TSTP Solution File: SWW274+1 by SOS---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : SWW274+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n019.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 01:26:28 EDT 2022
% Result : Unknown 0.44s 0.63s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SWW274+1 : TPTP v8.1.0. Released v5.2.0.
% 0.10/0.11 % Command : sos-script %s
% 0.10/0.32 % Computer : n019.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 600
% 0.10/0.32 % DateTime : Mon Jun 6 04:54:55 EDT 2022
% 0.10/0.32 % CPUTime :
% 0.16/0.50 ----- Otter 3.2, August 2001 -----
% 0.16/0.50 The process was started by sandbox on n019.cluster.edu,
% 0.16/0.50 Mon Jun 6 04:54:55 2022
% 0.16/0.50 The command was "./sos". The process ID is 2779.
% 0.16/0.50
% 0.16/0.50 set(prolog_style_variables).
% 0.16/0.50 set(auto).
% 0.16/0.50 dependent: set(auto1).
% 0.16/0.50 dependent: set(process_input).
% 0.16/0.50 dependent: clear(print_kept).
% 0.16/0.50 dependent: clear(print_new_demod).
% 0.16/0.50 dependent: clear(print_back_demod).
% 0.16/0.50 dependent: clear(print_back_sub).
% 0.16/0.50 dependent: set(control_memory).
% 0.16/0.50 dependent: assign(max_mem, 12000).
% 0.16/0.50 dependent: assign(pick_given_ratio, 4).
% 0.16/0.50 dependent: assign(stats_level, 1).
% 0.16/0.50 dependent: assign(pick_semantic_ratio, 3).
% 0.16/0.50 dependent: assign(sos_limit, 5000).
% 0.16/0.50 dependent: assign(max_weight, 60).
% 0.16/0.50 clear(print_given).
% 0.16/0.50
% 0.16/0.50 formula_list(usable).
% 0.16/0.50
% 0.16/0.50 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=7.
% 0.16/0.50
% 0.16/0.50 This ia a non-Horn set with equality. The strategy will be
% 0.16/0.50 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.16/0.50 unit deletion, with positive clauses in sos and nonpositive
% 0.16/0.50 clauses in usable.
% 0.16/0.50
% 0.16/0.50 dependent: set(knuth_bendix).
% 0.16/0.50 dependent: set(para_from).
% 0.16/0.50 dependent: set(para_into).
% 0.16/0.50 dependent: clear(para_from_right).
% 0.16/0.50 dependent: clear(para_into_right).
% 0.16/0.50 dependent: set(para_from_vars).
% 0.16/0.50 dependent: set(eq_units_both_ways).
% 0.16/0.50 dependent: set(dynamic_demod_all).
% 0.16/0.50 dependent: set(dynamic_demod).
% 0.16/0.50 dependent: set(order_eq).
% 0.16/0.50 dependent: set(back_demod).
% 0.16/0.50 dependent: set(lrpo).
% 0.16/0.50 dependent: set(hyper_res).
% 0.16/0.50 dependent: set(unit_deletion).
% 0.16/0.50 dependent: set(factor).
% 0.16/0.50
% 0.16/0.50 ------------> process usable:
% 0.16/0.50 Following clause subsumed by 3 during input processing: 0 [flip.1] {-} c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))!=v_qa____|c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex),v_pa____,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_qa____),v_na____)).
% 0.16/0.50 Following clause subsumed by 62 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).
% 0.16/0.50 Following clause subsumed by 68 during input processing: 0 [flip.2] {-} -class_Rings_Ozero__neq__one(A)|c_Groups_Ozero__class_Ozero(A)!=c_Groups_Oone__class_Oone(A).
% 0.16/0.50 Following clause subsumed by 98 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)).
% 0.16/0.50 Following clause subsumed by 96 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)).
% 0.16/0.50 Following clause subsumed by 96 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),C),B),c_Groups_Ozero__class_Ozero(A)).
% 0.16/0.50 Following clause subsumed by 95 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)).
% 0.16/0.50 Following clause subsumed by 139 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).
% 0.16/0.50 Following clause subsumed by 138 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.
% 0.16/0.50 Following clause subsumed by 186 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).
% 0.16/0.50 Following clause subsumed by 188 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).
% 0.16/0.50 Following clause subsumed by 190 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).
% 0.16/0.50 Following clause subsumed by 197 during input processing: 0 [] {-} c_Nat_OSuc(A)!=c_Nat_OSuc(B)|A=B.
% 0.16/0.50 Following clause subsumed by 199 during input processing: 0 [flip.1] {-} c_Nat_OSuc(A)!=A.
% 0.16/0.50 Following clause subsumed by 200 during input processing: 0 [flip.1] {-} c_Nat_OSuc(A)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.16/0.50 Following clause subsumed by 200 during input processing: 0 [] {-} c_Nat_OSuc(A)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.16/0.50 Following clause subsumed by 200 during input processing: 0 [] {-} c_Nat_OSuc(A)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.16/0.50 Following clause subsumed by 200 during input processing: 0 [flip.1] {-} c_Nat_OSuc(A)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.16/0.50 Following clause subsumed by 200 during input processing: 0 [flip.1] {-} c_Nat_OSuc(A)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.16/0.50 Following clause subsumed by 207 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,B)|c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,c_Nat_OSuc(B)).
% 0.16/0.50 Following clause subsumed by 206 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,c_Nat_OSuc(B))|c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,B)|A=c_Nat_OSuc(B).
% 0.16/0.50 Following clause subsumed by 230 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)).
% 0.16/0.50 Following clause subsumed by 173 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).
% 0.16/0.50 Following clause subsumed by 261 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).
% 0.16/0.50 Following clause subsumed by 246 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))|A!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.16/0.50 Following clause subsumed by 265 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,B)| -c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,C)|c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,B,A),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,C,A))| -c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,B,C).
% 0.16/0.50 Following clause subsumed by 273 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)).
% 0.16/0.50 Following clause subsumed by 259 during input processing: 0 [] {-} -class_Int_Oring__char__0(A)| -class_Rings_Oidom(A)|c_Polynomial_Opoly(A,B)!=c_Polynomial_Opoly(A,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(A)))|B=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(A)).
% 0.16/0.50 Following clause subsumed by 260 during input processing: 0 [] {-} -class_Int_Oring__char__0(A)| -class_Rings_Oidom(A)|c_Polynomial_Opoly(A,B)=c_Polynomial_Opoly(A,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(A)))|B!=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(A)).
% 0.16/0.50 Following clause subsumed by 282 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,B)|c_Groups_Ominus__class_Ominus(tc_Nat_Onat,A,B)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.16/0.50 Following clause subsumed by 305 during input processing: 0 [flip.2] {-} -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)).
% 0.16/0.50 Following clause subsumed by 311 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.
% 0.16/0.50 Following clause subsumed by 309 during input processing: 0 [] {-} c_Rings_Odvd__class_Odvd(tc_Nat_Onat,A,B)|A!=B.
% 0.16/0.50 Following clause subsumed by 310 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.
% 0.16/0.50 Following clause subsumed by 311 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.
% 0.16/0.50 Following clause subsumed by 311 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).
% 0.16/0.50 Following clause subsumed by 309 during input processing: 0 [] {-} A!=B|c_Rings_Odvd__class_Odvd(tc_Nat_Onat,A,B).
% 0.16/0.50 Following clause subsumed by 311 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.
% 0.16/0.50 Following clause subsumed by 309 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.
% 0.16/0.50 Following clause subsumed by 311 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.
% 0.16/0.50 Following clause subsumed by 311 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).
% 0.16/0.50 Following clause subsumed by 311 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.
% 0.16/0.50 Following clause subsumed by 311 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.
% 0.16/0.50 Following clause subsumed by 312 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).
% 0.16/0.50 Following clause subsumed by 313 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).
% 0.16/0.50 Following clause subsumed by 314 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).
% 0.16/0.50 Following clause subsumed by 314 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).
% 0.16/0.50 Following clause subsumed by 310 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.
% 0.16/0.50 Following clause subsumed by 310 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.
% 0.16/0.50 Following clause subsumed by 309 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.
% 0.16/0.50 Following clause subsumed by 313 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).
% 0.16/0.50 Following clause subsumed by 312 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).
% 0.16/0.50 Following clause subsumed by 314 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).
% 0.16/0.50 Following clause subsumed by 314 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).
% 0.16/0.50 Following clause subsumed by 314 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).
% 0.16/0.50 Following clause subsumed by 314 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).
% 0.16/0.50 Following clause subsumed by 315 during input processing: 0 [] {-} A!=B| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B).
% 0.16/0.50 Following clause subsumed by 316 during input processing: 0 [] {-} A!=B| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,B,A).
% 0.16/0.50 Following clause subsumed by 317 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,A).
% 0.16/0.50 Following clause subsumed by 320 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).
% 0.16/0.50 Following clause subsumed by 319 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).
% 0.16/0.50 Following clause subsumed by 307 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 0.16/0.50 Following clause subsumed by 316 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).
% 0.16/0.50 Following clause subsumed by 307 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 0.16/0.50 Following clause subsumed by 308 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).
% 0.16/0.50 Following clause subsumed by 328 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.
% 0.16/0.50 Following clause subsumed by 330 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.
% 0.16/0.50 Following clause subsumed by 329 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)).
% 0.16/0.50 Following clause subsumed by 328 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.
% 0.16/0.50 Following clause subsumed by 331 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).
% 0.16/0.50 Following clause subsumed by 246 during input processing: 0 [] {-} A!=B|c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,B).
% 0.16/0.50 Following clause subsumed by 336 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,B).
% 0.16/0.50 Following clause subsumed by 337 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,B)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|A=B.
% 0.16/0.50 Following clause subsumed by 336 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,B)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B).
% 0.16/0.50 Following clause subsumed by 246 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,B)|A!=B.
% 0.16/0.50 Following clause subsumed by 336 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,B).
% 0.16/0.50 Following clause subsumed by 315 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|A!=B.
% 0.16/0.50 Following clause subsumed by 337 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)| -c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,B)|A=B.
% 0.16/0.50 Following clause subsumed by 344 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).
% 0.16/0.50 Following clause subsumed by 350 during input processing: 0 [] {-} -class_Rings_Olinordered__semiring__strict(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),B)| -c_Orderings_Oord__class_Oless(A,C,c_Groups_Ozero__class_Ozero(A))|c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),B),c_Groups_Ozero__class_Ozero(A)).
