TSTP Solution File: ALG407-1 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : ALG407-1 : 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 : n026.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 15:59:52 EDT 2023
% Result : Unsatisfiable 1.09s 1.34s
% Output : CNFRefutation 1.09s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ALG407-1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n026.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 28 05:19:19 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.54 start to proof:theBenchmark
% 0.92/1.27 %-------------------------------------------
% 0.92/1.27 % File :CSE---1.6
% 0.92/1.27 % Problem :theBenchmark
% 0.92/1.27 % Transform :cnf
% 0.92/1.27 % Format :tptp:raw
% 0.92/1.27 % Command :java -jar mcs_scs.jar %d %s
% 0.92/1.27
% 0.92/1.27 % Result :Theorem 0.280000s
% 0.92/1.27 % Output :CNFRefutation 0.280000s
% 0.92/1.27 %-------------------------------------------
% 0.92/1.28 %------------------------------------------------------------------------------
% 0.92/1.28 % File : ALG407-1 : TPTP v8.1.2. Released v4.1.0.
% 0.92/1.28 % Domain : General Algebra
% 0.92/1.28 % Problem : Fundamental theorem of algebra 0735_17
% 0.92/1.28 % Version : Especial.
% 0.92/1.28 % English :
% 0.92/1.28
% 0.92/1.28 % Refs : [Nip10] Nipkow (2010), Email to Geoff Sutcliffe
% 0.92/1.28 % : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day
% 0.92/1.28 % Source : [Nip10]
% 0.92/1.28 % Names : Fundamental_Theorem_Algebra-0735_17 [Nip10]
% 0.92/1.28
% 0.92/1.28 % Status : Unsatisfiable
% 0.92/1.28 % Rating : 0.29 v8.1.0, 0.26 v7.4.0, 0.29 v7.3.0, 0.33 v7.1.0, 0.25 v7.0.0, 0.33 v6.4.0, 0.27 v6.2.0, 0.30 v6.1.0, 0.29 v6.0.0, 0.50 v5.5.0, 0.60 v5.3.0, 0.67 v5.2.0, 0.62 v5.1.0, 0.71 v5.0.0, 0.64 v4.1.0
% 0.92/1.28 % Syntax : Number of clauses : 1232 ( 254 unt; 261 nHn; 856 RR)
% 0.92/1.28 % Number of literals : 3782 ( 652 equ;2291 neg)
% 0.92/1.28 % Maximal clause size : 7 ( 3 avg)
% 0.92/1.28 % Maximal term depth : 7 ( 1 avg)
% 0.92/1.28 % Number of predicates : 67 ( 66 usr; 0 prp; 1-3 aty)
% 0.92/1.28 % Number of functors : 26 ( 26 usr; 9 con; 0-3 aty)
% 0.92/1.28 % Number of variables : 2980 ( 132 sgn)
% 0.92/1.28 % SPC : CNF_UNS_RFO_SEQ_NHN
% 0.92/1.28
% 0.92/1.28 % Comments :
% 0.92/1.28 %------------------------------------------------------------------------------
% 0.92/1.28 cnf(cls_div__0_0,axiom,
% 0.92/1.28 ( ~ class_Divides_Osemiring__div(T_a)
% 0.92/1.28 | c_Divides_Odiv__class_Odiv(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.92/1.28
% 0.92/1.28 cnf(cls_eq__iff__diff__eq__0_0,axiom,
% 0.92/1.28 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.92/1.28 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.92/1.28
% 0.92/1.28 cnf(cls_right__minus__eq_1,axiom,
% 0.92/1.28 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.92/1.28 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.92/1.28
% 0.92/1.28 cnf(cls_diff__0__right_0,axiom,
% 0.92/1.28 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.92/1.28 | c_HOL_Ominus__class_Ominus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ).
% 0.92/1.28
% 0.92/1.28 cnf(cls_diff__self_0,axiom,
% 0.92/1.28 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.92/1.28 | c_HOL_Ominus__class_Ominus(V_a,V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.92/1.28
% 0.92/1.28 cnf(cls_class__ringb_Osubr0__iff_1,axiom,
% 0.92/1.28 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.92/1.28 | ~ class_Int_Onumber__ring(T_a)
% 0.92/1.28 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.92/1.28
% 0.92/1.28 cnf(cls_neg__0__equal__iff__equal_0,axiom,
% 0.92/1.28 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.92/1.28 | c_HOL_Ozero__class_Ozero(T_a) != c_HOL_Ouminus__class_Ouminus(V_a,T_a)
% 0.92/1.28 | c_HOL_Ozero__class_Ozero(T_a) = V_a ) ).
% 0.92/1.28
% 0.92/1.28 cnf(cls_eq__iff__diff__eq__0_1,axiom,
% 0.92/1.28 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.92/1.28 | c_HOL_Ominus__class_Ominus(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.92/1.28 | V_a = V_b ) ).
% 0.92/1.28
% 0.92/1.28 cnf(cls_right__minus__eq_0,axiom,
% 0.92/1.28 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.92/1.28 | c_HOL_Ominus__class_Ominus(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.92/1.28 | V_a = V_b ) ).
% 0.92/1.28
% 0.92/1.28 cnf(cls_class__ringb_Osubr0__iff_0,axiom,
% 0.92/1.28 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.92/1.28 | ~ class_Int_Onumber__ring(T_a)
% 0.92/1.28 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.92/1.28 | V_x = V_y ) ).
% 0.92/1.28
% 0.92/1.28 cnf(cls_divide__zero__left_0,axiom,
% 0.92/1.28 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.92/1.28 | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.92/1.28
% 0.92/1.28 cnf(cls_divide__eq__eq_1,axiom,
% 0.92/1.28 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.92/1.28 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.28 | c_HOL_Oinverse__class_Odivide(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.92/1.28
% 0.92/1.28 cnf(cls_divide__zero_0,axiom,
% 0.92/1.28 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.92/1.28 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.28 | c_HOL_Oinverse__class_Odivide(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.92/1.28
% 0.92/1.28 cnf(cls_divide_Ozero_0,axiom,
% 0.92/1.28 ( ~ class_RealVector_Oreal__normed__field(T_a)
% 0.92/1.28 | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.92/1.28
% 0.92/1.28 cnf(cls_sgn__0__0_0,axiom,
% 0.92/1.28 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.92/1.28 | c_HOL_Osgn__class_Osgn(V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.92/1.28 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.92/1.28
% 0.92/1.28 cnf(cls_sgn__zero__iff_0,axiom,
% 0.92/1.28 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 0.92/1.28 | c_HOL_Osgn__class_Osgn(V_x,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.92/1.28 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.92/1.28
% 0.92/1.28 cnf(cls_exp__not__eq__zero_0,axiom,
% 0.92/1.28 ( ~ class_SEQ_Obanach(T_a)
% 0.92/1.28 | ~ class_RealVector_Oreal__normed__field(T_a)
% 0.92/1.28 | c_Transcendental_Oexp(V_x,T_a) != c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.92/1.28
% 0.92/1.28 cnf(cls_frac__le_0,axiom,
% 0.92/1.28 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.28 | 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)
% 0.92/1.28 | ~ c_lessequals(V_w,V_z,T_a)
% 0.92/1.28 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_w,T_a)
% 0.92/1.28 | ~ c_lessequals(V_x,V_y,T_a)
% 0.92/1.28 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ).
% 0.92/1.28
% 0.92/1.28 cnf(cls_less__divide__eq__number__of_3,axiom,
% 0.92/1.28 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.28 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.28 | ~ class_Int_Onumber(T_a)
% 0.92/1.28 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 0.92/1.28 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.28 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.28 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.92/1.28
% 0.92/1.28 cnf(cls_less__divide__eq__number__of_2,axiom,
% 0.92/1.28 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.28 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.28 | ~ class_Int_Onumber(T_a)
% 0.92/1.28 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.28 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.28 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.92/1.28 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ).
% 0.92/1.28
% 0.92/1.28 cnf(cls_le__imp__inverse__le__neg_0,axiom,
% 0.92/1.28 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.28 | c_lessequals(c_HOL_Oinverse__class_Oinverse(V_b,T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a)
% 0.92/1.28 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.28 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.92/1.28
% 0.92/1.28 cnf(cls_inverse__le__imp__le__neg_0,axiom,
% 0.92/1.28 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.28 | c_lessequals(V_b,V_a,T_a)
% 0.92/1.28 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.28 | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a) ) ).
% 0.92/1.28
% 0.92/1.28 cnf(cls_le__imp__inverse__le_0,axiom,
% 0.92/1.28 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.28 | c_lessequals(c_HOL_Oinverse__class_Oinverse(V_b,T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a)
% 0.92/1.28 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.92/1.28 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.92/1.28
% 0.92/1.28 cnf(cls_inverse__le__imp__le_0,axiom,
% 0.92/1.28 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.28 | c_lessequals(V_b,V_a,T_a)
% 0.92/1.28 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.92/1.28 | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a) ) ).
% 0.92/1.28
% 0.92/1.28 cnf(cls_divide__less__eq__number__of_3,axiom,
% 0.92/1.28 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.28 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.28 | ~ class_Int_Onumber(T_a)
% 0.92/1.28 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 0.92/1.28 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 0.92/1.29 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.29 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.92/1.29
% 0.92/1.29 cnf(cls_divide__less__eq__number__of_2,axiom,
% 0.92/1.29 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.29 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.29 | ~ class_Int_Onumber(T_a)
% 0.92/1.29 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 0.92/1.29 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.29 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.92/1.29 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) ) ).
% 0.92/1.29
% 0.92/1.29 cnf(cls_less__divide__eq__number__of1_3,axiom,
% 0.92/1.29 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.29 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.29 | ~ class_Int_Onumber(T_a)
% 0.92/1.29 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a)
% 0.92/1.29 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.29 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.29 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) ) ).
% 0.92/1.29
% 0.92/1.29 cnf(cls_less__divide__eq__number__of1_2,axiom,
% 0.92/1.29 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.29 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.29 | ~ class_Int_Onumber(T_a)
% 0.92/1.29 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.29 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.29 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 0.92/1.29 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a) ) ).
% 0.92/1.29
% 0.92/1.29 cnf(cls_divide__less__eq__number__of1_3,axiom,
% 0.92/1.29 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.29 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.29 | ~ class_Int_Onumber(T_a)
% 0.92/1.29 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_a,T_a)
% 0.92/1.29 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.92/1.29 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.29 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) ) ).
% 0.92/1.29
% 0.92/1.29 cnf(cls_divide__less__eq__number__of1_2,axiom,
% 0.92/1.29 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.29 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.29 | ~ class_Int_Onumber(T_a)
% 0.92/1.29 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.92/1.29 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.29 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 0.92/1.29 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_a,T_a) ) ).
% 0.92/1.29
% 0.92/1.29 cnf(cls_divide__nonpos__neg_0,axiom,
% 0.92/1.29 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.29 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),T_a)
% 0.92/1.29 | ~ c_HOL_Oord__class_Oless(V_y,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.29 | ~ c_lessequals(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.92/1.29
% 0.92/1.29 cnf(cls_divide__nonneg__pos_0,axiom,
% 0.92/1.29 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.29 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),T_a)
% 0.92/1.29 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)
% 0.92/1.29 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ).
% 0.92/1.29
% 0.92/1.29 cnf(cls_frac__less_0,axiom,
% 0.92/1.29 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.29 | 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)
% 0.92/1.29 | ~ c_lessequals(V_w,V_z,T_a)
% 0.92/1.29 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_w,T_a)
% 0.92/1.29 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.92/1.29 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ).
% 0.92/1.29
% 0.92/1.29 cnf(cls_divide__nonpos__pos_0,axiom,
% 0.92/1.29 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.29 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.29 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)
% 0.92/1.29 | ~ c_lessequals(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.92/1.29
% 0.92/1.29 cnf(cls_divide__nonneg__neg_0,axiom,
% 0.92/1.29 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.29 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.29 | ~ c_HOL_Oord__class_Oless(V_y,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.29 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ).
% 0.92/1.29
% 0.92/1.29 cnf(cls_frac__less2_0,axiom,
% 0.92/1.29 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.29 | 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)
% 0.92/1.29 | ~ c_HOL_Oord__class_Oless(V_w,V_z,T_a)
% 0.92/1.29 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_w,T_a)
% 0.92/1.29 | ~ c_lessequals(V_x,V_y,T_a)
% 0.92/1.29 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ).
% 0.92/1.29
% 0.92/1.29 cnf(cls_le__divide__eq_3,axiom,
% 0.92/1.29 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.29 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.29 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 0.92/1.29 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.29 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.29 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.92/1.29
% 0.92/1.29 cnf(cls_le__divide__eq_2,axiom,
% 0.92/1.29 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.29 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.29 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.29 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.29 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.92/1.29 | ~ c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ).
% 0.92/1.29
% 0.92/1.29 cnf(cls_divide__le__eq_3,axiom,
% 0.92/1.29 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.29 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.29 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a)
% 0.92/1.29 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.92/1.29 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.29 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.92/1.29
% 0.92/1.29 cnf(cls_divide__le__eq_2,axiom,
% 0.92/1.29 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.29 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.29 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.92/1.29 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.29 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.92/1.29 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) ) ).
% 0.92/1.29
% 0.92/1.29 cnf(cls_xt1_I7_J_0,axiom,
% 0.92/1.29 ( ~ class_Orderings_Oorder(T_a)
% 0.92/1.29 | c_HOL_Oord__class_Oless(V_z,V_x,T_a)
% 0.92/1.29 | ~ c_lessequals(V_z,V_y,T_a)
% 0.92/1.29 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 0.92/1.29
% 0.92/1.29 cnf(cls_xt1_I8_J_0,axiom,
% 0.92/1.29 ( ~ class_Orderings_Oorder(T_a)
% 0.92/1.29 | c_HOL_Oord__class_Oless(V_z,V_x,T_a)
% 0.92/1.29 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a)
% 0.92/1.29 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.92/1.29
% 0.92/1.29 cnf(cls_order__less__le__trans_0,axiom,
% 0.92/1.29 ( ~ class_Orderings_Opreorder(T_a)
% 0.92/1.29 | c_HOL_Oord__class_Oless(V_x,V_z,T_a)
% 0.92/1.29 | ~ c_lessequals(V_y,V_z,T_a)
% 0.92/1.29 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.92/1.29
% 0.92/1.29 cnf(cls_order__le__less__trans_0,axiom,
% 0.92/1.29 ( ~ class_Orderings_Opreorder(T_a)
% 0.92/1.29 | c_HOL_Oord__class_Oless(V_x,V_z,T_a)
% 0.92/1.29 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a)
% 0.92/1.29 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.92/1.29
% 0.92/1.29 cnf(cls_order__less__imp__le_0,axiom,
% 0.92/1.29 ( ~ class_Orderings_Opreorder(T_a)
% 0.92/1.29 | c_lessequals(V_x,V_y,T_a)
% 0.92/1.29 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.92/1.29
% 0.92/1.29 cnf(cls_order__le__less_1,axiom,
% 0.92/1.29 ( ~ class_Orderings_Oorder(T_a)
% 0.92/1.29 | c_lessequals(V_x,V_y,T_a)
% 0.92/1.29 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.92/1.29
% 0.92/1.29 cnf(cls_less__le__not__le_2,axiom,
% 0.92/1.29 ( ~ class_Orderings_Opreorder(T_a)
% 0.92/1.29 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.92/1.29 | c_lessequals(V_y,V_x,T_a)
% 0.92/1.29 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.92/1.29
% 0.92/1.29 cnf(cls_xt1_I11_J_0,axiom,
% 0.92/1.29 ( ~ class_Orderings_Oorder(T_a)
% 0.92/1.29 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.92/1.29 | V_a = V_b
% 0.92/1.29 | ~ c_lessequals(V_b,V_a,T_a) ) ).
% 0.92/1.29
% 0.92/1.29 cnf(cls_xt1_I12_J_0,axiom,
% 0.92/1.29 ( ~ class_Orderings_Oorder(T_a)
% 0.92/1.29 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.92/1.29 | ~ c_lessequals(V_b,V_a,T_a)
% 0.92/1.29 | V_a = V_b ) ).
% 0.92/1.29
% 0.92/1.29 cnf(cls_div__by__0_0,axiom,
% 0.92/1.29 ( ~ class_Divides_Osemiring__div(T_a)
% 0.92/1.29 | c_Divides_Odiv__class_Odiv(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.92/1.29
% 0.92/1.29 cnf(cls_neg__equal__0__iff__equal_0,axiom,
% 0.92/1.29 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.92/1.29 | c_HOL_Ouminus__class_Ouminus(V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.92/1.29 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.92/1.29
% 0.92/1.29 cnf(cls_nonzero__inverse__eq__imp__eq_0,axiom,
% 0.92/1.29 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 0.92/1.29 | c_HOL_Oinverse__class_Oinverse(V_a,T_a) != c_HOL_Oinverse__class_Oinverse(V_b,T_a)
% 0.92/1.29 | V_a = V_b
% 0.92/1.29 | V_b = c_HOL_Ozero__class_Ozero(T_a)
% 0.92/1.29 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.92/1.29
% 0.92/1.29 cnf(cls_inverse__nonzero__iff__nonzero_1,axiom,
% 0.92/1.29 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 0.92/1.29 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.29 | c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.92/1.29
% 0.92/1.29 cnf(cls_inverse__zero_0,axiom,
% 0.92/1.29 ( ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.29 | c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.92/1.29
% 0.92/1.29 cnf(cls_neg__equal__zero_0,axiom,
% 0.92/1.29 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a)
% 0.92/1.29 | c_HOL_Ouminus__class_Ouminus(V_a,T_a) != V_a
% 0.92/1.29 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.92/1.29
% 0.92/1.29 cnf(cls_divide__self__if_0,axiom,
% 0.92/1.29 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.92/1.29 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.29 | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.92/1.29
% 0.92/1.29 cnf(cls_nonzero__inverse__inverse__eq_0,axiom,
% 0.92/1.29 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 0.92/1.29 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) = V_a
% 0.92/1.29 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.92/1.29
% 0.92/1.29 cnf(cls_sgn__zero_0,axiom,
% 0.92/1.29 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 0.92/1.29 | c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.92/1.29
% 0.92/1.29 cnf(cls_sgn0_0,axiom,
% 0.92/1.29 ( ~ class_Ring__and__Field_Osgn__if(T_a)
% 0.92/1.29 | c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.92/1.29
% 0.92/1.29 cnf(cls_sgn__0__0_1,axiom,
% 0.92/1.29 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.92/1.29 | c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.92/1.29
% 0.92/1.29 cnf(cls_neg__0__equal__iff__equal_1,axiom,
% 0.92/1.29 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.92/1.29 | c_HOL_Ozero__class_Ozero(T_a) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.92/1.29
% 0.92/1.29 cnf(cls_inverse__nonzero__iff__nonzero_0,axiom,
% 0.92/1.29 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 0.92/1.29 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.29 | c_HOL_Oinverse__class_Oinverse(V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.92/1.29 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.92/1.29
% 0.92/1.29 cnf(cls_inverse__zero__imp__zero_0,axiom,
% 0.92/1.29 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 0.92/1.29 | c_HOL_Oinverse__class_Oinverse(V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.92/1.29 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.92/1.29
% 0.92/1.29 cnf(cls_minus__zero_0,axiom,
% 0.92/1.29 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.92/1.29 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.92/1.29
% 0.92/1.29 cnf(cls_neg__equal__zero_1,axiom,
% 0.92/1.29 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a)
% 0.92/1.29 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.92/1.29
% 0.92/1.29 cnf(cls_eq__divide__eq_2,axiom,
% 0.92/1.29 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.92/1.29 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.29 | c_HOL_Ozero__class_Ozero(T_a) = c_HOL_Oinverse__class_Odivide(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.92/1.29
% 0.92/1.29 cnf(cls_le__minus__iff_0,axiom,
% 0.92/1.29 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.92/1.29 | c_lessequals(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
% 0.92/1.29 | ~ c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ).
% 0.92/1.29
% 0.92/1.29 cnf(cls_le__minus__iff_1,axiom,
% 0.92/1.29 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.92/1.29 | c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a)
% 0.92/1.29 | ~ c_lessequals(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 0.92/1.29
% 0.92/1.29 cnf(cls_minus__le__iff_0,axiom,
% 0.92/1.29 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.92/1.29 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a)
% 0.92/1.29 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) ) ).
% 0.92/1.29
% 0.92/1.29 cnf(cls_minus__le__iff_1,axiom,
% 0.92/1.29 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.92/1.29 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a)
% 0.92/1.29 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a) ) ).
% 0.92/1.29
% 0.92/1.29 cnf(cls_less__Suc__eq__0__disj_3,axiom,
% 0.92/1.30 ( c_HOL_Oord__class_Oless(c_Suc(V_x),c_Suc(V_n),tc_nat)
% 0.92/1.30 | ~ c_HOL_Oord__class_Oless(V_x,V_n,tc_nat) ) ).
% 0.92/1.30
% 0.92/1.30 cnf(cls_Suc__less__eq_0,axiom,
% 0.92/1.30 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.92/1.30 | ~ c_HOL_Oord__class_Oless(c_Suc(V_m),c_Suc(V_n),tc_nat) ) ).
% 0.92/1.30
% 0.92/1.30 cnf(cls_Suc__mono_0,axiom,
% 0.92/1.30 ( c_HOL_Oord__class_Oless(c_Suc(V_m),c_Suc(V_n),tc_nat)
% 0.92/1.30 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.92/1.30
% 0.92/1.30 cnf(cls_minus__diff__eq_0,axiom,
% 0.92/1.30 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.92/1.30 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),T_a) = c_HOL_Ominus__class_Ominus(V_b,V_a,T_a) ) ).
% 0.92/1.30
% 0.92/1.30 cnf(cls_minus__minus_0,axiom,
% 0.92/1.30 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.92/1.30 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) = V_a ) ).
% 0.92/1.30
% 0.92/1.30 cnf(cls_double__compl_0,axiom,
% 0.92/1.30 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 0.92/1.30 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_x,T_a),T_a) = V_x ) ).
% 0.92/1.30
% 0.92/1.30 cnf(cls_equation__minus__iff_0,axiom,
% 0.92/1.30 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.92/1.30 | V_b = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ).
% 0.92/1.30
% 0.92/1.30 cnf(cls_equation__minus__iff_1,axiom,
% 0.92/1.30 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.92/1.30 | V_a = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 0.92/1.30
% 0.92/1.30 cnf(cls_minus__equation__iff_1,axiom,
% 0.92/1.30 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.92/1.30 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) = V_b ) ).
% 0.92/1.30
% 0.92/1.30 cnf(cls_power__le__zero__eq__number__of_5,axiom,
% 0.92/1.30 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.92/1.30 | ~ c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(V_w,tc_nat),tc_nat)
% 0.92/1.30 | c_Int_Onumber__class_Onumber__of(V_w,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.92/1.30 | c_lessequals(c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,tc_nat),T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.92/1.30
% 0.92/1.30 cnf(cls_diff__minus__eq__add_0,axiom,
% 0.92/1.30 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.92/1.30 | c_HOL_Ominus__class_Ominus(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) = c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) ) ).
% 0.92/1.30
% 0.92/1.30 cnf(cls_even__Suc_1,axiom,
% 0.92/1.30 ( c_Parity_Oeven__odd__class_Oeven(c_Suc(V_x),tc_nat)
% 0.92/1.30 | c_Parity_Oeven__odd__class_Oeven(V_x,tc_nat) ) ).
% 0.92/1.30
% 0.92/1.30 cnf(cls_even__Suc_0,axiom,
% 0.92/1.30 ( ~ c_Parity_Oeven__odd__class_Oeven(V_x,tc_nat)
% 0.92/1.30 | ~ c_Parity_Oeven__odd__class_Oeven(c_Suc(V_x),tc_nat) ) ).
% 0.92/1.30
% 0.92/1.30 cnf(cls_power__eq__imp__eq__base_0,axiom,
% 0.92/1.30 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.92/1.30 | c_Power_Opower__class_Opower(V_a,V_n,T_a) != c_Power_Opower__class_Opower(V_b,V_n,T_a)
% 0.92/1.30 | V_a = V_b
% 0.92/1.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
% 0.92/1.30 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.92/1.30 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.92/1.30
% 0.92/1.30 cnf(cls_add__is__1_3,axiom,
% 0.92/1.30 ( c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 0.92/1.30 | V_n = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 0.92/1.30 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.92/1.30
% 0.92/1.30 cnf(cls_add__is__1_0,axiom,
% 0.92/1.30 ( c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 0.92/1.30 | V_m = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.92/1.30 | V_m = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ).
% 0.92/1.30
% 0.92/1.30 cnf(cls_power__le__zero__eq__number__of_2,axiom,
% 0.92/1.30 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.92/1.30 | c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(V_w,tc_nat),tc_nat)
% 0.92/1.30 | c_lessequals(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.30 | ~ c_lessequals(c_Power_Opower__class_Opower(V_x,c_Int_Onumber__class_Onumber__of(V_w,tc_nat),T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.92/1.30
% 0.92/1.30 cnf(cls_odd__pos_0,axiom,
% 0.92/1.30 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
% 0.92/1.30 | c_Parity_Oeven__odd__class_Oeven(V_n,tc_nat) ) ).
% 0.92/1.30
% 0.92/1.30 cnf(cls_Suc__lessI_0,axiom,
% 0.92/1.30 ( c_HOL_Oord__class_Oless(c_Suc(V_m),V_n,tc_nat)
% 0.92/1.30 | c_Suc(V_m) = V_n
% 0.92/1.30 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.92/1.30
% 0.92/1.30 cnf(cls_inverse__nonpositive__iff__nonpositive_0,axiom,
% 0.92/1.30 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.30 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.30 | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.92/1.30
% 0.92/1.30 cnf(cls_inverse__nonpositive__iff__nonpositive_1,axiom,
% 0.92/1.30 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.30 | c_lessequals(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.30 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.92/1.30
% 0.92/1.30 cnf(cls_power__le__zero__eq__number__of_4,axiom,
% 0.92/1.30 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.92/1.30 | c_lessequals(c_Power_Opower__class_Opower(V_x,c_Int_Onumber__class_Onumber__of(V_w,tc_nat),T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.30 | ~ c_lessequals(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.30 | c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(V_w,tc_nat),tc_nat)
% 0.92/1.30 | c_Int_Onumber__class_Onumber__of(V_w,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.92/1.30
% 0.92/1.30 cnf(cls_zero__less__Suc_0,axiom,
% 0.92/1.30 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(V_n),tc_nat) ).
% 0.92/1.30
% 0.92/1.30 cnf(cls_gr0__conv__Suc_1,axiom,
% 0.92/1.30 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(V_x),tc_nat) ).
% 0.92/1.30
% 0.92/1.30 cnf(cls_divide_Ominus_0,axiom,
% 0.92/1.30 ( ~ class_RealVector_Oreal__normed__field(T_a)
% 0.92/1.30 | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(V_x,T_a),V_y,T_a) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),T_a) ) ).
% 0.92/1.30
% 0.92/1.30 cnf(cls_minus__divide__divide_0,axiom,
% 0.92/1.30 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.92/1.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.30 | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) = c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a) ) ).
% 0.92/1.30
% 0.92/1.30 cnf(cls_eq__number__of_0,axiom,
% 0.92/1.30 ( ~ class_Int_Oring__char__0(T_a)
% 0.92/1.30 | ~ class_Int_Onumber__ring(T_a)
% 0.92/1.30 | c_Int_Onumber__class_Onumber__of(V_x,T_a) != c_Int_Onumber__class_Onumber__of(V_y,T_a)
% 0.92/1.30 | V_x = V_y ) ).
% 0.92/1.30
% 0.92/1.30 cnf(cls_nat__lt__two__imp__zero__or__one_0,axiom,
% 0.92/1.30 ( V_x = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 0.92/1.30 | V_x = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.92/1.30 | ~ c_HOL_Oord__class_Oless(V_x,c_Suc(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),tc_nat) ) ).
% 0.92/1.30
% 0.92/1.30 cnf(cls_power__le__zero__eq_5,axiom,
% 0.92/1.30 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.92/1.30 | ~ c_Parity_Oeven__odd__class_Oeven(V_n,tc_nat)
% 0.92/1.30 | V_n = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.92/1.30 | c_lessequals(c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(T_a),V_n,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.92/1.30
% 0.92/1.30 cnf(cls_eq__eqI_1,axiom,
% 0.92/1.30 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.92/1.30 | c_HOL_Ominus__class_Ominus(V_xa,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x,V_x,T_a)
% 0.92/1.30 | V_xa = V_y ) ).
% 0.92/1.30
% 0.92/1.30 cnf(cls_eq__eqI_0,axiom,
% 0.92/1.30 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.92/1.30 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 0.92/1.30 | V_x_H = V_y_H ) ).
% 0.92/1.30
% 0.92/1.30 cnf(cls_zero__le__divide__iff_0,axiom,
% 0.92/1.30 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.30 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.30 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.92/1.30 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) ) ).
% 0.92/1.30
% 0.92/1.30 cnf(cls_zero__le__divide__iff_1,axiom,
% 0.92/1.30 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.30 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.30 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.92/1.30 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) ) ).
% 0.92/1.30
% 0.92/1.30 cnf(cls_zero__le__divide__iff_2,axiom,
% 0.92/1.30 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.30 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.30 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.92/1.30 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) ) ).
% 0.92/1.30
% 0.92/1.30 cnf(cls_zero__le__divide__iff_3,axiom,
% 0.92/1.30 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.30 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.30 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.92/1.30 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) ) ).
% 0.92/1.30
% 0.92/1.30 cnf(cls_add__gr__0_0,axiom,
% 0.92/1.30 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
% 0.92/1.30 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat)
% 0.92/1.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat),tc_nat) ) ).
% 0.92/1.30
% 0.92/1.30 cnf(cls_not__exp__le__zero_0,axiom,
% 0.92/1.30 ~ c_lessequals(c_Transcendental_Oexp(V_x,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ).
% 0.92/1.30
% 0.92/1.30 cnf(cls_inverse__inverse__eq_0,axiom,
% 0.92/1.30 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 0.92/1.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.30 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) = V_a ) ).
% 0.92/1.30
% 0.92/1.30 cnf(cls_norm__inverse_0,axiom,
% 0.92/1.30 ( ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.30 | ~ class_RealVector_Oreal__normed__div__algebra(T_a)
% 0.92/1.30 | c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) = c_HOL_Oinverse__class_Oinverse(c_RealVector_Onorm__class_Onorm(V_a,T_a),tc_RealDef_Oreal) ) ).
% 0.92/1.30
% 0.92/1.30 cnf(cls_exp__ge__zero_0,axiom,
% 0.92/1.30 c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oexp(V_x,tc_RealDef_Oreal),tc_RealDef_Oreal) ).
% 0.92/1.30
% 0.92/1.30 cnf(cls_power__le__zero__eq__number__of_0,axiom,
% 0.92/1.30 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.92/1.30 | c_Int_Onumber__class_Onumber__of(V_w,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 0.92/1.30 | ~ c_lessequals(c_Power_Opower__class_Opower(V_x,c_Int_Onumber__class_Onumber__of(V_w,tc_nat),T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.92/1.30
% 0.92/1.30 cnf(cls_less__Suc0_0,axiom,
% 0.92/1.30 ( V_n = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.92/1.30 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ) ).
% 0.92/1.30
% 0.92/1.30 cnf(cls_nonzero__minus__divide__right_0,axiom,
% 0.92/1.30 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.92/1.30 | c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) = c_HOL_Oinverse__class_Odivide(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a)
% 0.92/1.30 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.92/1.30
% 0.92/1.30 cnf(cls_add__is__1_4,axiom,
% 0.92/1.30 c_HOL_Oplus__class_Oplus(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ).
% 0.92/1.30
% 0.92/1.30 cnf(cls_exp__diff_0,axiom,
% 0.92/1.30 ( ~ class_SEQ_Obanach(T_a)
% 0.92/1.30 | ~ class_RealVector_Oreal__normed__field(T_a)
% 0.92/1.30 | c_Transcendental_Oexp(c_HOL_Ominus__class_Ominus(V_x,V_y,T_a),T_a) = c_HOL_Oinverse__class_Odivide(c_Transcendental_Oexp(V_x,T_a),c_Transcendental_Oexp(V_y,T_a),T_a) ) ).
% 0.92/1.30
% 0.92/1.30 cnf(cls_class__fieldgb_Oinverse__divide_0,axiom,
% 0.92/1.30 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.92/1.30 | ~ class_Int_Onumber__ring(T_a)
% 0.92/1.30 | c_HOL_Oinverse__class_Oinverse(V_x,T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),V_x,T_a) ) ).
% 0.92/1.30
% 0.92/1.30 cnf(cls_inverse__eq__divide_0,axiom,
% 0.92/1.30 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.92/1.30 | c_HOL_Oinverse__class_Oinverse(V_a,T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),V_a,T_a) ) ).
% 0.92/1.30
% 0.92/1.30 cnf(cls_le__imp__neg__le_0,axiom,
% 0.92/1.30 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.92/1.30 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
% 0.92/1.30 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.92/1.30
% 0.92/1.30 cnf(cls_neg__le__iff__le_0,axiom,
% 0.92/1.30 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.92/1.30 | c_lessequals(V_a,V_b,T_a)
% 0.92/1.30 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 0.92/1.30
% 0.92/1.30 cnf(cls_Zero__neq__Suc_0,axiom,
% 0.92/1.30 c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(V_m) ).
% 0.92/1.30
% 0.92/1.30 cnf(cls_nat_Osimps_I2_J_0,axiom,
% 0.92/1.30 c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(V_nat_H) ).
% 0.92/1.30
% 0.92/1.30 cnf(cls_less__iff__Suc__add_1,axiom,
% 0.92/1.30 c_HOL_Oord__class_Oless(V_m,c_Suc(c_HOL_Oplus__class_Oplus(V_m,V_x,tc_nat)),tc_nat) ).
% 0.92/1.30
% 0.92/1.30 cnf(cls_less__add__Suc2_0,axiom,
% 0.92/1.30 c_HOL_Oord__class_Oless(V_i,c_Suc(c_HOL_Oplus__class_Oplus(V_m,V_i,tc_nat)),tc_nat) ).
% 0.92/1.30
% 0.92/1.30 cnf(cls_less__add__Suc1_0,axiom,
% 0.92/1.30 c_HOL_Oord__class_Oless(V_i,c_Suc(c_HOL_Oplus__class_Oplus(V_i,V_m,tc_nat)),tc_nat) ).
% 0.92/1.30
% 0.92/1.30 cnf(cls_divide__le__0__iff_4,axiom,
% 0.92/1.30 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.30 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.30 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.30 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.92/1.30
% 0.92/1.30 cnf(cls_divide__le__0__iff_5,axiom,
% 0.92/1.30 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.30 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.30 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.92/1.30 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.92/1.30
% 0.92/1.30 cnf(cls_right__diff__distrib__number__of_0,axiom,
% 0.92/1.30 ( ~ class_Ring__and__Field_Oring(T_a)
% 0.92/1.30 | ~ class_Int_Onumber(T_a)
% 0.92/1.30 | c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_v,T_a),c_HOL_Ominus__class_Ominus(V_b,V_c,T_a),T_a) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_v,T_a),V_b,T_a),c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_v,T_a),V_c,T_a),T_a) ) ).
% 0.92/1.30
% 0.92/1.30 cnf(cls_zero__le__power__eq__number__of_0,axiom,
% 0.92/1.30 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.92/1.30 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a)
% 0.92/1.30 | c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(V_w,tc_nat),tc_nat)
% 0.92/1.30 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(V_x,c_Int_Onumber__class_Onumber__of(V_w,tc_nat),T_a),T_a) ) ).
% 0.92/1.30
% 0.92/1.30 cnf(cls_zero__le__power__eq__number__of_2,axiom,
% 0.92/1.30 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.92/1.30 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(V_x,c_Int_Onumber__class_Onumber__of(V_w,tc_nat),T_a),T_a)
% 0.92/1.30 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a)
% 0.92/1.30 | c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(V_w,tc_nat),tc_nat) ) ).
% 0.92/1.30
% 0.92/1.30 cnf(cls_eq__divide__eq__number__of1_2,axiom,
% 0.92/1.30 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.92/1.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.30 | ~ class_Int_Onumber(T_a)
% 0.92/1.30 | c_Int_Onumber__class_Onumber__of(V_w,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.92/1.30 | c_HOL_Ozero__class_Ozero(T_a) = c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) ) ).
% 0.92/1.30
% 0.92/1.30 cnf(cls_eq__divide__eq__number__of_2,axiom,
% 0.92/1.30 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.92/1.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.30 | ~ class_Int_Onumber(T_a)
% 0.92/1.30 | c_Int_Onumber__class_Onumber__of(V_w,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.92/1.30 | c_Int_Onumber__class_Onumber__of(V_w,T_a) = c_HOL_Oinverse__class_Odivide(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.92/1.30
% 0.92/1.30 cnf(cls_eq__divide__eq__number__of_1,axiom,
% 0.92/1.30 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.92/1.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.30 | ~ class_Int_Onumber(T_a)
% 0.92/1.30 | c_Int_Onumber__class_Onumber__of(V_w,T_a) != c_HOL_Oinverse__class_Odivide(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.30 | c_Int_Onumber__class_Onumber__of(V_w,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.92/1.30
% 0.92/1.30 cnf(cls_divide_Odiff_0,axiom,
% 0.92/1.30 ( ~ class_RealVector_Oreal__normed__field(T_a)
% 0.92/1.30 | c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(V_x,V_y,T_a),V_ya,T_a) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(V_x,V_ya,T_a),c_HOL_Oinverse__class_Odivide(V_y,V_ya,T_a),T_a) ) ).
% 0.92/1.30
% 0.92/1.30 cnf(cls_diff__divide__distrib_0,axiom,
% 0.92/1.30 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.92/1.30 | c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_c,T_a) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(V_a,V_c,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ).
% 0.92/1.30
% 0.92/1.30 cnf(cls_divide__eq__eq__number__of_2,axiom,
% 0.92/1.30 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.92/1.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.30 | ~ class_Int_Onumber(T_a)
% 0.92/1.30 | c_Int_Onumber__class_Onumber__of(V_w,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.92/1.30 | c_HOL_Oinverse__class_Odivide(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_Int_Onumber__class_Onumber__of(V_w,T_a) ) ).
% 0.92/1.30
% 0.92/1.30 cnf(cls_divide__eq__eq__number__of_1,axiom,
% 0.92/1.30 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.92/1.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.30 | ~ class_Int_Onumber(T_a)
% 0.92/1.30 | c_HOL_Oinverse__class_Odivide(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) != c_Int_Onumber__class_Onumber__of(V_w,T_a)
% 0.92/1.30 | c_Int_Onumber__class_Onumber__of(V_w,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.92/1.30
% 0.92/1.30 cnf(cls_exp__le__cancel__iff_0,axiom,
% 0.92/1.30 ( c_lessequals(V_x,V_y,tc_RealDef_Oreal)
% 0.92/1.30 | ~ c_lessequals(c_Transcendental_Oexp(V_x,tc_RealDef_Oreal),c_Transcendental_Oexp(V_y,tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 0.92/1.30
% 0.92/1.30 cnf(cls_exp__le__cancel__iff_1,axiom,
% 0.92/1.30 ( c_lessequals(c_Transcendental_Oexp(V_x,tc_RealDef_Oreal),c_Transcendental_Oexp(V_y,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 0.92/1.30 | ~ c_lessequals(V_x,V_y,tc_RealDef_Oreal) ) ).
% 0.92/1.30
% 0.92/1.30 cnf(cls_neg__equal__iff__equal_0,axiom,
% 0.92/1.30 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.92/1.30 | c_HOL_Ouminus__class_Ouminus(V_a,T_a) != c_HOL_Ouminus__class_Ouminus(V_b,T_a)
% 0.92/1.30 | V_a = V_b ) ).
% 0.92/1.30
% 0.92/1.30 cnf(cls_compl__eq__compl__iff_0,axiom,
% 0.92/1.30 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 0.92/1.30 | c_HOL_Ouminus__class_Ouminus(V_x,T_a) != c_HOL_Ouminus__class_Ouminus(V_y,T_a)
% 0.92/1.30 | V_x = V_y ) ).
% 0.92/1.30
% 0.92/1.30 cnf(cls_real__le__antisym_0,axiom,
% 0.92/1.30 ( V_z = V_w
% 0.92/1.30 | ~ c_lessequals(V_w,V_z,tc_RealDef_Oreal)
% 0.92/1.30 | ~ c_lessequals(V_z,V_w,tc_RealDef_Oreal) ) ).
% 0.92/1.30
% 0.92/1.30 cnf(cls_order__antisym_0,axiom,
% 0.92/1.30 ( ~ class_Orderings_Oorder(T_a)
% 0.92/1.30 | V_x = V_y
% 0.92/1.30 | ~ c_lessequals(V_y,V_x,T_a)
% 0.92/1.30 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.92/1.30
% 0.92/1.30 cnf(cls_order__eq__iff_2,axiom,
% 0.92/1.30 ( ~ class_Orderings_Oorder(T_a)
% 0.92/1.30 | V_x = V_y
% 0.92/1.30 | ~ c_lessequals(V_y,V_x,T_a)
% 0.92/1.30 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.92/1.30
% 0.92/1.30 cnf(cls_linorder__neqE__nat_0,axiom,
% 0.92/1.30 ( c_HOL_Oord__class_Oless(V_y,V_x,tc_nat)
% 0.92/1.30 | c_HOL_Oord__class_Oless(V_x,V_y,tc_nat)
% 0.92/1.30 | V_x = V_y ) ).
% 0.92/1.30
% 0.92/1.30 cnf(cls_nat__neq__iff_0,axiom,
% 0.92/1.30 ( c_HOL_Oord__class_Oless(V_n,V_m,tc_nat)
% 0.92/1.30 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.92/1.30 | V_m = V_n ) ).
% 0.92/1.30
% 0.92/1.30 cnf(cls_order__antisym__conv_0,axiom,
% 0.92/1.30 ( ~ class_Orderings_Oorder(T_a)
% 0.92/1.30 | V_x = V_y
% 0.92/1.30 | ~ c_lessequals(V_x,V_y,T_a)
% 0.92/1.30 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.92/1.30
% 0.92/1.30 cnf(cls_norm__triangle__ineq4_0,axiom,
% 0.92/1.30 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 0.92/1.30 | c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),T_a),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(V_a,T_a),c_RealVector_Onorm__class_Onorm(V_b,T_a),tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 0.92/1.30
% 0.92/1.30 cnf(cls_less__trans__Suc_0,axiom,
% 0.92/1.30 ( c_HOL_Oord__class_Oless(c_Suc(V_i),V_k,tc_nat)
% 0.92/1.30 | ~ c_HOL_Oord__class_Oless(V_j,V_k,tc_nat)
% 0.92/1.30 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 0.92/1.30
% 0.92/1.30 cnf(cls_less__Suc__eq_2,axiom,
% 0.92/1.30 c_HOL_Oord__class_Oless(V_x,c_Suc(V_x),tc_nat) ).
% 0.92/1.30
% 0.92/1.30 cnf(cls_linorder__antisym__conv2_0,axiom,
% 0.92/1.30 ( ~ class_Orderings_Olinorder(T_a)
% 0.92/1.30 | V_x = V_y
% 0.92/1.30 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.92/1.30 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.92/1.30
% 0.92/1.30 cnf(cls_linorder__antisym__conv1_0,axiom,
% 0.92/1.30 ( ~ class_Orderings_Olinorder(T_a)
% 0.92/1.30 | V_x = V_y
% 0.92/1.30 | ~ c_lessequals(V_x,V_y,T_a)
% 0.92/1.30 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.92/1.30
% 0.92/1.30 cnf(cls_order__neq__le__trans_0,axiom,
% 0.92/1.30 ( ~ class_Orderings_Oorder(T_a)
% 0.92/1.30 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.92/1.30 | ~ c_lessequals(V_a,V_b,T_a)
% 0.92/1.30 | V_a = V_b ) ).
