1.02 cnf(cls_mult__right__less__imp__less_0,axiom, % 0.40/1.02 ( ~ class_Ring__and__Field_Oordered__semiring(T_a) % 0.40/1.02 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.40/1.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.40/1.02 | ~ 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) ) ). % 0.40/1.02 % 0.40/1.02 cnf(cls_mult__left__less__imp__less_0,axiom, % 0.40/1.02 ( ~ class_Ring__and__Field_Oordered__semiring(T_a) % 0.40/1.02 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.40/1.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.40/1.02 | ~ 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) ) ). % 0.40/1.02 % 0.40/1.02 cnf(cls_square__eq__iff_0,axiom, % 0.40/1.02 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.40/1.02 | c_HOL_Otimes__class_Otimes(V_a,V_a,T_a) != c_HOL_Otimes__class_Otimes(V_b,V_b,T_a) % 0.40/1.02 | V_a = c_HOL_Ouminus__class_Ouminus(V_b,T_a) % 0.40/1.02 | V_a = V_b ) ). % 0.40/1.02 % 0.40/1.02 cnf(cls_dvd__diff_0,axiom, % 0.40/1.02 ( ~ class_Ring__and__Field_Ocomm__ring__1(T_a) % 0.40/1.02 | c_Ring__and__Field_Odvd__class_Odvd(V_x,c_HOL_Ominus__class_Ominus(V_y,V_z,T_a),T_a) % 0.40/1.02 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,V_z,T_a) % 0.40/1.02 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,T_a) ) ). % 0.40/1.02 % 0.40/1.02 cnf(cls_power__commutes_0,axiom, % 0.40/1.02 ( ~ class_OrderedGroup_Omonoid__mult(T_a) % 0.40/1.02 | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_a,V_n,T_a),V_a,T_a) = c_HOL_Otimes__class_Otimes(V_a,c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a) ) ). % 0.40/1.02 % 0.40/1.02 cnf(cls_le__max__iff__disj_0,axiom, % 0.40/1.02 ( ~ class_Orderings_Olinorder(T_a) % 0.40/1.02 | c_lessequals(V_z,V_y,T_a) % 0.40/1.02 | c_lessequals(V_z,V_x,T_a) % 0.40/1.02 | ~ c_lessequals(V_z,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) ) ). % 0.40/1.02 % 0.40/1.02 cnf(cls_class__semiring_Omul__pwr_0,axiom, % 0.40/1.02 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.40/1.02 | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_x,V_p,T_a),c_Power_Opower__class_Opower(V_x,V_q,T_a),T_a) = c_Power_Opower__class_Opower(V_x,c_HOL_Oplus__class_Oplus(V_p,V_q,tc_nat),T_a) ) ). % 0.40/1.02 % 0.40/1.02 cnf(cls_liftn__lift_0,axiom, % 0.40/1.02 c_Lambda_Oliftn(c_Suc(V_n),V_t,V_k) = c_Lambda_Olift(c_Lambda_Oliftn(V_n,V_t,V_k),V_k) ). % 0.40/1.02 % 0.40/1.02 cnf(cls_nat__eq__add__iff1_1,axiom, % 0.40/1.02 ( ~ c_lessequals(V_j,V_i,tc_nat) % 0.40/1.02 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_i,V_u,tc_nat),V_m,tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_j,V_u,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_i,V_j,tc_nat),V_u,tc_nat),V_m,tc_nat),tc_nat) ) ). % 0.40/1.02 % 0.40/1.02 cnf(cls_min__max_Ole__inf__iff_1,axiom, % 0.40/1.02 ( ~ class_Orderings_Olinorder(T_a) % 0.40/1.02 | c_lessequals(V_x,V_z,T_a) % 0.40/1.02 | ~ c_lessequals(V_x,c_Orderings_Oord__class_Omin(V_y,V_z,T_a),T_a) ) ). % 0.40/1.02 % 0.40/1.02 cnf(cls_min__max_Ole__inf__iff_0,axiom, % 0.40/1.02 ( ~ class_Orderings_Olinorder(T_a) % 0.40/1.02 | c_lessequals(V_x,V_y,T_a) % 0.40/1.02 | ~ c_lessequals(V_x,c_Orderings_Oord__class_Omin(V_y,V_z,T_a),T_a) ) ). % 0.40/1.02 % 0.40/1.02 cnf(cls_min__le__iff__disj_2,axiom, % 0.40/1.02 ( ~ class_Orderings_Olinorder(T_a) % 0.40/1.02 | c_lessequals(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a) % 0.40/1.02 | ~ c_lessequals(V_y,V_z,T_a) ) ). % 0.40/1.02 % 0.40/1.02 cnf(cls_min__le__iff__disj_1,axiom, % 0.40/1.02 ( ~ class_Orderings_Olinorder(T_a) % 0.40/1.02 | c_lessequals(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a) % 0.40/1.02 | ~ c_lessequals(V_x,V_z,T_a) ) ). % 0.40/1.02 % 0.40/1.02 cnf(cls_min__max_Ole__infI2_0,axiom, % 0.40/1.02 ( ~ class_Orderings_Olinorder(T_a) % 0.40/1.02 | c_lessequals(c_Orderings_Oord__class_Omin(V_a,V_b,T_a),V_x,T_a) % 0.40/1.02 | ~ c_lessequals(V_b,V_x,T_a) ) ). % 0.40/1.02 % 0.40/1.02 cnf(cls_min__max_Ole__infI1_0,axiom, % 0.40/1.02 ( ~ class_Orderings_Olinorder(T_a) % 0.40/1.02 | c_lessequals(c_Orderings_Oord__class_Omin(V_a,V_b,T_a),V_x,T_a) % 0.40/1.02 | ~ c_lessequals(V_a,V_x,T_a) ) ). % 0.40/1.02 % 0.40/1.02 cnf(cls_min__max_Ole__infE_1,axiom, % 0.40/1.02 ( ~ class_Orderings_Olinorder(T_a) % 0.40/1.02 | c_lessequals(V_x,V_b,T_a) % 0.40/1.02 | ~ c_lessequals(V_x,c_Orderings_Oord__class_Omin(V_a,V_b,T_a),T_a) ) ). % 0.40/1.02 % 0.40/1.02 cnf(cls_min__max_Ole__infE_0,axiom, % 0.40/1.02 ( ~ class_Orderings_Olinorder(T_a) % 0.40/1.02 | c_lessequals(V_x,V_a,T_a) % 0.40/1.02 | ~ c_lessequals(V_x,c_Orderings_Oord__class_Omin(V_a,V_b,T_a),T_a) ) ). % 0.40/1.02 % 0.40/1.02 cnf(cls_sgn__greater_1,axiom, % 0.40/1.02 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.40/1.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Osgn__class_Osgn(V_a,T_a),T_a) % 0.40/1.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.40/1.02 % 0.40/1.02 cnf(cls_sgn__greater_0,axiom, % 0.40/1.02 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.40/1.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.40/1.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Osgn__class_Osgn(V_a,T_a),T_a) ) ). % 0.40/1.02 % 0.40/1.02 cnf(cls_divide__less__eq_1,axiom, % 0.40/1.02 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.40/1.02 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.40/1.02 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) % 0.40/1.02 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.40/1.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.40/1.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) ) ). % 0.40/1.02 % 0.40/1.02 cnf(cls_divide__less__eq_4,axiom, % 0.40/1.02 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.40/1.02 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.40/1.02 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) % 0.40/1.02 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.40/1.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) % 0.40/1.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 0.40/1.02 % 0.40/1.02 cnf(cls_divide__less__eq_5,axiom, % 0.40/1.02 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.40/1.02 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.40/1.02 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) % 0.40/1.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.40/1.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) % 0.40/1.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 0.40/1.02 % 0.40/1.02 cnf(cls_divide__less__eq_7,axiom, % 0.40/1.02 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.40/1.02 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.40/1.02 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) % 0.40/1.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.40/1.02 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.40/1.02 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) ) ). % 0.40/1.02 % 0.40/1.02 cnf(cls_less__divide__eq_1,axiom, % 0.40/1.02 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.40/1.02 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.40/1.02 | c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) % 0.40/1.02 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.40/1.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.40/1.02 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ). % 0.40/1.02 % 0.40/1.02 cnf(cls_less__divide__eq_4,axiom, % 0.40/1.02 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.40/1.02 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.40/1.02 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 0.40/1.02 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.40/1.02 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) % 0.40/1.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 0.40/1.02 % 0.40/1.02 cnf(cls_less__divide__eq_5,axiom, % 0.40/1.02 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.40/1.02 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.40/1.02 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 0.40/1.02 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.40/1.02 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) % 0.40/1.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 0.40/1.02 % 0.40/1.02 cnf(cls_less__divide__eq_7,axiom, % 0.40/1.02 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.40/1.02 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.40/1.02 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 0.40/1.02 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.40/1.02 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.40/1.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) ) ). % 0.40/1.02 % 0.40/1.02 cnf(cls_inverse__le__1__iff_2,axiom, % 0.40/1.02 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.40/1.02 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.40/1.02 | c_lessequals(c_HOL_Oinverse__class_Oinverse(V_x,T_a),c_HOL_Oone__class_Oone(T_a),T_a) % 0.40/1.02 | ~ c_lessequals(c_HOL_Oone__class_Oone(T_a),V_x,T_a) ) ). % 0.40/1.02 % 0.40/1.02 cnf(cls_class__semiring_Osemiring__rules_I4_J_0,axiom, % 0.40/1.02 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.40/1.02 | c_HOL_Oplus__class_Oplus(V_m,V_m,T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(T_a),c_HOL_Oone__class_Oone(T_a),T_a),V_m,T_a) ) ). % 0.40/1.02 % 0.40/1.02 cnf(cls_add__nonneg__eq__0__iff_1,axiom, % 0.40/1.02 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 0.40/1.02 | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.40/1.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) % 0.40/1.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) % 0.40/1.02 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.40/1.02 % 0.40/1.02 cnf(cls_zero__le__double__add__iff__zero__le__single__add_1,axiom, % 0.40/1.02 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.40/1.02 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),T_a) % 0.40/1.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.40/1.02 % 0.40/1.02 cnf(cls_min__max_Oinf__left__idem_0,axiom, % 0.40/1.02 ( ~ class_Orderings_Olinorder(T_a) % 0.40/1.02 | 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) ) ). % 0.40/1.02 % 0.40/1.02 cnf(cls_nat__diff__add__eq2_0,axiom, % 0.40/1.02 ( c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_i,V_u,tc_nat),V_m,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_j,V_u,tc_nat),V_n,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(V_m,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_j,V_i,tc_nat),V_u,tc_nat),V_n,tc_nat),tc_nat) % 0.40/1.02 | ~ c_lessequals(V_i,V_j,tc_nat) ) ). % 0.40/1.02 % 0.40/1.02 cnf(cls_nat__diff__add__eq1_0,axiom, % 0.40/1.02 ( c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_i,V_u,tc_nat),V_m,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_j,V_u,tc_nat),V_n,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_i,V_j,tc_nat),V_u,tc_nat),V_m,tc_nat),V_n,tc_nat) % 0.40/1.02 | ~ c_lessequals(V_j,V_i,tc_nat) ) ). % 0.40/1.02 % 0.40/1.02 cnf(cls_diff__add__cancel_0,axiom, % 0.40/1.02 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.40/1.02 | c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_b,T_a) = V_a ) ). % 0.40/1.02 % 0.40/1.02 cnf(cls_inverse__nonnegative__iff__nonnegative_0,axiom, % 0.40/1.02 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.40/1.02 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.40/1.02 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.40/1.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) ) ). % 0.40/1.02 % 0.40/1.02 cnf(cls_inverse__nonnegative__iff__nonnegative_1,axiom, % 0.40/1.02 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.40/1.02 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.40/1.02 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) % 0.40/1.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.40/1.02 % 0.40/1.02 cnf(cls_inverse__inverse__eq_0,axiom, % 0.40/1.02 ( ~ class_Ring__and__Field_Odivision__ring(T_a) % 0.40/1.02 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.40/1.02 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) = V_a ) ). % 0.40/1.02 % 0.40/1.02 cnf(cls_mult__le__cancel2_1,axiom, % 0.40/1.02 ( c_lessequals(c_HOL_Otimes__class_Otimes(V_m,V_k,tc_nat),c_HOL_Otimes__class_Otimes(V_n,V_k,tc_nat),tc_nat) % 0.40/1.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) ) ). % 0.40/1.02 % 0.40/1.02 cnf(cls_mult__le__cancel1_1,axiom, % 0.40/1.02 ( c_lessequals(c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat),tc_nat) % 0.40/1.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) ) ). % 0.40/1.02 % 0.40/1.02 cnf(cls_class__semiring_Opwr__pwr_0,axiom, % 0.40/1.02 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.40/1.02 | c_Power_Opower__class_Opower(c_Power_Opower__class_Opower(V_x,V_p,T_a),V_q,T_a) = c_Power_Opower__class_Opower(V_x,c_HOL_Otimes__class_Otimes(V_p,V_q,tc_nat),T_a) ) ). % 0.40/1.02 % 0.40/1.02 cnf(cls_power__Suc2_0,axiom, % 0.40/1.02 ( ~ class_OrderedGroup_Omonoid__mult(T_a) % 0.40/1.02 | c_Power_Opower__class_Opower(V_a,c_Suc(V_n),T_a) = c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_a,V_n,T_a),V_a,T_a) ) ). % 0.40/1.02 % 0.40/1.02 cnf(cls_power__Suc_0,axiom, % 0.40/1.02 ( ~ class_Power_Opower(T_a) % 0.40/1.02 | c_Power_Opower__class_Opower(V_a,c_Suc(V_n),T_a) = c_HOL_Otimes__class_Otimes(V_a,c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a) ) ). % 0.40/1.02 % 0.40/1.02 cnf(cls_class__semiring_Opwr__Suc_0,axiom, % 0.40/1.02 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.40/1.02 | c_Power_Opower__class_Opower(V_x,c_Suc(V_n),T_a) = c_HOL_Otimes__class_Otimes(V_x,c_Power_Opower__class_Opower(V_x,V_n,T_a),T_a) ) ). % 0.40/1.02 % 0.40/1.02 cnf(cls_class__semiring_Osemiring__rules_I35_J_0,axiom, % 0.40/1.02 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.40/1.02 | c_Power_Opower__class_Opower(V_x,c_Suc(V_q),T_a) = c_HOL_Otimes__class_Otimes(V_x,c_Power_Opower__class_Opower(V_x,V_q,T_a),T_a) ) ). % 0.40/1.02 % 0.40/1.02 cnf(cls_add__le__mono_0,axiom, % 0.40/1.02 ( c_lessequals(c_HOL_Oplus__class_Oplus(V_i,V_k,tc_nat),c_HOL_Oplus__class_Oplus(V_j,V_l,tc_nat),tc_nat) % 0.40/1.02 | ~ c_lessequals(V_k,V_l,tc_nat) % 0.40/1.02 | ~ c_lessequals(V_i,V_j,tc_nat) ) ). % 0.40/1.02 % 0.40/1.02 cnf(cls_add__mono_0,axiom, % 0.40/1.02 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a) % 0.40/1.02 | 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) % 0.40/1.02 | ~ c_lessequals(V_c,V_d,T_a) % 0.40/1.02 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.40/1.02 % 0.40/1.02 cnf(cls_less__Suc__eq__le_1,axiom, % 0.40/1.02 ( c_HOL_Oord__class_Oless(V_m,c_Suc(V_n),tc_nat) % 0.40/1.02 | ~ c_lessequals(V_m,V_n,tc_nat) ) ). % 0.40/1.02 % 0.40/1.02 cnf(cls_less__Suc__eq__le_0,axiom, % 0.40/1.02 ( c_lessequals(V_m,V_n,tc_nat) % 0.40/1.02 | ~ c_HOL_Oord__class_Oless(V_m,c_Suc(V_n),tc_nat) ) ). % 0.40/1.02 % 0.40/1.02 cnf(cls_le__less__Suc__eq_1,axiom, % 0.40/1.02 ( ~ c_lessequals(V_x,V_x,tc_nat) % 0.40/1.02 | c_HOL_Oord__class_Oless(V_x,c_Suc(V_x),tc_nat) ) ). % 0.40/1.02 % 0.40/1.02 cnf(cls_class__semiring_Omul__c_0,axiom, % 0.40/1.02 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.40/1.02 | c_HOL_Otimes__class_Otimes(V_x,V_y,T_a) = c_HOL_Otimes__class_Otimes(V_y,V_x,T_a) ) ). % 0.40/1.02 % 0.40/1.02 cnf(cls_nat__mult__commute_0,axiom, % 0.40/1.02 c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat) = c_HOL_Otimes__class_Otimes(V_n,V_m,tc_nat) ). % 0.40/1.02 % 0.40/1.02 cnf(cls_add__nonneg__eq__0__iff_2,axiom, % 0.40/1.02 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 0.40/1.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.40/1.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.40/1.02 | 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) ) ). % 0.40/1.02 % 0.40/1.02 cnf(cls_class__semiring_Osemiring__rules_I7_J_0,axiom, % 0.40/1.02 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.40/1.02 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) = c_HOL_Otimes__class_Otimes(V_b,V_a,T_a) ) ). % 0.40/1.02 % 0.40/1.02 cnf(cls_diff__less__Suc_0,axiom, % 0.40/1.02 c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),c_Suc(V_m),tc_nat) ). % 0.40/1.02 % 0.40/1.02 cnf(cls_add__nonneg__nonneg_0,axiom, % 0.40/1.02 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 0.40/1.02 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a) % 0.40/1.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.40/1.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.40/1.02 % 0.40/1.02 cnf(cls_inverse__less__imp__less_0,axiom, % 0.40/1.02 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.40/1.02 | c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 0.40/1.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.40/1.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a) ) ). % 0.40/1.02 % 0.40/1.02 cnf(cls_less__imp__inverse__less_0,axiom, % 0.40/1.02 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.40/1.02 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_b,T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) % 0.40/1.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.40/1.02 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.40/1.02 % 0.40/1.02 cnf(cls_inverse__less__imp__less__neg_0,axiom, % 0.40/1.02 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.40/1.02 | c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 0.40/1.02 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.40/1.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a) ) ). % 0.40/1.02 % 0.40/1.02 cnf(cls_less__imp__inverse__less__neg_0,axiom, % 0.40/1.02 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.40/1.02 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_b,T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) % 0.40/1.02 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.40/1.02 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.40/1.02 % 0.40/1.02 cnf(cls_power__Suc__less__one_0,axiom, % 0.40/1.02 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.40/1.02 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(V_a,c_Suc(V_n),T_a),c_HOL_Oone__class_Oone(T_a),T_a) % 0.40/1.02 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Oone__class_Oone(T_a),T_a) % 0.40/1.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.40/1.02 % 0.40/1.02 cnf(cls_order__less__trans_0,axiom, % 0.40/1.02 ( ~ class_Orderings_Opreorder(T_a) % 0.40/1.02 | c_HOL_Oord__class_Oless(V_x,V_z,T_a) % 0.40/1.02 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a) % 0.40/1.02 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.40/1.02 % 0.40/1.02 cnf(cls_xt1_I10_J_0,axiom, % 0.40/1.02 ( ~ class_Orderings_Oorder(T_a) % 0.40/1.02 | c_HOL_Oord__class_Oless(V_z,V_x,T_a) % 0.40/1.02 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a) % 0.40/1.02 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ). % 0.40/1.02 % 0.40/1.02 cnf(cls_sgn__if_2,axiom, % 0.40/1.02 ( ~ class_Ring__and__Field_Osgn__if(T_a) % 0.40/1.02 | c_HOL_Osgn__class_Osgn(V_x,T_a) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(T_a),T_a) % 0.40/1.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) % 0.40/1.02 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.40/1.02 % 0.40/1.02 cnf(cls_min__max_Ole__iff__sup_0,axiom, % 0.40/1.02 ( ~ class_Orderings_Olinorder(T_a) % 0.40/1.02 | c_Orderings_Oord__class_Omax(V_x,V_y,T_a) = V_y % 0.40/1.02 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.40/1.02 % 0.40/1.02 cnf(cls_min__max_Ole__iff__sup_1,axiom, % 0.40/1.02 ( ~ class_Orderings_Olinorder(T_a) % 0.40/1.02 | c_Orderings_Oord__class_Omax(V_x,V_y,T_a) != V_y % 0.40/1.02 | c_lessequals(V_x,V_y,T_a) ) ). % 0.40/1.02 % 0.40/1.02 cnf(cls_min__max_Osup__absorb1_0,axiom, % 0.40/1.02 ( ~ class_Orderings_Olinorder(T_a) % 0.40/1.02 | c_Orderings_Oord__class_Omax(V_x,V_y,T_a) = V_x % 0.40/1.02 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 0.40/1.02 % 0.40/1.02 cnf(cls_class__semiring_Oadd__a_0,axiom, % 0.40/1.02 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.40/1.02 | 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) ) ). % 0.40/1.02 % 0.40/1.02 cnf(cls_add__cancel__21_1,axiom, % 0.40/1.02 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.40/1.02 | 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) ) ). % 0.40/1.02 % 0.40/1.02 cnf(cls_nat__add__left__commute_0,axiom, % 0.40/1.02 c_HOL_Oplus__class_Oplus(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(V_y,c_HOL_Oplus__class_Oplus(V_x,V_z,tc_nat),tc_nat) ). % 0.40/1.02 % 0.40/1.02 cnf(cls_nat__add__assoc_0,axiom, % 0.40/1.02 c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat),V_k,tc_nat) = c_HOL_Oplus__class_Oplus(V_m,c_HOL_Oplus__class_Oplus(V_n,V_k,tc_nat),tc_nat) ). % 0.40/1.02 % 0.40/1.02 cnf(cls_comm__monoid__add_Omult__assoc_0,axiom, % 0.40/1.02 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.40/1.02 | 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) ) ). % 0.40/1.02 % 0.40/1.02 cnf(cls_comm__monoid__add_Omult__left__commute_0,axiom, % 0.40/1.02 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.40/1.02 | 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) ) ). % 0.40/1.02 % 0.40/1.02 cnf(cls_ab__semigroup__add__class_Oadd__ac_I1_J_0,axiom, % 0.40/1.02 ( ~ class_OrderedGroup_Oab__semigroup__add(T_a) % 0.40/1.02 | 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) ) ). % 0.40/1.02 % 0.40/1.02 cnf(cls_class__semiring_Osemiring__rules_I25_J_0,axiom, % 0.40/1.02 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.40/1.02 | 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) ) ). % 0.40/1.02 % 0.40/1.02 cnf(cls_class__semiring_Osemiring__rules_I23_J_0,axiom, % 0.40/1.02 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.40/1.02 | 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) ) ). % 0.40/1.02 % 0.40/1.02 cnf(cls_class__semiring_Osemiring__rules_I22_J_0,axiom, % 0.40/1.02 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.40/1.02 | 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) ) ). % 0.40/1.02 % 0.40/1.02 cnf(cls_class__semiring_Osemiring__rules_I21_J_0,axiom, % 0.40/1.02 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.40/1.02 | 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) ) ). % 0.40/1.02 % 0.40/1.02 cnf(cls_add__gr__0_0,axiom, % 0.40/1.02 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) % 0.40/1.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat) % 0.40/1.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat),tc_nat) ) ). % 0.40/1.02 % 0.40/1.02 cnf(cls_power__add_0,axiom, % 0.40/1.02 ( ~ class_OrderedGroup_Omonoid__mult(T_a) % 0.40/1.02 | c_Power_Opower__class_Opower(V_a,c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat),T_a) = c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_a,V_m,T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a) ) ). % 0.40/1.02 % 0.40/1.02 cnf(cls_one__le__mult__iff_1,axiom, % 0.40/1.02 ( c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_n,tc_nat) % 0.40/1.02 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat),tc_nat) ) ). % 0.40/1.02 % 0.40/1.02 cnf(cls_one__le__mult__iff_0,axiom, % 0.40/1.02 ( c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_m,tc_nat) % 0.40/1.02 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat),tc_nat) ) ). % 0.40/1.02 % 0.40/1.02 cnf(cls_add__cancel__21_0,axiom, % 0.40/1.02 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.40/1.02 | 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) % 0.40/1.02 | c_HOL_Oplus__class_Oplus(V_x,V_z,T_a) = V_u ) ). % 0.40/1.02 % 0.40/1.02 cnf(cls_trans__le__add2_0,axiom, % 0.40/1.02 ( c_lessequals(V_i,c_HOL_Oplus__class_Oplus(V_m,V_j,tc_nat),tc_nat) % 0.40/1.02 | ~ c_lessequals(V_i,V_j,tc_nat) ) ). % 0.40/1.02 % 0.40/1.02 cnf(cls_trans__le__add1_0,axiom, % 0.40/1.02 ( c_lessequals(V_i,c_HOL_Oplus__class_Oplus(V_j,V_m,tc_nat),tc_nat) % 0.40/1.02 | ~ c_lessequals(V_i,V_j,tc_nat) ) ). % 0.40/1.02 % 0.40/1.02 cnf(cls_add__leE_1,axiom, % 0.40/1.02 ( c_lessequals(V_k,V_n,tc_nat) % 0.40/1.02 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(V_m,V_k,tc_nat),V_n,tc_nat) ) ). % 0.40/1.02 % 0.40/1.02 cnf(cls_add__leE_0,axiom, % 0.40/1.02 ( c_lessequals(V_m,V_n,tc_nat) % 0.40/1.02 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(V_m,V_k,tc_nat),V_n,tc_nat) ) ). % 0.40/1.02 % 0.40/1.02 cnf(cls_termination__basic__simps_I4_J_0,axiom, % 0.40/1.02 ( c_lessequals(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,tc_nat),tc_nat) % 0.40/1.02 | ~ c_lessequals(V_x,V_z,tc_nat) ) ). % 0.40/1.02 % 0.40/1.02 cnf(cls_termination__basic__simps_I3_J_0,axiom, % 0.40/1.02 ( c_lessequals(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,tc_nat),tc_nat) % 0.40/1.02 | ~ c_lessequals(V_x,V_y,tc_nat) ) ). % 0.40/1.02 % 0.40/1.02 cnf(cls_inverse__positive__imp__positive_0,axiom, % 0.40/1.02 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.40/1.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.40/1.02 | V_a = c_HOL_Ozero__class_Ozero(T_a) % 0.40/1.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) ) ). % 0.40/1.02 % 0.40/1.02 cnf(cls_power__one_0,axiom, % 0.40/1.02 ( ~ class_OrderedGroup_Omonoid__mult(T_a) % 0.40/1.02 | c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(T_a),V_n,T_a) = c_HOL_Oone__class_Oone(T_a) ) ). % 0.40/1.02 % 0.40/1.02 cnf(cls_min__max_Ole__iff__inf_0,axiom, % 0.40/1.02 ( ~ class_Orderings_Olinorder(T_a) % 0.40/1.02 | c_Orderings_Oord__class_Omin(V_x,V_y,T_a) = V_x % 0.40/1.02 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.40/1.02 % 0.40/1.02 cnf(cls_min__max_Ole__iff__inf_1,axiom, % 0.40/1.02 ( ~ class_Orderings_Olinorder(T_a) % 0.40/1.02 | c_Orderings_Oord__class_Omin(V_x,V_y,T_a) != V_x % 0.40/1.02 | c_lessequals(V_x,V_y,T_a) ) ). % 0.40/1.02 % 0.40/1.02 cnf(cls_min__max_Oinf__absorb2_0,axiom, % 0.40/1.02 ( ~ class_Orderings_Olinorder(T_a) % 0.40/1.02 | c_Orderings_Oord__class_Omin(V_x,V_y,T_a) = V_y % 0.40/1.02 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 0.40/1.02 % 0.40/1.02 cnf(cls_max__diff__distrib__left_0,axiom, % 0.40/1.02 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.40/1.02 | 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) ) ). % 0.40/1.02 % 0.40/1.02 cnf(cls_not__leE_0,axiom, % 0.40/1.02 ( ~ class_Orderings_Olinorder(T_a) % 0.40/1.02 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.40/1.02 | c_lessequals(V_y,V_x,T_a) ) ). % 0.40/1.02 % 0.40/1.02 cnf(cls_linorder__antisym__conv2_1,axiom, % 0.40/1.02 ( ~ class_Orderings_Olinorder(T_a) % 0.40/1.02 | ~ c_lessequals(V_x,V_x,T_a) % 0.40/1.02 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ). % 0.40/1.03 % 0.40/1.03 cnf(cls_linorder__antisym__conv1_1,axiom, % 0.40/1.03 ( ~ class_Orderings_Olinorder(T_a) % 0.40/1.03 | c_HOL_Oord__class_Oless(V_x,V_x,T_a) % 0.40/1.03 | c_lessequals(V_x,V_x,T_a) ) ). % 0.40/1.03 % 0.40/1.03 cnf(cls_linorder__not__less_1,axiom, % 0.40/1.03 ( ~ class_Orderings_Olinorder(T_a) % 0.40/1.03 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.40/1.03 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 0.40/1.03 % 0.40/1.03 cnf(cls_linorder__not__less_0,axiom, % 0.40/1.03 ( ~ class_Orderings_Olinorder(T_a) % 0.40/1.03 | c_lessequals(V_y,V_x,T_a) % 0.40/1.03 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.40/1.03 % 0.40/1.03 cnf(cls_linorder__not__le_1,axiom, % 0.40/1.03 ( ~ class_Orderings_Olinorder(T_a) % 0.40/1.03 | ~ c_lessequals(V_x,V_y,T_a) % 0.40/1.03 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ). % 0.40/1.03 % 0.40/1.03 cnf(cls_linorder__not__le_0,axiom, % 0.40/1.03 ( ~ class_Orderings_Olinorder(T_a) % 0.40/1.03 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 0.40/1.03 | c_lessequals(V_x,V_y,T_a) ) ). % 0.40/1.03 % 0.40/1.03 cnf(cls_less__le__not__le_1,axiom, % 0.40/1.03 ( ~ class_Orderings_Opreorder(T_a) % 0.40/1.03 | ~ c_lessequals(V_y,V_x,T_a) % 0.40/1.03 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.40/1.03 % 0.40/1.03 cnf(cls_neg__0__le__iff__le_0,axiom, % 0.40/1.03 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.40/1.03 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.40/1.03 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ). % 0.40/1.03 % 0.40/1.03 cnf(cls_neg__0__le__iff__le_1,axiom, % 0.40/1.03 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.40/1.03 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) % 0.40/1.03 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.40/1.03 % 0.40/1.03 cnf(cls_divide__self__if_1,axiom, % 0.40/1.03 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.40/1.03 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.40/1.03 | c_HOL_Oinverse__class_Odivide(V_a,V_a,T_a) = c_HOL_Oone__class_Oone(T_a) % 0.40/1.03 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.40/1.03 % 0.40/1.03 cnf(cls_divide__self_0,axiom, % 0.40/1.03 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.40/1.03 | c_HOL_Oinverse__class_Odivide(V_a,V_a,T_a) = c_HOL_Oone__class_Oone(T_a) % 0.40/1.03 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.40/1.03 % 0.40/1.03 cnf(cls_right__inverse__eq_1,axiom, % 0.40/1.03 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.40/1.03 | V_x = c_HOL_Ozero__class_Ozero(T_a) % 0.40/1.03 | c_HOL_Oinverse__class_Odivide(V_x,V_x,T_a) = c_HOL_Oone__class_Oone(T_a) ) ). % 0.40/1.03 % 0.40/1.03 cnf(cls_zero__le__divide__iff_3,axiom, % 0.40/1.03 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.40/1.03 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.40/1.03 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.40/1.03 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.40/1.03 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) ) ). % 0.40/1.03 % 0.40/1.03 cnf(cls_zero__le__divide__iff_2,axiom, % 0.40/1.03 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.40/1.03 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.40/1.03 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.40/1.03 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.40/1.03 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) ) ). % 0.40/1.03 % 0.40/1.03 cnf(cls_zero__le__divide__iff_1,axiom, % 0.40/1.03 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.40/1.03 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.40/1.03 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.40/1.03 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.40/1.03 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) ) ). % 0.40/1.03 % 0.40/1.03 cnf(cls_zero__le__divide__iff_0,axiom, % 0.40/1.03 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.40/1.03 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.40/1.03 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.40/1.03 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.40/1.03 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) ) ). % 0.40/1.03 % 0.40/1.03 cnf(cls_min__max_Oinf__assoc_0,axiom, % 0.40/1.03 ( ~ class_Orderings_Olinorder(T_a) % 0.40/1.03 | 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) ) ). % 0.40/1.03 % 0.40/1.03 cnf(cls_min__max_Oinf__left__commute_0,axiom, % 0.40/1.03 ( ~ class_Orderings_Olinorder(T_a) % 0.40/1.03 | 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) ) ). % 0.40/1.03 % 0.40/1.03 cnf(cls_one__is__add_5,axiom, % 0.40/1.03 c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ). % 0.40/1.03 % 0.40/1.03 cnf(cls_add__strict__increasing2_0,axiom, % 0.40/1.03 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.40/1.03 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.40/1.03 | c_HOL_Oord__class_Oless(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a) % 0.40/1.03 | ~ c_HOL_Oord__class_Oless(V_b,V_c,T_a) % 0.40/1.03 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.40/1.03 % 0.40/1.03 cnf(cls_power__increasing_0,axiom, % 0.40/1.03 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.40/1.03 | c_lessequals(c_Power_Opower__class_Opower(V_a,V_n,T_a),c_Power_Opower__class_Opower(V_a,V_N,T_a),T_a) % 0.40/1.03 | ~ c_lessequals(c_HOL_Oone__class_Oone(T_a),V_a,T_a) % 0.40/1.03 | ~ c_lessequals(V_n,V_N,tc_nat) ) ). % 0.40/1.03 % 0.40/1.03 cnf(cls_diff__le__mono2_0,axiom, % 0.40/1.03 ( c_lessequals(c_HOL_Ominus__class_Ominus(V_l,V_n,tc_nat),c_HOL_Ominus__class_Ominus(V_l,V_m,tc_nat),tc_nat) % 0.40/1.03 | ~ c_lessequals(V_m,V_n,tc_nat) ) ). % 0.40/1.03 % 0.40/1.03 cnf(cls_diff__le__mono_0,axiom, % 0.40/1.03 ( c_lessequals(c_HOL_Ominus__class_Ominus(V_m,V_l,tc_nat),c_HOL_Ominus__class_Ominus(V_n,V_l,tc_nat),tc_nat) % 0.40/1.03 | ~ c_lessequals(V_m,V_n,tc_nat) ) ). % 0.40/1.03 % 0.40/1.03 cnf(cls_le__diff__iff_1,axiom, % 0.40/1.03 ( c_lessequals(c_HOL_Ominus__class_Ominus(V_m,V_k,tc_nat),c_HOL_Ominus__class_Ominus(V_n,V_k,tc_nat),tc_nat) % 0.40/1.03 | ~ c_lessequals(V_m,V_n,tc_nat) % 0.40/1.03 | ~ c_lessequals(V_k,V_n,tc_nat) % 0.40/1.03 | ~ c_lessequals(V_k,V_m,tc_nat) ) ). % 0.40/1.03 % 0.40/1.03 cnf(cls_le__diff__iff_0,axiom, % 0.40/1.03 ( c_lessequals(V_m,V_n,tc_nat) % 0.40/1.03 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(V_m,V_k,tc_nat),c_HOL_Ominus__class_Ominus(V_n,V_k,tc_nat),tc_nat) % 0.40/1.03 | ~ c_lessequals(V_k,V_n,tc_nat) % 0.40/1.03 | ~ c_lessequals(V_k,V_m,tc_nat) ) ). % 0.40/1.03 % 0.40/1.03 cnf(cls_diff__add__0_0,axiom, % 0.40/1.03 c_HOL_Ominus__class_Ominus(V_n,c_HOL_Oplus__class_Oplus(V_n,V_m,tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ). % 0.40/1.03 % 0.40/1.03 cnf(cls_diff__diff__left_0,axiom, % 0.40/1.03 c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_i,V_j,tc_nat),V_k,tc_nat) = c_HOL_Ominus__class_Ominus(V_i,c_HOL_Oplus__class_Oplus(V_j,V_k,tc_nat),tc_nat) ). % 0.40/1.03 % 0.40/1.03 cnf(cls_power__mono_0,axiom, % 0.40/1.03 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.40/1.03 | c_lessequals(c_Power_Opower__class_Opower(V_a,V_n,T_a),c_Power_Opower__class_Opower(V_b,V_n,T_a),T_a) % 0.40/1.03 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.40/1.03 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.40/1.03 % 0.40/1.03 cnf(cls_eq__eqI_1,axiom, % 0.40/1.03 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.40/1.03 | c_HOL_Ominus__class_Ominus(V_xa,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) % 0.40/1.03 | V_xa = V_y ) ). % 0.40/1.03 % 0.40/1.03 cnf(cls_eq__eqI_0,axiom, % 0.40/1.03 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.40/1.03 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a) % 0.40/1.03 | V_x_H = V_y_H ) ). % 0.40/1.03 % 0.40/1.03 cnf(cls_eq__diff__iff_0,axiom, % 0.40/1.03 ( c_HOL_Ominus__class_Ominus(V_m,V_k,tc_nat) != c_HOL_Ominus__class_Ominus(V_n,V_k,tc_nat) % 0.40/1.03 | ~ c_lessequals(V_k,V_n,tc_nat) % 0.40/1.03 | ~ c_lessequals(V_k,V_m,tc_nat) % 0.40/1.03 | V_m = V_n ) ). % 0.40/1.03 % 0.40/1.03 cnf(cls_min__max_Oinf__sup__absorb_0,axiom, % 0.40/1.03 ( ~ class_Orderings_Olinorder(T_a) % 0.40/1.03 | c_Orderings_Oord__class_Omin(V_x,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) = V_x ) ). % 0.40/1.03 % 0.40/1.03 cnf(cls_nat__mult__eq__cancel1_0,axiom, % 0.40/1.03 ( c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat) != c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat) % 0.40/1.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) % 0.40/1.03 | V_m = V_n ) ). % 0.40/1.03 % 0.40/1.03 cnf(cls_one__is__add_3,axiom, % 0.40/1.03 ( c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) != c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat) % 0.40/1.03 | V_n = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) % 0.40/1.03 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 0.40/1.03 % 0.40/1.03 cnf(cls_add__nonneg__eq__0__iff_0,axiom, % 0.40/1.03 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 0.40/1.03 | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.40/1.03 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) % 0.40/1.03 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) % 0.40/1.03 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.40/1.03 % 0.40/1.03 cnf(cls_Suc__inject_0,axiom, % 0.40/1.03 ( c_Suc(V_x) != c_Suc(V_y) % 0.40/1.03 | V_x = V_y ) ). % 0.40/1.03 % 0.40/1.03 cnf(cls_nat_Oinject_0,axiom, % 0.40/1.03 ( c_Suc(V_nat) != c_Suc(V_nat_H) % 0.40/1.03 | V_nat = V_nat_H ) ). % 0.40/1.03 % 0.40/1.03 cnf(cls_diff__divide__distrib_0,axiom, % 0.40/1.03 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.40/1.03 | 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) ) ). % 0.40/1.03 % 0.40/1.03 cnf(cls_less__add__iff2_1,axiom, % 0.40/1.03 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 0.40/1.03 | 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) % 0.40/1.03 | ~ 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) ) ). % 0.40/1.03 % 0.40/1.03 cnf(cls_less__add__iff2_0,axiom, % 0.40/1.03 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 0.40/1.03 | 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) % 0.40/1.03 | ~ 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) ) ). % 0.40/1.03 % 0.40/1.03 cnf(cls_less__add__iff1_1,axiom, % 0.40/1.03 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 0.40/1.03 | 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) % 0.40/1.03 | ~ 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) ) ). % 0.40/1.03 % 0.40/1.03 cnf(cls_less__add__iff1_0,axiom, % 0.40/1.03 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 0.40/1.03 | 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) % 0.40/1.03 | ~ 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) ) ). % 0.40/1.03 % 0.40/1.03 cnf(cls_nat__eq__add__iff1_0,axiom, % 0.40/1.03 ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_i,V_u,tc_nat),V_m,tc_nat) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_j,V_u,tc_nat),V_n,tc_nat) % 0.40/1.03 | ~ c_lessequals(V_j,V_i,tc_nat) % 0.40/1.03 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_i,V_j,tc_nat),V_u,tc_nat),V_m,tc_nat) = V_n ) ). % 0.40/1.03 % 0.40/1.03 cnf(cls_nat__eq__add__iff2_0,axiom, % 0.40/1.03 ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_i,V_u,tc_nat),V_m,tc_nat) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_j,V_u,tc_nat),V_n,tc_nat) % 0.40/1.03 | ~ c_lessequals(V_i,V_j,tc_nat) % 0.40/1.03 | V_m = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_j,V_i,tc_nat),V_u,tc_nat),V_n,tc_nat) ) ). % 0.40/1.03 % 0.40/1.03 cnf(cls_min__le__iff__disj_0,axiom, % 0.40/1.03 ( ~ class_Orderings_Olinorder(T_a) % 0.40/1.03 | c_lessequals(V_y,V_z,T_a) % 0.40/1.03 | c_lessequals(V_x,V_z,T_a) % 0.40/1.03 | ~ c_lessequals(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a) ) ). % 0.40/1.03 % 0.40/1.03 cnf(cls_nat__eq__add__iff2_1,axiom, % 0.40/1.03 ( ~ c_lessequals(V_i,V_j,tc_nat) % 0.40/1.03 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_i,V_u,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_j,V_i,tc_nat),V_u,tc_nat),V_n,tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_j,V_u,tc_nat),V_n,tc_nat) ) ). % 0.40/1.03 % 0.40/1.03 cnf(cls_eq__divide__eq_4,axiom, % 0.40/1.03 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.40/1.03 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.40/1.03 | 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) ) ). % 0.40/1.03 % 0.40/1.03 cnf(cls_less__Suc0_1,axiom, % 0.40/1.03 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ). % 0.40/1.03 % 0.40/1.03 cnf(cls_double__add__less__zero__iff__single__less__zero_1,axiom, % 0.40/1.03 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.40/1.03 | 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) % 0.40/1.03 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.40/1.03 % 0.40/1.03 cnf(cls_double__add__less__zero__iff__single__less__zero_0,axiom, % 0.40/1.03 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.40/1.03 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.40/1.03 | ~ 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) ) ). % 0.40/1.03 % 0.40/1.03 cnf(cls_even__less__0__iff_0,axiom, % 0.40/1.03 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.40/1.03 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.40/1.03 | ~ 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) ) ). % 0.40/1.03 % 0.40/1.03 cnf(cls_even__less__0__iff_1,axiom, % 0.40/1.03 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.40/1.03 | 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) % 0.40/1.03 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.40/1.03 % 0.40/1.03 cnf(cls_one__is__add_1,axiom, % 0.40/1.03 ( c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) != c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat) % 0.40/1.03 | V_n = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) % 0.40/1.03 | V_m = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ). % 0.40/1.03 % 0.40/1.03 cnf(cls_one__is__add_2,axiom, % 0.40/1.03 ( c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) != c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat) % 0.40/1.03 | V_m = c_HOL_Ozero__class_Ozero(tc_nat) % 0.40/1.03 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 0.40/1.03 % 0.40/1.03 cnf(cls_zero__less__mult__pos2_0,axiom, % 0.40/1.03 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.40/1.03 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.40/1.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.40/1.03 | ~ 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) ) ). % 0.40/1.03 % 0.40/1.03 cnf(cls_zero__less__mult__pos_0,axiom, % 0.40/1.03 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.40/1.03 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.40/1.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.40/1.03 | ~ 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) ) ). % 0.40/1.03 % 0.40/1.03 cnf(cls_mult__pos__pos_0,axiom, % 0.40/1.03 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.40/1.03 | 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) % 0.40/1.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.40/1.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.40/1.03 % 0.40/1.03 cnf(cls_mult__neg__neg_0,axiom, % 0.40/1.03 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.40/1.03 | 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) % 0.40/1.03 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.40/1.03 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.40/1.03 % 0.40/1.03 cnf(cls_nat__0__less__mult__iff_2,axiom, % 0.40/1.03 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat),tc_nat) % 0.40/1.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) % 0.40/1.