TSTP Solution File: ALG361-1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : ALG361-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 30 15:59:39 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
% 0.00/0.12 % Problem : ALG361-1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n018.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 28 05:54:31 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.54 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 0.020000s
% 0.19/0.73 % Output :CNFRefutation 0.020000s
% 0.19/0.73 %-------------------------------------------
% 0.19/0.73 %------------------------------------------------------------------------------
% 0.19/0.73 % File : ALG361-1 : TPTP v8.1.2. Released v4.1.0.
% 0.19/0.73 % Domain : General Algebra
% 0.19/0.73 % Problem : Fundamental theorem of algebra 0277_21
% 0.19/0.73 % Version : Especial.
% 0.19/0.73 % English :
% 0.19/0.73
% 0.19/0.73 % Refs : [Nip10] Nipkow (2010), Email to Geoff Sutcliffe
% 0.19/0.73 % : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day
% 0.19/0.73 % Source : [Nip10]
% 0.19/0.73 % Names : Fundamental_Theorem_Algebra-0277_21 [Nip10]
% 0.19/0.73
% 0.19/0.73 % Status : Unsatisfiable
% 0.19/0.73 % Rating : 0.05 v7.4.0, 0.06 v7.3.0, 0.00 v7.0.0, 0.13 v6.4.0, 0.07 v6.3.0, 0.00 v6.2.0, 0.10 v6.1.0, 0.00 v5.5.0, 0.25 v5.3.0, 0.17 v5.2.0, 0.12 v5.1.0, 0.24 v5.0.0, 0.29 v4.1.0
% 0.19/0.73 % Syntax : Number of clauses : 595 ( 127 unt; 60 nHn; 402 RR)
% 0.19/0.73 % Number of literals : 1596 ( 230 equ; 949 neg)
% 0.19/0.73 % Maximal clause size : 6 ( 2 avg)
% 0.19/0.73 % Maximal term depth : 6 ( 1 avg)
% 0.19/0.73 % Number of predicates : 64 ( 63 usr; 1 prp; 0-5 aty)
% 0.19/0.73 % Number of functors : 28 ( 28 usr; 9 con; 0-5 aty)
% 0.19/0.73 % Number of variables : 1545 ( 106 sgn)
% 0.19/0.73 % SPC : CNF_UNS_RFO_SEQ_NHN
% 0.19/0.73
% 0.19/0.73 % Comments :
% 0.19/0.73 %------------------------------------------------------------------------------
% 0.19/0.73 cnf(cls_mult__neg__pos_0,axiom,
% 0.19/0.73 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.19/0.73 | c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(V_a,T_a),V_b),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.19/0.73 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.19/0.73 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.19/0.73
% 0.19/0.73 cnf(cls_mult__pos__neg_0,axiom,
% 0.19/0.73 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.19/0.73 | c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(V_a,T_a),V_b),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.19/0.73 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.19/0.73 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.19/0.73
% 0.19/0.73 cnf(cls_mult__pos__neg2_0,axiom,
% 0.19/0.73 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.19/0.73 | c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(V_b,T_a),V_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.19/0.73 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.19/0.73 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.19/0.73
% 0.19/0.73 cnf(cls_abs__le__D2_0,axiom,
% 0.19/0.73 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.19/0.73 | c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a),V_b,T_a)
% 0.19/0.73 | ~ c_lessequals(hAPP(c_HOL_Oabs__class_Oabs(T_a),V_a),V_b,T_a) ) ).
% 0.19/0.73
% 0.19/0.73 cnf(cls_mult__mono1_0,axiom,
% 0.19/0.73 ( ~ class_Ring__and__Field_Omult__mono1(T_a)
% 0.19/0.73 | c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(V_c,T_a),V_a),hAPP(c_HOL_Otimes__class_Otimes(V_c,T_a),V_b),T_a)
% 0.19/0.73 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.19/0.73 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.19/0.73
% 0.19/0.73 cnf(cls_mult__left__mono_0,axiom,
% 0.19/0.73 ( ~ class_Ring__and__Field_Omult__mono(T_a)
% 0.19/0.73 | c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(V_c,T_a),V_a),hAPP(c_HOL_Otimes__class_Otimes(V_c,T_a),V_b),T_a)
% 0.19/0.73 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.19/0.73 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.19/0.73
% 0.19/0.73 cnf(cls_mult__right__mono_0,axiom,
% 0.19/0.73 ( ~ class_Ring__and__Field_Omult__mono(T_a)
% 0.19/0.73 | c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(V_a,T_a),V_c),hAPP(c_HOL_Otimes__class_Otimes(V_b,T_a),V_c),T_a)
% 0.19/0.73 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.19/0.73 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.19/0.73
% 0.19/0.73 cnf(cls_mult__left__mono__neg_0,axiom,
% 0.19/0.73 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 0.19/0.73 | c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(V_c,T_a),V_a),hAPP(c_HOL_Otimes__class_Otimes(V_c,T_a),V_b),T_a)
% 0.19/0.73 | ~ c_lessequals(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.19/0.73 | ~ c_lessequals(V_b,V_a,T_a) ) ).
% 0.19/0.73
% 0.19/0.73 cnf(cls_mult__right__mono__neg_0,axiom,
% 0.19/0.73 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 0.19/0.73 | c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(V_a,T_a),V_c),hAPP(c_HOL_Otimes__class_Otimes(V_b,T_a),V_c),T_a)
% 0.19/0.73 | ~ c_lessequals(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.19/0.73 | ~ c_lessequals(V_b,V_a,T_a) ) ).
% 0.19/0.73
% 0.19/0.73 cnf(cls_of__real_OLIM__zero_0,axiom,
% 0.19/0.73 ( ~ class_RealVector_Oreal__normed__vector(T_b)
% 0.19/0.73 | ~ class_RealVector_Oreal__algebra__1(T_b)
% 0.19/0.73 | ~ class_RealVector_Ometric__space(T_a)
% 0.19/0.73 | c_Lim_OLIM(c_COMBB(c_RealVector_Oof__real(T_b),V_g,tc_RealDef_Oreal,T_b,T_a),V_a,c_HOL_Ozero__class_Ozero(T_b),T_a,T_b)
% 0.19/0.73 | ~ c_Lim_OLIM(V_g,V_a,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),T_a,tc_RealDef_Oreal) ) ).
% 0.19/0.73
% 0.19/0.73 cnf(cls_image__compose_0,axiom,
% 0.19/0.73 c_Set_Oimage(c_Fun_Ocomp(V_f,V_g,T_c,T_a,T_b),V_r,T_b,T_a) = c_Set_Oimage(V_f,c_Set_Oimage(V_g,V_r,T_b,T_c),T_c,T_a) ).
% 0.19/0.73
% 0.19/0.73 cnf(cls_scaleR__right_Ocont_0,axiom,
% 0.19/0.73 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 0.19/0.73 | c_Lim_OLIM(c_RealVector_OscaleR__class_OscaleR(V_r,T_a),V_a,hAPP(c_RealVector_OscaleR__class_OscaleR(V_r,T_a),V_a),T_a,T_a) ) ).
% 0.19/0.73
% 0.19/0.73 cnf(cls_mult__idem_0,axiom,
% 0.19/0.73 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(T_a)
% 0.19/0.73 | hAPP(c_HOL_Otimes__class_Otimes(V_x,T_a),V_x) = V_x ) ).
% 0.19/0.73
% 0.19/0.73 cnf(cls_mult__right_OLIM__zero_0,axiom,
% 0.19/0.73 ( ~ class_RealVector_Oreal__normed__algebra(T_b)
% 0.19/0.73 | ~ class_RealVector_Ometric__space(T_a)
% 0.19/0.73 | c_Lim_OLIM(c_COMBB(c_HOL_Otimes__class_Otimes(V_x,T_b),V_g,T_b,T_b,T_a),V_a,c_HOL_Ozero__class_Ozero(T_b),T_a,T_b)
% 0.19/0.73 | ~ c_Lim_OLIM(V_g,V_a,c_HOL_Ozero__class_Ozero(T_b),T_a,T_b) ) ).
% 0.19/0.73
% 0.19/0.73 cnf(cls_LIM__mult__right__zero_0,axiom,
% 0.19/0.73 ( ~ class_RealVector_Oreal__normed__algebra(T_b)
% 0.19/0.73 | ~ class_RealVector_Ometric__space(T_a)
% 0.19/0.73 | c_Lim_OLIM(c_COMBB(c_HOL_Otimes__class_Otimes(V_c,T_b),V_f,T_b,T_b,T_a),V_a,c_HOL_Ozero__class_Ozero(T_b),T_a,T_b)
% 0.19/0.73 | ~ c_Lim_OLIM(V_f,V_a,c_HOL_Ozero__class_Ozero(T_b),T_a,T_b) ) ).
% 0.19/0.73
% 0.19/0.73 cnf(cls_mult__strict__mono_H_0,axiom,
% 0.19/0.73 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.19/0.73 | c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(V_a,T_a),V_c),hAPP(c_HOL_Otimes__class_Otimes(V_b,T_a),V_d),T_a)
% 0.19/0.73 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.19/0.73 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.19/0.73 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a)
% 0.19/0.73 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.19/0.73
% 0.19/0.73 cnf(cls_comp__cong_0,axiom,
% 0.19/0.73 ( hAPP(V_f,hAPP(V_g,V_x)) != hAPP(V_f_H,hAPP(V_g_H,V_x_H))
% 0.19/0.73 | hAPP(c_Fun_Ocomp(V_f,V_g,T_b,T_a,T_c),V_x) = hAPP(c_Fun_Ocomp(V_f_H,V_g_H,T_d,T_a,T_e),V_x_H) ) ).
% 0.19/0.73
% 0.19/0.73 cnf(cls_o__eq__dest_0,axiom,
% 0.19/0.73 ( c_Fun_Ocomp(V_a,V_b,T_c,T_b,T_a) != c_Fun_Ocomp(V_c,V_d,T_d,T_b,T_a)
% 0.19/0.73 | hAPP(V_a,hAPP(V_b,V_v)) = hAPP(V_c,hAPP(V_d,V_v)) ) ).
% 0.19/0.73
% 0.19/0.73 cnf(cls_mult_Obounded__linear__right_0,axiom,
% 0.19/0.73 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 0.19/0.74 | c_RealVector_Obounded__linear(c_HOL_Otimes__class_Otimes(V_a,T_a),T_a,T_a) ) ).
% 0.19/0.74
% 0.19/0.74 cnf(cls_of__real__eq__0__iff_0,axiom,
% 0.19/0.74 ( ~ class_RealVector_Oreal__algebra__1(T_a)
% 0.19/0.74 | hAPP(c_RealVector_Oof__real(T_a),V_x) != c_HOL_Ozero__class_Ozero(T_a)
% 0.19/0.74 | V_x = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ).
% 0.19/0.74
% 0.19/0.74 cnf(cls_bounded__linear_OLIM__zero_0,axiom,
% 0.19/0.74 ( ~ class_RealVector_Oreal__normed__vector(T_b)
% 0.19/0.74 | ~ class_RealVector_Oreal__normed__vector(T_a)
% 0.19/0.74 | ~ class_RealVector_Ometric__space(T_c)
% 0.19/0.74 | c_Lim_OLIM(c_COMBB(V_f,V_g,T_a,T_b,T_c),V_a,c_HOL_Ozero__class_Ozero(T_b),T_c,T_b)
% 0.19/0.74 | ~ c_Lim_OLIM(V_g,V_a,c_HOL_Ozero__class_Ozero(T_a),T_c,T_a)
% 0.19/0.74 | ~ c_RealVector_Obounded__linear(V_f,T_a,T_b) ) ).
% 0.19/0.74
% 0.19/0.74 cnf(cls_split__mult__pos__le_0,axiom,
% 0.19/0.74 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 0.19/0.74 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),hAPP(c_HOL_Otimes__class_Otimes(V_a,T_a),V_b),T_a)
% 0.19/0.74 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.19/0.74 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.19/0.74
% 0.19/0.74 cnf(cls_split__mult__pos__le_1,axiom,
% 0.19/0.74 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 0.19/0.74 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),hAPP(c_HOL_Otimes__class_Otimes(V_a,T_a),V_b),T_a)
% 0.19/0.74 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.19/0.74 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.19/0.74
% 0.19/0.74 cnf(cls_mult__nonpos__nonpos_0,axiom,
% 0.19/0.74 ( ~ class_Ring__and__Field_Opordered__ring(T_a)
% 0.19/0.74 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),hAPP(c_HOL_Otimes__class_Otimes(V_a,T_a),V_b),T_a)
% 0.19/0.74 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.19/0.74 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.19/0.74
% 0.19/0.74 cnf(cls_zero__le__square_0,axiom,
% 0.19/0.74 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.19/0.74 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),hAPP(c_HOL_Otimes__class_Otimes(V_a,T_a),V_a),T_a) ) ).
% 0.19/0.74
% 0.19/0.74 cnf(cls_zero__le__mult__iff_4,axiom,
% 0.19/0.74 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.19/0.74 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),hAPP(c_HOL_Otimes__class_Otimes(V_a,T_a),V_b),T_a)
% 0.19/0.74 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.19/0.74 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.19/0.74
% 0.19/0.74 cnf(cls_zero__le__mult__iff_5,axiom,
% 0.19/0.74 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.19/0.74 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),hAPP(c_HOL_Otimes__class_Otimes(V_a,T_a),V_b),T_a)
% 0.19/0.74 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.19/0.74 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.19/0.74
% 0.19/0.74 cnf(cls_mult__nonneg__nonneg_0,axiom,
% 0.19/0.74 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 0.19/0.74 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),hAPP(c_HOL_Otimes__class_Otimes(V_a,T_a),V_b),T_a)
% 0.19/0.74 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.19/0.74 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.19/0.74
% 0.19/0.74 cnf(cls_ab__semigroup__mult__class_Omult__ac_I1_J_0,axiom,
% 0.19/0.74 ( ~ class_OrderedGroup_Oab__semigroup__mult(T_a)
% 0.19/0.74 | hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Otimes__class_Otimes(V_a,T_a),V_b),T_a),V_c) = hAPP(c_HOL_Otimes__class_Otimes(V_a,T_a),hAPP(c_HOL_Otimes__class_Otimes(V_b,T_a),V_c)) ) ).
% 0.19/0.74
% 0.19/0.74 cnf(cls_class__semiring_Osemiring__rules_I16_J_0,axiom,
% 0.19/0.74 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.19/0.74 | hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Otimes__class_Otimes(V_lx,T_a),V_ly),T_a),V_rx) = hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Otimes__class_Otimes(V_lx,T_a),V_rx),T_a),V_ly) ) ).
% 0.19/0.74
% 0.19/0.74 cnf(cls_class__semiring_Osemiring__rules_I17_J_0,axiom,
% 0.19/0.74 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.19/0.74 | hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Otimes__class_Otimes(V_lx,T_a),V_ly),T_a),V_rx) = hAPP(c_HOL_Otimes__class_Otimes(V_lx,T_a),hAPP(c_HOL_Otimes__class_Otimes(V_ly,T_a),V_rx)) ) ).
% 0.19/0.74
% 0.19/0.74 cnf(cls_class__semiring_Osemiring__rules_I18_J_0,axiom,
% 0.19/0.74 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.19/0.74 | hAPP(c_HOL_Otimes__class_Otimes(V_lx,T_a),hAPP(c_HOL_Otimes__class_Otimes(V_rx,T_a),V_ry)) = hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Otimes__class_Otimes(V_lx,T_a),V_rx),T_a),V_ry) ) ).
% 0.19/0.74
% 0.19/0.74 cnf(cls_class__semiring_Osemiring__rules_I19_J_0,axiom,
% 0.19/0.74 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.19/0.74 | hAPP(c_HOL_Otimes__class_Otimes(V_lx,T_a),hAPP(c_HOL_Otimes__class_Otimes(V_rx,T_a),V_ry)) = hAPP(c_HOL_Otimes__class_Otimes(V_rx,T_a),hAPP(c_HOL_Otimes__class_Otimes(V_lx,T_a),V_ry)) ) ).
% 0.19/0.74
% 0.19/0.74 cnf(cls_class__semiring_Omul__a_0,axiom,
% 0.19/0.74 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.19/0.74 | hAPP(c_HOL_Otimes__class_Otimes(V_x,T_a),hAPP(c_HOL_Otimes__class_Otimes(V_y,T_a),V_z)) = hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Otimes__class_Otimes(V_x,T_a),V_y),T_a),V_z) ) ).
% 0.19/0.74
% 0.19/0.74 cnf(cls_zero__le__mult__iff_0,axiom,
% 0.19/0.74 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.19/0.74 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.19/0.74 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.19/0.74 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),hAPP(c_HOL_Otimes__class_Otimes(V_a,T_a),V_b),T_a) ) ).
% 0.19/0.74
% 0.19/0.74 cnf(cls_zero__le__mult__iff_1,axiom,
% 0.19/0.74 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.19/0.74 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.19/0.74 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)
% 0.19/0.74 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),hAPP(c_HOL_Otimes__class_Otimes(V_a,T_a),V_b),T_a) ) ).
% 0.19/0.74
% 0.19/0.74 cnf(cls_zero__le__mult__iff_2,axiom,
% 0.19/0.74 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.19/0.74 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.19/0.74 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.19/0.74 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),hAPP(c_HOL_Otimes__class_Otimes(V_a,T_a),V_b),T_a) ) ).
% 0.19/0.74
% 0.19/0.74 cnf(cls_zero__le__mult__iff_3,axiom,
% 0.19/0.74 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.19/0.74 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.19/0.74 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.19/0.74 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),hAPP(c_HOL_Otimes__class_Otimes(V_a,T_a),V_b),T_a) ) ).
% 0.19/0.74
% 0.19/0.74 cnf(cls_neg__equal__zero_0,axiom,
% 0.19/0.74 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a)
% 0.19/0.74 | hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a) != V_a
% 0.19/0.74 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.19/0.74
% 0.19/0.74 cnf(cls_mult_Ominus__left_0,axiom,
% 0.19/0.74 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 0.19/0.74 | hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a),T_a),V_b) = hAPP(c_HOL_Ouminus__class_Ouminus(T_a),hAPP(c_HOL_Otimes__class_Otimes(V_a,T_a),V_b)) ) ).
% 0.19/0.74
% 0.19/0.74 cnf(cls_mult__left_Ominus_0,axiom,
% 0.19/0.74 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 0.19/0.74 | hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_x),T_a),V_y) = hAPP(c_HOL_Ouminus__class_Ouminus(T_a),hAPP(c_HOL_Otimes__class_Otimes(V_x,T_a),V_y)) ) ).
% 0.19/0.74
% 0.19/0.74 cnf(cls_mult_Ominus__right_0,axiom,
% 0.19/0.74 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 0.19/0.74 | hAPP(c_HOL_Otimes__class_Otimes(V_a,T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b)) = hAPP(c_HOL_Ouminus__class_Ouminus(T_a),hAPP(c_HOL_Otimes__class_Otimes(V_a,T_a),V_b)) ) ).
% 0.19/0.74
% 0.19/0.74 cnf(cls_mult__right_Ominus_0,axiom,
% 0.19/0.74 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 0.19/0.74 | hAPP(c_HOL_Otimes__class_Otimes(V_xa,T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_x)) = hAPP(c_HOL_Ouminus__class_Ouminus(T_a),hAPP(c_HOL_Otimes__class_Otimes(V_xa,T_a),V_x)) ) ).
% 0.19/0.74
% 0.19/0.74 cnf(cls_square__eq__iff_1,axiom,
% 0.19/0.74 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.19/0.74 | hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b),T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b)) = hAPP(c_HOL_Otimes__class_Otimes(V_b,T_a),V_b) ) ).
% 0.19/0.74
% 0.19/0.74 cnf(cls_minus__mult__minus_0,axiom,
% 0.19/0.74 ( ~ class_Ring__and__Field_Oring(T_a)
% 0.19/0.74 | hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a),T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b)) = hAPP(c_HOL_Otimes__class_Otimes(V_a,T_a),V_b) ) ).
% 0.19/0.74
% 0.19/0.74 cnf(cls_mult__mono_0,axiom,
% 0.19/0.74 ( ~ class_Ring__and__Field_Opordered__semiring(T_a)
% 0.19/0.74 | c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(V_a,T_a),V_c),hAPP(c_HOL_Otimes__class_Otimes(V_b,T_a),V_d),T_a)
% 0.19/0.74 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.19/0.74 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,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_mult__mono_H_0,axiom,
% 0.19/0.74 ( ~ class_Ring__and__Field_Opordered__semiring(T_a)
% 0.19/0.74 | c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(V_a,T_a),V_c),hAPP(c_HOL_Otimes__class_Otimes(V_b,T_a),V_d),T_a)
% 0.19/0.74 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.19/0.74 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_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_norm__ge__zero_0,axiom,
% 0.19/0.74 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 0.19/0.74 | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(c_RealVector_Onorm__class_Onorm(T_a),V_x),tc_RealDef_Oreal) ) ).
% 0.19/0.74
% 0.19/0.74 cnf(cls_Im_Ominus_0,axiom,
% 0.19/0.74 hAPP(c_Complex_OIm,hAPP(c_HOL_Ouminus__class_Ouminus(tc_Complex_Ocomplex),V_x)) = hAPP(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),hAPP(c_Complex_OIm,V_x)) ).
% 0.19/0.74
% 0.19/0.74 cnf(cls_mult__less__cancel__left__disj_0,axiom,
% 0.19/0.74 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.19/0.74 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.19/0.74 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.19/0.74 | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(V_c,T_a),V_a),hAPP(c_HOL_Otimes__class_Otimes(V_c,T_a),V_b),T_a) ) ).
% 0.19/0.74
% 0.19/0.74 cnf(cls_mult__less__cancel__left__disj_3,axiom,
% 0.19/0.74 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.19/0.74 | c_HOL_Oord__class_Oless(V_b,V_a,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(hAPP(c_HOL_Otimes__class_Otimes(V_c,T_a),V_a),hAPP(c_HOL_Otimes__class_Otimes(V_c,T_a),V_b),T_a) ) ).
% 0.19/0.74
% 0.19/0.74 cnf(cls_mult__less__cancel__right__disj_0,axiom,
% 0.19/0.74 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.19/0.74 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.19/0.74 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.19/0.74 | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(V_a,T_a),V_c),hAPP(c_HOL_Otimes__class_Otimes(V_b,T_a),V_c),T_a) ) ).
% 0.19/0.74
% 0.19/0.74 cnf(cls_mult__less__cancel__right__disj_3,axiom,
% 0.19/0.74 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.19/0.74 | c_HOL_Oord__class_Oless(V_b,V_a,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(hAPP(c_HOL_Otimes__class_Otimes(V_a,T_a),V_c),hAPP(c_HOL_Otimes__class_Otimes(V_b,T_a),V_c),T_a) ) ).
% 0.19/0.74
% 0.19/0.74 cnf(cls_Complex__eq__0_2,axiom,
% 0.19/0.74 c_Complex_Ocomplex_OComplex(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ).
% 0.19/0.74
% 0.19/0.74 cnf(cls_abs__leI_0,axiom,
% 0.19/0.74 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.19/0.74 | c_lessequals(hAPP(c_HOL_Oabs__class_Oabs(T_a),V_a),V_b,T_a)
% 0.19/0.74 | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a),V_b,T_a)
% 0.19/0.74 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.19/0.74
% 0.19/0.74 cnf(cls_abs__le__iff_2,axiom,
% 0.19/0.74 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.19/0.74 | c_lessequals(hAPP(c_HOL_Oabs__class_Oabs(T_a),V_a),V_b,T_a)
% 0.19/0.74 | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a),V_b,T_a)
% 0.19/0.74 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.19/0.74
% 0.19/0.74 cnf(cls_abs__minus__cancel_0,axiom,
% 0.19/0.74 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.19/0.74 | hAPP(c_HOL_Oabs__class_Oabs(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a)) = hAPP(c_HOL_Oabs__class_Oabs(T_a),V_a) ) ).
% 0.19/0.74
% 0.19/0.74 cnf(cls_not__square__less__zero_0,axiom,
% 0.19/0.74 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.19/0.74 | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(V_a,T_a),V_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.19/0.74
% 0.19/0.74 cnf(cls_mult__le__0__iff_4,axiom,
% 0.19/0.74 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.19/0.74 | c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(V_a,T_a),V_b),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.19/0.74 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.19/0.74 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.19/0.74
% 0.19/0.74 cnf(cls_mult__le__0__iff_5,axiom,
% 0.19/0.74 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.19/0.74 | c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(V_a,T_a),V_b),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.19/0.74 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.19/0.74 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.19/0.74
% 0.19/0.74 cnf(cls_split__mult__neg__le_0,axiom,
% 0.19/0.74 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 0.19/0.74 | c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(V_a,T_a),V_b),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.19/0.74 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.19/0.74 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.19/0.74
% 0.19/0.74 cnf(cls_split__mult__neg__le_1,axiom,
% 0.19/0.74 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 0.19/0.74 | c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(V_a,T_a),V_b),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.19/0.74 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.19/0.74 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.19/0.74
% 0.19/0.74 cnf(cls_mult__nonneg__nonpos_0,axiom,
% 0.19/0.74 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 0.19/0.74 | c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(V_a,T_a),V_b),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.19/0.74 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.19/0.74 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.19/0.74
% 0.19/0.74 cnf(cls_mult__nonpos__nonneg_0,axiom,
% 0.19/0.74 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 0.19/0.74 | c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(V_a,T_a),V_b),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.19/0.74 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)
% 0.19/0.74 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.19/0.74
% 0.19/0.74 cnf(cls_mult__nonneg__nonpos2_0,axiom,
% 0.19/0.74 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 0.19/0.74 | c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(V_b,T_a),V_a),c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.19/0.74 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.19/0.74 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ).
% 0.19/0.74
% 0.19/0.74 cnf(cls_abs__le__zero__iff_1,axiom,
% 0.19/0.74 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.19/0.74 | c_lessequals(hAPP(c_HOL_Oabs__class_Oabs(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.19/0.74
% 0.19/0.74 cnf(cls_neg__0__le__iff__le_0,axiom,
% 0.19/0.74 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.19/0.74 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.19/0.74 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a),T_a) ) ).
% 0.19/0.74
% 0.19/0.74 cnf(cls_neg__0__le__iff__le_1,axiom,
% 0.19/0.74 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.19/0.74 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a),T_a)
% 0.19/0.74 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.19/0.74
% 0.19/0.74 cnf(cls_scaleR__eq__0__iff_0,axiom,
% 0.19/0.74 ( ~ class_RealVector_Oreal__vector(T_a)
% 0.19/0.74 | hAPP(c_RealVector_OscaleR__class_OscaleR(V_a,T_a),V_x) != c_HOL_Ozero__class_Ozero(T_a)
% 0.19/0.74 | V_x = c_HOL_Ozero__class_Ozero(T_a)
% 0.19/0.74 | V_a = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ).
% 0.19/0.74
% 0.19/0.74 cnf(cls_mult_OscaleR__left_0,axiom,
% 0.19/0.74 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 0.19/0.74 | hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_RealVector_OscaleR__class_OscaleR(V_r,T_a),V_a),T_a),V_b) = hAPP(c_RealVector_OscaleR__class_OscaleR(V_r,T_a),hAPP(c_HOL_Otimes__class_Otimes(V_a,T_a),V_b)) ) ).
% 0.19/0.74
% 0.19/0.74 cnf(cls_mult__left_OscaleR_0,axiom,
% 0.19/0.74 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 0.19/0.74 | hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_RealVector_OscaleR__class_OscaleR(V_r,T_a),V_x),T_a),V_y) = hAPP(c_RealVector_OscaleR__class_OscaleR(V_r,T_a),hAPP(c_HOL_Otimes__class_Otimes(V_x,T_a),V_y)) ) ).
% 0.19/0.74
% 0.19/0.74 cnf(cls_mult_OscaleR__right_0,axiom,
% 0.19/0.74 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 0.19/0.74 | hAPP(c_HOL_Otimes__class_Otimes(V_a,T_a),hAPP(c_RealVector_OscaleR__class_OscaleR(V_r,T_a),V_b)) = hAPP(c_RealVector_OscaleR__class_OscaleR(V_r,T_a),hAPP(c_HOL_Otimes__class_Otimes(V_a,T_a),V_b)) ) ).
% 0.19/0.74
% 0.19/0.74 cnf(cls_mult__right_OscaleR_0,axiom,
% 0.19/0.74 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 0.19/0.74 | hAPP(c_HOL_Otimes__class_Otimes(V_xa,T_a),hAPP(c_RealVector_OscaleR__class_OscaleR(V_r,T_a),V_x)) = hAPP(c_RealVector_OscaleR__class_OscaleR(V_r,T_a),hAPP(c_HOL_Otimes__class_Otimes(V_xa,T_a),V_x)) ) ).
% 0.19/0.74
% 0.19/0.74 cnf(cls_mult__scaleR__left_0,axiom,
% 0.19/0.74 ( ~ class_RealVector_Oreal__algebra(T_a)
% 0.19/0.75 | hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_RealVector_OscaleR__class_OscaleR(V_a,T_a),V_x),T_a),V_y) = hAPP(c_RealVector_OscaleR__class_OscaleR(V_a,T_a),hAPP(c_HOL_Otimes__class_Otimes(V_x,T_a),V_y)) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_mult__scaleR__right_0,axiom,
% 0.19/0.75 ( ~ class_RealVector_Oreal__algebra(T_a)
% 0.19/0.75 | hAPP(c_HOL_Otimes__class_Otimes(V_x,T_a),hAPP(c_RealVector_OscaleR__class_OscaleR(V_a,T_a),V_y)) = hAPP(c_RealVector_OscaleR__class_OscaleR(V_a,T_a),hAPP(c_HOL_Otimes__class_Otimes(V_x,T_a),V_y)) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_bounded__linear_OscaleR_0,axiom,
% 0.19/0.75 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 0.19/0.75 | ~ class_RealVector_Oreal__normed__vector(T_b)
% 0.19/0.75 | hAPP(V_f,hAPP(c_RealVector_OscaleR__class_OscaleR(V_r,T_a),V_x)) = hAPP(c_RealVector_OscaleR__class_OscaleR(V_r,T_b),hAPP(V_f,V_x))
% 0.19/0.75 | ~ c_RealVector_Obounded__linear(V_f,T_a,T_b) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_complex__minus_0,axiom,
% 0.19/0.75 hAPP(c_HOL_Ouminus__class_Ouminus(tc_Complex_Ocomplex),c_Complex_Ocomplex_OComplex(V_a,V_b)) = c_Complex_Ocomplex_OComplex(hAPP(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),V_a),hAPP(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),V_b)) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_le__minus__self__iff_0,axiom,
% 0.19/0.75 ( ~ class_OrderedGroup_Olordered__ab__group__add(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_a,hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a),T_a) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_le__minus__self__iff_1,axiom,
% 0.19/0.75 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.19/0.75 | c_lessequals(V_a,hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_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_minus__le__self__iff_0,axiom,
% 0.19/0.75 ( ~ class_OrderedGroup_Olordered__ab__group__add(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(hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a),V_a,T_a) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_minus__le__self__iff_1,axiom,
% 0.19/0.75 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.19/0.75 | c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a),V_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_less__eq__neg__nonpos_0,axiom,
% 0.19/0.75 ( ~ class_OrderedGroup_Oordered__ab__group__add(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_a,hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a),T_a) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_less__eq__neg__nonpos_1,axiom,
% 0.19/0.75 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a)
% 0.19/0.75 | c_lessequals(V_a,hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_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_neg__less__eq__nonneg_0,axiom,
% 0.19/0.75 ( ~ class_OrderedGroup_Oordered__ab__group__add(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(hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a),V_a,T_a) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_neg__less__eq__nonneg_1,axiom,
% 0.19/0.75 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a)
% 0.19/0.75 | c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a),V_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_scaleR__right_OisCont_0,axiom,
% 0.19/0.75 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 0.19/0.75 | c_Lim_OisCont(c_RealVector_OscaleR__class_OscaleR(V_r,T_a),V_a,T_a,T_a) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_abs__idempotent_0,axiom,
% 0.19/0.75 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.19/0.75 | hAPP(c_HOL_Oabs__class_Oabs(T_a),hAPP(c_HOL_Oabs__class_Oabs(T_a),V_a)) = hAPP(c_HOL_Oabs__class_Oabs(T_a),V_a) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_zero__less__abs__iff_1,axiom,
% 0.19/0.75 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.19/0.75 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),hAPP(c_HOL_Oabs__class_Oabs(T_a),V_a),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_norm__minus__cancel_0,axiom,
% 0.19/0.75 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 0.19/0.75 | hAPP(c_RealVector_Onorm__class_Onorm(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_x)) = hAPP(c_RealVector_Onorm__class_Onorm(T_a),V_x) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_scaleR_OscaleR__right_0,axiom,
% 0.19/0.75 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 0.19/0.75 | hAPP(c_RealVector_OscaleR__class_OscaleR(V_a,T_a),hAPP(c_RealVector_OscaleR__class_OscaleR(V_r,T_a),V_b)) = hAPP(c_RealVector_OscaleR__class_OscaleR(V_r,T_a),hAPP(c_RealVector_OscaleR__class_OscaleR(V_a,T_a),V_b)) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_scaleR__left__commute_0,axiom,
% 0.19/0.75 ( ~ class_RealVector_Oreal__vector(T_a)
% 0.19/0.75 | hAPP(c_RealVector_OscaleR__class_OscaleR(V_a,T_a),hAPP(c_RealVector_OscaleR__class_OscaleR(V_b,T_a),V_x)) = hAPP(c_RealVector_OscaleR__class_OscaleR(V_b,T_a),hAPP(c_RealVector_OscaleR__class_OscaleR(V_a,T_a),V_x)) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_scaleR__right_OscaleR_0,axiom,
% 0.19/0.75 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 0.19/0.75 | hAPP(c_RealVector_OscaleR__class_OscaleR(V_ra,T_a),hAPP(c_RealVector_OscaleR__class_OscaleR(V_r,T_a),V_x)) = hAPP(c_RealVector_OscaleR__class_OscaleR(V_r,T_a),hAPP(c_RealVector_OscaleR__class_OscaleR(V_ra,T_a),V_x)) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_norm__zero_0,axiom,
% 0.19/0.75 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 0.19/0.75 | hAPP(c_RealVector_Onorm__class_Onorm(T_a),c_HOL_Ozero__class_Ozero(T_a)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_LIMSEQ__norm__zero_1,axiom,
% 0.19/0.75 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 0.19/0.75 | c_SEQ_OLIMSEQ(c_COMBB(c_RealVector_Onorm__class_Onorm(T_a),V_X,T_a,tc_RealDef_Oreal,tc_nat),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 0.19/0.75 | ~ c_SEQ_OLIMSEQ(V_X,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_LIMSEQ__norm__zero_0,axiom,
% 0.19/0.75 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 0.19/0.75 | c_SEQ_OLIMSEQ(V_X,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.19/0.75 | ~ c_SEQ_OLIMSEQ(c_COMBB(c_RealVector_Onorm__class_Onorm(T_a),V_X,T_a,tc_RealDef_Oreal,tc_nat),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_complex__zero__def_0,axiom,
% 0.19/0.75 c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_Complex_Ocomplex_OComplex(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_o__eq__dest__lhs_0,axiom,
% 0.19/0.75 hAPP(V_a,hAPP(V_b,V_v)) = hAPP(c_Fun_Ocomp(V_a,V_b,T_c,T_b,T_a),V_v) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_o__apply_0,axiom,
% 0.19/0.75 hAPP(c_Fun_Ocomp(V_f,V_g,T_b,T_a,T_c),V_x) = hAPP(V_f,hAPP(V_g,V_x)) ).
