TSTP Solution File: ALG396-1 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : ALG396-1 : 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 : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 30 15:59:50 EDT 2023
% Result : Unsatisfiable 0.92s 0.91s
% Output : CNFRefutation 0.92s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : ALG396-1 : TPTP v8.1.2. Released v4.1.0.
% 0.11/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n004.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 28 02:31:52 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.56 start to proof:theBenchmark
% 0.74/0.84 %-------------------------------------------
% 0.74/0.84 % File :CSE---1.6
% 0.74/0.84 % Problem :theBenchmark
% 0.74/0.84 % Transform :cnf
% 0.74/0.84 % Format :tptp:raw
% 0.74/0.84 % Command :java -jar mcs_scs.jar %d %s
% 0.74/0.84
% 0.74/0.84 % Result :Theorem 0.030000s
% 0.74/0.84 % Output :CNFRefutation 0.030000s
% 0.74/0.84 %-------------------------------------------
% 0.74/0.84 %------------------------------------------------------------------------------
% 0.74/0.84 % File : ALG396-1 : TPTP v8.1.2. Released v4.1.0.
% 0.74/0.84 % Domain : General Algebra
% 0.74/0.84 % Problem : Fundamental theorem of algebra 0647_46
% 0.74/0.84 % Version : Especial.
% 0.74/0.84 % English :
% 0.74/0.84
% 0.74/0.84 % Refs : [Nip10] Nipkow (2010), Email to Geoff Sutcliffe
% 0.74/0.84 % : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day
% 0.74/0.84 % Source : [Nip10]
% 0.74/0.84 % Names : Fundamental_Theorem_Algebra-0647_46 [Nip10]
% 0.74/0.84
% 0.74/0.84 % Status : Unsatisfiable
% 0.74/0.84 % Rating : 0.00 v7.0.0, 0.07 v6.4.0, 0.00 v6.1.0, 0.07 v6.0.0, 0.00 v5.5.0, 0.15 v5.4.0, 0.10 v5.3.0, 0.11 v5.2.0, 0.00 v5.1.0, 0.06 v5.0.0, 0.07 v4.1.0
% 0.74/0.84 % Syntax : Number of clauses : 873 ( 130 unt; 112 nHn; 575 RR)
% 0.74/0.84 % Number of literals : 2487 ( 403 equ;1503 neg)
% 0.74/0.84 % Maximal clause size : 6 ( 2 avg)
% 0.74/0.84 % Maximal term depth : 5 ( 1 avg)
% 0.74/0.85 % Number of predicates : 65 ( 64 usr; 0 prp; 1-3 aty)
% 0.74/0.85 % Number of functors : 25 ( 25 usr; 7 con; 0-3 aty)
% 0.74/0.85 % Number of variables : 2392 ( 101 sgn)
% 0.74/0.85 % SPC : CNF_UNS_RFO_SEQ_NHN
% 0.74/0.85
% 0.74/0.85 % Comments :
% 0.74/0.85 %------------------------------------------------------------------------------
% 0.74/0.85 cnf(cls_mult__left__mono_0,axiom,
% 0.74/0.85 ( ~ class_Ring__and__Field_Omult__mono(T_a)
% 0.74/0.85 | 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)
% 0.74/0.85 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.74/0.85 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.74/0.85
% 0.74/0.85 cnf(cls_mult__right__mono_0,axiom,
% 0.74/0.85 ( ~ class_Ring__and__Field_Omult__mono(T_a)
% 0.74/0.85 | 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)
% 0.74/0.85 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.74/0.85 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.74/0.85
% 0.74/0.85 cnf(cls_mult__left__mono__neg_0,axiom,
% 0.74/0.85 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 0.74/0.85 | 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)
% 0.74/0.85 | ~ c_lessequals(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.74/0.85 | ~ c_lessequals(V_b,V_a,T_a) ) ).
% 0.74/0.85
% 0.74/0.85 cnf(cls_mult__right__mono__neg_0,axiom,
% 0.74/0.85 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 0.74/0.85 | 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)
% 0.74/0.85 | ~ c_lessequals(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.74/0.85 | ~ c_lessequals(V_b,V_a,T_a) ) ).
% 0.74/0.85
% 0.74/0.85 cnf(cls_class__ringb_Oadd__scale__eq__noteq_0,axiom,
% 0.74/0.85 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.74/0.85 | ~ class_Int_Onumber__ring(T_a)
% 0.74/0.85 | 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)
% 0.74/0.85 | V_c = V_d
% 0.74/0.85 | V_r = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.74/0.85
% 0.74/0.85 cnf(cls_sum__squares__eq__zero__iff_0,axiom,
% 0.74/0.85 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.74/0.85 | 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)
% 0.74/0.85 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.74/0.85
% 0.74/0.85 cnf(cls_sum__squares__eq__zero__iff_1,axiom,
% 0.74/0.85 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.74/0.85 | 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)
% 0.74/0.85 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.74/0.85
% 0.74/0.85 cnf(cls_divide__less__eq_0,axiom,
% 0.74/0.85 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.74/0.85 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.74/0.85 | c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a)
% 0.74/0.85 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.74/0.85 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) ) ).
% 0.74/0.85
% 0.74/0.85 cnf(cls_divide__less__eq_6,axiom,
% 0.74/0.85 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.74/0.85 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.74/0.85 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a)
% 0.74/0.85 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.74/0.85 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) ) ).
% 0.74/0.85
% 0.74/0.85 cnf(cls_less__divide__eq_0,axiom,
% 0.74/0.85 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.74/0.85 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.74/0.85 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a)
% 0.74/0.85 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.74/0.85 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ).
% 0.74/0.85
% 0.74/0.85 cnf(cls_less__divide__eq_6,axiom,
% 0.74/0.85 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.74/0.85 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.74/0.85 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 0.74/0.85 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.74/0.85 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) ) ).
% 0.74/0.85
% 0.74/0.85 cnf(cls_mult__imp__div__pos__less_0,axiom,
% 0.74/0.85 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.74/0.85 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),V_z,T_a)
% 0.74/0.85 | ~ c_HOL_Oord__class_Oless(V_x,c_HOL_Otimes__class_Otimes(V_z,V_y,T_a),T_a)
% 0.74/0.85 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) ) ).
% 0.74/0.85
% 0.74/0.85 cnf(cls_mult__imp__less__div__pos_0,axiom,
% 0.74/0.85 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.74/0.85 | c_HOL_Oord__class_Oless(V_z,c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),T_a)
% 0.74/0.85 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_z,V_y,T_a),V_x,T_a)
% 0.74/0.85 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) ) ).
% 0.74/0.85
% 0.74/0.85 cnf(cls_zero__less__divide__iff_0,axiom,
% 0.74/0.85 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.74/0.85 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.74/0.85 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.74/0.85 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.74/0.85 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) ) ).
% 0.74/0.85
% 0.74/0.85 cnf(cls_zero__less__divide__iff_1,axiom,
% 0.74/0.85 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.74/0.85 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.74/0.85 | c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.74/0.85 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.74/0.85 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) ) ).
% 0.74/0.85
% 0.74/0.85 cnf(cls_zero__less__divide__iff_2,axiom,
% 0.74/0.85 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.74/0.85 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.74/0.85 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.74/0.85 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.74/0.85 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) ) ).
% 0.74/0.85
% 0.74/0.85 cnf(cls_zero__less__divide__iff_3,axiom,
% 0.74/0.85 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.74/0.85 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.74/0.85 | c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.74/0.85 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.74/0.85 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) ) ).
% 0.74/0.85
% 0.74/0.85 cnf(cls_divide__nonneg__neg_0,axiom,
% 0.74/0.85 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.74/0.85 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.74/0.85 | ~ c_HOL_Oord__class_Oless(V_y,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.74/0.85 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ).
% 0.74/0.85
% 0.74/0.85 cnf(cls_divide__nonpos__pos_0,axiom,
% 0.74/0.85 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.74/0.85 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.74/0.85 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)
% 0.74/0.85 | ~ c_lessequals(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.74/0.85
% 0.74/0.85 cnf(cls_mult__idem_0,axiom,
% 0.74/0.85 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(T_a)
% 0.74/0.85 | c_HOL_Otimes__class_Otimes(V_x,V_x,T_a) = V_x ) ).
% 0.74/0.85
% 0.74/0.85 cnf(cls_mult__strict__mono_H_0,axiom,
% 0.74/0.85 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.74/0.85 | 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)
% 0.74/0.85 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.74/0.85 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.74/0.85 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a)
% 0.74/0.85 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.74/0.85
% 0.74/0.85 cnf(cls_zmod__simps_I2_J_0,axiom,
% 0.74/0.85 ( ~ class_Divides_Osemiring__div(T_a)
% 0.74/0.85 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a,c_Divides_Odiv__class_Omod(V_b,V_c,T_a),T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) ) ).
% 0.74/0.85
% 0.74/0.85 cnf(cls_zmod__simps_I1_J_0,axiom,
% 0.74/0.85 ( ~ class_Divides_Osemiring__div(T_a)
% 0.74/0.85 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(V_a,V_c,T_a),V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) ) ).
% 0.74/0.85
% 0.74/0.85 cnf(cls_inf__period_I4_J_0,axiom,
% 0.74/0.85 ( ~ class_Ring__and__Field_Odvd(T_a)
% 0.74/0.85 | ~ class_Ring__and__Field_Ocomm__ring(T_a)
% 0.74/0.85 | c_Ring__and__Field_Odvd__class_Odvd(V_d,c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_x,c_HOL_Otimes__class_Otimes(V_k,V_D,T_a),T_a),V_t,T_a),T_a)
% 0.74/0.85 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_d,c_HOL_Oplus__class_Oplus(V_x,V_t,T_a),T_a)
% 0.74/0.85 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_d,V_D,T_a) ) ).
% 0.74/0.85
% 0.74/0.85 cnf(cls_inf__period_I4_J_1,axiom,
% 0.74/0.85 ( ~ class_Ring__and__Field_Odvd(T_a)
% 0.74/0.85 | ~ class_Ring__and__Field_Ocomm__ring(T_a)
% 0.74/0.85 | c_Ring__and__Field_Odvd__class_Odvd(V_d,c_HOL_Oplus__class_Oplus(V_x,V_t,T_a),T_a)
% 0.74/0.85 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_d,c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_x,c_HOL_Otimes__class_Otimes(V_k,V_D,T_a),T_a),V_t,T_a),T_a)
% 0.74/0.85 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_d,V_D,T_a) ) ).
% 0.74/0.85
% 0.74/0.85 cnf(cls_min__max_Osup__inf__distrib1_0,axiom,
% 0.74/0.85 ( ~ class_Orderings_Olinorder(T_a)
% 0.74/0.85 | c_Orderings_Oord__class_Omax(V_x,c_Orderings_Oord__class_Omin(V_y,V_z,T_a),T_a) = c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),c_Orderings_Oord__class_Omax(V_x,V_z,T_a),T_a) ) ).
% 0.74/0.85
% 0.74/0.85 cnf(cls_min__max_Osup__inf__distrib2_0,axiom,
% 0.74/0.85 ( ~ class_Orderings_Olinorder(T_a)
% 0.74/0.85 | c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(V_y,V_z,T_a),V_x,T_a) = c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(V_y,V_x,T_a),c_Orderings_Oord__class_Omax(V_z,V_x,T_a),T_a) ) ).
% 0.74/0.85
% 0.74/0.85 cnf(cls_order__less__le_2,axiom,
% 0.74/0.85 ( ~ class_Orderings_Oorder(T_a)
% 0.74/0.85 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.74/0.85 | V_x = V_y
% 0.74/0.85 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.74/0.85
% 0.74/0.85 cnf(cls_order__le__less_0,axiom,
% 0.74/0.85 ( ~ class_Orderings_Oorder(T_a)
% 0.74/0.85 | V_x = V_y
% 0.74/0.85 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.74/0.85 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.74/0.85
% 0.74/0.85 cnf(cls_order__le__neq__trans_0,axiom,
% 0.74/0.85 ( ~ class_Orderings_Oorder(T_a)
% 0.74/0.85 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.74/0.85 | V_a = V_b
% 0.74/0.85 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.74/0.85
% 0.74/0.85 cnf(cls_order__neq__le__trans_0,axiom,
% 0.74/0.85 ( ~ class_Orderings_Oorder(T_a)
% 0.74/0.85 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.74/0.85 | ~ c_lessequals(V_a,V_b,T_a)
% 0.74/0.85 | V_a = V_b ) ).
% 0.74/0.85
% 0.74/0.85 cnf(cls_linorder__antisym__conv1_0,axiom,
% 0.74/0.86 ( ~ class_Orderings_Olinorder(T_a)
% 0.74/0.86 | V_x = V_y
% 0.74/0.86 | ~ c_lessequals(V_x,V_y,T_a)
% 0.74/0.86 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.74/0.86
% 0.74/0.86 cnf(cls_linorder__antisym__conv2_0,axiom,
% 0.74/0.86 ( ~ class_Orderings_Olinorder(T_a)
% 0.74/0.86 | V_x = V_y
% 0.74/0.86 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.74/0.86 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.74/0.86
% 0.74/0.86 cnf(cls_xt1_I12_J_0,axiom,
% 0.74/0.86 ( ~ class_Orderings_Oorder(T_a)
% 0.74/0.86 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.74/0.86 | ~ c_lessequals(V_b,V_a,T_a)
% 0.74/0.86 | V_a = V_b ) ).
% 0.74/0.86
% 0.74/0.86 cnf(cls_xt1_I11_J_0,axiom,
% 0.74/0.86 ( ~ class_Orderings_Oorder(T_a)
% 0.74/0.86 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.74/0.86 | V_a = V_b
% 0.74/0.86 | ~ c_lessequals(V_b,V_a,T_a) ) ).
% 0.74/0.86
% 0.74/0.86 cnf(cls_divide__right__mono_0,axiom,
% 0.74/0.86 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.74/0.86 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.74/0.86 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_a,V_c,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 0.74/0.86 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.74/0.86 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.74/0.86
% 0.74/0.86 cnf(cls_divide__right__mono__neg_0,axiom,
% 0.74/0.86 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.74/0.86 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.74/0.86 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),c_HOL_Oinverse__class_Odivide(V_a,V_c,T_a),T_a)
% 0.74/0.86 | ~ c_lessequals(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.74/0.86 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.74/0.86
% 0.74/0.86 cnf(cls_split__mult__pos__le_0,axiom,
% 0.74/0.86 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 0.74/0.86 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 0.74/0.86 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.74/0.86 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.74/0.86
% 0.74/0.86 cnf(cls_split__mult__pos__le_1,axiom,
% 0.74/0.86 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 0.74/0.86 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 0.74/0.86 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.74/0.86 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.74/0.86
% 0.74/0.86 cnf(cls_mult__nonpos__nonpos_0,axiom,
% 0.74/0.86 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 0.74/0.86 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 0.74/0.86 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.74/0.86 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.74/0.86
% 0.74/0.86 cnf(cls_zero__le__square_0,axiom,
% 0.74/0.86 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.74/0.86 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_a,T_a),T_a) ) ).
% 0.74/0.86
% 0.74/0.86 cnf(cls_zero__le__mult__iff_4,axiom,
% 0.74/0.86 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.74/0.86 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 0.74/0.86 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.74/0.86 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.74/0.86
% 0.74/0.86 cnf(cls_zero__le__mult__iff_5,axiom,
% 0.74/0.86 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.74/0.86 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 0.74/0.86 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.74/0.86 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.74/0.86
% 0.74/0.86 cnf(cls_mult__nonneg__nonneg_0,axiom,
% 0.74/0.86 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 0.74/0.86 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 0.74/0.86 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.74/0.86 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.74/0.86
% 0.74/0.86 cnf(cls_abs__triangle__ineq2_0,axiom,
% 0.74/0.86 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.74/0.86 | c_lessequals(c_HOL_Ominus__class_Ominus(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),T_a),T_a) ) ).
% 0.74/0.86
% 0.74/0.86 cnf(cls_ab__semigroup__mult__class_Omult__ac_I1_J_0,axiom,
% 0.74/0.86 ( ~ class_OrderedGroup_Oab__semigroup__mult(T_a)
% 0.74/0.86 | 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) ) ).
% 0.74/0.86
% 0.74/0.86 cnf(cls_class__semiring_Osemiring__rules_I16_J_0,axiom,
% 0.74/0.86 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.74/0.86 | 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) ) ).
% 0.74/0.86
% 0.74/0.86 cnf(cls_class__semiring_Osemiring__rules_I17_J_0,axiom,
% 0.74/0.86 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.74/0.86 | 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) ) ).
% 0.74/0.86
% 0.74/0.86 cnf(cls_class__semiring_Osemiring__rules_I18_J_0,axiom,
% 0.74/0.86 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.74/0.86 | 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) ) ).
% 0.74/0.86
% 0.74/0.86 cnf(cls_class__semiring_Osemiring__rules_I19_J_0,axiom,
% 0.74/0.86 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.74/0.86 | 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) ) ).
% 0.74/0.86
% 0.74/0.86 cnf(cls_class__semiring_Omul__a_0,axiom,
% 0.74/0.86 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.74/0.86 | 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) ) ).
% 0.74/0.86
% 0.74/0.86 cnf(cls_class__semiring_Osemiring__rules_I8_J_0,axiom,
% 0.74/0.86 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.74/0.86 | 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) ) ).
% 0.74/0.86
% 0.74/0.86 cnf(cls_mult__right_Oadd_0,axiom,
% 0.74/0.86 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 0.74/0.86 | 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) ) ).
% 0.74/0.86
% 0.74/0.86 cnf(cls_mult_Oadd__right_0,axiom,
% 0.74/0.86 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 0.74/0.86 | 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) ) ).
% 0.74/0.86
% 0.74/0.86 cnf(cls_mult__left_Oadd_0,axiom,
% 0.74/0.86 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 0.74/0.86 | 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) ) ).
% 0.74/0.86
% 0.74/0.86 cnf(cls_mult_Oadd__left_0,axiom,
% 0.74/0.86 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 0.74/0.86 | 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) ) ).
% 0.74/0.86
% 0.74/0.86 cnf(cls_class__semiring_Omul__d_0,axiom,
% 0.74/0.86 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.74/0.86 | 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) ) ).
% 0.74/0.86
% 0.74/0.86 cnf(cls_comm__semiring__class_Odistrib_0,axiom,
% 0.74/0.86 ( ~ class_Ring__and__Field_Ocomm__semiring(T_a)
% 0.74/0.86 | 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) ) ).
% 0.74/0.86
% 0.74/0.86 cnf(cls_frac__less_0,axiom,
% 0.74/0.86 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.74/0.86 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_x,V_z,T_a),c_HOL_Oinverse__class_Odivide(V_y,V_w,T_a),T_a)
% 0.74/0.86 | ~ c_lessequals(V_w,V_z,T_a)
% 0.74/0.86 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_w,T_a)
% 0.74/0.86 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.74/0.86 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ).
% 0.74/0.86
% 0.74/0.86 cnf(cls_zero__less__double__add__iff__zero__less__single__add_0,axiom,
% 0.74/0.86 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.74/0.86 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.74/0.86 | ~ 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) ) ).
% 0.74/0.86
% 0.74/0.86 cnf(cls_zero__less__double__add__iff__zero__less__single__add_1,axiom,
% 0.74/0.86 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.74/0.86 | 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)
% 0.74/0.86 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.74/0.86
% 0.74/0.86 cnf(cls_minus__divide__right_0,axiom,
% 0.74/0.86 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.74/0.86 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.74/0.86 | c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) = c_HOL_Oinverse__class_Odivide(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ).
% 0.74/0.86
% 0.74/0.86 cnf(cls_mult__mono1_0,axiom,
% 0.74/0.86 ( ~ class_Ring__and__Field_Omult__mono1(T_a)
% 0.74/0.86 | 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)
% 0.74/0.86 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.74/0.86 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.74/0.86
% 0.74/0.86 cnf(cls_cnj_Oadd_0,axiom,
% 0.74/0.86 c_Complex_Ocnj(c_HOL_Oplus__class_Oplus(V_x,V_y,tc_Complex_Ocomplex)) = c_HOL_Oplus__class_Oplus(c_Complex_Ocnj(V_x),c_Complex_Ocnj(V_y),tc_Complex_Ocomplex) ).
% 0.74/0.86
% 0.74/0.86 cnf(cls_pos__add__strict_0,axiom,
% 0.74/0.86 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.74/0.86 | c_HOL_Oord__class_Oless(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a)
% 0.74/0.86 | ~ c_HOL_Oord__class_Oless(V_b,V_c,T_a)
% 0.74/0.86 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.74/0.86
% 0.74/0.86 cnf(cls_dvd__mult__right_0,axiom,
% 0.74/0.86 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.74/0.86 | c_Ring__and__Field_Odvd__class_Odvd(V_b,V_c,T_a)
% 0.74/0.86 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_c,T_a) ) ).
% 0.74/0.86
% 0.74/0.86 cnf(cls_dvd__mult__left_0,axiom,
% 0.74/0.86 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.74/0.86 | c_Ring__and__Field_Odvd__class_Odvd(V_a,V_c,T_a)
% 0.74/0.86 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_c,T_a) ) ).
% 0.74/0.86
% 0.74/0.86 cnf(cls_dvd__mult2_0,axiom,
% 0.74/0.86 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.74/0.86 | c_Ring__and__Field_Odvd__class_Odvd(V_a,c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a)
% 0.74/0.86 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ).
% 0.74/0.86
% 0.74/0.86 cnf(cls_dvd__mult_0,axiom,
% 0.74/0.86 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.74/0.86 | c_Ring__and__Field_Odvd__class_Odvd(V_a,c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a)
% 0.74/0.86 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_c,T_a) ) ).
% 0.74/0.86
% 0.74/0.86 cnf(cls_add__minus__cancel_0,axiom,
% 0.74/0.86 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.74/0.86 | 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 ) ).
% 0.74/0.86
% 0.74/0.86 cnf(cls_abs__le__D2_0,axiom,
% 0.74/0.86 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.74/0.87 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a)
% 0.74/0.87 | ~ c_lessequals(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a) ) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_mult__pos__neg2_0,axiom,
% 0.74/0.87 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.74/0.87 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_b,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.74/0.87 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.74/0.87 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_mult__pos__neg_0,axiom,
% 0.74/0.87 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.74/0.87 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.74/0.87 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.74/0.87 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_mult__neg__pos_0,axiom,
% 0.74/0.87 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.74/0.87 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.74/0.87 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.74/0.87 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_mult__le__0__iff_3,axiom,
% 0.74/0.87 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.74/0.87 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.74/0.87 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.74/0.87 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_mult__le__0__iff_2,axiom,
% 0.74/0.87 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.74/0.87 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.74/0.87 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.74/0.87 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_mult__le__0__iff_1,axiom,
% 0.74/0.87 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.74/0.87 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.74/0.87 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.74/0.87 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_mult__le__0__iff_0,axiom,
% 0.74/0.87 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.74/0.87 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.74/0.87 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.74/0.87 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_mod__add__self2_0,axiom,
% 0.74/0.87 ( ~ class_Divides_Osemiring__div(T_a)
% 0.74/0.87 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_b,T_a) = c_Divides_Odiv__class_Omod(V_a,V_b,T_a) ) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_mod__add__self1_0,axiom,
% 0.74/0.87 ( ~ class_Divides_Osemiring__div(T_a)
% 0.74/0.87 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_b,V_a,T_a),V_b,T_a) = c_Divides_Odiv__class_Omod(V_a,V_b,T_a) ) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_abs__less__iff_2,axiom,
% 0.74/0.87 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.74/0.87 | c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a)
% 0.74/0.87 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a)
% 0.74/0.87 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_neg__le__0__iff__le_1,axiom,
% 0.74/0.87 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.74/0.87 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.74/0.87 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_neg__le__0__iff__le_0,axiom,
% 0.74/0.87 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.74/0.87 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.74/0.87 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_mult__left__idem_0,axiom,
% 0.74/0.87 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(T_a)
% 0.74/0.87 | c_HOL_Otimes__class_Otimes(V_x,c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),T_a) = c_HOL_Otimes__class_Otimes(V_x,V_y,T_a) ) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_le__eq__neg_1,axiom,
% 0.74/0.87 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.74/0.87 | c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a)
% 0.74/0.87 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_le__eq__neg_0,axiom,
% 0.74/0.87 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.74/0.87 | c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.74/0.87 | ~ c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_minus__mult__right_0,axiom,
% 0.74/0.87 ( ~ class_Ring__and__Field_Oring(T_a)
% 0.74/0.87 | c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) = c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_minus__mult__left_0,axiom,
% 0.74/0.87 ( ~ class_Ring__and__Field_Oring(T_a)
% 0.74/0.87 | c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) ) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_mult__frac__frac_0,axiom,
% 0.74/0.87 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.74/0.87 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.74/0.87 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),c_HOL_Oinverse__class_Odivide(V_z,V_w,T_a),T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_x,V_z,T_a),c_HOL_Otimes__class_Otimes(V_y,V_w,T_a),T_a) ) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_abs__eq__mult_3,axiom,
% 0.74/0.87 ( ~ class_Ring__and__Field_Opordered__ring__abs(T_a)
% 0.74/0.87 | 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)
% 0.74/0.87 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.74/0.87 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_abs__eq__mult_2,axiom,
% 0.74/0.87 ( ~ class_Ring__and__Field_Opordered__ring__abs(T_a)
% 0.74/0.87 | 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)
% 0.74/0.87 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.74/0.87 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_abs__eq__mult_1,axiom,
% 0.74/0.87 ( ~ class_Ring__and__Field_Opordered__ring__abs(T_a)
% 0.74/0.87 | 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)
% 0.74/0.87 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.74/0.87 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_abs__eq__mult_0,axiom,
% 0.74/0.87 ( ~ class_Ring__and__Field_Opordered__ring__abs(T_a)
% 0.74/0.87 | 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)
% 0.74/0.87 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.74/0.87 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_abs__mult_0,axiom,
% 0.74/0.87 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.74/0.87 | 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) ) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_add__le__cancel__right_1,axiom,
% 0.74/0.87 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.74/0.87 | 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)
% 0.74/0.87 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_add__le__cancel__right_0,axiom,
% 0.74/0.87 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.74/0.87 | c_lessequals(V_a,V_b,T_a)
% 0.74/0.87 | ~ 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) ) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_add__le__cancel__left_1,axiom,
% 0.74/0.87 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.74/0.87 | 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)
% 0.74/0.87 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_add__le__cancel__left_0,axiom,
% 0.74/0.87 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.74/0.87 | c_lessequals(V_a,V_b,T_a)
% 0.74/0.87 | ~ 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) ) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_add__right__mono_0,axiom,
% 0.74/0.87 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a)
% 0.74/0.87 | 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)
% 0.74/0.87 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_add__left__mono_0,axiom,
% 0.74/0.87 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a)
% 0.74/0.87 | 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)
% 0.74/0.87 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_dvd__mult__cancel__right_1,axiom,
% 0.74/0.87 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.74/0.87 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a),c_HOL_Otimes__class_Otimes(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a),T_a) ) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_dvd__mult__cancel__left_1,axiom,
% 0.74/0.87 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.74/0.87 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a),T_a) ) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_dvd__trans_0,axiom,
% 0.74/0.87 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.74/0.87 | c_Ring__and__Field_Odvd__class_Odvd(V_a,V_c,T_a)
% 0.74/0.87 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_b,V_c,T_a)
% 0.74/0.87 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_dvd__refl_0,axiom,
% 0.74/0.87 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.74/0.87 | c_Ring__and__Field_Odvd__class_Odvd(V_a,V_a,T_a) ) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_abs__of__nonneg_0,axiom,
% 0.74/0.87 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.74/0.87 | c_HOL_Oabs__class_Oabs(V_a,T_a) = V_a
% 0.74/0.87 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_min__max_Osup__idem_0,axiom,
% 0.74/0.87 ( ~ class_Orderings_Olinorder(T_a)
% 0.74/0.87 | c_Orderings_Oord__class_Omax(V_x,V_x,T_a) = V_x ) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_linorder__neqE__ordered__idom_0,axiom,
% 0.74/0.87 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.74/0.87 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.74/0.87 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.74/0.87 | V_x = V_y ) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_not__less__iff__gr__or__eq_0,axiom,
% 0.74/0.87 ( ~ class_Orderings_Olinorder(T_a)
% 0.74/0.87 | V_x = V_y
% 0.74/0.87 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.74/0.87 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_linorder__antisym__conv3_0,axiom,
% 0.74/0.87 ( ~ class_Orderings_Olinorder(T_a)
% 0.74/0.87 | V_x = V_y
% 0.74/0.87 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.74/0.87 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_linorder__less__linear_0,axiom,
% 0.74/0.87 ( ~ class_Orderings_Olinorder(T_a)
% 0.74/0.87 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.74/0.87 | V_x = V_y
% 0.74/0.87 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_order__antisym__conv_0,axiom,
% 0.74/0.87 ( ~ class_Orderings_Oorder(T_a)
% 0.74/0.87 | V_x = V_y
% 0.74/0.87 | ~ c_lessequals(V_x,V_y,T_a)
% 0.74/0.87 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_order__eq__iff_2,axiom,
% 0.74/0.87 ( ~ class_Orderings_Oorder(T_a)
% 0.74/0.87 | V_x = V_y
% 0.74/0.87 | ~ c_lessequals(V_y,V_x,T_a)
% 0.74/0.87 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_linorder__neqE_0,axiom,
% 0.74/0.87 ( ~ class_Orderings_Olinorder(T_a)
% 0.74/0.87 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.74/0.87 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.74/0.87 | V_x = V_y ) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_order__antisym_0,axiom,
% 0.74/0.87 ( ~ class_Orderings_Oorder(T_a)
% 0.74/0.87 | V_x = V_y
% 0.74/0.87 | ~ c_lessequals(V_y,V_x,T_a)
% 0.74/0.87 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_real__le__antisym_0,axiom,
% 0.74/0.87 ( V_z = V_w
% 0.74/0.87 | ~ c_lessequals(V_w,V_z,tc_RealDef_Oreal)
% 0.74/0.87 | ~ c_lessequals(V_z,V_w,tc_RealDef_Oreal) ) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_compl__eq__compl__iff_0,axiom,
% 0.74/0.87 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 0.74/0.87 | c_HOL_Ouminus__class_Ouminus(V_x,T_a) != c_HOL_Ouminus__class_Ouminus(V_y,T_a)
% 0.74/0.87 | V_x = V_y ) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_neg__equal__iff__equal_0,axiom,
% 0.74/0.87 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.74/0.87 | c_HOL_Ouminus__class_Ouminus(V_a,T_a) != c_HOL_Ouminus__class_Ouminus(V_b,T_a)
% 0.74/0.87 | V_a = V_b ) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_eq__divide__imp_0,axiom,
% 0.74/0.87 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.74/0.87 | V_c = c_HOL_Ozero__class_Ozero(T_a)
% 0.74/0.87 | V_a = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_c,T_a) ) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_divide__eq__imp_0,axiom,
% 0.74/0.87 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.74/0.87 | V_c = c_HOL_Ozero__class_Ozero(T_a)
% 0.74/0.87 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_c,T_a) = V_a ) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_estimate__by__abs_0,axiom,
% 0.74/0.87 ( ~ class_OrderedGroup_Olordered__ab__group__add__abs(T_a)
% 0.74/0.87 | c_lessequals(V_a,c_HOL_Oplus__class_Oplus(V_c,c_HOL_Oabs__class_Oabs(V_b,T_a),T_a),T_a)
% 0.74/0.87 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) ) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_eq__divide__eq_3,axiom,
% 0.74/0.87 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.74/0.87 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.74/0.87 | V_a = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_c,T_a)
% 0.74/0.87 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_divide__eq__eq_3,axiom,
% 0.74/0.87 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.74/0.87 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.74/0.87 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_c,T_a) = V_a
% 0.74/0.87 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_min__max_Oinf__idem_0,axiom,
% 0.74/0.87 ( ~ class_Orderings_Olinorder(T_a)
% 0.74/0.87 | c_Orderings_Oord__class_Omin(V_x,V_x,T_a) = V_x ) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_abs__le__zero__iff_0,axiom,
% 0.74/0.87 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.74/0.87 | V_a = c_HOL_Ozero__class_Ozero(T_a)
% 0.74/0.87 | ~ c_lessequals(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_class__semiring_Osemiring__rules_I15_J_0,axiom,
% 0.74/0.87 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.74/0.87 | 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) ) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_class__semiring_Osemiring__rules_I14_J_0,axiom,
% 0.74/0.87 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.74/0.87 | 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) ) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_class__semiring_Osemiring__rules_I13_J_0,axiom,
% 0.74/0.87 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.74/0.87 | 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) ) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_neg__equal__0__iff__equal_0,axiom,
% 0.74/0.87 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.74/0.87 | c_HOL_Ouminus__class_Ouminus(V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.74/0.87 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_sum__squares__le__zero__iff_2,axiom,
% 0.74/0.87 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.74/0.87 | 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) ) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_add__nonpos__neg_0,axiom,
% 0.74/0.87 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.74/0.87 | 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)
% 0.74/0.87 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.74/0.87 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_add__neg__nonpos_0,axiom,
% 0.74/0.87 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.74/0.87 | 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)
% 0.74/0.87 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.74/0.87 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_neg__less__iff__less_1,axiom,
% 0.74/0.87 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.74/0.87 | 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)
% 0.74/0.87 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_neg__less__iff__less_0,axiom,
% 0.74/0.87 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.74/0.87 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.74/0.87 | ~ 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) ) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_abs__div__pos_0,axiom,
% 0.74/0.87 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.74/0.87 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.74/0.87 | c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(V_x,T_a),V_y,T_a) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),T_a)
% 0.74/0.87 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) ) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_le__divide__eq_8,axiom,
% 0.74/0.87 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.74/0.87 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.74/0.87 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 0.74/0.87 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.74/0.87 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a)
% 0.74/0.87 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) ) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_divide__le__eq_8,axiom,
% 0.74/0.87 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.74/0.87 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.74/0.87 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a)
% 0.74/0.87 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.74/0.87 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a)
% 0.74/0.87 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) ) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_not__sum__squares__lt__zero_0,axiom,
% 0.74/0.87 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.74/0.87 | ~ 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) ) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_abs__less__iff_1,axiom,
% 0.74/0.87 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.74/0.87 | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a)
% 0.74/0.87 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a) ) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_zero__less__mult__pos2_0,axiom,
% 0.74/0.87 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.74/0.87 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.74/0.87 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.74/0.87 | ~ 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) ) ).
% 0.74/0.87
% 0.74/0.87 cnf(cls_zero__less__mult__pos_0,axiom,
% 0.74/0.87 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.74/0.87 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.74/0.87 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.74/0.87 | ~ 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) ) ).
