%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : ALG371-1 : 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 : n007.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 03:41:29 EDT 2024 % Result : Unsatisfiable 1.04s 1.11s % Output : CNFRefutation 1.04s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : ALG371-1 : TPTP v8.2.0. Released v4.1.0. % 0.12/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % 0.13/0.34 % Computer : n007.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 300 % 0.13/0.34 % DateTime : Wed Jun 19 15:46:39 EDT 2024 % 0.13/0.34 % CPUTime : % 0.55/0.60 start to proof:theBenchmark % 0.58/1.06 %------------------------------------------- % 0.58/1.06 % File :CSE---1.7 % 0.58/1.06 % Problem :theBenchmark % 0.58/1.06 % Transform :cnf % 0.58/1.06 % Format :tptp:raw % 0.58/1.06 % Command :java -jar mcs_scs.jar %d %s % 0.58/1.06 % 0.58/1.06 % Result :Theorem 0.230000s % 0.58/1.06 % Output :CNFRefutation 0.230000s % 0.58/1.06 %------------------------------------------- % 0.58/1.06 %------------------------------------------------------------------------------ % 0.58/1.06 % File : ALG371-1 : TPTP v8.2.0. Released v4.1.0. % 0.58/1.06 % Domain : General Algebra % 0.58/1.06 % Problem : Fundamental theorem of algebra 0380_7 % 0.58/1.06 % Version : Especial. % 0.58/1.06 % English : % 0.58/1.06 % 0.58/1.06 % Refs : [Nip10] Nipkow (2010), Email to Geoff Sutcliffe % 0.58/1.06 % : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day % 0.58/1.06 % Source : [Nip10] % 0.58/1.06 % Names : Fundamental_Theorem_Algebra-0380_7 [Nip10] % 0.58/1.06 % 0.58/1.06 % Status : Unsatisfiable % 0.58/1.06 % Rating : 0.05 v7.4.0, 0.06 v7.3.0, 0.00 v7.0.0, 0.13 v6.4.0, 0.07 v6.3.0, 0.00 v6.0.0, 0.10 v5.5.0, 0.25 v5.4.0, 0.30 v5.3.0, 0.22 v5.2.0, 0.12 v5.1.0, 0.24 v5.0.0, 0.14 v4.1.0 % 0.58/1.06 % Syntax : Number of clauses : 504 ( 85 unt; 105 nHn; 371 RR) % 0.58/1.06 % Number of literals : 1615 ( 204 equ;1009 neg) % 0.58/1.06 % Maximal clause size : 6 ( 3 avg) % 0.58/1.06 % Maximal term depth : 4 ( 1 avg) % 0.58/1.07 % Number of predicates : 52 ( 51 usr; 0 prp; 1-3 aty) % 0.58/1.07 % Number of functors : 17 ( 17 usr; 5 con; 0-3 aty) % 0.58/1.07 % Number of variables : 1377 ( 56 sgn) % 0.58/1.07 % SPC : CNF_UNS_RFO_SEQ_NHN % 0.58/1.07 % 0.58/1.07 % Comments : % 0.58/1.07 %------------------------------------------------------------------------------ % 0.58/1.07 cnf(cls_zero__less__divide__iff_5,axiom, % 0.58/1.07 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.58/1.07 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.58/1.07 | 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) % 0.58/1.07 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.58/1.07 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.58/1.07 % 0.58/1.07 cnf(cls_zero__less__divide__iff_4,axiom, % 0.58/1.07 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.58/1.07 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.58/1.07 | 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) % 0.58/1.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.58/1.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.58/1.07 % 0.58/1.07 cnf(cls_divide__pos__pos_0,axiom, % 0.58/1.07 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.58/1.07 | 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) % 0.58/1.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) % 0.58/1.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ). % 0.58/1.07 % 0.58/1.07 cnf(cls_divide__neg__neg_0,axiom, % 0.58/1.07 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.58/1.07 | 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) % 0.58/1.07 | ~ c_HOL_Oord__class_Oless(V_y,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.58/1.07 | ~ c_HOL_Oord__class_Oless(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.58/1.07 % 0.58/1.07 cnf(cls_mult__less__cancel__right__disj_0,axiom, % 0.58/1.07 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.58/1.07 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.58/1.07 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.58/1.07 | ~ 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) ) ). % 0.58/1.07 % 0.58/1.07 cnf(cls_mult__less__cancel__left__disj_0,axiom, % 0.58/1.07 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.58/1.07 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.58/1.07 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.58/1.07 | ~ 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) ) ). % 0.58/1.07 % 0.58/1.07 cnf(cls_less__divide__eq_3,axiom, % 0.58/1.07 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.58/1.07 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.58/1.07 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 0.58/1.07 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.58/1.07 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.58/1.07 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 0.58/1.07 % 0.58/1.07 cnf(cls_less__divide__eq_2,axiom, % 0.58/1.07 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.58/1.07 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.58/1.07 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.58/1.07 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.58/1.07 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.58/1.07 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ). % 0.58/1.07 % 0.58/1.07 cnf(cls_divide__less__eq_3,axiom, % 0.58/1.07 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.58/1.07 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.58/1.07 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) % 0.58/1.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.58/1.07 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.58/1.07 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 0.58/1.07 % 0.58/1.07 cnf(cls_divide__less__eq_2,axiom, % 0.58/1.07 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.58/1.07 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.58/1.07 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.58/1.07 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.58/1.07 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.58/1.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) ) ). % 0.58/1.07 % 0.58/1.07 cnf(cls_zero__less__double__add__iff__zero__less__single__add_1,axiom, % 0.58/1.07 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.58/1.07 | 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) % 0.58/1.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.58/1.07 % 0.58/1.07 cnf(cls_zero__less__double__add__iff__zero__less__single__add_0,axiom, % 0.58/1.07 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.58/1.07 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.58/1.07 | ~ 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) ) ). % 0.58/1.07 % 0.58/1.07 cnf(cls_zero__less__divide__iff_3,axiom, % 0.58/1.07 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.58/1.07 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.58/1.07 | c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.58/1.07 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.58/1.07 | ~ 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) ) ). % 0.58/1.07 % 0.58/1.07 cnf(cls_zero__less__divide__iff_2,axiom, % 0.58/1.07 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.58/1.07 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.58/1.07 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.58/1.07 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.58/1.07 | ~ 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) ) ). % 0.58/1.07 % 0.58/1.07 cnf(cls_zero__less__divide__iff_1,axiom, % 0.58/1.07 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.58/1.07 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.58/1.07 | c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.58/1.07 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.58/1.07 | ~ 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) ) ). % 0.58/1.07 % 0.58/1.07 cnf(cls_zero__less__divide__iff_0,axiom, % 0.58/1.07 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.58/1.07 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.58/1.07 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.58/1.07 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.58/1.07 | ~ 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) ) ). % 0.58/1.07 % 0.58/1.07 cnf(cls_pos__add__strict_0,axiom, % 0.58/1.07 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.58/1.07 | c_HOL_Oord__class_Oless(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a) % 0.58/1.07 | ~ c_HOL_Oord__class_Oless(V_b,V_c,T_a) % 0.58/1.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.58/1.07 % 0.58/1.07 cnf(cls_mult__pos__neg2_0,axiom, % 0.58/1.07 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.58/1.07 | 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) % 0.58/1.07 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.58/1.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.58/1.07 % 0.58/1.07 cnf(cls_mult__pos__neg_0,axiom, % 0.58/1.07 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.58/1.07 | 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) % 0.58/1.07 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.58/1.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.58/1.07 % 0.58/1.07 cnf(cls_mult__neg__pos_0,axiom, % 0.58/1.07 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.58/1.07 | 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) % 0.58/1.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.58/1.07 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.58/1.07 % 0.58/1.07 cnf(cls_zero__less__mult__pos2_0,axiom, % 0.58/1.07 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.58/1.07 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.58/1.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.58/1.07 | ~ 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) ) ). % 0.58/1.07 % 0.58/1.07 cnf(cls_zero__less__mult__pos_0,axiom, % 0.58/1.07 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.58/1.07 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.58/1.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.58/1.07 | ~ 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) ) ). % 0.58/1.07 % 0.58/1.07 cnf(cls_mult__pos__pos_0,axiom, % 0.58/1.07 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.58/1.07 | 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) % 0.58/1.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.58/1.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.58/1.07 % 0.58/1.07 cnf(cls_mult__neg__neg_0,axiom, % 0.58/1.07 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.58/1.07 | 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) % 0.58/1.07 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.58/1.07 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.58/1.07 % 0.58/1.07 cnf(cls_double__add__less__zero__iff__single__less__zero_1,axiom, % 0.58/1.07 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.58/1.07 | 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) % 0.58/1.07 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.58/1.07 % 0.58/1.07 cnf(cls_double__add__less__zero__iff__single__less__zero_0,axiom, % 0.58/1.07 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.58/1.07 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.58/1.07 | ~ 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) ) ). % 0.58/1.07 % 0.58/1.07 cnf(cls_even__less__0__iff_0,axiom, % 0.58/1.07 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.58/1.07 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.58/1.07 | ~ 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) ) ). % 0.58/1.07 % 0.58/1.07 cnf(cls_Rational_Oordered__idom__class_Osgn__less_0,axiom, % 0.58/1.07 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.58/1.07 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.58/1.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Osgn__class_Osgn(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.58/1.07 % 0.58/1.07 cnf(cls_Rational_Oordered__idom__class_Osgn__less_1,axiom, % 0.58/1.07 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.58/1.07 | c_HOL_Oord__class_Oless(c_HOL_Osgn__class_Osgn(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.58/1.07 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.58/1.07 % 0.58/1.07 cnf(cls_divide__strict__right__mono_0,axiom, % 0.58/1.07 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.58/1.07 | 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) % 0.58/1.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.58/1.07 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.58/1.07 % 0.58/1.07 cnf(cls_divide__strict__right__mono__neg_0,axiom, % 0.58/1.07 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.58/1.07 | 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) % 0.58/1.07 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.58/1.07 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ). % 0.58/1.07 % 0.58/1.07 cnf(cls_not__square__less__zero_0,axiom, % 0.58/1.07 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.58/1.07 | ~ 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) ) ). % 0.58/1.07 % 0.58/1.07 cnf(cls_zero__less__power_0,axiom, % 0.58/1.07 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.58/1.07 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a) % 0.58/1.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.58/1.07 % 0.58/1.07 cnf(cls_add__pos__pos_0,axiom, % 0.58/1.07 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 0.58/1.07 | 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) % 0.58/1.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.58/1.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.58/1.07 % 0.58/1.07 cnf(cls_divide__neg__pos_0,axiom, % 0.58/1.07 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.58/1.07 | 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) % 0.58/1.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) % 0.58/1.07 | ~ c_HOL_Oord__class_Oless(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.58/1.07 % 0.58/1.07 cnf(cls_divide__pos__neg_0,axiom, % 0.58/1.07 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.58/1.07 | 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) % 0.58/1.07 | ~ c_HOL_Oord__class_Oless(V_y,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.58/1.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ). % 0.58/1.07 % 0.58/1.07 cnf(cls_divide__less__0__iff_4,axiom, % 0.58/1.07 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.58/1.07 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.58/1.07 | 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) % 0.58/1.07 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.58/1.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.58/1.07 % 0.58/1.07 cnf(cls_divide__less__0__iff_5,axiom, % 0.58/1.07 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.58/1.07 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.58/1.07 | 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) % 0.58/1.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.58/1.07 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.58/1.07 % 0.58/1.07 cnf(cls_mult__less__cancel__left__disj_1,axiom, % 0.58/1.07 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.58/1.07 | c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 0.58/1.08 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.58/1.08 | ~ 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) ) ). % 0.58/1.08 % 0.58/1.08 cnf(cls_mult__less__cancel__left__disj_2,axiom, % 0.58/1.08 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.58/1.08 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.58/1.08 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.58/1.08 | ~ 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) ) ). % 0.58/1.08 % 0.58/1.08 cnf(cls_mult__less__cancel__right__disj_1,axiom, % 0.58/1.08 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.58/1.08 | c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 0.58/1.08 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.58/1.08 | ~ 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) ) ). % 0.58/1.08 % 0.58/1.08 cnf(cls_mult__less__cancel__right__disj_2,axiom, % 0.58/1.08 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.58/1.08 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.58/1.08 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.58/1.08 | ~ 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) ) ). % 0.58/1.08 % 0.58/1.08 cnf(cls_divide__left__mono_0,axiom, % 0.58/1.08 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.58/1.08 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_c,V_a,T_a),c_HOL_Oinverse__class_Odivide(V_c,V_b,T_a),T_a) % 0.58/1.08 | ~ 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) % 0.58/1.08 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.58/1.08 | ~ c_lessequals(V_b,V_a,T_a) ) ). % 0.58/1.08 % 0.58/1.08 cnf(cls_divide__left__mono__neg_0,axiom, % 0.58/1.08 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.58/1.08 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.58/1.08 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_c,V_a,T_a),c_HOL_Oinverse__class_Odivide(V_c,V_b,T_a),T_a) % 0.58/1.08 | ~ 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) % 0.58/1.08 | ~ c_lessequals(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.58/1.08 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.58/1.08 % 0.58/1.08 cnf(cls_divide__le__eq_0,axiom, % 0.58/1.08 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.58/1.08 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.58/1.08 | c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) % 0.58/1.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.58/1.08 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) ) ). % 0.58/1.08 % 0.58/1.08 cnf(cls_divide__le__eq_6,axiom, % 0.58/1.08 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.58/1.08 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.58/1.08 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) % 0.58/1.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.58/1.08 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) ) ). % 0.58/1.08 % 0.58/1.08 cnf(cls_le__divide__eq_0,axiom, % 0.58/1.08 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.58/1.08 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.58/1.08 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) % 0.58/1.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.58/1.08 | ~ c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ). % 0.58/1.08 % 0.58/1.08 cnf(cls_le__divide__eq_6,axiom, % 0.58/1.08 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.58/1.08 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.58/1.08 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 0.58/1.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.58/1.08 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) ) ). % 0.58/1.08 % 0.58/1.08 cnf(cls_mult__imp__div__pos__le_0,axiom, % 0.58/1.08 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.58/1.08 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),V_z,T_a) % 0.58/1.08 | ~ c_lessequals(V_x,c_HOL_Otimes__class_Otimes(V_z,V_y,T_a),T_a) % 0.58/1.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) ) ). % 0.58/1.08 % 0.58/1.08 cnf(cls_mult__imp__le__div__pos_0,axiom, % 0.58/1.08 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.58/1.08 | c_lessequals(V_z,c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),T_a) % 0.58/1.08 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_z,V_y,T_a),V_x,T_a) % 0.58/1.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) ) ). % 0.58/1.08 % 0.58/1.08 cnf(cls_divide__le__eq_8,axiom, % 0.58/1.08 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.58/1.08 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.58/1.08 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) % 0.58/1.08 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.58/1.08 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) % 0.58/1.08 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) ) ). % 0.58/1.08 % 0.58/1.08 cnf(cls_le__divide__eq_8,axiom, % 0.58/1.08 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.58/1.08 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.58/1.08 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 0.58/1.08 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.58/1.08 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) % 0.58/1.08 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) ) ). % 0.58/1.08 % 0.58/1.08 cnf(cls_divide__le__eq_5,axiom, % 0.58/1.08 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.58/1.08 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.58/1.08 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) % 0.58/1.08 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.58/1.08 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) % 0.58/1.08 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 0.58/1.08 % 0.58/1.08 cnf(cls_divide__le__eq_7,axiom, % 0.58/1.08 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.58/1.08 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.58/1.08 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) % 0.58/1.08 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.58/1.08 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.58/1.08 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) ) ). % 0.58/1.08 % 0.58/1.08 cnf(cls_le__divide__eq_5,axiom, % 0.58/1.08 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.58/1.08 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.58/1.08 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 0.58/1.08 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.58/1.08 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) % 0.58/1.08 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 0.58/1.08 % 0.58/1.08 cnf(cls_le__divide__eq_7,axiom, % 0.58/1.08 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.58/1.08 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.58/1.08 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 0.58/1.08 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.58/1.08 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.58/1.08 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) ) ). % 0.58/1.08 % 0.58/1.08 cnf(cls_divide__le__eq_1,axiom, % 0.58/1.08 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.08 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.08 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) % 1.04/1.08 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.08 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 1.04/1.08 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) ) ). % 1.04/1.08 % 1.04/1.08 cnf(cls_divide__le__eq_4,axiom, % 1.04/1.08 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.08 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.08 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) % 1.04/1.08 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.08 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) % 1.04/1.08 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 1.04/1.08 % 1.04/1.08 cnf(cls_le__divide__eq_1,axiom, % 1.04/1.08 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.08 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.08 | c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) % 1.04/1.08 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.08 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 1.04/1.08 | ~ c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ). % 1.04/1.08 % 1.04/1.08 cnf(cls_le__divide__eq_4,axiom, % 1.04/1.08 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.08 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.08 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 1.04/1.08 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.08 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) % 1.04/1.08 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 1.04/1.08 % 1.04/1.08 cnf(cls_norm__mult__less_0,axiom, % 1.04/1.08 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 1.04/1.08 | c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),T_a),c_HOL_Otimes__class_Otimes(V_r,V_s,tc_RealDef_Oreal),tc_RealDef_Oreal) % 1.04/1.08 | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(V_y,T_a),V_s,tc_RealDef_Oreal) % 1.04/1.08 | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(V_x,T_a),V_r,tc_RealDef_Oreal) ) ). % 1.04/1.08 % 1.04/1.08 