TSTP Solution File: SWW284+1 by SOS---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : SWW284+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n026.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 21 01:26:29 EDT 2022
% Result : Unknown 0.42s 0.60s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.13 % Problem : SWW284+1 : TPTP v8.1.0. Released v5.2.0.
% 0.09/0.14 % Command : sos-script %s
% 0.14/0.36 % Computer : n026.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Sat Jun 4 12:32:14 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.21/0.53 ----- Otter 3.2, August 2001 -----
% 0.21/0.53 The process was started by sandbox2 on n026.cluster.edu,
% 0.21/0.53 Sat Jun 4 12:32:14 2022
% 0.21/0.53 The command was "./sos". The process ID is 23579.
% 0.21/0.53
% 0.21/0.53 set(prolog_style_variables).
% 0.21/0.53 set(auto).
% 0.21/0.53 dependent: set(auto1).
% 0.21/0.53 dependent: set(process_input).
% 0.21/0.53 dependent: clear(print_kept).
% 0.21/0.53 dependent: clear(print_new_demod).
% 0.21/0.53 dependent: clear(print_back_demod).
% 0.21/0.53 dependent: clear(print_back_sub).
% 0.21/0.53 dependent: set(control_memory).
% 0.21/0.53 dependent: assign(max_mem, 12000).
% 0.21/0.53 dependent: assign(pick_given_ratio, 4).
% 0.21/0.53 dependent: assign(stats_level, 1).
% 0.21/0.53 dependent: assign(pick_semantic_ratio, 3).
% 0.21/0.53 dependent: assign(sos_limit, 5000).
% 0.21/0.53 dependent: assign(max_weight, 60).
% 0.21/0.53 clear(print_given).
% 0.21/0.53
% 0.21/0.53 formula_list(usable).
% 0.21/0.53
% 0.21/0.53 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=8.
% 0.21/0.53
% 0.21/0.53 This ia a non-Horn set with equality. The strategy will be
% 0.21/0.53 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.21/0.53 unit deletion, with positive clauses in sos and nonpositive
% 0.21/0.53 clauses in usable.
% 0.21/0.53
% 0.21/0.53 dependent: set(knuth_bendix).
% 0.21/0.53 dependent: set(para_from).
% 0.21/0.53 dependent: set(para_into).
% 0.21/0.53 dependent: clear(para_from_right).
% 0.21/0.53 dependent: clear(para_into_right).
% 0.21/0.53 dependent: set(para_from_vars).
% 0.21/0.53 dependent: set(eq_units_both_ways).
% 0.21/0.53 dependent: set(dynamic_demod_all).
% 0.21/0.53 dependent: set(dynamic_demod).
% 0.21/0.53 dependent: set(order_eq).
% 0.21/0.53 dependent: set(back_demod).
% 0.21/0.53 dependent: set(lrpo).
% 0.21/0.53 dependent: set(hyper_res).
% 0.21/0.53 dependent: set(unit_deletion).
% 0.21/0.53 dependent: set(factor).
% 0.21/0.53
% 0.21/0.53 ------------> process usable:
% 0.21/0.53 Following clause subsumed by 53 during input processing: 0 [] {-} -class_Groups_Ocancel__semigroup__add(A)|c_Groups_Oplus__class_Oplus(A,B,C)!=c_Groups_Oplus__class_Oplus(A,B,D)|C=D.
% 0.21/0.53 Following clause subsumed by 55 during input processing: 0 [] {-} -class_Groups_Ocancel__semigroup__add(A)|c_Groups_Oplus__class_Oplus(A,B,C)!=c_Groups_Oplus__class_Oplus(A,D,C)|B=D.
% 0.21/0.53 Following clause subsumed by 106 during input processing: 0 [] {-} c_Nat_OSuc(A)!=A.
% 0.21/0.53 Following clause subsumed by 110 during input processing: 0 [] {-} -class_Rings_Ocomm__semiring__1(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)),D)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),D)).
% 0.21/0.53 Following clause subsumed by 110 during input processing: 0 [] {-} -class_Rings_Ocomm__semiring__1(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),E))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),E))).
% 0.21/0.53 Following clause subsumed by 108 during input processing: 0 [] {-} -class_Rings_Ocomm__semiring__1(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),E))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)),E)).
% 0.21/0.53 Following clause subsumed by 111 during input processing: 0 [] {-} c_Nat_OSuc(A)!=c_Nat_OSuc(B)|A=B.
% 0.21/0.53 Following clause subsumed by 123 during input processing: 0 [flip.2] {-} -class_Rings_Ocomm__semiring__1(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),c_Groups_Oplus__class_Oplus(A,B,D)),C)=c_Groups_Oplus__class_Oplus(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),C)).
% 0.21/0.53 Following clause subsumed by 120 during input processing: 0 [] {-} -class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(A)|c_Groups_Oplus__class_Oplus(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),E))!=c_Groups_Oplus__class_Oplus(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),E),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),C))|B=D|C=E.
% 0.21/0.53 Following clause subsumed by 121 during input processing: 0 [] {-} -class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(A)|c_Groups_Oplus__class_Oplus(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),E))=c_Groups_Oplus__class_Oplus(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),E),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),C))|B!=D.
% 0.21/0.53 Following clause subsumed by 122 during input processing: 0 [] {-} -class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(A)|c_Groups_Oplus__class_Oplus(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),E))=c_Groups_Oplus__class_Oplus(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),E),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),C))|C!=E.
% 0.21/0.53 Following clause subsumed by 125 during input processing: 0 [flip.1] {-} c_Nat_OSuc(A)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.21/0.53 Following clause subsumed by 125 during input processing: 0 [] {-} c_Nat_OSuc(A)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.21/0.53 Following clause subsumed by 125 during input processing: 0 [] {-} c_Nat_OSuc(A)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.21/0.53 Following clause subsumed by 125 during input processing: 0 [flip.1] {-} c_Nat_OSuc(A)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.21/0.53 Following clause subsumed by 125 during input processing: 0 [] {-} c_Nat_OSuc(A)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.21/0.53 Following clause subsumed by 154 during input processing: 0 [] {-} -class_Rings_Ocomm__semiring__1(A)|c_Groups_Oplus__class_Oplus(A,c_Groups_Oplus__class_Oplus(A,B,C),D)=c_Groups_Oplus__class_Oplus(A,B,c_Groups_Oplus__class_Oplus(A,C,D)).
% 0.21/0.53 Following clause subsumed by 163 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),c_Groups_Oplus__class_Oplus(A,C,D))=c_Groups_Oplus__class_Oplus(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D)).