% 0.92/1.30
% 0.92/1.30 cnf(cls_order__le__neq__trans_0,axiom,
% 0.92/1.30 ( ~ class_Orderings_Oorder(T_a)
% 0.92/1.30 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.92/1.30 | V_a = V_b
% 0.92/1.30 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.92/1.30
% 0.92/1.30 cnf(cls_order__le__less_0,axiom,
% 0.92/1.30 ( ~ class_Orderings_Oorder(T_a)
% 0.92/1.30 | V_x = V_y
% 0.92/1.30 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.92/1.30 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.92/1.30
% 0.92/1.30 cnf(cls_order__less__le_2,axiom,
% 0.92/1.31 ( ~ class_Orderings_Oorder(T_a)
% 0.92/1.31 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.92/1.31 | V_x = V_y
% 0.92/1.31 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_less__eqI_0,axiom,
% 0.92/1.31 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.92/1.31 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 0.92/1.31 | c_HOL_Oord__class_Oless(V_x_H,V_y_H,T_a)
% 0.92/1.31 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_less__eqI_1,axiom,
% 0.92/1.31 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.92/1.31 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 0.92/1.31 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.92/1.31 | ~ c_HOL_Oord__class_Oless(V_x_H,V_y_H,T_a) ) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_neg__less__iff__less_1,axiom,
% 0.92/1.31 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.92/1.31 | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
% 0.92/1.31 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_neg__less__iff__less_0,axiom,
% 0.92/1.31 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.92/1.31 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.92/1.31 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_less__le__not__le_1,axiom,
% 0.92/1.31 ( ~ class_Orderings_Opreorder(T_a)
% 0.92/1.31 | ~ c_lessequals(V_y,V_x,T_a)
% 0.92/1.31 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_not__leE_0,axiom,
% 0.92/1.31 ( ~ class_Orderings_Olinorder(T_a)
% 0.92/1.31 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.92/1.31 | c_lessequals(V_y,V_x,T_a) ) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_linorder__antisym__conv2_1,axiom,
% 0.92/1.31 ( ~ class_Orderings_Olinorder(T_a)
% 0.92/1.31 | ~ c_lessequals(V_x,V_x,T_a)
% 0.92/1.31 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_linorder__antisym__conv1_1,axiom,
% 0.92/1.31 ( ~ class_Orderings_Olinorder(T_a)
% 0.92/1.31 | c_HOL_Oord__class_Oless(V_x,V_x,T_a)
% 0.92/1.31 | c_lessequals(V_x,V_x,T_a) ) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_linorder__not__less_1,axiom,
% 0.92/1.31 ( ~ class_Orderings_Olinorder(T_a)
% 0.92/1.31 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.92/1.31 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_linorder__not__less_0,axiom,
% 0.92/1.31 ( ~ class_Orderings_Olinorder(T_a)
% 0.92/1.31 | c_lessequals(V_y,V_x,T_a)
% 0.92/1.31 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_linorder__not__le_0,axiom,
% 0.92/1.31 ( ~ class_Orderings_Olinorder(T_a)
% 0.92/1.31 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.92/1.31 | c_lessequals(V_x,V_y,T_a) ) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_linorder__not__le_1,axiom,
% 0.92/1.31 ( ~ class_Orderings_Olinorder(T_a)
% 0.92/1.31 | ~ c_lessequals(V_x,V_y,T_a)
% 0.92/1.31 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_minus__less__iff_1,axiom,
% 0.92/1.31 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.92/1.31 | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a)
% 0.92/1.31 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a) ) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_minus__less__iff_0,axiom,
% 0.92/1.31 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.92/1.31 | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a)
% 0.92/1.31 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) ) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_less__minus__iff_1,axiom,
% 0.92/1.31 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.92/1.31 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a)
% 0.92/1.31 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_less__minus__iff_0,axiom,
% 0.92/1.31 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.92/1.31 | c_HOL_Oord__class_Oless(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
% 0.92/1.31 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_divide__le__eq__number__of_5,axiom,
% 0.92/1.31 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.31 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.31 | ~ class_Int_Onumber(T_a)
% 0.92/1.31 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 0.92/1.31 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 0.92/1.31 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),V_b,T_a)
% 0.92/1.31 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_divide__le__eq__number__of_7,axiom,
% 0.92/1.31 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.31 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.31 | ~ class_Int_Onumber(T_a)
% 0.92/1.31 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 0.92/1.31 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 0.92/1.31 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.31 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),T_a) ) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_le__divide__eq__number__of1_5,axiom,
% 0.92/1.31 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.31 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.31 | ~ class_Int_Onumber(T_a)
% 0.92/1.31 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a)
% 0.92/1.31 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.31 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a)
% 0.92/1.31 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) ) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_divide__le__eq__number__of1_5,axiom,
% 0.92/1.31 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.31 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.31 | ~ class_Int_Onumber(T_a)
% 0.92/1.31 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_a,T_a)
% 0.92/1.31 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.92/1.31 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_b,T_a)
% 0.92/1.31 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) ) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_le__divide__eq__number__of_1,axiom,
% 0.92/1.31 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.31 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.31 | ~ class_Int_Onumber(T_a)
% 0.92/1.31 | c_lessequals(V_b,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),T_a)
% 0.92/1.31 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.31 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.92/1.31 | ~ c_lessequals(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_le__divide__eq__number__of_4,axiom,
% 0.92/1.31 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.31 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.31 | ~ class_Int_Onumber(T_a)
% 0.92/1.31 | c_lessequals(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 0.92/1.31 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.31 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),T_a)
% 0.92/1.31 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_le__divide__eq__number__of1_4,axiom,
% 0.92/1.31 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.31 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.31 | ~ class_Int_Onumber(T_a)
% 0.92/1.31 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a)
% 0.92/1.31 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.31 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a)
% 0.92/1.31 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) ) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_le__divide__eq__number__of1_1,axiom,
% 0.92/1.31 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.31 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.31 | ~ class_Int_Onumber(T_a)
% 0.92/1.31 | c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a)
% 0.92/1.31 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.31 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 0.92/1.31 | ~ c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a) ) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_divide__le__eq__number__of1_4,axiom,
% 0.92/1.31 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.31 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.31 | ~ class_Int_Onumber(T_a)
% 0.92/1.31 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_a,T_a)
% 0.92/1.31 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.31 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_b,T_a)
% 0.92/1.31 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) ) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_divide__le__eq__number__of1_1,axiom,
% 0.92/1.31 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.31 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.31 | ~ class_Int_Onumber(T_a)
% 0.92/1.31 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_b,T_a)
% 0.92/1.31 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.31 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 0.92/1.31 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_a,T_a) ) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_divide__le__eq__number__of_8,axiom,
% 0.92/1.31 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.31 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.31 | ~ class_Int_Onumber(T_a)
% 0.92/1.31 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 0.92/1.31 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.31 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),V_b,T_a)
% 0.92/1.31 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),T_a) ) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_le__divide__eq__number__of1_8,axiom,
% 0.92/1.31 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.31 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.31 | ~ class_Int_Onumber(T_a)
% 0.92/1.31 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a)
% 0.92/1.31 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.31 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a)
% 0.92/1.31 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_b,T_a) ) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_divide__le__eq__number__of1_8,axiom,
% 0.92/1.31 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.31 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.31 | ~ class_Int_Onumber(T_a)
% 0.92/1.31 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_a,T_a)
% 0.92/1.31 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.31 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_b,T_a)
% 0.92/1.31 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a) ) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_divide__le__eq__number__of_0,axiom,
% 0.92/1.31 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.31 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.31 | ~ class_Int_Onumber(T_a)
% 0.92/1.31 | c_lessequals(V_b,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),T_a)
% 0.92/1.31 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.92/1.31 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) ) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_divide__le__eq__number__of_6,axiom,
% 0.92/1.31 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.31 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.31 | ~ class_Int_Onumber(T_a)
% 0.92/1.31 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 0.92/1.31 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.92/1.31 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),T_a) ) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_le__divide__eq__number__of1_7,axiom,
% 0.92/1.31 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.31 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.31 | ~ class_Int_Onumber(T_a)
% 0.92/1.31 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a)
% 0.92/1.31 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.31 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.31 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_b,T_a) ) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_divide__le__eq__number__of1_7,axiom,
% 0.92/1.31 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.31 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.31 | ~ class_Int_Onumber(T_a)
% 0.92/1.31 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_a,T_a)
% 0.92/1.31 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.92/1.31 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.31 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a) ) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_le__divide__eq__number__of_5,axiom,
% 0.92/1.31 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.31 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.31 | ~ class_Int_Onumber(T_a)
% 0.92/1.31 | c_lessequals(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 0.92/1.31 | ~ c_lessequals(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.31 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),T_a)
% 0.92/1.31 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_le__divide__eq__number__of_7,axiom,
% 0.92/1.31 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.31 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.31 | ~ class_Int_Onumber(T_a)
% 0.92/1.31 | c_lessequals(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 0.92/1.31 | ~ c_lessequals(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.31 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.31 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),V_b,T_a) ) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_le__divide__eq__number__of_0,axiom,
% 0.92/1.31 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.31 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.31 | ~ class_Int_Onumber(T_a)
% 0.92/1.31 | c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),V_b,T_a)
% 0.92/1.31 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.92/1.31 | ~ c_lessequals(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_le__divide__eq__number__of_6,axiom,
% 0.92/1.31 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.31 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.31 | ~ class_Int_Onumber(T_a)
% 0.92/1.31 | c_lessequals(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 0.92/1.31 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.92/1.31 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),V_b,T_a) ) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_le__divide__eq__number__of_8,axiom,
% 0.92/1.31 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.31 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.31 | ~ class_Int_Onumber(T_a)
% 0.92/1.31 | c_lessequals(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 0.92/1.31 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.31 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),T_a)
% 0.92/1.31 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),V_b,T_a) ) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_divide__le__eq__number__of_1,axiom,
% 0.92/1.31 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.31 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.31 | ~ class_Int_Onumber(T_a)
% 0.92/1.31 | c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),V_b,T_a)
% 0.92/1.31 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.31 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.92/1.31 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) ) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_divide__le__eq__number__of_4,axiom,
% 0.92/1.31 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.31 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.31 | ~ class_Int_Onumber(T_a)
% 0.92/1.31 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 0.92/1.31 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.31 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),V_b,T_a)
% 0.92/1.31 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_le__divide__eq__number__of1_6,axiom,
% 0.92/1.31 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.31 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.31 | ~ class_Int_Onumber(T_a)
% 0.92/1.31 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a)
% 0.92/1.31 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 0.92/1.31 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_b,T_a) ) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_le__divide__eq__number__of1_0,axiom,
% 0.92/1.31 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.31 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.31 | ~ class_Int_Onumber(T_a)
% 0.92/1.31 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_b,T_a)
% 0.92/1.31 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 0.92/1.31 | ~ c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a) ) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_divide__le__eq__number__of1_6,axiom,
% 0.92/1.31 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.31 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.31 | ~ class_Int_Onumber(T_a)
% 0.92/1.31 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_a,T_a)
% 0.92/1.31 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 0.92/1.31 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a) ) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_divide__le__eq__number__of1_0,axiom,
% 0.92/1.31 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.31 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.31 | ~ class_Int_Onumber(T_a)
% 0.92/1.31 | c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a)
% 0.92/1.31 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 0.92/1.31 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_a,T_a) ) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_division__ring__inverse__diff_0,axiom,
% 0.92/1.31 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 0.92/1.31 | c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Ominus__class_Ominus(V_b,V_a,T_a),T_a),c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a)
% 0.92/1.31 | V_b = c_HOL_Ozero__class_Ozero(T_a)
% 0.92/1.31 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_divide__eq__eq__number__of_0,axiom,
% 0.92/1.31 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.92/1.31 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.31 | ~ class_Int_Onumber(T_a)
% 0.92/1.31 | c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a) != c_Int_Onumber__class_Onumber__of(V_w,T_a)
% 0.92/1.31 | V_b = c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a)
% 0.92/1.31 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_divide__eq__eq__number__of1_4,axiom,
% 0.92/1.31 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.92/1.31 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.31 | ~ class_Int_Onumber(T_a)
% 0.92/1.31 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_divide__eq__eq__number__of_3,axiom,
% 0.92/1.31 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.92/1.31 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.31 | ~ class_Int_Onumber(T_a)
% 0.92/1.31 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),V_c,T_a) = c_Int_Onumber__class_Onumber__of(V_w,T_a)
% 0.92/1.31 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_eq__divide__eq__number__of1_0,axiom,
% 0.92/1.31 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.92/1.31 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.31 | ~ class_Int_Onumber(T_a)
% 0.92/1.31 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) = V_b
% 0.92/1.31 | c_Int_Onumber__class_Onumber__of(V_w,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_divide__eq__eq__number__of1_0,axiom,
% 0.92/1.31 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.92/1.31 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.31 | ~ class_Int_Onumber(T_a)
% 0.92/1.31 | V_b = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 0.92/1.31 | c_Int_Onumber__class_Onumber__of(V_w,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_eq__divide__eq__number__of_3,axiom,
% 0.92/1.31 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.92/1.31 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.31 | ~ class_Int_Onumber(T_a)
% 0.92/1.31 | c_Int_Onumber__class_Onumber__of(V_w,T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),V_c,T_a)
% 0.92/1.31 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_divide__eq__eq__number__of_4,axiom,
% 0.92/1.31 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.92/1.31 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.31 | ~ class_Int_Onumber(T_a)
% 0.92/1.31 | c_Int_Onumber__class_Onumber__of(V_w,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.92/1.31 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),V_c,T_a) = c_Int_Onumber__class_Onumber__of(V_w,T_a) ) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_eq__divide__eq__number__of_4,axiom,
% 0.92/1.31 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.92/1.31 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.31 | ~ class_Int_Onumber(T_a)
% 0.92/1.31 | c_Int_Onumber__class_Onumber__of(V_w,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.92/1.31 | c_Int_Onumber__class_Onumber__of(V_w,T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),V_c,T_a) ) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_diff__frac__eq_0,axiom,
% 0.92/1.31 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.92/1.31 | c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),c_HOL_Oinverse__class_Odivide(V_w,V_z,T_a),T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(V_x,V_z,T_a),c_HOL_Otimes__class_Otimes(V_w,V_y,T_a),T_a),c_HOL_Otimes__class_Otimes(V_y,V_z,T_a),T_a)
% 0.92/1.31 | V_z = c_HOL_Ozero__class_Ozero(T_a)
% 0.92/1.31 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_eq__divide__eq__number__of_0,axiom,
% 0.92/1.31 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.92/1.31 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.31 | ~ class_Int_Onumber(T_a)
% 0.92/1.31 | c_Int_Onumber__class_Onumber__of(V_w,T_a) != c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a)
% 0.92/1.31 | c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a) = V_b
% 0.92/1.31 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_eq__divide__eq__number__of1_3,axiom,
% 0.92/1.31 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.92/1.31 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.31 | ~ class_Int_Onumber(T_a)
% 0.92/1.31 | V_a = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 0.92/1.31 | c_Int_Onumber__class_Onumber__of(V_w,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_divide__eq__eq__number__of1_3,axiom,
% 0.92/1.31 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.92/1.31 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.31 | ~ class_Int_Onumber(T_a)
% 0.92/1.31 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) = V_a
% 0.92/1.31 | c_Int_Onumber__class_Onumber__of(V_w,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_eq__divide__eq__number__of1_4,axiom,
% 0.92/1.31 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.92/1.31 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.31 | ~ class_Int_Onumber(T_a)
% 0.92/1.31 | c_HOL_Ozero__class_Ozero(T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) ) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_le__divide__eq_9,axiom,
% 0.92/1.31 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.31 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.31 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 0.92/1.31 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.31 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a)
% 0.92/1.31 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) ) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_divide__le__eq_9,axiom,
% 0.92/1.31 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.31 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.31 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a)
% 0.92/1.31 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.92/1.31 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a)
% 0.92/1.31 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) ) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_le__eq__neg_1,axiom,
% 0.92/1.31 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.92/1.31 | c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a)
% 0.92/1.31 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_le__eq__neg_0,axiom,
% 0.92/1.31 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.92/1.31 | c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.31 | ~ c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_sgn__times_0,axiom,
% 0.92/1.31 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.92/1.31 | c_HOL_Osgn__class_Osgn(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(V_a,T_a),c_HOL_Osgn__class_Osgn(V_b,T_a),T_a) ) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_sgn__mult_0,axiom,
% 0.92/1.31 ( ~ class_RealVector_Oreal__normed__div__algebra(T_a)
% 0.92/1.31 | c_HOL_Osgn__class_Osgn(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(V_x,T_a),c_HOL_Osgn__class_Osgn(V_y,T_a),T_a) ) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_minus__mult__commute_0,axiom,
% 0.92/1.31 ( ~ class_Ring__and__Field_Oring(T_a)
% 0.92/1.31 | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) = c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_inverse__mult__distrib_0,axiom,
% 0.92/1.31 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.92/1.31 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.31 | c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a) ) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_minus__mult__minus_0,axiom,
% 0.92/1.31 ( ~ class_Ring__and__Field_Oring(T_a)
% 0.92/1.31 | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) = c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) ) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_square__eq__iff_1,axiom,
% 0.92/1.31 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.92/1.31 | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) = c_HOL_Otimes__class_Otimes(V_b,V_b,T_a) ) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_mult__right_Ominus_0,axiom,
% 0.92/1.31 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 0.92/1.31 | c_HOL_Otimes__class_Otimes(V_xa,c_HOL_Ouminus__class_Ouminus(V_x,T_a),T_a) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(V_xa,V_x,T_a),T_a) ) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_mult_Ominus__right_0,axiom,
% 0.92/1.31 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 0.92/1.31 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_mult__left_Ominus_0,axiom,
% 0.92/1.31 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 0.92/1.31 | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(V_x,T_a),V_y,T_a) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),T_a) ) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_mult_Ominus__left_0,axiom,
% 0.92/1.31 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 0.92/1.31 | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_minus__mult__right_0,axiom,
% 0.92/1.31 ( ~ class_Ring__and__Field_Oring(T_a)
% 0.92/1.31 | c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) = c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_minus__mult__left_0,axiom,
% 0.92/1.31 ( ~ class_Ring__and__Field_Oring(T_a)
% 0.92/1.31 | c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) ) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_mult__frac__frac_0,axiom,
% 0.92/1.31 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.92/1.31 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.31 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),c_HOL_Oinverse__class_Odivide(V_z,V_w,T_a),T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_x,V_z,T_a),c_HOL_Otimes__class_Otimes(V_y,V_w,T_a),T_a) ) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_square__eq__iff_0,axiom,
% 0.92/1.31 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.92/1.31 | c_HOL_Otimes__class_Otimes(V_a,V_a,T_a) != c_HOL_Otimes__class_Otimes(V_b,V_b,T_a)
% 0.92/1.31 | V_a = c_HOL_Ouminus__class_Ouminus(V_b,T_a)
% 0.92/1.31 | V_a = V_b ) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_mult__right_Odiff_0,axiom,
% 0.92/1.31 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 0.92/1.31 | c_HOL_Otimes__class_Otimes(V_xa,c_HOL_Ominus__class_Ominus(V_x,V_y,T_a),T_a) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(V_xa,V_x,T_a),c_HOL_Otimes__class_Otimes(V_xa,V_y,T_a),T_a) ) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_mult_Odiff__right_0,axiom,
% 0.92/1.31 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 0.92/1.31 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ominus__class_Ominus(V_b,V_b_H,T_a),T_a) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Otimes__class_Otimes(V_a,V_b_H,T_a),T_a) ) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_mult_Odiff__left_0,axiom,
% 0.92/1.31 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 0.92/1.31 | c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_a,V_a_H,T_a),V_b,T_a) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Otimes__class_Otimes(V_a_H,V_b,T_a),T_a) ) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_mult__left_Odiff_0,axiom,
% 0.92/1.31 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 0.92/1.31 | c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_x,V_y,T_a),V_ya,T_a) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(V_x,V_ya,T_a),c_HOL_Otimes__class_Otimes(V_y,V_ya,T_a),T_a) ) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_mult__frac__num_0,axiom,
% 0.92/1.31 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.92/1.31 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.31 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),V_z,T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_x,V_z,T_a),V_y,T_a) ) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_nonzero__inverse__eq__divide_0,axiom,
% 0.92/1.31 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.92/1.31 | c_HOL_Oinverse__class_Oinverse(V_a,T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),V_a,T_a)
% 0.92/1.31 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_divide__le__0__1__iff_1,axiom,
% 0.92/1.31 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.31 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.31 | c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.31 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_divide__le__0__1__iff_0,axiom,
% 0.92/1.31 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.31 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.31 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.31 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_inverse__le__1__iff_1,axiom,
% 0.92/1.31 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.31 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.31 | c_lessequals(c_HOL_Oinverse__class_Oinverse(V_x,T_a),c_HOL_Oone__class_Oone(T_a),T_a)
% 0.92/1.31 | ~ c_lessequals(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_zero__le__divide__1__iff_1,axiom,
% 0.92/1.31 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.31 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.31 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),V_b,T_a),T_a)
% 0.92/1.31 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) ) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_zero__le__divide__1__iff_0,axiom,
% 0.92/1.31 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.31 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.31 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.92/1.31 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),V_b,T_a),T_a) ) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_inverse__le__1__iff_0,axiom,
% 0.92/1.31 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.31 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.31 | c_lessequals(c_HOL_Oone__class_Oone(T_a),V_x,T_a)
% 0.92/1.31 | c_lessequals(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.31 | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(V_x,T_a),c_HOL_Oone__class_Oone(T_a),T_a) ) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_DERIV__mult__lemma_0,axiom,
% 0.92/1.31 ( ~ class_RealVector_Oreal__field(T_a)
% 0.92/1.31 | c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Otimes__class_Otimes(V_c,V_d,T_a),T_a),V_h,T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(V_b,V_d,T_a),V_h,T_a),T_a),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(V_a,V_c,T_a),V_h,T_a),V_d,T_a),T_a) ) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_le__add__iff2_1,axiom,
% 0.92/1.31 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 0.92/1.31 | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a),T_a)
% 0.92/1.31 | ~ c_lessequals(V_c,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_b,V_a,T_a),V_e,T_a),V_d,T_a),T_a) ) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_le__add__iff2_0,axiom,
% 0.92/1.31 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 0.92/1.31 | c_lessequals(V_c,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_b,V_a,T_a),V_e,T_a),V_d,T_a),T_a)
% 0.92/1.31 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a),T_a) ) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_le__add__iff1_1,axiom,
% 0.92/1.31 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 0.92/1.31 | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a),T_a)
% 0.92/1.31 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_e,T_a),V_c,T_a),V_d,T_a) ) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_le__add__iff1_0,axiom,
% 0.92/1.31 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 0.92/1.31 | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_e,T_a),V_c,T_a),V_d,T_a)
% 0.92/1.31 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a),T_a) ) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_zero__less__power__eq__number__of_1,axiom,
% 0.92/1.31 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.92/1.31 | c_Int_Onumber__class_Onumber__of(V_w,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.92/1.31 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,tc_nat),T_a),T_a)
% 0.92/1.31 | ~ c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(V_w,tc_nat),tc_nat) ) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_lessI_0,axiom,
% 0.92/1.31 c_HOL_Oord__class_Oless(V_n,c_Suc(V_n),tc_nat) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_real__add__left__mono_0,axiom,
% 0.92/1.31 ( c_lessequals(c_HOL_Oplus__class_Oplus(V_z,V_x,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(V_z,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 0.92/1.31 | ~ c_lessequals(V_x,V_y,tc_RealDef_Oreal) ) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_sgn__minus_0,axiom,
% 0.92/1.31 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 0.92/1.31 | c_HOL_Osgn__class_Osgn(c_HOL_Ouminus__class_Ouminus(V_x,T_a),T_a) = c_HOL_Ouminus__class_Ouminus(c_HOL_Osgn__class_Osgn(V_x,T_a),T_a) ) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_divide__le__eq__number__of_9,axiom,
% 0.92/1.31 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.31 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.31 | ~ class_Int_Onumber(T_a)
% 0.92/1.31 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 0.92/1.31 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 0.92/1.31 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),V_b,T_a)
% 0.92/1.31 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),T_a) ) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_divide__le__eq__number__of_3,axiom,
% 0.92/1.31 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.31 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.31 | ~ class_Int_Onumber(T_a)
% 0.92/1.31 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 0.92/1.31 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 0.92/1.31 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.31 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_divide__le__eq__number__of_2,axiom,
% 0.92/1.31 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.31 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.31 | ~ class_Int_Onumber(T_a)
% 0.92/1.31 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 0.92/1.31 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.31 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.92/1.31 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) ) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_neg__le__0__iff__le_0,axiom,
% 0.92/1.31 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.92/1.31 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.92/1.31 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_neg__le__0__iff__le_1,axiom,
% 0.92/1.31 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.92/1.31 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.31 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_divide__le__eq__number__of1_2,axiom,
% 0.92/1.31 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.31 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.31 | ~ class_Int_Onumber(T_a)
% 0.92/1.31 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.92/1.31 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.31 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 0.92/1.31 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_a,T_a) ) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_divide__le__eq__number__of1_3,axiom,
% 0.92/1.31 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.31 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.31 | ~ class_Int_Onumber(T_a)
% 0.92/1.31 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_a,T_a)
% 0.92/1.31 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.92/1.31 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.31 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) ) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_le__divide__eq__number__of1_2,axiom,
% 0.92/1.31 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.31 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.31 | ~ class_Int_Onumber(T_a)
% 0.92/1.31 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.31 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.31 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 0.92/1.31 | ~ c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a) ) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_le__divide__eq__number__of1_3,axiom,
% 0.92/1.31 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.31 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.31 | ~ class_Int_Onumber(T_a)
% 0.92/1.31 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a)
% 0.92/1.31 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.31 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.31 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) ) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_exp__inj__iff_0,axiom,
% 0.92/1.31 ( c_Transcendental_Oexp(V_x,tc_RealDef_Oreal) != c_Transcendental_Oexp(V_y,tc_RealDef_Oreal)
% 0.92/1.31 | V_x = V_y ) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_DERIV__inverse__lemma_0,axiom,
% 0.92/1.31 ( ~ class_RealVector_Oreal__normed__field(T_a)
% 0.92/1.31 | c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a),V_h,T_a) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_h,T_a),T_a),c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a),T_a)
% 0.92/1.31 | V_b = c_HOL_Ozero__class_Ozero(T_a)
% 0.92/1.31 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_inverse__divide_0,axiom,
% 0.92/1.31 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.92/1.31 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.31 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) = c_HOL_Oinverse__class_Odivide(V_b,V_a,T_a) ) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_n__not__Suc__n_0,axiom,
% 0.92/1.31 V_n != c_Suc(V_n) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_Suc__n__not__n_0,axiom,
% 0.92/1.31 c_Suc(V_n) != V_n ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_power__le__zero__eq_4,axiom,
% 0.92/1.31 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.92/1.31 | c_lessequals(c_Power_Opower__class_Opower(V_x,V_n,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.31 | ~ c_lessequals(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.31 | c_Parity_Oeven__odd__class_Oeven(V_n,tc_nat)
% 0.92/1.31 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_power__mono__odd_0,axiom,
% 0.92/1.31 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.92/1.31 | c_lessequals(c_Power_Opower__class_Opower(V_x,V_n,T_a),c_Power_Opower__class_Opower(V_y,V_n,T_a),T_a)
% 0.92/1.31 | ~ c_lessequals(V_x,V_y,T_a)
% 0.92/1.31 | c_Parity_Oeven__odd__class_Oeven(V_n,tc_nat) ) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_less__SucI_0,axiom,
% 0.92/1.31 ( c_HOL_Oord__class_Oless(V_m,c_Suc(V_n),tc_nat)
% 0.92/1.31 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_Suc__lessD_0,axiom,
% 0.92/1.31 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.92/1.31 | ~ c_HOL_Oord__class_Oless(c_Suc(V_m),V_n,tc_nat) ) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_inverse__eq__iff__eq_0,axiom,
% 0.92/1.31 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 0.92/1.31 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.31 | c_HOL_Oinverse__class_Oinverse(V_a,T_a) != c_HOL_Oinverse__class_Oinverse(V_b,T_a)
% 0.92/1.31 | V_a = V_b ) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_le__eqI_1,axiom,
% 0.92/1.31 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.92/1.31 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 0.92/1.31 | c_lessequals(V_y,V_x,T_a)
% 0.92/1.31 | ~ c_lessequals(V_y_H,V_x_H,T_a) ) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_le__eqI_0,axiom,
% 0.92/1.31 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.92/1.31 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 0.92/1.31 | c_lessequals(V_y_H,V_x_H,T_a)
% 0.92/1.31 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_add__is__1_2,axiom,
% 0.92/1.31 ( c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 0.92/1.31 | V_m = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.92/1.31 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_add__is__1_1,axiom,
% 0.92/1.31 ( c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 0.92/1.31 | V_n = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 0.92/1.31 | V_m = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_divide__right__mono_0,axiom,
% 0.92/1.31 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.31 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.31 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_a,V_c,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 0.92/1.31 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.92/1.31 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_divide__right__mono__neg_0,axiom,
% 0.92/1.31 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.31 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.31 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),c_HOL_Oinverse__class_Odivide(V_a,V_c,T_a),T_a)
% 0.92/1.31 | ~ c_lessequals(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.31 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_inverse__minus__eq_0,axiom,
% 0.92/1.31 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 0.92/1.31 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.31 | c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) ) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_add__gr__0_2,axiom,
% 0.92/1.31 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat),tc_nat)
% 0.92/1.31 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_add__gr__0_1,axiom,
% 0.92/1.31 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat),tc_nat)
% 0.92/1.31 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat) ) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_minus__divide__right_0,axiom,
% 0.92/1.31 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.92/1.31 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.31 | c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) = c_HOL_Oinverse__class_Odivide(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_minus__divide__left_0,axiom,
% 0.92/1.31 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.92/1.31 | c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) ) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_sgn__sgn_0,axiom,
% 0.92/1.31 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.92/1.31 | c_HOL_Osgn__class_Osgn(c_HOL_Osgn__class_Osgn(V_a,T_a),T_a) = c_HOL_Osgn__class_Osgn(V_a,T_a) ) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_not__less__less__Suc__eq_1,axiom,
% 0.92/1.31 ( c_HOL_Oord__class_Oless(V_x,V_x,tc_nat)
% 0.92/1.31 | c_HOL_Oord__class_Oless(V_x,c_Suc(V_x),tc_nat) ) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_not__less__eq_1,axiom,
% 0.92/1.31 ( ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.92/1.31 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat) ) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_not__less__eq_0,axiom,
% 0.92/1.31 ( c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat)
% 0.92/1.31 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_group__add__class_Odiff__0_0,axiom,
% 0.92/1.31 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.92/1.31 | c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ouminus__class_Ouminus(V_a,T_a) ) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_Deriv_Oinverse__diff__inverse_0,axiom,
% 0.92/1.31 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 0.92/1.31 | c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),T_a),c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a),T_a)
% 0.92/1.31 | V_b = c_HOL_Ozero__class_Ozero(T_a)
% 0.92/1.31 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_diff__def_0,axiom,
% 0.92/1.31 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.92/1.31 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) = c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ouminus__class_Ouminus(V_y,T_a),T_a) ) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_class__ring_Osub__add_0,axiom,
% 0.92/1.31 ( ~ class_Int_Onumber__ring(T_a)
% 0.92/1.31 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) = c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ouminus__class_Ouminus(V_y,T_a),T_a) ) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_diff__minus_0,axiom,
% 0.92/1.31 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.92/1.31 | c_HOL_Ominus__class_Ominus(V_a,V_b,T_a) = c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_ab__diff__minus_0,axiom,
% 0.92/1.31 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.92/1.31 | c_HOL_Ominus__class_Ominus(V_a,V_b,T_a) = c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_nonzero__minus__divide__divide_0,axiom,
% 0.92/1.31 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.92/1.31 | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) = c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a)
% 0.92/1.31 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_ln__unique_0,axiom,
% 0.92/1.31 c_Transcendental_Oln(c_Transcendental_Oexp(V_y,tc_RealDef_Oreal)) = V_y ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_exp__ln__eq_0,axiom,
% 0.92/1.31 c_Transcendental_Oln(c_Transcendental_Oexp(V_u,tc_RealDef_Oreal)) = V_u ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_ln__exp_0,axiom,
% 0.92/1.31 c_Transcendental_Oln(c_Transcendental_Oexp(V_x,tc_RealDef_Oreal)) = V_x ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_one__is__add_3,axiom,
% 0.92/1.31 ( c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) != c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat)
% 0.92/1.31 | V_n = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 0.92/1.31 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_one__is__add_0,axiom,
% 0.92/1.31 ( c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) != c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat)
% 0.92/1.31 | V_m = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.92/1.31 | V_m = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_one__is__add_5,axiom,
% 0.92/1.31 c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_neg__0__le__iff__le_0,axiom,
% 0.92/1.31 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.92/1.31 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.31 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_neg__0__le__iff__le_1,axiom,
% 0.92/1.31 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.92/1.31 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
% 0.92/1.31 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_zero__le__power__eq__number__of_1,axiom,
% 0.92/1.31 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.92/1.31 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(V_x,c_Int_Onumber__class_Onumber__of(V_w,tc_nat),T_a),T_a)
% 0.92/1.31 | ~ c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(V_w,tc_nat),tc_nat) ) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_gr__implies__not0_0,axiom,
% 0.92/1.31 ~ c_HOL_Oord__class_Oless(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_not__less0_0,axiom,
% 0.92/1.31 ~ c_HOL_Oord__class_Oless(V_n,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_inverse__nonnegative__iff__nonnegative_0,axiom,
% 0.92/1.31 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.31 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.31 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.92/1.31 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) ) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_inverse__nonnegative__iff__nonnegative_1,axiom,
% 0.92/1.31 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.31 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.31 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a)
% 0.92/1.31 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_power__le__zero__eq__number__of_1,axiom,
% 0.92/1.31 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.92/1.31 | V_x = c_HOL_Ozero__class_Ozero(T_a)
% 0.92/1.31 | ~ c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(V_w,tc_nat),tc_nat)
% 0.92/1.31 | ~ c_lessequals(c_Power_Opower__class_Opower(V_x,c_Int_Onumber__class_Onumber__of(V_w,tc_nat),T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.92/1.31
% 0.92/1.31 cnf(cls_left__diff__distrib__number__of_0,axiom,
% 0.92/1.31 ( ~ class_Ring__and__Field_Oring(T_a)
% 0.92/1.31 | ~ class_Int_Onumber(T_a)
% 0.92/1.32 | c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_Int_Onumber__class_Onumber__of(V_v,T_a),T_a) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_v,T_a),T_a),c_HOL_Otimes__class_Otimes(V_b,c_Int_Onumber__class_Onumber__of(V_v,T_a),T_a),T_a) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_le__minus__self__iff_0,axiom,
% 0.92/1.32 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.92/1.32 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.32 | ~ c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_le__minus__self__iff_1,axiom,
% 0.92/1.32 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.92/1.32 | c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
% 0.92/1.32 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_minus__le__self__iff_0,axiom,
% 0.92/1.32 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.92/1.32 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.92/1.32 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_a,T_a) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_minus__le__self__iff_1,axiom,
% 0.92/1.32 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.92/1.32 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_a,T_a)
% 0.92/1.32 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_less__eq__neg__nonpos_0,axiom,
% 0.92/1.32 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a)
% 0.92/1.32 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.32 | ~ c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_less__eq__neg__nonpos_1,axiom,
% 0.92/1.32 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a)
% 0.92/1.32 | c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
% 0.92/1.32 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_neg__less__eq__nonneg_0,axiom,
% 0.92/1.32 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a)
% 0.92/1.32 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.92/1.32 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_a,T_a) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_neg__less__eq__nonneg_1,axiom,
% 0.92/1.32 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a)
% 0.92/1.32 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_a,T_a)
% 0.92/1.32 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_neg__power__if_0,axiom,
% 0.92/1.32 ( ~ class_Ring__and__Field_Ocomm__ring__1(T_a)
% 0.92/1.32 | c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(V_x,T_a),V_n,T_a) = c_Power_Opower__class_Opower(V_x,V_n,T_a)
% 0.92/1.32 | ~ c_Parity_Oeven__odd__class_Oeven(V_n,tc_nat) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_divide__le__0__iff_0,axiom,
% 0.92/1.32 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.32 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.32 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.32 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.92/1.32 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_divide__le__0__iff_1,axiom,
% 0.92/1.32 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.32 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.32 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.92/1.32 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.92/1.32 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_divide__le__0__iff_2,axiom,
% 0.92/1.32 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.32 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.32 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.32 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.32 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_divide__le__0__iff_3,axiom,
% 0.92/1.32 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.32 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.32 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.92/1.32 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.32 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_inverse__le__1__iff_2,axiom,
% 0.92/1.32 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.32 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.32 | c_lessequals(c_HOL_Oinverse__class_Oinverse(V_x,T_a),c_HOL_Oone__class_Oone(T_a),T_a)
% 0.92/1.32 | ~ c_lessequals(c_HOL_Oone__class_Oone(T_a),V_x,T_a) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_nat_Oinject_0,axiom,
% 0.92/1.32 ( c_Suc(V_nat) != c_Suc(V_nat_H)
% 0.92/1.32 | V_nat = V_nat_H ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_Suc__inject_0,axiom,
% 0.92/1.32 ( c_Suc(V_x) != c_Suc(V_y)
% 0.92/1.32 | V_x = V_y ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_One__nat__def_0,axiom,
% 0.92/1.32 c_HOL_Oone__class_Oone(tc_nat) = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_less__Suc0_1,axiom,
% 0.92/1.32 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_one__is__add_2,axiom,
% 0.92/1.32 ( c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) != c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat)
% 0.92/1.32 | V_m = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.92/1.32 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_one__is__add_1,axiom,
% 0.92/1.32 ( c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) != c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat)
% 0.92/1.32 | V_n = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 0.92/1.32 | V_m = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_even__zero__nat_0,axiom,
% 0.92/1.32 c_Parity_Oeven__odd__class_Oeven(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_nonzero__inverse__minus__eq_0,axiom,
% 0.92/1.32 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 0.92/1.32 | c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a)
% 0.92/1.32 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_not__less__less__Suc__eq_0,axiom,
% 0.92/1.32 ( V_n = V_m
% 0.92/1.32 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat)
% 0.92/1.32 | c_HOL_Oord__class_Oless(V_n,V_m,tc_nat) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_less__antisym_0,axiom,
% 0.92/1.32 ( V_m = V_n
% 0.92/1.32 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat)
% 0.92/1.32 | c_HOL_Oord__class_Oless(V_n,V_m,tc_nat) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_less__SucE_0,axiom,
% 0.92/1.32 ( V_m = V_n
% 0.92/1.32 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.92/1.32 | ~ c_HOL_Oord__class_Oless(V_m,c_Suc(V_n),tc_nat) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_one__le__inverse__iff_1,axiom,
% 0.92/1.32 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.32 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.32 | c_lessequals(V_x,c_HOL_Oone__class_Oone(T_a),T_a)
% 0.92/1.32 | ~ c_lessequals(c_HOL_Oone__class_Oone(T_a),c_HOL_Oinverse__class_Oinverse(V_x,T_a),T_a) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_one__is__add_4,axiom,
% 0.92/1.32 c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Oplus__class_Oplus(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_less__not__refl_0,axiom,
% 0.92/1.32 ~ c_HOL_Oord__class_Oless(V_n,V_n,tc_nat) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_nat__less__le_1,axiom,
% 0.92/1.32 ~ c_HOL_Oord__class_Oless(V_x,V_x,tc_nat) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_le__iff__diff__le__0_0,axiom,
% 0.92/1.32 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.92/1.32 | c_lessequals(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.32 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_le__iff__diff__le__0_1,axiom,
% 0.92/1.32 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.92/1.32 | c_lessequals(V_a,V_b,T_a)
% 0.92/1.32 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_ln__add__one__self__le__self_0,axiom,
% 0.92/1.32 ( c_lessequals(c_Transcendental_Oln(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal)),V_x,tc_RealDef_Oreal)
% 0.92/1.32 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_zero__le__divide__iff_4,axiom,
% 0.92/1.32 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.32 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.32 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a)
% 0.92/1.32 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.92/1.32 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_zero__le__divide__iff_5,axiom,
% 0.92/1.32 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.32 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.32 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a)
% 0.92/1.32 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.32 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_Suc__neq__Zero_0,axiom,
% 0.92/1.32 c_Suc(V_m) != c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_nat_Osimps_I3_J_0,axiom,
% 0.92/1.32 c_Suc(V_nat_H) != c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_norm__diff__triangle__ineq_0,axiom,
% 0.92/1.32 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 0.92/1.32 | c_lessequals(c_RealVector_Onorm__class_Onorm(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_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(V_a,V_c,T_a),T_a),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(V_b,V_d,T_a),T_a),tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_le__number__of__eq__not__less_0,axiom,
% 0.92/1.32 ( ~ class_Orderings_Olinorder(T_a)
% 0.92/1.32 | ~ class_Int_Onumber(T_a)
% 0.92/1.32 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_Int_Onumber__class_Onumber__of(V_v,T_a),T_a)
% 0.92/1.32 | ~ c_lessequals(c_Int_Onumber__class_Onumber__of(V_v,T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_le__number__of__eq__not__less_1,axiom,
% 0.92/1.32 ( ~ class_Orderings_Olinorder(T_a)
% 0.92/1.32 | ~ class_Int_Onumber(T_a)
% 0.92/1.32 | c_lessequals(c_Int_Onumber__class_Onumber__of(V_v,T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 0.92/1.32 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_Int_Onumber__class_Onumber__of(V_v,T_a),T_a) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_gr0I_0,axiom,
% 0.92/1.32 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
% 0.92/1.32 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_divide__eq__eq__number__of1_1,axiom,
% 0.92/1.32 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.92/1.32 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.32 | ~ class_Int_Onumber(T_a)
% 0.92/1.32 | c_Int_Onumber__class_Onumber__of(V_w,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.92/1.32 | c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_zero__less__power__eq__number__of_0,axiom,
% 0.92/1.32 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.92/1.32 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a)
% 0.92/1.32 | c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(V_w,tc_nat),tc_nat)
% 0.92/1.32 | c_Int_Onumber__class_Onumber__of(V_w,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.92/1.32 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(V_x,c_Int_Onumber__class_Onumber__of(V_w,tc_nat),T_a),T_a) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_power__strict__mono_0,axiom,
% 0.92/1.32 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.92/1.32 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(V_a,V_n,T_a),c_Power_Opower__class_Opower(V_b,V_n,T_a),T_a)
% 0.92/1.32 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
% 0.92/1.32 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.92/1.32 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_minus__add__distrib_0,axiom,
% 0.92/1.32 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.92/1.32 | c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_minus__add_0,axiom,
% 0.92/1.32 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.92/1.32 | c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_le__add__right__mono_0,axiom,
% 0.92/1.32 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.92/1.32 | c_lessequals(V_a,c_HOL_Oplus__class_Oplus(V_b,V_d,T_a),T_a)
% 0.92/1.32 | ~ c_lessequals(V_c,V_d,T_a)
% 0.92/1.32 | ~ c_lessequals(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_minus__add__cancel_0,axiom,
% 0.92/1.32 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.92/1.32 | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a) = V_b ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_add__cancel__end_1,axiom,
% 0.92/1.32 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.92/1.32 | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_z,T_a),c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a) = V_y ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_add__mono_0,axiom,
% 0.92/1.32 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a)
% 0.92/1.32 | c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_d,T_a),T_a)
% 0.92/1.32 | ~ c_lessequals(V_c,V_d,T_a)
% 0.92/1.32 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_add__minus__cancel_0,axiom,
% 0.92/1.32 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.92/1.32 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a),T_a) = V_b ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_add__le__cancel__right_1,axiom,
% 0.92/1.32 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.92/1.32 | c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a)
% 0.92/1.32 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_add__le__cancel__right_0,axiom,
% 0.92/1.32 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.92/1.32 | c_lessequals(V_a,V_b,T_a)
% 0.92/1.32 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_add__le__cancel__left_1,axiom,
% 0.92/1.32 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.92/1.32 | c_lessequals(c_HOL_Oplus__class_Oplus(V_c,V_a,T_a),c_HOL_Oplus__class_Oplus(V_c,V_b,T_a),T_a)
% 0.92/1.32 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_add__le__cancel__left_0,axiom,
% 0.92/1.32 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.92/1.32 | c_lessequals(V_a,V_b,T_a)
% 0.92/1.32 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(V_c,V_a,T_a),c_HOL_Oplus__class_Oplus(V_c,V_b,T_a),T_a) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_add__right__mono_0,axiom,
% 0.92/1.32 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a)
% 0.92/1.32 | c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a)
% 0.92/1.32 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_add__left__mono_0,axiom,
% 0.92/1.32 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a)
% 0.92/1.32 | c_lessequals(c_HOL_Oplus__class_Oplus(V_c,V_a,T_a),c_HOL_Oplus__class_Oplus(V_c,V_b,T_a),T_a)
% 0.92/1.32 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_diff__add__cancel_0,axiom,
% 0.92/1.32 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.92/1.32 | c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_b,T_a) = V_a ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_Deriv_Oadd__diff__add_0,axiom,
% 0.92/1.32 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.92/1.32 | c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_d,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ominus__class_Ominus(V_c,V_d,T_a),T_a) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_add__cancel__end_0,axiom,
% 0.92/1.32 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.92/1.32 | c_HOL_Oplus__class_Oplus(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a) != V_y
% 0.92/1.32 | V_x = c_HOL_Ouminus__class_Ouminus(V_z,T_a) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_add__diff__cancel_0,axiom,
% 0.92/1.32 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.92/1.32 | c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_b,T_a) = V_a ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_add__divide__distrib_0,axiom,
% 0.92/1.32 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.92/1.32 | c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(V_a,V_c,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_divide_Oadd_0,axiom,
% 0.92/1.32 ( ~ class_RealVector_Oreal__normed__field(T_a)
% 0.92/1.32 | c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(V_x,V_y,T_a),V_ya,T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(V_x,V_ya,T_a),c_HOL_Oinverse__class_Odivide(V_y,V_ya,T_a),T_a) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_zero__le__power__eq_0,axiom,
% 0.92/1.32 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.92/1.32 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a)
% 0.92/1.32 | c_Parity_Oeven__odd__class_Oeven(V_n,tc_nat)
% 0.92/1.32 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(V_x,V_n,T_a),T_a) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_zero__le__power__eq_2,axiom,
% 0.92/1.32 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.92/1.32 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(V_x,V_n,T_a),T_a)
% 0.92/1.32 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a)
% 0.92/1.32 | c_Parity_Oeven__odd__class_Oeven(V_n,tc_nat) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_zero__le__odd__power_0,axiom,
% 0.92/1.32 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.92/1.32 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a)
% 0.92/1.32 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(V_x,V_n,T_a),T_a)
% 0.92/1.32 | c_Parity_Oeven__odd__class_Oeven(V_n,tc_nat) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_zero__le__odd__power_1,axiom,
% 0.92/1.32 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.92/1.32 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(V_x,V_n,T_a),T_a)
% 0.92/1.32 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a)
% 0.92/1.32 | c_Parity_Oeven__odd__class_Oeven(V_n,tc_nat) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_zero__le__power__iff_0,axiom,
% 0.92/1.32 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.92/1.32 | c_Parity_Oeven__odd__class_Oeven(V_n,tc_nat)
% 0.92/1.32 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.92/1.32 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_power__le__imp__le__base_0,axiom,
% 0.92/1.32 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.92/1.32 | c_lessequals(V_a,V_b,T_a)
% 0.92/1.32 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.92/1.32 | ~ c_lessequals(c_Power_Opower__class_Opower(V_a,c_Suc(V_n),T_a),c_Power_Opower__class_Opower(V_b,c_Suc(V_n),T_a),T_a) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_power__le__zero__eq_2,axiom,
% 0.92/1.32 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.92/1.32 | c_Parity_Oeven__odd__class_Oeven(V_n,tc_nat)
% 0.92/1.32 | c_lessequals(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.32 | ~ c_lessequals(c_Power_Opower__class_Opower(V_x,V_n,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_power__le__zero__eq_0,axiom,
% 0.92/1.32 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.92/1.32 | ~ c_lessequals(c_Power_Opower__class_Opower(V_x,c_HOL_Ozero__class_Ozero(tc_nat),T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_power__eq__0__iff__number__of_2,axiom,
% 0.92/1.32 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a)
% 0.92/1.32 | ~ class_Ring__and__Field_Ono__zero__divisors(T_a)
% 0.92/1.32 | ~ class_Ring__and__Field_Omult__zero(T_a)
% 0.92/1.32 | ~ class_Power_Opower(T_a)
% 0.92/1.32 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,tc_nat),T_a) = c_HOL_Ozero__class_Ozero(T_a)
% 0.92/1.32 | c_Int_Onumber__class_Onumber__of(V_w,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_power__0__left__number__of_1,axiom,
% 0.92/1.32 ( ~ class_Ring__and__Field_Osemiring__0(T_a)
% 0.92/1.32 | ~ class_Power_Opower(T_a)
% 0.92/1.32 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,tc_nat),T_a) = c_HOL_Ozero__class_Ozero(T_a)
% 0.92/1.32 | c_Int_Onumber__class_Onumber__of(V_w,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_power__le__zero__eq__number__of_3,axiom,
% 0.92/1.32 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.92/1.32 | V_x = c_HOL_Ozero__class_Ozero(T_a)
% 0.92/1.32 | c_lessequals(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.32 | ~ c_lessequals(c_Power_Opower__class_Opower(V_x,c_Int_Onumber__class_Onumber__of(V_w,tc_nat),T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_power__inject__base_0,axiom,
% 0.92/1.32 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.92/1.32 | c_Power_Opower__class_Opower(V_a,c_Suc(V_n),T_a) != c_Power_Opower__class_Opower(V_b,c_Suc(V_n),T_a)
% 0.92/1.32 | V_a = V_b
% 0.92/1.32 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.92/1.32 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_power__le__zero__eq_1,axiom,
% 0.92/1.32 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.92/1.32 | V_x = c_HOL_Ozero__class_Ozero(T_a)
% 0.92/1.32 | ~ c_Parity_Oeven__odd__class_Oeven(V_n,tc_nat)
% 0.92/1.32 | ~ c_lessequals(c_Power_Opower__class_Opower(V_x,V_n,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_power__eq__0__iff__number__of_1,axiom,
% 0.92/1.32 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a)
% 0.92/1.32 | ~ class_Ring__and__Field_Ono__zero__divisors(T_a)
% 0.92/1.32 | ~ class_Ring__and__Field_Omult__zero(T_a)
% 0.92/1.32 | ~ class_Power_Opower(T_a)
% 0.92/1.32 | c_Int_Onumber__class_Onumber__of(V_w,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 0.92/1.32 | c_Power_Opower__class_Opower(V_a,c_Int_Onumber__class_Onumber__of(V_w,tc_nat),T_a) != c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_zero__le__power__eq_1,axiom,
% 0.92/1.32 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.92/1.32 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(V_x,V_n,T_a),T_a)
% 0.92/1.32 | ~ c_Parity_Oeven__odd__class_Oeven(V_n,tc_nat) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_zero__le__power__iff_2,axiom,
% 0.92/1.32 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.92/1.32 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a)
% 0.92/1.32 | ~ c_Parity_Oeven__odd__class_Oeven(V_n,tc_nat) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_zero__le__even__power_0,axiom,
% 0.92/1.32 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.92/1.32 | ~ class_OrderedGroup_Omonoid__mult(T_a)
% 0.92/1.32 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(V_x,V_n,T_a),T_a)
% 0.92/1.32 | ~ c_Parity_Oeven__odd__class_Oeven(V_n,tc_nat) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_inverse__1_0,axiom,
% 0.92/1.32 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 0.92/1.32 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(T_a),T_a) = c_HOL_Oone__class_Oone(T_a) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_inverse__eq__1__iff_1,axiom,
% 0.92/1.32 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.92/1.32 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.32 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(T_a),T_a) = c_HOL_Oone__class_Oone(T_a) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_divide__1_0,axiom,
% 0.92/1.32 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.92/1.32 | c_HOL_Oinverse__class_Odivide(V_a,c_HOL_Oone__class_Oone(T_a),T_a) = V_a ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_sgn__one_0,axiom,
% 0.92/1.32 ( ~ class_RealVector_Oreal__normed__algebra__1(T_a)
% 0.92/1.32 | c_HOL_Osgn__class_Osgn(c_HOL_Oone__class_Oone(T_a),T_a) = c_HOL_Oone__class_Oone(T_a) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_inverse__eq__1__iff_0,axiom,
% 0.92/1.32 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.92/1.32 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.32 | c_HOL_Oinverse__class_Oinverse(V_x,T_a) != c_HOL_Oone__class_Oone(T_a)
% 0.92/1.32 | V_x = c_HOL_Oone__class_Oone(T_a) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_div__by__1_0,axiom,
% 0.92/1.32 ( ~ class_Divides_Osemiring__div(T_a)
% 0.92/1.32 | c_Divides_Odiv__class_Odiv(V_a,c_HOL_Oone__class_Oone(T_a),T_a) = V_a ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_minus__one__odd__power_0,axiom,
% 0.92/1.32 ( ~ class_Ring__and__Field_Ocomm__ring__1(T_a)
% 0.92/1.32 | c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(T_a),T_a),V_x,T_a) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(T_a),T_a)
% 0.92/1.32 | c_Parity_Oeven__odd__class_Oeven(V_x,tc_nat) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_minus__one__even__power_0,axiom,
% 0.92/1.32 ( ~ class_Ring__and__Field_Ocomm__ring__1(T_a)
% 0.92/1.32 | c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(T_a),T_a),V_x,T_a) = c_HOL_Oone__class_Oone(T_a)
% 0.92/1.32 | ~ c_Parity_Oeven__odd__class_Oeven(V_x,tc_nat) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_nonzero__norm__inverse_0,axiom,
% 0.92/1.32 ( ~ class_RealVector_Oreal__normed__div__algebra(T_a)
% 0.92/1.32 | c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) = c_HOL_Oinverse__class_Oinverse(c_RealVector_Onorm__class_Onorm(V_a,T_a),tc_RealDef_Oreal)
% 0.92/1.32 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_power__inverse_0,axiom,
% 0.92/1.32 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 0.92/1.32 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.32 | c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(V_a,T_a),V_n,T_a) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_power__divide_0,axiom,
% 0.92/1.32 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.92/1.32 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.32 | c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),V_n,T_a) = c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(V_a,V_n,T_a),c_Power_Opower__class_Opower(V_b,V_n,T_a),T_a) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_real__sgn__def_0,axiom,
% 0.92/1.32 c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_INVERSE__ZERO_0,axiom,
% 0.92/1.32 c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_ln__le__cancel__iff_1,axiom,
% 0.92/1.32 ( c_lessequals(c_Transcendental_Oln(V_x),c_Transcendental_Oln(V_y),tc_RealDef_Oreal)
% 0.92/1.32 | ~ c_lessequals(V_x,V_y,tc_RealDef_Oreal)
% 0.92/1.32 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_y,tc_RealDef_Oreal)
% 0.92/1.32 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_ln__le__cancel__iff_0,axiom,
% 0.92/1.32 ( c_lessequals(V_x,V_y,tc_RealDef_Oreal)
% 0.92/1.32 | ~ c_lessequals(c_Transcendental_Oln(V_x),c_Transcendental_Oln(V_y),tc_RealDef_Oreal)
% 0.92/1.32 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_y,tc_RealDef_Oreal)
% 0.92/1.32 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_exp__ln_0,axiom,
% 0.92/1.32 ( c_Transcendental_Oexp(c_Transcendental_Oln(V_x),tc_RealDef_Oreal) = V_x
% 0.92/1.32 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_exp__ln__iff_0,axiom,
% 0.92/1.32 ( c_Transcendental_Oexp(c_Transcendental_Oln(V_x),tc_RealDef_Oreal) != V_x
% 0.92/1.32 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_norm__triangle__ineq_0,axiom,
% 0.92/1.32 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 0.92/1.32 | c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(V_x,V_y,T_a),T_a),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(V_x,T_a),c_RealVector_Onorm__class_Onorm(V_y,T_a),tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_real__less__def_0,axiom,
% 0.92/1.32 ( c_lessequals(V_x,V_y,tc_RealDef_Oreal)
% 0.92/1.32 | ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_exp__less__cancel_0,axiom,
% 0.92/1.32 ( c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal)
% 0.92/1.32 | ~ c_HOL_Oord__class_Oless(c_Transcendental_Oexp(V_x,tc_RealDef_Oreal),c_Transcendental_Oexp(V_y,tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_exp__less__mono_0,axiom,
% 0.92/1.32 ( c_HOL_Oord__class_Oless(c_Transcendental_Oexp(V_x,tc_RealDef_Oreal),c_Transcendental_Oexp(V_y,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 0.92/1.32 | ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_real__less__def_2,axiom,
% 0.92/1.32 ( c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal)
% 0.92/1.32 | V_x = V_y
% 0.92/1.32 | ~ c_lessequals(V_x,V_y,tc_RealDef_Oreal) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_real__mult__self__sum__ge__zero_0,axiom,
% 0.92/1.32 c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_y,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_Bseq__inverse__lemma_0,axiom,
% 0.92/1.32 ( ~ class_RealVector_Oreal__normed__div__algebra(T_a)
% 0.92/1.32 | c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Oinverse(V_x,T_a),T_a),c_HOL_Oinverse__class_Oinverse(V_r,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 0.92/1.32 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_r,tc_RealDef_Oreal)
% 0.92/1.32 | ~ c_lessequals(V_r,c_RealVector_Onorm__class_Onorm(V_x,T_a),tc_RealDef_Oreal) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_ln__ge__zero_0,axiom,
% 0.92/1.32 ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oln(V_x),tc_RealDef_Oreal)
% 0.92/1.32 | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_exp__le__one__iff_1,axiom,
% 0.92/1.32 ( c_lessequals(c_Transcendental_Oexp(V_x,tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 0.92/1.32 | ~ c_lessequals(V_x,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_exp__le__one__iff_0,axiom,
% 0.92/1.32 ( c_lessequals(V_x,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 0.92/1.32 | ~ c_lessequals(c_Transcendental_Oexp(V_x,tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_one__le__exp__iff_1,axiom,
% 0.92/1.32 ( c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_Transcendental_Oexp(V_x,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 0.92/1.32 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_one__le__exp__iff_0,axiom,
% 0.92/1.32 ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal)
% 0.92/1.32 | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_Transcendental_Oexp(V_x,tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_nat__add__left__cancel__less_1,axiom,
% 0.92/1.32 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_k,V_m,tc_nat),c_HOL_Oplus__class_Oplus(V_k,V_n,tc_nat),tc_nat)
% 0.92/1.32 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_nat__add__left__cancel__less_0,axiom,
% 0.92/1.32 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.92/1.32 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_k,V_m,tc_nat),c_HOL_Oplus__class_Oplus(V_k,V_n,tc_nat),tc_nat) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_add__less__mono1_0,axiom,
% 0.92/1.32 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_i,V_k,tc_nat),c_HOL_Oplus__class_Oplus(V_j,V_k,tc_nat),tc_nat)
% 0.92/1.32 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_not__add__less1_0,axiom,
% 0.92/1.32 ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_i,V_j,tc_nat),V_i,tc_nat) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_not__add__less2_0,axiom,
% 0.92/1.32 ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_j,V_i,tc_nat),V_i,tc_nat) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_add__less__mono_0,axiom,
% 0.92/1.32 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_i,V_k,tc_nat),c_HOL_Oplus__class_Oplus(V_j,V_l,tc_nat),tc_nat)
% 0.92/1.32 | ~ c_HOL_Oord__class_Oless(V_k,V_l,tc_nat)
% 0.92/1.32 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_less__add__eq__less_0,axiom,
% 0.92/1.32 ( c_HOL_Oplus__class_Oplus(V_m,V_l,tc_nat) != c_HOL_Oplus__class_Oplus(V_k,V_n,tc_nat)
% 0.92/1.32 | ~ c_HOL_Oord__class_Oless(V_k,V_l,tc_nat)
% 0.92/1.32 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_add__Suc__right_0,axiom,
% 0.92/1.32 c_HOL_Oplus__class_Oplus(V_m,c_Suc(V_n),tc_nat) = c_Suc(c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat)) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_add__Suc_0,axiom,
% 0.92/1.32 c_HOL_Oplus__class_Oplus(c_Suc(V_m),V_n,tc_nat) = c_Suc(c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat)) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_add__Suc__shift_0,axiom,
% 0.92/1.32 c_HOL_Oplus__class_Oplus(c_Suc(V_m),V_n,tc_nat) = c_HOL_Oplus__class_Oplus(V_m,c_Suc(V_n),tc_nat) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_odd__add_0,axiom,
% 0.92/1.32 ( ~ c_Parity_Oeven__odd__class_Oeven(V_n,tc_nat)
% 0.92/1.32 | ~ c_Parity_Oeven__odd__class_Oeven(V_m,tc_nat)
% 0.92/1.32 | c_Parity_Oeven__odd__class_Oeven(c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat),tc_nat) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_odd__add_1,axiom,
% 0.92/1.32 ( c_Parity_Oeven__odd__class_Oeven(V_m,tc_nat)
% 0.92/1.32 | c_Parity_Oeven__odd__class_Oeven(V_n,tc_nat)
% 0.92/1.32 | c_Parity_Oeven__odd__class_Oeven(c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat),tc_nat) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_odd__add_2,axiom,
% 0.92/1.32 ( ~ c_Parity_Oeven__odd__class_Oeven(c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat),tc_nat)
% 0.92/1.32 | ~ c_Parity_Oeven__odd__class_Oeven(V_n,tc_nat)
% 0.92/1.32 | c_Parity_Oeven__odd__class_Oeven(V_m,tc_nat) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_odd__add_3,axiom,
% 0.92/1.32 ( ~ c_Parity_Oeven__odd__class_Oeven(c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat),tc_nat)
% 0.92/1.32 | c_Parity_Oeven__odd__class_Oeven(V_n,tc_nat)
% 0.92/1.32 | ~ c_Parity_Oeven__odd__class_Oeven(V_m,tc_nat) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_even__add_0,axiom,
% 0.92/1.32 ( c_Parity_Oeven__odd__class_Oeven(V_n,tc_nat)
% 0.92/1.32 | ~ c_Parity_Oeven__odd__class_Oeven(V_m,tc_nat)
% 0.92/1.32 | ~ c_Parity_Oeven__odd__class_Oeven(c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat),tc_nat) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_even__add_1,axiom,
% 0.92/1.32 ( c_Parity_Oeven__odd__class_Oeven(V_m,tc_nat)
% 0.92/1.32 | ~ c_Parity_Oeven__odd__class_Oeven(V_n,tc_nat)
% 0.92/1.32 | ~ c_Parity_Oeven__odd__class_Oeven(c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat),tc_nat) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_even__add_2,axiom,
% 0.92/1.32 ( c_Parity_Oeven__odd__class_Oeven(c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat),tc_nat)
% 0.92/1.32 | c_Parity_Oeven__odd__class_Oeven(V_n,tc_nat)
% 0.92/1.32 | c_Parity_Oeven__odd__class_Oeven(V_m,tc_nat) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_even__add_3,axiom,
% 0.92/1.32 ( c_Parity_Oeven__odd__class_Oeven(c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat),tc_nat)
% 0.92/1.32 | ~ c_Parity_Oeven__odd__class_Oeven(V_n,tc_nat)
% 0.92/1.32 | ~ c_Parity_Oeven__odd__class_Oeven(V_m,tc_nat) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_even__sum__nat_0,axiom,
% 0.92/1.32 ( ~ c_Parity_Oeven__odd__class_Oeven(V_y,tc_nat)
% 0.92/1.32 | c_Parity_Oeven__odd__class_Oeven(V_x,tc_nat)
% 0.92/1.32 | ~ c_Parity_Oeven__odd__class_Oeven(c_HOL_Oplus__class_Oplus(V_x,V_y,tc_nat),tc_nat) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_even__sum__nat_1,axiom,
% 0.92/1.32 ( ~ c_Parity_Oeven__odd__class_Oeven(V_x,tc_nat)
% 0.92/1.32 | c_Parity_Oeven__odd__class_Oeven(V_y,tc_nat)
% 0.92/1.32 | ~ c_Parity_Oeven__odd__class_Oeven(c_HOL_Oplus__class_Oplus(V_x,V_y,tc_nat),tc_nat) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_even__sum__nat_2,axiom,
% 0.92/1.32 ( c_Parity_Oeven__odd__class_Oeven(c_HOL_Oplus__class_Oplus(V_x,V_y,tc_nat),tc_nat)
% 0.92/1.32 | ~ c_Parity_Oeven__odd__class_Oeven(V_y,tc_nat)
% 0.92/1.32 | ~ c_Parity_Oeven__odd__class_Oeven(V_x,tc_nat) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_even__sum__nat_3,axiom,
% 0.92/1.32 ( c_Parity_Oeven__odd__class_Oeven(c_HOL_Oplus__class_Oplus(V_x,V_y,tc_nat),tc_nat)
% 0.92/1.32 | c_Parity_Oeven__odd__class_Oeven(V_y,tc_nat)
% 0.92/1.32 | c_Parity_Oeven__odd__class_Oeven(V_x,tc_nat) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_add__is__0_0,axiom,
% 0.92/1.32 ( c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 0.92/1.32 | V_m = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_add__is__0_1,axiom,
% 0.92/1.32 ( c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 0.92/1.32 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_natgb_Oadd__r0__iff_0,axiom,
% 0.92/1.32 ( V_x != c_HOL_Oplus__class_Oplus(V_x,V_a,tc_nat)
% 0.92/1.32 | V_a = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_add__eq__self__zero_0,axiom,
% 0.92/1.32 ( c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat) != V_m