cnf(cls_norm__mult__ineq_0,axiom, % 1.04/1.08 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 1.04/1.08 | c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),T_a),c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(V_x,T_a),c_RealVector_Onorm__class_Onorm(V_y,T_a),tc_RealDef_Oreal),tc_RealDef_Oreal) ) ). % 1.04/1.08 % 1.04/1.08 cnf(cls_real__mult__left__cancel_0,axiom, % 1.04/1.08 ( c_HOL_Otimes__class_Otimes(V_c,V_a,tc_RealDef_Oreal) != c_HOL_Otimes__class_Otimes(V_c,V_b,tc_RealDef_Oreal) % 1.04/1.08 | V_c = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) % 1.04/1.08 | V_a = V_b ) ). % 1.04/1.08 % 1.04/1.08 cnf(cls_real__mult__right__cancel_0,axiom, % 1.04/1.08 ( c_HOL_Otimes__class_Otimes(V_a,V_c,tc_RealDef_Oreal) != c_HOL_Otimes__class_Otimes(V_b,V_c,tc_RealDef_Oreal) % 1.04/1.08 | V_c = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) % 1.04/1.08 | V_a = V_b ) ). % 1.04/1.08 % 1.04/1.08 cnf(cls_add__left__mono_0,axiom, % 1.04/1.08 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a) % 1.04/1.08 | c_lessequals(c_HOL_Oplus__class_Oplus(V_c,V_a,T_a),c_HOL_Oplus__class_Oplus(V_c,V_b,T_a),T_a) % 1.04/1.08 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 1.04/1.08 % 1.04/1.08 cnf(cls_add__right__mono_0,axiom, % 1.04/1.08 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a) % 1.04/1.08 | c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) % 1.04/1.08 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 1.04/1.08 % 1.04/1.08 cnf(cls_add__le__cancel__left_0,axiom, % 1.04/1.08 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 1.04/1.08 | c_lessequals(V_a,V_b,T_a) % 1.04/1.08 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(V_c,V_a,T_a),c_HOL_Oplus__class_Oplus(V_c,V_b,T_a),T_a) ) ). % 1.04/1.08 % 1.04/1.08 cnf(cls_add__le__cancel__left_1,axiom, % 1.04/1.08 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 1.04/1.08 | c_lessequals(c_HOL_Oplus__class_Oplus(V_c,V_a,T_a),c_HOL_Oplus__class_Oplus(V_c,V_b,T_a),T_a) % 1.04/1.08 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 1.04/1.08 % 1.04/1.08 cnf(cls_add__le__cancel__right_0,axiom, % 1.04/1.08 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 1.04/1.08 | c_lessequals(V_a,V_b,T_a) % 1.04/1.08 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) ) ). % 1.04/1.08 % 1.04/1.08 cnf(cls_add__le__cancel__right_1,axiom, % 1.04/1.08 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 1.04/1.08 | c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) % 1.04/1.08 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 1.04/1.08 % 1.04/1.08 cnf(cls_add__mono_0,axiom, % 1.04/1.08 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a) % 1.04/1.08 | c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_d,T_a),T_a) % 1.04/1.08 | ~ c_lessequals(V_c,V_d,T_a) % 1.04/1.08 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 1.04/1.08 % 1.04/1.09 cnf(cls_le__add__right__mono_0,axiom, % 1.04/1.09 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 1.04/1.09 | c_lessequals(V_a,c_HOL_Oplus__class_Oplus(V_b,V_d,T_a),T_a) % 1.04/1.09 | ~ c_lessequals(V_c,V_d,T_a) % 1.04/1.09 | ~ c_lessequals(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) ) ). % 1.04/1.09 % 1.04/1.09 cnf(cls_mult__less__cancel__left__disj_3,axiom, % 1.04/1.09 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.04/1.09 | c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 1.04/1.09 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 1.04/1.09 | ~ 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) ) ). % 1.04/1.09 % 1.04/1.09 cnf(cls_mult__less__cancel__right__disj_3,axiom, % 1.04/1.09 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.04/1.09 | c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 1.04/1.09 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 1.04/1.09 | ~ 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) ) ). % 1.04/1.09 % 1.04/1.09 cnf(cls_add__strict__mono_0,axiom, % 1.04/1.09 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a) % 1.04/1.09 | 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) % 1.04/1.09 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a) % 1.04/1.09 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 1.04/1.09 % 1.04/1.09 cnf(cls_add__less__cancel__left_0,axiom, % 1.04/1.09 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 1.04/1.09 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 1.04/1.09 | ~ 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) ) ). % 1.04/1.09 % 1.04/1.09 cnf(cls_add__less__cancel__left_1,axiom, % 1.04/1.09 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 1.04/1.09 | 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) % 1.04/1.09 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 1.04/1.09 % 1.04/1.09 cnf(cls_add__strict__left__mono_0,axiom, % 1.04/1.09 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a) % 1.04/1.09 | 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) % 1.04/1.09 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 1.04/1.09 % 1.04/1.09 cnf(cls_add__less__cancel__right_0,axiom, % 1.04/1.09 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 1.04/1.09 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 1.04/1.09 | ~ 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) ) ). % 1.04/1.09 % 1.04/1.09 cnf(cls_add__less__cancel__right_1,axiom, % 1.04/1.09 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 1.04/1.09 | 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) % 1.04/1.09 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 1.04/1.09 % 1.04/1.09 cnf(cls_add__strict__right__mono_0,axiom, % 1.04/1.09 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a) % 1.04/1.09 | 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) % 1.04/1.09 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 1.04/1.09 % 1.04/1.09 cnf(cls_divide__le__eq_9,axiom, % 1.04/1.09 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.09 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.09 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) % 1.04/1.09 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 1.04/1.09 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) % 1.04/1.09 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) ) ). % 1.04/1.09 % 1.04/1.09 cnf(cls_le__divide__eq_9,axiom, % 1.04/1.09 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.09 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.09 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 1.04/1.09 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.09 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) % 1.04/1.09 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) ) ). % 1.04/1.09 % 1.04/1.09 cnf(cls_sum__squares__le__zero__iff_0,axiom, % 1.04/1.09 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.04/1.09 | V_x = c_HOL_Ozero__class_Ozero(T_a) % 1.04/1.09 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,T_a),c_HOL_Otimes__class_Otimes(V_y,V_y,T_a),T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.04/1.09 % 1.04/1.09 cnf(cls_sum__squares__le__zero__iff_1,axiom, % 1.04/1.09 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.04/1.09 | V_y = c_HOL_Ozero__class_Ozero(T_a) % 1.04/1.09 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,T_a),c_HOL_Otimes__class_Otimes(V_y,V_y,T_a),T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.04/1.09 % 1.04/1.09 cnf(cls_sum__squares__ge__zero_0,axiom, % 1.04/1.09 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.04/1.09 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,T_a),c_HOL_Otimes__class_Otimes(V_y,V_y,T_a),T_a),T_a) ) ). % 1.04/1.09 % 1.04/1.09 cnf(cls_sum__squares__le__zero__iff_2,axiom, % 1.04/1.09 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.04/1.09 | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a),T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.04/1.09 % 1.04/1.09 cnf(cls_sum__squares__gt__zero__iff_1,axiom, % 1.04/1.09 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.04/1.09 | 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) % 1.04/1.09 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.09 % 1.04/1.09 cnf(cls_sum__squares__gt__zero__iff_2,axiom, % 1.04/1.09 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.04/1.09 | 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) % 1.04/1.09 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.09 % 1.04/1.09 cnf(cls_not__sum__squares__lt__zero_0,axiom, % 1.04/1.09 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.04/1.09 | ~ 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) ) ). % 1.04/1.09 % 1.04/1.09 cnf(cls_divide__less__eq_0,axiom, % 1.04/1.09 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.09 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.09 | c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) % 1.04/1.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 1.04/1.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) ) ). % 1.04/1.09 % 1.04/1.09 cnf(cls_divide__less__eq_6,axiom, % 1.04/1.09 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.09 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.09 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) % 1.04/1.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 1.04/1.09 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) ) ). % 1.04/1.09 % 1.04/1.09 cnf(cls_less__divide__eq_0,axiom, % 1.04/1.09 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.09 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.09 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) % 1.04/1.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 1.04/1.09 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ). % 1.04/1.09 % 1.04/1.09 cnf(cls_less__divide__eq_6,axiom, % 1.04/1.09 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.09 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.09 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 1.04/1.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 1.04/1.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) ) ). % 1.04/1.09 % 1.04/1.09 cnf(cls_mult__imp__div__pos__less_0,axiom, % 1.04/1.09 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.09 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),V_z,T_a) % 1.04/1.09 | ~ c_HOL_Oord__class_Oless(V_x,c_HOL_Otimes__class_Otimes(V_z,V_y,T_a),T_a) % 1.04/1.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) ) ). % 1.04/1.09 % 1.04/1.09 cnf(cls_mult__imp__less__div__pos_0,axiom, % 1.04/1.09 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.09 | c_HOL_Oord__class_Oless(V_z,c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),T_a) % 1.04/1.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_z,V_y,T_a),V_x,T_a) % 1.04/1.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) ) ). % 1.04/1.09 % 1.04/1.09 cnf(cls_sum__squares__gt__zero__iff_0,axiom, % 1.04/1.09 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.04/1.09 | ~ 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) ) ). % 1.04/1.09 % 1.04/1.09 cnf(cls_divide__less__eq_8,axiom, % 1.04/1.09 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.09 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.09 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) % 1.04/1.09 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) % 1.04/1.09 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) ) ). % 1.04/1.09 % 1.04/1.09 cnf(cls_divide__less__eq_9,axiom, % 1.04/1.09 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.09 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.09 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) % 1.04/1.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 1.04/1.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) % 1.04/1.09 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) ) ). % 1.04/1.09 % 1.04/1.09 cnf(cls_less__divide__eq_8,axiom, % 1.04/1.09 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.09 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.09 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 1.04/1.09 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.09 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) % 1.04/1.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) ) ). % 1.04/1.09 % 1.04/1.09 cnf(cls_less__divide__eq_9,axiom, % 1.04/1.09 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.09 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.09 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 1.04/1.09 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.09 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) % 1.04/1.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) ) ). % 1.04/1.09 % 1.04/1.09 cnf(cls_divide__less__eq_1,axiom, % 1.04/1.09 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.09 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.09 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) % 1.04/1.09 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.09 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 1.04/1.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) ) ). % 1.04/1.09 % 1.04/1.09 cnf(cls_divide__less__eq_4,axiom, % 1.04/1.09 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.09 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.09 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) % 1.04/1.09 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) % 1.04/1.09 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 1.04/1.09 % 1.04/1.09 cnf(cls_divide__less__eq_5,axiom, % 1.04/1.09 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.09 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.09 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) % 1.04/1.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 1.04/1.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) % 1.04/1.09 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 1.04/1.09 % 1.04/1.09 cnf(cls_divide__less__eq_7,axiom, % 1.04/1.09 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.09 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.09 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) % 1.04/1.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 1.04/1.09 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.09 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) ) ). % 1.04/1.09 % 1.04/1.09 cnf(cls_less__divide__eq_1,axiom, % 1.04/1.09 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.09 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.09 | c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) % 1.04/1.09 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.09 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 1.04/1.09 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ). % 1.04/1.09 % 1.04/1.09 cnf(cls_less__divide__eq_4,axiom, % 1.04/1.09 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.09 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.09 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 1.04/1.09 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.09 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) % 1.04/1.09 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 1.04/1.09 % 1.04/1.09 cnf(cls_less__divide__eq_5,axiom, % 1.04/1.09 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.09 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.09 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 1.04/1.09 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.09 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) % 1.04/1.09 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 1.04/1.09 % 1.04/1.09 cnf(cls_less__divide__eq_7,axiom, % 1.04/1.09 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.09 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.09 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 1.04/1.09 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.09 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) ) ). % 1.04/1.09 % 1.04/1.09 cnf(cls_divide__strict__left__mono_0,axiom, % 1.04/1.09 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.09 | 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) % 1.04/1.09 | ~ 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) % 1.04/1.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 1.04/1.09 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ). % 1.04/1.09 % 1.04/1.09 cnf(cls_divide__strict__left__mono__neg_0,axiom, % 1.04/1.09 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.09 | 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) % 1.04/1.09 | ~ 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) % 1.04/1.09 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.09 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 1.04/1.09 % 1.04/1.09 cnf(cls_class__semiring_Osemiring__rules_I5_J_0,axiom, % 1.04/1.09 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.04/1.09 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = V_a ) ). % 1.04/1.09 % 1.04/1.09 cnf(cls_class__semiring_Osemiring__rules_I6_J_0,axiom, % 1.04/1.09 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.04/1.09 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ). % 1.04/1.09 % 1.04/1.09 cnf(cls_comm__monoid__add_Omult__1_0,axiom, % 1.04/1.09 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 1.04/1.09 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = V_a ) ). % 1.04/1.09 % 1.04/1.09 cnf(cls_class__semiring_Oadd__0_0,axiom, % 1.04/1.09 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.04/1.09 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) = V_x ) ). % 1.04/1.09 % 1.04/1.09 cnf(cls_class__ringb_Oadd__r0__iff_1,axiom, % 1.04/1.09 ( ~ class_Ring__and__Field_Oidom(T_a) % 1.04/1.09 | ~ class_Int_Onumber__ring(T_a) % 1.04/1.09 | V_x = c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.04/1.09 % 1.04/1.09 cnf(cls_comm__monoid__add_Omult__1__right_0,axiom, % 1.04/1.09 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 1.04/1.09 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ). % 1.04/1.09 % 1.04/1.09 cnf(cls_add__0__left_0,axiom, % 1.04/1.09 ( ~ class_OrderedGroup_Omonoid__add(T_a) % 1.04/1.09 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = V_a ) ). % 1.04/1.09 % 1.04/1.09 cnf(cls_monoid__add__class_Oadd__0__right_0,axiom, % 1.04/1.09 ( ~ class_OrderedGroup_Omonoid__add(T_a) % 1.04/1.09 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ). % 1.04/1.09 % 1.04/1.09 cnf(cls_sgn__zero__iff_0,axiom, % 1.04/1.09 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 1.04/1.09 | c_HOL_Osgn__class_Osgn(V_x,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 1.04/1.09 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.09 % 1.04/1.09 cnf(cls_sgn__0__0_0,axiom, % 1.04/1.09 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 1.04/1.09 | c_HOL_Osgn__class_Osgn(V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 1.04/1.09 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.09 % 1.04/1.09 cnf(cls_divide_Ozero_0,axiom, % 1.04/1.09 ( ~ class_RealVector_Oreal__normed__field(T_a) % 1.04/1.09 | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.09 % 1.04/1.09 cnf(cls_divide__zero_0,axiom, % 1.04/1.09 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.04/1.09 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.09 | c_HOL_Oinverse__class_Odivide(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.09 % 1.04/1.09 cnf(cls_divide__eq__eq_1,axiom, % 1.04/1.09 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.04/1.09 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.09 | c_HOL_Oinverse__class_Odivide(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.09 % 1.04/1.09 cnf(cls_divide__zero__left_0,axiom, % 1.04/1.09 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.04/1.09 | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.09 % 1.04/1.09 cnf(cls_double__eq__0__iff_1,axiom, % 1.04/1.09 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 1.04/1.09 | 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) ) ). % 1.04/1.09 % 1.04/1.09 cnf(cls_class__ringb_Oadd__r0__iff_0,axiom, % 1.04/1.09 ( ~ class_Ring__and__Field_Oidom(T_a) % 1.04/1.09 | ~ class_Int_Onumber__ring(T_a) % 1.04/1.09 | V_x != c_HOL_Oplus__class_Oplus(V_x,V_a,T_a) % 1.04/1.09 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.09 % 1.04/1.09 cnf(cls_even__less__0__iff_1,axiom, % 1.04/1.09 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 1.04/1.09 | 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) % 1.04/1.09 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.04/1.09 % 1.04/1.09 cnf(cls_Rational_Oordered__idom__class_Osgn__greater_1,axiom, % 1.04/1.09 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 1.04/1.09 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Osgn__class_Osgn(V_a,T_a),T_a) % 1.04/1.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 1.04/1.09 % 1.04/1.09 cnf(cls_Rational_Oordered__idom__class_Osgn__greater_0,axiom, % 1.04/1.09 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 1.04/1.09 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 1.04/1.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Osgn__class_Osgn(V_a,T_a),T_a) ) ). % 1.04/1.09 % 1.04/1.09 cnf(cls_power__less__zero__eq_1,axiom, % 1.04/1.09 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 1.04/1.09 | c_HOL_Oord__class_Oless(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.09 | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(V_x,V_n,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.04/1.09 % 1.04/1.09 cnf(cls_add__neg__neg_0,axiom, % 1.04/1.09 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 1.04/1.09 | 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) % 1.04/1.09 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.09 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.04/1.09 % 1.04/1.09 cnf(cls_divide__less__0__iff_3,axiom, % 1.04/1.09 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.09 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.09 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 1.04/1.09 | c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.09 | ~ 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) ) ). % 1.04/1.09 % 1.04/1.09 cnf(cls_divide__less__0__iff_2,axiom, % 1.04/1.09 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.09 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.09 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.09 | c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.09 | ~ 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) ) ). % 1.04/1.09 % 1.04/1.09 cnf(cls_divide__less__0__iff_1,axiom, % 1.04/1.09 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.09 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.09 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 1.04/1.09 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 1.04/1.09 | ~ 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) ) ). % 1.04/1.09 % 1.04/1.09 cnf(cls_divide__less__0__iff_0,axiom, % 1.04/1.09 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.09 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.09 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.09 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 1.04/1.09 | ~ 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) ) ). % 1.04/1.09 % 1.04/1.09 cnf(cls_mult__strict__left__mono__comm_0,axiom, % 1.04/1.09 ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(T_a) % 1.04/1.09 | 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) % 1.04/1.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 1.04/1.09 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 1.04/1.09 % 1.04/1.09 cnf(cls_mult__less__cancel__right__disj_5,axiom, % 1.04/1.09 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.04/1.09 | 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) % 1.04/1.09 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 1.04/1.09 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.04/1.09 % 1.04/1.09 cnf(cls_mult__less__cancel__right__disj_4,axiom, % 1.04/1.09 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.04/1.09 | 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) % 1.04/1.09 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 1.04/1.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 1.04/1.09 % 1.04/1.09 cnf(cls_mult__strict__right__mono_0,axiom, % 1.04/1.09 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 1.04/1.09 | 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) % 1.04/1.