% 0.16/0.50 Following clause subsumed by 357 during input processing: 0 [] {-} -class_Rings_Olinordered__ring__strict(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,c_Groups_Ozero__class_Ozero(A),B)| -c_Orderings_Oord__class_Oless(A,C,D).
% 0.16/0.50 Following clause subsumed by 344 during input processing: 0 [] {-} -class_Rings_Olinordered__ring__strict(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,B,c_Groups_Ozero__class_Ozero(A))| -c_Orderings_Oord__class_Oless(A,D,C).
% 0.16/0.50 Following clause subsumed by 345 during input processing: 0 [] {-} -class_Rings_Olinordered__ring__strict(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),D),C))| -c_Orderings_Oord__class_Oless(A,C,c_Groups_Ozero__class_Ozero(A))| -c_Orderings_Oord__class_Oless(A,D,B).
% 0.16/0.50 Following clause subsumed by 397 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).
% 0.16/0.50 Following clause subsumed by 330 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,B)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,B,c_Nat_OSuc(A))|B!=A.
% 0.16/0.50 Following clause subsumed by 404 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(A),B)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B).
% 0.16/0.50 Following clause subsumed by 406 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(A),B)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B).
% 0.16/0.50 Following clause subsumed by 407 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,c_Nat_OSuc(B))| -c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,B).
% 0.16/0.51 Following clause subsumed by 406 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(A),B).
% 0.16/0.51 Following clause subsumed by 404 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)| -c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(A),B).
% 0.16/0.51 Following clause subsumed by 417 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)).
% 0.16/0.51 Following clause subsumed by 414 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)).
% 0.16/0.51 Following clause subsumed by 413 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).
% 0.16/0.51 Following clause subsumed by 458 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_Rings_Oinverse__class_Odivide(A,C,B),D)| -c_Orderings_Oord__class_Oless(A,C,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),B)).
% 0.16/0.51 Following clause subsumed by 457 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,c_Rings_Oinverse__class_Odivide(A,D,B))| -c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),B),D).
% 0.16/0.51 Following clause subsumed by 250 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless__eq(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__eq(tc_Nat_Onat,B,C).
% 0.16/0.51 Following clause subsumed by 249 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless__eq(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),C),B))| -c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,C).
% 0.16/0.51 Following clause subsumed by 499 during input processing: 0 [flip.2] {-} -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)).
% 0.16/0.51 Following clause subsumed by 510 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__eq(A,c_Rings_Oinverse__class_Odivide(A,C,B),D)| -c_Orderings_Oord__class_Oless__eq(A,C,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),B)).
% 0.16/0.51 Following clause subsumed by 509 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__eq(A,C,c_Rings_Oinverse__class_Odivide(A,D,B))| -c_Orderings_Oord__class_Oless__eq(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),B),D).
% 0.16/0.51 Following clause subsumed by 535 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).
% 0.16/0.51 Following clause subsumed by 428 during input processing: 0 [] {-} -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.
% 0.16/0.51 Following clause subsumed by 489 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__eq(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__eq(tc_Nat_Onat,B,C).
% 0.16/0.51 Following clause subsumed by 250 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__eq(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__eq(tc_Nat_Onat,B,C).
% 0.16/0.51 Following clause subsumed by 418 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).
% 0.16/0.51 Following clause subsumed by 550 during input processing: 0 [] {-} -c_Rings_Odvd__class_Odvd(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),A),B),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),C),B))|B=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|c_Rings_Odvd__class_Odvd(tc_Nat_Onat,A,C).
% 0.16/0.51 Following clause subsumed by 321 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).
% 0.16/0.51 Following clause subsumed by 323 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).
% 0.16/0.51 Following clause subsumed by 322 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).
% 0.16/0.51 Following clause subsumed by 241 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.
% 0.16/0.51 Following clause subsumed by 556 during input processing: 0 [] {-} A=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)| -c_Rings_Odvd__class_Odvd(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),B),A),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),C),A))|c_Rings_Odvd__class_Odvd(tc_Int_Oint,B,C).
% 0.16/0.51 Following clause subsumed by 240 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.
% 0.16/0.51 Following clause subsumed by 242 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).
% 0.16/0.51 Following clause subsumed by 241 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.
% 0.16/0.51 Following clause subsumed by 413 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).
% 0.16/0.51 Following clause subsumed by 414 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).
% 0.16/0.51 Following clause subsumed by 576 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.
% 0.16/0.51 Following clause subsumed by 577 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).
% 0.16/0.51 Following clause subsumed by 589 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).
% 0.16/0.51 Following clause subsumed by 590 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).
% 0.16/0.51 Following clause subsumed by 600 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_Groups_Ouminus__class_Ouminus(A,C))| -c_Orderings_Oord__class_Oless__eq(A,C,B).
% 0.16/0.51 Following clause subsumed by 602 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).
% 0.16/0.51 Following clause subsumed by 603 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)).
% 0.16/0.51 Following clause subsumed by 604 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)).
% 0.16/0.51 Following clause subsumed by 605 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).
% 0.16/0.51 Following clause subsumed by 626 during input processing: 0 [] {-} -class_Orderings_Oord(A)| -c_Orderings_Oord__class_Oless__eq(tc_fun(B,A),C,D)|c_Orderings_Oord__class_Oless__eq(A,hAPP(C,E),hAPP(D,E)).
% 0.16/0.51 Following clause subsumed by 631 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -c_Orderings_Oord__class_Oless__eq(A,B,C)| -c_Orderings_Oord__class_Oless__eq(A,C,B)|C=B.
% 0.16/0.51 Following clause subsumed by 629 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -c_Orderings_Oord__class_Oless__eq(A,B,C)|c_Orderings_Oord__class_Oless__eq(A,C,B)|C!=B.
% 0.16/0.51 Following clause subsumed by 631 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -c_Orderings_Oord__class_Oless__eq(A,B,C)| -c_Orderings_Oord__class_Oless__eq(A,C,B)|B=C.
% 0.16/0.51 Following clause subsumed by 631 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -c_Orderings_Oord__class_Oless__eq(A,B,C)| -c_Orderings_Oord__class_Oless__eq(A,C,B)|C=B.
% 0.16/0.51 Following clause subsumed by 626 during input processing: 0 [] {-} -class_Orderings_Oord(A)| -c_Orderings_Oord__class_Oless__eq(tc_fun(B,A),C,D)|c_Orderings_Oord__class_Oless__eq(A,hAPP(C,E),hAPP(D,E)).
% 0.16/0.51 Following clause subsumed by 628 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_Orderings_Oord__class_Oless__eq(A,B,C)|c_Orderings_Oord__class_Oless__eq(A,C,B).
% 0.16/0.51 Following clause subsumed by 640 during input processing: 0 [] {-} -class_Orderings_Opreorder(A)| -c_Orderings_Oord__class_Oless(A,B,C)| -c_Orderings_Oord__class_Oless(A,C,B).
% 0.16/0.51 Following clause subsumed by 640 during input processing: 0 [] {-} -class_Orderings_Opreorder(A)| -c_Orderings_Oord__class_Oless(A,B,C)| -c_Orderings_Oord__class_Oless(A,C,B).
% 0.16/0.51 Following clause subsumed by 640 during input processing: 0 [] {-} -class_Orderings_Opreorder(A)| -c_Orderings_Oord__class_Oless(A,B,C)| -c_Orderings_Oord__class_Oless(A,C,B).
% 0.16/0.51 Following clause subsumed by 649 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -c_Orderings_Oord__class_Oless(A,B,C)|B!=C.
% 0.16/0.51 Following clause subsumed by 639 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|B=C|c_Orderings_Oord__class_Oless(A,B,C)|c_Orderings_Oord__class_Oless(A,C,B).
% 0.16/0.51 Following clause subsumed by 639 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_Orderings_Oord__class_Oless(A,B,C)|c_Orderings_Oord__class_Oless(A,C,B)|C=B.
% 0.16/0.51 Following clause subsumed by 639 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_Orderings_Oord__class_Oless(A,B,C)|B=C|c_Orderings_Oord__class_Oless(A,C,B).
% 0.16/0.51 Following clause subsumed by 639 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_Orderings_Oord__class_Oless(A,B,C)|c_Orderings_Oord__class_Oless(A,C,B)|B=C.
% 0.16/0.51 Following clause subsumed by 639 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|B=C|c_Orderings_Oord__class_Oless(A,B,C)|c_Orderings_Oord__class_Oless(A,C,B).
% 0.16/0.51 Following clause subsumed by 652 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|B!=C| -c_Orderings_Oord__class_Oless(A,B,C).
% 0.16/0.51 Following clause subsumed by 621 during input processing: 0 [] {-} -class_Groups_Ozero(A)|c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(A,B)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|B!=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(A)).
% 0.16/0.51 Following clause subsumed by 666 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -c_Orderings_Oord__class_Oless__eq(A,B,C)|c_Orderings_Oord__class_Oless(A,B,C)|B=C.
% 0.16/0.51 Following clause subsumed by 652 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -c_Orderings_Oord__class_Oless__eq(A,B,C)| -c_Orderings_Oord__class_Oless(A,B,C)|B!=C.
% 0.16/0.51 Following clause subsumed by 665 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C| -c_Orderings_Oord__class_Oless__eq(A,C,B)|c_Orderings_Oord__class_Oless(A,C,B).
% 0.16/0.51 Following clause subsumed by 666 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C| -c_Orderings_Oord__class_Oless__eq(A,B,C)|c_Orderings_Oord__class_Oless(A,B,C).
% 0.16/0.51 Following clause subsumed by 667 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_Orderings_Oord__class_Oless(A,B,C)| -c_Orderings_Oord__class_Oless__eq(A,B,C)|B=C.
% 0.16/0.51 Following clause subsumed by 671 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_Orderings_Oord__class_Oless(A,B,C)|c_Orderings_Oord__class_Oless__eq(A,C,B).
% 0.16/0.51 Following clause subsumed by 666 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -c_Orderings_Oord__class_Oless__eq(A,B,C)|c_Orderings_Oord__class_Oless(A,B,C)|B=C.
% 0.16/0.51 Following clause subsumed by 629 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|c_Orderings_Oord__class_Oless__eq(A,B,C)|B!=C.
