%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : SWV676-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n023.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Wed Jul 20 21:39:52 EDT 2022
% Result : Unknown 0.90s 1.12s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV676-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.13 % Command : sos-script %s
% 0.13/0.35 % Computer : n023.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Wed Jun 15 00:42:35 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.49 ----- Otter 3.2, August 2001 -----
% 0.20/0.49 The process was started by sandbox2 on n023.cluster.edu,
% 0.20/0.49 Wed Jun 15 00:42:35 2022
% 0.20/0.49 The command was "./sos". The process ID is 3583.
% 0.20/0.49
% 0.20/0.49 set(prolog_style_variables).
% 0.20/0.49 set(auto).
% 0.20/0.49 dependent: set(auto1).
% 0.20/0.49 dependent: set(process_input).
% 0.20/0.49 dependent: clear(print_kept).
% 0.20/0.49 dependent: clear(print_new_demod).
% 0.20/0.49 dependent: clear(print_back_demod).
% 0.20/0.49 dependent: clear(print_back_sub).
% 0.20/0.49 dependent: set(control_memory).
% 0.20/0.49 dependent: assign(max_mem, 12000).
% 0.20/0.49 dependent: assign(pick_given_ratio, 4).
% 0.20/0.49 dependent: assign(stats_level, 1).
% 0.20/0.49 dependent: assign(pick_semantic_ratio, 3).
% 0.20/0.49 dependent: assign(sos_limit, 5000).
% 0.20/0.49 dependent: assign(max_weight, 60).
% 0.20/0.49 clear(print_given).
% 0.20/0.49
% 0.20/0.49 list(usable).
% 0.20/0.49
% 0.20/0.49 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=6.
% 0.20/0.49
% 0.20/0.49 This ia a non-Horn set with equality. The strategy will be
% 0.20/0.49 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.20/0.49 unit deletion, with positive clauses in sos and nonpositive
% 0.20/0.49 clauses in usable.
% 0.20/0.49
% 0.20/0.49 dependent: set(knuth_bendix).
% 0.20/0.49 dependent: set(para_from).
% 0.20/0.49 dependent: set(para_into).
% 0.20/0.49 dependent: clear(para_from_right).
% 0.20/0.49 dependent: clear(para_into_right).
% 0.20/0.49 dependent: set(para_from_vars).
% 0.20/0.49 dependent: set(eq_units_both_ways).
% 0.20/0.49 dependent: set(dynamic_demod_all).
% 0.20/0.49 dependent: set(dynamic_demod).
% 0.20/0.49 dependent: set(order_eq).
% 0.20/0.49 dependent: set(back_demod).
% 0.20/0.49 dependent: set(lrpo).
% 0.20/0.49 dependent: set(hyper_res).
% 0.20/0.49 dependent: set(unit_deletion).
% 0.20/0.49 dependent: set(factor).
% 0.20/0.49
% 0.20/0.49 ------------> process usable:
% 0.20/0.49 Following clause subsumed by 2 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).
% 0.20/0.49 Following clause subsumed by 3 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).
% 0.20/0.49 Following clause subsumed by 23 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.
% 0.20/0.49 Following clause subsumed by 30 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).
% 0.20/0.49 Following clause subsumed by 1 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,C,A)| -c_Ring__and__Field_Odvd__class_Odvd(B,D,A).
% 0.20/0.49 Following clause subsumed by 33 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,D,A)| -c_Ring__and__Field_Odvd__class_Odvd(B,c_Divides_Odiv__class_Omod(C,D,A),A).
% 0.20/0.49 Following clause subsumed by 38 during input processing: 0 [] {-} c_GCD_Ogcd__class_Ogcd(A,B,tc_nat)!=c_HOL_Oone__class_Oone(tc_nat)|C=c_HOL_Oone__class_Oone(tc_nat)| -c_Ring__and__Field_Odvd__class_Odvd(C,B,tc_nat)| -c_Ring__and__Field_Odvd__class_Odvd(C,A,tc_nat).
% 0.20/0.49 Following clause subsumed by 41 during input processing: 0 [flip.1] {-} c_HOL_Oplus__class_Oplus(A,B,tc_nat)!=A|B=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.20/0.49 Following clause subsumed by 62 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)|C=c_HOL_Ozero__class_Ozero(A)|B=c_HOL_Ozero__class_Ozero(A).
% 0.20/0.49 Following clause subsumed by 86 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).
% 0.20/0.49 Following clause subsumed by 87 during input processing: 0 [flip.3] {-} -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.
% 0.20/0.49 Following clause subsumed by 90 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).
% 0.20/0.49 Following clause subsumed by 90 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).
