TSTP Solution File: ALG338-1 by SOS---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : ALG338-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n022.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 : Thu Jul 14 18:01:42 EDT 2022
% Result : Unknown 0.69s 0.88s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : ALG338-1 : TPTP v8.1.0. Released v4.1.0.
% 0.10/0.12 % Command : sos-script %s
% 0.12/0.33 % Computer : n022.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Wed Jun 8 16:42:35 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.54 ----- Otter 3.2, August 2001 -----
% 0.19/0.54 The process was started by sandbox2 on n022.cluster.edu,
% 0.19/0.54 Wed Jun 8 16:42:35 2022
% 0.19/0.54 The command was "./sos". The process ID is 1384.
% 0.19/0.54
% 0.19/0.54 set(prolog_style_variables).
% 0.19/0.54 set(auto).
% 0.19/0.54 dependent: set(auto1).
% 0.19/0.54 dependent: set(process_input).
% 0.19/0.54 dependent: clear(print_kept).
% 0.19/0.54 dependent: clear(print_new_demod).
% 0.19/0.54 dependent: clear(print_back_demod).
% 0.19/0.54 dependent: clear(print_back_sub).
% 0.19/0.54 dependent: set(control_memory).
% 0.19/0.54 dependent: assign(max_mem, 12000).
% 0.19/0.54 dependent: assign(pick_given_ratio, 4).
% 0.19/0.54 dependent: assign(stats_level, 1).
% 0.19/0.54 dependent: assign(pick_semantic_ratio, 3).
% 0.19/0.54 dependent: assign(sos_limit, 5000).
% 0.19/0.54 dependent: assign(max_weight, 60).
% 0.19/0.54 clear(print_given).
% 0.19/0.54
% 0.19/0.54 list(usable).
% 0.19/0.54
% 0.19/0.54 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=7.
% 0.19/0.54
% 0.19/0.54 This ia a non-Horn set with equality. The strategy will be
% 0.19/0.54 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.19/0.54 unit deletion, with positive clauses in sos and nonpositive
% 0.19/0.54 clauses in usable.
% 0.19/0.54
% 0.19/0.54 dependent: set(knuth_bendix).
% 0.19/0.54 dependent: set(para_from).
% 0.19/0.54 dependent: set(para_into).
% 0.19/0.54 dependent: clear(para_from_right).
% 0.19/0.54 dependent: clear(para_into_right).
% 0.19/0.54 dependent: set(para_from_vars).
% 0.19/0.54 dependent: set(eq_units_both_ways).
% 0.19/0.54 dependent: set(dynamic_demod_all).
% 0.19/0.54 dependent: set(dynamic_demod).
% 0.19/0.54 dependent: set(order_eq).
% 0.19/0.54 dependent: set(back_demod).
% 0.19/0.54 dependent: set(lrpo).
% 0.19/0.54 dependent: set(hyper_res).
% 0.19/0.54 dependent: set(unit_deletion).
% 0.19/0.54 dependent: set(factor).
% 0.19/0.54
% 0.19/0.54 ------------> process usable:
% 0.19/0.54 Following clause subsumed by 15 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__semiring__strict(A)|c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),C,A)| -c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A).
% 0.19/0.54 Following clause subsumed by 42 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(B,c_Int_Onumber__class_Onumber__of(C,A),A),c_Int_Onumber__class_Onumber__of(C,A),A)=B|c_Int_Onumber__class_Onumber__of(C,A)=c_HOL_Ozero__class_Ozero(A).
% 0.19/0.54 Following clause subsumed by 81 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|B=C|c_HOL_Oord__class_Oless(B,C,A)|c_HOL_Oord__class_Oless(C,B,A).
% 0.19/0.54 Following clause subsumed by 81 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,C,A)|C=B|c_HOL_Oord__class_Oless(C,B,A).
% 0.19/0.54 Following clause subsumed by 83 during input processing: 0 [] {-} A=B| -c_Ring__and__Field_Odvd__class_Odvd(B,A,tc_nat)| -c_Ring__and__Field_Odvd__class_Odvd(A,B,tc_nat).
% 0.19/0.54 Following clause subsumed by 83 during input processing: 0 [] {-} -c_Ring__and__Field_Odvd__class_Odvd(A,B,tc_nat)|B=A| -c_Ring__and__Field_Odvd__class_Odvd(B,A,tc_nat).
% 0.19/0.54 Following clause subsumed by 83 during input processing: 0 [] {-} A=B| -c_Ring__and__Field_Odvd__class_Odvd(B,A,tc_nat)| -c_Ring__and__Field_Odvd__class_Odvd(A,B,tc_nat).
% 0.19/0.54 Following clause subsumed by 94 during input processing: 0 [] {-} c_Suc(A)!=A.
% 0.19/0.54 Following clause subsumed by 101 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_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(B,A),C,A),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),c_HOL_Oinverse__class_Odivide(D,C,A),A).
% 0.19/0.54 Following clause subsumed by 104 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_Oinverse__class_Odivide(C,D,A),A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),D,A)| -c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(B,A),D,A),C,A).
% 0.19/0.54 Following clause subsumed by 144 during input processing: 0 [] {-} -class_Divides_Osemiring__div(A)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(B,C,A),C,A),c_Divides_Odiv__class_Omod(B,C,A),A)=B.
% 0.19/0.54 Following clause subsumed by 146 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C|c_HOL_Oord__class_Oless(B,C,A)| -c_lessequals(B,C,A).
% 0.19/0.54 Following clause subsumed by 146 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)|B=C| -c_lessequals(B,C,A).
% 0.19/0.54 Following clause subsumed by 146 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_lessequals(B,C,A)|B=C.
% 0.19/0.54 Following clause subsumed by 148 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|B=C|c_HOL_Oord__class_Oless(B,C,A)| -c_lessequals(B,C,A).
% 0.19/0.54 Following clause subsumed by 149 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)|C=B| -c_lessequals(B,C,A).
% 0.19/0.54 Following clause subsumed by 155 during input processing: 0 [] {-} -class_Ring__and__Field_Opordered__ring(A)|c_lessequals(c_HOL_Ozero__class_Ozero(A),c_HOL_Otimes__class_Otimes(B,C,A),A)| -c_lessequals(C,c_HOL_Ozero__class_Ozero(A),A)| -c_lessequals(B,c_HOL_Ozero__class_Ozero(A),A).
% 0.19/0.54 Following clause subsumed by 173 during input processing: 0 [flip.2] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(B,C,A),D,A)=c_HOL_Otimes__class_Otimes(B,c_HOL_Otimes__class_Otimes(C,D,A),A).
% 0.19/0.54 Following clause subsumed by 173 during input processing: 0 [flip.2] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(B,C,A),D,A)=c_HOL_Otimes__class_Otimes(B,c_HOL_Otimes__class_Otimes(C,D,A),A).
% 0.19/0.54 Following clause subsumed by 83 during input processing: 0 [] {-} A=B| -c_Ring__and__Field_Odvd__class_Odvd(A,B,tc_nat)| -c_Ring__and__Field_Odvd__class_Odvd(B,A,tc_nat).
% 0.19/0.54 Following clause subsumed by 83 during input processing: 0 [] {-} -c_Ring__and__Field_Odvd__class_Odvd(A,B,tc_nat)|B=A| -c_Ring__and__Field_Odvd__class_Odvd(B,A,tc_nat).
% 0.19/0.54 Following clause subsumed by 83 during input processing: 0 [] {-} -c_Ring__and__Field_Odvd__class_Odvd(A,B,tc_nat)| -c_Ring__and__Field_Odvd__class_Odvd(B,A,tc_nat)|B=A.
% 0.19/0.54 Following clause subsumed by 82 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C| -c_lessequals(C,B,A)| -c_lessequals(B,C,A).
% 0.19/0.54 Following clause subsumed by 81 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,C,A)|c_HOL_Oord__class_Oless(C,B,A)|C=B.
% 0.19/0.54 Following clause subsumed by 82 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C| -c_lessequals(C,B,A)| -c_lessequals(B,C,A).
% 0.19/0.54 Following clause subsumed by 179 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)|B=c_HOL_Ozero__class_Ozero(A)|c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(C,B,A),B,A)=C.
% 0.19/0.54 Following clause subsumed by 179 during input processing: 0 [flip.3] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(B,C,A),C,A)=B|C=c_HOL_Ozero__class_Ozero(A).
% 0.19/0.54 Following clause subsumed by 179 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(B,C,A),C,A)=B|C=c_HOL_Ozero__class_Ozero(A).
% 0.19/0.54 Following clause subsumed by 174 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(D,E,A),A)=c_HOL_Otimes__class_Otimes(D,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(B,C,A),E,A),A).
% 0.19/0.54 Following clause subsumed by 173 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(D,E,A),A)=c_HOL_Otimes__class_Otimes(B,c_HOL_Otimes__class_Otimes(C,c_HOL_Otimes__class_Otimes(D,E,A),A),A).
% 0.19/0.55 Following clause subsumed by 224 during input processing: 0 [] {-} -class_Ring__and__Field_Ono__zero__divisors(A)|c_HOL_Otimes__class_Otimes(B,C,A)!=c_HOL_Ozero__class_Ozero(A)|B=c_HOL_Ozero__class_Ozero(A)|C=c_HOL_Ozero__class_Ozero(A).
% 0.19/0.55 Following clause subsumed by 245 during input processing: 0 [] {-} -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ominus__class_Ominus(B,B,A)=c_HOL_Ozero__class_Ozero(A).
% 0.19/0.55 Following clause subsumed by 260 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_lessequals(B,c_HOL_Oinverse__class_Odivide(C,D,A),A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),D,A)| -c_lessequals(c_HOL_Otimes__class_Otimes(B,D,A),C,A).
% 0.19/0.55 Following clause subsumed by 263 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|c_HOL_Otimes__class_Otimes(B,c_HOL_Oplus__class_Oplus(C,D,A),A)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(B,D,A),A).
% 0.19/0.55 Following clause subsumed by 264 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(B,C,A),D,A)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,D,A),c_HOL_Otimes__class_Otimes(C,D,A),A).
