TSTP Solution File: SWW205+1 by SOS---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : SWW205+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n021.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Thu Jul 21 01:26:21 EDT 2022
% Result : Unknown 0.37s 0.63s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.13 % Problem : SWW205+1 : TPTP v8.1.0. Released v5.2.0.
% 0.05/0.14 % Command : sos-script %s
% 0.13/0.35 % Computer : n021.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Mon Jun 6 03:08:35 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.35/0.54 ----- Otter 3.2, August 2001 -----
% 0.35/0.54 The process was started by sandbox2 on n021.cluster.edu,
% 0.35/0.54 Mon Jun 6 03:08:35 2022
% 0.35/0.54 The command was "./sos". The process ID is 10100.
% 0.35/0.54
% 0.35/0.54 set(prolog_style_variables).
% 0.35/0.54 set(auto).
% 0.35/0.54 dependent: set(auto1).
% 0.35/0.54 dependent: set(process_input).
% 0.35/0.54 dependent: clear(print_kept).
% 0.35/0.54 dependent: clear(print_new_demod).
% 0.35/0.54 dependent: clear(print_back_demod).
% 0.35/0.54 dependent: clear(print_back_sub).
% 0.35/0.54 dependent: set(control_memory).
% 0.35/0.54 dependent: assign(max_mem, 12000).
% 0.35/0.54 dependent: assign(pick_given_ratio, 4).
% 0.35/0.54 dependent: assign(stats_level, 1).
% 0.35/0.54 dependent: assign(pick_semantic_ratio, 3).
% 0.35/0.54 dependent: assign(sos_limit, 5000).
% 0.35/0.54 dependent: assign(max_weight, 60).
% 0.35/0.54 clear(print_given).
% 0.35/0.54
% 0.35/0.54 formula_list(usable).
% 0.35/0.54
% 0.35/0.54 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=7.
% 0.35/0.54
% 0.35/0.54 This ia a non-Horn set with equality. The strategy will be
% 0.35/0.54 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.35/0.54 unit deletion, with positive clauses in sos and nonpositive
% 0.35/0.54 clauses in usable.
% 0.35/0.54
% 0.35/0.54 dependent: set(knuth_bendix).
% 0.35/0.54 dependent: set(para_from).
% 0.35/0.54 dependent: set(para_into).
% 0.35/0.54 dependent: clear(para_from_right).
% 0.35/0.54 dependent: clear(para_into_right).
% 0.35/0.54 dependent: set(para_from_vars).
% 0.35/0.54 dependent: set(eq_units_both_ways).
% 0.35/0.54 dependent: set(dynamic_demod_all).
% 0.35/0.54 dependent: set(dynamic_demod).
% 0.35/0.54 dependent: set(order_eq).
% 0.35/0.54 dependent: set(back_demod).
% 0.35/0.54 dependent: set(lrpo).
% 0.35/0.54 dependent: set(hyper_res).
% 0.35/0.54 dependent: set(unit_deletion).
% 0.35/0.54 dependent: set(factor).
% 0.35/0.54
% 0.35/0.54 ------------> process usable:
% 0.35/0.54 Following clause subsumed by 16 during input processing: 0 [] {-} A=B|hAPP(c_Complex_ORe,A)!=hAPP(c_Complex_ORe,B)|hAPP(c_Complex_OIm,A)!=hAPP(c_Complex_OIm,B).
% 0.35/0.54 Following clause subsumed by 27 during input processing: 0 [] {-} -class_Groups_Oordered__ab__group__add__abs(A)| -c_Orderings_Oord__class_Oless__eq(A,B,C)| -c_Orderings_Oord__class_Oless__eq(A,hAPP(c_Groups_Ouminus__class_Ouminus(A),B),C)|c_Orderings_Oord__class_Oless__eq(A,c_Groups_Oabs__class_Oabs(A,B),C).
% 0.35/0.54 Following clause subsumed by 26 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,hAPP(c_Groups_Ouminus__class_Ouminus(A),B),C).
% 0.35/0.54 Following clause subsumed by 44 during input processing: 0 [] {-} -class_Groups_Ocancel__semigroup__add(A)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),C)!=hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),D),C)|B=D.
% 0.35/0.54 Following clause subsumed by 46 during input processing: 0 [] {-} -class_Groups_Ocancel__semigroup__add(A)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),C)!=hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),D)|C=D.
% 0.35/0.54 Following clause subsumed by 54 during input processing: 0 [] {-} -class_Groups_Ogroup__add(A)|hAPP(c_Groups_Ouminus__class_Ouminus(A),B)=C|hAPP(c_Groups_Ouminus__class_Ouminus(A),C)!=B.
% 0.35/0.54 Following clause subsumed by 55 during input processing: 0 [] {-} -class_Groups_Ogroup__add(A)|B=hAPP(c_Groups_Ouminus__class_Ouminus(A),C)|C!=hAPP(c_Groups_Ouminus__class_Ouminus(A),B).
% 0.35/0.54 Following clause subsumed by 66 during input processing: 0 [] {-} -class_Groups_Oordered__ab__semigroup__add__imp__le(A)| -c_Orderings_Oord__class_Oless__eq(A,hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),C),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),D))|c_Orderings_Oord__class_Oless__eq(A,C,D).
% 0.35/0.54 Following clause subsumed by 67 during input processing: 0 [] {-} -class_Groups_Oordered__ab__semigroup__add__imp__le(A)| -c_Orderings_Oord__class_Oless__eq(A,hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),C),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),D),C))|c_Orderings_Oord__class_Oless__eq(A,B,D).