% 0.21/0.53 Following clause subsumed by 165 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),c_Groups_Oplus__class_Oplus(A,B,C)),D)=c_Groups_Oplus__class_Oplus(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),D)).
% 0.21/0.53 Following clause subsumed by 168 during input processing: 0 [] {-} -class_Rings_Ono__zero__divisors(A)|B=c_Groups_Ozero__class_Ozero(A)|C=c_Groups_Ozero__class_Ozero(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)!=c_Groups_Ozero__class_Ozero(A).
% 0.21/0.53 Following clause subsumed by 173 during input processing: 0 [] {-} hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(A)),B)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(A)),C)|B!=C.
% 0.21/0.53 Following clause subsumed by 183 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),c_Groups_Ozero__class_Ozero(A)),B)=c_Groups_Ozero__class_Ozero(A).
% 0.21/0.53 Following clause subsumed by 185 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),c_Groups_Ozero__class_Ozero(A))=c_Groups_Ozero__class_Ozero(A).
% 0.21/0.53 Following clause subsumed by 24 during input processing: 0 [] {-} -class_Groups_Ozero(A)|B!=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(A))|c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(A,B)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.21/0.53 Following clause subsumed by 172 during input processing: 0 [] {-} hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B)!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),C)|A=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|B=C.
% 0.21/0.53 Following clause subsumed by 174 during input processing: 0 [] {-} hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),C)|A!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.21/0.53 Following clause subsumed by 173 during input processing: 0 [] {-} hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),C)|B!=C.
% 0.21/0.54 Following clause subsumed by 200 during input processing: 0 [] {-} hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B)!=c_Groups_Oone__class_Oone(tc_Nat_Onat)|A=c_Groups_Oone__class_Oone(tc_Nat_Onat).
% 0.21/0.54 Following clause subsumed by 202 during input processing: 0 [] {-} hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B)!=c_Groups_Oone__class_Oone(tc_Nat_Onat)|B=c_Groups_Oone__class_Oone(tc_Nat_Onat).
% 0.21/0.54 Following clause subsumed by 204 during input processing: 0 [] {-} hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B)=c_Groups_Oone__class_Oone(tc_Nat_Onat)|A!=c_Groups_Oone__class_Oone(tc_Nat_Onat)|B!=c_Groups_Oone__class_Oone(tc_Nat_Onat).
% 0.21/0.54 Following clause subsumed by 208 during input processing: 0 [] {-} -class_Groups_Oab__group__add(A)|c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(A),c_Polynomial_OpCons(A,B,C))=c_Polynomial_OpCons(A,c_Groups_Ouminus__class_Ouminus(A,B),c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(A),C)).
% 0.21/0.54 Following clause subsumed by 217 during input processing: 0 [] {-} -class_Groups_Ogroup__add(A)|c_Groups_Ouminus__class_Ouminus(A,B)=C|c_Groups_Ouminus__class_Ouminus(A,C)!=B.
% 0.21/0.54 Following clause subsumed by 218 during input processing: 0 [] {-} -class_Groups_Ogroup__add(A)|B=c_Groups_Ouminus__class_Ouminus(A,C)|C!=c_Groups_Ouminus__class_Ouminus(A,B).
% 0.21/0.54 Following clause subsumed by 224 during input processing: 0 [flip.2] {-} -class_Groups_Olinordered__ab__group__add(A)|c_Groups_Ouminus__class_Ouminus(A,B)!=B|B=c_Groups_Ozero__class_Ozero(A).
% 0.21/0.54 Following clause subsumed by 225 during input processing: 0 [flip.2] {-} -class_Groups_Olinordered__ab__group__add(A)|c_Groups_Ouminus__class_Ouminus(A,B)=B|B!=c_Groups_Ozero__class_Ozero(A).
% 0.21/0.54 Following clause subsumed by 237 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),c_Groups_Ouminus__class_Ouminus(A,C))=c_Groups_Ouminus__class_Ouminus(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)).
% 0.21/0.54 Following clause subsumed by 238 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),c_Groups_Ouminus__class_Ouminus(A,B)),C)=c_Groups_Ouminus__class_Ouminus(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)).
% 0.21/0.54 Following clause subsumed by 248 during input processing: 0 [flip.2] {-} -class_Rings_Ozero__neq__one(A)|c_Groups_Ozero__class_Ozero(A)!=c_Groups_Oone__class_Oone(A).
% 0.21/0.54 Following clause subsumed by 281 during input processing: 0 [] {-} -class_Groups_Ozero(A)|hAPP(c_Polynomial_Ocoeff(A,B),c_Polynomial_Odegree(A,B))!=c_Groups_Ozero__class_Ozero(A)|B=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(A)).
% 0.21/0.54 Following clause subsumed by 195 during input processing: 0 [] {-} -class_Groups_Ozero(A)|B=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(A))|c_Polynomial_Odegree(A,c_Polynomial_OpCons(A,C,B))=c_Nat_OSuc(c_Polynomial_Odegree(A,B)).
% 0.21/0.54 Following clause subsumed by 310 during input processing: 0 [] {-} -class_Fields_Ofield(A)| -c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(A),B,C)| -c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(A),B,D)|c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(A),B,c_Polynomial_Opoly__gcd(A,C,D)).
% 0.21/0.54 Following clause subsumed by 346 during input processing: 0 [] {-} -class_Rings_Ocomm__semiring__1(A)|hAPP(hAPP(c_Power_Opower__class_Opower(A),B),c_Nat_OSuc(C))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C)).
% 0.21/0.54 Following clause subsumed by 348 during input processing: 0 [] {-} -class_Fields_Ofield(A)|B=c_Groups_Ozero__class_Ozero(A)| -c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(A),C,c_Polynomial_Osmult(A,B,D))|c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(A),C,D).
% 0.21/0.54 Following clause subsumed by 349 during input processing: 0 [] {-} -class_Fields_Ofield(A)|c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(A),c_Polynomial_Osmult(A,B,C),D)|B=c_Groups_Ozero__class_Ozero(A)| -c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(A),C,D).
% 0.21/0.54 Following clause subsumed by 356 during input processing: 0 [] {-} -class_Rings_Oidom(A)|B=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(A))|c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(A),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(A)),c_Polynomial_OpCons(A,c_Groups_Ouminus__class_Ouminus(A,C),c_Polynomial_OpCons(A,c_Groups_Oone__class_Oone(A),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(A))))),c_Polynomial_Oorder(A,C,B)),B).
