TSTP Solution File: SWW221+1 by SOS---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : SWW221+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n025.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 01:26:22 EDT 2022
% Result : Unknown 0.39s 0.61s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWW221+1 : TPTP v8.1.0. Released v5.2.0.
% 0.03/0.13 % Command : sos-script %s
% 0.13/0.35 % Computer : n025.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Sun Jun 5 16:42:32 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.53 ----- Otter 3.2, August 2001 -----
% 0.20/0.53 The process was started by sandbox2 on n025.cluster.edu,
% 0.20/0.53 Sun Jun 5 16:42:32 2022
% 0.20/0.53 The command was "./sos". The process ID is 13585.
% 0.20/0.53
% 0.20/0.53 set(prolog_style_variables).
% 0.20/0.53 set(auto).
% 0.20/0.53 dependent: set(auto1).
% 0.20/0.53 dependent: set(process_input).
% 0.20/0.53 dependent: clear(print_kept).
% 0.20/0.53 dependent: clear(print_new_demod).
% 0.20/0.53 dependent: clear(print_back_demod).
% 0.20/0.53 dependent: clear(print_back_sub).
% 0.20/0.53 dependent: set(control_memory).
% 0.20/0.53 dependent: assign(max_mem, 12000).
% 0.20/0.53 dependent: assign(pick_given_ratio, 4).
% 0.20/0.53 dependent: assign(stats_level, 1).
% 0.20/0.53 dependent: assign(pick_semantic_ratio, 3).
% 0.20/0.53 dependent: assign(sos_limit, 5000).
% 0.20/0.53 dependent: assign(max_weight, 60).
% 0.20/0.53 clear(print_given).
% 0.20/0.53
% 0.20/0.53 formula_list(usable).
% 0.20/0.53
% 0.20/0.53 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=7.
% 0.20/0.53
% 0.20/0.53 This ia a non-Horn set with equality. The strategy will be
% 0.20/0.53 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.20/0.53 unit deletion, with positive clauses in sos and nonpositive
% 0.20/0.53 clauses in usable.
% 0.20/0.53
% 0.20/0.53 dependent: set(knuth_bendix).
% 0.20/0.53 dependent: set(para_from).
% 0.20/0.53 dependent: set(para_into).
% 0.20/0.53 dependent: clear(para_from_right).
% 0.20/0.53 dependent: clear(para_into_right).
% 0.20/0.53 dependent: set(para_from_vars).
% 0.20/0.53 dependent: set(eq_units_both_ways).
% 0.20/0.53 dependent: set(dynamic_demod_all).
% 0.20/0.53 dependent: set(dynamic_demod).
% 0.20/0.53 dependent: set(order_eq).
% 0.20/0.53 dependent: set(back_demod).
% 0.20/0.53 dependent: set(lrpo).
% 0.20/0.53 dependent: set(hyper_res).
% 0.20/0.53 dependent: set(unit_deletion).
% 0.20/0.53 dependent: set(factor).
% 0.20/0.53
% 0.20/0.53 ------------> process usable:
% 0.20/0.53 Following clause subsumed by 4 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))))).
% 0.20/0.53 Following clause subsumed by 9 during input processing: 0 [flip.2] {-} -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,A,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))|c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,A)=c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,A).
% 0.20/0.53 Following clause subsumed by 12 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.
% 0.20/0.53 Following clause subsumed by 23 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).
% 0.20/0.53 Following clause subsumed by 24 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).
% 0.20/0.53 Following clause subsumed by 26 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).
% 0.20/0.53 Following clause subsumed by 27 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).
% 0.20/0.53 Following clause subsumed by 30 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).
% 0.20/0.53 Following clause subsumed by 31 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).
% 0.20/0.53 Following clause subsumed by 48 during input processing: 0 [flip.2] {-} -class_Int_Onumber__ring(A)|c_Int_Onumber__class_Onumber__of(A,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,B))=c_Groups_Ouminus__class_Ouminus(A,c_Int_Onumber__class_Onumber__of(A,B)).
% 0.20/0.53 Following clause subsumed by 50 during input processing: 0 [flip.1] {-} c_Int_OBit1(A)!=c_Int_OPls.
% 0.20/0.53 Following clause subsumed by 86 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).
% 0.20/0.53 Following clause subsumed by 126 during input processing: 0 [] {-} -class_Groups_Ogroup__add(A)|B=c_Groups_Ouminus__class_Ouminus(A,C)|C!=c_Groups_Ouminus__class_Ouminus(A,B).
% 0.20/0.53 Following clause subsumed by 127 during input processing: 0 [] {-} -class_Groups_Ogroup__add(A)|c_Groups_Ouminus__class_Ouminus(A,B)=C|c_Groups_Ouminus__class_Ouminus(A,C)!=B.
% 0.20/0.53 Following clause subsumed by 148 during input processing: 0 [] {-} -class_Groups_Olinordered__ab__group__add(A)|c_Groups_Ouminus__class_Ouminus(A,B)!=B|B=c_Groups_Ozero__class_Ozero(A).
