%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : ALG386-1 : TPTP v8.2.0. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % Computer : n011.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Mon Jun 24 03:41:34 EDT 2024 % Result : Unsatisfiable 0.56s 1.16s % Output : CNFRefutation 0.56s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.08/0.14 % Problem : ALG386-1 : TPTP v8.2.0. Released v4.1.0. % 0.08/0.14 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % 0.14/0.35 % Computer : n011.cluster.edu % 0.14/0.35 % Model : x86_64 x86_64 % 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.35 % Memory : 8042.1875MB % 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.35 % CPULimit : 300 % 0.14/0.35 % WCLimit : 300 % 0.14/0.35 % DateTime : Wed Jun 19 14:59:09 EDT 2024 % 0.14/0.35 % CPUTime : % 0.22/0.59 start to proof:theBenchmark % 0.56/1.12 %------------------------------------------- % 0.56/1.12 % File :CSE---1.7 % 0.56/1.12 % Problem :theBenchmark % 0.56/1.12 % Transform :cnf % 0.56/1.12 % Format :tptp:raw % 0.56/1.12 % Command :java -jar mcs_scs.jar %d %s % 0.56/1.12 % 0.56/1.12 % Result :Theorem 0.340000s % 0.56/1.12 % Output :CNFRefutation 0.340000s % 0.56/1.12 %------------------------------------------- % 0.56/1.12 %------------------------------------------------------------------------------ % 0.56/1.12 % File : ALG386-1 : TPTP v8.2.0. Released v4.1.0. % 0.56/1.12 % Domain : General Algebra % 0.56/1.12 % Problem : Fundamental theorem of algebra 0537_98 % 0.56/1.12 % Version : Especial. % 0.56/1.13 % English : % 0.56/1.13 % 0.56/1.13 % Refs : [Nip10] Nipkow (2010), Email to Geoff Sutcliffe % 0.56/1.13 % : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day % 0.56/1.13 % Source : [Nip10] % 0.56/1.13 % Names : Fundamental_Theorem_Algebra-0537_98 [Nip10] % 0.56/1.13 % 0.56/1.13 % Status : Unsatisfiable % 0.56/1.13 % Rating : 0.20 v8.2.0, 0.24 v8.1.0, 0.21 v7.4.0, 0.24 v7.3.0, 0.17 v7.0.0, 0.27 v6.3.0, 0.18 v6.2.0, 0.20 v6.1.0, 0.14 v6.0.0, 0.20 v5.5.0, 0.45 v5.3.0, 0.44 v5.2.0, 0.38 v5.1.0, 0.41 v5.0.0, 0.29 v4.1.0 % 0.56/1.13 % Syntax : Number of clauses : 594 ( 135 unt; 60 nHn; 369 RR) % 0.56/1.13 % Number of literals : 1431 ( 380 equ; 769 neg) % 0.56/1.13 % Maximal clause size : 6 ( 2 avg) % 0.56/1.13 % Maximal term depth : 6 ( 1 avg) % 0.56/1.13 % Number of predicates : 63 ( 62 usr; 1 prp; 0-3 aty) % 0.56/1.13 % Number of functors : 32 ( 32 usr; 5 con; 0-3 aty) % 0.56/1.13 % Number of variables : 1291 ( 56 sgn) % 0.56/1.13 % SPC : CNF_UNS_RFO_SEQ_NHN % 0.56/1.13 % 0.56/1.13 % Comments : % 0.56/1.13 %------------------------------------------------------------------------------ % 0.56/1.13 cnf(cls_real__minus__mult__self__le_0,axiom, % 0.56/1.13 c_lessequals(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(V_u,V_u,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_x,V_x,tc_RealDef_Oreal),tc_RealDef_Oreal) ). % 0.56/1.13 % 0.56/1.13 cnf(cls_real__sum__squares__cancel__a_1,axiom, % 0.56/1.13 ( c_HOL_Otimes__class_Otimes(V_x,V_x,tc_RealDef_Oreal) != c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(V_y,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal) % 0.56/1.13 | V_y = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ). % 0.56/1.13 % 0.56/1.13 cnf(cls_real__sum__squares__cancel__a_0,axiom, % 0.56/1.13 ( c_HOL_Otimes__class_Otimes(V_x,V_x,tc_RealDef_Oreal) != c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(V_y,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal) % 0.56/1.13 | V_x = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ). % 0.56/1.13 % 0.56/1.13 cnf(cls_norm__mult_0,axiom, % 0.56/1.13 ( ~ class_RealVector_Oreal__normed__div__algebra(T_a) % 0.56/1.13 | c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(V_x,T_a),c_RealVector_Onorm__class_Onorm(V_y,T_a),tc_RealDef_Oreal) ) ). % 0.56/1.13 % 0.56/1.13 cnf(cls_abs__triangle__ineq2_0,axiom, % 0.56/1.13 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 0.56/1.13 | c_lessequals(c_HOL_Ominus__class_Ominus(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),T_a),T_a) ) ). % 0.56/1.13 % 0.56/1.13 cnf(cls_abs__triangle__ineq3_0,axiom, % 0.56/1.13 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 0.56/1.13 | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a),T_a),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),T_a),T_a) ) ). % 0.56/1.13 % 0.56/1.13 cnf(cls_of__nat__fact__not__zero_0,axiom, % 0.56/1.13 ( ~ class_Nat_Osemiring__char__0(T_a) % 0.56/1.13 | c_Nat_Osemiring__1__class_Oof__nat(c_Fact_Ofact__class_Ofact(V_n,tc_nat),T_a) != c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.56/1.13 % 0.56/1.13 cnf(cls_ab__diff__minus_0,axiom, % 0.56/1.13 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.56/1.13 | 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) ) ). % 0.56/1.13 % 0.56/1.13 cnf(cls_diff__minus_0,axiom, % 0.56/1.13 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.56/1.13 | 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) ) ). % 0.56/1.13 % 0.56/1.13 cnf(cls_class__ring_Osub__add_0,axiom, % 0.56/1.13 ( ~ class_Int_Onumber__ring(T_a) % 0.56/1.13 | 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) ) ). % 0.56/1.13 % 0.56/1.13 cnf(cls_diff__def_0,axiom, % 0.56/1.13 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.56/1.13 | 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) ) ). % 0.56/1.13 % 0.56/1.13 cnf(cls_diff__minus__eq__add_0,axiom, % 0.56/1.13 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.56/1.13 | 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) ) ). % 0.56/1.13 % 0.56/1.13 cnf(cls_group__add__class_Odiff__0_0,axiom, % 0.56/1.13 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.56/1.13 | 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) ) ). % 0.56/1.13 % 0.56/1.13 cnf(cls_eq__add__iff2_0,axiom, % 0.56/1.13 ( ~ class_Ring__and__Field_Oring(T_a) % 0.56/1.13 | 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) % 0.56/1.13 | 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) ) ). % 0.56/1.13 % 0.56/1.13 cnf(cls_eq__add__iff1_0,axiom, % 0.56/1.13 ( ~ class_Ring__and__Field_Oring(T_a) % 0.56/1.13 | 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) % 0.56/1.13 | 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 ) ). % 0.56/1.13 % 0.56/1.13 cnf(cls_eq__add__iff1_1,axiom, % 0.56/1.13 ( ~ class_Ring__and__Field_Oring(T_a) % 0.56/1.13 | 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) ) ). % 0.56/1.13 % 0.56/1.13 cnf(cls_eq__add__iff2_1,axiom, % 0.56/1.13 ( ~ class_Ring__and__Field_Oring(T_a) % 0.56/1.13 | 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) ) ). % 0.56/1.13 % 0.56/1.13 cnf(cls_mult_Oprod__diff__prod_0,axiom, % 0.56/1.13 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.56/1.13 | c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_x,V_a,T_a),c_HOL_Ominus__class_Ominus(V_y,V_b,T_a),T_a),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_x,V_a,T_a),V_b,T_a),T_a),c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ominus__class_Ominus(V_y,V_b,T_a),T_a),T_a) ) ). % 0.56/1.13 % 0.56/1.13 cnf(cls_le__iff__diff__le__0_1,axiom, % 0.56/1.13 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.56/1.13 | c_lessequals(V_a,V_b,T_a) % 0.56/1.13 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.56/1.13 % 0.56/1.13 cnf(cls_le__iff__diff__le__0_0,axiom, % 0.56/1.13 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.56/1.13 | c_lessequals(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.56/1.13 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.56/1.13 % 0.56/1.13 cnf(cls_Lim_Ominus__diff__minus_0,axiom, % 0.56/1.13 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.56/1.13 | c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),T_a) ) ). % 0.56/1.13 % 0.56/1.13 cnf(cls_real__mult__right__cancel_0,axiom, % 0.56/1.13 ( c_HOL_Otimes__class_Otimes(V_a,V_c,tc_RealDef_Oreal) != c_HOL_Otimes__class_Otimes(V_b,V_c,tc_RealDef_Oreal) % 0.56/1.13 | V_c = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) % 0.56/1.13 | V_a = V_b ) ). % 0.56/1.13 % 0.56/1.13 cnf(cls_real__mult__left__cancel_0,axiom, % 0.56/1.13 ( c_HOL_Otimes__class_Otimes(V_c,V_a,tc_RealDef_Oreal) != c_HOL_Otimes__class_Otimes(V_c,V_b,tc_RealDef_Oreal) % 0.56/1.13 | V_c = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) % 0.56/1.13 | V_a = V_b ) ). % 0.56/1.13 % 0.56/1.13 cnf(cls_abs__minus__commute_0,axiom, % 0.56/1.13 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 0.56/1.13 | c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),T_a) = c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(V_b,V_a,T_a),T_a) ) ). % 0.56/1.13 % 0.56/1.13 cnf(cls_real__mult__assoc_0,axiom, % 0.56/1.13 c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_z1,V_z2,tc_RealDef_Oreal),V_z3,tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(V_z1,c_HOL_Otimes__class_Otimes(V_z2,V_z3,tc_RealDef_Oreal),tc_RealDef_Oreal) ). % 0.56/1.13 % 0.56/1.13 cnf(cls_diff__divide__distrib_0,axiom, % 0.56/1.13 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.56/1.13 | 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) ) ). % 0.56/1.13 % 0.56/1.13 cnf(cls_divide_Odiff_0,axiom, % 0.56/1.13 ( ~ class_RealVector_Oreal__normed__field(T_a) % 0.56/1.13 | c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(V_x,V_y,T_a),V_ya,T_a) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(V_x,V_ya,T_a),c_HOL_Oinverse__class_Odivide(V_y,V_ya,T_a),T_a) ) ). % 0.56/1.13 % 0.56/1.13 cnf(cls_diff__add__cancel_0,axiom, % 0.56/1.13 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.56/1.13 | c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_b,T_a) = V_a ) ). % 0.56/1.13 % 0.56/1.13 cnf(cls_real__mult__commute_0,axiom, % 0.56/1.13 c_HOL_Otimes__class_Otimes(V_z,V_w,tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(V_w,V_z,tc_RealDef_Oreal) ). % 0.56/1.13 % 0.56/1.13 cnf(cls_eq__eqI_0,axiom, % 0.56/1.13 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.56/1.13 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a) % 0.56/1.13 | V_x_H = V_y_H ) ). % 0.56/1.13 % 0.56/1.13 cnf(cls_eq__eqI_1,axiom, % 0.56/1.13 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.56/1.13 | c_HOL_Ominus__class_Ominus(V_xa,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) % 0.56/1.13 | V_xa = V_y ) ). % 0.56/1.13 % 0.56/1.13 cnf(cls_mult__right_Odiff_0,axiom, % 0.56/1.13 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.56/1.13 | c_HOL_Otimes__class_Otimes(V_xa,c_HOL_Ominus__class_Ominus(V_x,V_y,T_a),T_a) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(V_xa,V_x,T_a),c_HOL_Otimes__class_Otimes(V_xa,V_y,T_a),T_a) ) ). % 0.56/1.13 % 0.56/1.13 cnf(cls_mult_Odiff__right_0,axiom, % 0.56/1.13 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.56/1.13 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ominus__class_Ominus(V_b,V_b_H,T_a),T_a) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Otimes__class_Otimes(V_a,V_b_H,T_a),T_a) ) ). % 0.56/1.13 % 0.56/1.13 cnf(cls_mult_Odiff__left_0,axiom, % 0.56/1.13 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.56/1.13 | c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_a,V_a_H,T_a),V_b,T_a) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Otimes__class_Otimes(V_a_H,V_b,T_a),T_a) ) ). % 0.56/1.13 % 0.56/1.13 cnf(cls_mult__left_Odiff_0,axiom, % 0.56/1.13 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.56/1.13 | c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_x,V_y,T_a),V_ya,T_a) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(V_x,V_ya,T_a),c_HOL_Otimes__class_Otimes(V_y,V_ya,T_a),T_a) ) ). % 0.56/1.13 % 0.56/1.13 cnf(cls_Deriv_Oadd__diff__add_0,axiom, % 0.56/1.13 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.56/1.13 | c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_d,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ominus__class_Ominus(V_c,V_d,T_a),T_a) ) ). % 0.56/1.13 % 0.56/1.13 cnf(cls_add__diff__cancel_0,axiom, % 0.56/1.13 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.56/1.13 | c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_b,T_a) = V_a ) ). % 0.56/1.13 % 0.56/1.13 cnf(cls_minus__diff__eq_0,axiom, % 0.56/1.13 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.56/1.13 | 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) ) ). % 0.56/1.13 % 0.56/1.13 cnf(cls_eq__iff__diff__eq__0_0,axiom, % 0.56/1.13 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.56/1.13 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.56/1.13 % 0.56/1.13 cnf(cls_right__minus__eq_1,axiom, % 0.56/1.13 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.56/1.13 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.56/1.13 % 0.56/1.13 cnf(cls_diff__0__right_0,axiom, % 0.56/1.13 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.56/1.13 | c_HOL_Ominus__class_Ominus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ). % 0.56/1.13 % 0.56/1.13 cnf(cls_diff__self_0,axiom, % 0.56/1.13 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.56/1.13 | c_HOL_Ominus__class_Ominus(V_a,V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.56/1.13 % 0.56/1.13 cnf(cls_class__ringb_Osubr0__iff_1,axiom, % 0.56/1.13 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.56/1.13 | ~ class_Int_Onumber__ring(T_a) % 0.56/1.13 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.56/1.13 % 0.56/1.13 cnf(cls_eq__iff__diff__eq__0_1,axiom, % 0.56/1.13 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.56/1.13 | c_HOL_Ominus__class_Ominus(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.56/1.13 | V_a = V_b ) ). % 0.56/1.13 % 0.56/1.13 cnf(cls_right__minus__eq_0,axiom, % 0.56/1.13 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.56/1.13 | c_HOL_Ominus__class_Ominus(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.56/1.13 | V_a = V_b ) ). % 0.56/1.13 % 0.56/1.13 cnf(cls_class__ringb_Osubr0__iff_0,axiom, % 0.56/1.13 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.56/1.13 | ~ class_Int_Onumber__ring(T_a) % 0.56/1.13 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.56/1.13 | V_x = V_y ) ). % 0.56/1.13 % 0.56/1.13 cnf(cls_le__eqI_0,axiom, % 0.56/1.13 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.56/1.13 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a) % 0.56/1.13 | c_lessequals(V_y_H,V_x_H,T_a) % 0.56/1.13 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 0.56/1.13 % 0.56/1.13 cnf(cls_le__eqI_1,axiom, % 0.56/1.13 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.56/1.13 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a) % 0.56/1.13 | c_lessequals(V_y,V_x,T_a) % 0.56/1.13 | ~ c_lessequals(V_y_H,V_x_H,T_a) ) ). % 0.56/1.13 % 0.56/1.13 cnf(cls_norm__minus__commute_0,axiom, % 0.56/1.13 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.56/1.13 | c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),T_a) = c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(V_b,V_a,T_a),T_a) ) ). % 0.56/1.13 % 0.56/1.13 cnf(cls_le__add__iff2_1,axiom, % 0.56/1.13 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 0.56/1.13 | 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) % 0.56/1.13 | ~ 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) ) ). % 0.56/1.13 % 0.56/1.13 cnf(cls_le__add__iff2_0,axiom, % 0.56/1.13 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 0.56/1.13 | 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) % 0.56/1.13 | ~ 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) ) ). % 0.56/1.13 % 0.56/1.13 cnf(cls_le__add__iff1_1,axiom, % 0.56/1.13 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 0.56/1.13 | 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) % 0.56/1.13 | ~ 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) ) ). % 0.56/1.13 % 0.56/1.13 cnf(cls_le__add__iff1_0,axiom, % 0.56/1.13 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 0.56/1.13 | 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) % 0.56/1.13 | ~ 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) ) ). % 0.56/1.13 % 0.56/1.13 cnf(cls_diff__frac__eq_0,axiom, % 0.56/1.13 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.56/1.13 | 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) % 0.56/1.14 | V_z = c_HOL_Ozero__class_Ozero(T_a) % 0.56/1.14 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.56/1.14 % 0.56/1.14 cnf(cls_DERIV__mult__lemma_0,axiom, % 0.56/1.14 ( ~ class_RealVector_Oreal__field(T_a) % 0.56/1.14 | c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Otimes__class_Otimes(V_c,V_d,T_a),T_a),V_h,T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(V_b,V_d,T_a),V_h,T_a),T_a),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(V_a,V_c,T_a),V_h,T_a),V_d,T_a),T_a) ) ). % 0.56/1.14 % 0.56/1.14 cnf(cls_of__nat__fact__ge__zero_0,axiom, % 0.56/1.14 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.56/1.14 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Nat_Osemiring__1__class_Oof__nat(c_Fact_Ofact__class_Ofact(V_n,tc_nat),T_a),T_a) ) ). % 0.56/1.14 % 0.56/1.14 cnf(cls_abs__triangle__ineq4_0,axiom, % 0.56/1.14 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 0.56/1.14 | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),T_a),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a),T_a) ) ). % 0.56/1.14 % 0.56/1.14 cnf(cls_abs__diff__triangle__ineq_0,axiom, % 0.56/1.14 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 0.56/1.14 | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Oplus__class_Oplus(V_c,V_d,T_a),T_a),T_a),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(V_a,V_c,T_a),T_a),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(V_b,V_d,T_a),T_a),T_a),T_a) ) ). % 0.56/1.14 % 0.56/1.14 cnf(cls_division__ring__inverse__diff_0,axiom, % 0.56/1.14 ( ~ class_Ring__and__Field_Odivision__ring(T_a) % 0.56/1.14 | 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) % 0.56/1.14 | V_b = c_HOL_Ozero__class_Ozero(T_a) % 0.56/1.14 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.56/1.14 % 0.56/1.14 cnf(cls_norm__mult__ineq_0,axiom, % 0.56/1.14 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.56/1.14 | c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),T_a),c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(V_x,T_a),c_RealVector_Onorm__class_Onorm(V_y,T_a),tc_RealDef_Oreal),tc_RealDef_Oreal) ) ). % 0.56/1.14 % 0.56/1.14 cnf(cls_abs__prts_0,axiom, % 0.56/1.14 ( ~ class_OrderedGroup_Olordered__ab__group__add__abs(T_a) % 0.56/1.14 | c_HOL_Oabs__class_Oabs(V_a,T_a) = c_HOL_Ominus__class_Ominus(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(V_a,T_a),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(V_a,T_a),T_a) ) ). % 0.56/1.14 % 0.56/1.14 cnf(cls_mult__eq__0__iff_2,axiom, % 0.56/1.14 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(T_a) % 0.56/1.14 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.56/1.14 % 0.56/1.14 cnf(cls_neg__0__equal__iff__equal_1,axiom, % 0.56/1.14 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.56/1.14 | c_HOL_Ozero__class_Ozero(T_a) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.56/1.14 % 0.56/1.14 cnf(cls_inverse__nonzero__iff__nonzero_0,axiom, % 0.56/1.14 ( ~ class_Ring__and__Field_Odivision__ring(T_a) % 0.56/1.14 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.56/1.14 | c_HOL_Oinverse__class_Oinverse(V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.56/1.14 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.56/1.14 % 0.56/1.14 cnf(cls_inverse__zero__imp__zero_0,axiom, % 0.56/1.14 ( ~ class_Ring__and__Field_Odivision__ring(T_a) % 0.56/1.14 | c_HOL_Oinverse__class_Oinverse(V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.56/1.14 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.56/1.14 % 0.56/1.14 cnf(cls_minus__zero_0,axiom, % 0.56/1.14 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.56/1.14 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.56/1.14 % 0.56/1.14 cnf(cls_neg__equal__zero_1,axiom, % 0.56/1.14 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a) % 0.56/1.14 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.56/1.14 % 0.56/1.14 cnf(cls_abs__eq__0_0,axiom, % 0.56/1.14 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 0.56/1.14 | c_HOL_Oabs__class_Oabs(V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.56/1.14 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.56/1.14 % 0.56/1.14 cnf(cls_eq__divide__eq_2,axiom, % 0.56/1.14 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.56/1.14 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.56/1.14 | c_HOL_Ozero__class_Ozero(T_a) = c_HOL_Oinverse__class_Odivide(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.56/1.14 % 0.56/1.14 cnf(cls_minus__minus_0,axiom, % 0.56/1.14 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.56/1.14 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) = V_a ) ). % 0.56/1.14 % 0.56/1.14 cnf(cls_double__compl_0,axiom, % 0.56/1.14 ( ~ class_Lattices_Oboolean__algebra(T_a) % 0.56/1.14 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_x,T_a),T_a) = V_x ) ). % 0.56/1.14 % 0.56/1.14 cnf(cls_equation__minus__iff_0,axiom, % 0.56/1.14 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.56/1.14 | V_b = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ). % 0.56/1.14 % 0.56/1.14 cnf(cls_equation__minus__iff_1,axiom, % 0.56/1.14 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.56/1.14 | V_a = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ). % 0.56/1.14 % 0.56/1.14 cnf(cls_minus__equation__iff_1,axiom, % 0.56/1.14 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.56/1.14 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) = V_b ) ). % 0.56/1.14 % 0.56/1.14 cnf(cls_divide_Oadd_0,axiom, % 0.56/1.14 ( ~ class_RealVector_Oreal__normed__field(T_a) % 0.56/1.14 | c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(V_x,V_y,T_a),V_ya,T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(V_x,V_ya,T_a),c_HOL_Oinverse__class_Odivide(V_y,V_ya,T_a),T_a) ) ). % 0.56/1.14 % 0.56/1.14 cnf(cls_add__divide__distrib_0,axiom, % 0.56/1.14 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.56/1.14 | 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) ) ). % 0.56/1.14 % 0.56/1.14 cnf(cls_mult__frac__num_0,axiom, % 0.56/1.14 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.56/1.14 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.56/1.14 | 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) ) ). % 0.56/1.14 % 0.56/1.14 cnf(cls_mult__divide__mult__cancel__left_0,axiom, % 0.56/1.14 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.56/1.14 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.56/1.14 | 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) % 0.56/1.14 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.56/1.14 % 0.56/1.14 cnf(cls_mult__divide__mult__cancel__right_0,axiom, % 0.56/1.14 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.56/1.14 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.56/1.14 | 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) % 0.56/1.14 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.56/1.14 % 0.56/1.14 cnf(cls_add__cancel__end_0,axiom, % 0.56/1.14 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.56/1.14 | c_HOL_Oplus__class_Oplus(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a) != V_y % 0.56/1.14 | V_x = c_HOL_Ouminus__class_Ouminus(V_z,T_a) ) ). % 0.56/1.14 % 0.56/1.14 cnf(cls_abs__divide_0,axiom, % 0.56/1.14 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.56/1.14 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.56/1.14 | c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a) ) ). % 0.56/1.14 % 0.56/1.14 cnf(cls_abs__inverse_0,axiom, % 0.56/1.14 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.56/1.14 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.56/1.14 | c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) = c_HOL_Oinverse__class_Oinverse(c_HOL_Oabs__class_Oabs(V_a,T_a),T_a) ) ). % 0.56/1.14 % 0.56/1.14 cnf(cls_power__abs_0,axiom, % 0.56/1.14 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.56/1.14 | c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a) = c_Power_Opower__class_Opower(c_HOL_Oabs__class_Oabs(V_a,T_a),V_n,T_a) ) ). % 0.56/1.14 % 0.56/1.14 cnf(cls_left__minus_0,axiom, % 0.56/1.14 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.56/1.14 | 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) ) ). % 0.56/1.14 % 0.56/1.14 cnf(cls_right__minus_0,axiom, % 0.56/1.14 