TSTP Solution File: ALG367-1 by CSE---1.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : ALG367-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n018.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 : Wed Aug 30 15:59:41 EDT 2023
% Result : Unsatisfiable 3.09s 3.11s
% Output : CNFRefutation 3.09s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ALG367-1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.12/0.34 % Computer : n018.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Aug 28 04:23:16 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.55 start to proof:theBenchmark
% 2.93/3.05 %-------------------------------------------
% 2.93/3.05 % File :CSE---1.6
% 2.93/3.05 % Problem :theBenchmark
% 2.93/3.05 % Transform :cnf
% 2.93/3.05 % Format :tptp:raw
% 2.93/3.05 % Command :java -jar mcs_scs.jar %d %s
% 2.93/3.05
% 2.93/3.05 % Result :Theorem 2.160000s
% 2.93/3.05 % Output :CNFRefutation 2.160000s
% 2.93/3.05 %-------------------------------------------
% 2.93/3.05 %------------------------------------------------------------------------------
% 2.93/3.05 % File : ALG367-1 : TPTP v8.1.2. Released v4.1.0.
% 2.93/3.05 % Domain : General Algebra
% 2.93/3.05 % Problem : Fundamental theorem of algebra 0337_3
% 2.93/3.05 % Version : Especial.
% 2.93/3.05 % English :
% 2.93/3.05
% 2.93/3.05 % Refs : [Nip10] Nipkow (2010), Email to Geoff Sutcliffe
% 2.93/3.05 % : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day
% 2.93/3.05 % Source : [Nip10]
% 2.93/3.05 % Names : Fundamental_Theorem_Algebra-0337_3 [Nip10]
% 2.93/3.05
% 2.93/3.05 % Status : Unsatisfiable
% 2.93/3.05 % Rating : 0.33 v8.1.0, 0.32 v7.5.0, 0.21 v7.4.0, 0.24 v7.3.0, 0.25 v7.0.0, 0.40 v6.3.0, 0.36 v6.2.0, 0.40 v6.1.0, 0.43 v6.0.0, 0.60 v5.5.0, 0.80 v5.3.0, 0.83 v5.2.0, 0.81 v5.1.0, 0.82 v5.0.0, 0.79 v4.1.0
% 2.93/3.05 % Syntax : Number of clauses : 965 ( 134 unt; 112 nHn; 609 RR)
% 2.93/3.05 % Number of literals : 2709 ( 456 equ;1632 neg)
% 2.93/3.05 % Maximal clause size : 6 ( 2 avg)
% 2.93/3.05 % Maximal term depth : 5 ( 1 avg)
% 2.93/3.05 % Number of predicates : 73 ( 72 usr; 1 prp; 0-3 aty)
% 2.93/3.05 % Number of functors : 28 ( 28 usr; 5 con; 0-3 aty)
% 2.93/3.05 % Number of variables : 2697 ( 131 sgn)
% 2.93/3.05 % SPC : CNF_UNS_RFO_SEQ_NHN
% 2.93/3.05
% 2.93/3.05 % Comments :
% 2.93/3.05 %------------------------------------------------------------------------------
% 2.93/3.05 cnf(cls_inf__greatest_0,axiom,
% 2.93/3.05 ( ~ class_Lattices_Olower__semilattice(T_a)
% 2.93/3.05 | c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a)
% 2.93/3.05 | ~ c_lessequals(V_x,V_z,T_a)
% 2.93/3.05 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 2.93/3.05
% 2.93/3.05 cnf(cls_abs__less__iff_2,axiom,
% 2.93/3.05 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 2.93/3.05 | c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a)
% 2.93/3.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a)
% 2.93/3.05 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 2.93/3.05
% 2.93/3.06 cnf(cls_mult__le__0__iff_0,axiom,
% 2.93/3.06 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.93/3.06 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.93/3.06 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 2.93/3.06 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.93/3.06
% 2.93/3.06 cnf(cls_mult__le__0__iff_1,axiom,
% 2.93/3.06 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.93/3.06 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 2.93/3.06 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 2.93/3.06 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.93/3.06
% 2.93/3.06 cnf(cls_mult__le__0__iff_2,axiom,
% 2.93/3.06 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.93/3.06 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.93/3.06 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.93/3.06 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.93/3.06
% 2.93/3.06 cnf(cls_mult__le__0__iff_3,axiom,
% 2.93/3.06 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.93/3.06 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 2.93/3.06 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.93/3.06 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.93/3.06
% 2.93/3.06 cnf(cls_mult__neg__pos_0,axiom,
% 2.93/3.06 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 2.93/3.06 | 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)
% 2.93/3.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 2.93/3.06 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.93/3.06
% 2.93/3.06 cnf(cls_mult__pos__neg_0,axiom,
% 2.93/3.06 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 2.93/3.06 | 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)
% 2.93/3.06 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.93/3.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.93/3.06
% 2.93/3.06 cnf(cls_mult__pos__neg2_0,axiom,
% 2.93/3.06 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 2.93/3.06 | 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)
% 2.93/3.06 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.93/3.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.93/3.06
% 2.93/3.06 cnf(cls_abs__le__D2_0,axiom,
% 2.93/3.06 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 2.93/3.06 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a)
% 2.93/3.06 | ~ c_lessequals(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a) ) ).
% 2.93/3.06
% 2.93/3.06 cnf(cls_sup__inf__distrib1_0,axiom,
% 2.93/3.06 ( ~ class_Lattices_Odistrib__lattice(T_a)
% 2.93/3.06 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),c_Lattices_Oupper__semilattice__class_Osup(V_x,V_z,T_a),T_a) ) ).
% 2.93/3.06
% 2.93/3.06 cnf(cls_sup__inf__distrib2_0,axiom,
% 2.93/3.06 ( ~ class_Lattices_Odistrib__lattice(T_a)
% 2.93/3.06 | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),V_x,T_a) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a),c_Lattices_Oupper__semilattice__class_Osup(V_z,V_x,T_a),T_a) ) ).
% 2.93/3.06
% 2.93/3.06 cnf(cls_dvd__mult_0,axiom,
% 2.93/3.06 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.93/3.06 | c_Ring__and__Field_Odvd__class_Odvd(V_a,c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a)
% 2.93/3.06 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_c,T_a) ) ).
% 2.93/3.06
% 2.93/3.06 cnf(cls_dvd__mult2_0,axiom,
% 2.93/3.06 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.93/3.06 | c_Ring__and__Field_Odvd__class_Odvd(V_a,c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a)
% 2.93/3.06 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ).
% 2.93/3.06
% 2.93/3.06 cnf(cls_dvd__mult__left_0,axiom,
% 2.93/3.06 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.93/3.06 | c_Ring__and__Field_Odvd__class_Odvd(V_a,V_c,T_a)
% 2.93/3.06 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_c,T_a) ) ).
% 2.93/3.06
% 2.93/3.06 cnf(cls_dvd__mult__right_0,axiom,
% 2.93/3.06 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.93/3.06 | c_Ring__and__Field_Odvd__class_Odvd(V_b,V_c,T_a)
% 2.93/3.06 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_c,T_a) ) ).
% 2.93/3.06
% 2.93/3.06 cnf(cls_pCons__eq__iff_1,axiom,
% 2.93/3.06 ( ~ class_HOL_Ozero(T_a)
% 2.93/3.06 | c_Polynomial_OpCons(V_a,V_p,T_a) != c_Polynomial_OpCons(V_b,V_q,T_a)
% 2.93/3.06 | V_p = V_q ) ).
% 2.93/3.06
% 2.93/3.06 cnf(cls_pCons__eq__iff_0,axiom,
% 2.93/3.06 ( ~ class_HOL_Ozero(T_a)
% 2.93/3.06 | c_Polynomial_OpCons(V_a,V_p,T_a) != c_Polynomial_OpCons(V_b,V_q,T_a)
% 2.93/3.06 | V_a = V_b ) ).
% 2.93/3.06
% 2.93/3.06 cnf(cls_pos__add__strict_0,axiom,
% 2.93/3.06 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 2.93/3.06 | c_HOL_Oord__class_Oless(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a)
% 2.93/3.06 | ~ c_HOL_Oord__class_Oless(V_b,V_c,T_a)
% 2.93/3.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.93/3.06
% 2.93/3.06 cnf(cls_mult__mono1_0,axiom,
% 2.93/3.06 ( ~ class_Ring__and__Field_Omult__mono1(T_a)
% 2.93/3.06 | 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)
% 2.93/3.06 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 2.93/3.06 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 2.93/3.06
% 2.93/3.06 cnf(cls_mult__left__mono_0,axiom,
% 2.93/3.06 ( ~ class_Ring__and__Field_Omult__mono(T_a)
% 2.93/3.06 | 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)
% 2.93/3.06 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 2.93/3.06 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 2.93/3.06
% 2.93/3.06 cnf(cls_mult__right__mono_0,axiom,
% 2.93/3.06 ( ~ class_Ring__and__Field_Omult__mono(T_a)
% 2.93/3.06 | 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)
% 2.93/3.06 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 2.93/3.06 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 2.93/3.06
% 2.93/3.06 cnf(cls_mult__left__mono__neg_0,axiom,
% 2.93/3.06 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 2.93/3.06 | 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)
% 2.93/3.06 | ~ c_lessequals(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.93/3.06 | ~ c_lessequals(V_b,V_a,T_a) ) ).
% 2.93/3.06
% 2.93/3.06 cnf(cls_mult__right__mono__neg_0,axiom,
% 2.93/3.06 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 2.93/3.06 | 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)
% 2.93/3.06 | ~ c_lessequals(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.93/3.06 | ~ c_lessequals(V_b,V_a,T_a) ) ).
% 2.93/3.06
% 2.93/3.06 cnf(cls_sup__eq__if_1,axiom,
% 2.93/3.06 ( ~ class_Orderings_Olinorder(T_a)
% 2.93/3.06 | ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 2.93/3.06 | c_Lattices_Oupper__semilattice__class_Osup(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) = V_a
% 2.93/3.06 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.93/3.06
% 2.93/3.06 cnf(cls_class__ringb_Oadd__scale__eq__noteq_0,axiom,
% 2.93/3.06 ( ~ class_Ring__and__Field_Oidom(T_a)
% 2.93/3.06 | ~ class_Int_Onumber__ring(T_a)
% 2.93/3.06 | 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)
% 2.93/3.06 | V_c = V_d
% 2.93/3.06 | V_r = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.93/3.06
% 2.93/3.06 cnf(cls_sum__squares__eq__zero__iff_0,axiom,
% 2.93/3.06 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.93/3.06 | 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)
% 2.93/3.06 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.93/3.06
% 2.93/3.06 cnf(cls_sum__squares__eq__zero__iff_1,axiom,
% 2.93/3.06 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.93/3.06 | 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)
% 2.93/3.06 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.93/3.06
% 2.93/3.06 cnf(cls_divide__less__eq_0,axiom,
% 2.93/3.06 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.93/3.06 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.93/3.06 | c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a)
% 2.93/3.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 2.93/3.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) ) ).
% 2.93/3.06
% 2.93/3.06 cnf(cls_divide__less__eq_6,axiom,
% 2.93/3.06 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.93/3.06 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.93/3.06 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a)
% 2.93/3.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 2.93/3.06 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) ) ).
% 2.93/3.06
% 2.93/3.06 cnf(cls_less__divide__eq_0,axiom,
% 2.93/3.06 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.93/3.06 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.93/3.06 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a)
% 2.93/3.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 2.93/3.06 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ).
% 2.93/3.06
% 2.93/3.06 cnf(cls_less__divide__eq_6,axiom,
% 2.93/3.06 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.93/3.06 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.93/3.06 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 2.93/3.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 2.93/3.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) ) ).
% 2.93/3.06
% 2.93/3.06 cnf(cls_mult__imp__div__pos__less_0,axiom,
% 2.93/3.06 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.93/3.06 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),V_z,T_a)
% 2.93/3.06 | ~ c_HOL_Oord__class_Oless(V_x,c_HOL_Otimes__class_Otimes(V_z,V_y,T_a),T_a)
% 2.93/3.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) ) ).
% 2.93/3.06
% 2.93/3.06 cnf(cls_mult__imp__less__div__pos_0,axiom,
% 2.93/3.06 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.93/3.06 | c_HOL_Oord__class_Oless(V_z,c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),T_a)
% 2.93/3.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_z,V_y,T_a),V_x,T_a)
% 2.93/3.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) ) ).
% 2.93/3.06
% 2.93/3.06 cnf(cls_le__supE_0,axiom,
% 2.93/3.06 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 2.93/3.06 | c_lessequals(V_a,V_x,T_a)
% 2.93/3.06 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a) ) ).
% 2.93/3.06
% 2.93/3.06 cnf(cls_le__supE_1,axiom,
% 2.93/3.06 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 2.93/3.06 | c_lessequals(V_b,V_x,T_a)
% 2.93/3.06 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a) ) ).
% 2.93/3.06
% 2.93/3.06 cnf(cls_le__supI1_0,axiom,
% 2.93/3.06 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 2.93/3.06 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a)
% 2.93/3.06 | ~ c_lessequals(V_x,V_a,T_a) ) ).
% 2.93/3.06
% 2.93/3.06 cnf(cls_le__supI2_0,axiom,
% 2.93/3.06 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 2.93/3.06 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a)
% 2.93/3.06 | ~ c_lessequals(V_x,V_b,T_a) ) ).
% 2.93/3.06
% 2.93/3.06 cnf(cls_le__sup__iff_0,axiom,
% 2.93/3.06 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 2.93/3.06 | c_lessequals(V_x,V_z,T_a)
% 2.93/3.06 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a) ) ).
% 2.93/3.06
% 2.93/3.06 cnf(cls_le__sup__iff_1,axiom,
% 2.93/3.06 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 2.93/3.06 | c_lessequals(V_y,V_z,T_a)
% 2.93/3.06 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a) ) ).
% 2.93/3.06
% 2.93/3.06 cnf(cls_zero__less__divide__iff_0,axiom,
% 2.93/3.06 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.93/3.06 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.93/3.06 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.93/3.06 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 2.93/3.06 | ~ 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) ) ).
% 2.93/3.06
% 2.93/3.06 cnf(cls_zero__less__divide__iff_1,axiom,
% 2.93/3.06 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.93/3.06 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.93/3.06 | c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.93/3.06 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 2.93/3.06 | ~ 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) ) ).
% 2.93/3.06
% 2.93/3.06 cnf(cls_zero__less__divide__iff_2,axiom,
% 2.93/3.06 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.93/3.06 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.93/3.07 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.93/3.07 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 2.93/3.07 | ~ 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) ) ).
% 2.93/3.07
% 2.93/3.07 cnf(cls_zero__less__divide__iff_3,axiom,
% 2.93/3.07 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.93/3.07 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.93/3.07 | c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.93/3.07 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 2.93/3.07 | ~ 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) ) ).
% 2.93/3.07
% 2.93/3.07 cnf(cls_divide__nonneg__neg_0,axiom,
% 2.93/3.07 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.93/3.07 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.93/3.07 | ~ c_HOL_Oord__class_Oless(V_y,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.93/3.07 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ).
% 2.93/3.07
% 2.93/3.07 cnf(cls_divide__nonpos__pos_0,axiom,
% 2.93/3.07 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.93/3.07 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.93/3.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)
% 2.93/3.07 | ~ c_lessequals(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.93/3.07
% 2.93/3.07 cnf(cls_mult__idem_0,axiom,
% 2.93/3.07 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(T_a)
% 2.93/3.07 | c_HOL_Otimes__class_Otimes(V_x,V_x,T_a) = V_x ) ).
% 2.93/3.07
% 2.93/3.07 cnf(cls_mult__strict__mono_H_0,axiom,
% 2.93/3.07 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 2.93/3.07 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_d,T_a),T_a)
% 2.93/3.07 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 2.93/3.07 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 2.93/3.07 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a)
% 2.93/3.07 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 2.93/3.07
% 2.93/3.07 cnf(cls_less__eqI_1,axiom,
% 2.93/3.07 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.93/3.07 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 2.93/3.07 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 2.93/3.07 | ~ c_HOL_Oord__class_Oless(V_x_H,V_y_H,T_a) ) ).
% 2.93/3.07
% 2.93/3.07 cnf(cls_less__eqI_0,axiom,
% 2.93/3.07 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.93/3.07 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 2.93/3.07 | c_HOL_Oord__class_Oless(V_x_H,V_y_H,T_a)
% 2.93/3.07 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 2.93/3.07
% 2.93/3.07 cnf(cls_le__eqI_1,axiom,
% 2.93/3.07 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.93/3.07 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 2.93/3.07 | c_lessequals(V_y,V_x,T_a)
% 2.93/3.07 | ~ c_lessequals(V_y_H,V_x_H,T_a) ) ).
% 2.93/3.07
% 2.93/3.07 cnf(cls_le__eqI_0,axiom,
% 2.93/3.07 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.93/3.07 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 2.93/3.07 | c_lessequals(V_y_H,V_x_H,T_a)
% 2.93/3.07 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 2.93/3.07
% 2.93/3.07 cnf(cls_inf__period_I4_J_0,axiom,
% 2.93/3.07 ( ~ class_Ring__and__Field_Odvd(T_a)
% 2.93/3.07 | ~ class_Ring__and__Field_Ocomm__ring(T_a)
% 2.93/3.07 | c_Ring__and__Field_Odvd__class_Odvd(V_d,c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_x,c_HOL_Otimes__class_Otimes(V_k,V_D,T_a),T_a),V_t,T_a),T_a)
% 2.93/3.07 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_d,c_HOL_Oplus__class_Oplus(V_x,V_t,T_a),T_a)
% 2.93/3.07 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_d,V_D,T_a) ) ).
% 2.93/3.07
% 2.93/3.07 cnf(cls_inf__period_I4_J_1,axiom,
% 2.93/3.07 ( ~ class_Ring__and__Field_Odvd(T_a)
% 2.93/3.07 | ~ class_Ring__and__Field_Ocomm__ring(T_a)
% 2.93/3.07 | c_Ring__and__Field_Odvd__class_Odvd(V_d,c_HOL_Oplus__class_Oplus(V_x,V_t,T_a),T_a)
% 2.93/3.07 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_d,c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_x,c_HOL_Otimes__class_Otimes(V_k,V_D,T_a),T_a),V_t,T_a),T_a)
% 2.93/3.07 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_d,V_D,T_a) ) ).
% 2.93/3.07
% 2.93/3.07 cnf(cls_min__max_Osup__inf__distrib1_0,axiom,
% 2.93/3.07 ( ~ class_Orderings_Olinorder(T_a)
% 2.93/3.07 | c_Orderings_Oord__class_Omax(V_x,c_Orderings_Oord__class_Omin(V_y,V_z,T_a),T_a) = c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),c_Orderings_Oord__class_Omax(V_x,V_z,T_a),T_a) ) ).
% 2.93/3.07
% 2.93/3.07 cnf(cls_min__max_Osup__inf__distrib2_0,axiom,
% 2.93/3.07 ( ~ class_Orderings_Olinorder(T_a)
% 2.93/3.07 | c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(V_y,V_z,T_a),V_x,T_a) = c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(V_y,V_x,T_a),c_Orderings_Oord__class_Omax(V_z,V_x,T_a),T_a) ) ).
% 2.93/3.07
% 2.93/3.07 cnf(cls_order__less__le_2,axiom,
% 2.93/3.07 ( ~ class_Orderings_Oorder(T_a)
% 2.93/3.07 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 2.93/3.07 | V_x = V_y
% 2.93/3.07 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 2.93/3.07
% 2.93/3.07 cnf(cls_order__le__less_0,axiom,
% 2.93/3.07 ( ~ class_Orderings_Oorder(T_a)
% 2.93/3.07 | V_x = V_y
% 2.93/3.07 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 2.93/3.07 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 2.93/3.07
% 2.93/3.07 cnf(cls_order__le__neq__trans_0,axiom,
% 2.93/3.07 ( ~ class_Orderings_Oorder(T_a)
% 2.93/3.07 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 2.93/3.07 | V_a = V_b
% 2.93/3.07 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 2.93/3.07
% 2.93/3.07 cnf(cls_order__neq__le__trans_0,axiom,
% 2.93/3.07 ( ~ class_Orderings_Oorder(T_a)
% 2.93/3.07 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 2.93/3.07 | ~ c_lessequals(V_a,V_b,T_a)
% 2.93/3.07 | V_a = V_b ) ).
% 2.93/3.07
% 2.93/3.07 cnf(cls_linorder__antisym__conv1_0,axiom,
% 2.93/3.07 ( ~ class_Orderings_Olinorder(T_a)
% 2.93/3.07 | V_x = V_y
% 2.93/3.07 | ~ c_lessequals(V_x,V_y,T_a)
% 2.93/3.07 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 2.93/3.07
% 2.93/3.07 cnf(cls_linorder__antisym__conv2_0,axiom,
% 2.93/3.07 ( ~ class_Orderings_Olinorder(T_a)
% 2.93/3.07 | V_x = V_y
% 2.93/3.07 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 2.93/3.07 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 2.93/3.07
% 2.93/3.07 cnf(cls_xt1_I12_J_0,axiom,
% 2.93/3.07 ( ~ class_Orderings_Oorder(T_a)
% 2.93/3.07 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 2.93/3.07 | ~ c_lessequals(V_b,V_a,T_a)
% 2.93/3.07 | V_a = V_b ) ).
% 2.93/3.07
% 2.93/3.07 cnf(cls_xt1_I11_J_0,axiom,
% 2.93/3.07 ( ~ class_Orderings_Oorder(T_a)
% 2.93/3.07 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 2.93/3.07 | V_a = V_b
% 2.93/3.07 | ~ c_lessequals(V_b,V_a,T_a) ) ).
% 2.93/3.07
% 2.93/3.07 cnf(cls_divide__right__mono_0,axiom,
% 2.93/3.07 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.93/3.07 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.93/3.07 | 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)
% 2.93/3.07 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 2.93/3.07 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 2.93/3.07
% 2.93/3.07 cnf(cls_divide__right__mono__neg_0,axiom,
% 2.93/3.07 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.93/3.07 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.93/3.07 | 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)
% 2.93/3.07 | ~ c_lessequals(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.93/3.07 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 2.93/3.07
% 2.93/3.07 cnf(cls_split__mult__pos__le_0,axiom,
% 2.93/3.07 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 2.93/3.07 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 2.93/3.07 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 2.93/3.07 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.93/3.07
% 2.93/3.07 cnf(cls_split__mult__pos__le_1,axiom,
% 2.93/3.07 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 2.93/3.07 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 2.93/3.07 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.93/3.07 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.93/3.07
% 2.93/3.07 cnf(cls_mult__nonpos__nonpos_0,axiom,
% 2.93/3.07 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 2.93/3.07 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 2.93/3.07 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.93/3.07 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.93/3.07
% 2.93/3.07 cnf(cls_zero__le__square_0,axiom,
% 2.93/3.07 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.93/3.07 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_a,T_a),T_a) ) ).
% 2.93/3.07
% 2.93/3.07 cnf(cls_zero__le__mult__iff_4,axiom,
% 2.93/3.07 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.93/3.07 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 2.93/3.07 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 2.93/3.07 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.93/3.07
% 2.93/3.07 cnf(cls_zero__le__mult__iff_5,axiom,
% 2.93/3.07 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.93/3.07 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 2.93/3.07 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.93/3.07 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.93/3.07
% 2.93/3.07 cnf(cls_mult__nonneg__nonneg_0,axiom,
% 2.93/3.07 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 2.93/3.07 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 2.93/3.07 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 2.93/3.07 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.93/3.07
% 2.93/3.07 cnf(cls_abs__triangle__ineq2_0,axiom,
% 2.93/3.07 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 2.93/3.07 | c_lessequals(c_HOL_Ominus__class_Ominus(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),T_a),T_a) ) ).
% 2.93/3.07
% 2.93/3.07 cnf(cls_ab__semigroup__mult__class_Omult__ac_I1_J_0,axiom,
% 2.93/3.07 ( ~ class_OrderedGroup_Oab__semigroup__mult(T_a)
% 2.93/3.07 | 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) ) ).
% 2.93/3.07
% 2.93/3.07 cnf(cls_class__semiring_Osemiring__rules_I16_J_0,axiom,
% 2.93/3.07 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.93/3.07 | 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) ) ).
% 2.93/3.07
% 2.93/3.07 cnf(cls_class__semiring_Osemiring__rules_I17_J_0,axiom,
% 2.93/3.07 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.93/3.07 | 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) ) ).
% 2.93/3.07
% 2.93/3.07 cnf(cls_class__semiring_Osemiring__rules_I18_J_0,axiom,
% 2.93/3.07 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.93/3.07 | 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) ) ).
% 2.93/3.07
% 2.93/3.07 cnf(cls_class__semiring_Osemiring__rules_I19_J_0,axiom,
% 2.93/3.07 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.93/3.07 | 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) ) ).
% 2.93/3.07
% 2.93/3.07 cnf(cls_class__semiring_Omul__a_0,axiom,
% 2.93/3.07 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.93/3.07 | 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) ) ).
% 2.93/3.07
% 2.93/3.07 cnf(cls_frac__less_0,axiom,
% 2.93/3.07 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.93/3.07 | 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)
% 2.93/3.07 | ~ c_lessequals(V_w,V_z,T_a)
% 2.93/3.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_w,T_a)
% 2.93/3.07 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 2.93/3.07 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ).
% 2.93/3.07
% 2.93/3.07 cnf(cls_zero__less__double__add__iff__zero__less__single__add_0,axiom,
% 2.93/3.07 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 2.93/3.07 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 2.93/3.07 | ~ 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) ) ).
% 2.93/3.07
% 2.93/3.07 cnf(cls_zero__less__double__add__iff__zero__less__single__add_1,axiom,
% 2.93/3.07 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 2.93/3.07 | 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)
% 2.93/3.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.93/3.07
% 2.93/3.07 cnf(cls_less__supI1_0,axiom,
% 2.93/3.07 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 2.93/3.07 | c_HOL_Oord__class_Oless(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a)
% 2.93/3.07 | ~ c_HOL_Oord__class_Oless(V_x,V_a,T_a) ) ).
% 2.93/3.07
% 2.93/3.07 cnf(cls_less__supI2_0,axiom,
% 2.93/3.07 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 2.93/3.07 | c_HOL_Oord__class_Oless(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a)
% 2.93/3.07 | ~ c_HOL_Oord__class_Oless(V_x,V_b,T_a) ) ).
% 2.93/3.07
% 2.93/3.07 cnf(cls_abs__minus__commute_0,axiom,
% 2.93/3.07 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 2.93/3.07 | c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),T_a) = c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(V_b,V_a,T_a),T_a) ) ).
% 2.93/3.07
% 2.93/3.07 cnf(cls_le__inf__iff_2,axiom,
% 2.93/3.07 ( ~ class_Lattices_Olower__semilattice(T_a)
% 2.93/3.07 | c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a)
% 2.93/3.07 | ~ c_lessequals(V_x,V_z,T_a)
% 2.93/3.07 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 2.93/3.07
% 2.93/3.07 cnf(cls_le__infI_0,axiom,
% 2.93/3.07 ( ~ class_Lattices_Olower__semilattice(T_a)
% 2.93/3.07 | c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),T_a)
% 2.93/3.07 | ~ c_lessequals(V_x,V_b,T_a)
% 2.93/3.07 | ~ c_lessequals(V_x,V_a,T_a) ) ).
% 2.93/3.07
% 2.93/3.07 cnf(cls_inf__le2_0,axiom,
% 2.93/3.07 ( ~ class_Lattices_Olower__semilattice(T_a)
% 2.93/3.07 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_y,T_a) ) ).
% 2.93/3.07
% 2.93/3.07 cnf(cls_inf__le1_0,axiom,
% 2.93/3.07 ( ~ class_Lattices_Olower__semilattice(T_a)
% 2.93/3.07 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_x,T_a) ) ).
% 2.93/3.07
% 2.93/3.07 cnf(cls_inf__sup__ord_I2_J_0,axiom,
% 2.93/3.07 ( ~ class_Lattices_Olattice(T_a)
% 2.93/3.07 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_y,T_a) ) ).
% 2.93/3.07
% 2.93/3.07 cnf(cls_inf__sup__ord_I1_J_0,axiom,
% 2.93/3.07 ( ~ class_Lattices_Olattice(T_a)
% 2.93/3.07 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_x,T_a) ) ).
% 2.93/3.07
% 2.93/3.07 cnf(cls_neg__le__0__iff__le_1,axiom,
% 2.93/3.07 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.93/3.07 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.93/3.07 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.93/3.07
% 2.93/3.07 cnf(cls_neg__le__0__iff__le_0,axiom,
% 2.93/3.07 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.93/3.07 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 2.93/3.07 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.93/3.07
% 2.93/3.07 cnf(cls_mult__left__idem_0,axiom,
% 2.93/3.07 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(T_a)
% 2.93/3.07 | 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) ) ).
% 2.93/3.07
% 2.93/3.07 cnf(cls_le__eq__neg_1,axiom,
% 2.93/3.07 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 2.93/3.07 | c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a)
% 2.93/3.07 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.93/3.07
% 2.93/3.07 cnf(cls_le__eq__neg_0,axiom,
% 2.93/3.07 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 2.93/3.07 | c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.93/3.07 | ~ c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ).
% 2.93/3.07
% 2.93/3.07 cnf(cls_minus__mult__right_0,axiom,
% 2.93/3.07 ( ~ class_Ring__and__Field_Oring(T_a)
% 2.93/3.07 | c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) = c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ).
% 2.93/3.07
% 2.93/3.07 cnf(cls_minus__mult__left_0,axiom,
% 2.93/3.07 ( ~ class_Ring__and__Field_Oring(T_a)
% 2.93/3.07 | c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) ) ).
% 2.93/3.07
% 2.93/3.07 cnf(cls_mult__frac__frac_0,axiom,
% 2.93/3.07 ( ~ class_Ring__and__Field_Ofield(T_a)
% 2.93/3.07 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.93/3.07 | 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) ) ).
% 2.93/3.07
% 2.93/3.07 cnf(cls_abs__eq__mult_3,axiom,
% 2.93/3.07 ( ~ class_Ring__and__Field_Opordered__ring__abs(T_a)
% 2.93/3.07 | c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a)
% 2.93/3.07 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.93/3.07 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.93/3.07
% 2.93/3.07 cnf(cls_abs__eq__mult_2,axiom,
% 2.93/3.07 ( ~ class_Ring__and__Field_Opordered__ring__abs(T_a)
% 2.93/3.07 | c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a)
% 2.93/3.07 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 2.93/3.07 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.93/3.07
% 2.93/3.07 cnf(cls_abs__eq__mult_1,axiom,
% 2.93/3.07 ( ~ class_Ring__and__Field_Opordered__ring__abs(T_a)
% 2.93/3.07 | c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a)
% 2.93/3.07 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.93/3.07 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.93/3.07
% 2.93/3.07 cnf(cls_abs__eq__mult_0,axiom,
% 2.93/3.07 ( ~ class_Ring__and__Field_Opordered__ring__abs(T_a)
% 2.93/3.07 | c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a)
% 2.93/3.07 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 2.93/3.07 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.93/3.07
% 2.93/3.07 cnf(cls_abs__mult_0,axiom,
% 2.93/3.07 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 2.93/3.07 | c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a) ) ).
% 2.93/3.07
% 2.93/3.07 cnf(cls_dvd__mult__cancel__right_1,axiom,
% 2.93/3.07 ( ~ class_Ring__and__Field_Oidom(T_a)
% 2.93/3.07 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a),c_HOL_Otimes__class_Otimes(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a),T_a) ) ).
% 2.93/3.07
% 2.93/3.07 cnf(cls_dvd__mult__cancel__left_1,axiom,
% 2.93/3.07 ( ~ class_Ring__and__Field_Oidom(T_a)
% 2.93/3.07 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a),T_a) ) ).
% 2.93/3.07
% 2.93/3.07 cnf(cls_dvd__trans_0,axiom,
% 2.93/3.07 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.93/3.07 | c_Ring__and__Field_Odvd__class_Odvd(V_a,V_c,T_a)
% 2.93/3.07 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_b,V_c,T_a)
% 2.93/3.07 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ).
% 2.93/3.07
% 2.93/3.07 cnf(cls_dvd__refl_0,axiom,
% 2.93/3.07 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.93/3.07 | c_Ring__and__Field_Odvd__class_Odvd(V_a,V_a,T_a) ) ).
% 2.93/3.07
% 2.93/3.07 cnf(cls_scaleR__right_Odiff_0,axiom,
% 2.93/3.07 ( ~ class_RealVector_Oreal__vector(T_a)
% 2.93/3.07 | c_RealVector_OscaleR__class_OscaleR(V_a,c_HOL_Ominus__class_Ominus(V_x,V_y,T_a),T_a) = c_HOL_Ominus__class_Ominus(c_RealVector_OscaleR__class_OscaleR(V_a,V_x,T_a),c_RealVector_OscaleR__class_OscaleR(V_a,V_y,T_a),T_a) ) ).
% 2.93/3.07
% 2.93/3.07 cnf(cls_scaleR_Odiff__right_0,axiom,
% 2.93/3.07 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 2.93/3.07 | c_RealVector_OscaleR__class_OscaleR(V_a,c_HOL_Ominus__class_Ominus(V_b,V_b_H,T_a),T_a) = c_HOL_Ominus__class_Ominus(c_RealVector_OscaleR__class_OscaleR(V_a,V_b,T_a),c_RealVector_OscaleR__class_OscaleR(V_a,V_b_H,T_a),T_a) ) ).
% 2.93/3.07
% 2.93/3.07 cnf(cls_less__infI2_0,axiom,
% 2.93/3.07 ( ~ class_Lattices_Olower__semilattice(T_a)
% 2.93/3.07 | c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),V_x,T_a)
% 2.93/3.07 | ~ c_HOL_Oord__class_Oless(V_b,V_x,T_a) ) ).
% 2.93/3.07
% 2.93/3.07 cnf(cls_less__infI1_0,axiom,
% 2.93/3.08 ( ~ class_Lattices_Olower__semilattice(T_a)
% 2.93/3.08 | c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),V_x,T_a)
% 2.93/3.08 | ~ c_HOL_Oord__class_Oless(V_a,V_x,T_a) ) ).
% 2.93/3.08
% 2.93/3.08 cnf(cls_inf__sup__absorb_0,axiom,
% 2.93/3.08 ( ~ class_Lattices_Olattice(T_a)
% 2.93/3.08 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) = V_x ) ).
% 2.93/3.08
% 2.93/3.08 cnf(cls_abs__of__nonneg_0,axiom,
% 2.93/3.08 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 2.93/3.08 | c_HOL_Oabs__class_Oabs(V_a,T_a) = V_a
% 2.93/3.08 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.93/3.08
% 2.93/3.08 cnf(cls_min__max_Osup__idem_0,axiom,
% 2.93/3.08 ( ~ class_Orderings_Olinorder(T_a)
% 2.93/3.08 | c_Orderings_Oord__class_Omax(V_x,V_x,T_a) = V_x ) ).
% 2.93/3.08
% 2.93/3.08 cnf(cls_linorder__neqE__ordered__idom_0,axiom,
% 2.93/3.08 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 2.93/3.08 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 2.93/3.08 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 2.93/3.08 | V_x = V_y ) ).
% 2.93/3.08
% 2.93/3.08 cnf(cls_not__less__iff__gr__or__eq_0,axiom,
% 2.93/3.08 ( ~ class_Orderings_Olinorder(T_a)
% 2.93/3.08 | V_x = V_y
% 2.93/3.08 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 2.93/3.08 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 2.93/3.08
% 2.93/3.08 cnf(cls_linorder__antisym__conv3_0,axiom,
% 2.93/3.08 ( ~ class_Orderings_Olinorder(T_a)
% 2.93/3.08 | V_x = V_y
% 2.93/3.08 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 2.93/3.08 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 2.93/3.08
% 2.93/3.08 cnf(cls_linorder__less__linear_0,axiom,
% 2.93/3.08 ( ~ class_Orderings_Olinorder(T_a)
% 2.93/3.08 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 2.93/3.08 | V_x = V_y
% 2.93/3.08 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 2.93/3.08
% 2.93/3.08 cnf(cls_order__antisym__conv_0,axiom,
% 2.93/3.08 ( ~ class_Orderings_Oorder(T_a)
% 2.93/3.08 | V_x = V_y
% 2.93/3.08 | ~ c_lessequals(V_x,V_y,T_a)
% 2.93/3.08 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 2.93/3.08
% 2.93/3.08 cnf(cls_order__eq__iff_2,axiom,
% 2.93/3.08 ( ~ class_Orderings_Oorder(T_a)
% 2.93/3.08 | V_x = V_y
% 2.93/3.08 | ~ c_lessequals(V_y,V_x,T_a)
% 2.93/3.08 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 2.93/3.08
% 2.93/3.08 cnf(cls_linorder__neqE_0,axiom,
% 2.93/3.08 ( ~ class_Orderings_Olinorder(T_a)
% 2.93/3.08 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 2.93/3.08 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 2.93/3.08 | V_x = V_y ) ).
% 2.93/3.08
% 2.93/3.08 cnf(cls_order__antisym_0,axiom,
% 2.93/3.08 ( ~ class_Orderings_Oorder(T_a)
% 2.93/3.08 | V_x = V_y
% 2.93/3.08 | ~ c_lessequals(V_y,V_x,T_a)
% 2.93/3.08 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 2.93/3.08
% 2.93/3.08 cnf(cls_compl__eq__compl__iff_0,axiom,
% 2.93/3.08 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 2.93/3.08 | c_HOL_Ouminus__class_Ouminus(V_x,T_a) != c_HOL_Ouminus__class_Ouminus(V_y,T_a)
% 2.93/3.08 | V_x = V_y ) ).
% 2.93/3.08
% 2.93/3.08 cnf(cls_neg__equal__iff__equal_0,axiom,
% 2.93/3.08 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 2.93/3.08 | c_HOL_Ouminus__class_Ouminus(V_a,T_a) != c_HOL_Ouminus__class_Ouminus(V_b,T_a)
% 2.93/3.08 | V_a = V_b ) ).
% 2.93/3.08
% 2.93/3.08 cnf(cls_eq__divide__imp_0,axiom,
% 2.93/3.08 ( ~ class_Ring__and__Field_Ofield(T_a)
% 2.93/3.08 | V_c = c_HOL_Ozero__class_Ozero(T_a)
% 2.93/3.08 | V_a = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_c,T_a) ) ).
% 2.93/3.08
% 2.93/3.08 cnf(cls_divide__eq__imp_0,axiom,
% 2.93/3.08 ( ~ class_Ring__and__Field_Ofield(T_a)
% 2.93/3.08 | V_c = c_HOL_Ozero__class_Ozero(T_a)
% 2.93/3.08 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_c,T_a) = V_a ) ).
% 2.93/3.08
% 2.93/3.08 cnf(cls_estimate__by__abs_0,axiom,
% 2.93/3.08 ( ~ class_OrderedGroup_Olordered__ab__group__add__abs(T_a)
% 2.93/3.08 | c_lessequals(V_a,c_HOL_Oplus__class_Oplus(V_c,c_HOL_Oabs__class_Oabs(V_b,T_a),T_a),T_a)
% 2.93/3.08 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) ) ).
% 2.93/3.08
% 2.93/3.08 cnf(cls_eq__divide__eq_3,axiom,
% 2.93/3.08 ( ~ class_Ring__and__Field_Ofield(T_a)
% 2.93/3.08 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.93/3.08 | V_a = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_c,T_a)
% 2.93/3.08 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.93/3.08
% 2.93/3.08 cnf(cls_divide__eq__eq_3,axiom,
% 2.93/3.08 ( ~ class_Ring__and__Field_Ofield(T_a)
% 2.93/3.08 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.93/3.08 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_c,T_a) = V_a
% 2.93/3.08 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.93/3.08
% 2.93/3.08 cnf(cls_min__max_Oinf__idem_0,axiom,
% 2.93/3.08 ( ~ class_Orderings_Olinorder(T_a)
% 2.93/3.08 | c_Orderings_Oord__class_Omin(V_x,V_x,T_a) = V_x ) ).
% 2.93/3.08
% 2.93/3.08 cnf(cls_distrib__sup__le_0,axiom,
% 2.93/3.08 ( ~ class_Lattices_Olattice(T_a)
% 2.93/3.08 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a),c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),c_Lattices_Oupper__semilattice__class_Osup(V_x,V_z,T_a),T_a),T_a) ) ).
% 2.93/3.08
% 2.93/3.08 cnf(cls_abs__le__zero__iff_0,axiom,
% 2.93/3.08 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 2.93/3.08 | V_a = c_HOL_Ozero__class_Ozero(T_a)
% 2.93/3.08 | ~ c_lessequals(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.93/3.08
% 2.93/3.08 cnf(cls_abs__lattice_0,axiom,
% 2.93/3.08 ( ~ class_OrderedGroup_Olordered__ab__group__add__abs(T_a)
% 2.93/3.08 | c_HOL_Oabs__class_Oabs(V_a,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 2.93/3.08
% 2.93/3.08 cnf(cls_class__semiring_Osemiring__rules_I15_J_0,axiom,
% 2.93/3.08 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.93/3.08 | 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) ) ).
% 2.93/3.08
% 2.93/3.08 cnf(cls_class__semiring_Osemiring__rules_I14_J_0,axiom,
% 2.93/3.08 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.93/3.08 | 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) ) ).
% 2.93/3.08
% 2.93/3.08 cnf(cls_class__semiring_Osemiring__rules_I13_J_0,axiom,
% 2.93/3.08 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.93/3.08 | 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) ) ).
% 2.93/3.08
% 2.93/3.08 cnf(cls_neg__equal__0__iff__equal_0,axiom,
% 2.93/3.08 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 2.93/3.08 | c_HOL_Ouminus__class_Ouminus(V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 2.93/3.08 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.93/3.08
% 2.93/3.08 cnf(cls_sup__0__imp__0_0,axiom,
% 2.93/3.08 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 2.93/3.08 | c_Lattices_Oupper__semilattice__class_Osup(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 2.93/3.08 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.93/3.08
% 2.93/3.08 cnf(cls_sum__squares__le__zero__iff_2,axiom,
% 2.93/3.08 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.93/3.08 | 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) ) ).
% 2.93/3.08
% 2.93/3.08 cnf(cls_add__nonpos__neg_0,axiom,
% 2.93/3.08 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 2.93/3.08 | 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)
% 2.93/3.08 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.93/3.08 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.93/3.08
% 2.93/3.08 cnf(cls_add__neg__nonpos_0,axiom,
% 2.93/3.08 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 2.93/3.08 | 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)
% 2.93/3.08 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.93/3.08 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.93/3.08
% 2.93/3.08 cnf(cls_neg__less__iff__less_1,axiom,
% 2.93/3.08 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.93/3.08 | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
% 2.93/3.08 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 2.93/3.08
% 2.93/3.08 cnf(cls_neg__less__iff__less_0,axiom,
% 2.93/3.08 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.93/3.08 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 2.93/3.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 2.93/3.08
% 2.93/3.08 cnf(cls_abs__div__pos_0,axiom,
% 2.93/3.08 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.93/3.08 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.93/3.08 | c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(V_x,T_a),V_y,T_a) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),T_a)
% 2.93/3.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) ) ).
% 2.93/3.08
% 2.93/3.08 cnf(cls_le__divide__eq_8,axiom,
% 2.93/3.08 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.93/3.08 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.93/3.08 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 2.93/3.08 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.93/3.08 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a)
% 2.93/3.08 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) ) ).
% 2.93/3.08
% 2.93/3.08 cnf(cls_divide__le__eq_8,axiom,
% 2.93/3.08 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.93/3.08 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.93/3.08 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a)
% 2.93/3.08 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.93/3.08 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a)
% 2.93/3.08 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) ) ).
% 2.93/3.08
% 2.93/3.08 cnf(cls_not__sum__squares__lt__zero_0,axiom,
% 2.93/3.08 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.93/3.08 | ~ 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) ) ).
% 2.93/3.08
% 2.93/3.08 cnf(cls_inf__left__commute_0,axiom,
% 2.93/3.08 ( ~ class_Lattices_Olower__semilattice(T_a)
% 2.93/3.08 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_y,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_z,T_a),T_a) ) ).
% 2.93/3.08
% 2.93/3.08 cnf(cls_inf__assoc_0,axiom,
% 2.93/3.08 ( ~ class_Lattices_Olower__semilattice(T_a)
% 2.93/3.08 | c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_z,T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) ) ).
% 2.93/3.08
% 2.93/3.08 cnf(cls_inf__sup__aci_I3_J_0,axiom,
% 2.93/3.08 ( ~ class_Lattices_Olattice(T_a)
% 2.93/3.08 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_y,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_z,T_a),T_a) ) ).
% 2.93/3.08
% 2.93/3.08 cnf(cls_inf__sup__aci_I2_J_0,axiom,
% 2.93/3.08 ( ~ class_Lattices_Olattice(T_a)
% 2.93/3.08 | c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_z,T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) ) ).
% 2.93/3.08
% 2.93/3.08 cnf(cls_abs__less__iff_1,axiom,
% 2.93/3.08 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 2.93/3.08 | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a)
% 2.93/3.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a) ) ).
% 2.93/3.08
% 2.93/3.08 cnf(cls_zero__less__mult__pos2_0,axiom,
% 2.93/3.08 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 2.93/3.08 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 2.93/3.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 2.93/3.08 | ~ 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) ) ).
% 2.93/3.08
% 2.93/3.08 cnf(cls_zero__less__mult__pos_0,axiom,
% 2.93/3.08 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 2.93/3.08 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 2.93/3.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 2.93/3.08 | ~ 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) ) ).
% 2.93/3.08
% 2.93/3.08 cnf(cls_mult__pos__pos_0,axiom,
% 2.93/3.08 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 2.93/3.08 | 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)
% 2.93/3.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 2.93/3.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.93/3.08
% 2.93/3.08 cnf(cls_mult__neg__neg_0,axiom,
% 2.93/3.08 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.93/3.08 | 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)
% 2.93/3.08 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.93/3.08 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.93/3.08
% 2.93/3.08 cnf(cls_double__add__less__zero__iff__single__less__zero_1,axiom,
% 2.93/3.08 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 2.93/3.08 | 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)
% 2.93/3.08 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.93/3.08
% 2.93/3.08 cnf(cls_double__add__less__zero__iff__single__less__zero_0,axiom,
% 2.93/3.08 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 2.93/3.08 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.93/3.08 | ~ 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) ) ).
% 2.93/3.08
% 2.93/3.08 cnf(cls_even__less__0__iff_0,axiom,
% 2.93/3.08 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 2.93/3.08 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.93/3.08 | ~ 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) ) ).
% 2.93/3.08
% 2.93/3.08 cnf(cls_even__less__0__iff_1,axiom,
% 2.93/3.08 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 2.93/3.08 | 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)
% 2.93/3.08 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.93/3.08
% 2.93/3.08 cnf(cls_mult__eq__0__iff_0,axiom,
% 2.93/3.08 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(T_a)
% 2.93/3.08 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 2.93/3.08 | V_b = c_HOL_Ozero__class_Ozero(T_a)
% 2.93/3.08 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.93/3.08
% 2.93/3.08 cnf(cls_no__zero__divisors_0,axiom,
% 2.93/3.08 ( ~ class_Ring__and__Field_Ono__zero__divisors(T_a)
% 2.93/3.08 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 2.93/3.08 | V_b = c_HOL_Ozero__class_Ozero(T_a)
% 2.93/3.08 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.93/3.08
% 2.93/3.08 cnf(cls_no__zero__divirors__neq0_0,axiom,
% 2.93/3.08 ( ~ class_Ring__and__Field_Ono__zero__divisors(T_a)
% 2.93/3.08 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 2.93/3.08 | V_a = c_HOL_Ozero__class_Ozero(T_a)
% 2.93/3.08 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.93/3.08
% 2.93/3.08 cnf(cls_diff__divide__distrib_0,axiom,
% 2.93/3.08 ( ~ class_Ring__and__Field_Ofield(T_a)
% 2.93/3.08 | c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_c,T_a) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(V_a,V_c,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ).
% 2.93/3.08
% 2.93/3.08 cnf(cls_divide_Odiff_0,axiom,
% 2.93/3.08 ( ~ class_RealVector_Oreal__normed__field(T_a)
% 2.93/3.08 | c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(V_x,V_y,T_a),V_ya,T_a) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(V_x,V_ya,T_a),c_HOL_Oinverse__class_Odivide(V_y,V_ya,T_a),T_a) ) ).
% 2.93/3.08
% 2.93/3.08 cnf(cls_add__nonneg__eq__0__iff_1,axiom,
% 2.93/3.08 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 2.93/3.08 | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 2.93/3.08 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)
% 2.93/3.08 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a)
% 2.93/3.08 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.93/3.08
% 2.93/3.08 cnf(cls_add__nonneg__eq__0__iff_0,axiom,
% 2.93/3.08 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 2.93/3.08 | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 2.93/3.08 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)
% 2.93/3.08 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a)
% 2.93/3.08 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.93/3.08
% 2.93/3.08 cnf(cls_dvd__diff_0,axiom,
% 2.93/3.08 ( ~ class_Ring__and__Field_Ocomm__ring__1(T_a)
% 2.93/3.08 | c_Ring__and__Field_Odvd__class_Odvd(V_x,c_HOL_Ominus__class_Ominus(V_y,V_z,T_a),T_a)
% 2.93/3.08 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,V_z,T_a)
% 2.93/3.08 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,T_a) ) ).
% 2.93/3.08
% 2.93/3.08 cnf(cls_eq__iff__diff__eq__0_0,axiom,
% 2.93/3.08 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 2.93/3.08 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.93/3.08
% 2.93/3.08 cnf(cls_right__minus__eq_1,axiom,
% 2.93/3.08 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 2.93/3.08 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.93/3.08
% 2.93/3.08 cnf(cls_diff__0__right_0,axiom,
% 2.93/3.08 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 2.93/3.08 | c_HOL_Ominus__class_Ominus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ).