% 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(hAPP(c_HOL_Otimes__class_Otimes(V_a,T_a),V_b),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(hAPP(c_HOL_Otimes__class_Otimes(V_a,T_a),V_b),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(hAPP(c_HOL_Otimes__class_Otimes(V_a,T_a),V_b),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(hAPP(c_HOL_Otimes__class_Otimes(V_a,T_a),V_b),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_abs__less__iff_2,axiom,
% 0.19/0.75 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.19/0.75 | c_HOL_Oord__class_Oless(hAPP(c_HOL_Oabs__class_Oabs(T_a),V_a),V_b,T_a)
% 0.19/0.75 | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a),V_b,T_a)
% 0.19/0.75 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_neg__le__0__iff__le_1,axiom,
% 0.19/0.75 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.19/0.75 | c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(T_a),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
% 0.19/0.75 cnf(cls_neg__le__0__iff__le_0,axiom,
% 0.19/0.75 ( ~ class_OrderedGroup_Opordered__ab__group__add(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(hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_mult__left__idem_0,axiom,
% 0.19/0.75 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(T_a)
% 0.19/0.75 | hAPP(c_HOL_Otimes__class_Otimes(V_x,T_a),hAPP(c_HOL_Otimes__class_Otimes(V_x,T_a),V_y)) = hAPP(c_HOL_Otimes__class_Otimes(V_x,T_a),V_y) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_bounded__linear_OisUCont_0,axiom,
% 0.19/0.75 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 0.19/0.75 | ~ class_RealVector_Oreal__normed__vector(T_b)
% 0.19/0.75 | c_Lim_OisUCont(V_f,T_a,T_b)
% 0.19/0.75 | ~ c_RealVector_Obounded__linear(V_f,T_a,T_b) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_minus__mult__right_0,axiom,
% 0.19/0.75 ( ~ class_Ring__and__Field_Oring(T_a)
% 0.19/0.75 | hAPP(c_HOL_Ouminus__class_Ouminus(T_a),hAPP(c_HOL_Otimes__class_Otimes(V_a,T_a),V_b)) = hAPP(c_HOL_Otimes__class_Otimes(V_a,T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b)) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_minus__mult__left_0,axiom,
% 0.19/0.75 ( ~ class_Ring__and__Field_Oring(T_a)
% 0.19/0.75 | hAPP(c_HOL_Ouminus__class_Ouminus(T_a),hAPP(c_HOL_Otimes__class_Otimes(V_a,T_a),V_b)) = hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a),T_a),V_b) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_abs__eq__mult_3,axiom,
% 0.19/0.75 ( ~ class_Ring__and__Field_Opordered__ring__abs(T_a)
% 0.19/0.75 | hAPP(c_HOL_Oabs__class_Oabs(T_a),hAPP(c_HOL_Otimes__class_Otimes(V_a,T_a),V_b)) = hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Oabs__class_Oabs(T_a),V_a),T_a),hAPP(c_HOL_Oabs__class_Oabs(T_a),V_b))
% 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_abs__eq__mult_2,axiom,
% 0.19/0.75 ( ~ class_Ring__and__Field_Opordered__ring__abs(T_a)
% 0.19/0.75 | hAPP(c_HOL_Oabs__class_Oabs(T_a),hAPP(c_HOL_Otimes__class_Otimes(V_a,T_a),V_b)) = hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Oabs__class_Oabs(T_a),V_a),T_a),hAPP(c_HOL_Oabs__class_Oabs(T_a),V_b))
% 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_abs__eq__mult_1,axiom,
% 0.19/0.75 ( ~ class_Ring__and__Field_Opordered__ring__abs(T_a)
% 0.19/0.75 | hAPP(c_HOL_Oabs__class_Oabs(T_a),hAPP(c_HOL_Otimes__class_Otimes(V_a,T_a),V_b)) = hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Oabs__class_Oabs(T_a),V_a),T_a),hAPP(c_HOL_Oabs__class_Oabs(T_a),V_b))
% 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_abs__eq__mult_0,axiom,
% 0.19/0.75 ( ~ class_Ring__and__Field_Opordered__ring__abs(T_a)
% 0.19/0.75 | hAPP(c_HOL_Oabs__class_Oabs(T_a),hAPP(c_HOL_Otimes__class_Otimes(V_a,T_a),V_b)) = hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Oabs__class_Oabs(T_a),V_a),T_a),hAPP(c_HOL_Oabs__class_Oabs(T_a),V_b))
% 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_abs__mult_0,axiom,
% 0.19/0.75 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.19/0.75 | hAPP(c_HOL_Oabs__class_Oabs(T_a),hAPP(c_HOL_Otimes__class_Otimes(V_a,T_a),V_b)) = hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Oabs__class_Oabs(T_a),V_a),T_a),hAPP(c_HOL_Oabs__class_Oabs(T_a),V_b)) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_abs__of__nonneg_0,axiom,
% 0.19/0.75 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.19/0.75 | hAPP(c_HOL_Oabs__class_Oabs(T_a),V_a) = V_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_real__le__antisym_0,axiom,
% 0.19/0.75 ( V_z = V_w
% 0.19/0.75 | ~ c_lessequals(V_w,V_z,tc_RealDef_Oreal)
% 0.19/0.75 | ~ c_lessequals(V_z,V_w,tc_RealDef_Oreal) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_mult__right_OisUCont_0,axiom,
% 0.19/0.75 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 0.19/0.75 | c_Lim_OisUCont(c_HOL_Otimes__class_Otimes(V_x,T_a),T_a,T_a) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_abs__le__zero__iff_0,axiom,
% 0.19/0.75 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.19/0.75 | V_a = c_HOL_Ozero__class_Ozero(T_a)
% 0.19/0.75 | ~ c_lessequals(hAPP(c_HOL_Oabs__class_Oabs(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_class__semiring_Osemiring__rules_I15_J_0,axiom,
% 0.19/0.75 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.19/0.75 | hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Otimes__class_Otimes(V_lx,T_a),V_ly),T_a),hAPP(c_HOL_Otimes__class_Otimes(V_rx,T_a),V_ry)) = hAPP(c_HOL_Otimes__class_Otimes(V_rx,T_a),hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Otimes__class_Otimes(V_lx,T_a),V_ly),T_a),V_ry)) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_class__semiring_Osemiring__rules_I14_J_0,axiom,
% 0.19/0.75 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.19/0.75 | hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Otimes__class_Otimes(V_lx,T_a),V_ly),T_a),hAPP(c_HOL_Otimes__class_Otimes(V_rx,T_a),V_ry)) = hAPP(c_HOL_Otimes__class_Otimes(V_lx,T_a),hAPP(c_HOL_Otimes__class_Otimes(V_ly,T_a),hAPP(c_HOL_Otimes__class_Otimes(V_rx,T_a),V_ry))) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_class__semiring_Osemiring__rules_I13_J_0,axiom,
% 0.19/0.75 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.19/0.75 | hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Otimes__class_Otimes(V_lx,T_a),V_ly),T_a),hAPP(c_HOL_Otimes__class_Otimes(V_rx,T_a),V_ry)) = hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Otimes__class_Otimes(V_lx,T_a),V_rx),T_a),hAPP(c_HOL_Otimes__class_Otimes(V_ly,T_a),V_ry)) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_neg__equal__0__iff__equal_0,axiom,
% 0.19/0.75 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.19/0.75 | hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a) != 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_of__real__0_0,axiom,
% 0.19/0.75 ( ~ class_RealVector_Oreal__algebra__1(T_a)
% 0.19/0.75 | hAPP(c_RealVector_Oof__real(T_a),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_of__real_Ozero_0,axiom,
% 0.19/0.75 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 0.19/0.75 | ~ class_RealVector_Oreal__algebra__1(T_a)
% 0.19/0.75 | hAPP(c_RealVector_Oof__real(T_a),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_mult__right_Ocont_0,axiom,
% 0.19/0.75 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 0.19/0.75 | c_Lim_OLIM(c_HOL_Otimes__class_Otimes(V_x,T_a),V_a,hAPP(c_HOL_Otimes__class_Otimes(V_x,T_a),V_a),T_a,T_a) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_abs__less__iff_1,axiom,
% 0.19/0.75 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.19/0.75 | c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a),V_b,T_a)
% 0.19/0.75 | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Oabs__class_Oabs(T_a),V_a),V_b,T_a) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_mult__right_OisCont_0,axiom,
% 0.19/0.75 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 0.19/0.75 | c_Lim_OisCont(c_HOL_Otimes__class_Otimes(V_x,T_a),V_a,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),hAPP(c_HOL_Otimes__class_Otimes(V_b,T_a),V_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),hAPP(c_HOL_Otimes__class_Otimes(V_a,T_a),V_b),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),hAPP(c_HOL_Otimes__class_Otimes(V_a,T_a),V_b),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),hAPP(c_HOL_Otimes__class_Otimes(V_a,T_a),V_b),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(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_mult__eq__0__iff_0,axiom,
% 0.19/0.75 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(T_a)
% 0.19/0.75 | hAPP(c_HOL_Otimes__class_Otimes(V_a,T_a),V_b) != c_HOL_Ozero__class_Ozero(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_no__zero__divisors_0,axiom,
% 0.19/0.75 ( ~ class_Ring__and__Field_Ono__zero__divisors(T_a)
% 0.19/0.75 | hAPP(c_HOL_Otimes__class_Otimes(V_a,T_a),V_b) != c_HOL_Ozero__class_Ozero(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_no__zero__divirors__neq0_0,axiom,
% 0.19/0.75 ( ~ class_Ring__and__Field_Ono__zero__divisors(T_a)
% 0.19/0.75 | hAPP(c_HOL_Otimes__class_Otimes(V_a,T_a),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 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_abs__of__neg_0,axiom,
% 0.19/0.75 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.19/0.75 | hAPP(c_HOL_Oabs__class_Oabs(T_a),V_a) = hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_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_abs__if_0,axiom,
% 0.19/0.75 ( ~ class_Ring__and__Field_Oabs__if(T_a)
% 0.19/0.75 | hAPP(c_HOL_Oabs__class_Oabs(T_a),V_a) = hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_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_abs__if__lattice_0,axiom,
% 0.19/0.75 ( ~ class_Orderings_Olinorder(T_a)
% 0.19/0.75 | ~ class_OrderedGroup_Olordered__ab__group__add__abs(T_a)
% 0.19/0.75 | hAPP(c_HOL_Oabs__class_Oabs(T_a),V_a) = hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_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_square__eq__iff_0,axiom,
% 0.19/0.75 ( ~ class_Ring__and__Field_Oidom(T_a)
% 0.19/0.75 | hAPP(c_HOL_Otimes__class_Otimes(V_a,T_a),V_a) != hAPP(c_HOL_Otimes__class_Otimes(V_b,T_a),V_b)
% 0.19/0.75 | V_a = hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b)
% 0.19/0.75 | V_a = V_b ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_mult__less__imp__less__right_0,axiom,
% 0.19/0.75 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.19/0.75 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.19/0.75 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.19/0.75 | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(V_a,T_a),V_c),hAPP(c_HOL_Otimes__class_Otimes(V_b,T_a),V_c),T_a) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_mult__less__imp__less__left_0,axiom,
% 0.19/0.75 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.19/0.75 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.19/0.75 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.19/0.75 | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(V_c,T_a),V_a),hAPP(c_HOL_Otimes__class_Otimes(V_c,T_a),V_b),T_a) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_mult__right__less__imp__less_0,axiom,
% 0.19/0.75 ( ~ class_Ring__and__Field_Oordered__semiring(T_a)
% 0.19/0.75 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.19/0.75 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.19/0.75 | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(V_a,T_a),V_c),hAPP(c_HOL_Otimes__class_Otimes(V_b,T_a),V_c),T_a) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_mult__left__less__imp__less_0,axiom,
% 0.19/0.75 ( ~ class_Ring__and__Field_Oordered__semiring(T_a)
% 0.19/0.75 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.19/0.75 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.19/0.75 | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(V_c,T_a),V_a),hAPP(c_HOL_Otimes__class_Otimes(V_c,T_a),V_b),T_a) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_scaleR_OLIM__right__zero_0,axiom,
% 0.19/0.75 ( ~ class_RealVector_Oreal__normed__vector(T_b)
% 0.19/0.75 | ~ class_RealVector_Ometric__space(T_a)
% 0.19/0.75 | c_Lim_OLIM(c_COMBB(c_RealVector_OscaleR__class_OscaleR(V_c,T_b),V_f,T_b,T_b,T_a),V_a,c_HOL_Ozero__class_Ozero(T_b),T_a,T_b)
% 0.19/0.75 | ~ c_Lim_OLIM(V_f,V_a,c_HOL_Ozero__class_Ozero(T_b),T_a,T_b) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_scaleR__right_OLIM__zero_0,axiom,
% 0.19/0.75 ( ~ class_RealVector_Oreal__normed__vector(T_b)
% 0.19/0.75 | ~ class_RealVector_Ometric__space(T_a)
% 0.19/0.75 | c_Lim_OLIM(c_COMBB(c_RealVector_OscaleR__class_OscaleR(V_r,T_b),V_g,T_b,T_b,T_a),V_a,c_HOL_Ozero__class_Ozero(T_b),T_a,T_b)
% 0.19/0.75 | ~ c_Lim_OLIM(V_g,V_a,c_HOL_Ozero__class_Ozero(T_b),T_a,T_b) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_scaleR__minus__right_0,axiom,
% 0.19/0.75 ( ~ class_RealVector_Oreal__vector(T_a)
% 0.19/0.75 | hAPP(c_RealVector_OscaleR__class_OscaleR(V_a,T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_x)) = hAPP(c_HOL_Ouminus__class_Ouminus(T_a),hAPP(c_RealVector_OscaleR__class_OscaleR(V_a,T_a),V_x)) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_scaleR_Ominus__right_0,axiom,
% 0.19/0.75 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 0.19/0.75 | hAPP(c_RealVector_OscaleR__class_OscaleR(V_a,T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b)) = hAPP(c_HOL_Ouminus__class_Ouminus(T_a),hAPP(c_RealVector_OscaleR__class_OscaleR(V_a,T_a),V_b)) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_scaleR__minus__left_0,axiom,
% 0.19/0.75 ( ~ class_RealVector_Oreal__vector(T_a)
% 0.19/0.75 | hAPP(c_RealVector_OscaleR__class_OscaleR(hAPP(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),V_a),T_a),V_x) = hAPP(c_HOL_Ouminus__class_Ouminus(T_a),hAPP(c_RealVector_OscaleR__class_OscaleR(V_a,T_a),V_x)) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_scaleR__left_Ominus_0,axiom,
% 0.19/0.75 ( ~ class_RealVector_Oreal__vector(T_a)
% 0.19/0.75 | hAPP(c_RealVector_OscaleR__class_OscaleR(hAPP(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),V_x),T_a),V_xa) = hAPP(c_HOL_Ouminus__class_Ouminus(T_a),hAPP(c_RealVector_OscaleR__class_OscaleR(V_x,T_a),V_xa)) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_scaleR_Ominus__left_0,axiom,
% 0.19/0.75 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 0.19/0.75 | hAPP(c_RealVector_OscaleR__class_OscaleR(hAPP(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),V_a),T_a),V_b) = hAPP(c_HOL_Ouminus__class_Ouminus(T_a),hAPP(c_RealVector_OscaleR__class_OscaleR(V_a,T_a),V_b)) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_norm__eq__zero_0,axiom,
% 0.19/0.75 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 0.19/0.75 | hAPP(c_RealVector_Onorm__class_Onorm(T_a),V_x) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 0.19/0.75 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_abs__minus__le__zero_0,axiom,
% 0.19/0.75 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.19/0.75 | c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(T_a),hAPP(c_HOL_Oabs__class_Oabs(T_a),V_a)),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_norm__le__zero__iff_1,axiom,
% 0.19/0.75 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 0.19/0.75 | c_lessequals(hAPP(c_RealVector_Onorm__class_Onorm(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_abs__le__mult_0,axiom,
% 0.19/0.75 ( ~ class_Ring__and__Field_Olordered__ring(T_a)
% 0.19/0.75 | c_lessequals(hAPP(c_HOL_Oabs__class_Oabs(T_a),hAPP(c_HOL_Otimes__class_Otimes(V_a,T_a),V_b)),hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Oabs__class_Oabs(T_a),V_a),T_a),hAPP(c_HOL_Oabs__class_Oabs(T_a),V_b)),T_a) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_abs__le__D1_0,axiom,
% 0.19/0.75 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.19/0.75 | c_lessequals(V_a,V_b,T_a)
% 0.19/0.75 | ~ c_lessequals(hAPP(c_HOL_Oabs__class_Oabs(T_a),V_a),V_b,T_a) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_mult__strict__mono_0,axiom,
% 0.19/0.75 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.19/0.75 | c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(V_a,T_a),V_c),hAPP(c_HOL_Otimes__class_Otimes(V_b,T_a),V_d),T_a)
% 0.19/0.75 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,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_c,V_d,T_a)
% 0.19/0.75 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_norm__le__zero__iff_0,axiom,
% 0.19/0.75 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 0.19/0.75 | V_x = c_HOL_Ozero__class_Ozero(T_a)
% 0.19/0.75 | ~ c_lessequals(hAPP(c_RealVector_Onorm__class_Onorm(T_a),V_x),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_neg__less__0__iff__less_1,axiom,
% 0.19/0.75 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.19/0.75 | c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_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_a,T_a) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_neg__less__0__iff__less_0,axiom,
% 0.19/0.75 ( ~ class_OrderedGroup_Opordered__ab__group__add(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(hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_abs__mult__less_0,axiom,
% 0.19/0.75 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.19/0.75 | c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Oabs__class_Oabs(T_a),V_a),T_a),hAPP(c_HOL_Oabs__class_Oabs(T_a),V_b)),hAPP(c_HOL_Otimes__class_Otimes(V_c,T_a),V_d),T_a)
% 0.19/0.75 | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Oabs__class_Oabs(T_a),V_b),V_d,T_a)
% 0.19/0.75 | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Oabs__class_Oabs(T_a),V_a),V_c,T_a) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_cnj_Ozero_0,axiom,
% 0.19/0.75 hAPP(c_Complex_Ocnj,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_class__semiring_Omul__c_0,axiom,
% 0.19/0.75 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.19/0.75 | hAPP(c_HOL_Otimes__class_Otimes(V_x,T_a),V_y) = hAPP(c_HOL_Otimes__class_Otimes(V_y,T_a),V_x) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_class__semiring_Osemiring__rules_I7_J_0,axiom,
% 0.19/0.75 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)
% 0.19/0.75 | hAPP(c_HOL_Otimes__class_Otimes(V_a,T_a),V_b) = hAPP(c_HOL_Otimes__class_Otimes(V_b,T_a),V_a) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_abs__eq__0_1,axiom,
% 0.19/0.75 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.19/0.75 | hAPP(c_HOL_Oabs__class_Oabs(T_a),c_HOL_Ozero__class_Ozero(T_a)) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_LIM__norm__zero_0,axiom,
% 0.19/0.75 ( ~ class_RealVector_Oreal__normed__vector(T_b)
% 0.19/0.75 | ~ class_RealVector_Ometric__space(T_a)
% 0.19/0.75 | c_Lim_OLIM(c_COMBB(c_RealVector_Onorm__class_Onorm(T_b),V_f,T_b,tc_RealDef_Oreal,T_a),V_a,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),T_a,tc_RealDef_Oreal)
% 0.19/0.75 | ~ c_Lim_OLIM(V_f,V_a,c_HOL_Ozero__class_Ozero(T_b),T_a,T_b) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_LIM__norm__zero__iff_0,axiom,
% 0.19/0.75 ( ~ class_RealVector_Oreal__normed__vector(T_b)
% 0.19/0.75 | ~ class_RealVector_Ometric__space(T_a)
% 0.19/0.75 | c_Lim_OLIM(V_f,V_a,c_HOL_Ozero__class_Ozero(T_b),T_a,T_b)
% 0.19/0.75 | ~ c_Lim_OLIM(c_COMBB(c_RealVector_Onorm__class_Onorm(T_b),V_f,T_b,tc_RealDef_Oreal,T_a),V_a,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),T_a,tc_RealDef_Oreal) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_scaleR__conv__of__real_0,axiom,
% 0.19/0.75 ( ~ class_RealVector_Oreal__algebra__1(T_a)
% 0.19/0.75 | hAPP(c_RealVector_OscaleR__class_OscaleR(V_r,T_a),V_x) = hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_RealVector_Oof__real(T_a),V_r),T_a),V_x) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_neg__0__equal__iff__equal_0,axiom,
% 0.19/0.75 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.19/0.75 | c_HOL_Ozero__class_Ozero(T_a) != hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a)
% 0.19/0.75 | c_HOL_Ozero__class_Ozero(T_a) = V_a ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_Re_Ozero_0,axiom,
% 0.19/0.75 hAPP(c_Complex_ORe,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_Re_Ominus_0,axiom,
% 0.19/0.75 hAPP(c_Complex_ORe,hAPP(c_HOL_Ouminus__class_Ouminus(tc_Complex_Ocomplex),V_x)) = hAPP(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),hAPP(c_Complex_ORe,V_x)) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_mult__right__le__imp__le_0,axiom,
% 0.19/0.75 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.19/0.75 | c_lessequals(V_a,V_b,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_lessequals(hAPP(c_HOL_Otimes__class_Otimes(V_a,T_a),V_c),hAPP(c_HOL_Otimes__class_Otimes(V_b,T_a),V_c),T_a) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_mult__left__le__imp__le_0,axiom,
% 0.19/0.75 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a)
% 0.19/0.75 | c_lessequals(V_a,V_b,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_lessequals(hAPP(c_HOL_Otimes__class_Otimes(V_c,T_a),V_a),hAPP(c_HOL_Otimes__class_Otimes(V_c,T_a),V_b),T_a) ) ).
% 0.19/0.75
% 0.19/0.75 cnf(cls_mult__le__cancel__left__pos_1,axiom,
% 0.19/0.75 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.19/0.75 | c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(V_c,T_a),V_a),hAPP(c_HOL_Otimes__class_Otimes(V_c,T_a),V_b),T_a)
% 0.19/0.75 | ~ c_lessequals(V_a,V_b,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
% 0.19/0.75 cnf(cls_mult__le__cancel__left__pos_0,axiom,
% 0.19/0.75 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.19/0.75 | c_lessequals(V_a,V_b,T_a)
% 0.19/0.75 | ~ c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(V_c,T_a),V_a),hAPP(c_HOL_Otimes__class_Otimes(V_c,T_a),V_b),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
% 0.19/0.75 cnf(cls_mult__le__cancel__left__neg_1,axiom,
% 0.19/0.75 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.19/0.75 | c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(V_c,T_a),V_a),hAPP(c_HOL_Otimes__class_Otimes(V_c,T_a),V_b),T_a)
% 0.19/0.75 | ~ c_lessequals(V_b,V_a,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
% 0.19/0.75 cnf(cls_mult__le__cancel__left__neg_0,axiom,
% 0.19/0.75 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a)
% 0.19/0.75 | c_lessequals(V_b,V_a,T_a)
% 0.19/0.75 | ~ c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(V_c,T_a),V_a),hAPP(c_HOL_Otimes__class_Otimes(V_c,T_a),V_b),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
% 0.19/0.76 cnf(cls_scaleR_Ozero__right_0,axiom,
% 0.19/0.76 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 0.19/0.76 | hAPP(c_RealVector_OscaleR__class_OscaleR(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a)) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_scaleR_Ozero__left_0,axiom,
% 0.19/0.76 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 0.19/0.76 | hAPP(c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),T_a),V_b) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_scaleR__eq__0__iff_2,axiom,
% 0.19/0.76 ( ~ class_RealVector_Oreal__vector(T_a)
% 0.19/0.76 | hAPP(c_RealVector_OscaleR__class_OscaleR(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a)) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_scaleR__eq__0__iff_1,axiom,
% 0.19/0.76 ( ~ class_RealVector_Oreal__vector(T_a)
% 0.19/0.76 | hAPP(c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),T_a),V_x) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_bounded__linear_OisCont_0,axiom,
% 0.19/0.76 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 0.19/0.76 | ~ class_RealVector_Oreal__normed__vector(T_b)
% 0.19/0.76 | c_Lim_OisCont(V_f,V_a,T_a,T_b)
% 0.19/0.76 | ~ c_RealVector_Obounded__linear(V_f,T_a,T_b) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_LIM__o_0,axiom,
% 0.19/0.76 ( ~ class_RealVector_Ometric__space(T_a)
% 0.19/0.76 | ~ class_RealVector_Ometric__space(T_b)
% 0.19/0.76 | ~ class_RealVector_Ometric__space(T_c)
% 0.19/0.76 | c_Lim_OLIM(c_Fun_Ocomp(V_g,V_f,T_a,T_b,T_c),V_a,hAPP(V_g,V_l),T_c,T_b)
% 0.19/0.76 | ~ c_Lim_OLIM(V_f,V_a,V_l,T_c,T_a)
% 0.19/0.76 | ~ c_Lim_OLIM(V_g,V_l,hAPP(V_g,V_l),T_a,T_b) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_abs__of__pos_0,axiom,
% 0.19/0.76 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.19/0.76 | hAPP(c_HOL_Oabs__class_Oabs(T_a),V_a) = V_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_isCont__o_0,axiom,
% 0.19/0.76 ( ~ class_RealVector_Ometric__space(T_a)
% 0.19/0.76 | ~ class_RealVector_Ometric__space(T_c)
% 0.19/0.76 | ~ class_RealVector_Ometric__space(T_b)
% 0.19/0.76 | c_Lim_OisCont(c_Fun_Ocomp(V_g,V_f,T_b,T_c,T_a),V_a,T_a,T_c)
% 0.19/0.76 | ~ c_Lim_OisCont(V_g,hAPP(V_f,V_a),T_b,T_c)
% 0.19/0.76 | ~ c_Lim_OisCont(V_f,V_a,T_a,T_b) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_abs__of__nonpos_0,axiom,
% 0.19/0.76 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.19/0.76 | hAPP(c_HOL_Oabs__class_Oabs(T_a),V_a) = hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_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_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(hAPP(c_HOL_Otimes__class_Otimes(V_c,T_a),V_a),hAPP(c_HOL_Otimes__class_Otimes(V_c,T_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_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(hAPP(c_HOL_Otimes__class_Otimes(V_a,T_a),V_c),hAPP(c_HOL_Otimes__class_Otimes(V_b,T_a),V_c),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(hAPP(c_HOL_Otimes__class_Otimes(V_a,T_a),V_c),hAPP(c_HOL_Otimes__class_Otimes(V_b,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 | ~ 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(hAPP(c_HOL_Otimes__class_Otimes(V_a,T_a),V_c),hAPP(c_HOL_Otimes__class_Otimes(V_b,T_a),V_c),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(hAPP(c_HOL_Otimes__class_Otimes(V_a,T_a),V_c),hAPP(c_HOL_Otimes__class_Otimes(V_b,T_a),V_c),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(hAPP(c_HOL_Otimes__class_Otimes(V_c,T_a),V_a),hAPP(c_HOL_Otimes__class_Otimes(V_c,T_a),V_b),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(hAPP(c_HOL_Otimes__class_Otimes(V_c,T_a),V_a),hAPP(c_HOL_Otimes__class_Otimes(V_c,T_a),V_b),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(hAPP(c_HOL_Otimes__class_Otimes(V_c,T_a),V_a),hAPP(c_HOL_Otimes__class_Otimes(V_c,T_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_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(hAPP(c_HOL_Otimes__class_Otimes(V_c,T_a),V_a),hAPP(c_HOL_Otimes__class_Otimes(V_c,T_a),V_b),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(hAPP(c_HOL_Otimes__class_Otimes(V_c,T_a),V_a),hAPP(c_HOL_Otimes__class_Otimes(V_c,T_a),V_b),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(hAPP(c_HOL_Otimes__class_Otimes(V_c,T_a),V_a),hAPP(c_HOL_Otimes__class_Otimes(V_c,T_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__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(hAPP(c_HOL_Otimes__class_Otimes(V_c,T_a),V_a),hAPP(c_HOL_Otimes__class_Otimes(V_c,T_a),V_b),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(hAPP(c_HOL_Otimes__class_Otimes(V_c,T_a),V_a),hAPP(c_HOL_Otimes__class_Otimes(V_c,T_a),V_b),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_cnj_Ominus_0,axiom,
% 0.19/0.76 hAPP(c_Complex_Ocnj,hAPP(c_HOL_Ouminus__class_Ouminus(tc_Complex_Ocomplex),V_x)) = hAPP(c_HOL_Ouminus__class_Ouminus(tc_Complex_Ocomplex),hAPP(c_Complex_Ocnj,V_x)) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_abs__ge__minus__self_0,axiom,
% 0.19/0.76 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.19/0.76 | c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a),hAPP(c_HOL_Oabs__class_Oabs(T_a),V_a),T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_abs__ge__self_0,axiom,
% 0.19/0.76 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.19/0.76 | c_lessequals(V_a,hAPP(c_HOL_Oabs__class_Oabs(T_a),V_a),T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_abs__less__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,V_b,T_a)
% 0.19/0.76 | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Oabs__class_Oabs(T_a),V_a),V_b,T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_setsum__abs__ge__zero_0,axiom,
% 0.19/0.76 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.19/0.76 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Finite__Set_Osetsum(c_COMBB(c_HOL_Oabs__class_Oabs(T_a),V_f,T_a,T_a,T_b),V_A,T_b,T_a),T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_abs__mult__self_0,axiom,
% 0.19/0.76 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.19/0.76 | hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Oabs__class_Oabs(T_a),V_a),T_a),hAPP(c_HOL_Oabs__class_Oabs(T_a),V_a)) = hAPP(c_HOL_Otimes__class_Otimes(V_a,T_a),V_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_Im_Ozero_0,axiom,
% 0.19/0.76 hAPP(c_Complex_OIm,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ).
