TSTP Solution File: SWW198+1 by SOS---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : SWW198+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n024.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 01:26:20 EDT 2022
% Result : Unknown 0.45s 0.64s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWW198+1 : TPTP v8.1.0. Released v5.2.0.
% 0.06/0.13 % Command : sos-script %s
% 0.12/0.34 % Computer : n024.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sun Jun 5 04:14:20 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.51 ----- Otter 3.2, August 2001 -----
% 0.19/0.51 The process was started by sandbox2 on n024.cluster.edu,
% 0.19/0.51 Sun Jun 5 04:14:20 2022
% 0.19/0.51 The command was "./sos". The process ID is 7569.
% 0.19/0.51
% 0.19/0.51 set(prolog_style_variables).
% 0.19/0.51 set(auto).
% 0.19/0.51 dependent: set(auto1).
% 0.19/0.51 dependent: set(process_input).
% 0.19/0.51 dependent: clear(print_kept).
% 0.19/0.51 dependent: clear(print_new_demod).
% 0.19/0.51 dependent: clear(print_back_demod).
% 0.19/0.51 dependent: clear(print_back_sub).
% 0.19/0.51 dependent: set(control_memory).
% 0.19/0.51 dependent: assign(max_mem, 12000).
% 0.19/0.51 dependent: assign(pick_given_ratio, 4).
% 0.19/0.51 dependent: assign(stats_level, 1).
% 0.19/0.51 dependent: assign(pick_semantic_ratio, 3).
% 0.19/0.51 dependent: assign(sos_limit, 5000).
% 0.19/0.51 dependent: assign(max_weight, 60).
% 0.19/0.51 clear(print_given).
% 0.19/0.51
% 0.19/0.51 formula_list(usable).
% 0.19/0.51
% 0.19/0.51 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=7.
% 0.19/0.51
% 0.19/0.51 This ia a non-Horn set with equality. The strategy will be
% 0.19/0.51 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.19/0.51 unit deletion, with positive clauses in sos and nonpositive
% 0.19/0.51 clauses in usable.
% 0.19/0.51
% 0.19/0.51 dependent: set(knuth_bendix).
% 0.19/0.51 dependent: set(para_from).
% 0.19/0.51 dependent: set(para_into).
% 0.19/0.51 dependent: clear(para_from_right).
% 0.19/0.51 dependent: clear(para_into_right).
% 0.19/0.51 dependent: set(para_from_vars).
% 0.19/0.51 dependent: set(eq_units_both_ways).
% 0.19/0.51 dependent: set(dynamic_demod_all).
% 0.19/0.51 dependent: set(dynamic_demod).
% 0.19/0.51 dependent: set(order_eq).
% 0.19/0.51 dependent: set(back_demod).
% 0.19/0.51 dependent: set(lrpo).
% 0.19/0.51 dependent: set(hyper_res).
% 0.19/0.51 dependent: set(unit_deletion).
% 0.19/0.51 dependent: set(factor).
% 0.19/0.51
% 0.19/0.51 ------------> process usable:
% 0.19/0.51 Following clause subsumed by 19 during input processing: 0 [] {-} c_Int_OBit1(A)!=c_Int_OPls.
% 0.19/0.51 Following clause subsumed by 20 during input processing: 0 [flip.1] {-} c_Nat_OSuc(A)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.19/0.51 Following clause subsumed by 20 during input processing: 0 [] {-} c_Nat_OSuc(A)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.19/0.51 Following clause subsumed by 20 during input processing: 0 [] {-} c_Nat_OSuc(A)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.19/0.51 Following clause subsumed by 20 during input processing: 0 [flip.1] {-} c_Nat_OSuc(A)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.19/0.51 Following clause subsumed by 20 during input processing: 0 [flip.1] {-} c_Nat_OSuc(A)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.19/0.51 Following clause subsumed by 31 during input processing: 0 [] {-} -class_Int_Onumber__ring(A)|c_Groups_Ozero__class_Ozero(A)=c_Int_Onumber__class_Onumber__of(A,c_Int_OPls).
% 0.19/0.51 Following clause subsumed by 41 during input processing: 0 [] {-} c_Nat_OSuc(A)!=c_Nat_OSuc(B)|A=B.
% 0.19/0.51 Following clause subsumed by 43 during input processing: 0 [flip.1] {-} c_Nat_OSuc(A)!=A.
% 0.19/0.51 Following clause subsumed by 49 during input processing: 0 [] {-} -class_Int_Onumber__ring(A)|c_Int_Onumber__class_Onumber__of(A,c_Groups_Otimes__class_Otimes(tc_Int_Oint,B,C))=c_Groups_Otimes__class_Otimes(A,c_Int_Onumber__class_Onumber__of(A,B),c_Int_Onumber__class_Onumber__of(A,C)).
% 0.19/0.51 Following clause subsumed by 24 during input processing: 0 [] {-} c_Groups_Otimes__class_Otimes(tc_Nat_Onat,A,B)!=c_Groups_Otimes__class_Otimes(tc_Nat_Onat,A,C)|A=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|B=C.
% 0.19/0.51 Following clause subsumed by 26 during input processing: 0 [] {-} c_Groups_Otimes__class_Otimes(tc_Nat_Onat,A,B)=c_Groups_Otimes__class_Otimes(tc_Nat_Onat,A,C)|A!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.19/0.51 Following clause subsumed by 25 during input processing: 0 [] {-} c_Groups_Otimes__class_Otimes(tc_Nat_Onat,A,B)=c_Groups_Otimes__class_Otimes(tc_Nat_Onat,A,C)|B!=C.
% 0.19/0.51 Following clause subsumed by 63 during input processing: 0 [] {-} -class_Rings_Ono__zero__divisors(A)|B=c_Groups_Ozero__class_Ozero(A)|C=c_Groups_Ozero__class_Ozero(A)|c_Groups_Otimes__class_Otimes(A,B,C)!=c_Groups_Ozero__class_Ozero(A).
% 0.19/0.51 Following clause subsumed by 76 during input processing: 0 [] {-} -class_Groups_Omonoid__mult(A)| -class_Int_Onumber(A)|c_Power_Opower__class_Opower(A,c_Int_Onumber__class_Onumber__of(A,B),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))=c_Groups_Otimes__class_Otimes(A,c_Int_Onumber__class_Onumber__of(A,B),c_Int_Onumber__class_Onumber__of(A,B)).
% 0.19/0.51 Following clause subsumed by 86 during input processing: 0 [flip.2] {-} -class_Rings_Ocomm__semiring__1(A)|c_Power_Opower__class_Opower(A,B,c_Nat_OSuc(C))=c_Groups_Otimes__class_Otimes(A,B,c_Power_Opower__class_Opower(A,B,C)).
% 0.19/0.51 Following clause subsumed by 94 during input processing: 0 [flip.2] {-} -class_Rings_Ocomm__semiring__1(A)|c_Groups_Otimes__class_Otimes(A,c_Groups_Otimes__class_Otimes(A,B,C),D)=c_Groups_Otimes__class_Otimes(A,B,c_Groups_Otimes__class_Otimes(A,C,D)).
% 0.19/0.51 Following clause subsumed by 119 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|c_Groups_Otimes__class_Otimes(A,B,c_Groups_Ozero__class_Ozero(A))=c_Groups_Ozero__class_Ozero(A).
% 0.19/0.51 Following clause subsumed by 120 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|c_Groups_Otimes__class_Otimes(A,c_Groups_Ozero__class_Ozero(A),B)=c_Groups_Ozero__class_Ozero(A).
% 0.19/0.51 Following clause subsumed by 129 during input processing: 0 [] {-} -class_Int_Onumber__ring(A)|c_Int_Onumber__class_Onumber__of(A,c_Groups_Oplus__class_Oplus(tc_Int_Oint,B,C))=c_Groups_Oplus__class_Oplus(A,c_Int_Onumber__class_Onumber__of(A,B),c_Int_Onumber__class_Onumber__of(A,C)).
