%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : ALG414-1 : 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 03:41:39 EDT 2024 % Result : Unsatisfiable 0.52s 0.91s % Output : CNFRefutation 0.52s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : ALG414-1 : TPTP v8.2.0. Released v4.1.0. % 0.03/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % 0.12/0.33 % Computer : n004.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 300 % 0.12/0.33 % DateTime : Wed Jun 19 16:33:39 EDT 2024 % 0.12/0.33 % CPUTime : % 0.20/0.55 start to proof:theBenchmark % 0.52/0.87 %------------------------------------------- % 0.52/0.87 % File :CSE---1.7 % 0.52/0.87 % Problem :theBenchmark % 0.52/0.87 % Transform :cnf % 0.52/0.87 % Format :tptp:raw % 0.52/0.87 % Command :java -jar mcs_scs.jar %d %s % 0.52/0.87 % 0.52/0.87 % Result :Theorem 0.060000s % 0.52/0.87 % Output :CNFRefutation 0.060000s % 0.52/0.87 %------------------------------------------- % 0.52/0.87 %------------------------------------------------------------------------------ % 0.52/0.87 % File : ALG414-1 : TPTP v8.2.0. Released v4.1.0. % 0.52/0.87 % Domain : General Algebra % 0.52/0.87 % Problem : Fundamental theorem of algebra 0795_34 % 0.52/0.87 % Version : Especial. % 0.52/0.87 % English : % 0.52/0.87 % 0.52/0.87 % Refs : [Nip10] Nipkow (2010), Email to Geoff Sutcliffe % 0.52/0.87 % : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day % 0.52/0.87 % Source : [Nip10] % 0.52/0.87 % Names : Fundamental_Theorem_Algebra-0795_34 [Nip10] % 0.52/0.87 % 0.52/0.87 % Status : Unsatisfiable % 0.52/0.87 % Rating : 0.10 v8.1.0, 0.05 v7.4.0, 0.06 v7.3.0, 0.00 v7.0.0, 0.07 v6.4.0, 0.00 v6.0.0, 0.10 v5.5.0, 0.15 v5.4.0, 0.10 v5.3.0, 0.11 v5.2.0, 0.12 v5.1.0, 0.18 v5.0.0, 0.07 v4.1.0 % 0.52/0.87 % Syntax : Number of clauses : 836 ( 136 unt; 91 nHn; 488 RR) % 0.52/0.87 % Number of literals : 2102 ( 573 equ;1186 neg) % 0.52/0.87 % Maximal clause size : 6 ( 2 avg) % 0.52/0.87 % Maximal term depth : 7 ( 1 avg) % 0.52/0.87 % Number of predicates : 68 ( 67 usr; 0 prp; 1-5 aty) % 0.52/0.87 % Number of functors : 40 ( 40 usr; 7 con; 0-4 aty) % 0.52/0.87 % Number of variables : 2100 ( 142 sgn) % 0.52/0.87 % SPC : CNF_UNS_RFO_SEQ_NHN % 0.52/0.87 % 0.52/0.87 % Comments : % 0.52/0.87 %------------------------------------------------------------------------------ % 0.52/0.87 cnf(cls_divide__less__eq_0,axiom, % 0.52/0.87 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.87 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.87 | c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) % 0.52/0.87 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.52/0.87 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) ) ). % 0.52/0.87 % 0.52/0.87 cnf(cls_Suc__n__not__n_0,axiom, % 0.52/0.87 c_Suc(V_n) != V_n ). % 0.52/0.87 % 0.52/0.87 cnf(cls_n__not__Suc__n_0,axiom, % 0.52/0.87 V_n != c_Suc(V_n) ). % 0.52/0.87 % 0.52/0.87 cnf(cls_sum__squares__eq__zero__iff_1,axiom, % 0.52/0.87 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.52/0.87 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,T_a),c_HOL_Otimes__class_Otimes(V_y,V_y,T_a),T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.52/0.87 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.52/0.87 % 0.52/0.87 cnf(cls_sum__squares__eq__zero__iff_0,axiom, % 0.52/0.87 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.52/0.87 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,T_a),c_HOL_Otimes__class_Otimes(V_y,V_y,T_a),T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.52/0.87 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.52/0.87 % 0.52/0.87 cnf(cls_class__ringb_Oadd__scale__eq__noteq_0,axiom, % 0.52/0.87 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.52/0.87 | ~ class_Int_Onumber__ring(T_a) % 0.52/0.87 | c_HOL_Oplus__class_Oplus(V_x,c_HOL_Otimes__class_Otimes(V_r,V_c,T_a),T_a) != c_HOL_Oplus__class_Oplus(V_x,c_HOL_Otimes__class_Otimes(V_r,V_d,T_a),T_a) % 0.52/0.87 | V_c = V_d % 0.52/0.87 | V_r = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.52/0.87 % 0.52/0.87 cnf(cls_pos__add__strict_0,axiom, % 0.52/0.87 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.52/0.87 | c_HOL_Oord__class_Oless(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a) % 0.52/0.87 | ~ c_HOL_Oord__class_Oless(V_b,V_c,T_a) % 0.52/0.87 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.52/0.87 % 0.52/0.87 cnf(cls_dvd__mult__right_0,axiom, % 0.52/0.87 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.52/0.87 | c_Ring__and__Field_Odvd__class_Odvd(V_b,V_c,T_a) % 0.52/0.87 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_c,T_a) ) ). % 0.52/0.87 % 0.52/0.87 cnf(cls_dvd__mult__left_0,axiom, % 0.52/0.87 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.52/0.87 | c_Ring__and__Field_Odvd__class_Odvd(V_a,V_c,T_a) % 0.52/0.87 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_c,T_a) ) ). % 0.52/0.87 % 0.52/0.87 cnf(cls_dvd__mult2_0,axiom, % 0.52/0.87 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.52/0.87 | c_Ring__and__Field_Odvd__class_Odvd(V_a,c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) % 0.52/0.87 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ). % 0.52/0.87 % 0.52/0.87 cnf(cls_dvd__mult_0,axiom, % 0.52/0.87 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.52/0.87 | c_Ring__and__Field_Odvd__class_Odvd(V_a,c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) % 0.52/0.87 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_c,T_a) ) ). % 0.52/0.87 % 0.52/0.87 cnf(cls_degree__minus_0,axiom, % 0.52/0.87 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.52/0.87 | c_Polynomial_Odegree(c_HOL_Ouminus__class_Ouminus(V_p,tc_Polynomial_Opoly(T_a)),T_a) = c_Polynomial_Odegree(V_p,T_a) ) ). % 0.52/0.87 % 0.52/0.87 cnf(cls_add__minus__cancel_0,axiom, % 0.52/0.87 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.52/0.87 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a),T_a) = V_b ) ). % 0.52/0.87 % 0.52/0.87 cnf(cls_mult__pos__neg2_0,axiom, % 0.52/0.87 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.52/0.87 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_b,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.87 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.87 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.52/0.87 % 0.52/0.87 cnf(cls_mult__pos__neg_0,axiom, % 0.52/0.87 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.52/0.87 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.87 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.87 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.52/0.87 % 0.52/0.87 cnf(cls_mult__neg__pos_0,axiom, % 0.52/0.87 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.52/0.87 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.87 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.52/0.87 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.52/0.87 % 0.52/0.87 cnf(cls_mod__add__self2_0,axiom, % 0.52/0.87 ( ~ class_Divides_Osemiring__div(T_a) % 0.52/0.87 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_b,T_a) = c_Divides_Odiv__class_Omod(V_a,V_b,T_a) ) ). % 0.52/0.87 % 0.52/0.87 cnf(cls_mod__add__self1_0,axiom, % 0.52/0.87 ( ~ class_Divides_Osemiring__div(T_a) % 0.52/0.87 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_b,V_a,T_a),V_b,T_a) = c_Divides_Odiv__class_Omod(V_a,V_b,T_a) ) ). % 0.52/0.87 % 0.52/0.87 cnf(cls_abs__less__iff_2,axiom, % 0.52/0.87 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.52/0.87 | c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a) % 0.52/0.87 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) % 0.52/0.87 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.52/0.87 % 0.52/0.87 cnf(cls_one__dvd_0,axiom, % 0.52/0.87 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.52/0.87 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(T_a),V_a,T_a) ) ). % 0.52/0.87 % 0.52/0.87 cnf(cls_mult__left__idem_0,axiom, % 0.52/0.87 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(T_a) % 0.52/0.87 | c_HOL_Otimes__class_Otimes(V_x,c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),T_a) = c_HOL_Otimes__class_Otimes(V_x,V_y,T_a) ) ). % 0.52/0.87 % 0.52/0.87 cnf(cls_less__add__one_0,axiom, % 0.52/0.87 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.52/0.87 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oone__class_Oone(T_a),T_a),T_a) ) ). % 0.52/0.87 % 0.52/0.87 cnf(cls_minus__mult__right_0,axiom, % 0.52/0.87 ( ~ class_Ring__and__Field_Oring(T_a) % 0.52/0.87 | c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) = c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ). % 0.52/0.87 % 0.52/0.87 cnf(cls_minus__mult__left_0,axiom, % 0.52/0.87 ( ~ class_Ring__and__Field_Oring(T_a) % 0.52/0.87 | c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) ) ). % 0.52/0.87 % 0.52/0.87 cnf(cls_sgn__minus_0,axiom, % 0.52/0.87 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.52/0.87 | c_HOL_Osgn__class_Osgn(c_HOL_Ouminus__class_Ouminus(V_x,T_a),T_a) = c_HOL_Ouminus__class_Ouminus(c_HOL_Osgn__class_Osgn(V_x,T_a),T_a) ) ). % 0.52/0.87 % 0.52/0.87 cnf(cls_mult__frac__frac_0,axiom, % 0.52/0.87 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.52/0.87 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.88 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),c_HOL_Oinverse__class_Odivide(V_z,V_w,T_a),T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_x,V_z,T_a),c_HOL_Otimes__class_Otimes(V_y,V_w,T_a),T_a) ) ). % 0.52/0.88 % 0.52/0.88 cnf(cls_abs__mult_0,axiom, % 0.52/0.88 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.52/0.88 | c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a) ) ). % 0.52/0.88 % 0.52/0.88 cnf(cls_dvd__mult__cancel__right_1,axiom, % 0.52/0.88 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.52/0.88 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a),c_HOL_Otimes__class_Otimes(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a),T_a) ) ). % 0.52/0.88 % 0.52/0.88 cnf(cls_dvd__mult__cancel__left_1,axiom, % 0.52/0.88 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.52/0.88 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a),T_a) ) ). % 0.52/0.88 % 0.52/0.88 cnf(cls_dvd__trans_0,axiom, % 0.52/0.88 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.52/0.88 | c_Ring__and__Field_Odvd__class_Odvd(V_a,V_c,T_a) % 0.52/0.88 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_b,V_c,T_a) % 0.52/0.88 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ). % 0.52/0.88 % 0.52/0.88 cnf(cls_dvd__refl_0,axiom, % 0.52/0.88 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.52/0.88 | c_Ring__and__Field_Odvd__class_Odvd(V_a,V_a,T_a) ) ). % 0.52/0.88 % 0.52/0.88 cnf(cls_scaleR__right_Odiff_0,axiom, % 0.52/0.88 ( ~ class_RealVector_Oreal__vector(T_a) % 0.52/0.88 | c_RealVector_OscaleR__class_OscaleR(V_a,c_HOL_Ominus__class_Ominus(V_x,V_y,T_a),T_a) = c_HOL_Ominus__class_Ominus(c_RealVector_OscaleR__class_OscaleR(V_a,V_x,T_a),c_RealVector_OscaleR__class_OscaleR(V_a,V_y,T_a),T_a) ) ). % 0.52/0.88 % 0.52/0.88 cnf(cls_scaleR_Odiff__right_0,axiom, % 0.52/0.88 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.52/0.88 | c_RealVector_OscaleR__class_OscaleR(V_a,c_HOL_Ominus__class_Ominus(V_b,V_b_H,T_a),T_a) = c_HOL_Ominus__class_Ominus(c_RealVector_OscaleR__class_OscaleR(V_a,V_b,T_a),c_RealVector_OscaleR__class_OscaleR(V_a,V_b_H,T_a),T_a) ) ). % 0.52/0.88 % 0.52/0.88 cnf(cls_coeff__diff_0,axiom, % 0.52/0.88 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.52/0.88 | c_Polynomial_Ocoeff(c_HOL_Ominus__class_Ominus(V_p,V_q,tc_Polynomial_Opoly(T_a)),V_n,T_a) = c_HOL_Ominus__class_Ominus(c_Polynomial_Ocoeff(V_p,V_n,T_a),c_Polynomial_Ocoeff(V_q,V_n,T_a),T_a) ) ). % 0.52/0.88 % 0.52/0.88 cnf(cls_linorder__neqE__ordered__idom_0,axiom, % 0.52/0.88 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.52/0.88 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 0.52/0.88 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.52/0.88 | V_x = V_y ) ). % 0.52/0.88 % 0.52/0.88 cnf(cls_not__less__iff__gr__or__eq_0,axiom, % 0.52/0.88 ( ~ class_Orderings_Olinorder(T_a) % 0.52/0.88 | V_x = V_y % 0.52/0.88 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 0.52/0.88 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.52/0.88 % 0.52/0.88 cnf(cls_linorder__antisym__conv3_0,axiom, % 0.52/0.88 ( ~ class_Orderings_Olinorder(T_a) % 0.52/0.88 | V_x = V_y % 0.52/0.88 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.52/0.88 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ). % 0.52/0.88 % 0.52/0.88 cnf(cls_linorder__less__linear_0,axiom, % 0.52/0.88 ( ~ class_Orderings_Olinorder(T_a) % 0.52/0.88 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 0.52/0.88 | V_x = V_y % 0.52/0.88 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.52/0.88 % 0.52/0.88 cnf(cls_pdivmod__rel__unique_1,axiom, % 0.52/0.88 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.52/0.88 | V_r1 = V_r2 % 0.52/0.88 | ~ c_Polynomial_Opdivmod__rel(V_x,V_y,V_q2,V_r2,T_a) % 0.52/0.88 | ~ c_Polynomial_Opdivmod__rel(V_x,V_y,V_q1,V_r1,T_a) ) ). % 0.52/0.88 % 0.52/0.88 cnf(cls_pdivmod__rel__unique_0,axiom, % 0.52/0.88 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.52/0.88 | V_q1 = V_q2 % 0.52/0.88 | ~ c_Polynomial_Opdivmod__rel(V_x,V_y,V_q2,V_r2,T_a) % 0.52/0.88 | ~ c_Polynomial_Opdivmod__rel(V_x,V_y,V_q1,V_r1,T_a) ) ). % 0.52/0.88 % 0.52/0.88 cnf(cls_linorder__neqE_0,axiom, % 0.52/0.88 ( ~ class_Orderings_Olinorder(T_a) % 0.52/0.88 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 0.52/0.88 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.52/0.88 | V_x = V_y ) ). % 0.52/0.88 % 0.52/0.88 cnf(cls_compl__eq__compl__iff_0,axiom, % 0.52/0.88 ( ~ class_Lattices_Oboolean__algebra(T_a) % 0.52/0.88 | c_HOL_Ouminus__class_Ouminus(V_x,T_a) != c_HOL_Ouminus__class_Ouminus(V_y,T_a) % 0.52/0.88 | V_x = V_y ) ). % 0.52/0.88 % 0.52/0.88 cnf(cls_neg__equal__iff__equal_0,axiom, % 0.52/0.88 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.52/0.88 | c_HOL_Ouminus__class_Ouminus(V_a,T_a) != c_HOL_Ouminus__class_Ouminus(V_b,T_a) % 0.52/0.88 | V_a = V_b ) ). % 0.52/0.88 % 0.52/0.88 cnf(cls_eq__divide__imp_0,axiom, % 0.52/0.88 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.52/0.88 | V_c = c_HOL_Ozero__class_Ozero(T_a) % 0.52/0.88 | V_a = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_c,T_a) ) ). % 0.52/0.88 % 0.52/0.88 cnf(cls_divide__eq__imp_0,axiom, % 0.52/0.88 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.52/0.88 | V_c = c_HOL_Ozero__class_Ozero(T_a) % 0.52/0.88 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_c,T_a) = V_a ) ). % 0.52/0.88 % 0.52/0.88 cnf(cls_eq__divide__eq_3,axiom, % 0.52/0.88 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.52/0.88 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.88 | V_a = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_c,T_a) % 0.52/0.88 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.52/0.88 % 0.52/0.88 cnf(cls_divide__eq__eq_3,axiom, % 0.52/0.88 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.52/0.88 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.88 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_c,T_a) = V_a % 0.52/0.88 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.52/0.88 % 0.52/0.88 cnf(cls_class__semiring_Osemiring__rules_I15_J_0,axiom, % 0.52/0.88 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.52/0.88 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_ly,T_a),c_HOL_Otimes__class_Otimes(V_rx,V_ry,T_a),T_a) = c_HOL_Otimes__class_Otimes(V_rx,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_ly,T_a),V_ry,T_a),T_a) ) ). % 0.52/0.88 % 0.52/0.88 cnf(cls_class__semiring_Osemiring__rules_I14_J_0,axiom, % 0.52/0.88 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.52/0.88 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_ly,T_a),c_HOL_Otimes__class_Otimes(V_rx,V_ry,T_a),T_a) = c_HOL_Otimes__class_Otimes(V_lx,c_HOL_Otimes__class_Otimes(V_ly,c_HOL_Otimes__class_Otimes(V_rx,V_ry,T_a),T_a),T_a) ) ). % 0.52/0.88 % 0.52/0.88 cnf(cls_class__semiring_Osemiring__rules_I13_J_0,axiom, % 0.52/0.88 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.52/0.88 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_ly,T_a),c_HOL_Otimes__class_Otimes(V_rx,V_ry,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_rx,T_a),c_HOL_Otimes__class_Otimes(V_ly,V_ry,T_a),T_a) ) ). % 0.52/0.88 % 0.52/0.88 cnf(cls_neg__less__iff__less_1,axiom, % 0.52/0.88 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.52/0.88 | 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) % 0.52/0.88 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.52/0.88 % 0.52/0.88 cnf(cls_neg__less__iff__less_0,axiom, % 0.52/0.88 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.52/0.88 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.52/0.88 | ~ 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) ) ). % 0.52/0.88 % 0.52/0.88 cnf(cls_pdivmod__0_0,axiom, % 0.52/0.88 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.52/0.88 | c_Polynomial_Opdivmod(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_y,T_a) = c_Pair(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),tc_Polynomial_Opoly(T_a),tc_Polynomial_Opoly(T_a)) ) ). % 0.52/0.88 % 0.52/0.88 cnf(cls_abs__div__pos_0,axiom, % 0.52/0.88 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.88 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.88 | c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(V_x,T_a),V_y,T_a) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),T_a) % 0.52/0.88 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) ) ). % 0.52/0.88 % 0.52/0.88 cnf(cls_not__sum__squares__lt__zero_0,axiom, % 0.52/0.88 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.52/0.88 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,T_a),c_HOL_Otimes__class_Otimes(V_y,V_y,T_a),T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.52/0.88 % 0.52/0.88 cnf(cls_sgn__if_1,axiom, % 0.52/0.88 ( ~ class_Ring__and__Field_Osgn__if(T_a) % 0.52/0.88 | c_HOL_Osgn__class_Osgn(V_x,T_a) = c_HOL_Oone__class_Oone(T_a) % 0.52/0.88 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) % 0.52/0.88 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.52/0.88 % 0.52/0.88 cnf(cls_abs__less__iff_1,axiom, % 0.52/0.88 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.52/0.88 | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) % 0.52/0.88 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a) ) ). % 0.52/0.88 % 0.52/0.88 cnf(cls_degree__smult__eq_0,axiom, % 0.52/0.88 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.52/0.88 | 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) ) ). % 0.52/0.88 % 0.52/0.88 cnf(cls_zero__less__mult__pos2_0,axiom, % 0.52/0.88 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.52/0.88 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.52/0.88 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.52/0.88 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_b,V_a,T_a),T_a) ) ). % 0.52/0.88 % 0.52/0.88 cnf(cls_zero__less__mult__pos_0,axiom, % 0.52/0.88 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.52/0.88 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.52/0.88 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.52/0.88 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ). % 0.52/0.88 % 0.52/0.88 cnf(cls_mult__pos__pos_0,axiom, % 0.52/0.88 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.52/0.88 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) % 0.52/0.88 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.52/0.88 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.52/0.88 % 0.52/0.88 cnf(cls_divide__less__eq_6,axiom, % 0.52/0.88 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.88 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.88 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) % 0.52/0.88 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.52/0.88 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) ) ). % 0.52/0.88 % 0.52/0.88 cnf(cls_less__divide__eq_0,axiom, % 0.52/0.88 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.88 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.88 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) % 0.52/0.88 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.52/0.88 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ). % 0.52/0.88 % 0.52/0.88 cnf(cls_less__divide__eq_6,axiom, % 0.52/0.88 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.88 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.88 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 0.52/0.88 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.52/0.88 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) ) ). % 0.52/0.88 % 0.52/0.88 cnf(cls_mult__imp__div__pos__less_0,axiom, % 0.52/0.88 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.88 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),V_z,T_a) % 0.52/0.88 | ~ c_HOL_Oord__class_Oless(V_x,c_HOL_Otimes__class_Otimes(V_z,V_y,T_a),T_a) % 0.52/0.88 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) ) ). % 0.52/0.88 % 0.52/0.88 cnf(cls_mult__imp__less__div__pos_0,axiom, % 0.52/0.88 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.88 | c_HOL_Oord__class_Oless(V_z,c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),T_a) % 0.52/0.88 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_z,V_y,T_a),V_x,T_a) % 0.52/0.88 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) ) ). % 0.52/0.88 % 0.52/0.88 cnf(cls_pos__poly__add_0,axiom, % 0.52/0.88 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.52/0.88 | c_Polynomial_Opos__poly(c_HOL_Oplus__class_Oplus(V_p,V_q,tc_Polynomial_Opoly(T_a)),T_a) % 0.52/0.88 | ~ c_Polynomial_Opos__poly(V_q,T_a) % 0.52/0.88 | ~ c_Polynomial_Opos__poly(V_p,T_a) ) ). % 0.52/0.88 % 0.52/0.88 cnf(cls_smult__pCons_0,axiom, % 0.52/0.88 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a) % 0.52/0.88 | c_Polynomial_Osmult(V_a,c_Polynomial_OpCons(V_b,V_p,T_a),T_a) = c_Polynomial_OpCons(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_Polynomial_Osmult(V_a,V_p,T_a),T_a) ) ). % 0.52/0.88 % 0.52/0.88 cnf(cls_zero__less__divide__iff_0,axiom, % 0.52/0.88 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.88 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.88 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.88 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.52/0.88 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) ) ). % 0.52/0.88 % 0.52/0.88 cnf(cls_zero__less__divide__iff_1,axiom, % 0.52/0.88 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.88 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.88 | c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.88 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.52/0.88 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) ) ). % 0.52/0.88 % 0.52/0.88 cnf(cls_zero__less__divide__iff_2,axiom, % 0.52/0.88 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.88 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.88 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.88 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.52/0.88 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) ) ). % 0.52/0.88 % 0.52/0.88 cnf(cls_zero__less__divide__iff_3,axiom, % 0.52/0.88 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.88 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.88 | c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.88 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.52/0.88 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) ) ). % 0.52/0.88 % 0.52/0.88 cnf(cls_mult__idem_0,axiom, % 0.52/0.88 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(T_a) % 0.52/0.88 | c_HOL_Otimes__class_Otimes(V_x,V_x,T_a) = V_x ) ). % 0.52/0.88 % 0.52/0.88 cnf(cls_Pair__eq_1,axiom, % 0.52/0.88 ( c_Pair(V_a,V_b,T_a,T_b) != c_Pair(V_a_H,V_b_H,T_a,T_b) % 0.52/0.88 | V_b = V_b_H ) ). % 0.52/0.88 % 0.52/0.88 cnf(cls_Pair__eq_0,axiom, % 0.52/0.88 ( c_Pair(V_a,V_b,T_a,T_b) != c_Pair(V_a_H,V_b_H,T_a,T_b) % 0.52/0.88 | V_a = V_a_H ) ). % 0.52/0.88 % 0.52/0.88 cnf(cls_less__eqI_1,axiom, % 0.52/0.88 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.52/0.88 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a) % 0.52/0.88 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.52/0.88 | ~ c_HOL_Oord__class_Oless(V_x_H,V_y_H,T_a) ) ). % 0.52/0.88 % 0.52/0.88 cnf(cls_less__eqI_0,axiom, % 0.52/0.88 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.52/0.88 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a) % 0.52/0.88 | c_HOL_Oord__class_Oless(V_x_H,V_y_H,T_a) % 0.52/0.88 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.52/0.88 % 0.52/0.88 cnf(cls_degree__smult__eq_1,axiom, % 0.52/0.88 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.52/0.88 | c_Polynomial_Odegree(c_Polynomial_Osmult(V_a,V_p,T_a),T_a) = c_Polynomial_Odegree(V_p,T_a) % 0.52/0.88 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.52/0.88 % 0.52/0.88 cnf(cls_zmod__simps_I2_J_0,axiom, % 0.52/0.88 ( ~ class_Divides_Osemiring__div(T_a) % 0.52/0.88 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a,c_Divides_Odiv__class_Omod(V_b,V_c,T_a),T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) ) ). % 0.52/0.88 % 0.52/0.88 cnf(cls_zmod__simps_I1_J_0,axiom, % 0.52/0.88 ( ~ class_Divides_Osemiring__div(T_a) % 0.52/0.88 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(V_a,V_c,T_a),V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) ) ). % 0.52/0.88 % 0.52/0.88 cnf(cls_inf__period_I4_J_0,axiom, % 0.52/0.88 ( ~ class_Ring__and__Field_Odvd(T_a) % 0.52/0.88 | ~ class_Ring__and__Field_Ocomm__ring(T_a) % 0.52/0.88 | c_Ring__and__Field_Odvd__class_Odvd(V_d,c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_x,c_HOL_Otimes__class_Otimes(V_k,V_D,T_a),T_a),V_t,T_a),T_a) % 0.52/0.88 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_d,c_HOL_Oplus__class_Oplus(V_x,V_t,T_a),T_a) % 0.52/0.88 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_d,V_D,T_a) ) ). % 0.52/0.88 % 0.52/0.88 cnf(cls_inf__period_I4_J_1,axiom, % 0.52/0.88 ( ~ class_Ring__and__Field_Odvd(T_a) % 0.52/0.88 | ~ class_Ring__and__Field_Ocomm__ring(T_a) % 0.52/0.88 | c_Ring__and__Field_Odvd__class_Odvd(V_d,c_HOL_Oplus__class_Oplus(V_x,V_t,T_a),T_a) % 0.52/0.88 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_d,c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_x,c_HOL_Otimes__class_Otimes(V_k,V_D,T_a),T_a),V_t,T_a),T_a) % 0.52/0.88 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_d,V_D,T_a) ) ). % 0.52/0.88 % 0.52/0.88 cnf(cls_smult__dvd__iff_4,axiom, % 0.52/0.88 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.52/0.88 | c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Osmult(V_a,V_p,T_a),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),tc_Polynomial_Opoly(T_a)) % 0.52/0.88 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_p,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),tc_Polynomial_Opoly(T_a)) ) ). % 0.52/0.88 % 0.52/0.88 cnf(cls_right__inverse__eq_0,axiom, % 0.52/0.88 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.52/0.88 | c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a) != c_HOL_Oone__class_Oone(T_a) % 0.52/0.88 | V_b = c_HOL_Ozero__class_Ozero(T_a) % 0.52/0.88 | V_a = V_b ) ). % 0.52/0.88 % 0.52/0.88 cnf(cls_class__ring_Oneg__mul_0,axiom, % 0.52/0.88 ( ~ class_Int_Onumber__ring(T_a) % 0.52/0.88 | c_HOL_Ouminus__class_Ouminus(V_x,T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(T_a),T_a),V_x,T_a) ) ). % 0.52/0.88 % 0.52/0.88 cnf(cls_ab__semigroup__mult__class_Omult__ac_I1_J_0,axiom, % 0.52/0.88 ( ~ class_OrderedGroup_Oab__semigroup__mult(T_a) % 0.52/0.88 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_c,T_a) = c_HOL_Otimes__class_Otimes(V_a,c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ). % 0.52/0.88 % 0.52/0.88 cnf(cls_class__semiring_Osemiring__rules_I16_J_0,axiom, % 0.52/0.88 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.52/0.88 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_ly,T_a),V_rx,T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_rx,T_a),V_ly,T_a) ) ). % 0.52/0.88 % 0.52/0.88 cnf(cls_class__semiring_Osemiring__rules_I17_J_0,axiom, % 0.52/0.88 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.52/0.88 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_ly,T_a),V_rx,T_a) = c_HOL_Otimes__class_Otimes(V_lx,c_HOL_Otimes__class_Otimes(V_ly,V_rx,T_a),T_a) ) ). % 0.52/0.88 % 0.52/0.88 cnf(cls_class__semiring_Osemiring__rules_I18_J_0,axiom, % 0.52/0.88 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.52/0.88 | c_HOL_Otimes__class_Otimes(V_lx,c_HOL_Otimes__class_Otimes(V_rx,V_ry,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_rx,T_a),V_ry,T_a) ) ). % 0.52/0.88 % 0.52/0.88 cnf(cls_class__semiring_Osemiring__rules_I19_J_0,axiom, % 0.52/0.88 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.52/0.88 | c_HOL_Otimes__class_Otimes(V_lx,c_HOL_Otimes__class_Otimes(V_rx,V_ry,T_a),T_a) = c_HOL_Otimes__class_Otimes(V_rx,c_HOL_Otimes__class_Otimes(V_lx,V_ry,T_a),T_a) ) ). % 0.52/0.88 % 0.52/0.88 cnf(cls_class__semiring_Omul__a_0,axiom, % 0.52/0.88 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.52/0.88 | c_HOL_Otimes__class_Otimes(V_x,c_HOL_Otimes__class_Otimes(V_y,V_z,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),V_z,T_a) ) ). % 0.52/0.88 % 0.52/0.88 cnf(cls_class__semiring_Osemiring__rules_I8_J_0,axiom, % 0.52/0.88 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.52/0.88 | c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ). % 0.52/0.88 % 0.52/0.88 cnf(cls_mult__right_Oadd_0,axiom, % 0.52/0.88 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.52/0.88 | c_HOL_Otimes__class_Otimes(V_xa,c_HOL_Oplus__class_Oplus(V_x,V_y,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_xa,V_x,T_a),c_HOL_Otimes__class_Otimes(V_xa,V_y,T_a),T_a) ) ). % 0.52/0.88 % 0.52/0.88 cnf(cls_mult_Oadd__right_0,axiom, % 0.52/0.88 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.52/0.88 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Oplus__class_Oplus(V_b,V_b_H,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Otimes__class_Otimes(V_a,V_b_H,T_a),T_a) ) ). % 0.52/0.88 % 0.52/0.88 cnf(cls_mult__left_Oadd_0,axiom, % 0.52/0.88 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.52/0.88 | c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_x,V_y,T_a),V_ya,T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_ya,T_a),c_HOL_Otimes__class_Otimes(V_y,V_ya,T_a),T_a) ) ). % 0.52/0.88 % 0.52/0.88 cnf(cls_mult_Oadd__left_0,axiom, % 0.52/0.88 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.52/0.88 | c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_a,V_a_H,T_a),V_b,T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Otimes__class_Otimes(V_a_H,V_b,T_a),T_a) ) ). % 0.52/0.88 % 0.52/0.88 cnf(cls_mult__poly__add__left_0,axiom, % 0.52/0.88 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a) % 0.52/0.88 | c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_p,V_q,tc_Polynomial_Opoly(T_a)),V_r,tc_Polynomial_Opoly(T_a)) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_p,V_r,tc_Polynomial_Opoly(T_a)),c_HOL_Otimes__class_Otimes(V_q,V_r,tc_Polynomial_Opoly(T_a)),tc_Polynomial_Opoly(T_a)) ) ). % 0.52/0.88 % 0.52/0.88 cnf(cls_class__semiring_Omul__d_0,axiom, % 0.52/0.88 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.52/0.88 | c_HOL_Otimes__class_Otimes(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),c_HOL_Otimes__class_Otimes(V_x,V_z,T_a),T_a) ) ). % 0.52/0.88 % 0.52/0.88 cnf(cls_comm__semiring__class_Odistrib_0,axiom, % 0.52/0.88 ( ~ class_Ring__and__Field_Ocomm__semiring(T_a) % 0.52/0.88 | c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ). % 0.52/0.88 % 0.52/0.88 cnf(cls_coeff__minus_0,axiom, % 0.52/0.88 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.52/0.88 | c_Polynomial_Ocoeff(c_HOL_Ouminus__class_Ouminus(V_p,tc_Polynomial_Opoly(T_a)),V_n,T_a) = c_HOL_Ouminus__class_Ouminus(c_Polynomial_Ocoeff(V_p,V_n,T_a),T_a) ) ). % 0.52/0.88 % 0.52/0.88 cnf(cls_zero__less__double__add__iff__zero__less__single__add_0,axiom, % 0.52/0.88 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.52/0.88 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.52/0.88 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),T_a) ) ). % 0.52/0.88 % 0.52/0.88 cnf(cls_zero__less__double__add__iff__zero__less__single__add_1,axiom, % 0.52/0.88 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.52/0.88 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),T_a) % 0.52/0.88 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.52/0.88 % 0.52/0.88 cnf(cls_smult__dvd__iff_2,axiom, % 0.52/0.88 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.52/0.88 | c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Osmult(V_a,V_p,T_a),V_q,tc_Polynomial_Opoly(T_a)) % 0.52/0.88 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_p,V_q,tc_Polynomial_Opoly(T_a)) % 0.52/0.88 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.52/0.88 % 0.52/0.88 cnf(cls_smult__dvd__iff_1,axiom, % 0.52/0.88 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.52/0.88 | c_Ring__and__Field_Odvd__class_Odvd(V_p,V_q,tc_Polynomial_Opoly(T_a)) % 0.52/0.88 | V_a = c_HOL_Ozero__class_Ozero(T_a) % 0.52/0.88 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Osmult(V_a,V_p,T_a),V_q,tc_Polynomial_Opoly(T_a)) ) ). % 0.52/0.88 % 0.52/0.88 cnf(cls_dvd__smult__iff_1,axiom, % 0.52/0.88 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.52/0.88 | c_Ring__and__Field_Odvd__class_Odvd(V_p,c_Polynomial_Osmult(V_a,V_q,T_a),tc_Polynomial_Opoly(T_a)) % 0.52/0.88 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_p,V_q,tc_Polynomial_Opoly(T_a)) % 0.52/0.88 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.52/0.88 % 0.52/0.88 cnf(cls_dvd__smult__iff_0,axiom, % 0.52/0.88 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.52/0.88 | c_Ring__and__Field_Odvd__class_Odvd(V_p,V_q,tc_Polynomial_Opoly(T_a)) % 0.52/0.88 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_p,c_Polynomial_Osmult(V_a,V_q,T_a),tc_Polynomial_Opoly(T_a)) % 0.52/0.88 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.52/0.88 % 0.52/0.88 cnf(cls_smult__dvd_0,axiom, % 0.52/0.88 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.52/0.88 | c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Osmult(V_a,V_p,T_a),V_q,tc_Polynomial_Opoly(T_a)) % 0.52/0.88 | V_a = c_HOL_Ozero__class_Ozero(T_a) % 0.52/0.88 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_p,V_q,tc_Polynomial_Opoly(T_a)) ) ). % 0.52/0.88 % 0.52/0.88 cnf(cls_dvd__smult__cancel_0,axiom, % 0.52/0.88 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.52/0.88 | c_Ring__and__Field_Odvd__class_Odvd(V_p,V_q,tc_Polynomial_Opoly(T_a)) % 0.52/0.88 | V_a = c_HOL_Ozero__class_Ozero(T_a) % 0.52/0.88 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_p,c_Polynomial_Osmult(V_a,V_q,T_a),tc_Polynomial_Opoly(T_a)) ) ). % 0.52/0.88 % 0.52/0.88 cnf(cls_abs__minus__commute_0,axiom, % 0.52/0.88 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 0.52/0.88 | c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),T_a) = c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(V_b,V_a,T_a),T_a) ) ). % 0.52/0.88 % 0.52/0.88 cnf(cls_minus__divide__right_0,axiom, % 0.52/0.88 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.52/0.88 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.88 | c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) = c_HOL_Oinverse__class_Odivide(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ). % 0.52/0.88 % 0.52/0.88 cnf(cls_minus__divide__left_0,axiom, % 0.52/0.88 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.52/0.88 | c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) ) ). % 0.52/0.88 % 0.52/0.88 cnf(cls_sum__squares__gt__zero__iff_0,axiom, % 0.52/0.88 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.52/0.88 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a),T_a),T_a) ) ). % 0.52/0.88 % 0.52/0.88 cnf(cls_abs__one_0,axiom, % 0.52/0.88 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.52/0.88 | c_HOL_Oabs__class_Oabs(c_HOL_Oone__class_Oone(T_a),T_a) = c_HOL_Oone__class_Oone(T_a) ) ). % 0.52/0.88 % 0.52/0.88 cnf(cls_eq__poly__def_1,axiom, % 0.52/0.88 ( ~ class_HOL_Ozero(T_a) % 0.52/0.88 | ~ class_HOL_Oeq(T_a) % 0.52/0.88 | c_HOL_Oeq__class_Oeq(V_x,V_x,tc_Polynomial_Opoly(T_a)) ) ). % 0.52/0.88 % 0.52/0.88 cnf(cls_eq__class_Oeq__refl_0,axiom, % 0.52/0.88 ( ~ class_HOL_Oeq(T_a) % 0.52/0.88 | c_HOL_Oeq__class_Oeq(V_x,V_x,T_a) ) ). % 0.52/0.88 % 0.52/0.89 cnf(cls_class__semiring_Osemiring__rules_I1_J_0,axiom, % 0.52/0.89 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.52/0.89 