%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : SWV662-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n016.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  : 600s
% DateTime : Wed Jul 20 21:39:49 EDT 2022

% Result   : Unknown 0.74s 1.00s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWV662-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13  % Command  : sos-script %s
% 0.13/0.34  % Computer : n016.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  : 600
% 0.13/0.34  % DateTime : Wed Jun 15 21:18:33 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.57  ----- Otter 3.2, August 2001 -----
% 0.19/0.57  The process was started by sandbox on n016.cluster.edu,
% 0.19/0.57  Wed Jun 15 21:18:33 2022
% 0.19/0.57  The command was "./sos".  The process ID is 26245.
% 0.19/0.57  
% 0.19/0.57  set(prolog_style_variables).
% 0.19/0.57  set(auto).
% 0.19/0.57     dependent: set(auto1).
% 0.19/0.57     dependent: set(process_input).
% 0.19/0.57     dependent: clear(print_kept).
% 0.19/0.57     dependent: clear(print_new_demod).
% 0.19/0.57     dependent: clear(print_back_demod).
% 0.19/0.57     dependent: clear(print_back_sub).
% 0.19/0.57     dependent: set(control_memory).
% 0.19/0.57     dependent: assign(max_mem, 12000).
% 0.19/0.57     dependent: assign(pick_given_ratio, 4).
% 0.19/0.57     dependent: assign(stats_level, 1).
% 0.19/0.57     dependent: assign(pick_semantic_ratio, 3).
% 0.19/0.57     dependent: assign(sos_limit, 5000).
% 0.19/0.57     dependent: assign(max_weight, 60).
% 0.19/0.57  clear(print_given).
% 0.19/0.57  
% 0.19/0.57  list(usable).
% 0.19/0.57  
% 0.19/0.57  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=7.
% 0.19/0.57  
% 0.19/0.57  This ia a non-Horn set with equality.  The strategy will be
% 0.19/0.57  Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.19/0.57  unit deletion, with positive clauses in sos and nonpositive
% 0.19/0.57  clauses in usable.
% 0.19/0.57  
% 0.19/0.57     dependent: set(knuth_bendix).
% 0.19/0.57     dependent: set(para_from).
% 0.19/0.57     dependent: set(para_into).
% 0.19/0.57     dependent: clear(para_from_right).
% 0.19/0.57     dependent: clear(para_into_right).
% 0.19/0.57     dependent: set(para_from_vars).
% 0.19/0.57     dependent: set(eq_units_both_ways).
% 0.19/0.57     dependent: set(dynamic_demod_all).
% 0.19/0.57     dependent: set(dynamic_demod).
% 0.19/0.57     dependent: set(order_eq).
% 0.19/0.57     dependent: set(back_demod).
% 0.19/0.57     dependent: set(lrpo).
% 0.19/0.57     dependent: set(hyper_res).
% 0.19/0.57     dependent: set(unit_deletion).
% 0.19/0.57     dependent: set(factor).
% 0.19/0.57  
% 0.19/0.57  ------------> process usable:
% 0.19/0.57    Following clause subsumed by 4 during input processing: 0 [] {-} hAPP(hAPP(A,B),hAPP(c_Suc,C))=hAPP(hAPP(D,B),hAPP(hAPP(A,B),C))| -c_Groebner__Basis_Ogb__semiring(E,D,A,F,G,H).
% 0.19/0.57    Following clause subsumed by 19 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|B=C|c_HOL_Oord__class_Oless(B,C,A)|c_HOL_Oord__class_Oless(C,B,A).
% 0.19/0.57    Following clause subsumed by 19 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,C,A)|C=B|c_HOL_Oord__class_Oless(C,B,A).
% 0.19/0.57    Following clause subsumed by 20 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C| -c_lessequals(C,B,A)| -c_lessequals(B,C,A).
% 0.19/0.57    Following clause subsumed by 19 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,C,A)|c_HOL_Oord__class_Oless(C,B,A)|C=B.
% 0.19/0.57    Following clause subsumed by 20 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C| -c_lessequals(C,B,A)| -c_lessequals(B,C,A).
% 0.19/0.57    Following clause subsumed by 46 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__semiring__strict(A)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C),c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),C,A).
% 0.19/0.57    Following clause subsumed by 59 during input processing: 0 [] {-} hAPP(c_Suc,A)!=A.
% 0.19/0.57    Following clause subsumed by 84 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C|c_HOL_Oord__class_Oless(B,C,A)| -c_lessequals(B,C,A).
% 0.19/0.57    Following clause subsumed by 85 during input processing: 0 [] {-} A=B|c_HOL_Oord__class_Oless(A,B,tc_nat)| -c_lessequals(A,B,tc_nat).
% 0.19/0.57    Following clause subsumed by 85 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(A,B,tc_nat)|A=B| -c_lessequals(A,B,tc_nat).
% 0.19/0.57    Following clause subsumed by 84 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)|B=C| -c_lessequals(B,C,A).
% 0.19/0.57    Following clause subsumed by 84 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_lessequals(B,C,A)|B=C.
% 0.19/0.57    Following clause subsumed by 86 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|B=C|c_HOL_Oord__class_Oless(B,C,A)| -c_lessequals(B,C,A).
% 0.19/0.57    Following clause subsumed by 87 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)|C=B| -c_lessequals(B,C,A).
% 0.19/0.57    Following clause subsumed by 91 during input processing: 0 [] {-} -class_Ring__and__Field_Opordered__ring(A)|c_lessequals(c_HOL_Ozero__class_Ozero(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C),A)| -c_lessequals(C,c_HOL_Ozero__class_Ozero(A),A)| -c_lessequals(B,c_HOL_Ozero__class_Ozero(A),A).
% 0.19/0.57    Following clause subsumed by 104 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__semidom(A)|c_lessequals(B,C,tc_nat)| -c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(A),D),B),hAPP(hAPP(c_Power_Opower__class_Opower(A),D),C),A)| -c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(A),D,A).
% 0.19/0.57    Following clause subsumed by 157 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_lessequals(B,hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),C),D),A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),D,A)| -c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D),C,A).
% 0.19/0.57    Following clause subsumed by 158 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_lessequals(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),C),D,A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),C,A)| -c_lessequals(B,hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),C),A).
% 0.19/0.57    Following clause subsumed by 172 during input processing: 0 [] {-} c_lessequals(hAPP(c_Suc,A),B,tc_nat)| -c_HOL_Oord__class_Oless(A,B,tc_nat).
% 0.19/0.57    Following clause subsumed by 173 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(A,B,tc_nat)| -c_lessequals(hAPP(c_Suc,A),B,tc_nat).
% 0.19/0.57    Following clause subsumed by 180 during input processing: 0 [] {-} c_HOL_Ozero__class_Ozero(tc_nat)!=hAPP(c_Suc,A).
% 0.19/0.57    Following clause subsumed by 61 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__idom(A)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(A),B),c_Int_Onumber__class_Onumber__of(C,tc_nat)),c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A)|c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(C,tc_nat),tc_nat).
% 0.19/0.57    Following clause subsumed by 218 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),C),A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),C,A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),B,A).
% 0.19/0.57    Following clause subsumed by 217 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),C),A)| -c_HOL_Oord__class_Oless(C,c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A).
% 0.19/0.57    Following clause subsumed by 243 during input processing: 0 [flip.1] {-} hAPP(hAPP(A,hAPP(hAPP(A,B),C)),D)=hAPP(hAPP(A,B),hAPP(hAPP(A,C),D))| -c_Groebner__Basis_Ogb__semiring(E,A,F,G,H,I).
% 0.19/0.57    Following clause subsumed by 246 during input processing: 0 [flip.1] {-} hAPP(hAPP(A,hAPP(hAPP(A,B),C)),D)=hAPP(hAPP(A,B),hAPP(hAPP(A,C),D))| -c_Groebner__Basis_Ogb__semiring(A,E,F,G,H,I).
% 0.19/0.57    Following clause subsumed by 231 during input processing: 0 [] {-} hAPP(hAPP(A,B),C)=C| -c_Groebner__Basis_Ogb__semiring(A,D,E,B,F,G).
% 0.19/0.57    Following clause subsumed by 246 during input processing: 0 [flip.1] {-} hAPP(hAPP(A,hAPP(hAPP(A,B),C)),D)=hAPP(hAPP(A,B),hAPP(hAPP(A,C),D))| -c_Groebner__Basis_Ogb__semiring(A,E,F,G,H,I).
% 0.19/0.57    Following clause subsumed by 249 during input processing: 0 [] {-} hAPP(hAPP(A,B),C)=hAPP(hAPP(A,C),B)| -c_Groebner__Basis_Ogb__semiring(A,D,E,F,G,H).
% 0.19/0.57    Following clause subsumed by 235 during input processing: 0 [] {-} hAPP(hAPP(A,B),C)=B| -c_Groebner__Basis_Ogb__semiring(D,A,E,B,F,G).
% 0.19/0.57    Following clause subsumed by 237 during input processing: 0 [] {-} hAPP(hAPP(A,B),C)=C| -c_Groebner__Basis_Ogb__semiring(D,A,E,F,B,G).
% 0.19/0.57    Following clause subsumed by 243 during input processing: 0 [flip.1] {-} hAPP(hAPP(A,hAPP(hAPP(A,B),C)),D)=hAPP(hAPP(A,B),hAPP(hAPP(A,C),D))| -c_Groebner__Basis_Ogb__semiring(E,A,F,G,H,I).
% 0.19/0.57    Following clause subsumed by 233 during input processing: 0 [] {-} hAPP(hAPP(A,B),C)=hAPP(hAPP(A,C),B)| -c_Groebner__Basis_Ogb__semiring(D,A,E,F,G,H).
% 0.19/0.57    Following clause subsumed by 255 during input processing: 0 [] {-} -class_OrderedGroup_Opordered__ab__group__add__abs(A)|c_lessequals(hAPP(c_HOL_Oabs__class_Oabs(A),B),C,A)| -c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(A),B),C,A)| -c_lessequals(B,C,A).