% 0.19/0.55 Following clause subsumed by 261 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_Oinverse__class_Odivide(B,C,A),c_Int_Onumber__class_Onumber__of(D,A),A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),C,A)| -c_lessequals(B,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(D,A),C,A),A).
% 0.19/0.55 Following clause subsumed by 262 during input processing: 0 [flip.2] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(B,D,A),C,A)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(D,C,A),A).
% 0.19/0.55 Following clause subsumed by 298 during input processing: 0 [flip.2] {-} -class_RealVector_Oreal__normed__algebra(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(B,C,A),A)=c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(B,A),C,A).
% 0.19/0.55 Following clause subsumed by 300 during input processing: 0 [flip.2] {-} -class_RealVector_Oreal__normed__algebra(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(B,C,A),A)=c_HOL_Otimes__class_Otimes(B,c_HOL_Ouminus__class_Ouminus(C,A),A).
% 0.19/0.55 Following clause subsumed by 321 during input processing: 0 [] {-} c_Parity_Oeven__odd__class_Oeven(c_HOL_Oplus__class_Oplus(A,B,tc_nat),tc_nat)| -c_Parity_Oeven__odd__class_Oeven(B,tc_nat)| -c_Parity_Oeven__odd__class_Oeven(A,tc_nat).
% 0.19/0.55 Following clause subsumed by 323 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(c_HOL_Oplus__class_Oplus(A,B,tc_nat),tc_nat).
% 0.19/0.55 Following clause subsumed by 322 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(c_HOL_Oplus__class_Oplus(B,A,tc_nat),tc_nat).
% 0.19/0.55 Following clause subsumed by 322 during input processing: 0 [] {-} -c_Parity_Oeven__odd__class_Oeven(c_HOL_Oplus__class_Oplus(A,B,tc_nat),tc_nat)|c_Parity_Oeven__odd__class_Oeven(B,tc_nat)| -c_Parity_Oeven__odd__class_Oeven(A,tc_nat).
% 0.19/0.55 Following clause subsumed by 323 during input processing: 0 [] {-} -c_Parity_Oeven__odd__class_Oeven(c_HOL_Oplus__class_Oplus(A,B,tc_nat),tc_nat)| -c_Parity_Oeven__odd__class_Oeven(B,tc_nat)|c_Parity_Oeven__odd__class_Oeven(A,tc_nat).
% 0.19/0.55 Following clause subsumed by 321 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(c_HOL_Oplus__class_Oplus(B,A,tc_nat),tc_nat).
% 0.19/0.55 Following clause subsumed by 333 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),c_HOL_Oinverse__class_Odivide(B,C,A),A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),C,A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),B,A).
% 0.19/0.55 Following clause subsumed by 332 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),c_HOL_Oinverse__class_Odivide(B,C,A),A)| -c_HOL_Oord__class_Oless(C,c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A).
% 0.19/0.55 Following clause subsumed by 261 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_lessequals(c_HOL_Oinverse__class_Odivide(B,C,A),D,A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),C,A)| -c_lessequals(B,c_HOL_Otimes__class_Otimes(D,C,A),A).
% 0.19/0.55 Following clause subsumed by 347 during input processing: 0 [] {-} c_HOL_Oplus__class_Oplus(A,B,tc_nat)!=A|B=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.19/0.55 Following clause subsumed by 349 during input processing: 0 [] {-} c_Nat_Osemiring__1__class_Oof__nat(A,tc_Int_Oint)!=c_Nat_Osemiring__1__class_Oof__nat(B,tc_Int_Oint)|A=B.
% 0.19/0.55 Following clause subsumed by 38 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(A),c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(A),B,A),A).
% 0.19/0.55 Following clause subsumed by 205 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_Oinverse__class_Odivide(C,D,A),A)| -c_HOL_Oord__class_Oless(D,c_HOL_Ozero__class_Ozero(A),A)| -c_lessequals(C,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(B,A),D,A),A)| -c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(B,A),D,A),C,A).
% 0.19/0.55 Following clause subsumed by 364 during input processing: 0 [] {-} -class_Divides_Osemiring__div(A)|c_Ring__and__Field_Odvd__class_Odvd(B,C,A)| -c_Ring__and__Field_Odvd__class_Odvd(B,c_Divides_Odiv__class_Omod(C,D,A),A)| -c_Ring__and__Field_Odvd__class_Odvd(B,D,A).
% 0.19/0.55 Following clause subsumed by 365 during input processing: 0 [] {-} -class_Divides_Osemiring__div(A)|c_Ring__and__Field_Odvd__class_Odvd(B,c_Divides_Odiv__class_Omod(C,D,A),A)| -c_Ring__and__Field_Odvd__class_Odvd(B,D,A)| -c_Ring__and__Field_Odvd__class_Odvd(B,C,A).
% 0.19/0.55 Following clause subsumed by 372 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(A,c_HOL_Oplus__class_Oplus(B,C,tc_nat),tc_nat)| -c_HOL_Oord__class_Oless(A,B,tc_nat).
% 0.19/0.55 Following clause subsumed by 373 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(A,c_HOL_Oplus__class_Oplus(B,C,tc_nat),tc_nat)| -c_HOL_Oord__class_Oless(A,C,tc_nat).
% 0.19/0.55 Following clause subsumed by 383 during input processing: 0 [flip.1] {-} c_Suc(A)!=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.19/0.55 Following clause subsumed by 392 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)| -class_Int_Onumber__ring(A)|c_HOL_Oinverse__class_Oinverse(B,A)=c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(A),B,A).
% 0.19/0.55 Following clause subsumed by 320 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_Oinverse__class_Odivide(C,c_Int_Onumber__class_Onumber__of(D,A),A),A)| -c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(C,c_HOL_Otimes__class_Otimes(B,c_Int_Onumber__class_Onumber__of(D,A),A),A)| -c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(B,c_Int_Onumber__class_Onumber__of(D,A),A),C,A).
% 0.19/0.55 Following clause subsumed by 316 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_Oinverse__class_Odivide(B,c_Int_Onumber__class_Onumber__of(C,A),A),D,A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),D,A)| -c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(D,c_Int_Onumber__class_Onumber__of(C,A),A),B,A)| -c_HOL_Oord__class_Oless(B,c_HOL_Otimes__class_Otimes(D,c_Int_Onumber__class_Onumber__of(C,A),A),A).
% 0.19/0.55 Following clause subsumed by 315 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_Oinverse__class_Odivide(B,C,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_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(D,A),C,A),B,A)| -c_HOL_Oord__class_Oless(B,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(D,A),C,A),A).
% 0.19/0.55 Following clause subsumed by 403 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(A),B,A)=B.
% 0.19/0.55 Following clause subsumed by 417 during input processing: 0 [] {-} -class_Ring__and__Field_Oidom(A)| -class_Int_Onumber__ring(A)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(B,D,A),A)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,D,A),c_HOL_Otimes__class_Otimes(B,C,A),A).
% 0.19/0.55 Following clause subsumed by 434 during input processing: 0 [flip.2] {-} -class_OrderedGroup_Oab__group__add(A)|c_HOL_Oplus__class_Oplus(B,c_HOL_Ouminus__class_Ouminus(C,A),A)=c_HOL_Ominus__class_Ominus(B,C,A).
% 0.19/0.55 Following clause subsumed by 457 during input processing: 0 [] {-} -class_OrderedGroup_Opordered__ab__group__add__abs(A)|c_lessequals(c_HOL_Oabs__class_Oabs(B,A),C,A)| -c_lessequals(c_HOL_Ouminus__class_Ouminus(B,A),C,A)| -c_lessequals(B,C,A).
% 0.19/0.55 Following clause subsumed by 460 during input processing: 0 [] {-} c_HOL_Oplus__class_Oplus(A,B,tc_nat)!=c_HOL_Oplus__class_Oplus(A,C,tc_nat)|B=C.
% 0.19/0.55 Following clause subsumed by 469 during input processing: 0 [] {-} -class_Ring__and__Field_Opordered__cancel__semiring(A)|c_lessequals(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Ozero__class_Ozero(A),A)| -c_lessequals(C,c_HOL_Ozero__class_Ozero(A),A)| -c_lessequals(c_HOL_Ozero__class_Ozero(A),B,A).
% 0.19/0.55 Following clause subsumed by 470 during input processing: 0 [] {-} -class_Ring__and__Field_Opordered__cancel__semiring(A)|c_lessequals(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Ozero__class_Ozero(A),A)| -c_lessequals(c_HOL_Ozero__class_Ozero(A),C,A)| -c_lessequals(B,c_HOL_Ozero__class_Ozero(A),A).
% 0.19/0.55 Following clause subsumed by 470 during input processing: 0 [] {-} -class_Ring__and__Field_Opordered__cancel__semiring(A)|c_lessequals(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Ozero__class_Ozero(A),A)| -c_lessequals(B,c_HOL_Ozero__class_Ozero(A),A)| -c_lessequals(c_HOL_Ozero__class_Ozero(A),C,A).
% 0.19/0.55 Following clause subsumed by 312 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_Int_Onumber__class_Onumber__of(B,A)!=c_HOL_Ozero__class_Ozero(A)|c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(B,A),C,A),C,A)=c_Int_Onumber__class_Onumber__of(B,A).
% 0.19/0.55 Following clause subsumed by 99 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_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(C,A),D,A),A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),D,A)| -c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(B,D,A),c_Int_Onumber__class_Onumber__of(C,A),A).
% 0.19/0.55 Following clause subsumed by 103 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_Oinverse__class_Odivide(B,C,A),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,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(D,A),C,A),A).
% 0.19/0.55 Following clause subsumed by 206 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_Oinverse__class_Odivide(B,c_Int_Onumber__class_Onumber__of(C,A),A),D,A)| -c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(C,A),c_HOL_Ozero__class_Ozero(A),A)| -c_lessequals(c_HOL_Otimes__class_Otimes(D,c_Int_Onumber__class_Onumber__of(C,A),A),B,A)| -c_lessequals(B,c_HOL_Otimes__class_Otimes(D,c_Int_Onumber__class_Onumber__of(C,A),A),A).