% 0.16/0.51 Following clause subsumed by 668 during input processing: 0 [] {-} -class_Orderings_Opreorder(A)| -c_Orderings_Oord__class_Oless(A,B,C)|c_Orderings_Oord__class_Oless__eq(A,B,C).
% 0.16/0.51 Following clause subsumed by 672 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -c_Orderings_Oord__class_Oless(A,B,C)|c_Orderings_Oord__class_Oless__eq(A,B,C).
% 0.16/0.51 Following clause subsumed by 649 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -c_Orderings_Oord__class_Oless(A,B,C)|B!=C.
% 0.16/0.51 Following clause subsumed by 666 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|c_Orderings_Oord__class_Oless(A,B,C)| -c_Orderings_Oord__class_Oless__eq(A,B,C)|B=C.
% 0.16/0.51 Following clause subsumed by 671 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_Orderings_Oord__class_Oless__eq(A,B,C)|c_Orderings_Oord__class_Oless(A,C,B).
% 0.16/0.51 Following clause subsumed by 671 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_Orderings_Oord__class_Oless__eq(A,B,C)|c_Orderings_Oord__class_Oless(A,C,B).
% 0.16/0.52 Following clause subsumed by 669 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -c_Orderings_Oord__class_Oless__eq(A,B,C)| -c_Orderings_Oord__class_Oless(A,C,B).
% 0.16/0.52 Following clause subsumed by 671 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_Orderings_Oord__class_Oless(A,B,C)|c_Orderings_Oord__class_Oless__eq(A,C,B).
% 0.16/0.52 Following clause subsumed by 669 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -c_Orderings_Oord__class_Oless(A,B,C)| -c_Orderings_Oord__class_Oless__eq(A,C,B).
% 0.16/0.52 Following clause subsumed by 336 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,B).
% 0.16/0.52 Following clause subsumed by 700 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).
% 0.16/0.52 Following clause subsumed by 701 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).
% 0.16/0.52 Following clause subsumed by 702 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)).
% 0.16/0.52 Following clause subsumed by 703 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)).
% 0.16/0.52 Following clause subsumed by 704 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)).
% 0.16/0.52 Following clause subsumed by 705 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)).
% 0.16/0.52 Following clause subsumed by 657 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)).
% 0.16/0.52 Following clause subsumed by 714 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,A,B)|c_Nat__Transfer_Otsub(B,A)=c_Groups_Ominus__class_Ominus(tc_Int_Oint,B,A).
% 0.16/0.52 Following clause subsumed by 730 during input processing: 0 [] {-} -class_Lattices_Oboolean__algebra(A)|c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ouminus__class_Ouminus(A,B),c_Groups_Ouminus__class_Ouminus(A,C))| -c_Orderings_Oord__class_Oless__eq(A,C,B).
% 0.16/0.52 Following clause subsumed by 742 during input processing: 0 [] {-} -class_Lattices_Oab__semigroup__idem__mult(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),B)=B.
% 0.16/0.52 Following clause subsumed by 778 during input processing: 0 [] {-} -class_Rings_Olinordered__idom(A)|c_Groups_Osgn__class_Osgn(A,B)=c_Groups_Oone__class_Oone(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),B).
% 0.16/0.52 Following clause subsumed by 786 during input processing: 0 [] {-} -class_Rings_Olinordered__idom(A)|c_Groups_Osgn__class_Osgn(A,B)=c_Groups_Ouminus__class_Ouminus(A,c_Groups_Oone__class_Oone(A))| -c_Orderings_Oord__class_Oless(A,B,c_Groups_Ozero__class_Ozero(A)).
% 0.16/0.52 Following clause subsumed by 428 during input processing: 0 [flip.2] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,A))|c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,A),c_Groups_Oone__class_Oone(tc_Nat_Onat)))=c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,A).
% 0.16/0.52 Following clause subsumed by 802 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).
% 0.16/0.52 Following clause subsumed by 803 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).
% 0.16/0.52 Following clause subsumed by 669 during input processing: 0 [] {-} -class_Int_Onumber(A)| -class_Orderings_Olinorder(A)| -c_Orderings_Oord__class_Oless__eq(A,c_Int_Onumber__class_Onumber__of(A,B),c_Int_Onumber__class_Onumber__of(A,C))| -c_Orderings_Oord__class_Oless(A,c_Int_Onumber__class_Onumber__of(A,C),c_Int_Onumber__class_Onumber__of(A,B)).
% 0.16/0.52 Following clause subsumed by 671 during input processing: 0 [] {-} -class_Int_Onumber(A)| -class_Orderings_Olinorder(A)|c_Orderings_Oord__class_Oless__eq(A,c_Int_Onumber__class_Onumber__of(A,B),c_Int_Onumber__class_Onumber__of(A,C))|c_Orderings_Oord__class_Oless(A,c_Int_Onumber__class_Onumber__of(A,C),c_Int_Onumber__class_Onumber__of(A,B)).
% 0.16/0.52 Following clause subsumed by 810 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).
% 0.16/0.52 Following clause subsumed by 812 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).
% 0.16/0.52 Following clause subsumed by 821 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)).
% 0.16/0.52 Following clause subsumed by 851 during input processing: 0 [] {-} -class_Int_Onumber__ring(A)|c_Int_Onumber__class_Onumber__of(A,c_Groups_Oplus__class_Oplus(tc_Int_Oint,B,C))=c_Groups_Oplus__class_Oplus(A,c_Int_Onumber__class_Onumber__of(A,B),c_Int_Onumber__class_Onumber__of(A,C)).
% 0.16/0.52 Following clause subsumed by 865 during input processing: 0 [flip.2] {-} -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)).
% 0.16/0.52 Following clause subsumed by 868 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.
% 0.16/0.52 Following clause subsumed by 870 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.
% 0.16/0.52 Following clause subsumed by 881 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)).
% 0.16/0.52 Following clause subsumed by 882 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)).
% 0.16/0.52 Following clause subsumed by 891 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)).
% 0.16/0.53 Following clause subsumed by 888 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.
% 0.16/0.53 Following clause subsumed by 889 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.
% 0.16/0.53 Following clause subsumed by 890 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.
% 0.16/0.53 Following clause subsumed by 906 during input processing: 0 [flip.2] {-} -class_Int_Onumber__ring(A)|c_Int_Onumber__class_Onumber__of(A,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,B))=c_Groups_Ouminus__class_Ouminus(A,c_Int_Onumber__class_Onumber__of(A,B)).
% 0.16/0.53 Following clause subsumed by 146 during input processing: 0 [] {-} -class_Fields_Ofield__inverse__zero(A)| -class_Int_Onumber(A)|c_Rings_Oinverse__class_Odivide(A,B,c_Int_Onumber__class_Onumber__of(A,C))!=D|c_Int_Onumber__class_Onumber__of(A,C)=c_Groups_Ozero__class_Ozero(A)|B=hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),c_Int_Onumber__class_Onumber__of(A,C)).
% 0.16/0.53 Following clause subsumed by 147 during input processing: 0 [] {-} -class_Fields_Ofield__inverse__zero(A)| -class_Int_Onumber(A)|c_Rings_Oinverse__class_Odivide(A,B,c_Int_Onumber__class_Onumber__of(A,C))!=D|c_Int_Onumber__class_Onumber__of(A,C)!=c_Groups_Ozero__class_Ozero(A)|D=c_Groups_Ozero__class_Ozero(A).
% 0.16/0.53 Following clause subsumed by 148 during input processing: 0 [] {-} -class_Fields_Ofield__inverse__zero(A)| -class_Int_Onumber(A)|c_Rings_Oinverse__class_Odivide(A,B,c_Int_Onumber__class_Onumber__of(A,C))=D|c_Int_Onumber__class_Onumber__of(A,C)!=c_Groups_Ozero__class_Ozero(A)|D!=c_Groups_Ozero__class_Ozero(A).
% 0.16/0.53 Following clause subsumed by 149 during input processing: 0 [] {-} -class_Fields_Ofield__inverse__zero(A)| -class_Int_Onumber(A)|c_Rings_Oinverse__class_Odivide(A,B,c_Int_Onumber__class_Onumber__of(A,C))=D|B!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),c_Int_Onumber__class_Onumber__of(A,C))|c_Int_Onumber__class_Onumber__of(A,C)=c_Groups_Ozero__class_Ozero(A).
% 0.16/0.53 Following clause subsumed by 150 during input processing: 0 [] {-} -class_Fields_Ofield__inverse__zero(A)| -class_Int_Onumber(A)|c_Rings_Oinverse__class_Odivide(A,B,c_Int_Onumber__class_Onumber__of(A,C))=D|B!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),c_Int_Onumber__class_Onumber__of(A,C))|D!=c_Groups_Ozero__class_Ozero(A).
% 0.16/0.53 Following clause subsumed by 146 during input processing: 0 [] {-} -class_Fields_Ofield__inverse__zero(A)| -class_Int_Onumber(A)|c_Rings_Oinverse__class_Odivide(A,B,C)!=c_Int_Onumber__class_Onumber__of(A,D)|C=c_Groups_Ozero__class_Ozero(A)|B=hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(A,D)),C).
% 0.16/0.53 Following clause subsumed by 147 during input processing: 0 [] {-} -class_Fields_Ofield__inverse__zero(A)| -class_Int_Onumber(A)|c_Rings_Oinverse__class_Odivide(A,B,C)!=c_Int_Onumber__class_Onumber__of(A,D)|C!=c_Groups_Ozero__class_Ozero(A)|c_Int_Onumber__class_Onumber__of(A,D)=c_Groups_Ozero__class_Ozero(A).
% 0.16/0.53 Following clause subsumed by 148 during input processing: 0 [] {-} -class_Fields_Ofield__inverse__zero(A)| -class_Int_Onumber(A)|c_Rings_Oinverse__class_Odivide(A,B,C)=c_Int_Onumber__class_Onumber__of(A,D)|C!=c_Groups_Ozero__class_Ozero(A)|c_Int_Onumber__class_Onumber__of(A,D)!=c_Groups_Ozero__class_Ozero(A).
% 0.16/0.53 Following clause subsumed by 149 during input processing: 0 [] {-} -class_Fields_Ofield__inverse__zero(A)| -class_Int_Onumber(A)|c_Rings_Oinverse__class_Odivide(A,B,C)=c_Int_Onumber__class_Onumber__of(A,D)|B!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(A,D)),C)|C=c_Groups_Ozero__class_Ozero(A).