% 0.19/0.57    Following clause subsumed by 260 during input processing: 0 [] {-} -class_Ring__and__Field_Opordered__cancel__semiring(A)|c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C),c_HOL_Ozero__class_Ozero(A),A)| -c_lessequals(C,c_HOL_Ozero__class_Ozero(A),A)| -c_lessequals(c_HOL_Ozero__class_Ozero(A),B,A).
% 0.19/0.57    Following clause subsumed by 261 during input processing: 0 [] {-} -class_Ring__and__Field_Opordered__cancel__semiring(A)|c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C),c_HOL_Ozero__class_Ozero(A),A)| -c_lessequals(c_HOL_Ozero__class_Ozero(A),C,A)| -c_lessequals(B,c_HOL_Ozero__class_Ozero(A),A).
% 0.19/0.57    Following clause subsumed by 261 during input processing: 0 [] {-} -class_Ring__and__Field_Opordered__cancel__semiring(A)|c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C),c_HOL_Ozero__class_Ozero(A),A)| -c_lessequals(B,c_HOL_Ozero__class_Ozero(A),A)| -c_lessequals(c_HOL_Ozero__class_Ozero(A),C,A).
% 0.19/0.57    Following clause subsumed by 280 during input processing: 0 [] {-} -c_HOL_Oord__class_Oless(A,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat).
% 0.19/0.57    Following clause subsumed by 284 during input processing: 0 [] {-} -c_lessequals(A,A,tc_nat)|c_HOL_Oord__class_Oless(A,hAPP(c_Suc,A),tc_nat).
% 0.19/0.57    Following clause subsumed by 292 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,B,A)|c_lessequals(B,B,A).
% 0.19/0.57    Following clause subsumed by 292 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_lessequals(B,C,A)|c_HOL_Oord__class_Oless(C,B,A).
% 0.19/0.57    Following clause subsumed by 292 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,C,A)|c_lessequals(C,B,A).
% 0.19/0.57    Following clause subsumed by 294 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -c_lessequals(B,C,A)| -c_HOL_Oord__class_Oless(C,B,A).
% 0.19/0.57    Following clause subsumed by 315 during input processing: 0 [] {-} c_lessequals(A,B,tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),C,tc_nat)| -c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),C),A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),C),B),tc_nat).
% 0.19/0.57    Following clause subsumed by 318 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__idom(A)|c_lessequals(c_HOL_Ozero__class_Ozero(A),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C),A)| -c_Parity_Oeven__odd__class_Oeven(C,tc_nat).
% 0.19/0.57    Following clause subsumed by 321 during input processing: 0 [] {-} -class_OrderedGroup_Ogroup__add(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(c_HOL_Ouminus__class_Ouminus(A),B)),B)=c_HOL_Ozero__class_Ozero(A).
% 0.19/0.57    Following clause subsumed by 60 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__idom(A)|c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(A),B),c_Int_Onumber__class_Onumber__of(C,tc_nat)),c_HOL_Ozero__class_Ozero(A),A)| -c_lessequals(B,c_HOL_Ozero__class_Ozero(A),A)|c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(C,tc_nat),tc_nat)|c_Int_Onumber__class_Onumber__of(C,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.19/0.57    Following clause subsumed by 356 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__ring__strict(A)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),C),A)| -c_HOL_Oord__class_Oless(C,c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(D,B,A).
% 0.19/0.57    Following clause subsumed by 359 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__ring__strict(A)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D),A)| -c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(D,C,A).
% 0.19/0.58    Following clause subsumed by 360 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__ring__strict(A)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D),A)| -c_HOL_Oord__class_Oless(C,D,A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),B,A).
% 0.19/0.58    Following clause subsumed by 359 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__ring__strict(A)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D),A)| -c_HOL_Oord__class_Oless(D,C,A)| -c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A).
% 0.19/0.58    Following clause subsumed by 364 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),B),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),C),tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),A,tc_nat)| -c_HOL_Oord__class_Oless(B,C,tc_nat).
% 0.19/0.58    Following clause subsumed by 71 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__idom(A)|B=c_HOL_Ozero__class_Ozero(A)| -c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(C,tc_nat),tc_nat)| -c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(A),B),c_Int_Onumber__class_Onumber__of(C,tc_nat)),c_HOL_Ozero__class_Ozero(A),A).
% 0.19/0.58    Following clause subsumed by 401 during input processing: 0 [] {-} hAPP(c_Suc,A)!=hAPP(c_Suc,B)|A=B.
% 0.19/0.58    Following clause subsumed by 413 during input processing: 0 [] {-} A=B|c_HOL_Oord__class_Oless(A,B,tc_nat)| -c_HOL_Oord__class_Oless(A,hAPP(c_Suc,B),tc_nat).
% 0.19/0.58    Following clause subsumed by 204 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__idom(A)|c_Int_Onumber__class_Onumber__of(B,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),hAPP(hAPP(c_Power_Opower__class_Opower(A),c_HOL_Ozero__class_Ozero(A)),c_Int_Onumber__class_Onumber__of(B,tc_nat)),A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),c_HOL_Ozero__class_Ozero(A),A).
% 0.19/0.58    Following clause subsumed by 421 during input processing: 0 [] {-} -c_HOL_Oord__class_Oless(A,A,tc_nat).
% 0.19/0.58    Following clause subsumed by 432 during input processing: 0 [] {-} hAPP(c_Suc,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),A),c_HOL_Oone__class_Oone(tc_nat)))=A| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),A,tc_nat).
% 0.19/0.58    Following clause subsumed by 434 during input processing: 0 [] {-} c_lessequals(A,B,tc_nat)| -c_HOL_Oord__class_Oless(A,B,tc_nat).
% 0.19/0.58    Following clause subsumed by 438 during input processing: 0 [] {-} hAPP(c_Suc,A)!=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.19/0.58    Following clause subsumed by 190 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__idom(A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),B,A)|c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(C,tc_nat),tc_nat)|c_Int_Onumber__class_Onumber__of(C,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),c_Int_Onumber__class_Onumber__of(C,tc_nat)),A).
% 0.19/0.58    Following clause subsumed by 364 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),B),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),C),tc_nat)| -c_HOL_Oord__class_Oless(B,C,tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),A,tc_nat).
% 0.19/0.58    Following clause subsumed by 366 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),B),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),C),B),tc_nat)| -c_HOL_Oord__class_Oless(A,C,tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),B,tc_nat).
% 0.19/0.58    Following clause subsumed by 305 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__idom(A)| -c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(B,tc_nat),tc_nat)|c_Int_Onumber__class_Onumber__of(B,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(A),c_HOL_Ozero__class_Ozero(A)),c_Int_Onumber__class_Onumber__of(B,tc_nat)),c_HOL_Ozero__class_Ozero(A),A).
% 0.19/0.58    Following clause subsumed by 459 during input processing: 0 [flip.2] {-} -class_OrderedGroup_Ogroup__add(A)|hAPP(c_HOL_Ouminus__class_Ouminus(A),hAPP(c_HOL_Ouminus__class_Ouminus(A),B))=B.
% 0.19/0.58    Following clause subsumed by 459 during input processing: 0 [flip.2] {-} -class_OrderedGroup_Ogroup__add(A)|hAPP(c_HOL_Ouminus__class_Ouminus(A),hAPP(c_HOL_Ouminus__class_Ouminus(A),B))=B.
% 0.19/0.58    Following clause subsumed by 459 during input processing: 0 [] {-} -class_OrderedGroup_Ogroup__add(A)|hAPP(c_HOL_Ouminus__class_Ouminus(A),hAPP(c_HOL_Ouminus__class_Ouminus(A),B))=B.
% 0.19/0.58    Following clause subsumed by 463 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(hAPP(c_Suc,A),hAPP(c_Suc,B),tc_nat)| -c_HOL_Oord__class_Oless(A,B,tc_nat).
% 0.19/0.58    Following clause subsumed by 465 during input processing: 0 [] {-} -class_OrderedGroup_Opordered__ab__group__add(A)|c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(A),B),C,A)| -c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(A),C),B,A).
% 0.19/0.58    Following clause subsumed by 466 during input processing: 0 [] {-} -class_OrderedGroup_Opordered__ab__group__add(A)|c_HOL_Oord__class_Oless(B,hAPP(c_HOL_Ouminus__class_Ouminus(A),C),A)| -c_HOL_Oord__class_Oless(C,hAPP(c_HOL_Ouminus__class_Ouminus(A),B),A).
% 0.19/0.58    Following clause subsumed by 467 during input processing: 0 [] {-} -class_OrderedGroup_Opordered__ab__group__add(A)|c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(A),B),C,A)| -c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(A),C),B,A).
% 0.19/0.58    Following clause subsumed by 468 during input processing: 0 [] {-} -class_OrderedGroup_Opordered__ab__group__add(A)|c_lessequals(B,hAPP(c_HOL_Ouminus__class_Ouminus(A),C),A)| -c_lessequals(C,hAPP(c_HOL_Ouminus__class_Ouminus(A),B),A).
% 0.19/0.58    Following clause subsumed by 470 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)| -class_RealVector_Ometric__space(B)|c_Lim_OLIM(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(A),C),D,A,A,B),E,c_HOL_Ozero__class_Ozero(A),B,A)| -c_Lim_OLIM(D,E,c_HOL_Ozero__class_Ozero(A),B,A).
% 0.19/0.58    Following clause subsumed by 481 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),c_HOL_Ozero__class_Ozero(A))=c_HOL_Ozero__class_Ozero(A).
% 0.19/0.58    Following clause subsumed by 482 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_HOL_Ozero__class_Ozero(A)),B)=c_HOL_Ozero__class_Ozero(A).
% 0.19/0.58    Following clause subsumed by 480 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_HOL_Ozero__class_Ozero(A)),B)=c_HOL_Ozero__class_Ozero(A).
% 0.19/0.58    Following clause subsumed by 489 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),hAPP(c_HOL_Ouminus__class_Ouminus(A),C))=hAPP(c_HOL_Ouminus__class_Ouminus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)).
% 0.19/0.58    Following clause subsumed by 490 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),hAPP(c_HOL_Ouminus__class_Ouminus(A),B)),C)=hAPP(c_HOL_Ouminus__class_Ouminus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)).
