%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : SWW247+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n023.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Thu Jul 21 01:26:25 EDT 2022
% Result : Unknown 0.52s 0.68s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.14 % Problem : SWW247+1 : TPTP v8.1.0. Released v5.2.0.
% 0.03/0.14 % Command : sos-script %s
% 0.14/0.36 % Computer : n023.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Mon Jun 6 05:19:54 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.39/0.56 ----- Otter 3.2, August 2001 -----
% 0.39/0.56 The process was started by sandbox2 on n023.cluster.edu,
% 0.39/0.56 Mon Jun 6 05:19:54 2022
% 0.39/0.56 The command was "./sos". The process ID is 21107.
% 0.39/0.56
% 0.39/0.56 set(prolog_style_variables).
% 0.39/0.56 set(auto).
% 0.39/0.56 dependent: set(auto1).
% 0.39/0.56 dependent: set(process_input).
% 0.39/0.56 dependent: clear(print_kept).
% 0.39/0.56 dependent: clear(print_new_demod).
% 0.39/0.56 dependent: clear(print_back_demod).
% 0.39/0.56 dependent: clear(print_back_sub).
% 0.39/0.56 dependent: set(control_memory).
% 0.39/0.56 dependent: assign(max_mem, 12000).
% 0.39/0.56 dependent: assign(pick_given_ratio, 4).
% 0.39/0.56 dependent: assign(stats_level, 1).
% 0.39/0.56 dependent: assign(pick_semantic_ratio, 3).
% 0.39/0.56 dependent: assign(sos_limit, 5000).
% 0.39/0.56 dependent: assign(max_weight, 60).
% 0.39/0.56 clear(print_given).
% 0.39/0.56
% 0.39/0.56 formula_list(usable).
% 0.39/0.56
% 0.39/0.56 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=7.
% 0.39/0.56
% 0.39/0.56 This ia a non-Horn set with equality. The strategy will be
% 0.39/0.56 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.39/0.56 unit deletion, with positive clauses in sos and nonpositive
% 0.39/0.56 clauses in usable.
% 0.39/0.56
% 0.39/0.56 dependent: set(knuth_bendix).
% 0.39/0.56 dependent: set(para_from).
% 0.39/0.56 dependent: set(para_into).
% 0.39/0.56 dependent: clear(para_from_right).
% 0.39/0.56 dependent: clear(para_into_right).
% 0.39/0.56 dependent: set(para_from_vars).
% 0.39/0.56 dependent: set(eq_units_both_ways).
% 0.39/0.56 dependent: set(dynamic_demod_all).
% 0.39/0.56 dependent: set(dynamic_demod).
% 0.39/0.56 dependent: set(order_eq).
% 0.39/0.56 dependent: set(back_demod).
% 0.39/0.56 dependent: set(lrpo).
% 0.39/0.56 dependent: set(hyper_res).
% 0.39/0.56 dependent: set(unit_deletion).
% 0.39/0.56 dependent: set(factor).
% 0.39/0.56
% 0.39/0.56 ------------> process usable:
% 0.39/0.56 Following clause subsumed by 5 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)).
% 0.39/0.56 Following clause subsumed by 6 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)).
% 0.39/0.56 Following clause subsumed by 73 during input processing: 0 [flip.2] {-} -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(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))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),C),D)).
% 0.39/0.56 Following clause subsumed by 85 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)).
% 0.39/0.56 Following clause subsumed by 90 during input processing: 0 [flip.2] {-} -class_Rings_Ocomm__semiring__1(A)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),C)),D)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),C),D)).
% 0.39/0.56 Following clause subsumed by 96 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).
% 0.39/0.56 Following clause subsumed by 100 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).
% 0.39/0.56 Following clause subsumed by 103 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).
% 0.39/0.57 Following clause subsumed by 76 during input processing: 0 [] {-} -class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(A)|hAPP(hAPP(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))!=hAPP(hAPP(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.
% 0.39/0.57 Following clause subsumed by 77 during input processing: 0 [] {-} -class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(A)|hAPP(hAPP(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))=hAPP(hAPP(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.
% 0.39/0.57 Following clause subsumed by 78 during input processing: 0 [] {-} -class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(A)|hAPP(hAPP(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))=hAPP(hAPP(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.
% 0.39/0.57 Following clause subsumed by 115 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),C)),D)=hAPP(hAPP(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)).
% 0.39/0.57 Following clause subsumed by 138 during input processing: 0 [] {-} -class_Groups_Ogroup__add(A)|B=hAPP(c_Groups_Ouminus__class_Ouminus(A),C)|C!=hAPP(c_Groups_Ouminus__class_Ouminus(A),B).
% 0.39/0.57 Following clause subsumed by 139 during input processing: 0 [] {-} -class_Groups_Ogroup__add(A)|hAPP(c_Groups_Ouminus__class_Ouminus(A),B)=C|hAPP(c_Groups_Ouminus__class_Ouminus(A),C)!=B.
% 0.39/0.57 Following clause subsumed by 145 during input processing: 0 [] {-} -class_Groups_Oab__group__add(A)|hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(A)),hAPP(hAPP(c_Polynomial_OpCons(A),B),C))=hAPP(hAPP(c_Polynomial_OpCons(A),hAPP(c_Groups_Ouminus__class_Ouminus(A),B)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(A)),C)).
% 0.39/0.57 Following clause subsumed by 150 during input processing: 0 [] {-} -class_Groups_Olinordered__ab__group__add(A)|hAPP(c_Groups_Ouminus__class_Ouminus(A),B)!=B|B=c_Groups_Ozero__class_Ozero(A).