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_m,T_a),c_HOL_Otimes__class_Otimes(V_b,V_m,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_m,T_a) ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_diff__frac__eq_0,axiom, % 0.52/0.89 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.52/0.89 | c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),c_HOL_Oinverse__class_Odivide(V_w,V_z,T_a),T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(V_x,V_z,T_a),c_HOL_Otimes__class_Otimes(V_w,V_y,T_a),T_a),c_HOL_Otimes__class_Otimes(V_y,V_z,T_a),T_a) % 0.52/0.89 | V_z = c_HOL_Ozero__class_Ozero(T_a) % 0.52/0.89 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_zero__less__two_0,axiom, % 0.52/0.89 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.52/0.89 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(T_a),c_HOL_Oone__class_Oone(T_a),T_a),T_a) ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_mult_Ominus__left_0,axiom, % 0.52/0.89 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.52/0.89 | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_mult__left_Ominus_0,axiom, % 0.52/0.89 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.52/0.89 | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(V_x,T_a),V_y,T_a) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),T_a) ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_mult_Ominus__right_0,axiom, % 0.52/0.89 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.52/0.89 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_mult__right_Ominus_0,axiom, % 0.52/0.89 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.52/0.89 | c_HOL_Otimes__class_Otimes(V_xa,c_HOL_Ouminus__class_Ouminus(V_x,T_a),T_a) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(V_xa,V_x,T_a),T_a) ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_square__eq__iff_1,axiom, % 0.52/0.89 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.52/0.89 | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) = c_HOL_Otimes__class_Otimes(V_b,V_b,T_a) ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_minus__mult__minus_0,axiom, % 0.52/0.89 ( ~ class_Ring__and__Field_Oring(T_a) % 0.52/0.89 | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) = c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_diff__pCons_0,axiom, % 0.52/0.89 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.52/0.89 | c_HOL_Ominus__class_Ominus(c_Polynomial_OpCons(V_a,V_p,T_a),c_Polynomial_OpCons(V_b,V_q,T_a),tc_Polynomial_Opoly(T_a)) = c_Polynomial_OpCons(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ominus__class_Ominus(V_p,V_q,tc_Polynomial_Opoly(T_a)),T_a) ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_sgn__sgn_0,axiom, % 0.52/0.89 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.52/0.89 | c_HOL_Osgn__class_Osgn(c_HOL_Osgn__class_Osgn(V_a,T_a),T_a) = c_HOL_Osgn__class_Osgn(V_a,T_a) ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_divide__less__eq_2,axiom, % 0.52/0.89 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.89 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.89 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.52/0.89 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.89 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.52/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_divide__less__eq_3,axiom, % 0.52/0.89 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.89 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.89 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) % 0.52/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.52/0.89 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.89 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_divide__less__eq_8,axiom, % 0.52/0.89 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.89 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.89 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) % 0.52/0.89 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) % 0.52/0.89 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_divide__less__eq_9,axiom, % 0.52/0.89 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.89 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.89 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) % 0.52/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.52/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) % 0.52/0.89 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_less__divide__eq_2,axiom, % 0.52/0.89 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.89 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.89 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.89 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.89 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.52/0.89 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_less__divide__eq_3,axiom, % 0.52/0.89 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.89 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.89 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 0.52/0.89 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.89 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.89 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_less__divide__eq_8,axiom, % 0.52/0.89 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.89 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.89 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 0.52/0.89 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.89 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) % 0.52/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_less__divide__eq_9,axiom, % 0.52/0.89 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.89 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.89 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 0.52/0.89 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.89 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) % 0.52/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_smult__monom_0,axiom, % 0.52/0.89 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a) % 0.52/0.89 | c_Polynomial_Osmult(V_a,c_Polynomial_Omonom(V_b,V_n,T_a),T_a) = c_Polynomial_Omonom(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_n,T_a) ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_mult__less__cancel__left__disj_0,axiom, % 0.52/0.89 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.52/0.89 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.89 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.52/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_mult__less__cancel__left__disj_3,axiom, % 0.52/0.89 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.52/0.89 | c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 0.52/0.89 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.52/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_mult__less__cancel__right__disj_0,axiom, % 0.52/0.89 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.52/0.89 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.89 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.52/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_mult__less__cancel__right__disj_3,axiom, % 0.52/0.89 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.52/0.89 | c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 0.52/0.89 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.52/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_mod__minus__eq_0,axiom, % 0.52/0.89 ( ~ class_Divides_Oring__div(T_a) % 0.52/0.89 | c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(c_Divides_Odiv__class_Omod(V_a,V_b,T_a),T_a),V_b,T_a) ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_divide__neg__neg_0,axiom, % 0.52/0.89 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.89 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),T_a) % 0.52/0.89 | ~ c_HOL_Oord__class_Oless(V_y,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.89 | ~ c_HOL_Oord__class_Oless(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_divide__pos__pos_0,axiom, % 0.52/0.89 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.89 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),T_a) % 0.52/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) % 0.52/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_zero__less__divide__iff_4,axiom, % 0.52/0.89 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.89 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.89 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) % 0.52/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.52/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_zero__less__divide__iff_5,axiom, % 0.52/0.89 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.89 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.89 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) % 0.52/0.89 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.89 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_smult__1__left_0,axiom, % 0.52/0.89 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.52/0.89 | c_Polynomial_Osmult(c_HOL_Oone__class_Oone(T_a),V_p,T_a) = V_p ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_dvd__add_0,axiom, % 0.52/0.89 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.52/0.89 | c_Ring__and__Field_Odvd__class_Odvd(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) % 0.52/0.89 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_c,T_a) % 0.52/0.89 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_poly__gcd__monic_2,axiom, % 0.52/0.89 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.52/0.89 | c_Polynomial_Ocoeff(c_Polynomial_Opoly__gcd(V_x,V_y,T_a),c_Polynomial_Odegree(c_Polynomial_Opoly__gcd(V_x,V_y,T_a),T_a),T_a) = c_HOL_Oone__class_Oone(T_a) % 0.52/0.89 | V_y = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_poly__gcd__monic_1,axiom, % 0.52/0.89 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.52/0.89 | c_Polynomial_Ocoeff(c_Polynomial_Opoly__gcd(V_x,V_y,T_a),c_Polynomial_Odegree(c_Polynomial_Opoly__gcd(V_x,V_y,T_a),T_a),T_a) = c_HOL_Oone__class_Oone(T_a) % 0.52/0.89 | V_x = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_abs__sgn_0,axiom, % 0.52/0.89 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.52/0.89 | c_HOL_Oabs__class_Oabs(V_k,T_a) = c_HOL_Otimes__class_Otimes(V_k,c_HOL_Osgn__class_Osgn(V_k,T_a),T_a) ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_group__add__class_Odiff__0_0,axiom, % 0.52/0.89 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.52/0.89 | c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ouminus__class_Ouminus(V_a,T_a) ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_diff__poly__code_I1_J_0,axiom, % 0.52/0.89 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.52/0.89 | c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_q,tc_Polynomial_Opoly(T_a)) = c_HOL_Ouminus__class_Ouminus(V_q,tc_Polynomial_Opoly(T_a)) ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_gt__half__sum_0,axiom, % 0.52/0.89 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.89 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(T_a),c_HOL_Oone__class_Oone(T_a),T_a),T_a),V_b,T_a) % 0.52/0.89 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_less__half__sum_0,axiom, % 0.52/0.89 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.89 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(T_a),c_HOL_Oone__class_Oone(T_a),T_a),T_a),T_a) % 0.52/0.89 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_add__frac__num_0,axiom, % 0.52/0.89 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.52/0.89 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.89 | c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),V_z,T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(V_x,c_HOL_Otimes__class_Otimes(V_z,V_y,T_a),T_a),V_y,T_a) % 0.52/0.89 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_add__num__frac_0,axiom, % 0.52/0.89 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.52/0.89 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.89 | c_HOL_Oplus__class_Oplus(V_z,c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(V_x,c_HOL_Otimes__class_Otimes(V_z,V_y,T_a),T_a),V_y,T_a) % 0.52/0.89 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_class__semiring_Osemiring__rules_I20_J_0,axiom, % 0.52/0.89 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.52/0.89 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Oplus__class_Oplus(V_c,V_d,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_d,T_a),T_a) ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_diff__def_0,axiom, % 0.52/0.89 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.52/0.89 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) = c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ouminus__class_Ouminus(V_y,T_a),T_a) ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_class__ring_Osub__add_0,axiom, % 0.52/0.89 ( ~ class_Int_Onumber__ring(T_a) % 0.52/0.89 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) = c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ouminus__class_Ouminus(V_y,T_a),T_a) ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_diff__minus_0,axiom, % 0.52/0.89 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.52/0.89 | c_HOL_Ominus__class_Ominus(V_a,V_b,T_a) = c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_ab__diff__minus_0,axiom, % 0.52/0.89 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.52/0.89 | c_HOL_Ominus__class_Ominus(V_a,V_b,T_a) = c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_nonzero__minus__divide__divide_0,axiom, % 0.52/0.89 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.52/0.89 | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) = c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a) % 0.52/0.89 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_mult__neg__neg_0,axiom, % 0.52/0.89 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.52/0.89 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) % 0.52/0.89 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.89 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_double__add__less__zero__iff__single__less__zero_1,axiom, % 0.52/0.89 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.52/0.89 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.89 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_double__add__less__zero__iff__single__less__zero_0,axiom, % 0.52/0.89 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.52/0.89 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_even__less__0__iff_0,axiom, % 0.52/0.89 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.52/0.89 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_even__less__0__iff_1,axiom, % 0.52/0.89 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.52/0.89 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.89 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_diff__divide__distrib_0,axiom, % 0.52/0.89 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.52/0.89 | c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_c,T_a) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(V_a,V_c,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_divide_Odiff_0,axiom, % 0.52/0.89 ( ~ class_RealVector_Oreal__normed__field(T_a) % 0.52/0.89 | c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(V_x,V_y,T_a),V_ya,T_a) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(V_x,V_ya,T_a),c_HOL_Oinverse__class_Odivide(V_y,V_ya,T_a),T_a) ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_pdivmod__rel__smult__left_0,axiom, % 0.52/0.89 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.52/0.89 | c_Polynomial_Opdivmod__rel(c_Polynomial_Osmult(V_a,V_x,T_a),V_y,c_Polynomial_Osmult(V_a,V_q,T_a),c_Polynomial_Osmult(V_a,V_r,T_a),T_a) % 0.52/0.89 | ~ c_Polynomial_Opdivmod__rel(V_x,V_y,V_q,V_r,T_a) ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_Rational_Oordered__idom__class_Osgn__greater_1,axiom, % 0.52/0.89 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.52/0.89 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Osgn__class_Osgn(V_a,T_a),T_a) % 0.52/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_Rational_Oordered__idom__class_Osgn__greater_0,axiom, % 0.52/0.89 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.52/0.89 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.52/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Osgn__class_Osgn(V_a,T_a),T_a) ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_dvd__diff_0,axiom, % 0.52/0.89 ( ~ class_Ring__and__Field_Ocomm__ring__1(T_a) % 0.52/0.89 | c_Ring__and__Field_Odvd__class_Odvd(V_x,c_HOL_Ominus__class_Ominus(V_y,V_z,T_a),T_a) % 0.52/0.89 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,V_z,T_a) % 0.52/0.89 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,T_a) ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_abs__of__neg_0,axiom, % 0.52/0.89 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 0.52/0.89 | c_HOL_Oabs__class_Oabs(V_a,T_a) = c_HOL_Ouminus__class_Ouminus(V_a,T_a) % 0.52/0.89 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_abs__if_0,axiom, % 0.52/0.89 ( ~ class_Ring__and__Field_Oabs__if(T_a) % 0.52/0.89 | c_HOL_Oabs__class_Oabs(V_a,T_a) = c_HOL_Ouminus__class_Ouminus(V_a,T_a) % 0.52/0.89 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_abs__if__lattice_0,axiom, % 0.52/0.89 ( ~ class_Orderings_Olinorder(T_a) % 0.52/0.89 | ~ class_OrderedGroup_Olordered__ab__group__add__abs(T_a) % 0.52/0.89 | c_HOL_Oabs__class_Oabs(V_a,T_a) = c_HOL_Ouminus__class_Ouminus(V_a,T_a) % 0.52/0.89 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_square__eq__iff_0,axiom, % 0.52/0.89 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.52/0.89 | c_HOL_Otimes__class_Otimes(V_a,V_a,T_a) != c_HOL_Otimes__class_Otimes(V_b,V_b,T_a) % 0.52/0.89 | V_a = c_HOL_Ouminus__class_Ouminus(V_b,T_a) % 0.52/0.89 | V_a = V_b ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_synthetic__div__pCons_0,axiom, % 0.52/0.89 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a) % 0.52/0.89 | c_Polynomial_Osynthetic__div(c_Polynomial_OpCons(V_a,V_p,T_a),V_c,T_a) = c_Polynomial_OpCons(c_Polynomial_Opoly(V_p,V_c,T_a),c_Polynomial_Osynthetic__div(V_p,V_c,T_a),T_a) ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_mult__sgn__abs_0,axiom, % 0.52/0.89 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.52/0.89 | c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(V_x,T_a),c_HOL_Oabs__class_Oabs(V_x,T_a),T_a) = V_x ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_minus__pCons_0,axiom, % 0.52/0.89 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.52/0.89 | c_HOL_Ouminus__class_Ouminus(c_Polynomial_OpCons(V_a,V_p,T_a),tc_Polynomial_Opoly(T_a)) = c_Polynomial_OpCons(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ouminus__class_Ouminus(V_p,tc_Polynomial_Opoly(T_a)),T_a) ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_pdivmod__rel__def_0,axiom, % 0.52/0.89 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.52/0.89 | V_x = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_q,V_y,tc_Polynomial_Opoly(T_a)),V_r,tc_Polynomial_Opoly(T_a)) % 0.52/0.89 | ~ c_Polynomial_Opdivmod__rel(V_x,V_y,V_q,V_r,T_a) ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_poly__gcd__monic_0,axiom, % 0.52/0.89 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.52/0.89 | c_Polynomial_Ocoeff(c_Polynomial_Opoly__gcd(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),T_a),c_Polynomial_Odegree(c_Polynomial_Opoly__gcd(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),T_a),T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_smult__add__left_0,axiom, % 0.52/0.89 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a) % 0.52/0.89 | c_Polynomial_Osmult(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_p,T_a) = c_HOL_Oplus__class_Oplus(c_Polynomial_Osmult(V_a,V_p,T_a),c_Polynomial_Osmult(V_b,V_p,T_a),tc_Polynomial_Opoly(T_a)) ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_smult__add__right_0,axiom, % 0.52/0.89 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a) % 0.52/0.89 | c_Polynomial_Osmult(V_a,c_HOL_Oplus__class_Oplus(V_p,V_q,tc_Polynomial_Opoly(T_a)),T_a) = c_HOL_Oplus__class_Oplus(c_Polynomial_Osmult(V_a,V_p,T_a),c_Polynomial_Osmult(V_a,V_q,T_a),tc_Polynomial_Opoly(T_a)) ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_dvd__mod__imp__dvd_0,axiom, % 0.52/0.89 ( ~ class_Divides_Osemiring__div(T_a) % 0.52/0.89 | c_Ring__and__Field_Odvd__class_Odvd(V_k,V_m,T_a) % 0.52/0.89 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,V_n,T_a) % 0.52/0.89 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,c_Divides_Odiv__class_Omod(V_m,V_n,T_a),T_a) ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_dvd__mod__iff_1,axiom, % 0.52/0.89 ( ~ class_Divides_Osemiring__div(T_a) % 0.52/0.89 | c_Ring__and__Field_Odvd__class_Odvd(V_k,c_Divides_Odiv__class_Omod(V_m,V_n,T_a),T_a) % 0.52/0.89 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,V_m,T_a) % 0.52/0.89 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,V_n,T_a) ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_dvd__mod__iff_0,axiom, % 0.52/0.89 ( ~ class_Divides_Osemiring__div(T_a) % 0.52/0.89 | c_Ring__and__Field_Odvd__class_Odvd(V_k,V_m,T_a) % 0.52/0.89 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,c_Divides_Odiv__class_Omod(V_m,V_n,T_a),T_a) % 0.52/0.89 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,V_n,T_a) ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_dvd__mod_0,axiom, % 0.52/0.89 ( ~ class_Divides_Osemiring__div(T_a) % 0.52/0.89 | c_Ring__and__Field_Odvd__class_Odvd(V_k,c_Divides_Odiv__class_Omod(V_m,V_n,T_a),T_a) % 0.52/0.89 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,V_n,T_a) % 0.52/0.89 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,V_m,T_a) ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_eq__poly__code_I4_J_2,axiom, % 0.52/0.89 ( ~ class_HOL_Ozero(T_a) % 0.52/0.89 | ~ class_HOL_Oeq(T_a) % 0.52/0.89 | c_HOL_Oeq__class_Oeq(c_Polynomial_OpCons(V_a,V_p,T_a),c_Polynomial_OpCons(V_b,V_q,T_a),tc_Polynomial_Opoly(T_a)) % 0.52/0.89 | ~ c_HOL_Oeq__class_Oeq(V_p,V_q,tc_Polynomial_Opoly(T_a)) % 0.52/0.89 | ~ c_HOL_Oeq__class_Oeq(V_a,V_b,T_a) ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_scaleR__minus__right_0,axiom, % 0.52/0.89 ( ~ class_RealVector_Oreal__vector(T_a) % 0.52/0.89 | c_RealVector_OscaleR__class_OscaleR(V_a,c_HOL_Ouminus__class_Ouminus(V_x,T_a),T_a) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(V_a,V_x,T_a),T_a) ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_scaleR_Ominus__right_0,axiom, % 0.52/0.89 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.52/0.89 | c_RealVector_OscaleR__class_OscaleR(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(V_a,V_b,T_a),T_a) ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_eq__add__iff2_1,axiom, % 0.52/0.89 ( ~ class_Ring__and__Field_Oring(T_a) % 0.52/0.89 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_b,V_a,T_a),V_e,T_a),V_d,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a) ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_nat_Osimps_I2_J_0,axiom, % 0.52/0.89 c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(V_nat_H) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_Zero__neq__Suc_0,axiom, % 0.52/0.89 c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(V_m) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_degree__1_0,axiom, % 0.52/0.89 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.52/0.89 | c_Polynomial_Odegree(c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(T_a)),T_a) = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_poly__offset__poly_0,axiom, % 0.52/0.89 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a) % 0.52/0.89 | c_Polynomial_Opoly(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(V_p,V_h,T_a),V_x,T_a) = c_Polynomial_Opoly(V_p,c_HOL_Oplus__class_Oplus(V_h,V_x,T_a),T_a) ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_zmod__simps_I4_J_0,axiom, % 0.52/0.89 ( ~ class_Divides_Osemiring__div(T_a) % 0.52/0.89 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(V_a,V_c,T_a),V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_c,T_a) ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_degree__offset__poly_0,axiom, % 0.52/0.89 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a) % 0.52/0.89 | 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) ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_exp__diff_0,axiom, % 0.52/0.89 ( ~ class_SEQ_Obanach(T_a) % 0.52/0.89 | ~ class_RealVector_Oreal__normed__field(T_a) % 0.52/0.89 | c_Transcendental_Oexp(c_HOL_Ominus__class_Ominus(V_x,V_y,T_a),T_a) = c_HOL_Oinverse__class_Odivide(c_Transcendental_Oexp(V_x,T_a),c_Transcendental_Oexp(V_y,T_a),T_a) ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_mult__1__right_0,axiom, % 0.52/0.89 ( ~ class_OrderedGroup_Omonoid__mult(T_a) % 0.52/0.89 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Oone__class_Oone(T_a),T_a) = V_a ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_mult__1__left_0,axiom, % 0.52/0.89 ( ~ class_OrderedGroup_Omonoid__mult(T_a) % 0.52/0.89 | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(T_a),V_a,T_a) = V_a ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_mult__1_0,axiom, % 0.52/0.89 ( ~ class_OrderedGroup_Ocomm__monoid__mult(T_a) % 0.52/0.89 | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(T_a),V_a,T_a) = V_a ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_class__semiring_Omul__1_0,axiom, % 0.52/0.89 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.52/0.89 | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(T_a),V_x,T_a) = V_x ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_class__semiring_Osemiring__rules_I12_J_0,axiom, % 0.52/0.89 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.52/0.89 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Oone__class_Oone(T_a),T_a) = V_a ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_class__semiring_Osemiring__rules_I11_J_0,axiom, % 0.52/0.89 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.52/0.89 | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(T_a),V_a,T_a) = V_a ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_dvd__triv__right_0,axiom, % 0.52/0.89 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.52/0.89 | c_Ring__and__Field_Odvd__class_Odvd(V_a,c_HOL_Otimes__class_Otimes(V_b,V_a,T_a),T_a) ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_dvd__triv__left_0,axiom, % 0.52/0.89 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.52/0.89 | c_Ring__and__Field_Odvd__class_Odvd(V_a,c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_dvdI_0,axiom, % 0.52/0.89 ( ~ class_Ring__and__Field_Odvd(T_a) % 0.52/0.89 | c_Ring__and__Field_Odvd__class_Odvd(V_b,c_HOL_Otimes__class_Otimes(V_b,V_k,T_a),T_a) ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_smult__dvd__cancel_0,axiom, % 0.52/0.89 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.52/0.89 | c_Ring__and__Field_Odvd__class_Odvd(V_p,V_q,tc_Polynomial_Opoly(T_a)) % 0.52/0.89 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Osmult(V_a,V_p,T_a),V_q,tc_Polynomial_Opoly(T_a)) ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_dvd__smult_0,axiom, % 0.52/0.89 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.52/0.89 | c_Ring__and__Field_Odvd__class_Odvd(V_p,c_Polynomial_Osmult(V_a,V_q,T_a),tc_Polynomial_Opoly(T_a)) % 0.52/0.89 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_p,V_q,tc_Polynomial_Opoly(T_a)) ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_nonzero__minus__divide__right_0,axiom, % 0.52/0.89 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.52/0.89 | c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) = c_HOL_Oinverse__class_Odivide(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) % 0.52/0.89 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_neg__less__0__iff__less_1,axiom, % 0.52/0.89 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.52/0.89 | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_neg__less__0__iff__less_0,axiom, % 0.52/0.89 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.52/0.89 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.52/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_class__ringb_Oadd__mul__solve_1,axiom, % 0.52/0.89 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.52/0.89 | ~ class_Int_Onumber__ring(T_a) % 0.52/0.89 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),c_HOL_Otimes__class_Otimes(V_x,V_z,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_z,T_a),c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),T_a) ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_class__ringb_Onoteq__reduce_1,axiom, % 0.52/0.89 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.52/0.89 | ~ class_Int_Onumber__ring(T_a) % 0.52/0.89 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_c,T_a),c_HOL_Otimes__class_Otimes(V_x,V_d,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_d,T_a),c_HOL_Otimes__class_Otimes(V_x,V_c,T_a),T_a) ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_poly__gcd__left__commute_0,axiom, % 0.52/0.89 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.52/0.89 | c_Polynomial_Opoly__gcd(V_x,c_Polynomial_Opoly__gcd(V_y,V_z,T_a),T_a) = c_Polynomial_Opoly__gcd(V_y,c_Polynomial_Opoly__gcd(V_x,V_z,T_a),T_a) ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_poly__gcd__assoc_0,axiom, % 0.52/0.89 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.52/0.89 | c_Polynomial_Opoly__gcd(c_Polynomial_Opoly__gcd(V_x,V_y,T_a),V_z,T_a) = c_Polynomial_Opoly__gcd(V_x,c_Polynomial_Opoly__gcd(V_y,V_z,T_a),T_a) ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_abs__mult__less_0,axiom, % 0.52/0.89 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.52/0.89 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a),c_HOL_Otimes__class_Otimes(V_c,V_d,T_a),T_a) % 0.52/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(V_b,T_a),V_d,T_a) % 0.52/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(V_a,T_a),V_c,T_a) ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_diff__add__cancel_0,axiom, % 0.52/0.89 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.52/0.89 | c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_b,T_a) = V_a ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_offset__poly__pCons_0,axiom, % 0.52/0.89 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a) % 0.52/0.89 | c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(c_Polynomial_OpCons(V_a,V_p,T_a),V_h,T_a) = c_HOL_Oplus__class_Oplus(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),tc_Polynomial_Opoly(T_a)) ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_poly__gcd__minus__right_0,axiom, % 0.52/0.89 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.52/0.89 | c_Polynomial_Opoly__gcd(V_x,c_HOL_Ouminus__class_Ouminus(V_y,tc_Polynomial_Opoly(T_a)),T_a) = c_Polynomial_Opoly__gcd(V_x,V_y,T_a) ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_poly__gcd__minus__left_0,axiom, % 0.52/0.89 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.52/0.89 | c_Polynomial_Opoly__gcd(c_HOL_Ouminus__class_Ouminus(V_x,tc_Polynomial_Opoly(T_a)),V_y,T_a) = c_Polynomial_Opoly__gcd(V_x,V_y,T_a) ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_class__semiring_Omul__c_0,axiom, % 0.52/0.89 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.52/0.89 | c_HOL_Otimes__class_Otimes(V_x,V_y,T_a) = c_HOL_Otimes__class_Otimes(V_y,V_x,T_a) ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_class__semiring_Osemiring__rules_I7_J_0,axiom, % 0.52/0.89 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.52/0.89 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) = c_HOL_Otimes__class_Otimes(V_b,V_a,T_a) ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_mod__add__eq_0,axiom, % 0.52/0.89 ( ~ class_Divides_Osemiring__div(T_a) % 0.52/0.89 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(V_a,V_c,T_a),c_Divides_Odiv__class_Omod(V_b,V_c,T_a),T_a),V_c,T_a) ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_xt1_I10_J_0,axiom, % 0.52/0.89 ( ~ class_Orderings_Oorder(T_a) % 0.52/0.89 | c_HOL_Oord__class_Oless(V_z,V_x,T_a) % 0.52/0.89 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a) % 0.52/0.89 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_order__less__trans_0,axiom, % 0.52/0.89 ( ~ class_Orderings_Opreorder(T_a) % 0.52/0.89 | c_HOL_Oord__class_Oless(V_x,V_z,T_a) % 0.52/0.89 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a) % 0.52/0.89 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_coeff__smult_0,axiom, % 0.52/0.89 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a) % 0.52/0.89 | c_Polynomial_Ocoeff(c_Polynomial_Osmult(V_a,V_p,T_a),V_n,T_a) = c_HOL_Otimes__class_Otimes(V_a,c_Polynomial_Ocoeff(V_p,V_n,T_a),T_a) ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_coeff__monom_1,axiom, % 0.52/0.89 ( ~ class_HOL_Ozero(T_a) % 0.52/0.89 | c_Polynomial_Ocoeff(c_Polynomial_Omonom(V_a,V_m,T_a),V_n,T_a) = c_HOL_Ozero__class_Ozero(T_a) % 0.52/0.89 | V_m = V_n ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_comm__monoid__add_Omult__left__commute_0,axiom, % 0.52/0.89 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.52/0.89 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) = c_HOL_Oplus__class_Oplus(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a) ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_comm__monoid__add_Omult__assoc_0,axiom, % 0.52/0.89 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.52/0.89 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_class__semiring_Oadd__a_0,axiom, % 0.52/0.89 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.52/0.89 | c_HOL_Oplus__class_Oplus(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_x,V_y,T_a),V_z,T_a) ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_add__cancel__21_1,axiom, % 0.52/0.89 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.52/0.89 | c_HOL_Oplus__class_Oplus(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a) = c_HOL_Oplus__class_Oplus(V_y,c_HOL_Oplus__class_Oplus(V_x,V_z,T_a),T_a) ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_ab__semigroup__add__class_Oadd__ac_I1_J_0,axiom, % 0.52/0.89 ( ~ class_OrderedGroup_Oab__semigroup__add(T_a) % 0.52/0.89 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_class__semiring_Osemiring__rules_I25_J_0,axiom, % 0.52/0.89 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.52/0.89 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(V_c,V_d,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),V_d,T_a) ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_class__semiring_Osemiring__rules_I23_J_0,axiom, % 0.52/0.89 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.52/0.89 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),V_b,T_a) ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_class__semiring_Osemiring__rules_I22_J_0,axiom, % 0.52/0.89 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.52/0.89 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(V_c,V_d,T_a),T_a) = c_HOL_Oplus__class_Oplus(V_c,c_HOL_Oplus__class_Oplus(V_a,V_d,T_a),T_a) ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_class__semiring_Osemiring__rules_I21_J_0,axiom, % 0.52/0.89 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.52/0.89 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_right__inverse__eq_1,axiom, % 0.52/0.89 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.52/0.89 | V_x = c_HOL_Ozero__class_Ozero(T_a) % 0.52/0.89 | c_HOL_Oinverse__class_Odivide(V_x,V_x,T_a) = c_HOL_Oone__class_Oone(T_a) ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_divide__self_0,axiom, % 0.52/0.89 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.52/0.89 | c_HOL_Oinverse__class_Odivide(V_a,V_a,T_a) = c_HOL_Oone__class_Oone(T_a) % 0.52/0.89 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_divide__self__if_1,axiom, % 0.52/0.89 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.52/0.89 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.89 | c_HOL_Oinverse__class_Odivide(V_a,V_a,T_a) = c_HOL_Oone__class_Oone(T_a) % 0.52/0.89 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_mod__add__right__eq_0,axiom, % 0.52/0.89 ( ~ class_Divides_Osemiring__div(T_a) % 0.52/0.89 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a,c_Divides_Odiv__class_Omod(V_b,V_c,T_a),T_a),V_c,T_a) ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_mod__add__left__eq_0,axiom, % 0.52/0.89 ( ~ class_Divides_Osemiring__div(T_a) % 0.52/0.89 