% 0.19/0.58    Following clause subsumed by 498 during input processing: 0 [] {-} -class_Ring__and__Field_Ono__zero__divisors(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)!=c_HOL_Ozero__class_Ozero(A)|B=c_HOL_Ozero__class_Ozero(A)|C=c_HOL_Ozero__class_Ozero(A).
% 0.19/0.58    Following clause subsumed by 294 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -class_Int_Onumber(A)| -c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(B,A),c_Int_Onumber__class_Onumber__of(C,A),A)| -c_lessequals(c_Int_Onumber__class_Onumber__of(C,A),c_Int_Onumber__class_Onumber__of(B,A),A).
% 0.19/0.58    Following clause subsumed by 292 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -class_Int_Onumber(A)|c_lessequals(c_Int_Onumber__class_Onumber__of(B,A),c_Int_Onumber__class_Onumber__of(C,A),A)|c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(C,A),c_Int_Onumber__class_Onumber__of(B,A),A).
% 0.19/0.58    Following clause subsumed by 114 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__idom(A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),c_Int_Onumber__class_Onumber__of(C,tc_nat)),A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),B,A)|c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(C,tc_nat),tc_nat).
% 0.19/0.58    Following clause subsumed by 540 during input processing: 0 [] {-} -hBOOL(hAPP(A,c_HOL_Ozero__class_Ozero(tc_nat)))|hBOOL(hAPP(A,c_Divides_Odiv__class_Odiv(B,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))).
% 0.19/0.58    Following clause subsumed by 421 during input processing: 0 [] {-} -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat).
% 0.19/0.58    Following clause subsumed by 447 during input processing: 0 [] {-} -class_OrderedGroup_Ogroup__add(A)|hAPP(c_HOL_Ouminus__class_Ouminus(A),c_HOL_Ozero__class_Ozero(A))=c_HOL_Ozero__class_Ozero(A).
% 0.19/0.58    Following clause subsumed by 328 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),A),B),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),C),B),tc_nat)| -c_HOL_Oord__class_Oless(A,C,tc_nat)| -c_lessequals(B,C,tc_nat)| -c_lessequals(B,A,tc_nat).
% 0.19/0.58    Following clause subsumed by 455 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_lessequals(c_Int_Onumber__class_Onumber__of(B,A),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),C),D),A)| -c_lessequals(c_Int_Onumber__class_Onumber__of(B,A),c_HOL_Ozero__class_Ozero(A),A)|c_HOL_Oord__class_Oless(D,c_HOL_Ozero__class_Ozero(A),A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),D,A).
% 0.19/0.58    Following clause subsumed by 456 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_lessequals(c_Int_Onumber__class_Onumber__of(B,A),c_HOL_Ozero__class_Ozero(A),A)|c_HOL_Oord__class_Oless(C,c_HOL_Ozero__class_Ozero(A),A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),C,A)| -c_lessequals(c_Int_Onumber__class_Onumber__of(B,A),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),D),C),A).
% 0.19/0.58    Following clause subsumed by 422 during input processing: 0 [] {-} -c_HOL_Oord__class_Oless(c_Int_OMin,c_Int_OMin,tc_Int_Oint).
% 0.19/0.58    Following clause subsumed by 562 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),C),c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(C,c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),B,A).
% 0.19/0.58    Following clause subsumed by 561 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),C),c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),C,A)| -c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A).
% 0.19/0.58    Following clause subsumed by 265 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__idom(A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),c_Int_Onumber__class_Onumber__of(C,tc_nat)),A)|B=c_HOL_Ozero__class_Ozero(A)| -c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(C,tc_nat),tc_nat).
% 0.19/0.58    Following clause subsumed by 98 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__idom(A)|c_Int_Onumber__class_Onumber__of(B,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),hAPP(hAPP(c_Power_Opower__class_Opower(A),c_HOL_Ozero__class_Ozero(A)),c_Int_Onumber__class_Onumber__of(B,tc_nat)),A)| -c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(B,tc_nat),tc_nat).
% 0.19/0.58    Following clause subsumed by 375 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__idom(A)|c_lessequals(c_HOL_Ozero__class_Ozero(A),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C),A)| -c_lessequals(c_HOL_Ozero__class_Ozero(A),B,A)|c_Parity_Oeven__odd__class_Oeven(C,tc_nat).
% 0.19/0.58    Following clause subsumed by 584 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__idom(A)|c_lessequals(c_HOL_Ozero__class_Ozero(A),B,A)| -c_lessequals(c_HOL_Ozero__class_Ozero(A),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C),A)|c_Parity_Oeven__odd__class_Oeven(C,tc_nat).
% 0.19/0.58    Following clause subsumed by 375 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__idom(A)|c_lessequals(c_HOL_Ozero__class_Ozero(A),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C),A)| -c_lessequals(c_HOL_Ozero__class_Ozero(A),B,A)|c_Parity_Oeven__odd__class_Oeven(C,tc_nat).
% 0.19/0.58    Following clause subsumed by 584 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__idom(A)|c_lessequals(c_HOL_Ozero__class_Ozero(A),B,A)|c_Parity_Oeven__odd__class_Oeven(C,tc_nat)| -c_lessequals(c_HOL_Ozero__class_Ozero(A),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C),A).
% 0.19/0.58    Following clause subsumed by 594 during input processing: 0 [] {-} -class_Orderings_Opreorder(A)| -c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(C,B,A).
% 0.19/0.58    Following clause subsumed by 616 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),c_HOL_Ozero__class_Ozero(A)),B)=B.
% 0.19/0.58    Following clause subsumed by 640 during input processing: 0 [] {-} -class_OrderedGroup_Ogroup__add(A)|hAPP(hAPP(c_HOL_Ominus__class_Ominus(A),B),B)=c_HOL_Ozero__class_Ozero(A).
% 0.19/0.58    Following clause subsumed by 648 during input processing: 0 [] {-} -class_Int_Onumber__ring(A)|hAPP(c_HOL_Ouminus__class_Ouminus(A),c_HOL_Oone__class_Oone(A))=c_Int_Onumber__class_Onumber__of(c_Int_OMin,A).
% 0.19/0.58    Following clause subsumed by 651 during input processing: 0 [flip.2] {-} -class_Ring__and__Field_Ozero__neq__one(A)|c_HOL_Ozero__class_Ozero(A)!=c_HOL_Oone__class_Oone(A).
% 0.19/0.58    Following clause subsumed by 266 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_lessequals(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),C),c_Int_Onumber__class_Onumber__of(D,A),A)| -c_lessequals(c_HOL_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(D,A),A)| -c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(D,A)),C),B,A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),C,A).
% 0.19/0.58    Following clause subsumed by 267 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_lessequals(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),C),c_Int_Onumber__class_Onumber__of(D,A),A)| -c_lessequals(c_HOL_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(D,A),A)|c_HOL_Oord__class_Oless(C,c_HOL_Ozero__class_Ozero(A),A)| -c_lessequals(B,hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(D,A)),C),A).
% 0.19/0.58    Following clause subsumed by 268 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_lessequals(B,hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),C),c_Int_Onumber__class_Onumber__of(D,A)),A)| -c_lessequals(B,c_HOL_Ozero__class_Ozero(A),A)| -c_lessequals(C,hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),c_Int_Onumber__class_Onumber__of(D,A)),A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(D,A),A).
% 0.19/0.58    Following clause subsumed by 266 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_lessequals(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),c_Int_Onumber__class_Onumber__of(C,A)),D,A)| -c_lessequals(c_HOL_Ozero__class_Ozero(A),D,A)| -c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),c_Int_Onumber__class_Onumber__of(C,A)),B,A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(C,A),A).
% 0.19/0.58    Following clause subsumed by 557 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_lessequals(B,hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(C,A)),D),A)| -c_HOL_Oord__class_Oless(D,c_HOL_Ozero__class_Ozero(A),A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),D,A)| -c_lessequals(c_Int_Onumber__class_Onumber__of(C,A),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),D),A).
% 0.19/0.58    Following clause subsumed by 558 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_lessequals(c_Int_Onumber__class_Onumber__of(B,A),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),C),D),A)| -c_HOL_Oord__class_Oless(D,c_HOL_Ozero__class_Ozero(A),A)| -c_lessequals(C,hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(B,A)),D),A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),D,A).
% 0.19/0.58    Following clause subsumed by 558 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_lessequals(B,hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),C),c_Int_Onumber__class_Onumber__of(D,A)),A)| -c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(D,A),c_HOL_Ozero__class_Ozero(A),A)| -c_lessequals(C,hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),c_Int_Onumber__class_Onumber__of(D,A)),A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(D,A),A).
% 0.19/0.58    Following clause subsumed by 557 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_lessequals(B,hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),C),c_Int_Onumber__class_Onumber__of(D,A)),A)| -c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(D,A),c_HOL_Ozero__class_Ozero(A),A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(D,A),A)| -c_lessequals(C,hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),c_Int_Onumber__class_Onumber__of(D,A)),A).
% 0.19/0.58    Following clause subsumed by 556 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_lessequals(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),c_Int_Onumber__class_Onumber__of(C,A)),D,A)| -c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(C,A),c_HOL_Ozero__class_Ozero(A),A)| -c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),c_Int_Onumber__class_Onumber__of(C,A)),B,A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(C,A),A).
% 0.19/0.58    Following clause subsumed by 555 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),c_Int_Onumber__class_Onumber__of(C,A)),D,A)| -c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(C,A),c_HOL_Ozero__class_Ozero(A),A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(C,A),A)| -c_lessequals(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),D),c_Int_Onumber__class_Onumber__of(C,A)),B,A).
% 0.19/0.58    Following clause subsumed by 126 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_lessequals(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),C),c_Int_Onumber__class_Onumber__of(D,A),A)| -c_HOL_Oord__class_Oless(C,c_HOL_Ozero__class_Ozero(A),A)| -c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(D,A)),C),B,A)| -c_lessequals(B,hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(D,A)),C),A).
% 0.19/0.58    Following clause subsumed by 125 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_lessequals(B,hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),C),c_Int_Onumber__class_Onumber__of(D,A)),A)| -c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(D,A),c_HOL_Ozero__class_Ozero(A),A)| -c_lessequals(C,hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),c_Int_Onumber__class_Onumber__of(D,A)),A)| -c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),c_Int_Onumber__class_Onumber__of(D,A)),C,A).
