TSTP Solution File: SWW209+1 by SOS---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : SWW209+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n021.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 01:26:21 EDT 2022
% Result : Unknown 0.45s 0.66s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : SWW209+1 : TPTP v8.1.0. Released v5.2.0.
% 0.13/0.14 % Command : sos-script %s
% 0.13/0.35 % Computer : n021.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Sat Jun 4 08:27:48 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.54 ----- Otter 3.2, August 2001 -----
% 0.20/0.54 The process was started by sandbox2 on n021.cluster.edu,
% 0.20/0.54 Sat Jun 4 08:27:48 2022
% 0.20/0.54 The command was "./sos". The process ID is 5439.
% 0.20/0.54
% 0.20/0.54 set(prolog_style_variables).
% 0.20/0.54 set(auto).
% 0.20/0.54 dependent: set(auto1).
% 0.20/0.54 dependent: set(process_input).
% 0.20/0.54 dependent: clear(print_kept).
% 0.20/0.54 dependent: clear(print_new_demod).
% 0.20/0.54 dependent: clear(print_back_demod).
% 0.20/0.54 dependent: clear(print_back_sub).
% 0.20/0.54 dependent: set(control_memory).
% 0.20/0.54 dependent: assign(max_mem, 12000).
% 0.20/0.54 dependent: assign(pick_given_ratio, 4).
% 0.20/0.54 dependent: assign(stats_level, 1).
% 0.20/0.54 dependent: assign(pick_semantic_ratio, 3).
% 0.20/0.54 dependent: assign(sos_limit, 5000).
% 0.20/0.54 dependent: assign(max_weight, 60).
% 0.20/0.54 clear(print_given).
% 0.20/0.54
% 0.20/0.54 formula_list(usable).
% 0.20/0.54
% 0.20/0.54 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=7.
% 0.20/0.54
% 0.20/0.54 This ia a non-Horn set with equality. The strategy will be
% 0.20/0.54 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.20/0.54 unit deletion, with positive clauses in sos and nonpositive
% 0.20/0.54 clauses in usable.
% 0.20/0.54
% 0.20/0.54 dependent: set(knuth_bendix).
% 0.20/0.54 dependent: set(para_from).
% 0.20/0.54 dependent: set(para_into).
% 0.20/0.54 dependent: clear(para_from_right).
% 0.20/0.54 dependent: clear(para_into_right).
% 0.20/0.54 dependent: set(para_from_vars).
% 0.20/0.54 dependent: set(eq_units_both_ways).
% 0.20/0.54 dependent: set(dynamic_demod_all).
% 0.20/0.54 dependent: set(dynamic_demod).
% 0.20/0.54 dependent: set(order_eq).
% 0.20/0.54 dependent: set(back_demod).
% 0.20/0.54 dependent: set(lrpo).
% 0.20/0.54 dependent: set(hyper_res).
% 0.20/0.54 dependent: set(unit_deletion).
% 0.20/0.54 dependent: set(factor).
% 0.20/0.54
% 0.20/0.54 ------------> process usable:
% 0.20/0.54 Following clause subsumed by 6 during input processing: 0 [] {-} hAPP(c_Fun_Ocomp(A,B,C,D),E)!=hAPP(c_Fun_Ocomp(F,B,C,G),H)|hAPP(D,hAPP(E,I))=hAPP(G,hAPP(H,I)).
% 0.20/0.54 Following clause subsumed by 7 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,A).
% 0.20/0.54 Following clause subsumed by 9 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|B!=A.
% 0.20/0.54 Following clause subsumed by 8 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|A!=B.
% 0.20/0.54 Following clause subsumed by 13 during input processing: 0 [] {-} -class_Orderings_Opreorder(A)| -c_Orderings_Oord__class_Oless(A,B,C)| -c_Orderings_Oord__class_Oless(A,C,B).
% 0.20/0.54 Following clause subsumed by 12 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).
% 0.20/0.54 Following clause subsumed by 12 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.
% 0.20/0.54 Following clause subsumed by 23 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -c_Orderings_Oord__class_Oless(A,B,C)|B!=C.
% 0.20/0.54 Following clause subsumed by 12 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).
% 0.20/0.54 Following clause subsumed by 12 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.
% 0.20/0.54 Following clause subsumed by 23 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.
% 0.20/0.54 Following clause subsumed by 12 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).
% 0.20/0.54 Following clause subsumed by 13 during input processing: 0 [] {-} -class_Orderings_Opreorder(A)| -c_Orderings_Oord__class_Oless(A,B,C)| -c_Orderings_Oord__class_Oless(A,C,B).
% 0.20/0.54 Following clause subsumed by 13 during input processing: 0 [] {-} -class_Orderings_Opreorder(A)| -c_Orderings_Oord__class_Oless(A,B,C)| -c_Orderings_Oord__class_Oless(A,C,B).
% 0.20/0.54 Following clause subsumed by 26 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -c_Orderings_Oord__class_Oless(A,B,C)|B!=C.
% 0.20/0.54 Following clause subsumed by 36 during input processing: 0 [] {-} -class_Rings_Olinordered__semidom(A)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,B,C)|c_Orderings_Oord__class_Oless(A,hAPP(c_Nat_Osemiring__1__class_Oof__nat(A),B),hAPP(c_Nat_Osemiring__1__class_Oof__nat(A),C)).