% 0.16/0.53 Following clause subsumed by 150 during input processing: 0 [] {-} -class_Fields_Ofield__inverse__zero(A)| -class_Int_Onumber(A)|c_Rings_Oinverse__class_Odivide(A,B,C)=c_Int_Onumber__class_Onumber__of(A,D)|B!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(A,D)),C)|c_Int_Onumber__class_Onumber__of(A,D)!=c_Groups_Ozero__class_Ozero(A).
% 0.16/0.53 Following clause subsumed by 151 during input processing: 0 [] {-} -class_Fields_Ofield__inverse__zero(A)| -class_Int_Onumber(A)|c_Int_Onumber__class_Onumber__of(A,B)!=c_Rings_Oinverse__class_Odivide(A,C,D)|D=c_Groups_Ozero__class_Ozero(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(A,B)),D)=C.
% 0.16/0.53 Following clause subsumed by 152 during input processing: 0 [] {-} -class_Fields_Ofield__inverse__zero(A)| -class_Int_Onumber(A)|c_Int_Onumber__class_Onumber__of(A,B)!=c_Rings_Oinverse__class_Odivide(A,C,D)|D!=c_Groups_Ozero__class_Ozero(A)|c_Int_Onumber__class_Onumber__of(A,B)=c_Groups_Ozero__class_Ozero(A).
% 0.16/0.53 Following clause subsumed by 153 during input processing: 0 [] {-} -class_Fields_Ofield__inverse__zero(A)| -class_Int_Onumber(A)|c_Int_Onumber__class_Onumber__of(A,B)=c_Rings_Oinverse__class_Odivide(A,C,D)|D!=c_Groups_Ozero__class_Ozero(A)|c_Int_Onumber__class_Onumber__of(A,B)!=c_Groups_Ozero__class_Ozero(A).
% 0.16/0.53 Following clause subsumed by 154 during input processing: 0 [] {-} -class_Fields_Ofield__inverse__zero(A)| -class_Int_Onumber(A)|c_Int_Onumber__class_Onumber__of(A,B)=c_Rings_Oinverse__class_Odivide(A,C,D)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(A,B)),D)!=C|D=c_Groups_Ozero__class_Ozero(A).
% 0.16/0.53 Following clause subsumed by 155 during input processing: 0 [] {-} -class_Fields_Ofield__inverse__zero(A)| -class_Int_Onumber(A)|c_Int_Onumber__class_Onumber__of(A,B)=c_Rings_Oinverse__class_Odivide(A,C,D)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(A,B)),D)!=C|c_Int_Onumber__class_Onumber__of(A,B)!=c_Groups_Ozero__class_Ozero(A).
% 0.16/0.53 Following clause subsumed by 151 during input processing: 0 [] {-} -class_Fields_Ofield__inverse__zero(A)| -class_Int_Onumber(A)|B!=c_Rings_Oinverse__class_Odivide(A,C,c_Int_Onumber__class_Onumber__of(A,D))|c_Int_Onumber__class_Onumber__of(A,D)=c_Groups_Ozero__class_Ozero(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),c_Int_Onumber__class_Onumber__of(A,D))=C.
% 0.16/0.53 Following clause subsumed by 152 during input processing: 0 [] {-} -class_Fields_Ofield__inverse__zero(A)| -class_Int_Onumber(A)|B!=c_Rings_Oinverse__class_Odivide(A,C,c_Int_Onumber__class_Onumber__of(A,D))|c_Int_Onumber__class_Onumber__of(A,D)!=c_Groups_Ozero__class_Ozero(A)|B=c_Groups_Ozero__class_Ozero(A).
% 0.16/0.53 Following clause subsumed by 153 during input processing: 0 [] {-} -class_Fields_Ofield__inverse__zero(A)| -class_Int_Onumber(A)|B=c_Rings_Oinverse__class_Odivide(A,C,c_Int_Onumber__class_Onumber__of(A,D))|c_Int_Onumber__class_Onumber__of(A,D)!=c_Groups_Ozero__class_Ozero(A)|B!=c_Groups_Ozero__class_Ozero(A).
% 0.16/0.53 Following clause subsumed by 154 during input processing: 0 [] {-} -class_Fields_Ofield__inverse__zero(A)| -class_Int_Onumber(A)|B=c_Rings_Oinverse__class_Odivide(A,C,c_Int_Onumber__class_Onumber__of(A,D))|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),c_Int_Onumber__class_Onumber__of(A,D))!=C|c_Int_Onumber__class_Onumber__of(A,D)=c_Groups_Ozero__class_Ozero(A).
% 0.16/0.53 Following clause subsumed by 155 during input processing: 0 [] {-} -class_Fields_Ofield__inverse__zero(A)| -class_Int_Onumber(A)|B=c_Rings_Oinverse__class_Odivide(A,C,c_Int_Onumber__class_Onumber__of(A,D))|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),c_Int_Onumber__class_Onumber__of(A,D))!=C|B!=c_Groups_Ozero__class_Ozero(A).
% 0.16/0.53 Following clause subsumed by 965 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)).
% 0.16/0.53 Following clause subsumed by 966 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)).
% 0.16/0.53 Following clause subsumed by 1001 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)).
% 0.16/0.53 Following clause subsumed by 1002 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)).
% 0.16/0.53 Following clause subsumed by 70 during input processing: 0 [] {-} -class_Power_Opower(A)| -class_Rings_Omult__zero(A)| -class_Rings_Ono__zero__divisors(A)| -class_Rings_Ozero__neq__one(A)|hAPP(hAPP(c_Power_Opower__class_Opower(A),B),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,C))!=c_Groups_Ozero__class_Ozero(A)|B=c_Groups_Ozero__class_Ozero(A).
% 0.16/0.53 Following clause subsumed by 71 during input processing: 0 [] {-} -class_Power_Opower(A)| -class_Rings_Omult__zero(A)| -class_Rings_Ono__zero__divisors(A)| -class_Rings_Ozero__neq__one(A)|hAPP(hAPP(c_Power_Opower__class_Opower(A),B),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,C))!=c_Groups_Ozero__class_Ozero(A)|c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,C)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.16/0.53 Following clause subsumed by 72 during input processing: 0 [] {-} -class_Power_Opower(A)| -class_Rings_Omult__zero(A)| -class_Rings_Ono__zero__divisors(A)| -class_Rings_Ozero__neq__one(A)|hAPP(hAPP(c_Power_Opower__class_Opower(A),B),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,C))=c_Groups_Ozero__class_Ozero(A)|B!=c_Groups_Ozero__class_Ozero(A)|c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,C)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.16/0.53 Following clause subsumed by 1007 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)).
% 0.16/0.53 Following clause subsumed by 321 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),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,B)))|c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,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).
% 0.16/0.53 Following clause subsumed by 323 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),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,B)))|c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,B)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.16/0.53 Following clause subsumed by 322 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),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,B)))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),A).
% 0.16/0.53 Following clause subsumed by 461 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)| -c_Orderings_Oord__class_Oless(A,c_Rings_Oinverse__class_Odivide(A,B,c_Int_Onumber__class_Onumber__of(A,C)),D)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(A,C))|c_Orderings_Oord__class_Oless(A,B,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),c_Int_Onumber__class_Onumber__of(A,C))).
% 0.16/0.53 Following clause subsumed by 462 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)| -c_Orderings_Oord__class_Oless(A,c_Rings_Oinverse__class_Odivide(A,B,c_Int_Onumber__class_Onumber__of(A,C)),D)|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(A,C))| -c_Orderings_Oord__class_Oless(A,c_Int_Onumber__class_Onumber__of(A,C),c_Groups_Ozero__class_Ozero(A))|c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),c_Int_Onumber__class_Onumber__of(A,C)),B).
% 0.16/0.53 Following clause subsumed by 463 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)| -c_Orderings_Oord__class_Oless(A,c_Rings_Oinverse__class_Odivide(A,B,c_Int_Onumber__class_Onumber__of(A,C)),D)|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(A,C))|c_Orderings_Oord__class_Oless(A,c_Int_Onumber__class_Onumber__of(A,C),c_Groups_Ozero__class_Ozero(A))|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),D).
% 0.16/0.53 Following clause subsumed by 464 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|c_Orderings_Oord__class_Oless(A,c_Rings_Oinverse__class_Odivide(A,B,c_Int_Onumber__class_Onumber__of(A,C)),D)|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(A,C))|c_Orderings_Oord__class_Oless(A,c_Int_Onumber__class_Onumber__of(A,C),c_Groups_Ozero__class_Ozero(A))| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),D).
% 0.16/0.53 Following clause subsumed by 465 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|c_Orderings_Oord__class_Oless(A,c_Rings_Oinverse__class_Odivide(A,B,c_Int_Onumber__class_Onumber__of(A,C)),D)|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(A,C))| -c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),c_Int_Onumber__class_Onumber__of(A,C)),B)| -c_Orderings_Oord__class_Oless(A,c_Int_Onumber__class_Onumber__of(A,C),c_Groups_Ozero__class_Ozero(A)).
% 0.16/0.53 Following clause subsumed by 466 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|c_Orderings_Oord__class_Oless(A,c_Rings_Oinverse__class_Odivide(A,B,c_Int_Onumber__class_Onumber__of(A,C)),D)|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(A,C))| -c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),c_Int_Onumber__class_Onumber__of(A,C)),B)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),D).
% 0.16/0.53 Following clause subsumed by 467 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|c_Orderings_Oord__class_Oless(A,c_Rings_Oinverse__class_Odivide(A,B,c_Int_Onumber__class_Onumber__of(A,C)),D)| -c_Orderings_Oord__class_Oless(A,B,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),c_Int_Onumber__class_Onumber__of(A,C)))| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(A,C)).
% 0.16/0.53 Following clause subsumed by 468 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|c_Orderings_Oord__class_Oless(A,c_Rings_Oinverse__class_Odivide(A,B,c_Int_Onumber__class_Onumber__of(A,C)),D)| -c_Orderings_Oord__class_Oless(A,B,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),c_Int_Onumber__class_Onumber__of(A,C)))|c_Orderings_Oord__class_Oless(A,c_Int_Onumber__class_Onumber__of(A,C),c_Groups_Ozero__class_Ozero(A))| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),D).