% 0.19/0.51 Following clause subsumed by 133 during input processing: 0 [] {-} -class_Rings_Ocomm__semiring__1(A)|c_Groups_Oplus__class_Oplus(A,c_Groups_Oplus__class_Oplus(A,B,C),D)=c_Groups_Oplus__class_Oplus(A,B,c_Groups_Oplus__class_Oplus(A,C,D)).
% 0.19/0.51 Following clause subsumed by 163 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(A),B)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B).
% 0.19/0.51 Following clause subsumed by 162 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(A),B)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B).
% 0.19/0.51 Following clause subsumed by 165 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,B)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,c_Nat_OSuc(B)).
% 0.19/0.51 Following clause subsumed by 162 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(A),B).
% 0.19/0.51 Following clause subsumed by 163 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(A),B)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B).
% 0.19/0.51 Following clause subsumed by 174 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|c_Groups_Otimes__class_Otimes(A,B,c_Groups_Oplus__class_Oplus(A,C,D))=c_Groups_Oplus__class_Oplus(A,c_Groups_Otimes__class_Otimes(A,B,C),c_Groups_Otimes__class_Otimes(A,B,D)).
% 0.19/0.51 Following clause subsumed by 175 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|c_Groups_Otimes__class_Otimes(A,c_Groups_Oplus__class_Oplus(A,B,C),D)=c_Groups_Oplus__class_Oplus(A,c_Groups_Otimes__class_Otimes(A,B,D),c_Groups_Otimes__class_Otimes(A,C,D)).
% 0.19/0.51 Following clause subsumed by 206 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit0(A),c_Int_OBit1(B))|c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,A,B).
% 0.19/0.51 Following clause subsumed by 207 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit0(A),c_Int_OBit1(B))| -c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,A,B).
% 0.19/0.51 Following clause subsumed by 208 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OBit1(A),c_Int_OBit0(B))|c_Orderings_Oord__class_Oless(tc_Int_Oint,A,B).
% 0.19/0.51 Following clause subsumed by 209 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OBit1(A),c_Int_OBit0(B))| -c_Orderings_Oord__class_Oless(tc_Int_Oint,A,B).
% 0.19/0.51 Following clause subsumed by 216 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Otimes__class_Otimes(tc_Nat_Onat,A,B),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__eq(tc_Nat_Onat,B,C).
% 0.19/0.51 Following clause subsumed by 236 during input processing: 0 [flip.2] {-} -class_Rings_Ocomm__semiring__1(A)|c_Groups_Otimes__class_Otimes(A,c_Groups_Oplus__class_Oplus(A,B,D),C)=c_Groups_Oplus__class_Oplus(A,c_Groups_Otimes__class_Otimes(A,B,C),c_Groups_Otimes__class_Otimes(A,D,C)).
% 0.19/0.51 Following clause subsumed by 233 during input processing: 0 [] {-} -class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(A)|c_Groups_Oplus__class_Oplus(A,c_Groups_Otimes__class_Otimes(A,B,C),c_Groups_Otimes__class_Otimes(A,D,E))!=c_Groups_Oplus__class_Oplus(A,c_Groups_Otimes__class_Otimes(A,B,E),c_Groups_Otimes__class_Otimes(A,D,C))|B=D|C=E.
% 0.19/0.51 Following clause subsumed by 234 during input processing: 0 [] {-} -class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(A)|c_Groups_Oplus__class_Oplus(A,c_Groups_Otimes__class_Otimes(A,B,C),c_Groups_Otimes__class_Otimes(A,D,E))=c_Groups_Oplus__class_Oplus(A,c_Groups_Otimes__class_Otimes(A,B,E),c_Groups_Otimes__class_Otimes(A,D,C))|B!=D.
% 0.19/0.51 Following clause subsumed by 235 during input processing: 0 [] {-} -class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(A)|c_Groups_Oplus__class_Oplus(A,c_Groups_Otimes__class_Otimes(A,B,C),c_Groups_Otimes__class_Otimes(A,D,E))=c_Groups_Oplus__class_Oplus(A,c_Groups_Otimes__class_Otimes(A,B,E),c_Groups_Otimes__class_Otimes(A,D,C))|C!=E.
% 0.19/0.51 Following clause subsumed by 244 during input processing: 0 [] {-} c_Int_OPls!=c_Int_OMin.
% 0.19/0.51 Following clause subsumed by 246 during input processing: 0 [] {-} c_Int_OBit0(A)!=c_Int_OMin.
% 0.19/0.51 Following clause subsumed by 121 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 0.19/0.51 Following clause subsumed by 254 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).
% 0.19/0.51 Following clause subsumed by 121 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 0.19/0.51 Following clause subsumed by 251 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),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)|B=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.19/0.51 Following clause subsumed by 253 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),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).
% 0.19/0.51 Following clause subsumed by 252 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Power_Opower__class_Opower(tc_Nat_Onat,A,B))|B!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.19/0.51 Following clause subsumed by 258 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit1(A),c_Int_OBit1(B))|c_Orderings_Oord__class_Oless(tc_Int_Oint,A,B).
% 0.19/0.51 Following clause subsumed by 259 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit1(A),c_Int_OBit1(B))| -c_Orderings_Oord__class_Oless(tc_Int_Oint,A,B).
% 0.19/0.51 Following clause subsumed by 261 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit0(A),c_Int_OBit0(B))|c_Orderings_Oord__class_Oless(tc_Int_Oint,A,B).
% 0.19/0.51 Following clause subsumed by 262 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit0(A),c_Int_OBit0(B))| -c_Orderings_Oord__class_Oless(tc_Int_Oint,A,B).
% 0.19/0.51 Following clause subsumed by 122 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).
% 0.19/0.51 Following clause subsumed by 264 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.
% 0.19/0.51 Following clause subsumed by 266 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.
% 0.19/0.51 Following clause subsumed by 265 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,c_Nat_OSuc(B)).
% 0.19/0.51 Following clause subsumed by 264 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.
% 0.19/0.51 Following clause subsumed by 267 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).
% 0.19/0.51 Following clause subsumed by 272 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OBit1(A),c_Int_OBit1(B))|c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,A,B).
% 0.19/0.51 Following clause subsumed by 273 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OBit1(A),c_Int_OBit1(B))| -c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,A,B).
% 0.19/0.51 Following clause subsumed by 277 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,B)|c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,c_Nat_OSuc(B)).
% 0.19/0.51 Following clause subsumed by 276 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,c_Nat_OSuc(B))|c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,B)|A=c_Nat_OSuc(B).
% 0.19/0.51 Following clause subsumed by 282 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OBit0(A),c_Int_OBit0(B))|c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,A,B).
% 0.19/0.51 Following clause subsumed by 283 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OBit0(A),c_Int_OBit0(B))| -c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,A,B).
% 0.19/0.51 Following clause subsumed by 219 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,B)|c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Otimes__class_Otimes(tc_Nat_Onat,A,C),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,B,C)).
% 0.19/0.51 Following clause subsumed by 220 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,B)|c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Otimes__class_Otimes(tc_Nat_Onat,C,A),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,C,B)).
% 0.19/0.51 Following clause subsumed by 291 during input processing: 0 [] {-} -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,B))| -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,A)|c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,B).
% 0.19/0.51 Following clause subsumed by 290 during input processing: 0 [] {-} -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,B))|c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,A)| -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,B).
% 0.19/0.51 Following clause subsumed by 292 during input processing: 0 [] {-} c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,B))| -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,A)| -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,B).
% 0.19/0.51 Following clause subsumed by 292 during input processing: 0 [] {-} c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,B))| -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,A)| -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,B).
% 0.19/0.51 Following clause subsumed by 290 during input processing: 0 [] {-} -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,B))|c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,A)| -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,B).
% 0.19/0.51 Following clause subsumed by 291 during input processing: 0 [] {-} -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,B))| -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,A)|c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,B).
% 0.19/0.51 Following clause subsumed by 310 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,c_Groups_Otimes__class_Otimes(A,B,C),c_Groups_Otimes__class_Otimes(A,B,D))| -c_Orderings_Oord__class_Oless(A,D,C).
% 0.19/0.51 Following clause subsumed by 316 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,c_Groups_Otimes__class_Otimes(A,C,B),c_Groups_Ozero__class_Ozero(A)).