% 0.92/1.32 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_termination__basic__simps_I1_J_0,axiom,
% 0.92/1.32 ( c_HOL_Oord__class_Oless(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,tc_nat),tc_nat)
% 0.92/1.32 | ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_nat) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_termination__basic__simps_I2_J_0,axiom,
% 0.92/1.32 ( c_HOL_Oord__class_Oless(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,tc_nat),tc_nat)
% 0.92/1.32 | ~ c_HOL_Oord__class_Oless(V_x,V_z,tc_nat) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_add__lessD1_0,axiom,
% 0.92/1.32 ( c_HOL_Oord__class_Oless(V_i,V_k,tc_nat)
% 0.92/1.32 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_i,V_j,tc_nat),V_k,tc_nat) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_trans__less__add1_0,axiom,
% 0.92/1.32 ( c_HOL_Oord__class_Oless(V_i,c_HOL_Oplus__class_Oplus(V_j,V_m,tc_nat),tc_nat)
% 0.92/1.32 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_trans__less__add2_0,axiom,
% 0.92/1.32 ( c_HOL_Oord__class_Oless(V_i,c_HOL_Oplus__class_Oplus(V_m,V_j,tc_nat),tc_nat)
% 0.92/1.32 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_add__is__0_2,axiom,
% 0.92/1.32 c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_natgb_Oadd__r0__iff_1,axiom,
% 0.92/1.32 V_x = c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_neq0__conv_1,axiom,
% 0.92/1.32 ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_neg__power__if_1,axiom,
% 0.92/1.32 ( ~ class_Ring__and__Field_Ocomm__ring__1(T_a)
% 0.92/1.32 | c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(V_x,T_a),V_n,T_a) = c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(V_x,V_n,T_a),T_a)
% 0.92/1.32 | c_Parity_Oeven__odd__class_Oeven(V_n,tc_nat) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_divide__inverse_0,axiom,
% 0.92/1.32 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.92/1.32 | c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a) = c_HOL_Otimes__class_Otimes(V_a,c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_class__fieldgb_Odivide__inverse_0,axiom,
% 0.92/1.32 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.92/1.32 | ~ class_Int_Onumber__ring(T_a)
% 0.92/1.32 | c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a) = c_HOL_Otimes__class_Otimes(V_x,c_HOL_Oinverse__class_Oinverse(V_y,T_a),T_a) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_inverse__eq__divide__number__of_0,axiom,
% 0.92/1.32 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.92/1.32 | ~ class_Int_Onumber(T_a)
% 0.92/1.32 | c_HOL_Oinverse__class_Oinverse(c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_le__divide__eq__number__of_9,axiom,
% 0.92/1.32 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.32 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.32 | ~ class_Int_Onumber(T_a)
% 0.92/1.32 | c_lessequals(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 0.92/1.32 | ~ c_lessequals(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.32 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),T_a)
% 0.92/1.32 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),V_b,T_a) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_le__divide__eq__number__of_3,axiom,
% 0.92/1.32 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.32 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.32 | ~ class_Int_Onumber(T_a)
% 0.92/1.32 | c_lessequals(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 0.92/1.32 | ~ c_lessequals(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.32 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.32 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_le__divide__eq__number__of_2,axiom,
% 0.92/1.32 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.32 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.32 | ~ class_Int_Onumber(T_a)
% 0.92/1.32 | c_lessequals(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.32 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.32 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.92/1.32 | ~ c_lessequals(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_Lim_Ominus__diff__minus_0,axiom,
% 0.92/1.32 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.92/1.32 | c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),T_a) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_order__eq__refl_0,axiom,
% 0.92/1.32 ( ~ class_Orderings_Opreorder(T_a)
% 0.92/1.32 | c_lessequals(V_x,V_x,T_a) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_order__eq__iff_0,axiom,
% 0.92/1.32 ( ~ class_Orderings_Oorder(T_a)
% 0.92/1.32 | c_lessequals(V_x,V_x,T_a) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_real__le__trans_0,axiom,
% 0.92/1.32 ( c_lessequals(V_i,V_k,tc_RealDef_Oreal)
% 0.92/1.32 | ~ c_lessequals(V_j,V_k,tc_RealDef_Oreal)
% 0.92/1.32 | ~ c_lessequals(V_i,V_j,tc_RealDef_Oreal) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_real__le__refl_0,axiom,
% 0.92/1.32 c_lessequals(V_w,V_w,tc_RealDef_Oreal) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_order__trans_0,axiom,
% 0.92/1.32 ( ~ class_Orderings_Opreorder(T_a)
% 0.92/1.32 | c_lessequals(V_x,V_z,T_a)
% 0.92/1.32 | ~ c_lessequals(V_y,V_z,T_a)
% 0.92/1.32 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_xt1_I6_J_0,axiom,
% 0.92/1.32 ( ~ class_Orderings_Oorder(T_a)
% 0.92/1.32 | c_lessequals(V_z,V_x,T_a)
% 0.92/1.32 | ~ c_lessequals(V_z,V_y,T_a)
% 0.92/1.32 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_exp__ge__add__one__self__aux_0,axiom,
% 0.92/1.32 ( c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal),c_Transcendental_Oexp(V_x,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 0.92/1.32 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_add__is__1_5,axiom,
% 0.92/1.32 c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_exp__minus_0,axiom,
% 0.92/1.32 ( ~ class_SEQ_Obanach(T_a)
% 0.92/1.32 | ~ class_RealVector_Oreal__normed__field(T_a)
% 0.92/1.32 | c_Transcendental_Oexp(c_HOL_Ouminus__class_Ouminus(V_x,T_a),T_a) = c_HOL_Oinverse__class_Oinverse(c_Transcendental_Oexp(V_x,T_a),T_a) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_divide__le__eq__number__of1_9,axiom,
% 0.92/1.32 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.32 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.32 | ~ class_Int_Onumber(T_a)
% 0.92/1.32 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_a,T_a)
% 0.92/1.32 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.92/1.32 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_b,T_a)
% 0.92/1.32 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_le__divide__eq__number__of1_9,axiom,
% 0.92/1.32 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.32 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.32 | ~ class_Int_Onumber(T_a)
% 0.92/1.32 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a)
% 0.92/1.32 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.32 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a)
% 0.92/1.32 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_b,T_a) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_linorder__linear_0,axiom,
% 0.92/1.32 ( ~ class_Orderings_Olinorder(T_a)
% 0.92/1.32 | c_lessequals(V_y,V_x,T_a)
% 0.92/1.32 | c_lessequals(V_x,V_y,T_a) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_real__le__linear_0,axiom,
% 0.92/1.32 ( c_lessequals(V_w,V_z,tc_RealDef_Oreal)
% 0.92/1.32 | c_lessequals(V_z,V_w,tc_RealDef_Oreal) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_power__0__left__number__of_0,axiom,
% 0.92/1.32 ( ~ class_Ring__and__Field_Osemiring__0(T_a)
% 0.92/1.32 | ~ class_Power_Opower(T_a)
% 0.92/1.32 | c_Int_Onumber__class_Onumber__of(V_w,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 0.92/1.32 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,tc_nat),T_a) = c_HOL_Oone__class_Oone(T_a) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_one__less__power_0,axiom,
% 0.92/1.32 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.92/1.32 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a)
% 0.92/1.32 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
% 0.92/1.32 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_a,T_a) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_ln__mult_0,axiom,
% 0.92/1.32 ( c_Transcendental_Oln(c_HOL_Otimes__class_Otimes(V_x,V_y,tc_RealDef_Oreal)) = c_HOL_Oplus__class_Oplus(c_Transcendental_Oln(V_x),c_Transcendental_Oln(V_y),tc_RealDef_Oreal)
% 0.92/1.32 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_y,tc_RealDef_Oreal)
% 0.92/1.32 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_ln__ge__zero__iff_0,axiom,
% 0.92/1.32 ( c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal)
% 0.92/1.32 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oln(V_x),tc_RealDef_Oreal)
% 0.92/1.32 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_ln__ge__zero__iff_1,axiom,
% 0.92/1.32 ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oln(V_x),tc_RealDef_Oreal)
% 0.92/1.32 | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal)
% 0.92/1.32 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_ln__ge__zero__imp__ge__one_0,axiom,
% 0.92/1.32 ( c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal)
% 0.92/1.32 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal)
% 0.92/1.32 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oln(V_x),tc_RealDef_Oreal) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_realpow__Suc__le__self_0,axiom,
% 0.92/1.32 ( c_lessequals(c_Power_Opower__class_Opower(V_r,c_Suc(V_n),tc_RealDef_Oreal),V_r,tc_RealDef_Oreal)
% 0.92/1.32 | ~ c_lessequals(V_r,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 0.92/1.32 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_r,tc_RealDef_Oreal) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_k1n_0,axiom,
% 0.92/1.32 c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(v_k____,c_HOL_Oone__class_Oone(tc_nat),tc_nat),v_n____,tc_nat) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_divide__less__0__iff_0,axiom,
% 0.92/1.32 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.32 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.32 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.32 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.92/1.32 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_divide__less__0__iff_1,axiom,
% 0.92/1.32 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.32 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.32 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.92/1.32 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.92/1.32 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_divide__less__0__iff_2,axiom,
% 0.92/1.32 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.32 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.32 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.32 | c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.32 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_divide__less__0__iff_3,axiom,
% 0.92/1.32 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.32 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.32 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.92/1.32 | c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.32 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_inverse__positive__iff__positive_0,axiom,
% 0.92/1.32 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.32 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.32 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.92/1.32 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_inverse__positive__iff__positive_1,axiom,
% 0.92/1.32 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.32 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.32 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a)
% 0.92/1.32 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_positive__imp__inverse__positive_0,axiom,
% 0.92/1.32 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.32 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a)
% 0.92/1.32 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_neg__less__0__iff__less_0,axiom,
% 0.92/1.32 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.92/1.32 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.92/1.32 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_neg__less__0__iff__less_1,axiom,
% 0.92/1.32 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.92/1.32 | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.32 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_Rational_Oordered__idom__class_Osgn__greater_0,axiom,
% 0.92/1.32 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.92/1.32 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.92/1.32 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Osgn__class_Osgn(V_a,T_a),T_a) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_Rational_Oordered__idom__class_Osgn__greater_1,axiom,
% 0.92/1.32 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.92/1.32 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Osgn__class_Osgn(V_a,T_a),T_a)
% 0.92/1.32 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_inverse__negative__imp__negative_0,axiom,
% 0.92/1.32 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.32 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.32 | V_a = c_HOL_Ozero__class_Ozero(T_a)
% 0.92/1.32 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_zero__less__divide__iff_0,axiom,
% 0.92/1.32 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.32 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.32 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.32 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.92/1.32 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_zero__less__divide__iff_1,axiom,
% 0.92/1.32 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.32 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.32 | c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.32 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.92/1.32 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_zero__less__divide__iff_2,axiom,
% 0.92/1.32 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.32 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.32 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.32 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.92/1.32 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_zero__less__divide__iff_3,axiom,
% 0.92/1.32 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.32 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.32 | c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.32 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.92/1.32 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_divide__less__eq_2,axiom,
% 0.92/1.32 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.32 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.32 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.92/1.32 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.32 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.92/1.32 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_divide__less__eq_3,axiom,
% 0.92/1.32 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.32 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.32 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a)
% 0.92/1.32 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.92/1.32 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.32 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_less__divide__eq_2,axiom,
% 0.92/1.32 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.32 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.32 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.32 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.32 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.92/1.32 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_less__divide__eq_3,axiom,
% 0.92/1.32 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.32 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.32 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 0.92/1.32 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.32 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.32 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_divide__neg__neg_0,axiom,
% 0.92/1.32 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.32 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),T_a)
% 0.92/1.32 | ~ c_HOL_Oord__class_Oless(V_y,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.32 | ~ c_HOL_Oord__class_Oless(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_divide__pos__pos_0,axiom,
% 0.92/1.32 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.32 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),T_a)
% 0.92/1.32 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)
% 0.92/1.32 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_zero__less__divide__iff_4,axiom,
% 0.92/1.32 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.32 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.32 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a)
% 0.92/1.32 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.92/1.32 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_zero__less__divide__iff_5,axiom,
% 0.92/1.32 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.32 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.32 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a)
% 0.92/1.32 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.32 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_Rational_Oordered__idom__class_Osgn__less_0,axiom,
% 0.92/1.32 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.92/1.32 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.32 | ~ c_HOL_Oord__class_Oless(c_HOL_Osgn__class_Osgn(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_Rational_Oordered__idom__class_Osgn__less_1,axiom,
% 0.92/1.32 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.92/1.32 | c_HOL_Oord__class_Oless(c_HOL_Osgn__class_Osgn(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.32 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_divide__strict__right__mono_0,axiom,
% 0.92/1.32 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.32 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_a,V_c,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 0.92/1.32 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.92/1.32 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_divide__strict__right__mono__neg_0,axiom,
% 0.92/1.32 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.32 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_a,V_c,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 0.92/1.32 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.32 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_inverse__positive__imp__positive_0,axiom,
% 0.92/1.32 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.32 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.92/1.32 | V_a = c_HOL_Ozero__class_Ozero(T_a)
% 0.92/1.32 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_inverse__less__imp__less_0,axiom,
% 0.92/1.32 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.32 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.92/1.32 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.92/1.32 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_less__imp__inverse__less_0,axiom,
% 0.92/1.32 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.32 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_b,T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a)
% 0.92/1.32 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.92/1.32 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_inverse__less__imp__less__neg_0,axiom,
% 0.92/1.32 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.32 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.92/1.32 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.32 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_less__imp__inverse__less__neg_0,axiom,
% 0.92/1.32 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.32 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_b,T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a)
% 0.92/1.32 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.32 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_inverse__negative__iff__negative_0,axiom,
% 0.92/1.32 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.32 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.32 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.32 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_inverse__negative__iff__negative_1,axiom,
% 0.92/1.32 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.32 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.32 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.32 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_negative__imp__inverse__negative_0,axiom,
% 0.92/1.32 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.32 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.32 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_less__iff__diff__less__0_0,axiom,
% 0.92/1.32 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.92/1.32 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.32 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_less__iff__diff__less__0_1,axiom,
% 0.92/1.32 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.92/1.32 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.92/1.32 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_divide__neg__pos_0,axiom,
% 0.92/1.32 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.32 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.32 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)
% 0.92/1.32 | ~ c_HOL_Oord__class_Oless(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_divide__pos__neg_0,axiom,
% 0.92/1.32 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.32 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.32 | ~ c_HOL_Oord__class_Oless(V_y,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.32 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_divide__less__0__iff_4,axiom,
% 0.92/1.32 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.32 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.32 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.32 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.32 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_divide__less__0__iff_5,axiom,
% 0.92/1.32 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.32 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.32 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.32 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.92/1.32 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_neg__0__less__iff__less_0,axiom,
% 0.92/1.32 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.92/1.32 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.32 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_neg__0__less__iff__less_1,axiom,
% 0.92/1.32 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.92/1.32 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
% 0.92/1.32 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_less__minus__self__iff_0,axiom,
% 0.92/1.32 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.92/1.32 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.32 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_less__minus__self__iff_1,axiom,
% 0.92/1.32 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.92/1.32 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
% 0.92/1.32 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_mult__divide__mult__cancel__left_0,axiom,
% 0.92/1.32 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.92/1.32 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.32 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) = c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a)
% 0.92/1.32 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_mult__divide__mult__cancel__right_0,axiom,
% 0.92/1.32 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.92/1.32 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.32 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) = c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a)
% 0.92/1.32 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_div__mult__self1__is__id_0,axiom,
% 0.92/1.32 ( ~ class_Divides_Osemiring__div(T_a)
% 0.92/1.32 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(V_b,V_a,T_a),V_b,T_a) = V_a
% 0.92/1.32 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_div__mult__self2__is__id_0,axiom,
% 0.92/1.32 ( ~ class_Divides_Osemiring__div(T_a)
% 0.92/1.32 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_b,T_a) = V_a
% 0.92/1.32 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_divide__eq__eq_3,axiom,
% 0.92/1.32 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.92/1.32 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.32 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_c,T_a) = V_a
% 0.92/1.32 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_eq__divide__eq_3,axiom,
% 0.92/1.32 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.92/1.32 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.32 | V_a = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_c,T_a)
% 0.92/1.32 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_divide__eq__imp_0,axiom,
% 0.92/1.32 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.92/1.32 | V_c = c_HOL_Ozero__class_Ozero(T_a)
% 0.92/1.32 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_c,T_a) = V_a ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_eq__divide__imp_0,axiom,
% 0.92/1.32 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.92/1.32 | V_c = c_HOL_Ozero__class_Ozero(T_a)
% 0.92/1.32 | V_a = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_c,T_a) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_div__mult__mult1__if_0,axiom,
% 0.92/1.32 ( ~ class_Divides_Osemiring__div(T_a)
% 0.92/1.32 | c_Divides_Odiv__class_Odiv(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) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_mult__le__0__iff_0,axiom,
% 0.92/1.32 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.92/1.32 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.32 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.92/1.32 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_mult__le__0__iff_1,axiom,
% 0.92/1.32 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.92/1.32 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.92/1.32 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.92/1.32 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_mult__le__0__iff_2,axiom,
% 0.92/1.32 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.92/1.32 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.32 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.32 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_mult__le__0__iff_3,axiom,
% 0.92/1.32 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.92/1.32 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.92/1.32 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.32 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_mult__mono1_0,axiom,
% 0.92/1.32 ( ~ class_Ring__and__Field_Omult__mono1(T_a)
% 0.92/1.32 | c_lessequals(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 0.92/1.32 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.92/1.32 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_mult__left__mono_0,axiom,
% 0.92/1.32 ( ~ class_Ring__and__Field_Omult__mono(T_a)
% 0.92/1.32 | c_lessequals(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 0.92/1.32 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.92/1.32 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_mult__right__mono_0,axiom,
% 0.92/1.32 ( ~ class_Ring__and__Field_Omult__mono(T_a)
% 0.92/1.32 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a)
% 0.92/1.32 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.92/1.32 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_mult__left__mono__neg_0,axiom,
% 0.92/1.32 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 0.92/1.32 | c_lessequals(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 0.92/1.32 | ~ c_lessequals(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.32 | ~ c_lessequals(V_b,V_a,T_a) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_mult__right__mono__neg_0,axiom,
% 0.92/1.32 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 0.92/1.32 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a)
% 0.92/1.32 | ~ c_lessequals(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.32 | ~ c_lessequals(V_b,V_a,T_a) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_split__mult__pos__le_0,axiom,
% 0.92/1.32 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 0.92/1.32 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 0.92/1.32 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.92/1.32 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_split__mult__pos__le_1,axiom,
% 0.92/1.32 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 0.92/1.32 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 0.92/1.32 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.32 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_mult__nonpos__nonpos_0,axiom,
% 0.92/1.32 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 0.92/1.32 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 0.92/1.32 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.32 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_zero__le__square_0,axiom,
% 0.92/1.32 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.92/1.32 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_a,T_a),T_a) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_zero__le__mult__iff_4,axiom,
% 0.92/1.32 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.92/1.32 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 0.92/1.32 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.92/1.32 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_zero__le__mult__iff_5,axiom,
% 0.92/1.32 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.92/1.32 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 0.92/1.32 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.32 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_Nat_Oadd__0__right_0,axiom,
% 0.92/1.32 c_HOL_Oplus__class_Oplus(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = V_m ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_plus__nat_Oadd__0_0,axiom,
% 0.92/1.32 c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) = V_n ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_realpow__increasing_0,axiom,
% 0.92/1.32 ( c_lessequals(V_x,V_y,tc_RealDef_Oreal)
% 0.92/1.32 | ~ c_lessequals(c_Power_Opower__class_Opower(V_x,c_Suc(V_n),tc_RealDef_Oreal),c_Power_Opower__class_Opower(V_y,c_Suc(V_n),tc_RealDef_Oreal),tc_RealDef_Oreal)
% 0.92/1.32 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_y,tc_RealDef_Oreal)
% 0.92/1.32 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_realpow__two__mult__inverse_0,axiom,
% 0.92/1.32 ( c_HOL_Otimes__class_Otimes(V_r,c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(V_r,tc_RealDef_Oreal),c_Suc(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oinverse__class_Oinverse(V_r,tc_RealDef_Oreal)
% 0.92/1.32 | V_r = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_real__add__mult__distrib_0,axiom,
% 0.92/1.32 c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_z1,V_z2,tc_RealDef_Oreal),V_w,tc_RealDef_Oreal) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_z1,V_w,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_z2,V_w,tc_RealDef_Oreal),tc_RealDef_Oreal) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_norm__minus__cancel_0,axiom,
% 0.92/1.32 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 0.92/1.32 | c_RealVector_Onorm__class_Onorm(c_HOL_Ouminus__class_Ouminus(V_x,T_a),T_a) = c_RealVector_Onorm__class_Onorm(V_x,T_a) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_norm__minus__commute_0,axiom,
% 0.92/1.32 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 0.92/1.32 | c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),T_a) = c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(V_b,V_a,T_a),T_a) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_odd__1__nat_0,axiom,
% 0.92/1.32 ~ c_Parity_Oeven__odd__class_Oeven(c_HOL_Oone__class_Oone(tc_nat),tc_nat) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_kas_I2_J_0,axiom,
% 0.92/1.32 v_k____ != c_HOL_Ozero__class_Ozero(tc_nat) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_le__divide__eq_4,axiom,
% 0.92/1.32 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.32 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.32 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 0.92/1.32 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.32 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a)
% 0.92/1.32 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.92/1.32
% 0.92/1.32 cnf(cls_le__divide__eq_1,axiom,
% 0.92/1.32 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.32 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.32 | c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a)
% 0.92/1.32 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.33 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.92/1.33 | ~ c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_divide__le__eq_4,axiom,
% 0.92/1.33 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.33 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.33 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.33 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a)
% 0.92/1.33 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_divide__le__eq_1,axiom,
% 0.92/1.33 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.33 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.33 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.33 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.92/1.33 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_less__divide__eq__number__of_8,axiom,
% 0.92/1.33 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.33 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.33 | ~ class_Int_Onumber(T_a)
% 0.92/1.33 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),T_a)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),V_b,T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_less__divide__eq__number__of_4,axiom,
% 0.92/1.33 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.33 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.33 | ~ class_Int_Onumber(T_a)
% 0.92/1.33 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),T_a)
% 0.92/1.33 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_less__divide__eq__number__of_1,axiom,
% 0.92/1.33 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.33 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.33 | ~ class_Int_Onumber(T_a)
% 0.92/1.33 | c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),T_a)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.33 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_less__divide__eq__number__of_9,axiom,
% 0.92/1.33 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.33 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.33 | ~ class_Int_Onumber(T_a)
% 0.92/1.33 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),T_a)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),V_b,T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_less__divide__eq__number__of_7,axiom,
% 0.92/1.33 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.33 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.33 | ~ class_Int_Onumber(T_a)
% 0.92/1.33 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.33 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),V_b,T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_less__divide__eq__number__of_5,axiom,
% 0.92/1.33 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.33 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.33 | ~ class_Int_Onumber(T_a)
% 0.92/1.33 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),T_a)
% 0.92/1.33 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_divide__less__eq__number__of_9,axiom,
% 0.92/1.33 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.33 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.33 | ~ class_Int_Onumber(T_a)
% 0.92/1.33 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),V_b,T_a)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_less__divide__eq__number__of1_5,axiom,
% 0.92/1.33 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.33 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.33 | ~ class_Int_Onumber(T_a)
% 0.92/1.33 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a)
% 0.92/1.33 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_divide__less__eq__number__of1_5,axiom,
% 0.92/1.33 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.33 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.33 | ~ class_Int_Onumber(T_a)
% 0.92/1.33 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_a,T_a)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_b,T_a)
% 0.92/1.33 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_divide__less__eq__number__of_7,axiom,
% 0.92/1.33 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.33 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.33 | ~ class_Int_Onumber(T_a)
% 0.92/1.33 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 0.92/1.33 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_divide__less__eq__number__of_5,axiom,
% 0.92/1.33 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.33 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.33 | ~ class_Int_Onumber(T_a)
% 0.92/1.33 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),V_b,T_a)
% 0.92/1.33 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_less__divide__eq__number__of1_4,axiom,
% 0.92/1.33 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.33 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.33 | ~ class_Int_Onumber(T_a)
% 0.92/1.33 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a)
% 0.92/1.33 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_less__divide__eq__number__of1_1,axiom,
% 0.92/1.33 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.33 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.33 | ~ class_Int_Onumber(T_a)
% 0.92/1.33 | c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.33 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_divide__less__eq__number__of1_4,axiom,
% 0.92/1.33 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.33 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.33 | ~ class_Int_Onumber(T_a)
% 0.92/1.33 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_a,T_a)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_b,T_a)
% 0.92/1.33 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_divide__less__eq__number__of1_1,axiom,
% 0.92/1.33 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.33 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.33 | ~ class_Int_Onumber(T_a)
% 0.92/1.33 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_b,T_a)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.33 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_a,T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_le__divide__eq_7,axiom,
% 0.92/1.33 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.33 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.33 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 0.92/1.33 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.33 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.33 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_le__divide__eq_5,axiom,
% 0.92/1.33 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.33 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.33 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 0.92/1.33 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.33 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a)
% 0.92/1.33 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_divide__le__eq_7,axiom,
% 0.92/1.33 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.33 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.33 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a)
% 0.92/1.33 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.92/1.33 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.33 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_divide__le__eq_5,axiom,
% 0.92/1.33 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.33 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.33 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a)
% 0.92/1.33 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.92/1.33 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a)
% 0.92/1.33 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_divide__less__eq__number__of_6,axiom,
% 0.92/1.33 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.33 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.33 | ~ class_Int_Onumber(T_a)
% 0.92/1.33 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_divide__less__eq__number__of_0,axiom,
% 0.92/1.33 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.33 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.33 | ~ class_Int_Onumber(T_a)
% 0.92/1.33 | c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),T_a)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_less__divide__eq__number__of_6,axiom,
% 0.92/1.33 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.33 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.33 | ~ class_Int_Onumber(T_a)
% 0.92/1.33 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),V_b,T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_less__divide__eq__number__of_0,axiom,
% 0.92/1.33 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.33 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.33 | ~ class_Int_Onumber(T_a)
% 0.92/1.33 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),V_b,T_a)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_le__divide__eq_8,axiom,
% 0.92/1.33 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.33 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.33 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.33 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a)
% 0.92/1.33 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_divide__le__eq_8,axiom,
% 0.92/1.33 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.33 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.33 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.33 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a)
% 0.92/1.33 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_mult__imp__le__div__pos_0,axiom,
% 0.92/1.33 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.33 | c_lessequals(V_z,c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),T_a)
% 0.92/1.33 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_z,V_y,T_a),V_x,T_a)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_mult__imp__div__pos__le_0,axiom,
% 0.92/1.33 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.33 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),V_z,T_a)
% 0.92/1.33 | ~ c_lessequals(V_x,c_HOL_Otimes__class_Otimes(V_z,V_y,T_a),T_a)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_le__divide__eq_6,axiom,
% 0.92/1.33 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.33 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.33 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.92/1.33 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_le__divide__eq_0,axiom,
% 0.92/1.33 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.33 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.33 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.92/1.33 | ~ c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_divide__le__eq_6,axiom,
% 0.92/1.33 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.33 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.33 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.92/1.33 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_divide__le__eq_0,axiom,
% 0.92/1.33 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.33 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.33 | c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.92/1.33 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_divide__less__eq__number__of_4,axiom,
% 0.92/1.33 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.33 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.33 | ~ class_Int_Onumber(T_a)
% 0.92/1.33 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),V_b,T_a)
% 0.92/1.33 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_divide__less__eq__number__of_1,axiom,
% 0.92/1.33 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.33 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.33 | ~ class_Int_Onumber(T_a)
% 0.92/1.33 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),V_b,T_a)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.33 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_less__divide__eq__number__of1_9,axiom,
% 0.92/1.33 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.33 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.33 | ~ class_Int_Onumber(T_a)
% 0.92/1.33 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_b,T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_divide__less__eq__number__of1_9,axiom,
% 0.92/1.33 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.33 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.33 | ~ class_Int_Onumber(T_a)
% 0.92/1.33 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_a,T_a)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_b,T_a)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_divide__less__eq__number__of_8,axiom,
% 0.92/1.33 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.33 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.33 | ~ class_Int_Onumber(T_a)
% 0.92/1.33 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),V_b,T_a)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_divide__left__mono__neg_0,axiom,
% 0.92/1.33 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.33 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.33 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_c,V_a,T_a),c_HOL_Oinverse__class_Odivide(V_c,V_b,T_a),T_a)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 0.92/1.33 | ~ c_lessequals(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.33 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_divide__left__mono_0,axiom,
% 0.92/1.33 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.33 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_c,V_a,T_a),c_HOL_Oinverse__class_Odivide(V_c,V_b,T_a),T_a)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 0.92/1.33 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.92/1.33 | ~ c_lessequals(V_b,V_a,T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_less__divide__eq__number__of1_7,axiom,
% 0.92/1.33 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.33 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.33 | ~ class_Int_Onumber(T_a)
% 0.92/1.33 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.33 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_b,T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_divide__less__eq__number__of1_7,axiom,
% 0.92/1.33 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.33 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.33 | ~ class_Int_Onumber(T_a)
% 0.92/1.33 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_a,T_a)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.92/1.33 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_less__divide__eq__number__of1_8,axiom,
% 0.92/1.33 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.33 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.33 | ~ class_Int_Onumber(T_a)
% 0.92/1.33 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_b,T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_divide__less__eq__number__of1_8,axiom,
% 0.92/1.33 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.33 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.33 | ~ class_Int_Onumber(T_a)
% 0.92/1.33 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_a,T_a)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_b,T_a)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_less__divide__eq__number__of1_6,axiom,
% 0.92/1.33 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.33 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.33 | ~ class_Int_Onumber(T_a)
% 0.92/1.33 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_b,T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_less__divide__eq__number__of1_0,axiom,
% 0.92/1.33 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.33 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.33 | ~ class_Int_Onumber(T_a)
% 0.92/1.33 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_b,T_a)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_divide__less__eq__number__of1_6,axiom,
% 0.92/1.33 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.33 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.33 | ~ class_Int_Onumber(T_a)
% 0.92/1.33 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_a,T_a)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_divide__less__eq__number__of1_0,axiom,
% 0.92/1.33 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.33 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.33 | ~ class_Int_Onumber(T_a)
% 0.92/1.33 | c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_a,T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_sgn__1__neg_0,axiom,
% 0.92/1.33 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.92/1.33 | c_HOL_Osgn__class_Osgn(V_a,T_a) != c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(T_a),T_a)
% 0.92/1.33 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_sgn__neg_0,axiom,
% 0.92/1.33 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.92/1.33 | c_HOL_Osgn__class_Osgn(V_a,T_a) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(T_a),T_a)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_sgn__if_2,axiom,
% 0.92/1.33 ( ~ class_Ring__and__Field_Osgn__if(T_a)
% 0.92/1.33 | c_HOL_Osgn__class_Osgn(V_x,T_a) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(T_a),T_a)
% 0.92/1.33 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a)
% 0.92/1.33 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_one__le__inverse__iff_2,axiom,
% 0.92/1.33 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.33 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.33 | c_lessequals(c_HOL_Oone__class_Oone(T_a),c_HOL_Oinverse__class_Oinverse(V_x,T_a),T_a)
% 0.92/1.33 | ~ c_lessequals(V_x,c_HOL_Oone__class_Oone(T_a),T_a)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_inverse__less__1__iff_1,axiom,
% 0.92/1.33 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.33 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.33 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_x,T_a),c_HOL_Oone__class_Oone(T_a),T_a)
% 0.92/1.33 | ~ c_lessequals(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_one__le__inverse__iff_0,axiom,
% 0.92/1.33 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.33 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.33 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a)
% 0.92/1.33 | ~ c_lessequals(c_HOL_Oone__class_Oone(T_a),c_HOL_Oinverse__class_Oinverse(V_x,T_a),T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_inverse__less__1__iff_0,axiom,
% 0.92/1.33 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.33 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.33 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_x,T_a)
% 0.92/1.33 | c_lessequals(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_x,T_a),c_HOL_Oone__class_Oone(T_a),T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_zero__less__power__eq__number__of_4,axiom,
% 0.92/1.33 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.92/1.33 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(V_x,c_Int_Onumber__class_Onumber__of(V_w,tc_nat),T_a),T_a)
% 0.92/1.33 | V_x = c_HOL_Ozero__class_Ozero(T_a)
% 0.92/1.33 | ~ c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(V_w,tc_nat),tc_nat) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_zero__less__power__eq__number__of_5,axiom,
% 0.92/1.33 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.92/1.33 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(V_x,c_Int_Onumber__class_Onumber__of(V_w,tc_nat),T_a),T_a)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a)
% 0.92/1.33 | c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(V_w,tc_nat),tc_nat) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_zero__less__power__eq__number__of_2,axiom,
% 0.92/1.33 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.92/1.33 | c_Int_Onumber__class_Onumber__of(V_w,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,tc_nat),T_a),T_a)
% 0.92/1.33 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_zero__less__power__eq_1,axiom,
% 0.92/1.33 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.92/1.33 | V_n = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(T_a),V_n,T_a),T_a)
% 0.92/1.33 | ~ c_Parity_Oeven__odd__class_Oeven(V_n,tc_nat) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_power__less__zero__eq__number__of_0,axiom,
% 0.92/1.33 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.92/1.33 | ~ c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(V_w,tc_nat),tc_nat)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(V_x,c_Int_Onumber__class_Onumber__of(V_w,tc_nat),T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_zero__less__power__eq__number__of_3,axiom,
% 0.92/1.33 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.92/1.33 | c_Int_Onumber__class_Onumber__of(V_w,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 0.92/1.33 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(V_x,c_Int_Onumber__class_Onumber__of(V_w,tc_nat),T_a),T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_zero__less__power__eq_0,axiom,
% 0.92/1.33 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.92/1.33 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a)
% 0.92/1.33 | c_Parity_Oeven__odd__class_Oeven(V_n,tc_nat)
% 0.92/1.33 | V_n = c_HOL_Ozero__class_Ozero(tc_nat)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(V_x,V_n,T_a),T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_power__less__zero__eq__number__of_2,axiom,
% 0.92/1.33 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.92/1.33 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(V_x,c_Int_Onumber__class_Onumber__of(V_w,tc_nat),T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.33 | c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(V_w,tc_nat),tc_nat) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_mult__less__le__imp__less_0,axiom,
% 0.92/1.33 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.92/1.33 | 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)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.92/1.33 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.92/1.33 | ~ c_lessequals(V_c,V_d,T_a)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_mult__le__less__imp__less_0,axiom,
% 0.92/1.33 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.92/1.33 | 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)
% 0.92/1.33 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a)
% 0.92/1.33 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_divide__strict__left__mono__neg_0,axiom,
% 0.92/1.33 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.33 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_c,V_a,T_a),c_HOL_Oinverse__class_Odivide(V_c,V_b,T_a),T_a)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_divide__strict__left__mono_0,axiom,
% 0.92/1.33 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.33 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_c,V_a,T_a),c_HOL_Oinverse__class_Odivide(V_c,V_b,T_a),T_a)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_less__divide__eq_7,axiom,
% 0.92/1.33 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.33 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.33 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.33 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_less__divide__eq_5,axiom,
% 0.92/1.33 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.33 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.33 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a)
% 0.92/1.33 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_less__divide__eq_4,axiom,
% 0.92/1.33 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.33 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.33 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a)
% 0.92/1.33 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_less__divide__eq_1,axiom,
% 0.92/1.33 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.33 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.33 | c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.33 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_divide__less__eq_7,axiom,
% 0.92/1.33 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.33 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.33 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.92/1.33 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_divide__less__eq_5,axiom,
% 0.92/1.33 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.33 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.33 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a)
% 0.92/1.33 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_divide__less__eq_4,axiom,
% 0.92/1.33 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.33 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.33 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a)
% 0.92/1.33 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_divide__less__eq_1,axiom,
% 0.92/1.33 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.33 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.33 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.33 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_less__divide__eq_9,axiom,
% 0.92/1.33 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.33 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.33 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_less__divide__eq_8,axiom,
% 0.92/1.33 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.33 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.33 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_divide__less__eq_9,axiom,
% 0.92/1.33 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.33 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.33 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_divide__less__eq_8,axiom,
% 0.92/1.33 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.33 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.33 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_mult__strict__mono_H_0,axiom,
% 0.92/1.33 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.92/1.33 | 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)
% 0.92/1.33 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.92/1.33 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_mult__imp__less__div__pos_0,axiom,
% 0.92/1.33 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.33 | c_HOL_Oord__class_Oless(V_z,c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),T_a)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_z,V_y,T_a),V_x,T_a)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_mult__imp__div__pos__less_0,axiom,
% 0.92/1.33 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.33 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),V_z,T_a)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(V_x,c_HOL_Otimes__class_Otimes(V_z,V_y,T_a),T_a)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_less__divide__eq_6,axiom,
% 0.92/1.33 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.33 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.33 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_less__divide__eq_0,axiom,
% 0.92/1.33 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.33 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.33 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_divide__less__eq_6,axiom,
% 0.92/1.33 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.33 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.33 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_divide__less__eq_0,axiom,
% 0.92/1.33 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.33 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.33 | c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_mult__less__imp__less__right_0,axiom,
% 0.92/1.33 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.92/1.33 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.92/1.33 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_mult__less__imp__less__left_0,axiom,
% 0.92/1.33 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.92/1.33 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.92/1.33 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_mult__right__less__imp__less_0,axiom,
% 0.92/1.33 ( ~ class_Ring__and__Field_Oordered__semiring(T_a)
% 0.92/1.33 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.92/1.33 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_mult__nonneg__nonneg_0,axiom,
% 0.92/1.33 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 0.92/1.33 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 0.92/1.33 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.92/1.33 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_zero__le__mult__iff_0,axiom,
% 0.92/1.33 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.92/1.33 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.33 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.92/1.33 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_zero__le__mult__iff_1,axiom,
% 0.92/1.33 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.92/1.33 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.33 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.92/1.33 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_zero__le__mult__iff_2,axiom,
% 0.92/1.33 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.92/1.33 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.33 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.92/1.33 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_zero__le__mult__iff_3,axiom,
% 0.92/1.33 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.92/1.33 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.33 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.92/1.33 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_mult__mono_0,axiom,
% 0.92/1.33 ( ~ class_Ring__and__Field_Opordered__semiring(T_a)
% 0.92/1.33 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_d,T_a),T_a)
% 0.92/1.33 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.92/1.33 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.92/1.33 | ~ c_lessequals(V_c,V_d,T_a)
% 0.92/1.33 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_mult__mono_H_0,axiom,
% 0.92/1.33 ( ~ class_Ring__and__Field_Opordered__semiring(T_a)
% 0.92/1.33 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_d,T_a),T_a)
% 0.92/1.33 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.92/1.33 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.92/1.33 | ~ c_lessequals(V_c,V_d,T_a)
% 0.92/1.33 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_div__mult__mult1_0,axiom,
% 0.92/1.33 ( ~ class_Divides_Osemiring__div(T_a)
% 0.92/1.33 | c_Divides_Odiv__class_Odiv(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_Divides_Odiv__class_Odiv(V_a,V_b,T_a)
% 0.92/1.33 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_div__mult__mult2_0,axiom,
% 0.92/1.33 ( ~ class_Divides_Osemiring__div(T_a)
% 0.92/1.33 | c_Divides_Odiv__class_Odiv(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_Divides_Odiv__class_Odiv(V_a,V_b,T_a)
% 0.92/1.33 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_mult__le__0__iff_4,axiom,
% 0.92/1.33 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.92/1.33 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.33 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.33 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_mult__le__0__iff_5,axiom,
% 0.92/1.33 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.92/1.33 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.33 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.92/1.33 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_split__mult__neg__le_0,axiom,
% 0.92/1.33 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 0.92/1.33 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.33 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.33 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_split__mult__neg__le_1,axiom,
% 0.92/1.33 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 0.92/1.33 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.33 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.92/1.33 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_mult__nonneg__nonpos_0,axiom,
% 0.92/1.33 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 0.92/1.33 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.33 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.33 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_mult__nonpos__nonneg_0,axiom,
% 0.92/1.33 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 0.92/1.33 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.33 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.92/1.33 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_mult__nonneg__nonpos2_0,axiom,
% 0.92/1.33 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 0.92/1.33 | c_lessequals(c_HOL_Otimes__class_Otimes(V_b,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.33 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.33 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_nonzero__inverse__mult__distrib_0,axiom,
% 0.92/1.33 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 0.92/1.33 | c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(V_b,T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a)
% 0.92/1.33 | V_b = c_HOL_Ozero__class_Ozero(T_a)
% 0.92/1.33 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_eq__divide__eq_4,axiom,
% 0.92/1.33 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.92/1.33 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.33 | c_HOL_Ozero__class_Ozero(T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a),V_c,T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_divide__eq__eq_0,axiom,
% 0.92/1.33 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.92/1.33 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.33 | V_b = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_c,T_a)
% 0.92/1.33 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_eq__divide__eq_0,axiom,
% 0.92/1.33 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.92/1.33 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.33 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_c,T_a) = V_b
% 0.92/1.33 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_frac__eq__eq_0,axiom,
% 0.92/1.33 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.92/1.33 | c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a) != c_HOL_Oinverse__class_Odivide(V_w,V_z,T_a)
% 0.92/1.33 | V_z = c_HOL_Ozero__class_Ozero(T_a)
% 0.92/1.33 | V_y = c_HOL_Ozero__class_Ozero(T_a)
% 0.92/1.33 | c_HOL_Otimes__class_Otimes(V_x,V_z,T_a) = c_HOL_Otimes__class_Otimes(V_w,V_y,T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_frac__eq__eq_1,axiom,
% 0.92/1.33 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.92/1.33 | c_HOL_Otimes__class_Otimes(V_x,V_z,T_a) != c_HOL_Otimes__class_Otimes(V_w,V_y,T_a)
% 0.92/1.33 | V_z = c_HOL_Ozero__class_Ozero(T_a)
% 0.92/1.33 | V_y = c_HOL_Ozero__class_Ozero(T_a)
% 0.92/1.33 | c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a) = c_HOL_Oinverse__class_Odivide(V_w,V_z,T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_divide__eq__eq_4,axiom,
% 0.92/1.33 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.92/1.33 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.33 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a),V_c,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_left__minus_0,axiom,
% 0.92/1.33 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.92/1.33 | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_right__minus_0,axiom,
% 0.92/1.33 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.92/1.33 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_ab__left__minus_0,axiom,
% 0.92/1.33 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.92/1.33 | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_eq__neg__iff__add__eq__0_0,axiom,
% 0.92/1.33 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.92/1.33 | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_b,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_add__nonneg__eq__0__iff_2,axiom,
% 0.92/1.33 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.92/1.33 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.33 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.33 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_add__increasing_0,axiom,
% 0.92/1.33 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.92/1.33 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.92/1.33 | c_lessequals(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a)
% 0.92/1.33 | ~ c_lessequals(V_b,V_c,T_a)
% 0.92/1.33 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_add__increasing2_0,axiom,
% 0.92/1.33 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.92/1.33 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.92/1.33 | c_lessequals(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a)
% 0.92/1.33 | ~ c_lessequals(V_b,V_a,T_a)
% 0.92/1.33 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_add__nonneg__eq__0__iff_0,axiom,
% 0.92/1.33 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.92/1.33 | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.92/1.33 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)
% 0.92/1.33 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a)
% 0.92/1.33 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_add__nonneg__eq__0__iff_1,axiom,
% 0.92/1.33 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.92/1.33 | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.92/1.33 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)
% 0.92/1.33 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a)
% 0.92/1.33 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_add__nonneg__nonneg_0,axiom,
% 0.92/1.33 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.92/1.33 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a)
% 0.92/1.33 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.92/1.33 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_zero__le__double__add__iff__zero__le__single__add_0,axiom,
% 0.92/1.33 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.92/1.33 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.92/1.33 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_zero__le__double__add__iff__zero__le__single__add_1,axiom,
% 0.92/1.33 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.92/1.33 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),T_a)
% 0.92/1.33 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_minus__unique_0,axiom,
% 0.92/1.33 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.92/1.33 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.92/1.33 | c_HOL_Ouminus__class_Ouminus(V_a,T_a) = V_b ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_eq__neg__iff__add__eq__0_1,axiom,
% 0.92/1.33 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.92/1.33 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.92/1.33 | V_a = c_HOL_Ouminus__class_Ouminus(V_b,T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_double__add__le__zero__iff__single__add__le__zero_0,axiom,
% 0.92/1.33 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.92/1.33 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.33 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_double__add__le__zero__iff__single__add__le__zero_1,axiom,
% 0.92/1.33 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.92/1.33 | c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.33 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_add__nonpos__nonpos_0,axiom,
% 0.92/1.33 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.92/1.33 | c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.33 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.33 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_add__le__less__mono_0,axiom,
% 0.92/1.33 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 0.92/1.33 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_d,T_a),T_a)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a)
% 0.92/1.33 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_add__less__le__mono_0,axiom,
% 0.92/1.33 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 0.92/1.33 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_d,T_a),T_a)
% 0.92/1.33 | ~ c_lessequals(V_c,V_d,T_a)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_divide__self__if_1,axiom,
% 0.92/1.33 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.92/1.33 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.33 | c_HOL_Oinverse__class_Odivide(V_a,V_a,T_a) = c_HOL_Oone__class_Oone(T_a)
% 0.92/1.33 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_divide__self_0,axiom,
% 0.92/1.33 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.92/1.33 | c_HOL_Oinverse__class_Odivide(V_a,V_a,T_a) = c_HOL_Oone__class_Oone(T_a)
% 0.92/1.33 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_right__inverse__eq_1,axiom,
% 0.92/1.33 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.92/1.33 | V_x = c_HOL_Ozero__class_Ozero(T_a)
% 0.92/1.33 | c_HOL_Oinverse__class_Odivide(V_x,V_x,T_a) = c_HOL_Oone__class_Oone(T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_right__inverse__eq_0,axiom,
% 0.92/1.33 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.92/1.33 | c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a) != c_HOL_Oone__class_Oone(T_a)
% 0.92/1.33 | V_b = c_HOL_Ozero__class_Ozero(T_a)
% 0.92/1.33 | V_a = V_b ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_exp__zero_0,axiom,
% 0.92/1.33 ( ~ class_SEQ_Obanach(T_a)
% 0.92/1.33 | ~ class_RealVector_Oreal__normed__field(T_a)
% 0.92/1.33 | c_Transcendental_Oexp(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Oone__class_Oone(T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_div__self_0,axiom,
% 0.92/1.33 ( ~ class_Divides_Osemiring__div(T_a)
% 0.92/1.33 | c_Divides_Odiv__class_Odiv(V_a,V_a,T_a) = c_HOL_Oone__class_Oone(T_a)
% 0.92/1.33 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_zero__le__one_0,axiom,
% 0.92/1.33 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.92/1.33 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oone__class_Oone(T_a),T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_not__one__le__zero_0,axiom,
% 0.92/1.33 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.92/1.33 | ~ c_lessequals(c_HOL_Oone__class_Oone(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_exp__add_0,axiom,
% 0.92/1.33 ( ~ class_SEQ_Obanach(T_a)
% 0.92/1.33 | ~ class_RealVector_Oreal__normed__field(T_a)
% 0.92/1.33 | c_Transcendental_Oexp(c_HOL_Oplus__class_Oplus(V_x,V_y,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_Transcendental_Oexp(V_x,T_a),c_Transcendental_Oexp(V_y,T_a),T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_mult_Oprod__diff__prod_0,axiom,
% 0.92/1.33 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 0.92/1.33 | c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_x,V_a,T_a),c_HOL_Ominus__class_Ominus(V_y,V_b,T_a),T_a),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_x,V_a,T_a),V_b,T_a),T_a),c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ominus__class_Ominus(V_y,V_b,T_a),T_a),T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_right__distrib__number__of_0,axiom,
% 0.92/1.33 ( ~ class_Ring__and__Field_Osemiring(T_a)
% 0.92/1.33 | ~ class_Int_Onumber(T_a)
% 0.92/1.33 | c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_v,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_v,T_a),V_b,T_a),c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_v,T_a),V_c,T_a),T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_eq__add__iff2_1,axiom,
% 0.92/1.33 ( ~ class_Ring__and__Field_Oring(T_a)
% 0.92/1.33 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_b,V_a,T_a),V_e,T_a),V_d,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_mult__exp__exp_0,axiom,
% 0.92/1.33 ( ~ class_SEQ_Obanach(T_a)
% 0.92/1.33 | ~ class_RealVector_Oreal__normed__field(T_a)
% 0.92/1.33 | c_HOL_Otimes__class_Otimes(c_Transcendental_Oexp(V_x,T_a),c_Transcendental_Oexp(V_y,T_a),T_a) = c_Transcendental_Oexp(c_HOL_Oplus__class_Oplus(V_x,V_y,T_a),T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_eq__add__iff1_1,axiom,
% 0.92/1.33 ( ~ class_Ring__and__Field_Oring(T_a)
% 0.92/1.33 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_e,T_a),V_c,T_a),T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_eq__add__iff1_0,axiom,
% 0.92/1.33 ( ~ class_Ring__and__Field_Oring(T_a)
% 0.92/1.33 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a)
% 0.92/1.33 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_e,T_a),V_c,T_a) = V_d ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_eq__add__iff2_0,axiom,
% 0.92/1.33 ( ~ class_Ring__and__Field_Oring(T_a)
% 0.92/1.33 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a)
% 0.92/1.33 | V_c = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_b,V_a,T_a),V_e,T_a),V_d,T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_left__distrib__number__of_0,axiom,
% 0.92/1.33 ( ~ class_Ring__and__Field_Osemiring(T_a)
% 0.92/1.33 | ~ class_Int_Onumber(T_a)
% 0.92/1.33 | c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_Int_Onumber__class_Onumber__of(V_v,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_v,T_a),T_a),c_HOL_Otimes__class_Otimes(V_b,c_Int_Onumber__class_Onumber__of(V_v,T_a),T_a),T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_one__less__inverse__iff_1,axiom,
% 0.92/1.33 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.33 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.33 | c_HOL_Oord__class_Oless(V_x,c_HOL_Oone__class_Oone(T_a),T_a)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),c_HOL_Oinverse__class_Oinverse(V_x,T_a),T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_inverse__less__1__iff_2,axiom,
% 0.92/1.33 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/1.33 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/1.33 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_x,T_a),c_HOL_Oone__class_Oone(T_a),T_a)
% 0.92/1.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_x,T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_inverse__unique_0,axiom,
% 0.92/1.33 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 0.92/1.33 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) != c_HOL_Oone__class_Oone(T_a)
% 0.92/1.33 | c_HOL_Oinverse__class_Oinverse(V_a,T_a) = V_b ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_class__ring_Oneg__mul_0,axiom,
% 0.92/1.33 ( ~ class_Int_Onumber__ring(T_a)
% 0.92/1.33 | c_HOL_Ouminus__class_Ouminus(V_x,T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(T_a),T_a),V_x,T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_power__eq__0__iff__number__of_0,axiom,
% 0.92/1.33 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a)
% 0.92/1.33 | ~ class_Ring__and__Field_Ono__zero__divisors(T_a)
% 0.92/1.33 | ~ class_Ring__and__Field_Omult__zero(T_a)
% 0.92/1.33 | ~ class_Power_Opower(T_a)
% 0.92/1.33 | c_Power_Opower__class_Opower(V_a,c_Int_Onumber__class_Onumber__of(V_w,tc_nat),T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.92/1.33 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_power__le__zero__eq_3,axiom,
% 0.92/1.33 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.92/1.33 | V_x = c_HOL_Ozero__class_Ozero(T_a)
% 0.92/1.33 | c_lessequals(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/1.33 | ~ c_lessequals(c_Power_Opower__class_Opower(V_x,V_n,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_power__mono_0,axiom,
% 0.92/1.33 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.92/1.33 | c_lessequals(c_Power_Opower__class_Opower(V_a,V_n,T_a),c_Power_Opower__class_Opower(V_b,V_n,T_a),T_a)
% 0.92/1.33 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.92/1.33 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_power__eq__0__iff_1,axiom,
% 0.92/1.33 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a)
% 0.92/1.33 | ~ class_Ring__and__Field_Ono__zero__divisors(T_a)
% 0.92/1.33 | ~ class_Ring__and__Field_Omult__zero(T_a)
% 0.92/1.33 | ~ class_Power_Opower(T_a)
% 0.92/1.33 | c_Power_Opower__class_Opower(V_a,c_HOL_Ozero__class_Ozero(tc_nat),T_a) != c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_power__0__Suc_0,axiom,
% 0.92/1.33 ( ~ class_Ring__and__Field_Osemiring__0(T_a)
% 0.92/1.33 | ~ class_Power_Opower(T_a)
% 0.92/1.33 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(T_a),c_Suc(V_n),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.92/1.33
% 0.92/1.33 cnf(cls_power__eq__0__iff_2,axiom,
% 0.92/1.33 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a)
% 0.92/1.33 | ~ class_Ring__and__Field_Ono__zero__divisors(T_a)
% 0.92/1.33 | ~ class_Ring__and__Field_Omult__zero(T_a)
% 1.09/1.33 | ~ class_Power_Opower(T_a)
% 1.09/1.33 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(T_a),V_n,T_a) = c_HOL_Ozero__class_Ozero(T_a)
% 1.09/1.33 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 1.09/1.33
% 1.09/1.33 cnf(cls_power__0__left_1,axiom,
% 1.09/1.33 ( ~ class_Ring__and__Field_Osemiring__0(T_a)
% 1.09/1.33 | ~ class_Power_Opower(T_a)
% 1.09/1.33 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(T_a),V_n,T_a) = c_HOL_Ozero__class_Ozero(T_a)
% 1.09/1.33 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ).
% 1.09/1.33
% 1.09/1.33 cnf(cls_zero__le__power__iff_1,axiom,
% 1.09/1.33 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 1.09/1.33 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a)
% 1.09/1.33 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 1.09/1.33
% 1.09/1.33 cnf(cls_zero__le__power_0,axiom,
% 1.09/1.33 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 1.09/1.33 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a)
% 1.09/1.33 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 1.09/1.33
% 1.09/1.33 cnf(cls_nonzero__power__inverse_0,axiom,
% 1.09/1.33 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 1.09/1.33 | c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(V_a,T_a),V_n,T_a)
% 1.09/1.33 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.09/1.33
% 1.09/1.33 cnf(cls_nonzero__power__divide_0,axiom,
% 1.09/1.33 ( ~ class_Ring__and__Field_Ofield(T_a)
% 1.09/1.33 | c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),V_n,T_a) = c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(V_a,V_n,T_a),c_Power_Opower__class_Opower(V_b,V_n,T_a),T_a)
% 1.09/1.33 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.09/1.33
% 1.09/1.33 cnf(cls_class__semiring_Osemiring__rules_I35_J_0,axiom,
% 1.09/1.33 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.09/1.33 | c_Power_Opower__class_Opower(V_x,c_Suc(V_q),T_a) = c_HOL_Otimes__class_Otimes(V_x,c_Power_Opower__class_Opower(V_x,V_q,T_a),T_a) ) ).
% 1.09/1.33
% 1.09/1.33 cnf(cls_power__Suc_0,axiom,
% 1.09/1.33 ( ~ class_Power_Opower(T_a)
% 1.09/1.33 | c_Power_Opower__class_Opower(V_a,c_Suc(V_n),T_a) = c_HOL_Otimes__class_Otimes(V_a,c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a) ) ).
% 1.09/1.33
% 1.09/1.33 cnf(cls_power__Suc2_0,axiom,
% 1.09/1.33 ( ~ class_OrderedGroup_Omonoid__mult(T_a)
% 1.09/1.33 | c_Power_Opower__class_Opower(V_a,c_Suc(V_n),T_a) = c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_a,V_n,T_a),V_a,T_a) ) ).
% 1.09/1.33
% 1.09/1.33 cnf(cls_class__semiring_Opwr__Suc_0,axiom,
% 1.09/1.33 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.09/1.33 | c_Power_Opower__class_Opower(V_x,c_Suc(V_n),T_a) = c_HOL_Otimes__class_Otimes(V_x,c_Power_Opower__class_Opower(V_x,V_n,T_a),T_a) ) ).
% 1.09/1.33
% 1.09/1.33 cnf(cls_class__semiring_Osemiring__rules_I27_J_0,axiom,
% 1.09/1.33 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.09/1.33 | c_HOL_Otimes__class_Otimes(V_x,c_Power_Opower__class_Opower(V_x,V_q,T_a),T_a) = c_Power_Opower__class_Opower(V_x,c_Suc(V_q),T_a) ) ).
% 1.09/1.33
% 1.09/1.33 cnf(cls_class__semiring_Osemiring__rules_I28_J_0,axiom,
% 1.09/1.33 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.09/1.33 | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_x,V_q,T_a),V_x,T_a) = c_Power_Opower__class_Opower(V_x,c_Suc(V_q),T_a) ) ).
% 1.09/1.33
% 1.09/1.33 cnf(cls_power__one__over_0,axiom,
% 1.09/1.33 ( ~ class_Ring__and__Field_Ofield(T_a)
% 1.09/1.33 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.09/1.33 | c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),V_a,T_a),V_n,T_a) ) ).
% 1.09/1.33
% 1.09/1.33 cnf(cls_power__0_0,axiom,
% 1.09/1.33 ( ~ class_Power_Opower(T_a)
% 1.09/1.33 | c_Power_Opower__class_Opower(V_a,c_HOL_Ozero__class_Ozero(tc_nat),T_a) = c_HOL_Oone__class_Oone(T_a) ) ).
% 1.09/1.33
% 1.09/1.33 cnf(cls_class__semiring_Opwr__0_0,axiom,
% 1.09/1.33 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.09/1.33 | c_Power_Opower__class_Opower(V_x,c_HOL_Ozero__class_Ozero(tc_nat),T_a) = c_HOL_Oone__class_Oone(T_a) ) ).
% 1.09/1.33
% 1.09/1.33 cnf(cls_one__le__power_0,axiom,
% 1.09/1.33 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 1.09/1.33 | c_lessequals(c_HOL_Oone__class_Oone(T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a)
% 1.09/1.33 | ~ c_lessequals(c_HOL_Oone__class_Oone(T_a),V_a,T_a) ) ).