% 0.20/0.53 Following clause subsumed by 150 during input processing: 0 [] {-} -class_Groups_Olinordered__ab__group__add(A)|c_Groups_Ouminus__class_Ouminus(A,B)=B|B!=c_Groups_Ozero__class_Ozero(A).
% 0.20/0.53 Following clause subsumed by 153 during input processing: 0 [] {-} -class_Groups_Oordered__ab__group__add(A)|c_Orderings_Oord__class_Oless(A,B,c_Groups_Ouminus__class_Ouminus(A,C))| -c_Orderings_Oord__class_Oless(A,C,c_Groups_Ouminus__class_Ouminus(A,B)).
% 0.20/0.53 Following clause subsumed by 154 during input processing: 0 [] {-} -class_Groups_Oordered__ab__group__add(A)|c_Orderings_Oord__class_Oless(A,c_Groups_Ouminus__class_Ouminus(A,B),C)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ouminus__class_Ouminus(A,C),B).
% 0.20/0.53 Following clause subsumed by 175 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 0.20/0.53 Following clause subsumed by 175 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 0.20/0.53 Following clause subsumed by 204 during input processing: 0 [] {-} c_Groups_Ominus__class_Ominus(tc_Nat_Onat,A,B)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)| -c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,B).
% 0.20/0.53 Following clause subsumed by 201 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))|A!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.20/0.53 Following clause subsumed by 201 during input processing: 0 [] {-} A!=B|c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,B).
% 0.20/0.53 Following clause subsumed by 207 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).
% 0.20/0.53 Following clause subsumed by 211 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.
% 0.20/0.53 Following clause subsumed by 207 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,B)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B).
% 0.20/0.53 Following clause subsumed by 201 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,B)|A!=B.
% 0.20/0.53 Following clause subsumed by 207 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).
% 0.20/0.53 Following clause subsumed by 211 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)| -c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,B)|A=B.
% 0.20/0.53 Following clause subsumed by 216 during input processing: 0 [] {-} -class_Groups_Oordered__ab__group__add(A)|c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ouminus__class_Ouminus(A,B),c_Groups_Ouminus__class_Ouminus(A,C))| -c_Orderings_Oord__class_Oless__eq(A,C,B).
% 0.20/0.53 Following clause subsumed by 218 during input processing: 0 [] {-} -class_Groups_Oordered__ab__group__add(A)|c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ouminus__class_Ouminus(A,B),C)| -c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ouminus__class_Ouminus(A,C),B).
% 0.20/0.53 Following clause subsumed by 219 during input processing: 0 [] {-} -class_Groups_Oordered__ab__group__add(A)|c_Orderings_Oord__class_Oless__eq(A,B,c_Groups_Ouminus__class_Ouminus(A,C))| -c_Orderings_Oord__class_Oless__eq(A,C,c_Groups_Ouminus__class_Ouminus(A,B)).
% 0.20/0.53 Following clause subsumed by 220 during input processing: 0 [] {-} -class_Groups_Oordered__ab__group__add__abs(A)| -c_Orderings_Oord__class_Oless__eq(A,c_Groups_Oabs__class_Oabs(A,B),C)|c_Orderings_Oord__class_Oless__eq(A,B,C).
% 0.20/0.53 Following clause subsumed by 259 during input processing: 0 [] {-} -class_Groups_Oordered__ab__group__add__abs(A)| -c_Orderings_Oord__class_Oless__eq(A,c_Groups_Oabs__class_Oabs(A,B),C)|c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ouminus__class_Ouminus(A,B),C).
% 0.20/0.53 Following clause subsumed by 260 during input processing: 0 [] {-} -class_Groups_Oordered__ab__group__add__abs(A)|c_Orderings_Oord__class_Oless__eq(A,c_Groups_Oabs__class_Oabs(A,B),C)| -c_Orderings_Oord__class_Oless__eq(A,B,C)| -c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ouminus__class_Ouminus(A,B),C).
% 0.20/0.53 Following clause subsumed by 212 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|A!=B.
% 0.20/0.53 Following clause subsumed by 212 during input processing: 0 [] {-} A!=B| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B).
% 0.20/0.53 Following clause subsumed by 275 during input processing: 0 [] {-} A!=B| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,B,A).
% 0.20/0.53 Following clause subsumed by 276 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,A).
% 0.20/0.53 Following clause subsumed by 207 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).
% 0.20/0.53 Following clause subsumed by 299 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).
% 0.20/0.53 Following clause subsumed by 300 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).
% 0.20/0.53 Following clause subsumed by 301 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).
% 0.20/0.53 Following clause subsumed by 302 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).
% 0.20/0.53 Following clause subsumed by 305 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,A,B)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,A,B)|A=B.
% 0.20/0.53 Following clause subsumed by 303 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,A,B)| -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,A,B).
% 0.20/0.53 Following clause subsumed by 314 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).
% 0.20/0.53 Following clause subsumed by 315 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).
% 0.20/0.53 Following clause subsumed by 342 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).
% 0.20/0.53 Following clause subsumed by 343 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).
% 0.20/0.53 Following clause subsumed by 344 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).
% 0.20/0.53 Following clause subsumed by 345 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).
% 0.20/0.53 Following clause subsumed by 349 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.
