TSTP Solution File: ALG438-1 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : ALG438-1 : 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 : n011.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 16:00:00 EDT 2023
% Result : Unsatisfiable 0.19s 0.77s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ALG438-1 : TPTP v8.1.2. Released v4.1.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n011.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 03:03:55 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.19/0.57 start to proof:theBenchmark
% 0.19/0.73 %-------------------------------------------
% 0.19/0.73 % File :CSE---1.6
% 0.19/0.73 % Problem :theBenchmark
% 0.19/0.73 % Transform :cnf
% 0.19/0.73 % Format :tptp:raw
% 0.19/0.73 % Command :java -jar mcs_scs.jar %d %s
% 0.19/0.73
% 0.19/0.73 % Result :Theorem 0.030000s
% 0.19/0.73 % Output :CNFRefutation 0.030000s
% 0.19/0.73 %-------------------------------------------
% 0.19/0.74 %------------------------------------------------------------------------------
% 0.19/0.74 % File : ALG438-1 : TPTP v8.1.2. Released v4.1.0.
% 0.19/0.74 % Domain : General Algebra
% 0.19/0.74 % Problem : Fundamental theorem of algebra 1105_3
% 0.19/0.74 % Version : Especial.
% 0.19/0.74 % English :
% 0.19/0.74
% 0.19/0.74 % Refs : [Nip10] Nipkow (2010), Email to Geoff Sutcliffe
% 0.19/0.74 % : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day
% 0.19/0.74 % Source : [Nip10]
% 0.19/0.74 % Names : Fundamental_Theorem_Algebra-1105_3 [Nip10]
% 0.19/0.74
% 0.19/0.74 % Status : Unsatisfiable
% 0.19/0.74 % Rating : 0.05 v8.1.0, 0.11 v7.4.0, 0.12 v7.3.0, 0.08 v7.0.0, 0.20 v6.4.0, 0.13 v6.3.0, 0.09 v6.2.0, 0.20 v6.1.0, 0.14 v6.0.0, 0.10 v5.5.0, 0.25 v5.3.0, 0.28 v5.2.0, 0.25 v5.1.0, 0.29 v5.0.0, 0.14 v4.1.0
% 0.19/0.74 % Syntax : Number of clauses : 392 ( 24 unt; 53 nHn; 270 RR)
% 0.19/0.74 % Number of literals : 1160 ( 212 equ; 722 neg)
% 0.19/0.74 % Maximal clause size : 6 ( 2 avg)
% 0.19/0.74 % Maximal term depth : 5 ( 1 avg)
% 0.19/0.74 % Number of predicates : 49 ( 48 usr; 0 prp; 1-3 aty)
% 0.19/0.74 % Number of functors : 19 ( 19 usr; 6 con; 0-3 aty)
% 0.19/0.74 % Number of variables : 1092 ( 49 sgn)
% 0.19/0.74 % SPC : CNF_UNS_RFO_SEQ_NHN
% 0.19/0.74
% 0.19/0.74 % Comments :
% 0.19/0.74 %------------------------------------------------------------------------------
% 0.19/0.74 cnf(cls_pos__poly__pCons_0,axiom,
% 0.19/0.74 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.19/0.74 | V_p = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))
% 0.19/0.74 | c_Polynomial_Opos__poly(V_p,T_a)
% 0.19/0.74 | ~ c_Polynomial_Opos__poly(c_Polynomial_OpCons(V_a,V_p,T_a),T_a) ) ).
% 0.19/0.74
% 0.19/0.74 cnf(cls_poly__pcompose_0,axiom,
% 0.19/0.74 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a)
% 0.19/0.74 | 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) ) ).
% 0.19/0.74
% 0.19/0.74 cnf(cls_not__pos__poly__0_0,axiom,
% 0.19/0.74 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.19/0.74 | ~ c_Polynomial_Opos__poly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),T_a) ) ).
% 0.19/0.74
% 0.19/0.74 cnf(cls_pcompose__0_0,axiom,
% 0.19/0.74 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a)
% 0.19/0.74 | c_Polynomial_Opcompose(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_q,T_a) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ).
% 0.19/0.74
% 0.19/0.74 cnf(cls_pos__poly__pCons_2,axiom,
% 0.19/0.74 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.19/0.74 | c_Polynomial_Opos__poly(c_Polynomial_OpCons(V_a,V_p,T_a),T_a)
% 0.19/0.74 | ~ c_Polynomial_Opos__poly(V_p,T_a) ) ).
% 0.19/0.74
% 0.19/0.74 cnf(cls_pos__poly__add_0,axiom,
% 0.19/0.74 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.19/0.74 | c_Polynomial_Opos__poly(c_HOL_Oplus__class_Oplus(V_p,V_q,tc_Polynomial_Opoly(T_a)),T_a)
% 0.19/0.74 | ~ c_Polynomial_Opos__poly(V_q,T_a)
% 0.19/0.74 | ~ c_Polynomial_Opos__poly(V_p,T_a) ) ).
% 0.19/0.74
% 0.19/0.74 cnf(cls_pos__poly__mult_0,axiom,
% 0.19/0.74 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.19/0.74 | c_Polynomial_Opos__poly(c_HOL_Otimes__class_Otimes(V_p,V_q,tc_Polynomial_Opoly(T_a)),T_a)
% 0.19/0.74 | ~ c_Polynomial_Opos__poly(V_q,T_a)
% 0.19/0.74 | ~ c_Polynomial_Opos__poly(V_p,T_a) ) ).
% 0.19/0.74
% 0.19/0.74 cnf(cls_pos__poly__pCons_1,axiom,
% 0.19/0.74 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.19/0.74 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.19/0.74 | c_Polynomial_Opos__poly(V_p,T_a)
% 0.19/0.74 | ~ c_Polynomial_Opos__poly(c_Polynomial_OpCons(V_a,V_p,T_a),T_a) ) ).
% 0.19/0.74
% 0.19/0.74 cnf(cls_add__le__cancel__right_0,axiom,
% 0.19/0.74 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.19/0.74 | c_lessequals(V_a,V_b,T_a)
% 0.19/0.74 | ~ 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) ) ).
% 0.19/0.74
% 0.19/0.74 cnf(cls_add__le__cancel__right_1,axiom,
% 0.19/0.74 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.19/0.74 | 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)
% 0.19/0.74 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.19/0.74
% 0.19/0.74 cnf(cls_add__mono_0,axiom,
% 0.19/0.74 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a)
% 0.19/0.74 | 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)
% 0.19/0.74 | ~ c_lessequals(V_c,V_d,T_a)
% 0.19/0.74 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.19/0.74
% 0.19/0.74 cnf(cls_add__strict__mono_0,axiom,
% 0.19/0.74 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 0.19/0.74 | 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)
% 0.19/0.74 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a)
% 0.19/0.74 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.19/0.74
% 0.19/0.74 cnf(cls_add__less__cancel__left_0,axiom,
% 0.19/0.74 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.19/0.74 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.19/0.74 | ~ 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) ) ).
% 0.19/0.74
% 0.19/0.74 cnf(cls_add__less__cancel__left_1,axiom,
% 0.19/0.74 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.19/0.74 | 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)
% 0.19/0.74 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.19/0.74
% 0.19/0.74 cnf(cls_add__strict__left__mono_0,axiom,
% 0.19/0.74 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 0.19/0.74 | 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)
% 0.19/0.74 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.19/0.74
% 0.19/0.74 cnf(cls_add__less__cancel__right_0,axiom,
% 0.19/0.74 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.19/0.74 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.19/0.74 | ~ 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) ) ).
% 0.19/0.74
% 0.19/0.74 cnf(cls_add__less__cancel__right_1,axiom,
% 0.19/0.74 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.19/0.74 | 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)
% 0.19/0.74 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.19/0.74
% 0.19/0.74 cnf(cls_add__strict__right__mono_0,axiom,
% 0.19/0.74 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 0.19/0.74 | 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)
% 0.19/0.74 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.19/0.74
% 0.19/0.74 cnf(cls_le__add__right__mono_0,axiom,
% 0.19/0.74 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.19/0.74 | c_lessequals(V_a,c_HOL_Oplus__class_Oplus(V_b,V_d,T_a),T_a)
% 0.19/0.74 | ~ c_lessequals(V_c,V_d,T_a)
% 0.19/0.75 | ~ c_lessequals(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_mult__less__cancel__left__disj_3,axiom,
% 0.19/0.75 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.19/0.75 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.19/0.75 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.19/0.75 | ~ 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) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_mult__less__cancel__right__disj_3,axiom,
% 0.19/0.75 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.19/0.75 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.19/0.75 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.19/0.75 | ~ 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) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_inverse__mult__distrib_0,axiom,
% 0.19/0.75 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.19/0.75 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.19/0.75 | c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_add__strict__increasing2_0,axiom,
% 0.19/0.75 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.19/0.75 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.19/0.75 | c_HOL_Oord__class_Oless(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a)
% 0.19/0.75 | ~ c_HOL_Oord__class_Oless(V_b,V_c,T_a)
% 0.19/0.75 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_add__neg__nonpos_0,axiom,
% 0.19/0.75 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.19/0.75 | 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)
% 0.19/0.75 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.19/0.75 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_add__nonpos__neg_0,axiom,
% 0.19/0.75 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.19/0.75 | 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)
% 0.19/0.75 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.19/0.75 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_add__nonneg__pos_0,axiom,
% 0.19/0.75 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.19/0.75 | 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)
% 0.19/0.75 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.19/0.75 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_pcompose__pCons_0,axiom,
% 0.19/0.75 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a)
% 0.19/0.75 | c_Polynomial_Opcompose(c_Polynomial_OpCons(V_a,V_p,T_a),V_q,T_a) = c_HOL_Oplus__class_Oplus(c_Polynomial_OpCons(V_a,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),T_a),c_HOL_Otimes__class_Otimes(V_q,c_Polynomial_Opcompose(V_p,V_q,T_a),tc_Polynomial_Opoly(T_a)),tc_Polynomial_Opoly(T_a)) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_basic__cqe__conv1_I5_J_1,axiom,
% 0.19/0.75 ( ~ class_Ring__and__Field_Ocomm__semiring__0(t_a)
% 0.19/0.75 | c_Polynomial_Opoly(c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)),t_a),v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xbasic__cqe__conv1__5__1(c_HOL_Ozero__class_Ozero(t_a)),t_a) = c_HOL_Ozero__class_Ozero(t_a) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_basic__cqe__conv1_I3_J_1,axiom,
% 0.19/0.75 ( ~ class_Ring__and__Field_Ocomm__semiring__0(t_a)
% 0.19/0.75 | c_Polynomial_Opoly(c_Polynomial_OpCons(V_c,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)),t_a),v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xbasic__cqe__conv1__3__1(V_c),t_a) != c_HOL_Ozero__class_Ozero(t_a)
% 0.19/0.75 | V_c = c_HOL_Ozero__class_Ozero(t_a) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_pos__poly__pCons_3,axiom,
% 0.19/0.75 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.19/0.75 | c_Polynomial_Opos__poly(c_Polynomial_OpCons(V_a,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),T_a),T_a)
% 0.19/0.75 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_add__le__cancel__left_1,axiom,
% 0.19/0.75 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.19/0.75 | 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)
% 0.19/0.75 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_add__le__cancel__left_0,axiom,
% 0.19/0.75 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.19/0.75 | c_lessequals(V_a,V_b,T_a)
% 0.19/0.75 | ~ 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) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_add__right__mono_0,axiom,
% 0.19/0.75 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a)
% 0.19/0.75 | 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)
% 0.19/0.75 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_add__left__mono_0,axiom,
% 0.19/0.75 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a)
% 0.19/0.75 | 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)
% 0.19/0.75 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_basic__cqe__conv1_I3_J_0,axiom,
% 0.19/0.75 ( ~ class_Ring__and__Field_Ocomm__semiring__0(t_a)
% 0.19/0.75 | c_Polynomial_Opoly(c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)),t_a),V_x,t_a) = c_HOL_Ozero__class_Ozero(t_a) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_basic__cqe__conv1_I5_J_0,axiom,
% 0.19/0.75 ( ~ class_Ring__and__Field_Ocomm__semiring__0(t_a)
% 0.19/0.75 | c_Polynomial_Opoly(c_Polynomial_OpCons(V_c,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)),t_a),V_x,t_a) != c_HOL_Ozero__class_Ozero(t_a)
% 0.19/0.75 | V_c = c_HOL_Ozero__class_Ozero(t_a) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_pCons__eq__0__iff_1,axiom,
% 0.19/0.75 ( ~ class_HOL_Ozero(T_a)
% 0.19/0.75 | c_Polynomial_OpCons(V_a,V_p,T_a) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))
% 0.19/0.75 | V_p = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_smult__0__right_0,axiom,
% 0.19/0.75 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a)
% 0.19/0.75 | c_Polynomial_Osmult(V_a,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),T_a) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_smult__eq__0__iff_2,axiom,
% 0.19/0.75 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.19/0.75 | c_Polynomial_Osmult(V_a,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),T_a) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_add__poly__code_I1_J_0,axiom,
% 0.19/0.75 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.19/0.75 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_q,tc_Polynomial_Opoly(T_a)) = V_q ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_add__poly__code_I2_J_0,axiom,
% 0.19/0.75 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.19/0.75 | c_HOL_Oplus__class_Oplus(V_p,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),tc_Polynomial_Opoly(T_a)) = V_p ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_mult__poly__0__right_0,axiom,
% 0.19/0.75 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a)
% 0.19/0.75 | c_HOL_Otimes__class_Otimes(V_p,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),tc_Polynomial_Opoly(T_a)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_mult__poly__0__left_0,axiom,
% 0.19/0.75 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a)
% 0.19/0.75 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_q,tc_Polynomial_Opoly(T_a)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_synthetic__div__correct_0,axiom,
% 0.19/0.75 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a)
% 0.19/0.75 | c_HOL_Oplus__class_Oplus(V_p,c_Polynomial_Osmult(V_c,c_Polynomial_Osynthetic__div(V_p,V_c,T_a),T_a),tc_Polynomial_Opoly(T_a)) = c_Polynomial_OpCons(c_Polynomial_Opoly(V_p,V_c,T_a),c_Polynomial_Osynthetic__div(V_p,V_c,T_a),T_a) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_mult__less__cancel__right__disj_2,axiom,
% 0.19/0.75 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.19/0.75 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.19/0.75 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.19/0.75 | ~ 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) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_mult__less__cancel__right__disj_1,axiom,
% 0.19/0.75 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.19/0.75 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.19/0.75 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.19/0.75 | ~ 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) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_mult__less__cancel__left__disj_2,axiom,
% 0.19/0.75 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.19/0.75 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.19/0.75 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.19/0.75 | ~ 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) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_mult__less__cancel__left__disj_1,axiom,
% 0.19/0.75 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.19/0.75 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.19/0.75 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.19/0.75 | ~ 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) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_nonzero__inverse__mult__distrib_0,axiom,
% 0.19/0.75 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 0.19/0.75 | c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(V_b,T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a)
% 0.19/0.75 | V_b = c_HOL_Ozero__class_Ozero(T_a)
% 0.19/0.75 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_mult__nonneg__nonpos2_0,axiom,
% 0.19/0.75 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 0.19/0.75 | c_lessequals(c_HOL_Otimes__class_Otimes(V_b,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.19/0.75 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.19/0.75 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_mult__nonpos__nonneg_0,axiom,
% 0.19/0.75 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 0.19/0.75 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.19/0.75 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.19/0.75 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_mult__nonneg__nonpos_0,axiom,
% 0.19/0.75 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 0.19/0.75 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.19/0.75 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.19/0.75 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_split__mult__neg__le_1,axiom,
% 0.19/0.75 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 0.19/0.75 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.19/0.75 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.19/0.75 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_split__mult__neg__le_0,axiom,
% 0.19/0.75 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 0.19/0.75 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.19/0.75 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.19/0.75 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_mult__le__0__iff_5,axiom,
% 0.19/0.75 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.19/0.75 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.19/0.75 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.19/0.75 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_mult__le__0__iff_4,axiom,
% 0.19/0.75 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.19/0.75 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.19/0.75 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.19/0.75 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_not__square__less__zero_0,axiom,
% 0.19/0.75 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.19/0.75 | ~ 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) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_mult__less__cancel__right__disj_0,axiom,
% 0.19/0.75 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.19/0.75 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.19/0.75 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.19/0.75 | ~ 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) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_mult__less__cancel__left__disj_0,axiom,
% 0.19/0.75 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.19/0.75 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.19/0.75 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.19/0.75 | ~ 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) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_mult__mono_H_0,axiom,
% 0.19/0.75 ( ~ class_Ring__and__Field_Opordered__semiring(T_a)
% 0.19/0.75 | 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)
% 0.19/0.75 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.19/0.75 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.19/0.75 | ~ c_lessequals(V_c,V_d,T_a)
% 0.19/0.75 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_mult__mono_0,axiom,
% 0.19/0.75 ( ~ class_Ring__and__Field_Opordered__semiring(T_a)
% 0.19/0.75 | 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)
% 0.19/0.75 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.19/0.75 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.19/0.75 | ~ c_lessequals(V_c,V_d,T_a)
% 0.19/0.75 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_zero__le__mult__iff_3,axiom,
% 0.19/0.75 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.19/0.75 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.19/0.75 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.19/0.75 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_zero__le__mult__iff_2,axiom,
% 0.19/0.75 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.19/0.75 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.19/0.75 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.19/0.75 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_zero__le__mult__iff_1,axiom,
% 0.19/0.75 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.19/0.75 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.19/0.75 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.19/0.75 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_zero__le__mult__iff_0,axiom,
% 0.19/0.75 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.19/0.75 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.19/0.75 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.19/0.75 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_mult__nonneg__nonneg_0,axiom,
% 0.19/0.75 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 0.19/0.75 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 0.19/0.75 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.19/0.75 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_zero__le__mult__iff_5,axiom,
% 0.19/0.75 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.19/0.75 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 0.19/0.75 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.19/0.75 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_zero__le__mult__iff_4,axiom,
% 0.19/0.75 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.19/0.75 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 0.19/0.75 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.19/0.75 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_zero__le__square_0,axiom,
% 0.19/0.75 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.19/0.75 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_a,T_a),T_a) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_mult__nonpos__nonpos_0,axiom,
% 0.19/0.75 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 0.19/0.75 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 0.19/0.75 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.19/0.75 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_split__mult__pos__le_1,axiom,
% 0.19/0.75 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 0.19/0.75 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 0.19/0.75 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.19/0.75 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_split__mult__pos__le_0,axiom,
% 0.19/0.75 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 0.19/0.75 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)
% 0.19/0.75 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.19/0.75 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_mult__right__mono__neg_0,axiom,
% 0.19/0.75 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 0.19/0.75 | 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)
% 0.19/0.75 | ~ c_lessequals(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.19/0.75 | ~ c_lessequals(V_b,V_a,T_a) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_mult__left__mono__neg_0,axiom,
% 0.19/0.75 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 0.19/0.75 | 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)