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.56/1.14 | 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) ) ). % 0.56/1.14 % 0.56/1.14 cnf(cls_ab__left__minus_0,axiom, % 0.56/1.14 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.56/1.14 | 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) ) ). % 0.56/1.14 % 0.56/1.14 cnf(cls_eq__neg__iff__add__eq__0_0,axiom, % 0.56/1.14 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.56/1.14 | 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) ) ). % 0.56/1.14 % 0.56/1.14 cnf(cls_combine__common__factor_0,axiom, % 0.56/1.14 ( ~ class_Ring__and__Field_Osemiring(T_a) % 0.56/1.14 | 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) ) ). % 0.56/1.14 % 0.56/1.14 cnf(cls_divide_Ominus_0,axiom, % 0.56/1.14 ( ~ class_RealVector_Oreal__normed__field(T_a) % 0.56/1.14 | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(V_x,T_a),V_y,T_a) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),T_a) ) ). % 0.56/1.14 % 0.56/1.14 cnf(cls_minus__divide__divide_0,axiom, % 0.56/1.14 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.56/1.14 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.56/1.14 | 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) ) ). % 0.56/1.14 % 0.56/1.14 cnf(cls_abs__triangle__ineq_0,axiom, % 0.56/1.14 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 0.56/1.14 | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a),T_a) ) ). % 0.56/1.14 % 0.56/1.14 cnf(cls_Re_Ozero_0,axiom, % 0.56/1.14 c_Complex_ORe(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ). % 0.56/1.14 % 0.56/1.14 cnf(cls_class__semiring_Osemiring__rules_I21_J_0,axiom, % 0.56/1.14 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.56/1.14 | 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) ) ). % 0.56/1.14 % 0.56/1.14 cnf(cls_class__semiring_Osemiring__rules_I22_J_0,axiom, % 0.56/1.14 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.56/1.14 | 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) ) ). % 0.56/1.14 % 0.56/1.14 cnf(cls_class__semiring_Osemiring__rules_I23_J_0,axiom, % 0.56/1.14 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.56/1.14 | 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) ) ). % 0.56/1.14 % 0.56/1.14 cnf(cls_class__semiring_Osemiring__rules_I25_J_0,axiom, % 0.56/1.14 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.56/1.14 | 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) ) ). % 0.56/1.14 % 0.56/1.14 cnf(cls_ab__semigroup__add__class_Oadd__ac_I1_J_0,axiom, % 0.56/1.14 ( ~ class_OrderedGroup_Oab__semigroup__add(T_a) % 0.56/1.14 | 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) ) ). % 0.56/1.14 % 0.56/1.14 cnf(cls_add__cancel__21_1,axiom, % 0.56/1.14 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.56/1.14 | 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) ) ). % 0.56/1.14 % 0.56/1.14 cnf(cls_class__semiring_Oadd__a_0,axiom, % 0.56/1.14 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.56/1.14 | 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) ) ). % 0.56/1.14 % 0.56/1.14 cnf(cls_comm__monoid__add_Omult__assoc_0,axiom, % 0.56/1.14 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.56/1.14 | 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) ) ). % 0.56/1.14 % 0.56/1.14 cnf(cls_comm__monoid__add_Omult__left__commute_0,axiom, % 0.56/1.14 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.56/1.14 | 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) ) ). % 0.56/1.14 % 0.56/1.14 cnf(cls_class__semiring_Osemiring__rules_I7_J_0,axiom, % 0.56/1.14 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.56/1.14 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) = c_HOL_Otimes__class_Otimes(V_b,V_a,T_a) ) ). % 0.56/1.14 % 0.56/1.14 cnf(cls_class__semiring_Omul__c_0,axiom, % 0.56/1.14 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.56/1.14 | c_HOL_Otimes__class_Otimes(V_x,V_y,T_a) = c_HOL_Otimes__class_Otimes(V_y,V_x,T_a) ) ). % 0.56/1.14 % 0.56/1.14 cnf(cls_inverse__inverse__eq_0,axiom, % 0.56/1.14 ( ~ class_Ring__and__Field_Odivision__ring(T_a) % 0.56/1.14 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.56/1.14 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) = V_a ) ). % 0.56/1.14 % 0.56/1.14 cnf(cls_class__ringb_Onoteq__reduce_1,axiom, % 0.56/1.14 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.56/1.14 | ~ class_Int_Onumber__ring(T_a) % 0.56/1.14 | 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) ) ). % 0.56/1.14 % 0.56/1.14 cnf(cls_class__ringb_Oadd__mul__solve_1,axiom, % 0.56/1.14 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.56/1.14 | ~ class_Int_Onumber__ring(T_a) % 0.56/1.14 | 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) ) ). % 0.56/1.14 % 0.56/1.14 cnf(cls_nonzero__minus__divide__right_0,axiom, % 0.56/1.14 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.56/1.14 | 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) % 0.56/1.14 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.56/1.14 % 0.56/1.14 cnf(cls_abs__le__mult_0,axiom, % 0.56/1.14 ( ~ class_Ring__and__Field_Olordered__ring(T_a) % 0.56/1.14 | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a),c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a),T_a) ) ). % 0.56/1.14 % 0.56/1.14 cnf(cls_of__nat__eq__iff_0,axiom, % 0.56/1.14 ( ~ class_Nat_Osemiring__char__0(T_a) % 0.56/1.14 | c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a) != c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a) % 0.56/1.14 | V_m = V_n ) ). % 0.56/1.14 % 0.56/1.14 cnf(cls_square__eq__iff_0,axiom, % 0.56/1.14 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.56/1.14 | c_HOL_Otimes__class_Otimes(V_a,V_a,T_a) != c_HOL_Otimes__class_Otimes(V_b,V_b,T_a) % 0.56/1.14 | V_a = c_HOL_Ouminus__class_Ouminus(V_b,T_a) % 0.56/1.14 | V_a = V_b ) ). % 0.56/1.14 % 0.56/1.14 cnf(cls_class__semiring_Osemiring__rules_I13_J_0,axiom, % 0.56/1.14 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.56/1.14 | 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) ) ). % 0.56/1.14 % 0.56/1.14 cnf(cls_class__semiring_Osemiring__rules_I14_J_0,axiom, % 0.56/1.14 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.56/1.14 | 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) ) ). % 0.56/1.14 % 0.56/1.14 cnf(cls_class__semiring_Osemiring__rules_I15_J_0,axiom, % 0.56/1.14 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.56/1.14 | 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) ) ). % 0.56/1.14 % 0.56/1.14 cnf(cls_divide__eq__eq_3,axiom, % 0.56/1.14 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.56/1.14 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.56/1.14 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_c,T_a) = V_a % 0.56/1.14 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.56/1.14 % 0.56/1.14 cnf(cls_eq__divide__eq_3,axiom, % 0.56/1.14 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.56/1.14 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.56/1.14 | V_a = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_c,T_a) % 0.56/1.14 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.56/1.14 % 0.56/1.14 cnf(cls_estimate__by__abs_0,axiom, % 0.56/1.14 ( ~ class_OrderedGroup_Olordered__ab__group__add__abs(T_a) % 0.56/1.14 | c_lessequals(V_a,c_HOL_Oplus__class_Oplus(V_c,c_HOL_Oabs__class_Oabs(V_b,T_a),T_a),T_a) % 0.56/1.14 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) ) ). % 0.56/1.14 % 0.56/1.14 cnf(cls_DERIV__inverse__lemma_0,axiom, % 0.56/1.14 ( ~ class_RealVector_Oreal__normed__field(T_a) % 0.56/1.14 | c_HOL_Oinverse__class_Odivide(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),V_h,T_a) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_h,T_a),T_a),c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a),T_a) % 0.56/1.14 | V_b = c_HOL_Ozero__class_Ozero(T_a) % 0.56/1.14 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.56/1.14 % 0.56/1.14 cnf(cls_norm__ratiotest__lemma_0,axiom, % 0.56/1.14 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.56/1.14 | V_x = c_HOL_Ozero__class_Ozero(T_a) % 0.56/1.14 | ~ c_lessequals(c_RealVector_Onorm__class_Onorm(V_x,T_a),c_HOL_Otimes__class_Otimes(V_c,c_RealVector_Onorm__class_Onorm(V_y,T_a),tc_RealDef_Oreal),tc_RealDef_Oreal) % 0.56/1.14 | ~ c_lessequals(V_c,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ). % 0.56/1.14 % 0.56/1.14 cnf(cls_inv__of__nat__fact__ge__zero_0,axiom, % 0.56/1.14 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.56/1.14 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Oinverse(c_Nat_Osemiring__1__class_Oof__nat(c_Fact_Ofact__class_Ofact(V_n,tc_nat),T_a),T_a),T_a) ) ). % 0.56/1.14 % 0.56/1.14 cnf(cls_Deriv_Oinverse__diff__inverse_0,axiom, % 0.56/1.14 ( ~ class_Ring__and__Field_Odivision__ring(T_a) % 0.56/1.14 | 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_Ouminus__class_Ouminus(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_a,V_b,T_a),T_a),c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a),T_a) % 0.56/1.14 | V_b = c_HOL_Ozero__class_Ozero(T_a) % 0.56/1.14 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.56/1.14 % 0.56/1.14 cnf(cls_mult__eq__0__iff_1,axiom, % 0.56/1.14 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(T_a) % 0.56/1.14 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.56/1.14 % 0.56/1.14 cnf(cls_mult__zero__right_0,axiom, % 0.56/1.14 ( ~ class_Ring__and__Field_Omult__zero(T_a) % 0.56/1.14 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.56/1.14 % 0.56/1.14 cnf(cls_mult__zero__left_0,axiom, % 0.56/1.14 ( ~ class_Ring__and__Field_Omult__zero(T_a) % 0.56/1.14 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.56/1.14 % 0.56/1.14 cnf(cls_class__semiring_Omul__0_0,axiom, % 0.56/1.14 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.56/1.14 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.56/1.14 % 0.56/1.14 cnf(cls_mult__right_Ozero_0,axiom, % 0.56/1.14 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.56/1.14 | c_HOL_Otimes__class_Otimes(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.56/1.14 % 0.56/1.14 cnf(cls_mult_Ozero__right_0,axiom, % 0.56/1.14 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.56/1.14 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.56/1.14 % 0.56/1.14 cnf(cls_mult_Ozero__left_0,axiom, % 0.56/1.14 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.56/1.14 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.56/1.14 % 0.56/1.14 cnf(cls_mult__left_Ozero_0,axiom, % 0.56/1.14 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.56/1.14 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.56/1.14 % 0.56/1.14 cnf(cls_class__semiring_Osemiring__rules_I10_J_0,axiom, % 0.56/1.14 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.56/1.14 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.56/1.14 % 0.56/1.14 cnf(cls_class__semiring_Osemiring__rules_I9_J_0,axiom, % 0.56/1.14 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.56/1.14 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.56/1.14 % 0.56/1.14 cnf(cls_nonzero__inverse__inverse__eq_0,axiom, % 0.56/1.14 ( ~ class_Ring__and__Field_Odivision__ring(T_a) % 0.56/1.14 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) = V_a % 0.56/1.14 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.56/1.14 % 0.56/1.14 cnf(cls_divide__self__if_0,axiom, % 0.56/1.14 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.56/1.14 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.56/1.14 | 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) ) ). % 0.56/1.14 % 0.56/1.14 cnf(cls_neg__equal__zero_0,axiom, % 0.56/1.14 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a) % 0.56/1.14 | c_HOL_Ouminus__class_Ouminus(V_a,T_a) != V_a % 0.56/1.14 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.56/1.14 % 0.56/1.14 cnf(cls_inverse__zero_0,axiom, % 0.56/1.14 ( ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.56/1.14 | c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.56/1.14 % 0.56/1.14 cnf(cls_inverse__nonzero__iff__nonzero_1,axiom, % 0.56/1.14 ( ~ class_Ring__and__Field_Odivision__ring(T_a) % 0.56/1.14 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.56/1.14 | c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.56/1.14 % 0.56/1.14 cnf(cls_nonzero__inverse__eq__imp__eq_0,axiom, % 0.56/1.14 ( ~ class_Ring__and__Field_Odivision__ring(T_a) % 0.56/1.14 | c_HOL_Oinverse__class_Oinverse(V_a,T_a) != c_HOL_Oinverse__class_Oinverse(V_b,T_a) % 0.56/1.14 | V_a = V_b % 0.56/1.14 | V_b = c_HOL_Ozero__class_Ozero(T_a) % 0.56/1.14 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.56/1.14 % 0.56/1.14 cnf(cls_nprt__0_0,axiom, % 0.56/1.14 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.56/1.14 | c_OrderedGroup_Olordered__ab__group__add__class_Onprt(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.56/1.14 % 0.56/1.14 cnf(cls_field__power__not__zero_0,axiom, % 0.56/1.14 ( ~ class_Ring__and__Field_Oring__1__no__zero__divisors(T_a) % 0.56/1.14 | c_Power_Opower__class_Opower(V_a,V_n,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.56/1.14 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.56/1.14 % 0.56/1.14 cnf(cls_power__eq__0__iff_0,axiom, % 0.56/1.14 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a) % 0.56/1.14 | ~ class_Ring__and__Field_Ono__zero__divisors(T_a) % 0.56/1.14 | ~ class_Ring__and__Field_Omult__zero(T_a) % 0.56/1.14 | ~ class_Power_Opower(T_a) % 0.56/1.14 | c_Power_Opower__class_Opower(V_a,V_n,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.56/1.14 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.56/1.14 % 0.56/1.14 cnf(cls_neg__equal__0__iff__equal_0,axiom, % 0.56/1.14 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.56/1.14 | c_HOL_Ouminus__class_Ouminus(V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.56/1.14 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.56/1.14 % 0.56/1.14 cnf(cls_mult__eq__0__iff_0,axiom, % 0.56/1.14 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(T_a) % 0.56/1.14 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.56/1.14 | V_b = c_HOL_Ozero__class_Ozero(T_a) % 0.56/1.14 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.56/1.14 % 0.56/1.14 cnf(cls_no__zero__divisors_0,axiom, % 0.56/1.14 ( ~ class_Ring__and__Field_Ono__zero__divisors(T_a) % 0.56/1.14 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.56/1.14 | V_b = c_HOL_Ozero__class_Ozero(T_a) % 0.56/1.14 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.56/1.14 % 0.56/1.14 cnf(cls_no__zero__divirors__neq0_0,axiom, % 0.56/1.14 ( ~ class_Ring__and__Field_Ono__zero__divisors(T_a) % 0.56/1.14 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.56/1.14 | V_a = c_HOL_Ozero__class_Ozero(T_a) % 0.56/1.14 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.56/1.14 % 0.56/1.14 cnf(cls_double__eq__0__iff_0,axiom, % 0.56/1.14 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.56/1.14 | c_HOL_Oplus__class_Oplus(V_a,V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.56/1.14 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.56/1.14 % 0.56/1.14 cnf(cls_class__ringb_Oadd__r0__iff_0,axiom, % 0.56/1.14 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.56/1.14 | ~ class_Int_Onumber__ring(T_a) % 0.56/1.14 | V_x != c_HOL_Oplus__class_Oplus(V_x,V_a,T_a) % 0.56/1.14 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.56/1.14 % 0.56/1.14 cnf(cls_pprt__0_0,axiom, % 0.56/1.14 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.56/1.14 | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.56/1.14 % 0.56/1.14 cnf(cls_double__eq__0__iff_1,axiom, % 0.56/1.14 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.56/1.14 | 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) ) ). % 0.56/1.14 % 0.56/1.14 cnf(cls_abs__eq__0_1,axiom, % 0.56/1.14 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 0.56/1.14 | c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.56/1.14 % 0.56/1.14 cnf(cls_neg__0__equal__iff__equal_0,axiom, % 0.56/1.14 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.56/1.14 | c_HOL_Ozero__class_Ozero(T_a) != c_HOL_Ouminus__class_Ouminus(V_a,T_a) % 0.56/1.14 | c_HOL_Ozero__class_Ozero(T_a) = V_a ) ). % 0.56/1.14 % 0.56/1.14 cnf(cls_divide__zero__left_0,axiom, % 0.56/1.14 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.56/1.14 | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.56/1.14 % 0.56/1.14 cnf(cls_divide__eq__eq_1,axiom, % 0.56/1.14 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.56/1.14 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.56/1.14 | c_HOL_Oinverse__class_Odivide(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.56/1.14 % 0.56/1.14 cnf(cls_divide__zero_0,axiom, % 0.56/1.14 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.56/1.14 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.56/1.14 | c_HOL_Oinverse__class_Odivide(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.56/1.14 % 0.56/1.14 cnf(cls_divide_Ozero_0,axiom, % 0.56/1.14 ( ~ class_RealVector_Oreal__normed__field(T_a) % 0.56/1.14 | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.56/1.14 % 0.56/1.14 cnf(cls_monoid__add__class_Oadd__0__right_0,axiom, % 0.56/1.14 ( ~ class_OrderedGroup_Omonoid__add(T_a) % 0.56/1.14 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ). % 0.56/1.14 % 0.56/1.14 cnf(cls_add__0__left_0,axiom, % 0.56/1.14 ( ~ class_OrderedGroup_Omonoid__add(T_a) % 0.56/1.14 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = V_a ) ). % 0.56/1.14 % 0.56/1.14 cnf(cls_comm__monoid__add_Omult__1__right_0,axiom, % 0.56/1.14 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.56/1.14 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ). % 0.56/1.14 % 0.56/1.14 cnf(cls_class__ringb_Oadd__r0__iff_1,axiom, % 0.56/1.14 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.56/1.14 | ~ class_Int_Onumber__ring(T_a) % 0.56/1.14 | V_x = c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.56/1.14 % 0.56/1.14 cnf(cls_class__semiring_Oadd__0_0,axiom, % 0.56/1.14 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.56/1.14 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) = V_x ) ). % 0.56/1.14 % 0.56/1.14 cnf(cls_comm__monoid__add_Omult__1_0,axiom, % 0.56/1.14 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.56/1.14 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = V_a ) ). % 0.56/1.14 % 0.56/1.14 cnf(cls_class__semiring_Osemiring__rules_I6_J_0,axiom, % 0.56/1.14 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.56/1.14 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ). % 0.56/1.14 % 0.56/1.14 cnf(cls_class__semiring_Osemiring__rules_I5_J_0,axiom, % 0.56/1.14 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.56/1.14 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = V_a ) ). % 0.56/1.14 % 0.56/1.14 cnf(cls_abs__mult__pos_0,axiom, % 0.56/1.14 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.56/1.14 | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(V_y,T_a),V_x,T_a) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(V_y,V_x,T_a),T_a) % 0.56/1.14 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ). % 0.56/1.14 % 0.56/1.14 cnf(cls_zero__le__power__abs_0,axiom, % 0.56/1.14 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.56/1.14 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(c_HOL_Oabs__class_Oabs(V_a,T_a),V_n,T_a),T_a) ) ). % 0.56/1.14 % 0.56/1.14 cnf(cls_le__eq__neg_1,axiom, % 0.56/1.14 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.56/1.14 | c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) % 0.56/1.14 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.56/1.14 % 0.56/1.14 cnf(cls_le__eq__neg_0,axiom, % 0.56/1.14 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.56/1.14 | c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.56/1.14 | ~ c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ). % 0.56/1.14 % 0.56/1.14 cnf(cls_abs__eq__mult_3,axiom, % 0.56/1.14 ( ~ class_Ring__and__Field_Opordered__ring__abs(T_a) % 0.56/1.14 | c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a) % 0.56/1.14 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.56/1.14 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.56/1.14 % 0.56/1.14 cnf(cls_abs__eq__mult_2,axiom, % 0.56/1.14 ( ~ class_Ring__and__Field_Opordered__ring__abs(T_a) % 0.56/1.14 | c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a) % 0.56/1.14 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.56/1.14 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.56/1.14 % 0.56/1.14 cnf(cls_abs__eq__mult_1,axiom, % 0.56/1.14 ( ~ class_Ring__and__Field_Opordered__ring__abs(T_a) % 0.56/1.14 | c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a) % 0.56/1.14 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.56/1.14 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.56/1.14 % 0.56/1.14 cnf(cls_abs__eq__mult_0,axiom, % 0.56/1.14 ( ~ class_Ring__and__Field_Opordered__ring__abs(T_a) % 0.56/1.14 | c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a) % 0.56/1.14 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.56/1.14 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.56/1.14 % 0.56/1.14 cnf(cls_sum__squares__le__zero__iff_2,axiom, % 0.56/1.14 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.56/1.14 | 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) ) ). % 0.56/1.14 % 0.56/1.14 cnf(cls_sum__squares__ge__zero_0,axiom, % 0.56/1.14 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.56/1.14 | 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) ) ). % 0.56/1.14 % 0.56/1.14 cnf(cls_abs__minus__le__zero_0,axiom, % 0.56/1.14 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 0.56/1.14 | c_lessequals(c_HOL_Ouminus__class_Ouminus(c_HOL_Oabs__class_Oabs(V_a,T_a),T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.56/1.14 % 0.56/1.14 cnf(cls_sum__squares__le__zero__iff_1,axiom, % 0.56/1.14 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.56/1.14 | V_y = c_HOL_Ozero__class_Ozero(T_a) % 0.56/1.14 | ~ 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) ) ). % 0.56/1.14 % 0.56/1.14 cnf(cls_sum__squares__le__zero__iff_0,axiom, % 0.56/1.14 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.56/1.14 | V_x = c_HOL_Ozero__class_Ozero(T_a) % 0.56/1.14 | ~ 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) ) ). % 0.56/1.14 % 0.56/1.14 cnf(cls_abs__of__nonpos_0,axiom, % 0.56/1.14 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 0.56/1.14 | c_HOL_Oabs__class_Oabs(V_a,T_a) = c_HOL_Ouminus__class_Ouminus(V_a,T_a) % 0.56/1.14 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.56/1.14 % 0.56/1.14 cnf(cls_le__divide__eq_9,axiom, % 0.56/1.14 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.56/1.14 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.56/1.14 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 0.56/1.14 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.56/1.14 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) % 0.56/1.14 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) ) ). % 0.56/1.14 % 0.56/1.14 cnf(cls_divide__le__eq_9,axiom, % 0.56/1.14 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.56/1.14 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.56/1.14 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) % 0.56/1.14 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.56/1.14 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) % 0.56/1.14 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) ) ). % 0.56/1.14 % 0.56/1.14 cnf(cls_le__add__right__mono_0,axiom, % 0.56/1.14 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.56/1.14 | c_lessequals(V_a,c_HOL_Oplus__class_Oplus(V_b,V_d,T_a),T_a) % 0.56/1.14 | ~ c_lessequals(V_c,V_d,T_a) % 0.56/1.14 | ~ c_lessequals(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) ) ). % 0.56/1.14 % 0.56/1.14 cnf(cls_abs__ge__self_0,axiom, % 0.56/1.14 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 0.56/1.14 | c_lessequals(V_a,c_HOL_Oabs__class_Oabs(V_a,T_a),T_a) ) ). % 0.56/1.14 % 0.56/1.14 cnf(cls_add__mono_0,axiom, % 0.56/1.14 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a) % 0.56/1.14 | 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) % 0.56/1.14 | ~ c_lessequals(V_c,V_d,T_a) % 0.56/1.14 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.56/1.14 % 0.56/1.14 cnf(cls_add__le__cancel__right_1,axiom, % 0.56/1.14 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.56/1.14 | 