% 0.20/0.53 Following clause subsumed by 349 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.
% 0.20/0.53 Following clause subsumed by 347 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)).
% 0.20/0.53 Following clause subsumed by 349 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C| -c_Orderings_Oord__class_Oless__eq(A,B,C)| -c_Orderings_Oord__class_Oless__eq(A,C,B).
% 0.20/0.53 Following clause subsumed by 346 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).
% 0.20/0.53 Following clause subsumed by 347 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)).
% 0.20/0.53 Following clause subsumed by 364 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_Orderings_Oord__class_Oless(A,B,C)|c_Orderings_Oord__class_Oless(A,C,B)|B=C.
% 0.20/0.53 Following clause subsumed by 365 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -c_Orderings_Oord__class_Oless(A,B,C)|B!=C.
% 0.20/0.53 Following clause subsumed by 364 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_Orderings_Oord__class_Oless(A,B,C)|B=C|c_Orderings_Oord__class_Oless(A,C,B).
% 0.20/0.53 Following clause subsumed by 364 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_Orderings_Oord__class_Oless(A,B,C)|c_Orderings_Oord__class_Oless(A,C,B)|C=B.
% 0.20/0.53 Following clause subsumed by 365 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_Orderings_Oord__class_Oless(A,B,C)| -c_Orderings_Oord__class_Oless(A,C,B)|C!=B.
% 0.20/0.53 Following clause subsumed by 364 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|B=C|c_Orderings_Oord__class_Oless(A,B,C)|c_Orderings_Oord__class_Oless(A,C,B).
% 0.20/0.53 Following clause subsumed by 369 during input processing: 0 [] {-} -class_Orderings_Opreorder(A)| -c_Orderings_Oord__class_Oless(A,B,C)| -c_Orderings_Oord__class_Oless(A,C,B).
% 0.20/0.53 Following clause subsumed by 368 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -c_Orderings_Oord__class_Oless(A,B,C)|B!=C.
% 0.20/0.53 Following clause subsumed by 369 during input processing: 0 [] {-} -class_Orderings_Opreorder(A)| -c_Orderings_Oord__class_Oless(A,B,C)| -c_Orderings_Oord__class_Oless(A,C,B).
% 0.20/0.53 Following clause subsumed by 369 during input processing: 0 [] {-} -class_Orderings_Opreorder(A)| -c_Orderings_Oord__class_Oless(A,B,C)| -c_Orderings_Oord__class_Oless(A,C,B).
% 0.20/0.53 Following clause subsumed by 364 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_Orderings_Oord__class_Oless(A,B,C)|B=C|c_Orderings_Oord__class_Oless(A,C,B).
% 0.20/0.53 Following clause subsumed by 385 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).
% 0.20/0.53 Following clause subsumed by 386 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).
% 0.20/0.53 Following clause subsumed by 385 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).
% 0.20/0.53 Following clause subsumed by 368 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -c_Orderings_Oord__class_Oless(A,B,C)|B!=C.
% 0.20/0.53 Following clause subsumed by 388 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.
% 0.20/0.53 Following clause subsumed by 387 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).
% 0.20/0.53 Following clause subsumed by 357 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|c_Orderings_Oord__class_Oless__eq(A,B,C)|B!=C.
% 0.20/0.53 Following clause subsumed by 385 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).
% 0.20/0.53 Following clause subsumed by 385 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).
% 0.20/0.53 Following clause subsumed by 388 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).
% 0.20/0.53 Following clause subsumed by 386 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).
% 0.20/0.53 Following clause subsumed by 389 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).
% 0.20/0.53 Following clause subsumed by 392 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.
% 0.20/0.53 Following clause subsumed by 365 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.
% 0.20/0.53 Following clause subsumed by 388 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.
% 0.20/0.53 Following clause subsumed by 388 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).
% 0.20/0.53 Following clause subsumed by 394 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).
% 0.20/0.53 Following clause subsumed by 296 during input processing: 0 [] {-} -class_Lattices_Oboolean__algebra(A)|c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ouminus__class_Ouminus(A,B),c_Groups_Ouminus__class_Ouminus(A,C))| -c_Orderings_Oord__class_Oless__eq(A,C,B).
% 0.20/0.53 Following clause subsumed by 434 during input processing: 0 [flip.2] {-} -class_Rings_Ozero__neq__one(A)|c_Groups_Ozero__class_Ozero(A)!=c_Groups_Oone__class_Oone(A).
% 0.20/0.53 Following clause subsumed by 429 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,A,B)|c_Nat__Transfer_Otsub(B,A)=c_Groups_Ominus__class_Ominus(tc_Int_Oint,B,A).
% 0.20/0.53 Following clause subsumed by 467 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_NthRoot_Osqrt(A),c_NthRoot_Osqrt(B))| -c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,A,B).
% 0.20/0.53 Following clause subsumed by 476 during input processing: 0 [] {-} c_Nat_OSuc(A)!=A.
% 0.20/0.53 Following clause subsumed by 477 during input processing: 0 [] {-} c_Nat_OSuc(A)!=c_Nat_OSuc(B)|A=B.
% 0.20/0.53 Following clause subsumed by 484 during input processing: 0 [flip.2] {-} -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)).