% 0.74/0.87
% 0.74/0.88 cnf(cls_mult__pos__pos_0,axiom,
% 0.74/0.88 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.74/0.88 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 0.74/0.88 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.74/0.88 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_mult__neg__neg_0,axiom,
% 0.74/0.88 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.74/0.88 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 0.74/0.88 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.74/0.88 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_double__add__less__zero__iff__single__less__zero_1,axiom,
% 0.74/0.88 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.74/0.88 | 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)
% 0.74/0.88 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_double__add__less__zero__iff__single__less__zero_0,axiom,
% 0.74/0.88 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.74/0.88 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.74/0.88 | ~ 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) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_even__less__0__iff_0,axiom,
% 0.74/0.88 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.74/0.88 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.74/0.88 | ~ 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) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_even__less__0__iff_1,axiom,
% 0.74/0.88 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.74/0.88 | 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)
% 0.74/0.88 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_mult__eq__0__iff_0,axiom,
% 0.74/0.88 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(T_a)
% 0.74/0.88 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.74/0.88 | V_b = c_HOL_Ozero__class_Ozero(T_a)
% 0.74/0.88 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_no__zero__divisors_0,axiom,
% 0.74/0.88 ( ~ class_Ring__and__Field_Ono__zero__divisors(T_a)
% 0.74/0.88 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.74/0.88 | V_b = c_HOL_Ozero__class_Ozero(T_a)
% 0.74/0.88 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_no__zero__divirors__neq0_0,axiom,
% 0.74/0.88 ( ~ class_Ring__and__Field_Ono__zero__divisors(T_a)
% 0.74/0.88 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.74/0.88 | V_a = c_HOL_Ozero__class_Ozero(T_a)
% 0.74/0.88 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_add__nonneg__eq__0__iff_1,axiom,
% 0.74/0.88 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.74/0.88 | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.74/0.88 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)
% 0.74/0.88 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a)
% 0.74/0.88 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_add__nonneg__eq__0__iff_0,axiom,
% 0.74/0.88 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.74/0.88 | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.74/0.88 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)
% 0.74/0.88 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a)
% 0.74/0.88 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_double__eq__0__iff_0,axiom,
% 0.74/0.88 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.74/0.88 | c_HOL_Oplus__class_Oplus(V_a,V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.74/0.88 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_abs__of__neg_0,axiom,
% 0.74/0.88 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.74/0.88 | c_HOL_Oabs__class_Oabs(V_a,T_a) = c_HOL_Ouminus__class_Ouminus(V_a,T_a)
% 0.74/0.88 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_abs__if_0,axiom,
% 0.74/0.88 ( ~ class_Ring__and__Field_Oabs__if(T_a)
% 0.74/0.88 | c_HOL_Oabs__class_Oabs(V_a,T_a) = c_HOL_Ouminus__class_Ouminus(V_a,T_a)
% 0.74/0.88 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_abs__if__lattice_0,axiom,
% 0.74/0.88 ( ~ class_Orderings_Olinorder(T_a)
% 0.74/0.88 | ~ class_OrderedGroup_Olordered__ab__group__add__abs(T_a)
% 0.74/0.88 | c_HOL_Oabs__class_Oabs(V_a,T_a) = c_HOL_Ouminus__class_Ouminus(V_a,T_a)
% 0.74/0.88 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_square__eq__iff_0,axiom,
% 0.74/0.88 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.74/0.88 | c_HOL_Otimes__class_Otimes(V_a,V_a,T_a) != c_HOL_Otimes__class_Otimes(V_b,V_b,T_a)
% 0.74/0.88 | V_a = c_HOL_Ouminus__class_Ouminus(V_b,T_a)
% 0.74/0.88 | V_a = V_b ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_mult__less__imp__less__right_0,axiom,
% 0.74/0.88 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.74/0.88 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.74/0.88 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.74/0.88 | ~ 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) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_mult__less__imp__less__left_0,axiom,
% 0.74/0.88 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.74/0.88 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.74/0.88 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.74/0.88 | ~ 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) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_mult__right__less__imp__less_0,axiom,
% 0.74/0.88 ( ~ class_Ring__and__Field_Oordered__semiring(T_a)
% 0.74/0.88 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.74/0.88 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.74/0.88 | ~ 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) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_mult__left__less__imp__less_0,axiom,
% 0.74/0.88 ( ~ class_Ring__and__Field_Oordered__semiring(T_a)
% 0.74/0.88 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.74/0.88 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.74/0.88 | ~ 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) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_mult__imp__le__div__pos_0,axiom,
% 0.74/0.88 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.74/0.88 | c_lessequals(V_z,c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),T_a)
% 0.74/0.88 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_z,V_y,T_a),V_x,T_a)
% 0.74/0.88 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_mult__imp__div__pos__le_0,axiom,
% 0.74/0.88 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.74/0.88 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),V_z,T_a)
% 0.74/0.88 | ~ c_lessequals(V_x,c_HOL_Otimes__class_Otimes(V_z,V_y,T_a),T_a)
% 0.74/0.88 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_minus__divide__left_0,axiom,
% 0.74/0.88 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.74/0.88 | c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_zero__le__mult__iff_0,axiom,
% 0.74/0.88 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.74/0.88 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.74/0.88 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.74/0.88 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_zero__le__mult__iff_1,axiom,
% 0.74/0.88 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.74/0.88 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.74/0.88 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.74/0.88 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_zero__le__mult__iff_2,axiom,
% 0.74/0.88 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.74/0.88 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.74/0.88 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.74/0.88 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_zero__le__mult__iff_3,axiom,
% 0.74/0.88 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.74/0.88 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.74/0.88 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.74/0.88 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_min__max_Osup__left__idem_0,axiom,
% 0.74/0.88 ( ~ class_Orderings_Olinorder(T_a)
% 0.74/0.88 | c_Orderings_Oord__class_Omax(V_x,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) = c_Orderings_Oord__class_Omax(V_x,V_y,T_a) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_neg__equal__zero_0,axiom,
% 0.74/0.88 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a)
% 0.74/0.88 | c_HOL_Ouminus__class_Ouminus(V_a,T_a) != V_a
% 0.74/0.88 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_sum__squares__gt__zero__iff_0,axiom,
% 0.74/0.88 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.74/0.88 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a),T_a),T_a) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_class__semiring_Osemiring__rules_I1_J_0,axiom,
% 0.74/0.88 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.74/0.88 | 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) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_diff__frac__eq_0,axiom,
% 0.74/0.88 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.74/0.88 | c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),c_HOL_Oinverse__class_Odivide(V_w,V_z,T_a),T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(V_x,V_z,T_a),c_HOL_Otimes__class_Otimes(V_w,V_y,T_a),T_a),c_HOL_Otimes__class_Otimes(V_y,V_z,T_a),T_a)
% 0.74/0.88 | V_z = c_HOL_Ozero__class_Ozero(T_a)
% 0.74/0.88 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_mult_Ominus__left_0,axiom,
% 0.74/0.88 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 0.74/0.88 | 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) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_mult__left_Ominus_0,axiom,
% 0.74/0.88 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 0.74/0.88 | 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) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_mult_Ominus__right_0,axiom,
% 0.74/0.88 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 0.74/0.88 | 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) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_mult__right_Ominus_0,axiom,
% 0.74/0.88 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 0.74/0.88 | 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) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_square__eq__iff_1,axiom,
% 0.74/0.88 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.74/0.88 | 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) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_minus__mult__minus_0,axiom,
% 0.74/0.88 ( ~ class_Ring__and__Field_Oring(T_a)
% 0.74/0.88 | 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) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_mult__mono_0,axiom,
% 0.74/0.88 ( ~ class_Ring__and__Field_Opordered__semiring(T_a)
% 0.74/0.88 | 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)
% 0.74/0.88 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.74/0.88 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.74/0.88 | ~ c_lessequals(V_c,V_d,T_a)
% 0.74/0.88 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_mult__mono_H_0,axiom,
% 0.74/0.88 ( ~ class_Ring__and__Field_Opordered__semiring(T_a)
% 0.74/0.88 | 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)
% 0.74/0.88 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.74/0.88 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.74/0.88 | ~ c_lessequals(V_c,V_d,T_a)
% 0.74/0.88 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_max__add__distrib__left_0,axiom,
% 0.74/0.88 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.74/0.88 | c_HOL_Oplus__class_Oplus(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a) = c_Orderings_Oord__class_Omax(c_HOL_Oplus__class_Oplus(V_x,V_z,T_a),c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_divide__less__eq_2,axiom,
% 0.74/0.88 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.74/0.88 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.74/0.88 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.74/0.88 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.74/0.88 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.74/0.88 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_divide__less__eq_3,axiom,
% 0.74/0.88 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.74/0.88 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.74/0.88 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a)
% 0.74/0.88 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.74/0.88 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.74/0.88 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_divide__less__eq_8,axiom,
% 0.74/0.88 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.74/0.88 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.74/0.88 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a)
% 0.74/0.88 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.74/0.88 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a)
% 0.74/0.88 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_divide__less__eq_9,axiom,
% 0.74/0.88 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.74/0.88 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.74/0.88 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a)
% 0.74/0.88 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.74/0.88 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a)
% 0.74/0.88 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_less__divide__eq_2,axiom,
% 0.74/0.88 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.74/0.88 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.74/0.88 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.74/0.88 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.74/0.88 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.74/0.88 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_less__divide__eq_3,axiom,
% 0.74/0.88 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.74/0.88 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.74/0.88 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 0.74/0.88 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.74/0.88 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.74/0.88 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_less__divide__eq_8,axiom,
% 0.74/0.88 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.74/0.88 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.74/0.88 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 0.74/0.88 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.74/0.88 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a)
% 0.74/0.88 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_less__divide__eq_9,axiom,
% 0.74/0.88 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.74/0.88 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.74/0.88 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 0.74/0.88 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.74/0.88 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a)
% 0.74/0.88 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_mult__less__cancel__left__disj_0,axiom,
% 0.74/0.88 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.74/0.88 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.74/0.88 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.74/0.88 | ~ 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) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_mult__less__cancel__left__disj_3,axiom,
% 0.74/0.88 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.74/0.88 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.74/0.88 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.74/0.88 | ~ 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) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_mult__less__cancel__right__disj_0,axiom,
% 0.74/0.88 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.74/0.88 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.74/0.88 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.74/0.88 | ~ 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) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_mult__less__cancel__right__disj_3,axiom,
% 0.74/0.88 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.74/0.88 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.74/0.88 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.74/0.88 | ~ 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) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_mod__minus__eq_0,axiom,
% 0.74/0.88 ( ~ class_Divides_Oring__div(T_a)
% 0.74/0.88 | c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(c_Divides_Odiv__class_Omod(V_a,V_b,T_a),T_a),V_b,T_a) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_min__max_Osup__inf__absorb_0,axiom,
% 0.74/0.88 ( ~ class_Orderings_Olinorder(T_a)
% 0.74/0.88 | c_Orderings_Oord__class_Omax(V_x,c_Orderings_Oord__class_Omin(V_x,V_y,T_a),T_a) = V_x ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_divide__neg__neg_0,axiom,
% 0.74/0.88 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.74/0.88 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),T_a)
% 0.74/0.88 | ~ c_HOL_Oord__class_Oless(V_y,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.74/0.88 | ~ c_HOL_Oord__class_Oless(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_divide__pos__pos_0,axiom,
% 0.74/0.88 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.74/0.88 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),T_a)
% 0.74/0.88 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)
% 0.74/0.88 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_zero__less__divide__iff_4,axiom,
% 0.74/0.88 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.74/0.88 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.74/0.88 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a)
% 0.74/0.88 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.74/0.88 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_zero__less__divide__iff_5,axiom,
% 0.74/0.88 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.74/0.88 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.74/0.88 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a)
% 0.74/0.88 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.74/0.88 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_min__max_Odistrib__inf__le_0,axiom,
% 0.74/0.88 ( ~ class_Orderings_Olinorder(T_a)
% 0.74/0.88 | c_lessequals(c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),c_Orderings_Oord__class_Omin(V_x,V_z,T_a),T_a),c_Orderings_Oord__class_Omin(V_x,c_Orderings_Oord__class_Omax(V_y,V_z,T_a),T_a),T_a) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_dvd__add_0,axiom,
% 0.74/0.88 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.74/0.88 | c_Ring__and__Field_Odvd__class_Odvd(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a)
% 0.74/0.88 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_c,T_a)
% 0.74/0.88 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_min__max_Osup__commute_0,axiom,
% 0.74/0.88 ( ~ class_Orderings_Olinorder(T_a)
% 0.74/0.88 | c_Orderings_Oord__class_Omax(V_x,V_y,T_a) = c_Orderings_Oord__class_Omax(V_y,V_x,T_a) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_group__add__class_Odiff__0_0,axiom,
% 0.74/0.88 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.74/0.88 | c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ouminus__class_Ouminus(V_a,T_a) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_add__frac__num_0,axiom,
% 0.74/0.88 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.74/0.88 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.74/0.88 | c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),V_z,T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(V_x,c_HOL_Otimes__class_Otimes(V_z,V_y,T_a),T_a),V_y,T_a)
% 0.74/0.88 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_add__num__frac_0,axiom,
% 0.74/0.88 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.74/0.88 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.74/0.88 | c_HOL_Oplus__class_Oplus(V_z,c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(V_x,c_HOL_Otimes__class_Otimes(V_z,V_y,T_a),T_a),V_y,T_a)
% 0.74/0.88 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_class__semiring_Osemiring__rules_I20_J_0,axiom,
% 0.74/0.88 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.74/0.88 | 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) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_diff__def_0,axiom,
% 0.74/0.88 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.74/0.88 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) = c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ouminus__class_Ouminus(V_y,T_a),T_a) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_class__ring_Osub__add_0,axiom,
% 0.74/0.88 ( ~ class_Int_Onumber__ring(T_a)
% 0.74/0.88 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) = c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ouminus__class_Ouminus(V_y,T_a),T_a) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_diff__minus_0,axiom,
% 0.74/0.88 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.74/0.88 | c_HOL_Ominus__class_Ominus(V_a,V_b,T_a) = c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_ab__diff__minus_0,axiom,
% 0.74/0.88 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.74/0.88 | c_HOL_Ominus__class_Ominus(V_a,V_b,T_a) = c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_nonzero__minus__divide__divide_0,axiom,
% 0.74/0.88 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.74/0.88 | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) = c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a)
% 0.74/0.88 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_dvd__minus__iff_0,axiom,
% 0.74/0.88 ( ~ class_Ring__and__Field_Ocomm__ring__1(T_a)
% 0.74/0.88 | c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,T_a)
% 0.74/0.88 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,c_HOL_Ouminus__class_Ouminus(V_y,T_a),T_a) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_dvd__minus__iff_1,axiom,
% 0.74/0.88 ( ~ class_Ring__and__Field_Ocomm__ring__1(T_a)
% 0.74/0.88 | c_Ring__and__Field_Odvd__class_Odvd(V_x,c_HOL_Ouminus__class_Ouminus(V_y,T_a),T_a)
% 0.74/0.88 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,T_a) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_minus__dvd__iff_0,axiom,
% 0.74/0.88 ( ~ class_Ring__and__Field_Ocomm__ring__1(T_a)
% 0.74/0.88 | c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,T_a)
% 0.74/0.88 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(V_x,T_a),V_y,T_a) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_minus__dvd__iff_1,axiom,
% 0.74/0.88 ( ~ class_Ring__and__Field_Ocomm__ring__1(T_a)
% 0.74/0.88 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(V_x,T_a),V_y,T_a)
% 0.74/0.88 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,T_a) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_divide__strict__right__mono_0,axiom,
% 0.74/0.88 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.74/0.88 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_a,V_c,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 0.74/0.88 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.74/0.88 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_divide__strict__right__mono__neg_0,axiom,
% 0.74/0.88 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.74/0.88 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_a,V_c,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 0.74/0.88 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.74/0.88 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_divide__nonneg__pos_0,axiom,
% 0.74/0.88 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.74/0.88 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),T_a)
% 0.74/0.88 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)
% 0.74/0.88 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_divide__nonpos__neg_0,axiom,
% 0.74/0.88 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.74/0.88 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),T_a)
% 0.74/0.88 | ~ c_HOL_Oord__class_Oless(V_y,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.74/0.88 | ~ c_lessequals(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_min__add__distrib__left_0,axiom,
% 0.74/0.88 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.74/0.88 | c_HOL_Oplus__class_Oplus(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a) = c_Orderings_Oord__class_Omin(c_HOL_Oplus__class_Oplus(V_x,V_z,T_a),c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_divide__self__if_0,axiom,
% 0.74/0.88 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.74/0.88 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.74/0.88 | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_abs__leI_0,axiom,
% 0.74/0.88 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.74/0.88 | c_lessequals(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a)
% 0.74/0.88 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a)
% 0.74/0.88 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_abs__le__iff_2,axiom,
% 0.74/0.88 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.74/0.88 | c_lessequals(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a)
% 0.74/0.88 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a)
% 0.74/0.88 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_abs__minus__cancel_0,axiom,
% 0.74/0.88 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.74/0.88 | 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) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_class__ringb_Oadd__cancel_0,axiom,
% 0.74/0.88 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.74/0.88 | ~ class_Int_Onumber__ring(T_a)
% 0.74/0.88 | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) != c_HOL_Oplus__class_Oplus(V_x,V_z,T_a)
% 0.74/0.88 | V_y = V_z ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_add__imp__eq_0,axiom,
% 0.74/0.88 ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(T_a)
% 0.74/0.88 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) != c_HOL_Oplus__class_Oplus(V_a,V_c,T_a)
% 0.74/0.88 | V_b = V_c ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_add__left__cancel_0,axiom,
% 0.74/0.88 ( ~ class_OrderedGroup_Ocancel__semigroup__add(T_a)
% 0.74/0.88 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) != c_HOL_Oplus__class_Oplus(V_a,V_c,T_a)
% 0.74/0.88 | V_b = V_c ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_add__right__cancel_0,axiom,
% 0.74/0.88 ( ~ class_OrderedGroup_Ocancel__semigroup__add(T_a)
% 0.74/0.88 | c_HOL_Oplus__class_Oplus(V_b,V_a,T_a) != c_HOL_Oplus__class_Oplus(V_c,V_a,T_a)
% 0.74/0.88 | V_b = V_c ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_not__square__less__zero_0,axiom,
% 0.74/0.88 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.74/0.88 | ~ 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) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_mult__le__0__iff_4,axiom,
% 0.74/0.88 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.74/0.88 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.74/0.88 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.74/0.88 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_mult__le__0__iff_5,axiom,
% 0.74/0.88 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.74/0.88 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.74/0.88 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.74/0.88 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_split__mult__neg__le_0,axiom,
% 0.74/0.88 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 0.74/0.88 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.74/0.88 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.74/0.88 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_split__mult__neg__le_1,axiom,
% 0.74/0.88 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 0.74/0.88 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.74/0.88 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.74/0.88 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_mult__nonneg__nonpos_0,axiom,
% 0.74/0.88 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 0.74/0.88 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.74/0.88 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.74/0.88 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_mult__nonpos__nonneg_0,axiom,
% 0.74/0.88 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 0.74/0.88 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.74/0.88 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.74/0.88 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_mult__nonneg__nonpos2_0,axiom,
% 0.74/0.88 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 0.74/0.88 | c_lessequals(c_HOL_Otimes__class_Otimes(V_b,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.74/0.88 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.74/0.88 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_abs__le__zero__iff_1,axiom,
% 0.74/0.88 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.74/0.88 | 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) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_add__nonneg__pos_0,axiom,
% 0.74/0.88 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.74/0.88 | 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)
% 0.74/0.88 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.74/0.88 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_add__pos__nonneg_0,axiom,
% 0.74/0.88 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.74/0.88 | 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)
% 0.74/0.88 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.74/0.88 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_dvd__imp__mod__0_0,axiom,
% 0.74/0.88 ( ~ class_Divides_Osemiring__div(T_a)
% 0.74/0.88 | c_Divides_Odiv__class_Omod(V_b,V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a)
% 0.74/0.88 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_dvd__eq__mod__eq__0_1,axiom,
% 0.74/0.88 ( ~ class_Divides_Osemiring__div(T_a)
% 0.74/0.88 | c_Divides_Odiv__class_Omod(V_b,V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.74/0.88 | c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_dvd__0__left_0,axiom,
% 0.74/0.88 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.74/0.88 | V_a = c_HOL_Ozero__class_Ozero(T_a)
% 0.74/0.88 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_divide__le__eq_5,axiom,
% 0.74/0.88 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.74/0.88 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.74/0.88 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a)
% 0.74/0.88 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.74/0.88 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a)
% 0.74/0.88 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_divide__le__eq_7,axiom,
% 0.74/0.88 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.74/0.88 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.74/0.88 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a)
% 0.74/0.88 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.74/0.88 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.74/0.88 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_le__divide__eq_5,axiom,
% 0.74/0.88 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.74/0.88 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.74/0.88 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 0.74/0.88 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.74/0.88 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a)
% 0.74/0.88 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_le__divide__eq_7,axiom,
% 0.74/0.88 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.74/0.88 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.74/0.88 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 0.74/0.88 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.74/0.88 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.74/0.88 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_min__max_Oinf__assoc_0,axiom,
% 0.74/0.88 ( ~ class_Orderings_Olinorder(T_a)
% 0.74/0.88 | c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a) = c_Orderings_Oord__class_Omin(V_x,c_Orderings_Oord__class_Omin(V_y,V_z,T_a),T_a) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_min__max_Oinf__left__commute_0,axiom,
% 0.74/0.88 ( ~ class_Orderings_Olinorder(T_a)
% 0.74/0.88 | c_Orderings_Oord__class_Omin(V_x,c_Orderings_Oord__class_Omin(V_y,V_z,T_a),T_a) = c_Orderings_Oord__class_Omin(V_y,c_Orderings_Oord__class_Omin(V_x,V_z,T_a),T_a) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_neg__0__le__iff__le_0,axiom,
% 0.74/0.88 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.74/0.88 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.74/0.88 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 0.74/0.88
% 0.74/0.88 cnf(cls_neg__0__le__iff__le_1,axiom,
% 0.74/0.88 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.74/0.89 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
% 0.74/0.89 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_mult_OscaleR__left_0,axiom,
% 0.74/0.89 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 0.74/0.89 | c_HOL_Otimes__class_Otimes(c_RealVector_OscaleR__class_OscaleR(V_r,V_a,T_a),V_b,T_a) = c_RealVector_OscaleR__class_OscaleR(V_r,c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_mult__left_OscaleR_0,axiom,
% 0.74/0.89 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 0.74/0.89 | c_HOL_Otimes__class_Otimes(c_RealVector_OscaleR__class_OscaleR(V_r,V_x,T_a),V_y,T_a) = c_RealVector_OscaleR__class_OscaleR(V_r,c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_mult_OscaleR__right_0,axiom,
% 0.74/0.89 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 0.74/0.89 | c_HOL_Otimes__class_Otimes(V_a,c_RealVector_OscaleR__class_OscaleR(V_r,V_b,T_a),T_a) = c_RealVector_OscaleR__class_OscaleR(V_r,c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_mult__right_OscaleR_0,axiom,
% 0.74/0.89 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 0.74/0.89 | c_HOL_Otimes__class_Otimes(V_xa,c_RealVector_OscaleR__class_OscaleR(V_r,V_x,T_a),T_a) = c_RealVector_OscaleR__class_OscaleR(V_r,c_HOL_Otimes__class_Otimes(V_xa,V_x,T_a),T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_mult__scaleR__left_0,axiom,
% 0.74/0.89 ( ~ class_RealVector_Oreal__algebra(T_a)
% 0.74/0.89 | c_HOL_Otimes__class_Otimes(c_RealVector_OscaleR__class_OscaleR(V_a,V_x,T_a),V_y,T_a) = c_RealVector_OscaleR__class_OscaleR(V_a,c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_mult__scaleR__right_0,axiom,
% 0.74/0.89 ( ~ class_RealVector_Oreal__algebra(T_a)
% 0.74/0.89 | c_HOL_Otimes__class_Otimes(V_x,c_RealVector_OscaleR__class_OscaleR(V_a,V_y,T_a),T_a) = c_RealVector_OscaleR__class_OscaleR(V_a,c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_min__max_Ole__iff__inf_0,axiom,
% 0.74/0.89 ( ~ class_Orderings_Olinorder(T_a)
% 0.74/0.89 | c_Orderings_Oord__class_Omin(V_x,V_y,T_a) = V_x
% 0.74/0.89 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_min__max_Ole__iff__inf_1,axiom,
% 0.74/0.89 ( ~ class_Orderings_Olinorder(T_a)
% 0.74/0.89 | c_Orderings_Oord__class_Omin(V_x,V_y,T_a) != V_x
% 0.74/0.89 | c_lessequals(V_x,V_y,T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_min__max_Oinf__absorb2_0,axiom,
% 0.74/0.89 ( ~ class_Orderings_Olinorder(T_a)
% 0.74/0.89 | c_Orderings_Oord__class_Omin(V_x,V_y,T_a) = V_y
% 0.74/0.89 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_nonzero__abs__divide_0,axiom,
% 0.74/0.89 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.74/0.89 | c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a)
% 0.74/0.89 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_add__cancel__21_0,axiom,
% 0.74/0.89 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.74/0.89 | c_HOL_Oplus__class_Oplus(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a) != c_HOL_Oplus__class_Oplus(V_y,V_u,T_a)
% 0.74/0.89 | c_HOL_Oplus__class_Oplus(V_x,V_z,T_a) = V_u ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_min__max_Ole__iff__sup_0,axiom,
% 0.74/0.89 ( ~ class_Orderings_Olinorder(T_a)
% 0.74/0.89 | c_Orderings_Oord__class_Omax(V_x,V_y,T_a) = V_y
% 0.74/0.89 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_le__divide__eq_6,axiom,
% 0.74/0.89 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.74/0.89 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.74/0.89 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 0.74/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.74/0.89 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_le__divide__eq_0,axiom,
% 0.74/0.89 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.74/0.89 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.74/0.89 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a)
% 0.74/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.74/0.89 | ~ c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_divide__le__eq_6,axiom,
% 0.74/0.89 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.74/0.89 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.74/0.89 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a)
% 0.74/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.74/0.89 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_divide__le__eq_0,axiom,
% 0.74/0.89 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.74/0.89 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.74/0.89 | c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a)
% 0.74/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.74/0.89 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_class__ringb_Oadd__r0__iff_0,axiom,
% 0.74/0.89 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.74/0.89 | ~ class_Int_Onumber__ring(T_a)
% 0.74/0.89 | V_x != c_HOL_Oplus__class_Oplus(V_x,V_a,T_a)
% 0.74/0.89 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_sum__squares__ge__zero_0,axiom,
% 0.74/0.89 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.74/0.89 | 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) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_dvd__mod__imp__dvd_0,axiom,
% 0.74/0.89 ( ~ class_Divides_Osemiring__div(T_a)
% 0.74/0.89 | c_Ring__and__Field_Odvd__class_Odvd(V_k,V_m,T_a)
% 0.74/0.89 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,V_n,T_a)
% 0.74/0.89 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,c_Divides_Odiv__class_Omod(V_m,V_n,T_a),T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_dvd__mod__iff_1,axiom,
% 0.74/0.89 ( ~ class_Divides_Osemiring__div(T_a)
% 0.74/0.89 | c_Ring__and__Field_Odvd__class_Odvd(V_k,c_Divides_Odiv__class_Omod(V_m,V_n,T_a),T_a)
% 0.74/0.89 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,V_m,T_a)
% 0.74/0.89 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,V_n,T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_dvd__mod__iff_0,axiom,
% 0.74/0.89 ( ~ class_Divides_Osemiring__div(T_a)
% 0.74/0.89 | c_Ring__and__Field_Odvd__class_Odvd(V_k,V_m,T_a)
% 0.74/0.89 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,c_Divides_Odiv__class_Omod(V_m,V_n,T_a),T_a)
% 0.74/0.89 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,V_n,T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_dvd__mod_0,axiom,
% 0.74/0.89 ( ~ class_Divides_Osemiring__div(T_a)
% 0.74/0.89 | c_Ring__and__Field_Odvd__class_Odvd(V_k,c_Divides_Odiv__class_Omod(V_m,V_n,T_a),T_a)
% 0.74/0.89 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,V_n,T_a)
% 0.74/0.89 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,V_m,T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_le__add__iff2_1,axiom,
% 0.74/0.89 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 0.74/0.89 | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a),T_a)
% 0.74/0.89 | ~ c_lessequals(V_c,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_b,V_a,T_a),V_e,T_a),V_d,T_a),T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_le__add__iff2_0,axiom,
% 0.74/0.89 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 0.74/0.89 | c_lessequals(V_c,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_b,V_a,T_a),V_e,T_a),V_d,T_a),T_a)
% 0.74/0.89 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a),T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_le__add__iff1_1,axiom,
% 0.74/0.89 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 0.74/0.89 | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a),T_a)
% 0.74/0.89 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_e,T_a),V_c,T_a),V_d,T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_le__add__iff1_0,axiom,
% 0.74/0.89 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 0.74/0.89 | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_e,T_a),V_c,T_a),V_d,T_a)
% 0.74/0.89 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a),T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_divide__le__0__iff_5,axiom,
% 0.74/0.89 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.74/0.89 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.74/0.89 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.74/0.89 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.74/0.89 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_divide__le__0__iff_4,axiom,
% 0.74/0.89 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.74/0.89 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.74/0.89 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.74/0.89 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.74/0.89 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_add__increasing2_0,axiom,
% 0.74/0.89 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.74/0.89 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.74/0.89 | c_lessequals(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a)
% 0.74/0.89 | ~ c_lessequals(V_b,V_a,T_a)
% 0.74/0.89 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_add__increasing_0,axiom,
% 0.74/0.89 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.74/0.89 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.74/0.89 | c_lessequals(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a)
% 0.74/0.89 | ~ c_lessequals(V_b,V_c,T_a)
% 0.74/0.89 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_scaleR__minus__right_0,axiom,
% 0.74/0.89 ( ~ class_RealVector_Oreal__vector(T_a)
% 0.74/0.89 | c_RealVector_OscaleR__class_OscaleR(V_a,c_HOL_Ouminus__class_Ouminus(V_x,T_a),T_a) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(V_a,V_x,T_a),T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_scaleR_Ominus__right_0,axiom,
% 0.74/0.89 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 0.74/0.89 | c_RealVector_OscaleR__class_OscaleR(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(V_a,V_b,T_a),T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_min__max_Oinf__sup__distrib2_0,axiom,
% 0.74/0.89 ( ~ class_Orderings_Olinorder(T_a)
% 0.74/0.89 | c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(V_y,V_z,T_a),V_x,T_a) = c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(V_y,V_x,T_a),c_Orderings_Oord__class_Omin(V_z,V_x,T_a),T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_min__max_Oinf__sup__distrib1_0,axiom,
% 0.74/0.89 ( ~ class_Orderings_Olinorder(T_a)
% 0.74/0.89 | c_Orderings_Oord__class_Omin(V_x,c_Orderings_Oord__class_Omax(V_y,V_z,T_a),T_a) = c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),c_Orderings_Oord__class_Omin(V_x,V_z,T_a),T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_abs__minus__le__zero_0,axiom,
% 0.74/0.89 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.74/0.89 | 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) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_min__max_Ole__sup__iff_2,axiom,
% 0.74/0.89 ( ~ class_Orderings_Olinorder(T_a)
% 0.74/0.89 | c_lessequals(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a)
% 0.74/0.89 | ~ c_lessequals(V_y,V_z,T_a)
% 0.74/0.89 | ~ c_lessequals(V_x,V_z,T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_min__max_Osup__least_0,axiom,
% 0.74/0.89 ( ~ class_Orderings_Olinorder(T_a)
% 0.74/0.89 | c_lessequals(c_Orderings_Oord__class_Omax(V_y,V_z,T_a),V_x,T_a)
% 0.74/0.89 | ~ c_lessequals(V_z,V_x,T_a)
% 0.74/0.89 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_min__max_Ole__supI_0,axiom,
% 0.74/0.89 ( ~ class_Orderings_Olinorder(T_a)
% 0.74/0.89 | c_lessequals(c_Orderings_Oord__class_Omax(V_a,V_b,T_a),V_x,T_a)
% 0.74/0.89 | ~ c_lessequals(V_b,V_x,T_a)
% 0.74/0.89 | ~ c_lessequals(V_a,V_x,T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_le__maxI1_0,axiom,
% 0.74/0.89 ( ~ class_Orderings_Olinorder(T_a)
% 0.74/0.89 | c_lessequals(V_x,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_le__maxI2_0,axiom,
% 0.74/0.89 ( ~ class_Orderings_Olinorder(T_a)
% 0.74/0.89 | c_lessequals(V_y,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_eq__add__iff2_1,axiom,
% 0.74/0.89 ( ~ class_Ring__and__Field_Oring(T_a)
% 0.74/0.89 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_b,V_a,T_a),V_e,T_a),V_d,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_neg__le__iff__le_0,axiom,
% 0.74/0.89 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.74/0.89 | c_lessequals(V_a,V_b,T_a)
% 0.74/0.89 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_le__imp__neg__le_0,axiom,
% 0.74/0.89 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.74/0.89 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
% 0.74/0.89 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_abs__le__mult_0,axiom,
% 0.74/0.89 ( ~ class_Ring__and__Field_Olordered__ring(T_a)
% 0.74/0.89 | 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) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_abs__le__D1_0,axiom,
% 0.74/0.89 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.74/0.89 | c_lessequals(V_a,V_b,T_a)
% 0.74/0.89 | ~ c_lessequals(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_mult__strict__mono_0,axiom,
% 0.74/0.89 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.74/0.89 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_d,T_a),T_a)
% 0.74/0.89 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.74/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.74/0.89 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a)
% 0.74/0.89 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_zmod__simps_I4_J_0,axiom,
% 0.74/0.89 ( ~ class_Divides_Osemiring__div(T_a)
% 0.74/0.89 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(V_a,V_c,T_a),V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_c,T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_divide__left__mono__neg_0,axiom,
% 0.74/0.89 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.74/0.89 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.74/0.89 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_c,V_a,T_a),c_HOL_Oinverse__class_Odivide(V_c,V_b,T_a),T_a)
% 0.74/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 0.74/0.89 | ~ c_lessequals(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.74/0.89 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_divide__left__mono_0,axiom,
% 0.74/0.89 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.74/0.89 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_c,V_a,T_a),c_HOL_Oinverse__class_Odivide(V_c,V_b,T_a),T_a)
% 0.74/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 0.74/0.89 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.74/0.89 | ~ c_lessequals(V_b,V_a,T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_min__max_Oinf__greatest_0,axiom,
% 0.74/0.89 ( ~ class_Orderings_Olinorder(T_a)
% 0.74/0.89 | c_lessequals(V_x,c_Orderings_Oord__class_Omin(V_y,V_z,T_a),T_a)
% 0.74/0.89 | ~ c_lessequals(V_x,V_z,T_a)
% 0.74/0.89 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_min__max_Ole__inf__iff_2,axiom,
% 0.74/0.89 ( ~ class_Orderings_Olinorder(T_a)
% 0.74/0.89 | c_lessequals(V_x,c_Orderings_Oord__class_Omin(V_y,V_z,T_a),T_a)
% 0.74/0.89 | ~ c_lessequals(V_x,V_z,T_a)
% 0.74/0.89 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_min__max_Ole__infI_0,axiom,
% 0.74/0.89 ( ~ class_Orderings_Olinorder(T_a)
% 0.74/0.89 | c_lessequals(V_x,c_Orderings_Oord__class_Omin(V_a,V_b,T_a),T_a)
% 0.74/0.89 | ~ c_lessequals(V_x,V_b,T_a)
% 0.74/0.89 | ~ c_lessequals(V_x,V_a,T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_min__max_Oinf__le2_0,axiom,
% 0.74/0.89 ( ~ class_Orderings_Olinorder(T_a)
% 0.74/0.89 | c_lessequals(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_y,T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_min__max_Oinf__le1_0,axiom,
% 0.74/0.89 ( ~ class_Orderings_Olinorder(T_a)
% 0.74/0.89 | c_lessequals(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_x,T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_max__less__iff__conj_2,axiom,
% 0.74/0.89 ( ~ class_Orderings_Olinorder(T_a)
% 0.74/0.89 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a)
% 0.74/0.89 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a)
% 0.74/0.89 | ~ c_HOL_Oord__class_Oless(V_x,V_z,T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_complex__mod__cnj_0,axiom,
% 0.74/0.89 c_RealVector_Onorm__class_Onorm(c_Complex_Ocnj(V_z),tc_Complex_Ocomplex) = c_RealVector_Onorm__class_Onorm(V_z,tc_Complex_Ocomplex) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_dvd__triv__right_0,axiom,
% 0.74/0.89 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.74/0.89 | c_Ring__and__Field_Odvd__class_Odvd(V_a,c_HOL_Otimes__class_Otimes(V_b,V_a,T_a),T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_dvd__triv__left_0,axiom,
% 0.74/0.89 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.74/0.89 | c_Ring__and__Field_Odvd__class_Odvd(V_a,c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_dvdI_0,axiom,
% 0.74/0.89 ( ~ class_Ring__and__Field_Odvd(T_a)
% 0.74/0.89 | c_Ring__and__Field_Odvd__class_Odvd(V_b,c_HOL_Otimes__class_Otimes(V_b,V_k,T_a),T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_frac__less2_0,axiom,
% 0.74/0.89 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.74/0.89 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_x,V_z,T_a),c_HOL_Oinverse__class_Odivide(V_y,V_w,T_a),T_a)
% 0.74/0.89 | ~ c_HOL_Oord__class_Oless(V_w,V_z,T_a)
% 0.74/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_w,T_a)
% 0.74/0.89 | ~ c_lessequals(V_x,V_y,T_a)
% 0.74/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_nonzero__minus__divide__right_0,axiom,
% 0.74/0.89 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.74/0.89 | c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) = c_HOL_Oinverse__class_Odivide(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a)
% 0.74/0.89 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_neg__less__0__iff__less_1,axiom,
% 0.74/0.89 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.74/0.89 | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.74/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_neg__less__0__iff__less_0,axiom,
% 0.74/0.89 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.74/0.89 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.74/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_mod__0_0,axiom,
% 0.74/0.89 ( ~ class_Divides_Osemiring__div(T_a)
% 0.74/0.89 | c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_min__less__iff__conj_2,axiom,
% 0.74/0.89 ( ~ class_Orderings_Olinorder(T_a)
% 0.74/0.89 | c_HOL_Oord__class_Oless(V_z,c_Orderings_Oord__class_Omin(V_x,V_y,T_a),T_a)
% 0.74/0.89 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a)
% 0.74/0.89 | ~ c_HOL_Oord__class_Oless(V_z,V_x,T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_class__ringb_Oadd__mul__solve_1,axiom,
% 0.74/0.89 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.74/0.89 | ~ class_Int_Onumber__ring(T_a)
% 0.74/0.89 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),c_HOL_Otimes__class_Otimes(V_x,V_z,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_z,T_a),c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_class__ringb_Onoteq__reduce_1,axiom,
% 0.74/0.89 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.74/0.89 | ~ class_Int_Onumber__ring(T_a)
% 0.74/0.89 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_c,T_a),c_HOL_Otimes__class_Otimes(V_x,V_d,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_d,T_a),c_HOL_Otimes__class_Otimes(V_x,V_c,T_a),T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_abs__triangle__ineq3_0,axiom,
% 0.74/0.89 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.74/0.89 | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a),T_a),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),T_a),T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_min__max_Oinf__left__idem_0,axiom,
% 0.74/0.89 ( ~ class_Orderings_Olinorder(T_a)
% 0.74/0.89 | c_Orderings_Oord__class_Omin(V_x,c_Orderings_Oord__class_Omin(V_x,V_y,T_a),T_a) = c_Orderings_Oord__class_Omin(V_x,V_y,T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_abs__mult__less_0,axiom,
% 0.74/0.89 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.74/0.89 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a),c_HOL_Otimes__class_Otimes(V_c,V_d,T_a),T_a)
% 0.74/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(V_b,T_a),V_d,T_a)
% 0.74/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(V_a,T_a),V_c,T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_cnj_Ozero_0,axiom,
% 0.74/0.89 c_Complex_Ocnj(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_add__nonneg__eq__0__iff_2,axiom,
% 0.74/0.89 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.74/0.89 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.74/0.89 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.74/0.89 | 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) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_class__semiring_Omul__c_0,axiom,
% 0.74/0.89 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.74/0.89 | c_HOL_Otimes__class_Otimes(V_x,V_y,T_a) = c_HOL_Otimes__class_Otimes(V_y,V_x,T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_double__eq__0__iff_1,axiom,
% 0.74/0.89 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.74/0.89 | 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) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_class__semiring_Osemiring__rules_I7_J_0,axiom,
% 0.74/0.89 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.74/0.89 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) = c_HOL_Otimes__class_Otimes(V_b,V_a,T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_mod__add__eq_0,axiom,
% 0.74/0.89 ( ~ class_Divides_Osemiring__div(T_a)
% 0.74/0.89 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(V_a,V_c,T_a),c_Divides_Odiv__class_Omod(V_b,V_c,T_a),T_a),V_c,T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_xt1_I10_J_0,axiom,
% 0.74/0.89 ( ~ class_Orderings_Oorder(T_a)
% 0.74/0.89 | c_HOL_Oord__class_Oless(V_z,V_x,T_a)
% 0.74/0.89 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a)
% 0.74/0.89 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_order__less__trans_0,axiom,
% 0.74/0.89 ( ~ class_Orderings_Opreorder(T_a)
% 0.74/0.89 | c_HOL_Oord__class_Oless(V_x,V_z,T_a)
% 0.74/0.89 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a)
% 0.74/0.89 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_abs__eq__0_1,axiom,
% 0.74/0.89 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.74/0.89 | c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_comm__monoid__add_Omult__left__commute_0,axiom,
% 0.74/0.89 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.74/0.89 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) = c_HOL_Oplus__class_Oplus(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_comm__monoid__add_Omult__assoc_0,axiom,
% 0.74/0.89 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.74/0.89 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_class__semiring_Oadd__a_0,axiom,
% 0.74/0.89 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.74/0.89 | c_HOL_Oplus__class_Oplus(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_x,V_y,T_a),V_z,T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_add__cancel__21_1,axiom,
% 0.74/0.89 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.74/0.89 | c_HOL_Oplus__class_Oplus(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a) = c_HOL_Oplus__class_Oplus(V_y,c_HOL_Oplus__class_Oplus(V_x,V_z,T_a),T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_ab__semigroup__add__class_Oadd__ac_I1_J_0,axiom,
% 0.74/0.89 ( ~ class_OrderedGroup_Oab__semigroup__add(T_a)
% 0.74/0.89 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_class__semiring_Osemiring__rules_I25_J_0,axiom,
% 0.74/0.89 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.74/0.89 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(V_c,V_d,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),V_d,T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_class__semiring_Osemiring__rules_I23_J_0,axiom,
% 0.74/0.89 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.74/0.89 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),V_b,T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_class__semiring_Osemiring__rules_I22_J_0,axiom,
% 0.74/0.89 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.74/0.89 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(V_c,V_d,T_a),T_a) = c_HOL_Oplus__class_Oplus(V_c,c_HOL_Oplus__class_Oplus(V_a,V_d,T_a),T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_class__semiring_Osemiring__rules_I21_J_0,axiom,