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) % 0.56/1.14 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.56/1.14 % 0.56/1.14 cnf(cls_add__le__cancel__right_0,axiom, % 0.56/1.14 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.56/1.15 | c_lessequals(V_a,V_b,T_a) % 0.56/1.15 | ~ 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) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_add__le__cancel__left_1,axiom, % 0.56/1.15 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.56/1.15 | 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) % 0.56/1.15 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_add__le__cancel__left_0,axiom, % 0.56/1.15 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.56/1.15 | c_lessequals(V_a,V_b,T_a) % 0.56/1.15 | ~ 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) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_add__right__mono_0,axiom, % 0.56/1.15 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a) % 0.56/1.15 | 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) % 0.56/1.15 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_add__left__mono_0,axiom, % 0.56/1.15 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a) % 0.56/1.15 | 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) % 0.56/1.15 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_neg__le__iff__le_0,axiom, % 0.56/1.15 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.56/1.15 | c_lessequals(V_a,V_b,T_a) % 0.56/1.15 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_le__imp__neg__le_0,axiom, % 0.56/1.15 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.56/1.15 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) % 0.56/1.15 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_abs__le__D1_0,axiom, % 0.56/1.15 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 0.56/1.15 | c_lessequals(V_a,V_b,T_a) % 0.56/1.15 | ~ c_lessequals(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_minus__le__iff_1,axiom, % 0.56/1.15 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.56/1.15 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) % 0.56/1.15 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_minus__le__iff_0,axiom, % 0.56/1.15 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.56/1.15 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a) % 0.56/1.15 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_le__minus__iff_1,axiom, % 0.56/1.15 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.56/1.15 | c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) % 0.56/1.15 | ~ c_lessequals(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_le__minus__iff_0,axiom, % 0.56/1.15 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.56/1.15 | c_lessequals(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) % 0.56/1.15 | ~ c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_norm__minus__cancel_0,axiom, % 0.56/1.15 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.56/1.15 | c_RealVector_Onorm__class_Onorm(c_HOL_Ouminus__class_Ouminus(V_x,T_a),T_a) = c_RealVector_Onorm__class_Onorm(V_x,T_a) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_pCons__eq__0__iff_1,axiom, % 0.56/1.15 ( ~ class_HOL_Ozero(T_a) % 0.56/1.15 | c_Polynomial_OpCons(V_a,V_p,T_a) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) % 0.56/1.15 | V_p = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_poly__pCons_0,axiom, % 0.56/1.15 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a) % 0.56/1.15 | c_Polynomial_Opoly(c_Polynomial_OpCons(V_a,V_p,T_a),V_x,T_a) = c_HOL_Oplus__class_Oplus(V_a,c_HOL_Otimes__class_Otimes(V_x,c_Polynomial_Opoly(V_p,V_x,T_a),T_a),T_a) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_cs0_0,axiom, % 0.56/1.15 v_cs____ != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_abs__ge__zero_0,axiom, % 0.56/1.15 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 0.56/1.15 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oabs__class_Oabs(V_a,T_a),T_a) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_add__nonpos__nonpos_0,axiom, % 0.56/1.15 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 0.56/1.15 | c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.56/1.15 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.56/1.15 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_double__add__le__zero__iff__single__add__le__zero_1,axiom, % 0.56/1.15 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.56/1.15 | c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.56/1.15 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_double__add__le__zero__iff__single__add__le__zero_0,axiom, % 0.56/1.15 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.56/1.15 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.56/1.15 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_zero__le__iff__nprt__id_1,axiom, % 0.56/1.15 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.56/1.15 | c_OrderedGroup_Olordered__ab__group__add__class_Onprt(V_a,T_a) != V_a % 0.56/1.15 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_zero__le__iff__nprt__id_0,axiom, % 0.56/1.15 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.56/1.15 | c_OrderedGroup_Olordered__ab__group__add__class_Onprt(V_a,T_a) = V_a % 0.56/1.15 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_zero__le__divide__iff_5,axiom, % 0.56/1.15 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.56/1.15 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.56/1.15 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) % 0.56/1.15 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.56/1.15 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_zero__le__divide__iff_4,axiom, % 0.56/1.15 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.56/1.15 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.56/1.15 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) % 0.56/1.15 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.56/1.15 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_nprt__le__zero_0,axiom, % 0.56/1.15 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.56/1.15 | c_lessequals(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_divide__le__0__iff_3,axiom, % 0.56/1.15 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.56/1.15 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.56/1.15 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.56/1.15 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.56/1.15 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_divide__le__0__iff_2,axiom, % 0.56/1.15 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.56/1.15 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.56/1.15 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.56/1.15 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.56/1.15 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_divide__le__0__iff_1,axiom, % 0.56/1.15 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.56/1.15 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.56/1.15 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.56/1.15 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.56/1.15 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_divide__le__0__iff_0,axiom, % 0.56/1.15 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.56/1.15 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.56/1.15 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.56/1.15 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.56/1.15 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_le__zero__iff__zero__pprt_1,axiom, % 0.56/1.15 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.56/1.15 | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.56/1.15 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_le__zero__iff__zero__pprt_0,axiom, % 0.56/1.15 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.56/1.15 | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) % 0.56/1.15 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_neg__less__eq__nonneg_1,axiom, % 0.56/1.15 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a) % 0.56/1.15 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_a,T_a) % 0.56/1.15 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_neg__less__eq__nonneg_0,axiom, % 0.56/1.15 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a) % 0.56/1.15 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.56/1.15 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_a,T_a) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_less__eq__neg__nonpos_1,axiom, % 0.56/1.15 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a) % 0.56/1.15 | c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) % 0.56/1.15 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_less__eq__neg__nonpos_0,axiom, % 0.56/1.15 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a) % 0.56/1.15 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.56/1.15 | ~ c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_minus__le__self__iff_1,axiom, % 0.56/1.15 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.56/1.15 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_a,T_a) % 0.56/1.15 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_minus__le__self__iff_0,axiom, % 0.56/1.15 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.56/1.15 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.56/1.15 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_a,T_a) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_le__minus__self__iff_1,axiom, % 0.56/1.15 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.56/1.15 | c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) % 0.56/1.15 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_le__minus__self__iff_0,axiom, % 0.56/1.15 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.56/1.15 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.56/1.15 | ~ c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_divide__eq__imp_0,axiom, % 0.56/1.15 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.56/1.15 | V_c = c_HOL_Ozero__class_Ozero(T_a) % 0.56/1.15 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_c,T_a) = V_a ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_eq__divide__imp_0,axiom, % 0.56/1.15 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.56/1.15 | V_c = c_HOL_Ozero__class_Ozero(T_a) % 0.56/1.15 | V_a = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_c,T_a) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_neg__equal__iff__equal_0,axiom, % 0.56/1.15 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.56/1.15 | c_HOL_Ouminus__class_Ouminus(V_a,T_a) != c_HOL_Ouminus__class_Ouminus(V_b,T_a) % 0.56/1.15 | V_a = V_b ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_compl__eq__compl__iff_0,axiom, % 0.56/1.15 ( ~ class_Lattices_Oboolean__algebra(T_a) % 0.56/1.15 | c_HOL_Ouminus__class_Ouminus(V_x,T_a) != c_HOL_Ouminus__class_Ouminus(V_y,T_a) % 0.56/1.15 | V_x = V_y ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_power__divide_0,axiom, % 0.56/1.15 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.56/1.15 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.56/1.15 | 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) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_abs__mult_0,axiom, % 0.56/1.15 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.56/1.15 | c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_mult__frac__frac_0,axiom, % 0.56/1.15 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.56/1.15 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.56/1.15 | 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) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_minus__mult__left_0,axiom, % 0.56/1.15 ( ~ class_Ring__and__Field_Oring(T_a) % 0.56/1.15 | 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) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_minus__mult__right_0,axiom, % 0.56/1.15 ( ~ class_Ring__and__Field_Oring(T_a) % 0.56/1.15 | 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) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_mult__left__idem_0,axiom, % 0.56/1.15 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(T_a) % 0.56/1.15 | 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) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_abs__le__D2_0,axiom, % 0.56/1.15 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 0.56/1.15 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) % 0.56/1.15 | ~ c_lessequals(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_add__minus__cancel_0,axiom, % 0.56/1.15 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.56/1.15 | 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 ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_inverse__divide_0,axiom, % 0.56/1.15 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.56/1.15 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.56/1.15 | 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) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_prts_0,axiom, % 0.56/1.15 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.56/1.15 | V_a = c_HOL_Oplus__class_Oplus(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(V_a,T_a),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(V_a,T_a),T_a) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_class__ringb_Oadd__scale__eq__noteq_0,axiom, % 0.56/1.15 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.56/1.15 | ~ class_Int_Onumber__ring(T_a) % 0.56/1.15 | 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) % 0.56/1.15 | V_c = V_d % 0.56/1.15 | V_r = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_sum__squares__eq__zero__iff_0,axiom, % 0.56/1.15 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.56/1.15 | 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) % 0.56/1.15 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_sum__squares__eq__zero__iff_1,axiom, % 0.56/1.15 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.56/1.15 | 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) % 0.56/1.15 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_mult__idem_0,axiom, % 0.56/1.15 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(T_a) % 0.56/1.15 | c_HOL_Otimes__class_Otimes(V_x,V_x,T_a) = V_x ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_inverse__eq__iff__eq_0,axiom, % 0.56/1.15 ( ~ class_Ring__and__Field_Odivision__ring(T_a) % 0.56/1.15 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.56/1.15 | c_HOL_Oinverse__class_Oinverse(V_a,T_a) != c_HOL_Oinverse__class_Oinverse(V_b,T_a) % 0.56/1.15 | V_a = V_b ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_class__semiring_Opwr__mul_0,axiom, % 0.56/1.15 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.56/1.15 | 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) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_power__mult__distrib_0,axiom, % 0.56/1.15 ( ~ class_OrderedGroup_Ocomm__monoid__mult(T_a) % 0.56/1.15 | 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) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_power__inverse_0,axiom, % 0.56/1.15 ( ~ class_Ring__and__Field_Odivision__ring(T_a) % 0.56/1.15 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.56/1.15 | 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) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_inverse__minus__eq_0,axiom, % 0.56/1.15 ( ~ class_Ring__and__Field_Odivision__ring(T_a) % 0.56/1.15 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.56/1.15 | 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) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_ab__semigroup__mult__class_Omult__ac_I1_J_0,axiom, % 0.56/1.15 ( ~ class_OrderedGroup_Oab__semigroup__mult(T_a) % 0.56/1.15 | 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) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_class__semiring_Osemiring__rules_I16_J_0,axiom, % 0.56/1.15 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.56/1.15 | 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) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_class__semiring_Osemiring__rules_I17_J_0,axiom, % 0.56/1.15 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.56/1.15 | 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) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_class__semiring_Osemiring__rules_I18_J_0,axiom, % 0.56/1.15 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.56/1.15 | 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) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_class__semiring_Osemiring__rules_I19_J_0,axiom, % 0.56/1.15 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.56/1.15 | 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) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_class__semiring_Omul__a_0,axiom, % 0.56/1.15 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.56/1.15 | 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) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_class__semiring_Osemiring__rules_I8_J_0,axiom, % 0.56/1.15 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.56/1.15 | 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) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_mult__right_Oadd_0,axiom, % 0.56/1.15 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.56/1.15 | c_HOL_Otimes__class_Otimes(V_xa,c_HOL_Oplus__class_Oplus(V_x,V_y,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_xa,V_x,T_a),c_HOL_Otimes__class_Otimes(V_xa,V_y,T_a),T_a) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_mult_Oadd__right_0,axiom, % 0.56/1.15 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.56/1.15 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Oplus__class_Oplus(V_b,V_b_H,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Otimes__class_Otimes(V_a,V_b_H,T_a),T_a) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_mult__left_Oadd_0,axiom, % 0.56/1.15 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.56/1.15 | c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_x,V_y,T_a),V_ya,T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_ya,T_a),c_HOL_Otimes__class_Otimes(V_y,V_ya,T_a),T_a) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_mult_Oadd__left_0,axiom, % 0.56/1.15 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.56/1.15 | c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_a,V_a_H,T_a),V_b,T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Otimes__class_Otimes(V_a_H,V_b,T_a),T_a) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_class__semiring_Omul__d_0,axiom, % 0.56/1.15 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.56/1.15 | 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) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_comm__semiring__class_Odistrib_0,axiom, % 0.56/1.15 ( ~ class_Ring__and__Field_Ocomm__semiring(T_a) % 0.56/1.15 | 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) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_minus__divide__right_0,axiom, % 0.56/1.15 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.56/1.15 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.56/1.15 | 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) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_minus__divide__left_0,axiom, % 0.56/1.15 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.56/1.15 | 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) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_class__semiring_Osemiring__rules_I1_J_0,axiom, % 0.56/1.15 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.56/1.15 | 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) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_mult_Ominus__left_0,axiom, % 0.56/1.15 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.56/1.15 | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_mult__left_Ominus_0,axiom, % 0.56/1.15 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.56/1.15 | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(V_x,T_a),V_y,T_a) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),T_a) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_mult_Ominus__right_0,axiom, % 0.56/1.15 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.56/1.15 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_mult__right_Ominus_0,axiom, % 0.56/1.15 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.56/1.15 | c_HOL_Otimes__class_Otimes(V_xa,c_HOL_Ouminus__class_Ouminus(V_x,T_a),T_a) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(V_xa,V_x,T_a),T_a) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_square__eq__iff_1,axiom, % 0.56/1.15 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.56/1.15 | 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) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_minus__mult__minus_0,axiom, % 0.56/1.15 ( ~ class_Ring__and__Field_Oring(T_a) % 0.56/1.15 | 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) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_pprt__neg_0,axiom, % 0.56/1.15 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.56/1.15 | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(c_HOL_Ouminus__class_Ouminus(V_x,T_a),T_a) = c_HOL_Ouminus__class_Ouminus(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(V_x,T_a),T_a) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_inverse__add_0,axiom, % 0.56/1.15 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.56/1.15 | 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) % 0.56/1.15 | V_b = c_HOL_Ozero__class_Ozero(T_a) % 0.56/1.15 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_division__ring__inverse__add_0,axiom, % 0.56/1.15 ( ~ class_Ring__and__Field_Odivision__ring(T_a) % 0.56/1.15 | 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) % 0.56/1.15 | V_b = c_HOL_Ozero__class_Ozero(T_a) % 0.56/1.15 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_add__frac__num_0,axiom, % 0.56/1.15 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.56/1.15 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.56/1.15 | 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) % 0.56/1.15 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_add__num__frac_0,axiom, % 0.56/1.15 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.56/1.15 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.56/1.15 | 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) % 0.56/1.15 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_class__semiring_Osemiring__rules_I20_J_0,axiom, % 0.56/1.15 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.56/1.15 | 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) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_nonzero__minus__divide__divide_0,axiom, % 0.56/1.15 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.56/1.15 | 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) % 0.56/1.15 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_abs__of__nat_0,axiom, % 0.56/1.15 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.56/1.15 | c_HOL_Oabs__class_Oabs(c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a),T_a) = c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_abs__leI_0,axiom, % 0.56/1.15 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 0.56/1.15 | c_lessequals(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a) % 0.56/1.15 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) % 0.56/1.15 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_abs__le__iff_2,axiom, % 0.56/1.15 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 0.56/1.15 | c_lessequals(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a) % 0.56/1.15 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) % 0.56/1.15 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_abs__minus__cancel_0,axiom, % 0.56/1.15 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 0.56/1.15 | c_HOL_Oabs__class_Oabs(c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) = c_HOL_Oabs__class_Oabs(V_a,T_a) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_class__ringb_Oadd__cancel_0,axiom, % 0.56/1.15 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.56/1.15 | ~ class_Int_Onumber__ring(T_a) % 0.56/1.15 | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) != c_HOL_Oplus__class_Oplus(V_x,V_z,T_a) % 