% 0.39/0.57 Following clause subsumed by 152 during input processing: 0 [] {-} -class_Groups_Olinordered__ab__group__add(A)|hAPP(c_Groups_Ouminus__class_Ouminus(A),B)=B|B!=c_Groups_Ozero__class_Ozero(A).
% 0.39/0.57 Following clause subsumed by 174 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),hAPP(c_Groups_Ouminus__class_Ouminus(A),C))=hAPP(c_Groups_Ouminus__class_Ouminus(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)).
% 0.39/0.57 Following clause subsumed by 175 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(c_Groups_Ouminus__class_Ouminus(A),B)),C)=hAPP(c_Groups_Ouminus__class_Ouminus(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)).
% 0.39/0.57 Following clause subsumed by 182 during input processing: 0 [] {-} -class_Rings_Ozero__neq__one(A)|c_Groups_Ozero__class_Ozero(A)!=c_Groups_Oone__class_Oone(A).
% 0.39/0.57 Following clause subsumed by 207 during input processing: 0 [] {-} -class_Groups_Ocancel__semigroup__add(A)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),C)!=hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),D)|C=D.
% 0.39/0.57 Following clause subsumed by 209 during input processing: 0 [] {-} -class_Groups_Ocancel__semigroup__add(A)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),C)!=hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),D),C)|B=D.
% 0.39/0.57 Following clause subsumed by 240 during input processing: 0 [] {-} -class_Lattices_Oboolean__algebra(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,hAPP(c_Groups_Ouminus__class_Ouminus(A),B)),hAPP(c_Groups_Ouminus__class_Ouminus(A),C)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,C),B)).
% 0.39/0.57 Following clause subsumed by 260 during input processing: 0 [] {-} -class_Groups_Oordered__ab__semigroup__add__imp__le(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),C)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),D)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,C),D)).
% 0.39/0.57 Following clause subsumed by 261 during input processing: 0 [] {-} -class_Groups_Oordered__ab__semigroup__add__imp__le(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),C)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),D),C)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,B),D)).
% 0.39/0.57 Following clause subsumed by 267 during input processing: 0 [] {-} -class_Groups_Oordered__ab__group__add(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,hAPP(c_Groups_Ouminus__class_Ouminus(A),B)),hAPP(c_Groups_Ouminus__class_Ouminus(A),C)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,C),B)).
% 0.39/0.57 Following clause subsumed by 269 during input processing: 0 [] {-} -class_Groups_Oordered__ab__group__add(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,hAPP(c_Groups_Ouminus__class_Ouminus(A),B)),C))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,hAPP(c_Groups_Ouminus__class_Ouminus(A),C)),B)).
% 0.39/0.57 Following clause subsumed by 270 during input processing: 0 [] {-} -class_Groups_Oordered__ab__group__add(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,B),hAPP(c_Groups_Ouminus__class_Ouminus(A),C)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,C),hAPP(c_Groups_Ouminus__class_Ouminus(A),B))).
% 0.39/0.57 Following clause subsumed by 282 during input processing: 0 [] {-} -class_Fields_Ofield(A)|B=c_Groups_Ozero__class_Ozero(A)| -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(A)),C),hAPP(hAPP(c_Polynomial_Osmult(A),B),D)))|hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(A)),C),D)).
% 0.39/0.57 Following clause subsumed by 288 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))).
% 0.39/0.57 Following clause subsumed by 286 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))).
% 0.39/0.57 Following clause subsumed by 286 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),C),B)),c_Groups_Ozero__class_Ozero(A))).
% 0.39/0.57 Following clause subsumed by 285 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))).
% 0.39/0.57 Following clause subsumed by 312 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)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),C))).
% 0.39/0.57 Following clause subsumed by 283 during input processing: 0 [] {-} -class_Fields_Ofield(A)|hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(A)),hAPP(hAPP(c_Polynomial_Osmult(A),B),C)),D))|B=c_Groups_Ozero__class_Ozero(A)| -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(A)),C),D)).
% 0.39/0.57 Following clause subsumed by 351 during input processing: 0 [] {-} -class_Lattices_Oab__semigroup__idem__mult(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),B)=B.
% 0.39/0.57 Following clause subsumed by 219 during input processing: 0 [] {-} -class_Groups_Ouminus(A)|hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(B,A)),C),D)=hAPP(c_Groups_Ouminus__class_Ouminus(A),hAPP(C,D)).
% 0.39/0.57 Following clause subsumed by 374 during input processing: 0 [] {-} A=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),B),C))| -hBOOL(hAPP(hAPP(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))).
% 0.39/0.57 Following clause subsumed by 336 during input processing: 0 [] {-} -class_Rings_Oidom(A)|B=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(A))|hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(A)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(A)),hAPP(hAPP(c_Polynomial_OpCons(A),hAPP(c_Groups_Ouminus__class_Ouminus(A),C)),hAPP(hAPP(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)).
% 0.39/0.57 Following clause subsumed by 393 during input processing: 0 [] {-} -class_Rings_Oidom(A)|B=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(A))| -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(A)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(A)),hAPP(hAPP(c_Polynomial_OpCons(A),hAPP(c_Groups_Ouminus__class_Ouminus(A),C)),hAPP(hAPP(c_Polynomial_OpCons(A),c_Groups_Oone__class_Oone(A)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(A))))),hAPP(c_Nat_OSuc,c_Polynomial_Oorder(A,C,B)))),B)).
% 0.39/0.57 Following clause subsumed by 402 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),hAPP(c_Nat_OSuc,B)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),B))|A=hAPP(c_Nat_OSuc,B).
