%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : ALG397-1 : 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 : n004.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 03:41:36 EDT 2024 % Result : Unsatisfiable 0.70s 0.85s % Output : CNFRefutation 0.86s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.10 % Problem : ALG397-1 : TPTP v8.2.0. Released v4.1.0. % 0.00/0.10 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % 0.09/0.30 % Computer : n004.cluster.edu % 0.09/0.30 % Model : x86_64 x86_64 % 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.30 % Memory : 8042.1875MB % 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64 % 0.09/0.30 % CPULimit : 300 % 0.09/0.30 % WCLimit : 300 % 0.09/0.30 % DateTime : Wed Jun 19 17:39:09 EDT 2024 % 0.09/0.30 % CPUTime : % 0.16/0.51 start to proof:theBenchmark % 0.70/0.80 %------------------------------------------- % 0.70/0.80 % File :CSE---1.7 % 0.70/0.80 % Problem :theBenchmark % 0.70/0.80 % Transform :cnf % 0.70/0.80 % Format :tptp:raw % 0.70/0.80 % Command :java -jar mcs_scs.jar %d %s % 0.70/0.80 % 0.70/0.80 % Result :Theorem 0.040000s % 0.70/0.80 % Output :CNFRefutation 0.040000s % 0.70/0.80 %------------------------------------------- % 0.70/0.81 %------------------------------------------------------------------------------ % 0.70/0.81 % File : ALG397-1 : TPTP v8.2.0. Released v4.1.0. % 0.70/0.81 % Domain : General Algebra % 0.70/0.81 % Problem : Fundamental theorem of algebra 0653_38 % 0.70/0.81 % Version : Especial. % 0.70/0.81 % English : % 0.70/0.81 % 0.70/0.81 % Refs : [Nip10] Nipkow (2010), Email to Geoff Sutcliffe % 0.70/0.81 % : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day % 0.70/0.81 % Source : [Nip10] % 0.70/0.81 % Names : Fundamental_Theorem_Algebra-0653_38 [Nip10] % 0.70/0.81 % 0.70/0.81 % Status : Unsatisfiable % 0.70/0.81 % Rating : 0.05 v7.4.0, 0.06 v7.3.0, 0.00 v7.0.0, 0.07 v6.3.0, 0.00 v6.2.0, 0.10 v6.1.0, 0.00 v5.5.0, 0.05 v5.3.0, 0.06 v5.1.0, 0.12 v5.0.0, 0.14 v4.1.0 % 0.70/0.81 % Syntax : Number of clauses : 713 ( 166 unt; 67 nHn; 479 RR) % 0.70/0.81 % Number of literals : 1719 ( 409 equ; 965 neg) % 0.70/0.81 % Maximal clause size : 6 ( 2 avg) % 0.70/0.81 % Maximal term depth : 8 ( 2 avg) % 0.70/0.81 % Number of predicates : 65 ( 64 usr; 0 prp; 1-3 aty) % 0.70/0.81 % Number of functors : 43 ( 43 usr; 10 con; 0-5 aty) % 0.70/0.81 % Number of variables : 1554 ( 95 sgn) % 0.70/0.81 % SPC : CNF_UNS_RFO_SEQ_NHN % 0.70/0.81 % 0.70/0.81 % Comments : % 0.70/0.81 %------------------------------------------------------------------------------ % 0.70/0.81 cnf(cls_zero__le__square_0,axiom, % 0.70/0.81 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.70/0.81 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_a),T_a) ) ). % 0.70/0.81 % 0.70/0.81 cnf(cls_mult__nonpos__nonpos_0,axiom, % 0.70/0.81 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 0.70/0.81 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b),T_a) % 0.70/0.81 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.70/0.81 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.70/0.81 % 0.70/0.81 cnf(cls_split__mult__pos__le_1,axiom, % 0.70/0.81 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 0.70/0.81 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b),T_a) % 0.70/0.81 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.70/0.81 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.70/0.81 % 0.70/0.81 cnf(cls_split__mult__pos__le_0,axiom, % 0.70/0.81 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 0.70/0.81 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b),T_a) % 0.70/0.81 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.70/0.81 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.70/0.81 % 0.70/0.81 cnf(cls_xt1_I11_J_0,axiom, % 0.70/0.81 ( ~ class_Orderings_Oorder(T_a) % 0.70/0.81 | c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 0.70/0.81 | V_a = V_b % 0.70/0.81 | ~ c_lessequals(V_b,V_a,T_a) ) ). % 0.70/0.81 % 0.70/0.81 cnf(cls_xt1_I12_J_0,axiom, % 0.70/0.81 ( ~ class_Orderings_Oorder(T_a) % 0.70/0.81 | c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 0.70/0.81 | ~ c_lessequals(V_b,V_a,T_a) % 0.70/0.81 | V_a = V_b ) ). % 0.70/0.81 % 0.70/0.81 cnf(cls_linorder__antisym__conv2_0,axiom, % 0.70/0.81 ( ~ class_Orderings_Olinorder(T_a) % 0.70/0.81 | V_x = V_y % 0.70/0.81 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.70/0.81 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.70/0.81 % 0.70/0.81 cnf(cls_linorder__antisym__conv1_0,axiom, % 0.70/0.81 ( ~ class_Orderings_Olinorder(T_a) % 0.70/0.81 | V_x = V_y % 0.70/0.81 | ~ c_lessequals(V_x,V_y,T_a) % 0.70/0.81 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.70/0.81 % 0.70/0.81 cnf(cls_order__neq__le__trans_0,axiom, % 0.70/0.81 ( ~ class_Orderings_Oorder(T_a) % 0.70/0.81 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.70/0.81 | ~ c_lessequals(V_a,V_b,T_a) % 0.70/0.81 | V_a = V_b ) ). % 0.70/0.81 % 0.70/0.81 cnf(cls_order__le__neq__trans_0,axiom, % 0.70/0.81 ( ~ class_Orderings_Oorder(T_a) % 0.70/0.81 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.70/0.81 | V_a = V_b % 0.70/0.81 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.70/0.81 % 0.70/0.81 cnf(cls_order__le__less_0,axiom, % 0.70/0.81 ( ~ class_Orderings_Oorder(T_a) % 0.70/0.81 | V_x = V_y % 0.70/0.81 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.70/0.81 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.70/0.81 % 0.70/0.81 cnf(cls_order__less__le_2,axiom, % 0.70/0.81 ( ~ class_Orderings_Oorder(T_a) % 0.70/0.81 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.70/0.81 | V_x = V_y % 0.70/0.81 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.70/0.81 % 0.70/0.81 cnf(cls_add__is__1_1,axiom, % 0.70/0.81 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) % 0.70/0.81 | V_n = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) % 0.70/0.81 | V_m = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ). % 0.70/0.81 % 0.70/0.81 cnf(cls_add__is__1_2,axiom, % 0.70/0.81 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) % 0.70/0.81 | V_m = c_HOL_Ozero__class_Ozero(tc_nat) % 0.70/0.81 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 0.70/0.81 % 0.70/0.81 cnf(cls_power__mult__distrib_0,axiom, % 0.70/0.81 ( ~ class_OrderedGroup_Ocomm__monoid__mult(T_a) % 0.70/0.81 | hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b)),V_n) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b),V_n)) ) ). % 0.70/0.81 % 0.70/0.81 cnf(cls_class__semiring_Opwr__mul_0,axiom, % 0.70/0.81 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.70/0.81 | hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_y)),V_q) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_q)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_y),V_q)) ) ). % 0.70/0.81 % 0.70/0.81 cnf(cls_zero__le__mult__iff_4,axiom, % 0.70/0.81 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.70/0.81 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b),T_a) % 0.70/0.81 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.70/0.81 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.70/0.81 % 0.70/0.81 cnf(cls_zero__le__mult__iff_5,axiom, % 0.70/0.81 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.70/0.81 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b),T_a) % 0.70/0.81 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.70/0.81 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.70/0.81 % 0.70/0.81 cnf(cls_mult__nonneg__nonneg_0,axiom, % 0.70/0.81 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a) % 0.70/0.81 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b),T_a) % 0.70/0.81 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.70/0.81 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.70/0.81 % 0.70/0.81 cnf(cls_class__ring_Oneg__mul_0,axiom, % 0.70/0.81 ( ~ class_Int_Onumber__ring(T_a) % 0.70/0.81 | c_HOL_Ouminus__class_Ouminus(V_x,T_a) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(T_a),T_a)),V_x) ) ). % 0.70/0.81 % 0.70/0.81 cnf(cls_ab__semigroup__mult__class_Omult__ac_I1_J_0,axiom, % 0.70/0.81 ( ~ class_OrderedGroup_Oab__semigroup__mult(T_a) % 0.70/0.81 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_c)) ) ). % 0.70/0.81 % 0.70/0.81 cnf(cls_class__semiring_Osemiring__rules_I16_J_0,axiom, % 0.70/0.81 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.70/0.81 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_lx),V_ly)),V_rx) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_lx),V_rx)),V_ly) ) ). % 0.70/0.81 % 0.70/0.81 cnf(cls_class__semiring_Osemiring__rules_I17_J_0,axiom, % 0.70/0.81 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.70/0.81 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_lx),V_ly)),V_rx) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_lx),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_ly),V_rx)) ) ). % 0.70/0.81 % 0.70/0.81 cnf(cls_class__semiring_Osemiring__rules_I18_J_0,axiom, % 0.70/0.81 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.70/0.81 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_lx),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_rx),V_ry)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_lx),V_rx)),V_ry) ) ). % 0.70/0.81 % 0.70/0.81 cnf(cls_class__semiring_Osemiring__rules_I19_J_0,axiom, % 0.70/0.81 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.70/0.81 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_lx),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_rx),V_ry)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_rx),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_lx),V_ry)) ) ). % 0.70/0.81 % 0.70/0.81 cnf(cls_class__semiring_Omul__a_0,axiom, % 0.70/0.81 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.70/0.81 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_y),V_z)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_y)),V_z) ) ). % 0.70/0.81 % 0.70/0.81 cnf(cls_poly__rec__pCons_0,axiom, % 0.70/0.81 ( ~ class_HOL_Ozero(T_b) % 0.70/0.81 | hAPP(hAPP(hAPP(V_f,c_HOL_Ozero__class_Ozero(T_b)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_b))),V_z) != V_z % 0.70/0.81 | c_Polynomial_Opoly__rec(V_z,V_f,c_Polynomial_OpCons(V_a,V_p,T_b),T_a,T_b) = hAPP(hAPP(hAPP(V_f,V_a),V_p),c_Polynomial_Opoly__rec(V_z,V_f,V_p,T_a,T_b)) ) ). % 0.70/0.81 % 0.70/0.81 cnf(cls_class__semiring_Osemiring__rules_I8_J_0,axiom, % 0.70/0.81 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.70/0.81 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_c)) ) ). % 0.70/0.81 % 0.70/0.81 cnf(cls_mult__right_Oadd_0,axiom, % 0.70/0.81 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.70/0.81 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_xa),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_y)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_xa),V_x)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_xa),V_y)) ) ). % 0.70/0.81 % 0.70/0.81 cnf(cls_mult_Oadd__right_0,axiom, % 0.70/0.81 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.70/0.81 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_b_H)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b_H)) ) ). % 0.70/0.81 % 0.70/0.81 cnf(cls_mult__left_Oadd_0,axiom, % 0.70/0.81 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.70/0.81 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_y)),V_ya) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_ya)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_y),V_ya)) ) ). % 0.70/0.81 % 0.70/0.81 cnf(cls_mult_Oadd__left_0,axiom, % 0.70/0.81 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.70/0.81 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a_H)),V_b) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a_H),V_b)) ) ). % 0.70/0.81 % 0.70/0.81 cnf(cls_class__semiring_Omul__d_0,axiom, % 0.70/0.81 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.70/0.81 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_y),V_z)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_y)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_z)) ) ). % 0.70/0.81 % 0.70/0.81 cnf(cls_comm__semiring__class_Odistrib_0,axiom, % 0.70/0.81 ( ~ class_Ring__and__Field_Ocomm__semiring(T_a) % 0.70/0.81 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_c)) ) ). % 0.70/0.81 % 0.70/0.81 cnf(cls_zero__le__mult__iff_0,axiom, % 0.70/0.81 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.70/0.81 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.70/0.81 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.70/0.81 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b),T_a) ) ). % 0.70/0.81 % 0.70/0.81 cnf(cls_zero__le__mult__iff_1,axiom, % 0.70/0.81 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.70/0.81 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.70/0.81 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.70/0.81 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b),T_a) ) ). % 0.70/0.81 % 0.70/0.81 cnf(cls_zero__le__mult__iff_2,axiom, % 0.70/0.81 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.70/0.81 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.70/0.81 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.70/0.81 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b),T_a) ) ). % 0.70/0.81 % 0.70/0.81 cnf(cls_zero__le__mult__iff_3,axiom, % 0.70/0.81 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.70/0.82 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.70/0.82 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.70/0.82 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b),T_a) ) ). % 0.70/0.82 % 0.70/0.82 cnf(cls_neg__equal__zero_0,axiom, % 0.70/0.82 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a) % 0.70/0.82 | c_HOL_Ouminus__class_Ouminus(V_a,T_a) != V_a % 0.70/0.82 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.70/0.82 % 0.70/0.82 cnf(cls_synthetic__div__unique__lemma_0,axiom, % 0.70/0.82 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a) % 0.70/0.82 | c_Polynomial_Osmult(V_c,V_p,T_a) != c_Polynomial_OpCons(V_a,V_p,T_a) % 0.70/0.82 | V_p = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ). % 0.70/0.82 % 0.70/0.82 cnf(cls_zero__less__power__eq_3,axiom, % 0.70/0.82 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.70/0.82 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),c_HOL_Ozero__class_Ozero(tc_nat)),T_a) ) ). % 0.70/0.82 % 0.70/0.82 cnf(cls_sum__squares__gt__zero__iff_0,axiom, % 0.70/0.82 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.70/0.82 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Ozero__class_Ozero(T_a))),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Ozero__class_Ozero(T_a))),T_a) ) ). % 0.70/0.82 % 0.70/0.82 cnf(cls_class__semiring_Osemiring__rules_I1_J_0,axiom, % 0.70/0.82 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.70/0.82 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_m)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_m)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),V_m) ) ). % 0.70/0.82 % 0.70/0.82 cnf(cls_zero__less__two_0,axiom, % 0.70/0.82 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.70/0.82 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Oone__class_Oone(T_a)),c_HOL_Oone__class_Oone(T_a)),T_a) ) ). % 0.70/0.82 % 0.70/0.82 cnf(cls_mult_Ominus__left_0,axiom, % 0.70/0.82 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.70/0.82 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a)),V_b) = c_HOL_Ouminus__class_Ouminus(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b),T_a) ) ). % 0.70/0.82 % 0.70/0.82 cnf(cls_mult__left_Ominus_0,axiom, % 0.70/0.82 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.70/0.82 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_HOL_Ouminus__class_Ouminus(V_x,T_a)),V_y) = c_HOL_Ouminus__class_Ouminus(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_y),T_a) ) ). % 0.70/0.82 % 0.70/0.82 cnf(cls_mult_Ominus__right_0,axiom, % 0.70/0.82 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.70/0.82 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a)) = c_HOL_Ouminus__class_Ouminus(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b),T_a) ) ). % 0.70/0.82 % 0.70/0.82 cnf(cls_mult__right_Ominus_0,axiom, % 0.70/0.82 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.70/0.82 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_xa),c_HOL_Ouminus__class_Ouminus(V_x,T_a)) = c_HOL_Ouminus__class_Ouminus(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_xa),V_x),T_a) ) ). % 0.70/0.82 % 0.70/0.82 cnf(cls_square__eq__iff_1,axiom, % 0.70/0.82 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.70/0.82 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a)),c_HOL_Ouminus__class_Ouminus(V_b,T_a)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_b) ) ). % 0.70/0.82 % 0.70/0.82 cnf(cls_minus__mult__minus_0,axiom, % 0.70/0.82 ( ~ class_Ring__and__Field_Oring(T_a) % 0.70/0.82 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a)),c_HOL_Ouminus__class_Ouminus(V_b,T_a)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b) ) ). % 0.70/0.82 % 0.70/0.82 cnf(cls_mult__mono_0,axiom, % 0.70/0.82 ( ~ class_Ring__and__Field_Opordered__semiring(T_a) % 0.70/0.82 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_d),T_a) % 0.70/0.82 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.70/0.82 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.70/0.82 | ~ c_lessequals(V_c,V_d,T_a) % 0.70/0.82 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.70/0.82 % 0.70/0.82 cnf(cls_mult__mono_H_0,axiom, % 0.70/0.82 ( ~ class_Ring__and__Field_Opordered__semiring(T_a) % 0.70/0.82 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_d),T_a) % 0.70/0.82 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.70/0.82 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.70/0.82 | ~ c_lessequals(V_c,V_d,T_a) % 0.70/0.82 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.70/0.82 % 0.70/0.82 cnf(cls_power__inject__base_0,axiom, % 0.70/0.82 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.70/0.82 | hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),c_Suc(V_n)) != hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b),c_Suc(V_n)) % 0.70/0.82 | V_a = V_b % 0.70/0.82 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.70/0.82 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.70/0.82 % 0.70/0.82 cnf(cls_smult__monom_0,axiom, % 0.70/0.82 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a) % 0.70/0.82 | c_Polynomial_Osmult(V_a,c_Polynomial_Omonom(V_b,V_n,T_a),T_a) = c_Polynomial_Omonom(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b),V_n,T_a) ) ). % 0.70/0.82 % 0.70/0.82 cnf(cls_power__Suc__less_0,axiom, % 0.70/0.82 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.70/0.82 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n),T_a) % 0.70/0.82 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Oone__class_Oone(T_a),T_a) % 0.70/0.82 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.70/0.82 % 0.70/0.82 cnf(cls_mult__less__cancel__left__disj_0,axiom, % 0.70/0.82 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.70/0.82 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.70/0.82 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.70/0.82 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_b),T_a) ) ). % 0.70/0.82 % 0.70/0.82 cnf(cls_mult__less__cancel__left__disj_3,axiom, % 0.70/0.82 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.70/0.82 | c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 0.70/0.82 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.70/0.82 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_b),T_a) ) ). % 0.70/0.82 % 0.70/0.82 cnf(cls_mult__less__cancel__right__disj_0,axiom, % 0.70/0.82 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.70/0.82 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.70/0.82 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.70/0.82 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_c),T_a) ) ). % 0.70/0.82 % 0.70/0.82 cnf(cls_mult__less__cancel__right__disj_3,axiom, % 0.70/0.82 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.70/0.82 | c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 0.70/0.82 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.70/0.82 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_c),T_a) ) ). % 0.70/0.82 % 0.70/0.82 cnf(cls_smult__1__left_0,axiom, % 0.70/0.82 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.70/0.82 | c_Polynomial_Osmult(c_HOL_Oone__class_Oone(T_a),V_p,T_a) = V_p ) ). % 0.70/0.82 % 0.70/0.82 cnf(cls_offset__poly__single_0,axiom, % 0.70/0.82 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a) % 0.70/0.82 | c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(c_Polynomial_OpCons(V_a,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),T_a),V_h,T_a) = c_Polynomial_OpCons(V_a,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),T_a) ) ). % 0.70/0.82 % 0.70/0.82 cnf(cls_add__monom_0,axiom, % 0.70/0.82 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.70/0.82 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Polynomial_Opoly(T_a)),c_Polynomial_Omonom(V_a,V_n,T_a)),c_Polynomial_Omonom(V_b,V_n,T_a)) = c_Polynomial_Omonom(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),V_n,T_a) ) ). % 0.70/0.82 % 0.70/0.82 cnf(cls_mult__left__le__one__le_0,axiom, % 0.70/0.82 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.70/0.82 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_y),V_x),V_x,T_a) % 0.70/0.82 | ~ c_lessequals(V_y,c_HOL_Oone__class_Oone(T_a),T_a) % 0.70/0.82 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) % 0.70/0.82 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ). % 0.70/0.82 % 0.70/0.82 cnf(cls_mult__right__le__one__le_0,axiom, % 0.70/0.82 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.70/0.82 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_y),V_x,T_a) % 0.70/0.82 | ~ c_lessequals(V_y,c_HOL_Oone__class_Oone(T_a),T_a) % 0.70/0.82 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) % 0.70/0.82 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ). % 0.70/0.82 % 0.70/0.82 cnf(cls_nat__add__right__cancel_0,axiom, % 0.70/0.82 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_k) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),V_k) % 0.70/0.82 | V_m = V_n ) ). % 0.70/0.82 % 0.70/0.82 cnf(cls_nat__add__left__cancel_0,axiom, % 0.70/0.82 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),V_m) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),V_n) % 0.70/0.82 | V_m = V_n ) ). % 0.70/0.82 % 0.70/0.82 cnf(cls_natgb_Oadd__cancel_0,axiom, % 0.70/0.82 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_x),V_y) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_x),V_z) % 0.70/0.82 | V_y = V_z ) ). % 0.70/0.82 % 0.70/0.82 cnf(cls_not__square__less__zero_0,axiom, % 0.70/0.82 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.70/0.82 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.70/0.82 % 0.70/0.82 cnf(cls_mult__le__0__iff_4,axiom, % 0.70/0.82 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.70/0.82 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.70/0.82 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.70/0.82 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.70/0.82 % 0.70/0.82 cnf(cls_mult__le__0__iff_5,axiom, % 0.70/0.82 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.70/0.82 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.70/0.82 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.70/0.82 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.70/0.82 % 0.70/0.82 cnf(cls_split__mult__neg__le_0,axiom, % 0.70/0.82 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a) % 0.70/0.82 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.70/0.82 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.70/0.82 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.70/0.82 % 0.70/0.82 cnf(cls_split__mult__neg__le_1,axiom, % 0.70/0.82 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a) % 0.70/0.82 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.70/0.82 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.70/0.82 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.70/0.82 % 0.70/0.82 cnf(cls_mult__nonneg__nonpos_0,axiom, % 0.70/0.82 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a) % 0.70/0.82 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.70/0.82 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.70/0.82 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.70/0.82 % 0.70/0.82 cnf(cls_mult__nonpos__nonneg_0,axiom, % 0.70/0.82 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a) % 0.70/0.82 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.70/0.82 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.70/0.82 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.70/0.82 % 0.70/0.82 cnf(cls_mult__nonneg__nonpos2_0,axiom, % 0.70/0.82 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a) % 0.70/0.82 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.70/0.82 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.70/0.82 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.70/0.82 % 0.70/0.82 cnf(cls_add__nonneg__pos_0,axiom, % 0.70/0.82 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 0.70/0.82 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),T_a) % 0.70/0.82 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.70/0.82 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.70/0.82 % 0.70/0.82 cnf(cls_add__pos__nonneg_0,axiom, % 0.70/0.82 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 0.70/0.82 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),T_a) % 0.70/0.82 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.70/0.82 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.70/0.82 % 0.70/0.82 cnf(cls_add__Suc__shift_0,axiom, % 0.70/0.82 hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Suc(V_m)),V_n) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),c_Suc(V_n)) ). % 0.70/0.82 % 0.70/0.82 cnf(cls_of__nat__Suc_0,axiom, % 0.70/0.82 ( ~ class_Ring__and__Field_Osemiring__1(T_a) % 0.70/0.82 | c_Nat_Osemiring__1__class_Oof__nat(c_Suc(V_m),T_a) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Oone__class_Oone(T_a)),c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a)) ) ). % 0.70/0.82 % 0.70/0.82 cnf(cls_one__is__add_3,axiom, % 0.70/0.82 ( c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) % 0.70/0.82 | V_n = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) % 0.70/0.82 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 0.70/0.82 % 0.70/0.82 cnf(cls_one__is__add_0,axiom, % 0.70/0.82 ( c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) % 0.70/0.82 | V_m = c_HOL_Ozero__class_Ozero(tc_nat) % 0.70/0.82 | V_m = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ). % 0.70/0.82 % 0.70/0.82 cnf(cls_coeff__add_0,axiom, % 0.70/0.82 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.70/0.82 | hAPP(c_Polynomial_Ocoeff(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Polynomial_Opoly(T_a)),V_p),V_q),T_a),V_n) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(c_Polynomial_Ocoeff(V_p,T_a),V_n)),hAPP(c_Polynomial_Ocoeff(V_q,T_a),V_n)) ) ). % 0.70/0.82 % 0.70/0.82 cnf(cls_zero__neq__one_0,axiom, % 0.70/0.82 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a) % 0.70/0.82 | c_HOL_Ozero__class_Ozero(T_a) != c_HOL_Oone__class_Oone(T_a) ) ). % 0.70/0.82 % 0.70/0.82 cnf(cls_of__nat__1_0,axiom, % 0.70/0.82 ( ~ class_Ring__and__Field_Osemiring__1(T_a) % 0.70/0.82 | c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oone__class_Oone(tc_nat),T_a) = c_HOL_Oone__class_Oone(T_a) ) ). % 0.70/0.82 % 0.70/0.82 cnf(cls_one__is__add_5,axiom, % 0.70/0.82 c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))) ). % 0.70/0.82 % 0.70/0.82 cnf(cls_offset__poly__eq__0__iff_0,axiom, % 0.70/0.82 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a) % 0.70/0.82 | c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(V_p,V_h,T_a) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) % 0.70/0.82 | V_p = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ). % 0.70/0.82 % 0.70/0.82 cnf(cls_neg__0__le__iff__le_0,axiom, % 0.70/0.82 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.70/0.82 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.70/0.82 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ). % 0.70/0.82 % 0.70/0.82 cnf(cls_neg__0__le__iff__le_1,axiom, % 0.70/0.82 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.70/0.82 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) % 0.70/0.82 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.70/0.82 % 0.70/0.82 cnf(cls_power__one_0,axiom, % 0.70/0.82 ( ~ class_OrderedGroup_Omonoid__mult(T_a) % 0.70/0.82 | hAPP(hAPP(c_Power_Opower__class_Opower(T_a),c_HOL_Oone__class_Oone(T_a)),V_n) = c_HOL_Oone__class_Oone(T_a) ) ). % 0.70/0.82 % 0.70/0.82 cnf(cls_coeff__monom_0,axiom, % 0.70/0.82 ( ~ class_HOL_Ozero(T_a) % 0.70/0.82 | hAPP(c_Polynomial_Ocoeff(c_Polynomial_Omonom(V_a,V_x,T_a),T_a),V_x) = V_a ) ). % 0.70/0.82 % 0.70/0.82 cnf(cls_power__Suc__less__one_0,axiom, % 0.70/0.82 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.70/0.82 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),c_Suc(V_n)),c_HOL_Oone__class_Oone(T_a),T_a) % 0.70/0.82 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Oone__class_Oone(T_a),T_a) % 0.70/0.82 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.70/0.82 % 0.70/0.82 cnf(cls_comm__monoid__add_Opower__add_0,axiom, % 0.70/0.82 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.70/0.82 | hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(T_a),T_a),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(T_a),T_a),V_a),V_m)),hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(T_a),T_a),V_a),V_n)) ) ). % 0.70/0.82 % 0.70/0.82 cnf(cls_add__mono_0,axiom, % 0.70/0.82 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a) % 0.70/0.82 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_d),T_a) % 0.70/0.82 | ~ c_lessequals(V_c,V_d,T_a) % 0.70/0.82 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.70/0.82 % 0.70/0.82 cnf(cls_leading__coeff__0__iff_1,axiom, % 0.70/0.82 ( ~ class_HOL_Ozero(T_a) % 0.70/0.82 | hAPP(c_Polynomial_Ocoeff(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),T_a),c_Polynomial_Odegree(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),T_a)) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.70/0.82 % 0.70/0.83 