% 0.19/0.58    Following clause subsumed by 126 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_lessequals(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),c_Int_Onumber__class_Onumber__of(C,A)),D,A)| -c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(C,A),c_HOL_Ozero__class_Ozero(A),A)| -c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),c_Int_Onumber__class_Onumber__of(C,A)),B,A)| -c_lessequals(B,hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),c_Int_Onumber__class_Onumber__of(C,A)),A).
% 0.19/0.58    Following clause subsumed by 160 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_lessequals(B,hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(C,A)),D),A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),D,A)| -c_lessequals(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),D),c_Int_Onumber__class_Onumber__of(C,A),A).
% 0.19/0.58    Following clause subsumed by 158 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_lessequals(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),C),c_Int_Onumber__class_Onumber__of(D,A),A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),C,A)| -c_lessequals(B,hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(D,A)),C),A).
% 0.19/0.58    Following clause subsumed by 269 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_lessequals(B,hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),C),c_Int_Onumber__class_Onumber__of(D,A)),A)| -c_lessequals(B,c_HOL_Ozero__class_Ozero(A),A)|c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(D,A),c_HOL_Ozero__class_Ozero(A),A)| -c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),c_Int_Onumber__class_Onumber__of(D,A)),C,A).
% 0.19/0.58    Following clause subsumed by 267 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_lessequals(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),c_Int_Onumber__class_Onumber__of(C,A)),D,A)| -c_lessequals(c_HOL_Ozero__class_Ozero(A),D,A)|c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(C,A),c_HOL_Ozero__class_Ozero(A),A)| -c_lessequals(B,hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),c_Int_Onumber__class_Onumber__of(C,A)),A).
% 0.19/0.58    Following clause subsumed by 268 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_lessequals(c_Int_Onumber__class_Onumber__of(B,A),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),C),D),A)| -c_lessequals(c_Int_Onumber__class_Onumber__of(B,A),c_HOL_Ozero__class_Ozero(A),A)| -c_lessequals(C,hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(B,A)),D),A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),D,A).
% 0.19/0.58    Following clause subsumed by 269 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_lessequals(c_Int_Onumber__class_Onumber__of(B,A),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),C),D),A)| -c_lessequals(c_Int_Onumber__class_Onumber__of(B,A),c_HOL_Ozero__class_Ozero(A),A)|c_HOL_Oord__class_Oless(D,c_HOL_Ozero__class_Ozero(A),A)| -c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(B,A)),D),C,A).
% 0.19/0.58    Following clause subsumed by 159 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(B,A)),C),D,A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),C,A)| -c_lessequals(c_Int_Onumber__class_Onumber__of(B,A),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),D),C),A).
% 0.19/0.58    Following clause subsumed by 157 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_lessequals(c_Int_Onumber__class_Onumber__of(B,A),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),C),D),A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),D,A)| -c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(B,A)),D),C,A).
% 0.19/0.58    Following clause subsumed by 125 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_lessequals(c_Int_Onumber__class_Onumber__of(B,A),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),C),D),A)| -c_HOL_Oord__class_Oless(D,c_HOL_Ozero__class_Ozero(A),A)| -c_lessequals(C,hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(B,A)),D),A)| -c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(B,A)),D),C,A).
% 0.19/0.58    Following clause subsumed by 555 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(B,A)),C),D,A)| -c_HOL_Oord__class_Oless(C,c_HOL_Ozero__class_Ozero(A),A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),C,A)| -c_lessequals(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),D),C),c_Int_Onumber__class_Onumber__of(B,A),A).
% 0.19/0.58    Following clause subsumed by 556 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_lessequals(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),C),c_Int_Onumber__class_Onumber__of(D,A),A)| -c_HOL_Oord__class_Oless(C,c_HOL_Ozero__class_Ozero(A),A)| -c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(D,A)),C),B,A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),C,A).
% 0.19/0.58    Following clause subsumed by 157 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_lessequals(B,hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),C),c_Int_Onumber__class_Onumber__of(D,A)),A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(D,A),A)| -c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),c_Int_Onumber__class_Onumber__of(D,A)),C,A).
% 0.19/0.58    Following clause subsumed by 159 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),c_Int_Onumber__class_Onumber__of(C,A)),D,A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(C,A),A)| -c_lessequals(B,hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),D),c_Int_Onumber__class_Onumber__of(C,A)),A).
% 0.19/0.58    Following clause subsumed by 158 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_lessequals(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),c_Int_Onumber__class_Onumber__of(C,A)),D,A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(C,A),A)| -c_lessequals(B,hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),c_Int_Onumber__class_Onumber__of(C,A)),A).
% 0.19/0.58    Following clause subsumed by 160 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_lessequals(B,hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),C),c_Int_Onumber__class_Onumber__of(D,A)),A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(D,A),A)| -c_lessequals(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),c_Int_Onumber__class_Onumber__of(D,A)),C,A).
% 0.19/0.58    Following clause subsumed by 668 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oord__class_Oless(B,hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),C),D),A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),D,A)| -c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D),C,A).
% 0.19/0.58    Following clause subsumed by 669 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),C),D,A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),C,A)| -c_HOL_Oord__class_Oless(B,hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),C),A).
% 0.19/0.58    Following clause subsumed by 212 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(B,A),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),C),D),A)| -c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(B,A),c_HOL_Ozero__class_Ozero(A),A)|c_HOL_Oord__class_Oless(D,c_HOL_Ozero__class_Ozero(A),A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),D,A).
% 0.19/0.58    Following clause subsumed by 211 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(B,A),c_HOL_Ozero__class_Ozero(A),A)|c_HOL_Oord__class_Oless(C,c_HOL_Ozero__class_Ozero(A),A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),C,A)| -c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(B,A),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),D),C),A).
% 0.19/0.58    Following clause subsumed by 210 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),C),c_Int_Onumber__class_Onumber__of(D,A),A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(D,A),A)|c_HOL_Oord__class_Oless(C,c_HOL_Ozero__class_Ozero(A),A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),C,A).
% 0.19/0.58    Following clause subsumed by 209 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(B,A),A)|c_HOL_Oord__class_Oless(C,c_HOL_Ozero__class_Ozero(A),A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),C,A)| -c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),D),C),c_Int_Onumber__class_Onumber__of(B,A),A).
% 0.19/0.58    Following clause subsumed by 212 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_HOL_Oord__class_Oless(B,hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),C),c_Int_Onumber__class_Onumber__of(D,A)),A)| -c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A)|c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(D,A),c_HOL_Ozero__class_Ozero(A),A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(D,A),A).
% 0.19/0.58    Following clause subsumed by 211 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A)|c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(C,A),c_HOL_Ozero__class_Ozero(A),A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(C,A),A)| -c_HOL_Oord__class_Oless(B,hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),D),c_Int_Onumber__class_Onumber__of(C,A)),A).
% 0.19/0.59    Following clause subsumed by 210 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),c_Int_Onumber__class_Onumber__of(C,A)),D,A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),D,A)|c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(C,A),c_HOL_Ozero__class_Ozero(A),A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(C,A),A).
% 0.19/0.59    Following clause subsumed by 209 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),B,A)|c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(C,A),c_HOL_Ozero__class_Ozero(A),A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(C,A),A)| -c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),D),c_Int_Onumber__class_Onumber__of(C,A)),B,A).
% 0.19/0.59    Following clause subsumed by 128 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__semidom(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_lessequals(c_HOL_Ozero__class_Ozero(A),C,A)| -c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(A),B),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),hAPP(hAPP(c_Power_Opower__class_Opower(A),C),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),A).
% 0.19/0.59    Following clause subsumed by 694 during input processing: 0 [flip.2] {-} -class_OrderedGroup_Oab__group__add(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),hAPP(c_HOL_Ouminus__class_Ouminus(A),C))=hAPP(hAPP(c_HOL_Ominus__class_Ominus(A),B),C).
% 0.19/0.59    Following clause subsumed by 705 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_Power_Opower__class_Opower(A),B),hAPP(c_Suc,C))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C)).
% 0.19/0.59    Following clause subsumed by 705 during input processing: 0 [flip.2] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_Power_Opower__class_Opower(A),B),hAPP(c_Suc,C))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C)).
% 0.19/0.59    Following clause subsumed by 712 during input processing: 0 [flip.3] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)),C)=B|C=c_HOL_Ozero__class_Ozero(A).
% 0.19/0.59    Following clause subsumed by 713 during input processing: 0 [flip.3] {-} -class_Ring__and__Field_Ofield(A)|B=c_HOL_Ozero__class_Ozero(A)|hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),C),B)),B)=C.
% 0.19/0.59    Following clause subsumed by 717 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),C)),C)=B|C=c_HOL_Ozero__class_Ozero(A).
% 0.19/0.59    Following clause subsumed by 715 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_HOL_Ozero__class_Ozero(A)),B)),B)=c_HOL_Ozero__class_Ozero(A).
% 0.19/0.59    Following clause subsumed by 721 during input processing: 0 [] {-} -class_Int_Onumber__ring(A)|c_HOL_Ozero__class_Ozero(A)=c_Int_Onumber__class_Onumber__of(c_Int_OPls,A).
% 0.19/0.59    Following clause subsumed by 737 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)|B=c_HOL_Ozero__class_Ozero(A)|hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),B)=c_HOL_Oone__class_Oone(A).
% 0.19/0.59    Following clause subsumed by 742 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(A,B,tc_Int_Oint)| -c_HOL_Oord__class_Oless(c_Int_OBit1(A),c_Int_OBit0(B),tc_Int_Oint).
% 0.19/0.59    Following clause subsumed by 743 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(c_Int_OBit1(A),c_Int_OBit0(B),tc_Int_Oint)| -c_HOL_Oord__class_Oless(A,B,tc_Int_Oint).
% 0.19/0.59    Following clause subsumed by 676 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__semidom(A)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),D),A)| -c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(A),B,A)| -c_HOL_Oord__class_Oless(C,D,tc_nat).
% 0.19/0.59    Following clause subsumed by 677 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__semidom(A)|c_HOL_Oord__class_Oless(B,C,tc_nat)| -c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(A),D),B),hAPP(hAPP(c_Power_Opower__class_Opower(A),D),C),A)| -c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(A),D,A).