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat) ) ). % 0.40/1.03 % 0.40/1.03 cnf(cls_power__less__imp__less__base_0,axiom, % 0.40/1.03 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.40/1.03 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.40/1.03 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.40/1.03 | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(V_a,V_n,T_a),c_Power_Opower__class_Opower(V_b,V_n,T_a),T_a) ) ). % 0.40/1.03 % 0.40/1.03 cnf(cls_min__max_Ole__sup__iff_1,axiom, % 0.40/1.03 ( ~ class_Orderings_Olinorder(T_a) % 0.40/1.03 | c_lessequals(V_y,V_z,T_a) % 0.40/1.03 | ~ c_lessequals(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a) ) ). % 0.40/1.03 % 0.40/1.03 cnf(cls_min__max_Ole__sup__iff_0,axiom, % 0.40/1.03 ( ~ class_Orderings_Olinorder(T_a) % 0.40/1.03 | c_lessequals(V_x,V_z,T_a) % 0.40/1.03 | ~ c_lessequals(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a) ) ). % 0.40/1.03 % 0.40/1.03 cnf(cls_le__max__iff__disj_2,axiom, % 0.40/1.03 ( ~ class_Orderings_Olinorder(T_a) % 0.40/1.03 | c_lessequals(V_z,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) % 0.40/1.03 | ~ c_lessequals(V_z,V_y,T_a) ) ). % 0.40/1.03 % 0.40/1.03 cnf(cls_le__max__iff__disj_1,axiom, % 0.40/1.03 ( ~ class_Orderings_Olinorder(T_a) % 0.40/1.03 | c_lessequals(V_z,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) % 0.40/1.03 | ~ c_lessequals(V_z,V_x,T_a) ) ). % 0.40/1.03 % 0.40/1.03 cnf(cls_min__max_Ole__supI2_0,axiom, % 0.40/1.03 ( ~ class_Orderings_Olinorder(T_a) % 0.40/1.03 | c_lessequals(V_x,c_Orderings_Oord__class_Omax(V_a,V_b,T_a),T_a) % 0.40/1.03 | ~ c_lessequals(V_x,V_b,T_a) ) ). % 0.40/1.03 % 0.40/1.03 cnf(cls_min__max_Ole__supI1_0,axiom, % 0.40/1.03 ( ~ class_Orderings_Olinorder(T_a) % 0.40/1.03 | c_lessequals(V_x,c_Orderings_Oord__class_Omax(V_a,V_b,T_a),T_a) % 0.40/1.03 | ~ c_lessequals(V_x,V_a,T_a) ) ). % 0.40/1.03 % 0.40/1.03 cnf(cls_min__max_Ole__supE_1,axiom, % 0.40/1.03 ( ~ class_Orderings_Olinorder(T_a) % 0.40/1.03 | c_lessequals(V_b,V_x,T_a) % 0.40/1.03 | ~ c_lessequals(c_Orderings_Oord__class_Omax(V_a,V_b,T_a),V_x,T_a) ) ). % 0.40/1.03 % 0.40/1.03 cnf(cls_min__max_Ole__supE_0,axiom, % 0.40/1.03 ( ~ class_Orderings_Olinorder(T_a) % 0.40/1.03 | c_lessequals(V_a,V_x,T_a) % 0.40/1.03 | ~ c_lessequals(c_Orderings_Oord__class_Omax(V_a,V_b,T_a),V_x,T_a) ) ). % 0.40/1.03 % 0.40/1.03 cnf(cls_le__diff__conv_0,axiom, % 0.40/1.03 ( c_lessequals(V_j,c_HOL_Oplus__class_Oplus(V_i,V_k,tc_nat),tc_nat) % 0.40/1.03 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),V_i,tc_nat) ) ). % 0.40/1.03 % 0.40/1.03 cnf(cls_le__diff__conv_1,axiom, % 0.40/1.03 ( c_lessequals(c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),V_i,tc_nat) % 0.40/1.03 | ~ c_lessequals(V_j,c_HOL_Oplus__class_Oplus(V_i,V_k,tc_nat),tc_nat) ) ). % 0.40/1.03 % 0.40/1.03 cnf(cls_zero__less__power_0,axiom, % 0.40/1.03 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.40/1.03 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a) % 0.40/1.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.40/1.03 % 0.40/1.03 cnf(cls_less__max__iff__disj_0,axiom, % 0.40/1.03 ( ~ class_Orderings_Olinorder(T_a) % 0.40/1.03 | c_HOL_Oord__class_Oless(V_z,V_y,T_a) % 0.40/1.03 | c_HOL_Oord__class_Oless(V_z,V_x,T_a) % 0.40/1.03 | ~ c_HOL_Oord__class_Oless(V_z,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) ) ). % 0.40/1.03 % 0.40/1.03 cnf(cls_mult__Suc__right_0,axiom, % 0.40/1.03 c_HOL_Otimes__class_Otimes(V_m,c_Suc(V_n),tc_nat) = c_HOL_Oplus__class_Oplus(V_m,c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat),tc_nat) ). % 0.40/1.03 % 0.40/1.03 cnf(cls_mult__Suc_0,axiom, % 0.40/1.03 c_HOL_Otimes__class_Otimes(c_Suc(V_m),V_n,tc_nat) = c_HOL_Oplus__class_Oplus(V_n,c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat),tc_nat) ). % 0.40/1.03 % 0.40/1.03 cnf(cls_eq__neg__iff__add__eq__0_1,axiom, % 0.40/1.03 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.40/1.03 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.91/1.03 | V_a = c_HOL_Ouminus__class_Ouminus(V_b,T_a) ) ). % 0.91/1.03 % 0.91/1.03 cnf(cls_minus__unique_0,axiom, % 0.91/1.03 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.91/1.03 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.91/1.03 | c_HOL_Ouminus__class_Ouminus(V_a,T_a) = V_b ) ). % 0.91/1.03 % 0.91/1.03 cnf(cls_substn_Osimps_I1_J_2,axiom, % 0.91/1.03 ( c_Lambda_Osubstn(c_Lambda_OdB_OVar(V_i),V_s,V_k) = c_Lambda_OdB_OVar(V_i) % 0.91/1.03 | V_i = V_k % 0.91/1.03 | c_HOL_Oord__class_Oless(V_k,V_i,tc_nat) ) ). % 0.91/1.03 % 0.91/1.03 cnf(cls_not__one__less__zero_0,axiom, % 0.91/1.03 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.91/1.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.91/1.03 % 0.91/1.03 cnf(cls_sgn__if_1,axiom, % 0.91/1.03 ( ~ class_Ring__and__Field_Osgn__if(T_a) % 0.91/1.03 | c_HOL_Osgn__class_Osgn(V_x,T_a) = c_HOL_Oone__class_Oone(T_a) % 0.91/1.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) % 0.91/1.03 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.91/1.03 % 0.91/1.03 cnf(cls_dB_Osimps_I3_J_0,axiom, % 0.91/1.03 ( c_Lambda_OdB_OAbs(V_dB) != c_Lambda_OdB_OAbs(V_dB_H) % 0.91/1.03 | V_dB = V_dB_H ) ). % 0.91/1.03 % 0.91/1.03 cnf(cls_not__sum__squares__lt__zero_0,axiom, % 0.91/1.03 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.91/1.03 | ~ 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) ) ). % 0.91/1.03 % 0.91/1.03 cnf(cls_nat__le__add__iff1_0,axiom, % 0.91/1.03 ( c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_i,V_j,tc_nat),V_u,tc_nat),V_m,tc_nat),V_n,tc_nat) % 0.91/1.03 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_i,V_u,tc_nat),V_m,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_j,V_u,tc_nat),V_n,tc_nat),tc_nat) % 0.91/1.03 | ~ c_lessequals(V_j,V_i,tc_nat) ) ). % 0.91/1.03 % 0.91/1.03 cnf(cls_nat__le__add__iff1_1,axiom, % 0.91/1.03 ( c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_i,V_u,tc_nat),V_m,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_j,V_u,tc_nat),V_n,tc_nat),tc_nat) % 0.91/1.03 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_i,V_j,tc_nat),V_u,tc_nat),V_m,tc_nat),V_n,tc_nat) % 0.91/1.03 | ~ c_lessequals(V_j,V_i,tc_nat) ) ). % 0.91/1.03 % 0.91/1.03 cnf(cls_nat__le__add__iff2_0,axiom, % 0.91/1.03 ( c_lessequals(V_m,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_j,V_i,tc_nat),V_u,tc_nat),V_n,tc_nat),tc_nat) % 0.91/1.03 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_i,V_u,tc_nat),V_m,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_j,V_u,tc_nat),V_n,tc_nat),tc_nat) % 0.91/1.03 | ~ c_lessequals(V_i,V_j,tc_nat) ) ). % 0.91/1.03 % 0.91/1.03 cnf(cls_nat__le__add__iff2_1,axiom, % 0.91/1.03 ( c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_i,V_u,tc_nat),V_m,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_j,V_u,tc_nat),V_n,tc_nat),tc_nat) % 0.91/1.03 | ~ c_lessequals(V_m,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_j,V_i,tc_nat),V_u,tc_nat),V_n,tc_nat),tc_nat) % 0.91/1.03 | ~ c_lessequals(V_i,V_j,tc_nat) ) ). % 0.91/1.03 % 0.91/1.03 cnf(cls_divide__le__eq_8,axiom, % 0.91/1.03 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.03 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.03 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) % 0.91/1.03 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.03 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) % 0.91/1.03 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) ) ). % 0.91/1.03 % 0.91/1.03 cnf(cls_le__divide__eq_8,axiom, % 0.91/1.03 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.03 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.03 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 0.91/1.03 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.03 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) % 0.91/1.03 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) ) ). % 0.91/1.03 % 0.91/1.03 cnf(cls_of__nat__mult_0,axiom, % 0.91/1.03 ( ~ class_Ring__and__Field_Osemiring__1(T_a) % 0.91/1.03 | c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat),T_a) = c_HOL_Otimes__class_Otimes(c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a),T_a) ) ). % 0.91/1.03 % 0.91/1.03 cnf(cls_min__less__iff__disj_0,axiom, % 0.91/1.03 ( ~ class_Orderings_Olinorder(T_a) % 0.91/1.03 | c_HOL_Oord__class_Oless(V_y,V_z,T_a) % 0.91/1.03 | c_HOL_Oord__class_Oless(V_x,V_z,T_a) % 0.91/1.03 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a) ) ). % 0.91/1.03 % 0.91/1.03 cnf(cls_class__ringb_Oadd__mul__solve_0,axiom, % 0.91/1.03 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.91/1.03 | ~ class_Int_Onumber__ring(T_a) % 0.91/1.03 | 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) % 0.91/1.03 | V_y = V_z % 0.91/1.03 | V_w = V_x ) ). % 0.91/1.03 % 0.91/1.03 cnf(cls_class__ringb_Onoteq__reduce_0,axiom, % 0.91/1.03 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.91/1.03 | ~ class_Int_Onumber__ring(T_a) % 0.91/1.03 | 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) % 0.91/1.03 | V_c = V_d % 0.91/1.03 | V_a = V_b ) ). % 0.91/1.03 % 0.91/1.03 cnf(cls_natgb_Onoteq__reduce_0,axiom, % 0.91/1.03 ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_c,tc_nat),c_HOL_Otimes__class_Otimes(V_b,V_d,tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_d,tc_nat),c_HOL_Otimes__class_Otimes(V_b,V_c,tc_nat),tc_nat) % 0.91/1.03 | V_c = V_d % 0.91/1.03 | V_a = V_b ) ). % 0.91/1.03 % 0.91/1.03 cnf(cls_natgb_Oadd__mul__solve_0,axiom, % 0.91/1.03 ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_w,V_y,tc_nat),c_HOL_Otimes__class_Otimes(V_x,V_z,tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_w,V_z,tc_nat),c_HOL_Otimes__class_Otimes(V_x,V_y,tc_nat),tc_nat) % 0.91/1.03 | V_y = V_z % 0.91/1.03 | V_w = V_x ) ). % 0.91/1.03 % 0.91/1.03 cnf(cls_nat__size_0,axiom, % 0.91/1.03 c_Nat_Osize__class_Osize(V_n,tc_nat) = V_n ). % 0.91/1.03 % 0.91/1.03 cnf(cls_nonzero__inverse__minus__eq_0,axiom, % 0.91/1.03 ( ~ class_Ring__and__Field_Odivision__ring(T_a) % 0.91/1.03 | c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) % 0.91/1.03 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.91/1.03 % 0.91/1.03 cnf(cls_nonzero__power__inverse_0,axiom, % 0.91/1.03 ( ~ class_Ring__and__Field_Odivision__ring(T_a) % 0.91/1.03 | c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(V_a,T_a),V_n,T_a) % 0.91/1.03 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.91/1.03 % 0.91/1.03 cnf(cls_diff__Suc__Suc_0,axiom, % 0.91/1.03 c_HOL_Ominus__class_Ominus(c_Suc(V_m),c_Suc(V_n),tc_nat) = c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat) ). % 0.91/1.03 % 0.91/1.03 cnf(cls_neg__less__iff__less_1,axiom, % 0.91/1.03 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.91/1.03 | 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) % 0.91/1.03 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.91/1.03 % 0.91/1.03 cnf(cls_neg__less__iff__less_0,axiom, % 0.91/1.03 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.91/1.03 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.91/1.03 | ~ 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) ) ). % 0.91/1.03 % 0.91/1.03 cnf(cls_add__nonpos__neg_0,axiom, % 0.91/1.03 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 0.91/1.03 | 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) % 0.91/1.03 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.03 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.91/1.03 % 0.91/1.03 cnf(cls_add__neg__nonpos_0,axiom, % 0.91/1.03 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 0.91/1.03 | 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) % 0.91/1.03 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.03 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.91/1.03 % 0.91/1.03 cnf(cls_less__SucE_0,axiom, % 0.91/1.03 ( V_m = V_n % 0.91/1.03 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) % 0.91/1.03 | ~ c_HOL_Oord__class_Oless(V_m,c_Suc(V_n),tc_nat) ) ). % 0.91/1.03 % 0.91/1.03 cnf(cls_less__antisym_0,axiom, % 0.91/1.03 ( V_m = V_n % 0.91/1.03 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat) % 0.91/1.03 | c_HOL_Oord__class_Oless(V_n,V_m,tc_nat) ) ). % 0.91/1.03 % 0.91/1.03 cnf(cls_not__less__less__Suc__eq_0,axiom, % 0.91/1.03 ( V_n = V_m % 0.91/1.03 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat) % 0.91/1.03 | c_HOL_Oord__class_Oless(V_n,V_m,tc_nat) ) ). % 0.91/1.03 % 0.91/1.03 cnf(cls_sum__squares__le__zero__iff_2,axiom, % 0.91/1.03 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.91/1.03 | 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) ) ). % 0.91/1.03 % 0.91/1.03 cnf(cls_diff__add__assoc_0,axiom, % 0.91/1.03 ( c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_i,V_j,tc_nat),V_k,tc_nat) = c_HOL_Oplus__class_Oplus(V_i,c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),tc_nat) % 0.91/1.03 | ~ c_lessequals(V_k,V_j,tc_nat) ) ). % 0.91/1.03 % 0.91/1.03 cnf(cls_diff__add__assoc2_0,axiom, % 0.91/1.03 ( c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_j,V_i,tc_nat),V_k,tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),V_i,tc_nat) % 0.91/1.03 | ~ c_lessequals(V_k,V_j,tc_nat) ) ). % 0.91/1.03 % 0.91/1.03 cnf(cls_add__frac__eq_0,axiom, % 0.91/1.03 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.91/1.03 | 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) % 0.91/1.03 | V_z = c_HOL_Ozero__class_Ozero(T_a) % 0.91/1.03 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.91/1.03 % 0.91/1.03 cnf(cls_mult__eq__1__iff_2,axiom, % 0.91/1.03 c_HOL_Otimes__class_Otimes(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ). % 0.91/1.03 % 0.91/1.03 cnf(cls_class__semiring_Osemiring__rules_I13_J_0,axiom, % 0.91/1.03 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.91/1.03 | 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) ) ). % 0.91/1.03 % 0.91/1.03 cnf(cls_class__semiring_Osemiring__rules_I14_J_0,axiom, % 0.91/1.03 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.91/1.03 | 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) ) ). % 0.91/1.03 % 0.91/1.03 cnf(cls_class__semiring_Osemiring__rules_I15_J_0,axiom, % 0.91/1.03 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.91/1.03 | 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) ) ). % 0.91/1.03 % 0.91/1.03 cnf(cls_divide__eq__eq_0,axiom, % 0.91/1.03 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.91/1.03 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.03 | V_b = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_c,T_a) % 0.91/1.03 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.91/1.03 % 0.91/1.03 cnf(cls_eq__divide__eq_0,axiom, % 0.91/1.03 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.91/1.03 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.03 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_c,T_a) = V_b % 0.91/1.03 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.91/1.03 % 0.91/1.03 cnf(cls_zero__le__one_0,axiom, % 0.91/1.03 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.91/1.03 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oone__class_Oone(T_a),T_a) ) ). % 0.91/1.03 % 0.91/1.03 cnf(cls_class__semiring_Osemiring__rules_I2_J_0,axiom, % 0.91/1.03 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.91/1.03 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_m,T_a),V_m,T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oone__class_Oone(T_a),T_a),V_m,T_a) ) ). % 0.91/1.03 % 0.91/1.03 cnf(cls_class__semiring_Osemiring__rules_I3_J_0,axiom, % 0.91/1.03 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.91/1.03 | c_HOL_Oplus__class_Oplus(V_m,c_HOL_Otimes__class_Otimes(V_a,V_m,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oone__class_Oone(T_a),T_a),V_m,T_a) ) ). % 0.91/1.03 % 0.91/1.03 cnf(cls_diff__diff__right_0,axiom, % 0.91/1.03 ( c_HOL_Ominus__class_Ominus(V_i,c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_i,V_k,tc_nat),V_j,tc_nat) % 0.91/1.03 | ~ c_lessequals(V_k,V_j,tc_nat) ) ). % 0.91/1.03 % 0.91/1.03 cnf(cls_inverse__less__1__iff_1,axiom, % 0.91/1.03 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.03 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.03 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_x,T_a),c_HOL_Oone__class_Oone(T_a),T_a) % 0.91/1.03 | ~ c_lessequals(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.91/1.03 % 0.91/1.03 cnf(cls_less__imp__diff__less_0,axiom, % 0.91/1.03 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_j,V_n,tc_nat),V_k,tc_nat) % 0.91/1.03 | ~ c_HOL_Oord__class_Oless(V_j,V_k,tc_nat) ) ). % 0.91/1.03 % 0.91/1.03 cnf(cls_nat_Osize_I4_J_0,axiom, % 0.91/1.03 c_Nat_Osize__class_Osize(c_Suc(V_nat),tc_nat) = c_HOL_Oplus__class_Oplus(c_Nat_Osize__class_Osize(V_nat,tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ). % 0.91/1.03 % 0.91/1.03 cnf(cls_divide__le__0__1__iff_0,axiom, % 0.91/1.03 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.03 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.03 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.03 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.91/1.03 % 0.91/1.03 cnf(cls_divide__le__0__1__iff_1,axiom, % 0.91/1.03 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.03 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.03 | c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.03 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.91/1.03 % 0.91/1.03 cnf(cls_one__le__inverse__iff_1,axiom, % 0.91/1.03 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.03 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.03 | c_lessequals(V_x,c_HOL_Oone__class_Oone(T_a),T_a) % 0.91/1.03 | ~ c_lessequals(c_HOL_Oone__class_Oone(T_a),c_HOL_Oinverse__class_Oinverse(V_x,T_a),T_a) ) ). % 0.91/1.03 % 0.91/1.03 cnf(cls_one__is__add_4,axiom, % 0.91/1.03 c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Oplus__class_Oplus(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ). % 0.91/1.03 % 0.91/1.03 cnf(cls_less__le__not__le_2,axiom, % 0.91/1.03 ( ~ class_Orderings_Opreorder(T_a) % 0.91/1.03 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.91/1.03 | c_lessequals(V_y,V_x,T_a) % 0.91/1.03 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.91/1.03 % 0.91/1.03 cnf(cls_nat__less__le_1,axiom, % 0.91/1.03 ~ c_HOL_Oord__class_Oless(V_x,V_x,tc_nat) ). % 0.91/1.03 % 0.91/1.03 cnf(cls_less__not__refl_0,axiom, % 0.91/1.03 ~ c_HOL_Oord__class_Oless(V_n,V_n,tc_nat) ). % 0.91/1.03 % 0.91/1.03 cnf(cls_order__less__le_1,axiom, % 0.91/1.03 ( ~ class_Orderings_Oorder(T_a) % 0.91/1.03 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ). % 0.91/1.03 % 0.91/1.03 cnf(cls_linorder__neq__iff_1,axiom, % 0.91/1.03 ( ~ class_Orderings_Olinorder(T_a) % 0.91/1.03 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ). % 0.91/1.03 % 0.91/1.03 cnf(cls_order__less__irrefl_0,axiom, % 0.91/1.03 ( ~ class_Orderings_Opreorder(T_a) % 0.91/1.03 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ). % 0.91/1.03 % 0.91/1.03 cnf(cls_le__imp__diff__is__add_1,axiom, % 0.91/1.03 ( ~ c_lessequals(V_i,c_HOL_Oplus__class_Oplus(V_k,V_i,tc_nat),tc_nat) % 0.91/1.03 | c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_k,V_i,tc_nat),V_i,tc_nat) = V_k ) ). % 0.91/1.03 % 0.91/1.03 cnf(cls_min__max_Oinf__idem_0,axiom, % 0.91/1.03 ( ~ class_Orderings_Olinorder(T_a) % 0.91/1.03 | c_Orderings_Oord__class_Omin(V_x,V_x,T_a) = V_x ) ). % 0.91/1.03 % 0.91/1.03 cnf(cls_eq__divide__imp_0,axiom, % 0.91/1.03 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.91/1.03 | V_c = c_HOL_Ozero__class_Ozero(T_a) % 0.91/1.03 | V_a = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_c,T_a) ) ). % 0.91/1.03 % 0.91/1.03 cnf(cls_one__is__add_0,axiom, % 0.91/1.03 ( c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) != c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat) % 0.91/1.03 | V_m = c_HOL_Ozero__class_Ozero(tc_nat) % 0.91/1.03 | V_m = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ). % 0.91/1.03 % 0.91/1.03 cnf(cls_mult__less__cancel2_0,axiom, % 0.91/1.03 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) % 0.91/1.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_m,V_k,tc_nat),c_HOL_Otimes__class_Otimes(V_n,V_k,tc_nat),tc_nat) ) ). % 0.91/1.03 % 0.91/1.03 cnf(cls_mult__less__cancel1_0,axiom, % 0.91/1.03 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) % 0.91/1.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat),tc_nat) ) ). % 0.91/1.03 % 0.91/1.03 cnf(cls_of__nat__Suc_0,axiom, % 0.91/1.03 ( ~ class_Ring__and__Field_Osemiring__1(T_a) % 0.91/1.03 | c_Nat_Osemiring__1__class_Oof__nat(c_Suc(V_m),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(T_a),c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a),T_a) ) ). % 0.91/1.03 % 0.91/1.03 cnf(cls_inverse__le__1__iff_0,axiom, % 0.91/1.03 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.03 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.03 | c_lessequals(c_HOL_Oone__class_Oone(T_a),V_x,T_a) % 0.91/1.03 | c_lessequals(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.03 | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(V_x,T_a),c_HOL_Oone__class_Oone(T_a),T_a) ) ). % 0.91/1.03 % 0.91/1.03 cnf(cls_add__Suc__shift_0,axiom, % 0.91/1.03 c_HOL_Oplus__class_Oplus(c_Suc(V_m),V_n,tc_nat) = c_HOL_Oplus__class_Oplus(V_m,c_Suc(V_n),tc_nat) ). % 0.91/1.03 % 0.91/1.03 cnf(cls_mult__le__cancel2_0,axiom, % 0.91/1.03 ( c_lessequals(V_m,V_n,tc_nat) % 0.91/1.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) % 0.91/1.03 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_m,V_k,tc_nat),c_HOL_Otimes__class_Otimes(V_n,V_k,tc_nat),tc_nat) ) ). % 0.91/1.03 % 0.91/1.03 cnf(cls_mult__le__cancel1_0,axiom, % 0.91/1.03 ( c_lessequals(V_m,V_n,tc_nat) % 0.91/1.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) % 0.91/1.03 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat),tc_nat) ) ). % 0.91/1.03 % 0.91/1.03 cnf(cls_nat__mult__le__cancel1_0,axiom, % 0.91/1.03 ( c_lessequals(V_m,V_n,tc_nat) % 0.91/1.03 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat),tc_nat) % 0.91/1.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) ) ). % 0.91/1.03 % 0.91/1.03 cnf(cls_nat__mult__le__cancel1_1,axiom, % 0.91/1.03 ( c_lessequals(c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat),tc_nat) % 0.91/1.03 | ~ c_lessequals(V_m,V_n,tc_nat) % 0.91/1.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) ) ). % 0.91/1.03 % 0.91/1.03 cnf(cls_mult__le__cancel__left__neg_0,axiom, % 0.91/1.03 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.91/1.03 | c_lessequals(V_b,V_a,T_a) % 0.91/1.03 | ~ 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) % 0.91/1.03 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.91/1.03 % 0.91/1.03 cnf(cls_mult__le__cancel__left__neg_1,axiom, % 0.91/1.03 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.91/1.03 | 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) % 0.91/1.03 | ~ c_lessequals(V_b,V_a,T_a) % 0.91/1.03 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.91/1.03 % 0.91/1.03 cnf(cls_mult__le__cancel__left__pos_0,axiom, % 0.91/1.03 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.91/1.03 | c_lessequals(V_a,V_b,T_a) % 0.91/1.03 | ~ 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) % 0.91/1.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 0.91/1.03 % 0.91/1.03 cnf(cls_mult__le__cancel__left__pos_1,axiom, % 0.91/1.03 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.91/1.03 | 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) % 0.91/1.03 | ~ c_lessequals(V_a,V_b,T_a) % 0.91/1.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 0.91/1.03 % 0.91/1.03 cnf(cls_mult__left__le__imp__le_0,axiom, % 0.91/1.03 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.91/1.03 | c_lessequals(V_a,V_b,T_a) % 0.91/1.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.91/1.03 | ~ 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) ) ). % 0.91/1.03 % 0.91/1.03 cnf(cls_mult__right__le__imp__le_0,axiom, % 0.91/1.03 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.91/1.03 | c_lessequals(V_a,V_b,T_a) % 0.91/1.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.91/1.03 | ~ 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) ) ). % 0.91/1.03 % 0.91/1.03 cnf(cls_one__less__mult_0,axiom, % 0.91/1.03 ( c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat),tc_nat) % 0.91/1.03 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_m,tc_nat) % 0.91/1.03 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_n,tc_nat) ) ). % 0.91/1.03 % 0.91/1.03 cnf(cls_le__divide__eq_7,axiom, % 0.91/1.03 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.03 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.03 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 0.91/1.03 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.03 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.03 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) ) ). % 0.91/1.03 % 0.91/1.03 cnf(cls_le__divide__eq_5,axiom, % 0.91/1.03 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.03 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.03 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 0.91/1.03 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.03 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) % 0.91/1.03 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 0.91/1.03 % 0.91/1.03 cnf(cls_divide__le__eq_7,axiom, % 0.91/1.03 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.03 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.03 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) % 0.91/1.03 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.91/1.03 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.03 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) ) ). % 0.91/1.03 % 0.91/1.03 cnf(cls_divide__le__eq_5,axiom, % 0.91/1.03 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.03 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.03 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) % 0.91/1.03 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.91/1.03 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) % 0.91/1.03 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 0.91/1.03 % 0.91/1.03 cnf(cls_minus__divide__divide_0,axiom, % 0.91/1.03 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.91/1.03 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.03 | 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) ) ). % 0.91/1.03 % 0.91/1.03 cnf(cls_diff__cancel2_0,axiom, % 0.91/1.03 c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_m,V_k,tc_nat),c_HOL_Oplus__class_Oplus(V_n,V_k,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat) ). % 0.91/1.03 % 0.91/1.03 cnf(cls_diff__cancel_0,axiom, % 0.91/1.03 c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_k,V_m,tc_nat),c_HOL_Oplus__class_Oplus(V_k,V_n,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat) ). % 0.91/1.03 % 0.91/1.03 cnf(cls_zero__less__Suc_0,axiom, % 0.91/1.03 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(V_n),tc_nat) ). % 0.91/1.03 % 0.91/1.03 cnf(cls_gr0__conv__Suc_1,axiom, % 0.91/1.03 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(V_x),tc_nat) ). % 0.91/1.03 % 0.91/1.03 cnf(cls_dB_Osize_I5_J_0,axiom, % 0.91/1.03 c_Nat_Osize__class_Osize(c_Lambda_OdB_OApp(V_dB1,V_dB2),tc_Lambda_OdB) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_Nat_Osize__class_Osize(V_dB1,tc_Lambda_OdB),c_Nat_Osize__class_Osize(V_dB2,tc_Lambda_OdB),tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ). % 0.91/1.03 % 0.91/1.03 cnf(cls_one__le__inverse__iff_0,axiom, % 0.91/1.03 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.03 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.03 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) % 0.91/1.03 | ~ c_lessequals(c_HOL_Oone__class_Oone(T_a),c_HOL_Oinverse__class_Oinverse(V_x,T_a),T_a) ) ). % 0.91/1.03 % 0.91/1.03 cnf(cls_min__max_Oless__supI1_0,axiom, % 0.91/1.03 ( ~ class_Orderings_Olinorder(T_a) % 0.91/1.03 | c_HOL_Oord__class_Oless(V_x,c_Orderings_Oord__class_Omax(V_a,V_b,T_a),T_a) % 0.91/1.03 | ~ c_HOL_Oord__class_Oless(V_x,V_a,T_a) ) ). % 0.91/1.03 % 0.91/1.03 cnf(cls_min__max_Oless__supI2_0,axiom, % 0.91/1.03 ( ~ class_Orderings_Olinorder(T_a) % 0.91/1.03 | c_HOL_Oord__class_Oless(V_x,c_Orderings_Oord__class_Omax(V_a,V_b,T_a),T_a) % 0.91/1.03 | ~ c_HOL_Oord__class_Oless(V_x,V_b,T_a) ) ). % 0.91/1.03 % 0.91/1.03 cnf(cls_less__max__iff__disj_1,axiom, % 0.91/1.03 ( ~ class_Orderings_Olinorder(T_a) % 0.91/1.03 | c_HOL_Oord__class_Oless(V_z,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) % 0.91/1.03 | ~ c_HOL_Oord__class_Oless(V_z,V_x,T_a) ) ). % 0.91/1.03 % 0.91/1.03 cnf(cls_less__max__iff__disj_2,axiom, % 0.91/1.03 ( ~ class_Orderings_Olinorder(T_a) % 0.91/1.03 | c_HOL_Oord__class_Oless(V_z,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) % 0.91/1.03 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a) ) ). % 0.91/1.03 % 0.91/1.04 cnf(cls_max__less__iff__conj_0,axiom, % 0.91/1.04 ( ~ class_Orderings_Olinorder(T_a) % 0.91/1.04 | c_HOL_Oord__class_Oless(V_x,V_z,T_a) % 0.91/1.04 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_max__less__iff__conj_1,axiom, % 0.91/1.04 ( ~ class_Orderings_Olinorder(T_a) % 0.91/1.04 | c_HOL_Oord__class_Oless(V_y,V_z,T_a) % 0.91/1.04 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_min__max_Oinf__commute_0,axiom, % 0.91/1.04 ( ~ class_Orderings_Olinorder(T_a) % 0.91/1.04 | c_Orderings_Oord__class_Omin(V_x,V_y,T_a) = c_Orderings_Oord__class_Omin(V_y,V_x,T_a) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_one__less__power_0,axiom, % 0.91/1.04 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.91/1.04 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a) % 0.91/1.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) % 0.91/1.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_a,T_a) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_left__add__mult__distrib_0,axiom, % 0.91/1.04 c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_i,V_u,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_j,V_u,tc_nat),V_k,tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_i,V_j,tc_nat),V_u,tc_nat),V_k,tc_nat) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_combine__common__factor_0,axiom, % 0.91/1.04 ( ~ class_Ring__and__Field_Osemiring(T_a) % 0.91/1.04 | 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) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_diff__le__self_0,axiom, % 0.91/1.04 c_lessequals(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),V_m,tc_nat) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_left__minus_0,axiom, % 0.91/1.04 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.91/1.04 | 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) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_right__minus_0,axiom, % 0.91/1.04 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.91/1.04 | 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) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_ab__left__minus_0,axiom, % 0.91/1.04 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.91/1.04 | 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) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_eq__neg__iff__add__eq__0_0,axiom, % 0.91/1.04 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.91/1.04 | 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) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_nat__0__less__mult__iff_1,axiom, % 0.91/1.04 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) % 0.91/1.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat),tc_nat) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_nat__0__less__mult__iff_0,axiom, % 0.91/1.04 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat) % 0.91/1.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat),tc_nat) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_add__neg__neg_0,axiom, % 0.91/1.04 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 0.91/1.04 | 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) % 0.91/1.04 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.04 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_power__strict__mono_0,axiom, % 0.91/1.04 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.91/1.04 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(V_a,V_n,T_a),c_Power_Opower__class_Opower(V_b,V_n,T_a),T_a) % 0.91/1.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) % 0.91/1.04 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.91/1.04 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_sum__squares__le__zero__iff_0,axiom, % 0.91/1.04 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.91/1.04 | V_x = c_HOL_Ozero__class_Ozero(T_a) % 0.91/1.04 | ~ 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) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_sum__squares__le__zero__iff_1,axiom, % 0.91/1.04 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.91/1.04 | V_y = c_HOL_Ozero__class_Ozero(T_a) % 0.91/1.04 | ~ 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) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_diff__mult__distrib2_0,axiom, % 0.91/1.04 c_HOL_Otimes__class_Otimes(V_k,c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat),tc_nat) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_diff__mult__distrib_0,axiom, % 0.91/1.04 c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),V_k,tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(V_m,V_k,tc_nat),c_HOL_Otimes__class_Otimes(V_n,V_k,tc_nat),tc_nat) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_power__diff_0,axiom, % 0.91/1.04 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.91/1.04 | c_Power_Opower__class_Opower(V_a,c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),T_a) = c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(V_a,V_m,T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a) % 0.91/1.04 | ~ c_lessequals(V_n,V_m,tc_nat) % 0.91/1.04 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_min__max_Oless__infI1_0,axiom, % 0.91/1.04 ( ~ class_Orderings_Olinorder(T_a) % 0.91/1.04 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(V_a,V_b,T_a),V_x,T_a) % 0.91/1.04 | ~ c_HOL_Oord__class_Oless(V_a,V_x,T_a) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_min__max_Oless__infI2_0,axiom, % 0.91/1.04 ( ~ class_Orderings_Olinorder(T_a) % 0.91/1.04 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(V_a,V_b,T_a),V_x,T_a) % 0.91/1.04 | ~ c_HOL_Oord__class_Oless(V_b,V_x,T_a) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_min__less__iff__conj_0,axiom, % 0.91/1.04 ( ~ class_Orderings_Olinorder(T_a) % 0.91/1.04 | c_HOL_Oord__class_Oless(V_z,V_x,T_a) % 0.91/1.04 | ~ c_HOL_Oord__class_Oless(V_z,c_Orderings_Oord__class_Omin(V_x,V_y,T_a),T_a) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_min__less__iff__conj_1,axiom, % 0.91/1.04 ( ~ class_Orderings_Olinorder(T_a) % 0.91/1.04 | c_HOL_Oord__class_Oless(V_z,V_y,T_a) % 0.91/1.04 | ~ c_HOL_Oord__class_Oless(V_z,c_Orderings_Oord__class_Omin(V_x,V_y,T_a),T_a) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_min__less__iff__disj_1,axiom, % 0.91/1.04 ( ~ class_Orderings_Olinorder(T_a) % 0.91/1.04 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a) % 0.91/1.04 | ~ c_HOL_Oord__class_Oless(V_x,V_z,T_a) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_min__less__iff__disj_2,axiom, % 0.91/1.04 ( ~ class_Orderings_Olinorder(T_a) % 0.91/1.04 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a) % 0.91/1.04 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_Nat_Odiff__diff__eq_0,axiom, % 0.91/1.04 ( c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_m,V_k,tc_nat),c_HOL_Ominus__class_Ominus(V_n,V_k,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat) % 0.91/1.04 | ~ c_lessequals(V_k,V_n,tc_nat) % 0.91/1.04 | ~ c_lessequals(V_k,V_m,tc_nat) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_diff__commute_0,axiom, % 0.91/1.04 c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_i,V_j,tc_nat),V_k,tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_i,V_k,tc_nat),V_j,tc_nat) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_inverse__nonpositive__iff__nonpositive_0,axiom, % 0.91/1.04 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.04 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.04 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.04 | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_inverse__nonpositive__iff__nonpositive_1,axiom, % 0.91/1.04 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.04 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.04 | c_lessequals(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.04 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_add__nonneg__pos_0,axiom, % 0.91/1.04 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 0.91/1.04 | 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) % 0.91/1.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.91/1.04 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_add__pos__nonneg_0,axiom, % 0.91/1.04 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 0.91/1.04 | 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) % 0.91/1.04 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.91/1.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_inverse__mult__distrib_0,axiom, % 0.91/1.04 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.91/1.04 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.04 | c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_nonzero__inverse__mult__distrib_0,axiom, % 0.91/1.04 ( ~ class_Ring__and__Field_Odivision__ring(T_a) % 0.91/1.04 | c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(V_b,T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) % 0.91/1.04 | V_b = c_HOL_Ozero__class_Ozero(T_a) % 0.91/1.04 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_diff__less__mono_0,axiom, % 0.91/1.04 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_a,V_c,tc_nat),c_HOL_Ominus__class_Ominus(V_b,V_c,tc_nat),tc_nat) % 0.91/1.04 | ~ c_lessequals(V_c,V_a,tc_nat) % 0.91/1.04 | ~ c_HOL_Oord__class_Oless(V_a,V_b,tc_nat) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_mult__le__0__iff_4,axiom, % 0.91/1.04 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.91/1.04 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.04 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.04 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_mult__le__0__iff_5,axiom, % 0.91/1.04 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.91/1.04 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.04 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.91/1.04 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_split__mult__neg__le_0,axiom, % 0.91/1.04 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a) % 0.91/1.04 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.04 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.04 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_split__mult__neg__le_1,axiom, % 0.91/1.04 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a) % 0.91/1.04 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.04 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.91/1.04 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_mult__nonneg__nonpos_0,axiom, % 0.91/1.04 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a) % 0.91/1.04 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.04 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.04 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_mult__nonpos__nonneg_0,axiom, % 0.91/1.04 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a) % 0.91/1.04 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.04 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.91/1.04 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_mult__nonneg__nonpos2_0,axiom, % 0.91/1.04 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a) % 0.91/1.04 | c_lessequals(c_HOL_Otimes__class_Otimes(V_b,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.04 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.04 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_not__square__less__zero_0,axiom, % 0.91/1.04 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.91/1.04 | ~ 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) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_Suc__mult__less__cancel1_1,axiom, % 0.91/1.04 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Suc(V_k),V_m,tc_nat),c_HOL_Otimes__class_Otimes(c_Suc(V_k),V_n,tc_nat),tc_nat) % 0.91/1.04 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_Suc__mult__less__cancel1_0,axiom, % 0.91/1.04 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) % 0.91/1.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Suc(V_k),V_m,tc_nat),c_HOL_Otimes__class_Otimes(c_Suc(V_k),V_n,tc_nat),tc_nat) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_Suc__lessI_0,axiom, % 0.91/1.04 ( c_HOL_Oord__class_Oless(c_Suc(V_m),V_n,tc_nat) % 0.91/1.04 | c_Suc(V_m) = V_n % 0.91/1.04 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_not__less__eq__eq_1,axiom, % 0.91/1.04 ( ~ c_lessequals(V_m,V_n,tc_nat) % 0.91/1.04 | ~ c_lessequals(c_Suc(V_n),V_m,tc_nat) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_not__less__eq__eq_0,axiom, % 0.91/1.04 ( c_lessequals(c_Suc(V_n),V_m,tc_nat) % 0.91/1.04 | c_lessequals(V_m,V_n,tc_nat) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_natgb_Oadd__cancel_0,axiom, % 0.91/1.04 ( c_HOL_Oplus__class_Oplus(V_x,V_y,tc_nat) != c_HOL_Oplus__class_Oplus(V_x,V_z,tc_nat) % 0.91/1.04 | V_y = V_z ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_nat__add__right__cancel_0,axiom, % 0.91/1.04 ( c_HOL_Oplus__class_Oplus(V_m,V_k,tc_nat) != c_HOL_Oplus__class_Oplus(V_n,V_k,tc_nat) % 0.91/1.04 | V_m = V_n ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_nat__add__left__cancel_0,axiom, % 0.91/1.04 ( c_HOL_Oplus__class_Oplus(V_k,V_m,tc_nat) != c_HOL_Oplus__class_Oplus(V_k,V_n,tc_nat) % 0.91/1.04 | V_m = V_n ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_class__ringb_Oadd__cancel_0,axiom, % 0.91/1.04 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.91/1.04 | ~ class_Int_Onumber__ring(T_a) % 0.91/1.04 | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) != c_HOL_Oplus__class_Oplus(V_x,V_z,T_a) % 0.91/1.04 | V_y = V_z ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_add__imp__eq_0,axiom, % 0.91/1.04 ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(T_a) % 0.91/1.04 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) != c_HOL_Oplus__class_Oplus(V_a,V_c,T_a) % 0.91/1.04 | V_b = V_c ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_add__left__cancel_0,axiom, % 0.91/1.04 ( ~ class_OrderedGroup_Ocancel__semigroup__add(T_a) % 0.91/1.04 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) != c_HOL_Oplus__class_Oplus(V_a,V_c,T_a) % 0.91/1.04 | V_b = V_c ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_add__right__cancel_0,axiom, % 0.91/1.04 ( ~ class_OrderedGroup_Ocancel__semigroup__add(T_a) % 0.91/1.04 | c_HOL_Oplus__class_Oplus(V_b,V_a,T_a) != c_HOL_Oplus__class_Oplus(V_c,V_a,T_a) % 0.91/1.04 | V_b = V_c ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_inverse__eq__1__iff_0,axiom, % 0.91/1.04 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.91/1.04 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.04 | c_HOL_Oinverse__class_Oinverse(V_x,T_a) != c_HOL_Oone__class_Oone(T_a) % 0.91/1.04 | V_x = c_HOL_Oone__class_Oone(T_a) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_inverse__less__1__iff_0,axiom, % 0.91/1.04 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.04 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.04 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_x,T_a) % 0.91/1.04 | c_lessequals(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_x,T_a),c_HOL_Oone__class_Oone(T_a),T_a) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_divide__1_0,axiom, % 0.91/1.04 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.91/1.04 | c_HOL_Oinverse__class_Odivide(V_a,c_HOL_Oone__class_Oone(T_a),T_a) = V_a ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_min__add__distrib__left_0,axiom, % 0.91/1.04 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.91/1.04 | 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) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_le__add__diff_0,axiom, % 0.91/1.04 ( c_lessequals(V_m,c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_n,V_m,tc_nat),V_k,tc_nat),tc_nat) % 0.91/1.04 | ~ c_lessequals(V_k,V_n,tc_nat) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_mult__right__le__one__le_0,axiom, % 0.91/1.04 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.91/1.04 | c_lessequals(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),V_x,T_a) % 0.91/1.04 | ~ c_lessequals(V_y,c_HOL_Oone__class_Oone(T_a),T_a) % 0.91/1.04 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) % 0.91/1.04 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_mult__left__le__one__le_0,axiom, % 0.91/1.04 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.91/1.04 | c_lessequals(c_HOL_Otimes__class_Otimes(V_y,V_x,T_a),V_x,T_a) % 0.91/1.04 | ~ c_lessequals(V_y,c_HOL_Oone__class_Oone(T_a),T_a) % 0.91/1.04 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) % 0.91/1.04 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_divide__nonpos__neg_0,axiom, % 0.91/1.04 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.04 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),T_a) % 0.91/1.04 | ~ c_HOL_Oord__class_Oless(V_y,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.04 | ~ c_lessequals(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_divide__nonneg__pos_0,axiom, % 0.91/1.04 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.04 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),T_a) % 0.91/1.