% 0.20/0.53 Following clause subsumed by 490 during input processing: 0 [] {-} -class_Groups_Ocancel__semigroup__add(A)|c_Groups_Oplus__class_Oplus(A,B,C)!=c_Groups_Oplus__class_Oplus(A,B,D)|C=D.
% 0.20/0.53 Following clause subsumed by 492 during input processing: 0 [] {-} -class_Groups_Ocancel__semigroup__add(A)|c_Groups_Oplus__class_Oplus(A,B,C)!=c_Groups_Oplus__class_Oplus(A,D,C)|B=D.
% 0.20/0.53 Following clause subsumed by 495 during input processing: 0 [] {-} -class_Groups_Oordered__ab__semigroup__add__imp__le(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Oplus__class_Oplus(A,B,C),c_Groups_Oplus__class_Oplus(A,B,D))|c_Orderings_Oord__class_Oless(A,C,D).
% 0.20/0.53 Following clause subsumed by 496 during input processing: 0 [] {-} -class_Groups_Oordered__ab__semigroup__add__imp__le(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Oplus__class_Oplus(A,B,C),c_Groups_Oplus__class_Oplus(A,D,C))|c_Orderings_Oord__class_Oless(A,B,D).
% 0.20/0.53 Following clause subsumed by 502 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).
% 0.20/0.53 Following clause subsumed by 503 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).
% 0.20/0.53 Following clause subsumed by 518 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,A,B)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_NthRoot_Osqrt(A),c_NthRoot_Osqrt(B)).
% 0.20/0.53 Following clause subsumed by 527 during input processing: 0 [flip.1] {-} c_Nat_OSuc(A)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.20/0.53 Following clause subsumed by 527 during input processing: 0 [] {-} c_Nat_OSuc(A)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.20/0.53 Following clause subsumed by 527 during input processing: 0 [] {-} c_Nat_OSuc(A)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.20/0.53 Following clause subsumed by 527 during input processing: 0 [flip.1] {-} c_Nat_OSuc(A)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.20/0.53 Following clause subsumed by 527 during input processing: 0 [] {-} c_Nat_OSuc(A)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.20/0.53 Following clause subsumed by 462 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(A),c_Nat_OSuc(B))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B).
% 0.20/0.53 Following clause subsumed by 532 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,c_Nat_OSuc(B))|A=B.
% 0.20/0.53 Following clause subsumed by 534 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,c_Nat_OSuc(B))|A!=B.
% 0.20/0.53 Following clause subsumed by 533 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)).
% 0.20/0.53 Following clause subsumed by 532 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,c_Nat_OSuc(B))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|A=B.
% 0.20/0.53 Following clause subsumed by 535 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(A),c_Nat_OSuc(B))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B).
% 0.20/0.53 Following clause subsumed by 542 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).
% 0.20/0.53 Following clause subsumed by 543 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).
% 0.20/0.53 Following clause subsumed by 201 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,c_Nat_OSuc(B))|A!=c_Nat_OSuc(B).
% 0.20/0.53 Following clause subsumed by 558 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),A)|c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,A,c_Groups_Oone__class_Oone(tc_Nat_Onat)))=A.
% 0.20/0.53 Following clause subsumed by 570 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),A)|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(A)).
% 0.20/0.53 Following clause subsumed by 473 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).
% 0.20/0.53 Following clause subsumed by 574 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)).
% 0.20/0.53 Following clause subsumed by 578 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).
% 0.20/0.54 Following clause subsumed by 558 during input processing: 0 [flip.2] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,A))|c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,A),c_Groups_Oone__class_Oone(tc_Nat_Onat)))=c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,A).
% 0.20/0.54 Following clause subsumed by 593 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)).
% 0.20/0.54 Following clause subsumed by 534 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))|A!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.20/0.54 Following clause subsumed by 534 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,B)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,B,c_Nat_OSuc(A))|B!=A.
% 0.20/0.54 Following clause subsumed by 641 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).
% 0.20/0.54 Following clause subsumed by 643 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).
% 0.20/0.54 Following clause subsumed by 644 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,c_Nat_OSuc(B))| -c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,B).
% 0.20/0.54 Following clause subsumed by 643 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).
% 0.20/0.54 Following clause subsumed by 641 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).
% 0.20/0.54 Following clause subsumed by 662 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),A)|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.
% 0.20/0.54 Following clause subsumed by 746 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,B,C)).
% 0.20/0.54 Following clause subsumed by 745 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,C,B)).
% 0.20/0.54 Following clause subsumed by 759 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).
% 0.20/0.54 Following clause subsumed by 760 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).
% 0.20/0.54 Following clause subsumed by 758 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,B)|c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,C,B)).
% 0.20/0.54 Following clause subsumed by 757 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,B)|c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,B,C)).
% 0.20/0.54 Following clause subsumed by 740 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).
% 0.20/0.54 Following clause subsumed by 746 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,B))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),A).
% 0.20/0.54 Following clause subsumed by 745 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,B))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),B).
% 0.20/0.54 Following clause subsumed by 794 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Int_Oint,A,B)|c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,A,c_Groups_Oone__class_Oone(tc_Int_Oint)),B).