% 0.19/0.59    Following clause subsumed by 732 during input processing: 0 [] {-} -class_Ring__and__Field_Osemiring__0(A)| -class_Power_Opower(A)|hAPP(hAPP(c_Power_Opower__class_Opower(A),c_HOL_Ozero__class_Ozero(A)),c_HOL_Ozero__class_Ozero(tc_nat))=c_HOL_Oone__class_Oone(A).
% 0.19/0.59    Following clause subsumed by 776 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(c_Int_OBit1(A),c_Int_OBit1(B),tc_Int_Oint)| -c_HOL_Oord__class_Oless(A,B,tc_Int_Oint).
% 0.19/0.59    Following clause subsumed by 777 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(A,B,tc_Int_Oint)| -c_HOL_Oord__class_Oless(c_Int_OBit1(A),c_Int_OBit1(B),tc_Int_Oint).
% 0.19/0.59    Following clause subsumed by 778 during input processing: 0 [flip.1] {-} c_Int_OPls!=c_Int_OMin.
% 0.19/0.59    Following clause subsumed by 422 during input processing: 0 [] {-} -c_HOL_Oord__class_Oless(c_Int_OPls,c_Int_OPls,tc_Int_Oint).
% 0.19/0.59    Following clause subsumed by 784 during input processing: 0 [] {-} c_Int_OBit0(A)!=c_Int_OMin.
% 0.19/0.59    Following clause subsumed by 785 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(c_Int_OBit0(A),c_Int_OBit0(B),tc_Int_Oint)| -c_HOL_Oord__class_Oless(A,B,tc_Int_Oint).
% 0.19/0.59    Following clause subsumed by 786 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(A,B,tc_Int_Oint)| -c_HOL_Oord__class_Oless(c_Int_OBit0(A),c_Int_OBit0(B),tc_Int_Oint).
% 0.19/0.59    Following clause subsumed by 335 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__idom(A)|hAPP(hAPP(c_Power_Opower__class_Opower(A),hAPP(c_HOL_Oabs__class_Oabs(A),B)),c_Int_Onumber__class_Onumber__of(C,tc_nat))=hAPP(hAPP(c_Power_Opower__class_Opower(A),B),c_Int_Onumber__class_Onumber__of(C,tc_nat))| -c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(C,tc_nat),tc_nat).
% 0.19/0.59    Following clause subsumed by 38 during input processing: 0 [] {-} -class_Ring__and__Field_Ozero__neq__one(A)| -class_Ring__and__Field_Ono__zero__divisors(A)| -class_Ring__and__Field_Omult__zero(A)| -class_Power_Opower(A)|hAPP(hAPP(c_Power_Opower__class_Opower(A),c_HOL_Ozero__class_Ozero(A)),c_Int_Onumber__class_Onumber__of(B,tc_nat))=c_HOL_Ozero__class_Ozero(A)|c_Int_Onumber__class_Onumber__of(B,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.19/0.59    Following clause subsumed by 39 during input processing: 0 [] {-} -class_Ring__and__Field_Osemiring__0(A)| -class_Power_Opower(A)|hAPP(hAPP(c_Power_Opower__class_Opower(A),c_HOL_Ozero__class_Ozero(A)),c_Int_Onumber__class_Onumber__of(B,tc_nat))=c_HOL_Ozero__class_Ozero(A)|c_Int_Onumber__class_Onumber__of(B,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.19/0.59    Following clause subsumed by 307 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__idom(A)|B=c_HOL_Ozero__class_Ozero(A)|c_lessequals(B,c_HOL_Ozero__class_Ozero(A),A)| -c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(A),B),c_Int_Onumber__class_Onumber__of(C,tc_nat)),c_HOL_Ozero__class_Ozero(A),A).
% 0.19/0.59    Following clause subsumed by 306 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__idom(A)|c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(A),B),c_Int_Onumber__class_Onumber__of(C,tc_nat)),c_HOL_Ozero__class_Ozero(A),A).
% 0.19/0.59    Following clause subsumed by 791 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),c_HOL_Ozero__class_Ozero(A)),c_HOL_Ozero__class_Ozero(A))=c_HOL_Ozero__class_Ozero(A).
% 0.19/0.59    Following clause subsumed by 791 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),c_HOL_Ozero__class_Ozero(A))=c_HOL_Ozero__class_Ozero(A).
% 0.19/0.59    Following clause subsumed by 791 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),c_HOL_Ozero__class_Ozero(A))=c_HOL_Ozero__class_Ozero(A).
% 0.19/0.59    Following clause subsumed by 812 during input processing: 0 [] {-} c_Parity_Oeven__odd__class_Oeven(A,tc_nat)| -c_Parity_Oeven__odd__class_Oeven(B,tc_nat)| -c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),A),tc_nat).
% 0.19/0.59    Following clause subsumed by 811 during input processing: 0 [] {-} c_Parity_Oeven__odd__class_Oeven(A,tc_nat)| -c_Parity_Oeven__odd__class_Oeven(B,tc_nat)| -c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B),tc_nat).
% 0.19/0.59    Following clause subsumed by 810 during input processing: 0 [] {-} c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B),tc_nat)| -c_Parity_Oeven__odd__class_Oeven(B,tc_nat)| -c_Parity_Oeven__odd__class_Oeven(A,tc_nat).
% 0.19/0.59    Following clause subsumed by 811 during input processing: 0 [] {-} -c_Parity_Oeven__odd__class_Oeven(A,tc_nat)|c_Parity_Oeven__odd__class_Oeven(B,tc_nat)| -c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),A),tc_nat).
% 0.19/0.59    Following clause subsumed by 812 during input processing: 0 [] {-} -c_Parity_Oeven__odd__class_Oeven(A,tc_nat)|c_Parity_Oeven__odd__class_Oeven(B,tc_nat)| -c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B),tc_nat).
% 0.19/0.59    Following clause subsumed by 810 during input processing: 0 [] {-} c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B),tc_nat)| -c_Parity_Oeven__odd__class_Oeven(B,tc_nat)| -c_Parity_Oeven__odd__class_Oeven(A,tc_nat).
% 0.19/0.59    Following clause subsumed by 819 during input processing: 0 [] {-} hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)!=A|B=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.19/0.59    Following clause subsumed by 820 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(A,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),C),tc_nat)| -c_HOL_Oord__class_Oless(A,B,tc_nat).
% 0.19/0.59    Following clause subsumed by 821 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(A,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),C),tc_nat)| -c_HOL_Oord__class_Oless(A,C,tc_nat).
% 0.19/0.59    Following clause subsumed by 829 during input processing: 0 [flip.2] {-} -c_lessequals(A,B,tc_nat)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),B),A)),A)=B.
% 0.19/0.59    Following clause subsumed by 824 during input processing: 0 [flip.1] {-} hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)),C)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),B),C))| -c_lessequals(C,B,tc_nat).
% 0.19/0.59    Following clause subsumed by 715 during input processing: 0 [flip.4] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_HOL_Ozero__class_Ozero(A)),c_Int_Onumber__class_Onumber__of(B,A))),c_Int_Onumber__class_Onumber__of(B,A))=c_HOL_Ozero__class_Ozero(A).
% 0.19/0.59    Following clause subsumed by 713 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),c_Int_Onumber__class_Onumber__of(C,A))),c_Int_Onumber__class_Onumber__of(C,A))=B|c_Int_Onumber__class_Onumber__of(C,A)=c_HOL_Ozero__class_Ozero(A).
% 0.40/0.59    Following clause subsumed by 713 during input processing: 0 [flip.4] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),c_Int_Onumber__class_Onumber__of(C,A))),c_Int_Onumber__class_Onumber__of(C,A))=B|c_Int_Onumber__class_Onumber__of(C,A)=c_HOL_Ozero__class_Ozero(A).
% 0.40/0.59    Following clause subsumed by 867 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_Int_Onumber__class_Onumber__of(B,A)!=c_HOL_Ozero__class_Ozero(A)|hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(B,A)),C)),C)=c_Int_Onumber__class_Onumber__of(B,A).
% 0.40/0.59    Following clause subsumed by 713 during input processing: 0 [flip.4] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(B,A)),C)),C)=c_Int_Onumber__class_Onumber__of(B,A)|C=c_HOL_Ozero__class_Ozero(A).
% 0.40/0.59    Following clause subsumed by 717 during input processing: 0 [flip.4] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),c_Int_Onumber__class_Onumber__of(C,A))),c_Int_Onumber__class_Onumber__of(C,A))=B|c_Int_Onumber__class_Onumber__of(C,A)=c_HOL_Ozero__class_Ozero(A).
% 0.40/0.59    Following clause subsumed by 717 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),c_Int_Onumber__class_Onumber__of(C,A))),c_Int_Onumber__class_Onumber__of(C,A))=B|c_Int_Onumber__class_Onumber__of(C,A)=c_HOL_Ozero__class_Ozero(A).
% 0.40/0.59    Following clause subsumed by 713 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(B,A)),C)),C)=c_Int_Onumber__class_Onumber__of(B,A)|C=c_HOL_Ozero__class_Ozero(A).
% 0.40/0.59    Following clause subsumed by 715 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_HOL_Ozero__class_Ozero(A)),c_Int_Onumber__class_Onumber__of(B,A))),c_Int_Onumber__class_Onumber__of(B,A))=c_HOL_Ozero__class_Ozero(A).
% 0.40/0.59    Following clause subsumed by 896 during input processing: 0 [] {-} -c_lessequals(A,B,tc_nat)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),C)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),B),A)),C)),D))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),B),C)),D).
% 0.40/0.59    Following clause subsumed by 823 during input processing: 0 [] {-} c_lessequals(A,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),C),tc_nat)| -c_lessequals(A,B,tc_nat).
% 0.40/0.59    Following clause subsumed by 909 during input processing: 0 [] {-} c_lessequals(A,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),C),tc_nat)| -c_lessequals(A,C,tc_nat).
% 0.40/0.59    Following clause subsumed by 913 during input processing: 0 [] {-} hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),B)!=hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),C)|A=c_HOL_Ozero__class_Ozero(tc_nat)|B=C.