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 1.04/1.09 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 1.04/1.09 % 1.04/1.09 cnf(cls_mult__strict__right__mono__neg_0,axiom, % 1.04/1.09 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.04/1.09 | 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) % 1.04/1.09 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.09 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ). % 1.04/1.09 % 1.04/1.09 cnf(cls_mult__less__cancel__left__disj_5,axiom, % 1.04/1.09 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.04/1.10 | 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) % 1.04/1.10 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 1.04/1.10 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_mult__less__cancel__left__disj_4,axiom, % 1.04/1.10 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.04/1.10 | 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) % 1.04/1.10 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 1.04/1.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_mult__strict__left__mono_0,axiom, % 1.04/1.10 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 1.04/1.10 | 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) % 1.04/1.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 1.04/1.10 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_mult__strict__left__mono__neg_0,axiom, % 1.04/1.10 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.04/1.10 | 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) % 1.04/1.10 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.10 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_mult__less__cancel__left__pos_1,axiom, % 1.04/1.10 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.04/1.10 | 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) % 1.04/1.10 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 1.04/1.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_mult__less__cancel__left__pos_0,axiom, % 1.04/1.10 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.04/1.10 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 1.04/1.10 | ~ 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) % 1.04/1.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_mult__less__cancel__left__neg_1,axiom, % 1.04/1.10 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.04/1.10 | 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) % 1.04/1.10 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 1.04/1.10 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_mult__less__cancel__left__neg_0,axiom, % 1.04/1.10 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.04/1.10 | c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 1.04/1.10 | ~ 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) % 1.04/1.10 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_add__nonpos__nonpos_0,axiom, % 1.04/1.10 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 1.04/1.10 | c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.10 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.10 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_double__add__le__zero__iff__single__add__le__zero_1,axiom, % 1.04/1.10 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 1.04/1.10 | c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.10 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_double__add__le__zero__iff__single__add__le__zero_0,axiom, % 1.04/1.10 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 1.04/1.10 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.10 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_zero__le__divide__iff_5,axiom, % 1.04/1.10 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.10 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.10 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) % 1.04/1.10 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.10 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_zero__le__divide__iff_4,axiom, % 1.04/1.10 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.10 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.10 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) % 1.04/1.10 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 1.04/1.10 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_divide__le__0__iff_3,axiom, % 1.04/1.10 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.10 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.10 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 1.04/1.10 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.10 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_divide__le__0__iff_2,axiom, % 1.04/1.10 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.10 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.10 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.10 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.10 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_divide__le__0__iff_1,axiom, % 1.04/1.10 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.10 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.10 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 1.04/1.10 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 1.04/1.10 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_divide__le__0__iff_0,axiom, % 1.04/1.10 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.10 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.10 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.10 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 1.04/1.10 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_zero__le__power_0,axiom, % 1.04/1.10 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 1.04/1.10 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a) % 1.04/1.10 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_zero__le__power__iff_1,axiom, % 1.04/1.10 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 1.04/1.10 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a) % 1.04/1.10 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_zero__le__double__add__iff__zero__le__single__add_1,axiom, % 1.04/1.10 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 1.04/1.10 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),T_a) % 1.04/1.10 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_zero__le__double__add__iff__zero__le__single__add_0,axiom, % 1.04/1.10 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 1.04/1.10 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 1.04/1.10 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),T_a) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_add__nonneg__nonneg_0,axiom, % 1.04/1.10 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 1.04/1.10 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a) % 1.04/1.10 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 1.04/1.10 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_mult__nonneg__nonpos2_0,axiom, % 1.04/1.10 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a) % 1.04/1.10 | c_lessequals(c_HOL_Otimes__class_Otimes(V_b,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.10 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.10 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_mult__nonpos__nonneg_0,axiom, % 1.04/1.10 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a) % 1.04/1.10 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.10 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 1.04/1.10 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_mult__nonneg__nonpos_0,axiom, % 1.04/1.10 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a) % 1.04/1.10 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.10 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.10 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_split__mult__neg__le_1,axiom, % 1.04/1.10 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a) % 1.04/1.10 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.10 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 1.04/1.10 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_split__mult__neg__le_0,axiom, % 1.04/1.10 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a) % 1.04/1.10 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.10 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.10 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_mult__le__0__iff_5,axiom, % 1.04/1.10 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.04/1.10 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.10 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 1.04/1.10 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_mult__le__0__iff_4,axiom, % 1.04/1.10 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.04/1.10 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.10 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.10 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_mult__mono_H_0,axiom, % 1.04/1.10 ( ~ class_Ring__and__Field_Opordered__semiring(T_a) % 1.04/1.10 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_d,T_a),T_a) % 1.04/1.10 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 1.04/1.10 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 1.04/1.10 | ~ c_lessequals(V_c,V_d,T_a) % 1.04/1.10 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_mult__mono_0,axiom, % 1.04/1.10 ( ~ class_Ring__and__Field_Opordered__semiring(T_a) % 1.04/1.10 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_d,T_a),T_a) % 1.04/1.10 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 1.04/1.10 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 1.04/1.10 | ~ c_lessequals(V_c,V_d,T_a) % 1.04/1.10 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_zero__le__mult__iff_3,axiom, % 1.04/1.10 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.04/1.10 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.10 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 1.04/1.10 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_zero__le__mult__iff_2,axiom, % 1.04/1.10 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.04/1.10 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.10 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 1.04/1.10 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_zero__le__mult__iff_1,axiom, % 1.04/1.10 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.04/1.10 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.10 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 1.04/1.10 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_zero__le__mult__iff_0,axiom, % 1.04/1.10 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.04/1.10 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.10 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 1.04/1.10 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_mult__nonneg__nonneg_0,axiom, % 1.04/1.10 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a) % 1.04/1.10 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) % 1.04/1.10 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 1.04/1.10 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_zero__le__mult__iff_5,axiom, % 1.04/1.10 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.04/1.10 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) % 1.04/1.10 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.10 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_zero__le__mult__iff_4,axiom, % 1.04/1.10 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.04/1.10 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) % 1.04/1.10 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 1.04/1.10 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_zero__le__square_0,axiom, % 1.04/1.10 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.04/1.10 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_a,T_a),T_a) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_mult__nonpos__nonpos_0,axiom, % 1.04/1.10 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 1.04/1.10 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) % 1.04/1.10 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.10 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_split__mult__pos__le_1,axiom, % 1.04/1.10 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 1.04/1.10 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) % 1.04/1.10 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.10 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_split__mult__pos__le_0,axiom, % 1.04/1.10 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 1.04/1.10 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) % 1.04/1.10 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 1.04/1.10 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_divide__right__mono__neg_0,axiom, % 1.04/1.10 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.10 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.10 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),c_HOL_Oinverse__class_Odivide(V_a,V_c,T_a),T_a) % 1.04/1.10 | ~ c_lessequals(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.10 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_divide__right__mono_0,axiom, % 1.04/1.10 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.10 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.10 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_a,V_c,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 1.04/1.10 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 1.04/1.10 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_mult__right__mono__neg_0,axiom, % 1.04/1.10 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 1.04/1.10 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) % 1.04/1.10 | ~ c_lessequals(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.10 | ~ c_lessequals(V_b,V_a,T_a) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_mult__left__mono__neg_0,axiom, % 1.04/1.10 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 1.04/1.10 | c_lessequals(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) % 1.04/1.10 | ~ c_lessequals(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.10 | ~ c_lessequals(V_b,V_a,T_a) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_mult__right__mono_0,axiom, % 1.04/1.10 ( ~ class_Ring__and__Field_Omult__mono(T_a) % 1.04/1.10 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) % 1.04/1.10 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 1.04/1.10 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_mult__left__mono_0,axiom, % 1.04/1.10 ( ~ class_Ring__and__Field_Omult__mono(T_a) % 1.04/1.10 | c_lessequals(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) % 1.04/1.10 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 1.04/1.10 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_mult__mono1_0,axiom, % 1.04/1.10 ( ~ class_Ring__and__Field_Omult__mono1(T_a) % 1.04/1.10 | c_lessequals(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) % 1.04/1.10 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 1.04/1.10 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_mult__le__0__iff_3,axiom, % 1.04/1.10 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.04/1.10 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 1.04/1.10 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.10 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_mult__le__0__iff_2,axiom, % 1.04/1.10 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.04/1.10 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.10 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.10 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_mult__le__0__iff_1,axiom, % 1.04/1.10 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.04/1.10 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 1.04/1.10 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 1.04/1.10 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_mult__le__0__iff_0,axiom, % 1.04/1.10 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.04/1.10 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.10 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 1.04/1.10 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_add__nonneg__eq__0__iff_1,axiom, % 1.04/1.10 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 1.04/1.10 | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 1.04/1.10 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) % 1.04/1.10 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) % 1.04/1.10 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_add__nonneg__eq__0__iff_0,axiom, % 1.04/1.10 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 1.04/1.10 | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 1.04/1.10 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) % 1.04/1.10 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) % 1.04/1.10 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_divide__le__0__iff_5,axiom, % 1.04/1.10 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.10 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.10 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.10 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 1.04/1.10 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_divide__le__0__iff_4,axiom, % 1.04/1.10 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.10 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.10 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.10 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.10 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_add__increasing2_0,axiom, % 1.04/1.10 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 1.04/1.10 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 1.04/1.10 | c_lessequals(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a) % 1.04/1.10 | ~ c_lessequals(V_b,V_a,T_a) % 1.04/1.10 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_add__increasing_0,axiom, % 1.04/1.10 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 1.04/1.10 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 1.04/1.10 | c_lessequals(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a) % 1.04/1.10 | ~ c_lessequals(V_b,V_c,T_a) % 1.04/1.10 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_add__nonneg__eq__0__iff_2,axiom, % 1.04/1.10 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 1.04/1.10 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.10 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.10 | 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) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_zero__le__divide__iff_3,axiom, % 1.04/1.10 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.10 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.10 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.10 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 1.04/1.10 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_zero__le__divide__iff_2,axiom, % 1.04/1.10 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.10 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.10 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.10 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 1.04/1.10 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_zero__le__divide__iff_1,axiom, % 1.04/1.10 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.10 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.10 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.10 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 1.04/1.10 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_zero__le__divide__iff_0,axiom, % 1.04/1.10 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.10 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.10 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.10 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 1.04/1.10 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_power__mono_0,axiom, % 1.04/1.10 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 1.04/1.10 | c_lessequals(c_Power_Opower__class_Opower(V_a,V_n,T_a),c_Power_Opower__class_Opower(V_b,V_n,T_a),T_a) % 1.04/1.10 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 1.04/1.10 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_power__le__zero__eq_3,axiom, % 1.04/1.10 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 1.04/1.10 | V_x = c_HOL_Ozero__class_Ozero(T_a) % 1.04/1.10 | c_lessequals(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.10 | ~ c_lessequals(c_Power_Opower__class_Opower(V_x,V_n,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_add__less__le__mono_0,axiom, % 1.04/1.10 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a) % 1.04/1.10 | 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) % 1.04/1.10 | ~ c_lessequals(V_c,V_d,T_a) % 1.04/1.10 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_add__le__less__mono_0,axiom, % 1.04/1.10 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a) % 1.04/1.10 | 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) % 1.04/1.10 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a) % 1.04/1.10 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_real__less__all__real2_0,axiom, % 1.04/1.10 ( c_HOL_Oord__class_Oless(V_y,c_RealDef_Oreal__of__preal(V_x),tc_RealDef_Oreal) % 1.04/1.10 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_y,tc_RealDef_Oreal) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_not__real__square__gt__zero_0,axiom, % 1.04/1.10 ( V_x = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) % 1.04/1.10 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_x,V_x,tc_RealDef_Oreal),tc_RealDef_Oreal) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_not__real__square__gt__zero_1,axiom, % 1.04/1.10 ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_real__of__preal__zero__less_0,axiom, % 1.04/1.10 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Oreal__of__preal(V_m),tc_RealDef_Oreal) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_real__gt__zero__preal__Ex_1,axiom, % 1.04/1.10 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Oreal__of__preal(V_xa),tc_RealDef_Oreal) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_ln__less__cancel__iff_1,axiom, % 1.04/1.10 ( c_HOL_Oord__class_Oless(c_Transcendental_Oln(V_x),c_Transcendental_Oln(V_y),tc_RealDef_Oreal) % 1.04/1.10 | ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal) % 1.04/1.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_y,tc_RealDef_Oreal) % 1.04/1.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_ln__less__cancel__iff_0,axiom, % 1.04/1.10 ( c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal) % 1.04/1.10 | ~ c_HOL_Oord__class_Oless(c_Transcendental_Oln(V_x),c_Transcendental_Oln(V_y),tc_RealDef_Oreal) % 1.04/1.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_y,tc_RealDef_Oreal) % 1.04/1.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_poly__bound__exists_0,axiom, % 1.04/1.10 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1(V_p,V_r),tc_RealDef_Oreal) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_ln__inj__iff_0,axiom, % 1.04/1.10 ( c_Transcendental_Oln(V_x) != c_Transcendental_Oln(V_y) % 1.04/1.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_y,tc_RealDef_Oreal) % 1.04/1.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) % 1.04/1.10 | V_x = V_y ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_ln__less__self_0,axiom, % 1.04/1.10 ( c_HOL_Oord__class_Oless(c_Transcendental_Oln(V_x),V_x,tc_RealDef_Oreal) % 1.04/1.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_real__mult__order_0,axiom, % 1.04/1.10 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_x,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal) % 1.04/1.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_y,tc_RealDef_Oreal) % 1.04/1.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_real__mult__less__mono2_0,axiom, % 1.04/1.10 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_z,V_x,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_z,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal) % 1.04/1.10 | ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal) % 1.04/1.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_z,tc_RealDef_Oreal) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_real__mult__less__iff1_1,axiom, % 1.04/1.10 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_x,V_z,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_y,V_z,tc_RealDef_Oreal),tc_RealDef_Oreal) % 1.04/1.10 | ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal) % 1.04/1.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_z,tc_RealDef_Oreal) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_real__mult__less__iff1_0,axiom, % 1.04/1.10 ( c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal) % 1.04/1.