% 0.20/0.49 Following clause subsumed by 90 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).
% 0.20/0.49 Following clause subsumed by 90 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).
% 0.20/0.49 Following clause subsumed by 90 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).
% 0.20/0.49 Following clause subsumed by 90 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).
% 0.20/0.49 Following clause subsumed by 89 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).
% 0.20/0.49 Following clause subsumed by 89 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).
% 0.20/0.49 Following clause subsumed by 89 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|B=C|c_HOL_Oord__class_Oless(C,B,A)|c_HOL_Oord__class_Oless(B,C,A).
% 0.20/0.49 Following clause subsumed by 93 during input processing: 0 [] {-} c_Ring__and__Field_Odvd__class_Odvd(A,B,tc_nat)| -c_Ring__and__Field_Odvd__class_Odvd(A,c_GCD_Ogcd__class_Ogcd(B,C,tc_nat),tc_nat).
% 0.20/0.49 Following clause subsumed by 92 during input processing: 0 [] {-} c_Ring__and__Field_Odvd__class_Odvd(A,B,tc_nat)| -c_Ring__and__Field_Odvd__class_Odvd(A,c_GCD_Ogcd__class_Ogcd(C,B,tc_nat),tc_nat).
% 0.20/0.49 Following clause subsumed by 93 during input processing: 0 [] {-} c_Ring__and__Field_Odvd__class_Odvd(A,B,tc_nat)| -c_Ring__and__Field_Odvd__class_Odvd(A,c_GCD_Ogcd__class_Ogcd(B,C,tc_nat),tc_nat).
% 0.20/0.49 Following clause subsumed by 92 during input processing: 0 [] {-} c_Ring__and__Field_Odvd__class_Odvd(A,B,tc_nat)| -c_Ring__and__Field_Odvd__class_Odvd(A,c_GCD_Ogcd__class_Ogcd(C,B,tc_nat),tc_nat).
% 0.20/0.49 Following clause subsumed by 96 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(C,A,tc_nat)| -c_Ring__and__Field_Odvd__class_Odvd(A,C,tc_nat).
% 0.20/0.49 Following clause subsumed by 108 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).
% 0.20/0.49 Following clause subsumed by 118 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).
% 0.20/0.49 Following clause subsumed by 118 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).
% 0.20/0.49 Following clause subsumed by 126 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).
% 0.20/0.49 Following clause subsumed by 126 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).
% 0.20/0.49 Following clause subsumed by 145 during input processing: 0 [] {-} c_lessequals(A,B,tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),C,tc_nat)| -c_lessequals(c_HOL_Otimes__class_Otimes(C,A,tc_nat),c_HOL_Otimes__class_Otimes(C,B,tc_nat),tc_nat).
% 0.20/0.49 Following clause subsumed by 103 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).
% 0.20/0.49 Following clause subsumed by 165 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).
% 0.20/0.49 Following clause subsumed by 15 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).
% 0.20/0.49 Following clause subsumed by 183 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).
% 0.20/0.49 Following clause subsumed by 201 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(B,c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),C,A).
% 0.20/0.49 Following clause subsumed by 128 during input processing: 0 [] {-} -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).
% 0.20/0.49 Following clause subsumed by 130 during input processing: 0 [] {-} -class_Divides_Osemiring__div(A)|c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(B,C,A),D,A),C,A)=c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(B,D,A),C,A).
% 0.20/0.49 Following clause subsumed by 245 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).
% 0.20/0.49 Following clause subsumed by 255 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).
% 0.20/0.49 Following clause subsumed by 255 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).
% 0.20/0.49 Following clause subsumed by 258 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).
% 0.20/0.49 Following clause subsumed by 259 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).
% 0.20/0.49 Following clause subsumed by 3 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(A,B,tc_nat),tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),B,tc_nat).
% 0.20/0.49 Following clause subsumed by 2 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(A,B,tc_nat),tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),A,tc_nat).
% 0.20/0.49 Following clause subsumed by 186 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).
% 0.20/0.49 Following clause subsumed by 267 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).
% 0.20/0.49 Following clause subsumed by 186 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).
% 0.20/0.49 Following clause subsumed by 103 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).
% 0.20/0.49 Following clause subsumed by 271 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).
% 0.20/0.49 Following clause subsumed by 271 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).
% 0.20/0.49 Following clause subsumed by 272 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).
% 0.20/0.49 Following clause subsumed by 278 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).
% 0.20/0.49 Following clause subsumed by 284 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.
% 0.20/0.49 Following clause subsumed by 92 during input processing: 0 [] {-} -c_Ring__and__Field_Odvd__class_Odvd(A,c_GCD_Ogcd__class_Ogcd(B,C,tc_nat),tc_nat)|c_Ring__and__Field_Odvd__class_Odvd(A,C,tc_nat)| -c_Ring__and__Field_Odvd__class_Odvd(C,A,tc_nat).