% 0.20/0.54 Following clause subsumed by 35 during input processing: 0 [] {-} -class_Rings_Olinordered__semidom(A)| -c_Orderings_Oord__class_Oless(A,hAPP(c_Nat_Osemiring__1__class_Oof__nat(A),B),hAPP(c_Nat_Osemiring__1__class_Oof__nat(A),C))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,B,C).
% 0.20/0.54 Following clause subsumed by 40 during input processing: 0 [] {-} -class_SEQ_Ocomplete__space(A)| -c_SEQ_OCauchy(A,B)|c_SEQ_Oconvergent(A,B).
% 0.20/0.54 Following clause subsumed by 42 during input processing: 0 [] {-} c_Nat_OSuc(A)!=c_Nat_OSuc(B)|A=B.
% 0.20/0.54 Following clause subsumed by 47 during input processing: 0 [flip.1] {-} c_Nat_OSuc(A)!=A.
% 0.20/0.54 Following clause subsumed by 52 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.
% 0.20/0.54 Following clause subsumed by 50 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).
% 0.20/0.54 Following clause subsumed by 38 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).
% 0.20/0.54 Following clause subsumed by 52 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.
% 0.20/0.54 Following clause subsumed by 55 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).
% 0.20/0.54 Following clause subsumed by 63 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),A),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B).
% 0.20/0.54 Following clause subsumed by 64 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),A),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B).
% 0.20/0.54 Following clause subsumed by 75 during input processing: 0 [] {-} hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),A)!=hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B)|A=B.
% 0.20/0.54 Following clause subsumed by 76 during input processing: 0 [] {-} hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),A)=hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B)|A!=B.
% 0.20/0.54 Following clause subsumed by 80 during input processing: 0 [flip.1] {-} c_Nat_OSuc(A)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.20/0.54 Following clause subsumed by 80 during input processing: 0 [] {-} c_Nat_OSuc(A)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.20/0.54 Following clause subsumed by 80 during input processing: 0 [] {-} c_Nat_OSuc(A)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.20/0.54 Following clause subsumed by 80 during input processing: 0 [flip.1] {-} c_Nat_OSuc(A)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.20/0.54 Following clause subsumed by 80 during input processing: 0 [] {-} c_Nat_OSuc(A)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.20/0.54 Following clause subsumed by 74 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 0.20/0.54 Following clause subsumed by 9 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).
% 0.20/0.54 Following clause subsumed by 74 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 0.20/0.54 Following clause subsumed by 88 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).
% 0.20/0.54 Following clause subsumed by 139 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).
% 0.20/0.54 Following clause subsumed by 141 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.
% 0.20/0.54 Following clause subsumed by 147 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.
% 0.20/0.54 Following clause subsumed by 149 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.
% 0.20/0.54 Following clause subsumed by 171 during input processing: 0 [] {-} -class_Groups_Olinordered__ab__group__add(A)|c_Groups_Ouminus__class_Ouminus(A,B)!=B|B=c_Groups_Ozero__class_Ozero(A).
% 0.20/0.54 Following clause subsumed by 173 during input processing: 0 [] {-} -class_Groups_Olinordered__ab__group__add(A)|c_Groups_Ouminus__class_Ouminus(A,B)=B|B!=c_Groups_Ozero__class_Ozero(A).
% 0.20/0.54 Following clause subsumed by 179 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).
% 0.20/0.54 Following clause subsumed by 180 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)).
% 0.20/0.54 Following clause subsumed by 187 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).
% 0.20/0.54 Following clause subsumed by 188 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).
% 0.20/0.54 Following clause subsumed by 202 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).
% 0.20/0.54 Following clause subsumed by 208 during input processing: 0 [flip.2] {-} -class_Rings_Ozero__neq__one(A)|c_Groups_Ozero__class_Ozero(A)!=c_Groups_Oone__class_Oone(A).
% 0.20/0.54 Following clause subsumed by 227 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).
% 0.20/0.54 Following clause subsumed by 233 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)).
% 0.20/0.54 Following clause subsumed by 240 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).
% 0.20/0.54 Following clause subsumed by 227 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).
% 0.20/0.54 Following clause subsumed by 228 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).
% 0.20/0.54 Following clause subsumed by 271 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)).
% 0.20/0.54 Following clause subsumed by 279 during input processing: 0 [flip.1] {-} 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).
% 0.20/0.54 Following clause subsumed by 280 during input processing: 0 [flip.1] {-} 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).
% 0.20/0.54 Following clause subsumed by 281 during input processing: 0 [flip.1] {-} 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).
% 0.20/0.54 Following clause subsumed by 299 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)).
% 0.20/0.54 Following clause subsumed by 300 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)).
% 0.20/0.54 Following clause subsumed by 290 during input processing: 0 [] {-} hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(A)),B)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(A)),C)|B!=C.
% 0.20/0.54 Following clause subsumed by 299 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,B))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),A).
% 0.20/0.54 Following clause subsumed by 300 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,B))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),B).
% 0.20/0.54 Following clause subsumed by 326 during input processing: 0 [] {-} 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),C),B))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),B)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,C).
% 0.20/0.54 Following clause subsumed by 325 during input processing: 0 [] {-} 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,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),A)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,B,C).
% 0.20/0.54 Following clause subsumed by 330 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).
% 0.20/0.54 Following clause subsumed by 342 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)).
% 0.20/0.54 Following clause subsumed by 347 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)).
% 0.20/0.54 Following clause subsumed by 350 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).
% 0.20/0.54 Following clause subsumed by 352 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).