% 0.19/0.51 Following clause subsumed by 323 during input processing: 0 [] {-} -class_Rings_Olinordered__ring__strict(A)|c_Orderings_Oord__class_Oless(A,c_Groups_Otimes__class_Otimes(A,B,C),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).
% 0.19/0.51 Following clause subsumed by 310 during input processing: 0 [] {-} -class_Rings_Olinordered__ring__strict(A)|c_Orderings_Oord__class_Oless(A,c_Groups_Otimes__class_Otimes(A,B,C),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).
% 0.19/0.51 Following clause subsumed by 311 during input processing: 0 [] {-} -class_Rings_Olinordered__ring__strict(A)|c_Orderings_Oord__class_Oless(A,c_Groups_Otimes__class_Otimes(A,B,C),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).
% 0.19/0.51 Following clause subsumed by 337 during input processing: 0 [] {-} -class_Rings_Oordered__ring(A)| -c_Orderings_Oord__class_Oless__eq(A,B,c_Groups_Ozero__class_Ozero(A))| -c_Orderings_Oord__class_Oless__eq(A,C,c_Groups_Ozero__class_Ozero(A))|c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ozero__class_Ozero(A),c_Groups_Otimes__class_Otimes(A,B,C)).
% 0.19/0.51 Following clause subsumed by 335 during input processing: 0 [] {-} -class_Rings_Oordered__cancel__semiring(A)| -c_Orderings_Oord__class_Oless__eq(A,B,c_Groups_Ozero__class_Ozero(A))| -c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ozero__class_Ozero(A),C)|c_Orderings_Oord__class_Oless__eq(A,c_Groups_Otimes__class_Otimes(A,B,C),c_Groups_Ozero__class_Ozero(A)).
% 0.19/0.51 Following clause subsumed by 335 during input processing: 0 [] {-} -class_Rings_Oordered__cancel__semiring(A)| -c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ozero__class_Ozero(A),B)| -c_Orderings_Oord__class_Oless__eq(A,C,c_Groups_Ozero__class_Ozero(A))|c_Orderings_Oord__class_Oless__eq(A,c_Groups_Otimes__class_Otimes(A,C,B),c_Groups_Ozero__class_Ozero(A)).
% 0.19/0.51 Following clause subsumed by 334 during input processing: 0 [] {-} -class_Rings_Oordered__cancel__semiring(A)| -c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ozero__class_Ozero(A),B)| -c_Orderings_Oord__class_Oless__eq(A,C,c_Groups_Ozero__class_Ozero(A))|c_Orderings_Oord__class_Oless__eq(A,c_Groups_Otimes__class_Otimes(A,B,C),c_Groups_Ozero__class_Ozero(A)).
% 0.19/0.51 Following clause subsumed by 389 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).
% 0.19/0.51 Following clause subsumed by 395 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit1(A),c_Int_OBit0(B))|c_Orderings_Oord__class_Oless(tc_Int_Oint,A,B).
% 0.19/0.51 Following clause subsumed by 396 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit1(A),c_Int_OBit0(B))| -c_Orderings_Oord__class_Oless(tc_Int_Oint,A,B).
% 0.19/0.51 Following clause subsumed by 406 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OBit0(A),c_Int_OBit1(B))|c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,A,B).
% 0.19/0.51 Following clause subsumed by 407 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OBit0(A),c_Int_OBit1(B))| -c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,A,B).
% 0.19/0.51 Following clause subsumed by 251 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Power_Opower__class_Opower(tc_Nat_Onat,A,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,B)))|c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,B)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),A).
% 0.19/0.51 Following clause subsumed by 252 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Power_Opower__class_Opower(tc_Nat_Onat,A,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,B)))|c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,B)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.19/0.51 Following clause subsumed by 253 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Power_Opower__class_Opower(tc_Nat_Onat,A,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,B)))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),A).
% 0.19/0.51 Following clause subsumed by 25 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),A)|c_Groups_Otimes__class_Otimes(tc_Nat_Onat,A,B)=c_Groups_Otimes__class_Otimes(tc_Nat_Onat,A,C)|B!=C.
% 0.19/0.51 Following clause subsumed by 413 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),C)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Otimes__class_Otimes(tc_Nat_Onat,C,A),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,C,B)).
% 0.19/0.51 Following clause subsumed by 415 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Otimes__class_Otimes(tc_Nat_Onat,A,B),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).
% 0.19/0.51 Following clause subsumed by 413 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Otimes__class_Otimes(tc_Nat_Onat,A,B),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).
% 0.19/0.51 Following clause subsumed by 419 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Nat_OSuc(A),B),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Nat_OSuc(A),C))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,B,C).
% 0.19/0.51 Following clause subsumed by 220 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Nat_OSuc(A),B),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Nat_OSuc(A),C))| -c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,B,C).
% 0.19/0.51 Following clause subsumed by 201 during input processing: 0 [] {-} -class_Rings_Olinordered__semidom(A)| -c_Orderings_Oord__class_Oless(A,c_Power_Opower__class_Opower(A,B,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Power_Opower__class_Opower(A,C,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))| -c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ozero__class_Ozero(A),C)|c_Orderings_Oord__class_Oless(A,B,C).
% 0.19/0.51 Following clause subsumed by 445 during input processing: 0 [] {-} -class_Rings_Olinordered__idom(A)| -c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ozero__class_Ozero(A),c_Power_Opower__class_Opower(A,B,C))|c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ozero__class_Ozero(A),B)|c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,C).
% 0.19/0.51 Following clause subsumed by 445 during input processing: 0 [] {-} -class_Rings_Olinordered__idom(A)| -c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ozero__class_Ozero(A),c_Power_Opower__class_Opower(A,B,C))|c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,C)|c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ozero__class_Ozero(A),B).
% 0.19/0.52 Following clause subsumed by 449 during input processing: 0 [] {-} -class_Rings_Olinordered__idom(A)|c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ozero__class_Ozero(A),c_Power_Opower__class_Opower(A,B,C))| -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,C).
% 0.19/0.52 Following clause subsumed by 448 during input processing: 0 [] {-} -class_Rings_Olinordered__idom(A)|c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ozero__class_Ozero(A),c_Power_Opower__class_Opower(A,B,C))|c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,C)| -c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ozero__class_Ozero(A),B).
% 0.19/0.52 Following clause subsumed by 442 during input processing: 0 [] {-} -class_Rings_Olinordered__idom(A)| -c_Orderings_Oord__class_Oless(A,c_Power_Opower__class_Opower(A,B,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,C)),c_Groups_Ozero__class_Ozero(A))| -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,C)).
% 0.19/0.52 Following clause subsumed by 443 during input processing: 0 [] {-} -class_Rings_Olinordered__idom(A)| -c_Orderings_Oord__class_Oless(A,c_Power_Opower__class_Opower(A,B,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,C)),c_Groups_Ozero__class_Ozero(A))|c_Orderings_Oord__class_Oless(A,B,c_Groups_Ozero__class_Ozero(A)).
% 0.19/0.52 Following clause subsumed by 444 during input processing: 0 [] {-} -class_Rings_Olinordered__idom(A)|c_Orderings_Oord__class_Oless(A,c_Power_Opower__class_Opower(A,B,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,C)),c_Groups_Ozero__class_Ozero(A))|c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,C))| -c_Orderings_Oord__class_Oless(A,B,c_Groups_Ozero__class_Ozero(A)).
% 0.19/0.52 Following clause subsumed by 445 during input processing: 0 [] {-} -class_Rings_Olinordered__idom(A)| -c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ozero__class_Ozero(A),c_Power_Opower__class_Opower(A,B,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,C)))|c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,C))|c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ozero__class_Ozero(A),B).
% 0.19/0.52 Following clause subsumed by 449 during input processing: 0 [] {-} -class_Rings_Olinordered__idom(A)|c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ozero__class_Ozero(A),c_Power_Opower__class_Opower(A,B,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,C)))| -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,C)).