% 0.40/0.59    Following clause subsumed by 921 during input processing: 0 [] {-} c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),B),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),C),tc_nat)| -c_lessequals(B,C,tc_nat).
% 0.40/0.59    Following clause subsumed by 920 during input processing: 0 [] {-} c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),B),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),C),B),tc_nat)| -c_lessequals(A,C,tc_nat).
% 0.40/0.59    Following clause subsumed by 432 during input processing: 0 [flip.1] {-} hAPP(c_Suc,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),c_Int_Onumber__class_Onumber__of(A,tc_nat)),c_HOL_Oone__class_Oone(tc_nat)))=c_Int_Onumber__class_Onumber__of(A,tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Int_Onumber__class_Onumber__of(A,tc_nat),tc_nat).
% 0.40/0.59    Following clause subsumed by 948 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)| -class_RealVector_Ometric__space(B)|c_Lim_OLIM(c_COMBC(c_COMBB(c_HOL_Otimes__class_Otimes(A),C,A,tc_fun(A,A),B),D,B,A,A),E,c_HOL_Ozero__class_Ozero(A),B,A)| -c_Lim_OLIM(C,E,c_HOL_Ozero__class_Ozero(A),B,A).
% 0.40/0.59    Following clause subsumed by 672 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_lessequals(B,hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),C),c_Int_Onumber__class_Onumber__of(D,A)),A)| -c_lessequals(B,c_HOL_Ozero__class_Ozero(A),A)| -c_lessequals(C,hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),c_Int_Onumber__class_Onumber__of(D,A)),A)| -c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),c_Int_Onumber__class_Onumber__of(D,A)),C,A).
% 0.40/0.59    Following clause subsumed by 673 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_lessequals(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),c_Int_Onumber__class_Onumber__of(C,A)),D,A)| -c_lessequals(c_HOL_Ozero__class_Ozero(A),D,A)| -c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),c_Int_Onumber__class_Onumber__of(C,A)),B,A)| -c_lessequals(B,hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),c_Int_Onumber__class_Onumber__of(C,A)),A).
% 0.40/0.59    Following clause subsumed by 672 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_lessequals(c_Int_Onumber__class_Onumber__of(B,A),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),C),D),A)| -c_lessequals(c_Int_Onumber__class_Onumber__of(B,A),c_HOL_Ozero__class_Ozero(A),A)| -c_lessequals(C,hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(B,A)),D),A)| -c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(B,A)),D),C,A).
% 0.40/0.59    Following clause subsumed by 665 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(B,A),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),C),D),A)| -c_HOL_Oord__class_Oless(D,c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(C,hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(B,A)),D),A)| -c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(B,A)),D),C,A).
% 0.40/0.59    Following clause subsumed by 658 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(B,A),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),C),D),A)| -c_HOL_Oord__class_Oless(D,c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(C,hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(B,A)),D),A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),D,A).
% 0.40/0.59    Following clause subsumed by 659 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_HOL_Oord__class_Oless(B,hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(C,A)),D),A)| -c_HOL_Oord__class_Oless(D,c_HOL_Ozero__class_Ozero(A),A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),D,A)| -c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(C,A),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),D),A).
% 0.40/0.59    Following clause subsumed by 664 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(B,A),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),C),D),A)| -c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(B,A),c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(C,hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(B,A)),D),A)| -c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(B,A)),D),C,A).
% 0.40/0.59    Following clause subsumed by 656 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(B,A),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),C),D),A)| -c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(B,A),c_HOL_Ozero__class_Ozero(A),A)|c_HOL_Oord__class_Oless(D,c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(B,A)),D),C,A).
% 0.40/0.59    Following clause subsumed by 657 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(B,A),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),C),D),A)| -c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(B,A),c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(C,hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(B,A)),D),A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),D,A).
% 0.40/0.59    Following clause subsumed by 666 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),C),c_Int_Onumber__class_Onumber__of(D,A),A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(D,A),A)| -c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(D,A)),C),B,A)| -c_HOL_Oord__class_Oless(B,hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(D,A)),C),A).
% 0.40/0.59    Following clause subsumed by 657 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_HOL_Oord__class_Oless(B,hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),C),c_Int_Onumber__class_Onumber__of(D,A)),A)| -c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(C,hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),c_Int_Onumber__class_Onumber__of(D,A)),A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(D,A),A).
% 0.40/0.59    Following clause subsumed by 661 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),c_Int_Onumber__class_Onumber__of(C,A)),D,A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),D,A)| -c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),c_Int_Onumber__class_Onumber__of(C,A)),B,A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(C,A),A).
% 0.40/0.59    Following clause subsumed by 660 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),C),c_Int_Onumber__class_Onumber__of(D,A),A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(D,A),A)|c_HOL_Oord__class_Oless(C,c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(B,hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(D,A)),C),A).
% 0.40/0.59    Following clause subsumed by 661 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),C),c_Int_Onumber__class_Onumber__of(D,A),A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(D,A),A)| -c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(D,A)),C),B,A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),C,A).
% 0.40/0.59    Following clause subsumed by 658 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_HOL_Oord__class_Oless(B,hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),C),c_Int_Onumber__class_Onumber__of(D,A)),A)| -c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(D,A),c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(C,hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),c_Int_Onumber__class_Onumber__of(D,A)),A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(D,A),A).
% 0.40/0.59    Following clause subsumed by 659 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_HOL_Oord__class_Oless(B,hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),C),c_Int_Onumber__class_Onumber__of(D,A)),A)| -c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(D,A),c_HOL_Ozero__class_Ozero(A),A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(D,A),A)| -c_HOL_Oord__class_Oless(C,hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),c_Int_Onumber__class_Onumber__of(D,A)),A).
% 0.40/0.59    Following clause subsumed by 662 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),c_Int_Onumber__class_Onumber__of(C,A)),D,A)| -c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(C,A),c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),c_Int_Onumber__class_Onumber__of(C,A)),B,A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(C,A),A).
% 0.40/0.59    Following clause subsumed by 663 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),c_Int_Onumber__class_Onumber__of(C,A)),D,A)| -c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(C,A),c_HOL_Ozero__class_Ozero(A),A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(C,A),A)| -c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),D),c_Int_Onumber__class_Onumber__of(C,A)),B,A).
% 0.40/0.59    Following clause subsumed by 669 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),C),c_Int_Onumber__class_Onumber__of(D,A),A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),C,A)| -c_HOL_Oord__class_Oless(B,hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(D,A)),C),A).
% 0.40/0.59    Following clause subsumed by 671 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_HOL_Oord__class_Oless(B,hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(C,A)),D),A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),D,A)| -c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),D),c_Int_Onumber__class_Onumber__of(C,A),A).
% 0.40/0.59    Following clause subsumed by 668 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(B,A),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),C),D),A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),D,A)| -c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(B,A)),D),C,A).
% 0.40/0.59    Following clause subsumed by 670 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(B,A)),C),D,A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),C,A)| -c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(B,A),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),D),C),A).
% 0.40/0.59    Following clause subsumed by 673 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_lessequals(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),C),c_Int_Onumber__class_Onumber__of(D,A),A)| -c_lessequals(c_HOL_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(D,A),A)| -c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(D,A)),C),B,A)| -c_lessequals(B,hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(D,A)),C),A).
% 0.40/0.59    Following clause subsumed by 662 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),C),c_Int_Onumber__class_Onumber__of(D,A),A)| -c_HOL_Oord__class_Oless(C,c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(D,A)),C),B,A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),C,A).
% 0.40/0.59    Following clause subsumed by 663 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(B,A)),C),D,A)| -c_HOL_Oord__class_Oless(C,c_HOL_Ozero__class_Ozero(A),A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),C,A)| -c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),D),C),c_Int_Onumber__class_Onumber__of(B,A),A).
% 0.40/0.59    Following clause subsumed by 664 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_HOL_Oord__class_Oless(B,hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),C),c_Int_Onumber__class_Onumber__of(D,A)),A)| -c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(C,hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),c_Int_Onumber__class_Onumber__of(D,A)),A)| -c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),c_Int_Onumber__class_Onumber__of(D,A)),C,A).
% 0.40/0.59    Following clause subsumed by 666 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),c_Int_Onumber__class_Onumber__of(C,A)),D,A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),D,A)| -c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),c_Int_Onumber__class_Onumber__of(C,A)),B,A)| -c_HOL_Oord__class_Oless(B,hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),c_Int_Onumber__class_Onumber__of(C,A)),A).
% 0.40/0.59    Following clause subsumed by 667 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),C),c_Int_Onumber__class_Onumber__of(D,A),A)| -c_HOL_Oord__class_Oless(C,c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(D,A)),C),B,A)| -c_HOL_Oord__class_Oless(B,hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(D,A)),C),A).
% 0.40/0.59    Following clause subsumed by 656 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_HOL_Oord__class_Oless(B,hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),C),c_Int_Onumber__class_Onumber__of(D,A)),A)| -c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A)|c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(D,A),c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),c_Int_Onumber__class_Onumber__of(D,A)),C,A).
% 0.40/0.59    Following clause subsumed by 660 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),c_Int_Onumber__class_Onumber__of(C,A)),D,A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),D,A)|c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(C,A),c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(B,hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),c_Int_Onumber__class_Onumber__of(C,A)),A).
% 0.40/0.59    Following clause subsumed by 665 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_HOL_Oord__class_Oless(B,hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),C),c_Int_Onumber__class_Onumber__of(D,A)),A)| -c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(D,A),c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(C,hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),c_Int_Onumber__class_Onumber__of(D,A)),A)| -c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),c_Int_Onumber__class_Onumber__of(D,A)),C,A).
% 0.40/0.59    Following clause subsumed by 667 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),c_Int_Onumber__class_Onumber__of(C,A)),D,A)| -c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(C,A),c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),c_Int_Onumber__class_Onumber__of(C,A)),B,A)| -c_HOL_Oord__class_Oless(B,hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),c_Int_Onumber__class_Onumber__of(C,A)),A).
% 0.40/0.59    Following clause subsumed by 668 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_HOL_Oord__class_Oless(B,hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),C),c_Int_Onumber__class_Onumber__of(D,A)),A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(D,A),A)| -c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),c_Int_Onumber__class_Onumber__of(D,A)),C,A).