% 0.19/0.75 | ~ c_lessequals(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.19/0.75 | ~ c_lessequals(V_b,V_a,T_a) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_mult__right__mono_0,axiom,
% 0.19/0.75 ( ~ class_Ring__and__Field_Omult__mono(T_a)
% 0.19/0.75 | 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)
% 0.19/0.75 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.19/0.75 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_mult__left__mono_0,axiom,
% 0.19/0.75 ( ~ class_Ring__and__Field_Omult__mono(T_a)
% 0.19/0.75 | 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)
% 0.19/0.75 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.19/0.75 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_mult__mono1_0,axiom,
% 0.19/0.75 ( ~ class_Ring__and__Field_Omult__mono1(T_a)
% 0.19/0.75 | 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)
% 0.19/0.75 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.19/0.75 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_mult__pos__neg2_0,axiom,
% 0.19/0.75 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.19/0.75 | 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)
% 0.19/0.75 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.19/0.75 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_mult__pos__neg_0,axiom,
% 0.19/0.75 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.19/0.75 | 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)
% 0.19/0.75 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.19/0.75 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_mult__neg__pos_0,axiom,
% 0.19/0.75 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.19/0.75 | 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)
% 0.19/0.75 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.19/0.75 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_mult__le__0__iff_3,axiom,
% 0.19/0.75 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.19/0.75 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.19/0.75 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.19/0.75 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_mult__le__0__iff_2,axiom,
% 0.19/0.75 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.19/0.75 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.19/0.75 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.19/0.75 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_mult__le__0__iff_1,axiom,
% 0.19/0.75 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.19/0.75 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.19/0.75 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.19/0.75 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_mult__le__0__iff_0,axiom,
% 0.19/0.75 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.19/0.75 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.19/0.75 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.19/0.75 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_zero__less__mult__pos2_0,axiom,
% 0.19/0.75 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.19/0.75 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.19/0.75 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.19/0.75 | ~ 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) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_zero__less__mult__pos_0,axiom,
% 0.19/0.75 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.19/0.75 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.19/0.75 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.19/0.75 | ~ 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) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_mult__pos__pos_0,axiom,
% 0.19/0.75 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.19/0.75 | 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)
% 0.19/0.75 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.19/0.75 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_mult__neg__neg_0,axiom,
% 0.19/0.75 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.19/0.75 | 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)
% 0.19/0.75 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.19/0.76 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_mult__strict__left__mono__comm_0,axiom,
% 0.19/0.76 ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(T_a)
% 0.19/0.76 | 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)
% 0.19/0.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.19/0.76 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_mult__less__cancel__right__disj_5,axiom,
% 0.19/0.76 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.19/0.76 | 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)
% 0.19/0.76 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.19/0.76 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_mult__less__cancel__right__disj_4,axiom,
% 0.19/0.76 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.19/0.76 | 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)
% 0.19/0.76 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.19/0.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_mult__strict__right__mono_0,axiom,
% 0.19/0.76 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.19/0.76 | 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)
% 0.19/0.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.19/0.76 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_mult__strict__right__mono__neg_0,axiom,
% 0.19/0.76 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.19/0.76 | 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)
% 0.19/0.76 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.19/0.76 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_mult__less__cancel__left__disj_5,axiom,
% 0.19/0.76 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.19/0.76 | 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)
% 0.19/0.76 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.19/0.76 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_mult__less__cancel__left__disj_4,axiom,
% 0.19/0.76 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.19/0.76 | 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)
% 0.19/0.76 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.19/0.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_mult__strict__left__mono_0,axiom,
% 0.19/0.76 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.19/0.76 | 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)
% 0.19/0.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.19/0.76 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_mult__strict__left__mono__neg_0,axiom,
% 0.19/0.76 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.19/0.76 | 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)
% 0.19/0.76 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.19/0.76 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_mult__less__cancel__left__pos_1,axiom,
% 0.19/0.76 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.19/0.76 | 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)
% 0.19/0.76 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.19/0.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_mult__less__cancel__left__pos_0,axiom,
% 0.19/0.76 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.19/0.76 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.19/0.76 | ~ 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)
% 0.19/0.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_mult__less__cancel__left__neg_1,axiom,
% 0.19/0.76 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.19/0.76 | 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)
% 0.19/0.76 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.19/0.76 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_mult__less__cancel__left__neg_0,axiom,
% 0.19/0.76 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.19/0.76 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.19/0.76 | ~ 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)
% 0.19/0.76 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_add__nonpos__nonpos_0,axiom,
% 0.19/0.76 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.19/0.76 | c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.19/0.76 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.19/0.76 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_double__add__le__zero__iff__single__add__le__zero_1,axiom,
% 0.19/0.76 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.19/0.76 | c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.19/0.76 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_double__add__le__zero__iff__single__add__le__zero_0,axiom,
% 0.19/0.76 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.19/0.76 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.19/0.76 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_add__pos__pos_0,axiom,
% 0.19/0.76 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.19/0.76 | 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)
% 0.19/0.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.19/0.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_zero__le__double__add__iff__zero__le__single__add_1,axiom,
% 0.19/0.76 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.19/0.76 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),T_a)
% 0.19/0.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_zero__le__double__add__iff__zero__le__single__add_0,axiom,
% 0.19/0.76 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.19/0.76 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.19/0.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_add__nonneg__nonneg_0,axiom,
% 0.19/0.76 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.19/0.76 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a)
% 0.19/0.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.19/0.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_zero__less__double__add__iff__zero__less__single__add_1,axiom,
% 0.19/0.76 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.19/0.76 | 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)
% 0.19/0.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_zero__less__double__add__iff__zero__less__single__add_0,axiom,
% 0.19/0.76 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.19/0.76 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.19/0.76 | ~ 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) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_pos__add__strict_0,axiom,
% 0.19/0.76 ( ~ class_Ring__and__Field_Oordered__semidom(T_a)
% 0.19/0.76 | c_HOL_Oord__class_Oless(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a)
% 0.19/0.76 | ~ c_HOL_Oord__class_Oless(V_b,V_c,T_a)
% 0.19/0.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_double__add__less__zero__iff__single__less__zero_1,axiom,
% 0.19/0.76 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.19/0.76 | 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)
% 0.19/0.76 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_double__add__less__zero__iff__single__less__zero_0,axiom,
% 0.19/0.76 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.19/0.76 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.19/0.76 | ~ 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) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_even__less__0__iff_0,axiom,
% 0.19/0.76 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.19/0.76 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.19/0.76 | ~ 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) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_even__less__0__iff_1,axiom,
% 0.19/0.76 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.19/0.76 | 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)
% 0.19/0.76 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_add__nonneg__eq__0__iff_1,axiom,
% 0.19/0.76 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.19/0.76 | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.19/0.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)
% 0.19/0.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a)
% 0.19/0.76 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_add__nonneg__eq__0__iff_0,axiom,
% 0.19/0.76 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.19/0.76 | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.19/0.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)
% 0.19/0.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a)
% 0.19/0.76 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_add__increasing2_0,axiom,
% 0.19/0.76 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.19/0.76 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.19/0.76 | c_lessequals(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a)
% 0.19/0.76 | ~ c_lessequals(V_b,V_a,T_a)
% 0.19/0.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_add__increasing_0,axiom,
% 0.19/0.76 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.19/0.76 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.19/0.76 | c_lessequals(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a)
% 0.19/0.76 | ~ c_lessequals(V_b,V_c,T_a)
% 0.19/0.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_add__nonneg__eq__0__iff_2,axiom,
% 0.19/0.76 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.19/0.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.19/0.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.19/0.76 | 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) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_add__neg__neg_0,axiom,
% 0.19/0.76 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.19/0.76 | 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)
% 0.19/0.76 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.19/0.76 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_pCons__eq__0__iff_0,axiom,
% 0.19/0.76 ( ~ class_HOL_Ozero(T_a)
% 0.19/0.76 | c_Polynomial_OpCons(V_a,V_p,T_a) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))
% 0.19/0.76 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_pCons__0__0_0,axiom,
% 0.19/0.76 ( ~ class_HOL_Ozero(T_a)
% 0.19/0.76 | c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),T_a) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_smult__0__left_0,axiom,
% 0.19/0.76 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a)
% 0.19/0.76 | c_Polynomial_Osmult(c_HOL_Ozero__class_Ozero(T_a),V_p,T_a) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_smult__eq__0__iff_1,axiom,
% 0.19/0.76 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.19/0.76 | c_Polynomial_Osmult(c_HOL_Ozero__class_Ozero(T_a),V_p,T_a) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_smult__eq__0__iff_0,axiom,
% 0.19/0.76 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.19/0.76 | c_Polynomial_Osmult(V_a,V_p,T_a) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))
% 0.19/0.76 | V_p = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))
% 0.19/0.76 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_poly__smult_0,axiom,
% 0.19/0.76 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a)
% 0.19/0.76 | c_Polynomial_Opoly(c_Polynomial_Osmult(V_a,V_p,T_a),V_x,T_a) = c_HOL_Otimes__class_Otimes(V_a,c_Polynomial_Opoly(V_p,V_x,T_a),T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_poly__mult_0,axiom,
% 0.19/0.76 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a)
% 0.19/0.76 | c_Polynomial_Opoly(c_HOL_Otimes__class_Otimes(V_p,V_q,tc_Polynomial_Opoly(T_a)),V_x,T_a) = c_HOL_Otimes__class_Otimes(c_Polynomial_Opoly(V_p,V_x,T_a),c_Polynomial_Opoly(V_q,V_x,T_a),T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_poly__add_0,axiom,
% 0.19/0.76 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a)
% 0.19/0.76 | c_Polynomial_Opoly(c_HOL_Oplus__class_Oplus(V_p,V_q,tc_Polynomial_Opoly(T_a)),V_x,T_a) = c_HOL_Oplus__class_Oplus(c_Polynomial_Opoly(V_p,V_x,T_a),c_Polynomial_Opoly(V_q,V_x,T_a),T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_synthetic__div__unique__lemma_0,axiom,
% 0.19/0.76 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a)
% 0.19/0.76 | c_Polynomial_Osmult(V_c,V_p,T_a) != c_Polynomial_OpCons(V_a,V_p,T_a)
% 0.19/0.76 | V_p = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_add__pos__nonneg_0,axiom,
% 0.19/0.76 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a)
% 0.19/0.76 | 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)
% 0.19/0.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.19/0.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_add__strict__increasing_0,axiom,
% 0.19/0.76 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)
% 0.19/0.76 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.19/0.76 | c_HOL_Oord__class_Oless(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a)
% 0.19/0.76 | ~ c_lessequals(V_b,V_c,T_a)
% 0.19/0.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_mult__le__cancel__left__neg_0,axiom,
% 0.19/0.76 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.19/0.76 | c_lessequals(V_b,V_a,T_a)
% 0.19/0.76 | ~ 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)
% 0.19/0.76 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_mult__le__cancel__left__neg_1,axiom,
% 0.19/0.76 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.19/0.76 | 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)
% 0.19/0.76 | ~ c_lessequals(V_b,V_a,T_a)
% 0.19/0.76 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_mult__le__cancel__left__pos_0,axiom,
% 0.19/0.76 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.19/0.76 | c_lessequals(V_a,V_b,T_a)
% 0.19/0.76 | ~ 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)
% 0.19/0.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_mult__le__cancel__left__pos_1,axiom,
% 0.19/0.76 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.19/0.76 | 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)
% 0.19/0.76 | ~ c_lessequals(V_a,V_b,T_a)
% 0.19/0.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_mult__left__le__imp__le_0,axiom,
% 0.19/0.76 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.19/0.76 | c_lessequals(V_a,V_b,T_a)
% 0.19/0.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.19/0.76 | ~ 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) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_mult__right__le__imp__le_0,axiom,
% 0.19/0.76 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.19/0.76 | c_lessequals(V_a,V_b,T_a)
% 0.19/0.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.19/0.76 | ~ 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) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_mult__strict__mono_0,axiom,
% 0.19/0.76 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.19/0.76 | 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)
% 0.19/0.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.19/0.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.19/0.76 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a)
% 0.19/0.76 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_mult__left__less__imp__less_0,axiom,
% 0.19/0.76 ( ~ class_Ring__and__Field_Oordered__semiring(T_a)
% 0.19/0.76 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.19/0.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.19/0.76 | ~ 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) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_mult__right__less__imp__less_0,axiom,
% 0.19/0.76 ( ~ class_Ring__and__Field_Oordered__semiring(T_a)
% 0.19/0.76 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.19/0.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.19/0.76 | ~ 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) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_mult__less__imp__less__left_0,axiom,
% 0.19/0.76 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.19/0.76 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.19/0.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.19/0.76 | ~ 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) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_mult__less__imp__less__right_0,axiom,
% 0.19/0.76 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.19/0.76 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.19/0.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.19/0.76 | ~ 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) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_mult__strict__mono_H_0,axiom,
% 0.19/0.76 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.19/0.76 | 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)
% 0.19/0.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.19/0.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.19/0.76 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a)
% 0.19/0.76 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_mult__le__less__imp__less_0,axiom,
% 0.19/0.76 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.19/0.76 | 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)
% 0.19/0.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.19/0.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.19/0.76 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a)
% 0.19/0.76 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_mult__less__le__imp__less_0,axiom,
% 0.19/0.76 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.19/0.76 | 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)
% 0.19/0.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.19/0.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.19/0.76 | ~ c_lessequals(V_c,V_d,T_a)
% 0.19/0.76 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_nonzero__inverse__eq__imp__eq_0,axiom,
% 0.19/0.76 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 0.19/0.76 | c_HOL_Oinverse__class_Oinverse(V_a,T_a) != c_HOL_Oinverse__class_Oinverse(V_b,T_a)
% 0.19/0.76 | V_a = V_b
% 0.19/0.76 | V_b = c_HOL_Ozero__class_Ozero(T_a)
% 0.19/0.76 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_inverse__nonzero__iff__nonzero_1,axiom,
% 0.19/0.76 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 0.19/0.76 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.19/0.76 | c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_inverse__zero_0,axiom,
% 0.19/0.76 ( ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.19/0.76 | c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_nonzero__inverse__inverse__eq_0,axiom,
% 0.19/0.76 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 0.19/0.76 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) = V_a
% 0.19/0.76 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_inverse__nonzero__iff__nonzero_0,axiom,
% 0.19/0.76 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 0.19/0.76 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.19/0.76 | c_HOL_Oinverse__class_Oinverse(V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.19/0.76 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_inverse__zero__imp__zero_0,axiom,
% 0.19/0.76 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 0.19/0.76 | c_HOL_Oinverse__class_Oinverse(V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.19/0.76 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_add__le__less__mono_0,axiom,
% 0.19/0.76 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 0.19/0.76 | 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)
% 0.19/0.76 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a)
% 0.19/0.76 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_add__less__le__mono_0,axiom,
% 0.19/0.76 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)
% 0.19/0.76 | 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)
% 0.19/0.76 | ~ c_lessequals(V_c,V_d,T_a)
% 0.19/0.76 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_inverse__positive__iff__positive_0,axiom,
% 0.19/0.76 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.19/0.76 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.19/0.76 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.19/0.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_inverse__positive__iff__positive_1,axiom,