% 0.19/0.52 Following clause subsumed by 448 during input processing: 0 [] {-} -class_Rings_Olinordered__idom(A)|c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ozero__class_Ozero(A),c_Power_Opower__class_Opower(A,B,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,C)))|c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,C))| -c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ozero__class_Ozero(A),B).
% 0.19/0.52 Following clause subsumed by 460 during input processing: 0 [] {-} -class_Rings_Olinordered__idom(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),c_Power_Opower__class_Opower(A,B,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,C)))|c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,C)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,C))|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),B).
% 0.19/0.52 Following clause subsumed by 461 during input processing: 0 [] {-} -class_Rings_Olinordered__idom(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),c_Power_Opower__class_Opower(A,B,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,C)))|c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,C)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|B!=c_Groups_Ozero__class_Ozero(A)| -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,C)).
% 0.19/0.52 Following clause subsumed by 462 during input processing: 0 [] {-} -class_Rings_Olinordered__idom(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),c_Power_Opower__class_Opower(A,B,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,C)))|c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,C)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|B!=c_Groups_Ozero__class_Ozero(A)|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),B).
% 0.19/0.52 Following clause subsumed by 463 during input processing: 0 [] {-} -class_Rings_Olinordered__idom(A)|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),c_Power_Opower__class_Opower(A,B,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,C)))|c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,C)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.19/0.52 Following clause subsumed by 464 during input processing: 0 [] {-} -class_Rings_Olinordered__idom(A)|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),c_Power_Opower__class_Opower(A,B,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,C)))| -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,C))|B=c_Groups_Ozero__class_Ozero(A).
% 0.19/0.52 Following clause subsumed by 465 during input processing: 0 [] {-} -class_Rings_Olinordered__idom(A)|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),c_Power_Opower__class_Opower(A,B,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,C)))|c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,C))| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),B).
% 0.19/0.52 Following clause subsumed by 466 during input processing: 0 [] {-} -class_Rings_Olinordered__idom(A)| -c_Orderings_Oord__class_Oless__eq(A,c_Power_Opower__class_Opower(A,B,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,C)),c_Groups_Ozero__class_Ozero(A))|c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,C)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.19/0.52 Following clause subsumed by 467 during input processing: 0 [] {-} -class_Rings_Olinordered__idom(A)| -c_Orderings_Oord__class_Oless__eq(A,c_Power_Opower__class_Opower(A,B,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,C)),c_Groups_Ozero__class_Ozero(A))| -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,C))|B=c_Groups_Ozero__class_Ozero(A).
% 0.19/0.52 Following clause subsumed by 468 during input processing: 0 [] {-} -class_Rings_Olinordered__idom(A)| -c_Orderings_Oord__class_Oless__eq(A,c_Power_Opower__class_Opower(A,B,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,C)),c_Groups_Ozero__class_Ozero(A))|c_Orderings_Oord__class_Oless__eq(A,B,c_Groups_Ozero__class_Ozero(A))|c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,C)).
% 0.19/0.52 Following clause subsumed by 469 during input processing: 0 [] {-} -class_Rings_Olinordered__idom(A)| -c_Orderings_Oord__class_Oless__eq(A,c_Power_Opower__class_Opower(A,B,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,C)),c_Groups_Ozero__class_Ozero(A))|c_Orderings_Oord__class_Oless__eq(A,B,c_Groups_Ozero__class_Ozero(A))|B=c_Groups_Ozero__class_Ozero(A).
% 0.19/0.52 Following clause subsumed by 470 during input processing: 0 [] {-} -class_Rings_Olinordered__idom(A)|c_Orderings_Oord__class_Oless__eq(A,c_Power_Opower__class_Opower(A,B,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,C)),c_Groups_Ozero__class_Ozero(A))|c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,C)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,C))| -c_Orderings_Oord__class_Oless__eq(A,B,c_Groups_Ozero__class_Ozero(A)).
% 0.19/0.52 Following clause subsumed by 471 during input processing: 0 [] {-} -class_Rings_Olinordered__idom(A)|c_Orderings_Oord__class_Oless__eq(A,c_Power_Opower__class_Opower(A,B,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,C)),c_Groups_Ozero__class_Ozero(A))|c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,C)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)| -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,C))|B!=c_Groups_Ozero__class_Ozero(A).
% 0.19/0.52 Following clause subsumed by 498 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|A!=B.
% 0.19/0.52 Following clause subsumed by 504 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,B)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|A=B.
% 0.19/0.52 Following clause subsumed by 503 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,B)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B).
% 0.19/0.52 Following clause subsumed by 495 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,A).
% 0.19/0.52 Following clause subsumed by 499 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|B!=A.
% 0.19/0.52 Following clause subsumed by 498 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|A!=B.
% 0.19/0.52 Following clause subsumed by 508 during input processing: 0 [] {-} A!=B|c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,B).
% 0.19/0.52 Following clause subsumed by 503 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,B).
% 0.19/0.52 Following clause subsumed by 504 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,B)|A=B|c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B).
% 0.19/0.52 Following clause subsumed by 535 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,B),C)|c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,C).
% 0.19/0.52 Following clause subsumed by 534 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,B),C)|c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,B,C).
% 0.19/0.52 Following clause subsumed by 503 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,B).
% 0.19/0.52 Following clause subsumed by 508 during input processing: 0 [] {-} A!=B|c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,B).
% 0.19/0.52 Following clause subsumed by 538 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,A,B)|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,A,B).
% 0.19/0.52 Following clause subsumed by 537 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,A,B)| -c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,A,B)|A=B.
% 0.19/0.52 Following clause subsumed by 545 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.
% 0.19/0.52 Following clause subsumed by 547 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.
% 0.19/0.52 Following clause subsumed by 572 during input processing: 0 [] {-} -class_Groups_Oordered__ab__semigroup__add__imp__le(A)| -c_Orderings_Oord__class_Oless__eq(A,c_Groups_Oplus__class_Oplus(A,B,C),c_Groups_Oplus__class_Oplus(A,D,C))|c_Orderings_Oord__class_Oless__eq(A,B,D).
% 0.19/0.52 Following clause subsumed by 574 during input processing: 0 [] {-} -class_Groups_Oordered__ab__semigroup__add__imp__le(A)| -c_Orderings_Oord__class_Oless__eq(A,c_Groups_Oplus__class_Oplus(A,B,C),c_Groups_Oplus__class_Oplus(A,B,D))|c_Orderings_Oord__class_Oless__eq(A,C,D).
% 0.19/0.52 Following clause subsumed by 579 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).
% 0.19/0.52 Following clause subsumed by 581 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).
% 0.19/0.52 Following clause subsumed by 590 during input processing: 0 [] {-} -class_Groups_Oordered__comm__monoid__add(A)| -c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ozero__class_Ozero(A),B)| -c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ozero__class_Ozero(A),C)|c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ozero__class_Ozero(A),c_Groups_Oplus__class_Oplus(A,B,C)).
% 0.19/0.52 Following clause subsumed by 618 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,A,B)|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_NthRoot_Osqrt(A),c_NthRoot_Osqrt(B)).
% 0.19/0.52 Following clause subsumed by 625 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_NthRoot_Osqrt(A),c_NthRoot_Osqrt(B))| -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,A,B).
% 0.19/0.52 Following clause subsumed by 621 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),A)|c_NthRoot_Osqrt(A)!=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|A=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal).
% 0.19/0.52 Following clause subsumed by 629 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(A))| -c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),A).
% 0.19/0.52 Following clause subsumed by 634 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_NthRoot_Osqrt(A)).
% 0.19/0.52 Following clause subsumed by 638 during input processing: 0 [] {-} -class_Orderings_Oord(A)| -c_Orderings_Oord__class_Oless__eq(tc_fun(B,A),C,D)|c_Orderings_Oord__class_Oless__eq(A,hAPP(C,E),hAPP(D,E)).
% 0.19/0.52 Following clause subsumed by 643 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -c_Orderings_Oord__class_Oless__eq(A,B,C)| -c_Orderings_Oord__class_Oless__eq(A,C,B)|C=B.
% 0.19/0.52 Following clause subsumed by 641 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -c_Orderings_Oord__class_Oless__eq(A,B,C)|c_Orderings_Oord__class_Oless__eq(A,C,B)|C!=B.