% 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 | hAPP(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),T_a),V_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 | hAPP(c_HOL_Otimes__class_Otimes(V_a,T_a),c_HOL_Ozero__class_Ozero(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 | hAPP(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),T_a),V_y) = 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 | hAPP(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),T_a),V_b) = 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 | hAPP(c_HOL_Otimes__class_Otimes(V_a,T_a),c_HOL_Ozero__class_Ozero(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 | hAPP(c_HOL_Otimes__class_Otimes(V_x,T_a),c_HOL_Ozero__class_Ozero(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 | hAPP(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),T_a),V_x) = 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 | hAPP(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),T_a),V_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 | hAPP(c_HOL_Otimes__class_Otimes(V_a,T_a),c_HOL_Ozero__class_Ozero(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 | hAPP(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),T_a),V_b) = c_HOL_Ozero__class_Ozero(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 | hAPP(c_HOL_Otimes__class_Otimes(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a)) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_summable__comparison__test_1,axiom,
% 0.19/0.76 ( ~ class_SEQ_Obanach(T_a)
% 0.19/0.76 | c_Series_Osummable(V_f,T_a)
% 0.19/0.76 | ~ c_Series_Osummable(V_g,tc_RealDef_Oreal)
% 0.19/0.76 | ~ c_lessequals(hAPP(c_RealVector_Onorm__class_Onorm(T_a),hAPP(V_f,c_Series_Osko__Series__Xsummable__comparison__test__1__1(V_f,V_g,V_x,T_a))),hAPP(V_g,c_Series_Osko__Series__Xsummable__comparison__test__1__1(V_f,V_g,V_x,T_a)),tc_RealDef_Oreal) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_abs__mult__pos_0,axiom,
% 0.19/0.76 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.19/0.76 | hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Oabs__class_Oabs(T_a),V_y),T_a),V_x) = hAPP(c_HOL_Oabs__class_Oabs(T_a),hAPP(c_HOL_Otimes__class_Otimes(V_y,T_a),V_x))
% 0.19/0.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_abs__not__less__zero_0,axiom,
% 0.19/0.76 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.19/0.76 | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Oabs__class_Oabs(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_neg__0__equal__iff__equal_1,axiom,
% 0.19/0.76 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.19/0.76 | c_HOL_Ozero__class_Ozero(T_a) = hAPP(c_HOL_Ouminus__class_Ouminus(T_a),c_HOL_Ozero__class_Ozero(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(hAPP(c_HOL_Otimes__class_Otimes(V_a,T_a),V_c),hAPP(c_HOL_Otimes__class_Otimes(V_b,T_a),V_d),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(hAPP(c_HOL_Otimes__class_Otimes(V_a,T_a),V_c),hAPP(c_HOL_Otimes__class_Otimes(V_b,T_a),V_d),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_scaleR__right_OisUCont_0,axiom,
% 0.19/0.76 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 0.19/0.76 | c_Lim_OisUCont(c_RealVector_OscaleR__class_OscaleR(V_r,T_a),T_a,T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_complex__cnj__zero__iff_0,axiom,
% 0.19/0.76 ( hAPP(c_Complex_Ocnj,V_z) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)
% 0.19/0.76 | V_z = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_monoseq__minus_0,axiom,
% 0.19/0.76 ( c_SEQ_Omonoseq(c_COMBB(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),V_a,tc_RealDef_Oreal,tc_RealDef_Oreal,tc_nat))
% 0.19/0.76 | ~ c_SEQ_Omonoseq(V_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_o__assoc_0,axiom,
% 0.19/0.76 c_Fun_Ocomp(V_f,c_Fun_Ocomp(V_g,V_h,T_d,T_c,T_a),T_c,T_b,T_a) = c_Fun_Ocomp(c_Fun_Ocomp(V_f,V_g,T_c,T_b,T_d),V_h,T_d,T_b,T_a) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_minus__mult__commute_0,axiom,
% 0.19/0.76 ( ~ class_Ring__and__Field_Oring(T_a)
% 0.19/0.76 | hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a),T_a),V_b) = hAPP(c_HOL_Otimes__class_Otimes(V_a,T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b)) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_minus__zero_0,axiom,
% 0.19/0.76 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.19/0.76 | hAPP(c_HOL_Ouminus__class_Ouminus(T_a),c_HOL_Ozero__class_Ozero(T_a)) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_neg__equal__zero_1,axiom,
% 0.19/0.76 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a)
% 0.19/0.76 | hAPP(c_HOL_Ouminus__class_Ouminus(T_a),c_HOL_Ozero__class_Ozero(T_a)) = c_HOL_Ozero__class_Ozero(T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_bounded__linear_Ocont_0,axiom,
% 0.19/0.76 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 0.19/0.76 | ~ class_RealVector_Oreal__normed__vector(T_b)
% 0.19/0.76 | c_Lim_OLIM(V_f,V_a,hAPP(V_f,V_a),T_a,T_b)
% 0.19/0.76 | ~ c_RealVector_Obounded__linear(V_f,T_a,T_b) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_abs__if__lattice_1,axiom,
% 0.19/0.76 ( ~ class_Orderings_Olinorder(T_a)
% 0.19/0.76 | ~ class_OrderedGroup_Olordered__ab__group__add__abs(T_a)
% 0.19/0.76 | hAPP(c_HOL_Oabs__class_Oabs(T_a),V_a) = V_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_abs__if_1,axiom,
% 0.19/0.76 ( ~ class_Ring__and__Field_Oabs__if(T_a)
% 0.19/0.76 | hAPP(c_HOL_Oabs__class_Oabs(T_a),V_a) = V_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_Complex__eq__0_1,axiom,
% 0.19/0.76 ( c_Complex_Ocomplex_OComplex(V_a,V_b) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)
% 0.19/0.76 | V_b = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_Complex__eq__0_0,axiom,
% 0.19/0.76 ( c_Complex_Ocomplex_OComplex(V_a,V_b) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)
% 0.19/0.76 | V_a = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_abs__eq__0_0,axiom,
% 0.19/0.76 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.19/0.76 | hAPP(c_HOL_Oabs__class_Oabs(T_a),V_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_zero__less__abs__iff_0,axiom,
% 0.19/0.76 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.19/0.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),hAPP(c_HOL_Oabs__class_Oabs(T_a),c_HOL_Ozero__class_Ozero(T_a)),T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_real__le__trans_0,axiom,
% 0.19/0.76 ( c_lessequals(V_i,V_k,tc_RealDef_Oreal)
% 0.19/0.76 | ~ c_lessequals(V_j,V_k,tc_RealDef_Oreal)
% 0.19/0.76 | ~ c_lessequals(V_i,V_j,tc_RealDef_Oreal) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_real__le__refl_0,axiom,
% 0.19/0.76 c_lessequals(V_w,V_w,tc_RealDef_Oreal) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_scaleR__cancel__left_1,axiom,
% 0.19/0.76 ( ~ class_RealVector_Oreal__vector(T_a)
% 0.19/0.76 | hAPP(c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),T_a),V_x) = hAPP(c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),T_a),V_y) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_scaleR__cancel__right_1,axiom,
% 0.19/0.76 ( ~ class_RealVector_Oreal__vector(T_a)
% 0.19/0.76 | hAPP(c_RealVector_OscaleR__class_OscaleR(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a)) = hAPP(c_RealVector_OscaleR__class_OscaleR(V_b,T_a),c_HOL_Ozero__class_Ozero(T_a)) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_scaleR__cancel__left_0,axiom,
% 0.19/0.76 ( ~ class_RealVector_Oreal__vector(T_a)
% 0.19/0.76 | hAPP(c_RealVector_OscaleR__class_OscaleR(V_a,T_a),V_x) != hAPP(c_RealVector_OscaleR__class_OscaleR(V_a,T_a),V_y)
% 0.19/0.76 | V_a = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 0.19/0.76 | V_x = V_y ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_scaleR__cancel__right_0,axiom,
% 0.19/0.76 ( ~ class_RealVector_Oreal__vector(T_a)
% 0.19/0.76 | hAPP(c_RealVector_OscaleR__class_OscaleR(V_a,T_a),V_x) != hAPP(c_RealVector_OscaleR__class_OscaleR(V_b,T_a),V_x)
% 0.19/0.76 | V_x = c_HOL_Ozero__class_Ozero(T_a)
% 0.19/0.76 | V_a = V_b ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_mult__less__cancel__left__disj_1,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_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.19/0.76 | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(V_c,T_a),V_a),hAPP(c_HOL_Otimes__class_Otimes(V_c,T_a),V_b),T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_mult__less__cancel__left__disj_2,axiom,
% 0.19/0.76 ( ~ class_Ring__and__Field_Oordered__ring__strict(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_a,V_b,T_a)
% 0.19/0.76 | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(V_c,T_a),V_a),hAPP(c_HOL_Otimes__class_Otimes(V_c,T_a),V_b),T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_mult__less__cancel__right__disj_1,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_Ozero__class_Ozero(T_a),V_c,T_a)
% 0.19/0.76 | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(V_a,T_a),V_c),hAPP(c_HOL_Otimes__class_Otimes(V_b,T_a),V_c),T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_mult__less__cancel__right__disj_2,axiom,
% 0.19/0.76 ( ~ class_Ring__and__Field_Oordered__ring__strict(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_a,V_b,T_a)
% 0.19/0.76 | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(V_a,T_a),V_c),hAPP(c_HOL_Otimes__class_Otimes(V_b,T_a),V_c),T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_neg__0__less__iff__less_0,axiom,
% 0.19/0.76 ( ~ class_OrderedGroup_Opordered__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_Ozero__class_Ozero(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a),T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_neg__0__less__iff__less_1,axiom,
% 0.19/0.76 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.19/0.76 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_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_less__minus__self__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(V_a,hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a),T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_less__minus__self__iff_1,axiom,
% 0.19/0.76 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.19/0.76 | c_HOL_Oord__class_Oless(V_a,hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_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_abs__ge__zero_0,axiom,
% 0.19/0.76 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.19/0.76 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),hAPP(c_HOL_Oabs__class_Oabs(T_a),V_a),T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_scaleR_Obounded__linear__right_0,axiom,
% 0.19/0.76 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 0.19/0.76 | c_RealVector_Obounded__linear(c_RealVector_OscaleR__class_OscaleR(V_a,T_a),T_a,T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_real__le__linear_0,axiom,
% 0.19/0.76 ( c_lessequals(V_w,V_z,tc_RealDef_Oreal)
% 0.19/0.76 | c_lessequals(V_z,V_w,tc_RealDef_Oreal) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_norm__setsum_0,axiom,
% 0.19/0.76 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 0.19/0.76 | c_lessequals(hAPP(c_RealVector_Onorm__class_Onorm(T_a),c_Finite__Set_Osetsum(V_f,V_A,T_b,T_a)),c_Finite__Set_Osetsum(c_COMBB(c_RealVector_Onorm__class_Onorm(T_a),V_f,T_a,tc_RealDef_Oreal,T_b),V_A,T_b,tc_RealDef_Oreal),tc_RealDef_Oreal) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_scaleR__right_Osetsum_0,axiom,
% 0.19/0.76 ( ~ class_RealVector_Oreal__vector(T_a)
% 0.19/0.76 | hAPP(c_RealVector_OscaleR__class_OscaleR(V_a,T_a),c_Finite__Set_Osetsum(V_g,V_A,T_b,T_a)) = c_Finite__Set_Osetsum(c_COMBB(c_RealVector_OscaleR__class_OscaleR(V_a,T_a),V_g,T_a,T_a,T_b),V_A,T_b,T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_abs__setsum__abs_0,axiom,
% 0.19/0.76 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.19/0.76 | hAPP(c_HOL_Oabs__class_Oabs(T_a),c_Finite__Set_Osetsum(c_COMBB(c_HOL_Oabs__class_Oabs(T_a),V_f,T_a,T_a,T_b),V_A,T_b,T_a)) = c_Finite__Set_Osetsum(c_COMBB(c_HOL_Oabs__class_Oabs(T_a),V_f,T_a,T_a,T_b),V_A,T_b,T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_mult__right_Osetsum_0,axiom,
% 0.19/0.76 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 0.19/0.76 | hAPP(c_HOL_Otimes__class_Otimes(V_x,T_a),c_Finite__Set_Osetsum(V_g,V_A,T_b,T_a)) = c_Finite__Set_Osetsum(c_COMBB(c_HOL_Otimes__class_Otimes(V_x,T_a),V_g,T_a,T_a,T_b),V_A,T_b,T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_setsum__right__distrib_0,axiom,
% 0.19/0.76 ( ~ class_Ring__and__Field_Osemiring__0(T_a)
% 0.19/0.76 | hAPP(c_HOL_Otimes__class_Otimes(V_r,T_a),c_Finite__Set_Osetsum(V_f,V_A,T_b,T_a)) = c_Finite__Set_Osetsum(c_COMBB(c_HOL_Otimes__class_Otimes(V_r,T_a),V_f,T_a,T_a,T_b),V_A,T_b,T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_bounded__linear_OLIM_0,axiom,
% 0.19/0.76 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 0.19/0.76 | ~ class_RealVector_Oreal__normed__vector(T_b)
% 0.19/0.76 | ~ class_RealVector_Ometric__space(T_c)
% 0.19/0.76 | c_Lim_OLIM(c_COMBB(V_f,V_g,T_a,T_b,T_c),V_a,hAPP(V_f,V_l),T_c,T_b)
% 0.19/0.76 | ~ c_Lim_OLIM(V_g,V_a,V_l,T_c,T_a)
% 0.19/0.76 | ~ c_RealVector_Obounded__linear(V_f,T_a,T_b) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_mult__right_OLIM_0,axiom,
% 0.19/0.76 ( ~ class_RealVector_Oreal__normed__algebra(T_b)
% 0.19/0.76 | ~ class_RealVector_Ometric__space(T_a)
% 0.19/0.76 | c_Lim_OLIM(c_COMBB(c_HOL_Otimes__class_Otimes(V_x,T_b),V_g,T_b,T_b,T_a),V_a,hAPP(c_HOL_Otimes__class_Otimes(V_x,T_b),V_l),T_a,T_b)
% 0.19/0.76 | ~ c_Lim_OLIM(V_g,V_a,V_l,T_a,T_b) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_scaleR__right_OLIM_0,axiom,
% 0.19/0.76 ( ~ class_RealVector_Oreal__normed__vector(T_b)
% 0.19/0.76 | ~ class_RealVector_Ometric__space(T_a)
% 0.19/0.76 | c_Lim_OLIM(c_COMBB(c_RealVector_OscaleR__class_OscaleR(V_r,T_b),V_g,T_b,T_b,T_a),V_a,hAPP(c_RealVector_OscaleR__class_OscaleR(V_r,T_b),V_l),T_a,T_b)
% 0.19/0.76 | ~ c_Lim_OLIM(V_g,V_a,V_l,T_a,T_b) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_scaleR__right_OLIMSEQ_0,axiom,
% 0.19/0.76 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 0.19/0.76 | c_SEQ_OLIMSEQ(c_COMBB(c_RealVector_OscaleR__class_OscaleR(V_r,T_a),V_X,T_a,T_a,tc_nat),hAPP(c_RealVector_OscaleR__class_OscaleR(V_r,T_a),V_a),T_a)
% 0.19/0.76 | ~ c_SEQ_OLIMSEQ(V_X,V_a,T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_mult__right_OLIMSEQ_0,axiom,
% 0.19/0.76 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 0.19/0.76 | c_SEQ_OLIMSEQ(c_COMBB(c_HOL_Otimes__class_Otimes(V_x,T_a),V_X,T_a,T_a,tc_nat),hAPP(c_HOL_Otimes__class_Otimes(V_x,T_a),V_a),T_a)
% 0.19/0.76 | ~ c_SEQ_OLIMSEQ(V_X,V_a,T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_bounded__linear_OLIMSEQ_0,axiom,
% 0.19/0.76 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 0.19/0.76 | ~ class_RealVector_Oreal__normed__vector(T_b)
% 0.19/0.76 | c_SEQ_OLIMSEQ(c_COMBB(V_f,V_X,T_a,T_b,tc_nat),hAPP(V_f,V_a),T_b)
% 0.19/0.76 | ~ c_SEQ_OLIMSEQ(V_X,V_a,T_a)
% 0.19/0.76 | ~ c_RealVector_Obounded__linear(V_f,T_a,T_b) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_bounded__linear_Osummable_0,axiom,
% 0.19/0.76 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 0.19/0.76 | ~ class_RealVector_Oreal__normed__vector(T_b)
% 0.19/0.76 | c_Series_Osummable(c_COMBB(V_f,V_X,T_a,T_b,tc_nat),T_b)
% 0.19/0.76 | ~ c_Series_Osummable(V_X,T_a)
% 0.19/0.76 | ~ c_RealVector_Obounded__linear(V_f,T_a,T_b) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_scaleR__right_Osummable_0,axiom,
% 0.19/0.76 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 0.19/0.76 | c_Series_Osummable(c_COMBB(c_RealVector_OscaleR__class_OscaleR(V_r,T_a),V_X,T_a,T_a,tc_nat),T_a)
% 0.19/0.76 | ~ c_Series_Osummable(V_X,T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_summable__mult_0,axiom,
% 0.19/0.76 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 0.19/0.76 | c_Series_Osummable(c_COMBB(c_HOL_Otimes__class_Otimes(V_c,T_a),V_f,T_a,T_a,tc_nat),T_a)
% 0.19/0.76 | ~ c_Series_Osummable(V_f,T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_mult__right_Osummable_0,axiom,
% 0.19/0.76 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 0.19/0.76 | c_Series_Osummable(c_COMBB(c_HOL_Otimes__class_Otimes(V_x,T_a),V_X,T_a,T_a,tc_nat),T_a)
% 0.19/0.76 | ~ c_Series_Osummable(V_X,T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_bounded__linear_OZfun_0,axiom,
% 0.19/0.76 ( ~ class_RealVector_Oreal__normed__vector(T_b)
% 0.19/0.76 | ~ class_RealVector_Oreal__normed__vector(T_a)
% 0.19/0.76 | c_Limits_OZfun(c_COMBB(V_f,V_g,T_a,T_b,T_c),V_net,T_c,T_b)
% 0.19/0.76 | ~ c_Limits_OZfun(V_g,V_net,T_c,T_a)
% 0.19/0.76 | ~ c_RealVector_Obounded__linear(V_f,T_a,T_b) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_mult__right_OZfun_0,axiom,
% 0.19/0.76 ( ~ class_RealVector_Oreal__normed__algebra(T_b)
% 0.19/0.76 | c_Limits_OZfun(c_COMBB(c_HOL_Otimes__class_Otimes(V_x,T_b),V_g,T_b,T_b,T_a),V_net,T_a,T_b)
% 0.19/0.76 | ~ c_Limits_OZfun(V_g,V_net,T_a,T_b) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_Zfun__mult__right_0,axiom,
% 0.19/0.76 ( ~ class_RealVector_Oreal__normed__algebra(T_b)
% 0.19/0.76 | c_Limits_OZfun(c_COMBB(c_HOL_Otimes__class_Otimes(V_a,T_b),V_f,T_b,T_b,T_a),V_net,T_a,T_b)
% 0.19/0.76 | ~ c_Limits_OZfun(V_f,V_net,T_a,T_b) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_scaleR__right_OZfun_0,axiom,
% 0.19/0.76 ( ~ class_RealVector_Oreal__normed__vector(T_b)
% 0.19/0.76 | c_Limits_OZfun(c_COMBB(c_RealVector_OscaleR__class_OscaleR(V_r,T_b),V_g,T_b,T_b,T_a),V_net,T_a,T_b)
% 0.19/0.76 | ~ c_Limits_OZfun(V_g,V_net,T_a,T_b) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_scaleR_OZfun__right_0,axiom,
% 0.19/0.76 ( ~ class_RealVector_Oreal__normed__vector(T_b)
% 0.19/0.76 | c_Limits_OZfun(c_COMBB(c_RealVector_OscaleR__class_OscaleR(V_a,T_b),V_f,T_b,T_b,T_a),V_net,T_a,T_b)
% 0.19/0.76 | ~ c_Limits_OZfun(V_f,V_net,T_a,T_b) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_bounded__linear_Otendsto_0,axiom,
% 0.19/0.76 ( ~ class_RealVector_Oreal__normed__vector(T_b)
% 0.19/0.76 | ~ class_RealVector_Oreal__normed__vector(T_a)
% 0.19/0.76 | c_Limits_Otendsto(c_COMBB(V_f,V_g,T_a,T_b,T_c),hAPP(V_f,V_a),V_net,T_c,T_b)
% 0.19/0.76 | ~ c_Limits_Otendsto(V_g,V_a,V_net,T_c,T_a)
% 0.19/0.76 | ~ c_RealVector_Obounded__linear(V_f,T_a,T_b) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_mult__right_Otendsto_0,axiom,
% 0.19/0.76 ( ~ class_RealVector_Oreal__normed__algebra(T_b)
% 0.19/0.76 | c_Limits_Otendsto(c_COMBB(c_HOL_Otimes__class_Otimes(V_x,T_b),V_g,T_b,T_b,T_a),hAPP(c_HOL_Otimes__class_Otimes(V_x,T_b),V_a),V_net,T_a,T_b)
% 0.19/0.76 | ~ c_Limits_Otendsto(V_g,V_a,V_net,T_a,T_b) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_scaleR__right_Otendsto_0,axiom,
% 0.19/0.76 ( ~ class_RealVector_Oreal__normed__vector(T_b)
% 0.19/0.76 | c_Limits_Otendsto(c_COMBB(c_RealVector_OscaleR__class_OscaleR(V_r,T_b),V_g,T_b,T_b,T_a),hAPP(c_RealVector_OscaleR__class_OscaleR(V_r,T_b),V_a),V_net,T_a,T_b)
% 0.19/0.76 | ~ c_Limits_Otendsto(V_g,V_a,V_net,T_a,T_b) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_bounded__linear_OZseq_0,axiom,
% 0.19/0.76 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 0.19/0.76 | ~ class_RealVector_Oreal__normed__vector(T_b)
% 0.19/0.76 | c_SEQ_OZseq(c_COMBB(V_f,V_X,T_a,T_b,tc_nat),T_b)
% 0.19/0.76 | ~ c_SEQ_OZseq(V_X,T_a)
% 0.19/0.76 | ~ c_RealVector_Obounded__linear(V_f,T_a,T_b) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_mult__right_OZseq_0,axiom,
% 0.19/0.76 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 0.19/0.76 | c_SEQ_OZseq(c_COMBB(c_HOL_Otimes__class_Otimes(V_x,T_a),V_X,T_a,T_a,tc_nat),T_a)
% 0.19/0.76 | ~ c_SEQ_OZseq(V_X,T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_Zseq__mult__right_0,axiom,
% 0.19/0.76 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 0.19/0.76 | c_SEQ_OZseq(c_COMBB(c_HOL_Otimes__class_Otimes(V_a,T_a),V_X,T_a,T_a,tc_nat),T_a)
% 0.19/0.76 | ~ c_SEQ_OZseq(V_X,T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_scaleR__right_OZseq_0,axiom,
% 0.19/0.76 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 0.19/0.76 | c_SEQ_OZseq(c_COMBB(c_RealVector_OscaleR__class_OscaleR(V_r,T_a),V_X,T_a,T_a,tc_nat),T_a)
% 0.19/0.76 | ~ c_SEQ_OZseq(V_X,T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_scaleR_OZseq__right_0,axiom,
% 0.19/0.76 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 0.19/0.76 | c_SEQ_OZseq(c_COMBB(c_RealVector_OscaleR__class_OscaleR(V_a,T_a),V_X,T_a,T_a,tc_nat),T_a)
% 0.19/0.76 | ~ c_SEQ_OZseq(V_X,T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_scaleR__right_Osums_0,axiom,
% 0.19/0.76 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 0.19/0.76 | c_Series_Osums(c_COMBB(c_RealVector_OscaleR__class_OscaleR(V_r,T_a),V_X,T_a,T_a,tc_nat),hAPP(c_RealVector_OscaleR__class_OscaleR(V_r,T_a),V_a),T_a)
% 0.19/0.76 | ~ c_Series_Osums(V_X,V_a,T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_mult__right_Osums_0,axiom,
% 0.19/0.76 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 0.19/0.76 | c_Series_Osums(c_COMBB(c_HOL_Otimes__class_Otimes(V_x,T_a),V_X,T_a,T_a,tc_nat),hAPP(c_HOL_Otimes__class_Otimes(V_x,T_a),V_a),T_a)
% 0.19/0.76 | ~ c_Series_Osums(V_X,V_a,T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_sums__mult_0,axiom,
% 0.19/0.76 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 0.19/0.76 | c_Series_Osums(c_COMBB(c_HOL_Otimes__class_Otimes(V_c,T_a),V_f,T_a,T_a,tc_nat),hAPP(c_HOL_Otimes__class_Otimes(V_c,T_a),V_a),T_a)
% 0.19/0.76 | ~ c_Series_Osums(V_f,V_a,T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_bounded__linear_Osums_0,axiom,
% 0.19/0.76 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 0.19/0.76 | ~ class_RealVector_Oreal__normed__vector(T_b)
% 0.19/0.76 | c_Series_Osums(c_COMBB(V_f,V_X,T_a,T_b,tc_nat),hAPP(V_f,V_a),T_b)
% 0.19/0.76 | ~ c_Series_Osums(V_X,V_a,T_a)
% 0.19/0.76 | ~ c_RealVector_Obounded__linear(V_f,T_a,T_b) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_summable__LIMSEQ__zero_0,axiom,
% 0.19/0.76 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 0.19/0.76 | c_SEQ_OLIMSEQ(V_f,c_HOL_Ozero__class_Ozero(T_a),T_a)
% 0.19/0.76 | ~ c_Series_Osummable(V_f,T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_mult__right_OCauchy_0,axiom,
% 0.19/0.76 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 0.19/0.76 | c_SEQ_OCauchy(c_COMBB(c_HOL_Otimes__class_Otimes(V_x,T_a),V_X,T_a,T_a,tc_nat),T_a)
% 0.19/0.76 | ~ c_SEQ_OCauchy(V_X,T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_bounded__linear_OCauchy_0,axiom,
% 0.19/0.76 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 0.19/0.76 | ~ class_RealVector_Oreal__normed__vector(T_b)
% 0.19/0.76 | c_SEQ_OCauchy(c_COMBB(V_f,V_X,T_a,T_b,tc_nat),T_b)
% 0.19/0.76 | ~ c_SEQ_OCauchy(V_X,T_a)
% 0.19/0.76 | ~ c_RealVector_Obounded__linear(V_f,T_a,T_b) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_scaleR__right_OCauchy_0,axiom,
% 0.19/0.76 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 0.19/0.76 | c_SEQ_OCauchy(c_COMBB(c_RealVector_OscaleR__class_OscaleR(V_r,T_a),V_X,T_a,T_a,tc_nat),T_a)
% 0.19/0.76 | ~ c_SEQ_OCauchy(V_X,T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_monoseq__def_0,axiom,
% 0.19/0.76 ( c_lessequals(hAPP(V_X,V_na),hAPP(V_X,V_ma),tc_RealDef_Oreal)
% 0.19/0.76 | ~ c_lessequals(V_ma,V_na,tc_nat)
% 0.19/0.76 | c_lessequals(hAPP(V_X,V_m),hAPP(V_X,V_n),tc_RealDef_Oreal)
% 0.19/0.76 | ~ c_lessequals(V_m,V_n,tc_nat)
% 0.19/0.76 | ~ c_SEQ_Omonoseq(V_X) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_summable__norm_0,axiom,
% 0.19/0.76 ( ~ class_SEQ_Obanach(T_a)
% 0.19/0.76 | c_lessequals(hAPP(c_RealVector_Onorm__class_Onorm(T_a),c_Series_Osuminf(V_f,T_a)),c_Series_Osuminf(c_COMBB(c_RealVector_Onorm__class_Onorm(T_a),V_f,T_a,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal)
% 0.19/0.76 | ~ c_Series_Osummable(c_COMBB(c_RealVector_Onorm__class_Onorm(T_a),V_f,T_a,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_Im__complex__of__real_0,axiom,
% 0.19/0.76 hAPP(c_Complex_OIm,hAPP(c_RealVector_Oof__real(tc_Complex_Ocomplex),V_z)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_complex__of__real__def_0,axiom,
% 0.19/0.76 hAPP(c_RealVector_Oof__real(tc_Complex_Ocomplex),V_r) = c_Complex_Ocomplex_OComplex(V_r,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_complex__eq__cancel__iff2_1,axiom,
% 0.19/0.76 ( c_Complex_Ocomplex_OComplex(V_x,V_y) != hAPP(c_RealVector_Oof__real(tc_Complex_Ocomplex),V_xa)
% 0.19/0.76 | V_y = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_complex__eq__cancel__iff2_2,axiom,
% 0.19/0.76 c_Complex_Ocomplex_OComplex(V_x,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = hAPP(c_RealVector_Oof__real(tc_Complex_Ocomplex),V_x) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_monoseq__le_0,axiom,
% 0.19/0.76 ( c_lessequals(V_x,hAPP(V_a,V_nc),tc_RealDef_Oreal)
% 0.19/0.76 | c_lessequals(hAPP(V_a,V_na),V_x,tc_RealDef_Oreal)
% 0.19/0.76 | ~ c_SEQ_OLIMSEQ(V_a,V_x,tc_RealDef_Oreal)
% 0.19/0.76 | ~ c_SEQ_Omonoseq(V_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_LIMSEQ__subseq__LIMSEQ_0,axiom,
% 0.19/0.76 ( ~ class_RealVector_Ometric__space(T_a)
% 0.19/0.76 | c_SEQ_OLIMSEQ(c_Fun_Ocomp(V_X,V_f,tc_nat,T_a,tc_nat),V_L,T_a)
% 0.19/0.76 | ~ c_SEQ_Osubseq(V_f)
% 0.19/0.76 | ~ c_SEQ_OLIMSEQ(V_X,V_L,T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_incseq__def_0,axiom,
% 0.19/0.76 ( c_lessequals(hAPP(V_X,V_m),hAPP(V_X,V_n),tc_RealDef_Oreal)
% 0.19/0.76 | ~ c_lessequals(V_m,V_n,tc_nat)
% 0.19/0.76 | ~ c_SEQ_Oincseq(V_X) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_decseq__def_0,axiom,
% 0.19/0.76 ( c_lessequals(hAPP(V_X,V_n),hAPP(V_X,V_m),tc_RealDef_Oreal)
% 0.19/0.76 | ~ c_lessequals(V_m,V_n,tc_nat)
% 0.19/0.76 | ~ c_SEQ_Odecseq(V_X) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_of__real_Otendsto_0,axiom,
% 0.19/0.76 ( ~ class_RealVector_Oreal__normed__vector(T_b)
% 0.19/0.76 | ~ class_RealVector_Oreal__algebra__1(T_b)
% 0.19/0.76 | c_Limits_Otendsto(c_COMBB(c_RealVector_Oof__real(T_b),V_g,tc_RealDef_Oreal,T_b,T_a),hAPP(c_RealVector_Oof__real(T_b),V_a),V_net,T_a,T_b)
% 0.19/0.76 | ~ c_Limits_Otendsto(V_g,V_a,V_net,T_a,tc_RealDef_Oreal) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_tendsto__norm_0,axiom,
% 0.19/0.76 ( ~ class_RealVector_Oreal__normed__vector(T_b)
% 0.19/0.76 | c_Limits_Otendsto(c_COMBB(c_RealVector_Onorm__class_Onorm(T_b),V_f,T_b,tc_RealDef_Oreal,T_a),hAPP(c_RealVector_Onorm__class_Onorm(T_b),V_a),V_net,T_a,tc_RealDef_Oreal)
% 0.19/0.76 | ~ c_Limits_Otendsto(V_f,V_a,V_net,T_a,T_b) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_of__real_OZfun_0,axiom,
% 0.19/0.76 ( ~ class_RealVector_Oreal__normed__vector(T_b)
% 0.19/0.76 | ~ class_RealVector_Oreal__algebra__1(T_b)
% 0.19/0.76 | c_Limits_OZfun(c_COMBB(c_RealVector_Oof__real(T_b),V_g,tc_RealDef_Oreal,T_b,T_a),V_net,T_a,T_b)
% 0.19/0.76 | ~ c_Limits_OZfun(V_g,V_net,T_a,tc_RealDef_Oreal) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_of__real_OZseq_0,axiom,
% 0.19/0.76 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 0.19/0.76 | ~ class_RealVector_Oreal__algebra__1(T_a)
% 0.19/0.76 | c_SEQ_OZseq(c_COMBB(c_RealVector_Oof__real(T_a),V_X,tc_RealDef_Oreal,T_a,tc_nat),T_a)
% 0.19/0.76 | ~ c_SEQ_OZseq(V_X,tc_RealDef_Oreal) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_Zseq__norm__iff_0,axiom,
% 0.19/0.76 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 0.19/0.76 | c_SEQ_OZseq(V_X,T_a)
% 0.19/0.76 | ~ c_SEQ_OZseq(c_COMBB(c_RealVector_Onorm__class_Onorm(T_a),V_X,T_a,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_Zseq__norm__iff_1,axiom,
% 0.19/0.76 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 0.19/0.76 | c_SEQ_OZseq(c_COMBB(c_RealVector_Onorm__class_Onorm(T_a),V_X,T_a,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)
% 0.19/0.76 | ~ c_SEQ_OZseq(V_X,T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_Zfun__norm__iff_0,axiom,
% 0.19/0.76 ( ~ class_RealVector_Oreal__normed__vector(T_b)
% 0.19/0.76 | c_Limits_OZfun(V_f,V_net,T_a,T_b)
% 0.19/0.76 | ~ c_Limits_OZfun(c_COMBB(c_RealVector_Onorm__class_Onorm(T_b),V_f,T_b,tc_RealDef_Oreal,T_a),V_net,T_a,tc_RealDef_Oreal) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_Zfun__norm__iff_1,axiom,
% 0.19/0.76 ( ~ class_RealVector_Oreal__normed__vector(T_b)
% 0.19/0.76 | c_Limits_OZfun(c_COMBB(c_RealVector_Onorm__class_Onorm(T_b),V_f,T_b,tc_RealDef_Oreal,T_a),V_net,T_a,tc_RealDef_Oreal)
% 0.19/0.76 | ~ c_Limits_OZfun(V_f,V_net,T_a,T_b) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_of__real_Osums_0,axiom,
% 0.19/0.76 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 0.19/0.76 | ~ class_RealVector_Oreal__algebra__1(T_a)
% 0.19/0.76 | c_Series_Osums(c_COMBB(c_RealVector_Oof__real(T_a),V_X,tc_RealDef_Oreal,T_a,tc_nat),hAPP(c_RealVector_Oof__real(T_a),V_a),T_a)
% 0.19/0.76 | ~ c_Series_Osums(V_X,V_a,tc_RealDef_Oreal) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_seq__monosub_1,axiom,
% 0.19/0.76 c_SEQ_Omonoseq(c_COMBB(V_s,c_SEQ_Osko__SEQ__Xseq__monosub__1__1(V_s),tc_nat,tc_RealDef_Oreal,tc_nat)) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_monoseq__le_3,axiom,
% 0.19/0.76 ( c_lessequals(hAPP(V_a,V_nd),hAPP(V_a,V_mb),tc_RealDef_Oreal)
% 0.19/0.76 | ~ c_lessequals(V_mb,V_nd,tc_nat)
% 0.19/0.76 | c_lessequals(hAPP(V_a,V_m),hAPP(V_a,V_n),tc_RealDef_Oreal)
% 0.19/0.76 | ~ c_lessequals(V_m,V_n,tc_nat)
% 0.19/0.76 | ~ c_SEQ_OLIMSEQ(V_a,V_x,tc_RealDef_Oreal)
% 0.19/0.76 | ~ c_SEQ_Omonoseq(V_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_monoseq__le_1,axiom,
% 0.19/0.76 ( c_lessequals(hAPP(V_a,V_nb),hAPP(V_a,V_ma),tc_RealDef_Oreal)
% 0.19/0.76 | ~ c_lessequals(V_ma,V_nb,tc_nat)
% 0.19/0.76 | c_lessequals(hAPP(V_a,V_na),V_x,tc_RealDef_Oreal)
% 0.19/0.76 | ~ c_SEQ_OLIMSEQ(V_a,V_x,tc_RealDef_Oreal)
% 0.19/0.76 | ~ c_SEQ_Omonoseq(V_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_monoseq__le_2,axiom,
% 0.19/0.76 ( c_lessequals(V_x,hAPP(V_a,V_ne),tc_RealDef_Oreal)
% 0.19/0.76 | c_lessequals(hAPP(V_a,V_m),hAPP(V_a,V_n),tc_RealDef_Oreal)
% 0.19/0.76 | ~ c_lessequals(V_m,V_n,tc_nat)
% 0.19/0.76 | ~ c_SEQ_OLIMSEQ(V_a,V_x,tc_RealDef_Oreal)
% 0.19/0.76 | ~ c_SEQ_Omonoseq(V_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_of__real_Osummable_0,axiom,
% 0.19/0.76 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 0.19/0.76 | ~ class_RealVector_Oreal__algebra__1(T_a)
% 0.19/0.76 | c_Series_Osummable(c_COMBB(c_RealVector_Oof__real(T_a),V_X,tc_RealDef_Oreal,T_a,tc_nat),T_a)
