TSTP Solution File: SWV649-1 by SOS---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : SWV649-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n024.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 21:39:47 EDT 2022
% Result : Unknown 0.81s 1.07s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWV649-1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.13 % Command : sos-script %s
% 0.13/0.34 % Computer : n024.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 : Tue Jun 14 14:30:03 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.42/0.61 ----- Otter 3.2, August 2001 -----
% 0.42/0.61 The process was started by sandbox2 on n024.cluster.edu,
% 0.42/0.61 Tue Jun 14 14:30:03 2022
% 0.42/0.61 The command was "./sos". The process ID is 30654.
% 0.42/0.61
% 0.42/0.61 set(prolog_style_variables).
% 0.42/0.61 set(auto).
% 0.42/0.61 dependent: set(auto1).
% 0.42/0.61 dependent: set(process_input).
% 0.42/0.61 dependent: clear(print_kept).
% 0.42/0.61 dependent: clear(print_new_demod).
% 0.42/0.61 dependent: clear(print_back_demod).
% 0.42/0.61 dependent: clear(print_back_sub).
% 0.42/0.61 dependent: set(control_memory).
% 0.42/0.61 dependent: assign(max_mem, 12000).
% 0.42/0.61 dependent: assign(pick_given_ratio, 4).
% 0.42/0.61 dependent: assign(stats_level, 1).
% 0.42/0.61 dependent: assign(pick_semantic_ratio, 3).
% 0.42/0.61 dependent: assign(sos_limit, 5000).
% 0.42/0.61 dependent: assign(max_weight, 60).
% 0.42/0.61 clear(print_given).
% 0.42/0.61
% 0.42/0.61 list(usable).
% 0.42/0.61
% 0.42/0.61 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=7.
% 0.42/0.61
% 0.42/0.61 This ia a non-Horn set with equality. The strategy will be
% 0.42/0.61 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.42/0.61 unit deletion, with positive clauses in sos and nonpositive
% 0.42/0.61 clauses in usable.
% 0.42/0.61
% 0.42/0.61 dependent: set(knuth_bendix).
% 0.42/0.61 dependent: set(para_from).
% 0.42/0.61 dependent: set(para_into).
% 0.42/0.61 dependent: clear(para_from_right).
% 0.42/0.61 dependent: clear(para_into_right).
% 0.42/0.61 dependent: set(para_from_vars).
% 0.42/0.61 dependent: set(eq_units_both_ways).
% 0.42/0.61 dependent: set(dynamic_demod_all).
% 0.42/0.61 dependent: set(dynamic_demod).
% 0.42/0.61 dependent: set(order_eq).
% 0.42/0.61 dependent: set(back_demod).
% 0.42/0.61 dependent: set(lrpo).
% 0.42/0.61 dependent: set(hyper_res).
% 0.42/0.61 dependent: set(unit_deletion).
% 0.42/0.61 dependent: set(factor).
% 0.42/0.61
% 0.42/0.61 ------------> process usable:
% 0.42/0.61 Following clause subsumed by 19 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C| -c_lessequals(C,B,A)| -c_lessequals(B,C,A).
% 0.42/0.61 Following clause subsumed by 19 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C| -c_lessequals(B,C,A)| -c_lessequals(C,B,A).
% 0.42/0.61 Following clause subsumed by 20 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).
% 0.42/0.61 Following clause subsumed by 20 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).
% 0.42/0.61 Following clause subsumed by 33 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,B,A)|c_lessequals(B,B,A).
% 0.42/0.61 Following clause subsumed by 33 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_lessequals(B,C,A)|c_HOL_Oord__class_Oless(C,B,A).
% 0.42/0.61 Following clause subsumed by 33 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,C,A)|c_lessequals(C,B,A).
% 0.42/0.61 Following clause subsumed by 35 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -c_lessequals(B,C,A)| -c_HOL_Oord__class_Oless(C,B,A).
% 0.42/0.61 Following clause subsumed by 72 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).
% 0.42/0.61 Following clause subsumed by 76 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).
% 0.42/0.61 Following clause subsumed by 20 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|B=C|c_HOL_Oord__class_Oless(C,B,A)|c_HOL_Oord__class_Oless(B,C,A).
% 0.42/0.61 Following clause subsumed by 120 during input processing: 0 [] {-} -class_Lattices_Oupper__semilattice(A)|c_lessequals(B,C,A)| -c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(B,D,A),C,A).
% 0.42/0.61 Following clause subsumed by 121 during input processing: 0 [] {-} -class_Lattices_Oupper__semilattice(A)|c_lessequals(B,C,A)| -c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(D,B,A),C,A).
% 0.42/0.61 Following clause subsumed by 136 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C|c_HOL_Oord__class_Oless(B,C,A)| -c_lessequals(B,C,A).
% 0.42/0.61 Following clause subsumed by 136 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)|B=C| -c_lessequals(B,C,A).