% 0.74/0.89 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.74/0.89 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_neg__0__equal__iff__equal_0,axiom,
% 0.74/0.89 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.74/0.89 | c_HOL_Ozero__class_Ozero(T_a) != c_HOL_Ouminus__class_Ouminus(V_a,T_a)
% 0.74/0.89 | c_HOL_Ozero__class_Ozero(T_a) = V_a ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_abs__triangle__ineq_0,axiom,
% 0.74/0.89 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.74/0.89 | 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) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_less__le__not__le_1,axiom,
% 0.74/0.89 ( ~ class_Orderings_Opreorder(T_a)
% 0.74/0.89 | ~ c_lessequals(V_y,V_x,T_a)
% 0.74/0.89 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_not__leE_0,axiom,
% 0.74/0.89 ( ~ class_Orderings_Olinorder(T_a)
% 0.74/0.89 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.74/0.89 | c_lessequals(V_y,V_x,T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_linorder__antisym__conv2_1,axiom,
% 0.74/0.89 ( ~ class_Orderings_Olinorder(T_a)
% 0.74/0.89 | ~ c_lessequals(V_x,V_x,T_a)
% 0.74/0.89 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_linorder__antisym__conv1_1,axiom,
% 0.74/0.89 ( ~ class_Orderings_Olinorder(T_a)
% 0.74/0.89 | c_HOL_Oord__class_Oless(V_x,V_x,T_a)
% 0.74/0.89 | c_lessequals(V_x,V_x,T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_linorder__not__less_1,axiom,
% 0.74/0.89 ( ~ class_Orderings_Olinorder(T_a)
% 0.74/0.89 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.74/0.89 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_linorder__not__less_0,axiom,
% 0.74/0.89 ( ~ class_Orderings_Olinorder(T_a)
% 0.74/0.89 | c_lessequals(V_y,V_x,T_a)
% 0.74/0.89 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_linorder__not__le_0,axiom,
% 0.74/0.89 ( ~ class_Orderings_Olinorder(T_a)
% 0.74/0.89 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.74/0.89 | c_lessequals(V_x,V_y,T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_linorder__not__le_1,axiom,
% 0.74/0.89 ( ~ class_Orderings_Olinorder(T_a)
% 0.74/0.89 | ~ c_lessequals(V_x,V_y,T_a)
% 0.74/0.89 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_mod__add__right__eq_0,axiom,
% 0.74/0.89 ( ~ class_Divides_Osemiring__div(T_a)
% 0.74/0.89 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a,c_Divides_Odiv__class_Omod(V_b,V_c,T_a),T_a),V_c,T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_mod__add__left__eq_0,axiom,
% 0.74/0.89 ( ~ class_Divides_Osemiring__div(T_a)
% 0.74/0.89 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(V_a,V_c,T_a),V_b,T_a),V_c,T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_zero__le__divide__iff_3,axiom,
% 0.74/0.89 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.74/0.89 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.74/0.89 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.74/0.89 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.74/0.89 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_zero__le__divide__iff_2,axiom,
% 0.74/0.89 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.74/0.89 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.74/0.89 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.74/0.89 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.74/0.89 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_zero__le__divide__iff_1,axiom,
% 0.74/0.89 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.74/0.89 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.74/0.89 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.74/0.89 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.74/0.89 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_zero__le__divide__iff_0,axiom,
% 0.74/0.89 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.74/0.89 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.74/0.89 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.74/0.89 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.74/0.89 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_add__strict__increasing2_0,axiom,
% 0.74/0.89 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.74/0.89 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.74/0.89 | c_HOL_Oord__class_Oless(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a)
% 0.74/0.89 | ~ c_HOL_Oord__class_Oless(V_b,V_c,T_a)
% 0.74/0.89 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_min__max_Oinf__sup__absorb_0,axiom,
% 0.74/0.89 ( ~ class_Orderings_Olinorder(T_a)
% 0.74/0.89 | c_Orderings_Oord__class_Omin(V_x,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) = V_x ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_mult__right__le__imp__le_0,axiom,
% 0.74/0.89 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.74/0.89 | c_lessequals(V_a,V_b,T_a)
% 0.74/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.74/0.89 | ~ 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) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_mult__left__le__imp__le_0,axiom,
% 0.74/0.89 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.74/0.89 | c_lessequals(V_a,V_b,T_a)
% 0.74/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.74/0.89 | ~ 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) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_mult__le__cancel__left__pos_1,axiom,
% 0.74/0.89 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.74/0.89 | 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)
% 0.74/0.89 | ~ c_lessequals(V_a,V_b,T_a)
% 0.74/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_mult__le__cancel__left__pos_0,axiom,
% 0.74/0.89 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.74/0.89 | c_lessequals(V_a,V_b,T_a)
% 0.74/0.89 | ~ 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)
% 0.74/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_mult__le__cancel__left__neg_1,axiom,
% 0.74/0.89 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.74/0.89 | 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)
% 0.74/0.89 | ~ c_lessequals(V_b,V_a,T_a)
% 0.74/0.89 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_mult__le__cancel__left__neg_0,axiom,
% 0.74/0.89 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.74/0.89 | c_lessequals(V_b,V_a,T_a)
% 0.74/0.89 | ~ 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)
% 0.74/0.89 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_min__max_Ole__iff__sup_1,axiom,
% 0.74/0.89 ( ~ class_Orderings_Olinorder(T_a)
% 0.74/0.89 | c_Orderings_Oord__class_Omax(V_x,V_y,T_a) != V_y
% 0.74/0.89 | c_lessequals(V_x,V_y,T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_min__max_Osup__absorb1_0,axiom,
% 0.74/0.89 ( ~ class_Orderings_Olinorder(T_a)
% 0.74/0.89 | c_Orderings_Oord__class_Omax(V_x,V_y,T_a) = V_x
% 0.74/0.89 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_add__nonneg__nonneg_0,axiom,
% 0.74/0.89 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.74/0.89 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a)
% 0.74/0.89 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.74/0.89 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_divide_OscaleR_0,axiom,
% 0.74/0.89 ( ~ class_RealVector_Oreal__normed__field(T_a)
% 0.74/0.89 | c_HOL_Oinverse__class_Odivide(c_RealVector_OscaleR__class_OscaleR(V_r,V_x,T_a),V_y,T_a) = c_RealVector_OscaleR__class_OscaleR(V_r,c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_add__mono_0,axiom,
% 0.74/0.89 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a)
% 0.74/0.89 | 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)
% 0.74/0.89 | ~ c_lessequals(V_c,V_d,T_a)
% 0.74/0.89 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_zero__le__double__add__iff__zero__le__single__add_0,axiom,
% 0.74/0.89 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.74/0.89 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.74/0.89 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_zero__le__double__add__iff__zero__le__single__add_1,axiom,
% 0.74/0.89 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.74/0.89 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),T_a)
% 0.74/0.89 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_DERIV__mult__lemma_0,axiom,
% 0.74/0.89 ( ~ class_RealVector_Oreal__field(T_a)
% 0.74/0.89 | c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Otimes__class_Otimes(V_c,V_d,T_a),T_a),V_h,T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(V_b,V_d,T_a),V_h,T_a),T_a),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(V_a,V_c,T_a),V_h,T_a),V_d,T_a),T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_mod__mod__trivial_0,axiom,
% 0.74/0.89 ( ~ class_Divides_Osemiring__div(T_a)
% 0.74/0.89 | c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(V_a,V_b,T_a),V_b,T_a) = c_Divides_Odiv__class_Omod(V_a,V_b,T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_abs__diff__triangle__ineq_0,axiom,
% 0.74/0.89 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.74/0.89 | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Oplus__class_Oplus(V_c,V_d,T_a),T_a),T_a),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(V_a,V_c,T_a),T_a),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(V_b,V_d,T_a),T_a),T_a),T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_add__strict__increasing_0,axiom,
% 0.74/0.89 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.74/0.89 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.74/0.89 | c_HOL_Oord__class_Oless(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a)
% 0.74/0.89 | ~ c_lessequals(V_b,V_c,T_a)
% 0.74/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_le__minus__self__iff_0,axiom,
% 0.74/0.89 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.74/0.89 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.74/0.89 | ~ c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_le__minus__self__iff_1,axiom,
% 0.74/0.89 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.74/0.89 | c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
% 0.74/0.89 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_minus__le__self__iff_0,axiom,
% 0.74/0.89 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.74/0.89 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.74/0.89 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_a,T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_minus__le__self__iff_1,axiom,
% 0.74/0.89 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.74/0.89 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_a,T_a)
% 0.74/0.89 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_less__eq__neg__nonpos_0,axiom,
% 0.74/0.89 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a)
% 0.74/0.89 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.74/0.89 | ~ c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_less__eq__neg__nonpos_1,axiom,
% 0.74/0.89 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a)
% 0.74/0.89 | c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
% 0.74/0.89 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_neg__less__eq__nonneg_0,axiom,
% 0.74/0.89 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a)
% 0.74/0.89 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.74/0.89 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_a,T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_neg__less__eq__nonneg_1,axiom,
% 0.74/0.89 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a)
% 0.74/0.89 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_a,T_a)
% 0.74/0.89 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_eq__add__iff1_1,axiom,
% 0.74/0.89 ( ~ class_Ring__and__Field_Oring(T_a)
% 0.74/0.89 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_e,T_a),V_c,T_a),T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_dvd__mult__cancel__left_2,axiom,
% 0.74/0.89 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.74/0.89 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 0.74/0.89 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_dvd__mult__cancel__right_2,axiom,
% 0.74/0.89 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.74/0.89 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a)
% 0.74/0.89 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_abs__idempotent_0,axiom,
% 0.74/0.89 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.74/0.89 | 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) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_eq__add__iff1_0,axiom,
% 0.74/0.89 ( ~ class_Ring__and__Field_Oring(T_a)
% 0.74/0.89 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a)
% 0.74/0.89 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_e,T_a),V_c,T_a) = V_d ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_eq__add__iff2_0,axiom,
% 0.74/0.89 ( ~ class_Ring__and__Field_Oring(T_a)
% 0.74/0.89 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a)
% 0.74/0.89 | V_c = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_b,V_a,T_a),V_e,T_a),V_d,T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_zero__less__abs__iff_1,axiom,
% 0.74/0.89 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.74/0.89 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oabs__class_Oabs(V_a,T_a),T_a)
% 0.74/0.89 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_norm__minus__cancel_0,axiom,
% 0.74/0.89 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 0.74/0.89 | 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) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_complex__cnj__cnj_0,axiom,
% 0.74/0.89 c_Complex_Ocnj(c_Complex_Ocnj(V_z)) = V_z ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_scaleR_OscaleR__right_0,axiom,
% 0.74/0.89 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 0.74/0.89 | c_RealVector_OscaleR__class_OscaleR(V_a,c_RealVector_OscaleR__class_OscaleR(V_r,V_b,T_a),T_a) = c_RealVector_OscaleR__class_OscaleR(V_r,c_RealVector_OscaleR__class_OscaleR(V_a,V_b,T_a),T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_scaleR__left__commute_0,axiom,
% 0.74/0.89 ( ~ class_RealVector_Oreal__vector(T_a)
% 0.74/0.89 | c_RealVector_OscaleR__class_OscaleR(V_a,c_RealVector_OscaleR__class_OscaleR(V_b,V_x,T_a),T_a) = c_RealVector_OscaleR__class_OscaleR(V_b,c_RealVector_OscaleR__class_OscaleR(V_a,V_x,T_a),T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_scaleR__right_OscaleR_0,axiom,
% 0.74/0.89 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 0.74/0.89 | c_RealVector_OscaleR__class_OscaleR(V_ra,c_RealVector_OscaleR__class_OscaleR(V_r,V_x,T_a),T_a) = c_RealVector_OscaleR__class_OscaleR(V_r,c_RealVector_OscaleR__class_OscaleR(V_ra,V_x,T_a),T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_mod__by__0_0,axiom,
% 0.74/0.89 ( ~ class_Divides_Osemiring__div(T_a)
% 0.74/0.89 | c_Divides_Odiv__class_Omod(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_mod__self_0,axiom,
% 0.74/0.89 ( ~ class_Divides_Osemiring__div(T_a)
% 0.74/0.89 | c_Divides_Odiv__class_Omod(V_a,V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_class__semiring_Osemiring__rules_I24_J_0,axiom,
% 0.74/0.89 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.74/0.89 | c_HOL_Oplus__class_Oplus(V_a,V_c,T_a) = c_HOL_Oplus__class_Oplus(V_c,V_a,T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_class__semiring_Oadd__c_0,axiom,
% 0.74/0.89 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.74/0.89 | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) = c_HOL_Oplus__class_Oplus(V_y,V_x,T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_comm__monoid__add_Omult__commute_0,axiom,
% 0.74/0.89 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.74/0.89 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) = c_HOL_Oplus__class_Oplus(V_b,V_a,T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_divide__le__0__iff_0,axiom,
% 0.74/0.89 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.74/0.89 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.74/0.89 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.74/0.89 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.74/0.89 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_divide__le__0__iff_1,axiom,
% 0.74/0.89 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.74/0.89 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.74/0.89 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.74/0.89 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.74/0.89 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_divide__le__0__iff_2,axiom,
% 0.74/0.89 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.74/0.89 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.74/0.89 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.74/0.89 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.74/0.89 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_divide__le__0__iff_3,axiom,
% 0.74/0.89 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.74/0.89 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.74/0.89 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.74/0.89 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.74/0.89 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_mod__minus__cong_0,axiom,
% 0.74/0.89 ( ~ class_Divides_Oring__div(T_a)
% 0.74/0.89 | c_Divides_Odiv__class_Omod(V_a,V_b,T_a) != c_Divides_Odiv__class_Omod(V_a_H,V_b,T_a)
% 0.74/0.89 | c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(V_a_H,T_a),V_b,T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_mod__mult__eq_0,axiom,
% 0.74/0.89 ( ~ class_Divides_Osemiring__div(T_a)
% 0.74/0.89 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(V_a,V_c,T_a),c_Divides_Odiv__class_Omod(V_b,V_c,T_a),T_a),V_c,T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_le__max__iff__disj_0,axiom,
% 0.74/0.89 ( ~ class_Orderings_Olinorder(T_a)
% 0.74/0.89 | c_lessequals(V_z,V_y,T_a)
% 0.74/0.89 | c_lessequals(V_z,V_x,T_a)
% 0.74/0.89 | ~ c_lessequals(V_z,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_min__max_Ole__infE_0,axiom,
% 0.74/0.89 ( ~ class_Orderings_Olinorder(T_a)
% 0.74/0.89 | c_lessequals(V_x,V_a,T_a)
% 0.74/0.89 | ~ c_lessequals(V_x,c_Orderings_Oord__class_Omin(V_a,V_b,T_a),T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_min__max_Ole__infE_1,axiom,
% 0.74/0.89 ( ~ class_Orderings_Olinorder(T_a)
% 0.74/0.89 | c_lessequals(V_x,V_b,T_a)
% 0.74/0.89 | ~ c_lessequals(V_x,c_Orderings_Oord__class_Omin(V_a,V_b,T_a),T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_min__max_Ole__infI1_0,axiom,
% 0.74/0.89 ( ~ class_Orderings_Olinorder(T_a)
% 0.74/0.89 | c_lessequals(c_Orderings_Oord__class_Omin(V_a,V_b,T_a),V_x,T_a)
% 0.74/0.89 | ~ c_lessequals(V_a,V_x,T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_min__max_Ole__infI2_0,axiom,
% 0.74/0.89 ( ~ class_Orderings_Olinorder(T_a)
% 0.74/0.89 | c_lessequals(c_Orderings_Oord__class_Omin(V_a,V_b,T_a),V_x,T_a)
% 0.74/0.89 | ~ c_lessequals(V_b,V_x,T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_min__le__iff__disj_1,axiom,
% 0.74/0.89 ( ~ class_Orderings_Olinorder(T_a)
% 0.74/0.89 | c_lessequals(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a)
% 0.74/0.89 | ~ c_lessequals(V_x,V_z,T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_min__le__iff__disj_2,axiom,
% 0.74/0.89 ( ~ class_Orderings_Olinorder(T_a)
% 0.74/0.89 | c_lessequals(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a)
% 0.74/0.89 | ~ c_lessequals(V_y,V_z,T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_min__max_Ole__inf__iff_0,axiom,
% 0.74/0.89 ( ~ class_Orderings_Olinorder(T_a)
% 0.74/0.89 | c_lessequals(V_x,V_y,T_a)
% 0.74/0.89 | ~ c_lessequals(V_x,c_Orderings_Oord__class_Omin(V_y,V_z,T_a),T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_min__max_Ole__inf__iff_1,axiom,
% 0.74/0.89 ( ~ class_Orderings_Olinorder(T_a)
% 0.74/0.89 | c_lessequals(V_x,V_z,T_a)
% 0.74/0.89 | ~ c_lessequals(V_x,c_Orderings_Oord__class_Omin(V_y,V_z,T_a),T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_divide__less__eq_1,axiom,
% 0.74/0.89 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.74/0.89 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.74/0.89 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a)
% 0.74/0.89 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.74/0.89 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.74/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_divide__less__eq_4,axiom,
% 0.74/0.89 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.74/0.89 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.74/0.89 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a)
% 0.74/0.89 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.74/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a)
% 0.74/0.89 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_divide__less__eq_5,axiom,
% 0.74/0.89 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.74/0.89 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.74/0.89 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a)
% 0.74/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.74/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a)
% 0.74/0.89 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_divide__less__eq_7,axiom,
% 0.74/0.89 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.74/0.89 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.74/0.89 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a)
% 0.74/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.74/0.89 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.74/0.89 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_less__divide__eq_1,axiom,
% 0.74/0.89 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.74/0.89 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.74/0.89 | c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a)
% 0.74/0.89 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.74/0.89 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.74/0.89 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_less__divide__eq_4,axiom,
% 0.74/0.89 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.74/0.89 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.74/0.89 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 0.74/0.89 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.74/0.89 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a)
% 0.74/0.89 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_less__divide__eq_5,axiom,
% 0.74/0.89 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.74/0.89 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.74/0.89 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 0.74/0.89 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.74/0.89 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a)
% 0.74/0.89 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_less__divide__eq_7,axiom,
% 0.74/0.89 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.74/0.89 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.74/0.89 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 0.74/0.89 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.74/0.89 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.74/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_abs__ge__minus__self_0,axiom,
% 0.74/0.89 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.74/0.89 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Oabs__class_Oabs(V_a,T_a),T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_abs__ge__self_0,axiom,
% 0.74/0.89 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.74/0.89 | c_lessequals(V_a,c_HOL_Oabs__class_Oabs(V_a,T_a),T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_less__add__iff1_0,axiom,
% 0.74/0.89 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 0.74/0.89 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_e,T_a),V_c,T_a),V_d,T_a)
% 0.74/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a),T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_less__add__iff1_1,axiom,
% 0.74/0.89 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 0.74/0.89 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a),T_a)
% 0.74/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_e,T_a),V_c,T_a),V_d,T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_less__add__iff2_0,axiom,
% 0.74/0.89 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 0.74/0.89 | c_HOL_Oord__class_Oless(V_c,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_b,V_a,T_a),V_e,T_a),V_d,T_a),T_a)
% 0.74/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a),T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_less__add__iff2_1,axiom,
% 0.74/0.89 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 0.74/0.89 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a),T_a)
% 0.74/0.89 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_b,V_a,T_a),V_e,T_a),V_d,T_a),T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_min__le__iff__disj_0,axiom,
% 0.74/0.89 ( ~ class_Orderings_Olinorder(T_a)
% 0.74/0.89 | c_lessequals(V_y,V_z,T_a)
% 0.74/0.89 | c_lessequals(V_x,V_z,T_a)
% 0.74/0.89 | ~ c_lessequals(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_eq__divide__eq_4,axiom,
% 0.74/0.89 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.74/0.89 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.74/0.89 | c_HOL_Ozero__class_Ozero(T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a),V_c,T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_mod__add__cong_0,axiom,
% 0.74/0.89 ( ~ class_Divides_Osemiring__div(T_a)
% 0.74/0.89 | c_Divides_Odiv__class_Omod(V_b,V_c,T_a) != c_Divides_Odiv__class_Omod(V_b_H,V_c,T_a)
% 0.74/0.89 | c_Divides_Odiv__class_Omod(V_a,V_c,T_a) != c_Divides_Odiv__class_Omod(V_a_H,V_c,T_a)
% 0.74/0.89 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a_H,V_b_H,T_a),V_c,T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_min__max_Ole__supE_0,axiom,
% 0.74/0.89 ( ~ class_Orderings_Olinorder(T_a)
% 0.74/0.89 | c_lessequals(V_a,V_x,T_a)
% 0.74/0.89 | ~ c_lessequals(c_Orderings_Oord__class_Omax(V_a,V_b,T_a),V_x,T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_min__max_Ole__supE_1,axiom,
% 0.74/0.89 ( ~ class_Orderings_Olinorder(T_a)
% 0.74/0.89 | c_lessequals(V_b,V_x,T_a)
% 0.74/0.89 | ~ c_lessequals(c_Orderings_Oord__class_Omax(V_a,V_b,T_a),V_x,T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_min__max_Ole__supI1_0,axiom,
% 0.74/0.89 ( ~ class_Orderings_Olinorder(T_a)
% 0.74/0.89 | c_lessequals(V_x,c_Orderings_Oord__class_Omax(V_a,V_b,T_a),T_a)
% 0.74/0.89 | ~ c_lessequals(V_x,V_a,T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_min__max_Ole__supI2_0,axiom,
% 0.74/0.89 ( ~ class_Orderings_Olinorder(T_a)
% 0.74/0.89 | c_lessequals(V_x,c_Orderings_Oord__class_Omax(V_a,V_b,T_a),T_a)
% 0.74/0.89 | ~ c_lessequals(V_x,V_b,T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_le__max__iff__disj_1,axiom,
% 0.74/0.89 ( ~ class_Orderings_Olinorder(T_a)
% 0.74/0.89 | c_lessequals(V_z,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a)
% 0.74/0.89 | ~ c_lessequals(V_z,V_x,T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_le__max__iff__disj_2,axiom,
% 0.74/0.89 ( ~ class_Orderings_Olinorder(T_a)
% 0.74/0.89 | c_lessequals(V_z,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a)
% 0.74/0.89 | ~ c_lessequals(V_z,V_y,T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_min__max_Ole__sup__iff_0,axiom,
% 0.74/0.89 ( ~ class_Orderings_Olinorder(T_a)
% 0.74/0.89 | c_lessequals(V_x,V_z,T_a)
% 0.74/0.89 | ~ c_lessequals(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_min__max_Ole__sup__iff_1,axiom,
% 0.74/0.89 ( ~ class_Orderings_Olinorder(T_a)
% 0.74/0.89 | c_lessequals(V_y,V_z,T_a)
% 0.74/0.89 | ~ c_lessequals(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_less__max__iff__disj_0,axiom,
% 0.74/0.89 ( ~ class_Orderings_Olinorder(T_a)
% 0.74/0.89 | c_HOL_Oord__class_Oless(V_z,V_y,T_a)
% 0.74/0.89 | c_HOL_Oord__class_Oless(V_z,V_x,T_a)
% 0.74/0.89 | ~ c_HOL_Oord__class_Oless(V_z,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_minus__unique_0,axiom,
% 0.74/0.89 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.74/0.89 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.74/0.89 | c_HOL_Ouminus__class_Ouminus(V_a,T_a) = V_b ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_eq__neg__iff__add__eq__0_1,axiom,
% 0.74/0.89 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.74/0.89 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.74/0.89 | V_a = c_HOL_Ouminus__class_Ouminus(V_b,T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_abs__less__iff_0,axiom,
% 0.74/0.89 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.74/0.89 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.74/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_min__less__iff__disj_0,axiom,
% 0.74/0.89 ( ~ class_Orderings_Olinorder(T_a)
% 0.74/0.89 | c_HOL_Oord__class_Oless(V_y,V_z,T_a)
% 0.74/0.89 | c_HOL_Oord__class_Oless(V_x,V_z,T_a)
% 0.74/0.89 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_class__ringb_Onoteq__reduce_0,axiom,
% 0.74/0.89 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.74/0.89 | ~ class_Int_Onumber__ring(T_a)
% 0.74/0.89 | 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)
% 0.74/0.89 | V_c = V_d
% 0.74/0.89 | V_a = V_b ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_class__ringb_Oadd__mul__solve_0,axiom,
% 0.74/0.89 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.74/0.89 | ~ class_Int_Onumber__ring(T_a)
% 0.74/0.89 | 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)
% 0.74/0.89 | V_y = V_z
% 0.74/0.89 | V_w = V_x ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_abs__mult__self_0,axiom,
% 0.74/0.89 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.74/0.89 | 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) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_mod__mult__cong_0,axiom,
% 0.74/0.89 ( ~ class_Divides_Osemiring__div(T_a)
% 0.74/0.89 | c_Divides_Odiv__class_Omod(V_b,V_c,T_a) != c_Divides_Odiv__class_Omod(V_b_H,V_c,T_a)
% 0.74/0.89 | c_Divides_Odiv__class_Omod(V_a,V_c,T_a) != c_Divides_Odiv__class_Omod(V_a_H,V_c,T_a)
% 0.74/0.89 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(V_a_H,V_b_H,T_a),V_c,T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_dvd__0__right_0,axiom,
% 0.74/0.89 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.74/0.89 | c_Ring__and__Field_Odvd__class_Odvd(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_add__frac__eq_0,axiom,
% 0.74/0.89 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.74/0.89 | c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),c_HOL_Oinverse__class_Odivide(V_w,V_z,T_a),T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_z,T_a),c_HOL_Otimes__class_Otimes(V_w,V_y,T_a),T_a),c_HOL_Otimes__class_Otimes(V_y,V_z,T_a),T_a)
% 0.74/0.89 | V_z = c_HOL_Ozero__class_Ozero(T_a)
% 0.74/0.89 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_divide__eq__eq_0,axiom,
% 0.74/0.89 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.74/0.89 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.74/0.89 | V_b = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_c,T_a)
% 0.74/0.89 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_eq__divide__eq_0,axiom,
% 0.74/0.89 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.74/0.89 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.74/0.89 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_c,T_a) = V_b
% 0.74/0.89 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_class__semiring_Osemiring__rules_I9_J_0,axiom,
% 0.74/0.89 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.74/0.89 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_class__semiring_Osemiring__rules_I10_J_0,axiom,
% 0.74/0.89 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.74/0.89 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_mult__left_Ozero_0,axiom,
% 0.74/0.89 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 0.74/0.89 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_mult_Ozero__left_0,axiom,
% 0.74/0.89 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 0.74/0.89 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_mult_Ozero__right_0,axiom,
% 0.74/0.89 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 0.74/0.89 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_mult__right_Ozero_0,axiom,
% 0.74/0.89 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 0.74/0.89 | c_HOL_Otimes__class_Otimes(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_class__semiring_Omul__0_0,axiom,
% 0.74/0.89 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.74/0.89 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_mult__zero__left_0,axiom,
% 0.74/0.89 ( ~ class_Ring__and__Field_Omult__zero(T_a)
% 0.74/0.89 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_mult__zero__right_0,axiom,
% 0.74/0.89 ( ~ class_Ring__and__Field_Omult__zero(T_a)
% 0.74/0.89 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_mult__eq__0__iff_1,axiom,
% 0.74/0.89 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(T_a)
% 0.74/0.89 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.74/0.89
% 0.74/0.89 cnf(cls_mult__eq__0__iff_2,axiom,
% 0.74/0.89 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(T_a)
% 0.74/0.89 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.74/0.89
% 0.74/0.90 cnf(cls_minus__divide__divide_0,axiom,
% 0.74/0.90 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.74/0.90 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.74/0.90 | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) = c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a) ) ).
% 0.74/0.90
% 0.74/0.90 cnf(cls_divide_Ominus_0,axiom,
% 0.74/0.90 ( ~ class_RealVector_Oreal__normed__field(T_a)
% 0.74/0.90 | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(V_x,T_a),V_y,T_a) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),T_a) ) ).
% 0.74/0.90
% 0.74/0.90 cnf(cls_mult_Oprod__diff__prod_0,axiom,
% 0.74/0.90 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 0.74/0.90 | c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_x,V_a,T_a),c_HOL_Ominus__class_Ominus(V_y,V_b,T_a),T_a),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_x,V_a,T_a),V_b,T_a),T_a),c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ominus__class_Ominus(V_y,V_b,T_a),T_a),T_a) ) ).
% 0.74/0.90
% 0.74/0.90 cnf(cls_max__less__iff__conj_1,axiom,
% 0.74/0.90 ( ~ class_Orderings_Olinorder(T_a)
% 0.74/0.90 | c_HOL_Oord__class_Oless(V_y,V_z,T_a)
% 0.74/0.90 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a) ) ).
% 0.74/0.90
% 0.74/0.90 cnf(cls_max__less__iff__conj_0,axiom,
% 0.74/0.90 ( ~ class_Orderings_Olinorder(T_a)
% 0.74/0.90 | c_HOL_Oord__class_Oless(V_x,V_z,T_a)
% 0.74/0.90 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a) ) ).
% 0.74/0.90
% 0.74/0.90 cnf(cls_less__max__iff__disj_2,axiom,
% 0.74/0.90 ( ~ class_Orderings_Olinorder(T_a)
% 0.74/0.90 | c_HOL_Oord__class_Oless(V_z,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a)
% 0.74/0.90 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a) ) ).
% 0.74/0.90
% 0.74/0.90 cnf(cls_less__max__iff__disj_1,axiom,
% 0.74/0.90 ( ~ class_Orderings_Olinorder(T_a)
% 0.74/0.90 | c_HOL_Oord__class_Oless(V_z,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a)
% 0.74/0.90 | ~ c_HOL_Oord__class_Oless(V_z,V_x,T_a) ) ).
% 0.74/0.90
% 0.74/0.90 cnf(cls_min__max_Oless__supI2_0,axiom,
% 0.74/0.90 ( ~ class_Orderings_Olinorder(T_a)
% 0.74/0.90 | c_HOL_Oord__class_Oless(V_x,c_Orderings_Oord__class_Omax(V_a,V_b,T_a),T_a)
% 0.74/0.90 | ~ c_HOL_Oord__class_Oless(V_x,V_b,T_a) ) ).
% 0.74/0.90
% 0.74/0.90 cnf(cls_min__max_Oless__supI1_0,axiom,
% 0.74/0.90 ( ~ class_Orderings_Olinorder(T_a)
% 0.74/0.90 | c_HOL_Oord__class_Oless(V_x,c_Orderings_Oord__class_Omax(V_a,V_b,T_a),T_a)
% 0.74/0.90 | ~ c_HOL_Oord__class_Oless(V_x,V_a,T_a) ) ).
% 0.74/0.90
% 0.74/0.90 cnf(cls_min__max_Oinf__commute_0,axiom,
% 0.74/0.90 ( ~ class_Orderings_Olinorder(T_a)
% 0.74/0.90 | c_Orderings_Oord__class_Omin(V_x,V_y,T_a) = c_Orderings_Oord__class_Omin(V_y,V_x,T_a) ) ).
% 0.74/0.90
% 0.74/0.90 cnf(cls_scaleR_Ozero__right_0,axiom,
% 0.74/0.90 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 0.74/0.90 | c_RealVector_OscaleR__class_OscaleR(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.74/0.90
% 0.74/0.90 cnf(cls_scaleR__eq__0__iff_2,axiom,
% 0.74/0.90 ( ~ class_RealVector_Oreal__vector(T_a)
% 0.74/0.90 | c_RealVector_OscaleR__class_OscaleR(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.74/0.90
% 0.74/0.90 cnf(cls_combine__common__factor_0,axiom,
% 0.74/0.90 ( ~ class_Ring__and__Field_Osemiring(T_a)
% 0.74/0.90 | 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) ) ).
% 0.74/0.90
% 0.74/0.90 cnf(cls_eq__neg__iff__add__eq__0_0,axiom,
% 0.74/0.90 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.74/0.90 | 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) ) ).
% 0.74/0.90
% 0.74/0.90 cnf(cls_ab__left__minus_0,axiom,
% 0.74/0.90 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.74/0.90 | 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) ) ).
% 0.74/0.90
% 0.74/0.90 cnf(cls_right__minus_0,axiom,
% 0.74/0.90 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.74/0.90 | 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) ) ).
% 0.74/0.90
% 0.74/0.90 cnf(cls_left__minus_0,axiom,
% 0.74/0.90 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.74/0.90 | 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) ) ).
% 0.74/0.90
% 0.74/0.90 cnf(cls_add__neg__neg_0,axiom,
% 0.74/0.90 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.74/0.90 | 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)
% 0.74/0.90 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.74/0.90 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.74/0.90
% 0.74/0.90 cnf(cls_sum__squares__le__zero__iff_1,axiom,
% 0.74/0.90 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.74/0.90 | V_y = c_HOL_Ozero__class_Ozero(T_a)
% 0.74/0.90 | ~ 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) ) ).
% 0.74/0.90
% 0.74/0.90 cnf(cls_sum__squares__le__zero__iff_0,axiom,
% 0.74/0.90 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.74/0.90 | V_x = c_HOL_Ozero__class_Ozero(T_a)
% 0.74/0.90 | ~ 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) ) ).
% 0.74/0.90
% 0.74/0.90 cnf(cls_divide__zero__left_0,axiom,
% 0.74/0.90 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.74/0.90 | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.74/0.90
% 0.74/0.90 cnf(cls_divide__eq__eq_1,axiom,
% 0.74/0.90 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.74/0.90 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.74/0.90 | c_HOL_Oinverse__class_Odivide(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.74/0.90
% 0.74/0.90 cnf(cls_divide__zero_0,axiom,
% 0.74/0.90 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.74/0.90 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.74/0.90 | c_HOL_Oinverse__class_Odivide(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.74/0.90
% 0.74/0.90 cnf(cls_divide_Ozero_0,axiom,
% 0.74/0.90 ( ~ class_RealVector_Oreal__normed__field(T_a)
% 0.74/0.90 | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.74/0.90
% 0.74/0.90 cnf(cls_min__less__iff__disj_2,axiom,
% 0.74/0.90 ( ~ class_Orderings_Olinorder(T_a)
% 0.74/0.90 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a)
% 0.74/0.90 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a) ) ).
% 0.74/0.90
% 0.74/0.90 cnf(cls_min__less__iff__disj_1,axiom,
% 0.74/0.90 ( ~ class_Orderings_Olinorder(T_a)
% 0.74/0.90 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a)
% 0.74/0.90 | ~ c_HOL_Oord__class_Oless(V_x,V_z,T_a) ) ).
% 0.74/0.90
% 0.74/0.90 cnf(cls_min__less__iff__conj_1,axiom,
% 0.74/0.90 ( ~ class_Orderings_Olinorder(T_a)
% 0.74/0.90 | c_HOL_Oord__class_Oless(V_z,V_y,T_a)
% 0.74/0.90 | ~ c_HOL_Oord__class_Oless(V_z,c_Orderings_Oord__class_Omin(V_x,V_y,T_a),T_a) ) ).
% 0.74/0.90
% 0.74/0.90 cnf(cls_min__less__iff__conj_0,axiom,
% 0.74/0.90 ( ~ class_Orderings_Olinorder(T_a)
% 0.74/0.90 | c_HOL_Oord__class_Oless(V_z,V_x,T_a)
% 0.74/0.90 | ~ c_HOL_Oord__class_Oless(V_z,c_Orderings_Oord__class_Omin(V_x,V_y,T_a),T_a) ) ).
% 0.74/0.90
% 0.74/0.90 cnf(cls_min__max_Oless__infI2_0,axiom,
% 0.74/0.90 ( ~ class_Orderings_Olinorder(T_a)
% 0.74/0.90 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(V_a,V_b,T_a),V_x,T_a)
% 0.74/0.90 | ~ c_HOL_Oord__class_Oless(V_b,V_x,T_a) ) ).
% 0.74/0.90
% 0.74/0.90 cnf(cls_min__max_Oless__infI1_0,axiom,
% 0.74/0.90 ( ~ class_Orderings_Olinorder(T_a)
% 0.74/0.90 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(V_a,V_b,T_a),V_x,T_a)
% 0.74/0.90 | ~ c_HOL_Oord__class_Oless(V_a,V_x,T_a) ) ).
% 0.74/0.90
% 0.74/0.90 cnf(cls_abs__diff__less__iff_0,axiom,
% 0.74/0.90 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.74/0.90 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_a,V_r,T_a),V_x,T_a)
% 0.74/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(V_x,V_a,T_a),T_a),V_r,T_a) ) ).
% 0.74/0.90
% 0.74/0.90 cnf(cls_abs__divide_0,axiom,
% 0.74/0.90 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.74/0.90 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.74/0.90 | c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a) ) ).
% 0.74/0.90
% 0.74/0.90 cnf(cls_abs__of__pos_0,axiom,
% 0.74/0.90 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.74/0.90 | c_HOL_Oabs__class_Oabs(V_a,T_a) = V_a
% 0.74/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.74/0.90
% 0.74/0.90 cnf(cls_mod__mult__right__eq_0,axiom,
% 0.74/0.90 ( ~ class_Divides_Osemiring__div(T_a)
% 0.74/0.90 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(V_a,c_Divides_Odiv__class_Omod(V_b,V_c,T_a),T_a),V_c,T_a) ) ).
% 0.74/0.90
% 0.74/0.90 cnf(cls_mod__mult__left__eq_0,axiom,
% 0.74/0.90 ( ~ class_Divides_Osemiring__div(T_a)
% 0.74/0.90 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(V_a,V_c,T_a),V_b,T_a),V_c,T_a) ) ).
% 0.74/0.90
% 0.74/0.90 cnf(cls_sum__squares__gt__zero__iff_2,axiom,
% 0.74/0.90 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.74/0.90 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,T_a),c_HOL_Otimes__class_Otimes(V_y,V_y,T_a),T_a),T_a)
% 0.74/0.90 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.74/0.90
% 0.74/0.90 cnf(cls_sum__squares__gt__zero__iff_1,axiom,
% 0.74/0.90 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.74/0.90 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,T_a),c_HOL_Otimes__class_Otimes(V_y,V_y,T_a),T_a),T_a)
% 0.74/0.90 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.74/0.90
% 0.74/0.90 cnf(cls_scaleR__right_Oadd_0,axiom,
% 0.74/0.90 ( ~ class_RealVector_Oreal__vector(T_a)
% 0.74/0.90 | c_RealVector_OscaleR__class_OscaleR(V_a,c_HOL_Oplus__class_Oplus(V_x,V_y,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(V_a,V_x,T_a),c_RealVector_OscaleR__class_OscaleR(V_a,V_y,T_a),T_a) ) ).
% 0.74/0.90
% 0.74/0.90 cnf(cls_scaleR_Oadd__right_0,axiom,
% 0.74/0.90 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 0.74/0.90 | c_RealVector_OscaleR__class_OscaleR(V_a,c_HOL_Oplus__class_Oplus(V_b,V_b_H,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(V_a,V_b,T_a),c_RealVector_OscaleR__class_OscaleR(V_a,V_b_H,T_a),T_a) ) ).
% 0.74/0.90
% 0.74/0.90 cnf(cls_divide__less__0__iff_3,axiom,
% 0.74/0.90 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.74/0.90 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.74/0.90 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.74/0.90 | c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.74/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.74/0.90
% 0.74/0.90 cnf(cls_divide__less__0__iff_2,axiom,
% 0.74/0.90 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.74/0.90 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.74/0.90 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.74/0.90 | c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.74/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.74/0.90
% 0.74/0.90 cnf(cls_divide__less__0__iff_1,axiom,
% 0.74/0.90 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.74/0.90 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.74/0.90 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.74/0.90 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.74/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.74/0.90
% 0.74/0.90 cnf(cls_divide__less__0__iff_0,axiom,
% 0.74/0.90 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.74/0.90 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.74/0.90 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.74/0.90 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.74/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.74/0.90
% 0.74/0.90 cnf(cls_add__cancel__end_0,axiom,
% 0.74/0.90 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.74/0.90 | c_HOL_Oplus__class_Oplus(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a) != V_y
% 0.74/0.90 | V_x = c_HOL_Ouminus__class_Ouminus(V_z,T_a) ) ).
% 0.74/0.90
% 0.74/0.90 cnf(cls_mult__divide__mult__cancel__right_0,axiom,
% 0.74/0.90 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.74/0.90 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.74/0.90 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) = c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a)
% 0.74/0.90 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.74/0.90
% 0.74/0.90 cnf(cls_mult__divide__mult__cancel__left_0,axiom,
% 0.74/0.90 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.74/0.90 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.74/0.90 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) = c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a)
% 0.74/0.90 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.74/0.90
% 0.74/0.90 cnf(cls_mult__frac__num_0,axiom,
% 0.74/0.90 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.74/0.90 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.74/0.90 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),V_z,T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_x,V_z,T_a),V_y,T_a) ) ).
% 0.74/0.90
% 0.74/0.90 cnf(cls_abs__of__nonpos_0,axiom,
% 0.74/0.90 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.74/0.90 | c_HOL_Oabs__class_Oabs(V_a,T_a) = c_HOL_Ouminus__class_Ouminus(V_a,T_a)
% 0.74/0.90 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.74/0.90
% 0.74/0.90 cnf(cls_mult__strict__left__mono__comm_0,axiom,
% 0.74/0.90 ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(T_a)
% 0.74/0.90 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 0.74/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.74/0.90 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.74/0.90
% 0.74/0.90 cnf(cls_mult__less__cancel__right__disj_5,axiom,
% 0.74/0.90 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.74/0.90 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a)
% 0.74/0.90 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.74/0.90 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.74/0.90
% 0.74/0.90 cnf(cls_mult__less__cancel__right__disj_4,axiom,
% 0.74/0.90 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.74/0.90 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a)
% 0.74/0.90 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.74/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.74/0.90
% 0.74/0.90 cnf(cls_mult__strict__right__mono_0,axiom,
% 0.74/0.90 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.74/0.90 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a)
% 0.74/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.74/0.90 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.74/0.90
% 0.74/0.90 cnf(cls_mult__strict__right__mono__neg_0,axiom,
% 0.74/0.90 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.74/0.90 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a)
% 0.74/0.90 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.74/0.90 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ).
% 0.74/0.90
% 0.74/0.90 cnf(cls_mult__less__cancel__left__disj_5,axiom,
% 0.74/0.90 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.74/0.90 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 0.74/0.90 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.74/0.90 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.74/0.90
% 0.74/0.90 cnf(cls_mult__less__cancel__left__disj_4,axiom,
% 0.74/0.90 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.74/0.90 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 0.74/0.90 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.74/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.74/0.90
% 0.74/0.90 cnf(cls_mult__strict__left__mono_0,axiom,
% 0.74/0.90 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.74/0.90 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 0.74/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.74/0.90 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.74/0.90
% 0.74/0.90 cnf(cls_mult__strict__left__mono__neg_0,axiom,
% 0.74/0.90 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.74/0.90 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 0.74/0.90 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.74/0.90 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ).
% 0.74/0.90
% 0.74/0.90 cnf(cls_mult__less__cancel__left__pos_1,axiom,
% 0.74/0.90 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.74/0.90 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 0.74/0.90 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.74/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.74/0.90
% 0.74/0.90 cnf(cls_mult__less__cancel__left__pos_0,axiom,
% 0.74/0.90 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.74/0.90 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.74/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 0.74/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.74/0.90
% 0.74/0.90 cnf(cls_mult__less__cancel__left__neg_1,axiom,
% 0.74/0.90 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.74/0.90 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 0.74/0.90 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.74/0.90 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.74/0.90
% 0.74/0.90 cnf(cls_mult__less__cancel__left__neg_0,axiom,
% 0.74/0.90 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.74/0.90 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.74/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)
% 0.74/0.90 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.74/0.90
% 0.74/0.90 cnf(cls_min__max_Osup__left__commute_0,axiom,
% 0.74/0.90 ( ~ class_Orderings_Olinorder(T_a)
% 0.74/0.90 | c_Orderings_Oord__class_Omax(V_x,c_Orderings_Oord__class_Omax(V_y,V_z,T_a),T_a) = c_Orderings_Oord__class_Omax(V_y,c_Orderings_Oord__class_Omax(V_x,V_z,T_a),T_a) ) ).
% 0.74/0.90
% 0.74/0.90 cnf(cls_min__max_Osup__assoc_0,axiom,
% 0.74/0.90 ( ~ class_Orderings_Olinorder(T_a)
% 0.74/0.90 | c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a) = c_Orderings_Oord__class_Omax(V_x,c_Orderings_Oord__class_Omax(V_y,V_z,T_a),T_a) ) ).
% 0.74/0.90
% 0.74/0.90 cnf(cls_diff__minus__eq__add_0,axiom,
% 0.74/0.90 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.74/0.90 | c_HOL_Ominus__class_Ominus(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) = c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) ) ).
% 0.74/0.90
% 0.74/0.90 cnf(cls_mod__mult__self2_0,axiom,
% 0.74/0.90 ( ~ class_Divides_Osemiring__div(T_a)
% 0.74/0.90 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a,c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a),V_b,T_a) = c_Divides_Odiv__class_Omod(V_a,V_b,T_a) ) ).
% 0.74/0.90
% 0.74/0.90 cnf(cls_mod__mult__self1_0,axiom,
% 0.74/0.90 ( ~ class_Divides_Osemiring__div(T_a)
% 0.74/0.90 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a,c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a),V_b,T_a) = c_Divides_Odiv__class_Omod(V_a,V_b,T_a) ) ).
% 0.74/0.90
% 0.74/0.90 cnf(cls_dvd__mult__cancel__right_0,axiom,
% 0.74/0.90 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.74/0.90 | c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a)
% 0.74/0.90 | V_c = c_HOL_Ozero__class_Ozero(T_a)
% 0.74/0.90 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ).
% 0.74/0.90
% 0.74/0.90 cnf(cls_dvd__mult__cancel__left_0,axiom,
% 0.74/0.90 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.74/0.90 | c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a)
% 0.74/0.90 | V_c = c_HOL_Ozero__class_Ozero(T_a)
% 0.74/0.90 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) ) ).
% 0.74/0.90
% 0.74/0.90 cnf(cls_monoid__add__class_Oadd__0__right_0,axiom,
% 0.74/0.90 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 0.74/0.90 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ).
% 0.74/0.90
% 0.74/0.90 cnf(cls_add__0__left_0,axiom,
% 0.74/0.90 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 0.74/0.90 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = V_a ) ).
% 0.74/0.90
% 0.74/0.90 cnf(cls_comm__monoid__add_Omult__1__right_0,axiom,
% 0.74/0.90 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.74/0.90 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ).
% 0.74/0.90
% 0.74/0.90 cnf(cls_class__ringb_Oadd__r0__iff_1,axiom,
% 0.74/0.90 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.74/0.90 | ~ class_Int_Onumber__ring(T_a)
% 0.74/0.90 | V_x = c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.74/0.90
% 0.74/0.90 cnf(cls_class__semiring_Oadd__0_0,axiom,
% 0.74/0.90 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.74/0.90 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) = V_x ) ).
% 0.74/0.90
% 0.74/0.90 cnf(cls_comm__monoid__add_Omult__1_0,axiom,
% 0.74/0.90 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.74/0.90 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = V_a ) ).
% 0.74/0.90
% 0.74/0.90 cnf(cls_class__semiring_Osemiring__rules_I6_J_0,axiom,
% 0.74/0.90 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.74/0.90 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ).
% 0.74/0.90
% 0.74/0.90 cnf(cls_class__semiring_Osemiring__rules_I5_J_0,axiom,
% 0.74/0.90 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.74/0.90 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = V_a ) ).
% 0.74/0.90
% 0.74/0.90 cnf(cls_le__divide__eq_9,axiom,
% 0.74/0.90 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.74/0.90 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.74/0.90 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 0.74/0.90 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.74/0.90 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a)
% 0.74/0.90 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) ) ).
% 0.74/0.90
% 0.74/0.90 cnf(cls_le__divide__eq_3,axiom,
% 0.74/0.90 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.74/0.90 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.74/0.90 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 0.74/0.90 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.74/0.90 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.74/0.90 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.74/0.90
% 0.74/0.90 cnf(cls_le__divide__eq_2,axiom,
% 0.74/0.90 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.74/0.90 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.74/0.90 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.74/0.90 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.74/0.90 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.74/0.90 | ~ c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ).
% 0.74/0.90
% 0.74/0.90 cnf(cls_divide__le__eq_9,axiom,
% 0.74/0.90 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.74/0.90 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.74/0.90 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a)
% 0.74/0.90 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.74/0.90 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a)
% 0.74/0.90 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) ) ).
% 0.74/0.90
% 0.74/0.90 cnf(cls_divide__le__eq_3,axiom,
% 0.74/0.90 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.74/0.90 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.74/0.90 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a)
% 0.74/0.90 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.74/0.90 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.74/0.90 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.74/0.90
% 0.74/0.90 cnf(cls_divide__le__eq_2,axiom,
% 0.74/0.90 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.74/0.90 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.74/0.90 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.74/0.90 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.74/0.90 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.74/0.90 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) ) ).
% 0.74/0.90
% 0.74/0.90 cnf(cls_add__divide__distrib_0,axiom,
% 0.74/0.90 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.74/0.90 | c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(V_a,V_c,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ).