% 0.19/0.76 | ~ c_Series_Osummable(V_X,tc_RealDef_Oreal) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_LIM__of__real_0,axiom,
% 0.19/0.76 ( ~ class_RealVector_Oreal__normed__vector(T_b)
% 0.19/0.76 | ~ class_RealVector_Oreal__algebra__1(T_b)
% 0.19/0.76 | ~ class_RealVector_Ometric__space(T_a)
% 0.19/0.76 | c_Lim_OLIM(c_COMBB(c_RealVector_Oof__real(T_b),V_g,tc_RealDef_Oreal,T_b,T_a),V_a,hAPP(c_RealVector_Oof__real(T_b),V_l),T_a,T_b)
% 0.19/0.76 | ~ c_Lim_OLIM(V_g,V_a,V_l,T_a,tc_RealDef_Oreal) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_summable__norm__cancel_0,axiom,
% 0.19/0.76 ( ~ class_SEQ_Obanach(T_a)
% 0.19/0.76 | c_Series_Osummable(V_f,T_a)
% 0.19/0.76 | ~ c_Series_Osummable(c_COMBB(c_RealVector_Onorm__class_Onorm(T_a),V_f,T_a,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_LIM__norm_0,axiom,
% 0.19/0.76 ( ~ class_RealVector_Oreal__normed__vector(T_b)
% 0.19/0.76 | ~ class_RealVector_Ometric__space(T_a)
% 0.19/0.76 | c_Lim_OLIM(c_COMBB(c_RealVector_Onorm__class_Onorm(T_b),V_f,T_b,tc_RealDef_Oreal,T_a),V_a,hAPP(c_RealVector_Onorm__class_Onorm(T_b),V_l),T_a,tc_RealDef_Oreal)
% 0.19/0.76 | ~ c_Lim_OLIM(V_f,V_a,V_l,T_a,T_b) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_of__real_OLIMSEQ_0,axiom,
% 0.19/0.76 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 0.19/0.76 | ~ class_RealVector_Oreal__algebra__1(T_a)
% 0.19/0.76 | c_SEQ_OLIMSEQ(c_COMBB(c_RealVector_Oof__real(T_a),V_X,tc_RealDef_Oreal,T_a,tc_nat),hAPP(c_RealVector_Oof__real(T_a),V_a),T_a)
% 0.19/0.76 | ~ c_SEQ_OLIMSEQ(V_X,V_a,tc_RealDef_Oreal) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_of__real_Osetsum_0,axiom,
% 0.19/0.76 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 0.19/0.76 | ~ class_RealVector_Oreal__algebra__1(T_a)
% 0.19/0.76 | hAPP(c_RealVector_Oof__real(T_a),c_Finite__Set_Osetsum(V_g,V_A,T_b,tc_RealDef_Oreal)) = c_Finite__Set_Osetsum(c_COMBB(c_RealVector_Oof__real(T_a),V_g,tc_RealDef_Oreal,T_a,T_b),V_A,T_b,T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_LIMSEQ__norm_0,axiom,
% 0.19/0.76 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 0.19/0.76 | c_SEQ_OLIMSEQ(c_COMBB(c_RealVector_Onorm__class_Onorm(T_a),V_X,T_a,tc_RealDef_Oreal,tc_nat),hAPP(c_RealVector_Onorm__class_Onorm(T_a),V_a),tc_RealDef_Oreal)
% 0.19/0.76 | ~ c_SEQ_OLIMSEQ(V_X,V_a,T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_summable__comparison__test_0,axiom,
% 0.19/0.76 ( ~ class_SEQ_Obanach(T_a)
% 0.19/0.76 | c_Series_Osummable(V_f,T_a)
% 0.19/0.76 | ~ c_Series_Osummable(V_g,tc_RealDef_Oreal)
% 0.19/0.76 | c_lessequals(V_x,c_Series_Osko__Series__Xsummable__comparison__test__1__1(V_f,V_g,V_x,T_a),tc_nat) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_isCont__of__real_0,axiom,
% 0.19/0.76 ( ~ class_RealVector_Ometric__space(T_a)
% 0.19/0.76 | ~ class_RealVector_Oreal__normed__algebra__1(T_b)
% 0.19/0.76 | c_Lim_OisCont(c_COMBB(c_RealVector_Oof__real(T_b),V_f,tc_RealDef_Oreal,T_b,T_a),V_a,T_a,T_b)
% 0.19/0.76 | ~ c_Lim_OisCont(V_f,V_a,T_a,tc_RealDef_Oreal) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_isCont__norm_0,axiom,
% 0.19/0.76 ( ~ class_RealVector_Ometric__space(T_a)
% 0.19/0.76 | ~ class_RealVector_Oreal__normed__vector(T_b)
% 0.19/0.76 | c_Lim_OisCont(c_COMBB(c_RealVector_Onorm__class_Onorm(T_b),V_f,T_b,tc_RealDef_Oreal,T_a),V_a,T_a,tc_RealDef_Oreal)
% 0.19/0.76 | ~ c_Lim_OisCont(V_f,V_a,T_a,T_b) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_bounded__linear_Osuminf_0,axiom,
% 0.19/0.76 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 0.19/0.76 | ~ class_RealVector_Oreal__normed__vector(T_b)
% 0.19/0.76 | hAPP(V_f,c_Series_Osuminf(V_X,T_a)) = c_Series_Osuminf(c_COMBB(V_f,V_X,T_a,T_b,tc_nat),T_b)
% 0.19/0.76 | ~ c_Series_Osummable(V_X,T_a)
% 0.19/0.76 | ~ c_RealVector_Obounded__linear(V_f,T_a,T_b) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_suminf__minus_0,axiom,
% 0.19/0.76 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 0.19/0.76 | c_Series_Osuminf(c_COMBB(c_HOL_Ouminus__class_Ouminus(T_a),V_X,T_a,T_a,tc_nat),T_a) = hAPP(c_HOL_Ouminus__class_Ouminus(T_a),c_Series_Osuminf(V_X,T_a))
% 0.19/0.76 | ~ c_Series_Osummable(V_X,T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_suminf__mult_0,axiom,
% 0.19/0.76 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 0.19/0.76 | c_Series_Osuminf(c_COMBB(c_HOL_Otimes__class_Otimes(V_c,T_a),V_f,T_a,T_a,tc_nat),T_a) = hAPP(c_HOL_Otimes__class_Otimes(V_c,T_a),c_Series_Osuminf(V_f,T_a))
% 0.19/0.76 | ~ c_Series_Osummable(V_f,T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_mult__right_Osuminf_0,axiom,
% 0.19/0.76 ( ~ class_RealVector_Oreal__normed__algebra(T_a)
% 0.19/0.76 | hAPP(c_HOL_Otimes__class_Otimes(V_x,T_a),c_Series_Osuminf(V_X,T_a)) = c_Series_Osuminf(c_COMBB(c_HOL_Otimes__class_Otimes(V_x,T_a),V_X,T_a,T_a,tc_nat),T_a)
% 0.19/0.76 | ~ c_Series_Osummable(V_X,T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_scaleR__right_Osuminf_0,axiom,
% 0.19/0.76 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 0.19/0.76 | hAPP(c_RealVector_OscaleR__class_OscaleR(V_r,T_a),c_Series_Osuminf(V_X,T_a)) = c_Series_Osuminf(c_COMBB(c_RealVector_OscaleR__class_OscaleR(V_r,T_a),V_X,T_a,T_a,tc_nat),T_a)
% 0.19/0.76 | ~ c_Series_Osummable(V_X,T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_LIMSEQ__SEQ__conv1_0,axiom,
% 0.19/0.76 ( ~ class_RealVector_Ometric__space(T_b)
% 0.19/0.76 | ~ class_RealVector_Ometric__space(T_a)
% 0.19/0.76 | c_SEQ_OLIMSEQ(c_COMBB(V_X,V_S,T_a,T_b,tc_nat),V_L,T_b)
% 0.19/0.76 | ~ c_SEQ_OLIMSEQ(V_S,V_a,T_a)
% 0.19/0.76 | hAPP(V_S,c_Lim_Osko__Lim__XLIMSEQ__SEQ__conv1__1__1(V_S,V_a,T_a)) = V_a
% 0.19/0.76 | ~ c_Lim_OLIM(V_X,V_a,V_L,T_a,T_b) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_setsum__abs_0,axiom,
% 0.19/0.76 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)
% 0.19/0.76 | c_lessequals(hAPP(c_HOL_Oabs__class_Oabs(T_a),c_Finite__Set_Osetsum(V_f,V_A,T_b,T_a)),c_Finite__Set_Osetsum(c_COMBB(c_HOL_Oabs__class_Oabs(T_a),V_f,T_a,T_a,T_b),V_A,T_b,T_a),T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_cnj_OZfun_0,axiom,
% 0.19/0.76 ( c_Limits_OZfun(c_COMBB(c_Complex_Ocnj,V_g,tc_Complex_Ocomplex,tc_Complex_Ocomplex,T_a),V_net,T_a,tc_Complex_Ocomplex)
% 0.19/0.76 | ~ c_Limits_OZfun(V_g,V_net,T_a,tc_Complex_Ocomplex) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_cnj_OCauchy_0,axiom,
% 0.19/0.76 ( c_SEQ_OCauchy(c_COMBB(c_Complex_Ocnj,V_X,tc_Complex_Ocomplex,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex)
% 0.19/0.76 | ~ c_SEQ_OCauchy(V_X,tc_Complex_Ocomplex) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_cnj_OZseq_0,axiom,
% 0.19/0.76 ( c_SEQ_OZseq(c_COMBB(c_Complex_Ocnj,V_X,tc_Complex_Ocomplex,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex)
% 0.19/0.76 | ~ c_SEQ_OZseq(V_X,tc_Complex_Ocomplex) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_cnj_Osetsum_0,axiom,
% 0.19/0.76 hAPP(c_Complex_Ocnj,c_Finite__Set_Osetsum(V_g,V_A,T_a,tc_Complex_Ocomplex)) = c_Finite__Set_Osetsum(c_COMBB(c_Complex_Ocnj,V_g,tc_Complex_Ocomplex,tc_Complex_Ocomplex,T_a),V_A,T_a,tc_Complex_Ocomplex) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_cnj_Otendsto_0,axiom,
% 0.19/0.76 ( c_Limits_Otendsto(c_COMBB(c_Complex_Ocnj,V_g,tc_Complex_Ocomplex,tc_Complex_Ocomplex,T_a),hAPP(c_Complex_Ocnj,V_a),V_net,T_a,tc_Complex_Ocomplex)
% 0.19/0.76 | ~ c_Limits_Otendsto(V_g,V_a,V_net,T_a,tc_Complex_Ocomplex) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_cnj_Osums_0,axiom,
% 0.19/0.76 ( c_Series_Osums(c_COMBB(c_Complex_Ocnj,V_X,tc_Complex_Ocomplex,tc_Complex_Ocomplex,tc_nat),hAPP(c_Complex_Ocnj,V_a),tc_Complex_Ocomplex)
% 0.19/0.76 | ~ c_Series_Osums(V_X,V_a,tc_Complex_Ocomplex) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_cnj_OLIMSEQ_0,axiom,
% 0.19/0.76 ( c_SEQ_OLIMSEQ(c_COMBB(c_Complex_Ocnj,V_X,tc_Complex_Ocomplex,tc_Complex_Ocomplex,tc_nat),hAPP(c_Complex_Ocnj,V_a),tc_Complex_Ocomplex)
% 0.19/0.76 | ~ c_SEQ_OLIMSEQ(V_X,V_a,tc_Complex_Ocomplex) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_cnj_Osummable_0,axiom,
% 0.19/0.76 ( c_Series_Osummable(c_COMBB(c_Complex_Ocnj,V_X,tc_Complex_Ocomplex,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex)
% 0.19/0.76 | ~ c_Series_Osummable(V_X,tc_Complex_Ocomplex) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_decseq__le_0,axiom,
% 0.19/0.76 ( c_lessequals(V_L,hAPP(V_X,V_n),tc_RealDef_Oreal)
% 0.19/0.76 | ~ c_SEQ_OLIMSEQ(V_X,V_L,tc_RealDef_Oreal)
% 0.19/0.76 | ~ c_SEQ_Odecseq(V_X) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_incseq__le_0,axiom,
% 0.19/0.76 ( c_lessequals(hAPP(V_X,V_n),V_L,tc_RealDef_Oreal)
% 0.19/0.76 | ~ c_SEQ_OLIMSEQ(V_X,V_L,tc_RealDef_Oreal)
% 0.19/0.76 | ~ c_SEQ_Oincseq(V_X) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_cnj_OLIM_0,axiom,
% 0.19/0.76 ( ~ class_RealVector_Ometric__space(T_a)
% 0.19/0.76 | c_Lim_OLIM(c_COMBB(c_Complex_Ocnj,V_g,tc_Complex_Ocomplex,tc_Complex_Ocomplex,T_a),V_a,hAPP(c_Complex_Ocnj,V_l),T_a,tc_Complex_Ocomplex)
% 0.19/0.76 | ~ c_Lim_OLIM(V_g,V_a,V_l,T_a,tc_Complex_Ocomplex) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_Cauchy__subseq__Cauchy_0,axiom,
% 0.19/0.76 ( ~ class_RealVector_Ometric__space(T_a)
% 0.19/0.76 | c_SEQ_OCauchy(c_Fun_Ocomp(V_X,V_f,tc_nat,T_a,tc_nat),T_a)
% 0.19/0.76 | ~ c_SEQ_Osubseq(V_f)
% 0.19/0.76 | ~ c_SEQ_OCauchy(V_X,T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_Im_OLIM__zero_0,axiom,
% 0.19/0.76 ( ~ class_RealVector_Ometric__space(T_a)
% 0.19/0.76 | c_Lim_OLIM(c_COMBB(c_Complex_OIm,V_g,tc_Complex_Ocomplex,tc_RealDef_Oreal,T_a),V_a,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),T_a,tc_RealDef_Oreal)
% 0.19/0.76 | ~ c_Lim_OLIM(V_g,V_a,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),T_a,tc_Complex_Ocomplex) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_Re_OLIM__zero_0,axiom,
% 0.19/0.76 ( ~ class_RealVector_Ometric__space(T_a)
% 0.19/0.76 | c_Lim_OLIM(c_COMBB(c_Complex_ORe,V_g,tc_Complex_Ocomplex,tc_RealDef_Oreal,T_a),V_a,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),T_a,tc_RealDef_Oreal)
% 0.19/0.76 | ~ c_Lim_OLIM(V_g,V_a,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),T_a,tc_Complex_Ocomplex) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_complex__cnj_0,axiom,
% 0.19/0.76 hAPP(c_Complex_Ocnj,c_Complex_Ocomplex_OComplex(V_a,V_b)) = c_Complex_Ocomplex_OComplex(V_a,hAPP(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),V_b)) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_complex__Im__cnj_0,axiom,
% 0.19/0.76 hAPP(c_Complex_OIm,hAPP(c_Complex_Ocnj,V_x)) = hAPP(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),hAPP(c_Complex_OIm,V_x)) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_cnj__def__raw_0,axiom,
% 0.19/0.76 hAPP(c_Complex_Ocnj,v_z) = c_Complex_Ocomplex_OComplex(hAPP(c_Complex_ORe,v_z),hAPP(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),hAPP(c_Complex_OIm,v_z))) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_sums__minus_0,axiom,
% 0.19/0.76 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 0.19/0.76 | c_Series_Osums(c_COMBB(c_HOL_Ouminus__class_Ouminus(T_a),V_X,T_a,T_a,tc_nat),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a),T_a)
% 0.19/0.76 | ~ c_Series_Osums(V_X,V_a,T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_differentiable__minus_0,axiom,
% 0.19/0.76 ( ~ class_RealVector_Oreal__normed__field(T_a)
% 0.19/0.76 | c_Deriv_Odifferentiable(c_COMBB(c_HOL_Ouminus__class_Ouminus(T_a),V_f,T_a,T_a,T_a),V_x,T_a)
% 0.19/0.76 | ~ c_Deriv_Odifferentiable(V_f,V_x,T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_Zseq__minus_0,axiom,
% 0.19/0.76 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 0.19/0.76 | c_SEQ_OZseq(c_COMBB(c_HOL_Ouminus__class_Ouminus(T_a),V_X,T_a,T_a,tc_nat),T_a)
% 0.19/0.76 | ~ c_SEQ_OZseq(V_X,T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_tendsto__minus__cancel_0,axiom,
% 0.19/0.76 ( ~ class_RealVector_Oreal__normed__vector(T_b)
% 0.19/0.76 | c_Limits_Otendsto(V_f,V_a,V_net,T_a,T_b)
% 0.19/0.76 | ~ c_Limits_Otendsto(c_COMBB(c_HOL_Ouminus__class_Ouminus(T_b),V_f,T_b,T_b,T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_b),V_a),V_net,T_a,T_b) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_tendsto__minus_0,axiom,
% 0.19/0.76 ( ~ class_RealVector_Oreal__normed__vector(T_b)
% 0.19/0.76 | c_Limits_Otendsto(c_COMBB(c_HOL_Ouminus__class_Ouminus(T_b),V_f,T_b,T_b,T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_b),V_a),V_net,T_a,T_b)
% 0.19/0.76 | ~ c_Limits_Otendsto(V_f,V_a,V_net,T_a,T_b) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_Zfun__minus_0,axiom,
% 0.19/0.76 ( ~ class_RealVector_Oreal__normed__vector(T_b)
% 0.19/0.76 | c_Limits_OZfun(c_COMBB(c_HOL_Ouminus__class_Ouminus(T_b),V_f,T_b,T_b,T_a),V_net,T_a,T_b)
% 0.19/0.76 | ~ c_Limits_OZfun(V_f,V_net,T_a,T_b) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_summable__minus_0,axiom,
% 0.19/0.76 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 0.19/0.76 | c_Series_Osummable(c_COMBB(c_HOL_Ouminus__class_Ouminus(T_a),V_X,T_a,T_a,tc_nat),T_a)
% 0.19/0.76 | ~ c_Series_Osummable(V_X,T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_LIMSEQ__minus_0,axiom,
% 0.19/0.76 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 0.19/0.76 | c_SEQ_OLIMSEQ(c_COMBB(c_HOL_Ouminus__class_Ouminus(T_a),V_X,T_a,T_a,tc_nat),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a),T_a)
% 0.19/0.76 | ~ c_SEQ_OLIMSEQ(V_X,V_a,T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_LIMSEQ__minus__cancel_0,axiom,
% 0.19/0.76 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 0.19/0.76 | c_SEQ_OLIMSEQ(V_X,V_a,T_a)
% 0.19/0.76 | ~ c_SEQ_OLIMSEQ(c_COMBB(c_HOL_Ouminus__class_Ouminus(T_a),V_X,T_a,T_a,tc_nat),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a),T_a) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_isCont__minus_0,axiom,
% 0.19/0.76 ( ~ class_RealVector_Ometric__space(T_a)
% 0.19/0.76 | ~ class_RealVector_Oreal__normed__vector(T_b)
% 0.19/0.76 | c_Lim_OisCont(c_COMBB(c_HOL_Ouminus__class_Ouminus(T_b),V_f,T_b,T_b,T_a),V_a,T_a,T_b)
% 0.19/0.76 | ~ c_Lim_OisCont(V_f,V_a,T_a,T_b) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_LIM__minus_0,axiom,
% 0.19/0.76 ( ~ class_RealVector_Oreal__normed__vector(T_b)
% 0.19/0.76 | ~ class_RealVector_Ometric__space(T_a)
% 0.19/0.76 | c_Lim_OLIM(c_COMBB(c_HOL_Ouminus__class_Ouminus(T_b),V_f,T_b,T_b,T_a),V_a,hAPP(c_HOL_Ouminus__class_Ouminus(T_b),V_L),T_a,T_b)
% 0.19/0.76 | ~ c_Lim_OLIM(V_f,V_a,V_L,T_a,T_b) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_setsum__negf_0,axiom,
% 0.19/0.76 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.19/0.76 | c_Finite__Set_Osetsum(c_COMBB(c_HOL_Ouminus__class_Ouminus(T_a),V_f,T_a,T_a,T_b),V_A,T_b,T_a) = hAPP(c_HOL_Ouminus__class_Ouminus(T_a),c_Finite__Set_Osetsum(V_f,V_A,T_b,T_a)) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_complex__minus__def_0,axiom,
% 0.19/0.76 hAPP(c_HOL_Ouminus__class_Ouminus(tc_Complex_Ocomplex),V_x) = c_Complex_Ocomplex_OComplex(hAPP(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),hAPP(c_Complex_ORe,V_x)),hAPP(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),hAPP(c_Complex_OIm,V_x))) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_decseq__eq__incseq_0,axiom,
% 0.19/0.76 ( c_SEQ_Oincseq(c_COMBB(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),V_X,tc_RealDef_Oreal,tc_RealDef_Oreal,tc_nat))
% 0.19/0.76 | ~ c_SEQ_Odecseq(V_X) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_decseq__eq__incseq_1,axiom,
% 0.19/0.76 ( c_SEQ_Odecseq(V_X)
% 0.19/0.76 | ~ c_SEQ_Oincseq(c_COMBB(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),V_X,tc_RealDef_Oreal,tc_RealDef_Oreal,tc_nat)) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_of__real_Ominus_0,axiom,
% 0.19/0.76 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 0.19/0.76 | ~ class_RealVector_Oreal__algebra__1(T_a)
% 0.19/0.76 | hAPP(c_RealVector_Oof__real(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),V_x)) = hAPP(c_HOL_Ouminus__class_Ouminus(T_a),hAPP(c_RealVector_Oof__real(T_a),V_x)) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_of__real__minus_0,axiom,
% 0.19/0.76 ( ~ class_RealVector_Oreal__algebra__1(T_a)
% 0.19/0.76 | hAPP(c_RealVector_Oof__real(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),V_x)) = hAPP(c_HOL_Ouminus__class_Ouminus(T_a),hAPP(c_RealVector_Oof__real(T_a),V_x)) ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_compl__eq__compl__iff_0,axiom,
% 0.19/0.76 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 0.19/0.76 | hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_x) != hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_y)
% 0.19/0.76 | V_x = V_y ) ).
% 0.19/0.76
% 0.19/0.76 cnf(cls_neg__equal__iff__equal_0,axiom,
% 0.19/0.76 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.19/0.77 | hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a) != hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b)
% 0.19/0.77 | V_a = V_b ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_neg__less__iff__less_1,axiom,
% 0.19/0.77 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.19/0.77 | c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a),T_a)
% 0.19/0.77 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_neg__less__iff__less_0,axiom,
% 0.19/0.77 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.19/0.77 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.19/0.77 | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a),T_a) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_neg__le__iff__le_0,axiom,
% 0.19/0.77 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.19/0.77 | c_lessequals(V_a,V_b,T_a)
% 0.19/0.77 | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a),T_a) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_le__imp__neg__le_0,axiom,
% 0.19/0.77 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.19/0.77 | c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a),T_a)
% 0.19/0.77 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_cnj_OLIM__zero_0,axiom,
% 0.19/0.77 ( ~ class_RealVector_Ometric__space(T_a)
% 0.19/0.77 | c_Lim_OLIM(c_COMBB(c_Complex_Ocnj,V_g,tc_Complex_Ocomplex,tc_Complex_Ocomplex,T_a),V_a,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),T_a,tc_Complex_Ocomplex)
% 0.19/0.77 | ~ c_Lim_OLIM(V_g,V_a,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),T_a,tc_Complex_Ocomplex) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_minus__equation__iff_1,axiom,
% 0.19/0.77 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.19/0.77 | hAPP(c_HOL_Ouminus__class_Ouminus(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b)) = V_b ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_equation__minus__iff_1,axiom,
% 0.19/0.77 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.19/0.77 | V_a = hAPP(c_HOL_Ouminus__class_Ouminus(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a)) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_equation__minus__iff_0,axiom,
% 0.19/0.77 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.19/0.77 | V_b = hAPP(c_HOL_Ouminus__class_Ouminus(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b)) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_double__compl_0,axiom,
% 0.19/0.77 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 0.19/0.77 | hAPP(c_HOL_Ouminus__class_Ouminus(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_x)) = V_x ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_minus__minus_0,axiom,
% 0.19/0.77 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.19/0.77 | hAPP(c_HOL_Ouminus__class_Ouminus(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a)) = V_a ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_minus__less__iff_1,axiom,
% 0.19/0.77 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.19/0.77 | c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a),V_b,T_a)
% 0.19/0.77 | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b),V_a,T_a) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_minus__less__iff_0,axiom,
% 0.19/0.77 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.19/0.77 | c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b),V_a,T_a)
% 0.19/0.77 | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a),V_b,T_a) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_less__minus__iff_1,axiom,
% 0.19/0.77 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.19/0.77 | c_HOL_Oord__class_Oless(V_a,hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b),T_a)
% 0.19/0.77 | ~ c_HOL_Oord__class_Oless(V_b,hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a),T_a) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_less__minus__iff_0,axiom,
% 0.19/0.77 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.19/0.77 | c_HOL_Oord__class_Oless(V_b,hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a),T_a)
% 0.19/0.77 | ~ c_HOL_Oord__class_Oless(V_a,hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b),T_a) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_minus__le__iff_1,axiom,
% 0.19/0.77 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.19/0.77 | c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a),V_b,T_a)
% 0.19/0.77 | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b),V_a,T_a) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_minus__le__iff_0,axiom,
% 0.19/0.77 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.19/0.77 | c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b),V_a,T_a)
% 0.19/0.77 | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a),V_b,T_a) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_le__minus__iff_1,axiom,
% 0.19/0.77 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.19/0.77 | c_lessequals(V_a,hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b),T_a)
% 0.19/0.77 | ~ c_lessequals(V_b,hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a),T_a) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_le__minus__iff_0,axiom,
% 0.19/0.77 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.19/0.77 | c_lessequals(V_b,hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a),T_a)
% 0.19/0.77 | ~ c_lessequals(V_a,hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b),T_a) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_of__real_OCauchy_0,axiom,
% 0.19/0.77 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 0.19/0.77 | ~ class_RealVector_Oreal__algebra__1(T_a)
% 0.19/0.77 | c_SEQ_OCauchy(c_COMBB(c_RealVector_Oof__real(T_a),V_X,tc_RealDef_Oreal,T_a,tc_nat),T_a)
% 0.19/0.77 | ~ c_SEQ_OCauchy(V_X,tc_RealDef_Oreal) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_cnj_Osuminf_0,axiom,
% 0.19/0.77 ( hAPP(c_Complex_Ocnj,c_Series_Osuminf(V_X,tc_Complex_Ocomplex)) = c_Series_Osuminf(c_COMBB(c_Complex_Ocnj,V_X,tc_Complex_Ocomplex,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex)
% 0.19/0.77 | ~ c_Series_Osummable(V_X,tc_Complex_Ocomplex) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_cnj__def_0,axiom,
% 0.19/0.77 hAPP(c_Complex_Ocnj,V_z) = c_Complex_Ocomplex_OComplex(hAPP(c_Complex_ORe,V_z),hAPP(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),hAPP(c_Complex_OIm,V_z))) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_of__real_Osuminf_0,axiom,
% 0.19/0.77 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 0.19/0.77 | ~ class_RealVector_Oreal__algebra__1(T_a)
% 0.19/0.77 | hAPP(c_RealVector_Oof__real(T_a),c_Series_Osuminf(V_X,tc_RealDef_Oreal)) = c_Series_Osuminf(c_COMBB(c_RealVector_Oof__real(T_a),V_X,tc_RealDef_Oreal,T_a,tc_nat),T_a)
% 0.19/0.77 | ~ c_Series_Osummable(V_X,tc_RealDef_Oreal) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_Im_Osummable_0,axiom,
% 0.19/0.77 ( c_Series_Osummable(c_COMBB(c_Complex_OIm,V_X,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)
% 0.19/0.77 | ~ c_Series_Osummable(V_X,tc_Complex_Ocomplex) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_Im_Osuminf_0,axiom,
% 0.19/0.77 ( hAPP(c_Complex_OIm,c_Series_Osuminf(V_X,tc_Complex_Ocomplex)) = c_Series_Osuminf(c_COMBB(c_Complex_OIm,V_X,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)
% 0.19/0.77 | ~ c_Series_Osummable(V_X,tc_Complex_Ocomplex) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_Im_OLIM_0,axiom,
% 0.19/0.77 ( ~ class_RealVector_Ometric__space(T_a)
% 0.19/0.77 | c_Lim_OLIM(c_COMBB(c_Complex_OIm,V_g,tc_Complex_Ocomplex,tc_RealDef_Oreal,T_a),V_a,hAPP(c_Complex_OIm,V_l),T_a,tc_RealDef_Oreal)
% 0.19/0.77 | ~ c_Lim_OLIM(V_g,V_a,V_l,T_a,tc_Complex_Ocomplex) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_linorder__not__le_1,axiom,
% 0.19/0.77 ( ~ class_Orderings_Olinorder(T_a)
% 0.19/0.77 | ~ c_lessequals(V_x,V_y,T_a)
% 0.19/0.77 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_linorder__not__le_0,axiom,
% 0.19/0.77 ( ~ class_Orderings_Olinorder(T_a)
% 0.19/0.77 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.19/0.77 | c_lessequals(V_x,V_y,T_a) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_linorder__not__less_0,axiom,
% 0.19/0.77 ( ~ class_Orderings_Olinorder(T_a)
% 0.19/0.77 | c_lessequals(V_y,V_x,T_a)
% 0.19/0.77 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_linorder__not__less_1,axiom,
% 0.19/0.77 ( ~ class_Orderings_Olinorder(T_a)
% 0.19/0.77 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.19/0.77 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_linorder__antisym__conv1_1,axiom,
% 0.19/0.77 ( ~ class_Orderings_Olinorder(T_a)
% 0.19/0.77 | c_HOL_Oord__class_Oless(V_x,V_x,T_a)
% 0.19/0.77 | c_lessequals(V_x,V_x,T_a) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_linorder__antisym__conv2_1,axiom,
% 0.19/0.77 ( ~ class_Orderings_Olinorder(T_a)
% 0.19/0.77 | ~ c_lessequals(V_x,V_x,T_a)
% 0.19/0.77 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_not__leE_0,axiom,
% 0.19/0.77 ( ~ class_Orderings_Olinorder(T_a)
% 0.19/0.77 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.19/0.77 | c_lessequals(V_y,V_x,T_a) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_less__le__not__le_1,axiom,
% 0.19/0.77 ( ~ class_Orderings_Opreorder(T_a)
% 0.19/0.77 | ~ c_lessequals(V_y,V_x,T_a)
% 0.19/0.77 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_order__less__trans_0,axiom,
% 0.19/0.77 ( ~ class_Orderings_Opreorder(T_a)
% 0.19/0.77 | c_HOL_Oord__class_Oless(V_x,V_z,T_a)
% 0.19/0.77 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a)
% 0.19/0.77 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_xt1_I10_J_0,axiom,
% 0.19/0.77 ( ~ class_Orderings_Oorder(T_a)
% 0.19/0.77 | c_HOL_Oord__class_Oless(V_z,V_x,T_a)
% 0.19/0.77 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a)
% 0.19/0.77 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_isCont__LIM__compose_0,axiom,
% 0.19/0.77 ( ~ class_RealVector_Ometric__space(T_a)
% 0.19/0.77 | ~ class_RealVector_Ometric__space(T_b)
% 0.19/0.77 | ~ class_RealVector_Ometric__space(T_c)
% 0.19/0.77 | c_Lim_OLIM(c_COMBB(V_g,V_f,T_a,T_b,T_c),V_a,hAPP(V_g,V_l),T_c,T_b)
% 0.19/0.77 | ~ c_Lim_OLIM(V_f,V_a,V_l,T_c,T_a)
% 0.19/0.77 | ~ c_Lim_OisCont(V_g,V_l,T_a,T_b) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_LIMSEQ__imp__Cauchy_0,axiom,
% 0.19/0.77 ( ~ class_RealVector_Ometric__space(T_a)
% 0.19/0.77 | c_SEQ_OCauchy(V_X,T_a)
% 0.19/0.77 | ~ c_SEQ_OLIMSEQ(V_X,V_a,T_a) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_of__real__eq__iff_0,axiom,
% 0.19/0.77 ( ~ class_RealVector_Oreal__algebra__1(T_a)
% 0.19/0.77 | hAPP(c_RealVector_Oof__real(T_a),V_x) != hAPP(c_RealVector_Oof__real(T_a),V_y)
% 0.19/0.77 | V_x = V_y ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_Im_OisCont_0,axiom,
% 0.19/0.77 c_Lim_OisCont(c_Complex_OIm,V_a,tc_Complex_Ocomplex,tc_RealDef_Oreal) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_isUCont__isCont_0,axiom,
% 0.19/0.77 ( ~ class_RealVector_Ometric__space(T_a)
% 0.19/0.77 | ~ class_RealVector_Ometric__space(T_b)
% 0.19/0.77 | c_Lim_OisCont(V_f,V_x,T_a,T_b)
% 0.19/0.77 | ~ c_Lim_OisUCont(V_f,T_a,T_b) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_order__antisym_0,axiom,
% 0.19/0.77 ( ~ class_Orderings_Oorder(T_a)
% 0.19/0.77 | V_x = V_y
% 0.19/0.77 | ~ c_lessequals(V_y,V_x,T_a)
% 0.19/0.77 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_linorder__neqE_0,axiom,
% 0.19/0.77 ( ~ class_Orderings_Olinorder(T_a)
% 0.19/0.77 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.19/0.77 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.19/0.77 | V_x = V_y ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_order__eq__iff_2,axiom,
% 0.19/0.77 ( ~ class_Orderings_Oorder(T_a)
% 0.19/0.77 | V_x = V_y
% 0.19/0.77 | ~ c_lessequals(V_y,V_x,T_a)
% 0.19/0.77 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_linorder__neqE__nat_0,axiom,
% 0.19/0.77 ( c_HOL_Oord__class_Oless(V_y,V_x,tc_nat)
% 0.19/0.77 | c_HOL_Oord__class_Oless(V_x,V_y,tc_nat)
% 0.19/0.77 | V_x = V_y ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_nat__less__cases_0,axiom,
% 0.19/0.77 ( hBOOL(hAPP(hAPP(V_P,V_n),V_m))
% 0.19/0.77 | c_HOL_Oord__class_Oless(V_n,V_m,tc_nat)
% 0.19/0.77 | V_m = V_n
% 0.19/0.77 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_LIMSEQ__unique_0,axiom,
% 0.19/0.77 ( ~ class_RealVector_Ometric__space(T_a)
% 0.19/0.77 | V_a = V_b
% 0.19/0.77 | ~ c_SEQ_OLIMSEQ(V_X,V_b,T_a)
% 0.19/0.77 | ~ c_SEQ_OLIMSEQ(V_X,V_a,T_a) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_nat__neq__iff_0,axiom,
% 0.19/0.77 ( c_HOL_Oord__class_Oless(V_n,V_m,tc_nat)
% 0.19/0.77 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.19/0.77 | V_m = V_n ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_le__antisym_0,axiom,
% 0.19/0.77 ( V_m = V_n
% 0.19/0.77 | ~ c_lessequals(V_n,V_m,tc_nat)
% 0.19/0.77 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_LIM__unique_0,axiom,
% 0.19/0.77 ( ~ class_RealVector_Ometric__space(T_b)
% 0.19/0.77 | ~ class_RealVector_Oreal__normed__algebra__1(T_a)
% 0.19/0.77 | V_L = V_M
% 0.19/0.77 | ~ c_Lim_OLIM(V_f,V_a,V_M,T_a,T_b)
% 0.19/0.77 | ~ c_Lim_OLIM(V_f,V_a,V_L,T_a,T_b) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_order__antisym__conv_0,axiom,
% 0.19/0.77 ( ~ class_Orderings_Oorder(T_a)
% 0.19/0.77 | V_x = V_y
% 0.19/0.77 | ~ c_lessequals(V_x,V_y,T_a)
% 0.19/0.77 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_linorder__less__linear_0,axiom,
% 0.19/0.77 ( ~ class_Orderings_Olinorder(T_a)
% 0.19/0.77 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.19/0.77 | V_x = V_y