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_x,V_z,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_y,V_z,tc_RealDef_Oreal),tc_RealDef_Oreal) % 1.04/1.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_z,tc_RealDef_Oreal) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_mult__less__le__imp__less_0,axiom, % 1.04/1.10 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 1.04/1.10 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_d,T_a),T_a) % 1.04/1.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 1.04/1.10 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 1.04/1.10 | ~ c_lessequals(V_c,V_d,T_a) % 1.04/1.10 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_mult__le__less__imp__less_0,axiom, % 1.04/1.10 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 1.04/1.10 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_d,T_a),T_a) % 1.04/1.10 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 1.04/1.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 1.04/1.10 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a) % 1.04/1.10 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_frac__le_0,axiom, % 1.04/1.10 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.10 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_x,V_z,T_a),c_HOL_Oinverse__class_Odivide(V_y,V_w,T_a),T_a) % 1.04/1.10 | ~ c_lessequals(V_w,V_z,T_a) % 1.04/1.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_w,T_a) % 1.04/1.10 | ~ c_lessequals(V_x,V_y,T_a) % 1.04/1.10 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_add__strict__increasing_0,axiom, % 1.04/1.10 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 1.04/1.10 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 1.04/1.10 | c_HOL_Oord__class_Oless(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a) % 1.04/1.10 | ~ c_lessequals(V_b,V_c,T_a) % 1.04/1.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_double__eq__0__iff_0,axiom, % 1.04/1.10 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 1.04/1.10 | c_HOL_Oplus__class_Oplus(V_a,V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 1.04/1.10 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_no__zero__divirors__neq0_0,axiom, % 1.04/1.10 ( ~ class_Ring__and__Field_Ono__zero__divisors(T_a) % 1.04/1.10 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 1.04/1.10 | V_a = c_HOL_Ozero__class_Ozero(T_a) % 1.04/1.10 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_no__zero__divisors_0,axiom, % 1.04/1.10 ( ~ class_Ring__and__Field_Ono__zero__divisors(T_a) % 1.04/1.10 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 1.04/1.10 | V_b = c_HOL_Ozero__class_Ozero(T_a) % 1.04/1.10 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_mult__eq__0__iff_0,axiom, % 1.04/1.10 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(T_a) % 1.04/1.10 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 1.04/1.10 | V_b = c_HOL_Ozero__class_Ozero(T_a) % 1.04/1.10 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_power__eq__0__iff_0,axiom, % 1.04/1.10 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a) % 1.04/1.10 | ~ class_Ring__and__Field_Ono__zero__divisors(T_a) % 1.04/1.10 | ~ class_Ring__and__Field_Omult__zero(T_a) % 1.04/1.10 | ~ class_Power_Opower(T_a) % 1.04/1.10 | c_Power_Opower__class_Opower(V_a,V_n,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 1.04/1.10 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_field__power__not__zero_0,axiom, % 1.04/1.10 ( ~ class_Ring__and__Field_Oring__1__no__zero__divisors(T_a) % 1.04/1.10 | c_Power_Opower__class_Opower(V_a,V_n,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 1.04/1.10 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_divide__self__if_0,axiom, % 1.04/1.10 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.04/1.10 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.10 | 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) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_class__semiring_Osemiring__rules_I9_J_0,axiom, % 1.04/1.10 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.04/1.10 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_class__semiring_Osemiring__rules_I10_J_0,axiom, % 1.04/1.10 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.04/1.10 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_mult__left_Ozero_0,axiom, % 1.04/1.10 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 1.04/1.10 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_mult_Ozero__left_0,axiom, % 1.04/1.10 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 1.04/1.10 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_mult_Ozero__right_0,axiom, % 1.04/1.10 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 1.04/1.10 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_mult__right_Ozero_0,axiom, % 1.04/1.10 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 1.04/1.10 | c_HOL_Otimes__class_Otimes(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_class__semiring_Omul__0_0,axiom, % 1.04/1.10 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.04/1.10 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_mult__zero__left_0,axiom, % 1.04/1.10 ( ~ class_Ring__and__Field_Omult__zero(T_a) % 1.04/1.10 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_mult__zero__right_0,axiom, % 1.04/1.10 ( ~ class_Ring__and__Field_Omult__zero(T_a) % 1.04/1.10 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_mult__eq__0__iff_1,axiom, % 1.04/1.10 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(T_a) % 1.04/1.10 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_mult__eq__0__iff_2,axiom, % 1.04/1.10 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(T_a) % 1.04/1.10 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_sgn__zero_0,axiom, % 1.04/1.10 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 1.04/1.10 | c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_sgn0_0,axiom, % 1.04/1.10 ( ~ class_Ring__and__Field_Osgn__if(T_a) % 1.04/1.10 | c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_sgn__0__0_1,axiom, % 1.04/1.10 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 1.04/1.10 | c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_eq__divide__eq_2,axiom, % 1.04/1.10 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.04/1.10 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.10 | c_HOL_Ozero__class_Ozero(T_a) = c_HOL_Oinverse__class_Odivide(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_divide_Oadd_0,axiom, % 1.04/1.10 ( ~ class_RealVector_Oreal__normed__field(T_a) % 1.04/1.10 | 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) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_add__divide__distrib_0,axiom, % 1.04/1.10 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.04/1.10 | 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) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_mult__frac__num_0,axiom, % 1.04/1.10 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.04/1.10 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.10 | 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) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_mult__divide__mult__cancel__left_0,axiom, % 1.04/1.10 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.04/1.10 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.10 | 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) % 1.04/1.10 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_mult__divide__mult__cancel__right_0,axiom, % 1.04/1.10 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.04/1.10 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.10 | 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) % 1.04/1.10 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_combine__common__factor_0,axiom, % 1.04/1.10 ( ~ class_Ring__and__Field_Osemiring(T_a) % 1.04/1.10 | 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) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_class__semiring_Osemiring__rules_I21_J_0,axiom, % 1.04/1.10 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.04/1.10 | 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) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_class__semiring_Osemiring__rules_I22_J_0,axiom, % 1.04/1.10 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.04/1.10 | 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) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_class__semiring_Osemiring__rules_I23_J_0,axiom, % 1.04/1.10 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.04/1.10 | 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) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_class__semiring_Osemiring__rules_I25_J_0,axiom, % 1.04/1.10 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.04/1.10 | 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) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_ab__semigroup__add__class_Oadd__ac_I1_J_0,axiom, % 1.04/1.10 ( ~ class_OrderedGroup_Oab__semigroup__add(T_a) % 1.04/1.10 | 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) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_add__cancel__21_1,axiom, % 1.04/1.10 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 1.04/1.10 | 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) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_class__semiring_Oadd__a_0,axiom, % 1.04/1.10 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.04/1.10 | 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) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_comm__monoid__add_Omult__assoc_0,axiom, % 1.04/1.10 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 1.04/1.10 | 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) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_comm__monoid__add_Omult__left__commute_0,axiom, % 1.04/1.10 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 1.04/1.10 | 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) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_class__semiring_Osemiring__rules_I7_J_0,axiom, % 1.04/1.10 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.04/1.10 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) = c_HOL_Otimes__class_Otimes(V_b,V_a,T_a) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_real__mult__commute_0,axiom, % 1.04/1.10 c_HOL_Otimes__class_Otimes(V_z,V_w,tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(V_w,V_z,tc_RealDef_Oreal) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_class__semiring_Omul__c_0,axiom, % 1.04/1.10 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.04/1.10 | c_HOL_Otimes__class_Otimes(V_x,V_y,T_a) = c_HOL_Otimes__class_Otimes(V_y,V_x,T_a) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_class__ringb_Onoteq__reduce_1,axiom, % 1.04/1.10 ( ~ class_Ring__and__Field_Oidom(T_a) % 1.04/1.10 | ~ class_Int_Onumber__ring(T_a) % 1.04/1.10 | 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) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_class__ringb_Oadd__mul__solve_1,axiom, % 1.04/1.10 ( ~ class_Ring__and__Field_Oidom(T_a) % 1.04/1.10 | ~ class_Int_Onumber__ring(T_a) % 1.04/1.10 | 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) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_class__semiring_Osemiring__rules_I13_J_0,axiom, % 1.04/1.10 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.04/1.10 | 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) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_class__semiring_Osemiring__rules_I14_J_0,axiom, % 1.04/1.10 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.04/1.10 | 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) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_class__semiring_Osemiring__rules_I15_J_0,axiom, % 1.04/1.10 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.04/1.10 | 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) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_divide__eq__eq_3,axiom, % 1.04/1.10 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.04/1.10 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.10 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_c,T_a) = V_a % 1.04/1.10 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_eq__divide__eq_3,axiom, % 1.04/1.10 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.04/1.10 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.10 | V_a = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_c,T_a) % 1.04/1.10 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_divide__eq__imp_0,axiom, % 1.04/1.10 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.04/1.10 | V_c = c_HOL_Ozero__class_Ozero(T_a) % 1.04/1.10 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_c,T_a) = V_a ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_eq__divide__imp_0,axiom, % 1.04/1.10 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.04/1.10 | V_c = c_HOL_Ozero__class_Ozero(T_a) % 1.04/1.10 | V_a = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_c,T_a) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_power__divide_0,axiom, % 1.04/1.10 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.04/1.10 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.10 | c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),V_n,T_a) = c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(V_a,V_n,T_a),c_Power_Opower__class_Opower(V_b,V_n,T_a),T_a) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_mult__frac__frac_0,axiom, % 1.04/1.10 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.04/1.10 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.10 | 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) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_mult__left__idem_0,axiom, % 1.04/1.10 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(T_a) % 1.04/1.10 | 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) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_class__ringb_Oadd__scale__eq__noteq_0,axiom, % 1.04/1.10 ( ~ class_Ring__and__Field_Oidom(T_a) % 1.04/1.10 | ~ class_Int_Onumber__ring(T_a) % 1.04/1.10 | 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) % 1.04/1.10 | V_c = V_d % 1.04/1.10 | V_r = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_sum__squares__eq__zero__iff_0,axiom, % 1.04/1.10 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.04/1.10 | 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) % 1.04/1.10 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_sum__squares__eq__zero__iff_1,axiom, % 1.04/1.10 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.04/1.10 | 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) % 1.04/1.10 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_mult__idem_0,axiom, % 1.04/1.10 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(T_a) % 1.04/1.10 | c_HOL_Otimes__class_Otimes(V_x,V_x,T_a) = V_x ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_class__semiring_Opwr__mul_0,axiom, % 1.04/1.10 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.04/1.10 | c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),V_q,T_a) = c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_x,V_q,T_a),c_Power_Opower__class_Opower(V_y,V_q,T_a),T_a) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_power__mult__distrib_0,axiom, % 1.04/1.10 ( ~ class_OrderedGroup_Ocomm__monoid__mult(T_a) % 1.04/1.10 | c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_n,T_a) = c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_a,V_n,T_a),c_Power_Opower__class_Opower(V_b,V_n,T_a),T_a) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_ab__semigroup__mult__class_Omult__ac_I1_J_0,axiom, % 1.04/1.10 ( ~ class_OrderedGroup_Oab__semigroup__mult(T_a) % 1.04/1.10 | 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) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_class__semiring_Osemiring__rules_I16_J_0,axiom, % 1.04/1.10 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.04/1.10 | 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) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_class__semiring_Osemiring__rules_I17_J_0,axiom, % 1.04/1.10 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.04/1.10 | 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) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_class__semiring_Osemiring__rules_I18_J_0,axiom, % 1.04/1.10 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.04/1.10 | 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) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_class__semiring_Osemiring__rules_I19_J_0,axiom, % 1.04/1.10 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.04/1.10 | 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) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_real__mult__assoc_0,axiom, % 1.04/1.10 c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_z1,V_z2,tc_RealDef_Oreal),V_z3,tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(V_z1,c_HOL_Otimes__class_Otimes(V_z2,V_z3,tc_RealDef_Oreal),tc_RealDef_Oreal) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_class__semiring_Omul__a_0,axiom, % 1.04/1.10 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.04/1.10 | 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) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_class__semiring_Osemiring__rules_I8_J_0,axiom, % 1.04/1.10 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.04/1.10 | 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) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_mult__right_Oadd_0,axiom, % 1.04/1.10 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 1.04/1.10 | 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) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_mult_Oadd__right_0,axiom, % 1.04/1.10 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 1.04/1.10 | 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) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_mult__left_Oadd_0,axiom, % 1.04/1.10 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 1.04/1.10 | 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) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_mult_Oadd__left_0,axiom, % 1.04/1.10 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 1.04/1.10 | 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) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_class__semiring_Omul__d_0,axiom, % 1.04/1.10 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.04/1.10 | 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) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_comm__semiring__class_Odistrib_0,axiom, % 1.04/1.10 ( ~ class_Ring__and__Field_Ocomm__semiring(T_a) % 1.04/1.10 | 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) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_class__semiring_Osemiring__rules_I1_J_0,axiom, % 1.04/1.10 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.04/1.10 | 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) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_sgn__sgn_0,axiom, % 1.04/1.10 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 1.04/1.10 | 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) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_add__frac__num_0,axiom, % 1.04/1.10 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.04/1.10 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.10 | 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) % 1.04/1.10 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_add__num__frac_0,axiom, % 1.04/1.10 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.04/1.10 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.10 | 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) % 1.04/1.10 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_class__semiring_Osemiring__rules_I20_J_0,axiom, % 1.04/1.10 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.04/1.10 | 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) ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_class__ringb_Oadd__cancel_0,axiom, % 1.04/1.10 ( ~ class_Ring__and__Field_Oidom(T_a) % 1.04/1.10 | ~ class_Int_Onumber__ring(T_a) % 1.04/1.10 | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) != c_HOL_Oplus__class_Oplus(V_x,V_z,T_a) % 1.04/1.10 | V_y = V_z ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_add__imp__eq_0,axiom, % 1.04/1.10 ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(T_a) % 1.04/1.10 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) != c_HOL_Oplus__class_Oplus(V_a,V_c,T_a) % 1.04/1.10 | V_b = V_c ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_add__left__cancel_0,axiom, % 1.04/1.10 ( ~ class_OrderedGroup_Ocancel__semigroup__add(T_a) % 1.04/1.10 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) != c_HOL_Oplus__class_Oplus(V_a,V_c,T_a) % 1.04/1.10 | V_b = V_c ) ). % 1.04/1.10 % 1.04/1.10 cnf(cls_add__right__cancel_0,axiom, % 1.04/1.10 ( ~ class_OrderedGroup_Ocancel__semigroup__add(T_a) % 1.04/1.10 | c_HOL_Oplus__class_Oplus(V_b,V_a,T_a) != c_HOL_Oplus__class_Oplus(V_c,V_a,T_a) % 1.04/1.10 | V_b = V_c ) ). % 1.04/1.10 % 1.04/1.11 cnf(cls_add__cancel__21_0,axiom, % 1.04/1.11 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 1.04/1.11 | 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) % 1.04/1.11 | c_HOL_Oplus__class_Oplus(V_x,V_z,T_a) = V_u ) ). % 1.04/1.11 % 1.04/1.11 cnf(cls_class__semiring_Osemiring__rules_I24_J_0,axiom, % 1.04/1.11 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.04/1.11 | c_HOL_Oplus__class_Oplus(V_a,V_c,T_a) = c_HOL_Oplus__class_Oplus(V_c,V_a,T_a) ) ). % 1.04/1.11 % 1.04/1.11 cnf(cls_class__semiring_Oadd__c_0,axiom, % 1.04/1.11 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.04/1.11 | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) = c_HOL_Oplus__class_Oplus(V_y,V_x,T_a) ) ). % 1.04/1.11 % 1.04/1.11 cnf(cls_comm__monoid__add_Omult__commute_0,axiom, % 1.04/1.11 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 1.04/1.11 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) = c_HOL_Oplus__class_Oplus(V_b,V_a,T_a) ) ). % 1.04/1.11 % 1.04/1.11 cnf(cls_norm__mult_0,axiom, % 1.04/1.11 ( ~ class_RealVector_Oreal__normed__div__algebra(T_a) % 1.04/1.11 | c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(V_x,T_a),c_RealVector_Onorm__class_Onorm(V_y,T_a),tc_RealDef_Oreal) ) ). % 1.04/1.11 % 1.04/1.11 cnf(cls_power__commutes_0,axiom, % 1.04/1.11 ( ~ class_OrderedGroup_Omonoid__mult(T_a) % 1.04/1.11 | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_a,V_n,T_a),V_a,T_a) = c_HOL_Otimes__class_Otimes(V_a,c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a) ) ). % 1.04/1.11 % 1.04/1.11 cnf(cls_eq__divide__eq_4,axiom, % 1.04/1.11 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.04/1.11 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.11 | 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) ) ). % 1.04/1.11 % 1.04/1.11 cnf(cls_class__ringb_Onoteq__reduce_0,axiom, % 1.04/1.11 ( ~ class_Ring__and__Field_Oidom(T_a) % 1.04/1.11 | ~ class_Int_Onumber__ring(T_a) % 1.04/1.11 | 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) % 1.04/1.11 | V_c = V_d % 1.04/1.11 | V_a = V_b ) ). % 1.04/1.11 % 1.04/1.11 cnf(cls_class__ringb_Oadd__mul__solve_0,axiom, % 1.04/1.11 ( ~ class_Ring__and__Field_Oidom(T_a) % 1.04/1.11 | ~ class_Int_Onumber__ring(T_a) % 1.04/1.11 | 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) % 1.04/1.11 | V_y = V_z % 1.04/1.11 | V_w = V_x ) ). % 1.04/1.11 % 1.04/1.11 cnf(cls_add__frac__eq_0,axiom, % 1.04/1.11 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.04/1.11 | 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) % 1.04/1.11 | V_z = c_HOL_Ozero__class_Ozero(T_a) % 1.04/1.11 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.11 % 1.04/1.11 cnf(cls_divide__eq__eq_0,axiom, % 1.04/1.11 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.04/1.11 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.11 | V_b = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_c,T_a) % 1.04/1.11 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.11 % 1.04/1.11 cnf(cls_eq__divide__eq_0,axiom, % 1.04/1.11 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.04/1.11 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.11 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_c,T_a) = V_b % 1.04/1.11 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.11 % 1.04/1.11 cnf(cls_nonzero__power__divide_0,axiom, % 1.04/1.11 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.04/1.11 | c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),V_n,T_a) = c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(V_a,V_n,T_a),c_Power_Opower__class_Opower(V_b,V_n,T_a),T_a) % 1.04/1.11 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.11 % 1.04/1.11 cnf(cls_sum__squares__eq__zero__iff_2,axiom, % 1.04/1.11 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.04/1.11 | 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) ) ). % 1.04/1.11 % 1.04/1.11 cnf(cls_frac__eq__eq_0,axiom, % 1.04/1.11 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.04/1.11 | c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a) != c_HOL_Oinverse__class_Odivide(V_w,V_z,T_a) % 1.04/1.11 | V_z = c_HOL_Ozero__class_Ozero(T_a) % 1.04/1.11 | V_y = c_HOL_Ozero__class_Ozero(T_a) % 1.04/1.11 | c_HOL_Otimes__class_Otimes(V_x,V_z,T_a) = c_HOL_Otimes__class_Otimes(V_w,V_y,T_a) ) ). % 1.04/1.11 % 1.04/1.11 cnf(cls_frac__eq__eq_1,axiom, % 1.04/1.11 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.04/1.11 | c_HOL_Otimes__class_Otimes(V_x,V_z,T_a) != c_HOL_Otimes__class_Otimes(V_w,V_y,T_a) % 1.04/1.11 | V_z = c_HOL_Ozero__class_Ozero(T_a) % 1.04/1.11 | V_y = c_HOL_Ozero__class_Ozero(T_a) % 1.04/1.11 | c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a) = c_HOL_Oinverse__class_Odivide(V_w,V_z,T_a) ) ). % 1.04/1.11 % 1.04/1.11 cnf(cls_sgn__mult_0,axiom, % 1.04/1.11 ( ~ class_RealVector_Oreal__normed__div__algebra(T_a) % 1.04/1.11 | 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) ) ). % 1.04/1.11 % 1.04/1.11 cnf(cls_sgn__times_0,axiom, % 1.04/1.11 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 1.04/1.11 | 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) ) ). % 1.04/1.11 % 1.04/1.11 cnf(cls_divide__eq__eq_4,axiom, % 1.04/1.11 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.04/1.11 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.11 | 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) ) ). % 1.04/1.11 % 1.04/1.11 cnf(cls_add__pos__nonneg_0,axiom, % 1.04/1.11 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 1.04/1.11 | 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) % 1.04/1.