TSTP Solution File: SWW206+1 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : SWW206+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n018.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Thu Jul 21 01:26:21 EDT 2022

% Result   : Unknown 0.45s 0.65s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SWW206+1 : TPTP v8.1.0. Released v5.2.0.
% 0.07/0.13  % Command  : sos-script %s
% 0.13/0.35  % Computer : n018.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Sat Jun  4 22:35:18 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.36/0.54  ----- Otter 3.2, August 2001 -----
% 0.36/0.54  The process was started by sandbox on n018.cluster.edu,
% 0.36/0.54  Sat Jun  4 22:35:18 2022
% 0.36/0.54  The command was "./sos".  The process ID is 25438.
% 0.36/0.54  
% 0.36/0.54  set(prolog_style_variables).
% 0.36/0.54  set(auto).
% 0.36/0.54     dependent: set(auto1).
% 0.36/0.54     dependent: set(process_input).
% 0.36/0.54     dependent: clear(print_kept).
% 0.36/0.54     dependent: clear(print_new_demod).
% 0.36/0.54     dependent: clear(print_back_demod).
% 0.36/0.54     dependent: clear(print_back_sub).
% 0.36/0.54     dependent: set(control_memory).
% 0.36/0.54     dependent: assign(max_mem, 12000).
% 0.36/0.54     dependent: assign(pick_given_ratio, 4).
% 0.36/0.54     dependent: assign(stats_level, 1).
% 0.36/0.54     dependent: assign(pick_semantic_ratio, 3).
% 0.36/0.54     dependent: assign(sos_limit, 5000).
% 0.36/0.54     dependent: assign(max_weight, 60).
% 0.36/0.54  clear(print_given).
% 0.36/0.54  
% 0.36/0.54  formula_list(usable).
% 0.36/0.54  
% 0.36/0.54  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=7.
% 0.36/0.54  
% 0.36/0.54  This ia a non-Horn set with equality.  The strategy will be
% 0.36/0.54  Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.36/0.54  unit deletion, with positive clauses in sos and nonpositive
% 0.36/0.54  clauses in usable.
% 0.36/0.54  
% 0.36/0.54     dependent: set(knuth_bendix).
% 0.36/0.54     dependent: set(para_from).
% 0.36/0.54     dependent: set(para_into).
% 0.36/0.54     dependent: clear(para_from_right).
% 0.36/0.54     dependent: clear(para_into_right).
% 0.36/0.54     dependent: set(para_from_vars).
% 0.36/0.54     dependent: set(eq_units_both_ways).
% 0.36/0.54     dependent: set(dynamic_demod_all).
% 0.36/0.54     dependent: set(dynamic_demod).
% 0.36/0.54     dependent: set(order_eq).
% 0.36/0.54     dependent: set(back_demod).
% 0.36/0.54     dependent: set(lrpo).
% 0.36/0.54     dependent: set(hyper_res).
% 0.36/0.54     dependent: set(unit_deletion).
% 0.36/0.54     dependent: set(factor).
% 0.36/0.54  
% 0.36/0.54  ------------> process usable:
% 0.36/0.54    Following clause subsumed by 8 during input processing: 0 [] {-} -class_SEQ_Ocomplete__space(A)| -c_SEQ_OCauchy(A,B)|c_SEQ_Oconvergent(A,B).
% 0.36/0.54    Following clause subsumed by 26 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).
% 0.36/0.54    Following clause subsumed by 37 during input processing: 0 [] {-} -class_Groups_Oordered__ab__group__add__abs(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,B),C))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,hAPP(c_Groups_Ouminus__class_Ouminus(A),B)),C))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,c_Groups_Oabs__class_Oabs(A,B)),C)).
% 0.36/0.54    Following clause subsumed by 36 during input processing: 0 [] {-} -class_Groups_Oordered__ab__group__add__abs(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,c_Groups_Oabs__class_Oabs(A,B)),C))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,hAPP(c_Groups_Ouminus__class_Ouminus(A),B)),C)).
% 0.36/0.54    Following clause subsumed by 53 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.