% 0.19/0.77 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_linorder__antisym__conv3_0,axiom,
% 0.19/0.77 ( ~ class_Orderings_Olinorder(T_a)
% 0.19/0.77 | V_x = V_y
% 0.19/0.77 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.19/0.77 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_not__less__iff__gr__or__eq_0,axiom,
% 0.19/0.77 ( ~ class_Orderings_Olinorder(T_a)
% 0.19/0.77 | V_x = V_y
% 0.19/0.77 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.19/0.77 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_linorder__neqE__ordered__idom_0,axiom,
% 0.19/0.77 ( ~ class_Ring__and__Field_Oordered__idom(T_a)
% 0.19/0.77 | c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.19/0.77 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.19/0.77 | V_x = V_y ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_Im_OZfun_0,axiom,
% 0.19/0.77 ( c_Limits_OZfun(c_COMBB(c_Complex_OIm,V_g,tc_Complex_Ocomplex,tc_RealDef_Oreal,T_a),V_net,T_a,tc_RealDef_Oreal)
% 0.19/0.77 | ~ c_Limits_OZfun(V_g,V_net,T_a,tc_Complex_Ocomplex) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_complex__eq__cancel__iff2_0,axiom,
% 0.19/0.77 ( c_Complex_Ocomplex_OComplex(V_x,V_y) != hAPP(c_RealVector_Oof__real(tc_Complex_Ocomplex),V_xa)
% 0.19/0.77 | V_x = V_xa ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_Im_Osums_0,axiom,
% 0.19/0.77 ( c_Series_Osums(c_COMBB(c_Complex_OIm,V_X,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),hAPP(c_Complex_OIm,V_a),tc_RealDef_Oreal)
% 0.19/0.77 | ~ c_Series_Osums(V_X,V_a,tc_Complex_Ocomplex) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_Im_OCauchy_0,axiom,
% 0.19/0.77 ( c_SEQ_OCauchy(c_COMBB(c_Complex_OIm,V_X,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)
% 0.19/0.77 | ~ c_SEQ_OCauchy(V_X,tc_Complex_Ocomplex) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_complex_Oinject_1,axiom,
% 0.19/0.77 ( c_Complex_Ocomplex_OComplex(V_real1,V_real2) != c_Complex_Ocomplex_OComplex(V_real1_H,V_real2_H)
% 0.19/0.77 | V_real2 = V_real2_H ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_complex_Oinject_0,axiom,
% 0.19/0.77 ( c_Complex_Ocomplex_OComplex(V_real1,V_real2) != c_Complex_Ocomplex_OComplex(V_real1_H,V_real2_H)
% 0.19/0.77 | V_real1 = V_real1_H ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_Im_Osetsum_0,axiom,
% 0.19/0.77 hAPP(c_Complex_OIm,c_Finite__Set_Osetsum(V_g,V_A,T_a,tc_Complex_Ocomplex)) = c_Finite__Set_Osetsum(c_COMBB(c_Complex_OIm,V_g,tc_Complex_Ocomplex,tc_RealDef_Oreal,T_a),V_A,T_a,tc_RealDef_Oreal) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_order__less__le_2,axiom,
% 0.19/0.77 ( ~ class_Orderings_Oorder(T_a)
% 0.19/0.77 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.19/0.77 | V_x = V_y
% 0.19/0.77 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_order__le__less_0,axiom,
% 0.19/0.77 ( ~ class_Orderings_Oorder(T_a)
% 0.19/0.77 | V_x = V_y
% 0.19/0.77 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.19/0.77 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_le__neq__implies__less_0,axiom,
% 0.19/0.77 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.19/0.77 | V_m = V_n
% 0.19/0.77 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_le__eq__less__or__eq_0,axiom,
% 0.19/0.77 ( V_m = V_n
% 0.19/0.77 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.19/0.77 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_nat__less__le_2,axiom,
% 0.19/0.77 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.19/0.77 | V_m = V_n
% 0.19/0.77 | ~ c_lessequals(V_m,V_n,tc_nat) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_order__le__neq__trans_0,axiom,
% 0.19/0.77 ( ~ class_Orderings_Oorder(T_a)
% 0.19/0.77 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.19/0.77 | V_a = V_b
% 0.19/0.77 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_order__neq__le__trans_0,axiom,
% 0.19/0.77 ( ~ class_Orderings_Oorder(T_a)
% 0.19/0.77 | c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.19/0.77 | ~ c_lessequals(V_a,V_b,T_a)
% 0.19/0.77 | V_a = V_b ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_linorder__antisym__conv1_0,axiom,
% 0.19/0.77 ( ~ class_Orderings_Olinorder(T_a)
% 0.19/0.77 | V_x = V_y
% 0.19/0.77 | ~ c_lessequals(V_x,V_y,T_a)
% 0.19/0.77 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_linorder__antisym__conv2_0,axiom,
% 0.19/0.77 ( ~ class_Orderings_Olinorder(T_a)
% 0.19/0.77 | V_x = V_y
% 0.19/0.77 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.19/0.77 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_xt1_I12_J_0,axiom,
% 0.19/0.77 ( ~ class_Orderings_Oorder(T_a)
% 0.19/0.77 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.19/0.77 | ~ c_lessequals(V_b,V_a,T_a)
% 0.19/0.77 | V_a = V_b ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_xt1_I11_J_0,axiom,
% 0.19/0.77 ( ~ class_Orderings_Oorder(T_a)
% 0.19/0.77 | c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.19/0.77 | V_a = V_b
% 0.19/0.77 | ~ c_lessequals(V_b,V_a,T_a) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_Im_OZseq_0,axiom,
% 0.19/0.77 ( c_SEQ_OZseq(c_COMBB(c_Complex_OIm,V_X,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)
% 0.19/0.77 | ~ c_SEQ_OZseq(V_X,tc_Complex_Ocomplex) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_Im_Otendsto_0,axiom,
% 0.19/0.77 ( c_Limits_Otendsto(c_COMBB(c_Complex_OIm,V_g,tc_Complex_Ocomplex,tc_RealDef_Oreal,T_a),hAPP(c_Complex_OIm,V_a),V_net,T_a,tc_RealDef_Oreal)
% 0.19/0.77 | ~ c_Limits_Otendsto(V_g,V_a,V_net,T_a,tc_Complex_Ocomplex) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_isUCont__Cauchy_0,axiom,
% 0.19/0.77 ( ~ class_RealVector_Ometric__space(T_a)
% 0.19/0.77 | ~ class_RealVector_Ometric__space(T_b)
% 0.19/0.77 | c_SEQ_OCauchy(c_COMBB(V_f,V_X,T_a,T_b,tc_nat),T_b)
% 0.19/0.77 | ~ c_SEQ_OCauchy(V_X,T_a)
% 0.19/0.77 | ~ c_Lim_OisUCont(V_f,T_a,T_b) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_Im_0,axiom,
% 0.19/0.77 hAPP(c_Complex_OIm,c_Complex_Ocomplex_OComplex(V_x,V_y)) = V_y ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_sums__summable_0,axiom,
% 0.19/0.77 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 0.19/0.77 | c_Series_Osummable(V_f,T_a)
% 0.19/0.77 | ~ c_Series_Osums(V_f,V_l,T_a) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_sums__iff_0,axiom,
% 0.19/0.77 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 0.19/0.77 | c_Series_Osummable(V_f,T_a)
% 0.19/0.77 | ~ c_Series_Osums(V_f,V_x,T_a) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_complex__cnj__cnj_0,axiom,
% 0.19/0.77 hAPP(c_Complex_Ocnj,hAPP(c_Complex_Ocnj,V_z)) = V_z ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_linorder__neq__iff_1,axiom,
% 0.19/0.77 ( ~ class_Orderings_Olinorder(T_a)
% 0.19/0.77 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_order__less__le_1,axiom,
% 0.19/0.77 ( ~ class_Orderings_Oorder(T_a)
% 0.19/0.77 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_less__not__refl_0,axiom,
% 0.19/0.77 ~ c_HOL_Oord__class_Oless(V_n,V_n,tc_nat) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_nat__less__le_1,axiom,
% 0.19/0.77 ~ c_HOL_Oord__class_Oless(V_x,V_x,tc_nat) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_order__less__irrefl_0,axiom,
% 0.19/0.77 ( ~ class_Orderings_Opreorder(T_a)
% 0.19/0.77 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_less__le__not__le_2,axiom,
% 0.19/0.77 ( ~ class_Orderings_Opreorder(T_a)
% 0.19/0.77 | c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.19/0.77 | c_lessequals(V_y,V_x,T_a)
% 0.19/0.77 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_order__le__less_1,axiom,
% 0.19/0.77 ( ~ class_Orderings_Oorder(T_a)
% 0.19/0.77 | c_lessequals(V_x,V_y,T_a)
% 0.19/0.77 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_nat__less__le_0,axiom,
% 0.19/0.77 ( c_lessequals(V_m,V_n,tc_nat)
% 0.19/0.77 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_order__less__imp__le_0,axiom,
% 0.19/0.77 ( ~ class_Orderings_Opreorder(T_a)
% 0.19/0.77 | c_lessequals(V_x,V_y,T_a)
% 0.19/0.77 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_termination__basic__simps_I5_J_0,axiom,
% 0.19/0.77 ( c_lessequals(V_x,V_y,tc_nat)
% 0.19/0.77 | ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_nat) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_sums__unique_0,axiom,
% 0.19/0.77 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 0.19/0.77 | V_s = c_Series_Osuminf(V_f,T_a)
% 0.19/0.77 | ~ c_Series_Osums(V_f,V_s,T_a) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_sums__iff_1,axiom,
% 0.19/0.77 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 0.19/0.77 | c_Series_Osuminf(V_f,T_a) = V_x
% 0.19/0.77 | ~ c_Series_Osums(V_f,V_x,T_a) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_complex__surj_0,axiom,
% 0.19/0.77 c_Complex_Ocomplex_OComplex(hAPP(c_Complex_ORe,V_z),hAPP(c_Complex_OIm,V_z)) = V_z ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_complex__cnj__cancel__iff_0,axiom,
% 0.19/0.77 ( hAPP(c_Complex_Ocnj,V_x) != hAPP(c_Complex_Ocnj,V_y)
% 0.19/0.77 | V_x = V_y ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_complex__cnj__complex__of__real_0,axiom,
% 0.19/0.77 hAPP(c_Complex_Ocnj,hAPP(c_RealVector_Oof__real(tc_Complex_Ocomplex),V_x)) = hAPP(c_RealVector_Oof__real(tc_Complex_Ocomplex),V_x) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_summable__sums_0,axiom,
% 0.19/0.77 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 0.19/0.77 | c_Series_Osums(V_f,c_Series_Osuminf(V_f,T_a),T_a)
% 0.19/0.77 | ~ c_Series_Osummable(V_f,T_a) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_sums__iff_2,axiom,
% 0.19/0.77 ( ~ class_RealVector_Oreal__normed__vector(T_a)
% 0.19/0.77 | ~ c_Series_Osummable(V_f,T_a)
% 0.19/0.77 | c_Series_Osums(V_f,c_Series_Osuminf(V_f,T_a),T_a) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_order__eq__refl_0,axiom,
% 0.19/0.77 ( ~ class_Orderings_Opreorder(T_a)
% 0.19/0.77 | c_lessequals(V_x,V_x,T_a) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_order__eq__iff_0,axiom,
% 0.19/0.77 ( ~ class_Orderings_Oorder(T_a)
% 0.19/0.77 | c_lessequals(V_x,V_x,T_a) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_eq__imp__le_0,axiom,
% 0.19/0.77 c_lessequals(V_x,V_x,tc_nat) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_le__trans_0,axiom,
% 0.19/0.77 ( c_lessequals(V_i,V_k,tc_nat)
% 0.19/0.77 | ~ c_lessequals(V_j,V_k,tc_nat)
% 0.19/0.77 | ~ c_lessequals(V_i,V_j,tc_nat) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_le__refl_0,axiom,
% 0.19/0.77 c_lessequals(V_n,V_n,tc_nat) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_order__le__less__trans_0,axiom,
% 0.19/0.77 ( ~ class_Orderings_Opreorder(T_a)
% 0.19/0.77 | c_HOL_Oord__class_Oless(V_x,V_z,T_a)
% 0.19/0.77 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a)
% 0.19/0.77 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_order__less__le__trans_0,axiom,
% 0.19/0.77 ( ~ class_Orderings_Opreorder(T_a)
% 0.19/0.77 | c_HOL_Oord__class_Oless(V_x,V_z,T_a)
% 0.19/0.77 | ~ c_lessequals(V_y,V_z,T_a)
% 0.19/0.77 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_order__trans_0,axiom,
% 0.19/0.77 ( ~ class_Orderings_Opreorder(T_a)
% 0.19/0.77 | c_lessequals(V_x,V_z,T_a)
% 0.19/0.77 | ~ c_lessequals(V_y,V_z,T_a)
% 0.19/0.77 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_xt1_I8_J_0,axiom,
% 0.19/0.77 ( ~ class_Orderings_Oorder(T_a)
% 0.19/0.77 | c_HOL_Oord__class_Oless(V_z,V_x,T_a)
% 0.19/0.77 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a)
% 0.19/0.77 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_xt1_I7_J_0,axiom,
% 0.19/0.77 ( ~ class_Orderings_Oorder(T_a)
% 0.19/0.77 | c_HOL_Oord__class_Oless(V_z,V_x,T_a)
% 0.19/0.77 | ~ c_lessequals(V_z,V_y,T_a)
% 0.19/0.77 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_xt1_I6_J_0,axiom,
% 0.19/0.77 ( ~ class_Orderings_Oorder(T_a)
% 0.19/0.77 | c_lessequals(V_z,V_x,T_a)
% 0.19/0.77 | ~ c_lessequals(V_z,V_y,T_a)
% 0.19/0.77 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_isCont__def_1,axiom,
% 0.19/0.77 ( ~ class_RealVector_Ometric__space(T_a)
% 0.19/0.77 | ~ class_RealVector_Ometric__space(T_b)
% 0.19/0.77 | c_Lim_OisCont(V_f,V_a,T_a,T_b)
% 0.19/0.77 | ~ c_Lim_OLIM(V_f,V_a,hAPP(V_f,V_a),T_a,T_b) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_isCont__def_0,axiom,
% 0.19/0.77 ( ~ class_RealVector_Ometric__space(T_a)
% 0.19/0.77 | ~ class_RealVector_Ometric__space(T_b)
% 0.19/0.77 | c_Lim_OLIM(V_f,V_a,hAPP(V_f,V_a),T_a,T_b)
% 0.19/0.77 | ~ c_Lim_OisCont(V_f,V_a,T_a,T_b) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_Im_OLIMSEQ_0,axiom,
% 0.19/0.77 ( c_SEQ_OLIMSEQ(c_COMBB(c_Complex_OIm,V_X,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),hAPP(c_Complex_OIm,V_a),tc_RealDef_Oreal)
% 0.19/0.77 | ~ c_SEQ_OLIMSEQ(V_X,V_a,tc_Complex_Ocomplex) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_Im_OisUCont_0,axiom,
% 0.19/0.77 c_Lim_OisUCont(c_Complex_OIm,tc_Complex_Ocomplex,tc_RealDef_Oreal) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_Im_Ocont_0,axiom,
% 0.19/0.77 c_Lim_OLIM(c_Complex_OIm,V_a,hAPP(c_Complex_OIm,V_a),tc_Complex_Ocomplex,tc_RealDef_Oreal) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_order__less__asym_H_0,axiom,
% 0.19/0.77 ( ~ class_Orderings_Opreorder(T_a)
% 0.19/0.77 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a)
% 0.19/0.77 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_order__less__asym_0,axiom,
% 0.19/0.77 ( ~ class_Orderings_Opreorder(T_a)
% 0.19/0.77 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a)
% 0.19/0.77 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_linorder__linear_0,axiom,
% 0.19/0.77 ( ~ class_Orderings_Olinorder(T_a)
% 0.19/0.77 | c_lessequals(V_y,V_x,T_a)
% 0.19/0.77 | c_lessequals(V_x,V_y,T_a) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_nat__le__linear_0,axiom,
% 0.19/0.77 ( c_lessequals(V_n,V_m,tc_nat)
% 0.19/0.77 | c_lessequals(V_m,V_n,tc_nat) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_not__less__iff__gr__or__eq_1,axiom,
% 0.19/0.77 ( ~ class_Orderings_Olinorder(T_a)
% 0.19/0.77 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a)
% 0.19/0.77 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_xt1_I9_J_0,axiom,
% 0.19/0.77 ( ~ class_Orderings_Oorder(T_a)
% 0.19/0.77 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
% 0.19/0.77 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_Re_0,axiom,
% 0.19/0.77 hAPP(c_Complex_ORe,c_Complex_Ocomplex_OComplex(V_x,V_y)) = V_x ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_Re_OisUCont_0,axiom,
% 0.19/0.77 c_Lim_OisUCont(c_Complex_ORe,tc_Complex_Ocomplex,tc_RealDef_Oreal) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_image__image_0,axiom,
% 0.19/0.77 c_Set_Oimage(V_f,c_Set_Oimage(V_g,V_A,T_c,T_b),T_b,T_a) = c_Set_Oimage(c_COMBB(V_f,V_g,T_b,T_a,T_c),V_A,T_c,T_a) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_Re_Osums_0,axiom,
% 0.19/0.77 ( c_Series_Osums(c_COMBB(c_Complex_ORe,V_X,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),hAPP(c_Complex_ORe,V_a),tc_RealDef_Oreal)
% 0.19/0.77 | ~ c_Series_Osums(V_X,V_a,tc_Complex_Ocomplex) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_incseq__imp__monoseq_0,axiom,
% 0.19/0.77 ( c_SEQ_Omonoseq(V_X)
% 0.19/0.77 | ~ c_SEQ_Oincseq(V_X) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_seq__monosub_0,axiom,
% 0.19/0.77 c_SEQ_Osubseq(c_SEQ_Osko__SEQ__Xseq__monosub__1__1(V_s)) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_complex__Re__cnj_0,axiom,
% 0.19/0.77 hAPP(c_Complex_ORe,hAPP(c_Complex_Ocnj,V_x)) = hAPP(c_Complex_ORe,V_x) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_Re_Otendsto_0,axiom,
% 0.19/0.77 ( c_Limits_Otendsto(c_COMBB(c_Complex_ORe,V_g,tc_Complex_Ocomplex,tc_RealDef_Oreal,T_a),hAPP(c_Complex_ORe,V_a),V_net,T_a,tc_RealDef_Oreal)
% 0.19/0.77 | ~ c_Limits_Otendsto(V_g,V_a,V_net,T_a,tc_Complex_Ocomplex) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_complex__equality_0,axiom,
% 0.19/0.77 ( hAPP(c_Complex_OIm,V_x) != hAPP(c_Complex_OIm,V_y)
% 0.19/0.77 | hAPP(c_Complex_ORe,V_x) != hAPP(c_Complex_ORe,V_y)
% 0.19/0.77 | V_x = V_y ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_LIM__compose_0,axiom,
% 0.19/0.77 ( ~ class_RealVector_Ometric__space(T_a)
% 0.19/0.77 | ~ class_RealVector_Ometric__space(T_b)
% 0.19/0.77 | ~ class_RealVector_Ometric__space(T_c)
% 0.19/0.77 | c_Lim_OLIM(c_COMBB(V_g,V_f,T_a,T_b,T_c),V_a,hAPP(V_g,V_l),T_c,T_b)
% 0.19/0.77 | ~ c_Lim_OLIM(V_f,V_a,V_l,T_c,T_a)
% 0.19/0.77 | ~ c_Lim_OLIM(V_g,V_l,hAPP(V_g,V_l),T_a,T_b) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_seq__suble_0,axiom,
% 0.19/0.77 ( c_lessequals(V_n,hAPP(V_f,V_n),tc_nat)
% 0.19/0.77 | ~ c_SEQ_Osubseq(V_f) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_Re_OLIM_0,axiom,
% 0.19/0.77 ( ~ class_RealVector_Ometric__space(T_a)
% 0.19/0.77 | c_Lim_OLIM(c_COMBB(c_Complex_ORe,V_g,tc_Complex_Ocomplex,tc_RealDef_Oreal,T_a),V_a,hAPP(c_Complex_ORe,V_l),T_a,tc_RealDef_Oreal)
% 0.19/0.77 | ~ c_Lim_OLIM(V_g,V_a,V_l,T_a,tc_Complex_Ocomplex) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_Re_Osuminf_0,axiom,
% 0.19/0.77 ( hAPP(c_Complex_ORe,c_Series_Osuminf(V_X,tc_Complex_Ocomplex)) = c_Series_Osuminf(c_COMBB(c_Complex_ORe,V_X,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)
% 0.19/0.77 | ~ c_Series_Osummable(V_X,tc_Complex_Ocomplex) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_Re_OZseq_0,axiom,
% 0.19/0.77 ( c_SEQ_OZseq(c_COMBB(c_Complex_ORe,V_X,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)
% 0.19/0.77 | ~ c_SEQ_OZseq(V_X,tc_Complex_Ocomplex) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_Re__complex__of__real_0,axiom,
% 0.19/0.77 hAPP(c_Complex_ORe,hAPP(c_RealVector_Oof__real(tc_Complex_Ocomplex),V_z)) = V_z ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_Re_Ocont_0,axiom,
% 0.19/0.77 c_Lim_OLIM(c_Complex_ORe,V_a,hAPP(c_Complex_ORe,V_a),tc_Complex_Ocomplex,tc_RealDef_Oreal) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_Re_OLIMSEQ_0,axiom,
% 0.19/0.77 ( c_SEQ_OLIMSEQ(c_COMBB(c_Complex_ORe,V_X,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),hAPP(c_Complex_ORe,V_a),tc_RealDef_Oreal)
% 0.19/0.77 | ~ c_SEQ_OLIMSEQ(V_X,V_a,tc_Complex_Ocomplex) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_Re_OCauchy_0,axiom,
% 0.19/0.77 ( c_SEQ_OCauchy(c_COMBB(c_Complex_ORe,V_X,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)
% 0.19/0.77 | ~ c_SEQ_OCauchy(V_X,tc_Complex_Ocomplex) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_Re_OZfun_0,axiom,
% 0.19/0.77 ( c_Limits_OZfun(c_COMBB(c_Complex_ORe,V_g,tc_Complex_Ocomplex,tc_RealDef_Oreal,T_a),V_net,T_a,tc_RealDef_Oreal)
% 0.19/0.77 | ~ c_Limits_OZfun(V_g,V_net,T_a,tc_Complex_Ocomplex) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_isCont__o2_0,axiom,
% 0.19/0.77 ( ~ class_RealVector_Ometric__space(T_a)
% 0.19/0.77 | ~ class_RealVector_Ometric__space(T_c)
% 0.19/0.77 | ~ class_RealVector_Ometric__space(T_b)
% 0.19/0.77 | c_Lim_OisCont(c_COMBB(V_g,V_f,T_b,T_c,T_a),V_a,T_a,T_c)
% 0.19/0.77 | ~ c_Lim_OisCont(V_g,hAPP(V_f,V_a),T_b,T_c)
% 0.19/0.77 | ~ c_Lim_OisCont(V_f,V_a,T_a,T_b) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_decseq__imp__monoseq_0,axiom,
% 0.19/0.77 ( c_SEQ_Omonoseq(V_X)
% 0.19/0.77 | ~ c_SEQ_Odecseq(V_X) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_differentiable__compose_0,axiom,
% 0.19/0.77 ( ~ class_RealVector_Oreal__normed__field(T_a)
% 0.19/0.77 | c_Deriv_Odifferentiable(c_COMBB(V_f,V_g,T_a,T_a,T_a),V_x,T_a)
% 0.19/0.77 | ~ c_Deriv_Odifferentiable(V_g,V_x,T_a)
% 0.19/0.77 | ~ c_Deriv_Odifferentiable(V_f,hAPP(V_g,V_x),T_a) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_subseq__def_0,axiom,
% 0.19/0.77 ( c_HOL_Oord__class_Oless(hAPP(V_f,V_m),hAPP(V_f,V_n),tc_nat)
% 0.19/0.77 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)
% 0.19/0.77 | ~ c_SEQ_Osubseq(V_f) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_Re_OisCont_0,axiom,
% 0.19/0.77 c_Lim_OisCont(c_Complex_ORe,V_a,tc_Complex_Ocomplex,tc_RealDef_Oreal) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_Re_Osetsum_0,axiom,
% 0.19/0.77 hAPP(c_Complex_ORe,c_Finite__Set_Osetsum(V_g,V_A,T_a,tc_Complex_Ocomplex)) = c_Finite__Set_Osetsum(c_COMBB(c_Complex_ORe,V_g,tc_Complex_Ocomplex,tc_RealDef_Oreal,T_a),V_A,T_a,tc_RealDef_Oreal) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_COMBB__def_0,axiom,
% 0.19/0.77 hAPP(c_COMBB(V_P,V_Q,T_b,T_a,T_c),V_R) = hAPP(V_P,hAPP(V_Q,V_R)) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_that_0,axiom,
% 0.19/0.77 ( v_thesis____
% 0.19/0.77 | ~ c_SEQ_Omonoseq(c_COMBB(c_Complex_ORe,c_COMBB(v_s,V_f,tc_nat,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat))
% 0.19/0.77 | ~ c_SEQ_Osubseq(V_f) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_Re_Osummable_0,axiom,
% 0.19/0.77 ( c_Series_Osummable(c_COMBB(c_Complex_ORe,V_X,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)
% 0.19/0.77 | ~ c_Series_Osummable(V_X,tc_Complex_Ocomplex) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_CHAINED_1,axiom,
% 0.19/0.77 c_SEQ_Omonoseq(c_COMBB(c_Complex_ORe,c_COMBB(v_s,v_sko__CHAINED__1(v_s),tc_nat,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat)) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_CHAINED_0,axiom,
% 0.19/0.77 c_SEQ_Osubseq(v_sko__CHAINED__1(v_s)) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_conjecture_0,negated_conjecture,
% 0.19/0.77 ~ v_thesis____ ).
% 0.19/0.77
% 0.19/0.77 cnf(clsarity_fun__Lattices_Oboolean__algebra,axiom,
% 0.19/0.77 ( class_Lattices_Oboolean__algebra(tc_fun(T_2,T_1))
% 0.19/0.77 | ~ class_Lattices_Oboolean__algebra(T_1) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(clsarity_fun__Orderings_Opreorder,axiom,
% 0.19/0.77 ( class_Orderings_Opreorder(tc_fun(T_2,T_1))
% 0.19/0.77 | ~ class_Orderings_Opreorder(T_1) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(clsarity_fun__Orderings_Oorder,axiom,
% 0.19/0.77 ( class_Orderings_Oorder(tc_fun(T_2,T_1))
% 0.19/0.77 | ~ class_Orderings_Oorder(T_1) ) ).
% 0.19/0.77
% 0.19/0.77 cnf(clsarity_nat__Ring__and__Field_Oordered__comm__semiring__strict,axiom,
% 0.19/0.77 class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat) ).
% 0.19/0.77
% 0.19/0.77 cnf(clsarity_nat__Ring__and__Field_Opordered__cancel__semiring,axiom,
% 0.19/0.77 class_Ring__and__Field_Opordered__cancel__semiring(tc_nat) ).
% 0.19/0.77
% 0.19/0.77 cnf(clsarity_nat__Ring__and__Field_Oordered__semiring__strict,axiom,
% 0.19/0.77 class_Ring__and__Field_Oordered__semiring__strict(tc_nat) ).
% 0.19/0.77
% 0.19/0.77 cnf(clsarity_nat__Ring__and__Field_Opordered__semiring,axiom,
% 0.19/0.77 class_Ring__and__Field_Opordered__semiring(tc_nat) ).
% 0.19/0.77
% 0.19/0.77 cnf(clsarity_nat__Ring__and__Field_Oordered__semiring,axiom,
% 0.19/0.77 class_Ring__and__Field_Oordered__semiring(tc_nat) ).
% 0.19/0.77
% 0.19/0.77 cnf(clsarity_nat__Ring__and__Field_Ono__zero__divisors,axiom,
% 0.19/0.77 class_Ring__and__Field_Ono__zero__divisors(tc_nat) ).
% 0.19/0.77
% 0.19/0.77 cnf(clsarity_nat__Ring__and__Field_Ocomm__semiring__1,axiom,
% 0.19/0.77 class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ).
% 0.19/0.77
% 0.19/0.77 cnf(clsarity_nat__OrderedGroup_Oab__semigroup__mult,axiom,
% 0.19/0.77 class_OrderedGroup_Oab__semigroup__mult(tc_nat) ).
% 0.19/0.77
% 0.19/0.77 cnf(clsarity_nat__Ring__and__Field_Osemiring__0,axiom,
% 0.19/0.77 class_Ring__and__Field_Osemiring__0(tc_nat) ).
% 0.19/0.77
% 0.19/0.77 cnf(clsarity_nat__Ring__and__Field_Omult__mono1,axiom,
% 0.19/0.77 class_Ring__and__Field_Omult__mono1(tc_nat) ).
% 0.19/0.77
% 0.19/0.77 cnf(clsarity_nat__Ring__and__Field_Omult__zero,axiom,
% 0.19/0.77 class_Ring__and__Field_Omult__zero(tc_nat) ).
% 0.19/0.77
% 0.19/0.77 cnf(clsarity_nat__Ring__and__Field_Omult__mono,axiom,
% 0.19/0.77 class_Ring__and__Field_Omult__mono(tc_nat) ).
% 0.19/0.77
% 0.19/0.77 cnf(clsarity_nat__Orderings_Opreorder,axiom,
% 0.19/0.77 class_Orderings_Opreorder(tc_nat) ).
% 0.19/0.77
% 0.19/0.77 cnf(clsarity_nat__Orderings_Olinorder,axiom,
% 0.19/0.77 class_Orderings_Olinorder(tc_nat) ).
% 0.19/0.77
% 0.19/0.77 cnf(clsarity_nat__Orderings_Oorder,axiom,
% 0.19/0.77 class_Orderings_Oorder(tc_nat) ).
% 0.19/0.77
% 0.19/0.77 cnf(clsarity_bool__Lattices_Oboolean__algebra,axiom,
% 0.19/0.77 class_Lattices_Oboolean__algebra(tc_bool) ).
% 0.19/0.77
% 0.19/0.77 cnf(clsarity_bool__Orderings_Opreorder,axiom,
% 0.19/0.77 class_Orderings_Opreorder(tc_bool) ).
% 0.19/0.77
% 0.19/0.77 cnf(clsarity_bool__Orderings_Oorder,axiom,
% 0.19/0.77 class_Orderings_Oorder(tc_bool) ).
% 0.19/0.77
% 0.19/0.77 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__comm__semiring__strict,axiom,
% 0.19/0.77 class_Ring__and__Field_Oordered__comm__semiring__strict(tc_RealDef_Oreal) ).
% 0.19/0.77
% 0.19/0.77 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Opordered__cancel__semiring,axiom,
% 0.19/0.77 class_Ring__and__Field_Opordered__cancel__semiring(tc_RealDef_Oreal) ).
% 0.19/0.77
% 0.19/0.77 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__semiring__strict,axiom,
% 0.19/0.77 class_Ring__and__Field_Oordered__semiring__strict(tc_RealDef_Oreal) ).
% 0.19/0.77
% 0.19/0.77 cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__group__add__abs,axiom,
% 0.19/0.77 class_OrderedGroup_Opordered__ab__group__add__abs(tc_RealDef_Oreal) ).
% 0.19/0.77
% 0.19/0.77 cnf(clsarity_RealDef__Oreal__OrderedGroup_Olordered__ab__group__add__abs,axiom,
% 0.19/0.77 class_OrderedGroup_Olordered__ab__group__add__abs(tc_RealDef_Oreal) ).
% 0.19/0.77
% 0.19/0.77 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oring__no__zero__divisors,axiom,
% 0.19/0.77 class_Ring__and__Field_Oring__no__zero__divisors(tc_RealDef_Oreal) ).
% 0.19/0.77
% 0.19/0.77 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__ring__strict,axiom,
% 0.19/0.77 class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal) ).
% 0.19/0.77
% 0.19/0.77 cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__group__add,axiom,
% 0.19/0.77 class_OrderedGroup_Opordered__ab__group__add(tc_RealDef_Oreal) ).
% 0.19/0.77
% 0.19/0.77 cnf(clsarity_RealDef__Oreal__OrderedGroup_Olordered__ab__group__add,axiom,
% 0.19/0.77 class_OrderedGroup_Olordered__ab__group__add(tc_RealDef_Oreal) ).
% 0.19/0.77
% 0.19/0.77 cnf(clsarity_RealDef__Oreal__OrderedGroup_Oordered__ab__group__add,axiom,
% 0.19/0.77 class_OrderedGroup_Oordered__ab__group__add(tc_RealDef_Oreal) ).
% 0.19/0.77
% 0.19/0.77 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Opordered__semiring,axiom,
% 0.19/0.77 class_Ring__and__Field_Opordered__semiring(tc_RealDef_Oreal) ).
% 0.19/0.77
% 0.19/0.77 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Opordered__ring__abs,axiom,
% 0.19/0.77 class_Ring__and__Field_Opordered__ring__abs(tc_RealDef_Oreal) ).
% 0.19/0.77
% 0.19/0.77 cnf(clsarity_RealDef__Oreal__RealVector_Oreal__normed__algebra__1,axiom,
% 0.19/0.77 class_RealVector_Oreal__normed__algebra__1(tc_RealDef_Oreal) ).
% 0.19/0.77
% 0.19/0.77 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__semiring,axiom,
% 0.19/0.77 class_Ring__and__Field_Oordered__semiring(tc_RealDef_Oreal) ).
% 0.19/0.77
% 0.19/0.77 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ono__zero__divisors,axiom,
% 0.19/0.77 class_Ring__and__Field_Ono__zero__divisors(tc_RealDef_Oreal) ).
% 0.19/0.77
% 0.19/0.77 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring__1,axiom,
% 0.19/0.77 class_Ring__and__Field_Ocomm__semiring__1(tc_RealDef_Oreal) ).
% 0.19/0.77
% 0.19/0.77 cnf(clsarity_RealDef__Oreal__RealVector_Oreal__normed__algebra,axiom,
% 0.19/0.77 class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal) ).
% 0.19/0.77
% 0.19/0.77 cnf(clsarity_RealDef__Oreal__OrderedGroup_Oab__semigroup__mult,axiom,
% 0.19/0.77 class_OrderedGroup_Oab__semigroup__mult(tc_RealDef_Oreal) ).
% 0.19/0.77
% 0.19/0.77 cnf(clsarity_RealDef__Oreal__RealVector_Oreal__normed__vector,axiom,
% 0.19/0.77 class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal) ).
% 0.19/0.77
% 0.19/0.77 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Opordered__ring,axiom,
% 0.19/0.77 class_Ring__and__Field_Opordered__ring(tc_RealDef_Oreal) ).
% 0.19/0.77
% 0.19/0.77 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Olordered__ring,axiom,
% 0.19/0.77 class_Ring__and__Field_Olordered__ring(tc_RealDef_Oreal) ).
% 0.19/0.77
% 0.19/0.77 cnf(clsarity_RealDef__Oreal__RealVector_Oreal__normed__field,axiom,
% 0.19/0.77 class_RealVector_Oreal__normed__field(tc_RealDef_Oreal) ).
% 0.19/0.77
% 0.19/0.77 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__idom,axiom,
% 0.19/0.77 class_Ring__and__Field_Oordered__idom(tc_RealDef_Oreal) ).
% 0.19/0.77
% 0.19/0.77 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Osemiring__0,axiom,
% 0.19/0.77 class_Ring__and__Field_Osemiring__0(tc_RealDef_Oreal) ).
% 0.19/0.77
% 0.19/0.77 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Omult__mono1,axiom,
% 0.19/0.77 class_Ring__and__Field_Omult__mono1(tc_RealDef_Oreal) ).
% 0.19/0.77
% 0.19/0.77 cnf(clsarity_RealDef__Oreal__RealVector_Oreal__algebra__1,axiom,
% 0.19/0.77 class_RealVector_Oreal__algebra__1(tc_RealDef_Oreal) ).
% 0.19/0.77
% 0.19/0.77 cnf(clsarity_RealDef__Oreal__OrderedGroup_Oab__group__add,axiom,
% 0.19/0.77 class_OrderedGroup_Oab__group__add(tc_RealDef_Oreal) ).
% 0.19/0.77
% 0.19/0.77 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Omult__zero,axiom,
% 0.19/0.77 class_Ring__and__Field_Omult__zero(tc_RealDef_Oreal) ).
% 0.19/0.77
% 0.19/0.77 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Omult__mono,axiom,
% 0.19/0.77 class_Ring__and__Field_Omult__mono(tc_RealDef_Oreal) ).
% 0.19/0.77
% 0.19/0.77 cnf(clsarity_RealDef__Oreal__RealVector_Oreal__algebra,axiom,
% 0.19/0.77 class_RealVector_Oreal__algebra(tc_RealDef_Oreal) ).
% 0.19/0.77
% 0.19/0.77 cnf(clsarity_RealDef__Oreal__RealVector_Ometric__space,axiom,
% 0.19/0.77 class_RealVector_Ometric__space(tc_RealDef_Oreal) ).
% 0.19/0.77
% 0.19/0.77 cnf(clsarity_RealDef__Oreal__RealVector_Oreal__vector,axiom,
% 0.19/0.77 class_RealVector_Oreal__vector(tc_RealDef_Oreal) ).
% 0.19/0.77
% 0.19/0.77 cnf(clsarity_RealDef__Oreal__OrderedGroup_Ogroup__add,axiom,
% 0.19/0.77 class_OrderedGroup_Ogroup__add(tc_RealDef_Oreal) ).
% 0.19/0.77
% 0.19/0.77 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oabs__if,axiom,
% 0.19/0.77 class_Ring__and__Field_Oabs__if(tc_RealDef_Oreal) ).
% 0.19/0.77
% 0.19/0.77 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oring,axiom,
% 0.19/0.77 class_Ring__and__Field_Oring(tc_RealDef_Oreal) ).