0.56/1.15 | V_y = V_z ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_add__imp__eq_0,axiom, % 0.56/1.15 ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(T_a) % 0.56/1.15 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) != c_HOL_Oplus__class_Oplus(V_a,V_c,T_a) % 0.56/1.15 | V_b = V_c ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_add__left__cancel_0,axiom, % 0.56/1.15 ( ~ class_OrderedGroup_Ocancel__semigroup__add(T_a) % 0.56/1.15 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) != c_HOL_Oplus__class_Oplus(V_a,V_c,T_a) % 0.56/1.15 | V_b = V_c ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_add__right__cancel_0,axiom, % 0.56/1.15 ( ~ class_OrderedGroup_Ocancel__semigroup__add(T_a) % 0.56/1.15 | c_HOL_Oplus__class_Oplus(V_b,V_a,T_a) != c_HOL_Oplus__class_Oplus(V_c,V_a,T_a) % 0.56/1.15 | V_b = V_c ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_inverse__mult__distrib_0,axiom, % 0.56/1.15 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.56/1.15 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.56/1.15 | 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) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_nonzero__inverse__mult__distrib_0,axiom, % 0.56/1.15 ( ~ class_Ring__and__Field_Odivision__ring(T_a) % 0.56/1.15 | 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) % 0.56/1.15 | V_b = c_HOL_Ozero__class_Ozero(T_a) % 0.56/1.15 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_nonzero__abs__inverse_0,axiom, % 0.56/1.15 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.56/1.15 | c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) = c_HOL_Oinverse__class_Oinverse(c_HOL_Oabs__class_Oabs(V_a,T_a),T_a) % 0.56/1.15 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_nonzero__abs__divide_0,axiom, % 0.56/1.15 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.56/1.15 | c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a) % 0.56/1.15 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_add__cancel__21_0,axiom, % 0.56/1.15 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.56/1.15 | 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) % 0.56/1.15 | c_HOL_Oplus__class_Oplus(V_x,V_z,T_a) = V_u ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_mult__le__prts_0,axiom, % 0.56/1.15 ( ~ class_Ring__and__Field_Olordered__ring(T_a) % 0.56/1.15 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(V_a2,T_a),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(V_b2,T_a),T_a),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(V_a1,T_a),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(V_b2,T_a),T_a),T_a),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(V_a2,T_a),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(V_b1,T_a),T_a),T_a),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(V_a1,T_a),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(V_b1,T_a),T_a),T_a),T_a) % 0.56/1.15 | ~ c_lessequals(V_b,V_b2,T_a) % 0.56/1.15 | ~ c_lessequals(V_b1,V_b,T_a) % 0.56/1.15 | ~ c_lessequals(V_a,V_a2,T_a) % 0.56/1.15 | ~ c_lessequals(V_a1,V_a,T_a) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_nprt__neg_0,axiom, % 0.56/1.15 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.56/1.15 | c_OrderedGroup_Olordered__ab__group__add__class_Onprt(c_HOL_Ouminus__class_Ouminus(V_x,T_a),T_a) = c_HOL_Ouminus__class_Ouminus(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(V_x,T_a),T_a) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_abs__idempotent_0,axiom, % 0.56/1.15 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 0.56/1.15 | c_HOL_Oabs__class_Oabs(c_HOL_Oabs__class_Oabs(V_a,T_a),T_a) = c_HOL_Oabs__class_Oabs(V_a,T_a) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_mult__ge__prts_0,axiom, % 0.56/1.15 ( ~ class_Ring__and__Field_Olordered__ring(T_a) % 0.56/1.15 | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(V_a1,T_a),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(V_b2,T_a),T_a),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(V_a2,T_a),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(V_b2,T_a),T_a),T_a),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(V_a1,T_a),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(V_b1,T_a),T_a),T_a),c_HOL_Otimes__class_Otimes(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(V_a2,T_a),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(V_b1,T_a),T_a),T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) % 0.56/1.15 | ~ c_lessequals(V_b,V_b2,T_a) % 0.56/1.15 | ~ c_lessequals(V_b1,V_b,T_a) % 0.56/1.15 | ~ c_lessequals(V_a,V_a2,T_a) % 0.56/1.15 | ~ c_lessequals(V_a1,V_a,T_a) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_class__semiring_Osemiring__rules_I24_J_0,axiom, % 0.56/1.15 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.56/1.15 | c_HOL_Oplus__class_Oplus(V_a,V_c,T_a) = c_HOL_Oplus__class_Oplus(V_c,V_a,T_a) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_class__semiring_Oadd__c_0,axiom, % 0.56/1.15 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.56/1.15 | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) = c_HOL_Oplus__class_Oplus(V_y,V_x,T_a) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_comm__monoid__add_Omult__commute_0,axiom, % 0.56/1.15 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.56/1.15 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) = c_HOL_Oplus__class_Oplus(V_b,V_a,T_a) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_power__commutes_0,axiom, % 0.56/1.15 ( ~ class_OrderedGroup_Omonoid__mult(T_a) % 0.56/1.15 | 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) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_abs__ge__minus__self_0,axiom, % 0.56/1.15 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 0.56/1.15 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Oabs__class_Oabs(V_a,T_a),T_a) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_eq__divide__eq_4,axiom, % 0.56/1.15 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.56/1.15 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.56/1.15 | 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) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_minus__unique_0,axiom, % 0.56/1.15 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.56/1.15 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.56/1.15 | c_HOL_Ouminus__class_Ouminus(V_a,T_a) = V_b ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_eq__neg__iff__add__eq__0_1,axiom, % 0.56/1.15 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.56/1.15 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.56/1.15 | V_a = c_HOL_Ouminus__class_Ouminus(V_b,T_a) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_class__ringb_Onoteq__reduce_0,axiom, % 0.56/1.15 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.56/1.15 | ~ class_Int_Onumber__ring(T_a) % 0.56/1.15 | 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) % 0.56/1.15 | V_c = V_d % 0.56/1.15 | V_a = V_b ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_class__ringb_Oadd__mul__solve_0,axiom, % 0.56/1.15 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.56/1.15 | ~ class_Int_Onumber__ring(T_a) % 0.56/1.15 | 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) % 0.56/1.15 | V_y = V_z % 0.56/1.15 | V_w = V_x ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_abs__mult__self_0,axiom, % 0.56/1.15 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.56/1.15 | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_a,T_a),T_a) = c_HOL_Otimes__class_Otimes(V_a,V_a,T_a) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_nonzero__power__inverse_0,axiom, % 0.56/1.15 ( ~ class_Ring__and__Field_Odivision__ring(T_a) % 0.56/1.15 | 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) % 0.56/1.15 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_nonzero__inverse__minus__eq_0,axiom, % 0.56/1.15 ( ~ class_Ring__and__Field_Odivision__ring(T_a) % 0.56/1.15 | 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) % 0.56/1.15 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_add__frac__eq_0,axiom, % 0.56/1.15 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.56/1.15 | 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) % 0.56/1.15 | V_z = c_HOL_Ozero__class_Ozero(T_a) % 0.56/1.15 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_divide__eq__eq_0,axiom, % 0.56/1.15 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.56/1.15 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.56/1.15 | V_b = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_c,T_a) % 0.56/1.15 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_eq__divide__eq_0,axiom, % 0.56/1.15 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.56/1.15 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.56/1.15 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_c,T_a) = V_b % 0.56/1.15 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_abs__power__minus_0,axiom, % 0.56/1.15 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.56/1.15 | c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_n,T_a),T_a) = c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_add__cancel__end_1,axiom, % 0.56/1.15 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.56/1.15 | 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 ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_minus__add__cancel_0,axiom, % 0.56/1.15 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.56/1.15 | 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 ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_synthetic__div__0_0,axiom, % 0.56/1.15 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a) % 0.56/1.15 | c_Polynomial_Osynthetic__div(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_c,T_a) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_minus__mult__commute_0,axiom, % 0.56/1.15 ( ~ class_Ring__and__Field_Oring(T_a) % 0.56/1.15 | 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) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_divide__inverse_0,axiom, % 0.56/1.15 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.56/1.15 | 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) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_class__fieldgb_Odivide__inverse_0,axiom, % 0.56/1.15 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.56/1.15 | ~ class_Int_Onumber__ring(T_a) % 0.56/1.15 | 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) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_nonzero__power__divide_0,axiom, % 0.56/1.15 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.56/1.15 | 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) % 0.56/1.15 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_abs__add__abs_0,axiom, % 0.56/1.15 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 0.56/1.15 | c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_sum__squares__eq__zero__iff_2,axiom, % 0.56/1.15 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.56/1.15 | 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) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_frac__eq__eq_0,axiom, % 0.56/1.15 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.56/1.15 | c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a) != c_HOL_Oinverse__class_Odivide(V_w,V_z,T_a) % 0.56/1.15 | V_z = c_HOL_Ozero__class_Ozero(T_a) % 0.56/1.15 | V_y = c_HOL_Ozero__class_Ozero(T_a) % 0.56/1.15 | c_HOL_Otimes__class_Otimes(V_x,V_z,T_a) = c_HOL_Otimes__class_Otimes(V_w,V_y,T_a) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_frac__eq__eq_1,axiom, % 0.56/1.15 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.56/1.15 | c_HOL_Otimes__class_Otimes(V_x,V_z,T_a) != c_HOL_Otimes__class_Otimes(V_w,V_y,T_a) % 0.56/1.15 | V_z = c_HOL_Ozero__class_Ozero(T_a) % 0.56/1.15 | V_y = c_HOL_Ozero__class_Ozero(T_a) % 0.56/1.15 | c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a) = c_HOL_Oinverse__class_Odivide(V_w,V_z,T_a) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_divide__eq__eq_4,axiom, % 0.56/1.15 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.56/1.15 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.56/1.15 | 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) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_minus__add_0,axiom, % 0.56/1.15 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.56/1.15 | 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) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_minus__add__distrib_0,axiom, % 0.56/1.15 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.56/1.15 | 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) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_zero__le__power_0,axiom, % 0.56/1.15 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.56/1.15 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a) % 0.56/1.15 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_zero__le__power__iff_1,axiom, % 0.56/1.15 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.56/1.15 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a) % 0.56/1.15 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_zero__le__double__add__iff__zero__le__single__add_1,axiom, % 0.56/1.15 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.56/1.15 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),T_a) % 0.56/1.15 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_zero__le__double__add__iff__zero__le__single__add_0,axiom, % 0.56/1.15 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.56/1.15 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.56/1.15 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),T_a) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_inverse__nonnegative__iff__nonnegative_1,axiom, % 0.56/1.15 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.56/1.15 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.56/1.15 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) % 0.56/1.15 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_inverse__nonnegative__iff__nonnegative_0,axiom, % 0.56/1.15 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.56/1.15 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.56/1.15 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.56/1.15 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_add__nonneg__nonneg_0,axiom, % 0.56/1.15 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 0.56/1.15 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a) % 0.56/1.15 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.56/1.15 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_le__zero__iff__pprt__id_1,axiom, % 0.56/1.15 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.56/1.15 | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(V_a,T_a) != V_a % 0.56/1.15 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_le__zero__iff__pprt__id_0,axiom, % 0.56/1.15 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.56/1.15 | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(V_a,T_a) = V_a % 0.56/1.15 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_neg__0__le__iff__le_1,axiom, % 0.56/1.15 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.56/1.15 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) % 0.56/1.15 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_neg__0__le__iff__le_0,axiom, % 0.56/1.15 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.56/1.15 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.56/1.15 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_abs__le__zero__iff_1,axiom, % 0.56/1.15 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 0.56/1.15 | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(T_a),T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_mult__nonneg__nonpos2_0,axiom, % 0.56/1.15 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a) % 0.56/1.15 | c_lessequals(c_HOL_Otimes__class_Otimes(V_b,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.56/1.15 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.56/1.15 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_mult__nonpos__nonneg_0,axiom, % 0.56/1.15 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a) % 0.56/1.15 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.56/1.15 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.56/1.15 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_mult__nonneg__nonpos_0,axiom, % 0.56/1.15 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a) % 0.56/1.15 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.56/1.15 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.56/1.15 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_split__mult__neg__le_1,axiom, % 0.56/1.15 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a) % 0.56/1.15 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.56/1.15 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.56/1.15 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_split__mult__neg__le_0,axiom, % 0.56/1.15 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a) % 0.56/1.15 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.56/1.15 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.56/1.15 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_mult__le__0__iff_5,axiom, % 0.56/1.15 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.56/1.15 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.56/1.15 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.56/1.15 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_mult__le__0__iff_4,axiom, % 0.56/1.15 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.56/1.15 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.56/1.15 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.56/1.15 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_zero__le__pprt_0,axiom, % 0.56/1.15 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.56/1.15 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(V_a,T_a),T_a) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_mult__mono_H_0,axiom, % 0.56/1.15 ( ~ class_Ring__and__Field_Opordered__semiring(T_a) % 0.56/1.15 | 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) % 0.56/1.15 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.56/1.15 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.56/1.15 | ~ c_lessequals(V_c,V_d,T_a) % 0.56/1.15 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_mult__mono_0,axiom, % 0.56/1.15 ( ~ class_Ring__and__Field_Opordered__semiring(T_a) % 0.56/1.15 | 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) % 0.56/1.15 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.56/1.15 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.56/1.15 | ~ c_lessequals(V_c,V_d,T_a) % 0.56/1.15 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_zero__le__mult__iff_3,axiom, % 0.56/1.15 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.56/1.15 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.56/1.15 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.56/1.15 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_zero__le__mult__iff_2,axiom, % 0.56/1.15 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.56/1.15 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.56/1.15 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.56/1.15 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_zero__le__mult__iff_1,axiom, % 0.56/1.15 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.56/1.15 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.56/1.15 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.56/1.15 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_zero__le__mult__iff_0,axiom, % 0.56/1.15 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.56/1.15 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.56/1.15 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.56/1.15 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_mult__nonneg__nonneg_0,axiom, % 0.56/1.15 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a) % 0.56/1.15 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) % 0.56/1.15 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.56/1.15 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_zero__le__mult__iff_5,axiom, % 0.56/1.15 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.56/1.15 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) % 0.56/1.15 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.56/1.15 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_zero__le__mult__iff_4,axiom, % 0.56/1.15 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.56/1.15 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) % 0.56/1.15 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.56/1.15 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_zero__le__square_0,axiom, % 0.56/1.15 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.56/1.15 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_a,T_a),T_a) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_mult__nonpos__nonpos_0,axiom, % 0.56/1.15 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 0.56/1.15 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) % 0.56/1.15 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.56/1.15 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_split__mult__pos__le_1,axiom, % 0.56/1.15 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 0.56/1.15 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) % 0.56/1.15 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.56/1.15 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_split__mult__pos__le_0,axiom, % 0.56/1.15 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 0.56/1.15 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) % 0.56/1.15 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.56/1.15 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_divide__right__mono__neg_0,axiom, % 0.56/1.15 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.56/1.15 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.56/1.15 | 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) % 0.56/1.15 | ~ c_lessequals(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.56/1.15 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_divide__right__mono_0,axiom, % 0.56/1.15 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.56/1.15 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.56/1.15 | 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) % 0.56/1.15 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.56/1.15 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_mult__right__mono__neg_0,axiom, % 0.56/1.15 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 0.56/1.15 | 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) % 0.56/1.15 | ~ c_lessequals(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.56/1.15 | ~ c_lessequals(V_b,V_a,T_a) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_mult__left__mono__neg_0,axiom, % 0.56/1.15 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 0.56/1.15 | 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) % 0.56/1.15 | ~ c_lessequals(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.56/1.15 | ~ c_lessequals(V_b,V_a,T_a) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_mult__right__mono_0,axiom, % 0.56/1.15 ( ~ class_Ring__and__Field_Omult__mono(T_a) % 0.56/1.15 | 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) % 0.56/1.15 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.56/1.15 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_mult__left__mono_0,axiom, % 0.56/1.15 ( ~ class_Ring__and__Field_Omult__mono(T_a) % 0.56/1.15 | 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) % 0.56/1.15 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.56/1.15 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_mult__mono1_0,axiom, % 0.56/1.15 ( ~ class_Ring__and__Field_Omult__mono1(T_a) % 0.56/1.15 | 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) % 0.56/1.15 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.56/1.15 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_mult__le__0__iff_3,axiom, % 0.56/1.15 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.56/1.15 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.56/1.15 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.56/1.15 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_mult__le__0__iff_2,axiom, % 