% 0.19/0.76 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.19/0.76 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.19/0.76 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a)
% 0.19/0.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_positive__imp__inverse__positive_0,axiom,
% 0.19/0.76 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.19/0.76 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a)
% 0.19/0.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_inverse__nonpositive__iff__nonpositive_0,axiom,
% 0.19/0.76 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.19/0.76 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.19/0.76 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.19/0.76 | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_inverse__nonpositive__iff__nonpositive_1,axiom,
% 0.19/0.76 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.19/0.76 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.19/0.76 | c_lessequals(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.19/0.76 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_linorder__not__le_1,axiom,
% 0.19/0.76 ( ~ class_Orderings_Olinorder(T_a)
% 0.19/0.76 | ~ c_lessequals(V_x,V_y,T_a)
% 0.19/0.76 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_linorder__not__le_0,axiom,
% 0.19/0.76 ( ~ class_Orderings_Olinorder(T_a)
% 0.19/0.76 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.19/0.76 | c_lessequals(V_x,V_y,T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_linorder__not__less_0,axiom,
% 0.19/0.76 ( ~ class_Orderings_Olinorder(T_a)
% 0.19/0.76 | c_lessequals(V_y,V_x,T_a)
% 0.19/0.76 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_linorder__not__less_1,axiom,
% 0.19/0.76 ( ~ class_Orderings_Olinorder(T_a)
% 0.19/0.76 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.19/0.76 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_linorder__antisym__conv1_1,axiom,
% 0.19/0.76 ( ~ class_Orderings_Olinorder(T_a)
% 0.19/0.76 | c_HOL_Oord__class_Oless(V_x,V_x,T_a)
% 0.19/0.76 | c_lessequals(V_x,V_x,T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_linorder__antisym__conv2_1,axiom,
% 0.19/0.76 ( ~ class_Orderings_Olinorder(T_a)
% 0.19/0.76 | ~ c_lessequals(V_x,V_x,T_a)
% 0.19/0.76 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_not__leE_0,axiom,
% 0.19/0.76 ( ~ class_Orderings_Olinorder(T_a)
% 0.19/0.76 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.19/0.76 | c_lessequals(V_y,V_x,T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_less__le__not__le_1,axiom,
% 0.19/0.76 ( ~ class_Orderings_Opreorder(T_a)
% 0.19/0.76 | ~ c_lessequals(V_y,V_x,T_a)
% 0.19/0.76 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_order__less__trans_0,axiom,
% 0.19/0.76 ( ~ class_Orderings_Opreorder(T_a)
% 0.19/0.76 | c_HOL_Oord__class_Oless(V_x,V_z,T_a)
% 0.19/0.76 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a)
% 0.19/0.76 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_xt1_I10_J_0,axiom,
% 0.19/0.76 ( ~ class_Orderings_Oorder(T_a)
% 0.19/0.76 | c_HOL_Oord__class_Oless(V_z,V_x,T_a)
% 0.19/0.76 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a)
% 0.19/0.76 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_inverse__inverse__eq_0,axiom,
% 0.19/0.76 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 0.19/0.76 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.19/0.76 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) = V_a ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_offset__poly__0_0,axiom,
% 0.19/0.76 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a)
% 0.19/0.76 | c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_h,T_a) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_poly__offset__poly_0,axiom,
% 0.19/0.76 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a)
% 0.19/0.76 | c_Polynomial_Opoly(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(V_p,V_h,T_a),V_x,T_a) = c_Polynomial_Opoly(V_p,c_HOL_Oplus__class_Oplus(V_h,V_x,T_a),T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_synthetic__div__pCons_0,axiom,
% 0.19/0.76 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a)
% 0.19/0.76 | c_Polynomial_Osynthetic__div(c_Polynomial_OpCons(V_a,V_p,T_a),V_c,T_a) = c_Polynomial_OpCons(c_Polynomial_Opoly(V_p,V_c,T_a),c_Polynomial_Osynthetic__div(V_p,V_c,T_a),T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_order__antisym_0,axiom,
% 0.19/0.76 ( ~ class_Orderings_Oorder(T_a)
% 0.19/0.76 | V_x = V_y
% 0.19/0.76 | ~ c_lessequals(V_y,V_x,T_a)
% 0.19/0.76 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_linorder__neqE_0,axiom,
% 0.19/0.76 ( ~ class_Orderings_Olinorder(T_a)
% 0.19/0.76 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.19/0.76 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.19/0.76 | V_x = V_y ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_order__eq__iff_2,axiom,
% 0.19/0.76 ( ~ class_Orderings_Oorder(T_a)
% 0.19/0.76 | V_x = V_y
% 0.19/0.76 | ~ c_lessequals(V_y,V_x,T_a)
% 0.19/0.76 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_order__antisym__conv_0,axiom,
% 0.19/0.76 ( ~ class_Orderings_Oorder(T_a)
% 0.19/0.76 | V_x = V_y
% 0.19/0.76 | ~ c_lessequals(V_x,V_y,T_a)
% 0.19/0.76 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_linorder__less__linear_0,axiom,
% 0.19/0.76 ( ~ class_Orderings_Olinorder(T_a)
% 0.19/0.76 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.19/0.76 | V_x = V_y
% 0.19/0.76 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_linorder__antisym__conv3_0,axiom,
% 0.19/0.76 ( ~ class_Orderings_Olinorder(T_a)
% 0.19/0.76 | V_x = V_y
% 0.19/0.76 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.19/0.76 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_not__less__iff__gr__or__eq_0,axiom,
% 0.19/0.76 ( ~ class_Orderings_Olinorder(T_a)
% 0.19/0.76 | V_x = V_y
% 0.19/0.76 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.19/0.76 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_linorder__neqE__ordered__idom_0,axiom,
% 0.19/0.76 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.19/0.76 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.19/0.76 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.19/0.76 | V_x = V_y ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_inverse__negative__imp__negative_0,axiom,
% 0.19/0.76 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.19/0.76 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.19/0.76 | V_a = c_HOL_Ozero__class_Ozero(T_a)
% 0.19/0.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_inverse__eq__iff__eq_0,axiom,
% 0.19/0.76 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 0.19/0.76 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.19/0.76 | c_HOL_Oinverse__class_Oinverse(V_a,T_a) != c_HOL_Oinverse__class_Oinverse(V_b,T_a)
% 0.19/0.76 | V_a = V_b ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_order__less__le_2,axiom,
% 0.19/0.76 ( ~ class_Orderings_Oorder(T_a)
% 0.19/0.76 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.19/0.76 | V_x = V_y
% 0.19/0.76 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_order__le__less_0,axiom,
% 0.19/0.76 ( ~ class_Orderings_Oorder(T_a)
% 0.19/0.76 | V_x = V_y
% 0.19/0.76 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.19/0.76 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_order__le__neq__trans_0,axiom,
% 0.19/0.76 ( ~ class_Orderings_Oorder(T_a)
% 0.19/0.76 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.19/0.76 | V_a = V_b
% 0.19/0.76 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_order__neq__le__trans_0,axiom,
% 0.19/0.76 ( ~ class_Orderings_Oorder(T_a)
% 0.19/0.76 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.19/0.76 | ~ c_lessequals(V_a,V_b,T_a)
% 0.19/0.76 | V_a = V_b ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_linorder__antisym__conv1_0,axiom,
% 0.19/0.76 ( ~ class_Orderings_Olinorder(T_a)
% 0.19/0.76 | V_x = V_y
% 0.19/0.76 | ~ c_lessequals(V_x,V_y,T_a)
% 0.19/0.76 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_linorder__antisym__conv2_0,axiom,
% 0.19/0.76 ( ~ class_Orderings_Olinorder(T_a)
% 0.19/0.76 | V_x = V_y
% 0.19/0.76 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.19/0.76 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_xt1_I12_J_0,axiom,
% 0.19/0.76 ( ~ class_Orderings_Oorder(T_a)
% 0.19/0.76 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.19/0.76 | ~ c_lessequals(V_b,V_a,T_a)
% 0.19/0.76 | V_a = V_b ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_xt1_I11_J_0,axiom,
% 0.19/0.76 ( ~ class_Orderings_Oorder(T_a)
% 0.19/0.76 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.19/0.76 | V_a = V_b
% 0.19/0.76 | ~ c_lessequals(V_b,V_a,T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_offset__poly__single_0,axiom,
% 0.19/0.76 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a)
% 0.19/0.76 | c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(c_Polynomial_OpCons(V_a,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),T_a),V_h,T_a) = c_Polynomial_OpCons(V_a,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_order__root_1,axiom,
% 0.19/0.76 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.19/0.76 | c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_poly__0_0,axiom,
% 0.19/0.76 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a)
% 0.19/0.76 | c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_offset__poly__eq__0__iff_0,axiom,
% 0.19/0.76 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a)
% 0.19/0.76 | c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(V_p,V_h,T_a) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))
% 0.19/0.76 | V_p = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_inverse__positive__imp__positive_0,axiom,
% 0.19/0.76 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.19/0.76 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.19/0.76 | V_a = c_HOL_Ozero__class_Ozero(T_a)
% 0.19/0.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_inverse__less__imp__less_0,axiom,
% 0.19/0.76 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.19/0.76 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.19/0.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.19/0.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_less__imp__inverse__less_0,axiom,
% 0.19/0.76 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.19/0.76 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_b,T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a)
% 0.19/0.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.19/0.76 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_inverse__less__imp__less__neg_0,axiom,
% 0.19/0.76 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.19/0.76 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.19/0.76 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.19/0.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_less__imp__inverse__less__neg_0,axiom,
% 0.19/0.76 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.19/0.76 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_b,T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a)
% 0.19/0.76 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.19/0.76 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_basic__cqe__conv1_I1_J_0,axiom,
% 0.19/0.76 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a)
% 0.19/0.76 | c_Polynomial_Opoly(V_p,V_x,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.19/0.76 | c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_inverse__nonnegative__iff__nonnegative_0,axiom,
% 0.19/0.76 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.19/0.76 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.19/0.76 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.19/0.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_inverse__nonnegative__iff__nonnegative_1,axiom,
% 0.19/0.76 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.19/0.76 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.19/0.76 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a)
% 0.19/0.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_inverse__le__imp__le_0,axiom,
% 0.19/0.76 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.19/0.76 | c_lessequals(V_b,V_a,T_a)
% 0.19/0.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.19/0.76 | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_le__imp__inverse__le_0,axiom,
% 0.19/0.76 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.19/0.76 | c_lessequals(c_HOL_Oinverse__class_Oinverse(V_b,T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a)
% 0.19/0.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.19/0.76 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_inverse__le__imp__le__neg_0,axiom,
% 0.19/0.76 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.19/0.76 | c_lessequals(V_b,V_a,T_a)
% 0.19/0.76 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.19/0.76 | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_le__imp__inverse__le__neg_0,axiom,
% 0.19/0.76 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.19/0.76 | c_lessequals(c_HOL_Oinverse__class_Oinverse(V_b,T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a)
% 0.19/0.76 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.19/0.76 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_linorder__neq__iff_1,axiom,
% 0.19/0.76 ( ~ class_Orderings_Olinorder(T_a)
% 0.19/0.76 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_order__less__le_1,axiom,
% 0.19/0.76 ( ~ class_Orderings_Oorder(T_a)
% 0.19/0.76 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_order__less__irrefl_0,axiom,
% 0.19/0.76 ( ~ class_Orderings_Opreorder(T_a)
% 0.19/0.76 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_less__le__not__le_2,axiom,
% 0.19/0.76 ( ~ class_Orderings_Opreorder(T_a)
% 0.19/0.76 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.19/0.76 | c_lessequals(V_y,V_x,T_a)
% 0.19/0.76 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_inverse__negative__iff__negative_0,axiom,
% 0.19/0.76 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.19/0.76 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.19/0.76 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.19/0.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_inverse__negative__iff__negative_1,axiom,
% 0.19/0.76 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.19/0.76 | ~ class_Ring__and__Field_Odivision__by__zero(T_a)
% 0.19/0.76 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.19/0.76 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_negative__imp__inverse__negative_0,axiom,
% 0.19/0.76 ( ~ class_Ring__and__Field_Oordered__field(T_a)
% 0.19/0.76 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.19/0.76 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_order__le__less_1,axiom,
% 0.19/0.76 ( ~ class_Orderings_Oorder(T_a)
% 0.19/0.76 | c_lessequals(V_x,V_y,T_a)
% 0.19/0.76 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_order__less__imp__le_0,axiom,
% 0.19/0.76 ( ~ class_Orderings_Opreorder(T_a)
% 0.19/0.76 | c_lessequals(V_x,V_y,T_a)
% 0.19/0.76 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_synthetic__div__0_0,axiom,
% 0.19/0.76 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a)
% 0.19/0.76 | c_Polynomial_Osynthetic__div(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_c,T_a) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_order__eq__refl_0,axiom,
% 0.19/0.76 ( ~ class_Orderings_Opreorder(T_a)
% 0.19/0.76 | c_lessequals(V_x,V_x,T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_order__eq__iff_0,axiom,
% 0.19/0.76 ( ~ class_Orderings_Oorder(T_a)
% 0.19/0.76 | c_lessequals(V_x,V_x,T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_order__le__less__trans_0,axiom,
% 0.19/0.76 ( ~ class_Orderings_Opreorder(T_a)
% 0.19/0.76 | c_HOL_Oord__class_Oless(V_x,V_z,T_a)
% 0.19/0.76 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a)
% 0.19/0.76 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_order__less__le__trans_0,axiom,
% 0.19/0.76 ( ~ class_Orderings_Opreorder(T_a)
% 0.19/0.76 | c_HOL_Oord__class_Oless(V_x,V_z,T_a)
% 0.19/0.76 | ~ c_lessequals(V_y,V_z,T_a)
% 0.19/0.76 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_order__trans_0,axiom,
% 0.19/0.76 ( ~ class_Orderings_Opreorder(T_a)
% 0.19/0.76 | c_lessequals(V_x,V_z,T_a)
% 0.19/0.76 | ~ c_lessequals(V_y,V_z,T_a)
% 0.19/0.76 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_xt1_I8_J_0,axiom,
% 0.19/0.76 ( ~ class_Orderings_Oorder(T_a)
% 0.19/0.76 | c_HOL_Oord__class_Oless(V_z,V_x,T_a)
% 0.19/0.76 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a)
% 0.19/0.76 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_xt1_I7_J_0,axiom,
% 0.19/0.76 ( ~ class_Orderings_Oorder(T_a)
% 0.19/0.76 | c_HOL_Oord__class_Oless(V_z,V_x,T_a)
% 0.19/0.76 | ~ c_lessequals(V_z,V_y,T_a)
% 0.19/0.76 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_xt1_I6_J_0,axiom,
% 0.19/0.76 ( ~ class_Orderings_Oorder(T_a)
% 0.19/0.76 | c_lessequals(V_z,V_x,T_a)
% 0.19/0.76 | ~ c_lessequals(V_z,V_y,T_a)
% 0.19/0.76 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_order__less__asym_H_0,axiom,
% 0.19/0.76 ( ~ class_Orderings_Opreorder(T_a)
% 0.19/0.76 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.19/0.76 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_order__less__asym_0,axiom,
% 0.19/0.76 ( ~ class_Orderings_Opreorder(T_a)
% 0.19/0.76 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.19/0.76 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_linorder__linear_0,axiom,
% 0.19/0.76 ( ~ class_Orderings_Olinorder(T_a)
% 0.19/0.76 | c_lessequals(V_y,V_x,T_a)
% 0.19/0.76 | c_lessequals(V_x,V_y,T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_not__less__iff__gr__or__eq_1,axiom,
% 0.19/0.76 ( ~ class_Orderings_Olinorder(T_a)
% 0.19/0.76 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.19/0.76 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_xt1_I9_J_0,axiom,
% 0.19/0.76 ( ~ class_Orderings_Oorder(T_a)
% 0.19/0.76 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.19/0.76 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_division__ring__inverse__add_0,axiom,
% 0.19/0.76 ( ~ class_Ring__and__Field_Odivision__ring(T_a)
% 0.19/0.76 | c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a),c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a)
% 0.19/0.76 | V_b = c_HOL_Ozero__class_Ozero(T_a)
% 0.19/0.76 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_inverse__add_0,axiom,
% 0.19/0.76 ( ~ class_Ring__and__Field_Ofield(T_a)
% 0.19/0.76 | c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a),c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a)
% 0.19/0.76 | V_b = c_HOL_Ozero__class_Ozero(T_a)
% 0.19/0.76 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_sum__squares__gt__zero__iff_0,axiom,
% 0.19/0.76 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.19/0.76 | ~ 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) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_sum__squares__le__zero__iff_2,axiom,
% 0.19/0.76 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.19/0.76 | 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) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_not__sum__squares__lt__zero_0,axiom,
% 0.19/0.76 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.19/0.76 | ~ 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) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_sum__squares__ge__zero_0,axiom,
% 0.19/0.76 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.19/0.76 | 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) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_sum__squares__le__zero__iff_1,axiom,
% 0.19/0.76 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.19/0.76 | V_y = c_HOL_Ozero__class_Ozero(T_a)
% 0.19/0.76 | ~ 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) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_sum__squares__le__zero__iff_0,axiom,
% 0.19/0.76 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.19/0.76 | V_x = c_HOL_Ozero__class_Ozero(T_a)
% 0.19/0.76 | ~ 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) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_sum__squares__gt__zero__iff_2,axiom,
% 0.19/0.76 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.19/0.76 | 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)
% 0.19/0.76 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_sum__squares__gt__zero__iff_1,axiom,
% 0.19/0.76 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.19/0.76 | 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)
% 0.19/0.76 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_poly__pCons_0,axiom,
% 0.19/0.76 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a)
% 0.19/0.76 | c_Polynomial_Opoly(c_Polynomial_OpCons(V_a,V_p,T_a),V_x,T_a) = c_HOL_Oplus__class_Oplus(V_a,c_HOL_Otimes__class_Otimes(V_x,c_Polynomial_Opoly(V_p,V_x,T_a),T_a),T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_synthetic__div__unique_1,axiom,
% 0.19/0.76 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a)
% 0.19/0.76 | c_HOL_Oplus__class_Oplus(V_p,c_Polynomial_Osmult(V_c,V_q,T_a),tc_Polynomial_Opoly(T_a)) != c_Polynomial_OpCons(V_r,V_q,T_a)
% 0.19/0.76 | V_q = c_Polynomial_Osynthetic__div(V_p,V_c,T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_synthetic__div__unique_0,axiom,
% 0.19/0.76 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a)
% 0.19/0.76 | c_HOL_Oplus__class_Oplus(V_p,c_Polynomial_Osmult(V_c,V_q,T_a),tc_Polynomial_Opoly(T_a)) != c_Polynomial_OpCons(V_r,V_q,T_a)
% 0.19/0.76 | V_r = c_Polynomial_Opoly(V_p,V_c,T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_offset__poly__eq__0__lemma_0,axiom,
% 0.19/0.76 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a)
% 0.19/0.76 | c_HOL_Oplus__class_Oplus(c_Polynomial_Osmult(V_c,V_p,T_a),c_Polynomial_OpCons(V_a,V_p,T_a),tc_Polynomial_Opoly(T_a)) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))
% 0.19/0.76 | V_p = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_offset__poly__pCons_0,axiom,
% 0.19/0.76 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a)
% 0.19/0.76 | c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(c_Polynomial_OpCons(V_a,V_p,T_a),V_h,T_a) = c_HOL_Oplus__class_Oplus(c_Polynomial_Osmult(V_h,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(V_p,V_h,T_a),T_a),c_Polynomial_OpCons(V_a,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(V_p,V_h,T_a),T_a),tc_Polynomial_Opoly(T_a)) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_sum__squares__eq__zero__iff_2,axiom,
% 0.19/0.76 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.19/0.76 | 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) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_mult__pCons__right_0,axiom,
% 0.19/0.76 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a)
% 0.19/0.76 | c_HOL_Otimes__class_Otimes(V_p,c_Polynomial_OpCons(V_a,V_q,T_a),tc_Polynomial_Opoly(T_a)) = c_HOL_Oplus__class_Oplus(c_Polynomial_Osmult(V_a,V_p,T_a),c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_p,V_q,tc_Polynomial_Opoly(T_a)),T_a),tc_Polynomial_Opoly(T_a)) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_mult__pCons__left_0,axiom,
% 0.19/0.76 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a)
% 0.19/0.76 | c_HOL_Otimes__class_Otimes(c_Polynomial_OpCons(V_a,V_p,T_a),V_q,tc_Polynomial_Opoly(T_a)) = c_HOL_Oplus__class_Oplus(c_Polynomial_Osmult(V_a,V_q,T_a),c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_p,V_q,tc_Polynomial_Opoly(T_a)),T_a),tc_Polynomial_Opoly(T_a)) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_mult__eq__0__iff_2,axiom,
% 0.19/0.76 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(T_a)
% 0.19/0.76 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_mult__eq__0__iff_1,axiom,
% 0.19/0.76 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(T_a)
% 0.19/0.76 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_mult__zero__right_0,axiom,
% 0.19/0.76 ( ~ class_Ring__and__Field_Omult__zero(T_a)