cnf(cls_power__0__left_0,axiom, % 0.70/0.83 ( ~ class_Ring__and__Field_Osemiring__0(T_a) % 0.70/0.83 | ~ class_Power_Opower(T_a) % 0.70/0.83 | hAPP(hAPP(c_Power_Opower__class_Opower(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Oone__class_Oone(T_a) ) ). % 0.70/0.83 % 0.70/0.83 cnf(cls_add__strict__increasing_0,axiom, % 0.70/0.83 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.70/0.83 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.70/0.83 | c_HOL_Oord__class_Oless(V_b,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),T_a) % 0.70/0.83 | ~ c_lessequals(V_b,V_c,T_a) % 0.70/0.83 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.70/0.83 % 0.70/0.83 cnf(cls_zero__le__power__iff_1,axiom, % 0.70/0.83 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.70/0.83 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n),T_a) % 0.70/0.83 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.70/0.83 % 0.70/0.83 cnf(cls_zero__le__power_0,axiom, % 0.70/0.83 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.70/0.83 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n),T_a) % 0.70/0.83 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.70/0.83 % 0.70/0.83 cnf(cls_le__minus__self__iff_0,axiom, % 0.70/0.83 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.70/0.83 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.70/0.83 | ~ c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ). % 0.70/0.83 % 0.70/0.83 cnf(cls_le__minus__self__iff_1,axiom, % 0.70/0.83 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.70/0.83 | c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) % 0.70/0.83 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.70/0.83 % 0.70/0.83 cnf(cls_minus__le__self__iff_0,axiom, % 0.70/0.83 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.70/0.83 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.70/0.83 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_a,T_a) ) ). % 0.70/0.83 % 0.70/0.83 cnf(cls_minus__le__self__iff_1,axiom, % 0.70/0.83 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.70/0.83 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_a,T_a) % 0.70/0.83 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.70/0.83 % 0.70/0.83 cnf(cls_less__eq__neg__nonpos_0,axiom, % 0.70/0.83 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a) % 0.70/0.83 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.70/0.83 | ~ c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ). % 0.70/0.83 % 0.70/0.83 cnf(cls_less__eq__neg__nonpos_1,axiom, % 0.70/0.83 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a) % 0.70/0.83 | c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) % 0.70/0.83 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.70/0.83 % 0.70/0.83 cnf(cls_neg__less__eq__nonneg_0,axiom, % 0.70/0.83 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a) % 0.70/0.83 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.70/0.83 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_a,T_a) ) ). % 0.70/0.83 % 0.70/0.83 cnf(cls_neg__less__eq__nonneg_1,axiom, % 0.70/0.83 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a) % 0.70/0.83 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_a,T_a) % 0.70/0.83 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.70/0.83 % 0.70/0.83 cnf(cls_degree__pCons__0_0,axiom, % 0.70/0.83 ( ~ class_HOL_Ozero(T_a) % 0.70/0.83 | c_Polynomial_Odegree(c_Polynomial_OpCons(V_a,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),T_a),T_a) = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 0.70/0.83 % 0.70/0.83 cnf(cls_one__le__power_0,axiom, % 0.70/0.83 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.70/0.83 | c_lessequals(c_HOL_Oone__class_Oone(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n),T_a) % 0.70/0.83 | ~ c_lessequals(c_HOL_Oone__class_Oone(T_a),V_a,T_a) ) ). % 0.70/0.83 % 0.70/0.83 cnf(cls_coeff__pCons__Suc_0,axiom, % 0.70/0.83 ( ~ class_HOL_Ozero(T_a) % 0.70/0.83 | hAPP(c_Polynomial_Ocoeff(c_Polynomial_OpCons(V_a,V_p,T_a),T_a),c_Suc(V_n)) = hAPP(c_Polynomial_Ocoeff(V_p,T_a),V_n) ) ). % 0.70/0.83 % 0.70/0.83 cnf(cls_add__Suc_0,axiom, % 0.70/0.83 hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Suc(V_m)),V_n) = c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n)) ). % 0.70/0.83 % 0.70/0.83 cnf(cls_add__Suc__right_0,axiom, % 0.70/0.83 hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),c_Suc(V_n)) = c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n)) ). % 0.70/0.83 % 0.70/0.83 cnf(cls_norm__minus__cancel_0,axiom, % 0.70/0.83 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.70/0.83 | 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) ) ). % 0.70/0.83 % 0.70/0.83 cnf(cls_nat__add__commute_0,axiom, % 0.70/0.83 hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),V_m) ). % 0.70/0.83 % 0.70/0.83 cnf(cls_foldl__assoc_0,axiom, % 0.70/0.83 ( ~ class_OrderedGroup_Osemigroup__add(T_a) % 0.70/0.83 | c_List_Ofoldl(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_y),V_zs,T_a,T_a) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),c_List_Ofoldl(c_HOL_Oplus__class_Oplus(T_a),V_y,V_zs,T_a,T_a)) ) ). % 0.70/0.83 % 0.70/0.83 cnf(cls_power_Opower_Opower__Suc_0,axiom, % 0.70/0.83 hAPP(hAPP(c_Power_Opower_Opower(V_one,V_times,T_a),V_a),c_Suc(V_n)) = hAPP(hAPP(V_times,V_a),hAPP(hAPP(c_Power_Opower_Opower(V_one,V_times,T_a),V_a),V_n)) ). % 0.70/0.83 % 0.70/0.83 cnf(cls_power__minus_0,axiom, % 0.70/0.83 ( ~ class_Ring__and__Field_Oring__1(T_a) % 0.70/0.83 | hAPP(hAPP(c_Power_Opower__class_Opower(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a)),V_n) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(T_a),T_a)),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)) ) ). % 0.70/0.83 % 0.70/0.83 cnf(cls_degree__smult__eq_1,axiom, % 0.70/0.83 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.70/0.83 | c_Polynomial_Odegree(c_Polynomial_Osmult(V_a,V_p,T_a),T_a) = c_Polynomial_Odegree(V_p,T_a) % 0.70/0.83 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.70/0.83 % 0.70/0.83 cnf(cls_of__nat__add_0,axiom, % 0.70/0.83 ( ~ class_Ring__and__Field_Osemiring__1(T_a) % 0.70/0.83 | c_Nat_Osemiring__1__class_Oof__nat(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n),T_a) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a)),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a)) ) ). % 0.70/0.83 % 0.70/0.83 cnf(cls_coeff__inject_0,axiom, % 0.70/0.83 ( ~ class_HOL_Ozero(T_a) % 0.70/0.83 | c_Polynomial_Ocoeff(V_x,T_a) != c_Polynomial_Ocoeff(V_y,T_a) % 0.70/0.83 | V_x = V_y ) ). % 0.70/0.83 % 0.70/0.83 cnf(cls_monom__0_0,axiom, % 0.70/0.83 ( ~ class_HOL_Ozero(T_a) % 0.70/0.83 | c_Polynomial_Omonom(V_a,c_HOL_Ozero__class_Ozero(tc_nat),T_a) = c_Polynomial_OpCons(V_a,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),T_a) ) ). % 0.70/0.83 % 0.70/0.83 cnf(cls_mult__strict__mono_H_0,axiom, % 0.70/0.83 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.70/0.83 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_d),T_a) % 0.70/0.83 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.70/0.83 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.70/0.83 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a) % 0.70/0.83 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.70/0.83 % 0.70/0.83 cnf(cls_mult__idem_0,axiom, % 0.70/0.83 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(T_a) % 0.70/0.83 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_x) = V_x ) ). % 0.70/0.83 % 0.70/0.83 cnf(cls_smult__pCons_0,axiom, % 0.70/0.83 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a) % 0.70/0.83 | c_Polynomial_Osmult(V_a,c_Polynomial_OpCons(V_b,V_p,T_a),T_a) = c_Polynomial_OpCons(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b),c_Polynomial_Osmult(V_a,V_p,T_a),T_a) ) ). % 0.70/0.83 % 0.70/0.83 cnf(cls_Suc__n__not__n_0,axiom, % 0.70/0.83 c_Suc(V_n) != V_n ). % 0.70/0.83 % 0.70/0.83 cnf(cls_n__not__Suc__n_0,axiom, % 0.70/0.83 V_n != c_Suc(V_n) ). % 0.70/0.83 % 0.70/0.83 cnf(cls_mult__right__mono__neg_0,axiom, % 0.70/0.83 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 0.70/0.83 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_c),T_a) % 0.70/0.83 | ~ c_lessequals(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.70/0.83 | ~ c_lessequals(V_b,V_a,T_a) ) ). % 0.70/0.83 % 0.70/0.83 cnf(cls_mult__left__mono__neg_0,axiom, % 0.70/0.83 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 0.70/0.83 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_b),T_a) % 0.70/0.83 | ~ c_lessequals(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.70/0.83 | ~ c_lessequals(V_b,V_a,T_a) ) ). % 0.70/0.83 % 0.70/0.83 cnf(cls_mult__right__mono_0,axiom, % 0.70/0.83 ( ~ class_Ring__and__Field_Omult__mono(T_a) % 0.70/0.83 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_c),T_a) % 0.70/0.83 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.70/0.83 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.70/0.83 % 0.70/0.83 cnf(cls_mult__left__mono_0,axiom, % 0.70/0.83 ( ~ class_Ring__and__Field_Omult__mono(T_a) % 0.70/0.83 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_b),T_a) % 0.70/0.83 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.70/0.83 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.70/0.83 % 0.70/0.83 cnf(cls_mult__mono1_0,axiom, % 0.70/0.83 ( ~ class_Ring__and__Field_Omult__mono1(T_a) % 0.70/0.83 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_b),T_a) % 0.70/0.83 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.70/0.83 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.70/0.83 % 0.70/0.83 cnf(cls_power__less__power__Suc_0,axiom, % 0.70/0.83 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.70/0.83 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),T_a) % 0.70/0.83 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_a,T_a) ) ). % 0.70/0.83 % 0.70/0.83 cnf(cls_pCons__eq__iff_0,axiom, % 0.70/0.83 ( ~ class_HOL_Ozero(T_a) % 0.70/0.83 | c_Polynomial_OpCons(V_a,V_p,T_a) != c_Polynomial_OpCons(V_b,V_q,T_a) % 0.70/0.83 | V_a = V_b ) ). % 0.70/0.83 % 0.70/0.83 cnf(cls_pCons__eq__iff_1,axiom, % 0.70/0.83 ( ~ class_HOL_Ozero(T_a) % 0.70/0.83 | c_Polynomial_OpCons(V_a,V_p,T_a) != c_Polynomial_OpCons(V_b,V_q,T_a) % 0.70/0.83 | V_p = V_q ) ). % 0.70/0.83 % 0.70/0.83 cnf(cls_add__minus__cancel_0,axiom, % 0.70/0.83 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.70/0.83 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a)),V_b)) = V_b ) ). % 0.70/0.83 % 0.70/0.83 cnf(cls_mult__pos__neg2_0,axiom, % 0.70/0.83 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.70/0.83 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.70/0.83 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.70/0.83 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.70/0.83 % 0.70/0.83 cnf(cls_mult__pos__neg_0,axiom, % 0.70/0.83 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.70/0.83 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.70/0.83 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.70/0.83 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.70/0.83 % 0.70/0.83 cnf(cls_mult__neg__pos_0,axiom, % 0.70/0.83 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.70/0.83 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.70/0.83 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.70/0.83 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.70/0.83 % 0.70/0.83 cnf(cls_mult__le__0__iff_3,axiom, % 0.70/0.83 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.70/0.83 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.70/0.83 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.70/0.83 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.70/0.83 % 0.70/0.83 cnf(cls_mult__le__0__iff_2,axiom, % 0.70/0.83 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.70/0.83 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.70/0.83 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.70/0.83 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.70/0.83 % 0.70/0.83 cnf(cls_mult__le__0__iff_1,axiom, % 0.70/0.83 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.70/0.83 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.70/0.83 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.70/0.83 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.70/0.83 % 0.70/0.83 cnf(cls_mult__le__0__iff_0,axiom, % 0.70/0.83 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.70/0.83 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.70/0.83 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.70/0.83 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.70/0.83 % 0.70/0.83 cnf(cls_psize__def_1,axiom, % 0.70/0.83 ( ~ class_HOL_Ozero(T_a) % 0.70/0.83 | c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(V_p,T_a) = c_Suc(c_Polynomial_Odegree(V_p,T_a)) % 0.70/0.83 | V_p = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ). % 0.70/0.83 % 0.70/0.83 cnf(cls_class__semiring_Opwr__0_0,axiom, % 0.70/0.83 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.70/0.83 | hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Oone__class_Oone(T_a) ) ). % 0.70/0.83 % 0.70/0.83 cnf(cls_power__0_0,axiom, % 0.70/0.83 ( ~ class_Power_Opower(T_a) % 0.70/0.83 | hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Oone__class_Oone(T_a) ) ). % 0.70/0.83 % 0.70/0.83 cnf(cls_neg__le__0__iff__le_1,axiom, % 0.70/0.83 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.70/0.83 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.70/0.83 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.70/0.83 % 0.70/0.83 cnf(cls_neg__le__0__iff__le_0,axiom, % 0.70/0.83 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.70/0.83 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.70/0.83 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.70/0.83 % 0.70/0.83 cnf(cls_field__power__not__zero_0,axiom, % 0.70/0.83 ( ~ class_Ring__and__Field_Oring__1__no__zero__divisors(T_a) % 0.70/0.83 | hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n) != c_HOL_Ozero__class_Ozero(T_a) % 0.70/0.83 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.70/0.83 % 0.70/0.83 cnf(cls_power__eq__0__iff_0,axiom, % 0.70/0.83 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a) % 0.70/0.83 | ~ class_Ring__and__Field_Ono__zero__divisors(T_a) % 0.70/0.83 | ~ class_Ring__and__Field_Omult__zero(T_a) % 0.70/0.83 | ~ class_Power_Opower(T_a) % 0.70/0.83 | hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n) != c_HOL_Ozero__class_Ozero(T_a) % 0.70/0.83 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.70/0.83 % 0.70/0.83 cnf(cls_mult__left__idem_0,axiom, % 0.70/0.83 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(T_a) % 0.70/0.83 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_y)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_y) ) ). % 0.70/0.83 % 0.70/0.83 cnf(cls_less__add__one_0,axiom, % 0.70/0.83 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.70/0.83 | c_HOL_Oord__class_Oless(V_a,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_HOL_Oone__class_Oone(T_a)),T_a) ) ). % 0.70/0.83 % 0.70/0.83 cnf(cls_le__eq__neg_1,axiom, % 0.70/0.83 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.70/0.83 | c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) % 0.70/0.83 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.70/0.83 % 0.70/0.83 cnf(cls_le__eq__neg_0,axiom, % 0.70/0.83 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.70/0.83 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.70/0.83 | ~ c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ). % 0.70/0.83 % 0.70/0.83 cnf(cls_minus__mult__right_0,axiom, % 0.70/0.83 ( ~ class_Ring__and__Field_Oring(T_a) % 0.70/0.83 | c_HOL_Ouminus__class_Ouminus(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b),T_a) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a)) ) ). % 0.70/0.83 % 0.70/0.83 cnf(cls_minus__mult__left_0,axiom, % 0.70/0.83 ( ~ class_Ring__and__Field_Oring(T_a) % 0.70/0.83 | c_HOL_Ouminus__class_Ouminus(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b),T_a) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a)),V_b) ) ). % 0.70/0.83 % 0.70/0.83 cnf(cls_add__le__cancel__right_1,axiom, % 0.70/0.83 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.70/0.83 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c),T_a) % 0.70/0.83 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.70/0.83 % 0.70/0.83 cnf(cls_add__le__cancel__right_0,axiom, % 0.70/0.83 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.70/0.83 | c_lessequals(V_a,V_b,T_a) % 0.70/0.83 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c),T_a) ) ). % 0.70/0.83 % 0.70/0.83 cnf(cls_add__le__cancel__left_1,axiom, % 0.70/0.83 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.70/0.83 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_b),T_a) % 0.70/0.83 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.70/0.83 % 0.70/0.83 cnf(cls_add__le__cancel__left_0,axiom, % 0.70/0.83 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.70/0.83 | c_lessequals(V_a,V_b,T_a) % 0.70/0.83 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_b),T_a) ) ). % 0.70/0.83 % 0.70/0.83 cnf(cls_add__right__mono_0,axiom, % 0.70/0.83 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a) % 0.70/0.83 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c),T_a) % 0.70/0.83 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.70/0.83 % 0.70/0.83 cnf(cls_add__left__mono_0,axiom, % 0.70/0.83 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a) % 0.70/0.83 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_b),T_a) % 0.70/0.83 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.70/0.83 % 0.70/0.83 cnf(cls_leading__coeff__0__iff_0,axiom, % 0.70/0.83 ( ~ class_HOL_Ozero(T_a) % 0.70/0.83 | hAPP(c_Polynomial_Ocoeff(V_p,T_a),c_Polynomial_Odegree(V_p,T_a)) != c_HOL_Ozero__class_Ozero(T_a) % 0.70/0.83 | V_p = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ). % 0.70/0.83 % 0.70/0.83 cnf(cls_linorder__neqE__ordered__idom_0,axiom, % 0.70/0.83 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.70/0.83 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 0.70/0.83 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.70/0.83 | V_x = V_y ) ). % 0.70/0.83 % 0.70/0.83 cnf(cls_not__less__iff__gr__or__eq_0,axiom, % 0.70/0.83 ( ~ class_Orderings_Olinorder(T_a) % 0.70/0.83 | V_x = V_y % 0.70/0.83 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 0.70/0.83 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.70/0.83 % 0.70/0.83 cnf(cls_linorder__antisym__conv3_0,axiom, % 0.70/0.83 ( ~ class_Orderings_Olinorder(T_a) % 0.70/0.83 | V_x = V_y % 0.70/0.83 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.70/0.83 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ). % 0.70/0.83 % 0.70/0.83 cnf(cls_linorder__less__linear_0,axiom, % 0.70/0.83 ( ~ class_Orderings_Olinorder(T_a) % 0.70/0.83 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 0.70/0.83 | V_x = V_y % 0.70/0.83 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.70/0.83 % 0.70/0.83 cnf(cls_order__antisym__conv_0,axiom, % 0.70/0.83 ( ~ class_Orderings_Oorder(T_a) % 0.70/0.83 | V_x = V_y % 0.70/0.83 | ~ c_lessequals(V_x,V_y,T_a) % 0.70/0.83 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 0.70/0.83 % 0.70/0.83 cnf(cls_order__eq__iff_2,axiom, % 0.70/0.83 ( ~ class_Orderings_Oorder(T_a) % 0.70/0.83 | V_x = V_y % 0.70/0.83 | ~ c_lessequals(V_y,V_x,T_a) % 0.70/0.83 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.70/0.83 % 0.70/0.83 cnf(cls_linorder__neqE_0,axiom, % 0.70/0.83 ( ~ class_Orderings_Olinorder(T_a) % 0.70/0.83 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 0.70/0.83 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.70/0.83 | V_x = V_y ) ). % 0.70/0.83 % 0.70/0.83 cnf(cls_order__antisym_0,axiom, % 0.70/0.83 ( ~ class_Orderings_Oorder(T_a) % 0.70/0.83 | V_x = V_y % 0.70/0.83 | ~ c_lessequals(V_y,V_x,T_a) % 0.70/0.83 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.70/0.83 % 0.70/0.83 cnf(cls_real__le__antisym_0,axiom, % 0.70/0.83 ( V_z = V_w % 0.70/0.83 | ~ c_lessequals(V_w,V_z,tc_RealDef_Oreal) % 0.70/0.83 | ~ c_lessequals(V_z,V_w,tc_RealDef_Oreal) ) ). % 0.70/0.83 % 0.70/0.83 cnf(cls_power__gt1__lemma_0,axiom, % 0.70/0.83 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.70/0.83 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),T_a) % 0.70/0.83 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_a,T_a) ) ). % 0.70/0.83 % 0.70/0.83 cnf(cls_compl__eq__compl__iff_0,axiom, % 0.70/0.83 ( ~ class_Lattices_Oboolean__algebra(T_a) % 0.70/0.83 | c_HOL_Ouminus__class_Ouminus(V_x,T_a) != c_HOL_Ouminus__class_Ouminus(V_y,T_a) % 0.70/0.83 | V_x = V_y ) ). % 0.70/0.83 % 0.70/0.83 cnf(cls_neg__equal__iff__equal_0,axiom, % 0.70/0.83 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.70/0.83 | c_HOL_Ouminus__class_Ouminus(V_a,T_a) != c_HOL_Ouminus__class_Ouminus(V_b,T_a) % 0.70/0.83 | V_a = V_b ) ). % 0.70/0.83 % 0.70/0.83 cnf(cls_class__semiring_Osemiring__rules_I15_J_0,axiom, % 0.70/0.83 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.70/0.83 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_lx),V_ly)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_rx),V_ry)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_rx),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_lx),V_ly)),V_ry)) ) ). % 0.70/0.83 % 0.70/0.83 cnf(cls_class__semiring_Osemiring__rules_I14_J_0,axiom, % 0.70/0.83 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.70/0.83 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_lx),V_ly)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_rx),V_ry)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_lx),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_ly),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_rx),V_ry))) ) ). % 0.70/0.83 % 0.70/0.83 cnf(cls_class__semiring_Osemiring__rules_I13_J_0,axiom, % 0.70/0.83 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.70/0.83 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_lx),V_ly)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_rx),V_ry)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_lx),V_rx)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_ly),V_ry)) ) ). % 0.70/0.83 % 0.70/0.83 cnf(cls_neg__equal__0__iff__equal_0,axiom, % 0.70/0.83 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.70/0.83 | c_HOL_Ouminus__class_Ouminus(V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.70/0.83 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.70/0.83 % 0.70/0.83 cnf(cls_sum__squares__le__zero__iff_2,axiom, % 0.70/0.83 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.70/0.83 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Ozero__class_Ozero(T_a))),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Ozero__class_Ozero(T_a))),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.70/0.83 % 0.70/0.83 cnf(cls_add__nonpos__neg_0,axiom, % 0.70/0.83 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 0.70/0.83 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.70/0.83 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.70/0.83 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.70/0.83 % 0.70/0.83 cnf(cls_add__neg__nonpos_0,axiom, % 0.70/0.83 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 0.70/0.83 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.70/0.83 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.70/0.83 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.70/0.83 % 0.70/0.83 cnf(cls_neg__less__iff__less_1,axiom, % 0.70/0.83 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.70/0.83 | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) % 0.70/0.83 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.70/0.83 % 0.70/0.83 cnf(cls_neg__less__iff__less_0,axiom, % 0.70/0.83 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.70/0.83 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.70/0.83 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ). % 0.70/0.83 % 0.70/0.83 cnf(cls_not__sum__squares__lt__zero_0,axiom, % 0.70/0.83 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.70/0.84 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_x)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_y),V_y)),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_one__neq__zero_0,axiom, % 0.70/0.84 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a) % 0.70/0.84 | c_HOL_Oone__class_Oone(T_a) != c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_degree__smult__eq_0,axiom, % 0.70/0.84 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.70/0.84 | c_Polynomial_Odegree(c_Polynomial_Osmult(c_HOL_Ozero__class_Ozero(T_a),V_p,T_a),T_a) = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_power__less__imp__less__base_0,axiom, % 0.70/0.84 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.70/0.84 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.70/0.84 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.70/0.84 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b),V_n),T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_zero__less__mult__pos2_0,axiom, % 0.70/0.84 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.70/0.84 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.70/0.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.70/0.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_a),T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_zero__less__mult__pos_0,axiom, % 0.70/0.84 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.70/0.84 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.70/0.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.70/0.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b),T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_mult__pos__pos_0,axiom, % 0.70/0.84 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.70/0.84 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b),T_a) % 0.70/0.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.70/0.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_mult__neg__neg_0,axiom, % 0.70/0.84 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.70/0.84 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b),T_a) % 0.70/0.84 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.70/0.84 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_mult__eq__0__iff_0,axiom, % 0.70/0.84 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(T_a) % 0.70/0.84 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b) != c_HOL_Ozero__class_Ozero(T_a) % 0.70/0.84 | V_b = c_HOL_Ozero__class_Ozero(T_a) % 0.70/0.84 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_no__zero__divisors_0,axiom, % 0.70/0.84 ( ~ class_Ring__and__Field_Ono__zero__divisors(T_a) % 0.70/0.84 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b) != c_HOL_Ozero__class_Ozero(T_a) % 0.70/0.84 | V_b = c_HOL_Ozero__class_Ozero(T_a) % 0.70/0.84 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_no__zero__divirors__neq0_0,axiom, % 0.70/0.84 ( ~ class_Ring__and__Field_Ono__zero__divisors(T_a) % 0.70/0.84 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b) != c_HOL_Ozero__class_Ozero(T_a) % 0.70/0.84 | V_a = c_HOL_Ozero__class_Ozero(T_a) % 0.70/0.84 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_offset__poly__eq__0__lemma_0,axiom, % 0.70/0.84 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a) % 0.70/0.84 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Polynomial_Opoly(T_a)),c_Polynomial_Osmult(V_c,V_p,T_a)),c_Polynomial_OpCons(V_a,V_p,T_a)) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) % 0.70/0.84 | V_p = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_add__is__0_0,axiom, % 0.70/0.84 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) != c_HOL_Ozero__class_Ozero(tc_nat) % 0.70/0.84 | V_m = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_add__is__0_1,axiom, % 0.70/0.84 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) != c_HOL_Ozero__class_Ozero(tc_nat) % 0.70/0.84 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_class__semiring_Omul__pwr_0,axiom, % 0.70/0.84 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.70/0.84 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_p)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_q)) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_p),V_q)) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_square__eq__iff_0,axiom, % 0.70/0.84 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.70/0.84 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_a) != hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_b) % 0.70/0.84 | V_a = c_HOL_Ouminus__class_Ouminus(V_b,T_a) % 0.70/0.84 | V_a = V_b ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_mult__less__imp__less__right_0,axiom, % 0.70/0.84 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.70/0.84 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.70/0.84 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.70/0.84 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_c),T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_mult__less__imp__less__left_0,axiom, % 0.70/0.84 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.70/0.84 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.70/0.84 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.70/0.84 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_b),T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_mult__right__less__imp__less_0,axiom, % 0.70/0.84 ( ~ class_Ring__and__Field_Oordered__semiring(T_a) % 0.70/0.84 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.70/0.84 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.70/0.84 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_c),T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_mult__left__less__imp__less_0,axiom, % 0.70/0.84 ( ~ class_Ring__and__Field_Oordered__semiring(T_a) % 0.70/0.84 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.70/0.84 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.70/0.84 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_b),T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_natgb_Oadd__r0__iff_0,axiom, % 0.70/0.84 ( V_x != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_x),V_a) % 0.70/0.84 | V_a = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_add__eq__self__zero_0,axiom, % 0.70/0.84 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) != V_m % 0.70/0.84 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_of__nat__eq__iff_0,axiom, % 0.70/0.84 ( ~ class_Nat_Osemiring__char__0(T_a) % 0.70/0.84 | c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a) != c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a) % 0.70/0.84 | V_m = V_n ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_power__power__power_0,axiom, % 0.70/0.84 ( ~ class_Power_Opower(T_a) % 0.70/0.84 | c_Power_Opower__class_Opower(T_a) = c_Power_Opower_Opower(c_HOL_Oone__class_Oone(T_a),c_HOL_Otimes__class_Otimes(T_a),T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_sum__squares__ge__zero_0,axiom, % 0.70/0.84 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.70/0.84 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_x)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_y),V_y)),T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_smult__add__left_0,axiom, % 0.70/0.84 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a) % 0.70/0.84 | c_Polynomial_Osmult(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),V_p,T_a) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Polynomial_Opoly(T_a)),c_Polynomial_Osmult(V_a,V_p,T_a)),c_Polynomial_Osmult(V_b,V_p,T_a)) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_smult__add__right_0,axiom, % 0.70/0.84 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a) % 0.70/0.84 | c_Polynomial_Osmult(V_a,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Polynomial_Opoly(T_a)),V_p),V_q),T_a) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Polynomial_Opoly(T_a)),c_Polynomial_Osmult(V_a,V_p,T_a)),c_Polynomial_Osmult(V_a,V_q,T_a)) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_nat_Osimps_I2_J_0,axiom, % 0.70/0.84 c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(V_nat_H) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_Zero__neq__Suc_0,axiom, % 0.70/0.84 c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(V_m) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_neg__le__iff__le_0,axiom, % 0.70/0.84 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.70/0.84 | c_lessequals(V_a,V_b,T_a) % 0.70/0.84 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_le__imp__neg__le_0,axiom, % 0.70/0.84 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.70/0.84 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) % 0.70/0.84 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_power__0__Suc_0,axiom, % 0.70/0.84 ( ~ class_Ring__and__Field_Osemiring__0(T_a) % 0.70/0.84 | ~ class_Power_Opower(T_a) % 0.70/0.84 | hAPP(hAPP(c_Power_Opower__class_Opower(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_Suc(V_n)) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_mult__strict__mono_0,axiom, % 0.70/0.84 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.70/0.84 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_d),T_a) % 0.70/0.84 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.70/0.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.70/0.84 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a) % 0.70/0.84 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_comm__monoid__add_Opower__one__right_0,axiom, % 0.70/0.84 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.70/0.84 | hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(T_a),T_a),V_a),c_HOL_Oone__class_Oone(tc_nat)) = V_a ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_pCons__eq__0__iff_1,axiom, % 0.70/0.84 ( ~ class_HOL_Ozero(T_a) % 0.70/0.84 | c_Polynomial_OpCons(V_a,V_p,T_a) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) % 0.70/0.84 | V_p = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_power__commutes_0,axiom, % 0.70/0.84 ( ~ class_OrderedGroup_Omonoid__mult(T_a) % 0.70/0.84 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),V_a) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_class__semiring_Osemiring__rules_I4_J_0,axiom, % 0.70/0.84 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.70/0.84 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_m),V_m) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Oone__class_Oone(T_a)),c_HOL_Oone__class_Oone(T_a))),V_m) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_nat_Oinject_0,axiom, % 0.70/0.84 ( c_Suc(V_nat) != c_Suc(V_nat_H) % 0.70/0.84 | V_nat = V_nat_H ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_Suc__inject_0,axiom, % 0.70/0.84 ( c_Suc(V_x) != c_Suc(V_y) % 0.70/0.84 | V_x = V_y ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_add__pCons_0,axiom, % 0.70/0.84 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.70/0.84 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Polynomial_Opoly(T_a)),c_Polynomial_OpCons(V_a,V_p,T_a)),c_Polynomial_OpCons(V_b,V_q,T_a)) = c_Polynomial_OpCons(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Polynomial_Opoly(T_a)),V_p),V_q),T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_One__nat__def_0,axiom, % 0.70/0.84 c_HOL_Oone__class_Oone(tc_nat) = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_class__semiring_Osemiring__rules_I33_J_0,axiom, % 0.70/0.84 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.70/0.84 | hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),c_HOL_Oone__class_Oone(tc_nat)) = V_x ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_power__one__right_0,axiom, % 0.70/0.84 ( ~ class_OrderedGroup_Omonoid__mult(T_a) % 0.70/0.84 | hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),c_HOL_Oone__class_Oone(tc_nat)) = V_a ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_one__is__add_2,axiom, % 0.70/0.84 ( c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) % 0.70/0.84 | V_m = c_HOL_Ozero__class_Ozero(tc_nat) % 0.70/0.84 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_one__is__add_1,axiom, % 0.70/0.84 ( c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) % 0.70/0.84 | V_n = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) % 0.70/0.84 | V_m = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_zero__less__power_0,axiom, % 0.70/0.84 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.70/0.84 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n),T_a) % 0.70/0.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_poly__monom_0,axiom, % 0.70/0.84 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.70/0.84 | hAPP(c_Polynomial_Opoly(c_Polynomial_Omonom(V_a,V_n,T_a),T_a),V_x) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_n)) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_not__one__less__zero_0,axiom, % 0.70/0.84 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.70/0.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_class__ringb_Onoteq__reduce_0,axiom, % 0.70/0.84 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.70/0.84 | ~ class_Int_Onumber__ring(T_a) % 0.70/0.84 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_d)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_d)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_c)) % 0.70/0.84 | V_c = V_d % 0.70/0.84 | V_a = V_b ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_class__ringb_Oadd__mul__solve_0,axiom, % 0.70/0.84 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.70/0.84 | ~ class_Int_Onumber__ring(T_a) % 0.70/0.84 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_w),V_y)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_z)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_w),V_z)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_y)) % 0.70/0.84 | V_y = V_z % 0.70/0.84 | V_w = V_x ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_degree__monom__eq_0,axiom, % 0.70/0.84 ( ~ class_HOL_Ozero(T_a) % 0.70/0.84 | c_Polynomial_Odegree(c_Polynomial_Omonom(V_a,V_n,T_a),T_a) = V_n % 0.70/0.84 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_zero__le__one_0,axiom, % 0.70/0.84 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.70/0.84 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oone__class_Oone(T_a),T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_class__semiring_Osemiring__rules_I9_J_0,axiom, % 0.70/0.84 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.70/0.84 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_class__semiring_Osemiring__rules_I10_J_0,axiom, % 0.70/0.84 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.70/0.84 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_mult__left_Ozero_0,axiom, % 0.70/0.84 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.70/0.84 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_y) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_mult_Ozero__left_0,axiom, % 0.70/0.84 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.70/0.84 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_b) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_mult_Ozero__right_0,axiom, % 0.70/0.84 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.70/0.84 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_mult__right_Ozero_0,axiom, % 0.70/0.84 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.70/0.84 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),c_HOL_Ozero__class_Ozero(T_a)) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_class__semiring_Omul__0_0,axiom, % 0.70/0.84 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.70/0.84 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_x) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_mult__zero__left_0,axiom, % 0.70/0.84 ( ~ class_Ring__and__Field_Omult__zero(T_a) % 0.70/0.84 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_mult__zero__right_0,axiom, % 0.70/0.84 ( ~ class_Ring__and__Field_Omult__zero(T_a) % 0.70/0.84 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_mult__eq__0__iff_1,axiom, % 0.70/0.84 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(T_a) % 0.70/0.84 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_b) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_mult__eq__0__iff_2,axiom, % 0.70/0.84 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(T_a) % 0.70/0.84 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_class__semiring_Osemiring__rules_I2_J_0,axiom, % 0.70/0.84 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.70/0.84 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_m)),V_m) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_HOL_Oone__class_Oone(T_a))),V_m) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_class__semiring_Osemiring__rules_I3_J_0,axiom, % 0.70/0.84 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.70/0.84 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_m),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_m)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_HOL_Oone__class_Oone(T_a))),V_m) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_synthetic__div__unique_0,axiom, % 0.70/0.84 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a) % 0.70/0.84 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Polynomial_Opoly(T_a)),V_p),c_Polynomial_Osmult(V_c,V_q,T_a)) != c_Polynomial_OpCons(V_r,V_q,T_a) % 0.70/0.84 | V_r = hAPP(c_Polynomial_Opoly(V_p,T_a),V_c) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_one__is__add_4,axiom, % 0.70/0.84 c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),c_HOL_Ozero__class_Ozero(tc_nat)) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_linorder__neq__iff_1,axiom, % 0.70/0.84 ( ~ class_Orderings_Olinorder(T_a) % 0.70/0.84 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_order__less__le_1,axiom, % 0.70/0.84 ( ~ class_Orderings_Oorder(T_a) % 0.70/0.84 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_order__less__irrefl_0,axiom, % 0.70/0.84 ( ~ class_Orderings_Opreorder(T_a) % 0.70/0.84 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_less__le__not__le_2,axiom, % 0.70/0.84 ( ~ class_Orderings_Opreorder(T_a) % 0.70/0.84 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.70/0.84 | c_lessequals(V_y,V_x,T_a) % 0.70/0.84 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_not__one__le__zero_0,axiom, % 0.70/0.84 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.70/0.84 | ~ c_lessequals(c_HOL_Oone__class_Oone(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_add__strict__mono_0,axiom, % 0.70/0.84 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a) % 0.70/0.84 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_d),T_a) % 0.70/0.84 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a) % 0.70/0.84 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_order__le__less_1,axiom, % 0.70/0.84 ( ~ class_Orderings_Oorder(T_a) % 0.70/0.84 | c_lessequals(V_x,V_y,T_a) % 0.70/0.84 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_order__less__imp__le_0,axiom, % 0.70/0.84 ( ~ class_Orderings_Opreorder(T_a) % 0.70/0.84 | c_lessequals(V_x,V_y,T_a) % 0.70/0.84 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_add__cancel__end_1,axiom, % 0.70/0.84 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.70/0.84 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ouminus__class_Ouminus(V_z,T_a)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_y),V_z)) = V_y ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_minus__add__cancel_0,axiom, % 0.70/0.84 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.70/0.84 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)) = V_b ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_Suc__neq__Zero_0,axiom, % 0.70/0.84 c_Suc(V_m) != c_HOL_Ozero__class_Ozero(tc_nat) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_nat_Osimps_I3_J_0,axiom, % 0.70/0.84 c_Suc(V_nat_H) != c_HOL_Ozero__class_Ozero(tc_nat) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_power__gt1_0,axiom, % 0.70/0.84 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.70/0.84 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),c_Suc(V_n)),T_a) % 0.70/0.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_a,T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_coeff__pCons__0_0,axiom, % 0.70/0.84 ( ~ class_HOL_Ozero(T_a) % 0.70/0.84 | hAPP(c_Polynomial_Ocoeff(c_Polynomial_OpCons(V_a,V_p,T_a),T_a),c_HOL_Ozero__class_Ozero(tc_nat)) = V_a ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_power__le__zero__eq_0,axiom, % 0.70/0.84 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.70/0.84 | ~ c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_zero__less__one_0,axiom, % 0.70/0.84 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.70/0.84 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oone__class_Oone(T_a),T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_neg__0__equal__iff__equal_1,axiom, % 0.70/0.84 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.70/0.84 | c_HOL_Ozero__class_Ozero(T_a) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_power__le__imp__le__base_0,axiom, % 0.70/0.84 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.70/0.84 | c_lessequals(V_a,V_b,T_a) % 0.70/0.84 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.70/0.84 | ~ c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),c_Suc(V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b),c_Suc(V_n)),T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_mult__le__less__imp__less_0,axiom, % 0.70/0.84 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.70/0.84 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_d),T_a) % 0.70/0.84 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.70/0.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.70/0.84 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a) % 0.70/0.84 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_mult__less__le__imp__less_0,axiom, % 0.70/0.84 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.70/0.84 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_d),T_a) % 0.70/0.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.70/0.84 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.70/0.84 | ~ c_lessequals(V_c,V_d,T_a) % 0.70/0.84 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_power__inject__exp_0,axiom, % 0.70/0.84 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.70/0.84 | hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_m) != hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n) % 0.70/0.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_a,T_a) % 0.70/0.84 | V_m = V_n ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_class__semiring_Osemiring__rules_I27_J_0,axiom, % 0.70/0.84 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.70/0.84 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_q)) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),c_Suc(V_q)) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_class__semiring_Osemiring__rules_I28_J_0,axiom, % 0.70/0.84 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.70/0.84 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_q)),V_x) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),c_Suc(V_q)) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_minus__mult__commute_0,axiom, % 0.70/0.84 ( ~ class_Ring__and__Field_Oring(T_a) % 0.70/0.84 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a)),V_b) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a)) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_minus__zero_0,axiom, % 0.70/0.84 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.70/0.84 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_neg__equal__zero_1,axiom, % 0.70/0.84 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a) % 0.70/0.84 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_smult__eq__0__iff_2,axiom, % 0.70/0.84 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.70/0.84 | c_Polynomial_Osmult(V_a,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),T_a) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_smult__0__right_0,axiom, % 0.70/0.84 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a) % 0.70/0.84 | c_Polynomial_Osmult(V_a,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),T_a) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_power_Opower_Opower__0_0,axiom, % 0.70/0.84 hAPP(hAPP(c_Power_Opower_Opower(V_one,V_times,T_a),V_a),c_HOL_Ozero__class_Ozero(tc_nat)) = V_one ). % 0.70/0.84 % 0.70/0.84 cnf(cls_add__less__cancel__left_0,axiom, % 0.70/0.84 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.70/0.84 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.70/0.84 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_b),T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_add__less__cancel__left_1,axiom, % 0.70/0.84 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.70/0.84 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_b),T_a) % 0.70/0.84 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_add__strict__left__mono_0,axiom, % 0.70/0.84 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a) % 0.70/0.84 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_b),T_a) % 0.70/0.84 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_add__less__cancel__right_0,axiom, % 0.70/0.84 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.70/0.84 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.70/0.84 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c),T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_add__less__cancel__right_1,axiom, % 0.70/0.84 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.70/0.84 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c),T_a) % 0.70/0.84 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_add__strict__right__mono_0,axiom, % 0.70/0.84 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a) % 0.70/0.84 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c),T_a) % 0.70/0.84 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_order__eq__refl_0,axiom, % 0.70/0.84 ( ~ class_Orderings_Opreorder(T_a) % 0.70/0.84 | c_lessequals(V_x,V_x,T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_order__eq__iff_0,axiom, % 0.70/0.84 ( ~ class_Orderings_Oorder(T_a) % 0.70/0.84 | c_lessequals(V_x,V_x,T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_real__le__trans_0,axiom, % 0.70/0.84 ( c_lessequals(V_i,V_k,tc_RealDef_Oreal) % 0.70/0.84 | ~ c_lessequals(V_j,V_k,tc_RealDef_Oreal) % 0.70/0.84 | ~ c_lessequals(V_i,V_j,tc_RealDef_Oreal) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_real__le__refl_0,axiom, % 0.70/0.84 c_lessequals(V_w,V_w,tc_RealDef_Oreal) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_order__le__less__trans_0,axiom, % 0.70/0.84 ( ~ class_Orderings_Opreorder(T_a) % 0.70/0.84 | c_HOL_Oord__class_Oless(V_x,V_z,T_a) % 0.70/0.84 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a) % 0.70/0.84 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_order__less__le__trans_0,axiom, % 0.70/0.84 ( ~ class_Orderings_Opreorder(T_a) % 0.70/0.84 | c_HOL_Oord__class_Oless(V_x,V_z,T_a) % 0.70/0.84 | ~ c_lessequals(V_y,V_z,T_a) % 0.70/0.84 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_le__add__right__mono_0,axiom, % 0.70/0.84 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.70/0.84 | c_lessequals(V_a,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_d),T_a) % 0.70/0.84 | ~ c_lessequals(V_c,V_d,T_a) % 0.70/0.84 | ~ c_lessequals(V_a,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c),T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_order__trans_0,axiom, % 0.70/0.84 ( ~ class_Orderings_Opreorder(T_a) % 0.70/0.84 | c_lessequals(V_x,V_z,T_a) % 0.70/0.84 | ~ c_lessequals(V_y,V_z,T_a) % 0.70/0.84 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_xt1_I8_J_0,axiom, % 0.70/0.84 ( ~ class_Orderings_Oorder(T_a) % 0.70/0.84 | c_HOL_Oord__class_Oless(V_z,V_x,T_a) % 0.70/0.84 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a) % 0.70/0.84 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_xt1_I7_J_0,axiom, % 0.70/0.84 ( ~ class_Orderings_Oorder(T_a) % 0.70/0.84 | c_HOL_Oord__class_Oless(V_z,V_x,T_a) % 0.70/0.84 | ~ c_lessequals(V_z,V_y,T_a) % 0.70/0.84 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_xt1_I6_J_0,axiom, % 0.70/0.84 ( ~ class_Orderings_Oorder(T_a) % 0.70/0.84 | c_lessequals(V_z,V_x,T_a) % 0.70/0.84 | ~ c_lessequals(V_z,V_y,T_a) % 0.70/0.84 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_add__is__1_5,axiom, % 0.70/0.84 hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))) = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_poly__pCons_0,axiom, % 0.70/0.84 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a) % 0.70/0.84 | hAPP(c_Polynomial_Opoly(c_Polynomial_OpCons(V_a,V_p,T_a),T_a),V_x) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),hAPP(c_Polynomial_Opoly(V_p,T_a),V_x))) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_poly__rec_Osimps_0,axiom, % 0.70/0.84 ( ~ class_HOL_Ozero(T_b) % 0.70/0.84 | c_Polynomial_Opoly__rec(V_z,V_f,c_Polynomial_OpCons(V_a,V_p,T_b),T_a,T_b) = hAPP(hAPP(hAPP(V_f,V_a),V_p),c_HOL_OIf(c_fequal(V_p,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_b)),tc_Polynomial_Opoly(T_b)),V_z,c_Polynomial_Opoly__rec(V_z,V_f,V_p,T_a,T_b),T_a)) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_mult__less__cancel__left__disj_1,axiom, % 0.70/0.84 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.70/0.84 | c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 0.70/0.84 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.70/0.84 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_b),T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_mult__less__cancel__left__disj_2,axiom, % 0.70/0.84 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.70/0.84 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.70/0.84 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.70/0.84 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_b),T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_mult__less__cancel__right__disj_1,axiom, % 0.70/0.84 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.70/0.84 | c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 0.70/0.84 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.70/0.84 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_c),T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_mult__less__cancel__right__disj_2,axiom, % 0.70/0.84 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.70/0.84 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.70/0.84 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.70/0.84 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_c),T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_monom__Suc_0,axiom, % 0.70/0.84 ( ~ class_HOL_Ozero(T_a) % 0.70/0.84 | c_Polynomial_Omonom(V_a,c_Suc(V_n),T_a) = c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(T_a),c_Polynomial_Omonom(V_a,V_n,T_a),T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_neg__0__less__iff__less_0,axiom, % 0.70/0.84 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.70/0.84 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.70/0.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_neg__0__less__iff__less_1,axiom, % 0.70/0.84 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.70/0.84 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) % 0.70/0.84 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_less__minus__self__iff_0,axiom, % 0.70/0.84 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.70/0.84 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.70/0.84 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_less__minus__self__iff_1,axiom, % 0.70/0.84 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.70/0.84 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) % 0.70/0.84 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_monom__eq__iff_0,axiom, % 0.70/0.84 ( ~ class_HOL_Ozero(T_a) % 0.70/0.84 | c_Polynomial_Omonom(V_a,V_n,T_a) != c_Polynomial_Omonom(V_b,V_n,T_a) % 0.70/0.84 | V_a = V_b ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_minus__add_0,axiom, % 0.70/0.84 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.70/0.84 | c_HOL_Ouminus__class_Ouminus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),T_a) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a)),c_HOL_Ouminus__class_Ouminus(V_a,T_a)) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_minus__add__distrib_0,axiom, % 0.70/0.84 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.70/0.84 | c_HOL_Ouminus__class_Ouminus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),T_a) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a)),c_HOL_Ouminus__class_Ouminus(V_b,T_a)) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_order__less__asym_H_0,axiom, % 0.70/0.84 ( ~ class_Orderings_Opreorder(T_a) % 0.70/0.84 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 0.70/0.84 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_order__less__asym_0,axiom, % 0.70/0.84 ( ~ class_Orderings_Opreorder(T_a) % 0.70/0.84 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 0.70/0.84 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_linorder__linear_0,axiom, % 0.70/0.84 ( ~ class_Orderings_Olinorder(T_a) % 0.70/0.84 | c_lessequals(V_y,V_x,T_a) % 0.70/0.84 | c_lessequals(V_x,V_y,T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_real__le__linear_0,axiom, % 0.70/0.84 ( c_lessequals(V_w,V_z,tc_RealDef_Oreal) % 0.70/0.84 | c_lessequals(V_z,V_w,tc_RealDef_Oreal) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_not__less__iff__gr__or__eq_1,axiom, % 0.70/0.84 ( ~ class_Orderings_Olinorder(T_a) % 0.70/0.84 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.70/0.84 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_xt1_I9_J_0,axiom, % 0.70/0.84 ( ~ class_Orderings_Oorder(T_a) % 0.70/0.84 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.70/0.84 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_degree__pCons__eq_0,axiom, % 0.70/0.84 ( ~ class_HOL_Ozero(T_a) % 0.70/0.84 | c_Polynomial_Odegree(c_Polynomial_OpCons(V_a,V_p,T_a),T_a) = c_Suc(c_Polynomial_Odegree(V_p,T_a)) % 0.70/0.84 | V_p = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_degree__offset__poly_0,axiom, % 0.70/0.84 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a) % 0.70/0.84 | c_Polynomial_Odegree(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(V_p,V_h,T_a),T_a) = c_Polynomial_Odegree(V_p,T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_offset__poly__0_0,axiom, % 0.70/0.84 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a) % 0.70/0.84 | c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_h,T_a) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_mult__1__right_0,axiom, % 0.70/0.84 ( ~ class_OrderedGroup_Omonoid__mult(T_a) % 0.70/0.84 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),c_HOL_Oone__class_Oone(T_a)) = V_a ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_mult__1__left_0,axiom, % 0.70/0.84 ( ~ class_OrderedGroup_Omonoid__mult(T_a) % 0.70/0.84 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_HOL_Oone__class_Oone(T_a)),V_a) = V_a ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_mult__1_0,axiom, % 0.70/0.84 ( ~ class_OrderedGroup_Ocomm__monoid__mult(T_a) % 0.70/0.84 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_HOL_Oone__class_Oone(T_a)),V_a) = V_a ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_class__semiring_Omul__1_0,axiom, % 0.70/0.84 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.70/0.84 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_HOL_Oone__class_Oone(T_a)),V_x) = V_x ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_class__semiring_Osemiring__rules_I12_J_0,axiom, % 0.70/0.84 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.70/0.84 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),c_HOL_Oone__class_Oone(T_a)) = V_a ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_class__semiring_Osemiring__rules_I11_J_0,axiom, % 0.70/0.84 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.70/0.84 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_HOL_Oone__class_Oone(T_a)),V_a) = V_a ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_add__is__1_4,axiom, % 0.70/0.84 hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),c_HOL_Ozero__class_Ozero(tc_nat)) = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_Suc__eq__plus1__left_0,axiom, % 0.70/0.84 c_Suc(V_n) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Oone__class_Oone(tc_nat)),V_n) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_Suc__eq__plus1_0,axiom, % 0.70/0.84 c_Suc(V_n) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),c_HOL_Oone__class_Oone(tc_nat)) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_neg__less__0__iff__less_1,axiom, % 0.70/0.84 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.70/0.84 | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.70/0.