% 0.20/0.49 Following clause subsumed by 93 during input processing: 0 [] {-} -c_Ring__and__Field_Odvd__class_Odvd(A,c_GCD_Ogcd__class_Ogcd(B,C,tc_nat),tc_nat)|c_Ring__and__Field_Odvd__class_Odvd(A,B,tc_nat)| -c_Ring__and__Field_Odvd__class_Odvd(B,A,tc_nat).
% 0.20/0.49 Following clause subsumed by 287 during input processing: 0 [] {-} c_Ring__and__Field_Odvd__class_Odvd(A,c_GCD_Ogcd__class_Ogcd(B,C,tc_nat),tc_nat)| -c_Ring__and__Field_Odvd__class_Odvd(A,C,tc_nat)| -c_Ring__and__Field_Odvd__class_Odvd(A,B,tc_nat).
% 0.20/0.49 Following clause subsumed by 287 during input processing: 0 [] {-} c_Ring__and__Field_Odvd__class_Odvd(A,c_GCD_Ogcd__class_Ogcd(B,C,tc_nat),tc_nat)| -c_Ring__and__Field_Odvd__class_Odvd(A,C,tc_nat)| -c_Ring__and__Field_Odvd__class_Odvd(A,B,tc_nat).
% 0.20/0.49 Following clause subsumed by 287 during input processing: 0 [] {-} c_Ring__and__Field_Odvd__class_Odvd(A,c_GCD_Ogcd__class_Ogcd(B,C,tc_nat),tc_nat)| -c_Ring__and__Field_Odvd__class_Odvd(A,C,tc_nat)| -c_Ring__and__Field_Odvd__class_Odvd(A,B,tc_nat).
% 0.20/0.49 Following clause subsumed by 287 during input processing: 0 [] {-} c_Ring__and__Field_Odvd__class_Odvd(A,c_GCD_Ogcd__class_Ogcd(B,C,tc_nat),tc_nat)| -c_Ring__and__Field_Odvd__class_Odvd(A,C,tc_nat)| -c_Ring__and__Field_Odvd__class_Odvd(A,B,tc_nat).
% 0.20/0.49 Following clause subsumed by 287 during input processing: 0 [] {-} c_Ring__and__Field_Odvd__class_Odvd(A,c_GCD_Ogcd__class_Ogcd(B,C,tc_nat),tc_nat)| -c_Ring__and__Field_Odvd__class_Odvd(A,C,tc_nat)| -c_Ring__and__Field_Odvd__class_Odvd(A,B,tc_nat).
% 0.20/0.49 Following clause subsumed by 96 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).
% 0.20/0.49 Following clause subsumed by 96 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).
% 0.20/0.49 Following clause subsumed by 300 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_lessequals(B,C,A)|C=B.
% 0.20/0.49 Following clause subsumed by 301 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|B=C| -c_lessequals(B,C,A)|c_HOL_Oord__class_Oless(B,C,A).
% 0.20/0.49 Following clause subsumed by 302 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)|B=C| -c_lessequals(B,C,A).
% 0.20/0.49 Following clause subsumed by 302 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C|c_HOL_Oord__class_Oless(B,C,A)| -c_lessequals(B,C,A).
% 0.20/0.49 Following clause subsumed by 302 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)|B=C| -c_lessequals(B,C,A).
% 0.20/0.49 Following clause subsumed by 310 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,B,A)|c_lessequals(B,B,A).
% 0.20/0.49 Following clause subsumed by 310 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_lessequals(B,C,A)|c_HOL_Oord__class_Oless(C,B,A).
% 0.20/0.50 Following clause subsumed by 310 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,C,A)|c_lessequals(C,B,A).
% 0.20/0.50 Following clause subsumed by 312 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -c_lessequals(B,C,A)| -c_HOL_Oord__class_Oless(C,B,A).
% 0.20/0.50 Following clause subsumed by 257 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).
% 0.20/0.50 Following clause subsumed by 355 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).
% 0.20/0.50 Following clause subsumed by 354 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).
% 0.20/0.50 Following clause subsumed by 372 during input processing: 0 [] {-} c_HOL_Oplus__class_Oplus(A,B,tc_nat)!=c_HOL_Oplus__class_Oplus(A,C,tc_nat)|B=C.
% 0.20/0.50 Following clause subsumed by 380 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).
% 0.20/0.50 Following clause subsumed by 381 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).
% 0.20/0.50 Following clause subsumed by 381 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).