% 0.35/0.54 Following clause subsumed by 73 during input processing: 0 [flip.2] {-} -class_Groups_Olinordered__ab__group__add(A)|hAPP(c_Groups_Ouminus__class_Ouminus(A),B)!=B|B=c_Groups_Ozero__class_Ozero(A).
% 0.35/0.54 Following clause subsumed by 74 during input processing: 0 [flip.2] {-} -class_Groups_Olinordered__ab__group__add(A)|hAPP(c_Groups_Ouminus__class_Ouminus(A),B)=B|B!=c_Groups_Ozero__class_Ozero(A).
% 0.35/0.54 Following clause subsumed by 80 during input processing: 0 [] {-} -class_Groups_Oordered__ab__group__add(A)|c_Orderings_Oord__class_Oless__eq(A,hAPP(c_Groups_Ouminus__class_Ouminus(A),B),hAPP(c_Groups_Ouminus__class_Ouminus(A),C))| -c_Orderings_Oord__class_Oless__eq(A,C,B).
% 0.35/0.54 Following clause subsumed by 82 during input processing: 0 [] {-} -class_Groups_Oordered__ab__group__add(A)|c_Orderings_Oord__class_Oless__eq(A,hAPP(c_Groups_Ouminus__class_Ouminus(A),B),C)| -c_Orderings_Oord__class_Oless__eq(A,hAPP(c_Groups_Ouminus__class_Ouminus(A),C),B).
% 0.35/0.54 Following clause subsumed by 83 during input processing: 0 [] {-} -class_Groups_Oordered__ab__group__add(A)|c_Orderings_Oord__class_Oless__eq(A,B,hAPP(c_Groups_Ouminus__class_Ouminus(A),C))| -c_Orderings_Oord__class_Oless__eq(A,C,hAPP(c_Groups_Ouminus__class_Ouminus(A),B)).
% 0.35/0.54 Following clause subsumed by 25 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).
% 0.35/0.54 Following clause subsumed by 106 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),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),C)).
% 0.35/0.54 Following clause subsumed by 138 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),A),B),C)|c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,C).
% 0.35/0.54 Following clause subsumed by 139 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),A),B),C)|c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,B,C).
% 0.35/0.54 Following clause subsumed by 143 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)).
% 0.35/0.54 Following clause subsumed by 148 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.
% 0.35/0.54 Following clause subsumed by 146 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.
% 0.35/0.54 Following clause subsumed by 148 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.
% 0.35/0.54 Following clause subsumed by 148 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.
% 0.35/0.54 Following clause subsumed by 143 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)).
% 0.35/0.54 Following clause subsumed by 145 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).
% 0.35/0.54 Following clause subsumed by 165 during input processing: 0 [] {-} -class_Rings_Ozero__neq__one(A)|c_Groups_Ozero__class_Ozero(A)!=c_Groups_Oone__class_Oone(A).
% 0.35/0.54 Following clause subsumed by 162 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).
% 0.35/0.54 Following clause subsumed by 142 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,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),C),B)).
% 0.35/0.54 Following clause subsumed by 177 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,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B),C)).
% 0.35/0.54 Following clause subsumed by 174 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,B)|B!=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),A),C).
% 0.35/0.54 Following clause subsumed by 184 during input processing: 0 [] {-} -class_Lattices_Oboolean__algebra(A)| -c_Orderings_Oord__class_Oless__eq(A,B,C)|c_Orderings_Oord__class_Oless__eq(A,hAPP(c_Groups_Ouminus__class_Ouminus(A),C),hAPP(c_Groups_Ouminus__class_Ouminus(A),B)).
% 0.35/0.54 Following clause subsumed by 200 during input processing: 0 [flip.2] {-} -class_Rings_Ocomm__semiring__1(A)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),C)),D)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),C),D)).
% 0.35/0.54 Following clause subsumed by 205 during input processing: 0 [] {-} -class_Groups_Ouminus(A)|hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(B,A)),C),D)=hAPP(c_Groups_Ouminus__class_Ouminus(A),hAPP(C,D)).
% 0.35/0.54 Following clause subsumed by 232 during input processing: 0 [] {-} c_Fun_Ocomp(A,B,C,D,E)!=c_Fun_Ocomp(F,B,C,G,H)|hAPP(D,hAPP(E,I))=hAPP(G,hAPP(H,I)).
% 0.35/0.54 Following clause subsumed by 266 during input processing: 0 [] {-} -class_Orderings_Opreorder(A)| -c_Orderings_Oord__class_Oless(A,B,C)| -c_Orderings_Oord__class_Oless(A,C,B).
% 0.35/0.54 Following clause subsumed by 266 during input processing: 0 [] {-} -class_Orderings_Opreorder(A)| -c_Orderings_Oord__class_Oless(A,B,C)| -c_Orderings_Oord__class_Oless(A,C,B).
% 0.35/0.54 Following clause subsumed by 266 during input processing: 0 [] {-} -class_Orderings_Opreorder(A)| -c_Orderings_Oord__class_Oless(A,B,C)| -c_Orderings_Oord__class_Oless(A,C,B).
% 0.35/0.54 Following clause subsumed by 275 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -c_Orderings_Oord__class_Oless(A,B,C)|B!=C.
% 0.35/0.54 Following clause subsumed by 265 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).
% 0.35/0.54 Following clause subsumed by 265 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.
% 0.35/0.54 Following clause subsumed by 265 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).
% 0.35/0.54 Following clause subsumed by 265 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.
% 0.35/0.54 Following clause subsumed by 265 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).
% 0.35/0.54 Following clause subsumed by 279 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|B!=C| -c_Orderings_Oord__class_Oless(A,B,C).