% 0.20/0.54 Following clause subsumed by 365 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)).
% 0.20/0.54 Following clause subsumed by 364 during input processing: 0 [] {-} -class_Rings_Ocomm__semiring__1(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)).
% 0.20/0.54 Following clause subsumed by 360 during input processing: 0 [] {-} -class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(A)|B=C|D=E|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),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),C),D)).
% 0.20/0.54 Following clause subsumed by 361 during input processing: 0 [] {-} -class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(A)|B!=C|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),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),C),D)).
% 0.20/0.54 Following clause subsumed by 362 during input processing: 0 [] {-} -class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(A)|B!=C|c_Groups_Oplus__class_Oplus(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),B),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),E),C))=c_Groups_Oplus__class_Oplus(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),E),B)).
% 0.20/0.54 Following clause subsumed by 366 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)).
% 0.20/0.54 Following clause subsumed by 272 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)).
% 0.20/0.54 Following clause subsumed by 290 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.
% 0.20/0.54 Following clause subsumed by 330 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).
% 0.20/0.54 Following clause subsumed by 325 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).
% 0.20/0.54 Following clause subsumed by 289 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.
% 0.20/0.54 Following clause subsumed by 291 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).
% 0.20/0.54 Following clause subsumed by 290 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.
% 0.20/0.54 Following clause subsumed by 383 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,B),C))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,C),B))|B=C.
% 0.20/0.54 Following clause subsumed by 383 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,B),C))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,C),B))|C=B.
% 0.20/0.54 Following clause subsumed by 381 during input processing: 0 [] {-} -class_Orderings_Oord(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(B,A),C),D))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,hAPP(C,E)),hAPP(D,E))).
% 0.20/0.54 Following clause subsumed by 383 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,B),C))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,C),B)).
% 0.20/0.54 Following clause subsumed by 380 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,B),C))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,C),B)).
% 0.20/0.54 Following clause subsumed by 381 during input processing: 0 [] {-} -class_Orderings_Oord(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(B,A),C),D))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,hAPP(C,E)),hAPP(D,E))).
% 0.20/0.54 Following clause subsumed by 394 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),A)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),B)).
% 0.20/0.54 Following clause subsumed by 395 during input processing: 0 [] {-} hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),A)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),B)).
% 0.20/0.54 Following clause subsumed by 401 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,B),C))|c_Orderings_Oord__class_Oless(A,B,C)|B=C.
% 0.20/0.54 Following clause subsumed by 23 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,B),C))| -c_Orderings_Oord__class_Oless(A,B,C)|B!=C.
% 0.20/0.54 Following clause subsumed by 400 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,C),B))|c_Orderings_Oord__class_Oless(A,C,B).
% 0.20/0.54 Following clause subsumed by 401 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,B),C))|c_Orderings_Oord__class_Oless(A,B,C).
% 0.20/0.54 Following clause subsumed by 402 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_Orderings_Oord__class_Oless(A,B,C)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,B),C))|B=C.
% 0.20/0.54 Following clause subsumed by 406 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_Orderings_Oord__class_Oless(A,B,C)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,C),B)).
% 0.20/0.54 Following clause subsumed by 401 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,B),C))|c_Orderings_Oord__class_Oless(A,B,C)|B=C.
% 0.20/0.54 Following clause subsumed by 391 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,B),C))|B!=C.
% 0.20/0.54 Following clause subsumed by 403 during input processing: 0 [] {-} -class_Orderings_Opreorder(A)| -c_Orderings_Oord__class_Oless(A,B,C)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,B),C)).
% 0.20/0.54 Following clause subsumed by 407 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -c_Orderings_Oord__class_Oless(A,B,C)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,B),C)).
% 0.20/0.54 Following clause subsumed by 26 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -c_Orderings_Oord__class_Oless(A,B,C)|B!=C.
% 0.20/0.54 Following clause subsumed by 401 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|c_Orderings_Oord__class_Oless(A,B,C)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,B),C))|B=C.
% 0.20/0.54 Following clause subsumed by 406 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,B),C))|c_Orderings_Oord__class_Oless(A,C,B).
% 0.20/0.54 Following clause subsumed by 406 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,B),C))|c_Orderings_Oord__class_Oless(A,C,B).
% 0.20/0.54 Following clause subsumed by 404 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,B),C))| -c_Orderings_Oord__class_Oless(A,C,B).
% 0.20/0.54 Following clause subsumed by 406 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_Orderings_Oord__class_Oless(A,B,C)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,C),B)).
% 0.20/0.54 Following clause subsumed by 404 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -c_Orderings_Oord__class_Oless(A,B,C)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,C),B)).
% 0.20/0.54 Following clause subsumed by 410 during input processing: 0 [] {-} -class_Groups_Oordered__ab__semigroup__add__imp__le(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,c_Groups_Oplus__class_Oplus(A,B,C)),c_Groups_Oplus__class_Oplus(A,D,C)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,B),D)).
% 0.20/0.54 Following clause subsumed by 412 during input processing: 0 [] {-} -class_Groups_Oordered__ab__semigroup__add__imp__le(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,c_Groups_Oplus__class_Oplus(A,B,C)),c_Groups_Oplus__class_Oplus(A,B,D)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,C),D)).
% 0.20/0.54 Following clause subsumed by 417 during input processing: 0 [] {-} -class_Groups_Oordered__ab__group__add(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,B),c_Groups_Ouminus__class_Ouminus(A,C)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,C),c_Groups_Ouminus__class_Ouminus(A,B))).