% 0.19/0.76 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_mult__zero__left_0,axiom,
% 0.19/0.76 ( ~ class_Ring__and__Field_Omult__zero(T_a)
% 0.19/0.76 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_class__semiring_Omul__0_0,axiom,
% 0.19/0.76 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.19/0.76 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_mult__right_Ozero_0,axiom,
% 0.19/0.76 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 0.19/0.76 | c_HOL_Otimes__class_Otimes(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_mult_Ozero__right_0,axiom,
% 0.19/0.76 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 0.19/0.76 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_mult_Ozero__left_0,axiom,
% 0.19/0.76 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 0.19/0.76 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_mult__left_Ozero_0,axiom,
% 0.19/0.76 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 0.19/0.76 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_class__semiring_Osemiring__rules_I10_J_0,axiom,
% 0.19/0.76 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.19/0.76 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_class__semiring_Osemiring__rules_I9_J_0,axiom,
% 0.19/0.76 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.19/0.76 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_class__ringb_Oadd__mul__solve_0,axiom,
% 0.19/0.77 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.19/0.77 | ~ class_Int_Onumber__ring(T_a)
% 0.19/0.77 | 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)
% 0.19/0.77 | V_y = V_z
% 0.19/0.77 | V_w = V_x ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_class__ringb_Onoteq__reduce_0,axiom,
% 0.19/0.77 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.19/0.77 | ~ class_Int_Onumber__ring(T_a)
% 0.19/0.77 | 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)
% 0.19/0.77 | V_c = V_d
% 0.19/0.77 | V_a = V_b ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_add__pCons_0,axiom,
% 0.19/0.77 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.19/0.77 | c_HOL_Oplus__class_Oplus(c_Polynomial_OpCons(V_a,V_p,T_a),c_Polynomial_OpCons(V_b,V_q,T_a),tc_Polynomial_Opoly(T_a)) = c_Polynomial_OpCons(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Oplus__class_Oplus(V_p,V_q,tc_Polynomial_Opoly(T_a)),T_a) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_comm__monoid__add_Omult__commute_0,axiom,
% 0.19/0.77 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.19/0.77 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) = c_HOL_Oplus__class_Oplus(V_b,V_a,T_a) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_class__semiring_Oadd__c_0,axiom,
% 0.19/0.77 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.19/0.77 | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) = c_HOL_Oplus__class_Oplus(V_y,V_x,T_a) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_class__semiring_Osemiring__rules_I24_J_0,axiom,
% 0.19/0.77 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.19/0.77 | c_HOL_Oplus__class_Oplus(V_a,V_c,T_a) = c_HOL_Oplus__class_Oplus(V_c,V_a,T_a) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_add__cancel__21_0,axiom,
% 0.19/0.77 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.19/0.77 | 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)
% 0.19/0.77 | c_HOL_Oplus__class_Oplus(V_x,V_z,T_a) = V_u ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_add__right__cancel_0,axiom,
% 0.19/0.77 ( ~ class_OrderedGroup_Ocancel__semigroup__add(T_a)
% 0.19/0.77 | c_HOL_Oplus__class_Oplus(V_b,V_a,T_a) != c_HOL_Oplus__class_Oplus(V_c,V_a,T_a)
% 0.19/0.77 | V_b = V_c ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_add__left__cancel_0,axiom,
% 0.19/0.77 ( ~ class_OrderedGroup_Ocancel__semigroup__add(T_a)
% 0.19/0.77 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) != c_HOL_Oplus__class_Oplus(V_a,V_c,T_a)
% 0.19/0.77 | V_b = V_c ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_add__imp__eq_0,axiom,
% 0.19/0.77 ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(T_a)
% 0.19/0.77 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) != c_HOL_Oplus__class_Oplus(V_a,V_c,T_a)
% 0.19/0.77 | V_b = V_c ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_class__ringb_Oadd__cancel_0,axiom,
% 0.19/0.77 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.19/0.77 | ~ class_Int_Onumber__ring(T_a)
% 0.19/0.77 | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) != c_HOL_Oplus__class_Oplus(V_x,V_z,T_a)
% 0.19/0.77 | V_y = V_z ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_class__semiring_Osemiring__rules_I20_J_0,axiom,
% 0.19/0.77 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.19/0.77 | 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) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_class__semiring_Osemiring__rules_I1_J_0,axiom,
% 0.19/0.77 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.19/0.77 | 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) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_comm__semiring__class_Odistrib_0,axiom,
% 0.19/0.77 ( ~ class_Ring__and__Field_Ocomm__semiring(T_a)
% 0.19/0.77 | 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) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_class__semiring_Omul__d_0,axiom,
% 0.19/0.77 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.19/0.77 | 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) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_mult__poly__add__left_0,axiom,
% 0.19/0.77 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a)
% 0.19/0.77 | c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_p,V_q,tc_Polynomial_Opoly(T_a)),V_r,tc_Polynomial_Opoly(T_a)) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_p,V_r,tc_Polynomial_Opoly(T_a)),c_HOL_Otimes__class_Otimes(V_q,V_r,tc_Polynomial_Opoly(T_a)),tc_Polynomial_Opoly(T_a)) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_mult_Oadd__left_0,axiom,
% 0.19/0.77 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 0.19/0.77 | 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) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_mult__left_Oadd_0,axiom,
% 0.19/0.77 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 0.19/0.77 | 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) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_mult_Oadd__right_0,axiom,
% 0.19/0.77 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 0.19/0.77 | 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) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_mult__right_Oadd_0,axiom,
% 0.19/0.77 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 0.19/0.77 | 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) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_class__semiring_Osemiring__rules_I8_J_0,axiom,
% 0.19/0.77 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.19/0.77 | 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) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_class__semiring_Omul__a_0,axiom,
% 0.19/0.77 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.19/0.77 | 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) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_class__semiring_Osemiring__rules_I19_J_0,axiom,
% 0.19/0.77 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.19/0.77 | 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) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_class__semiring_Osemiring__rules_I18_J_0,axiom,
% 0.19/0.77 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.19/0.77 | 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) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_class__semiring_Osemiring__rules_I17_J_0,axiom,
% 0.19/0.77 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.19/0.77 | 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) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_class__semiring_Osemiring__rules_I16_J_0,axiom,
% 0.19/0.77 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.19/0.77 | 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) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_ab__semigroup__mult__class_Omult__ac_I1_J_0,axiom,
% 0.19/0.77 ( ~ class_OrderedGroup_Oab__semigroup__mult(T_a)
% 0.19/0.77 | 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) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_mult__idem_0,axiom,
% 0.19/0.77 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(T_a)
% 0.19/0.77 | c_HOL_Otimes__class_Otimes(V_x,V_x,T_a) = V_x ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_smult__pCons_0,axiom,
% 0.19/0.77 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a)
% 0.19/0.77 | c_Polynomial_Osmult(V_a,c_Polynomial_OpCons(V_b,V_p,T_a),T_a) = c_Polynomial_OpCons(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_Polynomial_Osmult(V_a,V_p,T_a),T_a) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_sum__squares__eq__zero__iff_1,axiom,
% 0.19/0.77 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.19/0.77 | 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)
% 0.19/0.77 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_sum__squares__eq__zero__iff_0,axiom,
% 0.19/0.77 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.19/0.77 | 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)
% 0.19/0.77 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_class__ringb_Oadd__scale__eq__noteq_0,axiom,
% 0.19/0.77 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.19/0.77 | ~ class_Int_Onumber__ring(T_a)
% 0.19/0.77 | 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)
% 0.19/0.77 | V_c = V_d
% 0.19/0.77 | V_r = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_pCons__eq__iff_0,axiom,
% 0.19/0.77 ( ~ class_HOL_Ozero(T_a)
% 0.19/0.77 | c_Polynomial_OpCons(V_a,V_p,T_a) != c_Polynomial_OpCons(V_b,V_q,T_a)
% 0.19/0.77 | V_a = V_b ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_pCons__eq__iff_1,axiom,
% 0.19/0.77 ( ~ class_HOL_Ozero(T_a)
% 0.19/0.77 | c_Polynomial_OpCons(V_a,V_p,T_a) != c_Polynomial_OpCons(V_b,V_q,T_a)
% 0.19/0.77 | V_p = V_q ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_mult__left__idem_0,axiom,
% 0.19/0.77 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(T_a)
% 0.19/0.77 | 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) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_class__semiring_Osemiring__rules_I15_J_0,axiom,
% 0.19/0.77 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.19/0.77 | 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) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_class__semiring_Osemiring__rules_I14_J_0,axiom,
% 0.19/0.77 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.19/0.77 | 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) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_class__semiring_Osemiring__rules_I13_J_0,axiom,
% 0.19/0.77 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.19/0.77 | 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) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_mult__eq__0__iff_0,axiom,
% 0.19/0.77 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(T_a)
% 0.19/0.77 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.19/0.77 | V_b = c_HOL_Ozero__class_Ozero(T_a)
% 0.19/0.77 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_no__zero__divisors_0,axiom,
% 0.19/0.77 ( ~ class_Ring__and__Field_Ono__zero__divisors(T_a)
% 0.19/0.77 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.19/0.77 | V_b = c_HOL_Ozero__class_Ozero(T_a)
% 0.19/0.77 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_no__zero__divirors__neq0_0,axiom,
% 0.19/0.77 ( ~ class_Ring__and__Field_Ono__zero__divisors(T_a)
% 0.19/0.77 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.19/0.77 | V_a = c_HOL_Ozero__class_Ozero(T_a)
% 0.19/0.77 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_double__eq__0__iff_0,axiom,
% 0.19/0.77 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.19/0.77 | c_HOL_Oplus__class_Oplus(V_a,V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a)
% 0.19/0.77 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_class__ringb_Oadd__r0__iff_0,axiom,
% 0.19/0.77 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.19/0.77 | ~ class_Int_Onumber__ring(T_a)
% 0.19/0.77 | V_x != c_HOL_Oplus__class_Oplus(V_x,V_a,T_a)
% 0.19/0.77 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_smult__add__left_0,axiom,
% 0.19/0.77 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a)
% 0.19/0.77 | c_Polynomial_Osmult(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_p,T_a) = c_HOL_Oplus__class_Oplus(c_Polynomial_Osmult(V_a,V_p,T_a),c_Polynomial_Osmult(V_b,V_p,T_a),tc_Polynomial_Opoly(T_a)) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_smult__add__right_0,axiom,
% 0.19/0.77 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a)
% 0.19/0.77 | c_Polynomial_Osmult(V_a,c_HOL_Oplus__class_Oplus(V_p,V_q,tc_Polynomial_Opoly(T_a)),T_a) = c_HOL_Oplus__class_Oplus(c_Polynomial_Osmult(V_a,V_p,T_a),c_Polynomial_Osmult(V_a,V_q,T_a),tc_Polynomial_Opoly(T_a)) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_class__ringb_Oadd__mul__solve_1,axiom,
% 0.19/0.77 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.19/0.77 | ~ class_Int_Onumber__ring(T_a)
% 0.19/0.77 | 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) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_class__ringb_Onoteq__reduce_1,axiom,
% 0.19/0.77 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.19/0.77 | ~ class_Int_Onumber__ring(T_a)
% 0.19/0.77 | 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) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_class__semiring_Omul__c_0,axiom,
% 0.19/0.77 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.19/0.77 | c_HOL_Otimes__class_Otimes(V_x,V_y,T_a) = c_HOL_Otimes__class_Otimes(V_y,V_x,T_a) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_double__eq__0__iff_1,axiom,
% 0.19/0.77 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.19/0.77 | 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) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_class__semiring_Osemiring__rules_I7_J_0,axiom,
% 0.19/0.77 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.19/0.77 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) = c_HOL_Otimes__class_Otimes(V_b,V_a,T_a) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_comm__monoid__add_Omult__left__commute_0,axiom,
% 0.19/0.77 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.19/0.77 | 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) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_comm__monoid__add_Omult__assoc_0,axiom,
% 0.19/0.77 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.19/0.77 | 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) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_class__semiring_Oadd__a_0,axiom,
% 0.19/0.77 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.19/0.77 | 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) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_add__cancel__21_1,axiom,
% 0.19/0.77 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.19/0.77 | 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) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_ab__semigroup__add__class_Oadd__ac_I1_J_0,axiom,
% 0.19/0.77 ( ~ class_OrderedGroup_Oab__semigroup__add(T_a)
% 0.19/0.77 | 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) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_class__semiring_Osemiring__rules_I25_J_0,axiom,
% 0.19/0.77 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.19/0.77 | 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) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_class__semiring_Osemiring__rules_I23_J_0,axiom,
% 0.19/0.77 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.19/0.77 | 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) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_class__semiring_Osemiring__rules_I22_J_0,axiom,
% 0.19/0.77 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.19/0.77 | 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) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_class__semiring_Osemiring__rules_I21_J_0,axiom,
% 0.19/0.77 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.19/0.77 | 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) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_combine__common__factor_0,axiom,
% 0.19/0.77 ( ~ class_Ring__and__Field_Osemiring(T_a)
% 0.19/0.77 | 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) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_mult__smult__right_0,axiom,
% 0.19/0.77 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a)
% 0.19/0.77 | c_HOL_Otimes__class_Otimes(V_p,c_Polynomial_Osmult(V_a,V_q,T_a),tc_Polynomial_Opoly(T_a)) = c_Polynomial_Osmult(V_a,c_HOL_Otimes__class_Otimes(V_p,V_q,tc_Polynomial_Opoly(T_a)),T_a) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_mult__smult__left_0,axiom,
% 0.19/0.77 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a)
% 0.19/0.77 | c_HOL_Otimes__class_Otimes(c_Polynomial_Osmult(V_a,V_p,T_a),V_q,tc_Polynomial_Opoly(T_a)) = c_Polynomial_Osmult(V_a,c_HOL_Otimes__class_Otimes(V_p,V_q,tc_Polynomial_Opoly(T_a)),T_a) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_smult__smult_0,axiom,
% 0.19/0.77 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a)
% 0.19/0.77 | c_Polynomial_Osmult(V_a,c_Polynomial_Osmult(V_b,V_p,T_a),T_a) = c_Polynomial_Osmult(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_p,T_a) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_monoid__add__class_Oadd__0__right_0,axiom,
% 0.19/0.77 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 0.19/0.77 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_add__0__left_0,axiom,
% 0.19/0.77 ( ~ class_OrderedGroup_Omonoid__add(T_a)
% 0.19/0.77 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = V_a ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_comm__monoid__add_Omult__1__right_0,axiom,
% 0.19/0.77 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.19/0.77 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_class__ringb_Oadd__r0__iff_1,axiom,
% 0.19/0.77 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.19/0.77 | ~ class_Int_Onumber__ring(T_a)
% 0.19/0.77 | V_x = c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_class__semiring_Oadd__0_0,axiom,
% 0.19/0.77 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.19/0.77 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) = V_x ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_comm__monoid__add_Omult__1_0,axiom,
% 0.19/0.77 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)
% 0.19/0.77 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = V_a ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_class__semiring_Osemiring__rules_I6_J_0,axiom,
% 0.19/0.77 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.19/0.77 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_class__semiring_Osemiring__rules_I5_J_0,axiom,
% 0.19/0.77 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.19/0.77 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = V_a ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_conjecture_0,negated_conjecture,
% 0.19/0.77 c_HOL_Otimes__class_Otimes(c_Polynomial_OpCons(v_a,c_Polynomial_OpCons(v_b,v_p,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_HOL_Oplus__class_Oplus(c_Polynomial_Osmult(v_a,v_q,tc_Complex_Ocomplex),c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Polynomial_OpCons(v_b,v_p,tc_Complex_Ocomplex),v_q,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ).
% 0.19/0.77
% 0.19/0.77 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Ocancel__comm__monoid__add,axiom,
% 0.19/0.77 ( class_OrderedGroup_Ocancel__comm__monoid__add(tc_Polynomial_Opoly(T_1))
% 0.19/0.77 | ~ class_OrderedGroup_Ocancel__comm__monoid__add(T_1) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Ocomm__ring__1,axiom,
% 0.19/0.77 ( class_Ring__and__Field_Ocomm__ring__1(tc_Polynomial_Opoly(T_1))
% 0.19/0.77 | ~ class_Ring__and__Field_Ocomm__ring__1(T_1) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ocancel__comm__monoid__add,axiom,
% 0.19/0.77 class_OrderedGroup_Ocancel__comm__monoid__add(tc_Complex_Ocomplex) ).
% 0.19/0.77
% 0.19/0.77 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__ring__1,axiom,
% 0.19/0.77 class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex) ).
% 0.19/0.77
% 0.19/0.77 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Oring__no__zero__divisors,axiom,
% 0.19/0.77 class_Ring__and__Field_Oring__no__zero__divisors(tc_Complex_Ocomplex) ).
% 0.19/0.77
% 0.19/0.77 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ocancel__ab__semigroup__add,axiom,
% 0.19/0.77 class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Complex_Ocomplex) ).
% 0.19/0.77
% 0.19/0.77 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ocancel__semigroup__add,axiom,
% 0.19/0.77 class_OrderedGroup_Ocancel__semigroup__add(tc_Complex_Ocomplex) ).
% 0.19/0.77
% 0.19/0.77 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ono__zero__divisors,axiom,
% 0.19/0.77 class_Ring__and__Field_Ono__zero__divisors(tc_Complex_Ocomplex) ).
% 0.19/0.77
% 0.19/0.77 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Odivision__by__zero,axiom,
% 0.19/0.77 class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex) ).
% 0.19/0.77
% 0.19/0.77 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__1,axiom,
% 0.19/0.77 class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ).
% 0.19/0.77
% 0.19/0.77 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__0,axiom,
% 0.19/0.77 class_Ring__and__Field_Ocomm__semiring__0(tc_Complex_Ocomplex) ).
% 0.19/0.77
% 0.19/0.77 cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__algebra,axiom,
% 0.19/0.77 class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex) ).
% 0.19/0.77
% 0.19/0.77 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Oab__semigroup__mult,axiom,
% 0.19/0.77 class_OrderedGroup_Oab__semigroup__mult(tc_Complex_Ocomplex) ).
% 0.19/0.77
% 0.19/0.77 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Oab__semigroup__add,axiom,
% 0.19/0.77 class_OrderedGroup_Oab__semigroup__add(tc_Complex_Ocomplex) ).
% 0.19/0.77
% 0.19/0.77 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Odivision__ring,axiom,
% 0.19/0.77 class_Ring__and__Field_Odivision__ring(tc_Complex_Ocomplex) ).
% 0.19/0.77
% 0.19/0.77 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring,axiom,
% 0.19/0.77 class_Ring__and__Field_Ocomm__semiring(tc_Complex_Ocomplex) ).
% 0.19/0.77
% 0.19/0.77 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ocomm__monoid__add,axiom,
% 0.19/0.77 class_OrderedGroup_Ocomm__monoid__add(tc_Complex_Ocomplex) ).
% 0.19/0.77
% 0.19/0.77 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Oab__group__add,axiom,
% 0.19/0.77 class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex) ).
% 0.19/0.77
% 0.19/0.77 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Omult__zero,axiom,
% 0.19/0.77 class_Ring__and__Field_Omult__zero(tc_Complex_Ocomplex) ).
% 0.19/0.77
% 0.19/0.77 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Osemiring,axiom,
% 0.19/0.77 class_Ring__and__Field_Osemiring(tc_Complex_Ocomplex) ).
% 0.19/0.77
% 0.19/0.77 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__add,axiom,
% 0.19/0.77 class_OrderedGroup_Omonoid__add(tc_Complex_Ocomplex) ).
% 0.19/0.77
% 0.19/0.77 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ofield,axiom,
% 0.19/0.77 class_Ring__and__Field_Ofield(tc_Complex_Ocomplex) ).
% 0.19/0.77
% 0.19/0.77 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Oidom,axiom,
% 0.19/0.77 class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ).
% 0.19/0.77
% 0.19/0.77 cnf(clsarity_Complex__Ocomplex__Int_Onumber__ring,axiom,
% 0.19/0.77 class_Int_Onumber__ring(tc_Complex_Ocomplex) ).
% 0.19/0.77
% 0.19/0.77 cnf(clsarity_Complex__Ocomplex__HOL_Ozero,axiom,
% 0.19/0.77 class_HOL_Ozero(tc_Complex_Ocomplex) ).