% 0.42/0.61 Following clause subsumed by 136 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_lessequals(B,C,A)|B=C.
% 0.42/0.61 Following clause subsumed by 137 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|B=C|c_HOL_Oord__class_Oless(B,C,A)| -c_lessequals(B,C,A).
% 0.42/0.61 Following clause subsumed by 138 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)|C=B| -c_lessequals(B,C,A).
% 0.42/0.61 Following clause subsumed by 164 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).
% 0.42/0.61 Following clause subsumed by 167 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).
% 0.42/0.61 Following clause subsumed by 152 during input processing: 0 [] {-} hAPP(hAPP(A,B),C)=C| -c_Groebner__Basis_Ogb__semiring(A,D,E,B,F,G).
% 0.42/0.61 Following clause subsumed by 167 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).
% 0.42/0.61 Following clause subsumed by 170 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).
% 0.42/0.61 Following clause subsumed by 156 during input processing: 0 [] {-} hAPP(hAPP(A,B),C)=B| -c_Groebner__Basis_Ogb__semiring(D,A,E,B,F,G).
% 0.42/0.61 Following clause subsumed by 158 during input processing: 0 [] {-} hAPP(hAPP(A,B),C)=C| -c_Groebner__Basis_Ogb__semiring(D,A,E,F,B,G).
% 0.42/0.61 Following clause subsumed by 164 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).
% 0.42/0.61 Following clause subsumed by 154 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).
% 0.42/0.61 Following clause subsumed by 176 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).
% 0.42/0.61 Following clause subsumed by 180 during input processing: 0 [] {-} -class_Lattices_Oupper__semilattice(A)|c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(B,C,A),D,A)| -c_lessequals(C,D,A)| -c_lessequals(B,D,A).
% 0.42/0.61 Following clause subsumed by 180 during input processing: 0 [] {-} -class_Lattices_Oupper__semilattice(A)|c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(B,C,A),D,A)| -c_lessequals(C,D,A)| -c_lessequals(B,D,A).
% 0.42/0.61 Following clause subsumed by 219 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.
% 0.42/0.61 Following clause subsumed by 222 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)).
% 0.42/0.61 Following clause subsumed by 223 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)).
% 0.42/0.61 Following clause subsumed by 215 during input processing: 0 [flip.2] {-} -class_Divides_Osemiring__div(A)|c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_Divides_Odiv__class_Omod(B,D,A)),C),D,A)=c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C),D,A).
% 0.42/0.61 Following clause subsumed by 235 during input processing: 0 [flip.2] {-} -class_Divides_Osemiring__div(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_Divides_Odiv__class_Odiv(B,C,A)),C)),c_Divides_Odiv__class_Omod(B,C,A))=B.
% 0.42/0.61 Following clause subsumed by 253 during input processing: 0 [flip.2] {-} -class_Divides_Osemiring__div(A)|c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),c_Divides_Odiv__class_Omod(C,D,A)),D,A)=c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C),D,A).
% 0.42/0.61 Following clause subsumed by 252 during input processing: 0 [flip.2] {-} -class_Divides_Osemiring__div(A)|c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),c_Divides_Odiv__class_Omod(B,D,A)),C),D,A)=c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C),D,A).
% 0.42/0.61 Following clause subsumed by 271 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).
% 0.42/0.61 Following clause subsumed by 272 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).
% 0.42/0.61 Following clause subsumed by 271 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__idom(A)|c_Parity_Oeven__odd__class_Oeven(B,tc_nat)|c_lessequals(c_HOL_Ozero__class_Ozero(A),C,A)| -c_lessequals(c_HOL_Ozero__class_Ozero(A),hAPP(hAPP(c_Power_Opower__class_Opower(A),C),B),A).
% 0.42/0.61 Following clause subsumed by 281 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).
% 0.42/0.61 Following clause subsumed by 312 during input processing: 0 [] {-} -c_HOL_Oord__class_Oless(A,A,tc_nat).
% 0.42/0.61 Following clause subsumed by 324 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).
% 0.42/0.61 Following clause subsumed by 35 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).
% 0.42/0.61 Following clause subsumed by 33 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).
% 0.42/0.61 Following clause subsumed by 342 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).
% 0.42/0.61 Following clause subsumed by 343 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,D,tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(A),B,A).
% 0.42/0.61 Following clause subsumed by 313 during input processing: 0 [] {-} -c_HOL_Oord__class_Oless(c_Int_OMin,c_Int_OMin,tc_Int_Oint).
% 0.42/0.61 Following clause subsumed by 361 during input processing: 0 [] {-} -class_Orderings_Opreorder(A)| -c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(C,B,A).
% 0.42/0.61 Following clause subsumed by 273 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_lessequals(C,c_HOL_Ozero__class_Ozero(A),A)| -c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(A),C),c_Int_Onumber__class_Onumber__of(B,tc_nat)),c_HOL_Ozero__class_Ozero(A),A).
% 0.42/0.61 Following clause subsumed by 278 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).