% 0.19/0.55 Following clause subsumed by 205 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_Oinverse__class_Odivide(C,c_Int_Onumber__class_Onumber__of(D,A),A),A)| -c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(D,A),c_HOL_Ozero__class_Ozero(A),A)| -c_lessequals(C,c_HOL_Otimes__class_Otimes(B,c_Int_Onumber__class_Onumber__of(D,A),A),A)| -c_lessequals(c_HOL_Otimes__class_Otimes(B,c_Int_Onumber__class_Onumber__of(D,A),A),C,A).
% 0.19/0.55 Following clause subsumed by 209 during input processing: 0 [] {-} -class_Ring__and__Field_Ozero__neq__one(A)|c_HOL_Ozero__class_Ozero(A)!=c_HOL_Oone__class_Oone(A).
% 0.19/0.55 Following clause subsumed by 78 during input processing: 0 [] {-} -c_Ring__and__Field_Odvd__class_Odvd(A,B,tc_nat)|c_Ring__and__Field_Odvd__class_Odvd(A,C,tc_nat)| -c_Ring__and__Field_Odvd__class_Odvd(C,A,tc_nat)|c_Ring__and__Field_Odvd__class_Odvd(C,B,tc_nat)| -c_Ring__and__Field_Odvd__class_Odvd(B,C,tc_nat).
% 0.19/0.55 Following clause subsumed by 313 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(c_HOL_Oinverse__class_Odivide(D,c_Int_Onumber__class_Onumber__of(C,A),A),B,A).
% 0.19/0.55 Following clause subsumed by 314 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_Oinverse__class_Odivide(B,c_Int_Onumber__class_Onumber__of(C,A),A),D,A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),D,A)|c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(C,A),c_HOL_Ozero__class_Ozero(A),A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(C,A),A).
% 0.19/0.55 Following clause subsumed by 319 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_Oinverse__class_Odivide(C,c_Int_Onumber__class_Onumber__of(D,A),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,c_HOL_Otimes__class_Otimes(B,c_Int_Onumber__class_Onumber__of(D,A),A),A)| -c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(B,c_Int_Onumber__class_Onumber__of(D,A),A),C,A).
% 0.19/0.55 Following clause subsumed by 315 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_Oinverse__class_Odivide(B,c_Int_Onumber__class_Onumber__of(C,A),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_Otimes__class_Otimes(D,c_Int_Onumber__class_Onumber__of(C,A),A),B,A)| -c_HOL_Oord__class_Oless(B,c_HOL_Otimes__class_Otimes(D,c_Int_Onumber__class_Onumber__of(C,A),A),A).
% 0.19/0.55 Following clause subsumed by 521 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|c_Power_Opower__class_Opower(B,c_Suc(C),A)=c_HOL_Otimes__class_Otimes(B,c_Power_Opower__class_Opower(B,C,A),A).
% 0.19/0.55 Following clause subsumed by 526 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Otimes__class_Otimes(B,C,A)=c_HOL_Otimes__class_Otimes(C,B,A).
% 0.19/0.55 Following clause subsumed by 97 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__idom(A)|c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(B,c_Int_Onumber__class_Onumber__of(C,tc_nat),A),c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A)|c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(C,tc_nat),tc_nat).
% 0.19/0.55 Following clause subsumed by 539 during input processing: 0 [flip.2] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(B,C,A),D,A)=c_HOL_Oplus__class_Oplus(B,c_HOL_Oplus__class_Oplus(C,D,A),A).
% 0.19/0.55 Following clause subsumed by 539 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(B,C,A),D,A)=c_HOL_Oplus__class_Oplus(B,c_HOL_Oplus__class_Oplus(C,D,A),A).
% 0.19/0.55 Following clause subsumed by 552 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,B,A)|c_lessequals(B,B,A).
% 0.19/0.55 Following clause subsumed by 552 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_lessequals(B,C,A)|c_HOL_Oord__class_Oless(C,B,A).
% 0.19/0.55 Following clause subsumed by 552 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,C,A)|c_lessequals(C,B,A).
% 0.19/0.55 Following clause subsumed by 554 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -c_lessequals(B,C,A)| -c_HOL_Oord__class_Oless(C,B,A).
% 0.19/0.55 Following clause subsumed by 555 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)|c_HOL_Oinverse__class_Odivide(B,B,A)=c_HOL_Oone__class_Oone(A)|B=c_HOL_Ozero__class_Ozero(A).
% 0.19/0.55 Following clause subsumed by 555 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oinverse__class_Odivide(B,B,A)=c_HOL_Oone__class_Oone(A)|B=c_HOL_Ozero__class_Ozero(A).
% 0.19/0.55 Following clause subsumed by 137 during input processing: 0 [flip.2] {-} -class_Divides_Osemiring__div(A)|c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(B,c_Divides_Odiv__class_Omod(C,D,A),A),D,A)=c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(B,C,A),D,A).
% 0.19/0.55 Following clause subsumed by 138 during input processing: 0 [flip.2] {-} -class_Divides_Osemiring__div(A)|c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(B,D,A),C,A),D,A)=c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(B,C,A),D,A).
% 0.19/0.55 Following clause subsumed by 586 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__idom(A)|c_lessequals(c_HOL_Ozero__class_Ozero(A),c_Power_Opower__class_Opower(B,C,A),A)| -c_Parity_Oeven__odd__class_Oeven(C,tc_nat).
% 0.19/0.55 Following clause subsumed by 317 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,c_HOL_Oinverse__class_Odivide(D,c_Int_Onumber__class_Onumber__of(C,A),A),A).
% 0.19/0.55 Following clause subsumed by 318 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_Oinverse__class_Odivide(C,c_Int_Onumber__class_Onumber__of(D,A),A),A)| -c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A)|c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(D,A),c_HOL_Ozero__class_Ozero(A),A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(D,A),A).
% 0.19/0.56 Following clause subsumed by 586 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__idom(A)|c_lessequals(c_HOL_Ozero__class_Ozero(A),c_Power_Opower__class_Opower(B,c_Int_Onumber__class_Onumber__of(C,tc_nat),A),A)| -c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(C,tc_nat),tc_nat).
% 0.19/0.56 Following clause subsumed by 593 during input processing: 0 [] {-} -c_HOL_Oord__class_Oless(A,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat).
% 0.19/0.56 Following clause subsumed by 37 during input processing: 0 [] {-} -class_Ring__and__Field_Osemiring__0(A)| -class_Power_Opower(A)|c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(A),c_HOL_Ozero__class_Ozero(tc_nat),A)=c_HOL_Oone__class_Oone(A).
% 0.19/0.56 Following clause subsumed by 116 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(c_Power_Opower__class_Opower(B,c_Int_Onumber__class_Onumber__of(C,tc_nat),A),c_HOL_Ozero__class_Ozero(A),A).
% 0.19/0.56 Following clause subsumed by 381 during input processing: 0 [flip.2] {-} -class_Ring__and__Field_Oring(A)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(E,C,A),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(B,E,A),C,A),D,A),A)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,C,A),D,A).
% 0.19/0.56 Following clause subsumed by 206 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_Oinverse__class_Odivide(B,C,A),c_Int_Onumber__class_Onumber__of(D,A),A)| -c_HOL_Oord__class_Oless(C,c_HOL_Ozero__class_Ozero(A),A)| -c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(D,A),C,A),B,A)| -c_lessequals(B,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(D,A),C,A),A).
% 0.19/0.56 Following clause subsumed by 313 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(c_HOL_Oinverse__class_Odivide(D,C,A),c_Int_Onumber__class_Onumber__of(B,A),A).
% 0.19/0.56 Following clause subsumed by 314 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_Oinverse__class_Odivide(B,C,A),c_Int_Onumber__class_Onumber__of(D,A),A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(D,A),A)|c_HOL_Oord__class_Oless(C,c_HOL_Ozero__class_Ozero(A),A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),C,A).
% 0.19/0.56 Following clause subsumed by 316 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_Oinverse__class_Odivide(B,C,A),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_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(D,A),C,A),B,A)| -c_HOL_Oord__class_Oless(B,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(D,A),C,A),A).
% 0.19/0.56 Following clause subsumed by 654 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Oplus__class_Oplus(B,C,A)=c_HOL_Oplus__class_Oplus(C,B,A).
% 0.19/0.56 Following clause subsumed by 671 during input processing: 0 [] {-} c_HOL_Otimes__class_Otimes(A,B,tc_nat)!=c_HOL_Otimes__class_Otimes(A,C,tc_nat)|B=C|A=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.19/0.56 Following clause subsumed by 673 during input processing: 0 [] {-} -class_OrderedGroup_Ogroup__add(A)|c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(B,A),B,A)=c_HOL_Ozero__class_Ozero(A).
% 0.19/0.56 Following clause subsumed by 685 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|c_HOL_Otimes__class_Otimes(B,c_HOL_Ominus__class_Ominus(C,D,A),A)=c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(B,D,A),A).
% 0.19/0.56 Following clause subsumed by 686 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(B,C,A),D,A)=c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(B,D,A),c_HOL_Otimes__class_Otimes(C,D,A),A).
% 0.19/0.56 Following clause subsumed by 690 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oinverse__class_Odivide(B,c_HOL_Ozero__class_Ozero(A),A)=c_HOL_Ozero__class_Ozero(A).
% 0.19/0.56 Following clause subsumed by 96 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__idom(A)|c_lessequals(c_Power_Opower__class_Opower(B,c_Int_Onumber__class_Onumber__of(C,tc_nat),A),c_HOL_Ozero__class_Ozero(A),A)| -c_lessequals(B,c_HOL_Ozero__class_Ozero(A),A)|c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(C,tc_nat),tc_nat)|c_Int_Onumber__class_Onumber__of(C,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.19/0.56 Following clause subsumed by 53 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(A,B,tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Suc(C),A,tc_nat),c_HOL_Otimes__class_Otimes(c_Suc(C),B,tc_nat),tc_nat).
% 0.19/0.56 Following clause subsumed by 104 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_Oinverse__class_Odivide(C,c_Int_Onumber__class_Onumber__of(D,A),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_HOL_Otimes__class_Otimes(B,c_Int_Onumber__class_Onumber__of(D,A),A),C,A).
% 0.19/0.56 Following clause subsumed by 101 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_Otimes__class_Otimes(B,c_Int_Onumber__class_Onumber__of(C,A),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,c_HOL_Oinverse__class_Odivide(D,c_Int_Onumber__class_Onumber__of(C,A),A),A).