% 0.16/0.53 Following clause subsumed by 469 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|c_Orderings_Oord__class_Oless(A,c_Rings_Oinverse__class_Odivide(A,B,c_Int_Onumber__class_Onumber__of(A,C)),D)| -c_Orderings_Oord__class_Oless(A,B,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),c_Int_Onumber__class_Onumber__of(A,C)))| -c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),c_Int_Onumber__class_Onumber__of(A,C)),B)| -c_Orderings_Oord__class_Oless(A,c_Int_Onumber__class_Onumber__of(A,C),c_Groups_Ozero__class_Ozero(A)).
% 0.16/0.53 Following clause subsumed by 470 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|c_Orderings_Oord__class_Oless(A,c_Rings_Oinverse__class_Odivide(A,B,c_Int_Onumber__class_Onumber__of(A,C)),D)| -c_Orderings_Oord__class_Oless(A,B,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),c_Int_Onumber__class_Onumber__of(A,C)))| -c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),c_Int_Onumber__class_Onumber__of(A,C)),B)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),D).
% 0.16/0.53 Following clause subsumed by 461 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)| -c_Orderings_Oord__class_Oless(A,c_Rings_Oinverse__class_Odivide(A,B,C),c_Int_Onumber__class_Onumber__of(A,D))| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),C)|c_Orderings_Oord__class_Oless(A,B,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(A,D)),C)).
% 0.16/0.53 Following clause subsumed by 462 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)| -c_Orderings_Oord__class_Oless(A,c_Rings_Oinverse__class_Odivide(A,B,C),c_Int_Onumber__class_Onumber__of(A,D))|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),C)| -c_Orderings_Oord__class_Oless(A,C,c_Groups_Ozero__class_Ozero(A))|c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(A,D)),C),B).
% 0.16/0.53 Following clause subsumed by 463 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)| -c_Orderings_Oord__class_Oless(A,c_Rings_Oinverse__class_Odivide(A,B,C),c_Int_Onumber__class_Onumber__of(A,D))|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),C)|c_Orderings_Oord__class_Oless(A,C,c_Groups_Ozero__class_Ozero(A))|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(A,D)).
% 0.16/0.53 Following clause subsumed by 464 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|c_Orderings_Oord__class_Oless(A,c_Rings_Oinverse__class_Odivide(A,B,C),c_Int_Onumber__class_Onumber__of(A,D))|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),C)|c_Orderings_Oord__class_Oless(A,C,c_Groups_Ozero__class_Ozero(A))| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(A,D)).
% 0.16/0.53 Following clause subsumed by 465 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|c_Orderings_Oord__class_Oless(A,c_Rings_Oinverse__class_Odivide(A,B,C),c_Int_Onumber__class_Onumber__of(A,D))|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),c_Int_Onumber__class_Onumber__of(A,D)),C),B)| -c_Orderings_Oord__class_Oless(A,C,c_Groups_Ozero__class_Ozero(A)).
% 0.16/0.53 Following clause subsumed by 466 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|c_Orderings_Oord__class_Oless(A,c_Rings_Oinverse__class_Odivide(A,B,C),c_Int_Onumber__class_Onumber__of(A,D))|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),c_Int_Onumber__class_Onumber__of(A,D)),C),B)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(A,D)).
% 0.16/0.53 Following clause subsumed by 467 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|c_Orderings_Oord__class_Oless(A,c_Rings_Oinverse__class_Odivide(A,B,C),c_Int_Onumber__class_Onumber__of(A,D))| -c_Orderings_Oord__class_Oless(A,B,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(A,D)),C))| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),C).
% 0.16/0.53 Following clause subsumed by 468 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|c_Orderings_Oord__class_Oless(A,c_Rings_Oinverse__class_Odivide(A,B,C),c_Int_Onumber__class_Onumber__of(A,D))| -c_Orderings_Oord__class_Oless(A,B,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(A,D)),C))|c_Orderings_Oord__class_Oless(A,C,c_Groups_Ozero__class_Ozero(A))| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(A,D)).
% 0.16/0.53 Following clause subsumed by 469 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|c_Orderings_Oord__class_Oless(A,c_Rings_Oinverse__class_Odivide(A,B,C),c_Int_Onumber__class_Onumber__of(A,D))| -c_Orderings_Oord__class_Oless(A,B,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(A,D)),C))| -c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(A,D)),C),B)| -c_Orderings_Oord__class_Oless(A,C,c_Groups_Ozero__class_Ozero(A)).
% 0.16/0.53 Following clause subsumed by 470 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|c_Orderings_Oord__class_Oless(A,c_Rings_Oinverse__class_Odivide(A,B,C),c_Int_Onumber__class_Onumber__of(A,D))| -c_Orderings_Oord__class_Oless(A,B,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(A,D)),C))| -c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(A,D)),C),B)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(A,D)).
% 0.16/0.53 Following clause subsumed by 471 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)| -c_Orderings_Oord__class_Oless(A,c_Int_Onumber__class_Onumber__of(A,B),c_Rings_Oinverse__class_Odivide(A,C,D))| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),D)|c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(A,B)),D),C).
% 0.16/0.53 Following clause subsumed by 472 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)| -c_Orderings_Oord__class_Oless(A,c_Int_Onumber__class_Onumber__of(A,B),c_Rings_Oinverse__class_Odivide(A,C,D))|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),D)| -c_Orderings_Oord__class_Oless(A,D,c_Groups_Ozero__class_Ozero(A))|c_Orderings_Oord__class_Oless(A,C,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(A,B)),D)).
% 0.16/0.53 Following clause subsumed by 473 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)| -c_Orderings_Oord__class_Oless(A,c_Int_Onumber__class_Onumber__of(A,B),c_Rings_Oinverse__class_Odivide(A,C,D))|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),D)|c_Orderings_Oord__class_Oless(A,D,c_Groups_Ozero__class_Ozero(A))|c_Orderings_Oord__class_Oless(A,c_Int_Onumber__class_Onumber__of(A,B),c_Groups_Ozero__class_Ozero(A)).
% 0.16/0.53 Following clause subsumed by 474 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|c_Orderings_Oord__class_Oless(A,c_Int_Onumber__class_Onumber__of(A,B),c_Rings_Oinverse__class_Odivide(A,C,D))|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),D)|c_Orderings_Oord__class_Oless(A,D,c_Groups_Ozero__class_Ozero(A))| -c_Orderings_Oord__class_Oless(A,c_Int_Onumber__class_Onumber__of(A,B),c_Groups_Ozero__class_Ozero(A)).
% 0.16/0.53 Following clause subsumed by 475 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|c_Orderings_Oord__class_Oless(A,c_Int_Onumber__class_Onumber__of(A,B),c_Rings_Oinverse__class_Odivide(A,C,D))|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),D)| -c_Orderings_Oord__class_Oless(A,C,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(A,B)),D))| -c_Orderings_Oord__class_Oless(A,D,c_Groups_Ozero__class_Ozero(A)).
% 0.16/0.53 Following clause subsumed by 476 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|c_Orderings_Oord__class_Oless(A,c_Int_Onumber__class_Onumber__of(A,B),c_Rings_Oinverse__class_Odivide(A,C,D))|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),D)| -c_Orderings_Oord__class_Oless(A,C,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(A,B)),D))| -c_Orderings_Oord__class_Oless(A,c_Int_Onumber__class_Onumber__of(A,B),c_Groups_Ozero__class_Ozero(A)).
% 0.16/0.53 Following clause subsumed by 477 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|c_Orderings_Oord__class_Oless(A,c_Int_Onumber__class_Onumber__of(A,B),c_Rings_Oinverse__class_Odivide(A,C,D))| -c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(A,B)),D),C)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),D).
% 0.16/0.53 Following clause subsumed by 478 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|c_Orderings_Oord__class_Oless(A,c_Int_Onumber__class_Onumber__of(A,B),c_Rings_Oinverse__class_Odivide(A,C,D))| -c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(A,B)),D),C)|c_Orderings_Oord__class_Oless(A,D,c_Groups_Ozero__class_Ozero(A))| -c_Orderings_Oord__class_Oless(A,c_Int_Onumber__class_Onumber__of(A,B),c_Groups_Ozero__class_Ozero(A)).
% 0.16/0.53 Following clause subsumed by 479 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|c_Orderings_Oord__class_Oless(A,c_Int_Onumber__class_Onumber__of(A,B),c_Rings_Oinverse__class_Odivide(A,C,D))| -c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(A,B)),D),C)| -c_Orderings_Oord__class_Oless(A,C,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(A,B)),D))| -c_Orderings_Oord__class_Oless(A,D,c_Groups_Ozero__class_Ozero(A)).
% 0.16/0.53 Following clause subsumed by 480 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|c_Orderings_Oord__class_Oless(A,c_Int_Onumber__class_Onumber__of(A,B),c_Rings_Oinverse__class_Odivide(A,C,D))| -c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(A,B)),D),C)| -c_Orderings_Oord__class_Oless(A,C,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(A,B)),D))| -c_Orderings_Oord__class_Oless(A,c_Int_Onumber__class_Onumber__of(A,B),c_Groups_Ozero__class_Ozero(A)).
% 0.16/0.53 Following clause subsumed by 471 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)| -c_Orderings_Oord__class_Oless(A,B,c_Rings_Oinverse__class_Odivide(A,C,c_Int_Onumber__class_Onumber__of(A,D)))| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(A,D))|c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),c_Int_Onumber__class_Onumber__of(A,D)),C).
% 0.16/0.53 Following clause subsumed by 472 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)| -c_Orderings_Oord__class_Oless(A,B,c_Rings_Oinverse__class_Odivide(A,C,c_Int_Onumber__class_Onumber__of(A,D)))|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(A,D))| -c_Orderings_Oord__class_Oless(A,c_Int_Onumber__class_Onumber__of(A,D),c_Groups_Ozero__class_Ozero(A))|c_Orderings_Oord__class_Oless(A,C,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),c_Int_Onumber__class_Onumber__of(A,D))).
% 0.16/0.53 Following clause subsumed by 473 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)| -c_Orderings_Oord__class_Oless(A,B,c_Rings_Oinverse__class_Odivide(A,C,c_Int_Onumber__class_Onumber__of(A,D)))|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(A,D))|c_Orderings_Oord__class_Oless(A,c_Int_Onumber__class_Onumber__of(A,D),c_Groups_Ozero__class_Ozero(A))|c_Orderings_Oord__class_Oless(A,B,c_Groups_Ozero__class_Ozero(A)).