% 0.21/0.54 Following clause subsumed by 361 during input processing: 0 [] {-} -class_Rings_Oidom(A)|B=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(A))| -c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(A),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(A)),c_Polynomial_OpCons(A,c_Groups_Ouminus__class_Ouminus(A,C),c_Polynomial_OpCons(A,c_Groups_Oone__class_Oone(A),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(A))))),c_Nat_OSuc(c_Polynomial_Oorder(A,C,B))),B).
% 0.21/0.54 Following clause subsumed by 379 during input processing: 0 [] {-} A=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|c_Rings_Odvd__class_Odvd(tc_Int_Oint,B,C)| -c_Rings_Odvd__class_Odvd(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),A),B),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),A),C)).
% 0.21/0.54 Following clause subsumed by 418 during input processing: 0 [] {-} -c_Rings_Odvd__class_Odvd(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),A),B),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),C),B))|B=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|c_Rings_Odvd__class_Odvd(tc_Int_Oint,A,C).
% 0.21/0.54 Following clause subsumed by 432 during input processing: 0 [] {-} -c_Rings_Odvd__class_Odvd(tc_Nat_Onat,A,B)| -c_Rings_Odvd__class_Odvd(tc_Nat_Onat,B,A)|A=B.
% 0.21/0.54 Following clause subsumed by 430 during input processing: 0 [] {-} c_Rings_Odvd__class_Odvd(tc_Nat_Onat,A,B)|A!=B.
% 0.21/0.54 Following clause subsumed by 431 during input processing: 0 [] {-} -c_Rings_Odvd__class_Odvd(tc_Nat_Onat,A,B)|c_Rings_Odvd__class_Odvd(tc_Nat_Onat,B,A)|A!=B.
% 0.21/0.54 Following clause subsumed by 432 during input processing: 0 [] {-} -c_Rings_Odvd__class_Odvd(tc_Nat_Onat,A,B)| -c_Rings_Odvd__class_Odvd(tc_Nat_Onat,B,A)|B=A.
% 0.21/0.54 Following clause subsumed by 432 during input processing: 0 [] {-} A=B| -c_Rings_Odvd__class_Odvd(tc_Nat_Onat,A,B)| -c_Rings_Odvd__class_Odvd(tc_Nat_Onat,B,A).
% 0.21/0.54 Following clause subsumed by 430 during input processing: 0 [] {-} A!=B|c_Rings_Odvd__class_Odvd(tc_Nat_Onat,A,B).
% 0.21/0.54 Following clause subsumed by 432 during input processing: 0 [] {-} -c_Rings_Odvd__class_Odvd(tc_Nat_Onat,A,B)| -c_Rings_Odvd__class_Odvd(tc_Nat_Onat,B,A)|B=A.
% 0.21/0.54 Following clause subsumed by 430 during input processing: 0 [] {-} -c_Rings_Odvd__class_Odvd(tc_Nat_Onat,A,B)|c_Rings_Odvd__class_Odvd(tc_Nat_Onat,B,A)|B!=A.
% 0.21/0.54 Following clause subsumed by 432 during input processing: 0 [] {-} -c_Rings_Odvd__class_Odvd(tc_Nat_Onat,A,B)| -c_Rings_Odvd__class_Odvd(tc_Nat_Onat,B,A)|A=B.
% 0.21/0.54 Following clause subsumed by 432 during input processing: 0 [] {-} -c_Rings_Odvd__class_Odvd(tc_Nat_Onat,A,B)|A=B| -c_Rings_Odvd__class_Odvd(tc_Nat_Onat,B,A).
% 0.21/0.54 Following clause subsumed by 432 during input processing: 0 [] {-} -c_Rings_Odvd__class_Odvd(tc_Nat_Onat,A,B)| -c_Rings_Odvd__class_Odvd(tc_Nat_Onat,B,A)|A=B.
% 0.21/0.54 Following clause subsumed by 432 during input processing: 0 [] {-} -c_Rings_Odvd__class_Odvd(tc_Nat_Onat,A,B)| -c_Rings_Odvd__class_Odvd(tc_Nat_Onat,B,A)|A=B.
% 0.21/0.54 Following clause subsumed by 433 during input processing: 0 [] {-} A!=B| -c_Rings_Odvd__class_Odvd(tc_Nat_Onat,B,C)|c_Rings_Odvd__class_Odvd(tc_Nat_Onat,C,B)|c_Rings_Odvd__class_Odvd(tc_Nat_Onat,A,C).
% 0.21/0.54 Following clause subsumed by 434 during input processing: 0 [] {-} A!=B| -c_Rings_Odvd__class_Odvd(tc_Nat_Onat,B,C)|c_Rings_Odvd__class_Odvd(tc_Nat_Onat,C,B)| -c_Rings_Odvd__class_Odvd(tc_Nat_Onat,C,A).
% 0.21/0.54 Following clause subsumed by 435 during input processing: 0 [] {-} -c_Rings_Odvd__class_Odvd(tc_Nat_Onat,A,B)| -c_Rings_Odvd__class_Odvd(tc_Nat_Onat,B,C)|c_Rings_Odvd__class_Odvd(tc_Nat_Onat,C,B)|c_Rings_Odvd__class_Odvd(tc_Nat_Onat,A,C).
% 0.21/0.54 Following clause subsumed by 435 during input processing: 0 [] {-} -c_Rings_Odvd__class_Odvd(tc_Nat_Onat,A,B)| -c_Rings_Odvd__class_Odvd(tc_Nat_Onat,B,C)|c_Rings_Odvd__class_Odvd(tc_Nat_Onat,C,B)| -c_Rings_Odvd__class_Odvd(tc_Nat_Onat,C,A).
% 0.21/0.54 Following clause subsumed by 431 during input processing: 0 [] {-} -c_Rings_Odvd__class_Odvd(tc_Nat_Onat,A,B)|c_Rings_Odvd__class_Odvd(tc_Nat_Onat,B,A)|A!=B.
% 0.21/0.54 Following clause subsumed by 431 during input processing: 0 [] {-} -c_Rings_Odvd__class_Odvd(tc_Nat_Onat,A,B)|c_Rings_Odvd__class_Odvd(tc_Nat_Onat,B,A)|A!=B.
% 0.21/0.54 Following clause subsumed by 430 during input processing: 0 [] {-} -c_Rings_Odvd__class_Odvd(tc_Nat_Onat,A,B)|c_Rings_Odvd__class_Odvd(tc_Nat_Onat,B,A)|B!=A.