% 0.19/0.56 Following clause subsumed by 103 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_Oinverse__class_Odivide(B,c_Int_Onumber__class_Onumber__of(C,A),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,c_HOL_Otimes__class_Otimes(D,c_Int_Onumber__class_Onumber__of(C,A),A),A).
% 0.19/0.56 Following clause subsumed by 99 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_Otimes__class_Otimes(C,c_Int_Onumber__class_Onumber__of(D,A),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_HOL_Oinverse__class_Odivide(B,c_Int_Onumber__class_Onumber__of(D,A),A),C,A).
% 0.19/0.56 Following clause subsumed by 709 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),c_HOL_Oinverse__class_Oinverse(B,A),A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),B,A).
% 0.19/0.56 Following clause subsumed by 393 during input processing: 0 [flip.2] {-} -class_Divides_Osemiring__div(A)|c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(B,D,A),C,A),D,A)=c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(B,C,A),D,A).
% 0.19/0.56 Following clause subsumed by 495 during input processing: 0 [] {-} -class_Int_Onumber__ring(A)|c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(B,C,tc_Int_Oint),A)=c_HOL_Oplus__class_Oplus(c_Int_Onumber__class_Onumber__of(B,A),c_Int_Onumber__class_Onumber__of(C,A),A).
% 0.19/0.56 Following clause subsumed by 260 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_Oinverse__class_Odivide(C,c_Int_Onumber__class_Onumber__of(D,A),A),A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(D,A),A)| -c_lessequals(c_HOL_Otimes__class_Otimes(B,c_Int_Onumber__class_Onumber__of(D,A),A),C,A).
% 0.19/0.56 Following clause subsumed by 342 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_Otimes__class_Otimes(B,c_Int_Onumber__class_Onumber__of(C,A),A),D,A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(C,A),A)| -c_lessequals(B,c_HOL_Oinverse__class_Odivide(D,c_Int_Onumber__class_Onumber__of(C,A),A),A).
% 0.19/0.56 Following clause subsumed by 261 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_Oinverse__class_Odivide(B,c_Int_Onumber__class_Onumber__of(C,A),A),D,A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(C,A),A)| -c_lessequals(B,c_HOL_Otimes__class_Otimes(D,c_Int_Onumber__class_Onumber__of(C,A),A),A).
% 0.19/0.56 Following clause subsumed by 343 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_Otimes__class_Otimes(C,c_Int_Onumber__class_Onumber__of(D,A),A),A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(D,A),A)| -c_lessequals(c_HOL_Oinverse__class_Odivide(B,c_Int_Onumber__class_Onumber__of(D,A),A),C,A).
% 0.19/0.56 Following clause subsumed by 736 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__ring__strict(A)|c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(D,C,A),A)| -c_HOL_Oord__class_Oless(C,c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(D,B,A).
% 0.19/0.56 Following clause subsumed by 739 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__ring__strict(A)|c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(B,D,A),A)| -c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(D,C,A).
% 0.19/0.56 Following clause subsumed by 740 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__ring__strict(A)|c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(B,D,A),A)| -c_HOL_Oord__class_Oless(C,D,A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),B,A).
% 0.19/0.56 Following clause subsumed by 739 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__ring__strict(A)|c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(B,D,A),A)| -c_HOL_Oord__class_Oless(D,C,A)| -c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A).
% 0.19/0.56 Following clause subsumed by 53 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(A,B,tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(C,A,tc_nat),c_HOL_Otimes__class_Otimes(C,B,tc_nat),tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),C,tc_nat).
% 0.19/0.56 Following clause subsumed by 744 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(A,B,tc_nat),c_HOL_Otimes__class_Otimes(A,C,tc_nat),tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),A,tc_nat)| -c_HOL_Oord__class_Oless(B,C,tc_nat).
% 0.19/0.56 Following clause subsumed by 179 during input processing: 0 [flip.4] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(B,A),C,A),C,A)=c_Int_Onumber__class_Onumber__of(B,A)|C=c_HOL_Ozero__class_Ozero(A).
% 0.19/0.56 Following clause subsumed by 758 during input processing: 0 [] {-} c_Suc(A)!=c_Suc(B)|A=B.
% 0.19/0.56 Following clause subsumed by 753 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_Oinverse__class_Odivide(C,D,A),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_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(B,A),D,A),A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),D,A).
% 0.19/0.56 Following clause subsumed by 754 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_Oinverse__class_Odivide(C,D,A),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_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(B,A),D,A),C,A).
% 0.19/0.56 Following clause subsumed by 317 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),c_HOL_Oinverse__class_Odivide(D,C,A),A).
% 0.19/0.56 Following clause subsumed by 318 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_Oinverse__class_Odivide(C,D,A),A)| -c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(B,A),c_HOL_Ozero__class_Ozero(A),A)|c_HOL_Oord__class_Oless(D,c_HOL_Ozero__class_Ozero(A),A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),D,A).
% 0.19/0.56 Following clause subsumed by 320 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_Oinverse__class_Odivide(C,D,A),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_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(B,A),D,A),A)| -c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(B,A),D,A),C,A).
% 0.19/0.56 Following clause subsumed by 766 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(B,c_Int_Onumber__class_Onumber__of(C,A),A),c_Int_Onumber__class_Onumber__of(C,A),A)=B|c_Int_Onumber__class_Onumber__of(C,A)=c_HOL_Ozero__class_Ozero(A).
% 0.19/0.56 Following clause subsumed by 779 during input processing: 0 [] {-} c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(A,B,tc_nat),c_HOL_Otimes__class_Otimes(C,D,tc_nat),tc_nat)!=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(A,D,tc_nat),c_HOL_Otimes__class_Otimes(C,B,tc_nat),tc_nat)|B=D|A=C.
% 0.19/0.56 Following clause subsumed by 780 during input processing: 0 [] {-} -class_Ring__and__Field_Oidom(A)| -class_Int_Onumber__ring(A)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(D,E,A),A)!=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,E,A),c_HOL_Otimes__class_Otimes(D,C,A),A)|C=E|B=D.
% 0.19/0.56 Following clause subsumed by 751 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_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(C,A),D,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)| -c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(C,A),c_HOL_Oinverse__class_Odivide(B,D,A),A).
% 0.19/0.56 Following clause subsumed by 752 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_Oinverse__class_Odivide(C,D,A),A)| -c_HOL_Oord__class_Oless(D,c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(C,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(B,A),D,A),A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),D,A).
% 0.19/0.56 Following clause subsumed by 785 during input processing: 0 [] {-} A=B|c_HOL_Oord__class_Oless(A,B,tc_nat)| -c_HOL_Oord__class_Oless(A,c_Suc(B),tc_nat).
% 0.19/0.56 Following clause subsumed by 179 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(B,A),C,A),C,A)=c_Int_Onumber__class_Onumber__of(B,A)|C=c_HOL_Ozero__class_Ozero(A).
% 0.19/0.56 Following clause subsumed by 319 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_Oinverse__class_Odivide(C,D,A),A)| -c_HOL_Oord__class_Oless(D,c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(C,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(B,A),D,A),A)| -c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(B,A),D,A),C,A).
% 0.19/0.56 Following clause subsumed by 532 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),c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(B,tc_nat),A),A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),c_HOL_Ozero__class_Ozero(A),A).
% 0.19/0.56 Following clause subsumed by 795 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(B,C,A),C,A)=B|C=c_HOL_Ozero__class_Ozero(A).
% 0.19/0.56 Following clause subsumed by 799 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(A),B,A)=c_HOL_Ozero__class_Ozero(A).
% 0.19/0.56 Following clause subsumed by 800 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|c_HOL_Otimes__class_Otimes(B,c_HOL_Ozero__class_Ozero(A),A)=c_HOL_Ozero__class_Ozero(A).
% 0.19/0.56 Following clause subsumed by 797 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(A),B,A)=c_HOL_Ozero__class_Ozero(A).
% 0.19/0.56 Following clause subsumed by 744 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(A,B,tc_nat),c_HOL_Otimes__class_Otimes(A,C,tc_nat),tc_nat)| -c_HOL_Oord__class_Oless(B,C,tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),A,tc_nat).
% 0.19/0.56 Following clause subsumed by 745 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(A,B,tc_nat),c_HOL_Otimes__class_Otimes(C,B,tc_nat),tc_nat)| -c_HOL_Oord__class_Oless(A,C,tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),B,tc_nat).
% 0.19/0.56 Following clause subsumed by 571 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(c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(B,tc_nat),A),c_HOL_Ozero__class_Ozero(A),A).
% 0.19/0.56 Following clause subsumed by 831 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__semidom(A)|c_lessequals(c_HOL_Ozero__class_Ozero(A),c_Nat_Osemiring__1__class_Oof__nat(B,A),A).
% 0.19/0.56 Following clause subsumed by 837 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(A),B,A)=B.
% 0.19/0.56 Following clause subsumed by 853 during input processing: 0 [flip.2] {-} -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(B,A),A)=B.
% 0.19/0.56 Following clause subsumed by 853 during input processing: 0 [flip.2] {-} -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(B,A),A)=B.
% 0.19/0.56 Following clause subsumed by 853 during input processing: 0 [] {-} -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(B,A),A)=B.
% 0.19/0.56 Following clause subsumed by 860 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(c_Suc(A),c_Suc(B),tc_nat)| -c_HOL_Oord__class_Oless(A,B,tc_nat).
% 0.19/0.56 Following clause subsumed by 862 during input processing: 0 [] {-} -class_OrderedGroup_Opordered__ab__group__add(A)|c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(B,A),C,A)| -c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(C,A),B,A).
% 0.19/0.56 Following clause subsumed by 863 during input processing: 0 [] {-} -class_OrderedGroup_Opordered__ab__group__add(A)|c_HOL_Oord__class_Oless(B,c_HOL_Ouminus__class_Ouminus(C,A),A)| -c_HOL_Oord__class_Oless(C,c_HOL_Ouminus__class_Ouminus(B,A),A).