% 0.35/0.54 Following clause subsumed by 285 during input processing: 0 [] {-} -class_Rings_Olinordered__semidom(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Oone__class_Oone(A),B)| -c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),D))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,C,D).
% 0.35/0.54 Following clause subsumed by 286 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,hAPP(hAPP(c_Power_Opower__class_Opower(A),D),B),hAPP(hAPP(c_Power_Opower__class_Opower(A),D),C)).
% 0.35/0.54 Following clause subsumed by 287 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).
% 0.35/0.54 Following clause subsumed by 288 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).
% 0.35/0.54 Following clause subsumed by 287 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).
% 0.35/0.54 Following clause subsumed by 275 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -c_Orderings_Oord__class_Oless(A,B,C)|B!=C.
% 0.35/0.54 Following clause subsumed by 290 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.
% 0.35/0.54 Following clause subsumed by 289 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).
% 0.35/0.54 Following clause subsumed by 146 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|c_Orderings_Oord__class_Oless__eq(A,B,C)|B!=C.
% 0.35/0.54 Following clause subsumed by 287 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).
% 0.35/0.54 Following clause subsumed by 287 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).
% 0.35/0.54 Following clause subsumed by 290 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).
% 0.35/0.54 Following clause subsumed by 288 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).
% 0.35/0.54 Following clause subsumed by 291 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).
% 0.35/0.54 Following clause subsumed by 294 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.
% 0.35/0.54 Following clause subsumed by 279 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.
% 0.35/0.54 Following clause subsumed by 290 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.
% 0.35/0.54 Following clause subsumed by 290 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).
% 0.35/0.54 Following clause subsumed by 296 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).
% 0.35/0.54 Following clause subsumed by 301 during input processing: 0 [] {-} -class_Groups_Oordered__ab__semigroup__add__imp__le(A)| -c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),C),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),D),C))|c_Orderings_Oord__class_Oless(A,B,D).
% 0.35/0.54 Following clause subsumed by 303 during input processing: 0 [] {-} -class_Groups_Oordered__ab__semigroup__add__imp__le(A)| -c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),C),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),D))|c_Orderings_Oord__class_Oless(A,C,D).
% 0.35/0.54 Following clause subsumed by 308 during input processing: 0 [] {-} -class_Groups_Oordered__ab__group__add(A)|c_Orderings_Oord__class_Oless(A,B,hAPP(c_Groups_Ouminus__class_Ouminus(A),C))| -c_Orderings_Oord__class_Oless(A,C,hAPP(c_Groups_Ouminus__class_Ouminus(A),B)).
% 0.35/0.54 Following clause subsumed by 309 during input processing: 0 [] {-} -class_Groups_Oordered__ab__group__add(A)|c_Orderings_Oord__class_Oless(A,hAPP(c_Groups_Ouminus__class_Ouminus(A),B),C)| -c_Orderings_Oord__class_Oless(A,hAPP(c_Groups_Ouminus__class_Ouminus(A),C),B).
% 0.35/0.54 Following clause subsumed by 314 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.
% 0.35/0.54 Following clause subsumed by 312 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).
% 0.35/0.54 Following clause subsumed by 320 during input processing: 0 [] {-} -class_SEQ_Ocomplete__space(A)| -c_SEQ_OCauchy(A,B)|c_SEQ_Oconvergent(A,B).
% 0.35/0.54 Following clause subsumed by 330 during input processing: 0 [] {-} -class_RealVector_Oreal__algebra__1(A)| -class_RealVector_Oreal__normed__vector(A)|hAPP(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 334 during input processing: 0 [flip.3] {-} -class_RealVector_Oreal__algebra__1(A)| -class_RealVector_Oreal__normed__vector(A)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),hAPP(c_RealVector_Oof__real(A),B)),hAPP(c_RealVector_Oof__real(A),C))=hAPP(c_RealVector_Oof__real(A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),B),C)).
% 0.35/0.54 Following clause subsumed by 360 during input processing: 0 [] {-} -class_RealVector_Oreal__algebra__1(A)| -class_RealVector_Oreal__normed__vector(A)|hAPP(c_RealVector_Oof__real(A),hAPP(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal),B))=hAPP(c_Groups_Ouminus__class_Ouminus(A),hAPP(c_RealVector_Oof__real(A),B)).
% 0.35/0.54 Following clause subsumed by 401 during input processing: 0 [] {-} -class_Rings_Olinordered__idom(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),B)|c_Groups_Osgn__class_Osgn(A,B)=c_Groups_Oone__class_Oone(A).
% 0.35/0.54 Following clause subsumed by 377 during input processing: 0 [] {-} A=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)| -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),A)|c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal,A)=c_Groups_Oone__class_Oone(tc_RealDef_Oreal).
% 0.35/0.54 Following clause subsumed by 403 during input processing: 0 [] {-} A!=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal,A)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal).
% 0.35/0.54 Following clause subsumed by 377 during input processing: 0 [] {-} A=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)| -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),A)|c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal,A)=c_Groups_Oone__class_Oone(tc_RealDef_Oreal).
% 0.35/0.54 Following clause subsumed by 409 during input processing: 0 [flip.2] {-} -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,A,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))|hAPP(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal),A)=c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,A).
% 0.35/0.54 Following clause subsumed by 419 during input processing: 0 [] {-} -class_Rings_Olinordered__semidom(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Oone__class_Oone(A),B)| -c_Orderings_Oord__class_Oless__eq(A,hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),D))|c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,C,D).
% 0.35/0.54 Following clause subsumed by 422 during input processing: 0 [] {-} -class_Rings_Olinordered__idom(A)| -c_Orderings_Oord__class_Oless(A,B,c_Groups_Ozero__class_Ozero(A))|c_Groups_Osgn__class_Osgn(A,B)=hAPP(c_Groups_Ouminus__class_Ouminus(A),c_Groups_Oone__class_Oone(A)).