% 0.39/0.57 Following clause subsumed by 403 during input processing: 0 [] {-} hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),hAPP(c_Nat_OSuc,B)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),B)).
% 0.39/0.57 Following clause subsumed by 413 during input processing: 0 [] {-} hAPP(c_Nat_OSuc,A)!=hAPP(c_Nat_OSuc,B)|A=B.
% 0.39/0.57 Following clause subsumed by 415 during input processing: 0 [flip.1] {-} hAPP(c_Nat_OSuc,A)!=A.
% 0.39/0.57 Following clause subsumed by 416 during input processing: 0 [] {-} hAPP(c_Nat_OSuc,A)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.39/0.57 Following clause subsumed by 416 during input processing: 0 [] {-} hAPP(c_Nat_OSuc,A)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.39/0.57 Following clause subsumed by 417 during input processing: 0 [] {-} c_Groups_Ozero__class_Ozero(tc_Nat_Onat)!=hAPP(c_Nat_OSuc,A).
% 0.39/0.57 Following clause subsumed by 417 during input processing: 0 [] {-} c_Groups_Ozero__class_Ozero(tc_Nat_Onat)!=hAPP(c_Nat_OSuc,A).
% 0.39/0.57 Following clause subsumed by 443 during input processing: 0 [] {-} -class_Rings_Ocomm__semiring__1(A)|hAPP(hAPP(c_Power_Opower__class_Opower(A),B),hAPP(c_Nat_OSuc,C))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C)).
% 0.39/0.57 Following clause subsumed by 460 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.
% 0.39/0.57 Following clause subsumed by 460 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.
% 0.39/0.57 Following clause subsumed by 458 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))).
% 0.39/0.57 Following clause subsumed by 460 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)).
% 0.39/0.57 Following clause subsumed by 457 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)).
% 0.39/0.57 Following clause subsumed by 458 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))).
% 0.39/0.57 Following clause subsumed by 479 during input processing: 0 [] {-} hBOOL(hAPP(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).
% 0.39/0.57 Following clause subsumed by 509 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),A),B)),C))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),C)).
% 0.39/0.57 Following clause subsumed by 508 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),A),B)),C))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,B),C)).
% 0.39/0.57 Following clause subsumed by 514 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).
% 0.39/0.57 Following clause subsumed by 516 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).
% 0.39/0.57 Following clause subsumed by 518 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).
% 0.39/0.57 Following clause subsumed by 521 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),A),B)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),C),B)))|B=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),A),C)).
% 0.39/0.57 Following clause subsumed by 532 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),A),B))|hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),B),A))|A!=B.
% 0.39/0.57 Following clause subsumed by 528 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),A),B))| -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),B),C))|hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),C),B))| -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),C),A)).
% 0.39/0.57 Following clause subsumed by 537 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),A),B))| -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),B),A))|A=B.
% 0.39/0.57 Following clause subsumed by 537 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),A),B))|A=B| -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),B),A)).
% 0.39/0.57 Following clause subsumed by 537 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),A),B))| -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),B),A))|A=B.
% 0.39/0.57 Following clause subsumed by 537 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),A),B))| -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),B),A))|B=A.
% 0.39/0.57 Following clause subsumed by 531 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),A),B))|hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),B),A))|B!=A.
% 0.39/0.57 Following clause subsumed by 537 during input processing: 0 [] {-} A=B| -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),A),B))| -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),B),A)).
% 0.39/0.57 Following clause subsumed by 532 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),A),B))|hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),B),A))|A!=B.
% 0.39/0.57 Following clause subsumed by 537 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),A),B))| -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),B),A))|B=A.
% 0.39/0.57 Following clause subsumed by 537 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),A),B))| -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),B),A))|A=B.
% 0.39/0.57 Following clause subsumed by 540 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),A),B))|A!=B.
% 0.39/0.57 Following clause subsumed by 540 during input processing: 0 [] {-} A!=B|hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),A),B)).
% 0.39/0.57 Following clause subsumed by 537 during input processing: 0 [] {-} A=B| -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),A),B))| -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),B),A)).
% 0.39/0.57 Following clause subsumed by 542 during input processing: 0 [] {-} -class_Orderings_Owellorder(A)| -hBOOL(hAPP(B,C))|hBOOL(hAPP(B,c_Orderings_Oord__class_OLeast(A,B))).
% 0.39/0.57 Following clause subsumed by 546 during input processing: 0 [] {-} A=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)| -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),B),A)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),C),A)))|hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),B),C)).
% 0.39/0.57 Following clause subsumed by 493 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.
% 0.39/0.57 Following clause subsumed by 495 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).
% 0.39/0.57 Following clause subsumed by 494 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.
% 0.39/0.57 Following clause subsumed by 505 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),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),C),B))).
% 0.39/0.57 Following clause subsumed by 504 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),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B),C))).
% 0.39/0.57 Following clause subsumed by 501 during input processing: 0 [] {-} hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),B))|B!=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),A),C).
% 0.39/0.57 Following clause subsumed by 580 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),A))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,B)),hAPP(c_Int_Onat,A)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,B),A)).
% 0.39/0.57 Following clause subsumed by 581 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),A))|hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,B)),hAPP(c_Int_Onat,A)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,B),A)).
% 0.39/0.57 Following clause subsumed by 583 during input processing: 0 [] {-} -class_Orderings_Opreorder(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,B),C))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,C),B)).
% 0.39/0.57 Following clause subsumed by 583 during input processing: 0 [] {-} -class_Orderings_Opreorder(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,B),C))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,C),B)).