% 0.42/0.61 Following clause subsumed by 271 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_Int_Onumber__class_Onumber__of(C,tc_nat),tc_nat)| -c_lessequals(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).
% 0.42/0.61 Following clause subsumed by 272 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_Int_Onumber__class_Onumber__of(C,tc_nat)),A)| -c_lessequals(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).
% 0.42/0.61 Following clause subsumed by 280 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_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(A),C),c_Int_Onumber__class_Onumber__of(B,tc_nat)),c_HOL_Ozero__class_Ozero(A),A).
% 0.42/0.61 Following clause subsumed by 281 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_Int_Onumber__class_Onumber__of(C,tc_nat)),A)| -c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(C,tc_nat),tc_nat).
% 0.42/0.61 Following clause subsumed by 277 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).
% 0.42/0.61 Following clause subsumed by 276 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).
% 0.42/0.61 Following clause subsumed by 275 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).
% 0.42/0.61 Following clause subsumed by 399 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|c_Series_Osums(c_COMBC(c_COMBB(c_HOL_Otimes__class_Otimes(A),B,A,tc_fun(A,A),tc_nat),C,tc_nat,A,A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),C),A)| -c_Series_Osums(B,D,A).
% 0.42/0.61 Following clause subsumed by 312 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).
% 0.42/0.61 Following clause subsumed by 404 during input processing: 0 [] {-} hBOOL(hAPP(A,c_Divides_Odiv__class_Odiv(B,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)))| -hBOOL(hAPP(A,c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.42/0.61 Following clause subsumed by 405 during input processing: 0 [] {-} -c_HOL_Oord__class_Oless(A,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat).
% 0.42/0.61 Following clause subsumed by 416 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).
% 0.42/0.61 Following clause subsumed by 324 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).
% 0.42/0.61 Following clause subsumed by 427 during input processing: 0 [] {-} A=B| -c_HOL_Oord__class_Oless(A,hAPP(c_Suc,B),tc_nat)|c_HOL_Oord__class_Oless(A,B,tc_nat).
% 0.42/0.61 Following clause subsumed by 432 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).
% 0.42/0.61 Following clause subsumed by 438 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).
% 0.42/0.61 Following clause subsumed by 458 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).
% 0.42/0.61 Following clause subsumed by 460 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).
% 0.42/0.61 Following clause subsumed by 458 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).
% 0.42/0.61 Following clause subsumed by 462 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(D,B,A)| -c_HOL_Oord__class_Oless(C,c_HOL_Ozero__class_Ozero(A),A).
% 0.42/0.61 Following clause subsumed by 477 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).
% 0.42/0.61 Following clause subsumed by 485 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).
% 0.42/0.61 Following clause subsumed by 503 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).
% 0.42/0.61 Following clause subsumed by 504 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).
% 0.42/0.61 Following clause subsumed by 504 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).
% 0.42/0.61 Following clause subsumed by 443 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).
% 0.42/0.61 Following clause subsumed by 444 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).
% 0.42/0.61 Following clause subsumed by 535 during input processing: 0 [flip.1] {-} c_Int_OPls!=c_Int_OMin.
% 0.42/0.61 Following clause subsumed by 313 during input processing: 0 [] {-} -c_HOL_Oord__class_Oless(c_Int_OPls,c_Int_OPls,tc_Int_Oint).
% 0.42/0.61 Following clause subsumed by 542 during input processing: 0 [] {-} c_Int_OBit0(A)!=c_Int_OMin.
% 0.42/0.61 Following clause subsumed by 543 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).
% 0.42/0.61 Following clause subsumed by 544 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).
% 0.42/0.61 Following clause subsumed by 554 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__field(A)|c_Series_Osums(c_COMBC(c_COMBB(c_HOL_Oinverse__class_Odivide(A),B,A,tc_fun(A,A),tc_nat),C,tc_nat,A,A),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),D),C),A)| -c_Series_Osums(B,D,A).
% 0.42/0.61 Following clause subsumed by 565 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).
% 0.42/0.61 Following clause subsumed by 566 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).
% 0.42/0.62 Following clause subsumed by 567 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).
% 0.42/0.62 Following clause subsumed by 568 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).
% 0.42/0.62 Following clause subsumed by 46 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).
% 0.42/0.62 Following clause subsumed by 584 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)).
% 0.42/0.62 Following clause subsumed by 587 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).
% 0.42/0.62 Following clause subsumed by 586 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).
% 0.42/0.62 Following clause subsumed by 585 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).
% 0.42/0.62 Following clause subsumed by 586 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).
% 0.42/0.62 Following clause subsumed by 587 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).
% 0.42/0.62 Following clause subsumed by 585 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).
% 0.42/0.62 Following clause subsumed by 588 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).
% 0.42/0.62 Following clause subsumed by 589 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).