% 0.74/0.90
% 0.74/0.90 cnf(cls_divide_Oadd_0,axiom,
% 0.74/0.90 ( ~ class_RealVector_Oreal__normed__field(T_a)
% 0.74/0.90 | c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(V_x,V_y,T_a),V_ya,T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(V_x,V_ya,T_a),c_HOL_Oinverse__class_Odivide(V_y,V_ya,T_a),T_a) ) ).
% 0.74/0.90
% 0.74/0.90 cnf(cls_abs__diff__less__iff_2,axiom,
% 0.74/0.90 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.74/0.90 | c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(V_x,V_a,T_a),T_a),V_r,T_a)
% 0.74/0.90 | ~ c_HOL_Oord__class_Oless(V_x,c_HOL_Oplus__class_Oplus(V_a,V_r,T_a),T_a)
% 0.74/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_a,V_r,T_a),V_x,T_a) ) ).
% 0.74/0.90
% 0.74/0.90 cnf(cls_minus__equation__iff_1,axiom,
% 0.74/0.90 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.74/0.90 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) = V_b ) ).
% 0.74/0.90
% 0.74/0.90 cnf(cls_equation__minus__iff_1,axiom,
% 0.74/0.90 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.74/0.90 | V_a = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 0.74/0.90
% 0.74/0.90 cnf(cls_equation__minus__iff_0,axiom,
% 0.74/0.90 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.74/0.90 | V_b = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ).
% 0.74/0.90
% 0.74/0.90 cnf(cls_double__compl_0,axiom,
% 0.74/0.90 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 0.74/0.90 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_x,T_a),T_a) = V_x ) ).
% 0.74/0.90
% 0.74/0.90 cnf(cls_minus__minus_0,axiom,
% 0.74/0.90 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.74/0.90 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) = V_a ) ).
% 0.74/0.90
% 0.74/0.90 cnf(cls_add__less__le__mono_0,axiom,
% 0.74/0.90 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 0.74/0.90 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_d,T_a),T_a)
% 0.74/0.90 | ~ c_lessequals(V_c,V_d,T_a)
% 0.74/0.90 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.74/0.90
% 0.74/0.90 cnf(cls_add__le__less__mono_0,axiom,
% 0.74/0.90 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 0.74/0.90 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_d,T_a),T_a)
% 0.74/0.90 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a)
% 0.74/0.90 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.74/0.90
% 0.74/0.90 cnf(cls_minus__less__iff_1,axiom,
% 0.74/0.90 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.74/0.90 | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a)
% 0.74/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a) ) ).
% 0.74/0.90
% 0.74/0.90 cnf(cls_minus__less__iff_0,axiom,
% 0.74/0.90 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.74/0.90 | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a)
% 0.74/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) ) ).
% 0.74/0.90
% 0.74/0.90 cnf(cls_less__minus__iff_1,axiom,
% 0.74/0.90 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.74/0.90 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a)
% 0.74/0.90 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 0.74/0.90
% 0.74/0.90 cnf(cls_less__minus__iff_0,axiom,
% 0.74/0.90 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.74/0.90 | c_HOL_Oord__class_Oless(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
% 0.74/0.90 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ).
% 0.74/0.90
% 0.74/0.90 cnf(cls_minus__le__iff_1,axiom,
% 0.74/0.90 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.74/0.90 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a)
% 0.74/0.90 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a) ) ).
% 0.74/0.90
% 0.74/0.90 cnf(cls_minus__le__iff_0,axiom,
% 0.74/0.90 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.74/0.90 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a)
% 0.74/0.90 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) ) ).
% 0.74/0.90
% 0.74/0.90 cnf(cls_le__minus__iff_1,axiom,
% 0.74/0.90 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.74/0.90 | c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a)
% 0.74/0.90 | ~ c_lessequals(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 0.74/0.90
% 0.74/0.90 cnf(cls_le__minus__iff_0,axiom,
% 0.74/0.90 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.74/0.90 | c_lessequals(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
% 0.74/0.90 | ~ c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ).
% 0.74/0.90
% 0.74/0.90 cnf(cls_abs__mult__pos_0,axiom,
% 0.74/0.90 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.74/0.90 | 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)
% 0.74/0.90 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ).
% 0.74/0.90
% 0.74/0.90 cnf(cls_abs__dvd__iff_0,axiom,
% 0.74/0.90 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.74/0.90 | c_Ring__and__Field_Odvd__class_Odvd(V_m,V_k,T_a)
% 0.74/0.90 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oabs__class_Oabs(V_m,T_a),V_k,T_a) ) ).
% 0.74/0.90
% 0.74/0.90 cnf(cls_abs__dvd__iff_1,axiom,
% 0.74/0.90 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.74/0.90 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oabs__class_Oabs(V_m,T_a),V_k,T_a)
% 0.74/0.90 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_m,V_k,T_a) ) ).
% 0.74/0.90
% 0.74/0.90 cnf(cls_dvd__abs__iff_0,axiom,
% 0.74/0.90 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.74/0.90 | c_Ring__and__Field_Odvd__class_Odvd(V_m,V_k,T_a)
% 0.74/0.90 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_m,c_HOL_Oabs__class_Oabs(V_k,T_a),T_a) ) ).
% 0.74/0.90
% 0.74/0.90 cnf(cls_dvd__abs__iff_1,axiom,
% 0.74/0.90 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.74/0.90 | c_Ring__and__Field_Odvd__class_Odvd(V_m,c_HOL_Oabs__class_Oabs(V_k,T_a),T_a)
% 0.74/0.90 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_m,V_k,T_a) ) ).
% 0.74/0.90
% 0.74/0.90 cnf(cls_linorder__neq__iff_1,axiom,
% 0.74/0.90 ( ~ class_Orderings_Olinorder(T_a)
% 0.74/0.90 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 0.74/0.90
% 0.74/0.90 cnf(cls_order__less__le_1,axiom,
% 0.74/0.90 ( ~ class_Orderings_Oorder(T_a)
% 0.74/0.90 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 0.74/0.90
% 0.74/0.90 cnf(cls_order__less__irrefl_0,axiom,
% 0.74/0.90 ( ~ class_Orderings_Opreorder(T_a)
% 0.74/0.90 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 0.74/0.90
% 0.74/0.90 cnf(cls_less__le__not__le_2,axiom,
% 0.74/0.90 ( ~ class_Orderings_Opreorder(T_a)
% 0.74/0.90 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.74/0.90 | c_lessequals(V_y,V_x,T_a)
% 0.74/0.90 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.74/0.90
% 0.74/0.90 cnf(cls_add__pos__pos_0,axiom,
% 0.74/0.90 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.74/0.90 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a)
% 0.74/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.74/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.74/0.90
% 0.74/0.90 cnf(cls_le__iff__diff__le__0_0,axiom,
% 0.74/0.90 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.74/0.90 | c_lessequals(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.74/0.90 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.74/0.90
% 0.74/0.90 cnf(cls_le__iff__diff__le__0_1,axiom,
% 0.74/0.90 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.74/0.90 | c_lessequals(V_a,V_b,T_a)
% 0.74/0.90 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.74/0.90
% 0.74/0.90 cnf(cls_add__strict__mono_0,axiom,
% 0.74/0.90 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 0.74/0.90 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_d,T_a),T_a)
% 0.74/0.90 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a)
% 0.74/0.90 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.74/0.90
% 0.74/0.90 cnf(cls_order__le__less_1,axiom,
% 0.74/0.90 ( ~ class_Orderings_Oorder(T_a)
% 0.74/0.90 | c_lessequals(V_x,V_y,T_a)
% 0.74/0.90 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.74/0.90
% 0.74/0.90 cnf(cls_order__less__imp__le_0,axiom,
% 0.74/0.90 ( ~ class_Orderings_Opreorder(T_a)
% 0.74/0.90 | c_lessequals(V_x,V_y,T_a)
% 0.74/0.90 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.74/0.90
% 0.74/0.90 cnf(cls_add__cancel__end_1,axiom,
% 0.74/0.90 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.74/0.90 | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_z,T_a),c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a) = V_y ) ).
% 0.74/0.90
% 0.74/0.90 cnf(cls_minus__add__cancel_0,axiom,
% 0.74/0.90 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.74/0.90 | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a) = V_b ) ).
% 0.74/0.90
% 0.74/0.90 cnf(cls_zero__le__divide__iff_4,axiom,
% 0.74/0.90 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.74/0.90 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.74/0.90 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a)
% 0.74/0.90 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.74/0.90 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.74/0.90
% 0.74/0.90 cnf(cls_zero__le__divide__iff_5,axiom,
% 0.74/0.90 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.74/0.90 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.74/0.90 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a)
% 0.74/0.90 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.74/0.90 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.74/0.90
% 0.74/0.90 cnf(cls_frac__le_0,axiom,
% 0.74/0.90 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.74/0.90 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_x,V_z,T_a),c_HOL_Oinverse__class_Odivide(V_y,V_w,T_a),T_a)
% 0.74/0.90 | ~ c_lessequals(V_w,V_z,T_a)
% 0.74/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_w,T_a)
% 0.74/0.90 | ~ c_lessequals(V_x,V_y,T_a)
% 0.74/0.90 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ).
% 0.74/0.90
% 0.74/0.90 cnf(cls_less__iff__diff__less__0_0,axiom,
% 0.74/0.90 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.74/0.90 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.74/0.90 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.74/0.90
% 0.74/0.90 cnf(cls_less__iff__diff__less__0_1,axiom,
% 0.74/0.90 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.74/0.90 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.74/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.74/0.90
% 0.74/0.90 cnf(cls_abs__not__less__zero_0,axiom,
% 0.74/0.90 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.74/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.74/0.90
% 0.74/0.90 cnf(cls_divide__strict__left__mono_0,axiom,
% 0.74/0.90 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.74/0.90 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_c,V_a,T_a),c_HOL_Oinverse__class_Odivide(V_c,V_b,T_a),T_a)
% 0.74/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 0.74/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.74/0.90 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ).
% 0.74/0.90
% 0.74/0.90 cnf(cls_divide__strict__left__mono__neg_0,axiom,
% 0.74/0.90 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.74/0.90 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_c,V_a,T_a),c_HOL_Oinverse__class_Odivide(V_c,V_b,T_a),T_a)
% 0.74/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 0.74/0.90 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.74/0.90 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.74/0.90
% 0.74/0.90 cnf(cls_neg__0__equal__iff__equal_1,axiom,
% 0.74/0.90 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.74/0.90 | c_HOL_Ozero__class_Ozero(T_a) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.74/0.90
% 0.74/0.90 cnf(cls_mult__le__less__imp__less_0,axiom,
% 0.74/0.90 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.74/0.90 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_d,T_a),T_a)
% 0.74/0.90 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.74/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.74/0.90 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a)
% 0.74/0.90 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.74/0.90
% 0.74/0.90 cnf(cls_mult__less__le__imp__less_0,axiom,
% 0.74/0.90 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.74/0.90 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_d,T_a),T_a)
% 0.74/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.74/0.90 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.74/0.90 | ~ c_lessequals(V_c,V_d,T_a)
% 0.74/0.90 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.74/0.90
% 0.74/0.90 cnf(cls_complex__cnj__zero__iff_0,axiom,
% 0.74/0.90 ( c_Complex_Ocnj(V_z) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)
% 0.74/0.90 | V_z = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ).
% 0.74/0.90
% 0.74/0.90 cnf(cls_complex__cnj__cancel__iff_0,axiom,
% 0.74/0.90 ( c_Complex_Ocnj(V_x) != c_Complex_Ocnj(V_y)
% 0.74/0.90 | V_x = V_y ) ).
% 0.74/0.90
% 0.74/0.90 cnf(cls_minus__mult__commute_0,axiom,
% 0.74/0.90 ( ~ class_Ring__and__Field_Oring(T_a)
% 0.74/0.90 | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) = c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ).
% 0.74/0.90
% 0.74/0.90 cnf(cls_abs__triangle__ineq4_0,axiom,
% 0.74/0.90 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.74/0.90 | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),T_a),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a),T_a) ) ).
% 0.74/0.90
% 0.74/0.90 cnf(cls_minus__zero_0,axiom,
% 0.74/0.90 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.74/0.90 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.74/0.90
% 0.74/0.90 cnf(cls_neg__equal__zero_1,axiom,
% 0.74/0.90 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a)
% 0.74/0.90 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.74/0.90
% 0.74/0.90 cnf(cls_mod__mod__cancel_0,axiom,
% 0.74/0.90 ( ~ class_Divides_Osemiring__div(T_a)
% 0.74/0.90 | c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(V_a,V_c,T_a)
% 0.74/0.90 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_c,V_b,T_a) ) ).
% 0.74/0.90
% 0.74/0.90 cnf(cls_double__add__le__zero__iff__single__add__le__zero_0,axiom,
% 0.74/0.90 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.74/0.90 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.74/0.90 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.74/0.90
% 0.74/0.90 cnf(cls_double__add__le__zero__iff__single__add__le__zero_1,axiom,
% 0.74/0.90 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.74/0.90 | c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.74/0.90 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.74/0.90
% 0.74/0.90 cnf(cls_abs__if__lattice_1,axiom,
% 0.74/0.90 ( ~ class_Orderings_Olinorder(T_a)
% 0.74/0.90 | ~ class_OrderedGroup_Olordered__ab__group__add__abs(T_a)
% 0.74/0.90 | c_HOL_Oabs__class_Oabs(V_a,T_a) = V_a
% 0.74/0.90 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.74/0.90
% 0.74/0.90 cnf(cls_abs__if_1,axiom,
% 0.74/0.90 ( ~ class_Ring__and__Field_Oabs__if(T_a)
% 0.74/0.90 | c_HOL_Oabs__class_Oabs(V_a,T_a) = V_a
% 0.74/0.90 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.74/0.90
% 0.74/0.90 cnf(cls_mult__dvd__mono_0,axiom,
% 0.74/0.90 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.74/0.90 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_d,T_a),T_a)
% 0.74/0.90 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_c,V_d,T_a)
% 0.74/0.90 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ).
% 0.74/0.90
% 0.74/0.90 cnf(cls_abs__add__abs_0,axiom,
% 0.74/0.90 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.74/0.90 | c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a) ) ).
% 0.74/0.90
% 0.74/0.90 cnf(cls_divide__le__eq_1,axiom,
% 0.74/0.90 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.74/0.90 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.74/0.90 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a)
% 0.74/0.90 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.74/0.90 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.74/0.90 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) ) ).
% 0.74/0.90
% 0.74/0.90 cnf(cls_divide__le__eq_4,axiom,
% 0.74/0.90 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.74/0.90 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/0.90 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a)
% 0.92/0.90 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/0.90 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a)
% 0.92/0.90 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.92/0.90
% 0.92/0.90 cnf(cls_le__divide__eq_1,axiom,
% 0.92/0.90 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/0.90 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/0.90 | c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a)
% 0.92/0.90 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/0.90 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.92/0.90 | ~ c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ).
% 0.92/0.90
% 0.92/0.90 cnf(cls_le__divide__eq_4,axiom,
% 0.92/0.90 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/0.90 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/0.90 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a)
% 0.92/0.90 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/0.90 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a)
% 0.92/0.90 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.92/0.90
% 0.92/0.90 cnf(cls_abs__eq__0_0,axiom,
% 0.92/0.90 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.92/0.90 | c_HOL_Oabs__class_Oabs(V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.92/0.90 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.92/0.90
% 0.92/0.90 cnf(cls_zero__less__abs__iff_0,axiom,
% 0.92/0.90 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.92/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(T_a),T_a),T_a) ) ).
% 0.92/0.90
% 0.92/0.90 cnf(cls_divide__neg__pos_0,axiom,
% 0.92/0.90 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/0.90 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)
% 0.92/0.90 | ~ c_HOL_Oord__class_Oless(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.92/0.90
% 0.92/0.90 cnf(cls_divide__pos__neg_0,axiom,
% 0.92/0.90 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/0.90 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/0.90 | ~ c_HOL_Oord__class_Oless(V_y,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ).
% 0.92/0.90
% 0.92/0.90 cnf(cls_divide__less__0__iff_4,axiom,
% 0.92/0.90 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/0.90 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/0.90 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/0.90 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.92/0.90
% 0.92/0.90 cnf(cls_divide__less__0__iff_5,axiom,
% 0.92/0.90 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.92/0.90 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/0.90 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.92/0.90 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.92/0.90
% 0.92/0.90 cnf(cls_add__less__cancel__left_0,axiom,
% 0.92/0.90 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.92/0.90 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.92/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_c,V_a,T_a),c_HOL_Oplus__class_Oplus(V_c,V_b,T_a),T_a) ) ).
% 0.92/0.90
% 0.92/0.90 cnf(cls_add__less__cancel__left_1,axiom,
% 0.92/0.90 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.92/0.90 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_c,V_a,T_a),c_HOL_Oplus__class_Oplus(V_c,V_b,T_a),T_a)
% 0.92/0.90 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.92/0.90
% 0.92/0.90 cnf(cls_add__strict__left__mono_0,axiom,
% 0.92/0.90 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 0.92/0.90 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_c,V_a,T_a),c_HOL_Oplus__class_Oplus(V_c,V_b,T_a),T_a)
% 0.92/0.90 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.92/0.90
% 0.92/0.90 cnf(cls_add__less__cancel__right_0,axiom,
% 0.92/0.90 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.92/0.90 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.92/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) ) ).
% 0.92/0.90
% 0.92/0.90 cnf(cls_add__less__cancel__right_1,axiom,
% 0.92/0.90 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.92/0.90 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a)
% 0.92/0.90 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.92/0.90
% 0.92/0.90 cnf(cls_add__strict__right__mono_0,axiom,
% 0.92/0.90 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 0.92/0.90 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a)
% 0.92/0.90 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.92/0.90
% 0.92/0.90 cnf(cls_order__eq__refl_0,axiom,
% 0.92/0.90 ( ~ class_Orderings_Opreorder(T_a)
% 0.92/0.90 | c_lessequals(V_x,V_x,T_a) ) ).
% 0.92/0.90
% 0.92/0.90 cnf(cls_order__eq__iff_0,axiom,
% 0.92/0.90 ( ~ class_Orderings_Oorder(T_a)
% 0.92/0.90 | c_lessequals(V_x,V_x,T_a) ) ).
% 0.92/0.90
% 0.92/0.90 cnf(cls_real__le__trans_0,axiom,
% 0.92/0.90 ( c_lessequals(V_i,V_k,tc_RealDef_Oreal)
% 0.92/0.90 | ~ c_lessequals(V_j,V_k,tc_RealDef_Oreal)
% 0.92/0.90 | ~ c_lessequals(V_i,V_j,tc_RealDef_Oreal) ) ).
% 0.92/0.90
% 0.92/0.90 cnf(cls_real__le__refl_0,axiom,
% 0.92/0.90 c_lessequals(V_w,V_w,tc_RealDef_Oreal) ).
% 0.92/0.90
% 0.92/0.90 cnf(cls_order__le__less__trans_0,axiom,
% 0.92/0.90 ( ~ class_Orderings_Opreorder(T_a)
% 0.92/0.90 | c_HOL_Oord__class_Oless(V_x,V_z,T_a)
% 0.92/0.90 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a)
% 0.92/0.90 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.92/0.90
% 0.92/0.90 cnf(cls_order__less__le__trans_0,axiom,
% 0.92/0.90 ( ~ class_Orderings_Opreorder(T_a)
% 0.92/0.90 | c_HOL_Oord__class_Oless(V_x,V_z,T_a)
% 0.92/0.90 | ~ c_lessequals(V_y,V_z,T_a)
% 0.92/0.90 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.92/0.90
% 0.92/0.90 cnf(cls_le__add__right__mono_0,axiom,
% 0.92/0.90 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.92/0.90 | c_lessequals(V_a,c_HOL_Oplus__class_Oplus(V_b,V_d,T_a),T_a)
% 0.92/0.90 | ~ c_lessequals(V_c,V_d,T_a)
% 0.92/0.90 | ~ c_lessequals(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) ) ).
% 0.92/0.90
% 0.92/0.90 cnf(cls_order__trans_0,axiom,
% 0.92/0.90 ( ~ class_Orderings_Opreorder(T_a)
% 0.92/0.90 | c_lessequals(V_x,V_z,T_a)
% 0.92/0.90 | ~ c_lessequals(V_y,V_z,T_a)
% 0.92/0.90 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.92/0.90
% 0.92/0.90 cnf(cls_add__nonpos__nonpos_0,axiom,
% 0.92/0.90 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.92/0.90 | c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/0.90 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/0.90 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.92/0.90
% 0.92/0.90 cnf(cls_xt1_I8_J_0,axiom,
% 0.92/0.90 ( ~ class_Orderings_Oorder(T_a)
% 0.92/0.90 | c_HOL_Oord__class_Oless(V_z,V_x,T_a)
% 0.92/0.90 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a)
% 0.92/0.90 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.92/0.90
% 0.92/0.90 cnf(cls_xt1_I7_J_0,axiom,
% 0.92/0.90 ( ~ class_Orderings_Oorder(T_a)
% 0.92/0.90 | c_HOL_Oord__class_Oless(V_z,V_x,T_a)
% 0.92/0.90 | ~ c_lessequals(V_z,V_y,T_a)
% 0.92/0.90 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 0.92/0.90
% 0.92/0.90 cnf(cls_xt1_I6_J_0,axiom,
% 0.92/0.90 ( ~ class_Orderings_Oorder(T_a)
% 0.92/0.90 | c_lessequals(V_z,V_x,T_a)
% 0.92/0.90 | ~ c_lessequals(V_z,V_y,T_a)
% 0.92/0.90 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.92/0.90
% 0.92/0.90 cnf(cls_mod__mult__self1__is__0_0,axiom,
% 0.92/0.90 ( ~ class_Divides_Osemiring__div(T_a)
% 0.92/0.90 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(V_b,V_a,T_a),V_b,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.92/0.90
% 0.92/0.90 cnf(cls_mod__mult__self2__is__0_0,axiom,
% 0.92/0.90 ( ~ class_Divides_Osemiring__div(T_a)
% 0.92/0.90 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_b,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.92/0.90
% 0.92/0.90 cnf(cls_scaleR__cancel__right_1,axiom,
% 0.92/0.90 ( ~ class_RealVector_Oreal__vector(T_a)
% 0.92/0.90 | c_RealVector_OscaleR__class_OscaleR(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_RealVector_OscaleR__class_OscaleR(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.92/0.90
% 0.92/0.90 cnf(cls_scaleR__cancel__right_0,axiom,
% 0.92/0.90 ( ~ class_RealVector_Oreal__vector(T_a)
% 0.92/0.90 | c_RealVector_OscaleR__class_OscaleR(V_a,V_x,T_a) != c_RealVector_OscaleR__class_OscaleR(V_b,V_x,T_a)
% 0.92/0.90 | V_x = c_HOL_Ozero__class_Ozero(T_a)
% 0.92/0.90 | V_a = V_b ) ).
% 0.92/0.90
% 0.92/0.90 cnf(cls_sum__squares__eq__zero__iff_2,axiom,
% 0.92/0.90 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.92/0.90 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.92/0.90
% 0.92/0.90 cnf(cls_mult__less__cancel__left__disj_1,axiom,
% 0.92/0.90 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.92/0.90 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.92/0.90 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.92/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) ) ).
% 0.92/0.90
% 0.92/0.90 cnf(cls_mult__less__cancel__left__disj_2,axiom,
% 0.92/0.90 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.92/0.90 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/0.90 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.92/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) ) ).
% 0.92/0.90
% 0.92/0.90 cnf(cls_mult__less__cancel__right__disj_1,axiom,
% 0.92/0.90 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.92/0.90 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.92/0.90 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.92/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ).
% 0.92/0.90
% 0.92/0.90 cnf(cls_mult__less__cancel__right__disj_2,axiom,
% 0.92/0.90 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.92/0.90 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/0.90 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.92/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ).
% 0.92/0.90
% 0.92/0.90 cnf(cls_abs__diff__less__iff_1,axiom,
% 0.92/0.90 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.92/0.90 | c_HOL_Oord__class_Oless(V_x,c_HOL_Oplus__class_Oplus(V_a,V_r,T_a),T_a)
% 0.92/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(V_x,V_a,T_a),T_a),V_r,T_a) ) ).
% 0.92/0.90
% 0.92/0.90 cnf(cls_eq__divide__eq_2,axiom,
% 0.92/0.90 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.92/0.90 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/0.90 | c_HOL_Ozero__class_Ozero(T_a) = c_HOL_Oinverse__class_Odivide(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.92/0.90
% 0.92/0.90 cnf(cls_min__max_Odistrib__sup__le_0,axiom,
% 0.92/0.90 ( ~ class_Orderings_Olinorder(T_a)
% 0.92/0.90 | c_lessequals(c_Orderings_Oord__class_Omax(V_x,c_Orderings_Oord__class_Omin(V_y,V_z,T_a),T_a),c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),c_Orderings_Oord__class_Omax(V_x,V_z,T_a),T_a),T_a) ) ).
% 0.92/0.90
% 0.92/0.90 cnf(cls_neg__0__less__iff__less_0,axiom,
% 0.92/0.90 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.92/0.90 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 0.92/0.90
% 0.92/0.90 cnf(cls_neg__0__less__iff__less_1,axiom,
% 0.92/0.90 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.92/0.90 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
% 0.92/0.90 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.92/0.90
% 0.92/0.90 cnf(cls_frac__eq__eq_0,axiom,
% 0.92/0.90 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.92/0.90 | c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a) != c_HOL_Oinverse__class_Odivide(V_w,V_z,T_a)
% 0.92/0.90 | V_z = c_HOL_Ozero__class_Ozero(T_a)
% 0.92/0.90 | V_y = c_HOL_Ozero__class_Ozero(T_a)
% 0.92/0.90 | c_HOL_Otimes__class_Otimes(V_x,V_z,T_a) = c_HOL_Otimes__class_Otimes(V_w,V_y,T_a) ) ).
% 0.92/0.90
% 0.92/0.90 cnf(cls_frac__eq__eq_1,axiom,
% 0.92/0.90 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.92/0.90 | c_HOL_Otimes__class_Otimes(V_x,V_z,T_a) != c_HOL_Otimes__class_Otimes(V_w,V_y,T_a)
% 0.92/0.90 | V_z = c_HOL_Ozero__class_Ozero(T_a)
% 0.92/0.90 | V_y = c_HOL_Ozero__class_Ozero(T_a)
% 0.92/0.90 | c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a) = c_HOL_Oinverse__class_Odivide(V_w,V_z,T_a) ) ).
% 0.92/0.90
% 0.92/0.90 cnf(cls_mod__mult__mult1_0,axiom,
% 0.92/0.90 ( ~ class_Divides_Osemiring__div(T_a)
% 0.92/0.90 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) = c_HOL_Otimes__class_Otimes(V_c,c_Divides_Odiv__class_Omod(V_a,V_b,T_a),T_a) ) ).
% 0.92/0.90
% 0.92/0.90 cnf(cls_mod__mult__mult2_0,axiom,
% 0.92/0.90 ( ~ class_Divides_Osemiring__div(T_a)
% 0.92/0.90 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(V_a,V_b,T_a),V_c,T_a) ) ).
% 0.92/0.90
% 0.92/0.90 cnf(cls_less__minus__self__iff_0,axiom,
% 0.92/0.90 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.92/0.90 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.92/0.90 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 0.92/0.90
% 0.92/0.90 cnf(cls_less__minus__self__iff_1,axiom,
% 0.92/0.90 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.92/0.90 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
% 0.92/0.90 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.92/0.90
% 0.92/0.90 cnf(cls_abs__ge__zero_0,axiom,
% 0.92/0.90 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.92/0.90 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oabs__class_Oabs(V_a,T_a),T_a) ) ).
% 0.92/0.90
% 0.92/0.90 cnf(cls_divide__eq__eq_4,axiom,
% 0.92/0.90 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.92/0.90 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.92/0.90 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a),V_c,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.92/0.90
% 0.92/0.90 cnf(cls_dvd__if__abs__eq_0,axiom,
% 0.92/0.90 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.92/0.90 | c_HOL_Oabs__class_Oabs(V_l,T_a) != c_HOL_Oabs__class_Oabs(V_k,T_a)
% 0.92/0.90 | c_Ring__and__Field_Odvd__class_Odvd(V_l,V_k,T_a) ) ).
% 0.92/0.90
% 0.92/0.90 cnf(cls_minus__add_0,axiom,
% 0.92/0.90 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.92/0.90 | c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 0.92/0.90
% 0.92/0.90 cnf(cls_minus__add__distrib_0,axiom,
% 0.92/0.90 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.92/0.90 | c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ).
% 0.92/0.90
% 0.92/0.90 cnf(cls_order__less__asym_H_0,axiom,
% 0.92/0.90 ( ~ class_Orderings_Opreorder(T_a)
% 0.92/0.90 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.92/0.90 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.92/0.90
% 0.92/0.90 cnf(cls_order__less__asym_0,axiom,
% 0.92/0.90 ( ~ class_Orderings_Opreorder(T_a)
% 0.92/0.90 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.92/0.90 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.92/0.90
% 0.92/0.90 cnf(cls_linorder__linear_0,axiom,
% 0.92/0.90 ( ~ class_Orderings_Olinorder(T_a)
% 0.92/0.90 | c_lessequals(V_y,V_x,T_a)
% 0.92/0.90 | c_lessequals(V_x,V_y,T_a) ) ).
% 0.92/0.90
% 0.92/0.90 cnf(cls_real__le__linear_0,axiom,
% 0.92/0.90 ( c_lessequals(V_w,V_z,tc_RealDef_Oreal)
% 0.92/0.90 | c_lessequals(V_z,V_w,tc_RealDef_Oreal) ) ).
% 0.92/0.90
% 0.92/0.90 cnf(cls_not__less__iff__gr__or__eq_1,axiom,
% 0.92/0.90 ( ~ class_Orderings_Olinorder(T_a)
% 0.92/0.90 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.92/0.90 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 0.92/0.90
% 0.92/0.90 cnf(cls_xt1_I9_J_0,axiom,
% 0.92/0.90 ( ~ class_Orderings_Oorder(T_a)
% 0.92/0.90 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.92/0.90 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ).
% 0.92/0.90
% 0.92/0.90 cnf(cls_th_0,axiom,
% 0.92/0.90 c_Polynomial_Opoly(v_q____,c_HOL_Ominus__class_Ominus(V_x,v_c____,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_Polynomial_Opoly(v_pa____,V_x,tc_Complex_Ocomplex) ).
% 0.92/0.90
% 0.92/0.90 cnf(cls_Lim_Ominus__diff__minus_0,axiom,
% 0.92/0.90 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.92/0.90 | c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),T_a) ) ).
% 0.92/0.90
% 0.92/0.90 cnf(cls_mod__diff__cong_0,axiom,
% 0.92/0.90 ( ~ class_Divides_Oring__div(T_a)
% 0.92/0.90 | c_Divides_Odiv__class_Omod(V_b,V_c,T_a) != c_Divides_Odiv__class_Omod(V_b_H,V_c,T_a)
% 0.92/0.90 | c_Divides_Odiv__class_Omod(V_a,V_c,T_a) != c_Divides_Odiv__class_Omod(V_a_H,V_c,T_a)
% 0.92/0.90 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(V_a_H,V_b_H,T_a),V_c,T_a) ) ).
% 0.92/0.90
% 0.92/0.90 cnf(cls_min__diff__distrib__left_0,axiom,
% 0.92/0.90 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.92/0.90 | c_HOL_Ominus__class_Ominus(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a) = c_Orderings_Oord__class_Omin(c_HOL_Ominus__class_Ominus(V_x,V_z,T_a),c_HOL_Ominus__class_Ominus(V_y,V_z,T_a),T_a) ) ).
% 0.92/0.90
% 0.92/0.90 cnf(cls_poly__pcompose_0,axiom,
% 0.92/0.90 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a)
% 0.92/0.90 | c_Polynomial_Opoly(c_Polynomial_Opcompose(V_p,V_q,T_a),V_x,T_a) = c_Polynomial_Opoly(V_p,c_Polynomial_Opoly(V_q,V_x,T_a),T_a) ) ).
% 0.92/0.90
% 0.92/0.90 cnf(cls_mod__diff__right__eq_0,axiom,
% 0.92/0.90 ( ~ class_Divides_Oring__div(T_a)
% 0.92/0.90 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(V_a,c_Divides_Odiv__class_Omod(V_b,V_c,T_a),T_a),V_c,T_a) ) ).
% 0.92/0.90
% 0.92/0.90 cnf(cls_mod__diff__left__eq_0,axiom,
% 0.92/0.90 ( ~ class_Divides_Oring__div(T_a)
% 0.92/0.90 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(V_a,V_c,T_a),V_b,T_a),V_c,T_a) ) ).
% 0.92/0.90
% 0.92/0.90 cnf(cls_max__diff__distrib__left_0,axiom,
% 0.92/0.90 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.92/0.90 | c_HOL_Ominus__class_Ominus(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a) = c_Orderings_Oord__class_Omax(c_HOL_Ominus__class_Ominus(V_x,V_z,T_a),c_HOL_Ominus__class_Ominus(V_y,V_z,T_a),T_a) ) ).
% 0.92/0.90
% 0.92/0.90 cnf(cls_mod__diff__eq_0,axiom,
% 0.92/0.90 ( ~ class_Divides_Oring__div(T_a)
% 0.92/0.90 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(V_a,V_c,T_a),c_Divides_Odiv__class_Omod(V_b,V_c,T_a),T_a),V_c,T_a) ) ).
% 0.92/0.90
% 0.92/0.90 cnf(cls_q_I1_J_0,axiom,
% 0.92/0.90 c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(v_q____,tc_Complex_Ocomplex) = c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(v_pa____,tc_Complex_Ocomplex) ).
% 0.92/0.90
% 0.92/0.90 cnf(cls_abs__minus__commute_0,axiom,
% 0.92/0.90 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.92/0.90 | c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),T_a) = c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(V_b,V_a,T_a),T_a) ) ).
% 0.92/0.90
% 0.92/0.90 cnf(cls_le__eqI_0,axiom,
% 0.92/0.90 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.92/0.90 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 0.92/0.90 | c_lessequals(V_y_H,V_x_H,T_a)
% 0.92/0.90 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.92/0.90
% 0.92/0.90 cnf(cls_le__eqI_1,axiom,
% 0.92/0.90 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.92/0.90 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 0.92/0.90 | c_lessequals(V_y,V_x,T_a)
% 0.92/0.90 | ~ c_lessequals(V_y_H,V_x_H,T_a) ) ).
% 0.92/0.90
% 0.92/0.90 cnf(cls_less__eqI_0,axiom,
% 0.92/0.90 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.92/0.90 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 0.92/0.90 | c_HOL_Oord__class_Oless(V_x_H,V_y_H,T_a)
% 0.92/0.90 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.92/0.90
% 0.92/0.90 cnf(cls_less__eqI_1,axiom,
% 0.92/0.90 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.92/0.90 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 0.92/0.90 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.92/0.90 | ~ c_HOL_Oord__class_Oless(V_x_H,V_y_H,T_a) ) ).
% 0.92/0.90
% 0.92/0.90 cnf(cls_calculation_0,axiom,
% 0.92/0.90 ( c_Polynomial_Opoly(v_pa____,v_c____,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)
% 0.92/0.90 | c_Polynomial_Opoly(v_pa____,v_sko__unknown__thm__rrB__1(v_pa____),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ).
% 0.92/0.90
% 0.92/0.90 cnf(cls_cnj_Odiff_0,axiom,
% 0.92/0.90 c_Complex_Ocnj(c_HOL_Ominus__class_Ominus(V_x,V_y,tc_Complex_Ocomplex)) = c_HOL_Ominus__class_Ominus(c_Complex_Ocnj(V_x),c_Complex_Ocnj(V_y),tc_Complex_Ocomplex) ).
% 0.92/0.90
% 0.92/0.90 cnf(cls_scaleR__right_Odiff_0,axiom,
% 0.92/0.90 ( ~ class_RealVector_Oreal__vector(T_a)
% 0.92/0.90 | c_RealVector_OscaleR__class_OscaleR(V_a,c_HOL_Ominus__class_Ominus(V_x,V_y,T_a),T_a) = c_HOL_Ominus__class_Ominus(c_RealVector_OscaleR__class_OscaleR(V_a,V_x,T_a),c_RealVector_OscaleR__class_OscaleR(V_a,V_y,T_a),T_a) ) ).
% 0.92/0.90
% 0.92/0.90 cnf(cls_scaleR_Odiff__right_0,axiom,
% 0.92/0.90 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 0.92/0.90 | c_RealVector_OscaleR__class_OscaleR(V_a,c_HOL_Ominus__class_Ominus(V_b,V_b_H,T_a),T_a) = c_HOL_Ominus__class_Ominus(c_RealVector_OscaleR__class_OscaleR(V_a,V_b,T_a),c_RealVector_OscaleR__class_OscaleR(V_a,V_b_H,T_a),T_a) ) ).
% 0.92/0.90
% 0.92/0.90 cnf(cls_c_0,axiom,
% 0.92/0.90 c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_pa____,v_c____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_pa____,V_w,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal) ).
% 0.92/0.90
% 0.92/0.90 cnf(cls_diff__divide__distrib_0,axiom,
% 0.92/0.90 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.92/0.90 | c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_c,T_a) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(V_a,V_c,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ).
% 0.92/0.91
% 0.92/0.91 cnf(cls_divide_Odiff_0,axiom,
% 0.92/0.91 ( ~ class_RealVector_Oreal__normed__field(T_a)
% 0.92/0.91 | c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(V_x,V_y,T_a),V_ya,T_a) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(V_x,V_ya,T_a),c_HOL_Oinverse__class_Odivide(V_y,V_ya,T_a),T_a) ) ).
% 0.92/0.91
% 0.92/0.91 cnf(cls_q_I2_J_0,axiom,
% 0.92/0.91 c_Polynomial_Opoly(v_q____,V_x,tc_Complex_Ocomplex) = c_Polynomial_Opoly(v_pa____,c_HOL_Oplus__class_Oplus(v_c____,V_x,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ).
% 0.92/0.91
% 0.92/0.91 cnf(cls_dvd__diff_0,axiom,
% 0.92/0.91 ( ~ class_Ring__and__Field_Ocomm__ring__1(T_a)
% 0.92/0.91 | c_Ring__and__Field_Odvd__class_Odvd(V_x,c_HOL_Ominus__class_Ominus(V_y,V_z,T_a),T_a)
% 0.92/0.91 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,V_z,T_a)
% 0.92/0.91 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,T_a) ) ).
% 0.92/0.91
% 0.92/0.91 cnf(cls_eq__iff__diff__eq__0_0,axiom,
% 0.92/0.91 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.92/0.91 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.92/0.91
% 0.92/0.91 cnf(cls_right__minus__eq_1,axiom,
% 0.92/0.91 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.92/0.91 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.92/0.91
% 0.92/0.91 cnf(cls_diff__0__right_0,axiom,
% 0.92/0.91 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.92/0.91 | c_HOL_Ominus__class_Ominus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ).
% 0.92/0.91
% 0.92/0.91 cnf(cls_diff__self_0,axiom,
% 0.92/0.91 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.92/0.91 | c_HOL_Ominus__class_Ominus(V_a,V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.92/0.91
% 0.92/0.91 cnf(cls_class__ringb_Osubr0__iff_1,axiom,
% 0.92/0.91 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.92/0.91 | ~ class_Int_Onumber__ring(T_a)
% 0.92/0.91 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.92/0.91
% 0.92/0.91 cnf(cls_diff__add__cancel_0,axiom,
% 0.92/0.91 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.92/0.91 | c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_b,T_a) = V_a ) ).
% 0.92/0.91
% 0.92/0.91 cnf(cls_eq__eqI_0,axiom,
% 0.92/0.91 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.92/0.91 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 0.92/0.91 | V_x_H = V_y_H ) ).
% 0.92/0.91
% 0.92/0.91 cnf(cls_eq__eqI_1,axiom,
% 0.92/0.91 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.92/0.91 | c_HOL_Ominus__class_Ominus(V_xa,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x,V_x,T_a)
% 0.92/0.91 | V_xa = V_y ) ).
% 0.92/0.91
% 0.92/0.91 cnf(cls_eq__iff__diff__eq__0_1,axiom,
% 0.92/0.91 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.92/0.91 | c_HOL_Ominus__class_Ominus(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.92/0.91 | V_a = V_b ) ).
% 0.92/0.91
% 0.92/0.91 cnf(cls_right__minus__eq_0,axiom,
% 0.92/0.91 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.92/0.91 | c_HOL_Ominus__class_Ominus(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.92/0.91 | V_a = V_b ) ).
% 0.92/0.91
% 0.92/0.91 cnf(cls_class__ringb_Osubr0__iff_0,axiom,
% 0.92/0.91 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.92/0.91 | ~ class_Int_Onumber__ring(T_a)
% 0.92/0.91 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.92/0.91 | V_x = V_y ) ).
% 0.92/0.91
% 0.92/0.91 cnf(cls_mult__right_Odiff_0,axiom,
% 0.92/0.91 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 0.92/0.91 | c_HOL_Otimes__class_Otimes(V_xa,c_HOL_Ominus__class_Ominus(V_x,V_y,T_a),T_a) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(V_xa,V_x,T_a),c_HOL_Otimes__class_Otimes(V_xa,V_y,T_a),T_a) ) ).
% 0.92/0.91
% 0.92/0.91 cnf(cls_mult_Odiff__right_0,axiom,
% 0.92/0.91 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 0.92/0.91 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ominus__class_Ominus(V_b,V_b_H,T_a),T_a) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Otimes__class_Otimes(V_a,V_b_H,T_a),T_a) ) ).
% 0.92/0.91
% 0.92/0.91 cnf(cls_mult_Odiff__left_0,axiom,
% 0.92/0.91 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 0.92/0.91 | c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_a,V_a_H,T_a),V_b,T_a) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Otimes__class_Otimes(V_a_H,V_b,T_a),T_a) ) ).
% 0.92/0.91
% 0.92/0.91 cnf(cls_mult__left_Odiff_0,axiom,
% 0.92/0.91 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 0.92/0.91 | c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_x,V_y,T_a),V_ya,T_a) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(V_x,V_ya,T_a),c_HOL_Otimes__class_Otimes(V_y,V_ya,T_a),T_a) ) ).
% 0.92/0.91
% 0.92/0.91 cnf(cls_Deriv_Oadd__diff__add_0,axiom,
% 0.92/0.91 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.92/0.91 | c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_d,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ominus__class_Ominus(V_c,V_d,T_a),T_a) ) ).