% 0.19/0.77
% 0.19/0.77 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Opordered__cancel__ab__semigroup__add,axiom,
% 0.19/0.77 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_Polynomial_Opoly(T_1))
% 0.19/0.77 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Opordered__ab__semigroup__add__imp__le,axiom,
% 0.19/0.77 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_Polynomial_Opoly(T_1))
% 0.19/0.77 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oordered__comm__semiring__strict,axiom,
% 0.19/0.77 ( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_Polynomial_Opoly(T_1))
% 0.19/0.77 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Opordered__cancel__semiring,axiom,
% 0.19/0.77 ( class_Ring__and__Field_Opordered__cancel__semiring(tc_Polynomial_Opoly(T_1))
% 0.19/0.77 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oordered__semiring__strict,axiom,
% 0.19/0.77 ( class_Ring__and__Field_Oordered__semiring__strict(tc_Polynomial_Opoly(T_1))
% 0.19/0.77 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Opordered__ab__semigroup__add,axiom,
% 0.19/0.77 ( class_OrderedGroup_Opordered__ab__semigroup__add(tc_Polynomial_Opoly(T_1))
% 0.19/0.77 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Opordered__comm__monoid__add,axiom,
% 0.19/0.77 ( class_OrderedGroup_Opordered__comm__monoid__add(tc_Polynomial_Opoly(T_1))
% 0.19/0.77 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oring__no__zero__divisors,axiom,
% 0.19/0.77 ( class_Ring__and__Field_Oring__no__zero__divisors(tc_Polynomial_Opoly(T_1))
% 0.19/0.77 | ~ class_Ring__and__Field_Oidom(T_1) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Ocancel__ab__semigroup__add,axiom,
% 0.19/0.77 ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Polynomial_Opoly(T_1))
% 0.19/0.77 | ~ class_OrderedGroup_Ocancel__comm__monoid__add(T_1) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oordered__ring__strict,axiom,
% 0.19/0.77 ( class_Ring__and__Field_Oordered__ring__strict(tc_Polynomial_Opoly(T_1))
% 0.19/0.77 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Opordered__ab__group__add,axiom,
% 0.19/0.77 ( class_OrderedGroup_Opordered__ab__group__add(tc_Polynomial_Opoly(T_1))
% 0.19/0.77 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Ocancel__semigroup__add,axiom,
% 0.19/0.77 ( class_OrderedGroup_Ocancel__semigroup__add(tc_Polynomial_Opoly(T_1))
% 0.19/0.77 | ~ class_OrderedGroup_Ocancel__comm__monoid__add(T_1) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Opordered__semiring,axiom,
% 0.19/0.77 ( class_Ring__and__Field_Opordered__semiring(tc_Polynomial_Opoly(T_1))
% 0.19/0.77 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oordered__semiring,axiom,
% 0.19/0.77 ( class_Ring__and__Field_Oordered__semiring(tc_Polynomial_Opoly(T_1))
% 0.19/0.77 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Ono__zero__divisors,axiom,
% 0.19/0.77 ( class_Ring__and__Field_Ono__zero__divisors(tc_Polynomial_Opoly(T_1))
% 0.19/0.77 | ~ class_Ring__and__Field_Oidom(T_1) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oordered__semidom,axiom,
% 0.19/0.77 ( class_Ring__and__Field_Oordered__semidom(tc_Polynomial_Opoly(T_1))
% 0.19/0.77 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Ocomm__semiring__1,axiom,
% 0.19/0.77 ( class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(T_1))
% 0.19/0.77 | ~ class_Ring__and__Field_Ocomm__semiring__1(T_1) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Ocomm__semiring__0,axiom,
% 0.19/0.77 ( class_Ring__and__Field_Ocomm__semiring__0(tc_Polynomial_Opoly(T_1))
% 0.19/0.77 | ~ class_Ring__and__Field_Ocomm__semiring__0(T_1) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Oab__semigroup__mult,axiom,
% 0.19/0.77 ( class_OrderedGroup_Oab__semigroup__mult(tc_Polynomial_Opoly(T_1))
% 0.19/0.77 | ~ class_Ring__and__Field_Ocomm__semiring__0(T_1) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Oab__semigroup__add,axiom,
% 0.19/0.77 ( class_OrderedGroup_Oab__semigroup__add(tc_Polynomial_Opoly(T_1))
% 0.19/0.77 | ~ class_OrderedGroup_Ocomm__monoid__add(T_1) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Opordered__ring,axiom,
% 0.19/0.77 ( class_Ring__and__Field_Opordered__ring(tc_Polynomial_Opoly(T_1))
% 0.19/0.77 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Ocomm__semiring,axiom,
% 0.19/0.77 ( class_Ring__and__Field_Ocomm__semiring(tc_Polynomial_Opoly(T_1))
% 0.19/0.77 | ~ class_Ring__and__Field_Ocomm__semiring__0(T_1) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Ocomm__monoid__add,axiom,
% 0.19/0.77 ( class_OrderedGroup_Ocomm__monoid__add(tc_Polynomial_Opoly(T_1))
% 0.19/0.77 | ~ class_OrderedGroup_Ocomm__monoid__add(T_1) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oordered__idom,axiom,
% 0.19/0.77 ( class_Ring__and__Field_Oordered__idom(tc_Polynomial_Opoly(T_1))
% 0.19/0.77 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Omult__mono1,axiom,
% 0.19/0.77 ( class_Ring__and__Field_Omult__mono1(tc_Polynomial_Opoly(T_1))
% 0.19/0.77 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Oab__group__add,axiom,
% 0.19/0.77 ( class_OrderedGroup_Oab__group__add(tc_Polynomial_Opoly(T_1))
% 0.19/0.77 | ~ class_OrderedGroup_Oab__group__add(T_1) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Omult__zero,axiom,
% 0.19/0.77 ( class_Ring__and__Field_Omult__zero(tc_Polynomial_Opoly(T_1))
% 0.19/0.77 | ~ class_Ring__and__Field_Ocomm__semiring__0(T_1) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Omult__mono,axiom,
% 0.19/0.77 ( class_Ring__and__Field_Omult__mono(tc_Polynomial_Opoly(T_1))
% 0.19/0.77 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Osemiring,axiom,
% 0.19/0.77 ( class_Ring__and__Field_Osemiring(tc_Polynomial_Opoly(T_1))
% 0.19/0.77 | ~ class_Ring__and__Field_Ocomm__semiring__0(T_1) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Omonoid__add,axiom,
% 0.19/0.77 ( class_OrderedGroup_Omonoid__add(tc_Polynomial_Opoly(T_1))
% 0.19/0.77 | ~ class_OrderedGroup_Ocomm__monoid__add(T_1) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oidom,axiom,
% 0.19/0.77 ( class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(T_1))
% 0.19/0.77 | ~ class_Ring__and__Field_Oidom(T_1) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(clsarity_Polynomial__Opoly__Orderings_Opreorder,axiom,
% 0.19/0.77 ( class_Orderings_Opreorder(tc_Polynomial_Opoly(T_1))
% 0.19/0.77 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(clsarity_Polynomial__Opoly__Orderings_Olinorder,axiom,
% 0.19/0.77 ( class_Orderings_Olinorder(tc_Polynomial_Opoly(T_1))
% 0.19/0.77 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(clsarity_Polynomial__Opoly__Orderings_Oorder,axiom,
% 0.19/0.77 ( class_Orderings_Oorder(tc_Polynomial_Opoly(T_1))
% 0.19/0.77 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(clsarity_Polynomial__Opoly__Int_Onumber__ring,axiom,
% 0.19/0.77 ( class_Int_Onumber__ring(tc_Polynomial_Opoly(T_1))
% 0.19/0.77 | ~ class_Ring__and__Field_Ocomm__ring__1(T_1) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(clsarity_Polynomial__Opoly__HOL_Ozero,axiom,
% 0.19/0.77 ( class_HOL_Ozero(tc_Polynomial_Opoly(T_1))
% 0.19/0.77 | ~ class_HOL_Ozero(T_1) ) ).
% 0.19/0.77
% 0.19/0.77 %------------------------------------------------------------------------------
% 0.19/0.77 %-------------------------------------------
% 0.19/0.77 % Proof found
% 0.19/0.77 % SZS status Theorem for theBenchmark
% 0.19/0.77 % SZS output start Proof
% 0.19/0.77 %ClaNum:478(EqnAxiom:86)
% 0.19/0.77 %VarNum:3024(SingletonVarNum:937)
% 0.19/0.77 %MaxLitNum:6
% 0.19/0.77 %MaxfuncDepth:4
% 0.19/0.77 %SharedTerms:47
% 0.19/0.77 %goalClause: 110
% 0.19/0.77 %singleGoalClaCount:1
% 0.19/0.77 [87]P1(a1)
% 0.19/0.77 [88]P28(a1)
% 0.19/0.77 [89]P29(a1)
% 0.19/0.77 [90]P2(a1)
% 0.19/0.77 [91]P3(a1)
% 0.19/0.77 [92]P32(a1)
% 0.19/0.77 [93]P31(a1)
% 0.19/0.77 [94]P33(a1)
% 0.19/0.77 [95]P34(a1)
% 0.19/0.77 [96]P30(a1)
% 0.19/0.77 [97]P15(a1)
% 0.19/0.77 [98]P7(a1)
% 0.19/0.77 [99]P8(a1)
% 0.19/0.77 [100]P9(a1)
% 0.19/0.77 [101]P10(a1)
% 0.19/0.77 [102]P26(a1)
% 0.19/0.77 [103]P11(a1)
% 0.19/0.77 [104]P37(a1)
% 0.19/0.77 [105]P12(a1)
% 0.19/0.77 [106]P48(a1)
% 0.19/0.77 [107]P16(a1)
% 0.19/0.77 [108]P14(a1)
% 0.19/0.77 [109]P27(a1)
% 0.19/0.77 [110]~E(f5(f2(a13,a15,a1),f8(f3(a1),f4(f8(a16,a17,a1),a15,f14(a1)),a1),f14(a1)),f4(f8(a13,f8(a16,a17,a1),a1),a15,f14(a1)))
% 0.19/0.77 [111]~P38(x1111)+P38(f14(x1111))
% 0.19/0.77 [112]~P1(x1121)+P1(f14(x1121))
% 0.19/0.77 [113]~P38(x1131)+P18(f14(x1131))
% 0.19/0.77 [114]~P38(x1141)+P19(f14(x1141))
% 0.19/0.77 [115]~P38(x1151)+P21(f14(x1151))
% 0.19/0.77 [116]~P38(x1161)+P20(f14(x1161))
% 0.19/0.77 [117]~P38(x1171)+P41(f14(x1171))
% 0.19/0.77 [118]~P2(x1181)+P2(f14(x1181))
% 0.19/0.77 [119]~P38(x1191)+P22(f14(x1191))
% 0.19/0.77 [120]~P3(x1201)+P3(f14(x1201))
% 0.19/0.77 [121]~P32(x1211)+P32(f14(x1211))
% 0.19/0.77 [122]~P38(x1221)+P42(f14(x1221))
% 0.19/0.77 [123]~P38(x1231)+P46(f14(x1231))
% 0.19/0.77 [124]~P38(x1241)+P47(f14(x1241))
% 0.19/0.77 [125]~P38(x1251)+P35(f14(x1251))
% 0.19/0.77 [126]~P38(x1261)+P36(f14(x1261))
% 0.19/0.77 [127]~P38(x1271)+P43(f14(x1271))
% 0.19/0.77 [128]~P38(x1281)+P39(f14(x1281))
% 0.19/0.77 [129]~P38(x1291)+P44(f14(x1291))
% 0.19/0.77 [130]~P38(x1301)+P45(f14(x1301))
% 0.19/0.77 [131]~P38(x1311)+P23(f14(x1311))
% 0.19/0.77 [132]~P38(x1321)+P24(f14(x1321))
% 0.19/0.77 [133]~P38(x1331)+P25(f14(x1331))
% 0.19/0.77 [134]~P32(x1341)+P33(f14(x1341))
% 0.19/0.77 [135]~P1(x1351)+P34(f14(x1351))
% 0.19/0.77 [136]~P30(x1361)+P30(f14(x1361))
% 0.19/0.77 [137]~P27(x1371)+P7(f14(x1371))
% 0.19/0.77 [138]~P8(x1381)+P8(f14(x1381))
% 0.19/0.77 [139]~P14(x1391)+P9(f14(x1391))
% 0.19/0.77 [140]~P14(x1401)+P10(f14(x1401))
% 0.19/0.77 [141]~P1(x1411)+P26(f14(x1411))
% 0.19/0.77 [142]~P1(x1421)+P11(f14(x1421))
% 0.19/0.77 [143]~P32(x1431)+P37(f14(x1431))
% 0.19/0.77 [144]~P2(x1441)+P12(f14(x1441))
% 0.19/0.77 [145]~P1(x1451)+P48(f14(x1451))
% 0.19/0.77 [146]~P2(x1461)+P16(f14(x1461))
% 0.19/0.77 [147]~P14(x1471)+P14(f14(x1471))
% 0.19/0.77 [148]~P27(x1481)+P27(f14(x1481))
% 0.19/0.77 [149]~P29(x1491)+E(f6(f3(x1491),x1491),f3(x1491))
% 0.19/0.77 [155]~P38(x1551)+~P4(f3(f14(x1551)),x1551)
% 0.19/0.77 [182]~P17(x1821)+E(f5(f3(x1821),f3(x1821),x1821),f3(x1821))
% 0.19/0.77 [196]~P3(x1961)+E(f8(f3(x1961),f3(f14(x1961)),x1961),f3(f14(x1961)))
% 0.19/0.77 [304]~P41(x3041)+E(f5(f4(f3(x3041),f3(x3041),x3041),f4(f3(x3041),f3(x3041),x3041),x3041),f3(x3041))
% 0.19/0.77 [469]~P41(x4691)+P6(f5(f4(f3(x4691),f3(x4691),x4691),f4(f3(x4691),f3(x4691),x4691),x4691),f3(x4691),x4691)
% 0.19/0.77 [478]~P41(x4781)+~P5(f3(x4781),f5(f4(f3(x4781),f3(x4781),x4781),f4(f3(x4781),f3(x4781),x4781),x4781),x4781)
% 0.19/0.77 [258]~P1(a12)+E(f9(f8(f3(a12),f3(f14(a12)),a12),x2581,a12),f3(a12))
% 0.19/0.77 [157]~P24(x1572)+P6(x1571,x1571,x1572)
% 0.19/0.77 [158]~P25(x1582)+P6(x1581,x1581,x1582)
% 0.19/0.77 [192]~P5(x1922,x1922,x1921)+~P23(x1921)
% 0.19/0.77 [193]~P5(x1932,x1932,x1931)+~P24(x1931)
% 0.19/0.77 [194]~P5(x1942,x1942,x1941)+~P25(x1941)
% 0.19/0.77 [159]~P13(x1592)+E(f4(x1591,x1591,x1592),x1591)
% 0.19/0.77 [233]~P41(x2331)+P6(f3(x2331),f4(x2332,x2332,x2331),x2331)
% 0.19/0.77 [289]~P41(x2891)+~P5(f4(x2892,x2892,x2891),f3(x2891),x2891)
% 0.19/0.77 [161]~P2(x1612)+E(f5(x1611,f3(x1612),x1612),x1611)
% 0.19/0.77 [162]~P30(x1622)+E(f5(x1621,f3(x1622),x1622),x1621)
% 0.19/0.77 [163]~P16(x1632)+E(f5(x1631,f3(x1632),x1632),x1631)
% 0.19/0.77 [164]~P2(x1641)+E(f5(f3(x1641),x1642,x1641),x1642)
% 0.19/0.77 [166]~P30(x1661)+E(f5(f3(x1661),x1662,x1661),x1662)