% 1.09/1.33
% 1.09/1.33 cnf(cls_exp__gt__zero_0,axiom,
% 1.09/1.33 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oexp(V_x,tc_RealDef_Oreal),tc_RealDef_Oreal) ).
% 1.09/1.33
% 1.09/1.33 cnf(cls_not__exp__less__zero_0,axiom,
% 1.09/1.33 ~ c_HOL_Oord__class_Oless(c_Transcendental_Oexp(V_x,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ).
% 1.09/1.33
% 1.09/1.33 cnf(cls_ln__less__self_0,axiom,
% 1.09/1.33 ( c_HOL_Oord__class_Oless(c_Transcendental_Oln(V_x),V_x,tc_RealDef_Oreal)
% 1.09/1.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ).
% 1.09/1.33
% 1.09/1.33 cnf(cls_ln__inj__iff_0,axiom,
% 1.09/1.33 ( c_Transcendental_Oln(V_x) != c_Transcendental_Oln(V_y)
% 1.09/1.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_y,tc_RealDef_Oreal)
% 1.09/1.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal)
% 1.09/1.33 | V_x = V_y ) ).
% 1.09/1.33
% 1.09/1.33 cnf(cls_ln__less__cancel__iff_0,axiom,
% 1.09/1.33 ( c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal)
% 1.09/1.33 | ~ c_HOL_Oord__class_Oless(c_Transcendental_Oln(V_x),c_Transcendental_Oln(V_y),tc_RealDef_Oreal)
% 1.09/1.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_y,tc_RealDef_Oreal)
% 1.09/1.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ).
% 1.09/1.33
% 1.09/1.33 cnf(cls_ln__less__cancel__iff_1,axiom,
% 1.09/1.33 ( c_HOL_Oord__class_Oless(c_Transcendental_Oln(V_x),c_Transcendental_Oln(V_y),tc_RealDef_Oreal)
% 1.09/1.33 | ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal)
% 1.09/1.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_y,tc_RealDef_Oreal)
% 1.09/1.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ).
% 1.09/1.33
% 1.09/1.33 cnf(cls_real__sum__squares__cancel_0,axiom,
% 1.09/1.33 ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_y,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 1.09/1.33 | V_x = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ).
% 1.09/1.33
% 1.09/1.33 cnf(cls_real__sum__squares__cancel2_0,axiom,
% 1.09/1.33 ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_y,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 1.09/1.33 | V_y = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ).
% 1.09/1.33
% 1.09/1.33 cnf(cls_real__two__squares__add__zero__iff_2,axiom,
% 1.09/1.33 c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ).
% 1.09/1.33
% 1.09/1.33 cnf(cls_exp__eq__one__iff_0,axiom,
% 1.09/1.33 ( c_Transcendental_Oexp(V_x,tc_RealDef_Oreal) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
% 1.09/1.33 | V_x = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ).
% 1.09/1.33
% 1.09/1.33 cnf(cls_ln__one_0,axiom,
% 1.09/1.33 c_Transcendental_Oln(c_HOL_Oone__class_Oone(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ).
% 1.09/1.33
% 1.09/1.33 cnf(cls_exp__eq__one__iff_1,axiom,
% 1.09/1.33 c_Transcendental_Oexp(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ).
% 1.09/1.33
% 1.09/1.33 cnf(cls_norm__ge__zero_0,axiom,
% 1.09/1.33 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 1.09/1.33 | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(V_x,T_a),tc_RealDef_Oreal) ) ).
% 1.09/1.33
% 1.09/1.33 cnf(cls_Suc__eq__plus1_0,axiom,
% 1.09/1.33 c_Suc(V_n) = c_HOL_Oplus__class_Oplus(V_n,c_HOL_Oone__class_Oone(tc_nat),tc_nat) ).
% 1.09/1.33
% 1.09/1.33 cnf(cls_Suc__eq__plus1__left_0,axiom,
% 1.09/1.33 c_Suc(V_n) = c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),V_n,tc_nat) ).
% 1.09/1.33
% 1.09/1.33 cnf(cls_realpow__num__eq__if_0,axiom,
% 1.09/1.33 c_Power_Opower__class_Opower(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ).
% 1.09/1.33
% 1.09/1.33 cnf(cls_mult__left__less__imp__less_0,axiom,
% 1.09/1.33 ( ~ class_Ring__and__Field_Oordered__semiring(T_a)
% 1.09/1.33 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 1.09/1.33 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 1.09/1.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) ) ).
% 1.09/1.33
% 1.09/1.33 cnf(cls_mult__strict__mono_0,axiom,
% 1.09/1.33 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 1.09/1.33 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_d,T_a),T_a)
% 1.09/1.33 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 1.09/1.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 1.09/1.33 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a)
% 1.09/1.33 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 1.09/1.33
% 1.09/1.33 cnf(cls_mult__right__le__imp__le_0,axiom,
% 1.09/1.33 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 1.09/1.33 | c_lessequals(V_a,V_b,T_a)
% 1.09/1.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 1.09/1.33 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ).
% 1.09/1.33
% 1.09/1.33 cnf(cls_mult__left__le__imp__le_0,axiom,
% 1.09/1.33 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 1.09/1.33 | c_lessequals(V_a,V_b,T_a)
% 1.09/1.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 1.09/1.33 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) ) ).
% 1.09/1.33
% 1.09/1.33 cnf(cls_mult__le__cancel__left__pos_1,axiom,
% 1.09/1.33 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.09/1.33 | c_lessequals(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 1.09/1.33 | ~ c_lessequals(V_a,V_b,T_a)
% 1.09/1.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 1.09/1.33
% 1.09/1.33 cnf(cls_mult__le__cancel__left__pos_0,axiom,
% 1.09/1.33 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.09/1.33 | c_lessequals(V_a,V_b,T_a)
% 1.09/1.33 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 1.09/1.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 1.09/1.33
% 1.09/1.33 cnf(cls_mult__le__cancel__left__neg_1,axiom,
% 1.09/1.33 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.09/1.33 | c_lessequals(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 1.09/1.33 | ~ c_lessequals(V_b,V_a,T_a)
% 1.09/1.33 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.09/1.33
% 1.09/1.33 cnf(cls_mult__le__cancel__left__neg_0,axiom,
% 1.09/1.33 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.09/1.33 | c_lessequals(V_b,V_a,T_a)
% 1.09/1.33 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 1.09/1.33 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.09/1.33
% 1.09/1.33 cnf(cls_add__strict__increasing_0,axiom,
% 1.09/1.33 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 1.09/1.33 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 1.09/1.33 | c_HOL_Oord__class_Oless(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a)
% 1.09/1.33 | ~ c_lessequals(V_b,V_c,T_a)
% 1.09/1.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 1.09/1.33
% 1.09/1.33 cnf(cls_add__pos__nonneg_0,axiom,
% 1.09/1.33 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 1.09/1.33 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a)
% 1.09/1.33 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 1.09/1.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 1.09/1.33
% 1.09/1.33 cnf(cls_add__nonneg__pos_0,axiom,
% 1.09/1.33 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 1.09/1.33 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a)
% 1.09/1.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 1.09/1.33 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 1.09/1.33
% 1.09/1.33 cnf(cls_add__nonpos__neg_0,axiom,
% 1.09/1.33 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 1.09/1.33 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.09/1.33 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.09/1.33 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.09/1.33
% 1.09/1.33 cnf(cls_add__neg__nonpos_0,axiom,
% 1.09/1.33 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 1.09/1.33 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.09/1.33 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.09/1.33 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.09/1.33
% 1.09/1.33 cnf(cls_add__strict__increasing2_0,axiom,
% 1.09/1.33 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 1.09/1.33 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 1.09/1.33 | c_HOL_Oord__class_Oless(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a)
% 1.09/1.33 | ~ c_HOL_Oord__class_Oless(V_b,V_c,T_a)
% 1.09/1.33 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 1.09/1.33
% 1.09/1.33 cnf(cls_add__frac__eq_0,axiom,
% 1.09/1.33 ( ~ class_Ring__and__Field_Ofield(T_a)
% 1.09/1.33 | c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),c_HOL_Oinverse__class_Odivide(V_w,V_z,T_a),T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_z,T_a),c_HOL_Otimes__class_Otimes(V_w,V_y,T_a),T_a),c_HOL_Otimes__class_Otimes(V_y,V_z,T_a),T_a)
% 1.09/1.33 | V_z = c_HOL_Ozero__class_Ozero(T_a)
% 1.09/1.33 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.09/1.33
% 1.09/1.33 cnf(cls_div__mult__self2_0,axiom,
% 1.09/1.33 ( ~ class_Divides_Osemiring__div(T_a)
% 1.09/1.33 | c_Divides_Odiv__class_Odiv(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_HOL_Oplus__class_Oplus(V_c,c_Divides_Odiv__class_Odiv(V_a,V_b,T_a),T_a)
% 1.09/1.33 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.09/1.33
% 1.09/1.33 cnf(cls_div__mult__self1_0,axiom,
% 1.09/1.33 ( ~ class_Divides_Osemiring__div(T_a)
% 1.09/1.33 | c_Divides_Odiv__class_Odiv(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_HOL_Oplus__class_Oplus(V_c,c_Divides_Odiv__class_Odiv(V_a,V_b,T_a),T_a)
% 1.09/1.33 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.09/1.33
% 1.09/1.33 cnf(cls_add__num__frac_0,axiom,
% 1.09/1.33 ( ~ class_Ring__and__Field_Ofield(T_a)
% 1.09/1.33 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.09/1.33 | c_HOL_Oplus__class_Oplus(V_z,c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(V_x,c_HOL_Otimes__class_Otimes(V_z,V_y,T_a),T_a),V_y,T_a)
% 1.09/1.33 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.09/1.33
% 1.09/1.33 cnf(cls_add__frac__num_0,axiom,
% 1.09/1.33 ( ~ class_Ring__and__Field_Ofield(T_a)
% 1.09/1.33 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.09/1.33 | c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),V_z,T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(V_x,c_HOL_Otimes__class_Otimes(V_z,V_y,T_a),T_a),V_y,T_a)
% 1.09/1.33 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.09/1.33
% 1.09/1.33 cnf(cls_division__ring__inverse__add_0,axiom,
% 1.09/1.33 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 1.09/1.33 | c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a),c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a)
% 1.09/1.33 | V_b = c_HOL_Ozero__class_Ozero(T_a)
% 1.09/1.33 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.09/1.33
% 1.09/1.33 cnf(cls_inverse__add_0,axiom,
% 1.09/1.33 ( ~ class_Ring__and__Field_Ofield(T_a)
% 1.09/1.33 | c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a),c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a)
% 1.09/1.33 | V_b = c_HOL_Ozero__class_Ozero(T_a)
% 1.09/1.33 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.09/1.33
% 1.09/1.33 cnf(cls_sum__squares__le__zero__iff_2,axiom,
% 1.09/1.33 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.09/1.33 | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a),T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.09/1.33
% 1.09/1.33 cnf(cls_sum__squares__ge__zero_0,axiom,
% 1.09/1.33 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.09/1.33 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,T_a),c_HOL_Otimes__class_Otimes(V_y,V_y,T_a),T_a),T_a) ) ).
% 1.09/1.33
% 1.09/1.33 cnf(cls_sum__squares__le__zero__iff_1,axiom,
% 1.09/1.33 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.09/1.33 | V_y = c_HOL_Ozero__class_Ozero(T_a)
% 1.09/1.33 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,T_a),c_HOL_Otimes__class_Otimes(V_y,V_y,T_a),T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.09/1.33
% 1.09/1.33 cnf(cls_sum__squares__le__zero__iff_0,axiom,
% 1.09/1.33 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.09/1.33 | V_x = c_HOL_Ozero__class_Ozero(T_a)
% 1.09/1.33 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,T_a),c_HOL_Otimes__class_Otimes(V_y,V_y,T_a),T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.09/1.33
% 1.09/1.33 cnf(cls_sgn__1__pos_0,axiom,
% 1.09/1.33 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 1.09/1.33 | c_HOL_Osgn__class_Osgn(V_a,T_a) != c_HOL_Oone__class_Oone(T_a)
% 1.09/1.33 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 1.09/1.33
% 1.09/1.33 cnf(cls_sgn__pos_0,axiom,
% 1.09/1.33 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 1.09/1.33 | c_HOL_Osgn__class_Osgn(V_a,T_a) = c_HOL_Oone__class_Oone(T_a)
% 1.09/1.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 1.09/1.33
% 1.09/1.33 cnf(cls_zero__less__divide__1__iff_1,axiom,
% 1.09/1.33 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.09/1.33 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.09/1.33 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),V_b,T_a),T_a)
% 1.09/1.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) ) ).
% 1.09/1.33
% 1.09/1.33 cnf(cls_zero__less__divide__1__iff_0,axiom,
% 1.09/1.33 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.09/1.33 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.09/1.33 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 1.09/1.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),V_b,T_a),T_a) ) ).
% 1.09/1.33
% 1.09/1.33 cnf(cls_one__less__inverse__iff_2,axiom,
% 1.09/1.33 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.09/1.33 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.09/1.33 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),c_HOL_Oinverse__class_Oinverse(V_x,T_a),T_a)
% 1.09/1.33 | ~ c_HOL_Oord__class_Oless(V_x,c_HOL_Oone__class_Oone(T_a),T_a)
% 1.09/1.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ).
% 1.09/1.33
% 1.09/1.33 cnf(cls_divide__less__0__1__iff_1,axiom,
% 1.09/1.33 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.09/1.33 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.09/1.33 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.09/1.33 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.09/1.33
% 1.09/1.33 cnf(cls_divide__less__0__1__iff_0,axiom,
% 1.09/1.33 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.09/1.33 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.09/1.33 | c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.09/1.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.09/1.33
% 1.09/1.33 cnf(cls_one__less__inverse__iff_0,axiom,
% 1.09/1.33 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.09/1.33 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 1.09/1.33 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a)
% 1.09/1.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),c_HOL_Oinverse__class_Oinverse(V_x,T_a),T_a) ) ).
% 1.09/1.33
% 1.09/1.33 cnf(cls_sgn__if_1,axiom,
% 1.09/1.33 ( ~ class_Ring__and__Field_Osgn__if(T_a)
% 1.09/1.33 | c_HOL_Osgn__class_Osgn(V_x,T_a) = c_HOL_Oone__class_Oone(T_a)
% 1.09/1.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a)
% 1.09/1.33 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.09/1.33
% 1.09/1.33 cnf(cls_less__add__iff2_1,axiom,
% 1.09/1.33 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 1.09/1.33 | 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)
% 1.09/1.33 | ~ 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) ) ).
% 1.09/1.33
% 1.09/1.33 cnf(cls_less__add__iff2_0,axiom,
% 1.09/1.33 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 1.09/1.33 | 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)
% 1.09/1.33 | ~ 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) ) ).
% 1.09/1.33
% 1.09/1.33 cnf(cls_less__add__iff1_1,axiom,
% 1.09/1.33 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 1.09/1.33 | 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)
% 1.09/1.33 | ~ 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) ) ).
% 1.09/1.33
% 1.09/1.33 cnf(cls_less__add__iff1_0,axiom,
% 1.09/1.33 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 1.09/1.33 | 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)
% 1.09/1.33 | ~ 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) ) ).
% 1.09/1.33
% 1.09/1.33 cnf(cls_mult__right__le__one__le_0,axiom,
% 1.09/1.33 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 1.09/1.33 | c_lessequals(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),V_x,T_a)
% 1.09/1.33 | ~ c_lessequals(V_y,c_HOL_Oone__class_Oone(T_a),T_a)
% 1.09/1.33 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)
% 1.09/1.33 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ).
% 1.09/1.33
% 1.09/1.33 cnf(cls_mult__left__le__one__le_0,axiom,
% 1.09/1.33 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 1.09/1.33 | c_lessequals(c_HOL_Otimes__class_Otimes(V_y,V_x,T_a),V_x,T_a)
% 1.09/1.33 | ~ c_lessequals(V_y,c_HOL_Oone__class_Oone(T_a),T_a)
% 1.09/1.33 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)
% 1.09/1.33 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ).
% 1.09/1.33
% 1.09/1.33 cnf(cls_right__inverse_0,axiom,
% 1.09/1.33 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 1.09/1.33 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) = c_HOL_Oone__class_Oone(T_a)
% 1.09/1.33 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.09/1.33
% 1.09/1.33 cnf(cls_left__inverse_0,axiom,
% 1.09/1.33 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 1.09/1.33 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(V_a,T_a),V_a,T_a) = c_HOL_Oone__class_Oone(T_a)
% 1.09/1.33 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.09/1.33
% 1.09/1.33 cnf(cls_field__inverse_0,axiom,
% 1.09/1.33 ( ~ class_Ring__and__Field_Ofield(T_a)
% 1.09/1.33 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(V_a,T_a),V_a,T_a) = c_HOL_Oone__class_Oone(T_a)
% 1.09/1.33 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.09/1.33
% 1.09/1.33 cnf(cls_div__add__self2_0,axiom,
% 1.09/1.33 ( ~ class_Divides_Osemiring__div(T_a)
% 1.09/1.33 | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_b,T_a) = c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(V_a,V_b,T_a),c_HOL_Oone__class_Oone(T_a),T_a)
% 1.09/1.33 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.09/1.33
% 1.09/1.33 cnf(cls_div__add__self1_0,axiom,
% 1.09/1.33 ( ~ class_Divides_Osemiring__div(T_a)
% 1.09/1.33 | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(V_b,V_a,T_a),V_b,T_a) = c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(V_a,V_b,T_a),c_HOL_Oone__class_Oone(T_a),T_a)
% 1.09/1.33 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.09/1.33
% 1.09/1.33 cnf(cls_zero__less__power__eq_4,axiom,
% 1.09/1.33 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 1.09/1.33 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(V_x,V_n,T_a),T_a)
% 1.09/1.33 | V_x = c_HOL_Ozero__class_Ozero(T_a)
% 1.09/1.33 | ~ c_Parity_Oeven__odd__class_Oeven(V_n,tc_nat) ) ).
% 1.09/1.33
% 1.09/1.33 cnf(cls_zero__less__power__eq_5,axiom,
% 1.09/1.33 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 1.09/1.33 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(V_x,V_n,T_a),T_a)
% 1.09/1.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a)
% 1.09/1.33 | c_Parity_Oeven__odd__class_Oeven(V_n,tc_nat) ) ).
% 1.09/1.33
% 1.09/1.33 cnf(cls_zero__less__power__eq_3,axiom,
% 1.09/1.33 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 1.09/1.33 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(V_x,c_HOL_Ozero__class_Ozero(tc_nat),T_a),T_a) ) ).
% 1.09/1.33
% 1.09/1.33 cnf(cls_power__less__zero__eq_2,axiom,
% 1.09/1.33 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 1.09/1.33 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(V_x,V_n,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.09/1.33 | ~ c_HOL_Oord__class_Oless(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.09/1.33 | c_Parity_Oeven__odd__class_Oeven(V_n,tc_nat) ) ).
% 1.09/1.33
% 1.09/1.33 cnf(cls_power__less__imp__less__base_0,axiom,
% 1.09/1.33 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 1.09/1.33 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 1.09/1.33 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 1.09/1.33 | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(V_a,V_n,T_a),c_Power_Opower__class_Opower(V_b,V_n,T_a),T_a) ) ).
% 1.09/1.33
% 1.09/1.33 cnf(cls_power__less__zero__eq_0,axiom,
% 1.09/1.33 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 1.09/1.33 | ~ c_Parity_Oeven__odd__class_Oeven(V_n,tc_nat)
% 1.09/1.33 | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(V_x,V_n,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.09/1.33
% 1.09/1.33 cnf(cls_zero__less__power__eq_2,axiom,
% 1.09/1.33 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 1.09/1.33 | V_n = c_HOL_Ozero__class_Ozero(tc_nat)
% 1.09/1.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(T_a),V_n,T_a),T_a)
% 1.09/1.33 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.09/1.33
% 1.09/1.33 cnf(cls_power__less__zero__eq__number__of_1,axiom,
% 1.09/1.33 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 1.09/1.33 | c_HOL_Oord__class_Oless(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.09/1.33 | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(V_x,c_Int_Onumber__class_Onumber__of(V_w,tc_nat),T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.09/1.33
% 1.09/1.33 cnf(cls_less__half__sum_0,axiom,
% 1.09/1.33 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.09/1.33 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(T_a),c_HOL_Oone__class_Oone(T_a),T_a),T_a),T_a)
% 1.09/1.33 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 1.09/1.33
% 1.09/1.33 cnf(cls_gt__half__sum_0,axiom,
% 1.09/1.33 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 1.09/1.33 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(T_a),c_HOL_Oone__class_Oone(T_a),T_a),T_a),V_b,T_a)
% 1.09/1.33 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 1.09/1.33
% 1.09/1.33 cnf(cls_power__0__left_0,axiom,
% 1.09/1.33 ( ~ class_Ring__and__Field_Osemiring__0(T_a)
% 1.09/1.33 | ~ class_Power_Opower(T_a)
% 1.09/1.33 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(tc_nat),T_a) = c_HOL_Oone__class_Oone(T_a) ) ).
% 1.09/1.33
% 1.09/1.33 cnf(cls_power__strict__increasing__iff_1,axiom,
% 1.09/1.33 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 1.09/1.33 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(V_b,V_x,T_a),c_Power_Opower__class_Opower(V_b,V_y,T_a),T_a)
% 1.09/1.33 | ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_nat)
% 1.09/1.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_b,T_a) ) ).
% 1.09/1.33
% 1.09/1.33 cnf(cls_power__strict__increasing__iff_0,axiom,
% 1.09/1.33 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 1.09/1.33 | c_HOL_Oord__class_Oless(V_x,V_y,tc_nat)
% 1.09/1.33 | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(V_b,V_x,T_a),c_Power_Opower__class_Opower(V_b,V_y,T_a),T_a)
% 1.09/1.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_b,T_a) ) ).
% 1.09/1.33
% 1.09/1.33 cnf(cls_power__strict__increasing_0,axiom,
% 1.09/1.33 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 1.09/1.33 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(V_a,V_n,T_a),c_Power_Opower__class_Opower(V_a,V_N,T_a),T_a)
% 1.09/1.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_a,T_a)
% 1.09/1.33 | ~ c_HOL_Oord__class_Oless(V_n,V_N,tc_nat) ) ).
% 1.09/1.33
% 1.09/1.33 cnf(cls_power__less__imp__less__exp_0,axiom,
% 1.09/1.33 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 1.09/1.33 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 1.09/1.33 | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(V_a,V_m,T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a)
% 1.09/1.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_a,T_a) ) ).
% 1.09/1.33
% 1.09/1.33 cnf(cls_power__gt1_0,axiom,
% 1.09/1.33 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 1.09/1.33 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),c_Power_Opower__class_Opower(V_a,c_Suc(V_n),T_a),T_a)
% 1.09/1.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_a,T_a) ) ).
% 1.09/1.33
% 1.09/1.33 cnf(cls_power__minus_0,axiom,
% 1.09/1.33 ( ~ class_Ring__and__Field_Oring__1(T_a)
% 1.09/1.33 | c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_n,T_a) = c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(T_a),T_a),V_n,T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a) ) ).
% 1.09/1.33
% 1.09/1.33 cnf(cls_norm__sgn_0,axiom,
% 1.09/1.33 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 1.09/1.33 | c_RealVector_Onorm__class_Onorm(c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(T_a),T_a),T_a) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ).
% 1.09/1.33
% 1.09/1.33 cnf(cls_norm__le__zero__iff_1,axiom,
% 1.09/1.33 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 1.09/1.33 | c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(T_a),T_a),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 1.09/1.33
% 1.09/1.33 cnf(cls_norm__le__zero__iff_0,axiom,
% 1.09/1.33 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 1.09/1.33 | V_x = c_HOL_Ozero__class_Ozero(T_a)
% 1.09/1.33 | ~ c_lessequals(c_RealVector_Onorm__class_Onorm(V_x,T_a),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 1.09/1.33
% 1.09/1.33 cnf(cls_norm__add__less_0,axiom,
% 1.09/1.33 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 1.09/1.33 | c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(V_x,V_y,T_a),T_a),c_HOL_Oplus__class_Oplus(V_r,V_s,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 1.09/1.33 | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(V_y,T_a),V_s,tc_RealDef_Oreal)
% 1.09/1.33 | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(V_x,T_a),V_r,tc_RealDef_Oreal) ) ).
% 1.09/1.33
% 1.09/1.33 cnf(cls_norm__sgn_1,axiom,
% 1.09/1.33 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 1.09/1.34 | c_RealVector_Onorm__class_Onorm(c_HOL_Osgn__class_Osgn(V_x,T_a),T_a) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
% 1.09/1.34 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_norm__mult__ineq_0,axiom,
% 1.09/1.34 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 1.09/1.34 | c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),T_a),c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(V_x,T_a),c_RealVector_Onorm__class_Onorm(V_y,T_a),tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_real__mult__inverse__cancel2_0,axiom,
% 1.09/1.34 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_y,c_HOL_Oinverse__class_Oinverse(V_x,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_u,c_HOL_Oinverse__class_Oinverse(V_x1,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
% 1.09/1.34 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_x1,V_y,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_x,V_u,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 1.09/1.34 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x1,tc_RealDef_Oreal)
% 1.09/1.34 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_real__mult__inverse__cancel_0,axiom,
% 1.09/1.34 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(V_x,tc_RealDef_Oreal),V_y,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(V_x1,tc_RealDef_Oreal),V_u,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 1.09/1.34 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_x1,V_y,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_x,V_u,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 1.09/1.34 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x1,tc_RealDef_Oreal)
% 1.09/1.34 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_real__mult__le__cancel__iff2_1,axiom,
% 1.09/1.34 ( c_lessequals(c_HOL_Otimes__class_Otimes(V_z,V_x,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_z,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 1.09/1.34 | ~ c_lessequals(V_x,V_y,tc_RealDef_Oreal)
% 1.09/1.34 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_z,tc_RealDef_Oreal) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_real__mult__le__cancel__iff2_0,axiom,
% 1.09/1.34 ( c_lessequals(V_x,V_y,tc_RealDef_Oreal)
% 1.09/1.34 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_z,V_x,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_z,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 1.09/1.34 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_z,tc_RealDef_Oreal) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_real__mult__le__cancel__iff1_1,axiom,
% 1.09/1.34 ( c_lessequals(c_HOL_Otimes__class_Otimes(V_x,V_z,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_y,V_z,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 1.09/1.34 | ~ c_lessequals(V_x,V_y,tc_RealDef_Oreal)
% 1.09/1.34 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_z,tc_RealDef_Oreal) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_real__mult__le__cancel__iff1_0,axiom,
% 1.09/1.34 ( c_lessequals(V_x,V_y,tc_RealDef_Oreal)
% 1.09/1.34 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_x,V_z,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_y,V_z,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 1.09/1.34 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_z,tc_RealDef_Oreal) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_real__sum__square__gt__zero2_0,axiom,
% 1.09/1.34 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_y,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
% 1.09/1.34 | V_y = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_real__sum__square__gt__zero_0,axiom,
% 1.09/1.34 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_y,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
% 1.09/1.34 | V_x = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_real__sgn__pos_0,axiom,
% 1.09/1.34 ( c_HOL_Osgn__class_Osgn(V_x,tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
% 1.09/1.34 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_real__inverse__gt__one_0,axiom,
% 1.09/1.34 ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(V_x,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 1.09/1.34 | ~ c_HOL_Oord__class_Oless(V_x,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 1.09/1.34 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_exp__less__one__iff_1,axiom,
% 1.09/1.34 ( c_HOL_Oord__class_Oless(c_Transcendental_Oexp(V_x,tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 1.09/1.34 | ~ c_HOL_Oord__class_Oless(V_x,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_exp__less__one__iff_0,axiom,
% 1.09/1.34 ( c_HOL_Oord__class_Oless(V_x,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 1.09/1.34 | ~ c_HOL_Oord__class_Oless(c_Transcendental_Oexp(V_x,tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_ln__eq__zero__iff_1,axiom,
% 1.09/1.34 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 1.09/1.34 | c_Transcendental_Oln(c_HOL_Oone__class_Oone(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_ln__eq__zero__iff_0,axiom,
% 1.09/1.34 ( c_Transcendental_Oln(V_x) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 1.09/1.34 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal)
% 1.09/1.34 | V_x = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_ln__less__zero__iff_0,axiom,
% 1.09/1.34 ( c_HOL_Oord__class_Oless(V_x,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 1.09/1.34 | ~ c_HOL_Oord__class_Oless(c_Transcendental_Oln(V_x),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 1.09/1.34 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_ln__less__zero_0,axiom,
% 1.09/1.34 ( c_HOL_Oord__class_Oless(c_Transcendental_Oln(V_x),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 1.09/1.34 | ~ c_HOL_Oord__class_Oless(V_x,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 1.09/1.34 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_real__sgn__def_1,axiom,
% 1.09/1.34 ( c_HOL_Osgn__class_Osgn(V_x,tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
% 1.09/1.34 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal)
% 1.09/1.34 | V_x = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_ln__gt__zero_0,axiom,
% 1.09/1.34 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oln(V_x),tc_RealDef_Oreal)
% 1.09/1.34 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_ln__gt__zero__imp__gt__one_0,axiom,
% 1.09/1.34 ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal)
% 1.09/1.34 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal)
% 1.09/1.34 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oln(V_x),tc_RealDef_Oreal) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_ln__gt__zero__iff_1,axiom,
% 1.09/1.34 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oln(V_x),tc_RealDef_Oreal)
% 1.09/1.34 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal)
% 1.09/1.34 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_ln__gt__zero__iff_0,axiom,
% 1.09/1.34 ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal)
% 1.09/1.34 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oln(V_x),tc_RealDef_Oreal)
% 1.09/1.34 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_one__less__exp__iff_0,axiom,
% 1.09/1.34 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal)
% 1.09/1.34 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_Transcendental_Oexp(V_x,tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_exp__gt__one_0,axiom,
% 1.09/1.34 ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_Transcendental_Oexp(V_x,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 1.09/1.34 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_real__mult__inverse__left_0,axiom,
% 1.09/1.34 ( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(V_x,tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
% 1.09/1.34 | V_x = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_real__mult__inverse__left__ex_0,axiom,
% 1.09/1.34 ( c_HOL_Otimes__class_Otimes(c_RealDef_Osko__RealDef__Xreal__mult__inverse__left__ex__1__1(V_x),V_x,tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
% 1.09/1.34 | V_x = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_norm__power__ineq_0,axiom,
% 1.09/1.34 ( ~ class_RealVector_Oreal__normed__algebra__1(T_a)
% 1.09/1.34 | c_lessequals(c_RealVector_Onorm__class_Onorm(c_Power_Opower__class_Opower(V_x,V_n,T_a),T_a),c_Power_Opower__class_Opower(c_RealVector_Onorm__class_Onorm(V_x,T_a),V_n,tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_kn_0,axiom,
% 1.09/1.34 c_HOL_Oplus__class_Oplus(v_k____,c_HOL_Oone__class_Oone(tc_nat),tc_nat) != v_n____ ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_power__strict__decreasing_0,axiom,
% 1.09/1.34 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 1.09/1.34 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(V_a,V_N,T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a)
% 1.09/1.34 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Oone__class_Oone(T_a),T_a)
% 1.09/1.34 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 1.09/1.34 | ~ c_HOL_Oord__class_Oless(V_n,V_N,tc_nat) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_power__Suc__less__one_0,axiom,
% 1.09/1.34 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 1.09/1.34 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(V_a,c_Suc(V_n),T_a),c_HOL_Oone__class_Oone(T_a),T_a)
% 1.09/1.34 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Oone__class_Oone(T_a),T_a)
% 1.09/1.34 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_norm__ratiotest__lemma_0,axiom,
% 1.09/1.34 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 1.09/1.34 | V_x = c_HOL_Ozero__class_Ozero(T_a)
% 1.09/1.34 | ~ c_lessequals(c_RealVector_Onorm__class_Onorm(V_x,T_a),c_HOL_Otimes__class_Otimes(V_c,c_RealVector_Onorm__class_Onorm(V_y,T_a),tc_RealDef_Oreal),tc_RealDef_Oreal)
% 1.09/1.34 | ~ c_lessequals(V_c,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_inv0_0,axiom,
% 1.09/1.34 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(v_k____,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_RealDef_Oreal),v_m____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_t_I3_J_0,axiom,
% 1.09/1.34 c_HOL_Oord__class_Oless(v_t____,c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(v_k____,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_RealDef_Oreal),v_m____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_sum__squares__eq__zero__iff_0,axiom,
% 1.09/1.34 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.09/1.34 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,T_a),c_HOL_Otimes__class_Otimes(V_y,V_y,T_a),T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 1.09/1.34 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_sum__squares__eq__zero__iff_1,axiom,
% 1.09/1.34 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.09/1.34 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,T_a),c_HOL_Otimes__class_Otimes(V_y,V_y,T_a),T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 1.09/1.34 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_mult__idem_0,axiom,
% 1.09/1.34 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(T_a)
% 1.09/1.34 | c_HOL_Otimes__class_Otimes(V_x,V_x,T_a) = V_x ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_class__semiring_Opwr__mul_0,axiom,
% 1.09/1.34 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.09/1.34 | c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),V_q,T_a) = c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_x,V_q,T_a),c_Power_Opower__class_Opower(V_y,V_q,T_a),T_a) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_power__mult__distrib_0,axiom,
% 1.09/1.34 ( ~ class_OrderedGroup_Ocomm__monoid__mult(T_a)
% 1.09/1.34 | c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_n,T_a) = c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_a,V_n,T_a),c_Power_Opower__class_Opower(V_b,V_n,T_a),T_a) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_norm__mult__less_0,axiom,
% 1.09/1.34 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 1.09/1.34 | c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),T_a),c_HOL_Otimes__class_Otimes(V_r,V_s,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 1.09/1.34 | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(V_y,T_a),V_s,tc_RealDef_Oreal)
% 1.09/1.34 | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(V_x,T_a),V_r,tc_RealDef_Oreal) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_ab__semigroup__mult__class_Omult__ac_I1_J_0,axiom,
% 1.09/1.34 ( ~ class_OrderedGroup_Oab__semigroup__mult(T_a)
% 1.09/1.34 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_c,T_a) = c_HOL_Otimes__class_Otimes(V_a,c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_class__semiring_Osemiring__rules_I16_J_0,axiom,
% 1.09/1.34 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.09/1.34 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_ly,T_a),V_rx,T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_rx,T_a),V_ly,T_a) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_class__semiring_Osemiring__rules_I17_J_0,axiom,
% 1.09/1.34 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.09/1.34 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_ly,T_a),V_rx,T_a) = c_HOL_Otimes__class_Otimes(V_lx,c_HOL_Otimes__class_Otimes(V_ly,V_rx,T_a),T_a) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_class__semiring_Osemiring__rules_I18_J_0,axiom,
% 1.09/1.34 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.09/1.34 | c_HOL_Otimes__class_Otimes(V_lx,c_HOL_Otimes__class_Otimes(V_rx,V_ry,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_rx,T_a),V_ry,T_a) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_class__semiring_Osemiring__rules_I19_J_0,axiom,
% 1.09/1.34 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.09/1.34 | c_HOL_Otimes__class_Otimes(V_lx,c_HOL_Otimes__class_Otimes(V_rx,V_ry,T_a),T_a) = c_HOL_Otimes__class_Otimes(V_rx,c_HOL_Otimes__class_Otimes(V_lx,V_ry,T_a),T_a) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_real__mult__assoc_0,axiom,
% 1.09/1.34 c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_z1,V_z2,tc_RealDef_Oreal),V_z3,tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(V_z1,c_HOL_Otimes__class_Otimes(V_z2,V_z3,tc_RealDef_Oreal),tc_RealDef_Oreal) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_class__semiring_Omul__a_0,axiom,
% 1.09/1.34 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.09/1.34 | c_HOL_Otimes__class_Otimes(V_x,c_HOL_Otimes__class_Otimes(V_y,V_z,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),V_z,T_a) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_class__semiring_Osemiring__rules_I8_J_0,axiom,
% 1.09/1.34 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.09/1.34 | c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_mult__right_Oadd_0,axiom,
% 1.09/1.34 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 1.09/1.34 | c_HOL_Otimes__class_Otimes(V_xa,c_HOL_Oplus__class_Oplus(V_x,V_y,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_xa,V_x,T_a),c_HOL_Otimes__class_Otimes(V_xa,V_y,T_a),T_a) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_mult_Oadd__right_0,axiom,
% 1.09/1.34 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 1.09/1.34 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Oplus__class_Oplus(V_b,V_b_H,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Otimes__class_Otimes(V_a,V_b_H,T_a),T_a) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_mult__left_Oadd_0,axiom,
% 1.09/1.34 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 1.09/1.34 | c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_x,V_y,T_a),V_ya,T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_ya,T_a),c_HOL_Otimes__class_Otimes(V_y,V_ya,T_a),T_a) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_mult_Oadd__left_0,axiom,
% 1.09/1.34 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 1.09/1.34 | c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_a,V_a_H,T_a),V_b,T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Otimes__class_Otimes(V_a_H,V_b,T_a),T_a) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_class__semiring_Omul__d_0,axiom,
% 1.09/1.34 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.09/1.34 | c_HOL_Otimes__class_Otimes(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),c_HOL_Otimes__class_Otimes(V_x,V_z,T_a),T_a) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_comm__semiring__class_Odistrib_0,axiom,
% 1.09/1.34 ( ~ class_Ring__and__Field_Ocomm__semiring(T_a)
% 1.09/1.34 | c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_zero__less__double__add__iff__zero__less__single__add_0,axiom,
% 1.09/1.34 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 1.09/1.34 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 1.09/1.34 | ~ 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) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_zero__less__double__add__iff__zero__less__single__add_1,axiom,
% 1.09/1.34 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 1.09/1.34 | 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)
% 1.09/1.34 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_sum__squares__gt__zero__iff_0,axiom,
% 1.09/1.34 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.09/1.34 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a),T_a),T_a) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_class__semiring_Osemiring__rules_I1_J_0,axiom,
% 1.09/1.34 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.09/1.34 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_m,T_a),c_HOL_Otimes__class_Otimes(V_b,V_m,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_m,T_a) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_zero__less__two_0,axiom,
% 1.09/1.34 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 1.09/1.34 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(T_a),c_HOL_Oone__class_Oone(T_a),T_a),T_a) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_power__Suc__less_0,axiom,
% 1.09/1.34 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 1.09/1.34 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a)
% 1.09/1.34 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Oone__class_Oone(T_a),T_a)
% 1.09/1.34 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_mult__less__cancel__left__disj_0,axiom,
% 1.09/1.34 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.09/1.34 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.09/1.34 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 1.09/1.34 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_mult__less__cancel__left__disj_3,axiom,
% 1.09/1.34 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.09/1.34 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 1.09/1.34 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 1.09/1.34 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_mult__less__cancel__right__disj_0,axiom,
% 1.09/1.34 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.09/1.34 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.09/1.34 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 1.09/1.34 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_mult__less__cancel__right__disj_3,axiom,
% 1.09/1.34 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.09/1.34 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 1.09/1.34 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 1.09/1.34 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_class__semiring_Osemiring__rules_I20_J_0,axiom,
% 1.09/1.34 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.09/1.34 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Oplus__class_Oplus(V_c,V_d,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_d,T_a),T_a) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_nat__add__right__cancel_0,axiom,
% 1.09/1.34 ( c_HOL_Oplus__class_Oplus(V_m,V_k,tc_nat) != c_HOL_Oplus__class_Oplus(V_n,V_k,tc_nat)
% 1.09/1.34 | V_m = V_n ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_nat__add__left__cancel_0,axiom,
% 1.09/1.34 ( c_HOL_Oplus__class_Oplus(V_k,V_m,tc_nat) != c_HOL_Oplus__class_Oplus(V_k,V_n,tc_nat)
% 1.09/1.34 | V_m = V_n ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_natgb_Oadd__cancel_0,axiom,
% 1.09/1.34 ( c_HOL_Oplus__class_Oplus(V_x,V_y,tc_nat) != c_HOL_Oplus__class_Oplus(V_x,V_z,tc_nat)
% 1.09/1.34 | V_y = V_z ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_class__ringb_Oadd__cancel_0,axiom,
% 1.09/1.34 ( ~ class_Ring__and__Field_Oidom(T_a)
% 1.09/1.34 | ~ class_Int_Onumber__ring(T_a)
% 1.09/1.34 | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) != c_HOL_Oplus__class_Oplus(V_x,V_z,T_a)
% 1.09/1.34 | V_y = V_z ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_add__imp__eq_0,axiom,
% 1.09/1.34 ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(T_a)
% 1.09/1.34 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) != c_HOL_Oplus__class_Oplus(V_a,V_c,T_a)
% 1.09/1.34 | V_b = V_c ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_add__left__cancel_0,axiom,
% 1.09/1.34 ( ~ class_OrderedGroup_Ocancel__semigroup__add(T_a)
% 1.09/1.34 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) != c_HOL_Oplus__class_Oplus(V_a,V_c,T_a)
% 1.09/1.34 | V_b = V_c ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_add__right__cancel_0,axiom,
% 1.09/1.34 ( ~ class_OrderedGroup_Ocancel__semigroup__add(T_a)
% 1.09/1.34 | c_HOL_Oplus__class_Oplus(V_b,V_a,T_a) != c_HOL_Oplus__class_Oplus(V_c,V_a,T_a)
% 1.09/1.34 | V_b = V_c ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_not__square__less__zero_0,axiom,
% 1.09/1.34 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.09/1.34 | ~ 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) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_norm__one_0,axiom,
% 1.09/1.34 ( ~ class_RealVector_Oreal__normed__algebra__1(T_a)
% 1.09/1.34 | c_RealVector_Onorm__class_Onorm(c_HOL_Oone__class_Oone(T_a),T_a) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_real__zero__not__eq__one_0,axiom,
% 1.09/1.34 c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_zero__neq__one_0,axiom,
% 1.09/1.34 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a)
% 1.09/1.34 | c_HOL_Ozero__class_Ozero(T_a) != c_HOL_Oone__class_Oone(T_a) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_power__one_0,axiom,
% 1.09/1.34 ( ~ class_OrderedGroup_Omonoid__mult(T_a)
% 1.09/1.34 | c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(T_a),V_n,T_a) = c_HOL_Oone__class_Oone(T_a) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_add__cancel__21_0,axiom,
% 1.09/1.34 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 1.09/1.34 | c_HOL_Oplus__class_Oplus(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a) != c_HOL_Oplus__class_Oplus(V_y,V_u,T_a)
% 1.09/1.34 | c_HOL_Oplus__class_Oplus(V_x,V_z,T_a) = V_u ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_not__real__square__gt__zero_1,axiom,
% 1.09/1.34 ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_class__semiring_Osemiring__rules_I24_J_0,axiom,
% 1.09/1.34 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.09/1.34 | c_HOL_Oplus__class_Oplus(V_a,V_c,T_a) = c_HOL_Oplus__class_Oplus(V_c,V_a,T_a) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_nat__add__commute_0,axiom,
% 1.09/1.34 c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat) = c_HOL_Oplus__class_Oplus(V_n,V_m,tc_nat) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_class__semiring_Oadd__c_0,axiom,
% 1.09/1.34 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.09/1.34 | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) = c_HOL_Oplus__class_Oplus(V_y,V_x,T_a) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_comm__monoid__add_Omult__commute_0,axiom,
% 1.09/1.34 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 1.09/1.34 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) = c_HOL_Oplus__class_Oplus(V_b,V_a,T_a) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_norm__zero_0,axiom,
% 1.09/1.34 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 1.09/1.34 | c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_norm__mult_0,axiom,
% 1.09/1.34 ( ~ class_RealVector_Oreal__normed__div__algebra(T_a)
% 1.09/1.34 | c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(V_x,T_a),c_RealVector_Onorm__class_Onorm(V_y,T_a),tc_RealDef_Oreal) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_power__commutes_0,axiom,
% 1.09/1.34 ( ~ class_OrderedGroup_Omonoid__mult(T_a)
% 1.09/1.34 | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_a,V_n,T_a),V_a,T_a) = c_HOL_Otimes__class_Otimes(V_a,c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_real__mult__left__cancel_0,axiom,
% 1.09/1.34 ( c_HOL_Otimes__class_Otimes(V_c,V_a,tc_RealDef_Oreal) != c_HOL_Otimes__class_Otimes(V_c,V_b,tc_RealDef_Oreal)
% 1.09/1.34 | V_c = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 1.09/1.34 | V_a = V_b ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_real__mult__right__cancel_0,axiom,
% 1.09/1.34 ( c_HOL_Otimes__class_Otimes(V_a,V_c,tc_RealDef_Oreal) != c_HOL_Otimes__class_Otimes(V_b,V_c,tc_RealDef_Oreal)
% 1.09/1.34 | V_c = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 1.09/1.34 | V_a = V_b ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_class__semiring_Osemiring__rules_I4_J_0,axiom,
% 1.09/1.34 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.09/1.34 | c_HOL_Oplus__class_Oplus(V_m,V_m,T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(T_a),c_HOL_Oone__class_Oone(T_a),T_a),V_m,T_a) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_class__semiring_Osemiring__rules_I33_J_0,axiom,
% 1.09/1.34 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.09/1.34 | c_Power_Opower__class_Opower(V_x,c_HOL_Oone__class_Oone(tc_nat),T_a) = V_x ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_power__one__right_0,axiom,
% 1.09/1.34 ( ~ class_OrderedGroup_Omonoid__mult(T_a)
% 1.09/1.34 | c_Power_Opower__class_Opower(V_a,c_HOL_Oone__class_Oone(tc_nat),T_a) = V_a ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_zero__less__power_0,axiom,
% 1.09/1.34 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 1.09/1.34 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a)
% 1.09/1.34 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_not__one__less__zero_0,axiom,
% 1.09/1.34 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 1.09/1.34 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_class__ringb_Onoteq__reduce_0,axiom,
% 1.09/1.34 ( ~ class_Ring__and__Field_Oidom(T_a)
% 1.09/1.34 | ~ class_Int_Onumber__ring(T_a)
% 1.09/1.34 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_d,T_a),T_a) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_d,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a)
% 1.09/1.34 | V_c = V_d
% 1.09/1.34 | V_a = V_b ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_class__ringb_Oadd__mul__solve_0,axiom,
% 1.09/1.34 ( ~ class_Ring__and__Field_Oidom(T_a)
% 1.09/1.34 | ~ class_Int_Onumber__ring(T_a)
% 1.09/1.34 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_w,V_y,T_a),c_HOL_Otimes__class_Otimes(V_x,V_z,T_a),T_a) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_w,V_z,T_a),c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),T_a)
% 1.09/1.34 | V_y = V_z
% 1.09/1.34 | V_w = V_x ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_class__semiring_Osemiring__rules_I9_J_0,axiom,
% 1.09/1.34 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.09/1.34 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_class__semiring_Osemiring__rules_I10_J_0,axiom,
% 1.09/1.34 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.09/1.34 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_mult__left_Ozero_0,axiom,
% 1.09/1.34 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 1.09/1.34 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_mult_Ozero__left_0,axiom,
% 1.09/1.34 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 1.09/1.34 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_mult_Ozero__right_0,axiom,
% 1.09/1.34 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 1.09/1.34 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_mult__right_Ozero_0,axiom,
% 1.09/1.34 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 1.09/1.34 | c_HOL_Otimes__class_Otimes(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_class__semiring_Omul__0_0,axiom,
% 1.09/1.34 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.09/1.34 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_mult__zero__left_0,axiom,
% 1.09/1.34 ( ~ class_Ring__and__Field_Omult__zero(T_a)
% 1.09/1.34 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_mult__zero__right_0,axiom,
% 1.09/1.34 ( ~ class_Ring__and__Field_Omult__zero(T_a)
% 1.09/1.34 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_mult__eq__0__iff_1,axiom,
% 1.09/1.34 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(T_a)
% 1.09/1.34 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_mult__eq__0__iff_2,axiom,
% 1.09/1.34 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(T_a)
% 1.09/1.34 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_class__semiring_Osemiring__rules_I2_J_0,axiom,
% 1.09/1.34 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.09/1.34 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_m,T_a),V_m,T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oone__class_Oone(T_a),T_a),V_m,T_a) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_class__semiring_Osemiring__rules_I3_J_0,axiom,
% 1.09/1.34 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.09/1.34 | c_HOL_Oplus__class_Oplus(V_m,c_HOL_Otimes__class_Otimes(V_a,V_m,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oone__class_Oone(T_a),T_a),V_m,T_a) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_linorder__neq__iff_1,axiom,
% 1.09/1.34 ( ~ class_Orderings_Olinorder(T_a)
% 1.09/1.34 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_order__less__le_1,axiom,
% 1.09/1.34 ( ~ class_Orderings_Oorder(T_a)
% 1.09/1.34 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_real__less__def_1,axiom,
% 1.09/1.34 ~ c_HOL_Oord__class_Oless(V_x,V_x,tc_RealDef_Oreal) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_order__less__irrefl_0,axiom,
% 1.09/1.34 ( ~ class_Orderings_Opreorder(T_a)
% 1.09/1.34 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_add__pos__pos_0,axiom,
% 1.09/1.34 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 1.09/1.34 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a)
% 1.09/1.34 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 1.09/1.34 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_t_I2_J_0,axiom,
% 1.09/1.34 c_HOL_Oord__class_Oless(v_t____,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_add__strict__mono_0,axiom,
% 1.09/1.34 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 1.09/1.34 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_d,T_a),T_a)
% 1.09/1.34 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a)
% 1.09/1.34 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_zero__less__one_0,axiom,
% 1.09/1.34 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 1.09/1.34 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oone__class_Oone(T_a),T_a) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_power__inject__exp_0,axiom,
% 1.09/1.34 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 1.09/1.34 | c_Power_Opower__class_Opower(V_a,V_m,T_a) != c_Power_Opower__class_Opower(V_a,V_n,T_a)
% 1.09/1.34 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_a,T_a)
% 1.09/1.34 | V_m = V_n ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_add__less__cancel__left_0,axiom,
% 1.09/1.34 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 1.09/1.34 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 1.09/1.34 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_c,V_a,T_a),c_HOL_Oplus__class_Oplus(V_c,V_b,T_a),T_a) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_add__less__cancel__left_1,axiom,
% 1.09/1.34 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 1.09/1.34 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_c,V_a,T_a),c_HOL_Oplus__class_Oplus(V_c,V_b,T_a),T_a)
% 1.09/1.34 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_add__strict__left__mono_0,axiom,
% 1.09/1.34 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 1.09/1.34 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_c,V_a,T_a),c_HOL_Oplus__class_Oplus(V_c,V_b,T_a),T_a)
% 1.09/1.34 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_add__less__cancel__right_0,axiom,
% 1.09/1.34 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 1.09/1.34 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 1.09/1.34 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_add__less__cancel__right_1,axiom,