% 0.16/0.53 Following clause subsumed by 474 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|c_Orderings_Oord__class_Oless(A,B,c_Rings_Oinverse__class_Odivide(A,C,c_Int_Onumber__class_Onumber__of(A,D)))|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(A,D))|c_Orderings_Oord__class_Oless(A,c_Int_Onumber__class_Onumber__of(A,D),c_Groups_Ozero__class_Ozero(A))| -c_Orderings_Oord__class_Oless(A,B,c_Groups_Ozero__class_Ozero(A)).
% 0.16/0.53 Following clause subsumed by 475 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|c_Orderings_Oord__class_Oless(A,B,c_Rings_Oinverse__class_Odivide(A,C,c_Int_Onumber__class_Onumber__of(A,D)))|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(A,D))| -c_Orderings_Oord__class_Oless(A,C,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),c_Int_Onumber__class_Onumber__of(A,D)))| -c_Orderings_Oord__class_Oless(A,c_Int_Onumber__class_Onumber__of(A,D),c_Groups_Ozero__class_Ozero(A)).
% 0.16/0.53 Following clause subsumed by 476 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|c_Orderings_Oord__class_Oless(A,B,c_Rings_Oinverse__class_Odivide(A,C,c_Int_Onumber__class_Onumber__of(A,D)))|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(A,D))| -c_Orderings_Oord__class_Oless(A,C,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),c_Int_Onumber__class_Onumber__of(A,D)))| -c_Orderings_Oord__class_Oless(A,B,c_Groups_Ozero__class_Ozero(A)).
% 0.16/0.53 Following clause subsumed by 477 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|c_Orderings_Oord__class_Oless(A,B,c_Rings_Oinverse__class_Odivide(A,C,c_Int_Onumber__class_Onumber__of(A,D)))| -c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),c_Int_Onumber__class_Onumber__of(A,D)),C)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(A,D)).
% 0.16/0.53 Following clause subsumed by 478 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|c_Orderings_Oord__class_Oless(A,B,c_Rings_Oinverse__class_Odivide(A,C,c_Int_Onumber__class_Onumber__of(A,D)))| -c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),c_Int_Onumber__class_Onumber__of(A,D)),C)|c_Orderings_Oord__class_Oless(A,c_Int_Onumber__class_Onumber__of(A,D),c_Groups_Ozero__class_Ozero(A))| -c_Orderings_Oord__class_Oless(A,B,c_Groups_Ozero__class_Ozero(A)).
% 0.16/0.53 Following clause subsumed by 479 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|c_Orderings_Oord__class_Oless(A,B,c_Rings_Oinverse__class_Odivide(A,C,c_Int_Onumber__class_Onumber__of(A,D)))| -c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),c_Int_Onumber__class_Onumber__of(A,D)),C)| -c_Orderings_Oord__class_Oless(A,C,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),c_Int_Onumber__class_Onumber__of(A,D)))| -c_Orderings_Oord__class_Oless(A,c_Int_Onumber__class_Onumber__of(A,D),c_Groups_Ozero__class_Ozero(A)).
% 0.16/0.53 Following clause subsumed by 480 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|c_Orderings_Oord__class_Oless(A,B,c_Rings_Oinverse__class_Odivide(A,C,c_Int_Onumber__class_Onumber__of(A,D)))| -c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),c_Int_Onumber__class_Onumber__of(A,D)),C)| -c_Orderings_Oord__class_Oless(A,C,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),c_Int_Onumber__class_Onumber__of(A,D)))| -c_Orderings_Oord__class_Oless(A,B,c_Groups_Ozero__class_Ozero(A)).
% 0.16/0.53 Following clause subsumed by 182 during input processing: 0 [] {-} -class_Power_Opower(A)| -class_Rings_Osemiring__0(A)|c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,B)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hAPP(hAPP(c_Power_Opower__class_Opower(A),c_Groups_Ozero__class_Ozero(A)),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,B))=c_Groups_Oone__class_Oone(A).
% 0.16/0.53 Following clause subsumed by 157 during input processing: 0 [] {-} -class_Power_Opower(A)| -class_Rings_Osemiring__0(A)|c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,B)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hAPP(hAPP(c_Power_Opower__class_Opower(A),c_Groups_Ozero__class_Ozero(A)),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,B))=c_Groups_Ozero__class_Ozero(A).
% 0.16/0.53 Following clause subsumed by 513 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)| -c_Orderings_Oord__class_Oless__eq(A,c_Rings_Oinverse__class_Odivide(A,B,c_Int_Onumber__class_Onumber__of(A,C)),D)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(A,C))|c_Orderings_Oord__class_Oless__eq(A,B,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),c_Int_Onumber__class_Onumber__of(A,C))).
% 0.16/0.53 Following clause subsumed by 514 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)| -c_Orderings_Oord__class_Oless__eq(A,c_Rings_Oinverse__class_Odivide(A,B,c_Int_Onumber__class_Onumber__of(A,C)),D)|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(A,C))| -c_Orderings_Oord__class_Oless(A,c_Int_Onumber__class_Onumber__of(A,C),c_Groups_Ozero__class_Ozero(A))|c_Orderings_Oord__class_Oless__eq(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),c_Int_Onumber__class_Onumber__of(A,C)),B).
% 0.16/0.53 Following clause subsumed by 515 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)| -c_Orderings_Oord__class_Oless__eq(A,c_Rings_Oinverse__class_Odivide(A,B,c_Int_Onumber__class_Onumber__of(A,C)),D)|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(A,C))|c_Orderings_Oord__class_Oless(A,c_Int_Onumber__class_Onumber__of(A,C),c_Groups_Ozero__class_Ozero(A))|c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ozero__class_Ozero(A),D).
% 0.16/0.53 Following clause subsumed by 516 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|c_Orderings_Oord__class_Oless__eq(A,c_Rings_Oinverse__class_Odivide(A,B,c_Int_Onumber__class_Onumber__of(A,C)),D)|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(A,C))|c_Orderings_Oord__class_Oless(A,c_Int_Onumber__class_Onumber__of(A,C),c_Groups_Ozero__class_Ozero(A))| -c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ozero__class_Ozero(A),D).
% 0.16/0.53 Following clause subsumed by 517 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|c_Orderings_Oord__class_Oless__eq(A,c_Rings_Oinverse__class_Odivide(A,B,c_Int_Onumber__class_Onumber__of(A,C)),D)|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(A,C))| -c_Orderings_Oord__class_Oless__eq(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),c_Int_Onumber__class_Onumber__of(A,C)),B)| -c_Orderings_Oord__class_Oless(A,c_Int_Onumber__class_Onumber__of(A,C),c_Groups_Ozero__class_Ozero(A)).
% 0.16/0.53 Following clause subsumed by 518 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|c_Orderings_Oord__class_Oless__eq(A,c_Rings_Oinverse__class_Odivide(A,B,c_Int_Onumber__class_Onumber__of(A,C)),D)|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(A,C))| -c_Orderings_Oord__class_Oless__eq(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),c_Int_Onumber__class_Onumber__of(A,C)),B)| -c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ozero__class_Ozero(A),D).
% 0.16/0.53 Following clause subsumed by 519 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|c_Orderings_Oord__class_Oless__eq(A,c_Rings_Oinverse__class_Odivide(A,B,c_Int_Onumber__class_Onumber__of(A,C)),D)| -c_Orderings_Oord__class_Oless__eq(A,B,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),c_Int_Onumber__class_Onumber__of(A,C)))| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(A,C)).
% 0.16/0.53 Following clause subsumed by 520 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|c_Orderings_Oord__class_Oless__eq(A,c_Rings_Oinverse__class_Odivide(A,B,c_Int_Onumber__class_Onumber__of(A,C)),D)| -c_Orderings_Oord__class_Oless__eq(A,B,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),c_Int_Onumber__class_Onumber__of(A,C)))|c_Orderings_Oord__class_Oless(A,c_Int_Onumber__class_Onumber__of(A,C),c_Groups_Ozero__class_Ozero(A))| -c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ozero__class_Ozero(A),D).
% 0.16/0.53 Following clause subsumed by 521 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|c_Orderings_Oord__class_Oless__eq(A,c_Rings_Oinverse__class_Odivide(A,B,c_Int_Onumber__class_Onumber__of(A,C)),D)| -c_Orderings_Oord__class_Oless__eq(A,B,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),c_Int_Onumber__class_Onumber__of(A,C)))| -c_Orderings_Oord__class_Oless__eq(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),c_Int_Onumber__class_Onumber__of(A,C)),B)| -c_Orderings_Oord__class_Oless(A,c_Int_Onumber__class_Onumber__of(A,C),c_Groups_Ozero__class_Ozero(A)).
% 0.16/0.53 Following clause subsumed by 522 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|c_Orderings_Oord__class_Oless__eq(A,c_Rings_Oinverse__class_Odivide(A,B,c_Int_Onumber__class_Onumber__of(A,C)),D)| -c_Orderings_Oord__class_Oless__eq(A,B,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),c_Int_Onumber__class_Onumber__of(A,C)))| -c_Orderings_Oord__class_Oless__eq(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),c_Int_Onumber__class_Onumber__of(A,C)),B)| -c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ozero__class_Ozero(A),D).
% 0.16/0.53 Following clause subsumed by 513 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)| -c_Orderings_Oord__class_Oless__eq(A,c_Rings_Oinverse__class_Odivide(A,B,C),c_Int_Onumber__class_Onumber__of(A,D))| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),C)|c_Orderings_Oord__class_Oless__eq(A,B,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(A,D)),C)).
% 0.16/0.53 Following clause subsumed by 514 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)| -c_Orderings_Oord__class_Oless__eq(A,c_Rings_Oinverse__class_Odivide(A,B,C),c_Int_Onumber__class_Onumber__of(A,D))|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),C)| -c_Orderings_Oord__class_Oless(A,C,c_Groups_Ozero__class_Ozero(A))|c_Orderings_Oord__class_Oless__eq(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(A,D)),C),B).