% 0.19/0.77 [167]~P16(x1671)+E(f5(f3(x1671),x1672,x1671),x1672)
% 0.19/0.77 [168]~P33(x1682)+E(f4(x1681,f3(x1682),x1682),f3(x1682))
% 0.19/0.77 [169]~P34(x1692)+E(f4(x1691,f3(x1692),x1692),f3(x1692))
% 0.19/0.77 [170]~P30(x1702)+E(f4(x1701,f3(x1702),x1702),f3(x1702))
% 0.19/0.77 [172]~P15(x1722)+E(f4(x1721,f3(x1722),x1722),f3(x1722))
% 0.19/0.77 [173]~P33(x1731)+E(f4(f3(x1731),x1732,x1731),f3(x1731))
% 0.19/0.77 [174]~P34(x1741)+E(f4(f3(x1741),x1742,x1741),f3(x1741))
% 0.19/0.77 [176]~P30(x1761)+E(f4(f3(x1761),x1762,x1761),f3(x1761))
% 0.19/0.77 [178]~P15(x1781)+E(f4(f3(x1781),x1782,x1781),f3(x1781))
% 0.19/0.77 [180]~P1(x1801)+E(f2(f3(x1801),x1802,x1801),f3(f14(x1801)))
% 0.19/0.77 [181]~P32(x1811)+E(f2(f3(x1811),x1812,x1811),f3(f14(x1811)))
% 0.19/0.77 [185]~P2(x1852)+E(f5(x1851,f3(f14(x1852)),f14(x1852)),x1851)
% 0.19/0.77 [186]~P2(x1861)+E(f5(f3(f14(x1861)),x1862,f14(x1861)),x1862)
% 0.19/0.77 [195]~P1(x1952)+E(f4(x1951,f3(f14(x1952)),f14(x1952)),f3(f14(x1952)))
% 0.19/0.77 [197]~P1(x1971)+E(f4(f3(f14(x1971)),x1972,f14(x1971)),f3(f14(x1971)))
% 0.19/0.77 [183]~P1(x1831)+E(f9(f3(f14(x1831)),x1832,x1831),f3(x1831))
% 0.19/0.77 [184]~P32(x1841)+E(f9(f3(f14(x1841)),x1842,x1841),f3(x1841))
% 0.19/0.77 [187]~P1(x1872)+E(f2(x1871,f3(f14(x1872)),x1872),f3(f14(x1872)))
% 0.19/0.77 [188]~P32(x1882)+E(f2(x1881,f3(f14(x1882)),x1882),f3(f14(x1882)))
% 0.19/0.77 [189]~P1(x1891)+E(f10(f3(f14(x1891)),x1892,x1891),f3(f14(x1891)))
% 0.19/0.77 [190]~P1(x1901)+E(f11(f3(f14(x1901)),x1902,x1901),f3(f14(x1901)))
% 0.19/0.77 [191]~P1(x1911)+E(f7(f3(f14(x1911)),x1912,x1911),f3(f14(x1911)))
% 0.19/0.77 [204]~P2(x2043)+E(f5(x2041,x2042,x2043),f5(x2042,x2041,x2043))
% 0.19/0.77 [206]~P30(x2063)+E(f5(x2061,x2062,x2063),f5(x2062,x2061,x2063))
% 0.19/0.77 [208]~P30(x2083)+E(f4(x2081,x2082,x2083),f4(x2082,x2081,x2083))
% 0.19/0.77 [271]~P13(x2713)+E(f4(x2711,f4(x2711,x2712,x2713),x2713),f4(x2711,x2712,x2713))
% 0.19/0.77 [455]~P41(x4551)+P6(f3(x4551),f5(f4(x4552,x4552,x4551),f4(x4553,x4553,x4551),x4551),x4551)
% 0.19/0.77 [466]~P1(x4663)+E(f5(x4661,f2(x4662,f11(x4661,x4662,x4663),x4663),f14(x4663)),f8(f9(x4661,x4662,x4663),f11(x4661,x4662,x4663),x4663))
% 0.19/0.77 [475]~P41(x4751)+~P5(f5(f4(x4752,x4752,x4751),f4(x4753,x4753,x4751),x4751),f3(x4751),x4751)
% 0.19/0.77 [291]~P1(x2912)+E(f7(f8(x2911,f3(f14(x2912)),x2912),x2913,x2912),f8(x2911,f3(f14(x2912)),x2912))
% 0.19/0.77 [305]~P2(x3054)+E(f5(x3051,f5(x3052,x3053,x3054),x3054),f5(x3052,f5(x3051,x3053,x3054),x3054))
% 0.19/0.77 [306]~P30(x3064)+E(f5(x3061,f5(x3062,x3063,x3064),x3064),f5(x3062,f5(x3061,x3063,x3064),x3064))
% 0.19/0.77 [307]~P8(x3074)+E(f5(x3071,f5(x3072,x3073,x3074),x3074),f5(x3072,f5(x3071,x3073,x3074),x3074))
% 0.19/0.77 [308]~P30(x3084)+E(f4(x3081,f4(x3082,x3083,x3084),x3084),f4(x3082,f4(x3081,x3083,x3084),x3084))
% 0.19/0.77 [313]~P1(x3133)+E(f2(f4(x3131,x3132,x3133),x3134,x3133),f2(x3131,f2(x3132,x3134,x3133),x3133))
% 0.19/0.77 [314]~P1(x3143)+E(f9(f10(x3141,x3142,x3143),x3144,x3143),f9(x3141,f9(x3142,x3144,x3143),x3143))
% 0.19/0.77 [315]~P1(x3153)+E(f9(f2(x3151,x3152,x3153),x3154,x3153),f4(x3151,f9(x3152,x3154,x3153),x3153))
% 0.19/0.77 [316]~P1(x3163)+E(f9(f7(x3161,x3162,x3163),x3164,x3163),f9(x3161,f5(x3162,x3164,x3163),x3163))
% 0.19/0.77 [317]~P2(x3173)+E(f5(f5(x3171,x3172,x3173),x3174,x3173),f5(x3171,f5(x3172,x3174,x3173),x3173))
% 0.19/0.77 [318]~P30(x3183)+E(f5(f5(x3181,x3182,x3183),x3184,x3183),f5(x3181,f5(x3182,x3184,x3183),x3183))
% 0.19/0.77 [319]~P12(x3193)+E(f5(f5(x3191,x3192,x3193),x3194,x3193),f5(x3191,f5(x3192,x3194,x3193),x3193))
% 0.19/0.77 [320]~P30(x3203)+E(f4(f4(x3201,x3202,x3203),x3204,x3203),f4(x3201,f4(x3202,x3204,x3203),x3203))
% 0.19/0.77 [321]~P11(x3213)+E(f4(f4(x3211,x3212,x3213),x3214,x3213),f4(x3211,f4(x3212,x3214,x3213),x3213))
% 0.19/0.77 [322]~P30(x3223)+E(f5(f5(x3221,x3222,x3223),x3224,x3223),f5(f5(x3221,x3224,x3223),x3222,x3223))
% 0.19/0.77 [323]~P30(x3233)+E(f4(f4(x3231,x3232,x3233),x3234,x3233),f4(f4(x3231,x3234,x3233),x3232,x3233))
% 0.19/0.77 [383]~P30(x3833)+E(f5(f4(x3831,x3832,x3833),f4(x3831,x3834,x3833),x3833),f4(x3831,f5(x3832,x3834,x3833),x3833))
% 0.19/0.77 [385]~P15(x3853)+E(f5(f4(x3851,x3852,x3853),f4(x3851,x3854,x3853),x3853),f4(x3851,f5(x3852,x3854,x3853),x3853))
% 0.19/0.77 [386]~P1(x3863)+E(f8(f4(x3861,x3862,x3863),f2(x3861,x3864,x3863),x3863),f2(x3861,f8(x3862,x3864,x3863),x3863))
% 0.19/0.77 [389]~P15(x3893)+E(f5(f4(x3891,x3892,x3893),f4(x3894,x3892,x3893),x3893),f4(f5(x3891,x3894,x3893),x3892,x3893))
% 0.19/0.77 [390]~P26(x3903)+E(f5(f4(x3901,x3902,x3903),f4(x3904,x3902,x3903),x3903),f4(f5(x3901,x3904,x3903),x3902,x3903))
% 0.19/0.77 [391]~P1(x3913)+E(f11(f8(x3911,x3912,x3913),x3914,x3913),f8(f9(x3912,x3914,x3913),f11(x3912,x3914,x3913),x3913))
% 0.19/0.77 [392]~P30(x3923)+E(f5(f4(x3921,x3922,x3923),f4(x3924,x3922,x3923),x3923),f4(f5(x3921,x3924,x3923),x3922,x3923))
% 0.19/0.77 [395]~P1(x3953)+E(f5(f2(x3951,x3952,x3953),f2(x3954,x3952,x3953),f14(x3953)),f2(f5(x3951,x3954,x3953),x3952,x3953))
% 0.19/0.77 [426]~P1(x4263)+E(f5(f4(x4261,x4262,f14(x4263)),f4(x4264,x4262,f14(x4263)),f14(x4263)),f4(f5(x4261,x4264,f14(x4263)),x4262,f14(x4263)))
% 0.19/0.77 [467]~P1(x4673)+E(f5(f2(x4671,x4672,x4673),f8(f3(x4673),f4(x4672,x4674,f14(x4673)),x4673),f14(x4673)),f4(x4672,f8(x4671,x4674,x4673),f14(x4673)))
% 0.19/0.77 [468]~P1(x4683)+E(f5(f2(x4681,x4682,x4683),f8(f3(x4683),f4(x4684,x4682,f14(x4683)),x4683),f14(x4683)),f4(f8(x4681,x4684,x4683),x4682,f14(x4683)))
% 0.19/0.77 [470]~P1(x4702)+E(f5(f8(x4701,f3(f14(x4702)),x4702),f4(x4703,f10(x4704,x4703,x4702),f14(x4702)),f14(x4702)),f10(f8(x4701,x4704,x4702),x4703,x4702))
% 0.19/0.77 [474]~P1(x4743)+E(f5(f2(x4741,f7(x4742,x4741,x4743),x4743),f8(x4744,f7(x4742,x4741,x4743),x4743),f14(x4743)),f7(f8(x4744,x4742,x4743),x4741,x4743))
% 0.19/0.77 [329]~P1(x3294)+E(f2(x3291,f4(x3292,x3293,f14(x3294)),x3294),f4(x3292,f2(x3291,x3293,x3294),f14(x3294)))
% 0.19/0.77 [330]~P1(x3304)+E(f2(x3301,f4(x3302,x3303,f14(x3304)),x3304),f4(f2(x3301,x3302,x3304),x3303,f14(x3304)))
% 0.19/0.77 [400]~P1(x4003)+E(f5(f9(x4001,x4002,x4003),f9(x4004,x4002,x4003),x4003),f9(f5(x4001,x4004,f14(x4003)),x4002,x4003))
% 0.19/0.77 [401]~P1(x4013)+E(f4(f9(x4011,x4012,x4013),f9(x4014,x4012,x4013),x4013),f9(f4(x4011,x4014,f14(x4013)),x4012,x4013))
% 0.19/0.77 [402]~P1(x4023)+E(f5(f2(x4021,x4022,x4023),f2(x4021,x4024,x4023),f14(x4023)),f2(x4021,f5(x4022,x4024,f14(x4023)),x4023))
% 0.19/0.77 [431]~P1(x4314)+E(f5(x4311,f4(x4312,f9(x4313,x4312,x4314),x4314),x4314),f9(f8(x4311,x4313,x4314),x4312,x4314))
% 0.19/0.77 [432]~P30(x4323)+E(f5(f5(x4321,x4322,x4323),f5(x4324,x4325,x4323),x4323),f5(f5(x4321,x4324,x4323),f5(x4322,x4325,x4323),x4323))
% 0.19/0.77 [433]~P30(x4333)+E(f4(f4(x4331,x4332,x4333),f4(x4334,x4335,x4333),x4333),f4(f4(x4331,x4334,x4333),f4(x4332,x4335,x4333),x4333))
% 0.19/0.77 [442]~P2(x4423)+E(f8(f5(x4421,x4422,x4423),f5(x4424,x4425,f14(x4423)),x4423),f5(f8(x4421,x4424,x4423),f8(x4422,x4425,x4423),f14(x4423)))
% 0.19/0.77 [473]~P48(x4733)+E(f5(f4(x4731,x4732,x4733),f5(f4(x4734,x4732,x4733),x4735,x4733),x4733),f5(f4(f5(x4731,x4734,x4733),x4732,x4733),x4735,x4733))
% 0.19/0.77 [251]~P22(x2511)+~P6(f3(x2511),f3(x2511),x2511)+E(f5(f3(x2511),f3(x2511),x2511),f3(x2511))
% 0.19/0.77 [151]~P31(x1512)+~E(f6(x1511,x1512),f3(x1512))+E(x1511,f3(x1512))
% 0.19/0.77 [198]~P17(x1982)+~E(f5(x1981,x1981,x1982),f3(x1982))+E(x1981,f3(x1982))
% 0.19/0.77 [256]~P40(x2561)+~P5(f3(x2561),x2562,x2561)+P5(f3(x2561),f6(x2562,x2561),x2561)
% 0.19/0.77 [257]~P40(x2572)+~P5(x2571,f3(x2572),x2572)+P5(f6(x2571,x2572),f3(x2572),x2572)
% 0.19/0.77 [284]~P17(x2841)+~P5(f3(x2841),x2842,x2841)+P5(f3(x2841),f5(x2842,x2842,x2841),x2841)
% 0.19/0.77 [285]~P17(x2851)+~P6(f3(x2851),x2852,x2851)+P6(f3(x2851),f5(x2852,x2852,x2851),x2851)
% 0.19/0.77 [286]~P38(x2862)+~P5(x2861,f3(x2862),x2862)+P5(f5(x2861,x2861,x2862),f3(x2862),x2862)
% 0.19/0.77 [287]~P17(x2872)+~P5(x2871,f3(x2872),x2872)+P5(f5(x2871,x2871,x2872),f3(x2872),x2872)
% 0.19/0.77 [288]~P17(x2882)+~P6(x2881,f3(x2882),x2882)+P6(f5(x2881,x2881,x2882),f3(x2882),x2882)
% 0.19/0.77 [324]~P38(x3242)+~P5(f5(x3241,x3241,x3242),f3(x3242),x3242)+P5(x3241,f3(x3242),x3242)
% 0.19/0.77 [325]~P17(x3252)+~P5(f5(x3251,x3251,x3252),f3(x3252),x3252)+P5(x3251,f3(x3252),x3252)
% 0.19/0.77 [326]~P17(x3262)+~P6(f5(x3261,x3261,x3262),f3(x3262),x3262)+P6(x3261,f3(x3262),x3262)
% 0.19/0.77 [327]~P17(x3271)+~P5(f3(x3271),f5(x3272,x3272,x3271),x3271)+P5(f3(x3271),x3272,x3271)
% 0.19/0.77 [328]~P17(x3281)+~P6(f3(x3281),f5(x3282,x3282,x3281),x3281)+P6(f3(x3281),x3282,x3281)
% 0.19/0.77 [153]~P31(x1532)+E(x1531,f3(x1532))+E(f6(f6(x1531,x1532),x1532),x1531)
% 0.19/0.77 [154]~P29(x1542)+~P31(x1542)+E(f6(f6(x1541,x1542),x1542),x1541)
% 0.19/0.77 [179]~P32(x1792)+~P7(x1792)+E(f5(x1791,f3(x1792),x1792),x1791)
% 0.19/0.77 [283]~P38(x2832)+~P5(f3(x2832),x2831,x2832)+P4(f8(x2831,f3(f14(x2832)),x2832),x2832)
% 0.19/0.77 [298]E(x2981,f3(a12))+~P1(a12)+~E(f9(f8(x2981,f3(f14(a12)),a12),x2982,a12),f3(a12))
% 0.19/0.77 [211]P6(x2112,x2111,x2113)+~P23(x2113)+P5(x2111,x2112,x2113)
% 0.19/0.77 [213]P6(x2132,x2131,x2133)+~P23(x2133)+P6(x2131,x2132,x2133)
% 0.19/0.77 [222]~P24(x2223)+~P5(x2221,x2222,x2223)+P6(x2221,x2222,x2223)
% 0.19/0.77 [223]~P25(x2233)+~P5(x2231,x2232,x2233)+P6(x2231,x2232,x2233)
% 0.19/0.77 [235]~P5(x2353,x2352,x2351)+~P23(x2351)+~P5(x2352,x2353,x2351)
% 0.19/0.77 [237]~P6(x2373,x2372,x2371)+~P23(x2371)+~P5(x2372,x2373,x2371)
% 0.19/0.77 [240]~P5(x2403,x2402,x2401)+~P24(x2401)+~P5(x2402,x2403,x2401)
% 0.19/0.77 [241]~P6(x2413,x2412,x2411)+~P24(x2411)+~P5(x2412,x2413,x2411)
% 0.19/0.77 [242]~P5(x2423,x2422,x2421)+~P25(x2421)+~P5(x2422,x2423,x2421)
% 0.19/0.77 [232]~P38(x2323)+~P4(x2322,x2323)+P4(f8(x2321,x2322,x2323),x2323)
% 0.19/0.77 [203]~P3(x2032)+E(x2031,f3(x2032))+~E(f8(x2031,x2033,x2032),f3(f14(x2032)))
% 0.19/0.77 [219]~P3(x2192)+~E(f8(x2193,x2191,x2192),f3(f14(x2192)))+E(x2191,f3(f14(x2192)))
% 0.19/0.77 [220]~P1(x2202)+~E(f7(x2201,x2203,x2202),f3(f14(x2202)))+E(x2201,f3(f14(x2202)))
% 0.19/0.77 [281]~P28(x2812)+~P29(x2812)+E(f4(f6(x2811,x2812),f6(x2813,x2812),x2812),f6(f4(x2811,x2813,x2812),x2812))
% 0.19/0.77 [393]~P41(x3932)+E(x3931,f3(x3932))+~E(f5(f4(x3933,x3933,x3932),f4(x3931,x3931,x3932),x3932),f3(x3932))
% 0.19/0.77 [394]~P41(x3942)+E(x3941,f3(x3942))+~E(f5(f4(x3941,x3941,x3942),f4(x3943,x3943,x3942),x3942),f3(x3942))
% 0.19/0.77 [456]~P41(x4562)+E(x4561,f3(x4562))+P5(f3(x4562),f5(f4(x4563,x4563,x4562),f4(x4561,x4561,x4562),x4562),x4562)
% 0.19/0.77 [457]~P41(x4572)+E(x4571,f3(x4572))+P5(f3(x4572),f5(f4(x4571,x4571,x4572),f4(x4573,x4573,x4572),x4572),x4572)
% 0.19/0.77 [476]~P41(x4762)+E(x4761,f3(x4762))+~P6(f5(f4(x4763,x4763,x4762),f4(x4761,x4761,x4762),x4762),f3(x4762),x4762)
% 0.19/0.77 [477]~P41(x4772)+E(x4771,f3(x4772))+~P6(f5(f4(x4771,x4771,x4772),f4(x4773,x4773,x4772),x4772),f3(x4772),x4772)
% 0.19/0.77 [244]~P9(x2444)+E(x2441,x2442)+~E(f5(x2443,x2441,x2444),f5(x2443,x2442,x2444))
% 0.19/0.77 [245]~P10(x2454)+E(x2451,x2452)+~E(f5(x2453,x2451,x2454),f5(x2453,x2452,x2454))
% 0.19/0.77 [247]~P9(x2474)+E(x2471,x2472)+~E(f5(x2471,x2473,x2474),f5(x2472,x2473,x2474))
% 0.19/0.77 [336]~P18(x3363)+~P5(x3361,x3364,x3363)+P5(f5(x3361,x3362,x3363),f5(x3364,x3362,x3363),x3363)
% 0.19/0.77 [337]~P21(x3373)+~P5(x3371,x3374,x3373)+P5(f5(x3371,x3372,x3373),f5(x3374,x3372,x3373),x3373)
% 0.19/0.77 [338]~P18(x3383)+~P5(x3382,x3384,x3383)+P5(f5(x3381,x3382,x3383),f5(x3381,x3384,x3383),x3383)
% 0.19/0.77 [339]~P21(x3393)+~P5(x3392,x3394,x3393)+P5(f5(x3391,x3392,x3393),f5(x3391,x3394,x3393),x3393)