% 1.09/1.34 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 1.09/1.34 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a)
% 1.09/1.34 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_add__strict__right__mono_0,axiom,
% 1.09/1.34 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 1.09/1.34 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a)
% 1.09/1.34 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_norm__power_0,axiom,
% 1.09/1.34 ( ~ class_RealVector_Oreal__normed__div__algebra(T_a)
% 1.09/1.34 | c_RealVector_Onorm__class_Onorm(c_Power_Opower__class_Opower(V_x,V_n,T_a),T_a) = c_Power_Opower__class_Opower(c_RealVector_Onorm__class_Onorm(V_x,T_a),V_n,tc_RealDef_Oreal) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_sum__squares__eq__zero__iff_2,axiom,
% 1.09/1.34 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.09/1.34 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_mult__less__cancel__left__disj_1,axiom,
% 1.09/1.34 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.09/1.34 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 1.09/1.34 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 1.09/1.34 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_mult__less__cancel__left__disj_2,axiom,
% 1.09/1.34 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.09/1.34 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.09/1.34 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 1.09/1.34 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_mult__less__cancel__right__disj_1,axiom,
% 1.09/1.34 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.09/1.34 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 1.09/1.34 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 1.09/1.34 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_mult__less__cancel__right__disj_2,axiom,
% 1.09/1.34 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.09/1.34 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.09/1.34 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 1.09/1.34 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_not__real__square__gt__zero_0,axiom,
% 1.09/1.34 ( V_x = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 1.09/1.34 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_x,V_x,tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_order__less__asym_H_0,axiom,
% 1.09/1.34 ( ~ class_Orderings_Opreorder(T_a)
% 1.09/1.34 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 1.09/1.34 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_order__less__asym_0,axiom,
% 1.09/1.34 ( ~ class_Orderings_Opreorder(T_a)
% 1.09/1.34 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 1.09/1.34 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_not__less__iff__gr__or__eq_1,axiom,
% 1.09/1.34 ( ~ class_Orderings_Olinorder(T_a)
% 1.09/1.34 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 1.09/1.34 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_xt1_I9_J_0,axiom,
% 1.09/1.34 ( ~ class_Orderings_Oorder(T_a)
% 1.09/1.34 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 1.09/1.34 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_class__ringb_Oadd__scale__eq__noteq_0,axiom,
% 1.09/1.34 ( ~ class_Ring__and__Field_Oidom(T_a)
% 1.09/1.34 | ~ class_Int_Onumber__ring(T_a)
% 1.09/1.34 | c_HOL_Oplus__class_Oplus(V_x,c_HOL_Otimes__class_Otimes(V_r,V_c,T_a),T_a) != c_HOL_Oplus__class_Oplus(V_x,c_HOL_Otimes__class_Otimes(V_r,V_d,T_a),T_a)
% 1.09/1.34 | V_c = V_d
% 1.09/1.34 | V_r = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_power__less__power__Suc_0,axiom,
% 1.09/1.34 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 1.09/1.34 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(V_a,V_n,T_a),c_HOL_Otimes__class_Otimes(V_a,c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a),T_a)
% 1.09/1.34 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_a,T_a) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_pos__add__strict_0,axiom,
% 1.09/1.34 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 1.09/1.34 | c_HOL_Oord__class_Oless(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a)
% 1.09/1.34 | ~ c_HOL_Oord__class_Oless(V_b,V_c,T_a)
% 1.09/1.34 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_mult__pos__neg2_0,axiom,
% 1.09/1.34 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 1.09/1.34 | 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)
% 1.09/1.34 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.09/1.34 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_mult__pos__neg_0,axiom,
% 1.09/1.34 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 1.09/1.34 | 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)
% 1.09/1.34 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.09/1.34 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_mult__neg__pos_0,axiom,
% 1.09/1.34 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 1.09/1.34 | 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)
% 1.09/1.34 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 1.09/1.34 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_zero__less__norm__iff_1,axiom,
% 1.09/1.34 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 1.09/1.34 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(V_x,T_a),tc_RealDef_Oreal)
% 1.09/1.34 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_field__power__not__zero_0,axiom,
% 1.09/1.34 ( ~ class_Ring__and__Field_Oring__1__no__zero__divisors(T_a)
% 1.09/1.34 | c_Power_Opower__class_Opower(V_a,V_n,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 1.09/1.34 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_power__eq__0__iff_0,axiom,
% 1.09/1.34 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a)
% 1.09/1.34 | ~ class_Ring__and__Field_Ono__zero__divisors(T_a)
% 1.09/1.34 | ~ class_Ring__and__Field_Omult__zero(T_a)
% 1.09/1.34 | ~ class_Power_Opower(T_a)
% 1.09/1.34 | c_Power_Opower__class_Opower(V_a,V_n,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 1.09/1.34 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_mult__left__idem_0,axiom,
% 1.09/1.34 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(T_a)
% 1.09/1.34 | c_HOL_Otimes__class_Otimes(V_x,c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),T_a) = c_HOL_Otimes__class_Otimes(V_x,V_y,T_a) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_less__add__one_0,axiom,
% 1.09/1.34 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 1.09/1.34 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oone__class_Oone(T_a),T_a),T_a) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_linorder__neqE__ordered__idom_0,axiom,
% 1.09/1.34 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 1.09/1.34 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 1.09/1.34 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 1.09/1.34 | V_x = V_y ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_not__less__iff__gr__or__eq_0,axiom,
% 1.09/1.34 ( ~ class_Orderings_Olinorder(T_a)
% 1.09/1.34 | V_x = V_y
% 1.09/1.34 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 1.09/1.34 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_linorder__antisym__conv3_0,axiom,
% 1.09/1.34 ( ~ class_Orderings_Olinorder(T_a)
% 1.09/1.34 | V_x = V_y
% 1.09/1.34 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 1.09/1.34 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_linorder__less__linear_0,axiom,
% 1.09/1.34 ( ~ class_Orderings_Olinorder(T_a)
% 1.09/1.34 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 1.09/1.34 | V_x = V_y
% 1.09/1.34 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_linorder__neqE_0,axiom,
% 1.09/1.34 ( ~ class_Orderings_Olinorder(T_a)
% 1.09/1.34 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 1.09/1.34 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 1.09/1.34 | V_x = V_y ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_power__gt1__lemma_0,axiom,
% 1.09/1.34 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 1.09/1.34 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),c_HOL_Otimes__class_Otimes(V_a,c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a),T_a)
% 1.09/1.34 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_a,T_a) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_zero__less__norm__iff_0,axiom,
% 1.09/1.34 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 1.09/1.34 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(T_a),T_a),tc_RealDef_Oreal) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_class__semiring_Osemiring__rules_I15_J_0,axiom,
% 1.09/1.34 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.09/1.34 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_ly,T_a),c_HOL_Otimes__class_Otimes(V_rx,V_ry,T_a),T_a) = c_HOL_Otimes__class_Otimes(V_rx,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_ly,T_a),V_ry,T_a),T_a) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_class__semiring_Osemiring__rules_I14_J_0,axiom,
% 1.09/1.34 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.09/1.34 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_ly,T_a),c_HOL_Otimes__class_Otimes(V_rx,V_ry,T_a),T_a) = c_HOL_Otimes__class_Otimes(V_lx,c_HOL_Otimes__class_Otimes(V_ly,c_HOL_Otimes__class_Otimes(V_rx,V_ry,T_a),T_a),T_a) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_class__semiring_Osemiring__rules_I13_J_0,axiom,
% 1.09/1.34 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.09/1.34 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_ly,T_a),c_HOL_Otimes__class_Otimes(V_rx,V_ry,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_rx,T_a),c_HOL_Otimes__class_Otimes(V_ly,V_ry,T_a),T_a) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_not__sum__squares__lt__zero_0,axiom,
% 1.09/1.34 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.09/1.34 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,T_a),c_HOL_Otimes__class_Otimes(V_y,V_y,T_a),T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_one__neq__zero_0,axiom,
% 1.09/1.34 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a)
% 1.09/1.34 | c_HOL_Oone__class_Oone(T_a) != c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_zero__less__mult__pos2_0,axiom,
% 1.09/1.34 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 1.09/1.34 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 1.09/1.34 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 1.09/1.34 | ~ 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) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_zero__less__mult__pos_0,axiom,
% 1.09/1.34 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 1.09/1.34 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 1.09/1.34 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 1.09/1.34 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_mult__pos__pos_0,axiom,
% 1.09/1.34 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 1.09/1.34 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 1.09/1.34 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 1.09/1.34 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_mult__neg__neg_0,axiom,
% 1.09/1.34 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.09/1.34 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 1.09/1.34 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.09/1.34 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_real__mult__order_0,axiom,
% 1.09/1.34 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_x,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 1.09/1.34 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_y,tc_RealDef_Oreal)
% 1.09/1.34 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_double__add__less__zero__iff__single__less__zero_1,axiom,
% 1.09/1.34 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 1.09/1.34 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.09/1.34 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_double__add__less__zero__iff__single__less__zero_0,axiom,
% 1.09/1.34 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 1.09/1.34 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.09/1.34 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_even__less__0__iff_0,axiom,
% 1.09/1.34 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 1.09/1.34 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.09/1.34 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_even__less__0__iff_1,axiom,
% 1.09/1.34 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 1.09/1.34 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.09/1.34 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_mult__eq__0__iff_0,axiom,
% 1.09/1.34 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(T_a)
% 1.09/1.34 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 1.09/1.34 | V_b = c_HOL_Ozero__class_Ozero(T_a)
% 1.09/1.34 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_no__zero__divisors_0,axiom,
% 1.09/1.34 ( ~ class_Ring__and__Field_Ono__zero__divisors(T_a)
% 1.09/1.34 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 1.09/1.34 | V_b = c_HOL_Ozero__class_Ozero(T_a)
% 1.09/1.34 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_no__zero__divirors__neq0_0,axiom,
% 1.09/1.34 ( ~ class_Ring__and__Field_Ono__zero__divisors(T_a)
% 1.09/1.34 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 1.09/1.34 | V_a = c_HOL_Ozero__class_Ozero(T_a)
% 1.09/1.34 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_double__eq__0__iff_0,axiom,
% 1.09/1.34 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 1.09/1.34 | c_HOL_Oplus__class_Oplus(V_a,V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 1.09/1.34 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_class__semiring_Omul__pwr_0,axiom,
% 1.09/1.34 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.09/1.34 | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_x,V_p,T_a),c_Power_Opower__class_Opower(V_x,V_q,T_a),T_a) = c_Power_Opower__class_Opower(V_x,c_HOL_Oplus__class_Oplus(V_p,V_q,tc_nat),T_a) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_class__ringb_Oadd__r0__iff_0,axiom,
% 1.09/1.34 ( ~ class_Ring__and__Field_Oidom(T_a)
% 1.09/1.34 | ~ class_Int_Onumber__ring(T_a)
% 1.09/1.34 | V_x != c_HOL_Oplus__class_Oplus(V_x,V_a,T_a)
% 1.09/1.34 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_norm__eq__zero_0,axiom,
% 1.09/1.34 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 1.09/1.34 | c_RealVector_Onorm__class_Onorm(V_x,T_a) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 1.09/1.34 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_norm__not__less__zero_0,axiom,
% 1.09/1.34 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 1.09/1.34 | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(V_x,T_a),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_mult__1__right_0,axiom,
% 1.09/1.34 ( ~ class_OrderedGroup_Omonoid__mult(T_a)
% 1.09/1.34 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Oone__class_Oone(T_a),T_a) = V_a ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_mult__1__left_0,axiom,
% 1.09/1.34 ( ~ class_OrderedGroup_Omonoid__mult(T_a)
% 1.09/1.34 | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(T_a),V_a,T_a) = V_a ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_mult__1_0,axiom,
% 1.09/1.34 ( ~ class_OrderedGroup_Ocomm__monoid__mult(T_a)
% 1.09/1.34 | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(T_a),V_a,T_a) = V_a ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_class__semiring_Omul__1_0,axiom,
% 1.09/1.34 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.09/1.34 | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(T_a),V_x,T_a) = V_x ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_real__mult__1_0,axiom,
% 1.09/1.34 c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),V_z,tc_RealDef_Oreal) = V_z ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_class__semiring_Osemiring__rules_I12_J_0,axiom,
% 1.09/1.34 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.09/1.34 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Oone__class_Oone(T_a),T_a) = V_a ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_class__semiring_Osemiring__rules_I11_J_0,axiom,
% 1.09/1.34 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.09/1.34 | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(T_a),V_a,T_a) = V_a ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_class__ringb_Oadd__mul__solve_1,axiom,
% 1.09/1.34 ( ~ class_Ring__and__Field_Oidom(T_a)
% 1.09/1.34 | ~ class_Int_Onumber__ring(T_a)
% 1.09/1.34 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),c_HOL_Otimes__class_Otimes(V_x,V_z,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_z,T_a),c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),T_a) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_class__ringb_Onoteq__reduce_1,axiom,
% 1.09/1.34 ( ~ class_Ring__and__Field_Oidom(T_a)
% 1.09/1.34 | ~ class_Int_Onumber__ring(T_a)
% 1.09/1.34 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_c,T_a),c_HOL_Otimes__class_Otimes(V_x,V_d,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_d,T_a),c_HOL_Otimes__class_Otimes(V_x,V_c,T_a),T_a) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_class__semiring_Omul__c_0,axiom,
% 1.09/1.34 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.09/1.34 | c_HOL_Otimes__class_Otimes(V_x,V_y,T_a) = c_HOL_Otimes__class_Otimes(V_y,V_x,T_a) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_double__eq__0__iff_1,axiom,
% 1.09/1.34 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 1.09/1.34 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_real__mult__commute_0,axiom,
% 1.09/1.34 c_HOL_Otimes__class_Otimes(V_z,V_w,tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(V_w,V_z,tc_RealDef_Oreal) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_class__semiring_Osemiring__rules_I7_J_0,axiom,
% 1.09/1.34 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.09/1.34 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) = c_HOL_Otimes__class_Otimes(V_b,V_a,T_a) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_t_I1_J_0,axiom,
% 1.09/1.34 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_t____,tc_RealDef_Oreal) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_xt1_I10_J_0,axiom,
% 1.09/1.34 ( ~ class_Orderings_Oorder(T_a)
% 1.09/1.34 | c_HOL_Oord__class_Oless(V_z,V_x,T_a)
% 1.09/1.34 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a)
% 1.09/1.34 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_order__less__trans_0,axiom,
% 1.09/1.34 ( ~ class_Orderings_Opreorder(T_a)
% 1.09/1.34 | c_HOL_Oord__class_Oless(V_x,V_z,T_a)
% 1.09/1.34 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a)
% 1.09/1.34 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_comm__monoid__add_Omult__left__commute_0,axiom,
% 1.09/1.34 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 1.09/1.34 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) = c_HOL_Oplus__class_Oplus(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_comm__monoid__add_Omult__assoc_0,axiom,
% 1.09/1.34 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 1.09/1.34 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_class__semiring_Oadd__a_0,axiom,
% 1.09/1.34 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.09/1.34 | c_HOL_Oplus__class_Oplus(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_x,V_y,T_a),V_z,T_a) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_nat__add__assoc_0,axiom,
% 1.09/1.34 c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat),V_k,tc_nat) = c_HOL_Oplus__class_Oplus(V_m,c_HOL_Oplus__class_Oplus(V_n,V_k,tc_nat),tc_nat) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_nat__add__left__commute_0,axiom,
% 1.09/1.34 c_HOL_Oplus__class_Oplus(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(V_y,c_HOL_Oplus__class_Oplus(V_x,V_z,tc_nat),tc_nat) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_add__cancel__21_1,axiom,
% 1.09/1.34 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 1.09/1.34 | c_HOL_Oplus__class_Oplus(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a) = c_HOL_Oplus__class_Oplus(V_y,c_HOL_Oplus__class_Oplus(V_x,V_z,T_a),T_a) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_ab__semigroup__add__class_Oadd__ac_I1_J_0,axiom,
% 1.09/1.34 ( ~ class_OrderedGroup_Oab__semigroup__add(T_a)
% 1.09/1.34 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_class__semiring_Osemiring__rules_I25_J_0,axiom,
% 1.09/1.34 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.09/1.34 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(V_c,V_d,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),V_d,T_a) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_class__semiring_Osemiring__rules_I23_J_0,axiom,
% 1.09/1.34 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.09/1.34 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),V_b,T_a) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_class__semiring_Osemiring__rules_I22_J_0,axiom,
% 1.09/1.34 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.09/1.34 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(V_c,V_d,T_a),T_a) = c_HOL_Oplus__class_Oplus(V_c,c_HOL_Oplus__class_Oplus(V_a,V_d,T_a),T_a) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_class__semiring_Osemiring__rules_I21_J_0,axiom,
% 1.09/1.34 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.09/1.34 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_power__add_0,axiom,
% 1.09/1.34 ( ~ class_OrderedGroup_Omonoid__mult(T_a)
% 1.09/1.34 | c_Power_Opower__class_Opower(V_a,c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat),T_a) = c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_a,V_m,T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_power__less__zero__eq_1,axiom,
% 1.09/1.34 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 1.09/1.34 | c_HOL_Oord__class_Oless(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.09/1.34 | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(V_x,V_n,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_combine__common__factor_0,axiom,
% 1.09/1.34 ( ~ class_Ring__and__Field_Osemiring(T_a)
% 1.09/1.34 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_c,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_e,T_a),V_c,T_a) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_add__neg__neg_0,axiom,
% 1.09/1.34 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 1.09/1.34 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.09/1.34 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.09/1.34 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_sum__squares__gt__zero__iff_2,axiom,
% 1.09/1.34 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.09/1.34 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,T_a),c_HOL_Otimes__class_Otimes(V_y,V_y,T_a),T_a),T_a)
% 1.09/1.34 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_sum__squares__gt__zero__iff_1,axiom,
% 1.09/1.34 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.09/1.34 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,T_a),c_HOL_Otimes__class_Otimes(V_y,V_y,T_a),T_a),T_a)
% 1.09/1.34 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_real__mult__is__one_1,axiom,
% 1.09/1.34 c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_mult__strict__left__mono__comm_0,axiom,
% 1.09/1.34 ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(T_a)
% 1.09/1.34 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 1.09/1.34 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 1.09/1.34 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_mult__less__cancel__right__disj_5,axiom,
% 1.09/1.34 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.09/1.34 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a)
% 1.09/1.34 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 1.09/1.34 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_mult__less__cancel__right__disj_4,axiom,
% 1.09/1.34 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.09/1.34 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a)
% 1.09/1.34 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 1.09/1.34 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_mult__strict__right__mono_0,axiom,
% 1.09/1.34 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 1.09/1.34 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a)
% 1.09/1.34 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 1.09/1.34 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_mult__strict__right__mono__neg_0,axiom,
% 1.09/1.34 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.09/1.34 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a)
% 1.09/1.34 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.09/1.34 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_mult__less__cancel__left__disj_5,axiom,
% 1.09/1.34 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.09/1.34 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 1.09/1.34 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 1.09/1.34 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_mult__less__cancel__left__disj_4,axiom,
% 1.09/1.34 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.09/1.34 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 1.09/1.34 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 1.09/1.34 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_mult__strict__left__mono_0,axiom,
% 1.09/1.34 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 1.09/1.34 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 1.09/1.34 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 1.09/1.34 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_mult__strict__left__mono__neg_0,axiom,
% 1.09/1.34 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.09/1.34 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 1.09/1.34 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 1.09/1.34 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_mult__less__cancel__left__pos_1,axiom,
% 1.09/1.34 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.09/1.34 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 1.09/1.34 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 1.09/1.34 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_mult__less__cancel__left__pos_0,axiom,
% 1.09/1.34 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.09/1.34 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 1.09/1.34 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 1.09/1.34 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_mult__less__cancel__left__neg_1,axiom,
% 1.09/1.34 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.09/1.34 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 1.09/1.34 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 1.09/1.34 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_mult__less__cancel__left__neg_0,axiom,
% 1.09/1.34 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 1.09/1.34 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 1.09/1.34 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 1.09/1.34 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_real__mult__less__mono2_0,axiom,
% 1.09/1.34 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_z,V_x,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_z,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 1.09/1.34 | ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal)
% 1.09/1.34 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_z,tc_RealDef_Oreal) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_real__mult__less__iff1_1,axiom,
% 1.09/1.34 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_x,V_z,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_y,V_z,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 1.09/1.34 | ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal)
% 1.09/1.34 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_z,tc_RealDef_Oreal) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_real__mult__less__iff1_0,axiom,
% 1.09/1.34 ( c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal)
% 1.09/1.34 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_x,V_z,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_y,V_z,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 1.09/1.34 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_z,tc_RealDef_Oreal) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_m_I1_J_0,axiom,
% 1.09/1.34 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_m____,tc_RealDef_Oreal) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_monoid__add__class_Oadd__0__right_0,axiom,
% 1.09/1.34 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 1.09/1.34 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_add__0__left_0,axiom,
% 1.09/1.34 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 1.09/1.34 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = V_a ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_comm__monoid__add_Omult__1__right_0,axiom,
% 1.09/1.34 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 1.09/1.34 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_class__ringb_Oadd__r0__iff_1,axiom,
% 1.09/1.34 ( ~ class_Ring__and__Field_Oidom(T_a)
% 1.09/1.34 | ~ class_Int_Onumber__ring(T_a)
% 1.09/1.34 | V_x = c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_class__semiring_Oadd__0_0,axiom,
% 1.09/1.34 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.09/1.34 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) = V_x ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_comm__monoid__add_Omult__1_0,axiom,
% 1.09/1.34 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 1.09/1.34 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = V_a ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_class__semiring_Osemiring__rules_I6_J_0,axiom,
% 1.09/1.34 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.09/1.34 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_class__semiring_Osemiring__rules_I5_J_0,axiom,
% 1.09/1.34 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 1.09/1.34 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = V_a ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_less__1__mult_0,axiom,
% 1.09/1.34 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 1.09/1.34 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),c_HOL_Otimes__class_Otimes(V_m,V_n,T_a),T_a)
% 1.09/1.34 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_n,T_a)
% 1.09/1.34 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_m,T_a) ) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_conjecture_0,negated_conjecture,
% 1.09/1.34 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Power_Opower__class_Opower(v_t____,v_k____,tc_RealDef_Oreal),tc_RealDef_Oreal) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_conjecture_1,negated_conjecture,
% 1.09/1.34 c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(v_t____,c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(v_k____,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_RealDef_Oreal),v_m____,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ).
% 1.09/1.34
% 1.09/1.34 cnf(cls_conjecture_2,negated_conjecture,
% 1.09/1.34 ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(v_t____,v_k____,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_t____,c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(v_k____,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_RealDef_Oreal),v_m____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(v_t____,v_k____,tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_nat__OrderedGroup_Opordered__cancel__ab__semigroup__add,axiom,
% 1.09/1.34 class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add__imp__le,axiom,
% 1.09/1.34 class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_nat__Ring__and__Field_Oordered__comm__semiring__strict,axiom,
% 1.09/1.34 class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_nat__Ring__and__Field_Opordered__cancel__semiring,axiom,
% 1.09/1.34 class_Ring__and__Field_Opordered__cancel__semiring(tc_nat) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_nat__Ring__and__Field_Oordered__semiring__strict,axiom,
% 1.09/1.34 class_Ring__and__Field_Oordered__semiring__strict(tc_nat) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add,axiom,
% 1.09/1.34 class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_nat__OrderedGroup_Opordered__comm__monoid__add,axiom,
% 1.09/1.34 class_OrderedGroup_Opordered__comm__monoid__add(tc_nat) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_nat__OrderedGroup_Ocancel__ab__semigroup__add,axiom,
% 1.09/1.34 class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_nat__OrderedGroup_Ocancel__semigroup__add,axiom,
% 1.09/1.34 class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_nat__Ring__and__Field_Opordered__semiring,axiom,
% 1.09/1.34 class_Ring__and__Field_Opordered__semiring(tc_nat) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_nat__Ring__and__Field_Oordered__semiring,axiom,
% 1.09/1.34 class_Ring__and__Field_Oordered__semiring(tc_nat) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_nat__Ring__and__Field_Ono__zero__divisors,axiom,
% 1.09/1.34 class_Ring__and__Field_Ono__zero__divisors(tc_nat) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_nat__Ring__and__Field_Oordered__semidom,axiom,
% 1.09/1.34 class_Ring__and__Field_Oordered__semidom(tc_nat) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_nat__Ring__and__Field_Ocomm__semiring__1,axiom,
% 1.09/1.34 class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_nat__OrderedGroup_Oab__semigroup__mult,axiom,
% 1.09/1.34 class_OrderedGroup_Oab__semigroup__mult(tc_nat) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_nat__OrderedGroup_Ocomm__monoid__mult,axiom,
% 1.09/1.34 class_OrderedGroup_Ocomm__monoid__mult(tc_nat) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_nat__OrderedGroup_Oab__semigroup__add,axiom,
% 1.09/1.34 class_OrderedGroup_Oab__semigroup__add(tc_nat) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_nat__Ring__and__Field_Ocomm__semiring,axiom,
% 1.09/1.34 class_Ring__and__Field_Ocomm__semiring(tc_nat) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_nat__OrderedGroup_Ocomm__monoid__add,axiom,
% 1.09/1.34 class_OrderedGroup_Ocomm__monoid__add(tc_nat) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_nat__Ring__and__Field_Ozero__neq__one,axiom,
% 1.09/1.34 class_Ring__and__Field_Ozero__neq__one(tc_nat) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_nat__Ring__and__Field_Osemiring__0,axiom,
% 1.09/1.34 class_Ring__and__Field_Osemiring__0(tc_nat) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_nat__Ring__and__Field_Omult__mono1,axiom,
% 1.09/1.34 class_Ring__and__Field_Omult__mono1(tc_nat) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_nat__Ring__and__Field_Omult__zero,axiom,
% 1.09/1.34 class_Ring__and__Field_Omult__zero(tc_nat) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_nat__Ring__and__Field_Omult__mono,axiom,
% 1.09/1.34 class_Ring__and__Field_Omult__mono(tc_nat) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_nat__OrderedGroup_Omonoid__mult,axiom,
% 1.09/1.34 class_OrderedGroup_Omonoid__mult(tc_nat) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_nat__Ring__and__Field_Osemiring,axiom,
% 1.09/1.34 class_Ring__and__Field_Osemiring(tc_nat) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_nat__OrderedGroup_Omonoid__add,axiom,
% 1.09/1.34 class_OrderedGroup_Omonoid__add(tc_nat) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_nat__Divides_Osemiring__div,axiom,
% 1.09/1.34 class_Divides_Osemiring__div(tc_nat) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_nat__Orderings_Opreorder,axiom,
% 1.09/1.34 class_Orderings_Opreorder(tc_nat) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_nat__Orderings_Olinorder,axiom,
% 1.09/1.34 class_Orderings_Olinorder(tc_nat) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_nat__Orderings_Oorder,axiom,
% 1.09/1.34 class_Orderings_Oorder(tc_nat) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_nat__Power_Opower,axiom,
% 1.09/1.34 class_Power_Opower(tc_nat) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_nat__Int_Onumber,axiom,
% 1.09/1.34 class_Int_Onumber(tc_nat) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_Int__Oint__OrderedGroup_Opordered__cancel__ab__semigroup__add,axiom,
% 1.09/1.34 class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_Int_Oint) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_Int__Oint__OrderedGroup_Opordered__ab__semigroup__add__imp__le,axiom,
% 1.09/1.34 class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_Int_Oint) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_Int__Oint__Ring__and__Field_Oordered__comm__semiring__strict,axiom,
% 1.09/1.34 class_Ring__and__Field_Oordered__comm__semiring__strict(tc_Int_Oint) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_Int__Oint__Ring__and__Field_Opordered__cancel__semiring,axiom,
% 1.09/1.34 class_Ring__and__Field_Opordered__cancel__semiring(tc_Int_Oint) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_Int__Oint__Ring__and__Field_Oring__1__no__zero__divisors,axiom,
% 1.09/1.34 class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Int_Oint) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_Int__Oint__Ring__and__Field_Oordered__semiring__strict,axiom,
% 1.09/1.34 class_Ring__and__Field_Oordered__semiring__strict(tc_Int_Oint) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_Int__Oint__OrderedGroup_Opordered__ab__semigroup__add,axiom,
% 1.09/1.34 class_OrderedGroup_Opordered__ab__semigroup__add(tc_Int_Oint) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_Int__Oint__OrderedGroup_Opordered__comm__monoid__add,axiom,
% 1.09/1.34 class_OrderedGroup_Opordered__comm__monoid__add(tc_Int_Oint) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_Int__Oint__Ring__and__Field_Oring__no__zero__divisors,axiom,
% 1.09/1.34 class_Ring__and__Field_Oring__no__zero__divisors(tc_Int_Oint) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_Int__Oint__OrderedGroup_Ocancel__ab__semigroup__add,axiom,
% 1.09/1.34 class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Int_Oint) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_Int__Oint__Ring__and__Field_Oordered__ring__strict,axiom,
% 1.09/1.34 class_Ring__and__Field_Oordered__ring__strict(tc_Int_Oint) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_Int__Oint__OrderedGroup_Opordered__ab__group__add,axiom,
% 1.09/1.34 class_OrderedGroup_Opordered__ab__group__add(tc_Int_Oint) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_Int__Oint__OrderedGroup_Olordered__ab__group__add,axiom,
% 1.09/1.34 class_OrderedGroup_Olordered__ab__group__add(tc_Int_Oint) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_Int__Oint__OrderedGroup_Oordered__ab__group__add,axiom,
% 1.09/1.34 class_OrderedGroup_Oordered__ab__group__add(tc_Int_Oint) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_Int__Oint__OrderedGroup_Ocancel__semigroup__add,axiom,
% 1.09/1.34 class_OrderedGroup_Ocancel__semigroup__add(tc_Int_Oint) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_Int__Oint__Ring__and__Field_Opordered__semiring,axiom,
% 1.09/1.34 class_Ring__and__Field_Opordered__semiring(tc_Int_Oint) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_Int__Oint__Ring__and__Field_Oordered__semiring,axiom,
% 1.09/1.34 class_Ring__and__Field_Oordered__semiring(tc_Int_Oint) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_Int__Oint__Ring__and__Field_Ono__zero__divisors,axiom,
% 1.09/1.34 class_Ring__and__Field_Ono__zero__divisors(tc_Int_Oint) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_Int__Oint__Ring__and__Field_Oordered__semidom,axiom,
% 1.09/1.34 class_Ring__and__Field_Oordered__semidom(tc_Int_Oint) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_Int__Oint__Ring__and__Field_Ocomm__semiring__1,axiom,
% 1.09/1.34 class_Ring__and__Field_Ocomm__semiring__1(tc_Int_Oint) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_Int__Oint__OrderedGroup_Oab__semigroup__mult,axiom,
% 1.09/1.34 class_OrderedGroup_Oab__semigroup__mult(tc_Int_Oint) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_Int__Oint__OrderedGroup_Ocomm__monoid__mult,axiom,
% 1.09/1.34 class_OrderedGroup_Ocomm__monoid__mult(tc_Int_Oint) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_Int__Oint__OrderedGroup_Oab__semigroup__add,axiom,
% 1.09/1.34 class_OrderedGroup_Oab__semigroup__add(tc_Int_Oint) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_Int__Oint__Ring__and__Field_Opordered__ring,axiom,
% 1.09/1.34 class_Ring__and__Field_Opordered__ring(tc_Int_Oint) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_Int__Oint__Ring__and__Field_Ocomm__semiring,axiom,
% 1.09/1.34 class_Ring__and__Field_Ocomm__semiring(tc_Int_Oint) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_Int__Oint__OrderedGroup_Ocomm__monoid__add,axiom,
% 1.09/1.34 class_OrderedGroup_Ocomm__monoid__add(tc_Int_Oint) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_Int__Oint__Ring__and__Field_Ozero__neq__one,axiom,
% 1.09/1.34 class_Ring__and__Field_Ozero__neq__one(tc_Int_Oint) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_Int__Oint__Ring__and__Field_Oordered__idom,axiom,
% 1.09/1.34 class_Ring__and__Field_Oordered__idom(tc_Int_Oint) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_Int__Oint__Ring__and__Field_Ocomm__ring__1,axiom,
% 1.09/1.34 class_Ring__and__Field_Ocomm__ring__1(tc_Int_Oint) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_Int__Oint__Ring__and__Field_Osemiring__0,axiom,
% 1.09/1.34 class_Ring__and__Field_Osemiring__0(tc_Int_Oint) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_Int__Oint__Ring__and__Field_Omult__mono1,axiom,
% 1.09/1.34 class_Ring__and__Field_Omult__mono1(tc_Int_Oint) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_Int__Oint__OrderedGroup_Oab__group__add,axiom,
% 1.09/1.34 class_OrderedGroup_Oab__group__add(tc_Int_Oint) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_Int__Oint__Ring__and__Field_Omult__zero,axiom,
% 1.09/1.34 class_Ring__and__Field_Omult__zero(tc_Int_Oint) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_Int__Oint__Ring__and__Field_Omult__mono,axiom,
% 1.09/1.34 class_Ring__and__Field_Omult__mono(tc_Int_Oint) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_Int__Oint__OrderedGroup_Omonoid__mult,axiom,
% 1.09/1.34 class_OrderedGroup_Omonoid__mult(tc_Int_Oint) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_Int__Oint__Ring__and__Field_Osemiring,axiom,
% 1.09/1.34 class_Ring__and__Field_Osemiring(tc_Int_Oint) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_Int__Oint__OrderedGroup_Omonoid__add,axiom,
% 1.09/1.34 class_OrderedGroup_Omonoid__add(tc_Int_Oint) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_Int__Oint__OrderedGroup_Ogroup__add,axiom,
% 1.09/1.34 class_OrderedGroup_Ogroup__add(tc_Int_Oint) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_Int__Oint__Ring__and__Field_Osgn__if,axiom,
% 1.09/1.34 class_Ring__and__Field_Osgn__if(tc_Int_Oint) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_Int__Oint__Ring__and__Field_Oring__1,axiom,
% 1.09/1.34 class_Ring__and__Field_Oring__1(tc_Int_Oint) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_Int__Oint__Divides_Osemiring__div,axiom,
% 1.09/1.34 class_Divides_Osemiring__div(tc_Int_Oint) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_Int__Oint__Ring__and__Field_Oring,axiom,
% 1.09/1.34 class_Ring__and__Field_Oring(tc_Int_Oint) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_Int__Oint__Ring__and__Field_Oidom,axiom,
% 1.09/1.34 class_Ring__and__Field_Oidom(tc_Int_Oint) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_Int__Oint__Orderings_Opreorder,axiom,
% 1.09/1.34 class_Orderings_Opreorder(tc_Int_Oint) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_Int__Oint__Orderings_Olinorder,axiom,
% 1.09/1.34 class_Orderings_Olinorder(tc_Int_Oint) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_Int__Oint__Orderings_Oorder,axiom,
% 1.09/1.34 class_Orderings_Oorder(tc_Int_Oint) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_Int__Oint__Int_Oring__char__0,axiom,
% 1.09/1.34 class_Int_Oring__char__0(tc_Int_Oint) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_Int__Oint__Int_Onumber__ring,axiom,
% 1.09/1.34 class_Int_Onumber__ring(tc_Int_Oint) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_Int__Oint__Power_Opower,axiom,
% 1.09/1.34 class_Power_Opower(tc_Int_Oint) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_Int__Oint__Int_Onumber,axiom,
% 1.09/1.34 class_Int_Onumber(tc_Int_Oint) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__cancel__ab__semigroup__add,axiom,
% 1.09/1.34 class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_RealDef_Oreal) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__semigroup__add__imp__le,axiom,
% 1.09/1.34 class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__comm__semiring__strict,axiom,
% 1.09/1.34 class_Ring__and__Field_Oordered__comm__semiring__strict(tc_RealDef_Oreal) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Opordered__cancel__semiring,axiom,
% 1.09/1.34 class_Ring__and__Field_Opordered__cancel__semiring(tc_RealDef_Oreal) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oring__1__no__zero__divisors,axiom,
% 1.09/1.34 class_Ring__and__Field_Oring__1__no__zero__divisors(tc_RealDef_Oreal) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__semiring__strict,axiom,
% 1.09/1.34 class_Ring__and__Field_Oordered__semiring__strict(tc_RealDef_Oreal) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__semigroup__add,axiom,
% 1.09/1.34 class_OrderedGroup_Opordered__ab__semigroup__add(tc_RealDef_Oreal) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__comm__monoid__add,axiom,
% 1.09/1.34 class_OrderedGroup_Opordered__comm__monoid__add(tc_RealDef_Oreal) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oring__no__zero__divisors,axiom,
% 1.09/1.34 class_Ring__and__Field_Oring__no__zero__divisors(tc_RealDef_Oreal) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_RealDef__Oreal__OrderedGroup_Ocancel__ab__semigroup__add,axiom,
% 1.09/1.34 class_OrderedGroup_Ocancel__ab__semigroup__add(tc_RealDef_Oreal) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__ring__strict,axiom,
% 1.09/1.34 class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_RealDef__Oreal__RealVector_Oreal__normed__div__algebra,axiom,
% 1.09/1.34 class_RealVector_Oreal__normed__div__algebra(tc_RealDef_Oreal) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__group__add,axiom,
% 1.09/1.34 class_OrderedGroup_Opordered__ab__group__add(tc_RealDef_Oreal) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_RealDef__Oreal__OrderedGroup_Olordered__ab__group__add,axiom,
% 1.09/1.34 class_OrderedGroup_Olordered__ab__group__add(tc_RealDef_Oreal) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_RealDef__Oreal__OrderedGroup_Oordered__ab__group__add,axiom,
% 1.09/1.34 class_OrderedGroup_Oordered__ab__group__add(tc_RealDef_Oreal) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_RealDef__Oreal__OrderedGroup_Ocancel__semigroup__add,axiom,
% 1.09/1.34 class_OrderedGroup_Ocancel__semigroup__add(tc_RealDef_Oreal) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Opordered__semiring,axiom,
% 1.09/1.34 class_Ring__and__Field_Opordered__semiring(tc_RealDef_Oreal) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_RealDef__Oreal__RealVector_Oreal__normed__algebra__1,axiom,
% 1.09/1.34 class_RealVector_Oreal__normed__algebra__1(tc_RealDef_Oreal) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__semiring,axiom,
% 1.09/1.34 class_Ring__and__Field_Oordered__semiring(tc_RealDef_Oreal) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ono__zero__divisors,axiom,
% 1.09/1.34 class_Ring__and__Field_Ono__zero__divisors(tc_RealDef_Oreal) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Odivision__by__zero,axiom,
% 1.09/1.34 class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__semidom,axiom,
% 1.09/1.34 class_Ring__and__Field_Oordered__semidom(tc_RealDef_Oreal) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring__1,axiom,
% 1.09/1.34 class_Ring__and__Field_Ocomm__semiring__1(tc_RealDef_Oreal) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_RealDef__Oreal__RealVector_Oreal__normed__algebra,axiom,
% 1.09/1.34 class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_RealDef__Oreal__OrderedGroup_Oab__semigroup__mult,axiom,
% 1.09/1.34 class_OrderedGroup_Oab__semigroup__mult(tc_RealDef_Oreal) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_RealDef__Oreal__RealVector_Oreal__normed__vector,axiom,
% 1.09/1.34 class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_RealDef__Oreal__OrderedGroup_Ocomm__monoid__mult,axiom,
% 1.09/1.34 class_OrderedGroup_Ocomm__monoid__mult(tc_RealDef_Oreal) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_RealDef__Oreal__OrderedGroup_Oab__semigroup__add,axiom,
% 1.09/1.34 class_OrderedGroup_Oab__semigroup__add(tc_RealDef_Oreal) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Opordered__ring,axiom,
% 1.09/1.34 class_Ring__and__Field_Opordered__ring(tc_RealDef_Oreal) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__field,axiom,
% 1.09/1.34 class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Odivision__ring,axiom,
% 1.09/1.34 class_Ring__and__Field_Odivision__ring(tc_RealDef_Oreal) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring,axiom,
% 1.09/1.34 class_Ring__and__Field_Ocomm__semiring(tc_RealDef_Oreal) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_RealDef__Oreal__RealVector_Oreal__normed__field,axiom,
% 1.09/1.34 class_RealVector_Oreal__normed__field(tc_RealDef_Oreal) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_RealDef__Oreal__OrderedGroup_Ocomm__monoid__add,axiom,
% 1.09/1.34 class_OrderedGroup_Ocomm__monoid__add(tc_RealDef_Oreal) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ozero__neq__one,axiom,
% 1.09/1.34 class_Ring__and__Field_Ozero__neq__one(tc_RealDef_Oreal) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__idom,axiom,
% 1.09/1.34 class_Ring__and__Field_Oordered__idom(tc_RealDef_Oreal) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__ring__1,axiom,
% 1.09/1.34 class_Ring__and__Field_Ocomm__ring__1(tc_RealDef_Oreal) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Osemiring__0,axiom,
% 1.09/1.34 class_Ring__and__Field_Osemiring__0(tc_RealDef_Oreal) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Omult__mono1,axiom,
% 1.09/1.34 class_Ring__and__Field_Omult__mono1(tc_RealDef_Oreal) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_RealDef__Oreal__OrderedGroup_Oab__group__add,axiom,
% 1.09/1.34 class_OrderedGroup_Oab__group__add(tc_RealDef_Oreal) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Omult__zero,axiom,
% 1.09/1.34 class_Ring__and__Field_Omult__zero(tc_RealDef_Oreal) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Omult__mono,axiom,
% 1.09/1.34 class_Ring__and__Field_Omult__mono(tc_RealDef_Oreal) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_RealDef__Oreal__OrderedGroup_Omonoid__mult,axiom,
% 1.09/1.34 class_OrderedGroup_Omonoid__mult(tc_RealDef_Oreal) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Osemiring,axiom,
% 1.09/1.34 class_Ring__and__Field_Osemiring(tc_RealDef_Oreal) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_RealDef__Oreal__OrderedGroup_Omonoid__add,axiom,
% 1.09/1.34 class_OrderedGroup_Omonoid__add(tc_RealDef_Oreal) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_RealDef__Oreal__OrderedGroup_Ogroup__add,axiom,
% 1.09/1.34 class_OrderedGroup_Ogroup__add(tc_RealDef_Oreal) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Osgn__if,axiom,
% 1.09/1.34 class_Ring__and__Field_Osgn__if(tc_RealDef_Oreal) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oring__1,axiom,
% 1.09/1.34 class_Ring__and__Field_Oring__1(tc_RealDef_Oreal) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_RealDef__Oreal__RealVector_Oreal__field,axiom,
% 1.09/1.34 class_RealVector_Oreal__field(tc_RealDef_Oreal) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ofield,axiom,
% 1.09/1.34 class_Ring__and__Field_Ofield(tc_RealDef_Oreal) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oring,axiom,
% 1.09/1.34 class_Ring__and__Field_Oring(tc_RealDef_Oreal) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oidom,axiom,
% 1.09/1.34 class_Ring__and__Field_Oidom(tc_RealDef_Oreal) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_RealDef__Oreal__Orderings_Opreorder,axiom,
% 1.09/1.34 class_Orderings_Opreorder(tc_RealDef_Oreal) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_RealDef__Oreal__Orderings_Olinorder,axiom,
% 1.09/1.34 class_Orderings_Olinorder(tc_RealDef_Oreal) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_RealDef__Oreal__Orderings_Oorder,axiom,
% 1.09/1.34 class_Orderings_Oorder(tc_RealDef_Oreal) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_RealDef__Oreal__Int_Oring__char__0,axiom,
% 1.09/1.34 class_Int_Oring__char__0(tc_RealDef_Oreal) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_RealDef__Oreal__Int_Onumber__ring,axiom,
% 1.09/1.34 class_Int_Onumber__ring(tc_RealDef_Oreal) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_RealDef__Oreal__Power_Opower,axiom,
% 1.09/1.34 class_Power_Opower(tc_RealDef_Oreal) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_RealDef__Oreal__SEQ_Obanach,axiom,
% 1.09/1.34 class_SEQ_Obanach(tc_RealDef_Oreal) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_RealDef__Oreal__Int_Onumber,axiom,
% 1.09/1.34 class_Int_Onumber(tc_RealDef_Oreal) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Oring__1__no__zero__divisors,axiom,
% 1.09/1.34 class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Complex_Ocomplex) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Oring__no__zero__divisors,axiom,
% 1.09/1.34 class_Ring__and__Field_Oring__no__zero__divisors(tc_Complex_Ocomplex) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ocancel__ab__semigroup__add,axiom,
% 1.09/1.34 class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Complex_Ocomplex) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__div__algebra,axiom,
% 1.09/1.34 class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ocancel__semigroup__add,axiom,
% 1.09/1.34 class_OrderedGroup_Ocancel__semigroup__add(tc_Complex_Ocomplex) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__algebra__1,axiom,
% 1.09/1.34 class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ono__zero__divisors,axiom,
% 1.09/1.34 class_Ring__and__Field_Ono__zero__divisors(tc_Complex_Ocomplex) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Odivision__by__zero,axiom,
% 1.09/1.34 class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__1,axiom,
% 1.09/1.34 class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__algebra,axiom,
% 1.09/1.34 class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Oab__semigroup__mult,axiom,
% 1.09/1.34 class_OrderedGroup_Oab__semigroup__mult(tc_Complex_Ocomplex) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__vector,axiom,
% 1.09/1.34 class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ocomm__monoid__mult,axiom,
% 1.09/1.34 class_OrderedGroup_Ocomm__monoid__mult(tc_Complex_Ocomplex) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Oab__semigroup__add,axiom,
% 1.09/1.34 class_OrderedGroup_Oab__semigroup__add(tc_Complex_Ocomplex) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Odivision__ring,axiom,
% 1.09/1.34 class_Ring__and__Field_Odivision__ring(tc_Complex_Ocomplex) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring,axiom,
% 1.09/1.34 class_Ring__and__Field_Ocomm__semiring(tc_Complex_Ocomplex) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__field,axiom,
% 1.09/1.34 class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ocomm__monoid__add,axiom,
% 1.09/1.34 class_OrderedGroup_Ocomm__monoid__add(tc_Complex_Ocomplex) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ozero__neq__one,axiom,
% 1.09/1.34 class_Ring__and__Field_Ozero__neq__one(tc_Complex_Ocomplex) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__ring__1,axiom,
% 1.09/1.34 class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Osemiring__0,axiom,
% 1.09/1.34 class_Ring__and__Field_Osemiring__0(tc_Complex_Ocomplex) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Oab__group__add,axiom,
% 1.09/1.34 class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Omult__zero,axiom,
% 1.09/1.34 class_Ring__and__Field_Omult__zero(tc_Complex_Ocomplex) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__mult,axiom,
% 1.09/1.34 class_OrderedGroup_Omonoid__mult(tc_Complex_Ocomplex) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Osemiring,axiom,
% 1.09/1.34 class_Ring__and__Field_Osemiring(tc_Complex_Ocomplex) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__add,axiom,
% 1.09/1.34 class_OrderedGroup_Omonoid__add(tc_Complex_Ocomplex) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ogroup__add,axiom,
% 1.09/1.34 class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Oring__1,axiom,
% 1.09/1.34 class_Ring__and__Field_Oring__1(tc_Complex_Ocomplex) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__field,axiom,
% 1.09/1.34 class_RealVector_Oreal__field(tc_Complex_Ocomplex) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ofield,axiom,
% 1.09/1.34 class_Ring__and__Field_Ofield(tc_Complex_Ocomplex) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Oring,axiom,
% 1.09/1.34 class_Ring__and__Field_Oring(tc_Complex_Ocomplex) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Oidom,axiom,
% 1.09/1.34 class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_Complex__Ocomplex__Int_Oring__char__0,axiom,
% 1.09/1.34 class_Int_Oring__char__0(tc_Complex_Ocomplex) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_Complex__Ocomplex__Int_Onumber__ring,axiom,
% 1.09/1.34 class_Int_Onumber__ring(tc_Complex_Ocomplex) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_Complex__Ocomplex__Power_Opower,axiom,
% 1.09/1.34 class_Power_Opower(tc_Complex_Ocomplex) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_Complex__Ocomplex__SEQ_Obanach,axiom,
% 1.09/1.34 class_SEQ_Obanach(tc_Complex_Ocomplex) ).
% 1.09/1.34
% 1.09/1.34 cnf(clsarity_Complex__Ocomplex__Int_Onumber,axiom,
% 1.09/1.34 class_Int_Onumber(tc_Complex_Ocomplex) ).
