TSTP Solution File: ALG363-1 by CSE---1.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : ALG363-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n014.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 15:59:40 EDT 2023
% Result : Unsatisfiable 0.75s 1.20s
% Output : CNFRefutation 0.95s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ALG363-1 : TPTP v8.1.2. Released v4.1.0.
% 0.12/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.12/0.34 % Computer : n014.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Aug 28 03:46:01 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.56 start to proof:theBenchmark
% 0.75/1.15 %-------------------------------------------
% 0.75/1.15 % File :CSE---1.6
% 0.75/1.15 % Problem :theBenchmark
% 0.75/1.15 % Transform :cnf
% 0.75/1.15 % Format :tptp:raw
% 0.75/1.15 % Command :java -jar mcs_scs.jar %d %s
% 0.75/1.15
% 0.75/1.15 % Result :Theorem 0.330000s
% 0.75/1.15 % Output :CNFRefutation 0.330000s
% 0.75/1.15 %-------------------------------------------
% 0.75/1.16 %------------------------------------------------------------------------------
% 0.75/1.16 % File : ALG363-1 : TPTP v8.1.2. Released v4.1.0.
% 0.75/1.16 % Domain : General Algebra
% 0.75/1.16 % Problem : Fundamental theorem of algebra 0291_17
% 0.75/1.16 % Version : Especial.
% 0.75/1.16 % English :
% 0.75/1.16
% 0.75/1.16 % Refs : [Nip10] Nipkow (2010), Email to Geoff Sutcliffe
% 0.75/1.16 % : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day
% 0.75/1.16 % Source : [Nip10]
% 0.75/1.16 % Names : Fundamental_Theorem_Algebra-0291_17 [Nip10]
% 0.75/1.16
% 0.75/1.16 % Status : Unsatisfiable
% 0.75/1.16 % Rating : 0.14 v8.1.0, 0.11 v7.5.0, 0.16 v7.4.0, 0.18 v7.3.0, 0.17 v7.1.0, 0.08 v7.0.0, 0.13 v6.4.0, 0.07 v6.3.0, 0.00 v6.2.0, 0.10 v6.1.0, 0.00 v6.0.0, 0.10 v5.5.0, 0.45 v5.3.0, 0.44 v5.1.0, 0.47 v5.0.0, 0.29 v4.1.0
% 0.75/1.16 % Syntax : Number of clauses : 698 ( 134 unt; 78 nHn; 497 RR)
% 0.75/1.16 % Number of literals : 1838 ( 365 equ;1081 neg)
% 0.75/1.16 % Maximal clause size : 6 ( 2 avg)
% 0.75/1.16 % Maximal term depth : 5 ( 1 avg)
% 0.75/1.16 % Number of predicates : 62 ( 61 usr; 0 prp; 1-3 aty)
% 0.75/1.16 % Number of functors : 20 ( 20 usr; 4 con; 0-3 aty)
% 0.75/1.16 % Number of variables : 1534 ( 39 sgn)
% 0.75/1.16 % SPC : CNF_UNS_RFO_SEQ_NHN
% 0.75/1.16
% 0.75/1.16 % Comments :
% 0.75/1.16 %------------------------------------------------------------------------------
% 0.75/1.16 cnf(cls_mult__neg__pos_0,axiom,
% 0.75/1.16 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.75/1.16 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.75/1.16 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.75/1.16 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.75/1.16
% 0.75/1.16 cnf(cls_zero__less__mult__pos2_0,axiom,
% 0.75/1.16 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.75/1.16 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.75/1.16 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.75/1.16 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_b,V_a,T_a),T_a) ) ).
% 0.75/1.16
% 0.75/1.16 cnf(cls_zero__less__mult__pos_0,axiom,
% 0.75/1.16 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.75/1.16 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.75/1.16 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.75/1.16 | ~ 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) ) ).
% 0.75/1.16
% 0.75/1.16 cnf(cls_mult__pos__pos_0,axiom,
% 0.75/1.16 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.75/1.16 | 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)
% 0.75/1.16 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.75/1.16 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.75/1.16
% 0.75/1.16 cnf(cls_mult__neg__neg_0,axiom,
% 0.75/1.16 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.75/1.16 | 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)
% 0.75/1.16 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.75/1.16 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.75/1.16
% 0.75/1.16 cnf(cls_Rational_Oordered__idom__class_Osgn__greater_1,axiom,
% 0.75/1.16 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.75/1.16 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Osgn__class_Osgn(V_a,T_a),T_a)
% 0.75/1.16 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.75/1.16
% 0.75/1.16 cnf(cls_Rational_Oordered__idom__class_Osgn__greater_0,axiom,
% 0.75/1.16 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.75/1.16 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.75/1.16 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Osgn__class_Osgn(V_a,T_a),T_a) ) ).
% 0.75/1.16
% 0.75/1.16 cnf(cls_neg__less__0__iff__less_1,axiom,
% 0.75/1.16 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.75/1.16 | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.75/1.16 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.75/1.16
% 0.75/1.16 cnf(cls_neg__less__0__iff__less_0,axiom,
% 0.75/1.16 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.75/1.16 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.75/1.16 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.75/1.16
% 0.75/1.16 cnf(cls_mult__pos__neg_0,axiom,
% 0.75/1.16 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.75/1.16 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.75/1.16 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.75/1.16 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.75/1.16
% 0.75/1.16 cnf(cls_mult__pos__neg2_0,axiom,
% 0.75/1.16 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.75/1.16 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_b,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.75/1.16 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.75/1.16 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.75/1.16
% 0.75/1.16 cnf(cls_inverse__negative__imp__negative_0,axiom,
% 0.75/1.16 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.75/1.16 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.75/1.16 | V_a = c_HOL_Ozero__class_Ozero(T_a)
% 0.75/1.16 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.75/1.16
% 0.75/1.16 cnf(cls_mult__less__cancel__left__disj_0,axiom,
% 0.75/1.16 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.75/1.16 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.75/1.16 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.75/1.16 | ~ 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) ) ).
% 0.75/1.16
% 0.75/1.16 cnf(cls_mult__less__cancel__right__disj_0,axiom,
% 0.75/1.16 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.75/1.16 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.75/1.16 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.75/1.16 | ~ 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) ) ).
% 0.75/1.16
% 0.75/1.16 cnf(cls_Rational_Oordered__idom__class_Osgn__less_0,axiom,
% 0.75/1.16 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.75/1.16 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.75/1.16 | ~ c_HOL_Oord__class_Oless(c_HOL_Osgn__class_Osgn(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.75/1.16
% 0.75/1.16 cnf(cls_Rational_Oordered__idom__class_Osgn__less_1,axiom,
% 0.75/1.16 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.75/1.16 | c_HOL_Oord__class_Oless(c_HOL_Osgn__class_Osgn(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.75/1.16 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.75/1.16
% 0.75/1.16 cnf(cls_not__square__less__zero_0,axiom,
% 0.75/1.16 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.75/1.16 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.75/1.16
% 0.75/1.16 cnf(cls_inverse__positive__imp__positive_0,axiom,
% 0.75/1.16 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.75/1.16 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.75/1.16 | V_a = c_HOL_Ozero__class_Ozero(T_a)
% 0.75/1.16 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) ) ).
% 0.75/1.16
% 0.75/1.16 cnf(cls_inverse__less__imp__less_0,axiom,
% 0.75/1.16 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.75/1.16 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.75/1.16 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.75/1.16 | ~ 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) ) ).
% 0.75/1.16
% 0.75/1.16 cnf(cls_less__imp__inverse__less_0,axiom,
% 0.75/1.16 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.75/1.16 | 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)
% 0.75/1.16 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.75/1.16 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.75/1.16
% 0.75/1.16 cnf(cls_inverse__less__imp__less__neg_0,axiom,
% 0.75/1.16 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.75/1.16 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.75/1.16 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.75/1.16 | ~ 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) ) ).
% 0.75/1.16
% 0.75/1.16 cnf(cls_less__imp__inverse__less__neg_0,axiom,
% 0.75/1.16 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.75/1.16 | 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)
% 0.75/1.16 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.75/1.16 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.75/1.16
% 0.75/1.16 cnf(cls_inverse__negative__iff__negative_0,axiom,
% 0.75/1.16 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.75/1.16 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.75/1.16 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.75/1.16 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.75/1.16
% 0.75/1.16 cnf(cls_inverse__negative__iff__negative_1,axiom,
% 0.75/1.16 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.75/1.16 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.75/1.16 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.75/1.16 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.75/1.16
% 0.75/1.16 cnf(cls_negative__imp__inverse__negative_0,axiom,
% 0.75/1.16 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.75/1.16 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.75/1.16 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.75/1.16
% 0.75/1.16 cnf(cls_mult__less__cancel__left__disj_1,axiom,
% 0.75/1.16 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.75/1.16 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.75/1.16 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.75/1.16 | ~ 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) ) ).
% 0.75/1.16
% 0.75/1.16 cnf(cls_mult__less__cancel__left__disj_2,axiom,
% 0.75/1.16 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.75/1.16 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.75/1.16 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.75/1.16 | ~ 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) ) ).
% 0.75/1.16
% 0.75/1.16 cnf(cls_mult__less__cancel__right__disj_1,axiom,
% 0.75/1.16 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.75/1.16 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.75/1.16 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.75/1.16 | ~ 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) ) ).
% 0.75/1.16
% 0.75/1.16 cnf(cls_mult__less__cancel__right__disj_2,axiom,
% 0.75/1.16 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.75/1.16 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.75/1.16 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.75/1.16 | ~ 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) ) ).
% 0.75/1.16
% 0.75/1.16 cnf(cls_neg__0__less__iff__less_0,axiom,
% 0.75/1.16 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.75/1.16 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.75/1.16 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 0.75/1.16
% 0.75/1.16 cnf(cls_neg__0__less__iff__less_1,axiom,
% 0.75/1.16 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.75/1.16 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
% 0.75/1.16 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.75/1.16
% 0.75/1.16 cnf(cls_less__minus__self__iff_0,axiom,
% 0.75/1.16 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.75/1.16 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.75/1.16 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 0.75/1.16
% 0.75/1.16 cnf(cls_less__minus__self__iff_1,axiom,
% 0.75/1.16 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.75/1.16 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
% 0.75/1.17 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.75/1.17
% 0.75/1.17 cnf(cls_inverse__nonpositive__iff__nonpositive_0,axiom,
% 0.75/1.17 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.75/1.17 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.75/1.17 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.75/1.17 | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.75/1.17
% 0.75/1.17 cnf(cls_inverse__nonpositive__iff__nonpositive_1,axiom,
% 0.75/1.17 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.75/1.17 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.75/1.17 | c_lessequals(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.75/1.17 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.75/1.17
% 0.75/1.17 cnf(cls_neg__le__0__iff__le_0,axiom,
% 0.75/1.17 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.75/1.17 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.75/1.17 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.75/1.17
% 0.75/1.17 cnf(cls_neg__le__0__iff__le_1,axiom,
% 0.75/1.17 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.75/1.17 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.75/1.17 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.75/1.17
% 0.75/1.17 cnf(cls_mult__le__0__iff_0,axiom,
% 0.75/1.17 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.75/1.17 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.75/1.17 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.75/1.17 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.75/1.17
% 0.75/1.17 cnf(cls_mult__le__0__iff_1,axiom,
% 0.75/1.17 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.75/1.17 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.75/1.17 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.75/1.17 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.75/1.17
% 0.75/1.17 cnf(cls_mult__le__0__iff_2,axiom,
% 0.75/1.17 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.75/1.17 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.75/1.17 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.75/1.17 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.75/1.17
% 0.75/1.17 cnf(cls_mult__le__0__iff_3,axiom,
% 0.75/1.17 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.75/1.17 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.75/1.17 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.75/1.17 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.75/1.17
% 0.75/1.17 cnf(cls_mult__mono1_0,axiom,
% 0.75/1.17 ( ~ class_Ring__and__Field_Omult__mono1(T_a)
% 0.75/1.17 | 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)
% 0.75/1.17 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.75/1.17 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.75/1.17
% 0.75/1.17 cnf(cls_mult__left__mono_0,axiom,
% 0.75/1.17 ( ~ class_Ring__and__Field_Omult__mono(T_a)
% 0.75/1.17 | 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)
% 0.75/1.17 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.75/1.17 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.75/1.17
% 0.75/1.17 cnf(cls_mult__right__mono_0,axiom,
% 0.75/1.17 ( ~ class_Ring__and__Field_Omult__mono(T_a)
% 0.75/1.17 | 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)
% 0.75/1.17 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.75/1.17 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.75/1.17
% 0.75/1.17 cnf(cls_mult__left__mono__neg_0,axiom,
% 0.75/1.17 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 0.75/1.17 | 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)
% 0.75/1.17 | ~ c_lessequals(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.75/1.17 | ~ c_lessequals(V_b,V_a,T_a) ) ).
% 0.75/1.17
% 0.75/1.17 cnf(cls_mult__right__mono__neg_0,axiom,
% 0.75/1.17 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 0.75/1.17 | 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)
% 0.75/1.17 | ~ c_lessequals(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.75/1.17 | ~ c_lessequals(V_b,V_a,T_a) ) ).
% 0.75/1.17
% 0.75/1.17 cnf(cls_split__mult__pos__le_0,axiom,
% 0.75/1.17 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 0.75/1.17 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 0.75/1.17 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.75/1.17 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.75/1.17
% 0.75/1.17 cnf(cls_split__mult__pos__le_1,axiom,
% 0.75/1.17 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 0.75/1.17 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 0.75/1.17 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.75/1.17 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.75/1.17
% 0.75/1.17 cnf(cls_mult__nonpos__nonpos_0,axiom,
% 0.75/1.17 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 0.75/1.17 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 0.75/1.17 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.75/1.17 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.75/1.17
% 0.75/1.17 cnf(cls_zero__le__square_0,axiom,
% 0.75/1.17 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.75/1.17 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_a,T_a),T_a) ) ).
% 0.75/1.17
% 0.75/1.17 cnf(cls_zero__le__mult__iff_4,axiom,
% 0.75/1.17 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.75/1.17 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 0.75/1.17 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.75/1.17 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.75/1.17
% 0.75/1.17 cnf(cls_zero__le__mult__iff_5,axiom,
% 0.75/1.17 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.75/1.17 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 0.75/1.17 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.75/1.17 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.75/1.17
% 0.75/1.17 cnf(cls_mult__nonneg__nonneg_0,axiom,
% 0.75/1.17 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 0.75/1.17 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 0.75/1.17 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.75/1.17 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.75/1.17
% 0.75/1.17 cnf(cls_zero__le__mult__iff_0,axiom,
% 0.75/1.17 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.75/1.17 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.75/1.17 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.75/1.17 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ).
% 0.75/1.17
% 0.75/1.17 cnf(cls_zero__le__mult__iff_1,axiom,
% 0.75/1.17 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.75/1.17 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.75/1.17 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.75/1.17 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ).
% 0.75/1.17
% 0.75/1.17 cnf(cls_zero__le__mult__iff_2,axiom,
% 0.75/1.17 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.75/1.17 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.75/1.17 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.75/1.17 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ).
% 0.75/1.17
% 0.75/1.17 cnf(cls_zero__le__mult__iff_3,axiom,
% 0.75/1.17 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.75/1.17 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.75/1.17 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.75/1.17 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ).
% 0.75/1.17
% 0.75/1.17 cnf(cls_mult__mono_0,axiom,
% 0.75/1.17 ( ~ class_Ring__and__Field_Opordered__semiring(T_a)
% 0.75/1.17 | 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)
% 0.75/1.17 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.75/1.17 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.75/1.17 | ~ c_lessequals(V_c,V_d,T_a)
% 0.75/1.17 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.75/1.17
% 0.75/1.17 cnf(cls_mult__mono_H_0,axiom,
% 0.75/1.17 ( ~ class_Ring__and__Field_Opordered__semiring(T_a)
% 0.75/1.17 | 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)
% 0.75/1.17 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.75/1.17 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.75/1.17 | ~ c_lessequals(V_c,V_d,T_a)
% 0.75/1.17 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.75/1.17
% 0.75/1.17 cnf(cls_mult__le__0__iff_4,axiom,
% 0.75/1.17 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.75/1.17 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.75/1.17 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.75/1.17 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.75/1.17
% 0.75/1.17 cnf(cls_mult__le__0__iff_5,axiom,
% 0.75/1.17 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.75/1.17 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.75/1.17 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.75/1.17 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.75/1.17
% 0.75/1.17 cnf(cls_split__mult__neg__le_0,axiom,
% 0.75/1.17 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 0.75/1.17 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.75/1.17 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.75/1.17 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.75/1.17
% 0.75/1.17 cnf(cls_split__mult__neg__le_1,axiom,
% 0.75/1.17 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 0.75/1.17 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.75/1.17 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.75/1.17 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.75/1.17
% 0.75/1.17 cnf(cls_mult__nonneg__nonpos_0,axiom,
% 0.75/1.17 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 0.75/1.17 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.75/1.17 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.75/1.17 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.75/1.17
% 0.75/1.17 cnf(cls_mult__nonpos__nonneg_0,axiom,
% 0.75/1.17 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 0.75/1.17 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.75/1.17 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.75/1.17 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.75/1.17
% 0.75/1.17 cnf(cls_mult__nonneg__nonpos2_0,axiom,
% 0.75/1.17 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 0.75/1.17 | c_lessequals(c_HOL_Otimes__class_Otimes(V_b,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.75/1.17 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.75/1.17 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.75/1.17
% 0.75/1.17 cnf(cls_neg__0__le__iff__le_0,axiom,
% 0.75/1.17 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.75/1.17 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.75/1.17 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 0.75/1.17
% 0.75/1.17 cnf(cls_neg__0__le__iff__le_1,axiom,
% 0.75/1.17 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.75/1.17 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
% 0.75/1.17 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.75/1.17
% 0.75/1.17 cnf(cls_inverse__nonnegative__iff__nonnegative_0,axiom,
% 0.75/1.17 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.75/1.17 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.75/1.17 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.75/1.17 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) ) ).
% 0.75/1.17
% 0.75/1.17 cnf(cls_inverse__nonnegative__iff__nonnegative_1,axiom,
% 0.75/1.17 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.75/1.17 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.75/1.17 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a)
% 0.75/1.17 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.75/1.17
% 0.75/1.17 cnf(cls_le__minus__self__iff_0,axiom,
% 0.75/1.17 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.75/1.17 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.75/1.17 | ~ c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 0.75/1.17
% 0.75/1.17 cnf(cls_le__minus__self__iff_1,axiom,
% 0.75/1.17 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.75/1.17 | c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
% 0.75/1.17 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.75/1.17
% 0.75/1.17 cnf(cls_minus__le__self__iff_0,axiom,
% 0.75/1.17 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.75/1.17 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.75/1.17 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_a,T_a) ) ).
% 0.75/1.17
% 0.75/1.17 cnf(cls_minus__le__self__iff_1,axiom,
% 0.75/1.17 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.75/1.17 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_a,T_a)
% 0.75/1.17 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.75/1.17
% 0.75/1.17 cnf(cls_less__eq__neg__nonpos_0,axiom,
% 0.75/1.17 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a)
% 0.75/1.17 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.75/1.17 | ~ c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 0.75/1.17
% 0.75/1.17 cnf(cls_less__eq__neg__nonpos_1,axiom,
% 0.75/1.17 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a)
% 0.75/1.17 | c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
% 0.75/1.17 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.75/1.17
% 0.75/1.17 cnf(cls_neg__less__eq__nonneg_0,axiom,
% 0.75/1.17 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a)
% 0.75/1.17 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.75/1.17 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_a,T_a) ) ).
% 0.75/1.17
% 0.75/1.17 cnf(cls_neg__less__eq__nonneg_1,axiom,
% 0.75/1.17 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a)
% 0.75/1.17 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_a,T_a)
% 0.75/1.17 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.75/1.17
% 0.75/1.17 cnf(cls_left__minus_0,axiom,
% 0.75/1.17 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.75/1.17 | 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) ) ).
% 0.75/1.17
% 0.75/1.17 cnf(cls_right__minus_0,axiom,
% 0.75/1.17 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.75/1.17 | 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) ) ).
% 0.75/1.17
% 0.75/1.17 cnf(cls_ab__left__minus_0,axiom,
% 0.75/1.17 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.75/1.17 | 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) ) ).
% 0.75/1.17
% 0.75/1.17 cnf(cls_eq__neg__iff__add__eq__0_0,axiom,
% 0.75/1.17 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.75/1.17 | 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) ) ).
% 0.75/1.17
% 0.75/1.17 cnf(cls_class__ringb_Oadd__scale__eq__noteq_0,axiom,
% 0.75/1.17 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.75/1.17 | ~ class_Int_Onumber__ring(T_a)
% 0.75/1.17 | c_HOL_Oplus__class_Oplus(V_x,c_HOL_Otimes__class_Otimes(V_r,V_c,T_a),T_a) != c_HOL_Oplus__class_Oplus(V_x,c_HOL_Otimes__class_Otimes(V_r,V_d,T_a),T_a)
% 0.75/1.17 | V_c = V_d
% 0.75/1.17 | V_r = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.75/1.17
% 0.75/1.17 cnf(cls_sum__squares__eq__zero__iff_0,axiom,
% 0.75/1.17 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.75/1.17 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,T_a),c_HOL_Otimes__class_Otimes(V_y,V_y,T_a),T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.75/1.17 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.75/1.17
% 0.75/1.17 cnf(cls_sum__squares__eq__zero__iff_1,axiom,
% 0.75/1.17 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.75/1.17 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,T_a),c_HOL_Otimes__class_Otimes(V_y,V_y,T_a),T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.75/1.17 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.75/1.17
% 0.75/1.17 cnf(cls_minus__unique_0,axiom,
% 0.75/1.17 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.75/1.17 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.75/1.17 | c_HOL_Ouminus__class_Ouminus(V_a,T_a) = V_b ) ).
% 0.75/1.17
% 0.75/1.17 cnf(cls_eq__neg__iff__add__eq__0_1,axiom,
% 0.75/1.17 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.75/1.17 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.75/1.17 | V_a = c_HOL_Ouminus__class_Ouminus(V_b,T_a) ) ).
% 0.75/1.17
% 0.75/1.17 cnf(cls_sum__squares__eq__zero__iff_2,axiom,
% 0.75/1.17 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.75/1.17 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.75/1.17
% 0.75/1.17 cnf(cls_exp__zero_0,axiom,
% 0.75/1.17 ( ~ class_SEQ_Obanach(T_a)
% 0.75/1.17 | ~ class_RealVector_Oreal__normed__field(T_a)
% 0.75/1.17 | c_Transcendental_Oexp(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Oone__class_Oone(T_a) ) ).
% 0.75/1.17
% 0.75/1.17 cnf(cls_less__1__mult_0,axiom,
% 0.75/1.17 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.75/1.17 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),c_HOL_Otimes__class_Otimes(V_m,V_n,T_a),T_a)
% 0.75/1.17 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_n,T_a)
% 0.75/1.17 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_m,T_a) ) ).
% 0.75/1.17
% 0.75/1.17 cnf(cls_one__less__inverse__iff_1,axiom,
% 0.75/1.17 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.75/1.17 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.75/1.17 | c_HOL_Oord__class_Oless(V_x,c_HOL_Oone__class_Oone(T_a),T_a)
% 0.75/1.17 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),c_HOL_Oinverse__class_Oinverse(V_x,T_a),T_a) ) ).
% 0.75/1.17
% 0.75/1.17 cnf(cls_inverse__less__1__iff_2,axiom,
% 0.75/1.17 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.75/1.18 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.75/1.18 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_x,T_a),c_HOL_Oone__class_Oone(T_a),T_a)
% 0.75/1.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_x,T_a) ) ).
% 0.75/1.18
% 0.75/1.18 cnf(cls_inverse__le__1__iff_2,axiom,
% 0.75/1.18 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.75/1.18 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.75/1.18 | c_lessequals(c_HOL_Oinverse__class_Oinverse(V_x,T_a),c_HOL_Oone__class_Oone(T_a),T_a)
% 0.75/1.18 | ~ c_lessequals(c_HOL_Oone__class_Oone(T_a),V_x,T_a) ) ).
% 0.75/1.18
% 0.75/1.18 cnf(cls_one__le__inverse__iff_1,axiom,
% 0.75/1.18 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.75/1.18 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.75/1.18 | c_lessequals(V_x,c_HOL_Oone__class_Oone(T_a),T_a)
% 0.75/1.18 | ~ c_lessequals(c_HOL_Oone__class_Oone(T_a),c_HOL_Oinverse__class_Oinverse(V_x,T_a),T_a) ) ).
% 0.75/1.18
% 0.75/1.18 cnf(cls_norm__eq__zero_0,axiom,
% 0.75/1.18 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 0.75/1.18 | c_RealVector_Onorm__class_Onorm(V_x,T_a) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 0.75/1.18 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.75/1.18
% 0.75/1.18 cnf(cls_norm__zero_0,axiom,
% 0.75/1.18 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 0.75/1.18 | c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ).
% 0.75/1.18
% 0.75/1.18 cnf(cls_class__semiring_Osemiring__rules_I4_J_0,axiom,
% 0.75/1.18 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.75/1.18 | c_HOL_Oplus__class_Oplus(V_m,V_m,T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(T_a),c_HOL_Oone__class_Oone(T_a),T_a),V_m,T_a) ) ).
% 0.75/1.18
% 0.75/1.18 cnf(cls_class__semiring_Osemiring__rules_I2_J_0,axiom,
% 0.75/1.18 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.75/1.18 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_m,T_a),V_m,T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oone__class_Oone(T_a),T_a),V_m,T_a) ) ).
% 0.75/1.18
% 0.75/1.18 cnf(cls_class__semiring_Osemiring__rules_I3_J_0,axiom,
% 0.75/1.18 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.75/1.18 | c_HOL_Oplus__class_Oplus(V_m,c_HOL_Otimes__class_Otimes(V_a,V_m,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oone__class_Oone(T_a),T_a),V_m,T_a) ) ).
% 0.75/1.18
% 0.75/1.18 cnf(cls_nonzero__abs__inverse_0,axiom,
% 0.75/1.18 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.75/1.18 | c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) = c_HOL_Oinverse__class_Oinverse(c_HOL_Oabs__class_Oabs(V_a,T_a),T_a)
% 0.75/1.18 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.75/1.18
% 0.75/1.18 cnf(cls_abs__mult__less_0,axiom,
% 0.75/1.18 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.75/1.18 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a),c_HOL_Otimes__class_Otimes(V_c,V_d,T_a),T_a)
% 0.75/1.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(V_b,T_a),V_d,T_a)
% 0.75/1.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(V_a,T_a),V_c,T_a) ) ).
% 0.75/1.18
% 0.75/1.18 cnf(cls_abs__less__iff_1,axiom,
% 0.75/1.18 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.75/1.18 | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a)
% 0.75/1.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a) ) ).
% 0.75/1.18
% 0.75/1.18 cnf(cls_abs__less__iff_2,axiom,
% 0.75/1.18 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.75/1.18 | c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a)
% 0.75/1.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a)
% 0.75/1.18 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.75/1.18
% 0.75/1.18 cnf(cls_abs__le__mult_0,axiom,
% 0.75/1.18 ( ~ class_Ring__and__Field_Olordered__ring(T_a)
% 0.75/1.18 | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a),c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a),T_a) ) ).
% 0.75/1.18
% 0.75/1.18 cnf(cls_abs__le__D2_0,axiom,
% 0.75/1.18 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.75/1.18 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a)
% 0.75/1.18 | ~ c_lessequals(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a) ) ).
% 0.75/1.18
% 0.75/1.18 cnf(cls_abs__leI_0,axiom,
% 0.75/1.18 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.75/1.18 | c_lessequals(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a)
% 0.75/1.18 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a)
% 0.75/1.18 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.75/1.18
% 0.75/1.18 cnf(cls_abs__le__iff_2,axiom,
% 0.75/1.18 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.75/1.18 | c_lessequals(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a)
% 0.75/1.18 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a)
% 0.75/1.18 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.75/1.18
% 0.75/1.18 cnf(cls_abs__ge__minus__self_0,axiom,
% 0.75/1.18 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.75/1.18 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Oabs__class_Oabs(V_a,T_a),T_a) ) ).
% 0.75/1.18
% 0.75/1.18 cnf(cls_not__exp__le__zero_0,axiom,
% 0.75/1.18 ~ c_lessequals(c_Transcendental_Oexp(V_x,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ).
% 0.75/1.18
% 0.75/1.18 cnf(cls_positive__imp__inverse__positive_0,axiom,
% 0.75/1.18 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.75/1.18 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a)
% 0.75/1.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.75/1.18
% 0.75/1.18 cnf(cls_inverse__positive__iff__positive_1,axiom,
% 0.75/1.18 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.75/1.18 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.75/1.18 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a)
% 0.75/1.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.75/1.18
% 0.75/1.18 cnf(cls_inverse__positive__iff__positive_0,axiom,
% 0.75/1.18 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.75/1.18 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.75/1.18 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.75/1.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) ) ).
% 0.75/1.18
% 0.75/1.18 cnf(cls_mult__strict__left__mono__comm_0,axiom,
% 0.75/1.18 ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(T_a)
% 0.75/1.18 | 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)
% 0.75/1.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.75/1.18 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.75/1.18
% 0.75/1.18 cnf(cls_mult__less__cancel__right__disj_5,axiom,
% 0.75/1.18 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.75/1.18 | 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)
% 0.75/1.18 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.75/1.18 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.75/1.18
% 0.75/1.18 cnf(cls_mult__less__cancel__right__disj_4,axiom,
% 0.75/1.18 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.75/1.18 | 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)
% 0.75/1.18 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.75/1.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.75/1.18
% 0.75/1.18 cnf(cls_mult__strict__right__mono_0,axiom,
% 0.75/1.18 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.75/1.18 | 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)
% 0.75/1.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.75/1.18 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.75/1.18
% 0.75/1.18 cnf(cls_mult__strict__right__mono__neg_0,axiom,
% 0.75/1.18 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.75/1.18 | 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)
% 0.75/1.18 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.75/1.18 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ).
% 0.75/1.18
% 0.75/1.18 cnf(cls_mult__less__cancel__left__disj_5,axiom,
% 0.75/1.18 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.75/1.18 | 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)
% 0.75/1.18 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.75/1.18 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.75/1.18
% 0.75/1.18 cnf(cls_mult__less__cancel__left__disj_4,axiom,
% 0.75/1.18 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.75/1.18 | 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)
% 0.75/1.18 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.75/1.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.75/1.18
% 0.75/1.18 cnf(cls_mult__strict__left__mono_0,axiom,
% 0.75/1.18 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.75/1.18 | 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)
% 0.75/1.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.75/1.18 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.75/1.18
% 0.75/1.18 cnf(cls_mult__strict__left__mono__neg_0,axiom,
% 0.75/1.18 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.75/1.18 | 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)
% 0.75/1.18 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.75/1.18 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ).
% 0.75/1.18
% 0.75/1.18 cnf(cls_mult__less__cancel__left__pos_1,axiom,
% 0.75/1.18 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.75/1.18 | 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)
% 0.75/1.18 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.75/1.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.75/1.18
% 0.75/1.18 cnf(cls_mult__less__cancel__left__pos_0,axiom,
% 0.75/1.18 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.75/1.18 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.75/1.18 | ~ 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)
% 0.75/1.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.75/1.18
% 0.75/1.18 cnf(cls_mult__less__cancel__left__neg_1,axiom,
% 0.75/1.18 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.75/1.18 | 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)
% 0.75/1.18 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.75/1.18 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.75/1.18
% 0.75/1.18 cnf(cls_mult__less__cancel__left__neg_0,axiom,
% 0.75/1.18 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.75/1.18 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.75/1.18 | ~ 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)
% 0.75/1.18 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.75/1.18
% 0.75/1.18 cnf(cls_sin__zero__abs__cos__one_0,axiom,
% 0.75/1.18 ( c_Transcendental_Osin(V_x) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 0.75/1.18 | c_HOL_Oabs__class_Oabs(c_Transcendental_Ocos(V_x),tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ) ).
% 0.75/1.18
% 0.75/1.18 cnf(cls_ln__mult_0,axiom,
% 0.75/1.18 ( 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)
% 0.75/1.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_y,tc_RealDef_Oreal)
% 0.75/1.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ).
% 0.75/1.18
% 0.75/1.18 cnf(cls_real__sgn__def_2,axiom,
% 0.75/1.18 ( c_HOL_Osgn__class_Osgn(V_x,tc_RealDef_Oreal) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 0.75/1.18 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal)
% 0.75/1.18 | V_x = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ).
% 0.75/1.18
% 0.75/1.18 cnf(cls_norm__ratiotest__lemma_0,axiom,
% 0.75/1.18 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 0.75/1.18 | V_x = c_HOL_Ozero__class_Ozero(T_a)
% 0.75/1.18 | ~ 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)
% 0.75/1.18 | ~ c_lessequals(V_c,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 0.75/1.18
% 0.75/1.18 cnf(cls_sgn__times_0,axiom,
% 0.75/1.18 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.75/1.18 | 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) ) ).
% 0.75/1.18
% 0.75/1.18 cnf(cls_sgn__mult_0,axiom,
% 0.75/1.18 ( ~ class_RealVector_Oreal__normed__div__algebra(T_a)
% 0.75/1.18 | 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) ) ).