0.56/1.15 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.56/1.15 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.56/1.15 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.56/1.15 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_mult__le__0__iff_1,axiom, % 0.56/1.15 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.56/1.15 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.56/1.15 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.56/1.15 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_mult__le__0__iff_0,axiom, % 0.56/1.15 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.56/1.15 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.56/1.15 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.56/1.15 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_neg__le__0__iff__le_1,axiom, % 0.56/1.15 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.56/1.15 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.56/1.15 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_neg__le__0__iff__le_0,axiom, % 0.56/1.15 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.56/1.15 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.56/1.15 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_abs__of__nonneg_0,axiom, % 0.56/1.15 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 0.56/1.15 | c_HOL_Oabs__class_Oabs(V_a,T_a) = V_a % 0.56/1.15 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_abs__le__zero__iff_0,axiom, % 0.56/1.15 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 0.56/1.15 | V_a = c_HOL_Ozero__class_Ozero(T_a) % 0.56/1.15 | ~ c_lessequals(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_zero__le__iff__zero__nprt_1,axiom, % 0.56/1.15 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.56/1.15 | c_OrderedGroup_Olordered__ab__group__add__class_Onprt(V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.56/1.15 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_zero__le__iff__zero__nprt_0,axiom, % 0.56/1.15 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.56/1.15 | c_OrderedGroup_Olordered__ab__group__add__class_Onprt(V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) % 0.56/1.15 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_add__nonneg__eq__0__iff_1,axiom, % 0.56/1.15 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 0.56/1.15 | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.56/1.15 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) % 0.56/1.15 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) % 0.56/1.15 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_add__nonneg__eq__0__iff_0,axiom, % 0.56/1.15 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 0.56/1.15 | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.56/1.15 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) % 0.56/1.15 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) % 0.56/1.15 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_divide__le__0__iff_5,axiom, % 0.56/1.15 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.56/1.15 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.56/1.15 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.56/1.15 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.56/1.15 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_divide__le__0__iff_4,axiom, % 0.56/1.15 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.56/1.15 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.56/1.15 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.56/1.15 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.56/1.15 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_add__increasing2_0,axiom, % 0.56/1.15 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.56/1.15 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.56/1.15 | c_lessequals(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a) % 0.56/1.15 | ~ c_lessequals(V_b,V_a,T_a) % 0.56/1.15 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_add__increasing_0,axiom, % 0.56/1.15 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.56/1.15 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.56/1.15 | c_lessequals(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a) % 0.56/1.15 | ~ c_lessequals(V_b,V_c,T_a) % 0.56/1.15 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_add__nonneg__eq__0__iff_2,axiom, % 0.56/1.15 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 0.56/1.15 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.56/1.15 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.56/1.15 | 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) ) ). % 0.56/1.15 % 0.56/1.15 cnf(cls_zero__le__divide__iff_3,axiom, % 0.56/1.15 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.56/1.15 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.56/1.15 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.56/1.16 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.56/1.16 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) ) ). % 0.56/1.16 % 0.56/1.16 cnf(cls_zero__le__divide__iff_2,axiom, % 0.56/1.16 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.56/1.16 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.56/1.16 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.56/1.16 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.56/1.16 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) ) ). % 0.56/1.16 % 0.56/1.16 cnf(cls_zero__le__divide__iff_1,axiom, % 0.56/1.16 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.56/1.16 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.56/1.16 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.56/1.16 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.56/1.16 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) ) ). % 0.56/1.16 % 0.56/1.16 cnf(cls_zero__le__divide__iff_0,axiom, % 0.56/1.16 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.56/1.16 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.56/1.16 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.56/1.16 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.56/1.16 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) ) ). % 0.56/1.16 % 0.56/1.16 cnf(cls_power__mono_0,axiom, % 0.56/1.16 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.56/1.16 | 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) % 0.56/1.16 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.56/1.16 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.56/1.16 % 0.56/1.16 cnf(cls_power__le__zero__eq_3,axiom, % 0.56/1.16 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.56/1.16 | V_x = c_HOL_Ozero__class_Ozero(T_a) % 0.56/1.16 | c_lessequals(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.56/1.16 | ~ c_lessequals(c_Power_Opower__class_Opower(V_x,V_n,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.56/1.16 % 0.56/1.16 cnf(cls_inverse__nonpositive__iff__nonpositive_1,axiom, % 0.56/1.16 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.56/1.16 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.56/1.16 | c_lessequals(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.56/1.16 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.56/1.16 % 0.56/1.16 cnf(cls_inverse__nonpositive__iff__nonpositive_0,axiom, % 0.56/1.16 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.56/1.16 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.56/1.16 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.56/1.16 | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.56/1.16 % 0.56/1.16 cnf(cls_zero__le__imp__of__nat_0,axiom, % 0.56/1.16 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.56/1.16 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a),T_a) ) ). % 0.56/1.16 % 0.56/1.16 cnf(cls_of__nat__0__le__iff_0,axiom, % 0.56/1.16 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.56/1.16 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a),T_a) ) ). % 0.56/1.16 % 0.56/1.16 cnf(cls_norm__zero_0,axiom, % 0.56/1.16 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.56/1.16 | c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ). % 0.56/1.16 % 0.56/1.16 cnf(cls_norm__eq__zero_0,axiom, % 0.56/1.16 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.56/1.16 | c_RealVector_Onorm__class_Onorm(V_x,T_a) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) % 0.56/1.16 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.56/1.16 % 0.56/1.16 cnf(cls_pCons__eq__0__iff_0,axiom, % 0.56/1.16 ( ~ class_HOL_Ozero(T_a) % 0.56/1.16 | c_Polynomial_OpCons(V_a,V_p,T_a) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) % 0.56/1.16 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.56/1.16 % 0.56/1.16 cnf(cls_pCons__0__0_0,axiom, % 0.56/1.16 ( ~ class_HOL_Ozero(T_a) % 0.56/1.16 | c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),T_a) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ). % 0.56/1.16 % 0.56/1.16 cnf(cls_norm__ge__zero_0,axiom, % 0.56/1.16 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.56/1.16 | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(V_x,T_a),tc_RealDef_Oreal) ) ). % 0.56/1.16 % 0.56/1.16 cnf(cls_poly__0_0,axiom, % 0.56/1.16 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a) % 0.56/1.16 | c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.56/1.16 % 0.56/1.16 cnf(cls_order__root_1,axiom, % 0.56/1.16 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.56/1.16 | c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.56/1.16 % 0.56/1.16 cnf(cls_complex__mod__minus__le__complex__mod_0,axiom, % 0.56/1.16 c_lessequals(c_HOL_Ouminus__class_Ouminus(c_RealVector_Onorm__class_Onorm(V_x,tc_Complex_Ocomplex),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(V_x,tc_Complex_Ocomplex),tc_RealDef_Oreal) ). % 0.56/1.16 % 0.56/1.16 cnf(cls_complex__Re__le__cmod_0,axiom, % 0.56/1.16 c_lessequals(c_Complex_ORe(V_x),c_RealVector_Onorm__class_Onorm(V_x,tc_Complex_Ocomplex),tc_RealDef_Oreal) ). % 0.56/1.16 % 0.56/1.16 cnf(cls_synthetic__div__pCons_0,axiom, % 0.56/1.16 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a) % 0.56/1.16 | c_Polynomial_Osynthetic__div(c_Polynomial_OpCons(V_a,V_p,T_a),V_c,T_a) = c_Polynomial_OpCons(c_Polynomial_Opoly(V_p,V_c,T_a),c_Polynomial_Osynthetic__div(V_p,V_c,T_a),T_a) ) ). % 0.56/1.16 % 0.56/1.16 cnf(cls_poly__infinity_0,axiom, % 0.56/1.16 ( c_lessequals(V_d,c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(V_a,V_p,tc_Complex_Ocomplex),V_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal) % 0.56/1.16 | ~ c_lessequals(v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__infinity__1(V_a,V_d,V_p),c_RealVector_Onorm__class_Onorm(V_z,tc_Complex_Ocomplex),tc_RealDef_Oreal) % 0.56/1.16 | V_p = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ). % 0.56/1.16 % 0.56/1.16 cnf(cls_norm__le__zero__iff_1,axiom, % 0.56/1.16 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.56/1.16 | c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(T_a),T_a),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ). % 0.56/1.16 % 0.56/1.16 cnf(cls_norm__le__zero__iff_0,axiom, % 0.56/1.16 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.56/1.16 | V_x = c_HOL_Ozero__class_Ozero(T_a) % 0.56/1.16 | ~ c_lessequals(c_RealVector_Onorm__class_Onorm(V_x,T_a),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ). % 0.56/1.16 % 0.56/1.16 cnf(cls_poly__minimum__modulus__disc_0,axiom, % 0.56/1.16 ( c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(V_p,v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__minimum__modulus__disc__1(V_p,V_r),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(V_p,V_w,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal) % 0.56/1.16 | ~ c_lessequals(c_RealVector_Onorm__class_Onorm(V_w,tc_Complex_Ocomplex),V_r,tc_RealDef_Oreal) ) ). % 0.56/1.16 % 0.56/1.16 cnf(cls_poly__bound__exists_1,axiom, % 0.56/1.16 ( c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(V_p,V_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1(V_p,V_r),tc_RealDef_Oreal) % 0.56/1.16 | ~ c_lessequals(c_RealVector_Onorm__class_Onorm(V_z,tc_Complex_Ocomplex),V_r,tc_RealDef_Oreal) ) ). % 0.56/1.16 % 0.56/1.16 cnf(cls_pCons_0,axiom, % 0.56/1.16 c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_cs____,v_sko__local__XpCons__1(v_cs____),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_cs____,V_w,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal) ). % 0.56/1.16 % 0.56/1.16 cnf(cls_pCons_Ohyps_0,axiom, % 0.56/1.16 c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_cs____,v_sko__local__XpCons__Xhyps__1(v_cs____),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_cs____,V_w,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal) ). % 0.56/1.16 % 0.56/1.16 cnf(cls_that_0,axiom, % 0.56/1.16 ( v_thesis____ % 0.56/1.16 | c_lessequals(V_r,c_RealVector_Onorm__class_Onorm(v_sko__local__Xthat__1(v_c____,v_cs____,V_r),tc_Complex_Ocomplex),tc_RealDef_Oreal) ) ). % 0.56/1.16 % 0.56/1.16 cnf(cls_that_1,axiom, % 0.56/1.16 ( v_thesis____ % 0.56/1.16 | ~ c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),v_sko__local__Xthat__1(v_c____,v_cs____,V_r),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal) ) ). % 0.56/1.16 % 0.56/1.16 cnf(cls_real__le__linear_0,axiom, % 0.56/1.16 ( c_lessequals(V_w,V_z,tc_RealDef_Oreal) % 0.56/1.16 | c_lessequals(V_z,V_w,tc_RealDef_Oreal) ) ). % 0.56/1.16 % 0.56/1.16 cnf(cls_linorder__linear_0,axiom, % 0.56/1.16 ( ~ class_Orderings_Olinorder(T_a) % 0.56/1.16 | c_lessequals(V_y,V_x,T_a) % 0.56/1.16 | c_lessequals(V_x,V_y,T_a) ) ). % 0.56/1.16 % 0.56/1.16 cnf(cls_xt1_I6_J_0,axiom, % 0.56/1.16 ( ~ class_Orderings_Oorder(T_a) % 0.56/1.16 | c_lessequals(V_z,V_x,T_a) % 0.56/1.16 | ~ c_lessequals(V_z,V_y,T_a) % 0.56/1.16 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 0.56/1.16 % 0.56/1.16 cnf(cls_order__trans_0,axiom, % 0.56/1.16 ( ~ class_Orderings_Opreorder(T_a) % 0.56/1.16 | c_lessequals(V_x,V_z,T_a) % 0.56/1.16 | ~ c_lessequals(V_y,V_z,T_a) % 0.56/1.16 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.56/1.16 % 0.56/1.16 cnf(cls_real__le__refl_0,axiom, % 0.56/1.16 c_lessequals(V_w,V_w,tc_RealDef_Oreal) ). % 0.56/1.16 % 0.56/1.16 cnf(cls_real__le__trans_0,axiom, % 0.56/1.16 ( c_lessequals(V_i,V_k,tc_RealDef_Oreal) % 0.56/1.16 | ~ c_lessequals(V_j,V_k,tc_RealDef_Oreal) % 0.56/1.16 | ~ c_lessequals(V_i,V_j,tc_RealDef_Oreal) ) ). % 0.56/1.16 % 0.56/1.16 cnf(cls_order__eq__iff_0,axiom, % 0.56/1.16 ( ~ class_Orderings_Oorder(T_a) % 0.56/1.16 | c_lessequals(V_x,V_x,T_a) ) ). % 0.56/1.16 % 0.56/1.16 cnf(cls_order__eq__refl_0,axiom, % 0.56/1.16 ( ~ class_Orderings_Opreorder(T_a) % 0.56/1.16 | c_lessequals(V_x,V_x,T_a) ) ). % 0.56/1.16 % 0.56/1.16 cnf(cls_pCons__eq__iff_0,axiom, % 0.56/1.16 ( ~ class_HOL_Ozero(T_a) % 0.56/1.16 | c_Polynomial_OpCons(V_a,V_p,T_a) != c_Polynomial_OpCons(V_b,V_q,T_a) % 0.56/1.16 | V_a = V_b ) ). % 0.56/1.16 % 0.56/1.16 cnf(cls_pCons__eq__iff_1,axiom, % 0.56/1.16 ( ~ class_HOL_Ozero(T_a) % 0.56/1.16 | c_Polynomial_OpCons(V_a,V_p,T_a) != c_Polynomial_OpCons(V_b,V_q,T_a) % 0.56/1.16 | V_p = V_q ) ). % 0.56/1.16 % 0.56/1.16 cnf(cls_order__antisym__conv_0,axiom, % 0.56/1.16 ( ~ class_Orderings_Oorder(T_a) % 0.56/1.16 | V_x = V_y % 0.56/1.16 | ~ c_lessequals(V_x,V_y,T_a) % 0.56/1.16 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 0.56/1.16 % 0.56/1.16 cnf(cls_order__eq__iff_2,axiom, % 0.56/1.16 ( ~ class_Orderings_Oorder(T_a) % 0.56/1.16 | V_x = V_y % 0.56/1.16 | ~ c_lessequals(V_y,V_x,T_a) % 0.56/1.16 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.56/1.16 % 0.56/1.16 cnf(cls_order__antisym_0,axiom, % 0.56/1.16 ( ~ class_Orderings_Oorder(T_a) % 0.56/1.16 | V_x = V_y % 0.56/1.16 | ~ c_lessequals(V_y,V_x,T_a) % 0.56/1.16 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.56/1.16 % 0.56/1.16 cnf(cls_real__le__antisym_0,axiom, % 0.56/1.16 ( V_z = V_w % 0.56/1.16 | ~ c_lessequals(V_w,V_z,tc_RealDef_Oreal) % 0.56/1.16 | ~ c_lessequals(V_z,V_w,tc_RealDef_Oreal) ) ). % 0.56/1.16 % 0.56/1.16 cnf(cls_CHAINED_0,axiom, % 0.56/1.16 ( c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),V_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal) % 0.56/1.16 | ~ c_lessequals(v_sko__CHAINED__1(v_c____,v_cs____),c_RealVector_Onorm__class_Onorm(V_z,tc_Complex_Ocomplex),tc_RealDef_Oreal) ) ). % 0.56/1.16 % 0.56/1.16 cnf(cls_conjecture_0,negated_conjecture, % 0.56/1.16 ~ v_thesis____ ). % 0.56/1.16 % 0.56/1.16 cnf(cls_conjecture_1,negated_conjecture, % 0.56/1.16 ( v_thesis____ % 0.56/1.16 | c_lessequals(V_xa,c_RealVector_Onorm__class_Onorm(v_x(V_xa),tc_Complex_Ocomplex),tc_RealDef_Oreal) ) ). % 0.56/1.16 % 0.56/1.16 cnf(cls_conjecture_2,negated_conjecture, % 0.56/1.16 ( v_thesis____ % 0.56/1.16 | ~ c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),v_x(V_xa),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal) ) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Ocancel__comm__monoid__add,axiom, % 0.56/1.16 ( class_OrderedGroup_Ocancel__comm__monoid__add(tc_Polynomial_Opoly(T_1)) % 0.56/1.16 | ~ class_OrderedGroup_Ocancel__comm__monoid__add(T_1) ) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Ocomm__ring,axiom, % 0.56/1.16 ( class_Ring__and__Field_Ocomm__ring(tc_Polynomial_Opoly(T_1)) % 0.56/1.16 | ~ class_Ring__and__Field_Ocomm__ring(T_1) ) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Ocomm__ring__1,axiom, % 0.56/1.16 ( class_Ring__and__Field_Ocomm__ring__1(tc_Polynomial_Opoly(T_1)) % 0.56/1.16 | ~ class_Ring__and__Field_Ocomm__ring__1(T_1) ) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ocancel__comm__monoid__add,axiom, % 0.56/1.16 class_OrderedGroup_Ocancel__comm__monoid__add(tc_Complex_Ocomplex) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__ring,axiom, % 0.56/1.16 class_Ring__and__Field_Ocomm__ring(tc_Complex_Ocomplex) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__ring__1,axiom, % 0.56/1.16 class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_RealDef__Oreal__OrderedGroup_Ocancel__comm__monoid__add,axiom, % 0.56/1.16 class_OrderedGroup_Ocancel__comm__monoid__add(tc_RealDef_Oreal) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__ring,axiom, % 0.56/1.16 class_Ring__and__Field_Ocomm__ring(tc_RealDef_Oreal) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__ring__1,axiom, % 0.56/1.16 class_Ring__and__Field_Ocomm__ring__1(tc_RealDef_Oreal) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_nat__OrderedGroup_Ocancel__comm__monoid__add,axiom, % 0.56/1.16 class_OrderedGroup_Ocancel__comm__monoid__add(tc_nat) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add__imp__le,axiom, % 0.56/1.16 class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_nat__Ring__and__Field_Opordered__cancel__semiring,axiom, % 0.56/1.16 class_Ring__and__Field_Opordered__cancel__semiring(tc_nat) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add,axiom, % 0.56/1.16 class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_nat__OrderedGroup_Opordered__comm__monoid__add,axiom, % 0.56/1.16 class_OrderedGroup_Opordered__comm__monoid__add(tc_nat) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_nat__OrderedGroup_Ocancel__ab__semigroup__add,axiom, % 0.56/1.16 class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_nat__OrderedGroup_Ocancel__semigroup__add,axiom, % 0.56/1.16 class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_nat__Ring__and__Field_Opordered__semiring,axiom, % 0.56/1.16 class_Ring__and__Field_Opordered__semiring(tc_nat) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_nat__Ring__and__Field_Ono__zero__divisors,axiom, % 0.56/1.16 class_Ring__and__Field_Ono__zero__divisors(tc_nat) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_nat__Ring__and__Field_Oordered__semidom,axiom, % 0.56/1.16 class_Ring__and__Field_Oordered__semidom(tc_nat) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_nat__Ring__and__Field_Ocomm__semiring__1,axiom, % 0.56/1.16 class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_nat__Ring__and__Field_Ocomm__semiring__0,axiom, % 0.56/1.16 class_Ring__and__Field_Ocomm__semiring__0(tc_nat) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_nat__OrderedGroup_Oab__semigroup__mult,axiom, % 0.56/1.16 class_OrderedGroup_Oab__semigroup__mult(tc_nat) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_nat__OrderedGroup_Ocomm__monoid__mult,axiom, % 0.56/1.16 class_OrderedGroup_Ocomm__monoid__mult(tc_nat) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_nat__OrderedGroup_Oab__semigroup__add,axiom, % 0.56/1.16 class_OrderedGroup_Oab__semigroup__add(tc_nat) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_nat__Ring__and__Field_Ocomm__semiring,axiom, % 0.56/1.16 class_Ring__and__Field_Ocomm__semiring(tc_nat) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_nat__OrderedGroup_Ocomm__monoid__add,axiom, % 0.56/1.16 class_OrderedGroup_Ocomm__monoid__add(tc_nat) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_nat__Ring__and__Field_Ozero__neq__one,axiom, % 0.56/1.16 class_Ring__and__Field_Ozero__neq__one(tc_nat) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_nat__Ring__and__Field_Omult__mono1,axiom, % 0.56/1.16 class_Ring__and__Field_Omult__mono1(tc_nat) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_nat__Ring__and__Field_Omult__zero,axiom, % 0.56/1.16 class_Ring__and__Field_Omult__zero(tc_nat) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_nat__Ring__and__Field_Omult__mono,axiom, % 0.56/1.16 class_Ring__and__Field_Omult__mono(tc_nat) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_nat__OrderedGroup_Omonoid__mult,axiom, % 0.56/1.16 class_OrderedGroup_Omonoid__mult(tc_nat) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_nat__Ring__and__Field_Osemiring,axiom, % 0.56/1.16 class_Ring__and__Field_Osemiring(tc_nat) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_nat__OrderedGroup_Omonoid__add,axiom, % 0.56/1.16 class_OrderedGroup_Omonoid__add(tc_nat) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_nat__Nat_Osemiring__char__0,axiom, % 0.56/1.16 class_Nat_Osemiring__char__0(tc_nat) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_nat__Orderings_Opreorder,axiom, % 0.56/1.16 class_Orderings_Opreorder(tc_nat) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_nat__Orderings_Olinorder,axiom, % 0.56/1.16 class_Orderings_Olinorder(tc_nat) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_nat__Orderings_Oorder,axiom, % 0.56/1.16 class_Orderings_Oorder(tc_nat) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_nat__Power_Opower,axiom, % 0.56/1.16 class_Power_Opower(tc_nat) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_nat__HOL_Ozero,axiom, % 0.56/1.16 class_HOL_Ozero(tc_nat) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__semigroup__add__imp__le,axiom, % 0.56/1.16 class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Opordered__cancel__semiring,axiom, % 0.56/1.16 class_Ring__and__Field_Opordered__cancel__semiring(tc_RealDef_Oreal) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oring__1__no__zero__divisors,axiom, % 0.56/1.16 class_Ring__and__Field_Oring__1__no__zero__divisors(tc_RealDef_Oreal) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__semigroup__add,axiom, % 0.56/1.16 class_OrderedGroup_Opordered__ab__semigroup__add(tc_RealDef_Oreal) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__group__add__abs,axiom, % 0.56/1.16 class_OrderedGroup_Opordered__ab__group__add__abs(tc_RealDef_Oreal) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_RealDef__Oreal__OrderedGroup_Olordered__ab__group__add__abs,axiom, % 0.56/1.16 class_OrderedGroup_Olordered__ab__group__add__abs(tc_RealDef_Oreal) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__comm__monoid__add,axiom, % 0.56/1.16 class_OrderedGroup_Opordered__comm__monoid__add(tc_RealDef_Oreal) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oring__no__zero__divisors,axiom, % 0.56/1.16 class_Ring__and__Field_Oring__no__zero__divisors(tc_RealDef_Oreal) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_RealDef__Oreal__OrderedGroup_Ocancel__ab__semigroup__add,axiom, % 0.56/1.16 class_OrderedGroup_Ocancel__ab__semigroup__add(tc_RealDef_Oreal) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__ring__strict,axiom, % 0.56/1.16 class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_RealDef__Oreal__RealVector_Oreal__normed__div__algebra,axiom, % 0.56/1.16 