% 2.93/3.08
% 2.93/3.08 cnf(cls_diff__self_0,axiom,
% 2.93/3.08 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 2.93/3.08 | c_HOL_Ominus__class_Ominus(V_a,V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.93/3.08
% 2.93/3.08 cnf(cls_class__ringb_Osubr0__iff_1,axiom,
% 2.93/3.08 ( ~ class_Ring__and__Field_Oidom(T_a)
% 2.93/3.08 | ~ class_Int_Onumber__ring(T_a)
% 2.93/3.08 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.93/3.08
% 2.93/3.08 cnf(cls_abs__of__neg_0,axiom,
% 2.93/3.08 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 2.93/3.08 | c_HOL_Oabs__class_Oabs(V_a,T_a) = c_HOL_Ouminus__class_Ouminus(V_a,T_a)
% 2.93/3.08 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.93/3.08
% 2.93/3.08 cnf(cls_abs__if_0,axiom,
% 2.93/3.08 ( ~ class_Ring__and__Field_Oabs__if(T_a)
% 2.93/3.08 | c_HOL_Oabs__class_Oabs(V_a,T_a) = c_HOL_Ouminus__class_Ouminus(V_a,T_a)
% 2.93/3.08 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.93/3.08
% 2.93/3.08 cnf(cls_abs__if__lattice_0,axiom,
% 2.93/3.08 ( ~ class_Orderings_Olinorder(T_a)
% 2.93/3.08 | ~ class_OrderedGroup_Olordered__ab__group__add__abs(T_a)
% 2.93/3.08 | c_HOL_Oabs__class_Oabs(V_a,T_a) = c_HOL_Ouminus__class_Ouminus(V_a,T_a)
% 2.93/3.08 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.93/3.08
% 2.93/3.08 cnf(cls_square__eq__iff_0,axiom,
% 2.93/3.08 ( ~ class_Ring__and__Field_Oidom(T_a)
% 2.93/3.08 | c_HOL_Otimes__class_Otimes(V_a,V_a,T_a) != c_HOL_Otimes__class_Otimes(V_b,V_b,T_a)
% 2.93/3.08 | V_a = c_HOL_Ouminus__class_Ouminus(V_b,T_a)
% 2.93/3.08 | V_a = V_b ) ).
% 2.93/3.08
% 2.93/3.08 cnf(cls_mult__less__imp__less__right_0,axiom,
% 2.93/3.08 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 2.93/3.08 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 2.93/3.08 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 2.93/3.08 | ~ 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) ) ).
% 2.93/3.08
% 2.93/3.08 cnf(cls_mult__less__imp__less__left_0,axiom,
% 2.93/3.08 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 2.93/3.08 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 2.93/3.08 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 2.93/3.08 | ~ 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) ) ).
% 2.93/3.08
% 2.93/3.08 cnf(cls_mult__right__less__imp__less_0,axiom,
% 2.93/3.08 ( ~ class_Ring__and__Field_Oordered__semiring(T_a)
% 2.93/3.08 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 2.93/3.08 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 2.93/3.08 | ~ 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) ) ).
% 2.93/3.08
% 2.93/3.08 cnf(cls_mult__left__less__imp__less_0,axiom,
% 2.93/3.08 ( ~ class_Ring__and__Field_Oordered__semiring(T_a)
% 2.93/3.08 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 2.93/3.08 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 2.93/3.08 | ~ 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) ) ).
% 2.93/3.08
% 2.93/3.08 cnf(cls_mult__imp__le__div__pos_0,axiom,
% 2.93/3.08 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.93/3.08 | c_lessequals(V_z,c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),T_a)
% 2.93/3.08 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_z,V_y,T_a),V_x,T_a)
% 2.93/3.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) ) ).
% 2.93/3.08
% 2.93/3.08 cnf(cls_mult__imp__div__pos__le_0,axiom,
% 2.93/3.08 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.93/3.08 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),V_z,T_a)
% 2.93/3.08 | ~ c_lessequals(V_x,c_HOL_Otimes__class_Otimes(V_z,V_y,T_a),T_a)
% 2.93/3.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) ) ).
% 2.93/3.08
% 2.93/3.08 cnf(cls_le__divide__eq_6,axiom,
% 2.93/3.08 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.93/3.08 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.93/3.08 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 2.93/3.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 2.93/3.08 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) ) ).
% 2.93/3.08
% 2.93/3.08 cnf(cls_minus__divide__right_0,axiom,
% 2.93/3.08 ( ~ class_Ring__and__Field_Ofield(T_a)
% 2.93/3.08 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.93/3.08 | c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) = c_HOL_Oinverse__class_Odivide(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ).
% 2.93/3.08
% 2.93/3.08 cnf(cls_minus__divide__left_0,axiom,
% 2.93/3.08 ( ~ class_Ring__and__Field_Ofield(T_a)
% 2.93/3.08 | c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) ) ).
% 2.93/3.08
% 2.93/3.08 cnf(cls_zero__le__mult__iff_0,axiom,
% 2.93/3.08 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.93/3.08 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.93/3.08 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 2.93/3.08 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ).
% 2.93/3.08
% 2.93/3.08 cnf(cls_zero__le__mult__iff_1,axiom,
% 2.93/3.08 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.93/3.08 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.93/3.08 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 2.93/3.08 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ).
% 2.93/3.08
% 2.93/3.08 cnf(cls_zero__le__mult__iff_2,axiom,
% 2.93/3.08 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.93/3.08 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.93/3.08 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 2.93/3.08 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ).
% 2.93/3.08
% 2.93/3.08 cnf(cls_zero__le__mult__iff_3,axiom,
% 2.93/3.08 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.93/3.08 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.93/3.08 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 2.93/3.08 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ).
% 2.93/3.08
% 2.93/3.08 cnf(cls_min__max_Osup__left__idem_0,axiom,
% 2.93/3.08 ( ~ class_Orderings_Olinorder(T_a)
% 2.93/3.08 | c_Orderings_Oord__class_Omax(V_x,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) = c_Orderings_Oord__class_Omax(V_x,V_y,T_a) ) ).
% 2.93/3.08
% 2.93/3.08 cnf(cls_neg__equal__zero_0,axiom,
% 2.93/3.08 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a)
% 2.93/3.08 | c_HOL_Ouminus__class_Ouminus(V_a,T_a) != V_a
% 2.93/3.08 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.93/3.08
% 2.93/3.08 cnf(cls_sum__squares__gt__zero__iff_0,axiom,
% 2.93/3.08 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.93/3.08 | ~ 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) ) ).
% 2.93/3.08
% 2.93/3.08 cnf(cls_diff__frac__eq_0,axiom,
% 2.93/3.08 ( ~ class_Ring__and__Field_Ofield(T_a)
% 2.93/3.08 | c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),c_HOL_Oinverse__class_Odivide(V_w,V_z,T_a),T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(V_x,V_z,T_a),c_HOL_Otimes__class_Otimes(V_w,V_y,T_a),T_a),c_HOL_Otimes__class_Otimes(V_y,V_z,T_a),T_a)
% 2.93/3.08 | V_z = c_HOL_Ozero__class_Ozero(T_a)
% 2.93/3.08 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.93/3.08
% 2.93/3.08 cnf(cls_mult_Ominus__left_0,axiom,
% 2.93/3.08 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 2.93/3.08 | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ).
% 2.93/3.08
% 2.93/3.08 cnf(cls_mult__left_Ominus_0,axiom,
% 2.93/3.08 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 2.93/3.08 | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(V_x,T_a),V_y,T_a) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),T_a) ) ).
% 2.93/3.08
% 2.93/3.08 cnf(cls_mult_Ominus__right_0,axiom,
% 2.93/3.08 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 2.93/3.08 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ).
% 2.93/3.08
% 2.93/3.08 cnf(cls_mult__right_Ominus_0,axiom,
% 2.93/3.08 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 2.93/3.08 | c_HOL_Otimes__class_Otimes(V_xa,c_HOL_Ouminus__class_Ouminus(V_x,T_a),T_a) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(V_xa,V_x,T_a),T_a) ) ).
% 2.93/3.08
% 2.93/3.08 cnf(cls_square__eq__iff_1,axiom,
% 2.93/3.08 ( ~ class_Ring__and__Field_Oidom(T_a)
% 2.93/3.08 | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) = c_HOL_Otimes__class_Otimes(V_b,V_b,T_a) ) ).
% 2.93/3.08
% 2.93/3.08 cnf(cls_minus__mult__minus_0,axiom,
% 2.93/3.08 ( ~ class_Ring__and__Field_Oring(T_a)
% 2.93/3.08 | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) = c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) ) ).
% 2.93/3.08
% 2.93/3.08 cnf(cls_mult__mono_0,axiom,
% 2.93/3.08 ( ~ class_Ring__and__Field_Opordered__semiring(T_a)
% 2.93/3.08 | 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)
% 2.93/3.08 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 2.93/3.08 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 2.93/3.08 | ~ c_lessequals(V_c,V_d,T_a)
% 2.93/3.08 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 2.93/3.08
% 2.93/3.08 cnf(cls_mult__mono_H_0,axiom,
% 2.93/3.08 ( ~ class_Ring__and__Field_Opordered__semiring(T_a)
% 2.93/3.08 | 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)
% 2.93/3.08 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 2.93/3.08 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 2.93/3.08 | ~ c_lessequals(V_c,V_d,T_a)
% 2.93/3.08 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 2.93/3.08
% 2.93/3.08 cnf(cls_divide__less__eq_2,axiom,
% 2.93/3.08 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.93/3.08 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.93/3.08 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 2.93/3.08 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.93/3.08 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 2.93/3.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) ) ).
% 2.93/3.08
% 2.93/3.08 cnf(cls_divide__less__eq_3,axiom,
% 2.93/3.08 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.93/3.08 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.93/3.08 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a)
% 2.93/3.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 2.93/3.08 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.93/3.08 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 2.93/3.08
% 2.93/3.08 cnf(cls_divide__less__eq_8,axiom,
% 2.93/3.08 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.93/3.08 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.93/3.08 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a)
% 2.93/3.08 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.93/3.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a)
% 2.93/3.08 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) ) ).
% 2.93/3.08
% 2.93/3.08 cnf(cls_divide__less__eq_9,axiom,
% 2.93/3.08 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.93/3.08 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.93/3.08 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a)
% 2.93/3.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 2.93/3.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a)
% 2.93/3.08 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) ) ).
% 2.93/3.08
% 2.93/3.08 cnf(cls_less__divide__eq_2,axiom,
% 2.93/3.08 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.93/3.08 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.93/3.08 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.93/3.08 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.93/3.08 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 2.93/3.08 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ).
% 2.93/3.08
% 2.93/3.08 cnf(cls_less__divide__eq_3,axiom,
% 2.93/3.08 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.93/3.08 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.93/3.08 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 2.93/3.08 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.93/3.08 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.93/3.08 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 2.93/3.08
% 2.93/3.08 cnf(cls_less__divide__eq_8,axiom,
% 2.93/3.08 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.93/3.08 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.93/3.08 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 2.93/3.08 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.93/3.08 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a)
% 2.93/3.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) ) ).
% 2.93/3.08
% 2.93/3.08 cnf(cls_less__divide__eq_9,axiom,
% 2.93/3.08 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.93/3.08 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.93/3.08 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 2.93/3.08 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.93/3.08 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a)
% 2.93/3.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) ) ).
% 2.93/3.08
% 2.93/3.08 cnf(cls_mult__less__cancel__left__disj_0,axiom,
% 2.93/3.08 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.93/3.08 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.93/3.08 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 2.93/3.08 | ~ 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) ) ).
% 2.93/3.08
% 2.93/3.08 cnf(cls_mult__less__cancel__left__disj_3,axiom,
% 2.93/3.08 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.93/3.08 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 2.93/3.08 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 2.93/3.08 | ~ 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) ) ).
% 2.93/3.08
% 2.93/3.08 cnf(cls_mult__less__cancel__right__disj_0,axiom,
% 2.93/3.08 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.93/3.08 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.93/3.08 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 2.93/3.08 | ~ 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) ) ).
% 2.93/3.08
% 2.93/3.08 cnf(cls_mult__less__cancel__right__disj_3,axiom,
% 2.93/3.08 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.93/3.08 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 2.93/3.08 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 2.93/3.08 | ~ 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) ) ).
% 2.93/3.08
% 2.93/3.08 cnf(cls_mod__minus__eq_0,axiom,
% 2.93/3.08 ( ~ class_Divides_Oring__div(T_a)
% 2.93/3.08 | c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(c_Divides_Odiv__class_Omod(V_a,V_b,T_a),T_a),V_b,T_a) ) ).
% 2.93/3.08
% 2.93/3.08 cnf(cls_min__max_Osup__inf__absorb_0,axiom,
% 2.93/3.08 ( ~ class_Orderings_Olinorder(T_a)
% 2.93/3.08 | c_Orderings_Oord__class_Omax(V_x,c_Orderings_Oord__class_Omin(V_x,V_y,T_a),T_a) = V_x ) ).
% 2.93/3.08
% 2.93/3.08 cnf(cls_compl__sup_0,axiom,
% 2.93/3.08 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 2.93/3.08 | c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(V_x,T_a),c_HOL_Ouminus__class_Ouminus(V_y,T_a),T_a) ) ).
% 2.93/3.08
% 2.93/3.08 cnf(cls_neg__sup__eq__inf_0,axiom,
% 2.93/3.08 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 2.93/3.08 | c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ).
% 2.93/3.08
% 2.93/3.08 cnf(cls_divide__neg__neg_0,axiom,
% 2.93/3.08 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.93/3.08 | 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)
% 2.93/3.08 | ~ c_HOL_Oord__class_Oless(V_y,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.93/3.08 | ~ c_HOL_Oord__class_Oless(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.93/3.08
% 2.93/3.08 cnf(cls_divide__pos__pos_0,axiom,
% 2.93/3.08 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.93/3.08 | 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)
% 2.93/3.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)
% 2.93/3.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ).
% 2.93/3.08
% 2.93/3.08 cnf(cls_zero__less__divide__iff_4,axiom,
% 2.93/3.08 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.93/3.08 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.93/3.08 | 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)
% 2.93/3.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 2.93/3.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.93/3.08
% 2.93/3.08 cnf(cls_zero__less__divide__iff_5,axiom,
% 2.93/3.08 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.93/3.08 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.93/3.08 | 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)
% 2.93/3.08 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.93/3.08 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.93/3.08
% 2.93/3.08 cnf(cls_min__max_Odistrib__inf__le_0,axiom,
% 2.93/3.08 ( ~ class_Orderings_Olinorder(T_a)
% 2.93/3.08 | c_lessequals(c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),c_Orderings_Oord__class_Omin(V_x,V_z,T_a),T_a),c_Orderings_Oord__class_Omin(V_x,c_Orderings_Oord__class_Omax(V_y,V_z,T_a),T_a),T_a) ) ).
% 2.93/3.08
% 2.93/3.08 cnf(cls_min__max_Osup__commute_0,axiom,
% 2.93/3.08 ( ~ class_Orderings_Olinorder(T_a)
% 2.93/3.08 | c_Orderings_Oord__class_Omax(V_x,V_y,T_a) = c_Orderings_Oord__class_Omax(V_y,V_x,T_a) ) ).
% 2.93/3.08
% 2.93/3.08 cnf(cls_group__add__class_Odiff__0_0,axiom,
% 2.93/3.08 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 2.93/3.08 | c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ouminus__class_Ouminus(V_a,T_a) ) ).
% 2.93/3.08
% 2.93/3.08 cnf(cls_add__frac__num_0,axiom,
% 2.93/3.08 ( ~ class_Ring__and__Field_Ofield(T_a)
% 2.93/3.08 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.93/3.08 | 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)
% 2.93/3.08 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.93/3.08
% 2.93/3.08 cnf(cls_add__num__frac_0,axiom,
% 2.93/3.08 ( ~ class_Ring__and__Field_Ofield(T_a)
% 2.93/3.08 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.93/3.08 | 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)
% 2.93/3.08 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.93/3.08
% 2.93/3.08 cnf(cls_diff__def_0,axiom,
% 2.93/3.08 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 2.93/3.08 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) = c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ouminus__class_Ouminus(V_y,T_a),T_a) ) ).
% 2.93/3.08
% 2.93/3.08 cnf(cls_class__ring_Osub__add_0,axiom,
% 2.93/3.08 ( ~ class_Int_Onumber__ring(T_a)
% 2.93/3.08 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) = c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ouminus__class_Ouminus(V_y,T_a),T_a) ) ).
% 2.93/3.08
% 2.93/3.08 cnf(cls_diff__minus_0,axiom,
% 2.93/3.08 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 2.93/3.09 | c_HOL_Ominus__class_Ominus(V_a,V_b,T_a) = c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ).
% 2.93/3.09
% 2.93/3.09 cnf(cls_ab__diff__minus_0,axiom,
% 2.93/3.09 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 2.93/3.09 | c_HOL_Ominus__class_Ominus(V_a,V_b,T_a) = c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ).
% 2.93/3.09
% 2.93/3.09 cnf(cls_nonzero__minus__divide__divide_0,axiom,
% 2.93/3.09 ( ~ class_Ring__and__Field_Ofield(T_a)
% 2.93/3.09 | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) = c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a)
% 2.93/3.09 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.93/3.09
% 2.93/3.09 cnf(cls_dvd__minus__iff_0,axiom,
% 2.93/3.09 ( ~ class_Ring__and__Field_Ocomm__ring__1(T_a)
% 2.93/3.09 | c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,T_a)
% 2.93/3.09 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,c_HOL_Ouminus__class_Ouminus(V_y,T_a),T_a) ) ).
% 2.93/3.09
% 2.93/3.09 cnf(cls_dvd__minus__iff_1,axiom,
% 2.93/3.09 ( ~ class_Ring__and__Field_Ocomm__ring__1(T_a)
% 2.93/3.09 | c_Ring__and__Field_Odvd__class_Odvd(V_x,c_HOL_Ouminus__class_Ouminus(V_y,T_a),T_a)
% 2.93/3.09 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,T_a) ) ).
% 2.93/3.09
% 2.93/3.09 cnf(cls_minus__dvd__iff_0,axiom,
% 2.93/3.09 ( ~ class_Ring__and__Field_Ocomm__ring__1(T_a)
% 2.93/3.09 | c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,T_a)
% 2.93/3.09 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(V_x,T_a),V_y,T_a) ) ).
% 2.93/3.09
% 2.93/3.09 cnf(cls_minus__dvd__iff_1,axiom,
% 2.93/3.09 ( ~ class_Ring__and__Field_Ocomm__ring__1(T_a)
% 2.93/3.09 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(V_x,T_a),V_y,T_a)
% 2.93/3.09 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,T_a) ) ).
% 2.93/3.09
% 2.93/3.09 cnf(cls_le__infE_0,axiom,
% 2.93/3.09 ( ~ class_Lattices_Olower__semilattice(T_a)
% 2.93/3.09 | c_lessequals(V_x,V_a,T_a)
% 2.93/3.09 | ~ c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),T_a) ) ).
% 2.93/3.09
% 2.93/3.09 cnf(cls_le__infE_1,axiom,
% 2.93/3.09 ( ~ class_Lattices_Olower__semilattice(T_a)
% 2.93/3.09 | c_lessequals(V_x,V_b,T_a)
% 2.93/3.09 | ~ c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),T_a) ) ).
% 2.93/3.09
% 2.93/3.09 cnf(cls_le__infI1_0,axiom,
% 2.93/3.09 ( ~ class_Lattices_Olower__semilattice(T_a)
% 2.93/3.09 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),V_x,T_a)
% 2.93/3.09 | ~ c_lessequals(V_a,V_x,T_a) ) ).
% 2.93/3.09
% 2.93/3.09 cnf(cls_le__infI2_0,axiom,
% 2.93/3.09 ( ~ class_Lattices_Olower__semilattice(T_a)
% 2.93/3.09 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),V_x,T_a)
% 2.93/3.09 | ~ c_lessequals(V_b,V_x,T_a) ) ).
% 2.93/3.09
% 2.93/3.09 cnf(cls_le__inf__iff_0,axiom,
% 2.93/3.09 ( ~ class_Lattices_Olower__semilattice(T_a)
% 2.93/3.09 | c_lessequals(V_x,V_y,T_a)
% 2.93/3.09 | ~ c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) ) ).
% 2.93/3.09
% 2.93/3.09 cnf(cls_le__inf__iff_1,axiom,
% 2.93/3.09 ( ~ class_Lattices_Olower__semilattice(T_a)
% 2.93/3.09 | c_lessequals(V_x,V_z,T_a)
% 2.93/3.09 | ~ c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) ) ).
% 2.93/3.09
% 2.93/3.09 cnf(cls_divide__strict__right__mono_0,axiom,
% 2.93/3.09 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.93/3.09 | 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)
% 2.93/3.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 2.93/3.09 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 2.93/3.09
% 2.93/3.09 cnf(cls_divide__strict__right__mono__neg_0,axiom,
% 2.93/3.09 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.93/3.09 | 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)
% 2.93/3.09 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.93/3.09 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ).
% 2.93/3.09
% 2.93/3.09 cnf(cls_mod__diff__eq_0,axiom,
% 2.93/3.09 ( ~ class_Divides_Oring__div(T_a)
% 2.93/3.09 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(V_a,V_c,T_a),c_Divides_Odiv__class_Omod(V_b,V_c,T_a),T_a),V_c,T_a) ) ).
% 2.93/3.09
% 2.93/3.09 cnf(cls_divide__nonneg__pos_0,axiom,
% 2.93/3.09 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.93/3.09 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),T_a)
% 2.93/3.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)
% 2.93/3.09 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ).
% 2.93/3.09
% 2.93/3.09 cnf(cls_divide__nonpos__neg_0,axiom,
% 2.93/3.09 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.93/3.09 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),T_a)
% 2.93/3.09 | ~ c_HOL_Oord__class_Oless(V_y,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.93/3.09 | ~ c_lessequals(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.93/3.09
% 2.93/3.09 cnf(cls_divide__self__if_0,axiom,
% 2.93/3.09 ( ~ class_Ring__and__Field_Ofield(T_a)
% 2.93/3.09 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.93/3.09 | 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) ) ).
% 2.93/3.09
% 2.93/3.09 cnf(cls_abs__leI_0,axiom,
% 2.93/3.09 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 2.93/3.09 | c_lessequals(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a)
% 2.93/3.09 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a)
% 2.93/3.09 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 2.93/3.09
% 2.93/3.09 cnf(cls_abs__le__iff_2,axiom,
% 2.93/3.09 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 2.93/3.09 | c_lessequals(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a)
% 2.93/3.09 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a)
% 2.93/3.09 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 2.93/3.09
% 2.93/3.09 cnf(cls_abs__minus__cancel_0,axiom,
% 2.93/3.09 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 2.93/3.09 | c_HOL_Oabs__class_Oabs(c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) = c_HOL_Oabs__class_Oabs(V_a,T_a) ) ).
% 2.93/3.09
% 2.93/3.09 cnf(cls_not__square__less__zero_0,axiom,
% 2.93/3.09 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.93/3.09 | ~ 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) ) ).
% 2.93/3.09
% 2.93/3.09 cnf(cls_mult__le__0__iff_4,axiom,
% 2.93/3.09 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.93/3.09 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.93/3.09 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.93/3.09 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.93/3.09
% 2.93/3.09 cnf(cls_mult__le__0__iff_5,axiom,
% 2.93/3.09 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.93/3.09 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.93/3.09 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 2.93/3.09 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.93/3.09
% 2.93/3.09 cnf(cls_split__mult__neg__le_0,axiom,
% 2.93/3.09 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 2.93/3.09 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.93/3.09 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.93/3.09 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.93/3.09
% 2.93/3.09 cnf(cls_split__mult__neg__le_1,axiom,
% 2.93/3.09 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 2.93/3.09 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.93/3.09 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 2.93/3.09 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.93/3.09
% 2.93/3.09 cnf(cls_mult__nonneg__nonpos_0,axiom,
% 2.93/3.09 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 2.93/3.09 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.93/3.09 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.93/3.09 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.93/3.09
% 2.93/3.09 cnf(cls_mult__nonpos__nonneg_0,axiom,
% 2.93/3.09 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 2.93/3.09 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.93/3.09 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 2.93/3.09 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.93/3.09
% 2.93/3.09 cnf(cls_mult__nonneg__nonpos2_0,axiom,
% 2.93/3.09 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 2.93/3.09 | c_lessequals(c_HOL_Otimes__class_Otimes(V_b,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.93/3.09 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.93/3.09 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.93/3.09
% 2.93/3.09 cnf(cls_abs__le__zero__iff_1,axiom,
% 2.93/3.09 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 2.93/3.09 | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(T_a),T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.93/3.09
% 2.93/3.09 cnf(cls_add__nonneg__pos_0,axiom,
% 2.93/3.09 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 2.93/3.09 | 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)
% 2.93/3.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 2.93/3.09 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.93/3.09
% 2.93/3.09 cnf(cls_add__pos__nonneg_0,axiom,
% 2.93/3.09 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 2.93/3.09 | 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)
% 2.93/3.09 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 2.93/3.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.93/3.09
% 2.93/3.09 cnf(cls_dvd__imp__mod__0_0,axiom,
% 2.93/3.09 ( ~ class_Divides_Osemiring__div(T_a)
% 2.93/3.09 | c_Divides_Odiv__class_Omod(V_b,V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a)
% 2.93/3.09 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ).
% 2.93/3.09
% 2.93/3.09 cnf(cls_dvd__eq__mod__eq__0_1,axiom,
% 2.93/3.09 ( ~ class_Divides_Osemiring__div(T_a)
% 2.93/3.09 | c_Divides_Odiv__class_Omod(V_b,V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 2.93/3.09 | c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ).
% 2.93/3.09
% 2.93/3.09 cnf(cls_dvd__0__left_0,axiom,
% 2.93/3.09 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.93/3.09 | V_a = c_HOL_Ozero__class_Ozero(T_a)
% 2.93/3.09 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.93/3.09
% 2.93/3.09 cnf(cls_distrib__inf__le_0,axiom,
% 2.93/3.09 ( ~ class_Lattices_Olattice(T_a)
% 2.93/3.09 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),c_Lattices_Olower__semilattice__class_Oinf(V_x,V_z,T_a),T_a),c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a),T_a) ) ).
% 2.93/3.09
% 2.93/3.09 cnf(cls_inf__sup__ord_I3_J_0,axiom,
% 2.93/3.09 ( ~ class_Lattices_Olattice(T_a)
% 2.93/3.09 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ).
% 2.93/3.09
% 2.93/3.09 cnf(cls_inf__sup__ord_I4_J_0,axiom,
% 2.93/3.09 ( ~ class_Lattices_Olattice(T_a)
% 2.93/3.09 | c_lessequals(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ).
% 2.93/3.09
% 2.93/3.09 cnf(cls_le__supI_0,axiom,
% 2.93/3.09 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 2.93/3.09 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a)
% 2.93/3.09 | ~ c_lessequals(V_b,V_x,T_a)
% 2.93/3.09 | ~ c_lessequals(V_a,V_x,T_a) ) ).
% 2.93/3.09
% 2.93/3.09 cnf(cls_sup__ge1_0,axiom,
% 2.93/3.09 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 2.93/3.09 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ).
% 2.93/3.09
% 2.93/3.09 cnf(cls_sup__ge2_0,axiom,
% 2.93/3.09 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 2.93/3.09 | c_lessequals(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ).
% 2.93/3.09
% 2.93/3.09 cnf(cls_sup__least_0,axiom,
% 2.93/3.09 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 2.93/3.09 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),V_x,T_a)
% 2.93/3.09 | ~ c_lessequals(V_z,V_x,T_a)
% 2.93/3.09 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 2.93/3.09
% 2.93/3.09 cnf(cls_le__sup__iff_2,axiom,
% 2.93/3.09 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 2.93/3.09 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a)
% 2.93/3.09 | ~ c_lessequals(V_y,V_z,T_a)
% 2.93/3.09 | ~ c_lessequals(V_x,V_z,T_a) ) ).
% 2.93/3.09
% 2.93/3.09 cnf(cls_divide__le__eq_5,axiom,
% 2.93/3.09 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.93/3.09 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.93/3.09 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a)
% 2.93/3.09 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 2.93/3.09 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a)
% 2.93/3.09 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 2.93/3.09
% 2.93/3.09 cnf(cls_divide__le__eq_7,axiom,
% 2.93/3.09 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.93/3.09 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.93/3.09 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a)
% 2.93/3.09 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 2.93/3.09 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.93/3.09 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) ) ).
% 2.93/3.09
% 2.93/3.09 cnf(cls_le__divide__eq_5,axiom,
% 2.93/3.09 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.93/3.09 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.93/3.09 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 2.93/3.09 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.93/3.09 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a)
% 2.93/3.09 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 2.93/3.09
% 2.93/3.09 cnf(cls_le__divide__eq_7,axiom,
% 2.93/3.09 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.93/3.09 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.93/3.09 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 2.93/3.09 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.93/3.09 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.93/3.09 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) ) ).
% 2.93/3.09
% 2.93/3.09 cnf(cls_min__max_Oinf__assoc_0,axiom,
% 2.93/3.09 ( ~ class_Orderings_Olinorder(T_a)
% 2.93/3.09 | c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a) = c_Orderings_Oord__class_Omin(V_x,c_Orderings_Oord__class_Omin(V_y,V_z,T_a),T_a) ) ).
% 2.93/3.09
% 2.93/3.09 cnf(cls_min__max_Oinf__left__commute_0,axiom,
% 2.93/3.09 ( ~ class_Orderings_Olinorder(T_a)
% 2.93/3.09 | c_Orderings_Oord__class_Omin(V_x,c_Orderings_Oord__class_Omin(V_y,V_z,T_a),T_a) = c_Orderings_Oord__class_Omin(V_y,c_Orderings_Oord__class_Omin(V_x,V_z,T_a),T_a) ) ).
% 2.93/3.09
% 2.93/3.09 cnf(cls_neg__0__le__iff__le_0,axiom,
% 2.93/3.09 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.93/3.09 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.93/3.09 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 2.93/3.09
% 2.93/3.09 cnf(cls_neg__0__le__iff__le_1,axiom,
% 2.93/3.09 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.93/3.09 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
% 2.93/3.09 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.93/3.09
% 2.93/3.09 cnf(cls_mult_OscaleR__left_0,axiom,
% 2.93/3.09 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 2.93/3.09 | c_HOL_Otimes__class_Otimes(c_RealVector_OscaleR__class_OscaleR(V_r,V_a,T_a),V_b,T_a) = c_RealVector_OscaleR__class_OscaleR(V_r,c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ).
% 2.93/3.09
% 2.93/3.09 cnf(cls_mult__left_OscaleR_0,axiom,
% 2.93/3.09 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 2.93/3.09 | c_HOL_Otimes__class_Otimes(c_RealVector_OscaleR__class_OscaleR(V_r,V_x,T_a),V_y,T_a) = c_RealVector_OscaleR__class_OscaleR(V_r,c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),T_a) ) ).
% 2.93/3.09
% 2.93/3.09 cnf(cls_mult_OscaleR__right_0,axiom,
% 2.93/3.09 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 2.93/3.09 | c_HOL_Otimes__class_Otimes(V_a,c_RealVector_OscaleR__class_OscaleR(V_r,V_b,T_a),T_a) = c_RealVector_OscaleR__class_OscaleR(V_r,c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ).
% 2.93/3.09
% 2.93/3.09 cnf(cls_le__divide__eq_0,axiom,
% 2.93/3.09 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.93/3.09 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.93/3.09 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a)
% 2.93/3.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 2.93/3.09 | ~ c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ).
% 2.93/3.09
% 2.93/3.09 cnf(cls_divide__le__eq_6,axiom,
% 2.93/3.09 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.93/3.09 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.93/3.09 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a)
% 2.93/3.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 2.93/3.09 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) ) ).
% 2.93/3.09
% 2.93/3.09 cnf(cls_divide__le__eq_0,axiom,
% 2.93/3.09 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.93/3.09 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.93/3.09 | c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a)
% 2.93/3.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 2.93/3.09 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) ) ).
% 2.93/3.09
% 2.93/3.09 cnf(cls_minus__pCons_0,axiom,
% 2.93/3.09 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 2.93/3.09 | c_HOL_Ouminus__class_Ouminus(c_Polynomial_OpCons(V_a,V_p,T_a),tc_Polynomial_Opoly(T_a)) = c_Polynomial_OpCons(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ouminus__class_Ouminus(V_p,tc_Polynomial_Opoly(T_a)),T_a) ) ).
% 2.93/3.09
% 2.93/3.09 cnf(cls_sum__squares__ge__zero_0,axiom,
% 2.93/3.09 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 2.93/3.09 | 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) ) ).
% 2.93/3.09
% 2.93/3.09 cnf(cls_dvd__mod__imp__dvd_0,axiom,
% 2.93/3.09 ( ~ class_Divides_Osemiring__div(T_a)
% 2.93/3.09 | c_Ring__and__Field_Odvd__class_Odvd(V_k,V_m,T_a)
% 2.93/3.09 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,V_n,T_a)
% 2.93/3.09 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,c_Divides_Odiv__class_Omod(V_m,V_n,T_a),T_a) ) ).
% 2.93/3.09
% 2.93/3.09 cnf(cls_dvd__mod__iff_1,axiom,
% 2.93/3.09 ( ~ class_Divides_Osemiring__div(T_a)
% 2.93/3.09 | c_Ring__and__Field_Odvd__class_Odvd(V_k,c_Divides_Odiv__class_Omod(V_m,V_n,T_a),T_a)
% 2.93/3.09 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,V_m,T_a)
% 2.93/3.09 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,V_n,T_a) ) ).
% 2.93/3.09
% 2.93/3.09 cnf(cls_dvd__mod__iff_0,axiom,
% 2.93/3.09 ( ~ class_Divides_Osemiring__div(T_a)
% 2.93/3.09 | c_Ring__and__Field_Odvd__class_Odvd(V_k,V_m,T_a)
% 2.93/3.09 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,c_Divides_Odiv__class_Omod(V_m,V_n,T_a),T_a)
% 2.93/3.09 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,V_n,T_a) ) ).
% 2.93/3.09
% 2.93/3.09 cnf(cls_dvd__mod_0,axiom,
% 2.93/3.09 ( ~ class_Divides_Osemiring__div(T_a)
% 2.93/3.09 | c_Ring__and__Field_Odvd__class_Odvd(V_k,c_Divides_Odiv__class_Omod(V_m,V_n,T_a),T_a)
% 2.93/3.09 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,V_n,T_a)
% 2.93/3.09 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,V_m,T_a) ) ).
% 2.93/3.09
% 2.93/3.09 cnf(cls_le__add__iff2_1,axiom,
% 2.93/3.09 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 2.93/3.09 | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a),T_a)
% 2.93/3.09 | ~ c_lessequals(V_c,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_b,V_a,T_a),V_e,T_a),V_d,T_a),T_a) ) ).
% 2.93/3.09
% 2.93/3.09 cnf(cls_le__add__iff2_0,axiom,
% 2.93/3.09 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 2.93/3.09 | c_lessequals(V_c,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_b,V_a,T_a),V_e,T_a),V_d,T_a),T_a)
% 2.93/3.09 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a),T_a) ) ).
% 2.93/3.09
% 2.93/3.09 cnf(cls_le__add__iff1_1,axiom,
% 2.93/3.09 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 2.93/3.09 | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a),T_a)
% 2.93/3.09 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_e,T_a),V_c,T_a),V_d,T_a) ) ).
% 2.93/3.09
% 2.93/3.09 cnf(cls_le__add__iff1_0,axiom,
% 2.93/3.09 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 2.93/3.09 | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_e,T_a),V_c,T_a),V_d,T_a)
% 2.93/3.09 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a),T_a) ) ).
% 2.93/3.09
% 2.93/3.09 cnf(cls_divide__le__0__iff_5,axiom,
% 2.93/3.09 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.93/3.09 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.93/3.09 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.93/3.09 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 2.93/3.09 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.93/3.09
% 2.93/3.09 cnf(cls_divide__le__0__iff_4,axiom,
% 2.93/3.09 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.93/3.09 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.93/3.09 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.93/3.09 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.93/3.09 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.93/3.09
% 2.93/3.09 cnf(cls_add__eq__inf__sup_0,axiom,
% 2.93/3.09 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 2.93/3.09 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) = c_HOL_Oplus__class_Oplus(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),T_a) ) ).
% 2.93/3.09
% 2.93/3.09 cnf(cls_add__increasing2_0,axiom,
% 2.93/3.09 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 2.93/3.09 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 2.93/3.09 | c_lessequals(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a)
% 2.93/3.09 | ~ c_lessequals(V_b,V_a,T_a)
% 2.93/3.09 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 2.93/3.09
% 2.93/3.09 cnf(cls_add__increasing_0,axiom,
% 2.93/3.09 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 2.93/3.09 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 2.93/3.09 | c_lessequals(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a)
% 2.93/3.09 | ~ c_lessequals(V_b,V_c,T_a)
% 2.93/3.09 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.93/3.09
% 2.93/3.09 cnf(cls_scaleR__minus__right_0,axiom,
% 2.93/3.09 ( ~ class_RealVector_Oreal__vector(T_a)
% 2.93/3.09 | c_RealVector_OscaleR__class_OscaleR(V_a,c_HOL_Ouminus__class_Ouminus(V_x,T_a),T_a) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(V_a,V_x,T_a),T_a) ) ).
% 2.93/3.09
% 2.93/3.09 cnf(cls_scaleR_Ominus__right_0,axiom,
% 2.93/3.09 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 2.93/3.09 | c_RealVector_OscaleR__class_OscaleR(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(V_a,V_b,T_a),T_a) ) ).
% 2.93/3.09
% 2.93/3.09 cnf(cls_min__max_Oinf__sup__distrib2_0,axiom,
% 2.93/3.09 ( ~ class_Orderings_Olinorder(T_a)
% 2.93/3.09 | c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(V_y,V_z,T_a),V_x,T_a) = c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(V_y,V_x,T_a),c_Orderings_Oord__class_Omin(V_z,V_x,T_a),T_a) ) ).
% 2.93/3.09
% 2.93/3.09 cnf(cls_min__max_Oinf__sup__distrib1_0,axiom,
% 2.93/3.09 ( ~ class_Orderings_Olinorder(T_a)
% 2.93/3.09 | c_Orderings_Oord__class_Omin(V_x,c_Orderings_Oord__class_Omax(V_y,V_z,T_a),T_a) = c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),c_Orderings_Oord__class_Omin(V_x,V_z,T_a),T_a) ) ).
% 2.93/3.09
% 2.93/3.09 cnf(cls_abs__minus__le__zero_0,axiom,
% 2.93/3.09 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 2.93/3.09 | c_lessequals(c_HOL_Ouminus__class_Ouminus(c_HOL_Oabs__class_Oabs(V_a,T_a),T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.93/3.09
% 2.93/3.09 cnf(cls_min__max_Ole__sup__iff_2,axiom,
% 2.93/3.09 ( ~ class_Orderings_Olinorder(T_a)
% 2.93/3.09 | c_lessequals(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a)
% 2.93/3.09 | ~ c_lessequals(V_y,V_z,T_a)
% 2.93/3.09 | ~ c_lessequals(V_x,V_z,T_a) ) ).
% 2.93/3.09
% 2.93/3.09 cnf(cls_min__max_Osup__least_0,axiom,
% 2.93/3.09 ( ~ class_Orderings_Olinorder(T_a)
% 2.93/3.09 | c_lessequals(c_Orderings_Oord__class_Omax(V_y,V_z,T_a),V_x,T_a)
% 2.93/3.09 | ~ c_lessequals(V_z,V_x,T_a)
% 2.93/3.09 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 2.93/3.09
% 2.93/3.09 cnf(cls_min__max_Ole__supI_0,axiom,
% 2.93/3.09 ( ~ class_Orderings_Olinorder(T_a)
% 2.93/3.09 | c_lessequals(c_Orderings_Oord__class_Omax(V_a,V_b,T_a),V_x,T_a)
% 2.93/3.09 | ~ c_lessequals(V_b,V_x,T_a)
% 2.93/3.09 | ~ c_lessequals(V_a,V_x,T_a) ) ).
% 2.93/3.09
% 2.93/3.09 cnf(cls_le__maxI1_0,axiom,
% 2.93/3.09 ( ~ class_Orderings_Olinorder(T_a)
% 2.93/3.09 | c_lessequals(V_x,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) ) ).
% 2.93/3.09
% 2.93/3.09 cnf(cls_le__maxI2_0,axiom,
% 2.93/3.09 ( ~ class_Orderings_Olinorder(T_a)
% 2.93/3.09 | c_lessequals(V_y,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) ) ).
% 2.93/3.09
% 2.93/3.09 cnf(cls_eq__add__iff2_1,axiom,
% 2.93/3.09 ( ~ class_Ring__and__Field_Oring(T_a)
% 2.93/3.09 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_b,V_a,T_a),V_e,T_a),V_d,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a) ) ).
% 2.93/3.09
% 2.93/3.09 cnf(cls_neg__le__iff__le_0,axiom,
% 2.93/3.09 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.93/3.09 | c_lessequals(V_a,V_b,T_a)
% 2.93/3.09 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 2.93/3.09
% 2.93/3.09 cnf(cls_le__imp__neg__le_0,axiom,
% 2.93/3.09 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.93/3.09 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
% 2.93/3.09 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 2.93/3.09
% 2.93/3.09 cnf(cls_abs__le__mult_0,axiom,
% 2.93/3.09 ( ~ class_Ring__and__Field_Olordered__ring(T_a)
% 2.93/3.09 | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a),c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a),T_a) ) ).
% 2.93/3.09
% 2.93/3.09 cnf(cls_abs__le__D1_0,axiom,
% 2.93/3.09 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 2.93/3.09 | c_lessequals(V_a,V_b,T_a)
% 2.93/3.09 | ~ c_lessequals(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a) ) ).
% 2.93/3.09
% 2.93/3.09 cnf(cls_mult__strict__mono_0,axiom,
% 2.93/3.09 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 2.93/3.09 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_d,T_a),T_a)
% 2.93/3.09 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 2.93/3.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 2.93/3.09 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a)
% 2.93/3.09 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 2.93/3.09
% 2.93/3.09 cnf(cls_zmod__simps_I4_J_0,axiom,
% 2.93/3.09 ( ~ class_Divides_Osemiring__div(T_a)
% 2.93/3.09 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(V_a,V_c,T_a),V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_c,T_a) ) ).
% 2.93/3.09
% 2.93/3.09 cnf(cls_divide__left__mono__neg_0,axiom,
% 2.93/3.09 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.93/3.09 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 2.93/3.09 | 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)
% 2.93/3.09 | ~ 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)
% 2.93/3.09 | ~ c_lessequals(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.93/3.09 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 2.93/3.09
% 2.93/3.09 cnf(cls_divide__left__mono_0,axiom,
% 2.93/3.09 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.93/3.09 | 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)
% 2.93/3.09 | ~ 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)
% 2.93/3.09 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 2.93/3.09 | ~ c_lessequals(V_b,V_a,T_a) ) ).
% 2.93/3.09
% 2.93/3.09 cnf(cls_min__max_Oinf__greatest_0,axiom,
% 2.93/3.09 ( ~ class_Orderings_Olinorder(T_a)
% 2.93/3.09 | c_lessequals(V_x,c_Orderings_Oord__class_Omin(V_y,V_z,T_a),T_a)
% 2.93/3.09 | ~ c_lessequals(V_x,V_z,T_a)
% 2.93/3.09 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 2.93/3.09
% 2.93/3.09 cnf(cls_min__max_Ole__inf__iff_2,axiom,
% 2.93/3.09 ( ~ class_Orderings_Olinorder(T_a)
% 2.93/3.09 | c_lessequals(V_x,c_Orderings_Oord__class_Omin(V_y,V_z,T_a),T_a)
% 2.93/3.09 | ~ c_lessequals(V_x,V_z,T_a)
% 2.93/3.09 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 2.93/3.09
% 2.93/3.09 cnf(cls_min__max_Ole__infI_0,axiom,
% 2.93/3.09 ( ~ class_Orderings_Olinorder(T_a)
% 2.93/3.09 | c_lessequals(V_x,c_Orderings_Oord__class_Omin(V_a,V_b,T_a),T_a)
% 2.93/3.09 | ~ c_lessequals(V_x,V_b,T_a)
% 2.93/3.09 | ~ c_lessequals(V_x,V_a,T_a) ) ).
% 2.93/3.09
% 2.93/3.09 cnf(cls_min__max_Oinf__le2_0,axiom,
% 2.93/3.09 ( ~ class_Orderings_Olinorder(T_a)
% 2.93/3.09 | c_lessequals(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_y,T_a) ) ).
% 2.93/3.09
% 2.93/3.09 cnf(cls_min__max_Oinf__le1_0,axiom,
% 2.93/3.09 ( ~ class_Orderings_Olinorder(T_a)
% 2.93/3.09 | c_lessequals(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_x,T_a) ) ).
% 2.93/3.09
% 2.93/3.09 cnf(cls_max__less__iff__conj_2,axiom,
% 2.93/3.09 ( ~ class_Orderings_Olinorder(T_a)
% 2.93/3.09 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a)
% 2.93/3.09 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a)
% 2.93/3.09 | ~ c_HOL_Oord__class_Oless(V_x,V_z,T_a) ) ).
% 2.93/3.09
% 2.93/3.09 cnf(cls_dvd__triv__right_0,axiom,
% 2.93/3.09 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.93/3.09 | c_Ring__and__Field_Odvd__class_Odvd(V_a,c_HOL_Otimes__class_Otimes(V_b,V_a,T_a),T_a) ) ).
% 2.93/3.09
% 2.93/3.09 cnf(cls_dvd__triv__left_0,axiom,
% 2.93/3.09 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 2.93/3.09 | c_Ring__and__Field_Odvd__class_Odvd(V_a,c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ).
% 2.93/3.09
% 2.93/3.09 cnf(cls_dvdI_0,axiom,
% 2.93/3.09 ( ~ class_Ring__and__Field_Odvd(T_a)
% 2.93/3.09 | c_Ring__and__Field_Odvd__class_Odvd(V_b,c_HOL_Otimes__class_Otimes(V_b,V_k,T_a),T_a) ) ).
% 2.93/3.09
% 2.93/3.09 cnf(cls_frac__less2_0,axiom,
% 2.93/3.09 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 2.93/3.09 | 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)
% 2.93/3.09 | ~ c_HOL_Oord__class_Oless(V_w,V_z,T_a)
% 2.93/3.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_w,T_a)
% 2.93/3.09 | ~ c_lessequals(V_x,V_y,T_a)
% 2.93/3.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ).
% 2.93/3.09
% 2.93/3.09 cnf(cls_nonzero__minus__divide__right_0,axiom,
% 2.93/3.09 ( ~ class_Ring__and__Field_Ofield(T_a)
% 2.93/3.09 | c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) = c_HOL_Oinverse__class_Odivide(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a)
% 2.93/3.09 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.93/3.09
% 2.93/3.09 cnf(cls_neg__less__0__iff__less_1,axiom,
% 2.93/3.09 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.93/3.09 | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 2.93/3.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 2.93/3.09
% 2.93/3.09 cnf(cls_neg__less__0__iff__less_0,axiom,
% 2.93/3.09 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 2.93/3.09 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 2.93/3.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 2.93/3.09
% 2.93/3.09 cnf(cls_mod__0_0,axiom,
% 2.93/3.09 ( ~ class_Divides_Osemiring__div(T_a)
% 2.93/3.09 | c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 2.93/3.09
% 2.93/3.09 cnf(cls_min__less__iff__conj_2,axiom,
% 2.93/3.09 ( ~ class_Orderings_Olinorder(T_a)
% 2.93/3.09 | c_HOL_Oord__class_Oless(V_z,c_Orderings_Oord__class_Omin(V_x,V_y,T_a),T_a)
% 2.93/3.09 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a)
% 2.93/3.09 | ~ c_HOL_Oord__class_Oless(V_z,V_x,T_a) ) ).
% 2.93/3.09
% 2.93/3.09 cnf(cls_abs__triangle__ineq3_0,axiom,
% 2.93/3.09 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 2.93/3.09 | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a),T_a),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),T_a),T_a) ) ).
% 2.93/3.09
% 2.93/3.09 cnf(cls_min__max_Oinf__left__idem_0,axiom,
% 2.93/3.09 ( ~ class_Orderings_Olinorder(T_a)
% 2.93/3.09 | c_Orderings_Oord__class_Omin(V_x,c_Orderings_Oord__class_Omin(V_x,V_y,T_a),T_a) = c_Orderings_Oord__class_Omin(V_x,V_y,T_a) ) ).
% 2.93/3.09
% 2.93/3.09 cnf(cls_abs__mult__less_0,axiom,
% 2.93/3.09 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 2.93/3.09 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a),c_HOL_Otimes__class_Otimes(V_c,V_d,T_a),T_a)
% 2.93/3.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(V_b,T_a),V_d,T_a)
% 2.93/3.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(V_a,T_a),V_c,T_a) ) ).
% 2.93/3.09
% 2.93/3.09 cnf(cls_inf__sup__distrib2_0,axiom,
% 2.93/3.09 ( ~ class_Lattices_Odistrib__lattice(T_a)
% 2.93/3.09 | c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),V_x,T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_y,V_x,T_a),c_Lattices_Olower__semilattice__class_Oinf(V_z,V_x,T_a),T_a) ) ).
% 2.93/3.09
% 2.93/3.09 cnf(cls_inf__sup__distrib1_0,axiom,
% 2.93/3.09 ( ~ class_Lattices_Odistrib__lattice(T_a)
% 3.09/3.09 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),c_Lattices_Olower__semilattice__class_Oinf(V_x,V_z,T_a),T_a) ) ).