% 0.40/0.59    Following clause subsumed by 670 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),c_Int_Onumber__class_Onumber__of(C,A)),D,A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(C,A),A)| -c_HOL_Oord__class_Oless(B,hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),D),c_Int_Onumber__class_Onumber__of(C,A)),A).
% 0.40/0.59    Following clause subsumed by 669 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),c_Int_Onumber__class_Onumber__of(C,A)),D,A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(C,A),A)| -c_HOL_Oord__class_Oless(B,hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),c_Int_Onumber__class_Onumber__of(C,A)),A).
% 0.40/0.60    Following clause subsumed by 671 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_HOL_Oord__class_Oless(B,hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),C),c_Int_Onumber__class_Onumber__of(D,A)),A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(D,A),A)| -c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),c_Int_Onumber__class_Onumber__of(D,A)),C,A).
% 0.40/0.60    Following clause subsumed by 981 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C)),D)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),C),D)).
% 0.40/0.60    Following clause subsumed by 997 during input processing: 0 [] {-} hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),C)|B=C.
% 0.40/0.60    Following clause subsumed by 1006 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)| -class_Int_Onumber__ring(A)|hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),A))=B.
% 0.40/0.60    Following clause subsumed by 1008 during input processing: 0 [] {-} -hBOOL(hAPP(A,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),C)),B)))|hBOOL(hAPP(A,C)).
% 0.40/0.60    Following clause subsumed by 1018 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),C),B).
% 0.40/0.60    Following clause subsumed by 1010 during input processing: 0 [flip.1] {-} c_Int_OBit1(A)!=c_Int_OPls.
% 0.40/0.60    Following clause subsumed by 1024 during input processing: 0 [] {-} hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),B)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),C),D))!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),D)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),C),B))|B=D|A=C.
% 0.40/0.60    Following clause subsumed by 1025 during input processing: 0 [] {-} -class_Ring__and__Field_Oidom(A)| -class_Int_Onumber__ring(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),E))!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),E)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),C))|C=E|B=D.
% 0.40/0.60    Following clause subsumed by 980 during input processing: 0 [flip.2] {-} -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),C),D)).
% 0.40/0.60    Following clause subsumed by 1039 during input processing: 0 [flip.2] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)),D)=hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),C),D)).
% 0.40/0.60    Following clause subsumed by 1039 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)),D)=hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),C),D)).
% 0.40/0.60    Following clause subsumed by 1040 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),E))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)),E)).
% 0.40/0.60    Following clause subsumed by 1039 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),E))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),C),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),E))).
% 0.42/0.62    Following clause subsumed by 1014 during input processing: 0 [] {-} -class_Ring__and__Field_Oring(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),hAPP(hAPP(c_HOL_Ominus__class_Ominus(A),D),B)),C)),E))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),C)),E).
% 0.42/0.62    Following clause subsumed by 1068 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_HOL_Oone__class_Oone(A)),B)=B.
% 0.42/0.62    Following clause subsumed by 1072 during input processing: 0 [] {-} -class_Ring__and__Field_Oidom(A)| -class_Int_Onumber__ring(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)).
% 0.42/0.62    Following clause subsumed by 1076 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)=hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),C),B).
% 0.42/0.62    Following clause subsumed by 1080 during input processing: 0 [flip.2] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C)),D)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),C),D)).
% 0.42/0.62    Following clause subsumed by 1080 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C)),D)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),C),D)).
% 0.42/0.62    Following clause subsumed by 1036 during input processing: 0 [] {-} hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),B)!=c_HOL_Oone__class_Oone(tc_nat)|A=c_HOL_Oone__class_Oone(tc_nat).
% 0.42/0.62    Following clause subsumed by 1034 during input processing: 0 [] {-} hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),B)!=c_HOL_Oone__class_Oone(tc_nat)|B=c_HOL_Oone__class_Oone(tc_nat).
% 0.42/0.62    Following clause subsumed by 1098 during input processing: 0 [flip.2] {-} -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_HOL_Ominus__class_Ominus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),hAPP(hAPP(c_HOL_Ominus__class_Ominus(A),C),D)).
% 0.42/0.62    Following clause subsumed by 1099 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),hAPP(hAPP(c_HOL_Ominus__class_Ominus(A),B),C)),D)=hAPP(hAPP(c_HOL_Ominus__class_Ominus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),C),D)).
% 0.42/0.62  179 back subsumes 96.
% 0.42/0.62    Following clause subsumed by 438 during input processing: 0 [copy,180,flip.1] {-} hAPP(c_Suc,A)!=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.42/0.62  243 back subsumes 240.
% 0.42/0.62  244 back subsumes 241.
% 0.42/0.62  294 back subsumes 293.
% 0.42/0.62  318 back subsumes 277.
% 0.42/0.62  343 back subsumes 156.
% 0.42/0.62  375 back subsumes 161.
% 0.42/0.62    Following clause subsumed by 180 during input processing: 0 [copy,438,flip.1] {-} c_HOL_Ozero__class_Ozero(tc_nat)!=hAPP(c_Suc,A).
% 0.42/0.62  444 back subsumes 336.
% 0.42/0.62  455 back subsumes 37.
% 0.42/0.62  456 back subsumes 36.
% 0.42/0.62  457 back subsumes 35.
% 0.42/0.62  457 back subsumes 1.
% 0.42/0.62  458 back subsumes 34.
% 0.42/0.62  458 back subsumes 30.
% 0.42/0.62  473 back subsumes 471.
% 0.42/0.62  474 back subsumes 472.
% 0.42/0.62  584 back subsumes 162.
% 0.42/0.62  713 back subsumes 712.
% 0.42/0.62  737 back subsumes 736.
% 0.42/0.62  780 back subsumes 751.
% 0.42/0.62  820 back subsumes 101.
% 0.42/0.62  821 back subsumes 100.
% 0.42/0.62  921 back subsumes 345.
% 0.42/0.62  921 back subsumes 314.
% 0.42/0.62  922 back subsumes 365.
% 0.42/0.62  922 back subsumes 331.
% 0.42/0.62  933 back subsumes 932.
% 0.42/0.62    Following clause subsumed by 1105 during input processing: 0 [copy,989,flip.1] {-} c_Int_OBit0(A)!=c_Int_OBit1(B).
% 0.42/0.62  1044 back subsumes 1015.
% 0.42/0.62    Following clause subsumed by 989 during input processing: 0 [copy,1105,flip.1] {-} c_Int_OBit1(A)!=c_Int_OBit0(B).
% 0.42/0.62  1156 back subsumes 1155.
% 0.42/0.62  
% 0.42/0.62  ------------> process sos:
% 0.42/0.62    Following clause subsumed by 1304 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(A,hAPP(c_Suc,A),tc_nat).
% 0.42/0.62    Following clause subsumed by 1305 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(A,B),C))|c_HOL_Oord__class_Oless(B,C,tc_nat)|C=B|c_HOL_Oord__class_Oless(C,B,tc_nat).
% 0.42/0.63    Following clause subsumed by 1305 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(A,B,tc_nat)|c_HOL_Oord__class_Oless(B,A,tc_nat)|B=A.
% 0.42/0.63    Following clause subsumed by 1315 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(A,hAPP(c_Suc,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)),tc_nat).
% 0.42/0.63    Following clause subsumed by 1304 during input processing: 0 [unit_del,421] {-} c_HOL_Oord__class_Oless(A,hAPP(c_Suc,A),tc_nat).
% 0.42/0.63    Following clause subsumed by 1337 during input processing: 0 [demod,1334] {-} c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(c_Int_OMin,tc_nat),hAPP(c_Suc,A),tc_nat).
% 0.42/0.63    Following clause subsumed by 1304 during input processing: 0 [demod,1334,1334] {-} c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(c_Int_OMin,tc_nat),hAPP(c_Suc,c_Int_Onumber__class_Onumber__of(c_Int_OMin,tc_nat)),tc_nat).
% 0.42/0.63    Following clause subsumed by 1339 during input processing: 0 [demod,1334,1334] {-} c_lessequals(c_Int_Onumber__class_Onumber__of(c_Int_OMin,tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OMin,tc_nat),tc_nat).
% 0.42/0.63    Following clause subsumed by 1360 during input processing: 0 [] {-} c_lessequals(A,A,tc_nat).
% 0.42/0.63    Following clause subsumed by 1337 during input processing: 0 [demod,1334,1381] {-} c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(c_Int_OMin,tc_nat),hAPP(c_Suc,hAPP(c_Suc,c_Int_Onumber__class_Onumber__of(c_Int_OMin,tc_nat))),tc_nat).
% 0.42/0.63    Following clause subsumed by 1420 during input processing: 0 [] {-} c_lessequals(A,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B),tc_nat).
% 0.42/0.63    Following clause subsumed by 1420 during input processing: 0 [] {-} c_lessequals(A,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B),tc_nat).
% 0.42/0.63    Following clause subsumed by 1428 during input processing: 0 [] {-} c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B),tc_nat)|c_Parity_Oeven__odd__class_Oeven(B,tc_nat)|c_Parity_Oeven__odd__class_Oeven(A,tc_nat).
% 0.42/0.63    Following clause subsumed by 1428 during input processing: 0 [] {-} c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B),tc_nat)|c_Parity_Oeven__odd__class_Oeven(B,tc_nat)|c_Parity_Oeven__odd__class_Oeven(A,tc_nat).
% 0.42/0.63    Following clause subsumed by 1460 during input processing: 0 [demod,1334,1467,1334,1467] {-} c_Int_Onumber__class_Onumber__of(c_Int_OMin,tc_nat)=c_Int_Onumber__class_Onumber__of(c_Int_OMin,tc_nat).
% 0.42/0.63    Following clause subsumed by 1460 during input processing: 0 [demod,1334,1470,1334,1470] {-} c_Int_Onumber__class_Onumber__of(c_Int_OMin,tc_nat)=c_Int_Onumber__class_Onumber__of(c_Int_OMin,tc_nat).