% 0.20/0.50 Following clause subsumed by 74 during input processing: 0 [] {-} -class_Ring__and__Field_Ozero__neq__one(A)|c_HOL_Ozero__class_Ozero(A)!=c_HOL_Oone__class_Oone(A).
% 0.20/0.50 Following clause subsumed by 96 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).
% 0.20/0.50 Following clause subsumed by 401 during input processing: 0 [] {-} -c_HOL_Oord__class_Oless(A,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat).
% 0.20/0.50 Following clause subsumed by 190 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).
% 0.20/0.50 Following clause subsumed by 428 during input processing: 0 [] {-} -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ominus__class_Ominus(B,B,A)=c_HOL_Ozero__class_Ozero(A).
% 0.20/0.50 Following clause subsumed by 435 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).
% 0.20/0.50 Following clause subsumed by 436 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).
% 0.20/0.50 Following clause subsumed by 456 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_Ozero__class_Ozero(A),c_HOL_Ozero__class_Ozero(A),A)=c_HOL_Ozero__class_Ozero(A).
% 0.20/0.50 Following clause subsumed by 456 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).
% 0.20/0.50 Following clause subsumed by 456 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).
% 0.20/0.50 Following clause subsumed by 473 during input processing: 0 [] {-} c_Suc(A)!=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.20/0.50 Following clause subsumed by 474 during input processing: 0 [] {-} A=B| -c_HOL_Oord__class_Oless(A,c_Suc(B),tc_nat)|c_HOL_Oord__class_Oless(A,B,tc_nat).
% 0.20/0.50 Following clause subsumed by 473 during input processing: 0 [flip.1] {-} c_Suc(A)!=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.20/0.50 Following clause subsumed by 473 during input processing: 0 [flip.1] {-} c_Suc(A)!=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.20/0.50 Following clause subsumed by 482 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).
% 0.20/0.50 Following clause subsumed by 492 during input processing: 0 [] {-} c_lessequals(A,B,tc_nat)| -c_HOL_Oord__class_Oless(A,B,tc_nat).
% 0.20/0.50 Following clause subsumed by 13 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).
% 0.20/0.50 Following clause subsumed by 508 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).
% 0.20/0.50 Following clause subsumed by 514 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).
% 0.20/0.50 Following clause subsumed by 537 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.
% 0.20/0.50 Following clause subsumed by 538 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.
% 0.20/0.50 Following clause subsumed by 545 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).
% 0.20/0.50 Following clause subsumed by 549 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).
% 0.20/0.50 Following clause subsumed by 550 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).
% 0.20/0.50 Following clause subsumed by 547 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).
% 0.20/0.50 Following clause subsumed by 563 during input processing: 0 [] {-} -c_HOL_Oord__class_Oless(A,A,tc_nat).
% 0.20/0.50 Following clause subsumed by 573 during input processing: 0 [] {-} c_Suc(c_HOL_Ominus__class_Ominus(A,c_HOL_Oone__class_Oone(tc_nat),tc_nat))=A| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),A,tc_nat).
% 0.20/0.50 Following clause subsumed by 574 during input processing: 0 [] {-} A=B|c_HOL_Oord__class_Oless(A,B,tc_nat)| -c_lessequals(A,B,tc_nat).
% 0.20/0.50 Following clause subsumed by 574 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(A,B,tc_nat)|A=B| -c_lessequals(A,B,tc_nat).
% 0.20/0.50 Following clause subsumed by 576 during input processing: 0 [] {-} c_lessequals(c_HOL_Otimes__class_Otimes(A,B,tc_nat),c_HOL_Otimes__class_Otimes(A,C,tc_nat),tc_nat)| -c_lessequals(B,C,tc_nat).
% 0.20/0.50 Following clause subsumed by 575 during input processing: 0 [] {-} c_lessequals(c_HOL_Otimes__class_Otimes(A,B,tc_nat),c_HOL_Otimes__class_Otimes(C,B,tc_nat),tc_nat)| -c_lessequals(A,C,tc_nat).
% 0.20/0.50 Following clause subsumed by 581 during input processing: 0 [] {-} c_lessequals(A,c_HOL_Oplus__class_Oplus(B,C,tc_nat),tc_nat)| -c_lessequals(A,B,tc_nat).
% 0.20/0.50 Following clause subsumed by 582 during input processing: 0 [] {-} c_lessequals(A,c_HOL_Oplus__class_Oplus(B,C,tc_nat),tc_nat)| -c_lessequals(A,C,tc_nat).
% 0.20/0.50 Following clause subsumed by 589 during input processing: 0 [flip.2] {-} -c_lessequals(A,B,tc_nat)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(A,C,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(B,A,tc_nat),C,tc_nat),D,tc_nat),tc_nat)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,C,tc_nat),D,tc_nat).