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_neg__less__0__iff__less_0,axiom, % 0.70/0.84 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.70/0.84 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.70/0.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_class__ringb_Oadd__mul__solve_1,axiom, % 0.70/0.84 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.70/0.84 | ~ class_Int_Onumber__ring(T_a) % 0.70/0.84 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_y)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_z)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_z)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_y)) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_class__ringb_Onoteq__reduce_1,axiom, % 0.70/0.84 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.70/0.84 | ~ class_Int_Onumber__ring(T_a) % 0.70/0.84 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_c)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_d)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_d)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_c)) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_offset__poly__pCons_0,axiom, % 0.70/0.84 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a) % 0.70/0.84 | c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(c_Polynomial_OpCons(V_a,V_p,T_a),V_h,T_a) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Polynomial_Opoly(T_a)),c_Polynomial_Osmult(V_h,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(V_p,V_h,T_a),T_a)),c_Polynomial_OpCons(V_a,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(V_p,V_h,T_a),T_a)) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_class__semiring_Opwr__Suc_0,axiom, % 0.70/0.84 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.70/0.84 | hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),c_Suc(V_n)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_n)) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_power__Suc2_0,axiom, % 0.70/0.84 ( ~ class_OrderedGroup_Omonoid__mult(T_a) % 0.70/0.84 | hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),c_Suc(V_n)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),V_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_power__Suc_0,axiom, % 0.70/0.84 ( ~ class_Power_Opower(T_a) % 0.70/0.84 | hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),c_Suc(V_n)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_class__semiring_Osemiring__rules_I35_J_0,axiom, % 0.70/0.84 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.70/0.84 | hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),c_Suc(V_q)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_q)) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_comm__monoid__add_Opower__Suc_0,axiom, % 0.70/0.84 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.70/0.84 | hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(T_a),T_a),V_a),c_Suc(V_n)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(T_a),T_a),V_a),V_n)) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_comm__monoid__add_Opower__Suc2_0,axiom, % 0.70/0.84 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.70/0.84 | hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(T_a),T_a),V_a),c_Suc(V_n)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(T_a),T_a),V_a),V_n)),V_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_class__semiring_Omul__c_0,axiom, % 0.70/0.84 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.70/0.84 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_y) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_y),V_x) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_add__is__0_2,axiom, % 0.70/0.84 hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Ozero__class_Ozero(tc_nat) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_class__semiring_Osemiring__rules_I7_J_0,axiom, % 0.70/0.84 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.70/0.84 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_zero__less__power__eq_2,axiom, % 0.70/0.84 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.70/0.84 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) % 0.70/0.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_n),T_a) % 0.70/0.84 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_xt1_I10_J_0,axiom, % 0.70/0.84 ( ~ class_Orderings_Oorder(T_a) % 0.70/0.84 | c_HOL_Oord__class_Oless(V_z,V_x,T_a) % 0.70/0.84 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a) % 0.70/0.84 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_order__less__trans_0,axiom, % 0.70/0.84 ( ~ class_Orderings_Opreorder(T_a) % 0.70/0.84 | c_HOL_Oord__class_Oless(V_x,V_z,T_a) % 0.70/0.84 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a) % 0.70/0.84 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_coeff__smult_0,axiom, % 0.70/0.84 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a) % 0.70/0.84 | hAPP(c_Polynomial_Ocoeff(c_Polynomial_Osmult(V_a,V_p,T_a),T_a),V_n) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),hAPP(c_Polynomial_Ocoeff(V_p,T_a),V_n)) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_coeff__monom_1,axiom, % 0.70/0.84 ( ~ class_HOL_Ozero(T_a) % 0.70/0.84 | hAPP(c_Polynomial_Ocoeff(c_Polynomial_Omonom(V_a,V_m,T_a),T_a),V_n) = c_HOL_Ozero__class_Ozero(T_a) % 0.70/0.84 | V_m = V_n ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_nat__add__assoc_0,axiom, % 0.70/0.84 hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n)),V_k) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),V_k)) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_nat__add__left__commute_0,axiom, % 0.70/0.84 hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_x),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_y),V_z)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_y),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_x),V_z)) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_neg__0__equal__iff__equal_0,axiom, % 0.70/0.84 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.70/0.84 | c_HOL_Ozero__class_Ozero(T_a) != c_HOL_Ouminus__class_Ouminus(V_a,T_a) % 0.70/0.84 | c_HOL_Ozero__class_Ozero(T_a) = V_a ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_power__add_0,axiom, % 0.70/0.84 ( ~ class_OrderedGroup_Omonoid__mult(T_a) % 0.70/0.84 | hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_m)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_less__le__not__le_1,axiom, % 0.70/0.84 ( ~ class_Orderings_Opreorder(T_a) % 0.70/0.84 | ~ c_lessequals(V_y,V_x,T_a) % 0.70/0.84 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_not__leE_0,axiom, % 0.70/0.84 ( ~ class_Orderings_Olinorder(T_a) % 0.70/0.84 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.70/0.84 | c_lessequals(V_y,V_x,T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_linorder__antisym__conv2_1,axiom, % 0.70/0.84 ( ~ class_Orderings_Olinorder(T_a) % 0.70/0.84 | ~ c_lessequals(V_x,V_x,T_a) % 0.70/0.84 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_linorder__antisym__conv1_1,axiom, % 0.70/0.84 ( ~ class_Orderings_Olinorder(T_a) % 0.70/0.84 | c_HOL_Oord__class_Oless(V_x,V_x,T_a) % 0.70/0.84 | c_lessequals(V_x,V_x,T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_linorder__not__less_1,axiom, % 0.70/0.84 ( ~ class_Orderings_Olinorder(T_a) % 0.70/0.84 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.70/0.84 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_linorder__not__less_0,axiom, % 0.70/0.84 ( ~ class_Orderings_Olinorder(T_a) % 0.70/0.84 | c_lessequals(V_y,V_x,T_a) % 0.70/0.84 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_linorder__not__le_0,axiom, % 0.70/0.84 ( ~ class_Orderings_Olinorder(T_a) % 0.70/0.84 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 0.70/0.84 | c_lessequals(V_x,V_y,T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_linorder__not__le_1,axiom, % 0.70/0.84 ( ~ class_Orderings_Olinorder(T_a) % 0.70/0.84 | ~ c_lessequals(V_x,V_y,T_a) % 0.70/0.84 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_add__strict__increasing2_0,axiom, % 0.70/0.84 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.70/0.84 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.70/0.84 | c_HOL_Oord__class_Oless(V_b,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),T_a) % 0.70/0.84 | ~ c_HOL_Oord__class_Oless(V_b,V_c,T_a) % 0.70/0.84 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_power__mono_0,axiom, % 0.70/0.84 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.70/0.84 | c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b),V_n),T_a) % 0.70/0.84 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.70/0.84 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_power__less__zero__eq_1,axiom, % 0.70/0.84 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.70/0.84 | c_HOL_Oord__class_Oless(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.70/0.84 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_n),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_power__le__zero__eq_3,axiom, % 0.70/0.84 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.70/0.84 | V_x = c_HOL_Ozero__class_Ozero(T_a) % 0.70/0.84 | c_lessequals(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.70/0.84 | ~ c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_n),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_mult__right__le__imp__le_0,axiom, % 0.70/0.84 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.70/0.84 | c_lessequals(V_a,V_b,T_a) % 0.70/0.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.70/0.84 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_c),T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_mult__left__le__imp__le_0,axiom, % 0.70/0.84 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.70/0.84 | c_lessequals(V_a,V_b,T_a) % 0.70/0.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.70/0.84 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_b),T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_mult__le__cancel__left__pos_1,axiom, % 0.70/0.84 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.70/0.84 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_b),T_a) % 0.70/0.84 | ~ c_lessequals(V_a,V_b,T_a) % 0.70/0.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_mult__le__cancel__left__pos_0,axiom, % 0.70/0.84 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.70/0.84 | c_lessequals(V_a,V_b,T_a) % 0.70/0.84 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_b),T_a) % 0.70/0.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_mult__le__cancel__left__neg_1,axiom, % 0.70/0.84 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.70/0.84 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_b),T_a) % 0.70/0.84 | ~ c_lessequals(V_b,V_a,T_a) % 0.70/0.84 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_mult__le__cancel__left__neg_0,axiom, % 0.70/0.84 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.70/0.84 | c_lessequals(V_b,V_a,T_a) % 0.70/0.84 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_b),T_a) % 0.70/0.84 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_combine__common__factor_0,axiom, % 0.70/0.84 ( ~ class_Ring__and__Field_Osemiring(T_a) % 0.70/0.84 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_e)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_e)),V_c)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),V_e)),V_c) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_sum__squares__le__zero__iff_1,axiom, % 0.70/0.84 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.70/0.84 | V_y = c_HOL_Ozero__class_Ozero(T_a) % 0.70/0.84 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_x)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_y),V_y)),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_sum__squares__le__zero__iff_0,axiom, % 0.70/0.84 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.70/0.84 | V_x = c_HOL_Ozero__class_Ozero(T_a) % 0.70/0.84 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_x)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_y),V_y)),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_add__is__1_0,axiom, % 0.70/0.84 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) % 0.70/0.84 | V_m = c_HOL_Ozero__class_Ozero(tc_nat) % 0.70/0.84 | V_m = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_add__is__1_3,axiom, % 0.70/0.84 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) % 0.70/0.84 | V_n = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) % 0.70/0.84 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_sum__squares__gt__zero__iff_2,axiom, % 0.70/0.84 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.70/0.84 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_x)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_y),V_y)),T_a) % 0.70/0.84 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_sum__squares__gt__zero__iff_1,axiom, % 0.70/0.84 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.70/0.84 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_x)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_y),V_y)),T_a) % 0.70/0.84 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_poly__smult_0,axiom, % 0.70/0.84 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a) % 0.70/0.84 | hAPP(c_Polynomial_Opoly(c_Polynomial_Osmult(V_a,V_p,T_a),T_a),V_x) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),hAPP(c_Polynomial_Opoly(V_p,T_a),V_x)) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_of__nat__less__0__iff_0,axiom, % 0.70/0.84 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.70/0.84 | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_add__cancel__end_0,axiom, % 0.70/0.84 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.70/0.84 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_y),V_z)) != V_y % 0.70/0.84 | V_x = c_HOL_Ouminus__class_Ouminus(V_z,T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_mult__strict__left__mono__comm_0,axiom, % 0.70/0.84 ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(T_a) % 0.70/0.84 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_b),T_a) % 0.70/0.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.70/0.84 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_mult__less__cancel__right__disj_5,axiom, % 0.70/0.84 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.70/0.84 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_c),T_a) % 0.70/0.84 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 0.70/0.84 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_mult__less__cancel__right__disj_4,axiom, % 0.70/0.84 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.70/0.84 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_c),T_a) % 0.70/0.84 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.70/0.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_mult__strict__right__mono_0,axiom, % 0.70/0.84 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.70/0.84 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_c),T_a) % 0.70/0.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.70/0.84 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_mult__strict__right__mono__neg_0,axiom, % 0.70/0.84 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.70/0.84 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_c),T_a) % 0.70/0.84 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.70/0.84 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_mult__less__cancel__left__disj_5,axiom, % 0.70/0.84 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.70/0.84 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_b),T_a) % 0.70/0.84 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 0.70/0.84 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_mult__less__cancel__left__disj_4,axiom, % 0.70/0.84 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.70/0.84 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_b),T_a) % 0.70/0.84 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.70/0.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_mult__strict__left__mono_0,axiom, % 0.70/0.84 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.70/0.84 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_b),T_a) % 0.70/0.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.70/0.84 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_mult__strict__left__mono__neg_0,axiom, % 0.70/0.84 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.70/0.84 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_b),T_a) % 0.70/0.84 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.70/0.84 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_mult__less__cancel__left__pos_1,axiom, % 0.70/0.84 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.70/0.84 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_b),T_a) % 0.70/0.84 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.70/0.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_mult__less__cancel__left__pos_0,axiom, % 0.70/0.84 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.70/0.84 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.70/0.84 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_b),T_a) % 0.70/0.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_mult__less__cancel__left__neg_1,axiom, % 0.70/0.84 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.70/0.84 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_b),T_a) % 0.70/0.84 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 0.70/0.84 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_mult__less__cancel__left__neg_0,axiom, % 0.70/0.84 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.70/0.84 | c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 0.70/0.84 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_b),T_a) % 0.70/0.84 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_smult__smult_0,axiom, % 0.70/0.84 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a) % 0.70/0.84 | c_Polynomial_Osmult(V_a,c_Polynomial_Osmult(V_b,V_p,T_a),T_a) = c_Polynomial_Osmult(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b),V_p,T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_zero__le__imp__of__nat_0,axiom, % 0.70/0.84 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.70/0.84 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a),T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_of__nat__0__le__iff_0,axiom, % 0.70/0.84 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.70/0.84 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a),T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_add__poly__code_I1_J_0,axiom, % 0.70/0.84 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.70/0.84 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Polynomial_Opoly(T_a)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))),V_q) = V_q ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_add__poly__code_I2_J_0,axiom, % 0.70/0.84 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.70/0.84 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Polynomial_Opoly(T_a)),V_p),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))) = V_p ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_natgb_Oadd__r0__iff_1,axiom, % 0.70/0.84 V_x = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_x),c_HOL_Ozero__class_Ozero(tc_nat)) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_Nat_Oadd__0__right_0,axiom, % 0.70/0.84 hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),c_HOL_Ozero__class_Ozero(tc_nat)) = V_m ). % 0.70/0.84 % 0.70/0.84 cnf(cls_plus__nat_Oadd__0_0,axiom, % 0.70/0.84 hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),V_n) = V_n ). % 0.70/0.84 % 0.70/0.84 cnf(cls_less__1__mult_0,axiom, % 0.70/0.84 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.70/0.84 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_m),V_n),T_a) % 0.70/0.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_n,T_a) % 0.70/0.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_m,T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_minus__equation__iff_1,axiom, % 0.70/0.84 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.70/0.84 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) = V_b ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_equation__minus__iff_1,axiom, % 0.70/0.84 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.70/0.84 | V_a = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_equation__minus__iff_0,axiom, % 0.70/0.84 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.70/0.84 | V_b = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_double__compl_0,axiom, % 0.70/0.84 ( ~ class_Lattices_Oboolean__algebra(T_a) % 0.70/0.84 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_x,T_a),T_a) = V_x ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_minus__minus_0,axiom, % 0.70/0.84 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.70/0.84 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) = V_a ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_add__less__le__mono_0,axiom, % 0.70/0.84 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a) % 0.70/0.84 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_d),T_a) % 0.70/0.84 | ~ c_lessequals(V_c,V_d,T_a) % 0.70/0.84 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_add__le__less__mono_0,axiom, % 0.70/0.84 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a) % 0.70/0.84 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_d),T_a) % 0.70/0.84 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a) % 0.70/0.84 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_minus__less__iff_1,axiom, % 0.70/0.84 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.70/0.84 | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) % 0.70/0.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_minus__less__iff_0,axiom, % 0.70/0.84 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.70/0.84 | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a) % 0.70/0.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_less__minus__iff_1,axiom, % 0.70/0.84 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.70/0.84 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) % 0.70/0.84 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_less__minus__iff_0,axiom, % 0.70/0.84 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.70/0.84 | c_HOL_Oord__class_Oless(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) % 0.70/0.84 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_minus__le__iff_1,axiom, % 0.70/0.84 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.70/0.84 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) % 0.70/0.84 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_minus__le__iff_0,axiom, % 0.70/0.84 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.70/0.84 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a) % 0.70/0.84 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_le__minus__iff_1,axiom, % 0.70/0.84 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.70/0.84 | c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) % 0.70/0.84 | ~ c_lessequals(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_le__minus__iff_0,axiom, % 0.70/0.84 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.70/0.84 | c_lessequals(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) % 0.70/0.84 | ~ c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_class__semiring_Osemiring__rules_I5_J_0,axiom, % 0.70/0.84 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.70/0.84 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a) = V_a ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_class__semiring_Osemiring__rules_I6_J_0,axiom, % 0.70/0.84 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.70/0.84 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)) = V_a ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_comm__monoid__add_Omult__1_0,axiom, % 0.70/0.84 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.70/0.84 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a) = V_a ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_class__semiring_Oadd__0_0,axiom, % 0.70/0.84 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.70/0.84 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_x) = V_x ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_class__ringb_Oadd__r0__iff_1,axiom, % 0.70/0.84 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.70/0.84 | ~ class_Int_Onumber__ring(T_a) % 0.70/0.84 | V_x = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),c_HOL_Ozero__class_Ozero(T_a)) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_comm__monoid__add_Omult__1__right_0,axiom, % 0.70/0.84 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.70/0.84 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)) = V_a ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_add__0__left_0,axiom, % 0.70/0.84 ( ~ class_OrderedGroup_Omonoid__add(T_a) % 0.70/0.84 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a) = V_a ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_monoid__add__class_Oadd__0__right_0,axiom, % 0.70/0.84 ( ~ class_OrderedGroup_Omonoid__add(T_a) % 0.70/0.84 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)) = V_a ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_pc0_0,axiom, % 0.70/0.84 hAPP(c_Polynomial_Opoly(v_pa____,tc_Complex_Ocomplex),v_c____) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_poly__offset_0,axiom, % 0.70/0.84 c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__offset__1(V_a,V_p),tc_Complex_Ocomplex) = c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(V_p,tc_Complex_Ocomplex) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_poly__decompose__lemma_0,axiom, % 0.70/0.84 ( ~ class_Ring__and__Field_Oidom(t_a) % 0.70/0.84 | v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__decompose__lemma__2(V_p) != c_HOL_Ozero__class_Ozero(t_a) % 0.70/0.84 | hAPP(c_Polynomial_Opoly(V_p,t_a),V_z) = c_HOL_Ozero__class_Ozero(t_a) % 0.70/0.84 | V_z = c_HOL_Ozero__class_Ozero(t_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_degree__0_0,axiom, % 0.70/0.84 ( ~ class_HOL_Ozero(T_a) % 0.70/0.84 | c_Polynomial_Odegree(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),T_a) = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_coeff__0_0,axiom, % 0.70/0.84 ( ~ class_HOL_Ozero(T_a) % 0.70/0.84 | hAPP(c_Polynomial_Ocoeff(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),T_a),V_n) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_add__neg__neg_0,axiom, % 0.70/0.84 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 0.70/0.84 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.70/0.84 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.70/0.84 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_left__minus_0,axiom, % 0.70/0.84 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.70/0.84 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a)),V_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_right__minus_0,axiom, % 0.70/0.84 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.70/0.84 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a)) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_ab__left__minus_0,axiom, % 0.70/0.84 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.70/0.84 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a)),V_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_eq__neg__iff__add__eq__0_0,axiom, % 0.70/0.84 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.70/0.84 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a)),V_b) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_power__eq__0__iff_1,axiom, % 0.70/0.84 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a) % 0.70/0.84 | ~ class_Ring__and__Field_Ono__zero__divisors(T_a) % 0.70/0.84 | ~ class_Ring__and__Field_Omult__zero(T_a) % 0.70/0.84 | ~ class_Power_Opower(T_a) % 0.70/0.84 | hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),c_HOL_Ozero__class_Ozero(tc_nat)) != c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_class__semiring_Osemiring__rules_I21_J_0,axiom, % 0.70/0.84 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.70/0.84 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c)) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_class__semiring_Osemiring__rules_I22_J_0,axiom, % 0.70/0.84 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.70/0.84 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_d)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_d)) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_class__semiring_Osemiring__rules_I23_J_0,axiom, % 0.70/0.84 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.70/0.84 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c)),V_b) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_class__semiring_Osemiring__rules_I25_J_0,axiom, % 0.70/0.84 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.70/0.84 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_d)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c)),V_d) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_ab__semigroup__add__class_Oadd__ac_I1_J_0,axiom, % 0.70/0.84 ( ~ class_OrderedGroup_Oab__semigroup__add(T_a) % 0.70/0.84 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c)) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_add__cancel__21_1,axiom, % 0.70/0.84 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.70/0.84 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_y),V_z)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_y),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_z)) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_class__semiring_Oadd__a_0,axiom, % 0.70/0.84 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.70/0.84 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_y),V_z)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_y)),V_z) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_comm__monoid__add_Omult__assoc_0,axiom, % 0.70/0.84 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.70/0.84 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c)) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_comm__monoid__add_Omult__left__commute_0,axiom, % 0.70/0.84 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.70/0.84 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c)) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_double__eq__0__iff_1,axiom, % 0.70/0.84 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.70/0.84 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Ozero__class_Ozero(T_a)) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_add__nonneg__eq__0__iff_2,axiom, % 0.70/0.84 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 0.70/0.84 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.70/0.84 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.70/0.84 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Ozero__class_Ozero(T_a)) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_pcompose__0_0,axiom, % 0.70/0.84 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a) % 0.70/0.84 | c_Polynomial_Opcompose(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_q,T_a) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ). % 0.70/0.84 % 0.70/0.84 cnf(cls_monom__eq__0_0,axiom, % 0.70/0.84 ( ~ class_HOL_Ozero(T_a) % 0.70/0.84 | c_Polynomial_Omonom(c_HOL_Ozero__class_Ozero(T_a),V_n,T_a) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ). % 0.70/0.84 % 0.70/0.85 cnf(cls_poly__offset__poly_0,axiom, % 0.70/0.85 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a) % 0.70/0.85 | hAPP(c_Polynomial_Opoly(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(V_p,V_h,T_a),T_a),V_x) = hAPP(c_Polynomial_Opoly(V_p,T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_h),V_x)) ) ). % 0.70/0.85 % 0.70/0.85 cnf(cls_add__increasing_0,axiom, % 0.70/0.85 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.70/0.85 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.70/0.85 | c_lessequals(V_b,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),T_a) % 0.70/0.85 | ~ c_lessequals(V_b,V_c,T_a) % 0.70/0.85 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.70/0.85 % 0.70/0.85 cnf(cls_add__increasing2_0,axiom, % 0.70/0.85 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.70/0.85 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.70/0.85 | c_lessequals(V_b,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),T_a) % 0.70/0.85 | ~ c_lessequals(V_b,V_a,T_a) % 0.70/0.85 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 0.70/0.85 % 0.70/0.85 cnf(cls_class__ringb_Oadd__r0__iff_0,axiom, % 0.70/0.85 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.70/0.85 | ~ class_Int_Onumber__ring(T_a) % 0.70/0.85 | V_x != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_a) % 0.70/0.85 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.70/0.85 % 0.70/0.85 cnf(cls_double__eq__0__iff_0,axiom, % 0.70/0.85 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.70/0.85 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.70/0.85 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.70/0.85 % 0.70/0.85 cnf(cls_add__nonneg__eq__0__iff_0,axiom, % 0.70/0.85 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 0.70/0.85 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_y) != c_HOL_Ozero__class_Ozero(T_a) % 0.70/0.85 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) % 0.70/0.85 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) % 0.70/0.85 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.70/0.85 % 0.70/0.85 cnf(cls_add__nonneg__eq__0__iff_1,axiom, % 0.70/0.85 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 0.70/0.85 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_y) != c_HOL_Ozero__class_Ozero(T_a) % 0.70/0.85 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) % 0.70/0.85 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) % 0.70/0.85 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.70/0.85 % 0.70/0.85 cnf(cls_even__less__0__iff_1,axiom, % 0.70/0.85 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.70/0.85 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.70/0.85 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.70/0.85 % 0.70/0.85 cnf(cls_even__less__0__iff_0,axiom, % 0.70/0.85 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.70/0.85 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.70/0.85 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.70/0.85 % 0.70/0.85 cnf(cls_double__add__less__zero__iff__single__less__zero_0,axiom, % 0.70/0.85 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.70/0.85 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.70/0.85 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.70/0.85 % 0.70/0.85 cnf(cls_double__add__less__zero__iff__single__less__zero_1,axiom, % 0.70/0.85 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.70/0.85 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.70/0.85 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.70/0.85 % 0.70/0.85 cnf(cls_c_0,axiom, % 0.70/0.85 c_lessequals(c_RealVector_Onorm__class_Onorm(hAPP(c_Polynomial_Opoly(v_pa____,tc_Complex_Ocomplex),v_c____),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(hAPP(c_Polynomial_Opoly(v_pa____,tc_Complex_Ocomplex),V_w),tc_Complex_Ocomplex),tc_RealDef_Oreal) ). % 0.70/0.85 % 0.70/0.85 cnf(cls_poly__rec__0_0,axiom, % 0.70/0.85 ( ~ class_HOL_Ozero(T_b) % 0.70/0.85 | hAPP(hAPP(hAPP(V_f,c_HOL_Ozero__class_Ozero(T_b)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_b))),V_z) != V_z % 0.70/0.85 | c_Polynomial_Opoly__rec(V_z,V_f,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_b)),T_a,T_b) = V_z ) ). % 0.70/0.85 % 0.70/0.85 cnf(cls_order__root_2,axiom, % 0.70/0.85 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.70/0.85 | hAPP(c_Polynomial_Opoly(V_p,T_a),V_a) = c_HOL_Ozero__class_Ozero(T_a) % 0.70/0.85 | c_Polynomial_Oorder(V_a,V_p,T_a) = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 0.70/0.85 % 0.70/0.85 cnf(cls_power__eq__0__iff_2,axiom, % 0.70/0.85 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a) % 0.70/0.85 | ~ class_Ring__and__Field_Ono__zero__divisors(T_a) % 0.70/0.85 | ~ class_Ring__and__Field_Omult__zero(T_a) % 0.70/0.85 | ~ class_Power_Opower(T_a) % 0.70/0.85 | hAPP(hAPP(c_Power_Opower__class_Opower(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_n) = c_HOL_Ozero__class_Ozero(T_a) % 0.70/0.85 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 0.70/0.85 % 0.70/0.85 cnf(cls_power__0__left_1,axiom, % 0.70/0.85 ( ~ class_Ring__and__Field_Osemiring__0(T_a) % 0.70/0.85 | ~ class_Power_Opower(T_a) % 0.70/0.85 | hAPP(hAPP(c_Power_Opower__class_Opower(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_n) = c_HOL_Ozero__class_Ozero(T_a) % 0.70/0.85 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 0.70/0.85 % 0.70/0.85 cnf(cls_comm__monoid__add_Opower__commutes_0,axiom, % 0.70/0.85 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.70/0.85 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(T_a),T_a),V_a),V_n)),V_a) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(T_a),T_a),V_a),V_n)) ) ). % 0.70/0.85 % 0.70/0.85 cnf(cls_pos__add__strict_0,axiom, % 0.70/0.85 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.70/0.85 | c_HOL_Oord__class_Oless(V_b,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),T_a) % 0.70/0.85 | ~ c_HOL_Oord__class_Oless(V_b,V_c,T_a) % 0.70/0.85 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.70/0.85 % 0.70/0.85 cnf(cls_class__ringb_Oadd__scale__eq__noteq_0,axiom, % 0.70/0.85 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.70/0.85 | ~ class_Int_Onumber__ring(T_a) % 0.70/0.85 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_r),V_c)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_r),V_d)) % 0.70/0.85 | V_c = V_d % 0.70/0.85 | V_r = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.70/0.85 % 0.70/0.85 cnf(cls_sum__squares__eq__zero__iff_0,axiom, % 0.70/0.85 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.70/0.85 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_x)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_y),V_y)) != c_HOL_Ozero__class_Ozero(T_a) % 0.70/0.85 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.70/0.85 % 0.70/0.85 cnf(cls_sum__squares__eq__zero__iff_1,axiom, % 0.70/0.85 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.70/0.85 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_x)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_y),V_y)) != c_HOL_Ozero__class_Ozero(T_a) % 0.70/0.85 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.70/0.85 % 0.70/0.85 cnf(cls_monom__eq__0__iff_0,axiom, % 0.70/0.85 ( ~ class_HOL_Ozero(T_a) % 0.70/0.85 | c_Polynomial_Omonom(V_a,V_n,T_a) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) % 0.70/0.85 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.70/0.85 % 0.70/0.85 cnf(cls_zero__less__double__add__iff__zero__less__single__add_0,axiom, % 0.70/0.85 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.70/0.85 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.70/0.85 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a),T_a) ) ). % 0.70/0.85 % 0.70/0.85 cnf(cls_zero__less__double__add__iff__zero__less__single__add_1,axiom, % 0.70/0.85 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.70/0.85 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a),T_a) % 0.70/0.85 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.70/0.85 % 0.70/0.85 cnf(cls_class__semiring_Osemiring__rules_I20_J_0,axiom, % 0.70/0.85 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.70/0.85 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_d)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_d)) ) ). % 0.70/0.85 % 0.70/0.85 cnf(cls_order__root_1,axiom, % 0.70/0.85 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.70/0.85 | hAPP(c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),T_a),V_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.70/0.85 % 0.70/0.85 cnf(cls_poly__0_0,axiom, % 0.70/0.85 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a) % 0.70/0.85 | hAPP(c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),T_a),V_x) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.70/0.85 % 0.70/0.85 cnf(cls_class__ringb_Oadd__cancel_0,axiom, % 0.70/0.85 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.70/0.85 | ~ class_Int_Onumber__ring(T_a) % 0.70/0.85 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_y) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_z) % 0.70/0.85 | V_y = V_z ) ). % 0.70/0.85 % 0.70/0.85 cnf(cls_add__imp__eq_0,axiom, % 0.70/0.85 ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(T_a) % 0.70/0.85 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c) % 0.70/0.85 | V_b = V_c ) ). % 0.70/0.85 % 0.70/0.85 cnf(cls_add__left__cancel_0,axiom, % 0.70/0.85 ( ~ class_OrderedGroup_Ocancel__semigroup__add(T_a) % 0.70/0.85 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c) % 0.70/0.85 | V_b = V_c ) ). % 0.70/0.85 % 0.70/0.85 cnf(cls_add__right__cancel_0,axiom, % 0.70/0.85 ( ~ class_OrderedGroup_Ocancel__semigroup__add(T_a) % 0.70/0.85 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_a) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_a) % 0.70/0.85 | V_b = V_c ) ). % 0.70/0.85 % 0.70/0.85 cnf(cls_pCons__0__0_0,axiom, % 0.70/0.85 ( ~ class_HOL_Ozero(T_a) % 0.70/0.85 | 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)) ) ). % 0.70/0.85 % 0.70/0.85 cnf(cls_of__nat__0_0,axiom, % 0.70/0.85 ( ~ class_Ring__and__Field_Osemiring__1(T_a) % 0.70/0.85 | c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.70/0.85 % 0.70/0.85 cnf(cls_smult__eq__0__iff_0,axiom, % 0.70/0.85 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.70/0.85 | c_Polynomial_Osmult(V_a,V_p,T_a) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) % 0.70/0.85 | V_p = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) % 0.70/0.85 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.70/0.85 % 0.70/0.85 cnf(cls_add__cancel__21_0,axiom, % 0.70/0.85 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.70/0.85 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_y),V_z)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_y),V_u) % 0.70/0.85 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_z) = V_u ) ). % 0.70/0.85 % 0.70/0.85 cnf(cls_n_0,axiom, % 0.70/0.85 v_n____ = c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(v_pa____,tc_Complex_Ocomplex) ). % 0.70/0.85 % 0.70/0.85 cnf(cls_psize__def_0,axiom, % 0.70/0.85 ( ~ class_HOL_Ozero(T_a) % 0.70/0.85 | c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),T_a) = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 0.70/0.85 % 0.70/0.85 cnf(cls_add__nonneg__nonneg_0,axiom, % 0.70/0.85 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 0.70/0.85 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),T_a) % 0.70/0.85 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.70/0.85 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.70/0.85 % 0.70/0.85 cnf(cls_comm__monoid__add_Opower__mult__distrib_0,axiom, % 0.70/0.85 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.70/0.85 | hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(T_a),T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),V_n) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(T_a),T_a),V_a),V_n)),hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(T_a),T_a),V_b),V_n)) ) ). % 0.70/0.85 % 0.70/0.85 cnf(cls_zero__le__double__add__iff__zero__le__single__add_0,axiom, % 0.70/0.85 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.70/0.85 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.70/0.85 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a),T_a) ) ). % 0.70/0.85 % 0.70/0.85 cnf(cls_zero__le__double__add__iff__zero__le__single__add_1,axiom, % 0.70/0.85 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.70/0.85 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a),T_a) % 0.70/0.85 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.70/0.85 % 0.70/0.85 cnf(cls_poly__add_0,axiom, % 0.70/0.85 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a) % 0.70/0.85 | hAPP(c_Polynomial_Opoly(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Polynomial_Opoly(T_a)),V_p),V_q),T_a),V_x) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(c_Polynomial_Opoly(V_p,T_a),V_x)),hAPP(c_Polynomial_Opoly(V_q,T_a),V_x)) ) ). % 0.70/0.85 % 0.70/0.85 cnf(cls_psize__eq__0__iff_0,axiom, % 0.70/0.85 ( ~ class_HOL_Ozero(T_a) % 0.70/0.85 | c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(V_p,T_a) != c_HOL_Ozero__class_Ozero(tc_nat) % 0.70/0.85 | V_p = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ). % 0.70/0.85 % 0.70/0.85 cnf(cls_class__semiring_Osemiring__rules_I24_J_0,axiom, % 0.70/0.85 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.70/0.85 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_a) ) ). % 0.70/0.85 % 0.70/0.85 cnf(cls_class__semiring_Oadd__c_0,axiom, % 0.70/0.85 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.70/0.85 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_y) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_y),V_x) ) ). % 0.70/0.85 % 0.70/0.85 cnf(cls_comm__monoid__add_Omult__commute_0,axiom, % 0.70/0.85 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.70/0.85 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_a) ) ). % 0.70/0.85 % 0.70/0.85 cnf(cls_pCons__eq__0__iff_0,axiom, % 0.70/0.85 ( ~ class_HOL_Ozero(T_a) % 0.70/0.85 | c_Polynomial_OpCons(V_a,V_p,T_a) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) % 0.70/0.85 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.70/0.85 % 0.70/0.85 cnf(cls_foldl__absorb0_0,axiom, % 0.70/0.85 ( ~ class_OrderedGroup_Omonoid__add(T_a) % 0.70/0.85 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),c_List_Ofoldl(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a),V_zs,T_a,T_a)) = c_List_Ofoldl(c_HOL_Oplus__class_Oplus(T_a),V_x,V_zs,T_a,T_a) ) ). % 0.70/0.85 % 0.70/0.85 cnf(cls_minus__unique_0,axiom, % 0.70/0.85 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.70/0.85 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b) != c_HOL_Ozero__class_Ozero(T_a) % 0.70/0.85 | c_HOL_Ouminus__class_Ouminus(V_a,T_a) = V_b ) ). % 0.70/0.85 % 0.70/0.85 cnf(cls_eq__neg__iff__add__eq__0_1,axiom, % 0.70/0.85 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.70/0.85 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b) != c_HOL_Ozero__class_Ozero(T_a) % 0.70/0.85 | V_a = c_HOL_Ouminus__class_Ouminus(V_b,T_a) ) ). % 0.70/0.85 % 0.70/0.85 cnf(cls_calculation_0,axiom, % 0.70/0.85 ( hAPP(c_Polynomial_Opoly(v_pa____,tc_Complex_Ocomplex),v_c____) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) % 0.70/0.85 | hAPP(c_Polynomial_Opoly(v_pa____,tc_Complex_Ocomplex),v_sko__unknown__thm__rrS__1(v_pa____)) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ). % 0.70/0.85 % 0.70/0.85 cnf(cls_psize__def__raw_0,axiom, % 0.70/0.85 ( ~ class_HOL_Ozero(t_a) % 0.70/0.85 | c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(v_p,t_a) = c_HOL_OIf(c_fequal(v_p,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)),tc_Polynomial_Opoly(t_a)),c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_Polynomial_Odegree(v_p,t_a)),tc_nat) ) ). % 0.70/0.85 % 0.70/0.85 cnf(cls_comm__monoid__add_Opower__one_0,axiom, % 0.70/0.85 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.70/0.85 | hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(T_a),T_a),c_HOL_Ozero__class_Ozero(T_a)),V_n) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.70/0.85 % 0.70/0.85 cnf(cls_comm__monoid__add_Opower__0_0,axiom, % 0.70/0.85 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.70/0.85 | hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(T_a),T_a),V_a),c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.70/0.85 % 0.70/0.85 cnf(cls_add__pos__pos_0,axiom, % 0.70/0.85 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 0.70/0.85 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),T_a) % 0.70/0.85 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.70/0.85 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.70/0.85 % 0.70/0.85 cnf(cls_poly__decompose_3,axiom, % 0.70/0.85 ( ~ class_Ring__and__Field_Oidom(t_a) % 0.70/0.85 | hAPP(c_Polynomial_Opoly(V_p,t_a),V_z) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(t_a),hAPP(c_Polynomial_Opoly(V_p,t_a),c_HOL_Ozero__class_Ozero(t_a))),hAPP(hAPP(c_HOL_Otimes__class_Otimes(t_a),hAPP(hAPP(c_Power_Opower__class_Opower(t_a),V_z),v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__decompose__1(V_p))),hAPP(c_Polynomial_Opoly(c_Polynomial_OpCons(v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__decompose__2(V_p),v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__decompose__3(V_p),t_a),t_a),V_z))) % 0.70/0.85 | c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(c_Polynomial_Opoly(V_p,t_a),t_a,t_a) ) ). % 0.70/0.85 % 0.70/0.85 cnf(cls_comm__monoid__add__class_Oaxioms_0,axiom, % 0.70/0.85 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.70/0.85 | c_OrderedGroup_Ocomm__monoid__add__axioms(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(T_a),T_a) ) ). % 0.70/0.85 % 0.70/0.85 cnf(cls_poly__offset_1,axiom, % 0.70/0.85 hAPP(c_Polynomial_Opoly(v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__offset__1(V_a,V_p),tc_Complex_Ocomplex),V_q) = hAPP(c_Polynomial_Opoly(V_p,tc_Complex_Ocomplex),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Complex_Ocomplex),V_a),V_q)) ). % 0.70/0.85 % 0.70/0.85 cnf(cls_monoid__add__class_Oaxioms_0,axiom, % 0.70/0.85 ( ~ class_OrderedGroup_Omonoid__add(T_a) % 0.70/0.85 | c_OrderedGroup_Omonoid__add__axioms(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(T_a),T_a) ) ). % 0.70/0.85 % 0.70/0.85 cnf(cls_poly__decompose_2,axiom, % 0.70/0.85 ( ~ class_Ring__and__Field_Oidom(t_a) % 0.70/0.85 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__decompose__3(V_p),t_a)),v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__decompose__1(V_p))),c_HOL_Oone__class_Oone(tc_nat)) = c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(V_p,t_a) % 0.70/0.85 | c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(c_Polynomial_Opoly(V_p,t_a),t_a,t_a) ) ). % 0.70/0.85 % 0.70/0.85 cnf(cls_order__root_0,axiom, % 0.70/0.85 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.70/0.85 | c_Polynomial_Oorder(V_a,V_p,T_a) != c_HOL_Ozero__class_Ozero(tc_nat) % 0.70/0.85 | V_p = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) % 0.70/0.85 | hAPP(c_Polynomial_Opoly(V_p,T_a),V_a) != c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.70/0.85 % 0.70/0.85 cnf(cls_smult__eq__0__iff_1,axiom, % 0.70/0.85 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.70/0.85 | c_Polynomial_Osmult(c_HOL_Ozero__class_Ozero(T_a),V_p,T_a) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ). % 0.70/0.85 % 0.70/0.85 cnf(cls_smult__0__left_0,axiom, % 0.70/0.85 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a) % 0.70/0.85 | c_Polynomial_Osmult(c_HOL_Ozero__class_Ozero(T_a),V_p,T_a) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ). % 0.70/0.85 % 0.70/0.85 cnf(cls_double__add__le__zero__iff__single__add__le__zero_0,axiom, % 0.70/0.85 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.70/0.85 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.70/0.85 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.70/0.85 % 0.70/0.85 cnf(cls_double__add__le__zero__iff__single__add__le__zero_1,axiom, % 0.70/0.85 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.70/0.85 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.70/0.85 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.70/0.85 % 0.70/0.85 cnf(cls_add__nonpos__nonpos_0,axiom, % 0.70/0.85 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 0.70/0.85 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.70/0.85 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.70/0.85 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.70/0.85 % 0.70/0.85 cnf(cls_sum__squares__eq__zero__iff_2,axiom, % 0.70/0.85 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.70/0.85 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Ozero__class_Ozero(T_a))),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Ozero__class_Ozero(T_a))) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.70/0.85 % 0.70/0.85 cnf(cls_poly__zero_0,axiom, % 0.70/0.85 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.70/0.85 | ~ class_Int_Oring__char__0(T_a) % 0.70/0.85 | c_Polynomial_Opoly(V_p,T_a) != c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),T_a) % 0.70/0.85 | V_p = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ). % 0.70/0.85 % 0.70/0.85 cnf(cls_poly__eq__iff_0,axiom, % 0.70/0.85 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.70/0.85 | ~ class_Int_Oring__char__0(T_a) % 0.70/0.85 | c_Polynomial_Opoly(V_p,T_a) != c_Polynomial_Opoly(V_q,T_a) % 0.70/0.85 | V_p = V_q ) ). % 0.70/0.85 % 0.70/0.85 cnf(cls_constant__def_0,axiom, % 0.70/0.85 ( hAPP(V_f,V_x) = hAPP(V_f,V_y) % 0.70/0.85 | ~ c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(V_f,t_a,t_b) ) ). % 0.70/0.85 % 0.70/0.85 cnf(cls_poly__decompose_1,axiom, % 0.70/0.85 ( ~ class_Ring__and__Field_Oidom(t_a) % 0.70/0.85 | v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__decompose__1(V_p) != c_HOL_Ozero__class_Ozero(tc_nat) % 0.70/0.85 | c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(c_Polynomial_Opoly(V_p,t_a),t_a,t_a) ) ). % 0.70/0.85 % 0.70/0.85 cnf(cls_assms_0,axiom, % 0.70/0.85 ~ c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(c_Polynomial_Opoly(v_p,tc_Complex_Ocomplex),tc_Complex_Ocomplex,tc_Complex_Ocomplex) ). % 0.70/0.85 % 0.70/0.85 cnf(cls_poly__pcompose_0,axiom, % 0.70/0.85 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a) % 0.70/0.85 | hAPP(c_Polynomial_Opoly(c_Polynomial_Opcompose(V_p,V_q,T_a),T_a),V_x) = hAPP(c_Polynomial_Opoly(V_p,T_a),hAPP(c_Polynomial_Opoly(V_q,T_a),V_x)) ) ). % 0.70/0.85 % 0.70/0.85 cnf(cls_q_I1_J_0,axiom, % 0.70/0.85 c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(v_q____,tc_Complex_Ocomplex) = c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(v_pa____,tc_Complex_Ocomplex) ). % 0.70/0.85 % 0.70/0.85 cnf(cls_q_I2_J_0,axiom, % 0.70/0.85 hAPP(c_Polynomial_Opoly(v_q____,tc_Complex_Ocomplex),V_x) = hAPP(c_Polynomial_Opoly(v_pa____,tc_Complex_Ocomplex),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Complex_Ocomplex),v_c____),V_x)) ). % 0.70/0.85 % 0.70/0.85 cnf(cls_nc_0,axiom, % 0.70/0.85 ~ c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(c_Polynomial_Opoly(v_pa____,tc_Complex_Ocomplex),tc_Complex_Ocomplex,tc_Complex_Ocomplex) ). % 0.70/0.85 % 0.70/0.85 cnf(cls_poly__decompose_0,axiom, % 0.70/0.85 ( ~ class_Ring__and__Field_Oidom(t_a) % 0.70/0.85 | v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__decompose__2(V_p) != c_HOL_Ozero__class_Ozero(t_a) % 0.70/0.85 | c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(c_Polynomial_Opoly(V_p,t_a),t_a,t_a) ) ). % 0.70/0.85 % 0.70/0.85 cnf(cls_CHAINED_0,axiom, % 0.70/0.85 ~ c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(c_Polynomial_Opoly(v_q____,tc_Complex_Ocomplex),tc_Complex_Ocomplex,tc_Complex_Ocomplex) ). % 0.70/0.85 % 0.70/0.85 cnf(cls_conjecture_0,negated_conjecture, % 0.70/0.85 c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(c_Polynomial_Opoly(v_q____,tc_Complex_Ocomplex),tc_Complex_Ocomplex,tc_Complex_Ocomplex) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Ocancel__comm__monoid__add,axiom, % 0.70/0.85 ( class_OrderedGroup_Ocancel__comm__monoid__add(tc_Polynomial_Opoly(T_1)) % 0.70/0.85 | ~ class_OrderedGroup_Ocancel__comm__monoid__add(T_1) ) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Ocomm__ring__1,axiom, % 0.70/0.85 ( class_Ring__and__Field_Ocomm__ring__1(tc_Polynomial_Opoly(T_1)) % 0.70/0.85 | ~ class_Ring__and__Field_Ocomm__ring__1(T_1) ) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Ocomm__ring,axiom, % 0.70/0.85 ( class_Ring__and__Field_Ocomm__ring(tc_Polynomial_Opoly(T_1)) % 0.70/0.85 | ~ class_Ring__and__Field_Ocomm__ring(T_1) ) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ocancel__comm__monoid__add,axiom, % 0.70/0.85 class_OrderedGroup_Ocancel__comm__monoid__add(tc_Complex_Ocomplex) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__ring__1,axiom, % 0.70/0.85 class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__ring,axiom, % 0.70/0.85 class_Ring__and__Field_Ocomm__ring(tc_Complex_Ocomplex) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_RealDef__Oreal__OrderedGroup_Ocancel__comm__monoid__add,axiom, % 0.70/0.85 class_OrderedGroup_Ocancel__comm__monoid__add(tc_RealDef_Oreal) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__ring__1,axiom, % 0.70/0.85 class_Ring__and__Field_Ocomm__ring__1(tc_RealDef_Oreal) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__ring,axiom, % 0.70/0.85 class_Ring__and__Field_Ocomm__ring(tc_RealDef_Oreal) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_nat__OrderedGroup_Ocancel__comm__monoid__add,axiom, % 0.70/0.85 class_OrderedGroup_Ocancel__comm__monoid__add(tc_nat) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_fun__Lattices_Oboolean__algebra,axiom, % 0.70/0.85 ( class_Lattices_Oboolean__algebra(tc_fun(T_2,T_1)) % 0.70/0.85 | ~ class_Lattices_Oboolean__algebra(T_1) ) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_fun__Orderings_Opreorder,axiom, % 0.70/0.85 ( class_Orderings_Opreorder(tc_fun(T_2,T_1)) % 0.70/0.85 | ~ class_Orderings_Opreorder(T_1) ) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_fun__Orderings_Oorder,axiom, % 0.70/0.85 ( class_Orderings_Oorder(tc_fun(T_2,T_1)) % 0.70/0.85 | ~ class_Orderings_Oorder(T_1) ) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_nat__OrderedGroup_Opordered__cancel__ab__semigroup__add,axiom, % 0.70/0.85 class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add__imp__le,axiom, % 0.70/0.85 class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_nat__Ring__and__Field_Oordered__comm__semiring__strict,axiom, % 0.70/0.85 class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_nat__Ring__and__Field_Opordered__cancel__semiring,axiom, % 0.70/0.85 class_Ring__and__Field_Opordered__cancel__semiring(tc_nat) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_nat__Ring__and__Field_Oordered__semiring__strict,axiom, % 0.70/0.85 class_Ring__and__Field_Oordered__semiring__strict(tc_nat) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add,axiom, % 0.70/0.85 class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_nat__OrderedGroup_Opordered__comm__monoid__add,axiom, % 0.70/0.85 class_OrderedGroup_Opordered__comm__monoid__add(tc_nat) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_nat__OrderedGroup_Ocancel__ab__semigroup__add,axiom, % 0.70/0.85 class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_nat__OrderedGroup_Ocancel__semigroup__add,axiom, % 0.70/0.85 class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_nat__Ring__and__Field_Opordered__semiring,axiom, % 0.70/0.85 class_Ring__and__Field_Opordered__semiring(tc_nat) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_nat__Ring__and__Field_Oordered__semiring,axiom, % 0.70/0.85 class_Ring__and__Field_Oordered__semiring(tc_nat) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_nat__Ring__and__Field_Ono__zero__divisors,axiom, % 0.70/0.85 class_Ring__and__Field_Ono__zero__divisors(tc_nat) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_nat__Ring__and__Field_Oordered__semidom,axiom, % 0.70/0.85 class_Ring__and__Field_Oordered__semidom(tc_nat) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_nat__Ring__and__Field_Ocomm__semiring__1,axiom, % 0.70/0.85 class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_nat__Ring__and__Field_Ocomm__semiring__0,axiom, % 0.70/0.85 class_Ring__and__Field_Ocomm__semiring__0(tc_nat) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_nat__OrderedGroup_Oab__semigroup__mult,axiom, % 0.70/0.85 class_OrderedGroup_Oab__semigroup__mult(tc_nat) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_nat__OrderedGroup_Ocomm__monoid__mult,axiom, % 0.70/0.85 class_OrderedGroup_Ocomm__monoid__mult(tc_nat) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_nat__OrderedGroup_Oab__semigroup__add,axiom, % 0.70/0.85 class_OrderedGroup_Oab__semigroup__add(tc_nat) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_nat__Ring__and__Field_Ocomm__semiring,axiom, % 0.70/0.85 class_Ring__and__Field_Ocomm__semiring(tc_nat) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_nat__OrderedGroup_Ocomm__monoid__add,axiom, % 0.70/0.85 class_OrderedGroup_Ocomm__monoid__add(tc_nat) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_nat__Ring__and__Field_Ozero__neq__one,axiom, % 