% 0.21/0.54 Following clause subsumed by 434 during input processing: 0 [] {-} -c_Rings_Odvd__class_Odvd(tc_Nat_Onat,A,B)|c_Rings_Odvd__class_Odvd(tc_Nat_Onat,B,A)|B!=C|c_Rings_Odvd__class_Odvd(tc_Nat_Onat,A,C).
% 0.21/0.54 Following clause subsumed by 433 during input processing: 0 [] {-} -c_Rings_Odvd__class_Odvd(tc_Nat_Onat,A,B)|c_Rings_Odvd__class_Odvd(tc_Nat_Onat,B,A)|B!=C| -c_Rings_Odvd__class_Odvd(tc_Nat_Onat,C,A).
% 0.21/0.54 Following clause subsumed by 435 during input processing: 0 [] {-} -c_Rings_Odvd__class_Odvd(tc_Nat_Onat,A,B)|c_Rings_Odvd__class_Odvd(tc_Nat_Onat,B,A)| -c_Rings_Odvd__class_Odvd(tc_Nat_Onat,B,C)|c_Rings_Odvd__class_Odvd(tc_Nat_Onat,A,C).
% 0.21/0.54 Following clause subsumed by 435 during input processing: 0 [] {-} -c_Rings_Odvd__class_Odvd(tc_Nat_Onat,A,B)|c_Rings_Odvd__class_Odvd(tc_Nat_Onat,B,A)| -c_Rings_Odvd__class_Odvd(tc_Nat_Onat,B,C)| -c_Rings_Odvd__class_Odvd(tc_Nat_Onat,C,A).
% 0.21/0.54 Following clause subsumed by 435 during input processing: 0 [] {-} -c_Rings_Odvd__class_Odvd(tc_Nat_Onat,A,B)|c_Rings_Odvd__class_Odvd(tc_Nat_Onat,B,A)| -c_Rings_Odvd__class_Odvd(tc_Nat_Onat,B,C)|c_Rings_Odvd__class_Odvd(tc_Nat_Onat,C,B)|c_Rings_Odvd__class_Odvd(tc_Nat_Onat,A,C).
% 0.21/0.54 Following clause subsumed by 435 during input processing: 0 [] {-} -c_Rings_Odvd__class_Odvd(tc_Nat_Onat,A,B)|c_Rings_Odvd__class_Odvd(tc_Nat_Onat,B,A)| -c_Rings_Odvd__class_Odvd(tc_Nat_Onat,B,C)|c_Rings_Odvd__class_Odvd(tc_Nat_Onat,C,B)| -c_Rings_Odvd__class_Odvd(tc_Nat_Onat,C,A).
% 0.21/0.54 Following clause subsumed by 437 during input processing: 0 [] {-} -class_Rings_Odivision__ring__inverse__zero(A)|c_Rings_Oinverse__class_Oinverse(A,B)!=c_Rings_Oinverse__class_Oinverse(A,C)|B=C.
% 0.21/0.54 Following clause subsumed by 444 during input processing: 0 [] {-} -class_Rings_Odivision__ring(A)|c_Rings_Oinverse__class_Oinverse(A,B)!=c_Groups_Ozero__class_Ozero(A)|B=c_Groups_Ozero__class_Ozero(A).
% 0.21/0.54 Following clause subsumed by 460 during input processing: 0 [] {-} A=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)| -c_Rings_Odvd__class_Odvd(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),B),A),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),C),A))|c_Rings_Odvd__class_Odvd(tc_Nat_Onat,B,C).
% 0.21/0.54 Following clause subsumed by 484 during input processing: 0 [] {-} -class_Groups_Oordered__ab__semigroup__add__imp__le(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Oplus__class_Oplus(A,B,C),c_Groups_Oplus__class_Oplus(A,B,D))|c_Orderings_Oord__class_Oless(A,C,D).
% 0.21/0.54 Following clause subsumed by 485 during input processing: 0 [] {-} -class_Groups_Oordered__ab__semigroup__add__imp__le(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Oplus__class_Oplus(A,B,C),c_Groups_Oplus__class_Oplus(A,D,C))|c_Orderings_Oord__class_Oless(A,B,D).
% 0.21/0.54 Following clause subsumed by 494 during input processing: 0 [] {-} -class_Groups_Oordered__ab__group__add(A)|c_Orderings_Oord__class_Oless(A,c_Groups_Ouminus__class_Ouminus(A,B),C)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ouminus__class_Ouminus(A,C),B).
% 0.21/0.54 Following clause subsumed by 495 during input processing: 0 [] {-} -class_Groups_Oordered__ab__group__add(A)|c_Orderings_Oord__class_Oless(A,B,c_Groups_Ouminus__class_Ouminus(A,C))| -c_Orderings_Oord__class_Oless(A,C,c_Groups_Ouminus__class_Ouminus(A,B)).
% 0.21/0.54 Following clause subsumed by 478 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 0.21/0.54 Following clause subsumed by 478 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 0.21/0.54 Following clause subsumed by 479 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(A),c_Nat_OSuc(B))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B).
% 0.21/0.54 Following clause subsumed by 503 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,c_Nat_OSuc(B))|A=B.
% 0.21/0.54 Following clause subsumed by 505 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,c_Nat_OSuc(B))|A!=B.
% 0.21/0.54 Following clause subsumed by 504 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,c_Nat_OSuc(B)).
% 0.21/0.54 Following clause subsumed by 503 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,c_Nat_OSuc(B))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|A=B.
% 0.21/0.54 Following clause subsumed by 506 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(A),c_Nat_OSuc(B))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B).
% 0.21/0.54 Following clause subsumed by 528 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,A).
% 0.21/0.54 Following clause subsumed by 530 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|B!=A.
% 0.21/0.54 Following clause subsumed by 529 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|A!=B.
% 0.21/0.54 Following clause subsumed by 544 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),c_Groups_Ominus__class_Ominus(A,C,D))=c_Groups_Ominus__class_Ominus(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D)).
% 0.21/0.54 Following clause subsumed by 545 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),c_Groups_Ominus__class_Ominus(A,B,C)),D)=c_Groups_Ominus__class_Ominus(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),D)).
% 0.21/0.54 Following clause subsumed by 560 during input processing: 0 [] {-} -hBOOL(hAPP(A,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,B,C)))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,B,C)|hBOOL(hAPP(A,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 0.21/0.54 Following clause subsumed by 561 during input processing: 0 [] {-} -hBOOL(hAPP(A,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,B,C)))|B!=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,C,D)|hBOOL(hAPP(A,D)).