% 0.39/0.57 Following clause subsumed by 583 during input processing: 0 [] {-} -class_Orderings_Opreorder(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,B),C))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,C),B)).
% 0.39/0.57 Following clause subsumed by 592 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,B),C))|B!=C.
% 0.39/0.58 Following clause subsumed by 582 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|B=C|hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,B),C))|hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,C),B)).
% 0.39/0.58 Following clause subsumed by 582 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,B),C))|hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,C),B))|C=B.
% 0.39/0.58 Following clause subsumed by 582 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,B),C))|B=C|hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,C),B)).
% 0.39/0.58 Following clause subsumed by 582 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,B),C))|hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,C),B))|B=C.
% 0.39/0.58 Following clause subsumed by 582 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|B=C|hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,B),C))|hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,C),B)).
% 0.39/0.58 Following clause subsumed by 595 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|B!=C| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,B),C)).
% 0.39/0.58 Following clause subsumed by 568 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,A),B))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),B)).
% 0.39/0.58 Following clause subsumed by 479 during input processing: 0 [] {-} A!=B|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),B)).
% 0.39/0.58 Following clause subsumed by 568 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,A),B))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),B)).
% 0.39/0.58 Following clause subsumed by 602 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),B))|hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,A),B))|A=B.
% 0.39/0.58 Following clause subsumed by 568 during input processing: 0 [] {-} hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),B))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,A),B)).
% 0.39/0.58 Following clause subsumed by 479 during input processing: 0 [] {-} hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),B))|A!=B.
% 0.39/0.58 Following clause subsumed by 568 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,A),B))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),B)).
% 0.39/0.58 Following clause subsumed by 602 during input processing: 0 [] {-} hBOOL(hAPP(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.
% 0.39/0.58 Following clause subsumed by 570 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,A),B))|hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),C),B))).
% 0.39/0.58 Following clause subsumed by 569 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,A),B))|hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B),C))).
% 0.39/0.58 Following clause subsumed by 614 during input processing: 0 [] {-} hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,A),B))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,A),hAPP(c_Nat_OSuc,B)))|A=B.
% 0.39/0.58 Following clause subsumed by 612 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,A)),hAPP(c_Nat_OSuc,B)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,A),B)).
% 0.39/0.58 Following clause subsumed by 567 during input processing: 0 [] {-} hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,A)),hAPP(c_Nat_OSuc,B)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,A),B)).
% 0.39/0.58 Following clause subsumed by 614 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,A),hAPP(c_Nat_OSuc,B)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,A),B))|A=B.
% 0.39/0.58 Following clause subsumed by 617 during input processing: 0 [] {-} hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,A),hAPP(c_Nat_OSuc,B)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,A),B)).
% 0.39/0.58 Following clause subsumed by 566 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,A),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 0.39/0.58 Following clause subsumed by 622 during input processing: 0 [] {-} A!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),A)).
% 0.39/0.58 Following clause subsumed by 566 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,A),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 0.39/0.58 Following clause subsumed by 625 during input processing: 0 [] {-} -class_Groups_Oordered__ab__group__add(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,hAPP(c_Groups_Ouminus__class_Ouminus(A),B)),C))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,hAPP(c_Groups_Ouminus__class_Ouminus(A),C)),B)).
% 0.39/0.58 Following clause subsumed by 626 during input processing: 0 [] {-} -class_Groups_Oordered__ab__group__add(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,B),hAPP(c_Groups_Ouminus__class_Ouminus(A),C)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,C),hAPP(c_Groups_Ouminus__class_Ouminus(A),B))).
% 0.39/0.58 Following clause subsumed by 627 during input processing: 0 [] {-} -class_Groups_Oordered__ab__semigroup__add__imp__le(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),C)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),D)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,C),D)).
% 0.39/0.58 Following clause subsumed by 628 during input processing: 0 [] {-} -class_Groups_Oordered__ab__semigroup__add__imp__le(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),C)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),D),C)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,B),D)).
% 0.39/0.58 Following clause subsumed by 639 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(A,B),C))|B=C.
% 0.39/0.58 Following clause subsumed by 595 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(A,B),C))|B!=C.
% 0.39/0.58 Following clause subsumed by 638 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,C),B))|hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,C),B)).
% 0.39/0.58 Following clause subsumed by 639 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(A,B),C)).
% 0.39/0.58 Following clause subsumed by 640 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,B),C))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,B),C))|B=C.
% 0.39/0.58 Following clause subsumed by 644 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,B),C))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,C),B)).
% 0.39/0.58 Following clause subsumed by 639 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(A,B),C))|B=C.
% 0.39/0.58 Following clause subsumed by 468 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,B),C))|B!=C.
% 0.39/0.58 Following clause subsumed by 641 during input processing: 0 [] {-} -class_Orderings_Opreorder(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,B),C))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,B),C)).
% 0.39/0.58 Following clause subsumed by 645 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,B),C))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,B),C)).
% 0.39/0.58 Following clause subsumed by 592 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,B),C))|B!=C.
% 0.39/0.58 Following clause subsumed by 639 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,B),C))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,B),C))|B=C.
% 0.39/0.58 Following clause subsumed by 644 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(A,C),B)).
% 0.39/0.58 Following clause subsumed by 644 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(A,C),B)).
% 0.39/0.58 Following clause subsumed by 642 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(A,C),B)).
% 0.39/0.58 Following clause subsumed by 644 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,B),C))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,C),B)).
% 0.39/0.58 Following clause subsumed by 642 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,B),C))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,C),B)).