% 1.09/1.34
% 1.09/1.34 %------------------------------------------------------------------------------
% 1.09/1.34 %-------------------------------------------
% 1.09/1.34 % Proof found
% 1.09/1.34 % SZS status Theorem for theBenchmark
% 1.09/1.34 % SZS output start Proof
% 1.09/1.35 %ClaNum:1339(EqnAxiom:108)
% 1.09/1.35 %VarNum:7482(SingletonVarNum:2215)
% 1.09/1.35 %MaxLitNum:6
% 1.09/1.35 %MaxfuncDepth:6
% 1.09/1.35 %SharedTerms:241
% 1.09/1.35 %goalClause: 314 339 361
% 1.09/1.35 %singleGoalClaCount:3
% 1.09/1.35 [109]P1(a1)
% 1.09/1.35 [110]P1(a2)
% 1.09/1.35 [111]P5(a20)
% 1.09/1.35 [112]P5(a3)
% 1.09/1.35 [113]P5(a2)
% 1.09/1.35 [114]P10(a20)
% 1.09/1.35 [115]P10(a3)
% 1.09/1.35 [116]P10(a2)
% 1.09/1.35 [117]P18(a20)
% 1.09/1.35 [118]P18(a3)
% 1.09/1.35 [119]P18(a2)
% 1.09/1.35 [120]P6(a20)
% 1.09/1.35 [121]P6(a3)
% 1.09/1.35 [122]P6(a2)
% 1.09/1.35 [123]P19(a20)
% 1.09/1.35 [124]P19(a3)
% 1.09/1.35 [125]P20(a20)
% 1.09/1.35 [126]P20(a3)
% 1.09/1.35 [127]P21(a20)
% 1.09/1.35 [128]P21(a3)
% 1.09/1.35 [129]P44(a20)
% 1.09/1.35 [130]P44(a2)
% 1.09/1.35 [131]P39(a20)
% 1.09/1.35 [132]P39(a3)
% 1.09/1.35 [133]P51(a20)
% 1.09/1.35 [134]P51(a3)
% 1.09/1.35 [135]P45(a20)
% 1.09/1.35 [136]P7(a1)
% 1.09/1.35 [137]P7(a20)
% 1.09/1.35 [138]P7(a3)
% 1.09/1.35 [139]P7(a2)
% 1.09/1.35 [140]P22(a1)
% 1.09/1.35 [141]P22(a20)
% 1.09/1.35 [142]P22(a2)
% 1.09/1.35 [143]P33(a1)
% 1.09/1.35 [144]P33(a20)
% 1.09/1.35 [145]P33(a2)
% 1.09/1.35 [146]P43(a20)
% 1.09/1.35 [147]P43(a3)
% 1.09/1.35 [148]P23(a20)
% 1.09/1.35 [149]P23(a2)
% 1.09/1.35 [150]P52(a20)
% 1.09/1.35 [151]P52(a2)
% 1.09/1.35 [152]P27(a20)
% 1.09/1.35 [153]P27(a2)
% 1.09/1.35 [154]P53(a1)
% 1.09/1.35 [155]P53(a20)
% 1.09/1.35 [156]P53(a2)
% 1.09/1.35 [157]P8(a20)
% 1.09/1.35 [158]P8(a3)
% 1.09/1.35 [159]P8(a2)
% 1.09/1.35 [160]P34(a20)
% 1.09/1.35 [161]P34(a3)
% 1.09/1.35 [162]P55(a20)
% 1.09/1.35 [163]P55(a3)
% 1.09/1.35 [164]P55(a2)
% 1.09/1.35 [165]P28(a1)
% 1.09/1.35 [166]P28(a20)
% 1.09/1.35 [167]P28(a2)
% 1.09/1.35 [168]P24(a20)
% 1.09/1.35 [169]P24(a2)
% 1.09/1.35 [170]P35(a20)
% 1.09/1.35 [171]P35(a3)
% 1.09/1.35 [172]P36(a20)
% 1.09/1.35 [173]P36(a3)
% 1.09/1.35 [174]P56(a20)
% 1.09/1.35 [175]P56(a2)
% 1.09/1.35 [176]P40(a20)
% 1.09/1.35 [177]P40(a3)
% 1.09/1.35 [178]P40(a2)
% 1.09/1.35 [179]P29(a1)
% 1.09/1.35 [180]P29(a20)
% 1.09/1.35 [181]P29(a2)
% 1.09/1.35 [182]P30(a1)
% 1.09/1.35 [183]P30(a20)
% 1.09/1.35 [184]P30(a2)
% 1.09/1.35 [185]P66(a1)
% 1.09/1.35 [186]P66(a20)
% 1.09/1.35 [187]P66(a3)
% 1.09/1.35 [188]P66(a2)
% 1.09/1.35 [189]P46(a1)
% 1.09/1.35 [190]P46(a20)
% 1.09/1.35 [191]P46(a3)
% 1.09/1.35 [192]P46(a2)
% 1.09/1.35 [193]P47(a1)
% 1.09/1.35 [194]P47(a20)
% 1.09/1.35 [195]P47(a3)
% 1.09/1.35 [196]P47(a2)
% 1.09/1.35 [197]P37(a1)
% 1.09/1.35 [198]P37(a20)
% 1.09/1.35 [199]P37(a3)
% 1.09/1.35 [200]P37(a2)
% 1.09/1.35 [201]P61(a1)
% 1.09/1.35 [202]P61(a20)
% 1.09/1.35 [203]P61(a3)
% 1.09/1.35 [204]P61(a2)
% 1.09/1.35 [205]P54(a20)
% 1.09/1.35 [206]P54(a2)
% 1.09/1.35 [207]P25(a1)
% 1.09/1.35 [208]P25(a20)
% 1.09/1.35 [209]P25(a3)
% 1.09/1.35 [210]P25(a2)
% 1.09/1.35 [211]P38(a20)
% 1.09/1.35 [212]P38(a3)
% 1.09/1.35 [213]P48(a1)
% 1.09/1.35 [214]P48(a20)
% 1.09/1.35 [215]P48(a2)
% 1.09/1.35 [216]P49(a1)
% 1.09/1.35 [217]P49(a20)
% 1.09/1.35 [218]P49(a2)
% 1.09/1.35 [219]P57(a1)
% 1.09/1.35 [220]P57(a20)
% 1.09/1.35 [221]P57(a2)
% 1.09/1.35 [222]P58(a1)
% 1.09/1.35 [223]P58(a20)
% 1.09/1.35 [224]P58(a2)
% 1.09/1.35 [225]P59(a1)
% 1.09/1.35 [226]P59(a20)
% 1.09/1.35 [227]P59(a2)
% 1.09/1.35 [228]P60(a1)
% 1.09/1.35 [229]P60(a20)
% 1.09/1.35 [230]P60(a2)
% 1.09/1.35 [231]P31(a1)
% 1.09/1.35 [232]P31(a20)
% 1.09/1.35 [233]P31(a2)
% 1.09/1.35 [234]P11(a1)
% 1.09/1.35 [235]P11(a20)
% 1.09/1.35 [236]P11(a3)
% 1.09/1.35 [237]P11(a2)
% 1.09/1.35 [238]P32(a1)
% 1.09/1.35 [239]P32(a20)
% 1.09/1.35 [240]P32(a2)
% 1.09/1.35 [241]P62(a1)
% 1.09/1.35 [242]P62(a20)
% 1.09/1.35 [243]P62(a3)
% 1.09/1.35 [244]P62(a2)
% 1.09/1.35 [245]P41(a1)
% 1.09/1.35 [246]P41(a20)
% 1.09/1.35 [247]P41(a3)
% 1.09/1.35 [248]P41(a2)
% 1.09/1.35 [249]P63(a20)
% 1.09/1.35 [250]P63(a3)
% 1.09/1.35 [251]P63(a2)
% 1.09/1.35 [252]P17(a1)
% 1.09/1.35 [253]P17(a20)
% 1.09/1.35 [254]P17(a3)
% 1.09/1.35 [255]P17(a2)
% 1.09/1.35 [256]P12(a1)
% 1.09/1.35 [257]P12(a20)
% 1.09/1.35 [258]P12(a3)
% 1.09/1.35 [259]P12(a2)
% 1.09/1.35 [260]P42(a1)
% 1.09/1.35 [261]P42(a20)
% 1.09/1.35 [262]P42(a3)
% 1.09/1.35 [263]P42(a2)
% 1.09/1.35 [264]P15(a1)
% 1.09/1.35 [265]P15(a20)
% 1.09/1.35 [266]P15(a3)
% 1.09/1.35 [267]P15(a2)
% 1.09/1.35 [268]P16(a1)
% 1.09/1.35 [269]P16(a20)
% 1.09/1.35 [270]P16(a3)
% 1.09/1.35 [271]P16(a2)
% 1.09/1.35 [272]P64(a20)
% 1.09/1.35 [273]P64(a3)
% 1.09/1.35 [274]P64(a2)
% 1.09/1.35 [275]P65(a20)
% 1.09/1.35 [276]P65(a3)
% 1.09/1.35 [277]P65(a2)
% 1.09/1.35 [278]P13(a1)
% 1.09/1.35 [279]P13(a20)
% 1.09/1.35 [280]P13(a3)
% 1.09/1.35 [281]P13(a2)
% 1.09/1.35 [282]P50(a1)
% 1.09/1.35 [283]P50(a20)
% 1.09/1.35 [284]P50(a2)
% 1.09/1.35 [285]P26(a1)
% 1.09/1.35 [286]P26(a20)
% 1.09/1.35 [287]P26(a3)
% 1.09/1.35 [288]P26(a2)
% 1.09/1.35 [290]P2(f10(a1),a1)
% 1.09/1.35 [298]P3(a21,f4(a20),a20)
% 1.09/1.35 [299]P3(f10(a20),a22,a20)
% 1.09/1.35 [300]P3(f10(a20),a21,a20)
% 1.09/1.35 [314]P3(f10(a20),f16(a21,a23,a20),a20)
% 1.09/1.35 [340]~E(f10(a1),a23)
% 1.09/1.35 [341]~E(f4(a20),f10(a20))
% 1.09/1.35 [342]~P2(f4(a1),a1)
% 1.09/1.35 [289]E(f9(f4(a20)),f10(a20))
% 1.09/1.35 [291]E(f11(f10(a20),a20),f10(a20))
% 1.09/1.35 [292]E(f15(f10(a20),a20),f4(a20))
% 1.09/1.35 [293]E(f5(f10(a20),a20),f10(a20))
% 1.09/1.35 [315]P3(f12(a23,f4(a1),a1),a24,a1)
% 1.09/1.35 [346]~E(f12(a23,f4(a1),a1),a24)
% 1.09/1.35 [360]~P3(f10(a20),f13(f10(a20),f10(a20),a20),a20)
% 1.09/1.35 [325]E(f12(f13(f10(a20),f10(a20),a20),f13(f10(a20),f10(a20),a20),a20),f10(a20))
% 1.09/1.35 [337]P3(a21,f5(f13(f16(f18(a25,a3),f12(a23,f4(a1),a1),a20),a22,a20),a20),a20)
% 1.09/1.35 [338]P3(f10(a20),f5(f13(f16(f18(a25,a3),f12(a23,f4(a1),a1),a20),a22,a20),a20),a20)
% 1.09/1.35 [339]P3(f13(a21,f13(f16(f18(a25,a3),f12(a23,f4(a1),a1),a20),a22,a20),a20),f4(a20),a20)
% 1.09/1.35 [361]~P3(f13(f16(a21,a23,a20),f13(a21,f13(f16(f18(a25,a3),f12(a23,f4(a1),a1),a20),a22,a20),a20),a20),f13(f16(a21,a23,a20),f4(a20),a20),a20)
% 1.09/1.35 [297]P4(x2971,x2971,a20)
% 1.09/1.35 [344]~P3(x3441,x3441,a1)
% 1.09/1.35 [345]~P3(x3451,x3451,a20)
% 1.09/1.35 [309]P4(f10(a20),f15(x3091,a20),a20)
% 1.09/1.35 [310]P3(f10(a20),f15(x3101,a20),a20)
% 1.09/1.35 [348]~P3(x3481,f10(a1),a1)
% 1.09/1.35 [356]~P4(f15(x3561,a20),f10(a20),a20)
% 1.09/1.35 [357]~P3(f15(x3571,a20),f10(a20),a20)
% 1.09/1.35 [296]E(f9(f15(x2961,a20)),x2961)
% 1.09/1.35 [302]E(f12(x3021,f10(a1),a1),x3021)
% 1.09/1.35 [303]E(f12(f10(a1),x3031,a1),x3031)
% 1.09/1.35 [304]E(f13(f4(a20),x3041,a20),x3041)
% 1.09/1.35 [305]E(f16(x3051,f10(a1),a20),f4(a20))
% 1.09/1.35 [317]P3(x3171,f12(x3171,f4(a1),a1),a1)
% 1.09/1.35 [319]P3(f10(a1),f12(x3191,f4(a1),a1),a1)
% 1.09/1.35 [350]~E(f12(x3501,f4(a1),a1),x3501)
% 1.09/1.35 [354]~E(f12(x3541,f4(a1),a1),f10(a1))
% 1.09/1.35 [311]E(f12(x3111,x3112,a1),f12(x3112,x3111,a1))
% 1.09/1.35 [312]E(f13(x3121,x3122,a20),f13(x3122,x3121,a20))
% 1.09/1.35 [358]~P3(f12(x3581,x3582,a1),x3582,a1)
% 1.09/1.35 [359]~P3(f12(x3591,x3592,a1),x3591,a1)
% 1.09/1.35 [332]P3(x3321,f12(f12(x3322,x3321,a1),f4(a1),a1),a1)
% 1.09/1.35 [334]P3(x3341,f12(f12(x3341,x3342,a1),f4(a1),a1),a1)
% 1.09/1.35 [336]P4(f10(a20),f12(f13(x3361,x3361,a20),f13(x3362,x3362,a20),a20),a20)
% 1.09/1.35 [330]E(f12(f12(x3301,f4(a1),a1),x3302,a1),f12(f12(x3301,x3302,a1),f4(a1),a1))
% 1.09/1.35 [331]E(f12(f12(x3311,f4(a1),a1),x3312,a1),f12(x3311,f12(x3312,f4(a1),a1),a1))
% 1.09/1.35 [326]E(f12(x3261,f12(x3262,x3263,a1),a1),f12(x3262,f12(x3261,x3263,a1),a1))
% 1.09/1.35 [327]E(f12(f12(x3271,x3272,a1),x3273,a1),f12(x3271,f12(x3272,x3273,a1),a1))
% 1.09/1.35 [328]E(f13(f13(x3281,x3282,a20),x3283,a20),f13(x3281,f13(x3282,x3283,a20),a20))
% 1.09/1.35 [335]E(f12(f13(x3351,x3352,a20),f13(x3353,x3352,a20),a20),f13(f12(x3351,x3353,a20),x3352,a20))
% 1.09/1.35 [363]~P66(x3631)+~E(f4(x3631),f10(x3631))
% 1.09/1.35 [364]E(x3641,f10(a20))+~E(f15(x3641,a20),f4(a20))
% 1.09/1.35 [400]E(x4001,f10(a1))+P3(f10(a1),x4001,a1)
% 1.09/1.35 [434]P2(x4341,a1)+P3(f10(a1),x4341,a1)
% 1.09/1.35 [455]~P53(x4551)+P4(f10(x4551),f4(x4551),x4551)
% 1.09/1.35 [456]~P53(x4561)+P3(f10(x4561),f4(x4561),x4561)
% 1.09/1.35 [501]~P3(f10(a20),x5011,a20)+E(f11(x5011,a20),f4(a20))
% 1.09/1.35 [516]~P53(x5161)+~P4(f4(x5161),f10(x5161),x5161)
% 1.09/1.35 [517]~P53(x5171)+~P3(f4(x5171),f10(x5171),x5171)
% 1.09/1.35 [567]P3(f9(x5671),x5671,a20)+~P3(f10(a20),x5671,a20)
% 1.09/1.35 [579]~P4(f4(a20),x5791,a20)+P4(f10(a20),f9(x5791),a20)
% 1.09/1.35 [580]~P3(f4(a20),x5801,a20)+P3(f10(a20),f9(x5801),a20)
% 1.09/1.35 [589]E(x5891,f10(a20))+P3(f10(a20),f13(x5891,x5891,a20),a20)
% 1.09/1.35 [590]~P4(f10(a20),x5901,a20)+P4(f4(a20),f15(x5901,a20),a20)
% 1.09/1.35 [591]~P3(f10(a20),x5911,a20)+P3(f4(a20),f15(x5911,a20),a20)
% 1.09/1.35 [592]~P4(x5921,f10(a20),a20)+P4(f15(x5921,a20),f4(a20),a20)
% 1.09/1.35 [593]~P3(x5931,f10(a20),a20)+P3(f15(x5931,a20),f4(a20),a20)
% 1.09/1.35 [630]P4(x6301,f10(a20),a20)+~P4(f15(x6301,a20),f4(a20),a20)
% 1.09/1.35 [631]P3(x6311,f10(a20),a20)+~P3(f15(x6311,a20),f4(a20),a20)
% 1.09/1.35 [632]P4(f10(a20),x6321,a20)+~P4(f4(a20),f15(x6321,a20),a20)
% 1.09/1.35 [633]P3(f10(a20),x6331,a20)+~P3(f4(a20),f15(x6331,a20),a20)
% 1.09/1.35 [365]~P39(x3651)+E(f18(f10(x3651),x3651),f10(a20))
% 1.09/1.35 [366]~P38(x3661)+E(f18(f4(x3661),x3661),f4(a20))
% 1.09/1.35 [368]~P10(x3681)+E(f14(f10(x3681),x3681),f10(x3681))
% 1.09/1.35 [369]~P23(x3691)+E(f14(f10(x3691),x3691),f10(x3691))
% 1.09/1.35 [370]~P44(x3701)+E(f11(f10(x3701),x3701),f10(x3701))
% 1.09/1.35 [371]~P39(x3711)+E(f11(f10(x3711),x3711),f10(x3711))
% 1.09/1.35 [372]~P52(x3721)+E(f11(f10(x3721),x3721),f10(x3721))
% 1.09/1.35 [373]~P38(x3731)+E(f11(f4(x3731),x3731),f4(x3731))
% 1.09/1.35 [374]~P20(x3741)+E(f5(f10(x3741),x3741),f10(x3741))
% 1.09/1.35 [375]~P43(x3751)+E(f5(f4(x3751),x3751),f4(x3751))
% 1.09/1.35 [410]E(x4101,f10(a20))+E(f13(f19(x4101),x4101,a20),f4(a20))
% 1.09/1.35 [458]~P24(x4581)+E(f12(f10(x4581),f10(x4581),x4581),f10(x4581))
% 1.09/1.35 [466]E(x4661,f10(a20))+E(f13(f5(x4661,a20),x4661,a20),f4(a20))
% 1.09/1.35 [471]P3(f10(a20),x4711,a20)+~E(f15(f9(x4711),a20),x4711)
% 1.09/1.35 [496]~P39(x4961)+P4(f18(f10(x4961),x4961),f10(a20),a20)
% 1.09/1.35 [509]~P3(f10(a20),x5091,a20)+E(f15(f9(x5091),a20),x5091)
% 1.09/1.35 [551]P2(x5511,a1)+P2(f12(x5511,f4(a1),a1),a1)
% 1.09/1.35 [581]~P39(x5811)+~P3(f10(a20),f18(f10(x5811),x5811),a20)
% 1.09/1.35 [684]~P53(x6841)+P3(f10(x6841),f12(f4(x6841),f4(x6841),x6841),x6841)
% 1.09/1.35 [718]~P2(x7181,a1)+~P2(f12(x7181,f4(a1),a1),a1)
% 1.09/1.35 [794]E(x7941,f10(a1))+~P3(x7941,f12(f10(a1),f4(a1),a1),a1)
% 1.09/1.35 [807]~P4(f10(a20),x8071,a20)+P4(f12(f4(a20),x8071,a20),f15(x8071,a20),a20)
% 1.09/1.35 [407]~P39(x4071)+E(f18(f11(f10(x4071),x4071),x4071),f10(a20))
% 1.09/1.35 [867]~P54(x8671)+E(f12(f13(f10(x8671),f10(x8671),x8671),f13(f10(x8671),f10(x8671),x8671),x8671),f10(x8671))
% 1.09/1.35 [985]~P4(f10(a20),x9851,a20)+P4(f9(f12(f4(a20),x9851,a20)),x9851,a20)
% 1.09/1.35 [1241]~P54(x12411)+P4(f12(f13(f10(x12411),f10(x12411),x12411),f13(f10(x12411),f10(x12411),x12411),x12411),f10(x12411),x12411)
% 1.09/1.35 [1325]~P54(x13251)+~P3(f10(x13251),f12(f13(f10(x13251),f10(x13251),x13251),f13(f10(x13251),f10(x13251),x13251),x13251),x13251)
% 1.09/1.35 [1298]E(x12981,f10(a20))+E(f13(x12981,f16(f5(x12981,a20),f12(f12(f10(a1),f4(a1),a1),f4(a1),a1),a20),a20),f5(x12981,a20))
% 1.09/1.35 [405]~P22(x4052)+P4(x4051,x4051,x4052)
% 1.09/1.35 [406]~P33(x4062)+P4(x4061,x4061,x4062)
% 1.09/1.35 [485]~P3(x4852,x4852,x4851)+~P22(x4851)
% 1.09/1.35 [486]~P3(x4862,x4862,x4861)+~P33(x4861)
% 1.09/1.35 [487]~P3(x4872,x4872,x4871)+~P28(x4871)
% 1.09/1.35 [504]P4(x5042,x5041,a20)+P4(x5041,x5042,a20)
% 1.09/1.35 [553]~P3(x5531,x5532,a20)+P4(x5531,x5532,a20)
% 1.09/1.35 [386]E(x3861,x3862)+~E(f15(x3861,a20),f15(x3862,a20))
% 1.09/1.35 [408]~P14(x4082)+E(f13(x4081,x4081,x4082),x4081)
% 1.09/1.35 [411]~P5(x4112)+E(f8(x4111,x4111,x4112),f10(x4112))
% 1.09/1.35 [413]~P10(x4132)+E(f8(x4131,x4131,x4132),f10(x4132))
% 1.09/1.35 [473]~E(f12(x4732,x4731,a1),x4732)+E(x4731,f10(a1))
% 1.09/1.35 [475]~P39(x4752)+P4(f10(a20),f18(x4751,x4752),a20)
% 1.09/1.35 [477]E(x4771,f10(a1))+~E(f12(x4772,x4771,a1),f10(a1))
% 1.09/1.35 [478]E(x4781,f10(a1))+~E(f12(x4781,x4782,a1),f10(a1))
% 1.09/1.35 [552]~P39(x5521)+~P3(f18(x5522,x5521),f10(a20),a20)
% 1.09/1.35 [606]~P54(x6061)+P4(f10(x6061),f13(x6062,x6062,x6061),x6061)
% 1.09/1.35 [642]~P4(x6421,x6422,a20)+P4(f15(x6421,a20),f15(x6422,a20),a20)
% 1.09/1.35 [643]~P3(x6431,x6432,a20)+P3(f15(x6431,a20),f15(x6432,a20),a20)
% 1.09/1.35 [705]P4(x7051,x7052,a20)+~P4(f15(x7051,a20),f15(x7052,a20),a20)
% 1.09/1.35 [706]P3(x7061,x7062,a20)+~P3(f15(x7061,a20),f15(x7062,a20),a20)
% 1.09/1.35 [804]~P54(x8041)+~P3(f13(x8042,x8042,x8041),f10(x8041),x8041)
% 1.09/1.35 [391]~P10(x3912)+E(f14(f14(x3911,x3912),x3912),x3911)
% 1.09/1.35 [392]~P9(x3922)+E(f14(f14(x3921,x3922),x3922),x3921)
% 1.09/1.35 [403]~P44(x4032)+E(f11(f11(x4031,x4032),x4032),f11(x4031,x4032))
% 1.09/1.35 [404]~P39(x4042)+E(f18(f14(x4041,x4042),x4042),f18(x4041,x4042))
% 1.09/1.35 [414]~P25(x4142)+E(f16(x4141,f4(a1),x4142),x4141)
% 1.09/1.35 [415]~P41(x4152)+E(f16(x4151,f4(a1),x4152),x4151)
% 1.09/1.35 [416]~P1(x4162)+E(f6(x4161,f4(x4162),x4162),x4161)
% 1.09/1.35 [417]~P10(x4172)+E(f8(x4171,f10(x4172),x4172),x4171)
% 1.09/1.35 [418]~P19(x4182)+E(f7(x4181,f4(x4182),x4182),x4181)
% 1.09/1.35 [419]~P11(x4192)+E(f12(x4191,f10(x4192),x4192),x4191)
% 1.09/1.35 [420]~P41(x4202)+E(f12(x4201,f10(x4202),x4202),x4201)
% 1.09/1.35 [421]~P26(x4212)+E(f12(x4211,f10(x4212),x4212),x4211)
% 1.09/1.35 [422]~P25(x4222)+E(f13(x4221,f4(x4222),x4222),x4221)
% 1.09/1.35 [423]~P41(x4232)+E(f13(x4231,f4(x4232),x4232),x4231)
% 1.09/1.35 [424]~P11(x4241)+E(f12(f10(x4241),x4242,x4241),x4242)
% 1.09/1.35 [426]~P41(x4261)+E(f12(f10(x4261),x4262,x4261),x4262)
% 1.09/1.35 [427]~P26(x4271)+E(f12(f10(x4271),x4272,x4271),x4272)
% 1.09/1.35 [428]~P25(x4281)+E(f13(f4(x4281),x4282,x4281),x4282)
% 1.09/1.35 [430]~P41(x4301)+E(f13(f4(x4301),x4302,x4301),x4302)
% 1.09/1.35 [431]~P17(x4311)+E(f13(f4(x4311),x4312,x4311),x4312)
% 1.09/1.35 [432]~P37(x4322)+E(f16(x4321,f10(a1),x4322),f4(x4322))
% 1.09/1.35 [433]~P41(x4332)+E(f16(x4331,f10(a1),x4332),f4(x4332))
% 1.09/1.35 [438]~P1(x4382)+E(f6(x4381,f10(x4382),x4382),f10(x4382))
% 1.09/1.35 [440]~P35(x4402)+E(f13(x4401,f10(x4402),x4402),f10(x4402))
% 1.09/1.35 [441]~P47(x4412)+E(f13(x4411,f10(x4412),x4412),f10(x4412))
% 1.09/1.35 [442]~P41(x4422)+E(f13(x4421,f10(x4422),x4422),f10(x4422))
% 1.09/1.35 [443]~P64(x4432)+E(f13(x4431,f10(x4432),x4432),f10(x4432))
% 1.09/1.35 [444]~P1(x4441)+E(f6(f10(x4441),x4442,x4441),f10(x4441))
% 1.09/1.35 [445]~P19(x4451)+E(f7(f10(x4451),x4452,x4451),f10(x4451))
% 1.09/1.35 [446]~P21(x4461)+E(f7(f10(x4461),x4462,x4461),f10(x4461))
% 1.09/1.35 [447]~P25(x4471)+E(f16(f4(x4471),x4472,x4471),f4(x4471))
% 1.09/1.35 [449]~P35(x4491)+E(f13(f10(x4491),x4492,x4491),f10(x4491))
% 1.09/1.35 [450]~P47(x4501)+E(f13(f10(x4501),x4502,x4501),f10(x4501))
% 1.09/1.35 [452]~P41(x4521)+E(f13(f10(x4521),x4522,x4521),f10(x4521))
% 1.09/1.35 [453]~P64(x4531)+E(f13(f10(x4531),x4532,x4531),f10(x4531))
% 1.09/1.35 [463]~P19(x4631)+E(f7(f4(x4631),x4632,x4631),f5(x4632,x4631))
% 1.09/1.35 [464]~P10(x4641)+E(f8(f10(x4641),x4642,x4641),f14(x4642,x4641))
% 1.09/1.35 [469]~P39(x4692)+E(f14(f11(x4691,x4692),x4692),f11(f14(x4691,x4692),x4692))
% 1.09/1.35 [479]~P10(x4792)+E(f12(x4791,f14(x4791,x4792),x4792),f10(x4792))
% 1.09/1.35 [480]~P5(x4802)+E(f12(f14(x4801,x4802),x4801,x4802),f10(x4802))
% 1.09/1.35 [482]~P10(x4822)+E(f12(f14(x4821,x4822),x4821,x4822),f10(x4822))
% 1.09/1.35 [596]~P18(x5962)+E(f13(f14(x5961,x5962),f14(x5961,x5962),x5962),f13(x5961,x5961,x5962))
% 1.09/1.35 [628]~P53(x6282)+P3(x6281,f12(x6281,f4(x6282),x6282),x6282)
% 1.09/1.35 [629]~P44(x6291)+P3(f10(x6291),f16(x6292,f10(a1),x6291),x6291)
% 1.09/1.35 [733]P3(x7331,x7332,a1)+P3(x7332,f12(x7331,f4(a1),a1),a1)
% 1.09/1.35 [819]~P44(x8191)+~P4(f16(x8192,f10(a1),x8191),f10(x8191),x8191)
% 1.09/1.35 [904]~P3(x9041,x9042,a1)+~P3(x9042,f12(x9041,f4(a1),a1),a1)
% 1.09/1.35 [1029]E(x10291,f10(a20))+~E(f12(f13(x10292,x10292,a20),f13(x10291,x10291,a20),a20),f10(a20))
% 1.09/1.35 [1030]E(x10301,f10(a20))+~E(f12(f13(x10301,x10301,a20),f13(x10302,x10302,a20),a20),f10(a20))
% 1.09/1.35 [1111]P3(x11111,x11112,a1)+~P3(f12(x11111,f4(a1),a1),f12(x11112,f4(a1),a1),a1)
% 1.09/1.35 [1176]E(x11761,f10(a20))+P3(f10(a20),f12(f13(x11762,x11762,a20),f13(x11761,x11761,a20),a20),a20)
% 1.09/1.35 [1177]E(x11771,f10(a20))+P3(f10(a20),f12(f13(x11771,x11771,a20),f13(x11772,x11772,a20),a20),a20)
% 1.09/1.35 [518]~P6(x5181)+E(f13(f14(f4(x5181),x5181),x5182,x5181),f14(x5182,x5181))
% 1.09/1.35 [785]~P41(x7852)+E(f12(x7851,x7851,x7852),f13(f12(f4(x7852),f4(x7852),x7852),x7851,x7852))
% 1.09/1.35 [522]~P11(x5223)+E(f12(x5221,x5222,x5223),f12(x5222,x5221,x5223))
% 1.09/1.35 [524]~P41(x5243)+E(f12(x5241,x5242,x5243),f12(x5242,x5241,x5243))
% 1.09/1.35 [526]~P41(x5263)+E(f13(x5261,x5262,x5263),f13(x5262,x5261,x5263))
% 1.09/1.35 [598]E(x5981,x5982)+~E(f12(x5983,x5981,a1),f12(x5983,x5982,a1))
% 1.09/1.35 [599]E(x5991,x5992)+~E(f12(x5991,x5993,a1),f12(x5992,x5993,a1))
% 1.09/1.35 [770]~P3(x7701,x7703,a1)+P3(x7701,f12(x7702,x7703,a1),a1)
% 1.09/1.35 [772]~P3(x7721,x7722,a1)+P3(x7721,f12(x7722,x7723,a1),a1)
% 1.09/1.35 [844]P3(x8441,x8442,a1)+~P3(f12(x8441,x8443,a1),x8442,a1)
% 1.09/1.35 [911]~P4(x9112,x9113,a20)+P4(f12(x9111,x9112,a20),f12(x9111,x9113,a20),a20)
% 1.09/1.35 [912]~P3(x9121,x9123,a1)+P3(f12(x9121,x9122,a1),f12(x9123,x9122,a1),a1)
% 1.09/1.35 [913]~P3(x9132,x9133,a1)+P3(f12(x9131,x9132,a1),f12(x9131,x9133,a1),a1)
% 1.09/1.35 [1103]P3(x11031,x11032,a1)+~P3(f12(x11033,x11031,a1),f12(x11033,x11032,a1),a1)
% 1.09/1.35 [559]~P5(x5593)+E(f12(x5591,f14(x5592,x5593),x5593),f8(x5591,x5592,x5593))
% 1.09/1.35 [560]~P10(x5603)+E(f12(x5601,f14(x5602,x5603),x5603),f8(x5601,x5602,x5603))
% 1.09/1.35 [561]~P6(x5613)+E(f12(x5611,f14(x5612,x5613),x5613),f8(x5611,x5612,x5613))
% 1.09/1.35 [562]~P19(x5623)+E(f13(x5621,f5(x5622,x5623),x5623),f7(x5621,x5622,x5623))
% 1.09/1.35 [563]~P10(x5633)+E(f8(x5631,f14(x5632,x5633),x5633),f12(x5631,x5632,x5633))
% 1.09/1.35 [594]~P55(x5942)+E(f13(f14(x5941,x5942),x5943,x5942),f13(x5941,f14(x5943,x5942),x5942))
% 1.09/1.35 [595]~P55(x5952)+E(f13(f14(x5951,x5952),f14(x5953,x5952),x5952),f13(x5951,x5953,x5952))
% 1.09/1.35 [600]~P10(x6003)+E(f8(f12(x6001,x6002,x6003),x6002,x6003),x6001)
% 1.09/1.35 [601]~P10(x6013)+E(f12(f8(x6011,x6012,x6013),x6012,x6013),x6011)
% 1.09/1.35 [641]~P5(x6413)+E(f14(f8(x6411,x6412,x6413),x6413),f8(x6412,x6411,x6413))
% 1.09/1.35 [673]~P5(x6732)+E(f12(f14(x6731,x6732),f12(x6733,x6731,x6732),x6732),x6733)
% 1.09/1.35 [674]~P10(x6742)+E(f12(f14(x6741,x6742),f12(x6741,x6743,x6742),x6742),x6743)
% 1.09/1.35 [696]~P34(x6963)+E(f18(f16(x6961,x6962,x6963),x6963),f16(f18(x6961,x6963),x6962,a20))
% 1.09/1.35 [697]~P55(x6973)+E(f13(x6971,f14(x6972,x6973),x6973),f14(f13(x6971,x6972,x6973),x6973))
% 1.09/1.35 [698]~P19(x6982)+E(f7(f14(x6981,x6982),x6983,x6982),f14(f7(x6981,x6983,x6982),x6982))
% 1.09/1.35 [699]~P55(x6992)+E(f13(f14(x6991,x6992),x6993,x6992),f14(f13(x6991,x6993,x6992),x6992))
% 1.09/1.35 [701]~P35(x7013)+E(f13(x7011,f14(x7012,x7013),x7013),f14(f13(x7011,x7012,x7013),x7013))
% 1.09/1.35 [702]~P21(x7022)+E(f7(f14(x7021,x7022),x7023,x7022),f14(f7(x7021,x7023,x7022),x7022))
% 1.09/1.35 [704]~P35(x7042)+E(f13(f14(x7041,x7042),x7043,x7042),f14(f13(x7041,x7043,x7042),x7042))
% 1.09/1.35 [744]~P14(x7443)+E(f13(x7441,f13(x7441,x7442,x7443),x7443),f13(x7441,x7442,x7443))
% 1.09/1.35 [748]~P34(x7482)+E(f13(f18(x7481,x7482),f18(x7483,x7482),a20),f18(f13(x7481,x7483,x7482),x7482))
% 1.09/1.35 [749]~P10(x7492)+E(f12(f14(x7491,x7492),f14(x7493,x7492),x7492),f14(f12(x7493,x7491,x7492),x7492))
% 1.09/1.35 [750]~P5(x7502)+E(f12(f14(x7501,x7502),f14(x7503,x7502),x7502),f14(f12(x7501,x7503,x7502),x7502))
% 1.09/1.35 [751]~P44(x7512)+E(f13(f11(x7511,x7512),f11(x7513,x7512),x7512),f11(f13(x7511,x7513,x7512),x7512))
% 1.09/1.35 [752]~P34(x7522)+E(f13(f11(x7521,x7522),f11(x7523,x7522),x7522),f11(f13(x7521,x7523,x7522),x7522))
% 1.09/1.35 [753]~P5(x7532)+E(f8(f14(x7531,x7532),f14(x7533,x7532),x7532),f14(f8(x7531,x7533,x7532),x7532))
% 1.09/1.35 [788]~P39(x7883)+E(f18(f8(x7881,x7882,x7883),x7883),f18(f8(x7882,x7881,x7883),x7883))
% 1.09/1.35 [879]~P25(x8793)+E(f13(f16(x8791,x8792,x8793),x8791,x8793),f13(x8791,f16(x8791,x8792,x8793),x8793))
% 1.09/1.35 [1034]~P63(x10341)+E(f13(f16(f14(f4(x10341),x10341),x10342,x10341),f16(x10343,x10342,x10341),x10341),f16(f14(x10343,x10341),x10342,x10341))
% 1.09/1.35 [1078]~P38(x10783)+P4(f18(f16(x10781,x10782,x10783),x10783),f16(f18(x10781,x10783),x10782,a20),a20)
% 1.09/1.35 [1122]~P39(x11223)+P4(f18(f8(x11221,x11222,x11223),x11223),f12(f18(x11221,x11223),f18(x11222,x11223),a20),a20)
% 1.09/1.35 [1123]~P39(x11233)+P4(f18(f12(x11231,x11232,x11233),x11233),f12(f18(x11231,x11233),f18(x11232,x11233),a20),a20)
% 1.09/1.35 [1124]~P35(x11243)+P4(f18(f13(x11241,x11242,x11243),x11243),f13(f18(x11241,x11243),f18(x11242,x11243),a20),a20)
% 1.09/1.35 [1211]~P54(x12111)+P4(f10(x12111),f12(f13(x12112,x12112,x12111),f13(x12113,x12113,x12111),x12111),x12111)
% 1.09/1.35 [1301]~P54(x13011)+~P3(f12(f13(x13012,x13012,x13011),f13(x13013,x13013,x13011),x13011),f10(x13011),x13011)
% 1.09/1.35 [742]~P10(x7422)+E(f12(x7421,f12(f14(x7421,x7422),x7423,x7422),x7422),x7423)
% 1.09/1.35 [846]~P1(x8461)+E(f6(f13(f10(x8461),x8462,x8461),f13(f10(x8461),x8463,x8461),x8461),f10(x8461))
% 1.09/1.35 [891]~P41(x8913)+E(f13(x8911,f16(x8911,x8912,x8913),x8913),f16(x8911,f12(x8912,f4(a1),a1),x8913))
% 1.09/1.35 [892]~P41(x8923)+E(f13(f16(x8921,x8922,x8923),x8921,x8923),f16(x8921,f12(x8922,f4(a1),a1),x8923))
% 1.09/1.35 [893]~P37(x8933)+E(f16(x8931,f12(x8932,f4(a1),a1),x8933),f13(x8931,f16(x8931,x8932,x8933),x8933))
% 1.09/1.35 [895]~P41(x8953)+E(f16(x8951,f12(x8952,f4(a1),a1),x8953),f13(x8951,f16(x8951,x8952,x8953),x8953))
% 1.09/1.35 [896]~P25(x8963)+E(f16(x8961,f12(x8962,f4(a1),a1),x8963),f13(f16(x8961,x8962,x8963),x8961,x8963))
% 1.09/1.35 [907]~P41(x9073)+E(f12(x9071,f13(x9072,x9071,x9073),x9073),f13(f12(x9072,f4(x9073),x9073),x9071,x9073))
% 1.09/1.35 [908]~P41(x9083)+E(f12(f13(x9081,x9082,x9083),x9082,x9083),f13(f12(x9081,f4(x9083),x9083),x9082,x9083))
% 1.09/1.35 [868]~P5(x8684)+E(f12(x8681,f12(x8682,x8683,x8684),x8684),f12(x8682,f12(x8681,x8683,x8684),x8684))
% 1.09/1.35 [869]~P11(x8694)+E(f12(x8691,f12(x8692,x8693,x8694),x8694),f12(x8692,f12(x8691,x8693,x8694),x8694))
% 1.09/1.35 [870]~P41(x8704)+E(f12(x8701,f12(x8702,x8703,x8704),x8704),f12(x8702,f12(x8701,x8703,x8704),x8704))
% 1.09/1.35 [871]~P41(x8714)+E(f13(x8711,f13(x8712,x8713,x8714),x8714),f13(x8712,f13(x8711,x8713,x8714),x8714))
% 1.09/1.35 [876]~P11(x8763)+E(f12(f12(x8761,x8762,x8763),x8764,x8763),f12(x8761,f12(x8762,x8764,x8763),x8763))
% 1.09/1.35 [877]~P41(x8773)+E(f12(f12(x8771,x8772,x8773),x8774,x8773),f12(x8771,f12(x8772,x8774,x8773),x8773))
% 1.09/1.35 [878]~P13(x8783)+E(f12(f12(x8781,x8782,x8783),x8784,x8783),f12(x8781,f12(x8782,x8784,x8783),x8783))
% 1.09/1.35 [880]~P41(x8803)+E(f13(f13(x8801,x8802,x8803),x8804,x8803),f13(x8801,f13(x8802,x8804,x8803),x8803))
% 1.09/1.35 [881]~P12(x8813)+E(f13(f13(x8811,x8812,x8813),x8814,x8813),f13(x8811,f13(x8812,x8814,x8813),x8813))
% 1.09/1.35 [882]~P41(x8823)+E(f12(f12(x8821,x8822,x8823),x8824,x8823),f12(f12(x8821,x8824,x8823),x8822,x8823))
% 1.09/1.35 [883]~P41(x8833)+E(f13(f13(x8831,x8832,x8833),x8834,x8833),f13(f13(x8831,x8834,x8833),x8832,x8833))
% 1.09/1.35 [1039]~P25(x10393)+E(f13(f16(x10391,x10392,x10393),f16(x10391,x10394,x10393),x10393),f16(x10391,f12(x10392,x10394,a1),x10393))
% 1.09/1.35 [1040]~P41(x10403)+E(f13(f16(x10401,x10402,x10403),f16(x10401,x10404,x10403),x10403),f16(x10401,f12(x10402,x10404,a1),x10403))
% 1.09/1.35 [1043]~P35(x10433)+E(f8(f13(x10431,x10432,x10433),f13(x10431,x10434,x10433),x10433),f13(x10431,f8(x10432,x10434,x10433),x10433))
% 1.09/1.35 [1045]~P35(x10453)+E(f12(f13(x10451,x10452,x10453),f13(x10451,x10454,x10453),x10453),f13(x10451,f12(x10452,x10454,x10453),x10453))
% 1.09/1.35 [1046]~P41(x10463)+E(f12(f13(x10461,x10462,x10463),f13(x10461,x10464,x10463),x10463),f13(x10461,f12(x10462,x10464,x10463),x10463))
% 1.09/1.35 [1047]~P19(x10473)+E(f8(f7(x10471,x10472,x10473),f7(x10474,x10472,x10473),x10473),f7(f8(x10471,x10474,x10473),x10472,x10473))
% 1.09/1.35 [1048]~P21(x10483)+E(f8(f7(x10481,x10482,x10483),f7(x10484,x10482,x10483),x10483),f7(f8(x10481,x10484,x10483),x10482,x10483))
% 1.09/1.35 [1049]~P19(x10493)+E(f12(f7(x10491,x10492,x10493),f7(x10494,x10492,x10493),x10493),f7(f12(x10491,x10494,x10493),x10492,x10493))
% 1.09/1.35 [1050]~P21(x10503)+E(f12(f7(x10501,x10502,x10503),f7(x10504,x10502,x10503),x10503),f7(f12(x10501,x10504,x10503),x10502,x10503))
% 1.09/1.35 [1051]~P41(x10513)+E(f13(f16(x10511,x10512,x10513),f16(x10514,x10512,x10513),x10513),f16(f13(x10511,x10514,x10513),x10512,x10513))
% 1.09/1.35 [1052]~P17(x10523)+E(f13(f16(x10521,x10522,x10523),f16(x10524,x10522,x10523),x10523),f16(f13(x10521,x10524,x10523),x10522,x10523))
% 1.09/1.35 [1054]~P35(x10543)+E(f8(f13(x10541,x10542,x10543),f13(x10544,x10542,x10543),x10543),f13(f8(x10541,x10544,x10543),x10542,x10543))
% 1.09/1.35 [1056]~P35(x10563)+E(f12(f13(x10561,x10562,x10563),f13(x10564,x10562,x10563),x10563),f13(f12(x10561,x10564,x10563),x10562,x10563))
% 1.09/1.35 [1058]~P42(x10583)+E(f12(f13(x10581,x10582,x10583),f13(x10584,x10582,x10583),x10583),f13(f12(x10581,x10584,x10583),x10582,x10583))
% 1.09/1.35 [1059]~P41(x10593)+E(f12(f13(x10591,x10592,x10593),f13(x10594,x10592,x10593),x10593),f13(f12(x10591,x10594,x10593),x10592,x10593))
% 1.09/1.35 [1145]~P5(x11453)+E(f8(f12(x11451,x11452,x11453),f12(x11454,x11455,x11453),x11453),f12(f8(x11451,x11454,x11453),f8(x11452,x11455,x11453),x11453))
% 1.09/1.35 [1146]~P41(x11463)+E(f12(f12(x11461,x11462,x11463),f12(x11464,x11465,x11463),x11463),f12(f12(x11461,x11464,x11463),f12(x11462,x11465,x11463),x11463))
% 1.09/1.35 [1147]~P41(x11473)+E(f13(f13(x11471,x11472,x11473),f13(x11474,x11475,x11473),x11473),f13(f13(x11471,x11474,x11473),f13(x11472,x11475,x11473),x11473))
% 1.09/1.35 [1295]~P62(x12953)+E(f12(f13(x12951,x12952,x12953),f12(f13(x12954,x12952,x12953),x12955,x12953),x12953),f12(f13(f12(x12951,x12954,x12953),x12952,x12953),x12955,x12953))
% 1.09/1.35 [1338]~P39(x13383)+P4(f18(f8(f12(x13381,x13382,x13383),f12(x13384,x13385,x13383),x13383),x13383),f12(f18(f8(x13381,x13384,x13383),x13383),f18(f8(x13382,x13385,x13383),x13383),a20),a20)
% 1.09/1.35 [1339]~P35(x13393)+E(f12(f12(f13(f8(x13391,x13392,x13393),f8(x13394,x13395,x13393),x13393),f13(f8(x13391,x13392,x13393),x13395,x13393),x13393),f13(x13392,f8(x13394,x13395,x13393),x13393),x13393),f8(f13(x13391,x13394,x13393),f13(x13392,x13395,x13393),x13393))
% 1.09/1.35 [1324]~P55(x13243)+E(f12(f13(x13241,x13242,x13243),f12(f13(f8(x13244,x13241,x13243),x13242,x13243),x13245,x13243),x13243),f12(f13(x13244,x13242,x13243),x13245,x13243))
% 1.09/1.35 [1337]~P36(x13374)+E(f12(f13(x13371,f7(f8(x13372,x13373,x13374),x13375,x13374),x13374),f13(f7(f8(x13371,x13376,x13374),x13375,x13374),x13373,x13374),x13374),f7(f8(f13(x13371,x13372,x13374),f13(x13376,x13373,x13374),x13374),x13375,x13374))
% 1.09/1.35 [499]~E(f9(x4991),f10(a20))+E(x4991,f4(a20))+~P3(f10(a20),x4991,a20)
% 1.09/1.35 [762]~P3(x7621,f4(a20),a20)+~P3(f10(a20),x7621,a20)+P3(f9(x7621),f10(a20),a20)
% 1.09/1.35 [777]~P3(f10(a20),x7771,a20)+~P3(f9(x7771),f10(a20),a20)+P3(x7771,f4(a20),a20)
% 1.09/1.35 [779]~P3(f10(a20),x7791,a20)+~P4(f10(a20),f9(x7791),a20)+P4(f4(a20),x7791,a20)
% 1.09/1.35 [781]~P3(f10(a20),x7811,a20)+~P3(f10(a20),f9(x7811),a20)+P3(f4(a20),x7811,a20)
% 1.09/1.35 [791]~P3(x7911,f4(a20),a20)+~P3(f10(a20),x7911,a20)+P3(f4(a20),f5(x7911,a20),a20)
% 1.09/1.35 [377]~P21(x3771)+~P51(x3771)+E(f15(f10(x3771),x3771),f4(x3771))
% 1.09/1.35 [379]~P19(x3791)+~P20(x3791)+E(f5(f4(x3791),x3791),f4(x3791))
% 1.09/1.35 [644]~P31(x6441)+~P4(f10(x6441),f10(x6441),x6441)+E(f12(f10(x6441),f10(x6441),x6441),f10(x6441))
% 1.09/1.35 [1236]E(x12361,f10(a1))+E(x12361,f12(f10(a1),f4(a1),a1))+~P3(x12361,f12(f12(f10(a1),f4(a1),a1),f4(a1),a1),a1)
% 1.09/1.35 [512]E(x5121,x5122)+P3(x5122,x5121,a1)+P3(x5121,x5122,a1)
% 1.09/1.35 [555]E(x5551,x5552)+P3(x5551,x5552,a20)+~P4(x5551,x5552,a20)
% 1.09/1.35 [602]E(x6021,x6022)+~P4(x6022,x6021,a20)+~P4(x6021,x6022,a20)
% 1.09/1.35 [376]~P23(x3762)+~E(f14(x3761,x3762),x3761)+E(x3761,f10(x3762))
% 1.09/1.35 [380]~P39(x3802)+E(x3801,f10(x3802))+~E(f18(x3801,x3802),f10(a20))
% 1.09/1.35 [381]~P10(x3812)+~E(f14(x3811,x3812),f10(x3812))+E(x3811,f10(x3812))
% 1.09/1.35 [382]~P44(x3822)+~E(f11(x3821,x3822),f10(x3822))+E(x3821,f10(x3822))
% 1.09/1.35 [383]~P39(x3832)+~E(f11(x3831,x3832),f10(x3832))+E(x3831,f10(x3832))
% 1.09/1.35 [384]~P43(x3842)+~E(f5(x3841,x3842),f10(x3842))+E(x3841,f10(x3842))
% 1.09/1.35 [385]~P10(x3851)+~E(f14(x3852,x3851),f10(x3851))+E(f10(x3851),x3852)
% 1.09/1.35 [387]~P21(x3872)+~P51(x3872)+~E(f15(x3871,x3872),f10(x3872))
% 1.09/1.35 [435]~P1(x4352)+E(f6(x4351,x4351,x4352),f4(x4352))+E(x4351,f10(x4352))
% 1.09/1.35 [437]~P19(x4372)+E(f7(x4371,x4371,x4372),f4(x4372))+E(x4371,f10(x4372))
% 1.09/1.35 [454]~P18(x4542)+~P6(x4542)+E(f8(x4541,x4541,x4542),f10(x4542))
% 1.09/1.35 [490]~P39(x4902)+E(x4901,f10(x4902))+P3(f10(a20),f18(x4901,x4902),a20)
% 1.09/1.35 [491]~P44(x4911)+P3(f10(x4911),x4912,x4911)+~E(f11(x4912,x4911),f4(x4911))
% 1.09/1.35 [503]~P24(x5032)+~E(f12(x5031,x5031,x5032),f10(x5032))+E(x5031,f10(x5032))
% 1.09/1.35 [538]~P44(x5382)+~P3(f10(x5382),x5381,x5382)+E(f11(x5381,x5382),f4(x5382))
% 1.09/1.35 [557]~P39(x5572)+E(x5571,f10(x5572))+~P4(f18(x5571,x5572),f10(a20),a20)
% 1.09/1.35 [566]P2(x5661,a1)+P2(x5662,a1)+P2(f12(x5662,x5661,a1),a1)
% 1.09/1.35 [586]~P2(x5862,a1)+~P2(x5861,a1)+P2(f12(x5861,x5862,a1),a1)
% 1.09/1.35 [647]~P23(x6472)+~P4(x6471,f10(x6472),x6472)+P4(x6471,f14(x6471,x6472),x6472)
% 1.09/1.35 [648]~P24(x6482)+~P4(x6481,f10(x6482),x6482)+P4(x6481,f14(x6481,x6482),x6482)
% 1.09/1.35 [649]~P44(x6492)+~P3(x6491,f10(x6492),x6492)+P3(x6491,f14(x6491,x6492),x6492)
% 1.09/1.35 [650]~P23(x6502)+~P4(f10(x6502),x6501,x6502)+P4(f14(x6501,x6502),x6501,x6502)
% 1.09/1.35 [651]~P24(x6512)+~P4(f10(x6512),x6511,x6512)+P4(f14(x6511,x6512),x6511,x6512)
% 1.09/1.35 [655]~P27(x6551)+~P4(x6552,f10(x6551),x6551)+P4(f10(x6551),f14(x6552,x6551),x6551)
% 1.09/1.35 [656]~P27(x6561)+~P3(x6562,f10(x6561),x6561)+P3(f10(x6561),f14(x6562,x6561),x6561)
% 1.09/1.35 [657]~P44(x6571)+~P3(f10(x6571),x6572,x6571)+P3(f10(x6571),f11(x6572,x6571),x6571)
% 1.09/1.35 [658]~P45(x6581)+~P3(f10(x6581),x6582,x6581)+P3(f10(x6581),f5(x6582,x6581),x6581)
% 1.09/1.35 [659]~P44(x6592)+~P3(x6591,f10(x6592),x6592)+P3(f11(x6591,x6592),f10(x6592),x6592)
% 1.09/1.35 [660]~P45(x6602)+~P3(x6601,f10(x6602),x6602)+P3(f5(x6601,x6602),f10(x6602),x6602)
% 1.09/1.35 [661]~P27(x6612)+~P4(f10(x6612),x6611,x6612)+P4(f14(x6611,x6612),f10(x6612),x6612)
% 1.09/1.35 [662]~P27(x6622)+~P3(f10(x6622),x6621,x6622)+P3(f14(x6621,x6622),f10(x6622),x6622)
% 1.09/1.35 [666]~P23(x6662)+~P4(x6661,f14(x6661,x6662),x6662)+P4(x6661,f10(x6662),x6662)
% 1.09/1.35 [667]~P24(x6672)+~P4(x6671,f14(x6671,x6672),x6672)+P4(x6671,f10(x6672),x6672)
% 1.09/1.35 [668]~P44(x6682)+~P3(x6681,f14(x6681,x6682),x6682)+P3(x6681,f10(x6682),x6682)
% 1.09/1.35 [669]~P23(x6691)+~P4(f14(x6692,x6691),x6692,x6691)+P4(f10(x6691),x6692,x6691)
% 1.09/1.35 [670]~P24(x6701)+~P4(f14(x6702,x6701),x6702,x6701)+P4(f10(x6701),x6702,x6701)
% 1.09/1.35 [690]~P27(x6902)+~P4(f10(x6902),f14(x6901,x6902),x6902)+P4(x6901,f10(x6902),x6902)
% 1.09/1.35 [691]~P27(x6912)+~P3(f10(x6912),f14(x6911,x6912),x6912)+P3(x6911,f10(x6912),x6912)
% 1.09/1.35 [692]~P44(x6922)+~P3(f11(x6921,x6922),f10(x6922),x6922)+P3(x6921,f10(x6922),x6922)
% 1.09/1.35 [693]~P44(x6931)+~P3(f10(x6931),f11(x6932,x6931),x6931)+P3(f10(x6931),x6932,x6931)
% 1.09/1.35 [694]~P27(x6941)+~P4(f14(x6942,x6941),f10(x6941),x6941)+P4(f10(x6941),x6942,x6941)
% 1.09/1.35 [695]~P27(x6951)+~P3(f14(x6952,x6951),f10(x6951),x6951)+P3(f10(x6951),x6952,x6951)
% 1.09/1.35 [738]P2(x7381,a1)+~P2(x7382,a1)+~P2(f12(x7382,x7381,a1),a1)
% 1.09/1.35 [740]P2(x7401,a1)+~P2(x7402,a1)+~P2(f12(x7401,x7402,a1),a1)
% 1.09/1.35 [797]~P24(x7971)+~P4(f10(x7971),x7972,x7971)+P4(f10(x7971),f12(x7972,x7972,x7971),x7971)
% 1.09/1.35 [800]~P24(x8001)+~P3(f10(x8001),x8002,x8001)+P3(f10(x8001),f12(x8002,x8002,x8001),x8001)
% 1.09/1.35 [801]~P24(x8012)+~P4(x8011,f10(x8012),x8012)+P4(f12(x8011,x8011,x8012),f10(x8012),x8012)
% 1.09/1.35 [802]~P44(x8022)+~P3(x8021,f10(x8022),x8022)+P3(f12(x8021,x8021,x8022),f10(x8022),x8022)
% 1.09/1.35 [803]~P24(x8032)+~P3(x8031,f10(x8032),x8032)+P3(f12(x8031,x8031,x8032),f10(x8032),x8032)
% 1.09/1.35 [885]~P24(x8852)+~P4(f12(x8851,x8851,x8852),f10(x8852),x8852)+P4(x8851,f10(x8852),x8852)
% 1.09/1.35 [887]~P44(x8872)+~P3(f12(x8871,x8871,x8872),f10(x8872),x8872)+P3(x8871,f10(x8872),x8872)
% 1.09/1.35 [888]~P24(x8882)+~P3(f12(x8881,x8881,x8882),f10(x8882),x8882)+P3(x8881,f10(x8882),x8882)
% 1.09/1.35 [889]~P24(x8891)+~P4(f10(x8891),f12(x8892,x8892,x8891),x8891)+P4(f10(x8891),x8892,x8891)
% 1.09/1.35 [890]~P24(x8901)+~P3(f10(x8901),f12(x8902,x8902,x8901),x8901)+P3(f10(x8901),x8902,x8901)
% 1.09/1.35 [903]~P3(f10(a20),x9032,a20)+~P3(f10(a20),x9031,a20)+P3(f10(a20),f13(x9031,x9032,a20),a20)
% 1.09/1.35 [947]P3(f10(a1),x9471,a1)+P3(f10(a1),x9472,a1)+~P3(f10(a1),f12(x9471,x9472,a1),a1)
% 1.09/1.35 [395]~P43(x3952)+E(x3951,f10(x3952))+E(f5(f5(x3951,x3952),x3952),x3951)
% 1.09/1.35 [398]~P39(x3982)+E(x3981,f10(x3982))+E(f18(f11(x3981,x3982),x3982),f4(a20))
% 1.09/1.35 [399]~P20(x3992)+~P43(x3992)+E(f5(f5(x3991,x3992),x3992),x3991)
% 1.09/1.35 [457]~P18(x4572)+~P6(x4572)+E(f12(x4571,f10(x4572),x4572),x4571)
% 1.09/1.35 [462]~P19(x4622)+~P20(x4622)+E(f7(x4621,f10(x4622),x4622),f10(x4622))
% 1.09/1.35 [476]~P34(x4762)+E(x4761,f10(x4762))+E(f18(f5(x4761,x4762),x4762),f5(f18(x4761,x4762),a20))
% 1.09/1.35 [483]~P43(x4832)+E(x4831,f10(x4832))+E(f14(f5(x4831,x4832),x4832),f5(f14(x4831,x4832),x4832))
% 1.09/1.35 [484]~P20(x4842)+~P34(x4842)+E(f18(f5(x4841,x4842),x4842),f5(f18(x4841,x4842),a20))
% 1.09/1.35 [488]~P20(x4882)+~P43(x4882)+E(f14(f5(x4881,x4882),x4882),f5(f14(x4881,x4882),x4882))
% 1.09/1.35 [489]~P21(x4892)+~P51(x4892)+E(f5(f15(x4891,x4892),x4892),f15(f14(x4891,x4892),x4892))
% 1.09/1.35 [492]~P43(x4922)+E(x4921,f10(x4922))+E(f13(x4921,f5(x4921,x4922),x4922),f4(x4922))
% 1.09/1.35 [493]~P19(x4932)+E(x4931,f10(x4932))+E(f13(f5(x4931,x4932),x4931,x4932),f4(x4932))
% 1.09/1.35 [494]~P43(x4942)+E(x4941,f10(x4942))+E(f13(f5(x4941,x4942),x4941,x4942),f4(x4942))
% 1.09/1.35 [539]~P44(x5392)+P3(x5391,f10(x5392),x5392)+~E(f11(x5391,x5392),f14(f4(x5392),x5392))
% 1.09/1.35 [554]~P44(x5542)+~P3(x5541,f10(x5542),x5542)+E(f11(x5541,x5542),f14(f4(x5542),x5542))
% 1.09/1.35 [645]E(x6451,f10(a1))+E(x6452,f10(a1))+~E(f12(x6452,x6451,a1),f12(f10(a1),f4(a1),a1))
% 1.09/1.35 [646]E(x6461,f10(a1))+E(x6462,f10(a1))+~E(f12(f10(a1),f4(a1),a1),f12(x6462,x6461,a1))
% 1.09/1.35 [765]E(x7651,f10(a1))+E(x7651,f12(f10(a1),f4(a1),a1))+~E(f12(x7652,x7651,a1),f12(f10(a1),f4(a1),a1))
% 1.09/1.35 [766]E(x7661,f10(a1))+E(x7661,f12(f10(a1),f4(a1),a1))+~E(f12(x7661,x7662,a1),f12(f10(a1),f4(a1),a1))
% 1.09/1.35 [767]E(x7671,f10(a1))+E(x7671,f12(f10(a1),f4(a1),a1))+~E(f12(f10(a1),f4(a1),a1),f12(x7672,x7671,a1))
% 1.09/1.35 [768]E(x7681,f10(a1))+E(x7681,f12(f10(a1),f4(a1),a1))+~E(f12(f10(a1),f4(a1),a1),f12(x7681,x7682,a1))
% 1.09/1.35 [840]E(x8401,f12(f10(a1),f4(a1),a1))+E(x8402,f12(f10(a1),f4(a1),a1))+~E(f12(x8402,x8401,a1),f12(f10(a1),f4(a1),a1))
% 1.09/1.35 [841]E(x8411,f12(f10(a1),f4(a1),a1))+E(x8412,f12(f10(a1),f4(a1),a1))+~E(f12(f10(a1),f4(a1),a1),f12(x8412,x8411,a1))
% 1.09/1.35 [848]~P3(x8481,x8482,a1)+P3(f12(x8481,f4(a1),a1),x8482,a1)+E(f12(x8481,f4(a1),a1),x8482)