% 0.19/0.56 Following clause subsumed by 864 during input processing: 0 [] {-} -class_OrderedGroup_Opordered__ab__group__add(A)|c_lessequals(c_HOL_Ouminus__class_Ouminus(B,A),C,A)| -c_lessequals(c_HOL_Ouminus__class_Ouminus(C,A),B,A).
% 0.19/0.56 Following clause subsumed by 865 during input processing: 0 [] {-} -class_OrderedGroup_Opordered__ab__group__add(A)|c_lessequals(B,c_HOL_Ouminus__class_Ouminus(C,A),A)| -c_lessequals(C,c_HOL_Ouminus__class_Ouminus(B,A),A).
% 0.19/0.56 Following clause subsumed by 78 during input processing: 0 [] {-} -c_Ring__and__Field_Odvd__class_Odvd(A,B,tc_nat)|c_Ring__and__Field_Odvd__class_Odvd(A,C,tc_nat)| -c_Ring__and__Field_Odvd__class_Odvd(C,A,tc_nat)| -c_Ring__and__Field_Odvd__class_Odvd(B,C,tc_nat).
% 0.19/0.56 Following clause subsumed by 78 during input processing: 0 [] {-} -c_Ring__and__Field_Odvd__class_Odvd(A,B,tc_nat)| -c_Ring__and__Field_Odvd__class_Odvd(C,A,tc_nat)|c_Ring__and__Field_Odvd__class_Odvd(C,B,tc_nat)| -c_Ring__and__Field_Odvd__class_Odvd(B,C,tc_nat).
% 0.19/0.56 Following clause subsumed by 883 during input processing: 0 [] {-} c_lessequals(c_Int_OBit1(A),c_Int_OBit1(B),tc_Int_Oint)| -c_lessequals(A,B,tc_Int_Oint).
% 0.19/0.56 Following clause subsumed by 884 during input processing: 0 [] {-} c_lessequals(A,B,tc_Int_Oint)| -c_lessequals(c_Int_OBit1(A),c_Int_OBit1(B),tc_Int_Oint).
% 0.19/0.56 Following clause subsumed by 885 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(c_Int_OBit1(A),c_Int_OBit1(B),tc_Int_Oint)| -c_HOL_Oord__class_Oless(A,B,tc_Int_Oint).
% 0.19/0.56 Following clause subsumed by 886 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(A,B,tc_Int_Oint)| -c_HOL_Oord__class_Oless(c_Int_OBit1(A),c_Int_OBit1(B),tc_Int_Oint).
% 0.19/0.56 Following clause subsumed by 892 during input processing: 0 [] {-} c_lessequals(c_Int_OBit1(A),c_Int_OBit0(B),tc_Int_Oint)| -c_HOL_Oord__class_Oless(A,B,tc_Int_Oint).
% 0.19/0.56 Following clause subsumed by 893 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(A,B,tc_Int_Oint)| -c_lessequals(c_Int_OBit1(A),c_Int_OBit0(B),tc_Int_Oint).
% 0.19/0.56 Following clause subsumed by 897 during input processing: 0 [] {-} -c_HOL_Oord__class_Oless(A,A,tc_nat).
% 0.19/0.56 Following clause subsumed by 383 during input processing: 0 [] {-} c_Suc(A)!=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.19/0.56 Following clause subsumed by 383 during input processing: 0 [] {-} c_Suc(A)!=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.19/0.56 Following clause subsumed by 929 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(A,tc_Int_Oint),c_Nat_Osemiring__1__class_Oof__nat(B,tc_Int_Oint),tc_Int_Oint)| -c_HOL_Oord__class_Oless(A,B,tc_nat).
% 0.19/0.56 Following clause subsumed by 930 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(A,B,tc_nat)| -c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(A,tc_Int_Oint),c_Nat_Osemiring__1__class_Oof__nat(B,tc_Int_Oint),tc_Int_Oint).
% 0.19/0.57 Following clause subsumed by 768 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(B,A),A),c_Int_Onumber__class_Onumber__of(B,A),A)=c_HOL_Ozero__class_Ozero(A).
% 0.19/0.57 Following clause subsumed by 938 during input processing: 0 [] {-} c_Ring__and__Field_Odvd__class_Odvd(A,B,tc_nat)| -c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(C,A,tc_nat),c_HOL_Otimes__class_Otimes(C,B,tc_nat),tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),C,tc_nat).
% 0.19/0.57 Following clause subsumed by 628 during input processing: 0 [] {-} c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(A,B,tc_nat),c_HOL_Otimes__class_Otimes(A,C,tc_nat),tc_nat)| -c_Ring__and__Field_Odvd__class_Odvd(B,C,tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),A,tc_nat).
% 0.19/0.57 Following clause subsumed by 398 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),c_Power_Opower__class_Opower(B,c_Int_Onumber__class_Onumber__of(C,tc_nat),A),A).
% 0.19/0.57 Following clause subsumed by 554 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -class_Int_Onumber(A)| -c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(B,A),c_Int_Onumber__class_Onumber__of(C,A),A)| -c_lessequals(c_Int_Onumber__class_Onumber__of(C,A),c_Int_Onumber__class_Onumber__of(B,A),A).
% 0.19/0.57 Following clause subsumed by 552 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -class_Int_Onumber(A)|c_lessequals(c_Int_Onumber__class_Onumber__of(B,A),c_Int_Onumber__class_Onumber__of(C,A),A)|c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(C,A),c_Int_Onumber__class_Onumber__of(B,A),A).
% 0.19/0.57 Following clause subsumed by 478 during input processing: 0 [] {-} -class_Int_Onumber(A)| -class_Divides_Osemiring__div(A)|c_Divides_Odiv__class_Omod(c_Int_Onumber__class_Onumber__of(B,A),c_Int_Onumber__class_Onumber__of(C,A),A)=c_HOL_Ozero__class_Ozero(A)| -c_Ring__and__Field_Odvd__class_Odvd(c_Int_Onumber__class_Onumber__of(C,A),c_Int_Onumber__class_Onumber__of(B,A),A).
% 0.19/0.57 Following clause subsumed by 479 during input processing: 0 [] {-} -class_Int_Onumber(A)| -class_Divides_Osemiring__div(A)|c_Divides_Odiv__class_Omod(c_Int_Onumber__class_Onumber__of(B,A),c_Int_Onumber__class_Onumber__of(C,A),A)!=c_HOL_Ozero__class_Ozero(A)|c_Ring__and__Field_Odvd__class_Odvd(c_Int_Onumber__class_Onumber__of(C,A),c_Int_Onumber__class_Onumber__of(B,A),A).
% 0.19/0.57 Following clause subsumed by 294 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__idom(A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),c_Power_Opower__class_Opower(B,c_Int_Onumber__class_Onumber__of(C,tc_nat),A),A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),B,A)|c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(C,tc_nat),tc_nat).
% 0.19/0.57 Following clause subsumed by 521 during input processing: 0 [flip.2] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|c_Power_Opower__class_Opower(B,c_Suc(C),A)=c_HOL_Otimes__class_Otimes(B,c_Power_Opower__class_Opower(B,C,A),A).
% 0.19/0.57 Following clause subsumed by 897 during input processing: 0 [] {-} -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat).
% 0.19/0.57 Following clause subsumed by 940 during input processing: 0 [] {-} -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(A),A)=c_HOL_Ozero__class_Ozero(A).
% 0.19/0.57 Following clause subsumed by 964 during input processing: 0 [flip.3] {-} -class_Ring__and__Field_Ofield(A)| -class_Int_Onumber__ring(A)|c_HOL_Otimes__class_Otimes(B,c_HOL_Oinverse__class_Oinverse(C,A),A)=c_HOL_Oinverse__class_Odivide(B,C,A).
% 0.19/0.57 Following clause subsumed by 392 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)| -class_Int_Onumber(A)|c_HOL_Oinverse__class_Oinverse(c_Int_Onumber__class_Onumber__of(B,A),A)=c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(A),c_Int_Onumber__class_Onumber__of(B,A),A).
% 0.19/0.57 Following clause subsumed by 976 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(c_Int_OBit0(A),c_Int_OBit1(B),tc_Int_Oint)| -c_lessequals(A,B,tc_Int_Oint).
% 0.19/0.57 Following clause subsumed by 977 during input processing: 0 [] {-} c_lessequals(A,B,tc_Int_Oint)| -c_HOL_Oord__class_Oless(c_Int_OBit0(A),c_Int_OBit1(B),tc_Int_Oint).
% 0.19/0.57 Following clause subsumed by 978 during input processing: 0 [] {-} c_lessequals(c_Int_OBit0(A),c_Int_OBit0(B),tc_Int_Oint)| -c_lessequals(A,B,tc_Int_Oint).
% 0.19/0.57 Following clause subsumed by 979 during input processing: 0 [] {-} c_lessequals(A,B,tc_Int_Oint)| -c_lessequals(c_Int_OBit0(A),c_Int_OBit0(B),tc_Int_Oint).
% 0.19/0.57 Following clause subsumed by 980 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(c_Int_OBit0(A),c_Int_OBit0(B),tc_Int_Oint)| -c_HOL_Oord__class_Oless(A,B,tc_Int_Oint).
% 0.19/0.57 Following clause subsumed by 981 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(A,B,tc_Int_Oint)| -c_HOL_Oord__class_Oless(c_Int_OBit0(A),c_Int_OBit0(B),tc_Int_Oint).
% 0.19/0.57 Following clause subsumed by 697 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__idom(A)|c_Power_Opower__class_Opower(c_HOL_Oabs__class_Oabs(B,A),c_Int_Onumber__class_Onumber__of(C,tc_nat),A)=c_Power_Opower__class_Opower(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).
% 0.19/0.57 Following clause subsumed by 30 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)|c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(B,tc_nat),A)=c_HOL_Ozero__class_Ozero(A)|c_Int_Onumber__class_Onumber__of(B,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.19/0.57 Following clause subsumed by 29 during input processing: 0 [] {-} -class_Ring__and__Field_Osemiring__0(A)| -class_Power_Opower(A)|c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(B,tc_nat),A)=c_HOL_Ozero__class_Ozero(A)|c_Int_Onumber__class_Onumber__of(B,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.19/0.57 Following clause subsumed by 573 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(c_Power_Opower__class_Opower(B,c_Int_Onumber__class_Onumber__of(C,tc_nat),A),c_HOL_Ozero__class_Ozero(A),A).