% 3.09/3.09
% 3.09/3.09 cnf(cls_add__nonneg__eq__0__iff_2,axiom,
% 3.09/3.09 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 3.09/3.09 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 3.09/3.09 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 3.09/3.09 | 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) ) ).
% 3.09/3.09
% 3.09/3.09 cnf(cls_class__semiring_Omul__c_0,axiom,
% 3.09/3.09 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 3.09/3.09 | c_HOL_Otimes__class_Otimes(V_x,V_y,T_a) = c_HOL_Otimes__class_Otimes(V_y,V_x,T_a) ) ).
% 3.09/3.09
% 3.09/3.09 cnf(cls_class__semiring_Osemiring__rules_I7_J_0,axiom,
% 3.09/3.09 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 3.09/3.09 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) = c_HOL_Otimes__class_Otimes(V_b,V_a,T_a) ) ).
% 3.09/3.09
% 3.09/3.09 cnf(cls_sup__idem_0,axiom,
% 3.09/3.09 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 3.09/3.09 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_x,T_a) = V_x ) ).
% 3.09/3.09
% 3.09/3.09 cnf(cls_xt1_I10_J_0,axiom,
% 3.09/3.09 ( ~ class_Orderings_Oorder(T_a)
% 3.09/3.09 | c_HOL_Oord__class_Oless(V_z,V_x,T_a)
% 3.09/3.09 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a)
% 3.09/3.09 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 3.09/3.09
% 3.09/3.09 cnf(cls_order__less__trans_0,axiom,
% 3.09/3.09 ( ~ class_Orderings_Opreorder(T_a)
% 3.09/3.09 | c_HOL_Oord__class_Oless(V_x,V_z,T_a)
% 3.09/3.09 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a)
% 3.09/3.09 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 3.09/3.09
% 3.09/3.09 cnf(cls_abs__eq__0_1,axiom,
% 3.09/3.09 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 3.09/3.09 | c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 3.09/3.09
% 3.09/3.09 cnf(cls_neg__0__equal__iff__equal_0,axiom,
% 3.09/3.09 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 3.09/3.09 | c_HOL_Ozero__class_Ozero(T_a) != c_HOL_Ouminus__class_Ouminus(V_a,T_a)
% 3.09/3.09 | c_HOL_Ozero__class_Ozero(T_a) = V_a ) ).
% 3.09/3.09
% 3.09/3.09 cnf(cls_abs__triangle__ineq_0,axiom,
% 3.09/3.09 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 3.09/3.09 | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a),T_a) ) ).
% 3.09/3.09
% 3.09/3.09 cnf(cls_less__le__not__le_1,axiom,
% 3.09/3.09 ( ~ class_Orderings_Opreorder(T_a)
% 3.09/3.09 | ~ c_lessequals(V_y,V_x,T_a)
% 3.09/3.09 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 3.09/3.09
% 3.09/3.09 cnf(cls_not__leE_0,axiom,
% 3.09/3.09 ( ~ class_Orderings_Olinorder(T_a)
% 3.09/3.09 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 3.09/3.09 | c_lessequals(V_y,V_x,T_a) ) ).
% 3.09/3.09
% 3.09/3.09 cnf(cls_linorder__antisym__conv2_1,axiom,
% 3.09/3.09 ( ~ class_Orderings_Olinorder(T_a)
% 3.09/3.09 | ~ c_lessequals(V_x,V_x,T_a)
% 3.09/3.09 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 3.09/3.09
% 3.09/3.09 cnf(cls_linorder__antisym__conv1_1,axiom,
% 3.09/3.09 ( ~ class_Orderings_Olinorder(T_a)
% 3.09/3.09 | c_HOL_Oord__class_Oless(V_x,V_x,T_a)
% 3.09/3.09 | c_lessequals(V_x,V_x,T_a) ) ).
% 3.09/3.09
% 3.09/3.09 cnf(cls_linorder__not__less_1,axiom,
% 3.09/3.09 ( ~ class_Orderings_Olinorder(T_a)
% 3.09/3.09 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 3.09/3.09 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 3.09/3.09
% 3.09/3.09 cnf(cls_linorder__not__less_0,axiom,
% 3.09/3.09 ( ~ class_Orderings_Olinorder(T_a)
% 3.09/3.09 | c_lessequals(V_y,V_x,T_a)
% 3.09/3.09 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 3.09/3.09
% 3.09/3.09 cnf(cls_linorder__not__le_0,axiom,
% 3.09/3.09 ( ~ class_Orderings_Olinorder(T_a)
% 3.09/3.09 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 3.09/3.09 | c_lessequals(V_x,V_y,T_a) ) ).
% 3.09/3.09
% 3.09/3.09 cnf(cls_linorder__not__le_1,axiom,
% 3.09/3.09 ( ~ class_Orderings_Olinorder(T_a)
% 3.09/3.09 | ~ c_lessequals(V_x,V_y,T_a)
% 3.09/3.09 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 3.09/3.09
% 3.09/3.09 cnf(cls_zero__le__divide__iff_3,axiom,
% 3.09/3.09 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 3.09/3.09 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 3.09/3.09 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 3.09/3.09 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 3.09/3.09 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) ) ).
% 3.09/3.09
% 3.09/3.09 cnf(cls_zero__le__divide__iff_2,axiom,
% 3.09/3.09 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 3.09/3.09 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 3.09/3.09 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 3.09/3.09 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 3.09/3.09 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) ) ).
% 3.09/3.09
% 3.09/3.09 cnf(cls_zero__le__divide__iff_1,axiom,
% 3.09/3.09 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 3.09/3.09 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 3.09/3.09 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 3.09/3.09 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 3.09/3.09 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) ) ).
% 3.09/3.09
% 3.09/3.09 cnf(cls_zero__le__divide__iff_0,axiom,
% 3.09/3.09 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 3.09/3.09 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 3.09/3.09 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 3.09/3.09 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 3.09/3.09 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) ) ).
% 3.09/3.09
% 3.09/3.09 cnf(cls_add__strict__increasing2_0,axiom,
% 3.09/3.09 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 3.09/3.09 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 3.09/3.09 | c_HOL_Oord__class_Oless(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a)
% 3.09/3.09 | ~ c_HOL_Oord__class_Oless(V_b,V_c,T_a)
% 3.09/3.09 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 3.09/3.09
% 3.09/3.09 cnf(cls_eq__eqI_0,axiom,
% 3.09/3.09 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 3.09/3.09 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 3.09/3.09 | V_x_H = V_y_H ) ).
% 3.09/3.09
% 3.09/3.09 cnf(cls_eq__eqI_1,axiom,
% 3.09/3.09 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 3.09/3.09 | c_HOL_Ominus__class_Ominus(V_xa,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x,V_x,T_a)
% 3.09/3.09 | V_xa = V_y ) ).
% 3.09/3.09
% 3.09/3.09 cnf(cls_min__max_Oinf__sup__absorb_0,axiom,
% 3.09/3.09 ( ~ class_Orderings_Olinorder(T_a)
% 3.09/3.09 | c_Orderings_Oord__class_Omin(V_x,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) = V_x ) ).
% 3.09/3.09
% 3.09/3.09 cnf(cls_diff__eq_0,axiom,
% 3.09/3.09 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 3.09/3.09 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_x,c_HOL_Ouminus__class_Ouminus(V_y,T_a),T_a) ) ).
% 3.09/3.09
% 3.09/3.09 cnf(cls_mult__right__le__imp__le_0,axiom,
% 3.09/3.09 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 3.09/3.09 | c_lessequals(V_a,V_b,T_a)
% 3.09/3.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 3.09/3.09 | ~ 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) ) ).
% 3.09/3.09
% 3.09/3.09 cnf(cls_mult__left__le__imp__le_0,axiom,
% 3.09/3.09 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 3.09/3.09 | c_lessequals(V_a,V_b,T_a)
% 3.09/3.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 3.09/3.09 | ~ 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) ) ).
% 3.09/3.09
% 3.09/3.09 cnf(cls_mult__le__cancel__left__pos_1,axiom,
% 3.09/3.09 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 3.09/3.09 | 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)
% 3.09/3.09 | ~ c_lessequals(V_a,V_b,T_a)
% 3.09/3.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 3.09/3.09
% 3.09/3.09 cnf(cls_mult__le__cancel__left__pos_0,axiom,
% 3.09/3.09 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 3.09/3.09 | c_lessequals(V_a,V_b,T_a)
% 3.09/3.09 | ~ 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)
% 3.09/3.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 3.09/3.09
% 3.09/3.09 cnf(cls_mult__le__cancel__left__neg_1,axiom,
% 3.09/3.09 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 3.09/3.09 | 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)
% 3.09/3.09 | ~ c_lessequals(V_b,V_a,T_a)
% 3.09/3.09 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 3.09/3.09
% 3.09/3.09 cnf(cls_mult__le__cancel__left__neg_0,axiom,
% 3.09/3.09 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 3.09/3.09 | c_lessequals(V_b,V_a,T_a)
% 3.09/3.09 | ~ 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)
% 3.09/3.09 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 3.09/3.09
% 3.09/3.09 cnf(cls_sup__left__commute_0,axiom,
% 3.09/3.09 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 3.09/3.09 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_z,T_a),T_a) ) ).
% 3.09/3.09
% 3.09/3.09 cnf(cls_sup__assoc_0,axiom,
% 3.09/3.09 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 3.09/3.09 | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a) ) ).
% 3.09/3.09
% 3.09/3.09 cnf(cls_inf__sup__aci_I7_J_0,axiom,
% 3.09/3.09 ( ~ class_Lattices_Olattice(T_a)
% 3.09/3.09 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_z,T_a),T_a) ) ).
% 3.09/3.09
% 3.09/3.09 cnf(cls_inf__sup__aci_I6_J_0,axiom,
% 3.09/3.09 ( ~ class_Lattices_Olattice(T_a)
% 3.09/3.09 | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a) ) ).
% 3.09/3.09
% 3.09/3.09 cnf(cls_minus__divide__divide_0,axiom,
% 3.09/3.09 ( ~ class_Ring__and__Field_Ofield(T_a)
% 3.09/3.09 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 3.09/3.09 | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) = c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a) ) ).
% 3.09/3.09
% 3.09/3.09 cnf(cls_divide_Ominus_0,axiom,
% 3.09/3.09 ( ~ class_RealVector_Oreal__normed__field(T_a)
% 3.09/3.09 | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(V_x,T_a),V_y,T_a) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),T_a) ) ).
% 3.09/3.09
% 3.09/3.09 cnf(cls_mult_Oprod__diff__prod_0,axiom,
% 3.09/3.09 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 3.09/3.09 | c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_x,V_a,T_a),c_HOL_Ominus__class_Ominus(V_y,V_b,T_a),T_a),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_x,V_a,T_a),V_b,T_a),T_a),c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ominus__class_Ominus(V_y,V_b,T_a),T_a),T_a) ) ).
% 3.09/3.09
% 3.09/3.09 cnf(cls_poly__minus_0,axiom,
% 3.09/3.09 ( ~ class_Ring__and__Field_Ocomm__ring(T_a)
% 3.09/3.09 | c_Polynomial_Opoly(c_HOL_Ouminus__class_Ouminus(V_p,tc_Polynomial_Opoly(T_a)),V_x,T_a) = c_HOL_Ouminus__class_Ouminus(c_Polynomial_Opoly(V_p,V_x,T_a),T_a) ) ).
% 3.09/3.09
% 3.09/3.09 cnf(cls_inf__absorb2_0,axiom,
% 3.09/3.09 ( ~ class_Lattices_Olower__semilattice(T_a)
% 3.09/3.09 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) = V_y
% 3.09/3.09 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 3.09/3.09
% 3.09/3.09 cnf(cls_le__iff__inf_1,axiom,
% 3.09/3.09 ( ~ class_Lattices_Olower__semilattice(T_a)
% 3.09/3.09 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) != V_x
% 3.09/3.09 | c_lessequals(V_x,V_y,T_a) ) ).
% 3.09/3.09
% 3.09/3.09 cnf(cls_le__iff__inf_0,axiom,
% 3.09/3.09 ( ~ class_Lattices_Olower__semilattice(T_a)
% 3.09/3.09 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) = V_x
% 3.09/3.09 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 3.09/3.09
% 3.09/3.09 cnf(cls_mult__right_OscaleR_0,axiom,
% 3.09/3.09 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 3.09/3.09 | c_HOL_Otimes__class_Otimes(V_xa,c_RealVector_OscaleR__class_OscaleR(V_r,V_x,T_a),T_a) = c_RealVector_OscaleR__class_OscaleR(V_r,c_HOL_Otimes__class_Otimes(V_xa,V_x,T_a),T_a) ) ).
% 3.09/3.09
% 3.09/3.09 cnf(cls_mult__scaleR__left_0,axiom,
% 3.09/3.09 ( ~ class_RealVector_Oreal__algebra(T_a)
% 3.09/3.09 | c_HOL_Otimes__class_Otimes(c_RealVector_OscaleR__class_OscaleR(V_a,V_x,T_a),V_y,T_a) = c_RealVector_OscaleR__class_OscaleR(V_a,c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),T_a) ) ).
% 3.09/3.09
% 3.09/3.09 cnf(cls_mult__scaleR__right_0,axiom,
% 3.09/3.09 ( ~ class_RealVector_Oreal__algebra(T_a)
% 3.09/3.09 | c_HOL_Otimes__class_Otimes(V_x,c_RealVector_OscaleR__class_OscaleR(V_a,V_y,T_a),T_a) = c_RealVector_OscaleR__class_OscaleR(V_a,c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),T_a) ) ).
% 3.09/3.09
% 3.09/3.09 cnf(cls_max__diff__distrib__left_0,axiom,
% 3.09/3.09 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 3.09/3.09 | c_HOL_Ominus__class_Ominus(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a) = c_Orderings_Oord__class_Omax(c_HOL_Ominus__class_Ominus(V_x,V_z,T_a),c_HOL_Ominus__class_Ominus(V_y,V_z,T_a),T_a) ) ).
% 3.09/3.09
% 3.09/3.09 cnf(cls_min__max_Ole__iff__inf_0,axiom,
% 3.09/3.09 ( ~ class_Orderings_Olinorder(T_a)
% 3.09/3.09 | c_Orderings_Oord__class_Omin(V_x,V_y,T_a) = V_x
% 3.09/3.09 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 3.09/3.09
% 3.09/3.09 cnf(cls_min__max_Ole__iff__inf_1,axiom,
% 3.09/3.09 ( ~ class_Orderings_Olinorder(T_a)
% 3.09/3.09 | c_Orderings_Oord__class_Omin(V_x,V_y,T_a) != V_x
% 3.09/3.09 | c_lessequals(V_x,V_y,T_a) ) ).
% 3.09/3.09
% 3.09/3.09 cnf(cls_min__max_Oinf__absorb2_0,axiom,
% 3.09/3.09 ( ~ class_Orderings_Olinorder(T_a)
% 3.09/3.09 | c_Orderings_Oord__class_Omin(V_x,V_y,T_a) = V_y
% 3.09/3.09 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 3.09/3.09
% 3.09/3.09 cnf(cls_nonzero__abs__divide_0,axiom,
% 3.09/3.09 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 3.09/3.09 | c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a)
% 3.09/3.09 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 3.09/3.09
% 3.09/3.09 cnf(cls_mod__diff__left__eq_0,axiom,
% 3.09/3.09 ( ~ class_Divides_Oring__div(T_a)
% 3.09/3.09 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(V_a,V_c,T_a),V_b,T_a),V_c,T_a) ) ).
% 3.09/3.09
% 3.09/3.09 cnf(cls_mod__diff__right__eq_0,axiom,
% 3.09/3.09 ( ~ class_Divides_Oring__div(T_a)
% 3.09/3.09 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(V_a,c_Divides_Odiv__class_Omod(V_b,V_c,T_a),T_a),V_c,T_a) ) ).
% 3.09/3.09
% 3.09/3.09 cnf(cls_min__max_Ole__iff__sup_0,axiom,
% 3.09/3.09 ( ~ class_Orderings_Olinorder(T_a)
% 3.09/3.09 | c_Orderings_Oord__class_Omax(V_x,V_y,T_a) = V_y
% 3.09/3.09 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 3.09/3.09
% 3.09/3.09 cnf(cls_min__max_Ole__iff__sup_1,axiom,
% 3.09/3.09 ( ~ class_Orderings_Olinorder(T_a)
% 3.09/3.09 | c_Orderings_Oord__class_Omax(V_x,V_y,T_a) != V_y
% 3.09/3.09 | c_lessequals(V_x,V_y,T_a) ) ).
% 3.09/3.09
% 3.09/3.09 cnf(cls_min__max_Osup__absorb1_0,axiom,
% 3.09/3.09 ( ~ class_Orderings_Olinorder(T_a)
% 3.09/3.09 | c_Orderings_Oord__class_Omax(V_x,V_y,T_a) = V_x
% 3.09/3.09 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 3.09/3.09
% 3.09/3.09 cnf(cls_add__nonneg__nonneg_0,axiom,
% 3.09/3.09 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 3.09/3.09 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a)
% 3.09/3.09 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 3.09/3.09 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 3.09/3.09
% 3.09/3.09 cnf(cls_divide_OscaleR_0,axiom,
% 3.09/3.09 ( ~ class_RealVector_Oreal__normed__field(T_a)
% 3.09/3.09 | c_HOL_Oinverse__class_Odivide(c_RealVector_OscaleR__class_OscaleR(V_r,V_x,T_a),V_y,T_a) = c_RealVector_OscaleR__class_OscaleR(V_r,c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),T_a) ) ).
% 3.09/3.09
% 3.09/3.09 cnf(cls_sup__eq__if_0,axiom,
% 3.09/3.09 ( ~ class_Orderings_Olinorder(T_a)
% 3.09/3.09 | ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 3.09/3.09 | c_Lattices_Oupper__semilattice__class_Osup(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) = c_HOL_Ouminus__class_Ouminus(V_a,T_a)
% 3.09/3.09 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 3.09/3.09
% 3.09/3.09 cnf(cls_inf__0__imp__0_0,axiom,
% 3.09/3.09 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 3.09/3.09 | c_Lattices_Olower__semilattice__class_Oinf(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 3.09/3.09 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 3.09/3.09
% 3.09/3.09 cnf(cls_zero__le__double__add__iff__zero__le__single__add_0,axiom,
% 3.09/3.09 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 3.09/3.09 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 3.09/3.09 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),T_a) ) ).
% 3.09/3.09
% 3.09/3.09 cnf(cls_zero__le__double__add__iff__zero__le__single__add_1,axiom,
% 3.09/3.09 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 3.09/3.09 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),T_a)
% 3.09/3.09 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 3.09/3.09
% 3.09/3.09 cnf(cls_DERIV__mult__lemma_0,axiom,
% 3.09/3.09 ( ~ class_RealVector_Oreal__field(T_a)
% 3.09/3.09 | c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Otimes__class_Otimes(V_c,V_d,T_a),T_a),V_h,T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(V_b,V_d,T_a),V_h,T_a),T_a),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(V_a,V_c,T_a),V_h,T_a),V_d,T_a),T_a) ) ).
% 3.09/3.09
% 3.09/3.09 cnf(cls_mod__mod__trivial_0,axiom,
% 3.09/3.09 ( ~ class_Divides_Osemiring__div(T_a)
% 3.09/3.09 | c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(V_a,V_b,T_a),V_b,T_a) = c_Divides_Odiv__class_Omod(V_a,V_b,T_a) ) ).
% 3.09/3.09
% 3.09/3.09 cnf(cls_abs__diff__triangle__ineq_0,axiom,
% 3.09/3.09 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 3.09/3.09 | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Oplus__class_Oplus(V_c,V_d,T_a),T_a),T_a),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(V_a,V_c,T_a),T_a),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(V_b,V_d,T_a),T_a),T_a),T_a) ) ).
% 3.09/3.09
% 3.09/3.09 cnf(cls_add__strict__increasing_0,axiom,
% 3.09/3.09 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 3.09/3.09 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 3.09/3.09 | c_HOL_Oord__class_Oless(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a)
% 3.09/3.09 | ~ c_lessequals(V_b,V_c,T_a)
% 3.09/3.09 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 3.09/3.09
% 3.09/3.09 cnf(cls_min__diff__distrib__left_0,axiom,
% 3.09/3.09 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 3.09/3.09 | c_HOL_Ominus__class_Ominus(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a) = c_Orderings_Oord__class_Omin(c_HOL_Ominus__class_Ominus(V_x,V_z,T_a),c_HOL_Ominus__class_Ominus(V_y,V_z,T_a),T_a) ) ).
% 3.09/3.09
% 3.09/3.09 cnf(cls_le__minus__self__iff_0,axiom,
% 3.09/3.09 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 3.09/3.09 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 3.09/3.09 | ~ c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 3.09/3.09
% 3.09/3.09 cnf(cls_le__minus__self__iff_1,axiom,
% 3.09/3.09 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 3.09/3.09 | c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
% 3.09/3.09 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 3.09/3.09
% 3.09/3.09 cnf(cls_minus__le__self__iff_0,axiom,
% 3.09/3.09 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 3.09/3.09 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 3.09/3.09 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_a,T_a) ) ).
% 3.09/3.09
% 3.09/3.09 cnf(cls_minus__le__self__iff_1,axiom,
% 3.09/3.09 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 3.09/3.09 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_a,T_a)
% 3.09/3.09 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 3.09/3.09
% 3.09/3.09 cnf(cls_less__eq__neg__nonpos_0,axiom,
% 3.09/3.09 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a)
% 3.09/3.09 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 3.09/3.09 | ~ c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 3.09/3.09
% 3.09/3.09 cnf(cls_less__eq__neg__nonpos_1,axiom,
% 3.09/3.09 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a)
% 3.09/3.09 | c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
% 3.09/3.09 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 3.09/3.09
% 3.09/3.09 cnf(cls_neg__less__eq__nonneg_0,axiom,
% 3.09/3.09 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a)
% 3.09/3.09 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 3.09/3.09 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_a,T_a) ) ).
% 3.09/3.09
% 3.09/3.09 cnf(cls_neg__less__eq__nonneg_1,axiom,
% 3.09/3.09 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a)
% 3.09/3.09 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_a,T_a)
% 3.09/3.09 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 3.09/3.09
% 3.09/3.09 cnf(cls_eq__add__iff1_1,axiom,
% 3.09/3.09 ( ~ class_Ring__and__Field_Oring(T_a)
% 3.09/3.09 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_e,T_a),V_c,T_a),T_a) ) ).
% 3.09/3.09
% 3.09/3.09 cnf(cls_dvd__mult__cancel__left_2,axiom,
% 3.09/3.09 ( ~ class_Ring__and__Field_Oidom(T_a)
% 3.09/3.09 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 3.09/3.09 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ).
% 3.09/3.09
% 3.09/3.09 cnf(cls_dvd__mult__cancel__right_2,axiom,
% 3.09/3.09 ( ~ class_Ring__and__Field_Oidom(T_a)
% 3.09/3.09 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a)
% 3.09/3.09 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ).
% 3.09/3.09
% 3.09/3.09 cnf(cls_abs__idempotent_0,axiom,
% 3.09/3.09 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 3.09/3.09 | c_HOL_Oabs__class_Oabs(c_HOL_Oabs__class_Oabs(V_a,T_a),T_a) = c_HOL_Oabs__class_Oabs(V_a,T_a) ) ).
% 3.09/3.09
% 3.09/3.09 cnf(cls_eq__add__iff1_0,axiom,
% 3.09/3.09 ( ~ class_Ring__and__Field_Oring(T_a)
% 3.09/3.09 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a)
% 3.09/3.09 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_e,T_a),V_c,T_a) = V_d ) ).
% 3.09/3.09
% 3.09/3.09 cnf(cls_eq__add__iff2_0,axiom,
% 3.09/3.09 ( ~ class_Ring__and__Field_Oring(T_a)
% 3.09/3.09 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a)
% 3.09/3.09 | V_c = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_b,V_a,T_a),V_e,T_a),V_d,T_a) ) ).
% 3.09/3.09
% 3.09/3.09 cnf(cls_zero__less__abs__iff_1,axiom,
% 3.09/3.09 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 3.09/3.09 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oabs__class_Oabs(V_a,T_a),T_a)
% 3.09/3.09 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 3.09/3.09
% 3.09/3.09 cnf(cls_complex__cnj__cnj_0,axiom,
% 3.09/3.09 c_Complex_Ocnj(c_Complex_Ocnj(V_z)) = V_z ).
% 3.09/3.09
% 3.09/3.09 cnf(cls_scaleR_OscaleR__right_0,axiom,
% 3.09/3.09 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 3.09/3.09 | c_RealVector_OscaleR__class_OscaleR(V_a,c_RealVector_OscaleR__class_OscaleR(V_r,V_b,T_a),T_a) = c_RealVector_OscaleR__class_OscaleR(V_r,c_RealVector_OscaleR__class_OscaleR(V_a,V_b,T_a),T_a) ) ).
% 3.09/3.09
% 3.09/3.09 cnf(cls_scaleR__left__commute_0,axiom,
% 3.09/3.09 ( ~ class_RealVector_Oreal__vector(T_a)
% 3.09/3.09 | c_RealVector_OscaleR__class_OscaleR(V_a,c_RealVector_OscaleR__class_OscaleR(V_b,V_x,T_a),T_a) = c_RealVector_OscaleR__class_OscaleR(V_b,c_RealVector_OscaleR__class_OscaleR(V_a,V_x,T_a),T_a) ) ).
% 3.09/3.09
% 3.09/3.09 cnf(cls_scaleR__right_OscaleR_0,axiom,
% 3.09/3.09 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 3.09/3.09 | c_RealVector_OscaleR__class_OscaleR(V_ra,c_RealVector_OscaleR__class_OscaleR(V_r,V_x,T_a),T_a) = c_RealVector_OscaleR__class_OscaleR(V_r,c_RealVector_OscaleR__class_OscaleR(V_ra,V_x,T_a),T_a) ) ).
% 3.09/3.09
% 3.09/3.09 cnf(cls_mod__by__0_0,axiom,
% 3.09/3.09 ( ~ class_Divides_Osemiring__div(T_a)
% 3.09/3.09 | c_Divides_Odiv__class_Omod(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ).
% 3.09/3.09
% 3.09/3.09 cnf(cls_mod__self_0,axiom,
% 3.09/3.09 ( ~ class_Divides_Osemiring__div(T_a)
% 3.09/3.09 | c_Divides_Odiv__class_Omod(V_a,V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 3.09/3.09
% 3.09/3.09 cnf(cls_divide__le__0__iff_0,axiom,
% 3.09/3.09 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 3.09/3.09 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 3.09/3.09 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 3.09/3.09 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 3.09/3.09 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 3.09/3.09
% 3.09/3.09 cnf(cls_divide__le__0__iff_1,axiom,
% 3.09/3.09 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 3.09/3.09 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 3.09/3.09 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 3.09/3.09 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 3.09/3.09 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 3.09/3.09
% 3.09/3.09 cnf(cls_divide__le__0__iff_2,axiom,
% 3.09/3.09 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 3.09/3.10 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 3.09/3.10 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 3.09/3.10 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 3.09/3.10 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_divide__le__0__iff_3,axiom,
% 3.09/3.10 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 3.09/3.10 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 3.09/3.10 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 3.09/3.10 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 3.09/3.10 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_mod__minus__cong_0,axiom,
% 3.09/3.10 ( ~ class_Divides_Oring__div(T_a)
% 3.09/3.10 | c_Divides_Odiv__class_Omod(V_a,V_b,T_a) != c_Divides_Odiv__class_Omod(V_a_H,V_b,T_a)
% 3.09/3.10 | c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(V_a_H,T_a),V_b,T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_mod__mult__eq_0,axiom,
% 3.09/3.10 ( ~ class_Divides_Osemiring__div(T_a)
% 3.09/3.10 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(V_a,V_c,T_a),c_Divides_Odiv__class_Omod(V_b,V_c,T_a),T_a),V_c,T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_le__max__iff__disj_0,axiom,
% 3.09/3.10 ( ~ class_Orderings_Olinorder(T_a)
% 3.09/3.10 | c_lessequals(V_z,V_y,T_a)
% 3.09/3.10 | c_lessequals(V_z,V_x,T_a)
% 3.09/3.10 | ~ c_lessequals(V_z,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_min__max_Ole__infE_0,axiom,
% 3.09/3.10 ( ~ class_Orderings_Olinorder(T_a)
% 3.09/3.10 | c_lessequals(V_x,V_a,T_a)
% 3.09/3.10 | ~ c_lessequals(V_x,c_Orderings_Oord__class_Omin(V_a,V_b,T_a),T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_min__max_Ole__infE_1,axiom,
% 3.09/3.10 ( ~ class_Orderings_Olinorder(T_a)
% 3.09/3.10 | c_lessequals(V_x,V_b,T_a)
% 3.09/3.10 | ~ c_lessequals(V_x,c_Orderings_Oord__class_Omin(V_a,V_b,T_a),T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_min__max_Ole__infI1_0,axiom,
% 3.09/3.10 ( ~ class_Orderings_Olinorder(T_a)
% 3.09/3.10 | c_lessequals(c_Orderings_Oord__class_Omin(V_a,V_b,T_a),V_x,T_a)
% 3.09/3.10 | ~ c_lessequals(V_a,V_x,T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_min__max_Ole__infI2_0,axiom,
% 3.09/3.10 ( ~ class_Orderings_Olinorder(T_a)
% 3.09/3.10 | c_lessequals(c_Orderings_Oord__class_Omin(V_a,V_b,T_a),V_x,T_a)
% 3.09/3.10 | ~ c_lessequals(V_b,V_x,T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_min__le__iff__disj_1,axiom,
% 3.09/3.10 ( ~ class_Orderings_Olinorder(T_a)
% 3.09/3.10 | c_lessequals(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a)
% 3.09/3.10 | ~ c_lessequals(V_x,V_z,T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_min__le__iff__disj_2,axiom,
% 3.09/3.10 ( ~ class_Orderings_Olinorder(T_a)
% 3.09/3.10 | c_lessequals(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a)
% 3.09/3.10 | ~ c_lessequals(V_y,V_z,T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_min__max_Ole__inf__iff_0,axiom,
% 3.09/3.10 ( ~ class_Orderings_Olinorder(T_a)
% 3.09/3.10 | c_lessequals(V_x,V_y,T_a)
% 3.09/3.10 | ~ c_lessequals(V_x,c_Orderings_Oord__class_Omin(V_y,V_z,T_a),T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_min__max_Ole__inf__iff_1,axiom,
% 3.09/3.10 ( ~ class_Orderings_Olinorder(T_a)
% 3.09/3.10 | c_lessequals(V_x,V_z,T_a)
% 3.09/3.10 | ~ c_lessequals(V_x,c_Orderings_Oord__class_Omin(V_y,V_z,T_a),T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_divide__less__eq_1,axiom,
% 3.09/3.10 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 3.09/3.10 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 3.09/3.10 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a)
% 3.09/3.10 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 3.09/3.10 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 3.09/3.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_divide__less__eq_4,axiom,
% 3.09/3.10 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 3.09/3.10 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 3.09/3.10 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a)
% 3.09/3.10 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 3.09/3.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a)
% 3.09/3.10 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_divide__less__eq_5,axiom,
% 3.09/3.10 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 3.09/3.10 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 3.09/3.10 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a)
% 3.09/3.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 3.09/3.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a)
% 3.09/3.10 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_divide__less__eq_7,axiom,
% 3.09/3.10 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 3.09/3.10 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 3.09/3.10 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a)
% 3.09/3.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 3.09/3.10 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 3.09/3.10 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_less__divide__eq_1,axiom,
% 3.09/3.10 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 3.09/3.10 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 3.09/3.10 | c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a)
% 3.09/3.10 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 3.09/3.10 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 3.09/3.10 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_less__divide__eq_4,axiom,
% 3.09/3.10 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 3.09/3.10 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 3.09/3.10 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 3.09/3.10 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 3.09/3.10 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a)
% 3.09/3.10 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_less__divide__eq_5,axiom,
% 3.09/3.10 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 3.09/3.10 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 3.09/3.10 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 3.09/3.10 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 3.09/3.10 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a)
% 3.09/3.10 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_less__divide__eq_7,axiom,
% 3.09/3.10 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 3.09/3.10 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 3.09/3.10 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 3.09/3.10 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 3.09/3.10 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 3.09/3.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_abs__ge__minus__self_0,axiom,
% 3.09/3.10 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 3.09/3.10 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Oabs__class_Oabs(V_a,T_a),T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_add__pCons_0,axiom,
% 3.09/3.10 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 3.09/3.10 | c_HOL_Oplus__class_Oplus(c_Polynomial_OpCons(V_a,V_p,T_a),c_Polynomial_OpCons(V_b,V_q,T_a),tc_Polynomial_Opoly(T_a)) = c_Polynomial_OpCons(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Oplus__class_Oplus(V_p,V_q,tc_Polynomial_Opoly(T_a)),T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_abs__ge__self_0,axiom,
% 3.09/3.10 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 3.09/3.10 | c_lessequals(V_a,c_HOL_Oabs__class_Oabs(V_a,T_a),T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_less__add__iff1_0,axiom,
% 3.09/3.10 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 3.09/3.10 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_e,T_a),V_c,T_a),V_d,T_a)
% 3.09/3.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a),T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_less__add__iff1_1,axiom,
% 3.09/3.10 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 3.09/3.10 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a),T_a)
% 3.09/3.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_e,T_a),V_c,T_a),V_d,T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_less__add__iff2_0,axiom,
% 3.09/3.10 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 3.09/3.10 | c_HOL_Oord__class_Oless(V_c,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_b,V_a,T_a),V_e,T_a),V_d,T_a),T_a)
% 3.09/3.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a),T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_less__add__iff2_1,axiom,
% 3.09/3.10 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 3.09/3.10 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a),T_a)
% 3.09/3.10 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_b,V_a,T_a),V_e,T_a),V_d,T_a),T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_min__le__iff__disj_0,axiom,
% 3.09/3.10 ( ~ class_Orderings_Olinorder(T_a)
% 3.09/3.10 | c_lessequals(V_y,V_z,T_a)
% 3.09/3.10 | c_lessequals(V_x,V_z,T_a)
% 3.09/3.10 | ~ c_lessequals(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_eq__divide__eq_4,axiom,
% 3.09/3.10 ( ~ class_Ring__and__Field_Ofield(T_a)
% 3.09/3.10 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 3.09/3.10 | 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) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_min__max_Ole__supE_0,axiom,
% 3.09/3.10 ( ~ class_Orderings_Olinorder(T_a)
% 3.09/3.10 | c_lessequals(V_a,V_x,T_a)
% 3.09/3.10 | ~ c_lessequals(c_Orderings_Oord__class_Omax(V_a,V_b,T_a),V_x,T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_min__max_Ole__supE_1,axiom,
% 3.09/3.10 ( ~ class_Orderings_Olinorder(T_a)
% 3.09/3.10 | c_lessequals(V_b,V_x,T_a)
% 3.09/3.10 | ~ c_lessequals(c_Orderings_Oord__class_Omax(V_a,V_b,T_a),V_x,T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_min__max_Ole__supI1_0,axiom,
% 3.09/3.10 ( ~ class_Orderings_Olinorder(T_a)
% 3.09/3.10 | c_lessequals(V_x,c_Orderings_Oord__class_Omax(V_a,V_b,T_a),T_a)
% 3.09/3.10 | ~ c_lessequals(V_x,V_a,T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_min__max_Ole__supI2_0,axiom,
% 3.09/3.10 ( ~ class_Orderings_Olinorder(T_a)
% 3.09/3.10 | c_lessequals(V_x,c_Orderings_Oord__class_Omax(V_a,V_b,T_a),T_a)
% 3.09/3.10 | ~ c_lessequals(V_x,V_b,T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_le__max__iff__disj_1,axiom,
% 3.09/3.10 ( ~ class_Orderings_Olinorder(T_a)
% 3.09/3.10 | c_lessequals(V_z,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a)
% 3.09/3.10 | ~ c_lessequals(V_z,V_x,T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_le__max__iff__disj_2,axiom,
% 3.09/3.10 ( ~ class_Orderings_Olinorder(T_a)
% 3.09/3.10 | c_lessequals(V_z,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a)
% 3.09/3.10 | ~ c_lessequals(V_z,V_y,T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_min__max_Ole__sup__iff_0,axiom,
% 3.09/3.10 ( ~ class_Orderings_Olinorder(T_a)
% 3.09/3.10 | c_lessequals(V_x,V_z,T_a)
% 3.09/3.10 | ~ c_lessequals(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_min__max_Ole__sup__iff_1,axiom,
% 3.09/3.10 ( ~ class_Orderings_Olinorder(T_a)
% 3.09/3.10 | c_lessequals(V_y,V_z,T_a)
% 3.09/3.10 | ~ c_lessequals(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_less__max__iff__disj_0,axiom,
% 3.09/3.10 ( ~ class_Orderings_Olinorder(T_a)
% 3.09/3.10 | c_HOL_Oord__class_Oless(V_z,V_y,T_a)
% 3.09/3.10 | c_HOL_Oord__class_Oless(V_z,V_x,T_a)
% 3.09/3.10 | ~ c_HOL_Oord__class_Oless(V_z,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_minus__unique_0,axiom,
% 3.09/3.10 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 3.09/3.10 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 3.09/3.10 | c_HOL_Ouminus__class_Ouminus(V_a,T_a) = V_b ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_eq__neg__iff__add__eq__0_1,axiom,
% 3.09/3.10 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 3.09/3.10 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 3.09/3.10 | V_a = c_HOL_Ouminus__class_Ouminus(V_b,T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_abs__less__iff_0,axiom,
% 3.09/3.10 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 3.09/3.10 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 3.09/3.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_min__less__iff__disj_0,axiom,
% 3.09/3.10 ( ~ class_Orderings_Olinorder(T_a)
% 3.09/3.10 | c_HOL_Oord__class_Oless(V_y,V_z,T_a)
% 3.09/3.10 | c_HOL_Oord__class_Oless(V_x,V_z,T_a)
% 3.09/3.10 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_abs__mult__self_0,axiom,
% 3.09/3.10 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 3.09/3.10 | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_a,T_a),T_a) = c_HOL_Otimes__class_Otimes(V_a,V_a,T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_mod__mult__cong_0,axiom,
% 3.09/3.10 ( ~ class_Divides_Osemiring__div(T_a)
% 3.09/3.10 | c_Divides_Odiv__class_Omod(V_b,V_c,T_a) != c_Divides_Odiv__class_Omod(V_b_H,V_c,T_a)
% 3.09/3.10 | c_Divides_Odiv__class_Omod(V_a,V_c,T_a) != c_Divides_Odiv__class_Omod(V_a_H,V_c,T_a)
% 3.09/3.10 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(V_a_H,V_b_H,T_a),V_c,T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_dvd__0__right_0,axiom,
% 3.09/3.10 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 3.09/3.10 | c_Ring__and__Field_Odvd__class_Odvd(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_add__frac__eq_0,axiom,
% 3.09/3.10 ( ~ class_Ring__and__Field_Ofield(T_a)
% 3.09/3.10 | 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)
% 3.09/3.10 | V_z = c_HOL_Ozero__class_Ozero(T_a)
% 3.09/3.10 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_divide__eq__eq_0,axiom,
% 3.09/3.10 ( ~ class_Ring__and__Field_Ofield(T_a)
% 3.09/3.10 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 3.09/3.10 | V_b = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_c,T_a)
% 3.09/3.10 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_eq__divide__eq_0,axiom,
% 3.09/3.10 ( ~ class_Ring__and__Field_Ofield(T_a)
% 3.09/3.10 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 3.09/3.10 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_c,T_a) = V_b
% 3.09/3.10 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_class__semiring_Osemiring__rules_I9_J_0,axiom,
% 3.09/3.10 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 3.09/3.10 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_class__semiring_Osemiring__rules_I10_J_0,axiom,
% 3.09/3.10 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 3.09/3.10 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_mult__left_Ozero_0,axiom,
% 3.09/3.10 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 3.09/3.10 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_mult_Ozero__left_0,axiom,
% 3.09/3.10 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 3.09/3.10 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_max__less__iff__conj_1,axiom,
% 3.09/3.10 ( ~ class_Orderings_Olinorder(T_a)
% 3.09/3.10 | c_HOL_Oord__class_Oless(V_y,V_z,T_a)
% 3.09/3.10 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_max__less__iff__conj_0,axiom,
% 3.09/3.10 ( ~ class_Orderings_Olinorder(T_a)
% 3.09/3.10 | c_HOL_Oord__class_Oless(V_x,V_z,T_a)
% 3.09/3.10 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_less__max__iff__disj_2,axiom,
% 3.09/3.10 ( ~ class_Orderings_Olinorder(T_a)
% 3.09/3.10 | c_HOL_Oord__class_Oless(V_z,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a)
% 3.09/3.10 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_less__max__iff__disj_1,axiom,
% 3.09/3.10 ( ~ class_Orderings_Olinorder(T_a)
% 3.09/3.10 | c_HOL_Oord__class_Oless(V_z,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a)
% 3.09/3.10 | ~ c_HOL_Oord__class_Oless(V_z,V_x,T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_min__max_Oless__supI2_0,axiom,
% 3.09/3.10 ( ~ class_Orderings_Olinorder(T_a)
% 3.09/3.10 | c_HOL_Oord__class_Oless(V_x,c_Orderings_Oord__class_Omax(V_a,V_b,T_a),T_a)
% 3.09/3.10 | ~ c_HOL_Oord__class_Oless(V_x,V_b,T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_min__max_Oless__supI1_0,axiom,
% 3.09/3.10 ( ~ class_Orderings_Olinorder(T_a)
% 3.09/3.10 | c_HOL_Oord__class_Oless(V_x,c_Orderings_Oord__class_Omax(V_a,V_b,T_a),T_a)
% 3.09/3.10 | ~ c_HOL_Oord__class_Oless(V_x,V_a,T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_inf__commute_0,axiom,
% 3.09/3.10 ( ~ class_Lattices_Olower__semilattice(T_a)
% 3.09/3.10 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_y,V_x,T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_inf__sup__aci_I1_J_0,axiom,
% 3.09/3.10 ( ~ class_Lattices_Olattice(T_a)
% 3.09/3.10 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_y,V_x,T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_min__max_Oinf__commute_0,axiom,
% 3.09/3.10 ( ~ class_Orderings_Olinorder(T_a)
% 3.09/3.10 | c_Orderings_Oord__class_Omin(V_x,V_y,T_a) = c_Orderings_Oord__class_Omin(V_y,V_x,T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_scaleR_Ozero__right_0,axiom,
% 3.09/3.10 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 3.09/3.10 | c_RealVector_OscaleR__class_OscaleR(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_scaleR__eq__0__iff_2,axiom,
% 3.09/3.10 ( ~ class_RealVector_Oreal__vector(T_a)
% 3.09/3.10 | c_RealVector_OscaleR__class_OscaleR(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_eq__neg__iff__add__eq__0_0,axiom,
% 3.09/3.10 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 3.09/3.10 | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_b,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_ab__left__minus_0,axiom,
% 3.09/3.10 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 3.09/3.10 | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_right__minus_0,axiom,
% 3.09/3.10 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 3.09/3.10 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_left__minus_0,axiom,
% 3.09/3.10 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 3.09/3.10 | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_add__neg__neg_0,axiom,
% 3.09/3.10 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 3.09/3.10 | 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)
% 3.09/3.10 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 3.09/3.10 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_eq__iff__diff__eq__0_1,axiom,
% 3.09/3.10 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 3.09/3.10 | c_HOL_Ominus__class_Ominus(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 3.09/3.10 | V_a = V_b ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_right__minus__eq_0,axiom,
% 3.09/3.10 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 3.09/3.10 | c_HOL_Ominus__class_Ominus(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 3.09/3.10 | V_a = V_b ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_class__ringb_Osubr0__iff_0,axiom,
% 3.09/3.10 ( ~ class_Ring__and__Field_Oidom(T_a)
% 3.09/3.10 | ~ class_Int_Onumber__ring(T_a)
% 3.09/3.10 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 3.09/3.10 | V_x = V_y ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_sum__squares__le__zero__iff_1,axiom,
% 3.09/3.10 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 3.09/3.10 | V_y = c_HOL_Ozero__class_Ozero(T_a)
% 3.09/3.10 | ~ 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) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_sum__squares__le__zero__iff_0,axiom,
% 3.09/3.10 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 3.09/3.10 | V_x = c_HOL_Ozero__class_Ozero(T_a)
% 3.09/3.10 | ~ 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) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_mult__right_Odiff_0,axiom,
% 3.09/3.10 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 3.09/3.10 | c_HOL_Otimes__class_Otimes(V_xa,c_HOL_Ominus__class_Ominus(V_x,V_y,T_a),T_a) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(V_xa,V_x,T_a),c_HOL_Otimes__class_Otimes(V_xa,V_y,T_a),T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_mult_Odiff__right_0,axiom,
% 3.09/3.10 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 3.09/3.10 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ominus__class_Ominus(V_b,V_b_H,T_a),T_a) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Otimes__class_Otimes(V_a,V_b_H,T_a),T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_mult_Odiff__left_0,axiom,
% 3.09/3.10 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 3.09/3.10 | c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_a,V_a_H,T_a),V_b,T_a) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Otimes__class_Otimes(V_a_H,V_b,T_a),T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_mult__left_Odiff_0,axiom,
% 3.09/3.10 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 3.09/3.10 | c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_x,V_y,T_a),V_ya,T_a) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(V_x,V_ya,T_a),c_HOL_Otimes__class_Otimes(V_y,V_ya,T_a),T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_divide__zero__left_0,axiom,
% 3.09/3.10 ( ~ class_Ring__and__Field_Ofield(T_a)
% 3.09/3.10 | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_divide__eq__eq_1,axiom,
% 3.09/3.10 ( ~ class_Ring__and__Field_Ofield(T_a)
% 3.09/3.10 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 3.09/3.10 | c_HOL_Oinverse__class_Odivide(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_divide__zero_0,axiom,
% 3.09/3.10 ( ~ class_Ring__and__Field_Ofield(T_a)
% 3.09/3.10 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 3.09/3.10 | c_HOL_Oinverse__class_Odivide(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_divide_Ozero_0,axiom,
% 3.09/3.10 ( ~ class_RealVector_Oreal__normed__field(T_a)
% 3.09/3.10 | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_min__less__iff__disj_2,axiom,
% 3.09/3.10 ( ~ class_Orderings_Olinorder(T_a)
% 3.09/3.10 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a)
% 3.09/3.10 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_min__less__iff__disj_1,axiom,
% 3.09/3.10 ( ~ class_Orderings_Olinorder(T_a)
% 3.09/3.10 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a)
% 3.09/3.10 | ~ c_HOL_Oord__class_Oless(V_x,V_z,T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_min__less__iff__conj_1,axiom,
% 3.09/3.10 ( ~ class_Orderings_Olinorder(T_a)
% 3.09/3.10 | c_HOL_Oord__class_Oless(V_z,V_y,T_a)
% 3.09/3.10 | ~ c_HOL_Oord__class_Oless(V_z,c_Orderings_Oord__class_Omin(V_x,V_y,T_a),T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_min__less__iff__conj_0,axiom,
% 3.09/3.10 ( ~ class_Orderings_Olinorder(T_a)
% 3.09/3.10 | c_HOL_Oord__class_Oless(V_z,V_x,T_a)
% 3.09/3.10 | ~ c_HOL_Oord__class_Oless(V_z,c_Orderings_Oord__class_Omin(V_x,V_y,T_a),T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_min__max_Oless__infI2_0,axiom,
% 3.09/3.10 ( ~ class_Orderings_Olinorder(T_a)
% 3.09/3.10 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(V_a,V_b,T_a),V_x,T_a)
% 3.09/3.10 | ~ c_HOL_Oord__class_Oless(V_b,V_x,T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_min__max_Oless__infI1_0,axiom,
% 3.09/3.10 ( ~ class_Orderings_Olinorder(T_a)
% 3.09/3.10 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(V_a,V_b,T_a),V_x,T_a)
% 3.09/3.10 | ~ c_HOL_Oord__class_Oless(V_a,V_x,T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_abs__diff__less__iff_0,axiom,
% 3.09/3.10 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 3.09/3.10 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_a,V_r,T_a),V_x,T_a)
% 3.09/3.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(V_x,V_a,T_a),T_a),V_r,T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_abs__divide_0,axiom,
% 3.09/3.10 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 3.09/3.10 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 3.09/3.10 | c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_abs__of__pos_0,axiom,
% 3.09/3.10 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 3.09/3.10 | c_HOL_Oabs__class_Oabs(V_a,T_a) = V_a
% 3.09/3.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_mod__mult__right__eq_0,axiom,
% 3.09/3.10 ( ~ class_Divides_Osemiring__div(T_a)
% 3.09/3.10 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(V_a,c_Divides_Odiv__class_Omod(V_b,V_c,T_a),T_a),V_c,T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_mod__mult__left__eq_0,axiom,
% 3.09/3.10 ( ~ class_Divides_Osemiring__div(T_a)
% 3.09/3.10 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(V_a,V_c,T_a),V_b,T_a),V_c,T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_sum__squares__gt__zero__iff_2,axiom,
% 3.09/3.10 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 3.09/3.10 | 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)
% 3.09/3.10 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_sum__squares__gt__zero__iff_1,axiom,
% 3.09/3.10 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 3.09/3.10 | 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)
% 3.09/3.10 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_inf__eq__neg__sup_0,axiom,
% 3.09/3.10 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 3.09/3.10 | c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a) = c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a),T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_sup__commute_0,axiom,
% 3.09/3.10 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 3.09/3.10 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_inf__sup__aci_I5_J_0,axiom,
% 3.09/3.10 ( ~ class_Lattices_Olattice(T_a)
% 3.09/3.10 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_neg__inf__eq__sup_0,axiom,
% 3.09/3.10 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 3.09/3.10 | c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_compl__inf_0,axiom,
% 3.09/3.10 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 3.09/3.10 | c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(V_x,T_a),c_HOL_Ouminus__class_Ouminus(V_y,T_a),T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_divide__less__0__iff_3,axiom,
% 3.09/3.10 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 3.09/3.10 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 3.09/3.10 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 3.09/3.10 | c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 3.09/3.10 | ~ 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) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_divide__less__0__iff_2,axiom,
% 3.09/3.10 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 3.09/3.10 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 3.09/3.10 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 3.09/3.10 | c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 3.09/3.10 | ~ 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) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_divide__less__0__iff_1,axiom,
% 3.09/3.10 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 3.09/3.10 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 3.09/3.10 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 3.09/3.10 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 3.09/3.10 | ~ 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) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_divide__less__0__iff_0,axiom,
% 3.09/3.10 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 3.09/3.10 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 3.09/3.10 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 3.09/3.10 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 3.09/3.10 | ~ 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) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_mult__divide__mult__cancel__right_0,axiom,
% 3.09/3.10 ( ~ class_Ring__and__Field_Ofield(T_a)
% 3.09/3.10 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 3.09/3.10 | 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)
% 3.09/3.10 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_mult__divide__mult__cancel__left_0,axiom,
% 3.09/3.10 ( ~ class_Ring__and__Field_Ofield(T_a)
% 3.09/3.10 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 3.09/3.10 | 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)
% 3.09/3.10 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_sup__left__idem_0,axiom,
% 3.09/3.10 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 3.09/3.10 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_inf__sup__aci_I8_J_0,axiom,
% 3.09/3.10 ( ~ class_Lattices_Olattice(T_a)
% 3.09/3.10 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_mult__frac__num_0,axiom,
% 3.09/3.10 ( ~ class_Ring__and__Field_Ofield(T_a)
% 3.09/3.10 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 3.09/3.10 | 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) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_abs__of__nonpos_0,axiom,
% 3.09/3.10 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 3.09/3.10 | c_HOL_Oabs__class_Oabs(V_a,T_a) = c_HOL_Ouminus__class_Ouminus(V_a,T_a)
% 3.09/3.10 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_mult__strict__left__mono__comm_0,axiom,
% 3.09/3.10 ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(T_a)
% 3.09/3.10 | 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)
% 3.09/3.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 3.09/3.10 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_mult__less__cancel__right__disj_5,axiom,
% 3.09/3.10 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 3.09/3.10 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a)
% 3.09/3.10 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 3.09/3.10 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_mult__less__cancel__right__disj_4,axiom,
% 3.09/3.10 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 3.09/3.10 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a)
% 3.09/3.10 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 3.09/3.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_mult__strict__right__mono_0,axiom,
% 3.09/3.10 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 3.09/3.10 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a)
% 3.09/3.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 3.09/3.10 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_mult__strict__right__mono__neg_0,axiom,