% 0.20/0.54 Following clause subsumed by 418 during input processing: 0 [] {-} -class_Groups_Oordered__ab__group__add(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ouminus__class_Ouminus(A,B)),C))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ouminus__class_Ouminus(A,C)),B)).
% 0.20/0.54 Following clause subsumed by 420 during input processing: 0 [] {-} -class_Groups_Oordered__ab__group__add(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,B),C))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ouminus__class_Ouminus(A,C)),c_Groups_Ouminus__class_Ouminus(A,B))).
% 0.20/0.54 Following clause subsumed by 424 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),c_Nat_OSuc(B)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),B))|A=c_Nat_OSuc(B).
% 0.20/0.54 Following clause subsumed by 425 during input processing: 0 [] {-} hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),c_Nat_OSuc(B)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),B)).
% 0.20/0.55 Following clause subsumed by 431 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),B)).
% 0.20/0.55 Following clause subsumed by 431 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),B)).
% 0.20/0.55 Following clause subsumed by 433 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),B))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|A=B.
% 0.20/0.55 Following clause subsumed by 431 during input processing: 0 [] {-} hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),B))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B).
% 0.20/0.55 Following clause subsumed by 432 during input processing: 0 [] {-} hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),B))|A!=B.
% 0.20/0.55 Following clause subsumed by 431 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),B)).
% 0.20/0.55 Following clause subsumed by 8 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|A!=B.
% 0.20/0.55 Following clause subsumed by 433 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),B))|A=B.
% 0.20/0.55 Following clause subsumed by 439 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),B))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,B,C))).
% 0.20/0.55 Following clause subsumed by 440 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),B))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,C,B))).
% 0.20/0.55 Following clause subsumed by 444 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,B)),C))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),C)).
% 0.20/0.55 Following clause subsumed by 443 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,B)),C))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,B),C)).
% 0.20/0.55 Following clause subsumed by 470 during input processing: 0 [] {-} -class_Rings_Oordered__cancel__semiring(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,B),c_Groups_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ozero__class_Ozero(A)),C))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)),c_Groups_Ozero__class_Ozero(A))).
% 0.20/0.55 Following clause subsumed by 471 during input processing: 0 [] {-} -class_Rings_Oordered__ring(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,B),c_Groups_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,C),c_Groups_Ozero__class_Ozero(A)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ozero__class_Ozero(A)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C))).
% 0.20/0.55 Following clause subsumed by 469 during input processing: 0 [] {-} -class_Rings_Oordered__cancel__semiring(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ozero__class_Ozero(A)),B))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,C),c_Groups_Ozero__class_Ozero(A)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)),c_Groups_Ozero__class_Ozero(A))).
% 0.20/0.55 Following clause subsumed by 470 during input processing: 0 [] {-} -class_Rings_Oordered__cancel__semiring(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,B),c_Groups_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ozero__class_Ozero(A)),C))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)),c_Groups_Ozero__class_Ozero(A))).
% 0.20/0.55 Following clause subsumed by 482 during input processing: 0 [] {-} -class_Groups_Oordered__comm__monoid__add(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ozero__class_Ozero(A)),B))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ozero__class_Ozero(A)),C))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ozero__class_Ozero(A)),c_Groups_Oplus__class_Oplus(A,B,C))).
% 0.20/0.55 Following clause subsumed by 502 during input processing: 0 [] {-} -class_Rings_Olinordered__semidom(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ozero__class_Ozero(A)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(A),B))).
% 0.20/0.55 Following clause subsumed by 449 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),A)|hBOOL(hAPP(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)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,B),C)).
% 0.20/0.55 Following clause subsumed by 505 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(A)),B))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B).
% 0.20/0.55 Following clause subsumed by 504 during input processing: 0 [] {-} hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(A)),B))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B).
% 0.20/0.55 Following clause subsumed by 507 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),B))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,c_Nat_OSuc(B)).
% 0.20/0.55 Following clause subsumed by 504 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(A)),B)).
% 0.20/0.55 Following clause subsumed by 58 during input processing: 0 [] {-} -hBOOL(hAPP(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.
% 0.20/0.55 Following clause subsumed by 505 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(A)),B))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B).
% 0.20/0.55 Following clause subsumed by 449 during input processing: 0 [] {-} hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(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)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,B),C)).
% 0.20/0.55 Following clause subsumed by 537 during input processing: 0 [] {-} -class_Groups_Oordered__comm__monoid__add(A)| -hBOOL(hAPP(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)).
% 0.20/0.55 Following clause subsumed by 538 during input processing: 0 [] {-} -class_Groups_Oordered__comm__monoid__add(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),B)| -hBOOL(hAPP(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)).
% 0.20/0.55 Following clause subsumed by 503 during input processing: 0 [] {-} -hBOOL(hAPP(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(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,B),C)).
% 0.20/0.55 Following clause subsumed by 449 during input processing: 0 [] {-} hBOOL(hAPP(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)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,B),C)).
% 0.20/0.55 Following clause subsumed by 448 during input processing: 0 [] {-} hBOOL(hAPP(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)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),C)).
% 0.20/0.55 Following clause subsumed by 556 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Int_Oint,A,B)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,A,c_Groups_Oone__class_Oone(tc_Int_Oint))),B)).
% 0.20/0.55 Following clause subsumed by 582 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,A,B)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,A),B)).