% 0.35/0.54 Following clause subsumed by 436 during input processing: 0 [] {-} A!=B| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B).
% 0.35/0.54 Following clause subsumed by 437 during input processing: 0 [] {-} A!=B| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,B,A).
% 0.35/0.55 Following clause subsumed by 438 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,A).
% 0.35/0.55 Following clause subsumed by 433 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 0.35/0.55 Following clause subsumed by 450 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).
% 0.35/0.55 Following clause subsumed by 433 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 0.35/0.55 Following clause subsumed by 455 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),C),B)).
% 0.35/0.55 Following clause subsumed by 456 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B),C)).
% 0.35/0.55 Following clause subsumed by 436 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|A!=B.
% 0.35/0.55 Following clause subsumed by 462 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.
% 0.35/0.55 Following clause subsumed by 461 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).
% 0.35/0.55 Following clause subsumed by 162 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,B)|A!=B.
% 0.35/0.55 Following clause subsumed by 461 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).
% 0.35/0.55 Following clause subsumed by 461 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).
% 0.35/0.55 Following clause subsumed by 462 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).
% 0.35/0.55 Following clause subsumed by 461 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).
% 0.35/0.55 Following clause subsumed by 162 during input processing: 0 [] {-} A!=B|c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,B).
% 0.35/0.55 Following clause subsumed by 456 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),A),B))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),A).
% 0.35/0.55 Following clause subsumed by 455 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),A),B))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),B).
% 0.35/0.55 Following clause subsumed by 481 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_Nat_Onat,B,c_RComplete_Onatfloor(A))| -c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,B),A).
% 0.35/0.55 Following clause subsumed by 482 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_Nat_Onat,c_RComplete_Onatceiling(A),B)| -c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,A,c_RealDef_Oreal(tc_Nat_Onat,B)).
% 0.35/0.55 Following clause subsumed by 447 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),A),B))|B=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),A).
% 0.35/0.55 Following clause subsumed by 449 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),A),B))|B!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.35/0.55 Following clause subsumed by 448 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),A),B))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),A).
% 0.35/0.55 Following clause subsumed by 510 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),c_Groups_Oone__class_Oone(tc_Int_Oint)),B)| -c_Orderings_Oord__class_Oless(tc_Int_Oint,A,B).
% 0.35/0.55 Following clause subsumed by 530 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),c_Groups_Ozero__class_Ozero(A))=c_Groups_Ozero__class_Ozero(A).
% 0.37/0.55 Following clause subsumed by 531 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),c_Groups_Ozero__class_Ozero(A)),B)=c_Groups_Ozero__class_Ozero(A).
% 0.37/0.55 Following clause subsumed by 532 during input processing: 0 [] {-} -class_Rings_Ono__zero__divisors(A)|B=c_Groups_Ozero__class_Ozero(A)|C=c_Groups_Ozero__class_Ozero(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)!=c_Groups_Ozero__class_Ozero(A).
% 0.37/0.55 Following clause subsumed by 540 during input processing: 0 [] {-} -class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(A)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),E))!=hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),E)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),C))|B=D|C=E.
% 0.37/0.55 Following clause subsumed by 541 during input processing: 0 [] {-} -class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(A)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),E))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),E)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),C))|B!=D.
% 0.37/0.55 Following clause subsumed by 542 during input processing: 0 [] {-} -class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(A)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),E))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),E)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),C))|C!=E.
% 0.37/0.55 Following clause subsumed by 545 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),C)),D)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),D)).
% 0.37/0.55 Following clause subsumed by 547 during input processing: 0 [flip.2] {-} -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),C),D)).
% 0.37/0.55 Following clause subsumed by 557 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(c_Groups_Ouminus__class_Ouminus(A),B)),C)=hAPP(c_Groups_Ouminus__class_Ouminus(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)).
% 0.37/0.55 Following clause subsumed by 558 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),hAPP(c_Groups_Ouminus__class_Ouminus(A),C))=hAPP(c_Groups_Ouminus__class_Ouminus(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)).
% 0.37/0.55 Following clause subsumed by 583 during input processing: 0 [flip.2] {-} -class_Rings_Ocomm__semiring__1(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)),D)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),D)).
% 0.37/0.55 Following clause subsumed by 587 during input processing: 0 [] {-} -class_Lattices_Oab__semigroup__idem__mult(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),B)=B.
% 0.37/0.55 Following clause subsumed by 616 during input processing: 0 [] {-} -class_Rings_Oordered__cancel__semiring(A)| -c_Orderings_Oord__class_Oless__eq(A,B,c_Groups_Ozero__class_Ozero(A))| -c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ozero__class_Ozero(A),C)|c_Orderings_Oord__class_Oless__eq(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C),c_Groups_Ozero__class_Ozero(A)).
% 0.37/0.55 Following clause subsumed by 617 during input processing: 0 [] {-} -class_Rings_Oordered__ring(A)| -c_Orderings_Oord__class_Oless__eq(A,B,c_Groups_Ozero__class_Ozero(A))| -c_Orderings_Oord__class_Oless__eq(A,C,c_Groups_Ozero__class_Ozero(A))|c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ozero__class_Ozero(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)).
% 0.37/0.55 Following clause subsumed by 615 during input processing: 0 [] {-} -class_Rings_Oordered__cancel__semiring(A)| -c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ozero__class_Ozero(A),B)| -c_Orderings_Oord__class_Oless__eq(A,C,c_Groups_Ozero__class_Ozero(A))|c_Orderings_Oord__class_Oless__eq(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C),c_Groups_Ozero__class_Ozero(A)).