% 3.09/3.10 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 3.09/3.10 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a)
% 3.09/3.10 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 3.09/3.10 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_mult__less__cancel__left__disj_5,axiom,
% 3.09/3.10 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 3.09/3.10 | 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)
% 3.09/3.10 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 3.09/3.10 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_mult__less__cancel__left__disj_4,axiom,
% 3.09/3.10 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 3.09/3.10 | 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)
% 3.09/3.10 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 3.09/3.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_mult__strict__left__mono_0,axiom,
% 3.09/3.10 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 3.09/3.10 | 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)
% 3.09/3.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 3.09/3.10 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_mult__strict__left__mono__neg_0,axiom,
% 3.09/3.10 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 3.09/3.10 | 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)
% 3.09/3.10 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 3.09/3.10 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_mult__less__cancel__left__pos_1,axiom,
% 3.09/3.10 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 3.09/3.10 | 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)
% 3.09/3.10 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 3.09/3.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_mult__less__cancel__left__pos_0,axiom,
% 3.09/3.10 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 3.09/3.10 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 3.09/3.10 | ~ 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)
% 3.09/3.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_mult__less__cancel__left__neg_1,axiom,
% 3.09/3.10 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 3.09/3.10 | 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)
% 3.09/3.10 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 3.09/3.10 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_mult__less__cancel__left__neg_0,axiom,
% 3.09/3.10 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 3.09/3.10 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 3.09/3.10 | ~ 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)
% 3.09/3.10 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_min__max_Osup__left__commute_0,axiom,
% 3.09/3.10 ( ~ class_Orderings_Olinorder(T_a)
% 3.09/3.10 | c_Orderings_Oord__class_Omax(V_x,c_Orderings_Oord__class_Omax(V_y,V_z,T_a),T_a) = c_Orderings_Oord__class_Omax(V_y,c_Orderings_Oord__class_Omax(V_x,V_z,T_a),T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_min__max_Osup__assoc_0,axiom,
% 3.09/3.10 ( ~ class_Orderings_Olinorder(T_a)
% 3.09/3.10 | c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a) = c_Orderings_Oord__class_Omax(V_x,c_Orderings_Oord__class_Omax(V_y,V_z,T_a),T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_diff__minus__eq__add_0,axiom,
% 3.09/3.10 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 3.09/3.10 | c_HOL_Ominus__class_Ominus(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) = c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_mod__mult__self2_0,axiom,
% 3.09/3.10 ( ~ class_Divides_Osemiring__div(T_a)
% 3.09/3.10 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a,c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a),V_b,T_a) = c_Divides_Odiv__class_Omod(V_a,V_b,T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_mod__mult__self1_0,axiom,
% 3.09/3.10 ( ~ class_Divides_Osemiring__div(T_a)
% 3.09/3.10 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a,c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a),V_b,T_a) = c_Divides_Odiv__class_Omod(V_a,V_b,T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_dvd__mult__cancel__right_0,axiom,
% 3.09/3.10 ( ~ class_Ring__and__Field_Oidom(T_a)
% 3.09/3.10 | c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a)
% 3.09/3.10 | V_c = c_HOL_Ozero__class_Ozero(T_a)
% 3.09/3.10 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_dvd__mult__cancel__left_0,axiom,
% 3.09/3.10 ( ~ class_Ring__and__Field_Oidom(T_a)
% 3.09/3.10 | c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a)
% 3.09/3.10 | V_c = c_HOL_Ozero__class_Ozero(T_a)
% 3.09/3.10 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_le__divide__eq_9,axiom,
% 3.09/3.10 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 3.09/3.10 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 3.09/3.10 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 3.09/3.10 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 3.09/3.10 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a)
% 3.09/3.10 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_le__divide__eq_3,axiom,
% 3.09/3.10 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 3.09/3.10 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 3.09/3.10 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 3.09/3.10 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 3.09/3.10 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 3.09/3.10 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_le__divide__eq_2,axiom,
% 3.09/3.10 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 3.09/3.10 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 3.09/3.10 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 3.09/3.10 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 3.09/3.10 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 3.09/3.10 | ~ c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_divide__le__eq_9,axiom,
% 3.09/3.10 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 3.09/3.10 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 3.09/3.10 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a)
% 3.09/3.10 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 3.09/3.10 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a)
% 3.09/3.10 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_divide__le__eq_3,axiom,
% 3.09/3.10 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 3.09/3.10 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 3.09/3.10 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a)
% 3.09/3.10 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 3.09/3.10 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 3.09/3.10 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_divide__le__eq_2,axiom,
% 3.09/3.10 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 3.09/3.10 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 3.09/3.10 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 3.09/3.10 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 3.09/3.10 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 3.09/3.10 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_abs__diff__less__iff_2,axiom,
% 3.09/3.10 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 3.09/3.10 | c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(V_x,V_a,T_a),T_a),V_r,T_a)
% 3.09/3.10 | ~ c_HOL_Oord__class_Oless(V_x,c_HOL_Oplus__class_Oplus(V_a,V_r,T_a),T_a)
% 3.09/3.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_a,V_r,T_a),V_x,T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_minus__equation__iff_1,axiom,
% 3.09/3.10 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 3.09/3.10 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) = V_b ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_equation__minus__iff_1,axiom,
% 3.09/3.10 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 3.09/3.10 | V_a = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_equation__minus__iff_0,axiom,
% 3.09/3.10 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 3.09/3.10 | V_b = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_double__compl_0,axiom,
% 3.09/3.10 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 3.09/3.10 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_x,T_a),T_a) = V_x ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_minus__minus_0,axiom,
% 3.09/3.10 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 3.09/3.10 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) = V_a ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_minus__diff__eq_0,axiom,
% 3.09/3.10 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 3.09/3.10 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),T_a) = c_HOL_Ominus__class_Ominus(V_b,V_a,T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_add__less__le__mono_0,axiom,
% 3.09/3.10 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 3.09/3.10 | 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)
% 3.09/3.10 | ~ c_lessequals(V_c,V_d,T_a)
% 3.09/3.10 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_add__le__less__mono_0,axiom,
% 3.09/3.10 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 3.09/3.10 | 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)
% 3.09/3.10 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a)
% 3.09/3.10 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_minus__less__iff_1,axiom,
% 3.09/3.10 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 3.09/3.10 | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a)
% 3.09/3.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_minus__less__iff_0,axiom,
% 3.09/3.10 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 3.09/3.10 | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a)
% 3.09/3.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_less__minus__iff_1,axiom,
% 3.09/3.10 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 3.09/3.10 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a)
% 3.09/3.10 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_less__minus__iff_0,axiom,
% 3.09/3.10 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 3.09/3.10 | c_HOL_Oord__class_Oless(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
% 3.09/3.10 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_minus__le__iff_1,axiom,
% 3.09/3.10 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 3.09/3.10 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a)
% 3.09/3.10 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_minus__le__iff_0,axiom,
% 3.09/3.10 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 3.09/3.10 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a)
% 3.09/3.10 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_le__minus__iff_1,axiom,
% 3.09/3.10 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 3.09/3.10 | c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a)
% 3.09/3.10 | ~ c_lessequals(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_le__minus__iff_0,axiom,
% 3.09/3.10 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 3.09/3.10 | c_lessequals(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
% 3.09/3.10 | ~ c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_mult_Ozero__right_0,axiom,
% 3.09/3.10 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 3.09/3.10 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_mult__right_Ozero_0,axiom,
% 3.09/3.10 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 3.09/3.10 | c_HOL_Otimes__class_Otimes(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_class__semiring_Omul__0_0,axiom,
% 3.09/3.10 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 3.09/3.10 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_mult__zero__left_0,axiom,
% 3.09/3.10 ( ~ class_Ring__and__Field_Omult__zero(T_a)
% 3.09/3.10 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_mult__zero__right_0,axiom,
% 3.09/3.10 ( ~ class_Ring__and__Field_Omult__zero(T_a)
% 3.09/3.10 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_mult__eq__0__iff_1,axiom,
% 3.09/3.10 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(T_a)
% 3.09/3.10 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_mult__eq__0__iff_2,axiom,
% 3.09/3.10 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(T_a)
% 3.09/3.10 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_abs__mult__pos_0,axiom,
% 3.09/3.10 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 3.09/3.10 | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(V_y,T_a),V_x,T_a) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(V_y,V_x,T_a),T_a)
% 3.09/3.10 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_abs__dvd__iff_0,axiom,
% 3.09/3.10 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 3.09/3.10 | c_Ring__and__Field_Odvd__class_Odvd(V_m,V_k,T_a)
% 3.09/3.10 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oabs__class_Oabs(V_m,T_a),V_k,T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_abs__dvd__iff_1,axiom,
% 3.09/3.10 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 3.09/3.10 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oabs__class_Oabs(V_m,T_a),V_k,T_a)
% 3.09/3.10 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_m,V_k,T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_dvd__abs__iff_0,axiom,
% 3.09/3.10 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 3.09/3.10 | c_Ring__and__Field_Odvd__class_Odvd(V_m,V_k,T_a)
% 3.09/3.10 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_m,c_HOL_Oabs__class_Oabs(V_k,T_a),T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_dvd__abs__iff_1,axiom,
% 3.09/3.10 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 3.09/3.10 | c_Ring__and__Field_Odvd__class_Odvd(V_m,c_HOL_Oabs__class_Oabs(V_k,T_a),T_a)
% 3.09/3.10 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_m,V_k,T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_linorder__neq__iff_1,axiom,
% 3.09/3.10 ( ~ class_Orderings_Olinorder(T_a)
% 3.09/3.10 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_order__less__le_1,axiom,
% 3.09/3.10 ( ~ class_Orderings_Oorder(T_a)
% 3.09/3.10 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_order__less__irrefl_0,axiom,
% 3.09/3.10 ( ~ class_Orderings_Opreorder(T_a)
% 3.09/3.10 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_less__le__not__le_2,axiom,
% 3.09/3.10 ( ~ class_Orderings_Opreorder(T_a)
% 3.09/3.10 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 3.09/3.10 | c_lessequals(V_y,V_x,T_a)
% 3.09/3.10 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_sup__inf__absorb_0,axiom,
% 3.09/3.10 ( ~ class_Lattices_Olattice(T_a)
% 3.09/3.10 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),T_a) = V_x ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_add__pos__pos_0,axiom,
% 3.09/3.10 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 3.09/3.10 | 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)
% 3.09/3.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 3.09/3.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_mod__diff__cong_0,axiom,
% 3.09/3.10 ( ~ class_Divides_Oring__div(T_a)
% 3.09/3.10 | c_Divides_Odiv__class_Omod(V_b,V_c,T_a) != c_Divides_Odiv__class_Omod(V_b_H,V_c,T_a)
% 3.09/3.10 | c_Divides_Odiv__class_Omod(V_a,V_c,T_a) != c_Divides_Odiv__class_Omod(V_a_H,V_c,T_a)
% 3.09/3.10 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(V_a_H,V_b_H,T_a),V_c,T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_le__iff__diff__le__0_0,axiom,
% 3.09/3.10 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 3.09/3.10 | c_lessequals(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 3.09/3.10 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_le__iff__diff__le__0_1,axiom,
% 3.09/3.10 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 3.09/3.10 | c_lessequals(V_a,V_b,T_a)
% 3.09/3.10 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_order__le__less_1,axiom,
% 3.09/3.10 ( ~ class_Orderings_Oorder(T_a)
% 3.09/3.10 | c_lessequals(V_x,V_y,T_a)
% 3.09/3.10 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_order__less__imp__le_0,axiom,
% 3.09/3.10 ( ~ class_Orderings_Opreorder(T_a)
% 3.09/3.10 | c_lessequals(V_x,V_y,T_a)
% 3.09/3.10 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_le__iff__sup_0,axiom,
% 3.09/3.10 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 3.09/3.10 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = V_y
% 3.09/3.10 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_le__iff__sup_1,axiom,
% 3.09/3.10 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 3.09/3.10 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) != V_y
% 3.09/3.10 | c_lessequals(V_x,V_y,T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_sup__absorb1_0,axiom,
% 3.09/3.10 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 3.09/3.10 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = V_x
% 3.09/3.10 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_zero__le__divide__iff_4,axiom,
% 3.09/3.10 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 3.09/3.10 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 3.09/3.10 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a)
% 3.09/3.10 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 3.09/3.10 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_zero__le__divide__iff_5,axiom,
% 3.09/3.10 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 3.09/3.10 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 3.09/3.10 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a)
% 3.09/3.10 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 3.09/3.10 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_frac__le_0,axiom,
% 3.09/3.10 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 3.09/3.10 | 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)
% 3.09/3.10 | ~ c_lessequals(V_w,V_z,T_a)
% 3.09/3.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_w,T_a)
% 3.09/3.10 | ~ c_lessequals(V_x,V_y,T_a)
% 3.09/3.10 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_less__iff__diff__less__0_0,axiom,
% 3.09/3.10 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 3.09/3.10 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 3.09/3.10 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_less__iff__diff__less__0_1,axiom,
% 3.09/3.10 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 3.09/3.10 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 3.09/3.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_abs__not__less__zero_0,axiom,
% 3.09/3.10 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 3.09/3.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_divide__strict__left__mono_0,axiom,
% 3.09/3.10 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 3.09/3.10 | 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)
% 3.09/3.10 | ~ 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)
% 3.09/3.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 3.09/3.10 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_divide__strict__left__mono__neg_0,axiom,
% 3.09/3.10 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 3.09/3.10 | 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)
% 3.09/3.10 | ~ 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)
% 3.09/3.10 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 3.09/3.10 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_neg__0__equal__iff__equal_1,axiom,
% 3.09/3.10 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 3.09/3.10 | c_HOL_Ozero__class_Ozero(T_a) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_mult__le__less__imp__less_0,axiom,
% 3.09/3.10 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 3.09/3.10 | 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)
% 3.09/3.10 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 3.09/3.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 3.09/3.10 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a)
% 3.09/3.10 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_mult__less__le__imp__less_0,axiom,
% 3.09/3.10 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 3.09/3.10 | 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)
% 3.09/3.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 3.09/3.10 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 3.09/3.10 | ~ c_lessequals(V_c,V_d,T_a)
% 3.09/3.10 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_complex__cnj__cancel__iff_0,axiom,
% 3.09/3.10 ( c_Complex_Ocnj(V_x) != c_Complex_Ocnj(V_y)
% 3.09/3.10 | V_x = V_y ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_minus__mult__commute_0,axiom,
% 3.09/3.10 ( ~ class_Ring__and__Field_Oring(T_a)
% 3.09/3.10 | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) = c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_abs__triangle__ineq4_0,axiom,
% 3.09/3.10 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 3.09/3.10 | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),T_a),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a),T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_minus__zero_0,axiom,
% 3.09/3.10 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 3.09/3.10 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_neg__equal__zero_1,axiom,
% 3.09/3.10 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a)
% 3.09/3.10 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_inf__sup__aci_I4_J_0,axiom,
% 3.09/3.10 ( ~ class_Lattices_Olattice(T_a)
% 3.09/3.10 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_inf__left__idem_0,axiom,
% 3.09/3.10 ( ~ class_Lattices_Olower__semilattice(T_a)
% 3.09/3.10 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_mod__mod__cancel_0,axiom,
% 3.09/3.10 ( ~ class_Divides_Osemiring__div(T_a)
% 3.09/3.10 | c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(V_a,V_c,T_a)
% 3.09/3.10 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_c,V_b,T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_double__add__le__zero__iff__single__add__le__zero_0,axiom,
% 3.09/3.10 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 3.09/3.10 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 3.09/3.10 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_double__add__le__zero__iff__single__add__le__zero_1,axiom,
% 3.09/3.10 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 3.09/3.10 | c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 3.09/3.10 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_abs__if__lattice_1,axiom,
% 3.09/3.10 ( ~ class_Orderings_Olinorder(T_a)
% 3.09/3.10 | ~ class_OrderedGroup_Olordered__ab__group__add__abs(T_a)
% 3.09/3.10 | c_HOL_Oabs__class_Oabs(V_a,T_a) = V_a
% 3.09/3.10 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_abs__if_1,axiom,
% 3.09/3.10 ( ~ class_Ring__and__Field_Oabs__if(T_a)
% 3.09/3.10 | c_HOL_Oabs__class_Oabs(V_a,T_a) = V_a
% 3.09/3.10 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_Lim_Ominus__diff__minus_0,axiom,
% 3.09/3.10 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 3.09/3.10 | c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_mult__dvd__mono_0,axiom,
% 3.09/3.10 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 3.09/3.10 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_d,T_a),T_a)
% 3.09/3.10 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_c,V_d,T_a)
% 3.09/3.10 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_divide__le__eq_1,axiom,
% 3.09/3.10 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 3.09/3.10 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 3.09/3.10 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a)
% 3.09/3.10 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 3.09/3.10 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 3.09/3.10 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_divide__le__eq_4,axiom,
% 3.09/3.10 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 3.09/3.10 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 3.09/3.10 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a)
% 3.09/3.10 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 3.09/3.10 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a)
% 3.09/3.10 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_le__divide__eq_1,axiom,
% 3.09/3.10 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 3.09/3.10 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 3.09/3.10 | c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a)
% 3.09/3.10 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 3.09/3.10 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 3.09/3.10 | ~ c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_le__divide__eq_4,axiom,
% 3.09/3.10 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 3.09/3.10 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 3.09/3.10 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 3.09/3.10 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 3.09/3.10 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a)
% 3.09/3.10 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_abs__eq__0_0,axiom,
% 3.09/3.10 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 3.09/3.10 | c_HOL_Oabs__class_Oabs(V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 3.09/3.10 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_inf__idem_0,axiom,
% 3.09/3.10 ( ~ class_Lattices_Olower__semilattice(T_a)
% 3.09/3.10 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_x,T_a) = V_x ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_zero__less__abs__iff_0,axiom,
% 3.09/3.10 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 3.09/3.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(T_a),T_a),T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_divide__neg__pos_0,axiom,
% 3.09/3.10 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 3.09/3.10 | 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)
% 3.09/3.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)
% 3.09/3.10 | ~ c_HOL_Oord__class_Oless(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_divide__pos__neg_0,axiom,
% 3.09/3.10 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 3.09/3.10 | 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)
% 3.09/3.10 | ~ c_HOL_Oord__class_Oless(V_y,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 3.09/3.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_divide__less__0__iff_4,axiom,
% 3.09/3.10 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 3.09/3.10 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 3.09/3.10 | 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)
% 3.09/3.10 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 3.09/3.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_divide__less__0__iff_5,axiom,
% 3.09/3.10 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 3.09/3.10 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 3.09/3.10 | 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)
% 3.09/3.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 3.09/3.10 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_order__eq__refl_0,axiom,
% 3.09/3.10 ( ~ class_Orderings_Opreorder(T_a)
% 3.09/3.10 | c_lessequals(V_x,V_x,T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_order__eq__iff_0,axiom,
% 3.09/3.10 ( ~ class_Orderings_Oorder(T_a)
% 3.09/3.10 | c_lessequals(V_x,V_x,T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_order__le__less__trans_0,axiom,
% 3.09/3.10 ( ~ class_Orderings_Opreorder(T_a)
% 3.09/3.10 | c_HOL_Oord__class_Oless(V_x,V_z,T_a)
% 3.09/3.10 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a)
% 3.09/3.10 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_order__less__le__trans_0,axiom,
% 3.09/3.10 ( ~ class_Orderings_Opreorder(T_a)
% 3.09/3.10 | c_HOL_Oord__class_Oless(V_x,V_z,T_a)
% 3.09/3.10 | ~ c_lessequals(V_y,V_z,T_a)
% 3.09/3.10 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_order__trans_0,axiom,
% 3.09/3.10 ( ~ class_Orderings_Opreorder(T_a)
% 3.09/3.10 | c_lessequals(V_x,V_z,T_a)
% 3.09/3.10 | ~ c_lessequals(V_y,V_z,T_a)
% 3.09/3.10 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_add__nonpos__nonpos_0,axiom,
% 3.09/3.10 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 3.09/3.10 | c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 3.09/3.10 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 3.09/3.10 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_xt1_I8_J_0,axiom,
% 3.09/3.10 ( ~ class_Orderings_Oorder(T_a)
% 3.09/3.10 | c_HOL_Oord__class_Oless(V_z,V_x,T_a)
% 3.09/3.10 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a)
% 3.09/3.10 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_xt1_I7_J_0,axiom,
% 3.09/3.10 ( ~ class_Orderings_Oorder(T_a)
% 3.09/3.10 | c_HOL_Oord__class_Oless(V_z,V_x,T_a)
% 3.09/3.10 | ~ c_lessequals(V_z,V_y,T_a)
% 3.09/3.10 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_xt1_I6_J_0,axiom,
% 3.09/3.10 ( ~ class_Orderings_Oorder(T_a)
% 3.09/3.10 | c_lessequals(V_z,V_x,T_a)
% 3.09/3.10 | ~ c_lessequals(V_z,V_y,T_a)
% 3.09/3.10 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_mod__mult__self1__is__0_0,axiom,
% 3.09/3.10 ( ~ class_Divides_Osemiring__div(T_a)
% 3.09/3.10 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(V_b,V_a,T_a),V_b,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_mod__mult__self2__is__0_0,axiom,
% 3.09/3.10 ( ~ class_Divides_Osemiring__div(T_a)
% 3.09/3.10 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_b,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_scaleR__cancel__right_1,axiom,
% 3.09/3.10 ( ~ class_RealVector_Oreal__vector(T_a)
% 3.09/3.10 | c_RealVector_OscaleR__class_OscaleR(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_RealVector_OscaleR__class_OscaleR(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_scaleR__cancel__right_0,axiom,
% 3.09/3.10 ( ~ class_RealVector_Oreal__vector(T_a)
% 3.09/3.10 | c_RealVector_OscaleR__class_OscaleR(V_a,V_x,T_a) != c_RealVector_OscaleR__class_OscaleR(V_b,V_x,T_a)
% 3.09/3.10 | V_x = c_HOL_Ozero__class_Ozero(T_a)
% 3.09/3.10 | V_a = V_b ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_sum__squares__eq__zero__iff_2,axiom,
% 3.09/3.10 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 3.09/3.10 | 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) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_mult__less__cancel__left__disj_1,axiom,
% 3.09/3.10 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 3.09/3.10 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 3.09/3.10 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 3.09/3.10 | ~ 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) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_mult__less__cancel__left__disj_2,axiom,
% 3.09/3.10 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 3.09/3.10 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 3.09/3.10 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 3.09/3.10 | ~ 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) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_mult__less__cancel__right__disj_1,axiom,
% 3.09/3.10 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 3.09/3.10 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 3.09/3.10 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 3.09/3.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_mult__less__cancel__right__disj_2,axiom,
% 3.09/3.10 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 3.09/3.10 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 3.09/3.10 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 3.09/3.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_abs__diff__less__iff_1,axiom,
% 3.09/3.10 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 3.09/3.10 | c_HOL_Oord__class_Oless(V_x,c_HOL_Oplus__class_Oplus(V_a,V_r,T_a),T_a)
% 3.09/3.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(V_x,V_a,T_a),T_a),V_r,T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_eq__divide__eq_2,axiom,
% 3.09/3.10 ( ~ class_Ring__and__Field_Ofield(T_a)
% 3.09/3.10 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 3.09/3.10 | c_HOL_Ozero__class_Ozero(T_a) = c_HOL_Oinverse__class_Odivide(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_min__max_Odistrib__sup__le_0,axiom,
% 3.09/3.10 ( ~ class_Orderings_Olinorder(T_a)
% 3.09/3.10 | c_lessequals(c_Orderings_Oord__class_Omax(V_x,c_Orderings_Oord__class_Omin(V_y,V_z,T_a),T_a),c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),c_Orderings_Oord__class_Omax(V_x,V_z,T_a),T_a),T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_sup__eq__neg__inf_0,axiom,
% 3.09/3.10 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 3.09/3.10 | c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a) = c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a),T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_neg__0__less__iff__less_0,axiom,
% 3.09/3.10 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 3.09/3.10 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 3.09/3.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_neg__0__less__iff__less_1,axiom,
% 3.09/3.10 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 3.09/3.10 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
% 3.09/3.10 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_frac__eq__eq_0,axiom,
% 3.09/3.10 ( ~ class_Ring__and__Field_Ofield(T_a)
% 3.09/3.10 | c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a) != c_HOL_Oinverse__class_Odivide(V_w,V_z,T_a)
% 3.09/3.10 | V_z = c_HOL_Ozero__class_Ozero(T_a)
% 3.09/3.10 | V_y = c_HOL_Ozero__class_Ozero(T_a)
% 3.09/3.10 | c_HOL_Otimes__class_Otimes(V_x,V_z,T_a) = c_HOL_Otimes__class_Otimes(V_w,V_y,T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_frac__eq__eq_1,axiom,
% 3.09/3.10 ( ~ class_Ring__and__Field_Ofield(T_a)
% 3.09/3.10 | c_HOL_Otimes__class_Otimes(V_x,V_z,T_a) != c_HOL_Otimes__class_Otimes(V_w,V_y,T_a)
% 3.09/3.10 | V_z = c_HOL_Ozero__class_Ozero(T_a)
% 3.09/3.10 | V_y = c_HOL_Ozero__class_Ozero(T_a)
% 3.09/3.10 | c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a) = c_HOL_Oinverse__class_Odivide(V_w,V_z,T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_mod__mult__mult1_0,axiom,
% 3.09/3.10 ( ~ class_Divides_Osemiring__div(T_a)
% 3.09/3.10 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) = c_HOL_Otimes__class_Otimes(V_c,c_Divides_Odiv__class_Omod(V_a,V_b,T_a),T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_mod__mult__mult2_0,axiom,
% 3.09/3.10 ( ~ class_Divides_Osemiring__div(T_a)
% 3.09/3.10 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(V_a,V_b,T_a),V_c,T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_less__minus__self__iff_0,axiom,
% 3.09/3.10 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 3.09/3.10 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 3.09/3.10 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_less__minus__self__iff_1,axiom,
% 3.09/3.10 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 3.09/3.10 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
% 3.09/3.10 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_abs__ge__zero_0,axiom,
% 3.09/3.10 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 3.09/3.10 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oabs__class_Oabs(V_a,T_a),T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_divide__eq__eq_4,axiom,
% 3.09/3.10 ( ~ class_Ring__and__Field_Ofield(T_a)
% 3.09/3.10 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 3.09/3.10 | 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) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_dvd__if__abs__eq_0,axiom,
% 3.09/3.10 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 3.09/3.10 | c_HOL_Oabs__class_Oabs(V_l,T_a) != c_HOL_Oabs__class_Oabs(V_k,T_a)
% 3.09/3.10 | c_Ring__and__Field_Odvd__class_Odvd(V_l,V_k,T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_order__less__asym_H_0,axiom,
% 3.09/3.10 ( ~ class_Orderings_Opreorder(T_a)
% 3.09/3.10 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 3.09/3.10 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_order__less__asym_0,axiom,
% 3.09/3.10 ( ~ class_Orderings_Opreorder(T_a)
% 3.09/3.10 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 3.09/3.10 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_linorder__linear_0,axiom,
% 3.09/3.10 ( ~ class_Orderings_Olinorder(T_a)
% 3.09/3.10 | c_lessequals(V_y,V_x,T_a)
% 3.09/3.10 | c_lessequals(V_x,V_y,T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_not__less__iff__gr__or__eq_1,axiom,
% 3.09/3.10 ( ~ class_Orderings_Olinorder(T_a)
% 3.09/3.10 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 3.09/3.10 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_xt1_I9_J_0,axiom,
% 3.09/3.10 ( ~ class_Orderings_Oorder(T_a)
% 3.09/3.10 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 3.09/3.10 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_minus__add__distrib_0,axiom,
% 3.09/3.10 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 3.09/3.10 | c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_minus__add_0,axiom,
% 3.09/3.10 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 3.09/3.10 | c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_poly__pCons_0,axiom,
% 3.09/3.10 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a)
% 3.09/3.10 | c_Polynomial_Opoly(c_Polynomial_OpCons(V_a,V_p,T_a),V_x,T_a) = c_HOL_Oplus__class_Oplus(V_a,c_HOL_Otimes__class_Otimes(V_x,c_Polynomial_Opoly(V_p,V_x,T_a),T_a),T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_le__add__right__mono_0,axiom,
% 3.09/3.10 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 3.09/3.10 | c_lessequals(V_a,c_HOL_Oplus__class_Oplus(V_b,V_d,T_a),T_a)
% 3.09/3.10 | ~ c_lessequals(V_c,V_d,T_a)
% 3.09/3.10 | ~ c_lessequals(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_add__strict__right__mono_0,axiom,
% 3.09/3.10 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 3.09/3.10 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a)
% 3.09/3.10 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_add__less__cancel__right_1,axiom,
% 3.09/3.10 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 3.09/3.10 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a)
% 3.09/3.10 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_add__less__cancel__right_0,axiom,
% 3.09/3.10 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 3.09/3.10 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 3.09/3.10 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_add__strict__left__mono_0,axiom,
% 3.09/3.10 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 3.09/3.10 | 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)
% 3.09/3.10 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_add__less__cancel__left_1,axiom,
% 3.09/3.10 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 3.09/3.10 | 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)
% 3.09/3.10 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_add__less__cancel__left_0,axiom,
% 3.09/3.10 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 3.09/3.10 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 3.09/3.10 | ~ 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) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_abs__add__abs_0,axiom,
% 3.09/3.10 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 3.09/3.10 | c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_poly__offset_1,axiom,
% 3.09/3.10 c_Polynomial_Opoly(v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__offset__1(V_a,V_p),V_q,tc_Complex_Ocomplex) = c_Polynomial_Opoly(V_p,c_HOL_Oplus__class_Oplus(V_a,V_q,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_minus__add__cancel_0,axiom,
% 3.09/3.10 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 3.09/3.10 | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a) = V_b ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_add__cancel__end_1,axiom,
% 3.09/3.10 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 3.09/3.10 | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_z,T_a),c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a) = V_y ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_add__strict__mono_0,axiom,
% 3.09/3.10 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 3.09/3.10 | 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)
% 3.09/3.10 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a)
% 3.09/3.10 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 3.09/3.10
% 3.09/3.10 cnf(cls_class__ringb_Oadd__mul__solve_0,axiom,
% 3.09/3.10 ( ~ class_Ring__and__Field_Oidom(T_a)
% 3.09/3.10 | ~ class_Int_Onumber__ring(T_a)
% 3.09/3.10 | 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)
% 3.09/3.10 | V_y = V_z
% 3.09/3.10 | V_w = V_x ) ).
% 3.09/3.11
% 3.09/3.11 cnf(cls_class__ringb_Onoteq__reduce_0,axiom,
% 3.09/3.11 ( ~ class_Ring__and__Field_Oidom(T_a)
% 3.09/3.11 | ~ class_Int_Onumber__ring(T_a)
% 3.09/3.11 | 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)
% 3.09/3.11 | V_c = V_d
% 3.09/3.11 | V_a = V_b ) ).
% 3.09/3.11
% 3.09/3.11 cnf(cls_mod__add__cong_0,axiom,
% 3.09/3.11 ( ~ class_Divides_Osemiring__div(T_a)
% 3.09/3.11 | c_Divides_Odiv__class_Omod(V_b,V_c,T_a) != c_Divides_Odiv__class_Omod(V_b_H,V_c,T_a)
% 3.09/3.11 | c_Divides_Odiv__class_Omod(V_a,V_c,T_a) != c_Divides_Odiv__class_Omod(V_a_H,V_c,T_a)
% 3.09/3.11 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a_H,V_b_H,T_a),V_c,T_a) ) ).
% 3.09/3.11
% 3.09/3.11 cnf(cls_comm__monoid__add_Omult__commute_0,axiom,
% 3.09/3.11 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 3.09/3.11 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) = c_HOL_Oplus__class_Oplus(V_b,V_a,T_a) ) ).
% 3.09/3.11
% 3.09/3.11 cnf(cls_class__semiring_Oadd__c_0,axiom,
% 3.09/3.11 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 3.09/3.11 | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) = c_HOL_Oplus__class_Oplus(V_y,V_x,T_a) ) ).
% 3.09/3.11
% 3.09/3.11 cnf(cls_class__semiring_Osemiring__rules_I24_J_0,axiom,
% 3.09/3.11 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 3.09/3.11 | c_HOL_Oplus__class_Oplus(V_a,V_c,T_a) = c_HOL_Oplus__class_Oplus(V_c,V_a,T_a) ) ).
% 3.09/3.11
% 3.09/3.11 cnf(cls_poly__add_0,axiom,
% 3.09/3.11 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a)
% 3.09/3.11 | c_Polynomial_Opoly(c_HOL_Oplus__class_Oplus(V_p,V_q,tc_Polynomial_Opoly(T_a)),V_x,T_a) = c_HOL_Oplus__class_Oplus(c_Polynomial_Opoly(V_p,V_x,T_a),c_Polynomial_Opoly(V_q,V_x,T_a),T_a) ) ).
% 3.09/3.11
% 3.09/3.11 cnf(cls_poly__pcompose_0,axiom,
% 3.09/3.11 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a)
% 3.09/3.11 | c_Polynomial_Opoly(c_Polynomial_Opcompose(V_p,V_q,T_a),V_x,T_a) = c_Polynomial_Opoly(V_p,c_Polynomial_Opoly(V_q,V_x,T_a),T_a) ) ).
% 3.09/3.11
% 3.09/3.11 cnf(cls_add__mono_0,axiom,
% 3.09/3.11 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a)
% 3.09/3.11 | 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)
% 3.09/3.11 | ~ c_lessequals(V_c,V_d,T_a)
% 3.09/3.11 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 3.09/3.11
% 3.09/3.11 cnf(cls_add__cancel__21_0,axiom,
% 3.09/3.11 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 3.09/3.11 | 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)
% 3.09/3.11 | c_HOL_Oplus__class_Oplus(V_x,V_z,T_a) = V_u ) ).
% 3.09/3.11
% 3.09/3.11 cnf(cls_add__inf__distrib__right_0,axiom,
% 3.09/3.11 ( ~ class_OrderedGroup_Olordered__ab__group__add__meet(T_a)
% 3.09/3.11 | c_HOL_Oplus__class_Oplus(c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),V_c,T_a) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) ) ).
% 3.09/3.11
% 3.09/3.11 cnf(cls_add__inf__distrib__left_0,axiom,
% 3.09/3.11 ( ~ class_OrderedGroup_Olordered__ab__group__add__meet(T_a)
% 3.09/3.11 | c_HOL_Oplus__class_Oplus(V_a,c_Lattices_Olower__semilattice__class_Oinf(V_b,V_c,T_a),T_a) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a) ) ).
% 3.09/3.11
% 3.09/3.11 cnf(cls_lordered__ab__group__add__class_Oadd__sup__inf__distribs_I2_J_0,axiom,
% 3.09/3.11 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 3.09/3.11 | c_HOL_Oplus__class_Oplus(V_a,c_Lattices_Olower__semilattice__class_Oinf(V_b,V_c,T_a),T_a) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a) ) ).
% 3.09/3.11
% 3.09/3.11 cnf(cls_lordered__ab__group__add__class_Oadd__sup__inf__distribs_I1_J_0,axiom,
% 3.09/3.11 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 3.09/3.11 | c_HOL_Oplus__class_Oplus(c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),V_c,T_a) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) ) ).
% 3.09/3.11
% 3.09/3.11 cnf(cls_add__right__cancel_0,axiom,
% 3.09/3.11 ( ~ class_OrderedGroup_Ocancel__semigroup__add(T_a)
% 3.09/3.11 | c_HOL_Oplus__class_Oplus(V_b,V_a,T_a) != c_HOL_Oplus__class_Oplus(V_c,V_a,T_a)
% 3.09/3.11 | V_b = V_c ) ).
% 3.09/3.11
% 3.09/3.11 cnf(cls_add__left__cancel_0,axiom,
% 3.09/3.11 ( ~ class_OrderedGroup_Ocancel__semigroup__add(T_a)
% 3.09/3.11 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) != c_HOL_Oplus__class_Oplus(V_a,V_c,T_a)
% 3.09/3.11 | V_b = V_c ) ).
% 3.09/3.11
% 3.09/3.11 cnf(cls_add__imp__eq_0,axiom,
% 3.09/3.11 ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(T_a)
% 3.09/3.11 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) != c_HOL_Oplus__class_Oplus(V_a,V_c,T_a)
% 3.09/3.11 | V_b = V_c ) ).
% 3.09/3.11
% 3.09/3.11 cnf(cls_class__ringb_Oadd__cancel_0,axiom,
% 3.09/3.11 ( ~ class_Ring__and__Field_Oidom(T_a)
% 3.09/3.11 | ~ class_Int_Onumber__ring(T_a)
% 3.09/3.11 | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) != c_HOL_Oplus__class_Oplus(V_x,V_z,T_a)
% 3.09/3.11 | V_y = V_z ) ).
% 3.09/3.11
% 3.09/3.11 cnf(cls_min__add__distrib__left_0,axiom,
% 3.09/3.11 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 3.09/3.11 | c_HOL_Oplus__class_Oplus(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a) = c_Orderings_Oord__class_Omin(c_HOL_Oplus__class_Oplus(V_x,V_z,T_a),c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a) ) ).
% 3.09/3.11
% 3.09/3.11 cnf(cls_class__semiring_Osemiring__rules_I20_J_0,axiom,
% 3.09/3.11 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 3.09/3.11 | 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) ) ).
% 3.09/3.11
% 3.09/3.11 cnf(cls_dvd__add_0,axiom,
% 3.09/3.11 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 3.09/3.11 | c_Ring__and__Field_Odvd__class_Odvd(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a)
% 3.09/3.11 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_c,T_a)
% 3.09/3.11 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ).
% 3.09/3.11
% 3.09/3.11 cnf(cls_max__add__distrib__left_0,axiom,
% 3.09/3.11 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 3.09/3.11 | c_HOL_Oplus__class_Oplus(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a) = c_Orderings_Oord__class_Omax(c_HOL_Oplus__class_Oplus(V_x,V_z,T_a),c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a) ) ).
% 3.09/3.11
% 3.09/3.11 cnf(cls_class__semiring_Osemiring__rules_I1_J_0,axiom,
% 3.09/3.11 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 3.09/3.11 | 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) ) ).
% 3.09/3.11
% 3.09/3.11 cnf(cls_comm__semiring__class_Odistrib_0,axiom,
% 3.09/3.11 ( ~ class_Ring__and__Field_Ocomm__semiring(T_a)
% 3.09/3.11 | 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) ) ).
% 3.09/3.11
% 3.09/3.11 cnf(cls_class__semiring_Omul__d_0,axiom,
% 3.09/3.11 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 3.09/3.11 | 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) ) ).
% 3.09/3.11
% 3.09/3.11 cnf(cls_mult_Oadd__left_0,axiom,
% 3.09/3.11 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 3.09/3.11 | 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) ) ).
% 3.09/3.11
% 3.09/3.11 cnf(cls_mult__left_Oadd_0,axiom,
% 3.09/3.11 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 3.09/3.11 | 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) ) ).
% 3.09/3.11
% 3.09/3.11 cnf(cls_mult_Oadd__right_0,axiom,
% 3.09/3.11 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 3.09/3.11 | 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) ) ).
% 3.09/3.11
% 3.09/3.11 cnf(cls_mult__right_Oadd_0,axiom,
% 3.09/3.11 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 3.09/3.11 | 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) ) ).
% 3.09/3.11
% 3.09/3.11 cnf(cls_class__semiring_Osemiring__rules_I8_J_0,axiom,
% 3.09/3.11 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 3.09/3.11 | 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) ) ).
% 3.09/3.11
% 3.09/3.11 cnf(cls_zmod__simps_I1_J_0,axiom,
% 3.09/3.11 ( ~ class_Divides_Osemiring__div(T_a)
% 3.09/3.11 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(V_a,V_c,T_a),V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) ) ).
% 3.09/3.11
% 3.09/3.11 cnf(cls_zmod__simps_I2_J_0,axiom,
% 3.09/3.11 ( ~ class_Divides_Osemiring__div(T_a)
% 3.09/3.11 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a,c_Divides_Odiv__class_Omod(V_b,V_c,T_a),T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) ) ).
% 3.09/3.11
% 3.09/3.11 cnf(cls_cnj_Oadd_0,axiom,
% 3.09/3.11 c_Complex_Ocnj(c_HOL_Oplus__class_Oplus(V_x,V_y,tc_Complex_Ocomplex)) = c_HOL_Oplus__class_Oplus(c_Complex_Ocnj(V_x),c_Complex_Ocnj(V_y),tc_Complex_Ocomplex) ).
% 3.09/3.11
% 3.09/3.11 cnf(cls_degree__minus_0,axiom,
% 3.09/3.11 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 3.09/3.11 | c_Polynomial_Odegree(c_HOL_Ouminus__class_Ouminus(V_p,tc_Polynomial_Opoly(T_a)),T_a) = c_Polynomial_Odegree(V_p,T_a) ) ).
% 3.09/3.11
% 3.09/3.11 cnf(cls_add__minus__cancel_0,axiom,
% 3.09/3.11 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 3.09/3.11 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a),T_a) = V_b ) ).
% 3.09/3.11
% 3.09/3.11 cnf(cls_mod__add__self2_0,axiom,
% 3.09/3.11 ( ~ class_Divides_Osemiring__div(T_a)
% 3.09/3.11 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_b,T_a) = c_Divides_Odiv__class_Omod(V_a,V_b,T_a) ) ).
% 3.09/3.11
% 3.09/3.11 cnf(cls_mod__add__self1_0,axiom,
% 3.09/3.11 ( ~ class_Divides_Osemiring__div(T_a)
% 3.09/3.11 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_b,V_a,T_a),V_b,T_a) = c_Divides_Odiv__class_Omod(V_a,V_b,T_a) ) ).
% 3.09/3.11
% 3.09/3.11 cnf(cls_add__le__cancel__right_1,axiom,
% 3.09/3.11 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 3.09/3.11 | 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)
% 3.09/3.11 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 3.09/3.11
% 3.09/3.11 cnf(cls_add__le__cancel__right_0,axiom,
% 3.09/3.11 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 3.09/3.11 | c_lessequals(V_a,V_b,T_a)
% 3.09/3.11 | ~ 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) ) ).
% 3.09/3.11
% 3.09/3.11 cnf(cls_add__le__cancel__left_1,axiom,
% 3.09/3.11 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 3.09/3.11 | 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)
% 3.09/3.11 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 3.09/3.11
% 3.09/3.11 cnf(cls_add__le__cancel__left_0,axiom,
% 3.09/3.11 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 3.09/3.11 | c_lessequals(V_a,V_b,T_a)
% 3.09/3.11 | ~ 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) ) ).
% 3.09/3.11
% 3.09/3.11 cnf(cls_add__right__mono_0,axiom,
% 3.09/3.11 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a)
% 3.09/3.11 | 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)
% 3.09/3.11 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 3.09/3.11
% 3.09/3.11 cnf(cls_add__left__mono_0,axiom,
% 3.09/3.11 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a)
% 3.09/3.11 | 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)
% 3.09/3.11 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 3.09/3.11
% 3.09/3.11 cnf(cls_double__eq__0__iff_0,axiom,
% 3.09/3.11 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 3.09/3.11 | c_HOL_Oplus__class_Oplus(V_a,V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 3.09/3.11 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 3.09/3.11
% 3.09/3.11 cnf(cls_class__ringb_Oadd__r0__iff_0,axiom,
% 3.09/3.11 ( ~ class_Ring__and__Field_Oidom(T_a)
% 3.09/3.11 | ~ class_Int_Onumber__ring(T_a)
% 3.09/3.11 | V_x != c_HOL_Oplus__class_Oplus(V_x,V_a,T_a)
% 3.09/3.11 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 3.09/3.11
% 3.09/3.11 cnf(cls_poly__offset__poly_0,axiom,
% 3.09/3.11 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a)
% 3.09/3.11 | c_Polynomial_Opoly(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(V_p,V_h,T_a),V_x,T_a) = c_Polynomial_Opoly(V_p,c_HOL_Oplus__class_Oplus(V_h,V_x,T_a),T_a) ) ).
% 3.09/3.11
% 3.09/3.11 cnf(cls_degree__offset__poly_0,axiom,
% 3.09/3.11 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a)
% 3.09/3.11 | c_Polynomial_Odegree(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(V_p,V_h,T_a),T_a) = c_Polynomial_Odegree(V_p,T_a) ) ).
% 3.09/3.11
% 3.09/3.11 cnf(cls_class__ringb_Oadd__mul__solve_1,axiom,
% 3.09/3.11 ( ~ class_Ring__and__Field_Oidom(T_a)
% 3.09/3.11 | ~ class_Int_Onumber__ring(T_a)
% 3.09/3.11 | 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) ) ).
% 3.09/3.11
% 3.09/3.11 cnf(cls_class__ringb_Onoteq__reduce_1,axiom,
% 3.09/3.11 ( ~ class_Ring__and__Field_Oidom(T_a)
% 3.09/3.11 | ~ class_Int_Onumber__ring(T_a)
% 3.09/3.11 | 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) ) ).
% 3.09/3.11
% 3.09/3.11 cnf(cls_diff__add__cancel_0,axiom,
% 3.09/3.11 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 3.09/3.11 | c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_b,T_a) = V_a ) ).
% 3.09/3.11
% 3.09/3.11 cnf(cls_double__eq__0__iff_1,axiom,
% 3.09/3.11 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 3.09/3.11 | 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) ) ).
% 3.09/3.11
% 3.09/3.11 cnf(cls_mod__add__eq_0,axiom,
% 3.09/3.11 ( ~ class_Divides_Osemiring__div(T_a)
% 3.09/3.11 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(V_a,V_c,T_a),c_Divides_Odiv__class_Omod(V_b,V_c,T_a),T_a),V_c,T_a) ) ).
% 3.09/3.11
% 3.09/3.11 cnf(cls_add__sup__distrib__right_0,axiom,
% 3.09/3.11 ( ~ class_OrderedGroup_Olordered__ab__group__add__join(T_a)
% 3.09/3.11 | c_HOL_Oplus__class_Oplus(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_c,T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) ) ).
% 3.09/3.11
% 3.09/3.11 cnf(cls_add__sup__distrib__left_0,axiom,
% 3.09/3.11 ( ~ class_OrderedGroup_Olordered__ab__group__add__join(T_a)
% 3.09/3.11 | c_HOL_Oplus__class_Oplus(V_a,c_Lattices_Oupper__semilattice__class_Osup(V_b,V_c,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a) ) ).
% 3.09/3.11
% 3.09/3.11 cnf(cls_lordered__ab__group__add__class_Oadd__sup__inf__distribs_I4_J_0,axiom,
% 3.09/3.11 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 3.09/3.11 | c_HOL_Oplus__class_Oplus(V_a,c_Lattices_Oupper__semilattice__class_Osup(V_b,V_c,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a) ) ).