% 0.16/0.53 Following clause subsumed by 515 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)| -c_Orderings_Oord__class_Oless__eq(A,c_Rings_Oinverse__class_Odivide(A,B,C),c_Int_Onumber__class_Onumber__of(A,D))|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),C)|c_Orderings_Oord__class_Oless(A,C,c_Groups_Ozero__class_Ozero(A))|c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(A,D)).
% 0.16/0.53 Following clause subsumed by 516 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|c_Orderings_Oord__class_Oless__eq(A,c_Rings_Oinverse__class_Odivide(A,B,C),c_Int_Onumber__class_Onumber__of(A,D))|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),C)|c_Orderings_Oord__class_Oless(A,C,c_Groups_Ozero__class_Ozero(A))| -c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(A,D)).
% 0.16/0.53 Following clause subsumed by 517 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|c_Orderings_Oord__class_Oless__eq(A,c_Rings_Oinverse__class_Odivide(A,B,C),c_Int_Onumber__class_Onumber__of(A,D))|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),C)| -c_Orderings_Oord__class_Oless__eq(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(A,D)),C),B)| -c_Orderings_Oord__class_Oless(A,C,c_Groups_Ozero__class_Ozero(A)).
% 0.16/0.53 Following clause subsumed by 518 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|c_Orderings_Oord__class_Oless__eq(A,c_Rings_Oinverse__class_Odivide(A,B,C),c_Int_Onumber__class_Onumber__of(A,D))|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),C)| -c_Orderings_Oord__class_Oless__eq(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(A,D)),C),B)| -c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(A,D)).
% 0.16/0.53 Following clause subsumed by 519 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|c_Orderings_Oord__class_Oless__eq(A,c_Rings_Oinverse__class_Odivide(A,B,C),c_Int_Onumber__class_Onumber__of(A,D))| -c_Orderings_Oord__class_Oless__eq(A,B,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(A,D)),C))| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),C).
% 0.16/0.53 Following clause subsumed by 520 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|c_Orderings_Oord__class_Oless__eq(A,c_Rings_Oinverse__class_Odivide(A,B,C),c_Int_Onumber__class_Onumber__of(A,D))| -c_Orderings_Oord__class_Oless__eq(A,B,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(A,D)),C))|c_Orderings_Oord__class_Oless(A,C,c_Groups_Ozero__class_Ozero(A))| -c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(A,D)).
% 0.16/0.53 Following clause subsumed by 521 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|c_Orderings_Oord__class_Oless__eq(A,c_Rings_Oinverse__class_Odivide(A,B,C),c_Int_Onumber__class_Onumber__of(A,D))| -c_Orderings_Oord__class_Oless__eq(A,B,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(A,D)),C))| -c_Orderings_Oord__class_Oless__eq(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(A,D)),C),B)| -c_Orderings_Oord__class_Oless(A,C,c_Groups_Ozero__class_Ozero(A)).
% 0.16/0.53 Following clause subsumed by 522 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|c_Orderings_Oord__class_Oless__eq(A,c_Rings_Oinverse__class_Odivide(A,B,C),c_Int_Onumber__class_Onumber__of(A,D))| -c_Orderings_Oord__class_Oless__eq(A,B,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(A,D)),C))| -c_Orderings_Oord__class_Oless__eq(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(A,D)),C),B)| -c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(A,D)).
% 0.16/0.53 Following clause subsumed by 523 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)| -c_Orderings_Oord__class_Oless__eq(A,c_Int_Onumber__class_Onumber__of(A,B),c_Rings_Oinverse__class_Odivide(A,C,D))| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),D)|c_Orderings_Oord__class_Oless__eq(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(A,B)),D),C).
% 0.16/0.53 Following clause subsumed by 524 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)| -c_Orderings_Oord__class_Oless__eq(A,c_Int_Onumber__class_Onumber__of(A,B),c_Rings_Oinverse__class_Odivide(A,C,D))|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),D)| -c_Orderings_Oord__class_Oless(A,D,c_Groups_Ozero__class_Ozero(A))|c_Orderings_Oord__class_Oless__eq(A,C,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(A,B)),D)).
% 0.16/0.53 Following clause subsumed by 525 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)| -c_Orderings_Oord__class_Oless__eq(A,c_Int_Onumber__class_Onumber__of(A,B),c_Rings_Oinverse__class_Odivide(A,C,D))|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),D)|c_Orderings_Oord__class_Oless(A,D,c_Groups_Ozero__class_Ozero(A))|c_Orderings_Oord__class_Oless__eq(A,c_Int_Onumber__class_Onumber__of(A,B),c_Groups_Ozero__class_Ozero(A)).
% 0.16/0.53 Following clause subsumed by 526 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|c_Orderings_Oord__class_Oless__eq(A,c_Int_Onumber__class_Onumber__of(A,B),c_Rings_Oinverse__class_Odivide(A,C,D))|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),D)|c_Orderings_Oord__class_Oless(A,D,c_Groups_Ozero__class_Ozero(A))| -c_Orderings_Oord__class_Oless__eq(A,c_Int_Onumber__class_Onumber__of(A,B),c_Groups_Ozero__class_Ozero(A)).
% 0.16/0.53 Following clause subsumed by 527 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|c_Orderings_Oord__class_Oless__eq(A,c_Int_Onumber__class_Onumber__of(A,B),c_Rings_Oinverse__class_Odivide(A,C,D))|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),D)| -c_Orderings_Oord__class_Oless__eq(A,C,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(A,B)),D))| -c_Orderings_Oord__class_Oless(A,D,c_Groups_Ozero__class_Ozero(A)).
% 0.16/0.53 Following clause subsumed by 528 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|c_Orderings_Oord__class_Oless__eq(A,c_Int_Onumber__class_Onumber__of(A,B),c_Rings_Oinverse__class_Odivide(A,C,D))|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),D)| -c_Orderings_Oord__class_Oless__eq(A,C,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(A,B)),D))| -c_Orderings_Oord__class_Oless__eq(A,c_Int_Onumber__class_Onumber__of(A,B),c_Groups_Ozero__class_Ozero(A)).
% 0.16/0.53 Following clause subsumed by 529 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|c_Orderings_Oord__class_Oless__eq(A,c_Int_Onumber__class_Onumber__of(A,B),c_Rings_Oinverse__class_Odivide(A,C,D))| -c_Orderings_Oord__class_Oless__eq(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(A,B)),D),C)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),D).
% 0.16/0.53 Following clause subsumed by 530 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|c_Orderings_Oord__class_Oless__eq(A,c_Int_Onumber__class_Onumber__of(A,B),c_Rings_Oinverse__class_Odivide(A,C,D))| -c_Orderings_Oord__class_Oless__eq(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(A,B)),D),C)|c_Orderings_Oord__class_Oless(A,D,c_Groups_Ozero__class_Ozero(A))| -c_Orderings_Oord__class_Oless__eq(A,c_Int_Onumber__class_Onumber__of(A,B),c_Groups_Ozero__class_Ozero(A)).
% 0.16/0.53 Following clause subsumed by 531 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|c_Orderings_Oord__class_Oless__eq(A,c_Int_Onumber__class_Onumber__of(A,B),c_Rings_Oinverse__class_Odivide(A,C,D))| -c_Orderings_Oord__class_Oless__eq(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(A,B)),D),C)| -c_Orderings_Oord__class_Oless__eq(A,C,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(A,B)),D))| -c_Orderings_Oord__class_Oless(A,D,c_Groups_Ozero__class_Ozero(A)).
% 0.16/0.53 Following clause subsumed by 532 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|c_Orderings_Oord__class_Oless__eq(A,c_Int_Onumber__class_Onumber__of(A,B),c_Rings_Oinverse__class_Odivide(A,C,D))| -c_Orderings_Oord__class_Oless__eq(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(A,B)),D),C)| -c_Orderings_Oord__class_Oless__eq(A,C,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(A,B)),D))| -c_Orderings_Oord__class_Oless__eq(A,c_Int_Onumber__class_Onumber__of(A,B),c_Groups_Ozero__class_Ozero(A)).
% 0.16/0.53 Following clause subsumed by 523 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)| -c_Orderings_Oord__class_Oless__eq(A,B,c_Rings_Oinverse__class_Odivide(A,C,c_Int_Onumber__class_Onumber__of(A,D)))| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(A,D))|c_Orderings_Oord__class_Oless__eq(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),c_Int_Onumber__class_Onumber__of(A,D)),C).
% 0.16/0.53 Following clause subsumed by 524 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)| -c_Orderings_Oord__class_Oless__eq(A,B,c_Rings_Oinverse__class_Odivide(A,C,c_Int_Onumber__class_Onumber__of(A,D)))|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(A,D))| -c_Orderings_Oord__class_Oless(A,c_Int_Onumber__class_Onumber__of(A,D),c_Groups_Ozero__class_Ozero(A))|c_Orderings_Oord__class_Oless__eq(A,C,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),c_Int_Onumber__class_Onumber__of(A,D))).
% 0.16/0.53 Following clause subsumed by 525 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)| -c_Orderings_Oord__class_Oless__eq(A,B,c_Rings_Oinverse__class_Odivide(A,C,c_Int_Onumber__class_Onumber__of(A,D)))|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(A,D))|c_Orderings_Oord__class_Oless(A,c_Int_Onumber__class_Onumber__of(A,D),c_Groups_Ozero__class_Ozero(A))|c_Orderings_Oord__class_Oless__eq(A,B,c_Groups_Ozero__class_Ozero(A)).
% 0.16/0.53 Following clause subsumed by 526 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|c_Orderings_Oord__class_Oless__eq(A,B,c_Rings_Oinverse__class_Odivide(A,C,c_Int_Onumber__class_Onumber__of(A,D)))|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(A,D))|c_Orderings_Oord__class_Oless(A,c_Int_Onumber__class_Onumber__of(A,D),c_Groups_Ozero__class_Ozero(A))| -c_Orderings_Oord__class_Oless__eq(A,B,c_Groups_Ozero__class_Ozero(A)).
% 0.16/0.53 Following clause subsumed by 527 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|c_Orderings_Oord__class_Oless__eq(A,B,c_Rings_Oinverse__class_Odivide(A,C,c_Int_Onumber__class_Onumber__of(A,D)))|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(A,D))| -c_Orderings_Oord__class_Oless__eq(A,C,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),c_Int_Onumber__class_Onumber__of(A,D)))| -c_Orderings_Oord__class_Oless(A,c_Int_Onumber__class_Onumber__of(A,D),c_Groups_Ozero__class_Ozero(A)).