% 0.36/0.54    Following clause subsumed by 55 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.
% 0.36/0.54    Following clause subsumed by 65 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.
% 0.36/0.54    Following clause subsumed by 66 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).
% 0.36/0.54    Following clause subsumed by 77 during input processing: 0 [] {-} -class_Groups_Oordered__ab__semigroup__add__imp__le(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),C)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),D)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,C),D)).
% 0.36/0.54    Following clause subsumed by 78 during input processing: 0 [] {-} -class_Groups_Oordered__ab__semigroup__add__imp__le(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),C)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),D),C)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,B),D)).
% 0.36/0.54    Following clause subsumed by 84 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).
% 0.36/0.54    Following clause subsumed by 85 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).
% 0.36/0.54    Following clause subsumed by 91 during input processing: 0 [] {-} -class_Groups_Oordered__ab__group__add(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,hAPP(c_Groups_Ouminus__class_Ouminus(A),B)),hAPP(c_Groups_Ouminus__class_Ouminus(A),C)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,C),B)).
% 0.36/0.54    Following clause subsumed by 93 during input processing: 0 [] {-} -class_Groups_Oordered__ab__group__add(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,hAPP(c_Groups_Ouminus__class_Ouminus(A),B)),C))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,hAPP(c_Groups_Ouminus__class_Ouminus(A),C)),B)).
% 0.36/0.54    Following clause subsumed by 94 during input processing: 0 [] {-} -class_Groups_Oordered__ab__group__add(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,B),hAPP(c_Groups_Ouminus__class_Ouminus(A),C)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,C),hAPP(c_Groups_Ouminus__class_Ouminus(A),B))).
% 0.36/0.54    Following clause subsumed by 35 during input processing: 0 [] {-} -class_Groups_Oordered__ab__group__add__abs(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,c_Groups_Oabs__class_Oabs(A,B)),C))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,B),C)).
% 0.36/0.54    Following clause subsumed by 117 during input processing: 0 [] {-} -class_Groups_Oordered__comm__monoid__add(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ozero__class_Ozero(A)),B))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ozero__class_Ozero(A)),C))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ozero__class_Ozero(A)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),C))).
% 0.36/0.54    Following clause subsumed by 150 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),A),B)),C))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),C)).
% 0.36/0.54    Following clause subsumed by 151 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),A),B)),C))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,B),C)).
% 0.36/0.54    Following clause subsumed by 155 during input processing: 0 [] {-} -class_Orderings_Oord(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(B,A),C),D))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,hAPP(C,E)),hAPP(D,E))).
% 0.36/0.54    Following clause subsumed by 160 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,B),C))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,C),B))|C=B.
% 0.36/0.54    Following clause subsumed by 158 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,B),C))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,C),B))|C!=B.
% 0.36/0.54    Following clause subsumed by 160 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,B),C))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,C),B))|B=C.
% 0.36/0.54    Following clause subsumed by 160 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,B),C))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,C),B))|C=B.
% 0.36/0.54    Following clause subsumed by 155 during input processing: 0 [] {-} -class_Orderings_Oord(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(B,A),C),D))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,hAPP(C,E)),hAPP(D,E))).
% 0.36/0.54    Following clause subsumed by 157 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,B),C))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,C),B)).
% 0.36/0.54    Following clause subsumed by 177 during input processing: 0 [] {-} -class_Rings_Ozero__neq__one(A)|c_Groups_Ozero__class_Ozero(A)!=c_Groups_Oone__class_Oone(A).
% 0.36/0.55    Following clause subsumed by 174 during input processing: 0 [] {-} hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))|A!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.36/0.55    Following clause subsumed by 154 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),B))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),C),B))).
% 0.36/0.55    Following clause subsumed by 189 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),B))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B),C))).
% 0.36/0.55    Following clause subsumed by 186 during input processing: 0 [] {-} hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),B))|B!=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),A),C).