% 0.19/0.77 [340]~P18(x3403)+~P6(x3401,x3404,x3403)+P6(f5(x3401,x3402,x3403),f5(x3404,x3402,x3403),x3403)
% 0.19/0.77 [341]~P19(x3413)+~P6(x3411,x3414,x3413)+P6(f5(x3411,x3412,x3413),f5(x3414,x3412,x3413),x3413)
% 0.19/0.77 [342]~P18(x3423)+~P6(x3422,x3424,x3423)+P6(f5(x3421,x3422,x3423),f5(x3421,x3424,x3423),x3423)
% 0.19/0.77 [343]~P19(x3433)+~P6(x3432,x3434,x3433)+P6(f5(x3431,x3432,x3433),f5(x3431,x3434,x3433),x3433)
% 0.19/0.77 [422]~P18(x4223)+P5(x4221,x4222,x4223)+~P5(f5(x4224,x4221,x4223),f5(x4224,x4222,x4223),x4223)
% 0.19/0.77 [423]~P18(x4233)+P5(x4231,x4232,x4233)+~P5(f5(x4231,x4234,x4233),f5(x4232,x4234,x4233),x4233)
% 0.19/0.77 [424]~P18(x4243)+P6(x4241,x4242,x4243)+~P6(f5(x4244,x4241,x4243),f5(x4244,x4242,x4243),x4243)
% 0.19/0.77 [425]~P18(x4253)+P6(x4251,x4252,x4253)+~P6(f5(x4251,x4254,x4253),f5(x4252,x4254,x4253),x4253)
% 0.19/0.77 [255]~P1(x2552)+~E(f2(x2553,x2551,x2552),f8(x2554,x2551,x2552))+E(x2551,f3(f14(x2552)))
% 0.19/0.77 [421]~P1(x4212)+~E(f5(f2(x4213,x4211,x4212),f8(x4214,x4211,x4212),f14(x4212)),f3(f14(x4212)))+E(x4211,f3(f14(x4212)))
% 0.19/0.77 [439]~P32(x4393)+~P7(x4393)+E(f5(f4(x4391,x4392,x4393),f4(x4391,x4394,x4393),x4393),f5(f4(x4391,x4394,x4393),f4(x4391,x4392,x4393),x4393))
% 0.19/0.77 [243]~P3(x2434)+E(x2431,x2432)+~E(f8(x2433,x2431,x2434),f8(x2435,x2432,x2434))
% 0.19/0.77 [246]~P3(x2464)+E(x2461,x2462)+~E(f8(x2461,x2463,x2464),f8(x2462,x2465,x2464))
% 0.19/0.77 [378]~P8(x3783)+E(f5(x3781,x3782,x3783),x3784)+~E(f5(x3781,f5(x3785,x3782,x3783),x3783),f5(x3785,x3784,x3783))
% 0.19/0.77 [379]~P1(x3794)+E(x3791,f9(x3792,x3793,x3794))+~E(f5(x3792,f2(x3793,x3795,x3794),f14(x3794)),f8(x3791,x3795,x3794))
% 0.19/0.77 [380]~P1(x3804)+E(x3801,f11(x3802,x3803,x3804))+~E(f5(x3802,f2(x3803,x3801,x3804),f14(x3804)),f8(x3805,x3801,x3804))
% 0.19/0.77 [260]~P29(x2601)+~P40(x2601)+~P6(f3(x2601),x2602,x2601)+P6(f3(x2601),f6(x2602,x2601),x2601)
% 0.19/0.77 [262]~P29(x2622)+~P40(x2622)+~P6(x2621,f3(x2622),x2622)+P6(f6(x2621,x2622),f3(x2622),x2622)
% 0.19/0.77 [265]~P40(x2652)+~P5(f6(x2651,x2652),f3(x2652),x2652)+P5(x2651,f3(x2652),x2652)+E(x2651,f3(x2652))
% 0.19/0.77 [266]~P40(x2662)+~P5(f3(x2662),f6(x2661,x2662),x2662)+P5(f3(x2662),x2661,x2662)+E(x2661,f3(x2662))
% 0.19/0.77 [267]~P29(x2672)+~P40(x2672)+~P5(f6(x2671,x2672),f3(x2672),x2672)+P5(x2671,f3(x2672),x2672)
% 0.19/0.77 [268]~P29(x2682)+~P40(x2682)+~P6(f6(x2681,x2682),f3(x2682),x2682)+P6(x2681,f3(x2682),x2682)
% 0.19/0.77 [269]~P29(x2691)+~P40(x2691)+~P5(f3(x2691),f6(x2692,x2691),x2691)+P5(f3(x2691),x2692,x2691)
% 0.19/0.77 [270]~P29(x2701)+~P40(x2701)+~P6(f3(x2701),f6(x2702,x2701),x2701)+P6(f3(x2701),x2702,x2701)
% 0.19/0.77 [214]P5(x2141,x2142,x2143)+~P38(x2143)+E(x2141,x2142)+P5(x2142,x2141,x2143)
% 0.19/0.77 [218]P5(x2181,x2182,x2183)+~P23(x2183)+E(x2181,x2182)+P5(x2182,x2181,x2183)
% 0.19/0.77 [225]~P23(x2253)+~P6(x2251,x2252,x2253)+E(x2251,x2252)+P5(x2251,x2252,x2253)
% 0.19/0.77 [231]~P25(x2313)+~P6(x2311,x2312,x2313)+E(x2311,x2312)+P5(x2311,x2312,x2313)
% 0.19/0.77 [250]~P6(x2502,x2501,x2503)+~P6(x2501,x2502,x2503)+E(x2501,x2502)+~P25(x2503)
% 0.19/0.77 [263]P6(x2632,x2631,x2633)+~P24(x2633)+~P6(x2631,x2632,x2633)+P5(x2631,x2632,x2633)
% 0.19/0.77 [156]~P29(x1563)+~P31(x1563)+E(x1561,x1562)+~E(f6(x1561,x1563),f6(x1562,x1563))
% 0.19/0.77 [199]~P32(x1992)+~P7(x1992)+~E(f5(x1993,x1991,x1992),x1993)+E(x1991,f3(x1992))
% 0.19/0.77 [200]~P33(x2002)+~E(f4(x2003,x2001,x2002),f3(x2002))+E(x2001,f3(x2002))+E(x2003,f3(x2002))
% 0.19/0.77 [202]~P37(x2022)+~E(f4(x2023,x2021,x2022),f3(x2022))+E(x2021,f3(x2022))+E(x2023,f3(x2022))
% 0.19/0.77 [290]~P38(x2902)+P4(x2901,x2902)+P5(f3(x2902),x2903,x2902)+~P4(f8(x2903,x2901,x2902),x2902)
% 0.19/0.77 [292]~P40(x2922)+~P5(x2923,x2921,x2922)+~P5(x2921,f3(x2922),x2922)+P5(f6(x2921,x2922),f6(x2923,x2922),x2922)
% 0.19/0.77 [293]~P40(x2932)+~P6(x2933,x2931,x2932)+~P5(x2931,f3(x2932),x2932)+P6(f6(x2931,x2932),f6(x2933,x2932),x2932)
% 0.19/0.77 [294]~P40(x2942)+~P5(x2943,x2941,x2942)+~P5(f3(x2942),x2943,x2942)+P5(f6(x2941,x2942),f6(x2943,x2942),x2942)
% 0.19/0.77 [295]~P40(x2952)+~P6(x2953,x2951,x2952)+~P5(f3(x2952),x2953,x2952)+P6(f6(x2951,x2952),f6(x2953,x2952),x2952)
% 0.19/0.77 [300]~P40(x3003)+P5(x3001,x3002,x3003)+~P5(x3001,f3(x3003),x3003)+~P5(f6(x3002,x3003),f6(x3001,x3003),x3003)
% 0.19/0.77 [301]~P40(x3013)+P6(x3011,x3012,x3013)+~P5(x3011,f3(x3013),x3013)+~P6(f6(x3012,x3013),f6(x3011,x3013),x3013)
% 0.19/0.77 [302]~P40(x3023)+P5(x3021,x3022,x3023)+~P5(f3(x3023),x3022,x3023)+~P5(f6(x3022,x3023),f6(x3021,x3023),x3023)
% 0.19/0.77 [303]~P40(x3033)+P6(x3031,x3032,x3033)+~P5(f3(x3033),x3032,x3033)+~P6(f6(x3032,x3033),f6(x3031,x3033),x3033)
% 0.19/0.77 [344]~P41(x3441)+~P5(x3443,f3(x3441),x3441)+~P5(x3442,f3(x3441),x3441)+P5(f3(x3441),f4(x3442,x3443,x3441),x3441)
% 0.19/0.77 [345]~P41(x3451)+~P6(x3453,f3(x3451),x3451)+~P6(x3452,f3(x3451),x3451)+P6(f3(x3451),f4(x3452,x3453,x3451),x3451)
% 0.19/0.77 [347]~P47(x3471)+~P6(x3473,f3(x3471),x3471)+~P6(x3472,f3(x3471),x3471)+P6(f3(x3471),f4(x3472,x3473,x3471),x3471)
% 0.19/0.77 [348]~P22(x3481)+~P5(f3(x3481),x3483,x3481)+~P5(f3(x3481),x3482,x3481)+P5(f3(x3481),f5(x3482,x3483,x3481),x3481)
% 0.19/0.77 [349]~P22(x3491)+~P5(f3(x3491),x3493,x3491)+~P6(f3(x3491),x3492,x3491)+P5(f3(x3491),f5(x3492,x3493,x3491),x3491)
% 0.19/0.77 [350]~P22(x3501)+~P5(f3(x3501),x3502,x3501)+~P6(f3(x3501),x3503,x3501)+P5(f3(x3501),f5(x3502,x3503,x3501),x3501)
% 0.19/0.77 [351]~P43(x3511)+~P5(f3(x3511),x3513,x3511)+~P5(f3(x3511),x3512,x3511)+P5(f3(x3511),f4(x3512,x3513,x3511),x3511)
% 0.19/0.77 [352]~P22(x3521)+~P6(f3(x3521),x3523,x3521)+~P6(f3(x3521),x3522,x3521)+P6(f3(x3521),f5(x3522,x3523,x3521),x3521)
% 0.19/0.77 [353]~P41(x3531)+~P6(f3(x3531),x3533,x3531)+~P6(f3(x3531),x3532,x3531)+P6(f3(x3531),f4(x3532,x3533,x3531),x3531)
% 0.19/0.77 [354]~P42(x3541)+~P6(f3(x3541),x3543,x3541)+~P6(f3(x3541),x3542,x3541)+P6(f3(x3541),f4(x3542,x3543,x3541),x3541)
% 0.19/0.77 [355]~P47(x3551)+~P6(f3(x3551),x3553,x3551)+~P6(f3(x3551),x3552,x3551)+P6(f3(x3551),f4(x3552,x3553,x3551),x3551)
% 0.19/0.77 [356]~P22(x3563)+~P5(x3562,f3(x3563),x3563)+~P5(x3561,f3(x3563),x3563)+P5(f5(x3561,x3562,x3563),f3(x3563),x3563)
% 0.19/0.77 [357]~P22(x3573)+~P5(x3572,f3(x3573),x3573)+~P6(x3571,f3(x3573),x3573)+P5(f5(x3571,x3572,x3573),f3(x3573),x3573)
% 0.19/0.77 [358]~P22(x3583)+~P5(x3581,f3(x3583),x3583)+~P6(x3582,f3(x3583),x3583)+P5(f5(x3581,x3582,x3583),f3(x3583),x3583)
% 0.19/0.77 [359]~P22(x3593)+~P6(x3592,f3(x3593),x3593)+~P6(x3591,f3(x3593),x3593)+P6(f5(x3591,x3592,x3593),f3(x3593),x3593)
% 0.19/0.78 [360]~P43(x3603)+~P5(x3602,f3(x3603),x3603)+~P5(f3(x3603),x3601,x3603)+P5(f4(x3601,x3602,x3603),f3(x3603),x3603)
% 0.19/0.78 [362]~P43(x3623)+~P5(x3621,f3(x3623),x3623)+~P5(f3(x3623),x3622,x3623)+P5(f4(x3621,x3622,x3623),f3(x3623),x3623)
% 0.19/0.78 [363]~P41(x3633)+~P6(x3632,f3(x3633),x3633)+~P6(f3(x3633),x3631,x3633)+P6(f4(x3631,x3632,x3633),f3(x3633),x3633)
% 0.19/0.78 [364]~P41(x3643)+~P6(x3641,f3(x3643),x3643)+~P6(f3(x3643),x3642,x3643)+P6(f4(x3641,x3642,x3643),f3(x3643),x3643)
% 0.19/0.78 [366]~P42(x3663)+~P6(x3662,f3(x3663),x3663)+~P6(f3(x3663),x3661,x3663)+P6(f4(x3661,x3662,x3663),f3(x3663),x3663)
% 0.19/0.78 [369]~P42(x3693)+~P6(x3691,f3(x3693),x3693)+~P6(f3(x3693),x3692,x3693)+P6(f4(x3691,x3692,x3693),f3(x3693),x3693)
% 0.19/0.78 [370]~P41(x3702)+~P6(f4(x3703,x3701,x3702),f3(x3702),x3702)+P6(x3701,f3(x3702),x3702)+P6(x3703,f3(x3702),x3702)
% 0.19/0.78 [371]~P41(x3712)+~P6(f3(x3712),f4(x3713,x3711,x3712),x3712)+P6(x3711,f3(x3712),x3712)+P6(f3(x3712),x3713,x3712)
% 0.19/0.78 [372]~P41(x3722)+~P6(f3(x3722),f4(x3721,x3723,x3722),x3722)+P6(x3721,f3(x3722),x3722)+P6(f3(x3722),x3723,x3722)
% 0.19/0.78 [373]~P41(x3732)+~P6(f3(x3732),f4(x3733,x3731,x3732),x3732)+P6(x3731,f3(x3732),x3732)+P6(f3(x3732),x3731,x3732)
% 0.19/0.78 [374]~P41(x3742)+~P6(f3(x3742),f4(x3741,x3743,x3742),x3742)+P6(x3741,f3(x3742),x3742)+P6(f3(x3742),x3741,x3742)
% 0.19/0.78 [375]~P41(x3752)+~P6(f4(x3753,x3751,x3752),f3(x3752),x3752)+P6(x3751,f3(x3752),x3752)+P6(f3(x3752),x3751,x3752)
% 0.19/0.78 [376]~P41(x3762)+~P6(f4(x3761,x3763,x3762),f3(x3762),x3762)+P6(x3761,f3(x3762),x3762)+P6(f3(x3762),x3761,x3762)
% 0.19/0.78 [377]~P41(x3771)+~P6(f4(x3772,x3773,x3771),f3(x3771),x3771)+P6(f3(x3771),x3772,x3771)+P6(f3(x3771),x3773,x3771)
% 0.19/0.78 [381]~P43(x3811)+~P5(f3(x3811),f4(x3813,x3812,x3811),x3811)+P5(f3(x3811),x3812,x3811)+~P5(f3(x3811),x3813,x3811)
% 0.19/0.78 [382]~P43(x3821)+~P5(f3(x3821),f4(x3822,x3823,x3821),x3821)+P5(f3(x3821),x3822,x3821)+~P5(f3(x3821),x3823,x3821)
% 0.19/0.78 [221]~P32(x2212)+E(x2211,f3(x2212))+~E(f2(x2211,x2213,x2212),f3(f14(x2212)))+E(x2213,f3(f14(x2212)))
% 0.19/0.78 [252]~P38(x2523)+~P4(x2522,x2523)+~P4(x2521,x2523)+P4(f5(x2521,x2522,f14(x2523)),x2523)
% 0.19/0.78 [253]~P38(x2533)+~P4(x2532,x2533)+~P4(x2531,x2533)+P4(f4(x2531,x2532,f14(x2533)),x2533)
% 0.19/0.78 [272]P4(x2721,x2722)+~P38(x2722)+~P4(f8(x2723,x2721,x2722),x2722)+E(x2721,f3(f14(x2722)))
% 0.19/0.78 [282]~P31(x2822)+E(x2821,f3(x2822))+E(x2823,f3(x2822))+E(f4(f6(x2821,x2822),f6(x2823,x2822),x2822),f6(f4(x2823,x2821,x2822),x2822))
% 0.19/0.78 [443]~P31(x4432)+E(x4431,f3(x4432))+E(x4433,f3(x4432))+E(f4(f4(f6(x4433,x4432),f5(x4433,x4431,x4432),x4432),f6(x4431,x4432),x4432),f5(f6(x4433,x4432),f6(x4431,x4432),x4432))
% 0.19/0.78 [444]~P28(x4442)+E(x4441,f3(x4442))+E(x4443,f3(x4442))+E(f4(f4(f5(x4443,x4441,x4442),f6(x4443,x4442),x4442),f6(x4441,x4442),x4442),f5(f6(x4443,x4442),f6(x4441,x4442),x4442))
% 0.19/0.78 [273]~P24(x2733)+~P5(x2731,x2734,x2733)+P5(x2731,x2732,x2733)+~P5(x2734,x2732,x2733)
% 0.19/0.78 [274]~P24(x2743)+~P6(x2741,x2744,x2743)+P5(x2741,x2742,x2743)+~P5(x2744,x2742,x2743)
% 0.19/0.78 [275]~P24(x2753)+~P6(x2754,x2752,x2753)+P5(x2751,x2752,x2753)+~P5(x2751,x2754,x2753)
% 0.19/0.78 [276]~P25(x2763)+~P5(x2761,x2764,x2763)+P5(x2761,x2762,x2763)+~P5(x2764,x2762,x2763)
% 0.19/0.78 [277]~P25(x2773)+~P6(x2771,x2774,x2773)+P5(x2771,x2772,x2773)+~P5(x2774,x2772,x2773)
% 0.19/0.78 [278]~P25(x2783)+~P6(x2784,x2782,x2783)+P5(x2781,x2782,x2783)+~P5(x2781,x2784,x2783)
% 0.19/0.78 [279]~P24(x2793)+~P6(x2791,x2794,x2793)+P6(x2791,x2792,x2793)+~P6(x2794,x2792,x2793)
% 0.19/0.78 [280]~P25(x2803)+~P6(x2801,x2804,x2803)+P6(x2801,x2802,x2803)+~P6(x2804,x2802,x2803)
% 0.19/0.78 [254]~P32(x2544)+~P7(x2544)+E(x2541,x2542)+~E(f5(x2543,x2541,x2544),f5(x2543,x2542,x2544))
% 0.19/0.78 [331]~P44(x3314)+~P5(x3311,x3313,x3314)+~P5(f3(x3314),x3312,x3314)+P5(x3311,f5(x3312,x3313,x3314),x3314)
% 0.19/0.78 [404]~P41(x4043)+~P5(x4044,x4041,x4043)+~P5(x4042,f3(x4043),x4043)+P5(f4(x4041,x4042,x4043),f4(x4044,x4042,x4043),x4043)
% 0.19/0.78 [407]~P41(x4073)+~P5(x4074,x4072,x4073)+~P5(x4071,f3(x4073),x4073)+P5(f4(x4071,x4072,x4073),f4(x4071,x4074,x4073),x4073)
% 0.19/0.78 [408]~P47(x4083)+~P6(x4084,x4081,x4083)+~P6(x4082,f3(x4083),x4083)+P6(f4(x4081,x4082,x4083),f4(x4084,x4082,x4083),x4083)
% 0.19/0.78 [409]~P41(x4093)+~P6(x4094,x4092,x4093)+~P5(x4091,f3(x4093),x4093)+P6(f4(x4091,x4092,x4093),f4(x4091,x4094,x4093),x4093)
% 0.19/0.78 [410]~P47(x4103)+~P6(x4104,x4102,x4103)+~P6(x4101,f3(x4103),x4103)+P6(f4(x4101,x4102,x4103),f4(x4101,x4104,x4103),x4103)
% 0.19/0.78 [411]~P41(x4113)+~P5(x4111,x4114,x4113)+~P5(f3(x4113),x4112,x4113)+P5(f4(x4111,x4112,x4113),f4(x4114,x4112,x4113),x4113)
% 0.19/0.78 [412]~P43(x4123)+~P5(x4121,x4124,x4123)+~P5(f3(x4123),x4122,x4123)+P5(f4(x4121,x4122,x4123),f4(x4124,x4122,x4123),x4123)
% 0.19/0.78 [414]~P41(x4143)+~P5(x4142,x4144,x4143)+~P5(f3(x4143),x4141,x4143)+P5(f4(x4141,x4142,x4143),f4(x4141,x4144,x4143),x4143)