% 0.37/0.55 Following clause subsumed by 616 during input processing: 0 [] {-} -class_Rings_Oordered__cancel__semiring(A)| -c_Orderings_Oord__class_Oless__eq(A,B,c_Groups_Ozero__class_Ozero(A))| -c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ozero__class_Ozero(A),C)|c_Orderings_Oord__class_Oless__eq(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C),c_Groups_Ozero__class_Ozero(A)).
% 0.37/0.55 Following clause subsumed by 637 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,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D))| -c_Orderings_Oord__class_Oless(A,C,D).
% 0.37/0.55 Following clause subsumed by 638 during input processing: 0 [] {-} -class_Rings_Olinordered__ring__strict(A)| -c_Orderings_Oord__class_Oless(A,B,c_Groups_Ozero__class_Ozero(A))|c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D))| -c_Orderings_Oord__class_Oless(A,D,C).
% 0.37/0.55 Following clause subsumed by 642 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,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C),c_Groups_Ozero__class_Ozero(A)).
% 0.37/0.55 Following clause subsumed by 632 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,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),D),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D)).
% 0.37/0.55 Following clause subsumed by 638 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,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),B)).
% 0.37/0.55 Following clause subsumed by 735 during input processing: 0 [] {-} hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B)!=c_Groups_Oone__class_Oone(tc_Nat_Onat)|A=c_Groups_Oone__class_Oone(tc_Nat_Onat).
% 0.37/0.55 Following clause subsumed by 737 during input processing: 0 [] {-} hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B)!=c_Groups_Oone__class_Oone(tc_Nat_Onat)|B=c_Groups_Oone__class_Oone(tc_Nat_Onat).
% 0.37/0.55 Following clause subsumed by 739 during input processing: 0 [] {-} hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B)=c_Groups_Oone__class_Oone(tc_Nat_Onat)|A!=c_Groups_Oone__class_Oone(tc_Nat_Onat)|B!=c_Groups_Oone__class_Oone(tc_Nat_Onat).
% 0.37/0.55 Following clause subsumed by 752 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),C)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),B),C)).
% 0.37/0.55 Following clause subsumed by 749 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),C)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),C),A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),C),B)).
% 0.37/0.56 Following clause subsumed by 732 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),C))| -c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,B,C).
% 0.37/0.56 Following clause subsumed by 731 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),C),B))| -c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,C).
% 0.37/0.56 Following clause subsumed by 759 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),A)| -c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),C))|c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,B,C).
% 0.37/0.56 Following clause subsumed by 732 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),A)|c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),C))| -c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,B,C).
% 0.37/0.56 Following clause subsumed by 722 during input processing: 0 [] {-} hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B)!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),C)|A=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|B=C.
% 0.37/0.56 Following clause subsumed by 724 during input processing: 0 [] {-} hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),C)|A!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.37/0.56 Following clause subsumed by 723 during input processing: 0 [] {-} hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),C)|B!=C.
% 0.37/0.56 Following clause subsumed by 748 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),A)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),C))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,B,C).
% 0.37/0.56 Following clause subsumed by 749 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),A)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),C))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,B,C).
% 0.37/0.56 Following clause subsumed by 723 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),C)|B!=C.
% 0.37/0.56 Following clause subsumed by 819 during input processing: 0 [] {-} -class_Groups_Ominus(A)|hAPP(c_Groups_Ominus__class_Ominus(tc_fun(B,A),C,D),E)=c_Groups_Ominus__class_Ominus(A,hAPP(C,E),hAPP(D,E)).
% 0.37/0.56 Following clause subsumed by 839 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),c_Groups_Ominus__class_Ominus(A,C,D))=c_Groups_Ominus__class_Ominus(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D)).
% 0.37/0.56 Following clause subsumed by 840 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),c_Groups_Ominus__class_Ominus(A,B,C)),D)=c_Groups_Ominus__class_Ominus(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),D)).
% 0.37/0.56 Following clause subsumed by 883 during input processing: 0 [flip.2] {-} -c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,B)|hAPP(hAPP(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,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),C),B),A).
% 0.37/0.56 Following clause subsumed by 889 during input processing: 0 [flip.2] {-} -c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,B)|hAPP(hAPP(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,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B),C),A).
% 0.37/0.56 Following clause subsumed by 890 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,B)| -c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,C)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,B,A),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,C,A))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,B,C).
% 0.37/0.56 Following clause subsumed by 895 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,B)|c_Groups_Ominus__class_Ominus(tc_Nat_Onat,A,B)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.37/0.56 Following clause subsumed by 899 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))).
% 0.37/0.56 Following clause subsumed by 900 during input processing: 0 [] {-} -hBOOL(hAPP(A,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,B,C)))|B!=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),C),D)|hBOOL(hAPP(A,D)).
% 0.37/0.56 Following clause subsumed by 726 during input processing: 0 [] {-} A!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.37/0.56 Following clause subsumed by 947 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).
% 0.37/0.56 Following clause subsumed by 985 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_Transcendental_Oln(A),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))| -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,A,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)).
% 0.37/0.56 Following clause subsumed by 984 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),A)| -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oln(A))|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),A).
% 0.37/0.56 Following clause subsumed by 991 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__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oln(A))|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),A).
% 0.37/0.56 Following clause subsumed by 983 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__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oln(A))| -c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),A).
% 0.37/0.56 Following clause subsumed by 748 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(A)),B),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(A)),C))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,B,C).
% 0.37/0.56 Following clause subsumed by 732 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(A)),B),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(A)),C))| -c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,B,C).
% 0.37/0.61 Following clause subsumed by 723 during input processing: 0 [] {-} hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(A)),B)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(A)),C)|B!=C.