% 0.19/0.57 Following clause subsumed by 572 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(c_Power_Opower__class_Opower(B,c_Int_Onumber__class_Onumber__of(C,tc_nat),A),c_HOL_Ozero__class_Ozero(A),A).
% 0.19/0.57 Following clause subsumed by 213 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(c_Power_Opower__class_Opower(B,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),A),c_Power_Opower__class_Opower(C,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),A),A).
% 0.19/0.57 Following clause subsumed by 1033 during input processing: 0 [flip.2] {-} -class_Int_Onumber__ring(A)|c_HOL_Ozero__class_Ozero(A)=c_Int_Onumber__class_Onumber__of(c_Int_OPls,A).
% 0.19/0.57 Following clause subsumed by 974 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(c_Power_Opower__class_Opower(D,B,A),c_Power_Opower__class_Opower(D,C,A),A)| -c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(A),D,A).
% 0.19/0.57 Following clause subsumed by 975 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__semidom(A)|c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(B,C,A),c_Power_Opower__class_Opower(B,D,A),A)| -c_HOL_Oord__class_Oless(C,D,tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(A),B,A).
% 0.19/0.57 Following clause subsumed by 840 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_Oinverse__class_Odivide(C,D,A),A)| -c_lessequals(c_Int_Onumber__class_Onumber__of(B,A),c_HOL_Ozero__class_Ozero(A),A)| -c_lessequals(C,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(B,A),D,A),A)| -c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(B,A),D,A),C,A).
% 0.19/0.57 Following clause subsumed by 841 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_Oinverse__class_Odivide(C,D,A),A)| -c_lessequals(c_Int_Onumber__class_Onumber__of(B,A),c_HOL_Ozero__class_Ozero(A),A)|c_HOL_Oord__class_Oless(D,c_HOL_Ozero__class_Ozero(A),A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),D,A).
% 0.19/0.57 Following clause subsumed by 842 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),c_HOL_Oinverse__class_Odivide(D,C,A),A).
% 0.19/0.57 Following clause subsumed by 486 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_Oinverse__class_Odivide(B,c_Int_Onumber__class_Onumber__of(C,A),A),D,A)| -c_lessequals(c_HOL_Ozero__class_Ozero(A),D,A)| -c_lessequals(c_HOL_Otimes__class_Otimes(D,c_Int_Onumber__class_Onumber__of(C,A),A),B,A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(C,A),A).
% 0.19/0.57 Following clause subsumed by 488 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_Oinverse__class_Odivide(C,c_Int_Onumber__class_Onumber__of(D,A),A),A)| -c_lessequals(B,c_HOL_Ozero__class_Ozero(A),A)| -c_lessequals(C,c_HOL_Otimes__class_Otimes(B,c_Int_Onumber__class_Onumber__of(D,A),A),A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(D,A),A).
% 0.19/0.57 Following clause subsumed by 1061 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_Oinverse__class_Odivide(B,C,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),B,A).
% 0.19/0.57 Following clause subsumed by 1060 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_Oinverse__class_Odivide(B,C,A),c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),C,A)| -c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A).
% 0.19/0.57 Following clause subsumed by 487 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_Oinverse__class_Odivide(B,C,A),c_Int_Onumber__class_Onumber__of(D,A),A)| -c_lessequals(c_HOL_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(D,A),A)|c_HOL_Oord__class_Oless(C,c_HOL_Ozero__class_Ozero(A),A)| -c_lessequals(B,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(D,A),C,A),A).
% 0.19/0.57 Following clause subsumed by 486 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_Oinverse__class_Odivide(B,C,A),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(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(D,A),C,A),B,A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),C,A).
% 0.19/0.57 Following clause subsumed by 843 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_Oinverse__class_Odivide(B,c_Int_Onumber__class_Onumber__of(C,A),A),D,A)| -c_lessequals(c_HOL_Ozero__class_Ozero(A),D,A)| -c_lessequals(c_HOL_Otimes__class_Otimes(D,c_Int_Onumber__class_Onumber__of(C,A),A),B,A)| -c_lessequals(B,c_HOL_Otimes__class_Otimes(D,c_Int_Onumber__class_Onumber__of(C,A),A),A).
% 0.19/0.57 Following clause subsumed by 840 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_Oinverse__class_Odivide(C,c_Int_Onumber__class_Onumber__of(D,A),A),A)| -c_lessequals(B,c_HOL_Ozero__class_Ozero(A),A)| -c_lessequals(C,c_HOL_Otimes__class_Otimes(B,c_Int_Onumber__class_Onumber__of(D,A),A),A)| -c_lessequals(c_HOL_Otimes__class_Otimes(B,c_Int_Onumber__class_Onumber__of(D,A),A),C,A).
% 0.19/0.57 Following clause subsumed by 483 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__idom(A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),c_Power_Opower__class_Opower(B,c_Int_Onumber__class_Onumber__of(C,tc_nat),A),A)|B=c_HOL_Ozero__class_Ozero(A)| -c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(C,tc_nat),tc_nat).
% 0.19/0.57 Following clause subsumed by 168 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),c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(B,tc_nat),A),A)| -c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(B,tc_nat),tc_nat).
% 0.19/0.57 Following clause subsumed by 690 during input processing: 0 [flip.3] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oinverse__class_Odivide(B,c_HOL_Ozero__class_Ozero(A),A)=c_HOL_Ozero__class_Ozero(A).
% 0.19/0.57 Following clause subsumed by 618 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__idom(A)|c_lessequals(c_HOL_Ozero__class_Ozero(A),c_Power_Opower__class_Opower(B,C,A),A)| -c_lessequals(c_HOL_Ozero__class_Ozero(A),B,A)|c_Parity_Oeven__odd__class_Oeven(C,tc_nat).
% 0.19/0.57 Following clause subsumed by 1098 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),c_Power_Opower__class_Opower(B,C,A),A)|c_Parity_Oeven__odd__class_Oeven(C,tc_nat).
% 0.19/0.57 Following clause subsumed by 618 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__idom(A)|c_lessequals(c_HOL_Ozero__class_Ozero(A),c_Power_Opower__class_Opower(B,C,A),A)| -c_lessequals(c_HOL_Ozero__class_Ozero(A),B,A)|c_Parity_Oeven__odd__class_Oeven(C,tc_nat).
% 0.19/0.57 Following clause subsumed by 1098 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__idom(A)|c_lessequals(c_HOL_Ozero__class_Ozero(A),B,A)|c_Parity_Oeven__odd__class_Oeven(C,tc_nat)| -c_lessequals(c_HOL_Ozero__class_Ozero(A),c_Power_Opower__class_Opower(B,C,A),A).
% 0.19/0.57 Following clause subsumed by 768 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(A),B,A),B,A)=c_HOL_Ozero__class_Ozero(A).
% 0.19/0.57 Following clause subsumed by 1115 during input processing: 0 [] {-} -class_Orderings_Opreorder(A)| -c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(C,B,A).
% 0.19/0.60 Following clause subsumed by 78 during input processing: 0 [] {-} c_Ring__and__Field_Odvd__class_Odvd(A,B,tc_nat)| -c_Ring__and__Field_Odvd__class_Odvd(C,B,tc_nat)|c_Ring__and__Field_Odvd__class_Odvd(C,A,tc_nat)| -c_Ring__and__Field_Odvd__class_Odvd(A,C,tc_nat).
% 0.19/0.60 Following clause subsumed by 78 during input processing: 0 [] {-} c_Ring__and__Field_Odvd__class_Odvd(A,B,tc_nat)|c_Ring__and__Field_Odvd__class_Odvd(B,C,tc_nat)| -c_Ring__and__Field_Odvd__class_Odvd(C,B,tc_nat)| -c_Ring__and__Field_Odvd__class_Odvd(A,C,tc_nat).
% 0.19/0.60 Following clause subsumed by 1122 during input processing: 0 [] {-} c_lessequals(c_Int_OBit0(A),c_Int_OBit1(B),tc_Int_Oint)| -c_lessequals(A,B,tc_Int_Oint).
% 0.19/0.60 Following clause subsumed by 1123 during input processing: 0 [] {-} c_lessequals(A,B,tc_Int_Oint)| -c_lessequals(c_Int_OBit0(A),c_Int_OBit1(B),tc_Int_Oint).
% 0.19/0.60 Following clause subsumed by 1125 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(c_Int_OBit1(A),c_Int_OBit0(B),tc_Int_Oint)| -c_HOL_Oord__class_Oless(A,B,tc_Int_Oint).
% 0.19/0.60 Following clause subsumed by 1126 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(A,B,tc_Int_Oint)| -c_HOL_Oord__class_Oless(c_Int_OBit1(A),c_Int_OBit0(B),tc_Int_Oint).
% 0.19/0.60 Following clause subsumed by 998 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)|c_Power_Opower__class_Opower(B,c_Int_Onumber__class_Onumber__of(C,tc_nat),A)!=c_HOL_Ozero__class_Ozero(A)|B=c_HOL_Ozero__class_Ozero(A).
% 0.19/0.60 Following clause subsumed by 1155 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)| -class_Int_Onumber__ring(A)|c_HOL_Oinverse__class_Odivide(B,c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),A),A)=B.
% 0.19/0.60 Following clause subsumed by 485 during input processing: 0 [flip.1] {-} c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)!=v_y____|c_Power_Opower__class_Opower(c_Fundamental__Theorem__Algebra__Mirabelle_Ocsqrt(v_z),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_Complex_Ocomplex)=v_z.
% 0.19/0.60 Following clause subsumed by 1171 during input processing: 0 [] {-} -class_OrderedGroup_Omonoid__mult(A)| -class_Int_Onumber(A)|c_Power_Opower__class_Opower(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),A)=c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(B,A),c_Int_Onumber__class_Onumber__of(B,A),A).
% 0.19/0.60 Following clause subsumed by 1176 during input processing: 0 [] {-} c_Int_OBit1(A)!=c_Int_OPls.
% 0.19/0.60 Following clause subsumed by 485 during input processing: 0 [flip.1] {-} c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)!=v_y____.
% 0.19/0.60 78 back subsumes 77.
% 0.19/0.60 103 back subsumes 100.