% 0.20/0.54 Following clause subsumed by 798 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,B)|c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,B,A),C)=c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,B,C),A).
% 0.20/0.54 Following clause subsumed by 800 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,B)|c_Groups_Oplus__class_Oplus(tc_Nat_Onat,C,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,B,A))=c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,C,B),A).
% 0.20/0.54 Following clause subsumed by 815 during input processing: 0 [] {-} -hBOOL(hAPP(A,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,B,C)))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,B,C)|hBOOL(hAPP(A,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 0.20/0.54 Following clause subsumed by 816 during input processing: 0 [] {-} -hBOOL(hAPP(A,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,B,C)))|B!=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,C,D)|hBOOL(hAPP(A,D)).
% 0.20/0.54 Following clause subsumed by 863 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)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),A).
% 0.20/0.54 Following clause subsumed by 865 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).
% 0.20/0.54 Following clause subsumed by 864 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).
% 0.20/0.54 Following clause subsumed by 877 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).
% 0.20/0.54 Following clause subsumed by 878 during input processing: 0 [] {-} -class_Rings_Olinordered__semidom(A)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,B,C)| -c_Orderings_Oord__class_Oless(A,c_Groups_Oone__class_Oone(A),D)|c_Orderings_Oord__class_Oless(A,c_Power_Opower__class_Opower(A,D,B),c_Power_Opower__class_Opower(A,D,C)).
% 0.20/0.54 Following clause subsumed by 848 during input processing: 0 [] {-} -class_Power_Opower(A)| -class_Rings_Omult__zero(A)| -class_Rings_Ono__zero__divisors(A)| -class_Rings_Ozero__neq__one(A)|c_Power_Opower__class_Opower(A,B,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,C))!=c_Groups_Ozero__class_Ozero(A)|B=c_Groups_Ozero__class_Ozero(A).
% 0.20/0.54 Following clause subsumed by 849 during input processing: 0 [] {-} -class_Power_Opower(A)| -class_Rings_Omult__zero(A)| -class_Rings_Ono__zero__divisors(A)| -class_Rings_Ozero__neq__one(A)|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).
% 0.37/0.54 Following clause subsumed by 850 during input processing: 0 [] {-} -class_Power_Opower(A)| -class_Rings_Omult__zero(A)| -class_Rings_Ono__zero__divisors(A)| -class_Rings_Ozero__neq__one(A)|c_Power_Opower__class_Opower(A,B,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,C))=c_Groups_Ozero__class_Ozero(A)|B!=c_Groups_Ozero__class_Ozero(A)|c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,C)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.37/0.54 Following clause subsumed by 863 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).
% 0.37/0.54 Following clause subsumed by 865 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).
% 0.37/0.54 Following clause subsumed by 864 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).
% 0.37/0.54 Following clause subsumed by 885 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).
% 0.37/0.54 Following clause subsumed by 870 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).
% 0.37/0.54 Following clause subsumed by 871 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).
% 0.37/0.54 Following clause subsumed by 894 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)).
% 0.37/0.54 Following clause subsumed by 926 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)).
% 0.37/0.54 Following clause subsumed by 927 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)).
% 0.37/0.54 Following clause subsumed by 935 during input processing: 0 [flip.2] {-} -class_RealVector_Oreal__normed__algebra(A)|c_Groups_Ouminus__class_Ouminus(A,c_Groups_Otimes__class_Otimes(A,B,C))=c_Groups_Otimes__class_Otimes(A,c_Groups_Ouminus__class_Ouminus(A,B),C).
% 0.37/0.54 Following clause subsumed by 937 during input processing: 0 [flip.2] {-} -class_RealVector_Oreal__normed__algebra(A)|c_Groups_Ouminus__class_Ouminus(A,c_Groups_Otimes__class_Otimes(A,B,C))=c_Groups_Otimes__class_Otimes(A,B,c_Groups_Ouminus__class_Ouminus(A,C)).
% 0.37/0.54 Following clause subsumed by 961 during input processing: 0 [] {-} -class_Rings_Odivision__ring(A)|B=c_Groups_Ozero__class_Ozero(A)|C!=c_Groups_Otimes__class_Otimes(A,D,B)|c_Rings_Oinverse__class_Odivide(A,C,B)=D.
% 0.37/0.54 Following clause subsumed by 959 during input processing: 0 [] {-} -class_Rings_Odivision__ring(A)|B=c_Groups_Ozero__class_Ozero(A)|c_Groups_Otimes__class_Otimes(A,C,B)!=D|C=c_Rings_Oinverse__class_Odivide(A,D,B).
% 0.37/0.55 Following clause subsumed by 988 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|c_Groups_Otimes__class_Otimes(A,B,c_Groups_Ominus__class_Ominus(A,C,D))=c_Groups_Ominus__class_Ominus(A,c_Groups_Otimes__class_Otimes(A,B,C),c_Groups_Otimes__class_Otimes(A,B,D)).