0.70/0.85 class_Ring__and__Field_Ozero__neq__one(tc_nat) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_nat__OrderedGroup_Osemigroup__add,axiom, % 0.70/0.85 class_OrderedGroup_Osemigroup__add(tc_nat) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_nat__Ring__and__Field_Osemiring__1,axiom, % 0.70/0.85 class_Ring__and__Field_Osemiring__1(tc_nat) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_nat__Ring__and__Field_Osemiring__0,axiom, % 0.70/0.85 class_Ring__and__Field_Osemiring__0(tc_nat) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_nat__Ring__and__Field_Omult__mono1,axiom, % 0.70/0.85 class_Ring__and__Field_Omult__mono1(tc_nat) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_nat__Ring__and__Field_Omult__zero,axiom, % 0.70/0.85 class_Ring__and__Field_Omult__zero(tc_nat) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_nat__Ring__and__Field_Omult__mono,axiom, % 0.70/0.85 class_Ring__and__Field_Omult__mono(tc_nat) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_nat__OrderedGroup_Omonoid__mult,axiom, % 0.70/0.85 class_OrderedGroup_Omonoid__mult(tc_nat) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_nat__Ring__and__Field_Osemiring,axiom, % 0.70/0.85 class_Ring__and__Field_Osemiring(tc_nat) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_nat__OrderedGroup_Omonoid__add,axiom, % 0.70/0.85 class_OrderedGroup_Omonoid__add(tc_nat) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_nat__Nat_Osemiring__char__0,axiom, % 0.70/0.85 class_Nat_Osemiring__char__0(tc_nat) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_nat__Orderings_Opreorder,axiom, % 0.70/0.85 class_Orderings_Opreorder(tc_nat) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_nat__Orderings_Olinorder,axiom, % 0.70/0.85 class_Orderings_Olinorder(tc_nat) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_nat__Orderings_Oorder,axiom, % 0.70/0.85 class_Orderings_Oorder(tc_nat) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_nat__Power_Opower,axiom, % 0.70/0.85 class_Power_Opower(tc_nat) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_nat__HOL_Ozero,axiom, % 0.70/0.85 class_HOL_Ozero(tc_nat) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__cancel__ab__semigroup__add,axiom, % 0.70/0.85 class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_RealDef_Oreal) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__semigroup__add__imp__le,axiom, % 0.70/0.85 class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__comm__semiring__strict,axiom, % 0.70/0.85 class_Ring__and__Field_Oordered__comm__semiring__strict(tc_RealDef_Oreal) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Opordered__cancel__semiring,axiom, % 0.70/0.85 class_Ring__and__Field_Opordered__cancel__semiring(tc_RealDef_Oreal) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oring__1__no__zero__divisors,axiom, % 0.70/0.85 class_Ring__and__Field_Oring__1__no__zero__divisors(tc_RealDef_Oreal) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__semiring__strict,axiom, % 0.70/0.85 class_Ring__and__Field_Oordered__semiring__strict(tc_RealDef_Oreal) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__semigroup__add,axiom, % 0.70/0.85 class_OrderedGroup_Opordered__ab__semigroup__add(tc_RealDef_Oreal) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__comm__monoid__add,axiom, % 0.70/0.85 class_OrderedGroup_Opordered__comm__monoid__add(tc_RealDef_Oreal) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oring__no__zero__divisors,axiom, % 0.70/0.85 class_Ring__and__Field_Oring__no__zero__divisors(tc_RealDef_Oreal) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_RealDef__Oreal__OrderedGroup_Ocancel__ab__semigroup__add,axiom, % 0.70/0.85 class_OrderedGroup_Ocancel__ab__semigroup__add(tc_RealDef_Oreal) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__ring__strict,axiom, % 0.70/0.85 class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__group__add,axiom, % 0.70/0.85 class_OrderedGroup_Opordered__ab__group__add(tc_RealDef_Oreal) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_RealDef__Oreal__OrderedGroup_Olordered__ab__group__add,axiom, % 0.70/0.85 class_OrderedGroup_Olordered__ab__group__add(tc_RealDef_Oreal) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_RealDef__Oreal__OrderedGroup_Oordered__ab__group__add,axiom, % 0.70/0.85 class_OrderedGroup_Oordered__ab__group__add(tc_RealDef_Oreal) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_RealDef__Oreal__OrderedGroup_Ocancel__semigroup__add,axiom, % 0.70/0.85 class_OrderedGroup_Ocancel__semigroup__add(tc_RealDef_Oreal) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Opordered__semiring,axiom, % 0.70/0.85 class_Ring__and__Field_Opordered__semiring(tc_RealDef_Oreal) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__semiring,axiom, % 0.70/0.85 class_Ring__and__Field_Oordered__semiring(tc_RealDef_Oreal) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ono__zero__divisors,axiom, % 0.70/0.85 class_Ring__and__Field_Ono__zero__divisors(tc_RealDef_Oreal) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__semidom,axiom, % 0.70/0.85 class_Ring__and__Field_Oordered__semidom(tc_RealDef_Oreal) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring__1,axiom, % 0.70/0.85 class_Ring__and__Field_Ocomm__semiring__1(tc_RealDef_Oreal) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring__0,axiom, % 0.70/0.85 class_Ring__and__Field_Ocomm__semiring__0(tc_RealDef_Oreal) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_RealDef__Oreal__RealVector_Oreal__normed__algebra,axiom, % 0.70/0.85 class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_RealDef__Oreal__OrderedGroup_Oab__semigroup__mult,axiom, % 0.70/0.85 class_OrderedGroup_Oab__semigroup__mult(tc_RealDef_Oreal) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_RealDef__Oreal__RealVector_Oreal__normed__vector,axiom, % 0.70/0.85 class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_RealDef__Oreal__OrderedGroup_Ocomm__monoid__mult,axiom, % 0.70/0.85 class_OrderedGroup_Ocomm__monoid__mult(tc_RealDef_Oreal) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_RealDef__Oreal__OrderedGroup_Oab__semigroup__add,axiom, % 0.70/0.85 class_OrderedGroup_Oab__semigroup__add(tc_RealDef_Oreal) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Opordered__ring,axiom, % 0.70/0.85 class_Ring__and__Field_Opordered__ring(tc_RealDef_Oreal) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring,axiom, % 0.70/0.85 class_Ring__and__Field_Ocomm__semiring(tc_RealDef_Oreal) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_RealDef__Oreal__OrderedGroup_Ocomm__monoid__add,axiom, % 0.70/0.85 class_OrderedGroup_Ocomm__monoid__add(tc_RealDef_Oreal) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ozero__neq__one,axiom, % 0.70/0.85 class_Ring__and__Field_Ozero__neq__one(tc_RealDef_Oreal) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__idom,axiom, % 0.70/0.85 class_Ring__and__Field_Oordered__idom(tc_RealDef_Oreal) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_RealDef__Oreal__OrderedGroup_Osemigroup__add,axiom, % 0.70/0.85 class_OrderedGroup_Osemigroup__add(tc_RealDef_Oreal) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Osemiring__1,axiom, % 0.70/0.85 class_Ring__and__Field_Osemiring__1(tc_RealDef_Oreal) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Osemiring__0,axiom, % 0.70/0.85 class_Ring__and__Field_Osemiring__0(tc_RealDef_Oreal) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Omult__mono1,axiom, % 0.70/0.85 class_Ring__and__Field_Omult__mono1(tc_RealDef_Oreal) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_RealDef__Oreal__OrderedGroup_Oab__group__add,axiom, % 0.70/0.85 class_OrderedGroup_Oab__group__add(tc_RealDef_Oreal) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Omult__zero,axiom, % 0.70/0.85 class_Ring__and__Field_Omult__zero(tc_RealDef_Oreal) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Omult__mono,axiom, % 0.70/0.85 class_Ring__and__Field_Omult__mono(tc_RealDef_Oreal) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_RealDef__Oreal__OrderedGroup_Omonoid__mult,axiom, % 0.70/0.85 class_OrderedGroup_Omonoid__mult(tc_RealDef_Oreal) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Osemiring,axiom, % 0.70/0.85 class_Ring__and__Field_Osemiring(tc_RealDef_Oreal) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_RealDef__Oreal__OrderedGroup_Omonoid__add,axiom, % 0.70/0.85 class_OrderedGroup_Omonoid__add(tc_RealDef_Oreal) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_RealDef__Oreal__OrderedGroup_Ogroup__add,axiom, % 0.70/0.85 class_OrderedGroup_Ogroup__add(tc_RealDef_Oreal) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oring__1,axiom, % 0.70/0.85 class_Ring__and__Field_Oring__1(tc_RealDef_Oreal) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oring,axiom, % 0.70/0.85 class_Ring__and__Field_Oring(tc_RealDef_Oreal) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oidom,axiom, % 0.70/0.85 class_Ring__and__Field_Oidom(tc_RealDef_Oreal) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_RealDef__Oreal__Nat_Osemiring__char__0,axiom, % 0.70/0.85 class_Nat_Osemiring__char__0(tc_RealDef_Oreal) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_RealDef__Oreal__Orderings_Opreorder,axiom, % 0.70/0.85 class_Orderings_Opreorder(tc_RealDef_Oreal) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_RealDef__Oreal__Orderings_Olinorder,axiom, % 0.70/0.85 class_Orderings_Olinorder(tc_RealDef_Oreal) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_RealDef__Oreal__Orderings_Oorder,axiom, % 0.70/0.85 class_Orderings_Oorder(tc_RealDef_Oreal) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_RealDef__Oreal__Int_Oring__char__0,axiom, % 0.70/0.85 class_Int_Oring__char__0(tc_RealDef_Oreal) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_RealDef__Oreal__Int_Onumber__ring,axiom, % 0.70/0.85 class_Int_Onumber__ring(tc_RealDef_Oreal) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_RealDef__Oreal__Power_Opower,axiom, % 0.70/0.85 class_Power_Opower(tc_RealDef_Oreal) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_RealDef__Oreal__HOL_Ozero,axiom, % 0.70/0.85 class_HOL_Ozero(tc_RealDef_Oreal) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Oring__1__no__zero__divisors,axiom, % 0.70/0.85 class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Complex_Ocomplex) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Oring__no__zero__divisors,axiom, % 0.70/0.85 class_Ring__and__Field_Oring__no__zero__divisors(tc_Complex_Ocomplex) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ocancel__ab__semigroup__add,axiom, % 0.70/0.85 class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Complex_Ocomplex) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ocancel__semigroup__add,axiom, % 0.70/0.85 class_OrderedGroup_Ocancel__semigroup__add(tc_Complex_Ocomplex) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ono__zero__divisors,axiom, % 0.70/0.85 class_Ring__and__Field_Ono__zero__divisors(tc_Complex_Ocomplex) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__1,axiom, % 0.70/0.85 class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__0,axiom, % 0.70/0.85 class_Ring__and__Field_Ocomm__semiring__0(tc_Complex_Ocomplex) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__algebra,axiom, % 0.70/0.85 class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Oab__semigroup__mult,axiom, % 0.70/0.85 class_OrderedGroup_Oab__semigroup__mult(tc_Complex_Ocomplex) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__vector,axiom, % 0.70/0.85 class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ocomm__monoid__mult,axiom, % 0.70/0.85 class_OrderedGroup_Ocomm__monoid__mult(tc_Complex_Ocomplex) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Oab__semigroup__add,axiom, % 0.70/0.85 class_OrderedGroup_Oab__semigroup__add(tc_Complex_Ocomplex) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring,axiom, % 0.70/0.85 class_Ring__and__Field_Ocomm__semiring(tc_Complex_Ocomplex) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ocomm__monoid__add,axiom, % 0.70/0.85 class_OrderedGroup_Ocomm__monoid__add(tc_Complex_Ocomplex) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ozero__neq__one,axiom, % 0.70/0.85 class_Ring__and__Field_Ozero__neq__one(tc_Complex_Ocomplex) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Osemigroup__add,axiom, % 0.70/0.85 class_OrderedGroup_Osemigroup__add(tc_Complex_Ocomplex) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Osemiring__1,axiom, % 0.70/0.85 class_Ring__and__Field_Osemiring__1(tc_Complex_Ocomplex) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Osemiring__0,axiom, % 0.70/0.85 class_Ring__and__Field_Osemiring__0(tc_Complex_Ocomplex) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Oab__group__add,axiom, % 0.70/0.85 class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Omult__zero,axiom, % 0.70/0.85 class_Ring__and__Field_Omult__zero(tc_Complex_Ocomplex) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__mult,axiom, % 0.70/0.85 class_OrderedGroup_Omonoid__mult(tc_Complex_Ocomplex) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Osemiring,axiom, % 0.70/0.85 class_Ring__and__Field_Osemiring(tc_Complex_Ocomplex) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__add,axiom, % 0.70/0.85 class_OrderedGroup_Omonoid__add(tc_Complex_Ocomplex) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ogroup__add,axiom, % 0.70/0.85 class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Oring__1,axiom, % 0.70/0.85 class_Ring__and__Field_Oring__1(tc_Complex_Ocomplex) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Oring,axiom, % 0.70/0.85 class_Ring__and__Field_Oring(tc_Complex_Ocomplex) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Oidom,axiom, % 0.70/0.85 class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_Complex__Ocomplex__Nat_Osemiring__char__0,axiom, % 0.70/0.85 class_Nat_Osemiring__char__0(tc_Complex_Ocomplex) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_Complex__Ocomplex__Int_Oring__char__0,axiom, % 0.70/0.85 class_Int_Oring__char__0(tc_Complex_Ocomplex) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_Complex__Ocomplex__Int_Onumber__ring,axiom, % 0.70/0.85 class_Int_Onumber__ring(tc_Complex_Ocomplex) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_Complex__Ocomplex__Power_Opower,axiom, % 0.70/0.85 class_Power_Opower(tc_Complex_Ocomplex) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_Complex__Ocomplex__HOL_Ozero,axiom, % 0.70/0.85 class_HOL_Ozero(tc_Complex_Ocomplex) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Opordered__cancel__ab__semigroup__add,axiom, % 0.70/0.85 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_Polynomial_Opoly(T_1)) % 0.70/0.85 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Opordered__ab__semigroup__add__imp__le,axiom, % 0.70/0.85 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_Polynomial_Opoly(T_1)) % 0.70/0.85 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oordered__comm__semiring__strict,axiom, % 0.70/0.85 ( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_Polynomial_Opoly(T_1)) % 0.70/0.85 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Opordered__cancel__semiring,axiom, % 0.70/0.85 ( class_Ring__and__Field_Opordered__cancel__semiring(tc_Polynomial_Opoly(T_1)) % 0.70/0.85 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oring__1__no__zero__divisors,axiom, % 0.70/0.85 ( class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Polynomial_Opoly(T_1)) % 0.70/0.85 | ~ class_Ring__and__Field_Oidom(T_1) ) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oordered__semiring__strict,axiom, % 0.70/0.85 ( class_Ring__and__Field_Oordered__semiring__strict(tc_Polynomial_Opoly(T_1)) % 0.70/0.85 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Opordered__ab__semigroup__add,axiom, % 0.70/0.85 ( class_OrderedGroup_Opordered__ab__semigroup__add(tc_Polynomial_Opoly(T_1)) % 0.70/0.85 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Opordered__comm__monoid__add,axiom, % 0.70/0.85 ( class_OrderedGroup_Opordered__comm__monoid__add(tc_Polynomial_Opoly(T_1)) % 0.70/0.85 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oring__no__zero__divisors,axiom, % 0.70/0.85 ( class_Ring__and__Field_Oring__no__zero__divisors(tc_Polynomial_Opoly(T_1)) % 0.70/0.85 | ~ class_Ring__and__Field_Oidom(T_1) ) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Ocancel__ab__semigroup__add,axiom, % 0.70/0.85 ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Polynomial_Opoly(T_1)) % 0.70/0.85 | ~ class_OrderedGroup_Ocancel__comm__monoid__add(T_1) ) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oordered__ring__strict,axiom, % 0.70/0.85 ( class_Ring__and__Field_Oordered__ring__strict(tc_Polynomial_Opoly(T_1)) % 0.70/0.85 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Opordered__ab__group__add,axiom, % 0.70/0.85 ( class_OrderedGroup_Opordered__ab__group__add(tc_Polynomial_Opoly(T_1)) % 0.70/0.85 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Oordered__ab__group__add,axiom, % 0.70/0.85 ( class_OrderedGroup_Oordered__ab__group__add(tc_Polynomial_Opoly(T_1)) % 0.70/0.85 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Ocancel__semigroup__add,axiom, % 0.70/0.85 ( class_OrderedGroup_Ocancel__semigroup__add(tc_Polynomial_Opoly(T_1)) % 0.70/0.85 | ~ class_OrderedGroup_Ocancel__comm__monoid__add(T_1) ) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Opordered__semiring,axiom, % 0.70/0.85 ( class_Ring__and__Field_Opordered__semiring(tc_Polynomial_Opoly(T_1)) % 0.70/0.85 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oordered__semiring,axiom, % 0.70/0.85 ( class_Ring__and__Field_Oordered__semiring(tc_Polynomial_Opoly(T_1)) % 0.70/0.85 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Ono__zero__divisors,axiom, % 0.70/0.85 ( class_Ring__and__Field_Ono__zero__divisors(tc_Polynomial_Opoly(T_1)) % 0.70/0.85 | ~ class_Ring__and__Field_Oidom(T_1) ) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oordered__semidom,axiom, % 0.70/0.85 ( class_Ring__and__Field_Oordered__semidom(tc_Polynomial_Opoly(T_1)) % 0.70/0.85 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Ocomm__semiring__1,axiom, % 0.70/0.85 ( class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(T_1)) % 0.70/0.85 | ~ class_Ring__and__Field_Ocomm__semiring__1(T_1) ) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Ocomm__semiring__0,axiom, % 0.70/0.85 ( class_Ring__and__Field_Ocomm__semiring__0(tc_Polynomial_Opoly(T_1)) % 0.70/0.85 | ~ class_Ring__and__Field_Ocomm__semiring__0(T_1) ) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Oab__semigroup__mult,axiom, % 0.70/0.85 ( class_OrderedGroup_Oab__semigroup__mult(tc_Polynomial_Opoly(T_1)) % 0.70/0.85 | ~ class_Ring__and__Field_Ocomm__semiring__0(T_1) ) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Ocomm__monoid__mult,axiom, % 0.70/0.85 ( class_OrderedGroup_Ocomm__monoid__mult(tc_Polynomial_Opoly(T_1)) % 0.70/0.85 | ~ class_Ring__and__Field_Ocomm__semiring__1(T_1) ) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Oab__semigroup__add,axiom, % 0.70/0.85 ( class_OrderedGroup_Oab__semigroup__add(tc_Polynomial_Opoly(T_1)) % 0.70/0.85 | ~ class_OrderedGroup_Ocomm__monoid__add(T_1) ) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Opordered__ring,axiom, % 0.70/0.85 ( class_Ring__and__Field_Opordered__ring(tc_Polynomial_Opoly(T_1)) % 0.70/0.85 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Ocomm__semiring,axiom, % 0.70/0.85 ( class_Ring__and__Field_Ocomm__semiring(tc_Polynomial_Opoly(T_1)) % 0.70/0.85 | ~ class_Ring__and__Field_Ocomm__semiring__0(T_1) ) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Ocomm__monoid__add,axiom, % 0.70/0.85 ( class_OrderedGroup_Ocomm__monoid__add(tc_Polynomial_Opoly(T_1)) % 0.70/0.85 | ~ class_OrderedGroup_Ocomm__monoid__add(T_1) ) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Ozero__neq__one,axiom, % 0.70/0.85 ( class_Ring__and__Field_Ozero__neq__one(tc_Polynomial_Opoly(T_1)) % 0.70/0.85 | ~ class_Ring__and__Field_Ocomm__semiring__1(T_1) ) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oordered__idom,axiom, % 0.70/0.85 ( class_Ring__and__Field_Oordered__idom(tc_Polynomial_Opoly(T_1)) % 0.70/0.85 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Osemigroup__add,axiom, % 0.70/0.85 ( class_OrderedGroup_Osemigroup__add(tc_Polynomial_Opoly(T_1)) % 0.70/0.85 | ~ class_OrderedGroup_Ocomm__monoid__add(T_1) ) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Osemiring__1,axiom, % 0.70/0.85 ( class_Ring__and__Field_Osemiring__1(tc_Polynomial_Opoly(T_1)) % 0.70/0.85 | ~ class_Ring__and__Field_Ocomm__semiring__1(T_1) ) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Osemiring__0,axiom, % 0.70/0.85 ( class_Ring__and__Field_Osemiring__0(tc_Polynomial_Opoly(T_1)) % 0.70/0.85 | ~ class_Ring__and__Field_Ocomm__semiring__0(T_1) ) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Omult__mono1,axiom, % 0.70/0.85 ( class_Ring__and__Field_Omult__mono1(tc_Polynomial_Opoly(T_1)) % 0.70/0.85 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Oab__group__add,axiom, % 0.70/0.85 ( class_OrderedGroup_Oab__group__add(tc_Polynomial_Opoly(T_1)) % 0.70/0.85 | ~ class_OrderedGroup_Oab__group__add(T_1) ) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Omult__zero,axiom, % 0.70/0.85 ( class_Ring__and__Field_Omult__zero(tc_Polynomial_Opoly(T_1)) % 0.70/0.85 | ~ class_Ring__and__Field_Ocomm__semiring__0(T_1) ) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Omult__mono,axiom, % 0.70/0.85 ( class_Ring__and__Field_Omult__mono(tc_Polynomial_Opoly(T_1)) % 0.70/0.85 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Omonoid__mult,axiom, % 0.70/0.85 ( class_OrderedGroup_Omonoid__mult(tc_Polynomial_Opoly(T_1)) % 0.70/0.85 | ~ class_Ring__and__Field_Ocomm__semiring__1(T_1) ) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Osemiring,axiom, % 0.70/0.85 ( class_Ring__and__Field_Osemiring(tc_Polynomial_Opoly(T_1)) % 0.70/0.85 | ~ class_Ring__and__Field_Ocomm__semiring__0(T_1) ) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Omonoid__add,axiom, % 0.70/0.85 ( class_OrderedGroup_Omonoid__add(tc_Polynomial_Opoly(T_1)) % 0.70/0.85 | ~ class_OrderedGroup_Ocomm__monoid__add(T_1) ) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Ogroup__add,axiom, % 0.70/0.85 ( class_OrderedGroup_Ogroup__add(tc_Polynomial_Opoly(T_1)) % 0.70/0.85 | ~ class_OrderedGroup_Oab__group__add(T_1) ) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oring__1,axiom, % 0.70/0.85 ( class_Ring__and__Field_Oring__1(tc_Polynomial_Opoly(T_1)) % 0.70/0.85 | ~ class_Ring__and__Field_Ocomm__ring__1(T_1) ) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oring,axiom, % 0.70/0.85 ( class_Ring__and__Field_Oring(tc_Polynomial_Opoly(T_1)) % 0.70/0.85 | ~ class_Ring__and__Field_Ocomm__ring(T_1) ) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oidom,axiom, % 0.70/0.85 ( class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(T_1)) % 0.70/0.85 | ~ class_Ring__and__Field_Oidom(T_1) ) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_Polynomial__Opoly__Nat_Osemiring__char__0,axiom, % 0.70/0.85 ( class_Nat_Osemiring__char__0(tc_Polynomial_Opoly(T_1)) % 0.70/0.85 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_Polynomial__Opoly__Orderings_Opreorder,axiom, % 0.70/0.85 ( class_Orderings_Opreorder(tc_Polynomial_Opoly(T_1)) % 0.70/0.85 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_Polynomial__Opoly__Orderings_Olinorder,axiom, % 0.70/0.85 ( class_Orderings_Olinorder(tc_Polynomial_Opoly(T_1)) % 0.70/0.85 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_Polynomial__Opoly__Orderings_Oorder,axiom, % 0.70/0.85 ( class_Orderings_Oorder(tc_Polynomial_Opoly(T_1)) % 0.70/0.85 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_Polynomial__Opoly__Int_Oring__char__0,axiom, % 0.70/0.85 ( class_Int_Oring__char__0(tc_Polynomial_Opoly(T_1)) % 0.70/0.85 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_Polynomial__Opoly__Int_Onumber__ring,axiom, % 0.70/0.85 ( class_Int_Onumber__ring(tc_Polynomial_Opoly(T_1)) % 0.70/0.85 | ~ class_Ring__and__Field_Ocomm__ring__1(T_1) ) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_Polynomial__Opoly__Power_Opower,axiom, % 0.70/0.85 ( class_Power_Opower(tc_Polynomial_Opoly(T_1)) % 0.70/0.85 | ~ class_Ring__and__Field_Ocomm__semiring__1(T_1) ) ). % 0.70/0.85 % 0.70/0.85 cnf(clsarity_Polynomial__Opoly__HOL_Ozero,axiom, % 0.70/0.85 ( class_HOL_Ozero(tc_Polynomial_Opoly(T_1)) % 0.70/0.85 | ~ class_HOL_Ozero(T_1) ) ). % 0.70/0.85 % 0.70/0.85 cnf(cls_ATP__Linkup_Oequal__imp__fequal_0,axiom, % 0.70/0.85 hBOOL(c_fequal(V_x,V_x,T_a)) ). % 0.70/0.85 % 0.70/0.85 cnf(cls_ATP__Linkup_Ofequal__imp__equal_0,axiom, % 0.70/0.85 ( V_X = V_Y % 0.70/0.85 | ~ hBOOL(c_fequal(V_X,V_Y,T_a)) ) ). % 0.70/0.85 % 0.70/0.85 %------------------------------------------------------------------------------ % 0.70/0.85 %------------------------------------------- % 0.70/0.85 % Proof found % 0.70/0.85 % SZS status Theorem for theBenchmark % 0.70/0.85 % SZS output start Proof % 0.70/0.85 %ClaNum:858(EqnAxiom:146) % 0.70/0.85 %VarNum:4148(SingletonVarNum:1345) % 0.70/0.85 %MaxLitNum:6 % 0.70/0.85 %MaxfuncDepth:7 % 0.70/0.85 %SharedTerms:187 % 0.70/0.85 %goalClause: 284 % 0.70/0.85 %singleGoalClaCount:1 % 0.70/0.85 [147]P1(a1) % 0.70/0.85 [148]P50(a1) % 0.70/0.85 [149]P2(a30) % 0.70/0.85 [150]P2(a1) % 0.70/0.85 [151]P3(a30) % 0.70/0.85 [152]P3(a1) % 0.70/0.85 [153]P4(a30) % 0.70/0.85 [154]P4(a1) % 0.70/0.85 [155]P4(a2) % 0.70/0.85 [156]P34(a30) % 0.70/0.85 [157]P34(a1) % 0.70/0.85 [158]P34(a2) % 0.70/0.85 [159]P51(a30) % 0.70/0.85 [160]P51(a1) % 0.70/0.85 [161]P5(a1) % 0.70/0.85 [162]P5(a2) % 0.70/0.85 [163]P12(a30) % 0.70/0.85 [164]P12(a1) % 0.70/0.85 [165]P12(a2) % 0.70/0.85 [166]P6(a30) % 0.70/0.85 [167]P6(a1) % 0.70/0.85 [168]P6(a2) % 0.70/0.85 [169]P35(a1) % 0.70/0.85 [170]P35(a2) % 0.70/0.85 [171]P38(a30) % 0.70/0.85 [172]P38(a1) % 0.70/0.85 [173]P38(a2) % 0.70/0.85 [174]P23(a1) % 0.70/0.85 [175]P42(a30) % 0.70/0.85 [176]P42(a1) % 0.70/0.85 [177]P42(a2) % 0.70/0.85 [178]P43(a1) % 0.70/0.85 [179]P52(a30) % 0.70/0.85 [180]P52(a1) % 0.70/0.85 [181]P44(a1) % 0.70/0.85 [182]P44(a2) % 0.70/0.85 [183]P55(a1) % 0.70/0.85 [184]P55(a2) % 0.70/0.85 [185]P56(a30) % 0.70/0.85 [186]P56(a1) % 0.70/0.85 [187]P19(a30) % 0.70/0.85 [188]P19(a1) % 0.70/0.85 [189]P19(a2) % 0.70/0.85 [190]P28(a30) % 0.70/0.85 [191]P28(a1) % 0.70/0.85 [192]P57(a30) % 0.70/0.85 [193]P57(a1) % 0.70/0.85 [194]P57(a2) % 0.70/0.85 [195]P63(a30) % 0.70/0.85 [196]P63(a1) % 0.70/0.85 [197]P63(a2) % 0.70/0.85 [198]P29(a1) % 0.70/0.85 [199]P24(a30) % 0.70/0.85 [200]P24(a1) % 0.70/0.85 [201]P24(a2) % 0.70/0.85 [202]P30(a30) % 0.70/0.85 [203]P30(a1) % 0.70/0.85 [204]P58(a30) % 0.70/0.85 [205]P58(a1) % 0.70/0.85 [206]P58(a2) % 0.70/0.85 [207]P36(a30) % 0.70/0.85 [208]P36(a1) % 0.70/0.85 [209]P36(a2) % 0.70/0.85 [210]P31(a30) % 0.70/0.85 [211]P31(a1) % 0.70/0.85 [212]P25(a1) % 0.70/0.85 [213]P39(a1) % 0.70/0.85 [214]P39(a2) % 0.70/0.85 [215]P33(a30) % 0.70/0.85 [216]P33(a1) % 0.70/0.85 [217]P33(a2) % 0.70/0.85 [218]P59(a1) % 0.70/0.85 [219]P59(a2) % 0.70/0.85 [220]P53(a30) % 0.70/0.85 [221]P53(a1) % 0.70/0.85 [222]P45(a30) % 0.70/0.85 [223]P45(a1) % 0.70/0.85 [224]P46(a30) % 0.70/0.85 [225]P46(a1) % 0.70/0.85 [226]P26(a1) % 0.70/0.85 [227]P26(a2) % 0.70/0.85 [228]P60(a1) % 0.70/0.85 [229]P60(a2) % 0.70/0.85 [230]P47(a30) % 0.70/0.85 [231]P47(a1) % 0.70/0.85 [232]P47(a2) % 0.70/0.85 [233]P48(a30) % 0.70/0.85 [234]P48(a1) % 0.70/0.85 [235]P48(a2) % 0.70/0.85 [236]P61(a1) % 0.70/0.85 [237]P61(a2) % 0.70/0.85 [238]P54(a30) % 0.70/0.85 [239]P54(a1) % 0.70/0.85 [240]P13(a30) % 0.70/0.85 [241]P13(a1) % 0.70/0.85 [242]P13(a2) % 0.70/0.85 [243]P37(a30) % 0.70/0.85 [244]P37(a1) % 0.70/0.85 [245]P32(a30) % 0.70/0.85 [246]P32(a1) % 0.70/0.85 [247]P16(a1) % 0.70/0.85 [248]P16(a2) % 0.70/0.85 [249]P62(a30) % 0.70/0.85 [250]P62(a1) % 0.70/0.85 [251]P62(a2) % 0.70/0.85 [252]P49(a30) % 0.70/0.85 [253]P49(a1) % 0.70/0.85 [254]P27(a30) % 0.70/0.85 [255]P27(a1) % 0.70/0.85 [256]P27(a2) % 0.70/0.85 [257]P17(a30) % 0.70/0.85 [258]P17(a1) % 0.70/0.85 [259]P17(a2) % 0.70/0.85 [260]P20(a30) % 0.70/0.85 [261]P20(a1) % 0.70/0.85 [262]P20(a2) % 0.70/0.85 [263]P21(a30) % 0.70/0.85 [264]P21(a1) % 0.70/0.85 [265]P21(a2) % 0.70/0.85 [266]P14(a1) % 0.70/0.85 [267]P14(a2) % 0.70/0.85 [268]P22(a30) % 0.70/0.85 [269]P22(a1) % 0.70/0.85 [270]P22(a2) % 0.70/0.85 [271]P40(a1) % 0.70/0.85 [272]P40(a2) % 0.70/0.85 [273]P41(a1) % 0.70/0.85 [274]P41(a2) % 0.70/0.85 [275]E(f3(a32,a2),a33) % 0.70/0.85 [276]E(f3(a36,a2),f3(a32,a2)) % 0.70/0.85 [284]P8(f12(a36,a2),a2,a2) % 0.70/0.85 [309]~P8(f12(a32,a2),a2,a2) % 0.70/0.85 [310]~P8(f12(a35,a2),a2,a2) % 0.70/0.85 [311]~P8(f12(a36,a2),a2,a2) % 0.70/0.85 [302]~E(f8(f12(a32,a2),a34),f9(a2)) % 0.70/0.85 [280]P7(x2801,x2801,a1) % 0.70/0.85 [278]E(f8(f8(f5(a30),x2781),f9(a30)),x2781) % 0.70/0.85 [304]~E(f8(f8(f5(a30),x3041),f6(a30)),x3041) % 0.70/0.85 [308]~E(f8(f8(f5(a30),x3081),f6(a30)),f9(a30)) % 0.70/0.85 [281]E(f8(f8(f5(a30),f9(a30)),x2811),x2811) % 0.70/0.85 [296]P7(f25(f8(f12(a32,a2),a34),a2),f25(f8(f12(a32,a2),x2961),a2),a1) % 0.70/0.85 [288]E(f8(f12(a32,a2),f8(f8(f5(a2),a34),x2881)),f8(f12(a36,a2),x2881)) % 0.70/0.85 [287]P64(f21(x2871,x2871,x2872)) % 0.70/0.85 [279]E(f3(f37(x2791,x2792),a2),f3(x2792,a2)) % 0.70/0.85 [285]E(f8(f8(f5(a30),x2851),x2852),f8(f8(f5(a30),x2852),x2851)) % 0.70/0.85 [299]E(f8(f8(f5(a30),f8(f8(f5(a30),x2991),f6(a30))),x2992),f8(f8(f5(a30),x2991),f8(f8(f5(a30),x2992),f6(a30)))) % 0.70/0.85 [300]E(f8(f8(f5(a30),f8(f8(f5(a30),x3001),f6(a30))),x3002),f8(f8(f5(a30),f8(f8(f5(a30),x3001),x3002)),f6(a30))) % 0.70/0.85 [289]E(f8(f12(x2891,a2),f8(f8(f5(a2),x2892),x2893)),f8(f12(f37(x2892,x2891),a2),x2893)) % 0.70/0.85 [293]E(f8(f8(f5(a30),x2931),f8(f8(f5(a30),x2932),x2933)),f8(f8(f5(a30),x2932),f8(f8(f5(a30),x2931),x2933))) % 0.70/0.85 [297]E(f8(f8(f5(a30),f8(f8(f5(a30),x2971),x2972)),x2973),f8(f8(f5(a30),x2971),f8(f8(f5(a30),x2972),x2973))) % 0.70/0.85 [292]E(f8(f8(f22(x2921,x2922,x2923),x2924),f9(a30)),x2921) % 0.70/0.85 [301]E(f8(f8(f22(x3011,x3012,x3013),x3014),f8(f8(f5(a30),x3015),f6(a30))),f8(f8(x3012,x3014),f8(f8(f22(x3011,x3012,x3013),x3014),x3015))) % 0.70/0.85 [804]~P6(a27)+E(f7(f21(a35,f9(f29(a27)),f29(a27)),f9(a30),f8(f8(f5(a30),f15(a35,a27)),f6(a30)),a30),f3(a35,a27)) % 0.70/0.85 [312]~P43(x3121)+P1(f29(x3121)) % 0.70/0.85 [313]~P43(x3131)+P50(f29(x3131)) % 0.70/0.85 [314]~P43(x3141)+P2(f29(x3141)) % 0.70/0.85 [315]~P43(x3151)+P3(f29(x3151)) % 0.70/0.85 [316]~P34(x3161)+P4(f29(x3161)) % 0.70/0.85 [317]~P34(x3171)+P34(f29(x3171)) % 0.70/0.85 [318]~P43(x3181)+P51(f29(x3181)) % 0.70/0.85 [319]~P40(x3191)+P5(f29(x3191)) % 0.70/0.85 [320]~P42(x3201)+P12(f29(x3201)) % 0.70/0.85 [321]~P6(x3211)+P6(f29(x3211)) % 0.70/0.85 [322]~P42(x3221)+P38(f29(x3221)) % 0.70/0.85 [323]~P43(x3231)+P23(f29(x3231)) % 0.70/0.85 [324]~P42(x3241)+P42(f29(x3241)) % 0.70/0.85 [325]~P43(x3251)+P43(f29(x3251)) % 0.70/0.85 [326]~P43(x3261)+P52(f29(x3261)) % 0.70/0.85 [327]~P44(x3271)+P44(f29(x3271)) % 0.70/0.85 [328]~P41(x3281)+P55(f29(x3281)) % 0.70/0.85 [329]~P43(x3291)+P56(f29(x3291)) % 0.70/0.85 [330]~P19(x3301)+P19(f29(x3301)) % 0.70/0.85 [331]~P43(x3311)+P28(f29(x3311)) % 0.70/0.85 [332]~P34(x3321)+P57(f29(x3321)) % 0.70/0.85 [333]~P34(x3331)+P63(f29(x3331)) % 0.70/0.85 [334]~P43(x3341)+P29(f29(x3341)) % 0.70/0.85 [335]~P34(x3351)+P24(f29(x3351)) % 0.70/0.85 [336]~P43(x3361)+P30(f29(x3361)) % 0.70/0.85 [337]~P42(x3371)+P58(f29(x3371)) % 0.70/0.85 [338]~P34(x3381)+P36(f29(x3381)) % 0.70/0.85 [339]~P43(x3391)+P31(f29(x3391)) % 0.70/0.85 [340]~P19(x3401)+P33(f29(x3401)) % 0.70/0.85 [341]~P40(x3411)+P59(f29(x3411)) % 0.70/0.85 [342]~P43(x3421)+P53(f29(x3421)) % 0.70/0.85 [343]~P43(x3431)+P45(f29(x3431)) % 0.70/0.85 [344]~P43(x3441)+P46(f29(x3441)) % 0.70/0.85 [345]~P16(x3451)+P26(f29(x3451)) % 0.70/0.85 [346]~P44(x3461)+P60(f29(x3461)) % 0.70/0.85 [347]~P44(x3471)+P47(f29(x3471)) % 0.70/0.85 [348]~P42(x3481)+P48(f29(x3481)) % 0.70/0.85 [349]~P44(x3491)+P61(f29(x3491)) % 0.70/0.85 [350]~P43(x3501)+P54(f29(x3501)) % 0.70/0.85 [351]~P43(x3511)+P13(f29(x3511)) % 0.70/0.85 [352]~P43(x3521)+P37(f29(x3521)) % 0.70/0.85 [353]~P43(x3531)+P32(f29(x3531)) % 0.70/0.85 [354]~P16(x3541)+P16(f29(x3541)) % 0.70/0.85 [355]~P42(x3551)+P62(f29(x3551)) % 0.70/0.85 [356]~P43(x3561)+P49(f29(x3561)) % 0.70/0.85 [357]~P19(x3571)+P27(f29(x3571)) % 0.70/0.85 [358]~P19(x3581)+P17(f29(x3581)) % 0.70/0.85 [359]~P22(x3591)+P20(f29(x3591)) % 0.70/0.85 [360]~P22(x3601)+P21(f29(x3601)) % 0.70/0.85 [361]~P43(x3611)+P14(f29(x3611)) % 0.70/0.85 [362]~P22(x3621)+P22(f29(x3621)) % 0.70/0.85 [363]~P40(x3631)+P40(f29(x3631)) % 0.70/0.85 [364]~P41(x3641)+P41(f29(x3641)) % 0.70/0.85 [366]~P63(x3661)+~E(f6(x3661),f9(x3661)) % 0.70/0.85 [420]~P52(x4201)+P7(f9(x4201),f6(x4201),x4201) % 0.70/0.85 [421]~P52(x4211)+P9(f9(x4211),f6(x4211),x4211) % 0.70/0.85 [422]~P19(x4221)+P10(f9(x4221),f5(x4221),x4221) % 0.70/0.85 [423]~P27(x4231)+P11(f9(x4231),f5(x4231),x4231) % 0.70/0.85 [478]~P52(x4781)+~P7(f6(x4781),f9(x4781),x4781) % 0.70/0.85 [479]~P52(x4791)+~P9(f6(x4791),f9(x4791),x4791) % 0.70/0.85 [367]~P57(x3671)+E(f13(f9(a30),x3671),f9(x3671)) % 0.70/0.85 [368]~P57(x3681)+E(f13(f6(a30),x3681),f6(x3681)) % 0.70/0.85 [370]~P23(x3701)+E(f10(f9(x3701),x3701),f9(x3701)) % 0.70/0.85 [371]~P26(x3711)+E(f10(f9(x3711),x3711),f9(x3711)) % 0.70/0.85 [433]~P36(x4331)+E(f22(f6(x4331),f11(x4331),x4331),f26(x4331)) % 0.70/0.85 [439]~P25(x4391)+E(f8(f8(f5(x4391),f9(x4391)),f9(x4391)),f9(x4391)) % 0.70/0.85 [584]~P52(x5841)+P9(f9(x5841),f8(f8(f5(x5841),f6(x5841)),f6(x5841)),x5841) % 0.70/0.85 [378]~P6(x3781)+E(f15(f9(f29(x3781)),x3781),f9(a30)) % 0.70/0.85 [379]~P6(x3791)+E(f3(f9(f29(x3791)),x3791),f9(a30)) % 0.70/0.85 [458]~P6(x4581)+E(f19(f9(x4581),f9(f29(x4581)),x4581),f9(f29(x4581))) % 0.70/0.85 [769]~P1(x7691)+E(f8(f8(f5(x7691),f8(f8(f11(x7691),f9(x7691)),f9(x7691))),f8(f8(f11(x7691),f9(x7691)),f9(x7691))),f9(x7691)) % 0.70/0.85 [838]~P1(x8381)+P7(f8(f8(f5(x8381),f8(f8(f11(x8381),f9(x8381)),f9(x8381))),f8(f8(f11(x8381),f9(x8381)),f9(x8381))),f9(x8381),x8381) % 0.70/0.85 [848]~P1(x8481)+~P9(f9(x8481),f8(f8(f5(x8481),f8(f8(f11(x8481),f9(x8481)),f9(x8481))),f8(f8(f11(x8481),f9(x8481)),f9(x8481))),x8481) % 0.70/0.85 [394]~P2(x3942)+P7(x3941,x3941,x3942) % 0.70/0.85 [395]~P37(x3952)+P7(x3951,x3951,x3952) % 0.70/0.85 [452]~P9(x4522,x4522,x4521)+~P2(x4521) % 0.70/0.85 [453]~P9(x4532,x4532,x4531)+~P3(x4531) % 0.70/0.85 [454]~P9(x4542,x4542,x4541)+~P37(x4541) % 0.70/0.85 [468]P7(x4682,x4681,a1)+P7(x4681,x4682,a1) % 0.70/0.85 [373]~P2(x3732)+P2(f31(x3731,x3732)) % 0.70/0.85 [374]~P15(x3742)+P15(f31(x3741,x3742)) % 0.70/0.85 [375]~P37(x3752)+P37(f31(x3751,x3752)) % 0.70/0.85 [456]~P52(x4561)+P7(f9(x4561),f13(x4562,x4561),x4561) % 0.70/0.85 [507]~P52(x5071)+~P9(f13(x5072,x5071),f9(x5071),x5071) % 0.70/0.85 [384]~P26(x3842)+E(f10(f10(x3841,x3842),x3842),x3841) % 0.70/0.85 [385]~P15(x3852)+E(f10(f10(x3851,x3852),x3852),x3851) % 0.70/0.85 [393]~P39(x3932)+E(f25(f10(x3931,x3932),x3932),f25(x3931,x3932)) % 0.70/0.85 [396]~P34(x3961)+E(f8(f8(f26(x3961),x3962),f6(a30)),x3962) % 0.70/0.85 [397]~P24(x3971)+E(f8(f8(f26(x3971),x3972),f6(a30)),x3972) % 0.70/0.85 [398]~P34(x3981)+E(f8(f8(f11(x3981),x3982),f6(x3981)),x3982) % 0.70/0.85 [399]~P24(x3991)+E(f8(f8(f11(x3991),x3992),f6(x3991)),x3992) % 0.70/0.85 [400]~P34(x4001)+E(f8(f8(f5(x4001),x4002),f9(x4001)),x4002) % 0.70/0.85 [401]~P19(x4011)+E(f8(f8(f5(x4011),x4012),f9(x4011)),x4012) % 0.70/0.85 [402]~P27(x4021)+E(f8(f8(f5(x4021),x4022),f9(x4021)),x4022) % 0.70/0.85 [403]~P34(x4031)+E(f8(f8(f26(x4031),x4032),f9(a30)),f6(x4031)) % 0.70/0.85 [404]~P36(x4041)+E(f8(f8(f26(x4041),x4042),f9(a30)),f6(x4041)) % 0.70/0.85 [405]~P34(x4051)+E(f23(f6(x4051),x4052,x4051),x4052) % 0.70/0.85 [406]~P34(x4061)+E(f8(f8(f11(x4061),x4062),f9(x4061)),f9(x4061)) % 0.70/0.85 [408]~P35(x4081)+E(f8(f8(f11(x4081),x4082),f9(x4081)),f9(x4081)) % 0.70/0.85 [409]~P48(x4091)+E(f8(f8(f11(x4091),x4092),f9(x4091)),f9(x4091)) % 0.70/0.85 [410]~P61(x4101)+E(f8(f8(f11(x4101),x4102),f9(x4101)),f9(x4101)) % 0.70/0.85 [434]~P42(x4341)+E(f23(f9(x4341),x4342,x4341),f9(f29(x4341))) % 0.70/0.85 [435]~P44(x4351)+E(f23(f9(x4351),x4352,x4351),f9(f29(x4351))) % 0.70/0.85 [436]~P6(x4361)+E(f17(f9(x4361),x4362,x4361),f9(f29(x4361))) % 0.70/0.85 [445]~P26(x4451)+E(f8(f8(f5(x4451),x4452),f10(x4452,x4451)),f9(x4451)) % 0.70/0.85 [534]~P52(x5342)+P9(x5341,f8(f8(f5(x5342),x5341),f6(x5342)),x5342) % 0.70/0.85 [535]~P43(x5351)+P9(f9(x5351),f8(f8(f26(x5351),x5352),f9(a30)),x5351) % 0.70/0.85 [637]~P43(x6371)+~P7(f8(f8(f26(x6371),x6372),f9(a30)),f9(x6371),x6371) % 0.70/0.85 [646]~P19(x6461)+E(f8(f8(f22(f9(x6461),f5(x6461),x6461),x6462),f6(a30)),x6462) % 0.70/0.85 [391]~P18(x3911)+E(f8(f8(f11(x3911),x3912),x3912),x3912) % 0.70/0.85 [411]~P4(x4111)+E(f8(f8(f11(x4111),f6(x4111)),x4112),x4112) % 0.70/0.85 [413]~P34(x4131)+E(f8(f8(f11(x4131),f6(x4131)),x4132),x4132) % 0.70/0.85 [414]~P24(x4141)+E(f8(f8(f11(x4141),f6(x4141)),x4142),x4142) % 0.70/0.85 [416]~P34(x4161)+E(f8(f8(f5(x4161),f9(x4161)),x4162),x4162) % 0.70/0.85 [417]~P19(x4171)+E(f8(f8(f5(x4171),f9(x4171)),x4172),x4172) % 0.70/0.85 [418]~P27(x4181)+E(f8(f8(f5(x4181),f9(x4181)),x4182),x4182) % 0.70/0.85 [425]~P34(x4251)+E(f8(f8(f11(x4251),f9(x4251)),x4252),f9(x4251)) % 0.70/0.85 [427]~P35(x4271)+E(f8(f8(f11(x4271),f9(x4271)),x4272),f9(x4271)) % 0.70/0.85 [428]~P48(x4281)+E(f8(f8(f11(x4281),f9(x4281)),x4282),f9(x4281)) % 0.70/0.85 [429]~P61(x4291)+E(f8(f8(f11(x4291),f9(x4291)),x4292),f9(x4291)) % 0.70/0.85 [430]~P24(x4301)+E(f8(f8(f26(x4301),f6(x4301)),x4302),f6(x4301)) % 0.70/0.85 [432]E(x4321,f9(a30))+~E(f8(f8(f5(a30),x4322),x4321),x4322) % 0.70/0.85 [437]E(x4371,f9(a30))+~E(f8(f8(f5(a30),x4372),x4371),f9(a30)) % 0.70/0.85 [438]E(x4381,f9(a30))+~E(f8(f8(f5(a30),x4381),x4382),f9(a30)) % 0.70/0.85 [446]~P42(x4462)+E(f23(x4461,f9(f29(x4462)),x4462),f9(f29(x4462))) % 0.70/0.85 [447]~P44(x4472)+E(f23(x4471,f9(f29(x4472)),x4472),f9(f29(x4472))) % 0.70/0.85 [448]~P42(x4481)+E(f4(f9(f29(x4481)),x4482,x4481),f9(f29(x4481))) % 0.70/0.85 [449]~P42(x4491)+E(f18(f9(f29(x4491)),x4492,x4491),f9(f29(x4491))) % 0.70/0.85 [463]~P19(x4631)+E(f8(f8(f5(f29(x4631)),x4632),f9(f29(x4631))),x4632) % 0.70/0.85 [483]~P26(x4831)+E(f8(f8(f5(x4831),f10(x4832,x4831)),x4832),f9(x4831)) % 0.70/0.85 [484]~P16(x4841)+E(f8(f8(f5(x4841),f10(x4842,x4841)),x4842),f9(x4841)) % 0.70/0.85 [504]~P6(x5042)+E(f19(x5041,f9(f29(x5042)),x5042),f17(x5041,f9(a30),x5042)) % 0.70/0.85 [506]~P44(x5061)+E(f15(f23(f9(x5061),x5062,x5061),x5061),f9(a30)) % 0.70/0.85 [530]~P1(x5301)+P7(f9(x5301),f8(f8(f11(x5301),x5302),x5302),x5301) % 0.70/0.85 [563]~P44(x5631)+E(f8(f8(f11(x5631),f10(x5632,x5631)),f10(x5632,x5631)),f8(f8(f11(x5631),x5632),x5632)) % 0.70/0.85 [585]~P57(x5852)+E(f13(f8(f8(f5(a30),x5851),f6(a30)),x5852),f8(f8(f5(x5852),f6(x5852)),f13(x5851,x5852))) % 0.70/0.85 [620]~P1(x6201)+~P9(f8(f8(f11(x6201),x6202),x6202),f9(x6201),x6201) % 0.70/0.85 [661]~P19(x6611)+E(f8(f8(f22(f9(x6611),f5(x6611),x6611),f9(x6611)),x6612),f9(x6611)) % 0.70/0.85 [442]~P6(x4421)+E(f8(f16(f9(f29(x4421)),x4421),x4422),f9(x4421)) % 0.70/0.85 [443]~P42(x4431)+E(f8(f12(f9(f29(x4431)),x4431),x4432),f9(x4431)) % 0.70/0.85 [444]~P44(x4441)+E(f8(f12(f9(f29(x4441)),x4441),x4442),f9(x4441)) % 0.70/0.85 [497]~P19(x4971)+E(f8(f8(f5(f29(x4971)),f9(f29(x4971))),x4972),x4972) % 0.70/0.85 [514]~P5(x5141)+E(f8(f8(f11(x5141),f10(f6(x5141),x5141)),x5142),f10(x5142,x5141)) % 0.70/0.85 [528]~P6(x5282)+E(f15(f19(x5281,f9(f29(x5282)),x5282),x5282),f9(a30)) % 0.70/0.85 [715]~P34(x7151)+E(f8(f8(f5(x7151),x7152),x7152),f8(f8(f11(x7151),f8(f8(f5(x7151),f6(x7151)),f6(x7151))),x7152)) % 0.70/0.85 [470]E(f8(x4701,x4702),f8(x4701,x4703))+~P8(x4701,a27,a28) % 0.70/0.85 [536]E(x5361,x5362)+~P64(f21(x5361,x5362,x5363)) % 0.70/0.85 [505]~P42(x5053)+E(f15(f4(x5051,x5052,x5053),x5053),f15(x5051,x5053)) % 0.70/0.85 [621]~P6(x6213)+E(f8(f16(f19(x6211,x6212,x6213),x6213),f9(a30)),x6211) % 0.70/0.85 [474]~P34(x4741)+E(f8(f8(f11(x4741),x4742),x4743),f8(f8(f11(x4741),x4743),x4742)) % 0.70/0.85 [476]~P34(x4761)+E(f8(f8(f5(x4761),x4762),x4763),f8(f8(f5(x4761),x4763),x4762)) % 0.70/0.85 [477]~P19(x4771)+E(f8(f8(f5(x4771),x4772),x4773),f8(f8(f5(x4771),x4773),x4772)) % 0.70/0.85 [509]E(x5091,x5092)+~E(f8(f8(f5(a30),x5093),x5091),f8(f8(f5(a30),x5093),x5092)) % 0.70/0.85 [510]E(x5101,x5102)+~E(f8(f8(f5(a30),x5101),x5103),f8(f8(f5(a30),x5102),x5103)) % 0.70/0.85 [561]~P55(x5611)+E(f8(f8(f11(x5611),f10(x5612,x5611)),x5613),f8(f8(f11(x5611),x5612),f10(x5613,x5611))) % 0.70/0.85 [562]~P55(x5621)+E(f8(f8(f11(x5621),f10(x5622,x5621)),f10(x5623,x5621)),f8(f8(f11(x5621),x5622),x5623)) % 0.70/0.85 [619]~P6(x6193)+E(f8(f16(f17(x6191,x6192,x6193),x6193),x6192),x6191) % 0.70/0.85 [660]~P6(x6603)+E(f17(x6601,f8(f8(f5(a30),x6602),f6(a30)),x6603),f19(f9(x6603),f17(x6601,x6602,x6603),x6603)) % 0.70/0.85 [855]~P27(x8551)+E(f8(f8(f5(x8551),x8552),f14(f5(x8551),f9(x8551),x8553,x8551,x8551)),f14(f5(x8551),x8552,x8553,x8551,x8551)) % 0.70/0.85 [577]~P35(x5771)+E(f10(f8(f8(f11(x5771),x5772),x5773),x5771),f8(f8(f11(x5771),x5772),f10(x5773,x5771))) % 0.70/0.85 [578]~P55(x5781)+E(f10(f8(f8(f11(x5781),x5782),x5783),x5781),f8(f8(f11(x5781),x5782),f10(x5783,x5781))) % 0.70/0.85 [586]~P18(x5861)+E(f8(f8(f11(x5861),x5862),f8(f8(f11(x5861),x5862),x5863)),f8(f8(f11(x5861),x5862),x5863)) % 0.70/0.85 [587]~P16(x5871)+E(f8(f8(f5(x5871),f10(x5872,x5871)),f8(f8(f5(x5871),x5873),x5872)),x5873) % 0.70/0.85 [588]~P26(x5881)+E(f8(f8(f5(x5881),f10(x5882,x5881)),f8(f8(f5(x5881),x5882),x5883)),x5883) % 0.70/0.85 [603]~P35(x6031)+E(f10(f8(f8(f11(x6031),x6032),x6033),x6031),f8(f8(f11(x6031),f10(x6032,x6031)),x6033)) % 0.70/0.85 [604]~P55(x6041)+E(f10(f8(f8(f11(x6041),x6042),x6043),x6041),f8(f8(f11(x6041),f10(x6042,x6041)),x6043)) % 0.70/0.85 [616]~P57(x6161)+E(f8(f8(f5(x6161),f13(x6162,x6161)),f13(x6163,x6161)),f13(f8(f8(f5(a30),x6162),x6163),x6161)) % 0.70/0.85 [617]~P26(x6171)+E(f8(f8(f5(x6171),f10(x6172,x6171)),f10(x6173,x6171)),f10(f8(f8(f5(x6171),x6173),x6172),x6171)) % 0.70/0.85 [618]~P16(x6181)+E(f8(f8(f5(x6181),f10(x6182,x6181)),f10(x6183,x6181)),f10(f8(f8(f5(x6181),x6182),x6183),x6181)) % 0.70/0.85 [631]~P26(x6311)+E(f8(f8(f5(x6311),x6312),f8(f8(f5(x6311),f10(x6312,x6311)),x6313)),x6313) % 0.70/0.85 [638]~P42(x6382)+E(f4(f19(x6381,f9(f29(x6382)),x6382),x6383,x6382),f19(x6381,f9(f29(x6382)),x6382)) % 0.70/0.85 [642]~P34(x6421)+E(f8(f8(f11(x6421),x6422),f8(f8(f26(x6421),x6422),x6423)),f8(f8(f26(x6421),x6422),f8(f8(f5(a30),x6423),f6(a30)))) % 0.70/0.85 [644]~P34(x6441)+E(f8(f8(f26(x6441),x6442),f8(f8(f5(a30),x6443),f6(a30))),f8(f8(f11(x6441),x6442),f8(f8(f26(x6441),x6442),x6443))) % 0.70/0.85 [645]~P36(x6451)+E(f8(f8(f26(x6451),x6452),f8(f8(f5(a30),x6453),f6(a30))),f8(f8(f11(x6451),x6452),f8(f8(f26(x6451),x6452),x6453))) % 0.70/0.85 [741]~P34(x7411)+E(f8(f8(f5(x7411),x7412),f8(f8(f11(x7411),x7413),x7412)),f8(f8(f11(x7411),f8(f8(f5(x7411),x7413),f6(x7411))),x7412)) % 0.70/0.85 [833]~P59(x8331)+E(f8(f8(f11(x8331),f8(f8(f26(x8331),f10(f6(x8331),x8331)),x8332)),f8(f8(f26(x8331),x8333),x8332)),f8(f8(f26(x8331),f10(x8333,x8331)),x8332)) % 0.70/0.85 [834]~P1(x8341)+P7(f9(x8341),f8(f8(f5(x8341),f8(f8(f11(x8341),x8342),x8342)),f8(f8(f11(x8341),x8343),x8343)),x8341) % 0.70/0.85 [844]~P1(x8441)+~P9(f8(f8(f5(x8441),f8(f8(f11(x8441),x8442),x8442)),f8(f8(f11(x8441),x8443),x8443)),f9(x8441),x8441) % 0.70/0.85 [720]~P34(x7201)+E(f8(f8(f11(x7201),f8(f8(f26(x7201),x7202),x7203)),x7202),f8(f8(f26(x7201),x7202),f8(f8(f5(a30),x7203),f6(a30)))) % 0.70/0.85 [721]~P24(x7211)+E(f8(f8(f26(x7211),x7212),f8(f8(f5(a30),x7213),f6(a30))),f8(f8(f11(x7211),f8(f8(f26(x7211),x7212),x7213)),x7212)) % 0.70/0.85 [729]~P24(x7291)+E(f8(f8(f11(x7291),f8(f8(f26(x7291),x7292),x7293)),x7292),f8(f8(f11(x7291),x7292),f8(f8(f26(x7291),x7292),x7293))) % 0.70/0.85 [787]~P34(x7871)+E(f8(f8(f5(x7871),f8(f8(f11(x7871),x7872),x7873)),x7873),f8(f8(f11(x7871),f8(f8(f5(x7871),x7872),f6(x7871))),x7873)) % 0.70/0.85 [849]~P19(x8491)+E(f8(f8(f22(f9(x8491),f5(x8491),x8491),x8492),f8(f8(f5(a30),x8493),f6(a30))),f8(f8(f5(x8491),f8(f8(f22(f9(x8491),f5(x8491),x8491),x8492),x8493)),x8492)) % 0.70/0.85 [736]~P42(x7361)+E(f19(f8(f8(f11(x7361),x7362),x7363),f23(x7362,x7364,x7361),x7361),f23(x7362,f19(x7363,x7364,x7361),x7361)) % 0.70/0.85 [705]~P42(x7052)+E(f8(f12(x7051,x7052),f8(f12(x7053,x7052),x7054)),f8(f12(f18(x7051,x7053,x7052),x7052),x7054)) % 0.70/0.85 [716]~P42(x7161)+E(f8(f8(f11(x7161),x7162),f8(f16(x7163,x7161),x7164)),f8(f16(f23(x7162,x7163,x7161),x7161),x7164)) % 0.70/0.85 [717]~P42(x7171)+E(f8(f8(f11(x7171),x7172),f8(f12(x7173,x7171),x7174)),f8(f12(f23(x7172,x7173,x7171),x7171),x7174)) % 0.70/0.85 [718]~P6(x7183)+E(f8(f16(f19(x7181,x7182,x7183),x7183),f8(f8(f5(a30),x7184),f6(a30))),f8(f16(x7182,x7183),x7184)) % 0.70/0.85 [843]~P42(x8431)+E(f8(f8(f5(f29(x8431)),f23(x8432,f4(x8433,x8432,x8431),x8431)),f19(x8434,f4(x8433,x8432,x8431),x8431)),f4(f19(x8434,x8433,x8431),x8432,x8431)) % 0.70/0.85 [647]~P34(x6471)+E(f8(f8(f11(x6471),x6472),f8(f8(f11(x6471),x6473),x6474)),f8(f8(f11(x6471),x6473),f8(f8(f11(x6471),x6472),x6474))) % 0.70/0.85 [648]~P34(x6481)+E(f8(f8(f5(x6481),x6482),f8(f8(f5(x6481),x6483),x6484)),f8(f8(f5(x6481),x6483),f8(f8(f5(x6481),x6482),x6484))) % 0.70/0.85 [649]~P19(x6491)+E(f8(f8(f5(x6491),x6492),f8(f8(f5(x6491),x6493),x6494)),f8(f8(f5(x6491),x6493),f8(f8(f5(x6491),x6492),x6494))) % 0.70/0.85 [650]~P16(x6501)+E(f8(f8(f5(x6501),x6502),f8(f8(f5(x6501),x6503),x6504)),f8(f8(f5(x6501),x6503),f8(f8(f5(x6501),x6502),x6504))) % 0.70/0.85 [658]~P42(x6581)+E(f23(f8(f8(f11(x6581),x6582),x6583),x6584,x6581),f23(x6582,f23(x6583,x6584,x6581),x6581)) % 0.70/0.85 [659]~P42(x6591)+E(f17(f8(f8(f11(x6591),x6592),x6593),x6594,x6591),f23(x6592,f17(x6593,x6594,x6591),x6591)) % 0.70/0.85 [719]~P42(x7192)+E(f8(f12(x7191,x7192),f8(f8(f5(x7192),x7193),x7194)),f8(f12(f4(x7191,x7193,x7192),x7192),x7194)) % 0.70/0.85 [722]~P34(x7221)+E(f8(f8(f11(x7221),x7222),f8(f8(f26(x7221),x7223),x7224)),f8(f12(f17(x7222,x7224,x7221),x7221),x7223)) % 0.70/0.85 [772]~P24(x7721)+E(f8(f8(f11(x7721),f8(f8(f26(x7721),x7722),x7723)),f8(f8(f26(x7721),x7722),x7724)),f8(f8(f26(x7721),x7722),f8(f8(f5(a30),x7723),x7724))) % 0.70/0.85 [773]~P34(x7731)+E(f8(f8(f11(x7731),f8(f8(f26(x7731),x7732),x7733)),f8(f8(f26(x7731),x7732),x7734)),f8(f8(f26(x7731),x7732),f8(f8(f5(a30),x7733),x7734))) % 0.70/0.85 [776]~P34(x7761)+E(f8(f8(f5(x7761),f8(f8(f11(x7761),x7762),x7763)),f8(f8(f11(x7761),x7762),x7764)),f8(f8(f11(x7761),x7762),f8(f8(f5(x7761),x7763),x7764))) % 0.70/0.85 [778]~P35(x7781)+E(f8(f8(f5(x7781),f8(f8(f11(x7781),x7782),x7783)),f8(f8(f11(x7781),x7782),x7784)),f8(f8(f11(x7781),x7782),f8(f8(f5(x7781),x7783),x7784))) % 0.70/0.85 [789]~P42(x7891)+E(f8(f8(f5(f29(x7891)),f23(x7892,x7893,x7891)),f23(x7894,x7893,x7891)),f23(f8(f8(f5(x7891),x7892),x7894),x7893,x7891)) % 0.70/0.85 [790]~P19(x7901)+E(f8(f8(f5(f29(x7901)),f17(x7902,x7903,x7901)),f17(x7904,x7903,x7901)),f17(f8(f8(f5(x7901),x7902),x7904),x7903,x7901)) % 0.70/0.85 [803]~P42(x8031)+E(f8(f8(f5(x8031),x8032),f8(f8(f11(x8031),x8033),f8(f12(x8034,x8031),x8033))),f8(f12(f19(x8032,x8034,x8031),x8031),x8033)) % 0.70/0.85 [856]~P33(x8561)+E(f14(f5(x8561),f8(f8(f5(x8561),x8562),x8563),x8564,x8561,x8561),f8(f8(f5(x8561),x8562),f14(f5(x8561),x8563,x8564,x8561,x8561))) % 0.70/0.85 [727]~P34(x7271)+E(f8(f8(f11(x7271),f8(f8(f11(x7271),x7272),x7273)),x7274),f8(f8(f11(x7271),x7272),f8(f8(f11(x7271),x7273),x7274))) % 0.70/0.85 [728]~P12(x7281)+E(f8(f8(f11(x7281),f8(f8(f11(x7281),x7282),x7283)),x7284),f8(f8(f11(x7281),x7282),f8(f8(f11(x7281),x7283),x7284))) % 0.70/0.85 [730]~P34(x7301)+E(f8(f8(f5(x7301),f8(f8(f5(x7301),x7302),x7303)),x7304),f8(f8(f5(x7301),x7302),f8(f8(f5(x7301),x7303),x7304))) % 0.70/0.85 [731]~P19(x7311)+E(f8(f8(f5(x7311),f8(f8(f5(x7311),x7312),x7313)),x7314),f8(f8(f5(x7311),x7312),f8(f8(f5(x7311),x7313),x7314))) % 0.70/0.85 [732]~P17(x7321)+E(f8(f8(f5(x7321),f8(f8(f5(x7321),x7322),x7323)),x7324),f8(f8(f5(x7321),x7322),f8(f8(f5(x7321),x7323),x7324))) % 0.70/0.85 [774]~P34(x7741)+E(f8(f8(f11(x7741),f8(f8(f11(x7741),x7742),x7743)),x7744),f8(f8(f11(x7741),f8(f8(f11(x7741),x7742),x7744)),x7743)) % 0.70/0.85 [775]~P34(x7751)+E(f8(f8(f5(x7751),f8(f8(f5(x7751),x7752),x7753)),x7754),f8(f8(f5(x7751),f8(f8(f5(x7751),x7752),x7754)),x7753)) % 0.70/0.85 [807]~P42(x8071)+E(f8(f8(f5(f29(x8071)),f23(x8072,x8073,x8071)),f23(x8072,x8074,x8071)),f23(x8072,f8(f8(f5(f29(x8071)),x8073),x8074),x8071)) % 0.70/0.85 [810]~P35(x8101)+E(f8(f8(f5(x8101),f8(f8(f11(x8101),x8102),x8103)),f8(f8(f11(x8101),x8104),x8103)),f8(f8(f11(x8101),f8(f8(f5(x8101),x8102),x8104)),x8103)) % 0.70/0.85 [811]~P38(x8111)+E(f8(f8(f5(x8111),f8(f8(f11(x8111),x8112),x8113)),f8(f8(f11(x8111),x8114),x8113)),f8(f8(f11(x8111),f8(f8(f5(x8111),x8112),x8114)),x8113)) % 0.70/0.85 [812]~P4(x8121)+E(f8(f8(f11(x8121),f8(f8(f26(x8121),x8122),x8123)),f8(f8(f26(x8121),x8124),x8123)),f8(f8(f26(x8121),f8(f8(f11(x8121),x8122),x8124)),x8123)) % 0.70/0.85 [813]~P34(x8131)+E(f8(f8(f11(x8131),f8(f8(f26(x8131),x8132),x8133)),f8(f8(f26(x8131),x8134),x8133)),f8(f8(f26(x8131),f8(f8(f11(x8131),x8132),x8134)),x8133)) % 0.70/0.85 [814]~P34(x8141)+E(f8(f8(f5(x8141),f8(f8(f11(x8141),x8142),x8143)),f8(f8(f11(x8141),x8144),x8143)),f8(f8(f11(x8141),f8(f8(f5(x8141),x8142),x8144)),x8143)) % 0.70/0.85 [853]~P19(x8531)+E(f8(f8(f5(x8531),f8(f8(f22(f9(x8531),f5(x8531),x8531),x8532),x8533)),f8(f8(f22(f9(x8531),f5(x8531),x8531),x8532),x8534)),f8(f8(f22(f9(x8531),f5(x8531),x8531),x8532),f8(f8(f5(a30),x8533),x8534))) % 0.70/0.85 [854]~P19(x8541)+E(f8(f8(f5(x8541),f8(f8(f22(f9(x8541),f5(x8541),x8541),x8542),x8543)),f8(f8(f22(f9(x8541),f5(x8541),x8541),x8544),x8543)),f8(f8(f22(f9(x8541),f5(x8541),x8541),f8(f8(f5(x8541),x8542),x8544)),x8543)) % 0.70/0.85 [822]~P19(x8221)+E(f8(f8(f5(x8221),f8(f16(x8222,x8221),x8223)),f8(f16(x8224,x8221),x8223)),f8(f16(f8(f8(f5(f29(x8221)),x8222),x8224),x8221),x8223)) % 0.70/0.85 [823]~P42(x8231)+E(f8(f8(f5(x8231),f8(f12(x8232,x8231),x8233)),f8(f12(x8234,x8231),x8233)),f8(f12(f8(f8(f5(f29(x8231)),x8232),x8234),x8231),x8233)) % 0.70/0.85 [829]~P34(x8291)+E(f8(f8(f11(x8291),f8(f8(f11(x8291),x8292),x8293)),f8(f8(f11(x8291),x8294),x8295)),f8(f8(f11(x8291),f8(f8(f11(x8291),x8292),x8294)),f8(f8(f11(x8291),x8293),x8295))) % 0.70/0.85 [830]~P34(x8301)+E(f8(f8(f5(x8301),f8(f8(f5(x8301),x8302),x8303)),f8(f8(f5(x8301),x8304),x8305)),f8(f8(f5(x8301),f8(f8(f5(x8301),x8302),x8304)),f8(f8(f5(x8301),x8303),x8305))) % 0.70/0.85 [827]~P19(x8271)+E(f19(f8(f8(f5(x8271),x8272),x8273),f8(f8(f5(f29(x8271)),x8274),x8275),x8271),f8(f8(f5(f29(x8271)),f19(x8272,x8274,x8271)),f19(x8273,x8275,x8271))) % 0.70/0.85 [850]~P62(x8501)+E(f8(f8(f5(x8501),f8(f8(f11(x8501),x8502),x8503)),f8(f8(f5(x8501),f8(f8(f11(x8501),x8504),x8503)),x8505)),f8(f8(f5(x8501),f8(f8(f11(x8501),f8(f8(f5(x8501),x8502),x8504)),x8503)),x8505)) % 0.70/0.85 [858]~P6(x8584)+E(f8(f8(f8(x8581,x8582),x8583),f7(f21(x8583,f9(f29(x8584)),f29(x8584)),x8585,f24(x8585,x8581,x8583,x8586,x8584),x8586)),f24(x8585,x8581,f19(x8582,x8583,x8584),x8586,x8584)) % 0.70/0.85 [450]~E(f39(x4501),f9(a30))+~P44(a27)+P8(f12(x4501,a27),a27,a27) % 0.70/0.85 [451]~E(f40(x4511),f9(a27))+~P44(a27)+P8(f12(x4511,a27),a27,a27) % 0.70/0.85 [559]~P28(x5591)+~P7(f9(x5591),f9(x5591),x5591)+E(f8(f8(f5(x5591),f9(x5591)),f9(x5591)),f9(x5591)) % 0.70/0.85 [815]~P44(a27)+P8(f12(x8151,a27),a27,a27)+E(f8(f8(f5(a30),f8(f8(f5(a30),f3(f41(x8151),a27)),f39(x8151))),f6(a30)),f3(x8151,a27)) % 0.70/0.85 [529]E(x5291,x5292)+~P7(x5292,x5291,a1)+~P7(x5291,x5292,a1) % 0.70/0.85 [372]~P23(x3722)+~E(f10(x3721,x3722),x3721)+E(x3721,f9(x3722)) % 0.70/0.85 [376]~P26(x3762)+~E(f10(x3761,x3762),f9(x3762))+E(x3761,f9(x3762)) % 0.70/0.85 [377]~P26(x3771)+~E(f10(x3772,x3771),f9(x3771))+E(f9(x3771),x3772) % 0.70/0.85 [554]~P23(x5542)+~P7(x5541,f9(x5542),x5542)+P7(x5541,f10(x5541,x5542),x5542) % 0.70/0.85 [555]~P25(x5552)+~P7(x5551,f9(x5552),x5552)+P7(x5551,f10(x5551,x5552),x5552) % 0.70/0.85 [556]~P43(x5562)+~P9(x5561,f9(x5562),x5562)+P9(x5561,f10(x5561,x5562),x5562) % 0.70/0.85 [557]~P23(x5572)+~P7(f9(x5572),x5571,x5572)+P7(f10(x5571,x5572),x5571,x5572) % 0.70/0.85 [558]~P25(x5582)+~P7(f9(x5582),x5581,x5582)+P7(f10(x5581,x5582),x5581,x5582) % 0.70/0.85 [565]~P29(x5651)+~P7(x5652,f9(x5651),x5651)+P7(f9(x5651),f10(x5652,x5651),x5651) % 0.70/0.85 [566]~P29(x5661)+~P9(x5662,f9(x5661),x5661)+P9(f9(x5661),f10(x5662,x5661),x5661) % 0.70/0.85 [567]~P29(x5672)+~P7(f9(x5672),x5671,x5672)+P7(f10(x5671,x5672),f9(x5672),x5672) % 0.70/0.85 [568]~P29(x5682)+~P9(f9(x5682),x5681,x5682)+P9(f10(x5681,x5682),f9(x5682),x5682) % 0.70/0.85 [569]~P23(x5692)+~P7(x5691,f10(x5691,x5692),x5692)+P7(x5691,f9(x5692),x5692) % 0.70/0.85 [570]~P25(x5702)+~P7(x5701,f10(x5701,x5702),x5702)+P7(x5701,f9(x5702),x5702) % 0.70/0.85 [571]~P43(x5712)+~P9(x5711,f10(x5711,x5712),x5712)+P9(x5711,f9(x5712),x5712) % 0.70/0.85 [572]~P23(x5721)+~P7(f10(x5722,x5721),x5722,x5721)+P7(f9(x5721),x5722,x5721) % 0.70/0.85 [573]~P25(x5731)+~P7(f10(x5732,x5731),x5732,x5731)+P7(f9(x5731),x5732,x5731) % 0.70/0.85 [580]~P29(x5802)+~P7(f9(x5802),f10(x5801,x5802),x5802)+P7(x5801,f9(x5802),x5802) % 0.70/0.85 [581]~P29(x5812)+~P9(f9(x5812),f10(x5811,x5812),x5812)+P9(x5811,f9(x5812),x5812) % 0.70/0.85 [582]~P29(x5821)+~P7(f10(x5822,x5821),f9(x5821),x5821)+P7(f9(x5821),x5822,x5821) % 0.70/0.85 [583]~P29(x5831)+~P9(f10(x5832,x5831),f9(x5831),x5831)+P9(f9(x5831),x5832,x5831) % 0.70/0.85 [380]~P6(x3802)+~E(f3(x3801,x3802),f9(a30))+E(x3801,f9(f29(x3802))) % 0.70/0.85 [419]~P5(x4191)+~P44(x4191)+E(f8(f8(f5(x4191),x4192),f9(x4191)),x4192) % 0.70/0.85 [501]~P6(x5012)+~E(f8(f16(x5011,x5012),f15(x5011,x5012)),f9(x5012))+E(x5011,f9(f29(x5012))) % 0.70/0.85 [502]~P6(x5022)+E(x5021,f9(f29(x5022)))+E(f8(f8(f5(a30),f15(x5021,x5022)),f6(a30)),f3(x5021,x5022)) % 0.70/0.85 [460]~P25(x4602)+E(x4601,f9(x4602))+~E(f8(f8(f5(x4602),x4601),x4601),f9(x4602)) % 0.70/0.85 [526]E(x5261,f9(a30))+E(x5262,f9(a30))+~E(f8(f8(f5(a30),x5262),x5261),f8(f8(f5(a30),f9(a30)),f6(a30))) % 0.70/0.85 [527]E(x5271,f9(a30))+E(x5272,f9(a30))+~E(f8(f8(f5(a30),f9(a30)),f6(a30)),f8(f8(f5(a30),x5272),x5271)) % 0.70/0.85 [538]~P58(x5381)+~P36(x5381)+E(f8(f8(f26(x5381),f9(x5381)),f8(f8(f5(a30),x5382),f6(a30))),f9(x5381)) % 0.70/0.85 [597]E(x5971,f9(a30))+E(x5971,f8(f8(f5(a30),f9(a30)),f6(a30)))+~E(f8(f8(f5(a30),x5972),x5971),f8(f8(f5(a30),f9(a30)),f6(a30))) % 0.70/0.85 [598]E(x5981,f9(a30))+E(x5981,f8(f8(f5(a30),f9(a30)),f6(a30)))+~E(f8(f8(f5(a30),x5981),x5982),f8(f8(f5(a30),f9(a30)),f6(a30))) % 0.70/0.85 [599]E(x5991,f9(a30))+E(x5991,f8(f8(f5(a30),f9(a30)),f6(a30)))+~E(f8(f8(f5(a30),f9(a30)),f6(a30)),f8(f8(f5(a30),x5992),x5991)) % 0.70/0.85 [600]E(x6001,f9(a30))+E(x6001,f8(f8(f5(a30),f9(a30)),f6(a30)))+~E(f8(f8(f5(a30),f9(a30)),f6(a30)),f8(f8(f5(a30),x6001),x6002)) % 0.70/0.85 [622]~P25(x6221)+~P7(f9(x6221),x6222,x6221)+P7(f9(x6221),f8(f8(f5(x6221),x6222),x6222),x6221) % 0.70/0.85 [626]~P25(x6261)+~P9(f9(x6261),x6262,x6261)+P9(f9(x6261),f8(f8(f5(x6261),x6262),x6262),x6261) % 0.70/0.85 [628]~P25(x6281)+~P7(x6282,f9(x6281),x6281)+P7(f8(f8(f5(x6281),x6282),x6282),f9(x6281),x6281) % 0.70/0.85 [629]~P43(x6291)+~P9(x6292,f9(x6291),x6291)+P9(f8(f8(f5(x6291),x6292),x6292),f9(x6291),x6291) % 0.70/0.85 [630]~P25(x6301)+~P9(x6302,f9(x6301),x6301)+P9(f8(f8(f5(x6301),x6302),x6302),f9(x6301),x6301) % 0.70/0.85 [635]E(x6351,f8(f8(f5(a30),f9(a30)),f6(a30)))+E(x6352,f8(f8(f5(a30),f9(a30)),f6(a30)))+~E(f8(f8(f5(a30),x6352),x6351),f8(f8(f5(a30),f9(a30)),f6(a30))) % 0.70/0.85 [636]E(x6361,f8(f8(f5(a30),f9(a30)),f6(a30)))+E(x6362,f8(f8(f5(a30),f9(a30)),f6(a30)))+~E(f8(f8(f5(a30),f9(a30)),f6(a30)),f8(f8(f5(a30),x6362),x6361)) % 0.70/0.85 [652]~P25(x6522)+P7(x6521,f9(x6522),x6522)+~P7(f8(f8(f5(x6522),x6521),x6521),f9(x6522),x6522) % 0.70/0.85 [653]~P43(x6532)+P9(x6531,f9(x6532),x6532)+~P9(f8(f8(f5(x6532),x6531),x6531),f9(x6532),x6532) % 0.70/0.85 [655]~P25(x6552)+P9(x6551,f9(x6552),x6552)+~P9(f8(f8(f5(x6552),x6551),x6551),f9(x6552),x6552) % 0.70/0.85 [656]~P25(x6561)+P7(f9(x6561),x6562,x6561)+~P7(f9(x6561),f8(f8(f5(x6561),x6562),x6562),x6561) % 0.70/0.85 [657]~P25(x6571)+P9(f9(x6571),x6572,x6571)+~P9(f9(x6571),f8(f8(f5(x6571),x6572),x6572),x6571) % 0.70/0.85 [852]~P44(a27)+P8(f12(x8521,a27),a27,a27)+E(f8(f8(f5(a27),f8(f12(x8521,a27),f9(a27))),f8(f8(f11(a27),f8(f8(f26(a27),x8522),f39(x8521))),f8(f12(f19(f40(x8521),f41(x8521),a27),a27),x8522))),f8(f12(x8521,a27),x8522)) % 0.70/0.85 [485]P7(x4852,x4851,x4853)+~P3(x4853)+P7(x4851,x4852,x4853) % 0.70/0.85 [488]P9(x4882,x4881,x4883)+~P3(x4883)+P7(x4881,x4882,x4883) % 0.70/0.85 [512]~P2(x5123)+~P9(x5121,x5122,x5123)+P7(x5121,x5122,x5123) % 0.70/0.85 [513]~P37(x5133)+~P9(x5131,x5132,x5133)+P7(x5131,x5132,x5133) % 0.70/0.85 [539]~P9(x5393,x5392,x5391)+~P2(x5391)+~P9(x5392,x5393,x5391) % 0.70/0.85 [541]~P9(x5413,x5412,x5411)+~P3(x5411)+~P7(x5412,x5413,x5411) % 0.70/0.85 [543]~P9(x5433,x5432,x5431)+~P3(x5431)+~P9(x5432,x5433,x5431) % 0.70/0.85 [544]~P9(x5443,x5442,x5441)+~P37(x5441)+~P7(x5442,x5443,x5441) % 0.70/0.85 [546]~P9(x5463,x5462,x5461)+~P37(x5461)+~P9(x5462,x5463,x5461) % 0.70/0.85 [601]~P7(x6011,x6013,a1)+P7(x6011,x6012,a1)+~P7(x6013,x6012,a1) % 0.70/0.85 [386]~P26(x3863)+E(x3861,x3862)+~E(f10(x3861,x3863),f10(x3862,x3863)) % 0.70/0.85 [387]~P15(x3873)+E(x3871,x3872)+~E(f10(x3871,x3873),f10(x3872,x3873)) % 0.70/0.85 [388]~P13(x3883)+E(x3881,x3882)+~E(f13(x3881,x3883),f13(x3882,x3883)) % 0.70/0.85 [389]~P6(x3893)+E(x3891,x3892)+~E(f16(x3891,x3893),f16(x3892,x3893)) % 0.70/0.85 [574]~P29(x5742)+~P7(x5743,x5741,x5742)+P7(f10(x5741,x5742),f10(x5743,x5742),x5742) % 0.70/0.85 [575]~P29(x5752)+~P9(x5753,x5751,x5752)+P9(f10(x5751,x5752),f10(x5753,x5752),x5752) % 0.70/0.85 [590]~P29(x5903)+~P7(x5902,f10(x5901,x5903),x5903)+P7(x5901,f10(x5902,x5903),x5903) % 0.70/0.85 [592]~P29(x5923)+~P9(x5922,f10(x5921,x5923),x5923)+P9(x5921,f10(x5922,x5923),x5923) % 0.70/0.85 [594]~P29(x5942)+~P7(f10(x5943,x5942),x5941,x5942)+P7(f10(x5941,x5942),x5943,x5942) % 0.70/0.85 [596]~P29(x5962)+~P9(f10(x5963,x5962),x5961,x5962)+P9(f10(x5961,x5962),x5963,x5962) % 0.70/0.85 [605]~P29(x6053)+P7(x6051,x6052,x6053)+~P7(f10(x6052,x6053),f10(x6051,x6053),x6053) % 0.70/0.85 [606]~P29(x6063)+P9(x6061,x6062,x6063)+~P9(f10(x6062,x6063),f10(x6061,x6063),x6063) % 0.70/0.85 [469]~P44(x4693)+E(f20(x4691,x4692,x4693),f9(a30))+E(f8(f12(x4692,x4693),x4691),f9(x4693)) % 0.70/0.85 [480]~P6(x4802)+E(x4801,f9(x4802))+~E(f19(x4801,x4803,x4802),f9(f29(x4802))) % 0.70/0.85 [481]~P6(x4812)+E(x4811,f9(x4812))+~E(f17(x4811,x4813,x4812),f9(f29(x4812))) % 0.70/0.85 [495]~P6(x4952)+~E(f19(x4953,x4951,x4952),f9(f29(x4952)))+E(x4951,f9(f29(x4952))) % 0.70/0.85 [496]~P42(x4962)+~E(f4(x4961,x4963,x4962),f9(f29(x4962)))+E(x4961,f9(f29(x4962))) % 0.70/0.85 [503]~P6(x5032)+E(x5031,f9(x5032))+E(f15(f17(x5031,x5033,x5032),x5032),x5033) % 0.70/0.85 [511]~P44(x5112)+E(x5111,f9(x5112))+E(f15(f23(x5111,x5113,x5112),x5112),f15(x5113,x5112)) % 0.70/0.85 [615]~P6(x6152)+E(x6151,f9(f29(x6152)))+E(f15(f19(x6153,x6151,x6152),x6152),f8(f8(f5(a30),f15(x6151,x6152)),f6(a30))) % 0.70/0.85 [461]~P60(x4612)+E(x4611,f9(x4612))+~E(f8(f8(f26(x4612),x4611),x4613),f9(x4612)) % 0.70/0.85 [471]~P26(x4713)+E(x4711,f10(x4712,x4713))+~E(f8(f8(f5(x4713),x4711),x4712),f9(x4713)) % 0.70/0.85 [472]~P26(x4722)+E(f10(x4721,x4722),x4723)+~E(f8(f8(f5(x4722),x4721),x4723),f9(x4722)) % 0.70/0.85 [623]~P43(x6231)+~P7(f9(x6231),x6232,x6231)+P7(f9(x6231),f8(f8(f26(x6231),x6232),x6233),x6231) % 0.70/0.85 [624]~P52(x6241)+~P7(f9(x6241),x6242,x6241)+P7(f9(x6241),f8(f8(f26(x6241),x6242),x6243),x6241) % 0.70/0.85 [625]~P52(x6251)+~P7(f6(x6251),x6252,x6251)+P7(f6(x6251),f8(f8(f26(x6251),x6252),x6253),x6251) % 0.70/0.85 [627]~P52(x6271)+~P9(f9(x6271),x6272,x6271)+P9(f9(x6271),f8(f8(f26(x6271),x6272),x6273),x6271) % 0.70/0.85 [641]~P25(x6411)+~P7(x6412,f10(x6413,x6411),x6411)+P7(f8(f8(f5(x6411),x6412),x6413),f9(x6411),x6411) % 0.70/0.85 [654]~P43(x6542)+P9(x6541,f9(x6542),x6542)+~P9(f8(f8(f26(x6542),x6541),x6543),f9(x6542),x6542) % 0.70/0.85 [663]~P25(x6633)+P7(x6631,f10(x6632,x6633),x6633)+~P7(f8(f8(f5(x6633),x6631),x6632),f9(x6633),x6633) % 0.70/0.85 [763]~P52(x7631)+~P9(f6(x7631),x7632,x7631)+P9(f6(x7631),f8(f8(f26(x7631),x7632),f8(f8(f5(a30),x7633),f6(a30))),x7631) % 0.70/0.85 [768]~P52(x7681)+~P9(f6(x7681),x7682,x7681)+P9(f6(x7681),f8(f8(f11(x7681),x7682),f8(f8(f26(x7681),x7682),x7683)),x7681) % 0.70/0.85 [802]~P52(x8021)+~P9(f6(x8021),x8022,x8021)+P9(f8(f8(f26(x8021),x8022),x8023),f8(f8(f11(x8021),x8022),f8(f8(f26(x8021),x8022),x8023)),x8021) % 0.70/0.85 [805]~P1(x8052)+E(x8051,f9(x8052))+~E(f8(f8(f5(x8052),f8(f8(f11(x8052),x8053),x8053)),f8(f8(f11(x8052),x8051),x8051)),f9(x8052)) % 0.70/0.85 [806]~P1(x8062)+E(x8061,f9(x8062))+~E(f8(f8(f5(x8062),f8(f8(f11(x8062),x8061),x8061)),f8(f8(f11(x8062),x8063),x8063)),f9(x8062)) % 0.70/0.85 [835]~P1(x8352)+E(x8351,f9(x8352))+P9(f9(x8352),f8(f8(f5(x8352),f8(f8(f11(x8352),x8353),x8353)),f8(f8(f11(x8352),x8351),x8351)),x8352) % 