% 0.92/0.91
% 0.92/0.91 cnf(cls_poly__diff_0,axiom,
% 0.92/0.91 ( ~ class_Ring__and__Field_Ocomm__ring(T_a)
% 0.92/0.91 | c_Polynomial_Opoly(c_HOL_Ominus__class_Ominus(V_p,V_q,tc_Polynomial_Opoly(T_a)),V_x,T_a) = c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(V_p,V_x,T_a),c_Polynomial_Opoly(V_q,V_x,T_a),T_a) ) ).
% 0.92/0.91
% 0.92/0.91 cnf(cls_norm__minus__commute_0,axiom,
% 0.92/0.91 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 0.92/0.91 | c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),T_a) = c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(V_b,V_a,T_a),T_a) ) ).
% 0.92/0.91
% 0.92/0.91 cnf(cls_pc0_0,axiom,
% 0.92/0.91 c_Polynomial_Opoly(v_pa____,v_c____,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ).
% 0.92/0.91
% 0.92/0.91 cnf(cls_add__diff__cancel_0,axiom,
% 0.92/0.91 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.92/0.91 | c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_b,T_a) = V_a ) ).
% 0.92/0.91
% 0.92/0.91 cnf(cls_minus__diff__eq_0,axiom,
% 0.92/0.91 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.92/0.91 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),T_a) = c_HOL_Ominus__class_Ominus(V_b,V_a,T_a) ) ).
% 0.92/0.91
% 0.92/0.91 cnf(cls_CHAINED_0,axiom,
% 0.92/0.91 c_Polynomial_Opoly(v_q____,c_HOL_Ominus__class_Ominus(V_x,v_c____,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_Polynomial_Opoly(v_pa____,V_x,tc_Complex_Ocomplex) ).
% 0.92/0.91
% 0.92/0.91 cnf(cls_conjecture_0,negated_conjecture,
% 0.92/0.91 c_Polynomial_Opoly(v_pa____,v_x____,tc_Complex_Ocomplex) != c_Polynomial_Opoly(v_q____,c_HOL_Ominus__class_Ominus(v_x____,v_c____,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Ocancel__comm__monoid__add,axiom,
% 0.92/0.91 ( class_OrderedGroup_Ocancel__comm__monoid__add(tc_Polynomial_Opoly(T_1))
% 0.92/0.91 | ~ class_OrderedGroup_Ocancel__comm__monoid__add(T_1) ) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ocancel__comm__monoid__add,axiom,
% 0.92/0.91 class_OrderedGroup_Ocancel__comm__monoid__add(tc_Complex_Ocomplex) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_RealDef__Oreal__OrderedGroup_Ocancel__comm__monoid__add,axiom,
% 0.92/0.91 class_OrderedGroup_Ocancel__comm__monoid__add(tc_RealDef_Oreal) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_nat__OrderedGroup_Ocancel__comm__monoid__add,axiom,
% 0.92/0.91 class_OrderedGroup_Ocancel__comm__monoid__add(tc_nat) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_nat__OrderedGroup_Opordered__cancel__ab__semigroup__add,axiom,
% 0.92/0.91 class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add__imp__le,axiom,
% 0.92/0.91 class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_nat__Ring__and__Field_Oordered__comm__semiring__strict,axiom,
% 0.92/0.91 class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_nat__Ring__and__Field_Opordered__cancel__semiring,axiom,
% 0.92/0.91 class_Ring__and__Field_Opordered__cancel__semiring(tc_nat) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_nat__Ring__and__Field_Oordered__semiring__strict,axiom,
% 0.92/0.91 class_Ring__and__Field_Oordered__semiring__strict(tc_nat) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add,axiom,
% 0.92/0.91 class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_nat__OrderedGroup_Opordered__comm__monoid__add,axiom,
% 0.92/0.91 class_OrderedGroup_Opordered__comm__monoid__add(tc_nat) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_nat__OrderedGroup_Ocancel__ab__semigroup__add,axiom,
% 0.92/0.91 class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_nat__OrderedGroup_Ocancel__semigroup__add,axiom,
% 0.92/0.91 class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_nat__Ring__and__Field_Opordered__semiring,axiom,
% 0.92/0.91 class_Ring__and__Field_Opordered__semiring(tc_nat) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_nat__Ring__and__Field_Oordered__semiring,axiom,
% 0.92/0.91 class_Ring__and__Field_Oordered__semiring(tc_nat) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_nat__Ring__and__Field_Ono__zero__divisors,axiom,
% 0.92/0.91 class_Ring__and__Field_Ono__zero__divisors(tc_nat) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_nat__Ring__and__Field_Oordered__semidom,axiom,
% 0.92/0.91 class_Ring__and__Field_Oordered__semidom(tc_nat) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_nat__Ring__and__Field_Ocomm__semiring__1,axiom,
% 0.92/0.91 class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_nat__Ring__and__Field_Ocomm__semiring__0,axiom,
% 0.92/0.91 class_Ring__and__Field_Ocomm__semiring__0(tc_nat) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_nat__OrderedGroup_Oab__semigroup__mult,axiom,
% 0.92/0.91 class_OrderedGroup_Oab__semigroup__mult(tc_nat) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_nat__OrderedGroup_Oab__semigroup__add,axiom,
% 0.92/0.91 class_OrderedGroup_Oab__semigroup__add(tc_nat) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_nat__Ring__and__Field_Ocomm__semiring,axiom,
% 0.92/0.91 class_Ring__and__Field_Ocomm__semiring(tc_nat) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_nat__OrderedGroup_Ocomm__monoid__add,axiom,
% 0.92/0.91 class_OrderedGroup_Ocomm__monoid__add(tc_nat) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_nat__Ring__and__Field_Omult__mono1,axiom,
% 0.92/0.91 class_Ring__and__Field_Omult__mono1(tc_nat) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_nat__Ring__and__Field_Omult__zero,axiom,
% 0.92/0.91 class_Ring__and__Field_Omult__zero(tc_nat) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_nat__Ring__and__Field_Omult__mono,axiom,
% 0.92/0.91 class_Ring__and__Field_Omult__mono(tc_nat) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_nat__Ring__and__Field_Osemiring,axiom,
% 0.92/0.91 class_Ring__and__Field_Osemiring(tc_nat) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_nat__OrderedGroup_Omonoid__add,axiom,
% 0.92/0.91 class_OrderedGroup_Omonoid__add(tc_nat) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_nat__Divides_Osemiring__div,axiom,
% 0.92/0.91 class_Divides_Osemiring__div(tc_nat) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_nat__Ring__and__Field_Odvd,axiom,
% 0.92/0.91 class_Ring__and__Field_Odvd(tc_nat) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_nat__Orderings_Opreorder,axiom,
% 0.92/0.91 class_Orderings_Opreorder(tc_nat) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_nat__Orderings_Olinorder,axiom,
% 0.92/0.91 class_Orderings_Olinorder(tc_nat) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_nat__Orderings_Oorder,axiom,
% 0.92/0.91 class_Orderings_Oorder(tc_nat) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__cancel__ab__semigroup__add,axiom,
% 0.92/0.91 class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_RealDef_Oreal) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__semigroup__add__imp__le,axiom,
% 0.92/0.91 class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__comm__semiring__strict,axiom,
% 0.92/0.91 class_Ring__and__Field_Oordered__comm__semiring__strict(tc_RealDef_Oreal) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Opordered__cancel__semiring,axiom,
% 0.92/0.91 class_Ring__and__Field_Opordered__cancel__semiring(tc_RealDef_Oreal) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__semiring__strict,axiom,
% 0.92/0.91 class_Ring__and__Field_Oordered__semiring__strict(tc_RealDef_Oreal) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__semigroup__add,axiom,
% 0.92/0.91 class_OrderedGroup_Opordered__ab__semigroup__add(tc_RealDef_Oreal) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__group__add__abs,axiom,
% 0.92/0.91 class_OrderedGroup_Opordered__ab__group__add__abs(tc_RealDef_Oreal) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_RealDef__Oreal__OrderedGroup_Olordered__ab__group__add__abs,axiom,
% 0.92/0.91 class_OrderedGroup_Olordered__ab__group__add__abs(tc_RealDef_Oreal) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__comm__monoid__add,axiom,
% 0.92/0.91 class_OrderedGroup_Opordered__comm__monoid__add(tc_RealDef_Oreal) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oring__no__zero__divisors,axiom,
% 0.92/0.91 class_Ring__and__Field_Oring__no__zero__divisors(tc_RealDef_Oreal) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_RealDef__Oreal__OrderedGroup_Ocancel__ab__semigroup__add,axiom,
% 0.92/0.91 class_OrderedGroup_Ocancel__ab__semigroup__add(tc_RealDef_Oreal) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__ring__strict,axiom,
% 0.92/0.91 class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__group__add,axiom,
% 0.92/0.91 class_OrderedGroup_Opordered__ab__group__add(tc_RealDef_Oreal) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_RealDef__Oreal__OrderedGroup_Olordered__ab__group__add,axiom,
% 0.92/0.91 class_OrderedGroup_Olordered__ab__group__add(tc_RealDef_Oreal) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_RealDef__Oreal__OrderedGroup_Oordered__ab__group__add,axiom,
% 0.92/0.91 class_OrderedGroup_Oordered__ab__group__add(tc_RealDef_Oreal) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_RealDef__Oreal__OrderedGroup_Ocancel__semigroup__add,axiom,
% 0.92/0.91 class_OrderedGroup_Ocancel__semigroup__add(tc_RealDef_Oreal) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Opordered__semiring,axiom,
% 0.92/0.91 class_Ring__and__Field_Opordered__semiring(tc_RealDef_Oreal) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Opordered__ring__abs,axiom,
% 0.92/0.91 class_Ring__and__Field_Opordered__ring__abs(tc_RealDef_Oreal) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__semiring,axiom,
% 0.92/0.91 class_Ring__and__Field_Oordered__semiring(tc_RealDef_Oreal) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ono__zero__divisors,axiom,
% 0.92/0.91 class_Ring__and__Field_Ono__zero__divisors(tc_RealDef_Oreal) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Odivision__by__zero,axiom,
% 0.92/0.91 class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__semidom,axiom,
% 0.92/0.91 class_Ring__and__Field_Oordered__semidom(tc_RealDef_Oreal) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring__1,axiom,
% 0.92/0.91 class_Ring__and__Field_Ocomm__semiring__1(tc_RealDef_Oreal) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring__0,axiom,
% 0.92/0.91 class_Ring__and__Field_Ocomm__semiring__0(tc_RealDef_Oreal) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_RealDef__Oreal__RealVector_Oreal__normed__algebra,axiom,
% 0.92/0.91 class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_RealDef__Oreal__OrderedGroup_Oab__semigroup__mult,axiom,
% 0.92/0.91 class_OrderedGroup_Oab__semigroup__mult(tc_RealDef_Oreal) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_RealDef__Oreal__RealVector_Oreal__normed__vector,axiom,
% 0.92/0.91 class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_RealDef__Oreal__OrderedGroup_Oab__semigroup__add,axiom,
% 0.92/0.91 class_OrderedGroup_Oab__semigroup__add(tc_RealDef_Oreal) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Opordered__ring,axiom,
% 0.92/0.91 class_Ring__and__Field_Opordered__ring(tc_RealDef_Oreal) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__field,axiom,
% 0.92/0.91 class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Olordered__ring,axiom,
% 0.92/0.91 class_Ring__and__Field_Olordered__ring(tc_RealDef_Oreal) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring,axiom,
% 0.92/0.91 class_Ring__and__Field_Ocomm__semiring(tc_RealDef_Oreal) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_RealDef__Oreal__RealVector_Oreal__normed__field,axiom,
% 0.92/0.91 class_RealVector_Oreal__normed__field(tc_RealDef_Oreal) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_RealDef__Oreal__OrderedGroup_Ocomm__monoid__add,axiom,
% 0.92/0.91 class_OrderedGroup_Ocomm__monoid__add(tc_RealDef_Oreal) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__idom,axiom,
% 0.92/0.91 class_Ring__and__Field_Oordered__idom(tc_RealDef_Oreal) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__ring__1,axiom,
% 0.92/0.91 class_Ring__and__Field_Ocomm__ring__1(tc_RealDef_Oreal) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Omult__mono1,axiom,
% 0.92/0.91 class_Ring__and__Field_Omult__mono1(tc_RealDef_Oreal) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_RealDef__Oreal__OrderedGroup_Oab__group__add,axiom,
% 0.92/0.91 class_OrderedGroup_Oab__group__add(tc_RealDef_Oreal) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Omult__zero,axiom,
% 0.92/0.91 class_Ring__and__Field_Omult__zero(tc_RealDef_Oreal) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Omult__mono,axiom,
% 0.92/0.91 class_Ring__and__Field_Omult__mono(tc_RealDef_Oreal) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__ring,axiom,
% 0.92/0.91 class_Ring__and__Field_Ocomm__ring(tc_RealDef_Oreal) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Osemiring,axiom,
% 0.92/0.91 class_Ring__and__Field_Osemiring(tc_RealDef_Oreal) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_RealDef__Oreal__RealVector_Oreal__algebra,axiom,
% 0.92/0.91 class_RealVector_Oreal__algebra(tc_RealDef_Oreal) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_RealDef__Oreal__OrderedGroup_Omonoid__add,axiom,
% 0.92/0.91 class_OrderedGroup_Omonoid__add(tc_RealDef_Oreal) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_RealDef__Oreal__RealVector_Oreal__vector,axiom,
% 0.92/0.91 class_RealVector_Oreal__vector(tc_RealDef_Oreal) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_RealDef__Oreal__OrderedGroup_Ogroup__add,axiom,
% 0.92/0.91 class_OrderedGroup_Ogroup__add(tc_RealDef_Oreal) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oabs__if,axiom,
% 0.92/0.91 class_Ring__and__Field_Oabs__if(tc_RealDef_Oreal) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_RealDef__Oreal__RealVector_Oreal__field,axiom,
% 0.92/0.91 class_RealVector_Oreal__field(tc_RealDef_Oreal) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ofield,axiom,
% 0.92/0.91 class_Ring__and__Field_Ofield(tc_RealDef_Oreal) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oring,axiom,
% 0.92/0.91 class_Ring__and__Field_Oring(tc_RealDef_Oreal) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oidom,axiom,
% 0.92/0.91 class_Ring__and__Field_Oidom(tc_RealDef_Oreal) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Odvd,axiom,
% 0.92/0.91 class_Ring__and__Field_Odvd(tc_RealDef_Oreal) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_RealDef__Oreal__Orderings_Opreorder,axiom,
% 0.92/0.91 class_Orderings_Opreorder(tc_RealDef_Oreal) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_RealDef__Oreal__Orderings_Olinorder,axiom,
% 0.92/0.91 class_Orderings_Olinorder(tc_RealDef_Oreal) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_RealDef__Oreal__Orderings_Oorder,axiom,
% 0.92/0.91 class_Orderings_Oorder(tc_RealDef_Oreal) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_RealDef__Oreal__Int_Onumber__ring,axiom,
% 0.92/0.91 class_Int_Onumber__ring(tc_RealDef_Oreal) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Oring__no__zero__divisors,axiom,
% 0.92/0.91 class_Ring__and__Field_Oring__no__zero__divisors(tc_Complex_Ocomplex) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ocancel__ab__semigroup__add,axiom,
% 0.92/0.91 class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Complex_Ocomplex) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ocancel__semigroup__add,axiom,
% 0.92/0.91 class_OrderedGroup_Ocancel__semigroup__add(tc_Complex_Ocomplex) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ono__zero__divisors,axiom,
% 0.92/0.91 class_Ring__and__Field_Ono__zero__divisors(tc_Complex_Ocomplex) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Odivision__by__zero,axiom,
% 0.92/0.91 class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__1,axiom,
% 0.92/0.91 class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__0,axiom,
% 0.92/0.91 class_Ring__and__Field_Ocomm__semiring__0(tc_Complex_Ocomplex) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__algebra,axiom,
% 0.92/0.91 class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Oab__semigroup__mult,axiom,
% 0.92/0.91 class_OrderedGroup_Oab__semigroup__mult(tc_Complex_Ocomplex) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__vector,axiom,
% 0.92/0.91 class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Oab__semigroup__add,axiom,
% 0.92/0.91 class_OrderedGroup_Oab__semigroup__add(tc_Complex_Ocomplex) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring,axiom,
% 0.92/0.91 class_Ring__and__Field_Ocomm__semiring(tc_Complex_Ocomplex) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__field,axiom,
% 0.92/0.91 class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ocomm__monoid__add,axiom,
% 0.92/0.91 class_OrderedGroup_Ocomm__monoid__add(tc_Complex_Ocomplex) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__ring__1,axiom,
% 0.92/0.91 class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Oab__group__add,axiom,
% 0.92/0.91 class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Omult__zero,axiom,
% 0.92/0.91 class_Ring__and__Field_Omult__zero(tc_Complex_Ocomplex) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__ring,axiom,
% 0.92/0.91 class_Ring__and__Field_Ocomm__ring(tc_Complex_Ocomplex) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Osemiring,axiom,
% 0.92/0.91 class_Ring__and__Field_Osemiring(tc_Complex_Ocomplex) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__algebra,axiom,
% 0.92/0.91 class_RealVector_Oreal__algebra(tc_Complex_Ocomplex) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__add,axiom,
% 0.92/0.91 class_OrderedGroup_Omonoid__add(tc_Complex_Ocomplex) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__vector,axiom,
% 0.92/0.91 class_RealVector_Oreal__vector(tc_Complex_Ocomplex) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ogroup__add,axiom,
% 0.92/0.91 class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__field,axiom,
% 0.92/0.91 class_RealVector_Oreal__field(tc_Complex_Ocomplex) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ofield,axiom,
% 0.92/0.91 class_Ring__and__Field_Ofield(tc_Complex_Ocomplex) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Oring,axiom,
% 0.92/0.91 class_Ring__and__Field_Oring(tc_Complex_Ocomplex) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Oidom,axiom,
% 0.92/0.91 class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Odvd,axiom,
% 0.92/0.91 class_Ring__and__Field_Odvd(tc_Complex_Ocomplex) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_Complex__Ocomplex__Int_Onumber__ring,axiom,
% 0.92/0.91 class_Int_Onumber__ring(tc_Complex_Ocomplex) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Opordered__cancel__ab__semigroup__add,axiom,
% 0.92/0.91 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_Polynomial_Opoly(T_1))
% 0.92/0.91 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Opordered__ab__semigroup__add__imp__le,axiom,
% 0.92/0.91 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_Polynomial_Opoly(T_1))
% 0.92/0.91 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oordered__comm__semiring__strict,axiom,
% 0.92/0.91 ( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_Polynomial_Opoly(T_1))
% 0.92/0.91 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Opordered__cancel__semiring,axiom,
% 0.92/0.91 ( class_Ring__and__Field_Opordered__cancel__semiring(tc_Polynomial_Opoly(T_1))
% 0.92/0.91 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oordered__semiring__strict,axiom,
% 0.92/0.91 ( class_Ring__and__Field_Oordered__semiring__strict(tc_Polynomial_Opoly(T_1))
% 0.92/0.91 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Opordered__ab__semigroup__add,axiom,
% 0.92/0.91 ( class_OrderedGroup_Opordered__ab__semigroup__add(tc_Polynomial_Opoly(T_1))
% 0.92/0.91 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Opordered__ab__group__add__abs,axiom,
% 0.92/0.91 ( class_OrderedGroup_Opordered__ab__group__add__abs(tc_Polynomial_Opoly(T_1))
% 0.92/0.91 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Opordered__comm__monoid__add,axiom,
% 0.92/0.91 ( class_OrderedGroup_Opordered__comm__monoid__add(tc_Polynomial_Opoly(T_1))
% 0.92/0.91 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oring__no__zero__divisors,axiom,
% 0.92/0.91 ( class_Ring__and__Field_Oring__no__zero__divisors(tc_Polynomial_Opoly(T_1))
% 0.92/0.91 | ~ class_Ring__and__Field_Oidom(T_1) ) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Ocancel__ab__semigroup__add,axiom,
% 0.92/0.91 ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Polynomial_Opoly(T_1))
% 0.92/0.91 | ~ class_OrderedGroup_Ocancel__comm__monoid__add(T_1) ) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oordered__ring__strict,axiom,
% 0.92/0.91 ( class_Ring__and__Field_Oordered__ring__strict(tc_Polynomial_Opoly(T_1))
% 0.92/0.91 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Opordered__ab__group__add,axiom,
% 0.92/0.91 ( class_OrderedGroup_Opordered__ab__group__add(tc_Polynomial_Opoly(T_1))
% 0.92/0.91 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Oordered__ab__group__add,axiom,
% 0.92/0.91 ( class_OrderedGroup_Oordered__ab__group__add(tc_Polynomial_Opoly(T_1))
% 0.92/0.91 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Ocancel__semigroup__add,axiom,
% 0.92/0.91 ( class_OrderedGroup_Ocancel__semigroup__add(tc_Polynomial_Opoly(T_1))
% 0.92/0.91 | ~ class_OrderedGroup_Ocancel__comm__monoid__add(T_1) ) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Opordered__semiring,axiom,
% 0.92/0.91 ( class_Ring__and__Field_Opordered__semiring(tc_Polynomial_Opoly(T_1))
% 0.92/0.91 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Opordered__ring__abs,axiom,
% 0.92/0.91 ( class_Ring__and__Field_Opordered__ring__abs(tc_Polynomial_Opoly(T_1))
% 0.92/0.91 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oordered__semiring,axiom,
% 0.92/0.91 ( class_Ring__and__Field_Oordered__semiring(tc_Polynomial_Opoly(T_1))
% 0.92/0.91 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Ono__zero__divisors,axiom,
% 0.92/0.91 ( class_Ring__and__Field_Ono__zero__divisors(tc_Polynomial_Opoly(T_1))
% 0.92/0.91 | ~ class_Ring__and__Field_Oidom(T_1) ) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oordered__semidom,axiom,
% 0.92/0.91 ( class_Ring__and__Field_Oordered__semidom(tc_Polynomial_Opoly(T_1))
% 0.92/0.91 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Ocomm__semiring__1,axiom,
% 0.92/0.91 ( class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(T_1))
% 0.92/0.91 | ~ class_Ring__and__Field_Ocomm__semiring__1(T_1) ) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Ocomm__semiring__0,axiom,
% 0.92/0.91 ( class_Ring__and__Field_Ocomm__semiring__0(tc_Polynomial_Opoly(T_1))
% 0.92/0.91 | ~ class_Ring__and__Field_Ocomm__semiring__0(T_1) ) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Oab__semigroup__mult,axiom,
% 0.92/0.91 ( class_OrderedGroup_Oab__semigroup__mult(tc_Polynomial_Opoly(T_1))
% 0.92/0.91 | ~ class_Ring__and__Field_Ocomm__semiring__0(T_1) ) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Oab__semigroup__add,axiom,
% 0.92/0.91 ( class_OrderedGroup_Oab__semigroup__add(tc_Polynomial_Opoly(T_1))
% 0.92/0.91 | ~ class_OrderedGroup_Ocomm__monoid__add(T_1) ) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Opordered__ring,axiom,
% 0.92/0.91 ( class_Ring__and__Field_Opordered__ring(tc_Polynomial_Opoly(T_1))
% 0.92/0.91 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Ocomm__semiring,axiom,
% 0.92/0.91 ( class_Ring__and__Field_Ocomm__semiring(tc_Polynomial_Opoly(T_1))
% 0.92/0.91 | ~ class_Ring__and__Field_Ocomm__semiring__0(T_1) ) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Ocomm__monoid__add,axiom,
% 0.92/0.91 ( class_OrderedGroup_Ocomm__monoid__add(tc_Polynomial_Opoly(T_1))
% 0.92/0.91 | ~ class_OrderedGroup_Ocomm__monoid__add(T_1) ) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oordered__idom,axiom,
% 0.92/0.91 ( class_Ring__and__Field_Oordered__idom(tc_Polynomial_Opoly(T_1))
% 0.92/0.91 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Ocomm__ring__1,axiom,
% 0.92/0.91 ( class_Ring__and__Field_Ocomm__ring__1(tc_Polynomial_Opoly(T_1))
% 0.92/0.91 | ~ class_Ring__and__Field_Ocomm__ring__1(T_1) ) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Omult__mono1,axiom,
% 0.92/0.91 ( class_Ring__and__Field_Omult__mono1(tc_Polynomial_Opoly(T_1))
% 0.92/0.91 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Oab__group__add,axiom,
% 0.92/0.91 ( class_OrderedGroup_Oab__group__add(tc_Polynomial_Opoly(T_1))
% 0.92/0.91 | ~ class_OrderedGroup_Oab__group__add(T_1) ) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Omult__zero,axiom,
% 0.92/0.91 ( class_Ring__and__Field_Omult__zero(tc_Polynomial_Opoly(T_1))
% 0.92/0.91 | ~ class_Ring__and__Field_Ocomm__semiring__0(T_1) ) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Omult__mono,axiom,
% 0.92/0.91 ( class_Ring__and__Field_Omult__mono(tc_Polynomial_Opoly(T_1))
% 0.92/0.91 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Ocomm__ring,axiom,
% 0.92/0.91 ( class_Ring__and__Field_Ocomm__ring(tc_Polynomial_Opoly(T_1))
% 0.92/0.91 | ~ class_Ring__and__Field_Ocomm__ring(T_1) ) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Osemiring,axiom,
% 0.92/0.91 ( class_Ring__and__Field_Osemiring(tc_Polynomial_Opoly(T_1))
% 0.92/0.91 | ~ class_Ring__and__Field_Ocomm__semiring__0(T_1) ) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Omonoid__add,axiom,
% 0.92/0.91 ( class_OrderedGroup_Omonoid__add(tc_Polynomial_Opoly(T_1))
% 0.92/0.91 | ~ class_OrderedGroup_Ocomm__monoid__add(T_1) ) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Ogroup__add,axiom,
% 0.92/0.91 ( class_OrderedGroup_Ogroup__add(tc_Polynomial_Opoly(T_1))
% 0.92/0.91 | ~ class_OrderedGroup_Oab__group__add(T_1) ) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oabs__if,axiom,
% 0.92/0.91 ( class_Ring__and__Field_Oabs__if(tc_Polynomial_Opoly(T_1))
% 0.92/0.91 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_Polynomial__Opoly__Divides_Osemiring__div,axiom,
% 0.92/0.91 ( class_Divides_Osemiring__div(tc_Polynomial_Opoly(T_1))
% 0.92/0.91 | ~ class_Ring__and__Field_Ofield(T_1) ) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oring,axiom,
% 0.92/0.91 ( class_Ring__and__Field_Oring(tc_Polynomial_Opoly(T_1))
% 0.92/0.91 | ~ class_Ring__and__Field_Ocomm__ring(T_1) ) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oidom,axiom,
% 0.92/0.91 ( class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(T_1))
% 0.92/0.91 | ~ class_Ring__and__Field_Oidom(T_1) ) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Odvd,axiom,
% 0.92/0.91 ( class_Ring__and__Field_Odvd(tc_Polynomial_Opoly(T_1))
% 0.92/0.91 | ~ class_Ring__and__Field_Ocomm__semiring__1(T_1) ) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_Polynomial__Opoly__Orderings_Opreorder,axiom,
% 0.92/0.91 ( class_Orderings_Opreorder(tc_Polynomial_Opoly(T_1))
% 0.92/0.91 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_Polynomial__Opoly__Orderings_Olinorder,axiom,
% 0.92/0.91 ( class_Orderings_Olinorder(tc_Polynomial_Opoly(T_1))
% 0.92/0.91 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_Polynomial__Opoly__Divides_Oring__div,axiom,
% 0.92/0.91 ( class_Divides_Oring__div(tc_Polynomial_Opoly(T_1))