% 3.09/3.11
% 3.09/3.11 cnf(cls_lordered__ab__group__add__class_Oadd__sup__inf__distribs_I3_J_0,axiom,
% 3.09/3.11 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 3.09/3.11 | c_HOL_Oplus__class_Oplus(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_c,T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) ) ).
% 3.09/3.11
% 3.09/3.11 cnf(cls_comm__monoid__add_Omult__left__commute_0,axiom,
% 3.09/3.11 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 3.09/3.11 | 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) ) ).
% 3.09/3.11
% 3.09/3.11 cnf(cls_comm__monoid__add_Omult__assoc_0,axiom,
% 3.09/3.11 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 3.09/3.11 | 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) ) ).
% 3.09/3.11
% 3.09/3.11 cnf(cls_class__semiring_Oadd__a_0,axiom,
% 3.09/3.11 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 3.09/3.11 | 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(c_HOL_Oplus__class_Oplus(V_x,V_y,T_a),V_z,T_a) ) ).
% 3.09/3.11
% 3.09/3.11 cnf(cls_add__cancel__21_1,axiom,
% 3.09/3.11 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 3.09/3.11 | 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,c_HOL_Oplus__class_Oplus(V_x,V_z,T_a),T_a) ) ).
% 3.09/3.11
% 3.09/3.11 cnf(cls_ab__semigroup__add__class_Oadd__ac_I1_J_0,axiom,
% 3.09/3.11 ( ~ class_OrderedGroup_Oab__semigroup__add(T_a)
% 3.09/3.11 | 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) ) ).
% 3.09/3.11
% 3.09/3.11 cnf(cls_class__semiring_Osemiring__rules_I25_J_0,axiom,
% 3.09/3.11 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 3.09/3.11 | 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) ) ).
% 3.09/3.11
% 3.09/3.11 cnf(cls_class__semiring_Osemiring__rules_I23_J_0,axiom,
% 3.09/3.11 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 3.09/3.11 | 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) ) ).
% 3.09/3.11
% 3.09/3.11 cnf(cls_class__semiring_Osemiring__rules_I22_J_0,axiom,
% 3.09/3.11 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 3.09/3.11 | 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) ) ).
% 3.09/3.11
% 3.09/3.11 cnf(cls_class__semiring_Osemiring__rules_I21_J_0,axiom,
% 3.09/3.11 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 3.09/3.11 | 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) ) ).
% 3.09/3.11
% 3.09/3.11 cnf(cls_mod__add__right__eq_0,axiom,
% 3.09/3.11 ( ~ class_Divides_Osemiring__div(T_a)
% 3.09/3.11 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a,c_Divides_Odiv__class_Omod(V_b,V_c,T_a),T_a),V_c,T_a) ) ).
% 3.09/3.11
% 3.09/3.11 cnf(cls_mod__add__left__eq_0,axiom,
% 3.09/3.11 ( ~ class_Divides_Osemiring__div(T_a)
% 3.09/3.11 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(V_a,V_c,T_a),V_b,T_a),V_c,T_a) ) ).
% 3.09/3.11
% 3.09/3.11 cnf(cls_combine__common__factor_0,axiom,
% 3.09/3.11 ( ~ class_Ring__and__Field_Osemiring(T_a)
% 3.09/3.11 | 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) ) ).
% 3.09/3.11
% 3.09/3.11 cnf(cls_that_0,axiom,
% 3.09/3.11 ( c_Polynomial_Opoly(V_q,v_sko__local__Xthat__1(v_p,V_q,v_z),tc_Complex_Ocomplex) != c_Polynomial_Opoly(v_p,c_HOL_Oplus__class_Oplus(v_z,v_sko__local__Xthat__1(v_p,V_q,v_z),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
% 3.09/3.11 | c_Polynomial_Odegree(V_q,tc_Complex_Ocomplex) != c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex)
% 3.09/3.11 | v_thesis____ ) ).
% 3.09/3.11
% 3.09/3.11 cnf(cls_Deriv_Oadd__diff__add_0,axiom,
% 3.09/3.11 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 3.09/3.11 | c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_d,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ominus__class_Ominus(V_c,V_d,T_a),T_a) ) ).
% 3.09/3.11
% 3.09/3.11 cnf(cls_scaleR__right_Oadd_0,axiom,
% 3.09/3.11 ( ~ class_RealVector_Oreal__vector(T_a)
% 3.09/3.11 | c_RealVector_OscaleR__class_OscaleR(V_a,c_HOL_Oplus__class_Oplus(V_x,V_y,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(V_a,V_x,T_a),c_RealVector_OscaleR__class_OscaleR(V_a,V_y,T_a),T_a) ) ).
% 3.09/3.11
% 3.09/3.11 cnf(cls_scaleR_Oadd__right_0,axiom,
% 3.09/3.11 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 3.09/3.11 | c_RealVector_OscaleR__class_OscaleR(V_a,c_HOL_Oplus__class_Oplus(V_b,V_b_H,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(V_a,V_b,T_a),c_RealVector_OscaleR__class_OscaleR(V_a,V_b_H,T_a),T_a) ) ).
% 3.09/3.11
% 3.09/3.11 cnf(cls_add__cancel__end_0,axiom,
% 3.09/3.11 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 3.09/3.11 | c_HOL_Oplus__class_Oplus(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a) != V_y
% 3.09/3.11 | V_x = c_HOL_Ouminus__class_Ouminus(V_z,T_a) ) ).
% 3.09/3.11
% 3.09/3.11 cnf(cls_monoid__add__class_Oadd__0__right_0,axiom,
% 3.09/3.11 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 3.09/3.11 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ).
% 3.09/3.11
% 3.09/3.11 cnf(cls_add__0__left_0,axiom,
% 3.09/3.11 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 3.09/3.11 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = V_a ) ).
% 3.09/3.11
% 3.09/3.11 cnf(cls_comm__monoid__add_Omult__1__right_0,axiom,
% 3.09/3.11 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 3.09/3.11 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ).
% 3.09/3.11
% 3.09/3.11 cnf(cls_class__ringb_Oadd__r0__iff_1,axiom,
% 3.09/3.11 ( ~ class_Ring__and__Field_Oidom(T_a)
% 3.09/3.11 | ~ class_Int_Onumber__ring(T_a)
% 3.09/3.11 | V_x = c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 3.09/3.11
% 3.09/3.11 cnf(cls_class__semiring_Oadd__0_0,axiom,
% 3.09/3.11 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 3.09/3.11 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) = V_x ) ).
% 3.09/3.11
% 3.09/3.11 cnf(cls_comm__monoid__add_Omult__1_0,axiom,
% 3.09/3.11 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 3.09/3.11 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = V_a ) ).
% 3.09/3.11
% 3.09/3.11 cnf(cls_class__semiring_Osemiring__rules_I6_J_0,axiom,
% 3.09/3.11 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 3.09/3.11 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ).
% 3.09/3.11
% 3.09/3.11 cnf(cls_class__semiring_Osemiring__rules_I5_J_0,axiom,
% 3.09/3.11 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 3.09/3.11 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = V_a ) ).
% 3.09/3.11
% 3.09/3.11 cnf(cls_add__diff__cancel_0,axiom,
% 3.09/3.11 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 3.09/3.11 | c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_b,T_a) = V_a ) ).
% 3.09/3.11
% 3.09/3.11 cnf(cls_add__divide__distrib_0,axiom,
% 3.09/3.11 ( ~ class_Ring__and__Field_Ofield(T_a)
% 3.09/3.11 | 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) ) ).
% 3.09/3.11
% 3.09/3.11 cnf(cls_divide_Oadd_0,axiom,
% 3.09/3.11 ( ~ class_RealVector_Oreal__normed__field(T_a)
% 3.09/3.11 | 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) ) ).
% 3.09/3.11
% 3.09/3.11 cnf(cls_conjecture_0,negated_conjecture,
% 3.09/3.11 ~ v_thesis____ ).
% 3.09/3.11
% 3.09/3.11 cnf(cls_conjecture_1,negated_conjecture,
% 3.09/3.11 ( c_Polynomial_Opoly(V_qa,v_q(V_qa),tc_Complex_Ocomplex) != c_Polynomial_Opoly(v_p,c_HOL_Oplus__class_Oplus(v_z,v_q(V_qa),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
% 3.09/3.11 | c_Polynomial_Odegree(V_qa,tc_Complex_Ocomplex) != c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex)
% 3.09/3.11 | v_thesis____ ) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Ocancel__comm__monoid__add,axiom,
% 3.09/3.11 ( class_OrderedGroup_Ocancel__comm__monoid__add(tc_Polynomial_Opoly(T_1))
% 3.09/3.11 | ~ class_OrderedGroup_Ocancel__comm__monoid__add(T_1) ) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ocancel__comm__monoid__add,axiom,
% 3.09/3.11 class_OrderedGroup_Ocancel__comm__monoid__add(tc_Complex_Ocomplex) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_RealDef__Oreal__OrderedGroup_Ocancel__comm__monoid__add,axiom,
% 3.09/3.11 class_OrderedGroup_Ocancel__comm__monoid__add(tc_RealDef_Oreal) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_nat__OrderedGroup_Ocancel__comm__monoid__add,axiom,
% 3.09/3.11 class_OrderedGroup_Ocancel__comm__monoid__add(tc_nat) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_nat__OrderedGroup_Opordered__cancel__ab__semigroup__add,axiom,
% 3.09/3.11 class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add__imp__le,axiom,
% 3.09/3.11 class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_nat__Ring__and__Field_Oordered__comm__semiring__strict,axiom,
% 3.09/3.11 class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_nat__Ring__and__Field_Opordered__cancel__semiring,axiom,
% 3.09/3.11 class_Ring__and__Field_Opordered__cancel__semiring(tc_nat) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_nat__Ring__and__Field_Oordered__semiring__strict,axiom,
% 3.09/3.11 class_Ring__and__Field_Oordered__semiring__strict(tc_nat) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add,axiom,
% 3.09/3.11 class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_nat__OrderedGroup_Opordered__comm__monoid__add,axiom,
% 3.09/3.11 class_OrderedGroup_Opordered__comm__monoid__add(tc_nat) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_nat__OrderedGroup_Ocancel__ab__semigroup__add,axiom,
% 3.09/3.11 class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_nat__OrderedGroup_Ocancel__semigroup__add,axiom,
% 3.09/3.11 class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_nat__Ring__and__Field_Opordered__semiring,axiom,
% 3.09/3.11 class_Ring__and__Field_Opordered__semiring(tc_nat) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_nat__Ring__and__Field_Oordered__semiring,axiom,
% 3.09/3.11 class_Ring__and__Field_Oordered__semiring(tc_nat) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_nat__Ring__and__Field_Ono__zero__divisors,axiom,
% 3.09/3.11 class_Ring__and__Field_Ono__zero__divisors(tc_nat) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_nat__Ring__and__Field_Oordered__semidom,axiom,
% 3.09/3.11 class_Ring__and__Field_Oordered__semidom(tc_nat) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_nat__Ring__and__Field_Ocomm__semiring__1,axiom,
% 3.09/3.11 class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_nat__Ring__and__Field_Ocomm__semiring__0,axiom,
% 3.09/3.11 class_Ring__and__Field_Ocomm__semiring__0(tc_nat) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_nat__OrderedGroup_Oab__semigroup__mult,axiom,
% 3.09/3.11 class_OrderedGroup_Oab__semigroup__mult(tc_nat) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_nat__OrderedGroup_Oab__semigroup__add,axiom,
% 3.09/3.11 class_OrderedGroup_Oab__semigroup__add(tc_nat) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_nat__Ring__and__Field_Ocomm__semiring,axiom,
% 3.09/3.11 class_Ring__and__Field_Ocomm__semiring(tc_nat) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_nat__OrderedGroup_Ocomm__monoid__add,axiom,
% 3.09/3.11 class_OrderedGroup_Ocomm__monoid__add(tc_nat) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_nat__Lattices_Oupper__semilattice,axiom,
% 3.09/3.11 class_Lattices_Oupper__semilattice(tc_nat) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_nat__Lattices_Olower__semilattice,axiom,
% 3.09/3.11 class_Lattices_Olower__semilattice(tc_nat) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_nat__Ring__and__Field_Omult__mono1,axiom,
% 3.09/3.11 class_Ring__and__Field_Omult__mono1(tc_nat) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_nat__Ring__and__Field_Omult__zero,axiom,
% 3.09/3.11 class_Ring__and__Field_Omult__zero(tc_nat) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_nat__Ring__and__Field_Omult__mono,axiom,
% 3.09/3.11 class_Ring__and__Field_Omult__mono(tc_nat) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_nat__Lattices_Odistrib__lattice,axiom,
% 3.09/3.11 class_Lattices_Odistrib__lattice(tc_nat) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_nat__Ring__and__Field_Osemiring,axiom,
% 3.09/3.11 class_Ring__and__Field_Osemiring(tc_nat) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_nat__OrderedGroup_Omonoid__add,axiom,
% 3.09/3.11 class_OrderedGroup_Omonoid__add(tc_nat) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_nat__Divides_Osemiring__div,axiom,
% 3.09/3.11 class_Divides_Osemiring__div(tc_nat) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_nat__Ring__and__Field_Odvd,axiom,
% 3.09/3.11 class_Ring__and__Field_Odvd(tc_nat) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_nat__Orderings_Opreorder,axiom,
% 3.09/3.11 class_Orderings_Opreorder(tc_nat) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_nat__Orderings_Olinorder,axiom,
% 3.09/3.11 class_Orderings_Olinorder(tc_nat) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_nat__Lattices_Olattice,axiom,
% 3.09/3.11 class_Lattices_Olattice(tc_nat) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_nat__Orderings_Oorder,axiom,
% 3.09/3.11 class_Orderings_Oorder(tc_nat) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_nat__HOL_Ozero,axiom,
% 3.09/3.11 class_HOL_Ozero(tc_nat) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__cancel__ab__semigroup__add,axiom,
% 3.09/3.11 class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_RealDef_Oreal) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__semigroup__add__imp__le,axiom,
% 3.09/3.11 class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__comm__semiring__strict,axiom,
% 3.09/3.11 class_Ring__and__Field_Oordered__comm__semiring__strict(tc_RealDef_Oreal) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Opordered__cancel__semiring,axiom,
% 3.09/3.11 class_Ring__and__Field_Opordered__cancel__semiring(tc_RealDef_Oreal) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_RealDef__Oreal__OrderedGroup_Olordered__ab__group__add__meet,axiom,
% 3.09/3.11 class_OrderedGroup_Olordered__ab__group__add__meet(tc_RealDef_Oreal) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_RealDef__Oreal__OrderedGroup_Olordered__ab__group__add__join,axiom,
% 3.09/3.11 class_OrderedGroup_Olordered__ab__group__add__join(tc_RealDef_Oreal) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__semiring__strict,axiom,
% 3.09/3.11 class_Ring__and__Field_Oordered__semiring__strict(tc_RealDef_Oreal) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__semigroup__add,axiom,
% 3.09/3.11 class_OrderedGroup_Opordered__ab__semigroup__add(tc_RealDef_Oreal) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__group__add__abs,axiom,
% 3.09/3.11 class_OrderedGroup_Opordered__ab__group__add__abs(tc_RealDef_Oreal) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_RealDef__Oreal__OrderedGroup_Olordered__ab__group__add__abs,axiom,
% 3.09/3.11 class_OrderedGroup_Olordered__ab__group__add__abs(tc_RealDef_Oreal) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__comm__monoid__add,axiom,
% 3.09/3.11 class_OrderedGroup_Opordered__comm__monoid__add(tc_RealDef_Oreal) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oring__no__zero__divisors,axiom,
% 3.09/3.11 class_Ring__and__Field_Oring__no__zero__divisors(tc_RealDef_Oreal) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_RealDef__Oreal__OrderedGroup_Ocancel__ab__semigroup__add,axiom,
% 3.09/3.11 class_OrderedGroup_Ocancel__ab__semigroup__add(tc_RealDef_Oreal) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__ring__strict,axiom,
% 3.09/3.11 class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__group__add,axiom,
% 3.09/3.11 class_OrderedGroup_Opordered__ab__group__add(tc_RealDef_Oreal) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_RealDef__Oreal__OrderedGroup_Olordered__ab__group__add,axiom,
% 3.09/3.11 class_OrderedGroup_Olordered__ab__group__add(tc_RealDef_Oreal) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_RealDef__Oreal__OrderedGroup_Oordered__ab__group__add,axiom,
% 3.09/3.11 class_OrderedGroup_Oordered__ab__group__add(tc_RealDef_Oreal) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_RealDef__Oreal__OrderedGroup_Ocancel__semigroup__add,axiom,
% 3.09/3.11 class_OrderedGroup_Ocancel__semigroup__add(tc_RealDef_Oreal) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Opordered__semiring,axiom,
% 3.09/3.11 class_Ring__and__Field_Opordered__semiring(tc_RealDef_Oreal) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Opordered__ring__abs,axiom,
% 3.09/3.11 class_Ring__and__Field_Opordered__ring__abs(tc_RealDef_Oreal) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__semiring,axiom,
% 3.09/3.11 class_Ring__and__Field_Oordered__semiring(tc_RealDef_Oreal) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ono__zero__divisors,axiom,
% 3.09/3.11 class_Ring__and__Field_Ono__zero__divisors(tc_RealDef_Oreal) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Odivision__by__zero,axiom,
% 3.09/3.11 class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__semidom,axiom,
% 3.09/3.11 class_Ring__and__Field_Oordered__semidom(tc_RealDef_Oreal) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring__1,axiom,
% 3.09/3.11 class_Ring__and__Field_Ocomm__semiring__1(tc_RealDef_Oreal) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring__0,axiom,
% 3.09/3.11 class_Ring__and__Field_Ocomm__semiring__0(tc_RealDef_Oreal) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_RealDef__Oreal__RealVector_Oreal__normed__algebra,axiom,
% 3.09/3.11 class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_RealDef__Oreal__OrderedGroup_Oab__semigroup__mult,axiom,
% 3.09/3.11 class_OrderedGroup_Oab__semigroup__mult(tc_RealDef_Oreal) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_RealDef__Oreal__RealVector_Oreal__normed__vector,axiom,
% 3.09/3.11 class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_RealDef__Oreal__OrderedGroup_Oab__semigroup__add,axiom,
% 3.09/3.11 class_OrderedGroup_Oab__semigroup__add(tc_RealDef_Oreal) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Opordered__ring,axiom,
% 3.09/3.11 class_Ring__and__Field_Opordered__ring(tc_RealDef_Oreal) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__field,axiom,
% 3.09/3.11 class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Olordered__ring,axiom,
% 3.09/3.11 class_Ring__and__Field_Olordered__ring(tc_RealDef_Oreal) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring,axiom,
% 3.09/3.11 class_Ring__and__Field_Ocomm__semiring(tc_RealDef_Oreal) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_RealDef__Oreal__RealVector_Oreal__normed__field,axiom,
% 3.09/3.11 class_RealVector_Oreal__normed__field(tc_RealDef_Oreal) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_RealDef__Oreal__OrderedGroup_Ocomm__monoid__add,axiom,
% 3.09/3.11 class_OrderedGroup_Ocomm__monoid__add(tc_RealDef_Oreal) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__idom,axiom,
% 3.09/3.11 class_Ring__and__Field_Oordered__idom(tc_RealDef_Oreal) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__ring__1,axiom,
% 3.09/3.11 class_Ring__and__Field_Ocomm__ring__1(tc_RealDef_Oreal) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_RealDef__Oreal__Lattices_Oupper__semilattice,axiom,
% 3.09/3.11 class_Lattices_Oupper__semilattice(tc_RealDef_Oreal) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_RealDef__Oreal__Lattices_Olower__semilattice,axiom,
% 3.09/3.11 class_Lattices_Olower__semilattice(tc_RealDef_Oreal) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Omult__mono1,axiom,
% 3.09/3.11 class_Ring__and__Field_Omult__mono1(tc_RealDef_Oreal) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_RealDef__Oreal__OrderedGroup_Oab__group__add,axiom,
% 3.09/3.11 class_OrderedGroup_Oab__group__add(tc_RealDef_Oreal) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Omult__zero,axiom,
% 3.09/3.11 class_Ring__and__Field_Omult__zero(tc_RealDef_Oreal) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Omult__mono,axiom,
% 3.09/3.11 class_Ring__and__Field_Omult__mono(tc_RealDef_Oreal) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__ring,axiom,
% 3.09/3.11 class_Ring__and__Field_Ocomm__ring(tc_RealDef_Oreal) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_RealDef__Oreal__Lattices_Odistrib__lattice,axiom,
% 3.09/3.11 class_Lattices_Odistrib__lattice(tc_RealDef_Oreal) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Osemiring,axiom,
% 3.09/3.11 class_Ring__and__Field_Osemiring(tc_RealDef_Oreal) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_RealDef__Oreal__RealVector_Oreal__algebra,axiom,
% 3.09/3.11 class_RealVector_Oreal__algebra(tc_RealDef_Oreal) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_RealDef__Oreal__OrderedGroup_Omonoid__add,axiom,
% 3.09/3.11 class_OrderedGroup_Omonoid__add(tc_RealDef_Oreal) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_RealDef__Oreal__RealVector_Oreal__vector,axiom,
% 3.09/3.11 class_RealVector_Oreal__vector(tc_RealDef_Oreal) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_RealDef__Oreal__OrderedGroup_Ogroup__add,axiom,
% 3.09/3.11 class_OrderedGroup_Ogroup__add(tc_RealDef_Oreal) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oabs__if,axiom,
% 3.09/3.11 class_Ring__and__Field_Oabs__if(tc_RealDef_Oreal) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_RealDef__Oreal__RealVector_Oreal__field,axiom,
% 3.09/3.11 class_RealVector_Oreal__field(tc_RealDef_Oreal) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ofield,axiom,
% 3.09/3.11 class_Ring__and__Field_Ofield(tc_RealDef_Oreal) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oring,axiom,
% 3.09/3.11 class_Ring__and__Field_Oring(tc_RealDef_Oreal) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oidom,axiom,
% 3.09/3.11 class_Ring__and__Field_Oidom(tc_RealDef_Oreal) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Odvd,axiom,
% 3.09/3.11 class_Ring__and__Field_Odvd(tc_RealDef_Oreal) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_RealDef__Oreal__Orderings_Opreorder,axiom,
% 3.09/3.11 class_Orderings_Opreorder(tc_RealDef_Oreal) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_RealDef__Oreal__Orderings_Olinorder,axiom,
% 3.09/3.11 class_Orderings_Olinorder(tc_RealDef_Oreal) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_RealDef__Oreal__Lattices_Olattice,axiom,
% 3.09/3.11 class_Lattices_Olattice(tc_RealDef_Oreal) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_RealDef__Oreal__Orderings_Oorder,axiom,
% 3.09/3.11 class_Orderings_Oorder(tc_RealDef_Oreal) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_RealDef__Oreal__Int_Onumber__ring,axiom,
% 3.09/3.11 class_Int_Onumber__ring(tc_RealDef_Oreal) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_RealDef__Oreal__HOL_Ozero,axiom,
% 3.09/3.11 class_HOL_Ozero(tc_RealDef_Oreal) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Oring__no__zero__divisors,axiom,
% 3.09/3.11 class_Ring__and__Field_Oring__no__zero__divisors(tc_Complex_Ocomplex) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ocancel__ab__semigroup__add,axiom,
% 3.09/3.11 class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Complex_Ocomplex) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ocancel__semigroup__add,axiom,
% 3.09/3.11 class_OrderedGroup_Ocancel__semigroup__add(tc_Complex_Ocomplex) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ono__zero__divisors,axiom,
% 3.09/3.11 class_Ring__and__Field_Ono__zero__divisors(tc_Complex_Ocomplex) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Odivision__by__zero,axiom,
% 3.09/3.11 class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__1,axiom,
% 3.09/3.11 class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__0,axiom,
% 3.09/3.11 class_Ring__and__Field_Ocomm__semiring__0(tc_Complex_Ocomplex) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__algebra,axiom,
% 3.09/3.11 class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Oab__semigroup__mult,axiom,
% 3.09/3.11 class_OrderedGroup_Oab__semigroup__mult(tc_Complex_Ocomplex) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__vector,axiom,
% 3.09/3.11 class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Oab__semigroup__add,axiom,
% 3.09/3.11 class_OrderedGroup_Oab__semigroup__add(tc_Complex_Ocomplex) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring,axiom,
% 3.09/3.11 class_Ring__and__Field_Ocomm__semiring(tc_Complex_Ocomplex) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__field,axiom,
% 3.09/3.11 class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ocomm__monoid__add,axiom,
% 3.09/3.11 class_OrderedGroup_Ocomm__monoid__add(tc_Complex_Ocomplex) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__ring__1,axiom,
% 3.09/3.11 class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Oab__group__add,axiom,
% 3.09/3.11 class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Omult__zero,axiom,
% 3.09/3.11 class_Ring__and__Field_Omult__zero(tc_Complex_Ocomplex) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__ring,axiom,
% 3.09/3.11 class_Ring__and__Field_Ocomm__ring(tc_Complex_Ocomplex) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Osemiring,axiom,
% 3.09/3.11 class_Ring__and__Field_Osemiring(tc_Complex_Ocomplex) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__algebra,axiom,
% 3.09/3.11 class_RealVector_Oreal__algebra(tc_Complex_Ocomplex) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__add,axiom,
% 3.09/3.11 class_OrderedGroup_Omonoid__add(tc_Complex_Ocomplex) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__vector,axiom,
% 3.09/3.11 class_RealVector_Oreal__vector(tc_Complex_Ocomplex) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ogroup__add,axiom,
% 3.09/3.11 class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__field,axiom,
% 3.09/3.11 class_RealVector_Oreal__field(tc_Complex_Ocomplex) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ofield,axiom,
% 3.09/3.11 class_Ring__and__Field_Ofield(tc_Complex_Ocomplex) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Oring,axiom,
% 3.09/3.11 class_Ring__and__Field_Oring(tc_Complex_Ocomplex) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Oidom,axiom,
% 3.09/3.11 class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Odvd,axiom,
% 3.09/3.11 class_Ring__and__Field_Odvd(tc_Complex_Ocomplex) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_Complex__Ocomplex__Int_Onumber__ring,axiom,
% 3.09/3.11 class_Int_Onumber__ring(tc_Complex_Ocomplex) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_Complex__Ocomplex__HOL_Ozero,axiom,
% 3.09/3.11 class_HOL_Ozero(tc_Complex_Ocomplex) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Opordered__cancel__ab__semigroup__add,axiom,
% 3.09/3.11 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_Polynomial_Opoly(T_1))
% 3.09/3.11 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Opordered__ab__semigroup__add__imp__le,axiom,
% 3.09/3.11 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_Polynomial_Opoly(T_1))
% 3.09/3.11 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oordered__comm__semiring__strict,axiom,
% 3.09/3.11 ( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_Polynomial_Opoly(T_1))
% 3.09/3.11 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Opordered__cancel__semiring,axiom,
% 3.09/3.11 ( class_Ring__and__Field_Opordered__cancel__semiring(tc_Polynomial_Opoly(T_1))
% 3.09/3.11 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oordered__semiring__strict,axiom,
% 3.09/3.11 ( class_Ring__and__Field_Oordered__semiring__strict(tc_Polynomial_Opoly(T_1))
% 3.09/3.11 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Opordered__ab__semigroup__add,axiom,
% 3.09/3.11 ( class_OrderedGroup_Opordered__ab__semigroup__add(tc_Polynomial_Opoly(T_1))
% 3.09/3.11 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Opordered__ab__group__add__abs,axiom,
% 3.09/3.11 ( class_OrderedGroup_Opordered__ab__group__add__abs(tc_Polynomial_Opoly(T_1))
% 3.09/3.11 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Opordered__comm__monoid__add,axiom,
% 3.09/3.11 ( class_OrderedGroup_Opordered__comm__monoid__add(tc_Polynomial_Opoly(T_1))
% 3.09/3.11 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oring__no__zero__divisors,axiom,
% 3.09/3.11 ( class_Ring__and__Field_Oring__no__zero__divisors(tc_Polynomial_Opoly(T_1))
% 3.09/3.11 | ~ class_Ring__and__Field_Oidom(T_1) ) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Ocancel__ab__semigroup__add,axiom,
% 3.09/3.11 ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Polynomial_Opoly(T_1))
% 3.09/3.11 | ~ class_OrderedGroup_Ocancel__comm__monoid__add(T_1) ) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oordered__ring__strict,axiom,
% 3.09/3.11 ( class_Ring__and__Field_Oordered__ring__strict(tc_Polynomial_Opoly(T_1))
% 3.09/3.11 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Opordered__ab__group__add,axiom,
% 3.09/3.11 ( class_OrderedGroup_Opordered__ab__group__add(tc_Polynomial_Opoly(T_1))
% 3.09/3.11 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Oordered__ab__group__add,axiom,
% 3.09/3.11 ( class_OrderedGroup_Oordered__ab__group__add(tc_Polynomial_Opoly(T_1))
% 3.09/3.11 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Ocancel__semigroup__add,axiom,
% 3.09/3.11 ( class_OrderedGroup_Ocancel__semigroup__add(tc_Polynomial_Opoly(T_1))
% 3.09/3.11 | ~ class_OrderedGroup_Ocancel__comm__monoid__add(T_1) ) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Opordered__semiring,axiom,
% 3.09/3.11 ( class_Ring__and__Field_Opordered__semiring(tc_Polynomial_Opoly(T_1))
% 3.09/3.11 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Opordered__ring__abs,axiom,
% 3.09/3.11 ( class_Ring__and__Field_Opordered__ring__abs(tc_Polynomial_Opoly(T_1))
% 3.09/3.11 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oordered__semiring,axiom,
% 3.09/3.11 ( class_Ring__and__Field_Oordered__semiring(tc_Polynomial_Opoly(T_1))
% 3.09/3.11 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Ono__zero__divisors,axiom,
% 3.09/3.11 ( class_Ring__and__Field_Ono__zero__divisors(tc_Polynomial_Opoly(T_1))
% 3.09/3.11 | ~ class_Ring__and__Field_Oidom(T_1) ) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oordered__semidom,axiom,
% 3.09/3.11 ( class_Ring__and__Field_Oordered__semidom(tc_Polynomial_Opoly(T_1))
% 3.09/3.11 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Ocomm__semiring__1,axiom,
% 3.09/3.11 ( class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(T_1))
% 3.09/3.11 | ~ class_Ring__and__Field_Ocomm__semiring__1(T_1) ) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Ocomm__semiring__0,axiom,
% 3.09/3.11 ( class_Ring__and__Field_Ocomm__semiring__0(tc_Polynomial_Opoly(T_1))
% 3.09/3.11 | ~ class_Ring__and__Field_Ocomm__semiring__0(T_1) ) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Oab__semigroup__mult,axiom,
% 3.09/3.11 ( class_OrderedGroup_Oab__semigroup__mult(tc_Polynomial_Opoly(T_1))
% 3.09/3.11 | ~ class_Ring__and__Field_Ocomm__semiring__0(T_1) ) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Oab__semigroup__add,axiom,
% 3.09/3.11 ( class_OrderedGroup_Oab__semigroup__add(tc_Polynomial_Opoly(T_1))
% 3.09/3.11 | ~ class_OrderedGroup_Ocomm__monoid__add(T_1) ) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Opordered__ring,axiom,
% 3.09/3.11 ( class_Ring__and__Field_Opordered__ring(tc_Polynomial_Opoly(T_1))
% 3.09/3.11 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Ocomm__semiring,axiom,
% 3.09/3.11 ( class_Ring__and__Field_Ocomm__semiring(tc_Polynomial_Opoly(T_1))
% 3.09/3.11 | ~ class_Ring__and__Field_Ocomm__semiring__0(T_1) ) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Ocomm__monoid__add,axiom,
% 3.09/3.11 ( class_OrderedGroup_Ocomm__monoid__add(tc_Polynomial_Opoly(T_1))
% 3.09/3.11 | ~ class_OrderedGroup_Ocomm__monoid__add(T_1) ) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oordered__idom,axiom,
% 3.09/3.11 ( class_Ring__and__Field_Oordered__idom(tc_Polynomial_Opoly(T_1))
% 3.09/3.11 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Ocomm__ring__1,axiom,
% 3.09/3.11 ( class_Ring__and__Field_Ocomm__ring__1(tc_Polynomial_Opoly(T_1))
% 3.09/3.11 | ~ class_Ring__and__Field_Ocomm__ring__1(T_1) ) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Omult__mono1,axiom,
% 3.09/3.11 ( class_Ring__and__Field_Omult__mono1(tc_Polynomial_Opoly(T_1))
% 3.09/3.11 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Oab__group__add,axiom,
% 3.09/3.11 ( class_OrderedGroup_Oab__group__add(tc_Polynomial_Opoly(T_1))
% 3.09/3.11 | ~ class_OrderedGroup_Oab__group__add(T_1) ) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Omult__zero,axiom,
% 3.09/3.11 ( class_Ring__and__Field_Omult__zero(tc_Polynomial_Opoly(T_1))
% 3.09/3.11 | ~ class_Ring__and__Field_Ocomm__semiring__0(T_1) ) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Omult__mono,axiom,
% 3.09/3.11 ( class_Ring__and__Field_Omult__mono(tc_Polynomial_Opoly(T_1))
% 3.09/3.11 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Ocomm__ring,axiom,
% 3.09/3.11 ( class_Ring__and__Field_Ocomm__ring(tc_Polynomial_Opoly(T_1))
% 3.09/3.11 | ~ class_Ring__and__Field_Ocomm__ring(T_1) ) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Osemiring,axiom,
% 3.09/3.11 ( class_Ring__and__Field_Osemiring(tc_Polynomial_Opoly(T_1))
% 3.09/3.11 | ~ class_Ring__and__Field_Ocomm__semiring__0(T_1) ) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Omonoid__add,axiom,
% 3.09/3.11 ( class_OrderedGroup_Omonoid__add(tc_Polynomial_Opoly(T_1))
% 3.09/3.11 | ~ class_OrderedGroup_Ocomm__monoid__add(T_1) ) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Ogroup__add,axiom,
% 3.09/3.11 ( class_OrderedGroup_Ogroup__add(tc_Polynomial_Opoly(T_1))
% 3.09/3.11 | ~ class_OrderedGroup_Oab__group__add(T_1) ) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oabs__if,axiom,
% 3.09/3.11 ( class_Ring__and__Field_Oabs__if(tc_Polynomial_Opoly(T_1))
% 3.09/3.11 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_Polynomial__Opoly__Divides_Osemiring__div,axiom,
% 3.09/3.11 ( class_Divides_Osemiring__div(tc_Polynomial_Opoly(T_1))
% 3.09/3.11 | ~ class_Ring__and__Field_Ofield(T_1) ) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oring,axiom,
% 3.09/3.11 ( class_Ring__and__Field_Oring(tc_Polynomial_Opoly(T_1))
% 3.09/3.11 | ~ class_Ring__and__Field_Ocomm__ring(T_1) ) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oidom,axiom,
% 3.09/3.11 ( class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(T_1))
% 3.09/3.11 | ~ class_Ring__and__Field_Oidom(T_1) ) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Odvd,axiom,
% 3.09/3.11 ( class_Ring__and__Field_Odvd(tc_Polynomial_Opoly(T_1))
% 3.09/3.11 | ~ class_Ring__and__Field_Ocomm__semiring__1(T_1) ) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_Polynomial__Opoly__Orderings_Opreorder,axiom,
% 3.09/3.11 ( class_Orderings_Opreorder(tc_Polynomial_Opoly(T_1))
% 3.09/3.11 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_Polynomial__Opoly__Orderings_Olinorder,axiom,
% 3.09/3.11 ( class_Orderings_Olinorder(tc_Polynomial_Opoly(T_1))
% 3.09/3.11 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_Polynomial__Opoly__Divides_Oring__div,axiom,
% 3.09/3.11 ( class_Divides_Oring__div(tc_Polynomial_Opoly(T_1))
% 3.09/3.11 | ~ class_Ring__and__Field_Ofield(T_1) ) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_Polynomial__Opoly__Orderings_Oorder,axiom,
% 3.09/3.11 ( class_Orderings_Oorder(tc_Polynomial_Opoly(T_1))
% 3.09/3.11 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_Polynomial__Opoly__Int_Onumber__ring,axiom,
% 3.09/3.11 ( class_Int_Onumber__ring(tc_Polynomial_Opoly(T_1))
% 3.09/3.11 | ~ class_Ring__and__Field_Ocomm__ring__1(T_1) ) ).
% 3.09/3.11
% 3.09/3.11 cnf(clsarity_Polynomial__Opoly__HOL_Ozero,axiom,
% 3.09/3.11 ( class_HOL_Ozero(tc_Polynomial_Opoly(T_1))
% 3.09/3.11 | ~ class_HOL_Ozero(T_1) ) ).