class_RealVector_Oreal__normed__div__algebra(tc_RealDef_Oreal) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__group__add,axiom, % 0.56/1.16 class_OrderedGroup_Opordered__ab__group__add(tc_RealDef_Oreal) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_RealDef__Oreal__OrderedGroup_Olordered__ab__group__add,axiom, % 0.56/1.16 class_OrderedGroup_Olordered__ab__group__add(tc_RealDef_Oreal) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_RealDef__Oreal__OrderedGroup_Oordered__ab__group__add,axiom, % 0.56/1.16 class_OrderedGroup_Oordered__ab__group__add(tc_RealDef_Oreal) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_RealDef__Oreal__OrderedGroup_Ocancel__semigroup__add,axiom, % 0.56/1.16 class_OrderedGroup_Ocancel__semigroup__add(tc_RealDef_Oreal) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Opordered__semiring,axiom, % 0.56/1.16 class_Ring__and__Field_Opordered__semiring(tc_RealDef_Oreal) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Opordered__ring__abs,axiom, % 0.56/1.16 class_Ring__and__Field_Opordered__ring__abs(tc_RealDef_Oreal) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ono__zero__divisors,axiom, % 0.56/1.16 class_Ring__and__Field_Ono__zero__divisors(tc_RealDef_Oreal) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Odivision__by__zero,axiom, % 0.56/1.16 class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__semidom,axiom, % 0.56/1.16 class_Ring__and__Field_Oordered__semidom(tc_RealDef_Oreal) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring__1,axiom, % 0.56/1.16 class_Ring__and__Field_Ocomm__semiring__1(tc_RealDef_Oreal) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring__0,axiom, % 0.56/1.16 class_Ring__and__Field_Ocomm__semiring__0(tc_RealDef_Oreal) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_RealDef__Oreal__RealVector_Oreal__normed__algebra,axiom, % 0.56/1.16 class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_RealDef__Oreal__OrderedGroup_Oab__semigroup__mult,axiom, % 0.56/1.16 class_OrderedGroup_Oab__semigroup__mult(tc_RealDef_Oreal) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_RealDef__Oreal__RealVector_Oreal__normed__vector,axiom, % 0.56/1.16 class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_RealDef__Oreal__OrderedGroup_Ocomm__monoid__mult,axiom, % 0.56/1.16 class_OrderedGroup_Ocomm__monoid__mult(tc_RealDef_Oreal) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_RealDef__Oreal__OrderedGroup_Oab__semigroup__add,axiom, % 0.56/1.16 class_OrderedGroup_Oab__semigroup__add(tc_RealDef_Oreal) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Opordered__ring,axiom, % 0.56/1.16 class_Ring__and__Field_Opordered__ring(tc_RealDef_Oreal) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__field,axiom, % 0.56/1.16 class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Olordered__ring,axiom, % 0.56/1.16 class_Ring__and__Field_Olordered__ring(tc_RealDef_Oreal) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Odivision__ring,axiom, % 0.56/1.16 class_Ring__and__Field_Odivision__ring(tc_RealDef_Oreal) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring,axiom, % 0.56/1.16 class_Ring__and__Field_Ocomm__semiring(tc_RealDef_Oreal) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_RealDef__Oreal__RealVector_Oreal__normed__field,axiom, % 0.56/1.16 class_RealVector_Oreal__normed__field(tc_RealDef_Oreal) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_RealDef__Oreal__OrderedGroup_Ocomm__monoid__add,axiom, % 0.56/1.16 class_OrderedGroup_Ocomm__monoid__add(tc_RealDef_Oreal) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ozero__neq__one,axiom, % 0.56/1.16 class_Ring__and__Field_Ozero__neq__one(tc_RealDef_Oreal) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__idom,axiom, % 0.56/1.16 class_Ring__and__Field_Oordered__idom(tc_RealDef_Oreal) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Omult__mono1,axiom, % 0.56/1.16 class_Ring__and__Field_Omult__mono1(tc_RealDef_Oreal) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_RealDef__Oreal__OrderedGroup_Oab__group__add,axiom, % 0.56/1.16 class_OrderedGroup_Oab__group__add(tc_RealDef_Oreal) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Omult__zero,axiom, % 0.56/1.16 class_Ring__and__Field_Omult__zero(tc_RealDef_Oreal) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Omult__mono,axiom, % 0.56/1.16 class_Ring__and__Field_Omult__mono(tc_RealDef_Oreal) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_RealDef__Oreal__OrderedGroup_Omonoid__mult,axiom, % 0.56/1.16 class_OrderedGroup_Omonoid__mult(tc_RealDef_Oreal) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Osemiring,axiom, % 0.56/1.16 class_Ring__and__Field_Osemiring(tc_RealDef_Oreal) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_RealDef__Oreal__OrderedGroup_Omonoid__add,axiom, % 0.56/1.16 class_OrderedGroup_Omonoid__add(tc_RealDef_Oreal) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_RealDef__Oreal__OrderedGroup_Ogroup__add,axiom, % 0.56/1.16 class_OrderedGroup_Ogroup__add(tc_RealDef_Oreal) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_RealDef__Oreal__RealVector_Oreal__field,axiom, % 0.56/1.16 class_RealVector_Oreal__field(tc_RealDef_Oreal) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ofield,axiom, % 0.56/1.16 class_Ring__and__Field_Ofield(tc_RealDef_Oreal) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oring,axiom, % 0.56/1.16 class_Ring__and__Field_Oring(tc_RealDef_Oreal) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oidom,axiom, % 0.56/1.16 class_Ring__and__Field_Oidom(tc_RealDef_Oreal) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_RealDef__Oreal__Nat_Osemiring__char__0,axiom, % 0.56/1.16 class_Nat_Osemiring__char__0(tc_RealDef_Oreal) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_RealDef__Oreal__Orderings_Opreorder,axiom, % 0.56/1.16 class_Orderings_Opreorder(tc_RealDef_Oreal) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_RealDef__Oreal__Orderings_Olinorder,axiom, % 0.56/1.16 class_Orderings_Olinorder(tc_RealDef_Oreal) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_RealDef__Oreal__Orderings_Oorder,axiom, % 0.56/1.16 class_Orderings_Oorder(tc_RealDef_Oreal) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_RealDef__Oreal__Int_Onumber__ring,axiom, % 0.56/1.16 class_Int_Onumber__ring(tc_RealDef_Oreal) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_RealDef__Oreal__Power_Opower,axiom, % 0.56/1.16 class_Power_Opower(tc_RealDef_Oreal) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_RealDef__Oreal__HOL_Ozero,axiom, % 0.56/1.16 class_HOL_Ozero(tc_RealDef_Oreal) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Oring__1__no__zero__divisors,axiom, % 0.56/1.16 class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Complex_Ocomplex) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Oring__no__zero__divisors,axiom, % 0.56/1.16 class_Ring__and__Field_Oring__no__zero__divisors(tc_Complex_Ocomplex) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ocancel__ab__semigroup__add,axiom, % 0.56/1.16 class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Complex_Ocomplex) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__div__algebra,axiom, % 0.56/1.16 class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ocancel__semigroup__add,axiom, % 0.56/1.16 class_OrderedGroup_Ocancel__semigroup__add(tc_Complex_Ocomplex) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ono__zero__divisors,axiom, % 0.56/1.16 class_Ring__and__Field_Ono__zero__divisors(tc_Complex_Ocomplex) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Odivision__by__zero,axiom, % 0.56/1.16 class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__1,axiom, % 0.56/1.16 class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__0,axiom, % 0.56/1.16 class_Ring__and__Field_Ocomm__semiring__0(tc_Complex_Ocomplex) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__algebra,axiom, % 0.56/1.16 class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Oab__semigroup__mult,axiom, % 0.56/1.16 class_OrderedGroup_Oab__semigroup__mult(tc_Complex_Ocomplex) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__vector,axiom, % 0.56/1.16 class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ocomm__monoid__mult,axiom, % 0.56/1.16 class_OrderedGroup_Ocomm__monoid__mult(tc_Complex_Ocomplex) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Oab__semigroup__add,axiom, % 0.56/1.16 class_OrderedGroup_Oab__semigroup__add(tc_Complex_Ocomplex) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Odivision__ring,axiom, % 0.56/1.16 class_Ring__and__Field_Odivision__ring(tc_Complex_Ocomplex) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring,axiom, % 0.56/1.16 class_Ring__and__Field_Ocomm__semiring(tc_Complex_Ocomplex) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__field,axiom, % 0.56/1.16 class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ocomm__monoid__add,axiom, % 0.56/1.16 class_OrderedGroup_Ocomm__monoid__add(tc_Complex_Ocomplex) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ozero__neq__one,axiom, % 0.56/1.16 class_Ring__and__Field_Ozero__neq__one(tc_Complex_Ocomplex) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Oab__group__add,axiom, % 0.56/1.16 class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Omult__zero,axiom, % 0.56/1.16 class_Ring__and__Field_Omult__zero(tc_Complex_Ocomplex) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__mult,axiom, % 0.56/1.16 class_OrderedGroup_Omonoid__mult(tc_Complex_Ocomplex) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Osemiring,axiom, % 0.56/1.16 class_Ring__and__Field_Osemiring(tc_Complex_Ocomplex) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__add,axiom, % 0.56/1.16 class_OrderedGroup_Omonoid__add(tc_Complex_Ocomplex) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ogroup__add,axiom, % 0.56/1.16 class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__field,axiom, % 0.56/1.16 class_RealVector_Oreal__field(tc_Complex_Ocomplex) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ofield,axiom, % 0.56/1.16 class_Ring__and__Field_Ofield(tc_Complex_Ocomplex) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Oring,axiom, % 0.56/1.16 class_Ring__and__Field_Oring(tc_Complex_Ocomplex) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Oidom,axiom, % 0.56/1.16 class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_Complex__Ocomplex__Nat_Osemiring__char__0,axiom, % 0.56/1.16 class_Nat_Osemiring__char__0(tc_Complex_Ocomplex) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_Complex__Ocomplex__Int_Onumber__ring,axiom, % 0.56/1.16 class_Int_Onumber__ring(tc_Complex_Ocomplex) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_Complex__Ocomplex__Power_Opower,axiom, % 0.56/1.16 class_Power_Opower(tc_Complex_Ocomplex) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_Complex__Ocomplex__HOL_Ozero,axiom, % 0.56/1.16 class_HOL_Ozero(tc_Complex_Ocomplex) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Opordered__ab__semigroup__add__imp__le,axiom, % 0.56/1.16 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_Polynomial_Opoly(T_1)) % 0.56/1.16 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Opordered__cancel__semiring,axiom, % 0.56/1.16 ( class_Ring__and__Field_Opordered__cancel__semiring(tc_Polynomial_Opoly(T_1)) % 0.56/1.16 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oring__1__no__zero__divisors,axiom, % 0.56/1.16 ( class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Polynomial_Opoly(T_1)) % 0.56/1.16 | ~ class_Ring__and__Field_Oidom(T_1) ) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Opordered__ab__semigroup__add,axiom, % 0.56/1.16 ( class_OrderedGroup_Opordered__ab__semigroup__add(tc_Polynomial_Opoly(T_1)) % 0.56/1.16 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Opordered__ab__group__add__abs,axiom, % 0.56/1.16 ( class_OrderedGroup_Opordered__ab__group__add__abs(tc_Polynomial_Opoly(T_1)) % 0.56/1.16 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Opordered__comm__monoid__add,axiom, % 0.56/1.16 ( class_OrderedGroup_Opordered__comm__monoid__add(tc_Polynomial_Opoly(T_1)) % 0.56/1.16 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oring__no__zero__divisors,axiom, % 0.56/1.16 ( class_Ring__and__Field_Oring__no__zero__divisors(tc_Polynomial_Opoly(T_1)) % 0.56/1.16 | ~ class_Ring__and__Field_Oidom(T_1) ) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Ocancel__ab__semigroup__add,axiom, % 0.56/1.16 ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Polynomial_Opoly(T_1)) % 0.56/1.16 | ~ class_OrderedGroup_Ocancel__comm__monoid__add(T_1) ) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oordered__ring__strict,axiom, % 0.56/1.16 ( class_Ring__and__Field_Oordered__ring__strict(tc_Polynomial_Opoly(T_1)) % 0.56/1.16 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Opordered__ab__group__add,axiom, % 0.56/1.16 ( class_OrderedGroup_Opordered__ab__group__add(tc_Polynomial_Opoly(T_1)) % 0.56/1.16 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Oordered__ab__group__add,axiom, % 0.56/1.16 ( class_OrderedGroup_Oordered__ab__group__add(tc_Polynomial_Opoly(T_1)) % 0.56/1.16 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Ocancel__semigroup__add,axiom, % 0.56/1.16 ( class_OrderedGroup_Ocancel__semigroup__add(tc_Polynomial_Opoly(T_1)) % 0.56/1.16 | ~ class_OrderedGroup_Ocancel__comm__monoid__add(T_1) ) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Opordered__semiring,axiom, % 0.56/1.16 ( class_Ring__and__Field_Opordered__semiring(tc_Polynomial_Opoly(T_1)) % 0.56/1.16 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Opordered__ring__abs,axiom, % 0.56/1.16 ( class_Ring__and__Field_Opordered__ring__abs(tc_Polynomial_Opoly(T_1)) % 0.56/1.16 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Ono__zero__divisors,axiom, % 0.56/1.16 ( class_Ring__and__Field_Ono__zero__divisors(tc_Polynomial_Opoly(T_1)) % 0.56/1.16 | ~ class_Ring__and__Field_Oidom(T_1) ) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oordered__semidom,axiom, % 0.56/1.16 ( class_Ring__and__Field_Oordered__semidom(tc_Polynomial_Opoly(T_1)) % 0.56/1.16 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Ocomm__semiring__1,axiom, % 0.56/1.16 ( class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(T_1)) % 0.56/1.16 | ~ class_Ring__and__Field_Ocomm__semiring__1(T_1) ) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Ocomm__semiring__0,axiom, % 0.56/1.16 ( class_Ring__and__Field_Ocomm__semiring__0(tc_Polynomial_Opoly(T_1)) % 0.56/1.16 | ~ class_Ring__and__Field_Ocomm__semiring__0(T_1) ) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Oab__semigroup__mult,axiom, % 0.56/1.16 ( class_OrderedGroup_Oab__semigroup__mult(tc_Polynomial_Opoly(T_1)) % 0.56/1.16 | ~ class_Ring__and__Field_Ocomm__semiring__0(T_1) ) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Ocomm__monoid__mult,axiom, % 0.56/1.16 ( class_OrderedGroup_Ocomm__monoid__mult(tc_Polynomial_Opoly(T_1)) % 0.56/1.16 | ~ class_Ring__and__Field_Ocomm__semiring__1(T_1) ) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Oab__semigroup__add,axiom, % 0.56/1.16 ( class_OrderedGroup_Oab__semigroup__add(tc_Polynomial_Opoly(T_1)) % 0.56/1.16 | ~ class_OrderedGroup_Ocomm__monoid__add(T_1) ) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Opordered__ring,axiom, % 0.56/1.16 ( class_Ring__and__Field_Opordered__ring(tc_Polynomial_Opoly(T_1)) % 0.56/1.16 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Ocomm__semiring,axiom, % 0.56/1.16 ( class_Ring__and__Field_Ocomm__semiring(tc_Polynomial_Opoly(T_1)) % 0.56/1.16 | ~ class_Ring__and__Field_Ocomm__semiring__0(T_1) ) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Ocomm__monoid__add,axiom, % 0.56/1.16 ( class_OrderedGroup_Ocomm__monoid__add(tc_Polynomial_Opoly(T_1)) % 0.56/1.16 | ~ class_OrderedGroup_Ocomm__monoid__add(T_1) ) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Ozero__neq__one,axiom, % 0.56/1.16 ( class_Ring__and__Field_Ozero__neq__one(tc_Polynomial_Opoly(T_1)) % 0.56/1.16 | ~ class_Ring__and__Field_Ocomm__semiring__1(T_1) ) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oordered__idom,axiom, % 0.56/1.16 ( class_Ring__and__Field_Oordered__idom(tc_Polynomial_Opoly(T_1)) % 0.56/1.16 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Omult__mono1,axiom, % 0.56/1.16 ( class_Ring__and__Field_Omult__mono1(tc_Polynomial_Opoly(T_1)) % 0.56/1.16 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Oab__group__add,axiom, % 0.56/1.16 ( class_OrderedGroup_Oab__group__add(tc_Polynomial_Opoly(T_1)) % 0.56/1.16 | ~ class_OrderedGroup_Oab__group__add(T_1) ) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Omult__zero,axiom, % 0.56/1.16 ( class_Ring__and__Field_Omult__zero(tc_Polynomial_Opoly(T_1)) % 0.56/1.16 | ~ class_Ring__and__Field_Ocomm__semiring__0(T_1) ) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Omult__mono,axiom, % 0.56/1.16 ( class_Ring__and__Field_Omult__mono(tc_Polynomial_Opoly(T_1)) % 0.56/1.16 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Omonoid__mult,axiom, % 0.56/1.16 ( class_OrderedGroup_Omonoid__mult(tc_Polynomial_Opoly(T_1)) % 0.56/1.16 | ~ class_Ring__and__Field_Ocomm__semiring__1(T_1) ) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Osemiring,axiom, % 0.56/1.16 ( class_Ring__and__Field_Osemiring(tc_Polynomial_Opoly(T_1)) % 0.56/1.16 | ~ class_Ring__and__Field_Ocomm__semiring__0(T_1) ) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Omonoid__add,axiom, % 0.56/1.16 ( class_OrderedGroup_Omonoid__add(tc_Polynomial_Opoly(T_1)) % 0.56/1.16 | ~ class_OrderedGroup_Ocomm__monoid__add(T_1) ) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Ogroup__add,axiom, % 0.56/1.16 ( class_OrderedGroup_Ogroup__add(tc_Polynomial_Opoly(T_1)) % 0.56/1.16 | ~ class_OrderedGroup_Oab__group__add(T_1) ) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oring,axiom, % 0.56/1.16 ( class_Ring__and__Field_Oring(tc_Polynomial_Opoly(T_1)) % 0.56/1.16 | ~ class_Ring__and__Field_Ocomm__ring(T_1) ) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oidom,axiom, % 0.56/1.16 ( class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(T_1)) % 0.56/1.16 | ~ class_Ring__and__Field_Oidom(T_1) ) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_Polynomial__Opoly__Nat_Osemiring__char__0,axiom, % 0.56/1.16 ( class_Nat_Osemiring__char__0(tc_Polynomial_Opoly(T_1)) % 0.56/1.16 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_Polynomial__Opoly__Orderings_Opreorder,axiom, % 0.56/1.16 ( class_Orderings_Opreorder(tc_Polynomial_Opoly(T_1)) % 0.56/1.16 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_Polynomial__Opoly__Orderings_Olinorder,axiom, % 0.56/1.16 ( class_Orderings_Olinorder(tc_Polynomial_Opoly(T_1)) % 0.56/1.16 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_Polynomial__Opoly__Orderings_Oorder,axiom, % 0.56/1.16 ( class_Orderings_Oorder(tc_Polynomial_Opoly(T_1)) % 0.56/1.16 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_Polynomial__Opoly__Int_Onumber__ring,axiom, % 0.56/1.16 ( class_Int_Onumber__ring(tc_Polynomial_Opoly(T_1)) % 0.56/1.16 | ~ class_Ring__and__Field_Ocomm__ring__1(T_1) ) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_Polynomial__Opoly__Power_Opower,axiom, % 0.56/1.16 ( class_Power_Opower(tc_Polynomial_Opoly(T_1)) % 0.56/1.16 | ~ class_Ring__and__Field_Ocomm__semiring__1(T_1) ) ). % 0.56/1.16 % 0.56/1.16 cnf(clsarity_Polynomial__Opoly__HOL_Ozero,axiom, % 0.56/1.16 ( class_HOL_Ozero(tc_Polynomial_Opoly(T_1)) % 0.56/1.16 | ~ class_HOL_Ozero(T_1) ) ). % 0.56/1.16 % 0.56/1.16 %------------------------------------------------------------------------------ % 0.56/1.16 %------------------------------------------- % 0.56/1.16 % Proof found % 0.56/1.16 % SZS status Theorem for theBenchmark % 0.56/1.16 % SZS output start Proof % 0.56/1.16 %ClaNum:719(EqnAxiom:125) % 0.56/1.16 %VarNum:3746(SingletonVarNum:1138) % 0.56/1.16 %MaxLitNum:6 % 0.56/1.16 %MaxfuncDepth:4 % 0.56/1.16 %SharedTerms:148 % 0.56/1.16 %goalClause: 259 380 713 % 0.56/1.16 %singleGoalClaCount:1 % 0.56/1.16 [126]P1(a1) % 0.56/1.16 [127]P1(a2) % 0.56/1.16 [128]P2(a1) % 0.56/1.16 [129]P3(a1) % 0.56/1.16 [130]P3(a22) % 0.56/1.16 [131]P3(a2) % 0.56/1.16 [132]P8(a1) % 0.56/1.16 [133]P8(a2) % 0.56/1.16 [134]P9(a1) % 0.56/1.16 [135]P9(a2) % 0.56/1.16 [136]P4(a1) % 0.56/1.16 [137]P4(a2) % 0.56/1.16 [138]P33(a1) % 0.56/1.16 [139]P33(a2) % 0.56/1.16 [140]P24(a1) % 0.56/1.16 [141]P24(a2) % 0.56/1.16 [142]P18(a1) % 0.56/1.16 [143]P34(a1) % 0.56/1.16 [144]P34(a2) % 0.56/1.16 [145]P35(a1) % 0.56/1.16 [146]P35(a2) % 0.56/1.16 [147]P44(a1) % 0.56/1.16 [148]P44(a2) % 0.56/1.16 [149]P36(a1) % 0.56/1.16 [150]P36(a2) % 0.56/1.16 [151]P45(a1) % 0.56/1.16 [152]P25(a1) % 0.56/1.16 [153]P25(a2) % 0.56/1.16 [154]P46(a1) % 0.56/1.16 [155]P46(a22) % 0.56/1.16 [156]P37(a1) % 0.56/1.16 [157]P37(a2) % 0.56/1.16 [158]P19(a1) % 0.56/1.16 [159]P58(a1) % 0.56/1.16 [160]P58(a2) % 0.56/1.16 [161]P38(a1) % 0.56/1.16 [162]P38(a2) % 0.56/1.16 [163]P21(a1) % 0.56/1.16 [164]P47(a1) % 0.56/1.16 [165]P53(a1) % 0.56/1.16 [166]P60(a1) % 0.56/1.16 [167]P60(a22) % 0.56/1.16 [168]P60(a2) % 0.56/1.16 [169]P39(a1) % 0.56/1.16 [170]P39(a22) % 0.56/1.16 [171]P39(a2) % 0.56/1.16 [172]P10(a1) % 0.56/1.16 [173]P10(a22) % 0.56/1.16 [174]P10(a2) % 0.56/1.16 [175]P11(a1) % 0.56/1.16 [176]P11(a22) % 0.56/1.16 [177]P11(a2) % 0.56/1.16 [178]P48(a1) % 0.56/1.16 [179]P49(a1) % 0.56/1.16 [180]P49(a22) % 0.56/1.16 [181]P49(a2) % 0.56/1.16 [182]P20(a1) % 0.56/1.16 [183]P59(a1) % 0.56/1.16 [184]P59(a2) % 0.56/1.16 [185]P61(a1) % 0.56/1.16 [186]P61(a22) % 0.56/1.16 [187]P61(a2) % 0.56/1.16 [188]P52(a1) % 0.56/1.16 [189]P52(a22) % 0.56/1.16 [190]P52(a2) % 0.56/1.16 [191]P26(a1) % 0.56/1.16 [192]P26(a22) % 0.56/1.16 [193]P26(a2) % 0.56/1.16 [194]P22(a1) % 0.56/1.16 [195]P22(a22) % 0.56/1.16 [196]P22(a2) % 0.56/1.16 [197]P56(a1) % 0.56/1.16 [198]P54(a1) % 0.56/1.16 [199]P27(a1) % 0.56/1.16 [200]P27(a22) % 0.56/1.16 [201]P28(a1) % 0.56/1.16 [202]P28(a22) % 0.56/1.16 [203]P5(a1) % 0.56/1.16 [204]P5(a22) % 0.56/1.16 [205]P5(a2) % 0.56/1.16 [206]P40(a1) % 0.56/1.16 [207]P40(a22) % 0.56/1.16 [208]P40(a2) % 0.56/1.16 [209]P29(a1) % 0.56/1.16 [210]P29(a22) % 0.56/1.16 [211]P17(a1) % 0.56/1.16 [212]P17(a22) % 0.56/1.17 [213]P17(a2) % 0.56/1.17 [214]P12(a1) % 0.56/1.17 [215]P12(a22) % 0.56/1.17 [216]P12(a2) % 0.56/1.17 [217]P41(a1) % 0.56/1.17 [218]P41(a22) % 0.56/1.17 [219]P41(a2) % 0.56/1.17 [220]P14(a1) % 0.56/1.17 [221]P14(a22) % 0.56/1.17 [222]P14(a2) % 0.56/1.17 [223]P15(a1) % 0.56/1.17 [224]P15(a22) % 0.56/1.17 [225]P15(a2) % 0.56/1.17 [226]P23(a1) % 0.56/1.17 [227]P23(a22) % 0.56/1.17 [228]P23(a2) % 0.56/1.17 [229]P55(a1) % 0.56/1.17 [230]P55(a22) % 0.56/1.17 [231]P57(a1) % 0.56/1.17 [232]P57(a22) % 0.56/1.17 [233]P50(a1) % 0.56/1.17 [234]P50(a22) % 0.56/1.17 [235]P51(a1) % 0.56/1.17 [236]P51(a22) % 0.56/1.17 [237]P30(a1) % 0.56/1.17 [238]P30(a22) % 0.56/1.17 [239]P31(a1) % 0.56/1.17 [240]P31(a22) % 0.56/1.17 [241]P32(a1) % 0.56/1.17 [242]P32(a22) % 0.56/1.17 [243]P16(a1) % 0.56/1.17 [244]P16(a22) % 0.56/1.17 [245]P16(a2) % 0.56/1.17 [246]P42(a1) % 0.56/1.17 [247]P42(a2) % 0.56/1.17 [248]P43(a1) % 0.56/1.17 [249]P43(a2) % 0.56/1.17 [259]~P62(a5000) % 0.56/1.17 [250]E(f4(f3(a2)),f3(a1)) % 0.56/1.17 [260]~E(f3(f21(a2)),a23) % 0.56/1.17 [251]P6(x2511,x2511,a1) % 0.56/1.17 [252]P6(f4(x2521),f13(x2521,a2),a1) % 0.56/1.17 [254]P6(f12(f13(x2541,a2),a1),f13(x2541,a2),a1) % 0.56/1.17 [257]P6(f13(f14(a23,f25(a23),a2),a2),f13(f14(a23,x2571,a2),a2),a1) % 0.56/1.17 [258]P6(f13(f14(a23,f30(a23),a2),a2),f13(f14(a23,x2581,a2),a2),a1) % 0.56/1.17 [253]E(f5(x2531,x2532,a1),f5(x2532,x2531,a1)) % 0.56/1.17 [256]P6(f12(f5(x2561,x2561,a1),a1),f5(x2562,x2562,a1),a1) % 0.56/1.17 [255]E(f5(f5(x2551,x2552,a1),x2553,a1),f5(x2551,f5(x2552,x2553,a1),a1)) % 0.56/1.17 [261]~P53(x2611)+P2(f21(x2611)) % 0.56/1.17 [262]~P53(x2621)+P3(f21(x2621)) % 0.56/1.17 [263]~P8(x2631)+P8(f21(x2631)) % 0.56/1.17 [264]~P8(x2641)+P9(f21(x2641)) % 0.56/1.17 [265]~P43(x2651)+P4(f21(x2651)) % 0.56/1.17 [266]~P42(x2661)+P33(f21(x2661)) % 0.56/1.17 [267]~P53(x2671)+P18(f21(x2671)) % 0.56/1.17 [268]~P44(x2681)+P44(f21(x2681)) % 0.56/1.17 [269]~P53(x2691)+P45(f21(x2691)) % 0.56/1.17 [270]~P53(x2701)+P46(f21(x2701)) % 0.56/1.17 [271]~P44(x2711)+P58(f21(x2711)) % 0.56/1.17 [272]~P53(x2721)+P21(f21(x2721)) % 0.56/1.17 [273]~P53(x2731)+P53(f21(x2731)) % 0.56/1.17 [274]~P40(x2741)+P60(f21(x2741)) % 0.56/1.17 [275]~P39(x2751)+P39(f21(x2751)) % 0.56/1.17 [276]~P11(x2761)+P10(f21(x2761)) % 