% 0.42/0.63    Following clause subsumed by 1460 during input processing: 0 [demod,1367,1425,1425,1425,1463] {-} hAPP(c_Suc,hAPP(c_Suc,hAPP(c_Suc,A)))=hAPP(c_Suc,hAPP(c_Suc,hAPP(c_Suc,A))).
% 0.42/0.63    Following clause subsumed by 1460 during input processing: 0 [demod,1419,1414] {-} c_Int_OPls=c_Int_OPls.
% 0.42/0.63    Following clause subsumed by 1460 during input processing: 0 [demod,1370,1349] {-} hAPP(c_Suc,c_Int_Onumber__class_Onumber__of(c_Int_OMin,tc_nat))=hAPP(c_Suc,c_Int_Onumber__class_Onumber__of(c_Int_OMin,tc_nat)).
% 0.42/0.63    Following clause subsumed by 1460 during input processing: 0 [demod,1419,1414] {-} c_Int_OPls=c_Int_OPls.
% 0.42/0.63    Following clause subsumed by 1460 during input processing: 0 [demod,1349,1370] {-} hAPP(c_Suc,c_Int_Onumber__class_Onumber__of(c_Int_OMin,tc_nat))=hAPP(c_Suc,c_Int_Onumber__class_Onumber__of(c_Int_OMin,tc_nat)).
% 0.42/0.63    Following clause subsumed by 1460 during input processing: 0 [demod,1349,1349,1349,1403,1470,1458] {-} hAPP(c_Suc,c_Int_Onumber__class_Onumber__of(c_Int_OMin,tc_nat))=hAPP(c_Suc,c_Int_Onumber__class_Onumber__of(c_Int_OMin,tc_nat)).
% 0.42/0.63    Following clause subsumed by 1460 during input processing: 0 [demod,1349,1403,1470,1458] {-} A=A.
% 0.42/0.63    Following clause subsumed by 1539 during input processing: 0 [demod,1514,1514] {-} hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),C))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),C),B)).
% 0.45/0.65    Following clause subsumed by 1460 during input processing: 0 [demod,1419,1521,1403,1403,1470,1458] {-} hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),A)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),A).
% 0.45/0.65    Following clause subsumed by 1460 during input processing: 0 [demod,1349,1349,1403,1470,1458,1349] {-} hAPP(c_Suc,c_Int_Onumber__class_Onumber__of(c_Int_OMin,tc_nat))=hAPP(c_Suc,c_Int_Onumber__class_Onumber__of(c_Int_OMin,tc_nat)).
% 0.45/0.65    Following clause subsumed by 1546 during input processing: 0 [] {-} hAPP(c_COMBC(A,B,C,D,E),F)=hAPP(hAPP(A,F),B).
% 0.45/0.65    Following clause subsumed by 1460 during input processing: 0 [demod,1545] {-} hAPP(A,hAPP(B,F))=hAPP(A,hAPP(B,F)).
% 0.45/0.65    Following clause subsumed by 1460 during input processing: 0 [] {-} A=A.
% 0.45/0.65    Following clause subsumed by 1324 during input processing: 0 [copy,1324,flip.1] {-} hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Int_Oint),A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Int_Oint),B),C))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Int_Oint),B),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Int_Oint),A),C)).
% 0.45/0.65    Following clause subsumed by 1346 during input processing: 0 [copy,1346,flip.1] {-} hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Int_Oint),A),B)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Int_Oint),B),A).
% 0.45/0.65  1360 back subsumes 1343.
% 0.45/0.65  1360 back subsumes 1292.
% 0.45/0.65    Following clause subsumed by 1460 during input processing: 0 [copy,1385,flip.1] {-} hAPP(c_Suc,hAPP(c_Suc,c_Int_Onumber__class_Onumber__of(c_Int_OMin,tc_nat)))=hAPP(c_Suc,hAPP(c_Suc,c_Int_Onumber__class_Onumber__of(c_Int_OMin,tc_nat))).
% 0.45/0.65    Following clause subsumed by 1460 during input processing: 0 [copy,1390,flip.1] {-} c_Int_Onumber__class_Onumber__of(c_Int_OMin,tc_nat)=c_Int_Onumber__class_Onumber__of(c_Int_OMin,tc_nat).
% 0.45/0.65    Following clause subsumed by 1460 during input processing: 0 [copy,1398,flip.1] {-} c_Divides_Odiv__class_Odiv(hAPP(c_Suc,hAPP(c_Suc,hAPP(c_Suc,A))),c_Int_Onumber__class_Onumber__of(B,tc_nat),tc_nat)=c_Divides_Odiv__class_Odiv(hAPP(c_Suc,hAPP(c_Suc,hAPP(c_Suc,A))),c_Int_Onumber__class_Onumber__of(B,tc_nat),tc_nat).
% 0.45/0.65    Following clause subsumed by 1460 during input processing: 0 [copy,1410,flip.1] {-} c_Int_OMin=c_Int_OMin.
% 0.45/0.65    Following clause subsumed by 1460 during input processing: 0 [copy,1427,flip.1] {-} hAPP(c_Suc,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B))=hAPP(c_Suc,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)).
% 0.45/0.65    Following clause subsumed by 1460 during input processing: 0 [copy,1460,flip.1] {-} A=A.
% 0.45/0.65  1460 back subsumes 1427.
% 0.45/0.65  1460 back subsumes 1410.
% 0.45/0.65  1460 back subsumes 1398.
% 0.45/0.65  1460 back subsumes 1390.
% 0.45/0.65  1460 back subsumes 1385.
% 0.45/0.65  1460 back subsumes 1293.
% 0.45/0.65  1460 back subsumes 1275.
% 0.45/0.65  1460 back subsumes 1177.
% 0.45/0.65  1460 back subsumes 1122.
% 0.45/0.65  1460 back subsumes 1121.
% 0.45/0.65  1460 back subsumes 1120.
% 0.45/0.65  1460 back subsumes 1119.
% 0.45/0.65  1460 back subsumes 1118.
% 0.45/0.65    Following clause subsumed by 1529 during input processing: 0 [copy,1529,flip.1] {-} hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),A).
% 0.45/0.65    Following clause subsumed by 1539 during input processing: 0 [copy,1539,flip.1] {-} hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),C))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),C),B)).
% 0.45/0.65    Following clause subsumed by 1540 during input processing: 0 [copy,1540,flip.1] {-} hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),B)=hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),B),A).
% 0.45/0.65    Following clause subsumed by 1543 during input processing: 0 [copy,1543,flip.1] {-} hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),C))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),C)).
% 0.45/0.65    Following clause subsumed by 1555 during input processing: 0 [copy,1555,flip.1] {-} hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),A),B)),C)=hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),A),C)),B).
% 0.45/0.65    Following clause subsumed by 1861 during input processing: 0 [copy,1816,flip.1] {-} hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Int_Oint),c_Int_OBit1(A)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Int_Oint),B),B))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Int_Oint),A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Int_Oint),A),c_Int_OBit1(B))).
% 0.45/0.65    Following clause subsumed by 1383 during input processing: 0 [copy,1857,flip.1] {-} c_Divides_Odiv__class_Odiv(hAPP(c_Suc,hAPP(c_Suc,A)),hAPP(c_Suc,hAPP(c_Suc,c_Int_Onumber__class_Onumber__of(c_Int_OMin,tc_nat))),tc_nat)=hAPP(c_Suc,c_Divides_Odiv__class_Odiv(A,hAPP(c_Suc,hAPP(c_Suc,c_Int_Onumber__class_Onumber__of(c_Int_OMin,tc_nat))),tc_nat)).
% 0.45/0.65    Following clause subsumed by 1401 during input processing: 0 [copy,1858,flip.1] {-} hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(c_Suc,A)),B)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),B)).
% 0.45/0.65    Following clause subsumed by 1816 during input processing: 0 [copy,1861,flip.1] {-} hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Int_Oint),A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Int_Oint),A),c_Int_OBit1(B)))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Int_Oint),c_Int_OBit1(A)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Int_Oint),B),B)).
% 0.45/0.65    Following clause subsumed by 1871 during input processing: 0 [copy,1864,flip.1] {-} c_Int_OBit1(A)!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Int_Oint),B),B).
% 0.45/0.65    Following clause subsumed by 1864 during input processing: 0 [copy,1871,flip.1] {-} hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Int_Oint),A),A)!=c_Int_OBit1(B).
% 0.45/0.65    Following clause subsumed by 1464 during input processing: 0 [copy,1890,flip.1] {-} c_Divides_Odiv__class_Odiv(A,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),B),C),tc_nat)=c_Divides_Odiv__class_Odiv(c_Divides_Odiv__class_Odiv(A,B,tc_nat),C,tc_nat).
% 0.45/0.65    Following clause subsumed by 1515 during input processing: 0 [copy,1891,flip.1] {-} hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)),C)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),C)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),B),C)).
% 0.45/0.65    Following clause subsumed by 1546 during input processing: 0 [copy,1897,flip.1] {-} hAPP(c_COMBC(A,B,C,D,E),F)=hAPP(hAPP(A,F),B).
% 0.45/0.65    Following clause subsumed by 1547 during input processing: 0 [copy,1898,flip.1] {-} hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),A),B)),C)=hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),C)).
% 0.45/0.65    Following clause subsumed by 1551 during input processing: 0 [copy,1899,flip.1] {-} hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),A),B)),C)=hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),C)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),B),C)).
% 0.45/0.65    Following clause subsumed by 1557 during input processing: 0 [copy,1900,flip.1] {-} hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(c_Suc,hAPP(c_Suc,c_Int_Onumber__class_Onumber__of(c_Int_OMin,tc_nat)))),A)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),A).
% 0.45/0.65    Following clause subsumed by 1860 during input processing: 0 [copy,1901,flip.1] {-} hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Int_Oint),A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Int_Oint),B),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Int_Oint),A),B)))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Int_Oint),A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Int_Oint),A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Int_Oint),B),B))).
% 0.45/0.65  
% 0.45/0.65  ======= end of input processing =======
% 0.74/0.99  
% 0.74/0.99  
% 0.74/0.99  
% 0.74/0.99   Aborting on detection of an error:
% 0.74/0.99  
% 0.74/0.99   Too many clauses (whew!).
% 0.74/0.99  
%------------------------------------------------------------------------------