% 0.20/0.50 Following clause subsumed by 598 during input processing: 0 [] {-} -class_Ring__and__Field_Odivision__ring(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oinverse__class_Oinverse(B,A)!=c_HOL_Ozero__class_Ozero(A)|B=c_HOL_Ozero__class_Ozero(A).
% 0.20/0.50 Following clause subsumed by 603 during input processing: 0 [] {-} -class_Ring__and__Field_Odivision__ring(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(A),A)=c_HOL_Ozero__class_Ozero(A).
% 0.20/0.50 Following clause subsumed by 610 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__semidom(A)|c_lessequals(B,C,tc_nat)| -c_lessequals(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).
% 0.20/0.50 Following clause subsumed by 646 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).
% 0.20/0.50 Following clause subsumed by 646 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).
% 0.20/0.50 Following clause subsumed by 664 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).
% 0.20/0.50 Following clause subsumed by 497 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).
% 0.20/0.50 Following clause subsumed by 563 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).
% 0.20/0.50 Following clause subsumed by 679 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).
% 0.20/0.50 Following clause subsumed by 680 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).
% 0.20/0.50 Following clause subsumed by 695 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).
% 0.20/0.50 Following clause subsumed by 694 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).
% 0.20/0.50 Following clause subsumed by 724 during input processing: 0 [] {-} c_GCD_Ogcd__class_Ogcd(A,B,tc_nat)!=c_HOL_Ozero__class_Ozero(tc_nat)|A=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.20/0.50 Following clause subsumed by 723 during input processing: 0 [] {-} c_GCD_Ogcd__class_Ogcd(A,B,tc_nat)!=c_HOL_Ozero__class_Ozero(tc_nat)|B=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.20/0.50 Following clause subsumed by 94 during input processing: 0 [] {-} c_Ring__and__Field_Odvd__class_Odvd(c_GCD_Ogcd__class_Ogcd(A,B,tc_nat),C,tc_nat)|c_Ring__and__Field_Odvd__class_Odvd(C,A,tc_nat)| -c_Ring__and__Field_Odvd__class_Odvd(A,C,tc_nat).
% 0.20/0.50 Following clause subsumed by 95 during input processing: 0 [] {-} c_Ring__and__Field_Odvd__class_Odvd(c_GCD_Ogcd__class_Ogcd(A,B,tc_nat),C,tc_nat)|c_Ring__and__Field_Odvd__class_Odvd(C,B,tc_nat)| -c_Ring__and__Field_Odvd__class_Odvd(B,C,tc_nat).
% 0.20/0.50 Following clause subsumed by 530 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).
% 0.20/0.50 Following clause subsumed by 96 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).
% 0.20/0.50 Following clause subsumed by 96 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).
% 0.20/0.50 Following clause subsumed by 727 during input processing: 0 [] {-} -class_Orderings_Opreorder(A)| -c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(C,B,A).
% 0.20/0.50 Following clause subsumed by 736 during input processing: 0 [] {-} c_lessequals(c_Suc(A),B,tc_nat)| -c_HOL_Oord__class_Oless(A,B,tc_nat).
% 0.20/0.50 Following clause subsumed by 737 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(A,B,tc_nat)| -c_lessequals(c_Suc(A),B,tc_nat).
% 0.20/0.50 Following clause subsumed by 576 during input processing: 0 [] {-} c_lessequals(c_HOL_Otimes__class_Otimes(c_Suc(A),B,tc_nat),c_HOL_Otimes__class_Otimes(c_Suc(A),C,tc_nat),tc_nat)| -c_lessequals(B,C,tc_nat).
% 0.20/0.53 Following clause subsumed by 744 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).
% 0.20/0.53 Following clause subsumed by 750 during input processing: 0 [] {-} c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(A,B,tc_nat),B,tc_nat)=A| -c_lessequals(B,A,tc_nat).
% 0.20/0.53 Following clause subsumed by 747 during input processing: 0 [flip.1] {-} c_HOL_Oplus__class_Oplus(A,c_HOL_Ominus__class_Ominus(B,C,tc_nat),tc_nat)=c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(A,B,tc_nat),C,tc_nat)| -c_lessequals(C,B,tc_nat).
% 0.20/0.53 Following clause subsumed by 748 during input processing: 0 [flip.1] {-} c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(A,C,tc_nat),B,tc_nat)=c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(A,B,tc_nat),C,tc_nat)| -c_lessequals(C,A,tc_nat).
% 0.20/0.53 Following clause subsumed by 787 during input processing: 0 [] {-} c_Suc(A)!=c_Suc(B)|A=B.