% 1.09/1.35 [851]E(x8511,x8512)+P3(x8512,x8511,a1)+~P3(x8512,f12(x8511,f4(a1),a1),a1)
% 1.09/1.35 [853]E(x8531,x8532)+P3(x8531,x8532,a1)+~P3(x8531,f12(x8532,f4(a1),a1),a1)
% 1.09/1.35 [920]~P3(f10(a20),x9202,a20)+~P3(f10(a20),x9201,a20)+E(f12(f9(x9201),f9(x9202),a20),f9(f13(x9201,x9202,a20)))
% 1.09/1.35 [540]~P40(x5401)+~P2(x5402,a1)+E(f16(f14(f4(x5401),x5401),x5402,x5401),f4(x5401))
% 1.09/1.35 [548]~P40(x5481)+P2(x5482,a1)+E(f16(f14(f4(x5481),x5481),x5482,x5481),f14(f4(x5481),x5481))
% 1.09/1.35 [653]~P37(x6531)+~P61(x6531)+E(f16(f10(x6531),f12(x6532,f4(a1),a1),x6531),f10(x6531))
% 1.09/1.35 [664]~P19(x6641)+~P20(x6641)+E(f7(f13(f10(x6641),x6642,x6641),x6642,x6641),f10(x6641))
% 1.09/1.35 [1164]~P4(x11641,f4(a20),a20)+~P4(f10(a20),x11641,a20)+P4(f16(x11641,f12(x11642,f4(a1),a1),a20),x11641,a20)
% 1.09/1.35 [527]P4(x5272,x5271,x5273)+~P28(x5273)+P4(x5271,x5272,x5273)
% 1.09/1.35 [530]P3(x5302,x5301,x5303)+~P28(x5303)+P4(x5301,x5302,x5303)
% 1.09/1.35 [568]~P22(x5683)+~P3(x5681,x5682,x5683)+P4(x5681,x5682,x5683)
% 1.09/1.35 [569]~P33(x5693)+~P3(x5691,x5692,x5693)+P4(x5691,x5692,x5693)
% 1.09/1.35 [614]~P3(x6143,x6142,x6141)+~P22(x6141)+~P3(x6142,x6143,x6141)
% 1.09/1.35 [615]~P3(x6153,x6152,x6151)+~P33(x6151)+~P4(x6152,x6153,x6151)
% 1.09/1.35 [617]~P3(x6173,x6172,x6171)+~P33(x6171)+~P3(x6172,x6173,x6171)
% 1.09/1.35 [619]~P3(x6193,x6192,x6191)+~P28(x6191)+~P4(x6192,x6193,x6191)
% 1.09/1.35 [621]~P3(x6213,x6212,x6211)+~P28(x6211)+~P3(x6212,x6213,x6211)
% 1.09/1.35 [741]~P4(x7411,x7413,a20)+P4(x7411,x7412,a20)+~P4(x7413,x7412,a20)
% 1.09/1.35 [396]~P10(x3963)+E(x3961,x3962)+~E(f14(x3961,x3963),f14(x3962,x3963))
% 1.09/1.35 [397]~P9(x3973)+E(x3971,x3972)+~E(f14(x3971,x3973),f14(x3972,x3973))
% 1.09/1.35 [497]~P5(x4973)+E(x4971,x4972)+~E(f8(x4971,x4972,x4973),f10(x4973))
% 1.09/1.35 [498]~P10(x4983)+E(x4981,x4982)+~E(f8(x4981,x4982,x4983),f10(x4983))
% 1.09/1.35 [502]~P65(x5022)+~E(f16(x5021,x5023,x5022),f10(x5022))+E(x5021,f10(x5022))
% 1.09/1.35 [519]~P10(x5193)+~E(f12(x5191,x5192,x5193),f10(x5193))+E(x5191,f14(x5192,x5193))
% 1.09/1.35 [520]~P10(x5202)+~E(f12(x5201,x5203,x5202),f10(x5202))+E(f14(x5201,x5202),x5203)
% 1.09/1.35 [521]~P43(x5212)+~E(f13(x5211,x5213,x5212),f4(x5212))+E(f5(x5211,x5212),x5213)
% 1.09/1.35 [603]E(x6031,x6032)+~E(f13(x6033,x6031,a20),f13(x6033,x6032,a20))+E(x6033,f10(a20))
% 1.09/1.35 [604]E(x6041,x6042)+~E(f13(x6041,x6043,a20),f13(x6042,x6043,a20))+E(x6043,f10(a20))
% 1.09/1.35 [672]~P44(x6721)+P4(f10(x6721),f16(x6722,x6723,x6721),x6721)+~P2(x6723,a1)
% 1.09/1.35 [685]~P27(x6852)+~P4(x6853,x6851,x6852)+P4(f14(x6851,x6852),f14(x6853,x6852),x6852)
% 1.09/1.35 [686]~P27(x6862)+~P3(x6863,x6861,x6862)+P3(f14(x6861,x6862),f14(x6863,x6862),x6862)
% 1.09/1.35 [722]~P27(x7223)+~P4(x7222,f14(x7221,x7223),x7223)+P4(x7221,f14(x7222,x7223),x7223)
% 1.09/1.35 [724]~P27(x7243)+~P3(x7242,f14(x7241,x7243),x7243)+P3(x7241,f14(x7242,x7243),x7243)
% 1.09/1.35 [726]~P27(x7262)+~P4(f14(x7263,x7262),x7261,x7262)+P4(f14(x7261,x7262),x7263,x7262)
% 1.09/1.35 [728]~P27(x7282)+~P3(f14(x7283,x7282),x7281,x7282)+P3(f14(x7281,x7282),x7283,x7282)
% 1.09/1.35 [746]~P27(x7463)+P4(x7461,x7462,x7463)+~P4(f14(x7462,x7463),f14(x7461,x7463),x7463)
% 1.09/1.35 [747]~P27(x7473)+P3(x7471,x7472,x7473)+~P3(f14(x7472,x7473),f14(x7471,x7473),x7473)
% 1.09/1.35 [792]~P27(x7923)+~P4(x7921,x7922,x7923)+P4(f8(x7921,x7922,x7923),f10(x7923),x7923)
% 1.09/1.35 [793]~P27(x7933)+~P3(x7931,x7932,x7933)+P3(f8(x7931,x7932,x7933),f10(x7933),x7933)
% 1.09/1.35 [795]~P44(x7951)+~P4(f10(x7951),x7952,x7951)+P4(f10(x7951),f16(x7952,x7953,x7951),x7951)
% 1.09/1.35 [796]~P53(x7961)+~P4(f10(x7961),x7962,x7961)+P4(f10(x7961),f16(x7962,x7963,x7961),x7961)
% 1.09/1.35 [798]~P53(x7981)+~P4(f4(x7981),x7982,x7981)+P4(f4(x7981),f16(x7982,x7983,x7981),x7981)
% 1.09/1.35 [799]~P53(x7991)+~P3(f10(x7991),x7992,x7991)+P3(f10(x7991),f16(x7992,x7993,x7991),x7991)
% 1.09/1.35 [830]~P44(x8301)+~P3(f16(x8303,x8302,x8301),f10(x8301),x8301)+~P2(x8302,a1)
% 1.09/1.35 [845]~P24(x8453)+~P4(x8451,f14(x8452,x8453),x8453)+P4(f12(x8451,x8452,x8453),f10(x8453),x8453)
% 1.09/1.35 [859]~P27(x8593)+P4(x8591,x8592,x8593)+~P4(f8(x8591,x8592,x8593),f10(x8593),x8593)
% 1.09/1.35 [860]~P27(x8603)+P3(x8601,x8602,x8603)+~P3(f8(x8601,x8602,x8603),f10(x8603),x8603)
% 1.09/1.35 [886]~P44(x8862)+~P3(f16(x8861,x8863,x8862),f10(x8862),x8862)+P3(x8861,f10(x8862),x8862)
% 1.09/1.35 [922]~P24(x9223)+~P4(f12(x9221,x9222,x9223),f10(x9223),x9223)+P4(x9221,f14(x9222,x9223),x9223)
% 1.09/1.35 [1035]~P4(x10351,x10353,a20)+P4(f13(x10351,x10352,a20),f13(x10353,x10352,a20),a20)+~P3(f10(a20),x10352,a20)
% 1.09/1.35 [1036]~P4(x10362,x10363,a20)+P4(f13(x10361,x10362,a20),f13(x10361,x10363,a20),a20)+~P3(f10(a20),x10361,a20)
% 1.09/1.35 [1037]~P3(x10371,x10373,a20)+P3(f13(x10371,x10372,a20),f13(x10373,x10372,a20),a20)+~P3(f10(a20),x10372,a20)
% 1.09/1.35 [1038]~P3(x10382,x10383,a20)+P3(f13(x10381,x10382,a20),f13(x10381,x10383,a20),a20)+~P3(f10(a20),x10381,a20)
% 1.09/1.35 [1161]P4(x11611,x11612,a20)+~P4(f13(x11613,x11611,a20),f13(x11613,x11612,a20),a20)+~P3(f10(a20),x11613,a20)
% 1.09/1.35 [1162]P4(x11621,x11622,a20)+~P4(f13(x11621,x11623,a20),f13(x11622,x11623,a20),a20)+~P3(f10(a20),x11623,a20)
% 1.09/1.35 [1163]P3(x11631,x11632,a20)+~P3(f13(x11631,x11633,a20),f13(x11632,x11633,a20),a20)+~P3(f10(a20),x11633,a20)
% 1.09/1.35 [588]~P40(x5882)+~P2(x5883,a1)+E(f16(f14(x5881,x5882),x5883,x5882),f16(x5881,x5883,x5882))
% 1.09/1.35 [605]~P19(x6052)+E(x6051,f10(x6052))+E(f7(f14(x6053,x6052),f14(x6051,x6052),x6052),f7(x6053,x6051,x6052))
% 1.09/1.35 [608]~P1(x6082)+E(x6081,f10(x6082))+E(f6(f13(x6083,x6081,x6082),x6081,x6082),x6083)
% 1.09/1.35 [609]~P1(x6092)+E(x6091,f10(x6092))+E(f6(f13(x6091,x6093,x6092),x6091,x6092),x6093)
% 1.09/1.35 [610]~P19(x6102)+E(x6101,f10(x6102))+E(f7(f13(x6103,x6101,x6102),x6101,x6102),x6103)
% 1.09/1.35 [611]~P19(x6112)+~P20(x6112)+E(f7(f14(x6111,x6112),f14(x6113,x6112),x6112),f7(x6111,x6113,x6112))
% 1.09/1.35 [654]~P19(x6543)+~P20(x6543)+E(f5(f7(x6541,x6542,x6543),x6543),f7(x6542,x6541,x6543))
% 1.09/1.35 [719]~P19(x7192)+E(x7191,f10(x7192))+E(f7(x7193,f14(x7191,x7192),x7192),f14(f7(x7193,x7191,x7192),x7192))
% 1.09/1.35 [720]~P43(x7202)+E(x7201,f10(x7202))+E(f16(f5(x7201,x7202),x7203,x7202),f5(f16(x7201,x7203,x7202),x7202))
% 1.09/1.35 [729]~P19(x7293)+~P20(x7293)+E(f7(x7291,f14(x7292,x7293),x7293),f14(f7(x7291,x7292,x7293),x7293))
% 1.09/1.35 [730]~P20(x7302)+~P43(x7302)+E(f16(f5(x7301,x7302),x7303,x7302),f5(f16(x7301,x7303,x7302),x7302))
% 1.09/1.35 [743]~P40(x7432)+P2(x7433,a1)+E(f16(f14(x7431,x7432),x7433,x7432),f14(f16(x7431,x7433,x7432),x7432))
% 1.09/1.35 [773]~P21(x7732)+~P51(x7732)+E(f7(f15(x7731,x7732),f15(x7733,x7732),x7732),f15(f8(x7731,x7733,x7732),x7732))
% 1.09/1.35 [775]~P19(x7752)+~P20(x7752)+E(f13(f5(x7751,x7752),f5(x7753,x7752),x7752),f5(f13(x7751,x7753,x7752),x7752))
% 1.09/1.35 [776]~P21(x7762)+~P51(x7762)+E(f13(f15(x7761,x7762),f15(x7763,x7762),x7762),f15(f12(x7761,x7763,x7762),x7762))
% 1.09/1.35 [782]~P44(x7821)+P3(f10(x7821),f16(x7822,f17(x7823,a1),x7821),x7821)+~E(f17(x7823,a1),f10(a1))
% 1.09/1.35 [884]~P3(x8841,x8843,a1)+~P3(x8843,x8842,a1)+P3(f12(x8841,f4(a1),a1),x8842,a1)
% 1.09/1.35 [905]~P1(x9052)+E(x9051,f10(x9052))+E(f6(f12(x9053,x9051,x9052),x9051,x9052),f12(f6(x9053,x9051,x9052),f4(x9052),x9052))
% 1.09/1.35 [906]~P1(x9062)+E(x9061,f10(x9062))+E(f6(f12(x9061,x9063,x9062),x9061,x9062),f12(f6(x9063,x9061,x9062),f4(x9062),x9062))
% 1.09/1.35 [983]~P44(x9832)+~P4(f16(x9833,f17(x9831,a1),x9832),f10(x9832),x9832)+~E(f17(x9831,a1),f10(a1))
% 1.09/1.35 [1062]~P54(x10622)+E(x10621,f10(x10622))+~E(f12(f13(x10623,x10623,x10622),f13(x10621,x10621,x10622),x10622),f10(x10622))
% 1.09/1.35 [1063]~P54(x10632)+E(x10631,f10(x10632))+~E(f12(f13(x10631,x10631,x10632),f13(x10633,x10633,x10632),x10632),f10(x10632))
% 1.09/1.35 [1116]~P53(x11161)+~P3(f4(x11161),x11162,x11161)+P3(f4(x11161),f13(x11162,f16(x11162,x11163,x11161),x11161),x11161)
% 1.09/1.35 [1189]~P53(x11893)+~P3(f4(x11893),x11891,x11893)+P3(f16(x11891,x11892,x11893),f13(x11891,f16(x11891,x11892,x11893),x11893),x11893)
% 1.09/1.35 [1212]~P54(x12122)+E(x12121,f10(x12122))+P3(f10(x12122),f12(f13(x12123,x12123,x12122),f13(x12121,x12121,x12122),x12122),x12122)
% 1.09/1.35 [1213]~P54(x12132)+E(x12131,f10(x12132))+P3(f10(x12132),f12(f13(x12131,x12131,x12132),f13(x12133,x12133,x12132),x12132),x12132)
% 1.09/1.35 [1302]~P54(x13022)+E(x13021,f10(x13022))+~P4(f12(f13(x13023,x13023,x13022),f13(x13021,x13021,x13022),x13022),f10(x13022),x13022)
% 1.09/1.35 [1303]~P54(x13032)+E(x13031,f10(x13032))+~P4(f12(f13(x13031,x13031,x13032),f13(x13033,x13033,x13032),x13032),f10(x13032),x13032)
% 1.09/1.35 [926]~P19(x9261)+~P20(x9261)+E(f7(f4(x9261),f16(x9262,x9263,x9261),x9261),f16(f7(f4(x9261),x9262,x9261),x9263,x9261))
% 1.09/1.35 [1117]~P53(x11171)+~P3(f4(x11171),x11172,x11171)+P3(f4(x11171),f16(x11172,f12(x11173,f4(a1),a1),x11171),x11171)
% 1.09/1.35 [1259]~P45(x12593)+~P3(x12591,x12592,x12593)+P3(x12591,f7(f12(x12591,x12592,x12593),f12(f4(x12593),f4(x12593),x12593),x12593),x12593)
% 1.09/1.35 [1260]~P45(x12603)+~P3(x12601,x12602,x12603)+P3(f7(f12(x12601,x12602,x12603),f12(f4(x12603),f4(x12603),x12603),x12603),x12602,x12603)
% 1.09/1.35 [622]~P5(x6224)+E(x6221,x6222)+~E(f8(x6223,x6223,x6224),f8(x6221,x6222,x6224))
% 1.09/1.35 [623]~P15(x6234)+E(x6231,x6232)+~E(f12(x6233,x6231,x6234),f12(x6233,x6232,x6234))
% 1.09/1.35 [624]~P16(x6244)+E(x6241,x6242)+~E(f12(x6243,x6241,x6244),f12(x6243,x6242,x6244))
% 1.09/1.35 [625]~P16(x6254)+E(x6251,x6252)+~E(f12(x6251,x6253,x6254),f12(x6252,x6253,x6254))
% 1.09/1.35 [626]~P5(x6263)+E(x6261,x6262)+~E(f8(x6261,x6262,x6263),f8(x6264,x6264,x6263))
% 1.09/1.35 [847]~P3(x8474,x8473,a1)+P3(x8471,x8472,a1)+~E(f12(x8471,x8473,a1),f12(x8474,x8472,a1))
% 1.09/1.35 [939]~P29(x9393)+~P4(x9391,x9394,x9393)+P4(f12(x9391,x9392,x9393),f12(x9394,x9392,x9393),x9393)
% 1.09/1.35 [940]~P30(x9403)+~P4(x9401,x9404,x9403)+P4(f12(x9401,x9402,x9403),f12(x9404,x9402,x9403),x9403)
% 1.09/1.35 [941]~P29(x9413)+~P4(x9412,x9414,x9413)+P4(f12(x9411,x9412,x9413),f12(x9411,x9414,x9413),x9413)
% 1.09/1.35 [942]~P30(x9423)+~P4(x9422,x9424,x9423)+P4(f12(x9421,x9422,x9423),f12(x9421,x9424,x9423),x9423)
% 1.09/1.35 [943]~P30(x9433)+~P3(x9431,x9434,x9433)+P3(f12(x9431,x9432,x9433),f12(x9434,x9432,x9433),x9433)
% 1.09/1.35 [944]~P32(x9443)+~P3(x9441,x9444,x9443)+P3(f12(x9441,x9442,x9443),f12(x9444,x9442,x9443),x9443)
% 1.09/1.35 [945]~P30(x9453)+~P3(x9452,x9454,x9453)+P3(f12(x9451,x9452,x9453),f12(x9451,x9454,x9453),x9453)
% 1.09/1.35 [946]~P32(x9463)+~P3(x9462,x9464,x9463)+P3(f12(x9461,x9462,x9463),f12(x9461,x9464,x9463),x9463)
% 1.09/1.35 [1033]~P3(x10332,x10334,a1)+~P3(x10331,x10333,a1)+P3(f12(x10331,x10332,a1),f12(x10333,x10334,a1),a1)
% 1.09/1.35 [1112]~P30(x11123)+P4(x11121,x11122,x11123)+~P4(f12(x11124,x11121,x11123),f12(x11124,x11122,x11123),x11123)
% 1.09/1.35 [1113]~P30(x11133)+P4(x11131,x11132,x11133)+~P4(f12(x11131,x11134,x11133),f12(x11132,x11134,x11133),x11133)
% 1.09/1.35 [1114]~P30(x11143)+P3(x11141,x11142,x11143)+~P3(f12(x11144,x11141,x11143),f12(x11144,x11142,x11143),x11143)
% 1.09/1.35 [1115]~P30(x11153)+P3(x11151,x11152,x11153)+~P3(f12(x11151,x11154,x11153),f12(x11152,x11154,x11153),x11153)
% 1.09/1.35 [814]~P5(x8143)+E(x8141,f14(x8142,x8143))+~E(f12(x8141,f12(x8144,x8142,x8143),x8143),x8144)
% 1.09/1.35 [899]~P1(x8992)+E(x8991,f10(x8992))+E(f6(f13(x8993,x8991,x8992),f13(x8994,x8991,x8992),x8992),f6(x8993,x8994,x8992))
% 1.09/1.35 [900]~P1(x9002)+E(x9001,f10(x9002))+E(f6(f13(x9001,x9003,x9002),f13(x9001,x9004,x9002),x9002),f6(x9003,x9004,x9002))
% 1.09/1.35 [901]~P19(x9013)+~P20(x9013)+E(f7(f13(x9011,x9012,x9013),x9014,x9013),f13(f7(x9011,x9014,x9013),x9012,x9013))
% 1.09/1.35 [1064]~P19(x10642)+E(x10641,f10(x10642))+E(f7(f16(x10643,x10644,x10642),f16(x10641,x10644,x10642),x10642),f16(f7(x10643,x10641,x10642),x10644,x10642))
% 1.09/1.35 [1065]~P19(x10653)+~P20(x10653)+E(f7(f16(x10651,x10652,x10653),f16(x10654,x10652,x10653),x10653),f16(f7(x10651,x10654,x10653),x10652,x10653))
% 1.09/1.35 [1156]~P18(x11563)+~P6(x11563)+E(f12(f13(x11561,x11562,x11563),f13(x11561,x11564,x11563),x11563),f12(f13(x11561,x11564,x11563),f13(x11561,x11562,x11563),x11563))
% 1.09/1.35 [1153]~P1(x11532)+E(x11531,f10(x11532))+E(f6(f12(x11533,f13(x11534,x11531,x11532),x11532),x11531,x11532),f12(x11534,f6(x11533,x11531,x11532),x11532))
% 1.09/1.35 [1154]~P1(x11542)+E(x11541,f10(x11542))+E(f6(f12(x11543,f13(x11541,x11544,x11542),x11542),x11541,x11542),f12(x11544,f6(x11543,x11541,x11542),x11542))
% 1.09/1.35 [1167]~P7(x11672)+~P55(x11672)+E(f8(f13(f17(x11671,x11672),x11673,x11672),f13(f17(x11671,x11672),x11674,x11672),x11672),f13(f17(x11671,x11672),f8(x11673,x11674,x11672),x11672))
% 1.09/1.35 [1168]~P7(x11682)+~P62(x11682)+E(f12(f13(f17(x11681,x11682),x11683,x11682),f13(f17(x11681,x11682),x11684,x11682),x11682),f13(f17(x11681,x11682),f12(x11683,x11684,x11682),x11682))
% 1.09/1.35 [1169]~P7(x11693)+~P55(x11693)+E(f8(f13(x11691,f17(x11692,x11693),x11693),f13(x11694,f17(x11692,x11693),x11693),x11693),f13(f8(x11691,x11694,x11693),f17(x11692,x11693),x11693))
% 1.09/1.35 [1170]~P7(x11703)+~P62(x11703)+E(f12(f13(x11701,f17(x11702,x11703),x11703),f13(x11704,f17(x11702,x11703),x11703),x11703),f13(f12(x11701,x11704,x11703),f17(x11702,x11703),x11703))
% 1.09/1.35 [1025]~P5(x10253)+E(f12(x10251,x10252,x10253),x10254)+~E(f12(x10251,f12(x10255,x10252,x10253),x10253),f12(x10255,x10254,x10253))
% 1.09/1.35 [1157]~P19(x11573)+~P20(x11573)+E(f7(f13(x11571,x11572,x11573),f13(x11574,x11575,x11573),x11573),f13(f7(x11571,x11574,x11573),f7(x11572,x11575,x11573),x11573))
% 1.09/1.35 [1296]~P55(x12964)+~E(f12(f13(x12963,x12965,x12964),x12961,x12964),f12(f13(x12962,x12965,x12964),x12966,x12964))+E(x12961,f12(f13(f8(x12962,x12963,x12964),x12965,x12964),x12966,x12964))
% 1.09/1.35 [1297]~P55(x12973)+~E(f12(f13(x12971,x12974,x12973),x12975,x12973),f12(f13(x12972,x12974,x12973),x12976,x12973))+E(f12(f13(f8(x12971,x12972,x12973),x12974,x12973),x12975,x12973),x12976)
% 1.09/1.35 [1328]~P56(x13284)+~P4(f12(f13(x13283,x13285,x13284),x13281,x13284),f12(f13(x13282,x13285,x13284),x13286,x13284),x13284)+P4(x13281,f12(f13(f8(x13282,x13283,x13284),x13285,x13284),x13286,x13284),x13284)
% 1.09/1.35 [1329]~P56(x13294)+~P3(f12(f13(x13293,x13295,x13294),x13291,x13294),f12(f13(x13292,x13295,x13294),x13296,x13294),x13294)+P3(x13291,f12(f13(f8(x13292,x13293,x13294),x13295,x13294),x13296,x13294),x13294)
% 1.09/1.35 [1330]~P56(x13303)+~P4(f12(f13(x13301,x13304,x13303),x13305,x13303),f12(f13(x13302,x13304,x13303),x13306,x13303),x13303)+P4(f12(f13(f8(x13301,x13302,x13303),x13304,x13303),x13305,x13303),x13306,x13303)
% 1.09/1.35 [1331]~P56(x13313)+~P3(f12(f13(x13311,x13314,x13313),x13315,x13313),f12(f13(x13312,x13314,x13313),x13316,x13313),x13313)+P3(f12(f13(f8(x13311,x13312,x13313),x13314,x13313),x13315,x13313),x13316,x13313)
% 1.09/1.35 [1332]~P56(x13323)+P4(f12(f13(x13321,x13322,x13323),x13324,x13323),f12(f13(x13325,x13322,x13323),x13326,x13323),x13323)+~P4(x13324,f12(f13(f8(x13325,x13321,x13323),x13322,x13323),x13326,x13323),x13323)
% 1.09/1.35 [1333]~P56(x13333)+P3(f12(f13(x13331,x13332,x13333),x13334,x13333),f12(f13(x13335,x13332,x13333),x13336,x13333),x13333)+~P3(x13334,f12(f13(f8(x13335,x13331,x13333),x13332,x13333),x13336,x13333),x13333)
% 1.09/1.35 [1334]~P56(x13343)+P4(f12(f13(x13341,x13342,x13343),x13344,x13343),f12(f13(x13345,x13342,x13343),x13346,x13343),x13343)+~P4(f12(f13(f8(x13341,x13345,x13343),x13342,x13343),x13344,x13343),x13346,x13343)
% 1.09/1.35 [1335]~P56(x13353)+P3(f12(f13(x13351,x13352,x13353),x13354,x13353),f12(f13(x13355,x13352,x13353),x13356,x13353),x13353)+~P3(f12(f13(f8(x13351,x13355,x13353),x13352,x13353),x13354,x13353),x13356,x13353)
% 1.09/1.35 [394]~P19(x3942)+~P20(x3942)+~E(f5(x3941,x3942),f4(x3942))+E(x3941,f4(x3942))
% 1.09/1.35 [546]~P52(x5462)+~P3(f10(x5462),x5461,x5462)+E(f11(x5461,x5462),f4(x5462))+E(x5461,f10(x5462))
% 1.09/1.35 [665]E(x6651,x6652)+~E(f9(x6651),f9(x6652))+~P3(f10(a20),x6652,a20)+~P3(f10(a20),x6651,a20)
% 1.09/1.35 [676]~P20(x6761)+~P45(x6761)+~P4(f10(x6761),x6762,x6761)+P4(f10(x6761),f5(x6762,x6761),x6761)
% 1.09/1.35 [678]~P20(x6782)+~P45(x6782)+~P4(x6781,f10(x6782),x6782)+P4(f5(x6781,x6782),f10(x6782),x6782)
% 1.09/1.35 [679]~P20(x6792)+~P45(x6792)+~P4(x6791,f10(x6792),x6792)+P4(f5(x6791,x6792),f4(x6792),x6792)
% 1.09/1.35 [681]~P20(x6812)+~P45(x6812)+~P4(x6811,f10(x6812),x6812)+P3(f5(x6811,x6812),f4(x6812),x6812)
% 1.09/1.35 [682]~P20(x6822)+~P45(x6822)+~P4(f4(x6822),x6821,x6822)+P4(f5(x6821,x6822),f4(x6822),x6822)
% 1.09/1.35 [683]~P20(x6832)+~P45(x6832)+~P3(f4(x6832),x6831,x6832)+P3(f5(x6831,x6832),f4(x6832),x6832)
% 1.09/1.35 [707]~P45(x7072)+~P3(f5(x7071,x7072),f10(x7072),x7072)+P3(x7071,f10(x7072),x7072)+E(x7071,f10(x7072))
% 1.09/1.35 [708]~P45(x7082)+~P3(f10(x7082),f5(x7081,x7082),x7082)+P3(f10(x7082),x7081,x7082)+E(x7081,f10(x7082))
% 1.09/1.35 [710]~P20(x7102)+~P45(x7102)+~P4(f4(x7102),f5(x7101,x7102),x7102)+P4(x7101,f4(x7102),x7102)
% 1.09/1.35 [711]~P20(x7112)+~P45(x7112)+~P3(f4(x7112),f5(x7111,x7112),x7112)+P3(x7111,f4(x7112),x7112)
% 1.09/1.35 [712]~P20(x7122)+~P45(x7122)+~P4(f5(x7121,x7122),f10(x7122),x7122)+P4(x7121,f10(x7122),x7122)
% 1.09/1.35 [713]~P20(x7132)+~P45(x7132)+~P3(f5(x7131,x7132),f10(x7132),x7132)+P3(x7131,f10(x7132),x7132)
% 1.09/1.35 [714]~P20(x7141)+~P45(x7141)+~P4(f10(x7141),f5(x7142,x7141),x7141)+P4(f10(x7141),x7142,x7141)
% 1.09/1.35 [715]~P20(x7151)+~P45(x7151)+~P4(f4(x7151),f5(x7152,x7151),x7151)+P3(f10(x7151),x7152,x7151)
% 1.09/1.35 [716]~P20(x7161)+~P45(x7161)+~P3(f10(x7161),f5(x7162,x7161),x7161)+P3(f10(x7161),x7162,x7161)
% 1.09/1.35 [717]~P20(x7171)+~P45(x7171)+~P3(f4(x7171),f5(x7172,x7171),x7171)+P3(f10(x7171),x7172,x7171)
% 1.09/1.35 [865]~P4(x8651,x8652,a20)+P4(f9(x8651),f9(x8652),a20)+~P3(f10(a20),x8652,a20)+~P3(f10(a20),x8651,a20)
% 1.09/1.35 [866]~P3(x8661,x8662,a20)+P3(f9(x8661),f9(x8662),a20)+~P3(f10(a20),x8662,a20)+~P3(f10(a20),x8661,a20)
% 1.09/1.35 [897]P4(x8971,x8972,a20)+~P4(f9(x8971),f9(x8972),a20)+~P3(f10(a20),x8972,a20)+~P3(f10(a20),x8971,a20)
% 1.09/1.35 [898]P3(x8981,x8982,a20)+~P3(f9(x8981),f9(x8982),a20)+~P3(f10(a20),x8982,a20)+~P3(f10(a20),x8981,a20)
% 1.09/1.35 [467]~P37(x4672)+~P61(x4672)+E(x4671,f10(a1))+E(f16(f10(x4672),x4671,x4672),f10(x4672))
% 1.09/1.35 [508]~P52(x5082)+P3(f10(x5082),x5081,x5082)+E(x5081,f10(x5082))+E(f11(x5081,x5082),f14(f4(x5082),x5082))
% 1.09/1.35 [544]~P37(x5441)+~P61(x5441)+~E(f17(x5442,a1),f10(a1))+E(f16(f10(x5441),f17(x5442,a1),x5441),f4(x5441))
% 1.09/1.35 [709]~P44(x7092)+~P2(x7091,a1)+P4(f16(f10(x7092),x7091,x7092),f10(x7092),x7092)+E(x7091,f10(a1))
% 1.09/1.35 [826]~P20(x8261)+~P45(x8261)+~P4(f10(x8261),x8262,x8261)+P4(f10(x8261),f7(f4(x8261),x8262,x8261),x8261)
% 1.09/1.35 [827]~P20(x8271)+~P45(x8271)+~P3(f10(x8271),x8272,x8271)+P3(f10(x8271),f7(f4(x8271),x8272,x8271),x8271)
% 1.09/1.35 [828]~P20(x8281)+~P45(x8281)+~P4(x8282,f10(x8281),x8281)+P4(f7(f4(x8281),x8282,x8281),f10(x8281),x8281)
% 1.09/1.35 [829]~P20(x8291)+~P45(x8291)+~P3(x8292,f10(x8291),x8291)+P3(f7(f4(x8291),x8292,x8291),f10(x8291),x8291)
% 1.09/1.35 [854]~P44(x8542)+~P2(x8541,a1)+~P3(f10(x8542),f16(f10(x8542),x8541,x8542),x8542)+E(x8541,f10(a1))
% 1.09/1.35 [929]~P20(x9292)+~P45(x9292)+P4(x9291,f10(x9292),x9292)+~P4(f7(f4(x9292),x9291,x9292),f10(x9292),x9292)
% 1.09/1.35 [930]~P20(x9302)+~P45(x9302)+P3(x9301,f10(x9302),x9302)+~P3(f7(f4(x9302),x9301,x9302),f10(x9302),x9302)
% 1.09/1.35 [931]~P20(x9311)+~P45(x9311)+P4(f10(x9311),x9312,x9311)+~P4(f10(x9311),f7(f4(x9311),x9312,x9311),x9311)
% 1.09/1.35 [932]~P20(x9321)+~P45(x9321)+P3(f10(x9321),x9322,x9321)+~P3(f10(x9321),f7(f4(x9321),x9322,x9321),x9321)
% 1.09/1.35 [938]~P44(x9382)+P3(f10(x9382),f10(x9382),x9382)+~P3(f10(x9382),f16(f10(x9382),x9381,x9382),x9382)+E(x9381,f10(a1))
% 1.09/1.35 [533]P3(x5331,x5332,x5333)+~P44(x5333)+E(x5331,x5332)+P3(x5332,x5331,x5333)
% 1.09/1.35 [537]P3(x5371,x5372,x5373)+~P28(x5373)+E(x5371,x5372)+P3(x5372,x5371,x5373)
% 1.09/1.35 [576]~P22(x5763)+~P4(x5761,x5762,x5763)+E(x5761,x5762)+P3(x5761,x5762,x5763)
% 1.09/1.35 [578]~P28(x5783)+~P4(x5781,x5782,x5783)+E(x5781,x5782)+P3(x5781,x5782,x5783)
% 1.09/1.35 [636]~P4(x6362,x6361,x6363)+~P4(x6361,x6362,x6363)+E(x6361,x6362)+~P22(x6363)
% 1.09/1.35 [689]P3(x6892,x6891,x6893)+~P33(x6893)+~P4(x6892,x6891,x6893)+P4(x6891,x6892,x6893)
% 1.09/1.35 [401]~P6(x4013)+~P8(x4013)+E(x4011,x4012)+~E(f17(x4011,x4013),f17(x4012,x4013))
% 1.09/1.35 [402]~P20(x4023)+~P43(x4023)+E(x4021,x4022)+~E(f5(x4021,x4023),f5(x4022,x4023))
% 1.09/1.35 [505]~P19(x5053)+E(x5051,x5052)+~E(f7(x5051,x5052,x5053),f4(x5053))+E(x5052,f10(x5053))
% 1.09/1.35 [506]~P18(x5062)+~P6(x5062)+~E(f12(x5063,x5061,x5062),x5063)+E(x5061,f10(x5062))
% 1.09/1.35 [510]~P18(x5103)+~P6(x5103)+E(x5101,x5102)+~E(f8(x5101,x5102,x5103),f10(x5103))
% 1.09/1.35 [514]~P46(x5142)+~E(f13(x5143,x5141,x5142),f10(x5142))+E(x5141,f10(x5142))+E(x5143,f10(x5142))
% 1.09/1.35 [515]~P64(x5152)+~E(f13(x5153,x5151,x5152),f10(x5152))+E(x5151,f10(x5152))+E(x5153,f10(x5152))
% 1.09/1.35 [675]~P18(x6753)+E(x6751,x6752)+~E(f13(x6751,x6751,x6753),f13(x6752,x6752,x6753))+E(x6751,f14(x6752,x6753))
% 1.09/1.35 [687]~P44(x6872)+P3(f10(x6872),f16(x6871,x6873,x6872),x6872)+~P2(x6873,a1)+E(x6871,f10(x6872))
% 1.09/1.35 [688]~P54(x6881)+~P25(x6881)+P4(f10(x6881),f16(x6882,x6883,x6881),x6881)+~P2(x6883,a1)
% 1.09/1.35 [823]~P44(x8232)+P3(f10(x8232),f16(x8233,x8231,x8232),x8232)+~P3(f10(x8232),x8233,x8232)+P2(x8231,a1)
% 1.09/1.35 [824]~P44(x8243)+~P3(x8242,f10(x8243),x8243)+P3(f16(x8242,x8241,x8243),f10(x8243),x8243)+P2(x8241,a1)
% 1.09/1.35 [833]~P45(x8332)+~P4(x8333,x8331,x8332)+~P3(x8331,f10(x8332),x8332)+P4(f5(x8331,x8332),f5(x8333,x8332),x8332)
% 1.09/1.35 [834]~P45(x8342)+~P3(x8343,x8341,x8342)+~P3(x8341,f10(x8342),x8342)+P3(f5(x8341,x8342),f5(x8343,x8342),x8342)
% 1.09/1.35 [835]~P45(x8352)+~P4(x8353,x8351,x8352)+~P3(f10(x8352),x8353,x8352)+P4(f5(x8351,x8352),f5(x8353,x8352),x8352)
% 1.09/1.35 [836]~P45(x8362)+~P3(x8363,x8361,x8362)+~P3(f10(x8362),x8363,x8362)+P3(f5(x8361,x8362),f5(x8363,x8362),x8362)
% 1.09/1.35 [837]~P44(x8372)+~P4(f16(x8371,x8373,x8372),f10(x8372),x8372)+E(x8371,f10(x8372))+~P2(x8373,a1)
% 1.09/1.35 [861]~P45(x8613)+P4(x8611,x8612,x8613)+~P3(x8611,f10(x8613),x8613)+~P4(f5(x8612,x8613),f5(x8611,x8613),x8613)
% 1.09/1.35 [862]~P45(x8623)+P3(x8621,x8622,x8623)+~P3(x8621,f10(x8623),x8623)+~P3(f5(x8622,x8623),f5(x8621,x8623),x8623)
% 1.09/1.35 [863]~P45(x8633)+P4(x8631,x8632,x8633)+~P3(f10(x8633),x8632,x8633)+~P4(f5(x8632,x8633),f5(x8631,x8633),x8633)
% 1.09/1.35 [864]~P45(x8643)+P3(x8641,x8642,x8643)+~P3(f10(x8643),x8642,x8643)+~P3(f5(x8642,x8643),f5(x8641,x8643),x8643)
% 1.09/1.35 [902]~P44(x9022)+~P4(f16(x9021,x9023,x9022),f10(x9022),x9022)+P4(x9021,f10(x9022),x9022)+E(x9021,f10(x9022))
% 1.09/1.35 [914]~P44(x9143)+~P4(f16(x9142,x9141,x9143),f10(x9143),x9143)+P4(x9142,f10(x9143),x9143)+P2(x9141,a1)
% 1.09/1.35 [917]~P44(x9172)+~P4(f10(x9172),f16(x9173,x9171,x9172),x9172)+P4(f10(x9172),x9173,x9172)+P2(x9171,a1)
% 1.09/1.35 [937]~P53(x9371)+~P3(f4(x9371),x9372,x9371)+P3(f4(x9371),f16(x9372,x9373,x9371),x9371)+~P3(f10(a1),x9373,a1)
% 1.09/1.35 [948]~P45(x9481)+~P4(x9482,f10(x9481),x9481)+~P3(x9483,f10(x9481),x9481)+P4(f10(x9481),f7(x9482,x9483,x9481),x9481)
% 1.09/1.35 [950]~P56(x9501)+~P4(x9503,f10(x9501),x9501)+~P4(x9502,f10(x9501),x9501)+P4(f10(x9501),f13(x9502,x9503,x9501),x9501)
% 1.09/1.35 [951]~P54(x9511)+~P4(x9513,f10(x9511),x9511)+~P4(x9512,f10(x9511),x9511)+P4(f10(x9511),f13(x9512,x9513,x9511),x9511)
% 1.09/1.35 [952]~P45(x9521)+~P3(x9523,f10(x9521),x9521)+~P3(x9522,f10(x9521),x9521)+P3(f10(x9521),f7(x9522,x9523,x9521),x9521)
% 1.09/1.35 [953]~P54(x9531)+~P3(x9533,f10(x9531),x9531)+~P3(x9532,f10(x9531),x9531)+P3(f10(x9531),f13(x9532,x9533,x9531),x9531)
% 1.09/1.35 [954]~P45(x9541)+~P4(f10(x9541),x9542,x9541)+~P3(f10(x9541),x9543,x9541)+P4(f10(x9541),f7(x9542,x9543,x9541),x9541)
% 1.09/1.35 [955]~P31(x9551)+~P4(f10(x9551),x9553,x9551)+~P4(f10(x9551),x9552,x9551)+P4(f10(x9551),f12(x9552,x9553,x9551),x9551)
% 1.09/1.35 [956]~P56(x9561)+~P4(f10(x9561),x9563,x9561)+~P4(f10(x9561),x9562,x9561)+P4(f10(x9561),f13(x9562,x9563,x9561),x9561)
% 1.09/1.35 [957]~P54(x9571)+~P4(f10(x9571),x9573,x9571)+~P4(f10(x9571),x9572,x9571)+P4(f10(x9571),f13(x9572,x9573,x9571),x9571)
% 1.09/1.35 [958]~P59(x9581)+~P4(f10(x9581),x9583,x9581)+~P4(f10(x9581),x9582,x9581)+P4(f10(x9581),f13(x9582,x9583,x9581),x9581)
% 1.09/1.35 [959]~P45(x9591)+~P3(f10(x9591),x9593,x9591)+~P3(f10(x9591),x9592,x9591)+P3(f10(x9591),f7(x9592,x9593,x9591),x9591)
% 1.09/1.35 [960]~P31(x9601)+~P4(f10(x9601),x9603,x9601)+~P3(f10(x9601),x9602,x9601)+P3(f10(x9601),f12(x9602,x9603,x9601),x9601)
% 1.09/1.35 [961]~P31(x9611)+~P4(f10(x9611),x9612,x9611)+~P3(f10(x9611),x9613,x9611)+P3(f10(x9611),f12(x9612,x9613,x9611),x9611)
% 1.09/1.35 [962]~P31(x9621)+~P3(f10(x9621),x9623,x9621)+~P3(f10(x9621),x9622,x9621)+P3(f10(x9621),f12(x9622,x9623,x9621),x9621)
% 1.09/1.35 [963]~P57(x9631)+~P3(f10(x9631),x9633,x9631)+~P3(f10(x9631),x9632,x9631)+P3(f10(x9631),f13(x9632,x9633,x9631),x9631)
% 1.09/1.35 [964]~P53(x9641)+~P3(f4(x9641),x9643,x9641)+~P3(f4(x9641),x9642,x9641)+P3(f4(x9641),f13(x9642,x9643,x9641),x9641)
% 1.09/1.35 [965]~P31(x9653)+~P4(x9652,f10(x9653),x9653)+~P4(x9651,f10(x9653),x9653)+P4(f12(x9651,x9652,x9653),f10(x9653),x9653)
% 1.09/1.35 [966]~P31(x9663)+~P4(x9662,f10(x9663),x9663)+~P3(x9661,f10(x9663),x9663)+P3(f12(x9661,x9662,x9663),f10(x9663),x9663)
% 1.09/1.35 [967]~P31(x9673)+~P4(x9671,f10(x9673),x9673)+~P3(x9672,f10(x9673),x9673)+P3(f12(x9671,x9672,x9673),f10(x9673),x9673)
% 1.09/1.35 [968]~P31(x9683)+~P3(x9682,f10(x9683),x9683)+~P3(x9681,f10(x9683),x9683)+P3(f12(x9681,x9682,x9683),f10(x9683),x9683)
% 1.09/1.35 [969]~P45(x9693)+~P4(x9691,f10(x9693),x9693)+~P3(f10(x9693),x9692,x9693)+P4(f7(x9691,x9692,x9693),f10(x9693),x9693)
% 1.09/1.35 [970]~P45(x9703)+~P3(x9702,f10(x9703),x9703)+~P4(f10(x9703),x9701,x9703)+P4(f7(x9701,x9702,x9703),f10(x9703),x9703)
% 1.09/1.35 [971]~P54(x9713)+~P4(x9712,f10(x9713),x9713)+~P4(f10(x9713),x9711,x9713)+P4(f13(x9711,x9712,x9713),f10(x9713),x9713)
% 1.09/1.35 [972]~P54(x9723)+~P4(x9721,f10(x9723),x9723)+~P4(f10(x9723),x9722,x9723)+P4(f13(x9721,x9722,x9723),f10(x9723),x9723)
% 1.09/1.35 [974]~P59(x9743)+~P4(x9742,f10(x9743),x9743)+~P4(f10(x9743),x9741,x9743)+P4(f13(x9741,x9742,x9743),f10(x9743),x9743)
% 1.09/1.35 [977]~P59(x9773)+~P4(x9771,f10(x9773),x9773)+~P4(f10(x9773),x9772,x9773)+P4(f13(x9771,x9772,x9773),f10(x9773),x9773)
% 1.09/1.35 [978]~P45(x9783)+~P3(x9782,f10(x9783),x9783)+~P3(f10(x9783),x9781,x9783)+P3(f7(x9781,x9782,x9783),f10(x9783),x9783)
% 1.09/1.35 [979]~P45(x9793)+~P3(x9791,f10(x9793),x9793)+~P3(f10(x9793),x9792,x9793)+P3(f7(x9791,x9792,x9793),f10(x9793),x9793)
% 1.09/1.35 [980]~P57(x9803)+~P3(x9802,f10(x9803),x9803)+~P3(f10(x9803),x9801,x9803)+P3(f13(x9801,x9802,x9803),f10(x9803),x9803)
% 1.09/1.35 [982]~P57(x9823)+~P3(x9821,f10(x9823),x9823)+~P3(f10(x9823),x9822,x9823)+P3(f13(x9821,x9822,x9823),f10(x9823),x9823)
% 1.09/1.35 [996]~P54(x9962)+~P4(f13(x9963,x9961,x9962),f10(x9962),x9962)+P4(x9961,f10(x9962),x9962)+P4(x9963,f10(x9962),x9962)
% 1.09/1.35 [997]~P54(x9972)+~P4(f10(x9972),f13(x9973,x9971,x9972),x9972)+P4(x9971,f10(x9972),x9972)+P4(f10(x9972),x9973,x9972)
% 1.09/1.35 [998]~P54(x9982)+~P4(f10(x9982),f13(x9981,x9983,x9982),x9982)+P4(x9981,f10(x9982),x9982)+P4(f10(x9982),x9983,x9982)
% 1.09/1.35 [999]~P54(x9992)+~P4(f10(x9992),f13(x9993,x9991,x9992),x9992)+P4(x9991,f10(x9992),x9992)+P4(f10(x9992),x9991,x9992)
% 1.09/1.35 [1000]~P54(x10002)+~P4(f10(x10002),f13(x10001,x10003,x10002),x10002)+P4(x10001,f10(x10002),x10002)+P4(f10(x10002),x10001,x10002)
% 1.09/1.35 [1001]~P54(x10012)+~P4(f13(x10013,x10011,x10012),f10(x10012),x10012)+P4(x10011,f10(x10012),x10012)+P4(f10(x10012),x10011,x10012)
% 1.09/1.35 [1002]~P54(x10022)+~P4(f13(x10021,x10023,x10022),f10(x10022),x10022)+P4(x10021,f10(x10022),x10022)+P4(f10(x10022),x10021,x10022)
% 1.09/1.35 [1003]~P54(x10031)+~P4(f13(x10032,x10033,x10031),f10(x10031),x10031)+P4(f10(x10031),x10032,x10031)+P4(f10(x10031),x10033,x10031)
% 1.09/1.35 [1031]~P57(x10311)+~P3(f10(x10311),f13(x10313,x10312,x10311),x10311)+P3(f10(x10311),x10312,x10311)+~P3(f10(x10311),x10313,x10311)
% 1.09/1.35 [1032]~P57(x10321)+~P3(f10(x10321),f13(x10322,x10323,x10321),x10321)+P3(f10(x10321),x10322,x10321)+~P3(f10(x10321),x10323,x10321)
% 1.09/1.35 [640]~P19(x6402)+~P20(x6402)+E(x6401,f10(x6402))+E(f13(f7(x6403,x6401,x6402),x6401,x6402),x6403)
% 1.09/1.35 [783]~P43(x7832)+E(x7831,f10(x7832))+E(x7833,f10(x7832))+E(f13(f5(x7831,x7832),f5(x7833,x7832),x7832),f5(f13(x7833,x7831,x7832),x7832))
% 1.09/1.35 [994]~P34(x9942)+~P4(x9943,f18(x9941,x9942),a20)+~P3(f10(a20),x9943,a20)+P4(f18(f5(x9941,x9942),x9942),f5(x9943,a20),a20)
% 1.09/1.35 [1171]~P43(x11712)+E(x11711,f10(x11712))+E(x11713,f10(x11712))+E(f13(f13(f5(x11713,x11712),f8(x11711,x11713,x11712),x11712),f5(x11711,x11712),x11712),f8(f5(x11713,x11712),f5(x11711,x11712),x11712))
% 1.09/1.35 [1172]~P43(x11722)+E(x11721,f10(x11722))+E(x11723,f10(x11722))+E(f13(f13(f5(x11723,x11722),f12(x11723,x11721,x11722),x11722),f5(x11721,x11722),x11722),f12(f5(x11723,x11722),f5(x11721,x11722),x11722))
% 1.09/1.35 [1173]~P19(x11732)+E(x11731,f10(x11732))+E(x11733,f10(x11732))+E(f13(f13(f12(x11733,x11731,x11732),f5(x11733,x11732),x11732),f5(x11731,x11732),x11732),f12(f5(x11733,x11732),f5(x11731,x11732),x11732))
% 1.09/1.35 [1235]~P53(x12353)+~P3(x12351,f4(x12353),x12353)+~P3(f10(x12353),x12351,x12353)+P3(f13(x12351,f16(x12351,x12352,x12353),x12353),f16(x12351,x12352,x12353),x12353)
% 1.09/1.35 [1190]~P53(x11903)+~P3(x11901,f4(x11903),x11903)+~P3(f10(x11903),x11901,x11903)+P3(f16(x11901,f12(x11902,f4(a1),a1),x11903),f4(x11903),x11903)
% 1.09/1.35 [1318]~P43(x13182)+E(x13181,f10(x13182))+E(x13183,f10(x13182))+E(f14(f13(f13(f5(x13183,x13182),f8(x13183,x13181,x13182),x13182),f5(x13181,x13182),x13182),x13182),f8(f5(x13183,x13182),f5(x13181,x13182),x13182))
% 1.09/1.35 [1327]P4(x13271,x13272,a20)+~P4(f10(a20),x13272,a20)+~P4(f10(a20),x13271,a20)+~P4(f16(x13271,f12(x13273,f4(a1),a1),a20),f16(x13272,f12(x13273,f4(a1),a1),a20),a20)
% 1.09/1.35 [754]~P22(x7543)+~P4(x7541,x7544,x7543)+P4(x7541,x7542,x7543)+~P4(x7544,x7542,x7543)
% 1.09/1.35 [755]~P33(x7553)+~P4(x7551,x7554,x7553)+P4(x7551,x7552,x7553)+~P4(x7554,x7552,x7553)
% 1.09/1.35 [756]~P22(x7563)+~P3(x7561,x7564,x7563)+P3(x7561,x7562,x7563)+~P4(x7564,x7562,x7563)
% 1.09/1.35 [757]~P22(x7573)+~P3(x7574,x7572,x7573)+P3(x7571,x7572,x7573)+~P4(x7571,x7574,x7573)
% 1.09/1.35 [758]~P22(x7583)+~P3(x7581,x7584,x7583)+P3(x7581,x7582,x7583)+~P3(x7584,x7582,x7583)
% 1.09/1.35 [759]~P33(x7593)+~P3(x7591,x7594,x7593)+P3(x7591,x7592,x7593)+~P4(x7594,x7592,x7593)
% 1.09/1.35 [760]~P33(x7603)+~P3(x7604,x7602,x7603)+P3(x7601,x7602,x7603)+~P4(x7601,x7604,x7603)
% 1.09/1.35 [761]~P33(x7613)+~P3(x7611,x7614,x7613)+P3(x7611,x7612,x7613)+~P3(x7614,x7612,x7613)
% 1.09/1.35 [652]~P18(x6524)+~P6(x6524)+E(x6521,x6522)+~E(f12(x6523,x6521,x6524),f12(x6523,x6522,x6524))
% 1.09/1.35 [808]~P53(x8084)+E(x8081,x8082)+~P3(f4(x8084),x8083,x8084)+~E(f16(x8083,x8081,x8084),f16(x8083,x8082,x8084))
% 1.09/1.35 [921]~P53(x9214)+~P3(x9211,x9213,x9214)+~P3(f10(x9214),x9212,x9214)+P3(x9211,f12(x9212,x9213,x9214),x9214)
% 1.09/1.35 [995]~P44(x9953)+~P4(x9952,x9954,x9953)+P4(f16(x9952,x9951,x9953),f16(x9954,x9951,x9953),x9953)+P2(x9951,a1)
% 1.09/1.35 [1077]~P53(x10773)+~P3(x10772,x10774,a1)+~P3(f4(x10773),x10771,x10773)+P3(f16(x10771,x10772,x10773),f16(x10771,x10774,x10773),x10773)
% 1.09/1.35 [1081]~P56(x10813)+~P4(x10814,x10811,x10813)+~P4(x10812,f10(x10813),x10813)+P4(f13(x10811,x10812,x10813),f13(x10814,x10812,x10813),x10813)
% 1.09/1.35 [1082]~P56(x10823)+~P4(x10824,x10822,x10823)+~P4(x10821,f10(x10823),x10823)+P4(f13(x10821,x10822,x10823),f13(x10821,x10824,x10823),x10823)
% 1.09/1.35 [1083]~P54(x10833)+~P4(x10834,x10832,x10833)+~P3(x10831,f10(x10833),x10833)+P4(f13(x10831,x10832,x10833),f13(x10831,x10834,x10833),x10833)
% 1.09/1.35 [1084]~P45(x10843)+~P3(x10844,x10841,x10843)+~P3(x10842,f10(x10843),x10843)+P3(f7(x10841,x10842,x10843),f7(x10844,x10842,x10843),x10843)
% 1.09/1.35 [1086]~P54(x10863)+~P3(x10864,x10861,x10863)+~P3(x10862,f10(x10863),x10863)+P3(f13(x10861,x10862,x10863),f13(x10864,x10862,x10863),x10863)
% 1.09/1.35 [1089]~P54(x10893)+~P3(x10894,x10892,x10893)+~P3(x10891,f10(x10893),x10893)+P3(f13(x10891,x10892,x10893),f13(x10891,x10894,x10893),x10893)
% 1.09/1.35 [1090]~P53(x10903)+~P4(x10901,x10904,x10903)+~P4(f10(x10903),x10901,x10903)+P4(f16(x10901,x10902,x10903),f16(x10904,x10902,x10903),x10903)
% 1.09/1.35 [1091]~P49(x10913)+~P4(x10911,x10914,x10913)+~P4(f10(x10913),x10912,x10913)+P4(f13(x10911,x10912,x10913),f13(x10914,x10912,x10913),x10913)
% 1.09/1.35 [1092]~P54(x10923)+~P4(x10922,x10924,x10923)+~P3(f10(x10923),x10921,x10923)+P4(f13(x10921,x10922,x10923),f13(x10921,x10924,x10923),x10923)
% 1.09/1.35 [1093]~P48(x10933)+~P4(x10932,x10934,x10933)+~P4(f10(x10933),x10931,x10933)+P4(f13(x10931,x10932,x10933),f13(x10931,x10934,x10933),x10933)
% 1.09/1.35 [1094]~P49(x10943)+~P4(x10942,x10944,x10943)+~P4(f10(x10943),x10941,x10943)+P4(f13(x10941,x10942,x10943),f13(x10941,x10944,x10943),x10943)
% 1.09/1.35 [1095]~P45(x10953)+~P3(x10951,x10954,x10953)+~P3(f10(x10953),x10952,x10953)+P3(f7(x10951,x10952,x10953),f7(x10954,x10952,x10953),x10953)
% 1.09/1.35 [1096]~P54(x10963)+~P3(x10961,x10964,x10963)+~P3(f10(x10963),x10962,x10963)+P3(f13(x10961,x10962,x10963),f13(x10964,x10962,x10963),x10963)
% 1.09/1.35 [1097]~P57(x10973)+~P3(x10971,x10974,x10973)+~P3(f10(x10973),x10972,x10973)+P3(f13(x10971,x10972,x10973),f13(x10974,x10972,x10973),x10973)
% 1.09/1.35 [1099]~P54(x10993)+~P3(x10992,x10994,x10993)+~P3(f10(x10993),x10991,x10993)+P3(f13(x10991,x10992,x10993),f13(x10991,x10994,x10993),x10993)
% 1.09/1.35 [1100]~P57(x11003)+~P3(x11002,x11004,x11003)+~P3(f10(x11003),x11001,x11003)+P3(f13(x11001,x11002,x11003),f13(x11001,x11004,x11003),x11003)
% 1.09/1.35 [1101]~P50(x11013)+~P3(x11012,x11014,x11013)+~P3(f10(x11013),x11011,x11013)+P3(f13(x11011,x11012,x11013),f13(x11011,x11014,x11013),x11013)
% 1.09/1.35 [1126]~P45(x11264)+~P3(f10(x11264),x11263,x11264)+~P4(f13(x11261,x11263,x11264),x11262,x11264)+P4(x11261,f7(x11262,x11263,x11264),x11264)
% 1.09/1.35 [1127]~P45(x11274)+~P3(f10(x11274),x11273,x11274)+~P3(f13(x11271,x11273,x11274),x11272,x11274)+P3(x11271,f7(x11272,x11273,x11274),x11274)
% 1.09/1.35 [1128]~P45(x11283)+~P3(f10(x11283),x11282,x11283)+~P4(x11281,f13(x11284,x11282,x11283),x11283)+P4(f7(x11281,x11282,x11283),x11284,x11283)
% 1.09/1.35 [1129]~P45(x11293)+~P3(f10(x11293),x11292,x11293)+~P3(x11291,f13(x11294,x11292,x11293),x11293)+P3(f7(x11291,x11292,x11293),x11294,x11293)
% 1.09/1.35 [1143]P3(x11432,x11431,x11433)+~P54(x11433)+P3(x11431,x11432,x11433)+~P3(f13(x11434,x11431,x11433),f13(x11434,x11432,x11433),x11433)
% 1.09/1.35 [1144]P3(x11442,x11441,x11443)+~P54(x11443)+P3(x11441,x11442,x11443)+~P3(f13(x11441,x11444,x11443),f13(x11442,x11444,x11443),x11443)
% 1.09/1.35 [1148]~P54(x11483)+P3(x11481,x11482,x11483)+~P3(f13(x11481,x11484,x11483),f13(x11482,x11484,x11483),x11483)+P3(x11484,f10(x11483),x11483)
% 1.09/1.35 [1149]~P54(x11493)+P3(x11491,x11492,x11493)+~P3(f13(x11494,x11491,x11493),f13(x11494,x11492,x11493),x11493)+P3(x11494,f10(x11493),x11493)
% 1.09/1.35 [1150]~P54(x11503)+P3(x11501,x11502,x11503)+~P3(f13(x11504,x11502,x11503),f13(x11504,x11501,x11503),x11503)+P3(f10(x11503),x11504,x11503)
% 1.09/1.35 [1151]~P54(x11513)+P3(x11511,x11512,x11513)+~P3(f13(x11512,x11514,x11513),f13(x11511,x11514,x11513),x11513)+P3(f10(x11513),x11514,x11513)
% 1.09/1.35 [1158]~P54(x11582)+~P3(f13(x11583,x11581,x11582),f13(x11584,x11581,x11582),x11582)+P3(x11581,f10(x11582),x11582)+P3(f10(x11582),x11581,x11582)
% 1.09/1.35 [1159]~P54(x11592)+~P3(f13(x11591,x11593,x11592),f13(x11591,x11594,x11592),x11592)+P3(x11591,f10(x11592),x11592)+P3(f10(x11592),x11591,x11592)