% 0.37/0.61 Following clause subsumed by 1038 during input processing: 0 [] {-} -class_Rings_Ocomm__semiring__1(A)|hAPP(hAPP(c_Power_Opower__class_Opower(A),B),c_Nat_OSuc(C))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C)).
% 0.37/0.61 Following clause subsumed by 1045 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).
% 0.37/0.61 279 back subsumes 277.
% 0.37/0.61 386 back subsumes 384.
% 0.37/0.61 387 back subsumes 385.
% 0.37/0.61 583 back subsumes 581.
% 0.37/0.61 584 back subsumes 580.
% 0.37/0.61 817 back subsumes 816.
% 0.37/0.61 871 back subsumes 866.
% 0.37/0.61 932 back subsumes 236.
% 0.37/0.61 990 back subsumes 989.
% 0.37/0.61 Following clause subsumed by 578 during input processing: 0 [copy,1174,flip.1] {-} hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),A)),A)!=c_Groups_Ozero__class_Ozero(tc_Int_Oint).
% 0.37/0.61 1197 back subsumes 1194.
% 0.37/0.61 1230 back subsumes 1227.
% 0.37/0.61
% 0.37/0.61 ------------> process sos:
% 0.37/0.61 Following clause subsumed by 1331 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(v_s,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),v_r).
% 0.37/0.61 Following clause subsumed by 1375 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),A).
% 0.37/0.61 Following clause subsumed by 1375 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_RComplete_Onatfloor(A)).
% 0.37/0.61 Following clause subsumed by 1375 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_RComplete_Onatceiling(A)).
% 0.37/0.61 Following clause subsumed by 1445 during input processing: 0 [demod,1353,1353,1370,1348] {-} A=hAPP(c_Complex_OIm,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex))|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_Complex_OIm,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)),A)|c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal,A)=hAPP(c_Complex_ORe,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex),c_Groups_Oone__class_Oone(tc_Complex_Ocomplex))).
% 0.37/0.61 Following clause subsumed by 1447 during input processing: 0 [demod,1353] {-} c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,A,hAPP(c_Complex_OIm,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)))|c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,A)=A.
% 0.37/0.61 Following clause subsumed by 1459 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 1467 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).
% 0.37/0.61 Following clause subsumed by 1536 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 0.37/0.61 Following clause subsumed by 1376 during input processing: 0 [copy,1376,flip.1] {-} hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),A),B)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B),A).
% 0.37/0.61 Following clause subsumed by 1377 during input processing: 0 [copy,1377,flip.1] {-} hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B),C))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),A),C)).
% 0.37/0.61 1380 back subsumes 1276.
% 0.37/0.61 Following clause subsumed by 1930 during input processing: 0 [copy,1396,flip.1] {-} hAPP(A,hAPP(B,C))=hAPP(A,hAPP(B,C)).
% 0.37/0.61 Following clause subsumed by 1930 during input processing: 0 [copy,1436,flip.1,demod,1671,1671] {-} hAPP(c_Complex_ORe,c_Complex_Oii)=hAPP(c_Complex_ORe,c_Complex_Oii).
% 0.37/0.61 Following clause subsumed by 1930 during input processing: 0 [copy,1449,flip.1,demod,2102,2102] {-} c_Complex_Oexpi(c_Complex_Ocomplex_OComplex(hAPP(c_Complex_ORe,c_Complex_Oii),hAPP(c_Complex_ORe,c_Complex_Oii)))=c_Complex_Oexpi(c_Complex_Ocomplex_OComplex(hAPP(c_Complex_ORe,c_Complex_Oii),hAPP(c_Complex_ORe,c_Complex_Oii))).
% 0.37/0.61 1459 back subsumes 1458.
% 0.37/0.61 Following clause subsumed by 1930 during input processing: 0 [copy,1463,flip.1] {-} c_RealDef_Oreal(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),A),B))=c_RealDef_Oreal(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),A),B)).
% 0.37/0.61 Following clause subsumed by 1496 during input processing: 0 [copy,1496,flip.1] {-} hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),A),B)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),B),A).
% 0.37/0.61 Following clause subsumed by 1540 during input processing: 0 [copy,1540,flip.1] {-} hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B),C))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),C)).
% 0.37/0.61 Following clause subsumed by 1541 during input processing: 0 [copy,1541,flip.1] {-} hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),B)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B),A).
% 0.37/0.61 Following clause subsumed by 1560 during input processing: 0 [copy,1560,flip.1] {-} hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),A),B)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),B),A).
% 0.37/0.61 Following clause subsumed by 1563 during input processing: 0 [copy,1563,flip.1] {-} hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),B),A).
% 0.37/0.61 Following clause subsumed by 1930 during input processing: 0 [copy,1602,flip.1] {-} c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,A,B)=c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,A,B).
% 0.37/0.61 Following clause subsumed by 1930 during input processing: 0 [copy,1645,flip.1] {-} c_Groups_Ominus__class_Ominus(tc_Int_Oint,A,B)=c_Groups_Ominus__class_Ominus(tc_Int_Oint,A,B).
% 0.37/0.61 Following clause subsumed by 1668 during input processing: 0 [copy,1668,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).
% 0.37/0.61 Following clause subsumed by 1930 during input processing: 0 [copy,1679,flip.1] {-} c_Complex_Oii=c_Complex_Oii.
% 0.37/0.61 Following clause subsumed by 1930 during input processing: 0 [copy,1930,flip.1] {-} A=A.
% 0.37/0.61 1930 back subsumes 1679.
% 0.37/0.61 1930 back subsumes 1645.
% 0.37/0.61 1930 back subsumes 1602.