% 0.20/0.53 Following clause subsumed by 794 during input processing: 0 [flip.1] {-} c_Suc(A)!=A.
% 0.20/0.53 Following clause subsumed by 796 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C| -c_lessequals(C,B,A)| -c_lessequals(B,C,A).
% 0.20/0.53 Following clause subsumed by 796 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C| -c_lessequals(C,B,A)| -c_lessequals(B,C,A).
% 0.20/0.53 48 back subsumes 45.
% 0.20/0.53 49 back subsumes 47.
% 0.20/0.53 87 back subsumes 86.
% 0.20/0.53 189 back subsumes 39.
% 0.20/0.53 225 back subsumes 222.
% 0.20/0.53 226 back subsumes 224.
% 0.20/0.53 255 back subsumes 82.
% 0.20/0.53 256 back subsumes 83.
% 0.20/0.53 312 back subsumes 311.
% 0.20/0.53 570 back subsumes 569.
% 0.20/0.53 576 back subsumes 144.
% 0.20/0.53 733 back subsumes 731.
% 0.20/0.53 743 back subsumes 741.
% 0.20/0.53 744 back subsumes 489.
% 0.20/0.53 766 back subsumes 746.
% 0.20/0.53 808 back subsumes 807.
% 0.20/0.53 897 back subsumes 849.
% 0.20/0.53 931 back subsumes 930.
% 0.20/0.53
% 0.20/0.53 ------------> process sos:
% 0.20/0.53 Following clause subsumed by 1044 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(A,c_Suc(c_HOL_Oplus__class_Oplus(A,B,tc_nat)),tc_nat).
% 0.20/0.53 Following clause subsumed by 1056 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).
% 0.20/0.53 Following clause subsumed by 1071 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(A,B,tc_nat)|c_HOL_Oord__class_Oless(B,A,tc_nat)|B=A.
% 0.20/0.53 Following clause subsumed by 1086 during input processing: 0 [demod,1053] {-} 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).
% 0.20/0.53 Following clause subsumed by 1072 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).
% 0.20/0.53 Following clause subsumed by 1058 during input processing: 0 [demod,1049] {-} c_HOL_Oone__class_Oone(tc_nat)=c_HOL_Oone__class_Oone(tc_nat).
% 0.20/0.53 Following clause subsumed by 1058 during input processing: 0 [demod,1104] {-} c_HOL_Oone__class_Oone(tc_nat)=c_HOL_Oone__class_Oone(tc_nat).
% 0.20/0.53 Following clause subsumed by 1123 during input processing: 0 [] {-} c_Ring__and__Field_Odvd__class_Odvd(c_GCD_Ogcd__class_Ogcd(A,B,tc_nat),A,tc_nat).
% 0.20/0.53 Following clause subsumed by 1122 during input processing: 0 [] {-} c_Ring__and__Field_Odvd__class_Odvd(c_GCD_Ogcd__class_Ogcd(A,B,tc_nat),B,tc_nat).
% 0.20/0.53 Following clause subsumed by 1123 during input processing: 0 [] {-} c_Ring__and__Field_Odvd__class_Odvd(c_GCD_Ogcd__class_Ogcd(A,B,tc_nat),A,tc_nat).
% 0.20/0.53 Following clause subsumed by 1122 during input processing: 0 [] {-} c_Ring__and__Field_Odvd__class_Odvd(c_GCD_Ogcd__class_Ogcd(A,B,tc_nat),B,tc_nat).
% 0.20/0.53 Following clause subsumed by 1119 during input processing: 0 [demod,1053,1117,1053,1117,1121] {-} c_HOL_Oone__class_Oone(tc_nat)=c_HOL_Oone__class_Oone(tc_nat).
% 0.20/0.53 Following clause subsumed by 1119 during input processing: 0 [demod,1053,1088,1106] {-} c_HOL_Oone__class_Oone(tc_nat)=c_HOL_Oone__class_Oone(tc_nat).
% 0.20/0.54 Following clause subsumed by 1081 during input processing: 0 [demod,1053,1053] {-} 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).
% 0.20/0.54 Following clause subsumed by 1119 during input processing: 0 [demod,1053,1080,1053] {-} 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).
% 0.20/0.54 Following clause subsumed by 1081 during input processing: 0 [demod,1053,1080,1053] {-} 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(A,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),B,tc_nat),tc_nat).
% 0.20/0.54 Following clause subsumed by 1143 during input processing: 0 [demod,1053] {-} c_HOL_Oord__class_Oless(A,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),A,tc_nat),tc_nat).