% 0.75/1.18
% 0.75/1.18 cnf(cls_real__mult__is__one_2,axiom,
% 0.75/1.18 c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ).
% 0.75/1.18
% 0.75/1.18 cnf(cls_exp__minus_0,axiom,
% 0.75/1.18 ( ~ class_SEQ_Obanach(T_a)
% 0.75/1.18 | ~ class_RealVector_Oreal__normed__field(T_a)
% 0.75/1.18 | 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) ) ).
% 0.75/1.18
% 0.75/1.18 cnf(cls_minus__mult__commute_0,axiom,
% 0.75/1.18 ( ~ class_Ring__and__Field_Oring(T_a)
% 0.75/1.18 | 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) ) ).
% 0.75/1.18
% 0.75/1.18 cnf(cls_cos__minus_0,axiom,
% 0.75/1.18 c_Transcendental_Ocos(c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal)) = c_Transcendental_Ocos(V_x) ).
% 0.75/1.18
% 0.75/1.18 cnf(cls_nonzero__inverse__minus__eq_0,axiom,
% 0.75/1.18 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 0.75/1.18 | 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)
% 0.75/1.18 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.75/1.18
% 0.75/1.18 cnf(cls_norm__mult_0,axiom,
% 0.75/1.18 ( ~ class_RealVector_Oreal__normed__div__algebra(T_a)
% 0.75/1.18 | 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) ) ).
% 0.75/1.18
% 0.75/1.18 cnf(cls_norm__minus__cancel_0,axiom,
% 0.75/1.18 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 0.75/1.18 | 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) ) ).
% 0.75/1.18
% 0.75/1.18 cnf(cls_complex__mod__minus__le__complex__mod_0,axiom,
% 0.75/1.18 c_lessequals(c_HOL_Ouminus__class_Ouminus(c_RealVector_Onorm__class_Onorm(V_x,tc_Complex_Ocomplex),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(V_x,tc_Complex_Ocomplex),tc_RealDef_Oreal) ).
% 0.75/1.18
% 0.75/1.18 cnf(cls_mult__exp__exp_0,axiom,
% 0.75/1.18 ( ~ class_SEQ_Obanach(T_a)
% 0.75/1.18 | ~ class_RealVector_Oreal__normed__field(T_a)
% 0.75/1.18 | 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) ) ).
% 0.75/1.18
% 0.75/1.18 cnf(cls_nonzero__norm__inverse_0,axiom,
% 0.75/1.18 ( ~ class_RealVector_Oreal__normed__div__algebra(T_a)
% 0.75/1.18 | 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)
% 0.75/1.18 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.75/1.18
% 0.75/1.18 cnf(cls_ln__exp_0,axiom,
% 0.75/1.18 c_Transcendental_Oln(c_Transcendental_Oexp(V_x,tc_RealDef_Oreal)) = V_x ).
% 0.75/1.18
% 0.75/1.18 cnf(cls_exp__ln__eq_0,axiom,
% 0.75/1.18 c_Transcendental_Oln(c_Transcendental_Oexp(V_u,tc_RealDef_Oreal)) = V_u ).
% 0.75/1.18
% 0.75/1.18 cnf(cls_ln__unique_0,axiom,
% 0.75/1.18 c_Transcendental_Oln(c_Transcendental_Oexp(V_y,tc_RealDef_Oreal)) = V_y ).
% 0.75/1.18
% 0.75/1.18 cnf(cls_nonzero__inverse__mult__distrib_0,axiom,
% 0.75/1.18 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 0.75/1.18 | 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)
% 0.75/1.18 | V_b = c_HOL_Ozero__class_Ozero(T_a)
% 0.75/1.18 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.75/1.18
% 0.75/1.18 cnf(cls_inverse__mult__distrib_0,axiom,
% 0.75/1.18 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.75/1.18 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.75/1.18 | 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) ) ).
% 0.75/1.18
% 0.75/1.18 cnf(cls_sin__minus_0,axiom,
% 0.75/1.18 c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(V_x),tc_RealDef_Oreal) ).
% 0.75/1.18
% 0.75/1.18 cnf(cls_real__sum__squares__cancel__a_1,axiom,
% 0.75/1.18 ( c_HOL_Otimes__class_Otimes(V_x,V_x,tc_RealDef_Oreal) != c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(V_y,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 0.75/1.18 | V_y = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ).
% 0.75/1.18
% 0.75/1.18 cnf(cls_real__sum__squares__cancel__a_0,axiom,
% 0.75/1.18 ( c_HOL_Otimes__class_Otimes(V_x,V_x,tc_RealDef_Oreal) != c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(V_y,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 0.75/1.18 | V_x = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ).
% 0.75/1.18
% 0.75/1.18 cnf(cls_abs__sgn_0,axiom,
% 0.75/1.18 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.75/1.18 | c_HOL_Oabs__class_Oabs(V_k,T_a) = c_HOL_Otimes__class_Otimes(V_k,c_HOL_Osgn__class_Osgn(V_k,T_a),T_a) ) ).
% 0.75/1.18
% 0.75/1.18 cnf(cls_sgn__sgn_0,axiom,
% 0.75/1.18 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.75/1.18 | 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) ) ).
% 0.75/1.18
% 0.75/1.18 cnf(cls_minus__mult__minus_0,axiom,
% 0.75/1.18 ( ~ class_Ring__and__Field_Oring(T_a)
% 0.75/1.18 | 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) ) ).
% 0.75/1.18
% 0.75/1.18 cnf(cls_square__eq__iff_1,axiom,
% 0.75/1.18 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.75/1.18 | 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) ) ).
% 0.75/1.18
% 0.75/1.18 cnf(cls_mult__right_Ominus_0,axiom,
% 0.75/1.18 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 0.75/1.18 | 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) ) ).
% 0.75/1.18
% 0.75/1.18 cnf(cls_mult_Ominus__right_0,axiom,
% 0.75/1.18 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 0.75/1.18 | 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) ) ).
% 0.75/1.18
% 0.75/1.18 cnf(cls_mult__left_Ominus_0,axiom,
% 0.75/1.18 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 0.75/1.18 | 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) ) ).
% 0.75/1.18
% 0.75/1.18 cnf(cls_mult_Ominus__left_0,axiom,
% 0.75/1.18 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 0.75/1.18 | 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) ) ).
% 0.75/1.18
% 0.75/1.18 cnf(cls_class__semiring_Omul__a_0,axiom,
% 0.75/1.18 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.75/1.18 | c_HOL_Otimes__class_Otimes(V_x,c_HOL_Otimes__class_Otimes(V_y,V_z,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),V_z,T_a) ) ).
% 0.75/1.18
% 0.75/1.18 cnf(cls_real__mult__assoc_0,axiom,
% 0.75/1.18 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) ).
% 0.75/1.18
% 0.75/1.18 cnf(cls_class__semiring_Osemiring__rules_I19_J_0,axiom,
% 0.75/1.18 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.75/1.18 | c_HOL_Otimes__class_Otimes(V_lx,c_HOL_Otimes__class_Otimes(V_rx,V_ry,T_a),T_a) = c_HOL_Otimes__class_Otimes(V_rx,c_HOL_Otimes__class_Otimes(V_lx,V_ry,T_a),T_a) ) ).
% 0.75/1.18
% 0.75/1.18 cnf(cls_class__semiring_Osemiring__rules_I18_J_0,axiom,
% 0.75/1.18 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.75/1.18 | c_HOL_Otimes__class_Otimes(V_lx,c_HOL_Otimes__class_Otimes(V_rx,V_ry,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_rx,T_a),V_ry,T_a) ) ).
% 0.75/1.18
% 0.75/1.18 cnf(cls_class__semiring_Osemiring__rules_I17_J_0,axiom,
% 0.75/1.18 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.75/1.18 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_ly,T_a),V_rx,T_a) = c_HOL_Otimes__class_Otimes(V_lx,c_HOL_Otimes__class_Otimes(V_ly,V_rx,T_a),T_a) ) ).
% 0.75/1.18
% 0.75/1.18 cnf(cls_class__semiring_Osemiring__rules_I16_J_0,axiom,
% 0.75/1.18 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.75/1.18 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_ly,T_a),V_rx,T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_rx,T_a),V_ly,T_a) ) ).
% 0.75/1.18
% 0.75/1.18 cnf(cls_ab__semigroup__mult__class_Omult__ac_I1_J_0,axiom,
% 0.75/1.18 ( ~ class_OrderedGroup_Oab__semigroup__mult(T_a)
% 0.75/1.18 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_c,T_a) = c_HOL_Otimes__class_Otimes(V_a,c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ).
% 0.75/1.18
% 0.75/1.18 cnf(cls_class__ring_Oneg__mul_0,axiom,
% 0.75/1.18 ( ~ class_Int_Onumber__ring(T_a)
% 0.75/1.18 | 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) ) ).
% 0.75/1.18
% 0.75/1.18 cnf(cls_norm__mult__less_0,axiom,
% 0.75/1.18 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 0.75/1.18 | 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)
% 0.75/1.18 | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(V_y,T_a),V_s,tc_RealDef_Oreal)
% 0.75/1.18 | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(V_x,T_a),V_r,tc_RealDef_Oreal) ) ).
% 0.75/1.18
% 0.75/1.18 cnf(cls_inverse__minus__eq_0,axiom,
% 0.75/1.18 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 0.75/1.18 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.75/1.18 | 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) ) ).
% 0.75/1.18
% 0.75/1.18 cnf(cls_inverse__eq__iff__eq_0,axiom,
% 0.75/1.18 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 0.75/1.18 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.75/1.18 | c_HOL_Oinverse__class_Oinverse(V_a,T_a) != c_HOL_Oinverse__class_Oinverse(V_b,T_a)
% 0.75/1.18 | V_a = V_b ) ).
% 0.75/1.18
% 0.75/1.18 cnf(cls_mult__idem_0,axiom,
% 0.75/1.18 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(T_a)
% 0.75/1.18 | c_HOL_Otimes__class_Otimes(V_x,V_x,T_a) = V_x ) ).
% 0.75/1.18
% 0.75/1.18 cnf(cls_inverse__unique_0,axiom,
% 0.75/1.18 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 0.75/1.18 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) != c_HOL_Oone__class_Oone(T_a)
% 0.75/1.18 | c_HOL_Oinverse__class_Oinverse(V_a,T_a) = V_b ) ).
% 0.75/1.18
% 0.75/1.18 cnf(cls_exp__inj__iff_0,axiom,
% 0.75/1.18 ( c_Transcendental_Oexp(V_x,tc_RealDef_Oreal) != c_Transcendental_Oexp(V_y,tc_RealDef_Oreal)
% 0.75/1.18 | V_x = V_y ) ).
% 0.75/1.18
% 0.75/1.18 cnf(cls_real__mult__is__one_0,axiom,
% 0.75/1.18 ( c_HOL_Otimes__class_Otimes(V_x,V_x,tc_RealDef_Oreal) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
% 0.75/1.18 | V_x = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 0.75/1.18 | V_x = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ) ).
% 0.75/1.18
% 0.75/1.18 cnf(cls_mult__left__idem_0,axiom,
% 0.75/1.18 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(T_a)
% 0.75/1.18 | c_HOL_Otimes__class_Otimes(V_x,c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),T_a) = c_HOL_Otimes__class_Otimes(V_x,V_y,T_a) ) ).
% 0.75/1.18
% 0.75/1.18 cnf(cls_minus__mult__right_0,axiom,
% 0.75/1.18 ( ~ class_Ring__and__Field_Oring(T_a)
% 0.75/1.18 | 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) ) ).
% 0.75/1.18
% 0.75/1.18 cnf(cls_minus__mult__left_0,axiom,
% 0.75/1.18 ( ~ class_Ring__and__Field_Oring(T_a)
% 0.75/1.18 | 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) ) ).
% 0.75/1.18
% 0.75/1.18 cnf(cls_sgn__minus_0,axiom,
% 0.75/1.18 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 0.75/1.18 | 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) ) ).
% 0.75/1.18
% 0.75/1.18 cnf(cls_compl__eq__compl__iff_0,axiom,
% 0.75/1.18 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 0.75/1.18 | c_HOL_Ouminus__class_Ouminus(V_x,T_a) != c_HOL_Ouminus__class_Ouminus(V_y,T_a)
% 0.75/1.18 | V_x = V_y ) ).
% 0.75/1.18
% 0.75/1.18 cnf(cls_neg__equal__iff__equal_0,axiom,
% 0.75/1.18 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.75/1.18 | c_HOL_Ouminus__class_Ouminus(V_a,T_a) != c_HOL_Ouminus__class_Ouminus(V_b,T_a)
% 0.75/1.18 | V_a = V_b ) ).
% 0.75/1.18
% 0.75/1.18 cnf(cls_class__semiring_Osemiring__rules_I15_J_0,axiom,
% 0.75/1.18 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.75/1.18 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_ly,T_a),c_HOL_Otimes__class_Otimes(V_rx,V_ry,T_a),T_a) = c_HOL_Otimes__class_Otimes(V_rx,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_ly,T_a),V_ry,T_a),T_a) ) ).
% 0.75/1.18
% 0.75/1.18 cnf(cls_class__semiring_Osemiring__rules_I14_J_0,axiom,
% 0.75/1.18 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.75/1.18 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_ly,T_a),c_HOL_Otimes__class_Otimes(V_rx,V_ry,T_a),T_a) = c_HOL_Otimes__class_Otimes(V_lx,c_HOL_Otimes__class_Otimes(V_ly,c_HOL_Otimes__class_Otimes(V_rx,V_ry,T_a),T_a),T_a) ) ).
% 0.75/1.18
% 0.75/1.18 cnf(cls_class__semiring_Osemiring__rules_I13_J_0,axiom,
% 0.75/1.18 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.75/1.18 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_ly,T_a),c_HOL_Otimes__class_Otimes(V_rx,V_ry,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_rx,T_a),c_HOL_Otimes__class_Otimes(V_ly,V_ry,T_a),T_a) ) ).
% 0.75/1.18
% 0.75/1.18 cnf(cls_ln__inverse_0,axiom,
% 0.75/1.18 ( c_Transcendental_Oln(c_HOL_Oinverse__class_Oinverse(V_x,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Oln(V_x),tc_RealDef_Oreal)
% 0.75/1.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ).
% 0.75/1.18
% 0.75/1.18 cnf(cls_sin__add_0,axiom,
% 0.75/1.18 c_Transcendental_Osin(c_HOL_Oplus__class_Oplus(V_x,V_y,tc_RealDef_Oreal)) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Transcendental_Osin(V_x),c_Transcendental_Ocos(V_y),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(V_x),c_Transcendental_Osin(V_y),tc_RealDef_Oreal),tc_RealDef_Oreal) ).
% 0.75/1.18
% 0.75/1.18 cnf(cls_square__eq__iff_0,axiom,
% 0.75/1.18 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.75/1.18 | c_HOL_Otimes__class_Otimes(V_a,V_a,T_a) != c_HOL_Otimes__class_Otimes(V_b,V_b,T_a)
% 0.75/1.18 | V_a = c_HOL_Ouminus__class_Ouminus(V_b,T_a)
% 0.75/1.18 | V_a = V_b ) ).
% 0.75/1.18
% 0.75/1.18 cnf(cls_mult__sgn__abs_0,axiom,
% 0.75/1.18 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.75/1.18 | c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(V_x,T_a),c_HOL_Oabs__class_Oabs(V_x,T_a),T_a) = V_x ) ).
% 0.75/1.18
% 0.75/1.18 cnf(cls_norm__mult__ineq_0,axiom,
% 0.75/1.18 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 0.75/1.18 | 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) ) ).
% 0.75/1.18
% 0.75/1.18 cnf(cls_sin__cos__squared__add3_0,axiom,
% 0.75/1.18 c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(V_x),c_Transcendental_Ocos(V_x),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Osin(V_x),c_Transcendental_Osin(V_x),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ).
% 0.75/1.18
% 0.75/1.18 cnf(cls_norm__inverse_0,axiom,
% 0.75/1.18 ( ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.75/1.18 | ~ class_RealVector_Oreal__normed__div__algebra(T_a)
% 0.75/1.18 | 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) ) ).
% 0.75/1.18
% 0.75/1.18 cnf(cls_inverse__inverse__eq_0,axiom,
% 0.75/1.18 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 0.75/1.18 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.75/1.18 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) = V_a ) ).
% 0.75/1.18
% 0.75/1.18 cnf(cls_class__semiring_Omul__c_0,axiom,
% 0.75/1.18 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.75/1.18 | c_HOL_Otimes__class_Otimes(V_x,V_y,T_a) = c_HOL_Otimes__class_Otimes(V_y,V_x,T_a) ) ).
% 0.75/1.18
% 0.75/1.18 cnf(cls_real__mult__commute_0,axiom,
% 0.75/1.18 c_HOL_Otimes__class_Otimes(V_z,V_w,tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(V_w,V_z,tc_RealDef_Oreal) ).
% 0.75/1.18
% 0.75/1.18 cnf(cls_class__semiring_Osemiring__rules_I7_J_0,axiom,
% 0.75/1.18 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.75/1.18 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) = c_HOL_Otimes__class_Otimes(V_b,V_a,T_a) ) ).
% 0.75/1.18
% 0.75/1.18 cnf(cls_real__minus__mult__self__le_0,axiom,
% 0.75/1.18 c_lessequals(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(V_u,V_u,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_x,V_x,tc_RealDef_Oreal),tc_RealDef_Oreal) ).
% 0.75/1.18
% 0.75/1.18 cnf(cls_exp__add_0,axiom,
% 0.75/1.18 ( ~ class_SEQ_Obanach(T_a)
% 0.75/1.18 | ~ class_RealVector_Oreal__normed__field(T_a)
% 0.75/1.18 | 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) ) ).
% 0.75/1.18
% 0.75/1.18 cnf(cls_minus__equation__iff_1,axiom,
% 0.75/1.18 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.75/1.18 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) = V_b ) ).
% 0.75/1.18
% 0.75/1.18 cnf(cls_equation__minus__iff_1,axiom,
% 0.75/1.18 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.75/1.18 | V_a = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 0.75/1.18
% 0.75/1.18 cnf(cls_equation__minus__iff_0,axiom,
% 0.75/1.18 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.75/1.18 | V_b = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ).
% 0.75/1.18
% 0.75/1.18 cnf(cls_double__compl_0,axiom,
% 0.75/1.18 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 0.75/1.18 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_x,T_a),T_a) = V_x ) ).
% 0.75/1.18
% 0.75/1.18 cnf(cls_minus__minus_0,axiom,
% 0.75/1.18 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.75/1.18 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) = V_a ) ).
% 0.75/1.18
% 0.75/1.18 cnf(cls_neg__equal__zero_1,axiom,
% 0.75/1.19 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a)
% 0.75/1.19 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_minus__zero_0,axiom,
% 0.75/1.19 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.75/1.19 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_inverse__zero__imp__zero_0,axiom,
% 0.75/1.19 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 0.75/1.19 | c_HOL_Oinverse__class_Oinverse(V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.75/1.19 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_inverse__nonzero__iff__nonzero_0,axiom,
% 0.75/1.19 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 0.75/1.19 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.75/1.19 | c_HOL_Oinverse__class_Oinverse(V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.75/1.19 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_neg__0__equal__iff__equal_1,axiom,
% 0.75/1.19 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.75/1.19 | c_HOL_Ozero__class_Ozero(T_a) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_sgn__0__0_1,axiom,
% 0.75/1.19 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.75/1.19 | c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_sgn0_0,axiom,
% 0.75/1.19 ( ~ class_Ring__and__Field_Osgn__if(T_a)
% 0.75/1.19 | c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_sgn__zero_0,axiom,
% 0.75/1.19 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 0.75/1.19 | c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_mult__eq__0__iff_2,axiom,
% 0.75/1.19 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(T_a)
% 0.75/1.19 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_mult__eq__0__iff_1,axiom,
% 0.75/1.19 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(T_a)
% 0.75/1.19 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_exp__ge__zero_0,axiom,
% 0.75/1.19 c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oexp(V_x,tc_RealDef_Oreal),tc_RealDef_Oreal) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_norm__ge__zero_0,axiom,
% 0.75/1.19 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 0.75/1.19 | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(V_x,T_a),tc_RealDef_Oreal) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_exp__gt__zero_0,axiom,
% 0.75/1.19 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oexp(V_x,tc_RealDef_Oreal),tc_RealDef_Oreal) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_real__mult__less__iff1_0,axiom,
% 0.75/1.19 ( c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal)
% 0.75/1.19 | ~ 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)
% 0.75/1.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_z,tc_RealDef_Oreal) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_real__mult__less__iff1_1,axiom,
% 0.75/1.19 ( 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)
% 0.75/1.19 | ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal)
% 0.75/1.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_z,tc_RealDef_Oreal) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_real__mult__less__mono2_0,axiom,
% 0.75/1.19 ( 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)
% 0.75/1.19 | ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal)
% 0.75/1.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_z,tc_RealDef_Oreal) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_norm__not__less__zero_0,axiom,
% 0.75/1.19 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 0.75/1.19 | ~ 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) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_real__mult__order_0,axiom,
% 0.75/1.19 ( 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)
% 0.75/1.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_y,tc_RealDef_Oreal)
% 0.75/1.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_not__exp__less__zero_0,axiom,
% 0.75/1.19 ~ c_HOL_Oord__class_Oless(c_Transcendental_Oexp(V_x,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_ln__less__self_0,axiom,
% 0.75/1.19 ( c_HOL_Oord__class_Oless(c_Transcendental_Oln(V_x),V_x,tc_RealDef_Oreal)
% 0.75/1.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_ln__inj__iff_0,axiom,
% 0.75/1.19 ( c_Transcendental_Oln(V_x) != c_Transcendental_Oln(V_y)
% 0.75/1.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_y,tc_RealDef_Oreal)
% 0.75/1.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal)
% 0.75/1.19 | V_x = V_y ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_ln__less__cancel__iff_0,axiom,
% 0.75/1.19 ( c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal)
% 0.75/1.19 | ~ c_HOL_Oord__class_Oless(c_Transcendental_Oln(V_x),c_Transcendental_Oln(V_y),tc_RealDef_Oreal)
% 0.75/1.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_y,tc_RealDef_Oreal)
% 0.75/1.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_ln__less__cancel__iff_1,axiom,
% 0.75/1.19 ( c_HOL_Oord__class_Oless(c_Transcendental_Oln(V_x),c_Transcendental_Oln(V_y),tc_RealDef_Oreal)
% 0.75/1.19 | ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal)
% 0.75/1.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_y,tc_RealDef_Oreal)
% 0.75/1.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_not__real__square__gt__zero_1,axiom,
% 0.75/1.19 ~ 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) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_not__real__square__gt__zero_0,axiom,
% 0.75/1.19 ( V_x = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 0.75/1.19 | 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) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_norm__one_0,axiom,
% 0.75/1.19 ( ~ class_RealVector_Oreal__normed__algebra__1(T_a)
% 0.75/1.19 | c_RealVector_Onorm__class_Onorm(c_HOL_Oone__class_Oone(T_a),T_a) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_exp__eq__one__iff_0,axiom,
% 0.75/1.19 ( c_Transcendental_Oexp(V_x,tc_RealDef_Oreal) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
% 0.75/1.19 | V_x = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_ln__one_0,axiom,
% 0.75/1.19 c_Transcendental_Oln(c_HOL_Oone__class_Oone(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_cos__zero_0,axiom,
% 0.75/1.19 c_Transcendental_Ocos(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_exp__eq__one__iff_1,axiom,
% 0.75/1.19 c_Transcendental_Oexp(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_cos__le__one_0,axiom,
% 0.75/1.19 c_lessequals(c_Transcendental_Ocos(V_x),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_sin__le__one_0,axiom,
% 0.75/1.19 c_lessequals(c_Transcendental_Osin(V_x),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_real__add__eq__0__iff_1,axiom,
% 0.75/1.19 c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_real__add__minus__iff_0,axiom,
% 0.75/1.19 ( c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ouminus__class_Ouminus(V_a,tc_RealDef_Oreal),tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 0.75/1.19 | V_x = V_a ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_real__sum__squares__cancel_0,axiom,
% 0.75/1.19 ( 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)
% 0.75/1.19 | V_x = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_real__sum__squares__cancel2_0,axiom,
% 0.75/1.19 ( 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)
% 0.75/1.19 | V_y = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_real__add__eq__0__iff_0,axiom,
% 0.75/1.19 ( c_HOL_Oplus__class_Oplus(V_x,V_y,tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 0.75/1.19 | V_y = c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_real__two__squares__add__zero__iff_2,axiom,
% 0.75/1.19 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) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_complex__Re__le__cmod_0,axiom,
% 0.75/1.19 c_lessequals(c_Complex_ORe(V_x),c_RealVector_Onorm__class_Onorm(V_x,tc_Complex_Ocomplex),tc_RealDef_Oreal) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_abs__le__interval__iff_0,axiom,
% 0.75/1.19 ( c_lessequals(c_HOL_Ouminus__class_Ouminus(V_r,tc_RealDef_Oreal),V_x,tc_RealDef_Oreal)
% 0.75/1.19 | ~ c_lessequals(c_HOL_Oabs__class_Oabs(V_x,tc_RealDef_Oreal),V_r,tc_RealDef_Oreal) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_abs__le__interval__iff_2,axiom,
% 0.75/1.19 ( c_lessequals(c_HOL_Oabs__class_Oabs(V_x,tc_RealDef_Oreal),V_r,tc_RealDef_Oreal)
% 0.75/1.19 | ~ c_lessequals(V_x,V_r,tc_RealDef_Oreal)
% 0.75/1.19 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_r,tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_abs__minus__add__cancel_0,axiom,
% 0.75/1.19 c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ouminus__class_Ouminus(V_y,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(V_y,c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_mult__le__cancel__left__neg_0,axiom,
% 0.75/1.19 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.75/1.19 | c_lessequals(V_b,V_a,T_a)
% 0.75/1.19 | ~ 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)
% 0.75/1.19 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_mult__le__cancel__left__neg_1,axiom,
% 0.75/1.19 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.75/1.19 | 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)
% 0.75/1.19 | ~ c_lessequals(V_b,V_a,T_a)
% 0.75/1.19 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_mult__le__cancel__left__pos_0,axiom,
% 0.75/1.19 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.75/1.19 | c_lessequals(V_a,V_b,T_a)
% 0.75/1.19 | ~ 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)
% 0.75/1.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_mult__le__cancel__left__pos_1,axiom,
% 0.75/1.19 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.75/1.19 | 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)
% 0.75/1.19 | ~ c_lessequals(V_a,V_b,T_a)
% 0.75/1.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_mult__left__le__imp__le_0,axiom,
% 0.75/1.19 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.75/1.19 | c_lessequals(V_a,V_b,T_a)
% 0.75/1.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.75/1.19 | ~ 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) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_mult__right__le__imp__le_0,axiom,
% 0.75/1.19 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.75/1.19 | c_lessequals(V_a,V_b,T_a)
% 0.75/1.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.75/1.19 | ~ 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) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_mult__strict__mono_0,axiom,
% 0.75/1.19 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.75/1.19 | 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)
% 0.75/1.19 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.75/1.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.75/1.19 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a)
% 0.75/1.19 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_mult__left__less__imp__less_0,axiom,
% 0.75/1.19 ( ~ class_Ring__and__Field_Oordered__semiring(T_a)
% 0.75/1.19 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.75/1.19 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.75/1.19 | ~ 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) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_mult__right__less__imp__less_0,axiom,
% 0.75/1.19 ( ~ class_Ring__and__Field_Oordered__semiring(T_a)
% 0.75/1.19 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.75/1.19 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.75/1.19 | ~ 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) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_mult__less__imp__less__left_0,axiom,
% 0.75/1.19 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.75/1.19 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.75/1.19 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.75/1.19 | ~ 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) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_mult__less__imp__less__right_0,axiom,
% 0.75/1.19 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.75/1.19 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.75/1.19 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.75/1.19 | ~ 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) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_mult__strict__mono_H_0,axiom,
% 0.75/1.19 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.75/1.19 | 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)
% 0.75/1.19 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.75/1.19 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.75/1.19 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a)
% 0.75/1.19 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_inverse__le__imp__le_0,axiom,
% 0.75/1.19 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.75/1.19 | c_lessequals(V_b,V_a,T_a)
% 0.75/1.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.75/1.19 | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_le__imp__inverse__le_0,axiom,
% 0.75/1.19 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.75/1.19 | c_lessequals(c_HOL_Oinverse__class_Oinverse(V_b,T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a)
% 0.75/1.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.75/1.19 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_inverse__le__imp__le__neg_0,axiom,
% 0.75/1.19 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.75/1.19 | c_lessequals(V_b,V_a,T_a)
% 0.75/1.19 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.75/1.19 | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_le__imp__inverse__le__neg_0,axiom,
% 0.75/1.19 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.75/1.19 | c_lessequals(c_HOL_Oinverse__class_Oinverse(V_b,T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a)
% 0.75/1.19 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.75/1.19 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_mult__le__less__imp__less_0,axiom,
% 0.75/1.19 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.75/1.19 | 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)
% 0.75/1.19 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.75/1.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.75/1.19 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a)
% 0.75/1.19 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_mult__less__le__imp__less_0,axiom,
% 0.75/1.19 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.75/1.19 | 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)
% 0.75/1.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.75/1.19 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.75/1.19 | ~ c_lessequals(V_c,V_d,T_a)
% 0.75/1.19 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_sum__squares__gt__zero__iff_1,axiom,
% 0.75/1.19 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.75/1.19 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,T_a),c_HOL_Otimes__class_Otimes(V_y,V_y,T_a),T_a),T_a)
% 0.75/1.19 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_sum__squares__gt__zero__iff_2,axiom,
% 0.75/1.19 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.75/1.19 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,T_a),c_HOL_Otimes__class_Otimes(V_y,V_y,T_a),T_a),T_a)
% 0.75/1.19 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_not__sum__squares__lt__zero_0,axiom,
% 0.75/1.19 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.75/1.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,T_a),c_HOL_Otimes__class_Otimes(V_y,V_y,T_a),T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_sum__squares__gt__zero__iff_0,axiom,
% 0.75/1.19 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.75/1.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a),T_a),T_a) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_sum__squares__le__zero__iff_0,axiom,
% 0.75/1.19 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.75/1.19 | V_x = c_HOL_Ozero__class_Ozero(T_a)
% 0.75/1.19 | ~ 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) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_sum__squares__le__zero__iff_1,axiom,
% 0.75/1.19 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.75/1.19 | V_y = c_HOL_Ozero__class_Ozero(T_a)
% 0.75/1.19 | ~ 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) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_sum__squares__ge__zero_0,axiom,
% 0.75/1.19 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.75/1.19 | 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) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_sum__squares__le__zero__iff_2,axiom,
% 0.75/1.19 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.75/1.19 | 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) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_le__eq__neg_0,axiom,
% 0.75/1.19 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.75/1.19 | c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.75/1.19 | ~ c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_le__eq__neg_1,axiom,
% 0.75/1.19 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.75/1.19 | c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a)
% 0.75/1.19 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_sgn__if_1,axiom,
% 0.75/1.19 ( ~ class_Ring__and__Field_Osgn__if(T_a)
% 0.75/1.19 | c_HOL_Osgn__class_Osgn(V_x,T_a) = c_HOL_Oone__class_Oone(T_a)
% 0.75/1.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a)
% 0.75/1.19 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_one__less__inverse__iff_0,axiom,