0.56/1.17 [277]~P11(x2771)+P11(f21(x2771)) % 0.56/1.17 [278]~P40(x2781)+P49(f21(x2781)) % 0.56/1.17 [279]~P44(x2791)+P59(f21(x2791)) % 0.56/1.17 [280]~P39(x2801)+P61(f21(x2801)) % 0.56/1.17 [281]~P44(x2811)+P52(f21(x2811)) % 0.56/1.17 [282]~P39(x2821)+P26(f21(x2821)) % 0.56/1.17 [283]~P11(x2831)+P22(f21(x2831)) % 0.56/1.17 [284]~P53(x2841)+P56(f21(x2841)) % 0.56/1.17 [285]~P53(x2851)+P54(f21(x2851)) % 0.56/1.17 [286]~P53(x2861)+P27(f21(x2861)) % 0.56/1.17 [287]~P53(x2871)+P28(f21(x2871)) % 0.56/1.17 [288]~P5(x2881)+P5(f21(x2881)) % 0.56/1.17 [289]~P40(x2891)+P40(f21(x2891)) % 0.56/1.17 [290]~P53(x2901)+P29(f21(x2901)) % 0.56/1.17 [291]~P39(x2911)+P17(f21(x2911)) % 0.56/1.17 [292]~P40(x2921)+P12(f21(x2921)) % 0.56/1.17 [293]~P40(x2931)+P41(f21(x2931)) % 0.56/1.17 [294]~P16(x2941)+P14(f21(x2941)) % 0.56/1.17 [295]~P16(x2951)+P15(f21(x2951)) % 0.56/1.17 [296]~P39(x2961)+P23(f21(x2961)) % 0.56/1.17 [297]~P53(x2971)+P55(f21(x2971)) % 0.56/1.17 [298]~P53(x2981)+P57(f21(x2981)) % 0.56/1.17 [299]~P53(x2991)+P50(f21(x2991)) % 0.56/1.17 [300]~P53(x3001)+P51(f21(x3001)) % 0.56/1.17 [301]~P53(x3011)+P30(f21(x3011)) % 0.56/1.17 [302]~P53(x3021)+P31(f21(x3021)) % 0.56/1.17 [303]~P53(x3031)+P32(f21(x3031)) % 0.56/1.17 [304]~P16(x3041)+P16(f21(x3041)) % 0.56/1.17 [305]~P42(x3051)+P42(f21(x3051)) % 0.56/1.17 [306]~P43(x3061)+P43(f21(x3061)) % 0.56/1.17 [307]~P36(x3071)+E(f13(f3(x3071),x3071),f3(a1)) % 0.56/1.17 [309]~P9(x3091)+E(f12(f3(x3091),x3091),f3(x3091)) % 0.56/1.17 [310]~P21(x3101)+E(f12(f3(x3101),x3101),f3(x3101)) % 0.56/1.17 [311]~P2(x3111)+E(f6(f3(x3111),x3111),f3(x3111)) % 0.56/1.17 [312]~P38(x3121)+E(f8(f3(x3121),x3121),f3(x3121)) % 0.56/1.17 [313]~P20(x3131)+E(f15(f3(x3131),x3131),f3(x3131)) % 0.56/1.17 [314]~P20(x3141)+E(f16(f3(x3141),x3141),f3(x3141)) % 0.56/1.17 [369]~P20(x3691)+E(f11(f3(x3691),f3(x3691),x3691),f3(x3691)) % 0.56/1.17 [380]P62(a5000)+P6(x3801,f13(f31(x3801),a2),a1) % 0.56/1.17 [401]~P36(x4011)+P6(f13(f3(x4011),x4011),f3(a1),a1) % 0.56/1.17 [406]~P2(x4061)+P6(f6(f3(x4061),x4061),f3(x4061),x4061) % 0.56/1.17 [544]P62(a5000)+P6(x5441,f13(f32(a24,a23,x5441),a2),a1) % 0.56/1.17 [398]~P5(x3981)+E(f18(f3(x3981),f3(f21(x3981)),x3981),f3(f21(x3981))) % 0.56/1.17 [557]~P54(x5571)+E(f11(f5(f3(x5571),f3(x5571),x5571),f5(f3(x5571),f3(x5571),x5571),x5571),f3(x5571)) % 0.56/1.17 [689]~P54(x6891)+P6(f11(f5(f3(x6891),f3(x6891),x6891),f5(f3(x6891),f3(x6891),x6891),x6891),f3(x6891),x6891) % 0.56/1.17 [707]~P6(f27(a24,a23),f13(x7071,a2),a1)+P6(f13(f14(f18(a24,a23,a2),f3(a2),a2),a2),f13(f14(f18(a24,a23,a2),x7071,a2),a2),a1) % 0.56/1.17 [713]P62(a5000)+~P6(f13(f14(f18(a24,a23,a2),f3(a2),a2),a2),f13(f14(f18(a24,a23,a2),f31(x7131),a2),a2),a1) % 0.56/1.17 [717]P62(a5000)+~P6(f13(f14(f18(a24,a23,a2),f3(a2),a2),a2),f13(f14(f18(a24,a23,a2),f32(a24,a23,x7171),a2),a2),a1) % 0.56/1.17 [338]~P31(x3382)+P6(x3381,x3381,x3382) % 0.56/1.17 [339]~P32(x3392)+P6(x3391,x3391,x3392) % 0.56/1.17 [407]P6(x4072,x4071,a1)+P6(x4071,x4072,a1) % 0.56/1.17 [340]~P13(x3402)+E(f5(x3401,x3401,x3402),x3401) % 0.56/1.17 [342]~P8(x3422)+E(f10(x3421,x3421,x3422),f3(x3422)) % 0.56/1.17 [344]~P9(x3442)+E(f10(x3441,x3441,x3442),f3(x3442)) % 0.56/1.17 [379]~P2(x3792)+P6(x3791,f6(x3791,x3792),x3792) % 0.56/1.17 [381]~P36(x3812)+P6(f3(a1),f13(x3811,x3812),a1) % 0.56/1.17 [391]~P2(x3911)+P6(f3(x3911),f6(x3912,x3911),x3911) % 0.56/1.17 [393]~P46(x3931)+P6(f3(x3931),f17(x3932,x3931),x3931) % 0.56/1.17 [394]~P20(x3941)+P6(f3(x3941),f15(x3942,x3941),x3941) % 0.56/1.17 [395]~P20(x3952)+P6(f16(x3951,x3952),f3(x3952),x3952) % 0.56/1.17 [413]~P2(x4132)+P6(f12(x4131,x4132),f6(x4131,x4132),x4132) % 0.56/1.17 [454]~P54(x4541)+P6(f3(x4541),f5(x4542,x4542,x4541),x4541) % 0.56/1.17 [325]~P9(x3252)+E(f12(f12(x3251,x3252),x3252),x3251) % 0.56/1.17 [326]~P7(x3262)+E(f12(f12(x3261,x3262),x3262),x3261) % 0.56/1.17 [334]~P36(x3342)+E(f13(f12(x3341,x3342),x3342),f13(x3341,x3342)) % 0.56/1.17 [335]~P2(x3352)+E(f6(f12(x3351,x3352),x3352),f6(x3351,x3352)) % 0.56/1.17 [336]~P2(x3362)+E(f6(f6(x3361,x3362),x3362),f6(x3361,x3362)) % 0.56/1.17 [337]~P53(x3372)+E(f6(f17(x3371,x3372),x3372),f17(x3371,x3372)) % 0.56/1.17 [345]~P9(x3452)+E(f10(x3451,f3(x3452),x3452),x3451) % 0.56/1.17 [346]~P39(x3462)+E(f11(x3461,f3(x3462),x3462),x3461) % 0.56/1.17 [347]~P11(x3472)+E(f11(x3471,f3(x3472),x3472),x3471) % 0.56/1.17 [348]~P22(x3482)+E(f11(x3481,f3(x3482),x3482),x3481) % 0.56/1.17 [350]~P39(x3501)+E(f11(f3(x3501),x3502,x3501),x3502) % 0.56/1.17 [351]~P11(x3511)+E(f11(f3(x3511),x3512,x3511),x3512) % 0.56/1.17 [352]~P22(x3521)+E(f11(f3(x3521),x3522,x3521),x3522) % 0.56/1.17 [353]~P3(x3532)+~E(f17(f7(x3531,a22),x3532),f3(x3532)) % 0.56/1.17 [355]~P24(x3552)+E(f5(x3551,f3(x3552),x3552),f3(x3552)) % 0.56/1.17 [356]~P58(x3562)+E(f5(x3561,f3(x3562),x3562),f3(x3562)) % 0.56/1.17 [357]~P39(x3572)+E(f5(x3571,f3(x3572),x3572),f3(x3572)) % 0.56/1.17 [358]~P49(x3582)+E(f5(x3581,f3(x3582),x3582),f3(x3582)) % 0.56/1.17 [360]~P24(x3601)+E(f5(f3(x3601),x3602,x3601),f3(x3601)) % 0.56/1.17 [361]~P58(x3611)+E(f5(f3(x3611),x3612,x3611),f3(x3611)) % 0.56/1.17 [363]~P39(x3631)+E(f5(f3(x3631),x3632,x3631),f3(x3631)) % 0.56/1.17 [364]~P49(x3641)+E(f5(f3(x3641),x3642,x3641),f3(x3641)) % 0.56/1.17 [365]~P34(x3651)+E(f9(f3(x3651),x3652,x3651),f3(x3651)) % 0.56/1.17 [366]~P35(x3661)+E(f9(f3(x3661),x3662,x3661),f3(x3661)) % 0.56/1.17 [373]~P9(x3731)+E(f10(f3(x3731),x3732,x3731),f12(x3732,x3731)) % 0.56/1.17 [377]~P20(x3772)+E(f15(f12(x3771,x3772),x3772),f12(f16(x3771,x3772),x3772)) % 0.56/1.17 [378]~P20(x3782)+E(f16(f12(x3781,x3782),x3782),f12(f15(x3781,x3782),x3782)) % 0.56/1.17 [383]~P9(x3832)+E(f11(x3831,f12(x3831,x3832),x3832),f3(x3832)) % 0.56/1.17 [384]~P8(x3842)+E(f11(f12(x3841,x3842),x3841,x3842),f3(x3842)) % 0.56/1.17 [386]~P9(x3862)+E(f11(f12(x3861,x3862),x3861,x3862),f3(x3862)) % 0.56/1.17 [415]~P20(x4152)+E(f11(f15(x4151,x4152),f16(x4151,x4152),x4152),x4151) % 0.56/1.17 [431]~P19(x4312)+E(f10(f15(x4311,x4312),f16(x4311,x4312),x4312),f6(x4311,x4312)) % 0.56/1.17 [441]~P2(x4412)+P6(f12(f6(x4411,x4412),x4412),f3(x4412),x4412) % 0.56/1.17 [446]~P44(x4462)+E(f5(f12(x4461,x4462),f12(x4461,x4462),x4462),f5(x4461,x4461,x4462)) % 0.56/1.17 [447]~P53(x4472)+E(f5(f6(x4471,x4472),f6(x4471,x4472),x4472),f5(x4471,x4471,x4472)) % 0.56/1.17 [537]E(x5371,f3(a1))+~E(f5(x5372,x5372,a1),f12(f5(x5371,x5371,a1),a1)) % 0.56/1.17 [538]E(x5381,f3(a1))+~E(f5(x5381,x5381,a1),f12(f5(x5382,x5382,a1),a1)) % 0.56/1.17 [374]~P44(x3741)+E(f14(f3(f21(x3741)),x3742,x3741),f3(x3741)) % 0.56/1.17 [375]~P40(x3751)+E(f14(f3(f21(x3751)),x3752,x3751),f3(x3751)) % 0.56/1.17 [382]~P40(x3821)+E(f19(f3(f21(x3821)),x3822,x3821),f3(f21(x3821))) % 0.56/1.17 [529]~P47(x5291)+P6(f3(x5291),f8(f17(f7(x5292,a22),x5291),x5291),x5291) % 0.56/1.17 [419]~P39(x4193)+E(f5(x4191,x4192,x4193),f5(x4192,x4191,x4193)) % 0.56/1.17 [421]~P39(x4213)+E(f11(x4211,x4212,x4213),f11(x4212,x4211,x4213)) % 0.56/1.17 [422]~P11(x4223)+E(f11(x4221,x4222,x4223),f11(x4222,x4221,x4223)) % 0.56/1.17 [436]~P8(x4363)+E(f11(x4361,f12(x4362,x4363),x4363),f10(x4361,x4362,x4363)) % 0.56/1.17 [437]~P9(x4373)+E(f11(x4371,f12(x4372,x4373),x4373),f10(x4371,x4372,x4373)) % 0.56/1.17 [438]~P4(x4383)+E(f11(x4381,f12(x4382,x4383),x4383),f10(x4381,x4382,x4383)) % 0.56/1.17 [439]~P34(x4393)+E(f5(x4391,f8(x4392,x4393),x4393),f9(x4391,x4392,x4393)) % 0.56/1.17 [440]~P9(x4403)+E(f10(x4401,f12(x4402,x4403),x4403),f11(x4401,x4402,x4403)) % 0.56/1.17 [444]~P33(x4442)+E(f5(f12(x4441,x4442),x4443,x4442),f5(x4441,f12(x4443,x4442),x4442)) % 0.56/1.17 [445]~P33(x4452)+E(f5(f12(x4451,x4452),f12(x4453,x4452),x4452),f5(x4451,x4453,x4452)) % 0.56/1.17 [448]~P9(x4483)+E(f10(f11(x4481,x4482,x4483),x4482,x4483),x4481) % 0.56/1.17 [449]~P9(x4493)+E(f11(f10(x4491,x4492,x4493),x4492,x4493),x4491) % 0.56/1.17 [472]~P8(x4723)+E(f12(f10(x4721,x4722,x4723),x4723),f10(x4722,x4721,x4723)) % 0.56/1.17 [489]~P8(x4892)+E(f11(f12(x4891,x4892),f11(x4893,x4891,x4892),x4892),x4893) % 0.56/1.17 [490]~P9(x4902)+E(f11(f12(x4901,x4902),f11(x4901,x4903,x4902),x4902),x4903) % 0.56/1.17 [497]~P33(x4973)+E(f5(x4971,f12(x4972,x4973),x4973),f12(f5(x4971,x4972,x4973),x4973)) % 0.56/1.17 [498]~P33(x4982)+E(f5(f12(x4981,x4982),x4983,x4982),f12(f5(x4981,x4983,x4982),x4982)) % 0.56/1.17 [499]~P34(x4992)+E(f9(f12(x4991,x4992),x4993,x4992),f12(f9(x4991,x4993,x4992),x4992)) % 0.56/1.17 [500]~P53(x5002)+E(f20(f6(x5001,x5002),x5003,x5002),f6(f20(x5001,x5003,x5002),x5002)) % 0.56/1.17 [502]~P24(x5023)+E(f5(x5021,f12(x5022,x5023),x5023),f12(f5(x5021,x5022,x5023),x5023)) % 0.56/1.17 [504]~P24(x5042)+E(f5(f12(x5041,x5042),x5043,x5042),f12(f5(x5041,x5043,x5042),x5042)) % 0.56/1.17 [505]~P35(x5052)+E(f9(f12(x5051,x5052),x5053,x5052),f12(f9(x5051,x5053,x5052),x5052)) % 0.56/1.17 [519]~P13(x5193)+E(f5(x5191,f5(x5191,x5192,x5193),x5193),f5(x5191,x5192,x5193)) % 0.56/1.17 [520]~P53(x5201)+P6(f3(x5201),f20(f6(x5202,x5201),x5203,x5201),x5201) % 0.56/1.17 [522]~P1(x5222)+E(f5(f13(x5221,x5222),f13(x5223,x5222),a1),f13(f5(x5221,x5223,x5222),x5222)) % 0.56/1.17 [523]~P9(x5232)+E(f11(f12(x5231,x5232),f12(x5233,x5232),x5232),f12(f11(x5233,x5231,x5232),x5232)) % 0.56/1.17 [524]~P8(x5242)+E(f11(f12(x5241,x5242),f12(x5243,x5242),x5242),f12(f11(x5241,x5243,x5242),x5242)) % 0.56/1.17 [525]~P53(x5252)+E(f5(f6(x5251,x5252),f6(x5253,x5252),x5252),f6(f5(x5251,x5253,x5252),x5252)) % 0.56/1.17 [526]~P8(x5262)+E(f10(f12(x5261,x5262),f12(x5263,x5262),x5262),f12(f10(x5261,x5263,x5262),x5262)) % 0.56/1.17 [534]~P36(x5343)+E(f13(f10(x5341,x5342,x5343),x5343),f13(f10(x5342,x5341,x5343),x5343)) % 0.56/1.17 [535]~P2(x5353)+E(f6(f10(x5351,x5352,x5353),x5353),f6(f10(x5352,x5351,x5353),x5353)) % 0.56/1.17 [568]~P23(x5683)+E(f5(f20(x5681,x5682,x5683),x5681,x5683),f5(x5681,f20(x5681,x5682,x5683),x5683)) % 0.56/1.17 [628]~P6(f13(x6282,a2),x6283,a1)+P6(f13(f14(x6281,x6282,a2),a2),f26(x6281,x6283),a1) % 0.56/1.17 [665]~P24(x6653)+P6(f13(f5(x6651,x6652,x6653),x6653),f5(f13(x6651,x6653),f13(x6652,x6653),a1),a1) % 0.56/1.17 [667]~P48(x6673)+P6(f6(f5(x6671,x6672,x6673),x6673),f5(f6(x6671,x6673),f6(x6672,x6673),x6673),x6673) % 0.56/1.17 [668]~P2(x6683)+P6(f6(f10(x6681,x6682,x6683),x6683),f11(f6(x6681,x6683),f6(x6682,x6683),x6683),x6683) % 0.56/1.17 [669]~P2(x6693)+P6(f6(f11(x6691,x6692,x6693),x6693),f11(f6(x6691,x6693),f6(x6692,x6693),x6693),x6693) % 0.56/1.17 [670]~P2(x6702)+P6(f10(f6(x6701,x6702),f6(x6703,x6702),x6702),f6(f10(x6701,x6703,x6702),x6702),x6702) % 0.56/1.17 [684]~P54(x6841)+P6(f3(x6841),f11(f5(x6842,x6842,x6841),f5(x6843,x6843,x6841),x6841),x6841) % 0.56/1.17 [518]~P9(x5182)+E(f11(x5181,f11(f12(x5181,x5182),x5183,x5182),x5182),x5183) % 0.56/1.17 [549]~P53(x5492)+E(f6(f20(f12(x5491,x5492),x5493,x5492),x5492),f6(f20(x5491,x5493,x5492),x5492)) % 0.56/1.17 [578]~P2(x5782)+E(f6(f11(f6(x5781,x5782),f6(x5783,x5782),x5782),x5782),f11(f6(x5781,x5782),f6(x5783,x5782),x5782)) % 0.56/1.17 [690]~P6(f13(x6903,a2),x6902,a1)+P6(f13(f14(x6901,f28(x6901,x6902),a2),a2),f13(f14(x6901,x6903,a2),a2),a1) % 0.56/1.17 [691]~P2(x6912)+P6(f6(f10(f6(x6911,x6912),f6(x6913,x6912),x6912),x6912),f6(f10(x6911,x6913,x6912),x6912),x6912) % 0.56/1.17 [558]~P39(x5584)+E(f5(x5581,f5(x5582,x5583,x5584),x5584),f5(x5582,f5(x5581,x5583,x5584),x5584)) % 0.56/1.17 [559]~P8(x5594)+E(f11(x5591,f11(x5592,x5593,x5594),x5594),f11(x5592,f11(x5591,x5593,x5594),x5594)) % 0.56/1.17 [560]~P39(x5604)+E(f11(x5601,f11(x5602,x5603,x5604),x5604),f11(x5602,f11(x5601,x5603,x5604),x5604)) % 0.56/1.17 [561]~P11(x5614)+E(f11(x5611,f11(x5612,x5613,x5614),x5614),f11(x5612,f11(x5611,x5613,x5614),x5614)) % 0.56/1.17 [566]~P39(x5663)+E(f5(f5(x5661,x5662,x5663),x5664,x5663),f5(x5661,f5(x5662,x5664,x5663),x5663)) % 0.56/1.17 [567]~P12(x5673)+E(f5(f5(x5671,x5672,x5673),x5674,x5673),f5(x5671,f5(x5672,x5674,x5673),x5673)) % 0.56/1.17 [569]~P39(x5693)+E(f11(f11(x5691,x5692,x5693),x5694,x5693),f11(x5691,f11(x5692,x5694,x5693),x5693)) % 0.56/1.17 [570]~P10(x5703)+E(f11(f11(x5701,x5702,x5703),x5704,x5703),f11(x5701,f11(x5702,x5704,x5703),x5703)) % 0.56/1.17 [571]~P11(x5713)+E(f11(f11(x5711,x5712,x5713),x5714,x5713),f11(x5711,f11(x5712,x5714,x5713),x5713)) % 0.56/1.17 [572]~P39(x5723)+E(f5(f5(x5721,x5722,x5723),x5724,x5723),f5(f5(x5721,x5724,x5723),x5722,x5723)) % 0.56/1.17 [573]~P39(x5733)+E(f11(f11(x5731,x5732,x5733),x5734,x5733),f11(f11(x5731,x5734,x5733),x5732,x5733)) % 0.56/1.17 [630]~P24(x6303)+E(f10(f5(x6301,x6302,x6303),f5(x6301,x6304,x6303),x6303),f5(x6301,f10(x6302,x6304,x6303),x6303)) % 0.56/1.17 [632]~P24(x6323)+E(f11(f5(x6321,x6322,x6323),f5(x6321,x6324,x6323),x6323),f5(x6321,f11(x6322,x6324,x6323),x6323)) % 0.56/1.17 [633]~P39(x6333)+E(f11(f5(x6331,x6332,x6333),f5(x6331,x6334,x6333),x6333),f5(x6331,f11(x6332,x6334,x6333),x6333)) % 0.56/1.17 [635]~P24(x6353)+E(f10(f5(x6351,x6352,x6353),f5(x6354,x6352,x6353),x6353),f5(f10(x6351,x6354,x6353),x6352,x6353)) % 0.56/1.17 [637]~P24(x6373)+E(f11(f5(x6371,x6372,x6373),f5(x6374,x6372,x6373),x6373),f5(f11(x6371,x6374,x6373),x6372,x6373)) % 0.56/1.17 [639]~P41(x6393)+E(f11(f5(x6391,x6392,x6393),f5(x6394,x6392,x6393),x6393),f5(f11(x6391,x6394,x6393),x6392,x6393)) % 0.56/1.17 [640]~P34(x6403)+E(f10(f9(x6401,x6402,x6403),f9(x6404,x6402,x6403),x6403),f9(f10(x6401,x6404,x6403),x6402,x6403)) % 0.56/1.17 [641]~P35(x6413)+E(f10(f9(x6411,x6412,x6413),f9(x6414,x6412,x6413),x6413),f9(f10(x6411,x6414,x6413),x6412,x6413)) % 0.56/1.17 [642]~P34(x6423)+E(f11(f9(x6421,x6422,x6423),f9(x6424,x6422,x6423),x6423),f9(f11(x6421,x6424,x6423),x6422,x6423)) % 0.56/1.17 [643]~P35(x6433)+E(f11(f9(x6431,x6432,x6433),f9(x6434,x6432,x6433),x6433),f9(f11(x6431,x6434,x6433),x6432,x6433)) % 0.56/1.17 [644]~P39(x6443)+E(f5(f20(x6441,x6442,x6443),f20(x6444,x6442,x6443),x6443),f20(f5(x6441,x6444,x6443),x6442,x6443)) % 0.56/1.17 [645]~P17(x6453)+E(f5(f20(x6451,x6452,x6453),f20(x6454,x6452,x6453),x6453),f20(f5(x6451,x6454,x6453),x6452,x6453)) % 0.56/1.17 [646]~P40(x6463)+E(f19(f18(x6461,x6462,x6463),x6464,x6463),f18(f14(x6462,x6464,x6463),f19(x6462,x6464,x6463),x6463)) % 0.56/1.17 [647]~P39(x6473)+E(f11(f5(x6471,x6472,x6473),f5(x6474,x6472,x6473),x6473),f5(f11(x6471,x6474,x6473),x6472,x6473)) % 0.56/1.17 [672]~P40(x6724)+E(f11(x6721,f5(x6722,f14(x6723,x6722,x6724),x6724),x6724),f14(f18(x6721,x6723,x6724),x6722,x6724)) % 0.56/1.17 [673]~P39(x6733)+E(f5(f5(x6731,x6732,x6733),f5(x6734,x6735,x6733),x6733),f5(f5(x6731,x6734,x6733),f5(x6732,x6735,x6733),x6733)) % 0.56/1.17 [674]~P8(x6743)+E(f11(f10(x6741,x6742,x6743),f10(x6744,x6745,x6743),x6743),f10(f11(x6741,x6744,x6743),f11(x6742,x6745,x6743),x6743)) % 0.56/1.17 [675]~P39(x6753)+E(f11(f11(x6751,x6752,x6753),f11(x6754,x6755,x6753),x6753),f11(f11(x6751,x6754,x6753),f11(x6752,x6755,x6753),x6753)) % 0.56/1.17 [696]~P60(x6963)+E(f11(f5(x6961,x6962,x6963),f11(f5(x6964,x6962,x6963),x6965,x6963),x6963),f11(f5(f11(x6961,x6964,x6963),x6962,x6963),x6965,x6963)) % 0.56/1.17 [715]~P2(x7153)+P6(f6(f10(f11(x7151,x7152,x7153),f11(x7154,x7155,x7153),x7153),x7153),f11(f6(f10(x7151,x7154,x7153),x7153),f6(f10(x7152,x7155,x7153),x7153),x7153),x7153) % 0.56/1.17 [716]~P24(x7163)+E(f11(f11(f5(f10(x7161,x7162,x7163),f10(x7164,x7165,x7163),x7163),f5(f10(x7161,x7162,x7163),x7165,x7163),x7163),f5(x7162,f10(x7164,x7165,x7163),x7163),x7163),f10(f5(x7161,x7164,x7163),f5(x7162,x7165,x7163),x7163)) % 0.56/1.17 [706]~P33(x7063)+E(f11(f5(x7061,x7062,x7063),f11(f5(f10(x7064,x7061,x7063),x7062,x7063),x7065,x7063),x7063),f11(f5(x7064,x7062,x7063),x7065,x7063)) % 0.56/1.17 [714]~P25(x7144)+E(f11(f5(x7141,f9(f10(x7142,x7143,x7144),x7145,x7144),x7144),f5(f9(f10(x7141,x7146,x7144),x7145,x7144),x7143,x7144),x7144),f9(f10(f5(x7141,x7142,x7144),f5(x7146,x7143,x7144),x7144),x7145,x7144)) % 0.56/1.17 [473]~P29(x4731)+~P6(f3(x4731),f3(x4731),x4731)+E(f11(f3(x4731),f3(x4731),x4731),f3(x4731)) % 0.56/1.17 [450]E(x4501,x4502)+~P6(x4502,x4501,a1)+~P6(x4501,x4502,a1) % 0.56/1.17 [315]~P21(x3152)+~E(f12(x3151,x3152),x3151)+E(x3151,f3(x3152)) % 0.56/1.17 [317]~P36(x3172)+E(x3171,f3(x3172))+~E(f13(x3171,x3172),f3(a1)) % 0.56/1.17 [318]~P9(x3182)+~E(f12(x3181,x3182),f3(x3182))+E(x3181,f3(x3182)) % 0.56/1.17 [319]~P2(x3192)+~E(f6(x3191,x3192),f3(x3192))+E(x3191,f3(x3192)) % 0.56/1.17 [320]~P37(x3202)+~E(f8(x3201,x3202),f3(x3202))+E(x3201,f3(x3202)) % 0.56/1.17 [321]~P9(x3211)+~E(f12(x3212,x3211),f3(x3211))+E(f3(x3211),x3212) % 0.56/1.17 [367]~P4(x3672)+~P44(x3672)+E(f10(x3671,x3671,x3672),f3(x3672)) % 0.56/1.17 [387]~P20(x3872)+P6(x3871,f3(x3872),x3872)+~E(f16(x3871,x3872),x3871) % 0.56/1.17 [388]~P20(x3881)+P6(f3(x3881),x3882,x3881)+~E(f15(x3882,x3881),x3882) % 0.56/1.17 [399]~P20(x3992)+P6(x3991,f3(x3992),x3992)+~E(f15(x3991,x3992),f3(x3992)) % 0.56/1.17 [400]~P20(x4001)+P6(f3(x4001),x4002,x4001)+~E(f16(x4002,x4001),f3(x4001)) % 0.56/1.17 [404]~P20(x4042)+~E(f11(x4041,x4041,x4042),f3(x4042))+E(x4041,f3(x4042)) % 0.56/1.17 [424]~P20(x4242)+~P6(x4241,f3(x4242),x4242)+E(f16(x4241,x4242),x4241) % 0.56/1.17 [425]~P2(x4252)+~P6(f3(x4252),x4251,x4252)+E(f6(x4251,x4252),x4251) % 0.56/1.17 [426]~P20(x4262)+~P6(f3(x4262),x4261,x4262)+E(f15(x4261,x4262),x4261) % 0.56/1.17 [428]~P20(x4282)+~P6(x4281,f3(x4282),x4282)+E(f15(x4281,x4282),f3(x4282)) % 0.56/1.17 [429]~P20(x4292)+~P6(f3(x4292),x4291,x4292)+E(f16(x4291,x4292),f3(x4292)) % 0.56/1.17 [432]~P2(x4322)+~P6(x4321,f3(x4322),x4322)+E(f6(x4321,x4322),f12(x4321,x4322)) % 0.56/1.17 [434]~P36(x4342)+E(x4341,f3(x4342))+~P6(f13(x4341,x4342),f3(a1),a1) % 0.56/1.17 [442]~P2(x4422)+~P6(f6(x4421,x4422),f3(x4422),x4422)+E(x4421,f3(x4422)) % 0.56/1.17 [474]~P21(x4742)+~P6(x4741,f3(x4742),x4742)+P6(x4741,f12(x4741,x4742),x4742) % 0.56/1.17 [475]~P20(x4752)+~P6(x4751,f3(x4752),x4752)+P6(x4751,f12(x4751,x4752),x4752) % 0.56/1.17 [476]~P21(x4762)+~P6(f3(x4762),x4761,x4762)+P6(f12(x4761,x4762),x4761,x4762) % 0.56/1.17 [477]~P20(x4772)+~P6(f3(x4772),x4771,x4772)+P6(f12(x4771,x4772),x4771,x4772) % 0.56/1.17 [481]~P18(x4811)+~P6(x4812,f3(x4811),x4811)+P6(f3(x4811),f12(x4812,x4811),x4811) % 0.56/1.17 [482]~P18(x4822)+~P6(f3(x4822),x4821,x4822)+P6(f12(x4821,x4822),f3(x4822),x4822) % 0.56/1.17 [485]~P21(x4852)+~P6(x4851,f12(x4851,x4852),x4852)+P6(x4851,f3(x4852),x4852) % 0.56/1.17 [486]~P20(x4862)+~P6(x4861,f12(x4861,x4862),x4862)+P6(x4861,f3(x4862),x4862) % 0.56/1.17 [487]~P21(x4871)+~P6(f12(x4872,x4871),x4872,x4871)+P6(f3(x4871),x4872,x4871) % 0.56/1.17 [488]~P20(x4881)+~P6(f12(x4882,x4881),x4882,x4881)+P6(f3(x4881),x4882,x4881) % 0.56/1.17 [495]~P18(x4952)+~P6(f3(x4952),f12(x4951,x4952),x4952)+P6(x4951,f3(x4952),x4952) % 0.56/1.17 [496]~P18(x4961)+~P6(f12(x4962,x4961),f3(x4961),x4961)+P6(f3(x4961),x4962,x4961) % 0.56/1.17 [539]~P20(x5391)+~P6(f3(x5391),x5392,x5391)+P6(f3(x5391),f11(x5392,x5392,x5391),x5391) % 0.56/1.17 [542]~P20(x5422)+~P6(x5421,f3(x5422),x5422)+P6(f11(x5421,x5421,x5422),f3(x5422),x5422) % 0.56/1.17 [574]~P20(x5742)+~P6(f11(x5741,x5741,x5742),f3(x5742),x5742)+P6(x5741,f3(x5742),x5742) % 0.56/1.17 [575]~P20(x5751)+~P6(f3(x5751),f11(x5752,x5752,x5751),x5751)+P6(f3(x5751),x5752,x5751) % 0.56/1.17 [328]~P37(x3282)+E(x3281,f3(x3282))+E(f8(f8(x3281,x3282),x3282),x3281) % 0.56/1.17 [332]~P37(x3322)+~P38(x3322)+E(f8(f8(x3321,x3322),x3322),x3321) % 0.56/1.17 [368]~P4(x3682)+~P44(x3682)+E(f11(x3681,f3(x3682),x3682),x3681) % 0.56/1.17 [372]~P34(x3722)+~P38(x3722)+E(f9(x3721,f3(x3722),x3722),f3(x3722)) % 0.56/1.17 [389]~P37(x3892)+E(x3891,f3(x3892))+E(f8(f12(x3891,x3892),x3892),f12(f8(x3891,x3892),x3892)) % 0.56/1.17 [390]~P47(x3902)+E(x3901,f3(x3902))+E(f8(f6(x3901,x3902),x3902),f6(f8(x3901,x3902),x3902)) % 0.56/1.17 [396]~P37(x3962)+~P38(x3962)+E(f8(f12(x3961,x3962),x3962),f12(f8(x3961,x3962),x3962)) % 0.56/1.17 [397]~P38(x3972)+~P47(x3972)+E(f8(f6(x3971,x3972),x3972),f6(f8(x3971,x3972),x3972)) % 0.56/1.17 [484]~P34(x4841)+~P38(x4841)+E(f9(f5(f3(x4841),x4842,x4841),x4842,x4841),f3(x4841)) % 0.56/1.17 [423]P6(x4232,x4231,x4233)+~P30(x4233)+P6(x4231,x4232,x4233) % 0.56/1.17 [517]~P6(x5171,x5173,a1)+P6(x5171,x5172,a1)+~P6(x5173,x5172,a1) % 0.56/1.17 [329]~P9(x3293)+E(x3291,x3292)+~E(f12(x3291,x3293),f12(x3292,x3293)) % 0.56/1.17 [330]~P7(x3303)+E(x3301,x3302)+~E(f12(x3301,x3303),f12(x3302,x3303)) % 0.56/1.17 [331]~P3(x3313)+E(x3311,x3312)+~E(f17(x3311,x3313),f17(x3312,x3313)) % 0.56/1.17 [402]~P8(x4023)+E(x4021,x4022)+~E(f10(x4021,x4022,x4023),f3(x4023)) % 0.56/1.17 [403]~P9(x4033)+E(x4031,x4032)+~E(f10(x4031,x4032,x4033),f3(x4033)) % 0.56/1.17 [405]~P59(x4052)+~E(f20(x4051,x4053,x4052),f3(x4052))+E(x4051,f3(x4052)) % 0.56/1.17 [416]~P9(x4163)+~E(f11(x4161,x4162,x4163),f3(x4163))+E(x4161,f12(x4162,x4163)) % 0.56/1.17 [417]~P9(x4172)+~E(f11(x4171,x4173,x4172),f3(x4172))+E(f12(x4171,x4172),x4173) % 0.56/1.17 [451]E(x4511,x4512)+~E(f5(x4513,x4511,a1),f5(x4513,x4512,a1))+E(x4513,f3(a1)) % 0.56/1.17 [452]E(x4521,x4522)+~E(f5(x4521,x4523,a1),f5(x4522,x4523,a1))+E(x4523,f3(a1)) % 0.56/1.17 [479]~P2(x4793)+P6(x4791,x4792,x4793)+~P6(f6(x4791,x4793),x4792,x4793) % 0.56/1.17 [494]~P18(x4942)+~P6(x4943,x4941,x4942)+P6(f12(x4941,x4942),f12(x4943,x4942),x4942) % 0.56/1.17 [511]~P18(x5113)+~P6(x5112,f12(x5111,x5113),x5113)+P6(x5111,f12(x5112,x5113),x5113) % 0.56/1.17 [512]~P2(x5122)+~P6(f6(x5121,x5122),x5123,x5122)+P6(f12(x5121,x5122),x5123,x5122) % 0.56/1.17 [514]~P18(x5142)+~P6(f12(x5143,x5142),x5141,x5142)+P6(f12(x5141,x5142),x5143,x5142) % 0.56/1.17 [521]~P18(x5213)+P6(x5211,x5212,x5213)+~P6(f12(x5212,x5213),f12(x5211,x5213),x5213) % 0.56/1.17 [536]~P18(x5363)+~P6(x5361,x5362,x5363)+P6(f10(x5361,x5362,x5363),f3(x5363),x5363) % 0.56/1.17 [540]~P46(x5401)+~P6(f3(x5401),x5402,x5401)+P6(f3(x5401),f20(x5402,x5403,x5401),x5401) % 0.56/1.17 [541]~P53(x5411)+~P6(f3(x5411),x5412,x5411)+P6(f3(x5411),f20(x5412,x5413,x5411),x5411) % 0.56/1.17 [552]~P20(x5523)+~P6(x5521,f12(x5522,x5523),x5523)+P6(f11(x5521,x5522,x5523),f3(x5523),x5523) % 0.56/1.17 [556]~P18(x5563)+P6(x5561,x5562,x5563)+~P6(f10(x5561,x5562,x5563),f3(x5563),x5563) % 0.56/1.17 [581]~P20(x5813)+~P6(f11(x5811,x5812,x5813),f3(x5813),x5813)+P6(x5811,f12(x5812,x5813),x5813) % 0.56/1.17 [414]~P5(x4142)+E(x4141,f3(x4142))+~E(f18(x4141,x4143,x4142),f3(f21(x4142))) % 0.56/1.17 [427]~P5(x4272)+~E(f18(x4273,x4271,x4272),f3(f21(x4272)))+E(x4271,f3(f21(x4272))) % 0.56/1.17 [453]~P34(x4532)+E(x4531,f3(x4532))+E(f9(f12(x4533,x4532),f12(x4531,x4532),x4532),f9(x4533,x4531,x4532)) % 0.56/1.17 [456]~P34(x4562)+E(x4561,f3(x4562))+E(f9(f5(x4563,x4561,x4562),x4561,x4562),x4563) % 0.56/1.17 [457]~P34(x4572)+~P38(x4572)+E(f9(f12(x4571,x4572),f12(x4573,x4572),x4572),f9(x4571,x4573,x4572)) % 0.56/1.17 [480]~P34(x4803)+~P38(x4803)+E(f8(f9(x4801,x4802,x4803),x4803),f9(x4802,x4801,x4803)) % 0.56/1.17 [508]~P34(x5082)+E(x5081,f3(x5082))+E(f9(x5083,f12(x5081,x5082),x5082),f12(f9(x5083,x5081,x5082),x5082)) % 0.56/1.17 [509]~P37(x5092)+E(x5091,f3(x5092))+E(f20(f8(x5091,x5092),x5093,x5092),f8(f20(x5091,x5093,x5092),x5092)) % 0.56/1.17 [515]~P34(x5153)+~P38(x5153)+E(f9(x5151,f12(x5152,x5153),x5153),f12(f9(x5151,x5152,x5153),x5153)) % 0.56/1.17 [516]~P37(x5162)+~P38(x5162)+E(f20(f8(x5161,x5162),x5163,x5162),f8(f20(x5161,x5163,x5162),x5162)) % 0.56/1.17 [530]~P47(x5302)+E(x5301,f3(x5302))+E(f9(f6(x5303,x5302),f6(x5301,x5302),x5302),f6(f9(x5303,x5301,x5302),x5302)) % 0.56/1.17 [531]~P38(x5312)+~P47(x5312)+E(f9(f6(x5311,x5312),f6(x5313,x5312),x5312),f6(f9(x5311,x5313,x5312),x5312)) % 0.56/1.17 [532]~P34(x5322)+~P38(x5322)+E(f5(f8(x5321,x5322),f8(x5323,x5322),x5322),f8(f5(x5321,x5323,x5322),x5322)) % 0.56/1.17 [553]~P53(x5532)+~P6(f3(x5532),x5533,x5532)+E(f5(f6(x5531,x5532),x5533,x5532),f6(f5(x5531,x5533,x5532),x5532)) % 0.56/1.17 [648]~P54(x6482)+E(x6481,f3(x6482))+~E(f11(f5(x6483,x6483,x6482),f5(x6481,x6481,x6482),x6482),f3(x6482)) % 0.56/1.17 [649]~P54(x6492)+E(x6491,f3(x6492))+~E(f11(f5(x6491,x6491,x6492),f5(x6493,x6493,x6492),x6492),f3(x6492)) % 0.56/1.17 [699]~P54(x6992)+E(x6991,f3(x6992))+~P6(f11(f5(x6993,x6993,x6992),f5(x6991,x6991,x6992),x6992),f3(x6992),x6992) % 0.56/1.17 [700]~P54(x7002)+E(x7001,f3(x7002))+~P6(f11(f5(x7001,x7001,x7002),f5(x7003,x7003,x7002),x7002),f3(x7002),x7002) % 0.56/1.17 [459]~P8(x4594)+E(x4591,x4592)+~E(f10(x4593,x4593,x4594),f10(x4591,x4592,x4594)) % 0.56/1.17 [460]~P14(x4604)+E(x4601,x4602)+~E(f11(x4603,x4601,x4604),f11(x4603,x4602,x4604)) % 0.56/1.17 [461]~P15(x4614)+E(x4611,x4612)+~E(f11(x4613,x4611,x4614),f11(x4613,x4612,x4614)) % 0.56/1.17 [462]~P15(x4624)+E(x4621,x4622)+~E(f11(x4621,x4623,x4624),f11(x4622,x4623,x4624)) % 0.56/1.17 [464]~P8(x4643)+E(x4641,x4642)+~E(f10(x4641,x4642,x4643),f10(x4644,x4644,x4643)) % 0.56/1.17 [584]~P27(x5843)+~P6(x5841,x5844,x5843)+P6(f11(x5841,x5842,x5843),f11(x5844,x5842,x5843),x5843) % 0.56/1.17 [585]~P28(x5853)+~P6(x5851,x5854,x5853)+P6(f11(x5851,x5852,x5853),f11(x5854,x5852,x5853),x5853) % 0.56/1.17 [586]~P27(x5863)+~P6(x5862,x5864,x5863)+P6(f11(x5861,x5862,x5863),f11(x5861,x5864,x5863),x5863) % 0.56/1.17 [587]~P28(x5873)+~P6(x5872,x5874,x5873)+P6(f11(x5871,x5872,x5873),f11(x5871,x5874,x5873),x5873) % 0.56/1.17 [663]~P28(x6633)+P6(x6631,x6632,x6633)+~P6(f11(x6634,x6631,x6633),f11(x6634,x6632,x6633),x6633) % 0.56/1.17 [664]~P28(x6643)+P6(x6641,x6642,x6643)+~P6(f11(x6641,x6644,x6643),f11(x6642,x6644,x6643),x6643) % 0.56/1.17 [543]~P8(x5433)+E(x5431,f12(x5432,x5433))+~E(f11(x5431,f11(x5434,x5432,x5433),x5433),x5434) % 0.56/1.17 [576]~P34(x5763)+~P38(x5763)+E(f9(f5(x5761,x5762,x5763),x5764,x5763),f5(f9(x5761,x5764,x5763),x5762,x5763)) % 0.56/1.17 [650]~P34(x6502)+E(x6501,f3(x6502))+E(f9(f20(x6503,x6504,x6502),f20(x6501,x6504,x6502),x6502),f20(f9(x6503,x6501,x6502),x6504,x6502)) % 0.56/1.17 [651]~P34(x6513)+~P38(x6513)+E(f9(f20(x6511,x6512,x6513),f20(x6514,x6512,x6513),x6513),f20(f9(x6511,x6514,x6513),x6512,x6513)) % 0.56/1.17 [662]~P19(x6624)+~P6(f11(x6621,x6623,x6624),x6622,x6624)+P6(x6621,f11(x6622,f6(x6623,x6624),x6624),x6624) % 0.56/1.17 [677]~P4(x6773)+~P44(x6773)+E(f11(f5(x6771,x6772,x6773),f5(x6771,x6774,x6773),x6773),f11(f5(x6771,x6774,x6773),f5(x6771,x6772,x6773),x6773)) % 0.56/1.17 [703]~P6(f29(x7033,x7032,x7031),f13(x7034,a2),a1)+E(x7031,f3(f21(a2)))+P6(x7032,f13(f14(f18(x7033,x7031,a2),x7034,a2),a2),a1) % 0.56/1.17 [458]~P5(x4584)+E(x4581,x4582)+~E(f18(x4583,x4581,x4584),f18(x4585,x4582,x4584)) % 0.56/1.17 [463]~P5(x4634)+E(x4631,x4632)+~E(f18(x4631,x4633,x4634),f18(x4632,x4635,x4634)) % 0.56/1.17 [623]~P8(x6233)+E(f11(x6231,x6232,x6233),x6234)+~E(f11(x6231,f11(x6235,x6232,x6233),x6233),f11(x6235,x6234,x6233)) % 0.56/1.17 [678]~P34(x6783)+~P38(x6783)+E(f9(f5(x6781,x6782,x6783),f5(x6784,x6785,x6783),x6783),f5(f9(x6781,x6784,x6783),f9(x6782,x6785,x6783),x6783)) % 0.56/1.17 [697]~P33(x6974)+~E(f11(f5(x6973,x6975,x6974),x6971,x6974),f11(f5(x6972,x6975,x6974),x6976,x6974))+E(x6971,f11(f5(f10(x6972,x6973,x6974),x6975,x6974),x6976,x6974)) % 0.56/1.17 [698]~P33(x6983)+~E(f11(f5(x6981,x6984,x6983),x6985,x6983),f11(f5(x6982,x6984,x6983),x6986,x6983))+E(f11(f5(f10(x6981,x6982,x6983),x6984,x6983),x6985,x6983),x6986) % 0.56/1.17 [708]~P45(x7084)+~P6(f11(f5(x7083,x7085,x7084),x7081,x7084),f11(f5(x7082,x7085,x7084),x7086,x7084),x7084)+P6(x7081,f11(f5(f10(x7082,x7083,x7084),x7085,x7084),x7086,x7084),x7084) % 0.56/1.17 [709]~P45(x7093)+~P6(f11(f5(x7091,x7094,x7093),x7095,x7093),f11(f5(x7092,x7094,x7093),x7096,x7093),x7093)+P6(f11(f5(f10(x7091,x7092,x7093),x7094,x7093),x7095,x7093),x7096,x7093) % 0.56/1.17 [710]~P45(x7103)+P6(f11(f5(x7101,x7102,x7103),x7104,x7103),f11(f5(x7105,x7102,x7103),x7106,x7103),x7103)+~P6(x7104,f11(f5(f10(x7105,x7101,x7103),x7102,x7103),x7106,x7103),x7103) % 0.56/1.17 [711]~P45(x7113)+P6(f11(f5(x7111,x7112,x7113),x7114,x7113),f11(f5(x7115,x7112,x7113),x7116,x7113),x7113)+~P6(f11(f5(f10(x7111,x7115,x7113),x7112,x7113),x7114,x7113),x7116,x7113) % 0.56/1.17 [492]~P38(x4921)+~P47(x4921)+~P6(f3(x4921),x4922,x4921)+P6(f3(x4921),f8(x4922,x4921),x4921) % 0.56/1.17 [493]~P38(x4932)+~P47(x4932)+~P6(x4931,f3(x4932),x4932)+P6(f8(x4931,x4932),f3(x4932),x4932) % 0.56/1.17 [506]~P38(x5062)+~P47(x5062)+~P6(f8(x5061,x5062),f3(x5062),x5062)+P6(x5061,f3(x5062),x5062) % 0.56/1.17 [507]~P38(x5071)+~P47(x5071)+~P6(f3(x5071),f8(x5072,x5071),x5071)+P6(f3(x5071),x5072,x5071) % 0.56/1.17 [467]~P6(x4672,x4671,x4673)+~P6(x4671,x4672,x4673)+E(x4671,x4672)+~P31(x4673) % 0.56/1.17 [333]~P37(x3333)+~P38(x3333)+E(x3331,x3332)+~E(f8(x3331,x3333),f8(x3332,x3333)) % 0.56/1.17 [408]~P4(x4082)+~P44(x4082)+~E(f11(x4083,x4081,x4082),x4083)+E(x4081,f3(x4082)) % 0.56/1.17 [409]~P4(x4093)+~P44(x4093)+E(x4091,x4092)+~E(f10(x4091,x4092,x4093),f3(x4093)) % 0.56/1.17 [410]~P58(x4102)+~E(f5(x4103,x4101,x4102),f3(x4102))+E(x4101,f3(x4102))+E(x4103,f3(x4102)) % 0.56/1.17 [412]~P52(x4122)+~E(f5(x4123,x4121,x4122),f3(x4122))+E(x4121,f3(x4122))+E(x4123,f3(x4122)) % 0.56/1.17 [491]~P44(x4913)+E(x4911,x4912)+~E(f5(x4911,x4911,x4913),f5(x4912,x4912,x4913))+E(x4911,f12(x4912,x4913)) % 0.56/1.17 [551]~P2(x5512)+~P6(x5511,x5513,x5512)+~P6(f12(x5511,x5512),x5513,x5512)+P6(f6(x5511,x5512),x5513,x5512) % 0.56/1.17 [577]~P53(x5772)+~P6(f20(x5771,x5773,x5772),f3(x5772),x5772)+P6(x5771,f3(x5772),x5772)+E(x5771,f3(x5772)) % 0.56/1.17 [589]~P45(x5891)+~P6(x5893,f3(x5891),x5891)+~P6(x5892,f3(x5891),x5891)+P6(f3(x5891),f5(x5892,x5893,x5891),x5891) % 0.56/1.17 [590]~P54(x5901)+~P6(x5903,f3(x5901),x5901)+~P6(x5902,f3(x5901),x5901)+P6(f3(x5901),f5(x5902,x5903,x5901),x5901) % 0.56/1.17 [591]~P45(x5911)+~P6(f3(x5911),x5913,x5911)+~P6(f3(x5911),x5912,x5911)+P6(f3(x5911),f5(x5912,x5913,x5911),x5911) % 0.56/1.17 [592]~P54(x5921)+~P6(f3(x5921),x5923,x5921)+~P6(f3(x5921),x5922,x5921)+P6(f3(x5921),f5(x5922,x5923,x5921),x5921) % 0.56/1.17 [593]~P55(x5931)+~P6(f3(x5931),x5933,x5931)+~P6(f3(x5931),x5932,x5931)+P6(f3(x5931),f5(x5932,x5933,x5931),x5931) % 0.56/1.17 [594]~P29(x5941)+~P6(f3(x5941),x5943,x5941)+~P6(f3(x5941),x5942,x5941)+P6(f3(x5941),f11(x5942,x5943,x5941),x5941) % 0.56/1.17 [595]~P29(x5953)+~P6(x5952,f3(x5953),x5953)+~P6(x5951,f3(x5953),x5953)+P6(f11(x5951,x5952,x5953),f3(x5953),x5953) % 0.56/1.17 [596]~P54(x5963)+~P6(x5962,f3(x5963),x5963)+~P6(f3(x5963),x5961,x5963)+P6(f5(x5961,x5962,x5963),f3(x5963),x5963) % 0.56/1.17 [597]~P54(x5973)+~P6(x5971,f3(x5973),x5973)+~P6(f3(x5973),x5972,x5973)+P6(f5(x5971,x5972,x5973),f3(x5973),x5973) % 0.56/1.17 [599]~P55(x5993)+~P6(x5992,f3(x5993),x5993)+~P6(f3(x5993),x5991,x5993)+P6(f5(x5991,x5992,x5993),f3(x5993),x5993) % 0.56/1.17 [602]~P55(x6023)+~P6(x6021,f3(x6023),x6023)+~P6(f3(x6023),x6022,x6023)+P6(f5(x6021,x6022,x6023),f3(x6023),x6023) % 0.56/1.17 [607]~P54(x6072)+~P6(f5(x6073,x6071,x6072),f3(x6072),x6072)+P6(x6071,f3(x6072),x6072)+P6(x6073,f3(x6072),x6072) % 0.56/1.17 [608]~P54(x6082)+~P6(f3(x6082),f5(x6083,x6081,x6082),x6082)+P6(x6081,f3(x6082),x6082)+P6(f3(x6082),x6083,x6082) % 0.56/1.17 [609]~P54(x6092)+~P6(f3(x6092),f5(x6091,x6093,x6092),x6092)+P6(x6091,f3(x6092),x6092)+P6(f3(x6092),x6093,x6092) % 0.56/1.17 [610]~P54(x6102)+~P6(f3(x6102),f5(x6103,x6101,x6102),x6102)+P6(x6101,f3(x6102),x6102)+P6(f3(x6102),x6101,x6102) % 0.56/1.17 [611]~P54(x6112)+~P6(f3(x6112),f5(x6111,x6113,x6112),x6112)+P6(x6111,f3(x6112),x6112)+P6(f3(x6112),x6111,x6112) % 0.56/1.17 [612]~P54(x6122)+~P6(f5(x6123,x6121,x6122),f3(x6122),x6122)+P6(x6121,f3(x6122),x6122)+P6(f3(x6122),x6121,x6122) % 0.56/1.17 [613]~P54(x6132)+~P6(f5(x6131,x6133,x6132),f3(x6132),x6132)+P6(x6131,f3(x6132),x6132)+P6(f3(x6132),x6131,x6132) % 0.56/1.17 [614]~P54(x6141)+~P6(f5(x6142,x6143,x6141),f3(x6141),x6141)+P6(f3(x6141),x6142,x6141)+P6(f3(x6141),x6143,x6141) % 0.56/1.17 [470]~P34(x4702)+~P38(x4702)+E(x4701,f3(x4702))+E(f5(f9(x4703,x4701,x4702),x4701,x4702),x4703) % 0.56/1.17 [533]~P37(x5332)+E(x5331,f3(x5332))+E(x5333,f3(x5332))+E(f5(f8(x5331,x5332),f8(x5333,x5332),x5332),f8(f5(x5333,x5331,x5332),x5332)) % 0.56/1.17 [624]~P56(x6242)+~P6(x6243,f3(x6242),x6242)+~P6(x6241,f3(x6242),x6242)+E(f5(f6(x6241,x6242),f6(x6243,x6242),x6242),f6(f5(x6241,x6243,x6242),x6242)) % 0.56/1.17 [625]~P56(x6252)+~P6(x6253,f3(x6252),x6252)+~P6(f3(x6252),x6251,x6252)+E(f5(f6(x6251,x6252),f6(x6253,x6252),x6252),f6(f5(x6251,x6253,x6252),x6252)) % 0.56/1.17 [626]~P56(x6262)+~P6(x6261,f3(x6262),x6262)+~P6(f3(x6262),x6263,x6262)+E(f5(f6(x6261,x6262),f6(x6263,x6262),x6262),f6(f5(x6261,x6263,x6262),x6262)) % 0.56/1.17 [627]~P56(x6272)+~P6(f3(x6272),x6273,x6272)+~P6(f3(x6272),x6271,x6272)+E(f5(f6(x6271,x6272),f6(x6273,x6272),x6272),f6(f5(x6271,x6273,x6272),x6272)) % 0.56/1.17 [681]~P37(x6812)+E(x6811,f3(x6812))+E(x6813,f3(x6812))+E(f5(f5(f8(x6813,x6812),f10(x6811,x6813,x6812),x6812),f8(x6811,x6812),x6812),f10(f8(x6813,x6812),f8(x6811,x6812),x6812)) % 0.56/1.17 [682]~P37(x6822)+E(x6821,f3(x6822))+E(x6823,f3(x6822))+E(f5(f5(f8(x6823,x6822),f11(x6823,x6821,x6822),x6822),f8(x6821,x6822),x6822),f11(f8(x6823,x6822),f8(x6821,x6822),x6822)) % 0.56/1.17 [683]~P34(x6832)+E(x6831,f3(x6832))+E(x6833,f3(x6832))+E(f5(f5(f11(x6833,x6831,x6832),f8(x6833,x6832),x6832),f8(x6831,x6832),x6832),f11(f8(x6833,x6832),f8(x6831,x6832),x6832)) % 0.56/1.17 [704]~P37(x7042)+E(x7041,f3(x7042))+E(x7043,f3(x7042))+E(f12(f5(f5(f8(x7043,x7042),f10(x7043,x7041,x7042),x7042),f8(x7041,x7042),x7042),x7042),f10(f8(x7043,x7042),f8(x7041,x7042),x7042)) % 0.56/1.17 [527]~P31(x5273)+~P6(x5271,x5274,x5273)+P6(x5271,x5272,x5273)+~P6(x5274,x5272,x5273) % 0.56/1.17 [528]~P32(x5283)+~P6(x5281,x5284,x5283)+P6(x5281,x5282,x5283)+~P6(x5284,x5282,x5283) % 0.56/1.17 [478]~P4(x4784)+~P44(x4784)+E(x4781,x4782)+~E(f11(x4783,x4781,x4784),f11(x4783,x4782,x4784)) % 0.56/1.17 [653]~P45(x6533)+~P6(x6534,x6531,x6533)+~P6(x6532,f3(x6533),x6533)+P6(f5(x6531,x6532,x6533),f5(x6534,x6532,x6533),x6533) % 0.56/1.17 [654]~P45(x6543)+~P6(x6544,x6542,x6543)+~P6(x6541,f3(x6543),x6543)+P6(f5(x6541,x6542,x6543),f5(x6541,x6544,x6543),x6543) % 0.56/1.17 [655]~P50(x6553)+~P6(x6551,x6554,x6553)+~P6(f3(x6553),x6552,x6553)+P6(f5(x6551,x6552,x6553),f5(x6554,x6552,x6553),x6553) % 0.56/1.17 [656]~P50(x6563)+~P6(x6562,x6564,x6563)+~P6(f3(x6563),x6561,x6563)+P6(f5(x6561,x6562,x6563),f5(x6561,x6564,x6563),x6563) % 0.56/1.17 [657]~P51(x6573)+~P6(x6572,x6574,x6573)+~P6(f3(x6573),x6571,x6573)+P6(f5(x6571,x6572,x6573),f5(x6571,x6574,x6573),x6573) % 0.56/1.17 [658]~P46(x6583)+~P6(x6581,x6584,x6583)+~P6(f3(x6583),x6581,x6583)+P6(f20(x6581,x6582,x6583),f20(x6584,x6582,x6583),x6583) % 0.56/1.17 [579]~P34(x5792)+~P38(x5792)+E(x5791,f3(x5792))+E(f9(f5(x5793,x5791,x5792),f5(x5794,x5791,x5792),x5792),f9(x5793,x5794,x5792)) % 0.56/1.17 [580]~P34(x5802)+~P38(x5802)+E(x5801,f3(x5802))+E(f9(f5(x5801,x5803,x5802),f5(x5801,x5804,x5802),x5802),f9(x5803,x5804,x5802)) % 0.56/1.17 [661]~P36(x6612)+E(x6611,f3(x6612))+~P6(x6613,f3(a1),a1)+~P6(f13(x6611,x6612),f5(x6613,f13(x6614,x6612),a1),a1) % 0.56/1.17 [679]~P34(x6792)+~P38(x6792)+E(x6791,f3(x6792))+E(f9(f11(x6793,f5(x6794,x6791,x6792),x6792),x6791,x6792),f11(x6794,f9(x6793,x6791,x6792),x6792)) % 0.56/1.17 [680]~P34(x6802)+~P38(x6802)+E(x6801,f3(x6802))+E(f9(f11(x6803,f5(x6804,x6801,x6802),x6802),x6801,x6802),f11(f9(x6803,x6801,x6802),x6804,x6802)) % 0.56/1.17 [712]~P35(x7122)+E(x7121,f3(x7122))+E(x7123,f3(x7122))+E(f12(f5(f5(f8(x7123,x7122),f9(f10(x7123,x7121,x7122),x7124,x7122),x7122),f8(x7121,x7122),x7122),x7122),f9(f10(f8(x7123,x7122),f8(x7121,x7122),x7122),x7124,x7122)) % 0.56/1.17 [554]~P18(x5543)+~P6(x5545,x5544,x5543)+P6(x5541,x5542,x5543)+~E(f10(x5544,x5545,x5543),f10(x5542,x5541,x5543)) % 0.56/1.17 [555]~P18(x5553)+~P6(x5555,x5554,x5553)+P6(x5551,x5552,x5553)+~E(f10(x5552,x5551,x5553),f10(x5554,x5555,x5553)) % 0.56/1.17 [652]~P27(x6523)+~P6(x6522,x6525,x6523)+~P6(x6521,x6524,x6523)+P6(f11(x6521,x6522,x6523),f11(x6524,x6525,x6523),x6523) % 0.56/1.17 [666]~P18(x6664)+~P6(x6665,x6663,x6664)+~P6(x6661,f11(x6662,x6665,x6664),x6664)+P6(x6661,f11(x6662,x6663,x6664),x6664) % 0.56/1.17 [701]~P34(x7012)+E(x7011,f3(x7012))+E(x7013,f3(x7012))+E(f9(f10(f5(x7014,x7011,x7012),f5(x7015,x7013,x7012),x7012),f5(x7013,x7011,x7012),x7012),f10(f9(x7014,x7013,x7012),f9(x7015,x7011,x7012),x7012)) % 0.56/1.17 [702]~P34(x7022)+E(x7021,f3(x7022))+E(x7023,f3(x7022))+E(f9(f11(f5(x7024,x7021,x7022),f5(x7025,x7023,x7022),x7022),f5(x7023,x7021,x7022),x7022),f11(f9(x7024,x7023,x7022),f9(x7025,x7021,x7022),x7022)) % 0.56/1.17 [341]~P37(x3413)+E(x3411,x3412)+~E(f8(x3411,x3413),f8(x3412,x3413))+E(x3412,f3(x3413))+E(x3411,f3(x3413)) % 0.56/1.17 [545]~P29(x5452)+~P6(f3(x5452),x5451,x5452)+~P6(f3(x5452),x5453,x5452)+~E(f11(x5453,x5451,x5452),f3(x5452))+E(x5451,f3(x5452)) % 0.56/1.17 [546]~P29(x5462)+~P6(f3(x5462),x5463,x5462)+~P6(f3(x5462),x5461,x5462)+~E(f11(x5461,x5463,x5462),f3(x5462))+E(x5461,f3(x5462)) % 0.56/1.17 [603]~P38(x6031)+~P47(x6031)+~P6(x6033,f3(x6031),x6031)+~P6(x6032,f3(x6031),x6031)+P6(f3(x6031),f9(x6032,x6033,x6031),x6031) % 0.56/1.17 [604]~P38(x6041)+~P47(x6041)+~P6(f3(x6041),x6043,x6041)+~P6(f3(x6041),x6042,x6041)+P6(f3(x6041),f9(x6042,x6043,x6041),x6041) % 0.56/1.17 [605]~P38(x6053)+~P47(x6053)+~P6(x6052,f3(x6053),x6053)+~P6(f3(x6053),x6051,x6053)+P6(f9(x6051,x6052,x6053),f3(x6053),x6053) % 0.56/1.17 [606]~P38(x6063)+~P47(x6063)+~P6(x6061,f3(x6063),x6063)+~P6(f3(x6063),x6062,x6063)+P6(f9(x6061,x6062,x6063),f3(x6063),x6063) % 0.56/1.17 [615]~P38(x6152)+~P47(x6152)+~P6(f9(x6153,x6151,x6152),f3(x6152),x6152)+P6(x6151,f3(x6152),x6152)+P6(x6153,f3(x6152),x6152) % 0.56/1.17 [616]~P38(x6162)+~P47(x6162)+~P6(f3(x6162),f9(x6163,x6161,x6162),x6162)+P6(x6161,f3(x6162),x6162)+P6(f3(x6162),x6163,x6162) % 0.56/1.17 [617]~P38(x6172)+~P47(x6172)+~P6(f3(x6172),f9(x6171,x6173,x6172),x6172)+P6(x6171,f3(x6172),x6172)+P6(f3(x6172),x6173,x6172) % 0.56/1.17 [618]~P38(x6182)+~P47(x6182)+~P6(f3(x6182),f9(x6183,x6181,x6182),x6182)+P6(x6181,f3(x6182),x6182)+P6(f3(x6182),x6181,x6182) % 0.56/1.17 [619]~P38(x6192)+~P47(x6192)+~P6(f3(x6192),f9(x6191,x6193,x6192),x6192)+P6(x6191,f3(x6192),x6192)+P6(f3(x6192),x6191,x6192) % 0.56/1.17 [620]~P38(x6202)+~P47(x6202)+~P6(f9(x6203,x6201,x6202),f3(x6202),x6202)+P6(x6201,f3(x6202),x6202)+P6(f3(x6202),x6201,x6202) % 0.56/1.17 [621]~P38(x6212)+~P47(x6212)+~P6(f9(x6211,x6213,x6212),f3(x6212),x6212)+P6(x6211,f3(x6212),x6212)+P6(f3(x6212),x6211,x6212) % 0.56/1.17 [622]~P38(x6221)+~P47(x6221)+~P6(f9(x6222,x6223,x6221),f3(x6221),x6221)+P6(f3(x6221),x6222,x6221)+P6(f3(x6221),x6223,x6221) % 0.56/1.17 [582]~P11(x5824)+~P28(x5824)+~P6(x5821,x5823,x5824)+~P6(f3(x5824),x5822,x5824)+P6(x5821,f11(x5822,x5823,x5824),x5824) % 0.56/1.17 [583]~P11(x5834)+~P28(x5834)+~P6(x5831,x5832,x5834)+~P6(f3(x5834),x5833,x5834)+P6(x5831,f11(x5832,x5833,x5834),x5834) % 0.56/1.17 [659]~P38(x6593)+~P47(x6593)+~P6(x6594,x6591,x6593)+~P6(x6592,f3(x6593),x6593)+P6(f9(x6591,x6592,x6593),f9(x6594,x6592,x6593),x6593) % 0.56/1.17 [660]~P38(x6603)+~P47(x6603)+~P6(x6601,x6604,x6603)+~P6(f3(x6603),x6602,x6603)+P6(f9(x6601,x6602,x6603),f9(x6604,x6602,x6603),x6603) % 0.56/1.17 [547]~P34(x5472)+~E(f9(x5474,x5473,x5472),f9(x5475,x5471,x5472))+E(f5(x5474,x5471,x5472),f5(x5475,x5473,x5472))+E(x5471,f3(x5472))+E(x5473,f3(x5472)) % 0.56/1.17 [548]~P34(x5482)+~E(f5(x5484,x5483,x5482),f5(x5485,x5481,x5482))+E(f9(x5484,x5481,x5482),f9(x5485,x5483,x5482))+E(x5481,f3(x5482))+E(x5483,f3(x5482)) % 0.56/1.17 [671]~P4(x6714)+~P44(x6714)+E(x6711,x6712)+E(x6713,f3(x6714))+~E(f11(x6715,f5(x6713,x6711,x6714),x6714),f11(x6715,f5(x6713,x6712,x6714),x6714)) % 0.56/1.17 [695]~P4(x6955)+~P44(x6955)+E(x6951,x6952)+E(x6953,x6954)+~E(f11(f5(x6953,x6951,x6955),f5(x6954,x6952,x6955),x6955),f11(f5(x6953,x6952,x6955),f5(x6954,x6951,x6955),x6955)) % 0.56/1.17 [430]~P49(x4302)+~P61(x4302)+~P52(x4302)+~P26(x4302)+~E(f20(x4301,x4303,x4302),f3(x4302))+E(x4301,f3(x4302)) % 0.56/1.17 [692]~P38(x6924)+~P47(x6924)+~P6(x6921,f3(x6924),x6924)+~P6(x6922,f5(x6921,x6923,x6924),x6924)+~P6(f5(x6921,x6923,x6924),x6922,x6924)+P6(x6921,f9(x6922,x6923,x6924),x6924) % 0.56/1.17 [693]~P38(x6933)+~P47(x6933)+~P6(f3(x6933),x6934,x6933)+~P6(x6931,f5(x6934,x6932,x6933),x6933)+~P6(f5(x6934,x6932,x6933),x6931,x6933)+P6(f9(x6931,x6932,x6933),x6934,x6933) % 0.56/1.17 [685]~P57(x6853)+~P6(x6852,x6855,x6853)+~P6(x6851,x6854,x6853)+~P6(f3(x6853),x6854,x6853)+~P6(f3(x6853),x6852,x6853)+P6(f5(x6851,x6852,x6853),f5(x6854,x6855,x6853),x6853) % 0.56/1.17 [686]~P57(x6863)+~P6(x6862,x6865,x6863)+~P6(x6861,x6864,x6863)+~P6(f3(x6863),x6862,x6863)+~P6(f3(x6863),x6861,x6863)+P6(f5(x6861,x6862,x6863),f5(x6864,x6865,x6863),x6863) % 0.56/1.17 [718]~P48(x7183)+~P6(x7187,x7182,x7183)+~P6(x7186,x7181,x7183)+~P6(x7182,x7185,x7183)+~P6(x7181,x7184,x7183)+P6(f5(x7181,x7182,x7183),f11(f11(f11(f5(f15(x7184,x7183),f15(x7185,x7183),x7183),f5(f15(x7186,x7183),f16(x7185,x7183),x7183),x7183),f5(f16(x7184,x7183),f15(x7187,x7183),x7183),x7183),f5(f16(x7186,x7183),f16(x7187,x7183),x7183),x7183),x7183) % 0.56/1.17 [719]~P48(x7192)+~P6(x7197,x7193,x7192)+~P6(x7196,x7194,x7192)+~P6(x7195,x7197,x7192)+~P6(x7191,x7196,x7192)+P6(f11(f11(f11(f5(f16(x7191,x7192),f15(x7193,x7192),x7192),f5(f16(x7194,x7192),f16(x7193,x7192),x7192),x7192),f5(f15(x7191,x7192),f15(x7195,x7192),x7192),x7192),f5(f15(x7194,x7192),f16(x7195,x7192),x7192),x7192),f5(x7196,x7197,x7192),x7192) % 0.56/1.17 %EqnAxiom % 0.56/1.17 [1]E(x11,x11) % 0.56/1.17 [2]E(x22,x21)+~E(x21,x22) % 0.56/1.17 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 0.56/1.17 [4]~E(x41,x42)+E(f3(x41),f3(x42)) % 0.56/1.17 [5]~E(x51,x52)+E(f4(x51),f4(x52)) % 0.56/1.17 [6]~E(x61,x62)+E(f5(x61,x63,x64),f5(x62,x63,x64)) % 0.56/1.17 [7]~E(x71,x72)+E(f5(x73,x71,x74),f5(x73,x72,x74)) % 0.56/1.17 [8]~E(x81,x82)+E(f5(x83,x84,x81),f5(x83,x84,x82)) % 0.56/1.17 [9]~E(x91,x92)+E(f20(x91,x93,x94),f20(x92,x93,x94)) % 0.56/1.17 [10]~E(x101,x102)+E(f20(x103,x101,x104),f20(x103,x102,x104)) % 0.56/1.17 [11]~E(x111,x112)+E(f20(x113,x114,x111),f20(x113,x114,x112)) % 0.56/1.17 [12]~E(x121,x122)+E(f13(x121,x123),f13(x122,x123)) % 0.56/1.17 [13]~E(x131,x132)+E(f13(x133,x131),f13(x133,x132)) % 0.56/1.17 [14]~E(x141,x142)+E(f11(x141,x143,x144),f11(x142,x143,x144)) % 0.56/1.17 [15]~E(x151,x152)+E(f11(x153,x151,x154),f11(x153,x152,x154)) % 0.56/1.17 [16]~E(x161,x162)+E(f11(x163,x164,x161),f11(x163,x164,x162)) % 0.56/1.17 [17]~E(x171,x172)+E(f8(x171,x173),f8(x172,x173)) % 0.56/1.17 [18]~E(x181,x182)+E(f8(x183,x181),f8(x183,x182)) % 0.56/1.17 [19]~E(x191,x192)+E(f6(x191,x193),f6(x192,x193)) % 0.56/1.17 [20]~E(x201,x202)+E(f6(x203,x201),f6(x203,x202)) % 0.56/1.17 [21]~E(x211,x212)+E(f12(x211,x213),f12(x212,x213)) % 0.56/1.17 [22]~E(x221,x222)+E(f12(x223,x221),f12(x223,x222)) % 0.56/1.17 [23]~E(x231,x232)+E(f14(x231,x233,x234),f14(x232,x233,x234)) % 0.56/1.17 [24]~E(x241,x242)+E(f14(x243,x241,x244),f14(x243,x242,x244)) % 0.56/1.17 [25]~E(x251,x252)+E(f14(x253,x254,x251),f14(x253,x254,x252)) % 0.56/1.17 [26]~E(x261,x262)+E(f9(x261,x263,x264),f9(x262,x263,x264)) % 0.56/1.17 [27]~E(x271,x272)+E(f9(x273,x271,x274),f9(x273,x272,x274)) % 0.56/1.17 [28]~E(x281,x282)+E(f9(x283,x284,x281),f9(x283,x284,x282)) % 0.56/1.17 [29]~E(x291,x292)+E(f18(x291,x293,x294),f18(x292,x293,x294)) % 0.56/1.17 [30]~E(x301,x302)+E(f18(x303,x301,x304),f18(x303,x302,x304)) % 0.56/1.17 [31]~E(x311,x312)+E(f18(x313,x314,x311),f18(x313,x314,x312)) % 0.56/1.17 [32]~E(x321,x322)+E(f21(x321),f21(x322)) % 0.56/1.17 [33]~E(x331,x332)+E(f10(x331,x333,x334),f10(x332,x333,x334)) % 0.56/1.17 [34]~E(x341,x342)+E(f10(x343,x341,x344),f10(x343,x342,x344)) % 0.56/1.17 [35]~E(x351,x352)+E(f10(x353,x354,x351),f10(x353,x354,x352)) % 0.56/1.17 [36]~E(x361,x362)+E(f29(x361,x363,x364),f29(x362,x363,x364)) % 0.56/1.17 [37]~E(x371,x372)+E(f29(x373,x371,x374),f29(x373,x372,x374)) % 0.56/1.17 [38]~E(x381,x382)+E(f29(x383,x384,x381),f29(x383,x384,x382)) % 0.56/1.17 [39]~E(x391,x392)+E(f17(x391,x393),f17(x392,x393)) % 0.56/1.17 [40]~E(x401,x402)+E(f17(x403,x401),f17(x403,x402)) % 0.56/1.17 [41]~E(x411,x412)+E(f15(x411,x413),f15(x412,x413)) % 0.56/1.17 [42]~E(x421,x422)+E(f15(x423,x421),f15(x423,x422)) % 0.56/1.17 [43]~E(x431,x432)+E(f25(x431),f25(x432)) % 0.56/1.17 [44]~E(x441,x442)+E(f31(x441),f31(x442)) % 0.56/1.17 [45]~E(x451,x452)+E(f16(x451,x453),f16(x452,x453)) % 0.56/1.17 [46]~E(x461,x462)+E(f16(x463,x461),f16(x463,x462)) % 0.56/1.17 [47]~E(x471,x472)+E(f19(x471,x473,x474),f19(x472,x473,x474)) % 0.56/1.17 [48]~E(x481,x482)+E(f19(x483,x481,x484),f19(x483,x482,x484)) % 0.56/1.17 [49]~E(x491,x492)+E(f19(x493,x494,x491),f19(x493,x494,x492)) % 0.56/1.17 [50]~E(x501,x502)+E(f32(x501,x503,x504),f32(x502,x503,x504)) % 0.56/1.17 [51]~E(x511,x512)+E(f32(x513,x511,x514),f32(x513,x512,x514)) % 0.56/1.17 [52]~E(x521,x522)+E(f32(x523,x524,x521),f32(x523,x524,x522)) % 0.56/1.17 [53]~E(x531,x532)+E(f30(x531),f30(x532)) % 0.56/1.17 [54]~E(x541,x542)+E(f27(x541,x543),f27(x542,x543)) % 0.56/1.17 [55]~E(x551,x552)+E(f27(x553,x551),f27(x553,x552)) % 0.56/1.17 [56]~E(x561,x562)+E(f26(x561,x563),f26(x562,x563)) % 0.56/1.17 [57]~E(x571,x572)+E(f26(x573,x571),f26(x573,x572)) % 0.56/1.17 [58]~E(x581,x582)+E(f7(x581,x583),f7(x582,x583)) % 0.56/1.17 [59]~E(x591,x592)+E(f7(x593,x591),f7(x593,x592)) % 0.56/1.17 [60]~E(x601,x602)+E(f28(x601,x603),f28(x602,x603)) % 0.56/1.17 [61]~E(x611,x612)+E(f28(x613,x611),f28(x613,x612)) % 0.56/1.17 [62]~P1(x621)+P1(x622)+~E(x621,x622) % 0.56/1.17 [63]P6(x632,x633,x634)+~E(x631,x632)+~P6(x631,x633,x634) % 0.56/1.17 [64]P6(x643,x642,x644)+~E(x641,x642)+~P6(x643,x641,x644) % 0.56/1.17 [65]P6(x653,x654,x652)+~E(x651,x652)+~P6(x653,x654,x651) % 0.56/1.17 [66]~P2(x661)+P2(x662)+~E(x661,x662) % 0.56/1.17 [67]~P3(x671)+P3(x672)+~E(x671,x672) % 0.56/1.17 [68]~P55(x681)+P55(x682)+~E(x681,x682) % 0.56/1.17 [69]~P53(x691)+P53(x692)+~E(x691,x692) % 0.56/1.17 [70]~P8(x701)+P8(x702)+~E(x701,x702) % 0.56/1.17 [71]~P54(x711)+P54(x712)+~E(x711,x712) % 0.56/1.17 [72]~P9(x721)+P9(x722)+~E(x721,x722) % 0.56/1.17 [73]~P47(x731)+P47(x732)+~E(x731,x732) % 0.56/1.17 [74]~P4(x741)+P4(x742)+~E(x741,x742) % 0.56/1.17 [75]~P37(x751)+P37(x752)+~E(x751,x752) % 0.56/1.17 [76]~P33(x761)+P33(x762)+~E(x761,x762) % 0.56/1.17 [77]~P44(x771)+P44(x772)+~E(x771,x772) % 0.56/1.17 [78]~P24(x781)+P24(x782)+~E(x781,x782) % 0.56/1.17 [79]~P34(x791)+P34(x792)+~E(x791,x792) % 0.56/1.17 [80]~P18(x801)+P18(x802)+~E(x801,x802) % 0.56/1.17 [81]~P38(x811)+P38(x812)+~E(x811,x812) % 0.56/1.17 [82]~P39(x821)+P39(x822)+~E(x821,x822) % 0.56/1.17 [83]~P35(x831)+P35(x832)+~E(x831,x832) % 0.56/1.17 [84]~P40(x841)+P40(x842)+~E(x841,x842) % 0.56/1.17 [85]~P20(x851)+P20(x852)+~E(x851,x852) % 0.56/1.17 [86]~P28(x861)+P28(x862)+~E(x861,x862) % 0.56/1.17 [87]~P36(x871)+P36(x872)+~E(x871,x872) % 0.56/1.17 [88]~P46(x881)+P46(x882)+~E(x881,x882) % 0.56/1.17 [89]~P45(x891)+P45(x892)+~E(x891,x892) % 0.56/1.17 [90]~P25(x901)+P25(x902)+~E(x901,x902) % 0.56/1.17 [91]~P31(x911)+P31(x912)+~E(x911,x912) % 0.56/1.17 [92]~P56(x921)+P56(x922)+~E(x921,x922) % 0.56/1.17 [93]~P11(x931)+P11(x932)+~E(x931,x932) % 0.56/1.17 [94]~P29(x941)+P29(x942)+~E(x941,x942) % 0.56/1.17 [95]~P19(x951)+P19(x952)+~E(x951,x952) % 0.56/1.17 [96]~P17(x961)+P17(x962)+~E(x961,x962) % 0.56/1.17 [97]~P58(x971)+P58(x972)+~E(x971,x972) % 0.56/1.17 [98]~P5(x981)+P5(x982)+~E(x981,x982) % 0.56/1.17 [99]~P26(x991)+P26(x992)+~E(x991,x992) % 0.56/1.17 [100]~P52(x1001)+P52(x1002)+~E(x1001,x1002) % 0.56/1.17 [101]~P21(x1011)+P21(x1012)+~E(x1011,x1012) % 0.56/1.17 [102]~P61(x1021)+P61(x1022)+~E(x1021,x1022) % 0.56/1.17 [103]~P30(x1031)+P30(x1032)+~E(x1031,x1032) % 0.56/1.17 [104]~P60(x1041)+P60(x1042)+~E(x1041,x1042) % 0.56/1.17 [105]~P13(x1051)+P13(x1052)+~E(x1051,x1052) % 0.56/1.17 [106]~P7(x1061)+P7(x1062)+~E(x1061,x1062) % 0.56/1.17 [107]~P49(x1071)+P49(x1072)+~E(x1071,x1072) % 0.56/1.17 [108]~P41(x1081)+P41(x1082)+~E(x1081,x1082) % 0.56/1.17 [109]~P16(x1091)+P16(x1092)+~E(x1091,x1092) % 0.56/1.17 [110]~P10(x1101)+P10(x1102)+~E(x1101,x1102) % 0.56/1.17 [111]~P48(x1111)+P48(x1112)+~E(x1111,x1112) % 0.56/1.17 [112]~P42(x1121)+P42(x1122)+~E(x1121,x1122) % 0.56/1.17 [113]~P43(x1131)+P43(x1132)+~E(x1131,x1132) % 0.56/1.17 [114]~P51(x1141)+P51(x1142)+~E(x1141,x1142) % 0.56/1.17 [115]~P50(x1151)+P50(x1152)+~E(x1151,x1152) % 0.56/1.17 [116]~P32(x1161)+P32(x1162)+~E(x1161,x1162) % 0.56/1.17 [117]~P15(x1171)+P15(x1172)+~E(x1171,x1172) % 0.56/1.17 [118]~P22(x1181)+P22(x1182)+~E(x1181,x1182) % 0.56/1.17 [119]~P12(x1191)+P12(x1192)+~E(x1191,x1192) % 0.56/1.17 [120]~P27(x1201)+P27(x1202)+~E(x1201,x1202) % 0.56/1.17 [121]~P59(x1211)+P59(x1212)+~E(x1211,x1212) % 0.56/1.17 [122]~P14(x1221)+P14(x1222)+~E(x1221,x1222) % 0.56/1.17 [123]~P57(x1231)+P57(x1232)+~E(x1231,x1232) % 0.56/1.17 [124]~P23(x1241)+P23(x1242)+~E(x1241,x1242) % 0.56/1.17 [125]~P62(x1251)+P62(x1252)+~E(x1251,x1252) % 0.56/1.17 % 0.56/1.17 %------------------------------------------- % 0.56/1.17 cnf(844,plain, % 0.56/1.17 (P6(x8441,f13(f31(x8441),a2),a1)), % 0.56/1.17 inference(scs_inference,[],[259,380])). % 0.56/1.17 cnf(846,plain, % 0.56/1.17 (~P6(f13(f14(f18(a24,a23,a2),f3(a2),a2),a2),f13(f14(f18(a24,a23,a2),f31(x8461),a2),a2),a1)), % 0.56/1.17 inference(scs_inference,[],[259,713])). % 0.56/1.17 cnf(1030,plain, % 0.56/1.17 ($false), % 0.56/1.17 inference(scs_inference,[],[844,846,407,707]), % 0.56/1.17 ['proof']). % 0.56/1.17 % SZS output end Proof % 0.56/1.17 % Total time :0.340000s %------------------------------------------------------------------------------