% 0.19/0.78 [415]~P43(x4153)+~P5(x4152,x4154,x4153)+~P5(f3(x4153),x4151,x4153)+P5(f4(x4151,x4152,x4153),f4(x4151,x4154,x4153),x4153)
% 0.19/0.78 [416]~P39(x4163)+~P5(x4162,x4164,x4163)+~P5(f3(x4163),x4161,x4163)+P5(f4(x4161,x4162,x4163),f4(x4161,x4164,x4163),x4163)
% 0.19/0.78 [417]~P35(x4173)+~P6(x4171,x4174,x4173)+~P6(f3(x4173),x4172,x4173)+P6(f4(x4171,x4172,x4173),f4(x4174,x4172,x4173),x4173)
% 0.19/0.78 [418]~P41(x4183)+~P6(x4182,x4184,x4183)+~P5(f3(x4183),x4181,x4183)+P6(f4(x4181,x4182,x4183),f4(x4181,x4184,x4183),x4183)
% 0.19/0.78 [419]~P35(x4193)+~P6(x4192,x4194,x4193)+~P6(f3(x4193),x4191,x4193)+P6(f4(x4191,x4192,x4193),f4(x4191,x4194,x4193),x4193)
% 0.19/0.78 [420]~P36(x4203)+~P6(x4202,x4204,x4203)+~P6(f3(x4203),x4201,x4203)+P6(f4(x4201,x4202,x4203),f4(x4201,x4204,x4203),x4203)
% 0.19/0.78 [429]P5(x4292,x4291,x4293)+~P41(x4293)+P5(x4291,x4292,x4293)+~P5(f4(x4294,x4291,x4293),f4(x4294,x4292,x4293),x4293)
% 0.19/0.78 [430]P5(x4302,x4301,x4303)+~P41(x4303)+P5(x4301,x4302,x4303)+~P5(f4(x4301,x4304,x4303),f4(x4302,x4304,x4303),x4303)
% 0.19/0.78 [434]~P41(x4343)+P5(x4341,x4342,x4343)+~P5(f4(x4341,x4344,x4343),f4(x4342,x4344,x4343),x4343)+P5(x4344,f3(x4343),x4343)
% 0.19/0.78 [435]~P41(x4353)+P5(x4351,x4352,x4353)+~P5(f4(x4354,x4351,x4353),f4(x4354,x4352,x4353),x4353)+P5(x4354,f3(x4353),x4353)
% 0.19/0.78 [436]~P41(x4363)+P5(x4361,x4362,x4363)+~P5(f4(x4364,x4362,x4363),f4(x4364,x4361,x4363),x4363)+P5(f3(x4363),x4364,x4363)
% 0.19/0.78 [437]~P41(x4373)+P5(x4371,x4372,x4373)+~P5(f4(x4372,x4374,x4373),f4(x4371,x4374,x4373),x4373)+P5(f3(x4373),x4374,x4373)
% 0.19/0.78 [440]~P41(x4402)+~P5(f4(x4403,x4401,x4402),f4(x4404,x4401,x4402),x4402)+P5(x4401,f3(x4402),x4402)+P5(f3(x4402),x4401,x4402)
% 0.19/0.78 [441]~P41(x4412)+~P5(f4(x4411,x4413,x4412),f4(x4411,x4414,x4412),x4412)+P5(x4411,f3(x4412),x4412)+P5(f3(x4412),x4411,x4412)
% 0.19/0.78 [445]~P41(x4453)+P5(x4451,x4452,x4453)+~P5(f4(x4454,x4452,x4453),f4(x4454,x4451,x4453),x4453)+~P5(x4454,f3(x4453),x4453)
% 0.19/0.78 [446]~P41(x4463)+P6(x4461,x4462,x4463)+~P6(f4(x4464,x4462,x4463),f4(x4464,x4461,x4463),x4463)+~P5(x4464,f3(x4463),x4463)
% 0.19/0.78 [447]~P41(x4473)+P5(x4471,x4472,x4473)+~P5(f4(x4474,x4471,x4473),f4(x4474,x4472,x4473),x4473)+~P5(f3(x4473),x4474,x4473)
% 0.19/0.78 [448]~P43(x4483)+P5(x4481,x4482,x4483)+~P5(f4(x4484,x4481,x4483),f4(x4484,x4482,x4483),x4483)+~P6(f3(x4483),x4484,x4483)
% 0.19/0.78 [449]~P43(x4493)+P5(x4491,x4492,x4493)+~P5(f4(x4491,x4494,x4493),f4(x4492,x4494,x4493),x4493)+~P6(f3(x4493),x4494,x4493)
% 0.19/0.78 [450]~P45(x4503)+P5(x4501,x4502,x4503)+~P5(f4(x4504,x4501,x4503),f4(x4504,x4502,x4503),x4503)+~P6(f3(x4503),x4504,x4503)
% 0.19/0.78 [451]~P45(x4513)+P5(x4511,x4512,x4513)+~P5(f4(x4511,x4514,x4513),f4(x4512,x4514,x4513),x4513)+~P6(f3(x4513),x4514,x4513)
% 0.19/0.78 [452]~P41(x4523)+P6(x4521,x4522,x4523)+~P6(f4(x4524,x4521,x4523),f4(x4524,x4522,x4523),x4523)+~P5(f3(x4523),x4524,x4523)
% 0.19/0.78 [453]~P43(x4533)+P6(x4531,x4532,x4533)+~P6(f4(x4534,x4531,x4533),f4(x4534,x4532,x4533),x4533)+~P5(f3(x4533),x4534,x4533)
% 0.19/0.78 [454]~P43(x4543)+P6(x4541,x4542,x4543)+~P6(f4(x4541,x4544,x4543),f4(x4542,x4544,x4543),x4543)+~P5(f3(x4543),x4544,x4543)
% 0.19/0.78 [396]~P21(x3963)+~P5(x3962,x3965,x3963)+~P5(x3961,x3964,x3963)+P5(f5(x3961,x3962,x3963),f5(x3964,x3965,x3963),x3963)
% 0.19/0.78 [397]~P21(x3973)+~P5(x3972,x3975,x3973)+~P6(x3971,x3974,x3973)+P5(f5(x3971,x3972,x3973),f5(x3974,x3975,x3973),x3973)
% 0.19/0.78 [398]~P21(x3983)+~P5(x3981,x3984,x3983)+~P6(x3982,x3985,x3983)+P5(f5(x3981,x3982,x3983),f5(x3984,x3985,x3983),x3983)
% 0.19/0.78 [399]~P19(x3993)+~P6(x3992,x3995,x3993)+~P6(x3991,x3994,x3993)+P6(f5(x3991,x3992,x3993),f5(x3994,x3995,x3993),x3993)
% 0.19/0.78 [427]~P20(x4274)+~P6(x4275,x4273,x4274)+~P6(x4271,f5(x4272,x4275,x4274),x4274)+P6(x4271,f5(x4272,x4273,x4274),x4274)
% 0.19/0.78 [160]~P31(x1603)+E(x1601,x1602)+~E(f6(x1601,x1603),f6(x1602,x1603))+E(x1602,f3(x1603))+E(x1601,f3(x1603))
% 0.19/0.78 [296]~P22(x2962)+~P6(f3(x2962),x2961,x2962)+~P6(f3(x2962),x2963,x2962)+~E(f5(x2963,x2961,x2962),f3(x2962))+E(x2961,f3(x2962))
% 0.19/0.78 [297]~P22(x2972)+~P6(f3(x2972),x2973,x2972)+~P6(f3(x2972),x2971,x2972)+~E(f5(x2971,x2973,x2972),f3(x2972))+E(x2971,f3(x2972))
% 0.19/0.78 [332]~P18(x3324)+~P2(x3324)+~P5(x3321,x3323,x3324)+~P6(f3(x3324),x3322,x3324)+P5(x3321,f5(x3322,x3323,x3324),x3324)
% 0.19/0.78 [333]~P18(x3334)+~P2(x3334)+~P6(x3331,x3333,x3334)+~P5(f3(x3334),x3332,x3334)+P5(x3331,f5(x3332,x3333,x3334),x3334)
% 0.19/0.78 [334]~P18(x3344)+~P2(x3344)+~P6(x3341,x3343,x3344)+~P6(f3(x3344),x3342,x3344)+P6(x3341,f5(x3342,x3343,x3344),x3344)
% 0.19/0.78 [335]~P18(x3354)+~P2(x3354)+~P6(x3351,x3352,x3354)+~P6(f3(x3354),x3353,x3354)+P6(x3351,f5(x3352,x3353,x3354),x3354)
% 0.19/0.78 [428]~P32(x4284)+~P7(x4284)+E(x4281,x4282)+E(x4283,f3(x4284))+~E(f5(x4285,f4(x4283,x4281,x4284),x4284),f5(x4285,f4(x4283,x4282,x4284),x4284))
% 0.19/0.78 [472]~P32(x4725)+~P7(x4725)+E(x4721,x4722)+E(x4723,x4724)+~E(f5(f4(x4723,x4721,x4725),f4(x4724,x4722,x4725),x4725),f5(f4(x4723,x4722,x4725),f4(x4724,x4721,x4725),x4725))
% 0.19/0.78 [458]~P43(x4583)+~P5(x4582,x4585,x4583)+~P5(x4581,x4584,x4583)+~P5(f3(x4583),x4584,x4583)+~P6(f3(x4583),x4582,x4583)+P5(f4(x4581,x4582,x4583),f4(x4584,x4585,x4583),x4583)
% 0.19/0.78 [459]~P43(x4593)+~P5(x4592,x4595,x4593)+~P5(x4591,x4594,x4593)+~P6(f3(x4593),x4592,x4593)+~P6(f3(x4593),x4591,x4593)+P5(f4(x4591,x4592,x4593),f4(x4594,x4595,x4593),x4593)
% 0.19/0.78 [460]~P43(x4603)+~P5(x4602,x4605,x4603)+~P6(x4601,x4604,x4603)+~P5(f3(x4603),x4601,x4603)+~P6(f3(x4603),x4602,x4603)+P5(f4(x4601,x4602,x4603),f4(x4604,x4605,x4603),x4603)
% 0.19/0.78 [461]~P43(x4613)+~P5(x4611,x4614,x4613)+~P6(x4612,x4615,x4613)+~P5(f3(x4613),x4612,x4613)+~P6(f3(x4613),x4611,x4613)+P5(f4(x4611,x4612,x4613),f4(x4614,x4615,x4613),x4613)
% 0.19/0.78 [462]~P46(x4623)+~P6(x4622,x4625,x4623)+~P6(x4621,x4624,x4623)+~P6(f3(x4623),x4624,x4623)+~P6(f3(x4623),x4622,x4623)+P6(f4(x4621,x4622,x4623),f4(x4624,x4625,x4623),x4623)
% 0.19/0.78 [463]~P46(x4633)+~P6(x4632,x4635,x4633)+~P6(x4631,x4634,x4633)+~P6(f3(x4633),x4632,x4633)+~P6(f3(x4633),x4631,x4633)+P6(f4(x4631,x4632,x4633),f4(x4634,x4635,x4633),x4633)
% 0.19/0.78 %EqnAxiom
% 0.19/0.78 [1]E(x11,x11)
% 0.19/0.78 [2]E(x22,x21)+~E(x21,x22)
% 0.19/0.78 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.19/0.78 [4]~E(x41,x42)+E(f2(x41,x43,x44),f2(x42,x43,x44))
% 0.19/0.78 [5]~E(x51,x52)+E(f2(x53,x51,x54),f2(x53,x52,x54))
% 0.19/0.78 [6]~E(x61,x62)+E(f2(x63,x64,x61),f2(x63,x64,x62))
% 0.19/0.78 [7]~E(x71,x72)+E(f3(x71),f3(x72))
% 0.19/0.78 [8]~E(x81,x82)+E(f8(x81,x83,x84),f8(x82,x83,x84))
% 0.19/0.78 [9]~E(x91,x92)+E(f8(x93,x91,x94),f8(x93,x92,x94))
% 0.19/0.78 [10]~E(x101,x102)+E(f8(x103,x104,x101),f8(x103,x104,x102))
% 0.19/0.78 [11]~E(x111,x112)+E(f14(x111),f14(x112))
% 0.19/0.78 [12]~E(x121,x122)+E(f4(x121,x123,x124),f4(x122,x123,x124))
% 0.19/0.78 [13]~E(x131,x132)+E(f4(x133,x131,x134),f4(x133,x132,x134))
% 0.19/0.78 [14]~E(x141,x142)+E(f4(x143,x144,x141),f4(x143,x144,x142))
% 0.19/0.78 [15]~E(x151,x152)+E(f5(x151,x153,x154),f5(x152,x153,x154))
% 0.19/0.78 [16]~E(x161,x162)+E(f5(x163,x161,x164),f5(x163,x162,x164))
% 0.19/0.78 [17]~E(x171,x172)+E(f5(x173,x174,x171),f5(x173,x174,x172))
% 0.19/0.78 [18]~E(x181,x182)+E(f6(x181,x183),f6(x182,x183))
% 0.19/0.78 [19]~E(x191,x192)+E(f6(x193,x191),f6(x193,x192))
% 0.19/0.78 [20]~E(x201,x202)+E(f18(x201),f18(x202))
% 0.19/0.78 [21]~E(x211,x212)+E(f9(x211,x213,x214),f9(x212,x213,x214))
% 0.19/0.78 [22]~E(x221,x222)+E(f9(x223,x221,x224),f9(x223,x222,x224))
% 0.19/0.78 [23]~E(x231,x232)+E(f9(x233,x234,x231),f9(x233,x234,x232))
% 0.19/0.78 [24]~E(x241,x242)+E(f7(x241,x243,x244),f7(x242,x243,x244))
% 0.19/0.78 [25]~E(x251,x252)+E(f7(x253,x251,x254),f7(x253,x252,x254))
% 0.19/0.78 [26]~E(x261,x262)+E(f7(x263,x264,x261),f7(x263,x264,x262))
% 0.19/0.78 [27]~E(x271,x272)+E(f11(x271,x273,x274),f11(x272,x273,x274))
% 0.19/0.78 [28]~E(x281,x282)+E(f11(x283,x281,x284),f11(x283,x282,x284))
% 0.19/0.78 [29]~E(x291,x292)+E(f11(x293,x294,x291),f11(x293,x294,x292))
% 0.19/0.78 [30]~E(x301,x302)+E(f10(x301,x303,x304),f10(x302,x303,x304))
% 0.19/0.78 [31]~E(x311,x312)+E(f10(x313,x311,x314),f10(x313,x312,x314))
% 0.19/0.78 [32]~E(x321,x322)+E(f10(x323,x324,x321),f10(x323,x324,x322))
% 0.19/0.78 [33]~E(x331,x332)+E(f19(x331),f19(x332))
% 0.19/0.78 [34]~P1(x341)+P1(x342)+~E(x341,x342)
% 0.19/0.78 [35]~P28(x351)+P28(x352)+~E(x351,x352)
% 0.19/0.78 [36]~P29(x361)+P29(x362)+~E(x361,x362)
% 0.19/0.78 [37]~P2(x371)+P2(x372)+~E(x371,x372)
% 0.19/0.78 [38]~P3(x381)+P3(x382)+~E(x381,x382)
% 0.19/0.78 [39]~P32(x391)+P32(x392)+~E(x391,x392)
% 0.19/0.78 [40]~P31(x401)+P31(x402)+~E(x401,x402)
% 0.19/0.78 [41]~P33(x411)+P33(x412)+~E(x411,x412)
% 0.19/0.78 [42]~P34(x421)+P34(x422)+~E(x421,x422)
% 0.19/0.78 [43]~P30(x431)+P30(x432)+~E(x431,x432)
% 0.19/0.78 [44]~P15(x441)+P15(x442)+~E(x441,x442)
% 0.19/0.78 [45]~P7(x451)+P7(x452)+~E(x451,x452)
% 0.19/0.78 [46]~P8(x461)+P8(x462)+~E(x461,x462)
% 0.19/0.78 [47]~P9(x471)+P9(x472)+~E(x471,x472)
% 0.19/0.78 [48]~P10(x481)+P10(x482)+~E(x481,x482)
% 0.19/0.78 [49]~P26(x491)+P26(x492)+~E(x491,x492)
% 0.19/0.78 [50]~P11(x501)+P11(x502)+~E(x501,x502)
% 0.19/0.78 [51]~P37(x511)+P37(x512)+~E(x511,x512)
% 0.19/0.78 [52]~P12(x521)+P12(x522)+~E(x521,x522)
% 0.19/0.78 [53]~P48(x531)+P48(x532)+~E(x531,x532)
% 0.19/0.78 [54]~P16(x541)+P16(x542)+~E(x541,x542)
% 0.19/0.78 [55]~P14(x551)+P14(x552)+~E(x551,x552)
% 0.19/0.78 [56]~P27(x561)+P27(x562)+~E(x561,x562)
% 0.19/0.78 [57]~P38(x571)+P38(x572)+~E(x571,x572)
% 0.19/0.78 [58]P5(x582,x583,x584)+~E(x581,x582)+~P5(x581,x583,x584)
% 0.19/0.78 [59]P5(x593,x592,x594)+~E(x591,x592)+~P5(x593,x591,x594)
% 0.19/0.78 [60]P5(x603,x604,x602)+~E(x601,x602)+~P5(x603,x604,x601)
% 0.19/0.78 [61]~P41(x611)+P41(x612)+~E(x611,x612)
% 0.19/0.78 [62]P6(x622,x623,x624)+~E(x621,x622)+~P6(x621,x623,x624)
% 0.19/0.78 [63]P6(x633,x632,x634)+~E(x631,x632)+~P6(x633,x631,x634)
% 0.19/0.78 [64]P6(x643,x644,x642)+~E(x641,x642)+~P6(x643,x644,x641)
% 0.19/0.78 [65]~P18(x651)+P18(x652)+~E(x651,x652)
% 0.19/0.78 [66]~P17(x661)+P17(x662)+~E(x661,x662)
% 0.19/0.78 [67]~P19(x671)+P19(x672)+~E(x671,x672)
% 0.19/0.78 [68]~P42(x681)+P42(x682)+~E(x681,x682)
% 0.19/0.78 [69]~P21(x691)+P21(x692)+~E(x691,x692)
% 0.19/0.78 [70]~P22(x701)+P22(x702)+~E(x701,x702)
% 0.19/0.78 [71]~P20(x711)+P20(x712)+~E(x711,x712)
% 0.19/0.78 [72]~P25(x721)+P25(x722)+~E(x721,x722)
% 0.19/0.78 [73]~P40(x731)+P40(x732)+~E(x731,x732)
% 0.19/0.78 [74]~P24(x741)+P24(x742)+~E(x741,x742)
% 0.19/0.78 [75]~P23(x751)+P23(x752)+~E(x751,x752)
% 0.19/0.78 [76]~P45(x761)+P45(x762)+~E(x761,x762)
% 0.19/0.78 [77]~P43(x771)+P43(x772)+~E(x771,x772)
% 0.19/0.78 [78]~P47(x781)+P47(x782)+~E(x781,x782)
% 0.19/0.78 [79]P4(x792,x793)+~E(x791,x792)+~P4(x791,x793)
% 0.19/0.78 [80]P4(x803,x802)+~E(x801,x802)+~P4(x803,x801)
% 0.19/0.78 [81]~P35(x811)+P35(x812)+~E(x811,x812)
% 0.19/0.78 [82]~P13(x821)+P13(x822)+~E(x821,x822)
% 0.19/0.78 [83]~P46(x831)+P46(x832)+~E(x831,x832)
% 0.19/0.78 [84]~P36(x841)+P36(x842)+~E(x841,x842)
% 0.19/0.78 [85]~P39(x851)+P39(x852)+~E(x851,x852)
% 0.19/0.78 [86]~P44(x861)+P44(x862)+~E(x861,x862)
% 0.19/0.78
% 0.19/0.78 %-------------------------------------------
% 0.19/0.78 cnf(479,plain,
% 0.19/0.78 ($false),
% 0.19/0.78 inference(scs_inference,[],[87,110,468]),
% 0.19/0.78 ['proof']).
% 0.19/0.78 % SZS output end Proof
% 0.19/0.78 % Total time :0.030000s
%------------------------------------------------------------------------------