% 0.75/1.19 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.75/1.19 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.75/1.19 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a)
% 0.75/1.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),c_HOL_Oinverse__class_Oinverse(V_x,T_a),T_a) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_one__less__inverse__iff_2,axiom,
% 0.75/1.19 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.75/1.19 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.75/1.19 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),c_HOL_Oinverse__class_Oinverse(V_x,T_a),T_a)
% 0.75/1.19 | ~ c_HOL_Oord__class_Oless(V_x,c_HOL_Oone__class_Oone(T_a),T_a)
% 0.75/1.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_sgn__pos_0,axiom,
% 0.75/1.19 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.75/1.19 | c_HOL_Osgn__class_Osgn(V_a,T_a) = c_HOL_Oone__class_Oone(T_a)
% 0.75/1.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_sgn__1__pos_0,axiom,
% 0.75/1.19 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.75/1.19 | c_HOL_Osgn__class_Osgn(V_a,T_a) != c_HOL_Oone__class_Oone(T_a)
% 0.75/1.19 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_inverse__le__1__iff_0,axiom,
% 0.75/1.19 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.75/1.19 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.75/1.19 | c_lessequals(c_HOL_Oone__class_Oone(T_a),V_x,T_a)
% 0.75/1.19 | c_lessequals(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.75/1.19 | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(V_x,T_a),c_HOL_Oone__class_Oone(T_a),T_a) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_inverse__le__1__iff_1,axiom,
% 0.75/1.19 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.75/1.19 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.75/1.19 | c_lessequals(c_HOL_Oinverse__class_Oinverse(V_x,T_a),c_HOL_Oone__class_Oone(T_a),T_a)
% 0.75/1.19 | ~ c_lessequals(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_mult__left__le__one__le_0,axiom,
% 0.75/1.19 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.75/1.19 | c_lessequals(c_HOL_Otimes__class_Otimes(V_y,V_x,T_a),V_x,T_a)
% 0.75/1.19 | ~ c_lessequals(V_y,c_HOL_Oone__class_Oone(T_a),T_a)
% 0.75/1.19 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)
% 0.75/1.19 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_mult__right__le__one__le_0,axiom,
% 0.75/1.19 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.75/1.19 | c_lessequals(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),V_x,T_a)
% 0.75/1.19 | ~ c_lessequals(V_y,c_HOL_Oone__class_Oone(T_a),T_a)
% 0.75/1.19 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)
% 0.75/1.19 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_abs__if__lattice_0,axiom,
% 0.75/1.19 ( ~ class_Orderings_Olinorder(T_a)
% 0.75/1.19 | ~ class_OrderedGroup_Olordered__ab__group__add__abs(T_a)
% 0.75/1.19 | c_HOL_Oabs__class_Oabs(V_a,T_a) = c_HOL_Ouminus__class_Ouminus(V_a,T_a)
% 0.75/1.19 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_abs__if_0,axiom,
% 0.75/1.19 ( ~ class_Ring__and__Field_Oabs__if(T_a)
% 0.75/1.19 | c_HOL_Oabs__class_Oabs(V_a,T_a) = c_HOL_Ouminus__class_Ouminus(V_a,T_a)
% 0.75/1.19 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_abs__of__neg_0,axiom,
% 0.75/1.19 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.75/1.19 | c_HOL_Oabs__class_Oabs(V_a,T_a) = c_HOL_Ouminus__class_Ouminus(V_a,T_a)
% 0.75/1.19 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_abs__of__nonpos_0,axiom,
% 0.75/1.19 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.75/1.19 | c_HOL_Oabs__class_Oabs(V_a,T_a) = c_HOL_Ouminus__class_Ouminus(V_a,T_a)
% 0.75/1.19 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_abs__minus__le__zero_0,axiom,
% 0.75/1.19 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.75/1.19 | c_lessequals(c_HOL_Ouminus__class_Ouminus(c_HOL_Oabs__class_Oabs(V_a,T_a),T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_abs__eq__mult_0,axiom,
% 0.75/1.19 ( ~ class_Ring__and__Field_Opordered__ring__abs(T_a)
% 0.75/1.19 | c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a)
% 0.75/1.19 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.75/1.19 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_abs__eq__mult_1,axiom,
% 0.75/1.19 ( ~ class_Ring__and__Field_Opordered__ring__abs(T_a)
% 0.75/1.19 | c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a)
% 0.75/1.19 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.75/1.19 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_abs__eq__mult_2,axiom,
% 0.75/1.19 ( ~ class_Ring__and__Field_Opordered__ring__abs(T_a)
% 0.75/1.19 | c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a)
% 0.75/1.19 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.75/1.19 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_abs__eq__mult_3,axiom,
% 0.75/1.19 ( ~ class_Ring__and__Field_Opordered__ring__abs(T_a)
% 0.75/1.19 | c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a)
% 0.75/1.19 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.75/1.19 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_abs__mult__pos_0,axiom,
% 0.75/1.19 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.75/1.19 | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(V_y,T_a),V_x,T_a) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(V_y,V_x,T_a),T_a)
% 0.75/1.19 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_norm__le__zero__iff_0,axiom,
% 0.75/1.19 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 0.75/1.19 | V_x = c_HOL_Ozero__class_Ozero(T_a)
% 0.75/1.19 | ~ c_lessequals(c_RealVector_Onorm__class_Onorm(V_x,T_a),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_norm__le__zero__iff_1,axiom,
% 0.75/1.19 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 0.75/1.19 | 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) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_zero__less__norm__iff_0,axiom,
% 0.75/1.19 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 0.75/1.19 | ~ 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) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_zero__less__norm__iff_1,axiom,
% 0.75/1.19 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 0.75/1.19 | 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)
% 0.75/1.19 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_real__mult__le__cancel__iff1_0,axiom,
% 0.75/1.19 ( c_lessequals(V_x,V_y,tc_RealDef_Oreal)
% 0.75/1.19 | ~ 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)
% 0.75/1.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_z,tc_RealDef_Oreal) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_real__mult__le__cancel__iff1_1,axiom,
% 0.75/1.19 ( 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)
% 0.75/1.19 | ~ c_lessequals(V_x,V_y,tc_RealDef_Oreal)
% 0.75/1.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_z,tc_RealDef_Oreal) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_real__mult__le__cancel__iff2_0,axiom,
% 0.75/1.19 ( c_lessequals(V_x,V_y,tc_RealDef_Oreal)
% 0.75/1.19 | ~ 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)
% 0.75/1.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_z,tc_RealDef_Oreal) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_real__mult__le__cancel__iff2_1,axiom,
% 0.75/1.19 ( 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)
% 0.75/1.19 | ~ c_lessequals(V_x,V_y,tc_RealDef_Oreal)
% 0.75/1.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_z,tc_RealDef_Oreal) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_ln__le__cancel__iff_0,axiom,
% 0.75/1.19 ( c_lessequals(V_x,V_y,tc_RealDef_Oreal)
% 0.75/1.19 | ~ c_lessequals(c_Transcendental_Oln(V_x),c_Transcendental_Oln(V_y),tc_RealDef_Oreal)
% 0.75/1.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_y,tc_RealDef_Oreal)
% 0.75/1.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_ln__le__cancel__iff_1,axiom,
% 0.75/1.19 ( c_lessequals(c_Transcendental_Oln(V_x),c_Transcendental_Oln(V_y),tc_RealDef_Oreal)
% 0.75/1.19 | ~ c_lessequals(V_x,V_y,tc_RealDef_Oreal)
% 0.75/1.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_y,tc_RealDef_Oreal)
% 0.75/1.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_norm__triangle__ineq_0,axiom,
% 0.75/1.19 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 0.75/1.19 | 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) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_norm__add__less_0,axiom,
% 0.75/1.19 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 0.75/1.19 | 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)
% 0.75/1.19 | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(V_y,T_a),V_s,tc_RealDef_Oreal)
% 0.75/1.19 | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(V_x,T_a),V_r,tc_RealDef_Oreal) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_one__le__exp__iff_0,axiom,
% 0.75/1.19 ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal)
% 0.75/1.19 | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_Transcendental_Oexp(V_x,tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_one__le__exp__iff_1,axiom,
% 0.75/1.19 ( c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_Transcendental_Oexp(V_x,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 0.75/1.19 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_exp__le__one__iff_0,axiom,
% 0.75/1.19 ( c_lessequals(V_x,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 0.75/1.19 | ~ c_lessequals(c_Transcendental_Oexp(V_x,tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_exp__le__one__iff_1,axiom,
% 0.75/1.19 ( c_lessequals(c_Transcendental_Oexp(V_x,tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 0.75/1.19 | ~ c_lessequals(V_x,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_ln__ge__zero_0,axiom,
% 0.75/1.19 ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oln(V_x),tc_RealDef_Oreal)
% 0.75/1.19 | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_exp__gt__one_0,axiom,
% 0.75/1.19 ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_Transcendental_Oexp(V_x,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 0.75/1.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_one__less__exp__iff_0,axiom,
% 0.75/1.19 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal)
% 0.75/1.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_Transcendental_Oexp(V_x,tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_ln__gt__zero__iff_0,axiom,
% 0.75/1.19 ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal)
% 0.75/1.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oln(V_x),tc_RealDef_Oreal)
% 0.75/1.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_ln__gt__zero__iff_1,axiom,
% 0.75/1.19 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oln(V_x),tc_RealDef_Oreal)
% 0.75/1.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal)
% 0.75/1.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_mult__zero__right_0,axiom,
% 0.75/1.19 ( ~ class_Ring__and__Field_Omult__zero(T_a)
% 0.75/1.19 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_mult__zero__left_0,axiom,
% 0.75/1.19 ( ~ class_Ring__and__Field_Omult__zero(T_a)
% 0.75/1.19 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_class__semiring_Omul__0_0,axiom,
% 0.75/1.19 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.75/1.19 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_mult__right_Ozero_0,axiom,
% 0.75/1.19 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 0.75/1.19 | c_HOL_Otimes__class_Otimes(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_mult_Ozero__right_0,axiom,
% 0.75/1.19 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 0.75/1.19 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_mult_Ozero__left_0,axiom,
% 0.75/1.19 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 0.75/1.19 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_mult__left_Ozero_0,axiom,
% 0.75/1.19 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 0.75/1.19 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_class__semiring_Osemiring__rules_I10_J_0,axiom,
% 0.75/1.19 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.75/1.19 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_class__semiring_Osemiring__rules_I9_J_0,axiom,
% 0.75/1.19 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.75/1.19 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_nonzero__inverse__inverse__eq_0,axiom,
% 0.75/1.19 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 0.75/1.19 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) = V_a
% 0.75/1.19 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_neg__equal__zero_0,axiom,
% 0.75/1.19 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a)
% 0.75/1.19 | c_HOL_Ouminus__class_Ouminus(V_a,T_a) != V_a
% 0.75/1.19 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_inverse__zero_0,axiom,
% 0.75/1.19 ( ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.75/1.19 | c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_inverse__nonzero__iff__nonzero_1,axiom,
% 0.75/1.19 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 0.75/1.19 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.75/1.19 | c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_nonzero__inverse__eq__imp__eq_0,axiom,
% 0.75/1.19 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 0.75/1.19 | c_HOL_Oinverse__class_Oinverse(V_a,T_a) != c_HOL_Oinverse__class_Oinverse(V_b,T_a)
% 0.75/1.19 | V_a = V_b
% 0.75/1.19 | V_b = c_HOL_Ozero__class_Ozero(T_a)
% 0.75/1.19 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_neg__equal__0__iff__equal_0,axiom,
% 0.75/1.19 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.75/1.19 | c_HOL_Ouminus__class_Ouminus(V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.75/1.19 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_mult__eq__0__iff_0,axiom,
% 0.75/1.19 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(T_a)
% 0.75/1.19 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.75/1.19 | V_b = c_HOL_Ozero__class_Ozero(T_a)
% 0.75/1.19 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_no__zero__divisors_0,axiom,
% 0.75/1.19 ( ~ class_Ring__and__Field_Ono__zero__divisors(T_a)
% 0.75/1.19 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.75/1.19 | V_b = c_HOL_Ozero__class_Ozero(T_a)
% 0.75/1.19 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_no__zero__divirors__neq0_0,axiom,
% 0.75/1.19 ( ~ class_Ring__and__Field_Ono__zero__divisors(T_a)
% 0.75/1.19 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.75/1.19 | V_a = c_HOL_Ozero__class_Ozero(T_a)
% 0.75/1.19 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_neg__0__equal__iff__equal_0,axiom,
% 0.75/1.19 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.75/1.19 | c_HOL_Ozero__class_Ozero(T_a) != c_HOL_Ouminus__class_Ouminus(V_a,T_a)
% 0.75/1.19 | c_HOL_Ozero__class_Ozero(T_a) = V_a ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_sgn__0__0_0,axiom,
% 0.75/1.19 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.75/1.19 | c_HOL_Osgn__class_Osgn(V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.75/1.19 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_sgn__zero__iff_0,axiom,
% 0.75/1.19 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 0.75/1.19 | c_HOL_Osgn__class_Osgn(V_x,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.75/1.19 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_exp__not__eq__zero_0,axiom,
% 0.75/1.19 ( ~ class_SEQ_Obanach(T_a)
% 0.75/1.19 | ~ class_RealVector_Oreal__normed__field(T_a)
% 0.75/1.19 | c_Transcendental_Oexp(V_x,T_a) != c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_mult__less__cancel__right__disj_3,axiom,
% 0.75/1.19 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.75/1.19 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.75/1.19 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.75/1.19 | ~ 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) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_mult__less__cancel__left__disj_3,axiom,
% 0.75/1.19 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.75/1.19 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.75/1.19 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.75/1.19 | ~ 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) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_neg__less__iff__less_1,axiom,
% 0.75/1.19 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.75/1.19 | 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)
% 0.75/1.19 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_neg__less__iff__less_0,axiom,
% 0.75/1.19 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.75/1.19 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.75/1.19 | ~ 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) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_minus__less__iff_1,axiom,
% 0.75/1.19 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.75/1.19 | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a)
% 0.75/1.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_minus__less__iff_0,axiom,
% 0.75/1.19 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.75/1.19 | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a)
% 0.75/1.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_less__minus__iff_1,axiom,
% 0.75/1.19 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.75/1.19 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a)
% 0.75/1.19 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_less__minus__iff_0,axiom,
% 0.75/1.19 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.75/1.19 | c_HOL_Oord__class_Oless(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
% 0.75/1.19 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_neg__le__iff__le_0,axiom,
% 0.75/1.19 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.75/1.19 | c_lessequals(V_a,V_b,T_a)
% 0.75/1.19 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_le__imp__neg__le_0,axiom,
% 0.75/1.19 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.75/1.19 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
% 0.75/1.19 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_minus__le__iff_1,axiom,
% 0.75/1.19 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.75/1.19 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a)
% 0.75/1.19 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_minus__le__iff_0,axiom,
% 0.75/1.19 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.75/1.19 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a)
% 0.75/1.19 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_le__minus__iff_1,axiom,
% 0.75/1.19 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.75/1.19 | c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a)
% 0.75/1.19 | ~ c_lessequals(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_le__minus__iff_0,axiom,
% 0.75/1.19 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.75/1.19 | c_lessequals(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
% 0.75/1.19 | ~ c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_division__ring__inverse__add_0,axiom,
% 0.75/1.19 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 0.75/1.19 | 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)
% 0.75/1.19 | V_b = c_HOL_Ozero__class_Ozero(T_a)
% 0.75/1.19 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_inverse__add_0,axiom,
% 0.75/1.19 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.75/1.19 | 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)
% 0.75/1.19 | V_b = c_HOL_Ozero__class_Ozero(T_a)
% 0.75/1.19 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_right__inverse_0,axiom,
% 0.75/1.19 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 0.75/1.19 | 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)
% 0.75/1.19 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_left__inverse_0,axiom,
% 0.75/1.19 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 0.75/1.19 | 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)
% 0.75/1.19 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_field__inverse_0,axiom,
% 0.75/1.19 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.75/1.19 | 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)
% 0.75/1.19 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_minus__add__distrib_0,axiom,
% 0.75/1.19 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.75/1.19 | 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) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_minus__add_0,axiom,
% 0.75/1.19 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.75/1.19 | 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) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_minus__add__cancel_0,axiom,
% 0.75/1.19 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.75/1.19 | 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 ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_add__cancel__end_1,axiom,
% 0.75/1.19 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.75/1.19 | 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 ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_class__ringb_Oadd__mul__solve_0,axiom,
% 0.75/1.19 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.75/1.19 | ~ class_Int_Onumber__ring(T_a)
% 0.75/1.19 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_w,V_y,T_a),c_HOL_Otimes__class_Otimes(V_x,V_z,T_a),T_a) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_w,V_z,T_a),c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),T_a)
% 0.75/1.19 | V_y = V_z
% 0.75/1.19 | V_w = V_x ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_class__ringb_Onoteq__reduce_0,axiom,
% 0.75/1.19 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.75/1.19 | ~ class_Int_Onumber__ring(T_a)
% 0.75/1.19 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_d,T_a),T_a) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_d,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a)
% 0.75/1.19 | V_c = V_d
% 0.75/1.19 | V_a = V_b ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_class__semiring_Osemiring__rules_I1_J_0,axiom,
% 0.75/1.19 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.75/1.19 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_m,T_a),c_HOL_Otimes__class_Otimes(V_b,V_m,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_m,T_a) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_comm__semiring__class_Odistrib_0,axiom,
% 0.75/1.19 ( ~ class_Ring__and__Field_Ocomm__semiring(T_a)
% 0.75/1.19 | c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_class__semiring_Omul__d_0,axiom,
% 0.75/1.19 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.75/1.19 | c_HOL_Otimes__class_Otimes(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),c_HOL_Otimes__class_Otimes(V_x,V_z,T_a),T_a) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_mult_Oadd__left_0,axiom,
% 0.75/1.19 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 0.75/1.19 | c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_a,V_a_H,T_a),V_b,T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Otimes__class_Otimes(V_a_H,V_b,T_a),T_a) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_mult__left_Oadd_0,axiom,
% 0.75/1.19 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 0.75/1.19 | c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_x,V_y,T_a),V_ya,T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_ya,T_a),c_HOL_Otimes__class_Otimes(V_y,V_ya,T_a),T_a) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_mult_Oadd__right_0,axiom,
% 0.75/1.19 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 0.75/1.19 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Oplus__class_Oplus(V_b,V_b_H,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Otimes__class_Otimes(V_a,V_b_H,T_a),T_a) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_mult__right_Oadd_0,axiom,
% 0.75/1.19 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 0.75/1.19 | c_HOL_Otimes__class_Otimes(V_xa,c_HOL_Oplus__class_Oplus(V_x,V_y,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_xa,V_x,T_a),c_HOL_Otimes__class_Otimes(V_xa,V_y,T_a),T_a) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_class__semiring_Osemiring__rules_I8_J_0,axiom,
% 0.75/1.19 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.75/1.19 | c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_add__minus__cancel_0,axiom,
% 0.75/1.19 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.75/1.19 | 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 ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_class__ringb_Oadd__mul__solve_1,axiom,
% 0.75/1.19 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.75/1.19 | ~ class_Int_Onumber__ring(T_a)
% 0.75/1.19 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),c_HOL_Otimes__class_Otimes(V_x,V_z,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_z,T_a),c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),T_a) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_class__ringb_Onoteq__reduce_1,axiom,
% 0.75/1.19 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.75/1.19 | ~ class_Int_Onumber__ring(T_a)
% 0.75/1.19 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_c,T_a),c_HOL_Otimes__class_Otimes(V_x,V_d,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_d,T_a),c_HOL_Otimes__class_Otimes(V_x,V_c,T_a),T_a) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_combine__common__factor_0,axiom,
% 0.75/1.19 ( ~ class_Ring__and__Field_Osemiring(T_a)
% 0.75/1.19 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_c,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_e,T_a),V_c,T_a) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_add__cancel__end_0,axiom,
% 0.75/1.19 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.75/1.19 | c_HOL_Oplus__class_Oplus(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a) != V_y
% 0.75/1.19 | V_x = c_HOL_Ouminus__class_Ouminus(V_z,T_a) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_norm__sgn_0,axiom,
% 0.75/1.19 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 0.75/1.19 | 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) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_inverse__1_0,axiom,
% 0.75/1.19 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 0.75/1.19 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(T_a),T_a) = c_HOL_Oone__class_Oone(T_a) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_inverse__eq__1__iff_1,axiom,
% 0.75/1.19 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.75/1.19 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.75/1.19 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(T_a),T_a) = c_HOL_Oone__class_Oone(T_a) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_mult__1__right_0,axiom,
% 0.75/1.19 ( ~ class_OrderedGroup_Omonoid__mult(T_a)
% 0.75/1.19 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Oone__class_Oone(T_a),T_a) = V_a ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_mult__1__left_0,axiom,
% 0.75/1.19 ( ~ class_OrderedGroup_Omonoid__mult(T_a)
% 0.75/1.19 | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(T_a),V_a,T_a) = V_a ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_mult__1_0,axiom,
% 0.75/1.19 ( ~ class_OrderedGroup_Ocomm__monoid__mult(T_a)
% 0.75/1.19 | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(T_a),V_a,T_a) = V_a ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_class__semiring_Omul__1_0,axiom,
% 0.75/1.19 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.75/1.19 | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(T_a),V_x,T_a) = V_x ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_class__semiring_Osemiring__rules_I12_J_0,axiom,
% 0.75/1.19 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.75/1.19 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Oone__class_Oone(T_a),T_a) = V_a ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_class__semiring_Osemiring__rules_I11_J_0,axiom,
% 0.75/1.19 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.75/1.19 | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(T_a),V_a,T_a) = V_a ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_sgn__one_0,axiom,
% 0.75/1.19 ( ~ class_RealVector_Oreal__normed__algebra__1(T_a)
% 0.75/1.19 | c_HOL_Osgn__class_Osgn(c_HOL_Oone__class_Oone(T_a),T_a) = c_HOL_Oone__class_Oone(T_a) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_inverse__eq__1__iff_0,axiom,
% 0.75/1.19 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.75/1.19 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.75/1.19 | c_HOL_Oinverse__class_Oinverse(V_x,T_a) != c_HOL_Oone__class_Oone(T_a)
% 0.75/1.19 | V_x = c_HOL_Oone__class_Oone(T_a) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_norm__sgn_1,axiom,
% 0.75/1.19 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 0.75/1.19 | c_RealVector_Onorm__class_Onorm(c_HOL_Osgn__class_Osgn(V_x,T_a),T_a) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
% 0.75/1.19 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_real__sgn__def_0,axiom,
% 0.75/1.19 c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_real__mult__right__cancel_0,axiom,
% 0.75/1.19 ( c_HOL_Otimes__class_Otimes(V_a,V_c,tc_RealDef_Oreal) != c_HOL_Otimes__class_Otimes(V_b,V_c,tc_RealDef_Oreal)
% 0.75/1.19 | V_c = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 0.75/1.19 | V_a = V_b ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_real__mult__left__cancel_0,axiom,
% 0.75/1.19 ( c_HOL_Otimes__class_Otimes(V_c,V_a,tc_RealDef_Oreal) != c_HOL_Otimes__class_Otimes(V_c,V_b,tc_RealDef_Oreal)
% 0.75/1.19 | V_c = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 0.75/1.19 | V_a = V_b ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_sin__zero_0,axiom,
% 0.75/1.19 c_Transcendental_Osin(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_INVERSE__ZERO_0,axiom,
% 0.75/1.19 c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_real__mult__inverse__cancel2_0,axiom,
% 0.75/1.19 ( 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)
% 0.75/1.19 | ~ 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)
% 0.75/1.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x1,tc_RealDef_Oreal)
% 0.75/1.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_real__mult__inverse__cancel_0,axiom,
% 0.75/1.19 ( 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)
% 0.75/1.19 | ~ 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)
% 0.75/1.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x1,tc_RealDef_Oreal)
% 0.75/1.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_exp__ln_0,axiom,
% 0.75/1.19 ( c_Transcendental_Oexp(c_Transcendental_Oln(V_x),tc_RealDef_Oreal) = V_x
% 0.75/1.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_exp__ln__iff_0,axiom,
% 0.75/1.19 ( c_Transcendental_Oexp(c_Transcendental_Oln(V_x),tc_RealDef_Oreal) != V_x
% 0.75/1.19 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_Bseq__inverse__lemma_0,axiom,
% 0.75/1.19 ( ~ class_RealVector_Oreal__normed__div__algebra(T_a)
% 0.75/1.19 | 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)
% 0.75/1.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_r,tc_RealDef_Oreal)
% 0.75/1.19 | ~ c_lessequals(V_r,c_RealVector_Onorm__class_Onorm(V_x,T_a),tc_RealDef_Oreal) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_exp__le__cancel__iff_1,axiom,
% 0.75/1.19 ( c_lessequals(c_Transcendental_Oexp(V_x,tc_RealDef_Oreal),c_Transcendental_Oexp(V_y,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 0.75/1.19 | ~ c_lessequals(V_x,V_y,tc_RealDef_Oreal) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_exp__le__cancel__iff_0,axiom,
% 0.75/1.19 ( c_lessequals(V_x,V_y,tc_RealDef_Oreal)
% 0.75/1.19 | ~ c_lessequals(c_Transcendental_Oexp(V_x,tc_RealDef_Oreal),c_Transcendental_Oexp(V_y,tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_exp__less__cancel_0,axiom,
% 0.75/1.19 ( c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal)
% 0.75/1.19 | ~ c_HOL_Oord__class_Oless(c_Transcendental_Oexp(V_x,tc_RealDef_Oreal),c_Transcendental_Oexp(V_y,tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_exp__less__mono_0,axiom,
% 0.75/1.19 ( c_HOL_Oord__class_Oless(c_Transcendental_Oexp(V_x,tc_RealDef_Oreal),c_Transcendental_Oexp(V_y,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 0.75/1.19 | ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_cos__one__sin__zero_0,axiom,
% 0.75/1.19 ( c_Transcendental_Ocos(V_x) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
% 0.75/1.19 | c_Transcendental_Osin(V_x) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_real__mult__inverse__left_0,axiom,
% 0.75/1.19 ( 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)
% 0.75/1.19 | V_x = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_abs__mult__self_0,axiom,
% 0.75/1.19 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.75/1.19 | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_a,T_a),T_a) = c_HOL_Otimes__class_Otimes(V_a,V_a,T_a) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_abs__minus__cancel_0,axiom,
% 0.75/1.19 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.75/1.19 | c_HOL_Oabs__class_Oabs(c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) = c_HOL_Oabs__class_Oabs(V_a,T_a) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_abs__mult_0,axiom,
% 0.75/1.19 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.75/1.19 | c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_abs__inverse_0,axiom,
% 0.75/1.19 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.75/1.19 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.75/1.19 | c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) = c_HOL_Oinverse__class_Oinverse(c_HOL_Oabs__class_Oabs(V_a,T_a),T_a) ) ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_real__mult__1_0,axiom,
% 0.75/1.19 c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),V_z,tc_RealDef_Oreal) = V_z ).
% 0.75/1.19
% 0.75/1.19 cnf(cls_real__mult__is__one_1,axiom,
% 0.75/1.19 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) ).