% 0.19/0.52 Following clause subsumed by 643 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -c_Orderings_Oord__class_Oless__eq(A,B,C)| -c_Orderings_Oord__class_Oless__eq(A,C,B)|B=C.
% 0.19/0.52 Following clause subsumed by 643 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -c_Orderings_Oord__class_Oless__eq(A,B,C)| -c_Orderings_Oord__class_Oless__eq(A,C,B)|C=B.
% 0.19/0.52 Following clause subsumed by 638 during input processing: 0 [] {-} -class_Orderings_Oord(A)| -c_Orderings_Oord__class_Oless__eq(tc_fun(B,A),C,D)|c_Orderings_Oord__class_Oless__eq(A,hAPP(C,E),hAPP(D,E)).
% 0.19/0.52 Following clause subsumed by 640 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_Orderings_Oord__class_Oless__eq(A,B,C)|c_Orderings_Oord__class_Oless__eq(A,C,B).
% 0.19/0.52 Following clause subsumed by 652 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.
% 0.19/0.52 Following clause subsumed by 653 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -c_Orderings_Oord__class_Oless(A,B,C)|B!=C.
% 0.19/0.52 Following clause subsumed by 652 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).
% 0.19/0.52 Following clause subsumed by 652 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.
% 0.19/0.52 Following clause subsumed by 653 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.
% 0.19/0.52 Following clause subsumed by 652 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).
% 0.19/0.52 Following clause subsumed by 657 during input processing: 0 [] {-} -class_Orderings_Opreorder(A)| -c_Orderings_Oord__class_Oless(A,B,C)| -c_Orderings_Oord__class_Oless(A,C,B).
% 0.19/0.52 Following clause subsumed by 656 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -c_Orderings_Oord__class_Oless(A,B,C)|B!=C.
% 0.19/0.52 Following clause subsumed by 657 during input processing: 0 [] {-} -class_Orderings_Opreorder(A)| -c_Orderings_Oord__class_Oless(A,B,C)| -c_Orderings_Oord__class_Oless(A,C,B).
% 0.19/0.52 Following clause subsumed by 657 during input processing: 0 [] {-} -class_Orderings_Opreorder(A)| -c_Orderings_Oord__class_Oless(A,B,C)| -c_Orderings_Oord__class_Oless(A,C,B).
% 0.19/0.52 Following clause subsumed by 652 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).
% 0.19/0.52 Following clause subsumed by 667 during input processing: 0 [] {-} c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_NthRoot_Osqrt(A),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))=A| -c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),A).
% 0.19/0.52 Following clause subsumed by 672 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_Orderings_Oord__class_Oless__eq(A,B,C)|c_Orderings_Oord__class_Oless(A,C,B).
% 0.19/0.52 Following clause subsumed by 673 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -c_Orderings_Oord__class_Oless__eq(A,B,C)| -c_Orderings_Oord__class_Oless(A,C,B).
% 0.19/0.52 Following clause subsumed by 672 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_Orderings_Oord__class_Oless__eq(A,B,C)|c_Orderings_Oord__class_Oless(A,C,B).
% 0.19/0.52 Following clause subsumed by 656 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -c_Orderings_Oord__class_Oless(A,B,C)|B!=C.
% 0.19/0.52 Following clause subsumed by 675 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -c_Orderings_Oord__class_Oless__eq(A,B,C)|c_Orderings_Oord__class_Oless(A,B,C)|B=C.
% 0.19/0.52 Following clause subsumed by 674 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|c_Orderings_Oord__class_Oless__eq(A,B,C)| -c_Orderings_Oord__class_Oless(A,B,C).
% 0.19/0.52 Following clause subsumed by 641 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|c_Orderings_Oord__class_Oless__eq(A,B,C)|B!=C.
% 0.19/0.52 Following clause subsumed by 672 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_Orderings_Oord__class_Oless(A,B,C)|c_Orderings_Oord__class_Oless__eq(A,C,B).
% 0.19/0.52 Following clause subsumed by 672 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_Orderings_Oord__class_Oless__eq(A,B,C)|c_Orderings_Oord__class_Oless(A,C,B).
% 0.19/0.52 Following clause subsumed by 675 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C| -c_Orderings_Oord__class_Oless__eq(A,B,C)|c_Orderings_Oord__class_Oless(A,B,C).
% 0.19/0.52 Following clause subsumed by 673 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -c_Orderings_Oord__class_Oless__eq(A,B,C)| -c_Orderings_Oord__class_Oless(A,C,B).
% 0.19/0.52 Following clause subsumed by 676 during input processing: 0 [] {-} -class_Orderings_Opreorder(A)| -c_Orderings_Oord__class_Oless(A,B,C)|c_Orderings_Oord__class_Oless__eq(A,B,C).
% 0.19/0.52 Following clause subsumed by 679 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -c_Orderings_Oord__class_Oless__eq(A,B,C)|c_Orderings_Oord__class_Oless(A,B,C)|B=C.
% 0.19/0.52 Following clause subsumed by 653 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -c_Orderings_Oord__class_Oless__eq(A,B,C)| -c_Orderings_Oord__class_Oless(A,B,C)|B!=C.
% 0.19/0.52 Following clause subsumed by 675 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -c_Orderings_Oord__class_Oless__eq(A,B,C)|c_Orderings_Oord__class_Oless(A,B,C)|B=C.
% 0.19/0.52 Following clause subsumed by 675 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -c_Orderings_Oord__class_Oless__eq(A,B,C)|B=C|c_Orderings_Oord__class_Oless(A,B,C).
% 0.19/0.52 Following clause subsumed by 681 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -c_Orderings_Oord__class_Oless__eq(A,B,C)|C=B|c_Orderings_Oord__class_Oless(A,B,C).
% 0.19/0.52 Following clause subsumed by 729 during input processing: 0 [] {-} -class_Rings_Ozero__neq__one(A)|c_Groups_Ozero__class_Ozero(A)!=c_Groups_Oone__class_Oone(A).
% 0.19/0.52 Following clause subsumed by 759 during input processing: 0 [] {-} -class_Rings_Odivision__ring(A)|B=c_Groups_Ozero__class_Ozero(A)|c_Rings_Oinverse__class_Odivide(A,C,B)=D|C!=c_Groups_Otimes__class_Otimes(A,D,B).
% 0.19/0.52 Following clause subsumed by 758 during input processing: 0 [] {-} -class_Rings_Odivision__ring(A)|B=c_Groups_Ozero__class_Ozero(A)|C=c_Rings_Oinverse__class_Odivide(A,D,B)|c_Groups_Otimes__class_Otimes(A,C,B)!=D.
% 0.35/0.53 Following clause subsumed by 794 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(A))| -c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),A).
% 0.35/0.53 Following clause subsumed by 764 during input processing: 0 [] {-} -class_Rings_Olinordered__idom(A)| -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,B))|c_Power_Opower__class_Opower(A,c_Groups_Oabs__class_Oabs(A,C),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,B))=c_Power_Opower__class_Opower(A,C,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,B)).
% 0.35/0.53 Following clause subsumed by 831 during input processing: 0 [] {-} -class_Fields_Ofield(A)| -class_Int_Onumber__ring(A)|c_Rings_Oinverse__class_Odivide(A,B,c_Int_Onumber__class_Onumber__of(A,c_Int_OBit1(c_Int_OPls)))=B.
% 0.35/0.53 Following clause subsumed by 842 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,c_Power_Opower__class_Opower(A,B,C),c_Power_Opower__class_Opower(A,B,D))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,C,D).
% 0.35/0.53 Following clause subsumed by 841 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,c_Power_Opower__class_Opower(A,B,C),c_Power_Opower__class_Opower(A,B,D))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,C,D).
% 0.35/0.53 Following clause subsumed by 853 during input processing: 0 [] {-} 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)| -c_Orderings_Oord__class_Oless(tc_Int_Oint,A,B).
% 0.35/0.53 Following clause subsumed by 857 during input processing: 0 [] {-} c_Groups_Otimes__class_Otimes(tc_Int_Oint,A,B)!=c_Groups_Oone__class_Oone(tc_Int_Oint)|A=c_Groups_Oone__class_Oone(tc_Int_Oint)|A=c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Int_OMin).