% 0.20/0.55 Following clause subsumed by 581 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,A,B)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,A),B))|A=B.
% 0.20/0.55 Following clause subsumed by 432 during input processing: 0 [] {-} A!=B|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),B)).
% 0.20/0.55 Following clause subsumed by 436 during input processing: 0 [] {-} hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),B))|B!=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,C).
% 0.20/0.55 Following clause subsumed by 621 during input processing: 0 [] {-} -class_Lattices_Oab__semigroup__idem__mult(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),B)=B.
% 0.20/0.55 Following clause subsumed by 620 during input processing: 0 [] {-} -class_Lattices_Oboolean__algebra(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ouminus__class_Ouminus(A,B)),c_Groups_Ouminus__class_Ouminus(A,C)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,C),B)).
% 0.20/0.55 Following clause subsumed by 641 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),A))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B))|hAPP(c_Int_Onat,A)!=hAPP(c_Int_Onat,B)|A=B.
% 0.20/0.55 Following clause subsumed by 642 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),A))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B))|hAPP(c_Int_Onat,A)=hAPP(c_Int_Onat,B)|A!=B.
% 0.20/0.55 Following clause subsumed by 650 during input processing: 0 [] {-} hAPP(c_Int_Onat,A)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,A),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 0.20/0.55 Following clause subsumed by 653 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,A),hAPP(c_Int_Onat,B))| -c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),B)| -c_Orderings_Oord__class_Oless(tc_Int_Oint,A,B).
% 0.20/0.55 Following clause subsumed by 658 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),A))|hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,A))=A.
% 0.20/0.55 Following clause subsumed by 655 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),A))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,A),hAPP(c_Int_Onat,B))|c_Orderings_Oord__class_Oless(tc_Int_Oint,A,B).
% 0.20/0.55 Following clause subsumed by 655 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),A))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,A),hAPP(c_Int_Onat,B))|c_Orderings_Oord__class_Oless(tc_Int_Oint,A,B).
% 0.20/0.55 Following clause subsumed by 693 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),A))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B))|hAPP(c_Int_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,A,B))=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(c_Int_Onat,A),hAPP(c_Int_Onat,B)).
% 0.20/0.55 Following clause subsumed by 716 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),A))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,B),c_RComplete_Onatfloor(A)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(c_RealDef_Oreal(tc_Nat_Onat),B)),A)).
% 0.20/0.55 Following clause subsumed by 717 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),A))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(A)),B))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,A),hAPP(c_RealDef_Oreal(tc_Nat_Onat),B))).
% 0.20/0.56 Following clause subsumed by 750 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)).
% 0.20/0.56 Following clause subsumed by 786 during input processing: 0 [flip.2] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),A))|hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Int_Onat,A)),B)=hAPP(c_Int_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),A),B)).
% 0.20/0.56 Following clause subsumed by 783 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).
% 0.20/0.56 Following clause subsumed by 785 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).
% 0.20/0.56 Following clause subsumed by 784 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).
% 0.20/0.56 Following clause subsumed by 824 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).
% 0.20/0.56 Following clause subsumed by 823 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).
% 0.20/0.56 Following clause subsumed by 777 during input processing: 0 [] {-} -class_Rings_Olinordered__semidom(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Oone__class_Oone(A),B)| -hBOOL(hAPP(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)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,C),D)).
% 0.20/0.56 Following clause subsumed by 849 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),A)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oln(A))| -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),A).
% 0.20/0.56 Following clause subsumed by 854 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),A)| -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,A,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Transcendental_Oln(A),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)).
% 0.20/0.56 Following clause subsumed by 850 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oln(A))| -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),A)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),A).
% 0.20/0.56 Following clause subsumed by 848 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Transcendental_Oln(A)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),A)).
% 0.20/0.57 Following clause subsumed by 855 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Transcendental_Oln(A)))| -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),A)).
% 0.20/0.57 Following clause subsumed by 866 during input processing: 0 [] {-} -hBOOL(hAPP(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).
% 0.20/0.57 Following clause subsumed by 875 during input processing: 0 [] {-} -hBOOL(hAPP(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).
% 0.20/0.57 Following clause subsumed by 877 during input processing: 0 [] {-} -hBOOL(hAPP(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).
% 0.20/0.57 Following clause subsumed by 893 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)).
% 0.20/0.57 Following clause subsumed by 894 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)).
% 0.20/0.57 Following clause subsumed by 909 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),B))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),C))|hBOOL(hAPP(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)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,B),C)).
% 0.20/0.57 Following clause subsumed by 949 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))).
% 0.20/0.57 Following clause subsumed by 950 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)).
% 0.20/0.57 Following clause subsumed by 973 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.
% 0.20/0.57 Following clause subsumed by 287 during input processing: 0 [] {-} A!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.20/0.57 Following clause subsumed by 992 during input processing: 0 [] {-} -hBOOL(hAPP(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).
% 0.20/0.57 Following clause subsumed by 1020 during input processing: 0 [] {-} -class_Divides_Osemiring__div(A)|B=c_Groups_Ozero__class_Ozero(A)|c_Divides_Odiv__class_Odiv(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D))=c_Divides_Odiv__class_Odiv(A,C,D).
% 0.20/0.57 Following clause subsumed by 1026 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),A)|c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,B,A),c_Groups_Ozero__class_Ozero(tc_Int_Oint))| -c_Orderings_Oord__class_Oless(tc_Int_Oint,B,c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 0.39/0.59 Following clause subsumed by 1045 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),A))|c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Divides_Odiv__class_Odiv(tc_Int_Oint,A,B))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,B),A))| -c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),B).