% 0.39/0.58 Following clause subsumed by 651 during input processing: 0 [] {-} -class_Rings_Olinordered__semidom(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,c_Groups_Oone__class_Oone(A)),B))| -hBOOL(hAPP(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)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,C),D)).
% 0.39/0.58 Following clause subsumed by 652 during input processing: 0 [] {-} -class_Rings_Olinordered__semidom(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,B),C))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,c_Groups_Oone__class_Oone(A)),D))|hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Power_Opower__class_Opower(A),D),B)),hAPP(hAPP(c_Power_Opower__class_Opower(A),D),C))).
% 0.39/0.58 Following clause subsumed by 580 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))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,A)),hAPP(c_Int_Onat,B)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,A),B)).
% 0.39/0.58 Following clause subsumed by 580 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(tc_Nat_Onat,hAPP(c_Int_Onat,A)),hAPP(c_Int_Onat,B)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,A),B)).
% 0.39/0.58 Following clause subsumed by 660 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.
% 0.39/0.58 Following clause subsumed by 661 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.
% 0.39/0.58 Following clause subsumed by 678 during input processing: 0 [] {-} -class_Rings_Olinordered__ring__strict(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A)),B))|hBOOL(hAPP(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)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,C),D)).
% 0.39/0.58 Following clause subsumed by 679 during input processing: 0 [] {-} -class_Rings_Olinordered__ring__strict(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,B),c_Groups_Ozero__class_Ozero(A)))|hBOOL(hAPP(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)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,D),C)).
% 0.39/0.58 Following clause subsumed by 683 during input processing: 0 [] {-} -class_Rings_Olinordered__semiring__strict(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,B),c_Groups_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A)),C))|hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)),c_Groups_Ozero__class_Ozero(A))).
% 0.39/0.58 Following clause subsumed by 673 during input processing: 0 [] {-} -class_Rings_Olinordered__ring__strict(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,B),C))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,D),c_Groups_Ozero__class_Ozero(A)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),D)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D))).
% 0.39/0.58 Following clause subsumed by 679 during input processing: 0 [] {-} -class_Rings_Olinordered__ring__strict(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,B),C))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,D),c_Groups_Ozero__class_Ozero(A)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),C)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),B))).
% 0.39/0.58 Following clause subsumed by 620 during input processing: 0 [] {-} hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,A),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))|A!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.39/0.58 Following clause subsumed by 569 during input processing: 0 [] {-} hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),A),B)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),A)).
% 0.39/0.58 Following clause subsumed by 570 during input processing: 0 [] {-} hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),A),B)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B)).
% 0.39/0.58 Following clause subsumed by 733 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Nat_OSuc,A)),B))|hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,A),B)).
% 0.39/0.58 Following clause subsumed by 732 during input processing: 0 [] {-} hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Nat_OSuc,A)),B))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,A),B)).
% 0.39/0.58 Following clause subsumed by 735 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),B))|hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,A),hAPP(c_Nat_OSuc,B))).
% 0.39/0.58 Following clause subsumed by 732 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,A),B))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Nat_OSuc,A)),B)).
% 0.39/0.58 Following clause subsumed by 620 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),B))|hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,B),hAPP(c_Nat_OSuc,A)))|B!=A.
% 0.39/0.58 Following clause subsumed by 733 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Nat_OSuc,A)),B))|hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,A),B)).
% 0.39/0.58 Following clause subsumed by 494 during input processing: 0 [] {-} -hBOOL(hAPP(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.
% 0.39/0.58 Following clause subsumed by 739 during input processing: 0 [] {-} hBOOL(hAPP(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)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),A))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,B),C)).
% 0.39/0.58 Following clause subsumed by 747 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,A),B))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),C))|hBOOL(hAPP(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))).
% 0.39/0.58 Following clause subsumed by 739 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,A),B))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),C))|hBOOL(hAPP(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))).
% 0.39/0.58 Following clause subsumed by 744 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,A)),B)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,A)),C)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,B),C)).
% 0.39/0.58 Following clause subsumed by 759 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))).
% 0.39/0.58 Following clause subsumed by 573 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))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,A)),hAPP(c_Int_Onat,B)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,A),B)).
% 0.39/0.58 Following clause subsumed by 574 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))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,A)),hAPP(c_Int_Onat,B)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,A),B)).
% 0.39/0.58 Following clause subsumed by 552 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),A))|hBOOL(hAPP(hAPP(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)))| -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),B),C)).
% 0.39/0.58 Following clause subsumed by 796 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(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)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),A))|hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),B),C)).
% 0.39/0.58 Following clause subsumed by 511 during input processing: 0 [] {-} -hBOOL(hAPP(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)).
% 0.39/0.58 Following clause subsumed by 510 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)).
% 0.39/0.59 Following clause subsumed by 797 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(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)).
% 0.39/0.59 Following clause subsumed by 511 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)).
% 0.39/0.59 Following clause subsumed by 807 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,A),B))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),c_Groups_Oone__class_Oone(tc_Int_Oint))),B)).
% 0.39/0.59 Following clause subsumed by 809 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(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onat,A)),hAPP(c_Int_Onat,B))=hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),B)).
% 0.39/0.59 Following clause subsumed by 817 during input processing: 0 [] {-} -class_Rings_Olinordered__semidom(A)| -hBOOL(hAPP(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)).
% 0.39/0.59 Following clause subsumed by 822 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)).
% 0.39/0.59 Following clause subsumed by 603 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,A),B))|A!=B.
% 0.39/0.59 Following clause subsumed by 603 during input processing: 0 [] {-} A!=B| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,A),B)).
% 0.39/0.59 Following clause subsumed by 835 during input processing: 0 [] {-} A!=B| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,B),A)).