% 0.37/0.55 Following clause subsumed by 989 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|c_Groups_Otimes__class_Otimes(A,c_Groups_Ominus__class_Ominus(A,B,C),D)=c_Groups_Ominus__class_Ominus(A,c_Groups_Otimes__class_Otimes(A,B,D),c_Groups_Otimes__class_Otimes(A,C,D)).
% 0.37/0.55 Following clause subsumed by 1002 during input processing: 0 [] {-} -class_Lattices_Oab__semigroup__idem__mult(A)|c_Groups_Otimes__class_Otimes(A,B,B)=B.
% 0.37/0.55 Following clause subsumed by 1007 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)).
% 0.37/0.55 Following clause subsumed by 1016 during input processing: 0 [] {-} -class_Rings_Ono__zero__divisors(A)|c_Groups_Otimes__class_Otimes(A,B,C)!=c_Groups_Ozero__class_Ozero(A)|B=c_Groups_Ozero__class_Ozero(A)|C=c_Groups_Ozero__class_Ozero(A).
% 0.37/0.55 Following clause subsumed by 1017 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).
% 0.37/0.55 Following clause subsumed by 1018 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).
% 0.37/0.55 Following clause subsumed by 1030 during input processing: 0 [] {-} -class_Rings_Olinordered__ring__strict(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),B)|c_Orderings_Oord__class_Oless(A,c_Groups_Otimes__class_Otimes(A,B,C),c_Groups_Otimes__class_Otimes(A,B,D))| -c_Orderings_Oord__class_Oless(A,C,D).
% 0.37/0.55 Following clause subsumed by 1031 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).
% 0.37/0.55 Following clause subsumed by 1035 during input processing: 0 [] {-} -class_Rings_Olinordered__semiring__strict(A)| -c_Orderings_Oord__class_Oless(A,B,c_Groups_Ozero__class_Ozero(A))| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),C)|c_Orderings_Oord__class_Oless(A,c_Groups_Otimes__class_Otimes(A,B,C),c_Groups_Ozero__class_Ozero(A)).
% 0.37/0.55 Following clause subsumed by 1025 during input processing: 0 [] {-} -class_Rings_Olinordered__ring__strict(A)| -c_Orderings_Oord__class_Oless(A,B,C)| -c_Orderings_Oord__class_Oless(A,D,c_Groups_Ozero__class_Ozero(A))|c_Orderings_Oord__class_Oless(A,c_Groups_Otimes__class_Otimes(A,C,D),c_Groups_Otimes__class_Otimes(A,B,D)).
% 0.37/0.55 Following clause subsumed by 1031 during input processing: 0 [] {-} -class_Rings_Olinordered__ring__strict(A)| -c_Orderings_Oord__class_Oless(A,B,C)| -c_Orderings_Oord__class_Oless(A,D,c_Groups_Ozero__class_Ozero(A))|c_Orderings_Oord__class_Oless(A,c_Groups_Otimes__class_Otimes(A,D,C),c_Groups_Otimes__class_Otimes(A,D,B)).
% 0.37/0.55 Following clause subsumed by 1046 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)).
% 0.37/0.55 Following clause subsumed by 1044 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)).
% 0.39/0.56 Following clause subsumed by 1044 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)).
% 0.39/0.56 Following clause subsumed by 1043 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)).
% 0.39/0.56 Following clause subsumed by 1075 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)).
% 0.39/0.56 Following clause subsumed by 1085 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)).
% 0.39/0.56 Following clause subsumed by 52 during input processing: 0 [copy,51,flip.1] {-} c_Int_OBit0(A)!=c_Int_OBit1(B).
% 0.39/0.56 Following clause subsumed by 51 during input processing: 0 [copy,52,flip.1] {-} c_Int_OBit1(A)!=c_Int_OBit0(B).
% 0.39/0.56 197 back subsumes 192.
% 0.39/0.56 210 back subsumes 209.
% 0.39/0.56 275 back subsumes 182.
% 0.39/0.56 279 back subsumes 277.
% 0.39/0.56 280 back subsumes 278.
% 0.39/0.56 357 back subsumes 355.
% 0.39/0.56 385 back subsumes 229.
% 0.39/0.56 386 back subsumes 228.
% 0.39/0.56 415 back subsumes 412.
% 0.39/0.56 678 back subsumes 676.
% 0.39/0.56 679 back subsumes 677.
% 0.39/0.56 838 back subsumes 714.
% 0.39/0.56 867 back subsumes 459.
% 0.39/0.56 1085 back subsumes 1083.
% 0.39/0.56 1086 back subsumes 1082.
% 0.39/0.56 Following clause subsumed by 737 during input processing: 0 [copy,1235,flip.1] {-} c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),A),A)!=c_Groups_Ozero__class_Ozero(tc_Int_Oint).
% 0.39/0.56 1296 back subsumes 1291.
% 0.39/0.56
% 0.39/0.56 ------------> process sos:
% 0.39/0.56 Following clause subsumed by 1320 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,A,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))|c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,A)=A.
% 0.39/0.56 Following clause subsumed by 1369 during input processing: 0 [demod,1362] {-} c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OPls),A).
% 0.39/0.56 Following clause subsumed by 1383 during input processing: 0 [] {-} A=B|c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,B,A).