% 0.42/0.62 Following clause subsumed by 593 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 603 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__field(A)|c_Deriv_Oderiv(c_COMBB(B,C,A,A,A),D,hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),E),F),A)| -c_Deriv_Oderiv(B,hAPP(C,D),E,A)| -c_Deriv_Oderiv(C,D,F,A).
% 0.42/0.62 Following clause subsumed by 610 during input processing: 0 [flip.2] {-} -class_Ring__and__Field_Oring(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),E),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),B),E)),C)),D))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)),D).
% 0.42/0.62 Following clause subsumed by 675 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|c_Series_Osums(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(A),B),C,A,A,tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D),A)| -c_Series_Osums(C,D,A).
% 0.42/0.62 Following clause subsumed by 685 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).
% 0.42/0.62 Following clause subsumed by 595 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 702 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).
% 0.42/0.62 Following clause subsumed by 714 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).
% 0.42/0.62 Following clause subsumed by 715 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).
% 0.42/0.62 Following clause subsumed by 390 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).
% 0.42/0.62 Following clause subsumed by 389 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).
% 0.42/0.62 Following clause subsumed by 389 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_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(D,A),A).
% 0.42/0.62 Following clause subsumed by 390 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,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_lessequals(B,hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),D),c_Int_Onumber__class_Onumber__of(C,A)),A).
% 0.42/0.62 Following clause subsumed by 391 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_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(C,A),A).
% 0.42/0.62 Following clause subsumed by 392 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_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_lessequals(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),D),c_Int_Onumber__class_Onumber__of(C,A)),B,A).
% 0.42/0.62 Following clause subsumed by 392 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_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_lessequals(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),D),C),c_Int_Onumber__class_Onumber__of(B,A),A).
% 0.42/0.62 Following clause subsumed by 391 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_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),C,A).
% 0.42/0.62 Following clause subsumed by 738 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).
% 0.42/0.62 Following clause subsumed by 773 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).
% 0.42/0.62 Following clause subsumed by 774 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).
% 0.42/0.62 Following clause subsumed by 781 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).
% 0.42/0.62 Following clause subsumed by 699 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).
% 0.42/0.62 Following clause subsumed by 793 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).
% 0.42/0.62 Following clause subsumed by 792 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).
% 0.42/0.62 Following clause subsumed by 731 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).
% 0.42/0.62 Following clause subsumed by 729 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).
% 0.42/0.62 Following clause subsumed by 730 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).
% 0.42/0.62 Following clause subsumed by 728 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).
% 0.42/0.62 Following clause subsumed by 800 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).
% 0.42/0.62 Following clause subsumed by 816 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).
% 0.42/0.62 Following clause subsumed by 817 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).
% 0.42/0.62 Following clause subsumed by 589 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B),tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),B,tc_nat).
% 0.42/0.62 Following clause subsumed by 588 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B),tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),A,tc_nat).
% 0.42/0.63 Following clause subsumed by 833 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).
% 0.42/0.63 Following clause subsumed by 832 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(c_HOL_Ozero__class_Ozero(tc_nat),B,tc_nat)| -c_HOL_Oord__class_Oless(A,C,tc_nat).
% 0.42/0.63 Following clause subsumed by 600 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(A,B,tc_nat)| -c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),C),A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),C),B),tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),C,tc_nat).
% 0.42/0.63 Following clause subsumed by 833 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).
% 0.42/0.63 Following clause subsumed by 600 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(A,B,tc_nat)| -c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(c_Suc,C)),A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(c_Suc,C)),B),tc_nat).
% 0.42/0.63 Following clause subsumed by 698 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).
% 0.42/0.63 Following clause subsumed by 697 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).
% 0.42/0.63 Following clause subsumed by 696 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).
% 0.42/0.63 Following clause subsumed by 695 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).
% 0.42/0.63 Following clause subsumed by 698 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).
% 0.45/0.63 Following clause subsumed by 697 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).
% 0.45/0.63 Following clause subsumed by 696 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).
% 0.45/0.63 Following clause subsumed by 695 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).
% 0.45/0.63 Following clause subsumed by 809 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).
% 0.45/0.63 Following clause subsumed by 648 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).
% 0.45/0.63 Following clause subsumed by 649 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).
% 0.45/0.63 Following clause subsumed by 279 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).
% 0.45/0.63 Following clause subsumed by 777 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).
% 0.45/0.63 Following clause subsumed by 778 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).
% 0.45/0.63 Following clause subsumed by 777 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).
% 0.45/0.63 Following clause subsumed by 768 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).
% 0.45/0.63 Following clause subsumed by 761 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).
% 0.45/0.63 Following clause subsumed by 762 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).
% 0.45/0.63 Following clause subsumed by 767 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).
% 0.45/0.63 Following clause subsumed by 759 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).
% 0.45/0.63 Following clause subsumed by 760 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).
% 0.45/0.63 Following clause subsumed by 769 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).
% 0.45/0.63 Following clause subsumed by 760 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).
% 0.45/0.63 Following clause subsumed by 764 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).