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 1.04/1.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 1.04/1.11 % 1.04/1.11 cnf(cls_add__nonneg__pos_0,axiom, % 1.04/1.11 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 1.04/1.11 | 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) % 1.04/1.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 1.04/1.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 1.04/1.11 % 1.04/1.11 cnf(cls_divide__nonpos__neg_0,axiom, % 1.04/1.11 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.11 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),T_a) % 1.04/1.11 | ~ c_HOL_Oord__class_Oless(V_y,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.11 | ~ c_lessequals(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.04/1.11 % 1.04/1.11 cnf(cls_divide__nonneg__pos_0,axiom, % 1.04/1.11 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.11 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),T_a) % 1.04/1.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) % 1.04/1.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ). % 1.04/1.11 % 1.04/1.11 cnf(cls_frac__less_0,axiom, % 1.04/1.11 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.11 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_x,V_z,T_a),c_HOL_Oinverse__class_Odivide(V_y,V_w,T_a),T_a) % 1.04/1.11 | ~ c_lessequals(V_w,V_z,T_a) % 1.04/1.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_w,T_a) % 1.04/1.11 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 1.04/1.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ). % 1.04/1.11 % 1.04/1.11 cnf(cls_mult__strict__mono_H_0,axiom, % 1.04/1.11 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 1.04/1.11 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_d,T_a),T_a) % 1.04/1.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 1.04/1.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 1.04/1.11 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a) % 1.04/1.11 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 1.04/1.11 % 1.04/1.11 cnf(cls_divide__nonpos__pos_0,axiom, % 1.04/1.11 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.11 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) % 1.04/1.11 | ~ c_lessequals(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.04/1.11 % 1.04/1.11 cnf(cls_divide__nonneg__neg_0,axiom, % 1.04/1.11 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.11 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.11 | ~ c_HOL_Oord__class_Oless(V_y,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ). % 1.04/1.11 % 1.04/1.11 cnf(cls_add__nonpos__neg_0,axiom, % 1.04/1.11 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 1.04/1.11 | 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) % 1.04/1.11 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.11 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.04/1.11 % 1.04/1.11 cnf(cls_add__neg__nonpos_0,axiom, % 1.04/1.11 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 1.04/1.11 | 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) % 1.04/1.11 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.11 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.04/1.11 % 1.04/1.11 cnf(cls_power__less__imp__less__base_0,axiom, % 1.04/1.11 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 1.04/1.11 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 1.04/1.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 1.04/1.11 | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(V_a,V_n,T_a),c_Power_Opower__class_Opower(V_b,V_n,T_a),T_a) ) ). % 1.04/1.11 % 1.04/1.11 cnf(cls_mult__less__imp__less__right_0,axiom, % 1.04/1.11 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 1.04/1.11 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 1.04/1.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 1.04/1.11 | ~ 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) ) ). % 1.04/1.11 % 1.04/1.11 cnf(cls_mult__less__imp__less__left_0,axiom, % 1.04/1.11 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 1.04/1.11 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 1.04/1.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 1.04/1.11 | ~ 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) ) ). % 1.04/1.11 % 1.04/1.11 cnf(cls_mult__right__less__imp__less_0,axiom, % 1.04/1.11 ( ~ class_Ring__and__Field_Oordered__semiring(T_a) % 1.04/1.11 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 1.04/1.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 1.04/1.11 | ~ 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) ) ). % 1.04/1.11 % 1.04/1.11 cnf(cls_mult__left__less__imp__less_0,axiom, % 1.04/1.11 ( ~ class_Ring__and__Field_Oordered__semiring(T_a) % 1.04/1.11 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 1.04/1.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 1.04/1.11 | ~ 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) ) ). % 1.04/1.11 % 1.04/1.11 cnf(cls_mult__strict__mono_0,axiom, % 1.04/1.11 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 1.04/1.11 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_d,T_a),T_a) % 1.04/1.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 1.04/1.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 1.04/1.11 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a) % 1.04/1.11 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 1.04/1.11 % 1.04/1.11 cnf(cls_frac__less2_0,axiom, % 1.04/1.11 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.11 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_x,V_z,T_a),c_HOL_Oinverse__class_Odivide(V_y,V_w,T_a),T_a) % 1.04/1.11 | ~ c_HOL_Oord__class_Oless(V_w,V_z,T_a) % 1.04/1.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_w,T_a) % 1.04/1.11 | ~ c_lessequals(V_x,V_y,T_a) % 1.04/1.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ). % 1.04/1.11 % 1.04/1.11 cnf(cls_add__strict__increasing2_0,axiom, % 1.04/1.11 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 1.04/1.11 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 1.04/1.11 | c_HOL_Oord__class_Oless(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a) % 1.04/1.11 | ~ c_HOL_Oord__class_Oless(V_b,V_c,T_a) % 1.04/1.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 1.04/1.11 % 1.04/1.11 cnf(cls_mult__right__le__imp__le_0,axiom, % 1.04/1.11 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 1.04/1.11 | c_lessequals(V_a,V_b,T_a) % 1.04/1.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 1.04/1.11 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ). % 1.04/1.11 % 1.04/1.11 cnf(cls_mult__left__le__imp__le_0,axiom, % 1.04/1.11 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 1.04/1.11 | c_lessequals(V_a,V_b,T_a) % 1.04/1.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 1.04/1.11 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) ) ). % 1.04/1.11 % 1.04/1.11 cnf(cls_mult__le__cancel__left__pos_1,axiom, % 1.04/1.11 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.04/1.11 | c_lessequals(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) % 1.04/1.11 | ~ c_lessequals(V_a,V_b,T_a) % 1.04/1.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 1.04/1.11 % 1.04/1.11 cnf(cls_mult__le__cancel__left__pos_0,axiom, % 1.04/1.11 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.04/1.11 | c_lessequals(V_a,V_b,T_a) % 1.04/1.11 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) % 1.04/1.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 1.04/1.11 % 1.04/1.11 cnf(cls_mult__le__cancel__left__neg_1,axiom, % 1.04/1.11 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.04/1.11 | c_lessequals(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) % 1.04/1.11 | ~ c_lessequals(V_b,V_a,T_a) % 1.04/1.11 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.04/1.11 % 1.04/1.11 cnf(cls_mult__le__cancel__left__neg_0,axiom, % 1.04/1.11 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.04/1.11 | c_lessequals(V_b,V_a,T_a) % 1.04/1.11 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) % 1.04/1.11 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.04/1.11 % 1.04/1.11 cnf(cls_le__divide__eq_3,axiom, % 1.04/1.11 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.11 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.11 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 1.04/1.11 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.11 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.11 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 1.04/1.11 % 1.04/1.11 cnf(cls_le__divide__eq_2,axiom, % 1.04/1.11 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.11 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.11 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.11 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.11 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 1.04/1.11 | ~ c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ). % 1.04/1.11 % 1.04/1.11 cnf(cls_divide__le__eq_3,axiom, % 1.04/1.11 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.11 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.11 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) % 1.04/1.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 1.04/1.11 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.11 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 1.04/1.11 % 1.04/1.11 cnf(cls_divide__le__eq_2,axiom, % 1.04/1.11 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.11 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.11 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 1.04/1.11 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.11 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 1.04/1.11 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) ) ). % 1.04/1.11 % 1.04/1.11 cnf(cls_norm__sgn_0,axiom, % 1.04/1.11 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 1.04/1.11 | c_RealVector_Onorm__class_Onorm(c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(T_a),T_a),T_a) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ). % 1.04/1.11 % 1.04/1.11 cnf(cls_ln__le__cancel__iff_1,axiom, % 1.04/1.11 ( c_lessequals(c_Transcendental_Oln(V_x),c_Transcendental_Oln(V_y),tc_RealDef_Oreal) % 1.04/1.11 | ~ c_lessequals(V_x,V_y,tc_RealDef_Oreal) % 1.04/1.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_y,tc_RealDef_Oreal) % 1.04/1.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ). % 1.04/1.11 % 1.04/1.11 cnf(cls_ln__le__cancel__iff_0,axiom, % 1.04/1.11 ( c_lessequals(V_x,V_y,tc_RealDef_Oreal) % 1.04/1.11 | ~ c_lessequals(c_Transcendental_Oln(V_x),c_Transcendental_Oln(V_y),tc_RealDef_Oreal) % 1.04/1.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_y,tc_RealDef_Oreal) % 1.04/1.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ). % 1.04/1.11 % 1.04/1.11 cnf(cls_Rats__dense__in__nn__real_2,axiom, % 1.04/1.11 ( c_HOL_Oord__class_Oless(c_RComplete_Osko__RComplete__XRats__dense__in__nn__real__1__1(V_x,V_y),V_y,tc_RealDef_Oreal) % 1.04/1.11 | ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal) % 1.04/1.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ). % 1.04/1.11 % 1.04/1.11 cnf(cls_Rats__dense__in__nn__real_1,axiom, % 1.04/1.11 ( c_HOL_Oord__class_Oless(V_x,c_RComplete_Osko__RComplete__XRats__dense__in__nn__real__1__1(V_x,V_y),tc_RealDef_Oreal) % 1.04/1.11 | ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal) % 1.04/1.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ). % 1.04/1.11 % 1.04/1.11 cnf(cls_real__less__all__preal_0,axiom, % 1.04/1.11 ( c_HOL_Oord__class_Oless(V_y,c_RealDef_Oreal__of__preal(V_x),tc_RealDef_Oreal) % 1.04/1.11 | ~ c_lessequals(V_y,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ). % 1.04/1.11 % 1.04/1.11 cnf(cls_real__mult__le__cancel__iff2_1,axiom, % 1.04/1.11 ( c_lessequals(c_HOL_Otimes__class_Otimes(V_z,V_x,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_z,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal) % 1.04/1.11 | ~ c_lessequals(V_x,V_y,tc_RealDef_Oreal) % 1.04/1.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_z,tc_RealDef_Oreal) ) ). % 1.04/1.11 % 1.04/1.11 cnf(cls_real__mult__le__cancel__iff2_0,axiom, % 1.04/1.11 ( c_lessequals(V_x,V_y,tc_RealDef_Oreal) % 1.04/1.11 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_z,V_x,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_z,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal) % 1.04/1.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_z,tc_RealDef_Oreal) ) ). % 1.04/1.11 % 1.04/1.11 cnf(cls_real__mult__le__cancel__iff1_1,axiom, % 1.04/1.11 ( c_lessequals(c_HOL_Otimes__class_Otimes(V_x,V_z,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_y,V_z,tc_RealDef_Oreal),tc_RealDef_Oreal) % 1.04/1.11 | ~ c_lessequals(V_x,V_y,tc_RealDef_Oreal) % 1.04/1.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_z,tc_RealDef_Oreal) ) ). % 1.04/1.11 % 1.04/1.11 cnf(cls_real__mult__le__cancel__iff1_0,axiom, % 1.04/1.11 ( c_lessequals(V_x,V_y,tc_RealDef_Oreal) % 1.04/1.11 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_x,V_z,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_y,V_z,tc_RealDef_Oreal),tc_RealDef_Oreal) % 1.04/1.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_z,tc_RealDef_Oreal) ) ). % 1.04/1.11 % 1.04/1.11 cnf(cls_poly__bound__exists_1,axiom, % 1.04/1.11 ( c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(V_p,V_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1(V_p,V_r),tc_RealDef_Oreal) % 1.04/1.11 | ~ c_lessequals(c_RealVector_Onorm__class_Onorm(V_z,tc_Complex_Ocomplex),V_r,tc_RealDef_Oreal) ) ). % 1.04/1.11 % 1.04/1.11 cnf(cls_norm__ratiotest__lemma_0,axiom, % 1.04/1.11 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 1.04/1.11 | V_x = c_HOL_Ozero__class_Ozero(T_a) % 1.04/1.11 | ~ c_lessequals(c_RealVector_Onorm__class_Onorm(V_x,T_a),c_HOL_Otimes__class_Otimes(V_c,c_RealVector_Onorm__class_Onorm(V_y,T_a),tc_RealDef_Oreal),tc_RealDef_Oreal) % 1.04/1.11 | ~ c_lessequals(V_c,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ). % 1.04/1.11 % 1.04/1.11 cnf(cls_xt1_I9_J_0,axiom, % 1.04/1.11 ( ~ class_Orderings_Oorder(T_a) % 1.04/1.11 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 1.04/1.11 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ). % 1.04/1.11 % 1.04/1.11 cnf(cls_not__less__iff__gr__or__eq_1,axiom, % 1.04/1.11 ( ~ class_Orderings_Olinorder(T_a) % 1.04/1.11 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 1.04/1.11 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ). % 1.04/1.11 % 1.04/1.11 cnf(cls_real__le__linear_0,axiom, % 1.04/1.11 ( c_lessequals(V_w,V_z,tc_RealDef_Oreal) % 1.04/1.11 | c_lessequals(V_z,V_w,tc_RealDef_Oreal) ) ). % 1.04/1.11 % 1.04/1.11 cnf(cls_linorder__linear_0,axiom, % 1.04/1.11 ( ~ class_Orderings_Olinorder(T_a) % 1.04/1.11 | c_lessequals(V_y,V_x,T_a) % 1.04/1.11 | c_lessequals(V_x,V_y,T_a) ) ). % 1.04/1.11 % 1.04/1.11 cnf(cls_order__less__asym_0,axiom, % 1.04/1.11 ( ~ class_Orderings_Opreorder(T_a) % 1.04/1.11 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 1.04/1.11 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 1.04/1.11 % 1.04/1.11 cnf(cls_order__less__asym_H_0,axiom, % 1.04/1.11 ( ~ class_Orderings_Opreorder(T_a) % 1.04/1.11 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 1.04/1.11 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 1.04/1.11 % 1.04/1.11 cnf(cls_xt1_I6_J_0,axiom, % 1.04/1.11 ( ~ class_Orderings_Oorder(T_a) % 1.04/1.11 | c_lessequals(V_z,V_x,T_a) % 1.04/1.11 | ~ c_lessequals(V_z,V_y,T_a) % 1.04/1.11 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 1.04/1.11 % 1.04/1.11 cnf(cls_xt1_I7_J_0,axiom, % 1.04/1.11 ( ~ class_Orderings_Oorder(T_a) % 1.04/1.11 | c_HOL_Oord__class_Oless(V_z,V_x,T_a) % 1.04/1.11 | ~ c_lessequals(V_z,V_y,T_a) % 1.04/1.11 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ). % 1.04/1.11 % 1.04/1.11 cnf(cls_xt1_I8_J_0,axiom, % 1.04/1.11 ( ~ class_Orderings_Oorder(T_a) % 1.04/1.11 | c_HOL_Oord__class_Oless(V_z,V_x,T_a) % 1.04/1.11 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a) % 1.04/1.11 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 1.04/1.11 % 1.04/1.11 cnf(cls_order__trans_0,axiom, % 1.04/1.11 ( ~ class_Orderings_Opreorder(T_a) % 1.04/1.11 | c_lessequals(V_x,V_z,T_a) % 1.04/1.11 | ~ c_lessequals(V_y,V_z,T_a) % 1.04/1.11 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 1.04/1.11 % 1.04/1.11 cnf(cls_order__less__le__trans_0,axiom, % 1.04/1.11 ( ~ class_Orderings_Opreorder(T_a) % 1.04/1.11 | c_HOL_Oord__class_Oless(V_x,V_z,T_a) % 1.04/1.11 | ~ c_lessequals(V_y,V_z,T_a) % 1.04/1.11 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 1.04/1.11 % 1.04/1.11 cnf(cls_order__le__less__trans_0,axiom, % 1.04/1.11 ( ~ class_Orderings_Opreorder(T_a) % 1.04/1.11 | c_HOL_Oord__class_Oless(V_x,V_z,T_a) % 1.04/1.11 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a) % 1.04/1.11 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 1.04/1.11 % 1.04/1.11 cnf(cls_real__le__refl_0,axiom, % 1.04/1.11 c_lessequals(V_w,V_w,tc_RealDef_Oreal) ). % 1.04/1.11 % 1.04/1.11 cnf(cls_real__le__trans_0,axiom, % 1.04/1.11 ( c_lessequals(V_i,V_k,tc_RealDef_Oreal) % 1.04/1.11 | ~ c_lessequals(V_j,V_k,tc_RealDef_Oreal) % 1.04/1.11 | ~ c_lessequals(V_i,V_j,tc_RealDef_Oreal) ) ). % 1.04/1.11 % 1.04/1.11 cnf(cls_order__eq__iff_0,axiom, % 1.04/1.11 ( ~ class_Orderings_Oorder(T_a) % 1.04/1.11 | c_lessequals(V_x,V_x,T_a) ) ). % 1.04/1.11 % 1.04/1.11 cnf(cls_order__eq__refl_0,axiom, % 1.04/1.11 ( ~ class_Orderings_Opreorder(T_a) % 1.04/1.11 | c_lessequals(V_x,V_x,T_a) ) ). % 1.04/1.11 % 1.04/1.11 cnf(cls_order__less__imp__le_0,axiom, % 1.04/1.11 ( ~ class_Orderings_Opreorder(T_a) % 1.04/1.11 | c_lessequals(V_x,V_y,T_a) % 1.04/1.11 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 1.04/1.11 % 1.04/1.11 cnf(cls_real__less__def_0,axiom, % 1.04/1.11 ( c_lessequals(V_x,V_y,tc_RealDef_Oreal) % 1.04/1.11 | ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal) ) ). % 1.04/1.11 % 1.04/1.11 cnf(cls_order__le__less_1,axiom, % 1.04/1.11 ( ~ class_Orderings_Oorder(T_a) % 1.04/1.11 | c_lessequals(V_x,V_y,T_a) % 1.04/1.11 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 1.04/1.11 % 1.04/1.11 cnf(cls_less__le__not__le_2,axiom, % 1.04/1.11 ( ~ class_Orderings_Opreorder(T_a) % 1.04/1.11 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 1.04/1.11 | c_lessequals(V_y,V_x,T_a) % 1.04/1.11 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 1.04/1.11 % 1.04/1.11 cnf(cls_order__less__irrefl_0,axiom, % 1.04/1.11 ( ~ class_Orderings_Opreorder(T_a) % 1.04/1.11 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ). % 1.04/1.11 % 1.04/1.11 cnf(cls_real__less__def_1,axiom, % 1.04/1.11 ~ c_HOL_Oord__class_Oless(V_x,V_x,tc_RealDef_Oreal) ). % 1.04/1.11 % 1.04/1.11 cnf(cls_order__less__le_1,axiom, % 1.04/1.11 ( ~ class_Orderings_Oorder(T_a) % 1.04/1.11 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ). % 1.04/1.11 % 1.04/1.11 cnf(cls_linorder__neq__iff_1,axiom, % 1.04/1.11 ( ~ class_Orderings_Olinorder(T_a) % 1.04/1.11 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ). % 1.04/1.11 % 1.04/1.11 cnf(cls_norm__zero_0,axiom, % 1.04/1.11 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 1.04/1.11 | c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ). % 1.04/1.11 % 1.04/1.11 cnf(cls_norm__ge__zero_0,axiom, % 1.04/1.11 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 1.04/1.11 | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(V_x,T_a),tc_RealDef_Oreal) ) ). % 1.04/1.11 % 1.04/1.11 cnf(cls_xt1_I11_J_0,axiom, % 1.04/1.11 ( ~ class_Orderings_Oorder(T_a) % 1.04/1.11 | c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 1.04/1.11 | V_a = V_b % 1.04/1.11 | ~ c_lessequals(V_b,V_a,T_a) ) ). % 1.04/1.11 % 1.04/1.11 cnf(cls_xt1_I12_J_0,axiom, % 1.04/1.11 ( ~ class_Orderings_Oorder(T_a) % 1.04/1.11 | c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 1.04/1.11 | ~ c_lessequals(V_b,V_a,T_a) % 1.04/1.11 | V_a = V_b ) ). % 1.04/1.11 % 1.04/1.11 cnf(cls_linorder__antisym__conv2_0,axiom, % 1.04/1.11 ( ~ class_Orderings_Olinorder(T_a) % 1.04/1.11 | V_x = V_y % 1.04/1.11 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 1.04/1.11 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 1.04/1.11 % 1.04/1.11 cnf(cls_linorder__antisym__conv1_0,axiom, % 1.04/1.11 ( ~ class_Orderings_Olinorder(T_a) % 1.04/1.11 | V_x = V_y % 1.04/1.11 | ~ c_lessequals(V_x,V_y,T_a) % 1.04/1.11 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 1.04/1.11 % 1.04/1.11 cnf(cls_order__neq__le__trans_0,axiom, % 1.04/1.11 ( ~ class_Orderings_Oorder(T_a) % 1.04/1.11 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 1.04/1.11 | ~ c_lessequals(V_a,V_b,T_a) % 1.04/1.11 | V_a = V_b ) ). % 1.04/1.11 % 1.04/1.11 cnf(cls_order__le__neq__trans_0,axiom, % 1.04/1.11 ( ~ class_Orderings_Oorder(T_a) % 1.04/1.11 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 1.04/1.11 | V_a = V_b % 1.04/1.11 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 1.04/1.11 % 1.04/1.11 cnf(cls_real__less__def_2,axiom, % 1.04/1.11 ( c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal) % 1.04/1.11 | V_x = V_y % 1.04/1.11 | ~ c_lessequals(V_x,V_y,tc_RealDef_Oreal) ) ). % 1.04/1.11 % 1.04/1.11 cnf(cls_order__le__less_0,axiom, % 1.04/1.11 ( ~ class_Orderings_Oorder(T_a) % 1.04/1.11 | V_x = V_y % 1.04/1.11 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 1.04/1.11 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 1.04/1.11 % 1.04/1.11 cnf(cls_order__less__le_2,axiom, % 1.04/1.11 ( ~ class_Orderings_Oorder(T_a) % 1.04/1.11 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 1.04/1.11 | V_x = V_y % 1.04/1.11 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 1.04/1.11 % 1.04/1.11 cnf(cls_zero__less__norm__iff_1,axiom, % 1.04/1.11 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 1.04/1.11 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(V_x,T_a),tc_RealDef_Oreal) % 1.04/1.11 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.11 % 1.04/1.11 cnf(cls_linorder__neqE__ordered__idom_0,axiom, % 1.04/1.11 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 1.04/1.11 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 1.04/1.11 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 1.04/1.11 | V_x = V_y ) ). % 1.04/1.11 % 1.04/1.11 cnf(cls_not__less__iff__gr__or__eq_0,axiom, % 1.04/1.11 ( ~ class_Orderings_Olinorder(T_a) % 1.04/1.11 | V_x = V_y % 1.04/1.11 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 1.04/1.11 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 1.04/1.11 % 1.04/1.11 cnf(cls_linorder__antisym__conv3_0,axiom, % 1.04/1.11 ( ~ class_Orderings_Olinorder(T_a) % 1.04/1.11 | V_x = V_y % 1.04/1.11 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 1.04/1.11 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ). % 1.04/1.11 % 1.04/1.11 cnf(cls_linorder__less__linear_0,axiom, % 1.04/1.11 ( ~ class_Orderings_Olinorder(T_a) % 1.04/1.11 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 1.04/1.11 | V_x = V_y % 1.04/1.11 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 1.04/1.11 % 1.04/1.11 cnf(cls_order__antisym__conv_0,axiom, % 1.04/1.11 ( ~ class_Orderings_Oorder(T_a) % 1.04/1.11 | V_x = V_y % 1.04/1.11 | ~ c_lessequals(V_x,V_y,T_a) % 1.04/1.11 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 1.04/1.11 % 1.04/1.11 cnf(cls_order__eq__iff_2,axiom, % 1.04/1.11 ( ~ class_Orderings_Oorder(T_a) % 1.04/1.11 | V_x = V_y % 1.04/1.11 | ~ c_lessequals(V_y,V_x,T_a) % 1.04/1.11 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 1.04/1.11 % 1.04/1.11 cnf(cls_linorder__neqE_0,axiom, % 1.04/1.11 ( ~ class_Orderings_Olinorder(T_a) % 1.04/1.11 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 1.04/1.11 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 1.04/1.11 | V_x = V_y ) ). % 1.04/1.11 % 1.04/1.11 cnf(cls_order__antisym_0,axiom, % 1.04/1.11 ( ~ class_Orderings_Oorder(T_a) % 1.04/1.11 | V_x = V_y % 1.04/1.11 | ~ c_lessequals(V_y,V_x,T_a) % 1.04/1.11 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 1.04/1.11 % 1.04/1.11 cnf(cls_real__le__antisym_0,axiom, % 1.04/1.11 ( V_z = V_w % 1.04/1.11 | ~ c_lessequals(V_w,V_z,tc_RealDef_Oreal) % 1.04/1.11 | ~ c_lessequals(V_z,V_w,tc_RealDef_Oreal) ) ). % 1.04/1.11 % 1.04/1.11 cnf(cls_zero__less__norm__iff_0,axiom, % 1.04/1.11 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 1.04/1.