% 0.20/0.54 Following clause subsumed by 1143 during input processing: 0 [demod,1053] {-} c_HOL_Oord__class_Oless(A,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),A,tc_nat),tc_nat).
% 0.20/0.54 Following clause subsumed by 1147 during input processing: 0 [] {-} c_lessequals(A,c_HOL_Oplus__class_Oplus(A,B,tc_nat),tc_nat).
% 0.20/0.54 Following clause subsumed by 1147 during input processing: 0 [] {-} c_lessequals(A,c_HOL_Oplus__class_Oplus(A,B,tc_nat),tc_nat).
% 0.20/0.54 Following clause subsumed by 1119 during input processing: 0 [demod,1053,1117] {-} c_HOL_Oone__class_Oone(tc_nat)=c_HOL_Oone__class_Oone(tc_nat).
% 0.20/0.54 Following clause subsumed by 1119 during input processing: 0 [demod,1163] {-} c_GCD_Ogcd__class_Ogcd(A,c_GCD_Ogcd__class_Ogcd(B,C,tc_nat),tc_nat)=c_GCD_Ogcd__class_Ogcd(A,c_GCD_Ogcd__class_Ogcd(B,C,tc_nat),tc_nat).
% 0.20/0.54 Following clause subsumed by 1119 during input processing: 0 [demod,1053,1117,1053,1117,1049,1053,1117] {-} c_HOL_Oone__class_Oone(tc_nat)=c_HOL_Oone__class_Oone(tc_nat).
% 0.20/0.54 Following clause subsumed by 1119 during input processing: 0 [demod,1053,1117,1053,1117,1117] {-} c_HOL_Oone__class_Oone(tc_nat)=c_HOL_Oone__class_Oone(tc_nat).
% 0.20/0.54 Following clause subsumed by 1119 during input processing: 0 [demod,1152] {-} c_HOL_Ozero__class_Ozero(tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.20/0.54 Following clause subsumed by 1119 during input processing: 0 [demod,1053,1117,1121,1053,1117] {-} c_HOL_Oone__class_Oone(tc_nat)=c_HOL_Oone__class_Oone(tc_nat).
% 0.20/0.54 Following clause subsumed by 1196 during input processing: 0 [] {-} c_GCD_Ogcd__class_Ogcd(A,B,tc_nat)=c_GCD_Ogcd__class_Ogcd(B,A,tc_nat).
% 0.20/0.54 Following clause subsumed by 1059 during input processing: 0 [] {-} c_GCD_Ogcd__class_Ogcd(A,B,tc_nat)=c_GCD_Ogcd__class_Ogcd(B,c_Divides_Odiv__class_Omod(A,B,tc_nat),tc_nat)|B=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.20/0.54 Following clause subsumed by 1119 during input processing: 0 [demod,1053,1191] {-} A=A.
% 0.20/0.54 Following clause subsumed by 1207 during input processing: 0 [] {-} c_lessequals(A,A,tc_nat).
% 0.20/0.54 Following clause subsumed by 1119 during input processing: 0 [demod,1053,1053,1177] {-} c_HOL_Ominus__class_Ominus(A,B,tc_nat)=c_HOL_Ominus__class_Ominus(A,B,tc_nat).
% 0.20/0.54 Following clause subsumed by 1207 during input processing: 0 [demod,1053,1053] {-} c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),A,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),A,tc_nat),tc_nat).
% 0.20/0.54 Following clause subsumed by 1119 during input processing: 0 [] {-} A=A.
% 0.20/0.54 Following clause subsumed by 1153 during input processing: 0 [copy,1055,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).
% 0.20/0.54 Following clause subsumed by 1153 during input processing: 0 [copy,1056,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).
% 0.20/0.54 Following clause subsumed by 1119 during input processing: 0 [copy,1058,flip.1] {-} c_HOL_Oone__class_Oone(tc_nat)=c_HOL_Oone__class_Oone(tc_nat).
% 0.20/0.54 1072 back subsumes 1070.
% 0.20/0.54 Following clause subsumed by 1078 during input processing: 0 [copy,1078,flip.1] {-} c_HOL_Otimes__class_Otimes(A,B,tc_nat)=c_HOL_Otimes__class_Otimes(B,A,tc_nat).
% 0.20/0.54 Following clause subsumed by 1081 during input processing: 0 [copy,1081,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).
% 0.20/0.54 1098 back subsumes 17.
% 0.20/0.54 1098 back subsumes 16.
% 0.20/0.54 Following clause subsumed by 1119 during input processing: 0 [copy,1099,flip.1,demod,1166,1166] {-} c_HOL_Ozero__class_Ozero(tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.20/0.54 Following clause subsumed by 1119 during input processing: 0 [copy,1100,flip.1,demod,1168,1168] {-} c_HOL_Ozero__class_Ozero(tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.20/0.54 Following clause subsumed by 1119 during input processing: 0 [copy,1119,flip.1] {-} A=A.