% 0.21/0.54 Following clause subsumed by 577 during input processing: 0 [] {-} -class_Rings_Olinordered__semidom(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Oone__class_Oone(A),B)| -c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),D))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,C,D).
% 0.21/0.54 Following clause subsumed by 576 during input processing: 0 [] {-} -class_Rings_Olinordered__semidom(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Oone__class_Oone(A),B)|c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),D))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,C,D).
% 0.21/0.54 Following clause subsumed by 580 during input processing: 0 [flip.2] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),A)|c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,A,c_Groups_Oone__class_Oone(tc_Nat_Onat)))=A.
% 0.21/0.54 Following clause subsumed by 610 during input processing: 0 [] {-} -class_Rings_Olinordered__ring__strict(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),B)|c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D))| -c_Orderings_Oord__class_Oless(A,C,D).
% 0.21/0.54 Following clause subsumed by 611 during input processing: 0 [] {-} -class_Rings_Olinordered__ring__strict(A)| -c_Orderings_Oord__class_Oless(A,B,c_Groups_Ozero__class_Ozero(A))|c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D))| -c_Orderings_Oord__class_Oless(A,D,C).
% 0.21/0.54 Following clause subsumed by 615 during input processing: 0 [] {-} -class_Rings_Olinordered__semiring__strict(A)| -c_Orderings_Oord__class_Oless(A,B,c_Groups_Ozero__class_Ozero(A))| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),C)|c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C),c_Groups_Ozero__class_Ozero(A)).
% 0.21/0.54 Following clause subsumed by 605 during input processing: 0 [] {-} -class_Rings_Olinordered__ring__strict(A)| -c_Orderings_Oord__class_Oless(A,B,C)| -c_Orderings_Oord__class_Oless(A,D,c_Groups_Ozero__class_Ozero(A))|c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),D),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D)).
% 0.21/0.54 Following clause subsumed by 611 during input processing: 0 [] {-} -class_Rings_Olinordered__ring__strict(A)| -c_Orderings_Oord__class_Oless(A,B,C)| -c_Orderings_Oord__class_Oless(A,D,c_Groups_Ozero__class_Ozero(A))|c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),B)).
% 0.21/0.54 Following clause subsumed by 505 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))|A!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.21/0.54 Following clause subsumed by 516 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,B))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),A).
% 0.21/0.54 Following clause subsumed by 515 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,B))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),B).
% 0.21/0.54 Following clause subsumed by 682 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),C)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),B),C)).
% 0.21/0.54 Following clause subsumed by 679 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),C)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),C),A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),C),B)).
% 0.21/0.54 Following clause subsumed by 173 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),C)|B!=C.
% 0.21/0.54 Following clause subsumed by 678 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),A)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),C))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,B,C).
% 0.21/0.54 Following clause subsumed by 679 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),A)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),C))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,B,C).
% 0.21/0.54 Following clause subsumed by 471 during input processing: 0 [] {-} -class_Fields_Ofield(A)|B=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(A))|c_Polynomial_Opoly__gcd(A,C,B)=c_Polynomial_Opoly__gcd(A,B,c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(A),C,B)).
% 0.21/0.55 Following clause subsumed by 678 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(A)),B),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(A)),C))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,B,C).
% 0.21/0.55 Following clause subsumed by 695 during input processing: 0 [] {-} -class_Rings_Ocomm__ring(A)| -class_Rings_Odvd(A)| -c_Rings_Odvd__class_Odvd(A,B,C)| -c_Rings_Odvd__class_Odvd(A,B,c_Groups_Oplus__class_Oplus(A,D,E))|c_Rings_Odvd__class_Odvd(A,B,c_Groups_Oplus__class_Oplus(A,c_Groups_Ominus__class_Ominus(A,D,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),F),C)),E)).
% 0.21/0.55 Following clause subsumed by 696 during input processing: 0 [] {-} -class_Rings_Ocomm__ring(A)| -class_Rings_Odvd(A)| -c_Rings_Odvd__class_Odvd(A,B,C)|c_Rings_Odvd__class_Odvd(A,B,c_Groups_Oplus__class_Oplus(A,D,E))| -c_Rings_Odvd__class_Odvd(A,B,c_Groups_Oplus__class_Oplus(A,c_Groups_Ominus__class_Ominus(A,D,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),F),C)),E)).
% 0.21/0.55 Following clause subsumed by 389 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),A)|c_Rings_Odvd__class_Odvd(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),C))| -c_Rings_Odvd__class_Odvd(tc_Nat_Onat,B,C).
% 0.21/0.55 Following clause subsumed by 714 during input processing: 0 [] {-} -c_Rings_Odvd__class_Odvd(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),C))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),A)|c_Rings_Odvd__class_Odvd(tc_Nat_Onat,B,C).
% 0.21/0.55 Following clause subsumed by 176 during input processing: 0 [] {-} A!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.21/0.55 Following clause subsumed by 687 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),A),B))|B=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),A).
% 0.21/0.55 Following clause subsumed by 689 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),A),B))|B!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.21/0.55 Following clause subsumed by 688 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),A),B))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),A).
% 0.21/0.55 Following clause subsumed by 733 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|c_Divides_Odiv__class_Omod(tc_Nat_Onat,A,B)=A.
% 0.21/0.55 Following clause subsumed by 750 during input processing: 0 [] {-} c_Divides_Odiv__class_Omod(tc_Int_Oint,A,B)!=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|c_Divides_Odiv__class_Omod(tc_Int_Oint,A,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,B))=c_Groups_Ozero__class_Ozero(tc_Int_Oint).
% 0.21/0.55 Following clause subsumed by 749 during input processing: 0 [] {-} c_Divides_Odiv__class_Omod(tc_Int_Oint,A,B)!=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|c_Divides_Odiv__class_Omod(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,A),B)=c_Groups_Ozero__class_Ozero(tc_Int_Oint).
% 0.21/0.55 Following clause subsumed by 778 during input processing: 0 [flip.2] {-} -class_Divides_Osemiring__div(A)|c_Divides_Odiv__class_Omod(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),c_Divides_Odiv__class_Omod(A,B,D)),C),D)=c_Divides_Odiv__class_Omod(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C),D).
% 0.21/0.55 Following clause subsumed by 790 during input processing: 0 [] {-} -class_Divides_Osemiring__div(A)|c_Divides_Odiv__class_Omod(A,c_Groups_Oplus__class_Oplus(A,B,c_Divides_Odiv__class_Omod(A,C,D)),D)=c_Divides_Odiv__class_Omod(A,c_Groups_Oplus__class_Oplus(A,B,C),D).