% 0.19/0.77
% 0.19/0.77 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oidom,axiom,
% 0.19/0.77 class_Ring__and__Field_Oidom(tc_RealDef_Oreal) ).
% 0.19/0.77
% 0.19/0.77 cnf(clsarity_RealDef__Oreal__Orderings_Opreorder,axiom,
% 0.19/0.77 class_Orderings_Opreorder(tc_RealDef_Oreal) ).
% 0.19/0.77
% 0.19/0.77 cnf(clsarity_RealDef__Oreal__Orderings_Olinorder,axiom,
% 0.19/0.77 class_Orderings_Olinorder(tc_RealDef_Oreal) ).
% 0.19/0.77
% 0.19/0.77 cnf(clsarity_RealDef__Oreal__Orderings_Oorder,axiom,
% 0.19/0.77 class_Orderings_Oorder(tc_RealDef_Oreal) ).
% 0.19/0.77
% 0.19/0.77 cnf(clsarity_RealDef__Oreal__SEQ_Obanach,axiom,
% 0.19/0.77 class_SEQ_Obanach(tc_RealDef_Oreal) ).
% 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__RealVector_Oreal__normed__algebra__1,axiom,
% 0.19/0.77 class_RealVector_Oreal__normed__algebra__1(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_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__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__RealVector_Oreal__normed__vector,axiom,
% 0.19/0.77 class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) ).
% 0.19/0.77
% 0.19/0.77 cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__field,axiom,
% 0.19/0.77 class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex) ).
% 0.19/0.77
% 0.19/0.77 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Osemiring__0,axiom,
% 0.19/0.77 class_Ring__and__Field_Osemiring__0(tc_Complex_Ocomplex) ).
% 0.19/0.77
% 0.19/0.77 cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__algebra__1,axiom,
% 0.19/0.77 class_RealVector_Oreal__algebra__1(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__RealVector_Oreal__algebra,axiom,
% 0.19/0.77 class_RealVector_Oreal__algebra(tc_Complex_Ocomplex) ).
% 0.19/0.77
% 0.19/0.77 cnf(clsarity_Complex__Ocomplex__RealVector_Ometric__space,axiom,
% 0.19/0.77 class_RealVector_Ometric__space(tc_Complex_Ocomplex) ).
% 0.19/0.77
% 0.19/0.77 cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__vector,axiom,
% 0.19/0.77 class_RealVector_Oreal__vector(tc_Complex_Ocomplex) ).
% 0.19/0.77
% 0.19/0.77 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ogroup__add,axiom,
% 0.19/0.77 class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex) ).
% 0.19/0.77
% 0.19/0.77 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Oring,axiom,
% 0.19/0.77 class_Ring__and__Field_Oring(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__SEQ_Obanach,axiom,
% 0.19/0.77 class_SEQ_Obanach(tc_Complex_Ocomplex) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_ATP__Linkup_Oequal__imp__fequal_0,axiom,
% 0.19/0.77 c_fequal(V_x,V_x,T_a) ).
% 0.19/0.77
% 0.19/0.77 cnf(cls_ATP__Linkup_Ofequal__imp__equal_0,axiom,
% 0.19/0.77 ( V_X = V_Y
% 0.19/0.77 | ~ c_fequal(V_X,V_Y,T_a) ) ).
% 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:738(EqnAxiom:143)
% 0.19/0.77 %VarNum:3963(SingletonVarNum:1322)
% 0.19/0.77 %MaxLitNum:6
% 0.19/0.77 %MaxfuncDepth:4
% 0.19/0.77 %SharedTerms:115
% 0.19/0.77 %goalClause: 268
% 0.19/0.77 %singleGoalClaCount:1
% 0.19/0.77 [144]P1(a1)
% 0.19/0.77 [145]P1(a23)
% 0.19/0.77 [146]P2(a1)
% 0.19/0.77 [147]P31(a1)
% 0.19/0.77 [148]P31(a23)
% 0.19/0.77 [149]P32(a1)
% 0.19/0.77 [150]P32(a23)
% 0.19/0.77 [151]P54(a1)
% 0.19/0.77 [152]P33(a1)
% 0.19/0.77 [153]P33(a2)
% 0.19/0.77 [154]P34(a1)
% 0.19/0.77 [155]P34(a2)
% 0.19/0.77 [156]P35(a1)
% 0.19/0.77 [157]P35(a2)
% 0.19/0.77 [158]P40(a1)
% 0.19/0.77 [159]P40(a2)
% 0.19/0.77 [160]P48(a1)
% 0.19/0.77 [161]P55(a1)
% 0.19/0.77 [162]P55(a23)
% 0.19/0.77 [163]P3(a1)
% 0.19/0.77 [164]P3(a2)
% 0.19/0.77 [165]P3(a23)
% 0.19/0.77 [166]P43(a1)
% 0.19/0.77 [167]P43(a2)
% 0.19/0.77 [168]P43(a23)
% 0.19/0.77 [169]P26(a1)
% 0.19/0.77 [170]P46(a1)
% 0.19/0.77 [171]P46(a2)
% 0.19/0.77 [172]P56(a1)
% 0.19/0.77 [173]P56(a2)
% 0.19/0.77 [174]P57(a1)
% 0.19/0.77 [175]P57(a23)
% 0.19/0.77 [176]P30(a1)
% 0.19/0.77 [177]P44(a1)
% 0.19/0.77 [178]P44(a2)
% 0.19/0.77 [179]P39(a1)
% 0.19/0.77 [180]P39(a2)
% 0.19/0.77 [181]P27(a1)
% 0.19/0.77 [182]P49(a1)
% 0.19/0.77 [183]P58(a1)
% 0.19/0.77 [184]P28(a1)
% 0.19/0.77 [185]P28(a2)
% 0.19/0.77 [186]P59(a1)
% 0.19/0.77 [187]P59(a2)
% 0.19/0.77 [188]P50(a1)
% 0.19/0.77 [189]P50(a2)
% 0.19/0.77 [190]P50(a23)
% 0.19/0.77 [191]P45(a1)
% 0.19/0.77 [192]P36(a1)
% 0.19/0.77 [193]P36(a23)
% 0.19/0.77 [194]P29(a1)
% 0.19/0.77 [195]P53(a1)
% 0.19/0.77 [196]P53(a23)
% 0.19/0.77 [197]P47(a1)
% 0.19/0.77 [198]P52(a1)
% 0.19/0.77 [199]P52(a23)
% 0.19/0.77 [200]P51(a1)
% 0.19/0.77 [201]P51(a2)
% 0.19/0.77 [202]P51(a23)
% 0.19/0.77 [203]P60(a1)
% 0.19/0.77 [204]P60(a2)
% 0.19/0.77 [205]P61(a1)
% 0.19/0.77 [206]P61(a2)
% 0.19/0.77 [207]P61(a23)
% 0.19/0.77 [208]P41(a1)
% 0.19/0.77 [209]P41(a2)
% 0.19/0.77 [210]P42(a1)
% 0.19/0.77 [211]P42(a2)
% 0.19/0.77 [212]P4(a1)
% 0.19/0.77 [213]P4(a2)
% 0.19/0.77 [214]P5(a24)
% 0.19/0.77 [215]P37(a1)
% 0.19/0.77 [216]P37(a23)
% 0.19/0.77 [217]P37(a24)
% 0.19/0.77 [218]P38(a1)
% 0.19/0.77 [219]P38(a23)
% 0.19/0.77 [220]P38(a24)
% 0.19/0.77 [236]P7(a4,a2,a1)
% 0.19/0.77 [237]P7(a8,a2,a1)
% 0.19/0.77 [268]~P62(a500)
% 0.19/0.77 [221]P6(f27(a26))
% 0.19/0.77 [223]E(f19(a4,f6(a2)),f6(a1))
% 0.19/0.77 [224]E(f19(a7,f6(a2)),f6(a2))
% 0.19/0.77 [225]E(f19(a8,f6(a2)),f6(a1))
% 0.19/0.77 [227]E(f9(f6(a1),f6(a1)),f6(a2))
% 0.19/0.77 [266]P12(f5(a8,f5(a26,f27(a26),a23,a2,a23),a2,a1,a23))
% 0.19/0.77 [238]P21(x2381,x2381,a1)
% 0.19/0.77 [240]P21(x2401,x2401,a23)
% 0.19/0.77 [253]P8(a4,x2531,a2,a1)
% 0.19/0.77 [254]P8(a8,x2541,a2,a1)
% 0.19/0.78 [270]~P10(x2701,x2701,a23)
% 0.19/0.78 [222]P6(f3(x2221))
% 0.19/0.78 [255]P9(a4,x2551,f19(a4,x2551),a2,a1)
% 0.19/0.78 [256]P9(a8,x2561,f19(a8,x2561),a2,a1)
% 0.19/0.78 [229]E(f19(f15(a2),x2291),f9(x2291,f6(a1)))
% 0.19/0.78 [230]E(f19(a7,f19(a7,x2301)),x2301)
% 0.19/0.78 [235]E(f19(a8,f19(a7,x2351)),f19(a8,x2351))
% 0.19/0.78 [242]E(f9(f19(a8,x2421),f19(a4,x2421)),x2421)
% 0.19/0.78 [244]E(f19(f10(a1),f19(a4,x2441)),f19(a4,f19(a7,x2441)))
% 0.19/0.78 [257]P12(f5(x2571,f3(x2571),a23,a1,a23))
% 0.19/0.78 [233]E(f19(a8,f19(f15(a2),x2331)),x2331)
% 0.19/0.78 [234]E(f19(a4,f19(f15(a2),x2341)),f6(a1))
% 0.19/0.78 [243]E(f19(a7,f19(f15(a2),x2431)),f19(f15(a2),x2431))
% 0.19/0.78 [246]E(f19(f10(a1),f19(a4,x2461)),f19(a4,f19(f10(a2),x2461)))
% 0.19/0.78 [247]E(f19(f10(a2),f19(a7,x2471)),f19(a7,f19(f10(a2),x2471)))
% 0.19/0.78 [248]E(f19(f10(a1),f19(a8,x2481)),f19(a8,f19(f10(a2),x2481)))
% 0.19/0.78 [251]E(f9(f19(a8,x2511),f19(f10(a1),f19(a4,x2511))),f19(a7,x2511))
% 0.19/0.78 [252]E(f9(f19(f10(a1),f19(a8,x2521)),f19(f10(a1),f19(a4,x2521))),f19(f10(a2),x2521))
% 0.19/0.78 [241]P22(x2411,x2411,x2412)
% 0.19/0.78 [231]E(f19(a4,f9(x2311,x2312)),x2312)
% 0.19/0.78 [232]E(f19(a8,f9(x2321,x2322)),x2321)
% 0.19/0.78 [245]E(f9(x2451,f19(f10(a1),x2452)),f19(a7,f9(x2451,x2452)))
% 0.19/0.78 [250]E(f9(f19(f10(a1),x2501),f19(f10(a1),x2502)),f19(f10(a2),f9(x2501,x2502)))
% 0.19/0.78 [261]E(f12(f5(a4,x2611,a2,a1,x2612),x2613,x2612,a1),f19(a4,f12(x2611,x2613,x2612,a2)))
% 0.19/0.78 [262]E(f12(f5(a7,x2621,a2,a2,x2622),x2623,x2622,a2),f19(a7,f12(x2621,x2623,x2622,a2)))
% 0.19/0.78 [263]E(f12(f5(a8,x2631,a2,a1,x2632),x2633,x2632,a1),f19(a8,f12(x2631,x2633,x2632,a2)))
% 0.19/0.78 [259]E(f19(f5(x2591,x2592,x2593,x2594,x2595),x2596),f19(x2591,f19(x2592,x2596)))
% 0.19/0.78 [260]E(f19(f11(x2601,x2602,x2603,x2604,x2605),x2606),f19(x2601,f19(x2602,x2606)))
% 0.19/0.78 [264]E(f20(x2641,f20(x2642,x2643,x2644,x2645),x2645,x2646),f20(f5(x2641,x2642,x2645,x2646,x2644),x2643,x2644,x2646))
% 0.19/0.78 [265]E(f20(f11(x2651,x2652,x2653,x2654,x2655),x2656,x2655,x2654),f20(x2651,f20(x2652,x2656,x2655,x2653),x2653,x2654))
% 0.19/0.78 [267]E(f11(x2671,f11(x2672,x2673,x2674,x2675,x2676),x2675,x2677,x2676),f11(f11(x2671,x2672,x2675,x2677,x2674),x2673,x2674,x2677,x2676))
% 0.19/0.78 [271]~P13(x2711)+P12(x2711)
% 0.19/0.78 [272]~P14(x2721)+P12(x2721)
% 0.19/0.78 [273]E(x2731,f6(a2))+~E(f19(a7,x2731),f6(a2))
% 0.19/0.78 [608]~P23(x6081,a2)+P23(f5(a4,x6081,a2,a1,a23),a1)
% 0.19/0.78 [609]~P23(x6091,a2)+P23(f5(a7,x6091,a2,a2,a23),a2)
% 0.19/0.78 [610]~P23(x6101,a2)+P23(f5(a8,x6101,a2,a1,a23),a1)
% 0.19/0.78 [611]~P20(x6111,a2)+P20(f5(a4,x6111,a2,a1,a23),a1)
% 0.19/0.78 [612]~P20(x6121,a2)+P20(f5(a7,x6121,a2,a2,a23),a2)
% 0.19/0.78 [613]~P20(x6131,a2)+P20(f5(a8,x6131,a2,a1,a23),a1)
% 0.19/0.78 [614]~P19(x6141,a2)+P19(f5(a4,x6141,a2,a1,a23),a1)
% 0.19/0.78 [615]~P19(x6151,a2)+P19(f5(a7,x6151,a2,a2,a23),a2)
% 0.19/0.78 [616]~P19(x6161,a2)+P19(f5(a8,x6161,a2,a1,a23),a1)
% 0.19/0.78 [276]~P34(x2761)+E(f19(f15(x2761),f6(a1)),f6(x2761))
% 0.19/0.78 [277]~P33(x2771)+E(f19(f16(x2771),f6(x2771)),f6(a1))
% 0.19/0.78 [282]~P26(x2821)+E(f19(f10(x2821),f6(x2821)),f6(x2821))
% 0.19/0.78 [283]~P28(x2831)+E(f19(f10(x2831),f6(x2831)),f6(x2831))
% 0.19/0.78 [284]~P2(x2841)+E(f19(f13(x2841),f6(x2841)),f6(x2841))
% 0.19/0.78 [362]~P33(x3621)+P21(f19(f16(x3621),f6(x3621)),f6(a1),a1)
% 0.19/0.78 [369]~P2(x3691)+P21(f19(f13(x3691),f6(x3691)),f6(x3691),x3691)
% 0.19/0.78 [424]~P2(x4241)+~P10(f6(x4241),f19(f13(x4241),f6(x4241)),x4241)
% 0.19/0.78 [606]~P12(x6061)+P12(f5(f10(a1),x6061,a1,a1,a23))
% 0.19/0.78 [607]~P14(x6071)+P13(f5(f10(a1),x6071,a1,a1,a23))
% 0.19/0.78 [624]~P23(x6241,a2)+E(f21(f5(a4,x6241,a2,a1,a23),a1),f19(a4,f21(x6241,a2)))
% 0.19/0.78 [625]~P23(x6251,a2)+E(f21(f5(a7,x6251,a2,a2,a23),a2),f19(a7,f21(x6251,a2)))
% 0.19/0.78 [626]~P23(x6261,a2)+E(f21(f5(a8,x6261,a2,a1,a23),a1),f19(a8,f21(x6261,a2)))
% 0.19/0.78 [689]P14(x6891)+~P13(f5(f10(a1),x6891,a1,a1,a23))
% 0.19/0.78 [307]~P37(x3072)+P21(x3071,x3071,x3072)
% 0.19/0.78 [308]~P38(x3082)+P21(x3081,x3081,x3082)
% 0.19/0.78 [341]~P10(x3412,x3412,x3411)+~P36(x3411)
% 0.19/0.78 [342]~P10(x3422,x3422,x3421)+~P37(x3421)
% 0.19/0.78 [343]~P10(x3432,x3432,x3431)+~P38(x3431)
% 0.19/0.78 [350]P21(x3502,x3501,a1)+P21(x3501,x3502,a1)
% 0.19/0.78 [351]P21(x3512,x3511,a23)+P21(x3511,x3512,a23)
% 0.19/0.78 [379]~P10(x3791,x3792,a23)+P21(x3791,x3792,a23)
% 0.19/0.78 [274]E(x2741,f6(a1))+~E(f9(x2742,x2741),f6(a2))
% 0.19/0.78 [275]E(x2751,f6(a1))+~E(f9(x2751,x2752),f6(a2))
% 0.19/0.78 [278]~P5(x2782)+P5(f25(x2781,x2782))
% 0.19/0.78 [279]~P37(x2792)+P37(f25(x2791,x2792))
% 0.19/0.78 [280]~P38(x2802)+P38(f25(x2801,x2802))
% 0.19/0.78 [285]E(x2851,x2852)+~E(f19(a7,x2851),f19(a7,x2852))
% 0.19/0.78 [328]~P6(x3282)+P21(x3281,f19(x3282,x3281),a23)
% 0.19/0.78 [334]~P40(x3342)+P15(f14(x3341,x3342),x3342,x3342)
% 0.19/0.78 [335]~P33(x3352)+P15(f18(x3351,x3352),x3352,x3352)
% 0.19/0.78 [336]~P40(x3362)+P7(f14(x3361,x3362),x3362,x3362)
% 0.19/0.78 [337]~P33(x3372)+P7(f18(x3371,x3372),x3372,x3372)
% 0.19/0.78 [642]~P18(x6421,x6422,a2)+P18(f5(a4,x6421,a2,a1,a23),f19(a4,x6422),a1)
% 0.19/0.78 [643]~P18(x6431,x6432,a2)+P18(f5(a7,x6431,a2,a2,a23),f19(a7,x6432),a2)
% 0.19/0.78 [644]~P18(x6441,x6442,a2)+P18(f5(a8,x6441,a2,a1,a23),f19(a8,x6442),a1)
% 0.19/0.78 [645]~P24(x6451,x6452,a2)+P24(f5(a4,x6451,a2,a1,a23),f19(a4,x6452),a1)
% 0.19/0.78 [646]~P24(x6461,x6462,a2)+P24(f5(a7,x6461,a2,a2,a23),f19(a7,x6462),a2)
% 0.19/0.78 [647]~P24(x6471,x6472,a2)+P24(f5(a8,x6471,a2,a1,a23),f19(a8,x6472),a1)
% 0.19/0.78 [290]~P25(x2902)+E(f19(f14(x2901,x2902),x2901),x2901)
% 0.19/0.78 [299]~P40(x2992)+E(f19(f14(x2991,x2992),f6(x2992)),f6(x2992))
% 0.19/0.78 [300]~P43(x3002)+E(f19(f14(x3001,x3002),f6(x3002)),f6(x3002))
% 0.19/0.78 [301]~P59(x3012)+E(f19(f14(x3011,x3012),f6(x3012)),f6(x3012))
% 0.19/0.78 [302]~P51(x3022)+E(f19(f14(x3021,x3022),f6(x3022)),f6(x3022))
% 0.19/0.78 [303]~P33(x3032)+E(f19(f18(x3031,x3032),f6(x3032)),f6(x3032))
% 0.19/0.78 [304]~P44(x3042)+E(f19(f18(x3041,x3042),f6(x3042)),f6(x3042))
% 0.19/0.78 [347]~P2(x3472)+P21(x3471,f19(f13(x3472),x3471),x3472)
% 0.19/0.78 [348]~P33(x3481)+P21(f6(a1),f19(f16(x3481),x3482),a1)
% 0.19/0.78 [349]~P2(x3491)+P21(f6(x3491),f19(f13(x3491),x3492),x3491)
% 0.19/0.78 [380]~P2(x3801)+P21(f19(f10(x3801),x3802),f19(f13(x3801),x3802),x3801)
% 0.19/0.78 [389]~P48(x3891)+P21(f6(x3891),f19(f14(x3892,x3891),x3892),x3891)
% 0.19/0.78 [404]~P2(x4041)+~P10(f19(f13(x4041),x4042),f6(x4041),x4041)
% 0.19/0.78 [470]~P48(x4701)+~P10(f19(f14(x4702,x4701),x4702),f6(x4701),x4701)
% 0.19/0.78 [305]~P33(x3051)+E(f19(f18(f6(a1),x3051),x3052),f6(x3051))
% 0.19/0.78 [306]~P44(x3061)+E(f19(f18(f6(a1),x3061),x3062),f6(x3061))
% 0.19/0.78 [310]~P40(x3101)+E(f19(f14(f6(x3101),x3101),x3102),f6(x3101))
% 0.19/0.78 [312]~P43(x3121)+E(f19(f14(f6(x3121),x3121),x3122),f6(x3121))
% 0.19/0.78 [313]~P59(x3131)+E(f19(f14(f6(x3131),x3131),x3132),f6(x3131))
% 0.19/0.78 [314]~P51(x3141)+E(f19(f14(f6(x3141),x3141),x3142),f6(x3141))
% 0.19/0.78 [318]~P28(x3181)+E(f19(f10(x3181),f19(f10(x3181),x3182)),x3182)
% 0.19/0.78 [319]~P5(x3191)+E(f19(f10(x3191),f19(f10(x3191),x3192)),x3192)
% 0.19/0.78 [324]~P2(x3241)+E(f19(f13(x3241),f19(f10(x3241),x3242)),f19(f13(x3241),x3242))
% 0.19/0.78 [325]~P2(x3251)+E(f19(f13(x3251),f19(f13(x3251),x3252)),f19(f13(x3251),x3252))
% 0.19/0.78 [326]~P33(x3261)+E(f19(f16(x3261),f19(f10(x3261),x3262)),f19(f16(x3261),x3262))
% 0.19/0.78 [368]~P34(x3681)+E(f19(f10(x3681),f19(f15(x3681),x3682)),f19(f15(x3681),f19(f10(a1),x3682)))
% 0.19/0.78 [425]~P2(x4251)+P21(f19(f10(x4251),f19(f13(x4251),x4252)),f6(x4251),x4251)
% 0.19/0.78 [442]~P46(x4421)+E(f19(f14(f19(f10(x4421),x4422),x4421),f19(f10(x4421),x4422)),f19(f14(x4422,x4421),x4422))
% 0.19/0.78 [443]~P49(x4431)+E(f19(f14(f19(f13(x4431),x4432),x4431),f19(f13(x4431),x4432)),f19(f14(x4432,x4431),x4432))
% 0.19/0.78 [338]E(x3381,x3382)+~P22(x3381,x3382,x3383)
% 0.19/0.78 [501]~P40(x5012)+P8(f14(x5011,x5012),x5013,x5012,x5012)
% 0.19/0.78 [502]~P33(x5022)+P8(f18(x5021,x5022),x5023,x5022,x5022)
% 0.19/0.78 [668]~P16(x6681,x6683,x6682,a2)+P16(f5(a4,x6681,a2,a1,x6682),x6683,x6682,a1)
% 0.19/0.78 [669]~P16(x6691,x6693,x6692,a2)+P16(f5(a7,x6691,a2,a2,x6692),x6693,x6692,a2)
% 0.19/0.78 [670]~P16(x6701,x6703,x6702,a2)+P16(f5(a8,x6701,a2,a1,x6702),x6703,x6702,a1)
% 0.19/0.78 [296]E(x2961,x2962)+~E(f9(x2961,x2963),f19(f15(a2),x2962))
% 0.19/0.78 [297]E(x2971,f6(a1))+~E(f9(x2972,x2971),f19(f15(a2),x2973))
% 0.19/0.78 [330]~P43(x3302)+E(f19(f14(x3301,x3302),x3303),f19(f14(x3303,x3302),x3301))
% 0.19/0.78 [345]~P44(x3452)+E(f19(f18(x3451,x3452),f6(x3452)),f19(f18(x3453,x3452),f6(x3452)))
% 0.19/0.78 [601]~P40(x6012)+P9(f14(x6011,x6012),x6013,f19(f14(x6011,x6012),x6013),x6012,x6012)
% 0.19/0.78 [602]~P33(x6022)+P9(f18(x6021,x6022),x6023,f19(f18(x6021,x6022),x6023),x6022,x6022)
% 0.19/0.78 [346]~P44(x3461)+E(f19(f18(f6(a1),x3461),x3462),f19(f18(f6(a1),x3461),x3463))
% 0.19/0.78 [406]~P25(x4062)+E(f19(f14(x4061,x4062),f19(f14(x4061,x4062),x4063)),f19(f14(x4061,x4062),x4063))
% 0.19/0.78 [426]~P56(x4262)+E(f19(f14(x4261,x4262),f19(f10(x4262),x4263)),f19(f10(x4262),f19(f14(x4261,x4262),x4263)))
% 0.19/0.78 [428]~P40(x4282)+E(f19(f14(x4281,x4282),f19(f10(x4282),x4283)),f19(f10(x4282),f19(f14(x4281,x4282),x4283)))
% 0.19/0.78 [429]~P33(x4292)+E(f19(f18(x4291,x4292),f19(f10(x4292),x4293)),f19(f10(x4292),f19(f18(x4291,x4292),x4293)))
% 0.19/0.78 [430]~P44(x4302)+E(f19(f18(x4301,x4302),f19(f10(x4302),x4303)),f19(f10(x4302),f19(f18(x4301,x4302),x4303)))
% 0.19/0.78 [441]~P56(x4411)+E(f19(f14(f19(f10(x4411),x4412),x4411),f19(f10(x4411),x4413)),f19(f14(x4412,x4411),x4413))
% 0.19/0.78 [498]~P49(x4981)+E(f19(f14(f19(f13(x4981),x4982),x4981),f19(f13(x4981),x4983)),f19(f13(x4981),f19(f14(x4982,x4981),x4983)))
% 0.19/0.78 [591]~P47(x5911)+P21(f19(f13(x5911),f19(f14(x5912,x5911),x5913)),f19(f14(f19(f13(x5911),x5912),x5911),f19(f13(x5911),x5913)),x5911)
% 0.19/0.78 [405]~P34(x4051)+E(f19(f14(f19(f15(x4051),x4052),x4051),x4053),f19(f18(x4052,x4051),x4053))
% 0.19/0.78 [440]~P56(x4401)+E(f19(f14(f19(f10(x4401),x4402),x4401),x4403),f19(f14(x4402,x4401),f19(f10(x4401),x4403)))
% 0.19/0.78 [451]~P33(x4512)+E(f19(f18(f19(f10(a1),x4511),x4512),x4513),f19(f10(x4512),f19(f18(x4511,x4512),x4513)))
% 0.19/0.78 [453]~P44(x4532)+E(f19(f18(f19(f10(a1),x4531),x4532),x4533),f19(f10(x4532),f19(f18(x4531,x4532),x4533)))
% 0.19/0.78 [461]~P56(x4611)+E(f19(f14(f19(f10(x4611),x4612),x4611),x4613),f19(f10(x4611),f19(f14(x4612,x4611),x4613)))
% 0.19/0.78 [463]~P40(x4631)+E(f19(f14(f19(f10(x4631),x4632),x4631),x4633),f19(f10(x4631),f19(f14(x4632,x4631),x4633)))
% 0.19/0.78 [288]E(x2881,x2882)+~E(f9(x2883,x2881),f9(x2884,x2882))
% 0.19/0.78 [289]E(x2891,x2892)+~E(f9(x2891,x2893),f9(x2892,x2894))
% 0.19/0.78 [704]~P17(x7041,x7043,x7044,x7042,a2)+P17(f5(a4,x7041,a2,a1,x7042),f19(a4,x7043),x7044,x7042,a1)
% 0.19/0.78 [705]~P17(x7051,x7053,x7054,x7052,a2)+P17(f5(a7,x7051,a2,a2,x7052),f19(a7,x7053),x7054,x7052,a2)
% 0.19/0.78 [706]~P17(x7061,x7063,x7064,x7062,a2)+P17(f5(a8,x7061,a2,a1,x7062),f19(a8,x7063),x7064,x7062,a1)
% 0.19/0.78 [479]~P43(x4792)+E(f19(f14(x4791,x4792),f19(f14(x4793,x4792),x4794)),f19(f14(x4793,x4792),f19(f14(x4791,x4792),x4794)))
% 0.19/0.78 [481]~P40(x4812)+E(f19(f18(x4811,x4812),f19(f14(x4813,x4812),x4814)),f19(f14(x4813,x4812),f19(f18(x4811,x4812),x4814)))
% 0.19/0.78 [482]~P39(x4822)+E(f19(f18(x4821,x4822),f19(f14(x4823,x4822),x4824)),f19(f14(x4823,x4822),f19(f18(x4821,x4822),x4824)))
% 0.19/0.78 [484]~P33(x4842)+E(f19(f18(x4841,x4842),f19(f18(x4843,x4842),x4844)),f19(f18(x4843,x4842),f19(f18(x4841,x4842),x4844)))
% 0.19/0.78 [485]~P44(x4852)+E(f19(f18(x4851,x4852),f19(f18(x4853,x4852),x4854)),f19(f18(x4853,x4852),f19(f18(x4851,x4852),x4854)))
% 0.19/0.78 [682]~P4(x6821)+E(f12(f5(f10(x6821),x6822,x6821,x6821,x6823),x6824,x6823,x6821),f19(f10(x6821),f12(x6822,x6824,x6823,x6821)))
% 0.19/0.78 [700]~P2(x7001)+P21(f6(x7001),f12(f5(f13(x7001),x7002,x7001,x7001,x7003),x7004,x7003,x7001),x7001)
% 0.19/0.78 [730]~P33(x7301)+P21(f19(f16(x7301),f12(x7302,x7303,x7304,x7301)),f12(f5(f16(x7301),x7302,x7301,a1,x7304),x7303,x7304,a1),a1)
% 0.19/0.78 [731]~P2(x7311)+P21(f19(f13(x7311),f12(x7312,x7313,x7314,x7311)),f12(f5(f13(x7311),x7312,x7311,x7311,x7314),x7313,x7314,x7311),x7311)
% 0.19/0.78 [506]~P3(x5062)+E(f19(f14(f19(f14(x5061,x5062),x5063),x5062),x5064),f19(f14(x5061,x5062),f19(f14(x5063,x5062),x5064)))
% 0.19/0.78 [507]~P43(x5072)+E(f19(f14(f19(f14(x5071,x5072),x5073),x5072),x5074),f19(f14(x5071,x5072),f19(f14(x5073,x5072),x5074)))
% 0.19/0.78 [509]~P40(x5092)+E(f19(f14(f19(f18(x5091,x5092),x5093),x5092),x5094),f19(f18(x5091,x5092),f19(f14(x5093,x5092),x5094)))
% 0.19/0.78 [510]~P39(x5102)+E(f19(f14(f19(f18(x5101,x5102),x5103),x5102),x5104),f19(f18(x5101,x5102),f19(f14(x5103,x5102),x5104)))
% 0.19/0.78 [547]~P43(x5472)+E(f19(f14(f19(f14(x5471,x5472),x5473),x5472),x5474),f19(f14(f19(f14(x5471,x5472),x5474),x5472),x5473))
% 0.19/0.78 [736]~P2(x7361)+E(f19(f13(x7361),f12(f5(f13(x7361),x7362,x7361,x7361,x7363),x7364,x7363,x7361)),f12(f5(f13(x7361),x7362,x7361,x7361,x7363),x7364,x7363,x7361))
% 0.19/0.78 [590]~P43(x5902)+E(f19(f14(f19(f14(x5901,x5902),x5903),x5902),f19(f14(x5904,x5902),x5905)),f19(f14(f19(f14(x5901,x5902),x5904),x5902),f19(f14(x5903,x5902),x5905)))
% 0.19/0.78 [684]~P40(x6842)+E(f12(f5(f14(x6841,x6842),x6843,x6842,x6842,x6844),x6845,x6844,x6842),f19(f14(x6841,x6842),f12(x6843,x6845,x6844,x6842)))
% 0.19/0.78 [685]~P61(x6852)+E(f12(f5(f14(x6851,x6852),x6853,x6852,x6852,x6854),x6855,x6854,x6852),f19(f14(x6851,x6852),f12(x6853,x6855,x6854,x6852)))
% 0.19/0.78 [686]~P44(x6862)+E(f12(f5(f18(x6861,x6862),x6863,x6862,x6862,x6864),x6865,x6864,x6862),f19(f18(x6861,x6862),f12(x6863,x6865,x6864,x6862)))
% 0.19/0.78 [693]~E(f11(x6931,x6932,x6936,x6937,x6938),f11(x6934,x6935,x6939,x6937,x6938))+E(f19(x6931,f19(x6932,x6933)),f19(x6934,f19(x6935,x6933)))
% 0.19/0.78 [699]~E(f19(x6991,f19(x6992,x6996)),f19(x6997,f19(x6998,x69911)))+E(f19(f11(x6991,x6992,x6993,x6994,x6995),x6996),f19(f11(x6997,x6998,x6999,x6994,x69910),x69911))
% 0.19/0.78 [738]~P6(x7381)+P62(a500)+~P12(f5(a8,f5(a26,x7381,a23,a2,a23),a2,a1,a23))
% 0.19/0.78 [358]E(x3581,x3582)+P10(x3582,x3581,a23)+P10(x3581,x3582,a23)
% 0.19/0.78 [384]E(x3841,x3842)+P10(x3841,x3842,a23)+~P21(x3841,x3842,a23)
% 0.19/0.78 [408]E(x4081,x4082)+~P21(x4082,x4081,a1)+~P21(x4081,x4082,a1)
% 0.19/0.78 [409]E(x4091,x4092)+~P21(x4092,x4091,a23)+~P21(x4091,x4092,a23)
% 0.19/0.78 [323]E(x3231,x3232)+~E(f19(a4,x3231),f19(a4,x3232))+~E(f19(a8,x3231),f19(a8,x3232))
% 0.19/0.78 [340]~P33(x3402)+~P23(x3401,x3402)+P18(x3401,f6(x3402),x3402)
% 0.19/0.78 [360]~P33(x3602)+~P23(x3601,x3602)+P24(x3601,f21(x3601,x3602),x3602)
% 0.19/0.78 [287]~P26(x2872)+E(x2871,f6(x2872))+~E(f19(f10(x2872),x2871),x2871)
% 0.19/0.78 [291]~P33(x2912)+E(x2911,f6(x2912))+~E(f19(f16(x2912),x2911),f6(a1))
% 0.19/0.78 [292]~P34(x2922)+E(x2921,f6(a1))+~E(f19(f15(x2922),x2921),f6(x2922))
% 0.19/0.78 [293]~P28(x2932)+E(x2931,f6(x2932))+~E(f19(f10(x2932),x2931),f6(x2932))
% 0.19/0.78 [294]~P2(x2942)+E(x2941,f6(x2942))+~E(f19(f13(x2942),x2941),f6(x2942))
% 0.19/0.78 [295]~P28(x2951)+E(f6(x2951),x2952)+~E(f19(f10(x2951),x2952),f6(x2951))