% 0.75/1.19
% 0.75/1.20 cnf(cls_real__add__mult__distrib_0,axiom,
% 0.75/1.20 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) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_abs__exp__cancel_0,axiom,
% 0.75/1.20 c_HOL_Oabs__class_Oabs(c_Transcendental_Oexp(V_x,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_Transcendental_Oexp(V_x,tc_RealDef_Oreal) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_abs__norm__cancel_0,axiom,
% 0.75/1.20 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 0.75/1.20 | c_HOL_Oabs__class_Oabs(c_RealVector_Onorm__class_Onorm(V_a,T_a),tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(V_a,T_a) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_sgn__1__neg_0,axiom,
% 0.75/1.20 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.75/1.20 | c_HOL_Osgn__class_Osgn(V_a,T_a) != c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(T_a),T_a)
% 0.75/1.20 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_sgn__neg_0,axiom,
% 0.75/1.20 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.75/1.20 | c_HOL_Osgn__class_Osgn(V_a,T_a) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(T_a),T_a)
% 0.75/1.20 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_sgn__if_2,axiom,
% 0.75/1.20 ( ~ class_Ring__and__Field_Osgn__if(T_a)
% 0.75/1.20 | c_HOL_Osgn__class_Osgn(V_x,T_a) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(T_a),T_a)
% 0.75/1.20 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a)
% 0.75/1.20 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_ln__gt__zero__imp__gt__one_0,axiom,
% 0.75/1.20 ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal)
% 0.75/1.20 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal)
% 0.75/1.20 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oln(V_x),tc_RealDef_Oreal) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_ln__gt__zero_0,axiom,
% 0.75/1.20 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oln(V_x),tc_RealDef_Oreal)
% 0.75/1.20 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_real__sgn__def_1,axiom,
% 0.75/1.20 ( c_HOL_Osgn__class_Osgn(V_x,tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
% 0.75/1.20 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal)
% 0.75/1.20 | V_x = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_ln__less__zero_0,axiom,
% 0.75/1.20 ( c_HOL_Oord__class_Oless(c_Transcendental_Oln(V_x),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 0.75/1.20 | ~ c_HOL_Oord__class_Oless(V_x,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 0.75/1.20 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_ln__less__zero__iff_0,axiom,
% 0.75/1.20 ( c_HOL_Oord__class_Oless(V_x,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 0.75/1.20 | ~ c_HOL_Oord__class_Oless(c_Transcendental_Oln(V_x),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 0.75/1.20 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_ln__eq__zero__iff_0,axiom,
% 0.75/1.20 ( c_Transcendental_Oln(V_x) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 0.75/1.20 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal)
% 0.75/1.20 | V_x = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_ln__eq__zero__iff_1,axiom,
% 0.75/1.20 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 0.75/1.20 | c_Transcendental_Oln(c_HOL_Oone__class_Oone(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_exp__less__one__iff_0,axiom,
% 0.75/1.20 ( c_HOL_Oord__class_Oless(V_x,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 0.75/1.20 | ~ c_HOL_Oord__class_Oless(c_Transcendental_Oexp(V_x,tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_exp__less__one__iff_1,axiom,
% 0.75/1.20 ( c_HOL_Oord__class_Oless(c_Transcendental_Oexp(V_x,tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 0.75/1.20 | ~ c_HOL_Oord__class_Oless(V_x,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_real__inverse__gt__one_0,axiom,
% 0.75/1.20 ( 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)
% 0.75/1.20 | ~ c_HOL_Oord__class_Oless(V_x,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 0.75/1.20 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_real__sgn__pos_0,axiom,
% 0.75/1.20 ( c_HOL_Osgn__class_Osgn(V_x,tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
% 0.75/1.20 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_real__0__le__add__iff_1,axiom,
% 0.75/1.20 ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(V_x,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 0.75/1.20 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal),V_y,tc_RealDef_Oreal) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_real__0__le__add__iff_0,axiom,
% 0.75/1.20 ( c_lessequals(c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal),V_y,tc_RealDef_Oreal)
% 0.75/1.20 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(V_x,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_real__mult__self__sum__ge__zero_0,axiom,
% 0.75/1.20 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) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_real__add__le__0__iff_1,axiom,
% 0.75/1.20 ( c_lessequals(c_HOL_Oplus__class_Oplus(V_x,V_y,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 0.75/1.20 | ~ c_lessequals(V_y,c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_real__add__le__0__iff_0,axiom,
% 0.75/1.20 ( c_lessequals(V_y,c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 0.75/1.20 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(V_x,V_y,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_real__sum__square__gt__zero_0,axiom,
% 0.75/1.20 ( 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)
% 0.75/1.20 | V_x = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_real__sum__square__gt__zero2_0,axiom,
% 0.75/1.20 ( 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)
% 0.75/1.20 | V_y = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_real__0__less__add__iff_0,axiom,
% 0.75/1.20 ( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal),V_y,tc_RealDef_Oreal)
% 0.75/1.20 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(V_x,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_real__0__less__add__iff_1,axiom,
% 0.75/1.20 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(V_x,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 0.75/1.20 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal),V_y,tc_RealDef_Oreal) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_real__less__sum__gt__zero_0,axiom,
% 0.75/1.20 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(V_S,c_HOL_Ouminus__class_Ouminus(V_W,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
% 0.75/1.20 | ~ c_HOL_Oord__class_Oless(V_W,V_S,tc_RealDef_Oreal) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_real__sum__gt__zero__less_0,axiom,
% 0.75/1.20 ( c_HOL_Oord__class_Oless(V_W,V_S,tc_RealDef_Oreal)
% 0.75/1.20 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(V_S,c_HOL_Ouminus__class_Ouminus(V_W,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_real__add__less__0__iff_0,axiom,
% 0.75/1.20 ( c_HOL_Oord__class_Oless(V_y,c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 0.75/1.20 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_x,V_y,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_real__add__less__0__iff_1,axiom,
% 0.75/1.20 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_x,V_y,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 0.75/1.20 | ~ c_HOL_Oord__class_Oless(V_y,c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_rabs__ratiotest__lemma_0,axiom,
% 0.75/1.20 ( V_x = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 0.75/1.20 | ~ c_lessequals(c_HOL_Oabs__class_Oabs(V_x,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_c,c_HOL_Oabs__class_Oabs(V_y,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
% 0.75/1.20 | ~ c_lessequals(V_c,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_real__abs__def_0,axiom,
% 0.75/1.20 ( c_HOL_Oabs__class_Oabs(V_r,tc_RealDef_Oreal) = c_HOL_Ouminus__class_Ouminus(V_r,tc_RealDef_Oreal)
% 0.75/1.20 | ~ c_HOL_Oord__class_Oless(V_r,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_abs__cos__le__one_0,axiom,
% 0.75/1.20 c_lessequals(c_HOL_Oabs__class_Oabs(c_Transcendental_Ocos(V_x),tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_abs__sin__le__one_0,axiom,
% 0.75/1.20 c_lessequals(c_HOL_Oabs__class_Oabs(c_Transcendental_Osin(V_x),tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_abs__sum__triangle__ineq_0,axiom,
% 0.75/1.20 c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_x,V_y,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_l,tc_RealDef_Oreal),c_HOL_Ouminus__class_Ouminus(V_m,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ouminus__class_Ouminus(V_l,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(V_y,c_HOL_Ouminus__class_Ouminus(V_m,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_abs__Re__le__cmod_0,axiom,
% 0.75/1.20 c_lessequals(c_HOL_Oabs__class_Oabs(c_Complex_ORe(V_x),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(V_x,tc_Complex_Ocomplex),tc_RealDef_Oreal) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_inverse__less__1__iff_0,axiom,
% 0.75/1.20 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.75/1.20 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.75/1.20 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_x,T_a)
% 0.75/1.20 | c_lessequals(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.75/1.20 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_x,T_a),c_HOL_Oone__class_Oone(T_a),T_a) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_one__le__inverse__iff_0,axiom,
% 0.75/1.20 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.75/1.20 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.75/1.20 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a)
% 0.75/1.20 | ~ c_lessequals(c_HOL_Oone__class_Oone(T_a),c_HOL_Oinverse__class_Oinverse(V_x,T_a),T_a) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_inverse__less__1__iff_1,axiom,
% 0.75/1.20 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.75/1.20 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.75/1.20 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_x,T_a),c_HOL_Oone__class_Oone(T_a),T_a)
% 0.75/1.20 | ~ c_lessequals(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_one__le__inverse__iff_2,axiom,
% 0.75/1.20 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.75/1.20 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.75/1.20 | c_lessequals(c_HOL_Oone__class_Oone(T_a),c_HOL_Oinverse__class_Oinverse(V_x,T_a),T_a)
% 0.75/1.20 | ~ c_lessequals(V_x,c_HOL_Oone__class_Oone(T_a),T_a)
% 0.75/1.20 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_r_0,axiom,
% 0.75/1.20 c_lessequals(c_RealVector_Onorm__class_Onorm(v_s(V_n),tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_ln__ge__zero__iff_0,axiom,
% 0.75/1.20 ( c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal)
% 0.75/1.20 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oln(V_x),tc_RealDef_Oreal)
% 0.75/1.20 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_ln__ge__zero__iff_1,axiom,
% 0.75/1.20 ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oln(V_x),tc_RealDef_Oreal)
% 0.75/1.20 | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal)
% 0.75/1.20 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_ln__ge__zero__imp__ge__one_0,axiom,
% 0.75/1.20 ( c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal)
% 0.75/1.20 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal)
% 0.75/1.20 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oln(V_x),tc_RealDef_Oreal) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_ln__add__one__self__le__self_0,axiom,
% 0.75/1.20 ( 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)
% 0.75/1.20 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_exp__ge__add__one__self__aux_0,axiom,
% 0.75/1.20 ( 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)
% 0.75/1.20 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_zero__le__double__add__iff__zero__le__single__add_0,axiom,
% 0.75/1.20 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.75/1.20 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.75/1.20 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),T_a) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_zero__le__double__add__iff__zero__le__single__add_1,axiom,
% 0.75/1.20 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.75/1.20 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),T_a)
% 0.75/1.20 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_abs__add__one__gt__zero_0,axiom,
% 0.75/1.20 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Oabs__class_Oabs(V_x,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_add__strict__increasing_0,axiom,
% 0.75/1.20 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.75/1.20 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.75/1.20 | c_HOL_Oord__class_Oless(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a)
% 0.75/1.20 | ~ c_lessequals(V_b,V_c,T_a)
% 0.75/1.20 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_abs__idempotent_0,axiom,
% 0.75/1.20 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.75/1.20 | c_HOL_Oabs__class_Oabs(c_HOL_Oabs__class_Oabs(V_a,T_a),T_a) = c_HOL_Oabs__class_Oabs(V_a,T_a) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_zero__less__abs__iff_1,axiom,
% 0.75/1.20 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.75/1.20 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oabs__class_Oabs(V_a,T_a),T_a)
% 0.75/1.20 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_class__semiring_Osemiring__rules_I24_J_0,axiom,
% 0.75/1.20 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.75/1.20 | c_HOL_Oplus__class_Oplus(V_a,V_c,T_a) = c_HOL_Oplus__class_Oplus(V_c,V_a,T_a) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_class__semiring_Oadd__c_0,axiom,
% 0.75/1.20 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.75/1.20 | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) = c_HOL_Oplus__class_Oplus(V_y,V_x,T_a) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_comm__monoid__add_Omult__commute_0,axiom,
% 0.75/1.20 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.75/1.20 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) = c_HOL_Oplus__class_Oplus(V_b,V_a,T_a) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_abs__ge__self_0,axiom,
% 0.75/1.20 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.75/1.20 | c_lessequals(V_a,c_HOL_Oabs__class_Oabs(V_a,T_a),T_a) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_not__one__less__zero_0,axiom,
% 0.75/1.20 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.75/1.20 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_abs__less__iff_0,axiom,
% 0.75/1.20 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.75/1.20 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.75/1.20 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_zero__le__one_0,axiom,
% 0.75/1.20 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.75/1.20 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oone__class_Oone(T_a),T_a) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_abs__add__one__not__less__self_0,axiom,
% 0.75/1.20 ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(V_x,tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_linorder__neq__iff_1,axiom,
% 0.75/1.20 ( ~ class_Orderings_Olinorder(T_a)
% 0.75/1.20 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_order__less__le_1,axiom,
% 0.75/1.20 ( ~ class_Orderings_Oorder(T_a)
% 0.75/1.20 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_real__less__def_1,axiom,
% 0.75/1.20 ~ c_HOL_Oord__class_Oless(V_x,V_x,tc_RealDef_Oreal) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_order__less__irrefl_0,axiom,
% 0.75/1.20 ( ~ class_Orderings_Opreorder(T_a)
% 0.75/1.20 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_less__le__not__le_2,axiom,
% 0.75/1.20 ( ~ class_Orderings_Opreorder(T_a)
% 0.75/1.20 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.75/1.20 | c_lessequals(V_y,V_x,T_a)
% 0.75/1.20 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_add__pos__pos_0,axiom,
% 0.75/1.20 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.75/1.20 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a)
% 0.75/1.20 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.75/1.20 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_not__one__le__zero_0,axiom,
% 0.75/1.20 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.75/1.20 | ~ c_lessequals(c_HOL_Oone__class_Oone(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_add__strict__mono_0,axiom,
% 0.75/1.20 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 0.75/1.20 | 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)
% 0.75/1.20 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a)
% 0.75/1.20 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_order__le__less_1,axiom,
% 0.75/1.20 ( ~ class_Orderings_Oorder(T_a)
% 0.75/1.20 | c_lessequals(V_x,V_y,T_a)
% 0.75/1.20 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_real__less__def_0,axiom,
% 0.75/1.20 ( c_lessequals(V_x,V_y,tc_RealDef_Oreal)
% 0.75/1.20 | ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_order__less__imp__le_0,axiom,
% 0.75/1.20 ( ~ class_Orderings_Opreorder(T_a)
% 0.75/1.20 | c_lessequals(V_x,V_y,T_a)
% 0.75/1.20 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_abs__not__less__zero_0,axiom,
% 0.75/1.20 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.75/1.20 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_zero__less__one_0,axiom,
% 0.75/1.20 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.75/1.20 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oone__class_Oone(T_a),T_a) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_double__add__le__zero__iff__single__add__le__zero_0,axiom,
% 0.75/1.20 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.75/1.20 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.75/1.20 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_double__add__le__zero__iff__single__add__le__zero_1,axiom,
% 0.75/1.20 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.75/1.20 | c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.75/1.20 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_real__abs__def_1,axiom,
% 0.75/1.20 ( c_HOL_Oabs__class_Oabs(V_r,tc_RealDef_Oreal) = V_r
% 0.75/1.20 | c_HOL_Oord__class_Oless(V_r,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_abs__if__lattice_1,axiom,
% 0.75/1.20 ( ~ class_Orderings_Olinorder(T_a)
% 0.75/1.20 | ~ class_OrderedGroup_Olordered__ab__group__add__abs(T_a)
% 0.75/1.20 | c_HOL_Oabs__class_Oabs(V_a,T_a) = V_a
% 0.75/1.20 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_abs__if_1,axiom,
% 0.75/1.20 ( ~ class_Ring__and__Field_Oabs__if(T_a)
% 0.75/1.20 | c_HOL_Oabs__class_Oabs(V_a,T_a) = V_a
% 0.75/1.20 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_abs__add__abs_0,axiom,
% 0.75/1.20 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.75/1.20 | c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_abs__eq__0_0,axiom,
% 0.75/1.20 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.75/1.20 | c_HOL_Oabs__class_Oabs(V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.75/1.20 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_zero__less__abs__iff_0,axiom,
% 0.75/1.20 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.75/1.20 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(T_a),T_a),T_a) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_add__less__cancel__left_0,axiom,
% 0.75/1.20 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.75/1.20 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.75/1.20 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_c,V_a,T_a),c_HOL_Oplus__class_Oplus(V_c,V_b,T_a),T_a) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_add__less__cancel__left_1,axiom,
% 0.75/1.20 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.75/1.20 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_c,V_a,T_a),c_HOL_Oplus__class_Oplus(V_c,V_b,T_a),T_a)
% 0.75/1.20 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_add__strict__left__mono_0,axiom,
% 0.75/1.20 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 0.75/1.20 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_c,V_a,T_a),c_HOL_Oplus__class_Oplus(V_c,V_b,T_a),T_a)
% 0.75/1.20 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_add__less__cancel__right_0,axiom,
% 0.75/1.20 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.75/1.20 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.75/1.20 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_add__less__cancel__right_1,axiom,
% 0.75/1.20 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.75/1.20 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a)
% 0.75/1.20 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_add__strict__right__mono_0,axiom,
% 0.75/1.20 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 0.75/1.20 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a)
% 0.75/1.20 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_order__eq__refl_0,axiom,
% 0.75/1.20 ( ~ class_Orderings_Opreorder(T_a)
% 0.75/1.20 | c_lessequals(V_x,V_x,T_a) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_order__eq__iff_0,axiom,
% 0.75/1.20 ( ~ class_Orderings_Oorder(T_a)
% 0.75/1.20 | c_lessequals(V_x,V_x,T_a) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_real__le__trans_0,axiom,
% 0.75/1.20 ( c_lessequals(V_i,V_k,tc_RealDef_Oreal)
% 0.75/1.20 | ~ c_lessequals(V_j,V_k,tc_RealDef_Oreal)
% 0.75/1.20 | ~ c_lessequals(V_i,V_j,tc_RealDef_Oreal) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_real__le__refl_0,axiom,
% 0.75/1.20 c_lessequals(V_w,V_w,tc_RealDef_Oreal) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_order__le__less__trans_0,axiom,
% 0.75/1.20 ( ~ class_Orderings_Opreorder(T_a)
% 0.75/1.20 | c_HOL_Oord__class_Oless(V_x,V_z,T_a)
% 0.75/1.20 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a)
% 0.75/1.20 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_order__less__le__trans_0,axiom,
% 0.75/1.20 ( ~ class_Orderings_Opreorder(T_a)
% 0.75/1.20 | c_HOL_Oord__class_Oless(V_x,V_z,T_a)
% 0.75/1.20 | ~ c_lessequals(V_y,V_z,T_a)
% 0.75/1.20 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_le__add__right__mono_0,axiom,
% 0.75/1.20 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.75/1.20 | c_lessequals(V_a,c_HOL_Oplus__class_Oplus(V_b,V_d,T_a),T_a)
% 0.75/1.20 | ~ c_lessequals(V_c,V_d,T_a)
% 0.75/1.20 | ~ c_lessequals(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_order__trans_0,axiom,
% 0.75/1.20 ( ~ class_Orderings_Opreorder(T_a)
% 0.75/1.20 | c_lessequals(V_x,V_z,T_a)
% 0.75/1.20 | ~ c_lessequals(V_y,V_z,T_a)
% 0.75/1.20 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_add__nonpos__nonpos_0,axiom,
% 0.75/1.20 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.75/1.20 | c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.75/1.20 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.75/1.20 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_xt1_I8_J_0,axiom,
% 0.75/1.20 ( ~ class_Orderings_Oorder(T_a)
% 0.75/1.20 | c_HOL_Oord__class_Oless(V_z,V_x,T_a)
% 0.75/1.20 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a)
% 0.75/1.20 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_xt1_I7_J_0,axiom,
% 0.75/1.20 ( ~ class_Orderings_Oorder(T_a)
% 0.75/1.20 | c_HOL_Oord__class_Oless(V_z,V_x,T_a)
% 0.75/1.20 | ~ c_lessequals(V_z,V_y,T_a)
% 0.75/1.20 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_xt1_I6_J_0,axiom,
% 0.75/1.20 ( ~ class_Orderings_Oorder(T_a)
% 0.75/1.20 | c_lessequals(V_z,V_x,T_a)
% 0.75/1.20 | ~ c_lessequals(V_z,V_y,T_a)
% 0.75/1.20 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_abs__ge__zero_0,axiom,
% 0.75/1.20 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.75/1.20 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oabs__class_Oabs(V_a,T_a),T_a) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_order__less__asym_H_0,axiom,
% 0.75/1.20 ( ~ class_Orderings_Opreorder(T_a)
% 0.75/1.20 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.75/1.20 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_order__less__asym_0,axiom,
% 0.75/1.20 ( ~ class_Orderings_Opreorder(T_a)
% 0.75/1.20 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.75/1.20 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_linorder__linear_0,axiom,
% 0.75/1.20 ( ~ class_Orderings_Olinorder(T_a)
% 0.75/1.20 | c_lessequals(V_y,V_x,T_a)
% 0.75/1.20 | c_lessequals(V_x,V_y,T_a) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_real__le__linear_0,axiom,
% 0.75/1.20 ( c_lessequals(V_w,V_z,tc_RealDef_Oreal)
% 0.75/1.20 | c_lessequals(V_z,V_w,tc_RealDef_Oreal) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_not__less__iff__gr__or__eq_1,axiom,
% 0.75/1.20 ( ~ class_Orderings_Olinorder(T_a)
% 0.75/1.20 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.75/1.20 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_xt1_I9_J_0,axiom,
% 0.75/1.20 ( ~ class_Orderings_Oorder(T_a)
% 0.75/1.20 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.75/1.20 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_add__mono_0,axiom,
% 0.75/1.20 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a)
% 0.75/1.20 | 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)
% 0.75/1.20 | ~ c_lessequals(V_c,V_d,T_a)
% 0.75/1.20 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_add__nonneg__nonneg_0,axiom,
% 0.75/1.20 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.75/1.20 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a)
% 0.75/1.20 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.75/1.20 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_add__cancel__21_0,axiom,
% 0.75/1.20 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.75/1.20 | c_HOL_Oplus__class_Oplus(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a) != c_HOL_Oplus__class_Oplus(V_y,V_u,T_a)
% 0.75/1.20 | c_HOL_Oplus__class_Oplus(V_x,V_z,T_a) = V_u ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_zero__neq__one_0,axiom,
% 0.75/1.20 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a)
% 0.75/1.20 | c_HOL_Ozero__class_Ozero(T_a) != c_HOL_Oone__class_Oone(T_a) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_real__zero__not__eq__one_0,axiom,
% 0.75/1.20 c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_add__pos__nonneg_0,axiom,
% 0.75/1.20 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.75/1.20 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a)
% 0.75/1.20 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.75/1.20 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_add__nonneg__pos_0,axiom,
% 0.75/1.20 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.75/1.20 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a)
% 0.75/1.20 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.75/1.20 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_abs__le__zero__iff_1,axiom,
% 0.75/1.20 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.75/1.20 | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(T_a),T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_add__right__cancel_0,axiom,
% 0.75/1.20 ( ~ class_OrderedGroup_Ocancel__semigroup__add(T_a)
% 0.75/1.20 | c_HOL_Oplus__class_Oplus(V_b,V_a,T_a) != c_HOL_Oplus__class_Oplus(V_c,V_a,T_a)
% 0.75/1.20 | V_b = V_c ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_add__left__cancel_0,axiom,
% 0.75/1.20 ( ~ class_OrderedGroup_Ocancel__semigroup__add(T_a)
% 0.75/1.20 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) != c_HOL_Oplus__class_Oplus(V_a,V_c,T_a)
% 0.75/1.20 | V_b = V_c ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_add__imp__eq_0,axiom,
% 0.75/1.20 ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(T_a)
% 0.75/1.20 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) != c_HOL_Oplus__class_Oplus(V_a,V_c,T_a)
% 0.75/1.20 | V_b = V_c ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_class__ringb_Oadd__cancel_0,axiom,
% 0.75/1.20 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.75/1.20 | ~ class_Int_Onumber__ring(T_a)
% 0.75/1.20 | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) != c_HOL_Oplus__class_Oplus(V_x,V_z,T_a)
% 0.75/1.20 | V_y = V_z ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_class__semiring_Osemiring__rules_I20_J_0,axiom,
% 0.75/1.20 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.75/1.20 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Oplus__class_Oplus(V_c,V_d,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_d,T_a),T_a) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_zero__less__two_0,axiom,
% 0.75/1.20 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.75/1.20 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(T_a),c_HOL_Oone__class_Oone(T_a),T_a),T_a) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_abs__one_0,axiom,
% 0.75/1.20 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.75/1.20 | c_HOL_Oabs__class_Oabs(c_HOL_Oone__class_Oone(T_a),T_a) = c_HOL_Oone__class_Oone(T_a) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_zero__less__double__add__iff__zero__less__single__add_1,axiom,
% 0.75/1.20 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.75/1.20 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),T_a)
% 0.75/1.20 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_zero__less__double__add__iff__zero__less__single__add_0,axiom,
% 0.75/1.20 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.75/1.20 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.75/1.20 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),T_a) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_xt1_I11_J_0,axiom,
% 0.75/1.20 ( ~ class_Orderings_Oorder(T_a)
% 0.75/1.20 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.75/1.20 | V_a = V_b
% 0.75/1.20 | ~ c_lessequals(V_b,V_a,T_a) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_xt1_I12_J_0,axiom,
% 0.75/1.20 ( ~ class_Orderings_Oorder(T_a)
% 0.75/1.20 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.75/1.20 | ~ c_lessequals(V_b,V_a,T_a)
% 0.75/1.20 | V_a = V_b ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_linorder__antisym__conv2_0,axiom,
% 0.75/1.20 ( ~ class_Orderings_Olinorder(T_a)
% 0.75/1.20 | V_x = V_y
% 0.75/1.20 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.75/1.20 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_linorder__antisym__conv1_0,axiom,
% 0.75/1.20 ( ~ class_Orderings_Olinorder(T_a)
% 0.75/1.20 | V_x = V_y
% 0.75/1.20 | ~ c_lessequals(V_x,V_y,T_a)
% 0.75/1.20 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_order__neq__le__trans_0,axiom,
% 0.75/1.20 ( ~ class_Orderings_Oorder(T_a)
% 0.75/1.20 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.75/1.20 | ~ c_lessequals(V_a,V_b,T_a)
% 0.75/1.20 | V_a = V_b ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_order__le__neq__trans_0,axiom,
% 0.75/1.20 ( ~ class_Orderings_Oorder(T_a)
% 0.75/1.20 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.75/1.20 | V_a = V_b
% 0.75/1.20 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_real__less__def_2,axiom,
% 0.75/1.20 ( c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal)
% 0.75/1.20 | V_x = V_y
% 0.75/1.20 | ~ c_lessequals(V_x,V_y,tc_RealDef_Oreal) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_order__le__less_0,axiom,
% 0.75/1.20 ( ~ class_Orderings_Oorder(T_a)
% 0.75/1.20 | V_x = V_y
% 0.75/1.20 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.75/1.20 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_order__less__le_2,axiom,
% 0.75/1.20 ( ~ class_Orderings_Oorder(T_a)
% 0.75/1.20 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.75/1.20 | V_x = V_y
% 0.75/1.20 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_rp_0,axiom,
% 0.75/1.20 c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_r,tc_RealDef_Oreal) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_th_0,axiom,
% 0.75/1.20 c_lessequals(c_HOL_Oabs__class_Oabs(c_Complex_ORe(v_s(V_n)),tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(v_r,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_pos__add__strict_0,axiom,
% 0.75/1.20 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.75/1.20 | c_HOL_Oord__class_Oless(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a)
% 0.75/1.20 | ~ c_HOL_Oord__class_Oless(V_b,V_c,T_a)
% 0.75/1.20 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_less__add__one_0,axiom,
% 0.75/1.20 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.75/1.20 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oone__class_Oone(T_a),T_a),T_a) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_add__le__cancel__right_1,axiom,
% 0.75/1.20 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.75/1.20 | 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)
% 0.75/1.20 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_add__le__cancel__right_0,axiom,
% 0.75/1.20 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.75/1.20 | c_lessequals(V_a,V_b,T_a)
% 0.75/1.20 | ~ 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) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_add__le__cancel__left_1,axiom,
% 0.75/1.20 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.75/1.20 | 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)
% 0.75/1.20 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_add__le__cancel__left_0,axiom,
% 0.75/1.20 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.75/1.20 | c_lessequals(V_a,V_b,T_a)
% 0.75/1.20 | ~ 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) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_add__right__mono_0,axiom,
% 0.75/1.20 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a)
% 0.75/1.20 | 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)
% 0.75/1.20 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_add__left__mono_0,axiom,
% 0.75/1.20 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a)
% 0.75/1.20 | 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)
% 0.75/1.20 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_real__add__left__mono_0,axiom,
% 0.75/1.20 ( 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)
% 0.75/1.20 | ~ c_lessequals(V_x,V_y,tc_RealDef_Oreal) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_abs__of__nonneg_0,axiom,
% 0.75/1.20 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.75/1.20 | c_HOL_Oabs__class_Oabs(V_a,T_a) = V_a
% 0.75/1.20 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_linorder__neqE__ordered__idom_0,axiom,
% 0.75/1.20 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.75/1.20 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.75/1.20 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.75/1.20 | V_x = V_y ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_not__less__iff__gr__or__eq_0,axiom,
% 0.75/1.20 ( ~ class_Orderings_Olinorder(T_a)
% 0.75/1.20 | V_x = V_y
% 0.75/1.20 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.75/1.20 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_linorder__antisym__conv3_0,axiom,
% 0.75/1.20 ( ~ class_Orderings_Olinorder(T_a)
% 0.75/1.20 | V_x = V_y
% 0.75/1.20 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.75/1.20 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_linorder__less__linear_0,axiom,
% 0.75/1.20 ( ~ class_Orderings_Olinorder(T_a)
% 0.75/1.20 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.75/1.20 | V_x = V_y
% 0.75/1.20 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_order__antisym__conv_0,axiom,
% 0.75/1.20 ( ~ class_Orderings_Oorder(T_a)
% 0.75/1.20 | V_x = V_y
% 0.75/1.20 | ~ c_lessequals(V_x,V_y,T_a)
% 0.75/1.20 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_order__eq__iff_2,axiom,
% 0.75/1.20 ( ~ class_Orderings_Oorder(T_a)
% 0.75/1.20 | V_x = V_y
% 0.75/1.20 | ~ c_lessequals(V_y,V_x,T_a)
% 0.75/1.20 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_linorder__neqE_0,axiom,
% 0.75/1.20 ( ~ class_Orderings_Olinorder(T_a)
% 0.75/1.20 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.75/1.20 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.75/1.20 | V_x = V_y ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_order__antisym_0,axiom,
% 0.75/1.20 ( ~ class_Orderings_Oorder(T_a)
% 0.75/1.20 | V_x = V_y
% 0.75/1.20 | ~ c_lessequals(V_y,V_x,T_a)
% 0.75/1.20 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_real__le__antisym_0,axiom,
% 0.75/1.20 ( V_z = V_w
% 0.75/1.20 | ~ c_lessequals(V_w,V_z,tc_RealDef_Oreal)
% 0.75/1.20 | ~ c_lessequals(V_z,V_w,tc_RealDef_Oreal) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_estimate__by__abs_0,axiom,
% 0.75/1.20 ( ~ class_OrderedGroup_Olordered__ab__group__add__abs(T_a)
% 0.75/1.20 | c_lessequals(V_a,c_HOL_Oplus__class_Oplus(V_c,c_HOL_Oabs__class_Oabs(V_b,T_a),T_a),T_a)
% 0.75/1.20 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_abs__le__zero__iff_0,axiom,
% 0.75/1.20 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.75/1.20 | V_a = c_HOL_Ozero__class_Ozero(T_a)
% 0.75/1.20 | ~ c_lessequals(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_add__nonpos__neg_0,axiom,
% 0.75/1.20 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.75/1.20 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.75/1.20 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.75/1.20 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_add__neg__nonpos_0,axiom,
% 0.75/1.20 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.75/1.20 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.75/1.20 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.75/1.20 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_one__neq__zero_0,axiom,
% 0.75/1.20 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a)
% 0.75/1.20 | c_HOL_Oone__class_Oone(T_a) != c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_double__add__less__zero__iff__single__less__zero_1,axiom,
% 0.75/1.20 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.75/1.20 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.75/1.20 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_double__add__less__zero__iff__single__less__zero_0,axiom,
% 0.75/1.20 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.75/1.20 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.75/1.20 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_even__less__0__iff_0,axiom,
% 0.75/1.20 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.75/1.20 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.75/1.20 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_even__less__0__iff_1,axiom,
% 0.75/1.20 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.75/1.20 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.75/1.20 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_add__nonneg__eq__0__iff_1,axiom,
% 0.75/1.20 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.75/1.20 | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.75/1.20 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)
% 0.75/1.20 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a)
% 0.75/1.20 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_add__nonneg__eq__0__iff_0,axiom,
% 0.75/1.20 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.75/1.20 | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.75/1.20 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)
% 0.75/1.20 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a)
% 0.75/1.20 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_double__eq__0__iff_0,axiom,
% 0.75/1.20 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.75/1.20 | c_HOL_Oplus__class_Oplus(V_a,V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.75/1.20 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_class__ringb_Oadd__r0__iff_0,axiom,
% 0.75/1.20 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.75/1.20 | ~ class_Int_Onumber__ring(T_a)
% 0.75/1.20 | V_x != c_HOL_Oplus__class_Oplus(V_x,V_a,T_a)
% 0.75/1.20 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_add__increasing2_0,axiom,
% 0.75/1.20 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.75/1.20 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.75/1.20 | c_lessequals(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a)
% 0.75/1.20 | ~ c_lessequals(V_b,V_a,T_a)
% 0.75/1.20 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_add__increasing_0,axiom,
% 0.75/1.20 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.75/1.20 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.75/1.20 | c_lessequals(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a)
% 0.75/1.20 | ~ c_lessequals(V_b,V_c,T_a)
% 0.75/1.20 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_abs__le__D1_0,axiom,
% 0.75/1.20 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.75/1.20 | c_lessequals(V_a,V_b,T_a)
% 0.75/1.20 | ~ c_lessequals(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_abs__le__interval__iff_1,axiom,
% 0.75/1.20 ( c_lessequals(V_x,V_r,tc_RealDef_Oreal)
% 0.75/1.20 | ~ c_lessequals(c_HOL_Oabs__class_Oabs(V_x,tc_RealDef_Oreal),V_r,tc_RealDef_Oreal) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_add__nonneg__eq__0__iff_2,axiom,
% 0.75/1.20 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.75/1.20 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.75/1.20 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.75/1.20 | 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) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_double__eq__0__iff_1,axiom,
% 0.75/1.20 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.75/1.20 | 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) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_xt1_I10_J_0,axiom,
% 0.75/1.20 ( ~ class_Orderings_Oorder(T_a)
% 0.75/1.20 | c_HOL_Oord__class_Oless(V_z,V_x,T_a)
% 0.75/1.20 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a)
% 0.75/1.20 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_order__less__trans_0,axiom,
% 0.75/1.20 ( ~ class_Orderings_Opreorder(T_a)
% 0.75/1.20 | c_HOL_Oord__class_Oless(V_x,V_z,T_a)
% 0.75/1.20 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a)
% 0.75/1.20 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_abs__eq__0_1,axiom,
% 0.75/1.20 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.75/1.20 | c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_comm__monoid__add_Omult__left__commute_0,axiom,
% 0.75/1.20 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.75/1.20 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) = c_HOL_Oplus__class_Oplus(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_comm__monoid__add_Omult__assoc_0,axiom,
% 0.75/1.20 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.75/1.20 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_class__semiring_Oadd__a_0,axiom,
% 0.75/1.20 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.75/1.20 | c_HOL_Oplus__class_Oplus(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_x,V_y,T_a),V_z,T_a) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_add__cancel__21_1,axiom,
% 0.75/1.20 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.75/1.20 | c_HOL_Oplus__class_Oplus(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a) = c_HOL_Oplus__class_Oplus(V_y,c_HOL_Oplus__class_Oplus(V_x,V_z,T_a),T_a) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_ab__semigroup__add__class_Oadd__ac_I1_J_0,axiom,
% 0.75/1.20 ( ~ class_OrderedGroup_Oab__semigroup__add(T_a)
% 0.75/1.20 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_class__semiring_Osemiring__rules_I25_J_0,axiom,
% 0.75/1.20 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.75/1.20 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(V_c,V_d,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),V_d,T_a) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_class__semiring_Osemiring__rules_I23_J_0,axiom,
% 0.75/1.20 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.75/1.20 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),V_b,T_a) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_class__semiring_Osemiring__rules_I22_J_0,axiom,
% 0.75/1.20 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.75/1.20 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(V_c,V_d,T_a),T_a) = c_HOL_Oplus__class_Oplus(V_c,c_HOL_Oplus__class_Oplus(V_a,V_d,T_a),T_a) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_class__semiring_Osemiring__rules_I21_J_0,axiom,
% 0.75/1.20 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.75/1.20 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_abs__triangle__ineq_0,axiom,
% 0.75/1.20 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.75/1.20 | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a),T_a) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_less__le__not__le_1,axiom,
% 0.75/1.20 ( ~ class_Orderings_Opreorder(T_a)
% 0.75/1.20 | ~ c_lessequals(V_y,V_x,T_a)
% 0.75/1.20 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_not__leE_0,axiom,
% 0.75/1.20 ( ~ class_Orderings_Olinorder(T_a)
% 0.75/1.20 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.75/1.20 | c_lessequals(V_y,V_x,T_a) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_linorder__antisym__conv2_1,axiom,
% 0.75/1.20 ( ~ class_Orderings_Olinorder(T_a)
% 0.75/1.20 | ~ c_lessequals(V_x,V_x,T_a)
% 0.75/1.20 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_linorder__antisym__conv1_1,axiom,
% 0.75/1.20 ( ~ class_Orderings_Olinorder(T_a)
% 0.75/1.20 | c_HOL_Oord__class_Oless(V_x,V_x,T_a)
% 0.75/1.20 | c_lessequals(V_x,V_x,T_a) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_linorder__not__less_1,axiom,
% 0.75/1.20 ( ~ class_Orderings_Olinorder(T_a)
% 0.75/1.20 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.75/1.20 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_linorder__not__less_0,axiom,
% 0.75/1.20 ( ~ class_Orderings_Olinorder(T_a)
% 0.75/1.20 | c_lessequals(V_y,V_x,T_a)
% 0.75/1.20 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_linorder__not__le_0,axiom,
% 0.75/1.20 ( ~ class_Orderings_Olinorder(T_a)
% 0.75/1.20 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.75/1.20 | c_lessequals(V_x,V_y,T_a) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_linorder__not__le_1,axiom,
% 0.75/1.20 ( ~ class_Orderings_Olinorder(T_a)
% 0.75/1.20 | ~ c_lessequals(V_x,V_y,T_a)
% 0.75/1.20 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_add__strict__increasing2_0,axiom,
% 0.75/1.20 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.75/1.20 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.75/1.20 | c_HOL_Oord__class_Oless(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a)
% 0.75/1.20 | ~ c_HOL_Oord__class_Oless(V_b,V_c,T_a)
% 0.75/1.20 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_add__neg__neg_0,axiom,
% 0.75/1.20 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.75/1.20 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.75/1.20 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.75/1.20 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_abs__of__pos_0,axiom,
% 0.75/1.20 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.75/1.20 | c_HOL_Oabs__class_Oabs(V_a,T_a) = V_a
% 0.75/1.20 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_monoid__add__class_Oadd__0__right_0,axiom,
% 0.75/1.20 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 0.75/1.20 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_add__0__left_0,axiom,
% 0.75/1.20 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 0.75/1.20 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = V_a ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_comm__monoid__add_Omult__1__right_0,axiom,
% 0.75/1.20 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.75/1.20 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_class__ringb_Oadd__r0__iff_1,axiom,
% 0.75/1.20 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.75/1.20 | ~ class_Int_Onumber__ring(T_a)
% 0.75/1.20 | V_x = c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_class__semiring_Oadd__0_0,axiom,
% 0.75/1.20 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.75/1.20 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) = V_x ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_comm__monoid__add_Omult__1_0,axiom,
% 0.75/1.20 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.75/1.20 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = V_a ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_class__semiring_Osemiring__rules_I6_J_0,axiom,
% 0.75/1.20 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.75/1.20 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_class__semiring_Osemiring__rules_I5_J_0,axiom,
% 0.75/1.20 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.75/1.20 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = V_a ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_add__less__le__mono_0,axiom,
% 0.75/1.20 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 0.75/1.20 | 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)
% 0.75/1.20 | ~ c_lessequals(V_c,V_d,T_a)
% 0.75/1.20 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_add__le__less__mono_0,axiom,
% 0.75/1.20 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 0.75/1.20 | 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)
% 0.75/1.20 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a)
% 0.75/1.20 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_CHAINED_0,axiom,
% 0.75/1.20 c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_r,tc_RealDef_Oreal) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_CHAINED_0_01,axiom,
% 0.75/1.20 c_lessequals(c_HOL_Oabs__class_Oabs(c_Complex_ORe(v_s(V_n)),tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(v_r,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ).