% 0.39/0.59 Following clause subsumed by 1040 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),A))| -c_Orderings_Oord__class_Oless(tc_Int_Oint,A,B)|c_Divides_Odiv__class_Odiv(tc_Int_Oint,A,B)=c_Groups_Ozero__class_Ozero(tc_Int_Oint).
% 0.39/0.59 Following clause subsumed by 1041 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,A),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))| -c_Orderings_Oord__class_Oless(tc_Int_Oint,B,A)|c_Divides_Odiv__class_Odiv(tc_Int_Oint,A,B)=c_Groups_Ozero__class_Ozero(tc_Int_Oint).
% 0.39/0.59 Following clause subsumed by 1110 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,B,A)|c_Divides_Odiv__class_Odiv(tc_Nat_Onat,B,A)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.39/0.59 Following clause subsumed by 1119 during input processing: 0 [flip.3] {-} -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,B,A)|c_Nat_OSuc(c_Divides_Odiv__class_Odiv(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,B,A),A))=c_Divides_Odiv__class_Odiv(tc_Nat_Onat,B,A).
% 0.39/0.59 Following clause subsumed by 1128 during input processing: 0 [flip.3] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),A))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B))|hAPP(c_Int_Onat,c_Divides_Odiv__class_Odiv(tc_Int_Oint,A,B))=c_Divides_Odiv__class_Odiv(tc_Nat_Onat,hAPP(c_Int_Onat,A),hAPP(c_Int_Onat,B)).
% 0.39/0.59 Following clause subsumed by 1123 during input processing: 0 [] {-} hBOOL(hAPP(A,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,B,C)))|C!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)| -hBOOL(hAPP(A,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 0.39/0.59 58 back subsumes 57.
% 0.39/0.59 342 back subsumes 340.
% 0.39/0.59 343 back subsumes 339.
% 0.39/0.59 391 back subsumes 389.
% 0.39/0.59 432 back subsumes 428.
% 0.39/0.59 432 back subsumes 422.
% 0.39/0.59 655 back subsumes 652.
% 0.39/0.59 671 back subsumes 670.
% 0.39/0.59 674 back subsumes 656.
% 0.39/0.59 675 back subsumes 657.
% 0.39/0.59 696 back subsumes 694.
% 0.39/0.59 873 back subsumes 872.
% 0.39/0.59 981 back subsumes 819.
% 0.39/0.59 Following clause subsumed by 114 during input processing: 0 [copy,1154,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).
% 0.39/0.59 1231 back subsumes 1228.
% 0.39/0.59 1246 back subsumes 1243.
% 0.39/0.59 1288 back subsumes 1286.
% 0.39/0.59
% 0.39/0.59 ------------> process sos:
% 0.39/0.59 Following clause subsumed by 1349 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).
% 0.39/0.59 Following clause subsumed by 1349 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|A=B|c_Orderings_Oord__class_Oless(tc_Nat_Onat,B,A)|hBOOL(hAPP(hAPP(C,B),A)).
% 0.39/0.59 Following clause subsumed by 1369 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).
% 0.39/0.59 Following clause subsumed by 1430 during input processing: 0 [demod,1413,1413] {-} c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),B))=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,B)).
% 0.39/0.62 Following clause subsumed by 1430 during input processing: 0 [demod,1413,1427,1413] {-} c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,B))=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),B)).
% 0.39/0.62 Following clause subsumed by 1468 during input processing: 0 [demod,1466] {-} hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B))=hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B)).
% 0.39/0.62 Following clause subsumed by 1478 during input processing: 0 [] {-} hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),A)).
% 0.39/0.62 Following clause subsumed by 1489 during input processing: 0 [] {-} hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),A))).
% 0.39/0.62 Following clause subsumed by 1478 during input processing: 0 [] {-} hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_RComplete_Onatfloor(A))).
% 0.39/0.62 Following clause subsumed by 1478 during input processing: 0 [] {-} hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_RComplete_Onatceiling(A))).
% 0.39/0.62 Following clause subsumed by 1582 during input processing: 0 [demod,1580] {-} hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),A)),B)=hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),A)),B).
% 0.39/0.62 Following clause subsumed by 1366 during input processing: 0 [] {-} hBOOL(hAPP(A,c_Divides_Odiv__class_Odiv(tc_Int_Oint,B,C)))|C=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),C)|c_Orderings_Oord__class_Oless(tc_Int_Oint,C,c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 0.39/0.62 Following clause subsumed by 1357 during input processing: 0 [copy,1357,flip.1] {-} c_Fun_Oswap(A,B,C,D,E)=c_Fun_Oswap(A,B,D,C,E).
% 0.39/0.62 Following clause subsumed by 1386 during input processing: 0 [copy,1386,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)).
% 0.39/0.62 Following clause subsumed by 1387 during input processing: 0 [copy,1387,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).
% 0.39/0.62 Following clause subsumed by 1388 during input processing: 0 [copy,1388,flip.1] {-} c_Groups_Oplus__class_Oplus(tc_Int_Oint,A,B)=c_Groups_Oplus__class_Oplus(tc_Int_Oint,B,A).
% 0.39/0.62 Following clause subsumed by 1868 during input processing: 0 [copy,1411,flip.1] {-} c_Groups_Ozero__class_Ozero(tc_Int_Oint)=c_Groups_Ozero__class_Ozero(tc_Int_Oint).