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) % 0.91/1.04 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_dvd__power__same_0,axiom, % 0.91/1.04 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.91/1.04 | c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(V_x,V_n,T_a),c_Power_Opower__class_Opower(V_y,V_n,T_a),T_a) % 0.91/1.04 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,T_a) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_divide__strict__right__mono_0,axiom, % 0.91/1.04 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.04 | 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) % 0.91/1.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.91/1.04 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_divide__strict__right__mono__neg_0,axiom, % 0.91/1.04 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.04 | 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) % 0.91/1.04 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.04 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_inverse__positive__iff__positive_0,axiom, % 0.91/1.04 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.04 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.04 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.91/1.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_divide__eq__imp_0,axiom, % 0.91/1.04 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.91/1.04 | V_c = c_HOL_Ozero__class_Ozero(T_a) % 0.91/1.04 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_c,T_a) = V_a ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_divide__eq__eq_3,axiom, % 0.91/1.04 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.91/1.04 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.04 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_c,T_a) = V_a % 0.91/1.04 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_eq__divide__eq_3,axiom, % 0.91/1.04 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.91/1.04 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.04 | V_a = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_c,T_a) % 0.91/1.04 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_liftn_Osimps_I1_J_1,axiom, % 0.91/1.04 ( c_Lambda_Oliftn(V_n,c_Lambda_OdB_OVar(V_i),V_k) = c_Lambda_OdB_OVar(c_HOL_Oplus__class_Oplus(V_i,V_n,tc_nat)) % 0.91/1.04 | c_HOL_Oord__class_Oless(V_i,V_k,tc_nat) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_add__pos__pos_0,axiom, % 0.91/1.04 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 0.91/1.04 | 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) % 0.91/1.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.91/1.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_le__add1_0,axiom, % 0.91/1.04 c_lessequals(V_n,c_HOL_Oplus__class_Oplus(V_n,V_m,tc_nat),tc_nat) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_le__add2_0,axiom, % 0.91/1.04 c_lessequals(V_n,c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat),tc_nat) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_le__iff__add_1,axiom, % 0.91/1.04 c_lessequals(V_m,c_HOL_Oplus__class_Oplus(V_m,V_x,tc_nat),tc_nat) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_nat__minus__add__max_0,axiom, % 0.91/1.04 c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_n,V_m,tc_nat),V_m,tc_nat) = c_Orderings_Oord__class_Omax(V_n,V_m,tc_nat) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_compl__eq__compl__iff_0,axiom, % 0.91/1.04 ( ~ class_Lattices_Oboolean__algebra(T_a) % 0.91/1.04 | c_HOL_Ouminus__class_Ouminus(V_x,T_a) != c_HOL_Ouminus__class_Ouminus(V_y,T_a) % 0.91/1.04 | V_x = V_y ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_neg__equal__iff__equal_0,axiom, % 0.91/1.04 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.91/1.04 | c_HOL_Ouminus__class_Ouminus(V_a,T_a) != c_HOL_Ouminus__class_Ouminus(V_b,T_a) % 0.91/1.04 | V_a = V_b ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_power__divide_0,axiom, % 0.91/1.04 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.91/1.04 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.04 | c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),V_n,T_a) = c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(V_a,V_n,T_a),c_Power_Opower__class_Opower(V_b,V_n,T_a),T_a) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_not__one__le__zero_0,axiom, % 0.91/1.04 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.91/1.04 | ~ c_lessequals(c_HOL_Oone__class_Oone(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_negative__imp__inverse__negative_0,axiom, % 0.91/1.04 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.04 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.04 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_inverse__negative__iff__negative_1,axiom, % 0.91/1.04 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.04 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.04 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.04 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_inverse__negative__iff__negative_0,axiom, % 0.91/1.04 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.04 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.04 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_power__gt1__lemma_0,axiom, % 0.91/1.04 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.91/1.04 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),c_HOL_Otimes__class_Otimes(V_a,c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a),T_a) % 0.91/1.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_a,T_a) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_linorder__neqE__ordered__idom_0,axiom, % 0.91/1.04 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.91/1.04 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 0.91/1.04 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.91/1.04 | V_x = V_y ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_not__less__iff__gr__or__eq_0,axiom, % 0.91/1.04 ( ~ class_Orderings_Olinorder(T_a) % 0.91/1.04 | V_x = V_y % 0.91/1.04 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 0.91/1.04 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_le__antisym_0,axiom, % 0.91/1.04 ( V_m = V_n % 0.91/1.04 | ~ c_lessequals(V_n,V_m,tc_nat) % 0.91/1.04 | ~ c_lessequals(V_m,V_n,tc_nat) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_nat__neq__iff_0,axiom, % 0.91/1.04 ( c_HOL_Oord__class_Oless(V_n,V_m,tc_nat) % 0.91/1.04 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) % 0.91/1.04 | V_m = V_n ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_linorder__neqE__nat_0,axiom, % 0.91/1.04 ( c_HOL_Oord__class_Oless(V_y,V_x,tc_nat) % 0.91/1.04 | c_HOL_Oord__class_Oless(V_x,V_y,tc_nat) % 0.91/1.04 | V_x = V_y ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_order__eq__iff_2,axiom, % 0.91/1.04 ( ~ class_Orderings_Oorder(T_a) % 0.91/1.04 | V_x = V_y % 0.91/1.04 | ~ c_lessequals(V_y,V_x,T_a) % 0.91/1.04 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_linorder__neqE_0,axiom, % 0.91/1.04 ( ~ class_Orderings_Olinorder(T_a) % 0.91/1.04 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 0.91/1.04 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.91/1.04 | V_x = V_y ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_order__antisym_0,axiom, % 0.91/1.04 ( ~ class_Orderings_Oorder(T_a) % 0.91/1.04 | V_x = V_y % 0.91/1.04 | ~ c_lessequals(V_y,V_x,T_a) % 0.91/1.04 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_order__antisym__conv_0,axiom, % 0.91/1.04 ( ~ class_Orderings_Oorder(T_a) % 0.91/1.04 | V_x = V_y % 0.91/1.04 | ~ c_lessequals(V_x,V_y,T_a) % 0.91/1.04 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_linorder__less__linear_0,axiom, % 0.91/1.04 ( ~ class_Orderings_Olinorder(T_a) % 0.91/1.04 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 0.91/1.04 | V_x = V_y % 0.91/1.04 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_linorder__antisym__conv3_0,axiom, % 0.91/1.04 ( ~ class_Orderings_Olinorder(T_a) % 0.91/1.04 | V_x = V_y % 0.91/1.04 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.91/1.04 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_le__iff__diff__le__0_1,axiom, % 0.91/1.04 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.91/1.04 | c_lessequals(V_a,V_b,T_a) % 0.91/1.04 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_le__iff__diff__le__0_0,axiom, % 0.91/1.04 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.91/1.04 | c_lessequals(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.04 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_min__max_Osup__idem_0,axiom, % 0.91/1.04 ( ~ class_Orderings_Olinorder(T_a) % 0.91/1.04 | c_Orderings_Oord__class_Omax(V_x,V_x,T_a) = V_x ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_add__strict__mono_0,axiom, % 0.91/1.04 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a) % 0.91/1.04 | 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) % 0.91/1.04 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a) % 0.91/1.04 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_add__less__mono_0,axiom, % 0.91/1.04 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_i,V_k,tc_nat),c_HOL_Oplus__class_Oplus(V_j,V_l,tc_nat),tc_nat) % 0.91/1.04 | ~ c_HOL_Oord__class_Oless(V_k,V_l,tc_nat) % 0.91/1.04 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_termination__basic__simps_I5_J_0,axiom, % 0.91/1.04 ( c_lessequals(V_x,V_y,tc_nat) % 0.91/1.04 | ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_nat) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_nat__less__le_0,axiom, % 0.91/1.04 ( c_lessequals(V_m,V_n,tc_nat) % 0.91/1.04 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_order__le__less_1,axiom, % 0.91/1.04 ( ~ class_Orderings_Oorder(T_a) % 0.91/1.04 | c_lessequals(V_x,V_y,T_a) % 0.91/1.04 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_order__less__imp__le_0,axiom, % 0.91/1.04 ( ~ class_Orderings_Opreorder(T_a) % 0.91/1.04 | c_lessequals(V_x,V_y,T_a) % 0.91/1.04 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_minus__add__cancel_0,axiom, % 0.91/1.04 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.91/1.04 | 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 ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_add__cancel__end_1,axiom, % 0.91/1.04 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.91/1.04 | 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 ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_inverse__1_0,axiom, % 0.91/1.04 ( ~ class_Ring__and__Field_Odivision__ring(T_a) % 0.91/1.04 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(T_a),T_a) = c_HOL_Oone__class_Oone(T_a) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_inverse__eq__1__iff_1,axiom, % 0.91/1.04 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.91/1.04 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.04 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(T_a),T_a) = c_HOL_Oone__class_Oone(T_a) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_one__less__inverse__iff_2,axiom, % 0.91/1.04 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.04 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.04 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),c_HOL_Oinverse__class_Oinverse(V_x,T_a),T_a) % 0.91/1.04 | ~ c_HOL_Oord__class_Oless(V_x,c_HOL_Oone__class_Oone(T_a),T_a) % 0.91/1.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_dvd__trans_0,axiom, % 0.91/1.04 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.91/1.04 | c_Ring__and__Field_Odvd__class_Odvd(V_a,V_c,T_a) % 0.91/1.04 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_b,V_c,T_a) % 0.91/1.04 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_dvd__refl_0,axiom, % 0.91/1.04 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.91/1.04 | c_Ring__and__Field_Odvd__class_Odvd(V_a,V_a,T_a) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_zero__le__divide__iff_4,axiom, % 0.91/1.04 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.04 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.04 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) % 0.91/1.04 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.91/1.04 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_zero__le__divide__iff_5,axiom, % 0.91/1.04 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.04 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.04 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) % 0.91/1.04 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.04 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_frac__le_0,axiom, % 0.91/1.04 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.04 | 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) % 0.91/1.04 | ~ c_lessequals(V_w,V_z,T_a) % 0.91/1.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_w,T_a) % 0.91/1.04 | ~ c_lessequals(V_x,V_y,T_a) % 0.91/1.04 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_power__gt1_0,axiom, % 0.91/1.04 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.91/1.04 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),c_Power_Opower__class_Opower(V_a,c_Suc(V_n),T_a),T_a) % 0.91/1.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_a,T_a) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_diff__Suc__diff__eq1_0,axiom, % 0.91/1.04 ( c_HOL_Ominus__class_Ominus(V_m,c_Suc(c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat)),tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_m,V_k,tc_nat),c_Suc(V_j),tc_nat) % 0.91/1.04 | ~ c_lessequals(V_k,V_j,tc_nat) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_less__iff__diff__less__0_1,axiom, % 0.91/1.04 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.91/1.04 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.91/1.04 | ~ 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) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_less__iff__diff__less__0_0,axiom, % 0.91/1.04 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.91/1.04 | 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) % 0.91/1.04 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_of__nat__less__iff_1,axiom, % 0.91/1.04 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.91/1.04 | c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a),T_a) % 0.91/1.04 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_of__nat__less__iff_0,axiom, % 0.91/1.04 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.91/1.04 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) % 0.91/1.04 | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a),T_a) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_dvd__mult__cancel__right_1,axiom, % 0.91/1.04 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.91/1.04 | 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) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_dvd__mult__cancel__left_1,axiom, % 0.91/1.04 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.91/1.04 | 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) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_lessI_0,axiom, % 0.91/1.04 c_HOL_Oord__class_Oless(V_n,c_Suc(V_n),tc_nat) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_less__Suc__eq_2,axiom, % 0.91/1.04 c_HOL_Oord__class_Oless(V_x,c_Suc(V_x),tc_nat) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_less__trans__Suc_0,axiom, % 0.91/1.04 ( c_HOL_Oord__class_Oless(c_Suc(V_i),V_k,tc_nat) % 0.91/1.04 | ~ c_HOL_Oord__class_Oless(V_j,V_k,tc_nat) % 0.91/1.04 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_add__le__cancel__right_1,axiom, % 0.91/1.04 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.91/1.04 | 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) % 0.91/1.04 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_add__le__cancel__right_0,axiom, % 0.91/1.04 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.91/1.04 | c_lessequals(V_a,V_b,T_a) % 0.91/1.04 | ~ 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) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_add__le__cancel__left_1,axiom, % 0.91/1.04 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.91/1.04 | 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) % 0.91/1.04 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_add__le__cancel__left_0,axiom, % 0.91/1.04 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.91/1.04 | c_lessequals(V_a,V_b,T_a) % 0.91/1.04 | ~ 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) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_add__right__mono_0,axiom, % 0.91/1.04 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a) % 0.91/1.04 | 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) % 0.91/1.04 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_add__left__mono_0,axiom, % 0.91/1.04 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a) % 0.91/1.04 | 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) % 0.91/1.04 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_add__le__mono1_0,axiom, % 0.91/1.04 ( c_lessequals(c_HOL_Oplus__class_Oplus(V_i,V_k,tc_nat),c_HOL_Oplus__class_Oplus(V_j,V_k,tc_nat),tc_nat) % 0.91/1.04 | ~ c_lessequals(V_i,V_j,tc_nat) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_nat__add__left__cancel__le_0,axiom, % 0.91/1.04 ( c_lessequals(V_m,V_n,tc_nat) % 0.91/1.04 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(V_k,V_m,tc_nat),c_HOL_Oplus__class_Oplus(V_k,V_n,tc_nat),tc_nat) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_nat__add__left__cancel__le_1,axiom, % 0.91/1.04 ( c_lessequals(c_HOL_Oplus__class_Oplus(V_k,V_m,tc_nat),c_HOL_Oplus__class_Oplus(V_k,V_n,tc_nat),tc_nat) % 0.91/1.04 | ~ c_lessequals(V_m,V_n,tc_nat) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_zero__less__one_0,axiom, % 0.91/1.04 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.91/1.04 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oone__class_Oone(T_a),T_a) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_mult__frac__frac_0,axiom, % 0.91/1.04 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.91/1.04 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.04 | 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) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_minus__mult__right_0,axiom, % 0.91/1.04 ( ~ class_Ring__and__Field_Oring(T_a) % 0.91/1.04 | 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) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_minus__mult__left_0,axiom, % 0.91/1.04 ( ~ class_Ring__and__Field_Oring(T_a) % 0.91/1.04 | 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) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_le__imp__diff__is__add_0,axiom, % 0.91/1.04 ( ~ c_lessequals(V_i,V_j,tc_nat) % 0.91/1.04 | V_j = c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_j,V_i,tc_nat),V_i,tc_nat) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_le__add__diff__inverse_0,axiom, % 0.91/1.04 ( c_HOL_Oplus__class_Oplus(V_n,c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),tc_nat) = V_m % 0.91/1.04 | ~ c_lessequals(V_n,V_m,tc_nat) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_le__add__diff__inverse2_0,axiom, % 0.91/1.04 ( c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),V_n,tc_nat) = V_m % 0.91/1.04 | ~ c_lessequals(V_n,V_m,tc_nat) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_mult__less__cancel1_1,axiom, % 0.91/1.04 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) % 0.91/1.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat),tc_nat) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_mult__less__cancel2_1,axiom, % 0.91/1.04 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) % 0.91/1.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_m,V_k,tc_nat),c_HOL_Otimes__class_Otimes(V_n,V_k,tc_nat),tc_nat) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_le__eq__neg_1,axiom, % 0.91/1.04 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.91/1.04 | c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) % 0.91/1.04 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_le__eq__neg_0,axiom, % 0.91/1.04 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.91/1.04 | c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.04 | ~ c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_divide__strict__left__mono__neg_0,axiom, % 0.91/1.04 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.04 | 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) % 0.91/1.04 | ~ 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) % 0.91/1.04 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.04 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_divide__strict__left__mono_0,axiom, % 0.91/1.04 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.04 | 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) % 0.91/1.04 | ~ 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) % 0.91/1.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.91/1.04 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_less__add__one_0,axiom, % 0.91/1.04 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.91/1.04 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oone__class_Oone(T_a),T_a),T_a) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_add__diff__assoc_0,axiom, % 0.91/1.04 ( c_HOL_Oplus__class_Oplus(V_i,c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_i,V_j,tc_nat),V_k,tc_nat) % 0.91/1.04 | ~ c_lessequals(V_k,V_j,tc_nat) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_add__diff__assoc2_0,axiom, % 0.91/1.04 ( c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),V_i,tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_j,V_i,tc_nat),V_k,tc_nat) % 0.91/1.04 | ~ c_lessequals(V_k,V_j,tc_nat) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_drop__drop_0,axiom, % 0.91/1.04 c_List_Odrop(V_n,c_List_Odrop(V_m,V_xs,T_a),T_a) = c_List_Odrop(c_HOL_Oplus__class_Oplus(V_n,V_m,tc_nat),V_xs,T_a) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_power__le__imp__le__base_0,axiom, % 0.91/1.04 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.91/1.04 | c_lessequals(V_a,V_b,T_a) % 0.91/1.04 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.91/1.04 | ~ c_lessequals(c_Power_Opower__class_Opower(V_a,c_Suc(V_n),T_a),c_Power_Opower__class_Opower(V_b,c_Suc(V_n),T_a),T_a) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_mult__left__idem_0,axiom, % 0.91/1.04 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(T_a) % 0.91/1.04 | 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) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_one__less__inverse__iff_0,axiom, % 0.91/1.04 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.04 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.04 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) % 0.91/1.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),c_HOL_Oinverse__class_Oinverse(V_x,T_a),T_a) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_neg__le__0__iff__le_1,axiom, % 0.91/1.04 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.91/1.04 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.04 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_neg__le__0__iff__le_0,axiom, % 0.91/1.04 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.91/1.04 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.91/1.04 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_of__nat__0__less__iff_1,axiom, % 0.91/1.04 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.91/1.04 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a),T_a) % 0.91/1.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_of__nat__0__less__iff_0,axiom, % 0.91/1.04 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.91/1.04 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) % 0.91/1.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a),T_a) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_mult__less__le__imp__less_0,axiom, % 0.91/1.04 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.91/1.04 | 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) % 0.91/1.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.91/1.04 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.91/1.04 | ~ c_lessequals(V_c,V_d,T_a) % 0.91/1.04 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_mult__le__less__imp__less_0,axiom, % 0.91/1.04 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.91/1.04 | 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) % 0.91/1.04 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.91/1.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.91/1.04 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a) % 0.91/1.04 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_one__dvd_0,axiom, % 0.91/1.04 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.91/1.04 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(T_a),V_a,T_a) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_power__inject__exp_0,axiom, % 0.91/1.04 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.91/1.04 | c_Power_Opower__class_Opower(V_a,V_m,T_a) != c_Power_Opower__class_Opower(V_a,V_n,T_a) % 0.91/1.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_a,T_a) % 0.91/1.04 | V_m = V_n ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_power__0_0,axiom, % 0.91/1.04 ( ~ class_Power_Opower(T_a) % 0.91/1.04 | c_Power_Opower__class_Opower(V_a,c_HOL_Ozero__class_Ozero(tc_nat),T_a) = c_HOL_Oone__class_Oone(T_a) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_class__semiring_Opwr__0_0,axiom, % 0.91/1.04 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.91/1.04 | c_Power_Opower__class_Opower(V_x,c_HOL_Ozero__class_Ozero(tc_nat),T_a) = c_HOL_Oone__class_Oone(T_a) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_sgn__1__neg_0,axiom, % 0.91/1.04 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.91/1.04 | c_HOL_Osgn__class_Osgn(V_a,T_a) != c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(T_a),T_a) % 0.91/1.04 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_sgn__neg_0,axiom, % 0.91/1.04 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.91/1.04 | c_HOL_Osgn__class_Osgn(V_a,T_a) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(T_a),T_a) % 0.91/1.04 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_class__semiring_Osemiring__rules_I27_J_0,axiom, % 0.91/1.04 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.91/1.04 | c_HOL_Otimes__class_Otimes(V_x,c_Power_Opower__class_Opower(V_x,V_q,T_a),T_a) = c_Power_Opower__class_Opower(V_x,c_Suc(V_q),T_a) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_inverse__positive__iff__positive_1,axiom, % 0.91/1.04 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.04 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.04 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) % 0.91/1.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_positive__imp__inverse__positive_0,axiom, % 0.91/1.04 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.04 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) % 0.91/1.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_add__is__1_3,axiom, % 0.91/1.04 ( c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) % 0.91/1.04 | V_n = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) % 0.91/1.04 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_add__is__1_0,axiom, % 0.91/1.04 ( c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) % 0.91/1.04 | V_m = c_HOL_Ozero__class_Ozero(tc_nat) % 0.91/1.04 | V_m = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_sgn__less_0,axiom, % 0.91/1.04 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.91/1.04 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Osgn__class_Osgn(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_sgn__less_1,axiom, % 0.91/1.04 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.91/1.04 | c_HOL_Oord__class_Oless(c_HOL_Osgn__class_Osgn(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.04 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_Suc__diff__diff_0,axiom, % 0.91/1.04 c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(c_Suc(V_m),V_n,tc_nat),c_Suc(V_k),tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),V_k,tc_nat) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_dvd__minus__iff_0,axiom, % 0.91/1.04 ( ~ class_Ring__and__Field_Ocomm__ring__1(T_a) % 0.91/1.04 | c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,T_a) % 0.91/1.04 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,c_HOL_Ouminus__class_Ouminus(V_y,T_a),T_a) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_dvd__minus__iff_1,axiom, % 0.91/1.04 ( ~ class_Ring__and__Field_Ocomm__ring__1(T_a) % 0.91/1.04 | c_Ring__and__Field_Odvd__class_Odvd(V_x,c_HOL_Ouminus__class_Ouminus(V_y,T_a),T_a) % 0.91/1.04 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,T_a) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_minus__dvd__iff_0,axiom, % 0.91/1.04 ( ~ class_Ring__and__Field_Ocomm__ring__1(T_a) % 0.91/1.04 | c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,T_a) % 0.91/1.04 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(V_x,T_a),V_y,T_a) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_minus__dvd__iff_1,axiom, % 0.91/1.04 ( ~ class_Ring__and__Field_Ocomm__ring__1(T_a) % 0.91/1.04 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(V_x,T_a),V_y,T_a) % 0.91/1.04 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,T_a) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_nonzero__minus__divide__divide_0,axiom, % 0.91/1.04 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.91/1.04 | 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) % 0.91/1.04 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_class__ring_Osub__add_0,axiom, % 0.91/1.04 ( ~ class_Int_Onumber__ring(T_a) % 0.91/1.04 | 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) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_diff__def_0,axiom, % 0.91/1.04 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.91/1.04 | 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) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_diff__minus_0,axiom, % 0.91/1.04 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.91/1.04 | 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) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_ab__diff__minus_0,axiom, % 0.91/1.04 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.91/1.04 | 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) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_Suc__mult__le__cancel1_1,axiom, % 0.91/1.04 ( c_lessequals(c_HOL_Otimes__class_Otimes(c_Suc(V_k),V_m,tc_nat),c_HOL_Otimes__class_Otimes(c_Suc(V_k),V_n,tc_nat),tc_nat) % 0.91/1.04 | ~ c_lessequals(V_m,V_n,tc_nat) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_Suc__mult__le__cancel1_0,axiom, % 0.91/1.04 ( c_lessequals(V_m,V_n,tc_nat) % 0.91/1.04 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Suc(V_k),V_m,tc_nat),c_HOL_Otimes__class_Otimes(c_Suc(V_k),V_n,tc_nat),tc_nat) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_sum__squares__gt__zero__iff_1,axiom, % 0.91/1.04 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.91/1.04 | 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) % 0.91/1.04 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_sum__squares__gt__zero__iff_2,axiom, % 0.91/1.04 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.91/1.04 | 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) % 0.91/1.04 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_class__semiring_Osemiring__rules_I20_J_0,axiom, % 0.91/1.04 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.91/1.04 | 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) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_add__num__frac_0,axiom, % 0.91/1.04 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.91/1.04 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.04 | 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) % 0.91/1.04 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_add__frac__num_0,axiom, % 0.91/1.04 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.91/1.04 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.04 | 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) % 0.91/1.04 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_dB_Osize_I6_J_0,axiom, % 0.91/1.04 c_Nat_Osize__class_Osize(c_Lambda_OdB_OAbs(V_dB),tc_Lambda_OdB) = c_HOL_Oplus__class_Oplus(c_Nat_Osize__class_Osize(V_dB,tc_Lambda_OdB),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_of__nat__less__0__iff_0,axiom, % 0.91/1.04 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.91/1.04 | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_divide__less__0__iff_3,axiom, % 0.91/1.04 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.04 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.04 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.91/1.04 | c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.04 | ~ 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) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_divide__less__0__iff_2,axiom, % 0.91/1.04 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.04 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.04 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.04 | c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.04 | ~ 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) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_divide__less__0__iff_1,axiom, % 0.91/1.04 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.04 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.04 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.91/1.04 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.91/1.04 | ~ 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) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_divide__less__0__iff_0,axiom, % 0.91/1.04 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.04 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.04 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.04 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.91/1.04 | ~ 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) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_less__half__sum_0,axiom, % 0.91/1.04 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.04 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(T_a),c_HOL_Oone__class_Oone(T_a),T_a),T_a),T_a) % 0.91/1.04 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_gt__half__sum_0,axiom, % 0.91/1.04 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.04 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(T_a),c_HOL_Oone__class_Oone(T_a),T_a),T_a),V_b,T_a) % 0.91/1.04 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_group__add__class_Odiff__0_0,axiom, % 0.91/1.04 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.91/1.04 | 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) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_min__max_Osup__commute_0,axiom, % 0.91/1.04 ( ~ class_Orderings_Olinorder(T_a) % 0.91/1.04 | c_Orderings_Oord__class_Omax(V_x,V_y,T_a) = c_Orderings_Oord__class_Omax(V_y,V_x,T_a) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_power__eq__imp__eq__base_0,axiom, % 0.91/1.04 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.91/1.04 | c_Power_Opower__class_Opower(V_a,V_n,T_a) != c_Power_Opower__class_Opower(V_b,V_n,T_a) % 0.91/1.04 | V_a = V_b % 0.91/1.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) % 0.91/1.04 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.91/1.04 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_add__cancel__end_0,axiom, % 0.91/1.04 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.91/1.04 | c_HOL_Oplus__class_Oplus(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a) != V_y % 0.91/1.04 | V_x = c_HOL_Ouminus__class_Ouminus(V_z,T_a) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_liftn_Osimps_I1_J_0,axiom, % 0.91/1.04 ( c_Lambda_Oliftn(V_n,c_Lambda_OdB_OVar(V_i),V_k) = c_Lambda_OdB_OVar(V_i) % 0.91/1.04 | ~ c_HOL_Oord__class_Oless(V_i,V_k,tc_nat) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_mult__divide__mult__cancel__left_0,axiom, % 0.91/1.04 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.91/1.04 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.04 | 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) % 0.91/1.04 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_mult__divide__mult__cancel__right_0,axiom, % 0.91/1.04 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.91/1.04 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.04 | 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) % 0.91/1.04 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_division__ring__inverse__add_0,axiom, % 0.91/1.04 ( ~ class_Ring__and__Field_Odivision__ring(T_a) % 0.91/1.04 | c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a),c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a) % 0.91/1.04 | V_b = c_HOL_Ozero__class_Ozero(T_a) % 0.91/1.04 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_inverse__add_0,axiom, % 0.91/1.04 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.91/1.04 | c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a),c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a) % 0.91/1.04 | V_b = c_HOL_Ozero__class_Ozero(T_a) % 0.91/1.04 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_dvd__add_0,axiom, % 0.91/1.04 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.91/1.04 | c_Ring__and__Field_Odvd__class_Odvd(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) % 0.91/1.04 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_c,T_a) % 0.91/1.04 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_le__Suc__eq_2,axiom, % 0.91/1.04 c_lessequals(c_Suc(V_n),c_Suc(V_n),tc_nat) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_one__less__inverse__iff_1,axiom, % 0.91/1.04 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.04 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.04 | c_HOL_Oord__class_Oless(V_x,c_HOL_Oone__class_Oone(T_a),T_a) % 0.91/1.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),c_HOL_Oinverse__class_Oinverse(V_x,T_a),T_a) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_drop__replicate_0,axiom, % 0.91/1.04 c_List_Odrop(V_i,c_List_Oreplicate(V_k,V_x,T_a),T_a) = c_List_Oreplicate(c_HOL_Ominus__class_Ominus(V_k,V_i,tc_nat),V_x,T_a) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_min__max_Odistrib__inf__le_0,axiom, % 0.91/1.04 ( ~ class_Orderings_Olinorder(T_a) % 0.91/1.04 | 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) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_divide__pos__pos_0,axiom, % 0.91/1.04 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.04 | 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) % 0.91/1.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) % 0.91/1.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_divide__neg__neg_0,axiom, % 0.91/1.04 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.04 | 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) % 0.91/1.04 | ~ c_HOL_Oord__class_Oless(V_y,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.04 | ~ c_HOL_Oord__class_Oless(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_zero__less__divide__iff_4,axiom, % 0.91/1.04 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.04 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.04 | 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) % 0.91/1.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.91/1.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_zero__less__divide__iff_5,axiom, % 0.91/1.04 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.04 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.04 | 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) % 0.91/1.04 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.04 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_nat_Osize_I2_J_0,axiom, % 0.91/1.04 c_nat_Onat__size(c_Suc(V_nat)) = c_HOL_Oplus__class_Oplus(c_nat_Onat__size(V_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_min__max_Osup__inf__absorb_0,axiom, % 0.91/1.04 ( ~ class_Orderings_Olinorder(T_a) % 0.91/1.04 | c_Orderings_Oord__class_Omax(V_x,c_Orderings_Oord__class_Omin(V_x,V_y,T_a),T_a) = V_x ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_le__square_0,axiom, % 0.91/1.04 c_lessequals(V_m,c_HOL_Otimes__class_Otimes(V_m,V_m,tc_nat),tc_nat) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_mult__less__cancel__left__disj_0,axiom, % 0.91/1.04 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.91/1.04 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.04 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.91/1.04 | ~ 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) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_mult__less__cancel__left__disj_3,axiom, % 0.91/1.04 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.91/1.04 | c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 0.91/1.04 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.91/1.04 | ~ 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) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_mult__less__cancel__right__disj_0,axiom, % 0.91/1.04 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.91/1.04 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.04 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.91/1.04 | ~ 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) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_mult__less__cancel__right__disj_3,axiom, % 0.91/1.04 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.91/1.04 | c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 0.91/1.04 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.91/1.04 | ~ 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) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_mult__frac__num_0,axiom, % 0.91/1.04 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.91/1.04 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.04 | 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) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_diff__diff__cancel_0,axiom, % 0.91/1.04 ( c_HOL_Ominus__class_Ominus(V_n,c_HOL_Ominus__class_Ominus(V_n,V_i,tc_nat),tc_nat) = V_i % 0.91/1.04 | ~ c_lessequals(V_i,V_n,tc_nat) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_lift_Osimps_I1_J_0,axiom, % 0.91/1.04 ( c_Lambda_Olift(c_Lambda_OdB_OVar(V_i),V_k) = c_Lambda_OdB_OVar(V_i) % 0.91/1.04 | ~ c_HOL_Oord__class_Oless(V_i,V_k,tc_nat) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_lift__preserves__beta_0,axiom, % 0.91/1.04 ( c_Lambda_Obeta(c_Lambda_Olift(V_r,V_i),c_Lambda_Olift(V_s,V_i)) % 0.91/1.04 | ~ c_Lambda_Obeta(V_r,V_s) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_power__Suc__less_0,axiom, % 0.91/1.04 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.91/1.04 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a) % 0.91/1.04 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Oone__class_Oone(T_a),T_a) % 0.91/1.