% 0.37/0.61 1930 back subsumes 1463.
% 0.37/0.61 1930 back subsumes 1449.
% 0.37/0.61 1930 back subsumes 1396.
% 0.37/0.61 1930 back subsumes 1309.
% 0.37/0.61 1930 back subsumes 1280.
% 0.37/0.61 1930 back subsumes 1279.
% 0.37/0.61 1930 back subsumes 1278.
% 0.37/0.61 1930 back subsumes 1256.
% 0.37/0.61 1930 back subsumes 1166.
% 0.37/0.61 1930 back subsumes 1150.
% 0.37/0.61 1930 back subsumes 1148.
% 0.37/0.61 1930 back subsumes 1141.
% 0.37/0.61 1930 back subsumes 1140.
% 0.37/0.61 1930 back subsumes 1131.
% 0.37/0.61 Following clause subsumed by 2095 during input processing: 0 [copy,2095,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)).
% 0.37/0.61 Following clause subsumed by 1394 during input processing: 0 [copy,2096,flip.1] {-} c_Fun_Ocomp(A,B,C,D,c_Fun_Ocomp(E,A,C,F,G))=c_Fun_Ocomp(E,B,C,c_Fun_Ocomp(A,B,E,D,F),G).
% 0.37/0.61 Following clause subsumed by 1442 during input processing: 0 [copy,2104,flip.1] {-} hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex),c_Complex_Ocomplex_OComplex(A,B)),c_Complex_Ocomplex_OComplex(C,D))=c_Complex_Ocomplex_OComplex(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),A),C),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),B),D)).
% 0.37/0.62 Following clause subsumed by 2198 during input processing: 0 [copy,2105,flip.1] {-} hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Complex_Oii),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Complex_Oii),c_Complex_Ocomplex_OComplex(A,B)))=c_Complex_Ocomplex_OComplex(hAPP(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal),A),hAPP(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal),B)).
% 0.37/0.62 Following clause subsumed by 1452 during input processing: 0 [copy,2106,flip.1] {-} c_Complex_Ocomplex_Ocomplex__size(c_Complex_Ocomplex_OComplex(A,B))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.37/0.62 Following clause subsumed by 1453 during input processing: 0 [copy,2107,flip.1] {-} c_Nat_Osize__class_Osize(tc_Complex_Ocomplex,c_Complex_Ocomplex_OComplex(A,B))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.37/0.62 Following clause subsumed by 1454 during input processing: 0 [copy,2108,flip.1] {-} c_Complex_Ocomplex_Ocomplex__case(A,B,c_Complex_Ocomplex_OComplex(C,D))=hAPP(hAPP(B,C),D).
% 0.37/0.62 Following clause subsumed by 1455 during input processing: 0 [copy,2109,flip.1] {-} c_Complex_Ocomplex_Ocomplex__rec(A,B,c_Complex_Ocomplex_OComplex(C,D))=hAPP(hAPP(B,C),D).
% 0.37/0.62 Following clause subsumed by 1493 during input processing: 0 [copy,2110,flip.1] {-} hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),A),B)),C)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),A),C)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),B),C)).
% 0.37/0.62 Following clause subsumed by 1497 during input processing: 0 [copy,2113,flip.1] {-} hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),A)),A)=c_Groups_Ozero__class_Ozero(tc_Int_Oint).
% 0.37/0.62 Following clause subsumed by 1511 during input processing: 0 [copy,2120,flip.1] {-} hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),A),B)),C)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),C)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),B),C)).
% 0.37/0.62 Following clause subsumed by 1528 during input processing: 0 [copy,2121,flip.1] {-} hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),B)),C)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),A),C)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),B),C)).
% 0.37/0.62 Following clause subsumed by 2124 during input processing: 0 [copy,2123,flip.1] {-} hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),A))!=c_Groups_Ozero__class_Ozero(tc_Int_Oint).
% 0.37/0.62 Following clause subsumed by 2123 during input processing: 0 [copy,2124,flip.1] {-} c_Groups_Ozero__class_Ozero(tc_Int_Oint)!=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),A)).
% 0.37/0.62 Following clause subsumed by 1548 during input processing: 0 [copy,2127,flip.1] {-} c_Complex_Oexpi(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex),A),B))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Complex_Oexpi(A)),c_Complex_Oexpi(B)).
% 0.37/0.62 Following clause subsumed by 1594 during input processing: 0 [copy,2130,flip.1] {-} hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),c_Complex_Orcis(A,B)),C)=c_Complex_Orcis(hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),A),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,C)),B)).
% 0.37/0.62 Following clause subsumed by 1614 during input processing: 0 [copy,2132,flip.1] {-} hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Complex_Ocomplex_OComplex(A,B)),c_Complex_Ocomplex_OComplex(C,D))=c_Complex_Ocomplex_OComplex(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),A),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),B),D)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),A),D)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),B),C))).
% 0.37/0.62 Following clause subsumed by 1618 during input processing: 0 [copy,2133,flip.1] {-} hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Complex_Orcis(A,B)),c_Complex_Orcis(C,D))=c_Complex_Orcis(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),A),C),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),B),D)).
% 0.37/0.62 Following clause subsumed by 1624 during input processing: 0 [copy,2134,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,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B),C)).
% 0.37/0.62 Following clause subsumed by 1640 during input processing: 0 [copy,2135,flip.1] {-} c_Groups_Ominus__class_Ominus(tc_Nat_Onat,A,A)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.37/0.62 Following clause subsumed by 1647 during input processing: 0 [copy,2138,flip.1] {-} c_Groups_Ominus__class_Ominus(tc_Nat_Onat,A,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),A),B))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.37/0.62 Following clause subsumed by 2100 during input processing: 0 [copy,2178,flip.1,demod,2219] {-} c_Complex_Ocomplex_OComplex(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),A),B),C)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex),c_Complex_Ocomplex_OComplex(A,hAPP(c_Complex_ORe,c_Complex_Oii))),c_Complex_Ocomplex_OComplex(B,C)).