% 0.39/0.62 Following clause subsumed by 1432 during input processing: 0 [copy,1415,flip.1,demod,1525,1525] {-} c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,hAPP(c_Int_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)))=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(c_Int_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)),A).
% 0.39/0.62 Following clause subsumed by 1430 during input processing: 0 [copy,1430,flip.1] {-} c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,B,C))=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,B,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,C)).
% 0.39/0.62 Following clause subsumed by 1431 during input processing: 0 [copy,1431,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).
% 0.39/0.62 Following clause subsumed by 1432 during input processing: 0 [copy,1432,flip.1] {-} c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,B)=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,B,A).
% 0.39/0.62 1432 back subsumes 1415.
% 0.44/0.64 Following clause subsumed by 1868 during input processing: 0 [copy,1446,flip.1,demod,1525,1525] {-} c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(c_Int_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,B))=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(c_Int_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,B)).
% 0.44/0.64 Following clause subsumed by 1868 during input processing: 0 [copy,1455,flip.1,demod,1525,1525] {-} hAPP(c_Int_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint))=hAPP(c_Int_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)).
% 0.44/0.64 Following clause subsumed by 1868 during input processing: 0 [copy,1463,flip.1] {-} c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),A),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B))=c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),A),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B)).
% 0.44/0.64 Following clause subsumed by 1868 during input processing: 0 [copy,1468,flip.1] {-} hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B))=hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B)).
% 0.44/0.64 Following clause subsumed by 1868 during input processing: 0 [copy,1473,flip.1] {-} c_Groups_Oone__class_Oone(tc_Int_Oint)=c_Groups_Oone__class_Oone(tc_Int_Oint).
% 0.44/0.64 Following clause subsumed by 1868 during input processing: 0 [copy,1476,flip.1] {-} c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),C),B),D))=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),C),B),D)).
% 0.44/0.64 1480 back subsumes 1323.
% 0.44/0.64 1489 back subsumes 1242.
% 0.44/0.64 1494 back subsumes 1309.
% 0.44/0.64 1494 back subsumes 1308.
% 0.44/0.64 1496 back subsumes 1035.
% 0.44/0.64 1497 back subsumes 1480.
% 0.44/0.64 1498 back subsumes 1317.
% 0.44/0.64 Following clause subsumed by 1502 during input processing: 0 [copy,1502,flip.1] {-} hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),A),B)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),B),A).
% 0.44/0.64 Following clause subsumed by 1868 during input processing: 0 [copy,1522,flip.1] {-} hAPP(c_Int_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint))=hAPP(c_Int_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 0.44/0.64 Following clause subsumed by 1868 during input processing: 0 [copy,1545,flip.1] {-} c_Nat_Osemiring__1__class_Oof__nat(tc_RealDef_Oreal)=c_Nat_Osemiring__1__class_Oof__nat(tc_RealDef_Oreal).
% 0.44/0.64 Following clause subsumed by 1868 during input processing: 0 [copy,1563,flip.1] {-} c_Groups_Oone__class_Oone(tc_RealDef_Oreal)=c_Groups_Oone__class_Oone(tc_RealDef_Oreal).
% 0.44/0.64 Following clause subsumed by 1868 during input processing: 0 [copy,1575,flip.1] {-} hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),A),B))=hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),A),B)).
% 0.44/0.64 Following clause subsumed by 1868 during input processing: 0 [copy,1582,flip.1] {-} hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),A)),B)=hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),A)),B).
% 0.44/0.64 Following clause subsumed by 1610 during input processing: 0 [copy,1605,flip.1] {-} c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,A,hAPP(c_Int_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint))),B)=c_Groups_Ominus__class_Ominus(tc_Nat_Onat,A,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(c_Int_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)),B)).
% 0.44/0.64 Following clause subsumed by 1619 during input processing: 0 [copy,1619,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).
% 0.44/0.64 Following clause subsumed by 1868 during input processing: 0 [copy,1624,flip.1] {-} c_Groups_Ominus__class_Ominus(tc_Nat_Onat,A,B)=c_Groups_Ominus__class_Ominus(tc_Nat_Onat,A,B).
% 0.44/0.64 1624 back subsumes 1315.
% 0.45/0.65 Following clause subsumed by 1868 during input processing: 0 [copy,1647,flip.1] {-} c_Groups_Ominus__class_Ominus(tc_Int_Oint,A,B)=c_Groups_Ominus__class_Ominus(tc_Int_Oint,A,B).
% 0.45/0.65 Following clause subsumed by 1868 during input processing: 0 [copy,1657,flip.1] {-} c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,A,B)=c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,A,B).
% 0.45/0.65 Following clause subsumed by 1868 during input processing: 0 [copy,1704,flip.1] {-} c_Divides_Odiv__class_Odiv(tc_Int_Oint,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),A),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B))=c_Divides_Odiv__class_Odiv(tc_Int_Oint,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),A),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B)).
% 0.45/0.65 Following clause subsumed by 1868 during input processing: 0 [copy,1868,flip.1] {-} A=A.
% 0.45/0.65 1868 back subsumes 1704.
% 0.45/0.65 1868 back subsumes 1657.
% 0.45/0.65 1868 back subsumes 1647.
% 0.45/0.65 1868 back subsumes 1624.
% 0.45/0.65 1868 back subsumes 1582.
% 0.45/0.65 1868 back subsumes 1575.