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_min__Suc__Suc_0,axiom, % 0.91/1.04 c_Orderings_Oord__class_Omin(c_Suc(V_m),c_Suc(V_n),tc_nat) = c_Suc(c_Orderings_Oord__class_Omin(V_m,V_n,tc_nat)) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_substn_Osimps_I1_J_1,axiom, % 0.91/1.04 ( c_HOL_Oord__class_Oless(V_x,V_x,tc_nat) % 0.91/1.04 | c_Lambda_Osubstn(c_Lambda_OdB_OVar(V_x),V_s,V_x) = c_Lambda_Oliftn(V_x,V_s,c_HOL_Ozero__class_Ozero(tc_nat)) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_le__SucE_0,axiom, % 0.91/1.04 ( V_m = c_Suc(V_n) % 0.91/1.04 | c_lessequals(V_m,V_n,tc_nat) % 0.91/1.04 | ~ c_lessequals(V_m,c_Suc(V_n),tc_nat) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_not__less__less__Suc__eq_1,axiom, % 0.91/1.04 ( c_HOL_Oord__class_Oless(V_x,V_x,tc_nat) % 0.91/1.04 | c_HOL_Oord__class_Oless(V_x,c_Suc(V_x),tc_nat) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_not__less__eq_1,axiom, % 0.91/1.04 ( ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) % 0.91/1.04 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_not__less__eq_0,axiom, % 0.91/1.04 ( c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat) % 0.91/1.04 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_mult__less__cancel2_2,axiom, % 0.91/1.04 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_m,V_k,tc_nat),c_HOL_Otimes__class_Otimes(V_n,V_k,tc_nat),tc_nat) % 0.91/1.04 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) % 0.91/1.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_mult__less__cancel1_2,axiom, % 0.91/1.04 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat),tc_nat) % 0.91/1.04 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) % 0.91/1.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_mult__less__mono2_0,axiom, % 0.91/1.04 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_k,V_i,tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_j,tc_nat),tc_nat) % 0.91/1.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) % 0.91/1.04 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_mult__less__mono1_0,axiom, % 0.91/1.04 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_i,V_k,tc_nat),c_HOL_Otimes__class_Otimes(V_j,V_k,tc_nat),tc_nat) % 0.91/1.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) % 0.91/1.04 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_nat__mult__less__cancel1_0,axiom, % 0.91/1.04 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) % 0.91/1.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat),tc_nat) % 0.91/1.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_nat__mult__less__cancel1_1,axiom, % 0.91/1.04 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat),tc_nat) % 0.91/1.04 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) % 0.91/1.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_mult__less__cancel__left__neg_0,axiom, % 0.91/1.04 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.91/1.04 | c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 0.91/1.04 | ~ 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) % 0.91/1.04 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_mult__less__cancel__left__neg_1,axiom, % 0.91/1.04 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.91/1.04 | 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) % 0.91/1.04 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 0.91/1.04 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_mult__less__cancel__left__pos_0,axiom, % 0.91/1.04 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.91/1.04 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.91/1.04 | ~ 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) % 0.91/1.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_mult__less__cancel__left__pos_1,axiom, % 0.91/1.04 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.91/1.04 | 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) % 0.91/1.04 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.91/1.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_mult__strict__left__mono__neg_0,axiom, % 0.91/1.04 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.91/1.04 | 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) % 0.91/1.04 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.04 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_mult__strict__left__mono_0,axiom, % 0.91/1.04 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.91/1.04 | 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) % 0.91/1.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.91/1.04 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_mult__less__cancel__left__disj_4,axiom, % 0.91/1.04 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.91/1.04 | 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) % 0.91/1.04 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.91/1.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 0.91/1.04 % 0.91/1.04 cnf(cls_mult__less__cancel__left__disj_5,axiom, % 0.91/1.04 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.91/1.05 | 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) % 0.91/1.05 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 0.91/1.05 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_mult__strict__right__mono__neg_0,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.91/1.05 | 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) % 0.91/1.05 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.05 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_mult__strict__right__mono_0,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.91/1.05 | 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) % 0.91/1.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.91/1.05 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_mult__less__cancel__right__disj_4,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.91/1.05 | 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) % 0.91/1.05 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.91/1.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_mult__less__cancel__right__disj_5,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.91/1.05 | 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) % 0.91/1.05 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 0.91/1.05 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_mult__strict__left__mono__comm_0,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(T_a) % 0.91/1.05 | 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) % 0.91/1.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.91/1.05 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_less__divide__eq_9,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.05 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.05 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 0.91/1.05 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.05 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) % 0.91/1.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_less__divide__eq_8,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.05 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.05 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 0.91/1.05 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.05 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) % 0.91/1.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_less__divide__eq_3,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.05 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.05 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 0.91/1.05 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.05 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.05 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_less__divide__eq_2,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.05 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.05 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.05 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.05 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.91/1.05 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_divide__less__eq_9,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.05 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.05 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) % 0.91/1.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.91/1.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) % 0.91/1.05 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_divide__less__eq_8,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.05 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.05 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) % 0.91/1.05 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) % 0.91/1.05 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_divide__less__eq_3,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.05 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.05 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) % 0.91/1.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.91/1.05 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.05 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_divide__less__eq_2,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.05 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.05 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.91/1.05 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.05 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.91/1.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_max__add__distrib__left_0,axiom, % 0.91/1.05 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.91/1.05 | 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) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_sgn__sgn_0,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.91/1.05 | c_HOL_Osgn__class_Osgn(c_HOL_Osgn__class_Osgn(V_a,T_a),T_a) = c_HOL_Osgn__class_Osgn(V_a,T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_power__inject__base_0,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.91/1.05 | c_Power_Opower__class_Opower(V_a,c_Suc(V_n),T_a) != c_Power_Opower__class_Opower(V_b,c_Suc(V_n),T_a) % 0.91/1.05 | V_a = V_b % 0.91/1.05 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.91/1.05 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_mult__le__mono_0,axiom, % 0.91/1.05 ( c_lessequals(c_HOL_Otimes__class_Otimes(V_i,V_k,tc_nat),c_HOL_Otimes__class_Otimes(V_j,V_l,tc_nat),tc_nat) % 0.91/1.05 | ~ c_lessequals(V_k,V_l,tc_nat) % 0.91/1.05 | ~ c_lessequals(V_i,V_j,tc_nat) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_le__cube_0,axiom, % 0.91/1.05 c_lessequals(V_m,c_HOL_Otimes__class_Otimes(V_m,c_HOL_Otimes__class_Otimes(V_m,V_m,tc_nat),tc_nat),tc_nat) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_mult__mono_0,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Opordered__semiring(T_a) % 0.91/1.05 | 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) % 0.91/1.05 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.91/1.05 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.91/1.05 | ~ c_lessequals(V_c,V_d,T_a) % 0.91/1.05 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_class__semiring_Osemiring__rules_I28_J_0,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.91/1.05 | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_x,V_q,T_a),V_x,T_a) = c_Power_Opower__class_Opower(V_x,c_Suc(V_q),T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_minus__mult__commute_0,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Oring(T_a) % 0.91/1.05 | 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) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_dvd__power__le_0,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.91/1.05 | c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(V_x,V_n,T_a),c_Power_Opower__class_Opower(V_y,V_m,T_a),T_a) % 0.91/1.05 | ~ c_lessequals(V_n,V_m,tc_nat) % 0.91/1.05 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_mult__le__0__iff_3,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.91/1.05 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.91/1.05 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.05 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_mult__le__0__iff_2,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.91/1.05 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.05 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.05 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_mult__le__0__iff_1,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.91/1.05 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.91/1.05 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.91/1.05 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_mult__le__0__iff_0,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.91/1.05 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.05 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.91/1.05 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_mult__pos__neg2_0,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.91/1.05 | 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) % 0.91/1.05 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_mult__pos__neg_0,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.91/1.05 | 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) % 0.91/1.05 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_mult__neg__pos_0,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.91/1.05 | 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) % 0.91/1.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.91/1.05 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_Suc__leD_0,axiom, % 0.91/1.05 ( c_lessequals(V_m,V_n,tc_nat) % 0.91/1.05 | ~ c_lessequals(c_Suc(V_m),V_n,tc_nat) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_le__SucI_0,axiom, % 0.91/1.05 ( c_lessequals(V_m,c_Suc(V_n),tc_nat) % 0.91/1.05 | ~ c_lessequals(V_m,V_n,tc_nat) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_n__less__m__mult__n_0,axiom, % 0.91/1.05 ( c_HOL_Oord__class_Oless(V_n,c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat),tc_nat) % 0.91/1.05 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_m,tc_nat) % 0.91/1.05 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_n,tc_nat) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_n__less__n__mult__m_0,axiom, % 0.91/1.05 ( c_HOL_Oord__class_Oless(V_n,c_HOL_Otimes__class_Otimes(V_n,V_m,tc_nat),tc_nat) % 0.91/1.05 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_m,tc_nat) % 0.91/1.05 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_n,tc_nat) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_add__minus__cancel_0,axiom, % 0.91/1.05 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.91/1.05 | 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 ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_class__fieldgb_Odivide__inverse_0,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.91/1.05 | ~ class_Int_Onumber__ring(T_a) % 0.91/1.05 | c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a) = c_HOL_Otimes__class_Otimes(V_x,c_HOL_Oinverse__class_Oinverse(V_y,T_a),T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_divide__inverse_0,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.91/1.05 | c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a) = c_HOL_Otimes__class_Otimes(V_a,c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_Suc__n__not__le__n_0,axiom, % 0.91/1.05 ~ c_lessequals(c_Suc(V_n),V_n,tc_nat) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_dvd__mult__right_0,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.91/1.05 | c_Ring__and__Field_Odvd__class_Odvd(V_b,V_c,T_a) % 0.91/1.05 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_c,T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_dvd__mult__left_0,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.91/1.05 | c_Ring__and__Field_Odvd__class_Odvd(V_a,V_c,T_a) % 0.91/1.05 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_c,T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_dvd__mult2_0,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.91/1.05 | c_Ring__and__Field_Odvd__class_Odvd(V_a,c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) % 0.91/1.05 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_dvd__mult_0,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.91/1.05 | c_Ring__and__Field_Odvd__class_Odvd(V_a,c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) % 0.91/1.05 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_c,T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_less__diff__iff_0,axiom, % 0.91/1.05 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) % 0.91/1.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_m,V_k,tc_nat),c_HOL_Ominus__class_Ominus(V_n,V_k,tc_nat),tc_nat) % 0.91/1.05 | ~ c_lessequals(V_k,V_n,tc_nat) % 0.91/1.05 | ~ c_lessequals(V_k,V_m,tc_nat) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_less__diff__iff_1,axiom, % 0.91/1.05 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_m,V_k,tc_nat),c_HOL_Ominus__class_Ominus(V_n,V_k,tc_nat),tc_nat) % 0.91/1.05 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) % 0.91/1.05 | ~ c_lessequals(V_k,V_n,tc_nat) % 0.91/1.05 | ~ c_lessequals(V_k,V_m,tc_nat) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_pos__add__strict_0,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.91/1.05 | c_HOL_Oord__class_Oless(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a) % 0.91/1.05 | ~ c_HOL_Oord__class_Oless(V_b,V_c,T_a) % 0.91/1.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_zero__less__divide__1__iff_1,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.05 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.05 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),V_b,T_a),T_a) % 0.91/1.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_zero__less__divide__1__iff_0,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.05 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.05 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.91/1.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),V_b,T_a),T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_double__add__le__zero__iff__single__add__le__zero_1,axiom, % 0.91/1.05 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.91/1.05 | c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.05 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_double__add__le__zero__iff__single__add__le__zero_0,axiom, % 0.91/1.05 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.91/1.05 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.05 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_power__strict__increasing__iff_1,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.91/1.05 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(V_b,V_x,T_a),c_Power_Opower__class_Opower(V_b,V_y,T_a),T_a) % 0.91/1.05 | ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_nat) % 0.91/1.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_b,T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_power__strict__increasing__iff_0,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.91/1.05 | c_HOL_Oord__class_Oless(V_x,V_y,tc_nat) % 0.91/1.05 | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(V_b,V_x,T_a),c_Power_Opower__class_Opower(V_b,V_y,T_a),T_a) % 0.91/1.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_b,T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_power__strict__increasing_0,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.91/1.05 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(V_a,V_n,T_a),c_Power_Opower__class_Opower(V_a,V_N,T_a),T_a) % 0.91/1.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_a,T_a) % 0.91/1.05 | ~ c_HOL_Oord__class_Oless(V_n,V_N,tc_nat) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_power__less__imp__less__exp_0,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.91/1.05 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) % 0.91/1.05 | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(V_a,V_m,T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a) % 0.91/1.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_a,T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_not__add__less1_0,axiom, % 0.91/1.05 ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_i,V_j,tc_nat),V_i,tc_nat) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_not__add__less2_0,axiom, % 0.91/1.05 ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_j,V_i,tc_nat),V_i,tc_nat) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_nonzero__power__divide_0,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.91/1.05 | c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),V_n,T_a) = c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(V_a,V_n,T_a),c_Power_Opower__class_Opower(V_b,V_n,T_a),T_a) % 0.91/1.05 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_inverse__negative__imp__negative_0,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.05 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.05 | V_a = c_HOL_Ozero__class_Ozero(T_a) % 0.91/1.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_of__nat__diff_0,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Oring__1(T_a) % 0.91/1.05 | c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),T_a) = c_HOL_Ominus__class_Ominus(c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a),T_a) % 0.91/1.05 | ~ c_lessequals(V_n,V_m,tc_nat) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_power__less__power__Suc_0,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.91/1.05 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(V_a,V_n,T_a),c_HOL_Otimes__class_Otimes(V_a,c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a),T_a) % 0.91/1.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_a,T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_inverse__divide_0,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.91/1.05 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.05 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) = c_HOL_Oinverse__class_Odivide(V_b,V_a,T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_mult__dvd__mono_0,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.91/1.05 | 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) % 0.91/1.05 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_c,V_d,T_a) % 0.91/1.05 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_mult__right__mono__neg_0,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 0.91/1.05 | 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) % 0.91/1.05 | ~ c_lessequals(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.05 | ~ c_lessequals(V_b,V_a,T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_mult__left__mono__neg_0,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 0.91/1.05 | 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) % 0.91/1.05 | ~ c_lessequals(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.05 | ~ c_lessequals(V_b,V_a,T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_mult__right__mono_0,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Omult__mono(T_a) % 0.91/1.05 | 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) % 0.91/1.05 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.91/1.05 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_mult__left__mono_0,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Omult__mono(T_a) % 0.91/1.05 | 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) % 0.91/1.05 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.91/1.05 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_mult__mono1_0,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Omult__mono1(T_a) % 0.91/1.05 | 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) % 0.91/1.05 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.91/1.05 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_class__ringb_Oadd__scale__eq__noteq_0,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.91/1.05 | ~ class_Int_Onumber__ring(T_a) % 0.91/1.05 | 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) % 0.91/1.05 | V_c = V_d % 0.91/1.05 | V_r = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_natgb_Oadd__scale__eq__noteq_0,axiom, % 0.91/1.05 ( c_HOL_Oplus__class_Oplus(V_x,c_HOL_Otimes__class_Otimes(V_r,V_c,tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(V_x,c_HOL_Otimes__class_Otimes(V_r,V_d,tc_nat),tc_nat) % 0.91/1.05 | V_c = V_d % 0.91/1.05 | V_r = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_sum__squares__eq__zero__iff_1,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.91/1.05 | 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) % 0.91/1.05 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_sum__squares__eq__zero__iff_0,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.91/1.05 | 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) % 0.91/1.05 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_less__diff__conv_0,axiom, % 0.91/1.05 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_i,V_k,tc_nat),V_j,tc_nat) % 0.91/1.05 | ~ c_HOL_Oord__class_Oless(V_i,c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),tc_nat) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_less__diff__conv_1,axiom, % 0.91/1.05 ( c_HOL_Oord__class_Oless(V_i,c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),tc_nat) % 0.91/1.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_i,V_k,tc_nat),V_j,tc_nat) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_divide__le__eq_1,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.05 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.05 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) % 0.91/1.05 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.05 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.91/1.05 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_divide__le__eq_4,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.05 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.05 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) % 0.91/1.05 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.05 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) % 0.91/1.05 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_le__divide__eq_1,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.05 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.05 | c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) % 0.91/1.05 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.05 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.91/1.05 | ~ c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_le__divide__eq_4,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.05 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.05 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 0.91/1.05 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.05 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) % 0.91/1.05 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_Suc__n__not__n_0,axiom, % 0.91/1.05 c_Suc(V_n) != V_n ). % 0.91/1.05 % 0.91/1.05 cnf(cls_n__not__Suc__n_0,axiom, % 0.91/1.05 V_n != c_Suc(V_n) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_inverse__unique_0,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Odivision__ring(T_a) % 0.91/1.05 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) != c_HOL_Oone__class_Oone(T_a) % 0.91/1.05 | c_HOL_Oinverse__class_Oinverse(V_a,T_a) = V_b ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_mult__imp__less__div__pos_0,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.05 | c_HOL_Oord__class_Oless(V_z,c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),T_a) % 0.91/1.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_z,V_y,T_a),V_x,T_a) % 0.91/1.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_mult__imp__div__pos__less_0,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.05 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),V_z,T_a) % 0.91/1.05 | ~ c_HOL_Oord__class_Oless(V_x,c_HOL_Otimes__class_Otimes(V_z,V_y,T_a),T_a) % 0.91/1.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_divide__less__eq_0,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.05 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.05 | c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) % 0.91/1.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.91/1.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_divide__less__eq_6,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.05 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.05 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) % 0.91/1.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.91/1.05 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_less__divide__eq_0,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.05 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.05 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) % 0.91/1.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.91/1.05 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_less__divide__eq_6,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.05 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.05 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 0.91/1.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.91/1.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_divide__neg__pos_0,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.05 | 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) % 0.91/1.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) % 0.91/1.05 | ~ c_HOL_Oord__class_Oless(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_divide__pos__neg_0,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.05 | 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) % 0.91/1.05 | ~ c_HOL_Oord__class_Oless(V_y,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_divide__less__0__iff_4,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.05 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.05 | 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) % 0.91/1.05 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_divide__less__0__iff_5,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.05 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.05 | 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) % 0.91/1.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.91/1.05 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_dvd__power_0,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.91/1.05 | c_Ring__and__Field_Odvd__class_Odvd(V_x,c_Power_Opower__class_Opower(V_x,V_n,T_a),T_a) % 0.91/1.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_add__strict__right__mono_0,axiom, % 0.91/1.05 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a) % 0.91/1.05 | 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) % 0.91/1.05 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_add__less__cancel__right_1,axiom, % 0.91/1.05 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.91/1.05 | 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) % 0.91/1.05 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_add__less__cancel__right_0,axiom, % 0.91/1.05 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.91/1.05 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.91/1.05 | ~ 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) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_add__strict__left__mono_0,axiom, % 0.91/1.05 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a) % 0.91/1.05 | 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) % 0.91/1.05 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_add__less__cancel__left_1,axiom, % 0.91/1.05 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.91/1.05 | 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) % 0.91/1.05 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_add__less__cancel__left_0,axiom, % 0.91/1.05 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.91/1.05 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.91/1.05 | ~ 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) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_add__less__mono1_0,axiom, % 0.91/1.05 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_i,V_k,tc_nat),c_HOL_Oplus__class_Oplus(V_j,V_k,tc_nat),tc_nat) % 0.91/1.05 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_nat__add__left__cancel__less_0,axiom, % 0.91/1.05 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) % 0.91/1.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_k,V_m,tc_nat),c_HOL_Oplus__class_Oplus(V_k,V_n,tc_nat),tc_nat) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_nat__add__left__cancel__less_1,axiom, % 0.91/1.05 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_k,V_m,tc_nat),c_HOL_Oplus__class_Oplus(V_k,V_n,tc_nat),tc_nat) % 0.91/1.05 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_one__le__mult__iff_2,axiom, % 0.91/1.05 ( c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat),tc_nat) % 0.91/1.05 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_n,tc_nat) % 0.91/1.05 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_m,tc_nat) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_xt1_I6_J_0,axiom, % 0.91/1.05 ( ~ class_Orderings_Oorder(T_a) % 0.91/1.05 | c_lessequals(V_z,V_x,T_a) % 0.91/1.05 | ~ c_lessequals(V_z,V_y,T_a) % 0.91/1.05 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_xt1_I7_J_0,axiom, % 0.91/1.05 ( ~ class_Orderings_Oorder(T_a) % 0.91/1.05 | c_HOL_Oord__class_Oless(V_z,V_x,T_a) % 0.91/1.05 | ~ c_lessequals(V_z,V_y,T_a) % 0.91/1.05 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_xt1_I8_J_0,axiom, % 0.91/1.05 ( ~ class_Orderings_Oorder(T_a) % 0.91/1.05 | c_HOL_Oord__class_Oless(V_z,V_x,T_a) % 0.91/1.05 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a) % 0.91/1.05 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_add__nonpos__nonpos_0,axiom, % 0.91/1.05 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 0.91/1.05 | c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.05 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.05 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_power__le__dvd_0,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.91/1.05 | c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(V_a,V_m,T_a),V_b,T_a) % 0.91/1.05 | ~ c_lessequals(V_m,V_n,tc_nat) % 0.91/1.05 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(V_a,V_n,T_a),V_b,T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_order__trans_0,axiom, % 0.91/1.05 ( ~ class_Orderings_Opreorder(T_a) % 0.91/1.05 | c_lessequals(V_x,V_z,T_a) % 0.91/1.05 | ~ c_lessequals(V_y,V_z,T_a) % 0.91/1.05 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_le__refl_0,axiom, % 0.91/1.05 c_lessequals(V_n,V_n,tc_nat) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_le__trans_0,axiom, % 0.91/1.05 ( c_lessequals(V_i,V_k,tc_nat) % 0.91/1.05 | ~ c_lessequals(V_j,V_k,tc_nat) % 0.91/1.05 | ~ c_lessequals(V_i,V_j,tc_nat) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_eq__imp__le_0,axiom, % 0.91/1.05 c_lessequals(V_x,V_x,tc_nat) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_order__eq__iff_0,axiom, % 0.91/1.05 ( ~ class_Orderings_Oorder(T_a) % 0.91/1.05 | c_lessequals(V_x,V_x,T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_order__eq__refl_0,axiom, % 0.91/1.05 ( ~ class_Orderings_Opreorder(T_a) % 0.91/1.05 | c_lessequals(V_x,V_x,T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_order__le__less__trans_0,axiom, % 0.91/1.05 ( ~ class_Orderings_Opreorder(T_a) % 0.91/1.05 | c_HOL_Oord__class_Oless(V_x,V_z,T_a) % 0.91/1.05 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a) % 0.91/1.05 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_order__less__le__trans_0,axiom, % 0.91/1.05 ( ~ class_Orderings_Opreorder(T_a) % 0.91/1.05 | c_HOL_Oord__class_Oless(V_x,V_z,T_a) % 0.91/1.05 | ~ c_lessequals(V_y,V_z,T_a) % 0.91/1.05 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_le__add__right__mono_0,axiom, % 0.91/1.05 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.91/1.05 | c_lessequals(V_a,c_HOL_Oplus__class_Oplus(V_b,V_d,T_a),T_a) % 0.91/1.05 | ~ c_lessequals(V_c,V_d,T_a) % 0.91/1.05 | ~ c_lessequals(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_inverse__less__1__iff_2,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.05 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.05 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_x,T_a),c_HOL_Oone__class_Oone(T_a),T_a) % 0.91/1.