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(T_a),T_a),tc_RealDef_Oreal) ) ). % 1.04/1.11 % 1.04/1.11 cnf(cls_norm__eq__zero_0,axiom, % 1.04/1.11 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 1.04/1.11 | c_RealVector_Onorm__class_Onorm(V_x,T_a) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) % 1.04/1.11 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.11 % 1.04/1.11 cnf(cls_norm__le__zero__iff_1,axiom, % 1.04/1.11 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 1.04/1.11 | c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(T_a),T_a),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ). % 1.04/1.11 % 1.04/1.11 cnf(cls_norm__le__zero__iff_0,axiom, % 1.04/1.11 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 1.04/1.11 | V_x = c_HOL_Ozero__class_Ozero(T_a) % 1.04/1.11 | ~ c_lessequals(c_RealVector_Onorm__class_Onorm(V_x,T_a),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ). % 1.04/1.11 % 1.04/1.11 cnf(cls_norm__not__less__zero_0,axiom, % 1.04/1.11 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 1.04/1.11 | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(V_x,T_a),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ). % 1.04/1.11 % 1.04/1.11 cnf(cls_xt1_I10_J_0,axiom, % 1.04/1.11 ( ~ class_Orderings_Oorder(T_a) % 1.04/1.11 | c_HOL_Oord__class_Oless(V_z,V_x,T_a) % 1.04/1.11 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a) % 1.04/1.11 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ). % 1.04/1.11 % 1.04/1.11 cnf(cls_order__less__trans_0,axiom, % 1.04/1.11 ( ~ class_Orderings_Opreorder(T_a) % 1.04/1.11 | c_HOL_Oord__class_Oless(V_x,V_z,T_a) % 1.04/1.11 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a) % 1.04/1.11 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 1.04/1.11 % 1.04/1.11 cnf(cls_less__le__not__le_1,axiom, % 1.04/1.11 ( ~ class_Orderings_Opreorder(T_a) % 1.04/1.11 | ~ c_lessequals(V_y,V_x,T_a) % 1.04/1.11 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 1.04/1.11 % 1.04/1.11 cnf(cls_not__leE_0,axiom, % 1.04/1.11 ( ~ class_Orderings_Olinorder(T_a) % 1.04/1.11 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 1.04/1.11 | c_lessequals(V_y,V_x,T_a) ) ). % 1.04/1.11 % 1.04/1.11 cnf(cls_linorder__antisym__conv2_1,axiom, % 1.04/1.11 ( ~ class_Orderings_Olinorder(T_a) % 1.04/1.11 | ~ c_lessequals(V_x,V_x,T_a) % 1.04/1.11 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ). % 1.04/1.11 % 1.04/1.11 cnf(cls_linorder__antisym__conv1_1,axiom, % 1.04/1.11 ( ~ class_Orderings_Olinorder(T_a) % 1.04/1.11 | c_HOL_Oord__class_Oless(V_x,V_x,T_a) % 1.04/1.11 | c_lessequals(V_x,V_x,T_a) ) ). % 1.04/1.11 % 1.04/1.11 cnf(cls_linorder__not__less_1,axiom, % 1.04/1.11 ( ~ class_Orderings_Olinorder(T_a) % 1.04/1.11 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 1.04/1.11 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 1.04/1.11 % 1.04/1.11 cnf(cls_linorder__not__less_0,axiom, % 1.04/1.11 ( ~ class_Orderings_Olinorder(T_a) % 1.04/1.11 | c_lessequals(V_y,V_x,T_a) % 1.04/1.11 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 1.04/1.11 % 1.04/1.11 cnf(cls_linorder__not__le_0,axiom, % 1.04/1.11 ( ~ class_Orderings_Olinorder(T_a) % 1.04/1.11 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 1.04/1.11 | c_lessequals(V_x,V_y,T_a) ) ). % 1.04/1.11 % 1.04/1.11 cnf(cls_linorder__not__le_1,axiom, % 1.04/1.11 ( ~ class_Orderings_Olinorder(T_a) % 1.04/1.11 | ~ c_lessequals(V_x,V_y,T_a) % 1.04/1.11 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ). % 1.04/1.11 % 1.04/1.11 cnf(cls_conjecture_0,negated_conjecture, % 1.04/1.11 c_HOL_Oord__class_Oless(v_r,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ). % 1.04/1.11 % 1.04/1.11 cnf(cls_conjecture_1,negated_conjecture, % 1.04/1.11 c_lessequals(c_RealVector_Onorm__class_Onorm(v_x,tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal) ). % 1.04/1.11 % 1.04/1.11 cnf(cls_conjecture_2,negated_conjecture, % 1.04/1.11 ~ c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_x,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal) ). % 1.04/1.11 % 1.04/1.11 cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__cancel__ab__semigroup__add,axiom, % 1.04/1.11 class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_RealDef_Oreal) ). % 1.04/1.11 % 1.04/1.11 cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__semigroup__add__imp__le,axiom, % 1.04/1.11 class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal) ). % 1.04/1.11 % 1.04/1.11 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__comm__semiring__strict,axiom, % 1.04/1.11 class_Ring__and__Field_Oordered__comm__semiring__strict(tc_RealDef_Oreal) ). % 1.04/1.11 % 1.04/1.11 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Opordered__cancel__semiring,axiom, % 1.04/1.11 class_Ring__and__Field_Opordered__cancel__semiring(tc_RealDef_Oreal) ). % 1.04/1.11 % 1.04/1.11 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oring__1__no__zero__divisors,axiom, % 1.04/1.11 class_Ring__and__Field_Oring__1__no__zero__divisors(tc_RealDef_Oreal) ). % 1.04/1.11 % 1.04/1.11 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__semiring__strict,axiom, % 1.04/1.11 class_Ring__and__Field_Oordered__semiring__strict(tc_RealDef_Oreal) ). % 1.04/1.11 % 1.04/1.11 cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__semigroup__add,axiom, % 1.04/1.11 class_OrderedGroup_Opordered__ab__semigroup__add(tc_RealDef_Oreal) ). % 1.04/1.11 % 1.04/1.11 cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__comm__monoid__add,axiom, % 1.04/1.11 class_OrderedGroup_Opordered__comm__monoid__add(tc_RealDef_Oreal) ). % 1.04/1.11 % 1.04/1.11 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oring__no__zero__divisors,axiom, % 1.04/1.11 class_Ring__and__Field_Oring__no__zero__divisors(tc_RealDef_Oreal) ). % 1.04/1.11 % 1.04/1.11 cnf(clsarity_RealDef__Oreal__OrderedGroup_Ocancel__ab__semigroup__add,axiom, % 1.04/1.11 class_OrderedGroup_Ocancel__ab__semigroup__add(tc_RealDef_Oreal) ). % 1.04/1.11 % 1.04/1.11 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__ring__strict,axiom, % 1.04/1.11 class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal) ). % 1.04/1.11 % 1.04/1.11 cnf(clsarity_RealDef__Oreal__RealVector_Oreal__normed__div__algebra,axiom, % 1.04/1.11 class_RealVector_Oreal__normed__div__algebra(tc_RealDef_Oreal) ). % 1.04/1.11 % 1.04/1.11 cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__group__add,axiom, % 1.04/1.11 class_OrderedGroup_Opordered__ab__group__add(tc_RealDef_Oreal) ). % 1.04/1.11 % 1.04/1.11 cnf(clsarity_RealDef__Oreal__OrderedGroup_Olordered__ab__group__add,axiom, % 1.04/1.11 class_OrderedGroup_Olordered__ab__group__add(tc_RealDef_Oreal) ). % 1.04/1.11 % 1.04/1.11 cnf(clsarity_RealDef__Oreal__OrderedGroup_Ocancel__semigroup__add,axiom, % 1.04/1.11 class_OrderedGroup_Ocancel__semigroup__add(tc_RealDef_Oreal) ). % 1.04/1.11 % 1.04/1.11 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Opordered__semiring,axiom, % 1.04/1.11 class_Ring__and__Field_Opordered__semiring(tc_RealDef_Oreal) ). % 1.04/1.11 % 1.04/1.11 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__semiring,axiom, % 1.04/1.11 class_Ring__and__Field_Oordered__semiring(tc_RealDef_Oreal) ). % 1.04/1.11 % 1.04/1.11 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ono__zero__divisors,axiom, % 1.04/1.11 class_Ring__and__Field_Ono__zero__divisors(tc_RealDef_Oreal) ). % 1.04/1.11 % 1.04/1.11 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Odivision__by__zero,axiom, % 1.04/1.11 class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal) ). % 1.04/1.11 % 1.04/1.11 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__semidom,axiom, % 1.04/1.11 class_Ring__and__Field_Oordered__semidom(tc_RealDef_Oreal) ). % 1.04/1.11 % 1.04/1.11 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring__1,axiom, % 1.04/1.11 class_Ring__and__Field_Ocomm__semiring__1(tc_RealDef_Oreal) ). % 1.04/1.11 % 1.04/1.11 cnf(clsarity_RealDef__Oreal__RealVector_Oreal__normed__algebra,axiom, % 1.04/1.11 class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal) ). % 1.04/1.11 % 1.04/1.11 cnf(clsarity_RealDef__Oreal__OrderedGroup_Oab__semigroup__mult,axiom, % 1.04/1.11 class_OrderedGroup_Oab__semigroup__mult(tc_RealDef_Oreal) ). % 1.04/1.11 % 1.04/1.11 cnf(clsarity_RealDef__Oreal__RealVector_Oreal__normed__vector,axiom, % 1.04/1.11 class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal) ). % 1.04/1.11 % 1.04/1.11 cnf(clsarity_RealDef__Oreal__OrderedGroup_Ocomm__monoid__mult,axiom, % 1.04/1.11 class_OrderedGroup_Ocomm__monoid__mult(tc_RealDef_Oreal) ). % 1.04/1.11 % 1.04/1.11 cnf(clsarity_RealDef__Oreal__OrderedGroup_Oab__semigroup__add,axiom, % 1.04/1.11 class_OrderedGroup_Oab__semigroup__add(tc_RealDef_Oreal) ). % 1.04/1.11 % 1.04/1.11 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Opordered__ring,axiom, % 1.04/1.11 class_Ring__and__Field_Opordered__ring(tc_RealDef_Oreal) ). % 1.04/1.11 % 1.04/1.11 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__field,axiom, % 1.04/1.11 class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal) ). % 1.04/1.11 % 1.04/1.11 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring,axiom, % 1.04/1.11 class_Ring__and__Field_Ocomm__semiring(tc_RealDef_Oreal) ). % 1.04/1.11 % 1.04/1.11 cnf(clsarity_RealDef__Oreal__RealVector_Oreal__normed__field,axiom, % 1.04/1.11 class_RealVector_Oreal__normed__field(tc_RealDef_Oreal) ). % 1.04/1.11 % 1.04/1.11 cnf(clsarity_RealDef__Oreal__OrderedGroup_Ocomm__monoid__add,axiom, % 1.04/1.11 class_OrderedGroup_Ocomm__monoid__add(tc_RealDef_Oreal) ). % 1.04/1.11 % 1.04/1.11 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ozero__neq__one,axiom, % 1.04/1.11 class_Ring__and__Field_Ozero__neq__one(tc_RealDef_Oreal) ). % 1.04/1.11 % 1.04/1.11 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__idom,axiom, % 1.04/1.11 class_Ring__and__Field_Oordered__idom(tc_RealDef_Oreal) ). % 1.04/1.11 % 1.04/1.11 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Omult__mono1,axiom, % 1.04/1.11 class_Ring__and__Field_Omult__mono1(tc_RealDef_Oreal) ). % 1.04/1.11 % 1.04/1.11 cnf(clsarity_RealDef__Oreal__OrderedGroup_Oab__group__add,axiom, % 1.04/1.11 class_OrderedGroup_Oab__group__add(tc_RealDef_Oreal) ). % 1.04/1.11 % 1.04/1.11 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Omult__zero,axiom, % 1.04/1.11 class_Ring__and__Field_Omult__zero(tc_RealDef_Oreal) ). % 1.04/1.11 % 1.04/1.11 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Omult__mono,axiom, % 1.04/1.11 class_Ring__and__Field_Omult__mono(tc_RealDef_Oreal) ). % 1.04/1.11 % 1.04/1.11 cnf(clsarity_RealDef__Oreal__OrderedGroup_Omonoid__mult,axiom, % 1.04/1.11 class_OrderedGroup_Omonoid__mult(tc_RealDef_Oreal) ). % 1.04/1.11 % 1.04/1.11 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Osemiring,axiom, % 1.04/1.11 class_Ring__and__Field_Osemiring(tc_RealDef_Oreal) ). % 1.04/1.11 % 1.04/1.11 cnf(clsarity_RealDef__Oreal__OrderedGroup_Omonoid__add,axiom, % 1.04/1.11 class_OrderedGroup_Omonoid__add(tc_RealDef_Oreal) ). % 1.04/1.11 % 1.04/1.11 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Osgn__if,axiom, % 1.04/1.11 class_Ring__and__Field_Osgn__if(tc_RealDef_Oreal) ). % 1.04/1.11 % 1.04/1.11 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ofield,axiom, % 1.04/1.11 class_Ring__and__Field_Ofield(tc_RealDef_Oreal) ). % 1.04/1.11 % 1.04/1.11 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oidom,axiom, % 1.04/1.11 class_Ring__and__Field_Oidom(tc_RealDef_Oreal) ). % 1.04/1.11 % 1.04/1.11 cnf(clsarity_RealDef__Oreal__Orderings_Opreorder,axiom, % 1.04/1.11 class_Orderings_Opreorder(tc_RealDef_Oreal) ). % 1.04/1.11 % 1.04/1.11 cnf(clsarity_RealDef__Oreal__Orderings_Olinorder,axiom, % 1.04/1.11 class_Orderings_Olinorder(tc_RealDef_Oreal) ). % 1.04/1.11 % 1.04/1.11 cnf(clsarity_RealDef__Oreal__Orderings_Oorder,axiom, % 1.04/1.11 class_Orderings_Oorder(tc_RealDef_Oreal) ). % 1.04/1.11 % 1.04/1.11 cnf(clsarity_RealDef__Oreal__Int_Onumber__ring,axiom, % 1.04/1.11 class_Int_Onumber__ring(tc_RealDef_Oreal) ). % 1.04/1.11 % 1.04/1.11 cnf(clsarity_RealDef__Oreal__Power_Opower,axiom, % 1.04/1.11 class_Power_Opower(tc_RealDef_Oreal) ). % 1.04/1.11 % 1.04/1.11 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Oring__1__no__zero__divisors,axiom, % 1.04/1.11 class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Complex_Ocomplex) ). % 1.04/1.11 % 1.04/1.11 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Oring__no__zero__divisors,axiom, % 1.04/1.11 class_Ring__and__Field_Oring__no__zero__divisors(tc_Complex_Ocomplex) ). % 1.04/1.11 % 1.04/1.11 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ocancel__ab__semigroup__add,axiom, % 1.04/1.11 class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Complex_Ocomplex) ). % 1.04/1.11 % 1.04/1.11 cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__div__algebra,axiom, % 1.04/1.11 class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex) ). % 1.04/1.11 % 1.04/1.11 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ocancel__semigroup__add,axiom, % 1.04/1.11 class_OrderedGroup_Ocancel__semigroup__add(tc_Complex_Ocomplex) ). % 1.04/1.11 % 1.04/1.11 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ono__zero__divisors,axiom, % 1.04/1.11 class_Ring__and__Field_Ono__zero__divisors(tc_Complex_Ocomplex) ). % 1.04/1.11 % 1.04/1.11 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Odivision__by__zero,axiom, % 1.04/1.11 class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex) ). % 1.04/1.11 % 1.04/1.11 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__1,axiom, % 1.04/1.11 class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ). % 1.04/1.11 % 1.04/1.11 cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__algebra,axiom, % 1.04/1.11 class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex) ). % 1.04/1.11 % 1.04/1.11 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Oab__semigroup__mult,axiom, % 1.04/1.11 class_OrderedGroup_Oab__semigroup__mult(tc_Complex_Ocomplex) ). % 1.04/1.11 % 1.04/1.11 cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__vector,axiom, % 1.04/1.11 class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) ). % 1.04/1.11 % 1.04/1.11 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ocomm__monoid__mult,axiom, % 1.04/1.11 class_OrderedGroup_Ocomm__monoid__mult(tc_Complex_Ocomplex) ). % 1.04/1.11 % 1.04/1.11 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Oab__semigroup__add,axiom, % 1.04/1.11 class_OrderedGroup_Oab__semigroup__add(tc_Complex_Ocomplex) ). % 1.04/1.11 % 1.04/1.11 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring,axiom, % 1.04/1.11 class_Ring__and__Field_Ocomm__semiring(tc_Complex_Ocomplex) ). % 1.04/1.11 % 1.04/1.11 cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__field,axiom, % 1.04/1.11 class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex) ). % 1.04/1.11 % 1.04/1.11 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ocomm__monoid__add,axiom, % 1.04/1.11 class_OrderedGroup_Ocomm__monoid__add(tc_Complex_Ocomplex) ). % 1.04/1.11 % 1.04/1.11 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ozero__neq__one,axiom, % 1.04/1.11 class_Ring__and__Field_Ozero__neq__one(tc_Complex_Ocomplex) ). % 1.04/1.11 % 1.04/1.11 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Oab__group__add,axiom, % 1.04/1.11 class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex) ). % 1.04/1.11 % 1.04/1.11 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Omult__zero,axiom, % 1.04/1.11 class_Ring__and__Field_Omult__zero(tc_Complex_Ocomplex) ). % 1.04/1.11 % 1.04/1.11 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__mult,axiom, % 1.04/1.11 class_OrderedGroup_Omonoid__mult(tc_Complex_Ocomplex) ). % 1.04/1.11 % 1.04/1.11 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Osemiring,axiom, % 1.04/1.11 class_Ring__and__Field_Osemiring(tc_Complex_Ocomplex) ). % 1.04/1.11 % 1.04/1.11 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__add,axiom, % 1.04/1.11 class_OrderedGroup_Omonoid__add(tc_Complex_Ocomplex) ). % 1.04/1.11 % 1.04/1.11 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ofield,axiom, % 1.04/1.11 class_Ring__and__Field_Ofield(tc_Complex_Ocomplex) ). % 1.04/1.11 % 1.04/1.11 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Oidom,axiom, % 1.04/1.11 class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ). % 1.04/1.11 % 1.04/1.11 cnf(clsarity_Complex__Ocomplex__Int_Onumber__ring,axiom, % 1.04/1.11 class_Int_Onumber__ring(tc_Complex_Ocomplex) ). % 1.04/1.11 % 1.04/1.11 cnf(clsarity_Complex__Ocomplex__Power_Opower,axiom, % 1.04/1.11 class_Power_Opower(tc_Complex_Ocomplex) ). % 1.04/1.11 % 1.04/1.11 %------------------------------------------------------------------------------ % 1.04/1.11 %------------------------------------------- % 1.04/1.11 % Proof found % 1.04/1.11 % SZS status Theorem for theBenchmark % 1.04/1.11 % SZS output start Proof % 1.04/1.11 %ClaNum:588(EqnAxiom:84) % 1.04/1.11 %VarNum:4104(SingletonVarNum:1185) % 1.04/1.11 %MaxLitNum:6 % 1.04/1.11 %MaxfuncDepth:3 % 1.04/1.11 %SharedTerms:91 % 1.04/1.11 %goalClause: 160 163 169 % 1.04/1.11 %singleGoalClaCount:3 % 1.04/1.11 [85]P1(a1) % 1.04/1.11 [86]P2(a1) % 1.04/1.11 [87]P2(a2) % 1.04/1.11 [88]P39(a1) % 1.04/1.11 [89]P3(a1) % 1.04/1.11 [90]P41(a1) % 1.04/1.11 [91]P42(a1) % 1.04/1.11 [92]P40(a1) % 1.04/1.11 [93]P15(a1) % 1.04/1.11 [94]P22(a1) % 1.04/1.11 [95]P22(a2) % 1.04/1.11 [96]P16(a1) % 1.04/1.11 [97]P20(a1) % 1.04/1.11 [98]P17(a1) % 1.04/1.11 [99]P21(a1) % 1.04/1.11 [100]P27(a1) % 1.04/1.11 [101]P27(a2) % 1.04/1.11 [102]P4(a1) % 1.04/1.11 [103]P4(a2) % 1.04/1.11 [104]P32(a1) % 1.04/1.11 [105]P32(a2) % 1.04/1.11 [106]P5(a1) % 1.04/1.11 [107]P5(a2) % 1.04/1.11 [108]P18(a1) % 1.04/1.11 [109]P18(a2) % 1.04/1.11 [110]P28(a1) % 1.04/1.11 [111]P28(a2) % 1.04/1.11 [112]P29(a1) % 1.04/1.11 [113]P29(a2) % 1.04/1.11 [114]P33(a1) % 1.04/1.11 [115]P33(a2) % 1.04/1.11 [116]P34(a1) % 1.04/1.11 [117]P44(a1) % 1.04/1.11 [118]P45(a1) % 1.04/1.11 [119]P46(a1) % 1.04/1.11 [120]P35(a1) % 1.04/1.11 [121]P36(a1) % 1.04/1.11 [122]P37(a1) % 1.04/1.11 [123]P37(a2) % 1.04/1.11 [124]P47(a1) % 1.04/1.11 [125]P47(a2) % 1.04/1.11 [126]P49(a1) % 1.04/1.11 [127]P49(a2) % 1.04/1.11 [128]P38(a1) % 1.04/1.11 [129]P38(a2) % 1.04/1.11 [130]P23(a1) % 1.04/1.11 [131]P23(a2) % 1.04/1.11 [132]P48(a1) % 1.04/1.11 [133]P48(a2) % 1.04/1.11 [134]P50(a1) % 1.04/1.11 [135]P51(a1) % 1.04/1.11 [136]P51(a2) % 1.04/1.11 [137]P8(a1) % 1.04/1.11 [138]P8(a2) % 1.04/1.11 [139]P9(a1) % 1.04/1.11 [140]P9(a2) % 1.04/1.11 [141]P14(a1) % 1.04/1.11 [142]P14(a2) % 1.04/1.11 [143]P10(a1) % 1.04/1.11 [144]P10(a2) % 1.04/1.11 [145]P31(a1) % 1.04/1.11 [146]P31(a2) % 1.04/1.11 [147]P12(a1) % 1.04/1.11 [148]P12(a2) % 1.04/1.11 [149]P13(a1) % 1.04/1.11 [150]P13(a2) % 1.04/1.11 [151]P30(a1) % 1.04/1.11 [152]P30(a2) % 1.04/1.11 [153]P19(a1) % 1.04/1.11 [154]P19(a2) % 1.04/1.11 [155]P43(a1) % 1.04/1.11 [156]P24(a1) % 1.04/1.11 [157]P25(a1) % 1.04/1.11 [158]P26(a1) % 1.04/1.11 [160]P7(a14,f3(a1),a1) % 1.04/1.11 [163]P6(f12(a16,a2),a14,a1) % 1.04/1.11 [168]~P7(f3(a1),f4(f3(a1),f3(a1),a1),a1) % 1.04/1.11 [169]~P6(f12(f9(a15,f3(a2),a2),a2),f12(f9(a15,a16,a2),a2),a1) % 1.04/1.11 [159]P6(x1591,x1591,a1) % 1.04/1.11 [167]~P7(x1671,x1671,a1) % 1.04/1.11 [162]P7(f3(a1),f8(x1621),a1) % 1.04/1.11 [164]P7(f3(a1),f17(x1641,x1642),a1) % 1.04/1.11 [165]E(f4(x1651,x1652,a1),f4(x1652,x1651,a1)) % 1.04/1.11 [166]E(f4(f4(x1661,x1662,a1),x1663,a1),f4(x1661,f4(x1662,x1663,a1),a1)) % 1.04/1.11 [243]P7(f13(x2431),x2431,a1)+~P7(f3(a1),x2431,a1) % 1.04/1.11 [255]E(x2551,f3(a1))+P7(f3(a1),f4(x2551,x2551,a1),a1) % 1.04/1.11 [170]~P28(x1701)+E(f12(f3(x1701),x1701),f3(a1)) % 1.04/1.11 [171]~P40(x1711)+E(f5(f3(x1711),x1711),f3(x1711)) % 1.04/1.11 [172]~P28(x1721)+E(f5(f3(x1721),x1721),f3(x1721)) % 1.04/1.11 [173]~P50(x1731)+E(f5(f3(x1731),x1731),f3(x1731)) % 1.04/1.11 [203]~P3(x2031)+E(f6(f3(x2031),f3(x2031),x2031),f3(x2031)) % 1.04/1.11 [213]~P28(x2131)+P6(f12(f3(x2131),x2131),f3(a1),a1) % 1.04/1.11 [254]~P28(x2541)+~P7(f3(a1),f12(f3(x2541),x2541),a1) % 1.04/1.11 [180]~P28(x1801)+E(f12(f5(f3(x1801),x1801),x1801),f3(a1)) % 1.04/1.11 [320]~P39(x3201)+E(f6(f4(f3(x3201),f3(x3201),x3201),f4(f3(x3201),f3(x3201),x3201),x3201),f3(x3201)) % 1.04/1.11 [568]~P39(x5681)+P6(f6(f4(f3(x5681),f3(x5681),x5681),f4(f3(x5681),f3(x5681),x5681),x5681),f3(x5681),x5681) % 1.04/1.11 [588]~P39(x5881)+~P7(f3(x5881),f6(f4(f3(x5881),f3(x5881),x5881),f4(f3(x5881),f3(x5881),x5881),x5881),x5881) % 1.04/1.11 [178]~P24(x1782)+P6(x1781,x1781,x1782) % 1.04/1.11 [179]~P26(x1792)+P6(x1791,x1791,x1792) % 1.04/1.11 [209]~P7(x2092,x2092,x2091)+~P24(x2091) % 1.04/1.11 [210]~P7(x2102,x2102,x2101)+~P25(x2101) % 1.04/1.11 [211]~P7(x2112,x2112,x2111)+~P26(x2111) % 1.04/1.11 [216]P6(x2162,x2161,a1)+P6(x2161,x2162,a1) % 1.04/1.11 [239]~P7(x2391,x2392,a1)+P6(x2391,x2392,a1) % 1.04/1.11 [181]~P11(x1812)+E(f4(x1811,x1811,x1812),x1811) % 1.04/1.11 [208]~P28(x2082)+P6(f3(a1),f12(x2081,x2082),a1) % 1.04/1.11 [221]P7(x2211,f8(x2212),a1)+P7(f3(a1),x2211,a1) % 1.04/1.11 [238]~P28(x2381)+~P7(f12(x2382,x2381),f3(a1),a1) % 1.04/1.11 [242]P7(x2421,f8(x2422),a1)+~P6(x2421,f3(a1),a1) % 1.04/1.11 [259]~P39(x2591)+P6(f3(x2591),f4(x2592,x2592,x2591),x2591) % 1.04/1.11 [313]~P39(x3131)+~P7(f4(x3132,x3132,x3131),f3(x3131),x3131) % 1.04/1.11 [177]~P40(x1772)+E(f5(f5(x1771,x1772),x1772),f5(x1771,x1772)) % 1.04/1.11 [182]~P27(x1822)+E(f6(x1821,f3(x1822),x1822),x1821) % 1.04/1.11 [183]~P4(x1832)+E(f6(x1831,f3(x1832),x1832),x1831) % 1.04/1.11 [184]~P18(x1842)+E(f6(x1841,f3(x1842),x1842),x1841) % 1.04/1.11 [186]~P27(x1861)+E(f6(f3(x1861),x1862,x1861),x1862) % 1.04/1.11 [187]~P4(x1871)+E(f6(f3(x1871),x1872,x1871),x1872) % 1.04/1.11 [188]~P18(x1881)+E(f6(f3(x1881),x1882,x1881),x1882) % 1.04/1.11 [190]~P22(x1902)+E(f4(x1901,f3(x1902),x1902),f3(x1902)) % 1.04/1.11 [191]~P27(x1912)+E(f4(x1911,f3(x1912),x1912),f3(x1912)) % 1.04/1.11 [192]~P47(x1922)+E(f4(x1921,f3(x1922),x1922),f3(x1922)) % 1.04/1.11 [193]~P38(x1932)+E(f4(x1931,f3(x1932),x1932),f3(x1932)) % 1.04/1.11 [194]~P29(x1941)+E(f7(f3(x1941),x1942,x1941),f3(x1941)) % 1.04/1.11 [195]~P33(x1951)+E(f7(f3(x1951),x1952,x1951),f3(x1951)) % 1.04/1.11 [197]~P22(x1971)+E(f4(f3(x1971),x1972,x1971),f3(x1971)) % 1.04/1.11 [199]~P27(x1991)+E(f4(f3(x1991),x1992,x1991),f3(x1991)) % 1.04/1.11 [200]~P47(x2001)+E(f4(f3(x2001),x2002,x2001),f3(x2001)) % 1.04/1.11 [201]~P38(x2011)+E(f4(f3(x2011),x2012,x2011),f3(x2011)) % 1.04/1.11 [223]~P27(x2233)+E(f4(x2231,x2232,x2233),f4(x2232,x2231,x2233)) % 1.04/1.11 [225]~P27(x2253)+E(f6(x2251,x2252,x2253),f6(x2252,x2251,x2253)) % 1.04/1.11 [226]~P4(x2263)+E(f6(x2261,x2262,x2263),f6(x2262,x2261,x2263)) % 1.04/1.11 [291]~P11(x2913)+E(f4(x2911,f4(x2911,x2912,x2913),x2913),f4(x2911,x2912,x2913)) % 1.04/1.11 [292]~P30(x2922)+E(f4(f12(x2921,x2922),f12(x2923,x2922),a1),f12(f4(x2921,x2923,x2922),x2922)) % 1.04/1.11 [293]~P40(x2932)+E(f4(f5(x2931,x2932),f5(x2933,x2932),x2932),f5(f4(x2931,x2933,x2932),x2932)) % 