% 0.45/0.63 Following clause subsumed by 763 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).
% 0.45/0.63 Following clause subsumed by 764 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).
% 0.45/0.63 Following clause subsumed by 761 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).
% 0.45/0.63 Following clause subsumed by 762 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).
% 0.45/0.63 Following clause subsumed by 765 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).
% 0.45/0.63 Following clause subsumed by 766 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).
% 0.45/0.63 Following clause subsumed by 774 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).
% 0.45/0.63 Following clause subsumed by 776 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).
% 0.45/0.63 Following clause subsumed by 773 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).
% 0.45/0.63 Following clause subsumed by 775 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).
% 0.45/0.63 Following clause subsumed by 778 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).
% 0.45/0.63 Following clause subsumed by 765 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).
% 0.45/0.63 Following clause subsumed by 766 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).
% 0.45/0.63 Following clause subsumed by 767 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).
% 0.45/0.63 Following clause subsumed by 769 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).
% 0.45/0.63 Following clause subsumed by 770 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).
% 0.45/0.63 Following clause subsumed by 759 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).
% 0.45/0.63 Following clause subsumed by 763 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).
% 0.45/0.63 Following clause subsumed by 768 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).
% 0.45/0.63 Following clause subsumed by 770 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).
% 0.45/0.63 Following clause subsumed by 773 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).
% 0.45/0.63 Following clause subsumed by 775 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).
% 0.45/0.63 Following clause subsumed by 774 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).
% 0.45/0.63 Following clause subsumed by 776 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).
% 0.45/0.63 Following clause subsumed by 852 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).
% 0.45/0.63 Following clause subsumed by 968 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.
% 0.45/0.63 Following clause subsumed by 903 during input processing: 0 [flip.5] {-} -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).
% 0.45/0.63 Following clause subsumed by 980 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)).
% 0.45/0.63 Following clause subsumed by 981 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)).
% 0.45/0.63 Following clause subsumed by 993 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)).
% 0.45/0.63 Following clause subsumed by 995 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)).
% 0.45/0.63 Following clause subsumed by 998 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)).
% 0.45/0.63 Following clause subsumed by 998 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)).
% 0.45/0.63 Following clause subsumed by 1011 during input processing: 0 [flip.1] {-} hAPP(c_Suc,A)!=A.
% 0.45/0.63 Following clause subsumed by 1022 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).
% 0.45/0.63 Following clause subsumed by 1034 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),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),C),B)),B)=C.
% 0.45/0.63 Following clause subsumed by 1034 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).
% 0.45/0.63 Following clause subsumed by 1034 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),B),C)),C)=B|C=c_HOL_Ozero__class_Ozero(A).
% 0.45/0.63 Following clause subsumed by 999 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)).
% 0.45/0.63 Following clause subsumed by 998 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))).
% 0.45/0.63 Following clause subsumed by 1043 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).
% 0.45/0.63 Following clause subsumed by 1058 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.
% 0.45/0.63 Following clause subsumed by 1004 during input processing: 0 [] {-} -class_OrderedGroup_Omonoid__mult(A)| -class_Int_Onumber(A)|hAPP(hAPP(c_Power_Opower__class_Opower(A),c_Int_Onumber__class_Onumber__of(B,A)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(B,A)),c_Int_Onumber__class_Onumber__of(B,A)).
% 0.45/0.64 Following clause subsumed by 1063 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).
% 0.45/0.64 Following clause subsumed by 1061 during input processing: 0 [flip.1] {-} c_Int_OBit1(A)!=c_Int_OPls.
% 0.45/0.64 Following clause subsumed by 1067 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)|B=C|A=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.45/0.64 Following clause subsumed by 1034 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).
% 0.45/0.64 Following clause subsumed by 1068 during input processing: 0 [] {-} hAPP(c_Suc,A)!=hAPP(c_Suc,B)|A=B.
% 0.45/0.64 Following clause subsumed by 1070 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).
% 0.45/0.64 Following clause subsumed by 1019 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).
% 0.45/0.64 Following clause subsumed by 1020 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).
% 0.45/0.64 Following clause subsumed by 1077 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.
% 0.45/0.64 Following clause subsumed by 1078 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.
% 0.45/0.64 Following clause subsumed by 1034 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).
% 0.45/0.64 Following clause subsumed by 1084 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).
% 0.45/0.64 Following clause subsumed by 1087 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).
% 0.45/0.64 Following clause subsumed by 1088 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).
% 0.45/0.64 Following clause subsumed by 1085 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).
% 0.45/0.64 Following clause subsumed by 1099 during input processing: 0 [] {-} hAPP(c_Suc,A)!=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.45/0.64 Following clause subsumed by 1072 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).
% 0.45/0.64 Following clause subsumed by 1101 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).
% 0.45/0.64 Following clause subsumed by 1096 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).
% 0.45/0.64 Following clause subsumed by 1072 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).