% 0.37/0.62 Following clause subsumed by 2099 during input processing: 0 [copy,2179,flip.1,demod,2219] {-} c_Complex_Ocomplex_OComplex(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),A),B),C)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex),c_Complex_Ocomplex_OComplex(A,C)),c_Complex_Ocomplex_OComplex(B,hAPP(c_Complex_ORe,c_Complex_Oii))).
% 0.37/0.62 Following clause subsumed by 2105 during input processing: 0 [copy,2198,flip.1] {-} c_Complex_Ocomplex_OComplex(hAPP(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal),A),hAPP(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal),B))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Complex_Oii),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Complex_Oii),c_Complex_Ocomplex_OComplex(A,B))).
% 0.37/0.62 Following clause subsumed by 1680 during input processing: 0 [copy,2203,flip.1] {-} hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Complex_Oii),c_Complex_Ocomplex_OComplex(A,B))=c_Complex_Ocomplex_OComplex(hAPP(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal),B),A).
% 0.37/0.62 Following clause subsumed by 1681 during input processing: 0 [copy,2204,flip.1] {-} hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Complex_Ocomplex_OComplex(A,B)),c_Complex_Oii)=c_Complex_Ocomplex_OComplex(hAPP(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal),B),A).
% 0.37/0.62 Following clause subsumed by 1704 during input processing: 0 [copy,2205,flip.1] {-} c_Groups_Ominus__class_Ominus(tc_Nat_Onat,A,c_Nat_OSuc(B))=c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,A,c_Groups_Oone__class_Oone(tc_Nat_Onat)),B).
% 0.37/0.62 Following clause subsumed by 1712 during input processing: 0 [copy,2206,flip.1] {-} hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(A)),B)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B)).
% 0.37/0.62 Following clause subsumed by 1928 during input processing: 0 [copy,2207,flip.1] {-} hAPP(c_COMBC(A,B,C,D,E),F)=hAPP(hAPP(D,F),E).
% 0.37/0.62 Following clause subsumed by 1929 during input processing: 0 [copy,2208,flip.1] {-} hAPP(c_COMBS(A,B,C,D,E),F)=hAPP(hAPP(D,F),hAPP(E,F)).
% 0.37/0.62 Following clause subsumed by 2099 during input processing: 0 [copy,2209,flip.1] {-} c_Complex_Ocomplex_OComplex(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),A),B),C)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex),c_Complex_Ocomplex_OComplex(A,C)),c_Complex_Ocomplex_OComplex(B,hAPP(c_Complex_ORe,c_Complex_Oii))).
% 0.37/0.62 Following clause subsumed by 2100 during input processing: 0 [copy,2210,flip.1] {-} c_Complex_Ocomplex_OComplex(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),A),B),C)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex),c_Complex_Ocomplex_OComplex(A,hAPP(c_Complex_ORe,c_Complex_Oii))),c_Complex_Ocomplex_OComplex(B,C)).
% 0.37/0.62 Following clause subsumed by 2227 during input processing: 0 [copy,2224,flip.1] {-} c_Complex_Ocomplex_OComplex(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),A),B),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),C),B))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Complex_Ocomplex_OComplex(A,C)),c_Complex_Ocomplex_OComplex(B,hAPP(c_Complex_ORe,c_Complex_Oii))).
% 0.37/0.62 Following clause subsumed by 2226 during input processing: 0 [copy,2225,flip.1] {-} c_Complex_Ocomplex_OComplex(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),A),B),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),A),C))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Complex_Ocomplex_OComplex(A,hAPP(c_Complex_ORe,c_Complex_Oii))),c_Complex_Ocomplex_OComplex(B,C)).
% 0.37/0.62 Following clause subsumed by 2225 during input processing: 0 [copy,2226,flip.1] {-} hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Complex_Ocomplex_OComplex(A,hAPP(c_Complex_ORe,c_Complex_Oii))),c_Complex_Ocomplex_OComplex(B,C))=c_Complex_Ocomplex_OComplex(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),A),B),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),A),C)).
% 0.37/0.62 Following clause subsumed by 2224 during input processing: 0 [copy,2227,flip.1] {-} hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Complex_Ocomplex_OComplex(A,B)),c_Complex_Ocomplex_OComplex(C,hAPP(c_Complex_ORe,c_Complex_Oii)))=c_Complex_Ocomplex_OComplex(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),A),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),B),C)).
% 0.37/0.62
% 0.37/0.62 ======= end of input processing =======
% 0.37/0.62
% 0.37/0.62 SEGMENTATION FAULT!! This is probably caused by a
% 0.37/0.62 bug in Otter. Please send copy of the input file to
% 0.37/0.62 otter@mcs.anl.gov, let us know what version of Otter you are
% 0.37/0.62 using, and send any other info that might be useful.
% 0.37/0.62
% 0.37/0.62
% 0.37/0.62 SEGMENTATION FAULT!! This is probably caused by a
% 0.37/0.62 bug in Otter. Please send copy of the input file to
% 0.37/0.62 otter@mcs.anl.gov, let us know what version of Otter you are
% 0.37/0.62 using, and send any other info that might be useful.
% 0.37/0.62
% 0.37/0.62
% 0.37/0.62 The job finished Mon Jun 6 03:08:35 2022
%------------------------------------------------------------------------------