% 0.75/1.20
% 0.75/1.20 cnf(cls_conjecture_0,negated_conjecture,
% 0.75/1.20 ( ~ c_lessequals(c_HOL_Oabs__class_Oabs(c_Complex_ORe(v_s(v_f____(v_x))),tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(v_r,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
% 0.75/1.20 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(v_r,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 0.75/1.20
% 0.75/1.20 cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__cancel__ab__semigroup__add,axiom,
% 0.75/1.20 class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_RealDef_Oreal) ).
% 0.75/1.20
% 0.75/1.20 cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__semigroup__add__imp__le,axiom,
% 0.75/1.20 class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal) ).
% 0.75/1.20
% 0.75/1.20 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__comm__semiring__strict,axiom,
% 0.75/1.20 class_Ring__and__Field_Oordered__comm__semiring__strict(tc_RealDef_Oreal) ).
% 0.75/1.20
% 0.75/1.20 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Opordered__cancel__semiring,axiom,
% 0.75/1.20 class_Ring__and__Field_Opordered__cancel__semiring(tc_RealDef_Oreal) ).
% 0.75/1.20
% 0.75/1.20 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__semiring__strict,axiom,
% 0.75/1.20 class_Ring__and__Field_Oordered__semiring__strict(tc_RealDef_Oreal) ).
% 0.75/1.20
% 0.75/1.20 cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__semigroup__add,axiom,
% 0.75/1.20 class_OrderedGroup_Opordered__ab__semigroup__add(tc_RealDef_Oreal) ).
% 0.75/1.20
% 0.75/1.20 cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__group__add__abs,axiom,
% 0.75/1.20 class_OrderedGroup_Opordered__ab__group__add__abs(tc_RealDef_Oreal) ).
% 0.75/1.20
% 0.75/1.20 cnf(clsarity_RealDef__Oreal__OrderedGroup_Olordered__ab__group__add__abs,axiom,
% 0.75/1.20 class_OrderedGroup_Olordered__ab__group__add__abs(tc_RealDef_Oreal) ).
% 0.75/1.20
% 0.75/1.20 cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__comm__monoid__add,axiom,
% 0.75/1.20 class_OrderedGroup_Opordered__comm__monoid__add(tc_RealDef_Oreal) ).
% 0.75/1.20
% 0.75/1.20 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oring__no__zero__divisors,axiom,
% 0.75/1.20 class_Ring__and__Field_Oring__no__zero__divisors(tc_RealDef_Oreal) ).
% 0.75/1.20
% 0.75/1.20 cnf(clsarity_RealDef__Oreal__OrderedGroup_Ocancel__ab__semigroup__add,axiom,
% 0.75/1.20 class_OrderedGroup_Ocancel__ab__semigroup__add(tc_RealDef_Oreal) ).
% 0.75/1.20
% 0.75/1.20 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__ring__strict,axiom,
% 0.75/1.20 class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal) ).
% 0.75/1.20
% 0.75/1.20 cnf(clsarity_RealDef__Oreal__RealVector_Oreal__normed__div__algebra,axiom,
% 0.75/1.20 class_RealVector_Oreal__normed__div__algebra(tc_RealDef_Oreal) ).
% 0.75/1.20
% 0.75/1.20 cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__group__add,axiom,
% 0.75/1.20 class_OrderedGroup_Opordered__ab__group__add(tc_RealDef_Oreal) ).
% 0.75/1.20
% 0.75/1.20 cnf(clsarity_RealDef__Oreal__OrderedGroup_Olordered__ab__group__add,axiom,
% 0.75/1.20 class_OrderedGroup_Olordered__ab__group__add(tc_RealDef_Oreal) ).
% 0.75/1.20
% 0.75/1.20 cnf(clsarity_RealDef__Oreal__OrderedGroup_Oordered__ab__group__add,axiom,
% 0.75/1.20 class_OrderedGroup_Oordered__ab__group__add(tc_RealDef_Oreal) ).
% 0.75/1.20
% 0.75/1.20 cnf(clsarity_RealDef__Oreal__OrderedGroup_Ocancel__semigroup__add,axiom,
% 0.75/1.20 class_OrderedGroup_Ocancel__semigroup__add(tc_RealDef_Oreal) ).
% 0.75/1.20
% 0.75/1.20 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Opordered__semiring,axiom,
% 0.75/1.20 class_Ring__and__Field_Opordered__semiring(tc_RealDef_Oreal) ).
% 0.75/1.20
% 0.75/1.20 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Opordered__ring__abs,axiom,
% 0.75/1.20 class_Ring__and__Field_Opordered__ring__abs(tc_RealDef_Oreal) ).
% 0.75/1.20
% 0.75/1.20 cnf(clsarity_RealDef__Oreal__RealVector_Oreal__normed__algebra__1,axiom,
% 0.75/1.20 class_RealVector_Oreal__normed__algebra__1(tc_RealDef_Oreal) ).
% 0.75/1.20
% 0.75/1.20 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__semiring,axiom,
% 0.75/1.20 class_Ring__and__Field_Oordered__semiring(tc_RealDef_Oreal) ).
% 0.75/1.20
% 0.75/1.20 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ono__zero__divisors,axiom,
% 0.75/1.20 class_Ring__and__Field_Ono__zero__divisors(tc_RealDef_Oreal) ).
% 0.75/1.20
% 0.75/1.20 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Odivision__by__zero,axiom,
% 0.75/1.20 class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal) ).
% 0.75/1.20
% 0.75/1.20 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__semidom,axiom,
% 0.75/1.20 class_Ring__and__Field_Oordered__semidom(tc_RealDef_Oreal) ).
% 0.75/1.20
% 0.75/1.20 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring__1,axiom,
% 0.75/1.20 class_Ring__and__Field_Ocomm__semiring__1(tc_RealDef_Oreal) ).
% 0.75/1.20
% 0.75/1.20 cnf(clsarity_RealDef__Oreal__RealVector_Oreal__normed__algebra,axiom,
% 0.75/1.20 class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal) ).
% 0.75/1.20
% 0.75/1.20 cnf(clsarity_RealDef__Oreal__OrderedGroup_Oab__semigroup__mult,axiom,
% 0.75/1.20 class_OrderedGroup_Oab__semigroup__mult(tc_RealDef_Oreal) ).
% 0.75/1.20
% 0.75/1.20 cnf(clsarity_RealDef__Oreal__RealVector_Oreal__normed__vector,axiom,
% 0.75/1.20 class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal) ).
% 0.75/1.20
% 0.75/1.20 cnf(clsarity_RealDef__Oreal__OrderedGroup_Ocomm__monoid__mult,axiom,
% 0.75/1.20 class_OrderedGroup_Ocomm__monoid__mult(tc_RealDef_Oreal) ).
% 0.75/1.20
% 0.75/1.20 cnf(clsarity_RealDef__Oreal__OrderedGroup_Oab__semigroup__add,axiom,
% 0.75/1.20 class_OrderedGroup_Oab__semigroup__add(tc_RealDef_Oreal) ).
% 0.75/1.20
% 0.75/1.20 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Opordered__ring,axiom,
% 0.75/1.20 class_Ring__and__Field_Opordered__ring(tc_RealDef_Oreal) ).
% 0.75/1.20
% 0.75/1.20 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__field,axiom,
% 0.75/1.20 class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal) ).
% 0.75/1.20
% 0.75/1.20 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Olordered__ring,axiom,
% 0.75/1.20 class_Ring__and__Field_Olordered__ring(tc_RealDef_Oreal) ).
% 0.75/1.20
% 0.75/1.20 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Odivision__ring,axiom,
% 0.75/1.20 class_Ring__and__Field_Odivision__ring(tc_RealDef_Oreal) ).
% 0.75/1.20
% 0.75/1.20 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring,axiom,
% 0.75/1.20 class_Ring__and__Field_Ocomm__semiring(tc_RealDef_Oreal) ).
% 0.75/1.20
% 0.75/1.20 cnf(clsarity_RealDef__Oreal__RealVector_Oreal__normed__field,axiom,
% 0.75/1.20 class_RealVector_Oreal__normed__field(tc_RealDef_Oreal) ).
% 0.75/1.20
% 0.75/1.20 cnf(clsarity_RealDef__Oreal__OrderedGroup_Ocomm__monoid__add,axiom,
% 0.75/1.20 class_OrderedGroup_Ocomm__monoid__add(tc_RealDef_Oreal) ).
% 0.75/1.20
% 0.75/1.20 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ozero__neq__one,axiom,
% 0.75/1.20 class_Ring__and__Field_Ozero__neq__one(tc_RealDef_Oreal) ).
% 0.75/1.20
% 0.75/1.20 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__idom,axiom,
% 0.75/1.20 class_Ring__and__Field_Oordered__idom(tc_RealDef_Oreal) ).
% 0.75/1.20
% 0.75/1.20 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Omult__mono1,axiom,
% 0.75/1.20 class_Ring__and__Field_Omult__mono1(tc_RealDef_Oreal) ).
% 0.75/1.20
% 0.75/1.20 cnf(clsarity_RealDef__Oreal__OrderedGroup_Oab__group__add,axiom,
% 0.75/1.20 class_OrderedGroup_Oab__group__add(tc_RealDef_Oreal) ).
% 0.75/1.20
% 0.75/1.20 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Omult__zero,axiom,
% 0.75/1.20 class_Ring__and__Field_Omult__zero(tc_RealDef_Oreal) ).
% 0.75/1.20
% 0.75/1.20 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Omult__mono,axiom,
% 0.75/1.20 class_Ring__and__Field_Omult__mono(tc_RealDef_Oreal) ).
% 0.75/1.20
% 0.75/1.20 cnf(clsarity_RealDef__Oreal__OrderedGroup_Omonoid__mult,axiom,
% 0.75/1.20 class_OrderedGroup_Omonoid__mult(tc_RealDef_Oreal) ).
% 0.75/1.20
% 0.75/1.20 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Osemiring,axiom,
% 0.75/1.20 class_Ring__and__Field_Osemiring(tc_RealDef_Oreal) ).
% 0.75/1.20
% 0.75/1.20 cnf(clsarity_RealDef__Oreal__OrderedGroup_Omonoid__add,axiom,
% 0.75/1.20 class_OrderedGroup_Omonoid__add(tc_RealDef_Oreal) ).
% 0.75/1.20
% 0.75/1.20 cnf(clsarity_RealDef__Oreal__OrderedGroup_Ogroup__add,axiom,
% 0.75/1.20 class_OrderedGroup_Ogroup__add(tc_RealDef_Oreal) ).
% 0.75/1.20
% 0.75/1.20 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Osgn__if,axiom,
% 0.75/1.20 class_Ring__and__Field_Osgn__if(tc_RealDef_Oreal) ).
% 0.75/1.20
% 0.75/1.20 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oabs__if,axiom,
% 0.75/1.20 class_Ring__and__Field_Oabs__if(tc_RealDef_Oreal) ).
% 0.75/1.20
% 0.75/1.20 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ofield,axiom,
% 0.75/1.20 class_Ring__and__Field_Ofield(tc_RealDef_Oreal) ).
% 0.75/1.20
% 0.75/1.20 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oring,axiom,
% 0.75/1.20 class_Ring__and__Field_Oring(tc_RealDef_Oreal) ).
% 0.75/1.20
% 0.75/1.20 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oidom,axiom,
% 0.75/1.20 class_Ring__and__Field_Oidom(tc_RealDef_Oreal) ).
% 0.75/1.20
% 0.75/1.20 cnf(clsarity_RealDef__Oreal__Orderings_Opreorder,axiom,
% 0.75/1.20 class_Orderings_Opreorder(tc_RealDef_Oreal) ).
% 0.75/1.20
% 0.75/1.20 cnf(clsarity_RealDef__Oreal__Orderings_Olinorder,axiom,
% 0.75/1.20 class_Orderings_Olinorder(tc_RealDef_Oreal) ).
% 0.75/1.20
% 0.75/1.20 cnf(clsarity_RealDef__Oreal__Orderings_Oorder,axiom,
% 0.75/1.20 class_Orderings_Oorder(tc_RealDef_Oreal) ).
% 0.75/1.20
% 0.75/1.20 cnf(clsarity_RealDef__Oreal__Int_Onumber__ring,axiom,
% 0.75/1.20 class_Int_Onumber__ring(tc_RealDef_Oreal) ).
% 0.75/1.20
% 0.75/1.20 cnf(clsarity_RealDef__Oreal__SEQ_Obanach,axiom,
% 0.75/1.20 class_SEQ_Obanach(tc_RealDef_Oreal) ).
% 0.75/1.20
% 0.75/1.20 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Oring__no__zero__divisors,axiom,
% 0.75/1.20 class_Ring__and__Field_Oring__no__zero__divisors(tc_Complex_Ocomplex) ).
% 0.75/1.20
% 0.75/1.20 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ocancel__ab__semigroup__add,axiom,
% 0.75/1.20 class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Complex_Ocomplex) ).
% 0.75/1.20
% 0.75/1.20 cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__div__algebra,axiom,
% 0.75/1.20 class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex) ).
% 0.75/1.20
% 0.75/1.20 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ocancel__semigroup__add,axiom,
% 0.75/1.20 class_OrderedGroup_Ocancel__semigroup__add(tc_Complex_Ocomplex) ).
% 0.75/1.20
% 0.75/1.20 cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__algebra__1,axiom,
% 0.75/1.20 class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex) ).
% 0.75/1.20
% 0.75/1.20 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ono__zero__divisors,axiom,
% 0.75/1.20 class_Ring__and__Field_Ono__zero__divisors(tc_Complex_Ocomplex) ).
% 0.75/1.20
% 0.75/1.20 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Odivision__by__zero,axiom,
% 0.75/1.20 class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex) ).
% 0.75/1.20
% 0.75/1.20 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__1,axiom,
% 0.75/1.20 class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ).
% 0.75/1.20
% 0.75/1.20 cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__algebra,axiom,
% 0.75/1.20 class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex) ).
% 0.75/1.20
% 0.75/1.20 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Oab__semigroup__mult,axiom,
% 0.75/1.20 class_OrderedGroup_Oab__semigroup__mult(tc_Complex_Ocomplex) ).
% 0.75/1.20
% 0.75/1.20 cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__vector,axiom,
% 0.75/1.20 class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) ).
% 0.75/1.20
% 0.75/1.20 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ocomm__monoid__mult,axiom,
% 0.75/1.20 class_OrderedGroup_Ocomm__monoid__mult(tc_Complex_Ocomplex) ).
% 0.75/1.20
% 0.75/1.20 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Oab__semigroup__add,axiom,
% 0.75/1.20 class_OrderedGroup_Oab__semigroup__add(tc_Complex_Ocomplex) ).
% 0.75/1.20
% 0.75/1.20 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Odivision__ring,axiom,
% 0.75/1.20 class_Ring__and__Field_Odivision__ring(tc_Complex_Ocomplex) ).
% 0.75/1.20
% 0.75/1.20 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring,axiom,
% 0.75/1.20 class_Ring__and__Field_Ocomm__semiring(tc_Complex_Ocomplex) ).
% 0.75/1.20
% 0.75/1.20 cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__field,axiom,
% 0.75/1.20 class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex) ).
% 0.75/1.20
% 0.75/1.20 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ocomm__monoid__add,axiom,
% 0.75/1.20 class_OrderedGroup_Ocomm__monoid__add(tc_Complex_Ocomplex) ).
% 0.75/1.20
% 0.75/1.20 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ozero__neq__one,axiom,
% 0.75/1.20 class_Ring__and__Field_Ozero__neq__one(tc_Complex_Ocomplex) ).
% 0.75/1.20
% 0.75/1.20 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Oab__group__add,axiom,
% 0.75/1.20 class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex) ).
% 0.75/1.20
% 0.75/1.20 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Omult__zero,axiom,
% 0.75/1.20 class_Ring__and__Field_Omult__zero(tc_Complex_Ocomplex) ).
% 0.75/1.20
% 0.75/1.20 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__mult,axiom,
% 0.75/1.20 class_OrderedGroup_Omonoid__mult(tc_Complex_Ocomplex) ).
% 0.75/1.20
% 0.75/1.20 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Osemiring,axiom,
% 0.75/1.20 class_Ring__and__Field_Osemiring(tc_Complex_Ocomplex) ).
% 0.75/1.20
% 0.75/1.20 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__add,axiom,
% 0.75/1.20 class_OrderedGroup_Omonoid__add(tc_Complex_Ocomplex) ).
% 0.75/1.20
% 0.75/1.20 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ogroup__add,axiom,
% 0.75/1.20 class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex) ).
% 0.75/1.20
% 0.75/1.20 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ofield,axiom,
% 0.75/1.20 class_Ring__and__Field_Ofield(tc_Complex_Ocomplex) ).
% 0.75/1.20
% 0.75/1.20 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Oring,axiom,
% 0.75/1.20 class_Ring__and__Field_Oring(tc_Complex_Ocomplex) ).
% 0.75/1.20
% 0.75/1.20 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Oidom,axiom,
% 0.75/1.20 class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ).
% 0.75/1.20
% 0.75/1.20 cnf(clsarity_Complex__Ocomplex__Int_Onumber__ring,axiom,
% 0.75/1.20 class_Int_Onumber__ring(tc_Complex_Ocomplex) ).
% 0.75/1.20
% 0.75/1.20 cnf(clsarity_Complex__Ocomplex__SEQ_Obanach,axiom,
% 0.75/1.20 class_SEQ_Obanach(tc_Complex_Ocomplex) ).
% 0.75/1.20
% 0.75/1.20 %------------------------------------------------------------------------------
% 0.75/1.20 %-------------------------------------------
% 0.75/1.20 % Proof found
% 0.75/1.20 % SZS status Theorem for theBenchmark
% 0.75/1.20 % SZS output start Proof
% 0.75/1.21 %ClaNum:792(EqnAxiom:94)
% 0.75/1.21 %VarNum:4359(SingletonVarNum:1339)
% 0.75/1.21 %MaxLitNum:6
% 0.75/1.21 %MaxfuncDepth:4
% 0.75/1.21 %SharedTerms:120
% 0.75/1.21 %goalClause: 778
% 0.75/1.21 [95]P1(a1)
% 0.75/1.21 [96]P2(a1)
% 0.75/1.21 [97]P3(a1)
% 0.75/1.21 [98]P4(a1)
% 0.75/1.21 [99]P23(a1)
% 0.75/1.21 [100]P24(a1)
% 0.75/1.21 [101]P24(a2)
% 0.75/1.21 [102]P41(a1)
% 0.75/1.21 [103]P42(a1)
% 0.75/1.21 [104]P52(a1)
% 0.75/1.21 [105]P53(a1)
% 0.75/1.21 [106]P54(a1)
% 0.75/1.21 [107]P5(a1)
% 0.75/1.21 [108]P19(a1)
% 0.75/1.21 [109]P6(a1)
% 0.75/1.21 [110]P6(a2)
% 0.75/1.21 [111]P7(a1)
% 0.75/1.21 [112]P7(a2)
% 0.75/1.21 [113]P43(a1)
% 0.75/1.21 [114]P43(a2)
% 0.75/1.21 [115]P8(a1)
% 0.75/1.21 [116]P8(a2)
% 0.75/1.21 [117]P56(a1)
% 0.75/1.21 [118]P56(a2)
% 0.75/1.21 [119]P25(a1)
% 0.75/1.21 [120]P25(a2)
% 0.75/1.21 [121]P50(a1)
% 0.75/1.21 [122]P37(a1)
% 0.75/1.21 [123]P37(a2)
% 0.75/1.21 [124]P38(a1)
% 0.75/1.21 [125]P38(a2)
% 0.75/1.21 [126]P46(a1)
% 0.75/1.21 [127]P26(a1)
% 0.75/1.21 [128]P47(a1)
% 0.75/1.21 [129]P27(a1)
% 0.75/1.21 [130]P27(a2)
% 0.75/1.21 [131]P57(a1)
% 0.75/1.21 [132]P57(a2)
% 0.75/1.21 [133]P44(a1)
% 0.75/1.21 [134]P44(a2)
% 0.75/1.21 [135]P45(a1)
% 0.75/1.21 [136]P45(a2)
% 0.75/1.21 [137]P28(a1)
% 0.75/1.21 [138]P28(a2)
% 0.75/1.21 [139]P12(a1)
% 0.75/1.21 [140]P12(a2)
% 0.75/1.21 [141]P58(a1)
% 0.75/1.21 [142]P59(a1)
% 0.75/1.21 [143]P59(a2)
% 0.75/1.21 [144]P36(a1)
% 0.75/1.21 [145]P36(a2)
% 0.75/1.21 [146]P51(a1)
% 0.75/1.21 [147]P29(a1)
% 0.75/1.21 [148]P20(a1)
% 0.75/1.21 [149]P39(a1)
% 0.75/1.21 [150]P55(a1)
% 0.75/1.21 [151]P48(a1)
% 0.75/1.21 [152]P48(a2)
% 0.75/1.21 [153]P49(a1)
% 0.75/1.21 [154]P49(a2)
% 0.75/1.21 [155]P40(a1)
% 0.75/1.21 [156]P40(a2)
% 0.75/1.21 [157]P60(a1)
% 0.75/1.21 [158]P60(a2)
% 0.75/1.21 [159]P21(a1)
% 0.75/1.21 [160]P21(a2)
% 0.75/1.21 [161]P15(a1)
% 0.75/1.21 [162]P15(a2)
% 0.75/1.21 [163]P30(a1)
% 0.75/1.21 [164]P16(a1)
% 0.75/1.21 [165]P16(a2)
% 0.75/1.21 [166]P34(a1)
% 0.75/1.21 [167]P35(a1)
% 0.75/1.21 [168]P32(a1)
% 0.75/1.21 [169]P33(a1)
% 0.75/1.21 [170]P31(a1)
% 0.75/1.21 [171]P61(a1)
% 0.75/1.21 [172]P61(a2)
% 0.75/1.21 [173]P17(a1)
% 0.75/1.21 [174]P17(a2)
% 0.75/1.21 [175]P18(a1)
% 0.75/1.21 [176]P18(a2)
% 0.75/1.21 [177]P13(a1)
% 0.75/1.21 [178]P13(a2)
% 0.75/1.21 [179]P22(a1)
% 0.75/1.21 [180]P22(a2)
% 0.75/1.21 [195]P9(f3(a1),a17,a1)
% 0.75/1.21 [223]~E(f4(a1),f3(a1))
% 0.75/1.21 [181]E(f12(f3(a1)),f3(a1))
% 0.75/1.21 [182]E(f13(f3(a1)),f4(a1))
% 0.75/1.21 [183]E(f15(f4(a1)),f3(a1))
% 0.75/1.21 [184]E(f8(f3(a1),a1),f3(a1))
% 0.75/1.21 [185]E(f5(f3(a1),a1),f3(a1))
% 0.75/1.21 [186]E(f16(f3(a1),a1),f4(a1))
% 0.75/1.21 [227]~P10(f3(a1),f11(f3(a1),f3(a1),a1),a1)
% 0.75/1.21 [209]E(f11(f10(f4(a1),a1),f10(f4(a1),a1),a1),f4(a1))
% 0.75/1.21 [214]E(f9(f11(f3(a1),f3(a1),a1),f11(f3(a1),f3(a1),a1),a1),f3(a1))
% 0.75/1.21 [193]P9(x1931,x1931,a1)
% 0.75/1.21 [224]~P10(x2241,x2241,a1)
% 0.75/1.21 [198]P9(f12(x1981),f4(a1),a1)
% 0.75/1.21 [199]P9(f13(x1991),f4(a1),a1)
% 0.75/1.21 [201]P10(f3(a1),f16(x2011,a1),a1)
% 0.75/1.21 [202]P9(f3(a1),f16(x2021,a1),a1)
% 0.75/1.21 [203]P9(f7(x2031),f14(x2031,a2),a1)
% 0.75/1.21 [225]~P10(f16(x2251,a1),f3(a1),a1)
% 0.75/1.21 [226]~P9(f16(x2261,a1),f3(a1),a1)
% 0.75/1.21 [189]E(f15(f16(x1891,a1)),x1891)
% 0.75/1.21 [190]E(f13(f10(x1901,a1)),f13(x1901))
% 0.75/1.21 [191]E(f12(f10(x1911,a1)),f10(f12(x1911),a1))
% 0.75/1.21 [192]E(f6(f16(x1921,a1),a1),f16(x1921,a1))
% 0.75/1.21 [196]E(f11(f4(a1),x1961,a1),x1961)
% 0.75/1.21 [200]E(f9(x2001,f10(x2001,a1),a1),f3(a1))
% 0.75/1.21 [204]P9(f14(f19(x2041),a2),a17,a1)
% 0.75/1.21 [205]P9(f6(f12(x2051),a1),f4(a1),a1)
% 0.75/1.21 [206]P9(f6(f13(x2061),a1),f4(a1),a1)
% 0.75/1.21 [208]P9(f6(f7(x2081),a1),f14(x2081,a2),a1)
% 0.75/1.21 [210]P9(f10(f14(x2101,a2),a1),f14(x2101,a2),a1)
% 0.75/1.21 [211]P10(f3(a1),f9(f4(a1),f6(x2111,a1),a1),a1)
% 0.75/1.21 [228]~P10(f9(f6(x2281,a1),f4(a1),a1),x2281,a1)
% 0.75/1.21 [213]P9(f6(f7(f19(x2131)),a1),f9(a17,f4(a1),a1),a1)
% 0.75/1.21 [215]E(f9(f11(f13(x2151),f13(x2151),a1),f11(f12(x2151),f12(x2151),a1),a1),f4(a1))
% 0.75/1.21 [207]E(f11(x2071,x2072,a1),f11(x2072,x2071,a1))
% 0.75/1.21 [218]P9(f10(f11(x2181,x2181,a1),a1),f11(x2182,x2182,a1),a1)
% 0.75/1.21 [221]P9(f3(a1),f9(f11(x2211,x2211,a1),f11(x2212,x2212,a1),a1),a1)
% 0.75/1.21 [217]E(f6(f9(x2171,f10(x2172,a1),a1),a1),f6(f9(x2172,f10(x2171,a1),a1),a1))
% 0.75/1.21 [220]E(f9(f11(f12(x2201),f13(x2202),a1),f11(f13(x2201),f12(x2202),a1),a1),f12(f9(x2201,x2202,a1)))
% 0.75/1.21 [216]E(f11(f11(x2161,x2162,a1),x2163,a1),f11(x2161,f11(x2162,x2163,a1),a1))
% 0.75/1.21 [219]E(f9(f11(x2191,x2192,a1),f11(x2193,x2192,a1),a1),f11(f9(x2191,x2193,a1),x2192,a1))
% 0.75/1.21 [222]P9(f6(f9(f9(x2221,x2222,a1),f9(f10(x2223,a1),f10(x2224,a1),a1),a1),a1),f9(f6(f9(x2221,f10(x2223,a1),a1),a1),f6(f9(x2222,f10(x2224,a1),a1),a1),a1),a1)
% 0.75/1.21 [778]~P10(f3(a1),f9(a17,f4(a1),a1),a1)+~P9(f6(f7(f19(f18(a20))),a1),f9(a17,f4(a1),a1),a1)
% 0.75/1.21 [229]~E(f13(x2291),f4(a1))+E(f12(x2291),f3(a1))