% 0.45/0.64 Following clause subsumed by 1131 during input processing: 0 [] {-} hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)!=A|B=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.45/0.64 Following clause subsumed by 1138 during input processing: 0 [] {-} c_HOL_Ozero__class_Ozero(tc_nat)!=hAPP(c_Suc,A).
% 0.45/0.64 Following clause subsumed by 1141 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)).
% 0.45/0.64 Following clause subsumed by 1104 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)).
% 0.45/0.64 Following clause subsumed by 1104 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)).
% 0.45/0.64 Following clause subsumed by 1148 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).
% 0.45/0.64 Following clause subsumed by 1154 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)).
% 0.45/0.64 Following clause subsumed by 1154 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)).
% 0.45/0.64 Following clause subsumed by 1175 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).
% 0.45/0.64 Following clause subsumed by 1114 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).
% 0.45/0.64 Following clause subsumed by 1114 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).
% 0.45/0.67 Following clause subsumed by 1198 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.
% 0.45/0.67 Following clause subsumed by 1024 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),B),c_Int_Onumber__class_Onumber__of(C,tc_nat))!=c_HOL_Ozero__class_Ozero(A)|B=c_HOL_Ozero__class_Ozero(A).
% 0.45/0.67 Following clause subsumed by 1203 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.
% 0.45/0.67 Following clause subsumed by 1203 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.
% 0.45/0.67 Following clause subsumed by 1203 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.
% 0.45/0.67 35 back subsumes 34.
% 0.45/0.67 51 back subsumes 4.
% 0.45/0.67 164 back subsumes 161.
% 0.45/0.67 165 back subsumes 162.
% 0.45/0.67 651 back subsumes 272.
% 0.45/0.67 685 back subsumes 684.
% 0.45/0.67 704 back subsumes 642.
% 0.45/0.67 704 back subsumes 641.
% 0.45/0.67 705 back subsumes 643.
% 0.45/0.67 705 back subsumes 640.
% 0.45/0.67 706 back subsumes 639.
% 0.45/0.67 706 back subsumes 624.
% 0.45/0.67 707 back subsumes 638.
% 0.45/0.67 707 back subsumes 625.
% 0.45/0.67 708 back subsumes 632.
% 0.45/0.67 708 back subsumes 629.
% 0.45/0.67 709 back subsumes 645.
% 0.45/0.67 709 back subsumes 630.
% 0.45/0.67 710 back subsumes 646.
% 0.45/0.67 710 back subsumes 631.
% 0.45/0.67 711 back subsumes 647.
% 0.45/0.67 711 back subsumes 644.
% 0.45/0.67 712 back subsumes 636.
% 0.45/0.67 712 back subsumes 626.
% 0.45/0.67 713 back subsumes 637.
% 0.45/0.67 713 back subsumes 635.
% 0.45/0.67 714 back subsumes 627.
% 0.45/0.67 714 back subsumes 623.
% 0.45/0.67 715 back subsumes 633.
% 0.45/0.67 715 back subsumes 621.
% 0.45/0.67 716 back subsumes 628.
% 0.45/0.67 716 back subsumes 622.
% 0.45/0.67 717 back subsumes 634.
% 0.45/0.67 717 back subsumes 620.
% 0.45/0.67 741 back subsumes 739.
% 0.45/0.67 742 back subsumes 740.
% 0.45/0.67 Following clause subsumed by 1189 during input processing: 0 [copy,977,flip.1] {-} c_Int_OBit0(A)!=c_Int_OBit1(B).
% 0.45/0.67 1034 back subsumes 1022.
% 0.45/0.67 1064 back subsumes 522.
% 0.45/0.67 1072 back subsumes 1041.
% 0.45/0.67 1084 back subsumes 1070.
% 0.45/0.67 Following clause subsumed by 1138 during input processing: 0 [copy,1099,flip.1] {-} c_HOL_Ozero__class_Ozero(tc_nat)!=hAPP(c_Suc,A).
% 0.45/0.67 1114 back subsumes 970.
% 0.45/0.67 Following clause subsumed by 1099 during input processing: 0 [copy,1138,flip.1] {-} hAPP(c_Suc,A)!=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.45/0.67 Following clause subsumed by 977 during input processing: 0 [copy,1189,flip.1] {-} c_Int_OBit1(A)!=c_Int_OBit0(B).
% 0.45/0.67 1302 back subsumes 1301.
% 0.45/0.67
% 0.45/0.67 ------------> process sos:
% 0.45/0.67 Following clause subsumed by 1418 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).
% 0.45/0.67 Following clause subsumed by 1418 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(A,B,tc_nat)|c_HOL_Oord__class_Oless(B,A,tc_nat)|B=A.
% 0.45/0.67 Following clause subsumed by 1482 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(A,hAPP(c_Suc,A),tc_nat).
% 0.45/0.67 Following clause subsumed by 1482 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(A,hAPP(c_Suc,A),tc_nat).
% 0.45/0.67 Following clause subsumed by 1500 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).