% 0.16/0.54 Following clause subsumed by 528 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|c_Orderings_Oord__class_Oless__eq(A,B,c_Rings_Oinverse__class_Odivide(A,C,c_Int_Onumber__class_Onumber__of(A,D)))|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(A,D))| -c_Orderings_Oord__class_Oless__eq(A,C,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),c_Int_Onumber__class_Onumber__of(A,D)))| -c_Orderings_Oord__class_Oless__eq(A,B,c_Groups_Ozero__class_Ozero(A)).
% 0.16/0.54 Following clause subsumed by 529 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|c_Orderings_Oord__class_Oless__eq(A,B,c_Rings_Oinverse__class_Odivide(A,C,c_Int_Onumber__class_Onumber__of(A,D)))| -c_Orderings_Oord__class_Oless__eq(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),c_Int_Onumber__class_Onumber__of(A,D)),C)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(A,D)).
% 0.16/0.54 Following clause subsumed by 530 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|c_Orderings_Oord__class_Oless__eq(A,B,c_Rings_Oinverse__class_Odivide(A,C,c_Int_Onumber__class_Onumber__of(A,D)))| -c_Orderings_Oord__class_Oless__eq(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),c_Int_Onumber__class_Onumber__of(A,D)),C)|c_Orderings_Oord__class_Oless(A,c_Int_Onumber__class_Onumber__of(A,D),c_Groups_Ozero__class_Ozero(A))| -c_Orderings_Oord__class_Oless__eq(A,B,c_Groups_Ozero__class_Ozero(A)).
% 0.16/0.54 Following clause subsumed by 531 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|c_Orderings_Oord__class_Oless__eq(A,B,c_Rings_Oinverse__class_Odivide(A,C,c_Int_Onumber__class_Onumber__of(A,D)))| -c_Orderings_Oord__class_Oless__eq(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),c_Int_Onumber__class_Onumber__of(A,D)),C)| -c_Orderings_Oord__class_Oless__eq(A,C,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),c_Int_Onumber__class_Onumber__of(A,D)))| -c_Orderings_Oord__class_Oless(A,c_Int_Onumber__class_Onumber__of(A,D),c_Groups_Ozero__class_Ozero(A)).
% 0.16/0.54 Following clause subsumed by 532 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|c_Orderings_Oord__class_Oless__eq(A,B,c_Rings_Oinverse__class_Odivide(A,C,c_Int_Onumber__class_Onumber__of(A,D)))| -c_Orderings_Oord__class_Oless__eq(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),c_Int_Onumber__class_Onumber__of(A,D)),C)| -c_Orderings_Oord__class_Oless__eq(A,C,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),c_Int_Onumber__class_Onumber__of(A,D)))| -c_Orderings_Oord__class_Oless__eq(A,B,c_Groups_Ozero__class_Ozero(A)).
% 0.16/0.54 Following clause subsumed by 1067 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,B),C)|c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,C).
% 0.16/0.54 Following clause subsumed by 1066 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,B),C)|c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,B,C).
% 0.16/0.54 Following clause subsumed by 1062 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,B)|c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,B,C)).
% 0.16/0.54 Following clause subsumed by 1063 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,B)|c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,C,B)).
% 0.16/0.54 Following clause subsumed by 1072 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)).
% 0.16/0.54 Following clause subsumed by 1073 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)).
% 0.16/0.54 Following clause subsumed by 1093 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,B)|c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,B,A),C)=c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,B,C),A).
% 0.41/0.61 Following clause subsumed by 1095 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,B)|c_Groups_Oplus__class_Oplus(tc_Nat_Onat,C,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,B,A))=c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,C,B),A).
% 0.41/0.61 Following clause subsumed by 1114 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.
% 0.41/0.61 Following clause subsumed by 1115 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.
% 0.41/0.61 Following clause subsumed by 1122 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))).
% 0.41/0.61 Following clause subsumed by 1123 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)).
% 0.41/0.61 182 back subsumes 156.
% 0.41/0.61 241 back subsumes 196.
% 0.41/0.61 246 back subsumes 208.
% 0.41/0.61 250 back subsumes 213.
% 0.41/0.61 309 back subsumes 194.
% 0.41/0.61 309 back subsumes 192.
% 0.41/0.61 425 back subsumes 424.
% 0.41/0.61 499 back subsumes 497.
% 0.41/0.61 500 back subsumes 496.
% 0.41/0.61 554 back subsumes 549.
% 0.41/0.61 652 back subsumes 650.
% 0.41/0.61 1072 back subsumes 1047.
% 0.41/0.61 1073 back subsumes 1046.
% 0.41/0.61 1227 back subsumes 1222.
% 0.41/0.61 Following clause subsumed by 1052 during input processing: 0 [copy,1417,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).
% 0.41/0.61 1422 back subsumes 1421.
% 0.41/0.61
% 0.41/0.61 ------------> process sos:
% 0.41/0.61 Following clause subsumed by 1435 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____),v_na____).
% 0.41/0.61 Following clause subsumed by 1470 during input processing: 0 [demod,1456] {-} c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Polynomial_Odegree(tc_Complex_Ocomplex,v_s____),A).
% 0.41/0.61 Following clause subsumed by 1525 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).
% 0.41/0.61 Following clause subsumed by 1527 during input processing: 0 [demod,1456,1456] {-} A=c_Polynomial_Odegree(tc_Complex_Ocomplex,v_s____)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(tc_Complex_Ocomplex,v_s____),A).
% 0.41/0.61 Following clause subsumed by 1559 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 0.41/0.61 Following clause subsumed by 1477 during input processing: 0 [copy,1477,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).
% 0.41/0.61 1499 back subsumes 1276.
% 0.41/0.61 Following clause subsumed by 1503 during input processing: 0 [copy,1503,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).
% 0.41/0.61 1525 back subsumes 1524.
% 0.41/0.61 Following clause subsumed by 1550 during input processing: 0 [copy,1550,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).
% 0.41/0.61 Following clause subsumed by 1583 during input processing: 0 [copy,1583,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)).
% 0.41/0.61 Following clause subsumed by 1584 during input processing: 0 [copy,1584,flip.1] {-} c_Groups_Oplus__class_Oplus(tc_Int_Oint,A,B)=c_Groups_Oplus__class_Oplus(tc_Int_Oint,B,A).
% 0.41/0.61 Following clause subsumed by 1799 during input processing: 0 [copy,1640,flip.1] {-} c_Groups_Ominus__class_Ominus(tc_Int_Oint,A,B)=c_Groups_Ominus__class_Ominus(tc_Int_Oint,A,B).
% 0.41/0.61 Following clause subsumed by 1799 during input processing: 0 [copy,1799,flip.1] {-} A=A.
% 0.41/0.61 1799 back subsumes 1640.
% 0.41/0.61 1799 back subsumes 1424.
% 0.41/0.61 1799 back subsumes 1423.
% 0.43/0.62 1799 back subsumes 1395.
% 0.43/0.62 1799 back subsumes 1372.
% 0.43/0.62 1799 back subsumes 1370.
% 0.43/0.62 1799 back subsumes 1367.
% 0.43/0.62 1799 back subsumes 1366.
% 0.43/0.62 1799 back subsumes 1279.
% 0.43/0.62 1799 back subsumes 1278.
% 0.43/0.62 1799 back subsumes 1274.
% 0.43/0.62 1799 back subsumes 1273.
% 0.43/0.62 1799 back subsumes 1269.
% 0.43/0.62 1799 back subsumes 1260.
% 0.43/0.62 Following clause subsumed by 1515 during input processing: 0 [copy,1942,flip.1] {-} c_Groups_Ominus__class_Ominus(tc_Nat_Onat,A,A)=c_Polynomial_Odegree(tc_Complex_Ocomplex,v_s____).
% 0.43/0.62 Following clause subsumed by 1973 during input processing: 0 [copy,1943,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).
% 0.43/0.62 Following clause subsumed by 1571 during input processing: 0 [copy,1944,flip.1] {-} c_Groups_Ominus__class_Ominus(tc_Nat_Onat,A,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,B))=c_Polynomial_Odegree(tc_Complex_Ocomplex,v_s____).
% 0.43/0.62 Following clause subsumed by 1954 during input processing: 0 [copy,1949,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).
% 0.43/0.62 Following clause subsumed by 1949 during input processing: 0 [copy,1954,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)).
% 0.43/0.62 Following clause subsumed by 1960 during input processing: 0 [copy,1955,flip.1] {-} c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,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))).
% 0.43/0.62 Following clause subsumed by 1955 during input processing: 0 [copy,1960,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,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,c_Groups_Oone__class_Oone(tc_Nat_Onat)),B).
% 0.43/0.62 Following clause subsumed by 1618 during input processing: 0 [copy,1961,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)).
% 0.43/0.62 Following clause subsumed by 1943 during input processing: 0 [copy,1973,flip.1] {-} 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)=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))).
% 0.43/0.62 Following clause subsumed by 1635 during input processing: 0 [copy,2015,flip.1] {-} 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).
% 0.43/0.62 Following clause subsumed by 1636 during input processing: 0 [copy,2016,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).
% 0.43/0.62 Following clause subsumed by 1962 during input processing: 0 [copy,2020,flip.1] {-} c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,B),c_Groups_Oone__class_Oone(tc_Nat_Onat))=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,c_Groups_Oone__class_Oone(tc_Nat_Onat)),B).
% 0.43/0.62
% 0.43/0.62 ======= end of input processing =======
% 0.44/0.63
% 0.44/0.63 SEGMENTATION FAULT!! This is probably caused by a
% 0.44/0.63 bug in Otter. Please send copy of the input file to
% 0.44/0.63 otter@mcs.anl.gov, let us know what version of Otter you are
% 0.44/0.63 using, and send any other info that might be useful.
% 0.44/0.63
% 0.44/0.63
% 0.44/0.63 SEGMENTATION FAULT!! This is probably caused by a
% 0.44/0.63 bug in Otter. Please send copy of the input file to
% 0.44/0.63 otter@mcs.anl.gov, let us know what version of Otter you are
% 0.44/0.63 using, and send any other info that might be useful.
% 0.44/0.63
% 0.44/0.63
% 0.44/0.63 The job finished Mon Jun 6 04:54:55 2022
%------------------------------------------------------------------------------