% 0.19/0.78 [339]~P45(x3391)+P10(x3392,f6(x3391),x3391)+E(f19(f13(x3391),x3392),x3392)
% 0.19/0.78 [361]~P2(x3612)+E(x3611,f6(x3612))+P10(f6(x3612),f19(f13(x3612),x3611),x3612)
% 0.19/0.78 [375]~P2(x3751)+~P10(f6(x3751),x3752,x3751)+E(f19(f13(x3751),x3752),x3752)
% 0.19/0.78 [376]~P2(x3761)+~P21(f6(x3761),x3762,x3761)+E(f19(f13(x3761),x3762),x3762)
% 0.19/0.78 [386]~P2(x3861)+~P10(x3862,f6(x3861),x3861)+E(f19(f13(x3861),x3862),f19(f10(x3861),x3862))
% 0.19/0.78 [387]~P2(x3871)+~P21(x3872,f6(x3871),x3871)+E(f19(f13(x3871),x3872),f19(f10(x3871),x3872))
% 0.19/0.78 [388]~P45(x3881)+~P10(x3882,f6(x3881),x3881)+E(f19(f13(x3881),x3882),f19(f10(x3881),x3882))
% 0.19/0.78 [403]~P33(x4032)+E(x4031,f6(x4032))+~P21(f19(f16(x4032),x4031),f6(a1),a1)
% 0.19/0.78 [407]~P2(x4072)+E(x4071,f6(x4072))+~P21(f19(f13(x4072),x4071),f6(x4072),x4072)
% 0.19/0.78 [432]~P49(x4322)+~P10(x4321,f6(x4322),x4322)+P10(x4321,f19(f10(x4322),x4321),x4322)
% 0.19/0.78 [433]~P26(x4332)+~P21(x4331,f6(x4332),x4332)+P21(x4331,f19(f10(x4332),x4331),x4332)
% 0.19/0.78 [434]~P27(x4342)+~P21(x4341,f6(x4342),x4342)+P21(x4341,f19(f10(x4342),x4341),x4342)
% 0.19/0.78 [435]~P26(x4351)+~P21(f6(x4351),x4352,x4351)+P21(f19(f10(x4351),x4352),x4352,x4351)
% 0.19/0.78 [436]~P27(x4361)+~P21(f6(x4361),x4362,x4361)+P21(f19(f10(x4361),x4362),x4362,x4361)
% 0.19/0.78 [444]~P30(x4441)+~P10(x4442,f6(x4441),x4441)+P10(f6(x4441),f19(f10(x4441),x4442),x4441)
% 0.19/0.78 [445]~P30(x4451)+~P21(x4452,f6(x4451),x4451)+P21(f6(x4451),f19(f10(x4451),x4452),x4451)
% 0.19/0.78 [446]~P30(x4461)+~P10(f6(x4461),x4462,x4461)+P10(f19(f10(x4461),x4462),f6(x4461),x4461)
% 0.19/0.78 [447]~P30(x4471)+~P21(f6(x4471),x4472,x4471)+P21(f19(f10(x4471),x4472),f6(x4471),x4471)
% 0.19/0.78 [454]~P49(x4542)+P10(x4541,f6(x4542),x4542)+~P10(x4541,f19(f10(x4542),x4541),x4542)
% 0.19/0.78 [455]~P26(x4552)+P21(x4551,f6(x4552),x4552)+~P21(x4551,f19(f10(x4552),x4551),x4552)
% 0.19/0.78 [456]~P27(x4562)+P21(x4561,f6(x4562),x4562)+~P21(x4561,f19(f10(x4562),x4561),x4562)
% 0.19/0.78 [457]~P26(x4571)+P21(f6(x4571),x4572,x4571)+~P21(f19(f10(x4571),x4572),x4572,x4571)
% 0.19/0.78 [458]~P27(x4581)+P21(f6(x4581),x4582,x4581)+~P21(f19(f10(x4581),x4582),x4582,x4581)
% 0.19/0.78 [464]~P30(x4642)+P10(x4641,f6(x4642),x4642)+~P10(f6(x4642),f19(f10(x4642),x4641),x4642)
% 0.19/0.78 [465]~P30(x4652)+P21(x4651,f6(x4652),x4652)+~P21(f6(x4652),f19(f10(x4652),x4651),x4652)
% 0.19/0.78 [466]~P30(x4661)+P10(f6(x4661),x4662,x4661)+~P10(f19(f10(x4661),x4662),f6(x4661),x4661)
% 0.19/0.78 [467]~P30(x4671)+P21(f6(x4671),x4672,x4671)+~P21(f19(f10(x4671),x4672),f6(x4671),x4671)
% 0.19/0.78 [618]~P33(x6181)+~P20(x6182,x6181)+P20(f5(f16(x6181),x6182,x6181,a1,a23),a1)
% 0.19/0.78 [619]~P33(x6191)+~P23(x6192,x6191)+P23(f5(f10(x6191),x6192,x6191,x6191,a23),x6191)
% 0.19/0.78 [620]~P33(x6201)+~P20(x6202,x6201)+P20(f5(f10(x6201),x6202,x6201,x6201,a23),x6201)
% 0.19/0.78 [653]~P33(x6531)+~P18(x6532,f6(x6531),x6531)+P18(f5(f16(x6531),x6532,x6531,a1,a23),f6(a1),a1)
% 0.19/0.78 [691]~P60(x6912)+P23(x6911,x6912)+~P23(f5(f16(x6912),x6911,x6912,a1,a23),a1)
% 0.19/0.78 [692]~P33(x6922)+P20(x6921,x6922)+~P20(f5(f16(x6922),x6921,x6922,a1,a23),a1)
% 0.19/0.78 [694]~P33(x6942)+P18(x6941,f6(x6942),x6942)+~P18(f5(f16(x6942),x6941,x6942,a1,a23),f6(a1),a1)
% 0.19/0.78 [637]~P33(x6371)+~P23(x6372,x6371)+E(f21(f5(f10(x6371),x6372,x6371,x6371,a23),x6371),f19(f10(x6371),f21(x6372,x6371)))
% 0.19/0.78 [737]~P60(x7371)+P21(f19(f16(x7371),f21(x7372,x7371)),f21(f5(f16(x7371),x7372,x7371,a1,a23),a1),a1)+~P23(f5(f16(x7371),x7372,x7371,a1,a23),a1)
% 0.19/0.78 [353]~P33(x3532)+P23(x3531,x3532)+~P24(x3531,x3533,x3532)
% 0.19/0.78 [354]~P35(x3542)+P19(x3541,x3542)+~P18(x3541,x3543,x3542)
% 0.19/0.78 [365]P21(x3652,x3651,x3653)+~P36(x3653)+P10(x3651,x3652,x3653)
% 0.19/0.78 [367]P21(x3672,x3671,x3673)+~P36(x3673)+P21(x3671,x3672,x3673)
% 0.19/0.78 [390]~P37(x3903)+~P10(x3901,x3902,x3903)+P21(x3901,x3902,x3903)
% 0.19/0.78 [391]~P38(x3913)+~P10(x3911,x3912,x3913)+P21(x3911,x3912,x3913)
% 0.19/0.78 [412]~P10(x4123,x4122,x4121)+~P36(x4121)+~P10(x4122,x4123,x4121)
% 0.19/0.78 [414]~P21(x4143,x4142,x4141)+~P36(x4141)+~P10(x4142,x4143,x4141)
% 0.19/0.78 [417]~P10(x4173,x4172,x4171)+~P37(x4171)+~P10(x4172,x4173,x4171)
% 0.19/0.78 [418]~P21(x4183,x4182,x4181)+~P37(x4181)+~P10(x4182,x4183,x4181)
% 0.19/0.78 [419]~P10(x4193,x4192,x4191)+~P38(x4191)+~P10(x4192,x4193,x4191)
% 0.19/0.78 [459]~P21(x4591,x4593,a1)+P21(x4591,x4592,a1)+~P21(x4593,x4592,a1)
% 0.19/0.78 [460]~P21(x4601,x4603,a23)+P21(x4601,x4602,a23)+~P21(x4603,x4602,a23)
% 0.19/0.78 [355]~P33(x3553)+~P24(x3552,x3551,x3553)+E(x3551,f21(x3552,x3553))
% 0.19/0.78 [356]~P33(x3562)+~P24(x3561,x3563,x3562)+E(f21(x3561,x3562),x3563)
% 0.19/0.78 [410]~P14(x4102)+~P18(x4102,x4101,a1)+P21(x4101,f19(x4102,x4103),a1)
% 0.19/0.78 [411]~P13(x4111)+~P18(x4111,x4113,a1)+P21(f19(x4111,x4112),x4113,a1)
% 0.19/0.78 [437]~P6(x4371)+~P10(x4372,x4373,a23)+P10(f19(x4371,x4372),f19(x4371,x4373),a23)
% 0.19/0.78 [438]~P13(x4381)+~P21(x4382,x4383,a23)+P21(f19(x4381,x4382),f19(x4381,x4383),a1)
% 0.19/0.78 [439]~P14(x4391)+~P21(x4393,x4392,a23)+P21(f19(x4391,x4392),f19(x4391,x4393),a1)
% 0.19/0.78 [701]~P35(x7012)+~P9(x7011,x7013,f6(a2),x7012,a2)+P9(f5(a4,x7011,a2,a1,x7012),x7013,f6(a1),x7012,a1)
% 0.19/0.78 [702]~P35(x7022)+~P9(x7021,x7023,f6(a2),x7022,a2)+P9(f5(a7,x7021,a2,a2,x7022),x7023,f6(a2),x7022,a2)
% 0.19/0.78 [703]~P35(x7032)+~P9(x7031,x7033,f6(a2),x7032,a2)+P9(f5(a8,x7031,a2,a1,x7032),x7033,f6(a1),x7032,a1)
% 0.19/0.78 [320]~P28(x3203)+E(x3201,x3202)+~E(f19(f10(x3203),x3201),f19(f10(x3203),x3202))
% 0.19/0.78 [321]~P5(x3213)+E(x3211,x3212)+~E(f19(f10(x3213),x3211),f19(f10(x3213),x3212))
% 0.19/0.78 [322]~P34(x3223)+E(x3221,x3222)+~E(f19(f15(x3223),x3221),f19(f15(x3223),x3222))
% 0.19/0.78 [449]~P49(x4493)+P10(x4491,x4492,x4493)+~P10(f19(f13(x4493),x4491),x4492,x4493)
% 0.19/0.78 [450]~P2(x4503)+P21(x4501,x4502,x4503)+~P21(f19(f13(x4503),x4501),x4502,x4503)
% 0.19/0.78 [468]~P30(x4681)+~P10(x4683,x4682,x4681)+P10(f19(f10(x4681),x4682),f19(f10(x4681),x4683),x4681)
% 0.19/0.78 [469]~P30(x4691)+~P21(x4693,x4692,x4691)+P21(f19(f10(x4691),x4692),f19(f10(x4691),x4693),x4691)
% 0.19/0.78 [487]~P30(x4872)+~P10(x4873,f19(f10(x4872),x4871),x4872)+P10(x4871,f19(f10(x4872),x4873),x4872)
% 0.19/0.78 [489]~P30(x4892)+~P21(x4893,f19(f10(x4892),x4891),x4892)+P21(x4891,f19(f10(x4892),x4893),x4892)
% 0.19/0.78 [491]~P30(x4911)+~P10(f19(f10(x4911),x4913),x4912,x4911)+P10(f19(f10(x4911),x4912),x4913,x4911)
% 0.19/0.78 [492]~P49(x4921)+~P10(f19(f13(x4921),x4922),x4923,x4921)+P10(f19(f10(x4921),x4922),x4923,x4921)
% 0.19/0.78 [493]~P2(x4931)+~P21(f19(f13(x4931),x4932),x4933,x4931)+P21(f19(f10(x4931),x4932),x4933,x4931)
% 0.19/0.78 [495]~P30(x4951)+~P21(f19(f10(x4951),x4953),x4952,x4951)+P21(f19(f10(x4951),x4952),x4953,x4951)
% 0.19/0.78 [499]~P30(x4993)+P10(x4991,x4992,x4993)+~P10(f19(f10(x4993),x4992),f19(f10(x4993),x4991),x4993)
% 0.19/0.78 [500]~P30(x5003)+P21(x5001,x5002,x5003)+~P21(f19(f10(x5003),x5002),f19(f10(x5003),x5001),x5003)
% 0.19/0.78 [628]~P40(x6282)+~P23(x6283,x6282)+P23(f5(f14(x6281,x6282),x6283,x6282,x6282,a23),x6282)
% 0.19/0.78 [629]~P33(x6292)+~P23(x6293,x6292)+P23(f5(f18(x6291,x6292),x6293,x6292,x6292,a23),x6292)
% 0.19/0.78 [631]~P40(x6312)+~P20(x6313,x6312)+P20(f5(f14(x6311,x6312),x6313,x6312,x6312,a23),x6312)
% 0.19/0.78 [633]~P33(x6332)+~P20(x6333,x6332)+P20(f5(f18(x6331,x6332),x6333,x6332,x6332,a23),x6332)
% 0.19/0.78 [634]~P40(x6342)+~P19(x6343,x6342)+P19(f5(f14(x6341,x6342),x6343,x6342,x6342,a23),x6342)
% 0.19/0.78 [635]~P33(x6352)+~P19(x6353,x6352)+P19(f5(f18(x6351,x6352),x6353,x6352,x6352,a23),x6352)
% 0.19/0.78 [652]~P42(x6521)+~P11(x6522,x6523,x6521)+P11(f5(f10(x6521),x6522,x6521,x6521,x6521),x6523,x6521)
% 0.19/0.78 [655]~P33(x6551)+~P18(x6552,x6553,x6551)+P18(f5(f16(x6551),x6552,x6551,a1,a23),f19(f16(x6551),x6553),a1)
% 0.19/0.78 [656]~P33(x6561)+~P18(x6562,x6563,x6561)+P18(f5(f10(x6561),x6562,x6561,x6561,a23),f19(f10(x6561),x6563),x6561)
% 0.19/0.78 [657]~P33(x6571)+~P24(x6572,x6573,x6571)+P24(f5(f10(x6571),x6572,x6571,x6571,a23),f19(f10(x6571),x6573),x6571)
% 0.19/0.78 [695]~P33(x6953)+P18(x6951,x6952,x6953)+~P18(f5(f10(x6953),x6951,x6953,x6953,a23),f19(f10(x6953),x6952),x6953)
% 0.19/0.78 [650]~P33(x6502)+~P23(x6503,x6502)+E(f21(f5(f18(x6501,x6502),x6503,x6502,x6502,a23),x6502),f19(f18(x6501,x6502),f21(x6503,x6502)))
% 0.19/0.78 [651]~P40(x6512)+~P23(x6513,x6512)+E(f21(f5(f14(x6511,x6512),x6513,x6512,x6512,a23),x6512),f19(f14(x6511,x6512),f21(x6513,x6512)))
% 0.19/0.78 [503]~P49(x5031)+~P21(f6(x5031),x5033,x5031)+E(f19(f14(f19(f13(x5031),x5032),x5031),x5033),f19(f13(x5031),f19(f14(x5032,x5031),x5033)))
% 0.19/0.78 [707]~P35(x7072)+~P9(x7071,x7073,x7074,x7072,a2)+P9(f5(a4,x7071,a2,a1,x7072),x7073,f19(a4,x7074),x7072,a1)
% 0.19/0.78 [708]~P35(x7082)+~P9(x7081,x7083,x7084,x7082,a2)+P9(f5(a7,x7081,a2,a2,x7082),x7083,f19(a7,x7084),x7082,a2)
% 0.19/0.78 [709]~P35(x7092)+~P9(x7091,x7093,x7094,x7092,a2)+P9(f5(a8,x7091,a2,a1,x7092),x7093,f19(a8,x7094),x7092,a1)
% 0.19/0.78 [662]~P40(x6622)+~P18(x6623,x6624,x6622)+P18(f5(f14(x6621,x6622),x6623,x6622,x6622,a23),f19(f14(x6621,x6622),x6624),x6622)
% 0.19/0.78 [663]~P33(x6632)+~P18(x6633,x6634,x6632)+P18(f5(f18(x6631,x6632),x6633,x6632,x6632,a23),f19(f18(x6631,x6632),x6634),x6632)
% 0.19/0.78 [665]~P40(x6652)+~P24(x6653,x6654,x6652)+P24(f5(f14(x6651,x6652),x6653,x6652,x6652,a23),f19(f14(x6651,x6652),x6654),x6652)
% 0.19/0.78 [666]~P33(x6662)+~P24(x6663,x6664,x6662)+P24(f5(f18(x6661,x6662),x6663,x6662,x6662,a23),f19(f18(x6661,x6662),x6664),x6662)
% 0.19/0.78 [671]~P33(x6711)+~P16(x6712,x6714,x6713,x6711)+P16(f5(f16(x6711),x6712,x6711,a1,x6713),x6714,x6713,a1)
% 0.19/0.78 [672]~P33(x6721)+~P16(x6722,x6724,x6723,x6721)+P16(f5(f10(x6721),x6722,x6721,x6721,x6723),x6724,x6723,x6721)
% 0.19/0.78 [696]~P33(x6964)+P16(x6961,x6962,x6963,x6964)+~P16(f5(f16(x6964),x6961,x6964,a1,x6963),x6962,x6963,a1)
% 0.19/0.78 [683]~P33(x6831)+~P34(x6831)+E(f12(f5(f15(x6831),x6832,a1,x6831,x6833),x6834,x6833,x6831),f19(f15(x6831),f12(x6832,x6834,x6833,a1)))
% 0.19/0.78 [678]~P40(x6782)+~P16(x6783,x6785,x6784,x6782)+P16(f5(f14(x6781,x6782),x6783,x6782,x6782,x6784),x6785,x6784,x6782)
% 0.19/0.78 [680]~P33(x6802)+~P16(x6803,x6805,x6804,x6802)+P16(f5(f18(x6801,x6802),x6803,x6802,x6802,x6804),x6805,x6804,x6802)
% 0.19/0.78 [712]~P33(x7121)+~P17(x7122,x7124,x7125,x7123,x7121)+P17(f5(f16(x7121),x7122,x7121,a1,x7123),f19(f16(x7121),x7124),x7125,x7123,a1)
% 0.19/0.78 [713]~P33(x7131)+~P17(x7132,x7134,x7135,x7133,x7131)+P17(f5(f10(x7131),x7132,x7131,x7131,x7133),f19(f10(x7131),x7134),x7135,x7133,x7131)
% 0.19/0.78 [733]~P33(x7335)+P17(x7331,x7332,x7333,x7334,x7335)+~P17(f5(f10(x7335),x7331,x7335,x7335,x7334),f19(f10(x7335),x7332),x7333,x7334,x7335)
% 0.19/0.78 [725]~P40(x7252)+~P17(x7253,x7255,x7256,x7254,x7252)+P17(f5(f14(x7251,x7252),x7253,x7252,x7252,x7254),f19(f14(x7251,x7252),x7255),x7256,x7254,x7252)
% 0.19/0.78 [726]~P33(x7262)+~P17(x7263,x7265,x7266,x7264,x7262)+P17(f5(f18(x7261,x7262),x7263,x7262,x7262,x7264),f19(f18(x7261,x7262),x7265),x7266,x7264,x7262)
% 0.19/0.78 [344]~P36(x3441)+~P29(x3441)+P10(x3442,f6(x3441),x3441)+E(f19(f13(x3441),x3442),x3442)
% 0.19/0.78 [400]~P36(x4001)+~P29(x4001)+~P10(x4002,f6(x4001),x4001)+E(f19(f13(x4001),x4002),f19(f10(x4001),x4002))
% 0.19/0.78 [621]~P33(x6211)+~P34(x6211)+~P23(x6212,a1)+P23(f5(f15(x6211),x6212,a1,x6211,a23),x6211)
% 0.19/0.78 [622]~P33(x6221)+~P34(x6221)+~P20(x6222,a1)+P20(f5(f15(x6221),x6222,a1,x6221,a23),x6221)
% 0.19/0.78 [623]~P33(x6231)+~P34(x6231)+~P19(x6232,a1)+P19(f5(f15(x6231),x6232,a1,x6231,a23),x6231)
% 0.19/0.78 [636]~P33(x6361)+~P34(x6361)+~P23(x6362,a1)+E(f21(f5(f15(x6361),x6362,a1,x6361,a23),x6361),f19(f15(x6361),f21(x6362,a1)))
% 0.19/0.78 [370]P10(x3701,x3702,x3703)+~P49(x3703)+E(x3701,x3702)+P10(x3702,x3701,x3703)
% 0.19/0.78 [374]P10(x3741,x3742,x3743)+~P36(x3743)+E(x3741,x3742)+P10(x3742,x3741,x3743)
% 0.19/0.78 [393]~P36(x3933)+~P21(x3931,x3932,x3933)+E(x3931,x3932)+P10(x3931,x3932,x3933)
% 0.19/0.78 [399]~P38(x3993)+~P21(x3991,x3992,x3993)+E(x3991,x3992)+P10(x3991,x3992,x3993)
% 0.19/0.78 [401]~P33(x4013)+~P33(x4012)+~P15(x4011,x4012,x4013)+P7(x4011,x4012,x4013)
% 0.19/0.78 [423]~P21(x4232,x4231,x4233)+~P21(x4231,x4232,x4233)+E(x4231,x4232)+~P38(x4233)
% 0.19/0.78 [448]P21(x4482,x4481,x4483)+~P37(x4483)+~P21(x4481,x4482,x4483)+P10(x4481,x4482,x4483)
% 0.19/0.78 [617]~P35(x6173)+~P6(x6172)+~P19(x6171,x6173)+P19(f11(x6171,x6172,a23,x6173,a23),x6173)
% 0.19/0.78 [327]~P44(x3272)+E(x3271,f6(x3272))+E(x3273,f6(a1))+~E(f19(f18(x3273,x3272),x3271),f6(x3272))
% 0.19/0.78 [331]~P59(x3312)+E(x3311,f6(x3312))+E(x3313,f6(x3312))+~E(f19(f14(x3313,x3312),x3311),f6(x3312))
% 0.19/0.78 [333]~P50(x3332)+E(x3331,f6(x3332))+E(x3333,f6(x3332))+~E(f19(f14(x3333,x3332),x3331),f6(x3332))
% 0.19/0.78 [402]~P46(x4023)+E(x4021,x4022)+~E(f19(f14(x4021,x4023),x4021),f19(f14(x4022,x4023),x4022))+E(x4021,f19(f10(x4023),x4022))
% 0.19/0.78 [511]~P49(x5111)+~P10(x5112,x5113,x5111)+~P10(f19(f10(x5111),x5112),x5113,x5111)+P10(f19(f13(x5111),x5112),x5113,x5111)
% 0.19/0.78 [513]~P2(x5131)+~P21(x5132,x5133,x5131)+~P21(f19(f10(x5131),x5132),x5133,x5131)+P21(f19(f13(x5131),x5132),x5133,x5131)
% 0.19/0.78 [514]~P48(x5141)+~P10(x5143,f6(x5141),x5141)+~P10(x5142,f6(x5141),x5141)+P10(f6(x5141),f19(f14(x5142,x5141),x5143),x5141)
% 0.19/0.78 [516]~P54(x5161)+~P21(x5163,f6(x5161),x5161)+~P21(x5162,f6(x5161),x5161)+P21(f6(x5161),f19(f14(x5162,x5161),x5163),x5161)
% 0.19/0.78 [517]~P48(x5171)+~P21(x5173,f6(x5171),x5171)+~P21(x5172,f6(x5171),x5171)+P21(f6(x5171),f19(f14(x5172,x5171),x5173),x5171)
% 0.19/0.78 [518]~P1(x5181)+~P10(f6(x5181),x5183,x5181)+~P10(f6(x5181),x5182,x5181)+P10(f6(x5181),f19(f14(x5182,x5181),x5183),x5181)
% 0.19/0.78 [519]~P54(x5191)+~P21(f6(x5191),x5193,x5191)+~P21(f6(x5191),x5192,x5191)+P21(f6(x5191),f19(f14(x5192,x5191),x5193),x5191)
% 0.19/0.78 [520]~P48(x5201)+~P21(f6(x5201),x5203,x5201)+~P21(f6(x5201),x5202,x5201)+P21(f6(x5201),f19(f14(x5202,x5201),x5203),x5201)
% 0.19/0.78 [521]~P55(x5211)+~P21(f6(x5211),x5213,x5211)+~P21(f6(x5211),x5212,x5211)+P21(f6(x5211),f19(f14(x5212,x5211),x5213),x5211)
% 0.19/0.78 [522]~P1(x5222)+~P10(x5223,f6(x5222),x5222)+~P10(f6(x5222),x5221,x5222)+P10(f19(f14(x5221,x5222),x5223),f6(x5222),x5222)
% 0.19/0.78 [524]~P1(x5242)+~P10(x5241,f6(x5242),x5242)+~P10(f6(x5242),x5243,x5242)+P10(f19(f14(x5241,x5242),x5243),f6(x5242),x5242)
% 0.19/0.78 [525]~P48(x5252)+~P21(x5253,f6(x5252),x5252)+~P21(f6(x5252),x5251,x5252)+P21(f19(f14(x5251,x5252),x5253),f6(x5252),x5252)
% 0.19/0.78 [526]~P48(x5262)+~P21(x5261,f6(x5262),x5262)+~P21(f6(x5262),x5263,x5262)+P21(f19(f14(x5261,x5262),x5263),f6(x5262),x5262)
% 0.19/0.78 [528]~P55(x5282)+~P21(x5283,f6(x5282),x5282)+~P21(f6(x5282),x5281,x5282)+P21(f19(f14(x5281,x5282),x5283),f6(x5282),x5282)
% 0.19/0.78 [531]~P55(x5312)+~P21(x5311,f6(x5312),x5312)+~P21(f6(x5312),x5313,x5312)+P21(f19(f14(x5311,x5312),x5313),f6(x5312),x5312)
% 0.19/0.78 [532]~P48(x5322)+P21(x5321,f6(x5322),x5322)+P21(x5323,f6(x5322),x5322)+~P21(f19(f14(x5323,x5322),x5321),f6(x5322),x5322)
% 0.19/0.78 [533]~P48(x5332)+P21(x5331,f6(x5332),x5332)+P21(f6(x5332),x5333,x5332)+~P21(f6(x5332),f19(f14(x5333,x5332),x5331),x5332)
% 0.19/0.78 [534]~P48(x5342)+P21(x5341,f6(x5342),x5342)+P21(f6(x5342),x5343,x5342)+~P21(f6(x5342),f19(f14(x5341,x5342),x5343),x5342)
% 0.19/0.78 [535]~P48(x5352)+P21(x5351,f6(x5352),x5352)+P21(f6(x5352),x5351,x5352)+~P21(f6(x5352),f19(f14(x5353,x5352),x5351),x5352)
% 0.19/0.78 [536]~P48(x5362)+P21(x5361,f6(x5362),x5362)+P21(f6(x5362),x5361,x5362)+~P21(f6(x5362),f19(f14(x5361,x5362),x5363),x5362)
% 0.19/0.78 [537]~P48(x5372)+P21(x5371,f6(x5372),x5372)+P21(f6(x5372),x5371,x5372)+~P21(f19(f14(x5373,x5372),x5371),f6(x5372),x5372)
% 0.19/0.78 [538]~P48(x5382)+P21(x5381,f6(x5382),x5382)+P21(f6(x5382),x5381,x5382)+~P21(f19(f14(x5381,x5382),x5383),f6(x5382),x5382)
% 0.19/0.78 [539]~P48(x5391)+P21(f6(x5391),x5392,x5391)+P21(f6(x5391),x5393,x5391)+~P21(f19(f14(x5392,x5391),x5393),f6(x5391),x5391)
% 0.19/0.78 [544]~P1(x5441)+P10(f6(x5441),x5442,x5441)+~P10(f6(x5441),x5443,x5441)+~P10(f6(x5441),f19(f14(x5443,x5441),x5442),x5441)
% 0.19/0.78 [545]~P1(x5451)+P10(f6(x5451),x5452,x5451)+~P10(f6(x5451),x5453,x5451)+~P10(f6(x5451),f19(f14(x5452,x5451),x5453),x5451)
% 0.19/0.78 [658]~P33(x6581)+~P34(x6581)+~P18(x6582,x6583,a1)+P18(f5(f15(x6581),x6582,a1,x6581,a23),f19(f15(x6581),x6583),x6581)
% 0.19/0.78 [659]~P33(x6591)+~P34(x6591)+~P24(x6592,x6593,a1)+P24(f5(f15(x6591),x6592,a1,x6591,a23),f19(f15(x6591),x6593),x6591)
% 0.19/0.78 [568]~P58(x5681)+~P21(x5683,f6(x5681),x5681)+~P21(x5682,f6(x5681),x5681)+E(f19(f14(f19(f13(x5681),x5682),x5681),f19(f13(x5681),x5683)),f19(f13(x5681),f19(f14(x5682,x5681),x5683)))
% 0.19/0.78 [569]~P58(x5691)+~P21(x5693,f6(x5691),x5691)+~P21(f6(x5691),x5692,x5691)+E(f19(f14(f19(f13(x5691),x5692),x5691),f19(f13(x5691),x5693)),f19(f13(x5691),f19(f14(x5692,x5691),x5693)))
% 0.19/0.78 [570]~P58(x5701)+~P21(x5702,f6(x5701),x5701)+~P21(f6(x5701),x5703,x5701)+E(f19(f14(f19(f13(x5701),x5702),x5701),f19(f13(x5701),x5703)),f19(f13(x5701),f19(f14(x5702,x5701),x5703)))
% 0.19/0.78 [571]~P58(x5711)+~P21(f6(x5711),x5713,x5711)+~P21(f6(x5711),x5712,x5711)+E(f19(f14(f19(f13(x5711),x5712),x5711),f19(f13(x5711),x5713)),f19(f13(x5711),f19(f14(x5712,x5711),x5713)))
% 0.19/0.78 [420]~P18(x4204,x4201,x4203)+E(x4201,x4202)+~P18(x4204,x4202,x4203)+~P35(x4203)
% 0.19/0.78 [471]~P37(x4713)+~P10(x4711,x4714,x4713)+P10(x4711,x4712,x4713)+~P10(x4714,x4712,x4713)
% 0.19/0.78 [472]~P37(x4723)+~P21(x4721,x4724,x4723)+P10(x4721,x4722,x4723)+~P10(x4724,x4722,x4723)
% 0.19/0.78 [473]~P37(x4733)+~P21(x4734,x4732,x4733)+P10(x4731,x4732,x4733)+~P10(x4731,x4734,x4733)
% 0.19/0.78 [474]~P38(x4743)+~P10(x4741,x4744,x4743)+P10(x4741,x4742,x4743)+~P10(x4744,x4742,x4743)
% 0.19/0.78 [475]~P38(x4753)+~P21(x4751,x4754,x4753)+P10(x4751,x4752,x4753)+~P10(x4754,x4752,x4753)
% 0.19/0.78 [476]~P38(x4763)+~P21(x4764,x4762,x4763)+P10(x4761,x4762,x4763)+~P10(x4761,x4764,x4763)
% 0.19/0.78 [477]~P37(x4773)+~P21(x4771,x4774,x4773)+P21(x4771,x4772,x4773)+~P21(x4774,x4772,x4773)
% 0.19/0.78 [478]~P38(x4783)+~P21(x4781,x4784,x4783)+P21(x4781,x4782,x4783)+~P21(x4784,x4782,x4783)
% 0.19/0.78 [540]~P33(x5404)+~P33(x5403)+~P15(x5401,x5403,x5404)+P8(x5401,x5402,x5403,x5404)
% 0.19/0.78 [541]~P35(x5414)+~P35(x5413)+~P7(x5411,x5413,x5414)+P8(x5411,x5412,x5413,x5414)
% 0.19/0.78 [496]~P12(x4962)+~P18(x4962,x4961,a1)+P21(x4961,f19(x4962,x4963),a1)+P21(f19(x4962,x4964),x4961,a1)
% 0.19/0.78 [598]~P60(x5982)+P23(x5981,x5982)+~P23(x5984,a1)+P21(x5983,f22(x5981,x5984,x5983,x5982),a23)
% 0.19/0.78 [603]~P33(x6034)+~P33(x6033)+~P15(x6031,x6033,x6034)+P9(x6031,x6032,f19(x6031,x6032),x6033,x6034)
% 0.19/0.78 [604]~P35(x6044)+~P35(x6043)+~P8(x6041,x6042,x6043,x6044)+P9(x6041,x6042,f19(x6041,x6042),x6043,x6044)
% 0.19/0.78 [605]~P35(x6054)+~P35(x6053)+P8(x6051,x6052,x6053,x6054)+~P9(x6051,x6052,f19(x6051,x6052),x6053,x6054)
% 0.19/0.78 [648]~P35(x6483)+~P6(x6482)+~P18(x6481,x6484,x6483)+P18(f11(x6481,x6482,a23,x6483,a23),x6484,x6483)
% 0.19/0.78 [667]~P42(x6673)+~P11(x6672,x6674,x6673)+~P11(x6671,f19(x6672,x6674),x6673)+P11(f5(x6671,x6672,x6673,x6673,x6673),x6674,x6673)
% 0.19/0.78 [381]~P44(x3814)+E(x3811,x3812)+E(x3813,f6(a1))+~E(f19(f18(x3813,x3814),x3811),f19(f18(x3813,x3814),x3812))
% 0.19/0.78 [385]~P44(x3854)+E(x3851,x3852)+E(x3853,f6(x3854))+~E(f19(f18(x3851,x3854),x3853),f19(f18(x3852,x3854),x3853))
% 0.19/0.78 [549]~P48(x5492)+~P10(x5494,x5491,x5492)+~P10(x5493,f6(x5492),x5492)+P10(f19(f14(x5491,x5492),x5493),f19(f14(x5494,x5492),x5493),x5492)
% 0.19/0.78 [552]~P48(x5522)+~P10(x5524,x5523,x5522)+~P10(x5521,f6(x5522),x5522)+P10(f19(f14(x5521,x5522),x5523),f19(f14(x5521,x5522),x5524),x5522)
% 0.19/0.78 [553]~P54(x5532)+~P21(x5534,x5531,x5532)+~P21(x5533,f6(x5532),x5532)+P21(f19(f14(x5531,x5532),x5533),f19(f14(x5534,x5532),x5533),x5532)
% 0.19/0.78 [554]~P54(x5542)+~P21(x5544,x5543,x5542)+~P21(x5541,f6(x5542),x5542)+P21(f19(f14(x5541,x5542),x5543),f19(f14(x5541,x5542),x5544),x5542)
% 0.19/0.78 [555]~P48(x5552)+~P21(x5554,x5553,x5552)+~P10(x5551,f6(x5552),x5552)+P21(f19(f14(x5551,x5552),x5553),f19(f14(x5551,x5552),x5554),x5552)
% 0.19/0.78 [556]~P1(x5562)+~P10(x5561,x5564,x5562)+~P10(f6(x5562),x5563,x5562)+P10(f19(f14(x5561,x5562),x5563),f19(f14(x5564,x5562),x5563),x5562)
% 0.19/0.78 [557]~P48(x5572)+~P10(x5571,x5574,x5572)+~P10(f6(x5572),x5573,x5572)+P10(f19(f14(x5571,x5572),x5573),f19(f14(x5574,x5572),x5573),x5572)
% 0.19/0.78 [558]~P1(x5582)+~P10(x5583,x5584,x5582)+~P10(f6(x5582),x5581,x5582)+P10(f19(f14(x5581,x5582),x5583),f19(f14(x5581,x5582),x5584),x5582)
% 0.19/0.78 [560]~P48(x5602)+~P10(x5603,x5604,x5602)+~P10(f6(x5602),x5601,x5602)+P10(f19(f14(x5601,x5602),x5603),f19(f14(x5601,x5602),x5604),x5602)