0.70/0.85 [836]~P1(x8362)+E(x8361,f9(x8362))+P9(f9(x8362),f8(f8(f5(x8362),f8(f8(f11(x8362),x8361),x8361)),f8(f8(f11(x8362),x8363),x8363)),x8362) % 0.70/0.85 [845]~P1(x8452)+E(x8451,f9(x8452))+~P7(f8(f8(f5(x8452),f8(f8(f11(x8452),x8453),x8453)),f8(f8(f11(x8452),x8451),x8451)),f9(x8452),x8452) % 0.70/0.85 [846]~P1(x8462)+E(x8461,f9(x8462))+~P7(f8(f8(f5(x8462),f8(f8(f11(x8462),x8461),x8461)),f8(f8(f11(x8462),x8463),x8463)),f9(x8462),x8462) % 0.70/0.85 [549]~P6(x5494)+E(x5491,x5492)+~E(f17(x5491,x5493,x5494),f17(x5492,x5493,x5494)) % 0.70/0.85 [564]~P42(x5642)+~E(f23(x5643,x5641,x5642),f19(x5644,x5641,x5642))+E(x5641,f9(f29(x5642))) % 0.70/0.85 [824]~P42(x8242)+~E(f8(f8(f5(f29(x8242)),f23(x8243,x8241,x8242)),f19(x8244,x8241,x8242)),f9(f29(x8242)))+E(x8241,f9(f29(x8242))) % 0.70/0.85 [531]~P20(x5313)+E(x5311,x5312)+~E(f8(f8(f5(x5313),x5314),x5311),f8(f8(f5(x5313),x5314),x5312)) % 0.70/0.85 [532]~P21(x5323)+E(x5321,x5322)+~E(f8(f8(f5(x5323),x5324),x5321),f8(f8(f5(x5323),x5324),x5322)) % 0.70/0.85 [533]~P21(x5333)+E(x5331,x5332)+~E(f8(f8(f5(x5333),x5331),x5334),f8(f8(f5(x5333),x5332),x5334)) % 0.70/0.85 [633]~P6(x6334)+E(x6331,x6332)+E(f8(f16(f17(x6333,x6331,x6334),x6334),x6332),f9(x6334)) % 0.70/0.85 [665]~P30(x6651)+~P7(x6652,x6654,x6651)+P7(f8(f8(f5(x6651),x6652),x6653),f8(f8(f5(x6651),x6654),x6653),x6651) % 0.70/0.85 [666]~P31(x6661)+~P7(x6662,x6664,x6661)+P7(f8(f8(f5(x6661),x6662),x6663),f8(f8(f5(x6661),x6664),x6663),x6661) % 0.70/0.85 [667]~P30(x6671)+~P7(x6673,x6674,x6671)+P7(f8(f8(f5(x6671),x6672),x6673),f8(f8(f5(x6671),x6672),x6674),x6671) % 0.70/0.85 [668]~P31(x6681)+~P7(x6683,x6684,x6681)+P7(f8(f8(f5(x6681),x6682),x6683),f8(f8(f5(x6681),x6682),x6684),x6681) % 0.70/0.85 [669]~P31(x6691)+~P9(x6692,x6694,x6691)+P9(f8(f8(f5(x6691),x6692),x6693),f8(f8(f5(x6691),x6694),x6693),x6691) % 0.70/0.85 [670]~P32(x6701)+~P9(x6702,x6704,x6701)+P9(f8(f8(f5(x6701),x6702),x6703),f8(f8(f5(x6701),x6704),x6703),x6701) % 0.70/0.85 [671]~P31(x6711)+~P9(x6713,x6714,x6711)+P9(f8(f8(f5(x6711),x6712),x6713),f8(f8(f5(x6711),x6712),x6714),x6711) % 0.70/0.85 [672]~P32(x6721)+~P9(x6723,x6724,x6721)+P9(f8(f8(f5(x6721),x6722),x6723),f8(f8(f5(x6721),x6722),x6724),x6721) % 0.70/0.85 [764]~P31(x7643)+P7(x7641,x7642,x7643)+~P7(f8(f8(f5(x7643),x7644),x7641),f8(f8(f5(x7643),x7644),x7642),x7643) % 0.70/0.85 [765]~P31(x7653)+P7(x7651,x7652,x7653)+~P7(f8(f8(f5(x7653),x7651),x7654),f8(f8(f5(x7653),x7652),x7654),x7653) % 0.70/0.85 [766]~P31(x7663)+P9(x7661,x7662,x7663)+~P9(f8(f8(f5(x7663),x7664),x7661),f8(f8(f5(x7663),x7664),x7662),x7663) % 0.70/0.85 [767]~P31(x7673)+P9(x7671,x7672,x7673)+~P9(f8(f8(f5(x7673),x7671),x7674),f8(f8(f5(x7673),x7672),x7674),x7673) % 0.70/0.85 [632]~P16(x6323)+E(x6321,f10(x6322,x6323))+~E(f8(f8(f5(x6323),x6321),f8(f8(f5(x6323),x6324),x6322)),x6324) % 0.70/0.85 [832]~P5(x8321)+~P44(x8321)+E(f8(f8(f5(x8321),f8(f8(f11(x8321),x8322),x8323)),f8(f8(f11(x8321),x8322),x8324)),f8(f8(f5(x8321),f8(f8(f11(x8321),x8322),x8324)),f8(f8(f11(x8321),x8322),x8323))) % 0.70/0.85 [847]~P6(x8473)+E(f24(x8471,x8472,f9(f29(x8473)),x8474,x8473),x8471)+~E(f8(f8(f8(x8472,f9(x8473)),f9(f29(x8473))),x8471),x8471) % 0.70/0.85 [547]~P6(x5474)+E(x5471,x5472)+~E(f19(x5473,x5471,x5474),f19(x5475,x5472,x5474)) % 0.70/0.85 [548]~P6(x5484)+E(x5481,x5482)+~E(f19(x5481,x5483,x5484),f19(x5482,x5485,x5484)) % 0.70/0.85 [735]~P42(x7353)+~E(f8(f8(f5(f29(x7353)),x7352),f23(x7354,x7355,x7353)),f19(x7351,x7355,x7353))+E(x7351,f8(f12(x7352,x7353),x7354)) % 0.70/0.85 [706]~P16(x7061)+E(f8(f8(f5(x7061),x7062),x7063),x7064)+~E(f8(f8(f5(x7061),x7062),f8(f8(f5(x7061),x7065),x7063)),f8(f8(f5(x7061),x7065),x7064)) % 0.70/0.85 [857]~P6(x8575)+E(f24(x8571,x8572,f19(x8573,x8574,x8575),x8576,x8575),f8(f8(f8(x8572,x8573),x8574),f24(x8571,x8572,x8574,x8576,x8575)))+~E(f8(f8(f8(x8572,f9(x8575)),f9(f29(x8575))),x8571),x8571) % 0.70/0.85 [390]~E(f38(x3902),f9(a27))+E(x3901,f9(a27))+~P44(a27)+E(f8(f12(x3902,a27),x3901),f9(a27)) % 0.70/0.85 [441]~P58(x4412)+~P36(x4412)+E(x4411,f9(a30))+E(f8(f8(f26(x4412),f9(x4412)),x4411),f9(x4412)) % 0.70/0.85 [704]~P43(x7042)+P9(f9(x7042),f9(x7042),x7042)+E(x7041,f9(a30))+~P9(f9(x7042),f8(f8(f26(x7042),f9(x7042)),x7041),x7042) % 0.70/0.85 [493]P9(x4931,x4932,x4933)+~P3(x4933)+E(x4931,x4932)+P9(x4932,x4931,x4933) % 0.70/0.86 [494]P9(x4941,x4942,x4943)+~P43(x4943)+E(x4941,x4942)+P9(x4942,x4941,x4943) % 0.70/0.86 [521]~P2(x5213)+~P7(x5211,x5212,x5213)+E(x5211,x5212)+P9(x5211,x5212,x5213) % 0.70/0.86 [523]~P3(x5233)+~P7(x5231,x5232,x5233)+E(x5231,x5232)+P9(x5231,x5232,x5233) % 0.70/0.86 [553]~P7(x5532,x5531,x5533)+~P7(x5531,x5532,x5533)+E(x5531,x5532)+~P2(x5533) % 0.70/0.86 [579]P9(x5792,x5791,x5793)+~P37(x5793)+~P7(x5792,x5791,x5793)+P7(x5791,x5792,x5793) % 0.70/0.86 [392]~P44(x3923)+~P14(x3923)+E(x3921,x3922)+~E(f12(x3921,x3923),f12(x3922,x3923)) % 0.70/0.86 [500]~P44(x5002)+E(x5001,f9(x5002))+~E(f23(x5001,x5003,x5002),f9(f29(x5002)))+E(x5003,f9(f29(x5002))) % 0.70/0.86 [537]~P44(x5372)+~E(f20(x5373,x5371,x5372),f9(a30))+~E(f8(f12(x5371,x5372),x5373),f9(x5372))+E(x5371,f9(f29(x5372))) % 0.70/0.86 [464]~P5(x4642)+~P44(x4642)+E(x4641,f9(x4642))+~E(f8(f8(f5(x4642),x4643),x4641),x4643) % 0.70/0.86 [466]~P47(x4662)+E(x4661,f9(x4662))+E(x4663,f9(x4662))+~E(f8(f8(f11(x4662),x4663),x4661),f9(x4662)) % 0.70/0.86 [467]~P61(x4672)+E(x4671,f9(x4672))+E(x4673,f9(x4672))+~E(f8(f8(f11(x4672),x4673),x4671),f9(x4672)) % 0.70/0.86 [560]~P44(x5603)+E(x5601,x5602)+E(x5601,f10(x5602,x5603))+~E(f8(f8(f11(x5603),x5601),x5601),f8(f8(f11(x5603),x5602),x5602)) % 0.70/0.86 [662]~P43(x6622)+P7(x6621,f9(x6622),x6622)+E(x6621,f9(x6622))+~P7(f8(f8(f26(x6622),x6621),x6623),f9(x6622),x6622) % 0.70/0.86 [677]~P1(x6771)+~P7(x6773,f9(x6771),x6771)+~P7(x6772,f9(x6771),x6771)+P7(f9(x6771),f8(f8(f11(x6771),x6772),x6773),x6771) % 0.70/0.86 [679]~P50(x6791)+~P7(x6793,f9(x6791),x6791)+~P7(x6792,f9(x6791),x6791)+P7(f9(x6791),f8(f8(f11(x6791),x6792),x6793),x6791) % 0.70/0.86 [680]~P1(x6801)+~P9(x6803,f9(x6801),x6801)+~P9(x6802,f9(x6801),x6801)+P9(f9(x6801),f8(f8(f11(x6801),x6802),x6803),x6801) % 0.70/0.86 [681]~P1(x6811)+~P7(f9(x6811),x6813,x6811)+~P7(f9(x6811),x6812,x6811)+P7(f9(x6811),f8(f8(f11(x6811),x6812),x6813),x6811) % 0.70/0.86 [682]~P50(x6821)+~P7(f9(x6821),x6823,x6821)+~P7(f9(x6821),x6822,x6821)+P7(f9(x6821),f8(f8(f11(x6821),x6822),x6823),x6821) % 0.70/0.86 [683]~P51(x6831)+~P7(f9(x6831),x6833,x6831)+~P7(f9(x6831),x6832,x6831)+P7(f9(x6831),f8(f8(f11(x6831),x6832),x6833),x6831) % 0.70/0.86 [684]~P28(x6841)+~P7(f9(x6841),x6843,x6841)+~P7(f9(x6841),x6842,x6841)+P7(f9(x6841),f8(f8(f5(x6841),x6842),x6843),x6841) % 0.70/0.86 [685]~P53(x6851)+~P9(f9(x6851),x6853,x6851)+~P9(f9(x6851),x6852,x6851)+P9(f9(x6851),f8(f8(f11(x6851),x6852),x6853),x6851) % 0.70/0.86 [686]~P28(x6861)+~P7(f9(x6861),x6863,x6861)+~P9(f9(x6861),x6862,x6861)+P9(f9(x6861),f8(f8(f5(x6861),x6862),x6863),x6861) % 0.70/0.86 [687]~P28(x6871)+~P7(f9(x6871),x6872,x6871)+~P9(f9(x6871),x6873,x6871)+P9(f9(x6871),f8(f8(f5(x6871),x6872),x6873),x6871) % 0.70/0.86 [688]~P28(x6881)+~P9(f9(x6881),x6883,x6881)+~P9(f9(x6881),x6882,x6881)+P9(f9(x6881),f8(f8(f5(x6881),x6882),x6883),x6881) % 0.70/0.86 [689]~P52(x6891)+~P9(f6(x6891),x6893,x6891)+~P9(f6(x6891),x6892,x6891)+P9(f6(x6891),f8(f8(f11(x6891),x6892),x6893),x6891) % 0.70/0.86 [690]~P28(x6901)+~P7(x6903,f9(x6901),x6901)+~P7(x6902,f9(x6901),x6901)+P7(f8(f8(f5(x6901),x6902),x6903),f9(x6901),x6901) % 0.70/0.86 [691]~P28(x6911)+~P7(x6913,f9(x6911),x6911)+~P9(x6912,f9(x6911),x6911)+P9(f8(f8(f5(x6911),x6912),x6913),f9(x6911),x6911) % 0.70/0.86 [692]~P28(x6921)+~P7(x6922,f9(x6921),x6921)+~P9(x6923,f9(x6921),x6921)+P9(f8(f8(f5(x6921),x6922),x6923),f9(x6921),x6921) % 0.70/0.86 [693]~P28(x6931)+~P9(x6933,f9(x6931),x6931)+~P9(x6932,f9(x6931),x6931)+P9(f8(f8(f5(x6931),x6932),x6933),f9(x6931),x6931) % 0.70/0.86 [694]~P1(x6941)+~P7(x6943,f9(x6941),x6941)+~P7(f9(x6941),x6942,x6941)+P7(f8(f8(f11(x6941),x6942),x6943),f9(x6941),x6941) % 0.70/0.86 [695]~P1(x6951)+~P7(x6952,f9(x6951),x6951)+~P7(f9(x6951),x6953,x6951)+P7(f8(f8(f11(x6951),x6952),x6953),f9(x6951),x6951) % 0.70/0.86 [697]~P51(x6971)+~P7(x6973,f9(x6971),x6971)+~P7(f9(x6971),x6972,x6971)+P7(f8(f8(f11(x6971),x6972),x6973),f9(x6971),x6971) % 0.70/0.86 [700]~P51(x7001)+~P7(x7002,f9(x7001),x7001)+~P7(f9(x7001),x7003,x7001)+P7(f8(f8(f11(x7001),x7002),x7003),f9(x7001),x7001) % 0.70/0.86 [701]~P53(x7011)+~P9(x7013,f9(x7011),x7011)+~P9(f9(x7011),x7012,x7011)+P9(f8(f8(f11(x7011),x7012),x7013),f9(x7011),x7011) % 0.70/0.86 [703]~P53(x7031)+~P9(x7032,f9(x7031),x7031)+~P9(f9(x7031),x7033,x7031)+P9(f8(f8(f11(x7031),x7032),x7033),f9(x7031),x7031) % 0.70/0.86 [707]~P1(x7072)+P7(x7071,f9(x7072),x7072)+P7(x7073,f9(x7072),x7072)+~P7(f8(f8(f11(x7072),x7073),x7071),f9(x7072),x7072) % 0.70/0.86 [708]~P1(x7082)+P7(x7081,f9(x7082),x7082)+P7(f9(x7082),x7083,x7082)+~P7(f9(x7082),f8(f8(f11(x7082),x7083),x7081),x7082) % 0.70/0.86 [709]~P1(x7092)+P7(x7091,f9(x7092),x7092)+P7(f9(x7092),x7093,x7092)+~P7(f9(x7092),f8(f8(f11(x7092),x7091),x7093),x7092) % 0.70/0.86 [710]~P1(x7102)+P7(x7101,f9(x7102),x7102)+P7(f9(x7102),x7101,x7102)+~P7(f9(x7102),f8(f8(f11(x7102),x7103),x7101),x7102) % 0.70/0.86 [711]~P1(x7112)+P7(x7111,f9(x7112),x7112)+P7(f9(x7112),x7111,x7112)+~P7(f9(x7112),f8(f8(f11(x7112),x7111),x7113),x7112) % 0.70/0.86 [712]~P1(x7122)+P7(x7121,f9(x7122),x7122)+P7(f9(x7122),x7121,x7122)+~P7(f8(f8(f11(x7122),x7123),x7121),f9(x7122),x7122) % 0.70/0.86 [713]~P1(x7132)+P7(x7131,f9(x7132),x7132)+P7(f9(x7132),x7131,x7132)+~P7(f8(f8(f11(x7132),x7131),x7133),f9(x7132),x7132) % 0.70/0.86 [714]~P1(x7141)+P7(f9(x7141),x7142,x7141)+P7(f9(x7141),x7143,x7141)+~P7(f8(f8(f11(x7141),x7142),x7143),f9(x7141),x7141) % 0.70/0.86 [733]~P53(x7331)+P9(f9(x7331),x7332,x7331)+~P9(f9(x7331),x7333,x7331)+~P9(f9(x7331),f8(f8(f11(x7331),x7333),x7332),x7331) % 0.70/0.86 [734]~P53(x7341)+P9(f9(x7341),x7342,x7341)+~P9(f9(x7341),x7343,x7341)+~P9(f9(x7341),f8(f8(f11(x7341),x7342),x7343),x7341) % 0.70/0.86 [788]~P52(x7881)+~P9(x7882,f6(x7881),x7881)+~P9(f9(x7881),x7882,x7881)+P9(f8(f8(f26(x7881),x7882),f8(f8(f5(a30),x7883),f6(a30))),f6(x7881),x7881) % 0.70/0.86 [825]~P52(x8251)+~P9(x8252,f6(x8251),x8251)+~P9(f9(x8251),x8252,x8251)+P9(f8(f8(f11(x8251),x8252),f8(f8(f26(x8251),x8252),x8253)),f8(f8(f26(x8251),x8252),x8253),x8251) % 0.70/0.86 [607]~P2(x6073)+~P7(x6071,x6074,x6073)+P7(x6071,x6072,x6073)+~P7(x6074,x6072,x6073) % 0.70/0.86 [608]~P37(x6083)+~P7(x6081,x6084,x6083)+P7(x6081,x6082,x6083)+~P7(x6084,x6082,x6083) % 0.70/0.86 [609]~P2(x6093)+~P9(x6091,x6094,x6093)+P9(x6091,x6092,x6093)+~P7(x6094,x6092,x6093) % 0.70/0.86 [610]~P2(x6103)+~P9(x6104,x6102,x6103)+P9(x6101,x6102,x6103)+~P7(x6101,x6104,x6103) % 0.70/0.86 [611]~P2(x6113)+~P9(x6111,x6114,x6113)+P9(x6111,x6112,x6113)+~P9(x6114,x6112,x6113) % 0.70/0.86 [612]~P37(x6123)+~P9(x6121,x6124,x6123)+P9(x6121,x6122,x6123)+~P7(x6124,x6122,x6123) % 0.70/0.86 [613]~P37(x6133)+~P9(x6134,x6132,x6133)+P9(x6131,x6132,x6133)+~P7(x6131,x6134,x6133) % 0.70/0.86 [614]~P37(x6143)+~P9(x6141,x6144,x6143)+P9(x6141,x6142,x6143)+~P9(x6144,x6142,x6143) % 0.70/0.86 [550]~P5(x5503)+~P44(x5503)+E(x5501,x5502)+~E(f8(f8(f5(x5503),x5504),x5501),f8(f8(f5(x5503),x5504),x5502)) % 0.70/0.86 [634]~P52(x6343)+E(x6341,x6342)+~P9(f6(x6343),x6344,x6343)+~E(f8(f8(f26(x6343),x6344),x6341),f8(f8(f26(x6343),x6344),x6342)) % 0.70/0.86 [664]~P52(x6642)+~P9(x6641,x6644,x6642)+~P9(f9(x6642),x6643,x6642)+P9(x6641,f8(f8(f5(x6642),x6643),x6644),x6642) % 0.70/0.86 [742]~P50(x7421)+~P7(x7424,x7422,x7421)+~P7(x7423,f9(x7421),x7421)+P7(f8(f8(f11(x7421),x7422),x7423),f8(f8(f11(x7421),x7424),x7423),x7421) % 0.70/0.86 [743]~P1(x7431)+~P7(x7434,x7433,x7431)+~P9(x7432,f9(x7431),x7431)+P7(f8(f8(f11(x7431),x7432),x7433),f8(f8(f11(x7431),x7432),x7434),x7431) % 0.70/0.86 [744]~P50(x7441)+~P7(x7444,x7443,x7441)+~P7(x7442,f9(x7441),x7441)+P7(f8(f8(f11(x7441),x7442),x7443),f8(f8(f11(x7441),x7442),x7444),x7441) % 0.70/0.86 [746]~P1(x7461)+~P9(x7464,x7462,x7461)+~P9(x7463,f9(x7461),x7461)+P9(f8(f8(f11(x7461),x7462),x7463),f8(f8(f11(x7461),x7464),x7463),x7461) % 0.70/0.86 [749]~P1(x7491)+~P9(x7494,x7493,x7491)+~P9(x7492,f9(x7491),x7491)+P9(f8(f8(f11(x7491),x7492),x7493),f8(f8(f11(x7491),x7492),x7494),x7491) % 0.70/0.86 [750]~P45(x7501)+~P7(x7502,x7504,x7501)+~P7(f9(x7501),x7503,x7501)+P7(f8(f8(f11(x7501),x7502),x7503),f8(f8(f11(x7501),x7504),x7503),x7501) % 0.70/0.86 [751]~P1(x7511)+~P7(x7513,x7514,x7511)+~P9(f9(x7511),x7512,x7511)+P7(f8(f8(f11(x7511),x7512),x7513),f8(f8(f11(x7511),x7512),x7514),x7511) % 0.70/0.86 [752]~P45(x7521)+~P7(x7523,x7524,x7521)+~P7(f9(x7521),x7522,x7521)+P7(f8(f8(f11(x7521),x7522),x7523),f8(f8(f11(x7521),x7522),x7524),x7521) % 0.70/0.86 [753]~P46(x7531)+~P7(x7533,x7534,x7531)+~P7(f9(x7531),x7532,x7531)+P7(f8(f8(f11(x7531),x7532),x7533),f8(f8(f11(x7531),x7532),x7534),x7531) % 0.70/0.86 [754]~P52(x7541)+~P7(x7542,x7544,x7541)+~P7(f9(x7541),x7542,x7541)+P7(f8(f8(f26(x7541),x7542),x7543),f8(f8(f26(x7541),x7544),x7543),x7541) % 0.70/0.86 [755]~P1(x7551)+~P9(x7552,x7554,x7551)+~P9(f9(x7551),x7553,x7551)+P9(f8(f8(f11(x7551),x7552),x7553),f8(f8(f11(x7551),x7554),x7553),x7551) % 0.70/0.86 [756]~P53(x7561)+~P9(x7562,x7564,x7561)+~P9(f9(x7561),x7563,x7561)+P9(f8(f8(f11(x7561),x7562),x7563),f8(f8(f11(x7561),x7564),x7563),x7561) % 0.70/0.86 [758]~P1(x7581)+~P9(x7583,x7584,x7581)+~P9(f9(x7581),x7582,x7581)+P9(f8(f8(f11(x7581),x7582),x7583),f8(f8(f11(x7581),x7582),x7584),x7581) % 0.70/0.86 [759]~P53(x7591)+~P9(x7593,x7594,x7591)+~P9(f9(x7591),x7592,x7591)+P9(f8(f8(f11(x7591),x7592),x7593),f8(f8(f11(x7591),x7592),x7594),x7591) % 0.70/0.86 [760]~P49(x7601)+~P9(x7603,x7604,x7601)+~P9(f9(x7601),x7602,x7601)+P9(f8(f8(f11(x7601),x7602),x7603),f8(f8(f11(x7601),x7602),x7604),x7601) % 0.70/0.86 [779]P9(x7792,x7791,x7793)+~P1(x7793)+P9(x7791,x7792,x7793)+~P9(f8(f8(f11(x7793),x7794),x7791),f8(f8(f11(x7793),x7794),x7792),x7793) % 0.70/0.86 [780]P9(x7802,x7801,x7803)+~P1(x7803)+P9(x7801,x7802,x7803)+~P9(f8(f8(f11(x7803),x7801),x7804),f8(f8(f11(x7803),x7802),x7804),x7803) % 0.70/0.86 [781]~P1(x7813)+P9(x7811,x7812,x7813)+P9(x7814,f9(x7813),x7813)+~P9(f8(f8(f11(x7813),x7811),x7814),f8(f8(f11(x7813),x7812),x7814),x7813) % 0.70/0.86 [782]~P1(x7823)+P9(x7821,x7822,x7823)+P9(x7824,f9(x7823),x7823)+~P9(f8(f8(f11(x7823),x7824),x7821),f8(f8(f11(x7823),x7824),x7822),x7823) % 0.70/0.86 [783]~P1(x7833)+P9(x7831,x7832,x7833)+P9(f9(x7833),x7834,x7833)+~P9(f8(f8(f11(x7833),x7834),x7832),f8(f8(f11(x7833),x7834),x7831),x7833) % 0.70/0.86 [784]~P1(x7843)+P9(x7841,x7842,x7843)+P9(f9(x7843),x7844,x7843)+~P9(f8(f8(f11(x7843),x7842),x7844),f8(f8(f11(x7843),x7841),x7844),x7843) % 0.70/0.86 [785]~P1(x7852)+P9(x7851,f9(x7852),x7852)+P9(f9(x7852),x7851,x7852)+~P9(f8(f8(f11(x7852),x7853),x7851),f8(f8(f11(x7852),x7854),x7851),x7852) % 0.70/0.86 [786]~P1(x7862)+P9(x7861,f9(x7862),x7862)+P9(f9(x7862),x7861,x7862)+~P9(f8(f8(f11(x7862),x7861),x7863),f8(f8(f11(x7862),x7861),x7864),x7862) % 0.70/0.86 [791]~P1(x7913)+P7(x7911,x7912,x7913)+~P9(x7914,f9(x7913),x7913)+~P7(f8(f8(f11(x7913),x7914),x7912),f8(f8(f11(x7913),x7914),x7911),x7913) % 0.70/0.86 [792]~P1(x7923)+P9(x7921,x7922,x7923)+~P9(x7924,f9(x7923),x7923)+~P9(f8(f8(f11(x7923),x7924),x7922),f8(f8(f11(x7923),x7924),x7921),x7923) % 0.70/0.86 [793]~P1(x7933)+P7(x7931,x7932,x7933)+~P9(f9(x7933),x7934,x7933)+~P7(f8(f8(f11(x7933),x7934),x7931),f8(f8(f11(x7933),x7934),x7932),x7933) % 0.70/0.86 [794]~P53(x7943)+P7(x7941,x7942,x7943)+~P9(f9(x7943),x7944,x7943)+~P7(f8(f8(f11(x7943),x7944),x7941),f8(f8(f11(x7943),x7944),x7942),x7943) % 0.70/0.86 [795]~P53(x7953)+P7(x7951,x7952,x7953)+~P9(f9(x7953),x7954,x7953)+~P7(f8(f8(f11(x7953),x7951),x7954),f8(f8(f11(x7953),x7952),x7954),x7953) % 0.70/0.86 [796]~P1(x7963)+P9(x7961,x7962,x7963)+~P9(f9(x7963),x7964,x7963)+~P9(f8(f8(f11(x7963),x7964),x7961),f8(f8(f11(x7963),x7964),x7962),x7963) % 0.70/0.86 [797]~P52(x7973)+P9(x7971,x7972,x7973)+~P7(f9(x7973),x7972,x7973)+~P9(f8(f8(f26(x7973),x7971),x7974),f8(f8(f26(x7973),x7972),x7974),x7973) % 0.70/0.86 [798]~P53(x7983)+P9(x7981,x7982,x7983)+~P7(f9(x7983),x7984,x7983)+~P9(f8(f8(f11(x7983),x7984),x7981),f8(f8(f11(x7983),x7984),x7982),x7983) % 0.70/0.86 [799]~P53(x7993)+P9(x7991,x7992,x7993)+~P7(f9(x7993),x7994,x7993)+~P9(f8(f8(f11(x7993),x7991),x7994),f8(f8(f11(x7993),x7992),x7994),x7993) % 0.70/0.86 [800]~P54(x8003)+P9(x8001,x8002,x8003)+~P7(f9(x8003),x8004,x8003)+~P9(f8(f8(f11(x8003),x8004),x8001),f8(f8(f11(x8003),x8004),x8002),x8003) % 0.70/0.86 [801]~P54(x8013)+P9(x8011,x8012,x8013)+~P7(f9(x8013),x8014,x8013)+~P9(f8(f8(f11(x8013),x8011),x8014),f8(f8(f11(x8013),x8012),x8014),x8013) % 0.70/0.86 [842]~P52(x8423)+P7(x8421,x8422,x8423)+~P7(f9(x8423),x8422,x8423)+~P7(f8(f8(f26(x8423),x8421),f8(f8(f5(a30),x8424),f6(a30))),f8(f8(f26(x8423),x8422),f8(f8(f5(a30),x8424),f6(a30))),x8423) % 0.70/0.86 [737]~P30(x7371)+~P7(x7373,x7375,x7371)+~P7(x7372,x7374,x7371)+P7(f8(f8(f5(x7371),x7372),x7373),f8(f8(f5(x7371),x7374),x7375),x7371) % 0.70/0.86 [738]~P32(x7381)+~P7(x7383,x7385,x7381)+~P9(x7382,x7384,x7381)+P9(f8(f8(f5(x7381),x7382),x7383),f8(f8(f5(x7381),x7384),x7385),x7381) % 0.70/0.86 [739]~P32(x7391)+~P7(x7392,x7394,x7391)+~P9(x7393,x7395,x7391)+P9(f8(f8(f5(x7391),x7392),x7393),f8(f8(f5(x7391),x7394),x7395),x7391) % 0.70/0.86 [740]~P32(x7401)+~P9(x7403,x7405,x7401)+~P9(x7402,x7404,x7401)+P9(f8(f8(f5(x7401),x7402),x7403),f8(f8(f5(x7401),x7404),x7405),x7401) % 0.70/0.86 [770]~P29(x7702)+~P7(x7705,x7704,x7702)+~P7(x7701,f8(f8(f5(x7702),x7703),x7705),x7702)+P7(x7701,f8(f8(f5(x7702),x7703),x7704),x7702) % 0.70/0.86 [498]~P63(x4981)+~P36(x4981)+~P47(x4981)+~P48(x4981)+~E(f8(f8(f26(x4981),x4982),f9(a30)),f9(x4981)) % 0.70/0.86 [639]~P28(x6392)+~P7(f9(x6392),x6391,x6392)+~P7(f9(x6392),x6393,x6392)+E(x6391,f9(x6392))+~E(f8(f8(f5(x6392),x6393),x6391),f9(x6392)) % 0.70/0.86 [640]~P28(x6402)+~P7(f9(x6402),x6403,x6402)+~P7(f9(x6402),x6401,x6402)+E(x6401,f9(x6402))+~E(f8(f8(f5(x6402),x6401),x6403),f9(x6402)) % 0.70/0.86 [761]~P43(x7611)+~P7(x7612,f6(x7611),x7611)+~P7(f9(x7611),x7613,x7611)+~P7(f9(x7611),x7612,x7611)+P7(f8(f8(f11(x7611),x7612),x7613),x7613,x7611) % 0.70/0.86 [762]~P43(x7621)+~P7(x7623,f6(x7621),x7621)+~P7(f9(x7621),x7623,x7621)+~P7(f9(x7621),x7622,x7621)+P7(f8(f8(f11(x7621),x7622),x7623),x7622,x7621) % 0.70/0.86 [673]~P19(x6732)+~P31(x6732)+~P7(x6731,x6734,x6732)+~P7(f9(x6732),x6733,x6732)+P7(x6731,f8(f8(f5(x6732),x6733),x6734),x6732) % 0.70/0.86 [674]~P19(x6742)+~P31(x6742)+~P7(x6741,x6743,x6742)+~P7(f9(x6742),x6744,x6742)+P7(x6741,f8(f8(f5(x6742),x6743),x6744),x6742) % 0.70/0.86 [675]~P19(x6752)+~P31(x6752)+~P7(x6751,x6754,x6752)+~P9(f9(x6752),x6753,x6752)+P9(x6751,f8(f8(f5(x6752),x6753),x6754),x6752) % 0.70/0.86 [676]~P19(x6762)+~P31(x6762)+~P9(x6761,x6764,x6762)+~P7(f9(x6762),x6763,x6762)+P9(x6761,f8(f8(f5(x6762),x6763),x6764),x6762) % 0.70/0.86 [826]~P52(x8263)+E(x8261,x8262)+~P7(f9(x8263),x8262,x8263)+~P7(f9(x8263),x8261,x8263)+~E(f8(f8(f26(x8263),x8261),f8(f8(f5(a30),x8264),f6(a30))),f8(f8(f26(x8263),x8262),f8(f8(f5(a30),x8264),f6(a30)))) % 0.70/0.86 [771]~P5(x7714)+~P44(x7714)+E(x7711,x7712)+E(x7713,f9(x7714))+~E(f8(f8(f5(x7714),x7715),f8(f8(f11(x7714),x7713),x7711)),f8(f8(f5(x7714),x7715),f8(f8(f11(x7714),x7713),x7712))) % 0.70/0.86 [841]~P5(x8415)+~P44(x8415)+E(x8411,x8412)+E(x8413,x8414)+~E(f8(f8(f5(x8415),f8(f8(f11(x8415),x8413),x8411)),f8(f8(f11(x8415),x8414),x8412)),f8(f8(f5(x8415),f8(f8(f11(x8415),x8413),x8412)),f8(f8(f11(x8415),x8414),x8411))) % 0.70/0.86 [462]~P63(x4622)+~P36(x4622)+~P47(x4622)+~P48(x4622)+E(x4621,f9(a30))+E(f8(f8(f26(x4622),f9(x4622)),x4621),f9(x4622)) % 0.70/0.86 [499]~P63(x4992)+~P36(x4992)+~P47(x4992)+~P48(x4992)+E(x4991,f9(x4992))+~E(f8(f8(f26(x4992),x4991),x4993),f9(x4992)) % 0.70/0.86 [816]~P56(x8161)+~P7(x8163,x8165,x8161)+~P7(x8162,x8164,x8161)+~P7(f9(x8161),x8164,x8161)+~P7(f9(x8161),x8163,x8161)+P7(f8(f8(f11(x8161),x8162),x8163),f8(f8(f11(x8161),x8164),x8165),x8161) % 0.70/0.86 [817]~P56(x8171)+~P7(x8173,x8175,x8171)+~P7(x8172,x8174,x8171)+~P7(f9(x8171),x8173,x8171)+~P7(f9(x8171),x8172,x8171)+P7(f8(f8(f11(x8171),x8172),x8173),f8(f8(f11(x8171),x8174),x8175),x8171) % 0.70/0.86 [818]~P53(x8181)+~P7(x8183,x8185,x8181)+~P9(x8182,x8184,x8181)+~P7(f9(x8181),x8182,x8181)+~P9(f9(x8181),x8183,x8181)+P9(f8(f8(f11(x8181),x8182),x8183),f8(f8(f11(x8181),x8184),x8185),x8181) % 0.70/0.86 [819]~P53(x8191)+~P7(x8192,x8194,x8191)+~P9(x8193,x8195,x8191)+~P7(f9(x8191),x8193,x8191)+~P9(f9(x8191),x8192,x8191)+P9(f8(f8(f11(x8191),x8192),x8193),f8(f8(f11(x8191),x8194),x8195),x8191) % 0.70/0.86 [820]~P53(x8201)+~P9(x8203,x8205,x8201)+~P9(x8202,x8204,x8201)+~P7(f9(x8201),x8203,x8201)+~P7(f9(x8201),x8202,x8201)+P9(f8(f8(f11(x8201),x8202),x8203),f8(f8(f11(x8201),x8204),x8205),x8201) % 0.70/0.86 [821]~P53(x8211)+~P9(x8213,x8215,x8211)+~P9(x8212,x8214,x8211)+~P7(f9(x8211),x8213,x8211)+~P9(f9(x8211),x8214,x8211)+P9(f8(f8(f11(x8211),x8212),x8213),f8(f8(f11(x8211),x8214),x8215),x8211) % 0.70/0.86 %EqnAxiom % 0.70/0.86 [1]E(x11,x11) % 0.70/0.86 [2]E(x22,x21)+~E(x21,x22) % 0.70/0.86 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 0.70/0.86 [4]~E(x41,x42)+E(f3(x41,x43),f3(x42,x43)) % 0.70/0.86 [5]~E(x51,x52)+E(f3(x53,x51),f3(x53,x52)) % 0.70/0.86 [6]~E(x61,x62)+E(f24(x61,x63,x64,x65,x66),f24(x62,x63,x64,x65,x66)) % 0.70/0.86 [7]~E(x71,x72)+E(f24(x73,x71,x74,x75,x76),f24(x73,x72,x74,x75,x76)) % 0.70/0.86 [8]~E(x81,x82)+E(f24(x83,x84,x81,x85,x86),f24(x83,x84,x82,x85,x86)) % 0.70/0.86 [9]~E(x91,x92)+E(f24(x93,x94,x95,x91,x96),f24(x93,x94,x95,x92,x96)) % 0.70/0.86 [10]~E(x101,x102)+E(f24(x103,x104,x105,x106,x101),f24(x103,x104,x105,x106,x102)) % 0.70/0.86 [11]~E(x111,x112)+E(f19(x111,x113,x114),f19(x112,x113,x114)) % 0.70/0.86 [12]~E(x121,x122)+E(f19(x123,x121,x124),f19(x123,x122,x124)) % 0.70/0.86 [13]~E(x131,x132)+E(f19(x133,x134,x131),f19(x133,x134,x132)) % 0.70/0.86 [14]~E(x141,x142)+E(f5(x141),f5(x142)) % 0.70/0.86 [15]~E(x151,x152)+E(f8(x151,x153),f8(x152,x153)) % 0.70/0.86 [16]~E(x161,x162)+E(f8(x163,x161),f8(x163,x162)) % 0.70/0.86 [17]~E(x171,x172)+E(f9(x171),f9(x172)) % 0.70/0.86 [18]~E(x181,x182)+E(f11(x181),f11(x182)) % 0.70/0.86 [19]~E(x191,x192)+E(f26(x191),f26(x192)) % 0.70/0.86 [20]~E(x201,x202)+E(f15(x201,x203),f15(x202,x203)) % 0.70/0.86 [21]~E(x211,x212)+E(f15(x213,x211),f15(x213,x212)) % 0.70/0.86 [22]~E(x221,x222)+E(f6(x221),f6(x222)) % 0.70/0.86 [23]~E(x231,x232)+E(f29(x231),f29(x232)) % 0.70/0.86 [24]~E(x241,x242)+E(f37(x241,x243),f37(x242,x243)) % 0.70/0.86 [25]~E(x251,x252)+E(f37(x253,x251),f37(x253,x252)) % 0.70/0.86 [26]~E(x261,x262)+E(f18(x261,x263,x264),f18(x262,x263,x264)) % 0.86/0.86 [27]~E(x271,x272)+E(f18(x273,x271,x274),f18(x273,x272,x274)) % 0.86/0.86 [28]~E(x281,x282)+E(f18(x283,x284,x281),f18(x283,x284,x282)) % 0.86/0.86 [29]~E(x291,x292)+E(f7(x291,x293,x294,x295),f7(x292,x293,x294,x295)) % 0.86/0.86 [30]~E(x301,x302)+E(f7(x303,x301,x304,x305),f7(x303,x302,x304,x305)) % 0.86/0.86 [31]~E(x311,x312)+E(f7(x313,x314,x311,x315),f7(x313,x314,x312,x315)) % 0.86/0.86 [32]~E(x321,x322)+E(f7(x323,x324,x325,x321),f7(x323,x324,x325,x322)) % 0.86/0.86 [33]~E(x331,x332)+E(f23(x331,x333,x334),f23(x332,x333,x334)) % 0.86/0.86 [34]~E(x341,x342)+E(f23(x343,x341,x344),f23(x343,x342,x344)) % 0.86/0.86 [35]~E(x351,x352)+E(f23(x353,x354,x351),f23(x353,x354,x352)) % 0.86/0.86 [36]~E(x361,x362)+E(f10(x361,x363),f10(x362,x363)) % 0.86/0.86 [37]~E(x371,x372)+E(f10(x373,x371),f10(x373,x372)) % 0.86/0.86 [38]~E(x381,x382)+E(f21(x381,x383,x384),f21(x382,x383,x384)) % 0.86/0.86 [39]~E(x391,x392)+E(f21(x393,x391,x394),f21(x393,x392,x394)) % 0.86/0.86 [40]~E(x401,x402)+E(f21(x403,x404,x401),f21(x403,x404,x402)) % 0.86/0.86 [41]~E(x411,x412)+E(f17(x411,x413,x414),f17(x412,x413,x414)) % 0.86/0.86 [42]~E(x421,x422)+E(f17(x423,x421,x424),f17(x423,x422,x424)) % 0.86/0.86 [43]~E(x431,x432)+E(f17(x433,x434,x431),f17(x433,x434,x432)) % 0.86/0.86 [44]~E(x441,x442)+E(f13(x441,x443),f13(x442,x443)) % 0.86/0.86 [45]~E(x451,x452)+E(f13(x453,x451),f13(x453,x452)) % 0.86/0.86 [46]~E(x461,x462)+E(f20(x461,x463,x464),f20(x462,x463,x464)) % 0.86/0.86 [47]~E(x471,x472)+E(f20(x473,x471,x474),f20(x473,x472,x474)) % 0.86/0.86 [48]~E(x481,x482)+E(f20(x483,x484,x481),f20(x483,x484,x482)) % 0.86/0.86 [49]~E(x491,x492)+E(f12(x491,x493),f12(x492,x493)) % 0.86/0.86 [50]~E(x501,x502)+E(f12(x503,x501),f12(x503,x502)) % 0.86/0.86 [51]~E(x511,x512)+E(f22(x511,x513,x514),f22(x512,x513,x514)) % 0.86/0.86 [52]~E(x521,x522)+E(f22(x523,x521,x524),f22(x523,x522,x524)) % 0.86/0.86 [53]~E(x531,x532)+E(f22(x533,x534,x531),f22(x533,x534,x532)) % 0.86/0.86 [54]~E(x541,x542)+E(f39(x541),f39(x542)) % 0.86/0.86 [55]~E(x551,x552)+E(f31(x551,x553),f31(x552,x553)) % 0.86/0.86 [56]~E(x561,x562)+E(f31(x563,x561),f31(x563,x562)) % 0.86/0.86 [57]~E(x571,x572)+E(f16(x571,x573),f16(x572,x573)) % 0.86/0.86 [58]~E(x581,x582)+E(f16(x583,x581),f16(x583,x582)) % 0.86/0.86 [59]~E(x591,x592)+E(f4(x591,x593,x594),f4(x592,x593,x594)) % 0.86/0.86 [60]~E(x601,x602)+E(f4(x603,x601,x604),f4(x603,x602,x604)) % 0.86/0.86 [61]~E(x611,x612)+E(f4(x613,x614,x611),f4(x613,x614,x612)) % 0.86/0.86 [62]~E(x621,x622)+E(f14(x621,x623,x624,x625,x626),f14(x622,x623,x624,x625,x626)) % 0.86/0.86 [63]~E(x631,x632)+E(f14(x633,x631,x634,x635,x636),f14(x633,x632,x634,x635,x636)) % 0.86/0.86 [64]~E(x641,x642)+E(f14(x643,x644,x641,x645,x646),f14(x643,x644,x642,x645,x646)) % 0.86/0.86 [65]~E(x651,x652)+E(f14(x653,x654,x655,x651,x656),f14(x653,x654,x655,x652,x656)) % 0.86/0.86 [66]~E(x661,x662)+E(f14(x663,x664,x665,x666,x661),f14(x663,x664,x665,x666,x662)) % 0.86/0.86 [67]~E(x671,x672)+E(f38(x671),f38(x672)) % 0.86/0.86 [68]~E(x681,x682)+E(f41(x681),f41(x682)) % 0.86/0.86 [69]~E(x691,x692)+E(f42(x691),f42(x692)) % 0.86/0.86 [70]~E(x701,x702)+E(f40(x701),f40(x702)) % 0.86/0.86 [71]~E(x711,x712)+E(f25(x711,x713),f25(x712,x713)) % 0.86/0.86 [72]~E(x721,x722)+E(f25(x723,x721),f25(x723,x722)) % 0.86/0.86 [73]~P1(x731)+P1(x732)+~E(x731,x732) % 0.86/0.86 [74]~P50(x741)+P50(x742)+~E(x741,x742) % 0.86/0.86 [75]~P2(x751)+P2(x752)+~E(x751,x752) % 0.86/0.86 [76]~P42(x761)+P42(x762)+~E(x761,x762) % 0.86/0.86 [77]~P3(x771)+P3(x772)+~E(x771,x772) % 0.86/0.86 [78]P9(x782,x783,x784)+~E(x781,x782)+~P9(x781,x783,x784) % 0.86/0.86 [79]P9(x793,x792,x794)+~E(x791,x792)+~P9(x793,x791,x794) % 0.86/0.86 [80]P9(x803,x804,x802)+~E(x801,x802)+~P9(x803,x804,x801) % 0.86/0.86 [81]~P4(x811)+P4(x812)+~E(x811,x812) % 0.86/0.86 [82]~P53(x821)+P53(x822)+~E(x821,x822) % 0.86/0.86 [83]P7(x832,x833,x834)+~E(x831,x832)+~P7(x831,x833,x834) % 0.86/0.86 [84]P7(x843,x842,x844)+~E(x841,x842)+~P7(x843,x841,x844) % 0.86/0.86 [85]P7(x853,x854,x852)+~E(x851,x852)+~P7(x853,x854,x851) % 0.86/0.86 [86]~P34(x861)+P34(x862)+~E(x861,x862) % 0.86/0.86 [87]~P16(x871)+P16(x872)+~E(x871,x872) % 0.86/0.86 [88]~P18(x881)+P18(x882)+~E(x881,x882) % 0.86/0.86 [89]~P51(x891)+P51(x892)+~E(x891,x892) % 0.86/0.86 [90]~P28(x901)+P28(x902)+~E(x901,x902) % 0.86/0.86 [91]~P5(x911)+P5(x912)+~E(x911,x912) % 0.86/0.86 [92]~P19(x921)+P19(x922)+~E(x921,x922) % 0.86/0.86 [93]~P12(x931)+P12(x932)+~E(x931,x932) % 0.86/0.86 [94]~P21(x941)+P21(x942)+~E(x941,x942) % 0.86/0.86 [95]~P55(x951)+P55(x952)+~E(x951,x952) % 0.86/0.86 [96]~P6(x961)+P6(x962)+~E(x961,x962) % 0.86/0.86 [97]~P31(x971)+P31(x972)+~E(x971,x972) % 0.86/0.86 [98]~P52(x981)+P52(x982)+~E(x981,x982) % 0.86/0.86 [99]~P35(x991)+P35(x992)+~E(x991,x992) % 0.86/0.86 [100]~P37(x1001)+P37(x1002)+~E(x1001,x1002) % 0.86/0.86 [101]~P38(x1011)+P38(x1012)+~E(x1011,x1012) % 0.86/0.86 [102]~P25(x1021)+P25(x1022)+~E(x1021,x1022) % 0.86/0.86 [103]~P48(x1031)+P48(x1032)+~E(x1031,x1032) % 0.86/0.86 [104]~P23(x1041)+P23(x1042)+~E(x1041,x1042) % 0.86/0.86 [105]~P44(x1051)+P44(x1052)+~E(x1051,x1052) % 0.86/0.86 [106]P8(x1062,x1063,x1064)+~E(x1061,x1062)+~P8(x1061,x1063,x1064) % 0.86/0.86 [107]P8(x1073,x1072,x1074)+~E(x1071,x1072)+~P8(x1073,x1071,x1074) % 0.86/0.86 [108]P8(x1083,x1084,x1082)+~E(x1081,x1082)+~P8(x1083,x1084,x1081) % 0.86/0.86 [109]~P26(x1091)+P26(x1092)+~E(x1091,x1092) % 0.86/0.86 [110]~P43(x1101)+P43(x1102)+~E(x1101,x1102) % 0.86/0.86 [111]~P32(x1111)+P32(x1112)+~E(x1111,x1112) % 0.86/0.86 [112]~P58(x1121)+P58(x1122)+~E(x1121,x1122) % 0.86/0.86 [113]~P27(x1131)+P27(x1132)+~E(x1131,x1132) % 0.86/0.86 [114]~P15(x1141)+P15(x1142)+~E(x1141,x1142) % 0.86/0.86 [115]~P61(x1151)+P61(x1152)+~E(x1151,x1152) % 0.86/0.86 [116]~P20(x1161)+P20(x1162)+~E(x1161,x1162) % 0.86/0.86 [117]~P56(x1171)+P56(x1172)+~E(x1171,x1172) % 0.86/0.86 [118]~P45(x1181)+P45(x1182)+~E(x1181,x1182) % 0.86/0.86 [119]~P29(x1191)+P29(x1192)+~E(x1191,x1192) % 0.86/0.86 [120]~P13(x1201)+P13(x1202)+~E(x1201,x1202) % 0.86/0.86 [121]~P36(x1211)+P36(x1212)+~E(x1211,x1212) % 0.86/0.86 [122]~P22(x1221)+P22(x1222)+~E(x1221,x1222) % 0.86/0.86 [123]~P17(x1231)+P17(x1232)+~E(x1231,x1232) % 0.86/0.86 [124]~P57(x1241)+P57(x1242)+~E(x1241,x1242) % 0.86/0.86 [125]~P59(x1251)+P59(x1252)+~E(x1251,x1252) % 0.86/0.86 [126]~P47(x1261)+P47(x1262)+~E(x1261,x1262) % 0.86/0.86 [127]~P63(x1271)+P63(x1272)+~E(x1271,x1272) % 0.86/0.86 [128]~P24(x1281)+P24(x1282)+~E(x1281,x1282) % 0.86/0.86 [129]~P46(x1291)+P46(x1292)+~E(x1291,x1292) % 0.86/0.86 [130]~P40(x1301)+P40(x1302)+~E(x1301,x1302) % 0.86/0.86 [131]~P62(x1311)+P62(x1312)+~E(x1311,x1312) % 0.86/0.86 [132]~P39(x1321)+P39(x1322)+~E(x1321,x1322) % 0.86/0.86 [133]~P64(x1331)+P64(x1332)+~E(x1331,x1332) % 0.86/0.86 [134]~P30(x1341)+P30(x1342)+~E(x1341,x1342) % 0.86/0.86 [135]~P60(x1351)+P60(x1352)+~E(x1351,x1352) % 0.86/0.86 [136]~P41(x1361)+P41(x1362)+~E(x1361,x1362) % 0.86/0.86 [137]~P54(x1371)+P54(x1372)+~E(x1371,x1372) % 0.86/0.86 [138]~P49(x1381)+P49(x1382)+~E(x1381,x1382) % 0.86/0.86 [139]P10(x1392,x1393,x1394)+~E(x1391,x1392)+~P10(x1391,x1393,x1394) % 0.86/0.86 [140]P10(x1403,x1402,x1404)+~E(x1401,x1402)+~P10(x1403,x1401,x1404) % 0.86/0.86 [141]P10(x1413,x1414,x1412)+~E(x1411,x1412)+~P10(x1413,x1414,x1411) % 0.86/0.86 [142]~P14(x1421)+P14(x1422)+~E(x1421,x1422) % 0.86/0.86 [143]~P33(x1431)+P33(x1432)+~E(x1431,x1432) % 0.86/0.86 [144]P11(x1442,x1443,x1444)+~E(x1441,x1442)+~P11(x1441,x1443,x1444) % 0.86/0.86 [145]P11(x1453,x1452,x1454)+~E(x1451,x1452)+~P11(x1453,x1451,x1454) % 0.86/0.86 [146]P11(x1463,x1464,x1462)+~E(x1461,x1462)+~P11(x1463,x1464,x1461) % 0.86/0.86 % 0.86/0.86 %------------------------------------------- % 0.86/0.86 cnf(887,plain, % 0.86/0.86 ($false), % 0.86/0.86 inference(scs_inference,[],[284,311]), % 0.86/0.86 ['proof']). % 0.86/0.86 % SZS output end Proof % 0.86/0.86 % Total time :0.040000s %------------------------------------------------------------------------------