% 0.45/0.65 1868 back subsumes 1563.
% 0.45/0.65 1868 back subsumes 1545.
% 0.45/0.65 1868 back subsumes 1522.
% 0.45/0.65 1868 back subsumes 1476.
% 0.45/0.65 1868 back subsumes 1473.
% 0.45/0.65 1868 back subsumes 1468.
% 0.45/0.65 1868 back subsumes 1463.
% 0.45/0.65 1868 back subsumes 1411.
% 0.45/0.65 1868 back subsumes 1314.
% 0.45/0.65 1868 back subsumes 1303.
% 0.45/0.65 1868 back subsumes 1302.
% 0.45/0.65 1868 back subsumes 1283.
% 0.45/0.65 1868 back subsumes 1282.
% 0.45/0.65 1868 back subsumes 1269.
% 0.45/0.65 1868 back subsumes 1268.
% 0.45/0.65 1868 back subsumes 1267.
% 0.45/0.65 1868 back subsumes 1206.
% 0.45/0.65 1868 back subsumes 1149.
% 0.45/0.65 1868 back subsumes 1146.
% 0.45/0.65 Following clause subsumed by 1346 during input processing: 0 [copy,1869,flip.1] {-} hAPP(c_Fun_Ocomp(A,B,C,D),hAPP(c_Fun_Ocomp(E,A,C,F),G))=hAPP(c_Fun_Ocomp(E,B,C,hAPP(c_Fun_Ocomp(A,B,E,D),F)),G).
% 0.45/0.65 Following clause subsumed by 1893 during input processing: 0 [copy,1871,flip.1] {-} hAPP(hAPP(c_Nat_Ocompow(A,A),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(c_Int_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)),B)),C)=hAPP(c_Fun_Ocomp(A,A,A,C),hAPP(hAPP(c_Nat_Ocompow(A,A),B),C)).
% 0.45/0.65 Following clause subsumed by 1875 during input processing: 0 [copy,1872,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).
% 0.45/0.65 Following clause subsumed by 1872 during input processing: 0 [copy,1875,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)).
% 0.45/0.65 Following clause subsumed by 1383 during input processing: 0 [copy,1876,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).
% 0.45/0.65 Following clause subsumed by 1871 during input processing: 0 [copy,1893,flip.1] {-} hAPP(c_Fun_Ocomp(A,A,A,B),hAPP(hAPP(c_Nat_Ocompow(A,A),C),B))=hAPP(hAPP(c_Nat_Ocompow(A,A),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(c_Int_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)),C)),B).
% 0.45/0.65 Following clause subsumed by 1474 during input processing: 0 [copy,2011,flip.1] {-} hAPP(hAPP(c_Nat_Ocompow(A,A),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,B,C)),D)=hAPP(c_Fun_Ocomp(A,A,A,hAPP(hAPP(c_Nat_Ocompow(A,A),B),D)),hAPP(hAPP(c_Nat_Ocompow(A,A),C),D)).
% 0.45/0.65 2018 back subsumes 1288.
% 0.45/0.65 Following clause subsumed by 1535 during input processing: 0 [copy,2188,flip.1] {-} c_Int_Onat__aux(A,B)=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(c_Int_Onat,A),B).
% 0.45/0.65 Following clause subsumed by 1599 during input processing: 0 [copy,2224,flip.1] {-} c_Groups_Ominus__class_Ominus(tc_Nat_Onat,A,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,B))=hAPP(c_Int_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 0.45/0.65 Following clause subsumed by 1610 during input processing: 0 [copy,2225,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)).
% 0.45/0.65 2225 back subsumes 1605.
% 0.45/0.65 Following clause subsumed by 1632 during input processing: 0 [copy,2242,flip.1] {-} c_Groups_Ominus__class_Ominus(tc_Nat_Onat,A,A)=hAPP(c_Int_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 0.45/0.65 Following clause subsumed by 1666 during input processing: 0 [copy,2254,flip.1] {-} c_Divides_Odiv__class_Odiv(tc_Int_Oint,A,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,B))=c_Divides_Odiv__class_Odiv(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,A),B).
% 0.45/0.65 Following clause subsumed by 1700 during input processing: 0 [copy,2255,flip.1] {-} c_Divides_Odiv__class_Odiv(tc_Nat_Onat,A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),B),C))=c_Divides_Odiv__class_Odiv(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,A,B),C).
% 0.45/0.65 Following clause subsumed by 1984 during input processing: 0 [copy,2260,flip.1] {-} c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(c_Int_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)),A)!=hAPP(c_Int_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 0.45/0.65
% 0.45/0.65 ======= end of input processing =======
% 0.45/0.66
% 0.45/0.66 SEGMENTATION FAULT!! This is probably caused by a
% 0.45/0.66 bug in Otter. Please send copy of the input file to
% 0.45/0.66 otter@mcs.anl.gov, let us know what version of Otter you are
% 0.45/0.66 using, and send any other info that might be useful.
% 0.45/0.66
% 0.45/0.66
% 0.45/0.66 SEGMENTATION FAULT!! This is probably caused by a
% 0.45/0.66 bug in Otter. Please send copy of the input file to
% 0.45/0.66 otter@mcs.anl.gov, let us know what version of Otter you are
% 0.45/0.66 using, and send any other info that might be useful.
% 0.45/0.66
% 0.45/0.66
% 0.45/0.66 The job finished Sat Jun 4 08:27:48 2022
%------------------------------------------------------------------------------