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_x,T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_min__diff_0,axiom, % 0.91/1.05 c_Orderings_Oord__class_Omin(c_HOL_Ominus__class_Ominus(V_m,V_i,tc_nat),c_HOL_Ominus__class_Ominus(V_n,V_i,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(c_Orderings_Oord__class_Omin(V_m,V_n,tc_nat),V_i,tc_nat) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_add__is__1_5,axiom, % 0.91/1.05 c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_zero__less__divide__iff_3,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.05 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.05 | c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.05 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.91/1.05 | ~ 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) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_zero__less__divide__iff_2,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.05 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.05 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.05 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.91/1.05 | ~ 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) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_zero__less__divide__iff_1,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.05 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.05 | c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.05 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.91/1.05 | ~ 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) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_mult__mono_H_0,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Opordered__semiring(T_a) % 0.91/1.05 | 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) % 0.91/1.05 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.91/1.05 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.91/1.05 | ~ c_lessequals(V_c,V_d,T_a) % 0.91/1.05 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_field__inverse_0,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.91/1.05 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(V_a,T_a),V_a,T_a) = c_HOL_Oone__class_Oone(T_a) % 0.91/1.05 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_left__inverse_0,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Odivision__ring(T_a) % 0.91/1.05 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(V_a,T_a),V_a,T_a) = c_HOL_Oone__class_Oone(T_a) % 0.91/1.05 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_right__inverse_0,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Odivision__ring(T_a) % 0.91/1.05 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) = c_HOL_Oone__class_Oone(T_a) % 0.91/1.05 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_square__eq__iff_1,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.91/1.05 | 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) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_min__max_Osup__assoc_0,axiom, % 0.91/1.05 ( ~ class_Orderings_Olinorder(T_a) % 0.91/1.05 | 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) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_minus__mult__minus_0,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Oring(T_a) % 0.91/1.05 | 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) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_min__max_Osup__left__commute_0,axiom, % 0.91/1.05 ( ~ class_Orderings_Olinorder(T_a) % 0.91/1.05 | 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) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_diff__minus__eq__add_0,axiom, % 0.91/1.05 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.91/1.05 | 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) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_zero__less__two_0,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.91/1.05 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(T_a),c_HOL_Oone__class_Oone(T_a),T_a),T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_diff__frac__eq_0,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.91/1.05 | 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) % 0.91/1.05 | V_z = c_HOL_Ozero__class_Ozero(T_a) % 0.91/1.05 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_class__semiring_Osemiring__rules_I1_J_0,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.91/1.05 | 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) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_dvd__mult__cancel__left_0,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.91/1.05 | c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) % 0.91/1.05 | V_c = c_HOL_Ozero__class_Ozero(T_a) % 0.91/1.05 | ~ 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) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_dvd__mult__cancel__right_0,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.91/1.05 | c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) % 0.91/1.05 | V_c = c_HOL_Ozero__class_Ozero(T_a) % 0.91/1.05 | ~ 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) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_of__nat__0__le__iff_0,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.91/1.05 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a),T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_zero__le__imp__of__nat_0,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.91/1.05 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a),T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_nonzero__inverse__eq__divide_0,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.91/1.05 | c_HOL_Oinverse__class_Oinverse(V_a,T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),V_a,T_a) % 0.91/1.05 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_sum__squares__gt__zero__iff_0,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.91/1.05 | ~ 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) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_le__divide__eq_9,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.05 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.05 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 0.91/1.05 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.05 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) % 0.91/1.05 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_le__divide__eq_3,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.05 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.05 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 0.91/1.05 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.05 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.05 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_le__divide__eq_2,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.05 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.05 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.05 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.05 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.91/1.05 | ~ c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_divide__le__eq_9,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.05 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.05 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) % 0.91/1.05 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.91/1.05 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) % 0.91/1.05 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_divide__le__eq_3,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.05 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.05 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) % 0.91/1.05 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.91/1.05 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.05 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_divide__le__eq_2,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.05 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.05 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.91/1.05 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.05 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.91/1.05 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_abs_0,axiom, % 0.91/1.05 ( c_Lambda_Obeta(c_Lambda_OdB_OAbs(V_s),c_Lambda_OdB_OAbs(V_t)) % 0.91/1.05 | ~ c_Lambda_Obeta(V_s,V_t) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_min__max_Osup__left__idem_0,axiom, % 0.91/1.05 ( ~ class_Orderings_Olinorder(T_a) % 0.91/1.05 | 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) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_zero__le__mult__iff_0,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.91/1.05 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.05 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.91/1.05 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_zero__le__mult__iff_1,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.91/1.05 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.05 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.91/1.05 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_zero__le__mult__iff_2,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.91/1.05 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.05 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.91/1.05 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_zero__le__mult__iff_3,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.91/1.05 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.05 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.91/1.05 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_diff__add__inverse2_0,axiom, % 0.91/1.05 c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat),V_n,tc_nat) = V_m ). % 0.91/1.05 % 0.91/1.05 cnf(cls_diff__add__inverse_0,axiom, % 0.91/1.05 c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_n,V_m,tc_nat),V_n,tc_nat) = V_m ). % 0.91/1.05 % 0.91/1.05 cnf(cls_add__diff__cancel_0,axiom, % 0.91/1.05 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.91/1.05 | c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_b,T_a) = V_a ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_one__le__inverse__iff_2,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.05 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.05 | c_lessequals(c_HOL_Oone__class_Oone(T_a),c_HOL_Oinverse__class_Oinverse(V_x,T_a),T_a) % 0.91/1.05 | ~ c_lessequals(V_x,c_HOL_Oone__class_Oone(T_a),T_a) % 0.91/1.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_power__le__imp__le__exp_0,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.91/1.05 | c_lessequals(V_m,V_n,tc_nat) % 0.91/1.05 | ~ c_lessequals(c_Power_Opower__class_Opower(V_a,V_m,T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a) % 0.91/1.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_a,T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_power__increasing__iff_0,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.91/1.05 | c_lessequals(V_x,V_y,tc_nat) % 0.91/1.05 | ~ c_lessequals(c_Power_Opower__class_Opower(V_b,V_x,T_a),c_Power_Opower__class_Opower(V_b,V_y,T_a),T_a) % 0.91/1.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_b,T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_power__increasing__iff_1,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.91/1.05 | c_lessequals(c_Power_Opower__class_Opower(V_b,V_x,T_a),c_Power_Opower__class_Opower(V_b,V_y,T_a),T_a) % 0.91/1.05 | ~ c_lessequals(V_x,V_y,tc_nat) % 0.91/1.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_b,T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_minus__divide__right_0,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.91/1.05 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.05 | 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) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_minus__divide__left_0,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.91/1.05 | 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) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_add__divide__distrib_0,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.91/1.05 | 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) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_less__1__mult_0,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.91/1.05 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),c_HOL_Otimes__class_Otimes(V_m,V_n,T_a),T_a) % 0.91/1.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_n,T_a) % 0.91/1.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_m,T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_minus__minus_0,axiom, % 0.91/1.05 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.91/1.05 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) = V_a ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_double__compl_0,axiom, % 0.91/1.05 ( ~ class_Lattices_Oboolean__algebra(T_a) % 0.91/1.05 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_x,T_a),T_a) = V_x ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_equation__minus__iff_0,axiom, % 0.91/1.05 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.91/1.05 | V_b = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_equation__minus__iff_1,axiom, % 0.91/1.05 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.91/1.05 | V_a = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_minus__equation__iff_1,axiom, % 0.91/1.05 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.91/1.05 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) = V_b ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_minus__diff__eq_0,axiom, % 0.91/1.05 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.91/1.05 | 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) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_add__le__less__mono_0,axiom, % 0.91/1.05 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a) % 0.91/1.05 | 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) % 0.91/1.05 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a) % 0.91/1.05 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_add__less__le__mono_0,axiom, % 0.91/1.05 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a) % 0.91/1.05 | 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) % 0.91/1.05 | ~ c_lessequals(V_c,V_d,T_a) % 0.91/1.05 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_less__Suc__eq__0__disj_3,axiom, % 0.91/1.05 ( c_HOL_Oord__class_Oless(c_Suc(V_x),c_Suc(V_n),tc_nat) % 0.91/1.05 | ~ c_HOL_Oord__class_Oless(V_x,V_n,tc_nat) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_Suc__less__eq_0,axiom, % 0.91/1.05 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) % 0.91/1.05 | ~ c_HOL_Oord__class_Oless(c_Suc(V_m),c_Suc(V_n),tc_nat) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_Suc__mono_0,axiom, % 0.91/1.05 ( c_HOL_Oord__class_Oless(c_Suc(V_m),c_Suc(V_n),tc_nat) % 0.91/1.05 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_add__gr__0_2,axiom, % 0.91/1.05 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat),tc_nat) % 0.91/1.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_add__gr__0_1,axiom, % 0.91/1.05 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat),tc_nat) % 0.91/1.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_zero__less__double__add__iff__zero__less__single__add_0,axiom, % 0.91/1.05 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.91/1.05 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.91/1.05 | ~ 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) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_zero__less__double__add__iff__zero__less__single__add_1,axiom, % 0.91/1.05 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.91/1.05 | 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) % 0.91/1.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_le__minus__iff_0,axiom, % 0.91/1.05 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.91/1.05 | c_lessequals(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) % 0.91/1.05 | ~ c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_le__minus__iff_1,axiom, % 0.91/1.05 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.91/1.05 | c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) % 0.91/1.05 | ~ c_lessequals(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_minus__le__iff_0,axiom, % 0.91/1.05 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.91/1.05 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a) % 0.91/1.05 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_minus__le__iff_1,axiom, % 0.91/1.05 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.91/1.05 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) % 0.91/1.05 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_less__minus__iff_0,axiom, % 0.91/1.05 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.91/1.05 | c_HOL_Oord__class_Oless(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) % 0.91/1.05 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_less__minus__iff_1,axiom, % 0.91/1.05 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.91/1.05 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) % 0.91/1.05 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_minus__less__iff_0,axiom, % 0.91/1.05 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.91/1.05 | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a) % 0.91/1.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_minus__less__iff_1,axiom, % 0.91/1.05 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.91/1.05 | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) % 0.91/1.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_eq__divide__eq_2,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.91/1.05 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.05 | c_HOL_Ozero__class_Ozero(T_a) = c_HOL_Oinverse__class_Odivide(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_inverse__nonzero__iff__nonzero_1,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Odivision__ring(T_a) % 0.91/1.05 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.05 | c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_inverse__zero_0,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.05 | c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_nonzero__inverse__eq__imp__eq_0,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Odivision__ring(T_a) % 0.91/1.05 | c_HOL_Oinverse__class_Oinverse(V_a,T_a) != c_HOL_Oinverse__class_Oinverse(V_b,T_a) % 0.91/1.05 | V_a = V_b % 0.91/1.05 | V_b = c_HOL_Ozero__class_Ozero(T_a) % 0.91/1.05 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_minus__zero_0,axiom, % 0.91/1.05 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.91/1.05 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_neg__equal__zero_1,axiom, % 0.91/1.05 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a) % 0.91/1.05 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_inverse__nonzero__iff__nonzero_0,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Odivision__ring(T_a) % 0.91/1.05 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.05 | c_HOL_Oinverse__class_Oinverse(V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.91/1.05 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_inverse__zero__imp__zero_0,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Odivision__ring(T_a) % 0.91/1.05 | c_HOL_Oinverse__class_Oinverse(V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.91/1.05 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_power__eq__0__iff_0,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a) % 0.91/1.05 | ~ class_Ring__and__Field_Ono__zero__divisors(T_a) % 0.91/1.05 | ~ class_Ring__and__Field_Omult__zero(T_a) % 0.91/1.05 | ~ class_Power_Opower(T_a) % 0.91/1.05 | c_Power_Opower__class_Opower(V_a,V_n,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.91/1.05 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_field__power__not__zero_0,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Oring__1__no__zero__divisors(T_a) % 0.91/1.05 | c_Power_Opower__class_Opower(V_a,V_n,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.91/1.05 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_neg__0__equal__iff__equal_1,axiom, % 0.91/1.05 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.91/1.05 | c_HOL_Ozero__class_Ozero(T_a) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_sgn0_0,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Osgn__if(T_a) % 0.91/1.05 | c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_sgn__0__0_1,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.91/1.05 | c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_class__semiring_Omul__0_0,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.91/1.05 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_mult__zero__left_0,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Omult__zero(T_a) % 0.91/1.05 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_mult__zero__right_0,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Omult__zero(T_a) % 0.91/1.05 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_mult__eq__0__iff_1,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(T_a) % 0.91/1.05 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_mult__eq__0__iff_2,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(T_a) % 0.91/1.05 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_class__semiring_Osemiring__rules_I10_J_0,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.91/1.05 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_class__semiring_Osemiring__rules_I9_J_0,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.91/1.05 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_neg__equal__0__iff__equal_0,axiom, % 0.91/1.05 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.91/1.05 | c_HOL_Ouminus__class_Ouminus(V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.91/1.05 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_dvd__0__right_0,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.91/1.05 | c_Ring__and__Field_Odvd__class_Odvd(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_one__neq__zero_0,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a) % 0.91/1.05 | c_HOL_Oone__class_Oone(T_a) != c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_no__zero__divirors__neq0_0,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Ono__zero__divisors(T_a) % 0.91/1.05 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.91/1.05 | V_a = c_HOL_Ozero__class_Ozero(T_a) % 0.91/1.05 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_no__zero__divisors_0,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Ono__zero__divisors(T_a) % 0.91/1.05 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.91/1.05 | V_b = c_HOL_Ozero__class_Ozero(T_a) % 0.91/1.05 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_mult__eq__0__iff_0,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(T_a) % 0.91/1.05 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.91/1.05 | V_b = c_HOL_Ozero__class_Ozero(T_a) % 0.91/1.05 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_double__eq__0__iff_0,axiom, % 0.91/1.05 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.91/1.05 | c_HOL_Oplus__class_Oplus(V_a,V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.91/1.05 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_class__ringb_Osubr0__iff_1,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.91/1.05 | ~ class_Int_Onumber__ring(T_a) % 0.91/1.05 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_diff__self_0,axiom, % 0.91/1.05 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.91/1.05 | c_HOL_Ominus__class_Ominus(V_a,V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_diff__0__right_0,axiom, % 0.91/1.05 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.91/1.05 | c_HOL_Ominus__class_Ominus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_right__minus__eq_1,axiom, % 0.91/1.05 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.91/1.05 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_eq__iff__diff__eq__0_0,axiom, % 0.91/1.05 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.91/1.05 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_class__ringb_Oadd__r0__iff_0,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.91/1.05 | ~ class_Int_Onumber__ring(T_a) % 0.91/1.05 | V_x != c_HOL_Oplus__class_Oplus(V_x,V_a,T_a) % 0.91/1.05 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_double__eq__0__iff_1,axiom, % 0.91/1.05 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.91/1.05 | 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) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_neg__0__equal__iff__equal_0,axiom, % 0.91/1.05 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.91/1.05 | c_HOL_Ozero__class_Ozero(T_a) != c_HOL_Ouminus__class_Ouminus(V_a,T_a) % 0.91/1.05 | c_HOL_Ozero__class_Ozero(T_a) = V_a ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_zero__neq__one_0,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a) % 0.91/1.05 | c_HOL_Ozero__class_Ozero(T_a) != c_HOL_Oone__class_Oone(T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_zero__less__divide__iff_0,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.05 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.05 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.05 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.91/1.05 | ~ 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) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_divide__nonneg__neg_0,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.05 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.05 | ~ c_HOL_Oord__class_Oless(V_y,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.05 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_divide__nonpos__pos_0,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.05 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) % 0.91/1.05 | ~ c_lessequals(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_mult__idem_0,axiom, % 0.91/1.05 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(T_a) % 0.91/1.05 | c_HOL_Otimes__class_Otimes(V_x,V_x,T_a) = V_x ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_mult__strict__mono_H_0,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.91/1.05 | 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) % 0.91/1.05 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.91/1.05 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.91/1.05 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a) % 0.91/1.05 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_le__less__Suc__eq_0,axiom, % 0.91/1.05 ( V_n = V_m % 0.91/1.05 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat) % 0.91/1.05 | ~ c_lessequals(V_m,V_n,tc_nat) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_division__ring__inverse__diff_0,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Odivision__ring(T_a) % 0.91/1.05 | c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Ominus__class_Ominus(V_b,V_a,T_a),T_a),c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a) % 0.91/1.05 | V_b = c_HOL_Ozero__class_Ozero(T_a) % 0.91/1.05 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_mult__le__mono1_0,axiom, % 0.91/1.05 ( c_lessequals(c_HOL_Otimes__class_Otimes(V_i,V_k,tc_nat),c_HOL_Otimes__class_Otimes(V_j,V_k,tc_nat),tc_nat) % 0.91/1.05 | ~ c_lessequals(V_i,V_j,tc_nat) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_mult__le__mono2_0,axiom, % 0.91/1.05 ( c_lessequals(c_HOL_Otimes__class_Otimes(V_k,V_i,tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_j,tc_nat),tc_nat) % 0.91/1.05 | ~ c_lessequals(V_i,V_j,tc_nat) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_mult__le__cancel1_2,axiom, % 0.91/1.05 ( c_lessequals(c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat),tc_nat) % 0.91/1.05 | ~ c_lessequals(V_m,V_n,tc_nat) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_mult__le__cancel2_2,axiom, % 0.91/1.05 ( c_lessequals(c_HOL_Otimes__class_Otimes(V_m,V_k,tc_nat),c_HOL_Otimes__class_Otimes(V_n,V_k,tc_nat),tc_nat) % 0.91/1.05 | ~ c_lessequals(V_m,V_n,tc_nat) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_zero__less__diff_0,axiom, % 0.91/1.05 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) % 0.91/1.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(V_n,V_m,tc_nat),tc_nat) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_zero__less__diff_1,axiom, % 0.91/1.05 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(V_n,V_m,tc_nat),tc_nat) % 0.91/1.05 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_Suc__lessD_0,axiom, % 0.91/1.05 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) % 0.91/1.05 | ~ c_HOL_Oord__class_Oless(c_Suc(V_m),V_n,tc_nat) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_less__SucI_0,axiom, % 0.91/1.05 ( c_HOL_Oord__class_Oless(V_m,c_Suc(V_n),tc_nat) % 0.91/1.05 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_inverse__eq__iff__eq_0,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Odivision__ring(T_a) % 0.91/1.05 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.05 | c_HOL_Oinverse__class_Oinverse(V_a,T_a) != c_HOL_Oinverse__class_Oinverse(V_b,T_a) % 0.91/1.05 | V_a = V_b ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_sum__squares__eq__zero__iff_2,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.91/1.05 | 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) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_mult__less__cancel__right__disj_2,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.91/1.05 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.05 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.91/1.05 | ~ 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) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_mult__less__cancel__right__disj_1,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.91/1.05 | c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 0.91/1.05 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.91/1.05 | ~ 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) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_mult__less__cancel__left__disj_2,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.91/1.05 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.05 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.91/1.05 | ~ 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) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_mult__less__cancel__left__disj_1,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.91/1.05 | c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 0.91/1.05 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.91/1.05 | ~ 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) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_Suc__mult__cancel1_0,axiom, % 0.91/1.05 ( c_HOL_Otimes__class_Otimes(c_Suc(V_k),V_m,tc_nat) != c_HOL_Otimes__class_Otimes(c_Suc(V_k),V_n,tc_nat) % 0.91/1.05 | V_m = V_n ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_Suc__pred_0,axiom, % 0.91/1.05 ( c_Suc(c_HOL_Ominus__class_Ominus(V_n,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)) = V_n % 0.91/1.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_of__nat__add_0,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Osemiring__1(T_a) % 0.91/1.05 | c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat),T_a) = c_HOL_Oplus__class_Oplus(c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a),T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_diff__less_0,axiom, % 0.91/1.05 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),V_m,tc_nat) % 0.91/1.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat) % 0.91/1.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_min__max_Odistrib__sup__le_0,axiom, % 0.91/1.05 ( ~ class_Orderings_Olinorder(T_a) % 0.91/1.05 | 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) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_le__eqI_0,axiom, % 0.91/1.05 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.91/1.05 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a) % 0.91/1.05 | c_lessequals(V_y_H,V_x_H,T_a) % 0.91/1.05 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_le__eqI_1,axiom, % 0.91/1.05 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.91/1.05 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a) % 0.91/1.05 | c_lessequals(V_y,V_x,T_a) % 0.91/1.05 | ~ c_lessequals(V_y_H,V_x_H,T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_less__eqI_0,axiom, % 0.91/1.05 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.91/1.05 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a) % 0.91/1.05 | c_HOL_Oord__class_Oless(V_x_H,V_y_H,T_a) % 0.91/1.05 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_less__eqI_1,axiom, % 0.91/1.05 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.91/1.05 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a) % 0.91/1.05 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.91/1.05 | ~ c_HOL_Oord__class_Oless(V_x_H,V_y_H,T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_power__mult__distrib_0,axiom, % 0.91/1.05 ( ~ class_OrderedGroup_Ocomm__monoid__mult(T_a) % 0.91/1.05 | c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_n,T_a) = c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_a,V_n,T_a),c_Power_Opower__class_Opower(V_b,V_n,T_a),T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_class__semiring_Opwr__mul_0,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.91/1.05 | c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),V_q,T_a) = c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_x,V_q,T_a),c_Power_Opower__class_Opower(V_y,V_q,T_a),T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_neg__0__less__iff__less_1,axiom, % 0.91/1.05 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.91/1.05 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) % 0.91/1.05 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_neg__0__less__iff__less_0,axiom, % 0.91/1.05 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.91/1.05 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_add__diff__inverse_0,axiom, % 0.91/1.05 ( c_HOL_Oplus__class_Oplus(V_n,c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),tc_nat) = V_m % 0.91/1.05 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_diff__Suc__less_0,axiom, % 0.91/1.05 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_n,c_Suc(V_i),tc_nat),V_n,tc_nat) % 0.91/1.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_inf__period_I4_J_1,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Odvd(T_a) % 0.91/1.05 | ~ class_Ring__and__Field_Ocomm__ring(T_a) % 0.91/1.05 | c_Ring__and__Field_Odvd__class_Odvd(V_d,c_HOL_Oplus__class_Oplus(V_x,V_t,T_a),T_a) % 0.91/1.05 | ~ 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) % 0.91/1.05 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_d,V_D,T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_inf__period_I4_J_0,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Odvd(T_a) % 0.91/1.05 | ~ class_Ring__and__Field_Ocomm__ring(T_a) % 0.91/1.05 | 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) % 0.91/1.05 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_d,c_HOL_Oplus__class_Oplus(V_x,V_t,T_a),T_a) % 0.91/1.05 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_d,V_D,T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_frac__eq__eq_1,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.91/1.05 | c_HOL_Otimes__class_Otimes(V_x,V_z,T_a) != c_HOL_Otimes__class_Otimes(V_w,V_y,T_a) % 0.91/1.05 | V_z = c_HOL_Ozero__class_Ozero(T_a) % 0.91/1.05 | V_y = c_HOL_Ozero__class_Ozero(T_a) % 0.91/1.05 | c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a) = c_HOL_Oinverse__class_Odivide(V_w,V_z,T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_frac__eq__eq_0,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.91/1.05 | c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a) != c_HOL_Oinverse__class_Odivide(V_w,V_z,T_a) % 0.91/1.05 | V_z = c_HOL_Ozero__class_Ozero(T_a) % 0.91/1.05 | V_y = c_HOL_Ozero__class_Ozero(T_a) % 0.91/1.05 | c_HOL_Otimes__class_Otimes(V_x,V_z,T_a) = c_HOL_Otimes__class_Otimes(V_w,V_y,T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_add__is__1_1,axiom, % 0.91/1.05 ( c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) % 0.91/1.05 | V_n = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) % 0.91/1.05 | V_m = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_add__is__1_2,axiom, % 0.91/1.05 ( c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) % 0.91/1.05 | V_m = c_HOL_Ozero__class_Ozero(tc_nat) % 0.91/1.05 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_min__max_Osup__inf__distrib2_0,axiom, % 0.91/1.05 ( ~ class_Orderings_Olinorder(T_a) % 0.91/1.05 | 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) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_min__max_Osup__inf__distrib1_0,axiom, % 0.91/1.05 ( ~ class_Orderings_Olinorder(T_a) % 0.91/1.05 | 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) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_power__mult_0,axiom, % 0.91/1.05 ( ~ class_OrderedGroup_Omonoid__mult(T_a) % 0.91/1.05 | c_Power_Opower__class_Opower(V_a,c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat),T_a) = c_Power_Opower__class_Opower(c_Power_Opower__class_Opower(V_a,V_m,T_a),V_n,T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_xt1_I11_J_0,axiom, % 0.91/1.05 ( ~ class_Orderings_Oorder(T_a) % 0.91/1.05 | c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 0.91/1.05 | V_a = V_b % 0.91/1.05 | ~ c_lessequals(V_b,V_a,T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_xt1_I12_J_0,axiom, % 0.91/1.05 ( ~ class_Orderings_Oorder(T_a) % 0.91/1.05 | c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 0.91/1.05 | ~ c_lessequals(V_b,V_a,T_a) % 0.91/1.05 | V_a = V_b ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_nat__less__le_2,axiom, % 0.91/1.05 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) % 0.91/1.05 | V_m = V_n % 0.91/1.05 | ~ c_lessequals(V_m,V_n,tc_nat) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_le__eq__less__or__eq_0,axiom, % 0.91/1.05 ( V_m = V_n % 0.91/1.05 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) % 0.91/1.05 | ~ c_lessequals(V_m,V_n,tc_nat) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_le__neq__implies__less_0,axiom, % 0.91/1.05 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) % 0.91/1.05 | V_m = V_n % 0.91/1.05 | ~ c_lessequals(V_m,V_n,tc_nat) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_order__le__less_0,axiom, % 0.91/1.05 ( ~ class_Orderings_Oorder(T_a) % 0.91/1.05 | V_x = V_y % 0.91/1.05 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.91/1.05 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_order__less__le_2,axiom, % 0.91/1.05 ( ~ class_Orderings_Oorder(T_a) % 0.91/1.05 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.91/1.05 | V_x = V_y % 0.91/1.05 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_order__le__neq__trans_0,axiom, % 0.91/1.05 ( ~ class_Orderings_Oorder(T_a) % 0.91/1.05 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.91/1.05 | V_a = V_b % 0.91/1.05 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_order__neq__le__trans_0,axiom, % 0.91/1.05 ( ~ class_Orderings_Oorder(T_a) % 0.91/1.05 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.91/1.05 | ~ c_lessequals(V_a,V_b,T_a) % 0.91/1.05 | V_a = V_b ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_linorder__antisym__conv1_0,axiom, % 0.91/1.05 ( ~ class_Orderings_Olinorder(T_a) % 0.91/1.05 | V_x = V_y % 0.91/1.05 | ~ c_lessequals(V_x,V_y,T_a) % 0.91/1.05 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_linorder__antisym__conv2_0,axiom, % 0.91/1.05 ( ~ class_Orderings_Olinorder(T_a) % 0.91/1.05 | V_x = V_y % 0.91/1.05 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.91/1.05 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_divide__right__mono__neg_0,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.05 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.05 | 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) % 0.91/1.05 | ~ c_lessequals(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.05 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_divide__right__mono_0,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.05 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.05 | 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) % 0.91/1.05 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.91/1.05 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_power__inverse_0,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Odivision__ring(T_a) % 0.91/1.05 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.05 | c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(V_a,T_a),V_n,T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_inverse__minus__eq_0,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Odivision__ring(T_a) % 0.91/1.05 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.05 | c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_sgn__times_0,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.91/1.05 | c_HOL_Osgn__class_Osgn(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(V_a,T_a),c_HOL_Osgn__class_Osgn(V_b,T_a),T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_mult__nonneg__nonneg_0,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a) % 0.91/1.05 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) % 0.91/1.05 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.91/1.05 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_zero__le__mult__iff_5,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.91/1.05 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) % 0.91/1.05 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.05 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_zero__le__mult__iff_4,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.91/1.05 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) % 0.91/1.05 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.91/1.05 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_zero__le__square_0,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.91/1.05 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_a,T_a),T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_mult__nonpos__nonpos_0,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 0.91/1.05 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) % 0.91/1.05 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.05 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_split__mult__pos__le_1,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 0.91/1.05 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) % 0.91/1.05 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.05 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_split__mult__pos__le_0,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 0.91/1.05 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) % 0.91/1.05 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.91/1.05 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_dB_Osize_I2_J_0,axiom, % 0.91/1.05 c_Lambda_OdB_OdB__size(c_Lambda_OdB_OApp(V_dB1,V_dB2)) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_Lambda_OdB_OdB__size(V_dB1),c_Lambda_OdB_OdB__size(V_dB2),tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_less__minus__self__iff_0,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.91/1.05 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.91/1.05 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_less__minus__self__iff_1,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.91/1.05 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) % 0.91/1.05 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_right__inverse__eq_0,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.91/1.05 | c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a) != c_HOL_Oone__class_Oone(T_a) % 0.91/1.05 | V_b = c_HOL_Ozero__class_Ozero(T_a) % 0.91/1.05 | V_a = V_b ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_class__ring_Oneg__mul_0,axiom, % 0.91/1.05 ( ~ class_Int_Onumber__ring(T_a) % 0.91/1.05 | c_HOL_Ouminus__class_Ouminus(V_x,T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(T_a),T_a),V_x,T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_Suc__le__mono_0,axiom, % 0.91/1.05 ( c_lessequals(V_n,V_m,tc_nat) % 0.91/1.05 | ~ c_lessequals(c_Suc(V_n),c_Suc(V_m),tc_nat) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_Suc__le__mono_1,axiom, % 0.91/1.05 ( c_lessequals(c_Suc(V_n),c_Suc(V_m),tc_nat) % 0.91/1.05 | ~ c_lessequals(V_n,V_m,tc_nat) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_divide__eq__eq_4,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.91/1.05 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.05 | 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) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_sgn__1__pos_0,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.91/1.05 | c_HOL_Osgn__class_Osgn(V_a,T_a) != c_HOL_Oone__class_Oone(T_a) % 0.91/1.05 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_sgn__pos_0,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.91/1.05 | c_HOL_Osgn__class_Osgn(V_a,T_a) = c_HOL_Oone__class_Oone(T_a) % 0.91/1.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_dB_Osize_I3_J_0,axiom, % 0.91/1.05 c_Lambda_OdB_OdB__size(c_Lambda_OdB_OAbs(V_dB)) = c_HOL_Oplus__class_Oplus(c_Lambda_OdB_OdB__size(V_dB),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_ab__semigroup__mult__class_Omult__ac_I1_J_0,axiom, % 0.91/1.05 ( ~ class_OrderedGroup_Oab__semigroup__mult(T_a) % 0.91/1.05 | 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) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_class__semiring_Osemiring__rules_I16_J_0,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.91/1.05 | 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) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_class__semiring_Osemiring__rules_I17_J_0,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.91/1.05 | 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) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_class__semiring_Osemiring__rules_I18_J_0,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.91/1.05 | 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) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_class__semiring_Osemiring__rules_I19_J_0,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.91/1.05 | 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) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_nat__mult__assoc_0,axiom, % 0.91/1.05 c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat),V_k,tc_nat) = c_HOL_Otimes__class_Otimes(V_m,c_HOL_Otimes__class_Otimes(V_n,V_k,tc_nat),tc_nat) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_class__semiring_Omul__a_0,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.91/1.05 | 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) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_class__semiring_Osemiring__rules_I8_J_0,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.91/1.05 | 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) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_comm__semiring__class_Odistrib_0,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Ocomm__semiring(T_a) % 0.91/1.05 | 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) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_add__mult__distrib_0,axiom, % 0.91/1.05 c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat),V_k,tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_m,V_k,tc_nat),c_HOL_Otimes__class_Otimes(V_n,V_k,tc_nat),tc_nat) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_add__mult__distrib2_0,axiom, % 0.91/1.05 c_HOL_Otimes__class_Otimes(V_k,c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat),tc_nat) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_class__semiring_Omul__d_0,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.91/1.05 | 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) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_minus__add__distrib_0,axiom, % 0.91/1.05 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.91/1.05 | 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) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_minus__add_0,axiom, % 0.91/1.05 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.91/1.05 | 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) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_frac__less_0,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.91/1.05 | 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) % 0.91/1.05 | ~ c_lessequals(V_w,V_z,T_a) % 0.91/1.