% 0.39/0.56 Following clause subsumed by 1367 during input processing: 0 [demod,1362,1362] {-} 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).
% 0.39/0.56 Following clause subsumed by 1387 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,c_Int_OPls).
% 0.39/0.56 Following clause subsumed by 1387 during input processing: 0 [demod,1322,1339,1339] {-} c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,c_Int_OPls).
% 0.39/0.56 Following clause subsumed by 1387 during input processing: 0 [demod,1322,1339,1322,1339] {-} c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,c_Int_OPls).
% 0.39/0.56 Following clause subsumed by 1535 during input processing: 0 [demod,1526,1526] {-} c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,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,A,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,B,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)))).
% 0.39/0.56 Following clause subsumed by 1553 during input processing: 0 [demod,1551] {-} A=A.
% 0.39/0.56 Following clause subsumed by 1553 during input processing: 0 [demod,1339,1339,1339] {-} c_Groups_Oplus__class_Oplus(tc_Int_Oint,A,B)=c_Groups_Oplus__class_Oplus(tc_Int_Oint,A,B).
% 0.39/0.59 Following clause subsumed by 1553 during input processing: 0 [demod,1593] {-} c_Groups_Ominus__class_Ominus(tc_Int_Oint,A,B)=c_Groups_Ominus__class_Ominus(tc_Int_Oint,A,B).
% 0.39/0.59 Following clause subsumed by 1553 during input processing: 0 [demod,1339,1339,1593,1339] {-} c_Groups_Ominus__class_Ominus(tc_Int_Oint,A,B)=c_Groups_Ominus__class_Ominus(tc_Int_Oint,A,B).
% 0.39/0.59 Following clause subsumed by 1553 during input processing: 0 [demod,1530,1551,1551,1555,1606,1526,1526,1533] {-} 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,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)))).
% 0.39/0.59 Following clause subsumed by 1553 during input processing: 0 [] {-} A=A.
% 0.39/0.59 Following clause subsumed by 1553 during input processing: 0 [copy,1337,flip.1] {-} c_Int_OPls=c_Int_OPls.
% 0.39/0.59 Following clause subsumed by 1553 during input processing: 0 [copy,1345,flip.1] {-} c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,A)=c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,A).
% 0.39/0.59 Following clause subsumed by 1553 during input processing: 0 [copy,1359,flip.1,demod,1555,1555] {-} c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Int_OPls,c_Groups_Oplus__class_Oplus(tc_Int_Oint,A,A))=c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Int_OPls,c_Groups_Oplus__class_Oplus(tc_Int_Oint,A,A)).
% 0.39/0.59 Following clause subsumed by 1553 during input processing: 0 [copy,1364,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).
% 0.39/0.59 Following clause subsumed by 1370 during input processing: 0 [copy,1370,flip.1] {-} c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,A,B),C)=c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,A,C),B).
% 0.39/0.59 1372 back subsumes 1175.
% 0.39/0.59 1383 back subsumes 1382.
% 0.39/0.59 1384 back subsumes 422.
% 0.39/0.59 1397 back subsumes 1204.
% 0.39/0.59 Following clause subsumed by 1553 during input processing: 0 [copy,1422,flip.1,demod,1487,1487] {-} c_RealDef_Oreal(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)))=c_RealDef_Oreal(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint))).
% 0.39/0.59 Following clause subsumed by 1553 during input processing: 0 [copy,1431,flip.1] {-} c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,A),B)=c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,A),B).
% 0.39/0.59 Following clause subsumed by 1553 during input processing: 0 [copy,1466,flip.1] {-} c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,A,B)=c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,A,B).
% 0.39/0.59 Following clause subsumed by 1468 during input processing: 0 [copy,1468,flip.1] {-} c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,A,B))=c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,B,A)).
% 0.39/0.59 Following clause subsumed by 1553 during input processing: 0 [copy,1479,flip.1,demod,1487,1487] {-} 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)).
% 0.39/0.59 Following clause subsumed by 1553 during input processing: 0 [copy,1499,flip.1,demod,1555,1606,1555,1606] {-} 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))).
% 0.39/0.60 Following clause subsumed by 1615 during input processing: 0 [copy,1528,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)),A)=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint))).
% 0.39/0.60 Following clause subsumed by 1536 during input processing: 0 [copy,1536,flip.1] {-} c_Groups_Oplus__class_Oplus(tc_Int_Oint,A,B)=c_Groups_Oplus__class_Oplus(tc_Int_Oint,B,A).
% 0.39/0.60 Following clause subsumed by 1537 during input processing: 0 [copy,1537,flip.1] {-} c_Groups_Oplus__class_Oplus(tc_Int_Oint,A,c_Groups_Oplus__class_Oplus(tc_Int_Oint,B,C))=c_Groups_Oplus__class_Oplus(tc_Int_Oint,B,c_Groups_Oplus__class_Oplus(tc_Int_Oint,A,C)).
% 0.39/0.60 Following clause subsumed by 1553 during input processing: 0 [copy,1553,flip.1] {-} A=A.
% 0.39/0.60 1553 back subsumes 1499.
% 0.39/0.60 1553 back subsumes 1466.
% 0.39/0.60 1553 back subsumes 1431.