% 0.19/0.78 [561]~P52(x5612)+~P10(x5613,x5614,x5612)+~P10(f6(x5612),x5611,x5612)+P10(f19(f14(x5611,x5612),x5613),f19(f14(x5611,x5612),x5614),x5612)
% 0.19/0.78 [562]~P32(x5622)+~P21(x5621,x5624,x5622)+~P21(f6(x5622),x5623,x5622)+P21(f19(f14(x5621,x5622),x5623),f19(f14(x5624,x5622),x5623),x5622)
% 0.19/0.78 [563]~P31(x5632)+~P21(x5633,x5634,x5632)+~P21(f6(x5632),x5631,x5632)+P21(f19(f14(x5631,x5632),x5633),f19(f14(x5631,x5632),x5634),x5632)
% 0.19/0.78 [564]~P32(x5642)+~P21(x5643,x5644,x5642)+~P21(f6(x5642),x5641,x5642)+P21(f19(f14(x5641,x5642),x5643),f19(f14(x5641,x5642),x5644),x5642)
% 0.19/0.78 [565]~P48(x5652)+~P21(x5653,x5654,x5652)+~P10(f6(x5652),x5651,x5652)+P21(f19(f14(x5651,x5652),x5653),f19(f14(x5651,x5652),x5654),x5652)
% 0.19/0.78 [566]P10(x5662,x5661,x5663)+~P48(x5663)+P10(x5661,x5662,x5663)+~P10(f19(f14(x5664,x5663),x5661),f19(f14(x5664,x5663),x5662),x5663)
% 0.19/0.78 [567]P10(x5672,x5671,x5673)+~P48(x5673)+P10(x5671,x5672,x5673)+~P10(f19(f14(x5671,x5673),x5674),f19(f14(x5672,x5673),x5674),x5673)
% 0.19/0.78 [572]~P48(x5723)+P10(x5721,x5722,x5723)+P10(x5724,f6(x5723),x5723)+~P10(f19(f14(x5721,x5723),x5724),f19(f14(x5722,x5723),x5724),x5723)
% 0.19/0.78 [573]~P48(x5733)+P10(x5731,x5732,x5733)+P10(x5734,f6(x5733),x5733)+~P10(f19(f14(x5734,x5733),x5731),f19(f14(x5734,x5733),x5732),x5733)
% 0.19/0.78 [574]~P48(x5743)+P10(x5741,x5742,x5743)+P10(f6(x5743),x5744,x5743)+~P10(f19(f14(x5744,x5743),x5742),f19(f14(x5744,x5743),x5741),x5743)
% 0.19/0.78 [575]~P48(x5753)+P10(x5751,x5752,x5753)+P10(f6(x5753),x5754,x5753)+~P10(f19(f14(x5752,x5753),x5754),f19(f14(x5751,x5753),x5754),x5753)
% 0.19/0.78 [576]~P48(x5762)+P10(x5761,f6(x5762),x5762)+P10(f6(x5762),x5761,x5762)+~P10(f19(f14(x5763,x5762),x5761),f19(f14(x5764,x5762),x5761),x5762)
% 0.19/0.78 [577]~P48(x5772)+P10(x5771,f6(x5772),x5772)+P10(f6(x5772),x5771,x5772)+~P10(f19(f14(x5771,x5772),x5773),f19(f14(x5771,x5772),x5774),x5772)
% 0.19/0.78 [579]~P48(x5793)+P10(x5791,x5792,x5793)+~P10(x5794,f6(x5793),x5793)+~P10(f19(f14(x5794,x5793),x5792),f19(f14(x5794,x5793),x5791),x5793)
% 0.19/0.78 [580]~P48(x5803)+P21(x5801,x5802,x5803)+~P10(x5804,f6(x5803),x5803)+~P21(f19(f14(x5804,x5803),x5802),f19(f14(x5804,x5803),x5801),x5803)
% 0.19/0.78 [581]~P1(x5813)+P10(x5811,x5812,x5813)+~P21(f6(x5813),x5814,x5813)+~P10(f19(f14(x5814,x5813),x5811),f19(f14(x5814,x5813),x5812),x5813)
% 0.19/0.78 [582]~P1(x5823)+P10(x5821,x5822,x5823)+~P21(f6(x5823),x5824,x5823)+~P10(f19(f14(x5821,x5823),x5824),f19(f14(x5822,x5823),x5824),x5823)
% 0.19/0.78 [583]~P48(x5833)+P10(x5831,x5832,x5833)+~P10(f6(x5833),x5834,x5833)+~P10(f19(f14(x5834,x5833),x5831),f19(f14(x5834,x5833),x5832),x5833)
% 0.19/0.78 [584]~P53(x5843)+P10(x5841,x5842,x5843)+~P21(f6(x5843),x5844,x5843)+~P10(f19(f14(x5844,x5843),x5841),f19(f14(x5844,x5843),x5842),x5843)
% 0.19/0.78 [585]~P53(x5853)+P10(x5851,x5852,x5853)+~P21(f6(x5853),x5854,x5853)+~P10(f19(f14(x5851,x5853),x5854),f19(f14(x5852,x5853),x5854),x5853)
% 0.19/0.78 [586]~P1(x5863)+P21(x5861,x5862,x5863)+~P10(f6(x5863),x5864,x5863)+~P21(f19(f14(x5864,x5863),x5861),f19(f14(x5864,x5863),x5862),x5863)
% 0.19/0.78 [587]~P1(x5873)+P21(x5871,x5872,x5873)+~P10(f6(x5873),x5874,x5873)+~P21(f19(f14(x5871,x5873),x5874),f19(f14(x5872,x5873),x5874),x5873)
% 0.19/0.78 [588]~P48(x5883)+P21(x5881,x5882,x5883)+~P10(f6(x5883),x5884,x5883)+~P21(f19(f14(x5884,x5883),x5881),f19(f14(x5884,x5883),x5882),x5883)
% 0.19/0.78 [673]~P35(x6733)+~P41(x6731)+~P8(x6732,x6734,x6733,a1)+P8(f5(f15(x6731),x6732,a1,x6731,x6733),x6734,x6733,x6731)
% 0.19/0.78 [674]~P33(x6741)+~P34(x6741)+~P16(x6742,x6744,x6743,a1)+P16(f5(f15(x6741),x6742,a1,x6741,x6743),x6744,x6743,x6741)
% 0.19/0.78 [675]~P33(x6751)+~P35(x6753)+~P8(x6752,x6754,x6753,x6751)+P8(f5(f16(x6751),x6752,x6751,a1,x6753),x6754,x6753,a1)
% 0.19/0.78 [676]~P33(x6761)+~P35(x6763)+~P8(x6762,x6764,x6763,x6761)+P8(f5(f10(x6761),x6762,x6761,x6761,x6763),x6764,x6763,x6761)
% 0.19/0.78 [710]~P33(x7101)+~P35(x7103)+~P9(x7102,x7104,f6(x7101),x7103,x7101)+P9(f5(f16(x7101),x7102,x7101,a1,x7103),x7104,f6(a1),x7103,a1)
% 0.19/0.78 [732]~P33(x7323)+~P35(x7324)+P9(x7321,x7322,f6(x7323),x7324,x7323)+~P9(f5(f16(x7323),x7321,x7323,a1,x7324),x7322,f6(a1),x7324,a1)
% 0.19/0.78 [698]~P60(x6982)+P23(x6981,x6982)+~P23(x6983,a1)+~P21(f19(f16(x6982),f19(x6981,f22(x6981,x6983,x6984,x6982))),f19(x6983,f22(x6981,x6983,x6984,x6982)),a1)
% 0.19/0.78 [714]~P33(x7141)+~P34(x7141)+~P17(x7142,x7144,x7145,x7143,a1)+P17(f5(f15(x7141),x7142,a1,x7141,x7143),f19(f15(x7141),x7144),x7145,x7143,x7141)
% 0.19/0.78 [715]~P33(x7151)+~P35(x7153)+~P9(x7152,x7154,x7155,x7153,x7151)+P9(f5(f16(x7151),x7152,x7151,a1,x7153),x7154,f19(f16(x7151),x7155),x7153,a1)
% 0.19/0.78 [716]~P33(x7161)+~P35(x7163)+~P9(x7162,x7164,x7165,x7163,x7161)+P9(f5(f10(x7161),x7162,x7161,x7161,x7163),x7164,f19(f10(x7161),x7165),x7163,x7161)
% 0.19/0.78 [719]~P35(x7194)+~P40(x7192)+~P9(x7193,x7195,f6(x7192),x7194,x7192)+P9(f5(f14(x7191,x7192),x7193,x7192,x7192,x7194),x7195,f6(x7192),x7194,x7192)
% 0.19/0.78 [721]~P33(x7212)+~P35(x7214)+~P9(x7213,x7215,f6(x7212),x7214,x7212)+P9(f5(f18(x7211,x7212),x7213,x7212,x7212,x7214),x7215,f6(x7212),x7214,x7212)
% 0.19/0.78 [497]~P33(x4975)+~P33(x4973)+~P15(x4971,x4973,x4975)+E(f19(x4971,f19(f18(x4972,x4973),x4974)),f19(f18(x4972,x4975),f19(x4971,x4974)))
% 0.19/0.78 [600]~P49(x6001)+~P10(f19(f13(x6001),x6002),x6004,x6001)+~P10(f19(f13(x6001),x6003),x6005,x6001)+P10(f19(f14(f19(f13(x6001),x6002),x6001),f19(f13(x6001),x6003)),f19(f14(x6004,x6001),x6005),x6001)
% 0.19/0.78 [727]~P35(x7274)+~P40(x7272)+~P9(x7273,x7275,x7276,x7274,x7272)+P9(f5(f14(x7271,x7272),x7273,x7272,x7272,x7274),x7275,f19(f14(x7271,x7272),x7276),x7274,x7272)
% 0.19/0.78 [728]~P33(x7282)+~P35(x7284)+~P9(x7283,x7285,x7286,x7284,x7282)+P9(f5(f18(x7281,x7282),x7283,x7282,x7282,x7284),x7285,f19(f18(x7281,x7282),x7286),x7284,x7282)
% 0.19/0.78 [638]~P33(x6384)+~P33(x6383)+~P23(x6382,x6383)+~P15(x6381,x6383,x6384)+P23(f5(x6381,x6382,x6383,x6384,a23),x6384)
% 0.19/0.78 [639]~P33(x6394)+~P33(x6393)+~P20(x6392,x6393)+~P15(x6391,x6393,x6394)+P20(f5(x6391,x6392,x6393,x6394,a23),x6394)
% 0.19/0.78 [640]~P33(x6404)+~P33(x6403)+~P19(x6402,x6403)+~P15(x6401,x6403,x6404)+P19(f5(x6401,x6402,x6403,x6404,a23),x6404)
% 0.19/0.78 [641]~P35(x6414)+~P35(x6413)+~P19(x6412,x6413)+~P7(x6411,x6413,x6414)+P19(f5(x6411,x6412,x6413,x6414,a23),x6414)
% 0.19/0.78 [654]~P33(x6544)+~P33(x6543)+~P23(x6542,x6543)+~P15(x6541,x6543,x6544)+E(f21(f5(x6541,x6542,x6543,x6544,a23),x6544),f19(x6541,f21(x6542,x6543)))
% 0.19/0.78 [711]~P33(x7111)+~P34(x7111)+~P35(x7113)+P9(f5(f15(x7111),x7112,a1,x7111,x7113),x7114,f6(x7111),x7113,x7111)+~P9(x7112,x7114,f6(a1),x7113,a1)
% 0.19/0.78 [542]~P12(x5422)+~P21(x5424,x5425,a23)+~P18(x5422,x5421,a1)+P21(x5421,f19(x5422,x5423),a1)+P21(f19(x5422,x5424),f19(x5422,x5425),a1)
% 0.19/0.78 [543]~P12(x5431)+~P21(x5435,x5434,a23)+~P18(x5431,x5433,a1)+P21(f19(x5431,x5432),x5433,a1)+P21(f19(x5431,x5434),f19(x5431,x5435),a1)
% 0.19/0.78 [546]~P12(x5461)+~P21(x5462,x5463,a23)+~P21(x5465,x5464,a23)+P21(f19(x5461,x5462),f19(x5461,x5463),a1)+P21(f19(x5461,x5464),f19(x5461,x5465),a1)
% 0.19/0.78 [660]~P33(x6604)+~P33(x6603)+~P15(x6601,x6603,x6604)+~P18(x6602,x6605,x6603)+P18(f5(x6601,x6602,x6603,x6604,a23),f19(x6601,x6605),x6604)
% 0.19/0.78 [661]~P33(x6614)+~P33(x6613)+~P15(x6611,x6613,x6614)+~P24(x6612,x6615,x6613)+P24(f5(x6611,x6612,x6613,x6614,a23),f19(x6611,x6615),x6614)
% 0.19/0.78 [717]~P33(x7171)+~P34(x7171)+~P35(x7173)+~P9(x7172,x7174,x7175,x7173,a1)+P9(f5(f15(x7171),x7172,a1,x7171,x7173),x7174,f19(f15(x7171),x7175),x7173,x7171)
% 0.19/0.78 [690]~P9(x6905,x6906,x6901,x6904,x6903)+E(x6901,x6902)+~P9(x6905,x6906,x6902,x6904,x6903)+~P35(x6903)+~P41(x6904)
% 0.19/0.78 [681]~P33(x6813)+~P33(x6814)+~P15(x6811,x6813,x6814)+~P16(x6812,x6816,x6815,x6813)+P16(f5(x6811,x6812,x6813,x6814,x6815),x6816,x6815,x6814)
% 0.19/0.78 [723]~P33(x7233)+~P33(x7234)+~P15(x7231,x7233,x7234)+~P17(x7232,x7236,x7237,x7235,x7233)+P17(f5(x7231,x7232,x7233,x7234,x7235),f19(x7231,x7236),x7237,x7235,x7234)
% 0.19/0.78 [592]~P1(x5922)+~P10(x5923,x5925,x5922)+~P10(x5921,x5924,x5922)+~P10(f6(x5922),x5924,x5922)+~P21(f6(x5922),x5923,x5922)+P10(f19(f14(x5921,x5922),x5923),f19(f14(x5924,x5922),x5925),x5922)
% 0.19/0.78 [593]~P1(x5932)+~P10(x5933,x5935,x5932)+~P10(x5931,x5934,x5932)+~P21(f6(x5932),x5933,x5932)+~P21(f6(x5932),x5931,x5932)+P10(f19(f14(x5931,x5932),x5933),f19(f14(x5934,x5932),x5935),x5932)
% 0.19/0.78 [594]~P1(x5942)+~P10(x5943,x5945,x5942)+~P21(x5941,x5944,x5942)+~P10(f6(x5942),x5941,x5942)+~P21(f6(x5942),x5943,x5942)+P10(f19(f14(x5941,x5942),x5943),f19(f14(x5944,x5942),x5945),x5942)
% 0.19/0.78 [595]~P1(x5952)+~P10(x5951,x5954,x5952)+~P21(x5953,x5955,x5952)+~P10(f6(x5952),x5953,x5952)+~P21(f6(x5952),x5951,x5952)+P10(f19(f14(x5951,x5952),x5953),f19(f14(x5954,x5952),x5955),x5952)
% 0.19/0.78 [596]~P57(x5962)+~P21(x5963,x5965,x5962)+~P21(x5961,x5964,x5962)+~P21(f6(x5962),x5964,x5962)+~P21(f6(x5962),x5963,x5962)+P21(f19(f14(x5961,x5962),x5963),f19(f14(x5964,x5962),x5965),x5962)
% 0.19/0.78 [597]~P57(x5972)+~P21(x5973,x5975,x5972)+~P21(x5971,x5974,x5972)+~P21(f6(x5972),x5973,x5972)+~P21(f6(x5972),x5971,x5972)+P21(f19(f14(x5971,x5972),x5973),f19(f14(x5974,x5972),x5975),x5972)
% 0.19/0.78 [687]~P35(x6873)+~P35(x6874)+~P35(x6875)+~P8(x6872,x6876,x6875,x6873)+~P8(x6871,f19(x6872,x6876),x6873,x6874)+P8(f5(x6871,x6872,x6873,x6874,x6875),x6876,x6875,x6874)
% 0.19/0.78 [688]~P35(x6883)+~P35(x6884)+~P35(x6885)+~P8(x6882,x6886,x6885,x6883)+~P8(x6881,f19(x6882,x6886),x6883,x6884)+P8(f11(x6881,x6882,x6883,x6884,x6885),x6886,x6885,x6884)
% 0.19/0.78 [722]~P33(x7223)+~P33(x7224)+~P35(x7225)+~P15(x7221,x7223,x7224)+~P9(x7222,x7226,f6(x7223),x7225,x7223)+P9(f5(x7221,x7222,x7223,x7224,x7225),x7226,f6(x7224),x7225,x7224)
% 0.19/0.78 [697]~P35(x6973)+~P35(x6975)+~P18(x6971,x6972,x6973)+~P9(x6974,x6972,x6976,x6973,x6975)+P18(f5(x6974,x6971,x6973,x6975,a23),x6976,x6975)+E(f19(x6971,f17(x6971,x6972,x6973)),x6972)
% 0.19/0.78 [724]~P33(x7244)+~P33(x7243)+~P35(x7245)+~P15(x7241,x7243,x7244)+~P9(x7242,x7246,x7247,x7245,x7243)+P9(f5(x7241,x7242,x7243,x7244,x7245),x7246,f19(x7241,x7247),x7245,x7244)
% 0.19/0.78 [729]~P35(x7295)+~P35(x7294)+~P35(x7293)+~P8(x7291,x7297,x7293,x7294)+~P9(x7292,x7296,x7297,x7295,x7293)+P9(f5(x7291,x7292,x7293,x7294,x7295),x7296,f19(x7291,x7297),x7295,x7294)
% 0.19/0.78 [734]~P35(x7345)+~P35(x7344)+~P35(x7343)+~P9(x7342,x7346,x7347,x7345,x7343)+P9(f5(x7341,x7342,x7343,x7344,x7345),x7346,f19(x7341,x7347),x7345,x7344)+~P9(x7341,x7347,f19(x7341,x7347),x7343,x7344)
% 0.19/0.78 [735]~P35(x7355)+~P35(x7354)+~P35(x7353)+~P9(x7352,x7356,x7357,x7355,x7353)+P9(f11(x7351,x7352,x7353,x7354,x7355),x7356,f19(x7351,x7357),x7355,x7354)+~P9(x7351,x7357,f19(x7351,x7357),x7353,x7354)
% 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(f27(x41),f27(x42))
% 0.19/0.78 [5]~E(x51,x52)+E(f3(x51),f3(x52))
% 0.19/0.78 [6]~E(x61,x62)+E(f6(x61),f6(x62))
% 0.19/0.78 [7]~E(x71,x72)+E(f19(x71,x73),f19(x72,x73))
% 0.19/0.78 [8]~E(x81,x82)+E(f19(x83,x81),f19(x83,x82))
% 0.19/0.78 [9]~E(x91,x92)+E(f5(x91,x93,x94,x95,x96),f5(x92,x93,x94,x95,x96))
% 0.19/0.78 [10]~E(x101,x102)+E(f5(x103,x101,x104,x105,x106),f5(x103,x102,x104,x105,x106))
% 0.19/0.78 [11]~E(x111,x112)+E(f5(x113,x114,x111,x115,x116),f5(x113,x114,x112,x115,x116))
% 0.19/0.78 [12]~E(x121,x122)+E(f5(x123,x124,x125,x121,x126),f5(x123,x124,x125,x122,x126))
% 0.19/0.78 [13]~E(x131,x132)+E(f5(x133,x134,x135,x136,x131),f5(x133,x134,x135,x136,x132))
% 0.19/0.78 [14]~E(x141,x142)+E(f16(x141),f16(x142))
% 0.19/0.78 [15]~E(x151,x152)+E(f14(x151,x153),f14(x152,x153))
% 0.19/0.78 [16]~E(x161,x162)+E(f14(x163,x161),f14(x163,x162))
% 0.19/0.78 [17]~E(x171,x172)+E(f21(x171,x173),f21(x172,x173))
% 0.19/0.78 [18]~E(x181,x182)+E(f21(x183,x181),f21(x183,x182))
% 0.19/0.78 [19]~E(x191,x192)+E(f13(x191),f13(x192))
% 0.19/0.78 [20]~E(x201,x202)+E(f18(x201,x203),f18(x202,x203))
% 0.19/0.78 [21]~E(x211,x212)+E(f18(x213,x211),f18(x213,x212))
% 0.19/0.78 [22]~E(x221,x222)+E(f10(x221),f10(x222))
% 0.19/0.78 [23]~E(x231,x232)+E(f15(x231),f15(x232))
% 0.19/0.78 [24]~E(x241,x242)+E(f11(x241,x243,x244,x245,x246),f11(x242,x243,x244,x245,x246))
% 0.19/0.78 [25]~E(x251,x252)+E(f11(x253,x251,x254,x255,x256),f11(x253,x252,x254,x255,x256))
% 0.19/0.78 [26]~E(x261,x262)+E(f11(x263,x264,x261,x265,x266),f11(x263,x264,x262,x265,x266))
% 0.19/0.78 [27]~E(x271,x272)+E(f11(x273,x274,x275,x271,x276),f11(x273,x274,x275,x272,x276))
% 0.19/0.78 [28]~E(x281,x282)+E(f11(x283,x284,x285,x286,x281),f11(x283,x284,x285,x286,x282))
% 0.19/0.78 [29]~E(x291,x292)+E(f9(x291,x293),f9(x292,x293))
% 0.19/0.78 [30]~E(x301,x302)+E(f9(x303,x301),f9(x303,x302))
% 0.19/0.78 [31]~E(x311,x312)+E(f25(x311,x313),f25(x312,x313))
% 0.19/0.78 [32]~E(x321,x322)+E(f25(x323,x321),f25(x323,x322))
% 0.19/0.78 [33]~E(x331,x332)+E(f12(x331,x333,x334,x335),f12(x332,x333,x334,x335))
% 0.19/0.78 [34]~E(x341,x342)+E(f12(x343,x341,x344,x345),f12(x343,x342,x344,x345))
% 0.19/0.78 [35]~E(x351,x352)+E(f12(x353,x354,x351,x355),f12(x353,x354,x352,x355))
% 0.19/0.78 [36]~E(x361,x362)+E(f12(x363,x364,x365,x361),f12(x363,x364,x365,x362))
% 0.19/0.78 [37]~E(x371,x372)+E(f20(x371,x373,x374,x375),f20(x372,x373,x374,x375))
% 0.19/0.78 [38]~E(x381,x382)+E(f20(x383,x381,x384,x385),f20(x383,x382,x384,x385))
% 0.19/0.78 [39]~E(x391,x392)+E(f20(x393,x394,x391,x395),f20(x393,x394,x392,x395))
% 0.19/0.78 [40]~E(x401,x402)+E(f20(x403,x404,x405,x401),f20(x403,x404,x405,x402))
% 0.19/0.78 [41]~E(x411,x412)+E(f22(x411,x413,x414,x415),f22(x412,x413,x414,x415))
% 0.19/0.78 [42]~E(x421,x422)+E(f22(x423,x421,x424,x425),f22(x423,x422,x424,x425))
% 0.19/0.78 [43]~E(x431,x432)+E(f22(x433,x434,x431,x435),f22(x433,x434,x432,x435))
% 0.19/0.78 [44]~E(x441,x442)+E(f22(x443,x444,x445,x441),f22(x443,x444,x445,x442))
% 0.19/0.78 [45]~E(x451,x452)+E(f17(x451,x453,x454),f17(x452,x453,x454))
% 0.19/0.78 [46]~E(x461,x462)+E(f17(x463,x461,x464),f17(x463,x462,x464))
% 0.19/0.78 [47]~E(x471,x472)+E(f17(x473,x474,x471),f17(x473,x474,x472))
% 0.19/0.78 [48]~P1(x481)+P1(x482)+~E(x481,x482)
% 0.19/0.78 [49]~P12(x491)+P12(x492)+~E(x491,x492)
% 0.19/0.78 [50]~P2(x501)+P2(x502)+~E(x501,x502)
% 0.19/0.78 [51]~P31(x511)+P31(x512)+~E(x511,x512)
% 0.19/0.78 [52]~P35(x521)+P35(x522)+~E(x521,x522)
% 0.19/0.78 [53]~P32(x531)+P32(x532)+~E(x531,x532)
% 0.19/0.78 [54]~P34(x541)+P34(x542)+~E(x541,x542)
% 0.19/0.78 [55]~P54(x551)+P54(x552)+~E(x551,x552)
% 0.19/0.78 [56]~P33(x561)+P33(x562)+~E(x561,x562)
% 0.19/0.78 [57]P9(x572,x573,x574,x575,x576)+~E(x571,x572)+~P9(x571,x573,x574,x575,x576)
% 0.19/0.78 [58]P9(x583,x582,x584,x585,x586)+~E(x581,x582)+~P9(x583,x581,x584,x585,x586)
% 0.19/0.78 [59]P9(x593,x594,x592,x595,x596)+~E(x591,x592)+~P9(x593,x594,x591,x595,x596)
% 0.19/0.78 [60]P9(x603,x604,x605,x602,x606)+~E(x601,x602)+~P9(x603,x604,x605,x601,x606)
% 0.19/0.78 [61]P9(x613,x614,x615,x616,x612)+~E(x611,x612)+~P9(x613,x614,x615,x616,x611)
% 0.19/0.78 [62]P11(x622,x623,x624)+~E(x621,x622)+~P11(x621,x623,x624)
% 0.19/0.78 [63]P11(x633,x632,x634)+~E(x631,x632)+~P11(x633,x631,x634)
% 0.19/0.78 [64]P11(x643,x644,x642)+~E(x641,x642)+~P11(x643,x644,x641)
% 0.19/0.78 [65]P24(x652,x653,x654)+~E(x651,x652)+~P24(x651,x653,x654)
% 0.19/0.78 [66]P24(x663,x662,x664)+~E(x661,x662)+~P24(x663,x661,x664)
% 0.19/0.78 [67]P24(x673,x674,x672)+~E(x671,x672)+~P24(x673,x674,x671)
% 0.19/0.78 [68]~P42(x681)+P42(x682)+~E(x681,x682)
% 0.19/0.78 [69]P17(x692,x693,x694,x695,x696)+~E(x691,x692)+~P17(x691,x693,x694,x695,x696)
% 0.19/0.78 [70]P17(x703,x702,x704,x705,x706)+~E(x701,x702)+~P17(x703,x701,x704,x705,x706)
% 0.19/0.78 [71]P17(x713,x714,x712,x715,x716)+~E(x711,x712)+~P17(x713,x714,x711,x715,x716)
% 0.19/0.78 [72]P17(x723,x724,x725,x722,x726)+~E(x721,x722)+~P17(x723,x724,x725,x721,x726)
% 0.19/0.78 [73]P17(x733,x734,x735,x736,x732)+~E(x731,x732)+~P17(x733,x734,x735,x736,x731)
% 0.19/0.78 [74]~P40(x741)+P40(x742)+~E(x741,x742)
% 0.19/0.78 [75]P20(x752,x753)+~E(x751,x752)+~P20(x751,x753)
% 0.19/0.78 [76]P20(x763,x762)+~E(x761,x762)+~P20(x763,x761)
% 0.19/0.78 [77]~P48(x771)+P48(x772)+~E(x771,x772)
% 0.19/0.78 [78]~P55(x781)+P55(x782)+~E(x781,x782)
% 0.19/0.78 [79]P21(x792,x793,x794)+~E(x791,x792)+~P21(x791,x793,x794)
% 0.19/0.78 [80]P21(x803,x802,x804)+~E(x801,x802)+~P21(x803,x801,x804)
% 0.19/0.78 [81]P21(x813,x814,x812)+~E(x811,x812)+~P21(x813,x814,x811)
% 0.19/0.78 [82]~P3(x821)+P3(x822)+~E(x821,x822)
% 0.19/0.78 [83]~P57(x831)+P57(x832)+~E(x831,x832)
% 0.19/0.78 [84]P23(x842,x843)+~E(x841,x842)+~P23(x841,x843)
% 0.19/0.78 [85]P23(x853,x852)+~E(x851,x852)+~P23(x853,x851)
% 0.19/0.78 [86]~P43(x861)+P43(x862)+~E(x861,x862)
% 0.19/0.78 [87]P10(x872,x873,x874)+~E(x871,x872)+~P10(x871,x873,x874)
% 0.19/0.78 [88]P10(x883,x882,x884)+~E(x881,x882)+~P10(x883,x881,x884)
% 0.19/0.78 [89]P10(x893,x894,x892)+~E(x891,x892)+~P10(x893,x894,x891)
% 0.19/0.78 [90]P19(x902,x903)+~E(x901,x902)+~P19(x901,x903)
% 0.19/0.78 [91]P19(x913,x912)+~E(x911,x912)+~P19(x913,x911)
% 0.19/0.78 [92]~P26(x921)+P26(x922)+~E(x921,x922)
% 0.19/0.78 [93]~P46(x931)+P46(x932)+~E(x931,x932)
% 0.19/0.78 [94]~P6(x941)+P6(x942)+~E(x941,x942)
% 0.19/0.78 [95]~P56(x951)+P56(x952)+~E(x951,x952)
% 0.19/0.78 [96]~P36(x961)+P36(x962)+~E(x961,x962)
% 0.19/0.78 [97]P18(x972,x973,x974)+~E(x971,x972)+~P18(x971,x973,x974)
% 0.19/0.78 [98]P18(x983,x982,x984)+~E(x981,x982)+~P18(x983,x981,x984)
% 0.19/0.78 [99]P18(x993,x994,x992)+~E(x991,x992)+~P18(x993,x994,x991)
% 0.19/0.78 [100]~P14(x1001)+P14(x1002)+~E(x1001,x1002)
% 0.19/0.78 [101]~P30(x1011)+P30(x1012)+~E(x1011,x1012)
% 0.19/0.78 [102]~P44(x1021)+P44(x1022)+~E(x1021,x1022)
% 0.19/0.78 [103]~P38(x1031)+P38(x1032)+~E(x1031,x1032)
% 0.19/0.78 [104]~P39(x1041)+P39(x1042)+~E(x1041,x1042)
% 0.19/0.78 [105]~P60(x1051)+P60(x1052)+~E(x1051,x1052)
% 0.19/0.78 [106]~P27(x1061)+P27(x1062)+~E(x1061,x1062)
% 0.19/0.78 [107]~P49(x1071)+P49(x1072)+~E(x1071,x1072)
% 0.19/0.78 [108]~P58(x1081)+P58(x1082)+~E(x1081,x1082)
% 0.19/0.78 [109]~P28(x1091)+P28(x1092)+~E(x1091,x1092)
% 0.19/0.78 [110]P7(x1102,x1103,x1104)+~E(x1101,x1102)+~P7(x1101,x1103,x1104)
% 0.19/0.78 [111]P7(x1113,x1112,x1114)+~E(x1111,x1112)+~P7(x1113,x1111,x1114)
% 0.19/0.78 [112]P7(x1123,x1124,x1122)+~E(x1121,x1122)+~P7(x1123,x1124,x1121)
% 0.19/0.78 [113]~P59(x1131)+P59(x1132)+~E(x1131,x1132)
% 0.19/0.78 [114]P8(x1142,x1143,x1144,x1145)+~E(x1141,x1142)+~P8(x1141,x1143,x1144,x1145)
% 0.19/0.78 [115]P8(x1153,x1152,x1154,x1155)+~E(x1151,x1152)+~P8(x1153,x1151,x1154,x1155)
% 0.19/0.78 [116]P8(x1163,x1164,x1162,x1165)+~E(x1161,x1162)+~P8(x1163,x1164,x1161,x1165)
% 0.19/0.78 [117]P8(x1173,x1174,x1175,x1172)+~E(x1171,x1172)+~P8(x1173,x1174,x1175,x1171)
% 0.19/0.78 [118]~P50(x1181)+P50(x1182)+~E(x1181,x1182)
% 0.19/0.78 [119]P15(x1192,x1193,x1194)+~E(x1191,x1192)+~P15(x1191,x1193,x1194)
% 0.19/0.78 [120]P15(x1203,x1202,x1204)+~E(x1201,x1202)+~P15(x1203,x1201,x1204)
% 0.19/0.78 [121]P15(x1213,x1214,x1212)+~E(x1211,x1212)+~P15(x1213,x1214,x1211)
% 0.19/0.78 [122]P16(x1222,x1223,x1224,x1225)+~E(x1221,x1222)+~P16(x1221,x1223,x1224,x1225)
% 0.19/0.78 [123]P16(x1233,x1232,x1234,x1235)+~E(x1231,x1232)+~P16(x1233,x1231,x1234,x1235)
% 0.19/0.78 [124]P16(x1243,x1244,x1242,x1245)+~E(x1241,x1242)+~P16(x1243,x1244,x1241,x1245)
% 0.19/0.78 [125]P16(x1253,x1254,x1255,x1252)+~E(x1251,x1252)+~P16(x1253,x1254,x1255,x1251)
% 0.19/0.78 [126]~P45(x1261)+P45(x1262)+~E(x1261,x1262)
% 0.19/0.78 [127]~P53(x1271)+P53(x1272)+~E(x1271,x1272)
% 0.19/0.78 [128]~P37(x1281)+P37(x1282)+~E(x1281,x1282)
% 0.19/0.78 [129]~P29(x1291)+P29(x1292)+~E(x1291,x1292)
% 0.19/0.78 [130]~P51(x1301)+P51(x1302)+~E(x1301,x1302)
% 0.19/0.78 [131]~P13(x1311)+P13(x1312)+~E(x1311,x1312)
% 0.19/0.78 [132]~P47(x1321)+P47(x1322)+~E(x1321,x1322)
% 0.19/0.78 [133]~P52(x1331)+P52(x1332)+~E(x1331,x1332)
% 0.19/0.78 [134]~P62(x1341)+P62(x1342)+~E(x1341,x1342)
% 0.19/0.78 [135]~P63(x1351)+P63(x1352)+~E(x1351,x1352)
% 0.19/0.78 [136]P22(x1362,x1363,x1364)+~E(x1361,x1362)+~P22(x1361,x1363,x1364)
% 0.19/0.78 [137]P22(x1373,x1372,x1374)+~E(x1371,x1372)+~P22(x1373,x1371,x1374)
% 0.19/0.78 [138]P22(x1383,x1384,x1382)+~E(x1381,x1382)+~P22(x1383,x1384,x1381)
% 0.19/0.78 [139]~P25(x1391)+P25(x1392)+~E(x1391,x1392)
% 0.19/0.78 [140]~P5(x1401)+P5(x1402)+~E(x1401,x1402)
% 0.19/0.78 [141]~P61(x1411)+P61(x1412)+~E(x1411,x1412)
% 0.19/0.78 [142]~P41(x1421)+P41(x1422)+~E(x1421,x1422)
% 0.19/0.78 [143]~P4(x1431)+P4(x1432)+~E(x1431,x1432)
% 0.19/0.78
% 0.19/0.78 %-------------------------------------------
% 0.19/0.78 cnf(739,plain,
% 0.19/0.78 ($false),
% 0.19/0.78 inference(scs_inference,[],[221,268,266,738]),
% 0.19/0.78 ['proof']).
% 0.19/0.78 % SZS output end Proof
% 0.19/0.78 % Total time :0.020000s
%------------------------------------------------------------------------------