% 0.35/0.53 Following clause subsumed by 910 during input processing: 0 [] {-} -class_Rings_Olinordered__semidom(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Oone__class_Oone(A),B)| -c_Orderings_Oord__class_Oless__eq(A,c_Power_Opower__class_Opower(A,B,C),c_Power_Opower__class_Opower(A,B,D))|c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,C,D).
% 0.35/0.53 Following clause subsumed by 837 during input processing: 0 [] {-} -class_Power_Opower(A)| -class_Rings_Osemiring__0(A)|c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,B)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|c_Power_Opower__class_Opower(A,c_Groups_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,B))=c_Groups_Oone__class_Oone(A).
% 0.35/0.53 Following clause subsumed by 838 during input processing: 0 [] {-} -class_Power_Opower(A)| -class_Rings_Osemiring__0(A)|c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,B)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|c_Power_Opower__class_Opower(A,c_Groups_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,B))=c_Groups_Ozero__class_Ozero(A).
% 0.35/0.53 Following clause subsumed by 913 during input processing: 0 [] {-} -class_Int_Onumber__ring(A)| -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,B)|c_Power_Opower__class_Opower(A,c_Int_Onumber__class_Onumber__of(A,c_Int_OMin),B)=c_Groups_Oone__class_Oone(A).
% 0.35/0.53 Following clause subsumed by 441 during input processing: 0 [] {-} -class_Int_Onumber__ring(A)|c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,B)|c_Power_Opower__class_Opower(A,c_Int_Onumber__class_Onumber__of(A,c_Int_OMin),B)=c_Int_Onumber__class_Onumber__of(A,c_Int_OMin).
% 0.35/0.53 Following clause subsumed by 976 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber__ring(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),B)|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),c_Rings_Oinverse__class_Odivide(A,B,c_Int_Onumber__class_Onumber__of(A,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))).
% 0.35/0.53 Following clause subsumed by 502 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,B)|B!=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,C).
% 0.35/0.54 Following clause subsumed by 1106 during input processing: 0 [] {-} -class_Fields_Olinordered__field(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),B)| -c_Orderings_Oord__class_Oless(A,C,c_Groups_Otimes__class_Otimes(A,D,B))|c_Orderings_Oord__class_Oless(A,c_Rings_Oinverse__class_Odivide(A,C,B),D).
% 0.35/0.54 Following clause subsumed by 1104 during input processing: 0 [] {-} -class_Fields_Olinordered__field(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),B)| -c_Orderings_Oord__class_Oless(A,c_Groups_Otimes__class_Otimes(A,C,B),D)|c_Orderings_Oord__class_Oless(A,C,c_Rings_Oinverse__class_Odivide(A,D,B)).
% 0.35/0.54 Following clause subsumed by 1134 during input processing: 0 [] {-} -class_Fields_Olinordered__field(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),B)|c_Orderings_Oord__class_Oless__eq(A,c_Rings_Oinverse__class_Odivide(A,C,B),D)| -c_Orderings_Oord__class_Oless__eq(A,C,c_Groups_Otimes__class_Otimes(A,D,B)).
% 0.35/0.54 Following clause subsumed by 1133 during input processing: 0 [] {-} -class_Fields_Olinordered__field(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),B)|c_Orderings_Oord__class_Oless__eq(A,C,c_Rings_Oinverse__class_Odivide(A,D,B))| -c_Orderings_Oord__class_Oless__eq(A,c_Groups_Otimes__class_Otimes(A,C,B),D).
% 0.35/0.54 Following clause subsumed by 1 during input processing: 0 [] {-} -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,v_na____)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex,v_b,c_Power_Opower__class_Opower(tc_Complex_Ocomplex,$c1,v_na____)))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)).
% 0.35/0.54 Following clause subsumed by 1153 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Int_Oint,A,c_Groups_Ozero__class_Ozero(tc_Int_Oint))|c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Divides_Odiv__class_Omod(tc_Int_Oint,B,A),c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 0.35/0.54 Following clause subsumed by 1156 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__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Int_Oint,B,A)).
% 0.35/0.54 Following clause subsumed by 1162 during input processing: 0 [] {-} -class_Divides_Osemiring__div(A)|c_Divides_Odiv__class_Omod(A,c_Groups_Otimes__class_Otimes(A,c_Divides_Odiv__class_Omod(A,B,C),D),C)=c_Divides_Odiv__class_Omod(A,c_Groups_Otimes__class_Otimes(A,B,D),C).
% 0.35/0.54 Following clause subsumed by 1172 during input processing: 0 [] {-} -class_RealVector_Oreal__algebra__1(A)| -class_RealVector_Oreal__normed__vector(A)|c_RealVector_Oof__real(A,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))=c_Groups_Ozero__class_Ozero(A).
% 0.35/0.54 Following clause subsumed by 1154 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Int_Oint,A,c_Groups_Ozero__class_Ozero(tc_Int_Oint))|c_Orderings_Oord__class_Oless(tc_Int_Oint,A,c_Divides_Odiv__class_Omod(tc_Int_Oint,B,A)).
% 0.35/0.54 Following clause subsumed by 1157 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_Omod(tc_Int_Oint,B,A),A).
% 0.35/0.54 Following clause subsumed by 1192 during input processing: 0 [] {-} -class_RealVector_Oreal__algebra__1(A)| -class_RealVector_Oreal__normed__vector(A)|c_RealVector_Oof__real(A,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,B,C))=c_Groups_Oplus__class_Oplus(A,c_RealVector_Oof__real(A,B),c_RealVector_Oof__real(A,C)).
% 0.35/0.54 Following clause subsumed by 1196 during input processing: 0 [] {-} -class_Divides_Osemiring__div(A)|c_Divides_Odiv__class_Omod(A,c_Groups_Oplus__class_Oplus(A,B,c_Divides_Odiv__class_Omod(A,C,D)),D)=c_Divides_Odiv__class_Omod(A,c_Groups_Oplus__class_Oplus(A,B,C),D).
% 0.37/0.58 Following clause subsumed by 1198 during input processing: 0 [] {-} -class_Divides_Osemiring__div(A)|c_Divides_Odiv__class_Omod(A,c_Groups_Oplus__class_Oplus(A,c_Divides_Odiv__class_Omod(A,B,C),D),C)=c_Divides_Odiv__class_Omod(A,c_Groups_Oplus__class_Oplus(A,B,D),C).
% 0.37/0.58 Following clause subsumed by 17 during input processing: 0 [copy,16,flip.1] {-} c_Int_OBit1(A)!=c_Int_OBit0(B).
% 0.37/0.58 Following clause subsumed by 16 during input processing: 0 [copy,17,flip.1] {-} c_Int_OBit0(A)!=c_Int_OBit1(B).
% 0.37/0.58 25 back subsumes 9.
% 0.37/0.58 94 back subsumes 92.
% 0.37/0.58 95 back subsumes 91.
% 0.37/0.58 99 back subsumes 74.
% 0.37/0.58 109 back subsumes 69.
% 0.37/0.58 110 back subsumes 70.
% 0.37/0.58 111 back subsumes 71.
% 0.37/0.58 220 back subsumes 217.
% 0.37/0.58 266 back subsumes 167.
% 0.37/0.58 419 back subsumes 412.
% 0.37/0.58 448 back subsumes 446.
% 0.37/0.58 493 back subsumes 491.
% 0.37/0.58 494 back subsumes 492.
% 0.37/0.58 508 back subsumes 278.
% 0.37/0.58 508 back subsumes 257.
% 0.37/0.58 517 back subsumes 157.
% 0.37/0.58 518 back subsumes 158.
% 0.37/0.58 672 back subsumes 137.
% 0.37/0.58 673 back subsumes 136.
% 0.37/0.58 861 back subsumes 852.
% 0.37/0.58 994 back subsumes 948.
% 0.37/0.58 994 back subsumes 938.
% 0.37/0.58 995 back subsumes 949.
% 0.37/0.58 995 back subsumes 939.