% 0.92/0.91 | ~ class_Ring__and__Field_Ofield(T_1) ) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_Polynomial__Opoly__Orderings_Oorder,axiom,
% 0.92/0.91 ( class_Orderings_Oorder(tc_Polynomial_Opoly(T_1))
% 0.92/0.91 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 0.92/0.91
% 0.92/0.91 cnf(clsarity_Polynomial__Opoly__Int_Onumber__ring,axiom,
% 0.92/0.91 ( class_Int_Onumber__ring(tc_Polynomial_Opoly(T_1))
% 0.92/0.91 | ~ class_Ring__and__Field_Ocomm__ring__1(T_1) ) ).
% 0.92/0.91
% 0.92/0.91 %------------------------------------------------------------------------------
% 0.92/0.91 %-------------------------------------------
% 0.92/0.91 % Proof found
% 0.92/0.91 % SZS status Theorem for theBenchmark
% 0.92/0.91 % SZS output start Proof
% 0.92/0.91 %ClaNum:988(EqnAxiom:115)
% 0.92/0.91 %VarNum:6761(SingletonVarNum:2056)
% 0.92/0.91 %MaxLitNum:6
% 0.92/0.91 %MaxfuncDepth:4
% 0.92/0.91 %SharedTerms:139
% 0.92/0.91 %goalClause: 245
% 0.92/0.91 %singleGoalClaCount:1
% 0.92/0.91 [116]P1(a1)
% 0.92/0.91 [117]P1(a20)
% 0.92/0.91 [118]P48(a1)
% 0.92/0.91 [119]P2(a2)
% 0.92/0.91 [120]P2(a1)
% 0.92/0.91 [121]P3(a2)
% 0.92/0.91 [122]P3(a1)
% 0.92/0.91 [123]P49(a1)
% 0.92/0.91 [124]P50(a1)
% 0.92/0.91 [125]P9(a2)
% 0.92/0.91 [126]P9(a1)
% 0.92/0.91 [127]P56(a1)
% 0.92/0.91 [128]P56(a20)
% 0.92/0.91 [129]P4(a20)
% 0.92/0.91 [130]P45(a2)
% 0.92/0.91 [131]P45(a1)
% 0.92/0.91 [132]P45(a20)
% 0.92/0.91 [133]P10(a2)
% 0.92/0.91 [134]P10(a1)
% 0.92/0.91 [135]P11(a1)
% 0.92/0.91 [136]P11(a20)
% 0.92/0.91 [137]P32(a1)
% 0.92/0.91 [138]P32(a20)
% 0.92/0.91 [139]P59(a1)
% 0.92/0.91 [140]P59(a20)
% 0.92/0.91 [141]P12(a1)
% 0.92/0.91 [142]P13(a2)
% 0.92/0.91 [143]P13(a1)
% 0.92/0.91 [144]P13(a20)
% 0.92/0.91 [145]P41(a2)
% 0.92/0.91 [146]P41(a1)
% 0.92/0.91 [147]P41(a20)
% 0.92/0.91 [148]P33(a2)
% 0.92/0.91 [149]P33(a1)
% 0.92/0.91 [150]P42(a2)
% 0.92/0.91 [151]P42(a1)
% 0.92/0.91 [152]P42(a20)
% 0.92/0.91 [153]P18(a1)
% 0.92/0.91 [154]P46(a2)
% 0.92/0.91 [155]P46(a1)
% 0.92/0.91 [156]P51(a1)
% 0.92/0.91 [157]P51(a20)
% 0.92/0.91 [158]P57(a1)
% 0.92/0.91 [159]P57(a20)
% 0.92/0.91 [160]P19(a2)
% 0.92/0.91 [161]P19(a1)
% 0.92/0.91 [162]P55(a1)
% 0.92/0.91 [163]P24(a1)
% 0.92/0.91 [164]P60(a2)
% 0.92/0.91 [165]P60(a1)
% 0.92/0.91 [166]P61(a1)
% 0.92/0.91 [167]P28(a1)
% 0.92/0.91 [168]P28(a20)
% 0.92/0.91 [169]P29(a1)
% 0.92/0.91 [170]P29(a20)
% 0.92/0.91 [171]P25(a1)
% 0.92/0.91 [172]P30(a1)
% 0.92/0.91 [173]P30(a20)
% 0.92/0.91 [174]P63(a2)
% 0.92/0.91 [175]P63(a1)
% 0.92/0.91 [176]P52(a2)
% 0.92/0.91 [177]P52(a1)
% 0.92/0.91 [178]P52(a20)
% 0.92/0.91 [179]P37(a1)
% 0.92/0.91 [180]P58(a1)
% 0.92/0.91 [181]P58(a20)
% 0.92/0.91 [182]P26(a1)
% 0.92/0.91 [183]P62(a1)
% 0.92/0.91 [184]P62(a20)
% 0.92/0.91 [185]P14(a2)
% 0.92/0.91 [186]P14(a1)
% 0.92/0.91 [187]P43(a2)
% 0.92/0.91 [188]P43(a1)
% 0.92/0.91 [189]P20(a2)
% 0.92/0.91 [190]P20(a1)
% 0.92/0.91 [191]P20(a20)
% 0.92/0.91 [192]P21(a2)
% 0.92/0.91 [193]P21(a1)
% 0.92/0.91 [194]P21(a20)
% 0.92/0.91 [195]P34(a2)
% 0.92/0.91 [196]P34(a1)
% 0.92/0.91 [197]P23(a2)
% 0.92/0.91 [198]P23(a1)
% 0.92/0.91 [199]P23(a20)
% 0.92/0.91 [200]P38(a2)
% 0.92/0.91 [201]P38(a1)
% 0.92/0.91 [202]P39(a2)
% 0.92/0.91 [203]P39(a1)
% 0.92/0.91 [204]P47(a1)
% 0.92/0.91 [205]P35(a1)
% 0.92/0.91 [206]P35(a20)
% 0.92/0.91 [207]P16(a2)
% 0.92/0.91 [208]P16(a1)
% 0.92/0.91 [209]P16(a20)
% 0.92/0.91 [210]P40(a2)
% 0.92/0.91 [211]P40(a1)
% 0.92/0.91 [212]P36(a2)
% 0.92/0.91 [213]P36(a1)
% 0.92/0.91 [214]P53(a2)
% 0.92/0.91 [215]P53(a1)
% 0.92/0.91 [216]P53(a20)
% 0.92/0.91 [217]P64(a2)
% 0.92/0.91 [218]P64(a1)
% 0.92/0.91 [219]P64(a20)
% 0.92/0.91 [220]P54(a1)
% 0.92/0.91 [221]P54(a20)
% 0.92/0.91 [222]P27(a2)
% 0.92/0.91 [223]P27(a1)
% 0.92/0.91 [224]P27(a20)
% 0.92/0.91 [225]P31(a1)
% 0.92/0.91 [226]P31(a20)
% 0.92/0.91 [227]P44(a2)
% 0.92/0.91 [228]P44(a1)
% 0.92/0.91 [229]P44(a20)
% 0.92/0.91 [230]P22(a2)
% 0.92/0.91 [231]P22(a1)
% 0.92/0.91 [232]P22(a20)
% 0.92/0.91 [235]E(f5(a21,a2),f5(a22,a2))
% 0.92/0.91 [244]~E(f14(a22,a23,a2),f3(a2))
% 0.92/0.91 [233]E(f4(f3(a2)),f3(a2))
% 0.92/0.91 [245]~E(f14(a21,f8(a24,a23,a2),a2),f14(a22,a24,a2))
% 0.92/0.91 [237]P5(x2371,x2371,a1)
% 0.92/0.91 [234]E(f4(f4(x2341)),x2341)
% 0.92/0.91 [236]E(f13(f4(x2361),a2),f13(x2361,a2))
% 0.92/0.91 [240]E(f14(a22,f7(a23,x2401,a2),a2),f14(a21,x2401,a2))
% 0.92/0.91 [242]E(f14(a21,f8(x2421,a23,a2),a2),f14(a22,x2421,a2))
% 0.92/0.91 [243]P5(f13(f14(a22,a23,a2),a2),f13(f14(a22,x2431,a2),a2),a1)
% 0.92/0.91 [238]E(f7(f4(x2381),f4(x2382),a2),f4(f7(x2381,x2382,a2)))
% 0.92/0.91 [239]E(f8(f4(x2391),f4(x2392),a2),f4(f8(x2391,x2392,a2)))
% 0.92/0.91 [246]~E(f4(x2461),f3(a2))+E(x2461,f3(a2))
% 0.92/0.91 [248]~P55(x2481)+P1(f19(x2481))
% 0.92/0.91 [249]~P55(x2491)+P48(f19(x2491))
% 0.92/0.91 [250]~P2(x2501)+P2(f19(x2501))
% 0.92/0.91 [251]~P43(x2511)+P3(f19(x2511))
% 0.92/0.91 [252]~P55(x2521)+P49(f19(x2521))
% 0.92/0.91 [253]~P55(x2531)+P56(f19(x2531))
% 0.92/0.91 [254]~P46(x2541)+P4(f19(x2541))
% 0.92/0.91 [255]~P41(x2551)+P45(f19(x2551))
% 0.92/0.91 [256]~P10(x2561)+P10(f19(x2561))
% 0.92/0.91 [257]~P55(x2571)+P11(f19(x2571))
% 0.92/0.91 [258]~P55(x2581)+P32(f19(x2581))
% 0.92/0.91 [259]~P55(x2591)+P59(f19(x2591))
% 0.92/0.91 [260]~P55(x2601)+P12(f19(x2601))
% 0.92/0.91 [261]~P44(x2611)+P13(f19(x2611))
% 0.92/0.91 [262]~P41(x2621)+P41(f19(x2621))
% 0.92/0.91 [263]~P44(x2631)+P42(f19(x2631))
% 0.92/0.91 [264]~P55(x2641)+P51(f19(x2641))
% 0.92/0.91 [265]~P55(x2651)+P57(f19(x2651))
% 0.92/0.91 [266]~P14(x2661)+P19(f19(x2661))
% 0.92/0.91 [267]~P55(x2671)+P55(f19(x2671))
% 0.92/0.91 [268]~P55(x2681)+P24(f19(x2681))
% 0.92/0.91 [269]~P10(x2691)+P60(f19(x2691))
% 0.92/0.91 [270]~P55(x2701)+P61(f19(x2701))
% 0.92/0.91 [271]~P55(x2711)+P28(f19(x2711))
% 0.92/0.91 [272]~P55(x2721)+P29(f19(x2721))
% 0.92/0.91 [273]~P55(x2731)+P30(f19(x2731))
% 0.92/0.91 [274]~P2(x2741)+P63(f19(x2741))
% 0.92/0.91 [275]~P2(x2751)+P52(f19(x2751))
% 0.92/0.91 [276]~P55(x2761)+P37(f19(x2761))
% 0.92/0.91 [277]~P55(x2771)+P58(f19(x2771))
% 0.92/0.91 [278]~P55(x2781)+P26(f19(x2781))
% 0.92/0.91 [279]~P55(x2791)+P62(f19(x2791))
% 0.92/0.91 [280]~P46(x2801)+P8(f19(x2801))
% 0.92/0.91 [281]~P14(x2811)+P14(f19(x2811))
% 0.92/0.91 [282]~P43(x2821)+P43(f19(x2821))
% 0.92/0.91 [283]~P22(x2831)+P20(f19(x2831))
% 0.92/0.91 [284]~P22(x2841)+P21(f19(x2841))
% 0.92/0.91 [285]~P23(x2851)+P23(f19(x2851))
% 0.92/0.91 [286]~P55(x2861)+P35(f19(x2861))
% 0.92/0.91 [287]~P23(x2871)+P16(f19(x2871))
% 0.92/0.91 [288]~P44(x2881)+P53(f19(x2881))
% 0.92/0.91 [289]~P44(x2891)+P64(f19(x2891))
% 0.92/0.91 [290]~P55(x2901)+P54(f19(x2901))
% 0.92/0.91 [291]~P23(x2911)+P27(f19(x2911))
% 0.92/0.91 [292]~P55(x2921)+P31(f19(x2921))
% 0.92/0.91 [293]~P44(x2931)+P44(f19(x2931))
% 0.92/0.91 [294]~P22(x2941)+P22(f19(x2941))
% 0.92/0.91 [296]~P12(x2961)+E(f9(f3(x2961),x2961),f3(x2961))
% 0.92/0.91 [297]~P19(x2971)+E(f11(f3(x2971),x2971),f3(x2971))
% 0.92/0.91 [298]~P26(x2981)+E(f11(f3(x2981),x2981),f3(x2981))
% 0.92/0.91 [351]~P18(x3511)+E(f7(f3(x3511),f3(x3511),x3511),f3(x3511))
% 0.92/0.91 [372]~P12(x3721)+P5(f9(f3(x3721),x3721),f3(x3721),x3721)
% 0.92/0.91 [435]~P12(x4351)+~P7(f3(x4351),f9(f3(x4351),x4351),x4351)
% 0.92/0.91 [628]~P49(x6281)+E(f7(f12(f3(x6281),f3(x6281),x6281),f12(f3(x6281),f3(x6281),x6281),x6281),f3(x6281))
% 0.92/0.91 [943]~P49(x9431)+P5(f7(f12(f3(x9431),f3(x9431),x9431),f12(f3(x9431),f3(x9431),x9431),x9431),f3(x9431),x9431)
% 0.92/0.91 [975]~P49(x9751)+~P7(f3(x9751),f7(f12(f3(x9751),f3(x9751),x9751),f12(f3(x9751),f3(x9751),x9751),x9751),x9751)
% 0.92/0.91 [313]~P32(x3132)+P5(x3131,x3131,x3132)
% 0.92/0.91 [314]~P35(x3142)+P5(x3141,x3141,x3142)
% 0.92/0.91 [315]~P41(x3152)+P6(x3151,x3151,x3152)
% 0.92/0.91 [364]~P7(x3642,x3642,x3641)+~P11(x3641)
% 0.92/0.91 [365]~P7(x3652,x3652,x3651)+~P32(x3651)
% 0.92/0.91 [366]~P7(x3662,x3662,x3661)+~P35(x3661)
% 0.92/0.91 [374]P5(x3742,x3741,a1)+P5(x3741,x3742,a1)
% 0.92/0.91 [247]E(x2471,x2472)+~E(f4(x2471),f4(x2472))
% 0.92/0.91 [316]~P17(x3162)+E(f12(x3161,x3161,x3162),x3161)
% 0.92/0.91 [317]~P11(x3172)+E(f15(x3171,x3171,x3172),x3171)
% 0.92/0.91 [318]~P11(x3182)+E(f16(x3181,x3181,x3182),x3181)
% 0.92/0.91 [319]~P4(x3192)+E(f6(x3191,x3191,x3192),f3(x3192))
% 0.92/0.91 [321]~P19(x3212)+E(f8(x3211,x3211,x3212),f3(x3212))
% 0.92/0.91 [322]~P14(x3222)+E(f8(x3221,x3221,x3222),f3(x3222))
% 0.92/0.91 [323]~P41(x3232)+P6(x3231,f3(x3232),x3232)
% 0.92/0.91 [358]~P12(x3582)+P5(x3581,f9(x3581,x3582),x3582)
% 0.92/0.91 [367]~P12(x3671)+P5(f3(x3671),f9(x3672,x3671),x3671)
% 0.92/0.91 [381]~P12(x3812)+P5(f11(x3811,x3812),f9(x3811,x3812),x3812)
% 0.92/0.91 [414]~P12(x4141)+~P7(f9(x4142,x4141),f3(x4141),x4141)
% 0.92/0.91 [459]~P49(x4591)+P5(f3(x4591),f12(x4592,x4592,x4591),x4591)
% 0.92/0.91 [593]~P49(x5931)+~P7(f12(x5932,x5932,x5931),f3(x5931),x5931)
% 0.92/0.91 [306]~P19(x3062)+E(f11(f11(x3061,x3062),x3062),x3061)
% 0.92/0.91 [307]~P15(x3072)+E(f11(f11(x3071,x3072),x3072),x3071)
% 0.92/0.91 [310]~P12(x3102)+E(f9(f9(x3101,x3102),x3102),f9(x3101,x3102))
% 0.92/0.91 [311]~P12(x3112)+E(f9(f11(x3111,x3112),x3112),f9(x3111,x3112))
% 0.92/0.91 [312]~P39(x3122)+E(f13(f11(x3121,x3122),x3122),f13(x3121,x3122))
% 0.92/0.91 [324]~P41(x3242)+E(f7(x3241,f3(x3242),x3242),x3241)
% 0.92/0.91 [325]~P23(x3252)+E(f7(x3251,f3(x3252),x3252),x3251)
% 0.92/0.91 [326]~P27(x3262)+E(f7(x3261,f3(x3262),x3262),x3261)
% 0.92/0.91 [327]~P4(x3272)+E(f6(x3271,f3(x3272),x3272),x3271)
% 0.92/0.91 [328]~P19(x3282)+E(f8(x3281,f3(x3282),x3282),x3281)
% 0.92/0.91 [330]~P41(x3301)+E(f7(f3(x3301),x3302,x3301),x3302)
% 0.92/0.91 [331]~P23(x3311)+E(f7(f3(x3311),x3312,x3311),x3312)
% 0.92/0.91 [332]~P27(x3321)+E(f7(f3(x3321),x3322,x3321),x3322)
% 0.92/0.91 [333]~P41(x3332)+E(f12(x3331,f3(x3332),x3332),f3(x3332))
% 0.92/0.91 [335]~P33(x3352)+E(f12(x3351,f3(x3352),x3352),f3(x3352))
% 0.92/0.91 [336]~P63(x3362)+E(f12(x3361,f3(x3362),x3362),f3(x3362))
% 0.92/0.91 [337]~P53(x3372)+E(f12(x3371,f3(x3372),x3372),f3(x3372))
% 0.92/0.91 [338]~P38(x3382)+E(f18(x3381,f3(x3382),x3382),f3(x3382))
% 0.92/0.91 [339]~P39(x3392)+E(f18(x3391,f3(x3392),x3392),f3(x3392))
% 0.92/0.91 [341]~P41(x3411)+E(f12(f3(x3411),x3412,x3411),f3(x3411))
% 0.92/0.91 [343]~P33(x3431)+E(f12(f3(x3431),x3432,x3431),f3(x3431))
% 0.92/0.91 [344]~P63(x3441)+E(f12(f3(x3441),x3442,x3441),f3(x3441))
% 0.92/0.91 [345]~P53(x3451)+E(f12(f3(x3451),x3452,x3451),f3(x3451))
% 0.92/0.91 [346]~P46(x3461)+E(f10(f3(x3461),x3462,x3461),f3(x3461))
% 0.92/0.91 [347]~P40(x3471)+E(f10(f3(x3471),x3472,x3471),f3(x3471))
% 0.92/0.91 [348]~P4(x3481)+E(f6(f3(x3481),x3482,x3481),f3(x3481))
% 0.92/0.91 [355]~P19(x3551)+E(f8(f3(x3551),x3552,x3551),f11(x3552,x3551))
% 0.92/0.91 [360]~P19(x3602)+E(f7(x3601,f11(x3601,x3602),x3602),f3(x3602))
% 0.92/0.91 [362]~P19(x3622)+E(f7(f11(x3621,x3622),x3621,x3622),f3(x3622))
% 0.92/0.91 [363]~P14(x3632)+E(f7(f11(x3631,x3632),x3631,x3632),f3(x3632))
% 0.92/0.91 [415]~P12(x4152)+P5(f11(f9(x4151,x4152),x4152),f3(x4152),x4152)
% 0.92/0.91 [437]~P55(x4372)+E(f12(f9(x4371,x4372),f9(x4371,x4372),x4372),f12(x4371,x4371,x4372))
% 0.92/0.91 [439]~P2(x4392)+E(f12(f11(x4391,x4392),f11(x4391,x4392),x4392),f12(x4391,x4391,x4392))
% 0.92/0.91 [385]~P41(x3853)+E(f12(x3851,x3852,x3853),f12(x3852,x3851,x3853))
% 0.92/0.91 [387]~P41(x3873)+E(f7(x3871,x3872,x3873),f7(x3872,x3871,x3873))
% 0.92/0.91 [388]~P23(x3883)+E(f7(x3881,x3882,x3883),f7(x3882,x3881,x3883))
% 0.92/0.91 [389]~P11(x3893)+E(f15(x3891,x3892,x3893),f15(x3892,x3891,x3893))
% 0.92/0.91 [390]~P11(x3903)+E(f16(x3901,x3902,x3903),f16(x3902,x3901,x3903))
% 0.92/0.91 [440]~P11(x4403)+P5(x4401,f16(x4402,x4401,x4403),x4403)
% 0.92/0.91 [441]~P11(x4413)+P5(x4411,f16(x4411,x4412,x4413),x4413)
% 0.92/0.91 [442]~P41(x4423)+P6(x4421,f12(x4422,x4421,x4423),x4423)
% 0.92/0.91 [443]~P45(x4433)+P6(x4431,f12(x4431,x4432,x4433),x4433)
% 0.92/0.91 [444]~P41(x4443)+P6(x4441,f12(x4441,x4442,x4443),x4443)
% 0.92/0.91 [445]~P11(x4453)+P5(f15(x4451,x4452,x4453),x4452,x4453)
% 0.92/0.91 [446]~P11(x4463)+P5(f15(x4461,x4462,x4463),x4461,x4463)
% 0.92/0.91 [403]~P38(x4032)+E(f18(x4031,f3(x4032),x4032),f18(x4033,f3(x4032),x4032))
% 0.92/0.91 [409]~P3(x4093)+E(f7(x4091,f11(x4092,x4093),x4093),f8(x4091,x4092,x4093))
% 0.92/0.91 [410]~P19(x4103)+E(f7(x4101,f11(x4102,x4103),x4103),f8(x4101,x4102,x4103))
% 0.92/0.91 [412]~P14(x4123)+E(f7(x4121,f11(x4122,x4123),x4123),f8(x4121,x4122,x4123))
% 0.92/0.91 [413]~P19(x4133)+E(f8(x4131,f11(x4132,x4133),x4133),f7(x4131,x4132,x4133))
% 0.92/0.91 [436]~P60(x4362)+E(f12(f11(x4361,x4362),x4363,x4362),f12(x4361,f11(x4363,x4362),x4362))
% 0.92/0.91 [438]~P60(x4382)+E(f12(f11(x4381,x4382),f11(x4383,x4382),x4382),f12(x4381,x4383,x4382))
% 0.92/0.91 [447]~P11(x4473)+E(f15(x4471,f16(x4471,x4472,x4473),x4473),x4471)
% 0.92/0.91 [448]~P11(x4483)+E(f16(x4481,f15(x4481,x4482,x4483),x4483),x4481)
% 0.92/0.91 [449]~P19(x4493)+E(f7(f8(x4491,x4492,x4493),x4492,x4493),x4491)
% 0.92/0.91 [450]~P19(x4503)+E(f8(f7(x4501,x4502,x4503),x4502,x4503),x4501)
% 0.92/0.91 [452]~P4(x4523)+E(f6(f12(x4521,x4522,x4523),x4522,x4523),f3(x4523))
% 0.92/0.91 [453]~P4(x4533)+E(f6(f12(x4531,x4532,x4533),x4531,x4533),f3(x4533))
% 0.92/0.91 [483]~P14(x4833)+E(f11(f8(x4831,x4832,x4833),x4833),f8(x4832,x4831,x4833))
% 0.92/0.91 [509]~P14(x5092)+E(f7(f11(x5091,x5092),f7(x5093,x5091,x5092),x5092),x5093)
% 0.92/0.91 [510]~P19(x5102)+E(f7(f11(x5101,x5102),f7(x5101,x5103,x5102),x5102),x5103)
% 0.92/0.91 [519]~P60(x5193)+E(f12(x5191,f11(x5192,x5193),x5193),f11(f12(x5191,x5192,x5193),x5193))
% 0.92/0.91 [520]~P60(x5202)+E(f12(f11(x5201,x5202),x5203,x5202),f11(f12(x5201,x5203,x5202),x5202))
% 0.92/0.91 [521]~P46(x5212)+E(f10(f11(x5211,x5212),x5213,x5212),f11(f10(x5211,x5213,x5212),x5212))
% 0.92/0.91 [523]~P33(x5233)+E(f12(x5231,f11(x5232,x5233),x5233),f11(f12(x5231,x5232,x5233),x5233))
% 0.92/0.91 [524]~P38(x5243)+E(f18(x5241,f11(x5242,x5243),x5243),f11(f18(x5241,x5242,x5243),x5243))
% 0.92/0.91 [525]~P39(x5253)+E(f18(x5251,f11(x5252,x5253),x5253),f11(f18(x5251,x5252,x5253),x5253))
% 0.92/0.91 [527]~P33(x5272)+E(f12(f11(x5271,x5272),x5273,x5272),f11(f12(x5271,x5273,x5272),x5272))
% 0.92/0.91 [528]~P40(x5282)+E(f10(f11(x5281,x5282),x5283,x5282),f11(f10(x5281,x5283,x5282),x5282))
% 0.92/0.91 [543]~P17(x5433)+E(f12(x5431,f12(x5431,x5432,x5433),x5433),f12(x5431,x5432,x5433))
% 0.92/0.91 [544]~P11(x5443)+E(f15(x5441,f15(x5441,x5442,x5443),x5443),f15(x5441,x5442,x5443))
% 0.92/0.91 [545]~P11(x5453)+E(f16(x5451,f16(x5451,x5452,x5453),x5453),f16(x5451,x5452,x5453))
% 0.92/0.91 [546]~P4(x5463)+E(f6(f7(x5461,x5462,x5463),x5462,x5463),f6(x5461,x5462,x5463))
% 0.92/0.91 [547]~P4(x5473)+E(f6(f7(x5471,x5472,x5473),x5471,x5473),f6(x5472,x5471,x5473))
% 0.92/0.91 [548]~P4(x5483)+E(f6(f6(x5481,x5482,x5483),x5482,x5483),f6(x5481,x5482,x5483))
% 0.92/0.91 [551]~P55(x5512)+E(f12(f9(x5511,x5512),f9(x5513,x5512),x5512),f9(f12(x5511,x5513,x5512),x5512))
% 0.92/0.91 [552]~P19(x5522)+E(f7(f11(x5521,x5522),f11(x5523,x5522),x5522),f11(f7(x5523,x5521,x5522),x5522))
% 0.92/0.91 [553]~P14(x5532)+E(f7(f11(x5531,x5532),f11(x5533,x5532),x5532),f11(f7(x5531,x5533,x5532),x5532))
% 0.92/0.91 [554]~P14(x5542)+E(f8(f11(x5541,x5542),f11(x5543,x5542),x5542),f11(f8(x5541,x5543,x5542),x5542))
% 0.92/0.91 [566]~P12(x5663)+E(f9(f8(x5661,x5662,x5663),x5663),f9(f8(x5662,x5661,x5663),x5663))
% 0.92/0.91 [567]~P39(x5673)+E(f13(f8(x5671,x5672,x5673),x5673),f13(f8(x5672,x5671,x5673),x5673))
% 0.92/0.91 [599]~P2(x5992)+P6(f12(x5991,f3(x5992),x5992),f12(x5993,f3(x5992),x5992),x5992)
% 0.92/0.91 [600]~P2(x6001)+P6(f12(f3(x6001),x6002,x6001),f12(f3(x6001),x6003,x6001),x6001)
% 0.92/0.91 [855]~P47(x8553)+P5(f9(f12(x8551,x8552,x8553),x8553),f12(f9(x8551,x8553),f9(x8552,x8553),x8553),x8553)
% 0.92/0.91 [856]~P12(x8563)+P5(f9(f7(x8561,x8562,x8563),x8563),f7(f9(x8561,x8563),f9(x8562,x8563),x8563),x8563)
% 0.92/0.91 [857]~P12(x8573)+P5(f9(f8(x8571,x8572,x8573),x8573),f7(f9(x8571,x8573),f9(x8572,x8573),x8573),x8573)
% 0.92/0.91 [858]~P12(x8582)+P5(f8(f9(x8581,x8582),f9(x8583,x8582),x8582),f9(f8(x8581,x8583,x8582),x8582),x8582)
% 0.92/0.91 [923]~P49(x9231)+P5(f3(x9231),f7(f12(x9232,x9232,x9231),f12(x9233,x9233,x9231),x9231),x9231)
% 0.92/0.91 [968]~P49(x9681)+~P7(f7(f12(x9682,x9682,x9681),f12(x9683,x9683,x9681),x9681),f3(x9681),x9681)
% 0.92/0.91 [542]~P19(x5422)+E(f7(x5421,f7(f11(x5421,x5422),x5423,x5422),x5422),x5423)
% 0.92/0.91 [665]~P12(x6652)+E(f9(f7(f9(x6651,x6652),f9(x6653,x6652),x6652),x6652),f7(f9(x6651,x6652),f9(x6653,x6652),x6652))
% 0.92/0.91 [743]~P8(x7433)+E(f6(f11(f6(x7431,x7432,x7433),x7433),x7432,x7433),f6(f11(x7431,x7433),x7432,x7433))
% 0.92/0.91 [948]~P12(x9482)+P5(f9(f8(f9(x9481,x9482),f9(x9483,x9482),x9482),x9482),f9(f8(x9481,x9483,x9482),x9482),x9482)
% 0.92/0.91 [629]~P41(x6294)+E(f12(x6291,f12(x6292,x6293,x6294),x6294),f12(x6292,f12(x6291,x6293,x6294),x6294))
% 0.92/0.91 [630]~P41(x6304)+E(f7(x6301,f7(x6302,x6303,x6304),x6304),f7(x6302,f7(x6301,x6303,x6304),x6304))
% 0.92/0.91 [631]~P14(x6314)+E(f7(x6311,f7(x6312,x6313,x6314),x6314),f7(x6312,f7(x6311,x6313,x6314),x6314))
% 0.92/0.91 [632]~P23(x6324)+E(f7(x6321,f7(x6322,x6323,x6324),x6324),f7(x6322,f7(x6321,x6323,x6324),x6324))
% 0.92/0.91 [633]~P11(x6334)+E(f15(x6331,f15(x6332,x6333,x6334),x6334),f15(x6332,f15(x6331,x6333,x6334),x6334))
% 0.92/0.91 [634]~P11(x6344)+E(f16(x6341,f16(x6342,x6343,x6344),x6344),f16(x6342,f16(x6341,x6343,x6344),x6344))
% 0.92/0.91 [636]~P33(x6364)+E(f18(x6361,f12(x6362,x6363,x6364),x6364),f12(x6362,f18(x6361,x6363,x6364),x6364))
% 0.92/0.91 [637]~P34(x6374)+E(f18(x6371,f12(x6372,x6373,x6374),x6374),f12(x6372,f18(x6371,x6373,x6374),x6374))
% 0.92/0.91 [638]~P38(x6384)+E(f18(x6381,f18(x6382,x6383,x6384),x6384),f18(x6382,f18(x6381,x6383,x6384),x6384))
% 0.92/0.91 [640]~P39(x6404)+E(f18(x6401,f18(x6402,x6403,x6404),x6404),f18(x6402,f18(x6401,x6403,x6404),x6404))
% 0.92/0.91 [645]~P13(x6453)+E(f12(f12(x6451,x6452,x6453),x6454,x6453),f12(x6451,f12(x6452,x6454,x6453),x6453))
% 0.92/0.91 [646]~P41(x6463)+E(f12(f12(x6461,x6462,x6463),x6464,x6463),f12(x6461,f12(x6462,x6464,x6463),x6463))
% 0.92/0.91 [648]~P33(x6484)+E(f18(x6481,f12(x6482,x6483,x6484),x6484),f12(f18(x6481,x6482,x6484),x6483,x6484))
% 0.92/0.91 [649]~P34(x6494)+E(f18(x6491,f12(x6492,x6493,x6494),x6494),f12(f18(x6491,x6492,x6494),x6493,x6494))
% 0.92/0.91 [650]~P41(x6503)+E(f7(f7(x6501,x6502,x6503),x6504,x6503),f7(x6501,f7(x6502,x6504,x6503),x6503))
% 0.92/0.91 [651]~P23(x6513)+E(f7(f7(x6511,x6512,x6513),x6514,x6513),f7(x6511,f7(x6512,x6514,x6513),x6513))
% 0.92/0.91 [652]~P16(x6523)+E(f7(f7(x6521,x6522,x6523),x6524,x6523),f7(x6521,f7(x6522,x6524,x6523),x6523))
% 0.92/0.91 [653]~P40(x6533)+E(f10(f18(x6531,x6532,x6533),x6534,x6533),f18(x6531,f10(x6532,x6534,x6533),x6533))
% 0.92/0.91 [654]~P11(x6543)+E(f15(f15(x6541,x6542,x6543),x6544,x6543),f15(x6541,f15(x6542,x6544,x6543),x6543))
% 0.92/0.91 [655]~P11(x6553)+E(f16(f16(x6551,x6552,x6553),x6554,x6553),f16(x6551,f16(x6552,x6554,x6553),x6553))
% 0.92/0.91 [656]~P44(x6563)+E(f14(f17(x6561,x6562,x6563),x6564,x6563),f14(x6561,f14(x6562,x6564,x6563),x6563))
% 0.92/0.91 [657]~P41(x6573)+E(f12(f12(x6571,x6572,x6573),x6574,x6573),f12(f12(x6571,x6574,x6573),x6572,x6573))
% 0.92/0.91 [658]~P41(x6583)+E(f7(f7(x6581,x6582,x6583),x6584,x6583),f7(f7(x6581,x6584,x6583),x6582,x6583))
% 0.92/0.91 [783]~P41(x7833)+E(f7(f12(x7831,x7832,x7833),f12(x7831,x7834,x7833),x7833),f12(x7831,f7(x7832,x7834,x7833),x7833))
% 0.92/0.91 [785]~P33(x7853)+E(f7(f12(x7851,x7852,x7853),f12(x7851,x7854,x7853),x7853),f12(x7851,f7(x7852,x7854,x7853),x7853))
% 0.92/0.91 [787]~P33(x7873)+E(f8(f12(x7871,x7872,x7873),f12(x7871,x7874,x7873),x7873),f12(x7871,f8(x7872,x7874,x7873),x7873))
% 0.92/0.91 [788]~P11(x7883)+E(f16(f15(x7881,x7882,x7883),f15(x7881,x7884,x7883),x7883),f15(x7881,f16(x7882,x7884,x7883),x7883))
% 0.92/0.91 [789]~P11(x7893)+E(f15(f16(x7891,x7892,x7893),f16(x7891,x7894,x7893),x7893),f16(x7891,f15(x7892,x7894,x7893),x7893))
% 0.92/0.91 [790]~P38(x7903)+E(f7(f18(x7901,x7902,x7903),f18(x7901,x7904,x7903),x7903),f18(x7901,f7(x7902,x7904,x7903),x7903))
% 0.92/0.91 [791]~P39(x7913)+E(f7(f18(x7911,x7912,x7913),f18(x7911,x7914,x7913),x7913),f18(x7911,f7(x7912,x7914,x7913),x7913))
% 0.92/0.91 [792]~P38(x7923)+E(f8(f18(x7921,x7922,x7923),f18(x7921,x7924,x7923),x7923),f18(x7921,f8(x7922,x7924,x7923),x7923))
% 0.92/0.91 [793]~P39(x7933)+E(f8(f18(x7931,x7932,x7933),f18(x7931,x7934,x7933),x7933),f18(x7931,f8(x7932,x7934,x7933),x7933))
% 0.92/0.91 [796]~P33(x7963)+E(f7(f12(x7961,x7962,x7963),f12(x7964,x7962,x7963),x7963),f12(f7(x7961,x7964,x7963),x7962,x7963))
% 0.92/0.91 [797]~P42(x7973)+E(f7(f12(x7971,x7972,x7973),f12(x7974,x7972,x7973),x7973),f12(f7(x7971,x7974,x7973),x7972,x7973))
% 0.92/0.91 [799]~P33(x7993)+E(f8(f12(x7991,x7992,x7993),f12(x7994,x7992,x7993),x7993),f12(f8(x7991,x7994,x7993),x7992,x7993))
% 0.92/0.91 [800]~P28(x8003)+E(f15(f7(x8001,x8002,x8003),f7(x8004,x8002,x8003),x8003),f7(f15(x8001,x8004,x8003),x8002,x8003))
% 0.92/0.91 [801]~P28(x8013)+E(f16(f7(x8011,x8012,x8013),f7(x8014,x8012,x8013),x8013),f7(f16(x8011,x8014,x8013),x8012,x8013))
% 0.92/0.91 [802]~P46(x8023)+E(f7(f10(x8021,x8022,x8023),f10(x8024,x8022,x8023),x8023),f10(f7(x8021,x8024,x8023),x8022,x8023))
% 0.92/0.91 [803]~P40(x8033)+E(f7(f10(x8031,x8032,x8033),f10(x8034,x8032,x8033),x8033),f10(f7(x8031,x8034,x8033),x8032,x8033))
% 0.92/0.91 [804]~P46(x8043)+E(f8(f10(x8041,x8042,x8043),f10(x8044,x8042,x8043),x8043),f10(f8(x8041,x8044,x8043),x8042,x8043))
% 0.92/0.91 [805]~P40(x8053)+E(f8(f10(x8051,x8052,x8053),f10(x8054,x8052,x8053),x8053),f10(f8(x8051,x8054,x8053),x8052,x8053))
% 0.92/0.91 [806]~P24(x8063)+E(f15(f8(x8061,x8062,x8063),f8(x8064,x8062,x8063),x8063),f8(f15(x8061,x8064,x8063),x8062,x8063))
% 0.92/0.91 [807]~P24(x8073)+E(f16(f8(x8071,x8072,x8073),f8(x8074,x8072,x8073),x8073),f8(f16(x8071,x8074,x8073),x8072,x8073))
% 0.92/0.91 [808]~P11(x8083)+E(f16(f15(x8081,x8082,x8083),f15(x8084,x8082,x8083),x8083),f15(f16(x8081,x8084,x8083),x8082,x8083))
% 0.92/0.91 [809]~P11(x8093)+E(f15(f16(x8091,x8092,x8093),f16(x8094,x8092,x8093),x8093),f16(f15(x8091,x8094,x8093),x8092,x8093))
% 0.92/0.91 [810]~P4(x8103)+E(f6(f12(x8101,x8102,x8103),f12(x8101,x8104,x8103),x8103),f12(x8101,f6(x8102,x8104,x8103),x8103))
% 0.92/0.91 [811]~P41(x8113)+E(f7(f12(x8111,x8112,x8113),f12(x8114,x8112,x8113),x8113),f12(f7(x8111,x8114,x8113),x8112,x8113))
% 0.92/0.91 [812]~P4(x8123)+E(f6(f12(x8121,x8122,x8123),f12(x8124,x8122,x8123),x8123),f12(f6(x8121,x8124,x8123),x8122,x8123))
% 0.92/0.91 [966]~P11(x9664)+P5(f16(x9661,f15(x9662,x9663,x9664),x9664),f15(f16(x9661,x9662,x9664),f16(x9661,x9663,x9664),x9664),x9664)
% 0.92/0.91 [967]~P11(x9673)+P5(f16(f15(x9671,x9672,x9673),f15(x9671,x9674,x9673),x9673),f15(x9671,f16(x9672,x9674,x9673),x9673),x9673)
% 0.92/0.91 [781]~P4(x7814)+E(f6(f7(x7811,f12(x7812,x7813,x7814),x7814),x7813,x7814),f6(x7811,x7813,x7814))
% 0.92/0.91 [782]~P4(x7824)+E(f6(f7(x7821,f12(x7822,x7823,x7824),x7824),x7822,x7824),f6(x7821,x7822,x7824))
% 0.92/0.91 [820]~P10(x8203)+E(f8(f14(x8201,x8202,x8203),f14(x8204,x8202,x8203),x8203),f14(f8(x8201,x8204,f19(x8203)),x8202,x8203))
% 0.92/0.91 [874]~P4(x8744)+E(f6(f12(x8741,f6(x8742,x8743,x8744),x8744),x8743,x8744),f6(f12(x8741,x8742,x8744),x8743,x8744))
% 0.92/0.91 [876]~P8(x8764)+E(f6(f8(x8761,f6(x8762,x8763,x8764),x8764),x8763,x8764),f6(f8(x8761,x8762,x8764),x8763,x8764))
% 0.92/0.91 [879]~P8(x8793)+E(f6(f8(f6(x8791,x8792,x8793),x8794,x8793),x8792,x8793),f6(f8(x8791,x8794,x8793),x8792,x8793))
% 0.92/0.91 [880]~P4(x8804)+E(f6(f7(x8801,f6(x8802,x8803,x8804),x8804),x8803,x8804),f6(f7(x8801,x8802,x8804),x8803,x8804))
% 0.92/0.91 [881]~P4(x8813)+E(f6(f12(f6(x8811,x8812,x8813),x8814,x8813),x8812,x8813),f6(f12(x8811,x8814,x8813),x8812,x8813))
% 0.92/0.91 [882]~P4(x8823)+E(f6(f7(f6(x8821,x8822,x8823),x8824,x8823),x8822,x8823),f6(f7(x8821,x8824,x8823),x8822,x8823))
% 0.92/0.91 [949]~P4(x9493)+E(f6(f12(f6(x9491,x9492,x9493),f6(x9494,x9492,x9493),x9493),x9492,x9493),f6(f12(x9491,x9494,x9493),x9492,x9493))
% 0.92/0.91 [950]~P4(x9503)+E(f6(f7(f6(x9501,x9502,x9503),f6(x9504,x9502,x9503),x9503),x9502,x9503),f6(f7(x9501,x9504,x9503),x9502,x9503))
% 0.92/0.91 [951]~P8(x9513)+E(f6(f8(f6(x9511,x9512,x9513),f6(x9514,x9512,x9513),x9513),x9512,x9513),f6(f8(x9511,x9514,x9513),x9512,x9513))
% 0.92/0.91 [883]~P41(x8833)+E(f12(f12(x8831,x8832,x8833),f12(x8834,x8835,x8833),x8833),f12(f12(x8831,x8834,x8833),f12(x8832,x8835,x8833),x8833))
% 0.92/0.91 [884]~P41(x8843)+E(f7(f7(x8841,x8842,x8843),f7(x8844,x8845,x8843),x8843),f7(f7(x8841,x8844,x8843),f7(x8842,x8845,x8843),x8843))
% 0.92/0.91 [885]~P14(x8853)+E(f8(f7(x8851,x8852,x8853),f7(x8854,x8855,x8853),x8853),f7(f8(x8851,x8854,x8853),f8(x8852,x8855,x8853),x8853))
% 0.92/0.91 [963]~P64(x9633)+E(f7(f12(x9631,x9632,x9633),f7(f12(x9634,x9632,x9633),x9635,x9633),x9633),f7(f12(f7(x9631,x9634,x9633),x9632,x9633),x9635,x9633))
% 0.92/0.91 [987]~P12(x9873)+P5(f9(f8(f7(x9871,x9872,x9873),f7(x9874,x9875,x9873),x9873),x9873),f7(f9(f8(x9871,x9874,x9873),x9873),f9(f8(x9872,x9875,x9873),x9873),x9873),x9873)
% 0.92/0.91 [988]~P33(x9883)+E(f7(f7(f12(f8(x9881,x9882,x9883),f8(x9884,x9885,x9883),x9883),f12(f8(x9881,x9882,x9883),x9885,x9883),x9883),f12(x9882,f8(x9884,x9885,x9883),x9883),x9883),f8(f12(x9881,x9884,x9883),f12(x9882,x9885,x9883),x9883))
% 0.92/0.91 [974]~P60(x9743)+E(f7(f12(x9741,x9742,x9743),f7(f12(f8(x9744,x9741,x9743),x9742,x9743),x9745,x9743),x9743),f7(f12(x9744,x9742,x9743),x9745,x9743))
% 0.92/0.91 [986]~P36(x9864)+E(f7(f12(x9861,f10(f8(x9862,x9863,x9864),x9865,x9864),x9864),f12(f10(f8(x9861,x9866,x9864),x9865,x9864),x9863,x9864),x9864),f10(f8(f12(x9861,x9862,x9864),f12(x9866,x9863,x9864),x9864),x9865,x9864))
% 0.92/0.91 [484]~P30(x4841)+~P5(f3(x4841),f3(x4841),x4841)+E(f7(f3(x4841),f3(x4841),x4841),f3(x4841))
% 0.92/0.91 [451]E(x4511,x4512)+~P5(x4512,x4511,a1)+~P5(x4511,x4512,a1)
% 0.92/0.91 [299]~P26(x2992)+~E(f11(x2991,x2992),x2991)+E(x2991,f3(x2992))
% 0.92/0.91 [300]~P12(x3002)+~E(f9(x3001,x3002),f3(x3002))+E(x3001,f3(x3002))
% 0.92/0.91 [301]~P19(x3012)+~E(f11(x3011,x3012),f3(x3012))+E(x3011,f3(x3012))
% 0.92/0.91 [302]~P19(x3021)+~E(f11(x3022,x3021),f3(x3021))+E(f3(x3021),x3022)
% 0.92/0.91 [349]~P2(x3492)+~P3(x3492)+E(f8(x3491,x3491,x3492),f3(x3492))
% 0.92/0.91 [356]~P37(x3562)+P7(x3561,f3(x3562),x3562)+E(f9(x3561,x3562),x3561)
% 0.92/0.91 [368]~P12(x3682)+P7(f3(x3682),f9(x3681,x3682),x3682)+E(x3681,f3(x3682))
% 0.92/0.91 [371]~P18(x3712)+~E(f7(x3711,x3711,x3712),f3(x3712))+E(x3711,f3(x3712))
% 0.92/0.91 [376]~P41(x3762)+~P6(f3(x3762),x3761,x3762)+E(x3761,f3(x3762))
% 0.92/0.91 [396]~P12(x3962)+~P5(f3(x3962),x3961,x3962)+E(f9(x3961,x3962),x3961)
% 0.92/0.91 [397]~P12(x3972)+~P7(f3(x3972),x3971,x3972)+E(f9(x3971,x3972),x3971)
% 0.92/0.91 [404]~P12(x4042)+~P5(x4041,f3(x4042),x4042)+E(f9(x4041,x4042),f11(x4041,x4042))
% 0.92/0.91 [405]~P12(x4052)+~P7(x4051,f3(x4052),x4052)+E(f9(x4051,x4052),f11(x4051,x4052))
% 0.92/0.91 [406]~P37(x4062)+~P7(x4061,f3(x4062),x4062)+E(f9(x4061,x4062),f11(x4061,x4062))
% 0.92/0.91 [422]~P12(x4222)+~P5(f9(x4221,x4222),f3(x4222),x4222)+E(x4221,f3(x4222))
% 0.92/0.91 [485]~P18(x4852)+~P5(x4851,f3(x4852),x4852)+P5(x4851,f11(x4851,x4852),x4852)
% 0.92/0.91 [486]~P26(x4862)+~P5(x4861,f3(x4862),x4862)+P5(x4861,f11(x4861,x4862),x4862)
% 0.92/0.91 [487]~P55(x4872)+~P7(x4871,f3(x4872),x4872)+P7(x4871,f11(x4871,x4872),x4872)