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(V_a,V_c,T_a),V_b,T_a),V_c,T_a) ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_eq__eqI_0,axiom, % 0.52/0.89 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.52/0.89 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a) % 0.52/0.89 | V_x_H = V_y_H ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_eq__eqI_1,axiom, % 0.52/0.89 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.52/0.89 | c_HOL_Ominus__class_Ominus(V_xa,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) % 0.52/0.89 | V_xa = V_y ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_minus__divide__divide_0,axiom, % 0.52/0.89 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.52/0.89 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.89 | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) = c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a) ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_divide_Ominus_0,axiom, % 0.52/0.89 ( ~ class_RealVector_Oreal__normed__field(T_a) % 0.52/0.89 | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(V_x,T_a),V_y,T_a) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),T_a) ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_mult_Oprod__diff__prod_0,axiom, % 0.52/0.89 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.52/0.89 | c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_x,V_a,T_a),c_HOL_Ominus__class_Ominus(V_y,V_b,T_a),T_a),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_x,V_a,T_a),V_b,T_a),T_a),c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ominus__class_Ominus(V_y,V_b,T_a),T_a),T_a) ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_poly__minus_0,axiom, % 0.52/0.89 ( ~ class_Ring__and__Field_Ocomm__ring(T_a) % 0.52/0.89 | c_Polynomial_Opoly(c_HOL_Ouminus__class_Ouminus(V_p,tc_Polynomial_Opoly(T_a)),V_x,T_a) = c_HOL_Ouminus__class_Ouminus(c_Polynomial_Opoly(V_p,V_x,T_a),T_a) ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_combine__common__factor_0,axiom, % 0.52/0.89 ( ~ class_Ring__and__Field_Osemiring(T_a) % 0.52/0.89 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_c,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_e,T_a),V_c,T_a) ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_eq__neg__iff__add__eq__0_0,axiom, % 0.52/0.89 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.52/0.89 | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_b,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_ab__left__minus_0,axiom, % 0.52/0.89 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.52/0.89 | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_right__minus_0,axiom, % 0.52/0.89 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.52/0.89 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_left__minus_0,axiom, % 0.52/0.89 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.52/0.89 | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_add__neg__neg_0,axiom, % 0.52/0.89 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 0.52/0.89 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.89 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.89 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_mult__right_Odiff_0,axiom, % 0.52/0.89 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.52/0.89 | c_HOL_Otimes__class_Otimes(V_xa,c_HOL_Ominus__class_Ominus(V_x,V_y,T_a),T_a) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(V_xa,V_x,T_a),c_HOL_Otimes__class_Otimes(V_xa,V_y,T_a),T_a) ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_mult_Odiff__right_0,axiom, % 0.52/0.89 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.52/0.89 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ominus__class_Ominus(V_b,V_b_H,T_a),T_a) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Otimes__class_Otimes(V_a,V_b_H,T_a),T_a) ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_mult_Odiff__left_0,axiom, % 0.52/0.89 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.52/0.89 | c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_a,V_a_H,T_a),V_b,T_a) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Otimes__class_Otimes(V_a_H,V_b,T_a),T_a) ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_mult__left_Odiff_0,axiom, % 0.52/0.89 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.52/0.89 | c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_x,V_y,T_a),V_ya,T_a) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(V_x,V_ya,T_a),c_HOL_Otimes__class_Otimes(V_y,V_ya,T_a),T_a) ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_Deriv_Oadd__diff__add_0,axiom, % 0.52/0.89 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.52/0.89 | c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_d,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ominus__class_Ominus(V_c,V_d,T_a),T_a) ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_sgn__one_0,axiom, % 0.52/0.89 ( ~ class_RealVector_Oreal__normed__algebra__1(T_a) % 0.52/0.89 | c_HOL_Osgn__class_Osgn(c_HOL_Oone__class_Oone(T_a),T_a) = c_HOL_Oone__class_Oone(T_a) ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_synthetic__div__correct_H_0,axiom, % 0.52/0.89 ( ~ class_Ring__and__Field_Ocomm__ring__1(T_a) % 0.52/0.89 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Polynomial_OpCons(c_HOL_Ouminus__class_Ouminus(V_c,T_a),c_Polynomial_OpCons(c_HOL_Oone__class_Oone(T_a),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),T_a),T_a),c_Polynomial_Osynthetic__div(V_p,V_c,T_a),tc_Polynomial_Opoly(T_a)),c_Polynomial_OpCons(c_Polynomial_Opoly(V_p,V_c,T_a),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),T_a),tc_Polynomial_Opoly(T_a)) = V_p ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_dvd__minus__iff_0,axiom, % 0.52/0.89 ( ~ class_Ring__and__Field_Ocomm__ring__1(T_a) % 0.52/0.89 | c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,T_a) % 0.52/0.89 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,c_HOL_Ouminus__class_Ouminus(V_y,T_a),T_a) ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_dvd__minus__iff_1,axiom, % 0.52/0.89 ( ~ class_Ring__and__Field_Ocomm__ring__1(T_a) % 0.52/0.89 | c_Ring__and__Field_Odvd__class_Odvd(V_x,c_HOL_Ouminus__class_Ouminus(V_y,T_a),T_a) % 0.52/0.89 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,T_a) ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_minus__dvd__iff_0,axiom, % 0.52/0.89 ( ~ class_Ring__and__Field_Ocomm__ring__1(T_a) % 0.52/0.89 | c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,T_a) % 0.52/0.89 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(V_x,T_a),V_y,T_a) ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_minus__dvd__iff_1,axiom, % 0.52/0.89 ( ~ class_Ring__and__Field_Ocomm__ring__1(T_a) % 0.52/0.89 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(V_x,T_a),V_y,T_a) % 0.52/0.89 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,T_a) ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_add__monom_0,axiom, % 0.52/0.89 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.52/0.89 | c_HOL_Oplus__class_Oplus(c_Polynomial_Omonom(V_a,V_n,T_a),c_Polynomial_Omonom(V_b,V_n,T_a),tc_Polynomial_Opoly(T_a)) = c_Polynomial_Omonom(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_n,T_a) ) ). % 0.52/0.89 % 0.52/0.89 cnf(cls_Rational_Oordered__idom__class_Osgn__less_0,axiom, % 0.52/0.89 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.52/0.89 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Osgn__class_Osgn(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_Rational_Oordered__idom__class_Osgn__less_1,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.52/0.90 | c_HOL_Oord__class_Oless(c_HOL_Osgn__class_Osgn(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.90 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_divide__strict__right__mono_0,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.90 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_a,V_c,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 0.52/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.52/0.90 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_divide__strict__right__mono__neg_0,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.90 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_a,V_c,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 0.52/0.90 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.90 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_mod__diff__eq_0,axiom, % 0.52/0.90 ( ~ class_Divides_Oring__div(T_a) % 0.52/0.90 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(V_a,V_c,T_a),c_Divides_Odiv__class_Omod(V_b,V_c,T_a),T_a),V_c,T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_divide__1_0,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.52/0.90 | c_HOL_Oinverse__class_Odivide(V_a,c_HOL_Oone__class_Oone(T_a),T_a) = V_a ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_abs__minus__cancel_0,axiom, % 0.52/0.90 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 0.52/0.90 | c_HOL_Oabs__class_Oabs(c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) = c_HOL_Oabs__class_Oabs(V_a,T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_class__ringb_Oadd__cancel_0,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.52/0.90 | ~ class_Int_Onumber__ring(T_a) % 0.52/0.90 | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) != c_HOL_Oplus__class_Oplus(V_x,V_z,T_a) % 0.52/0.90 | V_y = V_z ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_add__imp__eq_0,axiom, % 0.52/0.90 ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(T_a) % 0.52/0.90 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) != c_HOL_Oplus__class_Oplus(V_a,V_c,T_a) % 0.52/0.90 | V_b = V_c ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_add__left__cancel_0,axiom, % 0.52/0.90 ( ~ class_OrderedGroup_Ocancel__semigroup__add(T_a) % 0.52/0.90 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) != c_HOL_Oplus__class_Oplus(V_a,V_c,T_a) % 0.52/0.90 | V_b = V_c ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_add__right__cancel_0,axiom, % 0.52/0.90 ( ~ class_OrderedGroup_Ocancel__semigroup__add(T_a) % 0.52/0.90 | c_HOL_Oplus__class_Oplus(V_b,V_a,T_a) != c_HOL_Oplus__class_Oplus(V_c,V_a,T_a) % 0.52/0.90 | V_b = V_c ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_not__square__less__zero_0,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.52/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_dvd__imp__mod__0_0,axiom, % 0.52/0.90 ( ~ class_Divides_Osemiring__div(T_a) % 0.52/0.90 | c_Divides_Odiv__class_Omod(V_b,V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) % 0.52/0.90 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_dvd__eq__mod__eq__0_1,axiom, % 0.52/0.90 ( ~ class_Divides_Osemiring__div(T_a) % 0.52/0.90 | c_Divides_Odiv__class_Omod(V_b,V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.52/0.90 | c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_poly__gcd__1__left_0,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.52/0.90 | c_Polynomial_Opoly__gcd(c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(T_a)),V_y,T_a) = c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(T_a)) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_poly__gcd__1__right_0,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.52/0.90 | c_Polynomial_Opoly__gcd(V_x,c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(T_a)),T_a) = c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(T_a)) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_pos__poly__total_0,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.52/0.90 | c_Polynomial_Opos__poly(c_HOL_Ouminus__class_Ouminus(V_p,tc_Polynomial_Opoly(T_a)),T_a) % 0.52/0.90 | c_Polynomial_Opos__poly(V_p,T_a) % 0.52/0.90 | V_p = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_coeff__add_0,axiom, % 0.52/0.90 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.52/0.90 | c_Polynomial_Ocoeff(c_HOL_Oplus__class_Oplus(V_p,V_q,tc_Polynomial_Opoly(T_a)),V_n,T_a) = c_HOL_Oplus__class_Oplus(c_Polynomial_Ocoeff(V_p,V_n,T_a),c_Polynomial_Ocoeff(V_q,V_n,T_a),T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_minus__monom_0,axiom, % 0.52/0.90 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.52/0.90 | c_HOL_Ouminus__class_Ouminus(c_Polynomial_Omonom(V_a,V_n,T_a),tc_Polynomial_Opoly(T_a)) = c_Polynomial_Omonom(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_n,T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_mult_OscaleR__left_0,axiom, % 0.52/0.90 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.52/0.90 | c_HOL_Otimes__class_Otimes(c_RealVector_OscaleR__class_OscaleR(V_r,V_a,T_a),V_b,T_a) = c_RealVector_OscaleR__class_OscaleR(V_r,c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_mult__left_OscaleR_0,axiom, % 0.52/0.90 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.52/0.90 | c_HOL_Otimes__class_Otimes(c_RealVector_OscaleR__class_OscaleR(V_r,V_x,T_a),V_y,T_a) = c_RealVector_OscaleR__class_OscaleR(V_r,c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_mult_OscaleR__right_0,axiom, % 0.52/0.90 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.52/0.90 | c_HOL_Otimes__class_Otimes(V_a,c_RealVector_OscaleR__class_OscaleR(V_r,V_b,T_a),T_a) = c_RealVector_OscaleR__class_OscaleR(V_r,c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_mult__right_OscaleR_0,axiom, % 0.52/0.90 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.52/0.90 | c_HOL_Otimes__class_Otimes(V_xa,c_RealVector_OscaleR__class_OscaleR(V_r,V_x,T_a),T_a) = c_RealVector_OscaleR__class_OscaleR(V_r,c_HOL_Otimes__class_Otimes(V_xa,V_x,T_a),T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_mult__scaleR__left_0,axiom, % 0.52/0.90 ( ~ class_RealVector_Oreal__algebra(T_a) % 0.52/0.90 | c_HOL_Otimes__class_Otimes(c_RealVector_OscaleR__class_OscaleR(V_a,V_x,T_a),V_y,T_a) = c_RealVector_OscaleR__class_OscaleR(V_a,c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_mult__scaleR__right_0,axiom, % 0.52/0.90 ( ~ class_RealVector_Oreal__algebra(T_a) % 0.52/0.90 | c_HOL_Otimes__class_Otimes(V_x,c_RealVector_OscaleR__class_OscaleR(V_a,V_y,T_a),T_a) = c_RealVector_OscaleR__class_OscaleR(V_a,c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_nonzero__abs__divide_0,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.90 | c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a) % 0.52/0.90 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_coeff__monom_0,axiom, % 0.52/0.90 ( ~ class_HOL_Ozero(T_a) % 0.52/0.90 | c_Polynomial_Ocoeff(c_Polynomial_Omonom(V_a,V_x,T_a),V_x,T_a) = V_a ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_mod__diff__left__eq_0,axiom, % 0.52/0.90 ( ~ class_Divides_Oring__div(T_a) % 0.52/0.90 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(V_a,V_c,T_a),V_b,T_a),V_c,T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_mod__diff__right__eq_0,axiom, % 0.52/0.90 ( ~ class_Divides_Oring__div(T_a) % 0.52/0.90 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(V_a,c_Divides_Odiv__class_Omod(V_b,V_c,T_a),T_a),V_c,T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_mult__exp__exp_0,axiom, % 0.52/0.90 ( ~ class_SEQ_Obanach(T_a) % 0.52/0.90 | ~ class_RealVector_Oreal__normed__field(T_a) % 0.52/0.90 | c_HOL_Otimes__class_Otimes(c_Transcendental_Oexp(V_x,T_a),c_Transcendental_Oexp(V_y,T_a),T_a) = c_Transcendental_Oexp(c_HOL_Oplus__class_Oplus(V_x,V_y,T_a),T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_add__cancel__21_0,axiom, % 0.52/0.90 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.52/0.90 | c_HOL_Oplus__class_Oplus(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a) != c_HOL_Oplus__class_Oplus(V_y,V_u,T_a) % 0.52/0.90 | c_HOL_Oplus__class_Oplus(V_x,V_z,T_a) = V_u ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_pos__poly__mult_0,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.52/0.90 | c_Polynomial_Opos__poly(c_HOL_Otimes__class_Otimes(V_p,V_q,tc_Polynomial_Opoly(T_a)),T_a) % 0.52/0.90 | ~ c_Polynomial_Opos__poly(V_q,T_a) % 0.52/0.90 | ~ c_Polynomial_Opos__poly(V_p,T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_sgn__if_2,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Osgn__if(T_a) % 0.52/0.90 | c_HOL_Osgn__class_Osgn(V_x,T_a) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(T_a),T_a) % 0.52/0.90 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) % 0.52/0.90 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_pdivmod__rel__def_6,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.52/0.90 | c_Polynomial_Opdivmod__rel(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_y,tc_Polynomial_Opoly(T_a)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),tc_Polynomial_Opoly(T_a)),V_y,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_pdivmod__rel__def_5,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.52/0.90 | c_Polynomial_Opdivmod__rel(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),tc_Polynomial_Opoly(T_a)),V_r,tc_Polynomial_Opoly(T_a)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_r,T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_exp__zero_0,axiom, % 0.52/0.90 ( ~ class_SEQ_Obanach(T_a) % 0.52/0.90 | ~ class_RealVector_Oreal__normed__field(T_a) % 0.52/0.90 | c_Transcendental_Oexp(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Oone__class_Oone(T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_divide_OscaleR_0,axiom, % 0.52/0.90 ( ~ class_RealVector_Oreal__normed__field(T_a) % 0.52/0.90 | c_HOL_Oinverse__class_Odivide(c_RealVector_OscaleR__class_OscaleR(V_r,V_x,T_a),V_y,T_a) = c_RealVector_OscaleR__class_OscaleR(V_r,c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_divide__less__0__1__iff_0,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.90 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.90 | c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_divide__less__0__1__iff_1,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.90 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.90 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.90 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_pcompose__pCons_0,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a) % 0.52/0.90 | c_Polynomial_Opcompose(c_Polynomial_OpCons(V_a,V_p,T_a),V_q,T_a) = c_HOL_Oplus__class_Oplus(c_Polynomial_OpCons(V_a,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),T_a),c_HOL_Otimes__class_Otimes(V_q,c_Polynomial_Opcompose(V_p,V_q,T_a),tc_Polynomial_Opoly(T_a)),tc_Polynomial_Opoly(T_a)) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_DERIV__mult__lemma_0,axiom, % 0.52/0.90 ( ~ class_RealVector_Oreal__field(T_a) % 0.52/0.90 | c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Otimes__class_Otimes(V_c,V_d,T_a),T_a),V_h,T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(V_b,V_d,T_a),V_h,T_a),T_a),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(V_a,V_c,T_a),V_h,T_a),V_d,T_a),T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_mod__mod__trivial_0,axiom, % 0.52/0.90 ( ~ class_Divides_Osemiring__div(T_a) % 0.52/0.90 | c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(V_a,V_b,T_a),V_b,T_a) = c_Divides_Odiv__class_Omod(V_a,V_b,T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_poly__pcompose_0,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a) % 0.52/0.90 | c_Polynomial_Opoly(c_Polynomial_Opcompose(V_p,V_q,T_a),V_x,T_a) = c_Polynomial_Opoly(V_p,c_Polynomial_Opoly(V_q,V_x,T_a),T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_smult__minus__left_0,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Ocomm__ring(T_a) % 0.52/0.90 | c_Polynomial_Osmult(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_p,T_a) = c_HOL_Ouminus__class_Ouminus(c_Polynomial_Osmult(V_a,V_p,T_a),tc_Polynomial_Opoly(T_a)) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_smult__minus__right_0,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Ocomm__ring(T_a) % 0.52/0.90 | c_Polynomial_Osmult(V_a,c_HOL_Ouminus__class_Ouminus(V_p,tc_Polynomial_Opoly(T_a)),T_a) = c_HOL_Ouminus__class_Ouminus(c_Polynomial_Osmult(V_a,V_p,T_a),tc_Polynomial_Opoly(T_a)) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_eq__add__iff1_1,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Oring(T_a) % 0.52/0.90 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_e,T_a),V_c,T_a),T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_dvd__mult__cancel__left_2,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.52/0.90 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) % 0.52/0.90 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_dvd__mult__cancel__right_2,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.52/0.90 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) % 0.52/0.90 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_coeff__pCons__Suc_0,axiom, % 0.52/0.90 ( ~ class_HOL_Ozero(T_a) % 0.52/0.90 | c_Polynomial_Ocoeff(c_Polynomial_OpCons(V_a,V_p,T_a),c_Suc(V_n),T_a) = c_Polynomial_Ocoeff(V_p,V_n,T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_eq__poly__code_I4_J_0,axiom, % 0.52/0.90 ( ~ class_HOL_Ozero(T_a) % 0.52/0.90 | ~ class_HOL_Oeq(T_a) % 0.52/0.90 | c_HOL_Oeq__class_Oeq(V_a,V_b,T_a) % 0.52/0.90 | ~ c_HOL_Oeq__class_Oeq(c_Polynomial_OpCons(V_a,V_p,T_a),c_Polynomial_OpCons(V_b,V_q,T_a),tc_Polynomial_Opoly(T_a)) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_abs__idempotent_0,axiom, % 0.52/0.90 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 0.52/0.90 | c_HOL_Oabs__class_Oabs(c_HOL_Oabs__class_Oabs(V_a,T_a),T_a) = c_HOL_Oabs__class_Oabs(V_a,T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_eq__add__iff1_0,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Oring(T_a) % 0.52/0.90 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a) % 0.52/0.90 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_e,T_a),V_c,T_a) = V_d ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_eq__add__iff2_0,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Oring(T_a) % 0.52/0.90 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a) % 0.52/0.90 | V_c = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_b,V_a,T_a),V_e,T_a),V_d,T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_zero__less__abs__iff_1,axiom, % 0.52/0.90 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 0.52/0.90 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oabs__class_Oabs(V_a,T_a),T_a) % 0.52/0.90 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_poly__mult_0,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a) % 0.52/0.90 | c_Polynomial_Opoly(c_HOL_Otimes__class_Otimes(V_p,V_q,tc_Polynomial_Opoly(T_a)),V_x,T_a) = c_HOL_Otimes__class_Otimes(c_Polynomial_Opoly(V_p,V_x,T_a),c_Polynomial_Opoly(V_q,V_x,T_a),T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_coeff__1_1,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.52/0.90 | c_Polynomial_Ocoeff(c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(T_a)),V_n,T_a) = c_HOL_Ozero__class_Ozero(T_a) % 0.52/0.90 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_dvd__poly__gcd__iff_0,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.52/0.90 | c_Ring__and__Field_Odvd__class_Odvd(V_k,V_x,tc_Polynomial_Opoly(T_a)) % 0.52/0.90 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,c_Polynomial_Opoly__gcd(V_x,V_y,T_a),tc_Polynomial_Opoly(T_a)) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_dvd__poly__gcd__iff_1,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.52/0.90 | c_Ring__and__Field_Odvd__class_Odvd(V_k,V_y,tc_Polynomial_Opoly(T_a)) % 0.52/0.90 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,c_Polynomial_Opoly__gcd(V_x,V_y,T_a),tc_Polynomial_Opoly(T_a)) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_poly__add_0,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a) % 0.52/0.90 | c_Polynomial_Opoly(c_HOL_Oplus__class_Oplus(V_p,V_q,tc_Polynomial_Opoly(T_a)),V_x,T_a) = c_HOL_Oplus__class_Oplus(c_Polynomial_Opoly(V_p,V_x,T_a),c_Polynomial_Opoly(V_q,V_x,T_a),T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_scaleR_OscaleR__right_0,axiom, % 0.52/0.90 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.52/0.90 | c_RealVector_OscaleR__class_OscaleR(V_a,c_RealVector_OscaleR__class_OscaleR(V_r,V_b,T_a),T_a) = c_RealVector_OscaleR__class_OscaleR(V_r,c_RealVector_OscaleR__class_OscaleR(V_a,V_b,T_a),T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_scaleR__left__commute_0,axiom, % 0.52/0.90 ( ~ class_RealVector_Oreal__vector(T_a) % 0.52/0.90 | c_RealVector_OscaleR__class_OscaleR(V_a,c_RealVector_OscaleR__class_OscaleR(V_b,V_x,T_a),T_a) = c_RealVector_OscaleR__class_OscaleR(V_b,c_RealVector_OscaleR__class_OscaleR(V_a,V_x,T_a),T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_scaleR__right_OscaleR_0,axiom, % 0.52/0.90 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.52/0.90 | c_RealVector_OscaleR__class_OscaleR(V_ra,c_RealVector_OscaleR__class_OscaleR(V_r,V_x,T_a),T_a) = c_RealVector_OscaleR__class_OscaleR(V_r,c_RealVector_OscaleR__class_OscaleR(V_ra,V_x,T_a),T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_class__semiring_Osemiring__rules_I24_J_0,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.52/0.90 | c_HOL_Oplus__class_Oplus(V_a,V_c,T_a) = c_HOL_Oplus__class_Oplus(V_c,V_a,T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_class__semiring_Oadd__c_0,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.52/0.90 | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) = c_HOL_Oplus__class_Oplus(V_y,V_x,T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_comm__monoid__add_Omult__commute_0,axiom, % 0.52/0.90 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.52/0.90 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) = c_HOL_Oplus__class_Oplus(V_b,V_a,T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_mod__minus__cong_0,axiom, % 0.52/0.90 ( ~ class_Divides_Oring__div(T_a) % 0.52/0.90 | c_Divides_Odiv__class_Omod(V_a,V_b,T_a) != c_Divides_Odiv__class_Omod(V_a_H,V_b,T_a) % 0.52/0.90 | c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(V_a_H,T_a),V_b,T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_mod__mult__eq_0,axiom, % 0.52/0.90 ( ~ class_Divides_Osemiring__div(T_a) % 0.52/0.90 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(V_a,V_c,T_a),c_Divides_Odiv__class_Omod(V_b,V_c,T_a),T_a),V_c,T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_pos__poly__def_1,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.52/0.90 | c_Polynomial_Opos__poly(V_p,T_a) % 0.52/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Polynomial_Ocoeff(V_p,c_Polynomial_Odegree(V_p,T_a),T_a),T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_pos__poly__def_0,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.52/0.90 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Polynomial_Ocoeff(V_p,c_Polynomial_Odegree(V_p,T_a),T_a),T_a) % 0.52/0.90 | ~ c_Polynomial_Opos__poly(V_p,T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_divide__less__eq_1,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.90 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.90 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) % 0.52/0.90 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.90 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.52/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_divide__less__eq_4,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.90 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.90 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) % 0.52/0.90 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) % 0.52/0.90 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_divide__less__eq_5,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.90 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.90 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) % 0.52/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.52/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) % 0.52/0.90 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_divide__less__eq_7,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.90 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.90 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) % 0.52/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.52/0.90 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.90 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_less__divide__eq_1,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.90 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.90 | c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) % 0.52/0.90 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.90 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.52/0.90 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_less__divide__eq_4,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.90 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.90 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 0.52/0.90 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.90 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) % 0.52/0.90 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_less__divide__eq_5,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.90 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.90 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 0.52/0.90 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.90 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) % 0.52/0.90 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_less__divide__eq_7,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.90 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.90 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 0.52/0.90 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.90 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_class__semiring_Osemiring__rules_I4_J_0,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.52/0.90 | c_HOL_Oplus__class_Oplus(V_m,V_m,T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(T_a),c_HOL_Oone__class_Oone(T_a),T_a),V_m,T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_nat_Oinject_0,axiom, % 0.52/0.90 ( c_Suc(V_nat) != c_Suc(V_nat_H) % 0.52/0.90 | V_nat = V_nat_H ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_Suc__inject_0,axiom, % 0.52/0.90 ( c_Suc(V_x) != c_Suc(V_y) % 0.52/0.90 | V_x = V_y ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_add__pCons_0,axiom, % 0.52/0.90 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.52/0.90 | c_HOL_Oplus__class_Oplus(c_Polynomial_OpCons(V_a,V_p,T_a),c_Polynomial_OpCons(V_b,V_q,T_a),tc_Polynomial_Opoly(T_a)) = c_Polynomial_OpCons(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Oplus__class_Oplus(V_p,V_q,tc_Polynomial_Opoly(T_a)),T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_less__add__iff1_0,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 0.52/0.90 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_e,T_a),V_c,T_a),V_d,T_a) % 0.52/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a),T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_less__add__iff1_1,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 0.52/0.90 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a),T_a) % 0.52/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_e,T_a),V_c,T_a),V_d,T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_less__add__iff2_0,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 0.52/0.90 | c_HOL_Oord__class_Oless(V_c,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_b,V_a,T_a),V_e,T_a),V_d,T_a),T_a) % 0.52/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a),T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_less__add__iff2_1,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 0.52/0.90 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a),T_a) % 0.52/0.90 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_b,V_a,T_a),V_e,T_a),V_d,T_a),T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_eq__divide__eq_4,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.52/0.90 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.90 | c_HOL_Ozero__class_Ozero(T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a),V_c,T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_mod__add__cong_0,axiom, % 0.52/0.90 ( ~ class_Divides_Osemiring__div(T_a) % 0.52/0.90 | c_Divides_Odiv__class_Omod(V_b,V_c,T_a) != c_Divides_Odiv__class_Omod(V_b_H,V_c,T_a) % 0.52/0.90 | c_Divides_Odiv__class_Omod(V_a,V_c,T_a) != c_Divides_Odiv__class_Omod(V_a_H,V_c,T_a) % 0.52/0.90 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a_H,V_b_H,T_a),V_c,T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_smult__diff__left_0,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Ocomm__ring(T_a) % 0.52/0.90 | c_Polynomial_Osmult(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_p,T_a) = c_HOL_Ominus__class_Ominus(c_Polynomial_Osmult(V_a,V_p,T_a),c_Polynomial_Osmult(V_b,V_p,T_a),tc_Polynomial_Opoly(T_a)) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_smult__diff__right_0,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Ocomm__ring(T_a) % 0.52/0.90 | c_Polynomial_Osmult(V_a,c_HOL_Ominus__class_Ominus(V_p,V_q,tc_Polynomial_Opoly(T_a)),T_a) = c_HOL_Ominus__class_Ominus(c_Polynomial_Osmult(V_a,V_p,T_a),c_Polynomial_Osmult(V_a,V_q,T_a),tc_Polynomial_Opoly(T_a)) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_minus__unique_0,axiom, % 0.52/0.90 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.52/0.90 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.52/0.90 | c_HOL_Ouminus__class_Ouminus(V_a,T_a) = V_b ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_eq__neg__iff__add__eq__0_1,axiom, % 0.52/0.90 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.52/0.90 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.52/0.90 | V_a = c_HOL_Ouminus__class_Ouminus(V_b,T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_not__one__less__zero_0,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.52/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_abs__less__iff_0,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.52/0.90 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.52/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_class__ringb_Onoteq__reduce_0,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.52/0.90 | ~ class_Int_Onumber__ring(T_a) % 0.52/0.90 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_d,T_a),T_a) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_d,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) % 0.52/0.90 | V_c = V_d % 0.52/0.90 | V_a = V_b ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_class__ringb_Oadd__mul__solve_0,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.52/0.90 | ~ class_Int_Onumber__ring(T_a) % 0.52/0.90 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_w,V_y,T_a),c_HOL_Otimes__class_Otimes(V_x,V_z,T_a),T_a) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_w,V_z,T_a),c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),T_a) % 0.52/0.90 | V_y = V_z % 0.52/0.90 | V_w = V_x ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_abs__diff__less__iff_0,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.52/0.90 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_a,V_r,T_a),V_x,T_a) % 0.52/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(V_x,V_a,T_a),T_a),V_r,T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_pdivmod__rel__pCons_0,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.52/0.90 | V_y = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) % 0.52/0.90 | ~ c_Polynomial_Opdivmod__rel(V_x,V_y,V_q,V_r,T_a) % 0.52/0.90 | c_Polynomial_Opdivmod__rel(c_Polynomial_OpCons(V_a,V_x,T_a),V_y,c_Polynomial_OpCons(c_HOL_Oinverse__class_Odivide(c_Polynomial_Ocoeff(c_Polynomial_OpCons(V_a,V_r,T_a),c_Polynomial_Odegree(V_y,T_a),T_a),c_Polynomial_Ocoeff(V_y,c_Polynomial_Odegree(V_y,T_a),T_a),T_a),V_q,T_a),c_HOL_Ominus__class_Ominus(c_Polynomial_OpCons(V_a,V_r,T_a),c_Polynomial_Osmult(c_HOL_Oinverse__class_Odivide(c_Polynomial_Ocoeff(c_Polynomial_OpCons(V_a,V_r,T_a),c_Polynomial_Odegree(V_y,T_a),T_a),c_Polynomial_Ocoeff(V_y,c_Polynomial_Odegree(V_y,T_a),T_a),T_a),V_y,T_a),tc_Polynomial_Opoly(T_a)),T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_abs__divide_0,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.90 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.90 | c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_abs__of__pos_0,axiom, % 0.52/0.90 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 0.52/0.90 | c_HOL_Oabs__class_Oabs(V_a,T_a) = V_a % 0.52/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_mod__mult__right__eq_0,axiom, % 0.52/0.90 ( ~ class_Divides_Osemiring__div(T_a) % 0.52/0.90 