% 0.39/0.59 Following clause subsumed by 836 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,A),A)).
% 0.39/0.59 Following clause subsumed by 756 during input processing: 0 [] {-} -hBOOL(hAPP(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)|hBOOL(hAPP(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 758 during input processing: 0 [] {-} hBOOL(hAPP(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).
% 0.39/0.59 Following clause subsumed by 757 during input processing: 0 [] {-} hBOOL(hAPP(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)))| -hBOOL(hAPP(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 862 during input processing: 0 [] {-} c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint,A)!=c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint,B)|A=B.
% 0.39/0.59 Following clause subsumed by 863 during input processing: 0 [] {-} c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint,A)=c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint,B)|A!=B.
% 0.39/0.59 Following clause subsumed by 867 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),A),B))|hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint,A)),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint,B))).
% 0.39/0.59 Following clause subsumed by 866 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),A),B))| -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint,A)),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint,B))).
% 0.39/0.59 Following clause subsumed by 875 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint,A)),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint,B)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),B)).
% 0.39/0.59 Following clause subsumed by 876 during input processing: 0 [] {-} hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint,A)),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint,B)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),B)).
% 0.39/0.59 Following clause subsumed by 891 during input processing: 0 [] {-} -class_Rings_Olinordered__semidom(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ozero__class_Ozero(A)),c_Nat_Osemiring__1__class_Oof__nat(A,B))).
% 0.39/0.59 Following clause subsumed by 892 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint,A)),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint,B)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,A),B)).
% 0.39/0.59 Following clause subsumed by 893 during input processing: 0 [] {-} hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint,A)),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint,B)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,A),B)).
% 0.39/0.59 Following clause subsumed by 896 during input processing: 0 [] {-} -class_Rings_Olinordered__semidom(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,B),C))|hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,c_Nat_Osemiring__1__class_Oof__nat(A,B)),c_Nat_Osemiring__1__class_Oof__nat(A,C))).
% 0.39/0.59 Following clause subsumed by 895 during input processing: 0 [] {-} -class_Rings_Olinordered__semidom(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,c_Nat_Osemiring__1__class_Oof__nat(A,B)),c_Nat_Osemiring__1__class_Oof__nat(A,C)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,B),C)).
% 0.39/0.59 Following clause subsumed by 905 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_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint,hAPP(c_Int_Onat,A))=A.
% 0.39/0.59 Following clause subsumed by 990 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(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),B),A)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),C),A)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,B),C)).
% 0.39/0.59 Following clause subsumed by 1013 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),B))|hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),A),B)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.39/0.59 Following clause subsumed by 1019 during input processing: 0 [flip.2] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),B))|hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),C),B)),A)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),C),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),B),A)).
% 0.39/0.59 Following clause subsumed by 1030 during input processing: 0 [] {-} -class_Groups_Ominus(A)|hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(B,A)),C),D),E)=hAPP(hAPP(c_Groups_Ominus__class_Ominus(A),hAPP(C,E)),hAPP(D,E)).
% 0.39/0.59 Following clause subsumed by 1052 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(hAPP(c_Groups_Ominus__class_Ominus(A),B),C)),D)=hAPP(hAPP(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)).
% 0.39/0.63 Following clause subsumed by 1054 during input processing: 0 [flip.2] {-} -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(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))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),hAPP(hAPP(c_Groups_Ominus__class_Ominus(A),C),D)).
% 0.39/0.63 Following clause subsumed by 1074 during input processing: 0 [] {-} -class_Rings_Ocomm__ring(A)| -class_Rings_Odvd(A)| -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(A),B),C))| -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(A),B),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),D),E)))|hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(A),B),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),hAPP(hAPP(c_Groups_Ominus__class_Ominus(A),D),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),F),C))),E))).
% 0.39/0.63 Following clause subsumed by 1075 during input processing: 0 [] {-} -class_Rings_Ocomm__ring(A)| -class_Rings_Odvd(A)| -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(A),B),C))|hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(A),B),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),D),E)))| -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(A),B),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),hAPP(hAPP(c_Groups_Ominus__class_Ominus(A),D),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),F),C))),E))).
% 0.39/0.63 Following clause subsumed by 1078 during input processing: 0 [] {-} -hBOOL(hAPP(A,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),B),C)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,B),C))|hBOOL(hAPP(A,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 0.39/0.63 Following clause subsumed by 1079 during input processing: 0 [] {-} -hBOOL(hAPP(A,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),B),C)))|B!=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),C),D)|hBOOL(hAPP(A,D)).
% 0.39/0.63 Following clause subsumed by 1101 during input processing: 0 [flip.2] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),A))|hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),A),c_Groups_Oone__class_Oone(tc_Nat_Onat)))=A.
% 0.39/0.63 Following clause subsumed by 491 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).
% 0.39/0.63 85 back subsumes 83.
% 0.39/0.63 86 back subsumes 82.
% 0.39/0.63 Following clause subsumed by 417 during input processing: 0 [copy,416,flip.1] {-} c_Groups_Ozero__class_Ozero(tc_Nat_Onat)!=hAPP(c_Nat_OSuc,A).
% 0.39/0.63 Following clause subsumed by 416 during input processing: 0 [copy,417,flip.1] {-} hAPP(c_Nat_OSuc,A)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.39/0.63 468 back subsumes 466.
% 0.39/0.63 479 back subsumes 406.
% 0.39/0.63 494 back subsumes 410.
% 0.39/0.63 511 back subsumes 439.
% 0.39/0.63 527 back subsumes 526.
% 0.39/0.63 527 back subsumes 525.