% 0.37/0.58 996 back subsumes 950.
% 0.37/0.58 996 back subsumes 940.
% 0.37/0.58 997 back subsumes 951.
% 0.37/0.58 997 back subsumes 941.
% 0.37/0.58 998 back subsumes 952.
% 0.37/0.58 998 back subsumes 942.
% 0.37/0.58 999 back subsumes 953.
% 0.37/0.58 999 back subsumes 943.
% 0.37/0.58 1000 back subsumes 954.
% 0.37/0.58 1000 back subsumes 944.
% 0.37/0.58 1001 back subsumes 955.
% 0.37/0.58 1001 back subsumes 945.
% 0.37/0.58 1002 back subsumes 956.
% 0.37/0.58 1002 back subsumes 946.
% 0.37/0.58 1003 back subsumes 957.
% 0.37/0.58 1003 back subsumes 947.
% 0.37/0.58 1065 back subsumes 824.
% 0.37/0.58 1065 back subsumes 819.
% 0.37/0.58 1066 back subsumes 825.
% 0.37/0.58 1066 back subsumes 820.
% 0.37/0.58 1067 back subsumes 826.
% 0.37/0.58 1067 back subsumes 821.
% 0.37/0.58 1068 back subsumes 827.
% 0.37/0.58 1068 back subsumes 822.
% 0.37/0.58 1069 back subsumes 828.
% 0.37/0.58 1069 back subsumes 823.
% 0.37/0.58 1070 back subsumes 814.
% 0.37/0.58 1070 back subsumes 809.
% 0.37/0.58 1071 back subsumes 815.
% 0.37/0.58 1071 back subsumes 810.
% 0.37/0.58 1072 back subsumes 816.
% 0.37/0.58 1072 back subsumes 811.
% 0.37/0.58 1073 back subsumes 817.
% 0.37/0.58 1073 back subsumes 812.
% 0.37/0.58 1074 back subsumes 818.
% 0.37/0.58 1074 back subsumes 813.
% 0.37/0.58 1083 back subsumes 873.
% 0.37/0.58 1083 back subsumes 863.
% 0.37/0.58 1084 back subsumes 874.
% 0.37/0.58 1084 back subsumes 864.
% 0.37/0.58 1085 back subsumes 875.
% 0.37/0.58 1085 back subsumes 865.
% 0.37/0.58 1086 back subsumes 876.
% 0.37/0.58 1086 back subsumes 866.
% 0.37/0.58 1087 back subsumes 877.
% 0.37/0.58 1087 back subsumes 867.
% 0.37/0.58 1088 back subsumes 878.
% 0.37/0.58 1088 back subsumes 868.
% 0.37/0.58 1089 back subsumes 879.
% 0.37/0.58 1089 back subsumes 869.
% 0.37/0.58 1090 back subsumes 880.
% 0.37/0.58 1090 back subsumes 870.
% 0.37/0.58 1091 back subsumes 881.
% 0.37/0.58 1091 back subsumes 871.
% 0.37/0.58 1092 back subsumes 882.
% 0.37/0.58 1092 back subsumes 872.
% 0.37/0.58 1093 back subsumes 893.
% 0.37/0.58 1093 back subsumes 883.
% 0.37/0.58 1094 back subsumes 894.
% 0.37/0.58 1094 back subsumes 884.
% 0.37/0.58 1095 back subsumes 895.
% 0.37/0.58 1095 back subsumes 885.
% 0.37/0.58 1096 back subsumes 896.
% 0.37/0.58 1096 back subsumes 886.
% 0.37/0.58 1097 back subsumes 897.
% 0.37/0.58 1097 back subsumes 887.
% 0.37/0.58 1098 back subsumes 898.
% 0.37/0.58 1098 back subsumes 888.
% 0.37/0.58 1099 back subsumes 899.
% 0.37/0.58 1099 back subsumes 889.
% 0.37/0.58 1100 back subsumes 900.
% 0.37/0.58 1100 back subsumes 890.
% 0.37/0.58 1101 back subsumes 901.
% 0.37/0.58 1101 back subsumes 891.
% 0.37/0.58 1102 back subsumes 902.
% 0.37/0.58 1102 back subsumes 892.
% 0.37/0.58 1137 back subsumes 928.
% 0.37/0.58 1137 back subsumes 918.
% 0.37/0.58 1138 back subsumes 929.
% 0.37/0.58 1138 back subsumes 919.
% 0.37/0.58 1139 back subsumes 930.
% 0.37/0.58 1139 back subsumes 920.
% 0.37/0.58 1140 back subsumes 931.
% 0.37/0.58 1140 back subsumes 921.
% 0.37/0.58 1141 back subsumes 932.
% 0.37/0.58 1141 back subsumes 922.
% 0.37/0.58 1142 back subsumes 933.
% 0.37/0.58 1142 back subsumes 923.
% 0.37/0.58 1143 back subsumes 934.
% 0.37/0.58 1143 back subsumes 924.
% 0.37/0.58 1144 back subsumes 935.
% 0.37/0.58 1144 back subsumes 925.
% 0.37/0.58 1145 back subsumes 936.
% 0.37/0.58 1145 back subsumes 926.
% 0.37/0.58 1146 back subsumes 937.
% 0.37/0.58 1146 back subsumes 927.
% 0.37/0.58 1326 back subsumes 1321.
% 0.37/0.58 Following clause subsumed by 790 during input processing: 0 [copy,1409,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).
% 0.37/0.58
% 0.37/0.58 ------------> process sos:
% 0.37/0.58 Following clause subsumed by 1587 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OMin,c_Int_OPls).
% 0.37/0.58 Following clause subsumed by 1613 during input processing: 0 [demod,1608] {-} A=A.
% 0.37/0.58 Following clause subsumed by 1622 during input processing: 0 [] {-} c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Nat_OSuc(A),B)=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,c_Nat_OSuc(B)).
% 0.37/0.61 Following clause subsumed by 1624 during input processing: 0 [demod,1535,1535] {-} A=c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OPls)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OPls),A).
% 0.37/0.61 Following clause subsumed by 1582 during input processing: 0 [demod,1535] {-} c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OPls),A).
% 0.37/0.61 Following clause subsumed by 1613 during input processing: 0 [demod,1577,1577,1577] {-} c_Groups_Oplus__class_Oplus(tc_Int_Oint,A,B)=c_Groups_Oplus__class_Oplus(tc_Int_Oint,A,B).
% 0.37/0.61 Following clause subsumed by 1642 during input processing: 0 [] {-} c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,B))|c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,A)|c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,B).
% 0.37/0.61 Following clause subsumed by 1642 during input processing: 0 [] {-} c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,B))|c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,A)|c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,B).
% 0.37/0.61 Following clause subsumed by 1688 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).
% 0.37/0.61 Following clause subsumed by 1688 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)).
% 0.37/0.61 Following clause subsumed by 1685 during input processing: 0 [demod,1569,1569] {-} c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,c_Int_OPls).
% 0.37/0.61 Following clause subsumed by 1685 during input processing: 0 [demod,1569,1577] {-} c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,c_Int_OPls).
% 0.37/0.61 Following clause subsumed by 1689 during input processing: 0 [demod,1764] {-} c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),A)=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 0.37/0.61 Following clause subsumed by 1613 during input processing: 0 [demod,1771,1608,1608,1774] {-} c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint))=c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)).
% 0.37/0.61 Following clause subsumed by 1613 during input processing: 0 [demod,1771,1608,1608,1577] {-} c_Groups_Oone__class_Oone(tc_Int_Oint)=c_Groups_Oone__class_Oone(tc_Int_Oint).
% 0.37/0.61 Following clause subsumed by 1613 during input processing: 0 [demod,1812] {-} c_Divides_Odiv__class_Omod(tc_Int_Oint,c_Groups_Otimes__class_Otimes(tc_Int_Oint,A,B),C)=c_Divides_Odiv__class_Omod(tc_Int_Oint,c_Groups_Otimes__class_Otimes(tc_Int_Oint,A,B),C).