% 0.92/0.91 [488]~P18(x4882)+~P5(f3(x4882),x4881,x4882)+P5(f11(x4881,x4882),x4881,x4882)
% 0.92/0.91 [489]~P26(x4892)+~P5(f3(x4892),x4891,x4892)+P5(f11(x4891,x4892),x4891,x4892)
% 0.92/0.91 [498]~P24(x4981)+~P5(x4982,f3(x4981),x4981)+P5(f3(x4981),f11(x4982,x4981),x4981)
% 0.92/0.91 [499]~P24(x4991)+~P7(x4992,f3(x4991),x4991)+P7(f3(x4991),f11(x4992,x4991),x4991)
% 0.92/0.91 [500]~P24(x5002)+~P5(f3(x5002),x5001,x5002)+P5(f11(x5001,x5002),f3(x5002),x5002)
% 0.92/0.91 [501]~P24(x5012)+~P7(f3(x5012),x5011,x5012)+P7(f11(x5011,x5012),f3(x5012),x5012)
% 0.92/0.91 [504]~P18(x5042)+~P5(x5041,f11(x5041,x5042),x5042)+P5(x5041,f3(x5042),x5042)
% 0.92/0.91 [505]~P26(x5052)+~P5(x5051,f11(x5051,x5052),x5052)+P5(x5051,f3(x5052),x5052)
% 0.92/0.91 [506]~P55(x5062)+~P7(x5061,f11(x5061,x5062),x5062)+P7(x5061,f3(x5062),x5062)
% 0.92/0.91 [507]~P18(x5071)+~P5(f11(x5072,x5071),x5072,x5071)+P5(f3(x5071),x5072,x5071)
% 0.92/0.91 [508]~P26(x5081)+~P5(f11(x5082,x5081),x5082,x5081)+P5(f3(x5081),x5082,x5081)
% 0.92/0.91 [515]~P24(x5152)+~P5(f3(x5152),f11(x5151,x5152),x5152)+P5(x5151,f3(x5152),x5152)
% 0.92/0.91 [516]~P24(x5162)+~P7(f3(x5162),f11(x5161,x5162),x5162)+P7(x5161,f3(x5162),x5162)
% 0.92/0.91 [517]~P24(x5171)+~P5(f11(x5172,x5171),f3(x5171),x5171)+P5(f3(x5171),x5172,x5171)
% 0.92/0.91 [518]~P24(x5181)+~P7(f11(x5182,x5181),f3(x5181),x5181)+P7(f3(x5181),x5182,x5181)
% 0.92/0.91 [588]~P18(x5881)+~P5(f3(x5881),x5882,x5881)+P5(f3(x5881),f7(x5882,x5882,x5881),x5881)
% 0.92/0.91 [589]~P18(x5891)+~P7(f3(x5891),x5892,x5891)+P7(f3(x5891),f7(x5892,x5892,x5891),x5891)
% 0.92/0.91 [590]~P18(x5902)+~P5(x5901,f3(x5902),x5902)+P5(f7(x5901,x5901,x5902),f3(x5902),x5902)
% 0.92/0.91 [591]~P18(x5912)+~P7(x5911,f3(x5912),x5912)+P7(f7(x5911,x5911,x5912),f3(x5912),x5912)
% 0.92/0.91 [592]~P55(x5922)+~P7(x5921,f3(x5922),x5922)+P7(f7(x5921,x5921,x5922),f3(x5922),x5922)
% 0.92/0.91 [659]~P18(x6592)+~P5(f7(x6591,x6591,x6592),f3(x6592),x6592)+P5(x6591,f3(x6592),x6592)
% 0.92/0.91 [660]~P18(x6602)+~P7(f7(x6601,x6601,x6602),f3(x6602),x6602)+P7(x6601,f3(x6602),x6602)
% 0.92/0.91 [661]~P55(x6612)+~P7(f7(x6611,x6611,x6612),f3(x6612),x6612)+P7(x6611,f3(x6612),x6612)
% 0.92/0.91 [662]~P18(x6621)+~P5(f3(x6621),f7(x6622,x6622,x6621),x6621)+P5(f3(x6621),x6622,x6621)
% 0.92/0.91 [663]~P18(x6631)+~P7(f3(x6631),f7(x6632,x6632,x6631),x6631)+P7(f3(x6631),x6632,x6631)
% 0.92/0.91 [350]~P2(x3502)+~P3(x3502)+E(f7(x3501,f3(x3502),x3502),x3501)
% 0.92/0.91 [354]~P9(x3542)+~P46(x3542)+E(f10(x3541,f3(x3542),x3542),f3(x3542))
% 0.92/0.91 [503]~P9(x5031)+~P46(x5031)+E(f10(f12(f3(x5031),x5032,x5031),x5032,x5031),f3(x5031))
% 0.92/0.91 [391]P5(x3912,x3911,x3913)+~P11(x3913)+P5(x3911,x3912,x3913)
% 0.92/0.91 [394]P7(x3942,x3941,x3943)+~P11(x3943)+P5(x3941,x3942,x3943)
% 0.92/0.91 [416]~P32(x4163)+~P7(x4161,x4162,x4163)+P5(x4161,x4162,x4163)
% 0.92/0.91 [417]~P35(x4173)+~P7(x4171,x4172,x4173)+P5(x4171,x4172,x4173)
% 0.92/0.91 [464]~P7(x4643,x4642,x4641)+~P11(x4641)+~P5(x4642,x4643,x4641)
% 0.92/0.91 [466]~P7(x4663,x4662,x4661)+~P11(x4661)+~P7(x4662,x4663,x4661)
% 0.92/0.91 [467]~P7(x4673,x4672,x4671)+~P32(x4671)+~P7(x4672,x4673,x4671)
% 0.92/0.91 [468]~P7(x4683,x4682,x4681)+~P35(x4681)+~P5(x4682,x4683,x4681)
% 0.92/0.91 [470]~P7(x4703,x4702,x4701)+~P35(x4701)+~P7(x4702,x4703,x4701)
% 0.92/0.91 [541]~P5(x5411,x5413,a1)+P5(x5411,x5412,a1)+~P5(x5413,x5412,a1)
% 0.92/0.91 [308]~P19(x3083)+E(x3081,x3082)+~E(f11(x3081,x3083),f11(x3082,x3083))
% 0.92/0.91 [309]~P15(x3093)+E(x3091,x3092)+~E(f11(x3091,x3093),f11(x3092,x3093))
% 0.92/0.91 [369]~P19(x3693)+E(x3691,x3692)+~E(f8(x3691,x3692,x3693),f3(x3693))
% 0.92/0.91 [370]~P14(x3703)+E(x3701,x3702)+~E(f8(x3701,x3702,x3703),f3(x3703))
% 0.92/0.91 [373]~P55(x3733)+P6(x3731,x3732,x3733)+~E(f9(x3731,x3733),f9(x3732,x3733))
% 0.92/0.91 [382]~P19(x3823)+~E(f7(x3821,x3822,x3823),f3(x3823))+E(x3821,f11(x3822,x3823))
% 0.92/0.91 [383]~P19(x3832)+~E(f7(x3831,x3833,x3832),f3(x3832))+E(f11(x3831,x3832),x3833)
% 0.92/0.91 [418]~P11(x4183)+~P5(x4182,x4181,x4183)+E(f15(x4181,x4182,x4183),x4182)
% 0.92/0.91 [419]~P11(x4193)+~P5(x4191,x4192,x4193)+E(f15(x4191,x4192,x4193),x4191)
% 0.92/0.91 [420]~P11(x4203)+~P5(x4201,x4202,x4203)+E(f16(x4201,x4202,x4203),x4202)
% 0.92/0.91 [421]~P11(x4213)+~P5(x4212,x4211,x4213)+E(f16(x4211,x4212,x4213),x4211)
% 0.92/0.91 [423]~P11(x4233)+P5(x4231,x4232,x4233)+~E(f15(x4231,x4232,x4233),x4231)
% 0.92/0.91 [424]~P11(x4243)+P5(x4241,x4242,x4243)+~E(f16(x4241,x4242,x4243),x4242)
% 0.92/0.91 [433]~P4(x4333)+~P6(x4332,x4331,x4333)+E(f6(x4331,x4332,x4333),f3(x4333))
% 0.92/0.91 [434]~P4(x4343)+P6(x4341,x4342,x4343)+~E(f6(x4342,x4341,x4343),f3(x4343))
% 0.92/0.91 [455]~P55(x4553)+~P6(x4551,x4552,x4553)+P6(x4551,f9(x4552,x4553),x4553)
% 0.92/0.91 [456]~P43(x4563)+~P6(x4561,x4562,x4563)+P6(x4561,f11(x4562,x4563),x4563)
% 0.92/0.91 [457]~P55(x4572)+~P6(x4571,x4573,x4572)+P6(f9(x4571,x4572),x4573,x4572)
% 0.92/0.91 [458]~P43(x4582)+~P6(x4581,x4583,x4582)+P6(f11(x4581,x4582),x4583,x4582)
% 0.92/0.91 [492]~P55(x4923)+P6(x4921,x4922,x4923)+~P6(x4921,f9(x4922,x4923),x4923)
% 0.92/0.91 [493]~P43(x4933)+P6(x4931,x4932,x4933)+~P6(x4931,f11(x4932,x4933),x4933)
% 0.92/0.91 [494]~P12(x4943)+P5(x4941,x4942,x4943)+~P5(f9(x4941,x4943),x4942,x4943)
% 0.92/0.91 [495]~P55(x4953)+P7(x4951,x4952,x4953)+~P7(f9(x4951,x4953),x4952,x4953)
% 0.92/0.91 [496]~P55(x4963)+P6(x4961,x4962,x4963)+~P6(f9(x4961,x4963),x4962,x4963)
% 0.92/0.91 [497]~P43(x4973)+P6(x4971,x4972,x4973)+~P6(f11(x4971,x4973),x4972,x4973)
% 0.92/0.91 [512]~P24(x5122)+~P5(x5123,x5121,x5122)+P5(f11(x5121,x5122),f11(x5123,x5122),x5122)
% 0.92/0.91 [513]~P24(x5132)+~P7(x5133,x5131,x5132)+P7(f11(x5131,x5132),f11(x5133,x5132),x5132)
% 0.92/0.91 [531]~P24(x5313)+~P5(x5312,f11(x5311,x5313),x5313)+P5(x5311,f11(x5312,x5313),x5313)
% 0.92/0.91 [533]~P24(x5333)+~P7(x5332,f11(x5331,x5333),x5333)+P7(x5331,f11(x5332,x5333),x5333)
% 0.92/0.91 [534]~P12(x5342)+~P5(f9(x5341,x5342),x5343,x5342)+P5(f11(x5341,x5342),x5343,x5342)
% 0.92/0.91 [536]~P24(x5362)+~P5(f11(x5363,x5362),x5361,x5362)+P5(f11(x5361,x5362),x5363,x5362)
% 0.92/0.91 [537]~P55(x5372)+~P7(f9(x5371,x5372),x5373,x5372)+P7(f11(x5371,x5372),x5373,x5372)
% 0.92/0.91 [539]~P24(x5392)+~P7(f11(x5393,x5392),x5391,x5392)+P7(f11(x5391,x5392),x5393,x5392)
% 0.92/0.91 [549]~P24(x5493)+P5(x5491,x5492,x5493)+~P5(f11(x5492,x5493),f11(x5491,x5493),x5493)
% 0.92/0.91 [550]~P24(x5503)+P7(x5501,x5502,x5503)+~P7(f11(x5502,x5503),f11(x5501,x5503),x5503)
% 0.92/0.91 [586]~P24(x5863)+~P5(x5861,x5862,x5863)+P5(f8(x5861,x5862,x5863),f3(x5863),x5863)
% 0.92/0.91 [587]~P24(x5873)+~P7(x5871,x5872,x5873)+P7(f8(x5871,x5872,x5873),f3(x5873),x5873)
% 0.92/0.91 [604]~P18(x6043)+~P5(x6041,f11(x6042,x6043),x6043)+P5(f7(x6041,x6042,x6043),f3(x6043),x6043)
% 0.92/0.91 [626]~P24(x6263)+P5(x6261,x6262,x6263)+~P5(f8(x6261,x6262,x6263),f3(x6263),x6263)
% 0.92/0.91 [627]~P24(x6273)+P7(x6271,x6272,x6273)+~P7(f8(x6271,x6272,x6273),f3(x6273),x6273)
% 0.92/0.91 [682]~P18(x6823)+~P5(f7(x6821,x6822,x6823),f3(x6823),x6823)+P5(x6821,f11(x6822,x6823),x6823)
% 0.92/0.91 [454]~P46(x4542)+E(x4541,f3(x4542))+E(f10(f11(x4543,x4542),f11(x4541,x4542),x4542),f10(x4543,x4541,x4542))
% 0.92/0.91 [461]~P46(x4612)+E(x4611,f3(x4612))+E(f10(f12(x4613,x4611,x4612),x4611,x4612),x4613)
% 0.92/0.91 [462]~P9(x4622)+~P46(x4622)+E(f10(f11(x4621,x4622),f11(x4623,x4622),x4622),f10(x4621,x4623,x4622))
% 0.92/0.91 [529]~P46(x5292)+E(x5291,f3(x5292))+E(f10(x5293,f11(x5291,x5292),x5292),f11(f10(x5293,x5291,x5292),x5292))
% 0.92/0.91 [540]~P9(x5403)+~P46(x5403)+E(f10(x5401,f11(x5402,x5403),x5403),f11(f10(x5401,x5402,x5403),x5403))
% 0.92/0.91 [564]~P50(x5642)+E(x5641,f3(x5642))+E(f10(f9(x5643,x5642),f9(x5641,x5642),x5642),f9(f10(x5643,x5641,x5642),x5642))
% 0.92/0.91 [565]~P50(x5652)+~P9(x5652)+E(f10(f9(x5651,x5652),f9(x5653,x5652),x5652),f9(f10(x5651,x5653,x5652),x5652))
% 0.92/0.91 [605]~P55(x6052)+~P5(f3(x6052),x6053,x6052)+E(f12(f9(x6051,x6052),x6053,x6052),f9(f12(x6051,x6053,x6052),x6052))
% 0.92/0.91 [813]~P49(x8132)+E(x8131,f3(x8132))+~E(f7(f12(x8133,x8133,x8132),f12(x8131,x8131,x8132),x8132),f3(x8132))
% 0.92/0.91 [814]~P49(x8142)+E(x8141,f3(x8142))+~E(f7(f12(x8141,x8141,x8142),f12(x8143,x8143,x8142),x8142),f3(x8142))
% 0.92/0.91 [924]~P49(x9242)+E(x9241,f3(x9242))+P7(f3(x9242),f7(f12(x9243,x9243,x9242),f12(x9241,x9241,x9242),x9242),x9242)
% 0.92/0.91 [925]~P49(x9252)+E(x9251,f3(x9252))+P7(f3(x9252),f7(f12(x9251,x9251,x9252),f12(x9253,x9253,x9252),x9252),x9252)
% 0.92/0.91 [969]~P49(x9692)+E(x9691,f3(x9692))+~P5(f7(f12(x9693,x9693,x9692),f12(x9691,x9691,x9692),x9692),f3(x9692),x9692)
% 0.92/0.91 [970]~P49(x9702)+E(x9701,f3(x9702))+~P5(f7(f12(x9701,x9701,x9702),f12(x9703,x9703,x9702),x9702),f3(x9702),x9702)
% 0.92/0.91 [471]~P20(x4714)+E(x4711,x4712)+~E(f7(x4713,x4711,x4714),f7(x4713,x4712,x4714))
% 0.92/0.91 [472]~P21(x4724)+E(x4721,x4722)+~E(f7(x4723,x4721,x4724),f7(x4723,x4722,x4724))
% 0.92/0.91 [473]~P14(x4734)+E(x4731,x4732)+~E(f8(x4733,x4733,x4734),f8(x4731,x4732,x4734))
% 0.92/0.91 [474]~P21(x4744)+E(x4741,x4742)+~E(f7(x4741,x4743,x4744),f7(x4742,x4743,x4744))
% 0.92/0.91 [475]~P14(x4753)+E(x4751,x4752)+~E(f8(x4751,x4752,x4753),f8(x4754,x4754,x4753))
% 0.92/0.91 [569]~P11(x5694)+~P5(x5691,x5693,x5694)+P5(x5691,f16(x5692,x5693,x5694),x5694)
% 0.92/0.91 [571]~P11(x5714)+~P5(x5711,x5712,x5714)+P5(x5711,f16(x5712,x5713,x5714),x5714)
% 0.92/0.91 [573]~P11(x5734)+~P7(x5731,x5733,x5734)+P7(x5731,f16(x5732,x5733,x5734),x5734)
% 0.92/0.91 [575]~P11(x5754)+~P7(x5751,x5752,x5754)+P7(x5751,f16(x5752,x5753,x5754),x5754)
% 0.92/0.91 [576]~P41(x5764)+~P6(x5761,x5763,x5764)+P6(x5761,f12(x5762,x5763,x5764),x5764)
% 0.92/0.91 [577]~P41(x5774)+~P6(x5771,x5772,x5774)+P6(x5771,f12(x5772,x5773,x5774),x5774)
% 0.92/0.91 [579]~P11(x5793)+~P5(x5792,x5794,x5793)+P5(f15(x5791,x5792,x5793),x5794,x5793)
% 0.92/0.91 [581]~P11(x5813)+~P5(x5811,x5814,x5813)+P5(f15(x5811,x5812,x5813),x5814,x5813)
% 0.92/0.91 [583]~P11(x5833)+~P7(x5832,x5834,x5833)+P7(f15(x5831,x5832,x5833),x5834,x5833)
% 0.92/0.91 [585]~P11(x5853)+~P7(x5851,x5854,x5853)+P7(f15(x5851,x5852,x5853),x5854,x5853)
% 0.92/0.91 [609]~P11(x6093)+P5(x6091,x6092,x6093)+~P5(x6091,f15(x6094,x6092,x6093),x6093)
% 0.92/0.91 [611]~P11(x6113)+P5(x6111,x6112,x6113)+~P5(x6111,f15(x6112,x6114,x6113),x6113)
% 0.92/0.91 [612]~P11(x6123)+P7(x6121,x6122,x6123)+~P7(x6121,f15(x6124,x6122,x6123),x6123)
% 0.92/0.91 [613]~P11(x6133)+P7(x6131,x6132,x6133)+~P7(x6131,f15(x6132,x6134,x6133),x6133)
% 0.92/0.91 [615]~P11(x6153)+P5(x6151,x6152,x6153)+~P5(f16(x6154,x6151,x6153),x6152,x6153)
% 0.92/0.91 [617]~P11(x6173)+P5(x6171,x6172,x6173)+~P5(f16(x6171,x6174,x6173),x6172,x6173)
% 0.92/0.91 [618]~P11(x6183)+P7(x6181,x6182,x6183)+~P7(f16(x6184,x6181,x6183),x6182,x6183)
% 0.92/0.91 [619]~P11(x6193)+P7(x6191,x6192,x6193)+~P7(f16(x6191,x6194,x6193),x6192,x6193)
% 0.92/0.91 [620]~P41(x6203)+P6(x6201,x6202,x6203)+~P6(f12(x6204,x6201,x6203),x6202,x6203)
% 0.92/0.91 [621]~P41(x6213)+P6(x6211,x6212,x6213)+~P6(f12(x6211,x6214,x6213),x6212,x6213)
% 0.92/0.91 [687]~P28(x6873)+~P5(x6871,x6874,x6873)+P5(f7(x6871,x6872,x6873),f7(x6874,x6872,x6873),x6873)
% 0.92/0.91 [688]~P29(x6883)+~P5(x6881,x6884,x6883)+P5(f7(x6881,x6882,x6883),f7(x6884,x6882,x6883),x6883)
% 0.92/0.91 [689]~P28(x6893)+~P5(x6892,x6894,x6893)+P5(f7(x6891,x6892,x6893),f7(x6891,x6894,x6893),x6893)
% 0.92/0.91 [690]~P29(x6903)+~P5(x6902,x6904,x6903)+P5(f7(x6901,x6902,x6903),f7(x6901,x6904,x6903),x6903)
% 0.92/0.91 [691]~P28(x6913)+~P7(x6911,x6914,x6913)+P7(f7(x6911,x6912,x6913),f7(x6914,x6912,x6913),x6913)
% 0.92/0.91 [692]~P31(x6923)+~P7(x6921,x6924,x6923)+P7(f7(x6921,x6922,x6923),f7(x6924,x6922,x6923),x6923)
% 0.92/0.91 [693]~P28(x6933)+~P7(x6932,x6934,x6933)+P7(f7(x6931,x6932,x6933),f7(x6931,x6934,x6933),x6933)
% 0.92/0.91 [694]~P31(x6943)+~P7(x6942,x6944,x6943)+P7(f7(x6941,x6942,x6943),f7(x6941,x6944,x6943),x6943)
% 0.92/0.91 [695]~P2(x6953)+~P6(x6951,x6954,x6953)+P6(f12(x6951,x6952,x6953),f12(x6954,x6952,x6953),x6953)
% 0.92/0.91 [696]~P2(x6963)+~P6(x6962,x6964,x6963)+P6(f12(x6961,x6962,x6963),f12(x6961,x6964,x6963),x6963)
% 0.92/0.91 [848]~P28(x8483)+P5(x8481,x8482,x8483)+~P5(f7(x8484,x8481,x8483),f7(x8484,x8482,x8483),x8483)
% 0.92/0.91 [849]~P28(x8493)+P5(x8491,x8492,x8493)+~P5(f7(x8491,x8494,x8493),f7(x8492,x8494,x8493),x8493)
% 0.92/0.91 [850]~P28(x8503)+P7(x8501,x8502,x8503)+~P7(f7(x8504,x8501,x8503),f7(x8504,x8502,x8503),x8503)
% 0.92/0.91 [851]~P28(x8513)+P7(x8511,x8512,x8513)+~P7(f7(x8511,x8514,x8513),f7(x8512,x8514,x8513),x8513)
% 0.92/0.91 [594]~P14(x5943)+E(x5941,f11(x5942,x5943))+~E(f7(x5941,f7(x5944,x5942,x5943),x5943),x5944)
% 0.92/0.91 [606]~P4(x6063)+~P6(x6064,x6062,x6063)+E(f6(f6(x6061,x6062,x6063),x6064,x6063),f6(x6061,x6064,x6063))
% 0.92/0.91 [664]~P9(x6643)+~P46(x6643)+E(f10(f12(x6641,x6642,x6643),x6644,x6643),f12(f10(x6641,x6644,x6643),x6642,x6643))
% 0.92/0.91 [666]~P8(x6662)+~E(f6(x6661,x6663,x6662),f6(x6664,x6663,x6662))+E(f6(f11(x6661,x6662),x6663,x6662),f6(f11(x6664,x6662),x6663,x6662))
% 0.92/0.91 [847]~P25(x8474)+~P5(f7(x8471,x8473,x8474),x8472,x8474)+P5(x8471,f7(x8472,f9(x8473,x8474),x8474),x8474)
% 0.92/0.91 [891]~P2(x8913)+~P3(x8913)+E(f7(f12(x8911,x8912,x8913),f12(x8911,x8914,x8913),x8913),f7(f12(x8911,x8914,x8913),f12(x8911,x8912,x8913),x8913))
% 0.92/0.91 [926]~P55(x9264)+P7(x9261,f7(x9262,x9263,x9264),x9264)+~P7(f9(f8(x9261,x9262,x9264),x9264),x9263,x9264)
% 0.92/0.91 [927]~P55(x9273)+P7(f8(x9271,x9272,x9273),x9274,x9273)+~P7(f9(f8(x9274,x9271,x9273),x9273),x9272,x9273)
% 0.92/0.91 [772]~P14(x7723)+E(f7(x7721,x7722,x7723),x7724)+~E(f7(x7721,f7(x7725,x7722,x7723),x7723),f7(x7725,x7724,x7723))
% 0.92/0.91 [892]~P9(x8923)+~P46(x8923)+E(f10(f12(x8921,x8922,x8923),f12(x8924,x8925,x8923),x8923),f12(f10(x8921,x8924,x8923),f10(x8922,x8925,x8923),x8923))
% 0.92/0.91 [964]~P60(x9644)+~E(f7(f12(x9643,x9645,x9644),x9641,x9644),f7(f12(x9642,x9645,x9644),x9646,x9644))+E(x9641,f7(f12(f8(x9642,x9643,x9644),x9645,x9644),x9646,x9644))
% 0.92/0.91 [965]~P60(x9653)+~E(f7(f12(x9651,x9654,x9653),x9655,x9653),f7(f12(x9652,x9654,x9653),x9656,x9653))+E(f7(f12(f8(x9651,x9652,x9653),x9654,x9653),x9655,x9653),x9656)
% 0.92/0.91 [978]~P48(x9784)+~P5(f7(f12(x9783,x9785,x9784),x9781,x9784),f7(f12(x9782,x9785,x9784),x9786,x9784),x9784)+P5(x9781,f7(f12(f8(x9782,x9783,x9784),x9785,x9784),x9786,x9784),x9784)
% 0.92/0.91 [979]~P48(x9794)+~P7(f7(f12(x9793,x9795,x9794),x9791,x9794),f7(f12(x9792,x9795,x9794),x9796,x9794),x9794)+P7(x9791,f7(f12(f8(x9792,x9793,x9794),x9795,x9794),x9796,x9794),x9794)
% 0.92/0.91 [980]~P48(x9803)+~P5(f7(f12(x9801,x9804,x9803),x9805,x9803),f7(f12(x9802,x9804,x9803),x9806,x9803),x9803)+P5(f7(f12(f8(x9801,x9802,x9803),x9804,x9803),x9805,x9803),x9806,x9803)
% 0.92/0.91 [981]~P48(x9813)+~P7(f7(f12(x9811,x9814,x9813),x9815,x9813),f7(f12(x9812,x9814,x9813),x9816,x9813),x9813)+P7(f7(f12(f8(x9811,x9812,x9813),x9814,x9813),x9815,x9813),x9816,x9813)
% 0.92/0.91 [982]~P48(x9823)+P5(f7(f12(x9821,x9822,x9823),x9824,x9823),f7(f12(x9825,x9822,x9823),x9826,x9823),x9823)+~P5(x9824,f7(f12(f8(x9825,x9821,x9823),x9822,x9823),x9826,x9823),x9823)
% 0.92/0.91 [983]~P48(x9833)+P7(f7(f12(x9831,x9832,x9833),x9834,x9833),f7(f12(x9835,x9832,x9833),x9836,x9833),x9833)+~P7(x9834,f7(f12(f8(x9835,x9831,x9833),x9832,x9833),x9836,x9833),x9833)
% 0.92/0.91 [984]~P48(x9843)+P5(f7(f12(x9841,x9842,x9843),x9844,x9843),f7(f12(x9845,x9842,x9843),x9846,x9843),x9843)+~P5(f7(f12(f8(x9841,x9845,x9843),x9842,x9843),x9844,x9843),x9846,x9843)
% 0.92/0.91 [985]~P48(x9853)+P7(f7(f12(x9851,x9852,x9853),x9854,x9853),f7(f12(x9855,x9852,x9853),x9856,x9853),x9853)+~P7(f7(f12(f8(x9851,x9855,x9853),x9852,x9853),x9854,x9853),x9856,x9853)
% 0.92/0.91 [359]~P11(x3592)+~P25(x3592)+P7(x3591,f3(x3592),x3592)+E(f9(x3591,x3592),x3591)
% 0.92/0.91 [407]~P11(x4072)+~P25(x4072)+~P7(x4071,f3(x4072),x4072)+E(f9(x4071,x4072),f11(x4071,x4072))
% 0.92/0.91 [401]P7(x4011,x4012,x4013)+~P11(x4013)+E(x4011,x4012)+P7(x4012,x4011,x4013)
% 0.92/0.91 [402]P7(x4021,x4022,x4023)+~P55(x4023)+E(x4021,x4022)+P7(x4022,x4021,x4023)
% 0.92/0.91 [426]~P11(x4263)+~P5(x4261,x4262,x4263)+E(x4261,x4262)+P7(x4261,x4262,x4263)
% 0.92/0.91 [432]~P32(x4323)+~P5(x4321,x4322,x4323)+E(x4321,x4322)+P7(x4321,x4322,x4323)
% 0.92/0.91 [478]~P5(x4782,x4781,x4783)+~P5(x4781,x4782,x4783)+E(x4781,x4782)+~P32(x4783)
% 0.92/0.91 [514]P7(x5142,x5141,x5143)+~P35(x5143)+~P5(x5142,x5141,x5143)+P5(x5141,x5142,x5143)
% 0.92/0.91 [375]~P2(x3752)+~P3(x3752)+~E(f7(x3753,x3751,x3752),x3753)+E(x3751,f3(x3752))
% 0.92/0.91 [377]~P2(x3773)+~P3(x3773)+E(x3771,x3772)+~E(f8(x3771,x3772,x3773),f3(x3773))
% 0.92/0.91 [378]~P63(x3782)+~E(f12(x3783,x3781,x3782),f3(x3782))+E(x3781,f3(x3782))+E(x3783,f3(x3782))
% 0.92/0.91 [380]~P52(x3802)+~E(f12(x3803,x3801,x3802),f3(x3802))+E(x3801,f3(x3802))+E(x3803,f3(x3802))
% 0.92/0.91 [511]~P2(x5113)+E(x5111,x5112)+~E(f12(x5111,x5111,x5113),f12(x5112,x5112,x5113))+E(x5111,f11(x5112,x5113))
% 0.92/0.91 [602]~P12(x6022)+~P5(x6021,x6023,x6022)+~P5(f11(x6021,x6022),x6023,x6022)+P5(f9(x6021,x6022),x6023,x6022)
% 0.92/0.91 [603]~P55(x6032)+~P7(x6031,x6033,x6032)+~P7(f11(x6031,x6032),x6033,x6032)+P7(f9(x6031,x6032),x6033,x6032)
% 0.92/0.91 [698]~P48(x6981)+~P5(x6983,f3(x6981),x6981)+~P5(x6982,f3(x6981),x6981)+P5(f3(x6981),f12(x6982,x6983,x6981),x6981)
% 0.92/0.91 [699]~P49(x6991)+~P5(x6993,f3(x6991),x6991)+~P5(x6992,f3(x6991),x6991)+P5(f3(x6991),f12(x6992,x6993,x6991),x6991)
% 0.92/0.91 [700]~P50(x7001)+~P5(x7002,f3(x7001),x7001)+~P7(x7003,f3(x7001),x7001)+P5(f3(x7001),f10(x7002,x7003,x7001),x7001)
% 0.92/0.91 [701]~P49(x7011)+~P7(x7013,f3(x7011),x7011)+~P7(x7012,f3(x7011),x7011)+P7(f3(x7011),f12(x7012,x7013,x7011),x7011)
% 0.92/0.91 [702]~P50(x7021)+~P7(x7023,f3(x7021),x7021)+~P7(x7022,f3(x7021),x7021)+P7(f3(x7021),f10(x7022,x7023,x7021),x7021)
% 0.92/0.91 [703]~P48(x7031)+~P5(f3(x7031),x7033,x7031)+~P5(f3(x7031),x7032,x7031)+P5(f3(x7031),f12(x7032,x7033,x7031),x7031)
% 0.92/0.91 [704]~P49(x7041)+~P5(f3(x7041),x7043,x7041)+~P5(f3(x7041),x7042,x7041)+P5(f3(x7041),f12(x7042,x7043,x7041),x7041)
% 0.92/0.91 [705]~P59(x7051)+~P5(f3(x7051),x7053,x7051)+~P5(f3(x7051),x7052,x7051)+P5(f3(x7051),f12(x7052,x7053,x7051),x7051)
% 0.92/0.91 [706]~P30(x7061)+~P5(f3(x7061),x7063,x7061)+~P5(f3(x7061),x7062,x7061)+P5(f3(x7061),f7(x7062,x7063,x7061),x7061)
% 0.92/0.91 [707]~P50(x7071)+~P5(f3(x7071),x7072,x7071)+~P7(f3(x7071),x7073,x7071)+P5(f3(x7071),f10(x7072,x7073,x7071),x7071)
% 0.92/0.91 [708]~P56(x7081)+~P7(f3(x7081),x7083,x7081)+~P7(f3(x7081),x7082,x7081)+P7(f3(x7081),f12(x7082,x7083,x7081),x7081)
% 0.92/0.91 [709]~P30(x7091)+~P5(f3(x7091),x7093,x7091)+~P7(f3(x7091),x7092,x7091)+P7(f3(x7091),f7(x7092,x7093,x7091),x7091)
% 0.92/0.91 [710]~P30(x7101)+~P5(f3(x7101),x7102,x7101)+~P7(f3(x7101),x7103,x7101)+P7(f3(x7101),f7(x7102,x7103,x7101),x7101)
% 0.92/0.91 [711]~P30(x7111)+~P7(f3(x7111),x7113,x7111)+~P7(f3(x7111),x7112,x7111)+P7(f3(x7111),f7(x7112,x7113,x7111),x7111)
% 0.92/0.91 [712]~P50(x7121)+~P7(f3(x7121),x7123,x7121)+~P7(f3(x7121),x7122,x7121)+P7(f3(x7121),f10(x7122,x7123,x7121),x7121)
% 0.92/0.91 [713]~P30(x7133)+~P5(x7132,f3(x7133),x7133)+~P5(x7131,f3(x7133),x7133)+P5(f7(x7131,x7132,x7133),f3(x7133),x7133)
% 0.92/0.91 [714]~P30(x7143)+~P5(x7142,f3(x7143),x7143)+~P7(x7141,f3(x7143),x7143)+P7(f7(x7141,x7142,x7143),f3(x7143),x7143)
% 0.92/0.91 [715]~P30(x7153)+~P5(x7151,f3(x7153),x7153)+~P7(x7152,f3(x7153),x7153)+P7(f7(x7151,x7152,x7153),f3(x7153),x7153)
% 0.92/0.91 [716]~P30(x7163)+~P7(x7162,f3(x7163),x7163)+~P7(x7161,f3(x7163),x7163)+P7(f7(x7161,x7162,x7163),f3(x7163),x7163)
% 0.92/0.91 [717]~P49(x7173)+~P5(x7172,f3(x7173),x7173)+~P5(f3(x7173),x7171,x7173)+P5(f12(x7171,x7172,x7173),f3(x7173),x7173)
% 0.92/0.91 [718]~P49(x7183)+~P5(x7181,f3(x7183),x7183)+~P5(f3(x7183),x7182,x7183)+P5(f12(x7181,x7182,x7183),f3(x7183),x7183)
% 0.92/0.91 [720]~P59(x7203)+~P5(x7202,f3(x7203),x7203)+~P5(f3(x7203),x7201,x7203)+P5(f12(x7201,x7202,x7203),f3(x7203),x7203)
% 0.92/0.91 [723]~P59(x7233)+~P5(x7231,f3(x7233),x7233)+~P5(f3(x7233),x7232,x7233)+P5(f12(x7231,x7232,x7233),f3(x7233),x7233)
% 0.92/0.91 [724]~P50(x7243)+~P5(x7241,f3(x7243),x7243)+~P7(f3(x7243),x7242,x7243)+P5(f10(x7241,x7242,x7243),f3(x7243),x7243)
% 0.92/0.91 [725]~P50(x7253)+~P7(x7252,f3(x7253),x7253)+~P5(f3(x7253),x7251,x7253)+P5(f10(x7251,x7252,x7253),f3(x7253),x7253)
% 0.92/0.91 [726]~P56(x7263)+~P7(x7262,f3(x7263),x7263)+~P7(f3(x7263),x7261,x7263)+P7(f12(x7261,x7262,x7263),f3(x7263),x7263)
% 0.92/0.91 [728]~P56(x7283)+~P7(x7281,f3(x7283),x7283)+~P7(f3(x7283),x7282,x7283)+P7(f12(x7281,x7282,x7283),f3(x7283),x7283)
% 0.92/0.91 [729]~P50(x7293)+~P7(x7292,f3(x7293),x7293)+~P7(f3(x7293),x7291,x7293)+P7(f10(x7291,x7292,x7293),f3(x7293),x7293)
% 0.92/0.91 [730]~P50(x7303)+~P7(x7301,f3(x7303),x7303)+~P7(f3(x7303),x7302,x7303)+P7(f10(x7301,x7302,x7303),f3(x7303),x7303)
% 0.92/0.91 [744]~P49(x7442)+~P5(f12(x7443,x7441,x7442),f3(x7442),x7442)+P5(x7441,f3(x7442),x7442)+P5(x7443,f3(x7442),x7442)
% 0.92/0.91 [745]~P49(x7452)+~P5(f3(x7452),f12(x7453,x7451,x7452),x7452)+P5(x7451,f3(x7452),x7452)+P5(f3(x7452),x7453,x7452)
% 0.92/0.91 [746]~P49(x7462)+~P5(f3(x7462),f12(x7461,x7463,x7462),x7462)+P5(x7461,f3(x7462),x7462)+P5(f3(x7462),x7463,x7462)
% 0.92/0.91 [747]~P49(x7472)+~P5(f3(x7472),f12(x7473,x7471,x7472),x7472)+P5(x7471,f3(x7472),x7472)+P5(f3(x7472),x7471,x7472)
% 0.92/0.91 [748]~P49(x7482)+~P5(f3(x7482),f12(x7481,x7483,x7482),x7482)+P5(x7481,f3(x7482),x7482)+P5(f3(x7482),x7481,x7482)
% 0.92/0.91 [749]~P49(x7492)+~P5(f12(x7493,x7491,x7492),f3(x7492),x7492)+P5(x7491,f3(x7492),x7492)+P5(f3(x7492),x7491,x7492)
% 0.92/0.91 [750]~P49(x7502)+~P5(f12(x7501,x7503,x7502),f3(x7502),x7502)+P5(x7501,f3(x7502),x7502)+P5(f3(x7502),x7501,x7502)
% 0.92/0.91 [751]~P49(x7511)+~P5(f12(x7512,x7513,x7511),f3(x7511),x7511)+P5(f3(x7511),x7512,x7511)+P5(f3(x7511),x7513,x7511)
% 0.92/0.91 [779]~P56(x7791)+~P7(f3(x7791),f12(x7793,x7792,x7791),x7791)+P7(f3(x7791),x7792,x7791)+~P7(f3(x7791),x7793,x7791)
% 0.92/0.91 [780]~P56(x7801)+~P7(f3(x7801),f12(x7802,x7803,x7801),x7801)+P7(f3(x7801),x7802,x7801)+~P7(f3(x7801),x7803,x7801)
% 0.92/0.91 [481]~P9(x4812)+~P46(x4812)+E(x4811,f3(x4812))+E(f12(f10(x4813,x4811,x4812),x4811,x4812),x4813)
% 0.92/0.91 [607]~P50(x6072)+~P9(x6072)+~P7(f3(x6072),x6073,x6072)+E(f10(f9(x6071,x6072),x6073,x6072),f9(f10(x6071,x6073,x6072),x6072))
% 0.92/0.91 [775]~P61(x7752)+~P5(x7753,f3(x7752),x7752)+~P5(x7751,f3(x7752),x7752)+E(f12(f9(x7751,x7752),f9(x7753,x7752),x7752),f9(f12(x7751,x7753,x7752),x7752))
% 0.92/0.91 [776]~P61(x7762)+~P5(x7763,f3(x7762),x7762)+~P5(f3(x7762),x7761,x7762)+E(f12(f9(x7761,x7762),f9(x7763,x7762),x7762),f9(f12(x7761,x7763,x7762),x7762))
% 0.92/0.91 [777]~P61(x7772)+~P5(x7771,f3(x7772),x7772)+~P5(f3(x7772),x7773,x7772)+E(f12(f9(x7771,x7772),f9(x7773,x7772),x7772),f9(f12(x7771,x7773,x7772),x7772))
% 0.92/0.91 [778]~P61(x7782)+~P5(f3(x7782),x7783,x7782)+~P5(f3(x7782),x7781,x7782)+E(f12(f9(x7781,x7782),f9(x7783,x7782),x7782),f9(f12(x7781,x7783,x7782),x7782))
% 0.92/0.91 [555]~P32(x5553)+~P5(x5551,x5554,x5553)+P5(x5551,x5552,x5553)+~P5(x5554,x5552,x5553)
% 0.92/0.91 [556]~P35(x5563)+~P5(x5561,x5564,x5563)+P5(x5561,x5562,x5563)+~P5(x5564,x5562,x5563)
% 0.92/0.91 [557]~P32(x5573)+~P7(x5571,x5574,x5573)+P7(x5571,x5572,x5573)+~P5(x5574,x5572,x5573)
% 0.92/0.91 [558]~P32(x5583)+~P7(x5584,x5582,x5583)+P7(x5581,x5582,x5583)+~P5(x5581,x5584,x5583)
% 0.92/0.91 [559]~P32(x5593)+~P7(x5591,x5594,x5593)+P7(x5591,x5592,x5593)+~P7(x5594,x5592,x5593)
% 0.92/0.91 [560]~P35(x5603)+~P7(x5601,x5604,x5603)+P7(x5601,x5602,x5603)+~P5(x5604,x5602,x5603)
% 0.92/0.91 [561]~P35(x5613)+~P7(x5614,x5612,x5613)+P7(x5611,x5612,x5613)+~P5(x5611,x5614,x5613)
% 0.92/0.91 [562]~P35(x5623)+~P7(x5621,x5624,x5623)+P7(x5621,x5622,x5623)+~P7(x5624,x5622,x5623)
% 0.92/0.91 [563]~P41(x5633)+~P6(x5631,x5634,x5633)+P6(x5631,x5632,x5633)+~P6(x5634,x5632,x5633)
% 0.92/0.91 [490]~P38(x4904)+E(x4901,x4902)+~E(f18(x4901,x4903,x4904),f18(x4902,x4903,x4904))+E(x4903,f3(x4904))
% 0.92/0.91 [491]~P2(x4914)+~P3(x4914)+E(x4911,x4912)+~E(f7(x4913,x4911,x4914),f7(x4913,x4912,x4914))
% 0.92/0.91 [669]~P11(x6694)+~P5(x6691,x6693,x6694)+~P5(x6691,x6692,x6694)+P5(x6691,f15(x6692,x6693,x6694),x6694)
% 0.92/0.91 [670]~P11(x6704)+~P7(x6701,x6703,x6704)+~P7(x6701,x6702,x6704)+P7(x6701,f15(x6702,x6703,x6704),x6704)
% 0.92/0.91 [671]~P41(x6714)+~P6(x6711,x6713,x6714)+~P6(x6711,x6712,x6714)+P6(x6711,f7(x6712,x6713,x6714),x6714)
% 0.92/0.91 [673]~P4(x6734)+~P6(x6731,x6733,x6734)+~P6(x6731,x6732,x6734)+P6(x6731,f6(x6732,x6733,x6734),x6734)
% 0.92/0.91 [674]~P43(x6744)+~P6(x6741,x6743,x6744)+~P6(x6741,x6742,x6744)+P6(x6741,f8(x6742,x6743,x6744),x6744)
% 0.92/0.91 [677]~P11(x6773)+~P5(x6772,x6774,x6773)+~P5(x6771,x6774,x6773)+P5(f16(x6771,x6772,x6773),x6774,x6773)
% 0.92/0.91 [678]~P11(x6783)+~P7(x6782,x6784,x6783)+~P7(x6781,x6784,x6783)+P7(f16(x6781,x6782,x6783),x6784,x6783)
% 0.92/0.91 [681]~P57(x6814)+~P7(x6811,x6813,x6814)+~P7(f3(x6814),x6812,x6814)+P7(x6811,f7(x6812,x6813,x6814),x6814)
% 0.92/0.91 [731]~P11(x7313)+P5(x7311,x7312,x7313)+P5(x7311,x7314,x7313)+~P5(x7311,f16(x7312,x7314,x7313),x7313)
% 0.92/0.91 [732]~P11(x7323)+P7(x7321,x7322,x7323)+P7(x7321,x7324,x7323)+~P7(x7321,f16(x7322,x7324,x7323),x7323)
% 0.92/0.91 [733]~P11(x7333)+P5(x7331,x7332,x7333)+P5(x7334,x7332,x7333)+~P5(f15(x7331,x7334,x7333),x7332,x7333)
% 0.92/0.91 [734]~P11(x7343)+P7(x7341,x7342,x7343)+P7(x7344,x7342,x7343)+~P7(f15(x7341,x7344,x7343),x7342,x7343)
% 0.92/0.91 [774]~P4(x7743)+P6(x7741,x7742,x7743)+~P6(x7741,x7744,x7743)+~P6(x7741,f6(x7742,x7744,x7743),x7743)
% 0.92/0.91 [825]~P48(x8253)+~P5(x8254,x8251,x8253)+~P5(x8252,f3(x8253),x8253)+P5(f12(x8251,x8252,x8253),f12(x8254,x8252,x8253),x8253)
% 0.92/0.91 [826]~P48(x8263)+~P5(x8264,x8262,x8263)+~P5(x8261,f3(x8263),x8263)+P5(f12(x8261,x8262,x8263),f12(x8261,x8264,x8263),x8263)
% 0.92/0.91 [827]~P49(x8273)+~P5(x8274,x8272,x8273)+~P7(x8271,f3(x8273),x8273)+P5(f12(x8271,x8272,x8273),f12(x8271,x8274,x8273),x8273)
% 0.92/0.91 [829]~P49(x8293)+~P7(x8294,x8291,x8293)+~P7(x8292,f3(x8293),x8293)+P7(f12(x8291,x8292,x8293),f12(x8294,x8292,x8293),x8293)
% 0.92/0.91 [832]~P49(x8323)+~P7(x8324,x8322,x8323)+~P7(x8321,f3(x8323),x8323)+P7(f12(x8321,x8322,x8323),f12(x8321,x8324,x8323),x8323)
% 0.92/0.91 [833]~P50(x8333)+~P7(x8334,x8331,x8333)+~P7(x8332,f3(x8333),x8333)+P7(f10(x8331,x8332,x8333),f10(x8334,x8332,x8333),x8333)
% 0.92/0.91 [834]~P1(x8343)+~P5(x8341,x8344,x8343)+~P5(f3(x8343),x8342,x8343)+P5(f12(x8341,x8342,x8343),f12(x8344,x8342,x8343),x8343)
% 0.92/0.91 [835]~P1(x8353)+~P5(x8352,x8354,x8353)+~P5(f3(x8353),x8351,x8353)+P5(f12(x8351,x8352,x8353),f12(x8351,x8354,x8353),x8353)
% 0.92/0.91 [836]~P49(x8363)+~P5(x8362,x8364,x8363)+~P7(f3(x8363),x8361,x8363)+P5(f12(x8361,x8362,x8363),f12(x8361,x8364,x8363),x8363)
% 0.92/0.91 [837]~P51(x8373)+~P5(x8372,x8374,x8373)+~P5(f3(x8373),x8371,x8373)+P5(f12(x8371,x8372,x8373),f12(x8371,x8374,x8373),x8373)
% 0.92/0.91 [838]~P49(x8383)+~P7(x8381,x8384,x8383)+~P7(f3(x8383),x8382,x8383)+P7(f12(x8381,x8382,x8383),f12(x8384,x8382,x8383),x8383)
% 0.92/0.91 [839]~P56(x8393)+~P7(x8391,x8394,x8393)+~P7(f3(x8393),x8392,x8393)+P7(f12(x8391,x8392,x8393),f12(x8394,x8392,x8393),x8393)
% 0.92/0.91 [841]~P49(x8413)+~P7(x8412,x8414,x8413)+~P7(f3(x8413),x8411,x8413)+P7(f12(x8411,x8412,x8413),f12(x8411,x8414,x8413),x8413)
% 0.92/0.91 [842]~P56(x8423)+~P7(x8422,x8424,x8423)+~P7(f3(x8423),x8421,x8423)+P7(f12(x8421,x8422,x8423),f12(x8421,x8424,x8423),x8423)