% 0.20/0.54 1119 back subsumes 1058.
% 0.20/0.54 1119 back subsumes 1037.
% 0.20/0.54 1119 back subsumes 1035.
% 0.20/0.54 1119 back subsumes 1034.
% 0.20/0.54 1119 back subsumes 994.
% 0.20/0.54 1119 back subsumes 993.
% 0.20/0.54 1119 back subsumes 992.
% 0.20/0.54 1119 back subsumes 990.
% 0.20/0.54 1119 back subsumes 905.
% 0.20/0.54 1119 back subsumes 873.
% 0.20/0.54 1119 back subsumes 864.
% 0.20/0.54 1119 back subsumes 863.
% 0.20/0.54 1119 back subsumes 862.
% 0.20/0.54 Following clause subsumed by 1153 during input processing: 0 [copy,1153,flip.1] {-} c_HOL_Oplus__class_Oplus(A,B,tc_nat)=c_HOL_Oplus__class_Oplus(B,A,tc_nat).
% 0.20/0.54 1153 back subsumes 1056.
% 0.20/0.54 1153 back subsumes 1055.
% 0.20/0.54 Following clause subsumed by 1161 during input processing: 0 [copy,1161,flip.1] {-} c_GCD_Ogcd__class_Ogcd(A,c_GCD_Ogcd__class_Ogcd(B,C,tc_nat),tc_nat)=c_GCD_Ogcd__class_Ogcd(B,c_GCD_Ogcd__class_Ogcd(A,C,tc_nat),tc_nat).
% 0.20/0.54 1173 back subsumes 1146.
% 0.20/0.54 Following clause subsumed by 1196 during input processing: 0 [copy,1196,flip.1] {-} c_GCD_Ogcd__class_Ogcd(A,B,tc_nat)=c_GCD_Ogcd__class_Ogcd(B,A,tc_nat).
% 0.20/0.54 Following clause subsumed by 1183 during input processing: 0 [copy,1205,flip.1] {-} c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,c_HOL_Oone__class_Oone(tc_nat),tc_nat),B,tc_nat)=c_HOL_Ominus__class_Ominus(A,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),B,tc_nat),tc_nat).
% 0.20/0.54 1206 back subsumes 1036.
% 0.20/0.54 Following clause subsumed by 1212 during input processing: 0 [copy,1212,flip.1] {-} c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,B,tc_nat),C,tc_nat)=c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,C,tc_nat),B,tc_nat).
% 0.20/0.54 Following clause subsumed by 1059 during input processing: 0 [copy,1317,flip.1] {-} c_GCD_Ogcd__class_Ogcd(A,B,tc_nat)=c_GCD_Ogcd__class_Ogcd(B,c_Divides_Odiv__class_Omod(A,B,tc_nat),tc_nat).
% 0.20/0.54 Following clause subsumed by 1084 during input processing: 0 [copy,1318,flip.1] {-} c_HOL_Ominus__class_Ominus(A,c_HOL_Oplus__class_Oplus(A,B,tc_nat),tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.20/0.54 Following clause subsumed by 1170 during input processing: 0 [copy,1325,flip.1] {-} c_Divides_Odiv__class_Omod(A,c_HOL_Oone__class_Oone(tc_nat),tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.20/0.54 Following clause subsumed by 1180 during input processing: 0 [copy,1326,flip.1] {-} c_HOL_Ominus__class_Ominus(A,A,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.20/0.54 Following clause subsumed by 1183 during input processing: 0 [copy,1327,flip.1] {-} c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,B,tc_nat),C,tc_nat)=c_HOL_Ominus__class_Ominus(A,c_HOL_Oplus__class_Oplus(B,C,tc_nat),tc_nat).
% 0.20/0.54 1327 back subsumes 1205.
% 0.20/0.54 Following clause subsumed by 1195 during input processing: 0 [copy,1342,flip.1] {-} c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(A,B,tc_nat),A,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.20/0.54 Following clause subsumed by 1302 during input processing: 0 [copy,1343,flip.1] {-} c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),A,tc_nat)!=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.20/0.54
% 0.20/0.54 ======= end of input processing =======
% 0.90/1.12
% 0.90/1.12 Stopped by limit on insertions
% 0.90/1.12
% 0.90/1.12
% 0.90/1.12
% 0.90/1.12 Aborting on detection of an error:
% 0.90/1.12
% 0.90/1.12 Too many clauses (whew!).
% 0.90/1.12
%------------------------------------------------------------------------------