% 0.37/0.61 Following clause subsumed by 1693 during input processing: 0 [demod,1569,1569,1569] {-} hBOOL(hAPP(A,c_Divides_Odiv__class_Omod(tc_Int_Oint,B,C)))|C=c_Int_OPls|c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,C)|c_Orderings_Oord__class_Oless(tc_Int_Oint,C,c_Int_OPls).
% 0.37/0.61 Following clause subsumed by 1613 during input processing: 0 [] {-} A=A.
% 0.37/0.61 Following clause subsumed by 1613 during input processing: 0 [copy,1537,flip.1] {-} c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OPls)=c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OPls).
% 0.37/0.61 Following clause subsumed by 1546 during input processing: 0 [copy,1546,flip.1] {-} c_Groups_Otimes__class_Otimes(tc_Nat_Onat,A,B)=c_Groups_Otimes__class_Otimes(tc_Nat_Onat,B,A).
% 0.37/0.61 Following clause subsumed by 1613 during input processing: 0 [copy,1551,flip.1,demod,1771,1608,1608,1615,1777,1771,1608,1608,1615,1777] {-} c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)))=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint))).
% 0.37/0.61 Following clause subsumed by 1559 during input processing: 0 [copy,1559,flip.1] {-} c_Groups_Otimes__class_Otimes(tc_Int_Oint,A,B)=c_Groups_Otimes__class_Otimes(tc_Int_Oint,B,A).
% 0.45/0.63 Following clause subsumed by 1613 during input processing: 0 [copy,1613,flip.1] {-} A=A.
% 0.45/0.63 1613 back subsumes 1551.
% 0.45/0.63 1613 back subsumes 1537.
% 0.45/0.63 1613 back subsumes 1399.
% 0.45/0.63 1613 back subsumes 1395.
% 0.45/0.63 1613 back subsumes 1394.
% 0.45/0.63 1613 back subsumes 1391.
% 0.45/0.63 1613 back subsumes 1363.
% 0.45/0.63 1613 back subsumes 1362.
% 0.45/0.63 1613 back subsumes 1360.
% 0.45/0.63 1613 back subsumes 1355.
% 0.45/0.63 1613 back subsumes 1279.
% 0.45/0.63 Following clause subsumed by 1695 during input processing: 0 [copy,1622,flip.1,demod,1764,1774,1764,1774,1697] {-} c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)),B))=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,B)).
% 0.45/0.63 1685 back subsumes 1627.
% 0.45/0.63 1685 back subsumes 1591.
% 0.45/0.63 Following clause subsumed by 1689 during input processing: 0 [copy,1689,flip.1] {-} c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,B)=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,B,A).
% 0.45/0.63 1689 back subsumes 1665.
% 0.45/0.63 Following clause subsumed by 1690 during input processing: 0 [copy,1690,flip.1] {-} c_Groups_Oplus__class_Oplus(tc_Int_Oint,A,B)=c_Groups_Oplus__class_Oplus(tc_Int_Oint,B,A).
% 0.45/0.63 Following clause subsumed by 1694 during input processing: 0 [copy,1694,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)).
% 0.45/0.63 Following clause subsumed by 1695 during input processing: 0 [copy,1695,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)).
% 0.45/0.63 Following clause subsumed by 1700 during input processing: 0 [copy,1700,flip.1] {-} c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,A,B)=c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,B,A).
% 0.45/0.63 1705 back subsumes 1404.
% 0.45/0.63 2234 back subsumes 2180.
% 0.45/0.63 Following clause subsumed by 2277 during input processing: 0 [copy,2269,flip.1] {-} c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(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,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,A,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)))))=c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),A),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)))).
% 0.45/0.64 Following clause subsumed by 2269 during input processing: 0 [copy,2277,flip.1] {-} c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),A),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint))))=c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(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,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,A,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint))))).
% 0.45/0.64 Following clause subsumed by 2376 during input processing: 0 [copy,2375,flip.1] {-} c_Groups_Oplus__class_Oplus(tc_Int_Oint,A,A)!=c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,B,B)).
% 0.45/0.64 Following clause subsumed by 2375 during input processing: 0 [copy,2376,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_Oplus__class_Oplus(tc_Int_Oint,B,B).
% 0.45/0.64 Following clause subsumed by 2397 during input processing: 0 [copy,2381,flip.1] {-} c_Groups_Oplus__class_Oplus(tc_Int_Oint,A,c_Groups_Oplus__class_Oplus(tc_Int_Oint,A,c_Groups_Oplus__class_Oplus(tc_Int_Oint,B,B)))=c_Groups_Oplus__class_Oplus(tc_Int_Oint,A,c_Groups_Oplus__class_Oplus(tc_Int_Oint,B,c_Groups_Oplus__class_Oplus(tc_Int_Oint,A,B))).
% 0.45/0.64 Following clause subsumed by 2395 during input processing: 0 [copy,2387,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,c_Groups_Oplus__class_Oplus(tc_Int_Oint,A,c_Groups_Oplus__class_Oplus(tc_Int_Oint,B,B))))=c_Groups_Oplus__class_Oplus(tc_Int_Oint,A,c_Groups_Oplus__class_Oplus(tc_Int_Oint,A,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,B,B)))).
% 0.45/0.64 Following clause subsumed by 2402 during input processing: 0 [copy,2391,flip.1] {-} c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)),A))=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)))).
% 0.45/0.64 Following clause subsumed by 2387 during input processing: 0 [copy,2395,flip.1] {-} c_Groups_Oplus__class_Oplus(tc_Int_Oint,A,c_Groups_Oplus__class_Oplus(tc_Int_Oint,A,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,B,B))))=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,c_Groups_Oplus__class_Oplus(tc_Int_Oint,A,c_Groups_Oplus__class_Oplus(tc_Int_Oint,B,B)))).
% 0.45/0.64 Following clause subsumed by 2381 during input processing: 0 [copy,2397,flip.1] {-} c_Groups_Oplus__class_Oplus(tc_Int_Oint,A,c_Groups_Oplus__class_Oplus(tc_Int_Oint,B,c_Groups_Oplus__class_Oplus(tc_Int_Oint,A,B)))=c_Groups_Oplus__class_Oplus(tc_Int_Oint,A,c_Groups_Oplus__class_Oplus(tc_Int_Oint,A,c_Groups_Oplus__class_Oplus(tc_Int_Oint,B,B))).
% 0.45/0.64 Following clause subsumed by 2391 during input processing: 0 [copy,2402,flip.1] {-} c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint))))=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)),A)).
% 0.45/0.64 2415 back subsumes 2314.
% 0.45/0.64 2416 back subsumes 2313.
% 0.45/0.64 Following clause subsumed by 2392 during input processing: 0 [copy,2533,flip.1] {-} c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,A,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,B,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint))))),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,A,B)))=c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,A,B),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)))).
% 0.45/0.64 Following clause subsumed by 2396 during input processing: 0 [copy,2534,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,c_Groups_Oplus__class_Oplus(tc_Int_Oint,B,c_Groups_Oplus__class_Oplus(tc_Int_Oint,A,B))))=c_Groups_Oplus__class_Oplus(tc_Int_Oint,A,c_Groups_Oplus__class_Oplus(tc_Int_Oint,A,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,B,B)))).
% 0.45/0.64 2545 back subsumes 2315.
% 0.45/0.64
% 0.45/0.64 ======= end of input processing =======
% 0.45/0.64
% 0.45/0.64 SEGMENTATION FAULT!! This is probably caused by a
% 0.45/0.64 bug in Otter. Please send copy of the input file to
% 0.45/0.64 otter@mcs.anl.gov, let us know what version of Otter you are
% 0.45/0.64 using, and send any other info that might be useful.
% 0.45/0.64
% 0.45/0.64
% 0.45/0.64 SEGMENTATION FAULT!! This is probably caused by a
% 0.45/0.64 bug in Otter. Please send copy of the input file to
% 0.45/0.64 otter@mcs.anl.gov, let us know what version of Otter you are
% 0.45/0.64 using, and send any other info that might be useful.
% 0.45/0.64
% 0.45/0.64
% 0.45/0.64 The job finished Sun Jun 5 04:14:20 2022
%------------------------------------------------------------------------------