% 3.09/3.11
% 3.09/3.11 %------------------------------------------------------------------------------
% 3.09/3.11 %-------------------------------------------
% 3.09/3.11 % Proof found
% 3.09/3.11 % SZS status Theorem for theBenchmark
% 3.09/3.11 % SZS output start Proof
% 3.09/3.11 %ClaNum:1103(EqnAxiom:138)
% 3.09/3.11 %VarNum:7531(SingletonVarNum:2330)
% 3.09/3.11 %MaxLitNum:6
% 3.09/3.11 %MaxfuncDepth:4
% 3.09/3.11 %SharedTerms:139
% 3.09/3.11 %goalClause: 272 841
% 3.09/3.11 %singleGoalClaCount:1
% 3.09/3.11 [139]P1(a1)
% 3.09/3.11 [140]P1(a23)
% 3.09/3.11 [141]P12(a1)
% 3.09/3.11 [142]P61(a1)
% 3.09/3.11 [143]P62(a1)
% 3.09/3.11 [144]P62(a23)
% 3.09/3.11 [145]P13(a1)
% 3.09/3.11 [146]P2(a1)
% 3.09/3.11 [147]P2(a23)
% 3.09/3.11 [148]P31(a2)
% 3.09/3.11 [149]P31(a1)
% 3.09/3.11 [150]P31(a23)
% 3.09/3.11 [151]P3(a2)
% 3.09/3.11 [152]P3(a1)
% 3.09/3.11 [153]P3(a23)
% 3.09/3.11 [154]P63(a1)
% 3.09/3.11 [155]P63(a23)
% 3.09/3.11 [156]P50(a1)
% 3.09/3.11 [157]P50(a23)
% 3.09/3.11 [158]P51(a1)
% 3.09/3.11 [159]P51(a23)
% 3.09/3.11 [160]P65(a1)
% 3.09/3.11 [161]P32(a1)
% 3.09/3.11 [162]P32(a23)
% 3.09/3.11 [163]P14(a1)
% 3.09/3.11 [164]P52(a2)
% 3.09/3.11 [165]P52(a1)
% 3.09/3.11 [166]P9(a2)
% 3.09/3.11 [167]P9(a1)
% 3.09/3.11 [168]P57(a1)
% 3.09/3.11 [169]P53(a2)
% 3.09/3.11 [170]P53(a1)
% 3.09/3.11 [171]P15(a1)
% 3.09/3.11 [172]P15(a23)
% 3.09/3.11 [173]P25(a1)
% 3.09/3.11 [174]P54(a2)
% 3.09/3.11 [175]P54(a1)
% 3.09/3.11 [176]P54(a23)
% 3.09/3.11 [177]P37(a2)
% 3.09/3.11 [178]P37(a1)
% 3.09/3.11 [179]P38(a1)
% 3.09/3.11 [180]P38(a23)
% 3.09/3.11 [181]P66(a1)
% 3.09/3.11 [182]P66(a23)
% 3.09/3.11 [183]P16(a2)
% 3.09/3.11 [184]P16(a1)
% 3.09/3.11 [185]P16(a23)
% 3.09/3.11 [186]P11(a1)
% 3.09/3.11 [187]P11(a23)
% 3.09/3.11 [188]P67(a2)
% 3.09/3.11 [189]P67(a1)
% 3.09/3.11 [190]P55(a2)
% 3.09/3.11 [191]P55(a1)
% 3.09/3.11 [192]P68(a1)
% 3.09/3.11 [193]P39(a2)
% 3.09/3.11 [194]P39(a1)
% 3.09/3.11 [195]P40(a2)
% 3.09/3.11 [196]P40(a1)
% 3.09/3.11 [197]P20(a2)
% 3.09/3.11 [198]P20(a1)
% 3.09/3.11 [199]P26(a1)
% 3.09/3.11 [200]P33(a1)
% 3.09/3.11 [201]P33(a23)
% 3.09/3.11 [202]P70(a2)
% 3.09/3.11 [203]P70(a1)
% 3.09/3.11 [204]P58(a2)
% 3.09/3.11 [205]P58(a1)
% 3.09/3.11 [206]P58(a23)
% 3.09/3.11 [207]P41(a2)
% 3.09/3.11 [208]P41(a1)
% 3.09/3.11 [209]P47(a2)
% 3.09/3.11 [210]P47(a1)
% 3.09/3.11 [211]P17(a2)
% 3.09/3.11 [212]P17(a1)
% 3.09/3.11 [213]P46(a1)
% 3.09/3.11 [214]P64(a1)
% 3.09/3.11 [215]P64(a23)
% 3.09/3.11 [216]P27(a1)
% 3.09/3.11 [217]P42(a2)
% 3.09/3.11 [218]P42(a1)
% 3.09/3.11 [219]P69(a1)
% 3.09/3.11 [220]P69(a23)
% 3.09/3.11 [221]P4(a23)
% 3.09/3.11 [222]P34(a1)
% 3.09/3.11 [223]P34(a23)
% 3.09/3.11 [224]P21(a2)
% 3.09/3.11 [225]P21(a1)
% 3.09/3.11 [226]P21(a23)
% 3.09/3.11 [227]P56(a1)
% 3.09/3.11 [228]P43(a1)
% 3.09/3.11 [229]P43(a23)
% 3.09/3.11 [230]P44(a2)
% 3.09/3.11 [231]P44(a1)
% 3.09/3.11 [232]P45(a2)
% 3.09/3.11 [233]P45(a1)
% 3.09/3.11 [234]P60(a1)
% 3.09/3.11 [235]P60(a23)
% 3.09/3.11 [236]P36(a1)
% 3.09/3.11 [237]P36(a23)
% 3.09/3.11 [238]P59(a2)
% 3.09/3.11 [239]P59(a1)
% 3.09/3.11 [240]P59(a23)
% 3.09/3.11 [241]P48(a2)
% 3.09/3.11 [242]P48(a1)
% 3.09/3.11 [243]P48(a23)
% 3.09/3.11 [244]P35(a1)
% 3.09/3.11 [245]P35(a23)
% 3.09/3.11 [246]P28(a1)
% 3.09/3.11 [247]P22(a2)
% 3.09/3.11 [248]P22(a1)
% 3.09/3.11 [249]P22(a23)
% 3.09/3.11 [250]P23(a2)
% 3.09/3.11 [251]P23(a1)
% 3.09/3.11 [252]P23(a23)
% 3.09/3.11 [253]P49(a2)
% 3.09/3.11 [254]P49(a1)
% 3.09/3.11 [255]P49(a23)
% 3.09/3.11 [256]P29(a1)
% 3.09/3.11 [257]P18(a2)
% 3.09/3.11 [258]P18(a1)
% 3.09/3.11 [259]P18(a23)
% 3.09/3.11 [260]P71(a2)
% 3.09/3.11 [261]P71(a1)
% 3.09/3.11 [262]P71(a23)
% 3.09/3.11 [263]P30(a2)
% 3.09/3.11 [264]P30(a1)
% 3.09/3.11 [265]P30(a23)
% 3.09/3.11 [266]P24(a2)
% 3.09/3.11 [267]P24(a1)
% 3.09/3.11 [268]P24(a23)
% 3.09/3.11 [272]~P72(a500)
% 3.09/3.11 [269]E(f3(f3(x2691)),x2691)
% 3.09/3.11 [270]E(f4(f3(x2701),f3(x2702),a2),f3(f4(x2701,x2702,a2)))
% 3.09/3.11 [271]E(f10(x2711,f4(x2712,x2713,a2),a2),f10(f24(x2712,x2711),x2713,a2))
% 3.09/3.11 [274]~P12(x2741)+P12(f22(x2741))
% 3.09/3.11 [275]~P12(x2751)+P61(f22(x2751))
% 3.09/3.11 [276]~P12(x2761)+P62(f22(x2761))
% 3.09/3.11 [277]~P12(x2771)+P13(f22(x2771))
% 3.09/3.11 [278]~P31(x2781)+P31(f22(x2781))
% 3.09/3.11 [279]~P3(x2791)+P3(f22(x2791))
% 3.09/3.11 [280]~P12(x2801)+P63(f22(x2801))
% 3.09/3.11 [281]~P12(x2811)+P50(f22(x2811))
% 3.09/3.11 [282]~P12(x2821)+P51(f22(x2821))
% 3.09/3.11 [283]~P12(x2831)+P65(f22(x2831))
% 3.09/3.11 [284]~P12(x2841)+P32(f22(x2841))
% 3.09/3.11 [285]~P52(x2851)+P52(f22(x2851))
% 3.09/3.11 [286]~P47(x2861)+P9(f22(x2861))
% 3.09/3.11 [287]~P12(x2871)+P25(f22(x2871))
% 3.09/3.11 [288]~P31(x2881)+P54(f22(x2881))
% 3.09/3.11 [289]~P37(x2891)+P37(f22(x2891))
% 3.09/3.11 [290]~P12(x2901)+P38(f22(x2901))
% 3.09/3.11 [291]~P12(x2911)+P66(f22(x2911))
% 3.09/3.11 [292]~P48(x2921)+P16(f22(x2921))
% 3.09/3.11 [293]~P37(x2931)+P67(f22(x2931))
% 3.09/3.11 [294]~P12(x2941)+P68(f22(x2941))
% 3.09/3.11 [295]~P17(x2951)+P20(f22(x2951))
% 3.09/3.11 [296]~P12(x2961)+P33(f22(x2961))
% 3.09/3.11 [297]~P52(x2971)+P70(f22(x2971))
% 3.09/3.11 [298]~P52(x2981)+P58(f22(x2981))
% 3.09/3.11 [299]~P47(x2991)+P47(f22(x2991))
% 3.09/3.11 [300]~P17(x3001)+P17(f22(x3001))
% 3.09/3.11 [301]~P12(x3011)+P46(f22(x3011))
% 3.09/3.11 [302]~P12(x3021)+P64(f22(x3021))
% 3.09/3.11 [303]~P12(x3031)+P27(f22(x3031))
% 3.09/3.11 [304]~P12(x3041)+P69(f22(x3041))
% 3.09/3.11 [305]~P55(x3051)+P5(f22(x3051))
% 3.09/3.11 [306]~P55(x3061)+P4(f22(x3061))
% 3.09/3.11 [307]~P12(x3071)+P34(f22(x3071))
% 3.09/3.11 [308]~P21(x3081)+P21(f22(x3081))
% 3.09/3.11 [309]~P12(x3091)+P43(f22(x3091))
% 3.09/3.11 [310]~P12(x3101)+P60(f22(x3101))
% 3.09/3.11 [311]~P12(x3111)+P36(f22(x3111))
% 3.09/3.11 [312]~P48(x3121)+P59(f22(x3121))
% 3.09/3.11 [313]~P48(x3131)+P48(f22(x3131))
% 3.09/3.11 [314]~P12(x3141)+P35(f22(x3141))
% 3.09/3.11 [315]~P24(x3151)+P22(f22(x3151))
% 3.09/3.11 [316]~P24(x3161)+P23(f22(x3161))
% 3.09/3.11 [317]~P48(x3171)+P49(f22(x3171))
% 3.09/3.11 [318]~P21(x3181)+P18(f22(x3181))
% 3.09/3.11 [319]~P48(x3191)+P71(f22(x3191))
% 3.09/3.11 [320]~P21(x3201)+P30(f22(x3201))
% 3.09/3.11 [321]~P24(x3211)+P24(f22(x3211))
% 3.09/3.11 [323]~P13(x3231)+E(f5(f11(x3231),x3231),f11(x3231))
% 3.09/3.11 [324]~P20(x3241)+E(f12(f11(x3241),x3241),f11(x3241))
% 3.09/3.11 [325]~P27(x3251)+E(f12(f11(x3251),x3251),f11(x3251))
% 3.09/3.11 [380]~P14(x3801)+E(f4(f11(x3801),f11(x3801),x3801),f11(x3801))
% 3.09/3.11 [402]~P13(x4021)+P6(f5(f11(x4021),x4021),f11(x4021),x4021)
% 3.09/3.11 [478]~P13(x4781)+~P8(f11(x4781),f5(f11(x4781),x4781),x4781)
% 3.09/3.11 [709]~P61(x7091)+E(f4(f13(f11(x7091),f11(x7091),x7091),f13(f11(x7091),f11(x7091),x7091),x7091),f11(x7091))
% 3.09/3.11 [1055]~P61(x10551)+P6(f4(f13(f11(x10551),f11(x10551),x10551),f13(f11(x10551),f11(x10551),x10551),x10551),f11(x10551),x10551)
% 3.09/3.11 [1090]~P61(x10901)+~P8(f11(x10901),f4(f13(f11(x10901),f11(x10901),x10901),f13(f11(x10901),f11(x10901),x10901),x10901),x10901)
% 3.09/3.11 [339]~P38(x3392)+P6(x3391,x3391,x3392)
% 3.09/3.11 [340]~P43(x3402)+P6(x3401,x3401,x3402)
% 3.09/3.11 [341]~P31(x3412)+P7(x3411,x3411,x3412)
% 3.09/3.11 [393]~P8(x3932,x3932,x3931)+~P32(x3931)
% 3.09/3.11 [394]~P8(x3942,x3942,x3941)+~P38(x3941)
% 3.09/3.11 [395]~P8(x3952,x3952,x3951)+~P43(x3951)
% 3.09/3.11 [273]E(x2731,x2732)+~E(f3(x2731),f3(x2732))
% 3.09/3.11 [342]~P1(x3422)+E(f14(x3421,x3421,x3422),x3421)
% 3.09/3.11 [343]~P19(x3432)+E(f13(x3431,x3431,x3432),x3431)
% 3.09/3.11 [344]~P15(x3442)+E(f15(x3441,x3441,x3442),x3441)
% 3.09/3.11 [345]~P32(x3452)+E(f16(x3451,x3451,x3452),x3451)
% 3.09/3.11 [346]~P32(x3462)+E(f17(x3461,x3461,x3462),x3461)
% 3.09/3.11 [348]~P20(x3482)+E(f8(x3481,x3481,x3482),f11(x3482))
% 3.09/3.11 [349]~P17(x3492)+E(f8(x3491,x3491,x3492),f11(x3492))
% 3.09/3.11 [350]~P4(x3502)+E(f6(x3501,x3501,x3502),f11(x3502))
% 3.09/3.11 [351]~P31(x3512)+P7(x3511,f11(x3512),x3512)
% 3.09/3.11 [387]~P13(x3872)+P6(x3871,f5(x3871,x3872),x3872)
% 3.09/3.11 [396]~P13(x3961)+P6(f11(x3961),f5(x3962,x3961),x3961)
% 3.09/3.11 [410]~P13(x4102)+P6(f12(x4101,x4102),f5(x4101,x4102),x4102)
% 3.09/3.11 [448]~P13(x4481)+~P8(f5(x4482,x4481),f11(x4481),x4481)
% 3.09/3.11 [511]~P61(x5111)+P6(f11(x5111),f13(x5112,x5112,x5111),x5111)
% 3.09/3.11 [664]~P61(x6641)+~P8(f13(x6642,x6642,x6641),f11(x6641),x6641)
% 3.09/3.11 [332]~P10(x3322)+E(f12(f12(x3321,x3322),x3322),x3321)
% 3.09/3.11 [334]~P20(x3342)+E(f12(f12(x3341,x3342),x3342),x3341)
% 3.09/3.11 [337]~P13(x3372)+E(f5(f5(x3371,x3372),x3372),f5(x3371,x3372))
% 3.09/3.11 [338]~P13(x3382)+E(f5(f12(x3381,x3382),x3382),f5(x3381,x3382))
% 3.09/3.11 [352]~P31(x3522)+E(f4(x3521,f11(x3522),x3522),x3521)
% 3.09/3.11 [353]~P21(x3532)+E(f4(x3531,f11(x3532),x3532),x3531)
% 3.09/3.11 [354]~P30(x3542)+E(f4(x3541,f11(x3542),x3542),x3541)
% 3.09/3.11 [355]~P20(x3552)+E(f8(x3551,f11(x3552),x3552),x3551)
% 3.09/3.11 [356]~P4(x3562)+E(f6(x3561,f11(x3562),x3562),x3561)
% 3.09/3.11 [358]~P31(x3581)+E(f4(f11(x3581),x3582,x3581),x3582)
% 3.09/3.11 [359]~P21(x3591)+E(f4(f11(x3591),x3592,x3591),x3592)
% 3.09/3.11 [360]~P30(x3601)+E(f4(f11(x3601),x3602,x3601),x3602)
% 3.09/3.11 [361]~P31(x3612)+E(f13(x3611,f11(x3612),x3612),f11(x3612))
% 3.09/3.11 [362]~P70(x3622)+E(f13(x3621,f11(x3622),x3622),f11(x3622))
% 3.09/3.11 [364]~P42(x3642)+E(f13(x3641,f11(x3642),x3642),f11(x3642))
% 3.09/3.11 [365]~P59(x3652)+E(f13(x3651,f11(x3652),x3652),f11(x3652))
% 3.09/3.11 [366]~P39(x3662)+E(f21(x3661,f11(x3662),x3662),f11(x3662))
% 3.09/3.11 [367]~P40(x3672)+E(f21(x3671,f11(x3672),x3672),f11(x3672))
% 3.09/3.11 [369]~P31(x3691)+E(f13(f11(x3691),x3692,x3691),f11(x3691))
% 3.09/3.11 [370]~P70(x3701)+E(f13(f11(x3701),x3702,x3701),f11(x3701))
% 3.09/3.11 [372]~P42(x3721)+E(f13(f11(x3721),x3722,x3721),f11(x3721))
% 3.09/3.11 [373]~P59(x3731)+E(f13(f11(x3731),x3732,x3731),f11(x3731))
% 3.09/3.11 [374]~P55(x3741)+E(f9(f11(x3741),x3742,x3741),f11(x3741))
% 3.09/3.11 [375]~P41(x3751)+E(f9(f11(x3751),x3752,x3751),f11(x3751))
% 3.09/3.11 [376]~P4(x3761)+E(f6(f11(x3761),x3762,x3761),f11(x3761))
% 3.09/3.11 [384]~P20(x3841)+E(f8(f11(x3841),x3842,x3841),f12(x3842,x3841))
% 3.09/3.11 [389]~P20(x3892)+E(f4(x3891,f12(x3891,x3892),x3892),f11(x3892))
% 3.09/3.11 [391]~P20(x3912)+E(f4(f12(x3911,x3912),x3911,x3912),f11(x3912))
% 3.09/3.11 [392]~P17(x3922)+E(f4(f12(x3921,x3922),x3921,x3922),f11(x3922))
% 3.09/3.11 [398]~P26(x3982)+E(f15(x3981,f12(x3981,x3982),x3982),f5(x3981,x3982))
% 3.09/3.11 [451]~P13(x4512)+P6(f12(f5(x4511,x4512),x4512),f11(x4512),x4512)
% 3.09/3.11 [480]~P12(x4802)+E(f13(f5(x4801,x4802),f5(x4801,x4802),x4802),f13(x4801,x4801,x4802))
% 3.09/3.11 [482]~P52(x4822)+E(f13(f12(x4821,x4822),f12(x4821,x4822),x4822),f13(x4821,x4821,x4822))
% 3.09/3.11 [378]~P17(x3782)+E(f18(f12(x3781,f22(x3782)),x3782),f18(x3781,x3782))
% 3.09/3.11 [413]~P1(x4133)+E(f14(x4131,x4132,x4133),f14(x4132,x4131,x4133))
% 3.09/3.11 [414]~P11(x4143)+E(f14(x4141,x4142,x4143),f14(x4142,x4141,x4143))
% 3.09/3.12 [416]~P31(x4163)+E(f13(x4161,x4162,x4163),f13(x4162,x4161,x4163))
% 3.09/3.12 [417]~P15(x4173)+E(f15(x4171,x4172,x4173),f15(x4172,x4171,x4173))
% 3.09/3.12 [418]~P11(x4183)+E(f15(x4181,x4182,x4183),f15(x4182,x4181,x4183))
% 3.09/3.12 [420]~P31(x4203)+E(f4(x4201,x4202,x4203),f4(x4202,x4201,x4203))
% 3.09/3.12 [421]~P21(x4213)+E(f4(x4211,x4212,x4213),f4(x4212,x4211,x4213))
% 3.09/3.12 [422]~P32(x4223)+E(f16(x4221,x4222,x4223),f16(x4222,x4221,x4223))
% 3.09/3.12 [423]~P32(x4233)+E(f17(x4231,x4232,x4233),f17(x4232,x4231,x4233))
% 3.09/3.12 [483]~P15(x4833)+P6(x4831,f15(x4832,x4831,x4833),x4833)
% 3.09/3.12 [484]~P11(x4843)+P6(x4841,f15(x4842,x4841,x4843),x4843)
% 3.09/3.12 [485]~P15(x4853)+P6(x4851,f15(x4851,x4852,x4853),x4853)
% 3.09/3.12 [486]~P11(x4863)+P6(x4861,f15(x4861,x4862,x4863),x4863)
% 3.09/3.12 [487]~P32(x4873)+P6(x4871,f17(x4872,x4871,x4873),x4873)
% 3.09/3.12 [488]~P32(x4883)+P6(x4881,f17(x4881,x4882,x4883),x4883)
% 3.09/3.12 [489]~P31(x4893)+P7(x4891,f13(x4892,x4891,x4893),x4893)
% 3.09/3.12 [490]~P31(x4903)+P7(x4901,f13(x4901,x4902,x4903),x4903)
% 3.09/3.12 [491]~P54(x4913)+P7(x4911,f13(x4911,x4912,x4913),x4913)
% 3.09/3.12 [492]~P1(x4923)+P6(f14(x4921,x4922,x4923),x4922,x4923)
% 3.09/3.12 [493]~P11(x4933)+P6(f14(x4931,x4932,x4933),x4932,x4933)
% 3.09/3.12 [494]~P1(x4943)+P6(f14(x4941,x4942,x4943),x4941,x4943)
% 3.09/3.12 [495]~P11(x4953)+P6(f14(x4951,x4952,x4953),x4951,x4953)
% 3.09/3.12 [496]~P32(x4963)+P6(f16(x4961,x4962,x4963),x4962,x4963)
% 3.09/3.12 [497]~P32(x4973)+P6(f16(x4971,x4972,x4973),x4971,x4973)
% 3.09/3.12 [436]~P39(x4362)+E(f21(x4361,f11(x4362),x4362),f21(x4363,f11(x4362),x4362))
% 3.09/3.12 [441]~P48(x4413)+E(f18(f7(x4411,x4412,x4413),x4413),f18(x4411,x4413))
% 3.09/3.12 [442]~P10(x4423)+E(f14(x4421,f12(x4422,x4423),x4423),f8(x4421,x4422,x4423))
% 3.09/3.12 [443]~P9(x4433)+E(f4(x4431,f12(x4432,x4433),x4433),f8(x4431,x4432,x4433))
% 3.09/3.12 [444]~P20(x4443)+E(f4(x4441,f12(x4442,x4443),x4443),f8(x4441,x4442,x4443))
% 3.09/3.12 [446]~P17(x4463)+E(f4(x4461,f12(x4462,x4463),x4463),f8(x4461,x4462,x4463))
% 3.09/3.12 [447]~P20(x4473)+E(f8(x4471,f12(x4472,x4473),x4473),f4(x4471,x4472,x4473))
% 3.09/3.12 [479]~P67(x4792)+E(f13(f12(x4791,x4792),x4793,x4792),f13(x4791,f12(x4793,x4792),x4792))
% 3.09/3.12 [481]~P67(x4812)+E(f13(f12(x4811,x4812),f12(x4813,x4812),x4812),f13(x4811,x4813,x4812))
% 3.09/3.12 [498]~P11(x4983)+E(f14(x4981,f15(x4981,x4982,x4983),x4983),x4981)
% 3.09/3.12 [499]~P11(x4993)+E(f15(x4991,f14(x4991,x4992,x4993),x4993),x4991)
% 3.09/3.12 [500]~P32(x5003)+E(f16(x5001,f17(x5001,x5002,x5003),x5003),x5001)
% 3.09/3.12 [501]~P32(x5013)+E(f17(x5011,f16(x5011,x5012,x5013),x5013),x5011)
% 3.09/3.12 [502]~P20(x5023)+E(f4(f8(x5021,x5022,x5023),x5022,x5023),x5021)
% 3.09/3.12 [503]~P20(x5033)+E(f8(f4(x5031,x5032,x5033),x5032,x5033),x5031)
% 3.09/3.12 [504]~P4(x5043)+E(f6(f13(x5041,x5042,x5043),x5042,x5043),f11(x5043))
% 3.09/3.12 [505]~P4(x5053)+E(f6(f13(x5051,x5052,x5053),x5051,x5053),f11(x5053))
% 3.09/3.12 [537]~P17(x5373)+E(f12(f8(x5371,x5372,x5373),x5373),f8(x5372,x5371,x5373))
% 3.09/3.12 [563]~P17(x5632)+E(f4(f12(x5631,x5632),f4(x5633,x5631,x5632),x5632),x5633)
% 3.09/3.12 [564]~P20(x5642)+E(f4(f12(x5641,x5642),f4(x5641,x5643,x5642),x5642),x5643)
% 3.09/3.12 [574]~P67(x5743)+E(f13(x5741,f12(x5742,x5743),x5743),f12(f13(x5741,x5742,x5743),x5743))
% 3.09/3.12 [575]~P67(x5752)+E(f13(f12(x5751,x5752),x5753,x5752),f12(f13(x5751,x5753,x5752),x5752))
% 3.09/3.12 [576]~P55(x5762)+E(f9(f12(x5761,x5762),x5763,x5762),f12(f9(x5761,x5763,x5762),x5762))
% 3.09/3.12 [578]~P42(x5783)+E(f13(x5781,f12(x5782,x5783),x5783),f12(f13(x5781,x5782,x5783),x5783))
% 3.09/3.12 [579]~P39(x5793)+E(f21(x5791,f12(x5792,x5793),x5793),f12(f21(x5791,x5792,x5793),x5793))
% 3.09/3.12 [580]~P40(x5803)+E(f21(x5801,f12(x5802,x5803),x5803),f12(f21(x5801,x5802,x5803),x5803))
% 3.09/3.12 [582]~P42(x5822)+E(f13(f12(x5821,x5822),x5823,x5822),f12(f13(x5821,x5823,x5822),x5822))
% 3.09/3.12 [583]~P41(x5832)+E(f9(f12(x5831,x5832),x5833,x5832),f12(f9(x5831,x5833,x5832),x5832))
% 3.09/3.12 [598]~P1(x5983)+E(f14(x5981,f14(x5981,x5982,x5983),x5983),f14(x5981,x5982,x5983))
% 3.09/3.12 [599]~P11(x5993)+E(f14(x5991,f14(x5991,x5992,x5993),x5993),f14(x5991,x5992,x5993))
% 3.09/3.12 [600]~P19(x6003)+E(f13(x6001,f13(x6001,x6002,x6003),x6003),f13(x6001,x6002,x6003))
% 3.09/3.12 [601]~P15(x6013)+E(f15(x6011,f15(x6011,x6012,x6013),x6013),f15(x6011,x6012,x6013))
% 3.09/3.12 [602]~P11(x6023)+E(f15(x6021,f15(x6021,x6022,x6023),x6023),f15(x6021,x6022,x6023))
% 3.09/3.12 [603]~P32(x6033)+E(f16(x6031,f16(x6031,x6032,x6033),x6033),f16(x6031,x6032,x6033))
% 3.09/3.12 [604]~P32(x6043)+E(f17(x6041,f17(x6041,x6042,x6043),x6043),f17(x6041,x6042,x6043))
% 3.09/3.12 [605]~P4(x6053)+E(f6(f4(x6051,x6052,x6053),x6052,x6053),f6(x6051,x6052,x6053))
% 3.09/3.12 [606]~P4(x6063)+E(f6(f4(x6061,x6062,x6063),x6061,x6063),f6(x6062,x6061,x6063))
% 3.09/3.12 [607]~P4(x6073)+E(f6(f6(x6071,x6072,x6073),x6072,x6073),f6(x6071,x6072,x6073))
% 3.09/3.12 [610]~P12(x6102)+E(f13(f5(x6101,x6102),f5(x6103,x6102),x6102),f5(f13(x6101,x6103,x6102),x6102))
% 3.09/3.12 [611]~P14(x6112)+E(f15(f12(x6111,x6112),f12(x6113,x6112),x6112),f12(f14(x6111,x6113,x6112),x6112))
% 3.09/3.12 [612]~P10(x6122)+E(f15(f12(x6121,x6122),f12(x6123,x6122),x6122),f12(f14(x6121,x6123,x6122),x6122))
% 3.09/3.12 [613]~P14(x6132)+E(f14(f12(x6131,x6132),f12(x6133,x6132),x6132),f12(f15(x6131,x6133,x6132),x6132))
% 3.09/3.12 [614]~P10(x6142)+E(f14(f12(x6141,x6142),f12(x6143,x6142),x6142),f12(f15(x6141,x6143,x6142),x6142))
% 3.09/3.12 [615]~P20(x6152)+E(f4(f12(x6151,x6152),f12(x6153,x6152),x6152),f12(f4(x6153,x6151,x6152),x6152))
% 3.09/3.12 [616]~P17(x6162)+E(f4(f12(x6161,x6162),f12(x6163,x6162),x6162),f12(f4(x6161,x6163,x6162),x6162))
% 3.09/3.12 [617]~P17(x6172)+E(f8(f12(x6171,x6172),f12(x6173,x6172),x6172),f12(f8(x6171,x6173,x6172),x6172))
% 3.09/3.12 [629]~P13(x6293)+E(f5(f8(x6291,x6292,x6293),x6293),f5(f8(x6292,x6291,x6293),x6293))
% 3.09/3.12 [672]~P52(x6722)+P7(f13(x6721,f11(x6722),x6722),f13(x6723,f11(x6722),x6722),x6722)
% 3.09/3.12 [673]~P52(x6731)+P7(f13(f11(x6731),x6732,x6731),f13(f11(x6731),x6733,x6731),x6731)
% 3.09/3.12 [710]~P14(x7103)+E(f4(f15(x7101,x7102,x7103),f14(x7101,x7102,x7103),x7103),f4(x7101,x7102,x7103))
% 3.09/3.12 [965]~P56(x9653)+P6(f5(f13(x9651,x9652,x9653),x9653),f13(f5(x9651,x9653),f5(x9652,x9653),x9653),x9653)
% 3.09/3.12 [966]~P13(x9663)+P6(f5(f4(x9661,x9662,x9663),x9663),f4(f5(x9661,x9663),f5(x9662,x9663),x9663),x9663)
% 3.09/3.12 [967]~P13(x9673)+P6(f5(f8(x9671,x9672,x9673),x9673),f4(f5(x9671,x9673),f5(x9672,x9673),x9673),x9673)
% 3.09/3.12 [968]~P13(x9682)+P6(f8(f5(x9681,x9682),f5(x9683,x9682),x9682),f5(f8(x9681,x9683,x9682),x9682),x9682)
% 3.09/3.12 [1035]~P61(x10351)+P6(f11(x10351),f4(f13(x10352,x10352,x10351),f13(x10353,x10353,x10351),x10351),x10351)
% 3.09/3.12 [1083]~P61(x10831)+~P8(f4(f13(x10832,x10832,x10831),f13(x10833,x10833,x10831),x10831),f11(x10831),x10831)
% 3.09/3.12 [596]~P37(x5962)+E(f10(f12(x5961,f22(x5962)),x5963,x5962),f12(f10(x5961,x5963,x5962),x5962))
% 3.09/3.12 [597]~P20(x5972)+E(f4(x5971,f4(f12(x5971,x5972),x5973,x5972),x5972),x5973)
% 3.09/3.12 [630]~P17(x6302)+E(f19(f12(x6301,x6302),f12(x6303,f22(x6302)),x6302),f12(f19(x6301,x6303,x6302),f22(x6302)))
% 3.09/3.12 [666]~P14(x6662)+E(f12(f15(f12(x6661,x6662),f12(x6663,x6662),x6662),x6662),f14(x6661,x6663,x6662))
% 3.09/3.12 [667]~P14(x6672)+E(f12(f14(f12(x6671,x6672),f12(x6673,x6672),x6672),x6672),f15(x6671,x6673,x6672))
% 3.09/3.12 [756]~P13(x7562)+E(f5(f4(f5(x7561,x7562),f5(x7563,x7562),x7562),x7562),f4(f5(x7561,x7562),f5(x7563,x7562),x7562))
% 3.09/3.12 [840]~P5(x8403)+E(f6(f12(f6(x8401,x8402,x8403),x8403),x8402,x8403),f6(f12(x8401,x8403),x8402,x8403))
% 3.09/3.12 [1060]~P13(x10602)+P6(f5(f8(f5(x10601,x10602),f5(x10603,x10602),x10602),x10602),f5(f8(x10601,x10603,x10602),x10602),x10602)
% 3.09/3.12 [711]~P1(x7114)+E(f14(x7111,f14(x7112,x7113,x7114),x7114),f14(x7112,f14(x7111,x7113,x7114),x7114))
% 3.09/3.12 [712]~P11(x7124)+E(f14(x7121,f14(x7122,x7123,x7124),x7124),f14(x7122,f14(x7121,x7123,x7124),x7124))
% 3.09/3.12 [713]~P31(x7134)+E(f13(x7131,f13(x7132,x7133,x7134),x7134),f13(x7132,f13(x7131,x7133,x7134),x7134))
% 3.09/3.12 [714]~P15(x7144)+E(f15(x7141,f15(x7142,x7143,x7144),x7144),f15(x7142,f15(x7141,x7143,x7144),x7144))
% 3.09/3.12 [715]~P11(x7154)+E(f15(x7151,f15(x7152,x7153,x7154),x7154),f15(x7152,f15(x7151,x7153,x7154),x7154))
% 3.09/3.12 [716]~P31(x7164)+E(f4(x7161,f4(x7162,x7163,x7164),x7164),f4(x7162,f4(x7161,x7163,x7164),x7164))
% 3.09/3.12 [717]~P17(x7174)+E(f4(x7171,f4(x7172,x7173,x7174),x7174),f4(x7172,f4(x7171,x7173,x7174),x7174))
% 3.09/3.12 [718]~P21(x7184)+E(f4(x7181,f4(x7182,x7183,x7184),x7184),f4(x7182,f4(x7181,x7183,x7184),x7184))
% 3.09/3.12 [719]~P32(x7194)+E(f16(x7191,f16(x7192,x7193,x7194),x7194),f16(x7192,f16(x7191,x7193,x7194),x7194))
% 3.09/3.12 [720]~P32(x7204)+E(f17(x7201,f17(x7202,x7203,x7204),x7204),f17(x7202,f17(x7201,x7203,x7204),x7204))
% 3.09/3.12 [722]~P42(x7224)+E(f21(x7221,f13(x7222,x7223,x7224),x7224),f13(x7222,f21(x7221,x7223,x7224),x7224))
% 3.09/3.12 [723]~P44(x7234)+E(f21(x7231,f13(x7232,x7233,x7234),x7234),f13(x7232,f21(x7231,x7233,x7234),x7234))
% 3.09/3.12 [724]~P39(x7244)+E(f21(x7241,f21(x7242,x7243,x7244),x7244),f21(x7242,f21(x7241,x7243,x7244),x7244))
% 3.09/3.12 [726]~P40(x7264)+E(f21(x7261,f21(x7262,x7263,x7264),x7264),f21(x7262,f21(x7261,x7263,x7264),x7264))
% 3.09/3.12 [731]~P1(x7313)+E(f14(f14(x7311,x7312,x7313),x7314,x7313),f14(x7311,f14(x7312,x7314,x7313),x7313))
% 3.09/3.12 [732]~P11(x7323)+E(f14(f14(x7321,x7322,x7323),x7324,x7323),f14(x7321,f14(x7322,x7324,x7323),x7323))
% 3.09/3.12 [733]~P31(x7333)+E(f13(f13(x7331,x7332,x7333),x7334,x7333),f13(x7331,f13(x7332,x7334,x7333),x7333))
% 3.09/3.12 [734]~P16(x7343)+E(f13(f13(x7341,x7342,x7343),x7344,x7343),f13(x7341,f13(x7342,x7344,x7343),x7343))
% 3.09/3.12 [736]~P42(x7364)+E(f21(x7361,f13(x7362,x7363,x7364),x7364),f13(f21(x7361,x7362,x7364),x7363,x7364))
% 3.09/3.12 [737]~P44(x7374)+E(f21(x7371,f13(x7372,x7373,x7374),x7374),f13(f21(x7371,x7372,x7374),x7373,x7374))
% 3.09/3.12 [738]~P15(x7383)+E(f15(f15(x7381,x7382,x7383),x7384,x7383),f15(x7381,f15(x7382,x7384,x7383),x7383))
% 3.09/3.12 [739]~P11(x7393)+E(f15(f15(x7391,x7392,x7393),x7394,x7393),f15(x7391,f15(x7392,x7394,x7393),x7393))
% 3.09/3.12 [740]~P31(x7403)+E(f4(f4(x7401,x7402,x7403),x7404,x7403),f4(x7401,f4(x7402,x7404,x7403),x7403))
% 3.09/3.12 [741]~P21(x7413)+E(f4(f4(x7411,x7412,x7413),x7414,x7413),f4(x7411,f4(x7412,x7414,x7413),x7413))
% 3.09/3.12 [742]~P18(x7423)+E(f4(f4(x7421,x7422,x7423),x7424,x7423),f4(x7421,f4(x7422,x7424,x7423),x7423))
% 3.09/3.12 [743]~P41(x7433)+E(f9(f21(x7431,x7432,x7433),x7434,x7433),f21(x7431,f9(x7432,x7434,x7433),x7433))
% 3.09/3.12 [744]~P32(x7443)+E(f16(f16(x7441,x7442,x7443),x7444,x7443),f16(x7441,f16(x7442,x7444,x7443),x7443))
% 3.09/3.12 [745]~P32(x7453)+E(f17(f17(x7451,x7452,x7453),x7454,x7453),f17(x7451,f17(x7452,x7454,x7453),x7453))
% 3.09/3.12 [746]~P48(x7463)+E(f10(f20(x7461,x7462,x7463),x7464,x7463),f10(x7461,f10(x7462,x7464,x7463),x7463))
% 3.09/3.12 [747]~P48(x7473)+E(f10(f7(x7471,x7472,x7473),x7474,x7473),f10(x7471,f4(x7472,x7474,x7473),x7473))
% 3.09/3.12 [748]~P31(x7483)+E(f13(f13(x7481,x7482,x7483),x7484,x7483),f13(f13(x7481,x7484,x7483),x7482,x7483))
% 3.09/3.12 [749]~P31(x7493)+E(f4(f4(x7491,x7492,x7493),x7494,x7493),f4(f4(x7491,x7494,x7493),x7492,x7493))
% 3.09/3.12 [881]~P2(x8813)+E(f15(f14(x8811,x8812,x8813),f14(x8811,x8814,x8813),x8813),f14(x8811,f15(x8812,x8814,x8813),x8813))
% 3.09/3.12 [882]~P31(x8823)+E(f4(f13(x8821,x8822,x8823),f13(x8821,x8824,x8823),x8823),f13(x8821,f4(x8822,x8824,x8823),x8823))
% 3.09/3.12 [884]~P42(x8843)+E(f4(f13(x8841,x8842,x8843),f13(x8841,x8844,x8843),x8843),f13(x8841,f4(x8842,x8844,x8843),x8843))
% 3.09/3.12 [886]~P42(x8863)+E(f8(f13(x8861,x8862,x8863),f13(x8861,x8864,x8863),x8863),f13(x8861,f8(x8862,x8864,x8863),x8863))
% 3.09/3.12 [887]~P2(x8873)+E(f14(f15(x8871,x8872,x8873),f15(x8871,x8874,x8873),x8873),f15(x8871,f14(x8872,x8874,x8873),x8873))
% 3.09/3.12 [888]~P14(x8883)+E(f14(f4(x8881,x8882,x8883),f4(x8881,x8884,x8883),x8883),f4(x8881,f14(x8882,x8884,x8883),x8883))
% 3.09/3.12 [889]~P28(x8893)+E(f14(f4(x8891,x8892,x8893),f4(x8891,x8894,x8893),x8893),f4(x8891,f14(x8892,x8894,x8893),x8893))
% 3.09/3.12 [890]~P14(x8903)+E(f15(f4(x8901,x8902,x8903),f4(x8901,x8904,x8903),x8903),f4(x8901,f15(x8902,x8904,x8903),x8903))
% 3.09/3.12 [891]~P29(x8913)+E(f15(f4(x8911,x8912,x8913),f4(x8911,x8914,x8913),x8913),f4(x8911,f15(x8912,x8914,x8913),x8913))
% 3.09/3.12 [892]~P32(x8923)+E(f17(f16(x8921,x8922,x8923),f16(x8921,x8924,x8923),x8923),f16(x8921,f17(x8922,x8924,x8923),x8923))
% 3.09/3.12 [893]~P32(x8933)+E(f16(f17(x8931,x8932,x8933),f17(x8931,x8934,x8933),x8933),f17(x8931,f16(x8932,x8934,x8933),x8933))
% 3.09/3.12 [894]~P39(x8943)+E(f4(f21(x8941,x8942,x8943),f21(x8941,x8944,x8943),x8943),f21(x8941,f4(x8942,x8944,x8943),x8943))
% 3.09/3.12 [895]~P40(x8953)+E(f4(f21(x8951,x8952,x8953),f21(x8951,x8954,x8953),x8953),f21(x8951,f4(x8952,x8954,x8953),x8953))
% 3.09/3.12 [896]~P39(x8963)+E(f8(f21(x8961,x8962,x8963),f21(x8961,x8964,x8963),x8963),f21(x8961,f8(x8962,x8964,x8963),x8963))
% 3.09/3.12 [897]~P40(x8973)+E(f8(f21(x8971,x8972,x8973),f21(x8971,x8974,x8973),x8973),f21(x8971,f8(x8972,x8974,x8973),x8973))
% 3.09/3.12 [898]~P2(x8983)+E(f15(f14(x8981,x8982,x8983),f14(x8984,x8982,x8983),x8983),f14(f15(x8981,x8984,x8983),x8982,x8983))
% 3.09/3.12 [901]~P42(x9013)+E(f4(f13(x9011,x9012,x9013),f13(x9014,x9012,x9013),x9013),f13(f4(x9011,x9014,x9013),x9012,x9013))
% 3.09/3.12 [902]~P49(x9023)+E(f4(f13(x9021,x9022,x9023),f13(x9024,x9022,x9023),x9023),f13(f4(x9021,x9024,x9023),x9022,x9023))
% 3.09/3.12 [904]~P42(x9043)+E(f8(f13(x9041,x9042,x9043),f13(x9044,x9042,x9043),x9043),f13(f8(x9041,x9044,x9043),x9042,x9043))
% 3.09/3.12 [905]~P2(x9053)+E(f14(f15(x9051,x9052,x9053),f15(x9054,x9052,x9053),x9053),f15(f14(x9051,x9054,x9053),x9052,x9053))
% 3.09/3.12 [906]~P14(x9063)+E(f14(f4(x9061,x9062,x9063),f4(x9064,x9062,x9063),x9063),f4(f14(x9061,x9064,x9063),x9062,x9063))
% 3.09/3.12 [907]~P28(x9073)+E(f14(f4(x9071,x9072,x9073),f4(x9074,x9072,x9073),x9073),f4(f14(x9071,x9074,x9073),x9072,x9073))
% 3.09/3.12 [908]~P14(x9083)+E(f15(f4(x9081,x9082,x9083),f4(x9084,x9082,x9083),x9083),f4(f15(x9081,x9084,x9083),x9082,x9083))
% 3.09/3.12 [909]~P29(x9093)+E(f15(f4(x9091,x9092,x9093),f4(x9094,x9092,x9093),x9093),f4(f15(x9091,x9094,x9093),x9092,x9093))
% 3.09/3.12 [910]~P34(x9103)+E(f16(f4(x9101,x9102,x9103),f4(x9104,x9102,x9103),x9103),f4(f16(x9101,x9104,x9103),x9102,x9103))
% 3.09/3.12 [911]~P34(x9113)+E(f17(f4(x9111,x9112,x9113),f4(x9114,x9112,x9113),x9113),f4(f17(x9111,x9114,x9113),x9112,x9113))
% 3.09/3.12 [912]~P55(x9123)+E(f4(f9(x9121,x9122,x9123),f9(x9124,x9122,x9123),x9123),f9(f4(x9121,x9124,x9123),x9122,x9123))
% 3.09/3.12 [913]~P41(x9133)+E(f4(f9(x9131,x9132,x9133),f9(x9134,x9132,x9133),x9133),f9(f4(x9131,x9134,x9133),x9132,x9133))
% 3.09/3.12 [914]~P55(x9143)+E(f8(f9(x9141,x9142,x9143),f9(x9144,x9142,x9143),x9143),f9(f8(x9141,x9144,x9143),x9142,x9143))
% 3.09/3.12 [915]~P41(x9153)+E(f8(f9(x9151,x9152,x9153),f9(x9154,x9152,x9153),x9153),f9(f8(x9151,x9154,x9153),x9152,x9153))
% 3.09/3.12 [916]~P25(x9163)+E(f16(f8(x9161,x9162,x9163),f8(x9164,x9162,x9163),x9163),f8(f16(x9161,x9164,x9163),x9162,x9163))
% 3.09/3.12 [917]~P25(x9173)+E(f17(f8(x9171,x9172,x9173),f8(x9174,x9172,x9173),x9173),f8(f17(x9171,x9174,x9173),x9172,x9173))
% 3.09/3.12 [918]~P32(x9183)+E(f17(f16(x9181,x9182,x9183),f16(x9184,x9182,x9183),x9183),f16(f17(x9181,x9184,x9183),x9182,x9183))
% 3.09/3.12 [919]~P32(x9193)+E(f16(f17(x9191,x9192,x9193),f17(x9194,x9192,x9193),x9193),f17(f16(x9191,x9194,x9193),x9192,x9193))
% 3.09/3.12 [920]~P4(x9203)+E(f6(f13(x9201,x9202,x9203),f13(x9201,x9204,x9203),x9203),f13(x9201,f6(x9202,x9204,x9203),x9203))
% 3.09/3.12 [921]~P31(x9213)+E(f4(f13(x9211,x9212,x9213),f13(x9214,x9212,x9213),x9213),f13(f4(x9211,x9214,x9213),x9212,x9213))
% 3.09/3.12 [922]~P4(x9223)+E(f6(f13(x9221,x9222,x9223),f13(x9224,x9222,x9223),x9223),f13(f6(x9221,x9224,x9223),x9222,x9223))
% 3.09/3.12 [1079]~P11(x10794)+P6(f15(x10791,f14(x10792,x10793,x10794),x10794),f14(f15(x10791,x10792,x10794),f15(x10791,x10793,x10794),x10794),x10794)
% 3.09/3.12 [1080]~P32(x10804)+P6(f17(x10801,f16(x10802,x10803,x10804),x10804),f16(f17(x10801,x10802,x10804),f17(x10801,x10803,x10804),x10804),x10804)
% 3.09/3.12 [1081]~P11(x10813)+P6(f15(f14(x10811,x10812,x10813),f14(x10811,x10814,x10813),x10813),f14(x10811,f15(x10812,x10814,x10813),x10813),x10813)
% 3.09/3.12 [1082]~P32(x10823)+P6(f17(f16(x10821,x10822,x10823),f16(x10821,x10824,x10823),x10823),f16(x10821,f17(x10822,x10824,x10823),x10823),x10823)
% 3.09/3.12 [879]~P4(x8794)+E(f6(f4(x8791,f13(x8792,x8793,x8794),x8794),x8793,x8794),f6(x8791,x8793,x8794))
% 3.09/3.12 [880]~P4(x8804)+E(f6(f4(x8801,f13(x8802,x8803,x8804),x8804),x8802,x8804),f6(x8801,x8802,x8804))
% 3.09/3.12 [930]~P48(x9303)+E(f4(f10(x9301,x9302,x9303),f10(x9304,x9302,x9303),x9303),f10(f4(x9301,x9304,f22(x9303)),x9302,x9303))
% 3.09/3.12 [984]~P48(x9844)+E(f4(x9841,f13(x9842,f10(x9843,x9842,x9844),x9844),x9844),f10(f19(x9841,x9843,x9844),x9842,x9844))
% 3.09/3.12 [985]~P4(x9854)+E(f6(f13(x9851,f6(x9852,x9853,x9854),x9854),x9853,x9854),f6(f13(x9851,x9852,x9854),x9853,x9854))
% 3.09/3.12 [987]~P5(x9874)+E(f6(f8(x9871,f6(x9872,x9873,x9874),x9874),x9873,x9874),f6(f8(x9871,x9872,x9874),x9873,x9874))
% 3.09/3.12 [990]~P5(x9903)+E(f6(f8(f6(x9901,x9902,x9903),x9904,x9903),x9902,x9903),f6(f8(x9901,x9904,x9903),x9902,x9903))
% 3.09/3.12 [991]~P4(x9914)+E(f6(f4(x9911,f6(x9912,x9913,x9914),x9914),x9913,x9914),f6(f4(x9911,x9912,x9914),x9913,x9914))
% 3.09/3.12 [992]~P4(x9923)+E(f6(f13(f6(x9921,x9922,x9923),x9924,x9923),x9922,x9923),f6(f13(x9921,x9924,x9923),x9922,x9923))
% 3.09/3.12 [993]~P4(x9933)+E(f6(f4(f6(x9931,x9932,x9933),x9934,x9933),x9932,x9933),f6(f4(x9931,x9934,x9933),x9932,x9933))
% 3.09/3.12 [1061]~P4(x10613)+E(f6(f13(f6(x10611,x10612,x10613),f6(x10614,x10612,x10613),x10613),x10612,x10613),f6(f13(x10611,x10614,x10613),x10612,x10613))
% 3.09/3.12 [1062]~P4(x10623)+E(f6(f4(f6(x10621,x10622,x10623),f6(x10624,x10622,x10623),x10623),x10622,x10623),f6(f4(x10621,x10624,x10623),x10622,x10623))
% 3.09/3.12 [1063]~P5(x10633)+E(f6(f8(f6(x10631,x10632,x10633),f6(x10634,x10632,x10633),x10633),x10632,x10633),f6(f8(x10631,x10634,x10633),x10632,x10633))
% 3.09/3.12 [994]~P31(x9943)+E(f13(f13(x9941,x9942,x9943),f13(x9944,x9945,x9943),x9943),f13(f13(x9941,x9944,x9943),f13(x9942,x9945,x9943),x9943))
% 3.09/3.12 [995]~P31(x9953)+E(f4(f4(x9951,x9952,x9953),f4(x9954,x9955,x9953),x9953),f4(f4(x9951,x9954,x9953),f4(x9952,x9955,x9953),x9953))
% 3.09/3.12 [996]~P17(x9963)+E(f8(f4(x9961,x9962,x9963),f4(x9964,x9965,x9963),x9963),f4(f8(x9961,x9964,x9963),f8(x9962,x9965,x9963),x9963))
% 3.09/3.12 [1008]~P21(x10083)+E(f19(f4(x10081,x10082,x10083),f4(x10084,x10085,f22(x10083)),x10083),f4(f19(x10081,x10084,x10083),f19(x10082,x10085,x10083),f22(x10083)))
% 3.09/3.12 [1076]~P71(x10763)+E(f4(f13(x10761,x10762,x10763),f4(f13(x10764,x10762,x10763),x10765,x10763),x10763),f4(f13(f4(x10761,x10764,x10763),x10762,x10763),x10765,x10763))
% 3.09/3.12 [1102]~P13(x11023)+P6(f5(f8(f4(x11021,x11022,x11023),f4(x11024,x11025,x11023),x11023),x11023),f4(f5(f8(x11021,x11024,x11023),x11023),f5(f8(x11022,x11025,x11023),x11023),x11023),x11023)
% 3.09/3.12 [1103]~P42(x11033)+E(f4(f4(f13(f8(x11031,x11032,x11033),f8(x11034,x11035,x11033),x11033),f13(f8(x11031,x11032,x11033),x11035,x11033),x11033),f13(x11032,f8(x11034,x11035,x11033),x11033),x11033),f8(f13(x11031,x11034,x11033),f13(x11032,x11035,x11033),x11033))
% 3.09/3.12 [1089]~P67(x10893)+E(f4(f13(x10891,x10892,x10893),f4(f13(f8(x10894,x10891,x10893),x10892,x10893),x10895,x10893),x10893),f4(f13(x10894,x10892,x10893),x10895,x10893))
% 3.09/3.12 [1101]~P45(x11014)+E(f4(f13(x11011,f9(f8(x11012,x11013,x11014),x11015,x11014),x11014),f13(f9(f8(x11011,x11016,x11014),x11015,x11014),x11013,x11014),x11014),f9(f8(f13(x11011,x11012,x11014),f13(x11016,x11013,x11014),x11014),x11015,x11014))
% 3.09/3.12 [538]~P33(x5381)+~P6(f11(x5381),f11(x5381),x5381)+E(f4(f11(x5381),f11(x5381),x5381),f11(x5381))
% 3.09/3.12 [841]~E(f18(x8411,a2),f18(a25,a2))+P72(a500)+~E(f10(x8411,f26(x8411),a2),f10(a25,f4(a27,f26(x8411),a2),a2))
% 3.09/3.12 [1073]~E(f18(x10731,a2),f18(a25,a2))+P72(a500)+~E(f10(x10731,f28(a25,x10731,a27),a2),f10(a25,f4(a27,f28(a25,x10731,a27),a2),a2))
% 3.09/3.12 [326]~P27(x3262)+~E(f12(x3261,x3262),x3261)+E(x3261,f11(x3262))
% 3.09/3.12 [327]~P13(x3272)+~E(f5(x3271,x3272),f11(x3272))+E(x3271,f11(x3272))
% 3.09/3.12 [328]~P20(x3282)+~E(f12(x3281,x3282),f11(x3282))+E(x3281,f11(x3282))
% 3.09/3.12 [329]~P20(x3291)+~E(f12(x3292,x3291),f11(x3291))+E(f11(x3291),x3292)
% 3.09/3.12 [377]~P52(x3772)+~P9(x3772)+E(f8(x3771,x3771,x3772),f11(x3772))
% 3.09/3.12 [385]~P46(x3852)+P8(x3851,f11(x3852),x3852)+E(f5(x3851,x3852),x3851)
% 3.09/3.12 [397]~P13(x3972)+P8(f11(x3972),f5(x3971,x3972),x3972)+E(x3971,f11(x3972))
% 3.09/3.12 [401]~P14(x4012)+~E(f4(x4011,x4011,x4012),f11(x4012))+E(x4011,f11(x4012))
% 3.09/3.12 [405]~P31(x4052)+~P7(f11(x4052),x4051,x4052)+E(x4051,f11(x4052))
% 3.09/3.12 [429]~P13(x4292)+~P6(f11(x4292),x4291,x4292)+E(f5(x4291,x4292),x4291)