% 0.39/0.63 536 back subsumes 533.
% 0.39/0.63 536 back subsumes 528.
% 0.39/0.63 536 back subsumes 527.
% 0.39/0.63 538 back subsumes 535.
% 0.39/0.63 538 back subsumes 529.
% 0.39/0.63 539 back subsumes 534.
% 0.39/0.63 539 back subsumes 530.
% 0.39/0.63 540 back subsumes 531.
% 0.39/0.63 540 back subsumes 483.
% 0.39/0.63 540 back subsumes 412.
% 0.39/0.63 541 back subsumes 532.
% 0.39/0.63 595 back subsumes 593.
% 0.39/0.63 620 back subsumes 619.
% 0.39/0.63 657 back subsumes 653.
% 0.39/0.63 744 back subsumes 738.
% 0.39/0.63 777 back subsumes 775.
% 0.39/0.63 778 back subsumes 776.
% 0.39/0.63 812 back subsumes 810.
% 0.39/0.63 1045 back subsumes 1040.
% 0.39/0.63 1109 back subsumes 357.
% 0.39/0.63 1250 back subsumes 1245.
% 0.39/0.63 Following clause subsumed by 418 during input processing: 0 [copy,1282,flip.1] {-} hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(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).
% 0.39/0.63 1353 back subsumes 1350.
% 0.39/0.63
% 0.39/0.63 ------------> process sos:
% 0.39/0.63 Following clause subsumed by 1418 during input processing: 0 [] {-} hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),A)).
% 0.39/0.63 Following clause subsumed by 1496 during input processing: 0 [] {-} hBOOL(hAPP(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))).
% 0.47/0.66 Following clause subsumed by 1507 during input processing: 0 [] {-} A=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),A)).
% 0.47/0.66 Following clause subsumed by 1529 during input processing: 0 [] {-} A=B|hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,A),B))|hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,B),A)).
% 0.47/0.66 Following clause subsumed by 1543 during input processing: 0 [demod,1541] {-} hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint,A)),B)=hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint,A)),B).
% 0.47/0.66 Following clause subsumed by 1553 during input processing: 0 [demod,1551] {-} hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint,A)),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint,B))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint,A)),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint,B)).
% 0.47/0.66 Following clause subsumed by 1562 during input processing: 0 [] {-} hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint,A))).
% 0.47/0.66 Following clause subsumed by 1548 during input processing: 0 [demod,1509,1523,1546] {-} c_Groups_Oone__class_Oone(tc_Int_Oint)=c_Groups_Oone__class_Oone(tc_Int_Oint).
% 0.47/0.66 Following clause subsumed by 1407 during input processing: 0 [copy,1407,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).
% 0.47/0.66 Following clause subsumed by 1750 during input processing: 0 [copy,1429,flip.1] {-} hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),A),B))=hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),A),B)).
% 0.47/0.66 Following clause subsumed by 1433 during input processing: 0 [copy,1433,flip.1] {-} hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),B)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B),A).
% 0.47/0.66 Following clause subsumed by 1434 during input processing: 0 [copy,1434,flip.1] {-} hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B),C))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),C)).
% 0.47/0.66 Following clause subsumed by 1462 during input processing: 0 [copy,1462,flip.1] {-} hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),A),B)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B),A).
% 0.47/0.66 Following clause subsumed by 1463 during input processing: 0 [copy,1463,flip.1] {-} hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B),C))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),A),C)).
% 0.47/0.66 1466 back subsumes 1384.
% 0.47/0.66 Following clause subsumed by 1468 during input processing: 0 [copy,1468,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).
% 0.47/0.66 1494 back subsumes 1365.
% 0.47/0.66 Following clause subsumed by 1750 during input processing: 0 [copy,1511,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)).
% 0.47/0.66 1529 back subsumes 1528.
% 0.47/0.66 Following clause subsumed by 1750 during input processing: 0 [copy,1543,flip.1] {-} hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint,A)),B)=hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint,A)),B).
% 0.47/0.66 Following clause subsumed by 1750 during input processing: 0 [copy,1548,flip.1] {-} c_Groups_Oone__class_Oone(tc_Int_Oint)=c_Groups_Oone__class_Oone(tc_Int_Oint).
% 0.47/0.67 Following clause subsumed by 1750 during input processing: 0 [copy,1553,flip.1] {-} hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint,A)),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint,B))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint,A)),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint,B)).
% 0.47/0.67 Following clause subsumed by 1750 during input processing: 0 [copy,1558,flip.1] {-} hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint,A)),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint,B))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint,A)),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint,B)).
% 0.47/0.67 Following clause subsumed by 1750 during input processing: 0 [copy,1560,flip.1] {-} hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint,A)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint,B)),C))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint,A)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint,B)),C)).
% 0.47/0.67 1562 back subsumes 1380.
% 0.47/0.67 Following clause subsumed by 1750 during input processing: 0 [copy,1567,flip.1] {-} c_Groups_Ozero__class_Ozero(tc_Int_Oint)=c_Groups_Ozero__class_Ozero(tc_Int_Oint).
% 0.47/0.67 Following clause subsumed by 1590 during input processing: 0 [copy,1590,flip.1] {-} hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),A),B)),C)=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),A),C)),B).
% 0.47/0.67 Following clause subsumed by 1750 during input processing: 0 [copy,1633,flip.1] {-} hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),A),B)=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),A),B).
% 0.47/0.67 Following clause subsumed by 1750 during input processing: 0 [copy,1750,flip.1] {-} A=A.
% 0.47/0.67 1750 back subsumes 1633.