% 0.21/0.56 Following clause subsumed by 792 during input processing: 0 [] {-} -class_Divides_Osemiring__div(A)|c_Divides_Odiv__class_Omod(A,c_Groups_Oplus__class_Oplus(A,c_Divides_Odiv__class_Omod(A,B,C),D),C)=c_Divides_Odiv__class_Omod(A,c_Groups_Oplus__class_Oplus(A,B,D),C).
% 0.21/0.56 Following clause subsumed by 806 during input processing: 0 [] {-} -class_Divides_Osemiring__div(A)| -c_Rings_Odvd__class_Odvd(A,B,C)| -c_Rings_Odvd__class_Odvd(A,B,c_Divides_Odiv__class_Omod(A,D,C))|c_Rings_Odvd__class_Odvd(A,B,D).
% 0.21/0.56 Following clause subsumed by 807 during input processing: 0 [] {-} -class_Divides_Osemiring__div(A)| -c_Rings_Odvd__class_Odvd(A,B,C)|c_Rings_Odvd__class_Odvd(A,B,c_Divides_Odiv__class_Omod(A,D,C))| -c_Rings_Odvd__class_Odvd(A,B,D).
% 0.21/0.56 Following clause subsumed by 730 during input processing: 0 [] {-} -class_Divides_Osemiring__div(A)| -c_Rings_Odvd__class_Odvd(A,B,C)|c_Divides_Odiv__class_Omod(A,C,B)=c_Groups_Ozero__class_Ozero(A).
% 0.21/0.56 Following clause subsumed by 515 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,C,B)).
% 0.21/0.56 Following clause subsumed by 870 during input processing: 0 [] {-} -class_Rings_Odivision__ring(A)|B=c_Groups_Ozero__class_Ozero(A)|c_Rings_Oinverse__class_Odivide(A,C,B)=D|C!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),B).
% 0.21/0.56 Following clause subsumed by 869 during input processing: 0 [] {-} -class_Rings_Odivision__ring(A)|B=c_Groups_Ozero__class_Ozero(A)|C=c_Rings_Oinverse__class_Odivide(A,D,B)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),B)!=D.
% 0.21/0.56 Following clause subsumed by 891 during input processing: 0 [] {-} -class_Fields_Ofield(A)| -c_Polynomial_Opdivmod__rel(A,B,C,D,E)| -c_Polynomial_Opdivmod__rel(A,B,C,F,G)|D=F.
% 0.21/0.56 Following clause subsumed by 892 during input processing: 0 [] {-} -class_Fields_Ofield(A)| -c_Polynomial_Opdivmod__rel(A,B,C,D,E)| -c_Polynomial_Opdivmod__rel(A,B,C,F,G)|E=G.
% 0.21/0.56 Following clause subsumed by 929 during input processing: 0 [] {-} -class_Fields_Olinordered__field(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),B)| -c_Orderings_Oord__class_Oless(A,C,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),B))|c_Orderings_Oord__class_Oless(A,c_Rings_Oinverse__class_Odivide(A,C,B),D).
% 0.21/0.56 Following clause subsumed by 927 during input processing: 0 [] {-} -class_Fields_Olinordered__field(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),B)| -c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),B),D)|c_Orderings_Oord__class_Oless(A,C,c_Rings_Oinverse__class_Odivide(A,D,B)).
% 0.21/0.56 Following clause subsumed by 905 during input processing: 0 [] {-} -class_Rings_Odivision__ring(A)|B=c_Groups_Ozero__class_Ozero(A)|c_Rings_Oinverse__class_Oinverse(A,B)=c_Rings_Oinverse__class_Odivide(A,c_Groups_Oone__class_Oone(A),B).
% 0.21/0.56 Following clause subsumed by 516 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,B,C)).
% 0.21/0.56 Following clause subsumed by 995 during input processing: 0 [] {-} -class_Divides_Osemiring__div(A)|B=c_Groups_Ozero__class_Ozero(A)|c_Divides_Odiv__class_Odiv(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D))=c_Divides_Odiv__class_Odiv(A,C,D).
% 0.21/0.56 Following clause subsumed by 1002 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Int_Oint,A,c_Groups_Ozero__class_Ozero(tc_Int_Oint))| -c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),B)|c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,A,B),c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 0.21/0.56 Following clause subsumed by 1054 during input processing: 0 [] {-} -class_Rings_Olinordered__semidom(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Oone__class_Oone(A),B)| -c_Orderings_Oord__class_Oless__eq(A,hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),D))|c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,C,D).
% 0.40/0.58 Following clause subsumed by 1092 during input processing: 0 [] {-} -class_Rings_Oordered__cancel__semiring(A)| -c_Orderings_Oord__class_Oless__eq(A,B,c_Groups_Ozero__class_Ozero(A))| -c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ozero__class_Ozero(A),C)|c_Orderings_Oord__class_Oless__eq(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C),c_Groups_Ozero__class_Ozero(A)).
% 0.40/0.58 Following clause subsumed by 1093 during input processing: 0 [] {-} -class_Rings_Oordered__ring(A)| -c_Orderings_Oord__class_Oless__eq(A,B,c_Groups_Ozero__class_Ozero(A))| -c_Orderings_Oord__class_Oless__eq(A,C,c_Groups_Ozero__class_Ozero(A))|c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ozero__class_Ozero(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)).
% 0.40/0.58 Following clause subsumed by 1091 during input processing: 0 [] {-} -class_Rings_Oordered__cancel__semiring(A)| -c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ozero__class_Ozero(A),B)| -c_Orderings_Oord__class_Oless__eq(A,C,c_Groups_Ozero__class_Ozero(A))|c_Orderings_Oord__class_Oless__eq(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C),c_Groups_Ozero__class_Ozero(A)).
% 0.40/0.58 Following clause subsumed by 1092 during input processing: 0 [] {-} -class_Rings_Oordered__cancel__semiring(A)| -c_Orderings_Oord__class_Oless__eq(A,B,c_Groups_Ozero__class_Ozero(A))| -c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ozero__class_Ozero(A),C)|c_Orderings_Oord__class_Oless__eq(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C),c_Groups_Ozero__class_Ozero(A)).
% 0.40/0.58 Following clause subsumed by 1104 during input processing: 0 [] {-} -class_Groups_Oordered__comm__monoid__add(A)| -c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ozero__class_Ozero(A),B)| -c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ozero__class_Ozero(A),C)|c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ozero__class_Ozero(A),c_Groups_Oplus__class_Oplus(A,B,C)).