% 3.09/3.12 [430]~P13(x4302)+~P8(f11(x4302),x4301,x4302)+E(f5(x4301,x4302),x4301)
% 3.09/3.12 [437]~P13(x4372)+~P6(x4371,f11(x4372),x4372)+E(f5(x4371,x4372),f12(x4371,x4372))
% 3.09/3.12 [438]~P13(x4382)+~P8(x4381,f11(x4382),x4382)+E(f5(x4381,x4382),f12(x4381,x4382))
% 3.09/3.12 [439]~P46(x4392)+~P8(x4391,f11(x4392),x4392)+E(f5(x4391,x4392),f12(x4391,x4392))
% 3.09/3.12 [462]~P13(x4622)+~P6(f5(x4621,x4622),f11(x4622),x4622)+E(x4621,f11(x4622))
% 3.09/3.12 [539]~P14(x5392)+~P6(x5391,f11(x5392),x5392)+P6(x5391,f12(x5391,x5392),x5392)
% 3.09/3.12 [540]~P27(x5402)+~P6(x5401,f11(x5402),x5402)+P6(x5401,f12(x5401,x5402),x5402)
% 3.09/3.12 [541]~P12(x5412)+~P8(x5411,f11(x5412),x5412)+P8(x5411,f12(x5411,x5412),x5412)
% 3.09/3.12 [542]~P14(x5422)+~P6(f11(x5422),x5421,x5422)+P6(f12(x5421,x5422),x5421,x5422)
% 3.09/3.12 [543]~P27(x5432)+~P6(f11(x5432),x5431,x5432)+P6(f12(x5431,x5432),x5431,x5432)
% 3.09/3.12 [552]~P25(x5521)+~P6(x5522,f11(x5521),x5521)+P6(f11(x5521),f12(x5522,x5521),x5521)
% 3.09/3.12 [553]~P25(x5531)+~P8(x5532,f11(x5531),x5531)+P8(f11(x5531),f12(x5532,x5531),x5531)
% 3.09/3.12 [554]~P25(x5542)+~P6(f11(x5542),x5541,x5542)+P6(f12(x5541,x5542),f11(x5542),x5542)
% 3.09/3.12 [555]~P25(x5552)+~P8(f11(x5552),x5551,x5552)+P8(f12(x5551,x5552),f11(x5552),x5552)
% 3.09/3.12 [558]~P14(x5582)+~P6(x5581,f12(x5581,x5582),x5582)+P6(x5581,f11(x5582),x5582)
% 3.09/3.12 [559]~P27(x5592)+~P6(x5591,f12(x5591,x5592),x5592)+P6(x5591,f11(x5592),x5592)
% 3.09/3.12 [560]~P12(x5602)+~P8(x5601,f12(x5601,x5602),x5602)+P8(x5601,f11(x5602),x5602)
% 3.09/3.12 [561]~P14(x5611)+~P6(f12(x5612,x5611),x5612,x5611)+P6(f11(x5611),x5612,x5611)
% 3.09/3.12 [562]~P27(x5621)+~P6(f12(x5622,x5621),x5622,x5621)+P6(f11(x5621),x5622,x5621)
% 3.09/3.12 [569]~P25(x5692)+~P6(f11(x5692),f12(x5691,x5692),x5692)+P6(x5691,f11(x5692),x5692)
% 3.09/3.12 [570]~P25(x5702)+~P8(f11(x5702),f12(x5701,x5702),x5702)+P8(x5701,f11(x5702),x5702)
% 3.09/3.12 [571]~P25(x5711)+~P6(f12(x5712,x5711),f11(x5711),x5711)+P6(f11(x5711),x5712,x5711)
% 3.09/3.12 [572]~P25(x5721)+~P8(f12(x5722,x5721),f11(x5721),x5721)+P8(f11(x5721),x5722,x5721)
% 3.09/3.12 [659]~P14(x6591)+~P6(f11(x6591),x6592,x6591)+P6(f11(x6591),f4(x6592,x6592,x6591),x6591)
% 3.09/3.12 [660]~P14(x6601)+~P8(f11(x6601),x6602,x6601)+P8(f11(x6601),f4(x6602,x6602,x6601),x6601)
% 3.09/3.12 [661]~P14(x6612)+~P6(x6611,f11(x6612),x6612)+P6(f4(x6611,x6611,x6612),f11(x6612),x6612)
% 3.09/3.12 [662]~P12(x6622)+~P8(x6621,f11(x6622),x6622)+P8(f4(x6621,x6621,x6622),f11(x6622),x6622)
% 3.09/3.12 [663]~P14(x6632)+~P8(x6631,f11(x6632),x6632)+P8(f4(x6631,x6631,x6632),f11(x6632),x6632)
% 3.09/3.12 [750]~P14(x7502)+~P6(f4(x7501,x7501,x7502),f11(x7502),x7502)+P6(x7501,f11(x7502),x7502)
% 3.09/3.12 [751]~P12(x7512)+~P8(f4(x7511,x7511,x7512),f11(x7512),x7512)+P8(x7511,f11(x7512),x7512)
% 3.09/3.12 [752]~P14(x7522)+~P8(f4(x7521,x7521,x7522),f11(x7522),x7522)+P8(x7521,f11(x7522),x7522)
% 3.09/3.12 [753]~P14(x7531)+~P6(f11(x7531),f4(x7532,x7532,x7531),x7531)+P6(f11(x7531),x7532,x7531)
% 3.09/3.12 [754]~P14(x7541)+~P8(f11(x7541),f4(x7542,x7542,x7541),x7541)+P8(f11(x7541),x7542,x7541)
% 3.09/3.12 [379]~P52(x3792)+~P9(x3792)+E(f4(x3791,f11(x3792),x3792),x3791)
% 3.09/3.12 [383]~P53(x3832)+~P55(x3832)+E(f9(x3831,f11(x3832),x3832),f11(x3832))
% 3.09/3.12 [449]~P14(x4492)+E(x4491,f11(x4492))+~E(f14(x4491,f12(x4491,x4492),x4492),f11(x4492))
% 3.09/3.12 [450]~P14(x4502)+E(x4501,f11(x4502))+~E(f15(x4501,f12(x4501,x4502),x4502),f11(x4502))
% 3.09/3.12 [557]~P53(x5571)+~P55(x5571)+E(f9(f13(f11(x5571),x5572,x5571),x5572,x5571),f11(x5571))
% 3.09/3.12 [424]P6(x4242,x4241,x4243)+~P32(x4243)+P6(x4241,x4242,x4243)
% 3.09/3.12 [427]P8(x4272,x4271,x4273)+~P32(x4273)+P6(x4271,x4272,x4273)
% 3.09/3.12 [452]~P38(x4523)+~P8(x4521,x4522,x4523)+P6(x4521,x4522,x4523)
% 3.09/3.12 [453]~P43(x4533)+~P8(x4531,x4532,x4533)+P6(x4531,x4532,x4533)
% 3.09/3.12 [516]~P8(x5163,x5162,x5161)+~P32(x5161)+~P6(x5162,x5163,x5161)
% 3.09/3.12 [518]~P8(x5183,x5182,x5181)+~P32(x5181)+~P8(x5182,x5183,x5181)
% 3.09/3.12 [519]~P8(x5193,x5192,x5191)+~P38(x5191)+~P8(x5192,x5193,x5191)
% 3.09/3.12 [520]~P8(x5203,x5202,x5201)+~P43(x5201)+~P6(x5202,x5203,x5201)
% 3.09/3.12 [522]~P8(x5223,x5222,x5221)+~P43(x5221)+~P8(x5222,x5223,x5221)
% 3.09/3.12 [335]~P10(x3353)+E(x3351,x3352)+~E(f12(x3351,x3353),f12(x3352,x3353))
% 3.09/3.12 [336]~P20(x3363)+E(x3361,x3362)+~E(f12(x3361,x3363),f12(x3362,x3363))
% 3.09/3.12 [399]~P20(x3993)+E(x3991,x3992)+~E(f8(x3991,x3992,x3993),f11(x3993))
% 3.09/3.12 [400]~P17(x4003)+E(x4001,x4002)+~E(f8(x4001,x4002,x4003),f11(x4003))
% 3.09/3.12 [403]~P12(x4033)+P7(x4031,x4032,x4033)+~E(f5(x4031,x4033),f5(x4032,x4033))
% 3.09/3.12 [411]~P20(x4113)+~E(f4(x4111,x4112,x4113),f11(x4113))+E(x4111,f12(x4112,x4113))
% 3.09/3.12 [412]~P20(x4122)+~E(f4(x4121,x4123,x4122),f11(x4122))+E(f12(x4121,x4122),x4123)
% 3.09/3.12 [454]~P1(x4543)+~P6(x4542,x4541,x4543)+E(f14(x4541,x4542,x4543),x4542)
% 3.09/3.12 [455]~P1(x4553)+~P6(x4551,x4552,x4553)+E(f14(x4551,x4552,x4553),x4551)
% 3.09/3.12 [456]~P15(x4563)+~P6(x4561,x4562,x4563)+E(f15(x4561,x4562,x4563),x4562)
% 3.09/3.12 [457]~P15(x4573)+~P6(x4572,x4571,x4573)+E(f15(x4571,x4572,x4573),x4571)
% 3.09/3.12 [458]~P32(x4583)+~P6(x4582,x4581,x4583)+E(f16(x4581,x4582,x4583),x4582)
% 3.09/3.12 [459]~P32(x4593)+~P6(x4591,x4592,x4593)+E(f16(x4591,x4592,x4593),x4591)
% 3.09/3.12 [460]~P32(x4603)+~P6(x4601,x4602,x4603)+E(f17(x4601,x4602,x4603),x4602)
% 3.09/3.12 [461]~P32(x4613)+~P6(x4612,x4611,x4613)+E(f17(x4611,x4612,x4613),x4611)
% 3.09/3.12 [463]~P1(x4633)+P6(x4631,x4632,x4633)+~E(f14(x4631,x4632,x4633),x4631)
% 3.09/3.12 [464]~P15(x4643)+P6(x4641,x4642,x4643)+~E(f15(x4641,x4642,x4643),x4642)
% 3.09/3.12 [465]~P32(x4653)+P6(x4651,x4652,x4653)+~E(f16(x4651,x4652,x4653),x4651)
% 3.09/3.12 [466]~P32(x4663)+P6(x4661,x4662,x4663)+~E(f17(x4661,x4662,x4663),x4662)
% 3.09/3.12 [475]~P4(x4753)+~P7(x4752,x4751,x4753)+E(f6(x4751,x4752,x4753),f11(x4753))
% 3.09/3.12 [476]~P4(x4763)+P7(x4761,x4762,x4763)+~E(f6(x4762,x4761,x4763),f11(x4763))
% 3.09/3.12 [507]~P12(x5073)+~P7(x5071,x5072,x5073)+P7(x5071,f5(x5072,x5073),x5073)
% 3.09/3.12 [508]~P47(x5083)+~P7(x5081,x5082,x5083)+P7(x5081,f12(x5082,x5083),x5083)
% 3.09/3.12 [509]~P12(x5092)+~P7(x5091,x5093,x5092)+P7(f5(x5091,x5092),x5093,x5092)
% 3.09/3.12 [510]~P47(x5102)+~P7(x5101,x5103,x5102)+P7(f12(x5101,x5102),x5103,x5102)
% 3.09/3.12 [546]~P12(x5463)+P7(x5461,x5462,x5463)+~P7(x5461,f5(x5462,x5463),x5463)
% 3.09/3.12 [547]~P47(x5473)+P7(x5471,x5472,x5473)+~P7(x5471,f12(x5472,x5473),x5473)
% 3.09/3.12 [548]~P13(x5483)+P6(x5481,x5482,x5483)+~P6(f5(x5481,x5483),x5482,x5483)
% 3.09/3.12 [549]~P12(x5493)+P8(x5491,x5492,x5493)+~P8(f5(x5491,x5493),x5492,x5493)
% 3.09/3.12 [550]~P12(x5503)+P7(x5501,x5502,x5503)+~P7(f5(x5501,x5503),x5502,x5503)
% 3.09/3.12 [551]~P47(x5513)+P7(x5511,x5512,x5513)+~P7(f12(x5511,x5513),x5512,x5513)
% 3.09/3.12 [566]~P25(x5662)+~P6(x5663,x5661,x5662)+P6(f12(x5661,x5662),f12(x5663,x5662),x5662)
% 3.09/3.12 [567]~P25(x5672)+~P8(x5673,x5671,x5672)+P8(f12(x5671,x5672),f12(x5673,x5672),x5672)
% 3.09/3.12 [586]~P25(x5863)+~P6(x5862,f12(x5861,x5863),x5863)+P6(x5861,f12(x5862,x5863),x5863)
% 3.09/3.12 [588]~P25(x5883)+~P8(x5882,f12(x5881,x5883),x5883)+P8(x5881,f12(x5882,x5883),x5883)
% 3.09/3.12 [589]~P13(x5892)+~P6(f5(x5891,x5892),x5893,x5892)+P6(f12(x5891,x5892),x5893,x5892)
% 3.09/3.12 [591]~P25(x5912)+~P6(f12(x5913,x5912),x5911,x5912)+P6(f12(x5911,x5912),x5913,x5912)
% 3.09/3.12 [592]~P12(x5922)+~P8(f5(x5921,x5922),x5923,x5922)+P8(f12(x5921,x5922),x5923,x5922)
% 3.09/3.12 [594]~P25(x5942)+~P8(f12(x5943,x5942),x5941,x5942)+P8(f12(x5941,x5942),x5943,x5942)
% 3.09/3.12 [608]~P25(x6083)+P6(x6081,x6082,x6083)+~P6(f12(x6082,x6083),f12(x6081,x6083),x6083)
% 3.09/3.12 [609]~P25(x6093)+P8(x6091,x6092,x6093)+~P8(f12(x6092,x6093),f12(x6091,x6093),x6093)
% 3.09/3.12 [657]~P25(x6573)+~P6(x6571,x6572,x6573)+P6(f8(x6571,x6572,x6573),f11(x6573),x6573)
% 3.09/3.12 [658]~P25(x6583)+~P8(x6581,x6582,x6583)+P8(f8(x6581,x6582,x6583),f11(x6583),x6583)
% 3.09/3.12 [677]~P14(x6773)+~P6(x6771,f12(x6772,x6773),x6773)+P6(f4(x6771,x6772,x6773),f11(x6773),x6773)
% 3.09/3.12 [707]~P25(x7073)+P6(x7071,x7072,x7073)+~P6(f8(x7071,x7072,x7073),f11(x7073),x7073)
% 3.09/3.12 [708]~P25(x7083)+P8(x7081,x7082,x7083)+~P8(f8(x7081,x7082,x7083),f11(x7083),x7083)
% 3.09/3.12 [779]~P14(x7793)+~P6(f4(x7791,x7792,x7793),f11(x7793),x7793)+P6(x7791,f12(x7792,x7793),x7793)
% 3.09/3.12 [506]~P55(x5062)+E(x5061,f11(x5062))+E(f9(f12(x5063,x5062),f12(x5061,x5062),x5062),f9(x5063,x5061,x5062))
% 3.09/3.12 [513]~P55(x5132)+E(x5131,f11(x5132))+E(f9(f13(x5133,x5131,x5132),x5131,x5132),x5133)
% 3.09/3.12 [514]~P53(x5142)+~P55(x5142)+E(f9(f12(x5141,x5142),f12(x5143,x5142),x5142),f9(x5141,x5143,x5142))
% 3.09/3.12 [584]~P55(x5842)+E(x5841,f11(x5842))+E(f9(x5843,f12(x5841,x5842),x5842),f12(f9(x5843,x5841,x5842),x5842))
% 3.09/3.12 [595]~P53(x5953)+~P55(x5953)+E(f9(x5951,f12(x5952,x5953),x5953),f12(f9(x5951,x5952,x5953),x5953))
% 3.09/3.12 [627]~P57(x6272)+E(x6271,f11(x6272))+E(f9(f5(x6273,x6272),f5(x6271,x6272),x6272),f5(f9(x6273,x6271,x6272),x6272))
% 3.09/3.12 [628]~P57(x6282)+~P53(x6282)+E(f9(f5(x6281,x6282),f5(x6283,x6282),x6282),f5(f9(x6281,x6283,x6282),x6282))
% 3.09/3.12 [678]~P12(x6782)+~P6(f11(x6782),x6783,x6782)+E(f13(f5(x6781,x6782),x6783,x6782),f5(f13(x6781,x6783,x6782),x6782))
% 3.09/3.12 [923]~P61(x9232)+E(x9231,f11(x9232))+~E(f4(f13(x9233,x9233,x9232),f13(x9231,x9231,x9232),x9232),f11(x9232))
% 3.09/3.12 [924]~P61(x9242)+E(x9241,f11(x9242))+~E(f4(f13(x9241,x9241,x9242),f13(x9243,x9243,x9242),x9242),f11(x9242))
% 3.09/3.12 [1036]~P61(x10362)+E(x10361,f11(x10362))+P8(f11(x10362),f4(f13(x10363,x10363,x10362),f13(x10361,x10361,x10362),x10362),x10362)
% 3.09/3.12 [1037]~P61(x10372)+E(x10371,f11(x10372))+P8(f11(x10372),f4(f13(x10371,x10371,x10372),f13(x10373,x10373,x10372),x10372),x10372)
% 3.09/3.12 [1084]~P61(x10842)+E(x10841,f11(x10842))+~P6(f4(f13(x10843,x10843,x10842),f13(x10841,x10841,x10842),x10842),f11(x10842),x10842)
% 3.09/3.12 [1085]~P61(x10852)+E(x10851,f11(x10852))+~P6(f4(f13(x10851,x10851,x10852),f13(x10853,x10853,x10852),x10852),f11(x10852),x10852)
% 3.09/3.12 [524]~P22(x5244)+E(x5241,x5242)+~E(f4(x5243,x5241,x5244),f4(x5243,x5242,x5244))
% 3.09/3.12 [525]~P23(x5254)+E(x5251,x5252)+~E(f4(x5253,x5251,x5254),f4(x5253,x5252,x5254))
% 3.09/3.12 [526]~P17(x5264)+E(x5261,x5262)+~E(f8(x5263,x5263,x5264),f8(x5261,x5262,x5264))
% 3.09/3.12 [528]~P22(x5284)+E(x5281,x5282)+~E(f4(x5281,x5283,x5284),f4(x5282,x5283,x5284))
% 3.09/3.12 [529]~P17(x5293)+E(x5291,x5292)+~E(f8(x5291,x5292,x5293),f8(x5294,x5294,x5293))
% 3.09/3.12 [631]~P15(x6314)+~P6(x6311,x6313,x6314)+P6(x6311,f15(x6312,x6313,x6314),x6314)
% 3.09/3.12 [632]~P15(x6324)+~P6(x6321,x6322,x6324)+P6(x6321,f15(x6322,x6323,x6324),x6324)
% 3.09/3.12 [634]~P32(x6344)+~P6(x6341,x6343,x6344)+P6(x6341,f17(x6342,x6343,x6344),x6344)
% 3.09/3.12 [636]~P32(x6364)+~P6(x6361,x6362,x6364)+P6(x6361,f17(x6362,x6363,x6364),x6364)
% 3.09/3.12 [637]~P15(x6374)+~P8(x6371,x6373,x6374)+P8(x6371,f15(x6372,x6373,x6374),x6374)
% 3.09/3.12 [638]~P15(x6384)+~P8(x6381,x6382,x6384)+P8(x6381,f15(x6382,x6383,x6384),x6384)
% 3.09/3.12 [640]~P32(x6404)+~P8(x6401,x6403,x6404)+P8(x6401,f17(x6402,x6403,x6404),x6404)
% 3.09/3.12 [642]~P32(x6424)+~P8(x6421,x6422,x6424)+P8(x6421,f17(x6422,x6423,x6424),x6424)
% 3.09/3.12 [643]~P31(x6434)+~P7(x6431,x6433,x6434)+P7(x6431,f13(x6432,x6433,x6434),x6434)
% 3.09/3.12 [644]~P31(x6444)+~P7(x6441,x6442,x6444)+P7(x6441,f13(x6442,x6443,x6444),x6444)
% 3.09/3.12 [645]~P1(x6453)+~P6(x6452,x6454,x6453)+P6(f14(x6451,x6452,x6453),x6454,x6453)
% 3.09/3.12 [646]~P1(x6463)+~P6(x6461,x6464,x6463)+P6(f14(x6461,x6462,x6463),x6464,x6463)
% 3.09/3.12 [648]~P32(x6483)+~P6(x6482,x6484,x6483)+P6(f16(x6481,x6482,x6483),x6484,x6483)
% 3.09/3.12 [650]~P32(x6503)+~P6(x6501,x6504,x6503)+P6(f16(x6501,x6502,x6503),x6504,x6503)
% 3.09/3.12 [651]~P1(x6513)+~P8(x6512,x6514,x6513)+P8(f14(x6511,x6512,x6513),x6514,x6513)
% 3.09/3.12 [652]~P1(x6523)+~P8(x6521,x6524,x6523)+P8(f14(x6521,x6522,x6523),x6524,x6523)
% 3.09/3.12 [654]~P32(x6543)+~P8(x6542,x6544,x6543)+P8(f16(x6541,x6542,x6543),x6544,x6543)
% 3.09/3.12 [656]~P32(x6563)+~P8(x6561,x6564,x6563)+P8(f16(x6561,x6562,x6563),x6564,x6563)
% 3.09/3.12 [682]~P1(x6823)+P6(x6821,x6822,x6823)+~P6(x6821,f14(x6824,x6822,x6823),x6823)
% 3.09/3.12 [684]~P1(x6843)+P6(x6841,x6842,x6843)+~P6(x6841,f14(x6842,x6844,x6843),x6843)
% 3.09/3.12 [686]~P32(x6863)+P6(x6861,x6862,x6863)+~P6(x6861,f16(x6864,x6862,x6863),x6863)
% 3.09/3.12 [688]~P32(x6883)+P6(x6881,x6882,x6883)+~P6(x6881,f16(x6882,x6884,x6883),x6883)
% 3.09/3.12 [689]~P32(x6893)+P8(x6891,x6892,x6893)+~P8(x6891,f16(x6894,x6892,x6893),x6893)
% 3.09/3.12 [690]~P32(x6903)+P8(x6901,x6902,x6903)+~P8(x6901,f16(x6902,x6904,x6903),x6903)
% 3.09/3.12 [692]~P32(x6923)+P6(x6921,x6922,x6923)+~P6(f17(x6924,x6921,x6923),x6922,x6923)
% 3.09/3.12 [694]~P32(x6943)+P6(x6941,x6942,x6943)+~P6(f17(x6941,x6944,x6943),x6942,x6943)
% 3.09/3.12 [696]~P15(x6963)+P6(x6961,x6962,x6963)+~P6(f15(x6964,x6961,x6963),x6962,x6963)
% 3.09/3.12 [698]~P15(x6983)+P6(x6981,x6982,x6983)+~P6(f15(x6981,x6984,x6983),x6982,x6983)
% 3.09/3.12 [699]~P32(x6993)+P8(x6991,x6992,x6993)+~P8(f17(x6994,x6991,x6993),x6992,x6993)
% 3.09/3.12 [700]~P32(x7003)+P8(x7001,x7002,x7003)+~P8(f17(x7001,x7004,x7003),x7002,x7003)
% 3.09/3.12 [701]~P31(x7013)+P7(x7011,x7012,x7013)+~P7(f13(x7014,x7011,x7013),x7012,x7013)
% 3.09/3.12 [702]~P31(x7023)+P7(x7021,x7022,x7023)+~P7(f13(x7021,x7024,x7023),x7022,x7023)
% 3.09/3.12 [784]~P34(x7843)+~P6(x7841,x7844,x7843)+P6(f4(x7841,x7842,x7843),f4(x7844,x7842,x7843),x7843)
% 3.09/3.12 [785]~P35(x7853)+~P6(x7851,x7854,x7853)+P6(f4(x7851,x7852,x7853),f4(x7854,x7852,x7853),x7853)
% 3.09/3.12 [786]~P34(x7863)+~P6(x7862,x7864,x7863)+P6(f4(x7861,x7862,x7863),f4(x7861,x7864,x7863),x7863)
% 3.09/3.12 [787]~P35(x7873)+~P6(x7872,x7874,x7873)+P6(f4(x7871,x7872,x7873),f4(x7871,x7874,x7873),x7873)
% 3.09/3.12 [788]~P34(x7883)+~P8(x7881,x7884,x7883)+P8(f4(x7881,x7882,x7883),f4(x7884,x7882,x7883),x7883)
% 3.09/3.12 [789]~P36(x7893)+~P8(x7891,x7894,x7893)+P8(f4(x7891,x7892,x7893),f4(x7894,x7892,x7893),x7893)
% 3.09/3.12 [790]~P34(x7903)+~P8(x7902,x7904,x7903)+P8(f4(x7901,x7902,x7903),f4(x7901,x7904,x7903),x7903)
% 3.09/3.12 [791]~P36(x7913)+~P8(x7912,x7914,x7913)+P8(f4(x7911,x7912,x7913),f4(x7911,x7914,x7913),x7913)
% 3.09/3.12 [792]~P52(x7923)+~P7(x7921,x7924,x7923)+P7(f13(x7921,x7922,x7923),f13(x7924,x7922,x7923),x7923)
% 3.09/3.12 [793]~P52(x7933)+~P7(x7932,x7934,x7933)+P7(f13(x7931,x7932,x7933),f13(x7931,x7934,x7933),x7933)
% 3.09/3.12 [958]~P34(x9583)+P6(x9581,x9582,x9583)+~P6(f4(x9584,x9581,x9583),f4(x9584,x9582,x9583),x9583)
% 3.09/3.12 [959]~P34(x9593)+P6(x9591,x9592,x9593)+~P6(f4(x9591,x9594,x9593),f4(x9592,x9594,x9593),x9593)
% 3.09/3.12 [960]~P34(x9603)+P8(x9601,x9602,x9603)+~P8(f4(x9604,x9601,x9603),f4(x9604,x9602,x9603),x9603)
% 3.09/3.12 [961]~P34(x9613)+P8(x9611,x9612,x9613)+~P8(f4(x9611,x9614,x9613),f4(x9612,x9614,x9613),x9613)
% 3.09/3.12 [665]~P17(x6653)+E(x6651,f12(x6652,x6653))+~E(f4(x6651,f4(x6654,x6652,x6653),x6653),x6654)
% 3.09/3.12 [679]~P4(x6793)+~P7(x6794,x6792,x6793)+E(f6(f6(x6791,x6792,x6793),x6794,x6793),f6(x6791,x6794,x6793))
% 3.09/3.12 [755]~P53(x7553)+~P55(x7553)+E(f9(f13(x7551,x7552,x7553),x7554,x7553),f13(f9(x7551,x7554,x7553),x7552,x7553))
% 3.09/3.12 [757]~P5(x7572)+~E(f6(x7571,x7573,x7572),f6(x7574,x7573,x7572))+E(f6(f12(x7571,x7572),x7573,x7572),f6(f12(x7574,x7572),x7573,x7572))
% 3.09/3.12 [957]~P26(x9574)+~P6(f4(x9571,x9573,x9574),x9572,x9574)+P6(x9571,f4(x9572,f5(x9573,x9574),x9574),x9574)
% 3.09/3.12 [1002]~P52(x10023)+~P9(x10023)+E(f4(f13(x10021,x10022,x10023),f13(x10021,x10024,x10023),x10023),f4(f13(x10021,x10024,x10023),f13(x10021,x10022,x10023),x10023))
% 3.09/3.12 [1038]~P12(x10384)+P8(x10381,f4(x10382,x10383,x10384),x10384)+~P8(f5(f8(x10381,x10382,x10384),x10384),x10383,x10384)
% 3.09/3.12 [1039]~P12(x10393)+P8(f8(x10391,x10392,x10393),x10394,x10393)+~P8(f5(f8(x10394,x10391,x10393),x10393),x10392,x10393)
% 3.09/3.12 [523]~P3(x5234)+E(x5231,x5232)+~E(f19(x5233,x5231,x5234),f19(x5235,x5232,x5234))
% 3.09/3.12 [527]~P3(x5274)+E(x5271,x5272)+~E(f19(x5271,x5273,x5274),f19(x5272,x5275,x5274))
% 3.09/3.12 [870]~P17(x8703)+E(f4(x8701,x8702,x8703),x8704)+~E(f4(x8701,f4(x8705,x8702,x8703),x8703),f4(x8705,x8704,x8703))
% 3.09/3.12 [1003]~P53(x10033)+~P55(x10033)+E(f9(f13(x10031,x10032,x10033),f13(x10034,x10035,x10033),x10033),f13(f9(x10031,x10034,x10033),f9(x10032,x10035,x10033),x10033))
% 3.09/3.12 [1077]~P67(x10774)+~E(f4(f13(x10773,x10775,x10774),x10771,x10774),f4(f13(x10772,x10775,x10774),x10776,x10774))+E(x10771,f4(f13(f8(x10772,x10773,x10774),x10775,x10774),x10776,x10774))
% 3.09/3.12 [1078]~P67(x10783)+~E(f4(f13(x10781,x10784,x10783),x10785,x10783),f4(f13(x10782,x10784,x10783),x10786,x10783))+E(f4(f13(f8(x10781,x10782,x10783),x10784,x10783),x10785,x10783),x10786)
% 3.09/3.12 [1093]~P65(x10934)+~P6(f4(f13(x10933,x10935,x10934),x10931,x10934),f4(f13(x10932,x10935,x10934),x10936,x10934),x10934)+P6(x10931,f4(f13(f8(x10932,x10933,x10934),x10935,x10934),x10936,x10934),x10934)
% 3.09/3.12 [1094]~P65(x10944)+~P8(f4(f13(x10943,x10945,x10944),x10941,x10944),f4(f13(x10942,x10945,x10944),x10946,x10944),x10944)+P8(x10941,f4(f13(f8(x10942,x10943,x10944),x10945,x10944),x10946,x10944),x10944)
% 3.09/3.12 [1095]~P65(x10953)+~P6(f4(f13(x10951,x10954,x10953),x10955,x10953),f4(f13(x10952,x10954,x10953),x10956,x10953),x10953)+P6(f4(f13(f8(x10951,x10952,x10953),x10954,x10953),x10955,x10953),x10956,x10953)
% 3.09/3.12 [1096]~P65(x10963)+~P8(f4(f13(x10961,x10964,x10963),x10965,x10963),f4(f13(x10962,x10964,x10963),x10966,x10963),x10963)+P8(f4(f13(f8(x10961,x10962,x10963),x10964,x10963),x10965,x10963),x10966,x10963)
% 3.09/3.12 [1097]~P65(x10973)+P6(f4(f13(x10971,x10972,x10973),x10974,x10973),f4(f13(x10975,x10972,x10973),x10976,x10973),x10973)+~P6(x10974,f4(f13(f8(x10975,x10971,x10973),x10972,x10973),x10976,x10973),x10973)
% 3.09/3.12 [1098]~P65(x10983)+P8(f4(f13(x10981,x10982,x10983),x10984,x10983),f4(f13(x10985,x10982,x10983),x10986,x10983),x10983)+~P8(x10984,f4(f13(f8(x10985,x10981,x10983),x10982,x10983),x10986,x10983),x10983)
% 3.09/3.12 [1099]~P65(x10993)+P6(f4(f13(x10991,x10992,x10993),x10994,x10993),f4(f13(x10995,x10992,x10993),x10996,x10993),x10993)+~P6(f4(f13(f8(x10991,x10995,x10993),x10992,x10993),x10994,x10993),x10996,x10993)
% 3.09/3.12 [1100]~P65(x11003)+P8(f4(f13(x11001,x11002,x11003),x11004,x11003),f4(f13(x11005,x11002,x11003),x11006,x11003),x11003)+~P8(f4(f13(f8(x11001,x11005,x11003),x11002,x11003),x11004,x11003),x11006,x11003)
% 3.09/3.12 [388]~P32(x3882)+~P26(x3882)+P8(x3881,f11(x3882),x3882)+E(f5(x3881,x3882),x3881)
% 3.09/3.12 [440]~P32(x4402)+~P26(x4402)+~P8(x4401,f11(x4402),x4402)+E(f5(x4401,x4402),f12(x4401,x4402))
% 3.09/3.12 [477]~P32(x4772)+~P14(x4772)+P8(x4771,f11(x4772),x4772)+E(f15(x4771,f12(x4771,x4772),x4772),x4771)
% 3.09/3.12 [573]~P32(x5732)+~P14(x5732)+~P8(x5731,f11(x5732),x5732)+E(f15(x5731,f12(x5731,x5732),x5732),f12(x5731,x5732))
% 3.09/3.12 [431]P8(x4311,x4312,x4313)+~P12(x4313)+E(x4311,x4312)+P8(x4312,x4311,x4313)
% 3.09/3.12 [435]P8(x4351,x4352,x4353)+~P32(x4353)+E(x4351,x4352)+P8(x4352,x4351,x4353)
% 3.09/3.12 [468]~P32(x4683)+~P6(x4681,x4682,x4683)+E(x4681,x4682)+P8(x4681,x4682,x4683)
% 3.09/3.12 [474]~P38(x4743)+~P6(x4741,x4742,x4743)+E(x4741,x4742)+P8(x4741,x4742,x4743)
% 3.09/3.12 [532]~P6(x5322,x5321,x5323)+~P6(x5321,x5322,x5323)+E(x5321,x5322)+~P38(x5323)
% 3.09/3.12 [568]P8(x5682,x5681,x5683)+~P43(x5683)+~P6(x5682,x5681,x5683)+P6(x5681,x5682,x5683)
% 3.09/3.12 [404]~P52(x4042)+~P9(x4042)+~E(f4(x4043,x4041,x4042),x4043)+E(x4041,f11(x4042))
% 3.09/3.12 [406]~P52(x4063)+~P9(x4063)+E(x4061,x4062)+~E(f8(x4061,x4062,x4063),f11(x4063))
% 3.09/3.12 [407]~P70(x4072)+~E(f13(x4073,x4071,x4072),f11(x4072))+E(x4071,f11(x4072))+E(x4073,f11(x4072))
% 3.09/3.12 [409]~P58(x4092)+~E(f13(x4093,x4091,x4092),f11(x4092))+E(x4091,f11(x4092))+E(x4093,f11(x4092))
% 3.09/3.12 [565]~P52(x5653)+E(x5651,x5652)+~E(f13(x5651,x5651,x5653),f13(x5652,x5652,x5653))+E(x5651,f12(x5652,x5653))
% 3.09/3.12 [675]~P13(x6752)+~P6(x6751,x6753,x6752)+~P6(f12(x6751,x6752),x6753,x6752)+P6(f5(x6751,x6752),x6753,x6752)
% 3.09/3.12 [676]~P12(x6762)+~P8(x6761,x6763,x6762)+~P8(f12(x6761,x6762),x6763,x6762)+P8(f5(x6761,x6762),x6763,x6762)
% 3.09/3.12 [794]~P61(x7941)+~P6(x7943,f11(x7941),x7941)+~P6(x7942,f11(x7941),x7941)+P6(f11(x7941),f13(x7942,x7943,x7941),x7941)
% 3.09/3.12 [796]~P65(x7961)+~P6(x7963,f11(x7961),x7961)+~P6(x7962,f11(x7961),x7961)+P6(f11(x7961),f13(x7962,x7963,x7961),x7961)
% 3.09/3.12 [797]~P57(x7971)+~P6(x7972,f11(x7971),x7971)+~P8(x7973,f11(x7971),x7971)+P6(f11(x7971),f9(x7972,x7973,x7971),x7971)
% 3.09/3.12 [798]~P61(x7981)+~P8(x7983,f11(x7981),x7981)+~P8(x7982,f11(x7981),x7981)+P8(f11(x7981),f13(x7982,x7983,x7981),x7981)
% 3.09/3.12 [799]~P57(x7991)+~P8(x7993,f11(x7991),x7991)+~P8(x7992,f11(x7991),x7991)+P8(f11(x7991),f9(x7992,x7993,x7991),x7991)
% 3.09/3.12 [800]~P61(x8001)+~P6(f11(x8001),x8003,x8001)+~P6(f11(x8001),x8002,x8001)+P6(f11(x8001),f13(x8002,x8003,x8001),x8001)
% 3.09/3.12 [801]~P65(x8011)+~P6(f11(x8011),x8013,x8011)+~P6(f11(x8011),x8012,x8011)+P6(f11(x8011),f13(x8012,x8013,x8011),x8011)
% 3.09/3.12 [802]~P66(x8021)+~P6(f11(x8021),x8023,x8021)+~P6(f11(x8021),x8022,x8021)+P6(f11(x8021),f13(x8022,x8023,x8021),x8021)
% 3.09/3.12 [803]~P33(x8031)+~P6(f11(x8031),x8033,x8031)+~P6(f11(x8031),x8032,x8031)+P6(f11(x8031),f4(x8032,x8033,x8031),x8031)
% 3.09/3.12 [804]~P57(x8041)+~P6(f11(x8041),x8042,x8041)+~P8(f11(x8041),x8043,x8041)+P6(f11(x8041),f9(x8042,x8043,x8041),x8041)
% 3.09/3.12 [805]~P62(x8051)+~P8(f11(x8051),x8053,x8051)+~P8(f11(x8051),x8052,x8051)+P8(f11(x8051),f13(x8052,x8053,x8051),x8051)
% 3.09/3.12 [806]~P33(x8061)+~P6(f11(x8061),x8063,x8061)+~P8(f11(x8061),x8062,x8061)+P8(f11(x8061),f4(x8062,x8063,x8061),x8061)
% 3.09/3.12 [807]~P33(x8071)+~P6(f11(x8071),x8072,x8071)+~P8(f11(x8071),x8073,x8071)+P8(f11(x8071),f4(x8072,x8073,x8071),x8071)
% 3.09/3.12 [808]~P33(x8081)+~P8(f11(x8081),x8083,x8081)+~P8(f11(x8081),x8082,x8081)+P8(f11(x8081),f4(x8082,x8083,x8081),x8081)
% 3.09/3.12 [809]~P57(x8091)+~P8(f11(x8091),x8093,x8091)+~P8(f11(x8091),x8092,x8091)+P8(f11(x8091),f9(x8092,x8093,x8091),x8091)
% 3.09/3.12 [810]~P33(x8103)+~P6(x8102,f11(x8103),x8103)+~P6(x8101,f11(x8103),x8103)+P6(f4(x8101,x8102,x8103),f11(x8103),x8103)
% 3.09/3.12 [811]~P33(x8113)+~P6(x8112,f11(x8113),x8113)+~P8(x8111,f11(x8113),x8113)+P8(f4(x8111,x8112,x8113),f11(x8113),x8113)
% 3.09/3.12 [812]~P33(x8123)+~P6(x8121,f11(x8123),x8123)+~P8(x8122,f11(x8123),x8123)+P8(f4(x8121,x8122,x8123),f11(x8123),x8123)
% 3.09/3.12 [813]~P33(x8133)+~P8(x8132,f11(x8133),x8133)+~P8(x8131,f11(x8133),x8133)+P8(f4(x8131,x8132,x8133),f11(x8133),x8133)
% 3.09/3.12 [814]~P61(x8143)+~P6(x8142,f11(x8143),x8143)+~P6(f11(x8143),x8141,x8143)+P6(f13(x8141,x8142,x8143),f11(x8143),x8143)
% 3.09/3.12 [815]~P61(x8153)+~P6(x8151,f11(x8153),x8153)+~P6(f11(x8153),x8152,x8153)+P6(f13(x8151,x8152,x8153),f11(x8153),x8153)
% 3.09/3.12 [817]~P66(x8173)+~P6(x8172,f11(x8173),x8173)+~P6(f11(x8173),x8171,x8173)+P6(f13(x8171,x8172,x8173),f11(x8173),x8173)
% 3.09/3.12 [820]~P66(x8203)+~P6(x8201,f11(x8203),x8203)+~P6(f11(x8203),x8202,x8203)+P6(f13(x8201,x8202,x8203),f11(x8203),x8203)
% 3.09/3.12 [821]~P57(x8213)+~P6(x8211,f11(x8213),x8213)+~P8(f11(x8213),x8212,x8213)+P6(f9(x8211,x8212,x8213),f11(x8213),x8213)
% 3.09/3.12 [822]~P57(x8223)+~P8(x8222,f11(x8223),x8223)+~P6(f11(x8223),x8221,x8223)+P6(f9(x8221,x8222,x8223),f11(x8223),x8223)
% 3.09/3.12 [823]~P62(x8233)+~P8(x8232,f11(x8233),x8233)+~P8(f11(x8233),x8231,x8233)+P8(f13(x8231,x8232,x8233),f11(x8233),x8233)
% 3.09/3.12 [825]~P62(x8253)+~P8(x8251,f11(x8253),x8253)+~P8(f11(x8253),x8252,x8253)+P8(f13(x8251,x8252,x8253),f11(x8253),x8253)
% 3.09/3.12 [826]~P57(x8263)+~P8(x8262,f11(x8263),x8263)+~P8(f11(x8263),x8261,x8263)+P8(f9(x8261,x8262,x8263),f11(x8263),x8263)
% 3.09/3.12 [827]~P57(x8273)+~P8(x8271,f11(x8273),x8273)+~P8(f11(x8273),x8272,x8273)+P8(f9(x8271,x8272,x8273),f11(x8273),x8273)
% 3.09/3.12 [842]~P61(x8422)+~P6(f13(x8423,x8421,x8422),f11(x8422),x8422)+P6(x8421,f11(x8422),x8422)+P6(x8423,f11(x8422),x8422)
% 3.09/3.12 [843]~P61(x8432)+~P6(f11(x8432),f13(x8433,x8431,x8432),x8432)+P6(x8431,f11(x8432),x8432)+P6(f11(x8432),x8433,x8432)
% 3.09/3.12 [844]~P61(x8442)+~P6(f11(x8442),f13(x8441,x8443,x8442),x8442)+P6(x8441,f11(x8442),x8442)+P6(f11(x8442),x8443,x8442)
% 3.09/3.12 [845]~P61(x8452)+~P6(f11(x8452),f13(x8453,x8451,x8452),x8452)+P6(x8451,f11(x8452),x8452)+P6(f11(x8452),x8451,x8452)
% 3.09/3.12 [846]~P61(x8462)+~P6(f11(x8462),f13(x8461,x8463,x8462),x8462)+P6(x8461,f11(x8462),x8462)+P6(f11(x8462),x8461,x8462)
% 3.09/3.12 [847]~P61(x8472)+~P6(f13(x8473,x8471,x8472),f11(x8472),x8472)+P6(x8471,f11(x8472),x8472)+P6(f11(x8472),x8471,x8472)
% 3.09/3.12 [848]~P61(x8482)+~P6(f13(x8481,x8483,x8482),f11(x8482),x8482)+P6(x8481,f11(x8482),x8482)+P6(f11(x8482),x8481,x8482)
% 3.09/3.12 [849]~P61(x8491)+~P6(f13(x8492,x8493,x8491),f11(x8491),x8491)+P6(f11(x8491),x8492,x8491)+P6(f11(x8491),x8493,x8491)
% 3.09/3.12 [877]~P62(x8771)+~P8(f11(x8771),f13(x8773,x8772,x8771),x8771)+P8(f11(x8771),x8772,x8771)+~P8(f11(x8771),x8773,x8771)
% 3.09/3.12 [878]~P62(x8781)+~P8(f11(x8781),f13(x8782,x8783,x8781),x8781)+P8(f11(x8781),x8782,x8781)+~P8(f11(x8781),x8783,x8781)
% 3.09/3.12 [535]~P53(x5352)+~P55(x5352)+E(x5351,f11(x5352))+E(f13(f9(x5353,x5351,x5352),x5351,x5352),x5353)
% 3.09/3.12 [680]~P57(x6802)+~P53(x6802)+~P8(f11(x6802),x6803,x6802)+E(f9(f5(x6801,x6802),x6803,x6802),f5(f9(x6801,x6803,x6802),x6802))
% 3.09/3.12 [873]~P68(x8732)+~P6(x8733,f11(x8732),x8732)+~P6(x8731,f11(x8732),x8732)+E(f13(f5(x8731,x8732),f5(x8733,x8732),x8732),f5(f13(x8731,x8733,x8732),x8732))
% 3.09/3.12 [874]~P68(x8742)+~P6(x8743,f11(x8742),x8742)+~P6(f11(x8742),x8741,x8742)+E(f13(f5(x8741,x8742),f5(x8743,x8742),x8742),f5(f13(x8741,x8743,x8742),x8742))
% 3.09/3.12 [875]~P68(x8752)+~P6(x8751,f11(x8752),x8752)+~P6(f11(x8752),x8753,x8752)+E(f13(f5(x8751,x8752),f5(x8753,x8752),x8752),f5(f13(x8751,x8753,x8752),x8752))
% 3.09/3.12 [876]~P68(x8762)+~P6(f11(x8762),x8763,x8762)+~P6(f11(x8762),x8761,x8762)+E(f13(f5(x8761,x8762),f5(x8763,x8762),x8762),f5(f13(x8761,x8763,x8762),x8762))
% 3.09/3.12 [618]~P38(x6183)+~P6(x6181,x6184,x6183)+P6(x6181,x6182,x6183)+~P6(x6184,x6182,x6183)
% 3.09/3.12 [619]~P43(x6193)+~P6(x6191,x6194,x6193)+P6(x6191,x6192,x6193)+~P6(x6194,x6192,x6193)
% 3.09/3.12 [620]~P38(x6203)+~P8(x6201,x6204,x6203)+P8(x6201,x6202,x6203)+~P6(x6204,x6202,x6203)
% 3.09/3.12 [621]~P38(x6213)+~P8(x6214,x6212,x6213)+P8(x6211,x6212,x6213)+~P6(x6211,x6214,x6213)
% 3.09/3.12 [622]~P38(x6223)+~P8(x6221,x6224,x6223)+P8(x6221,x6222,x6223)+~P8(x6224,x6222,x6223)
% 3.09/3.12 [623]~P43(x6233)+~P8(x6231,x6234,x6233)+P8(x6231,x6232,x6233)+~P6(x6234,x6232,x6233)
% 3.09/3.12 [624]~P43(x6243)+~P8(x6244,x6242,x6243)+P8(x6241,x6242,x6243)+~P6(x6241,x6244,x6243)
% 3.09/3.12 [625]~P43(x6253)+~P8(x6251,x6254,x6253)+P8(x6251,x6252,x6253)+~P8(x6254,x6252,x6253)
% 3.09/3.12 [626]~P31(x6263)+~P7(x6261,x6264,x6263)+P7(x6261,x6262,x6263)+~P7(x6264,x6262,x6263)
% 3.09/3.12 [544]~P39(x5444)+E(x5441,x5442)+~E(f21(x5441,x5443,x5444),f21(x5442,x5443,x5444))+E(x5443,f11(x5444))
% 3.09/3.12 [545]~P52(x5454)+~P9(x5454)+E(x5451,x5452)+~E(f4(x5453,x5451,x5454),f4(x5453,x5452,x5454))
% 3.09/3.12 [760]~P1(x7604)+~P6(x7601,x7603,x7604)+~P6(x7601,x7602,x7604)+P6(x7601,f14(x7602,x7603,x7604),x7604)
% 3.09/3.12 [763]~P32(x7634)+~P6(x7631,x7633,x7634)+~P6(x7631,x7632,x7634)+P6(x7631,f16(x7632,x7633,x7634),x7634)
% 3.09/3.12 [764]~P32(x7644)+~P8(x7641,x7643,x7644)+~P8(x7641,x7642,x7644)+P8(x7641,f16(x7642,x7643,x7644),x7644)
% 3.09/3.12 [765]~P31(x7654)+~P7(x7651,x7653,x7654)+~P7(x7651,x7652,x7654)+P7(x7651,f4(x7652,x7653,x7654),x7654)
% 3.09/3.12 [766]~P47(x7664)+~P7(x7661,x7663,x7664)+~P7(x7661,x7662,x7664)+P7(x7661,f8(x7662,x7663,x7664),x7664)
% 3.09/3.12 [768]~P4(x7684)+~P7(x7681,x7683,x7684)+~P7(x7681,x7682,x7684)+P7(x7681,f6(x7682,x7683,x7684),x7684)
% 3.09/3.12 [771]~P15(x7713)+~P6(x7712,x7714,x7713)+~P6(x7711,x7714,x7713)+P6(f15(x7711,x7712,x7713),x7714,x7713)
% 3.09/3.12 [774]~P32(x7743)+~P6(x7742,x7744,x7743)+~P6(x7741,x7744,x7743)+P6(f17(x7741,x7742,x7743),x7744,x7743)
% 3.09/3.12 [775]~P32(x7753)+~P8(x7752,x7754,x7753)+~P8(x7751,x7754,x7753)+P8(f17(x7751,x7752,x7753),x7754,x7753)
% 3.09/3.12 [778]~P63(x7784)+~P8(x7781,x7783,x7784)+~P8(f11(x7784),x7782,x7784)+P8(x7781,f4(x7782,x7783,x7784),x7784)
% 3.09/3.12 [828]~P32(x8283)+P6(x8281,x8282,x8283)+P6(x8281,x8284,x8283)+~P6(x8281,f17(x8282,x8284,x8283),x8283)
% 3.09/3.12 [829]~P32(x8293)+P8(x8291,x8292,x8293)+P8(x8291,x8294,x8293)+~P8(x8291,f17(x8292,x8294,x8293),x8293)
% 3.09/3.12 [830]~P32(x8303)+P6(x8301,x8302,x8303)+P6(x8304,x8302,x8303)+~P6(f16(x8301,x8304,x8303),x8302,x8303)
% 3.09/3.12 [831]~P32(x8313)+P8(x8311,x8312,x8313)+P8(x8314,x8312,x8313)+~P8(f16(x8311,x8314,x8313),x8312,x8313)
% 3.09/3.12 [872]~P4(x8723)+P7(x8721,x8722,x8723)+~P7(x8721,x8724,x8723)+~P7(x8721,f6(x8722,x8724,x8723),x8723)
% 3.09/3.12 [935]~P65(x9353)+~P6(x9354,x9351,x9353)+~P6(x9352,f11(x9353),x9353)+P6(f13(x9351,x9352,x9353),f13(x9354,x9352,x9353),x9353)
% 3.09/3.12 [936]~P61(x9363)+~P6(x9364,x9362,x9363)+~P8(x9361,f11(x9363),x9363)+P6(f13(x9361,x9362,x9363),f13(x9361,x9364,x9363),x9363)
% 3.09/3.12 [937]~P65(x9373)+~P6(x9374,x9372,x9373)+~P6(x9371,f11(x9373),x9373)+P6(f13(x9371,x9372,x9373),f13(x9371,x9374,x9373),x9373)
% 3.09/3.12 [939]~P61(x9393)+~P8(x9394,x9391,x9393)+~P8(x9392,f11(x9393),x9393)+P8(f13(x9391,x9392,x9393),f13(x9394,x9392,x9393),x9393)
% 3.09/3.12 [942]~P61(x9423)+~P8(x9424,x9422,x9423)+~P8(x9421,f11(x9423),x9423)+P8(f13(x9421,x9422,x9423),f13(x9421,x9424,x9423),x9423)
% 3.09/3.12 [943]~P57(x9433)+~P8(x9434,x9431,x9433)+~P8(x9432,f11(x9433),x9433)+P8(f9(x9431,x9432,x9433),f9(x9434,x9432,x9433),x9433)
% 3.09/3.12 [944]~P51(x9443)+~P6(x9441,x9444,x9443)+~P6(f11(x9443),x9442,x9443)+P6(f13(x9441,x9442,x9443),f13(x9444,x9442,x9443),x9443)
% 3.09/3.12 [945]~P61(x9453)+~P6(x9452,x9454,x9453)+~P8(f11(x9453),x9451,x9453)+P6(f13(x9451,x9452,x9453),f13(x9451,x9454,x9453),x9453)
% 3.09/3.12 [946]~P50(x9463)+~P6(x9462,x9464,x9463)+~P6(f11(x9463),x9461,x9463)+P6(f13(x9461,x9462,x9463),f13(x9461,x9464,x9463),x9463)
% 3.09/3.12 [947]~P51(x9473)+~P6(x9472,x9474,x9473)+~P6(f11(x9473),x9471,x9473)+P6(f13(x9471,x9472,x9473),f13(x9471,x9474,x9473),x9473)
% 3.09/3.12 [948]~P61(x9483)+~P8(x9481,x9484,x9483)+~P8(f11(x9483),x9482,x9483)+P8(f13(x9481,x9482,x9483),f13(x9484,x9482,x9483),x9483)
% 3.09/3.12 [949]~P62(x9493)+~P8(x9491,x9494,x9493)+~P8(f11(x9493),x9492,x9493)+P8(f13(x9491,x9492,x9493),f13(x9494,x9492,x9493),x9493)
% 3.09/3.12 [951]~P61(x9513)+~P8(x9512,x9514,x9513)+~P8(f11(x9513),x9511,x9513)+P8(f13(x9511,x9512,x9513),f13(x9511,x9514,x9513),x9513)
% 3.09/3.12 [952]~P62(x9523)+~P8(x9522,x9524,x9523)+~P8(f11(x9523),x9521,x9523)+P8(f13(x9521,x9522,x9523),f13(x9521,x9524,x9523),x9523)
% 3.09/3.12 [953]~P60(x9533)+~P8(x9532,x9534,x9533)+~P8(f11(x9533),x9531,x9533)+P8(f13(x9531,x9532,x9533),f13(x9531,x9534,x9533),x9533)
% 3.09/3.12 [954]~P57(x9543)+~P8(x9541,x9544,x9543)+~P8(f11(x9543),x9542,x9543)+P8(f9(x9541,x9542,x9543),f9(x9544,x9542,x9543),x9543)
% 3.09/3.12 [962]~P52(x9622)+P7(x9623,x9624,x9622)+~P7(f13(x9621,x9623,x9622),f13(x9621,x9624,x9622),x9622)+E(x9621,f11(x9622))
% 3.09/3.12 [963]~P52(x9632)+P7(x9633,x9634,x9632)+~P7(f13(x9633,x9631,x9632),f13(x9634,x9631,x9632),x9632)+E(x9631,f11(x9632))
% 3.09/3.12 [969]~P57(x9694)+~P8(f11(x9694),x9693,x9694)+~P6(f13(x9691,x9693,x9694),x9692,x9694)+P6(x9691,f9(x9692,x9693,x9694),x9694)
% 3.09/3.12 [970]~P57(x9704)+~P8(f11(x9704),x9703,x9704)+~P8(f13(x9701,x9703,x9704),x9702,x9704)+P8(x9701,f9(x9702,x9703,x9704),x9704)
% 3.09/3.12 [971]~P57(x9713)+~P8(f11(x9713),x9712,x9713)+~P6(x9711,f13(x9714,x9712,x9713),x9713)+P6(f9(x9711,x9712,x9713),x9714,x9713)
% 3.09/3.12 [972]~P57(x9723)+~P8(f11(x9723),x9722,x9723)+~P8(x9721,f13(x9724,x9722,x9723),x9723)+P8(f9(x9721,x9722,x9723),x9724,x9723)
% 3.09/3.12 [982]P8(x9822,x9821,x9823)+~P61(x9823)+P8(x9821,x9822,x9823)+~P8(f13(x9824,x9821,x9823),f13(x9824,x9822,x9823),x9823)