% 0.47/0.67 1750 back subsumes 1567.
% 0.47/0.67 1750 back subsumes 1560.
% 0.47/0.67 1750 back subsumes 1558.
% 0.47/0.67 1750 back subsumes 1553.
% 0.47/0.67 1750 back subsumes 1548.
% 0.47/0.67 1750 back subsumes 1543.
% 0.47/0.67 1750 back subsumes 1511.
% 0.47/0.67 1750 back subsumes 1429.
% 0.47/0.67 1750 back subsumes 1387.
% 0.47/0.67 1750 back subsumes 1386.
% 0.47/0.67 1750 back subsumes 1320.
% 0.47/0.67 1750 back subsumes 1319.
% 0.47/0.67 1750 back subsumes 1313.
% 0.47/0.67 1750 back subsumes 1310.
% 0.47/0.67 1750 back subsumes 1302.
% 0.47/0.67 1750 back subsumes 1301.
% 0.47/0.67 1750 back subsumes 1292.
% 0.47/0.67 1750 back subsumes 1291.
% 0.47/0.67 1750 back subsumes 1289.
% 0.47/0.67 1750 back subsumes 1281.
% 0.47/0.67 Following clause subsumed by 1417 during input processing: 0 [copy,1751,flip.1] {-} hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),B)),C)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),A),C)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),B),C)).
% 0.47/0.67 Following clause subsumed by 1759 during input processing: 0 [copy,1755,flip.1] {-} hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),A))!=c_Groups_Ozero__class_Ozero(tc_Int_Oint).
% 0.47/0.67 Following clause subsumed by 1755 during input processing: 0 [copy,1759,flip.1] {-} c_Groups_Ozero__class_Ozero(tc_Int_Oint)!=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),A)).
% 0.47/0.67 Following clause subsumed by 1439 during input processing: 0 [copy,1762,flip.1] {-} hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),A)),A)=c_Groups_Ozero__class_Ozero(tc_Int_Oint).
% 0.47/0.67 Following clause subsumed by 1453 during input processing: 0 [copy,1802,flip.1] {-} hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,A)),B)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B)).
% 0.47/0.67 Following clause subsumed by 1481 during input processing: 0 [copy,1809,flip.1] {-} hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),A),B)),C)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(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)).
% 0.47/0.67 1825 back subsumes 1306.
% 0.47/0.67 Following clause subsumed by 1942 during input processing: 0 [copy,1941,flip.1] {-} hAPP(c_Nat_OSuc,A)!=hAPP(c_Int_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 0.47/0.67 Following clause subsumed by 1941 during input processing: 0 [copy,1942,flip.1] {-} hAPP(c_Int_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint))!=hAPP(c_Nat_OSuc,A).
% 0.47/0.67 Following clause subsumed by 1574 during input processing: 0 [copy,1978,flip.1] {-} hAPP(c_Int_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint,A)))=hAPP(c_Int_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 0.47/0.67 Following clause subsumed by 1583 during input processing: 0 [copy,1979,flip.1] {-} hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),A),B))=hAPP(c_Int_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 0.47/0.67 Following clause subsumed by 1591 during input processing: 0 [copy,1980,flip.1] {-} hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),A),B)),C)=hAPP(hAPP(c_Groups_Ominus__class_Ominus(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)).
% 0.47/0.67 Following clause subsumed by 1600 during input processing: 0 [copy,1981,flip.1] {-} hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),A),B)),C)=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B),C)).
% 0.47/0.67 Following clause subsumed by 1610 during input processing: 0 [copy,1982,flip.1] {-} hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),A),A)=hAPP(c_Int_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 0.47/0.67 Following clause subsumed by 1618 during input processing: 0 [copy,1983,flip.1] {-} hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),A),hAPP(c_Nat_OSuc,B))=hAPP(c_Nat_Onat_Onat__case(tc_Nat_Onat,hAPP(c_Int_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_COMBI(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),A),B)).
% 0.47/0.67 Following clause subsumed by 1746 during input processing: 0 [copy,1986,flip.1] {-} hAPP(hAPP(c_COMBC(A,B,C,D),E),F)=hAPP(hAPP(D,F),E).
% 0.47/0.67 Following clause subsumed by 1747 during input processing: 0 [copy,1987,flip.1] {-} hAPP(hAPP(hAPP(c_COMBS(A,B,C),D),E),F)=hAPP(hAPP(D,F),hAPP(E,F)).
% 0.47/0.67 Following clause subsumed by 1965 during input processing: 0 [copy,1990,flip.1] {-} c_Int_Onat__aux(c_Groups_Oone__class_Oone(tc_Int_Oint),A)=hAPP(c_Nat_OSuc,A).
% 0.47/0.67
% 0.47/0.67 ======= end of input processing =======
% 0.47/0.68
% 0.47/0.68 SEGMENTATION FAULT!! This is probably caused by a
% 0.47/0.68 bug in Otter. Please send copy of the input file to
% 0.47/0.68 otter@mcs.anl.gov, let us know what version of Otter you are
% 0.47/0.68 using, and send any other info that might be useful.
% 0.47/0.68
% 0.47/0.68
% 0.47/0.68 SEGMENTATION FAULT!! This is probably caused by a
% 0.47/0.68 bug in Otter. Please send copy of the input file to
% 0.47/0.68 otter@mcs.anl.gov, let us know what version of Otter you are
% 0.47/0.68 using, and send any other info that might be useful.
% 0.47/0.68
% 0.47/0.68
% 0.47/0.68 The job finished Mon Jun 6 05:19:54 2022
%------------------------------------------------------------------------------