% 0.40/0.58 Following clause subsumed by 1137 during input processing: 0 [] {-} -class_Groups_Oordered__ab__group__add(A)|c_Orderings_Oord__class_Oless__eq(A,B,c_Groups_Ouminus__class_Ouminus(A,C))| -c_Orderings_Oord__class_Oless__eq(A,C,c_Groups_Ouminus__class_Ouminus(A,B)).
% 0.40/0.58 Following clause subsumed by 1138 during input processing: 0 [] {-} -class_Groups_Oordered__ab__group__add(A)|c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ouminus__class_Ouminus(A,B),C)| -c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ouminus__class_Ouminus(A,C),B).
% 0.40/0.58 Following clause subsumed by 1140 during input processing: 0 [] {-} -class_Groups_Oordered__ab__group__add(A)| -c_Orderings_Oord__class_Oless__eq(A,B,C)|c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ouminus__class_Ouminus(A,C),c_Groups_Ouminus__class_Ouminus(A,B)).
% 0.40/0.58 Following clause subsumed by 1141 during input processing: 0 [] {-} -class_Groups_Oordered__ab__semigroup__add__imp__le(A)| -c_Orderings_Oord__class_Oless__eq(A,c_Groups_Oplus__class_Oplus(A,B,C),c_Groups_Oplus__class_Oplus(A,D,C))|c_Orderings_Oord__class_Oless__eq(A,B,D).
% 0.40/0.58 Following clause subsumed by 1143 during input processing: 0 [] {-} -class_Groups_Oordered__ab__semigroup__add__imp__le(A)| -c_Orderings_Oord__class_Oless__eq(A,c_Groups_Oplus__class_Oplus(A,B,C),c_Groups_Oplus__class_Oplus(A,B,D))|c_Orderings_Oord__class_Oless__eq(A,C,D).
% 0.40/0.58 Following clause subsumed by 1184 during input processing: 0 [] {-} -class_Groups_Oordered__comm__monoid__add(A)| -c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ozero__class_Ozero(A),B)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),C)|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),c_Groups_Oplus__class_Oplus(A,B,C)).
% 0.40/0.58 Following clause subsumed by 1185 during input processing: 0 [] {-} -class_Groups_Oordered__comm__monoid__add(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),B)| -c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ozero__class_Ozero(A),C)|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),c_Groups_Oplus__class_Oplus(A,B,C)).
% 0.40/0.58 5 back subsumes 3.
% 0.40/0.58 6 back subsumes 4.
% 0.40/0.58 430 back subsumes 386.
% 0.40/0.58 430 back subsumes 384.
% 0.40/0.58 500 back subsumes 499.
% 0.40/0.58 724 back subsumes 365.
% 0.40/0.59 Following clause subsumed by 439 during input processing: 0 [copy,1278,flip.1] {-} c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),A),A)!=c_Groups_Ozero__class_Ozero(tc_Int_Oint).
% 0.40/0.59 1344 back subsumes 1343.
% 0.40/0.59 1430 back subsumes 1427.
% 0.40/0.59
% 0.40/0.59 ------------> process sos:
% 0.40/0.59 Following clause subsumed by 1472 during input processing: 0 [demod,1511] {-} c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,c_Groups_Oone__class_Oone(tc_Nat_Onat))=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),A).
% 0.40/0.59 Following clause subsumed by 1522 during input processing: 0 [] {-} c_Rings_Odvd__class_Odvd(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),A).
% 0.40/0.59 Following clause subsumed by 1595 during input processing: 0 [] {-} A=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),A).
% 0.40/0.59 Following clause subsumed by 1598 during input processing: 0 [] {-} A=B|c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,B,A).
% 0.40/0.59 Following clause subsumed by 1598 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|A=B|c_Orderings_Oord__class_Oless(tc_Nat_Onat,B,A)|hBOOL(hAPP(hAPP(C,B),A)).
% 0.40/0.59 Following clause subsumed by 1609 during input processing: 0 [demod,1613] {-} c_Groups_Ominus__class_Ominus(tc_Int_Oint,A,B)=c_Groups_Ominus__class_Ominus(tc_Int_Oint,A,B).
% 0.40/0.59 Following clause subsumed by 1609 during input processing: 0 [demod,1627] {-} c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),A),B),C)=c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),A),B),C).
% 0.40/0.59 Following clause subsumed by 1654 during input processing: 0 [flip.2] {-} c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|c_Divides_Odiv__class_Omod(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,A,B),B)=c_Divides_Odiv__class_Omod(tc_Nat_Onat,A,B).
% 0.40/0.59 Following clause subsumed by 1609 during input processing: 0 [demod,1511,1464,1656,1511] {-} c_Divides_Odiv__class_Omod(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,C,c_Groups_Oone__class_Oone(tc_Nat_Onat)),B)=c_Divides_Odiv__class_Omod(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,C,c_Groups_Oone__class_Oone(tc_Nat_Onat)),B).
% 0.40/0.59 Following clause subsumed by 1609 during input processing: 0 [demod,1680] {-} c_Groups_Oplus__class_Oplus(tc_Int_Oint,B,C)=c_Groups_Oplus__class_Oplus(tc_Int_Oint,B,C).
% 0.40/0.59 Following clause subsumed by 1609 during input processing: 0 [] {-} A=A.
% 0.40/0.59 Following clause subsumed by 1469 during input processing: 0 [copy,1469,flip.1] {-} c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,B,C))=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,B,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,C)).
% 0.40/0.59 Following clause subsumed by 1472 during input processing: 0 [copy,1472,flip.1] {-} c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,B)=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,B,A).
% 0.40/0.59 Following clause subsumed by 1609 during input processing: 0 [copy,1491,flip.1,demod,1502,1511,1462,1511,1502] {-} c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,c_Groups_Oone__class_Oone(tc_Nat_Onat))=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 0.40/0.59 Following clause subsumed by 1609 during input processing: 0 [copy,1493,flip.1] {-} c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),C),B),D))=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),C),B),D)).
% 0.40/0.59 Following clause subsumed by 1498 during input processing: 0 [copy,1498,flip.1] {-} hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),B),A).
% 0.40/0.59 Following clause subsumed by 1609 during input processing: 0 [copy,1504,flip.1] {-} c_Groups_Ozero__class_Ozero(tc_Nat_Onat)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.42/0.60 Following clause subsumed by 1531 during input processing: 0 [copy,1531,flip.1] {-} hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),A),B)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),B),A).