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(V_a,c_Divides_Odiv__class_Omod(V_b,V_c,T_a),T_a),V_c,T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_mod__mult__left__eq_0,axiom, % 0.52/0.90 ( ~ class_Divides_Osemiring__div(T_a) % 0.52/0.90 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(V_a,V_c,T_a),V_b,T_a),V_c,T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_sum__squares__gt__zero__iff_2,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.52/0.90 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,T_a),c_HOL_Otimes__class_Otimes(V_y,V_y,T_a),T_a),T_a) % 0.52/0.90 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_sum__squares__gt__zero__iff_1,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.52/0.90 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,T_a),c_HOL_Otimes__class_Otimes(V_y,V_y,T_a),T_a),T_a) % 0.52/0.90 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_degree__0_0,axiom, % 0.52/0.90 ( ~ class_HOL_Ozero(T_a) % 0.52/0.90 | c_Polynomial_Odegree(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),T_a) = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_scaleR__right_Oadd_0,axiom, % 0.52/0.90 ( ~ class_RealVector_Oreal__vector(T_a) % 0.52/0.90 | c_RealVector_OscaleR__class_OscaleR(V_a,c_HOL_Oplus__class_Oplus(V_x,V_y,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(V_a,V_x,T_a),c_RealVector_OscaleR__class_OscaleR(V_a,V_y,T_a),T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_scaleR_Oadd__right_0,axiom, % 0.52/0.90 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.52/0.90 | c_RealVector_OscaleR__class_OscaleR(V_a,c_HOL_Oplus__class_Oplus(V_b,V_b_H,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(V_a,V_b,T_a),c_RealVector_OscaleR__class_OscaleR(V_a,V_b_H,T_a),T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_poly__smult_0,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a) % 0.52/0.90 | c_Polynomial_Opoly(c_Polynomial_Osmult(V_a,V_p,T_a),V_x,T_a) = c_HOL_Otimes__class_Otimes(V_a,c_Polynomial_Opoly(V_p,V_x,T_a),T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_divide__less__0__iff_3,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.90 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.90 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.52/0.90 | c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_divide__less__0__iff_2,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.90 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.90 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.90 | c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_divide__less__0__iff_1,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.90 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.90 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.52/0.90 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.52/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_divide__less__0__iff_0,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.90 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.90 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.90 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.52/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_pdivmod__rel__mult_0,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.52/0.90 | c_Polynomial_Opdivmod__rel(V_x,c_HOL_Otimes__class_Otimes(V_y,V_z,tc_Polynomial_Opoly(T_a)),V_q_H,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_y,V_r_H,tc_Polynomial_Opoly(T_a)),V_r,tc_Polynomial_Opoly(T_a)),T_a) % 0.52/0.90 | ~ c_Polynomial_Opdivmod__rel(V_q,V_z,V_q_H,V_r_H,T_a) % 0.52/0.90 | ~ c_Polynomial_Opdivmod__rel(V_x,V_y,V_q,V_r,T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_add__cancel__end_0,axiom, % 0.52/0.90 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.52/0.90 | c_HOL_Oplus__class_Oplus(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a) != V_y % 0.52/0.90 | V_x = c_HOL_Ouminus__class_Ouminus(V_z,T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_mult__divide__mult__cancel__right_0,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.52/0.90 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.90 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) = c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a) % 0.52/0.90 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_mult__divide__mult__cancel__left_0,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.52/0.90 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.90 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) = c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a) % 0.52/0.90 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_exp__add_0,axiom, % 0.52/0.90 ( ~ class_SEQ_Obanach(T_a) % 0.52/0.90 | ~ class_RealVector_Oreal__normed__field(T_a) % 0.52/0.90 | c_Transcendental_Oexp(c_HOL_Oplus__class_Oplus(V_x,V_y,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_Transcendental_Oexp(V_x,T_a),c_Transcendental_Oexp(V_y,T_a),T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_mult__frac__num_0,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.52/0.90 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.90 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),V_z,T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_x,V_z,T_a),V_y,T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_mult__smult__right_0,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a) % 0.52/0.90 | c_HOL_Otimes__class_Otimes(V_p,c_Polynomial_Osmult(V_a,V_q,T_a),tc_Polynomial_Opoly(T_a)) = c_Polynomial_Osmult(V_a,c_HOL_Otimes__class_Otimes(V_p,V_q,tc_Polynomial_Opoly(T_a)),T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_mult__smult__left_0,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a) % 0.52/0.90 | c_HOL_Otimes__class_Otimes(c_Polynomial_Osmult(V_a,V_p,T_a),V_q,tc_Polynomial_Opoly(T_a)) = c_Polynomial_Osmult(V_a,c_HOL_Otimes__class_Otimes(V_p,V_q,tc_Polynomial_Opoly(T_a)),T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_poly__diff_0,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Ocomm__ring(T_a) % 0.52/0.90 | c_Polynomial_Opoly(c_HOL_Ominus__class_Ominus(V_p,V_q,tc_Polynomial_Opoly(T_a)),V_x,T_a) = c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(V_p,V_x,T_a),c_Polynomial_Opoly(V_q,V_x,T_a),T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_mult__strict__left__mono__comm_0,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(T_a) % 0.52/0.90 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) % 0.52/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.52/0.90 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_mult__less__cancel__right__disj_5,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.52/0.90 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) % 0.52/0.90 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 0.52/0.90 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_mult__less__cancel__right__disj_4,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.52/0.90 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) % 0.52/0.90 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.52/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_mult__strict__right__mono_0,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.52/0.90 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) % 0.52/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.52/0.90 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_mult__strict__right__mono__neg_0,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.52/0.90 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) % 0.52/0.90 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.90 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_mult__less__cancel__left__disj_5,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.52/0.90 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) % 0.52/0.90 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 0.52/0.90 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_mult__less__cancel__left__disj_4,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.52/0.90 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) % 0.52/0.90 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.52/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_mult__strict__left__mono_0,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.52/0.90 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) % 0.52/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.52/0.90 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_mult__strict__left__mono__neg_0,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.52/0.90 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) % 0.52/0.90 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.90 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_mult__less__cancel__left__pos_1,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.52/0.90 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) % 0.52/0.90 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.52/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_mult__less__cancel__left__pos_0,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.52/0.90 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.52/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) % 0.52/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_mult__less__cancel__left__neg_1,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.52/0.90 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) % 0.52/0.90 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 0.52/0.90 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_mult__less__cancel__left__neg_0,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.52/0.90 | c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 0.52/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) % 0.52/0.90 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_diff__minus__eq__add_0,axiom, % 0.52/0.90 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.52/0.90 | c_HOL_Ominus__class_Ominus(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) = c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_mod__mult__self2_0,axiom, % 0.52/0.90 ( ~ class_Divides_Osemiring__div(T_a) % 0.52/0.90 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a,c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a),V_b,T_a) = c_Divides_Odiv__class_Omod(V_a,V_b,T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_mod__mult__self1_0,axiom, % 0.52/0.90 ( ~ class_Divides_Osemiring__div(T_a) % 0.52/0.90 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a,c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a),V_b,T_a) = c_Divides_Odiv__class_Omod(V_a,V_b,T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_smult__smult_0,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a) % 0.52/0.90 | c_Polynomial_Osmult(V_a,c_Polynomial_Osmult(V_b,V_p,T_a),T_a) = c_Polynomial_Osmult(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_p,T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_dvd__mult__cancel__right_0,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.52/0.90 | c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) % 0.52/0.90 | V_c = c_HOL_Ozero__class_Ozero(T_a) % 0.52/0.90 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_dvd__mult__cancel__left_0,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.52/0.90 | c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) % 0.52/0.90 | V_c = c_HOL_Ozero__class_Ozero(T_a) % 0.52/0.90 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_synthetic__div__correct_0,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a) % 0.52/0.90 | c_HOL_Oplus__class_Oplus(V_p,c_Polynomial_Osmult(V_c,c_Polynomial_Osynthetic__div(V_p,V_c,T_a),T_a),tc_Polynomial_Opoly(T_a)) = c_Polynomial_OpCons(c_Polynomial_Opoly(V_p,V_c,T_a),c_Polynomial_Osynthetic__div(V_p,V_c,T_a),T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_add__diff__cancel_0,axiom, % 0.52/0.90 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.52/0.90 | c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_b,T_a) = V_a ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_add__divide__distrib_0,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.52/0.90 | c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(V_a,V_c,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_divide_Oadd_0,axiom, % 0.52/0.90 ( ~ class_RealVector_Oreal__normed__field(T_a) % 0.52/0.90 | c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(V_x,V_y,T_a),V_ya,T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(V_x,V_ya,T_a),c_HOL_Oinverse__class_Odivide(V_y,V_ya,T_a),T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_abs__diff__less__iff_2,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.52/0.90 | c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(V_x,V_a,T_a),T_a),V_r,T_a) % 0.52/0.90 | ~ c_HOL_Oord__class_Oless(V_x,c_HOL_Oplus__class_Oplus(V_a,V_r,T_a),T_a) % 0.52/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_a,V_r,T_a),V_x,T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_less__1__mult_0,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.52/0.90 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),c_HOL_Otimes__class_Otimes(V_m,V_n,T_a),T_a) % 0.52/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_n,T_a) % 0.52/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_m,T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_minus__equation__iff_1,axiom, % 0.52/0.90 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.52/0.90 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) = V_b ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_equation__minus__iff_1,axiom, % 0.52/0.90 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.52/0.90 | V_a = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_equation__minus__iff_0,axiom, % 0.52/0.90 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.52/0.90 | V_b = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_double__compl_0,axiom, % 0.52/0.90 ( ~ class_Lattices_Oboolean__algebra(T_a) % 0.52/0.90 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_x,T_a),T_a) = V_x ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_minus__minus_0,axiom, % 0.52/0.90 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.52/0.90 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) = V_a ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_minus__diff__eq_0,axiom, % 0.52/0.90 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.52/0.90 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),T_a) = c_HOL_Ominus__class_Ominus(V_b,V_a,T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_minus__less__iff_1,axiom, % 0.52/0.90 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.52/0.90 | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) % 0.52/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_minus__less__iff_0,axiom, % 0.52/0.90 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.52/0.90 | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a) % 0.52/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_less__minus__iff_1,axiom, % 0.52/0.90 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.52/0.90 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) % 0.52/0.90 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_less__minus__iff_0,axiom, % 0.52/0.90 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.52/0.90 | c_HOL_Oord__class_Oless(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) % 0.52/0.90 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_poly__eq__0__iff__dvd_1,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.52/0.90 | c_Polynomial_Opoly(V_p,V_c,T_a) = c_HOL_Ozero__class_Ozero(T_a) % 0.52/0.90 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_OpCons(c_HOL_Ouminus__class_Ouminus(V_c,T_a),c_Polynomial_OpCons(c_HOL_Oone__class_Oone(T_a),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),T_a),T_a),V_p,tc_Polynomial_Opoly(T_a)) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_poly__eq__0__iff__dvd_0,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.52/0.90 | c_Polynomial_Opoly(V_p,V_c,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.52/0.90 | c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_OpCons(c_HOL_Ouminus__class_Ouminus(V_c,T_a),c_Polynomial_OpCons(c_HOL_Oone__class_Oone(T_a),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),T_a),T_a),V_p,tc_Polynomial_Opoly(T_a)) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_dvd__iff__poly__eq__0_1,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.52/0.90 | c_Polynomial_Opoly(V_p,c_HOL_Ouminus__class_Ouminus(V_c,T_a),T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.52/0.90 | c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_OpCons(V_c,c_Polynomial_OpCons(c_HOL_Oone__class_Oone(T_a),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),T_a),T_a),V_p,tc_Polynomial_Opoly(T_a)) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_dvd__iff__poly__eq__0_0,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.52/0.90 | c_Polynomial_Opoly(V_p,c_HOL_Ouminus__class_Ouminus(V_c,T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) % 0.52/0.90 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_OpCons(V_c,c_Polynomial_OpCons(c_HOL_Oone__class_Oone(T_a),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),T_a),T_a),V_p,tc_Polynomial_Opoly(T_a)) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_pCons_Ohyps_1,axiom, % 0.52/0.90 ( c_Polynomial_Opoly(v_ds____,v_sko__local__XpCons__Xhyps__1(v_ds____),tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) % 0.52/0.90 | v_ds____ = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_pCons_I1_J_1,axiom, % 0.52/0.90 ( c_Polynomial_Opoly(v_ds____,v_sko__local__XpCons__1__1(v_ds____),tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) % 0.52/0.90 | v_ds____ = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_eq__divide__eq_2,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.52/0.90 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.90 | c_HOL_Ozero__class_Ozero(T_a) = c_HOL_Oinverse__class_Odivide(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_scaleR__cancel__right_0,axiom, % 0.52/0.90 ( ~ class_RealVector_Oreal__vector(T_a) % 0.52/0.90 | c_RealVector_OscaleR__class_OscaleR(V_a,V_x,T_a) != c_RealVector_OscaleR__class_OscaleR(V_b,V_x,T_a) % 0.52/0.90 | V_x = c_HOL_Ozero__class_Ozero(T_a) % 0.52/0.90 | V_a = V_b ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_scaleR__cancel__right_1,axiom, % 0.52/0.90 ( ~ class_RealVector_Oreal__vector(T_a) % 0.52/0.90 | c_RealVector_OscaleR__class_OscaleR(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_RealVector_OscaleR__class_OscaleR(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_abs__eq__0_0,axiom, % 0.52/0.90 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 0.52/0.90 | c_HOL_Oabs__class_Oabs(V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.52/0.90 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_neg__equal__zero_1,axiom, % 0.52/0.90 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a) % 0.52/0.90 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_minus__zero_0,axiom, % 0.52/0.90 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.52/0.90 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_neg__0__equal__iff__equal_1,axiom, % 0.52/0.90 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.52/0.90 | c_HOL_Ozero__class_Ozero(T_a) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_sgn__0__0_1,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.52/0.90 | c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_sgn0_0,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Osgn__if(T_a) % 0.52/0.90 | c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_sgn__zero_0,axiom, % 0.52/0.90 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.52/0.90 | c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_mult__eq__0__iff_2,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(T_a) % 0.52/0.90 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_mult__eq__0__iff_1,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(T_a) % 0.52/0.90 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_mult__zero__right_0,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Omult__zero(T_a) % 0.52/0.90 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_mult__zero__left_0,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Omult__zero(T_a) % 0.52/0.90 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_class__semiring_Omul__0_0,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.52/0.90 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_mult__right_Ozero_0,axiom, % 0.52/0.90 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.52/0.90 | c_HOL_Otimes__class_Otimes(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_mult_Ozero__right_0,axiom, % 0.52/0.90 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.52/0.90 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_mult_Ozero__left_0,axiom, % 0.52/0.90 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.52/0.90 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_mult__left_Ozero_0,axiom, % 0.52/0.90 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.52/0.90 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_class__semiring_Osemiring__rules_I10_J_0,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.52/0.90 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_class__semiring_Osemiring__rules_I9_J_0,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.52/0.90 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_dvd__0__right_0,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.52/0.90 | c_Ring__and__Field_Odvd__class_Odvd(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_mod__self_0,axiom, % 0.52/0.90 ( ~ class_Divides_Osemiring__div(T_a) % 0.52/0.90 | c_Divides_Odiv__class_Omod(V_a,V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_mod__by__0_0,axiom, % 0.52/0.90 ( ~ class_Divides_Osemiring__div(T_a) % 0.52/0.90 | c_Divides_Odiv__class_Omod(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_zero__neq__one_0,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a) % 0.52/0.90 | c_HOL_Ozero__class_Ozero(T_a) != c_HOL_Oone__class_Oone(T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_dvd__0__left_0,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.52/0.90 | V_a = c_HOL_Ozero__class_Ozero(T_a) % 0.52/0.90 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_divide__self__if_0,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.52/0.90 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.90 | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_neg__equal__zero_0,axiom, % 0.52/0.90 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a) % 0.52/0.90 | c_HOL_Ouminus__class_Ouminus(V_a,T_a) != V_a % 0.52/0.90 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_neg__equal__0__iff__equal_0,axiom, % 0.52/0.90 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.52/0.90 | c_HOL_Ouminus__class_Ouminus(V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.52/0.90 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_one__neq__zero_0,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a) % 0.52/0.90 | c_HOL_Oone__class_Oone(T_a) != c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_mult__eq__0__iff_0,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(T_a) % 0.52/0.90 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.52/0.90 | V_b = c_HOL_Ozero__class_Ozero(T_a) % 0.52/0.90 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_no__zero__divisors_0,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Ono__zero__divisors(T_a) % 0.52/0.90 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.52/0.90 | V_b = c_HOL_Ozero__class_Ozero(T_a) % 0.52/0.90 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_no__zero__divirors__neq0_0,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Ono__zero__divisors(T_a) % 0.52/0.90 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.52/0.90 | V_a = c_HOL_Ozero__class_Ozero(T_a) % 0.52/0.90 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_double__eq__0__iff_0,axiom, % 0.52/0.90 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.52/0.90 | c_HOL_Oplus__class_Oplus(V_a,V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.52/0.90 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_abs__mult__self_0,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.52/0.90 | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_a,T_a),T_a) = c_HOL_Otimes__class_Otimes(V_a,V_a,T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_mod__mult__cong_0,axiom, % 0.52/0.90 ( ~ class_Divides_Osemiring__div(T_a) % 0.52/0.90 | c_Divides_Odiv__class_Omod(V_b,V_c,T_a) != c_Divides_Odiv__class_Omod(V_b_H,V_c,T_a) % 0.52/0.90 | c_Divides_Odiv__class_Omod(V_a,V_c,T_a) != c_Divides_Odiv__class_Omod(V_a_H,V_c,T_a) % 0.52/0.90 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(V_a_H,V_b_H,T_a),V_c,T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_degree__monom__eq_0,axiom, % 0.52/0.90 ( ~ class_HOL_Ozero(T_a) % 0.52/0.90 | c_Polynomial_Odegree(c_Polynomial_Omonom(V_a,V_n,T_a),T_a) = V_n % 0.52/0.90 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_add__frac__eq_0,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.52/0.90 | c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),c_HOL_Oinverse__class_Odivide(V_w,V_z,T_a),T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_z,T_a),c_HOL_Otimes__class_Otimes(V_w,V_y,T_a),T_a),c_HOL_Otimes__class_Otimes(V_y,V_z,T_a),T_a) % 0.52/0.90 | V_z = c_HOL_Ozero__class_Ozero(T_a) % 0.52/0.90 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_divide__eq__eq_0,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.52/0.90 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.90 | V_b = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_c,T_a) % 0.52/0.90 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_eq__divide__eq_0,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.52/0.90 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.90 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_c,T_a) = V_b % 0.52/0.90 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_class__semiring_Osemiring__rules_I2_J_0,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.52/0.90 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_m,T_a),V_m,T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oone__class_Oone(T_a),T_a),V_m,T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_class__semiring_Osemiring__rules_I3_J_0,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.52/0.90 | c_HOL_Oplus__class_Oplus(V_m,c_HOL_Otimes__class_Otimes(V_a,V_m,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oone__class_Oone(T_a),T_a),V_m,T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_mult__pCons__left_0,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a) % 0.52/0.90 | c_HOL_Otimes__class_Otimes(c_Polynomial_OpCons(V_a,V_p,T_a),V_q,tc_Polynomial_Opoly(T_a)) = c_HOL_Oplus__class_Oplus(c_Polynomial_Osmult(V_a,V_q,T_a),c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_p,V_q,tc_Polynomial_Opoly(T_a)),T_a),tc_Polynomial_Opoly(T_a)) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_mult__pCons__right_0,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a) % 0.52/0.90 | c_HOL_Otimes__class_Otimes(V_p,c_Polynomial_OpCons(V_a,V_q,T_a),tc_Polynomial_Opoly(T_a)) = c_HOL_Oplus__class_Oplus(c_Polynomial_Osmult(V_a,V_p,T_a),c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_p,V_q,tc_Polynomial_Opoly(T_a)),T_a),tc_Polynomial_Opoly(T_a)) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_synthetic__div__unique_0,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a) % 0.52/0.90 | c_HOL_Oplus__class_Oplus(V_p,c_Polynomial_Osmult(V_c,V_q,T_a),tc_Polynomial_Opoly(T_a)) != c_Polynomial_OpCons(V_r,V_q,T_a) % 0.52/0.90 | V_r = c_Polynomial_Opoly(V_p,V_c,T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_mod__by__1_0,axiom, % 0.52/0.90 ( ~ class_Divides_Osemiring__div(T_a) % 0.52/0.90 | c_Divides_Odiv__class_Omod(V_a,c_HOL_Oone__class_Oone(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_abs__dvd__iff_0,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.52/0.90 | c_Ring__and__Field_Odvd__class_Odvd(V_m,V_k,T_a) % 0.52/0.90 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oabs__class_Oabs(V_m,T_a),V_k,T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_abs__dvd__iff_1,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.52/0.90 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oabs__class_Oabs(V_m,T_a),V_k,T_a) % 0.52/0.90 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_m,V_k,T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_dvd__abs__iff_0,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.52/0.90 | c_Ring__and__Field_Odvd__class_Odvd(V_m,V_k,T_a) % 0.52/0.90 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_m,c_HOL_Oabs__class_Oabs(V_k,T_a),T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_dvd__abs__iff_1,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.52/0.90 | c_Ring__and__Field_Odvd__class_Odvd(V_m,c_HOL_Oabs__class_Oabs(V_k,T_a),T_a) % 0.52/0.90 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_m,V_k,T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_linorder__neq__iff_1,axiom, % 0.52/0.90 ( ~ class_Orderings_Olinorder(T_a) % 0.52/0.90 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_order__less__le_1,axiom, % 0.52/0.90 ( ~ class_Orderings_Oorder(T_a) % 0.52/0.90 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_order__less__irrefl_0,axiom, % 0.52/0.90 ( ~ class_Orderings_Opreorder(T_a) % 0.52/0.90 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_synthetic__div__eq__0__iff_0,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a) % 0.52/0.90 | c_Polynomial_Osynthetic__div(V_p,V_c,T_a) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) % 0.52/0.90 | c_Polynomial_Odegree(V_p,T_a) = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_synthetic__div__eq__0__iff_1,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a) % 0.52/0.90 | c_Polynomial_Odegree(V_p,T_a) != c_HOL_Ozero__class_Ozero(tc_nat) % 0.52/0.90 | c_Polynomial_Osynthetic__div(V_p,V_c,T_a) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_add__pos__pos_0,axiom, % 0.52/0.90 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 0.52/0.90 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a) % 0.52/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.52/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_mod__diff__cong_0,axiom, % 0.52/0.90 ( ~ class_Divides_Oring__div(T_a) % 0.52/0.90 | c_Divides_Odiv__class_Omod(V_b,V_c,T_a) != c_Divides_Odiv__class_Omod(V_b_H,V_c,T_a) % 0.52/0.90 | c_Divides_Odiv__class_Omod(V_a,V_c,T_a) != c_Divides_Odiv__class_Omod(V_a_H,V_c,T_a) % 0.52/0.90 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(V_a_H,V_b_H,T_a),V_c,T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_add__strict__mono_0,axiom, % 0.52/0.90 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a) % 0.52/0.90 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_d,T_a),T_a) % 0.52/0.90 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a) % 0.52/0.90 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_add__cancel__end_1,axiom, % 0.52/0.90 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.52/0.90 | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_z,T_a),c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a) = V_y ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_minus__add__cancel_0,axiom, % 0.52/0.90 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.52/0.90 | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a) = V_b ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_Suc__neq__Zero_0,axiom, % 0.52/0.90 c_Suc(V_m) != c_HOL_Ozero__class_Ozero(tc_nat) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_nat_Osimps_I3_J_0,axiom, % 0.52/0.90 c_Suc(V_nat_H) != c_HOL_Ozero__class_Ozero(tc_nat) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_eq__poly__def_0,axiom, % 0.52/0.90 ( ~ class_HOL_Ozero(T_a) % 0.52/0.90 | ~ class_HOL_Oeq(T_a) % 0.52/0.90 | V_p = V_q % 0.52/0.90 | ~ c_HOL_Oeq__class_Oeq(V_p,V_q,tc_Polynomial_Opoly(T_a)) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_eq__equals_0,axiom, % 0.52/0.90 ( ~ class_HOL_Oeq(T_a) % 0.52/0.90 | V_x = V_y % 0.52/0.90 | ~ c_HOL_Oeq__class_Oeq(V_x,V_y,T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_coeff__pCons__0_0,axiom, % 0.52/0.90 ( ~ class_HOL_Ozero(T_a) % 0.52/0.90 | c_Polynomial_Ocoeff(c_Polynomial_OpCons(V_a,V_p,T_a),c_HOL_Ozero__class_Ozero(tc_nat),T_a) = V_a ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_less__iff__diff__less__0_0,axiom, % 0.52/0.90 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.52/0.90 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.90 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_less__iff__diff__less__0_1,axiom, % 0.52/0.90 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.52/0.90 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.52/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_abs__not__less__zero_0,axiom, % 0.52/0.90 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 0.52/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_zero__less__one_0,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.52/0.90 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oone__class_Oone(T_a),T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_divide__strict__left__mono_0,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.90 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_c,V_a,T_a),c_HOL_Oinverse__class_Odivide(V_c,V_b,T_a),T_a) % 0.52/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) % 0.52/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.52/0.90 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_divide__strict__left__mono__neg_0,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.90 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_c,V_a,T_a),c_HOL_Oinverse__class_Odivide(V_c,V_b,T_a),T_a) % 0.52/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) % 0.52/0.90 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.90 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_poly__gcd__commute_0,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.52/0.90 | c_Polynomial_Opoly__gcd(V_x,V_y,T_a) = c_Polynomial_Opoly__gcd(V_y,V_x,T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_sgn__neg_0,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.52/0.90 | c_HOL_Osgn__class_Osgn(V_a,T_a) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(T_a),T_a) % 0.52/0.90 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_sgn__1__neg_0,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.52/0.90 | c_HOL_Osgn__class_Osgn(V_a,T_a) != c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(T_a),T_a) % 0.52/0.90 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_minus__mult__commute_0,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Oring(T_a) % 0.52/0.90 | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) = c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_poly__gcd__dvd2_0,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.52/0.90 | c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Opoly__gcd(V_x,V_y,T_a),V_y,tc_Polynomial_Opoly(T_a)) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_poly__gcd__dvd1_0,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.52/0.90 | c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Opoly__gcd(V_x,V_y,T_a),V_x,tc_Polynomial_Opoly(T_a)) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_dvd__poly__gcd__iff_2,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.52/0.90 | c_Ring__and__Field_Odvd__class_Odvd(V_k,c_Polynomial_Opoly__gcd(V_x,V_y,T_a),tc_Polynomial_Opoly(T_a)) % 0.52/0.90 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,V_y,tc_Polynomial_Opoly(T_a)) % 0.52/0.90 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,V_x,tc_Polynomial_Opoly(T_a)) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_poly__gcd__greatest_0,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.52/0.90 | c_Ring__and__Field_Odvd__class_Odvd(V_k,c_Polynomial_Opoly__gcd(V_x,V_y,T_a),tc_Polynomial_Opoly(T_a)) % 0.52/0.90 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,V_y,tc_Polynomial_Opoly(T_a)) % 0.52/0.90 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,V_x,tc_Polynomial_Opoly(T_a)) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_mod__mod__cancel_0,axiom, % 0.52/0.90 ( ~ class_Divides_Osemiring__div(T_a) % 0.52/0.90 | c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(V_a,V_c,T_a) % 0.52/0.90 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_c,V_b,T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_synthetic__div__unique_1,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a) % 0.52/0.90 | c_HOL_Oplus__class_Oplus(V_p,c_Polynomial_Osmult(V_c,V_q,T_a),tc_Polynomial_Opoly(T_a)) != c_Polynomial_OpCons(V_r,V_q,T_a) % 0.52/0.90 | V_q = c_Polynomial_Osynthetic__div(V_p,V_c,T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_zero__less__divide__1__iff_0,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.90 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.90 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.52/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),V_b,T_a),T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_zero__less__divide__1__iff_1,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.90 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.90 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),V_b,T_a),T_a) % 0.52/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_poly__dvd__antisym_0,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.52/0.90 | c_Polynomial_Ocoeff(V_p,c_Polynomial_Odegree(V_p,T_a),T_a) != c_Polynomial_Ocoeff(V_q,c_Polynomial_Odegree(V_q,T_a),T_a) % 0.52/0.90 | V_p = V_q % 0.52/0.90 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_q,V_p,tc_Polynomial_Opoly(T_a)) % 0.52/0.90 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_p,V_q,tc_Polynomial_Opoly(T_a)) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_abs__if__lattice_1,axiom, % 0.52/0.90 ( ~ class_Orderings_Olinorder(T_a) % 0.52/0.90 | ~ class_OrderedGroup_Olordered__ab__group__add__abs(T_a) % 0.52/0.90 | c_HOL_Oabs__class_Oabs(V_a,T_a) = V_a % 0.52/0.90 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_abs__if_1,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Oabs__if(T_a) % 0.52/0.90 | c_HOL_Oabs__class_Oabs(V_a,T_a) = V_a % 0.52/0.90 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_Lim_Ominus__diff__minus_0,axiom, % 0.52/0.90 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.52/0.90 | c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_mult__dvd__mono_0,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.52/0.90 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_d,T_a),T_a) % 0.52/0.90 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_c,V_d,T_a) % 0.52/0.90 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_poly__1_0,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.52/0.90 | c_Polynomial_Opoly(c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(T_a)),V_x,T_a) = c_HOL_Oone__class_Oone(T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_diff__monom_0,axiom, % 0.52/0.90 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.52/0.90 | c_HOL_Ominus__class_Ominus(c_Polynomial_Omonom(V_a,V_n,T_a),c_Polynomial_Omonom(V_b,V_n,T_a),tc_Polynomial_Opoly(T_a)) = c_Polynomial_Omonom(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_n,T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_abs__add__abs_0,axiom, % 0.52/0.90 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 0.52/0.90 | c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_zero__less__abs__iff_0,axiom, % 0.52/0.90 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 0.52/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(T_a),T_a),T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_divide__neg__pos_0,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.90 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) % 0.52/0.90 | ~ c_HOL_Oord__class_Oless(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_divide__pos__neg_0,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.90 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.90 | ~ c_HOL_Oord__class_Oless(V_y,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_divide__less__0__iff_4,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.90 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.90 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.90 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_divide__less__0__iff_5,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.52/0.90 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.90 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.52/0.90 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_add__less__cancel__left_0,axiom, % 0.52/0.90 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.52/0.90 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.52/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_c,V_a,T_a),c_HOL_Oplus__class_Oplus(V_c,V_b,T_a),T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_add__less__cancel__left_1,axiom, % 0.52/0.90 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.52/0.90 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_c,V_a,T_a),c_HOL_Oplus__class_Oplus(V_c,V_b,T_a),T_a) % 0.52/0.90 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_add__strict__left__mono_0,axiom, % 0.52/0.90 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a) % 0.52/0.90 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_c,V_a,T_a),c_HOL_Oplus__class_Oplus(V_c,V_b,T_a),T_a) % 0.52/0.90 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_add__less__cancel__right_0,axiom, % 0.52/0.90 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.52/0.90 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.52/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_add__less__cancel__right_1,axiom, % 0.52/0.90 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.52/0.90 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) % 0.52/0.90 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_add__strict__right__mono_0,axiom, % 0.52/0.90 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a) % 0.52/0.90 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) % 0.52/0.90 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_poly__pCons_0,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a) % 0.52/0.90 | c_Polynomial_Opoly(c_Polynomial_OpCons(V_a,V_p,T_a),V_x,T_a) = c_HOL_Oplus__class_Oplus(V_a,c_HOL_Otimes__class_Otimes(V_x,c_Polynomial_Opoly(V_p,V_x,T_a),T_a),T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_mod__mult__self1__is__0_0,axiom, % 0.52/0.90 ( ~ class_Divides_Osemiring__div(T_a) % 0.52/0.90 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(V_b,V_a,T_a),V_b,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_mod__mult__self2__is__0_0,axiom, % 0.52/0.90 ( ~ class_Divides_Osemiring__div(T_a) % 0.52/0.90 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_b,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_sum__squares__eq__zero__iff_2,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.52/0.90 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_pdivmod__rel__def_3,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.52/0.90 | V_y = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) % 0.52/0.90 | c_Polynomial_Opdivmod__rel(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_q,V_y,tc_Polynomial_Opoly(T_a)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),tc_Polynomial_Opoly(T_a)),V_y,V_q,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_mult__less__cancel__left__disj_1,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.52/0.90 | c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 0.52/0.90 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.52/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_mult__less__cancel__left__disj_2,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.52/0.90 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.90 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.52/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_mult__less__cancel__right__disj_1,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.52/0.90 | c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 0.52/0.90 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.52/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_mult__less__cancel__right__disj_2,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.52/0.90 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.90 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.52/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_abs__diff__less__iff_1,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.52/0.90 | c_HOL_Oord__class_Oless(V_x,c_HOL_Oplus__class_Oplus(V_a,V_r,T_a),T_a) % 0.52/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(V_x,V_a,T_a),T_a),V_r,T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_neg__0__less__iff__less_0,axiom, % 0.52/0.90 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.52/0.90 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_neg__0__less__iff__less_1,axiom, % 0.52/0.90 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.52/0.90 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) % 0.52/0.90 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_coeff__1_0,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.52/0.90 | c_Polynomial_Ocoeff(c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(T_a)),c_HOL_Ozero__class_Ozero(tc_nat),T_a) = c_HOL_Oone__class_Oone(T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_frac__eq__eq_0,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.52/0.90 | c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a) != c_HOL_Oinverse__class_Odivide(V_w,V_z,T_a) % 0.52/0.90 | V_z = c_HOL_Ozero__class_Ozero(T_a) % 0.52/0.90 | V_y = c_HOL_Ozero__class_Ozero(T_a) % 0.52/0.90 | c_HOL_Otimes__class_Otimes(V_x,V_z,T_a) = c_HOL_Otimes__class_Otimes(V_w,V_y,T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_frac__eq__eq_1,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.52/0.90 | c_HOL_Otimes__class_Otimes(V_x,V_z,T_a) != c_HOL_Otimes__class_Otimes(V_w,V_y,T_a) % 0.52/0.90 | V_z = c_HOL_Ozero__class_Ozero(T_a) % 0.52/0.90 | V_y = c_HOL_Ozero__class_Ozero(T_a) % 0.52/0.90 | c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a) = c_HOL_Oinverse__class_Odivide(V_w,V_z,T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_sgn__mult_0,axiom, % 0.52/0.90 ( ~ class_RealVector_Oreal__normed__div__algebra(T_a) % 0.52/0.90 | c_HOL_Osgn__class_Osgn(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(V_x,T_a),c_HOL_Osgn__class_Osgn(V_y,T_a),T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_sgn__times_0,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.52/0.90 | c_HOL_Osgn__class_Osgn(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(V_a,T_a),c_HOL_Osgn__class_Osgn(V_b,T_a),T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_mod__mult__mult1_0,axiom, % 0.52/0.90 ( ~ class_Divides_Osemiring__div(T_a) % 0.52/0.90 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) = c_HOL_Otimes__class_Otimes(V_c,c_Divides_Odiv__class_Omod(V_a,V_b,T_a),T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_mod__mult__mult2_0,axiom, % 0.52/0.90 ( ~ class_Divides_Osemiring__div(T_a) % 0.52/0.90 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(V_a,V_b,T_a),V_c,T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_less__minus__self__iff_0,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.52/0.90 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.90 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_less__minus__self__iff_1,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.52/0.90 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) % 0.52/0.90 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_divide__eq__eq_4,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.52/0.90 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.90 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a),V_c,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_monom__eq__iff_0,axiom, % 0.52/0.90 ( ~ class_HOL_Ozero(T_a) % 0.52/0.90 | c_Polynomial_Omonom(V_a,V_n,T_a) != c_Polynomial_Omonom(V_b,V_n,T_a) % 0.52/0.90 | V_a = V_b ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_sgn__pos_0,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.52/0.90 | c_HOL_Osgn__class_Osgn(V_a,T_a) = c_HOL_Oone__class_Oone(T_a) % 0.52/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_sgn__1__pos_0,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.52/0.90 | c_HOL_Osgn__class_Osgn(V_a,T_a) != c_HOL_Oone__class_Oone(T_a) % 0.52/0.90 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_dvd__if__abs__eq_0,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.52/0.90 | c_HOL_Oabs__class_Oabs(V_l,T_a) != c_HOL_Oabs__class_Oabs(V_k,T_a) % 0.52/0.90 | c_Ring__and__Field_Odvd__class_Odvd(V_l,V_k,T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_minus__add_0,axiom, % 0.52/0.90 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.52/0.90 | c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_minus__add__distrib_0,axiom, % 0.52/0.90 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.52/0.90 | c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_order__less__asym_H_0,axiom, % 0.52/0.90 ( ~ class_Orderings_Opreorder(T_a) % 0.52/0.90 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 0.52/0.90 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_order__less__asym_0,axiom, % 0.52/0.90 ( ~ class_Orderings_Opreorder(T_a) % 0.52/0.90 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 0.52/0.90 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_not__less__iff__gr__or__eq_1,axiom, % 0.52/0.90 ( ~ class_Orderings_Olinorder(T_a) % 0.52/0.90 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.52/0.90 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_xt1_I9_J_0,axiom, % 0.52/0.90 ( ~ class_Orderings_Oorder(T_a) % 0.52/0.90 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.52/0.90 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_eq__iff__diff__eq__0_0,axiom, % 0.52/0.90 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.52/0.90 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_right__minus__eq_1,axiom, % 0.52/0.90 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.52/0.90 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_diff__0__right_0,axiom, % 0.52/0.90 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.52/0.90 | c_HOL_Ominus__class_Ominus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_diff__self_0,axiom, % 0.52/0.90 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.52/0.90 | c_HOL_Ominus__class_Ominus(V_a,V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_class__ringb_Osubr0__iff_1,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.52/0.90 | ~ class_Int_Onumber__ring(T_a) % 0.52/0.90 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_class__ringb_Oadd__r0__iff_0,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.52/0.90 | ~ class_Int_Onumber__ring(T_a) % 0.52/0.90 | V_x != c_HOL_Oplus__class_Oplus(V_x,V_a,T_a) % 0.52/0.90 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_pprt__0_0,axiom, % 0.52/0.90 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.52/0.90 | c_OrderedGroup_Olordered__ab__group__add__class_Opprt(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_mod__0_0,axiom, % 0.52/0.90 ( ~ class_Divides_Osemiring__div(T_a) % 0.52/0.90 | c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_double__eq__0__iff_1,axiom, % 0.52/0.90 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.52/0.90 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_abs__eq__0_1,axiom, % 0.52/0.90 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 0.52/0.90 | c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_neg__0__equal__iff__equal_0,axiom, % 0.52/0.90 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.52/0.90 | c_HOL_Ozero__class_Ozero(T_a) != c_HOL_Ouminus__class_Ouminus(V_a,T_a) % 0.52/0.90 | c_HOL_Ozero__class_Ozero(T_a) = V_a ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_scaleR_Ozero__right_0,axiom, % 0.52/0.90 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.52/0.90 | c_RealVector_OscaleR__class_OscaleR(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_scaleR__eq__0__iff_2,axiom, % 0.52/0.90 ( ~ class_RealVector_Oreal__vector(T_a) % 0.52/0.90 | c_RealVector_OscaleR__class_OscaleR(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_eq__iff__diff__eq__0_1,axiom, % 0.52/0.90 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.52/0.90 | c_HOL_Ominus__class_Ominus(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.52/0.90 | V_a = V_b ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_right__minus__eq_0,axiom, % 0.52/0.90 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.52/0.90 | c_HOL_Ominus__class_Ominus(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.52/0.90 | V_a = V_b ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_class__ringb_Osubr0__iff_0,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.52/0.90 | ~ class_Int_Onumber__ring(T_a) % 0.52/0.90 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.52/0.90 | V_x = V_y ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_divide__zero__left_0,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.52/0.90 | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_divide__eq__eq_1,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.52/0.90 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.90 | c_HOL_Oinverse__class_Odivide(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_divide__zero_0,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.52/0.90 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.52/0.90 | c_HOL_Oinverse__class_Odivide(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_divide_Ozero_0,axiom, % 0.52/0.90 ( ~ class_RealVector_Oreal__normed__field(T_a) % 0.52/0.90 | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_sgn__0__0_0,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.52/0.90 | c_HOL_Osgn__class_Osgn(V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.52/0.90 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_sgn__zero__iff_0,axiom, % 0.52/0.90 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.52/0.90 | c_HOL_Osgn__class_Osgn(V_x,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.52/0.90 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_exp__not__eq__zero_0,axiom, % 0.52/0.90 ( ~ class_SEQ_Obanach(T_a) % 0.52/0.90 | ~ class_RealVector_Oreal__normed__field(T_a) % 0.52/0.90 | c_Transcendental_Oexp(V_x,T_a) != c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_monoid__add__class_Oadd__0__right_0,axiom, % 0.52/0.90 ( ~ class_OrderedGroup_Omonoid__add(T_a) % 0.52/0.90 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_add__0__left_0,axiom, % 0.52/0.90 ( ~ class_OrderedGroup_Omonoid__add(T_a) % 0.52/0.90 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = V_a ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_comm__monoid__add_Omult__1__right_0,axiom, % 0.52/0.90 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.52/0.90 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_class__ringb_Oadd__r0__iff_1,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.52/0.90 | ~ class_Int_Onumber__ring(T_a) % 0.52/0.90 | V_x = c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_class__semiring_Oadd__0_0,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.52/0.90 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) = V_x ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_comm__monoid__add_Omult__1_0,axiom, % 0.52/0.90 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.52/0.90 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = V_a ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_class__semiring_Osemiring__rules_I6_J_0,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.52/0.90 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_class__semiring_Osemiring__rules_I5_J_0,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.52/0.90 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = V_a ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_smult__dvd__iff_0,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.52/0.90 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Osmult(c_HOL_Ozero__class_Ozero(T_a),V_p,T_a),V_q,tc_Polynomial_Opoly(T_a)) % 0.52/0.90 | V_q = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_leading__coeff__0__iff_1,axiom, % 0.52/0.90 ( ~ class_HOL_Ozero(T_a) % 0.52/0.90 | c_Polynomial_Ocoeff(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),c_Polynomial_Odegree(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_synthetic__divmod__0_0,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a) % 0.52/0.90 | c_Polynomial_Osynthetic__divmod(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_c,T_a) = c_Pair(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),c_HOL_Ozero__class_Ozero(T_a),tc_Polynomial_Opoly(T_a),T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_leading__coeff__0__iff_0,axiom, % 0.52/0.90 ( ~ class_HOL_Ozero(T_a) % 0.52/0.90 | c_Polynomial_Ocoeff(V_p,c_Polynomial_Odegree(V_p,T_a),T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.52/0.90 | V_p = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_smult__dvd__iff_3,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.52/0.90 | c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Osmult(c_HOL_Ozero__class_Ozero(T_a),V_p,T_a),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),tc_Polynomial_Opoly(T_a)) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_monom__Suc_0,axiom, % 0.52/0.90 ( ~ class_HOL_Ozero(T_a) % 0.52/0.90 | 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) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_pos__poly__pCons_1,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.52/0.90 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.52/0.90 | c_Polynomial_Opos__poly(V_p,T_a) % 0.52/0.90 | ~ c_Polynomial_Opos__poly(c_Polynomial_OpCons(V_a,V_p,T_a),T_a) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_smult__0__right_0,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a) % 0.52/0.90 | 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)) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_smult__eq__0__iff_2,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.52/0.90 | 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)) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_minus__poly__code_I1_J_0,axiom, % 0.52/0.90 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.52/0.90 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),tc_Polynomial_Opoly(T_a)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_synthetic__div__0_0,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a) % 0.52/0.90 | c_Polynomial_Osynthetic__div(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_c,T_a) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_sgn__poly__def_0,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.52/0.90 | c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),tc_Polynomial_Opoly(T_a)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_mult__poly__0__right_0,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a) % 0.52/0.90 | c_HOL_Otimes__class_Otimes(V_p,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),tc_Polynomial_Opoly(T_a)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_mult__poly__0__left_0,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a) % 0.52/0.90 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_q,tc_Polynomial_Opoly(T_a)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ). % 0.52/0.90 % 0.52/0.90 cnf(cls_pdivmod__rel__by__0_0,axiom, % 0.52/0.90 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.52/0.91 | c_Polynomial_Opdivmod__rel(V_x,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_x,T_a) ) ). % 0.52/0.91 % 0.52/0.91 cnf(cls_offset__poly__eq__0__iff_0,axiom, % 0.52/0.91 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a) % 0.52/0.91 | c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(V_p,V_h,T_a) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) % 0.52/0.91 | V_p = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ). % 0.52/0.91 % 0.52/0.91 cnf(cls_pdivmod__rel__0_0,axiom, % 0.52/0.91 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.52/0.91 | c_Polynomial_Opdivmod__rel(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_y,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),T_a) ) ). % 0.52/0.91 % 0.52/0.91 cnf(cls_eq__poly__code_I1_J_0,axiom, % 0.52/0.91 ( ~ class_HOL_Ozero(T_a) % 0.52/0.91 | ~ class_HOL_Oeq(T_a) % 0.52/0.91 | c_HOL_Oeq__class_Oeq(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),tc_Polynomial_Opoly(T_a)) ) ). % 0.52/0.91 % 0.52/0.91 cnf(cls_poly__gcd__zero__iff_1,axiom, % 0.52/0.91 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.52/0.91 | c_Polynomial_Opoly__gcd(V_x,V_y,T_a) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) % 0.52/0.91 | V_y = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ). % 0.52/0.91 % 0.52/0.91 cnf(cls_poly__gcd__zero__iff_0,axiom, % 0.52/0.91 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.52/0.91 | c_Polynomial_Opoly__gcd(V_x,V_y,T_a) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) % 0.52/0.91 | V_x = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ). % 0.52/0.91 % 0.52/0.91 cnf(cls_pdivmod__rel__by__0__iff_0,axiom, % 0.52/0.91 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.52/0.91 | V_q = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) % 0.52/0.91 | ~ c_Polynomial_Opdivmod__rel(V_x,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_q,V_r,T_a) ) ). % 0.52/0.91 % 0.52/0.91 cnf(cls_pdivmod__rel__0__iff_1,axiom, % 0.52/0.91 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.52/0.91 | V_r = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) % 0.52/0.91 | ~ c_Polynomial_Opdivmod__rel(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_y,V_q,V_r,T_a) ) ). % 0.52/0.91 % 0.52/0.91 cnf(cls_pdivmod__rel__0__iff_0,axiom, % 0.52/0.91 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.52/0.91 | V_q = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) % 0.52/0.91 | ~ c_Polynomial_Opdivmod__rel(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_y,V_q,V_r,T_a) ) ). % 0.52/0.91 % 0.52/0.91 cnf(cls_pdivmod__rel__def_1,axiom, % 0.52/0.91 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.52/0.91 | ~ c_Polynomial_Opdivmod__rel(V_x,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_q,V_r,T_a) % 0.52/0.91 | V_q = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ). % 0.52/0.91 % 0.52/0.91 cnf(cls_pdivmod__rel__by__0__iff_1,axiom, % 0.52/0.91 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.52/0.91 | V_r = V_x % 0.52/0.91 | ~ c_Polynomial_Opdivmod__rel(V_x,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_q,V_r,T_a) ) ). % 0.52/0.91 % 0.52/0.91 cnf(cls_poly__gcd__0__0_0,axiom, % 0.52/0.91 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.52/0.91 | c_Polynomial_Opoly__gcd(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),T_a) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ). % 0.52/0.91 % 0.52/0.91 cnf(cls_not__pos__poly__0_0,axiom, % 0.52/0.91 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.52/0.91 | ~ c_Polynomial_Opos__poly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),T_a) ) ). % 0.52/0.91 % 0.52/0.91 cnf(cls_diff__poly__code_I2_J_0,axiom, % 0.52/0.91 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.52/0.91 | c_HOL_Ominus__class_Ominus(V_p,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),tc_Polynomial_Opoly(T_a)) = V_p ) ). % 0.52/0.91 % 0.52/0.91 cnf(cls_offset__poly__0_0,axiom, % 0.52/0.91 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a) % 0.52/0.91 | c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_h,T_a) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ). % 0.52/0.91 % 0.52/0.91 cnf(cls_pcompose__0_0,axiom, % 0.52/0.91 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a) % 0.52/0.91 | 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)) ) ). % 0.52/0.91 % 0.52/0.91 cnf(cls_add__poly__code_I1_J_0,axiom, % 0.52/0.91 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.52/0.91 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_q,tc_Polynomial_Opoly(T_a)) = V_q ) ). % 0.52/0.91 % 0.52/0.91 cnf(cls_add__poly__code_I2_J_0,axiom, % 0.52/0.91 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.52/0.91 | c_HOL_Oplus__class_Oplus(V_p,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),tc_Polynomial_Opoly(T_a)) = V_p ) ). % 0.52/0.91 % 0.52/0.91 cnf(cls_pdivmod__pCons_0,axiom, % 0.52/0.91 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.52/0.91 | c_Polynomial_Opdivmod(c_Polynomial_OpCons(V_a,V_x,T_a),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),T_a) = c_Pair(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),c_Polynomial_OpCons(V_a,V_x,T_a),tc_Polynomial_Opoly(T_a),tc_Polynomial_Opoly(T_a)) ) ). % 0.52/0.91 % 0.52/0.91 cnf(cls_degree__pCons__0_0,axiom, % 0.52/0.91 ( ~ class_HOL_Ozero(T_a) % 0.52/0.91 | 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) ) ). % 0.52/0.91 % 0.52/0.91 cnf(cls_monom__0_0,axiom, % 0.52/0.91 ( ~ class_HOL_Ozero(T_a) % 0.52/0.91 | 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) ) ). % 0.52/0.91 % 0.52/0.91 cnf(cls_one__poly__def_0,axiom, % 0.52/0.91 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.52/0.91 | c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(T_a)) = c_Polynomial_OpCons(c_HOL_Oone__class_Oone(T_a),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),T_a) ) ). % 0.52/0.91 % 0.52/0.91 cnf(cls_offset__poly__eq__0__lemma_0,axiom, % 0.52/0.91 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a) % 0.52/0.91 | c_HOL_Oplus__class_Oplus(c_Polynomial_Osmult(V_c,V_p,T_a),c_Polynomial_OpCons(V_a,V_p,T_a),tc_Polynomial_Opoly(T_a)) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) % 0.52/0.91 | V_p = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ). % 0.52/0.91 % 0.52/0.91 cnf(cls_degree__pCons__eq_0,axiom, % 0.52/0.91 ( ~ class_HOL_Ozero(T_a) % 0.52/0.91 | c_Polynomial_Odegree(c_Polynomial_OpCons(V_a,V_p,T_a),T_a) = c_Suc(c_Polynomial_Odegree(V_p,T_a)) % 0.52/0.91 | V_p = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ). % 0.52/0.91 % 0.52/0.91 cnf(cls_eq__poly__code_I4_J_1,axiom, % 0.52/0.91 ( ~ class_HOL_Ozero(T_a) % 0.52/0.91 | ~ class_HOL_Oeq(T_a) % 0.52/0.91 | c_HOL_Oeq__class_Oeq(V_p,V_q,tc_Polynomial_Opoly(T_a)) % 0.52/0.91 | ~ c_HOL_Oeq__class_Oeq(c_Polynomial_OpCons(V_a,V_p,T_a),c_Polynomial_OpCons(V_b,V_q,T_a),tc_Polynomial_Opoly(T_a)) ) ). % 0.52/0.91 % 0.52/0.91 cnf(cls_pos__poly__pCons_2,axiom, % 0.52/0.91 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.52/0.91 | c_Polynomial_Opos__poly(c_Polynomial_OpCons(V_a,V_p,T_a),T_a) % 0.52/0.91 | ~ c_Polynomial_Opos__poly(V_p,T_a) ) ). % 0.52/0.91 % 0.52/0.91 cnf(cls_pCons_Ohyps_0,axiom, % 0.52/0.91 ( v_sko__local__XpCons__Xhyps__1(v_ds____) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) % 0.52/0.91 | v_ds____ = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ). % 0.52/0.91 % 0.52/0.91 cnf(cls_pCons_I1_J_0,axiom, % 0.52/0.91 ( v_sko__local__XpCons__1__1(v_ds____) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) % 0.52/0.91 | v_ds____ = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ). % 0.52/0.91 % 0.52/0.91 cnf(cls_d0_0,axiom, % 0.52/0.91 v_d____ != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ). % 0.52/0.91 % 0.52/0.91 cnf(cls_eq__poly__code_I3_J_2,axiom, % 0.52/0.91 ( ~ class_HOL_Ozero(T_a) % 0.52/0.91 | ~ class_HOL_Oeq(T_a) % 0.52/0.91 | c_HOL_Oeq__class_Oeq(c_Polynomial_OpCons(V_a,V_p,T_a),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),tc_Polynomial_Opoly(T_a)) % 0.52/0.91 | ~ c_HOL_Oeq__class_Oeq(V_p,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),tc_Polynomial_Opoly(T_a)) % 0.52/0.91 | ~ c_HOL_Oeq__class_Oeq(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.52/0.91 % 0.52/0.91 cnf(cls_eq__poly__code_I3_J_0,axiom, % 0.52/0.91 ( ~ class_HOL_Ozero(T_a) % 0.52/0.91 | ~ class_HOL_Oeq(T_a) % 0.52/0.91 | c_HOL_Oeq__class_Oeq(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.52/0.91 | ~ c_HOL_Oeq__class_Oeq(c_Polynomial_OpCons(V_a,V_p,T_a),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),tc_Polynomial_Opoly(T_a)) ) ). % 0.52/0.91 % 0.52/0.91 cnf(cls_eq__poly__code_I2_J_2,axiom, % 0.52/0.91 ( ~ class_HOL_Ozero(T_a) % 0.52/0.91 | ~ class_HOL_Oeq(T_a) % 0.52/0.91 | c_HOL_Oeq__class_Oeq(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),c_Polynomial_OpCons(V_b,V_q,T_a),tc_Polynomial_Opoly(T_a)) % 0.52/0.91 | ~ c_HOL_Oeq__class_Oeq(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_q,tc_Polynomial_Opoly(T_a)) % 0.52/0.91 | ~ c_HOL_Oeq__class_Oeq(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) ) ). % 0.52/0.91 % 0.52/0.91 cnf(cls_eq__poly__code_I2_J_0,axiom, % 0.52/0.91 ( ~ class_HOL_Ozero(T_a) % 0.52/0.91 | ~ class_HOL_Oeq(T_a) % 0.52/0.91 | c_HOL_Oeq__class_Oeq(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.52/0.91 | ~ c_HOL_Oeq__class_Oeq(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),c_Polynomial_OpCons(V_b,V_q,T_a),tc_Polynomial_Opoly(T_a)) ) ). % 0.52/0.91 % 0.52/0.91 cnf(cls_pos__poly__pCons_3,axiom, % 0.52/0.91 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.52/0.91 | c_Polynomial_Opos__poly(c_Polynomial_OpCons(V_a,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),T_a),T_a) % 0.52/0.91 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.52/0.91 % 0.52/0.91 cnf(cls_assms_0,axiom, % 0.52/0.91 ( v_p != c_Polynomial_OpCons(V_x,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex) % 0.52/0.91 | V_x = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ). % 0.52/0.91 % 0.52/0.91 cnf(cls_smult__0__left_0,axiom, % 0.52/0.91 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a) % 0.52/0.91 | c_Polynomial_Osmult(c_HOL_Ozero__class_Ozero(T_a),V_p,T_a) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ). % 0.52/0.91 % 0.52/0.91 cnf(cls_smult__eq__0__iff_1,axiom, % 0.52/0.91 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.52/0.91 | c_Polynomial_Osmult(c_HOL_Ozero__class_Ozero(T_a),V_p,T_a) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ). % 0.52/0.91 % 0.52/0.91 cnf(cls_smult__eq__0__iff_0,axiom, % 0.52/0.91 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.52/0.91 | c_Polynomial_Osmult(V_a,V_p,T_a) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) % 0.52/0.91 | V_p = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) % 0.52/0.91 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.52/0.91 % 0.52/0.91 cnf(cls_poly__0_0,axiom, % 0.52/0.91 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a) % 0.52/0.91 | c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.52/0.91 % 0.52/0.91 cnf(cls_order__root_1,axiom, % 0.52/0.91 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.52/0.91 | c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.52/0.91 % 0.52/0.91 cnf(cls_monom__eq__0__iff_0,axiom, % 0.52/0.91 ( ~ class_HOL_Ozero(T_a) % 0.52/0.91 | c_Polynomial_Omonom(V_a,V_n,T_a) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) % 0.52/0.91 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.52/0.91 % 0.52/0.91 cnf(cls_monom__eq__0_0,axiom, % 0.52/0.91 ( ~ class_HOL_Ozero(T_a) % 0.52/0.91 | c_Polynomial_Omonom(c_HOL_Ozero__class_Ozero(T_a),V_n,T_a) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ). % 0.52/0.91 % 0.52/0.91 cnf(cls_coeff__0_0,axiom, % 0.52/0.91 ( ~ class_HOL_Ozero(T_a) % 0.52/0.91 | c_Polynomial_Ocoeff(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_n,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.52/0.91 % 0.52/0.91 cnf(cls_eq__poly__code_I3_J_1,axiom, % 0.52/0.91 ( ~ class_HOL_Ozero(T_a) % 0.52/0.91 | ~ class_HOL_Oeq(T_a) % 0.52/0.91 | c_HOL_Oeq__class_Oeq(V_p,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),tc_Polynomial_Opoly(T_a)) % 0.52/0.91 | ~ c_HOL_Oeq__class_Oeq(c_Polynomial_OpCons(V_a,V_p,T_a),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),tc_Polynomial_Opoly(T_a)) ) ). % 0.52/0.91 % 0.52/0.91 cnf(cls_pos__poly__pCons_0,axiom, % 0.52/0.91 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.52/0.91 | V_p = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) % 0.52/0.91 | c_Polynomial_Opos__poly(V_p,T_a) % 0.52/0.91 | ~ c_Polynomial_Opos__poly(c_Polynomial_OpCons(V_a,V_p,T_a),T_a) ) ). % 0.52/0.91 % 0.52/0.91 cnf(cls_offset__poly__single_0,axiom, % 0.52/0.91 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a) % 0.52/0.91 | 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) ) ). % 0.52/0.91 % 0.52/0.91 cnf(cls_synthetic__div__unique__lemma_0,axiom, % 0.52/0.91 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a) % 0.52/0.91 | c_Polynomial_Osmult(V_c,V_p,T_a) != c_Polynomial_OpCons(V_a,V_p,T_a) % 0.52/0.91 | V_p = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ). % 0.52/0.91 % 0.52/0.91 cnf(cls_eq__poly__code_I2_J_1,axiom, % 0.52/0.91 ( ~ class_HOL_Ozero(T_a) % 0.52/0.91 | ~ class_HOL_Oeq(T_a) % 0.52/0.91 | c_HOL_Oeq__class_Oeq(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_q,tc_Polynomial_Opoly(T_a)) % 0.52/0.91 | ~ c_HOL_Oeq__class_Oeq(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),c_Polynomial_OpCons(V_b,V_q,T_a),tc_Polynomial_Opoly(T_a)) ) ). % 0.52/0.91 % 0.52/0.91 cnf(cls_pCons_Oprems_0,axiom, % 0.52/0.91 ( c_Polynomial_Opoly(c_Polynomial_OpCons(v_d____,v_ds____,tc_Complex_Ocomplex),V_w,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) % 0.52/0.91 | V_w = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ). % 0.52/0.91 % 0.52/0.91 cnf(cls_calculation_0,axiom, % 0.52/0.91 ( v_d____ != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) % 0.52/0.91 | c_Polynomial_OpCons(v_d____,v_ds____,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ). % 0.52/0.91 % 0.52/0.91 cnf(cls_pCons__eq__0__iff_0,axiom, % 0.52/0.91 ( ~ class_HOL_Ozero(T_a) % 0.52/0.91 | c_Polynomial_OpCons(V_a,V_p,T_a) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) % 0.52/0.91 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.52/0.91 % 0.52/0.91 cnf(cls_pCons__eq__0__iff_1,axiom, % 0.52/0.91 ( ~ class_HOL_Ozero(T_a) % 0.52/0.91 | c_Polynomial_OpCons(V_a,V_p,T_a) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) % 0.52/0.91 | V_p = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ). % 0.52/0.91 % 0.52/0.91 cnf(cls_pCons__0__0_0,axiom, % 0.52/0.91 ( ~ class_HOL_Ozero(T_a) % 0.52/0.91 | c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),T_a) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ). % 0.52/0.91 % 0.52/0.91 cnf(cls_pCons__eq__iff_0,axiom, % 0.52/0.91 ( ~ class_HOL_Ozero(T_a) % 0.52/0.91 | c_Polynomial_OpCons(V_a,V_p,T_a) != c_Polynomial_OpCons(V_b,V_q,T_a) % 0.52/0.91 | V_a = V_b ) ). % 0.52/0.91 % 0.52/0.91 cnf(cls_pCons__eq__iff_1,axiom, % 0.52/0.91 ( ~ class_HOL_Ozero(T_a) % 0.52/0.91 | c_Polynomial_OpCons(V_a,V_p,T_a) != c_Polynomial_OpCons(V_b,V_q,T_a) % 0.52/0.91 | V_p = V_q ) ). % 0.52/0.91 % 0.52/0.91 cnf(cls_CHAINED_0,axiom, % 0.52/0.91 c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(v_x____,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_ds____,c_RealVector_Oof__real(v_x____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_RealVector_Onorm__class_Onorm(v_d____,tc_Complex_Ocomplex) ). % 0.52/0.91 % 0.52/0.91 cnf(cls_CHAINED_0_01,axiom, % 0.52/0.91 c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(v_x____,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_ds____,c_RealVector_Oof__real(v_x____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_RealVector_Onorm__class_Onorm(v_d____,tc_Complex_Ocomplex) ). % 0.52/0.91 % 0.52/0.91 cnf(cls_conjecture_0,negated_conjecture, % 0.52/0.91 c_Polynomial_OpCons(v_d____,v_ds____,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Ocancel__comm__monoid__add,axiom, % 0.52/0.91 ( class_OrderedGroup_Ocancel__comm__monoid__add(tc_Polynomial_Opoly(T_1)) % 0.52/0.91 | ~ class_OrderedGroup_Ocancel__comm__monoid__add(T_1) ) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ocancel__comm__monoid__add,axiom, % 0.52/0.91 class_OrderedGroup_Ocancel__comm__monoid__add(tc_Complex_Ocomplex) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_RealDef__Oreal__OrderedGroup_Ocancel__comm__monoid__add,axiom, % 0.52/0.91 class_OrderedGroup_Ocancel__comm__monoid__add(tc_RealDef_Oreal) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_nat__OrderedGroup_Ocancel__comm__monoid__add,axiom, % 0.52/0.91 class_OrderedGroup_Ocancel__comm__monoid__add(tc_nat) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_prod__HOL_Oeq,axiom, % 0.52/0.91 class_HOL_Oeq(tc_prod(T_2,T_1)) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_nat__OrderedGroup_Opordered__cancel__ab__semigroup__add,axiom, % 0.52/0.91 class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add__imp__le,axiom, % 0.52/0.91 class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_nat__Ring__and__Field_Oordered__comm__semiring__strict,axiom, % 0.52/0.91 class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_nat__Ring__and__Field_Oordered__semiring__strict,axiom, % 0.52/0.91 class_Ring__and__Field_Oordered__semiring__strict(tc_nat) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_nat__OrderedGroup_Opordered__comm__monoid__add,axiom, % 0.52/0.91 class_OrderedGroup_Opordered__comm__monoid__add(tc_nat) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_nat__OrderedGroup_Ocancel__ab__semigroup__add,axiom, % 0.52/0.91 class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_nat__OrderedGroup_Ocancel__semigroup__add,axiom, % 0.52/0.91 class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_nat__Ring__and__Field_Ono__zero__divisors,axiom, % 0.52/0.91 class_Ring__and__Field_Ono__zero__divisors(tc_nat) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_nat__Ring__and__Field_Oordered__semidom,axiom, % 0.52/0.91 class_Ring__and__Field_Oordered__semidom(tc_nat) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_nat__Ring__and__Field_Ocomm__semiring__1,axiom, % 0.52/0.91 class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_nat__Ring__and__Field_Ocomm__semiring__0,axiom, % 0.52/0.91 class_Ring__and__Field_Ocomm__semiring__0(tc_nat) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_nat__OrderedGroup_Oab__semigroup__mult,axiom, % 0.52/0.91 class_OrderedGroup_Oab__semigroup__mult(tc_nat) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_nat__OrderedGroup_Ocomm__monoid__mult,axiom, % 0.52/0.91 class_OrderedGroup_Ocomm__monoid__mult(tc_nat) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_nat__OrderedGroup_Oab__semigroup__add,axiom, % 0.52/0.91 class_OrderedGroup_Oab__semigroup__add(tc_nat) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_nat__Ring__and__Field_Ocomm__semiring,axiom, % 0.52/0.91 class_Ring__and__Field_Ocomm__semiring(tc_nat) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_nat__OrderedGroup_Ocomm__monoid__add,axiom, % 0.52/0.91 class_OrderedGroup_Ocomm__monoid__add(tc_nat) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_nat__Ring__and__Field_Ozero__neq__one,axiom, % 0.52/0.91 class_Ring__and__Field_Ozero__neq__one(tc_nat) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_nat__Ring__and__Field_Omult__zero,axiom, % 0.52/0.91 class_Ring__and__Field_Omult__zero(tc_nat) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_nat__OrderedGroup_Omonoid__mult,axiom, % 0.52/0.91 class_OrderedGroup_Omonoid__mult(tc_nat) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_nat__Ring__and__Field_Osemiring,axiom, % 0.52/0.91 class_Ring__and__Field_Osemiring(tc_nat) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_nat__OrderedGroup_Omonoid__add,axiom, % 0.52/0.91 class_OrderedGroup_Omonoid__add(tc_nat) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_nat__Divides_Osemiring__div,axiom, % 0.52/0.91 class_Divides_Osemiring__div(tc_nat) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_nat__Ring__and__Field_Odvd,axiom, % 0.52/0.91 class_Ring__and__Field_Odvd(tc_nat) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_nat__Orderings_Opreorder,axiom, % 0.52/0.91 class_Orderings_Opreorder(tc_nat) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_nat__Orderings_Olinorder,axiom, % 0.52/0.91 class_Orderings_Olinorder(tc_nat) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_nat__Orderings_Oorder,axiom, % 0.52/0.91 class_Orderings_Oorder(tc_nat) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_nat__HOL_Ozero,axiom, % 0.52/0.91 class_HOL_Ozero(tc_nat) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_nat__HOL_Oeq,axiom, % 0.52/0.91 class_HOL_Oeq(tc_nat) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__cancel__ab__semigroup__add,axiom, % 0.52/0.91 class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_RealDef_Oreal) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__semigroup__add__imp__le,axiom, % 0.52/0.91 class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__comm__semiring__strict,axiom, % 0.52/0.91 class_Ring__and__Field_Oordered__comm__semiring__strict(tc_RealDef_Oreal) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__semiring__strict,axiom, % 0.52/0.91 class_Ring__and__Field_Oordered__semiring__strict(tc_RealDef_Oreal) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__group__add__abs,axiom, % 0.52/0.91 class_OrderedGroup_Opordered__ab__group__add__abs(tc_RealDef_Oreal) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_RealDef__Oreal__OrderedGroup_Olordered__ab__group__add__abs,axiom, % 0.52/0.91 class_OrderedGroup_Olordered__ab__group__add__abs(tc_RealDef_Oreal) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__comm__monoid__add,axiom, % 0.52/0.91 class_OrderedGroup_Opordered__comm__monoid__add(tc_RealDef_Oreal) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oring__no__zero__divisors,axiom, % 0.52/0.91 class_Ring__and__Field_Oring__no__zero__divisors(tc_RealDef_Oreal) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_RealDef__Oreal__OrderedGroup_Ocancel__ab__semigroup__add,axiom, % 0.52/0.91 class_OrderedGroup_Ocancel__ab__semigroup__add(tc_RealDef_Oreal) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__ring__strict,axiom, % 0.52/0.91 class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_RealDef__Oreal__RealVector_Oreal__normed__div__algebra,axiom, % 0.52/0.91 class_RealVector_Oreal__normed__div__algebra(tc_RealDef_Oreal) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__group__add,axiom, % 0.52/0.91 class_OrderedGroup_Opordered__ab__group__add(tc_RealDef_Oreal) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_RealDef__Oreal__OrderedGroup_Olordered__ab__group__add,axiom, % 0.52/0.91 class_OrderedGroup_Olordered__ab__group__add(tc_RealDef_Oreal) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_RealDef__Oreal__OrderedGroup_Oordered__ab__group__add,axiom, % 0.52/0.91 class_OrderedGroup_Oordered__ab__group__add(tc_RealDef_Oreal) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_RealDef__Oreal__OrderedGroup_Ocancel__semigroup__add,axiom, % 0.52/0.91 class_OrderedGroup_Ocancel__semigroup__add(tc_RealDef_Oreal) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_RealDef__Oreal__RealVector_Oreal__normed__algebra__1,axiom, % 0.52/0.91 class_RealVector_Oreal__normed__algebra__1(tc_RealDef_Oreal) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ono__zero__divisors,axiom, % 0.52/0.91 class_Ring__and__Field_Ono__zero__divisors(tc_RealDef_Oreal) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Odivision__by__zero,axiom, % 0.52/0.91 class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__semidom,axiom, % 0.52/0.91 class_Ring__and__Field_Oordered__semidom(tc_RealDef_Oreal) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring__1,axiom, % 0.52/0.91 class_Ring__and__Field_Ocomm__semiring__1(tc_RealDef_Oreal) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring__0,axiom, % 0.52/0.91 class_Ring__and__Field_Ocomm__semiring__0(tc_RealDef_Oreal) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_RealDef__Oreal__RealVector_Oreal__normed__algebra,axiom, % 0.52/0.91 class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_RealDef__Oreal__OrderedGroup_Oab__semigroup__mult,axiom, % 0.52/0.91 class_OrderedGroup_Oab__semigroup__mult(tc_RealDef_Oreal) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_RealDef__Oreal__RealVector_Oreal__normed__vector,axiom, % 0.52/0.91 class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_RealDef__Oreal__OrderedGroup_Ocomm__monoid__mult,axiom, % 0.52/0.91 class_OrderedGroup_Ocomm__monoid__mult(tc_RealDef_Oreal) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_RealDef__Oreal__OrderedGroup_Oab__semigroup__add,axiom, % 0.52/0.91 class_OrderedGroup_Oab__semigroup__add(tc_RealDef_Oreal) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Opordered__ring,axiom, % 0.52/0.91 class_Ring__and__Field_Opordered__ring(tc_RealDef_Oreal) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__field,axiom, % 0.52/0.91 class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring,axiom, % 0.52/0.91 class_Ring__and__Field_Ocomm__semiring(tc_RealDef_Oreal) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_RealDef__Oreal__RealVector_Oreal__normed__field,axiom, % 0.52/0.91 class_RealVector_Oreal__normed__field(tc_RealDef_Oreal) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_RealDef__Oreal__OrderedGroup_Ocomm__monoid__add,axiom, % 0.52/0.91 class_OrderedGroup_Ocomm__monoid__add(tc_RealDef_Oreal) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ozero__neq__one,axiom, % 0.52/0.91 class_Ring__and__Field_Ozero__neq__one(tc_RealDef_Oreal) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__idom,axiom, % 0.52/0.91 class_Ring__and__Field_Oordered__idom(tc_RealDef_Oreal) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__ring__1,axiom, % 0.52/0.91 class_Ring__and__Field_Ocomm__ring__1(tc_RealDef_Oreal) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_RealDef__Oreal__OrderedGroup_Oab__group__add,axiom, % 0.52/0.91 class_OrderedGroup_Oab__group__add(tc_RealDef_Oreal) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Omult__zero,axiom, % 0.52/0.91 class_Ring__and__Field_Omult__zero(tc_RealDef_Oreal) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__ring,axiom, % 0.52/0.91 class_Ring__and__Field_Ocomm__ring(tc_RealDef_Oreal) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_RealDef__Oreal__OrderedGroup_Omonoid__mult,axiom, % 0.52/0.91 class_OrderedGroup_Omonoid__mult(tc_RealDef_Oreal) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Osemiring,axiom, % 0.52/0.91 class_Ring__and__Field_Osemiring(tc_RealDef_Oreal) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_RealDef__Oreal__RealVector_Oreal__algebra,axiom, % 0.52/0.91 class_RealVector_Oreal__algebra(tc_RealDef_Oreal) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_RealDef__Oreal__OrderedGroup_Omonoid__add,axiom, % 0.52/0.91 class_OrderedGroup_Omonoid__add(tc_RealDef_Oreal) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_RealDef__Oreal__RealVector_Oreal__vector,axiom, % 0.52/0.91 class_RealVector_Oreal__vector(tc_RealDef_Oreal) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_RealDef__Oreal__OrderedGroup_Ogroup__add,axiom, % 0.52/0.91 class_OrderedGroup_Ogroup__add(tc_RealDef_Oreal) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Osgn__if,axiom, % 0.52/0.91 class_Ring__and__Field_Osgn__if(tc_RealDef_Oreal) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oabs__if,axiom, % 0.52/0.91 class_Ring__and__Field_Oabs__if(tc_RealDef_Oreal) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_RealDef__Oreal__RealVector_Oreal__field,axiom, % 0.52/0.91 class_RealVector_Oreal__field(tc_RealDef_Oreal) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ofield,axiom, % 0.52/0.91 class_Ring__and__Field_Ofield(tc_RealDef_Oreal) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oring,axiom, % 0.52/0.91 class_Ring__and__Field_Oring(tc_RealDef_Oreal) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oidom,axiom, % 0.52/0.91 class_Ring__and__Field_Oidom(tc_RealDef_Oreal) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Odvd,axiom, % 0.52/0.91 class_Ring__and__Field_Odvd(tc_RealDef_Oreal) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_RealDef__Oreal__Orderings_Opreorder,axiom, % 0.52/0.91 class_Orderings_Opreorder(tc_RealDef_Oreal) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_RealDef__Oreal__Orderings_Olinorder,axiom, % 0.52/0.91 class_Orderings_Olinorder(tc_RealDef_Oreal) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_RealDef__Oreal__Orderings_Oorder,axiom, % 0.52/0.91 class_Orderings_Oorder(tc_RealDef_Oreal) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_RealDef__Oreal__Int_Onumber__ring,axiom, % 0.52/0.91 class_Int_Onumber__ring(tc_RealDef_Oreal) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_RealDef__Oreal__SEQ_Obanach,axiom, % 0.52/0.91 class_SEQ_Obanach(tc_RealDef_Oreal) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_RealDef__Oreal__HOL_Ozero,axiom, % 0.52/0.91 class_HOL_Ozero(tc_RealDef_Oreal) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_RealDef__Oreal__HOL_Oeq,axiom, % 0.52/0.91 class_HOL_Oeq(tc_RealDef_Oreal) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Oring__no__zero__divisors,axiom, % 0.52/0.91 class_Ring__and__Field_Oring__no__zero__divisors(tc_Complex_Ocomplex) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ocancel__ab__semigroup__add,axiom, % 0.52/0.91 class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Complex_Ocomplex) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__div__algebra,axiom, % 0.52/0.91 class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ocancel__semigroup__add,axiom, % 0.52/0.91 class_OrderedGroup_Ocancel__semigroup__add(tc_Complex_Ocomplex) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__algebra__1,axiom, % 0.52/0.91 class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ono__zero__divisors,axiom, % 0.52/0.91 class_Ring__and__Field_Ono__zero__divisors(tc_Complex_Ocomplex) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Odivision__by__zero,axiom, % 0.52/0.91 class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__1,axiom, % 0.52/0.91 class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__0,axiom, % 0.52/0.91 class_Ring__and__Field_Ocomm__semiring__0(tc_Complex_Ocomplex) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__algebra,axiom, % 0.52/0.91 class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Oab__semigroup__mult,axiom, % 0.52/0.91 class_OrderedGroup_Oab__semigroup__mult(tc_Complex_Ocomplex) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__vector,axiom, % 0.52/0.91 class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ocomm__monoid__mult,axiom, % 0.52/0.91 class_OrderedGroup_Ocomm__monoid__mult(tc_Complex_Ocomplex) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Oab__semigroup__add,axiom, % 0.52/0.91 class_OrderedGroup_Oab__semigroup__add(tc_Complex_Ocomplex) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring,axiom, % 0.52/0.91 class_Ring__and__Field_Ocomm__semiring(tc_Complex_Ocomplex) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__field,axiom, % 0.52/0.91 class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ocomm__monoid__add,axiom, % 0.52/0.91 class_OrderedGroup_Ocomm__monoid__add(tc_Complex_Ocomplex) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ozero__neq__one,axiom, % 0.52/0.91 class_Ring__and__Field_Ozero__neq__one(tc_Complex_Ocomplex) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__ring__1,axiom, % 0.52/0.91 class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Oab__group__add,axiom, % 0.52/0.91 class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Omult__zero,axiom, % 0.52/0.91 class_Ring__and__Field_Omult__zero(tc_Complex_Ocomplex) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__ring,axiom, % 0.52/0.91 class_Ring__and__Field_Ocomm__ring(tc_Complex_Ocomplex) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__mult,axiom, % 0.52/0.91 class_OrderedGroup_Omonoid__mult(tc_Complex_Ocomplex) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Osemiring,axiom, % 0.52/0.91 class_Ring__and__Field_Osemiring(tc_Complex_Ocomplex) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__algebra,axiom, % 0.52/0.91 class_RealVector_Oreal__algebra(tc_Complex_Ocomplex) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__add,axiom, % 0.52/0.91 class_OrderedGroup_Omonoid__add(tc_Complex_Ocomplex) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__vector,axiom, % 0.52/0.91 class_RealVector_Oreal__vector(tc_Complex_Ocomplex) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ogroup__add,axiom, % 0.52/0.91 class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__field,axiom, % 0.52/0.91 class_RealVector_Oreal__field(tc_Complex_Ocomplex) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ofield,axiom, % 0.52/0.91 class_Ring__and__Field_Ofield(tc_Complex_Ocomplex) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Oring,axiom, % 0.52/0.91 class_Ring__and__Field_Oring(tc_Complex_Ocomplex) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Oidom,axiom, % 0.52/0.91 class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Odvd,axiom, % 0.52/0.91 class_Ring__and__Field_Odvd(tc_Complex_Ocomplex) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_Complex__Ocomplex__Int_Onumber__ring,axiom, % 0.52/0.91 class_Int_Onumber__ring(tc_Complex_Ocomplex) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_Complex__Ocomplex__SEQ_Obanach,axiom, % 0.52/0.91 class_SEQ_Obanach(tc_Complex_Ocomplex) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_Complex__Ocomplex__HOL_Ozero,axiom, % 0.52/0.91 class_HOL_Ozero(tc_Complex_Ocomplex) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_Complex__Ocomplex__HOL_Oeq,axiom, % 0.52/0.91 class_HOL_Oeq(tc_Complex_Ocomplex) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Opordered__cancel__ab__semigroup__add,axiom, % 0.52/0.91 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_Polynomial_Opoly(T_1)) % 0.52/0.91 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Opordered__ab__semigroup__add__imp__le,axiom, % 0.52/0.91 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_Polynomial_Opoly(T_1)) % 0.52/0.91 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oordered__comm__semiring__strict,axiom, % 0.52/0.91 ( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_Polynomial_Opoly(T_1)) % 0.52/0.91 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oordered__semiring__strict,axiom, % 0.52/0.91 ( class_Ring__and__Field_Oordered__semiring__strict(tc_Polynomial_Opoly(T_1)) % 0.52/0.91 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Opordered__ab__group__add__abs,axiom, % 0.52/0.91 ( class_OrderedGroup_Opordered__ab__group__add__abs(tc_Polynomial_Opoly(T_1)) % 0.52/0.91 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Opordered__comm__monoid__add,axiom, % 0.52/0.91 ( class_OrderedGroup_Opordered__comm__monoid__add(tc_Polynomial_Opoly(T_1)) % 0.52/0.91 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oring__no__zero__divisors,axiom, % 0.52/0.91 ( class_Ring__and__Field_Oring__no__zero__divisors(tc_Polynomial_Opoly(T_1)) % 0.52/0.91 | ~ class_Ring__and__Field_Oidom(T_1) ) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Ocancel__ab__semigroup__add,axiom, % 0.52/0.91 ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Polynomial_Opoly(T_1)) % 0.52/0.91 | ~ class_OrderedGroup_Ocancel__comm__monoid__add(T_1) ) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oordered__ring__strict,axiom, % 0.52/0.91 ( class_Ring__and__Field_Oordered__ring__strict(tc_Polynomial_Opoly(T_1)) % 0.52/0.91 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Opordered__ab__group__add,axiom, % 0.52/0.91 ( class_OrderedGroup_Opordered__ab__group__add(tc_Polynomial_Opoly(T_1)) % 0.52/0.91 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Oordered__ab__group__add,axiom, % 0.52/0.91 ( class_OrderedGroup_Oordered__ab__group__add(tc_Polynomial_Opoly(T_1)) % 0.52/0.91 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Ocancel__semigroup__add,axiom, % 0.52/0.91 ( class_OrderedGroup_Ocancel__semigroup__add(tc_Polynomial_Opoly(T_1)) % 0.52/0.91 | ~ class_OrderedGroup_Ocancel__comm__monoid__add(T_1) ) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Ono__zero__divisors,axiom, % 0.52/0.91 ( class_Ring__and__Field_Ono__zero__divisors(tc_Polynomial_Opoly(T_1)) % 0.52/0.91 | ~ class_Ring__and__Field_Oidom(T_1) ) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oordered__semidom,axiom, % 0.52/0.91 ( class_Ring__and__Field_Oordered__semidom(tc_Polynomial_Opoly(T_1)) % 0.52/0.91 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Ocomm__semiring__1,axiom, % 0.52/0.91 ( class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(T_1)) % 0.52/0.91 | ~ class_Ring__and__Field_Ocomm__semiring__1(T_1) ) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Ocomm__semiring__0,axiom, % 0.52/0.91 ( class_Ring__and__Field_Ocomm__semiring__0(tc_Polynomial_Opoly(T_1)) % 0.52/0.91 | ~ class_Ring__and__Field_Ocomm__semiring__0(T_1) ) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Oab__semigroup__mult,axiom, % 0.52/0.91 ( class_OrderedGroup_Oab__semigroup__mult(tc_Polynomial_Opoly(T_1)) % 0.52/0.91 | ~ class_Ring__and__Field_Ocomm__semiring__0(T_1) ) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Ocomm__monoid__mult,axiom, % 0.52/0.91 ( class_OrderedGroup_Ocomm__monoid__mult(tc_Polynomial_Opoly(T_1)) % 0.52/0.91 | ~ class_Ring__and__Field_Ocomm__semiring__1(T_1) ) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Oab__semigroup__add,axiom, % 0.52/0.91 ( class_OrderedGroup_Oab__semigroup__add(tc_Polynomial_Opoly(T_1)) % 0.52/0.91 | ~ class_OrderedGroup_Ocomm__monoid__add(T_1) ) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Opordered__ring,axiom, % 0.52/0.91 ( class_Ring__and__Field_Opordered__ring(tc_Polynomial_Opoly(T_1)) % 0.52/0.91 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Ocomm__semiring,axiom, % 0.52/0.91 ( class_Ring__and__Field_Ocomm__semiring(tc_Polynomial_Opoly(T_1)) % 0.52/0.91 | ~ class_Ring__and__Field_Ocomm__semiring__0(T_1) ) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Ocomm__monoid__add,axiom, % 0.52/0.91 ( class_OrderedGroup_Ocomm__monoid__add(tc_Polynomial_Opoly(T_1)) % 0.52/0.91 | ~ class_OrderedGroup_Ocomm__monoid__add(T_1) ) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Ozero__neq__one,axiom, % 0.52/0.91 ( class_Ring__and__Field_Ozero__neq__one(tc_Polynomial_Opoly(T_1)) % 0.52/0.91 | ~ class_Ring__and__Field_Ocomm__semiring__1(T_1) ) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oordered__idom,axiom, % 0.52/0.91 ( class_Ring__and__Field_Oordered__idom(tc_Polynomial_Opoly(T_1)) % 0.52/0.91 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Ocomm__ring__1,axiom, % 0.52/0.91 ( class_Ring__and__Field_Ocomm__ring__1(tc_Polynomial_Opoly(T_1)) % 0.52/0.91 | ~ class_Ring__and__Field_Ocomm__ring__1(T_1) ) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Oab__group__add,axiom, % 0.52/0.91 ( class_OrderedGroup_Oab__group__add(tc_Polynomial_Opoly(T_1)) % 0.52/0.91 | ~ class_OrderedGroup_Oab__group__add(T_1) ) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Omult__zero,axiom, % 0.52/0.91 ( class_Ring__and__Field_Omult__zero(tc_Polynomial_Opoly(T_1)) % 0.52/0.91 | ~ class_Ring__and__Field_Ocomm__semiring__0(T_1) ) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Ocomm__ring,axiom, % 0.52/0.91 ( class_Ring__and__Field_Ocomm__ring(tc_Polynomial_Opoly(T_1)) % 0.52/0.91 | ~ class_Ring__and__Field_Ocomm__ring(T_1) ) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Omonoid__mult,axiom, % 0.52/0.91 ( class_OrderedGroup_Omonoid__mult(tc_Polynomial_Opoly(T_1)) % 0.52/0.91 | ~ class_Ring__and__Field_Ocomm__semiring__1(T_1) ) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Osemiring,axiom, % 0.52/0.91 ( class_Ring__and__Field_Osemiring(tc_Polynomial_Opoly(T_1)) % 0.52/0.91 | ~ class_Ring__and__Field_Ocomm__semiring__0(T_1) ) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Omonoid__add,axiom, % 0.52/0.91 ( class_OrderedGroup_Omonoid__add(tc_Polynomial_Opoly(T_1)) % 0.52/0.91 | ~ class_OrderedGroup_Ocomm__monoid__add(T_1) ) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Ogroup__add,axiom, % 0.52/0.91 ( class_OrderedGroup_Ogroup__add(tc_Polynomial_Opoly(T_1)) % 0.52/0.91 | ~ class_OrderedGroup_Oab__group__add(T_1) ) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Osgn__if,axiom, % 0.52/0.91 ( class_Ring__and__Field_Osgn__if(tc_Polynomial_Opoly(T_1)) % 0.52/0.91 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oabs__if,axiom, % 0.52/0.91 ( class_Ring__and__Field_Oabs__if(tc_Polynomial_Opoly(T_1)) % 0.52/0.91 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_Polynomial__Opoly__Divides_Osemiring__div,axiom, % 0.52/0.91 ( class_Divides_Osemiring__div(tc_Polynomial_Opoly(T_1)) % 0.52/0.91 | ~ class_Ring__and__Field_Ofield(T_1) ) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oring,axiom, % 0.52/0.91 ( class_Ring__and__Field_Oring(tc_Polynomial_Opoly(T_1)) % 0.52/0.91 | ~ class_Ring__and__Field_Ocomm__ring(T_1) ) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oidom,axiom, % 0.52/0.91 ( class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(T_1)) % 0.52/0.91 | ~ class_Ring__and__Field_Oidom(T_1) ) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Odvd,axiom, % 0.52/0.91 ( class_Ring__and__Field_Odvd(tc_Polynomial_Opoly(T_1)) % 0.52/0.91 | ~ class_Ring__and__Field_Ocomm__semiring__1(T_1) ) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_Polynomial__Opoly__Orderings_Opreorder,axiom, % 0.52/0.91 ( class_Orderings_Opreorder(tc_Polynomial_Opoly(T_1)) % 0.52/0.91 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_Polynomial__Opoly__Orderings_Olinorder,axiom, % 0.52/0.91 ( class_Orderings_Olinorder(tc_Polynomial_Opoly(T_1)) % 0.52/0.91 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_Polynomial__Opoly__Divides_Oring__div,axiom, % 0.52/0.91 ( class_Divides_Oring__div(tc_Polynomial_Opoly(T_1)) % 0.52/0.91 | ~ class_Ring__and__Field_Ofield(T_1) ) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_Polynomial__Opoly__Orderings_Oorder,axiom, % 0.52/0.91 ( class_Orderings_Oorder(tc_Polynomial_Opoly(T_1)) % 0.52/0.91 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_Polynomial__Opoly__Int_Onumber__ring,axiom, % 0.52/0.91 ( class_Int_Onumber__ring(tc_Polynomial_Opoly(T_1)) % 0.52/0.91 | ~ class_Ring__and__Field_Ocomm__ring__1(T_1) ) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_Polynomial__Opoly__HOL_Ozero,axiom, % 0.52/0.91 ( class_HOL_Ozero(tc_Polynomial_Opoly(T_1)) % 0.52/0.91 | ~ class_HOL_Ozero(T_1) ) ). % 0.52/0.91 % 0.52/0.91 cnf(clsarity_Polynomial__Opoly__HOL_Oeq,axiom, % 0.52/0.91 ( class_HOL_Oeq(tc_Polynomial_Opoly(T_1)) % 0.52/0.91 | ~ class_HOL_Ozero(T_1) % 0.52/0.91 | ~ class_HOL_Oeq(T_1) ) ). % 0.52/0.91 % 0.52/0.91 %------------------------------------------------------------------------------ % 0.52/0.91 %------------------------------------------- % 0.52/0.91 % Proof found % 0.52/0.91 % SZS status Theorem for theBenchmark % 0.52/0.91 % SZS output start Proof % 0.52/0.91 %ClaNum:996(EqnAxiom:160) % 0.52/0.91 %VarNum:5877(SingletonVarNum:1861) % 0.52/0.91 %MaxLitNum:6 % 0.52/0.91 %MaxfuncDepth:5 % 0.52/0.91 %SharedTerms:138 % 0.52/0.91 %goalClause: 295 % 0.52/0.91 %singleGoalClaCount:1 % 0.52/0.91 [161]P1(a1) % 0.52/0.91 [162]P2(a2) % 0.52/0.91 [163]P2(a1) % 0.52/0.91 [164]P57(a1) % 0.52/0.91 [165]P51(a2) % 0.52/0.91 [166]P51(a1) % 0.52/0.91 [167]P3(a2) % 0.52/0.91 [168]P3(a1) % 0.52/0.91 [169]P59(a33) % 0.52/0.91 [170]P59(a1) % 0.52/0.91 [171]P13(a33) % 0.52/0.91 [172]P13(a2) % 0.52/0.91 [173]P13(a1) % 0.52/0.91 [174]P14(a2) % 0.52/0.91 [175]P14(a1) % 0.52/0.91 [176]P16(a2) % 0.52/0.91 [177]P16(a1) % 0.52/0.91 [178]P60(a33) % 0.52/0.91 [179]P60(a1) % 0.52/0.91 [180]P4(a33) % 0.52/0.91 [181]P58(a1) % 0.52/0.91 [182]P61(a2) % 0.52/0.91 [183]P61(a1) % 0.52/0.91 [184]P25(a2) % 0.52/0.91 [185]P25(a1) % 0.52/0.91 [186]P52(a2) % 0.52/0.91 [187]P52(a1) % 0.52/0.91 [188]P45(a2) % 0.52/0.91 [189]P45(a1) % 0.52/0.91 [190]P26(a33) % 0.52/0.91 [191]P26(a1) % 0.52/0.91 [192]P27(a1) % 0.52/0.91 [193]P63(a1) % 0.52/0.91 [194]P46(a33) % 0.52/0.91 [195]P46(a2) % 0.52/0.91 [196]P46(a1) % 0.52/0.91 [197]P53(a33) % 0.52/0.91 [198]P53(a2) % 0.52/0.91 [199]P53(a1) % 0.52/0.91 [200]P47(a2) % 0.52/0.91 [201]P47(a1) % 0.52/0.91 [202]P17(a33) % 0.52/0.91 [203]P17(a2) % 0.52/0.91 [204]P17(a1) % 0.52/0.91 [205]P37(a2) % 0.52/0.91 [206]P37(a1) % 0.52/0.91 [207]P49(a33) % 0.52/0.91 [208]P49(a2) % 0.52/0.91 [209]P49(a1) % 0.52/0.91 [210]P28(a1) % 0.52/0.91 [211]P33(a1) % 0.52/0.91 [212]P11(a33) % 0.52/0.91 [213]P11(a2) % 0.52/0.91 [214]P11(a1) % 0.52/0.91 [215]P12(a33) % 0.52/0.91 [216]P12(a2) % 0.52/0.91 [217]P12(a1) % 0.52/0.91 [218]P42(a2) % 0.52/0.91 [219]P42(a1) % 0.52/0.91 [220]P50(a2) % 0.52/0.91 [221]P50(a1) % 0.52/0.91 [222]P48(a1) % 0.52/0.91 [223]P29(a1) % 0.52/0.91 [224]P66(a2) % 0.52/0.91 [225]P66(a1) % 0.52/0.91 [226]P30(a33) % 0.52/0.91 [227]P30(a2) % 0.52/0.91 [228]P30(a1) % 0.52/0.91 [229]P20(a33) % 0.52/0.91 [230]P20(a2) % 0.52/0.91 [231]P20(a1) % 0.52/0.91 [232]P38(a33) % 0.52/0.91 [233]P38(a1) % 0.52/0.91 [234]P39(a33) % 0.52/0.91 [235]P39(a1) % 0.52/0.91 [236]P21(a33) % 0.52/0.91 [237]P21(a2) % 0.52/0.91 [238]P21(a1) % 0.52/0.91 [239]P18(a33) % 0.52/0.91 [240]P18(a2) % 0.52/0.91 [241]P18(a1) % 0.52/0.91 [242]P64(a33) % 0.52/0.91 [243]P64(a2) % 0.52/0.91 [244]P64(a1) % 0.52/0.91 [245]P34(a33) % 0.52/0.91 [246]P34(a1) % 0.52/0.91 [247]P43(a2) % 0.52/0.91 [248]P43(a1) % 0.52/0.91 [249]P22(a33) % 0.52/0.91 [250]P22(a2) % 0.52/0.91 [251]P22(a1) % 0.52/0.91 [252]P23(a33) % 0.52/0.91 [253]P23(a2) % 0.52/0.91 [254]P23(a1) % 0.52/0.91 [255]P40(a2) % 0.52/0.91 [256]P40(a1) % 0.52/0.91 [257]P41(a2) % 0.52/0.91 [258]P41(a1) % 0.52/0.91 [259]P62(a1) % 0.52/0.91 [260]P54(a33) % 0.52/0.91 [261]P54(a1) % 0.52/0.91 [262]P32(a1) % 0.52/0.91 [263]P65(a2) % 0.52/0.91 [264]P65(a1) % 0.52/0.91 [265]P55(a33) % 0.52/0.91 [266]P55(a2) % 0.52/0.91 [267]P55(a1) % 0.52/0.91 [268]P67(a33) % 0.52/0.91 [269]P67(a2) % 0.52/0.91 [270]P67(a1) % 0.52/0.91 [271]P56(a33) % 0.52/0.91 [272]P56(a2) % 0.52/0.91 [273]P56(a1) % 0.52/0.91 [274]P35(a33) % 0.52/0.91 [275]P35(a1) % 0.52/0.91 [276]P36(a33) % 0.52/0.91 [277]P36(a1) % 0.52/0.91 [278]P44(a2) % 0.52/0.91 [279]P44(a1) % 0.52/0.91 [280]P31(a33) % 0.52/0.91 [281]P31(a2) % 0.52/0.91 [282]P31(a1) % 0.52/0.91 [283]P24(a33) % 0.52/0.91 [284]P24(a2) % 0.52/0.91 [285]P24(a1) % 0.52/0.91 [288]~E(f14(a2),a37) % 0.52/0.91 [295]~E(f16(a37,a36,a2),f14(f32(a2))) % 0.52/0.91 [287]E(f24(f5(f3(a35,a2),f4(a36,f3(a35,a2),a2),a2),a2),f24(a37,a2)) % 0.52/0.91 [296]~E(f24(f5(f3(a35,a2),f4(a36,f3(a35,a2),a2),a2),a2),f24(a37,a2)) % 0.52/0.91 [290]~E(f29(x2901),x2901) % 0.52/0.91 [294]~E(f29(x2941),f14(a33)) % 0.52/0.91 [286]P12(f34(x2861,x2862)) % 0.52/0.91 [299]~E(f38(a36),f14(a2))+E(f14(f32(a2)),a36) % 0.52/0.91 [300]~E(f14(a2),f39(a36))+E(f14(f32(a2)),a36) % 0.52/0.91 [476]~E(f4(a36,f38(a36),a2),f14(a2))+E(f14(f32(a2)),a36) % 0.52/0.91 [477]~E(f4(a36,f39(a36),a2),f14(a2))+E(f14(f32(a2)),a36) % 0.52/0.91 [301]~P58(x3011)+P57(f32(x3011)) % 0.52/0.91 [302]~P51(x3021)+P51(f32(x3021)) % 0.52/0.91 [303]~P50(x3031)+P3(f32(x3031)) % 0.52/0.91 [304]~P58(x3041)+P59(f32(x3041)) % 0.52/0.91 [305]~P13(x3051)+P13(f32(x3051)) % 0.52/0.91 [306]~P14(x3061)+P14(f32(x3061)) % 0.52/0.91 [307]~P14(x3071)+P16(f32(x3071)) % 0.52/0.91 [308]~P58(x3081)+P60(f32(x3081)) % 0.52/0.91 [309]~P52(x3091)+P4(f32(x3091)) % 0.52/0.91 [310]~P58(x3101)+P58(f32(x3101)) % 0.52/0.91 [311]~P47(x3111)+P61(f32(x3111)) % 0.52/0.91 [312]~P58(x3121)+P26(f32(x3121)) % 0.52/0.91 [313]~P58(x3131)+P27(f32(x3131)) % 0.52/0.91 [314]~P58(x3141)+P63(f32(x3141)) % 0.52/0.91 [315]~P46(x3151)+P46(f32(x3151)) % 0.52/0.91 [316]~P13(x3161)+P53(f32(x3161)) % 0.52/0.91 [317]~P47(x3171)+P47(f32(x3171)) % 0.52/0.91 [318]~P46(x3181)+P17(f32(x3181)) % 0.52/0.91 [319]~P46(x3191)+P49(f32(x3191)) % 0.52/0.91 [320]~P58(x3201)+P33(f32(x3201)) % 0.52/0.91 [321]~P11(x3211)+P11(f32(x3211)) % 0.52/0.91 [322]~P52(x3221)+P5(f32(x3221)) % 0.52/0.91 [323]~P50(x3231)+P50(f32(x3231)) % 0.52/0.91 [324]~P58(x3241)+P48(f32(x3241)) % 0.52/0.91 [325]~P13(x3251)+P30(f32(x3251)) % 0.52/0.91 [326]~P13(x3261)+P20(f32(x3261)) % 0.52/0.91 [327]~P58(x3271)+P38(f32(x3271)) % 0.52/0.91 [328]~P58(x3281)+P39(f32(x3281)) % 0.52/0.91 [329]~P21(x3291)+P21(f32(x3291)) % 0.52/0.91 [330]~P21(x3301)+P18(f32(x3301)) % 0.52/0.91 [331]~P46(x3311)+P64(f32(x3311)) % 0.52/0.91 [332]~P58(x3321)+P34(f32(x3321)) % 0.52/0.91 [333]~P24(x3331)+P22(f32(x3331)) % 0.52/0.91 [334]~P24(x3341)+P23(f32(x3341)) % 0.52/0.91 [335]~P58(x3351)+P62(f32(x3351)) % 0.52/0.91 [336]~P58(x3361)+P54(f32(x3361)) % 0.52/0.91 [337]~P58(x3371)+P32(f32(x3371)) % 0.52/0.91 [338]~P51(x3381)+P65(f32(x3381)) % 0.52/0.91 [339]~P46(x3391)+P55(f32(x3391)) % 0.52/0.91 [340]~P13(x3401)+P67(f32(x3401)) % 0.52/0.91 [341]~P51(x3411)+P56(f32(x3411)) % 0.52/0.91 [342]~P58(x3421)+P35(f32(x3421)) % 0.52/0.91 [343]~P58(x3431)+P36(f32(x3431)) % 0.52/0.91 [344]~P21(x3441)+P31(f32(x3441)) % 0.52/0.91 [345]~P24(x3451)+P24(f32(x3451)) % 0.52/0.91 [347]~P67(x3471)+~E(f6(x3471),f14(x3471)) % 0.52/0.91 [430]~P59(x4301)+P8(f14(x4301),f6(x4301),x4301) % 0.52/0.91 [498]~P59(x4981)+~P8(f6(x4981),f14(x4981),x4981) % 0.52/0.91 [350]~P16(x3501)+E(f15(f14(x3501),x3501),f14(x3501)) % 0.52/0.91 [351]~P32(x3511)+E(f15(f14(x3511),x3511),f14(x3511)) % 0.52/0.91 [352]~P33(x3521)+E(f7(f14(x3521),x3521),f14(x3521)) % 0.52/0.91 [353]~P58(x3531)+E(f7(f6(x3531),x3531),f6(x3531)) % 0.52/0.91 [354]~P58(x3541)+E(f12(f14(x3541),x3541),f14(x3541)) % 0.52/0.91 [355]~P25(x3551)+E(f12(f14(x3551),x3551),f14(x3551)) % 0.52/0.91 [356]~P63(x3561)+E(f12(f14(x3561),x3561),f14(x3561)) % 0.52/0.91 [357]~P43(x3571)+E(f12(f6(x3571),x3571),f6(x3571)) % 0.52/0.91 [358]~P28(x3581)+E(f17(f14(x3581),x3581),f14(x3581)) % 0.52/0.91 [376]~P14(x3761)+E(f15(f14(f32(x3761)),f32(x3761)),f14(f32(x3761))) % 0.52/0.91 [377]~P58(x3771)+E(f12(f14(f32(x3771)),f32(x3771)),f14(f32(x3771))) % 0.52/0.91 [378]~P58(x3781)+~P6(f14(f32(x3781)),x3781) % 0.52/0.91 [436]~P28(x4361)+E(f13(f14(x4361),f14(x4361),x4361),f14(x4361)) % 0.52/0.91 [453]~P13(x4531)+E(f19(f6(f32(x4531)),f14(a33),x4531),f6(x4531)) % 0.52/0.91 [549]E(x5491,f14(a2))+E(f4(f16(a37,a36,a2),x5491,a2),f14(a2)) % 0.52/0.91 [550]~P33(x5501)+~P8(f14(x5501),f7(f14(x5501),x5501),x5501) % 0.52/0.91 [616]~P59(x6161)+P8(f14(x6161),f13(f6(x6161),f6(x6161),x6161),x6161) % 0.52/0.91 [366]~P11(x3661)+E(f18(f14(f32(x3661)),x3661),f14(a33)) % 0.52/0.91 [367]~P13(x3671)+E(f18(f6(f32(x3671)),x3671),f14(a33)) % 0.52/0.91 [471]~P13(x4711)+E(f16(f6(x4711),f14(f32(x4711)),x4711),f6(f32(x4711))) % 0.52/0.91 [473]~P11(x4731)+E(f16(f14(x4731),f14(f32(x4731)),x4731),f14(f32(x4731))) % 0.52/0.91 [486]E(x4861,f14(a2))+~E(f16(x4861,f14(f32(a2)),a2),a40) % 0.52/0.91 [491]~P52(x4911)+E(f26(f14(f32(x4911)),f14(f32(x4911)),x4911),f14(f32(x4911))) % 0.52/0.91 [703]~P57(x7031)+E(f13(f5(f14(x7031),f14(x7031),x7031),f5(f14(x7031),f14(x7031),x7031),x7031),f14(x7031)) % 0.52/0.91 [971]~P57(x9711)+~P8(f14(x9711),f13(f5(f14(x9711),f14(x9711),x9711),f5(f14(x9711),f14(x9711),x9711),x9711),x9711) % 0.52/0.91 [933]~P52(x9331)+E(f19(f26(f14(f32(x9331)),f14(f32(x9331)),x9331),f18(f26(f14(f32(x9331)),f14(f32(x9331)),x9331),x9331),x9331),f14(x9331)) % 0.52/0.91 [383]~P13(x3832)+P10(x3831,x3831,x3832) % 0.52/0.91 [384]~P12(x3842)+P7(x3841,x3841,x3842) % 0.52/0.91 [467]~P8(x4672,x4672,x4671)+~P26(x4671) % 0.52/0.91 [468]~P8(x4682,x4682,x4681)+~P38(x4681) % 0.52/0.91 [469]~P8(x4692,x4692,x4691)+~P39(x4691) % 0.52/0.91 [298]E(x2981,x2982)+~E(f29(x2981),f29(x2982)) % 0.52/0.91 [385]~P19(x3852)+E(f5(x3851,x3851,x3852),x3851) % 0.52/0.91 [386]~P4(x3862)+E(f8(x3861,x3861,x3862),f14(x3862)) % 0.52/0.91 [387]~P14(x3872)+E(f10(x3871,x3871,x3872),f14(x3872)) % 0.52/0.91 [389]~P16(x3892)+E(f10(x3891,x3891,x3892),f14(x3892)) % 0.52/0.91 [390]~P13(x3902)+P10(x3901,f14(x3902),x3902) % 0.52/0.91 [391]~P13(x3911)+P10(f6(x3911),x3912,x3911) % 0.52/0.91 [540]~P33(x5401)+~P8(f7(x5402,x5401),f14(x5401),x5401) % 0.52/0.91 [680]~P57(x6801)+~P8(f5(x6802,x6802,x6801),f14(x6801),x6801) % 0.52/0.91 [372]~P16(x3722)+E(f15(f15(x3721,x3722),x3722),x3721) % 0.52/0.91 [373]~P15(x3732)+E(f15(f15(x3731,x3732),x3732),x3731) % 0.52/0.91 [379]~P33(x3792)+E(f7(f15(x3791,x3792),x3792),f7(x3791,x3792)) % 0.52/0.91 [380]~P33(x3802)+E(f7(f7(x3801,x3802),x3802),f7(x3801,x3802)) % 0.52/0.91 [381]~P58(x3812)+E(f12(f12(x3811,x3812),x3812),f12(x3811,x3812)) % 0.52/0.91 [392]~P13(x3922)+E(f5(x3921,f6(x3922),x3922),x3921) % 0.52/0.91 [393]~P30(x3932)+E(f5(x3931,f6(x3932),x3932),x3931) % 0.52/0.91 [394]~P52(x3942)+E(f11(x3941,f6(x3942),x3942),x3941) % 0.52/0.91 [395]~P13(x3952)+E(f13(x3951,f14(x3952),x3952),x3951) % 0.52/0.91 [396]~P21(x3962)+E(f13(x3961,f14(x3962),x3962),x3961) % 0.52/0.91 [397]~P31(x3972)+E(f13(x3971,f14(x3972),x3972),x3971) % 0.52/0.91 [398]~P4(x3982)+E(f8(x3981,f14(x3982),x3982),x3981) % 0.52/0.91 [399]~P16(x3992)+E(f10(x3991,f14(x3992),x3992),x3991) % 0.52/0.91 [401]~P13(x4011)+E(f5(f6(x4011),x4012,x4011),x4012) % 0.52/0.91 [402]~P30(x4021)+E(f5(f6(x4021),x4022,x4021),x4022) % 0.52/0.91 [403]~P20(x4031)+E(f5(f6(x4031),x4032,x4031),x4032) % 0.52/0.91 [405]~P13(x4051)+E(f13(f14(x4051),x4052,x4051),x4052) % 0.52/0.91 [406]~P21(x4061)+E(f13(f14(x4061),x4062,x4061),x4062) % 0.52/0.91 [407]~P31(x4071)+E(f13(f14(x4071),x4072,x4071),x4072) % 0.52/0.91 [408]~P13(x4081)+E(f25(f6(x4081),x4082,x4081),x4082) % 0.52/0.91 [411]~P13(x4112)+E(f5(x4111,f14(x4112),x4112),f14(x4112)) % 0.52/0.91 [413]~P37(x4132)+E(f5(x4131,f14(x4132),x4132),f14(x4132)) % 0.52/0.91 [414]~P65(x4142)+E(f5(x4141,f14(x4142),x4142),f14(x4142)) % 0.52/0.91 [415]~P55(x4152)+E(f5(x4151,f14(x4152),x4152),f14(x4152)) % 0.52/0.91 [416]~P4(x4162)+E(f8(x4161,f6(x4162),x4162),f14(x4162)) % 0.52/0.91 [417]~P25(x4172)+E(f30(x4171,f14(x4172),x4172),f14(x4172)) % 0.52/0.91 [418]~P45(x4182)+E(f30(x4181,f14(x4182),x4182),f14(x4182)) % 0.52/0.91 [420]~P13(x4201)+E(f5(f14(x4201),x4202,x4201),f14(x4201)) % 0.52/0.91 [422]~P37(x4221)+E(f5(f14(x4221),x4222,x4221),f14(x4221)) % 0.52/0.91 [423]~P65(x4231)+E(f5(f14(x4231),x4232,x4231),f14(x4231)) % 0.52/0.91 [424]~P55(x4241)+E(f5(f14(x4241),x4242,x4241),f14(x4241)) % 0.52/0.91 [425]~P52(x4251)+E(f11(f14(x4251),x4252,x4251),f14(x4251)) % 0.52/0.91 [426]~P42(x4261)+E(f11(f14(x4261),x4262,x4261),f14(x4261)) % 0.52/0.91 [427]~P4(x4271)+E(f8(f14(x4271),x4272,x4271),f14(x4271)) % 0.52/0.91 [433]~P51(x4331)+E(f25(f14(x4331),x4332,x4331),f14(f32(x4331))) % 0.52/0.91 [434]~P46(x4341)+E(f25(f14(x4341),x4342,x4341),f14(f32(x4341))) % 0.52/0.91 [435]~P11(x4351)+E(f21(f14(x4351),x4352,x4351),f14(f32(x4351))) % 0.52/0.91 [441]~P16(x4411)+E(f10(f14(x4411),x4412,x4411),f15(x4412,x4411)) % 0.52/0.91 [449]~P21(x4492)+E(f13(x4491,f14(f32(x4492)),f32(x4492)),x4491) % 0.52/0.91 [450]~P14(x4502)+E(f10(x4501,f14(f32(x4502)),f32(x4502)),x4501) % 0.52/0.91 [451]~P21(x4511)+E(f13(f14(f32(x4511)),x4512,f32(x4511)),x4512) % 0.52/0.91 [452]~P25(x4522)+E(f12(f15(x4521,x4522),x4522),f15(f12(x4521,x4522),x4522)) % 0.52/0.91 [463]~P16(x4632)+E(f13(x4631,f15(x4631,x4632),x4632),f14(x4632)) % 0.52/0.91 [464]~P14(x4642)+E(f13(f15(x4641,x4642),x4641,x4642),f14(x4642)) % 0.52/0.91 [466]~P16(x4662)+E(f13(f15(x4661,x4662),x4661,x4662),f14(x4662)) % 0.52/0.91 [472]~P46(x4722)+E(f5(x4721,f14(f32(x4722)),f32(x4722)),f14(f32(x4722))) % 0.52/0.91 [474]~P46(x4741)+E(f5(f14(f32(x4741)),x4742,f32(x4741)),f14(f32(x4741))) % 0.52/0.91 [480]~P58(x4802)+E(f5(x4801,f12(x4801,x4802),x4802),f7(x4801,x4802)) % 0.52/0.91 [484]~P14(x4841)+E(f10(f14(f32(x4841)),x4842,f32(x4841)),f15(x4842,f32(x4841))) % 0.52/0.91 [502]~P58(x5022)+E(f5(f12(x5021,x5022),f7(x5021,x5022),x5022),x5021) % 0.52/0.91 [554]~P51(x5542)+E(f5(f15(x5541,x5542),f15(x5541,x5542),x5542),f5(x5541,x5541,x5542)) % 0.52/0.91 [555]~P58(x5552)+E(f5(f7(x5551,x5552),f7(x5551,x5552),x5552),f5(x5551,x5551,x5552)) % 0.52/0.91 [589]~P59(x5892)+P8(x5891,f13(x5891,f6(x5892),x5892),x5892) % 0.52/0.91 [622]~P52(x6221)+P10(f25(f14(x6221),x6222,x6221),f14(f32(x6221)),f32(x6221)) % 0.52/0.91 [973]~P52(x9732)+P9(x9731,f14(f32(x9732)),f14(f32(x9732)),x9731,x9732) % 0.52/0.91 [974]~P52(x9741)+P9(f14(f32(x9741)),x9742,f14(f32(x9741)),f14(f32(x9741)),x9741) % 0.52/0.91 [978]~P52(x9781)+P9(f13(f5(f14(f32(x9781)),x9782,f32(x9781)),f14(f32(x9781)),f32(x9781)),x9782,f14(f32(x9781)),f14(f32(x9781)),x9781) % 0.52/0.91 [979]~P52(x9791)+P9(f13(f5(f14(f32(x9791)),f14(f32(x9791)),f32(x9791)),x9792,f32(x9791)),f14(f32(x9791)),f14(f32(x9791)),x9792,x9791) % 0.52/0.91 [429]~P14(x4292)+E(f18(f15(x4291,f32(x4292)),x4292),f18(x4291,x4292)) % 0.52/0.91 [443]~P11(x4431)+E(f19(f14(f32(x4431)),x4432,x4431),f14(x4431)) % 0.52/0.91 [444]~P51(x4441)+E(f4(f14(f32(x4441)),x4442,x4441),f14(x4441)) % 0.52/0.91 [445]~P46(x4451)+E(f4(f14(f32(x4451)),x4452,x4451),f14(x4451)) % 0.52/0.91 [446]~P13(x4461)+E(f4(f6(f32(x4461)),x4462,x4461),f6(x4461)) % 0.52/0.91 [455]~P51(x4552)+E(f25(x4551,f14(f32(x4552)),x4552),f14(f32(x4552))) % 0.52/0.91 [456]~P46(x4562)+E(f25(x4561,f14(f32(x4562)),x4562),f14(f32(x4562))) % 0.52/0.91 [457]~P52(x4572)+E(f26(x4571,f6(f32(x4572)),x4572),f6(f32(x4572))) % 0.52/0.91 [458]~P52(x4581)+E(f26(f6(f32(x4581)),x4582,x4581),f6(f32(x4581))) % 0.52/0.91 [459]~P46(x4591)+E(f27(f14(f32(x4591)),x4592,x4591),f14(f32(x4591))) % 0.52/0.91 [460]~P46(x4601)+E(f9(f14(f32(x4601)),x4602,x4601),f14(f32(x4601))) % 0.52/0.91 [461]~P46(x4611)+E(f22(f14(f32(x4611)),x4612,x4611),f14(f32(x4611))) % 0.52/0.91 [499]~P3(x4991)+E(f5(f15(f6(x4991),x4991),x4992,x4991),f15(x4992,x4991)) % 0.52/0.91 [531]~P11(x5312)+E(f16(x5311,f14(f32(x5312)),x5312),f21(x5311,f14(a33),x5312)) % 0.52/0.91 [539]~P51(x5391)+E(f18(f25(f14(x5391),x5392,x5391),x5391),f14(a33)) % 0.52/0.91 [668]~P13(x6682)+E(f13(x6681,x6681,x6682),f5(f13(f6(x6682),f6(x6682),x6682),x6681,x6682)) % 0.52/0.91 [760]~P46(x7601)+E(f28(f14(f32(x7601)),x7602,x7601),f20(f14(f32(x7601)),f14(x7601),f32(x7601),x7601)) % 0.52/0.91 [790]~P52(x7901)+E(f23(f14(f32(x7901)),x7902,x7901),f20(f14(f32(x7901)),f14(f32(x7901)),f32(x7901),f32(x7901))) % 0.52/0.91 [551]~P11(x5512)+E(f18(f16(x5511,f14(f32(x5512)),x5512),x5512),f14(a33)) % 0.52/0.91 [506]~P13(x5063)+E(f5(x5061,x5062,x5063),f5(x5062,x5061,x5063)) % 0.52/0.91 [508]~P13(x5083)+E(f13(x5081,x5082,x5083),f13(x5082,x5081,x5083)) % 0.52/0.91 [509]~P21(x5093)+E(f13(x5091,x5092,x5093),f13(x5092,x5091,x5093)) % 0.52/0.91 [510]~P52(x5103)+E(f26(x5101,x5102,x5103),f26(x5102,x5101,x5103)) % 0.52/0.91 [556]~P13(x5563)+P10(x5561,f5(x5562,x5561,x5563),x5563) % 0.52/0.91 [557]~P13(x5573)+P10(x5571,f5(x5571,x5572,x5573),x5573) % 0.52/0.91 [558]~P53(x5583)+P10(x5581,f5(x5581,x5582,x5583),x5583) % 0.52/0.91 [571]~P52(x5713)+P10(f26(x5711,x5712,x5713),x5712,f32(x5713)) % 0.52/0.91 [572]~P52(x5723)+P10(f26(x5721,x5722,x5723),x5721,f32(x5723)) % 0.52/0.91 [526]~P45(x5262)+E(f30(x5261,f14(x5262),x5262),f30(x5263,f14(x5262),x5262)) % 0.52/0.91 [533]~P46(x5333)+E(f18(f9(x5331,x5332,x5333),x5333),f18(x5331,x5333)) % 0.52/0.91 [534]~P3(x5343)+E(f13(x5341,f15(x5342,x5343),x5343),f10(x5341,x5342,x5343)) % 0.52/0.91 [536]~P14(x5363)+E(f13(x5361,f15(x5362,x5363),x5363),f10(x5361,x5362,x5363)) % 0.52/0.91 [537]~P16(x5373)+E(f13(x5371,f15(x5372,x5373),x5373),f10(x5371,x5372,x5373)) % 0.52/0.91 [538]~P16(x5383)+E(f10(x5381,f15(x5382,x5383),x5383),f13(x5381,x5382,x5383)) % 0.52/0.91 [552]~P61(x5522)+E(f5(f15(x5521,x5522),x5523,x5522),f5(x5521,f15(x5523,x5522),x5522)) % 0.52/0.91 [553]~P61(x5532)+E(f5(f15(x5531,x5532),f15(x5533,x5532),x5532),f5(x5531,x5533,x5532)) % 0.52/0.91 [559]~P16(x5593)+E(f13(f10(x5591,x5592,x5593),x5592,x5593),x5591) % 0.52/0.91 [560]~P16(x5603)+E(f10(f13(x5601,x5602,x5603),x5602,x5603),x5601) % 0.52/0.91 [561]~P11(x5613)+E(f19(f21(x5611,x5612,x5613),x5612,x5613),x5611) % 0.52/0.91 [563]~P4(x5633)+E(f8(f5(x5631,x5632,x5633),x5632,x5633),f14(x5633)) % 0.52/0.91 [564]~P4(x5643)+E(f8(f5(x5641,x5642,x5643),x5641,x5643),f14(x5643)) % 0.52/0.91 [565]~P11(x5653)+E(f19(f16(x5651,x5652,x5653),f14(a33),x5653),x5651) % 0.52/0.91 [594]~P14(x5943)+E(f15(f10(x5941,x5942,x5943),x5943),f10(x5942,x5941,x5943)) % 0.52/0.91 [613]~P14(x6132)+E(f13(f15(x6131,x6132),f13(x6133,x6131,x6132),x6132),x6133) % 0.52/0.91 [614]~P16(x6142)+E(f13(f15(x6141,x6142),f13(x6141,x6143,x6142),x6142),x6143) % 0.52/0.91 [623]~P61(x6233)+E(f5(x6231,f15(x6232,x6233),x6233),f15(f5(x6231,x6232,x6233),x6233)) % 0.52/0.91 [624]~P61(x6242)+E(f5(f15(x6241,x6242),x6243,x6242),f15(f5(x6241,x6243,x6242),x6242)) % 0.52/0.91 [625]~P52(x6252)+E(f11(f15(x6251,x6252),x6253,x6252),f15(f11(x6251,x6253,x6252),x6252)) % 0.52/0.91 [627]~P37(x6273)+E(f5(x6271,f15(x6272,x6273),x6273),f15(f5(x6271,x6272,x6273),x6273)) % 0.52/0.91 [628]~P25(x6283)+E(f30(x6281,f15(x6282,x6283),x6283),f15(f30(x6281,x6282,x6283),x6283)) % 0.52/0.91 [629]~P45(x6293)+E(f30(x6291,f15(x6292,x6293),x6293),f15(f30(x6291,x6292,x6293),x6293)) % 0.52/0.91 [631]~P37(x6312)+E(f5(f15(x6311,x6312),x6313,x6312),f15(f5(x6311,x6313,x6312),x6312)) % 0.52/0.91 [632]~P42(x6322)+E(f11(f15(x6321,x6322),x6323,x6322),f15(f11(x6321,x6323,x6322),x6322)) % 0.52/0.91 [634]~P47(x6343)+E(f15(f25(x6341,x6342,x6343),f32(x6343)),f25(f15(x6341,x6343),x6342,x6343)) % 0.52/0.91 [635]~P14(x6353)+E(f15(f21(x6351,x6352,x6353),f32(x6353)),f21(f15(x6351,x6353),x6352,x6353)) % 0.52/0.91 [645]~P19(x6453)+E(f5(x6451,f5(x6451,x6452,x6453),x6453),f5(x6451,x6452,x6453)) % 0.52/0.91 [646]~P4(x6463)+E(f8(f13(x6461,x6462,x6463),x6462,x6463),f8(x6461,x6462,x6463)) % 0.52/0.91 [647]~P4(x6473)+E(f8(f13(x6471,x6472,x6473),x6471,x6473),f8(x6472,x6471,x6473)) % 0.52/0.91 [648]~P4(x6483)+E(f8(f8(x6481,x6482,x6483),x6482,x6483),f8(x6481,x6482,x6483)) % 0.52/0.91 [653]~P16(x6532)+E(f13(f15(x6531,x6532),f15(x6533,x6532),x6532),f15(f13(x6533,x6531,x6532),x6532)) % 0.52/0.91 [654]~P14(x6542)+E(f13(f15(x6541,x6542),f15(x6543,x6542),x6542),f15(f13(x6541,x6543,x6542),x6542)) % 0.52/0.91 [655]~P58(x6552)+E(f5(f7(x6551,x6552),f7(x6553,x6552),x6552),f7(f5(x6551,x6553,x6552),x6552)) % 0.52/0.91 [656]~P58(x6562)+E(f5(f12(x6561,x6562),f12(x6563,x6562),x6562),f12(f5(x6561,x6563,x6562),x6562)) % 0.52/0.91 [657]~P44(x6572)+E(f5(f12(x6571,x6572),f12(x6573,x6572),x6572),f12(f5(x6571,x6573,x6572),x6572)) % 0.52/0.91 [658]~P14(x6582)+E(f10(f15(x6581,x6582),f15(x6583,x6582),x6582),f15(f10(x6581,x6583,x6582),x6582)) % 0.52/0.91 [662]~P11(x6621)+E(f16(f14(x6621),f21(x6622,x6623,x6621),x6621),f21(x6622,f29(x6623),x6621)) % 0.52/0.91 [669]~P33(x6693)+E(f7(f10(x6691,x6692,x6693),x6693),f7(f10(x6692,x6691,x6693),x6693)) % 0.52/0.91 [691]~P51(x6912)+P10(f5(x6911,f14(x6912),x6912),f5(x6913,f14(x6912),x6912),x6912) % 0.52/0.91 [692]~P51(x6921)+P10(f5(f14(x6921),x6922,x6921),f5(f14(x6921),x6923,x6921),x6921) % 0.52/0.91 [937]~P46(x9373)+E(f13(x9371,f25(x9372,f27(x9371,x9372,x9373),x9373),f32(x9373)),f16(f4(x9371,x9372,x9373),f27(x9371,x9372,x9373),x9373)) % 0.52/0.91 [966]~P57(x9661)+~P8(f13(f5(x9662,x9662,x9661),f5(x9663,x9663,x9661),x9661),f14(x9661),x9661) % 0.52/0.91 [977]~P50(x9772)+E(f13(f5(f16(f15(x9771,x9772),f16(f6(x9772),f14(f32(x9772)),x9772),x9772),f27(x9773,x9771,x9772),f32(x9772)),f16(f4(x9773,x9771,x9772),f14(f32(x9772)),x9772),f32(x9772)),x9773) % 0.52/0.91 [546]~P52(x5463)+E(f26(x5461,f15(x5462,f32(x5463)),x5463),f26(x5461,x5462,x5463)) % 0.52/0.91 [547]~P52(x5472)+E(f26(f15(x5471,f32(x5472)),x5473,x5472),f26(x5471,x5473,x5472)) % 0.52/0.91 [642]~P14(x6422)+E(f19(f15(x6421,f32(x6422)),x6423,x6422),f15(f19(x6421,x6423,x6422),x6422)) % 0.52/0.91 [643]~P47(x6432)+E(f4(f15(x6431,f32(x6432)),x6433,x6432),f15(f4(x6431,x6433,x6432),x6432)) % 0.52/0.91 [644]~P16(x6442)+E(f13(x6441,f13(f15(x6441,x6442),x6443,x6442),x6442),x6443) % 0.52/0.91 [650]~P47(x6503)+E(f25(x6501,f15(x6502,f32(x6503)),x6503),f15(f25(x6501,x6502,x6503),f32(x6503))) % 0.52/0.91 [671]~P14(x6712)+E(f16(f15(x6711,x6712),f15(x6713,f32(x6712)),x6712),f15(f16(x6711,x6713,x6712),f32(x6712))) % 0.52/0.91 [747]~P33(x7472)+E(f7(f13(f7(x7471,x7472),f7(x7473,x7472),x7472),x7472),f13(f7(x7471,x7472),f7(x7473,x7472),x7472)) % 0.52/0.91 [753]~P13(x7533)+E(f13(x7531,f5(x7532,x7531,x7533),x7533),f5(f13(x7532,f6(x7533),x7533),x7531,x7533)) % 0.52/0.91 [754]~P13(x7543)+E(f13(f5(x7541,x7542,x7543),x7542,x7543),f5(f13(x7541,f6(x7543),x7543),x7542,x7543)) % 0.52/0.91 [791]~P5(x7913)+E(f8(f15(f8(x7911,x7912,x7913),x7913),x7912,x7913),f8(f15(x7911,x7913),x7912,x7913)) % 0.52/0.91 [916]~P52(x9161)+E(f20(f14(f32(x9161)),f16(x9162,x9163,x9161),f32(x9161),f32(x9161)),f23(f16(x9162,x9163,x9161),f14(f32(x9161)),x9161)) % 0.52/0.91 [686]~P46(x6862)+E(f9(f16(x6861,f14(f32(x6862)),x6862),x6863,x6862),f16(x6861,f14(f32(x6862)),x6862)) % 0.52/0.91 [651]~P11(x6513)+E(f19(f16(x6511,x6512,x6513),f29(x6514),x6513),f19(x6512,x6514,x6513)) % 0.52/0.91 [704]~P13(x7044)+E(f5(x7041,f5(x7042,x7043,x7044),x7044),f5(x7042,f5(x7041,x7043,x7044),x7044)) % 0.52/0.91 [705]~P13(x7054)+E(f13(x7051,f13(x7052,x7053,x7054),x7054),f13(x7052,f13(x7051,x7053,x7054),x7054)) % 0.52/0.91 [706]~P14(x7064)+E(f13(x7061,f13(x7062,x7063,x7064),x7064),f13(x7062,f13(x7061,x7063,x7064),x7064)) % 0.52/0.91 [707]~P21(x7074)+E(f13(x7071,f13(x7072,x7073,x7074),x7074),f13(x7072,f13(x7071,x7073,x7074),x7074)) % 0.52/0.91 [709]~P37(x7094)+E(f30(x7091,f5(x7092,x7093,x7094),x7094),f5(x7092,f30(x7091,x7093,x7094),x7094)) % 0.52/0.91 [710]~P40(x7104)+E(f30(x7101,f5(x7102,x7103,x7104),x7104),f5(x7102,f30(x7101,x7103,x7104),x7104)) % 0.52/0.91 [712]~P25(x7124)+E(f30(x7121,f30(x7122,x7123,x7124),x7124),f30(x7122,f30(x7121,x7123,x7124),x7124)) % 0.52/0.91 [713]~P45(x7134)+E(f30(x7131,f30(x7132,x7133,x7134),x7134),f30(x7132,f30(x7131,x7133,x7134),x7134)) % 0.52/0.91 [714]~P52(x7144)+E(f26(x7141,f26(x7142,x7143,x7144),x7144),f26(x7142,f26(x7141,x7143,x7144),x7144)) % 0.52/0.91 [719]~P46(x7193)+E(f25(f5(x7191,x7192,x7193),x7194,x7193),f25(x7191,f25(x7192,x7194,x7193),x7193)) % 0.52/0.91 [720]~P46(x7203)+E(f21(f5(x7201,x7202,x7203),x7204,x7203),f25(x7201,f21(x7202,x7204,x7203),x7203)) % 0.52/0.91 [721]~P13(x7213)+E(f5(f5(x7211,x7212,x7213),x7214,x7213),f5(x7211,f5(x7212,x7214,x7213),x7213)) % 0.52/0.91 [722]~P17(x7223)+E(f5(f5(x7221,x7222,x7223),x7224,x7223),f5(x7221,f5(x7222,x7224,x7223),x7223)) % 0.52/0.91 [724]~P37(x7244)+E(f30(x7241,f5(x7242,x7243,x7244),x7244),f5(f30(x7241,x7242,x7244),x7243,x7244)) % 0.52/0.91 [725]~P40(x7254)+E(f30(x7251,f5(x7252,x7253,x7254),x7254),f5(f30(x7251,x7252,x7254),x7253,x7254)) % 0.52/0.91 [726]~P42(x7264)+E(f30(x7261,f11(x7262,x7263,x7264),x7264),f11(f30(x7261,x7262,x7264),x7263,x7264)) % 0.52/0.91 [727]~P13(x7273)+E(f13(f13(x7271,x7272,x7273),x7274,x7273),f13(x7271,f13(x7272,x7274,x7273),x7273)) % 0.52/0.91 [728]~P21(x7283)+E(f13(f13(x7281,x7282,x7283),x7284,x7283),f13(x7281,f13(x7282,x7284,x7283),x7283)) % 0.52/0.91 [729]~P18(x7293)+E(f13(f13(x7291,x7292,x7293),x7294,x7293),f13(x7291,f13(x7292,x7294,x7293),x7293)) % 0.52/0.91 [730]~P46(x7303)+E(f19(f25(x7301,x7302,x7303),x7304,x7303),f5(x7301,f19(x7302,x7304,x7303),x7303)) % 0.52/0.91 [731]~P52(x7313)+E(f26(f26(x7311,x7312,x7313),x7314,x7313),f26(x7311,f26(x7312,x7314,x7313),x7313)) % 0.52/0.91 [732]~P46(x7324)+E(f5(x7321,f4(x7322,x7323,x7324),x7324),f4(f25(x7321,x7322,x7324),x7323,x7324)) % 0.52/0.91 [733]~P46(x7333)+E(f4(f9(x7331,x7332,x7333),x7334,x7333),f4(x7331,f13(x7332,x7334,x7333),x7333)) % 0.52/0.91 [734]~P46(x7343)+E(f4(f22(x7341,x7342,x7343),x7344,x7343),f4(x7341,f4(x7342,x7344,x7343),x7343)) % 0.52/0.91 [735]~P13(x7353)+E(f5(f5(x7351,x7352,x7353),x7354,x7353),f5(f5(x7351,x7354,x7353),x7352,x7353)) % 0.52/0.91 [736]~P13(x7363)+E(f13(f13(x7361,x7362,x7363),x7364,x7363),f13(f13(x7361,x7364,x7363),x7362,x7363)) % 0.52/0.91 [817]~P13(x8173)+E(f13(f5(x8171,x8172,x8173),f5(x8171,x8174,x8173),x8173),f5(x8171,f13(x8172,x8174,x8173),x8173)) % 0.52/0.91 [819]~P37(x8193)+E(f13(f5(x8191,x8192,x8193),f5(x8191,x8194,x8193),x8193),f5(x8191,f13(x8192,x8194,x8193),x8193)) % 0.52/0.91 [821]~P37(x8213)+E(f10(f5(x8211,x8212,x8213),f5(x8211,x8214,x8213),x8213),f5(x8211,f10(x8212,x8214,x8213),x8213)) % 0.52/0.91 [822]~P25(x8223)+E(f13(f30(x8221,x8222,x8223),f30(x8221,x8224,x8223),x8223),f30(x8221,f13(x8222,x8224,x8223),x8223)) % 0.52/0.91 [823]~P45(x8233)+E(f13(f30(x8231,x8232,x8233),f30(x8231,x8234,x8233),x8233),f30(x8231,f13(x8232,x8234,x8233),x8233)) % 0.52/0.91 [824]~P25(x8243)+E(f10(f30(x8241,x8242,x8243),f30(x8241,x8244,x8243),x8243),f30(x8241,f10(x8242,x8244,x8243),x8243)) % 0.52/0.91 [825]~P45(x8253)+E(f10(f30(x8251,x8252,x8253),f30(x8251,x8254,x8253),x8253),f30(x8251,f10(x8252,x8254,x8253),x8253)) % 0.52/0.91 [826]~P46(x8263)+E(f16(f5(x8261,x8262,x8263),f25(x8261,x8264,x8263),x8263),f25(x8261,f16(x8262,x8264,x8263),x8263)) % 0.52/0.91 [829]~P37(x8293)+E(f13(f5(x8291,x8292,x8293),f5(x8294,x8292,x8293),x8293),f5(f13(x8291,x8294,x8293),x8292,x8293)) % 0.52/0.91 [830]~P49(x8303)+E(f13(f5(x8301,x8302,x8303),f5(x8304,x8302,x8303),x8303),f5(f13(x8301,x8304,x8303),x8302,x8303)) % 0.52/0.91 [832]~P37(x8323)+E(f10(f5(x8321,x8322,x8323),f5(x8324,x8322,x8323),x8323),f5(f10(x8321,x8324,x8323),x8322,x8323)) % 0.52/0.91 [833]~P52(x8333)+E(f13(f11(x8331,x8332,x8333),f11(x8334,x8332,x8333),x8333),f11(f13(x8331,x8334,x8333),x8332,x8333)) % 0.52/0.91 [834]~P42(x8343)+E(f13(f11(x8341,x8342,x8343),f11(x8344,x8342,x8343),x8343),f11(f13(x8341,x8344,x8343),x8342,x8343)) % 0.52/0.91 [835]~P52(x8353)+E(f10(f11(x8351,x8352,x8353),f11(x8354,x8352,x8353),x8353),f11(f10(x8351,x8354,x8353),x8352,x8353)) % 0.52/0.91 [836]~P42(x8363)+E(f10(f11(x8361,x8362,x8363),f11(x8364,x8362,x8363),x8363),f11(f10(x8361,x8364,x8363),x8362,x8363)) % 0.52/0.91 [837]~P46(x8373)+E(f27(f16(x8371,x8372,x8373),x8374,x8373),f16(f4(x8372,x8374,x8373),f27(x8372,x8374,x8373),x8373)) % 0.52/0.91 [838]~P4(x8383)+E(f8(f5(x8381,x8382,x8383),f5(x8381,x8384,x8383),x8383),f5(x8381,f8(x8382,x8384,x8383),x8383)) % 0.52/0.91 [839]~P13(x8393)+E(f13(f5(x8391,x8392,x8393),f5(x8394,x8392,x8393),x8393),f5(f13(x8391,x8394,x8393),x8392,x8393)) % 0.52/0.91 [840]~P4(x8403)+E(f8(f5(x8401,x8402,x8403),f5(x8404,x8402,x8403),x8403),f5(f8(x8401,x8404,x8403),x8402,x8403)) % 0.52/0.91 [843]~P46(x8433)+E(f13(f25(x8431,x8432,x8433),f25(x8434,x8432,x8433),f32(x8433)),f25(f13(x8431,x8434,x8433),x8432,x8433)) % 0.52/0.91 [844]~P47(x8443)+E(f10(f25(x8441,x8442,x8443),f25(x8444,x8442,x8443),f32(x8443)),f25(f10(x8441,x8444,x8443),x8442,x8443)) % 0.52/0.91 [845]~P21(x8453)+E(f13(f21(x8451,x8452,x8453),f21(x8454,x8452,x8453),f32(x8453)),f21(f13(x8451,x8454,x8453),x8452,x8453)) % 0.52/0.91 [846]~P14(x8463)+E(f10(f21(x8461,x8462,x8463),f21(x8464,x8462,x8463),f32(x8463)),f21(f10(x8461,x8464,x8463),x8462,x8463)) % 0.52/0.91 [876]~P46(x8763)+E(f13(f5(x8761,x8762,f32(x8763)),f5(x8764,x8762,f32(x8763)),f32(x8763)),f5(f13(x8761,x8764,f32(x8763)),x8762,f32(x8763))) % 0.52/0.91 [941]~P46(x9413)+E(f13(f25(x9411,x9412,x9413),f16(f14(x9413),f5(x9412,x9414,f32(x9413)),x9413),f32(x9413)),f5(x9412,f16(x9411,x9414,x9413),f32(x9413))) % 0.52/0.91 [942]~P46(x9423)+E(f13(f25(x9421,x9422,x9423),f16(f14(x9423),f5(x9424,x9422,f32(x9423)),x9423),f32(x9423)),f5(f16(x9421,x9424,x9423),x9422,f32(x9423))) % 0.52/0.91 [943]~P46(x9432)+E(f13(f16(x9431,f14(f32(x9432)),x9432),f5(x9433,f22(x9434,x9433,x9432),f32(x9432)),f32(x9432)),f22(f16(x9431,x9434,x9432),x9433,x9432)) % 0.52/0.91 [962]~P46(x9623)+E(f13(f25(x9621,f9(x9622,x9621,x9623),x9623),f16(x9624,f9(x9622,x9621,x9623),x9623),f32(x9623)),f9(f16(x9624,x9622,x9623),x9621,x9623)) % 0.52/0.91 [757]~P46(x7574)+E(f25(x7571,f5(x7572,x7573,f32(x7574)),x7574),f5(x7572,f25(x7571,x7573,x7574),f32(x7574))) % 0.52/0.91 [758]~P46(x7584)+E(f25(x7581,f5(x7582,x7583,f32(x7584)),x7584),f5(f25(x7581,x7582,x7584),x7583,f32(x7584))) % 0.52/0.91 [815]~P4(x8154)+E(f8(f13(x8151,f5(x8152,x8153,x8154),x8154),x8153,x8154),f8(x8151,x8153,x8154)) % 0.52/0.91 [816]~P4(x8164)+E(f8(f13(x8161,f5(x8162,x8163,x8164),x8164),x8162,x8164),f8(x8161,x8162,x8164)) % 0.52/0.91 [849]~P21(x8493)+E(f13(f19(x8491,x8492,x8493),f19(x8494,x8492,x8493),x8493),f19(f13(x8491,x8494,f32(x8493)),x8492,x8493)) % 0.52/0.91 [850]~P14(x8503)+E(f10(f19(x8501,x8502,x8503),f19(x8504,x8502,x8503),x8503),f19(f10(x8501,x8504,f32(x8503)),x8502,x8503)) % 0.52/0.91 [851]~P46(x8513)+E(f5(f4(x8511,x8512,x8513),f4(x8514,x8512,x8513),x8513),f4(f5(x8511,x8514,f32(x8513)),x8512,x8513)) % 0.52/0.91 [852]~P46(x8523)+E(f13(f4(x8521,x8522,x8523),f4(x8524,x8522,x8523),x8523),f4(f13(x8521,x8524,f32(x8523)),x8522,x8523)) % 0.52/0.91 [853]~P47(x8533)+E(f10(f4(x8531,x8532,x8533),f4(x8534,x8532,x8533),x8533),f4(f10(x8531,x8534,f32(x8533)),x8532,x8533)) % 0.52/0.91 [857]~P46(x8573)+E(f13(f25(x8571,x8572,x8573),f25(x8571,x8574,x8573),f32(x8573)),f25(x8571,f13(x8572,x8574,f32(x8573)),x8573)) % 0.52/0.91 [858]~P47(x8583)+E(f10(f25(x8581,x8582,x8583),f25(x8581,x8584,x8583),f32(x8583)),f25(x8581,f10(x8582,x8584,f32(x8583)),x8583)) % 0.52/0.91 [890]~P46(x8904)+E(f13(x8901,f5(x8902,f4(x8903,x8902,x8904),x8904),x8904),f4(f16(x8901,x8903,x8904),x8902,x8904)) % 0.52/0.91 [891]~P4(x8914)+E(f8(f5(x8911,f8(x8912,x8913,x8914),x8914),x8913,x8914),f8(f5(x8911,x8912,x8914),x8913,x8914)) % 0.52/0.91 [893]~P5(x8934)+E(f8(f10(x8931,f8(x8932,x8933,x8934),x8934),x8933,x8934),f8(f10(x8931,x8932,x8934),x8933,x8934)) % 0.52/0.91 [896]~P5(x8963)+E(f8(f10(f8(x8961,x8962,x8963),x8964,x8963),x8962,x8963),f8(f10(x8961,x8964,x8963),x8962,x8963)) % 0.52/0.91 [897]~P4(x8974)+E(f8(f13(x8971,f8(x8972,x8973,x8974),x8974),x8973,x8974),f8(f13(x8971,x8972,x8974),x8973,x8974)) % 0.52/0.91 [898]~P4(x8983)+E(f8(f5(f8(x8981,x8982,x8983),x8984,x8983),x8982,x8983),f8(f5(x8981,x8984,x8983),x8982,x8983)) % 0.52/0.91 [899]~P4(x8993)+E(f8(f13(f8(x8991,x8992,x8993),x8994,x8993),x8992,x8993),f8(f13(x8991,x8994,x8993),x8992,x8993)) % 0.52/0.91 [948]~P4(x9483)+E(f8(f5(f8(x9481,x9482,x9483),f8(x9484,x9482,x9483),x9483),x9482,x9483),f8(f5(x9481,x9484,x9483),x9482,x9483)) % 0.52/0.91 [949]~P4(x9493)+E(f8(f13(f8(x9491,x9492,x9493),f8(x9494,x9492,x9493),x9493),x9492,x9493),f8(f13(x9491,x9494,x9493),x9492,x9493)) % 0.52/0.91 [950]~P5(x9503)+E(f8(f10(f8(x9501,x9502,x9503),f8(x9504,x9502,x9503),x9503),x9502,x9503),f8(f10(x9501,x9504,x9503),x9502,x9503)) % 0.52/0.91 [900]~P13(x9003)+E(f5(f5(x9001,x9002,x9003),f5(x9004,x9005,x9003),x9003),f5(f5(x9001,x9004,x9003),f5(x9002,x9005,x9003),x9003)) % 0.52/0.91 [901]~P13(x9013)+E(f13(f13(x9011,x9012,x9013),f13(x9014,x9015,x9013),x9013),f13(f13(x9011,x9014,x9013),f13(x9012,x9015,x9013),x9013)) % 0.52/0.91 [902]~P14(x9023)+E(f13(f10(x9021,x9022,x9023),f10(x9024,x9025,x9023),x9023),f10(f13(x9021,x9024,x9023),f13(x9022,x9025,x9023),x9023)) % 0.52/0.91 [914]~P21(x9143)+E(f13(f16(x9141,x9142,x9143),f16(x9144,x9145,x9143),f32(x9143)),f16(f13(x9141,x9144,x9143),f13(x9142,x9145,f32(x9143)),x9143)) % 0.52/0.91 [915]~P14(x9153)+E(f10(f16(x9151,x9152,x9153),f16(x9154,x9155,x9153),f32(x9153)),f16(f10(x9151,x9154,x9153),f10(x9152,x9155,f32(x9153)),x9153)) % 0.52/0.91 [961]~P64(x9613)+E(f13(f5(x9611,x9612,x9613),f13(f5(x9614,x9612,x9613),x9615,x9613),x9613),f13(f5(f13(x9611,x9614,x9613),x9612,x9613),x9615,x9613)) % 0.52/0.91 [991]~P37(x9913)+E(f13(f13(f5(f10(x9911,x9912,x9913),f10(x9914,x9915,x9913),x9913),f5(f10(x9911,x9912,x9913),x9915,x9913),x9913),f5(x9912,f10(x9914,x9915,x9913),x9913),x9913),f10(f5(x9911,x9914,x9913),f5(x9912,x9915,x9913),x9913)) % 0.52/0.91 [970]~P61(x9703)+E(f13(f5(x9701,x9702,x9703),f13(f5(f10(x9704,x9701,x9703),x9702,x9703),x9705,x9703),x9703),f13(f5(x9704,x9702,x9703),x9705,x9703)) % 0.52/0.91 [951]E(x9511,x9512)+~E(f20(x9513,x9511,x9514,x9515),f20(x9516,x9512,x9514,x9515)) % 0.52/0.91 [952]E(x9521,x9522)+~E(f20(x9521,x9523,x9524,x9525),f20(x9522,x9526,x9524,x9525)) % 0.52/0.91 [990]~P41(x9904)+E(f13(f5(x9901,f11(f10(x9902,x9903,x9904),x9905,x9904),x9904),f5(f11(f10(x9901,x9906,x9904),x9905,x9904),x9903,x9904),x9904),f11(f10(f5(x9901,x9902,x9904),f5(x9906,x9903,x9904),x9904),x9905,x9904)) % 0.52/0.91 [348]~P11(x3481)+~P12(x3481)+P12(f32(x3481)) % 0.52/0.91 [360]~P42(x3601)+~P66(x3601)+E(f31(f14(x3601),x3601),f6(x3601)) % 0.52/0.91 [359]~P32(x3592)+~E(f15(x3591,x3592),x3591)+E(x3591,f14(x3592)) % 0.52/0.91 [361]~P16(x3612)+~E(f15(x3611,x3612),f14(x3612))+E(x3611,f14(x3612)) % 0.52/0.91 [362]~P33(x3622)+~E(f7(x3621,x3622),f14(x3622))+E(x3621,f14(x3622)) % 0.52/0.91 [363]~P58(x3632)+~E(f12(x3631,x3632),f14(x3632))+E(x3631,f14(x3632)) % 0.52/0.91 [364]~P25(x3642)+~E(f12(x3641,x3642),f14(x3642))+E(x3641,f14(x3642)) % 0.52/0.91 [365]~P16(x3651)+~E(f15(x3652,x3651),f14(x3651))+E(f14(x3651),x3652) % 0.52/0.91 [368]~P42(x3682)+~P66(x3682)+~E(f31(x3681,x3682),f14(x3682)) % 0.52/0.91 [410]~P52(x4102)+E(f11(x4101,x4101,x4102),f6(x4102))+E(x4101,f14(x4102)) % 0.52/0.91 [428]~P51(x4282)+~P3(x4282)+E(f10(x4281,x4281,x4282),f14(x4282)) % 0.52/0.91 [431]~P11(x4312)+~P12(x4312)+P7(x4311,x4311,f32(x4312)) % 0.52/0.91 [442]~P48(x4422)+P8(x4421,f14(x4422),x4422)+E(f7(x4421,x4422),x4421) % 0.52/0.91 [475]~P58(x4751)+P8(f14(x4751),x4752,x4751)+~E(f12(x4752,x4751),f6(x4751)) % 0.52/0.91 [479]~P33(x4792)+P8(f14(x4792),f7(x4791,x4792),x4792)+E(x4791,f14(x4792)) % 0.52/0.91 [483]~P28(x4832)+~E(f13(x4831,x4831,x4832),f14(x4832))+E(x4831,f14(x4832)) % 0.52/0.91 [490]~P13(x4902)+~P10(f14(x4902),x4901,x4902)+E(x4901,f14(x4902)) % 0.52/0.91 [511]~P33(x5112)+~P8(f14(x5112),x5111,x5112)+E(f7(x5111,x5112),x5111) % 0.52/0.91 [521]~P58(x5212)+~P8(f14(x5212),x5211,x5212)+E(f12(x5211,x5212),f6(x5212)) % 0.52/0.91 [527]~P33(x5272)+~P8(x5271,f14(x5272),x5272)+E(f7(x5271,x5272),f15(x5271,x5272)) % 0.52/0.91 [528]~P48(x5282)+~P8(x5281,f14(x5282),x5282)+E(f7(x5281,x5282),f15(x5281,x5282)) % 0.52/0.91 [595]~P58(x5952)+~P8(x5951,f14(x5952),x5952)+P8(x5951,f15(x5951,x5952),x5952) % 0.52/0.91 [606]~P27(x6061)+~P8(x6062,f14(x6061),x6061)+P8(f14(x6061),f15(x6062,x6061),x6061) % 0.52/0.91 [607]~P58(x6071)+~P8(f14(x6071),x6072,x6071)+P8(f14(x6071),f12(x6072,x6071),x6071) % 0.52/0.91 [608]~P58(x6082)+~P8(x6081,f14(x6082),x6082)+P8(f12(x6081,x6082),f14(x6082),x6082) % 0.52/0.91 [609]~P27(x6092)+~P8(f14(x6092),x6091,x6092)+P8(f15(x6091,x6092),f14(x6092),x6092) % 0.52/0.91 [612]~P58(x6122)+~P8(x6121,f15(x6121,x6122),x6122)+P8(x6121,f14(x6122),x6122) % 0.52/0.91 [618]~P27(x6182)+~P8(f14(x6182),f15(x6181,x6182),x6182)+P8(x6181,f14(x6182),x6182) % 0.52/0.91 [619]~P58(x6192)+~P8(f12(x6191,x6192),f14(x6192),x6192)+P8(x6191,f14(x6192),x6192) % 0.52/0.91 [620]~P58(x6201)+~P8(f14(x6201),f12(x6202,x6201),x6201)+P8(f14(x6201),x6202,x6201) % 0.52/0.91 [621]~P27(x6211)+~P8(f15(x6212,x6211),f14(x6211),x6211)+P8(f14(x6211),x6212,x6211) % 0.52/0.91 [677]~P28(x6771)+~P8(f14(x6771),x6772,x6771)+P8(f14(x6771),f13(x6772,x6772,x6771),x6771) % 0.52/0.91 [678]~P58(x6782)+~P8(x6781,f14(x6782),x6782)+P8(f13(x6781,x6781,x6782),f14(x6782),x6782) % 0.52/0.91 [679]~P28(x6792)+~P8(x6791,f14(x6792),x6792)+P8(f13(x6791,x6791,x6792),f14(x6792),x6792) % 0.52/0.91 [740]~P58(x7402)+~P8(f13(x7401,x7401,x7402),f14(x7402),x7402)+P8(x7401,f14(x7402),x7402) % 0.52/0.91 [741]~P28(x7412)+~P8(f13(x7411,x7411,x7412),f14(x7412),x7412)+P8(x7411,f14(x7412),x7412) % 0.52/0.91 [742]~P28(x7421)+~P8(f14(x7421),f13(x7422,x7422,x7421),x7421)+P8(f14(x7421),x7422,x7421) % 0.52/0.91 [432]~P51(x4322)+~P3(x4322)+E(f13(x4321,f14(x4322),x4322),x4321) % 0.52/0.91 [440]~P2(x4402)+~P52(x4402)+E(f11(x4401,f14(x4402),x4402),f14(x4402)) % 0.52/0.91 [522]~P58(x5222)+P8(x5221,f14(x5222),x5222)+~E(f12(x5221,x5222),f15(f6(x5222),x5222)) % 0.52/0.91 [530]~P58(x5302)+~P8(x5301,f14(x5302),x5302)+E(f12(x5301,x5302),f15(f6(x5302),x5302)) % 0.52/0.91 [544]~P11(x5442)+~E(f19(x5441,f18(x5441,x5442),x5442),f14(x5442))+E(x5441,f14(f32(x5442))) % 0.52/0.91 [670]~P58(x6701)+~P6(x6702,x6701)+P8(f14(x6701),f19(x6702,f18(x6702,x6701),x6701),x6701) % 0.52/0.91 [783]~P58(x7832)+P6(x7831,x7832)+~P8(f14(x7832),f19(x7831,f18(x7831,x7832),x7832),x7832) % 0.52/0.91 [454]~P13(x4542)+E(x4541,f14(a33))+E(f19(f6(f32(x4542)),x4541,x4542),f14(x4542)) % 0.52/0.91 [611]~P2(x6111)+~P52(x6111)+E(f11(f5(f14(x6111),x6112,x6111),x6112,x6111),f14(x6111)) % 0.52/0.91 [674]~P58(x6742)+~P8(f14(x6742),x6741,x6742)+P6(f16(x6741,f14(f32(x6742)),x6742),x6742) % 0.52/0.91 [470]~P7(x4701,x4702,x4703)+E(x4701,x4702)+~P12(x4703) % 0.52/0.91 [577]~P8(x5773,x5772,x5771)+~P26(x5771)+~P8(x5772,x5773,x5771) % 0.52/0.91 [578]~P8(x5783,x5782,x5781)+~P38(x5781)+~P8(x5782,x5783,x5781) % 0.52/0.91 [580]~P8(x5803,x5802,x5801)+~P39(x5801)+~P8(x5802,x5803,x5801) % 0.52/0.91 [374]~P16(x3743)+E(x3741,x3742)+~E(f15(x3741,x3743),f15(x3742,x3743)) % 0.52/0.91 [375]~P15(x3753)+E(x3751,x3752)+~E(f15(x3751,x3753),f15(x3752,x3753)) % 0.52/0.91 [481]~P14(x4813)+E(x4811,x4812)+~E(f10(x4811,x4812,x4813),f14(x4813)) % 0.52/0.91 [482]~P16(x4823)+E(x4821,x4822)+~E(f10(x4821,x4822,x4823),f14(x4823)) % 0.52/0.91 [485]~P58(x4853)+P10(x4851,x4852,x4853)+~E(f7(x4851,x4853),f7(x4852,x4853)) % 0.52/0.91 [503]~P16(x5033)+~E(f13(x5031,x5032,x5033),f14(x5033))+E(x5031,f15(x5032,x5033)) % 0.52/0.91 [504]~P16(x5042)+~E(f13(x5041,x5043,x5042),f14(x5042))+E(f15(x5041,x5042),x5043) % 0.52/0.91 [543]~P58(x5433)+~P6(x5432,x5433)+P6(f16(x5431,x5432,x5433),x5433) % 0.52/0.91 [545]~P4(x5453)+~P10(x5452,x5451,x5453)+E(f8(x5451,x5452,x5453),f14(x5453)) % 0.52/0.91 [548]~P4(x5483)+P10(x5481,x5482,x5483)+~E(f8(x5482,x5481,x5483),f14(x5483)) % 0.52/0.91 [567]~P50(x5673)+~P10(x5671,x5672,x5673)+P10(x5671,f15(x5672,x5673),x5673) % 0.52/0.91 [568]~P58(x5683)+~P10(x5681,x5682,x5683)+P10(x5681,f7(x5682,x5683),x5683) % 0.52/0.91 [569]~P50(x5692)+~P10(x5691,x5693,x5692)+P10(f15(x5691,x5692),x5693,x5692) % 0.52/0.91 [570]~P58(x5702)+~P10(x5701,x5703,x5702)+P10(f7(x5701,x5702),x5703,x5702) % 0.52/0.91 [600]~P58(x6003)+P10(x6001,x6002,x6003)+~P10(x6001,f7(x6002,x6003),x6003) % 0.52/0.91 [601]~P50(x6013)+P10(x6011,x6012,x6013)+~P10(x6011,f15(x6012,x6013),x6013) % 0.52/0.91 [602]~P58(x6023)+P8(x6021,x6022,x6023)+~P8(f7(x6021,x6023),x6022,x6023) % 0.52/0.91 [603]~P58(x6033)+P10(x6031,x6032,x6033)+~P10(f7(x6031,x6033),x6032,x6033) % 0.52/0.91 [604]~P50(x6043)+P10(x6041,x6042,x6043)+~P10(f15(x6041,x6043),x6042,x6043) % 0.52/0.91 [617]~P27(x6172)+~P8(x6173,x6171,x6172)+P8(f15(x6171,x6172),f15(x6173,x6172),x6172) % 0.52/0.91 [637]~P27(x6373)+~P8(x6372,f15(x6371,x6373),x6373)+P8(x6371,f15(x6372,x6373),x6373) % 0.52/0.91 [638]~P58(x6382)+~P8(f7(x6381,x6382),x6383,x6382)+P8(f15(x6381,x6382),x6383,x6382) % 0.52/0.91 [640]~P27(x6402)+~P8(f15(x6403,x6402),x6401,x6402)+P8(f15(x6401,x6402),x6403,x6402) % 0.52/0.91 [652]~P27(x6523)+P8(x6521,x6522,x6523)+~P8(f15(x6522,x6523),f15(x6521,x6523),x6523) % 0.52/0.91 [675]~P27(x6753)+~P8(x6751,x6752,x6753)+P8(f10(x6751,x6752,x6753),f14(x6753),x6753) % 0.52/0.91 [702]~P27(x7023)+P8(x7021,x7022,x7023)+~P8(f10(x7021,x7022,x7023),f14(x7023),x7023) % 0.52/0.91 [478]~P46(x4783)+~E(f18(x4781,x4783),f14(a33))+E(f27(x4781,x4782,x4783),f14(f32(x4783))) % 0.52/0.91 [500]~P11(x5002)+E(x5001,f14(x5002))+~E(f16(x5001,x5003,x5002),f14(f32(x5002))) % 0.52/0.91 [501]~P11(x5012)+E(x5011,f14(x5012))+~E(f21(x5011,x5013,x5012),f14(f32(x5012))) % 0.52/0.91 [517]~P11(x5172)+~E(f16(x5173,x5171,x5172),f14(f32(x5172)))+E(x5171,f14(f32(x5172))) % 0.52/0.91 [518]~P52(x5182)+~E(f26(x5183,x5181,x5182),f14(f32(x5182)))+E(x5181,f14(f32(x5182))) % 0.52/0.91 [519]~P52(x5192)+~E(f26(x5191,x5193,x5192),f14(f32(x5192)))+E(x5191,f14(f32(x5192))) % 0.52/0.91 [520]~P46(x5202)+~E(f9(x5201,x5203,x5202),f14(f32(x5202)))+E(x5201,f14(f32(x5202))) % 0.52/0.91 [523]~P46(x5232)+E(f18(x5231,x5232),f14(a33))+~E(f27(x5231,x5233,x5232),f14(f32(x5232))) % 0.52/0.91 [529]~P11(x5292)+E(x5291,f14(x5292))+E(f18(f21(x5291,x5293,x5292),x5292),x5293) % 0.52/0.91 [542]~P51(x5422)+E(x5421,f14(x5422))+E(f18(f25(x5421,x5423,x5422),x5422),f18(x5423,x5422)) % 0.52/0.91 [562]~P11(x5622)+E(f18(f16(x5623,x5621,x5622),x5622),f29(f18(x5621,x5622)))+E(x5621,f14(f32(x5622))) % 0.52/0.91 [566]~P52(x5662)+E(x5661,f14(x5662))+E(f11(f15(x5663,x5662),f15(x5661,x5662),x5662),f11(x5663,x5661,x5662)) % 0.52/0.91 [575]~P52(x5752)+E(x5751,f14(x5752))+E(f11(f5(x5753,x5751,x5752),x5751,x5752),x5753) % 0.52/0.91 [576]~P2(x5762)+~P52(x5762)+E(f11(f15(x5761,x5762),f15(x5763,x5762),x5762),f11(x5761,x5763,x5762)) % 0.52/0.91 [633]~P52(x6332)+E(x6331,f14(x6332))+E(f11(x6333,f15(x6331,x6332),x6332),f15(f11(x6333,x6331,x6332),x6332)) % 0.52/0.91 [641]~P2(x6413)+~P52(x6413)+E(f11(x6411,f15(x6412,x6413),x6413),f15(f11(x6411,x6412,x6413),x6413)) % 0.52/0.91 [663]~P1(x6632)+E(x6631,f14(x6632))+E(f11(f7(x6633,x6632),f7(x6631,x6632),x6632),f7(f11(x6633,x6631,x6632),x6632)) % 0.52/0.91 [664]~P1(x6642)+~P2(x6642)+E(f11(f7(x6641,x6642),f7(x6643,x6642),x6642),f7(f11(x6641,x6643,x6642),x6642)) % 0.52/0.91 [666]~P42(x6662)+~P66(x6662)+E(f11(f31(x6661,x6662),f31(x6663,x6662),x6662),f31(f10(x6661,x6663,x6662),x6662)) % 0.52/0.91 [667]~P42(x6672)+~P66(x6672)+E(f5(f31(x6671,x6672),f31(x6673,x6672),x6672),f31(f13(x6671,x6673,x6672),x6672)) % 0.52/0.91 [694]~P52(x6942)+~P10(f25(f14(x6942),x6943,x6942),x6941,f32(x6942))+E(x6941,f14(f32(x6942))) % 0.52/0.91 [699]~P52(x6993)+~P10(x6992,f14(f32(x6993)),f32(x6993))+P10(f25(x6991,x6992,x6993),f14(f32(x6993)),f32(x6993)) % 0.52/0.91 [841]~P57(x8412)+E(x8411,f14(x8412))+~E(f13(f5(x8413,x8413,x8412),f5(x8411,x8411,x8412),x8412),f14(x8412)) % 0.52/0.91 [842]~P57(x8422)+E(x8421,f14(x8422))+~E(f13(f5(x8421,x8421,x8422),f5(x8423,x8423,x8422),x8422),f14(x8422)) % 0.52/0.91 [927]~P57(x9272)+E(x9271,f14(x9272))+P8(f14(x9272),f13(f5(x9273,x9273,x9272),f5(x9271,x9271,x9272),x9272),x9272) % 0.52/0.91 [928]~P57(x9282)+E(x9281,f14(x9282))+P8(f14(x9282),f13(f5(x9281,x9281,x9282),f5(x9283,x9283,x9282),x9282),x9282) % 0.52/0.91 [976]~P52(x9762)+P9(f13(f5(x9763,x9761,f32(x9762)),f14(f32(x9762)),f32(x9762)),x9761,x9763,f14(f32(x9762)),x9762)+E(x9761,f14(f32(x9762))) % 0.52/0.91 [811]~P52(x8112)+E(x8111,f14(f32(x8112)))+E(f19(f26(x8113,x8111,x8112),f18(f26(x8113,x8111,x8112),x8112),x8112),f6(x8112)) % 0.52/0.91 [812]~P52(x8122)+E(x8121,f14(f32(x8122)))+E(f19(f26(x8121,x8123,x8122),f18(f26(x8121,x8123,x8122),x8122),x8122),f6(x8122)) % 0.52/0.91 [946]~P1(x9463)+~P8(x9461,x9462,x9463)+P8(x9461,f11(f13(x9461,x9462,x9463),f13(f6(x9463),f6(x9463),x9463),x9463),x9463) % 0.52/0.91 [947]~P1(x9473)+~P8(x9471,x9472,x9473)+P8(f11(f13(x9471,x9472,x9473),f13(f6(x9473),f6(x9473),x9473),x9473),x9472,x9473) % 0.52/0.91 [929]~P51(x9292)+~E(f4(x9293,f15(x9291,x9292),x9292),f14(x9292))+P10(f16(x9291,f16(f6(x9292),f14(f32(x9292)),x9292),x9292),x9293,f32(x9292)) % 0.52/0.91 [930]~P51(x9302)+~E(f4(x9303,x9301,x9302),f14(x9302))+P10(f16(f15(x9301,x9302),f16(f6(x9302),f14(f32(x9302)),x9302),x9302),x9303,f32(x9302)) % 0.52/0.91 [958]~P51(x9583)+E(f4(x9581,f15(x9582,x9583),x9583),f14(x9583))+~P10(f16(x9582,f16(f6(x9583),f14(f32(x9583)),x9583),x9583),x9581,f32(x9583)) % 0.52/0.91 [965]~P51(x9653)+E(f4(x9651,x9652,x9653),f14(x9653))+~P10(f16(f15(x9652,x9653),f16(f6(x9653),f14(f32(x9653)),x9653),x9653),x9651,f32(x9653)) % 0.52/0.91 [582]~P22(x5824)+E(x5821,x5822)+~E(f13(x5823,x5821,x5824),f13(x5823,x5822,x5824)) % 0.52/0.91 [583]~P23(x5834)+E(x5831,x5832)+~E(f13(x5833,x5831,x5834),f13(x5833,x5832,x5834)) % 0.52/0.91 [584]~P14(x5844)+E(x5841,x5842)+~E(f10(x5843,x5843,x5844),f10(x5841,x5842,x5844)) % 0.52/0.91 [585]~P23(x5854)+E(x5851,x5852)+~E(f13(x5851,x5853,x5854),f13(x5852,x5853,x5854)) % 0.52/0.91 [587]~P11(x5874)+E(x5871,x5872)+~E(f21(x5871,x5873,x5874),f21(x5872,x5873,x5874)) % 0.52/0.91 [588]~P14(x5883)+E(x5881,x5882)+~E(f10(x5881,x5882,x5883),f10(x5884,x5884,x5883)) % 0.52/0.91 [672]~P13(x6724)+~P10(x6721,x6723,x6724)+P10(x6721,f5(x6722,x6723,x6724),x6724) % 0.52/0.91 [673]~P13(x6734)+~P10(x6731,x6732,x6734)+P10(x6731,f5(x6732,x6733,x6734),x6734) % 0.52/0.91 [676]~P13(x6764)+~P10(x6761,x6763,f32(x6764))+P10(x6761,f25(x6762,x6763,x6764),f32(x6764)) % 0.52/0.91 [697]~P13(x6973)+P10(x6971,x6972,x6973)+~P10(f5(x6974,x6971,x6973),x6972,x6973) % 0.52/0.91 [698]~P13(x6983)+P10(x6981,x6982,x6983)+~P10(f5(x6981,x6984,x6983),x6982,x6983) % 0.52/0.91 [737]~P52(x7373)+~P10(x7371,f26(x7374,x7372,x7373),f32(x7373))+P10(x7371,x7372,f32(x7373)) % 0.52/0.91 [738]~P52(x7383)+~P10(x7381,f26(x7382,x7384,x7383),f32(x7383))+P10(x7381,x7382,f32(x7383)) % 0.52/0.91 [739]~P13(x7393)+~P10(f25(x7394,x7391,x7393),x7392,f32(x7393))+P10(x7391,x7392,f32(x7393)) % 0.52/0.91 [763]~P35(x7633)+~P8(x7631,x7634,x7633)+P8(f13(x7631,x7632,x7633),f13(x7634,x7632,x7633),x7633) % 0.52/0.91 [764]~P36(x7643)+~P8(x7641,x7644,x7643)+P8(f13(x7641,x7642,x7643),f13(x7644,x7642,x7643),x7643) % 0.52/0.91 [765]~P35(x7653)+~P8(x7652,x7654,x7653)+P8(f13(x7651,x7652,x7653),f13(x7651,x7654,x7653),x7653) % 0.52/0.91 [766]~P36(x7663)+~P8(x7662,x7664,x7663)+P8(f13(x7661,x7662,x7663),f13(x7661,x7664,x7663),x7663) % 0.52/0.91 [767]~P51(x7673)+~P10(x7671,x7674,x7673)+P10(f5(x7671,x7672,x7673),f5(x7674,x7672,x7673),x7673) % 0.52/0.91 [768]~P51(x7683)+~P10(x7682,x7684,x7683)+P10(f5(x7681,x7682,x7683),f5(x7681,x7684,x7683),x7683) % 0.52/0.91 [874]~P36(x8743)+P8(x8741,x8742,x8743)+~P8(f13(x8744,x8741,x8743),f13(x8744,x8742,x8743),x8743) % 0.52/0.91 [875]~P36(x8753)+P8(x8751,x8752,x8753)+~P8(f13(x8751,x8754,x8753),f13(x8752,x8754,x8753),x8753) % 0.52/0.91 [573]~P11(x5734)+E(x5731,x5732)+E(f19(f21(x5733,x5731,x5734),x5732,x5734),f14(x5734)) % 0.52/0.91 [605]~P46(x6052)+~E(f16(x6053,x6051,x6052),f25(x6054,x6051,x6052))+E(x6051,f14(f32(x6052))) % 0.52/0.91 [685]~P14(x6853)+E(x6851,f15(x6852,x6853))+~E(f13(x6851,f13(x6854,x6852,x6853),x6853),x6854) % 0.52/0.91 [695]~P4(x6953)+~P10(x6954,x6952,x6953)+E(f8(f8(x6951,x6952,x6953),x6954,x6953),f8(x6951,x6954,x6953)) % 0.52/0.91 [743]~P2(x7433)+~P52(x7433)+E(f11(f5(x7431,x7432,x7433),x7434,x7433),f5(f11(x7431,x7434,x7433),x7432,x7433)) % 0.52/0.91 [748]~P5(x7482)+~E(f8(x7481,x7483,x7482),f8(x7484,x7483,x7482))+E(f8(f15(x7481,x7482),x7483,x7482),f8(f15(x7484,x7482),x7483,x7482)) % 0.52/0.91 [872]~P46(x8722)+~E(f13(f25(x8723,x8721,x8722),f16(x8724,x8721,x8722),f32(x8722)),f14(f32(x8722)))+E(x8721,f14(f32(x8722))) % 0.52/0.91 [909]~P51(x9093)+~P3(x9093)+E(f13(f5(x9091,x9092,x9093),f5(x9091,x9094,x9093),x9093),f13(f5(x9091,x9094,x9093),f5(x9091,x9092,x9093),x9093)) % 0.52/0.91 [931]~P58(x9314)+P8(x9311,f13(x9312,x9313,x9314),x9314)+~P8(f7(f10(x9311,x9312,x9314),x9314),x9313,x9314) % 0.52/0.91 [932]~P58(x9323)+P8(f10(x9321,x9322,x9323),x9324,x9323)+~P8(f7(f10(x9324,x9321,x9323),x9323),x9322,x9323) % 0.52/0.91 [982]E(x9821,x9822)+~P52(x9823)+~P9(x9822,f14(f32(x9823)),x9824,x9821,x9823) % 0.52/0.91 [984]~P52(x9842)+~P9(x9843,f14(f32(x9842)),x9841,x9844,x9842)+E(x9841,f14(f32(x9842))) % 0.52/0.91 [985]~P52(x9852)+~P9(f14(f32(x9852)),x9853,x9854,x9851,x9852)+E(x9851,f14(f32(x9852))) % 0.52/0.91 [986]~P52(x9862)+~P9(f14(f32(x9862)),x9863,x9861,x9864,x9862)+E(x9861,f14(f32(x9862))) % 0.52/0.91 [581]~P11(x5814)+E(x5811,x5812)+~E(f16(x5813,x5811,x5814),f16(x5815,x5812,x5814)) % 0.52/0.91 [586]~P11(x5864)+E(x5861,x5862)+~E(f16(x5861,x5863,x5864),f16(x5862,x5865,x5864)) % 0.52/0.91 [804]~P14(x8043)+E(f13(x8041,x8042,x8043),x8044)+~E(f13(x8041,f13(x8045,x8042,x8043),x8043),f13(x8045,x8044,x8043)) % 0.52/0.91 [807]~P46(x8074)+E(x8071,f4(x8072,x8073,x8074))+~E(f13(x8072,f25(x8073,x8075,x8074),f32(x8074)),f16(x8071,x8075,x8074)) % 0.52/0.91 [808]~P46(x8084)+E(x8081,f27(x8082,x8083,x8084))+~E(f13(x8082,f25(x8083,x8081,x8084),f32(x8084)),f16(x8085,x8081,x8084)) % 0.52/0.91 [907]~P2(x9073)+~P52(x9073)+E(f11(f5(x9071,x9072,x9073),f5(x9074,x9075,x9073),x9073),f5(f11(x9071,x9074,x9073),f11(x9072,x9075,x9073),x9073)) % 0.52/0.91 [989]~P52(x9894)+~P9(x9891,x9893,x9892,x9895,x9894)+E(x9891,f13(f5(x9892,x9893,f32(x9894)),x9895,f32(x9894))) % 0.52/0.91 [992]~P52(x9923)+~P9(x9922,x9924,x9925,x9926,x9923)+P9(f25(x9921,x9922,x9923),x9924,f25(x9921,x9925,x9923),f25(x9921,x9926,x9923),x9923) % 0.52/0.91 [963]~P61(x9634)+~E(f13(f5(x9633,x9635,x9634),x9631,x9634),f13(f5(x9632,x9635,x9634),x9636,x9634))+E(x9631,f13(f5(f10(x9632,x9633,x9634),x9635,x9634),x9636,x9634)) % 0.52/0.91 [964]~P61(x9643)+~E(f13(f5(x9641,x9644,x9643),x9645,x9643),f13(f5(x9642,x9644,x9643),x9646,x9643))+E(f13(f5(f10(x9641,x9642,x9643),x9644,x9643),x9645,x9643),x9646) % 0.52/0.91 [980]~P62(x9804)+~P8(f13(f5(x9803,x9805,x9804),x9801,x9804),f13(f5(x9802,x9805,x9804),x9806,x9804),x9804)+P8(x9801,f13(f5(f10(x9802,x9803,x9804),x9805,x9804),x9806,x9804),x9804) % 0.52/0.91 [981]~P62(x9813)+~P8(f13(f5(x9811,x9814,x9813),x9815,x9813),f13(f5(x9812,x9814,x9813),x9816,x9813),x9813)+P8(f13(f5(f10(x9811,x9812,x9813),x9814,x9813),x9815,x9813),x9816,x9813) % 0.52/0.91 [987]~P62(x9873)+P8(f13(f5(x9871,x9872,x9873),x9874,x9873),f13(f5(x9875,x9872,x9873),x9876,x9873),x9873)+~P8(x9874,f13(f5(f10(x9875,x9871,x9873),x9872,x9873),x9876,x9873),x9873) % 0.52/0.91 [988]~P62(x9883)+P8(f13(f5(x9881,x9882,x9883),x9884,x9883),f13(f5(x9885,x9882,x9883),x9886,x9883),x9883)+~P8(f13(f5(f10(x9881,x9885,x9883),x9882,x9883),x9884,x9883),x9886,x9883) % 0.52/0.91 [462]~P26(x4622)+~P29(x4622)+P8(x4621,f14(x4622),x4622)+E(f7(x4621,x4622),x4621) % 0.52/0.91 [525]~P63(x5252)+~P8(f14(x5252),x5251,x5252)+E(f12(x5251,x5252),f6(x5252))+E(x5251,f14(x5252)) % 0.52/0.91 [532]~P26(x5322)+~P29(x5322)+~P8(x5321,f14(x5322),x5322)+E(f7(x5321,x5322),f15(x5321,x5322)) % 0.52/0.91 [448]P6(x4481,x4482)+~P58(x4482)+P6(f15(x4481,f32(x4482)),x4482)+E(x4481,f14(f32(x4482))) % 0.52/0.91 [489]~P63(x4892)+P8(f14(x4892),x4891,x4892)+E(x4891,f14(x4892))+E(f12(x4891,x4892),f15(f6(x4892),x4892)) % 0.52/0.91 [687]~P1(x6871)+~P2(x6871)+~P8(f14(x6871),x6872,x6871)+P8(f14(x6871),f11(f6(x6871),x6872,x6871),x6871) % 0.52/0.91 [688]~P1(x6881)+~P2(x6881)+~P8(x6882,f14(x6881),x6881)+P8(f11(f6(x6881),x6882,x6881),f14(x6881),x6881) % 0.52/0.91 [761]~P1(x7612)+~P2(x7612)+P8(x7611,f14(x7612),x7612)+~P8(f11(f6(x7612),x7611,x7612),f14(x7612),x7612) % 0.52/0.91 [762]~P1(x7621)+~P2(x7621)+P8(f14(x7621),x7622,x7621)+~P8(f14(x7621),f11(f6(x7621),x7622,x7621),x7621) % 0.52/0.91 [512]P8(x5121,x5122,x5123)+~P58(x5123)+E(x5121,x5122)+P8(x5122,x5121,x5123) % 0.52/0.91 [516]P8(x5161,x5162,x5163)+~P26(x5163)+E(x5161,x5162)+P8(x5162,x5161,x5163) % 0.52/0.91 [487]~P52(x4873)+E(x4871,x4872)+~E(f11(x4871,x4872,x4873),f6(x4873))+E(x4872,f14(x4873)) % 0.52/0.91 [488]~P51(x4882)+~P3(x4882)+~E(f13(x4883,x4881,x4882),x4883)+E(x4881,f14(x4882)) % 0.52/0.91 [492]~P51(x4923)+~P3(x4923)+E(x4921,x4922)+~E(f10(x4921,x4922,x4923),f14(x4923)) % 0.52/0.91 [493]~P65(x4932)+~E(f5(x4933,x4931,x4932),f14(x4932))+E(x4931,f14(x4932))+E(x4933,f14(x4932)) % 0.52/0.91 [495]~P56(x4952)+~E(f5(x4953,x4951,x4952),f14(x4952))+E(x4951,f14(x4952))+E(x4953,f14(x4952)) % 0.52/0.91 [497]~P12(x4973)+E(x4971,x4972)+~P11(x4973)+~P7(x4971,x4972,f32(x4973)) % 0.52/0.91 [615]~P51(x6153)+E(x6151,x6152)+~E(f5(x6151,x6151,x6153),f5(x6152,x6152,x6153))+E(x6151,f15(x6152,x6153)) % 0.52/0.91 [681]~P58(x6812)+P6(x6811,x6812)+P8(f14(x6812),x6813,x6812)+~P6(f16(x6813,x6811,x6812),x6812) % 0.52/0.91 [693]~P58(x6932)+~P8(x6931,x6933,x6932)+~P8(f15(x6931,x6932),x6933,x6932)+P8(f7(x6931,x6932),x6933,x6932) % 0.52/0.91 [771]~P57(x7711)+~P8(x7713,f14(x7711),x7711)+~P8(x7712,f14(x7711),x7711)+P8(f14(x7711),f5(x7712,x7713,x7711),x7711) % 0.52/0.91 [772]~P1(x7721)+~P8(x7723,f14(x7721),x7721)+~P8(x7722,f14(x7721),x7721)+P8(f14(x7721),f11(x7722,x7723,x7721),x7721) % 0.52/0.91 [773]~P60(x7731)+~P8(f14(x7731),x7733,x7731)+~P8(f14(x7731),x7732,x7731)+P8(f14(x7731),f5(x7732,x7733,x7731),x7731) % 0.52/0.91 [774]~P1(x7741)+~P8(f14(x7741),x7743,x7741)+~P8(f14(x7741),x7742,x7741)+P8(f14(x7741),f11(x7742,x7743,x7741),x7741) % 0.52/0.91 [775]~P34(x7751)+~P8(f14(x7751),x7753,x7751)+~P8(f14(x7751),x7752,x7751)+P8(f14(x7751),f13(x7752,x7753,x7751),x7751) % 0.52/0.91 [776]~P59(x7761)+~P8(f6(x7761),x7763,x7761)+~P8(f6(x7761),x7762,x7761)+P8(f6(x7761),f5(x7762,x7763,x7761),x7761) % 0.52/0.91 [777]~P34(x7773)+~P8(x7772,f14(x7773),x7773)+~P8(x7771,f14(x7773),x7773)+P8(f13(x7771,x7772,x7773),f14(x7773),x7773) % 0.52/0.91 [778]~P60(x7783)+~P8(x7782,f14(x7783),x7783)+~P8(f14(x7783),x7781,x7783)+P8(f5(x7781,x7782,x7783),f14(x7783),x7783) % 0.52/0.91 [780]~P60(x7803)+~P8(x7801,f14(x7803),x7803)+~P8(f14(x7803),x7802,x7803)+P8(f5(x7801,x7802,x7803),f14(x7803),x7803) % 0.52/0.91 [781]~P1(x7813)+~P8(x7812,f14(x7813),x7813)+~P8(f14(x7813),x7811,x7813)+P8(f11(x7811,x7812,x7813),f14(x7813),x7813) % 0.52/0.91 [782]~P1(x7823)+~P8(x7821,f14(x7823),x7823)+~P8(f14(x7823),x7822,x7823)+P8(f11(x7821,x7822,x7823),f14(x7823),x7823) % 0.52/0.91 [813]~P60(x8131)+~P8(f14(x8131),f5(x8133,x8132,x8131),x8131)+P8(f14(x8131),x8132,x8131)+~P8(f14(x8131),x8133,x8131) % 0.52/0.91 [814]~P60(x8141)+~P8(f14(x8141),f5(x8142,x8143,x8141),x8141)+P8(f14(x8141),x8142,x8141)+~P8(f14(x8141),x8143,x8141) % 0.52/0.91 [524]~P51(x5242)+E(x5241,f14(x5242))+~E(f25(x5241,x5243,x5242),f14(f32(x5242)))+E(x5243,f14(f32(x5242))) % 0.52/0.91 [592]~P2(x5922)+~P52(x5922)+E(x5921,f14(x5922))+E(f5(f11(x5923,x5921,x5922),x5921,x5922),x5923) % 0.52/0.91 [597]~P58(x5973)+~P6(x5972,x5973)+~P6(x5971,x5973)+P6(f5(x5971,x5972,f32(x5973)),x5973) % 0.52/0.91 [598]~P58(x5983)+~P6(x5982,x5983)+~P6(x5981,x5983)+P6(f13(x5981,x5982,f32(x5983)),x5983) % 0.52/0.91 [649]P6(x6491,x6492)+~P58(x6492)+~P6(f16(x6493,x6491,x6492),x6492)+E(x6491,f14(f32(x6492))) % 0.52/0.91 [696]~P1(x6962)+~P2(x6962)+~P8(f14(x6962),x6963,x6962)+E(f11(f7(x6961,x6962),x6963,x6962),f7(f11(x6961,x6963,x6962),x6962)) % 0.52/0.91 [784]~P11(x7842)+~P12(x7842)+P7(x7841,f14(x7842),x7842)+~P7(f16(x7841,x7843,x7842),f14(f32(x7842)),f32(x7842)) % 0.52/0.91 [785]~P11(x7851)+~P12(x7851)+P7(f14(x7851),x7852,x7851)+~P7(f14(f32(x7851)),f16(x7852,x7853,x7851),f32(x7851)) % 0.52/0.91 [792]~P11(x7922)+~P12(x7922)+~P7(f16(x7923,x7921,x7922),f14(f32(x7922)),f32(x7922))+P7(x7921,f14(f32(x7922)),f32(x7922)) % 0.52/0.91 [793]~P11(x7931)+~P12(x7931)+~P7(f14(f32(x7931)),f16(x7933,x7932,x7931),f32(x7931))+P7(f14(f32(x7931)),x7932,f32(x7931)) % 0.52/0.91 [659]~P38(x6593)+~P8(x6591,x6594,x6593)+P8(x6591,x6592,x6593)+~P8(x6594,x6592,x6593) % 0.52/0.91 [660]~P39(x6603)+~P8(x6601,x6604,x6603)+P8(x6601,x6602,x6603)+~P8(x6604,x6602,x6603) % 0.52/0.91 [661]~P13(x6613)+~P10(x6611,x6614,x6613)+P10(x6611,x6612,x6613)+~P10(x6614,x6612,x6613) % 0.52/0.91 [596]~P45(x5964)+E(x5961,x5962)+~E(f30(x5961,x5963,x5964),f30(x5962,x5963,x5964))+E(x5963,f14(x5964)) % 0.52/0.91 [599]~P51(x5994)+~P3(x5994)+E(x5991,x5992)+~E(f13(x5993,x5991,x5994),f13(x5993,x5992,x5994)) % 0.52/0.91 [682]~P52(x6822)+~P10(x6823,x6824,f32(x6822))+P10(x6823,f25(x6821,x6824,x6822),f32(x6822))+E(x6821,f14(x6822)) % 0.52/0.91 [684]~P52(x6842)+~P10(x6843,x6844,f32(x6842))+P10(f25(x6841,x6843,x6842),x6844,f32(x6842))+E(x6841,f14(x6842)) % 0.52/0.91 [745]~P52(x7452)+~P10(x7453,f25(x7451,x7454,x7452),f32(x7452))+P10(x7453,x7454,f32(x7452))+E(x7451,f14(x7452)) % 0.52/0.91 [746]~P52(x7462)+~P10(f25(x7461,x7463,x7462),x7464,f32(x7462))+P10(x7463,x7464,f32(x7462))+E(x7461,f14(x7462)) % 0.52/0.91 [749]~P13(x7494)+~P10(x7491,x7493,x7494)+~P10(x7491,x7492,x7494)+P10(x7491,f13(x7492,x7493,x7494),x7494) % 0.52/0.91 [751]~P4(x7514)+~P10(x7511,x7513,x7514)+~P10(x7511,x7512,x7514)+P10(x7511,f8(x7512,x7513,x7514),x7514) % 0.52/0.91 [752]~P50(x7524)+~P10(x7521,x7523,x7524)+~P10(x7521,x7522,x7524)+P10(x7521,f10(x7522,x7523,x7524),x7524) % 0.52/0.91 [759]~P59(x7594)+~P8(x7591,x7593,x7594)+~P8(f14(x7594),x7592,x7594)+P8(x7591,f13(x7592,x7593,x7594),x7594) % 0.52/0.91 [770]~P52(x7704)+~P10(x7701,x7703,f32(x7704))+~P10(x7701,x7702,f32(x7704))+P10(x7701,f26(x7702,x7703,x7704),f32(x7704)) % 0.52/0.91 [806]~P4(x8063)+P10(x8061,x8062,x8063)+~P10(x8061,x8064,x8063)+~P10(x8061,f8(x8062,x8064,x8063),x8063) % 0.52/0.91 [860]~P57(x8603)+~P8(x8604,x8601,x8603)+~P8(x8602,f14(x8603),x8603)+P8(f5(x8601,x8602,x8603),f5(x8604,x8602,x8603),x8603) % 0.52/0.91 [863]~P57(x8633)+~P8(x8634,x8632,x8633)+~P8(x8631,f14(x8633),x8633)+P8(f5(x8631,x8632,x8633),f5(x8631,x8634,x8633),x8633) % 0.52/0.91 [864]~P1(x8643)+~P8(x8644,x8641,x8643)+~P8(x8642,f14(x8643),x8643)+P8(f11(x8641,x8642,x8643),f11(x8644,x8642,x8643),x8643) % 0.52/0.91 [865]~P57(x8653)+~P8(x8651,x8654,x8653)+~P8(f14(x8653),x8652,x8653)+P8(f5(x8651,x8652,x8653),f5(x8654,x8652,x8653),x8653) % 0.52/0.91 [866]~P60(x8663)+~P8(x8661,x8664,x8663)+~P8(f14(x8663),x8662,x8663)+P8(f5(x8661,x8662,x8663),f5(x8664,x8662,x8663),x8663) % 0.52/0.91 [868]~P57(x8683)+~P8(x8682,x8684,x8683)+~P8(f14(x8683),x8681,x8683)+P8(f5(x8681,x8682,x8683),f5(x8681,x8684,x8683),x8683) % 0.52/0.91 [869]~P60(x8693)+~P8(x8692,x8694,x8693)+~P8(f14(x8693),x8691,x8693)+P8(f5(x8691,x8692,x8693),f5(x8691,x8694,x8693),x8693) % 0.52/0.91 [870]~P54(x8703)+~P8(x8702,x8704,x8703)+~P8(f14(x8703),x8701,x8703)+P8(f5(x8701,x8702,x8703),f5(x8701,x8704,x8703),x8703) % 0.52/0.91 [871]~P1(x8713)+~P8(x8711,x8714,x8713)+~P8(f14(x8713),x8712,x8713)+P8(f11(x8711,x8712,x8713),f11(x8714,x8712,x8713),x8713) % 0.52/0.91 [877]~P51(x8772)+P10(x8773,x8774,x8772)+~P10(f5(x8771,x8773,x8772),f5(x8771,x8774,x8772),x8772)+E(x8771,f14(x8772)) % 0.52/0.91 [878]~P51(x8782)+P10(x8783,x8784,x8782)+~P10(f5(x8783,x8781,x8782),f5(x8784,x8781,x8782),x8782)+E(x8781,f14(x8782)) % 0.52/0.91 [881]~P1(x8814)+~P8(f14(x8814),x8813,x8814)+~P8(f5(x8811,x8813,x8814),x8812,x8814)+P8(x8811,f11(x8812,x8813,x8814),x8814) % 0.52/0.91 [882]~P1(x8823)+~P8(f14(x8823),x8822,x8823)+~P8(x8821,f5(x8824,x8822,x8823),x8823)+P8(f11(x8821,x8822,x8823),x8824,x8823) % 0.52/0.91 [888]P8(x8882,x8881,x8883)+~P57(x8883)+P8(x8881,x8882,x8883)+~P8(f5(x8884,x8881,x8883),f5(x8884,x8882,x8883),x8883) % 0.52/0.91 [889]P8(x8892,x8891,x8893)+~P57(x8893)+P8(x8891,x8892,x8893)+~P8(f5(x8891,x8894,x8893),f5(x8892,x8894,x8893),x8893) % 0.52/0.91 [903]~P57(x9033)+P8(x9031,x9032,x9033)+~P8(f5(x9031,x9034,x9033),f5(x9032,x9034,x9033),x9033)+P8(x9034,f14(x9033),x9033) % 0.52/0.91 [904]~P57(x9043)+P8(x9041,x9042,x9043)+~P8(f5(x9044,x9041,x9043),f5(x9044,x9042,x9043),x9043)+P8(x9044,f14(x9043),x9043) % 0.52/0.91 [905]~P57(x9053)+P8(x9051,x9052,x9053)+~P8(f5(x9054,x9052,x9053),f5(x9054,x9051,x9053),x9053)+P8(f14(x9053),x9054,x9053) % 0.52/0.91 [906]~P57(x9063)+P8(x9061,x9062,x9063)+~P8(f5(x9062,x9064,x9063),f5(x9061,x9064,x9063),x9063)+P8(f14(x9063),x9064,x9063) % 0.52/0.91 [910]~P57(x9102)+~P8(f5(x9103,x9101,x9102),f5(x9104,x9101,x9102),x9102)+P8(x9101,f14(x9102),x9102)+P8(f14(x9102),x9101,x9102) % 0.52/0.91 [911]~P57(x9112)+~P8(f5(x9111,x9113,x9112),f5(x9111,x9114,x9112),x9112)+P8(x9111,f14(x9112),x9112)+P8(f14(x9112),x9111,x9112) % 0.52/0.91 [917]~P57(x9173)+P8(x9171,x9172,x9173)+~P8(f5(x9174,x9172,x9173),f5(x9174,x9171,x9173),x9173)+~P8(x9174,f14(x9173),x9173) % 0.52/0.91 [918]~P57(x9183)+P8(x9181,x9182,x9183)+~P8(f5(x9184,x9181,x9183),f5(x9184,x9182,x9183),x9183)+~P8(f14(x9183),x9184,x9183) % 0.52/0.91 [755]~P2(x7552)+~P52(x7552)+E(x7551,f14(x7552))+E(f11(f5(x7553,x7551,x7552),f5(x7554,x7551,x7552),x7552),f11(x7553,x7554,x7552)) % 0.52/0.91 [756]~P2(x7562)+~P52(x7562)+E(x7561,f14(x7562))+E(f11(f5(x7561,x7563,x7562),f5(x7561,x7564,x7562),x7562),f11(x7563,x7564,x7562)) % 0.52/0.91 [957]~P58(x9573)+~P8(x9571,f13(x9572,x9574,x9573),x9573)+~P8(f10(x9572,x9574,x9573),x9571,x9573)+P8(f7(f10(x9571,x9572,x9573),x9573),x9574,x9573) % 0.52/0.91 [912]~P2(x9122)+~P52(x9122)+E(x9121,f14(x9122))+E(f11(f13(x9123,f5(x9124,x9121,x9122),x9122),x9121,x9122),f13(x9124,f11(x9123,x9121,x9122),x9122)) % 0.52/0.91 [913]~P2(x9132)+~P52(x9132)+E(x9131,f14(x9132))+E(f11(f13(x9133,f5(x9134,x9131,x9132),x9132),x9131,x9132),f13(f11(x9133,x9131,x9132),x9134,x9132)) % 0.52/0.91 [700]~P27(x7003)+~P8(x7004,x7005,x7003)+P8(x7001,x7002,x7003)+~E(f10(x7004,x7005,x7003),f10(x7001,x7002,x7003)) % 0.52/0.91 [701]~P27(x7013)+~P8(x7014,x7015,x7013)+P8(x7011,x7012,x7013)+~E(f10(x7011,x7012,x7013),f10(x7014,x7015,x7013)) % 0.52/0.91 [847]~P35(x8473)+~P8(x8472,x8475,x8473)+~P8(x8471,x8474,x8473)+P8(f13(x8471,x8472,x8473),f13(x8474,x8475,x8473),x8473) % 0.52/0.91 [848]~P13(x8483)+~P10(x8482,x8485,x8483)+~P10(x8481,x8484,x8483)+P10(f5(x8481,x8482,x8483),f5(x8484,x8485,x8483),x8483) % 0.52/0.91 [879]~P11(x8793)+~P12(x8793)+P7(x8791,x8792,x8793)+~P7(f16(x8791,x8794,x8793),f16(x8792,x8795,x8793),f32(x8793)) % 0.52/0.91 [880]~P11(x8803)+~P12(x8803)+~P7(f16(x8804,x8801,x8803),f16(x8805,x8802,x8803),f32(x8803))+P7(x8801,x8802,f32(x8803)) % 0.52/0.91 [934]~P58(x9342)+~P8(f7(x9341,x9342),x9344,x9342)+~P8(f7(x9343,x9342),x9345,x9342)+P8(f5(f7(x9341,x9342),f7(x9343,x9342),x9342),f5(x9344,x9345,x9342),x9342) % 0.52/0.91 [967]~P52(x9672)+E(x9671,f14(x9672))+E(x9673,f14(x9672))+E(f11(f13(f5(x9674,x9671,x9672),f5(x9675,x9673,x9672),x9672),f5(x9673,x9671,x9672),x9672),f13(f11(x9674,x9673,x9672),f11(x9675,x9671,x9672),x9672)) % 0.52/0.91 [968]~P52(x9682)+E(x9681,f14(x9682))+E(x9683,f14(x9682))+E(f11(f10(f5(x9684,x9681,x9682),f5(x9685,x9683,x9682),x9682),f5(x9683,x9681,x9682),x9682),f10(f11(x9684,x9683,x9682),f11(x9685,x9681,x9682),x9682)) % 0.52/0.91 [938]~P4(x9383)+~E(f8(x9381,x9384,x9383),f8(x9385,x9384,x9383))+~E(f8(x9382,x9384,x9383),f8(x9386,x9384,x9383))+E(f8(f5(x9381,x9382,x9383),x9384,x9383),f8(f5(x9385,x9386,x9383),x9384,x9383)) % 0.52/0.91 [939]~P4(x9393)+~E(f8(x9391,x9394,x9393),f8(x9395,x9394,x9393))+~E(f8(x9392,x9394,x9393),f8(x9396,x9394,x9393))+E(f8(f13(x9391,x9392,x9393),x9394,x9393),f8(f13(x9395,x9396,x9393),x9394,x9393)) % 0.52/0.91 [940]~P5(x9403)+~E(f8(x9401,x9404,x9403),f8(x9405,x9404,x9403))+~E(f8(x9402,x9404,x9403),f8(x9406,x9404,x9403))+E(f8(f10(x9401,x9402,x9403),x9404,x9403),f8(f10(x9405,x9406,x9403),x9404,x9403)) % 0.52/0.91 [996]~P52(x9962)+~P9(x9964,x9961,x9966,x9965,x9962)+P9(f16(x9963,x9964,x9962),x9961,f16(f11(f19(f16(x9963,x9965,x9962),f18(x9961,x9962),x9962),f19(x9961,f18(x9961,x9962),x9962),x9962),x9966,x9962),f10(f16(x9963,x9965,x9962),f25(f11(f19(f16(x9963,x9965,x9962),f18(x9961,x9962),x9962),f19(x9961,f18(x9961,x9962),x9962),x9962),x9961,x9962),f32(x9962)),x9962)+E(x9961,f14(f32(x9962))) % 0.52/0.91 [993]E(x9931,x9932)+~P9(x9934,x9935,x9936,x9931,x9933)+~P9(x9934,x9935,x9937,x9932,x9933)+~P52(x9933) % 0.52/0.91 [994]E(x9941,x9942)+~P9(x9944,x9945,x9942,x9946,x9943)+~P9(x9944,x9945,x9941,x9947,x9943)+~P52(x9943) % 0.52/0.91 [995]~P52(x9954)+~P9(x9951,x9952,x9958,x9957,x9954)+~P9(x9958,x9953,x9955,x9956,x9954)+P9(x9951,f5(x9952,x9953,f32(x9954)),x9955,f13(f5(x9952,x9956,f32(x9954)),x9957,f32(x9954)),x9954) % 0.52/0.91 [796]~P1(x7962)+~P2(x7962)+~P8(f11(x7963,x7961,x7962),f14(x7962),x7962)+P8(x7961,f14(x7962),x7962)+P8(x7963,f14(x7962),x7962) % 0.52/0.91 [797]~P1(x7972)+~P2(x7972)+~P8(f14(x7972),f11(x7973,x7971,x7972),x7972)+P8(x7971,f14(x7972),x7972)+P8(f14(x7972),x7973,x7972) % 0.52/0.91 [798]~P1(x7982)+~P2(x7982)+~P8(f14(x7982),f11(x7981,x7983,x7982),x7982)+P8(x7981,f14(x7982),x7982)+P8(f14(x7982),x7983,x7982) % 0.52/0.91 [799]~P1(x7992)+~P2(x7992)+~P8(f14(x7992),f11(x7993,x7991,x7992),x7992)+P8(x7991,f14(x7992),x7992)+P8(f14(x7992),x7991,x7992) % 0.52/0.91 [800]~P1(x8002)+~P2(x8002)+~P8(f14(x8002),f11(x8001,x8003,x8002),x8002)+P8(x8001,f14(x8002),x8002)+P8(f14(x8002),x8001,x8002) % 0.52/0.91 [801]~P1(x8012)+~P2(x8012)+~P8(f11(x8013,x8011,x8012),f14(x8012),x8012)+P8(x8011,f14(x8012),x8012)+P8(f14(x8012),x8011,x8012) % 0.52/0.91 [802]~P1(x8022)+~P2(x8022)+~P8(f11(x8021,x8023,x8022),f14(x8022),x8022)+P8(x8021,f14(x8022),x8022)+P8(f14(x8022),x8021,x8022) % 0.52/0.91 [803]~P1(x8031)+~P2(x8031)+~P8(f11(x8032,x8033,x8031),f14(x8031),x8031)+P8(f14(x8031),x8032,x8031)+P8(f14(x8031),x8033,x8031) % 0.52/0.91 [809]~P11(x8091)+~P12(x8091)+~P7(f14(x8091),x8092,x8091)+~P7(f14(f32(x8091)),x8093,f32(x8091))+P7(f14(f32(x8091)),f16(x8092,x8093,x8091),f32(x8091)) % 0.52/0.91 [810]~P11(x8103)+~P12(x8103)+~P7(x8101,f14(x8103),x8103)+~P7(x8102,f14(f32(x8103)),f32(x8103))+P7(f16(x8101,x8102,x8103),f14(f32(x8103)),f32(x8103)) % 0.52/0.91 [856]~P51(x8563)+E(x8561,x8562)+~P10(x8562,x8561,f32(x8563))+~P10(x8561,x8562,f32(x8563))+~E(f19(x8561,f18(x8561,x8563),x8563),f19(x8562,f18(x8562,x8563),x8563)) % 0.52/0.91 [883]~P1(x8834)+~P2(x8834)+~P8(f14(x8834),x8833,x8834)+~P8(f11(x8831,x8833,x8834),x8832,x8834)+P8(x8831,f5(x8832,x8833,x8834),x8834) % 0.52/0.91 [885]~P1(x8853)+~P2(x8853)+~P8(f14(x8853),x8852,x8853)+~P8(x8851,f11(x8854,x8852,x8853),x8853)+P8(f5(x8851,x8852,x8853),x8854,x8853) % 0.52/0.91 [944]~P1(x9443)+~P8(x9442,x9444,x9443)+~P8(x9441,f14(x9443),x9443)+~P8(f14(x9443),f5(x9442,x9444,x9443),x9443)+P8(f11(x9441,x9442,x9443),f11(x9441,x9444,x9443),x9443) % 0.52/0.91 [945]~P1(x9453)+~P8(x9454,x9452,x9453)+~P8(f14(x9453),x9451,x9453)+~P8(f14(x9453),f5(x9452,x9454,x9453),x9453)+P8(f11(x9451,x9452,x9453),f11(x9451,x9454,x9453),x9453) % 0.52/0.91 [689]~P52(x6892)+~E(f11(x6894,x6893,x6892),f11(x6895,x6891,x6892))+E(f5(x6894,x6891,x6892),f5(x6895,x6893,x6892))+E(x6891,f14(x6892))+E(x6893,f14(x6892)) % 0.52/0.91 [690]~P52(x6902)+~E(f5(x6904,x6903,x6902),f5(x6905,x6901,x6902))+E(f11(x6904,x6901,x6902),f11(x6905,x6903,x6902))+E(x6901,f14(x6902))+E(x6903,f14(x6902)) % 0.52/0.91 [873]~P11(x8733)+~P12(x8733)+~P7(x8731,x8734,x8733)+~P7(x8732,x8735,f32(x8733))+P7(f16(x8731,x8732,x8733),f16(x8734,x8735,x8733),f32(x8733)) % 0.52/0.91 [887]~P51(x8874)+~P3(x8874)+E(x8871,x8872)+E(x8873,f14(x8874))+~E(f13(x8875,f5(x8873,x8871,x8874),x8874),f13(x8875,f5(x8873,x8872,x8874),x8874)) % 0.52/0.91 [960]~P51(x9605)+~P3(x9605)+E(x9601,x9602)+E(x9603,x9604)+~E(f13(f5(x9603,x9601,x9605),f5(x9604,x9602,x9605),x9605),f13(f5(x9603,x9602,x9605),f5(x9604,x9601,x9605),x9605)) % 0.52/0.91 [972]~P53(x9725)+~P47(x9725)+~P10(x9721,x9724,x9725)+~P10(x9721,f13(x9722,x9726,x9725),x9725)+P10(x9721,f13(f10(x9722,f5(x9723,x9724,x9725),x9725),x9726,x9725),x9725) % 0.52/0.91 [975]~P53(x9754)+~P47(x9754)+~P10(x9751,x9755,x9754)+P10(x9751,f13(x9752,x9753,x9754),x9754)+~P10(x9751,f13(f10(x9752,f5(x9756,x9755,x9754),x9754),x9753,x9754),x9754) % 0.52/0.91 [794]~P1(x7942)+~P2(x7942)+P8(x7941,f14(x7942),x7942)+P8(f14(x7942),x7941,x7942)+~P8(x7943,f14(x7942),x7942)+P8(x7943,f11(x7944,x7941,x7942),x7942) % 0.52/0.91 [795]~P1(x7952)+~P2(x7952)+P8(x7951,f14(x7952),x7952)+P8(f14(x7952),x7951,x7952)+~P8(f14(x7952),x7954,x7952)+P8(f11(x7953,x7951,x7952),x7954,x7952) % 0.52/0.91 [854]~P1(x8542)+~P2(x8542)+P8(x8541,f14(x8542),x8542)+P8(f14(x8542),x8541,x8542)+~P8(x8543,f11(x8544,x8541,x8542),x8542)+P8(x8543,f14(x8542),x8542) % 0.52/0.91 [855]~P1(x8552)+~P2(x8552)+P8(x8551,f14(x8552),x8552)+P8(f14(x8552),x8551,x8552)+~P8(f11(x8554,x8551,x8552),x8553,x8552)+P8(f14(x8552),x8553,x8552) % 0.52/0.91 [919]~P1(x9192)+~P2(x9192)+~P8(f5(x9193,x9191,x9192),x9194,x9192)+P8(x9191,f14(x9192),x9192)+~P8(x9193,f14(x9192),x9192)+P8(x9193,f11(x9194,x9191,x9192),x9192) % 0.52/0.91 [920]~P1(x9202)+~P2(x9202)+~P8(x9203,f5(x9204,x9201,x9202),x9202)+P8(x9201,f14(x9202),x9202)+~P8(f14(x9202),x9204,x9202)+P8(f11(x9203,x9201,x9202),x9204,x9202) % 0.52/0.91 [921]~P1(x9211)+~P2(x9211)+~P8(x9214,f11(x9213,x9212,x9211),x9211)+~P8(x9212,f14(x9211),x9211)+P8(f14(x9211),x9212,x9211)+P8(x9213,f5(x9214,x9212,x9211),x9211) % 0.52/0.91 [922]~P1(x9221)+~P2(x9221)+~P8(x9224,f5(x9223,x9222,x9221),x9221)+~P8(x9222,f14(x9221),x9221)+P8(f14(x9221),x9222,x9221)+P8(x9223,f11(x9224,x9222,x9221),x9221) % 0.52/0.91 [923]~P1(x9231)+~P2(x9231)+~P8(x9234,f5(x9233,x9232,x9231),x9231)+~P8(x9233,f14(x9231),x9231)+P8(f14(x9231),x9232,x9231)+P8(x9233,f11(x9234,x9232,x9231),x9231) % 0.52/0.91 [924]~P1(x9241)+~P2(x9241)+~P8(f11(x9244,x9242,x9241),x9243,x9241)+~P8(x9242,f14(x9241),x9241)+P8(f14(x9241),x9242,x9241)+P8(f5(x9243,x9242,x9241),x9244,x9241) % 0.52/0.91 [925]~P1(x9251)+~P2(x9251)+~P8(f5(x9254,x9252,x9251),x9253,x9251)+~P8(x9252,f14(x9251),x9251)+P8(f14(x9251),x9252,x9251)+P8(f11(x9253,x9252,x9251),x9254,x9251) % 0.52/0.91 [926]~P1(x9261)+~P2(x9261)+~P8(f5(x9264,x9262,x9261),x9263,x9261)+~P8(f14(x9261),x9264,x9261)+P8(f14(x9261),x9262,x9261)+P8(f11(x9263,x9262,x9261),x9264,x9261) % 0.52/0.91 [953]~P1(x9534)+~P2(x9534)+~P8(x9533,f14(x9534),x9534)+~P8(x9532,f5(x9531,x9533,x9534),x9534)+~P8(f5(x9531,x9533,x9534),x9532,x9534)+P8(x9531,f11(x9532,x9533,x9534),x9534) % 0.52/0.91 [954]~P1(x9544)+~P2(x9544)+~P8(x9541,f14(x9544),x9544)+~P8(x9542,f5(x9541,x9543,x9544),x9544)+~P8(f5(x9541,x9543,x9544),x9542,x9544)+P8(x9541,f11(x9542,x9543,x9544),x9544) % 0.52/0.91 [955]~P1(x9553)+~P2(x9553)+~P8(x9552,f14(x9553),x9553)+~P8(x9551,f5(x9554,x9552,x9553),x9553)+~P8(f5(x9554,x9552,x9553),x9551,x9553)+P8(f11(x9551,x9552,x9553),x9554,x9553) % 0.52/0.91 [956]~P1(x9563)+~P2(x9563)+~P8(f14(x9563),x9564,x9563)+~P8(x9561,f5(x9564,x9562,x9563),x9563)+~P8(f5(x9564,x9562,x9563),x9561,x9563)+P8(f11(x9561,x9562,x9563),x9564,x9563) % 0.52/0.91 %EqnAxiom % 0.52/0.91 [1]E(x11,x11) % 0.52/0.91 [2]E(x22,x21)+~E(x21,x22) % 0.52/0.91 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 0.52/0.91 [4]~E(x41,x42)+E(f34(x41,x43),f34(x42,x43)) % 0.52/0.91 [5]~E(x51,x52)+E(f34(x53,x51),f34(x53,x52)) % 0.52/0.91 [6]~E(x61,x62)+E(f3(x61,x63),f3(x62,x63)) % 0.52/0.91 [7]~E(x71,x72)+E(f3(x73,x71),f3(x73,x72)) % 0.52/0.91 [8]~E(x81,x82)+E(f10(x81,x83,x84),f10(x82,x83,x84)) % 0.52/0.91 [9]~E(x91,x92)+E(f10(x93,x91,x94),f10(x93,x92,x94)) % 0.52/0.91 [10]~E(x101,x102)+E(f10(x103,x104,x101),f10(x103,x104,x102)) % 0.52/0.91 [11]~E(x111,x112)+E(f4(x111,x113,x114),f4(x112,x113,x114)) % 0.52/0.91 [12]~E(x121,x122)+E(f4(x123,x121,x124),f4(x123,x122,x124)) % 0.52/0.91 [13]~E(x131,x132)+E(f4(x133,x134,x131),f4(x133,x134,x132)) % 0.52/0.91 [14]~E(x141,x142)+E(f5(x141,x143,x144),f5(x142,x143,x144)) % 0.52/0.91 [15]~E(x151,x152)+E(f5(x153,x151,x154),f5(x153,x152,x154)) % 0.52/0.91 [16]~E(x161,x162)+E(f5(x163,x164,x161),f5(x163,x164,x162)) % 0.52/0.91 [17]~E(x171,x172)+E(f24(x171,x173),f24(x172,x173)) % 0.52/0.91 [18]~E(x181,x182)+E(f24(x183,x181),f24(x183,x182)) % 0.52/0.91 [19]~E(x191,x192)+E(f14(x191),f14(x192)) % 0.52/0.91 [20]~E(x201,x202)+E(f13(x201,x203,x204),f13(x202,x203,x204)) % 0.52/0.91 [21]~E(x211,x212)+E(f13(x213,x211,x214),f13(x213,x212,x214)) % 0.52/0.91 [22]~E(x221,x222)+E(f13(x223,x224,x221),f13(x223,x224,x222)) % 0.52/0.91 [23]~E(x231,x232)+E(f29(x231),f29(x232)) % 0.52/0.91 [24]~E(x241,x242)+E(f8(x241,x243,x244),f8(x242,x243,x244)) % 0.52/0.91 [25]~E(x251,x252)+E(f8(x253,x251,x254),f8(x253,x252,x254)) % 0.52/0.91 [26]~E(x261,x262)+E(f8(x263,x264,x261),f8(x263,x264,x262)) % 0.52/0.91 [27]~E(x271,x272)+E(f30(x271,x273,x274),f30(x272,x273,x274)) % 0.52/0.91 [28]~E(x281,x282)+E(f30(x283,x281,x284),f30(x283,x282,x284)) % 0.52/0.91 [29]~E(x291,x292)+E(f30(x293,x294,x291),f30(x293,x294,x292)) % 0.52/0.91 [30]~E(x301,x302)+E(f18(x301,x303),f18(x302,x303)) % 0.52/0.91 [31]~E(x311,x312)+E(f18(x313,x311),f18(x313,x312)) % 0.52/0.91 [32]~E(x321,x322)+E(f32(x321),f32(x322)) % 0.52/0.91 [33]~E(x331,x332)+E(f19(x331,x333,x334),f19(x332,x333,x334)) % 0.52/0.91 [34]~E(x341,x342)+E(f19(x343,x341,x344),f19(x343,x342,x344)) % 0.52/0.91 [35]~E(x351,x352)+E(f19(x353,x354,x351),f19(x353,x354,x352)) % 0.52/0.91 [36]~E(x361,x362)+E(f25(x361,x363,x364),f25(x362,x363,x364)) % 0.52/0.91 [37]~E(x371,x372)+E(f25(x373,x371,x374),f25(x373,x372,x374)) % 0.52/0.91 [38]~E(x381,x382)+E(f25(x383,x384,x381),f25(x383,x384,x382)) % 0.52/0.91 [39]~E(x391,x392)+E(f11(x391,x393,x394),f11(x392,x393,x394)) % 0.52/0.91 [40]~E(x401,x402)+E(f11(x403,x401,x404),f11(x403,x402,x404)) % 0.52/0.91 [41]~E(x411,x412)+E(f11(x413,x414,x411),f11(x413,x414,x412)) % 0.52/0.91 [42]~E(x421,x422)+E(f20(x421,x423,x424,x425),f20(x422,x423,x424,x425)) % 0.52/0.91 [43]~E(x431,x432)+E(f20(x433,x431,x434,x435),f20(x433,x432,x434,x435)) % 0.52/0.91 [44]~E(x441,x442)+E(f20(x443,x444,x441,x445),f20(x443,x444,x442,x445)) % 0.52/0.91 [45]~E(x451,x452)+E(f20(x453,x454,x455,x451),f20(x453,x454,x455,x452)) % 0.52/0.91 [46]~E(x461,x462)+E(f16(x461,x463,x464),f16(x462,x463,x464)) % 0.52/0.91 [47]~E(x471,x472)+E(f16(x473,x471,x474),f16(x473,x472,x474)) % 0.52/0.91 [48]~E(x481,x482)+E(f16(x483,x484,x481),f16(x483,x484,x482)) % 0.52/0.91 [49]~E(x491,x492)+E(f7(x491,x493),f7(x492,x493)) % 0.52/0.91 [50]~E(x501,x502)+E(f7(x503,x501),f7(x503,x502)) % 0.52/0.91 [51]~E(x511,x512)+E(f6(x511),f6(x512)) % 0.52/0.91 [52]~E(x521,x522)+E(f15(x521,x523),f15(x522,x523)) % 0.52/0.91 [53]~E(x531,x532)+E(f15(x533,x531),f15(x533,x532)) % 0.52/0.91 [54]~E(x541,x542)+E(f12(x541,x543),f12(x542,x543)) % 0.52/0.91 [55]~E(x551,x552)+E(f12(x553,x551),f12(x553,x552)) % 0.52/0.91 [56]~E(x561,x562)+E(f9(x561,x563,x564),f9(x562,x563,x564)) % 0.52/0.91 [57]~E(x571,x572)+E(f9(x573,x571,x574),f9(x573,x572,x574)) % 0.52/0.91 [58]~E(x581,x582)+E(f9(x583,x584,x581),f9(x583,x584,x582)) % 0.52/0.91 [59]~E(x591,x592)+E(f21(x591,x593,x594),f21(x592,x593,x594)) % 0.52/0.91 [60]~E(x601,x602)+E(f21(x603,x601,x604),f21(x603,x602,x604)) % 0.52/0.91 [61]~E(x611,x612)+E(f21(x613,x614,x611),f21(x613,x614,x612)) % 0.52/0.91 [62]~E(x621,x622)+E(f26(x621,x623,x624),f26(x622,x623,x624)) % 0.52/0.91 [63]~E(x631,x632)+E(f26(x633,x631,x634),f26(x633,x632,x634)) % 0.52/0.91 [64]~E(x641,x642)+E(f26(x643,x644,x641),f26(x643,x644,x642)) % 0.52/0.91 [65]~E(x651,x652)+E(f27(x651,x653,x654),f27(x652,x653,x654)) % 0.52/0.91 [66]~E(x661,x662)+E(f27(x663,x661,x664),f27(x663,x662,x664)) % 0.52/0.91 [67]~E(x671,x672)+E(f27(x673,x674,x671),f27(x673,x674,x672)) % 0.52/0.91 [68]~E(x681,x682)+E(f17(x681,x683),f17(x682,x683)) % 0.52/0.91 [69]~E(x691,x692)+E(f17(x693,x691),f17(x693,x692)) % 0.52/0.91 [70]~E(x701,x702)+E(f31(x701,x703),f31(x702,x703)) % 0.52/0.91 [71]~E(x711,x712)+E(f31(x713,x711),f31(x713,x712)) % 0.52/0.91 [72]~E(x721,x722)+E(f22(x721,x723,x724),f22(x722,x723,x724)) % 0.52/0.91 [73]~E(x731,x732)+E(f22(x733,x731,x734),f22(x733,x732,x734)) % 0.52/0.91 [74]~E(x741,x742)+E(f22(x743,x744,x741),f22(x743,x744,x742)) % 0.52/0.91 [75]~E(x751,x752)+E(f39(x751),f39(x752)) % 0.52/0.91 [76]~E(x761,x762)+E(f23(x761,x763,x764),f23(x762,x763,x764)) % 0.52/0.91 [77]~E(x771,x772)+E(f23(x773,x771,x774),f23(x773,x772,x774)) % 0.52/0.91 [78]~E(x781,x782)+E(f23(x783,x784,x781),f23(x783,x784,x782)) % 0.52/0.91 [79]~E(x791,x792)+E(f38(x791),f38(x792)) % 0.52/0.91 [80]~E(x801,x802)+E(f28(x801,x803,x804),f28(x802,x803,x804)) % 0.52/0.91 [81]~E(x811,x812)+E(f28(x813,x811,x814),f28(x813,x812,x814)) % 0.52/0.91 [82]~E(x821,x822)+E(f28(x823,x824,x821),f28(x823,x824,x822)) % 0.52/0.91 [83]~P1(x831)+P1(x832)+~E(x831,x832) % 0.52/0.91 [84]~P2(x841)+P2(x842)+~E(x841,x842) % 0.52/0.91 [85]~P47(x851)+P47(x852)+~E(x851,x852) % 0.52/0.91 [86]~P57(x861)+P57(x862)+~E(x861,x862) % 0.52/0.91 [87]~P51(x871)+P51(x872)+~E(x871,x872) % 0.52/0.91 [88]P8(x882,x883,x884)+~E(x881,x882)+~P8(x881,x883,x884) % 0.52/0.91 [89]P8(x893,x892,x894)+~E(x891,x892)+~P8(x893,x891,x894) % 0.52/0.91 [90]P8(x903,x904,x902)+~E(x901,x902)+~P8(x903,x904,x901) % 0.52/0.91 [91]~P3(x911)+P3(x912)+~E(x911,x912) % 0.52/0.91 [92]~P60(x921)+P60(x922)+~E(x921,x922) % 0.52/0.91 [93]~P59(x931)+P59(x932)+~E(x931,x932) % 0.52/0.91 [94]P9(x942,x943,x944,x945,x946)+~E(x941,x942)+~P9(x941,x943,x944,x945,x946) % 0.52/0.91 [95]P9(x953,x952,x954,x955,x956)+~E(x951,x952)+~P9(x953,x951,x954,x955,x956) % 0.52/0.91 [96]P9(x963,x964,x962,x965,x966)+~E(x961,x962)+~P9(x963,x964,x961,x965,x966) % 0.52/0.91 [97]P9(x973,x974,x975,x972,x976)+~E(x971,x972)+~P9(x973,x974,x975,x971,x976) % 0.52/0.91 [98]P9(x983,x984,x985,x986,x982)+~E(x981,x982)+~P9(x983,x984,x985,x986,x981) % 0.52/0.91 [99]~P13(x991)+P13(x992)+~E(x991,x992) % 0.52/0.91 [100]P7(x1002,x1003,x1004)+~E(x1001,x1002)+~P7(x1001,x1003,x1004) % 0.52/0.91 [101]P7(x1013,x1012,x1014)+~E(x1011,x1012)+~P7(x1013,x1011,x1014) % 0.52/0.91 [102]P7(x1023,x1024,x1022)+~E(x1021,x1022)+~P7(x1023,x1024,x1021) % 0.52/0.91 [103]~P36(x1031)+P36(x1032)+~E(x1031,x1032) % 0.52/0.91 [104]~P14(x1041)+P14(x1042)+~E(x1041,x1042) % 0.52/0.91 [105]~P4(x1051)+P4(x1052)+~E(x1051,x1052) % 0.52/0.91 [106]~P16(x1061)+P16(x1062)+~E(x1061,x1062) % 0.52/0.91 [107]~P52(x1071)+P52(x1072)+~E(x1071,x1072) % 0.52/0.91 [108]~P11(x1081)+P11(x1082)+~E(x1081,x1082) % 0.52/0.91 [109]~P34(x1091)+P34(x1092)+~E(x1091,x1092) % 0.52/0.91 [110]P10(x1102,x1103,x1104)+~E(x1101,x1102)+~P10(x1101,x1103,x1104) % 0.52/0.91 [111]P10(x1113,x1112,x1114)+~E(x1111,x1112)+~P10(x1113,x1111,x1114) % 0.52/0.91 [112]P10(x1123,x1124,x1122)+~E(x1121,x1122)+~P10(x1123,x1124,x1121) % 0.52/0.91 [113]~P58(x1131)+P58(x1132)+~E(x1131,x1132) % 0.52/0.91 [114]~P61(x1141)+P61(x1142)+~E(x1141,x1142) % 0.52/0.91 [115]~P25(x1151)+P25(x1152)+~E(x1151,x1152) % 0.52/0.91 [116]~P46(x1161)+P46(x1162)+~E(x1161,x1162) % 0.52/0.91 [117]~P12(x1171)+P12(x1172)+~E(x1171,x1172) % 0.52/0.91 [118]~P45(x1181)+P45(x1182)+~E(x1181,x1182) % 0.52/0.91 [119]~P37(x1191)+P37(x1192)+~E(x1191,x1192) % 0.52/0.91 [120]~P23(x1201)+P23(x1202)+~E(x1201,x1202) % 0.52/0.91 [121]~P21(x1211)+P21(x1212)+~E(x1211,x1212) % 0.52/0.91 [122]~P26(x1221)+P26(x1222)+~E(x1221,x1222) % 0.52/0.91 [123]~P62(x1231)+P62(x1232)+~E(x1231,x1232) % 0.52/0.91 [124]~P27(x1241)+P27(x1242)+~E(x1241,x1242) % 0.52/0.91 [125]~P63(x1251)+P63(x1252)+~E(x1251,x1252) % 0.52/0.91 [126]~P50(x1261)+P50(x1262)+~E(x1261,x1262) % 0.52/0.91 [127]P6(x1272,x1273)+~E(x1271,x1272)+~P6(x1271,x1273) % 0.52/0.91 [128]P6(x1283,x1282)+~E(x1281,x1282)+~P6(x1283,x1281) % 0.52/0.91 [129]~P42(x1291)+P42(x1292)+~E(x1291,x1292) % 0.52/0.91 [130]~P53(x1301)+P53(x1302)+~E(x1301,x1302) % 0.52/0.91 [131]~P48(x1311)+P48(x1312)+~E(x1311,x1312) % 0.52/0.91 [132]~P65(x1321)+P65(x1322)+~E(x1321,x1322) % 0.52/0.91 [133]~P38(x1331)+P38(x1332)+~E(x1331,x1332) % 0.52/0.91 [134]~P22(x1341)+P22(x1342)+~E(x1341,x1342) % 0.52/0.91 [135]~P17(x1351)+P17(x1352)+~E(x1351,x1352) % 0.52/0.91 [136]~P30(x1361)+P30(x1362)+~E(x1361,x1362) % 0.52/0.91 [137]~P41(x1371)+P41(x1372)+~E(x1371,x1372) % 0.52/0.91 [138]~P31(x1381)+P31(x1382)+~E(x1381,x1382) % 0.52/0.91 [139]~P5(x1391)+P5(x1392)+~E(x1391,x1392) % 0.52/0.91 [140]~P49(x1401)+P49(x1402)+~E(x1401,x1402) % 0.52/0.91 [141]~P35(x1411)+P35(x1412)+~E(x1411,x1412) % 0.52/0.91 [142]~P24(x1421)+P24(x1422)+~E(x1421,x1422) % 0.52/0.91 [143]~P28(x1431)+P28(x1432)+~E(x1431,x1432) % 0.52/0.91 [144]~P33(x1441)+P33(x1442)+~E(x1441,x1442) % 0.52/0.91 [145]~P32(x1451)+P32(x1452)+~E(x1451,x1452) % 0.52/0.91 [146]~P15(x1461)+P15(x1462)+~E(x1461,x1462) % 0.52/0.91 [147]~P43(x1471)+P43(x1472)+~E(x1471,x1472) % 0.52/0.91 [148]~P66(x1481)+P66(x1482)+~E(x1481,x1482) % 0.52/0.91 [149]~P29(x1491)+P29(x1492)+~E(x1491,x1492) % 0.52/0.91 [150]~P40(x1501)+P40(x1502)+~E(x1501,x1502) % 0.52/0.91 [151]~P39(x1511)+P39(x1512)+~E(x1511,x1512) % 0.52/0.91 [152]~P64(x1521)+P64(x1522)+~E(x1521,x1522) % 0.52/0.91 [153]~P20(x1531)+P20(x1532)+~E(x1531,x1532) % 0.52/0.91 [154]~P56(x1541)+P56(x1542)+~E(x1541,x1542) % 0.52/0.91 [155]~P67(x1551)+P67(x1552)+~E(x1551,x1552) % 0.52/0.91 [156]~P44(x1561)+P44(x1562)+~E(x1561,x1562) % 0.52/0.91 [157]~P19(x1571)+P19(x1572)+~E(x1571,x1572) % 0.52/0.91 [158]~P55(x1581)+P55(x1582)+~E(x1581,x1582) % 0.52/0.91 [159]~P54(x1591)+P54(x1592)+~E(x1591,x1592) % 0.52/0.91 [160]~P18(x1601)+P18(x1602)+~E(x1601,x1602) % 0.52/0.91 % 0.52/0.91 %------------------------------------------- % 0.52/0.91 cnf(1025,plain, % 0.52/0.91 ($false), % 0.52/0.91 inference(scs_inference,[],[296,287]), % 0.52/0.91 ['proof']). % 0.52/0.91 % SZS output end Proof % 0.52/0.91 % Total time :0.060000s %------------------------------------------------------------------------------