% 0.19/0.60 104 back subsumes 102.
% 0.19/0.60 125 back subsumes 124.
% 0.19/0.60 179 back subsumes 42.
% 0.19/0.60 260 back subsumes 127.
% 0.19/0.60 342 back subsumes 128.
% 0.19/0.60 343 back subsumes 275.
% 0.19/0.60 372 back subsumes 269.
% 0.19/0.60 373 back subsumes 268.
% 0.19/0.60 380 back subsumes 162.
% 0.19/0.60 392 back subsumes 286.
% 0.19/0.60 487 back subsumes 169.
% 0.19/0.60 488 back subsumes 130.
% 0.19/0.60 489 back subsumes 170.
% 0.19/0.60 489 back subsumes 129.
% 0.19/0.60 554 back subsumes 553.
% 0.19/0.60 618 back subsumes 350.
% 0.19/0.60 689 back subsumes 456.
% 0.19/0.60 715 back subsumes 259.
% 0.19/0.60 747 back subsumes 500.
% 0.19/0.60 747 back subsumes 395.
% 0.19/0.60 748 back subsumes 501.
% 0.19/0.60 748 back subsumes 394.
% 0.19/0.60 749 back subsumes 648.
% 0.19/0.60 749 back subsumes 646.
% 0.19/0.60 750 back subsumes 647.
% 0.19/0.60 750 back subsumes 517.
% 0.19/0.60 751 back subsumes 502.
% 0.19/0.60 752 back subsumes 503.
% 0.19/0.60 753 back subsumes 649.
% 0.19/0.60 754 back subsumes 516.
% 0.19/0.60 768 back subsumes 212.
% 0.19/0.60 795 back subsumes 766.
% 0.19/0.60 841 back subsumes 31.
% 0.19/0.60 842 back subsumes 32.
% 0.19/0.60 843 back subsumes 47.
% 0.19/0.60 844 back subsumes 46.
% 0.19/0.60 844 back subsumes 33.
% 0.19/0.60 845 back subsumes 45.
% 0.19/0.60 845 back subsumes 34.
% 0.19/0.60 898 back subsumes 891.
% 0.19/0.60 906 back subsumes 905.
% 0.19/0.60 934 back subsumes 698.
% 0.19/0.60 947 back subsumes 946.
% 0.19/0.60 1054 back subsumes 639.
% 0.19/0.60 1054 back subsumes 530.
% 0.19/0.60 1055 back subsumes 640.
% 0.19/0.60 1055 back subsumes 531.
% 0.19/0.60 1056 back subsumes 792.
% 0.19/0.60 1056 back subsumes 641.
% 0.19/0.60 1057 back subsumes 791.
% 0.19/0.60 1057 back subsumes 642.
% 0.19/0.60 1098 back subsumes 351.
% 0.19/0.60 Following clause subsumed by 1184 during input processing: 0 [copy,1179,flip.1] {-} c_Int_OBit0(A)!=c_Int_OBit1(B).
% 0.19/0.60 Following clause subsumed by 1179 during input processing: 0 [copy,1184,flip.1] {-} c_Int_OBit1(A)!=c_Int_OBit0(B).
% 0.19/0.60 1246 back subsumes 1245.
% 0.19/0.60
% 0.19/0.60 ------------> process sos:
% 0.19/0.60 Following clause subsumed by 1391 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(A,c_Suc(A),tc_nat).
% 0.19/0.60 Following clause subsumed by 1402 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(A,B,tc_nat)|c_HOL_Oord__class_Oless(B,A,tc_nat)|B=A.
% 0.19/0.60 Following clause subsumed by 1393 during input processing: 0 [] {-} c_Ring__and__Field_Odvd__class_Odvd(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat).
% 0.19/0.60 Following clause subsumed by 1427 during input processing: 0 [] {-} c_Parity_Oeven__odd__class_Oeven(c_HOL_Oplus__class_Oplus(A,B,tc_nat),tc_nat)|c_Parity_Oeven__odd__class_Oeven(B,tc_nat)|c_Parity_Oeven__odd__class_Oeven(A,tc_nat).
% 0.19/0.60 Following clause subsumed by 1427 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(c_HOL_Oplus__class_Oplus(A,B,tc_nat),tc_nat).
% 0.19/0.60 Following clause subsumed by 1391 during input processing: 0 [unit_del,897] {-} c_HOL_Oord__class_Oless(A,c_Suc(A),tc_nat).
% 0.19/0.60 Following clause subsumed by 1435 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(A,c_Suc(c_HOL_Oplus__class_Oplus(A,B,tc_nat)),tc_nat).
% 0.19/0.60 Following clause subsumed by 1447 during input processing: 0 [] {-} c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(A,B,tc_nat),c_HOL_Otimes__class_Otimes(A,C,tc_nat),tc_nat)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(A,C,tc_nat),c_HOL_Otimes__class_Otimes(A,B,tc_nat),tc_nat).
% 0.19/0.60 Following clause subsumed by 1474 during input processing: 0 [demod,1444] {-} c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),A,tc_nat),tc_nat).
% 0.19/0.60 Following clause subsumed by 1468 during input processing: 0 [demod,1444,1444] {-} c_HOL_Oplus__class_Oplus(A,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),B,tc_nat),tc_nat)=c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(A,B,tc_nat),tc_nat).
% 0.19/0.60 Following clause subsumed by 1393 during input processing: 0 [] {-} c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat).
% 0.19/0.60 Following clause subsumed by 1497 during input processing: 0 [demod,1444,1504,1444,1504,1440,1444,1504] {-} c_HOL_Oone__class_Oone(tc_nat)=c_HOL_Oone__class_Oone(tc_nat).
% 0.19/0.60 Following clause subsumed by 1454 during input processing: 0 [demod,1522] {-} c_HOL_Oplus__class_Oplus(c_Nat_Osemiring__1__class_Oof__nat(A,tc_Int_Oint),c_Nat_Osemiring__1__class_Oof__nat(B,tc_Int_Oint),tc_Int_Oint)=c_HOL_Oplus__class_Oplus(c_Nat_Osemiring__1__class_Oof__nat(A,tc_Int_Oint),c_Nat_Osemiring__1__class_Oof__nat(B,tc_Int_Oint),tc_Int_Oint).
% 0.19/0.60 Following clause subsumed by 1422 during input processing: 0 [] {-} c_HOL_Oeq__class_Oeq(c_Int_OPls,c_Int_OPls,tc_Int_Oint).
% 0.19/0.60 Following clause subsumed by 1530 during input processing: 0 [demod,1444,1528,1444,1528,1528] {-} c_HOL_Oone__class_Oone(tc_nat)=c_HOL_Oone__class_Oone(tc_nat).
% 0.19/0.60 Following clause subsumed by 1530 during input processing: 0 [demod,1581,1411,1544,1581] {-} c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat)=c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat).
% 0.19/0.60 Following clause subsumed by 1530 during input processing: 0 [demod,1444,1444,1444,1581,1466,1466] {-} c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),A,tc_nat),tc_nat),tc_nat)=c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),A,tc_nat),tc_nat),tc_nat).
% 0.19/0.60 Following clause subsumed by 1530 during input processing: 0 [demod,1444,1528,1532,1444,1528] {-} c_HOL_Oone__class_Oone(tc_nat)=c_HOL_Oone__class_Oone(tc_nat).
% 0.43/0.61 Following clause subsumed by 1530 during input processing: 0 [demod,1544,1595] {-} A=A.
% 0.43/0.61 Following clause subsumed by 1530 during input processing: 0 [demod,1557,1624,1557,1411,1544,1624] {-} c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat)=c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat).
% 0.43/0.61 Following clause subsumed by 1530 during input processing: 0 [demod,1557,1624] {-} c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat)=c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat).
% 0.43/0.61 Following clause subsumed by 1530 during input processing: 0 [demod,1557,1624,1466,1444,1444] {-} c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),A,tc_nat),tc_nat)=c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),A,tc_nat),tc_nat).
% 0.43/0.61 Following clause subsumed by 1530 during input processing: 0 [demod,1557,1634,1644,1415,1440,1440] {-} c_HOL_Oplus__class_Oplus(A,A,tc_nat)=c_HOL_Oplus__class_Oplus(A,A,tc_nat).
% 0.43/0.61 Following clause subsumed by 1530 during input processing: 0 [demod,1557,1634,1644,1417,1438,1438] {-} c_HOL_Oplus__class_Oplus(A,A,tc_nat)=c_HOL_Oplus__class_Oplus(A,A,tc_nat).
% 0.43/0.61 Following clause subsumed by 1530 during input processing: 0 [demod,1646] {-} c_Int_Onumber__class_Onumber__of(c_Int_OPls,tc_nat)=c_Int_Onumber__class_Onumber__of(c_Int_OPls,tc_nat).
% 0.43/0.61 Following clause subsumed by 1530 during input processing: 0 [demod,1578] {-} c_HOL_Oone__class_Oone(tc_nat)=c_HOL_Oone__class_Oone(tc_nat).
% 0.43/0.61 Following clause subsumed by 1530 during input processing: 0 [demod,1578] {-} c_HOL_Oone__class_Oone(tc_nat)=c_HOL_Oone__class_Oone(tc_nat).
% 0.43/0.61 Following clause subsumed by 1530 during input processing: 0 [demod,1557,1541] {-} c_Int_OPls=c_Int_OPls.
% 0.43/0.61 Following clause subsumed by 1530 during input processing: 0 [demod,1557,1541] {-} c_Int_OPls=c_Int_OPls.
% 0.43/0.61 Following clause subsumed by 1530 during input processing: 0 [] {-} A=A.
% 0.43/0.61 Following clause subsumed by 1487 during input processing: 0 [copy,1446,flip.1] {-} c_HOL_Oplus__class_Oplus(A,c_HOL_Oone__class_Oone(tc_nat),tc_nat)=c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),A,tc_nat).
% 0.43/0.61 Following clause subsumed by 1487 during input processing: 0 [copy,1447,flip.1] {-} c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(A,B,tc_nat),c_HOL_Otimes__class_Otimes(A,C,tc_nat),tc_nat)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(A,C,tc_nat),c_HOL_Otimes__class_Otimes(A,B,tc_nat),tc_nat).