% 0.45/0.67 Following clause subsumed by 1500 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).
% 0.45/0.67 Following clause subsumed by 1541 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(c_Suc,A),tc_nat).
% 0.45/0.67 Following clause subsumed by 1572 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).
% 0.45/0.67 Following clause subsumed by 1525 during input processing: 0 [demod,1592] {-} c_HOL_Oone__class_Oone(tc_nat)=c_HOL_Oone__class_Oone(tc_nat).
% 0.45/0.69 Following clause subsumed by 1708 during input processing: 0 [demod,1553,1553,1674,1683,1698,1553] {-} 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)).
% 0.45/0.69 Following clause subsumed by 1714 during input processing: 0 [demod,1651,1651] {-} 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)).
% 0.45/0.69 Following clause subsumed by 1710 during input processing: 0 [demod,1553,1615,1704] {-} 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))).
% 0.45/0.69 Following clause subsumed by 1724 during input processing: 0 [] {-} hAPP(c_COMBS(A,B,C,D,E),F)=hAPP(hAPP(A,F),hAPP(B,F)).
% 0.45/0.69 Following clause subsumed by 1422 during input processing: 0 [] {-} hAPP(c_COMBC(A,B,C,D,E),F)=hAPP(hAPP(A,F),B).
% 0.45/0.69 Following clause subsumed by 1737 during input processing: 0 [demod,1723] {-} hAPP(A,hAPP(B,F))=hAPP(A,hAPP(B,F)).
% 0.45/0.69 Following clause subsumed by 1737 during input processing: 0 [] {-} A=A.
% 0.45/0.69 Following clause subsumed by 1425 during input processing: 0 [copy,1425,flip.1] {-} c_Lattices_Oupper__semilattice__class_Osup(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(A,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool)).
% 0.45/0.69 Following clause subsumed by 1427 during input processing: 0 [copy,1427,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).
% 0.45/0.69 Following clause subsumed by 1429 during input processing: 0 [copy,1429,flip.1] {-} c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(B,A,tc_fun(C,tc_bool)).
% 0.45/0.69 Following clause subsumed by 1737 during input processing: 0 [copy,1495,flip.1] {-} c_Int_OMin=c_Int_OMin.
% 0.45/0.69 Following clause subsumed by 1737 during input processing: 0 [copy,1525,flip.1,demod,1704,1704] {-} 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)).
% 0.45/0.69 Following clause subsumed by 1737 during input processing: 0 [copy,1632,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).
% 0.45/0.69 Following clause subsumed by 1737 during input processing: 0 [copy,1634,flip.1] {-} c_Divides_Odiv__class_Omod(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_Omod(hAPP(c_Suc,hAPP(c_Suc,hAPP(c_Suc,A))),c_Int_Onumber__class_Onumber__of(B,tc_nat),tc_nat).
% 0.45/0.69 Following clause subsumed by 1737 during input processing: 0 [copy,1664,flip.1,demod,1695,1695] {-} c_Int_Onumber__class_Onumber__of(c_Int_OMin,tc_nat)=c_Int_Onumber__class_Onumber__of(c_Int_OMin,tc_nat).
% 0.45/0.69 Following clause subsumed by 1737 during input processing: 0 [copy,1666,flip.1,demod,1692,1692] {-} c_Int_Onumber__class_Onumber__of(c_Int_OMin,tc_nat)=c_Int_Onumber__class_Onumber__of(c_Int_OMin,tc_nat).
% 0.45/0.69 Following clause subsumed by 1737 during input processing: 0 [copy,1685,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)).
% 0.45/0.69 Following clause subsumed by 1686 during input processing: 0 [copy,1686,flip.1] {-} hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),A).
% 0.45/0.69 Following clause subsumed by 1737 during input processing: 0 [copy,1706,flip.1] {-} c_Int_OPls=c_Int_OPls.
% 0.45/0.69 Following clause subsumed by 1737 during input processing: 0 [copy,1708,flip.1] {-} 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)).
% 0.45/0.69 Following clause subsumed by 1737 during input processing: 0 [copy,1710,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))).
% 0.45/0.69 Following clause subsumed by 1737 during input processing: 0 [copy,1712,flip.1] {-} c_Int_Onumber__class_Onumber__of(c_Int_OMin,tc_nat)=c_Int_Onumber__class_Onumber__of(c_Int_OMin,tc_nat).
% 0.45/0.69 Following clause subsumed by 1714 during input processing: 0 [copy,1714,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)).
% 0.45/0.69 Following clause subsumed by 1718 during input processing: 0 [copy,1718,flip.1] {-} hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),B)=hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),B),A).
% 0.45/0.69 Following clause subsumed by 1721 during input processing: 0 [copy,1721,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)).
% 0.45/0.69 Following clause subsumed by 1737 during input processing: 0 [copy,1737,flip.1] {-} A=A.
% 0.45/0.69 1737 back subsumes 1712.
% 0.45/0.69 1737 back subsumes 1710.