% 1.09/1.35 [1175]~P53(x11753)+~P3(f16(x11754,x11751,x11753),f16(x11754,x11752,x11753),x11753)+P3(x11751,x11752,a1)+~P3(f4(x11753),x11754,x11753)
% 1.09/1.35 [1178]~P54(x11783)+P4(x11781,x11782,x11783)+~P4(f13(x11784,x11782,x11783),f13(x11784,x11781,x11783),x11783)+~P3(x11784,f10(x11783),x11783)
% 1.09/1.35 [1179]~P54(x11793)+P3(x11791,x11792,x11793)+~P3(f13(x11794,x11792,x11793),f13(x11794,x11791,x11793),x11793)+~P3(x11794,f10(x11793),x11793)
% 1.09/1.35 [1180]~P54(x11803)+P4(x11801,x11802,x11803)+~P4(f13(x11804,x11801,x11803),f13(x11804,x11802,x11803),x11803)+~P3(f10(x11803),x11804,x11803)
% 1.09/1.35 [1181]~P57(x11813)+P4(x11811,x11812,x11813)+~P4(f13(x11814,x11811,x11813),f13(x11814,x11812,x11813),x11813)+~P3(f10(x11813),x11814,x11813)
% 1.09/1.35 [1182]~P57(x11823)+P4(x11821,x11822,x11823)+~P4(f13(x11821,x11824,x11823),f13(x11822,x11824,x11823),x11823)+~P3(f10(x11823),x11824,x11823)
% 1.09/1.35 [1183]~P53(x11833)+P3(x11831,x11832,x11833)+~P4(f10(x11833),x11832,x11833)+~P3(f16(x11831,x11834,x11833),f16(x11832,x11834,x11833),x11833)
% 1.09/1.35 [1184]~P54(x11843)+P3(x11841,x11842,x11843)+~P3(f13(x11844,x11841,x11843),f13(x11844,x11842,x11843),x11843)+~P3(f10(x11843),x11844,x11843)
% 1.09/1.35 [1185]~P57(x11853)+P3(x11851,x11852,x11853)+~P3(f13(x11854,x11851,x11853),f13(x11854,x11852,x11853),x11853)+~P4(f10(x11853),x11854,x11853)
% 1.09/1.35 [1186]~P57(x11863)+P3(x11861,x11862,x11863)+~P3(f13(x11861,x11864,x11863),f13(x11862,x11864,x11863),x11863)+~P4(f10(x11863),x11864,x11863)
% 1.09/1.35 [1187]~P58(x11873)+P3(x11871,x11872,x11873)+~P3(f13(x11874,x11871,x11873),f13(x11874,x11872,x11873),x11873)+~P4(f10(x11873),x11874,x11873)
% 1.09/1.35 [1188]~P58(x11883)+P3(x11881,x11882,x11883)+~P3(f13(x11881,x11884,x11883),f13(x11882,x11884,x11883),x11883)+~P4(f10(x11883),x11884,x11883)
% 1.09/1.35 [909]~P19(x9092)+~P20(x9092)+E(x9091,f10(x9092))+E(f7(f13(x9093,x9091,x9092),f13(x9094,x9091,x9092),x9092),f7(x9093,x9094,x9092))
% 1.09/1.35 [910]~P19(x9102)+~P20(x9102)+E(x9101,f10(x9102))+E(f7(f13(x9101,x9103,x9102),f13(x9101,x9104,x9102),x9102),f7(x9103,x9104,x9102))
% 1.09/1.35 [1110]~P39(x11102)+E(x11101,f10(x11102))+~P4(x11103,f10(a20),a20)+~P4(f18(x11101,x11102),f13(x11103,f18(x11104,x11102),a20),a20)
% 1.09/1.35 [1299]~P3(f13(x12994,x12991,a20),f13(x12992,x12993,a20),a20)+~P3(f10(a20),x12994,a20)+~P3(f10(a20),x12992,a20)+P3(f13(x12991,f5(x12992,a20),a20),f13(x12993,f5(x12994,a20),a20),a20)
% 1.09/1.35 [1300]~P3(f13(x13003,x13002,a20),f13(x13001,x13004,a20),a20)+~P3(f10(a20),x13003,a20)+~P3(f10(a20),x13001,a20)+P3(f13(f5(x13001,a20),x13002,a20),f13(f5(x13003,a20),x13004,a20),a20)
% 1.09/1.35 [1165]~P19(x11652)+~P20(x11652)+E(x11651,f10(x11652))+E(f7(f12(x11653,f13(x11654,x11651,x11652),x11652),x11651,x11652),f12(x11654,f7(x11653,x11651,x11652),x11652))
% 1.09/1.35 [1166]~P19(x11662)+~P20(x11662)+E(x11661,f10(x11662))+E(f7(f12(x11663,f13(x11664,x11661,x11662),x11662),x11661,x11662),f12(f7(x11663,x11661,x11662),x11664,x11662))
% 1.09/1.35 [1326]~P53(x13263)+P4(x13261,x13262,x13263)+~P4(f10(x13263),x13262,x13263)+~P4(f16(x13261,f12(x13264,f4(a1),a1),x13263),f16(x13262,f12(x13264,f4(a1),a1),x13263),x13263)
% 1.09/1.35 [1336]~P21(x13362)+E(x13361,f10(x13362))+E(x13363,f10(x13362))+E(f14(f13(f13(f5(x13363,x13362),f7(f8(x13363,x13361,x13362),x13364,x13362),x13362),f5(x13361,x13362),x13362),x13362),f7(f8(f5(x13363,x13362),f5(x13361,x13362),x13362),x13364,x13362))
% 1.09/1.35 [855]~P27(x8553)+~P4(x8555,x8554,x8553)+P4(x8551,x8552,x8553)+~E(f8(x8554,x8555,x8553),f8(x8552,x8551,x8553))
% 1.09/1.35 [856]~P27(x8563)+~P4(x8565,x8564,x8563)+P4(x8561,x8562,x8563)+~E(f8(x8562,x8561,x8563),f8(x8564,x8565,x8563))
% 1.09/1.35 [857]~P27(x8573)+~P3(x8574,x8575,x8573)+P3(x8571,x8572,x8573)+~E(f8(x8574,x8575,x8573),f8(x8571,x8572,x8573))
% 1.09/1.35 [858]~P27(x8583)+~P3(x8584,x8585,x8583)+P3(x8581,x8582,x8583)+~E(f8(x8581,x8582,x8583),f8(x8584,x8585,x8583))
% 1.09/1.35 [1067]~P29(x10673)+~P4(x10672,x10675,x10673)+~P4(x10671,x10674,x10673)+P4(f12(x10671,x10672,x10673),f12(x10674,x10675,x10673),x10673)
% 1.09/1.35 [1068]~P32(x10683)+~P4(x10682,x10685,x10683)+~P3(x10681,x10684,x10683)+P3(f12(x10681,x10682,x10683),f12(x10684,x10685,x10683),x10683)
% 1.09/1.35 [1069]~P32(x10693)+~P4(x10691,x10694,x10693)+~P3(x10692,x10695,x10693)+P3(f12(x10691,x10692,x10693),f12(x10694,x10695,x10693),x10693)
% 1.09/1.35 [1070]~P32(x10703)+~P3(x10702,x10705,x10703)+~P3(x10701,x10704,x10703)+P3(f12(x10701,x10702,x10703),f12(x10704,x10705,x10703),x10703)
% 1.09/1.35 [1125]~P27(x11254)+~P4(x11255,x11253,x11254)+~P4(x11251,f12(x11252,x11255,x11254),x11254)+P4(x11251,f12(x11252,x11253,x11254),x11254)
% 1.09/1.35 [1233]~P39(x12333)+~P3(f18(x12332,x12333),x12335,a20)+~P3(f18(x12331,x12333),x12334,a20)+P3(f18(f12(x12331,x12332,x12333),x12333),f12(x12334,x12335,a20),a20)
% 1.09/1.35 [1234]~P35(x12343)+~P3(f18(x12342,x12343),x12345,a20)+~P3(f18(x12341,x12343),x12344,a20)+P3(f18(f13(x12341,x12342,x12343),x12343),f13(x12344,x12345,a20),a20)
% 1.09/1.35 [1308]~P19(x13082)+E(x13081,f10(x13082))+E(x13083,f10(x13082))+E(f7(f8(f13(x13084,x13081,x13082),f13(x13085,x13083,x13082),x13082),f13(x13083,x13081,x13082),x13082),f8(f7(x13084,x13083,x13082),f7(x13085,x13081,x13082),x13082))
% 1.09/1.35 [1309]~P19(x13092)+E(x13091,f10(x13092))+E(x13093,f10(x13092))+E(f7(f12(f13(x13094,x13091,x13092),f13(x13095,x13093,x13092),x13092),f13(x13093,x13091,x13092),x13092),f12(f7(x13094,x13093,x13092),f7(x13095,x13091,x13092),x13092))
% 1.09/1.35 [805]~P20(x8052)+~P45(x8052)+P4(f4(x8052),x8051,x8052)+~P4(f5(x8051,x8052),f4(x8052),x8052)+P4(x8051,f10(x8052),x8052)
% 1.09/1.35 [806]~P20(x8062)+~P45(x8062)+P3(f4(x8062),x8061,x8062)+~P3(f5(x8061,x8062),f4(x8062),x8062)+P4(x8061,f10(x8062),x8062)
% 1.09/1.35 [831]~P20(x8311)+~P45(x8311)+~P3(f10(x8311),x8312,x8311)+~P4(x8312,f4(x8311),x8311)+P4(f4(x8311),f5(x8312,x8311),x8311)
% 1.09/1.35 [832]~P20(x8321)+~P45(x8321)+~P3(f10(x8321),x8322,x8321)+~P3(x8322,f4(x8321),x8321)+P3(f4(x8321),f5(x8322,x8321),x8321)
% 1.09/1.35 [543]~P66(x5432)+~P46(x5432)+~P47(x5432)+~P37(x5432)+~E(f16(x5431,f10(a1),x5432),f10(x5432))
% 1.09/1.35 [409]~P43(x4093)+E(x4091,x4092)+~E(f5(x4091,x4093),f5(x4092,x4093))+E(x4092,f10(x4093))+E(x4091,f10(x4093))
% 1.09/1.35 [825]~P44(x8253)+~P4(x8252,f10(x8253),x8253)+P4(f16(x8252,x8251,x8253),f10(x8253),x8253)+P2(x8251,a1)+E(x8251,f10(a1))
% 1.09/1.35 [838]~P31(x8382)+~P4(f10(x8382),x8381,x8382)+~P4(f10(x8382),x8383,x8382)+~E(f12(x8383,x8381,x8382),f10(x8382))+E(x8381,f10(x8382))
% 1.09/1.35 [839]~P31(x8392)+~P4(f10(x8392),x8393,x8392)+~P4(f10(x8392),x8391,x8392)+~E(f12(x8391,x8393,x8392),f10(x8392))+E(x8391,f10(x8392))
% 1.09/1.35 [918]~P44(x9182)+~P3(f10(x9182),f16(x9183,x9181,x9182),x9182)+P3(f10(x9182),x9183,x9182)+P2(x9181,a1)+E(x9181,f10(a1))
% 1.09/1.35 [986]~P20(x9861)+~P45(x9861)+~P4(x9863,f10(x9861),x9861)+~P4(x9862,f10(x9861),x9861)+P4(f10(x9861),f7(x9862,x9863,x9861),x9861)
% 1.09/1.35 [988]~P20(x9881)+~P45(x9881)+~P4(f10(x9881),x9883,x9881)+~P4(f10(x9881),x9882,x9881)+P4(f10(x9881),f7(x9882,x9883,x9881),x9881)
% 1.09/1.35 [990]~P20(x9903)+~P45(x9903)+~P4(x9902,f10(x9903),x9903)+~P4(f10(x9903),x9901,x9903)+P4(f7(x9901,x9902,x9903),f10(x9903),x9903)
% 1.09/1.35 [991]~P20(x9913)+~P45(x9913)+~P4(x9911,f10(x9913),x9913)+~P4(f10(x9913),x9912,x9913)+P4(f7(x9911,x9912,x9913),f10(x9913),x9913)
% 1.09/1.35 [1009]~P20(x10092)+~P45(x10092)+~P4(f7(x10093,x10091,x10092),f10(x10092),x10092)+P4(x10091,f10(x10092),x10092)+P4(x10093,f10(x10092),x10092)
% 1.09/1.35 [1010]~P20(x10102)+~P45(x10102)+~P3(f7(x10103,x10101,x10102),f10(x10102),x10102)+P3(x10101,f10(x10102),x10102)+P3(x10103,f10(x10102),x10102)
% 1.09/1.35 [1011]~P20(x10112)+~P45(x10112)+~P4(f10(x10112),f7(x10113,x10111,x10112),x10112)+P4(x10111,f10(x10112),x10112)+P4(f10(x10112),x10113,x10112)
% 1.09/1.35 [1012]~P20(x10122)+~P45(x10122)+~P4(f10(x10122),f7(x10121,x10123,x10122),x10122)+P4(x10121,f10(x10122),x10122)+P4(f10(x10122),x10123,x10122)
% 1.09/1.35 [1013]~P20(x10132)+~P45(x10132)+~P4(f10(x10132),f7(x10133,x10131,x10132),x10132)+P4(x10131,f10(x10132),x10132)+P4(f10(x10132),x10131,x10132)
% 1.09/1.35 [1014]~P20(x10142)+~P45(x10142)+~P4(f10(x10142),f7(x10141,x10143,x10142),x10142)+P4(x10141,f10(x10142),x10142)+P4(f10(x10142),x10141,x10142)
% 1.09/1.35 [1015]~P20(x10152)+~P45(x10152)+~P3(f10(x10152),f7(x10153,x10151,x10152),x10152)+P3(x10151,f10(x10152),x10152)+P3(f10(x10152),x10153,x10152)
% 1.09/1.35 [1016]~P20(x10162)+~P45(x10162)+~P3(f10(x10162),f7(x10161,x10163,x10162),x10162)+P3(x10161,f10(x10162),x10162)+P3(f10(x10162),x10163,x10162)
% 1.09/1.35 [1017]~P20(x10172)+~P45(x10172)+~P3(f10(x10172),f7(x10173,x10171,x10172),x10172)+P3(x10171,f10(x10172),x10172)+P3(f10(x10172),x10171,x10172)
% 1.09/1.35 [1018]~P20(x10182)+~P45(x10182)+~P3(f10(x10182),f7(x10181,x10183,x10182),x10182)+P3(x10181,f10(x10182),x10182)+P3(f10(x10182),x10181,x10182)
% 1.09/1.35 [1019]~P20(x10192)+~P45(x10192)+~P4(f7(x10193,x10191,x10192),f10(x10192),x10192)+P4(x10191,f10(x10192),x10192)+P4(f10(x10192),x10191,x10192)
% 1.09/1.35 [1020]~P20(x10202)+~P45(x10202)+~P4(f7(x10201,x10203,x10202),f10(x10202),x10202)+P4(x10201,f10(x10202),x10202)+P4(f10(x10202),x10201,x10202)
% 1.09/1.35 [1021]~P20(x10212)+~P45(x10212)+~P3(f7(x10213,x10211,x10212),f10(x10212),x10212)+P3(x10211,f10(x10212),x10212)+P3(f10(x10212),x10211,x10212)
% 1.09/1.35 [1022]~P20(x10222)+~P45(x10222)+~P3(f7(x10221,x10223,x10222),f10(x10222),x10222)+P3(x10221,f10(x10222),x10222)+P3(f10(x10222),x10221,x10222)
% 1.09/1.35 [1023]~P20(x10231)+~P45(x10231)+~P4(f7(x10232,x10233,x10231),f10(x10231),x10231)+P4(f10(x10231),x10232,x10231)+P4(f10(x10231),x10233,x10231)
% 1.09/1.35 [1024]~P20(x10241)+~P45(x10241)+~P3(f7(x10242,x10243,x10241),f10(x10241),x10241)+P3(f10(x10241),x10242,x10241)+P3(f10(x10241),x10243,x10241)
% 1.09/1.35 [1079]~P44(x10793)+~P4(x10791,f4(x10793),x10793)+~P4(f10(x10793),x10792,x10793)+~P4(f10(x10793),x10791,x10793)+P4(f13(x10791,x10792,x10793),x10792,x10793)
% 1.09/1.35 [1080]~P44(x10803)+~P4(x10802,f4(x10803),x10803)+~P4(f10(x10803),x10802,x10803)+~P4(f10(x10803),x10801,x10803)+P4(f13(x10801,x10802,x10803),x10801,x10803)
% 1.09/1.35 [541]~P19(x5412)+~P20(x5412)+~P7(x5412)+~E(f17(x5411,x5412),f10(x5412))+E(f17(x5411,x5412),f7(x5413,f10(x5412),x5412))
% 1.09/1.35 [542]~P19(x5422)+~P20(x5422)+~P7(x5422)+~E(f17(x5423,x5422),f10(x5422))+E(f7(x5421,f10(x5422),x5422),f17(x5423,x5422))
% 1.09/1.35 [550]~P19(x5503)+~P20(x5503)+~P7(x5503)+~E(f17(x5502,x5503),f10(x5503))+E(f7(x5501,f17(x5502,x5503),x5503),f10(x5503))
% 1.09/1.35 [582]~P19(x5822)+~P20(x5822)+~P7(x5822)+E(f17(x5821,x5822),f10(x5822))+~E(f17(x5821,x5822),f7(x5823,f10(x5822),x5822))
% 1.09/1.35 [583]~P19(x5832)+~P20(x5832)+~P7(x5832)+E(f17(x5831,x5832),f10(x5832))+~E(f7(x5833,f10(x5832),x5832),f17(x5831,x5832))
% 1.09/1.35 [813]~P19(x8132)+~P20(x8132)+~P7(x8132)+~E(f17(x8131,x8132),f10(x8132))+E(f7(f13(f17(x8131,x8132),x8133,x8132),x8133,x8132),f17(x8131,x8132))
% 1.09/1.35 [933]~P30(x9334)+~P11(x9334)+~P4(x9331,x9333,x9334)+~P4(f10(x9334),x9332,x9334)+P4(x9331,f12(x9332,x9333,x9334),x9334)
% 1.09/1.35 [934]~P30(x9344)+~P11(x9344)+~P4(x9341,x9342,x9344)+~P4(f10(x9344),x9343,x9344)+P4(x9341,f12(x9342,x9343,x9344),x9344)
% 1.09/1.35 [935]~P30(x9354)+~P11(x9354)+~P4(x9351,x9353,x9354)+~P3(f10(x9354),x9352,x9354)+P3(x9351,f12(x9352,x9353,x9354),x9354)
% 1.09/1.35 [936]~P30(x9364)+~P11(x9364)+~P3(x9361,x9363,x9364)+~P4(f10(x9364),x9362,x9364)+P3(x9361,f12(x9362,x9363,x9364),x9364)
% 1.09/1.35 [1104]~P20(x11043)+~P45(x11043)+~P4(x11044,x11041,x11043)+~P4(x11042,f10(x11043),x11043)+P4(f7(x11041,x11042,x11043),f7(x11044,x11042,x11043),x11043)
% 1.09/1.35 [1105]~P20(x11053)+~P45(x11053)+~P4(x11051,x11054,x11053)+~P4(f10(x11053),x11052,x11053)+P4(f7(x11051,x11052,x11053),f7(x11054,x11052,x11053),x11053)
% 1.09/1.35 [1135]~P20(x11354)+~P45(x11354)+~P3(f10(x11354),x11353,x11354)+~P4(f7(x11351,x11353,x11354),x11352,x11354)+P4(x11351,f13(x11352,x11353,x11354),x11354)
% 1.09/1.35 [1137]~P20(x11374)+~P45(x11374)+~P3(f10(x11374),x11373,x11374)+~P3(f7(x11371,x11373,x11374),x11372,x11374)+P3(x11371,f13(x11372,x11373,x11374),x11374)
% 1.09/1.35 [1139]~P20(x11393)+~P45(x11393)+~P3(f10(x11393),x11392,x11393)+~P4(x11391,f7(x11394,x11392,x11393),x11393)+P4(f13(x11391,x11392,x11393),x11394,x11393)
% 1.09/1.35 [1141]~P20(x11413)+~P45(x11413)+~P3(f10(x11413),x11412,x11413)+~P3(x11411,f7(x11414,x11412,x11413),x11413)+P3(f13(x11411,x11412,x11413),x11414,x11413)
% 1.09/1.35 [1152]~P53(x11523)+~P3(x11521,x11524,x11523)+~P4(f10(x11523),x11521,x11523)+P3(f16(x11521,x11522,x11523),f16(x11524,x11522,x11523),x11523)+~P3(f10(a1),x11522,a1)
% 1.09/1.35 [1160]~P53(x11603)+~P3(x11604,x11602,a1)+~P3(x11601,f4(x11603),x11603)+~P3(f10(x11603),x11601,x11603)+P3(f16(x11601,x11602,x11603),f16(x11601,x11604,x11603),x11603)
% 1.09/1.35 [1255]~P45(x12553)+~P3(x12552,x12554,x12553)+~P3(x12551,f10(x12553),x12553)+~P3(f10(x12553),f13(x12552,x12554,x12553),x12553)+P3(f7(x12551,x12552,x12553),f7(x12551,x12554,x12553),x12553)
% 1.09/1.35 [1256]~P45(x12563)+~P4(x12564,x12562,x12563)+~P4(f10(x12563),x12561,x12563)+~P3(f10(x12563),f13(x12562,x12564,x12563),x12563)+P4(f7(x12561,x12562,x12563),f7(x12561,x12564,x12563),x12563)
% 1.09/1.35 [1257]~P45(x12573)+~P3(x12574,x12572,x12573)+~P3(f10(x12573),x12571,x12573)+~P3(f10(x12573),f13(x12572,x12574,x12573),x12573)+P3(f7(x12571,x12572,x12573),f7(x12571,x12574,x12573),x12573)
% 1.09/1.35 [1254]~P53(x12544)+E(x12541,x12542)+~P4(f10(x12544),x12542,x12544)+~P4(f10(x12544),x12541,x12544)+~E(f16(x12541,f12(x12543,f4(a1),a1),x12544),f16(x12542,f12(x12543,f4(a1),a1),x12544))
% 1.09/1.35 [842]~P19(x8422)+~E(f13(x8424,x8423,x8422),f13(x8425,x8421,x8422))+E(f7(x8424,x8421,x8422),f7(x8425,x8423,x8422))+E(x8421,f10(x8422))+E(x8423,f10(x8422))
% 1.09/1.35 [843]~P19(x8432)+~E(f7(x8434,x8433,x8432),f7(x8435,x8431,x8432))+E(f13(x8434,x8431,x8432),f13(x8435,x8433,x8432))+E(x8431,f10(x8432))+E(x8433,f10(x8432))
% 1.09/1.35 [1142]~P18(x11424)+~P6(x11424)+E(x11421,x11422)+E(x11423,f10(x11424))+~E(f12(x11425,f13(x11423,x11421,x11424),x11424),f12(x11425,f13(x11423,x11422,x11424),x11424))
% 1.09/1.35 [1294]~P18(x12945)+~P6(x12945)+E(x12941,x12942)+E(x12943,x12944)+~E(f12(f13(x12943,x12941,x12945),f13(x12944,x12942,x12945),x12945),f12(f13(x12943,x12942,x12945),f13(x12944,x12941,x12945),x12945))
% 1.09/1.35 [495]~P66(x4952)+~P46(x4952)+~P47(x4952)+~P37(x4952)+E(x4951,f10(a1))+E(f16(f10(x4952),x4951,x4952),f10(x4952))
% 1.09/1.35 [545]~P66(x5452)+~P46(x5452)+~P47(x5452)+~P37(x5452)+~E(f16(x5451,x5453,x5452),f10(x5452))+E(x5451,f10(x5452))
% 1.09/1.35 [627]~P66(x6273)+~P46(x6273)+~P47(x6273)+~P37(x6273)+~E(f17(x6271,a1),f10(a1))+~E(f16(x6272,f17(x6271,a1),x6273),f10(x6273))
% 1.09/1.35 [1004]~P20(x10042)+~P45(x10042)+P3(x10041,f10(x10042),x10042)+P3(f10(x10042),x10041,x10042)+~P4(x10043,f10(x10042),x10042)+P4(x10043,f7(x10044,x10041,x10042),x10042)
% 1.09/1.35 [1005]~P20(x10052)+~P45(x10052)+P3(x10051,f10(x10052),x10052)+P3(f10(x10052),x10051,x10052)+~P3(x10053,f10(x10052),x10052)+P3(x10053,f7(x10054,x10051,x10052),x10052)
% 1.09/1.35 [1006]~P20(x10062)+~P45(x10062)+P3(x10061,f10(x10062),x10062)+P3(f10(x10062),x10061,x10062)+~P4(f10(x10062),x10064,x10062)+P4(f7(x10063,x10061,x10062),x10064,x10062)
% 1.09/1.35 [1007]~P20(x10072)+~P45(x10072)+P3(x10071,f10(x10072),x10072)+P3(f10(x10072),x10071,x10072)+~P3(f10(x10072),x10074,x10072)+P3(f7(x10073,x10071,x10072),x10074,x10072)
% 1.09/1.35 [1071]~P20(x10712)+~P45(x10712)+P4(x10711,f10(x10712),x10712)+P3(f10(x10712),x10713,x10712)+~P4(x10711,f7(x10714,x10713,x10712),x10712)+P3(x10713,f10(x10712),x10712)
% 1.09/1.35 [1072]~P20(x10722)+~P45(x10722)+P3(x10721,f10(x10722),x10722)+P3(f10(x10722),x10721,x10722)+~P3(x10723,f7(x10724,x10721,x10722),x10722)+P3(x10723,f10(x10722),x10722)
% 1.09/1.35 [1073]~P20(x10732)+~P45(x10732)+P3(x10731,f10(x10732),x10732)+P3(f10(x10732),x10731,x10732)+~P4(f7(x10734,x10731,x10732),x10733,x10732)+P4(f10(x10732),x10733,x10732)
% 1.09/1.35 [1074]~P20(x10742)+~P45(x10742)+P3(x10741,f10(x10742),x10742)+P3(f10(x10742),x10741,x10742)+~P3(f7(x10744,x10741,x10742),x10743,x10742)+P3(f10(x10742),x10743,x10742)
% 1.09/1.35 [1102]~P53(x11024)+E(x11021,x11022)+~P4(f10(x11024),x11022,x11024)+~P4(f10(x11024),x11021,x11024)+~E(f16(x11021,x11023,x11024),f16(x11022,x11023,x11024))+~P3(f10(a1),x11023,a1)
% 1.09/1.35 [1191]~P20(x11912)+~P45(x11912)+~P4(f13(x11913,x11911,x11912),x11914,x11912)+P3(x11911,f10(x11912),x11912)+~P4(x11913,f10(x11912),x11912)+P4(x11913,f7(x11914,x11911,x11912),x11912)
% 1.09/1.35 [1192]~P20(x11922)+~P45(x11922)+~P3(f13(x11923,x11921,x11922),x11924,x11922)+P3(x11921,f10(x11922),x11922)+~P3(x11923,f10(x11922),x11922)+P3(x11923,f7(x11924,x11921,x11922),x11922)
% 1.09/1.35 [1193]~P20(x11932)+~P45(x11932)+~P4(x11933,f13(x11934,x11931,x11932),x11932)+P3(x11931,f10(x11932),x11932)+~P4(f10(x11932),x11934,x11932)+P4(f7(x11933,x11931,x11932),x11934,x11932)
% 1.09/1.35 [1194]~P20(x11942)+~P45(x11942)+~P3(x11943,f13(x11944,x11941,x11942),x11942)+P3(x11941,f10(x11942),x11942)+~P3(f10(x11942),x11944,x11942)+P3(f7(x11943,x11941,x11942),x11944,x11942)
% 1.09/1.35 [1195]~P20(x11951)+~P45(x11951)+~P4(x11954,f13(x11953,x11952,x11951),x11951)+~P4(x11953,f10(x11951),x11951)+P3(f10(x11951),x11952,x11951)+P4(x11953,f7(x11954,x11952,x11951),x11951)
% 1.09/1.35 [1196]~P20(x11961)+~P45(x11961)+~P4(x11964,f13(x11963,x11962,x11961),x11961)+~P3(x11962,f10(x11961),x11961)+P3(f10(x11961),x11962,x11961)+P4(x11963,f7(x11964,x11962,x11961),x11961)
% 1.09/1.35 [1197]~P20(x11971)+~P45(x11971)+~P4(x11974,f7(x11973,x11972,x11971),x11971)+~P3(x11972,f10(x11971),x11971)+P3(f10(x11971),x11972,x11971)+P4(x11973,f13(x11974,x11972,x11971),x11971)
% 1.09/1.35 [1198]~P20(x11981)+~P45(x11981)+~P3(x11984,f13(x11983,x11982,x11981),x11981)+~P3(x11982,f10(x11981),x11981)+P3(f10(x11981),x11982,x11981)+P3(x11983,f7(x11984,x11982,x11981),x11981)
% 1.09/1.35 [1199]~P20(x11991)+~P45(x11991)+~P3(x11994,f13(x11993,x11992,x11991),x11991)+~P3(x11993,f10(x11991),x11991)+P3(f10(x11991),x11992,x11991)+P3(x11993,f7(x11994,x11992,x11991),x11991)
% 1.09/1.35 [1200]~P20(x12001)+~P45(x12001)+~P3(x12004,f7(x12003,x12002,x12001),x12001)+~P3(x12002,f10(x12001),x12001)+P3(f10(x12001),x12002,x12001)+P3(x12003,f13(x12004,x12002,x12001),x12001)
% 1.09/1.35 [1201]~P20(x12011)+~P45(x12011)+~P4(f13(x12014,x12012,x12011),x12013,x12011)+~P3(x12012,f10(x12011),x12011)+P3(f10(x12011),x12012,x12011)+P4(f7(x12013,x12012,x12011),x12014,x12011)
% 1.09/1.35 [1202]~P20(x12021)+~P45(x12021)+~P4(f7(x12024,x12022,x12021),x12023,x12021)+~P3(x12022,f10(x12021),x12021)+P3(f10(x12021),x12022,x12021)+P4(f13(x12023,x12022,x12021),x12024,x12021)
% 1.09/1.35 [1203]~P20(x12031)+~P45(x12031)+~P3(f13(x12034,x12032,x12031),x12033,x12031)+~P3(x12032,f10(x12031),x12031)+P3(f10(x12031),x12032,x12031)+P3(f7(x12033,x12032,x12031),x12034,x12031)
% 1.09/1.35 [1204]~P20(x12041)+~P45(x12041)+~P3(f7(x12044,x12042,x12041),x12043,x12041)+~P3(x12042,f10(x12041),x12041)+P3(f10(x12041),x12042,x12041)+P3(f13(x12043,x12042,x12041),x12044,x12041)
% 1.09/1.35 [1205]~P20(x12051)+~P45(x12051)+~P4(f13(x12054,x12052,x12051),x12053,x12051)+~P4(f10(x12051),x12054,x12051)+P3(f10(x12051),x12052,x12051)+P4(f7(x12053,x12052,x12051),x12054,x12051)
% 1.09/1.35 [1206]~P20(x12061)+~P45(x12061)+~P3(f13(x12064,x12062,x12061),x12063,x12061)+~P3(f10(x12061),x12064,x12061)+P3(f10(x12061),x12062,x12061)+P3(f7(x12063,x12062,x12061),x12064,x12061)
% 1.09/1.35 [1258]~P20(x12583)+~P45(x12583)+~P4(x12582,x12584,x12583)+~P4(x12581,f10(x12583),x12583)+~P3(f10(x12583),f13(x12582,x12584,x12583),x12583)+P4(f7(x12581,x12582,x12583),f7(x12581,x12584,x12583),x12583)
% 1.09/1.35 [1277]~P20(x12774)+~P45(x12774)+~P4(x12771,f10(x12774),x12774)+~P4(x12772,f13(x12771,x12773,x12774),x12774)+~P4(f13(x12771,x12773,x12774),x12772,x12774)+P4(x12771,f7(x12772,x12773,x12774),x12774)
% 1.09/1.35 [1278]~P20(x12784)+~P45(x12784)+~P3(x12783,f10(x12784),x12784)+~P4(x12782,f13(x12781,x12783,x12784),x12784)+~P4(f13(x12781,x12783,x12784),x12782,x12784)+P4(x12781,f7(x12782,x12783,x12784),x12784)
% 1.09/1.35 [1279]~P20(x12794)+~P45(x12794)+~P3(x12793,f10(x12794),x12794)+~P3(x12792,f13(x12791,x12793,x12794),x12794)+~P3(f13(x12791,x12793,x12794),x12792,x12794)+P3(x12791,f7(x12792,x12793,x12794),x12794)
% 1.09/1.35 [1280]~P20(x12804)+~P45(x12804)+~P3(x12801,f10(x12804),x12804)+~P3(x12802,f13(x12801,x12803,x12804),x12804)+~P3(f13(x12801,x12803,x12804),x12802,x12804)+P3(x12801,f7(x12802,x12803,x12804),x12804)
% 1.09/1.35 [1281]~P20(x12813)+~P45(x12813)+~P3(x12812,f10(x12813),x12813)+~P4(x12811,f13(x12814,x12812,x12813),x12813)+~P4(f13(x12814,x12812,x12813),x12811,x12813)+P4(f7(x12811,x12812,x12813),x12814,x12813)
% 1.09/1.35 [1282]~P20(x12823)+~P45(x12823)+~P3(x12822,f10(x12823),x12823)+~P3(x12821,f13(x12824,x12822,x12823),x12823)+~P3(f13(x12824,x12822,x12823),x12821,x12823)+P3(f7(x12821,x12822,x12823),x12824,x12823)
% 1.09/1.35 [1283]~P20(x12833)+~P45(x12833)+~P4(f10(x12833),x12834,x12833)+~P4(x12831,f13(x12834,x12832,x12833),x12833)+~P4(f13(x12834,x12832,x12833),x12831,x12833)+P4(f7(x12831,x12832,x12833),x12834,x12833)
% 1.09/1.35 [1284]~P20(x12843)+~P45(x12843)+~P3(f10(x12843),x12844,x12843)+~P3(x12841,f13(x12844,x12842,x12843),x12843)+~P3(f13(x12844,x12842,x12843),x12841,x12843)+P3(f7(x12841,x12842,x12843),x12844,x12843)
% 1.09/1.35 [731]~P19(x7312)+~P20(x7312)+~P7(x7312)+~E(f7(x7313,x7311,x7312),f17(x7314,x7312))+E(x7311,f10(x7312))+E(x7313,f13(f17(x7314,x7312),x7311,x7312))
% 1.09/1.35 [732]~P19(x7322)+~P20(x7322)+~P7(x7322)+~E(f17(x7323,x7322),f7(x7324,x7321,x7322))+E(x7321,f10(x7322))+E(f13(f17(x7323,x7322),x7321,x7322),x7324)
% 1.09/1.35 [1218]~P45(x12183)+~P4(x12185,x12182,x12183)+~P4(x12181,x12184,x12183)+~P4(f10(x12183),x12181,x12183)+~P3(f10(x12183),x12185,x12183)+P4(f7(x12181,x12182,x12183),f7(x12184,x12185,x12183),x12183)
% 1.09/1.35 [1219]~P60(x12193)+~P4(x12192,x12195,x12193)+~P4(x12191,x12194,x12193)+~P4(f10(x12193),x12194,x12193)+~P4(f10(x12193),x12192,x12193)+P4(f13(x12191,x12192,x12193),f13(x12194,x12195,x12193),x12193)
% 1.09/1.36 [1220]~P60(x12203)+~P4(x12202,x12205,x12203)+~P4(x12201,x12204,x12203)+~P4(f10(x12203),x12202,x12203)+~P4(f10(x12203),x12201,x12203)+P4(f13(x12201,x12202,x12203),f13(x12204,x12205,x12203),x12203)
% 1.09/1.36 [1221]~P45(x12213)+~P4(x12215,x12212,x12213)+~P3(x12211,x12214,x12213)+~P4(f10(x12213),x12211,x12213)+~P3(f10(x12213),x12215,x12213)+P3(f7(x12211,x12212,x12213),f7(x12214,x12215,x12213),x12213)
% 1.09/1.36 [1222]~P45(x12223)+~P4(x12221,x12224,x12223)+~P3(x12225,x12222,x12223)+~P3(f10(x12223),x12225,x12223)+~P3(f10(x12223),x12221,x12223)+P3(f7(x12221,x12222,x12223),f7(x12224,x12225,x12223),x12223)
% 1.09/1.36 [1223]~P57(x12233)+~P4(x12232,x12235,x12233)+~P3(x12231,x12234,x12233)+~P4(f10(x12233),x12231,x12233)+~P3(f10(x12233),x12232,x12233)+P3(f13(x12231,x12232,x12233),f13(x12234,x12235,x12233),x12233)
% 1.09/1.36 [1224]~P57(x12243)+~P4(x12241,x12244,x12243)+~P3(x12242,x12245,x12243)+~P4(f10(x12243),x12242,x12243)+~P3(f10(x12243),x12241,x12243)+P3(f13(x12241,x12242,x12243),f13(x12244,x12245,x12243),x12243)
% 1.09/1.36 [1225]~P57(x12253)+~P3(x12252,x12255,x12253)+~P3(x12251,x12254,x12253)+~P4(f10(x12253),x12252,x12253)+~P4(f10(x12253),x12251,x12253)+P3(f13(x12251,x12252,x12253),f13(x12254,x12255,x12253),x12253)
% 1.09/1.36 [1226]~P57(x12263)+~P3(x12262,x12265,x12263)+~P3(x12261,x12264,x12263)+~P4(f10(x12263),x12262,x12263)+~P3(f10(x12263),x12264,x12263)+P3(f13(x12261,x12262,x12263),f13(x12264,x12265,x12263),x12263)
% 1.09/1.36 %EqnAxiom
% 1.09/1.36 [1]E(x11,x11)
% 1.09/1.36 [2]E(x22,x21)+~E(x21,x22)
% 1.09/1.36 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 1.09/1.36 [4]~E(x41,x42)+E(f4(x41),f4(x42))
% 1.09/1.36 [5]~E(x51,x52)+E(f9(x51),f9(x52))
% 1.09/1.36 [6]~E(x61,x62)+E(f10(x61),f10(x62))
% 1.09/1.36 [7]~E(x71,x72)+E(f12(x71,x73,x74),f12(x72,x73,x74))
% 1.09/1.36 [8]~E(x81,x82)+E(f12(x83,x81,x84),f12(x83,x82,x84))
% 1.09/1.36 [9]~E(x91,x92)+E(f12(x93,x94,x91),f12(x93,x94,x92))
% 1.09/1.36 [10]~E(x101,x102)+E(f13(x101,x103,x104),f13(x102,x103,x104))
% 1.09/1.36 [11]~E(x111,x112)+E(f13(x113,x111,x114),f13(x113,x112,x114))
% 1.09/1.36 [12]~E(x121,x122)+E(f13(x123,x124,x121),f13(x123,x124,x122))
% 1.09/1.36 [13]~E(x131,x132)+E(f11(x131,x133),f11(x132,x133))
% 1.09/1.36 [14]~E(x141,x142)+E(f11(x143,x141),f11(x143,x142))
% 1.09/1.36 [15]~E(x151,x152)+E(f7(x151,x153,x154),f7(x152,x153,x154))
% 1.09/1.36 [16]~E(x161,x162)+E(f7(x163,x161,x164),f7(x163,x162,x164))
% 1.09/1.36 [17]~E(x171,x172)+E(f7(x173,x174,x171),f7(x173,x174,x172))
% 1.09/1.36 [18]~E(x181,x182)+E(f17(x181,x183),f17(x182,x183))
% 1.09/1.36 [19]~E(x191,x192)+E(f17(x193,x191),f17(x193,x192))
% 1.09/1.36 [20]~E(x201,x202)+E(f15(x201,x203),f15(x202,x203))
% 1.09/1.36 [21]~E(x211,x212)+E(f15(x213,x211),f15(x213,x212))
% 1.09/1.36 [22]~E(x221,x222)+E(f8(x221,x223,x224),f8(x222,x223,x224))
% 1.09/1.36 [23]~E(x231,x232)+E(f8(x233,x231,x234),f8(x233,x232,x234))
% 1.09/1.36 [24]~E(x241,x242)+E(f8(x243,x244,x241),f8(x243,x244,x242))
% 1.09/1.36 [25]~E(x251,x252)+E(f16(x251,x253,x254),f16(x252,x253,x254))
% 1.09/1.36 [26]~E(x261,x262)+E(f16(x263,x261,x264),f16(x263,x262,x264))
% 1.09/1.36 [27]~E(x271,x272)+E(f16(x273,x274,x271),f16(x273,x274,x272))
% 1.09/1.36 [28]~E(x281,x282)+E(f5(x281,x283),f5(x282,x283))
% 1.09/1.36 [29]~E(x291,x292)+E(f5(x293,x291),f5(x293,x292))
% 1.09/1.36 [30]~E(x301,x302)+E(f14(x301,x303),f14(x302,x303))
% 1.09/1.36 [31]~E(x311,x312)+E(f14(x313,x311),f14(x313,x312))
% 1.09/1.36 [32]~E(x321,x322)+E(f18(x321,x323),f18(x322,x323))
% 1.09/1.36 [33]~E(x331,x332)+E(f18(x333,x331),f18(x333,x332))
% 1.09/1.36 [34]~E(x341,x342)+E(f6(x341,x343,x344),f6(x342,x343,x344))
% 1.09/1.36 [35]~E(x351,x352)+E(f6(x353,x351,x354),f6(x353,x352,x354))
% 1.09/1.36 [36]~E(x361,x362)+E(f6(x363,x364,x361),f6(x363,x364,x362))
% 1.09/1.36 [37]~E(x371,x372)+E(f19(x371),f19(x372))
% 1.09/1.36 [38]~P1(x381)+P1(x382)+~E(x381,x382)
% 1.09/1.36 [39]~P35(x391)+P35(x392)+~E(x391,x392)
% 1.09/1.36 [40]~P5(x401)+P5(x402)+~E(x401,x402)
% 1.09/1.36 [41]P4(x412,x413,x414)+~E(x411,x412)+~P4(x411,x413,x414)
% 1.09/1.36 [42]P4(x423,x422,x424)+~E(x421,x422)+~P4(x423,x421,x424)
% 1.09/1.36 [43]P4(x433,x434,x432)+~E(x431,x432)+~P4(x433,x434,x431)
% 1.09/1.36 [44]~P53(x441)+P53(x442)+~E(x441,x442)
% 1.09/1.36 [45]~P10(x451)+P10(x452)+~E(x451,x452)
% 1.09/1.36 [46]~P20(x461)+P20(x462)+~E(x461,x462)
% 1.09/1.36 [47]~P45(x471)+P45(x472)+~E(x471,x472)
% 1.09/1.36 [48]~P18(x481)+P18(x482)+~E(x481,x482)
% 1.09/1.36 [49]P3(x492,x493,x494)+~E(x491,x492)+~P3(x491,x493,x494)
% 1.09/1.36 [50]P3(x503,x502,x504)+~E(x501,x502)+~P3(x503,x501,x504)
% 1.09/1.36 [51]P3(x513,x514,x512)+~E(x511,x512)+~P3(x513,x514,x511)
% 1.09/1.36 [52]~P38(x521)+P38(x522)+~E(x521,x522)
% 1.09/1.36 [53]~P6(x531)+P6(x532)+~E(x531,x532)
% 1.09/1.36 [54]P2(x542,x543)+~E(x541,x542)+~P2(x541,x543)
% 1.09/1.36 [55]P2(x553,x552)+~E(x551,x552)+~P2(x553,x551)
% 1.09/1.36 [56]~P7(x561)+P7(x562)+~E(x561,x562)
% 1.09/1.36 [57]~P19(x571)+P19(x572)+~E(x571,x572)
% 1.09/1.36 [58]~P21(x581)+P21(x582)+~E(x581,x582)
% 1.09/1.36 [59]~P44(x591)+P44(x592)+~E(x591,x592)
% 1.09/1.36 [60]~P39(x601)+P39(x602)+~E(x601,x602)
% 1.09/1.36 [61]~P37(x611)+P37(x612)+~E(x611,x612)
% 1.09/1.36 [62]~P22(x621)+P22(x622)+~E(x621,x622)
% 1.09/1.36 [63]~P54(x631)+P54(x632)+~E(x631,x632)
% 1.09/1.36 [64]~P24(x641)+P24(x642)+~E(x641,x642)
% 1.09/1.36 [65]~P60(x651)+P60(x652)+~E(x651,x652)
% 1.09/1.36 [66]~P33(x661)+P33(x662)+~E(x661,x662)
% 1.09/1.36 [67]~P51(x671)+P51(x672)+~E(x671,x672)
% 1.09/1.36 [68]~P47(x681)+P47(x682)+~E(x681,x682)
% 1.09/1.36 [69]~P41(x691)+P41(x692)+~E(x691,x692)
% 1.09/1.36 [70]~P28(x701)+P28(x702)+~E(x701,x702)
% 1.09/1.36 [71]~P46(x711)+P46(x712)+~E(x711,x712)
% 1.09/1.36 [72]~P66(x721)+P66(x722)+~E(x721,x722)
% 1.09/1.36 [73]~P59(x731)+P59(x732)+~E(x731,x732)
% 1.09/1.36 [74]~P29(x741)+P29(x742)+~E(x741,x742)
% 1.09/1.36 [75]~P11(x751)+P11(x752)+~E(x751,x752)
% 1.09/1.36 [76]~P57(x761)+P57(x762)+~E(x761,x762)
% 1.09/1.36 [77]~P55(x771)+P55(x772)+~E(x771,x772)
% 1.09/1.36 [78]~P23(x781)+P23(x782)+~E(x781,x782)
% 1.09/1.36 [79]~P31(x791)+P31(x792)+~E(x791,x792)
% 1.09/1.36 [80]~P43(x801)+P43(x802)+~E(x801,x802)
% 1.09/1.36 [81]~P27(x811)+P27(x812)+~E(x811,x812)
% 1.09/1.36 [82]~P52(x821)+P52(x822)+~E(x821,x822)
% 1.09/1.36 [83]~P25(x831)+P25(x832)+~E(x831,x832)
% 1.09/1.36 [84]~P30(x841)+P30(x842)+~E(x841,x842)
% 1.09/1.36 [85]~P49(x851)+P49(x852)+~E(x851,x852)
% 1.09/1.36 [86]~P26(x861)+P26(x862)+~E(x861,x862)
% 1.09/1.36 [87]~P34(x871)+P34(x872)+~E(x871,x872)
% 1.09/1.36 [88]~P62(x881)+P62(x882)+~E(x881,x882)
% 1.09/1.36 [89]~P50(x891)+P50(x892)+~E(x891,x892)
% 1.09/1.36 [90]~P9(x901)+P9(x902)+~E(x901,x902)
% 1.09/1.36 [91]~P8(x911)+P8(x912)+~E(x911,x912)
% 1.09/1.36 [92]~P12(x921)+P12(x922)+~E(x921,x922)
% 1.09/1.36 [93]~P17(x931)+P17(x932)+~E(x931,x932)
% 1.09/1.36 [94]~P65(x941)+P65(x942)+~E(x941,x942)
% 1.09/1.36 [95]~P13(x951)+P13(x952)+~E(x951,x952)
% 1.09/1.36 [96]~P15(x961)+P15(x962)+~E(x961,x962)
% 1.09/1.36 [97]~P16(x971)+P16(x972)+~E(x971,x972)
% 1.09/1.36 [98]~P64(x981)+P64(x982)+~E(x981,x982)
% 1.09/1.36 [99]~P61(x991)+P61(x992)+~E(x991,x992)
% 1.09/1.36 [100]~P56(x1001)+P56(x1002)+~E(x1001,x1002)
% 1.09/1.36 [101]~P14(x1011)+P14(x1012)+~E(x1011,x1012)
% 1.09/1.36 [102]~P32(x1021)+P32(x1022)+~E(x1021,x1022)
% 1.09/1.36 [103]~P40(x1031)+P40(x1032)+~E(x1031,x1032)
% 1.09/1.36 [104]~P42(x1041)+P42(x1042)+~E(x1041,x1042)
% 1.09/1.36 [105]~P63(x1051)+P63(x1052)+~E(x1051,x1052)
% 1.09/1.36 [106]~P36(x1061)+P36(x1062)+~E(x1061,x1062)
% 1.09/1.36 [107]~P58(x1071)+P58(x1072)+~E(x1071,x1072)
% 1.09/1.36 [108]~P48(x1081)+P48(x1082)+~E(x1081,x1082)
% 1.09/1.36
% 1.09/1.36 %-------------------------------------------
% 1.09/1.36 cnf(1346,plain,
% 1.09/1.36 (~P3(f12(x13461,x13462,a1),x13462,a1)),
% 1.09/1.36 inference(rename_variables,[],[358])).
% 1.09/1.36 cnf(1349,plain,
% 1.09/1.36 (~P3(f12(x13491,x13492,a1),x13492,a1)),
% 1.09/1.36 inference(rename_variables,[],[358])).
% 1.09/1.36 cnf(1352,plain,
% 1.09/1.36 (~P3(f12(x13521,x13522,a1),x13522,a1)),
% 1.09/1.36 inference(rename_variables,[],[358])).
% 1.09/1.36 cnf(1357,plain,
% 1.09/1.36 (~E(f12(x13571,f4(a1),a1),x13571)),
% 1.09/1.36 inference(rename_variables,[],[350])).
% 1.09/1.36 cnf(1365,plain,
% 1.09/1.36 (~E(f12(x13651,f4(a1),a1),f10(a1))),
% 1.09/1.36 inference(rename_variables,[],[354])).
% 1.09/1.36 cnf(1368,plain,
% 1.09/1.36 (~E(f12(x13681,f4(a1),a1),f10(a1))),
% 1.09/1.36 inference(rename_variables,[],[354])).
% 1.09/1.36 cnf(1372,plain,
% 1.09/1.36 (~P3(x13721,x13721,a20)),
% 1.09/1.36 inference(rename_variables,[],[345])).
% 1.09/1.36 cnf(1374,plain,
% 1.09/1.36 (~P3(x13741,x13741,a20)),
% 1.09/1.36 inference(rename_variables,[],[345])).
% 1.09/1.36 cnf(1376,plain,
% 1.09/1.36 (E(f9(f15(x13761,a20)),x13761)),
% 1.09/1.36 inference(rename_variables,[],[296])).
% 1.09/1.36 cnf(1378,plain,
% 1.09/1.36 (P4(x13781,x13781,a20)),
% 1.09/1.36 inference(rename_variables,[],[297])).
% 1.09/1.36 cnf(1380,plain,
% 1.09/1.36 (P4(x13801,x13801,a20)),
% 1.09/1.36 inference(rename_variables,[],[297])).
% 1.09/1.36 cnf(1397,plain,
% 1.09/1.36 (~P3(x13971,x13971,a1)),
% 1.09/1.36 inference(rename_variables,[],[344])).
% 1.09/1.36 cnf(1402,plain,
% 1.09/1.36 (P3(x14021,f12(x14021,f4(a1),a1),a1)),
% 1.09/1.36 inference(rename_variables,[],[317])).
% 1.09/1.36 cnf(1413,plain,
% 1.09/1.36 (~P3(x14131,x14131,a20)),
% 1.09/1.36 inference(rename_variables,[],[345])).
% 1.09/1.36 cnf(1422,plain,
% 1.09/1.36 (~P3(x14221,f10(a1),a1)),
% 1.09/1.36 inference(rename_variables,[],[348])).
% 1.09/1.36 cnf(1425,plain,
% 1.09/1.36 (~P3(x14251,x14251,a20)),
% 1.09/1.36 inference(rename_variables,[],[345])).
% 1.09/1.36 cnf(1428,plain,
% 1.09/1.36 (~P3(x14281,x14281,a20)),
% 1.09/1.36 inference(rename_variables,[],[345])).
% 1.09/1.36 cnf(1431,plain,
% 1.09/1.36 (~P3(x14311,x14311,a20)),
% 1.09/1.36 inference(rename_variables,[],[345])).
% 1.09/1.36 cnf(1434,plain,
% 1.09/1.36 (~P3(x14341,x14341,a20)),
% 1.09/1.36 inference(rename_variables,[],[345])).
% 1.09/1.36 cnf(1437,plain,
% 1.09/1.36 (~P3(x14371,x14371,a20)),
% 1.09/1.36 inference(rename_variables,[],[345])).
% 1.09/1.36 cnf(1440,plain,
% 1.09/1.36 (~P3(x14401,x14401,a20)),
% 1.09/1.36 inference(rename_variables,[],[345])).
% 1.09/1.36 cnf(1455,plain,
% 1.09/1.36 (~E(f12(x14551,f4(a1),a1),x14551)),
% 1.09/1.36 inference(rename_variables,[],[350])).
% 1.09/1.36 cnf(1460,plain,
% 1.09/1.36 (~P3(x14601,x14601,a20)),
% 1.09/1.36 inference(rename_variables,[],[345])).
% 1.09/1.36 cnf(1465,plain,
% 1.09/1.36 (~P3(x14651,x14651,a20)),
% 1.09/1.36 inference(rename_variables,[],[345])).
% 1.09/1.36 cnf(1476,plain,
% 1.09/1.36 (~E(f12(x14761,f4(a1),a1),x14761)),
% 1.09/1.36 inference(rename_variables,[],[350])).
% 1.09/1.36 cnf(1485,plain,
% 1.09/1.36 (~E(f12(x14851,f4(a1),a1),x14851)),
% 1.09/1.36 inference(rename_variables,[],[350])).
% 1.09/1.36 cnf(1488,plain,
% 1.09/1.36 (P4(x14881,x14881,a20)),
% 1.09/1.36 inference(rename_variables,[],[297])).
% 1.09/1.36 cnf(1494,plain,
% 1.09/1.36 (~P3(x14941,x14941,a20)),
% 1.09/1.36 inference(rename_variables,[],[345])).
% 1.09/1.36 cnf(1497,plain,
% 1.09/1.36 (~P3(x14971,x14971,a20)),
% 1.09/1.36 inference(rename_variables,[],[345])).
% 1.09/1.36 cnf(1500,plain,
% 1.09/1.36 (~E(f12(x15001,f4(a1),a1),x15001)),
% 1.09/1.36 inference(rename_variables,[],[350])).
% 1.09/1.36 cnf(1505,plain,
% 1.09/1.36 (~P3(x15051,x15051,a20)),
% 1.09/1.36 inference(rename_variables,[],[345])).
% 1.09/1.36 cnf(1512,plain,
% 1.09/1.36 (P3(x15121,f12(x15121,f4(a1),a1),a1)),
% 1.09/1.36 inference(rename_variables,[],[317])).
% 1.09/1.36 cnf(1519,plain,
% 1.09/1.36 (~E(f12(x15191,f4(a1),a1),x15191)),
% 1.09/1.36 inference(rename_variables,[],[350])).
% 1.09/1.36 cnf(1520,plain,
% 1.09/1.36 (~P3(x15201,f10(a1),a1)),
% 1.09/1.36 inference(rename_variables,[],[348])).
% 1.09/1.36 cnf(1523,plain,
% 1.09/1.36 (~P3(x15231,f10(a1),a1)),
% 1.09/1.36 inference(rename_variables,[],[348])).
% 1.09/1.36 cnf(1540,plain,
% 1.09/1.36 (P3(x15401,f12(x15401,f4(a1),a1),a1)),
% 1.09/1.36 inference(rename_variables,[],[317])).
% 1.09/1.36 cnf(1547,plain,
% 1.09/1.36 (P3(x15471,f12(x15471,f4(a1),a1),a1)),
% 1.09/1.36 inference(rename_variables,[],[317])).
% 1.09/1.36 cnf(1550,plain,
% 1.09/1.36 (~P3(x15501,x15501,a20)),
% 1.09/1.36 inference(rename_variables,[],[345])).
% 1.09/1.36 cnf(1559,plain,
% 1.09/1.36 (~P3(x15591,x15591,a20)),
% 1.09/1.36 inference(rename_variables,[],[345])).
% 1.09/1.36 cnf(1562,plain,
% 1.09/1.36 (~P3(x15621,x15621,a20)),
% 1.09/1.36 inference(rename_variables,[],[345])).
% 1.09/1.36 cnf(1565,plain,
% 1.09/1.36 (~P3(x15651,x15651,a20)),
% 1.09/1.36 inference(rename_variables,[],[345])).
% 1.09/1.36 cnf(1570,plain,
% 1.09/1.36 (~P3(x15701,x15701,a20)),
% 1.09/1.36 inference(rename_variables,[],[345])).
% 1.09/1.36 cnf(1581,plain,
% 1.09/1.36 (P3(x15811,f12(x15811,f4(a1),a1),a1)),
% 1.09/1.36 inference(rename_variables,[],[317])).
% 1.09/1.36 cnf(1594,plain,
% 1.09/1.36 ($false),
% 1.09/1.36 inference(scs_inference,[],[314,297,1378,1380,1488,344,1397,345,1372,1374,1413,1425,1428,1431,1434,1437,1440,1460,1465,1494,1497,1505,1550,1559,1562,1565,1570,109,114,117,120,123,125,129,131,135,140,141,144,146,148,152,154,155,162,165,167,168,174,205,219,238,275,283,348,1422,1520,1523,298,300,290,340,342,341,315,289,360,339,361,358,1346,1349,1352,359,309,356,357,296,1376,317,1402,1512,1540,1547,1581,350,1357,1455,1476,1485,1500,1519,332,334,354,1365,1368,327,336,2,487,844,772,770,733,567,473,1111,913,601,480,54,50,49,45,42,41,40,3,621,619,617,555,530,527,884,762,947,830,672,847,668,667,666,376,793,728,724,886,695,693,692,691,690,502,385,384,383,382,381,890,889,888,887,885,503,437,435,922,521,520,519,1334,1332,1331,1329,1296,761,760,759,758,757,756,636,578,576,537,652,917,914,837,823,687,937,506,1175,921,1069,1068,717,716,715,714,713,712,711,394,1182,1181,1151,1150,1149,1148,1101]),
% 1.09/1.36 ['proof']).
% 1.09/1.36 % SZS output end Proof
% 1.09/1.36 % Total time :0.280000s
%------------------------------------------------------------------------------