% 0.75/1.21 [231]~P61(x2311)+~E(f4(x2311),f3(x2311))
% 0.75/1.21 [232]E(x2321,f3(a1))+~E(f16(x2321,a1),f4(a1))
% 0.75/1.21 [296]E(f6(x2961,a1),x2961)+P10(x2961,f3(a1),a1)
% 0.75/1.21 [308]~P50(x3081)+P10(f3(x3081),f4(x3081),x3081)
% 0.75/1.21 [309]~P50(x3091)+P9(f3(x3091),f4(x3091),x3091)
% 0.75/1.21 [346]~P10(f3(a1),x3461,a1)+E(f8(x3461,a1),f4(a1))
% 0.75/1.21 [358]~P50(x3581)+~P10(f4(x3581),f3(x3581),x3581)
% 0.75/1.21 [359]~P50(x3591)+~P9(f4(x3591),f3(x3591),x3591)
% 0.75/1.21 [360]E(f6(x3601,a1),f10(x3601,a1))+~P10(x3601,f3(a1),a1)
% 0.75/1.21 [400]P10(f15(x4001),x4001,a1)+~P10(f3(a1),x4001,a1)
% 0.75/1.21 [412]~P10(f4(a1),x4121,a1)+P10(f3(a1),f15(x4121),a1)
% 0.75/1.21 [413]~P9(f4(a1),x4131,a1)+P9(f3(a1),f15(x4131),a1)
% 0.75/1.21 [416]E(x4161,f3(a1))+P10(f3(a1),f11(x4161,x4161,a1),a1)
% 0.75/1.21 [417]~P10(f3(a1),x4171,a1)+P10(f4(a1),f16(x4171,a1),a1)
% 0.75/1.21 [418]~P9(f3(a1),x4181,a1)+P9(f4(a1),f16(x4181,a1),a1)
% 0.75/1.21 [419]~P10(x4191,f3(a1),a1)+P10(f16(x4191,a1),f4(a1),a1)
% 0.75/1.21 [420]~P9(x4201,f3(a1),a1)+P9(f16(x4201,a1),f4(a1),a1)
% 0.75/1.21 [442]P10(x4421,f3(a1),a1)+~P10(f16(x4421,a1),f4(a1),a1)
% 0.75/1.21 [443]P9(x4431,f3(a1),a1)+~P9(f16(x4431,a1),f4(a1),a1)
% 0.75/1.21 [444]P10(f3(a1),x4441,a1)+~P10(f4(a1),f16(x4441,a1),a1)
% 0.75/1.21 [445]P9(f3(a1),x4451,a1)+~P9(f4(a1),f16(x4451,a1),a1)
% 0.75/1.21 [233]~P37(x2331)+E(f14(f3(x2331),x2331),f3(a1))
% 0.75/1.21 [234]~P36(x2341)+E(f14(f4(x2341),x2341),f4(a1))
% 0.75/1.21 [236]~P3(x2361)+E(f8(f3(x2361),x2361),f3(x2361))
% 0.75/1.21 [237]~P37(x2371)+E(f8(f3(x2371),x2371),f3(x2371))
% 0.75/1.21 [238]~P58(x2381)+E(f8(f3(x2381),x2381),f3(x2381))
% 0.75/1.21 [239]~P36(x2391)+E(f8(f4(x2391),x2391),f4(x2391))
% 0.75/1.21 [240]~P19(x2401)+E(f10(f3(x2401),x2401),f3(x2401))
% 0.75/1.21 [241]~P6(x2411)+E(f10(f3(x2411),x2411),f3(x2411))
% 0.75/1.21 [242]~P24(x2421)+E(f5(f3(x2421),x2421),f3(x2421))
% 0.75/1.21 [243]~P44(x2431)+E(f5(f4(x2431),x2431),f4(x2431))
% 0.75/1.21 [244]~P26(x2441)+E(f6(f3(x2441),x2441),f3(x2441))
% 0.75/1.21 [245]~P3(x2451)+E(f6(f4(x2451),x2451),f4(x2451))
% 0.75/1.21 [246]~E(f12(x2461),f3(a1))+E(f6(f13(x2461),a1),f4(a1))
% 0.75/1.21 [311]~P5(x3111)+E(f9(f3(x3111),f3(x3111),x3111),f3(x3111))
% 0.75/1.21 [312]E(x3121,f3(a1))+E(f11(f5(x3121,a1),x3121,a1),f4(a1))
% 0.75/1.21 [315]P10(f3(a1),x3151,a1)+~E(f16(f15(x3151),a1),x3151)
% 0.75/1.21 [343]~P37(x3431)+P9(f14(f3(x3431),x3431),f3(a1),a1)
% 0.75/1.21 [348]~P26(x3481)+P9(f6(f3(x3481),x3481),f3(x3481),x3481)
% 0.75/1.21 [354]~P10(f3(a1),x3541,a1)+E(f16(f15(x3541),a1),x3541)
% 0.75/1.21 [391]~P10(f3(a1),x3911,a1)+E(f15(f5(x3911,a1)),f10(f15(x3911),a1))
% 0.75/1.21 [414]~P37(x4141)+~P10(f3(a1),f14(f3(x4141),x4141),a1)
% 0.75/1.21 [415]~P26(x4151)+~P10(f3(x4151),f6(f3(x4151),x4151),x4151)
% 0.75/1.21 [486]~P50(x4861)+P10(f3(x4861),f9(f4(x4861),f4(x4861),x4861),x4861)
% 0.75/1.21 [567]~P9(f3(a1),x5671,a1)+P9(f9(f4(a1),x5671,a1),f16(x5671,a1),a1)
% 0.75/1.21 [280]~P37(x2801)+E(f14(f8(f3(x2801),x2801),x2801),f3(a1))
% 0.75/1.21 [598]~P2(x5981)+E(f9(f11(f3(x5981),f3(x5981),x5981),f11(f3(x5981),f3(x5981),x5981),x5981),f3(x5981))
% 0.75/1.21 [668]~P9(f3(a1),x6681,a1)+P9(f15(f9(f4(a1),x6681,a1)),x6681,a1)
% 0.75/1.21 [783]~P2(x7831)+P9(f9(f11(f3(x7831),f3(x7831),x7831),f11(f3(x7831),f3(x7831),x7831),x7831),f3(x7831),x7831)
% 0.75/1.21 [792]~P2(x7921)+~P10(f3(x7921),f9(f11(f3(x7921),f3(x7921),x7921),f11(f3(x7921),f3(x7921),x7921),x7921),x7921)
% 0.75/1.21 [278]~P34(x2782)+P9(x2781,x2781,x2782)
% 0.75/1.21 [279]~P35(x2792)+P9(x2791,x2791,x2792)
% 0.75/1.21 [328]~P10(x3282,x3282,x3281)+~P29(x3281)
% 0.75/1.21 [329]~P10(x3292,x3292,x3291)+~P34(x3291)
% 0.75/1.21 [330]~P10(x3302,x3302,x3301)+~P35(x3301)
% 0.75/1.21 [349]P9(x3492,x3491,a1)+P9(x3491,x3492,a1)
% 0.75/1.21 [393]~P10(x3931,x3932,a1)+P9(x3931,x3932,a1)
% 0.75/1.21 [258]E(x2581,x2582)+~E(f16(x2581,a1),f16(x2582,a1))
% 0.75/1.21 [281]~P14(x2812)+E(f11(x2811,x2811,x2812),x2811)
% 0.75/1.21 [316]~P26(x3162)+P9(x3161,f6(x3161,x3162),x3162)
% 0.75/1.21 [318]~P37(x3182)+P9(f3(a1),f14(x3181,x3182),a1)
% 0.75/1.21 [331]~P26(x3311)+P9(f3(x3311),f6(x3312,x3311),x3311)
% 0.75/1.21 [341]E(x3411,f10(x3412,a1))+~E(f9(x3412,x3411,a1),f3(a1))
% 0.75/1.21 [361]~P26(x3612)+P9(f10(x3611,x3612),f6(x3611,x3612),x3612)
% 0.75/1.21 [392]~P37(x3921)+~P10(f14(x3922,x3921),f3(a1),a1)
% 0.75/1.21 [398]~P26(x3981)+~P10(f6(x3982,x3981),f3(x3981),x3981)
% 0.75/1.21 [428]P9(x4281,x4282,a1)+~P9(f6(x4281,a1),x4282,a1)
% 0.75/1.21 [429]~P2(x4291)+P9(f3(x4291),f11(x4292,x4292,x4291),x4291)
% 0.75/1.21 [449]~P10(x4491,x4492,a1)+P10(f16(x4491,a1),f16(x4492,a1),a1)
% 0.75/1.21 [450]~P9(x4501,x4502,a1)+P9(f16(x4501,a1),f16(x4502,a1),a1)
% 0.75/1.21 [476]~P9(f6(x4762,a1),x4761,a1)+P9(f10(x4761,a1),x4762,a1)
% 0.75/1.21 [502]P10(x5021,x5022,a1)+~P10(f16(x5021,a1),f16(x5022,a1),a1)
% 0.75/1.21 [503]P9(x5031,x5032,a1)+~P9(f16(x5031,a1),f16(x5032,a1),a1)
% 0.75/1.21 [564]~P2(x5641)+~P10(f11(x5642,x5642,x5641),f3(x5641),x5641)
% 0.75/1.21 [569]~P10(f10(x5691,a1),x5692,a1)+P10(f3(a1),f9(x5691,x5692,a1),a1)
% 0.75/1.21 [570]~P9(f10(x5701,a1),x5702,a1)+P9(f3(a1),f9(x5701,x5702,a1),a1)
% 0.75/1.21 [571]~P10(x5712,f10(x5711,a1),a1)+P10(f9(x5711,x5712,a1),f3(a1),a1)
% 0.75/1.21 [572]~P9(x5722,f10(x5721,a1),a1)+P9(f9(x5721,x5722,a1),f3(a1),a1)
% 0.75/1.21 [594]P10(x5941,f10(x5942,a1),a1)+~P10(f9(x5942,x5941,a1),f3(a1),a1)
% 0.75/1.21 [595]P9(x5951,f10(x5952,a1),a1)+~P9(f9(x5952,x5951,a1),f3(a1),a1)
% 0.75/1.21 [596]P10(f10(x5961,a1),x5962,a1)+~P10(f3(a1),f9(x5961,x5962,a1),a1)
% 0.75/1.21 [597]P9(f10(x5971,a1),x5972,a1)+~P9(f3(a1),f9(x5971,x5972,a1),a1)
% 0.75/1.21 [263]~P6(x2632)+E(f10(f10(x2631,x2632),x2632),x2631)
% 0.75/1.21 [264]~P11(x2642)+E(f10(f10(x2641,x2642),x2642),x2641)
% 0.75/1.21 [272]~P37(x2722)+E(f6(f14(x2721,x2722),a1),f14(x2721,x2722))
% 0.75/1.21 [274]~P3(x2742)+E(f8(f8(x2741,x2742),x2742),f8(x2741,x2742))
% 0.75/1.21 [275]~P37(x2752)+E(f14(f10(x2751,x2752),x2752),f14(x2751,x2752))
% 0.75/1.21 [276]~P26(x2762)+E(f6(f10(x2761,x2762),x2762),f6(x2761,x2762))
% 0.75/1.21 [277]~P26(x2772)+E(f6(f6(x2771,x2772),x2772),f6(x2771,x2772))
% 0.75/1.21 [283]~P38(x2832)+E(f11(x2831,f4(x2832),x2832),x2831)
% 0.75/1.21 [284]~P21(x2842)+E(f11(x2841,f4(x2842),x2842),x2841)
% 0.75/1.21 [285]~P38(x2852)+E(f9(x2851,f3(x2852),x2852),x2851)
% 0.75/1.21 [286]~P16(x2862)+E(f9(x2861,f3(x2862),x2862),x2861)
% 0.75/1.21 [287]~P22(x2872)+E(f9(x2871,f3(x2872),x2872),x2871)
% 0.75/1.21 [289]~P38(x2891)+E(f11(f4(x2891),x2892,x2891),x2892)
% 0.75/1.21 [290]~P21(x2901)+E(f11(f4(x2901),x2902,x2901),x2902)
% 0.75/1.21 [291]~P15(x2911)+E(f11(f4(x2911),x2912,x2911),x2912)
% 0.75/1.21 [293]~P38(x2931)+E(f9(f3(x2931),x2932,x2931),x2932)
% 0.75/1.21 [294]~P16(x2941)+E(f9(f3(x2941),x2942,x2941),x2942)
% 0.75/1.21 [295]~P22(x2951)+E(f9(f3(x2951),x2952,x2951),x2952)
% 0.75/1.21 [297]~P38(x2972)+E(f11(x2971,f3(x2972),x2972),f3(x2972))
% 0.75/1.21 [299]~P28(x2992)+E(f11(x2991,f3(x2992),x2992),f3(x2992))
% 0.75/1.21 [300]~P59(x3002)+E(f11(x3001,f3(x3002),x3002),f3(x3002))
% 0.75/1.21 [301]~P48(x3012)+E(f11(x3011,f3(x3012),x3012),f3(x3012))
% 0.75/1.21 [303]~P38(x3031)+E(f11(f3(x3031),x3032,x3031),f3(x3031))
% 0.75/1.21 [305]~P28(x3051)+E(f11(f3(x3051),x3052,x3051),f3(x3051))
% 0.75/1.21 [306]~P59(x3061)+E(f11(f3(x3061),x3062,x3061),f3(x3061))
% 0.75/1.21 [307]~P48(x3071)+E(f11(f3(x3071),x3072,x3071),f3(x3071))
% 0.75/1.21 [314]~P37(x3142)+E(f8(f10(x3141,x3142),x3142),f10(f8(x3141,x3142),x3142))
% 0.75/1.21 [321]~P6(x3212)+E(f9(x3211,f10(x3211,x3212),x3212),f3(x3212))
% 0.75/1.21 [323]~P6(x3232)+E(f9(f10(x3231,x3232),x3231,x3232),f3(x3232))
% 0.75/1.21 [324]~P7(x3242)+E(f9(f10(x3241,x3242),x3241,x3242),f3(x3242))
% 0.75/1.21 [342]~P3(x3422)+E(f11(x3421,f8(x3421,x3422),x3422),f6(x3421,x3422))
% 0.75/1.21 [363]~P3(x3632)+E(f11(f8(x3631,x3632),f6(x3631,x3632),x3632),x3631)
% 0.75/1.21 [386]E(x3861,x3862)+~E(f9(x3861,f10(x3862,a1),a1),f3(a1))
% 0.75/1.21 [399]~P26(x3992)+P9(f10(f6(x3991,x3992),x3992),f3(x3992),x3992)
% 0.75/1.21 [423]~P43(x4232)+E(f11(f10(x4231,x4232),f10(x4231,x4232),x4232),f11(x4231,x4231,x4232))
% 0.75/1.21 [424]~P3(x4242)+E(f11(f6(x4241,x4242),f6(x4241,x4242),x4242),f11(x4241,x4241,x4242))
% 0.75/1.21 [441]~P50(x4412)+P10(x4411,f9(x4411,f4(x4412),x4412),x4412)
% 0.75/1.21 [557]E(x5571,f3(a1))+~E(f11(x5572,x5572,a1),f10(f11(x5571,x5571,a1),a1))
% 0.75/1.21 [558]E(x5581,f3(a1))+~E(f11(x5581,x5581,a1),f10(f11(x5582,x5582,a1),a1))
% 0.75/1.21 [574]~P10(x5742,x5741,a1)+P10(f3(a1),f9(x5741,f10(x5742,a1),a1),a1)
% 0.75/1.21 [670]P10(x6701,x6702,a1)+~P10(f3(a1),f9(x6702,f10(x6701,a1),a1),a1)
% 0.75/1.21 [680]E(x6801,f3(a1))+~E(f9(f11(x6802,x6802,a1),f11(x6801,x6801,a1),a1),f3(a1))
% 0.75/1.21 [681]E(x6811,f3(a1))+~E(f9(f11(x6811,x6811,a1),f11(x6812,x6812,a1),a1),f3(a1))
% 0.75/1.21 [756]E(x7561,f3(a1))+P10(f3(a1),f9(f11(x7562,x7562,a1),f11(x7561,x7561,a1),a1),a1)
% 0.75/1.21 [757]E(x7571,f3(a1))+P10(f3(a1),f9(f11(x7571,x7571,a1),f11(x7572,x7572,a1),a1),a1)
% 0.75/1.21 [362]~P8(x3621)+E(f11(f10(f4(x3621),x3621),x3622,x3621),f10(x3622,x3621))
% 0.75/1.21 [555]~P38(x5552)+E(f9(x5551,x5551,x5552),f11(f9(f4(x5552),f4(x5552),x5552),x5551,x5552))
% 0.75/1.21 [368]~P38(x3683)+E(f11(x3681,x3682,x3683),f11(x3682,x3681,x3683))
% 0.75/1.21 [370]~P38(x3703)+E(f9(x3701,x3702,x3703),f9(x3702,x3701,x3703))
% 0.75/1.21 [371]~P16(x3713)+E(f9(x3711,x3712,x3713),f9(x3712,x3711,x3713))
% 0.75/1.21 [625]~P9(x6252,x6253,a1)+P9(f9(x6251,x6252,a1),f9(x6251,x6253,a1),a1)
% 0.75/1.21 [421]~P57(x4212)+E(f11(f10(x4211,x4212),x4213,x4212),f11(x4211,f10(x4213,x4212),x4212))
% 0.75/1.21 [422]~P57(x4222)+E(f11(f10(x4221,x4222),f10(x4223,x4222),x4222),f11(x4221,x4223,x4222))
% 0.75/1.21 [474]~P7(x4742)+E(f9(f10(x4741,x4742),f9(x4743,x4741,x4742),x4742),x4743)
% 0.75/1.21 [475]~P6(x4752)+E(f9(f10(x4751,x4752),f9(x4751,x4753,x4752),x4752),x4753)
% 0.75/1.21 [496]~P57(x4963)+E(f11(x4961,f10(x4962,x4963),x4963),f10(f11(x4961,x4962,x4963),x4963))
% 0.75/1.21 [497]~P57(x4972)+E(f11(f10(x4971,x4972),x4973,x4972),f10(f11(x4971,x4973,x4972),x4972))
% 0.75/1.21 [499]~P28(x4993)+E(f11(x4991,f10(x4992,x4993),x4993),f10(f11(x4991,x4992,x4993),x4993))
% 0.75/1.21 [501]~P28(x5012)+E(f11(f10(x5011,x5012),x5013,x5012),f10(f11(x5011,x5013,x5012),x5012))
% 0.75/1.21 [526]~P14(x5263)+E(f11(x5261,f11(x5261,x5262,x5263),x5263),f11(x5261,x5262,x5263))
% 0.75/1.21 [529]~P27(x5292)+E(f11(f14(x5291,x5292),f14(x5293,x5292),a1),f14(f11(x5291,x5293,x5292),x5292))
% 0.75/1.21 [530]~P3(x5302)+E(f11(f8(x5301,x5302),f8(x5303,x5302),x5302),f8(f11(x5301,x5303,x5302),x5302))
% 0.75/1.21 [531]~P27(x5312)+E(f11(f8(x5311,x5312),f8(x5313,x5312),x5312),f8(f11(x5311,x5313,x5312),x5312))
% 0.75/1.21 [532]~P6(x5322)+E(f9(f10(x5321,x5322),f10(x5323,x5322),x5322),f10(f9(x5323,x5321,x5322),x5322))
% 0.75/1.21 [533]~P7(x5332)+E(f9(f10(x5331,x5332),f10(x5333,x5332),x5332),f10(f9(x5331,x5333,x5332),x5332))
% 0.75/1.21 [534]~P3(x5342)+E(f11(f6(x5341,x5342),f6(x5343,x5342),x5342),f6(f11(x5341,x5343,x5342),x5342))
% 0.75/1.21 [733]~P28(x7333)+P9(f14(f11(x7331,x7332,x7333),x7333),f11(f14(x7331,x7333),f14(x7332,x7333),a1),a1)
% 0.75/1.21 [734]~P37(x7343)+P9(f14(f9(x7341,x7342,x7343),x7343),f9(f14(x7341,x7343),f14(x7342,x7343),a1),a1)
% 0.75/1.21 [736]~P46(x7363)+P9(f6(f11(x7361,x7362,x7363),x7363),f11(f6(x7361,x7363),f6(x7362,x7363),x7363),x7363)
% 0.75/1.21 [737]~P26(x7373)+P9(f6(f9(x7371,x7372,x7373),x7373),f9(f6(x7371,x7373),f6(x7372,x7373),x7373),x7373)
% 0.75/1.21 [768]~P2(x7681)+P9(f3(x7681),f9(f11(x7682,x7682,x7681),f11(x7683,x7683,x7681),x7681),x7681)
% 0.75/1.21 [789]~P2(x7891)+~P10(f9(f11(x7892,x7892,x7891),f11(x7893,x7893,x7891),x7891),f3(x7891),x7891)
% 0.75/1.21 [525]~P6(x5252)+E(f9(x5251,f9(f10(x5251,x5252),x5253,x5252),x5252),x5253)
% 0.75/1.21 [622]~P26(x6222)+E(f6(f9(f6(x6221,x6222),f6(x6223,x6222),x6222),x6222),f9(f6(x6221,x6222),f6(x6223,x6222),x6222))
% 0.75/1.21 [623]~P38(x6233)+E(f9(x6231,f11(x6232,x6231,x6233),x6233),f11(f9(x6232,f4(x6233),x6233),x6231,x6233))
% 0.75/1.21 [624]~P38(x6243)+E(f9(f11(x6241,x6242,x6243),x6242,x6243),f11(f9(x6241,f4(x6243),x6243),x6242,x6243))
% 0.75/1.21 [599]~P38(x5994)+E(f11(x5991,f11(x5992,x5993,x5994),x5994),f11(x5992,f11(x5991,x5993,x5994),x5994))
% 0.75/1.21 [600]~P7(x6004)+E(f9(x6001,f9(x6002,x6003,x6004),x6004),f9(x6002,f9(x6001,x6003,x6004),x6004))
% 0.75/1.21 [601]~P38(x6014)+E(f9(x6011,f9(x6012,x6013,x6014),x6014),f9(x6012,f9(x6011,x6013,x6014),x6014))
% 0.75/1.21 [602]~P16(x6024)+E(f9(x6021,f9(x6022,x6023,x6024),x6024),f9(x6022,f9(x6021,x6023,x6024),x6024))
% 0.75/1.21 [607]~P38(x6073)+E(f11(f11(x6071,x6072,x6073),x6074,x6073),f11(x6071,f11(x6072,x6074,x6073),x6073))
% 0.75/1.21 [608]~P12(x6083)+E(f11(f11(x6081,x6082,x6083),x6084,x6083),f11(x6081,f11(x6082,x6084,x6083),x6083))
% 0.75/1.21 [609]~P38(x6093)+E(f9(f9(x6091,x6092,x6093),x6094,x6093),f9(x6091,f9(x6092,x6094,x6093),x6093))
% 0.75/1.21 [610]~P16(x6103)+E(f9(f9(x6101,x6102,x6103),x6104,x6103),f9(x6101,f9(x6102,x6104,x6103),x6103))
% 0.75/1.21 [611]~P13(x6113)+E(f9(f9(x6111,x6112,x6113),x6114,x6113),f9(x6111,f9(x6112,x6114,x6113),x6113))
% 0.75/1.21 [612]~P38(x6123)+E(f11(f11(x6121,x6122,x6123),x6124,x6123),f11(f11(x6121,x6124,x6123),x6122,x6123))
% 0.75/1.21 [613]~P38(x6133)+E(f9(f9(x6131,x6132,x6133),x6134,x6133),f9(f9(x6131,x6134,x6133),x6132,x6133))
% 0.75/1.21 [692]~P38(x6923)+E(f9(f11(x6921,x6922,x6923),f11(x6921,x6924,x6923),x6923),f11(x6921,f9(x6922,x6924,x6923),x6923))
% 0.75/1.21 [694]~P28(x6943)+E(f9(f11(x6941,x6942,x6943),f11(x6941,x6944,x6943),x6943),f11(x6941,f9(x6942,x6944,x6943),x6943))
% 0.75/1.21 [697]~P28(x6973)+E(f9(f11(x6971,x6972,x6973),f11(x6974,x6972,x6973),x6973),f11(f9(x6971,x6974,x6973),x6972,x6973))
% 0.75/1.21 [698]~P40(x6983)+E(f9(f11(x6981,x6982,x6983),f11(x6984,x6982,x6983),x6983),f11(f9(x6981,x6984,x6983),x6982,x6983))
% 0.75/1.21 [699]~P38(x6993)+E(f9(f11(x6991,x6992,x6993),f11(x6994,x6992,x6993),x6993),f11(f9(x6991,x6994,x6993),x6992,x6993))
% 0.75/1.21 [741]~P38(x7413)+E(f11(f11(x7411,x7412,x7413),f11(x7414,x7415,x7413),x7413),f11(f11(x7411,x7414,x7413),f11(x7412,x7415,x7413),x7413))
% 0.75/1.21 [742]~P38(x7423)+E(f9(f9(x7421,x7422,x7423),f9(x7424,x7425,x7423),x7423),f9(f9(x7421,x7424,x7423),f9(x7422,x7425,x7423),x7423))
% 0.75/1.21 [786]~P60(x7863)+E(f9(f11(x7861,x7862,x7863),f9(f11(x7864,x7862,x7863),x7865,x7863),x7863),f9(f11(f9(x7861,x7864,x7863),x7862,x7863),x7865,x7863))
% 0.75/1.21 [344]~E(f15(x3441),f3(a1))+E(x3441,f4(a1))+~P10(f3(a1),x3441,a1)
% 0.75/1.21 [543]~P10(x5431,f4(a1),a1)+~P10(f3(a1),x5431,a1)+P10(f15(x5431),f3(a1),a1)
% 0.75/1.21 [549]~P10(f3(a1),x5491,a1)+~P10(f15(x5491),f3(a1),a1)+P10(x5491,f4(a1),a1)
% 0.75/1.21 [551]~P10(f3(a1),x5511,a1)+~P10(f3(a1),f15(x5511),a1)+P10(f4(a1),x5511,a1)
% 0.75/1.21 [553]~P10(f3(a1),x5531,a1)+~P9(f3(a1),f15(x5531),a1)+P9(f4(a1),x5531,a1)
% 0.75/1.21 [556]~P10(x5561,f4(a1),a1)+~P10(f3(a1),x5561,a1)+P10(f4(a1),f5(x5561,a1),a1)
% 0.75/1.21 [249]~P24(x2491)+~P45(x2491)+E(f5(f4(x2491),x2491),f4(x2491))
% 0.75/1.21 [250]~P56(x2501)+~P25(x2501)+E(f16(f3(x2501),x2501),f4(x2501))
% 0.75/1.21 [317]E(x3171,f3(a1))+P10(f3(a1),x3171,a1)+E(f8(x3171,a1),f10(f4(a1),a1))
% 0.75/1.21 [353]E(x3531,f4(a1))+~E(f11(x3531,x3531,a1),f4(a1))+E(x3531,f10(f4(a1),a1))
% 0.75/1.21 [451]~P32(x4511)+~P9(f3(x4511),f3(x4511),x4511)+E(f9(f3(x4511),f3(x4511),x4511),f3(x4511))
% 0.75/1.21 [396]E(x3961,x3962)+P10(x3961,x3962,a1)+~P9(x3961,x3962,a1)
% 0.75/1.21 [425]E(x4251,x4252)+~P9(x4252,x4251,a1)+~P9(x4251,x4252,a1)
% 0.75/1.21 [247]~P19(x2472)+~E(f10(x2471,x2472),x2471)+E(x2471,f3(x2472))
% 0.75/1.21 [251]~P37(x2512)+E(x2511,f3(x2512))+~E(f14(x2511,x2512),f3(a1))
% 0.75/1.21 [252]~P3(x2522)+~E(f8(x2521,x2522),f3(x2522))+E(x2521,f3(x2522))
% 0.75/1.21 [253]~P37(x2532)+~E(f8(x2531,x2532),f3(x2532))+E(x2531,f3(x2532))
% 0.75/1.21 [254]~P6(x2542)+~E(f10(x2541,x2542),f3(x2542))+E(x2541,f3(x2542))
% 0.75/1.21 [255]~P44(x2552)+~E(f5(x2551,x2552),f3(x2552))+E(x2551,f3(x2552))
% 0.75/1.21 [256]~P26(x2562)+~E(f6(x2561,x2562),f3(x2562))+E(x2561,f3(x2562))
% 0.75/1.21 [257]~P6(x2571)+~E(f10(x2572,x2571),f3(x2571))+E(f3(x2571),x2572)
% 0.75/1.21 [259]~P56(x2592)+~P25(x2592)+~E(f16(x2591,x2592),f3(x2592))
% 0.75/1.21 [313]~P39(x3132)+P10(x3131,f3(x3132),x3132)+E(f6(x3131,x3132),x3131)
% 0.75/1.21 [335]~P37(x3352)+E(x3351,f3(x3352))+P10(f3(a1),f14(x3351,x3352),a1)
% 0.75/1.21 [336]~P3(x3361)+P10(f3(x3361),x3362,x3361)+~E(f8(x3362,x3361),f4(x3361))
% 0.75/1.21 [340]~P26(x3402)+P10(f3(x3402),f6(x3401,x3402),x3402)+E(x3401,f3(x3402))
% 0.75/1.21 [347]~P5(x3472)+~E(f9(x3471,x3471,x3472),f3(x3472))+E(x3471,f3(x3472))
% 0.75/1.21 [377]~P26(x3772)+~P10(f3(x3772),x3771,x3772)+E(f6(x3771,x3772),x3771)
% 0.75/1.21 [378]~P26(x3782)+~P9(f3(x3782),x3781,x3782)+E(f6(x3781,x3782),x3781)
% 0.75/1.21 [384]~P3(x3842)+~P10(f3(x3842),x3841,x3842)+E(f8(x3841,x3842),f4(x3842))
% 0.75/1.21 [388]~P26(x3882)+~P10(x3881,f3(x3882),x3882)+E(f6(x3881,x3882),f10(x3881,x3882))
% 0.75/1.21 [389]~P26(x3892)+~P9(x3891,f3(x3892),x3892)+E(f6(x3891,x3892),f10(x3891,x3892))
% 0.75/1.21 [390]~P39(x3902)+~P10(x3901,f3(x3902),x3902)+E(f6(x3901,x3902),f10(x3901,x3902))
% 0.75/1.21 [397]~P37(x3972)+E(x3971,f3(x3972))+~P9(f14(x3971,x3972),f3(a1),a1)
% 0.75/1.21 [403]~P26(x4032)+~P9(f6(x4031,x4032),f3(x4032),x4032)+E(x4031,f3(x4032))
% 0.75/1.21 [452]~P3(x4522)+~P10(x4521,f3(x4522),x4522)+P10(x4521,f10(x4521,x4522),x4522)
% 0.75/1.21 [453]~P5(x4532)+~P9(x4531,f3(x4532),x4532)+P9(x4531,f10(x4531,x4532),x4532)
% 0.75/1.21 [454]~P19(x4542)+~P9(x4541,f3(x4542),x4542)+P9(x4541,f10(x4541,x4542),x4542)
% 0.75/1.21 [455]~P5(x4552)+~P9(f3(x4552),x4551,x4552)+P9(f10(x4551,x4552),x4551,x4552)
% 0.75/1.21 [456]~P19(x4562)+~P9(f3(x4562),x4561,x4562)+P9(f10(x4561,x4562),x4561,x4562)
% 0.75/1.21 [460]~P4(x4601)+~P10(x4602,f3(x4601),x4601)+P10(f3(x4601),f10(x4602,x4601),x4601)
% 0.75/1.21 [461]~P4(x4611)+~P9(x4612,f3(x4611),x4611)+P9(f3(x4611),f10(x4612,x4611),x4611)
% 0.75/1.21 [462]~P3(x4621)+~P10(f3(x4621),x4622,x4621)+P10(f3(x4621),f8(x4622,x4621),x4621)
% 0.75/1.21 [463]~P23(x4631)+~P10(f3(x4631),x4632,x4631)+P10(f3(x4631),f5(x4632,x4631),x4631)
% 0.75/1.21 [464]~P3(x4642)+~P10(x4641,f3(x4642),x4642)+P10(f8(x4641,x4642),f3(x4642),x4642)
% 0.75/1.21 [465]~P23(x4652)+~P10(x4651,f3(x4652),x4652)+P10(f5(x4651,x4652),f3(x4652),x4652)
% 0.75/1.21 [466]~P4(x4662)+~P10(f3(x4662),x4661,x4662)+P10(f10(x4661,x4662),f3(x4662),x4662)
% 0.75/1.21 [467]~P4(x4672)+~P9(f3(x4672),x4671,x4672)+P9(f10(x4671,x4672),f3(x4672),x4672)
% 0.75/1.21 [469]~P3(x4692)+~P10(x4691,f10(x4691,x4692),x4692)+P10(x4691,f3(x4692),x4692)
% 0.75/1.21 [470]~P5(x4702)+~P9(x4701,f10(x4701,x4702),x4702)+P9(x4701,f3(x4702),x4702)
% 0.75/1.21 [471]~P19(x4712)+~P9(x4711,f10(x4711,x4712),x4712)+P9(x4711,f3(x4712),x4712)
% 0.75/1.21 [472]~P5(x4721)+~P9(f10(x4722,x4721),x4722,x4721)+P9(f3(x4721),x4722,x4721)
% 0.75/1.21 [473]~P19(x4731)+~P9(f10(x4732,x4731),x4732,x4731)+P9(f3(x4731),x4732,x4731)
% 0.75/1.21 [490]~P4(x4902)+~P10(f3(x4902),f10(x4901,x4902),x4902)+P10(x4901,f3(x4902),x4902)
% 0.75/1.21 [491]~P4(x4912)+~P9(f3(x4912),f10(x4911,x4912),x4912)+P9(x4911,f3(x4912),x4912)
% 0.75/1.21 [492]~P3(x4922)+~P10(f8(x4921,x4922),f3(x4922),x4922)+P10(x4921,f3(x4922),x4922)
% 0.75/1.21 [493]~P3(x4931)+~P10(f3(x4931),f8(x4932,x4931),x4931)+P10(f3(x4931),x4932,x4931)
% 0.75/1.21 [494]~P4(x4941)+~P10(f10(x4942,x4941),f3(x4941),x4941)+P10(f3(x4941),x4942,x4941)
% 0.75/1.21 [495]~P4(x4951)+~P9(f10(x4952,x4951),f3(x4951),x4951)+P9(f3(x4951),x4952,x4951)
% 0.75/1.21 [559]~P5(x5591)+~P10(f3(x5591),x5592,x5591)+P10(f3(x5591),f9(x5592,x5592,x5591),x5591)
% 0.75/1.21 [560]~P5(x5601)+~P9(f3(x5601),x5602,x5601)+P9(f3(x5601),f9(x5602,x5602,x5601),x5601)
% 0.75/1.21 [561]~P3(x5612)+~P10(x5611,f3(x5612),x5612)+P10(f9(x5611,x5611,x5612),f3(x5612),x5612)
% 0.75/1.21 [562]~P5(x5622)+~P10(x5621,f3(x5622),x5622)+P10(f9(x5621,x5621,x5622),f3(x5622),x5622)
% 0.75/1.21 [563]~P5(x5632)+~P9(x5631,f3(x5632),x5632)+P9(f9(x5631,x5631,x5632),f3(x5632),x5632)
% 0.75/1.21 [573]~P9(x5731,x5732,a1)+~P9(f10(x5732,a1),x5731,a1)+P9(f6(x5731,a1),x5732,a1)
% 0.75/1.21 [614]~P3(x6142)+~P10(f9(x6141,x6141,x6142),f3(x6142),x6142)+P10(x6141,f3(x6142),x6142)
% 0.75/1.21 [615]~P5(x6152)+~P10(f9(x6151,x6151,x6152),f3(x6152),x6152)+P10(x6151,f3(x6152),x6152)