1.04/1.11 [294]~P30(x2942)+E(f4(f5(x2941,x2942),f5(x2943,x2942),x2942),f5(f4(x2941,x2943,x2942),x2942)) % 1.04/1.11 [331]~P19(x3313)+E(f4(f10(x3311,x3312,x3313),x3311,x3313),f4(x3311,f10(x3311,x3312,x3313),x3313)) % 1.04/1.11 [436]~P6(f12(x4362,a2),x4363,a1)+P6(f12(f9(x4361,x4362,a2),a2),f17(x4361,x4363),a1) % 1.04/1.11 [493]~P22(x4933)+P6(f12(f4(x4931,x4932,x4933),x4933),f4(f12(x4931,x4933),f12(x4932,x4933),a1),a1) % 1.04/1.11 [553]~P39(x5531)+P6(f3(x5531),f6(f4(x5532,x5532,x5531),f4(x5533,x5533,x5531),x5531),x5531) % 1.04/1.11 [584]~P39(x5841)+~P7(f6(f4(x5842,x5842,x5841),f4(x5843,x5843,x5841),x5841),f3(x5841),x5841) % 1.04/1.11 [321]~P27(x3214)+E(f4(x3211,f4(x3212,x3213,x3214),x3214),f4(x3212,f4(x3211,x3213,x3214),x3214)) % 1.04/1.11 [322]~P27(x3224)+E(f6(x3221,f6(x3222,x3223,x3224),x3224),f6(x3222,f6(x3221,x3223,x3224),x3224)) % 1.04/1.11 [323]~P4(x3234)+E(f6(x3231,f6(x3232,x3233,x3234),x3234),f6(x3232,f6(x3231,x3233,x3234),x3234)) % 1.04/1.11 [324]~P9(x3244)+E(f6(x3241,f6(x3242,x3243,x3244),x3244),f6(x3242,f6(x3241,x3243,x3244),x3244)) % 1.04/1.11 [329]~P27(x3293)+E(f4(f4(x3291,x3292,x3293),x3294,x3293),f4(x3291,f4(x3292,x3294,x3293),x3293)) % 1.04/1.11 [330]~P10(x3303)+E(f4(f4(x3301,x3302,x3303),x3304,x3303),f4(x3301,f4(x3302,x3304,x3303),x3303)) % 1.04/1.11 [332]~P27(x3323)+E(f6(f6(x3321,x3322,x3323),x3324,x3323),f6(x3321,f6(x3322,x3324,x3323),x3323)) % 1.04/1.11 [333]~P4(x3333)+E(f6(f6(x3331,x3332,x3333),x3334,x3333),f6(x3331,f6(x3332,x3334,x3333),x3333)) % 1.04/1.11 [334]~P8(x3343)+E(f6(f6(x3341,x3342,x3343),x3344,x3343),f6(x3341,f6(x3342,x3344,x3343),x3343)) % 1.04/1.11 [335]~P27(x3353)+E(f4(f4(x3351,x3352,x3353),x3354,x3353),f4(f4(x3351,x3354,x3353),x3352,x3353)) % 1.04/1.11 [336]~P27(x3363)+E(f6(f6(x3361,x3362,x3363),x3364,x3363),f6(f6(x3361,x3364,x3363),x3362,x3363)) % 1.04/1.11 [442]~P22(x4423)+E(f6(f4(x4421,x4422,x4423),f4(x4421,x4424,x4423),x4423),f4(x4421,f6(x4422,x4424,x4423),x4423)) % 1.04/1.11 [443]~P27(x4433)+E(f6(f4(x4431,x4432,x4433),f4(x4431,x4434,x4433),x4433),f4(x4431,f6(x4432,x4434,x4433),x4433)) % 1.04/1.11 [444]~P29(x4443)+E(f6(f7(x4441,x4442,x4443),f7(x4444,x4442,x4443),x4443),f7(f6(x4441,x4444,x4443),x4442,x4443)) % 1.04/1.11 [445]~P33(x4453)+E(f6(f7(x4451,x4452,x4453),f7(x4454,x4452,x4453),x4453),f7(f6(x4451,x4454,x4453),x4452,x4453)) % 1.04/1.11 [447]~P22(x4473)+E(f6(f4(x4471,x4472,x4473),f4(x4474,x4472,x4473),x4473),f4(f6(x4471,x4474,x4473),x4472,x4473)) % 1.04/1.11 [449]~P31(x4493)+E(f6(f4(x4491,x4492,x4493),f4(x4494,x4492,x4493),x4493),f4(f6(x4491,x4494,x4493),x4492,x4493)) % 1.04/1.11 [450]~P27(x4503)+E(f4(f10(x4501,x4502,x4503),f10(x4504,x4502,x4503),x4503),f10(f4(x4501,x4504,x4503),x4502,x4503)) % 1.04/1.11 [451]~P14(x4513)+E(f4(f10(x4511,x4512,x4513),f10(x4514,x4512,x4513),x4513),f10(f4(x4511,x4514,x4513),x4512,x4513)) % 1.04/1.11 [452]~P27(x4523)+E(f6(f4(x4521,x4522,x4523),f4(x4524,x4522,x4523),x4523),f4(f6(x4521,x4524,x4523),x4522,x4523)) % 1.04/1.11 [510]~P27(x5103)+E(f4(f4(x5101,x5102,x5103),f4(x5104,x5105,x5103),x5103),f4(f4(x5101,x5104,x5103),f4(x5102,x5105,x5103),x5103)) % 1.04/1.11 [511]~P27(x5113)+E(f6(f6(x5111,x5112,x5113),f6(x5114,x5115,x5113),x5113),f6(f6(x5111,x5114,x5113),f6(x5112,x5115,x5113),x5113)) % 1.04/1.11 [583]~P51(x5833)+E(f6(f4(x5831,x5832,x5833),f6(f4(x5834,x5832,x5833),x5835,x5833),x5833),f6(f4(f6(x5831,x5834,x5833),x5832,x5833),x5835,x5833)) % 1.04/1.11 [280]~P15(x2801)+~P6(f3(x2801),f3(x2801),x2801)+E(f6(f3(x2801),f3(x2801),x2801),f3(x2801)) % 1.04/1.11 [240]E(x2401,x2402)+P7(x2401,x2402,a1)+~P6(x2401,x2402,a1) % 1.04/1.11 [256]E(x2561,x2562)+~P6(x2562,x2561,a1)+~P6(x2561,x2562,a1) % 1.04/1.11 [174]~P28(x1742)+E(x1741,f3(x1742))+~E(f12(x1741,x1742),f3(a1)) % 1.04/1.11 [175]~P40(x1752)+~E(f5(x1751,x1752),f3(x1752))+E(x1751,f3(x1752)) % 1.04/1.11 [176]~P28(x1762)+~E(f5(x1761,x1762),f3(x1762))+E(x1761,f3(x1762)) % 1.04/1.11 [212]~P28(x2122)+E(x2121,f3(x2122))+P7(f3(a1),f12(x2121,x2122),a1) % 1.04/1.11 [214]~P3(x2142)+~E(f6(x2141,x2141,x2142),f3(x2142))+E(x2141,f3(x2142)) % 1.04/1.11 [241]~P28(x2412)+E(x2411,f3(x2412))+~P6(f12(x2411,x2412),f3(a1),a1) % 1.04/1.11 [282]~P40(x2821)+~P7(f3(x2821),x2822,x2821)+P7(f3(x2821),f5(x2822,x2821),x2821) % 1.04/1.11 [283]~P40(x2832)+~P7(x2831,f3(x2832),x2832)+P7(f5(x2831,x2832),f3(x2832),x2832) % 1.04/1.11 [288]~P40(x2882)+~P7(f5(x2881,x2882),f3(x2882),x2882)+P7(x2881,f3(x2882),x2882) % 1.04/1.11 [289]~P40(x2891)+~P7(f3(x2891),f5(x2892,x2891),x2891)+P7(f3(x2891),x2892,x2891) % 1.04/1.11 [303]~P7(x3031,x3032,a1)+P7(x3031,f11(x3031,x3032),a1)+~P6(f3(a1),x3031,a1) % 1.04/1.11 [304]~P7(x3041,x3042,a1)+P7(f11(x3041,x3042),x3042,a1)+~P6(f3(a1),x3041,a1) % 1.04/1.11 [305]~P3(x3051)+~P7(f3(x3051),x3052,x3051)+P7(f3(x3051),f6(x3052,x3052,x3051),x3051) % 1.04/1.11 [307]~P3(x3071)+~P6(f3(x3071),x3072,x3071)+P6(f3(x3071),f6(x3072,x3072,x3071),x3071) % 1.04/1.11 [310]~P3(x3102)+~P7(x3101,f3(x3102),x3102)+P7(f6(x3101,x3101,x3102),f3(x3102),x3102) % 1.04/1.11 [311]~P40(x3112)+~P7(x3111,f3(x3112),x3112)+P7(f6(x3111,x3111,x3112),f3(x3112),x3112) % 1.04/1.11 [312]~P3(x3122)+~P6(x3121,f3(x3122),x3122)+P6(f6(x3121,x3121,x3122),f3(x3122),x3122) % 1.04/1.11 [337]~P3(x3372)+~P7(f6(x3371,x3371,x3372),f3(x3372),x3372)+P7(x3371,f3(x3372),x3372) % 1.04/1.11 [338]~P40(x3382)+~P7(f6(x3381,x3381,x3382),f3(x3382),x3382)+P7(x3381,f3(x3382),x3382) % 1.04/1.11 [340]~P3(x3402)+~P6(f6(x3401,x3401,x3402),f3(x3402),x3402)+P6(x3401,f3(x3402),x3402) % 1.04/1.11 [341]~P3(x3411)+~P7(f3(x3411),f6(x3412,x3412,x3411),x3411)+P7(f3(x3411),x3412,x3411) % 1.04/1.11 [342]~P3(x3421)+~P6(f3(x3421),f6(x3422,x3422,x3421),x3421)+P6(f3(x3421),x3422,x3421) % 1.04/1.11 [347]~P7(f3(a1),x3472,a1)+~P7(f3(a1),x3471,a1)+P7(f3(a1),f4(x3471,x3472,a1),a1) % 1.04/1.11 [202]~P32(x2022)+~P5(x2022)+E(f6(x2021,f3(x2022),x2022),x2021) % 1.04/1.11 [206]~P2(x2062)+~P33(x2062)+E(f7(x2061,f3(x2062),x2062),f3(x2062)) % 1.04/1.11 [285]~P2(x2851)+~P33(x2851)+E(f7(f4(f3(x2851),x2852,x2851),x2852,x2851),f3(x2851)) % 1.04/1.11 [229]P6(x2292,x2291,x2293)+~P25(x2293)+P7(x2291,x2292,x2293) % 1.04/1.11 [231]P6(x2312,x2311,x2313)+~P25(x2313)+P6(x2311,x2312,x2313) % 1.04/1.11 [244]~P24(x2443)+~P7(x2441,x2442,x2443)+P6(x2441,x2442,x2443) % 1.04/1.11 [245]~P26(x2453)+~P7(x2451,x2452,x2453)+P6(x2451,x2452,x2453) % 1.04/1.11 [262]~P7(x2623,x2622,x2621)+~P24(x2621)+~P7(x2622,x2623,x2621) % 1.04/1.11 [263]~P7(x2633,x2632,x2631)+~P25(x2631)+~P7(x2632,x2633,x2631) % 1.04/1.11 [265]~P6(x2653,x2652,x2651)+~P25(x2651)+~P7(x2652,x2653,x2651) % 1.04/1.11 [268]~P7(x2683,x2682,x2681)+~P26(x2681)+~P7(x2682,x2683,x2681) % 1.04/1.11 [269]~P6(x2693,x2692,x2691)+~P26(x2691)+~P7(x2692,x2693,x2691) % 1.04/1.11 [290]~P6(x2901,x2903,a1)+P6(x2901,x2902,a1)+~P6(x2903,x2902,a1) % 1.04/1.11 [215]~P48(x2152)+~E(f10(x2151,x2153,x2152),f3(x2152))+E(x2151,f3(x2152)) % 1.04/1.11 [257]E(x2571,x2572)+~E(f4(x2573,x2571,a1),f4(x2573,x2572,a1))+E(x2573,f3(a1)) % 1.04/1.11 [258]E(x2581,x2582)+~E(f4(x2581,x2583,a1),f4(x2582,x2583,a1))+E(x2583,f3(a1)) % 1.04/1.11 [306]~P41(x3061)+~P7(f3(x3061),x3062,x3061)+P7(f3(x3061),f10(x3062,x3063,x3061),x3061) % 1.04/1.11 [308]~P41(x3081)+~P6(f3(x3081),x3082,x3081)+P6(f3(x3081),f10(x3082,x3083,x3081),x3081) % 1.04/1.11 [309]~P40(x3091)+~P6(f3(x3091),x3092,x3091)+P6(f3(x3091),f10(x3092,x3093,x3091),x3091) % 1.04/1.11 [339]~P40(x3392)+~P7(f10(x3391,x3393,x3392),f3(x3392),x3392)+P7(x3391,f3(x3392),x3392) % 1.04/1.11 [437]~P7(x4371,x4373,a1)+P7(f4(x4371,x4372,a1),f4(x4373,x4372,a1),a1)+~P7(f3(a1),x4372,a1) % 1.04/1.11 [438]~P7(x4382,x4383,a1)+P7(f4(x4381,x4382,a1),f4(x4381,x4383,a1),a1)+~P7(f3(a1),x4381,a1) % 1.04/1.11 [439]~P6(x4391,x4393,a1)+P6(f4(x4391,x4392,a1),f4(x4393,x4392,a1),a1)+~P7(f3(a1),x4392,a1) % 1.04/1.11 [440]~P6(x4402,x4403,a1)+P6(f4(x4401,x4402,a1),f4(x4401,x4403,a1),a1)+~P7(f3(a1),x4401,a1) % 1.04/1.11 [521]P7(x5211,x5212,a1)+~P7(f4(x5211,x5213,a1),f4(x5212,x5213,a1),a1)+~P7(f3(a1),x5213,a1) % 1.04/1.11 [522]P6(x5221,x5222,a1)+~P6(f4(x5223,x5221,a1),f4(x5223,x5222,a1),a1)+~P7(f3(a1),x5223,a1) % 1.04/1.11 [523]P6(x5231,x5232,a1)+~P6(f4(x5231,x5233,a1),f4(x5232,x5233,a1),a1)+~P7(f3(a1),x5233,a1) % 1.04/1.11 [261]~P33(x2612)+E(x2611,f3(x2612))+E(f7(f4(x2613,x2611,x2612),x2611,x2612),x2613) % 1.04/1.11 [453]~P39(x4532)+E(x4531,f3(x4532))+~E(f6(f4(x4533,x4533,x4532),f4(x4531,x4531,x4532),x4532),f3(x4532)) % 1.04/1.11 [454]~P39(x4542)+E(x4541,f3(x4542))+~E(f6(f4(x4541,x4541,x4542),f4(x4543,x4543,x4542),x4542),f3(x4542)) % 1.04/1.11 [554]~P39(x5542)+E(x5541,f3(x5542))+P7(f3(x5542),f6(f4(x5543,x5543,x5542),f4(x5541,x5541,x5542),x5542),x5542) % 1.04/1.11 [555]~P39(x5552)+E(x5551,f3(x5552))+P7(f3(x5552),f6(f4(x5551,x5551,x5552),f4(x5553,x5553,x5552),x5552),x5552) % 1.04/1.11 [585]~P39(x5852)+E(x5851,f3(x5852))+~P6(f6(f4(x5853,x5853,x5852),f4(x5851,x5851,x5852),x5852),f3(x5852),x5852) % 1.04/1.11 [586]~P39(x5862)+E(x5861,f3(x5862))+~P6(f6(f4(x5861,x5861,x5862),f4(x5863,x5863,x5862),x5862),f3(x5862),x5862) % 1.04/1.11 [270]~P12(x2704)+E(x2701,x2702)+~E(f6(x2703,x2701,x2704),f6(x2703,x2702,x2704)) % 1.04/1.11 [271]~P13(x2714)+E(x2711,x2712)+~E(f6(x2713,x2711,x2714),f6(x2713,x2712,x2714)) % 1.04/1.11 [272]~P13(x2724)+E(x2721,x2722)+~E(f6(x2721,x2723,x2724),f6(x2722,x2723,x2724)) % 1.04/1.11 [355]~P20(x3553)+~P7(x3551,x3554,x3553)+P7(f6(x3551,x3552,x3553),f6(x3554,x3552,x3553),x3553) % 1.04/1.11 [356]~P21(x3563)+~P7(x3561,x3564,x3563)+P7(f6(x3561,x3562,x3563),f6(x3564,x3562,x3563),x3563) % 1.04/1.11 [357]~P20(x3573)+~P7(x3572,x3574,x3573)+P7(f6(x3571,x3572,x3573),f6(x3571,x3574,x3573),x3573) % 1.04/1.11 [358]~P21(x3583)+~P7(x3582,x3584,x3583)+P7(f6(x3581,x3582,x3583),f6(x3581,x3584,x3583),x3583) % 1.04/1.11 [359]~P16(x3593)+~P6(x3591,x3594,x3593)+P6(f6(x3591,x3592,x3593),f6(x3594,x3592,x3593),x3593) % 1.04/1.11 [360]~P20(x3603)+~P6(x3601,x3604,x3603)+P6(f6(x3601,x3602,x3603),f6(x3604,x3602,x3603),x3603) % 1.04/1.11 [361]~P16(x3613)+~P6(x3612,x3614,x3613)+P6(f6(x3611,x3612,x3613),f6(x3611,x3614,x3613),x3613) % 1.04/1.11 [362]~P20(x3623)+~P6(x3622,x3624,x3623)+P6(f6(x3621,x3622,x3623),f6(x3621,x3624,x3623),x3623) % 1.04/1.11 [489]~P20(x4893)+P7(x4891,x4892,x4893)+~P7(f6(x4894,x4891,x4893),f6(x4894,x4892,x4893),x4893) % 1.04/1.11 [490]~P20(x4903)+P7(x4901,x4902,x4903)+~P7(f6(x4901,x4904,x4903),f6(x4902,x4904,x4903),x4903) % 1.04/1.11 [491]~P20(x4913)+P6(x4911,x4912,x4913)+~P6(f6(x4914,x4911,x4913),f6(x4914,x4912,x4913),x4913) % 1.04/1.11 [492]~P20(x4923)+P6(x4921,x4922,x4923)+~P6(f6(x4921,x4924,x4923),f6(x4922,x4924,x4923),x4923) % 1.04/1.11 [345]~P2(x3453)+~P33(x3453)+E(f7(f4(x3451,x3452,x3453),x3454,x3453),f4(f7(x3451,x3454,x3453),x3452,x3453)) % 1.04/1.11 [455]~P33(x4552)+E(x4551,f3(x4552))+E(f7(f10(x4553,x4554,x4552),f10(x4551,x4554,x4552),x4552),f10(f7(x4553,x4551,x4552),x4554,x4552)) % 1.04/1.11 [456]~P2(x4563)+~P33(x4563)+E(f7(f10(x4561,x4562,x4563),f10(x4564,x4562,x4563),x4563),f10(f7(x4561,x4564,x4563),x4562,x4563)) % 1.04/1.11 [518]~P32(x5183)+~P5(x5183)+E(f6(f4(x5181,x5182,x5183),f4(x5181,x5184,x5183),x5183),f6(f4(x5181,x5184,x5183),f4(x5181,x5182,x5183),x5183)) % 1.04/1.11 [433]~P9(x4333)+E(f6(x4331,x4332,x4333),x4334)+~E(f6(x4331,f6(x4335,x4332,x4333),x4333),f6(x4335,x4334,x4333)) % 1.04/1.11 [516]~P2(x5163)+~P33(x5163)+E(f7(f4(x5161,x5162,x5163),f4(x5164,x5165,x5163),x5163),f4(f7(x5161,x5164,x5163),f7(x5162,x5165,x5163),x5163)) % 1.04/1.11 [286]E(x2861,x2862)+~E(f13(x2861),f13(x2862))+~P7(f3(a1),x2862,a1)+~P7(f3(a1),x2861,a1) % 1.04/1.11 [318]~P7(x3181,x3182,a1)+P7(f13(x3181),f13(x3182),a1)+~P7(f3(a1),x3182,a1)+~P7(f3(a1),x3181,a1) % 1.04/1.11 [319]~P6(x3191,x3192,a1)+P6(f13(x3191),f13(x3192),a1)+~P7(f3(a1),x3192,a1)+~P7(f3(a1),x3191,a1) % 1.04/1.11 [343]P7(x3431,x3432,a1)+~P7(f13(x3431),f13(x3432),a1)+~P7(f3(a1),x3432,a1)+~P7(f3(a1),x3431,a1) % 1.04/1.11 [344]P6(x3441,x3442,a1)+~P6(f13(x3441),f13(x3442),a1)+~P7(f3(a1),x3442,a1)+~P7(f3(a1),x3441,a1) % 1.04/1.11 [232]P7(x2321,x2322,x2323)+~P40(x2323)+E(x2321,x2322)+P7(x2322,x2321,x2323) % 1.04/1.11 [236]P7(x2361,x2362,x2363)+~P25(x2363)+E(x2361,x2362)+P7(x2362,x2361,x2363) % 1.04/1.11 [251]~P24(x2513)+~P6(x2511,x2512,x2513)+E(x2511,x2512)+P7(x2511,x2512,x2513) % 1.04/1.11 [253]~P25(x2533)+~P6(x2531,x2532,x2533)+E(x2531,x2532)+P7(x2531,x2532,x2533) % 1.04/1.11 [275]~P6(x2752,x2751,x2753)+~P6(x2751,x2752,x2753)+E(x2751,x2752)+~P24(x2753) % 1.04/1.11 [287]P6(x2872,x2871,x2873)+~P26(x2873)+~P6(x2871,x2872,x2873)+P7(x2871,x2872,x2873) % 1.04/1.11 [217]~P32(x2172)+~P5(x2172)+~E(f6(x2173,x2171,x2172),x2173)+E(x2171,f3(x2172)) % 1.04/1.11 [219]~P37(x2192)+~E(f4(x2193,x2191,x2192),f3(x2192))+E(x2191,f3(x2192))+E(x2193,f3(x2192)) % 1.04/1.11 [220]~P47(x2202)+~E(f4(x2203,x2201,x2202),f3(x2202))+E(x2201,f3(x2202))+E(x2203,f3(x2202)) % 1.04/1.11 [346]~P40(x3462)+~P6(f10(x3461,x3463,x3462),f3(x3462),x3462)+P6(x3461,f3(x3462),x3462)+E(x3461,f3(x3462)) % 1.04/1.11 [363]~P1(x3631)+~P7(x3633,f3(x3631),x3631)+~P7(x3632,f3(x3631),x3631)+P7(f3(x3631),f7(x3632,x3633,x3631),x3631) % 1.04/1.11 [364]~P39(x3641)+~P7(x3643,f3(x3641),x3641)+~P7(x3642,f3(x3641),x3641)+P7(f3(x3641),f4(x3642,x3643,x3641),x3641) % 1.04/1.11 [365]~P1(x3651)+~P7(x3653,f3(x3651),x3651)+~P6(x3652,f3(x3651),x3651)+P6(f3(x3651),f7(x3652,x3653,x3651),x3651) % 1.04/1.11 [366]~P39(x3661)+~P6(x3663,f3(x3661),x3661)+~P6(x3662,f3(x3661),x3661)+P6(f3(x3661),f4(x3662,x3663,x3661),x3661) % 1.04/1.11 [368]~P46(x3681)+~P6(x3683,f3(x3681),x3681)+~P6(x3682,f3(x3681),x3681)+P6(f3(x3681),f4(x3682,x3683,x3681),x3681) % 1.04/1.11 [369]~P1(x3691)+~P7(f3(x3691),x3693,x3691)+~P7(f3(x3691),x3692,x3691)+P7(f3(x3691),f7(x3692,x3693,x3691),x3691) % 1.04/1.11 [370]~P42(x3701)+~P7(f3(x3701),x3703,x3701)+~P7(f3(x3701),x3702,x3701)+P7(f3(x3701),f4(x3702,x3703,x3701),x3701) % 1.04/1.11 [371]~P15(x3711)+~P7(f3(x3711),x3713,x3711)+~P7(f3(x3711),x3712,x3711)+P7(f3(x3711),f6(x3712,x3713,x3711),x3711) % 1.04/1.11 [372]~P15(x3721)+~P7(f3(x3721),x3723,x3721)+~P6(f3(x3721),x3722,x3721)+P7(f3(x3721),f6(x3722,x3723,x3721),x3721) % 1.04/1.11 [373]~P15(x3731)+~P7(f3(x3731),x3732,x3731)+~P6(f3(x3731),x3733,x3731)+P7(f3(x3731),f6(x3732,x3733,x3731),x3731) % 1.04/1.11 [374]~P1(x3741)+~P7(f3(x3741),x3743,x3741)+~P6(f3(x3741),x3742,x3741)+P6(f3(x3741),f7(x3742,x3743,x3741),x3741) % 1.04/1.11 [375]~P39(x3751)+~P6(f3(x3751),x3753,x3751)+~P6(f3(x3751),x3752,x3751)+P6(f3(x3751),f4(x3752,x3753,x3751),x3751) % 1.04/1.11 [376]~P44(x3761)+~P6(f3(x3761),x3763,x3761)+~P6(f3(x3761),x3762,x3761)+P6(f3(x3761),f4(x3762,x3763,x3761),x3761) % 1.04/1.11 [377]~P46(x3771)+~P6(f3(x3771),x3773,x3771)+~P6(f3(x3771),x3772,x3771)+P6(f3(x3771),f4(x3772,x3773,x3771),x3771) % 1.04/1.11 [378]~P15(x3781)+~P6(f3(x3781),x3783,x3781)+~P6(f3(x3781),x3782,x3781)+P6(f3(x3781),f6(x3782,x3783,x3781),x3781) % 1.04/1.11 [379]~P15(x3793)+~P7(x3792,f3(x3793),x3793)+~P7(x3791,f3(x3793),x3793)+P7(f6(x3791,x3792,x3793),f3(x3793),x3793) % 1.04/1.11 [380]~P15(x3803)+~P7(x3802,f3(x3803),x3803)+~P6(x3801,f3(x3803),x3803)+P7(f6(x3801,x3802,x3803),f3(x3803),x3803) % 1.04/1.11 [381]~P15(x3813)+~P7(x3811,f3(x3813),x3813)+~P6(x3812,f3(x3813),x3813)+P7(f6(x3811,x3812,x3813),f3(x3813),x3813) % 1.04/1.11 [382]~P15(x3823)+~P6(x3822,f3(x3823),x3823)+~P6(x3821,f3(x3823),x3823)+P6(f6(x3821,x3822,x3823),f3(x3823),x3823) % 1.04/1.11 [383]~P1(x3833)+~P7(x3832,f3(x3833),x3833)+~P7(f3(x3833),x3831,x3833)+P7(f7(x3831,x3832,x3833),f3(x3833),x3833) % 1.04/1.11 [384]~P1(x3843)+~P7(x3841,f3(x3843),x3843)+~P7(f3(x3843),x3842,x3843)+P7(f7(x3841,x3842,x3843),f3(x3843),x3843) % 1.04/1.11 [385]~P42(x3853)+~P7(x3852,f3(x3853),x3853)+~P7(f3(x3853),x3851,x3853)+P7(f4(x3851,x3852,x3853),f3(x3853),x3853) % 1.04/1.11 [387]~P42(x3873)+~P7(x3871,f3(x3873),x3873)+~P7(f3(x3873),x3872,x3873)+P7(f4(x3871,x3872,x3873),f3(x3873),x3873) % 1.04/1.11 [388]~P1(x3883)+~P7(x3882,f3(x3883),x3883)+~P6(f3(x3883),x3881,x3883)+P6(f7(x3881,x3882,x3883),f3(x3883),x3883) % 1.04/1.11 [389]~P1(x3893)+~P6(x3891,f3(x3893),x3893)+~P7(f3(x3893),x3892,x3893)+P6(f7(x3891,x3892,x3893),f3(x3893),x3893) % 1.04/1.11 [390]~P39(x3903)+~P6(x3902,f3(x3903),x3903)+~P6(f3(x3903),x3901,x3903)+P6(f4(x3901,x3902,x3903),f3(x3903),x3903) % 1.04/1.11 [391]~P39(x3913)+~P6(x3911,f3(x3913),x3913)+~P6(f3(x3913),x3912,x3913)+P6(f4(x3911,x3912,x3913),f3(x3913),x3913) % 1.04/1.11 [393]~P44(x3933)+~P6(x3932,f3(x3933),x3933)+~P6(f3(x3933),x3931,x3933)+P6(f4(x3931,x3932,x3933),f3(x3933),x3933) % 1.04/1.11 [396]~P44(x3963)+~P6(x3961,f3(x3963),x3963)+~P6(f3(x3963),x3962,x3963)+P6(f4(x3961,x3962,x3963),f3(x3963),x3963) % 1.04/1.11 [405]~P39(x4052)+~P6(f4(x4053,x4051,x4052),f3(x4052),x4052)+P6(x4051,f3(x4052),x4052)+P6(x4053,f3(x4052),x4052) % 1.04/1.11 [406]~P39(x4062)+~P6(f3(x4062),f4(x4063,x4061,x4062),x4062)+P6(x4061,f3(x4062),x4062)+P6(f3(x4062),x4063,x4062) % 1.04/1.11 [407]~P39(x4072)+~P6(f3(x4072),f4(x4071,x4073,x4072),x4072)+P6(x4071,f3(x4072),x4072)+P6(f3(x4072),x4073,x4072) % 1.04/1.11 [408]~P39(x4082)+~P6(f3(x4082),f4(x4083,x4081,x4082),x4082)+P6(x4081,f3(x4082),x4082)+P6(f3(x4082),x4081,x4082) % 1.04/1.11 [409]~P39(x4092)+~P6(f3(x4092),f4(x4091,x4093,x4092),x4092)+P6(x4091,f3(x4092),x4092)+P6(f3(x4092),x4091,x4092) % 1.04/1.11 [410]~P39(x4102)+~P6(f4(x4103,x4101,x4102),f3(x4102),x4102)+P6(x4101,f3(x4102),x4102)+P6(f3(x4102),x4101,x4102) % 1.04/1.11 [411]~P39(x4112)+~P6(f4(x4111,x4113,x4112),f3(x4112),x4112)+P6(x4111,f3(x4112),x4112)+P6(f3(x4112),x4111,x4112) % 1.04/1.11 [412]~P39(x4121)+~P6(f4(x4122,x4123,x4121),f3(x4121),x4121)+P6(f3(x4121),x4122,x4121)+P6(f3(x4121),x4123,x4121) % 1.04/1.11 [434]~P42(x4341)+~P7(f3(x4341),f4(x4343,x4342,x4341),x4341)+P7(f3(x4341),x4342,x4341)+~P7(f3(x4341),x4343,x4341) % 1.04/1.11 [435]~P42(x4351)+~P7(f3(x4351),f4(x4352,x4353,x4351),x4351)+P7(f3(x4351),x4352,x4351)+~P7(f3(x4351),x4353,x4351) % 1.04/1.11 [279]~P2(x2792)+~P33(x2792)+E(x2791,f3(x2792))+E(f4(f7(x2793,x2791,x2792),x2791,x2792),x2793) % 1.04/1.11 [295]~P24(x2953)+~P7(x2951,x2954,x2953)+P7(x2951,x2952,x2953)+~P7(x2954,x2952,x2953) % 1.04/1.11 [296]~P24(x2963)+~P6(x2961,x2964,x2963)+P7(x2961,x2962,x2963)+~P7(x2964,x2962,x2963) % 1.04/1.11 [297]~P24(x2973)+~P6(x2974,x2972,x2973)+P7(x2971,x2972,x2973)+~P7(x2971,x2974,x2973) % 1.04/1.11 [298]~P26(x2983)+~P7(x2981,x2984,x2983)+P7(x2981,x2982,x2983)+~P7(x2984,x2982,x2983) % 1.04/1.11 [299]~P26(x2993)+~P6(x2991,x2994,x2993)+P7(x2991,x2992,x2993)+~P7(x2994,x2992,x2993) % 1.04/1.11 [300]~P26(x3003)+~P6(x3004,x3002,x3003)+P7(x3001,x3002,x3003)+~P7(x3001,x3004,x3003) % 1.04/1.11 [301]~P24(x3013)+~P6(x3011,x3014,x3013)+P6(x3011,x3012,x3013)+~P6(x3014,x3012,x3013) % 1.04/1.11 [302]~P26(x3023)+~P6(x3021,x3024,x3023)+P6(x3021,x3022,x3023)+~P6(x3024,x3022,x3023) % 1.04/1.11 [281]~P32(x2814)+~P5(x2814)+E(x2811,x2812)+~E(f6(x2813,x2811,x2814),f6(x2813,x2812,x2814)) % 1.04/1.11 [350]~P41(x3504)+~P7(x3501,x3503,x3504)+~P7(f3(x3504),x3502,x3504)+P7(x3501,f6(x3502,x3503,x3504),x3504) % 1.04/1.11 [465]~P1(x4653)+~P7(x4654,x4651,x4653)+~P7(x4652,f3(x4653),x4653)+P7(f7(x4651,x4652,x4653),f7(x4654,x4652,x4653),x4653) % 1.04/1.11 [467]~P39(x4673)+~P7(x4674,x4671,x4673)+~P7(x4672,f3(x4673),x4673)+P7(f4(x4671,x4672,x4673),f4(x4674,x4672,x4673),x4673) % 1.04/1.11 [470]~P39(x4703)+~P7(x4704,x4702,x4703)+~P7(x4701,f3(x4703),x4703)+P7(f4(x4701,x4702,x4703),f4(x4701,x4704,x4703),x4703) % 1.04/1.11 [471]~P46(x4713)+~P6(x4714,x4711,x4713)+~P6(x4712,f3(x4713),x4713)+P6(f4(x4711,x4712,x4713),f4(x4714,x4712,x4713),x4713) % 1.04/1.11 [472]~P39(x4723)+~P6(x4724,x4722,x4723)+~P7(x4721,f3(x4723),x4723)+P6(f4(x4721,x4722,x4723),f4(x4721,x4724,x4723),x4723) % 1.04/1.11 [473]~P46(x4733)+~P6(x4734,x4732,x4733)+~P6(x4731,f3(x4733),x4733)+P6(f4(x4731,x4732,x4733),f4(x4731,x4734,x4733),x4733) % 1.04/1.11 [474]~P1(x4743)+~P7(x4741,x4744,x4743)+~P7(f3(x4743),x4742,x4743)+P7(f7(x4741,x4742,x4743),f7(x4744,x4742,x4743),x4743) % 1.04/1.11 [475]~P39(x4753)+~P7(x4751,x4754,x4753)+~P7(f3(x4753),x4752,x4753)+P7(f4(x4751,x4752,x4753),f4(x4754,x4752,x4753),x4753) % 1.04/1.11 [476]~P42(x4763)+~P7(x4761,x4764,x4763)+~P7(f3(x4763),x4762,x4763)+P7(f4(x4761,x4762,x4763),f4(x4764,x4762,x4763),x4763) % 1.04/1.11 [478]~P39(x4783)+~P7(x4782,x4784,x4783)+~P7(f3(x4783),x4781,x4783)+P7(f4(x4781,x4782,x4783),f4(x4781,x4784,x4783),x4783) % 1.04/1.11 [479]~P42(x4793)+~P7(x4792,x4794,x4793)+~P7(f3(x4793),x4791,x4793)+P7(f4(x4791,x4792,x4793),f4(x4791,x4794,x4793),x4793) % 1.04/1.11 [480]~P34(x4803)+~P7(x4802,x4804,x4803)+~P7(f3(x4803),x4801,x4803)+P7(f4(x4801,x4802,x4803),f4(x4801,x4804,x4803),x4803) % 1.04/1.11 [481]~P35(x4813)+~P6(x4811,x4814,x4813)+~P6(f3(x4813),x4812,x4813)+P6(f4(x4811,x4812,x4813),f4(x4814,x4812,x4813),x4813) % 1.04/1.11 [482]~P39(x4823)+~P6(x4822,x4824,x4823)+~P7(f3(x4823),x4821,x4823)+P6(f4(x4821,x4822,x4823),f4(x4821,x4824,x4823),x4823) % 1.04/1.11 [483]~P35(x4833)+~P6(x4832,x4834,x4833)+~P6(f3(x4833),x4831,x4833)+P6(f4(x4831,x4832,x4833),f4(x4831,x4834,x4833),x4833) % 1.04/1.11 [484]~P36(x4843)+~P6(x4842,x4844,x4843)+~P6(f3(x4843),x4841,x4843)+P6(f4(x4841,x4842,x4843),f4(x4841,x4844,x4843),x4843) % 1.04/1.11 [485]~P41(x4853)+~P6(x4851,x4854,x4853)+~P6(f3(x4853),x4851,x4853)+P6(f10(x4851,x4852,x4853),f10(x4854,x4852,x4853),x4853) % 1.04/1.11 [495]~P1(x4954)+~P7(f3(x4954),x4953,x4954)+~P7(f4(x4951,x4953,x4954),x4952,x4954)+P7(x4951,f7(x4952,x4953,x4954),x4954) % 1.04/1.11 [496]~P1(x4964)+~P7(f3(x4964),x4963,x4964)+~P6(f4(x4961,x4963,x4964),x4962,x4964)+P6(x4961,f7(x4962,x4963,x4964),x4964) % 1.04/1.11 [497]~P1(x4973)+~P7(f3(x4973),x4972,x4973)+~P7(x4971,f4(x4974,x4972,x4973),x4973)+P7(f7(x4971,x4972,x4973),x4974,x4973) % 1.04/1.11 [498]~P1(x4983)+~P7(f3(x4983),x4982,x4983)+~P6(x4981,f4(x4984,x4982,x4983),x4983)+P6(f7(x4981,x4982,x4983),x4984,x4983) % 1.04/1.11 [508]P7(x5082,x5081,x5083)+~P39(x5083)+P7(x5081,x5082,x5083)+~P7(f4(x5084,x5081,x5083),f4(x5084,x5082,x5083),x5083) % 1.04/1.11 [509]P7(x5092,x5091,x5093)+~P39(x5093)+P7(x5091,x5092,x5093)+~P7(f4(x5091,x5094,x5093),f4(x5092,x5094,x5093),x5093) % 1.04/1.11 [512]~P39(x5123)+P7(x5121,x5122,x5123)+~P7(f4(x5121,x5124,x5123),f4(x5122,x5124,x5123),x5123)+P7(x5124,f3(x5123),x5123) % 1.04/1.11 [513]~P39(x5133)+P7(x5131,x5132,x5133)+~P7(f4(x5134,x5131,x5133),f4(x5134,x5132,x5133),x5133)+P7(x5134,f3(x5133),x5133) % 1.04/1.11 [514]~P39(x5143)+P7(x5141,x5142,x5143)+~P7(f4(x5144,x5142,x5143),f4(x5144,x5141,x5143),x5143)+P7(f3(x5143),x5144,x5143) % 1.04/1.11 [515]~P39(x5153)+P7(x5151,x5152,x5153)+~P7(f4(x5152,x5154,x5153),f4(x5151,x5154,x5153),x5153)+P7(f3(x5153),x5154,x5153) % 1.04/1.11 [519]~P39(x5192)+~P7(f4(x5193,x5191,x5192),f4(x5194,x5191,x5192),x5192)+P7(x5191,f3(x5192),x5192)+P7(f3(x5192),x5191,x5192) % 1.04/1.11 [520]~P39(x5202)+~P7(f4(x5201,x5203,x5202),f4(x5201,x5204,x5202),x5202)+P7(x5201,f3(x5202),x5202)+P7(f3(x5202),x5201,x5202) % 1.04/1.11 [526]~P39(x5263)+P7(x5261,x5262,x5263)+~P7(f4(x5264,x5262,x5263),f4(x5264,x5261,x5263),x5263)+~P7(x5264,f3(x5263),x5263) % 1.04/1.11 [527]~P39(x5273)+P6(x5271,x5272,x5273)+~P6(f4(x5274,x5272,x5273),f4(x5274,x5271,x5273),x5273)+~P7(x5274,f3(x5273),x5273) % 1.04/1.11 [528]~P39(x5283)+P7(x5281,x5282,x5283)+~P7(f4(x5284,x5281,x5283),f4(x5284,x5282,x5283),x5283)+~P7(f3(x5283),x5284,x5283) % 1.04/1.11 [529]~P41(x5293)+P7(x5291,x5292,x5293)+~P6(f3(x5293),x5292,x5293)+~P7(f10(x5291,x5294,x5293),f10(x5292,x5294,x5293),x5293) % 1.04/1.11 [530]~P42(x5303)+P7(x5301,x5302,x5303)+~P7(f4(x5304,x5301,x5303),f4(x5304,x5302,x5303),x5303)+~P6(f3(x5303),x5304,x5303) % 1.04/1.11 [531]~P42(x5313)+P7(x5311,x5312,x5313)+~P7(f4(x5311,x5314,x5313),f4(x5312,x5314,x5313),x5313)+~P6(f3(x5313),x5314,x5313) % 1.04/1.11 [532]~P43(x5323)+P7(x5321,x5322,x5323)+~P7(f4(x5324,x5321,x5323),f4(x5324,x5322,x5323),x5323)+~P6(f3(x5323),x5324,x5323) % 1.04/1.11 [533]~P43(x5333)+P7(x5331,x5332,x5333)+~P7(f4(x5331,x5334,x5333),f4(x5332,x5334,x5333),x5333)+~P6(f3(x5333),x5334,x5333) % 1.04/1.11 [534]~P39(x5343)+P6(x5341,x5342,x5343)+~P6(f4(x5344,x5341,x5343),f4(x5344,x5342,x5343),x5343)+~P7(f3(x5343),x5344,x5343) % 1.04/1.11 [535]~P42(x5353)+P6(x5351,x5352,x5353)+~P6(f4(x5354,x5351,x5353),f4(x5354,x5352,x5353),x5353)+~P7(f3(x5353),x5354,x5353) % 1.04/1.11 [536]~P42(x5363)+P6(x5361,x5362,x5363)+~P6(f4(x5361,x5364,x5363),f4(x5362,x5364,x5363),x5363)+~P7(f3(x5363),x5364,x5363) % 1.04/1.11 [348]~P2(x3482)+~P33(x3482)+E(x3481,f3(x3482))+E(f7(f4(x3483,x3481,x3482),f4(x3484,x3481,x3482),x3482),f7(x3483,x3484,x3482)) % 1.04/1.11 [349]~P2(x3492)+~P33(x3492)+E(x3491,f3(x3492))+E(f7(f4(x3491,x3493,x3492),f4(x3491,x3494,x3492),x3492),f7(x3493,x3494,x3492)) % 1.04/1.11 [488]~P28(x4882)+E(x4881,f3(x4882))+~P6(x4883,f3(a1),a1)+~P6(f12(x4881,x4882),f4(x4883,f12(x4884,x4882),a1),a1) % 1.04/1.11 [524]~P2(x5242)+~P33(x5242)+E(x5241,f3(x5242))+E(f7(f6(x5243,f4(x5244,x5241,x5242),x5242),x5241,x5242),f6(x5244,f7(x5243,x5241,x5242),x5242)) % 1.04/1.11 [525]~P2(x5252)+~P33(x5252)+E(x5251,f3(x5252))+E(f7(f6(x5253,f4(x5254,x5251,x5252),x5252),x5251,x5252),f6(f7(x5253,x5251,x5252),x5254,x5252)) % 1.04/1.11 [457]~P21(x4573)+~P7(x4572,x4575,x4573)+~P7(x4571,x4574,x4573)+P7(f6(x4571,x4572,x4573),f6(x4574,x4575,x4573),x4573) % 1.04/1.11 [458]~P21(x4583)+~P7(x4582,x4585,x4583)+~P6(x4581,x4584,x4583)+P7(f6(x4581,x4582,x4583),f6(x4584,x4585,x4583),x4583) % 1.04/1.11 [459]~P21(x4593)+~P7(x4591,x4594,x4593)+~P6(x4592,x4595,x4593)+P7(f6(x4591,x4592,x4593),f6(x4594,x4595,x4593),x4593) % 1.04/1.11 [460]~P16(x4603)+~P6(x4602,x4605,x4603)+~P6(x4601,x4604,x4603)+P6(f6(x4601,x4602,x4603),f6(x4604,x4605,x4603),x4603) % 1.04/1.11 [494]~P17(x4944)+~P6(x4945,x4943,x4944)+~P6(x4941,f6(x4942,x4945,x4944),x4944)+P6(x4941,f6(x4942,x4943,x4944),x4944) % 1.04/1.11 [567]~P22(x5673)+~P7(f12(x5672,x5673),x5675,a1)+~P7(f12(x5671,x5673),x5674,a1)+P7(f12(f4(x5671,x5672,x5673),x5673),f4(x5674,x5675,a1),a1) % 1.04/1.11 [587]~P33(x5872)+E(x5871,f3(x5872))+E(x5873,f3(x5872))+E(f7(f6(f4(x5874,x5871,x5872),f4(x5875,x5873,x5872),x5872),f4(x5873,x5871,x5872),x5872),f6(f7(x5874,x5873,x5872),f7(x5875,x5871,x5872),x5872)) % 1.04/1.11 [314]~P15(x3142)+~P6(f3(x3142),x3141,x3142)+~P6(f3(x3142),x3143,x3142)+~E(f6(x3143,x3141,x3142),f3(x3142))+E(x3141,f3(x3142)) % 1.04/1.11 [315]~P15(x3152)+~P6(f3(x3152),x3153,x3152)+~P6(f3(x3152),x3151,x3152)+~E(f6(x3151,x3153,x3152),f3(x3152))+E(x3151,f3(x3152)) % 1.04/1.11 [398]~P1(x3981)+~P2(x3981)+~P6(x3983,f3(x3981),x3981)+~P6(x3982,f3(x3981),x3981)+P6(f3(x3981),f7(x3982,x3983,x3981),x3981) % 1.04/1.11 [400]~P1(x4001)+~P2(x4001)+~P6(f3(x4001),x4003,x4001)+~P6(f3(x4001),x4002,x4001)+P6(f3(x4001),f7(x4002,x4003,x4001),x4001) % 1.04/1.11 [403]~P1(x4033)+~P2(x4033)+~P6(x4032,f3(x4033),x4033)+~P6(f3(x4033),x4031,x4033)+P6(f7(x4031,x4032,x4033),f3(x4033),x4033) % 1.04/1.11 [404]~P1(x4043)+~P2(x4043)+~P6(x4041,f3(x4043),x4043)+~P6(f3(x4043),x4042,x4043)+P6(f7(x4041,x4042,x4043),f3(x4043),x4043) % 1.04/1.11 [417]~P1(x4172)+~P2(x4172)+~P7(f7(x4173,x4171,x4172),f3(x4172),x4172)+P7(x4171,f3(x4172),x4172)+P7(x4173,f3(x4172),x4172) % 1.04/1.12 [418]~P1(x4182)+~P2(x4182)+~P6(f7(x4183,x4181,x4182),f3(x4182),x4182)+P6(x4181,f3(x4182),x4182)+P6(x4183,f3(x4182),x4182) % 1.04/1.12 [419]~P1(x4192)+~P2(x4192)+~P7(f3(x4192),f7(x4193,x4191,x4192),x4192)+P7(x4191,f3(x4192),x4192)+P7(f3(x4192),x4193,x4192) % 1.04/1.12 [420]~P1(x4202)+~P2(x4202)+~P7(f3(x4202),f7(x4201,x4203,x4202),x4202)+P7(x4201,f3(x4202),x4202)+P7(f3(x4202),x4203,x4202) % 1.04/1.12 [421]~P1(x4212)+~P2(x4212)+~P7(f3(x4212),f7(x4213,x4211,x4212),x4212)+P7(x4211,f3(x4212),x4212)+P7(f3(x4212),x4211,x4212) % 1.04/1.12 [422]~P1(x4222)+~P2(x4222)+~P7(f3(x4222),f7(x4221,x4223,x4222),x4222)+P7(x4221,f3(x4222),x4222)+P7(f3(x4222),x4221,x4222) % 1.04/1.12 [423]~P1(x4232)+~P2(x4232)+~P6(f3(x4232),f7(x4233,x4231,x4232),x4232)+P6(x4231,f3(x4232),x4232)+P6(f3(x4232),x4233,x4232) % 1.04/1.12 [424]~P1(x4242)+~P2(x4242)+~P6(f3(x4242),f7(x4241,x4243,x4242),x4242)+P6(x4241,f3(x4242),x4242)+P6(f3(x4242),x4243,x4242) % 1.04/1.12 [425]~P1(x4252)+~P2(x4252)+~P6(f3(x4252),f7(x4253,x4251,x4252),x4252)+P6(x4251,f3(x4252),x4252)+P6(f3(x4252),x4251,x4252) % 1.04/1.12 [426]~P1(x4262)+~P2(x4262)+~P6(f3(x4262),f7(x4261,x4263,x4262),x4262)+P6(x4261,f3(x4262),x4262)+P6(f3(x4262),x4261,x4262) % 1.04/1.12 [427]~P1(x4272)+~P2(x4272)+~P7(f7(x4273,x4271,x4272),f3(x4272),x4272)+P7(x4271,f3(x4272),x4272)+P7(f3(x4272),x4271,x4272) % 1.04/1.12 [428]~P1(x4282)+~P2(x4282)+~P7(f7(x4281,x4283,x4282),f3(x4282),x4282)+P7(x4281,f3(x4282),x4282)+P7(f3(x4282),x4281,x4282) % 1.04/1.12 [429]~P1(x4292)+~P2(x4292)+~P6(f7(x4293,x4291,x4292),f3(x4292),x4292)+P6(x4291,f3(x4292),x4292)+P6(f3(x4292),x4291,x4292) % 1.04/1.12 [430]~P1(x4302)+~P2(x4302)+~P6(f7(x4301,x4303,x4302),f3(x4302),x4302)+P6(x4301,f3(x4302),x4302)+P6(f3(x4302),x4301,x4302) % 1.04/1.12 [431]~P1(x4311)+~P2(x4311)+~P7(f7(x4312,x4313,x4311),f3(x4311),x4311)+P7(f3(x4311),x4312,x4311)+P7(f3(x4311),x4313,x4311) % 1.04/1.12 [432]~P1(x4321)+~P2(x4321)+~P6(f7(x4322,x4323,x4321),f3(x4321),x4321)+P6(f3(x4321),x4322,x4321)+P6(f3(x4321),x4323,x4321) % 1.04/1.12 [351]~P20(x3514)+~P4(x3514)+~P7(x3511,x3513,x3514)+~P6(f3(x3514),x3512,x3514)+P7(x3511,f6(x3512,x3513,x3514),x3514) % 1.04/1.12 [352]~P20(x3524)+~P4(x3524)+~P6(x3521,x3523,x3524)+~P7(f3(x3524),x3522,x3524)+P7(x3521,f6(x3522,x3523,x3524),x3524) % 1.04/1.12 [353]~P20(x3534)+~P4(x3534)+~P6(x3531,x3533,x3534)+~P6(f3(x3534),x3532,x3534)+P6(x3531,f6(x3532,x3533,x3534),x3534) % 1.04/1.12 [354]~P20(x3544)+~P4(x3544)+~P6(x3541,x3542,x3544)+~P6(f3(x3544),x3543,x3544)+P6(x3541,f6(x3542,x3543,x3544),x3544) % 1.04/1.12 [486]~P1(x4863)+~P2(x4863)+~P6(x4864,x4861,x4863)+~P6(x4862,f3(x4863),x4863)+P6(f7(x4861,x4862,x4863),f7(x4864,x4862,x4863),x4863) % 1.04/1.12 [487]~P1(x4873)+~P2(x4873)+~P6(x4871,x4874,x4873)+~P6(f3(x4873),x4872,x4873)+P6(f7(x4871,x4872,x4873),f7(x4874,x4872,x4873),x4873) % 1.04/1.12 [500]~P1(x5004)+~P2(x5004)+~P7(f3(x5004),x5003,x5004)+~P7(f7(x5001,x5003,x5004),x5002,x5004)+P7(x5001,f4(x5002,x5003,x5004),x5004) % 1.04/1.12 [502]~P1(x5024)+~P2(x5024)+~P7(f3(x5024),x5023,x5024)+~P6(f7(x5021,x5023,x5024),x5022,x5024)+P6(x5021,f4(x5022,x5023,x5024),x5024) % 1.04/1.12 [504]~P1(x5043)+~P2(x5043)+~P7(f3(x5043),x5042,x5043)+~P7(x5041,f7(x5044,x5042,x5043),x5043)+P7(f4(x5041,x5042,x5043),x5044,x5043) % 1.04/1.12 [506]~P1(x5063)+~P2(x5063)+~P7(f3(x5063),x5062,x5063)+~P6(x5061,f7(x5064,x5062,x5063),x5063)+P6(f4(x5061,x5062,x5063),x5064,x5063) % 1.04/1.12 [569]~P1(x5693)+~P7(x5692,x5694,x5693)+~P7(x5691,f3(x5693),x5693)+~P7(f3(x5693),f4(x5692,x5694,x5693),x5693)+P7(f7(x5691,x5692,x5693),f7(x5691,x5694,x5693),x5693) % 1.04/1.12 [570]~P1(x5703)+~P7(x5704,x5702,x5703)+~P7(f3(x5703),x5701,x5703)+~P7(f3(x5703),f4(x5702,x5704,x5703),x5703)+P7(f7(x5701,x5702,x5703),f7(x5701,x5704,x5703),x5703) % 1.04/1.12 [571]~P1(x5713)+~P6(x5714,x5712,x5713)+~P6(f3(x5713),x5711,x5713)+~P7(f3(x5713),f4(x5712,x5714,x5713),x5713)+P6(f7(x5711,x5712,x5713),f7(x5711,x5714,x5713),x5713) % 1.04/1.12 [316]~P33(x3162)+~E(f4(x3164,x3163,x3162),f4(x3165,x3161,x3162))+E(f7(x3164,x3161,x3162),f7(x3165,x3163,x3162))+E(x3161,f3(x3162))+E(x3163,f3(x3162)) % 1.04/1.12 [317]~P33(x3172)+~E(f7(x3174,x3173,x3172),f7(x3175,x3171,x3172))+E(f4(x3174,x3171,x3172),f4(x3175,x3173,x3172))+E(x3171,f3(x3172))+E(x3173,f3(x3172)) % 1.04/1.12 [507]~P32(x5074)+~P5(x5074)+E(x5071,x5072)+E(x5073,f3(x5074))+~E(f6(x5075,f4(x5073,x5071,x5074),x5074),f6(x5075,f4(x5073,x5072,x5074),x5074)) % 1.04/1.12 [582]~P32(x5825)+~P5(x5825)+E(x5821,x5822)+E(x5823,x5824)+~E(f6(f4(x5823,x5821,x5825),f4(x5824,x5822,x5825),x5825),f6(f4(x5823,x5822,x5825),f4(x5824,x5821,x5825),x5825)) % 1.04/1.12 [237]~P37(x2372)+~P49(x2372)+~P38(x2372)+~P23(x2372)+~E(f10(x2371,x2373,x2372),f3(x2372))+E(x2371,f3(x2372)) % 1.04/1.12 [413]~P1(x4132)+~P2(x4132)+P7(x4131,f3(x4132),x4132)+P7(f3(x4132),x4131,x4132)+~P7(x4133,f3(x4132),x4132)+P7(x4133,f7(x4134,x4131,x4132),x4132) % 1.04/1.12 [414]~P1(x4142)+~P2(x4142)+P7(x4141,f3(x4142),x4142)+P7(f3(x4142),x4141,x4142)+~P6(x4143,f3(x4142),x4142)+P6(x4143,f7(x4144,x4141,x4142),x4142) % 1.04/1.12 [415]~P1(x4152)+~P2(x4152)+P7(x4151,f3(x4152),x4152)+P7(f3(x4152),x4151,x4152)+~P7(f3(x4152),x4154,x4152)+P7(f7(x4153,x4151,x4152),x4154,x4152) % 1.04/1.12 [416]~P1(x4162)+~P2(x4162)+P7(x4161,f3(x4162),x4162)+P7(f3(x4162),x4161,x4162)+~P6(f3(x4162),x4164,x4162)+P6(f7(x4163,x4161,x4162),x4164,x4162) % 1.04/1.12 [461]~P1(x4612)+~P2(x4612)+P7(x4611,f3(x4612),x4612)+P7(f3(x4612),x4611,x4612)+~P7(x4613,f7(x4614,x4611,x4612),x4612)+P7(x4613,f3(x4612),x4612) % 1.04/1.12 [462]~P1(x4622)+~P2(x4622)+P7(x4621,f3(x4622),x4622)+P7(f3(x4622),x4621,x4622)+~P6(x4623,f7(x4624,x4621,x4622),x4622)+P6(x4623,f3(x4622),x4622) % 1.04/1.12 [463]~P1(x4632)+~P2(x4632)+P7(x4631,f3(x4632),x4632)+P7(f3(x4632),x4631,x4632)+~P7(f7(x4634,x4631,x4632),x4633,x4632)+P7(f3(x4632),x4633,x4632) % 1.04/1.12 [464]~P1(x4642)+~P2(x4642)+P7(x4641,f3(x4642),x4642)+P7(f3(x4642),x4641,x4642)+~P6(f7(x4644,x4641,x4642),x4643,x4642)+P6(f3(x4642),x4643,x4642) % 1.04/1.12 [537]~P1(x5372)+~P2(x5372)+~P7(f4(x5373,x5371,x5372),x5374,x5372)+P7(x5371,f3(x5372),x5372)+~P7(x5373,f3(x5372),x5372)+P7(x5373,f7(x5374,x5371,x5372),x5372) % 1.04/1.12 [538]~P1(x5382)+~P2(x5382)+~P6(f4(x5383,x5381,x5382),x5384,x5382)+P7(x5381,f3(x5382),x5382)+~P6(x5383,f3(x5382),x5382)+P6(x5383,f7(x5384,x5381,x5382),x5382) % 1.04/1.12 [539]~P1(x5392)+~P2(x5392)+~P7(x5393,f4(x5394,x5391,x5392),x5392)+P7(x5391,f3(x5392),x5392)+~P7(f3(x5392),x5394,x5392)+P7(f7(x5393,x5391,x5392),x5394,x5392) % 1.04/1.12 [540]~P1(x5402)+~P2(x5402)+~P6(x5403,f4(x5404,x5401,x5402),x5402)+P7(x5401,f3(x5402),x5402)+~P6(f3(x5402),x5404,x5402)+P6(f7(x5403,x5401,x5402),x5404,x5402) % 1.04/1.12 [541]~P1(x5411)+~P2(x5411)+~P7(x5414,f4(x5413,x5412,x5411),x5411)+~P7(x5412,f3(x5411),x5411)+P7(f3(x5411),x5412,x5411)+P7(x5413,f7(x5414,x5412,x5411),x5411) % 1.04/1.12 [542]~P1(x5421)+~P2(x5421)+~P7(x5424,f4(x5423,x5422,x5421),x5421)+~P7(x5423,f3(x5421),x5421)+P7(f3(x5421),x5422,x5421)+P7(x5423,f7(x5424,x5422,x5421),x5421) % 1.04/1.12 [543]~P1(x5431)+~P2(x5431)+~P7(x5434,f7(x5433,x5432,x5431),x5431)+~P7(x5432,f3(x5431),x5431)+P7(f3(x5431),x5432,x5431)+P7(x5433,f4(x5434,x5432,x5431),x5431) % 1.04/1.12 [544]~P1(x5441)+~P2(x5441)+~P6(x5444,f4(x5443,x5442,x5441),x5441)+~P7(x5442,f3(x5441),x5441)+P7(f3(x5441),x5442,x5441)+P6(x5443,f7(x5444,x5442,x5441),x5441) % 1.04/1.12 [545]~P1(x5451)+~P2(x5451)+~P6(x5454,f4(x5453,x5452,x5451),x5451)+~P6(x5453,f3(x5451),x5451)+P7(f3(x5451),x5452,x5451)+P6(x5453,f7(x5454,x5452,x5451),x5451) % 1.04/1.12 [546]~P1(x5461)+~P2(x5461)+~P6(x5464,f7(x5463,x5462,x5461),x5461)+~P7(x5462,f3(x5461),x5461)+P7(f3(x5461),x5462,x5461)+P6(x5463,f4(x5464,x5462,x5461),x5461) % 1.04/1.12 [547]~P1(x5471)+~P2(x5471)+~P7(f4(x5474,x5472,x5471),x5473,x5471)+~P7(x5472,f3(x5471),x5471)+P7(f3(x5471),x5472,x5471)+P7(f7(x5473,x5472,x5471),x5474,x5471) % 1.04/1.12 [548]~P1(x5481)+~P2(x5481)+~P7(f7(x5484,x5482,x5481),x5483,x5481)+~P7(x5482,f3(x5481),x5481)+P7(f3(x5481),x5482,x5481)+P7(f4(x5483,x5482,x5481),x5484,x5481) % 1.04/1.12 [549]~P1(x5491)+~P2(x5491)+~P6(f4(x5494,x5492,x5491),x5493,x5491)+~P7(x5492,f3(x5491),x5491)+P7(f3(x5491),x5492,x5491)+P6(f7(x5493,x5492,x5491),x5494,x5491) % 1.04/1.12 [550]~P1(x5501)+~P2(x5501)+~P6(f7(x5504,x5502,x5501),x5503,x5501)+~P7(x5502,f3(x5501),x5501)+P7(f3(x5501),x5502,x5501)+P6(f4(x5503,x5502,x5501),x5504,x5501) % 1.04/1.12 [551]~P1(x5511)+~P2(x5511)+~P7(f4(x5514,x5512,x5511),x5513,x5511)+~P7(f3(x5511),x5514,x5511)+P7(f3(x5511),x5512,x5511)+P7(f7(x5513,x5512,x5511),x5514,x5511) % 1.04/1.12 [552]~P1(x5521)+~P2(x5521)+~P6(f4(x5524,x5522,x5521),x5523,x5521)+~P6(f3(x5521),x5524,x5521)+P7(f3(x5521),x5522,x5521)+P6(f7(x5523,x5522,x5521),x5524,x5521) % 1.04/1.12 [572]~P1(x5723)+~P2(x5723)+~P6(x5722,x5724,x5723)+~P6(x5721,f3(x5723),x5723)+~P7(f3(x5723),f4(x5722,x5724,x5723),x5723)+P6(f7(x5721,x5722,x5723),f7(x5721,x5724,x5723),x5723) % 1.04/1.12 [573]~P1(x5734)+~P2(x5734)+~P7(x5733,f3(x5734),x5734)+~P7(x5732,f4(x5731,x5733,x5734),x5734)+~P7(f4(x5731,x5733,x5734),x5732,x5734)+P7(x5731,f7(x5732,x5733,x5734),x5734) % 1.04/1.12 [574]~P1(x5744)+~P2(x5744)+~P7(x5741,f3(x5744),x5744)+~P7(x5742,f4(x5741,x5743,x5744),x5744)+~P7(f4(x5741,x5743,x5744),x5742,x5744)+P7(x5741,f7(x5742,x5743,x5744),x5744) % 1.04/1.12 [575]~P1(x5754)+~P2(x5754)+~P7(x5753,f3(x5754),x5754)+~P6(x5752,f4(x5751,x5753,x5754),x5754)+~P6(f4(x5751,x5753,x5754),x5752,x5754)+P6(x5751,f7(x5752,x5753,x5754),x5754) % 1.04/1.12 [576]~P1(x5764)+~P2(x5764)+~P6(x5761,f3(x5764),x5764)+~P6(x5762,f4(x5761,x5763,x5764),x5764)+~P6(f4(x5761,x5763,x5764),x5762,x5764)+P6(x5761,f7(x5762,x5763,x5764),x5764) % 1.04/1.12 [577]~P1(x5773)+~P2(x5773)+~P7(x5772,f3(x5773),x5773)+~P7(x5771,f4(x5774,x5772,x5773),x5773)+~P7(f4(x5774,x5772,x5773),x5771,x5773)+P7(f7(x5771,x5772,x5773),x5774,x5773) % 1.04/1.12 [578]~P1(x5783)+~P2(x5783)+~P7(x5782,f3(x5783),x5783)+~P6(x5781,f4(x5784,x5782,x5783),x5783)+~P6(f4(x5784,x5782,x5783),x5781,x5783)+P6(f7(x5781,x5782,x5783),x5784,x5783) % 1.04/1.12 [579]~P1(x5793)+~P2(x5793)+~P7(f3(x5793),x5794,x5793)+~P7(x5791,f4(x5794,x5792,x5793),x5793)+~P7(f4(x5794,x5792,x5793),x5791,x5793)+P7(f7(x5791,x5792,x5793),x5794,x5793) % 1.04/1.12 [580]~P1(x5803)+~P2(x5803)+~P6(f3(x5803),x5804,x5803)+~P6(x5801,f4(x5804,x5802,x5803),x5803)+~P6(f4(x5804,x5802,x5803),x5801,x5803)+P6(f7(x5801,x5802,x5803),x5804,x5803) % 1.04/1.12 [556]~P1(x5563)+~P7(x5565,x5562,x5563)+~P6(x5561,x5564,x5563)+~P7(f3(x5563),x5565,x5563)+~P7(f3(x5563),x5561,x5563)+P7(f7(x5561,x5562,x5563),f7(x5564,x5565,x5563),x5563) % 1.04/1.12 [557]~P1(x5573)+~P7(x5571,x5574,x5573)+~P6(x5575,x5572,x5573)+~P7(f3(x5573),x5575,x5573)+~P6(f3(x5573),x5571,x5573)+P7(f7(x5571,x5572,x5573),f7(x5574,x5575,x5573),x5573) % 1.04/1.12 [558]~P42(x5583)+~P7(x5582,x5585,x5583)+~P7(x5581,x5584,x5583)+~P7(f3(x5583),x5584,x5583)+~P6(f3(x5583),x5582,x5583)+P7(f4(x5581,x5582,x5583),f4(x5584,x5585,x5583),x5583) % 1.04/1.12 [559]~P42(x5593)+~P7(x5592,x5595,x5593)+~P7(x5591,x5594,x5593)+~P6(f3(x5593),x5592,x5593)+~P6(f3(x5593),x5591,x5593)+P7(f4(x5591,x5592,x5593),f4(x5594,x5595,x5593),x5593) % 1.04/1.12 [560]~P42(x5603)+~P7(x5602,x5605,x5603)+~P6(x5601,x5604,x5603)+~P7(f3(x5603),x5601,x5603)+~P6(f3(x5603),x5602,x5603)+P7(f4(x5601,x5602,x5603),f4(x5604,x5605,x5603),x5603) % 1.04/1.12 [561]~P42(x5613)+~P7(x5611,x5614,x5613)+~P6(x5612,x5615,x5613)+~P7(f3(x5613),x5612,x5613)+~P6(f3(x5613),x5611,x5613)+P7(f4(x5611,x5612,x5613),f4(x5614,x5615,x5613),x5613) % 1.04/1.12 [562]~P1(x5623)+~P6(x5625,x5622,x5623)+~P6(x5621,x5624,x5623)+~P7(f3(x5623),x5625,x5623)+~P6(f3(x5623),x5621,x5623)+P6(f7(x5621,x5622,x5623),f7(x5624,x5625,x5623),x5623) % 1.04/1.12 [563]~P45(x5633)+~P6(x5632,x5635,x5633)+~P6(x5631,x5634,x5633)+~P6(f3(x5633),x5634,x5633)+~P6(f3(x5633),x5632,x5633)+P6(f4(x5631,x5632,x5633),f4(x5634,x5635,x5633),x5633) % 1.04/1.12 [564]~P45(x5643)+~P6(x5642,x5645,x5643)+~P6(x5641,x5644,x5643)+~P6(f3(x5643),x5642,x5643)+~P6(f3(x5643),x5641,x5643)+P6(f4(x5641,x5642,x5643),f4(x5644,x5645,x5643),x5643) % 1.04/1.12 %EqnAxiom % 1.04/1.12 [1]E(x11,x11) % 1.04/1.12 [2]E(x22,x21)+~E(x21,x22) % 1.04/1.12 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 1.04/1.12 [4]~E(x41,x42)+E(f3(x41),f3(x42)) % 1.04/1.12 [5]~E(x51,x52)+E(f6(x51,x53,x54),f6(x52,x53,x54)) % 1.04/1.12 [6]~E(x61,x62)+E(f6(x63,x61,x64),f6(x63,x62,x64)) % 1.04/1.12 [7]~E(x71,x72)+E(f6(x73,x74,x71),f6(x73,x74,x72)) % 1.04/1.12 [8]~E(x81,x82)+E(f8(x81),f8(x82)) % 1.04/1.12 [9]~E(x91,x92)+E(f4(x91,x93,x94),f4(x92,x93,x94)) % 1.04/1.12 [10]~E(x101,x102)+E(f4(x103,x101,x104),f4(x103,x102,x104)) % 1.04/1.12 [11]~E(x111,x112)+E(f4(x113,x114,x111),f4(x113,x114,x112)) % 1.04/1.12 [12]~E(x121,x122)+E(f10(x121,x123,x124),f10(x122,x123,x124)) % 1.04/1.12 [13]~E(x131,x132)+E(f10(x133,x131,x134),f10(x133,x132,x134)) % 1.04/1.12 [14]~E(x141,x142)+E(f10(x143,x144,x141),f10(x143,x144,x142)) % 1.04/1.12 [15]~E(x151,x152)+E(f12(x151,x153),f12(x152,x153)) % 1.04/1.12 [16]~E(x161,x162)+E(f12(x163,x161),f12(x163,x162)) % 1.04/1.12 [17]~E(x171,x172)+E(f7(x171,x173,x174),f7(x172,x173,x174)) % 1.04/1.12 [18]~E(x181,x182)+E(f7(x183,x181,x184),f7(x183,x182,x184)) % 1.04/1.12 [19]~E(x191,x192)+E(f7(x193,x194,x191),f7(x193,x194,x192)) % 1.04/1.12 [20]~E(x201,x202)+E(f17(x201,x203),f17(x202,x203)) % 1.04/1.12 [21]~E(x211,x212)+E(f17(x213,x211),f17(x213,x212)) % 1.04/1.12 [22]~E(x221,x222)+E(f13(x221),f13(x222)) % 1.04/1.12 [23]~E(x231,x232)+E(f5(x231,x233),f5(x232,x233)) % 1.04/1.12 [24]~E(x241,x242)+E(f5(x243,x241),f5(x243,x242)) % 1.04/1.12 [25]~E(x251,x252)+E(f9(x251,x253,x254),f9(x252,x253,x254)) % 1.04/1.12 [26]~E(x261,x262)+E(f9(x263,x261,x264),f9(x263,x262,x264)) % 1.04/1.12 [27]~E(x271,x272)+E(f9(x273,x274,x271),f9(x273,x274,x272)) % 1.04/1.12 [28]~E(x281,x282)+E(f11(x281,x283),f11(x282,x283)) % 1.04/1.12 [29]~E(x291,x292)+E(f11(x293,x291),f11(x293,x292)) % 1.04/1.12 [30]~P1(x301)+P1(x302)+~E(x301,x302) % 1.04/1.12 [31]~P2(x311)+P2(x312)+~E(x311,x312) % 1.04/1.12 [32]~P22(x321)+P22(x322)+~E(x321,x322) % 1.04/1.12 [33]~P39(x331)+P39(x332)+~E(x331,x332) % 1.04/1.12 [34]~P3(x341)+P3(x342)+~E(x341,x342) % 1.04/1.12 [35]~P41(x351)+P41(x352)+~E(x351,x352) % 1.04/1.12 [36]~P42(x361)+P42(x362)+~E(x361,x362) % 1.04/1.12 [37]~P40(x371)+P40(x372)+~E(x371,x372) % 1.04/1.12 [38]~P15(x381)+P15(x382)+~E(x381,x382) % 1.04/1.12 [39]P7(x392,x393,x394)+~E(x391,x392)+~P7(x391,x393,x394) % 1.04/1.12 [40]P7(x403,x402,x404)+~E(x401,x402)+~P7(x403,x401,x404) % 1.04/1.12 [41]P7(x413,x414,x412)+~E(x411,x412)+~P7(x413,x414,x411) % 1.04/1.12 [42]P6(x422,x423,x424)+~E(x421,x422)+~P6(x421,x423,x424) % 1.04/1.12 [43]P6(x433,x432,x434)+~E(x431,x432)+~P6(x433,x431,x434) % 1.04/1.12 [44]P6(x443,x444,x442)+~E(x441,x442)+~P6(x443,x444,x441) % 1.04/1.12 [45]~P16(x451)+P16(x452)+~E(x451,x452) % 1.04/1.12 [46]~P20(x461)+P20(x462)+~E(x461,x462) % 1.04/1.12 [47]~P17(x471)+P17(x472)+~E(x471,x472) % 1.04/1.12 [48]~P21(x481)+P21(x482)+~E(x481,x482) % 1.04/1.12 [49]~P27(x491)+P27(x492)+~E(x491,x492) % 1.04/1.12 [50]~P11(x501)+P11(x502)+~E(x501,x502) % 1.04/1.12 [51]~P4(x511)+P4(x512)+~E(x511,x512) % 1.04/1.12 [52]~P26(x521)+P26(x522)+~E(x521,x522) % 1.04/1.12 [53]~P32(x531)+P32(x532)+~E(x531,x532) % 1.04/1.12 [54]~P33(x541)+P33(x542)+~E(x541,x542) % 1.04/1.12 [55]~P5(x551)+P5(x552)+~E(x551,x552) % 1.04/1.12 [56]~P43(x561)+P43(x562)+~E(x561,x562) % 1.04/1.12 [57]~P18(x571)+P18(x572)+~E(x571,x572) % 1.04/1.12 [58]~P25(x581)+P25(x582)+~E(x581,x582) % 1.04/1.12 [59]~P28(x591)+P28(x592)+~E(x591,x592) % 1.04/1.12 [60]~P35(x601)+P35(x602)+~E(x601,x602) % 1.04/1.12 [61]~P29(x611)+P29(x612)+~E(x611,x612) % 1.04/1.12 [62]~P9(x621)+P9(x622)+~E(x621,x622) % 1.04/1.12 [63]~P24(x631)+P24(x632)+~E(x631,x632) % 1.04/1.12 [64]~P10(x641)+P10(x642)+~E(x641,x642) % 1.04/1.12 [65]~P34(x651)+P34(x652)+~E(x651,x652) % 1.04/1.12 [66]~P44(x661)+P44(x662)+~E(x661,x662) % 1.04/1.12 [67]~P45(x671)+P45(x672)+~E(x671,x672) % 1.04/1.12 [68]~P46(x681)+P46(x682)+~E(x681,x682) % 1.04/1.12 [69]~P23(x691)+P23(x692)+~E(x691,x692) % 1.04/1.12 [70]~P36(x701)+P36(x702)+~E(x701,x702) % 1.04/1.12 [71]~P37(x711)+P37(x712)+~E(x711,x712) % 1.04/1.12 [72]~P50(x721)+P50(x722)+~E(x721,x722) % 1.04/1.12 [73]~P47(x731)+P47(x732)+~E(x731,x732) % 1.04/1.12 [74]~P14(x741)+P14(x742)+~E(x741,x742) % 1.04/1.12 [75]~P49(x751)+P49(x752)+~E(x751,x752) % 1.04/1.12 [76]~P38(x761)+P38(x762)+~E(x761,x762) % 1.04/1.12 [77]~P31(x771)+P31(x772)+~E(x771,x772) % 1.04/1.12 [78]~P13(x781)+P13(x782)+~E(x781,x782) % 1.04/1.12 [79]~P12(x791)+P12(x792)+~E(x791,x792) % 1.04/1.12 [80]~P8(x801)+P8(x802)+~E(x801,x802) % 1.04/1.12 [81]~P48(x811)+P48(x812)+~E(x811,x812) % 1.04/1.12 [82]~P19(x821)+P19(x822)+~E(x821,x822) % 1.04/1.12 [83]~P30(x831)+P30(x832)+~E(x831,x832) % 1.04/1.12 [84]~P51(x841)+P51(x842)+~E(x841,x842) % 1.04/1.12 % 1.04/1.12 %------------------------------------------- % 1.04/1.12 cnf(615,plain, % 1.04/1.12 (P6(x6151,x6151,a1)), % 1.04/1.12 inference(rename_variables,[],[159])). % 1.04/1.12 cnf(618,plain, % 1.04/1.12 (P6(x6181,x6181,a1)), % 1.04/1.12 inference(rename_variables,[],[159])). % 1.04/1.12 cnf(625,plain, % 1.04/1.12 (~P7(x6251,x6251,a1)), % 1.04/1.12 inference(rename_variables,[],[167])). % 1.04/1.12 cnf(627,plain, % 1.04/1.12 (~P7(x6271,x6271,a1)), % 1.04/1.12 inference(rename_variables,[],[167])). % 1.04/1.12 cnf(630,plain, % 1.04/1.12 (P6(x6301,x6301,a1)), % 1.04/1.12 inference(rename_variables,[],[159])). % 1.04/1.12 cnf(640,plain, % 1.04/1.12 (~P7(x6401,x6401,a1)), % 1.04/1.12 inference(rename_variables,[],[167])). % 1.04/1.12 cnf(643,plain, % 1.04/1.12 (~P7(x6431,x6431,a1)), % 1.04/1.12 inference(rename_variables,[],[167])). % 1.04/1.12 cnf(646,plain, % 1.04/1.12 (~P7(x6461,x6461,a1)), % 1.04/1.12 inference(rename_variables,[],[167])). % 1.04/1.12 cnf(651,plain, % 1.04/1.12 (~P7(x6511,x6511,a1)), % 1.04/1.12 inference(rename_variables,[],[167])). % 1.04/1.12 cnf(654,plain, % 1.04/1.12 (~P7(x6541,x6541,a1)), % 1.04/1.12 inference(rename_variables,[],[167])). % 1.04/1.12 cnf(670,plain, % 1.04/1.12 (~P7(x6701,x6701,a1)), % 1.04/1.12 inference(rename_variables,[],[167])). % 1.04/1.12 cnf(673,plain, % 1.04/1.12 (P6(x6731,x6731,a1)), % 1.04/1.12 inference(rename_variables,[],[159])). % 1.04/1.12 cnf(686,plain, % 1.04/1.12 (~P7(x6861,x6861,a1)), % 1.04/1.12 inference(rename_variables,[],[167])). % 1.04/1.12 cnf(689,plain, % 1.04/1.12 (~P7(x6891,x6891,a1)), % 1.04/1.12 inference(rename_variables,[],[167])). % 1.04/1.12 cnf(692,plain, % 1.04/1.12 (~P7(x6921,x6921,a1)), % 1.04/1.12 inference(rename_variables,[],[167])). % 1.04/1.12 cnf(695,plain, % 1.04/1.12 (~P7(x6951,x6951,a1)), % 1.04/1.12 inference(rename_variables,[],[167])). % 1.04/1.12 cnf(706,plain, % 1.04/1.12 (~P7(x7061,x7061,a1)), % 1.04/1.12 inference(rename_variables,[],[167])). % 1.04/1.12 cnf(709,plain, % 1.04/1.12 (~P7(x7091,x7091,a1)), % 1.04/1.12 inference(rename_variables,[],[167])). % 1.04/1.12 cnf(714,plain, % 1.04/1.12 (~P7(x7141,x7141,a1)), % 1.04/1.12 inference(rename_variables,[],[167])). % 1.04/1.12 cnf(715,plain, % 1.04/1.12 (P6(x7151,x7151,a1)), % 1.04/1.12 inference(rename_variables,[],[159])). % 1.04/1.12 cnf(718,plain, % 1.04/1.12 (~P7(x7181,x7181,a1)), % 1.04/1.12 inference(rename_variables,[],[167])). % 1.04/1.12 cnf(721,plain, % 1.04/1.12 (P6(x7211,x7211,a1)), % 1.04/1.12 inference(rename_variables,[],[159])). % 1.04/1.12 cnf(724,plain, % 1.04/1.12 (P6(x7241,x7241,a1)), % 1.04/1.12 inference(rename_variables,[],[159])). % 1.04/1.12 cnf(727,plain, % 1.04/1.12 (~P7(x7271,x7271,a1)), % 1.04/1.12 inference(rename_variables,[],[167])). % 1.04/1.12 cnf(732,plain, % 1.04/1.12 (~P7(x7321,x7321,a1)), % 1.04/1.12 inference(rename_variables,[],[167])). % 1.04/1.12 cnf(735,plain, % 1.04/1.12 (~P7(x7351,x7351,a1)), % 1.04/1.12 inference(rename_variables,[],[167])). % 1.04/1.12 cnf(738,plain, % 1.04/1.12 (~P7(x7381,x7381,a1)), % 1.04/1.12 inference(rename_variables,[],[167])). % 1.04/1.12 cnf(741,plain, % 1.04/1.12 (~P7(x7411,x7411,a1)), % 1.04/1.12 inference(rename_variables,[],[167])). % 1.04/1.12 cnf(748,plain, % 1.04/1.12 (~P7(x7481,x7481,a1)), % 1.04/1.12 inference(rename_variables,[],[167])). % 1.04/1.12 cnf(751,plain, % 1.04/1.12 (~P7(x7511,x7511,a1)), % 1.04/1.12 inference(rename_variables,[],[167])). % 1.04/1.12 cnf(758,plain, % 1.04/1.12 (~P7(x7581,x7581,a1)), % 1.04/1.12 inference(rename_variables,[],[167])). % 1.04/1.12 cnf(761,plain, % 1.04/1.12 (~P7(x7611,x7611,a1)), % 1.04/1.12 inference(rename_variables,[],[167])). % 1.04/1.12 cnf(764,plain, % 1.04/1.12 (~P7(x7641,x7641,a1)), % 1.04/1.12 inference(rename_variables,[],[167])). % 1.04/1.12 cnf(767,plain, % 1.04/1.12 (~P7(x7671,x7671,a1)), % 1.04/1.12 inference(rename_variables,[],[167])). % 1.04/1.12 cnf(770,plain, % 1.04/1.12 (~P7(x7701,x7701,a1)), % 1.04/1.12 inference(rename_variables,[],[167])). % 1.04/1.12 cnf(773,plain, % 1.04/1.12 (~P7(x7731,x7731,a1)), % 1.04/1.12 inference(rename_variables,[],[167])). % 1.04/1.12 cnf(776,plain, % 1.04/1.12 (~P7(x7761,x7761,a1)), % 1.04/1.12 inference(rename_variables,[],[167])). % 1.04/1.12 cnf(785,plain, % 1.04/1.12 (~P7(x7851,x7851,a1)), % 1.04/1.12 inference(rename_variables,[],[167])). % 1.04/1.12 cnf(788,plain, % 1.04/1.12 (~P7(x7881,x7881,a1)), % 1.04/1.12 inference(rename_variables,[],[167])). % 1.04/1.12 cnf(791,plain, % 1.04/1.12 (~P7(x7911,x7911,a1)), % 1.04/1.12 inference(rename_variables,[],[167])). % 1.04/1.12 cnf(792,plain, % 1.04/1.12 (P6(x7921,x7921,a1)), % 1.04/1.12 inference(rename_variables,[],[159])). % 1.04/1.12 cnf(795,plain, % 1.04/1.12 (~P7(x7951,x7951,a1)), % 1.04/1.12 inference(rename_variables,[],[167])). % 1.04/1.12 cnf(798,plain, % 1.04/1.12 (~P7(x7981,x7981,a1)), % 1.04/1.12 inference(rename_variables,[],[167])). % 1.04/1.12 cnf(803,plain, % 1.04/1.12 (~P7(x8031,x8031,a1)), % 1.04/1.12 inference(rename_variables,[],[167])). % 1.04/1.12 cnf(809,plain, % 1.04/1.12 ($false), % 1.04/1.12 inference(scs_inference,[],[160,163,169,162,159,615,618,630,673,715,721,724,792,167,625,627,640,643,646,651,654,670,686,689,692,695,706,709,714,718,727,732,735,738,741,748,751,758,761,764,767,770,773,776,785,788,791,795,798,803,165,164,85,86,88,89,90,91,92,93,97,102,156,157,158,166,168,95,98,104,106,110,111,122,124,126,128,130,132,239,216,221,243,2,262,265,303,304,439,440,39,40,42,43,175,176,214,215,288,289,337,338,339,341,342,3,295,296,298,299,350,381,494,217,219,220,412,434,435,495,497,512,513,514,515,519,520,567,351,352,353,354,417,418,419,420,421,422,423,424,427,428,431,432,500,504,413,541,543,547,548,549,550,237,414,415,416,461,462,463,464,545,238]), % 1.04/1.12 ['proof']). % 1.04/1.12 % SZS output end Proof % 1.04/1.12 % Total time :0.230000s %------------------------------------------------------------------------------