% 0.45/0.69 1737 back subsumes 1708.
% 0.45/0.69 1737 back subsumes 1706.
% 0.45/0.69 1737 back subsumes 1685.
% 0.45/0.69 1737 back subsumes 1634.
% 0.45/0.69 1737 back subsumes 1632.
% 0.45/0.69 1737 back subsumes 1495.
% 0.45/0.69 1737 back subsumes 1379.
% 0.45/0.69 1737 back subsumes 1339.
% 0.45/0.69 1737 back subsumes 1236.
% 0.45/0.69 1737 back subsumes 1219.
% 0.45/0.69 1737 back subsumes 1218.
% 0.45/0.69 1737 back subsumes 1217.
% 0.45/0.69 1737 back subsumes 1216.
% 0.45/0.69 1737 back subsumes 1215.
% 0.45/0.69 Following clause subsumed by 1422 during input processing: 0 [copy,1883,flip.1] {-} hAPP(c_COMBC(A,B,C,D,E),F)=hAPP(hAPP(A,F),B).
% 0.45/0.69 Following clause subsumed by 1453 during input processing: 0 [copy,1887,flip.1] {-} hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),c_Divides_Odiv__class_Odiv(B,A,tc_nat))=hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),B),c_Divides_Odiv__class_Omod(B,A,tc_nat)).
% 0.45/0.69 Following clause subsumed by 1455 during input processing: 0 [copy,1888,flip.1] {-} c_Set_Oimage(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),D,E)=c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(A,B,D,E),c_Set_Oimage(A,C,D,E),tc_fun(E,tc_bool)).
% 0.45/0.69 Following clause subsumed by 1501 during input processing: 0 [copy,1893,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)).
% 0.45/0.69 Following clause subsumed by 1512 during input processing: 0 [copy,1894,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).
% 0.45/0.69 Following clause subsumed by 1520 during input processing: 0 [copy,1895,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)).
% 0.45/0.69 Following clause subsumed by 1598 during input processing: 0 [copy,2040,flip.1] {-} c_FFT__Mirabelle_OIDFT(A,B,v_i)=c_Finite__Set_Osetsum(c_COMBS(c_COMBB(c_HOL_Oinverse__class_Odivide(tc_Complex_Ocomplex),B,tc_Complex_Ocomplex,tc_fun(tc_Complex_Ocomplex,tc_Complex_Ocomplex),tc_nat),c_COMBB(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),c_FFT__Mirabelle_Oroot(A)),hAPP(c_HOL_Otimes__class_Otimes(tc_nat),v_i),tc_nat,tc_Complex_Ocomplex,tc_nat),tc_nat,tc_Complex_Ocomplex,tc_Complex_Ocomplex),c_SetInterval_Oord__class_OatLeastLessThan(c_Int_Onumber__class_Onumber__of(c_Int_OMin,tc_nat),A,tc_nat),tc_nat,tc_Complex_Ocomplex).
% 0.45/0.69 Following clause subsumed by 1600 during input processing: 0 [copy,2041,flip.1] {-} c_FFT__Mirabelle_ODFT(A,B,v_i)=c_Finite__Set_Osetsum(c_COMBS(c_COMBB(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),c_COMBB(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),c_FFT__Mirabelle_Oroot(A)),hAPP(c_HOL_Otimes__class_Otimes(tc_nat),v_i),tc_nat,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex,tc_fun(tc_Complex_Ocomplex,tc_Complex_Ocomplex),tc_nat),B,tc_nat,tc_Complex_Ocomplex,tc_Complex_Ocomplex),c_SetInterval_Oord__class_OatLeastLessThan(c_Int_Onumber__class_Onumber__of(c_Int_OMin,tc_nat),A,tc_nat),tc_nat,tc_Complex_Ocomplex).
% 0.45/0.69 Following clause subsumed by 2102 during input processing: 0 [copy,2091,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)).
% 0.45/0.69 Following clause subsumed by 1648 during input processing: 0 [copy,2092,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)).
% 0.45/0.69 Following clause subsumed by 1672 during input processing: 0 [copy,2095,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)).
% 0.45/0.69 Following clause subsumed by 2091 during input processing: 0 [copy,2102,flip.1] {-} 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))=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).
% 0.45/0.69 Following clause subsumed by 1724 during input processing: 0 [copy,2123,flip.1] {-} hAPP(c_COMBS(A,B,C,D,E),F)=hAPP(hAPP(A,F),hAPP(B,F)).
% 0.45/0.69 Following clause subsumed by 1732 during input processing: 0 [copy,2124,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).
% 0.45/0.69
% 0.45/0.69 ======= end of input processing =======
% 0.81/1.06
% 0.81/1.06
% 0.81/1.06
% 0.81/1.06 Aborting on detection of an error:
% 0.81/1.06
% 0.81/1.06 Too many clauses (whew!).
% 0.81/1.06
%------------------------------------------------------------------------------