% 0.75/1.21 [616]~P5(x6162)+~P9(f9(x6161,x6161,x6162),f3(x6162),x6162)+P9(x6161,f3(x6162),x6162)
% 0.75/1.21 [617]~P5(x6171)+~P10(f3(x6171),f9(x6172,x6172,x6171),x6171)+P10(f3(x6171),x6172,x6171)
% 0.75/1.21 [618]~P5(x6181)+~P9(f3(x6181),f9(x6182,x6182,x6181),x6181)+P9(f3(x6181),x6182,x6181)
% 0.75/1.21 [621]~P10(f3(a1),x6212,a1)+~P10(f3(a1),x6211,a1)+P10(f3(a1),f11(x6211,x6212,a1),a1)
% 0.75/1.21 [267]~P44(x2672)+E(x2671,f3(x2672))+E(f5(f5(x2671,x2672),x2672),x2671)
% 0.75/1.21 [270]~P37(x2702)+E(x2701,f3(x2702))+E(f14(f8(x2701,x2702),x2702),f4(a1))
% 0.75/1.21 [271]~P24(x2712)+~P44(x2712)+E(f5(f5(x2711,x2712),x2712),x2711)
% 0.75/1.21 [310]~P43(x3102)+~P8(x3102)+E(f9(x3101,f3(x3102),x3102),x3101)
% 0.75/1.21 [320]~P27(x3202)+E(x3201,f3(x3202))+E(f14(f5(x3201,x3202),x3202),f5(f14(x3201,x3202),a1))
% 0.75/1.21 [325]~P44(x3252)+E(x3251,f3(x3252))+E(f5(f10(x3251,x3252),x3252),f10(f5(x3251,x3252),x3252))
% 0.75/1.21 [326]~P23(x3262)+E(x3261,f3(x3262))+E(f6(f5(x3261,x3262),x3262),f5(f6(x3261,x3262),x3262))
% 0.75/1.21 [327]~P24(x3272)+~P27(x3272)+E(f14(f5(x3271,x3272),x3272),f5(f14(x3271,x3272),a1))
% 0.75/1.21 [332]~P24(x3322)+~P44(x3322)+E(f5(f10(x3321,x3322),x3322),f10(f5(x3321,x3322),x3322))
% 0.75/1.21 [333]~P56(x3332)+~P25(x3332)+E(f5(f16(x3331,x3332),x3332),f16(f10(x3331,x3332),x3332))
% 0.75/1.21 [334]~P23(x3342)+~P24(x3342)+E(f6(f5(x3341,x3342),x3342),f5(f6(x3341,x3342),x3342))
% 0.75/1.21 [337]~P44(x3372)+E(x3371,f3(x3372))+E(f11(x3371,f5(x3371,x3372),x3372),f4(x3372))
% 0.75/1.21 [338]~P44(x3382)+E(x3381,f3(x3382))+E(f11(f5(x3381,x3382),x3381,x3382),f4(x3382))
% 0.75/1.21 [339]~P45(x3392)+E(x3391,f3(x3392))+E(f11(f5(x3391,x3392),x3391,x3392),f4(x3392))
% 0.75/1.21 [385]~P3(x3852)+P10(x3851,f3(x3852),x3852)+~E(f8(x3851,x3852),f10(f4(x3852),x3852))
% 0.75/1.21 [394]~P3(x3942)+~P10(x3941,f3(x3942),x3942)+E(f8(x3941,x3942),f10(f4(x3942),x3942))
% 0.75/1.21 [626]~P10(f3(a1),x6262,a1)+~P10(f3(a1),x6261,a1)+E(f9(f15(x6261),f15(x6262),a1),f15(f11(x6261,x6262,a1)))
% 0.75/1.21 [374]P9(x3742,x3741,x3743)+~P29(x3743)+P10(x3741,x3742,x3743)
% 0.75/1.21 [376]P9(x3762,x3761,x3763)+~P29(x3763)+P9(x3761,x3762,x3763)
% 0.75/1.21 [401]~P34(x4013)+~P10(x4011,x4012,x4013)+P9(x4011,x4012,x4013)
% 0.75/1.21 [402]~P35(x4023)+~P10(x4021,x4022,x4023)+P9(x4021,x4022,x4023)
% 0.75/1.21 [430]~P10(x4303,x4302,x4301)+~P29(x4301)+~P10(x4302,x4303,x4301)
% 0.75/1.21 [432]~P9(x4323,x4322,x4321)+~P29(x4321)+~P10(x4322,x4323,x4321)
% 0.75/1.21 [434]~P10(x4343,x4342,x4341)+~P34(x4341)+~P10(x4342,x4343,x4341)
% 0.75/1.21 [436]~P10(x4363,x4362,x4361)+~P35(x4361)+~P10(x4362,x4363,x4361)
% 0.75/1.21 [437]~P9(x4373,x4372,x4371)+~P35(x4371)+~P10(x4372,x4373,x4371)
% 0.75/1.21 [524]~P9(x5241,x5243,a1)+P9(x5241,x5242,a1)+~P9(x5243,x5242,a1)
% 0.75/1.21 [268]~P6(x2683)+E(x2681,x2682)+~E(f10(x2681,x2683),f10(x2682,x2683))
% 0.75/1.21 [269]~P11(x2693)+E(x2691,x2692)+~E(f10(x2691,x2693),f10(x2692,x2693))
% 0.75/1.21 [364]~P6(x3643)+~E(f9(x3641,x3642,x3643),f3(x3643))+E(x3641,f10(x3642,x3643))
% 0.75/1.21 [365]~P6(x3652)+~E(f9(x3651,x3653,x3652),f3(x3652))+E(f10(x3651,x3652),x3653)
% 0.75/1.21 [366]~P44(x3662)+~E(f11(x3661,x3663,x3662),f4(x3662))+E(f5(x3661,x3662),x3663)
% 0.75/1.21 [426]E(x4261,x4262)+~E(f11(x4263,x4261,a1),f11(x4263,x4262,a1))+E(x4263,f3(a1))
% 0.75/1.21 [427]E(x4271,x4272)+~E(f11(x4271,x4273,a1),f11(x4272,x4273,a1))+E(x4273,f3(a1))
% 0.75/1.21 [458]~P3(x4583)+P10(x4581,x4582,x4583)+~P10(f6(x4581,x4583),x4582,x4583)
% 0.75/1.21 [459]~P26(x4593)+P9(x4591,x4592,x4593)+~P9(f6(x4591,x4593),x4592,x4593)
% 0.75/1.21 [487]~P4(x4872)+~P10(x4873,x4871,x4872)+P10(f10(x4871,x4872),f10(x4873,x4872),x4872)
% 0.75/1.21 [488]~P4(x4882)+~P9(x4883,x4881,x4882)+P9(f10(x4881,x4882),f10(x4883,x4882),x4882)
% 0.75/1.21 [515]~P4(x5153)+~P10(x5152,f10(x5151,x5153),x5153)+P10(x5151,f10(x5152,x5153),x5153)
% 0.75/1.21 [517]~P4(x5173)+~P9(x5172,f10(x5171,x5173),x5173)+P9(x5171,f10(x5172,x5173),x5173)
% 0.75/1.21 [518]~P3(x5182)+~P10(f6(x5181,x5182),x5183,x5182)+P10(f10(x5181,x5182),x5183,x5182)
% 0.75/1.21 [520]~P4(x5202)+~P10(f10(x5203,x5202),x5201,x5202)+P10(f10(x5201,x5202),x5203,x5202)
% 0.75/1.21 [522]~P4(x5222)+~P9(f10(x5223,x5222),x5221,x5222)+P9(f10(x5221,x5222),x5223,x5222)
% 0.75/1.21 [523]~P26(x5232)+~P9(f6(x5231,x5232),x5233,x5232)+P9(f10(x5231,x5232),x5233,x5232)
% 0.75/1.21 [527]~P4(x5273)+P10(x5271,x5272,x5273)+~P10(f10(x5272,x5273),f10(x5271,x5273),x5273)
% 0.75/1.21 [528]~P4(x5283)+P9(x5281,x5282,x5283)+~P9(f10(x5282,x5283),f10(x5281,x5283),x5283)
% 0.75/1.21 [586]~P5(x5863)+~P9(x5861,f10(x5862,x5863),x5863)+P9(f9(x5861,x5862,x5863),f3(x5863),x5863)
% 0.75/1.21 [628]~P5(x6283)+~P9(f9(x6281,x6282,x6283),f3(x6283),x6283)+P9(x6281,f10(x6282,x6283),x6283)
% 0.75/1.21 [688]~P10(x6881,x6883,a1)+P10(f11(x6881,x6882,a1),f11(x6883,x6882,a1),a1)+~P10(f3(a1),x6882,a1)
% 0.75/1.21 [689]~P10(x6892,x6893,a1)+P10(f11(x6891,x6892,a1),f11(x6891,x6893,a1),a1)+~P10(f3(a1),x6891,a1)
% 0.75/1.21 [690]~P9(x6901,x6903,a1)+P9(f11(x6901,x6902,a1),f11(x6903,x6902,a1),a1)+~P10(f3(a1),x6902,a1)
% 0.75/1.21 [691]~P9(x6912,x6913,a1)+P9(f11(x6911,x6912,a1),f11(x6911,x6913,a1),a1)+~P10(f3(a1),x6911,a1)
% 0.75/1.21 [751]P10(x7511,x7512,a1)+~P10(f11(x7511,x7513,a1),f11(x7512,x7513,a1),a1)+~P10(f3(a1),x7513,a1)
% 0.75/1.21 [752]P9(x7521,x7522,a1)+~P9(f11(x7523,x7521,a1),f11(x7523,x7522,a1),a1)+~P10(f3(a1),x7523,a1)
% 0.75/1.21 [753]P9(x7531,x7532,a1)+~P9(f11(x7531,x7533,a1),f11(x7532,x7533,a1),a1)+~P10(f3(a1),x7533,a1)
% 0.75/1.21 [546]~P24(x5462)+~P45(x5462)+E(f11(f5(x5461,x5462),f5(x5463,x5462),x5462),f5(f11(x5461,x5463,x5462),x5462))
% 0.75/1.21 [548]~P56(x5482)+~P25(x5482)+E(f11(f16(x5481,x5482),f16(x5483,x5482),x5482),f16(f9(x5481,x5483,x5482),x5482))
% 0.75/1.21 [587]~P3(x5872)+~P9(f3(x5872),x5873,x5872)+E(f11(f6(x5871,x5872),x5873,x5872),f6(f11(x5871,x5873,x5872),x5872))
% 0.75/1.21 [700]~P2(x7002)+E(x7001,f3(x7002))+~E(f9(f11(x7003,x7003,x7002),f11(x7001,x7001,x7002),x7002),f3(x7002))
% 0.75/1.21 [701]~P2(x7012)+E(x7011,f3(x7012))+~E(f9(f11(x7011,x7011,x7012),f11(x7013,x7013,x7012),x7012),f3(x7012))
% 0.75/1.21 [702]E(x7021,f3(a1))+~P9(x7022,f3(a1),a1)+~P9(f6(x7021,a1),f11(x7022,f6(x7023,a1),a1),a1)
% 0.75/1.21 [769]~P2(x7692)+E(x7691,f3(x7692))+P10(f3(x7692),f9(f11(x7693,x7693,x7692),f11(x7691,x7691,x7692),x7692),x7692)
% 0.75/1.21 [770]~P2(x7702)+E(x7701,f3(x7702))+P10(f3(x7702),f9(f11(x7701,x7701,x7702),f11(x7703,x7703,x7702),x7702),x7702)
% 0.75/1.21 [790]~P2(x7902)+E(x7901,f3(x7902))+~P9(f9(f11(x7903,x7903,x7902),f11(x7901,x7901,x7902),x7902),f3(x7902),x7902)
% 0.75/1.21 [791]~P2(x7912)+E(x7911,f3(x7912))+~P9(f9(f11(x7911,x7911,x7912),f11(x7913,x7913,x7912),x7912),f3(x7912),x7912)
% 0.75/1.21 [438]~P17(x4384)+E(x4381,x4382)+~E(f9(x4383,x4381,x4384),f9(x4383,x4382,x4384))
% 0.75/1.21 [439]~P18(x4394)+E(x4391,x4392)+~E(f9(x4393,x4391,x4394),f9(x4393,x4392,x4394))
% 0.75/1.21 [440]~P17(x4404)+E(x4401,x4402)+~E(f9(x4401,x4403,x4404),f9(x4402,x4403,x4404))
% 0.75/1.21 [633]~P30(x6333)+~P10(x6331,x6334,x6333)+P10(f9(x6331,x6332,x6333),f9(x6334,x6332,x6333),x6333)
% 0.75/1.21 [634]~P33(x6343)+~P10(x6341,x6344,x6343)+P10(f9(x6341,x6342,x6343),f9(x6344,x6342,x6343),x6343)
% 0.75/1.21 [635]~P30(x6353)+~P10(x6352,x6354,x6353)+P10(f9(x6351,x6352,x6353),f9(x6351,x6354,x6353),x6353)
% 0.75/1.21 [636]~P33(x6363)+~P10(x6362,x6364,x6363)+P10(f9(x6361,x6362,x6363),f9(x6361,x6364,x6363),x6363)
% 0.75/1.21 [637]~P30(x6373)+~P9(x6371,x6374,x6373)+P9(f9(x6371,x6372,x6373),f9(x6374,x6372,x6373),x6373)
% 0.75/1.21 [638]~P31(x6383)+~P9(x6381,x6384,x6383)+P9(f9(x6381,x6382,x6383),f9(x6384,x6382,x6383),x6383)
% 0.75/1.21 [639]~P30(x6393)+~P9(x6392,x6394,x6393)+P9(f9(x6391,x6392,x6393),f9(x6391,x6394,x6393),x6393)
% 0.75/1.21 [640]~P31(x6403)+~P9(x6402,x6404,x6403)+P9(f9(x6401,x6402,x6403),f9(x6401,x6404,x6403),x6403)
% 0.75/1.21 [729]~P30(x7293)+P10(x7291,x7292,x7293)+~P10(f9(x7294,x7291,x7293),f9(x7294,x7292,x7293),x7293)
% 0.75/1.21 [730]~P30(x7303)+P10(x7301,x7302,x7303)+~P10(f9(x7301,x7304,x7303),f9(x7302,x7304,x7303),x7303)
% 0.75/1.21 [731]~P30(x7313)+P9(x7311,x7312,x7313)+~P9(f9(x7314,x7311,x7313),f9(x7314,x7312,x7313),x7313)
% 0.75/1.21 [732]~P30(x7323)+P9(x7321,x7322,x7323)+~P9(f9(x7321,x7324,x7323),f9(x7322,x7324,x7323),x7323)
% 0.75/1.21 [568]~P7(x5683)+E(x5681,f10(x5682,x5683))+~E(f9(x5681,f9(x5684,x5682,x5683),x5683),x5684)
% 0.75/1.21 [728]~P20(x7284)+~P9(f9(x7281,x7283,x7284),x7282,x7284)+P9(x7281,f9(x7282,f6(x7283,x7284),x7284),x7284)
% 0.75/1.21 [748]~P43(x7483)+~P8(x7483)+E(f9(f11(x7481,x7482,x7483),f11(x7481,x7484,x7483),x7483),f9(f11(x7481,x7484,x7483),f11(x7481,x7482,x7483),x7483))
% 0.75/1.21 [679]~P7(x6793)+E(f9(x6791,x6792,x6793),x6794)+~E(f9(x6791,f9(x6795,x6792,x6793),x6793),f9(x6795,x6794,x6793))
% 0.75/1.21 [266]~P24(x2662)+~P45(x2662)+~E(f5(x2661,x2662),f4(x2662))+E(x2661,f4(x2662))
% 0.75/1.21 [319]~P29(x3192)+~P20(x3192)+P10(x3191,f3(x3192),x3192)+E(f6(x3191,x3192),x3191)
% 0.75/1.21 [387]~P58(x3872)+~P10(f3(x3872),x3871,x3872)+E(f8(x3871,x3872),f4(x3872))+E(x3871,f3(x3872))
% 0.75/1.21 [395]~P29(x3952)+~P20(x3952)+~P10(x3951,f3(x3952),x3952)+E(f6(x3951,x3952),f10(x3951,x3952))
% 0.75/1.21 [468]E(x4681,x4682)+~E(f15(x4681),f15(x4682))+~P10(f3(a1),x4682,a1)+~P10(f3(a1),x4681,a1)
% 0.75/1.21 [479]~P23(x4791)+~P24(x4791)+~P9(f3(x4791),x4792,x4791)+P9(f3(x4791),f5(x4792,x4791),x4791)
% 0.75/1.21 [481]~P23(x4812)+~P24(x4812)+~P9(x4811,f3(x4812),x4812)+P10(f5(x4811,x4812),f4(x4812),x4812)
% 0.75/1.21 [482]~P23(x4822)+~P24(x4822)+~P9(x4821,f3(x4822),x4822)+P9(f5(x4821,x4822),f3(x4822),x4822)
% 0.75/1.21 [483]~P23(x4832)+~P24(x4832)+~P9(x4831,f3(x4832),x4832)+P9(f5(x4831,x4832),f4(x4832),x4832)
% 0.75/1.21 [484]~P23(x4842)+~P24(x4842)+~P10(f4(x4842),x4841,x4842)+P10(f5(x4841,x4842),f4(x4842),x4842)
% 0.75/1.21 [485]~P23(x4852)+~P24(x4852)+~P9(f4(x4852),x4851,x4852)+P9(f5(x4851,x4852),f4(x4852),x4852)
% 0.75/1.21 [504]~P23(x5042)+~P10(f5(x5041,x5042),f3(x5042),x5042)+P10(x5041,f3(x5042),x5042)+E(x5041,f3(x5042))
% 0.75/1.21 [505]~P23(x5052)+~P10(f3(x5052),f5(x5051,x5052),x5052)+P10(f3(x5052),x5051,x5052)+E(x5051,f3(x5052))
% 0.75/1.21 [506]~P23(x5062)+~P24(x5062)+~P10(f4(x5062),f5(x5061,x5062),x5062)+P10(x5061,f4(x5062),x5062)
% 0.75/1.21 [507]~P23(x5072)+~P24(x5072)+~P9(f4(x5072),f5(x5071,x5072),x5072)+P9(x5071,f4(x5072),x5072)
% 0.75/1.21 [508]~P23(x5082)+~P24(x5082)+~P10(f5(x5081,x5082),f3(x5082),x5082)+P10(x5081,f3(x5082),x5082)
% 0.75/1.21 [509]~P23(x5092)+~P24(x5092)+~P9(f5(x5091,x5092),f3(x5092),x5092)+P9(x5091,f3(x5092),x5092)
% 0.75/1.21 [510]~P23(x5101)+~P24(x5101)+~P10(f3(x5101),f5(x5102,x5101),x5101)+P10(f3(x5101),x5102,x5101)
% 0.75/1.21 [511]~P23(x5111)+~P24(x5111)+~P10(f4(x5111),f5(x5112,x5111),x5111)+P10(f3(x5111),x5112,x5111)
% 0.75/1.21 [512]~P23(x5121)+~P24(x5121)+~P9(f4(x5121),f5(x5122,x5121),x5121)+P10(f3(x5121),x5122,x5121)
% 0.75/1.21 [513]~P23(x5131)+~P24(x5131)+~P9(f3(x5131),f5(x5132,x5131),x5131)+P9(f3(x5131),x5132,x5131)
% 0.75/1.21 [592]~P10(x5921,x5922,a1)+P10(f15(x5921),f15(x5922),a1)+~P10(f3(a1),x5922,a1)+~P10(f3(a1),x5921,a1)
% 0.75/1.21 [593]~P9(x5931,x5932,a1)+P9(f15(x5931),f15(x5932),a1)+~P10(f3(a1),x5932,a1)+~P10(f3(a1),x5931,a1)
% 0.75/1.21 [619]P10(x6191,x6192,a1)+~P10(f15(x6191),f15(x6192),a1)+~P10(f3(a1),x6192,a1)+~P10(f3(a1),x6191,a1)
% 0.75/1.21 [620]P9(x6201,x6202,a1)+~P9(f15(x6201),f15(x6202),a1)+~P10(f3(a1),x6202,a1)+~P10(f3(a1),x6201,a1)
% 0.75/1.21 [352]~P58(x3522)+P10(f3(x3522),x3521,x3522)+E(x3521,f3(x3522))+E(f8(x3521,x3522),f10(f4(x3522),x3522))
% 0.75/1.21 [379]P10(x3791,x3792,x3793)+~P3(x3793)+E(x3791,x3792)+P10(x3792,x3791,x3793)
% 0.75/1.21 [383]P10(x3831,x3832,x3833)+~P29(x3833)+E(x3831,x3832)+P10(x3832,x3831,x3833)
% 0.75/1.21 [405]~P29(x4053)+~P9(x4051,x4052,x4053)+E(x4051,x4052)+P10(x4051,x4052,x4053)
% 0.75/1.21 [411]~P34(x4113)+~P9(x4111,x4112,x4113)+E(x4111,x4112)+P10(x4111,x4112,x4113)
% 0.75/1.21 [448]~P9(x4482,x4481,x4483)+~P9(x4481,x4482,x4483)+E(x4481,x4482)+~P34(x4483)
% 0.75/1.21 [489]P9(x4892,x4891,x4893)+~P35(x4893)+~P9(x4891,x4892,x4893)+P10(x4891,x4892,x4893)
% 0.75/1.21 [273]~P24(x2733)+~P44(x2733)+E(x2731,x2732)+~E(f5(x2731,x2733),f5(x2732,x2733))
% 0.75/1.21 [350]~P43(x3502)+~P8(x3502)+~E(f9(x3503,x3501,x3502),x3503)+E(x3501,f3(x3502))
% 0.75/1.21 [355]~P59(x3552)+~E(f11(x3553,x3551,x3552),f3(x3552))+E(x3551,f3(x3552))+E(x3553,f3(x3552))
% 0.75/1.21 [357]~P49(x3572)+~E(f11(x3573,x3571,x3572),f3(x3572))+E(x3571,f3(x3572))+E(x3573,f3(x3572))
% 0.75/1.21 [477]~P43(x4773)+E(x4771,x4772)+~E(f11(x4771,x4771,x4773),f11(x4772,x4772,x4773))+E(x4771,f10(x4772,x4773))
% 0.75/1.21 [577]~P23(x5772)+~P10(x5773,x5771,x5772)+~P10(x5771,f3(x5772),x5772)+P10(f5(x5771,x5772),f5(x5773,x5772),x5772)
% 0.75/1.21 [578]~P23(x5782)+~P9(x5783,x5781,x5782)+~P10(x5781,f3(x5782),x5782)+P9(f5(x5781,x5782),f5(x5783,x5782),x5782)
% 0.75/1.21 [579]~P23(x5792)+~P10(x5793,x5791,x5792)+~P10(f3(x5792),x5793,x5792)+P10(f5(x5791,x5792),f5(x5793,x5792),x5792)
% 0.75/1.21 [580]~P23(x5802)+~P9(x5803,x5801,x5802)+~P10(f3(x5802),x5803,x5802)+P9(f5(x5801,x5802),f5(x5803,x5802),x5802)
% 0.75/1.21 [583]~P3(x5832)+~P10(x5831,x5833,x5832)+~P10(f10(x5831,x5832),x5833,x5832)+P10(f6(x5831,x5832),x5833,x5832)
% 0.75/1.21 [585]~P26(x5852)+~P9(x5851,x5853,x5852)+~P9(f10(x5851,x5852),x5853,x5852)+P9(f6(x5851,x5852),x5853,x5852)
% 0.75/1.21 [588]~P23(x5883)+P10(x5881,x5882,x5883)+~P10(x5881,f3(x5883),x5883)+~P10(f5(x5882,x5883),f5(x5881,x5883),x5883)
% 0.75/1.21 [589]~P23(x5893)+P9(x5891,x5892,x5893)+~P10(x5891,f3(x5893),x5893)+~P9(f5(x5892,x5893),f5(x5891,x5893),x5893)
% 0.75/1.21 [590]~P23(x5903)+P10(x5901,x5902,x5903)+~P10(f3(x5903),x5902,x5903)+~P10(f5(x5902,x5903),f5(x5901,x5903),x5903)
% 0.75/1.21 [591]~P23(x5913)+P9(x5911,x5912,x5913)+~P10(f3(x5913),x5912,x5913)+~P9(f5(x5912,x5913),f5(x5911,x5913),x5913)
% 0.75/1.21 [641]~P2(x6411)+~P10(x6413,f3(x6411),x6411)+~P10(x6412,f3(x6411),x6411)+P10(f3(x6411),f11(x6412,x6413,x6411),x6411)
% 0.75/1.21 [642]~P2(x6421)+~P9(x6423,f3(x6421),x6421)+~P9(x6422,f3(x6421),x6421)+P9(f3(x6421),f11(x6422,x6423,x6421),x6421)
% 0.75/1.21 [644]~P52(x6441)+~P9(x6443,f3(x6441),x6441)+~P9(x6442,f3(x6441),x6441)+P9(f3(x6441),f11(x6442,x6443,x6441),x6441)
% 0.75/1.21 [645]~P1(x6451)+~P10(f3(x6451),x6453,x6451)+~P10(f3(x6451),x6452,x6451)+P10(f3(x6451),f11(x6452,x6453,x6451),x6451)
% 0.75/1.21 [646]~P32(x6461)+~P10(f3(x6461),x6463,x6461)+~P10(f3(x6461),x6462,x6461)+P10(f3(x6461),f9(x6462,x6463,x6461),x6461)
% 0.75/1.21 [647]~P32(x6471)+~P10(f3(x6471),x6473,x6471)+~P9(f3(x6471),x6472,x6471)+P10(f3(x6471),f9(x6472,x6473,x6471),x6471)
% 0.75/1.21 [648]~P32(x6481)+~P10(f3(x6481),x6482,x6481)+~P9(f3(x6481),x6483,x6481)+P10(f3(x6481),f9(x6482,x6483,x6481),x6481)
% 0.75/1.21 [649]~P50(x6491)+~P10(f4(x6491),x6493,x6491)+~P10(f4(x6491),x6492,x6491)+P10(f4(x6491),f11(x6492,x6493,x6491),x6491)
% 0.75/1.21 [650]~P2(x6501)+~P9(f3(x6501),x6503,x6501)+~P9(f3(x6501),x6502,x6501)+P9(f3(x6501),f11(x6502,x6503,x6501),x6501)
% 0.75/1.21 [651]~P52(x6511)+~P9(f3(x6511),x6513,x6511)+~P9(f3(x6511),x6512,x6511)+P9(f3(x6511),f11(x6512,x6513,x6511),x6511)
% 0.75/1.21 [652]~P53(x6521)+~P9(f3(x6521),x6523,x6521)+~P9(f3(x6521),x6522,x6521)+P9(f3(x6521),f11(x6522,x6523,x6521),x6521)
% 0.75/1.21 [653]~P32(x6531)+~P9(f3(x6531),x6533,x6531)+~P9(f3(x6531),x6532,x6531)+P9(f3(x6531),f9(x6532,x6533,x6531),x6531)
% 0.75/1.21 [654]~P32(x6543)+~P10(x6542,f3(x6543),x6543)+~P10(x6541,f3(x6543),x6543)+P10(f9(x6541,x6542,x6543),f3(x6543),x6543)
% 0.75/1.21 [655]~P32(x6553)+~P10(x6552,f3(x6553),x6553)+~P9(x6551,f3(x6553),x6553)+P10(f9(x6551,x6552,x6553),f3(x6553),x6553)
% 0.75/1.21 [656]~P32(x6563)+~P10(x6561,f3(x6563),x6563)+~P9(x6562,f3(x6563),x6563)+P10(f9(x6561,x6562,x6563),f3(x6563),x6563)
% 0.75/1.21 [657]~P32(x6573)+~P9(x6572,f3(x6573),x6573)+~P9(x6571,f3(x6573),x6573)+P9(f9(x6571,x6572,x6573),f3(x6573),x6573)
% 0.75/1.21 [658]~P1(x6583)+~P10(x6582,f3(x6583),x6583)+~P10(f3(x6583),x6581,x6583)+P10(f11(x6581,x6582,x6583),f3(x6583),x6583)
% 0.75/1.21 [660]~P1(x6603)+~P10(x6601,f3(x6603),x6603)+~P10(f3(x6603),x6602,x6603)+P10(f11(x6601,x6602,x6603),f3(x6603),x6603)
% 0.75/1.21 [661]~P2(x6613)+~P9(x6612,f3(x6613),x6613)+~P9(f3(x6613),x6611,x6613)+P9(f11(x6611,x6612,x6613),f3(x6613),x6613)
% 0.75/1.21 [662]~P2(x6623)+~P9(x6621,f3(x6623),x6623)+~P9(f3(x6623),x6622,x6623)+P9(f11(x6621,x6622,x6623),f3(x6623),x6623)
% 0.75/1.21 [664]~P53(x6643)+~P9(x6642,f3(x6643),x6643)+~P9(f3(x6643),x6641,x6643)+P9(f11(x6641,x6642,x6643),f3(x6643),x6643)
% 0.75/1.21 [667]~P53(x6673)+~P9(x6671,f3(x6673),x6673)+~P9(f3(x6673),x6672,x6673)+P9(f11(x6671,x6672,x6673),f3(x6673),x6673)
% 0.75/1.21 [671]~P2(x6712)+~P9(f11(x6713,x6711,x6712),f3(x6712),x6712)+P9(x6711,f3(x6712),x6712)+P9(x6713,f3(x6712),x6712)
% 0.75/1.21 [672]~P2(x6722)+~P9(f3(x6722),f11(x6723,x6721,x6722),x6722)+P9(x6721,f3(x6722),x6722)+P9(f3(x6722),x6723,x6722)
% 0.75/1.21 [673]~P2(x6732)+~P9(f3(x6732),f11(x6731,x6733,x6732),x6732)+P9(x6731,f3(x6732),x6732)+P9(f3(x6732),x6733,x6732)
% 0.75/1.21 [674]~P2(x6742)+~P9(f3(x6742),f11(x6743,x6741,x6742),x6742)+P9(x6741,f3(x6742),x6742)+P9(f3(x6742),x6741,x6742)
% 0.75/1.21 [675]~P2(x6752)+~P9(f3(x6752),f11(x6751,x6753,x6752),x6752)+P9(x6751,f3(x6752),x6752)+P9(f3(x6752),x6751,x6752)
% 0.75/1.21 [676]~P2(x6762)+~P9(f11(x6763,x6761,x6762),f3(x6762),x6762)+P9(x6761,f3(x6762),x6762)+P9(f3(x6762),x6761,x6762)
% 0.75/1.21 [677]~P2(x6772)+~P9(f11(x6771,x6773,x6772),f3(x6772),x6772)+P9(x6771,f3(x6772),x6772)+P9(f3(x6772),x6771,x6772)
% 0.75/1.21 [678]~P2(x6781)+~P9(f11(x6782,x6783,x6781),f3(x6781),x6781)+P9(f3(x6781),x6782,x6781)+P9(f3(x6781),x6783,x6781)
% 0.75/1.21 [686]~P1(x6861)+~P10(f3(x6861),f11(x6863,x6862,x6861),x6861)+P10(f3(x6861),x6862,x6861)+~P10(f3(x6861),x6863,x6861)
% 0.75/1.21 [687]~P1(x6871)+~P10(f3(x6871),f11(x6872,x6873,x6871),x6871)+P10(f3(x6871),x6872,x6871)+~P10(f3(x6871),x6873,x6871)
% 0.75/1.21 [554]~P44(x5542)+E(x5541,f3(x5542))+E(x5543,f3(x5542))+E(f11(f5(x5541,x5542),f5(x5543,x5542),x5542),f5(f11(x5543,x5541,x5542),x5542))
% 0.75/1.21 [669]~P27(x6692)+~P9(x6693,f14(x6691,x6692),a1)+~P10(f3(a1),x6693,a1)+P9(f14(f5(x6691,x6692),x6692),f5(x6693,a1),a1)
% 0.75/1.21 [682]~P55(x6822)+~P9(x6823,f3(x6822),x6822)+~P9(x6821,f3(x6822),x6822)+E(f11(f6(x6821,x6822),f6(x6823,x6822),x6822),f6(f11(x6821,x6823,x6822),x6822))
% 0.75/1.21 [683]~P55(x6832)+~P9(x6833,f3(x6832),x6832)+~P9(f3(x6832),x6831,x6832)+E(f11(f6(x6831,x6832),f6(x6833,x6832),x6832),f6(f11(x6831,x6833,x6832),x6832))
% 0.75/1.21 [684]~P55(x6842)+~P9(x6841,f3(x6842),x6842)+~P9(f3(x6842),x6843,x6842)+E(f11(f6(x6841,x6842),f6(x6843,x6842),x6842),f6(f11(x6841,x6843,x6842),x6842))
% 0.75/1.21 [685]~P55(x6852)+~P9(f3(x6852),x6853,x6852)+~P9(f3(x6852),x6851,x6852)+E(f11(f6(x6851,x6852),f6(x6853,x6852),x6852),f6(f11(x6851,x6853,x6852),x6852))
% 0.75/1.21 [754]~P44(x7542)+E(x7541,f3(x7542))+E(x7543,f3(x7542))+E(f11(f11(f5(x7543,x7542),f9(x7543,x7541,x7542),x7542),f5(x7541,x7542),x7542),f9(f5(x7543,x7542),f5(x7541,x7542),x7542))
% 0.75/1.21 [755]~P45(x7552)+E(x7551,f3(x7552))+E(x7553,f3(x7552))+E(f11(f11(f9(x7553,x7551,x7552),f5(x7553,x7552),x7552),f5(x7551,x7552),x7552),f9(f5(x7553,x7552),f5(x7551,x7552),x7552))
% 0.75/1.21 [535]~P34(x5353)+~P10(x5351,x5354,x5353)+P10(x5351,x5352,x5353)+~P10(x5354,x5352,x5353)
% 0.75/1.21 [536]~P34(x5363)+~P9(x5361,x5364,x5363)+P10(x5361,x5362,x5363)+~P10(x5364,x5362,x5363)
% 0.75/1.21 [537]~P34(x5373)+~P9(x5374,x5372,x5373)+P10(x5371,x5372,x5373)+~P10(x5371,x5374,x5373)
% 0.75/1.21 [538]~P35(x5383)+~P10(x5381,x5384,x5383)+P10(x5381,x5382,x5383)+~P10(x5384,x5382,x5383)
% 0.75/1.21 [539]~P35(x5393)+~P9(x5391,x5394,x5393)+P10(x5391,x5392,x5393)+~P10(x5394,x5392,x5393)
% 0.75/1.21 [540]~P35(x5403)+~P9(x5404,x5402,x5403)+P10(x5401,x5402,x5403)+~P10(x5401,x5404,x5403)
% 0.75/1.21 [541]~P34(x5413)+~P9(x5411,x5414,x5413)+P9(x5411,x5412,x5413)+~P9(x5414,x5412,x5413)
% 0.75/1.21 [542]~P35(x5423)+~P9(x5421,x5424,x5423)+P9(x5421,x5422,x5423)+~P9(x5424,x5422,x5423)
% 0.75/1.21 [457]~P43(x4574)+~P8(x4574)+E(x4571,x4572)+~E(f9(x4573,x4571,x4574),f9(x4573,x4572,x4574))
% 0.75/1.21 [627]~P50(x6274)+~P10(x6271,x6273,x6274)+~P10(f3(x6274),x6272,x6274)+P10(x6271,f9(x6272,x6273,x6274),x6274)
% 0.75/1.21 [710]~P2(x7103)+~P10(x7104,x7101,x7103)+~P10(x7102,f3(x7103),x7103)+P10(f11(x7101,x7102,x7103),f11(x7104,x7102,x7103),x7103)