% 0.39/0.60 1553 back subsumes 1364.
% 0.39/0.60 1553 back subsumes 1359.
% 0.39/0.60 1553 back subsumes 1345.
% 0.39/0.60 1553 back subsumes 1337.
% 0.39/0.60 1553 back subsumes 1216.
% 0.39/0.60 1553 back subsumes 1215.
% 0.39/0.60 1553 back subsumes 1212.
% 0.39/0.60 1553 back subsumes 1210.
% 0.39/0.60 1553 back subsumes 1203.
% 0.39/0.60 1553 back subsumes 1179.
% 0.39/0.60 1553 back subsumes 1178.
% 0.39/0.60 1553 back subsumes 1177.
% 0.39/0.60 1553 back subsumes 1173.
% 0.39/0.60 Following clause subsumed by 1615 during input processing: 0 [copy,1615,flip.1] {-} c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,B)=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,B,A).
% 0.39/0.60 1615 back subsumes 1608.
% 0.39/0.60 1615 back subsumes 1528.
% 0.39/0.60 Following clause subsumed by 1616 during input processing: 0 [copy,1616,flip.1] {-} c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,B,C))=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,B,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,C)).
% 0.39/0.60 Following clause subsumed by 1639 during input processing: 0 [copy,1639,flip.1] {-} c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,A,B)=c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,B,A).
% 0.39/0.60 Following clause subsumed by 1375 during input processing: 0 [copy,1975,flip.1] {-} c_Groups_Ominus__class_Ominus(tc_Nat_Onat,A,A)=c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OPls).
% 0.39/0.60 Following clause subsumed by 2166 during input processing: 0 [copy,2005,flip.1] {-} c_Groups_Ominus__class_Ominus(tc_Nat_Onat,A,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,B,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint))))=c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,A,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint))),B).
% 0.39/0.60 Following clause subsumed by 2005 during input processing: 0 [copy,2166,flip.1] {-} c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,A,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint))),B)=c_Groups_Ominus__class_Ominus(tc_Nat_Onat,A,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,B,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)))).
% 0.39/0.60 2180 back subsumes 1890.
% 0.39/0.60 2188 back subsumes 2129.
% 0.39/0.60 2189 back subsumes 2130.
% 0.39/0.60 Following clause subsumed by 2236 during input processing: 0 [copy,2235,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).
% 0.39/0.60 Following clause subsumed by 2235 during input processing: 0 [copy,2236,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)).
% 0.39/0.60 Following clause subsumed by 2289 during input processing: 0 [copy,2243,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)),B))=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,B,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)))).
% 0.39/0.60 Following clause subsumed by 1557 during input processing: 0 [copy,2276,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))).
% 0.39/0.60 Following clause subsumed by 1564 during input processing: 0 [copy,2277,flip.1] {-} c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,A,B),C)=c_Groups_Ominus__class_Ominus(tc_Nat_Onat,A,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,B,C)).
% 0.39/0.60 Following clause subsumed by 1577 during input processing: 0 [copy,2279,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,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)))).
% 0.39/0.60 Following clause subsumed by 1579 during input processing: 0 [copy,2280,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,B,c_Groups_Oplus__class_Oplus(tc_Int_Oint,A,B)))).
% 0.39/0.60 Following clause subsumed by 1585 during input processing: 0 [copy,2281,flip.1] {-} c_Groups_Ominus__class_Ominus(tc_Nat_Onat,A,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,B))=c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OPls).
% 0.39/0.60 Following clause subsumed by 2296 during input processing: 0 [copy,2287,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_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)),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))).
% 0.39/0.60 Following clause subsumed by 2243 during input processing: 0 [copy,2289,flip.1] {-} c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,B,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,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)).
% 0.39/0.60 Following clause subsumed by 1634 during input processing: 0 [copy,2290,flip.1] {-} c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(A,B),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(A,C),hAPP(A,B)),c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,C,B)),B))=c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(A,C),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(A,C),hAPP(A,B)),c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,C,B)),C)).
% 0.39/0.60 Following clause subsumed by 2287 during input processing: 0 [copy,2296,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)),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_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))))).
% 0.39/0.60 Following clause subsumed by 2288 during input processing: 0 [copy,2299,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)).
% 0.39/0.60
% 0.39/0.60 ======= end of input processing =======
% 0.39/0.60
% 0.39/0.60 SEGMENTATION FAULT!! This is probably caused by a
% 0.39/0.60 bug in Otter. Please send copy of the input file to
% 0.39/0.60 otter@mcs.anl.gov, let us know what version of Otter you are
% 0.39/0.60 using, and send any other info that might be useful.
% 0.39/0.60
% 0.39/0.60
% 0.39/0.60 SEGMENTATION FAULT!! This is probably caused by a
% 0.39/0.60 bug in Otter. Please send copy of the input file to
% 0.39/0.60 otter@mcs.anl.gov, let us know what version of Otter you are
% 0.39/0.60 using, and send any other info that might be useful.
% 0.39/0.60
% 0.39/0.60
% 0.39/0.60 The job finished Sun Jun 5 16:42:32 2022
%------------------------------------------------------------------------------