% 3.09/3.12 [983]P8(x9832,x9831,x9833)+~P61(x9833)+P8(x9831,x9832,x9833)+~P8(f13(x9831,x9834,x9833),f13(x9832,x9834,x9833),x9833)
% 3.09/3.12 [997]~P61(x9973)+P8(x9971,x9972,x9973)+~P8(f13(x9971,x9974,x9973),f13(x9972,x9974,x9973),x9973)+P8(x9974,f11(x9973),x9973)
% 3.09/3.12 [998]~P61(x9983)+P8(x9981,x9982,x9983)+~P8(f13(x9984,x9981,x9983),f13(x9984,x9982,x9983),x9983)+P8(x9984,f11(x9983),x9983)
% 3.09/3.12 [999]~P61(x9993)+P8(x9991,x9992,x9993)+~P8(f13(x9994,x9992,x9993),f13(x9994,x9991,x9993),x9993)+P8(f11(x9993),x9994,x9993)
% 3.09/3.12 [1000]~P61(x10003)+P8(x10001,x10002,x10003)+~P8(f13(x10002,x10004,x10003),f13(x10001,x10004,x10003),x10003)+P8(f11(x10003),x10004,x10003)
% 3.09/3.12 [1004]~P61(x10042)+~P8(f13(x10043,x10041,x10042),f13(x10044,x10041,x10042),x10042)+P8(x10041,f11(x10042),x10042)+P8(f11(x10042),x10041,x10042)
% 3.09/3.12 [1005]~P61(x10052)+~P8(f13(x10051,x10053,x10052),f13(x10051,x10054,x10052),x10052)+P8(x10051,f11(x10052),x10052)+P8(f11(x10052),x10051,x10052)
% 3.09/3.12 [1009]~P61(x10093)+P6(x10091,x10092,x10093)+~P6(f13(x10094,x10092,x10093),f13(x10094,x10091,x10093),x10093)+~P8(x10094,f11(x10093),x10093)
% 3.09/3.12 [1010]~P61(x10103)+P8(x10101,x10102,x10103)+~P8(f13(x10104,x10102,x10103),f13(x10104,x10101,x10103),x10103)+~P8(x10104,f11(x10103),x10103)
% 3.09/3.12 [1011]~P61(x10113)+P6(x10111,x10112,x10113)+~P6(f13(x10114,x10111,x10113),f13(x10114,x10112,x10113),x10113)+~P8(f11(x10113),x10114,x10113)
% 3.09/3.12 [1012]~P62(x10123)+P6(x10121,x10122,x10123)+~P6(f13(x10124,x10121,x10123),f13(x10124,x10122,x10123),x10123)+~P8(f11(x10123),x10124,x10123)
% 3.09/3.12 [1013]~P62(x10133)+P6(x10131,x10132,x10133)+~P6(f13(x10131,x10134,x10133),f13(x10132,x10134,x10133),x10133)+~P8(f11(x10133),x10134,x10133)
% 3.09/3.12 [1014]~P61(x10143)+P8(x10141,x10142,x10143)+~P8(f13(x10144,x10141,x10143),f13(x10144,x10142,x10143),x10143)+~P8(f11(x10143),x10144,x10143)
% 3.09/3.12 [1015]~P62(x10153)+P8(x10151,x10152,x10153)+~P8(f13(x10154,x10151,x10153),f13(x10154,x10152,x10153),x10153)+~P6(f11(x10153),x10154,x10153)
% 3.09/3.12 [1016]~P62(x10163)+P8(x10161,x10162,x10163)+~P8(f13(x10161,x10164,x10163),f13(x10162,x10164,x10163),x10163)+~P6(f11(x10163),x10164,x10163)
% 3.09/3.12 [1017]~P64(x10173)+P8(x10171,x10172,x10173)+~P8(f13(x10174,x10171,x10173),f13(x10174,x10172,x10173),x10173)+~P6(f11(x10173),x10174,x10173)
% 3.09/3.12 [1018]~P64(x10183)+P8(x10181,x10182,x10183)+~P8(f13(x10181,x10184,x10183),f13(x10182,x10184,x10183),x10183)+~P6(f11(x10183),x10184,x10183)
% 3.09/3.12 [776]~P53(x7762)+~P55(x7762)+E(x7761,f11(x7762))+E(f9(f13(x7763,x7761,x7762),f13(x7764,x7761,x7762),x7762),f9(x7763,x7764,x7762))
% 3.09/3.12 [777]~P53(x7772)+~P55(x7772)+E(x7771,f11(x7772))+E(f9(f13(x7771,x7773,x7772),f13(x7771,x7774,x7772),x7772),f9(x7773,x7774,x7772))
% 3.09/3.12 [1072]~P12(x10723)+~P8(x10721,f4(x10722,x10724,x10723),x10723)+~P8(f8(x10722,x10724,x10723),x10721,x10723)+P8(f5(f8(x10721,x10722,x10723),x10723),x10724,x10723)
% 3.09/3.12 [1006]~P53(x10062)+~P55(x10062)+E(x10061,f11(x10062))+E(f9(f4(x10063,f13(x10064,x10061,x10062),x10062),x10061,x10062),f4(x10064,f9(x10063,x10061,x10062),x10062))
% 3.09/3.12 [1007]~P53(x10072)+~P55(x10072)+E(x10071,f11(x10072))+E(f9(f4(x10073,f13(x10074,x10071,x10072),x10072),x10071,x10072),f4(f9(x10073,x10071,x10072),x10074,x10072))
% 3.09/3.12 [703]~P25(x7033)+~P6(x7035,x7034,x7033)+P6(x7031,x7032,x7033)+~E(f8(x7034,x7035,x7033),f8(x7032,x7031,x7033))
% 3.09/3.12 [704]~P25(x7043)+~P6(x7045,x7044,x7043)+P6(x7041,x7042,x7043)+~E(f8(x7042,x7041,x7043),f8(x7044,x7045,x7043))
% 3.09/3.12 [705]~P25(x7053)+~P8(x7054,x7055,x7053)+P8(x7051,x7052,x7053)+~E(f8(x7054,x7055,x7053),f8(x7051,x7052,x7053))
% 3.09/3.12 [706]~P25(x7063)+~P8(x7064,x7065,x7063)+P8(x7061,x7062,x7063)+~E(f8(x7061,x7062,x7063),f8(x7064,x7065,x7063))
% 3.09/3.12 [925]~P35(x9253)+~P6(x9252,x9255,x9253)+~P6(x9251,x9254,x9253)+P6(f4(x9251,x9252,x9253),f4(x9254,x9255,x9253),x9253)
% 3.09/3.12 [926]~P36(x9263)+~P6(x9262,x9265,x9263)+~P8(x9261,x9264,x9263)+P8(f4(x9261,x9262,x9263),f4(x9264,x9265,x9263),x9263)
% 3.09/3.12 [927]~P36(x9273)+~P6(x9271,x9274,x9273)+~P8(x9272,x9275,x9273)+P8(f4(x9271,x9272,x9273),f4(x9274,x9275,x9273),x9273)
% 3.09/3.12 [928]~P36(x9283)+~P8(x9282,x9285,x9283)+~P8(x9281,x9284,x9283)+P8(f4(x9281,x9282,x9283),f4(x9284,x9285,x9283),x9283)
% 3.09/3.12 [929]~P31(x9293)+~P7(x9292,x9295,x9293)+~P7(x9291,x9294,x9293)+P7(f13(x9291,x9292,x9293),f13(x9294,x9295,x9293),x9293)
% 3.09/3.12 [964]~P25(x9644)+~P6(x9645,x9643,x9644)+~P6(x9641,f4(x9642,x9645,x9644),x9644)+P6(x9641,f4(x9642,x9643,x9644),x9644)
% 3.09/3.12 [1040]~P12(x10402)+~P8(f5(x10401,x10402),x10404,x10402)+~P8(f5(x10403,x10402),x10405,x10402)+P8(f13(f5(x10401,x10402),f5(x10403,x10402),x10402),f13(x10404,x10405,x10402),x10402)
% 3.09/3.12 [1086]~P55(x10862)+E(x10861,f11(x10862))+E(x10863,f11(x10862))+E(f9(f4(f13(x10864,x10861,x10862),f13(x10865,x10863,x10862),x10862),f13(x10863,x10861,x10862),x10862),f4(f9(x10864,x10863,x10862),f9(x10865,x10861,x10862),x10862))
% 3.09/3.12 [1087]~P55(x10872)+E(x10871,f11(x10872))+E(x10873,f11(x10872))+E(f9(f8(f13(x10874,x10871,x10872),f13(x10875,x10873,x10872),x10872),f13(x10873,x10871,x10872),x10872),f8(f9(x10874,x10873,x10872),f9(x10875,x10871,x10872),x10872))
% 3.09/3.12 [1052]~P4(x10523)+~E(f6(x10521,x10524,x10523),f6(x10525,x10524,x10523))+~E(f6(x10522,x10524,x10523),f6(x10526,x10524,x10523))+E(f6(f13(x10521,x10522,x10523),x10524,x10523),f6(f13(x10525,x10526,x10523),x10524,x10523))
% 3.09/3.12 [1053]~P4(x10533)+~E(f6(x10531,x10534,x10533),f6(x10535,x10534,x10533))+~E(f6(x10532,x10534,x10533),f6(x10536,x10534,x10533))+E(f6(f4(x10531,x10532,x10533),x10534,x10533),f6(f4(x10535,x10536,x10533),x10534,x10533))
% 3.09/3.12 [1054]~P5(x10543)+~E(f6(x10541,x10544,x10543),f6(x10545,x10544,x10543))+~E(f6(x10542,x10544,x10543),f6(x10546,x10544,x10543))+E(f6(f8(x10541,x10542,x10543),x10544,x10543),f6(f8(x10545,x10546,x10543),x10544,x10543))
% 3.09/3.12 [668]~P33(x6682)+~P6(f11(x6682),x6681,x6682)+~P6(f11(x6682),x6683,x6682)+~E(f4(x6683,x6681,x6682),f11(x6682))+E(x6681,f11(x6682))
% 3.09/3.12 [669]~P33(x6692)+~P6(f11(x6692),x6693,x6692)+~P6(f11(x6692),x6691,x6692)+~E(f4(x6691,x6693,x6692),f11(x6692))+E(x6691,f11(x6692))
% 3.09/3.12 [832]~P57(x8321)+~P53(x8321)+~P6(x8323,f11(x8321),x8321)+~P6(x8322,f11(x8321),x8321)+P6(f11(x8321),f9(x8322,x8323,x8321),x8321)
% 3.09/3.12 [834]~P57(x8341)+~P53(x8341)+~P6(f11(x8341),x8343,x8341)+~P6(f11(x8341),x8342,x8341)+P6(f11(x8341),f9(x8342,x8343,x8341),x8341)
% 3.09/3.12 [836]~P57(x8363)+~P53(x8363)+~P6(x8362,f11(x8363),x8363)+~P6(f11(x8363),x8361,x8363)+P6(f9(x8361,x8362,x8363),f11(x8363),x8363)
% 3.09/3.12 [837]~P57(x8373)+~P53(x8373)+~P6(x8371,f11(x8373),x8373)+~P6(f11(x8373),x8372,x8373)+P6(f9(x8371,x8372,x8373),f11(x8373),x8373)
% 3.09/3.12 [854]~P57(x8542)+~P53(x8542)+~P6(f9(x8543,x8541,x8542),f11(x8542),x8542)+P6(x8541,f11(x8542),x8542)+P6(x8543,f11(x8542),x8542)
% 3.09/3.12 [855]~P57(x8552)+~P53(x8552)+~P8(f9(x8553,x8551,x8552),f11(x8552),x8552)+P8(x8551,f11(x8552),x8552)+P8(x8553,f11(x8552),x8552)
% 3.09/3.12 [856]~P57(x8562)+~P53(x8562)+~P6(f11(x8562),f9(x8563,x8561,x8562),x8562)+P6(x8561,f11(x8562),x8562)+P6(f11(x8562),x8563,x8562)
% 3.09/3.12 [857]~P57(x8572)+~P53(x8572)+~P6(f11(x8572),f9(x8571,x8573,x8572),x8572)+P6(x8571,f11(x8572),x8572)+P6(f11(x8572),x8573,x8572)
% 3.09/3.12 [858]~P57(x8582)+~P53(x8582)+~P6(f11(x8582),f9(x8583,x8581,x8582),x8582)+P6(x8581,f11(x8582),x8582)+P6(f11(x8582),x8581,x8582)
% 3.09/3.12 [859]~P57(x8592)+~P53(x8592)+~P6(f11(x8592),f9(x8591,x8593,x8592),x8592)+P6(x8591,f11(x8592),x8592)+P6(f11(x8592),x8591,x8592)
% 3.09/3.12 [860]~P57(x8602)+~P53(x8602)+~P8(f11(x8602),f9(x8603,x8601,x8602),x8602)+P8(x8601,f11(x8602),x8602)+P8(f11(x8602),x8603,x8602)
% 3.09/3.12 [861]~P57(x8612)+~P53(x8612)+~P8(f11(x8612),f9(x8611,x8613,x8612),x8612)+P8(x8611,f11(x8612),x8612)+P8(f11(x8612),x8613,x8612)
% 3.09/3.12 [862]~P57(x8622)+~P53(x8622)+~P8(f11(x8622),f9(x8623,x8621,x8622),x8622)+P8(x8621,f11(x8622),x8622)+P8(f11(x8622),x8621,x8622)
% 3.09/3.12 [863]~P57(x8632)+~P53(x8632)+~P8(f11(x8632),f9(x8631,x8633,x8632),x8632)+P8(x8631,f11(x8632),x8632)+P8(f11(x8632),x8631,x8632)
% 3.09/3.12 [864]~P57(x8642)+~P53(x8642)+~P6(f9(x8643,x8641,x8642),f11(x8642),x8642)+P6(x8641,f11(x8642),x8642)+P6(f11(x8642),x8641,x8642)
% 3.09/3.12 [865]~P57(x8652)+~P53(x8652)+~P6(f9(x8651,x8653,x8652),f11(x8652),x8652)+P6(x8651,f11(x8652),x8652)+P6(f11(x8652),x8651,x8652)
% 3.09/3.12 [866]~P57(x8662)+~P53(x8662)+~P8(f9(x8663,x8661,x8662),f11(x8662),x8662)+P8(x8661,f11(x8662),x8662)+P8(f11(x8662),x8661,x8662)
% 3.09/3.12 [867]~P57(x8672)+~P53(x8672)+~P8(f9(x8671,x8673,x8672),f11(x8672),x8672)+P8(x8671,f11(x8672),x8672)+P8(f11(x8672),x8671,x8672)
% 3.09/3.12 [868]~P57(x8681)+~P53(x8681)+~P6(f9(x8682,x8683,x8681),f11(x8681),x8681)+P6(f11(x8681),x8682,x8681)+P6(f11(x8681),x8683,x8681)
% 3.09/3.12 [869]~P57(x8691)+~P53(x8691)+~P8(f9(x8692,x8693,x8691),f11(x8691),x8691)+P8(f11(x8691),x8692,x8691)+P8(f11(x8691),x8693,x8691)
% 3.09/3.12 [780]~P34(x7804)+~P21(x7804)+~P6(x7801,x7803,x7804)+~P6(f11(x7804),x7802,x7804)+P6(x7801,f4(x7802,x7803,x7804),x7804)
% 3.09/3.12 [781]~P34(x7814)+~P21(x7814)+~P6(x7811,x7812,x7814)+~P6(f11(x7814),x7813,x7814)+P6(x7811,f4(x7812,x7813,x7814),x7814)
% 3.09/3.12 [782]~P34(x7824)+~P21(x7824)+~P6(x7821,x7823,x7824)+~P8(f11(x7824),x7822,x7824)+P8(x7821,f4(x7822,x7823,x7824),x7824)
% 3.09/3.12 [783]~P34(x7834)+~P21(x7834)+~P8(x7831,x7833,x7834)+~P6(f11(x7834),x7832,x7834)+P8(x7831,f4(x7832,x7833,x7834),x7834)
% 3.09/3.12 [955]~P57(x9553)+~P53(x9553)+~P6(x9554,x9551,x9553)+~P6(x9552,f11(x9553),x9553)+P6(f9(x9551,x9552,x9553),f9(x9554,x9552,x9553),x9553)
% 3.09/3.12 [956]~P57(x9563)+~P53(x9563)+~P6(x9561,x9564,x9563)+~P6(f11(x9563),x9562,x9563)+P6(f9(x9561,x9562,x9563),f9(x9564,x9562,x9563),x9563)
% 3.09/3.12 [973]~P57(x9734)+~P53(x9734)+~P8(f11(x9734),x9733,x9734)+~P6(f9(x9731,x9733,x9734),x9732,x9734)+P6(x9731,f13(x9732,x9733,x9734),x9734)
% 3.09/3.12 [975]~P57(x9754)+~P53(x9754)+~P8(f11(x9754),x9753,x9754)+~P8(f9(x9751,x9753,x9754),x9752,x9754)+P8(x9751,f13(x9752,x9753,x9754),x9754)
% 3.09/3.12 [977]~P57(x9773)+~P53(x9773)+~P8(f11(x9773),x9772,x9773)+~P6(x9771,f9(x9774,x9772,x9773),x9773)+P6(f13(x9771,x9772,x9773),x9774,x9773)
% 3.09/3.12 [979]~P57(x9793)+~P53(x9793)+~P8(f11(x9793),x9792,x9793)+~P8(x9791,f9(x9794,x9792,x9793),x9793)+P8(f13(x9791,x9792,x9793),x9794,x9793)
% 3.09/3.12 [1056]~P57(x10563)+~P8(x10562,x10564,x10563)+~P8(x10561,f11(x10563),x10563)+~P8(f11(x10563),f13(x10562,x10564,x10563),x10563)+P8(f9(x10561,x10562,x10563),f9(x10561,x10564,x10563),x10563)
% 3.09/3.12 [1057]~P57(x10573)+~P6(x10574,x10572,x10573)+~P6(f11(x10573),x10571,x10573)+~P8(f11(x10573),f13(x10572,x10574,x10573),x10573)+P6(f9(x10571,x10572,x10573),f9(x10571,x10574,x10573),x10573)
% 3.09/3.12 [1058]~P57(x10583)+~P8(x10584,x10582,x10583)+~P8(f11(x10583),x10581,x10583)+~P8(f11(x10583),f13(x10582,x10584,x10583),x10583)+P8(f9(x10581,x10582,x10583),f9(x10581,x10584,x10583),x10583)
% 3.09/3.12 [670]~P55(x6702)+~E(f9(x6704,x6703,x6702),f9(x6705,x6701,x6702))+E(f13(x6704,x6701,x6702),f13(x6705,x6703,x6702))+E(x6701,f11(x6702))+E(x6703,f11(x6702))
% 3.09/3.12 [671]~P55(x6712)+~E(f13(x6714,x6713,x6712),f13(x6715,x6711,x6712))+E(f9(x6714,x6711,x6712),f9(x6715,x6713,x6712))+E(x6711,f11(x6712))+E(x6713,f11(x6712))
% 3.09/3.12 [981]~P52(x9814)+~P9(x9814)+E(x9811,x9812)+E(x9813,f11(x9814))+~E(f4(x9815,f13(x9813,x9811,x9814),x9814),f4(x9815,f13(x9813,x9812,x9814),x9814))
% 3.09/3.12 [1075]~P52(x10755)+~P9(x10755)+E(x10751,x10752)+E(x10753,x10754)+~E(f4(f13(x10753,x10751,x10755),f13(x10754,x10752,x10755),x10755),f4(f13(x10753,x10752,x10755),f13(x10754,x10751,x10755),x10755))
% 3.09/3.12 [1091]~P54(x10915)+~P37(x10915)+~P7(x10911,x10914,x10915)+~P7(x10911,f4(x10912,x10916,x10915),x10915)+P7(x10911,f4(f8(x10912,f13(x10913,x10914,x10915),x10915),x10916,x10915),x10915)
% 3.09/3.12 [1092]~P54(x10924)+~P37(x10924)+~P7(x10921,x10925,x10924)+P7(x10921,f4(x10922,x10923,x10924),x10924)+~P7(x10921,f4(f8(x10922,f13(x10926,x10925,x10924),x10924),x10923,x10924),x10924)
% 3.09/3.12 [850]~P57(x8502)+~P53(x8502)+P8(x8501,f11(x8502),x8502)+P8(f11(x8502),x8501,x8502)+~P6(x8503,f11(x8502),x8502)+P6(x8503,f9(x8504,x8501,x8502),x8502)
% 3.09/3.12 [851]~P57(x8512)+~P53(x8512)+P8(x8511,f11(x8512),x8512)+P8(f11(x8512),x8511,x8512)+~P8(x8513,f11(x8512),x8512)+P8(x8513,f9(x8514,x8511,x8512),x8512)
% 3.09/3.12 [852]~P57(x8522)+~P53(x8522)+P8(x8521,f11(x8522),x8522)+P8(f11(x8522),x8521,x8522)+~P6(f11(x8522),x8524,x8522)+P6(f9(x8523,x8521,x8522),x8524,x8522)
% 3.09/3.12 [853]~P57(x8532)+~P53(x8532)+P8(x8531,f11(x8532),x8532)+P8(f11(x8532),x8531,x8532)+~P8(f11(x8532),x8534,x8532)+P8(f9(x8533,x8531,x8532),x8534,x8532)
% 3.09/3.12 [931]~P57(x9312)+~P53(x9312)+P6(x9311,f11(x9312),x9312)+P8(f11(x9312),x9313,x9312)+~P6(x9311,f9(x9314,x9313,x9312),x9312)+P8(x9313,f11(x9312),x9312)
% 3.09/3.12 [932]~P57(x9322)+~P53(x9322)+P8(x9321,f11(x9322),x9322)+P8(f11(x9322),x9321,x9322)+~P8(x9323,f9(x9324,x9321,x9322),x9322)+P8(x9323,f11(x9322),x9322)
% 3.09/3.12 [933]~P57(x9332)+~P53(x9332)+P8(x9331,f11(x9332),x9332)+P8(f11(x9332),x9331,x9332)+~P6(f9(x9334,x9331,x9332),x9333,x9332)+P6(f11(x9332),x9333,x9332)
% 3.09/3.12 [934]~P57(x9342)+~P53(x9342)+P8(x9341,f11(x9342),x9342)+P8(f11(x9342),x9341,x9342)+~P8(f9(x9344,x9341,x9342),x9343,x9342)+P8(f11(x9342),x9343,x9342)
% 3.09/3.12 [1019]~P57(x10192)+~P53(x10192)+~P6(f13(x10193,x10191,x10192),x10194,x10192)+P8(x10191,f11(x10192),x10192)+~P6(x10193,f11(x10192),x10192)+P6(x10193,f9(x10194,x10191,x10192),x10192)
% 3.09/3.12 [1020]~P57(x10202)+~P53(x10202)+~P8(f13(x10203,x10201,x10202),x10204,x10202)+P8(x10201,f11(x10202),x10202)+~P8(x10203,f11(x10202),x10202)+P8(x10203,f9(x10204,x10201,x10202),x10202)
% 3.09/3.12 [1021]~P57(x10212)+~P53(x10212)+~P6(x10213,f13(x10214,x10211,x10212),x10212)+P8(x10211,f11(x10212),x10212)+~P6(f11(x10212),x10214,x10212)+P6(f9(x10213,x10211,x10212),x10214,x10212)
% 3.09/3.12 [1022]~P57(x10222)+~P53(x10222)+~P8(x10223,f13(x10224,x10221,x10222),x10222)+P8(x10221,f11(x10222),x10222)+~P8(f11(x10222),x10224,x10222)+P8(f9(x10223,x10221,x10222),x10224,x10222)
% 3.09/3.12 [1023]~P57(x10231)+~P53(x10231)+~P6(x10234,f9(x10233,x10232,x10231),x10231)+~P8(x10232,f11(x10231),x10231)+P8(f11(x10231),x10232,x10231)+P6(x10233,f13(x10234,x10232,x10231),x10231)
% 3.09/3.12 [1024]~P57(x10241)+~P53(x10241)+~P6(x10244,f13(x10243,x10242,x10241),x10241)+~P6(x10243,f11(x10241),x10241)+P8(f11(x10241),x10242,x10241)+P6(x10243,f9(x10244,x10242,x10241),x10241)
% 3.09/3.12 [1025]~P57(x10251)+~P53(x10251)+~P6(x10254,f13(x10253,x10252,x10251),x10251)+~P8(x10252,f11(x10251),x10251)+P8(f11(x10251),x10252,x10251)+P6(x10253,f9(x10254,x10252,x10251),x10251)
% 3.09/3.12 [1026]~P57(x10261)+~P53(x10261)+~P8(x10264,f9(x10263,x10262,x10261),x10261)+~P8(x10262,f11(x10261),x10261)+P8(f11(x10261),x10262,x10261)+P8(x10263,f13(x10264,x10262,x10261),x10261)
% 3.09/3.12 [1027]~P57(x10271)+~P53(x10271)+~P8(x10274,f13(x10273,x10272,x10271),x10271)+~P8(x10272,f11(x10271),x10271)+P8(f11(x10271),x10272,x10271)+P8(x10273,f9(x10274,x10272,x10271),x10271)
% 3.09/3.12 [1028]~P57(x10281)+~P53(x10281)+~P8(x10284,f13(x10283,x10282,x10281),x10281)+~P8(x10283,f11(x10281),x10281)+P8(f11(x10281),x10282,x10281)+P8(x10283,f9(x10284,x10282,x10281),x10281)
% 3.09/3.12 [1029]~P57(x10291)+~P53(x10291)+~P6(f9(x10294,x10292,x10291),x10293,x10291)+~P8(x10292,f11(x10291),x10291)+P8(f11(x10291),x10292,x10291)+P6(f13(x10293,x10292,x10291),x10294,x10291)
% 3.09/3.12 [1030]~P57(x10301)+~P53(x10301)+~P6(f13(x10304,x10302,x10301),x10303,x10301)+~P8(x10302,f11(x10301),x10301)+P8(f11(x10301),x10302,x10301)+P6(f9(x10303,x10302,x10301),x10304,x10301)
% 3.09/3.12 [1031]~P57(x10311)+~P53(x10311)+~P8(f9(x10314,x10312,x10311),x10313,x10311)+~P8(x10312,f11(x10311),x10311)+P8(f11(x10311),x10312,x10311)+P8(f13(x10313,x10312,x10311),x10314,x10311)
% 3.09/3.12 [1032]~P57(x10321)+~P53(x10321)+~P8(f13(x10324,x10322,x10321),x10323,x10321)+~P8(x10322,f11(x10321),x10321)+P8(f11(x10321),x10322,x10321)+P8(f9(x10323,x10322,x10321),x10324,x10321)
% 3.09/3.12 [1033]~P57(x10331)+~P53(x10331)+~P6(f13(x10334,x10332,x10331),x10333,x10331)+~P6(f11(x10331),x10334,x10331)+P8(f11(x10331),x10332,x10331)+P6(f9(x10333,x10332,x10331),x10334,x10331)
% 3.09/3.12 [1034]~P57(x10341)+~P53(x10341)+~P8(f13(x10344,x10342,x10341),x10343,x10341)+~P8(f11(x10341),x10344,x10341)+P8(f11(x10341),x10342,x10341)+P8(f9(x10343,x10342,x10341),x10344,x10341)
% 3.09/3.12 [1059]~P57(x10593)+~P53(x10593)+~P6(x10592,x10594,x10593)+~P6(x10591,f11(x10593),x10593)+~P8(f11(x10593),f13(x10592,x10594,x10593),x10593)+P6(f9(x10591,x10592,x10593),f9(x10591,x10594,x10593),x10593)
% 3.09/3.12 [1064]~P57(x10644)+~P53(x10644)+~P6(x10641,f11(x10644),x10644)+~P6(x10642,f13(x10641,x10643,x10644),x10644)+~P6(f13(x10641,x10643,x10644),x10642,x10644)+P6(x10641,f9(x10642,x10643,x10644),x10644)
% 3.09/3.12 [1065]~P57(x10654)+~P53(x10654)+~P8(x10653,f11(x10654),x10654)+~P6(x10652,f13(x10651,x10653,x10654),x10654)+~P6(f13(x10651,x10653,x10654),x10652,x10654)+P6(x10651,f9(x10652,x10653,x10654),x10654)
% 3.09/3.12 [1066]~P57(x10664)+~P53(x10664)+~P8(x10663,f11(x10664),x10664)+~P8(x10662,f13(x10661,x10663,x10664),x10664)+~P8(f13(x10661,x10663,x10664),x10662,x10664)+P8(x10661,f9(x10662,x10663,x10664),x10664)
% 3.09/3.12 [1067]~P57(x10674)+~P53(x10674)+~P8(x10671,f11(x10674),x10674)+~P8(x10672,f13(x10671,x10673,x10674),x10674)+~P8(f13(x10671,x10673,x10674),x10672,x10674)+P8(x10671,f9(x10672,x10673,x10674),x10674)
% 3.09/3.12 [1068]~P57(x10683)+~P53(x10683)+~P8(x10682,f11(x10683),x10683)+~P6(x10681,f13(x10684,x10682,x10683),x10683)+~P6(f13(x10684,x10682,x10683),x10681,x10683)+P6(f9(x10681,x10682,x10683),x10684,x10683)
% 3.09/3.12 [1069]~P57(x10693)+~P53(x10693)+~P8(x10692,f11(x10693),x10693)+~P8(x10691,f13(x10694,x10692,x10693),x10693)+~P8(f13(x10694,x10692,x10693),x10691,x10693)+P8(f9(x10691,x10692,x10693),x10694,x10693)
% 3.09/3.12 [1070]~P57(x10703)+~P53(x10703)+~P6(f11(x10703),x10704,x10703)+~P6(x10701,f13(x10704,x10702,x10703),x10703)+~P6(f13(x10704,x10702,x10703),x10701,x10703)+P6(f9(x10701,x10702,x10703),x10704,x10703)
% 3.09/3.12 [1071]~P57(x10713)+~P53(x10713)+~P8(f11(x10713),x10714,x10713)+~P8(x10711,f13(x10714,x10712,x10713),x10713)+~P8(f13(x10714,x10712,x10713),x10711,x10713)+P8(f9(x10711,x10712,x10713),x10714,x10713)
% 3.09/3.12 [1041]~P69(x10413)+~P6(x10412,x10415,x10413)+~P6(x10411,x10414,x10413)+~P6(f11(x10413),x10414,x10413)+~P6(f11(x10413),x10412,x10413)+P6(f13(x10411,x10412,x10413),f13(x10414,x10415,x10413),x10413)
% 3.09/3.12 [1042]~P69(x10423)+~P6(x10422,x10425,x10423)+~P6(x10421,x10424,x10423)+~P6(f11(x10423),x10422,x10423)+~P6(f11(x10423),x10421,x10423)+P6(f13(x10421,x10422,x10423),f13(x10424,x10425,x10423),x10423)
% 3.09/3.12 [1043]~P57(x10433)+~P6(x10435,x10432,x10433)+~P6(x10431,x10434,x10433)+~P6(f11(x10433),x10431,x10433)+~P8(f11(x10433),x10435,x10433)+P6(f9(x10431,x10432,x10433),f9(x10434,x10435,x10433),x10433)
% 3.09/3.12 [1044]~P62(x10443)+~P6(x10442,x10445,x10443)+~P8(x10441,x10444,x10443)+~P6(f11(x10443),x10441,x10443)+~P8(f11(x10443),x10442,x10443)+P8(f13(x10441,x10442,x10443),f13(x10444,x10445,x10443),x10443)
% 3.09/3.12 [1045]~P62(x10453)+~P6(x10451,x10454,x10453)+~P8(x10452,x10455,x10453)+~P6(f11(x10453),x10452,x10453)+~P8(f11(x10453),x10451,x10453)+P8(f13(x10451,x10452,x10453),f13(x10454,x10455,x10453),x10453)
% 3.09/3.12 [1046]~P62(x10463)+~P8(x10462,x10465,x10463)+~P8(x10461,x10464,x10463)+~P6(f11(x10463),x10462,x10463)+~P6(f11(x10463),x10461,x10463)+P8(f13(x10461,x10462,x10463),f13(x10464,x10465,x10463),x10463)
% 3.09/3.12 [1047]~P62(x10473)+~P8(x10472,x10475,x10473)+~P8(x10471,x10474,x10473)+~P6(f11(x10473),x10472,x10473)+~P8(f11(x10473),x10474,x10473)+P8(f13(x10471,x10472,x10473),f13(x10474,x10475,x10473),x10473)
% 3.09/3.12 [1048]~P57(x10483)+~P6(x10485,x10482,x10483)+~P8(x10481,x10484,x10483)+~P6(f11(x10483),x10481,x10483)+~P8(f11(x10483),x10485,x10483)+P8(f9(x10481,x10482,x10483),f9(x10484,x10485,x10483),x10483)
% 3.09/3.12 [1049]~P57(x10493)+~P6(x10491,x10494,x10493)+~P8(x10495,x10492,x10493)+~P8(f11(x10493),x10495,x10493)+~P8(f11(x10493),x10491,x10493)+P8(f9(x10491,x10492,x10493),f9(x10494,x10495,x10493),x10493)
% 3.09/3.12 %EqnAxiom
% 3.09/3.12 [1]E(x11,x11)
% 3.09/3.12 [2]E(x22,x21)+~E(x21,x22)
% 3.09/3.12 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 3.09/3.12 [4]~E(x41,x42)+E(f3(x41),f3(x42))
% 3.09/3.12 [5]~E(x51,x52)+E(f8(x51,x53,x54),f8(x52,x53,x54))
% 3.09/3.12 [6]~E(x61,x62)+E(f8(x63,x61,x64),f8(x63,x62,x64))
% 3.09/3.12 [7]~E(x71,x72)+E(f8(x73,x74,x71),f8(x73,x74,x72))
% 3.09/3.12 [8]~E(x81,x82)+E(f13(x81,x83,x84),f13(x82,x83,x84))
% 3.09/3.12 [9]~E(x91,x92)+E(f13(x93,x91,x94),f13(x93,x92,x94))
% 3.09/3.12 [10]~E(x101,x102)+E(f13(x103,x104,x101),f13(x103,x104,x102))
% 3.09/3.12 [11]~E(x111,x112)+E(f4(x111,x113,x114),f4(x112,x113,x114))
% 3.09/3.12 [12]~E(x121,x122)+E(f4(x123,x121,x124),f4(x123,x122,x124))
% 3.09/3.12 [13]~E(x131,x132)+E(f4(x133,x134,x131),f4(x133,x134,x132))
% 3.09/3.12 [14]~E(x141,x142)+E(f6(x141,x143,x144),f6(x142,x143,x144))
% 3.09/3.12 [15]~E(x151,x152)+E(f6(x153,x151,x154),f6(x153,x152,x154))
% 3.09/3.12 [16]~E(x161,x162)+E(f6(x163,x164,x161),f6(x163,x164,x162))
% 3.09/3.12 [17]~E(x171,x172)+E(f11(x171),f11(x172))
% 3.09/3.12 [18]~E(x181,x182)+E(f9(x181,x183,x184),f9(x182,x183,x184))
% 3.09/3.12 [19]~E(x191,x192)+E(f9(x193,x191,x194),f9(x193,x192,x194))
% 3.09/3.12 [20]~E(x201,x202)+E(f9(x203,x204,x201),f9(x203,x204,x202))
% 3.09/3.12 [21]~E(x211,x212)+E(f15(x211,x213,x214),f15(x212,x213,x214))
% 3.09/3.12 [22]~E(x221,x222)+E(f15(x223,x221,x224),f15(x223,x222,x224))
% 3.09/3.12 [23]~E(x231,x232)+E(f15(x233,x234,x231),f15(x233,x234,x232))
% 3.09/3.12 [24]~E(x241,x242)+E(f10(x241,x243,x244),f10(x242,x243,x244))
% 3.09/3.12 [25]~E(x251,x252)+E(f10(x253,x251,x254),f10(x253,x252,x254))
% 3.09/3.12 [26]~E(x261,x262)+E(f10(x263,x264,x261),f10(x263,x264,x262))
% 3.09/3.12 [27]~E(x271,x272)+E(f24(x271,x273),f24(x272,x273))
% 3.09/3.12 [28]~E(x281,x282)+E(f24(x283,x281),f24(x283,x282))
% 3.09/3.12 [29]~E(x291,x292)+E(f22(x291),f22(x292))
% 3.09/3.12 [30]~E(x301,x302)+E(f12(x301,x303),f12(x302,x303))
% 3.09/3.12 [31]~E(x311,x312)+E(f12(x313,x311),f12(x313,x312))
% 3.09/3.12 [32]~E(x321,x322)+E(f14(x321,x323,x324),f14(x322,x323,x324))
% 3.09/3.12 [33]~E(x331,x332)+E(f14(x333,x331,x334),f14(x333,x332,x334))
% 3.09/3.12 [34]~E(x341,x342)+E(f14(x343,x344,x341),f14(x343,x344,x342))
% 3.09/3.12 [35]~E(x351,x352)+E(f17(x351,x353,x354),f17(x352,x353,x354))
% 3.09/3.12 [36]~E(x361,x362)+E(f17(x363,x361,x364),f17(x363,x362,x364))
% 3.09/3.12 [37]~E(x371,x372)+E(f17(x373,x374,x371),f17(x373,x374,x372))
% 3.09/3.12 [38]~E(x381,x382)+E(f5(x381,x383),f5(x382,x383))
% 3.09/3.12 [39]~E(x391,x392)+E(f5(x393,x391),f5(x393,x392))
% 3.09/3.12 [40]~E(x401,x402)+E(f16(x401,x403,x404),f16(x402,x403,x404))
% 3.09/3.12 [41]~E(x411,x412)+E(f16(x413,x411,x414),f16(x413,x412,x414))
% 3.09/3.12 [42]~E(x421,x422)+E(f16(x423,x424,x421),f16(x423,x424,x422))
% 3.09/3.12 [43]~E(x431,x432)+E(f21(x431,x433,x434),f21(x432,x433,x434))
% 3.09/3.12 [44]~E(x441,x442)+E(f21(x443,x441,x444),f21(x443,x442,x444))
% 3.09/3.12 [45]~E(x451,x452)+E(f21(x453,x454,x451),f21(x453,x454,x452))
% 3.09/3.12 [46]~E(x461,x462)+E(f7(x461,x463,x464),f7(x462,x463,x464))
% 3.09/3.12 [47]~E(x471,x472)+E(f7(x473,x471,x474),f7(x473,x472,x474))
% 3.09/3.12 [48]~E(x481,x482)+E(f7(x483,x484,x481),f7(x483,x484,x482))
% 3.09/3.12 [49]~E(x491,x492)+E(f20(x491,x493,x494),f20(x492,x493,x494))
% 3.09/3.12 [50]~E(x501,x502)+E(f20(x503,x501,x504),f20(x503,x502,x504))
% 3.09/3.12 [51]~E(x511,x512)+E(f20(x513,x514,x511),f20(x513,x514,x512))
% 3.09/3.12 [52]~E(x521,x522)+E(f18(x521,x523),f18(x522,x523))
% 3.09/3.12 [53]~E(x531,x532)+E(f18(x533,x531),f18(x533,x532))
% 3.09/3.12 [54]~E(x541,x542)+E(f19(x541,x543,x544),f19(x542,x543,x544))
% 3.09/3.12 [55]~E(x551,x552)+E(f19(x553,x551,x554),f19(x553,x552,x554))
% 3.09/3.12 [56]~E(x561,x562)+E(f19(x563,x564,x561),f19(x563,x564,x562))
% 3.09/3.12 [57]~E(x571,x572)+E(f26(x571),f26(x572))
% 3.09/3.12 [58]~E(x581,x582)+E(f28(x581,x583,x584),f28(x582,x583,x584))
% 3.09/3.12 [59]~E(x591,x592)+E(f28(x593,x591,x594),f28(x593,x592,x594))
% 3.09/3.12 [60]~E(x601,x602)+E(f28(x603,x604,x601),f28(x603,x604,x602))
% 3.09/3.12 [61]~P1(x611)+P1(x612)+~E(x611,x612)
% 3.09/3.12 [62]~P42(x621)+P42(x622)+~E(x621,x622)
% 3.09/3.12 [63]~P12(x631)+P12(x632)+~E(x631,x632)
% 3.09/3.12 [64]~P61(x641)+P61(x642)+~E(x641,x642)
% 3.09/3.12 [65]~P62(x651)+P62(x652)+~E(x651,x652)
% 3.09/3.12 [66]~P57(x661)+P57(x662)+~E(x661,x662)
% 3.09/3.12 [67]~P13(x671)+P13(x672)+~E(x671,x672)
% 3.09/3.12 [68]~P2(x681)+P2(x682)+~E(x681,x682)
% 3.09/3.12 [69]P8(x692,x693,x694)+~E(x691,x692)+~P8(x691,x693,x694)
% 3.09/3.12 [70]P8(x703,x702,x704)+~E(x701,x702)+~P8(x703,x701,x704)
% 3.09/3.12 [71]P8(x713,x714,x712)+~E(x711,x712)+~P8(x713,x714,x711)
% 3.09/3.12 [72]~P31(x721)+P31(x722)+~E(x721,x722)
% 3.09/3.12 [73]~P53(x731)+P53(x732)+~E(x731,x732)
% 3.09/3.12 [74]P6(x742,x743,x744)+~E(x741,x742)+~P6(x741,x743,x744)
% 3.09/3.12 [75]P6(x753,x752,x754)+~E(x751,x752)+~P6(x753,x751,x754)
% 3.09/3.12 [76]P6(x763,x764,x762)+~E(x761,x762)+~P6(x763,x764,x761)
% 3.09/3.12 [77]~P3(x771)+P3(x772)+~E(x771,x772)
% 3.09/3.12 [78]~P43(x781)+P43(x782)+~E(x781,x782)
% 3.09/3.12 [79]~P34(x791)+P34(x792)+~E(x791,x792)
% 3.09/3.12 [80]~P63(x801)+P63(x802)+~E(x801,x802)
% 3.09/3.12 [81]~P14(x811)+P14(x812)+~E(x811,x812)
% 3.09/3.12 [82]~P50(x821)+P50(x822)+~E(x821,x822)
% 3.09/3.12 [83]~P25(x831)+P25(x832)+~E(x831,x832)
% 3.09/3.12 [84]~P51(x841)+P51(x842)+~E(x841,x842)
% 3.09/3.12 [85]~P32(x851)+P32(x852)+~E(x851,x852)
% 3.09/3.12 [86]~P65(x861)+P65(x862)+~E(x861,x862)
% 3.09/3.12 [87]P7(x872,x873,x874)+~E(x871,x872)+~P7(x871,x873,x874)
% 3.09/3.12 [88]P7(x883,x882,x884)+~E(x881,x882)+~P7(x883,x881,x884)
% 3.09/3.12 [89]P7(x893,x894,x892)+~E(x891,x892)+~P7(x893,x894,x891)
% 3.09/3.12 [90]~P4(x901)+P4(x902)+~E(x901,x902)
% 3.09/3.12 [91]~P67(x911)+P67(x912)+~E(x911,x912)
% 3.09/3.12 [92]~P52(x921)+P52(x922)+~E(x921,x922)
% 3.09/3.12 [93]~P38(x931)+P38(x932)+~E(x931,x932)
% 3.09/3.12 [94]~P9(x941)+P9(x942)+~E(x941,x942)
% 3.09/3.12 [95]~P40(x951)+P40(x952)+~E(x951,x952)
% 3.09/3.12 [96]~P11(x961)+P11(x962)+~E(x961,x962)
% 3.09/3.12 [97]~P66(x971)+P66(x972)+~E(x971,x972)
% 3.09/3.12 [98]~P36(x981)+P36(x982)+~E(x981,x982)
% 3.09/3.12 [99]~P15(x991)+P15(x992)+~E(x991,x992)
% 3.09/3.12 [100]~P39(x1001)+P39(x1002)+~E(x1001,x1002)
% 3.09/3.12 [101]~P56(x1011)+P56(x1012)+~E(x1011,x1012)
% 3.09/3.12 [102]~P54(x1021)+P54(x1022)+~E(x1021,x1022)
% 3.09/3.12 [103]~P27(x1031)+P27(x1032)+~E(x1031,x1032)
% 3.09/3.12 [104]~P20(x1041)+P20(x1042)+~E(x1041,x1042)
% 3.09/3.12 [105]~P37(x1051)+P37(x1052)+~E(x1051,x1052)
% 3.09/3.12 [106]~P29(x1061)+P29(x1062)+~E(x1061,x1062)
% 3.09/3.12 [107]~P55(x1071)+P55(x1072)+~E(x1071,x1072)
% 3.09/3.12 [108]~P69(x1081)+P69(x1082)+~E(x1081,x1082)
% 3.09/3.12 [109]~P41(x1091)+P41(x1092)+~E(x1091,x1092)
% 3.09/3.12 [110]~P48(x1101)+P48(x1102)+~E(x1101,x1102)
% 3.09/3.12 [111]~P16(x1111)+P16(x1112)+~E(x1111,x1112)
% 3.09/3.12 [112]~P24(x1121)+P24(x1122)+~E(x1121,x1122)
% 3.09/3.12 [113]~P21(x1131)+P21(x1132)+~E(x1131,x1132)
% 3.09/3.12 [114]~P23(x1141)+P23(x1142)+~E(x1141,x1142)
% 3.09/3.12 [115]~P46(x1151)+P46(x1152)+~E(x1151,x1152)
% 3.09/3.12 [116]~P19(x1161)+P19(x1162)+~E(x1161,x1162)
% 3.09/3.12 [117]~P70(x1171)+P70(x1172)+~E(x1171,x1172)
% 3.09/3.12 [118]~P5(x1181)+P5(x1182)+~E(x1181,x1182)
% 3.09/3.12 [119]~P10(x1191)+P10(x1192)+~E(x1191,x1192)
% 3.09/3.12 [120]~P68(x1201)+P68(x1202)+~E(x1201,x1202)
% 3.09/3.12 [121]~P26(x1211)+P26(x1212)+~E(x1211,x1212)
% 3.09/3.12 [122]~P58(x1221)+P58(x1222)+~E(x1221,x1222)
% 3.09/3.12 [123]~P49(x1231)+P49(x1232)+~E(x1231,x1232)
% 3.09/3.12 [124]~P17(x1241)+P17(x1242)+~E(x1241,x1242)
% 3.09/3.12 [125]~P35(x1251)+P35(x1252)+~E(x1251,x1252)
% 3.09/3.12 [126]~P30(x1261)+P30(x1262)+~E(x1261,x1262)
% 3.09/3.12 [127]~P33(x1271)+P33(x1272)+~E(x1271,x1272)
% 3.09/3.12 [128]~P71(x1281)+P71(x1282)+~E(x1281,x1282)
% 3.09/3.12 [129]~P18(x1291)+P18(x1292)+~E(x1291,x1292)
% 3.09/3.12 [130]~P64(x1301)+P64(x1302)+~E(x1301,x1302)
% 3.09/3.12 [131]~P22(x1311)+P22(x1312)+~E(x1311,x1312)
% 3.09/3.12 [132]~P72(x1321)+P72(x1322)+~E(x1321,x1322)
% 3.09/3.12 [133]~P45(x1331)+P45(x1332)+~E(x1331,x1332)
% 3.09/3.12 [134]~P28(x1341)+P28(x1342)+~E(x1341,x1342)
% 3.09/3.12 [135]~P59(x1351)+P59(x1352)+~E(x1351,x1352)
% 3.09/3.12 [136]~P60(x1361)+P60(x1362)+~E(x1361,x1362)
% 3.09/3.12 [137]~P47(x1371)+P47(x1372)+~E(x1371,x1372)
% 3.09/3.12 [138]~P44(x1381)+P44(x1382)+~E(x1381,x1382)
% 3.09/3.12
% 3.09/3.12 %-------------------------------------------
% 3.09/3.13 cnf(1311,plain,
% 3.09/3.13 (E(f3(f3(x13111)),x13111)),
% 3.09/3.13 inference(rename_variables,[],[269])).
% 3.09/3.13 cnf(1538,plain,
% 3.09/3.13 (E(f10(f7(x15381,x15382,a2),x15383,a2),f10(x15381,f4(x15382,x15383,a2),a2))),
% 3.09/3.13 inference(scs_inference,[],[139,140,141,142,145,148,149,150,151,160,161,162,164,166,169,171,172,174,177,179,180,183,186,187,188,190,191,193,194,195,197,198,199,202,204,207,209,211,216,217,218,221,224,225,228,229,230,232,238,241,247,250,253,257,260,263,266,269,1311,271,2,395,394,138,137,135,133,131,129,128,126,124,123,122,117,114,113,112,111,110,109,107,105,104,102,100,95,94,92,91,77,73,72,62,427,698,696,694,692,656,654,652,651,638,637,548,1099,623,620,675,341,340,497,496,495,494,493,492,491,490,489,488,487,486,484,387,351,346,345,344,342,321,320,319,318,317,316,315,314,313,312,311,310,309,308,307,306,305,304,303,302,301,300,299,298,297,296,295,294,293,292,291,290,289,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,664,511,503,502,501,500,499,498,448,423,422,421,420,418,417,416,414,413,410,396,360,359,358,356,355,354,353,352,350,349,348,334,607,606,605,604,603,602,601,599,598,597,564,563,537,505,504,478,451,447,446,444,443,441,402,398,392,391,389,384,378,376,375,374,373,372,370,369,367,366,365,364,362,361,338,337,325,324,323,1083,1035,880,879,749,748,747])).
% 3.09/3.13 cnf(1832,plain,
% 3.09/3.13 (~E(f10(f7(a25,a27,a2),f26(f7(a25,a27,a2)),a2),f10(a25,f4(a27,f26(f7(a25,a27,a2)),a2),a2))),
% 3.09/3.13 inference(scs_inference,[],[272,139,140,141,142,145,146,148,149,150,151,160,161,162,163,164,166,169,171,172,173,174,177,179,180,183,186,187,188,189,190,191,193,194,195,197,198,199,202,204,207,209,210,211,212,216,217,218,221,222,224,225,227,228,229,230,232,234,238,241,246,247,250,253,254,256,257,260,263,266,269,1311,271,2,395,394,138,137,135,133,131,129,128,126,124,123,122,117,114,113,112,111,110,109,107,105,104,102,100,95,94,92,91,77,73,72,62,427,698,696,694,692,656,654,652,651,638,637,548,1099,623,620,675,341,340,497,496,495,494,493,492,491,490,489,488,487,486,484,387,351,346,345,344,342,321,320,319,318,317,316,315,314,313,312,311,310,309,308,307,306,305,304,303,302,301,300,299,298,297,296,295,294,293,292,291,290,289,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,664,511,503,502,501,500,499,498,448,423,422,421,420,418,417,416,414,413,410,396,360,359,358,356,355,354,353,352,350,349,348,334,607,606,605,604,603,602,601,599,598,597,564,563,537,505,504,478,451,447,446,444,443,441,402,398,392,391,389,384,378,376,375,374,373,372,370,369,367,366,365,364,362,361,338,337,325,324,323,1083,1035,880,879,749,748,747,746,745,744,743,742,741,740,739,738,737,736,734,733,732,731,726,724,723,722,720,719,718,717,716,715,714,713,712,711,710,673,672,629,596,583,582,580,579,578,576,575,574,482,481,480,479,436,1082,1081,1080,1079,993,992,991,990,987,985,984,968,967,966,965,930,922,921,920,919,918,917,916,915,914,913,912,911,910,909,907,905,904,902,898,897,896,895,894,893,892,891,889,887,886,884,882,881,840,667,666,630,617,616,615,613,611,610,1063,1062,1061,1060,1008,996,995,994,1089,1076,756,1090,1055,709,1102,1101,1103,136,71,70,69,520,516,702,701,700,699,688,686,684,682,650,648,643,636,634,551,550,547,510,509,508,507,1073,841])).
% 3.09/3.13 cnf(2128,plain,
% 3.09/3.13 ($false),
% 3.09/3.13 inference(scs_inference,[],[1538,1832]),
% 3.09/3.13 ['proof']).
% 3.09/3.13 % SZS output end Proof
% 3.09/3.13 % Total time :2.160000s
%------------------------------------------------------------------------------