% 0.75/1.21 [713]~P2(x7133)+~P10(x7134,x7132,x7133)+~P10(x7131,f3(x7133),x7133)+P10(f11(x7131,x7132,x7133),f11(x7131,x7134,x7133),x7133)
% 0.75/1.21 [714]~P52(x7143)+~P9(x7144,x7141,x7143)+~P9(x7142,f3(x7143),x7143)+P9(f11(x7141,x7142,x7143),f11(x7144,x7142,x7143),x7143)
% 0.75/1.21 [715]~P2(x7153)+~P9(x7154,x7152,x7153)+~P10(x7151,f3(x7153),x7153)+P9(f11(x7151,x7152,x7153),f11(x7151,x7154,x7153),x7153)
% 0.75/1.21 [716]~P52(x7163)+~P9(x7164,x7162,x7163)+~P9(x7161,f3(x7163),x7163)+P9(f11(x7161,x7162,x7163),f11(x7161,x7164,x7163),x7163)
% 0.75/1.21 [717]~P1(x7173)+~P10(x7171,x7174,x7173)+~P10(f3(x7173),x7172,x7173)+P10(f11(x7171,x7172,x7173),f11(x7174,x7172,x7173),x7173)
% 0.75/1.21 [718]~P2(x7183)+~P10(x7181,x7184,x7183)+~P10(f3(x7183),x7182,x7183)+P10(f11(x7181,x7182,x7183),f11(x7184,x7182,x7183),x7183)
% 0.75/1.21 [719]~P1(x7193)+~P10(x7192,x7194,x7193)+~P10(f3(x7193),x7191,x7193)+P10(f11(x7191,x7192,x7193),f11(x7191,x7194,x7193),x7193)
% 0.75/1.21 [721]~P2(x7213)+~P10(x7212,x7214,x7213)+~P10(f3(x7213),x7211,x7213)+P10(f11(x7211,x7212,x7213),f11(x7211,x7214,x7213),x7213)
% 0.75/1.21 [722]~P47(x7223)+~P10(x7222,x7224,x7223)+~P10(f3(x7223),x7221,x7223)+P10(f11(x7221,x7222,x7223),f11(x7221,x7224,x7223),x7223)
% 0.75/1.21 [723]~P42(x7233)+~P9(x7231,x7234,x7233)+~P9(f3(x7233),x7232,x7233)+P9(f11(x7231,x7232,x7233),f11(x7234,x7232,x7233),x7233)
% 0.75/1.21 [724]~P2(x7243)+~P9(x7242,x7244,x7243)+~P10(f3(x7243),x7241,x7243)+P9(f11(x7241,x7242,x7243),f11(x7241,x7244,x7243),x7243)
% 0.75/1.21 [725]~P41(x7253)+~P9(x7252,x7254,x7253)+~P9(f3(x7253),x7251,x7253)+P9(f11(x7251,x7252,x7253),f11(x7251,x7254,x7253),x7253)
% 0.75/1.21 [726]~P42(x7263)+~P9(x7262,x7264,x7263)+~P9(f3(x7263),x7261,x7263)+P9(f11(x7261,x7262,x7263),f11(x7261,x7264,x7263),x7263)
% 0.75/1.21 [739]P10(x7392,x7391,x7393)+~P2(x7393)+P10(x7391,x7392,x7393)+~P10(f11(x7394,x7391,x7393),f11(x7394,x7392,x7393),x7393)
% 0.75/1.21 [740]P10(x7402,x7401,x7403)+~P2(x7403)+P10(x7401,x7402,x7403)+~P10(f11(x7401,x7404,x7403),f11(x7402,x7404,x7403),x7403)
% 0.75/1.21 [743]~P2(x7433)+P10(x7431,x7432,x7433)+~P10(f11(x7431,x7434,x7433),f11(x7432,x7434,x7433),x7433)+P10(x7434,f3(x7433),x7433)
% 0.75/1.21 [744]~P2(x7443)+P10(x7441,x7442,x7443)+~P10(f11(x7444,x7441,x7443),f11(x7444,x7442,x7443),x7443)+P10(x7444,f3(x7443),x7443)
% 0.75/1.21 [745]~P2(x7453)+P10(x7451,x7452,x7453)+~P10(f11(x7454,x7452,x7453),f11(x7454,x7451,x7453),x7453)+P10(f3(x7453),x7454,x7453)
% 0.75/1.21 [746]~P2(x7463)+P10(x7461,x7462,x7463)+~P10(f11(x7462,x7464,x7463),f11(x7461,x7464,x7463),x7463)+P10(f3(x7463),x7464,x7463)
% 0.75/1.21 [749]~P2(x7492)+~P10(f11(x7493,x7491,x7492),f11(x7494,x7491,x7492),x7492)+P10(x7491,f3(x7492),x7492)+P10(f3(x7492),x7491,x7492)
% 0.75/1.21 [750]~P2(x7502)+~P10(f11(x7501,x7503,x7502),f11(x7501,x7504,x7502),x7502)+P10(x7501,f3(x7502),x7502)+P10(f3(x7502),x7501,x7502)
% 0.75/1.21 [758]~P2(x7583)+P10(x7581,x7582,x7583)+~P10(f11(x7584,x7582,x7583),f11(x7584,x7581,x7583),x7583)+~P10(x7584,f3(x7583),x7583)
% 0.75/1.21 [759]~P2(x7593)+P9(x7591,x7592,x7593)+~P9(f11(x7594,x7592,x7593),f11(x7594,x7591,x7593),x7593)+~P10(x7594,f3(x7593),x7593)
% 0.75/1.21 [760]~P1(x7603)+P10(x7601,x7602,x7603)+~P10(f11(x7604,x7601,x7603),f11(x7604,x7602,x7603),x7603)+~P9(f3(x7603),x7604,x7603)
% 0.75/1.21 [761]~P1(x7613)+P10(x7611,x7612,x7613)+~P10(f11(x7611,x7614,x7613),f11(x7612,x7614,x7613),x7613)+~P9(f3(x7613),x7614,x7613)
% 0.75/1.21 [762]~P2(x7623)+P10(x7621,x7622,x7623)+~P10(f11(x7624,x7621,x7623),f11(x7624,x7622,x7623),x7623)+~P10(f3(x7623),x7624,x7623)
% 0.75/1.21 [763]~P51(x7633)+P10(x7631,x7632,x7633)+~P10(f11(x7634,x7631,x7633),f11(x7634,x7632,x7633),x7633)+~P9(f3(x7633),x7634,x7633)
% 0.75/1.21 [764]~P51(x7643)+P10(x7641,x7642,x7643)+~P10(f11(x7641,x7644,x7643),f11(x7642,x7644,x7643),x7643)+~P9(f3(x7643),x7644,x7643)
% 0.75/1.21 [765]~P1(x7653)+P9(x7651,x7652,x7653)+~P9(f11(x7654,x7651,x7653),f11(x7654,x7652,x7653),x7653)+~P10(f3(x7653),x7654,x7653)
% 0.75/1.21 [766]~P1(x7663)+P9(x7661,x7662,x7663)+~P9(f11(x7661,x7664,x7663),f11(x7662,x7664,x7663),x7663)+~P10(f3(x7663),x7664,x7663)
% 0.75/1.21 [767]~P2(x7673)+P9(x7671,x7672,x7673)+~P9(f11(x7674,x7671,x7673),f11(x7674,x7672,x7673),x7673)+~P10(f3(x7673),x7674,x7673)
% 0.75/1.21 [727]~P37(x7272)+E(x7271,f3(x7272))+~P9(x7273,f3(a1),a1)+~P9(f14(x7271,x7272),f11(x7273,f14(x7274,x7272),a1),a1)
% 0.75/1.21 [787]~P10(f11(x7874,x7871,a1),f11(x7872,x7873,a1),a1)+~P10(f3(a1),x7874,a1)+~P10(f3(a1),x7872,a1)+P10(f11(x7871,f5(x7872,a1),a1),f11(x7873,f5(x7874,a1),a1),a1)
% 0.75/1.21 [788]~P10(f11(x7883,x7882,a1),f11(x7881,x7884,a1),a1)+~P10(f3(a1),x7883,a1)+~P10(f3(a1),x7881,a1)+P10(f11(f5(x7881,a1),x7882,a1),f11(f5(x7883,a1),x7884,a1),a1)
% 0.75/1.21 [703]~P33(x7033)+~P10(x7032,x7035,x7033)+~P10(x7031,x7034,x7033)+P10(f9(x7031,x7032,x7033),f9(x7034,x7035,x7033),x7033)
% 0.75/1.21 [704]~P33(x7043)+~P10(x7042,x7045,x7043)+~P9(x7041,x7044,x7043)+P10(f9(x7041,x7042,x7043),f9(x7044,x7045,x7043),x7043)
% 0.75/1.21 [705]~P33(x7053)+~P10(x7051,x7054,x7053)+~P9(x7052,x7055,x7053)+P10(f9(x7051,x7052,x7053),f9(x7054,x7055,x7053),x7053)
% 0.75/1.21 [706]~P31(x7063)+~P9(x7062,x7065,x7063)+~P9(x7061,x7064,x7063)+P9(f9(x7061,x7062,x7063),f9(x7064,x7065,x7063),x7063)
% 0.75/1.21 [735]~P4(x7354)+~P9(x7355,x7353,x7354)+~P9(x7351,f9(x7352,x7355,x7354),x7354)+P9(x7351,f9(x7352,x7353,x7354),x7354)
% 0.75/1.21 [771]~P3(x7712)+~P10(f6(x7711,x7712),x7714,x7712)+~P10(f6(x7713,x7712),x7715,x7712)+P10(f11(f6(x7711,x7712),f6(x7713,x7712),x7712),f11(x7714,x7715,x7712),x7712)
% 0.75/1.21 [781]~P28(x7813)+~P10(f14(x7812,x7813),x7815,a1)+~P10(f14(x7811,x7813),x7814,a1)+P10(f14(f11(x7811,x7812,x7813),x7813),f11(x7814,x7815,a1),a1)
% 0.75/1.21 [782]~P37(x7823)+~P10(f14(x7822,x7823),x7825,a1)+~P10(f14(x7821,x7823),x7824,a1)+P10(f14(f9(x7821,x7822,x7823),x7823),f9(x7824,x7825,a1),a1)
% 0.75/1.21 [565]~P23(x5652)+~P24(x5652)+P10(f4(x5652),x5651,x5652)+~P10(f5(x5651,x5652),f4(x5652),x5652)+P9(x5651,f3(x5652),x5652)
% 0.75/1.21 [566]~P23(x5662)+~P24(x5662)+P9(f4(x5662),x5661,x5662)+~P9(f5(x5661,x5662),f4(x5662),x5662)+P9(x5661,f3(x5662),x5662)
% 0.75/1.21 [575]~P23(x5751)+~P24(x5751)+~P10(f3(x5751),x5752,x5751)+~P10(x5752,f4(x5751),x5751)+P10(f4(x5751),f5(x5752,x5751),x5751)
% 0.75/1.21 [576]~P23(x5761)+~P24(x5761)+~P10(f3(x5761),x5762,x5761)+~P9(x5762,f4(x5761),x5761)+P9(f4(x5761),f5(x5762,x5761),x5761)
% 0.75/1.21 [282]~P44(x2823)+E(x2821,x2822)+~E(f5(x2821,x2823),f5(x2822,x2823))+E(x2822,f3(x2823))+E(x2821,f3(x2823))
% 0.75/1.21 [581]~P32(x5812)+~P9(f3(x5812),x5811,x5812)+~P9(f3(x5812),x5813,x5812)+~E(f9(x5813,x5811,x5812),f3(x5812))+E(x5811,f3(x5812))
% 0.75/1.21 [582]~P32(x5822)+~P9(f3(x5822),x5823,x5822)+~P9(f3(x5822),x5821,x5822)+~E(f9(x5821,x5823,x5822),f3(x5822))+E(x5821,f3(x5822))
% 0.75/1.21 [707]~P3(x7073)+~P9(x7071,f4(x7073),x7073)+~P9(f3(x7073),x7072,x7073)+~P9(f3(x7073),x7071,x7073)+P9(f11(x7071,x7072,x7073),x7072,x7073)
% 0.75/1.21 [708]~P3(x7083)+~P9(x7082,f4(x7083),x7083)+~P9(f3(x7083),x7082,x7083)+~P9(f3(x7083),x7081,x7083)+P9(f11(x7081,x7082,x7083),x7081,x7083)
% 0.75/1.21 [629]~P30(x6294)+~P16(x6294)+~P10(x6291,x6293,x6294)+~P9(f3(x6294),x6292,x6294)+P10(x6291,f9(x6292,x6293,x6294),x6294)
% 0.75/1.21 [630]~P30(x6304)+~P16(x6304)+~P9(x6301,x6303,x6304)+~P10(f3(x6304),x6302,x6304)+P10(x6301,f9(x6302,x6303,x6304),x6304)
% 0.75/1.21 [631]~P30(x6314)+~P16(x6314)+~P9(x6311,x6313,x6314)+~P9(f3(x6314),x6312,x6314)+P9(x6311,f9(x6312,x6313,x6314),x6314)
% 0.75/1.21 [632]~P30(x6324)+~P16(x6324)+~P9(x6321,x6322,x6324)+~P9(f3(x6324),x6323,x6324)+P9(x6321,f9(x6322,x6323,x6324),x6324)
% 0.75/1.21 [738]~P43(x7384)+~P8(x7384)+E(x7381,x7382)+E(x7383,f3(x7384))+~E(f9(x7385,f11(x7383,x7381,x7384),x7384),f9(x7385,f11(x7383,x7382,x7384),x7384))
% 0.75/1.21 [785]~P43(x7855)+~P8(x7855)+E(x7851,x7852)+E(x7853,x7854)+~E(f9(f11(x7853,x7851,x7855),f11(x7854,x7852,x7855),x7855),f9(f11(x7853,x7852,x7855),f11(x7854,x7851,x7855),x7855))
% 0.75/1.21 [772]~P1(x7723)+~P10(x7722,x7725,x7723)+~P10(x7721,x7724,x7723)+~P10(f3(x7723),x7724,x7723)+~P9(f3(x7723),x7722,x7723)+P10(f11(x7721,x7722,x7723),f11(x7724,x7725,x7723),x7723)
% 0.75/1.21 [773]~P1(x7733)+~P10(x7732,x7735,x7733)+~P10(x7731,x7734,x7733)+~P9(f3(x7733),x7732,x7733)+~P9(f3(x7733),x7731,x7733)+P10(f11(x7731,x7732,x7733),f11(x7734,x7735,x7733),x7733)
% 0.75/1.21 [774]~P1(x7743)+~P10(x7742,x7745,x7743)+~P9(x7741,x7744,x7743)+~P10(f3(x7743),x7741,x7743)+~P9(f3(x7743),x7742,x7743)+P10(f11(x7741,x7742,x7743),f11(x7744,x7745,x7743),x7743)
% 0.75/1.21 [775]~P1(x7753)+~P10(x7751,x7754,x7753)+~P9(x7752,x7755,x7753)+~P10(f3(x7753),x7752,x7753)+~P9(f3(x7753),x7751,x7753)+P10(f11(x7751,x7752,x7753),f11(x7754,x7755,x7753),x7753)
% 0.75/1.21 [776]~P54(x7763)+~P9(x7762,x7765,x7763)+~P9(x7761,x7764,x7763)+~P9(f3(x7763),x7764,x7763)+~P9(f3(x7763),x7762,x7763)+P9(f11(x7761,x7762,x7763),f11(x7764,x7765,x7763),x7763)
% 0.75/1.21 [777]~P54(x7773)+~P9(x7772,x7775,x7773)+~P9(x7771,x7774,x7773)+~P9(f3(x7773),x7772,x7773)+~P9(f3(x7773),x7771,x7773)+P9(f11(x7771,x7772,x7773),f11(x7774,x7775,x7773),x7773)
% 0.75/1.21 %EqnAxiom
% 0.75/1.21 [1]E(x11,x11)
% 0.75/1.21 [2]E(x22,x21)+~E(x21,x22)
% 0.75/1.21 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.75/1.21 [4]~E(x41,x42)+E(f3(x41),f3(x42))
% 0.75/1.21 [5]~E(x51,x52)+E(f12(x51),f12(x52))
% 0.75/1.21 [6]~E(x61,x62)+E(f9(x61,x63,x64),f9(x62,x63,x64))
% 0.75/1.21 [7]~E(x71,x72)+E(f9(x73,x71,x74),f9(x73,x72,x74))
% 0.75/1.21 [8]~E(x81,x82)+E(f9(x83,x84,x81),f9(x83,x84,x82))
% 0.75/1.21 [9]~E(x91,x92)+E(f11(x91,x93,x94),f11(x92,x93,x94))
% 0.75/1.21 [10]~E(x101,x102)+E(f11(x103,x101,x104),f11(x103,x102,x104))
% 0.75/1.21 [11]~E(x111,x112)+E(f11(x113,x114,x111),f11(x113,x114,x112))
% 0.75/1.21 [12]~E(x121,x122)+E(f13(x121),f13(x122))
% 0.75/1.21 [13]~E(x131,x132)+E(f4(x131),f4(x132))
% 0.75/1.21 [14]~E(x141,x142)+E(f6(x141,x143),f6(x142,x143))
% 0.75/1.21 [15]~E(x151,x152)+E(f6(x153,x151),f6(x153,x152))
% 0.75/1.21 [16]~E(x161,x162)+E(f15(x161),f15(x162))
% 0.75/1.21 [17]~E(x171,x172)+E(f10(x171,x173),f10(x172,x173))
% 0.75/1.21 [18]~E(x181,x182)+E(f10(x183,x181),f10(x183,x182))
% 0.75/1.21 [19]~E(x191,x192)+E(f8(x191,x193),f8(x192,x193))
% 0.75/1.21 [20]~E(x201,x202)+E(f8(x203,x201),f8(x203,x202))
% 0.75/1.21 [21]~E(x211,x212)+E(f14(x211,x213),f14(x212,x213))
% 0.75/1.21 [22]~E(x221,x222)+E(f14(x223,x221),f14(x223,x222))
% 0.75/1.21 [23]~E(x231,x232)+E(f5(x231,x233),f5(x232,x233))
% 0.75/1.21 [24]~E(x241,x242)+E(f5(x243,x241),f5(x243,x242))
% 0.75/1.21 [25]~E(x251,x252)+E(f16(x251,x253),f16(x252,x253))
% 0.75/1.21 [26]~E(x261,x262)+E(f16(x263,x261),f16(x263,x262))
% 0.75/1.21 [27]~E(x271,x272)+E(f7(x271),f7(x272))
% 0.75/1.21 [28]~E(x281,x282)+E(f19(x281),f19(x282))
% 0.75/1.21 [29]~E(x291,x292)+E(f18(x291),f18(x292))
% 0.75/1.21 [30]~P1(x301)+P1(x302)+~E(x301,x302)
% 0.75/1.21 [31]~P2(x311)+P2(x312)+~E(x311,x312)
% 0.75/1.21 [32]~P3(x321)+P3(x322)+~E(x321,x322)
% 0.75/1.21 [33]~P4(x331)+P4(x332)+~E(x331,x332)
% 0.75/1.21 [34]~P23(x341)+P23(x342)+~E(x341,x342)
% 0.75/1.21 [35]~P24(x351)+P24(x352)+~E(x351,x352)
% 0.75/1.21 [36]P10(x362,x363,x364)+~E(x361,x362)+~P10(x361,x363,x364)
% 0.75/1.21 [37]P10(x373,x372,x374)+~E(x371,x372)+~P10(x373,x371,x374)
% 0.75/1.21 [38]P10(x383,x384,x382)+~E(x381,x382)+~P10(x383,x384,x381)
% 0.75/1.21 [39]~P41(x391)+P41(x392)+~E(x391,x392)
% 0.75/1.21 [40]~P42(x401)+P42(x402)+~E(x401,x402)
% 0.75/1.21 [41]~P52(x411)+P52(x412)+~E(x411,x412)
% 0.75/1.21 [42]~P53(x421)+P53(x422)+~E(x421,x422)
% 0.75/1.21 [43]~P54(x431)+P54(x432)+~E(x431,x432)
% 0.75/1.21 [44]~P5(x441)+P5(x442)+~E(x441,x442)
% 0.75/1.21 [45]~P19(x451)+P19(x452)+~E(x451,x452)
% 0.75/1.21 [46]~P6(x461)+P6(x462)+~E(x461,x462)
% 0.75/1.21 [47]P9(x472,x473,x474)+~E(x471,x472)+~P9(x471,x473,x474)
% 0.75/1.21 [48]P9(x483,x482,x484)+~E(x481,x482)+~P9(x483,x481,x484)
% 0.75/1.21 [49]P9(x493,x494,x492)+~E(x491,x492)+~P9(x493,x494,x491)
% 0.75/1.21 [50]~P7(x501)+P7(x502)+~E(x501,x502)
% 0.75/1.21 [51]~P38(x511)+P38(x512)+~E(x511,x512)
% 0.75/1.21 [52]~P43(x521)+P43(x522)+~E(x521,x522)
% 0.75/1.21 [53]~P55(x531)+P55(x532)+~E(x531,x532)
% 0.75/1.21 [54]~P8(x541)+P8(x542)+~E(x541,x542)
% 0.75/1.21 [55]~P33(x551)+P33(x552)+~E(x551,x552)
% 0.75/1.21 [56]~P56(x561)+P56(x562)+~E(x561,x562)
% 0.75/1.21 [57]~P51(x571)+P51(x572)+~E(x571,x572)
% 0.75/1.21 [58]~P25(x581)+P25(x582)+~E(x581,x582)
% 0.75/1.21 [59]~P20(x591)+P20(x592)+~E(x591,x592)
% 0.75/1.21 [60]~P50(x601)+P50(x602)+~E(x601,x602)
% 0.75/1.21 [61]~P37(x611)+P37(x612)+~E(x611,x612)
% 0.75/1.21 [62]~P44(x621)+P44(x622)+~E(x621,x622)
% 0.75/1.21 [63]~P34(x631)+P34(x632)+~E(x631,x632)
% 0.75/1.21 [64]~P16(x641)+P16(x642)+~E(x641,x642)
% 0.75/1.21 [65]~P46(x651)+P46(x652)+~E(x651,x652)
% 0.75/1.21 [66]~P26(x661)+P26(x662)+~E(x661,x662)
% 0.75/1.21 [67]~P47(x671)+P47(x672)+~E(x671,x672)
% 0.75/1.21 [68]~P27(x681)+P27(x682)+~E(x681,x682)
% 0.75/1.21 [69]~P28(x691)+P28(x692)+~E(x691,x692)
% 0.75/1.21 [70]~P57(x701)+P57(x702)+~E(x701,x702)
% 0.75/1.21 [71]~P21(x711)+P21(x712)+~E(x711,x712)
% 0.75/1.21 [72]~P32(x721)+P32(x722)+~E(x721,x722)
% 0.75/1.21 [73]~P45(x731)+P45(x732)+~E(x731,x732)
% 0.75/1.21 [74]~P35(x741)+P35(x742)+~E(x741,x742)
% 0.75/1.21 [75]~P11(x751)+P11(x752)+~E(x751,x752)
% 0.75/1.21 [76]~P59(x761)+P59(x762)+~E(x761,x762)
% 0.75/1.21 [77]~P29(x771)+P29(x772)+~E(x771,x772)
% 0.75/1.21 [78]~P12(x781)+P12(x782)+~E(x781,x782)
% 0.75/1.21 [79]~P61(x791)+P61(x792)+~E(x791,x792)
% 0.75/1.21 [80]~P58(x801)+P58(x802)+~E(x801,x802)
% 0.75/1.21 [81]~P30(x811)+P30(x812)+~E(x811,x812)
% 0.75/1.21 [82]~P14(x821)+P14(x822)+~E(x821,x822)
% 0.75/1.21 [83]~P36(x831)+P36(x832)+~E(x831,x832)
% 0.75/1.21 [84]~P22(x841)+P22(x842)+~E(x841,x842)
% 0.75/1.21 [85]~P17(x851)+P17(x852)+~E(x851,x852)
% 0.75/1.21 [86]~P31(x861)+P31(x862)+~E(x861,x862)
% 0.75/1.21 [87]~P40(x871)+P40(x872)+~E(x871,x872)
% 0.75/1.21 [88]~P39(x881)+P39(x882)+~E(x881,x882)
% 0.75/1.21 [89]~P18(x891)+P18(x892)+~E(x891,x892)
% 0.75/1.21 [90]~P48(x901)+P48(x902)+~E(x901,x902)
% 0.75/1.21 [91]~P60(x911)+P60(x912)+~E(x911,x912)
% 0.75/1.21 [92]~P49(x921)+P49(x922)+~E(x921,x922)
% 0.75/1.21 [93]~P15(x931)+P15(x932)+~E(x931,x932)
% 0.75/1.21 [94]~P13(x941)+P13(x942)+~E(x941,x942)
% 0.75/1.21
% 0.75/1.21 %-------------------------------------------
% 0.95/1.21 cnf(795,plain,
% 0.95/1.21 (P9(f6(f7(f19(x7951)),a1),f9(a17,f4(a1),a1),a1)),
% 0.95/1.21 inference(rename_variables,[],[213])).
% 0.95/1.21 cnf(797,plain,
% 0.95/1.21 (P9(x7971,x7971,a1)),
% 0.95/1.21 inference(rename_variables,[],[193])).
% 0.95/1.21 cnf(802,plain,
% 0.95/1.21 (~P10(x8021,x8021,a1)),
% 0.95/1.21 inference(rename_variables,[],[224])).
% 0.95/1.21 cnf(805,plain,
% 0.95/1.21 (~P10(f9(f6(x8051,a1),f4(a1),a1),x8051,a1)),
% 0.95/1.21 inference(rename_variables,[],[228])).
% 0.95/1.21 cnf(814,plain,
% 0.95/1.21 (P9(x8141,x8141,a1)),
% 0.95/1.21 inference(rename_variables,[],[193])).
% 0.95/1.21 cnf(816,plain,
% 0.95/1.21 (P9(x8161,x8161,a1)),
% 0.95/1.21 inference(rename_variables,[],[193])).
% 0.95/1.21 cnf(818,plain,
% 0.95/1.21 (~P10(x8181,x8181,a1)),
% 0.95/1.21 inference(rename_variables,[],[224])).
% 0.95/1.21 cnf(820,plain,
% 0.95/1.21 (~P10(x8201,x8201,a1)),
% 0.95/1.21 inference(rename_variables,[],[224])).
% 0.95/1.21 cnf(830,plain,
% 0.95/1.21 (P9(x8301,x8301,a1)),
% 0.95/1.21 inference(rename_variables,[],[193])).
% 0.95/1.21 cnf(835,plain,
% 0.95/1.21 (~P10(x8351,x8351,a1)),
% 0.95/1.21 inference(rename_variables,[],[224])).
% 0.95/1.21 cnf(843,plain,
% 0.95/1.21 (~P10(x8431,x8431,a1)),
% 0.95/1.21 inference(rename_variables,[],[224])).
% 0.95/1.21 cnf(846,plain,
% 0.95/1.21 (~P10(x8461,x8461,a1)),
% 0.95/1.21 inference(rename_variables,[],[224])).
% 0.95/1.21 cnf(849,plain,
% 0.95/1.21 (~P10(x8491,x8491,a1)),
% 0.95/1.21 inference(rename_variables,[],[224])).
% 0.95/1.21 cnf(852,plain,
% 0.95/1.21 (~P10(x8521,x8521,a1)),
% 0.95/1.21 inference(rename_variables,[],[224])).
% 0.95/1.21 cnf(855,plain,
% 0.95/1.21 (~P10(x8551,x8551,a1)),
% 0.95/1.21 inference(rename_variables,[],[224])).
% 0.95/1.21 cnf(858,plain,
% 0.95/1.21 (~P10(x8581,x8581,a1)),
% 0.95/1.21 inference(rename_variables,[],[224])).
% 0.95/1.21 cnf(883,plain,
% 0.95/1.21 (~P10(x8831,x8831,a1)),
% 0.95/1.21 inference(rename_variables,[],[224])).
% 0.95/1.21 cnf(888,plain,
% 0.95/1.21 (~P10(x8881,x8881,a1)),
% 0.95/1.21 inference(rename_variables,[],[224])).
% 0.95/1.21 cnf(901,plain,
% 0.95/1.21 (~P10(x9011,x9011,a1)),
% 0.95/1.21 inference(rename_variables,[],[224])).
% 0.95/1.21 cnf(904,plain,
% 0.95/1.21 (~P10(x9041,x9041,a1)),
% 0.95/1.21 inference(rename_variables,[],[224])).
% 0.95/1.21 cnf(911,plain,
% 0.95/1.21 (~P10(x9111,x9111,a1)),
% 0.95/1.21 inference(rename_variables,[],[224])).
% 0.95/1.21 cnf(914,plain,
% 0.95/1.21 (P9(x9141,x9141,a1)),
% 0.95/1.21 inference(rename_variables,[],[193])).
% 0.95/1.21 cnf(917,plain,
% 0.95/1.21 (~P10(x9171,x9171,a1)),
% 0.95/1.21 inference(rename_variables,[],[224])).
% 0.95/1.21 cnf(922,plain,
% 0.95/1.21 (~P10(x9221,x9221,a1)),
% 0.95/1.21 inference(rename_variables,[],[224])).
% 0.95/1.21 cnf(925,plain,
% 0.95/1.21 (~P10(x9251,x9251,a1)),
% 0.95/1.21 inference(rename_variables,[],[224])).
% 0.95/1.21 cnf(928,plain,
% 0.95/1.21 (~P10(x9281,x9281,a1)),
% 0.95/1.21 inference(rename_variables,[],[224])).
% 0.95/1.21 cnf(933,plain,
% 0.95/1.21 (~P10(x9331,x9331,a1)),
% 0.95/1.21 inference(rename_variables,[],[224])).
% 0.95/1.21 cnf(936,plain,
% 0.95/1.21 (~P10(x9361,x9361,a1)),
% 0.95/1.21 inference(rename_variables,[],[224])).
% 0.95/1.21 cnf(949,plain,
% 0.95/1.21 (~P10(x9491,x9491,a1)),
% 0.95/1.21 inference(rename_variables,[],[224])).
% 0.95/1.21 cnf(952,plain,
% 0.95/1.21 (~P10(x9521,x9521,a1)),
% 0.95/1.21 inference(rename_variables,[],[224])).
% 0.95/1.21 cnf(973,plain,
% 0.95/1.21 (~P10(x9731,x9731,a1)),
% 0.95/1.21 inference(rename_variables,[],[224])).
% 0.95/1.21 cnf(976,plain,
% 0.95/1.21 (~P10(x9761,x9761,a1)),
% 0.95/1.21 inference(rename_variables,[],[224])).
% 0.95/1.21 cnf(979,plain,
% 0.95/1.21 (~P10(x9791,x9791,a1)),
% 0.95/1.21 inference(rename_variables,[],[224])).
% 0.95/1.21 cnf(982,plain,
% 0.95/1.21 (~P10(x9821,x9821,a1)),
% 0.95/1.21 inference(rename_variables,[],[224])).
% 0.95/1.21 cnf(983,plain,
% 0.95/1.21 (P9(x9831,x9831,a1)),
% 0.95/1.21 inference(rename_variables,[],[193])).
% 0.95/1.21 cnf(986,plain,
% 0.95/1.21 (P9(x9861,x9861,a1)),
% 0.95/1.21 inference(rename_variables,[],[193])).
% 0.95/1.21 cnf(996,plain,
% 0.95/1.21 (P9(x9961,x9961,a1)),
% 0.95/1.21 inference(rename_variables,[],[193])).
% 0.95/1.21 cnf(999,plain,
% 0.95/1.21 (~P9(f16(x9991,a1),f3(a1),a1)),
% 0.95/1.21 inference(rename_variables,[],[226])).
% 0.95/1.21 cnf(1002,plain,
% 0.95/1.21 (~P10(x10021,x10021,a1)),
% 0.95/1.21 inference(rename_variables,[],[224])).
% 0.95/1.21 cnf(1005,plain,
% 0.95/1.21 (P9(x10051,x10051,a1)),
% 0.95/1.21 inference(rename_variables,[],[193])).
% 0.95/1.21 cnf(1023,plain,
% 0.95/1.21 (P9(x10231,x10231,a1)),
% 0.95/1.21 inference(rename_variables,[],[193])).
% 0.95/1.21 cnf(1028,plain,
% 0.95/1.21 (P9(x10281,x10281,a1)),
% 0.95/1.21 inference(rename_variables,[],[193])).
% 0.95/1.21 cnf(1099,plain,
% 0.95/1.21 ($false),
% 0.95/1.21 inference(scs_inference,[],[95,193,797,814,816,830,914,983,986,996,1005,1023,1028,224,802,818,820,835,843,846,849,852,855,858,883,888,901,904,911,917,922,925,928,933,936,949,952,973,976,979,982,1002,96,97,98,99,100,106,107,108,109,113,115,121,122,125,127,133,135,142,153,163,164,166,167,168,169,195,223,181,227,214,198,201,225,226,999,228,805,210,211,213,795,2,778,428,400,296,571,341,596,569,48,47,37,36,3,425,402,459,573,471,469,247,634,520,518,515,494,493,492,491,490,403,340,257,256,255,254,253,252,618,617,616,615,614,347,628,366,365,538,535,411,350,627,585,583,513,512,511,510,509,508,506,266,746,745,744,743,687,686,678,673,672,671,647,505,504,357,355,750,749,630,629,776,393,349,392,668,443,442,420,354,346,318,315,232,445,444,418,417,413,412,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,625,564,503,502,476,450,449,441,429,398,386,371,370,368,361,359,358,343,331,309,308]),
% 0.95/1.21 ['proof']).
% 0.95/1.21 % SZS output end Proof
% 0.95/1.21 % Total time :0.330000s
%------------------------------------------------------------------------------