% 0.92/0.91 [843]~P54(x8433)+~P7(x8432,x8434,x8433)+~P7(f3(x8433),x8431,x8433)+P7(f12(x8431,x8432,x8433),f12(x8431,x8434,x8433),x8433)
% 0.92/0.91 [844]~P50(x8443)+~P7(x8441,x8444,x8443)+~P7(f3(x8443),x8442,x8443)+P7(f10(x8441,x8442,x8443),f10(x8444,x8442,x8443),x8443)
% 0.92/0.91 [852]~P2(x8522)+P6(x8523,x8524,x8522)+~P6(f12(x8521,x8523,x8522),f12(x8521,x8524,x8522),x8522)+E(x8521,f3(x8522))
% 0.92/0.91 [853]~P2(x8532)+P6(x8533,x8534,x8532)+~P6(f12(x8533,x8531,x8532),f12(x8534,x8531,x8532),x8532)+E(x8531,f3(x8532))
% 0.92/0.91 [859]~P50(x8594)+~P7(f3(x8594),x8593,x8594)+~P5(f12(x8591,x8593,x8594),x8592,x8594)+P5(x8591,f10(x8592,x8593,x8594),x8594)
% 0.92/0.91 [860]~P50(x8604)+~P7(f3(x8604),x8603,x8604)+~P7(f12(x8601,x8603,x8604),x8602,x8604)+P7(x8601,f10(x8602,x8603,x8604),x8604)
% 0.92/0.91 [861]~P50(x8613)+~P7(f3(x8613),x8612,x8613)+~P5(x8611,f12(x8614,x8612,x8613),x8613)+P5(f10(x8611,x8612,x8613),x8614,x8613)
% 0.92/0.91 [862]~P50(x8623)+~P7(f3(x8623),x8622,x8623)+~P7(x8621,f12(x8624,x8622,x8623),x8623)+P7(f10(x8621,x8622,x8623),x8624,x8623)
% 0.92/0.91 [872]P7(x8722,x8721,x8723)+~P49(x8723)+P7(x8721,x8722,x8723)+~P7(f12(x8724,x8721,x8723),f12(x8724,x8722,x8723),x8723)
% 0.92/0.91 [873]P7(x8732,x8731,x8733)+~P49(x8733)+P7(x8731,x8732,x8733)+~P7(f12(x8731,x8734,x8733),f12(x8732,x8734,x8733),x8733)
% 0.92/0.91 [886]~P49(x8863)+P7(x8861,x8862,x8863)+~P7(f12(x8861,x8864,x8863),f12(x8862,x8864,x8863),x8863)+P7(x8864,f3(x8863),x8863)
% 0.92/0.91 [887]~P49(x8873)+P7(x8871,x8872,x8873)+~P7(f12(x8874,x8871,x8873),f12(x8874,x8872,x8873),x8873)+P7(x8874,f3(x8873),x8873)
% 0.92/0.91 [888]~P49(x8883)+P7(x8881,x8882,x8883)+~P7(f12(x8884,x8882,x8883),f12(x8884,x8881,x8883),x8883)+P7(f3(x8883),x8884,x8883)
% 0.92/0.91 [889]~P49(x8893)+P7(x8891,x8892,x8893)+~P7(f12(x8892,x8894,x8893),f12(x8891,x8894,x8893),x8893)+P7(f3(x8893),x8894,x8893)
% 0.92/0.91 [893]~P49(x8932)+~P7(f12(x8933,x8931,x8932),f12(x8934,x8931,x8932),x8932)+P7(x8931,f3(x8932),x8932)+P7(f3(x8932),x8931,x8932)
% 0.92/0.91 [894]~P49(x8942)+~P7(f12(x8941,x8943,x8942),f12(x8941,x8944,x8942),x8942)+P7(x8941,f3(x8942),x8942)+P7(f3(x8942),x8941,x8942)
% 0.92/0.91 [897]~P49(x8973)+P5(x8971,x8972,x8973)+~P5(f12(x8974,x8972,x8973),f12(x8974,x8971,x8973),x8973)+~P7(x8974,f3(x8973),x8973)
% 0.92/0.91 [898]~P49(x8983)+P7(x8981,x8982,x8983)+~P7(f12(x8984,x8982,x8983),f12(x8984,x8981,x8983),x8983)+~P7(x8984,f3(x8983),x8983)
% 0.92/0.91 [899]~P49(x8993)+P5(x8991,x8992,x8993)+~P5(f12(x8994,x8991,x8993),f12(x8994,x8992,x8993),x8993)+~P7(f3(x8993),x8994,x8993)
% 0.92/0.91 [900]~P56(x9003)+P5(x9001,x9002,x9003)+~P5(f12(x9004,x9001,x9003),f12(x9004,x9002,x9003),x9003)+~P7(f3(x9003),x9004,x9003)
% 0.92/0.91 [901]~P56(x9013)+P5(x9011,x9012,x9013)+~P5(f12(x9011,x9014,x9013),f12(x9012,x9014,x9013),x9013)+~P7(f3(x9013),x9014,x9013)
% 0.92/0.91 [902]~P49(x9023)+P7(x9021,x9022,x9023)+~P7(f12(x9024,x9021,x9023),f12(x9024,x9022,x9023),x9023)+~P7(f3(x9023),x9024,x9023)
% 0.92/0.91 [903]~P56(x9033)+P7(x9031,x9032,x9033)+~P7(f12(x9034,x9031,x9033),f12(x9034,x9032,x9033),x9033)+~P5(f3(x9033),x9034,x9033)
% 0.92/0.91 [904]~P56(x9043)+P7(x9041,x9042,x9043)+~P7(f12(x9041,x9044,x9043),f12(x9042,x9044,x9043),x9043)+~P5(f3(x9043),x9044,x9043)
% 0.92/0.91 [905]~P58(x9053)+P7(x9051,x9052,x9053)+~P7(f12(x9054,x9051,x9053),f12(x9054,x9052,x9053),x9053)+~P5(f3(x9053),x9054,x9053)
% 0.92/0.91 [906]~P58(x9063)+P7(x9061,x9062,x9063)+~P7(f12(x9061,x9064,x9063),f12(x9062,x9064,x9063),x9063)+~P5(f3(x9063),x9064,x9063)
% 0.92/0.91 [679]~P9(x6792)+~P46(x6792)+E(x6791,f3(x6792))+E(f10(f12(x6793,x6791,x6792),f12(x6794,x6791,x6792),x6792),f10(x6793,x6794,x6792))
% 0.92/0.91 [680]~P9(x6802)+~P46(x6802)+E(x6801,f3(x6802))+E(f10(f12(x6801,x6803,x6802),f12(x6801,x6804,x6802),x6802),f10(x6803,x6804,x6802))
% 0.92/0.91 [960]~P55(x9603)+~P7(x9601,f7(x9602,x9604,x9603),x9603)+~P7(f8(x9602,x9604,x9603),x9601,x9603)+P7(f9(f8(x9601,x9602,x9603),x9603),x9604,x9603)
% 0.92/0.91 [895]~P9(x8952)+~P46(x8952)+E(x8951,f3(x8952))+E(f10(f7(x8953,f12(x8954,x8951,x8952),x8952),x8951,x8952),f7(x8954,f10(x8953,x8951,x8952),x8952))
% 0.92/0.91 [896]~P9(x8962)+~P46(x8962)+E(x8961,f3(x8962))+E(f10(f7(x8963,f12(x8964,x8961,x8962),x8962),x8961,x8962),f7(f10(x8963,x8961,x8962),x8964,x8962))
% 0.92/0.91 [622]~P24(x6223)+~P5(x6225,x6224,x6223)+P5(x6221,x6222,x6223)+~E(f8(x6224,x6225,x6223),f8(x6222,x6221,x6223))
% 0.92/0.91 [623]~P24(x6233)+~P5(x6235,x6234,x6233)+P5(x6231,x6232,x6233)+~E(f8(x6232,x6231,x6233),f8(x6234,x6235,x6233))
% 0.92/0.91 [624]~P24(x6243)+~P7(x6244,x6245,x6243)+P7(x6241,x6242,x6243)+~E(f8(x6244,x6245,x6243),f8(x6241,x6242,x6243))
% 0.92/0.91 [625]~P24(x6253)+~P7(x6254,x6255,x6253)+P7(x6251,x6252,x6253)+~E(f8(x6251,x6252,x6253),f8(x6254,x6255,x6253))
% 0.92/0.91 [815]~P29(x8153)+~P5(x8152,x8155,x8153)+~P5(x8151,x8154,x8153)+P5(f7(x8151,x8152,x8153),f7(x8154,x8155,x8153),x8153)
% 0.92/0.91 [816]~P31(x8163)+~P5(x8162,x8165,x8163)+~P7(x8161,x8164,x8163)+P7(f7(x8161,x8162,x8163),f7(x8164,x8165,x8163),x8163)
% 0.92/0.91 [817]~P31(x8173)+~P5(x8171,x8174,x8173)+~P7(x8172,x8175,x8173)+P7(f7(x8171,x8172,x8173),f7(x8174,x8175,x8173),x8173)
% 0.92/0.91 [818]~P31(x8183)+~P7(x8182,x8185,x8183)+~P7(x8181,x8184,x8183)+P7(f7(x8181,x8182,x8183),f7(x8184,x8185,x8183),x8183)
% 0.92/0.91 [819]~P41(x8193)+~P6(x8192,x8195,x8193)+~P6(x8191,x8194,x8193)+P6(f12(x8191,x8192,x8193),f12(x8194,x8195,x8193),x8193)
% 0.92/0.91 [854]~P24(x8544)+~P5(x8545,x8543,x8544)+~P5(x8541,f7(x8542,x8545,x8544),x8544)+P5(x8541,f7(x8542,x8543,x8544),x8544)
% 0.92/0.91 [928]~P55(x9282)+~P7(f9(x9281,x9282),x9284,x9282)+~P7(f9(x9283,x9282),x9285,x9282)+P7(f12(f9(x9281,x9282),f9(x9283,x9282),x9282),f12(x9284,x9285,x9282),x9282)
% 0.92/0.91 [971]~P46(x9712)+E(x9711,f3(x9712))+E(x9713,f3(x9712))+E(f10(f7(f12(x9714,x9711,x9712),f12(x9715,x9713,x9712),x9712),f12(x9713,x9711,x9712),x9712),f7(f10(x9714,x9713,x9712),f10(x9715,x9711,x9712),x9712))
% 0.92/0.91 [972]~P46(x9722)+E(x9721,f3(x9722))+E(x9723,f3(x9722))+E(f10(f8(f12(x9724,x9721,x9722),f12(x9725,x9723,x9722),x9722),f12(x9723,x9721,x9722),x9722),f8(f10(x9724,x9723,x9722),f10(x9725,x9721,x9722),x9722))
% 0.92/0.91 [940]~P4(x9403)+~E(f6(x9401,x9404,x9403),f6(x9405,x9404,x9403))+~E(f6(x9402,x9404,x9403),f6(x9406,x9404,x9403))+E(f6(f12(x9401,x9402,x9403),x9404,x9403),f6(f12(x9405,x9406,x9403),x9404,x9403))
% 0.92/0.91 [941]~P4(x9413)+~E(f6(x9411,x9414,x9413),f6(x9415,x9414,x9413))+~E(f6(x9412,x9414,x9413),f6(x9416,x9414,x9413))+E(f6(f7(x9411,x9412,x9413),x9414,x9413),f6(f7(x9415,x9416,x9413),x9414,x9413))
% 0.92/0.91 [942]~P8(x9423)+~E(f6(x9421,x9424,x9423),f6(x9425,x9424,x9423))+~E(f6(x9422,x9424,x9423),f6(x9426,x9424,x9423))+E(f6(f8(x9421,x9422,x9423),x9424,x9423),f6(f8(x9425,x9426,x9423),x9424,x9423))
% 0.92/0.91 [595]~P30(x5952)+~P5(f3(x5952),x5951,x5952)+~P5(f3(x5952),x5953,x5952)+~E(f7(x5953,x5951,x5952),f3(x5952))+E(x5951,f3(x5952))
% 0.92/0.91 [596]~P30(x5962)+~P5(f3(x5962),x5963,x5962)+~P5(f3(x5962),x5961,x5962)+~E(f7(x5961,x5963,x5962),f3(x5962))+E(x5961,f3(x5962))
% 0.92/0.91 [735]~P50(x7351)+~P9(x7351)+~P5(x7353,f3(x7351),x7351)+~P5(x7352,f3(x7351),x7351)+P5(f3(x7351),f10(x7352,x7353,x7351),x7351)
% 0.92/0.91 [737]~P50(x7371)+~P9(x7371)+~P5(f3(x7371),x7373,x7371)+~P5(f3(x7371),x7372,x7371)+P5(f3(x7371),f10(x7372,x7373,x7371),x7371)
% 0.92/0.91 [739]~P50(x7393)+~P9(x7393)+~P5(x7392,f3(x7393),x7393)+~P5(f3(x7393),x7391,x7393)+P5(f10(x7391,x7392,x7393),f3(x7393),x7393)
% 0.92/0.91 [740]~P50(x7403)+~P9(x7403)+~P5(x7401,f3(x7403),x7403)+~P5(f3(x7403),x7402,x7403)+P5(f10(x7401,x7402,x7403),f3(x7403),x7403)
% 0.92/0.91 [756]~P50(x7562)+~P9(x7562)+~P5(f10(x7563,x7561,x7562),f3(x7562),x7562)+P5(x7561,f3(x7562),x7562)+P5(x7563,f3(x7562),x7562)
% 0.92/0.91 [757]~P50(x7572)+~P9(x7572)+~P7(f10(x7573,x7571,x7572),f3(x7572),x7572)+P7(x7571,f3(x7572),x7572)+P7(x7573,f3(x7572),x7572)
% 0.92/0.91 [758]~P50(x7582)+~P9(x7582)+~P5(f3(x7582),f10(x7583,x7581,x7582),x7582)+P5(x7581,f3(x7582),x7582)+P5(f3(x7582),x7583,x7582)
% 0.92/0.91 [759]~P50(x7592)+~P9(x7592)+~P5(f3(x7592),f10(x7591,x7593,x7592),x7592)+P5(x7591,f3(x7592),x7592)+P5(f3(x7592),x7593,x7592)
% 0.92/0.91 [760]~P50(x7602)+~P9(x7602)+~P5(f3(x7602),f10(x7603,x7601,x7602),x7602)+P5(x7601,f3(x7602),x7602)+P5(f3(x7602),x7601,x7602)
% 0.92/0.91 [761]~P50(x7612)+~P9(x7612)+~P5(f3(x7612),f10(x7611,x7613,x7612),x7612)+P5(x7611,f3(x7612),x7612)+P5(f3(x7612),x7611,x7612)
% 0.92/0.91 [762]~P50(x7622)+~P9(x7622)+~P7(f3(x7622),f10(x7623,x7621,x7622),x7622)+P7(x7621,f3(x7622),x7622)+P7(f3(x7622),x7623,x7622)
% 0.92/0.91 [763]~P50(x7632)+~P9(x7632)+~P7(f3(x7632),f10(x7631,x7633,x7632),x7632)+P7(x7631,f3(x7632),x7632)+P7(f3(x7632),x7633,x7632)
% 0.92/0.91 [764]~P50(x7642)+~P9(x7642)+~P7(f3(x7642),f10(x7643,x7641,x7642),x7642)+P7(x7641,f3(x7642),x7642)+P7(f3(x7642),x7641,x7642)
% 0.92/0.91 [765]~P50(x7652)+~P9(x7652)+~P7(f3(x7652),f10(x7651,x7653,x7652),x7652)+P7(x7651,f3(x7652),x7652)+P7(f3(x7652),x7651,x7652)
% 0.92/0.91 [766]~P50(x7662)+~P9(x7662)+~P5(f10(x7663,x7661,x7662),f3(x7662),x7662)+P5(x7661,f3(x7662),x7662)+P5(f3(x7662),x7661,x7662)
% 0.92/0.91 [767]~P50(x7672)+~P9(x7672)+~P5(f10(x7671,x7673,x7672),f3(x7672),x7672)+P5(x7671,f3(x7672),x7672)+P5(f3(x7672),x7671,x7672)
% 0.92/0.91 [768]~P50(x7682)+~P9(x7682)+~P7(f10(x7683,x7681,x7682),f3(x7682),x7682)+P7(x7681,f3(x7682),x7682)+P7(f3(x7682),x7681,x7682)
% 0.92/0.91 [769]~P50(x7692)+~P9(x7692)+~P7(f10(x7691,x7693,x7692),f3(x7692),x7692)+P7(x7691,f3(x7692),x7692)+P7(f3(x7692),x7691,x7692)
% 0.92/0.91 [770]~P50(x7701)+~P9(x7701)+~P5(f10(x7702,x7703,x7701),f3(x7701),x7701)+P5(f3(x7701),x7702,x7701)+P5(f3(x7701),x7703,x7701)
% 0.92/0.91 [771]~P50(x7711)+~P9(x7711)+~P7(f10(x7712,x7713,x7711),f3(x7711),x7711)+P7(f3(x7711),x7712,x7711)+P7(f3(x7711),x7713,x7711)
% 0.92/0.91 [683]~P28(x6834)+~P23(x6834)+~P5(x6831,x6833,x6834)+~P5(f3(x6834),x6832,x6834)+P5(x6831,f7(x6832,x6833,x6834),x6834)
% 0.92/0.91 [684]~P28(x6844)+~P23(x6844)+~P5(x6841,x6842,x6844)+~P5(f3(x6844),x6843,x6844)+P5(x6841,f7(x6842,x6843,x6844),x6844)
% 0.92/0.91 [685]~P28(x6854)+~P23(x6854)+~P5(x6851,x6853,x6854)+~P7(f3(x6854),x6852,x6854)+P7(x6851,f7(x6852,x6853,x6854),x6854)
% 0.92/0.91 [686]~P28(x6864)+~P23(x6864)+~P7(x6861,x6863,x6864)+~P5(f3(x6864),x6862,x6864)+P7(x6861,f7(x6862,x6863,x6864),x6864)
% 0.92/0.91 [845]~P50(x8453)+~P9(x8453)+~P5(x8454,x8451,x8453)+~P5(x8452,f3(x8453),x8453)+P5(f10(x8451,x8452,x8453),f10(x8454,x8452,x8453),x8453)
% 0.92/0.91 [846]~P50(x8463)+~P9(x8463)+~P5(x8461,x8464,x8463)+~P5(f3(x8463),x8462,x8463)+P5(f10(x8461,x8462,x8463),f10(x8464,x8462,x8463),x8463)
% 0.92/0.91 [863]~P50(x8634)+~P9(x8634)+~P7(f3(x8634),x8633,x8634)+~P5(f10(x8631,x8633,x8634),x8632,x8634)+P5(x8631,f12(x8632,x8633,x8634),x8634)
% 0.92/0.91 [865]~P50(x8654)+~P9(x8654)+~P7(f3(x8654),x8653,x8654)+~P7(f10(x8651,x8653,x8654),x8652,x8654)+P7(x8651,f12(x8652,x8653,x8654),x8654)
% 0.92/0.91 [867]~P50(x8673)+~P9(x8673)+~P7(f3(x8673),x8672,x8673)+~P5(x8671,f10(x8674,x8672,x8673),x8673)+P5(f12(x8671,x8672,x8673),x8674,x8673)
% 0.92/0.91 [869]~P50(x8693)+~P9(x8693)+~P7(f3(x8693),x8692,x8693)+~P7(x8691,f10(x8694,x8692,x8693),x8693)+P7(f12(x8691,x8692,x8693),x8694,x8693)
% 0.92/0.91 [944]~P50(x9443)+~P7(x9442,x9444,x9443)+~P7(x9441,f3(x9443),x9443)+~P7(f3(x9443),f12(x9442,x9444,x9443),x9443)+P7(f10(x9441,x9442,x9443),f10(x9441,x9444,x9443),x9443)
% 0.92/0.91 [945]~P50(x9453)+~P5(x9454,x9452,x9453)+~P5(f3(x9453),x9451,x9453)+~P7(f3(x9453),f12(x9452,x9454,x9453),x9453)+P5(f10(x9451,x9452,x9453),f10(x9451,x9454,x9453),x9453)
% 0.92/0.91 [946]~P50(x9463)+~P7(x9464,x9462,x9463)+~P7(f3(x9463),x9461,x9463)+~P7(f3(x9463),f12(x9462,x9464,x9463),x9463)+P7(f10(x9461,x9462,x9463),f10(x9461,x9464,x9463),x9463)
% 0.92/0.91 [597]~P46(x5972)+~E(f10(x5974,x5973,x5972),f10(x5975,x5971,x5972))+E(f12(x5974,x5971,x5972),f12(x5975,x5973,x5972))+E(x5971,f3(x5972))+E(x5973,f3(x5972))
% 0.92/0.91 [598]~P46(x5982)+~E(f12(x5984,x5983,x5982),f12(x5985,x5981,x5982))+E(f10(x5984,x5981,x5982),f10(x5985,x5983,x5982))+E(x5981,f3(x5982))+E(x5983,f3(x5982))
% 0.92/0.91 [871]~P2(x8714)+~P3(x8714)+E(x8711,x8712)+E(x8713,f3(x8714))+~E(f7(x8715,f12(x8713,x8711,x8714),x8714),f7(x8715,f12(x8713,x8712,x8714),x8714))
% 0.92/0.91 [962]~P2(x9625)+~P3(x9625)+E(x9621,x9622)+E(x9623,x9624)+~E(f7(f12(x9623,x9621,x9625),f12(x9624,x9622,x9625),x9625),f7(f12(x9623,x9622,x9625),f12(x9624,x9621,x9625),x9625))
% 0.92/0.91 [976]~P45(x9765)+~P10(x9765)+~P6(x9761,x9764,x9765)+~P6(x9761,f7(x9762,x9766,x9765),x9765)+P6(x9761,f7(f8(x9762,f12(x9763,x9764,x9765),x9765),x9766,x9765),x9765)
% 0.92/0.91 [977]~P45(x9774)+~P10(x9774)+~P6(x9771,x9775,x9774)+P6(x9771,f7(x9772,x9773,x9774),x9774)+~P6(x9771,f7(f8(x9772,f12(x9776,x9775,x9774),x9774),x9773,x9774),x9774)
% 0.92/0.91 [752]~P50(x7522)+~P9(x7522)+P7(x7521,f3(x7522),x7522)+P7(f3(x7522),x7521,x7522)+~P5(x7523,f3(x7522),x7522)+P5(x7523,f10(x7524,x7521,x7522),x7522)
% 0.92/0.91 [753]~P50(x7532)+~P9(x7532)+P7(x7531,f3(x7532),x7532)+P7(f3(x7532),x7531,x7532)+~P7(x7533,f3(x7532),x7532)+P7(x7533,f10(x7534,x7531,x7532),x7532)
% 0.92/0.91 [754]~P50(x7542)+~P9(x7542)+P7(x7541,f3(x7542),x7542)+P7(f3(x7542),x7541,x7542)+~P5(f3(x7542),x7544,x7542)+P5(f10(x7543,x7541,x7542),x7544,x7542)
% 0.92/0.91 [755]~P50(x7552)+~P9(x7552)+P7(x7551,f3(x7552),x7552)+P7(f3(x7552),x7551,x7552)+~P7(f3(x7552),x7554,x7552)+P7(f10(x7553,x7551,x7552),x7554,x7552)
% 0.92/0.91 [821]~P50(x8212)+~P9(x8212)+P5(x8211,f3(x8212),x8212)+P7(f3(x8212),x8213,x8212)+~P5(x8211,f10(x8214,x8213,x8212),x8212)+P7(x8213,f3(x8212),x8212)
% 0.92/0.91 [822]~P50(x8222)+~P9(x8222)+P7(x8221,f3(x8222),x8222)+P7(f3(x8222),x8221,x8222)+~P7(x8223,f10(x8224,x8221,x8222),x8222)+P7(x8223,f3(x8222),x8222)
% 0.92/0.91 [823]~P50(x8232)+~P9(x8232)+P7(x8231,f3(x8232),x8232)+P7(f3(x8232),x8231,x8232)+~P5(f10(x8234,x8231,x8232),x8233,x8232)+P5(f3(x8232),x8233,x8232)
% 0.92/0.91 [824]~P50(x8242)+~P9(x8242)+P7(x8241,f3(x8242),x8242)+P7(f3(x8242),x8241,x8242)+~P7(f10(x8244,x8241,x8242),x8243,x8242)+P7(f3(x8242),x8243,x8242)
% 0.92/0.91 [907]~P50(x9072)+~P9(x9072)+~P5(f12(x9073,x9071,x9072),x9074,x9072)+P7(x9071,f3(x9072),x9072)+~P5(x9073,f3(x9072),x9072)+P5(x9073,f10(x9074,x9071,x9072),x9072)
% 0.92/0.91 [908]~P50(x9082)+~P9(x9082)+~P7(f12(x9083,x9081,x9082),x9084,x9082)+P7(x9081,f3(x9082),x9082)+~P7(x9083,f3(x9082),x9082)+P7(x9083,f10(x9084,x9081,x9082),x9082)
% 0.92/0.91 [909]~P50(x9092)+~P9(x9092)+~P5(x9093,f12(x9094,x9091,x9092),x9092)+P7(x9091,f3(x9092),x9092)+~P5(f3(x9092),x9094,x9092)+P5(f10(x9093,x9091,x9092),x9094,x9092)
% 0.92/0.91 [910]~P50(x9102)+~P9(x9102)+~P7(x9103,f12(x9104,x9101,x9102),x9102)+P7(x9101,f3(x9102),x9102)+~P7(f3(x9102),x9104,x9102)+P7(f10(x9103,x9101,x9102),x9104,x9102)
% 0.92/0.91 [911]~P50(x9111)+~P9(x9111)+~P5(x9114,f10(x9113,x9112,x9111),x9111)+~P7(x9112,f3(x9111),x9111)+P7(f3(x9111),x9112,x9111)+P5(x9113,f12(x9114,x9112,x9111),x9111)
% 0.92/0.91 [912]~P50(x9121)+~P9(x9121)+~P5(x9124,f12(x9123,x9122,x9121),x9121)+~P5(x9123,f3(x9121),x9121)+P7(f3(x9121),x9122,x9121)+P5(x9123,f10(x9124,x9122,x9121),x9121)
% 0.92/0.91 [913]~P50(x9131)+~P9(x9131)+~P5(x9134,f12(x9133,x9132,x9131),x9131)+~P7(x9132,f3(x9131),x9131)+P7(f3(x9131),x9132,x9131)+P5(x9133,f10(x9134,x9132,x9131),x9131)
% 0.92/0.91 [914]~P50(x9141)+~P9(x9141)+~P7(x9144,f10(x9143,x9142,x9141),x9141)+~P7(x9142,f3(x9141),x9141)+P7(f3(x9141),x9142,x9141)+P7(x9143,f12(x9144,x9142,x9141),x9141)
% 0.92/0.91 [915]~P50(x9151)+~P9(x9151)+~P7(x9154,f12(x9153,x9152,x9151),x9151)+~P7(x9152,f3(x9151),x9151)+P7(f3(x9151),x9152,x9151)+P7(x9153,f10(x9154,x9152,x9151),x9151)
% 0.92/0.91 [916]~P50(x9161)+~P9(x9161)+~P7(x9164,f12(x9163,x9162,x9161),x9161)+~P7(x9163,f3(x9161),x9161)+P7(f3(x9161),x9162,x9161)+P7(x9163,f10(x9164,x9162,x9161),x9161)
% 0.92/0.91 [917]~P50(x9171)+~P9(x9171)+~P5(f10(x9174,x9172,x9171),x9173,x9171)+~P7(x9172,f3(x9171),x9171)+P7(f3(x9171),x9172,x9171)+P5(f12(x9173,x9172,x9171),x9174,x9171)
% 0.92/0.91 [918]~P50(x9181)+~P9(x9181)+~P5(f12(x9184,x9182,x9181),x9183,x9181)+~P7(x9182,f3(x9181),x9181)+P7(f3(x9181),x9182,x9181)+P5(f10(x9183,x9182,x9181),x9184,x9181)
% 0.92/0.91 [919]~P50(x9191)+~P9(x9191)+~P7(f10(x9194,x9192,x9191),x9193,x9191)+~P7(x9192,f3(x9191),x9191)+P7(f3(x9191),x9192,x9191)+P7(f12(x9193,x9192,x9191),x9194,x9191)
% 0.92/0.91 [920]~P50(x9201)+~P9(x9201)+~P7(f12(x9204,x9202,x9201),x9203,x9201)+~P7(x9202,f3(x9201),x9201)+P7(f3(x9201),x9202,x9201)+P7(f10(x9203,x9202,x9201),x9204,x9201)
% 0.92/0.91 [921]~P50(x9211)+~P9(x9211)+~P5(f12(x9214,x9212,x9211),x9213,x9211)+~P5(f3(x9211),x9214,x9211)+P7(f3(x9211),x9212,x9211)+P5(f10(x9213,x9212,x9211),x9214,x9211)
% 0.92/0.91 [922]~P50(x9221)+~P9(x9221)+~P7(f12(x9224,x9222,x9221),x9223,x9221)+~P7(f3(x9221),x9224,x9221)+P7(f3(x9221),x9222,x9221)+P7(f10(x9223,x9222,x9221),x9224,x9221)
% 0.92/0.91 [947]~P50(x9473)+~P9(x9473)+~P5(x9472,x9474,x9473)+~P5(x9471,f3(x9473),x9473)+~P7(f3(x9473),f12(x9472,x9474,x9473),x9473)+P5(f10(x9471,x9472,x9473),f10(x9471,x9474,x9473),x9473)
% 0.92/0.91 [952]~P50(x9524)+~P9(x9524)+~P5(x9521,f3(x9524),x9524)+~P5(x9522,f12(x9521,x9523,x9524),x9524)+~P5(f12(x9521,x9523,x9524),x9522,x9524)+P5(x9521,f10(x9522,x9523,x9524),x9524)
% 0.92/0.91 [953]~P50(x9534)+~P9(x9534)+~P7(x9533,f3(x9534),x9534)+~P5(x9532,f12(x9531,x9533,x9534),x9534)+~P5(f12(x9531,x9533,x9534),x9532,x9534)+P5(x9531,f10(x9532,x9533,x9534),x9534)
% 0.92/0.91 [954]~P50(x9544)+~P9(x9544)+~P7(x9543,f3(x9544),x9544)+~P7(x9542,f12(x9541,x9543,x9544),x9544)+~P7(f12(x9541,x9543,x9544),x9542,x9544)+P7(x9541,f10(x9542,x9543,x9544),x9544)
% 0.92/0.91 [955]~P50(x9554)+~P9(x9554)+~P7(x9551,f3(x9554),x9554)+~P7(x9552,f12(x9551,x9553,x9554),x9554)+~P7(f12(x9551,x9553,x9554),x9552,x9554)+P7(x9551,f10(x9552,x9553,x9554),x9554)
% 0.92/0.91 [956]~P50(x9563)+~P9(x9563)+~P7(x9562,f3(x9563),x9563)+~P5(x9561,f12(x9564,x9562,x9563),x9563)+~P5(f12(x9564,x9562,x9563),x9561,x9563)+P5(f10(x9561,x9562,x9563),x9564,x9563)
% 0.92/0.91 [957]~P50(x9573)+~P9(x9573)+~P7(x9572,f3(x9573),x9573)+~P7(x9571,f12(x9574,x9572,x9573),x9573)+~P7(f12(x9574,x9572,x9573),x9571,x9573)+P7(f10(x9571,x9572,x9573),x9574,x9573)
% 0.92/0.91 [958]~P50(x9583)+~P9(x9583)+~P5(f3(x9583),x9584,x9583)+~P5(x9581,f12(x9584,x9582,x9583),x9583)+~P5(f12(x9584,x9582,x9583),x9581,x9583)+P5(f10(x9581,x9582,x9583),x9584,x9583)
% 0.92/0.91 [959]~P50(x9593)+~P9(x9593)+~P7(f3(x9593),x9594,x9593)+~P7(x9591,f12(x9594,x9592,x9593),x9593)+~P7(f12(x9594,x9592,x9593),x9591,x9593)+P7(f10(x9591,x9592,x9593),x9594,x9593)
% 0.92/0.91 [929]~P62(x9293)+~P5(x9292,x9295,x9293)+~P5(x9291,x9294,x9293)+~P5(f3(x9293),x9294,x9293)+~P5(f3(x9293),x9292,x9293)+P5(f12(x9291,x9292,x9293),f12(x9294,x9295,x9293),x9293)
% 0.92/0.91 [930]~P62(x9303)+~P5(x9302,x9305,x9303)+~P5(x9301,x9304,x9303)+~P5(f3(x9303),x9302,x9303)+~P5(f3(x9303),x9301,x9303)+P5(f12(x9301,x9302,x9303),f12(x9304,x9305,x9303),x9303)
% 0.92/0.91 [931]~P50(x9313)+~P5(x9315,x9312,x9313)+~P5(x9311,x9314,x9313)+~P5(f3(x9313),x9311,x9313)+~P7(f3(x9313),x9315,x9313)+P5(f10(x9311,x9312,x9313),f10(x9314,x9315,x9313),x9313)
% 0.92/0.91 [932]~P56(x9323)+~P5(x9322,x9325,x9323)+~P7(x9321,x9324,x9323)+~P5(f3(x9323),x9321,x9323)+~P7(f3(x9323),x9322,x9323)+P7(f12(x9321,x9322,x9323),f12(x9324,x9325,x9323),x9323)
% 0.92/0.91 [933]~P56(x9333)+~P5(x9331,x9334,x9333)+~P7(x9332,x9335,x9333)+~P5(f3(x9333),x9332,x9333)+~P7(f3(x9333),x9331,x9333)+P7(f12(x9331,x9332,x9333),f12(x9334,x9335,x9333),x9333)
% 0.92/0.91 [934]~P56(x9343)+~P7(x9342,x9345,x9343)+~P7(x9341,x9344,x9343)+~P5(f3(x9343),x9342,x9343)+~P5(f3(x9343),x9341,x9343)+P7(f12(x9341,x9342,x9343),f12(x9344,x9345,x9343),x9343)
% 0.92/0.91 [935]~P56(x9353)+~P7(x9352,x9355,x9353)+~P7(x9351,x9354,x9353)+~P5(f3(x9353),x9352,x9353)+~P7(f3(x9353),x9354,x9353)+P7(f12(x9351,x9352,x9353),f12(x9354,x9355,x9353),x9353)
% 0.92/0.91 [936]~P50(x9363)+~P5(x9365,x9362,x9363)+~P7(x9361,x9364,x9363)+~P5(f3(x9363),x9361,x9363)+~P7(f3(x9363),x9365,x9363)+P7(f10(x9361,x9362,x9363),f10(x9364,x9365,x9363),x9363)
% 0.92/0.91 [937]~P50(x9373)+~P5(x9371,x9374,x9373)+~P7(x9375,x9372,x9373)+~P7(f3(x9373),x9375,x9373)+~P7(f3(x9373),x9371,x9373)+P7(f10(x9371,x9372,x9373),f10(x9374,x9375,x9373),x9373)
% 0.92/0.91 %EqnAxiom
% 0.92/0.91 [1]E(x11,x11)
% 0.92/0.91 [2]E(x22,x21)+~E(x21,x22)
% 0.92/0.91 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.92/0.91 [4]~E(x41,x42)+E(f3(x41),f3(x42))
% 0.92/0.91 [5]~E(x51,x52)+E(f4(x51),f4(x52))
% 0.92/0.91 [6]~E(x61,x62)+E(f8(x61,x63,x64),f8(x62,x63,x64))
% 0.92/0.91 [7]~E(x71,x72)+E(f8(x73,x71,x74),f8(x73,x72,x74))
% 0.92/0.91 [8]~E(x81,x82)+E(f8(x83,x84,x81),f8(x83,x84,x82))
% 0.92/0.91 [9]~E(x91,x92)+E(f12(x91,x93,x94),f12(x92,x93,x94))
% 0.92/0.91 [10]~E(x101,x102)+E(f12(x103,x101,x104),f12(x103,x102,x104))
% 0.92/0.91 [11]~E(x111,x112)+E(f12(x113,x114,x111),f12(x113,x114,x112))
% 0.92/0.91 [12]~E(x121,x122)+E(f6(x121,x123,x124),f6(x122,x123,x124))
% 0.92/0.91 [13]~E(x131,x132)+E(f6(x133,x131,x134),f6(x133,x132,x134))
% 0.92/0.91 [14]~E(x141,x142)+E(f6(x143,x144,x141),f6(x143,x144,x142))
% 0.92/0.91 [15]~E(x151,x152)+E(f5(x151,x153),f5(x152,x153))
% 0.92/0.91 [16]~E(x161,x162)+E(f5(x163,x161),f5(x163,x162))
% 0.92/0.91 [17]~E(x171,x172)+E(f16(x171,x173,x174),f16(x172,x173,x174))
% 0.92/0.91 [18]~E(x181,x182)+E(f16(x183,x181,x184),f16(x183,x182,x184))
% 0.92/0.91 [19]~E(x191,x192)+E(f16(x193,x194,x191),f16(x193,x194,x192))
% 0.92/0.91 [20]~E(x201,x202)+E(f10(x201,x203,x204),f10(x202,x203,x204))
% 0.92/0.91 [21]~E(x211,x212)+E(f10(x213,x211,x214),f10(x213,x212,x214))
% 0.92/0.91 [22]~E(x221,x222)+E(f10(x223,x224,x221),f10(x223,x224,x222))
% 0.92/0.91 [23]~E(x231,x232)+E(f13(x231,x233),f13(x232,x233))
% 0.92/0.91 [24]~E(x241,x242)+E(f13(x243,x241),f13(x243,x242))
% 0.92/0.91 [25]~E(x251,x252)+E(f7(x251,x253,x254),f7(x252,x253,x254))
% 0.92/0.91 [26]~E(x261,x262)+E(f7(x263,x261,x264),f7(x263,x262,x264))
% 0.92/0.91 [27]~E(x271,x272)+E(f7(x273,x274,x271),f7(x273,x274,x272))
% 0.92/0.91 [28]~E(x281,x282)+E(f15(x281,x283,x284),f15(x282,x283,x284))
% 0.92/0.91 [29]~E(x291,x292)+E(f15(x293,x291,x294),f15(x293,x292,x294))
% 0.92/0.91 [30]~E(x301,x302)+E(f15(x303,x304,x301),f15(x303,x304,x302))
% 0.92/0.91 [31]~E(x311,x312)+E(f18(x311,x313,x314),f18(x312,x313,x314))
% 0.92/0.91 [32]~E(x321,x322)+E(f18(x323,x321,x324),f18(x323,x322,x324))
% 0.92/0.91 [33]~E(x331,x332)+E(f18(x333,x334,x331),f18(x333,x334,x332))
% 0.92/0.91 [34]~E(x341,x342)+E(f11(x341,x343),f11(x342,x343))
% 0.92/0.91 [35]~E(x351,x352)+E(f11(x353,x351),f11(x353,x352))
% 0.92/0.91 [36]~E(x361,x362)+E(f9(x361,x363),f9(x362,x363))
% 0.92/0.91 [37]~E(x371,x372)+E(f9(x373,x371),f9(x373,x372))
% 0.92/0.91 [38]~E(x381,x382)+E(f14(x381,x383,x384),f14(x382,x383,x384))
% 0.92/0.91 [39]~E(x391,x392)+E(f14(x393,x391,x394),f14(x393,x392,x394))
% 0.92/0.91 [40]~E(x401,x402)+E(f14(x403,x404,x401),f14(x403,x404,x402))
% 0.92/0.91 [41]~E(x411,x412)+E(f17(x411,x413,x414),f17(x412,x413,x414))
% 0.92/0.91 [42]~E(x421,x422)+E(f17(x423,x421,x424),f17(x423,x422,x424))
% 0.92/0.91 [43]~E(x431,x432)+E(f17(x433,x434,x431),f17(x433,x434,x432))
% 0.92/0.91 [44]~E(x441,x442)+E(f19(x441),f19(x442))
% 0.92/0.91 [45]~E(x451,x452)+E(f25(x451),f25(x452))
% 0.92/0.91 [46]~P1(x461)+P1(x462)+~E(x461,x462)
% 0.92/0.91 [47]~P33(x471)+P33(x472)+~E(x471,x472)
% 0.92/0.91 [48]~P48(x481)+P48(x482)+~E(x481,x482)
% 0.92/0.91 [49]~P2(x491)+P2(x492)+~E(x491,x492)
% 0.92/0.91 [50]~P60(x501)+P60(x502)+~E(x501,x502)
% 0.92/0.91 [51]~P3(x511)+P3(x512)+~E(x511,x512)
% 0.92/0.91 [52]P5(x522,x523,x524)+~E(x521,x522)+~P5(x521,x523,x524)
% 0.92/0.91 [53]P5(x533,x532,x534)+~E(x531,x532)+~P5(x533,x531,x534)
% 0.92/0.91 [54]P5(x543,x544,x542)+~E(x541,x542)+~P5(x543,x544,x541)
% 0.92/0.91 [55]~P49(x551)+P49(x552)+~E(x551,x552)
% 0.92/0.91 [56]~P50(x561)+P50(x562)+~E(x561,x562)
% 0.92/0.91 [57]~P9(x571)+P9(x572)+~E(x571,x572)
% 0.92/0.91 [58]P7(x582,x583,x584)+~E(x581,x582)+~P7(x581,x583,x584)
% 0.92/0.91 [59]P7(x593,x592,x594)+~E(x591,x592)+~P7(x593,x591,x594)
% 0.92/0.91 [60]P7(x603,x604,x602)+~E(x601,x602)+~P7(x603,x604,x601)
% 0.92/0.91 [61]~P56(x611)+P56(x612)+~E(x611,x612)
% 0.92/0.91 [62]~P11(x621)+P11(x622)+~E(x621,x622)
% 0.92/0.91 [63]~P4(x631)+P4(x632)+~E(x631,x632)
% 0.92/0.91 [64]~P45(x641)+P45(x642)+~E(x641,x642)
% 0.92/0.91 [65]~P34(x651)+P34(x652)+~E(x651,x652)
% 0.92/0.91 [66]~P39(x661)+P39(x662)+~E(x661,x662)
% 0.92/0.91 [67]~P10(x671)+P10(x672)+~E(x671,x672)
% 0.92/0.91 [68]~P24(x681)+P24(x682)+~E(x681,x682)
% 0.92/0.91 [69]~P18(x691)+P18(x692)+~E(x691,x692)
% 0.92/0.91 [70]~P62(x701)+P62(x702)+~E(x701,x702)
% 0.92/0.91 [71]~P32(x711)+P32(x712)+~E(x711,x712)
% 0.92/0.91 [72]~P43(x721)+P43(x722)+~E(x721,x722)
% 0.92/0.91 [73]~P59(x731)+P59(x732)+~E(x731,x732)
% 0.92/0.91 [74]~P46(x741)+P46(x742)+~E(x741,x742)
% 0.92/0.91 [75]~P12(x751)+P12(x752)+~E(x751,x752)
% 0.92/0.91 [76]~P13(x761)+P13(x762)+~E(x761,x762)
% 0.92/0.91 [77]~P35(x771)+P35(x772)+~E(x771,x772)
% 0.92/0.91 [78]~P28(x781)+P28(x782)+~E(x781,x782)
% 0.92/0.91 [79]~P41(x791)+P41(x792)+~E(x791,x792)
% 0.92/0.91 [80]P6(x802,x803,x804)+~E(x801,x802)+~P6(x801,x803,x804)
% 0.92/0.91 [81]P6(x813,x812,x814)+~E(x811,x812)+~P6(x813,x811,x814)
% 0.92/0.91 [82]P6(x823,x824,x822)+~E(x821,x822)+~P6(x823,x824,x821)
% 0.92/0.91 [83]~P55(x831)+P55(x832)+~E(x831,x832)
% 0.92/0.91 [84]~P19(x841)+P19(x842)+~E(x841,x842)
% 0.92/0.91 [85]~P14(x851)+P14(x852)+~E(x851,x852)
% 0.92/0.91 [86]~P42(x861)+P42(x862)+~E(x861,x862)
% 0.92/0.91 [87]~P27(x871)+P27(x872)+~E(x871,x872)
% 0.92/0.91 [88]~P23(x881)+P23(x882)+~E(x881,x882)
% 0.92/0.91 [89]~P25(x891)+P25(x892)+~E(x891,x892)
% 0.92/0.92 [90]~P26(x901)+P26(x902)+~E(x901,x902)
% 0.92/0.92 [91]~P40(x911)+P40(x912)+~E(x911,x912)
% 0.92/0.92 [92]~P51(x921)+P51(x922)+~E(x921,x922)
% 0.92/0.92 [93]~P37(x931)+P37(x932)+~E(x931,x932)
% 0.92/0.92 [94]~P57(x941)+P57(x942)+~E(x941,x942)
% 0.92/0.92 [95]~P30(x951)+P30(x952)+~E(x951,x952)
% 0.92/0.92 [96]~P29(x961)+P29(x962)+~E(x961,x962)
% 0.92/0.92 [97]~P8(x971)+P8(x972)+~E(x971,x972)
% 0.92/0.92 [98]~P38(x981)+P38(x982)+~E(x981,x982)
% 0.92/0.92 [99]~P16(x991)+P16(x992)+~E(x991,x992)
% 0.92/0.92 [100]~P61(x1001)+P61(x1002)+~E(x1001,x1002)
% 0.92/0.92 [101]~P21(x1011)+P21(x1012)+~E(x1011,x1012)
% 0.92/0.92 [102]~P64(x1021)+P64(x1022)+~E(x1021,x1022)
% 0.92/0.92 [103]~P44(x1031)+P44(x1032)+~E(x1031,x1032)
% 0.92/0.92 [104]~P31(x1041)+P31(x1042)+~E(x1041,x1042)
% 0.92/0.92 [105]~P52(x1051)+P52(x1052)+~E(x1051,x1052)
% 0.92/0.92 [106]~P53(x1061)+P53(x1062)+~E(x1061,x1062)
% 0.92/0.92 [107]~P22(x1071)+P22(x1072)+~E(x1071,x1072)
% 0.92/0.92 [108]~P54(x1081)+P54(x1082)+~E(x1081,x1082)
% 0.92/0.92 [109]~P58(x1091)+P58(x1092)+~E(x1091,x1092)
% 0.92/0.92 [110]~P63(x1101)+P63(x1102)+~E(x1101,x1102)
% 0.92/0.92 [111]~P15(x1111)+P15(x1112)+~E(x1111,x1112)
% 0.92/0.92 [112]~P20(x1121)+P20(x1122)+~E(x1121,x1122)
% 0.92/0.92 [113]~P47(x1131)+P47(x1132)+~E(x1131,x1132)
% 0.92/0.92 [114]~P36(x1141)+P36(x1142)+~E(x1141,x1142)
% 0.92/0.92 [115]~P17(x1151)+P17(x1152)+~E(x1151,x1152)
% 0.92/0.92
% 0.92/0.92 %-------------------------------------------
% 0.92/0.92 cnf(989,plain,
% 0.92/0.92 ($false),
% 0.92/0.92 inference(scs_inference,[],[245,242]),
% 0.92/0.92 ['proof']).
% 0.92/0.92 % SZS output end Proof
% 0.92/0.92 % Total time :0.030000s
%------------------------------------------------------------------------------