% 0.42/0.60 Following clause subsumed by 1546 during input processing: 0 [copy,1546,flip.1] {-} c_Groups_Oplus__class_Oplus(tc_Int_Oint,A,c_Groups_Oplus__class_Oplus(tc_Int_Oint,B,C))=c_Groups_Oplus__class_Oplus(tc_Int_Oint,B,c_Groups_Oplus__class_Oplus(tc_Int_Oint,A,C)).
% 0.42/0.60 Following clause subsumed by 1547 during input processing: 0 [copy,1547,flip.1] {-} c_Groups_Oplus__class_Oplus(tc_Int_Oint,A,B)=c_Groups_Oplus__class_Oplus(tc_Int_Oint,B,A).
% 0.42/0.60 Following clause subsumed by 1599 during input processing: 0 [copy,1599,flip.1] {-} c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,A,B),C)=c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,A,C),B).
% 0.42/0.60 Following clause subsumed by 1609 during input processing: 0 [copy,1609,flip.1] {-} A=A.
% 0.42/0.60 1609 back subsumes 1504.
% 0.42/0.60 1609 back subsumes 1493.
% 0.42/0.60 1609 back subsumes 1442.
% 0.42/0.60 1609 back subsumes 1440.
% 0.42/0.60 1609 back subsumes 1394.
% 0.42/0.60 1609 back subsumes 1364.
% 0.42/0.60 1609 back subsumes 1363.
% 0.42/0.60 1609 back subsumes 1362.
% 0.42/0.60 1609 back subsumes 1292.
% 0.42/0.60 1609 back subsumes 1287.
% 0.42/0.60 1609 back subsumes 1281.
% 0.42/0.60 1609 back subsumes 1280.
% 0.42/0.60 1609 back subsumes 1279.
% 0.42/0.60 1609 back subsumes 1277.
% 0.42/0.60 1609 back subsumes 1269.
% 0.42/0.60 Following clause subsumed by 1848 during input processing: 0 [copy,1845,flip.1] {-} c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),B))=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,B,c_Groups_Oone__class_Oone(tc_Nat_Onat))).
% 0.42/0.60 Following clause subsumed by 1845 during input processing: 0 [copy,1848,flip.1] {-} c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,B,c_Groups_Oone__class_Oone(tc_Nat_Onat)))=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),B)).
% 0.42/0.60 Following clause subsumed by 1921 during input processing: 0 [copy,1918,flip.1] {-} c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,A,A))!=c_Groups_Ozero__class_Ozero(tc_Int_Oint).
% 0.42/0.60 Following clause subsumed by 1918 during input processing: 0 [copy,1921,flip.1] {-} c_Groups_Ozero__class_Ozero(tc_Int_Oint)!=c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,A,A)).
% 0.42/0.60 Following clause subsumed by 1548 during input processing: 0 [copy,1924,flip.1] {-} c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,A),A)=c_Groups_Ozero__class_Ozero(tc_Int_Oint).
% 0.42/0.60 Following clause subsumed by 1571 during input processing: 0 [copy,1925,flip.1] {-} c_Groups_Ominus__class_Ominus(tc_Nat_Onat,A,A)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.42/0.60 Following clause subsumed by 1582 during input processing: 0 [copy,1926,flip.1] {-} c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,A,B),C)=c_Groups_Ominus__class_Ominus(tc_Nat_Onat,A,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,B,C)).
% 0.42/0.60 Following clause subsumed by 1607 during input processing: 0 [copy,1927,flip.1] {-} c_Groups_Ominus__class_Ominus(tc_Nat_Onat,A,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,B))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.42/0.60 Following clause subsumed by 1611 during input processing: 0 [copy,1928,flip.1] {-} c_Groups_Ominus__class_Ominus(tc_Nat_Onat,A,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,B,c_Groups_Oone__class_Oone(tc_Nat_Onat)))=c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,A,c_Groups_Oone__class_Oone(tc_Nat_Onat)),B).
% 0.42/0.60 Following clause subsumed by 1625 during input processing: 0 [copy,1931,flip.1] {-} c_Divides_Odiv__class_Omod(tc_Nat_Onat,A,c_Groups_Oone__class_Oone(tc_Nat_Onat))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.42/0.60 Following clause subsumed by 1648 during input processing: 0 [copy,1933,flip.1] {-} c_Divides_Odiv__class_Omod(tc_Int_Oint,A,A)=c_Groups_Ozero__class_Ozero(tc_Int_Oint).
% 0.42/0.60 Following clause subsumed by 1668 during input processing: 0 [copy,1934,flip.1] {-} c_Divides_Odiv__class_Odiv(tc_Int_Oint,A,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,B))=c_Divides_Odiv__class_Odiv(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,A),B).
% 0.42/0.60 Following clause subsumed by 1677 during input processing: 0 [copy,1935,flip.1] {-} c_Divides_Odiv__class_Odiv(tc_Int_Oint,c_Divides_Odiv__class_Omod(tc_Int_Oint,A,B),B)=c_Groups_Ozero__class_Ozero(tc_Int_Oint).
% 0.42/0.60 Following clause subsumed by 1696 during input processing: 0 [copy,1939,flip.1] {-} c_Divides_Odiv__class_Odiv(tc_Nat_Onat,A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),B),C))=c_Divides_Odiv__class_Odiv(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,A,B),C).
% 0.42/0.60 Following clause subsumed by 1841 during input processing: 0 [copy,1940,flip.1] {-} hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),A)=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex).
% 0.42/0.60 Following clause subsumed by 1913 during input processing: 0 [copy,1941,flip.1] {-} c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,c_Groups_Oone__class_Oone(tc_Nat_Onat))!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.42/0.60
% 0.42/0.60 ======= end of input processing =======
% 0.42/0.60
% 0.42/0.60 SEGMENTATION FAULT!! This is probably caused by a
% 0.42/0.60 bug in Otter. Please send copy of the input file to
% 0.42/0.60 otter@mcs.anl.gov, let us know what version of Otter you are
% 0.42/0.60 using, and send any other info that might be useful.
% 0.42/0.60
% 0.42/0.60
% 0.42/0.60 SEGMENTATION FAULT!! This is probably caused by a
% 0.42/0.60 bug in Otter. Please send copy of the input file to
% 0.42/0.60 otter@mcs.anl.gov, let us know what version of Otter you are
% 0.42/0.60 using, and send any other info that might be useful.
% 0.42/0.60
% 0.42/0.60
% 0.42/0.60 The job finished Sat Jun 4 12:32:14 2022
%------------------------------------------------------------------------------