% 0.43/0.61 Following clause subsumed by 1530 during input processing: 0 [copy,1454,flip.1] {-} c_HOL_Oplus__class_Oplus(A,B,tc_Int_Oint)=c_HOL_Oplus__class_Oplus(A,B,tc_Int_Oint).
% 0.43/0.61 Following clause subsumed by 1462 during input processing: 0 [copy,1462,flip.1] {-} c_HOL_Otimes__class_Otimes(A,B,tc_nat)=c_HOL_Otimes__class_Otimes(B,A,tc_nat).
% 0.43/0.61 Following clause subsumed by 1467 during input processing: 0 [copy,1467,flip.1] {-} c_HOL_Oplus__class_Oplus(A,c_HOL_Oplus__class_Oplus(B,C,tc_Int_Oint),tc_Int_Oint)=c_HOL_Oplus__class_Oplus(B,c_HOL_Oplus__class_Oplus(A,C,tc_Int_Oint),tc_Int_Oint).
% 0.43/0.61 Following clause subsumed by 1468 during input processing: 0 [copy,1468,flip.1] {-} c_HOL_Oplus__class_Oplus(A,c_HOL_Oplus__class_Oplus(B,C,tc_nat),tc_nat)=c_HOL_Oplus__class_Oplus(B,c_HOL_Oplus__class_Oplus(A,C,tc_nat),tc_nat).
% 0.43/0.61 Following clause subsumed by 1530 during input processing: 0 [copy,1481,flip.1] {-} c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(A,B,tc_nat),tc_nat)=c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(A,B,tc_nat),tc_nat).
% 0.43/0.61 Following clause subsumed by 1487 during input processing: 0 [copy,1487,flip.1] {-} c_HOL_Oplus__class_Oplus(A,B,tc_nat)=c_HOL_Oplus__class_Oplus(B,A,tc_nat).
% 0.43/0.61 1487 back subsumes 1447.
% 0.43/0.61 1487 back subsumes 1446.
% 0.43/0.61 Following clause subsumed by 1488 during input processing: 0 [copy,1488,flip.1] {-} c_HOL_Oplus__class_Oplus(A,B,tc_Int_Oint)=c_HOL_Oplus__class_Oplus(B,A,tc_Int_Oint).
% 0.46/0.63 Following clause subsumed by 1530 during input processing: 0 [copy,1490,flip.1] {-} c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(A,B,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(C,B,tc_nat),D,tc_nat),tc_nat)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(A,B,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(C,B,tc_nat),D,tc_nat),tc_nat).
% 0.46/0.63 Following clause subsumed by 1530 during input processing: 0 [copy,1497,flip.1] {-} c_HOL_Oone__class_Oone(tc_nat)=c_HOL_Oone__class_Oone(tc_nat).
% 0.46/0.63 Following clause subsumed by 1530 during input processing: 0 [copy,1513,flip.1,demod,1646,1646] {-} c_Int_Onumber__class_Onumber__of(c_Int_OPls,tc_nat)=c_Int_Onumber__class_Onumber__of(c_Int_OPls,tc_nat).
% 0.46/0.63 Following clause subsumed by 1530 during input processing: 0 [copy,1530,flip.1] {-} A=A.
% 0.46/0.63 1530 back subsumes 1513.
% 0.46/0.63 1530 back subsumes 1497.
% 0.46/0.63 1530 back subsumes 1490.
% 0.46/0.63 1530 back subsumes 1481.
% 0.46/0.63 1530 back subsumes 1454.
% 0.46/0.63 1530 back subsumes 1374.
% 0.46/0.63 1530 back subsumes 1318.
% 0.46/0.63 1530 back subsumes 1224.
% 0.46/0.63 1530 back subsumes 1215.
% 0.46/0.63 1530 back subsumes 1214.
% 0.46/0.63 1530 back subsumes 1213.
% 0.46/0.63 1530 back subsumes 1202.
% 0.46/0.63 1530 back subsumes 1201.
% 0.46/0.63 1530 back subsumes 1200.
% 0.46/0.63 1530 back subsumes 1199.
% 0.46/0.63 1530 back subsumes 1198.
% 0.46/0.63 1591 back subsumes 1535.
% 0.46/0.63 Following clause subsumed by 1530 during input processing: 0 [copy,1850,flip.1,demod,2081,2081] {-} c_Int_Onumber__class_Onumber__of(c_Int_OPls,tc_nat)=c_Int_Onumber__class_Onumber__of(c_Int_OPls,tc_nat).
% 0.46/0.63 Following clause subsumed by 1530 during input processing: 0 [copy,1851,flip.1,demod,2083,2083] {-} c_Int_Onumber__class_Onumber__of(c_Int_OPls,tc_nat)=c_Int_Onumber__class_Onumber__of(c_Int_OPls,tc_nat).
% 0.46/0.63 Following clause subsumed by 1958 during input processing: 0 [copy,1957,flip.1] {-} c_HOL_Oplus__class_Oplus(c_Int_OBit1(A),c_Int_OBit1(B),tc_Int_Oint)=c_HOL_Oplus__class_Oplus(A,c_HOL_Oplus__class_Oplus(c_Int_Osucc(B),c_HOL_Oplus__class_Oplus(A,c_Int_Osucc(B),tc_Int_Oint),tc_Int_Oint),tc_Int_Oint).
% 0.46/0.63 Following clause subsumed by 1957 during input processing: 0 [copy,1958,flip.1] {-} c_HOL_Oplus__class_Oplus(A,c_HOL_Oplus__class_Oplus(c_Int_Osucc(B),c_HOL_Oplus__class_Oplus(A,c_Int_Osucc(B),tc_Int_Oint),tc_Int_Oint),tc_Int_Oint)=c_HOL_Oplus__class_Oplus(c_Int_OBit1(A),c_Int_OBit1(B),tc_Int_Oint).
% 0.46/0.63 Following clause subsumed by 1967 during input processing: 0 [copy,1965,flip.1] {-} c_Int_OBit1(A)!=c_HOL_Oplus__class_Oplus(B,B,tc_Int_Oint).
% 0.46/0.63 Following clause subsumed by 1965 during input processing: 0 [copy,1967,flip.1] {-} c_HOL_Oplus__class_Oplus(A,A,tc_Int_Oint)!=c_Int_OBit1(B).
% 0.46/0.63 1983 back subsumes 1971.
% 0.46/0.63 2024 back subsumes 1982.
% 0.46/0.63 Following clause subsumed by 1587 during input processing: 0 [copy,2063,flip.1] {-} c_Divides_Odiv__class_Odiv(A,c_HOL_Otimes__class_Otimes(B,C,tc_nat),tc_nat)=c_Divides_Odiv__class_Odiv(c_Divides_Odiv__class_Odiv(A,B,tc_nat),C,tc_nat).
% 0.46/0.63 Following clause subsumed by 2074 during input processing: 0 [copy,2064,flip.1] {-} c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(A,B,tc_nat),A,tc_nat)=c_Int_Onumber__class_Onumber__of(c_Int_OPls,tc_nat).
% 0.46/0.63 Following clause subsumed by 1613 during input processing: 0 [copy,2065,flip.1] {-} c_HOL_Oplus__class_Oplus(A,c_HOL_Oplus__class_Oplus(A,c_Int_OBit1(B),tc_Int_Oint),tc_Int_Oint)=c_HOL_Oplus__class_Oplus(c_Int_OBit1(A),c_HOL_Oplus__class_Oplus(B,B,tc_Int_Oint),tc_Int_Oint).
% 0.46/0.63 Following clause subsumed by 1626 during input processing: 0 [copy,2068,flip.1] {-} c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),A,tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat)=c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_Divides_Odiv__class_Odiv(A,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat).
% 0.46/0.63 Following clause subsumed by 1631 during input processing: 0 [copy,2069,flip.1] {-} c_HOL_Oplus__class_Oplus(A,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat)=c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),A,tc_nat),tc_nat).
% 0.46/0.63 2072 back subsumes 1858.
% 0.46/0.63 2072 back subsumes 1262.
% 0.46/0.63 Following clause subsumed by 2064 during input processing: 0 [copy,2074,flip.1] {-} c_Int_Onumber__class_Onumber__of(c_Int_OPls,tc_nat)=c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(A,B,tc_nat),A,tc_nat).
% 0.46/0.63 2088 back subsumes 2073.
% 0.46/0.63 Following clause subsumed by 2171 during input processing: 0 [copy,2170,flip.1] {-} c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(A,c_HOL_Oone__class_Oone(tc_nat),tc_nat),B,tc_nat)=c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),A,tc_nat),B,tc_nat).
% 0.46/0.63 Following clause subsumed by 2170 during input processing: 0 [copy,2171,flip.1] {-} c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),A,tc_nat),B,tc_nat)=c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(A,c_HOL_Oone__class_Oone(tc_nat),tc_nat),B,tc_nat).
% 0.46/0.63 Following clause subsumed by 1961 during input processing: 0 [copy,2186,flip.1] {-} c_HOL_Oplus__class_Oplus(A,c_HOL_Oplus__class_Oplus(B,c_HOL_Oplus__class_Oplus(A,B,tc_Int_Oint),tc_Int_Oint),tc_Int_Oint)=c_HOL_Oplus__class_Oplus(A,c_HOL_Oplus__class_Oplus(A,c_HOL_Oplus__class_Oplus(B,B,tc_Int_Oint),tc_Int_Oint),tc_Int_Oint).
% 0.46/0.63 Following clause subsumed by 1962 during input processing: 0 [copy,2187,flip.1] {-} c_HOL_Ominus__class_Ominus(c_Int_OBit1(c_Int_Opred(A)),c_HOL_Oplus__class_Oplus(B,B,tc_Int_Oint),tc_Int_Oint)=c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(A,A,tc_Int_Oint),c_Int_OBit1(B),tc_Int_Oint).
% 0.46/0.63
% 0.46/0.63 ======= end of input processing =======
% 0.69/0.87
% 0.69/0.87
% 0.69/0.87
% 0.69/0.87 Aborting on detection of an error:
% 0.69/0.87
% 0.69/0.87 Too many clauses (whew!).
% 0.69/0.87
%------------------------------------------------------------------------------