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_w,T_a) % 0.91/1.05 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.91/1.05 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_xt1_I9_J_0,axiom, % 0.91/1.05 ( ~ class_Orderings_Oorder(T_a) % 0.91/1.05 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.91/1.05 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_not__less__iff__gr__or__eq_1,axiom, % 0.91/1.05 ( ~ class_Orderings_Olinorder(T_a) % 0.91/1.05 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.91/1.05 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_nat__le__linear_0,axiom, % 0.91/1.05 ( c_lessequals(V_n,V_m,tc_nat) % 0.91/1.05 | c_lessequals(V_m,V_n,tc_nat) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_linorder__linear_0,axiom, % 0.91/1.05 ( ~ class_Orderings_Olinorder(T_a) % 0.91/1.05 | c_lessequals(V_y,V_x,T_a) % 0.91/1.05 | c_lessequals(V_x,V_y,T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_order__less__asym_0,axiom, % 0.91/1.05 ( ~ class_Orderings_Opreorder(T_a) % 0.91/1.05 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 0.91/1.05 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_order__less__asym_H_0,axiom, % 0.91/1.05 ( ~ class_Orderings_Opreorder(T_a) % 0.91/1.05 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 0.91/1.05 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_nonzero__inverse__inverse__eq_0,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Odivision__ring(T_a) % 0.91/1.05 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) = V_a % 0.91/1.05 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_dvd__0__left_0,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.91/1.05 | V_a = c_HOL_Ozero__class_Ozero(T_a) % 0.91/1.05 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_class__ringb_Osubr0__iff_0,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.91/1.05 | ~ class_Int_Onumber__ring(T_a) % 0.91/1.05 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.91/1.05 | V_x = V_y ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_right__minus__eq_0,axiom, % 0.91/1.05 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.91/1.05 | c_HOL_Ominus__class_Ominus(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.91/1.05 | V_a = V_b ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_eq__iff__diff__eq__0_1,axiom, % 0.91/1.05 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.91/1.05 | c_HOL_Ominus__class_Ominus(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.91/1.05 | V_a = V_b ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_divide__eq__eq_1,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.91/1.05 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.05 | c_HOL_Oinverse__class_Odivide(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_divide__zero_0,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.91/1.05 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.05 | c_HOL_Oinverse__class_Odivide(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_divide__zero__left_0,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.91/1.05 | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_divide__self__if_0,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.91/1.05 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.91/1.05 | 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) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_sgn__0__0_0,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.91/1.05 | c_HOL_Osgn__class_Osgn(V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.91/1.05 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_class__semiring_Oadd__0_0,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.91/1.05 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) = V_x ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_comm__monoid__add_Omult__1_0,axiom, % 0.91/1.05 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.91/1.05 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = V_a ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_class__ringb_Oadd__r0__iff_1,axiom, % 0.91/1.05 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.91/1.05 | ~ class_Int_Onumber__ring(T_a) % 0.91/1.05 | V_x = c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_comm__monoid__add_Omult__1__right_0,axiom, % 0.91/1.05 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.91/1.05 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_add__0__left_0,axiom, % 0.91/1.05 ( ~ class_OrderedGroup_Omonoid__add(T_a) % 0.91/1.05 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = V_a ) ). % 0.91/1.05 % 0.91/1.05 cnf(cls_monoid__add__class_Oadd__0__right_0,axiom, % 0.91/1.05 ( ~ class_OrderedGroup_Omonoid__add(T_a) % 0.91/1.06 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_class__semiring_Osemiring__rules_I6_J_0,axiom, % 0.91/1.06 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.91/1.06 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_class__semiring_Osemiring__rules_I5_J_0,axiom, % 0.91/1.06 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.91/1.06 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = V_a ) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_neg__equal__zero_0,axiom, % 0.91/1.06 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a) % 0.91/1.06 | c_HOL_Ouminus__class_Ouminus(V_a,T_a) != V_a % 0.91/1.06 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_power__0__left_0,axiom, % 0.91/1.06 ( ~ class_Ring__and__Field_Osemiring__0(T_a) % 0.91/1.06 | ~ class_Power_Opower(T_a) % 0.91/1.06 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(tc_nat),T_a) = c_HOL_Oone__class_Oone(T_a) ) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_nat_Osize_I3_J_0,axiom, % 0.91/1.06 c_Nat_Osize__class_Osize(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_le__0__eq_1,axiom, % 0.91/1.06 c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_mult__cancel2_1,axiom, % 0.91/1.06 c_HOL_Otimes__class_Otimes(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_HOL_Otimes__class_Otimes(V_n,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_mult__cancel1_1,axiom, % 0.91/1.06 c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat) = c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_neq0__conv_1,axiom, % 0.91/1.06 ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_liftn__0_0,axiom, % 0.91/1.06 c_Lambda_Oliftn(c_HOL_Ozero__class_Ozero(tc_nat),V_t,V_k) = V_t ). % 0.91/1.06 % 0.91/1.06 cnf(cls_gr0I_0,axiom, % 0.91/1.06 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) % 0.91/1.06 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_Suc__neq__Zero_0,axiom, % 0.91/1.06 c_Suc(V_m) != c_HOL_Ozero__class_Ozero(tc_nat) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_nat_Osimps_I3_J_0,axiom, % 0.91/1.06 c_Suc(V_nat_H) != c_HOL_Ozero__class_Ozero(tc_nat) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_diffs0__imp__equal_0,axiom, % 0.91/1.06 ( c_HOL_Ominus__class_Ominus(V_n,V_m,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) % 0.91/1.06 | c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) % 0.91/1.06 | V_m = V_n ) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_le__0__eq_0,axiom, % 0.91/1.06 ( V_n = c_HOL_Ozero__class_Ozero(tc_nat) % 0.91/1.06 | ~ c_lessequals(V_n,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_mult__is__0_2,axiom, % 0.91/1.06 c_HOL_Otimes__class_Otimes(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_mult__is__0_1,axiom, % 0.91/1.06 c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_mult__is__0_0,axiom, % 0.91/1.06 ( c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) % 0.91/1.06 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) % 0.91/1.06 | V_m = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_add__is__0_1,axiom, % 0.91/1.06 ( c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) % 0.91/1.06 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_add__is__0_0,axiom, % 0.91/1.06 ( c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) % 0.91/1.06 | V_m = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_min__0R_0,axiom, % 0.91/1.06 c_Orderings_Oord__class_Omin(V_n,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_min__0L_0,axiom, % 0.91/1.06 c_Orderings_Oord__class_Omin(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_mult__cancel2_0,axiom, % 0.91/1.06 ( c_HOL_Otimes__class_Otimes(V_m,V_k,tc_nat) != c_HOL_Otimes__class_Otimes(V_n,V_k,tc_nat) % 0.91/1.06 | V_k = c_HOL_Ozero__class_Ozero(tc_nat) % 0.91/1.06 | V_m = V_n ) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_mult__cancel1_0,axiom, % 0.91/1.06 ( c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat) != c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat) % 0.91/1.06 | V_k = c_HOL_Ozero__class_Ozero(tc_nat) % 0.91/1.06 | V_m = V_n ) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_nat__mult__eq__cancel__disj_0,axiom, % 0.91/1.06 ( c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat) != c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat) % 0.91/1.06 | V_m = V_n % 0.91/1.06 | V_k = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_minus__nat_Odiff__0_0,axiom, % 0.91/1.06 c_HOL_Ominus__class_Ominus(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = V_m ). % 0.91/1.06 % 0.91/1.06 cnf(cls_diff__self__eq__0_0,axiom, % 0.91/1.06 c_HOL_Ominus__class_Ominus(V_m,V_m,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_natgb_Oadd__r0__iff_0,axiom, % 0.91/1.06 ( V_x != c_HOL_Oplus__class_Oplus(V_x,V_a,tc_nat) % 0.91/1.06 | V_a = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_add__eq__self__zero_0,axiom, % 0.91/1.06 ( c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat) != V_m % 0.91/1.06 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_Zero__neq__Suc_0,axiom, % 0.91/1.06 c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(V_m) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_nat_Osimps_I2_J_0,axiom, % 0.91/1.06 c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(V_nat_H) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_nat__gcd_Osimps_0,axiom, % 0.91/1.06 c_Nitpick_Onat__gcd(V_x,c_HOL_Ozero__class_Ozero(tc_nat)) = V_x ). % 0.91/1.06 % 0.91/1.06 cnf(cls_nat_Osize_I1_J_0,axiom, % 0.91/1.06 c_nat_Onat__size(c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Ozero__class_Ozero(tc_nat) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_char__size_0,axiom, % 0.91/1.06 c_String_Ochar_Ochar__size(V_c) = c_HOL_Ozero__class_Ozero(tc_nat) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_add__is__0_2,axiom, % 0.91/1.06 c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_gr__implies__not0_0,axiom, % 0.91/1.06 ~ c_HOL_Oord__class_Oless(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_not__less0_0,axiom, % 0.91/1.06 ~ c_HOL_Oord__class_Oless(V_n,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_bot__nat__def_0,axiom, % 0.91/1.06 c_Orderings_Obot__class_Obot(tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_drop__0_0,axiom, % 0.91/1.06 c_List_Odrop(c_HOL_Ozero__class_Ozero(tc_nat),V_xs,T_a) = V_xs ). % 0.91/1.06 % 0.91/1.06 cnf(cls_diff__0__eq__0_0,axiom, % 0.91/1.06 c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_le0_0,axiom, % 0.91/1.06 c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_size__char_0,axiom, % 0.91/1.06 c_Nat_Osize__class_Osize(V_c,tc_String_Ochar) = c_HOL_Ozero__class_Ozero(tc_nat) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_replicate__eq__replicate_2,axiom, % 0.91/1.06 c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),V_x,T_a) = c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),V_y,T_a) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_max__0R_0,axiom, % 0.91/1.06 c_Orderings_Oord__class_Omax(V_n,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = V_n ). % 0.91/1.06 % 0.91/1.06 cnf(cls_max__0L_0,axiom, % 0.91/1.06 c_Orderings_Oord__class_Omax(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) = V_n ). % 0.91/1.06 % 0.91/1.06 cnf(cls_replicate__eq__replicate_1,axiom, % 0.91/1.06 ( c_List_Oreplicate(V_m,V_x,T_a) != c_List_Oreplicate(V_n,V_y,T_a) % 0.91/1.06 | V_x = V_y % 0.91/1.06 | V_m = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_natgb_Oadd__r0__iff_1,axiom, % 0.91/1.06 V_x = c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_plus__nat_Oadd__0_0,axiom, % 0.91/1.06 c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) = V_n ). % 0.91/1.06 % 0.91/1.06 cnf(cls_Nat_Oadd__0__right_0,axiom, % 0.91/1.06 c_HOL_Oplus__class_Oplus(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = V_m ). % 0.91/1.06 % 0.91/1.06 cnf(cls_dB_Osimps_I8_J_0,axiom, % 0.91/1.06 c_Lambda_OdB_OApp(V_dB1,V_dB2) != c_Lambda_OdB_OAbs(V_dB_H) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_dB_Osimps_I9_J_0,axiom, % 0.91/1.06 c_Lambda_OdB_OAbs(V_dB_H) != c_Lambda_OdB_OApp(V_dB1,V_dB2) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_lift_Osimps_I2_J_0,axiom, % 0.91/1.06 c_Lambda_Olift(c_Lambda_OdB_OApp(V_s,V_t),V_k) = c_Lambda_OdB_OApp(c_Lambda_Olift(V_s,V_k),c_Lambda_Olift(V_t,V_k)) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_appR_0,axiom, % 0.91/1.06 ( c_Lambda_Obeta(c_Lambda_OdB_OApp(V_u,V_s),c_Lambda_OdB_OApp(V_u,V_t)) % 0.91/1.06 | ~ c_Lambda_Obeta(V_s,V_t) ) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_appL_0,axiom, % 0.91/1.06 ( c_Lambda_Obeta(c_Lambda_OdB_OApp(V_s,V_u),c_Lambda_OdB_OApp(V_t,V_u)) % 0.91/1.06 | ~ c_Lambda_Obeta(V_s,V_t) ) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_liftn_Osimps_I2_J_0,axiom, % 0.91/1.06 c_Lambda_Oliftn(V_n,c_Lambda_OdB_OApp(V_s,V_t),V_k) = c_Lambda_OdB_OApp(c_Lambda_Oliftn(V_n,V_s,V_k),c_Lambda_Oliftn(V_n,V_t,V_k)) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_substn_Osimps_I2_J_0,axiom, % 0.91/1.06 c_Lambda_Osubstn(c_Lambda_OdB_OApp(V_t,V_u),V_s,V_k) = c_Lambda_OdB_OApp(c_Lambda_Osubstn(V_t,V_s,V_k),c_Lambda_Osubstn(V_u,V_s,V_k)) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_substn__subst__n_0,axiom, % 0.91/1.06 c_Lambda_Osubstn(V_t,V_s,V_n) = c_Lambda_Osubst(V_t,c_Lambda_Oliftn(V_n,V_s,c_HOL_Ozero__class_Ozero(tc_nat)),V_n) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_subst__preserves__beta_0,axiom, % 0.91/1.06 ( c_Lambda_Obeta(c_Lambda_Osubst(V_r,V_t,V_i),c_Lambda_Osubst(V_s,V_t,V_i)) % 0.91/1.06 | ~ c_Lambda_Obeta(V_r,V_s) ) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_subst__lift_0,axiom, % 0.91/1.06 c_Lambda_Osubst(c_Lambda_Olift(V_t,V_k),V_s,V_k) = V_t ). % 0.91/1.06 % 0.91/1.06 cnf(cls_dB_Osimps_I7_J_0,axiom, % 0.91/1.06 c_Lambda_OdB_OAbs(V_dB_H) != c_Lambda_OdB_OVar(V_nat) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_beta__cases_I1_J_0,axiom, % 0.91/1.06 ~ c_Lambda_Obeta(c_Lambda_OdB_OVar(V_i),V_t) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_dB_Osimps_I6_J_0,axiom, % 0.91/1.06 c_Lambda_OdB_OVar(V_nat) != c_Lambda_OdB_OAbs(V_dB_H) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_lift__IT_0,axiom, % 0.91/1.06 ( c_InductTermi_OIT(c_Lambda_Olift(V_t,V_i)) % 0.91/1.06 | ~ c_InductTermi_OIT(V_t) ) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_Lambda_0,axiom, % 0.91/1.06 ( c_InductTermi_OIT(c_Lambda_OdB_OAbs(V_r)) % 0.91/1.06 | ~ c_InductTermi_OIT(V_r) ) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_beta_0,axiom, % 0.91/1.06 c_Lambda_Obeta(c_Lambda_OdB_OApp(c_Lambda_OdB_OAbs(V_s),V_t),c_Lambda_Osubst(V_s,V_t,c_HOL_Ozero__class_Ozero(tc_nat))) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_power__eq__0__iff_2,axiom, % 0.91/1.06 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a) % 0.91/1.06 | ~ class_Ring__and__Field_Ono__zero__divisors(T_a) % 0.91/1.06 | ~ class_Ring__and__Field_Omult__zero(T_a) % 0.91/1.06 | ~ class_Power_Opower(T_a) % 0.91/1.06 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(T_a),V_n,T_a) = c_HOL_Ozero__class_Ozero(T_a) % 0.91/1.06 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_power__0__left_1,axiom, % 0.91/1.06 ( ~ class_Ring__and__Field_Osemiring__0(T_a) % 0.91/1.06 | ~ class_Power_Opower(T_a) % 0.91/1.06 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(T_a),V_n,T_a) = c_HOL_Ozero__class_Ozero(T_a) % 0.91/1.06 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_power__eq__0__iff_1,axiom, % 0.91/1.06 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a) % 0.91/1.06 | ~ class_Ring__and__Field_Ono__zero__divisors(T_a) % 0.91/1.06 | ~ class_Ring__and__Field_Omult__zero(T_a) % 0.91/1.06 | ~ class_Power_Opower(T_a) % 0.91/1.06 | c_Power_Opower__class_Opower(V_a,c_HOL_Ozero__class_Ozero(tc_nat),T_a) != c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_of__nat__0_0,axiom, % 0.91/1.06 ( ~ class_Ring__and__Field_Osemiring__1(T_a) % 0.91/1.06 | c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_substn__subst__0_0,axiom, % 0.91/1.06 c_Lambda_Osubstn(V_t,V_s,c_HOL_Ozero__class_Ozero(tc_nat)) = c_Lambda_Osubst(V_t,V_s,c_HOL_Ozero__class_Ozero(tc_nat)) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_dB_Osize_I4_J_0,axiom, % 0.91/1.06 c_Nat_Osize__class_Osize(c_Lambda_OdB_OVar(V_nat),tc_Lambda_OdB) = c_HOL_Ozero__class_Ozero(tc_nat) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_dB_Osize_I1_J_0,axiom, % 0.91/1.06 c_Lambda_OdB_OdB__size(c_Lambda_OdB_OVar(V_nat)) = c_HOL_Ozero__class_Ozero(tc_nat) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_subst__lt_0,axiom, % 0.91/1.06 ( c_Lambda_Osubst(c_Lambda_OdB_OVar(V_j),V_u,V_i) = c_Lambda_OdB_OVar(V_j) % 0.91/1.06 | ~ c_HOL_Oord__class_Oless(V_j,V_i,tc_nat) ) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_subst__Var_2,axiom, % 0.91/1.06 ( c_Lambda_Osubst(c_Lambda_OdB_OVar(V_i),V_s,V_k) = c_Lambda_OdB_OVar(V_i) % 0.91/1.06 | V_i = V_k % 0.91/1.06 | c_HOL_Oord__class_Oless(V_k,V_i,tc_nat) ) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_subst__Var_1,axiom, % 0.91/1.06 ( c_HOL_Oord__class_Oless(V_x,V_x,tc_nat) % 0.91/1.06 | c_Lambda_Osubst(c_Lambda_OdB_OVar(V_x),V_s,V_x) = V_s ) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_subst__App_0,axiom, % 0.91/1.06 c_Lambda_Osubst(c_Lambda_OdB_OApp(V_t,V_u),V_s,V_k) = c_Lambda_OdB_OApp(c_Lambda_Osubst(V_t,V_s,V_k),c_Lambda_Osubst(V_u,V_s,V_k)) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_dB_Osimps_I1_J_0,axiom, % 0.91/1.06 ( c_Lambda_OdB_OVar(V_nat) != c_Lambda_OdB_OVar(V_nat_H) % 0.91/1.06 | V_nat = V_nat_H ) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_subst__eq_0,axiom, % 0.91/1.06 c_Lambda_Osubst(c_Lambda_OdB_OVar(V_k),V_u,V_k) = V_u ). % 0.91/1.06 % 0.91/1.06 cnf(cls_subst__Var__IT_0,axiom, % 0.91/1.06 ( c_InductTermi_OIT(c_Lambda_Osubst(V_r,c_Lambda_OdB_OVar(V_i),V_j)) % 0.91/1.06 | ~ c_InductTermi_OIT(V_r) ) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_dB_Osimps_I2_J_0,axiom, % 0.91/1.06 ( c_Lambda_OdB_OApp(V_dB1,V_dB2) != c_Lambda_OdB_OApp(V_dB1_H,V_dB2_H) % 0.91/1.06 | V_dB1 = V_dB1_H ) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_dB_Osimps_I2_J_1,axiom, % 0.91/1.06 ( c_Lambda_OdB_OApp(V_dB1,V_dB2) != c_Lambda_OdB_OApp(V_dB1_H,V_dB2_H) % 0.91/1.06 | V_dB2 = V_dB2_H ) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_dB_Osimps_I4_J_0,axiom, % 0.91/1.06 c_Lambda_OdB_OVar(V_nat) != c_Lambda_OdB_OApp(V_dB1_H,V_dB2_H) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_Var__IT_0,axiom, % 0.91/1.06 c_InductTermi_OIT(c_Lambda_OdB_OVar(V_n)) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_dB_Osimps_I5_J_0,axiom, % 0.91/1.06 c_Lambda_OdB_OApp(V_dB1_H,V_dB2_H) != c_Lambda_OdB_OVar(V_nat) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_conjecture_0,negated_conjecture, % 0.91/1.06 c_InductTermi_OIT(v_r) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_conjecture_1,negated_conjecture, % 0.91/1.06 c_InductTermi_OIT(c_Lambda_OdB_OApp(v_r,c_Lambda_OdB_OVar(v_i))) ). % 0.91/1.06 % 0.91/1.06 cnf(cls_conjecture_2,negated_conjecture, % 0.91/1.06 ~ c_InductTermi_OIT(c_Lambda_Osubst(v_r,c_Lambda_OdB_OVar(v_i),c_HOL_Ozero__class_Ozero(tc_nat))) ). % 0.91/1.06 % 0.91/1.06 cnf(clsarity_nat__OrderedGroup_Opordered__cancel__ab__semigroup__add,axiom, % 0.91/1.06 class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ). % 0.91/1.06 % 0.91/1.06 cnf(clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add__imp__le,axiom, % 0.91/1.06 class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ). % 0.91/1.06 % 0.91/1.06 cnf(clsarity_nat__Ring__and__Field_Oordered__comm__semiring__strict,axiom, % 0.91/1.06 class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat) ). % 0.91/1.06 % 0.91/1.06 cnf(clsarity_nat__Ring__and__Field_Opordered__cancel__semiring,axiom, % 0.91/1.06 class_Ring__and__Field_Opordered__cancel__semiring(tc_nat) ). % 0.91/1.06 % 0.91/1.06 cnf(clsarity_nat__Ring__and__Field_Oordered__semiring__strict,axiom, % 0.91/1.06 class_Ring__and__Field_Oordered__semiring__strict(tc_nat) ). % 0.91/1.06 % 0.91/1.06 cnf(clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add,axiom, % 0.91/1.06 class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ). % 0.91/1.06 % 0.91/1.06 cnf(clsarity_nat__OrderedGroup_Opordered__comm__monoid__add,axiom, % 0.91/1.06 class_OrderedGroup_Opordered__comm__monoid__add(tc_nat) ). % 0.91/1.06 % 0.91/1.06 cnf(clsarity_nat__OrderedGroup_Ocancel__ab__semigroup__add,axiom, % 0.91/1.06 class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ). % 0.91/1.06 % 0.91/1.06 cnf(clsarity_nat__OrderedGroup_Ocancel__semigroup__add,axiom, % 0.91/1.06 class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ). % 0.91/1.06 % 0.91/1.06 cnf(clsarity_nat__Ring__and__Field_Opordered__semiring,axiom, % 0.91/1.06 class_Ring__and__Field_Opordered__semiring(tc_nat) ). % 0.91/1.06 % 0.91/1.06 cnf(clsarity_nat__Ring__and__Field_Oordered__semiring,axiom, % 0.91/1.06 class_Ring__and__Field_Oordered__semiring(tc_nat) ). % 0.91/1.06 % 0.91/1.06 cnf(clsarity_nat__Ring__and__Field_Ono__zero__divisors,axiom, % 0.91/1.06 class_Ring__and__Field_Ono__zero__divisors(tc_nat) ). % 0.91/1.06 % 0.91/1.06 cnf(clsarity_nat__Ring__and__Field_Oordered__semidom,axiom, % 0.91/1.06 class_Ring__and__Field_Oordered__semidom(tc_nat) ). % 0.91/1.06 % 0.91/1.06 cnf(clsarity_nat__Ring__and__Field_Ocomm__semiring__1,axiom, % 0.91/1.06 class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ). % 0.91/1.06 % 0.91/1.06 cnf(clsarity_nat__OrderedGroup_Oab__semigroup__mult,axiom, % 0.91/1.06 class_OrderedGroup_Oab__semigroup__mult(tc_nat) ). % 0.91/1.06 % 0.91/1.06 cnf(clsarity_nat__OrderedGroup_Ocomm__monoid__mult,axiom, % 0.91/1.06 class_OrderedGroup_Ocomm__monoid__mult(tc_nat) ). % 0.91/1.06 % 0.91/1.06 cnf(clsarity_nat__OrderedGroup_Oab__semigroup__add,axiom, % 0.91/1.06 class_OrderedGroup_Oab__semigroup__add(tc_nat) ). % 0.91/1.06 % 0.91/1.06 cnf(clsarity_nat__Ring__and__Field_Ocomm__semiring,axiom, % 0.91/1.06 class_Ring__and__Field_Ocomm__semiring(tc_nat) ). % 0.91/1.06 % 0.91/1.06 cnf(clsarity_nat__OrderedGroup_Ocomm__monoid__add,axiom, % 0.91/1.06 class_OrderedGroup_Ocomm__monoid__add(tc_nat) ). % 0.91/1.06 % 0.91/1.06 cnf(clsarity_nat__Ring__and__Field_Ozero__neq__one,axiom, % 0.91/1.06 class_Ring__and__Field_Ozero__neq__one(tc_nat) ). % 0.91/1.06 % 0.91/1.06 cnf(clsarity_nat__Ring__and__Field_Osemiring__1,axiom, % 0.91/1.06 class_Ring__and__Field_Osemiring__1(tc_nat) ). % 0.91/1.06 % 0.91/1.06 cnf(clsarity_nat__Ring__and__Field_Osemiring__0,axiom, % 0.91/1.06 class_Ring__and__Field_Osemiring__0(tc_nat) ). % 0.91/1.06 % 0.91/1.06 cnf(clsarity_nat__Ring__and__Field_Omult__mono1,axiom, % 0.91/1.06 class_Ring__and__Field_Omult__mono1(tc_nat) ). % 0.91/1.06 % 0.91/1.06 cnf(clsarity_nat__Ring__and__Field_Omult__zero,axiom, % 0.91/1.06 class_Ring__and__Field_Omult__zero(tc_nat) ). % 0.91/1.06 % 0.91/1.06 cnf(clsarity_nat__Ring__and__Field_Omult__mono,axiom, % 0.91/1.06 class_Ring__and__Field_Omult__mono(tc_nat) ). % 0.91/1.06 % 0.91/1.06 cnf(clsarity_nat__OrderedGroup_Omonoid__mult,axiom, % 0.91/1.06 class_OrderedGroup_Omonoid__mult(tc_nat) ). % 0.91/1.06 % 0.91/1.06 cnf(clsarity_nat__Ring__and__Field_Osemiring,axiom, % 0.91/1.06 class_Ring__and__Field_Osemiring(tc_nat) ). % 0.91/1.06 % 0.91/1.06 cnf(clsarity_nat__OrderedGroup_Omonoid__add,axiom, % 0.91/1.06 class_OrderedGroup_Omonoid__add(tc_nat) ). % 0.91/1.06 % 0.91/1.06 cnf(clsarity_nat__Nat_Osemiring__char__0,axiom, % 0.91/1.06 class_Nat_Osemiring__char__0(tc_nat) ). % 0.91/1.06 % 0.91/1.06 cnf(clsarity_nat__Ring__and__Field_Odvd,axiom, % 0.91/1.06 class_Ring__and__Field_Odvd(tc_nat) ). % 0.91/1.06 % 0.91/1.06 cnf(clsarity_nat__Orderings_Opreorder,axiom, % 0.91/1.06 class_Orderings_Opreorder(tc_nat) ). % 0.91/1.06 % 0.91/1.06 cnf(clsarity_nat__Orderings_Olinorder,axiom, % 0.91/1.06 class_Orderings_Olinorder(tc_nat) ). % 0.91/1.06 % 0.91/1.06 cnf(clsarity_nat__Orderings_Oorder,axiom, % 0.91/1.06 class_Orderings_Oorder(tc_nat) ). % 0.91/1.06 % 0.91/1.06 cnf(clsarity_nat__Orderings_Obot,axiom, % 0.91/1.06 class_Orderings_Obot(tc_nat) ). % 0.91/1.06 % 0.91/1.06 cnf(clsarity_nat__Power_Opower,axiom, % 0.91/1.06 class_Power_Opower(tc_nat) ). % 0.91/1.06 % 0.91/1.06 %------------------------------------------------------------------------------ % 0.91/1.06 %------------------------------------------- % 0.91/1.06 % Proof found % 0.91/1.06 % SZS status Theorem for theBenchmark % 0.91/1.06 % SZS output start Proof % 0.91/1.06 %ClaNum:1231(EqnAxiom:130) % 0.91/1.06 %VarNum:8228(SingletonVarNum:2654) % 0.91/1.06 %MaxLitNum:6 % 0.91/1.06 %MaxfuncDepth:4 % 0.91/1.06 %SharedTerms:65 % 0.91/1.06 %goalClause: 166 176 286 % 0.91/1.06 %singleGoalClaCount:3 % 0.91/1.06 [131]P1(a1) % 0.91/1.06 [132]P2(a1) % 0.91/1.06 [133]P33(a1) % 0.91/1.06 [134]P51(a1) % 0.91/1.06 [135]P3(a1) % 0.91/1.06 [136]P34(a1) % 0.91/1.06 [137]P4(a1) % 0.91/1.06 [138]P20(a1) % 0.91/1.06 [139]P24(a1) % 0.91/1.06 [140]P5(a1) % 0.91/1.06 [141]P38(a1) % 0.91/1.06 [142]P28(a1) % 0.91/1.06 [143]P6(a1) % 0.91/1.06 [144]P52(a1) % 0.91/1.06 [145]P29(a1) % 0.91/1.06 [146]P25(a1) % 0.91/1.06 [147]P31(a1) % 0.91/1.06 [148]P32(a1) % 0.91/1.06 [149]P14(a1) % 0.91/1.06 [150]P61(a1) % 0.91/1.06 [151]P53(a1) % 0.91/1.06 [152]P54(a1) % 0.91/1.06 [153]P16(a1) % 0.91/1.06 [154]P19(a1) % 0.91/1.06 [155]P30(a1) % 0.91/1.06 [156]P41(a1) % 0.91/1.06 [157]P55(a1) % 0.91/1.06 [158]P42(a1) % 0.91/1.06 [159]P45(a1) % 0.91/1.06 [160]P62(a1) % 0.91/1.06 [161]P46(a1) % 0.91/1.06 [162]P47(a1) % 0.91/1.06 [163]P17(a1) % 0.91/1.06 [164]P35(a1) % 0.91/1.06 [165]P21(a1) % 0.91/1.06 [166]P7(a31) % 0.91/1.06 [167]E(f2(a1),f11(a1)) % 0.91/1.06 [168]E(f24(f2(a1)),f2(a1)) % 0.91/1.06 [176]P7(f13(a31,f12(a32))) % 0.91/1.06 [286]~P7(f20(a31,f12(a32),f2(a1))) % 0.91/1.06 [210]E(f8(f27(f2(a1)),f27(f2(a1)),a1),f27(f2(a1))) % 0.91/1.06 [178]P9(x1781,x1781,a1) % 0.91/1.06 [281]~P8(x2811,x2811,a1) % 0.91/1.06 [169]P7(f12(x1691)) % 0.91/1.06 [171]E(f16(x1711,a1),x1711) % 0.91/1.06 [172]E(f16(x1721,a29),f2(a1)) % 0.91/1.06 [179]E(f3(x1791,x1791,a1),f2(a1)) % 0.91/1.06 [180]P9(f2(a1),x1801,a1) % 0.91/1.06 [195]P8(x1951,f27(x1951),a1) % 0.91/1.06 [200]P8(f2(a1),f27(x2001),a1) % 0.91/1.06 [221]P9(x2211,f8(x2211,x2211,a1),a1) % 0.91/1.06 [268]~E(f27(x2681),x2681) % 0.91/1.06 [272]~E(f27(x2721),f2(a1)) % 0.91/1.06 [283]~P8(x2831,f2(a1),a1) % 0.91/1.06 [284]~P9(f27(x2841),x2841,a1) % 0.91/1.06 [170]E(f15(f12(x1701)),f2(a1)) % 0.91/1.06 [173]E(f23(x1731,f2(a1)),x1731) % 0.91/1.06 [175]E(f16(f12(x1751),a30),f2(a1)) % 0.91/1.06 [182]E(f3(x1821,f2(a1),a1),x1821) % 0.91/1.06 [183]E(f6(x1831,f2(a1),a1),x1831) % 0.91/1.06 [184]E(f25(x1841,f2(a1),a1),x1841) % 0.91/1.06 [185]E(f6(f2(a1),x1851,a1),x1851) % 0.91/1.06 [186]E(f25(f2(a1),x1861,a1),x1861) % 0.91/1.06 [189]E(f8(x1891,f2(a1),a1),f2(a1)) % 0.91/1.06 [190]E(f26(x1901,f2(a1),a1),f2(a1)) % 0.91/1.06 [191]E(f3(f2(a1),x1911,a1),f2(a1)) % 0.91/1.06 [192]E(f8(f2(a1),x1921,a1),f2(a1)) % 0.91/1.06 [193]E(f26(f2(a1),x1931,a1),f2(a1)) % 0.91/1.06 [257]P9(x2571,f8(x2571,f8(x2571,x2571,a1),a1),a1) % 0.91/1.06 [208]E(f6(f24(x2081),f27(f2(a1)),a1),f24(f27(x2081))) % 0.91/1.06 [209]E(f6(f15(x2091),f27(f2(a1)),a1),f15(f14(x2091))) % 0.91/1.06 [214]E(f6(f16(x2141,a1),f27(f2(a1)),a1),f16(f27(x2141),a1)) % 0.91/1.06 [215]E(f6(f16(x2151,a30),f27(f2(a1)),a1),f16(f14(x2151),a30)) % 0.91/1.06 [211]E(f8(x2111,x2112,a1),f8(x2112,x2111,a1)) % 0.91/1.06 [212]E(f6(x2121,x2122,a1),f6(x2122,x2121,a1)) % 0.91/1.06 [222]P9(x2221,f6(x2222,x2221,a1),a1) % 0.91/1.06 [224]P9(x2241,f6(x2241,x2242,a1),a1) % 0.91/1.06 [225]P9(f3(x2251,x2252,a1),x2251,a1) % 0.91/1.06 [229]P8(f3(x2291,x2292,a1),f27(x2291),a1) % 0.91/1.06 [274]~E(f14(x2741),f12(x2742)) % 0.91/1.06 [279]~P10(f12(x2791),x2792) % 0.91/1.06 [287]~P8(f6(x2871,x2872,a1),x2872,a1) % 0.91/1.06 [288]~P8(f6(x2881,x2882,a1),x2881,a1) % 0.91/1.06 [187]E(f17(f2(a1),x1871,x1872),x1871) % 0.91/1.06 [188]E(f19(f2(a1),x1881,x1882),x1881) % 0.91/1.06 [197]E(f20(f12(x1971),x1972,x1971),x1972) % 0.91/1.06 [216]E(f8(x2161,f2(a1),a1),f8(x2162,f2(a1),a1)) % 0.91/1.06 [217]E(f8(f2(a1),x2171,a1),f8(f2(a1),x2172,a1)) % 0.91/1.06 [219]E(f6(f27(x2191),x2192,a1),f6(x2191,f27(x2192),a1)) % 0.91/1.06 [220]E(f3(f27(x2201),f27(x2202),a1),f3(x2201,x2202,a1)) % 0.91/1.06 [226]E(f3(f6(x2261,x2262,a1),x2262,a1),x2261) % 0.91/1.06 [227]E(f3(f6(x2271,x2272,a1),x2271,a1),x2272) % 0.91/1.06 [228]E(f3(x2281,f6(x2281,x2282,a1),a1),f2(a1)) % 0.91/1.06 [230]P10(f13(f14(x2301),x2302),f20(x2301,x2302,f2(a1))) % 0.91/1.06 [231]E(f27(f6(x2311,x2312,a1)),f6(x2311,f27(x2312),a1)) % 0.91/1.06 [232]E(f27(f6(x2321,x2322,a1)),f6(f27(x2321),x2322,a1)) % 0.91/1.06 [233]E(f26(f27(x2331),f27(x2332),a1),f27(f26(x2331,x2332,a1))) % 0.91/1.06 [234]E(f25(f27(x2341),f27(x2342),a1),f27(f25(x2341,x2342,a1))) % 0.91/1.06 [236]E(f6(f3(x2361,x2362,a1),x2362,a1),f25(x2361,x2362,a1)) % 0.91/1.06 [237]E(f6(x2371,f8(x2371,x2372,a1),a1),f8(x2371,f27(x2372),a1)) % 0.91/1.06 [238]E(f6(x2381,f8(x2382,x2381,a1),a1),f8(f27(x2382),x2381,a1)) % 0.91/1.06 [240]E(f20(x2401,f17(f2(a1),x2402,f2(a1)),f2(a1)),f20(x2401,x2402,f2(a1))) % 0.91/1.06 [241]P8(x2411,f27(f6(x2412,x2411,a1)),a1) % 0.91/1.06 [243]P8(x2431,f27(f6(x2431,x2432,a1)),a1) % 0.91/1.06 [239]E(f6(f6(f15(x2391),f15(x2392),a1),f27(f2(a1)),a1),f15(f13(x2391,x2392))) % 0.91/1.06 [244]E(f6(f6(f16(x2441,a30),f16(x2442,a30),a1),f27(f2(a1)),a1),f16(f13(x2441,x2442),a30)) % 0.91/1.06 [275]~E(f12(x2751),f13(x2752,x2753)) % 0.91/1.06 [276]~E(f14(x2761),f13(x2762,x2763)) % 0.91/1.06 [277]~E(f13(x2771,x2772),f12(x2773)) % 0.91/1.06 [278]~E(f13(x2781,x2782),f14(x2783)) % 0.91/1.06 [207]E(f20(f18(x2071,x2072),x2073,x2072),x2071) % 0.91/1.06 [213]E(f13(f18(x2131,x2132),f18(x2133,x2132)),f18(f13(x2131,x2133),x2132)) % 0.91/1.06 [218]E(f21(f2(a1),x2181,x2182),f21(f2(a1),x2183,x2182)) % 0.91/1.06 [235]E(f18(f17(x2351,x2352,x2353),x2353),f17(f27(x2351),x2352,x2353)) % 0.91/1.06 [247]E(f6(x2471,f6(x2472,x2473,a1),a1),f6(x2472,f6(x2471,x2473,a1),a1)) % 0.91/1.06 [248]E(f3(f3(x2481,x2482,a1),x2483,a1),f3(x2481,f6(x2482,x2483,a1),a1)) % 0.91/1.06 [249]E(f8(f8(x2491,x2492,a1),x2493,a1),f8(x2491,f8(x2492,x2493,a1),a1)) % 0.91/1.06 [250]E(f6(f6(x2501,x2502,a1),x2503,a1),f6(x2501,f6(x2502,x2503,a1),a1)) % 0.91/1.06 [251]E(f3(f3(x2511,x2512,a1),x2513,a1),f3(f3(x2511,x2513,a1),x2512,a1)) % 0.91/1.06 [252]E(f3(f6(x2521,x2522,a1),f6(x2523,x2522,a1),a1),f3(x2521,x2523,a1)) % 0.91/1.06 [253]E(f3(f6(x2531,x2532,a1),f6(x2531,x2533,a1),a1),f3(x2532,x2533,a1)) % 0.91/1.06 [256]E(f3(f3(f27(x2561),x2562,a1),f27(x2563),a1),f3(f3(x2561,x2562,a1),x2563,a1)) % 0.91/1.06 [258]E(f3(f8(x2581,x2582,a1),f8(x2581,x2583,a1),a1),f8(x2581,f3(x2582,x2583,a1),a1)) % 0.91/1.06 [259]E(f6(f8(x2591,x2592,a1),f8(x2591,x2593,a1),a1),f8(x2591,f6(x2592,x2593,a1),a1)) % 0.91/1.06 [260]E(f3(f8(x2601,x2602,a1),f8(x2603,x2602,a1),a1),f8(f3(x2601,x2603,a1),x2602,a1)) % 0.91/1.06 [261]E(f6(f8(x2611,x2612,a1),f8(x2613,x2612,a1),a1),f8(f6(x2611,x2613,a1),x2612,a1)) % 0.91/1.06 [262]E(f26(f3(x2621,x2622,a1),f3(x2623,x2622,a1),a1),f3(f26(x2621,x2623,a1),x2622,a1)) % 0.91/1.06 [245]E(f13(f17(x2451,x2452,x2453),f17(x2451,x2454,x2453)),f17(x2451,f13(x2452,x2454),x2453)) % 0.91/1.06 [246]E(f13(f20(x2461,x2462,x2463),f20(x2464,x2462,x2463)),f20(f13(x2461,x2464),x2462,x2463)) % 0.91/1.06 [254]E(f19(x2541,f21(x2542,x2543,x2544),x2544),f21(f3(x2542,x2541,a1),x2543,x2544)) % 0.91/1.06 [255]E(f19(x2551,f19(x2552,x2553,x2554),x2554),f19(f6(x2551,x2552,a1),x2553,x2554)) % 0.91/1.06 [265]E(f6(f8(x2651,x2652,a1),f6(f8(x2653,x2652,a1),x2654,a1),a1),f6(f8(f6(x2651,x2653,a1),x2652,a1),x2654,a1)) % 0.91/1.06 [293]~P7(x2931)+P7(f14(x2931)) % 0.91/1.06 [295]~P62(x2951)+~E(f7(x2951),f2(x2951)) % 0.91/1.06 [327]E(x3271,f2(a1))+P8(f2(a1),x3271,a1) % 0.91/1.06 [372]~P33(x3721)+P8(f2(x3721),f7(x3721),x3721) % 0.91/1.06 [373]~P33(x3731)+P9(f2(x3731),f7(x3731),x3731) % 0.91/1.06 [399]E(x3991,f2(a1))+~P9(x3991,f2(a1),a1) % 0.91/1.06 [440]~P33(x4401)+~P8(f7(x4401),f2(x4401),x4401) % 0.91/1.06 [441]~P33(x4411)+~P9(f7(x4411),f2(x4411),x4411) % 0.91/1.06 [296]~P61(x2961)+E(f22(f2(a1),x2961),f2(x2961)) % 0.91/1.06 [298]~P26(x2981)+E(f10(f2(x2981),x2981),f2(x2981)) % 0.91/1.06 [299]~P22(x2991)+E(f10(f2(x2991),x2991),f2(x2991)) % 0.91/1.06 [300]~P39(x3001)+E(f4(f2(x3001),x3001),f2(x3001)) % 0.91/1.06 [301]~P40(x3011)+E(f4(f7(x3011),x3011),f7(x3011)) % 0.91/1.06 [302]~P48(x3021)+E(f9(f2(x3021),x3021),f2(x3021)) % 0.91/1.06 [303]~P63(x3031)+E(f9(f2(x3031),x3031),f2(x3031)) % 0.91/1.06 [375]~P23(x3751)+E(f6(f2(x3751),f2(x3751),x3751),f2(x3751)) % 0.91/1.06 [422]E(x4221,f2(a1))+~P8(x4221,f27(f2(a1)),a1) % 0.91/1.06 [627]~P33(x6271)+P8(f2(x6271),f6(f7(x6271),f7(x6271),x6271),x6271) % 0.91/1.06 [809]~P50(x8091)+E(f6(f8(f2(x8091),f2(x8091),x8091),f8(f2(x8091),f2(x8091),x8091),x8091),f2(x8091)) % 0.91/1.06 [1176]~P50(x11761)+P9(f6(f8(f2(x11761),f2(x11761),x11761),f8(f2(x11761),f2(x11761),x11761),x11761),f2(x11761),x11761) % 0.91/1.06 [1209]~P50(x12091)+~P8(f2(x12091),f6(f8(f2(x12091),f2(x12091),x12091),f8(f2(x12091),f2(x12091),x12091),x12091),x12091) % 0.91/1.06 [667]~P8(f2(a1),x6671,a1)+E(f27(f3(x6671,f27(f2(a1)),a1)),x6671) % 0.91/1.06 [330]~P31(x3302)+P9(x3301,x3301,x3302) % 0.91/1.06 [331]~P32(x3312)+P9(x3311,x3311,x3312) % 0.91/1.06 [332]~P34(x3322)+P11(x3321,x3321,x3322) % 0.91/1.06 [401]~P8(x4012,x4012,x4011)+~P3(x4011) % 0.91/1.06 [402]~P8(x4022,x4022,x4021)+~P31(x4021) % 0.91/1.06 [403]~P8(x4032,x4032,x4031)+~P32(x4031) % 0.91/1.06 [421]P9(x4212,x4211,a1)+P9(x4211,x4212,a1) % 0.91/1.06 [476]~P8(x4761,x4762,a1)+P9(x4761,x4762,a1) % 0.91/1.06 [290]E(x2901,x2902)+~E(f27(x2901),f27(x2902)) % 0.91/1.06 [291]E(x2911,x2912)+~E(f12(x2911),f12(x2912)) % 0.91/1.06 [292]E(x2921,x2922)+~E(f14(x2921),f14(x2922)) % 0.91/1.06 [305]~P7(x3051)+P7(f18(x3051,x3052)) % 0.91/1.06 [321]~P10(x3211,x3212)+P10(f14(x3211),f14(x3212)) % 0.91/1.06 [333]~P18(x3332)+E(f8(x3331,x3331,x3332),x3331) % 0.91/1.06 [334]~P3(x3342)+E(f26(x3341,x3341,x3342),x3341) % 0.91/1.06 [335]~P3(x3352)+E(f25(x3351,x3351,x3352),x3351) % 0.91/1.06 [338]~P22(x3382)+E(f3(x3381,x3381,x3382),f2(x3382)) % 0.91/1.06 [339]~P15(x3392)+E(f3(x3391,x3391,x3392),f2(x3392)) % 0.91/1.06 [340]~P34(x3402)+P11(x3401,f2(x3402),x3402) % 0.91/1.06 [341]~P28(x3411)+P9(f11(x3411),x3412,x3411) % 0.91/1.06 [342]~P34(x3421)+P11(f7(x3421),x3422,x3421) % 0.91/1.06 [388]~E(f6(x3882,x3881,a1),x3882)+E(x3881,f2(a1)) % 0.91/1.06 [393]E(x3931,f2(a1))+~E(f6(x3932,x3931,a1),f2(a1)) % 0.91/1.06 [394]E(x3941,f2(a1))+~E(f6(x3941,x3942,a1),f2(a1)) % 0.91/1.06 [405]~P33(x4051)+P9(f2(x4051),f22(x4052,x4051),x4051) % 0.91/1.06 [442]P8(x4421,x4422,a1)+P8(x4422,f27(x4421),a1) % 0.91/1.06 [444]P9(x4441,x4442,a1)+P9(f27(x4442),x4441,a1) % 0.91/1.06 [478]~P9(x4781,x4782,a1)+E(f3(x4781,x4782,a1),f2(a1)) % 0.91/1.06 [482]P9(x4821,x4822,a1)+~E(f3(x4821,x4822,a1),f2(a1)) % 0.91/1.06 [489]~P8(x4891,x4892,a1)+P8(x4891,f27(x4892),a1) % 0.91/1.06 [490]~P9(x4901,x4902,a1)+P8(x4901,f27(x4902),a1) % 0.91/1.06 [492]~P9(x4921,x4922,a1)+P9(x4921,f27(x4922),a1) % 0.91/1.06 [494]~P8(x4941,x4942,a1)+P9(f27(x4941),x4942,a1) % 0.91/1.06 [495]~P33(x4951)+~P8(f22(x4952,x4951),f2(x4951),x4951) % 0.91/1.06 [496]P9(x4961,x4962,a1)+~P8(x4961,f27(x4962),a1) % 0.91/1.06 [497]P8(x4971,x4972,a1)+~P8(f27(x4971),x4972,a1) % 0.91/1.06 [499]P8(x4991,x4992,a1)+~P9(f27(x4991),x4992,a1) % 0.91/1.06 [500]P9(x5001,x5002,a1)+~P9(f27(x5001),x5002,a1) % 0.91/1.06 [515]~P8(x5151,x5152,a1)+P8(f27(x5151),f27(x5152),a1) % 0.91/1.06 [516]~P9(x5161,x5162,a1)+P9(f27(x5161),f27(x5162),a1) % 0.91/1.06 [528]P8(x5281,x5282,a1)+~P8(f27(x5281),f27(x5282),a1) % 0.91/1.06 [529]P9(x5291,x5292,a1)+~P9(f27(x5291),f27(x5292),a1) % 0.91/1.06 [555]~P50(x5551)+P9(f2(x5551),f8(x5552,x5552,x5551),x5551) % 0.91/1.06 [560]~P8(x5601,x5602,a1)+~P8(x5602,f27(x5601),a1) % 0.91/1.06 [561]~P9(x5611,x5612,a1)+~P9(f27(x5612),x5611,a1) % 0.91/1.06 [711]~P8(x7112,x7111,a1)+P8(f2(a1),f3(x7111,x7112,a1),a1) % 0.91/1.06 [749]~P50(x7491)+~P8(f8(x7492,x7492,x7491),f2(x7491),x7491) % 0.91/1.06 [777]P8(x7771,x7772,a1)+~P8(f2(a1),f3(x7772,x7771,a1),a1) % 0.91/1.06 [778]P8(f2(a1),x7781,a1)+~P8(f2(a1),f8(x7782,x7781,a1),a1) % 0.91/1.06 [779]P8(f2(a1),x7791,a1)+~P8(f2(a1),f8(x7791,x7792,a1),a1) % 0.91/1.06 [317]~P22(x3172)+E(f10(f10(x3171,x3172),x3172),x3171) % 0.91/1.06 [318]~P12(x3182)+E(f10(f10(x3181,x3182),x3182),x3181) % 0.91/1.06 [329]~P48(x3292)+E(f9(f9(x3291,x3292),x3292),f9(x3291,x3292)) % 0.91/1.06 [343]~P22(x3432)+E(f3(x3431,f2(x3432),x3432),x3431) % 0.91/1.06 [344]~P34(x3442)+E(f8(x3441,f7(x3442),x3442),x3441) % 0.91/1.06 [345]~P20(x3452)+E(f8(x3451,f7(x3452),x3452),x3451) % 0.91/1.06 [346]~P34(x3462)+E(f6(x3461,f2(x3462),x3462),x3461) % 0.91/1.06 [347]~P5(x3472)+E(f6(x3471,f2(x3472),x3472),x3471) % 0.91/1.06 [348]~P21(x3482)+E(f6(x3481,f2(x3482),x3482),x3481) % 0.91/1.06 [349]~P43(x3492)+E(f5(x3491,f7(x3492),x3492),x3491) % 0.91/1.06 [351]~P34(x3511)+E(f8(f7(x3511),x3512,x3511),x3512) % 0.91/1.06 [352]~P4(x3521)+E(f8(f7(x3521),x3522,x3521),x3522) % 0.91/1.06 [353]~P20(x3531)+E(f8(f7(x3531),x3532,x3531),x3532) % 0.91/1.06 [355]~P34(x3551)+E(f6(f2(x3551),x3552,x3551),x3552) % 0.91/1.06 [356]~P5(x3561)+E(f6(f2(x3561),x3562,x3561),x3562) % 0.91/1.06 [357]~P21(x3571)+E(f6(f2(x3571),x3572,x3571),x3572) % 0.91/1.06 [358]~P2(x3582)+E(f28(x3581,f2(a1),x3582),f7(x3582)) % 0.91/1.06 [359]~P34(x3592)+E(f28(x3591,f2(a1),x3592),f7(x3592)) % 0.91/1.06 [362]~P34(x3622)+E(f8(x3621,f2(x3622),x3622),f2(x3622)) % 0.91/1.06 [363]~P47(x3632)+E(f8(x3631,f2(x3632),x3632),f2(x3632)) % 0.91/1.06 [364]~P57(x3642)+E(f8(x3641,f2(x3642),x3642),f2(x3642)) % 0.91/1.06 [366]~P34(x3661)+E(f8(f2(x3661),x3662,x3661),f2(x3661)) % 0.91/1.06 [367]~P47(x3671)+E(f8(f2(x3671),x3672,x3671),f2(x3671)) % 0.91/1.06 [368]~P57(x3681)+E(f8(f2(x3681),x3682,x3681),f2(x3681)) % 0.91/1.06 [369]~P20(x3691)+E(f28(f7(x3691),x3692,x3691),f7(x3691)) % 0.91/1.06 [370]~P43(x3701)+E(f5(f2(x3701),x3702,x3701),f2(x3701)) % 0.91/1.06 [380]~P43(x3801)+E(f5(f7(x3801),x3802,x3801),f4(x3802,x3801)) % 0.91/1.06 [381]~P22(x3811)+E(f3(f2(x3811),x3812,x3811),f10(x3812,x3811)) % 0.91/1.06 [395]~P22(x3952)+E(f6(x3951,f10(x3951,x3952),x3952),f2(x3952)) % 0.91/1.06 [397]~P22(x3972)+E(f6(f10(x3971,x3972),x3971,x3972),f2(x3972)) % 0.91/1.06 [398]~P15(x3982)+E(f6(f10(x3981,x3982),x3981,x3982),f2(x3982)) % 0.91/1.06 [417]E(x4171,f27(f2(a1)))+~E(f8(x4172,x4171,a1),f27(f2(a1))) % 0.91/1.06 [418]E(x4181,f27(f2(a1)))+~E(f8(x4181,x4182,a1),f27(f2(a1))) % 0.91/1.06 [430]~P8(x4301,x4302,a1)+E(f18(f12(x4301),x4302),f12(x4301)) % 0.91/1.06 [446]~P61(x4461)+E(f6(f7(x4461),f22(x4462,x4461),x4461),f22(f27(x4462),x4461)) % 0.91/1.06 [532]~P44(x5322)+E(f8(f10(x5321,x5322),f10(x5321,x5322),x5322),f8(x5321,x5321,x5322)) % 0.91/1.06 [577]~P33(x5772)+P8(x5771,f6(x5771,f7(x5772),x5772),x5772) % 0.91/1.06 [643]P8(x6432,x6431,a1)+E(f6(x6431,f3(x6432,x6431,a1),a1),x6432) % 0.91/1.06 [708]~P9(x7082,x7081,a1)+E(f3(x7081,f3(x7081,x7082,a1),a1),x7082) % 0.91/1.06 [709]~P9(x7091,x7092,a1)+E(f6(x7091,f3(x7092,x7091,a1),a1),x7092) % 0.91/1.06 [710]~P9(x7102,x7101,a1)+E(f6(f3(x7101,x7102,a1),x7102,a1),x7101) % 0.91/1.06 [717]~P9(x7172,x7171,a1)+E(f27(f3(x7171,x7172,a1)),f3(f27(x7171),x7172,a1)) % 0.91/1.06 [738]~P8(f2(a1),x7381,a1)+P8(f3(x7381,f27(x7382),a1),x7381,a1) % 0.91/1.06 [831]P9(f27(f2(a1)),x8311,a1)+~P9(f27(f2(a1)),f8(x8312,x8311,a1),a1) % 0.91/1.06 [832]P9(f27(f2(a1)),x8321,a1)+~P9(f27(f2(a1)),f8(x8321,x8322,a1),a1) % 0.91/1.06 [445]~P13(x4451)+E(f8(f10(f7(x4451),x4451),x4452,x4451),f10(x4452,x4451)) % 0.91/1.06 [713]~P34(x7132)+E(f6(x7131,x7131,x7132),f8(f6(f7(x7132),f7(x7132),x7132),x7131,x7132)) % 0.91/1.06 [389]~P10(x3891,x3893)+P10(f18(x3891,x3892),f18(x3893,x3892)) % 0.91/1.06 [390]~P10(x3901,x3903)+P10(f13(x3901,x3902),f13(x3903,x3902)) % 0.91/1.06 [391]~P10(x3912,x3913)+P10(f13(x3911,x3912),f13(x3911,x3913)) % 0.91/1.06 [452]~P34(x4523)+E(f8(x4521,x4522,x4523),f8(x4522,x4521,x4523)) % 0.91/1.06 [454]~P34(x4543)+E(f6(x4541,x4542,x4543),f6(x4542,x4541,x4543)) % 0.91/1.06 [455]~P5(x4553)+E(f6(x4551,x4552,x4553),f6(x4552,x4551,x4553)) % 0.91/1.06 [456]~P3(x4563)+E(f26(x4561,x4562,x4563),f26(x4562,x4561,x4563)) % 0.91/1.06 [457]~P3(x4573)+E(f25(x4571,x4572,x4573),f25(x4572,x4571,x4573)) % 0.91/1.06 [534]E(x5341,x5342)+~E(f6(x5343,x5341,a1),f6(x5343,x5342,a1)) % 0.91/1.06 [535]E(x5351,x5352)+~E(f6(x5351,x5353,a1),f6(x5352,x5353,a1)) % 0.91/1.06 [536]~P3(x5363)+P9(x5361,f25(x5362,x5361,x5363),x5363) % 0.91/1.06 [537]~P3(x5373)+P9(x5371,f25(x5371,x5372,x5373),x5373) % 0.91/1.06 [538]~P34(x5383)+P11(x5381,f8(x5382,x5381,x5383),x5383) % 0.91/1.06 [539]~P34(x5393)+P11(x5391,f8(x5391,x5392,x5393),x5393) % 0.91/1.06 [540]~P38(x5403)+P11(x5401,f8(x5401,x5402,x5403),x5403) % 0.91/1.06 [541]~P3(x5413)+P9(f26(x5411,x5412,x5413),x5412,x5413) % 0.91/1.06 [542]~P3(x5423)+P9(f26(x5421,x5422,x5423),x5421,x5423) % 0.91/1.06 [698]~P8(x6981,x6983,a1)+P8(x6981,f6(x6982,x6983,a1),a1) % 0.91/1.06 [700]~P8(x7001,x7002,a1)+P8(x7001,f6(x7002,x7003,a1),a1) % 0.91/1.06 [702]~P9(x7021,x7023,a1)+P9(x7021,f6(x7022,x7023,a1),a1) % 0.91/1.06 [704]~P9(x7041,x7042,a1)+P9(x7041,f6(x7042,x7043,a1),a1) % 0.91/1.06 [705]~P8(x7051,x7053,a1)+P8(f3(x7051,x7052,a1),x7053,a1) % 0.91/1.06 [772]P8(x7721,x7722,a1)+~P8(f6(x7721,x7723,a1),x7722,a1) % 0.91/1.06 [773]P9(x7731,x7732,a1)+~P9(f6(x7733,x7731,a1),x7732,a1) % 0.91/1.06 [774]P9(x7741,x7742,a1)+~P9(f6(x7741,x7743,a1),x7742,a1) % 0.91/1.06 [795]P9(f8(x7952,x7951,a1),f8(x7953,x7951,a1),a1)+P8(f2(a1),x7951,a1) % 0.91/1.06 [796]P9(f8(x7961,x7962,a1),f8(x7961,x7963,a1),a1)+P8(f2(a1),x7961,a1) % 0.91/1.06 [856]~P8(x8561,x8563,a1)+P8(f6(x8561,x8562,a1),f6(x8563,x8562,a1),a1) % 0.91/1.06 [857]~P8(x8572,x8573,a1)+P8(f6(x8571,x8572,a1),f6(x8571,x8573,a1),a1) % 0.91/1.06 [858]~P9(x8581,x8583,a1)+P9(f3(x8581,x8582,a1),f3(x8583,x8582,a1),a1) % 0.91/1.06 [859]~P9(x8593,x8592,a1)+P9(f3(x8591,x8592,a1),f3(x8591,x8593,a1),a1) % 0.91/1.06 [861]~P9(x8611,x8613,a1)+P9(f8(x8611,x8612,a1),f8(x8613,x8612,a1),a1) % 0.91/1.06 [863]~P9(x8632,x8633,a1)+P9(f8(x8631,x8632,a1),f8(x8631,x8633,a1),a1) % 0.91/1.06 [864]~P9(x8641,x8643,a1)+P9(f6(x8641,x8642,a1),f6(x8643,x8642,a1),a1) % 0.91/1.06 [865]~P9(x8652,x8653,a1)+P9(f6(x8651,x8652,a1),f6(x8651,x8653,a1),a1) % 0.91/1.06 [980]~P8(f6(x9801,x9803,a1),x9802,a1)+P8(x9801,f3(x9802,x9803,a1),a1) % 0.91/1.06 [981]~P9(f3(x9811,x9813,a1),x9812,a1)+P9(x9811,f6(x9812,x9813,a1),a1) % 0.91/1.06 [982]~P8(x9821,f3(x9823,x9822,a1),a1)+P8(f6(x9821,x9822,a1),x9823,a1) % 0.91/1.06 [983]~P9(x9831,f6(x9833,x9832,a1),a1)+P9(f3(x9831,x9832,a1),x9833,a1) % 0.91/1.06 [1060]P8(x10601,x10602,a1)+~P8(f8(x10603,x10601,a1),f8(x10603,x10602,a1),a1) % 0.91/1.06 [1061]P8(x10611,x10612,a1)+~P8(f8(x10611,x10613,a1),f8(x10612,x10613,a1),a1) % 0.91/1.06 [1062]P8(x10621,x10622,a1)+~P8(f6(x10623,x10621,a1),f6(x10623,x10622,a1),a1) % 0.91/1.06 [1063]P9(x10631,x10632,a1)+~P9(f6(x10633,x10631,a1),f6(x10633,x10632,a1),a1) % 0.91/1.06 [1066]~P8(f8(x10662,x10661,a1),f8(x10663,x10661,a1),a1)+P8(f2(a1),x10661,a1) % 0.91/1.06 [1067]~P8(f8(x10671,x10672,a1),f8(x10671,x10673,a1),a1)+P8(f2(a1),x10671,a1) % 0.91/1.06 [474]~P7(x4741)+P7(f20(x4741,f12(x4742),x4743)) % 0.91/1.06 [483]~P13(x4833)+E(f6(x4831,f10(x4832,x4833),x4833),f3(x4831,x4832,x4833)) % 0.91/1.06 [484]~P22(x4843)+E(f6(x4841,f10(x4842,x4843),x4843),f3(x4841,x4842,x4843)) % 0.91/1.06 [486]~P15(x4863)+E(f6(x4861,f10(x4862,x4863),x4863),f3(x4861,x4862,x4863)) % 0.91/1.06 [487]~P43(x4873)+E(f8(x4871,f4(x4872,x4873),x4873),f5(x4871,x4872,x4873)) % 0.91/1.06 [488]~P22(x4883)+E(f3(x4881,f10(x4882,x4883),x4883),f6(x4881,x4882,x4883)) % 0.91/1.06 [503]~P8(x5032,x5033,a1)+E(f17(x5031,f12(x5032),x5033),f12(x5032)) % 0.91/1.06 [504]~P8(x5041,x5043,a1)+E(f20(f12(x5041),x5042,x5043),f12(x5041)) % 0.91/1.06 [530]~P59(x5302)+E(f8(f10(x5301,x5302),x5303,x5302),f8(x5301,f10(x5303,x5302),x5302)) % 0.91/1.06 [531]~P59(x5312)+E(f8(f10(x5311,x5312),f10(x5313,x5312),x5312),f8(x5311,x5313,x5312)) % 0.91/1.06 [543]~P3(x5433)+E(f26(x5431,f25(x5431,x5432,x5433),x5433),x5431) % 0.91/1.06 [544]~P3(x5443)+E(f25(x5441,f26(x5441,x5442,x5443),x5443),x5441) % 0.91/1.06 [545]~P22(x5453)+E(f3(f6(x5451,x5452,x5453),x5452,x5453),x5451) % 0.91/1.06 [546]~P22(x5463)+E(f6(f3(x5461,x5462,x5463),x5462,x5463),x5461) % 0.91/1.06 [585]~P15(x5853)+E(f10(f3(x5851,x5852,x5853),x5853),f3(x5852,x5851,x5853)) % 0.91/1.06 [594]E(x5941,x5942)+~E(f8(f27(x5943),x5941,a1),f8(f27(x5943),x5942,a1)) % 0.91/1.06 [614]~P15(x6142)+E(f6(f10(x6141,x6142),f6(x6143,x6141,x6142),x6142),x6143) % 0.91/1.06 [615]~P22(x6152)+E(f6(f10(x6151,x6152),f6(x6151,x6153,x6152),x6152),x6153) % 0.91/1.06 [638]~P59(x6383)+E(f8(x6381,f10(x6382,x6383),x6383),f10(f8(x6381,x6382,x6383),x6383)) % 0.91/1.06 [639]~P59(x6392)+E(f8(f10(x6391,x6392),x6393,x6392),f10(f8(x6391,x6393,x6392),x6392)) % 0.91/1.06 [640]~P43(x6402)+E(f5(f10(x6401,x6402),x6403,x6402),f10(f5(x6401,x6403,x6402),x6402)) % 0.91/1.06 [666]P8(x6662,x6663,a1)+E(f17(x6661,f12(x6662),x6663),f12(f6(x6662,x6661,a1))) % 0.91/1.06 [668]~P18(x6683)+E(f8(x6681,f8(x6681,x6682,x6683),x6683),f8(x6681,x6682,x6683)) % 0.91/1.06 [669]~P3(x6693)+E(f26(x6691,f26(x6691,x6692,x6693),x6693),f26(x6691,x6692,x6693)) % 0.91/1.06 [670]~P3(x6703)+E(f25(x6701,f25(x6701,x6702,x6703),x6703),f25(x6701,x6702,x6703)) % 0.91/1.06 [674]~P2(x6743)+E(f8(x6741,f28(x6741,x6742,x6743),x6743),f28(x6741,f27(x6742),x6743)) % 0.91/1.06 [677]~P20(x6773)+E(f8(f28(x6771,x6772,x6773),x6771,x6773),f28(x6771,f27(x6772),x6773)) % 0.91/1.06 [678]~P34(x6783)+E(f8(x6781,f28(x6781,x6782,x6783),x6783),f28(x6781,f27(x6782),x6783)) % 0.91/1.06 [679]~P34(x6793)+E(f8(f28(x6791,x6792,x6793),x6791,x6793),f28(x6791,f27(x6792),x6793)) % 0.91/1.06 [682]~P61(x6822)+E(f8(f22(x6821,x6822),f22(x6823,x6822),x6822),f22(f8(x6821,x6823,a1),x6822)) % 0.91/1.06 [683]~P61(x6832)+E(f6(f22(x6831,x6832),f22(x6833,x6832),x6832),f22(f6(x6831,x6833,a1),x6832)) % 0.91/1.06 [685]~P22(x6852)+E(f6(f10(x6851,x6852),f10(x6853,x6852),x6852),f10(f6(x6853,x6851,x6852),x6852)) % 0.91/1.06 [686]~P15(x6862)+E(f6(f10(x6861,x6862),f10(x6863,x6862),x6862),f10(f6(x6861,x6863,x6862),x6862)) % 0.91/1.06 [687]~P48(x6872)+E(f8(f9(x6871,x6872),f9(x6873,x6872),x6872),f9(f8(x6871,x6873,x6872),x6872)) % 0.91/1.06 [770]~P44(x7702)+P11(f8(x7701,f2(x7702),x7702),f8(x7703,f2(x7702),x7702),x7702) % 0.91/1.06 [771]~P44(x7711)+P11(f8(f2(x7711),x7712,x7711),f8(f2(x7711),x7713,x7711),x7711) % 0.91/1.06 [823]~P20(x8233)+E(f8(f28(x8231,x8232,x8233),x8231,x8233),f8(x8231,f28(x8231,x8232,x8233),x8233)) % 0.91/1.06 [928]~P8(x9282,x9283,a1)+P8(f8(f27(x9281),x9282,a1),f8(f27(x9281),x9283,a1),a1) % 0.91/1.06 [958]~P9(x9582,x9583,a1)+E(f3(f6(x9581,x9582,a1),x9583,a1),f3(x9581,f3(x9583,x9582,a1),a1)) % 0.91/1.06 [960]~P9(x9603,x9602,a1)+E(f3(f6(x9601,x9602,a1),x9603,a1),f6(x9601,f3(x9602,x9603,a1),a1)) % 0.91/1.06 [962]~P9(x9623,x9621,a1)+E(f3(f6(x9621,x9622,a1),x9623,a1),f6(f3(x9621,x9623,a1),x9622,a1)) % 0.91/1.06 [992]~P60(x9921)+E(f8(f28(f10(f7(x9921),x9921),x9922,x9921),f28(x9923,x9922,x9921),x9921),f28(f10(x9923,x9921),x9922,x9921)) % 0.91/1.06 [1027]~P9(x10273,x10272,a1)+P9(x10271,f3(f6(x10272,x10271,a1),x10273,a1),a1) % 0.91/1.06 [1080]P9(x10801,x10802,a1)+~P9(f8(f27(x10803),x10801,a1),f8(f27(x10803),x10802,a1),a1) % 0.91/1.06 [1158]~P50(x11581)+P9(f2(x11581),f6(f8(x11582,x11582,x11581),f8(x11583,x11583,x11581),x11581),x11581) % 0.91/1.06 [1202]~P50(x12021)+~P8(f6(f8(x12022,x12022,x12021),f8(x12023,x12023,x12021),x12021),f2(x12021),x12021) % 0.91/1.06 [665]~P22(x6652)+E(f6(x6651,f6(f10(x6651,x6652),x6653,x6652),x6652),x6653) % 0.91/1.06 [852]~P34(x8523)+E(f6(x8521,f8(x8522,x8521,x8523),x8523),f8(f6(x8522,f7(x8523),x8523),x8521,x8523)) % 0.91/1.06 [853]~P34(x8533)+E(f6(f8(x8531,x8532,x8533),x8532,x8533),f8(f6(x8531,f7(x8533),x8533),x8532,x8533)) % 0.91/1.06 [1085]~P9(x10852,x10853,a1)+E(f3(f6(x10851,x10852,a1),f27(x10853),a1),f3(x10851,f27(f3(x10853,x10852,a1)),a1)) % 0.91/1.06 [1086]~P9(x10862,x10861,a1)+E(f3(f27(f3(x10861,x10862,a1)),x10863,a1),f3(f27(x10861),f6(x10862,x10863,a1),a1)) % 0.91/1.06 [312]E(x3121,x3122)+~E(f13(x3123,x3121),f13(x3124,x3122)) % 0.91/1.06 [313]E(x3131,x3132)+~E(f13(x3131,x3133),f13(x3132,x3134)) % 0.91/1.06 [716]~P10(x7161,x7164)+P10(f20(x7161,x7162,x7163),f20(x7164,x7162,x7163)) % 0.91/1.06 [807]~P34(x8073)+E(f28(f28(x8071,x8072,x8073),x8074,x8073),f28(x8071,f8(x8072,x8074,a1),x8073)) % 0.91/1.06 [808]~P20(x8083)+E(f28(f28(x8081,x8082,x8083),x8084,x8083),f28(x8081,f8(x8082,x8084,a1),x8083)) % 0.91/1.06 [811]~P34(x8114)+E(f8(x8111,f8(x8112,x8113,x8114),x8114),f8(x8112,f8(x8111,x8113,x8114),x8114)) % 0.91/1.06 [812]~P34(x8124)+E(f6(x8121,f6(x8122,x8123,x8124),x8124),f6(x8122,f6(x8121,x8123,x8124),x8124)) % 0.91/1.06 [813]~P5(x8134)+E(f6(x8131,f6(x8132,x8133,x8134),x8134),f6(x8132,f6(x8131,x8133,x8134),x8134)) % 0.91/1.06 [814]~P15(x8144)+E(f6(x8141,f6(x8142,x8143,x8144),x8144),f6(x8142,f6(x8141,x8143,x8144),x8144)) % 0.91/1.06 [815]~P3(x8154)+E(f26(x8151,f26(x8152,x8153,x8154),x8154),f26(x8152,f26(x8151,x8153,x8154),x8154)) % 0.91/1.06 [816]~P3(x8164)+E(f25(x8161,f25(x8162,x8163,x8164),x8164),f25(x8162,f25(x8161,x8163,x8164),x8164)) % 0.91/1.06 [821]~P34(x8213)+E(f8(f8(x8211,x8212,x8213),x8214,x8213),f8(x8211,f8(x8212,x8214,x8213),x8213)) % 0.91/1.06 [822]~P17(x8223)+E(f8(f8(x8221,x8222,x8223),x8224,x8223),f8(x8221,f8(x8222,x8224,x8223),x8223)) % 0.91/1.06 [824]~P34(x8243)+E(f6(f6(x8241,x8242,x8243),x8244,x8243),f6(x8241,f6(x8242,x8244,x8243),x8243)) % 0.91/1.06 [825]~P5(x8253)+E(f6(f6(x8251,x8252,x8253),x8254,x8253),f6(x8251,f6(x8252,x8254,x8253),x8253)) % 0.91/1.06 [826]~P14(x8263)+E(f6(f6(x8261,x8262,x8263),x8264,x8263),f6(x8261,f6(x8262,x8264,x8263),x8263)) % 0.91/1.06 [827]~P3(x8273)+E(f26(f26(x8271,x8272,x8273),x8274,x8273),f26(x8271,f26(x8272,x8274,x8273),x8273)) % 0.91/1.06 [828]~P3(x8283)+E(f25(f25(x8281,x8282,x8283),x8284,x8283),f25(x8281,f25(x8282,x8284,x8283),x8283)) % 0.91/1.06 [829]~P34(x8293)+E(f8(f8(x8291,x8292,x8293),x8294,x8293),f8(f8(x8291,x8294,x8293),x8292,x8293)) % 0.91/1.06 [830]~P34(x8303)+E(f6(f6(x8301,x8302,x8303),x8304,x8303),f6(f6(x8301,x8304,x8303),x8302,x8303)) % 0.91/1.06 [999]~P20(x9993)+E(f8(f28(x9991,x9992,x9993),f28(x9991,x9994,x9993),x9993),f28(x9991,f6(x9992,x9994,a1),x9993)) % 0.91/1.06 [1000]~P34(x10003)+E(f8(f28(x10001,x10002,x10003),f28(x10001,x10004,x10003),x10003),f28(x10001,f6(x10002,x10004,a1),x10003)) % 0.91/1.06 [1001]~P34(x10013)+E(f6(f8(x10011,x10012,x10013),f8(x10011,x10014,x10013),x10013),f8(x10011,f6(x10012,x10014,x10013),x10013)) % 0.91/1.06 [1002]~P3(x10023)+E(f25(f26(x10021,x10022,x10023),f26(x10021,x10024,x10023),x10023),f26(x10021,f25(x10022,x10024,x10023),x10023)) % 0.91/1.06 [1003]~P3(x10033)+E(f26(f25(x10031,x10032,x10033),f25(x10031,x10034,x10033),x10033),f25(x10031,f26(x10032,x10034,x10033),x10033)) % 0.91/1.06 [1004]~P27(x10043)+E(f26(f3(x10041,x10042,x10043),f3(x10044,x10042,x10043),x10043),f3(f26(x10041,x10044,x10043),x10042,x10043)) % 0.91/1.06 [1005]~P27(x10053)+E(f25(f3(x10051,x10052,x10053),f3(x10054,x10052,x10053),x10053),f3(f25(x10051,x10054,x10053),x10052,x10053)) % 0.91/1.06 [1007]~P35(x10073)+E(f6(f8(x10071,x10072,x10073),f8(x10074,x10072,x10073),x10073),f8(f6(x10071,x10074,x10073),x10072,x10073)) % 0.91/1.06 [1008]~P24(x10083)+E(f26(f6(x10081,x10082,x10083),f6(x10084,x10082,x10083),x10083),f6(f26(x10081,x10084,x10083),x10082,x10083)) % 0.91/1.06 [1009]~P24(x10093)+E(f25(f6(x10091,x10092,x10093),f6(x10094,x10092,x10093),x10093),f6(f25(x10091,x10094,x10093),x10092,x10093)) % 0.91/1.06 [1010]~P34(x10103)+E(f8(f28(x10101,x10102,x10103),f28(x10104,x10102,x10103),x10103),f28(f8(x10101,x10104,x10103),x10102,x10103)) % 0.91/1.06 [1011]~P4(x10113)+E(f8(f28(x10111,x10112,x10113),f28(x10114,x10112,x10113),x10113),f28(f8(x10111,x10114,x10113),x10112,x10113)) % 0.91/1.06 [1012]~P43(x10123)+E(f3(f5(x10121,x10122,x10123),f5(x10124,x10122,x10123),x10123),f5(f3(x10121,x10124,x10123),x10122,x10123)) % 0.91/1.06 [1013]~P43(x10133)+E(f6(f5(x10131,x10132,x10133),f5(x10134,x10132,x10133),x10133),f5(f6(x10131,x10134,x10133),x10132,x10133)) % 0.91/1.06 [1014]~P3(x10143)+E(f25(f26(x10141,x10142,x10143),f26(x10144,x10142,x10143),x10143),f26(f25(x10141,x10144,x10143),x10142,x10143)) % 0.91/1.06 [1015]~P3(x10153)+E(f26(f25(x10151,x10152,x10153),f25(x10154,x10152,x10153),x10153),f25(f26(x10151,x10154,x10153),x10152,x10153)) % 0.91/1.06 [1016]~P34(x10163)+E(f6(f8(x10161,x10162,x10163),f8(x10164,x10162,x10163),x10163),f8(f6(x10161,x10164,x10163),x10162,x10163)) % 0.91/1.06 [1198]~P3(x11984)+P9(f25(x11981,f26(x11982,x11983,x11984),x11984),f26(f25(x11981,x11982,x11984),f25(x11981,x11983,x11984),x11984),x11984) % 0.91/1.06 [1199]~P3(x11993)+P9(f25(f26(x11991,x11992,x11993),f26(x11991,x11994,x11993),x11993),f26(x11991,f25(x11992,x11994,x11993),x11993),x11993) % 0.91/1.06 [1211]~P9(x12111,x12113,a1)+E(f6(f8(x12111,x12112,a1),f6(f8(f3(x12113,x12111,a1),x12112,a1),x12114,a1),a1),f6(f8(x12113,x12112,a1),x12114,a1)) % 0.91/1.06 [552]E(x5521,x5522)+~E(f21(x5521,x5523,x5524),f21(x5522,x5525,x5524)) % 0.91/1.06 [1103]~P34(x11033)+E(f8(f8(x11031,x11032,x11033),f8(x11034,x11035,x11033),x11033),f8(f8(x11031,x11034,x11033),f8(x11032,x11035,x11033),x11033)) % 0.91/1.06 [1104]~P34(x11043)+E(f6(f6(x11041,x11042,x11043),f6(x11044,x11045,x11043),x11043),f6(f6(x11041,x11044,x11043),f6(x11042,x11045,x11043),x11043)) % 0.91/1.06 [1195]~P53(x11953)+E(f6(f8(x11951,x11952,x11953),f6(f8(x11954,x11952,x11953),x11955,x11953),x11953),f6(f8(f6(x11951,x11954,x11953),x11952,x11953),x11955,x11953)) % 0.91/1.06 [1208]~P59(x12083)+E(f6(f8(x12081,x12082,x12083),f6(f8(f3(x12084,x12081,x12083),x12082,x12083),x12085,x12083),x12083),f6(f8(x12084,x12082,x12083),x12085,x12083)) % 0.91/1.06 [1214]~P9(x12141,x12144,a1)+E(f3(f6(f8(x12141,x12142,a1),x12143,a1),f6(f8(x12144,x12142,a1),x12145,a1),a1),f3(x12143,f6(f8(f3(x12144,x12141,a1),x12142,a1),x12145,a1),a1)) % 0.91/1.06 [1215]~P9(x12154,x12151,a1)+E(f3(f6(f8(x12151,x12152,a1),x12153,a1),f6(f8(x12154,x12152,a1),x12155,a1),a1),f3(f6(f8(f3(x12151,x12154,a1),x12152,a1),x12153,a1),x12155,a1)) % 0.91/1.06 [307]~P43(x3071)+~P39(x3071)+E(f4(f7(x3071),x3071),f7(x3071)) % 0.91/1.06 [587]~P29(x5871)+~P9(f2(x5871),f2(x5871),x5871)+E(f6(f2(x5871),f2(x5871),x5871),f2(x5871)) % 0.91/1.06 [434]E(x4341,x4342)+P8(x4342,x4341,a1)+P8(x4341,x4342,a1) % 0.91/1.06 [481]E(x4811,x4812)+P8(x4811,x4812,a1)+~P9(x4811,x4812,a1) % 0.91/1.06 [547]E(x5471,x5472)+~P9(x5472,x5471,a1)+~P9(x5471,x5472,a1) % 0.91/1.06 [304]~P26(x3042)+~E(f10(x3041,x3042),x3041)+E(x3041,f2(x3042)) % 0.91/1.06 [308]~P22(x3082)+~E(f10(x3081,x3082),f2(x3082))+E(x3081,f2(x3082)) % 0.91/1.06 [309]~P40(x3092)+~E(f4(x3091,x3092),f2(x3092))+E(x3091,f2(x3092)) % 0.91/1.06 [310]~P48(x3102)+~E(f9(x3101,x3102),f2(x3102))+E(x3101,f2(x3102)) % 0.91/1.06 [311]~P22(x3111)+~E(f10(x3112,x3111),f2(x3111))+E(f2(x3111),x3112) % 0.91/1.06 [361]~P43(x3612)+E(f5(x3611,x3611,x3612),f7(x3612))+E(x3611,f2(x3612)) % 0.91/1.06 [371]~P13(x3712)+~P44(x3712)+E(f3(x3711,x3711,x3712),f2(x3712)) % 0.91/1.06 [407]E(x4071,f2(a1))+E(x4072,f2(a1))+~E(f8(x4072,x4071,a1),f2(a1)) % 0.91/1.06 [408]~P48(x4081)+P8(f2(x4081),x4082,x4081)+~E(f9(x4082,x4081),f7(x4081)) % 0.91/1.06 [419]~P23(x4192)+~E(f6(x4191,x4191,x4192),f2(x4192))+E(x4191,f2(x4192)) % 0.91/1.06 [431]~P34(x4312)+~P11(f2(x4312),x4311,x4312)+E(x4311,f2(x4312)) % 0.91/1.06 [469]~P48(x4692)+~P8(f2(x4692),x4691,x4692)+E(f9(x4691,x4692),f7(x4692)) % 0.91/1.06 [505]~P8(x5051,x5052,a1)+E(f27(x5051),x5052)+P8(f27(x5051),x5052,a1) % 0.91/1.06 [506]E(x5061,x5062)+P8(x5062,x5061,a1)+~P8(x5062,f27(x5061),a1) % 0.91/1.06 [508]E(x5081,x5082)+P8(x5081,x5082,a1)+~P8(x5081,f27(x5082),a1) % 0.91/1.06 [527]P9(x5271,x5272,a1)+E(x5271,f27(x5272))+~P9(x5271,f27(x5272),a1) % 0.91/1.06 [559]E(x5591,x5592)+~E(f3(x5592,x5591,a1),f2(a1))+~E(f3(x5591,x5592,a1),f2(a1)) % 0.91/1.06 [563]E(x5631,x5632)+~P9(x5632,x5631,a1)+~P8(x5631,f27(x5632),a1) % 0.91/1.06 [586]~P33(x5861)+P8(f2(x5861),f22(x5862,x5861),x5861)+~P8(f2(a1),x5862,a1) % 0.91/1.06 [588]~P48(x5882)+~P8(x5881,f2(x5882),x5882)+P8(x5881,f10(x5881,x5882),x5882) % 0.91/1.06 [589]~P23(x5892)+~P9(x5891,f2(x5892),x5892)+P9(x5891,f10(x5891,x5892),x5892) % 0.91/1.06 [590]~P26(x5902)+~P9(x5901,f2(x5902),x5902)+P9(x5901,f10(x5901,x5902),x5902) % 0.91/1.06 [591]~P23(x5912)+~P9(f2(x5912),x5911,x5912)+P9(f10(x5911,x5912),x5911,x5912) % 0.91/1.06 [592]~P26(x5922)+~P9(f2(x5922),x5921,x5922)+P9(f10(x5921,x5922),x5921,x5922) % 0.91/1.06 [599]~P27(x5991)+~P8(x5992,f2(x5991),x5991)+P8(f2(x5991),f10(x5992,x5991),x5991) % 0.91/1.06 [600]~P27(x6001)+~P9(x6002,f2(x6001),x6001)+P9(f2(x6001),f10(x6002,x6001),x6001) % 0.91/1.06 [601]~P49(x6011)+~P8(f2(x6011),x6012,x6011)+P8(f2(x6011),f4(x6012,x6011),x6011) % 0.91/1.06 [602]~P48(x6021)+~P8(f2(x6021),x6022,x6021)+P8(f2(x6021),f9(x6022,x6021),x6021) % 0.91/1.06 [603]~P49(x6032)+~P8(x6031,f2(x6032),x6032)+P8(f4(x6031,x6032),f2(x6032),x6032) % 0.91/1.06 [604]~P48(x6042)+~P8(x6041,f2(x6042),x6042)+P8(f9(x6041,x6042),f2(x6042),x6042) % 0.91/1.06 [605]~P27(x6052)+~P8(f2(x6052),x6051,x6052)+P8(f10(x6051,x6052),f2(x6052),x6052) % 0.91/1.06 [606]~P27(x6062)+~P9(f2(x6062),x6061,x6062)+P9(f10(x6061,x6062),f2(x6062),x6062) % 0.91/1.06 [609]~P48(x6092)+~P8(x6091,f10(x6091,x6092),x6092)+P8(x6091,f2(x6092),x6092) % 0.91/1.06 [610]~P23(x6102)+~P9(x6101,f10(x6101,x6102),x6102)+P9(x6101,f2(x6102),x6102) % 0.91/1.06 [611]~P26(x6112)+~P9(x6111,f10(x6111,x6112),x6112)+P9(x6111,f2(x6112),x6112) % 0.91/1.06 [612]~P23(x6121)+~P9(f10(x6122,x6121),x6122,x6121)+P9(f2(x6121),x6122,x6121) % 0.91/1.06 [613]~P26(x6131)+~P9(f10(x6132,x6131),x6132,x6131)+P9(f2(x6131),x6132,x6131) % 0.91/1.06 [630]~P33(x6302)+~P8(f2(x6302),f22(x6301,x6302),x6302)+P8(f2(a1),x6301,a1) % 0.91/1.06 [632]~P27(x6322)+~P8(f2(x6322),f10(x6321,x6322),x6322)+P8(x6321,f2(x6322),x6322) % 0.91/1.06 [633]~P27(x6332)+~P9(f2(x6332),f10(x6331,x6332),x6332)+P9(x6331,f2(x6332),x6332) % 0.91/1.06 [634]~P48(x6342)+~P8(f9(x6341,x6342),f2(x6342),x6342)+P8(x6341,f2(x6342),x6342) % 0.91/1.06 [635]~P48(x6351)+~P8(f2(x6351),f9(x6352,x6351),x6351)+P8(f2(x6351),x6352,x6351) % 0.91/1.06 [636]~P27(x6361)+~P8(f10(x6362,x6361),f2(x6361),x6361)+P8(f2(x6361),x6362,x6361) % 0.91/1.06 [637]~P27(x6371)+~P9(f10(x6372,x6371),f2(x6371),x6371)+P9(f2(x6371),x6372,x6371) % 0.91/1.06 [741]~P23(x7411)+~P8(f2(x7411),x7412,x7411)+P8(f2(x7411),f6(x7412,x7412,x7411),x7411) % 0.91/1.06 [743]~P23(x7431)+~P9(f2(x7431),x7432,x7431)+P9(f2(x7431),f6(x7432,x7432,x7431),x7431) % 0.91/1.06 [746]~P23(x7462)+~P8(x7461,f2(x7462),x7462)+P8(f6(x7461,x7461,x7462),f2(x7462),x7462) % 0.91/1.06 [747]~P48(x7472)+~P8(x7471,f2(x7472),x7472)+P8(f6(x7471,x7471,x7472),f2(x7472),x7472) % 0.91/1.06 [748]~P23(x7482)+~P9(x7481,f2(x7482),x7482)+P9(f6(x7481,x7481,x7482),f2(x7482),x7482) % 0.91/1.06 [833]~P23(x8332)+~P8(f6(x8331,x8331,x8332),f2(x8332),x8332)+P8(x8331,f2(x8332),x8332) % 0.91/1.06 [834]~P48(x8342)+~P8(f6(x8341,x8341,x8342),f2(x8342),x8342)+P8(x8341,f2(x8342),x8342) % 0.91/1.06 [835]~P23(x8352)+~P9(f6(x8351,x8351,x8352),f2(x8352),x8352)+P9(x8351,f2(x8352),x8352) % 0.91/1.06 [836]~P23(x8361)+~P8(f2(x8361),f6(x8362,x8362,x8361),x8361)+P8(f2(x8361),x8362,x8361) % 0.91/1.06 [837]~P23(x8371)+~P9(f2(x8371),f6(x8372,x8372,x8371),x8371)+P9(f2(x8371),x8372,x8371) % 0.91/1.06 [838]P8(f3(x8381,x8382,a1),x8381,a1)+~P8(f2(a1),x8382,a1)+~P8(f2(a1),x8381,a1) % 0.91/1.06 [841]~P8(f2(a1),x8412,a1)+~P8(f2(a1),x8411,a1)+P8(f2(a1),f8(x8411,x8412,a1),a1) % 0.91/1.06 [892]P8(f2(a1),x8921,a1)+P8(f2(a1),x8922,a1)+~P8(f2(a1),f6(x8921,x8922,a1),a1) % 0.91/1.06 [322]~P40(x3222)+E(x3221,f2(x3222))+E(f4(f4(x3221,x3222),x3222),x3221) % 0.91/1.06 [326]~P39(x3262)+~P40(x3262)+E(f4(f4(x3261,x3262),x3262),x3261) % 0.91/1.06 [374]~P13(x3742)+~P44(x3742)+E(f6(x3741,f2(x3742),x3742),x3741) % 0.91/1.06 [379]~P43(x3792)+~P39(x3792)+E(f5(x3791,f2(x3792),x3792),f2(x3792)) % 0.91/1.06 [384]~P1(x3841)+~P2(x3841)+E(f28(f2(x3841),f27(x3842),x3841),f2(x3841)) % 0.91/1.06 [400]~P40(x4002)+E(x4001,f2(x4002))+E(f4(f10(x4001,x4002),x4002),f10(f4(x4001,x4002),x4002)) % 0.91/1.06 [406]~P39(x4062)+~P40(x4062)+E(f4(f10(x4061,x4062),x4062),f10(f4(x4061,x4062),x4062)) % 0.91/1.06 [409]~P40(x4092)+E(x4091,f2(x4092))+E(f8(x4091,f4(x4091,x4092),x4092),f7(x4092)) % 0.91/1.06 [410]~P43(x4102)+E(x4101,f2(x4102))+E(f8(f4(x4101,x4102),x4101,x4102),f7(x4102)) % 0.91/1.06 [411]~P40(x4112)+E(x4111,f2(x4112))+E(f8(f4(x4111,x4112),x4111,x4112),f7(x4112)) % 0.91/1.06 [416]E(x4161,f2(a1))+E(x4162,f2(a1))+~E(f6(x4162,x4161,a1),f27(f2(a1))) % 0.91/1.06 [425]E(x4251,f2(a1))+E(x4251,f27(f2(a1)))+~E(f6(x4252,x4251,a1),f27(f2(a1))) % 0.91/1.06 [426]E(x4261,f2(a1))+E(x4261,f27(f2(a1)))+~E(f6(x4261,x4262,a1),f27(f2(a1))) % 0.91/1.06 [439]E(x4391,f27(f2(a1)))+E(x4392,f27(f2(a1)))+~E(f6(x4392,x4391,a1),f27(f2(a1))) % 0.91/1.06 [470]~P48(x4702)+P8(x4701,f2(x4702),x4702)+~E(f9(x4701,x4702),f10(f7(x4702),x4702)) % 0.91/1.06 [477]~P48(x4772)+~P8(x4771,f2(x4772),x4772)+E(f9(x4771,x4772),f10(f7(x4772),x4772)) % 0.91/1.06 [890]P8(x8901,f8(x8902,x8901,a1),a1)+~P8(f27(f2(a1)),x8902,a1)+~P8(f27(f2(a1)),x8901,a1) % 0.91/1.06 [891]P8(x8911,f8(x8911,x8912,a1),a1)+~P8(f27(f2(a1)),x8912,a1)+~P8(f27(f2(a1)),x8911,a1) % 0.91/1.06 [942]~P8(f27(f2(a1)),x9422,a1)+~P8(f27(f2(a1)),x9421,a1)+P8(f27(f2(a1)),f8(x9421,x9422,a1),a1) % 0.91/1.06 [943]~P9(f27(f2(a1)),x9432,a1)+~P9(f27(f2(a1)),x9431,a1)+P9(f27(f2(a1)),f8(x9431,x9432,a1),a1) % 0.91/1.06 [608]~P43(x6081)+~P39(x6081)+E(f5(f8(f2(x6081),x6082,x6081),x6082,x6081),f2(x6081)) % 0.91/1.06 [460]P9(x4602,x4601,x4603)+~P3(x4603)+P8(x4601,x4602,x4603) % 0.91/1.06 [462]P9(x4622,x4621,x4623)+~P3(x4623)+P9(x4621,x4622,x4623) % 0.91/1.06 [501]~P31(x5013)+~P8(x5011,x5012,x5013)+P9(x5011,x5012,x5013) % 0.91/1.06 [502]~P32(x5023)+~P8(x5021,x5022,x5023)+P9(x5021,x5022,x5023) % 0.91/1.06 [564]~P8(x5643,x5642,x5641)+~P3(x5641)+~P8(x5642,x5643,x5641) % 0.91/1.06 [566]~P9(x5663,x5662,x5661)+~P3(x5661)+~P8(x5662,x5663,x5661) % 0.91/1.06 [569]~P8(x5693,x5692,x5691)+~P31(x5691)+~P8(x5692,x5693,x5691) % 0.91/1.06 [570]~P9(x5703,x5702,x5701)+~P31(x5701)+~P8(x5702,x5703,x5701) % 0.91/1.06 [571]~P8(x5713,x5712,x5711)+~P32(x5711)+~P8(x5712,x5713,x5711) % 0.91/1.06 [664]~P9(x6641,x6643,a1)+P9(x6641,x6642,a1)+~P9(x6643,x6642,a1) % 0.91/1.06 [323]~P22(x3233)+E(x3231,x3232)+~E(f10(x3231,x3233),f10(x3232,x3233)) % 0.91/1.06 [324]~P12(x3243)+E(x3241,x3242)+~E(f10(x3241,x3243),f10(x3242,x3243)) % 0.91/1.06 [325]~P6(x3253)+E(x3251,x3252)+~E(f22(x3251,x3253),f22(x3252,x3253)) % 0.91/1.06 [413]~P22(x4133)+E(x4131,x4132)+~E(f3(x4131,x4132,x4133),f2(x4133)) % 0.91/1.06 [414]~P15(x4143)+E(x4141,x4142)+~E(f3(x4141,x4142,x4143),f2(x4143)) % 0.91/1.06 [420]~P58(x4202)+~E(f28(x4201,x4203,x4202),f2(x4202))+E(x4201,f2(x4202)) % 0.91/1.06 [447]~P22(x4473)+~E(f6(x4471,x4472,x4473),f2(x4473))+E(x4471,f10(x4472,x4473)) % 0.91/1.06 [448]~P22(x4482)+~E(f6(x4481,x4483,x4482),f2(x4482))+E(f10(x4481,x4482),x4483) % 0.91/1.06 [449]~P40(x4492)+~E(f8(x4491,x4493,x4492),f7(x4492))+E(f4(x4491,x4492),x4493) % 0.91/1.06 [509]~P3(x5093)+~P9(x5092,x5091,x5093)+E(f26(x5091,x5092,x5093),x5092) % 0.91/1.06 [510]~P3(x5103)+~P9(x5101,x5102,x5103)+E(f26(x5101,x5102,x5103),x5101) % 0.91/1.06 [511]~P3(x5113)+~P9(x5111,x5112,x5113)+E(f25(x5111,x5112,x5113),x5112) % 0.91/1.06 [512]~P3(x5123)+~P9(x5122,x5121,x5123)+E(f25(x5121,x5122,x5123),x5121) % 0.91/1.06 [517]~P3(x5173)+P9(x5171,x5172,x5173)+~E(f26(x5171,x5172,x5173),x5171) % 0.91/1.06 [518]~P3(x5183)+P9(x5181,x5182,x5183)+~E(f25(x5181,x5182,x5183),x5182) % 0.91/1.06 [549]E(x5491,x5492)+~E(f8(x5493,x5491,a1),f8(x5493,x5492,a1))+E(x5493,f2(a1)) % 0.91/1.06 [550]E(x5501,x5502)+~E(f8(x5501,x5503,a1),f8(x5502,x5503,a1))+E(x5503,f2(a1)) % 0.91/1.06 [553]~P36(x5533)+~P11(x5531,x5532,x5533)+P11(x5531,f10(x5532,x5533),x5533) % 0.91/1.06 [554]~P36(x5542)+~P11(x5541,x5543,x5542)+P11(f10(x5541,x5542),x5543,x5542) % 0.91/1.06 [596]~P36(x5963)+P11(x5961,x5962,x5963)+~P11(x5961,f10(x5962,x5963),x5963) % 0.91/1.06 [597]~P36(x5973)+P11(x5971,x5972,x5973)+~P11(f10(x5971,x5973),x5972,x5973) % 0.91/1.06 [625]~P33(x6252)+~P8(x6251,x6253,a1)+P8(f22(x6251,x6252),f22(x6253,x6252),x6252) % 0.91/1.06 [626]~P33(x6262)+~P9(x6261,x6263,a1)+P9(f22(x6261,x6262),f22(x6263,x6262),x6262) % 0.91/1.06 [628]~P27(x6282)+~P8(x6283,x6281,x6282)+P8(f10(x6281,x6282),f10(x6283,x6282),x6282) % 0.91/1.06 [629]~P27(x6292)+~P9(x6293,x6291,x6292)+P9(f10(x6291,x6292),f10(x6293,x6292),x6292) % 0.91/1.06 [655]~P27(x6553)+~P8(x6552,f10(x6551,x6553),x6553)+P8(x6551,f10(x6552,x6553),x6553) % 0.91/1.06 [657]~P27(x6573)+~P9(x6572,f10(x6571,x6573),x6573)+P9(x6571,f10(x6572,x6573),x6573) % 0.91/1.06 [659]~P27(x6592)+~P8(f10(x6593,x6592),x6591,x6592)+P8(f10(x6591,x6592),x6593,x6592) % 0.91/1.06 [661]~P27(x6612)+~P9(f10(x6613,x6612),x6611,x6612)+P9(f10(x6611,x6612),x6613,x6612) % 0.91/1.06 [671]~P8(x6711,x6713,a1)+~P8(x6713,x6712,a1)+P8(f27(x6711),x6712,a1) % 0.91/1.06 [672]~P33(x6723)+~P8(f22(x6721,x6723),f22(x6722,x6723),x6723)+P8(x6721,x6722,a1) % 0.91/1.06 [673]~P33(x6733)+~P9(f22(x6731,x6733),f22(x6732,x6733),x6733)+P9(x6731,x6732,a1) % 0.91/1.06 [680]~P27(x6803)+P8(x6801,x6802,x6803)+~P8(f10(x6802,x6803),f10(x6801,x6803),x6803) % 0.91/1.06 [681]~P27(x6813)+P9(x6811,x6812,x6813)+~P9(f10(x6812,x6813),f10(x6811,x6813),x6813) % 0.91/1.06 [736]E(x7361,x7362)+~E(f8(x7363,x7361,a1),f8(x7363,x7362,a1))+~P8(f2(a1),x7363,a1) % 0.91/1.06 [737]~P34(x7373)+P11(x7371,f28(x7371,x7372,x7373),x7373)+~P8(f2(a1),x7372,a1) % 0.91/1.06 [739]~P27(x7393)+~P8(x7391,x7392,x7393)+P8(f3(x7391,x7392,x7393),f2(x7393),x7393) % 0.91/1.06 [740]~P27(x7403)+~P9(x7401,x7402,x7403)+P9(f3(x7401,x7402,x7403),f2(x7403),x7403) % 0.91/1.06 [742]~P33(x7421)+~P8(f2(x7421),x7422,x7421)+P8(f2(x7421),f28(x7422,x7423,x7421),x7421) % 0.91/1.06 [744]~P33(x7441)+~P9(f2(x7441),x7442,x7441)+P9(f2(x7441),f28(x7442,x7443,x7441),x7441) % 0.91/1.06 [745]~P33(x7451)+~P9(f7(x7451),x7452,x7451)+P9(f7(x7451),f28(x7452,x7453,x7451),x7451) % 0.91/1.06 [775]~P23(x7753)+~P9(x7751,f10(x7752,x7753),x7753)+P9(f6(x7751,x7752,x7753),f2(x7753),x7753) % 0.91/1.06 [801]~P27(x8013)+P8(x8011,x8012,x8013)+~P8(f3(x8011,x8012,x8013),f2(x8013),x8013) % 0.91/1.06 [802]~P27(x8023)+P9(x8021,x8022,x8023)+~P9(f3(x8021,x8022,x8023),f2(x8023),x8023) % 0.91/1.06 [810]~P9(x8101,x8102,a1)+P8(x8101,f6(x8102,x8103,a1),a1)+~P8(f2(a1),x8103,a1) % 0.91/1.06 [867]~P23(x8673)+~P9(f6(x8671,x8672,x8673),f2(x8673),x8673)+P9(x8671,f10(x8672,x8673),x8673) % 0.91/1.06 [987]~P8(x9871,x9873,a1)+~P9(x9872,x9871,a1)+P8(f3(x9871,x9872,a1),f3(x9873,x9872,a1),a1) % 0.91/1.06 [988]~P8(x9883,x9882,a1)+~P8(x9883,x9881,a1)+P8(f3(x9881,x9882,a1),f3(x9881,x9883,a1),a1) % 0.91/1.06 [994]~P8(x9941,x9943,a1)+P8(f8(x9941,x9942,a1),f8(x9943,x9942,a1),a1)+~P8(f2(a1),x9942,a1) % 0.91/1.06 [997]~P8(x9972,x9973,a1)+P8(f8(x9971,x9972,a1),f8(x9971,x9973,a1),a1)+~P8(f2(a1),x9971,a1) % 0.91/1.06 [1074]~P9(x10743,x10742,a1)+~P9(f6(x10741,x10743,a1),x10742,a1)+P9(x10741,f3(x10742,x10743,a1),a1) % 0.91/1.06 [1075]~P9(x10752,x10753,a1)+~P9(x10751,f3(x10753,x10752,a1),a1)+P9(f6(x10751,x10752,a1),x10753,a1) % 0.91/1.06 [1119]P9(x11191,x11192,a1)+~P9(f8(x11193,x11191,a1),f8(x11193,x11192,a1),a1)+~P8(f2(a1),x11193,a1) % 0.91/1.06 [1120]P9(x11201,x11202,a1)+~P9(f8(x11201,x11203,a1),f8(x11202,x11203,a1),a1)+~P8(f2(a1),x11203,a1) % 0.91/1.06 [468]E(x4681,x4682)+P8(x4682,x4681,a1)+E(f20(f12(x4681),x4683,x4682),f12(x4681)) % 0.91/1.06 [551]~P43(x5512)+E(x5511,f2(x5512))+E(f5(f10(x5513,x5512),f10(x5511,x5512),x5512),f5(x5513,x5511,x5512)) % 0.91/1.06 [557]~P43(x5572)+E(x5571,f2(x5572))+E(f5(f8(x5573,x5571,x5572),x5571,x5572),x5573) % 0.91/1.06 [558]~P43(x5582)+~P39(x5582)+E(f5(f10(x5581,x5582),f10(x5583,x5582),x5582),f5(x5581,x5583,x5582)) % 0.91/1.06 [598]~P43(x5983)+~P39(x5983)+E(f4(f5(x5981,x5982,x5983),x5983),f5(x5982,x5981,x5983)) % 0.91/1.06 [652]~P43(x6522)+E(x6521,f2(x6522))+E(f5(x6523,f10(x6521,x6522),x6522),f10(f5(x6523,x6521,x6522),x6522)) % 0.91/1.06 [653]~P40(x6532)+E(x6531,f2(x6532))+E(f28(f4(x6531,x6532),x6533,x6532),f4(f28(x6531,x6533,x6532),x6532)) % 0.91/1.06 [662]~P43(x6623)+~P39(x6623)+E(f5(x6621,f10(x6622,x6623),x6623),f10(f5(x6621,x6622,x6623),x6623)) % 0.91/1.06 [663]~P39(x6632)+~P40(x6632)+E(f28(f4(x6631,x6632),x6633,x6632),f4(f28(x6631,x6633,x6632),x6632)) % 0.91/1.06 [706]~P43(x7062)+~P39(x7062)+E(f8(f4(x7061,x7062),f4(x7063,x7062),x7062),f4(f8(x7061,x7063,x7062),x7062)) % 0.91/1.06 [754]~P33(x7541)+~P8(f7(x7541),x7542,x7541)+P8(f7(x7541),f28(x7542,f27(x7543),x7541),x7541) % 0.91/1.06 [780]~P60(x7802)+~P9(x7803,x7801,a1)+E(f3(f22(x7801,x7802),f22(x7803,x7802),x7802),f22(f3(x7801,x7803,a1),x7802)) % 0.91/1.06 [1017]~P50(x10172)+E(x10171,f2(x10172))+~E(f6(f8(x10173,x10173,x10172),f8(x10171,x10171,x10172),x10172),f2(x10172)) % 0.91/1.06 [1018]~P50(x10182)+E(x10181,f2(x10182))+~E(f6(f8(x10181,x10181,x10182),f8(x10183,x10183,x10182),x10182),f2(x10182)) % 0.91/1.06 [1068]~P9(x10682,x10683,a1)+~P9(x10682,x10681,a1)+E(f3(f3(x10681,x10682,a1),f3(x10683,x10682,a1),a1),f3(x10681,x10683,a1)) % 0.91/1.06 [1073]~P33(x10731)+~P8(f7(x10731),x10732,x10731)+P8(f7(x10731),f8(x10732,f28(x10732,x10733,x10731),x10731),x10731) % 0.91/1.06 [1141]~P33(x11413)+~P8(f7(x11413),x11411,x11413)+P8(f28(x11411,x11412,x11413),f8(x11411,f28(x11411,x11412,x11413),x11413),x11413) % 0.91/1.06 [1159]~P50(x11592)+E(x11591,f2(x11592))+P8(f2(x11592),f6(f8(x11593,x11593,x11592),f8(x11591,x11591,x11592),x11592),x11592) % 0.91/1.06 [1160]~P50(x11602)+E(x11601,f2(x11602))+P8(f2(x11602),f6(f8(x11601,x11601,x11602),f8(x11603,x11603,x11602),x11602),x11602) % 0.91/1.06 [1203]~P50(x12032)+E(x12031,f2(x12032))+~P9(f6(f8(x12033,x12033,x12032),f8(x12031,x12031,x12032),x12032),f2(x12032),x12032) % 0.91/1.06 [1204]~P50(x12042)+E(x12041,f2(x12042))+~P9(f6(f8(x12041,x12041,x12042),f8(x12043,x12043,x12042),x12042),f2(x12042),x12042) % 0.91/1.06 [868]~P43(x8681)+~P39(x8681)+E(f28(f5(f7(x8681),x8682,x8681),x8683,x8681),f5(f7(x8681),f28(x8682,x8683,x8681),x8681)) % 0.91/1.06 [1181]~P49(x11813)+~P8(x11811,x11812,x11813)+P8(x11811,f5(f6(x11811,x11812,x11813),f6(f7(x11813),f7(x11813),x11813),x11813),x11813) % 0.91/1.06 [1182]~P49(x11823)+~P8(x11821,x11822,x11823)+P8(f5(f6(x11821,x11822,x11823),f6(f7(x11823),f7(x11823),x11823),x11823),x11822,x11823) % 0.91/1.06 [572]~P15(x5724)+E(x5721,x5722)+~E(f3(x5723,x5723,x5724),f3(x5721,x5722,x5724)) % 0.91/1.06 [573]~P16(x5734)+E(x5731,x5732)+~E(f6(x5733,x5731,x5734),f6(x5733,x5732,x5734)) % 0.91/1.06 [574]~P19(x5744)+E(x5741,x5742)+~E(f6(x5743,x5741,x5744),f6(x5743,x5742,x5744)) % 0.91/1.06 [575]~P19(x5754)+E(x5751,x5752)+~E(f6(x5751,x5753,x5754),f6(x5752,x5753,x5754)) % 0.91/1.06 [576]~P15(x5763)+E(x5761,x5762)+~E(f3(x5761,x5762,x5763),f3(x5764,x5764,x5763)) % 0.91/1.06 [719]~P3(x7194)+~P8(x7191,x7193,x7194)+P8(x7191,f25(x7192,x7193,x7194),x7194) % 0.91/1.06 [721]~P3(x7214)+~P8(x7211,x7212,x7214)+P8(x7211,f25(x7212,x7213,x7214),x7214) % 0.91/1.06 [723]~P3(x7234)+~P9(x7231,x7233,x7234)+P9(x7231,f25(x7232,x7233,x7234),x7234) % 0.91/1.06 [725]~P3(x7254)+~P9(x7251,x7252,x7254)+P9(x7251,f25(x7252,x7253,x7254),x7254) % 0.91/1.06 [726]~P34(x7264)+~P11(x7261,x7263,x7264)+P11(x7261,f8(x7262,x7263,x7264),x7264) % 0.91/1.06 [727]~P34(x7274)+~P11(x7271,x7272,x7274)+P11(x7271,f8(x7272,x7273,x7274),x7274) % 0.91/1.06 [729]~P3(x7293)+~P8(x7292,x7294,x7293)+P8(f26(x7291,x7292,x7293),x7294,x7293) % 0.91/1.06 [731]~P3(x7313)+~P8(x7311,x7314,x7313)+P8(f26(x7311,x7312,x7313),x7314,x7313) % 0.91/1.06 [733]~P3(x7333)+~P9(x7332,x7334,x7333)+P9(f26(x7331,x7332,x7333),x7334,x7333) % 0.91/1.06 [735]~P3(x7353)+~P9(x7351,x7354,x7353)+P9(f26(x7351,x7352,x7353),x7354,x7353) % 0.91/1.06 [776]~P8(x7764,x7763,a1)+P8(x7761,x7762,a1)+~E(f6(x7761,x7763,a1),f6(x7764,x7762,a1)) % 0.91/1.06 [781]~P3(x7813)+P8(x7811,x7812,x7813)+~P8(x7811,f26(x7814,x7812,x7813),x7813) % 0.91/1.06 [782]~P3(x7823)+P8(x7821,x7822,x7823)+~P8(x7821,f26(x7822,x7824,x7823),x7823) % 0.91/1.06 [784]~P3(x7843)+P9(x7841,x7842,x7843)+~P9(x7841,f26(x7844,x7842,x7843),x7843) % 0.91/1.06 [786]~P3(x7863)+P9(x7861,x7862,x7863)+~P9(x7861,f26(x7862,x7864,x7863),x7863) % 0.91/1.06 [787]~P3(x7873)+P8(x7871,x7872,x7873)+~P8(f25(x7874,x7871,x7873),x7872,x7873) % 0.91/1.06 [788]~P3(x7883)+P8(x7881,x7882,x7883)+~P8(f25(x7881,x7884,x7883),x7882,x7883) % 0.91/1.06 [790]~P3(x7903)+P9(x7901,x7902,x7903)+~P9(f25(x7904,x7901,x7903),x7902,x7903) % 0.91/1.06 [792]~P3(x7923)+P9(x7921,x7922,x7923)+~P9(f25(x7921,x7924,x7923),x7922,x7923) % 0.91/1.06 [793]~P34(x7933)+P11(x7931,x7932,x7933)+~P11(f8(x7934,x7931,x7933),x7932,x7933) % 0.91/1.06 [794]~P34(x7943)+P11(x7941,x7942,x7943)+~P11(f8(x7941,x7944,x7943),x7942,x7943) % 0.91/1.06 [877]~P34(x8773)+~P9(x8772,x8774,a1)+P11(f28(x8771,x8772,x8773),f28(x8771,x8774,x8773),x8773) % 0.91/1.06 [879]~P24(x8793)+~P8(x8791,x8794,x8793)+P8(f6(x8791,x8792,x8793),f6(x8794,x8792,x8793),x8793) % 0.91/1.06 [880]~P30(x8803)+~P8(x8801,x8804,x8803)+P8(f6(x8801,x8802,x8803),f6(x8804,x8802,x8803),x8803) % 0.91/1.06 [881]~P24(x8813)+~P8(x8812,x8814,x8813)+P8(f6(x8811,x8812,x8813),f6(x8811,x8814,x8813),x8813) % 0.91/1.06 [882]~P30(x8823)+~P8(x8822,x8824,x8823)+P8(f6(x8821,x8822,x8823),f6(x8821,x8824,x8823),x8823) % 0.91/1.06 [883]~P24(x8833)+~P9(x8831,x8834,x8833)+P9(f6(x8831,x8832,x8833),f6(x8834,x8832,x8833),x8833) % 0.91/1.06 [884]~P25(x8843)+~P9(x8841,x8844,x8843)+P9(f6(x8841,x8842,x8843),f6(x8844,x8842,x8843),x8843) % 0.91/1.06 [885]~P24(x8853)+~P9(x8852,x8854,x8853)+P9(f6(x8851,x8852,x8853),f6(x8851,x8854,x8853),x8853) % 0.91/1.06 [886]~P25(x8863)+~P9(x8862,x8864,x8863)+P9(f6(x8861,x8862,x8863),f6(x8861,x8864,x8863),x8863) % 0.91/1.06 [887]~P44(x8873)+~P11(x8871,x8874,x8873)+P11(f8(x8871,x8872,x8873),f8(x8874,x8872,x8873),x8873) % 0.91/1.06 [888]~P44(x8883)+~P11(x8882,x8884,x8883)+P11(f8(x8881,x8882,x8883),f8(x8881,x8884,x8883),x8883) % 0.91/1.06 [889]~P34(x8893)+~P11(x8891,x8894,x8893)+P11(f28(x8891,x8892,x8893),f28(x8894,x8892,x8893),x8893) % 0.91/1.06 [989]~P8(x9892,x9894,a1)+~P8(x9891,x9893,a1)+P8(f6(x9891,x9892,a1),f6(x9893,x9894,a1),a1) % 0.91/1.06 [990]~P9(x9902,x9904,a1)+~P9(x9901,x9903,a1)+P9(f8(x9901,x9902,a1),f8(x9903,x9904,a1),a1) % 0.91/1.06 [991]~P9(x9912,x9914,a1)+~P9(x9911,x9913,a1)+P9(f6(x9911,x9912,a1),f6(x9913,x9914,a1),a1) % 0.91/1.06 [1069]~P24(x10693)+P8(x10691,x10692,x10693)+~P8(f6(x10694,x10691,x10693),f6(x10694,x10692,x10693),x10693) % 0.91/1.06 [1070]~P24(x10703)+P8(x10701,x10702,x10703)+~P8(f6(x10701,x10704,x10703),f6(x10702,x10704,x10703),x10703) % 0.91/1.06 [1071]~P24(x10713)+P9(x10711,x10712,x10713)+~P9(f6(x10714,x10711,x10713),f6(x10714,x10712,x10713),x10713) % 0.91/1.06 [1072]~P24(x10723)+P9(x10721,x10722,x10723)+~P9(f6(x10721,x10724,x10723),f6(x10722,x10724,x10723),x10723) % 0.91/1.06 [753]~P15(x7533)+E(x7531,f10(x7532,x7533))+~E(f6(x7531,f6(x7534,x7532,x7533),x7533),x7534) % 0.91/1.06 [840]~P43(x8403)+~P39(x8403)+E(f5(f8(x8401,x8402,x8403),x8404,x8403),f8(f5(x8401,x8404,x8403),x8402,x8403)) % 0.91/1.06 [1019]~P43(x10192)+E(x10191,f2(x10192))+E(f5(f28(x10193,x10194,x10192),f28(x10191,x10194,x10192),x10192),f28(f5(x10193,x10191,x10192),x10194,x10192)) % 0.91/1.06 [1020]~P43(x10203)+~P39(x10203)+E(f5(f28(x10201,x10202,x10203),f28(x10204,x10202,x10203),x10203),f28(f5(x10201,x10204,x10203),x10202,x10203)) % 0.91/1.06 [1078]E(x10781,x10782)+E(x10783,f2(a1))+~E(f6(x10784,f8(x10783,x10781,a1),a1),f6(x10784,f8(x10783,x10782,a1),a1)) % 0.91/1.06 [1111]~P13(x11113)+~P44(x11113)+E(f6(f8(x11111,x11112,x11113),f8(x11111,x11114,x11113),x11113),f6(f8(x11111,x11114,x11113),f8(x11111,x11112,x11113),x11113)) % 0.91/1.06 [1192]E(x11921,x11922)+E(x11923,x11924)+~E(f6(f8(x11923,x11921,a1),f8(x11924,x11922,a1),a1),f6(f8(x11923,x11922,a1),f8(x11924,x11921,a1),a1)) % 0.91/1.06 [562]E(x5621,x5622)+~E(f21(x5623,x5621,x5624),f21(x5625,x5622,x5624))+E(x5623,f2(a1)) % 0.91/1.06 [979]~P15(x9793)+E(f6(x9791,x9792,x9793),x9794)+~E(f6(x9791,f6(x9795,x9792,x9793),x9793),f6(x9795,x9794,x9793)) % 0.91/1.06 [1112]~P43(x11123)+~P39(x11123)+E(f5(f8(x11121,x11122,x11123),f8(x11124,x11125,x11123),x11123),f8(f5(x11121,x11124,x11123),f5(x11122,x11125,x11123),x11123)) % 0.91/1.06 [1200]~P9(x12003,x12002,a1)+~E(f6(f8(x12003,x12004,a1),x12001,a1),f6(f8(x12002,x12004,a1),x12005,a1))+E(x12001,f6(f8(f3(x12002,x12003,a1),x12004,a1),x12005,a1)) % 0.91/1.06 [1201]~P9(x12012,x12011,a1)+~E(f6(f8(x12011,x12013,a1),x12014,a1),f6(f8(x12012,x12013,a1),x12015,a1))+E(f6(f8(f3(x12011,x12012,a1),x12013,a1),x12014,a1),x12015) % 0.91/1.06 [1220]~P9(x12203,x12202,a1)+~P8(f6(f8(x12203,x12204,a1),x12201,a1),f6(f8(x12202,x12204,a1),x12205,a1),a1)+P8(x12201,f6(f8(f3(x12202,x12203,a1),x12204,a1),x12205,a1),a1) % 0.91/1.06 [1221]~P9(x12213,x12212,a1)+~P9(f6(f8(x12213,x12214,a1),x12211,a1),f6(f8(x12212,x12214,a1),x12215,a1),a1)+P9(x12211,f6(f8(f3(x12212,x12213,a1),x12214,a1),x12215,a1),a1) % 0.91/1.06 [1222]~P9(x12222,x12221,a1)+~P8(f6(f8(x12221,x12223,a1),x12224,a1),f6(f8(x12222,x12223,a1),x12225,a1),a1)+P8(f6(f8(f3(x12221,x12222,a1),x12223,a1),x12224,a1),x12225,a1) % 0.91/1.06 [1223]~P9(x12232,x12231,a1)+~P9(f6(f8(x12231,x12233,a1),x12234,a1),f6(f8(x12232,x12233,a1),x12235,a1),a1)+P9(f6(f8(f3(x12231,x12232,a1),x12233,a1),x12234,a1),x12235,a1) % 0.91/1.06 [1228]~P9(x12281,x12284,a1)+P8(f6(f8(x12281,x12282,a1),x12283,a1),f6(f8(x12284,x12282,a1),x12285,a1),a1)+~P8(x12283,f6(f8(f3(x12284,x12281,a1),x12282,a1),x12285,a1),a1) % 0.91/1.06 [1229]~P9(x12291,x12294,a1)+P9(f6(f8(x12291,x12292,a1),x12293,a1),f6(f8(x12294,x12292,a1),x12295,a1),a1)+~P9(x12293,f6(f8(f3(x12294,x12291,a1),x12292,a1),x12295,a1),a1) % 0.91/1.06 [1230]~P9(x12304,x12301,a1)+P8(f6(f8(x12301,x12302,a1),x12303,a1),f6(f8(x12304,x12302,a1),x12305,a1),a1)+~P8(f6(f8(f3(x12301,x12304,a1),x12302,a1),x12303,a1),x12305,a1) % 0.91/1.06 [1231]~P9(x12314,x12311,a1)+P9(f6(f8(x12311,x12312,a1),x12313,a1),f6(f8(x12314,x12312,a1),x12315,a1),a1)+~P9(f6(f8(f3(x12311,x12314,a1),x12312,a1),x12313,a1),x12315,a1) % 0.91/1.06 [1196]~P59(x11964)+~E(f6(f8(x11963,x11965,x11964),x11961,x11964),f6(f8(x11962,x11965,x11964),x11966,x11964))+E(x11961,f6(f8(f3(x11962,x11963,x11964),x11965,x11964),x11966,x11964)) % 0.91/1.06 [1197]~P59(x11973)+~E(f6(f8(x11971,x11974,x11973),x11975,x11973),f6(f8(x11972,x11974,x11973),x11976,x11973))+E(f6(f8(f3(x11971,x11972,x11973),x11974,x11973),x11975,x11973),x11976) % 0.91/1.06 [1216]~P56(x12164)+~P8(f6(f8(x12163,x12165,x12164),x12161,x12164),f6(f8(x12162,x12165,x12164),x12166,x12164),x12164)+P8(x12161,f6(f8(f3(x12162,x12163,x12164),x12165,x12164),x12166,x12164),x12164) % 0.91/1.06 [1217]~P56(x12174)+~P9(f6(f8(x12173,x12175,x12174),x12171,x12174),f6(f8(x12172,x12175,x12174),x12176,x12174),x12174)+P9(x12171,f6(f8(f3(x12172,x12173,x12174),x12175,x12174),x12176,x12174),x12174) % 0.91/1.06 [1218]~P56(x12183)+~P8(f6(f8(x12181,x12184,x12183),x12185,x12183),f6(f8(x12182,x12184,x12183),x12186,x12183),x12183)+P8(f6(f8(f3(x12181,x12182,x12183),x12184,x12183),x12185,x12183),x12186,x12183) % 0.91/1.06 [1219]~P56(x12193)+~P9(f6(f8(x12191,x12194,x12193),x12195,x12193),f6(f8(x12192,x12194,x12193),x12196,x12193),x12193)+P9(f6(f8(f3(x12191,x12192,x12193),x12194,x12193),x12195,x12193),x12196,x12193) % 0.91/1.06 [1224]~P56(x12243)+P8(f6(f8(x12241,x12242,x12243),x12244,x12243),f6(f8(x12245,x12242,x12243),x12246,x12243),x12243)+~P8(x12244,f6(f8(f3(x12245,x12241,x12243),x12242,x12243),x12246,x12243),x12243) % 0.91/1.06 [1225]~P56(x12253)+P9(f6(f8(x12251,x12252,x12253),x12254,x12253),f6(f8(x12255,x12252,x12253),x12256,x12253),x12253)+~P9(x12254,f6(f8(f3(x12255,x12251,x12253),x12252,x12253),x12256,x12253),x12253) % 0.91/1.06 [1226]~P56(x12263)+P8(f6(f8(x12261,x12262,x12263),x12264,x12263),f6(f8(x12265,x12262,x12263),x12266,x12263),x12263)+~P8(f6(f8(f3(x12261,x12265,x12263),x12262,x12263),x12264,x12263),x12266,x12263) % 0.91/1.06 [1227]~P56(x12273)+P9(f6(f8(x12271,x12272,x12273),x12274,x12273),f6(f8(x12275,x12272,x12273),x12276,x12273),x12273)+~P9(f6(f8(f3(x12271,x12275,x12273),x12272,x12273),x12274,x12273),x12276,x12273) % 0.91/1.06 [320]~P43(x3202)+~P39(x3202)+~E(f4(x3201,x3202),f7(x3202))+E(x3201,f7(x3202)) % 0.91/1.06 [473]~P63(x4732)+~P8(f2(x4732),x4731,x4732)+E(f9(x4731,x4732),f7(x4732))+E(x4731,f2(x4732)) % 0.91/1.06 [618]~P49(x6181)+~P39(x6181)+~P9(f2(x6181),x6182,x6181)+P9(f2(x6181),f4(x6182,x6181),x6181) % 0.91/1.06 [620]~P49(x6202)+~P39(x6202)+~P9(x6201,f2(x6202),x6202)+P8(f4(x6201,x6202),f7(x6202),x6202) % 0.91/1.06 [621]~P49(x6212)+~P39(x6212)+~P9(x6211,f2(x6212),x6212)+P9(f4(x6211,x6212),f2(x6212),x6212) % 0.91/1.06 [622]~P49(x6222)+~P39(x6222)+~P9(x6221,f2(x6222),x6222)+P9(f4(x6221,x6222),f7(x6222),x6222) % 0.91/1.06 [623]~P49(x6232)+~P39(x6232)+~P8(f7(x6232),x6231,x6232)+P8(f4(x6231,x6232),f7(x6232),x6232) % 0.91/1.06 [624]~P49(x6242)+~P39(x6242)+~P9(f7(x6242),x6241,x6242)+P9(f4(x6241,x6242),f7(x6242),x6242) % 0.91/1.06 [641]~P49(x6412)+~P8(f4(x6411,x6412),f2(x6412),x6412)+P8(x6411,f2(x6412),x6412)+E(x6411,f2(x6412)) % 0.91/1.06 [642]~P49(x6422)+~P8(f2(x6422),f4(x6421,x6422),x6422)+P8(f2(x6422),x6421,x6422)+E(x6421,f2(x6422)) % 0.91/1.06 [644]~P49(x6442)+~P39(x6442)+~P8(f7(x6442),f4(x6441,x6442),x6442)+P8(x6441,f7(x6442),x6442) % 0.91/1.06 [645]~P49(x6452)+~P39(x6452)+~P9(f7(x6452),f4(x6451,x6452),x6452)+P9(x6451,f7(x6452),x6452) % 0.91/1.06 [646]~P49(x6462)+~P39(x6462)+~P8(f4(x6461,x6462),f2(x6462),x6462)+P8(x6461,f2(x6462),x6462) % 0.91/1.06 [647]~P49(x6472)+~P39(x6472)+~P9(f4(x6471,x6472),f2(x6472),x6472)+P9(x6471,f2(x6472),x6472) % 0.91/1.06 [648]~P49(x6481)+~P39(x6481)+~P8(f2(x6481),f4(x6482,x6481),x6481)+P8(f2(x6481),x6482,x6481) % 0.91/1.06 [649]~P49(x6491)+~P39(x6491)+~P8(f7(x6491),f4(x6492,x6491),x6491)+P8(f2(x6491),x6492,x6491) % 0.91/1.06 [650]~P49(x6501)+~P39(x6501)+~P9(f7(x6501),f4(x6502,x6501),x6501)+P8(f2(x6501),x6502,x6501) % 0.91/1.06 [651]~P49(x6511)+~P39(x6511)+~P9(f2(x6511),f4(x6512,x6511),x6511)+P9(f2(x6511),x6512,x6511) % 0.91/1.06 [383]~P1(x3832)+~P2(x3832)+E(x3831,f2(a1))+E(f28(f2(x3832),x3831,x3832),f2(x3832)) % 0.91/1.06 [429]~P63(x4292)+P8(f2(x4292),x4291,x4292)+E(x4291,f2(x4292))+E(f9(x4291,x4292),f10(f7(x4292),x4292)) % 0.91/1.06 [756]~P49(x7561)+~P39(x7561)+~P8(f2(x7561),x7562,x7561)+P8(f2(x7561),f5(f7(x7561),x7562,x7561),x7561) % 0.91/1.06 [757]~P49(x7571)+~P39(x7571)+~P9(f2(x7571),x7572,x7571)+P9(f2(x7571),f5(f7(x7571),x7572,x7571),x7571) % 0.91/1.06 [758]~P49(x7581)+~P39(x7581)+~P8(x7582,f2(x7581),x7581)+P8(f5(f7(x7581),x7582,x7581),f2(x7581),x7581) % 0.91/1.06 [759]~P49(x7591)+~P39(x7591)+~P9(x7592,f2(x7591),x7591)+P9(f5(f7(x7591),x7592,x7591),f2(x7591),x7591) % 0.91/1.06 [869]~P49(x8692)+~P39(x8692)+P8(x8691,f2(x8692),x8692)+~P8(f5(f7(x8692),x8691,x8692),f2(x8692),x8692) % 0.91/1.06 [870]~P49(x8702)+~P39(x8702)+P9(x8701,f2(x8702),x8702)+~P9(f5(f7(x8702),x8701,x8702),f2(x8702),x8702) % 0.91/1.06 [871]~P49(x8711)+~P39(x8711)+P8(f2(x8711),x8712,x8711)+~P8(f2(x8711),f5(f7(x8711),x8712,x8711),x8711) % 0.91/1.06 [872]~P49(x8721)+~P39(x8721)+P9(f2(x8721),x8722,x8721)+~P9(f2(x8721),f5(f7(x8721),x8722,x8721),x8721) % 0.91/1.06 [466]P8(x4661,x4662,x4663)+~P3(x4663)+E(x4661,x4662)+P8(x4662,x4661,x4663) % 0.91/1.06 [467]P8(x4671,x4672,x4673)+~P48(x4673)+E(x4671,x4672)+P8(x4672,x4671,x4673) % 0.91/1.06 [520]~P3(x5203)+~P9(x5201,x5202,x5203)+E(x5201,x5202)+P8(x5201,x5202,x5203) % 0.91/1.06 [526]~P32(x5263)+~P9(x5261,x5262,x5263)+E(x5261,x5262)+P8(x5261,x5262,x5263) % 0.91/1.06 [580]~P9(x5802,x5801,x5803)+~P9(x5801,x5802,x5803)+E(x5801,x5802)+~P32(x5803) % 0.91/1.06 [631]P9(x6312,x6311,x6313)+~P31(x6313)+~P9(x6311,x6312,x6313)+P8(x6311,x6312,x6313) % 0.91/1.06 [328]~P39(x3283)+~P40(x3283)+E(x3281,x3282)+~E(f4(x3281,x3283),f4(x3282,x3283)) % 0.91/1.06 [427]~P43(x4273)+E(x4271,x4272)+~E(f5(x4271,x4272,x4273),f7(x4273))+E(x4272,f2(x4273)) % 0.91/1.06 [428]~P13(x4282)+~P44(x4282)+~E(f6(x4283,x4281,x4282),x4283)+E(x4281,f2(x4282)) % 0.91/1.06 [432]~P13(x4323)+~P44(x4323)+E(x4321,x4322)+~E(f3(x4321,x4322,x4323),f2(x4323)) % 0.91/1.06 [436]~P46(x4362)+~E(f8(x4363,x4361,x4362),f2(x4362))+E(x4361,f2(x4362))+E(x4363,f2(x4362)) % 0.91/1.06 [437]~P57(x4372)+~E(f8(x4373,x4371,x4372),f2(x4372))+E(x4371,f2(x4372))+E(x4373,f2(x4372)) % 0.91/1.06 [616]~P44(x6163)+E(x6161,x6162)+~E(f8(x6161,x6161,x6163),f8(x6162,x6162,x6163))+E(x6161,f10(x6162,x6163)) % 0.91/1.06 [762]~P49(x7622)+~P8(x7623,x7621,x7622)+~P8(x7621,f2(x7622),x7622)+P8(f4(x7621,x7622),f4(x7623,x7622),x7622) % 0.91/1.06 [763]~P49(x7632)+~P9(x7633,x7631,x7632)+~P8(x7631,f2(x7632),x7632)+P9(f4(x7631,x7632),f4(x7633,x7632),x7632) % 0.91/1.06 [764]~P49(x7642)+~P8(x7643,x7641,x7642)+~P8(f2(x7642),x7643,x7642)+P8(f4(x7641,x7642),f4(x7643,x7642),x7642) % 0.91/1.06 [765]~P49(x7652)+~P9(x7653,x7651,x7652)+~P8(f2(x7652),x7653,x7652)+P9(f4(x7651,x7652),f4(x7653,x7652),x7652) % 0.91/1.06 [803]~P49(x8033)+P8(x8031,x8032,x8033)+~P8(x8031,f2(x8033),x8033)+~P8(f4(x8032,x8033),f4(x8031,x8033),x8033) % 0.91/1.06 [804]~P49(x8043)+P9(x8041,x8042,x8043)+~P8(x8041,f2(x8043),x8043)+~P9(f4(x8042,x8043),f4(x8041,x8043),x8043) % 0.91/1.06 [805]~P49(x8053)+P8(x8051,x8052,x8053)+~P8(f2(x8053),x8052,x8053)+~P8(f4(x8052,x8053),f4(x8051,x8053),x8053) % 0.91/1.06 [806]~P49(x8063)+P9(x8061,x8062,x8063)+~P8(f2(x8063),x8062,x8063)+~P9(f4(x8062,x8063),f4(x8061,x8063),x8063) % 0.91/1.06 [839]E(x8391,x8392)+~P9(x8393,x8392,a1)+~P9(x8393,x8391,a1)+~E(f3(x8391,x8393,a1),f3(x8392,x8393,a1)) % 0.91/1.06 [878]~P33(x8781)+~P8(f7(x8781),x8782,x8781)+P8(f7(x8781),f28(x8782,x8783,x8781),x8781)+~P8(f2(a1),x8783,a1) % 0.91/1.06 [893]~P50(x8931)+~P8(x8933,f2(x8931),x8931)+~P8(x8932,f2(x8931),x8931)+P8(f2(x8931),f8(x8932,x8933,x8931),x8931) % 0.91/1.06 [894]~P49(x8941)+~P8(x8943,f2(x8941),x8941)+~P8(x8942,f2(x8941),x8941)+P8(f2(x8941),f5(x8942,x8943,x8941),x8941) % 0.91/1.06 [896]~P56(x8961)+~P9(x8963,f2(x8961),x8961)+~P9(x8962,f2(x8961),x8961)+P9(f2(x8961),f8(x8962,x8963,x8961),x8961) % 0.91/1.06 [897]~P50(x8971)+~P9(x8973,f2(x8971),x8971)+~P9(x8972,f2(x8971),x8971)+P9(f2(x8971),f8(x8972,x8973,x8971),x8971) % 0.91/1.06 [898]~P49(x8981)+~P8(x8983,f2(x8981),x8981)+~P9(x8982,f2(x8981),x8981)+P9(f2(x8981),f5(x8982,x8983,x8981),x8981) % 0.91/1.06 [899]~P51(x8991)+~P8(f2(x8991),x8993,x8991)+~P8(f2(x8991),x8992,x8991)+P8(f2(x8991),f8(x8992,x8993,x8991),x8991) % 0.91/1.06 [900]~P29(x9001)+~P8(f2(x9001),x9003,x9001)+~P8(f2(x9001),x9002,x9001)+P8(f2(x9001),f6(x9002,x9003,x9001),x9001) % 0.91/1.06 [901]~P29(x9011)+~P8(f2(x9011),x9013,x9011)+~P9(f2(x9011),x9012,x9011)+P8(f2(x9011),f6(x9012,x9013,x9011),x9011) % 0.91/1.06 [902]~P29(x9021)+~P8(f2(x9021),x9022,x9021)+~P9(f2(x9021),x9023,x9021)+P8(f2(x9021),f6(x9022,x9023,x9021),x9021) % 0.91/1.06 [903]~P49(x9031)+~P8(f2(x9031),x9033,x9031)+~P8(f2(x9031),x9032,x9031)+P8(f2(x9031),f5(x9032,x9033,x9031),x9031) % 0.91/1.06 [904]~P33(x9041)+~P8(f7(x9041),x9043,x9041)+~P8(f7(x9041),x9042,x9041)+P8(f7(x9041),f8(x9042,x9043,x9041),x9041) % 0.91/1.06 [905]~P56(x9051)+~P9(f2(x9051),x9053,x9051)+~P9(f2(x9051),x9052,x9051)+P9(f2(x9051),f8(x9052,x9053,x9051),x9051) % 0.91/1.06 [906]~P50(x9061)+~P9(f2(x9061),x9063,x9061)+~P9(f2(x9061),x9062,x9061)+P9(f2(x9061),f8(x9062,x9063,x9061),x9061) % 0.91/1.06 [907]~P54(x9071)+~P9(f2(x9071),x9073,x9071)+~P9(f2(x9071),x9072,x9071)+P9(f2(x9071),f8(x9072,x9073,x9071),x9071) % 0.91/1.06 [908]~P29(x9081)+~P9(f2(x9081),x9083,x9081)+~P9(f2(x9081),x9082,x9081)+P9(f2(x9081),f6(x9082,x9083,x9081),x9081) % 0.91/1.06 [909]~P49(x9091)+~P8(f2(x9091),x9093,x9091)+~P9(f2(x9091),x9092,x9091)+P9(f2(x9091),f5(x9092,x9093,x9091),x9091) % 0.91/1.06 [910]~P29(x9103)+~P8(x9102,f2(x9103),x9103)+~P8(x9101,f2(x9103),x9103)+P8(f6(x9101,x9102,x9103),f2(x9103),x9103) % 0.91/1.06 [911]~P29(x9113)+~P8(x9112,f2(x9113),x9113)+~P9(x9111,f2(x9113),x9113)+P8(f6(x9111,x9112,x9113),f2(x9113),x9113) % 0.91/1.06 [912]~P29(x9123)+~P8(x9121,f2(x9123),x9123)+~P9(x9122,f2(x9123),x9123)+P8(f6(x9121,x9122,x9123),f2(x9123),x9123) % 0.91/1.06 [913]~P29(x9133)+~P9(x9132,f2(x9133),x9133)+~P9(x9131,f2(x9133),x9133)+P9(f6(x9131,x9132,x9133),f2(x9133),x9133) % 0.91/1.06 [914]~P51(x9143)+~P8(x9142,f2(x9143),x9143)+~P8(f2(x9143),x9141,x9143)+P8(f8(x9141,x9142,x9143),f2(x9143),x9143) % 0.91/1.06 [916]~P51(x9163)+~P8(x9161,f2(x9163),x9163)+~P8(f2(x9163),x9162,x9163)+P8(f8(x9161,x9162,x9163),f2(x9163),x9163) % 0.91/1.06 [917]~P49(x9173)+~P8(x9172,f2(x9173),x9173)+~P8(f2(x9173),x9171,x9173)+P8(f5(x9171,x9172,x9173),f2(x9173),x9173) % 0.91/1.06 [918]~P49(x9183)+~P8(x9181,f2(x9183),x9183)+~P8(f2(x9183),x9182,x9183)+P8(f5(x9181,x9182,x9183),f2(x9183),x9183) % 0.91/1.06 [919]~P50(x9193)+~P9(x9192,f2(x9193),x9193)+~P9(f2(x9193),x9191,x9193)+P9(f8(x9191,x9192,x9193),f2(x9193),x9193) % 0.91/1.06 [920]~P50(x9203)+~P9(x9201,f2(x9203),x9203)+~P9(f2(x9203),x9202,x9203)+P9(f8(x9201,x9202,x9203),f2(x9203),x9203) % 0.91/1.06 [922]~P54(x9223)+~P9(x9222,f2(x9223),x9223)+~P9(f2(x9223),x9221,x9223)+P9(f8(x9221,x9222,x9223),f2(x9223),x9223) % 0.91/1.06 [925]~P54(x9253)+~P9(x9251,f2(x9253),x9253)+~P9(f2(x9253),x9252,x9253)+P9(f8(x9251,x9252,x9253),f2(x9253),x9253) % 0.91/1.06 [926]~P49(x9263)+~P8(x9262,f2(x9263),x9263)+~P9(f2(x9263),x9261,x9263)+P9(f5(x9261,x9262,x9263),f2(x9263),x9263) % 0.91/1.06 [927]~P49(x9273)+~P9(x9271,f2(x9273),x9273)+~P8(f2(x9273),x9272,x9273)+P9(f5(x9271,x9272,x9273),f2(x9273),x9273) % 0.91/1.06 [946]~P50(x9462)+~P9(f8(x9463,x9461,x9462),f2(x9462),x9462)+P9(x9461,f2(x9462),x9462)+P9(x9463,f2(x9462),x9462) % 0.91/1.06 [947]~P50(x9472)+~P9(f2(x9472),f8(x9473,x9471,x9472),x9472)+P9(x9471,f2(x9472),x9472)+P9(f2(x9472),x9473,x9472) % 0.91/1.06 [948]~P50(x9482)+~P9(f2(x9482),f8(x9481,x9483,x9482),x9482)+P9(x9481,f2(x9482),x9482)+P9(f2(x9482),x9483,x9482) % 0.91/1.06 [949]~P50(x9492)+~P9(f2(x9492),f8(x9493,x9491,x9492),x9492)+P9(x9491,f2(x9492),x9492)+P9(f2(x9492),x9491,x9492) % 0.91/1.06 [950]~P50(x9502)+~P9(f2(x9502),f8(x9501,x9503,x9502),x9502)+P9(x9501,f2(x9502),x9502)+P9(f2(x9502),x9501,x9502) % 0.91/1.06 [951]~P50(x9512)+~P9(f8(x9513,x9511,x9512),f2(x9512),x9512)+P9(x9511,f2(x9512),x9512)+P9(f2(x9512),x9511,x9512) % 0.91/1.06 [952]~P50(x9522)+~P9(f8(x9521,x9523,x9522),f2(x9522),x9522)+P9(x9521,f2(x9522),x9522)+P9(f2(x9522),x9521,x9522) % 0.91/1.06 [953]~P50(x9531)+~P9(f8(x9532,x9533,x9531),f2(x9531),x9531)+P9(f2(x9531),x9532,x9531)+P9(f2(x9531),x9533,x9531) % 0.91/1.06 [985]~P51(x9851)+~P8(f2(x9851),f8(x9853,x9852,x9851),x9851)+P8(f2(x9851),x9852,x9851)+~P8(f2(x9851),x9853,x9851) % 0.91/1.06 [986]~P51(x9861)+~P8(f2(x9861),f8(x9862,x9863,x9861),x9861)+P8(f2(x9861),x9862,x9861)+~P8(f2(x9861),x9863,x9861) % 0.91/1.06 [1162]~P9(x11623,x11621,a1)+P8(x11621,x11622,a1)+~P9(x11623,x11622,a1)+~P8(f3(x11621,x11623,a1),f3(x11622,x11623,a1),a1) % 0.91/1.06 [1163]~P9(x11633,x11631,a1)+P9(x11631,x11632,a1)+~P9(x11633,x11632,a1)+~P9(f3(x11631,x11633,a1),f3(x11632,x11633,a1),a1) % 0.91/1.06 [583]~P43(x5832)+~P39(x5832)+E(x5831,f2(x5832))+E(f8(f5(x5833,x5831,x5832),x5831,x5832),x5833) % 0.91/1.06 [712]~P40(x7122)+E(x7121,f2(x7122))+E(x7123,f2(x7122))+E(f8(f4(x7121,x7122),f4(x7123,x7122),x7122),f4(f8(x7123,x7121,x7122),x7122)) % 0.91/1.06 [944]~P33(x9443)+~P8(x9441,f7(x9443),x9443)+~P8(f2(x9443),x9441,x9443)+P8(f28(x9441,f27(x9442),x9443),f7(x9443),x9443) % 0.91/1.06 [1123]~P40(x11232)+E(x11231,f2(x11232))+E(x11233,f2(x11232))+E(f8(f8(f4(x11233,x11232),f3(x11231,x11233,x11232),x11232),f4(x11231,x11232),x11232),f3(f4(x11233,x11232),f4(x11231,x11232),x11232)) % 0.91/1.06 [1124]~P40(x11242)+E(x11241,f2(x11242))+E(x11243,f2(x11242))+E(f8(f8(f4(x11243,x11242),f6(x11243,x11241,x11242),x11242),f4(x11241,x11242),x11242),f6(f4(x11243,x11242),f4(x11241,x11242),x11242)) % 0.91/1.06 [1125]~P43(x11252)+E(x11251,f2(x11252))+E(x11253,f2(x11252))+E(f8(f8(f6(x11253,x11251,x11252),f4(x11253,x11252),x11252),f4(x11251,x11252),x11252),f6(f4(x11253,x11252),f4(x11251,x11252),x11252)) % 0.91/1.06 [1175]~P33(x11753)+~P8(x11751,f7(x11753),x11753)+~P8(f2(x11753),x11751,x11753)+P8(f8(x11751,f28(x11751,x11752,x11753),x11753),f28(x11751,x11752,x11753),x11753) % 0.91/1.06 [688]~P31(x6883)+~P8(x6881,x6884,x6883)+P8(x6881,x6882,x6883)+~P8(x6884,x6882,x6883) % 0.91/1.06 [689]~P31(x6893)+~P9(x6891,x6894,x6893)+P8(x6891,x6892,x6893)+~P8(x6894,x6892,x6893) % 0.91/1.06 [690]~P31(x6903)+~P9(x6904,x6902,x6903)+P8(x6901,x6902,x6903)+~P8(x6901,x6904,x6903) % 0.91/1.06 [691]~P32(x6913)+~P8(x6911,x6914,x6913)+P8(x6911,x6912,x6913)+~P8(x6914,x6912,x6913) % 0.91/1.06 [692]~P32(x6923)+~P9(x6921,x6924,x6923)+P8(x6921,x6922,x6923)+~P8(x6924,x6922,x6923) % 0.91/1.06 [693]~P32(x6933)+~P9(x6934,x6932,x6933)+P8(x6931,x6932,x6933)+~P8(x6931,x6934,x6933) % 0.91/1.06 [694]~P31(x6943)+~P9(x6941,x6944,x6943)+P9(x6941,x6942,x6943)+~P9(x6944,x6942,x6943) % 0.91/1.06 [695]~P32(x6953)+~P9(x6951,x6954,x6953)+P9(x6951,x6952,x6953)+~P9(x6954,x6952,x6953) % 0.91/1.06 [696]~P34(x6963)+~P11(x6961,x6964,x6963)+P11(x6961,x6962,x6963)+~P11(x6964,x6962,x6963) % 0.91/1.06 [595]~P13(x5954)+~P44(x5954)+E(x5951,x5952)+~E(f6(x5953,x5951,x5954),f6(x5953,x5952,x5954)) % 0.91/1.06 [752]~P33(x7524)+E(x7521,x7522)+~P8(f7(x7524),x7523,x7524)+~E(f28(x7523,x7521,x7524),f28(x7523,x7522,x7524)) % 0.91/1.06 [842]~P3(x8424)+~P8(x8421,x8423,x8424)+~P8(x8421,x8422,x8424)+P8(x8421,f26(x8422,x8423,x8424),x8424) % 0.91/1.06 [845]~P3(x8454)+~P9(x8451,x8453,x8454)+~P9(x8451,x8452,x8454)+P9(x8451,f26(x8452,x8453,x8454),x8454) % 0.91/1.06 [846]~P36(x8464)+~P11(x8461,x8463,x8464)+~P11(x8461,x8462,x8464)+P11(x8461,f3(x8462,x8463,x8464),x8464) % 0.91/1.06 [847]~P34(x8474)+~P11(x8471,x8473,x8474)+~P11(x8471,x8472,x8474)+P11(x8471,f6(x8472,x8473,x8474),x8474) % 0.91/1.06 [848]~P3(x8483)+~P8(x8482,x8484,x8483)+~P8(x8481,x8484,x8483)+P8(f25(x8481,x8482,x8483),x8484,x8483) % 0.91/1.06 [851]~P3(x8513)+~P9(x8512,x8514,x8513)+~P9(x8511,x8514,x8513)+P9(f25(x8511,x8512,x8513),x8514,x8513) % 0.91/1.06 [866]~P33(x8664)+~P8(x8661,x8663,x8664)+~P8(f2(x8664),x8662,x8664)+P8(x8661,f6(x8662,x8663,x8664),x8664) % 0.91/1.06 [930]~P3(x9303)+P8(x9301,x9302,x9303)+P8(x9301,x9304,x9303)+~P8(x9301,f25(x9302,x9304,x9303),x9303) % 0.91/1.06 [931]~P3(x9313)+P9(x9311,x9312,x9313)+P9(x9311,x9314,x9313)+~P9(x9311,f25(x9312,x9314,x9313),x9313) % 0.91/1.06 [932]~P3(x9323)+P8(x9321,x9322,x9323)+P8(x9324,x9322,x9323)+~P8(f26(x9321,x9324,x9323),x9322,x9323) % 0.91/1.06 [933]~P3(x9333)+P9(x9331,x9332,x9333)+P9(x9334,x9332,x9333)+~P9(f26(x9331,x9334,x9333),x9332,x9333) % 0.91/1.06 [1033]~P33(x10333)+~P8(x10332,x10334,a1)+~P8(f7(x10333),x10331,x10333)+P8(f28(x10331,x10332,x10333),f28(x10331,x10334,x10333),x10333) % 0.91/1.06 [1034]~P33(x10343)+~P9(x10342,x10344,a1)+~P8(f7(x10343),x10341,x10343)+P9(f28(x10341,x10342,x10343),f28(x10341,x10344,x10343),x10343) % 0.91/1.06 [1035]~P33(x10353)+~P9(x10352,x10354,a1)+~P9(f7(x10353),x10351,x10353)+P9(f28(x10351,x10352,x10353),f28(x10351,x10354,x10353),x10353) % 0.91/1.06 [1039]~P50(x10393)+~P8(x10394,x10391,x10393)+~P8(x10392,f2(x10393),x10393)+P8(f8(x10391,x10392,x10393),f8(x10394,x10392,x10393),x10393) % 0.91/1.06 [1042]~P50(x10423)+~P8(x10424,x10422,x10423)+~P8(x10421,f2(x10423),x10423)+P8(f8(x10421,x10422,x10423),f8(x10421,x10424,x10423),x10423) % 0.91/1.06 [1043]~P49(x10433)+~P8(x10434,x10431,x10433)+~P8(x10432,f2(x10433),x10433)+P8(f5(x10431,x10432,x10433),f5(x10434,x10432,x10433),x10433) % 0.91/1.06 [1044]~P56(x10443)+~P9(x10444,x10441,x10443)+~P9(x10442,f2(x10443),x10443)+P9(f8(x10441,x10442,x10443),f8(x10444,x10442,x10443),x10443) % 0.91/1.06 [1045]~P56(x10453)+~P9(x10454,x10452,x10453)+~P9(x10451,f2(x10453),x10453)+P9(f8(x10451,x10452,x10453),f8(x10451,x10454,x10453),x10453) % 0.91/1.06 [1046]~P50(x10463)+~P9(x10464,x10462,x10463)+~P8(x10461,f2(x10463),x10463)+P9(f8(x10461,x10462,x10463),f8(x10461,x10464,x10463),x10463) % 0.91/1.06 [1047]~P51(x10473)+~P8(x10471,x10474,x10473)+~P8(f2(x10473),x10472,x10473)+P8(f8(x10471,x10472,x10473),f8(x10474,x10472,x10473),x10473) % 0.91/1.06 [1048]~P50(x10483)+~P8(x10481,x10484,x10483)+~P8(f2(x10483),x10482,x10483)+P8(f8(x10481,x10482,x10483),f8(x10484,x10482,x10483),x10483) % 0.91/1.06 [1049]~P51(x10493)+~P8(x10492,x10494,x10493)+~P8(f2(x10493),x10491,x10493)+P8(f8(x10491,x10492,x10493),f8(x10491,x10494,x10493),x10493) % 0.91/1.06 [1051]~P50(x10513)+~P8(x10512,x10514,x10513)+~P8(f2(x10513),x10511,x10513)+P8(f8(x10511,x10512,x10513),f8(x10511,x10514,x10513),x10513) % 0.91/1.06 [1052]~P41(x10523)+~P8(x10522,x10524,x10523)+~P8(f2(x10523),x10521,x10523)+P8(f8(x10521,x10522,x10523),f8(x10521,x10524,x10523),x10523) % 0.91/1.06 [1053]~P49(x10533)+~P8(x10531,x10534,x10533)+~P8(f2(x10533),x10532,x10533)+P8(f5(x10531,x10532,x10533),f5(x10534,x10532,x10533),x10533) % 0.91/1.06 [1054]~P42(x10543)+~P9(x10541,x10544,x10543)+~P9(f2(x10543),x10542,x10543)+P9(f8(x10541,x10542,x10543),f8(x10544,x10542,x10543),x10543) % 0.91/1.06 [1055]~P50(x10553)+~P9(x10552,x10554,x10553)+~P8(f2(x10553),x10551,x10553)+P9(f8(x10551,x10552,x10553),f8(x10551,x10554,x10553),x10553) % 0.91/1.06 [1056]~P42(x10563)+~P9(x10562,x10564,x10563)+~P9(f2(x10563),x10561,x10563)+P9(f8(x10561,x10562,x10563),f8(x10561,x10564,x10563),x10563) % 0.91/1.06 [1057]~P45(x10573)+~P9(x10572,x10574,x10573)+~P9(f2(x10573),x10571,x10573)+P9(f8(x10571,x10572,x10573),f8(x10571,x10574,x10573),x10573) % 0.91/1.06 [1058]~P33(x10583)+~P9(x10581,x10584,x10583)+~P9(f2(x10583),x10581,x10583)+P9(f28(x10581,x10582,x10583),f28(x10584,x10582,x10583),x10583) % 0.91/1.06 [1076]~P44(x10762)+P11(x10763,x10764,x10762)+~P11(f8(x10761,x10763,x10762),f8(x10761,x10764,x10762),x10762)+E(x10761,f2(x10762)) % 0.91/1.06 [1077]~P44(x10772)+P11(x10773,x10774,x10772)+~P11(f8(x10773,x10771,x10772),f8(x10774,x10771,x10772),x10772)+E(x10771,f2(x10772)) % 0.91/1.06 [1087]~P49(x10874)+~P8(f2(x10874),x10873,x10874)+~P8(f8(x10871,x10873,x10874),x10872,x10874)+P8(x10871,f5(x10872,x10873,x10874),x10874) % 0.91/1.06 [1088]~P49(x10884)+~P8(f2(x10884),x10883,x10884)+~P9(f8(x10881,x10883,x10884),x10882,x10884)+P9(x10881,f5(x10882,x10883,x10884),x10884) % 0.91/1.06 [1089]~P49(x10893)+~P8(f2(x10893),x10892,x10893)+~P8(x10891,f8(x10894,x10892,x10893),x10893)+P8(f5(x10891,x10892,x10893),x10894,x10893) % 0.91/1.06 [1090]~P49(x10903)+~P8(f2(x10903),x10902,x10903)+~P9(x10901,f8(x10904,x10902,x10903),x10903)+P9(f5(x10901,x10902,x10903),x10904,x10903) % 0.91/1.06 [1101]P8(x11012,x11011,x11013)+~P50(x11013)+P8(x11011,x11012,x11013)+~P8(f8(x11014,x11011,x11013),f8(x11014,x11012,x11013),x11013) % 0.91/1.06 [1102]P8(x11022,x11021,x11023)+~P50(x11023)+P8(x11021,x11022,x11023)+~P8(f8(x11021,x11024,x11023),f8(x11022,x11024,x11023),x11023) % 0.91/1.06 [1105]~P50(x11053)+P8(x11051,x11052,x11053)+~P8(f8(x11051,x11054,x11053),f8(x11052,x11054,x11053),x11053)+P8(x11054,f2(x11053),x11053) % 0.91/1.06 [1106]~P50(x11063)+P8(x11061,x11062,x11063)+~P8(f8(x11064,x11061,x11063),f8(x11064,x11062,x11063),x11063)+P8(x11064,f2(x11063),x11063) % 0.91/1.06 [1107]~P50(x11073)+P8(x11071,x11072,x11073)+~P8(f8(x11074,x11072,x11073),f8(x11074,x11071,x11073),x11073)+P8(f2(x11073),x11074,x11073) % 0.91/1.06 [1108]~P50(x11083)+P8(x11081,x11082,x11083)+~P8(f8(x11082,x11084,x11083),f8(x11081,x11084,x11083),x11083)+P8(f2(x11083),x11084,x11083) % 0.91/1.06 [1113]~P50(x11132)+~P8(f8(x11133,x11131,x11132),f8(x11134,x11131,x11132),x11132)+P8(x11131,f2(x11132),x11132)+P8(f2(x11132),x11131,x11132) % 0.91/1.06 [1114]~P50(x11142)+~P8(f8(x11141,x11143,x11142),f8(x11141,x11144,x11142),x11142)+P8(x11141,f2(x11142),x11142)+P8(f2(x11142),x11141,x11142) % 0.91/1.06 [1127]~P33(x11273)+~P8(f28(x11274,x11271,x11273),f28(x11274,x11272,x11273),x11273)+P8(x11271,x11272,a1)+~P8(f7(x11273),x11274,x11273) % 0.91/1.06 [1129]~P33(x11293)+~P9(f28(x11294,x11291,x11293),f28(x11294,x11292,x11293),x11293)+P9(x11291,x11292,a1)+~P8(f7(x11293),x11294,x11293) % 0.91/1.06 [1130]~P50(x11303)+P8(x11301,x11302,x11303)+~P8(f8(x11304,x11302,x11303),f8(x11304,x11301,x11303),x11303)+~P8(x11304,f2(x11303),x11303) % 0.91/1.06 [1131]~P50(x11313)+P9(x11311,x11312,x11313)+~P9(f8(x11314,x11312,x11313),f8(x11314,x11311,x11313),x11313)+~P8(x11314,f2(x11313),x11313) % 0.91/1.06 [1132]~P33(x11323)+P8(x11321,x11322,x11323)+~P9(f2(x11323),x11322,x11323)+~P8(f28(x11321,x11324,x11323),f28(x11322,x11324,x11323),x11323) % 0.91/1.06 [1133]~P51(x11333)+P8(x11331,x11332,x11333)+~P8(f8(x11334,x11331,x11333),f8(x11334,x11332,x11333),x11333)+~P9(f2(x11333),x11334,x11333) % 0.91/1.06 [1134]~P51(x11343)+P8(x11341,x11342,x11343)+~P8(f8(x11341,x11344,x11343),f8(x11342,x11344,x11343),x11343)+~P9(f2(x11343),x11344,x11343) % 0.91/1.06 [1135]~P50(x11353)+P8(x11351,x11352,x11353)+~P8(f8(x11354,x11351,x11353),f8(x11354,x11352,x11353),x11353)+~P8(f2(x11353),x11354,x11353) % 0.91/1.06 [1136]~P52(x11363)+P8(x11361,x11362,x11363)+~P8(f8(x11364,x11361,x11363),f8(x11364,x11362,x11363),x11363)+~P9(f2(x11363),x11364,x11363) % 0.91/1.06 [1137]~P52(x11373)+P8(x11371,x11372,x11373)+~P8(f8(x11371,x11374,x11373),f8(x11372,x11374,x11373),x11373)+~P9(f2(x11373),x11374,x11373) % 0.91/1.06 [1138]~P51(x11383)+P9(x11381,x11382,x11383)+~P9(f8(x11384,x11381,x11383),f8(x11384,x11382,x11383),x11383)+~P8(f2(x11383),x11384,x11383) % 0.91/1.06 [1139]~P51(x11393)+P9(x11391,x11392,x11393)+~P9(f8(x11391,x11394,x11393),f8(x11392,x11394,x11393),x11393)+~P8(f2(x11393),x11394,x11393) % 0.91/1.06 [1140]~P50(x11403)+P9(x11401,x11402,x11403)+~P9(f8(x11404,x11401,x11403),f8(x11404,x11402,x11403),x11403)+~P8(f2(x11403),x11404,x11403) % 0.91/1.06 [854]~P43(x8542)+~P39(x8542)+E(x8541,f2(x8542))+E(f5(f8(x8543,x8541,x8542),f8(x8544,x8541,x8542),x8542),f5(x8543,x8544,x8542)) % 0.91/1.06 [855]~P43(x8552)+~P39(x8552)+E(x8551,f2(x8552))+E(f5(f8(x8551,x8553,x8552),f8(x8551,x8554,x8552),x8552),f5(x8553,x8554,x8552)) % 0.91/1.06 [1091]~P43(x10912)+~P9(x10914,x10913,a1)+E(x10911,f2(x10912))+E(f5(f28(x10911,x10913,x10912),f28(x10911,x10914,x10912),x10912),f28(x10911,f3(x10913,x10914,a1),x10912)) % 0.91/1.06 [1161]~P33(x11613)+P9(x11611,x11612,x11613)+~P9(f2(x11613),x11612,x11613)+~P9(f28(x11611,f27(x11614),x11613),f28(x11612,f27(x11614),x11613),x11613) % 0.91/1.06 [1121]~P43(x11212)+~P39(x11212)+E(x11211,f2(x11212))+E(f5(f6(x11213,f8(x11214,x11211,x11212),x11212),x11211,x11212),f6(x11214,f5(x11213,x11211,x11212),x11212)) % 0.91/1.06 [1122]~P43(x11222)+~P39(x11222)+E(x11221,f2(x11222))+E(f5(f6(x11223,f8(x11224,x11221,x11222),x11222),x11221,x11222),f6(f5(x11223,x11221,x11222),x11224,x11222)) % 0.91/1.06 [797]~P27(x7973)+~P8(x7974,x7975,x7973)+P8(x7971,x7972,x7973)+~E(f3(x7974,x7975,x7973),f3(x7971,x7972,x7973)) % 0.91/1.06 [798]~P27(x7983)+~P8(x7984,x7985,x7983)+P8(x7981,x7982,x7983)+~E(f3(x7981,x7982,x7983),f3(x7984,x7985,x7983)) % 0.91/1.06 [799]~P27(x7993)+~P9(x7995,x7994,x7993)+P9(x7991,x7992,x7993)+~E(f3(x7994,x7995,x7993),f3(x7992,x7991,x7993)) % 0.91/1.06 [800]~P27(x8003)+~P9(x8005,x8004,x8003)+P9(x8001,x8002,x8003)+~E(f3(x8002,x8001,x8003),f3(x8004,x8005,x8003)) % 0.91/1.06 [1021]~P34(x10213)+~P11(x10211,x10214,x10213)+~P9(x10212,x10215,a1)+P11(f28(x10211,x10212,x10213),f28(x10214,x10215,x10213),x10213) % 0.91/1.06 [1022]~P30(x10223)+~P8(x10222,x10225,x10223)+~P8(x10221,x10224,x10223)+P8(f6(x10221,x10222,x10223),f6(x10224,x10225,x10223),x10223) % 0.91/1.06 [1023]~P30(x10233)+~P8(x10232,x10235,x10233)+~P9(x10231,x10234,x10233)+P8(f6(x10231,x10232,x10233),f6(x10234,x10235,x10233),x10233) % 0.91/1.06 [1024]~P30(x10243)+~P8(x10241,x10244,x10243)+~P9(x10242,x10245,x10243)+P8(f6(x10241,x10242,x10243),f6(x10244,x10245,x10243),x10243) % 0.91/1.06 [1025]~P25(x10253)+~P9(x10252,x10255,x10253)+~P9(x10251,x10254,x10253)+P9(f6(x10251,x10252,x10253),f6(x10254,x10255,x10253),x10253) % 0.91/1.06 [1026]~P34(x10263)+~P11(x10262,x10265,x10263)+~P11(x10261,x10264,x10263)+P11(f8(x10261,x10262,x10263),f8(x10264,x10265,x10263),x10263) % 0.91/1.06 [1081]~P34(x10813)+~P11(f28(x10811,x10815,x10813),x10814,x10813)+P11(f28(x10811,x10812,x10813),x10814,x10813)+~P9(x10812,x10815,a1) % 0.91/1.06 [1082]~P27(x10824)+~P9(x10825,x10823,x10824)+~P9(x10821,f6(x10822,x10825,x10824),x10824)+P9(x10821,f6(x10822,x10823,x10824),x10824) % 0.91/1.06 [1205]~P43(x12052)+E(x12051,f2(x12052))+E(x12053,f2(x12052))+E(f5(f3(f8(x12054,x12051,x12052),f8(x12055,x12053,x12052),x12052),f8(x12053,x12051,x12052),x12052),f3(f5(x12054,x12053,x12052),f5(x12055,x12051,x12052),x12052)) % 0.91/1.06 [1206]~P43(x12062)+E(x12061,f2(x12062))+E(x12063,f2(x12062))+E(f5(f6(f8(x12064,x12061,x12062),f8(x12065,x12063,x12062),x12062),f8(x12063,x12061,x12062),x12062),f6(f5(x12064,x12063,x12062),f5(x12065,x12061,x12062),x12062)) % 0.91/1.06 [750]~P49(x7502)+~P39(x7502)+P8(f7(x7502),x7501,x7502)+~P8(f4(x7501,x7502),f7(x7502),x7502)+P9(x7501,f2(x7502),x7502) % 0.91/1.06 [751]~P49(x7512)+~P39(x7512)+P9(f7(x7512),x7511,x7512)+~P9(f4(x7511,x7512),f7(x7512),x7512)+P9(x7511,f2(x7512),x7512) % 0.91/1.06 [760]~P49(x7601)+~P39(x7601)+~P8(f2(x7601),x7602,x7601)+~P8(x7602,f7(x7601),x7601)+P8(f7(x7601),f4(x7602,x7601),x7601) % 0.91/1.06 [761]~P49(x7611)+~P39(x7611)+~P8(f2(x7611),x7612,x7611)+~P9(x7612,f7(x7611),x7611)+P9(f7(x7611),f4(x7612,x7611),x7611) % 0.91/1.06 [471]~P2(x4712)+~P62(x4712)+~P46(x4712)+~P47(x4712)+~E(f28(x4711,f2(a1),x4712),f2(x4712)) % 0.91/1.06 [336]~P40(x3363)+E(x3361,x3362)+~E(f4(x3361,x3363),f4(x3362,x3363))+E(x3362,f2(x3363))+E(x3361,f2(x3363)) % 0.91/1.06 [766]~P29(x7662)+~P9(f2(x7662),x7661,x7662)+~P9(f2(x7662),x7663,x7662)+~E(f6(x7663,x7661,x7662),f2(x7662))+E(x7661,f2(x7662)) % 0.91/1.06 [767]~P29(x7672)+~P9(f2(x7672),x7673,x7672)+~P9(f2(x7672),x7671,x7672)+~E(f6(x7671,x7673,x7672),f2(x7672))+E(x7671,f2(x7672)) % 0.91/1.06 [935]~P49(x9351)+~P39(x9351)+~P9(x9353,f2(x9351),x9351)+~P9(x9352,f2(x9351),x9351)+P9(f2(x9351),f5(x9352,x9353,x9351),x9351) % 0.91/1.06 [937]~P49(x9371)+~P39(x9371)+~P9(f2(x9371),x9373,x9371)+~P9(f2(x9371),x9372,x9371)+P9(f2(x9371),f5(x9372,x9373,x9371),x9371) % 0.91/1.06 [940]~P49(x9403)+~P39(x9403)+~P9(x9402,f2(x9403),x9403)+~P9(f2(x9403),x9401,x9403)+P9(f5(x9401,x9402,x9403),f2(x9403),x9403) % 0.91/1.06 [941]~P49(x9413)+~P39(x9413)+~P9(x9411,f2(x9413),x9413)+~P9(f2(x9413),x9412,x9413)+P9(f5(x9411,x9412,x9413),f2(x9413),x9413) % 0.91/1.06 [963]~P49(x9632)+~P39(x9632)+~P8(f5(x9633,x9631,x9632),f2(x9632),x9632)+P8(x9631,f2(x9632),x9632)+P8(x9633,f2(x9632),x9632) % 0.91/1.06 [964]~P49(x9642)+~P39(x9642)+~P9(f5(x9643,x9641,x9642),f2(x9642),x9642)+P9(x9641,f2(x9642),x9642)+P9(x9643,f2(x9642),x9642) % 0.91/1.06 [965]~P49(x9652)+~P39(x9652)+~P8(f2(x9652),f5(x9653,x9651,x9652),x9652)+P8(x9651,f2(x9652),x9652)+P8(f2(x9652),x9653,x9652) % 0.91/1.06 [966]~P49(x9662)+~P39(x9662)+~P8(f2(x9662),f5(x9661,x9663,x9662),x9662)+P8(x9661,f2(x9662),x9662)+P8(f2(x9662),x9663,x9662) % 0.91/1.06 [967]~P49(x9672)+~P39(x9672)+~P8(f2(x9672),f5(x9673,x9671,x9672),x9672)+P8(x9671,f2(x9672),x9672)+P8(f2(x9672),x9671,x9672) % 0.91/1.06 [968]~P49(x9682)+~P39(x9682)+~P8(f2(x9682),f5(x9681,x9683,x9682),x9682)+P8(x9681,f2(x9682),x9682)+P8(f2(x9682),x9681,x9682) % 0.91/1.06 [969]~P49(x9692)+~P39(x9692)+~P9(f2(x9692),f5(x9693,x9691,x9692),x9692)+P9(x9691,f2(x9692),x9692)+P9(f2(x9692),x9693,x9692) % 0.91/1.06 [970]~P49(x9702)+~P39(x9702)+~P9(f2(x9702),f5(x9701,x9703,x9702),x9702)+P9(x9701,f2(x9702),x9702)+P9(f2(x9702),x9703,x9702) % 0.91/1.06 [971]~P49(x9712)+~P39(x9712)+~P9(f2(x9712),f5(x9713,x9711,x9712),x9712)+P9(x9711,f2(x9712),x9712)+P9(f2(x9712),x9711,x9712) % 0.91/1.06 [972]~P49(x9722)+~P39(x9722)+~P9(f2(x9722),f5(x9721,x9723,x9722),x9722)+P9(x9721,f2(x9722),x9722)+P9(f2(x9722),x9721,x9722) % 0.91/1.06 [973]~P49(x9732)+~P39(x9732)+~P8(f5(x9733,x9731,x9732),f2(x9732),x9732)+P8(x9731,f2(x9732),x9732)+P8(f2(x9732),x9731,x9732) % 0.91/1.06 [974]~P49(x9742)+~P39(x9742)+~P8(f5(x9741,x9743,x9742),f2(x9742),x9742)+P8(x9741,f2(x9742),x9742)+P8(f2(x9742),x9741,x9742) % 0.91/1.06 [975]~P49(x9752)+~P39(x9752)+~P9(f5(x9753,x9751,x9752),f2(x9752),x9752)+P9(x9751,f2(x9752),x9752)+P9(f2(x9752),x9751,x9752) % 0.91/1.06 [976]~P49(x9762)+~P39(x9762)+~P9(f5(x9761,x9763,x9762),f2(x9762),x9762)+P9(x9761,f2(x9762),x9762)+P9(f2(x9762),x9761,x9762) % 0.91/1.06 [977]~P49(x9771)+~P39(x9771)+~P8(f5(x9772,x9773,x9771),f2(x9771),x9771)+P8(f2(x9771),x9772,x9771)+P8(f2(x9771),x9773,x9771) % 0.91/1.06 [978]~P49(x9781)+~P39(x9781)+~P9(f5(x9782,x9783,x9781),f2(x9781),x9781)+P9(f2(x9781),x9782,x9781)+P9(f2(x9781),x9783,x9781) % 0.91/1.06 [1036]~P48(x10363)+~P9(x10361,f7(x10363),x10363)+~P9(f2(x10363),x10362,x10363)+~P9(f2(x10363),x10361,x10363)+P9(f8(x10361,x10362,x10363),x10362,x10363) % 0.91/1.06 [1037]~P48(x10373)+~P9(x10372,f7(x10373),x10373)+~P9(f2(x10373),x10372,x10373)+~P9(f2(x10373),x10371,x10373)+P9(f8(x10371,x10372,x10373),x10371,x10373) % 0.91/1.06 [873]~P24(x8734)+~P5(x8734)+~P8(x8731,x8733,x8734)+~P9(f2(x8734),x8732,x8734)+P8(x8731,f6(x8732,x8733,x8734),x8734) % 0.91/1.06 [874]~P24(x8744)+~P5(x8744)+~P9(x8741,x8743,x8744)+~P8(f2(x8744),x8742,x8744)+P8(x8741,f6(x8742,x8743,x8744),x8744) % 0.91/1.06 [875]~P24(x8754)+~P5(x8754)+~P9(x8751,x8753,x8754)+~P9(f2(x8754),x8752,x8754)+P9(x8751,f6(x8752,x8753,x8754),x8754) % 0.91/1.06 [876]~P24(x8764)+~P5(x8764)+~P9(x8761,x8762,x8764)+~P9(f2(x8764),x8763,x8764)+P9(x8761,f6(x8762,x8763,x8764),x8764) % 0.91/1.06 [1064]~P49(x10643)+~P39(x10643)+~P9(x10644,x10641,x10643)+~P9(x10642,f2(x10643),x10643)+P9(f5(x10641,x10642,x10643),f5(x10644,x10642,x10643),x10643) % 0.91/1.06 [1065]~P49(x10653)+~P39(x10653)+~P9(x10651,x10654,x10653)+~P9(f2(x10653),x10652,x10653)+P9(f5(x10651,x10652,x10653),f5(x10654,x10652,x10653),x10653) % 0.91/1.06 [1092]~P49(x10924)+~P39(x10924)+~P8(f2(x10924),x10923,x10924)+~P8(f5(x10921,x10923,x10924),x10922,x10924)+P8(x10921,f8(x10922,x10923,x10924),x10924) % 0.91/1.06 [1094]~P49(x10944)+~P39(x10944)+~P8(f2(x10944),x10943,x10944)+~P9(f5(x10941,x10943,x10944),x10942,x10944)+P9(x10941,f8(x10942,x10943,x10944),x10944) % 0.91/1.06 [1096]~P49(x10963)+~P39(x10963)+~P8(f2(x10963),x10962,x10963)+~P8(x10961,f5(x10964,x10962,x10963),x10963)+P8(f8(x10961,x10962,x10963),x10964,x10963) % 0.91/1.06 [1098]~P49(x10983)+~P39(x10983)+~P8(f2(x10983),x10982,x10983)+~P9(x10981,f5(x10984,x10982,x10983),x10983)+P9(f8(x10981,x10982,x10983),x10984,x10983) % 0.91/1.06 [1109]~P33(x11093)+~P8(x11091,x11094,x11093)+~P9(f2(x11093),x11091,x11093)+P8(f28(x11091,x11092,x11093),f28(x11094,x11092,x11093),x11093)+~P8(f2(a1),x11092,a1) % 0.91/1.06 [1115]~P33(x11153)+~P8(x11154,x11152,a1)+~P8(x11151,f7(x11153),x11153)+~P8(f2(x11153),x11151,x11153)+P8(f28(x11151,x11152,x11153),f28(x11151,x11154,x11153),x11153) % 0.91/1.06 [1116]~P33(x11163)+~P9(x11164,x11162,a1)+~P9(x11161,f7(x11163),x11163)+~P9(f2(x11163),x11161,x11163)+P9(f28(x11161,x11162,x11163),f28(x11161,x11164,x11163),x11163) % 0.91/1.06 [1177]~P49(x11773)+~P8(x11772,x11774,x11773)+~P8(x11771,f2(x11773),x11773)+~P8(f2(x11773),f8(x11772,x11774,x11773),x11773)+P8(f5(x11771,x11772,x11773),f5(x11771,x11774,x11773),x11773) % 0.91/1.06 [1178]~P49(x11783)+~P8(x11784,x11782,x11783)+~P8(f2(x11783),x11781,x11783)+~P8(f2(x11783),f8(x11782,x11784,x11783),x11783)+P8(f5(x11781,x11782,x11783),f5(x11781,x11784,x11783),x11783) % 0.91/1.06 [1179]~P49(x11793)+~P9(x11794,x11792,x11793)+~P9(f2(x11793),x11791,x11793)+~P8(f2(x11793),f8(x11792,x11794,x11793),x11793)+P9(f5(x11791,x11792,x11793),f5(x11791,x11794,x11793),x11793) % 0.91/1.06 [945]~P33(x9454)+E(x9451,x9452)+~P9(f2(x9454),x9452,x9454)+~P9(f2(x9454),x9451,x9454)+~E(f28(x9451,f27(x9453),x9454),f28(x9452,f27(x9453),x9454)) % 0.91/1.06 [768]~P43(x7682)+~E(f5(x7684,x7683,x7682),f5(x7685,x7681,x7682))+E(f8(x7684,x7681,x7682),f8(x7685,x7683,x7682))+E(x7681,f2(x7682))+E(x7683,f2(x7682)) % 0.91/1.06 [769]~P43(x7692)+~E(f8(x7694,x7693,x7692),f8(x7695,x7691,x7692))+E(f5(x7694,x7691,x7692),f5(x7695,x7693,x7692))+E(x7691,f2(x7692))+E(x7693,f2(x7692)) % 0.91/1.06 [1100]~P13(x11004)+~P44(x11004)+E(x11001,x11002)+E(x11003,f2(x11004))+~E(f6(x11005,f8(x11003,x11001,x11004),x11004),f6(x11005,f8(x11003,x11002,x11004),x11004)) % 0.91/1.06 [1194]~P13(x11945)+~P44(x11945)+E(x11941,x11942)+E(x11943,x11944)+~E(f6(f8(x11943,x11941,x11945),f8(x11944,x11942,x11945),x11945),f6(f8(x11943,x11942,x11945),f8(x11944,x11941,x11945),x11945)) % 0.91/1.06 [1212]~P38(x12125)+~P37(x12125)+~P11(x12121,x12124,x12125)+~P11(x12121,f6(x12122,x12126,x12125),x12125)+P11(x12121,f6(f3(x12122,f8(x12123,x12124,x12125),x12125),x12126,x12125),x12125) % 0.91/1.06 [1213]~P38(x12134)+~P37(x12134)+~P11(x12131,x12135,x12134)+P11(x12131,f6(x12132,x12133,x12134),x12134)+~P11(x12131,f6(f3(x12132,f8(x12136,x12135,x12134),x12134),x12133,x12134),x12134) % 0.91/1.06 [412]~P2(x4122)+~P62(x4122)+~P46(x4122)+~P47(x4122)+E(x4121,f2(a1))+E(f28(f2(x4122),x4121,x4122),f2(x4122)) % 0.91/1.06 [472]~P2(x4722)+~P62(x4722)+~P46(x4722)+~P47(x4722)+~E(f28(x4721,x4723,x4722),f2(x4722))+E(x4721,f2(x4722)) % 0.91/1.06 [954]~P49(x9542)+~P39(x9542)+P8(x9541,f2(x9542),x9542)+P8(f2(x9542),x9541,x9542)+~P8(x9543,f2(x9542),x9542)+P8(x9543,f5(x9544,x9541,x9542),x9542) % 0.91/1.06 [955]~P49(x9552)+~P39(x9552)+P8(x9551,f2(x9552),x9552)+P8(f2(x9552),x9551,x9552)+~P9(x9553,f2(x9552),x9552)+P9(x9553,f5(x9554,x9551,x9552),x9552) % 0.91/1.06 [956]~P49(x9562)+~P39(x9562)+P8(x9561,f2(x9562),x9562)+P8(f2(x9562),x9561,x9562)+~P8(f2(x9562),x9564,x9562)+P8(f5(x9563,x9561,x9562),x9564,x9562) % 0.91/1.06 [957]~P49(x9572)+~P39(x9572)+P8(x9571,f2(x9572),x9572)+P8(f2(x9572),x9571,x9572)+~P9(f2(x9572),x9574,x9572)+P9(f5(x9573,x9571,x9572),x9574,x9572) % 0.91/1.06 [1028]~P49(x10282)+~P39(x10282)+P8(x10281,f2(x10282),x10282)+P8(f2(x10282),x10281,x10282)+~P8(x10283,f5(x10284,x10281,x10282),x10282)+P8(x10283,f2(x10282),x10282) % 0.91/1.06 [1029]~P49(x10292)+~P39(x10292)+P8(x10291,f2(x10292),x10292)+P8(f2(x10292),x10291,x10292)+~P9(x10293,f5(x10294,x10291,x10292),x10292)+P9(x10293,f2(x10292),x10292) % 0.91/1.06 [1030]~P49(x10302)+~P39(x10302)+P8(x10301,f2(x10302),x10302)+P8(f2(x10302),x10301,x10302)+~P8(f5(x10304,x10301,x10302),x10303,x10302)+P8(f2(x10302),x10303,x10302) % 0.91/1.06 [1031]~P49(x10312)+~P39(x10312)+P8(x10311,f2(x10312),x10312)+P8(f2(x10312),x10311,x10312)+~P9(f5(x10314,x10311,x10312),x10313,x10312)+P9(f2(x10312),x10313,x10312) % 0.91/1.06 [1059]~P33(x10594)+E(x10591,x10592)+~P9(f2(x10594),x10592,x10594)+~P9(f2(x10594),x10591,x10594)+~E(f28(x10591,x10593,x10594),f28(x10592,x10593,x10594))+~P8(f2(a1),x10593,a1) % 0.91/1.06 [1142]~P49(x11422)+~P39(x11422)+~P8(f8(x11423,x11421,x11422),x11424,x11422)+P8(x11421,f2(x11422),x11422)+~P8(x11423,f2(x11422),x11422)+P8(x11423,f5(x11424,x11421,x11422),x11422) % 0.91/1.06 [1143]~P49(x11432)+~P39(x11432)+~P9(f8(x11433,x11431,x11432),x11434,x11432)+P8(x11431,f2(x11432),x11432)+~P9(x11433,f2(x11432),x11432)+P9(x11433,f5(x11434,x11431,x11432),x11432) % 0.91/1.06 [1144]~P49(x11442)+~P39(x11442)+~P8(x11443,f8(x11444,x11441,x11442),x11442)+P8(x11441,f2(x11442),x11442)+~P8(f2(x11442),x11444,x11442)+P8(f5(x11443,x11441,x11442),x11444,x11442) % 0.91/1.06 [1145]~P49(x11452)+~P39(x11452)+~P9(x11453,f8(x11454,x11451,x11452),x11452)+P8(x11451,f2(x11452),x11452)+~P9(f2(x11452),x11454,x11452)+P9(f5(x11453,x11451,x11452),x11454,x11452) % 0.91/1.06 [1146]~P49(x11461)+~P39(x11461)+~P8(x11464,f5(x11463,x11462,x11461),x11461)+~P8(x11462,f2(x11461),x11461)+P8(f2(x11461),x11462,x11461)+P8(x11463,f8(x11464,x11462,x11461),x11461) % 0.91/1.06 [1147]~P49(x11471)+~P39(x11471)+~P8(x11474,f8(x11473,x11472,x11471),x11471)+~P8(x11472,f2(x11471),x11471)+P8(f2(x11471),x11472,x11471)+P8(x11473,f5(x11474,x11472,x11471),x11471) % 0.91/1.06 [1148]~P49(x11481)+~P39(x11481)+~P8(x11484,f8(x11483,x11482,x11481),x11481)+~P8(x11483,f2(x11481),x11481)+P8(f2(x11481),x11482,x11481)+P8(x11483,f5(x11484,x11482,x11481),x11481) % 0.91/1.06 [1149]~P49(x11491)+~P39(x11491)+~P9(x11494,f5(x11493,x11492,x11491),x11491)+~P8(x11492,f2(x11491),x11491)+P8(f2(x11491),x11492,x11491)+P9(x11493,f8(x11494,x11492,x11491),x11491) % 0.91/1.06 [1150]~P49(x11501)+~P39(x11501)+~P9(x11504,f8(x11503,x11502,x11501),x11501)+~P8(x11502,f2(x11501),x11501)+P8(f2(x11501),x11502,x11501)+P9(x11503,f5(x11504,x11502,x11501),x11501) % 0.91/1.06 [1151]~P49(x11511)+~P39(x11511)+~P9(x11514,f8(x11513,x11512,x11511),x11511)+~P9(x11513,f2(x11511),x11511)+P8(f2(x11511),x11512,x11511)+P9(x11513,f5(x11514,x11512,x11511),x11511) % 0.91/1.06 [1152]~P49(x11521)+~P39(x11521)+~P8(f5(x11524,x11522,x11521),x11523,x11521)+~P8(x11522,f2(x11521),x11521)+P8(f2(x11521),x11522,x11521)+P8(f8(x11523,x11522,x11521),x11524,x11521) % 0.91/1.06 [1153]~P49(x11531)+~P39(x11531)+~P8(f8(x11534,x11532,x11531),x11533,x11531)+~P8(x11532,f2(x11531),x11531)+P8(f2(x11531),x11532,x11531)+P8(f5(x11533,x11532,x11531),x11534,x11531) % 0.91/1.06 [1154]~P49(x11541)+~P39(x11541)+~P9(f5(x11544,x11542,x11541),x11543,x11541)+~P8(x11542,f2(x11541),x11541)+P8(f2(x11541),x11542,x11541)+P9(f8(x11543,x11542,x11541),x11544,x11541) % 0.91/1.06 [1155]~P49(x11551)+~P39(x11551)+~P9(f8(x11554,x11552,x11551),x11553,x11551)+~P8(x11552,f2(x11551),x11551)+P8(f2(x11551),x11552,x11551)+P9(f5(x11553,x11552,x11551),x11554,x11551) % 0.91/1.06 [1156]~P49(x11561)+~P39(x11561)+~P8(f8(x11564,x11562,x11561),x11563,x11561)+~P8(f2(x11561),x11564,x11561)+P8(f2(x11561),x11562,x11561)+P8(f5(x11563,x11562,x11561),x11564,x11561) % 0.91/1.06 [1157]~P49(x11571)+~P39(x11571)+~P9(f8(x11574,x11572,x11571),x11573,x11571)+~P9(f2(x11571),x11574,x11571)+P8(f2(x11571),x11572,x11571)+P9(f5(x11573,x11572,x11571),x11574,x11571) % 0.91/1.06 [1180]~P49(x11803)+~P39(x11803)+~P9(x11802,x11804,x11803)+~P9(x11801,f2(x11803),x11803)+~P8(f2(x11803),f8(x11802,x11804,x11803),x11803)+P9(f5(x11801,x11802,x11803),f5(x11801,x11804,x11803),x11803) % 0.91/1.06 [1183]~P49(x11834)+~P39(x11834)+~P8(x11833,f2(x11834),x11834)+~P8(x11832,f8(x11831,x11833,x11834),x11834)+~P8(f8(x11831,x11833,x11834),x11832,x11834)+P8(x11831,f5(x11832,x11833,x11834),x11834) % 0.91/1.06 [1184]~P49(x11844)+~P39(x11844)+~P8(x11841,f2(x11844),x11844)+~P8(x11842,f8(x11841,x11843,x11844),x11844)+~P8(f8(x11841,x11843,x11844),x11842,x11844)+P8(x11841,f5(x11842,x11843,x11844),x11844) % 0.91/1.06 [1185]~P49(x11854)+~P39(x11854)+~P8(x11853,f2(x11854),x11854)+~P9(x11852,f8(x11851,x11853,x11854),x11854)+~P9(f8(x11851,x11853,x11854),x11852,x11854)+P9(x11851,f5(x11852,x11853,x11854),x11854) % 0.91/1.06 [1186]~P49(x11864)+~P39(x11864)+~P9(x11861,f2(x11864),x11864)+~P9(x11862,f8(x11861,x11863,x11864),x11864)+~P9(f8(x11861,x11863,x11864),x11862,x11864)+P9(x11861,f5(x11862,x11863,x11864),x11864) % 0.91/1.06 [1187]~P49(x11873)+~P39(x11873)+~P8(x11872,f2(x11873),x11873)+~P8(x11871,f8(x11874,x11872,x11873),x11873)+~P8(f8(x11874,x11872,x11873),x11871,x11873)+P8(f5(x11871,x11872,x11873),x11874,x11873) % 0.91/1.06 [1188]~P49(x11883)+~P39(x11883)+~P8(x11882,f2(x11883),x11883)+~P9(x11881,f8(x11884,x11882,x11883),x11883)+~P9(f8(x11884,x11882,x11883),x11881,x11883)+P9(f5(x11881,x11882,x11883),x11884,x11883) % 0.91/1.06 [1189]~P49(x11893)+~P39(x11893)+~P8(f2(x11893),x11894,x11893)+~P8(x11891,f8(x11894,x11892,x11893),x11893)+~P8(f8(x11894,x11892,x11893),x11891,x11893)+P8(f5(x11891,x11892,x11893),x11894,x11893) % 0.91/1.06 [1190]~P49(x11903)+~P39(x11903)+~P9(f2(x11903),x11904,x11903)+~P9(x11901,f8(x11904,x11902,x11903),x11903)+~P9(f8(x11904,x11902,x11903),x11901,x11903)+P9(f5(x11901,x11902,x11903),x11904,x11903) % 0.91/1.06 [1164]~P51(x11643)+~P8(x11642,x11645,x11643)+~P8(x11641,x11644,x11643)+~P8(f2(x11643),x11644,x11643)+~P9(f2(x11643),x11642,x11643)+P8(f8(x11641,x11642,x11643),f8(x11644,x11645,x11643),x11643) % 0.91/1.06 [1165]~P51(x11653)+~P8(x11652,x11655,x11653)+~P8(x11651,x11654,x11653)+~P9(f2(x11653),x11652,x11653)+~P9(f2(x11653),x11651,x11653)+P8(f8(x11651,x11652,x11653),f8(x11654,x11655,x11653),x11653) % 0.91/1.06 [1166]~P51(x11663)+~P8(x11662,x11665,x11663)+~P9(x11661,x11664,x11663)+~P8(f2(x11663),x11661,x11663)+~P9(f2(x11663),x11662,x11663)+P8(f8(x11661,x11662,x11663),f8(x11664,x11665,x11663),x11663) % 0.91/1.06 [1167]~P51(x11673)+~P8(x11671,x11674,x11673)+~P9(x11672,x11675,x11673)+~P8(f2(x11673),x11672,x11673)+~P9(f2(x11673),x11671,x11673)+P8(f8(x11671,x11672,x11673),f8(x11674,x11675,x11673),x11673) % 0.91/1.06 [1168]~P49(x11683)+~P8(x11685,x11682,x11683)+~P9(x11681,x11684,x11683)+~P8(f2(x11683),x11685,x11683)+~P8(f2(x11683),x11681,x11683)+P8(f5(x11681,x11682,x11683),f5(x11684,x11685,x11683),x11683) % 0.91/1.06 [1169]~P49(x11693)+~P8(x11691,x11694,x11693)+~P9(x11695,x11692,x11693)+~P8(f2(x11693),x11695,x11693)+~P9(f2(x11693),x11691,x11693)+P8(f5(x11691,x11692,x11693),f5(x11694,x11695,x11693),x11693) % 0.91/1.06 [1170]~P55(x11703)+~P9(x11702,x11705,x11703)+~P9(x11701,x11704,x11703)+~P9(f2(x11703),x11704,x11703)+~P9(f2(x11703),x11702,x11703)+P9(f8(x11701,x11702,x11703),f8(x11704,x11705,x11703),x11703) % 0.91/1.06 [1171]~P55(x11713)+~P9(x11712,x11715,x11713)+~P9(x11711,x11714,x11713)+~P9(f2(x11713),x11712,x11713)+~P9(f2(x11713),x11711,x11713)+P9(f8(x11711,x11712,x11713),f8(x11714,x11715,x11713),x11713) % 0.91/1.06 [1172]~P49(x11723)+~P9(x11725,x11722,x11723)+~P9(x11721,x11724,x11723)+~P8(f2(x11723),x11725,x11723)+~P9(f2(x11723),x11721,x11723)+P9(f5(x11721,x11722,x11723),f5(x11724,x11725,x11723),x11723) % 0.91/1.06 %EqnAxiom % 0.91/1.06 [1]E(x11,x11) % 0.91/1.06 [2]E(x22,x21)+~E(x21,x22) % 0.91/1.06 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 0.91/1.06 [4]~E(x41,x42)+E(f2(x41),f2(x42)) % 0.91/1.06 [5]~E(x51,x52)+E(f11(x51),f11(x52)) % 0.91/1.06 [6]~E(x61,x62)+E(f6(x61,x63,x64),f6(x62,x63,x64)) % 0.91/1.06 [7]~E(x71,x72)+E(f6(x73,x71,x74),f6(x73,x72,x74)) % 0.91/1.06 [8]~E(x81,x82)+E(f6(x83,x84,x81),f6(x83,x84,x82)) % 0.91/1.06 [9]~E(x91,x92)+E(f24(x91),f24(x92)) % 0.91/1.06 [10]~E(x101,x102)+E(f8(x101,x103,x104),f8(x102,x103,x104)) % 0.91/1.06 [11]~E(x111,x112)+E(f8(x113,x111,x114),f8(x113,x112,x114)) % 0.91/1.06 [12]~E(x121,x122)+E(f8(x123,x124,x121),f8(x123,x124,x122)) % 0.91/1.06 [13]~E(x131,x132)+E(f12(x131),f12(x132)) % 0.91/1.06 [14]~E(x141,x142)+E(f27(x141),f27(x142)) % 0.91/1.06 [15]~E(x151,x152)+E(f15(x151),f15(x152)) % 0.91/1.06 [16]~E(x161,x162)+E(f3(x161,x163,x164),f3(x162,x163,x164)) % 0.91/1.06 [17]~E(x171,x172)+E(f3(x173,x171,x174),f3(x173,x172,x174)) % 0.91/1.06 [18]~E(x181,x182)+E(f3(x183,x184,x181),f3(x183,x184,x182)) % 0.91/1.06 [19]~E(x191,x192)+E(f16(x191,x193),f16(x192,x193)) % 0.91/1.06 [20]~E(x201,x202)+E(f16(x203,x201),f16(x203,x202)) % 0.91/1.06 [21]~E(x211,x212)+E(f7(x211),f7(x212)) % 0.91/1.06 [22]~E(x221,x222)+E(f5(x221,x223,x224),f5(x222,x223,x224)) % 0.91/1.06 [23]~E(x231,x232)+E(f5(x233,x231,x234),f5(x233,x232,x234)) % 0.91/1.06 [24]~E(x241,x242)+E(f5(x243,x244,x241),f5(x243,x244,x242)) % 0.91/1.06 [25]~E(x251,x252)+E(f28(x251,x253,x254),f28(x252,x253,x254)) % 0.91/1.06 [26]~E(x261,x262)+E(f28(x263,x261,x264),f28(x263,x262,x264)) % 0.91/1.06 [27]~E(x271,x272)+E(f28(x273,x274,x271),f28(x273,x274,x272)) % 0.91/1.06 [28]~E(x281,x282)+E(f23(x281,x283),f23(x282,x283)) % 0.91/1.06 [29]~E(x291,x292)+E(f23(x293,x291),f23(x293,x292)) % 0.91/1.06 [30]~E(x301,x302)+E(f4(x301,x303),f4(x302,x303)) % 0.91/1.06 [31]~E(x311,x312)+E(f4(x313,x311),f4(x313,x312)) % 0.91/1.06 [32]~E(x321,x322)+E(f25(x321,x323,x324),f25(x322,x323,x324)) % 0.91/1.06 [33]~E(x331,x332)+E(f25(x333,x331,x334),f25(x333,x332,x334)) % 0.91/1.06 [34]~E(x341,x342)+E(f25(x343,x344,x341),f25(x343,x344,x342)) % 0.91/1.06 [35]~E(x351,x352)+E(f9(x351,x353),f9(x352,x353)) % 0.91/1.06 [36]~E(x361,x362)+E(f9(x363,x361),f9(x363,x362)) % 0.91/1.06 [37]~E(x371,x372)+E(f10(x371,x373),f10(x372,x373)) % 0.91/1.06 [38]~E(x381,x382)+E(f10(x383,x381),f10(x383,x382)) % 0.91/1.06 [39]~E(x391,x392)+E(f20(x391,x393,x394),f20(x392,x393,x394)) % 0.91/1.06 [40]~E(x401,x402)+E(f20(x403,x401,x404),f20(x403,x402,x404)) % 0.91/1.06 [41]~E(x411,x412)+E(f20(x413,x414,x411),f20(x413,x414,x412)) % 0.91/1.06 [42]~E(x421,x422)+E(f26(x421,x423,x424),f26(x422,x423,x424)) % 0.91/1.06 [43]~E(x431,x432)+E(f26(x433,x431,x434),f26(x433,x432,x434)) % 0.91/1.06 [44]~E(x441,x442)+E(f26(x443,x444,x441),f26(x443,x444,x442)) % 0.91/1.06 [45]~E(x451,x452)+E(f21(x451,x453,x454),f21(x452,x453,x454)) % 0.91/1.06 [46]~E(x461,x462)+E(f21(x463,x461,x464),f21(x463,x462,x464)) % 0.91/1.06 [47]~E(x471,x472)+E(f21(x473,x474,x471),f21(x473,x474,x472)) % 0.91/1.06 [48]~E(x481,x482)+E(f13(x481,x483),f13(x482,x483)) % 0.91/1.06 [49]~E(x491,x492)+E(f13(x493,x491),f13(x493,x492)) % 0.91/1.06 [50]~E(x501,x502)+E(f22(x501,x503),f22(x502,x503)) % 0.91/1.06 [51]~E(x511,x512)+E(f22(x513,x511),f22(x513,x512)) % 0.91/1.06 [52]~E(x521,x522)+E(f14(x521),f14(x522)) % 0.91/1.06 [53]~E(x531,x532)+E(f19(x531,x533,x534),f19(x532,x533,x534)) % 0.91/1.06 [54]~E(x541,x542)+E(f19(x543,x541,x544),f19(x543,x542,x544)) % 0.91/1.06 [55]~E(x551,x552)+E(f19(x553,x554,x551),f19(x553,x554,x552)) % 0.91/1.06 [56]~E(x561,x562)+E(f18(x561,x563),f18(x562,x563)) % 0.91/1.06 [57]~E(x571,x572)+E(f18(x573,x571),f18(x573,x572)) % 0.91/1.06 [58]~E(x581,x582)+E(f17(x581,x583,x584),f17(x582,x583,x584)) % 0.91/1.06 [59]~E(x591,x592)+E(f17(x593,x591,x594),f17(x593,x592,x594)) % 0.91/1.06 [60]~E(x601,x602)+E(f17(x603,x604,x601),f17(x603,x604,x602)) % 0.91/1.06 [61]~P1(x611)+P1(x612)+~E(x611,x612) % 0.91/1.06 [62]~P2(x621)+P2(x622)+~E(x621,x622) % 0.91/1.06 [63]~P33(x631)+P33(x632)+~E(x631,x632) % 0.91/1.06 [64]~P51(x641)+P51(x642)+~E(x641,x642) % 0.91/1.06 [65]~P3(x651)+P3(x652)+~E(x651,x652) % 0.91/1.06 [66]~P34(x661)+P34(x662)+~E(x661,x662) % 0.91/1.06 [67]~P4(x671)+P4(x672)+~E(x671,x672) % 0.91/1.06 [68]~P20(x681)+P20(x682)+~E(x681,x682) % 0.91/1.06 [69]~P24(x691)+P24(x692)+~E(x691,x692) % 0.91/1.06 [70]~P5(x701)+P5(x702)+~E(x701,x702) % 0.91/1.06 [71]~P38(x711)+P38(x712)+~E(x711,x712) % 0.91/1.06 [72]~P28(x721)+P28(x722)+~E(x721,x722) % 0.91/1.06 [73]~P6(x731)+P6(x732)+~E(x731,x732) % 0.91/1.06 [74]~P52(x741)+P52(x742)+~E(x741,x742) % 0.91/1.06 [75]~P29(x751)+P29(x752)+~E(x751,x752) % 0.91/1.06 [76]~P25(x761)+P25(x762)+~E(x761,x762) % 0.91/1.06 [77]~P31(x771)+P31(x772)+~E(x771,x772) % 0.91/1.06 [78]~P32(x781)+P32(x782)+~E(x781,x782) % 0.91/1.06 [79]~P14(x791)+P14(x792)+~E(x791,x792) % 0.91/1.06 [80]~P61(x801)+P61(x802)+~E(x801,x802) % 0.91/1.06 [81]~P53(x811)+P53(x812)+~E(x811,x812) % 0.91/1.06 [82]~P54(x821)+P54(x822)+~E(x821,x822) % 0.91/1.06 [83]~P16(x831)+P16(x832)+~E(x831,x832) % 0.91/1.06 [84]~P19(x841)+P19(x842)+~E(x841,x842) % 0.91/1.06 [85]~P30(x851)+P30(x852)+~E(x851,x852) % 0.91/1.06 [86]~P41(x861)+P41(x862)+~E(x861,x862) % 0.91/1.06 [87]~P55(x871)+P55(x872)+~E(x871,x872) % 0.91/1.06 [88]~P42(x881)+P42(x882)+~E(x881,x882) % 0.91/1.06 [89]~P45(x891)+P45(x892)+~E(x891,x892) % 0.91/1.06 [90]~P62(x901)+P62(x902)+~E(x901,x902) % 0.91/1.06 [91]~P46(x911)+P46(x912)+~E(x911,x912) % 0.91/1.06 [92]~P47(x921)+P47(x922)+~E(x921,x922) % 0.91/1.06 [93]~P17(x931)+P17(x932)+~E(x931,x932) % 0.91/1.06 [94]~P35(x941)+P35(x942)+~E(x941,x942) % 0.91/1.06 [95]~P21(x951)+P21(x952)+~E(x951,x952) % 0.91/1.06 [96]~P7(x961)+P7(x962)+~E(x961,x962) % 0.91/1.06 [97]P8(x972,x973,x974)+~E(x971,x972)+~P8(x971,x973,x974) % 0.91/1.06 [98]P8(x983,x982,x984)+~E(x981,x982)+~P8(x983,x981,x984) % 0.91/1.06 [99]P8(x993,x994,x992)+~E(x991,x992)+~P8(x993,x994,x991) % 0.91/1.06 [100]P9(x1002,x1003,x1004)+~E(x1001,x1002)+~P9(x1001,x1003,x1004) % 0.91/1.06 [101]P9(x1013,x1012,x1014)+~E(x1011,x1012)+~P9(x1013,x1011,x1014) % 0.91/1.06 [102]P9(x1023,x1024,x1022)+~E(x1021,x1022)+~P9(x1023,x1024,x1021) % 0.91/1.06 [103]~P56(x1031)+P56(x1032)+~E(x1031,x1032) % 0.91/1.06 [104]~P50(x1041)+P50(x1042)+~E(x1041,x1042) % 0.91/1.06 [105]~P49(x1051)+P49(x1052)+~E(x1051,x1052) % 0.91/1.06 [106]~P39(x1061)+P39(x1062)+~E(x1061,x1062) % 0.91/1.06 [107]~P59(x1071)+P59(x1072)+~E(x1071,x1072) % 0.91/1.06 [108]P11(x1082,x1083,x1084)+~E(x1081,x1082)+~P11(x1081,x1083,x1084) % 0.91/1.06 [109]P11(x1093,x1092,x1094)+~E(x1091,x1092)+~P11(x1093,x1091,x1094) % 0.91/1.06 [110]P11(x1103,x1104,x1102)+~E(x1101,x1102)+~P11(x1103,x1104,x1101) % 0.91/1.06 [111]~P27(x1111)+P27(x1112)+~E(x1111,x1112) % 0.91/1.06 [112]~P44(x1121)+P44(x1122)+~E(x1121,x1122) % 0.91/1.06 [113]~P13(x1131)+P13(x1132)+~E(x1131,x1132) % 0.91/1.06 [114]~P23(x1141)+P23(x1142)+~E(x1141,x1142) % 0.91/1.06 [115]~P22(x1151)+P22(x1152)+~E(x1151,x1152) % 0.91/1.06 [116]~P43(x1161)+P43(x1162)+~E(x1161,x1162) % 0.91/1.06 [117]~P26(x1171)+P26(x1172)+~E(x1171,x1172) % 0.91/1.06 [118]~P15(x1181)+P15(x1182)+~E(x1181,x1182) % 0.91/1.06 [119]~P40(x1191)+P40(x1192)+~E(x1191,x1192) % 0.91/1.06 [120]~P48(x1201)+P48(x1202)+~E(x1201,x1202) % 0.91/1.06 [121]P10(x1212,x1213)+~E(x1211,x1212)+~P10(x1211,x1213) % 0.91/1.06 [122]P10(x1223,x1222)+~E(x1221,x1222)+~P10(x1223,x1221) % 0.91/1.06 [123]~P36(x1231)+P36(x1232)+~E(x1231,x1232) % 0.91/1.06 [124]~P57(x1241)+P57(x1242)+~E(x1241,x1242) % 0.91/1.06 [125]~P58(x1251)+P58(x1252)+~E(x1251,x1252) % 0.91/1.06 [126]~P63(x1261)+P63(x1262)+~E(x1261,x1262) % 0.91/1.06 [127]~P37(x1271)+P37(x1272)+~E(x1271,x1272) % 0.91/1.06 [128]~P18(x1281)+P18(x1282)+~E(x1281,x1282) % 0.91/1.06 [129]~P12(x1291)+P12(x1292)+~E(x1291,x1292) % 0.91/1.06 [130]~P60(x1301)+P60(x1302)+~E(x1301,x1302) % 0.91/1.06 % 0.91/1.06 %------------------------------------------- % 0.91/1.06 cnf(1276,plain, % 0.91/1.06 ($false), % 0.91/1.06 inference(scs_inference,[],[166,286,474]), % 0.91/1.06 ['proof']). % 0.91/1.06 % SZS output end Proof % 0.91/1.06 % Total time :0.091243s %------------------------------------------------------------------------------