% 0.36/0.55    Following clause subsumed by 196 during input processing: 0 [] {-} -class_Lattices_Oboolean__algebra(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,B),C))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,hAPP(c_Groups_Ouminus__class_Ouminus(A),C)),hAPP(c_Groups_Ouminus__class_Ouminus(A),B))).
% 0.36/0.55    Following clause subsumed by 207 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)).
% 0.36/0.55    Following clause subsumed by 212 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)).
% 0.36/0.55    Following clause subsumed by 260 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)).
% 0.36/0.55    Following clause subsumed by 289 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),A))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,B),c_RComplete_Onatfloor(A)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,B)),A)).
% 0.36/0.55    Following clause subsumed by 299 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),A))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(A)),B))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,A),c_RealDef_Oreal(tc_Nat_Onat,B))).
% 0.36/0.55    Following clause subsumed by 311 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)).
% 0.36/0.55    Following clause subsumed by 315 during input processing: 0 [] {-} -class_Lattices_Oab__semigroup__idem__mult(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),B)=B.
% 0.36/0.55    Following clause subsumed by 321 during input processing: 0 [] {-} -class_Orderings_Opreorder(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,B),C))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,C),B)).
% 0.36/0.55    Following clause subsumed by 321 during input processing: 0 [] {-} -class_Orderings_Opreorder(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,B),C))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,C),B)).
% 0.36/0.55    Following clause subsumed by 321 during input processing: 0 [] {-} -class_Orderings_Opreorder(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,B),C))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,C),B)).
% 0.36/0.55    Following clause subsumed by 330 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,B),C))|B!=C.
% 0.36/0.55    Following clause subsumed by 320 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|B=C|hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,B),C))|hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,C),B)).
% 0.36/0.55    Following clause subsumed by 320 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,B),C))|hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,C),B))|C=B.
% 0.36/0.55    Following clause subsumed by 320 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,B),C))|B=C|hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,C),B)).
% 0.36/0.55    Following clause subsumed by 320 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,B),C))|hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,C),B))|B=C.
% 0.36/0.55    Following clause subsumed by 320 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|B=C|hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,B),C))|hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,C),B)).
% 0.36/0.55    Following clause subsumed by 334 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|B!=C| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,B),C)).
% 0.36/0.55    Following clause subsumed by 350 during input processing: 0 [] {-} -class_Rings_Olinordered__ring__strict(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A)),B))|hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,C),D)).
% 0.36/0.55    Following clause subsumed by 351 during input processing: 0 [] {-} -class_Rings_Olinordered__ring__strict(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,B),c_Groups_Ozero__class_Ozero(A)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,D),C)).
% 0.36/0.55    Following clause subsumed by 355 during input processing: 0 [] {-} -class_Rings_Olinordered__semiring__strict(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,B),c_Groups_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A)),C))|hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)),c_Groups_Ozero__class_Ozero(A))).
% 0.36/0.55    Following clause subsumed by 345 during input processing: 0 [] {-} -class_Rings_Olinordered__ring__strict(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,B),C))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,D),c_Groups_Ozero__class_Ozero(A)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),D)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D))).
% 0.36/0.55    Following clause subsumed by 351 during input processing: 0 [] {-} -class_Rings_Olinordered__ring__strict(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,B),C))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,D),c_Groups_Ozero__class_Ozero(A)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),C)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),B))).
% 0.36/0.55    Following clause subsumed by 383 during input processing: 0 [] {-} -class_Rings_Olinordered__semidom(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,c_Groups_Oone__class_Oone(A)),B))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C)),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),D)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,C),D)).
% 0.36/0.55    Following clause subsumed by 384 during input processing: 0 [] {-} -class_Rings_Olinordered__semidom(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,B),C))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,c_Groups_Oone__class_Oone(A)),D))|hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Power_Opower__class_Opower(A),D),B)),hAPP(hAPP(c_Power_Opower__class_Opower(A),D),C))).
% 0.36/0.55    Following clause subsumed by 390 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,B),C))|hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,C),B)).
% 0.36/0.55    Following clause subsumed by 391 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,B),C))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,C),B)).
% 0.36/0.55    Following clause subsumed by 390 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,B),C))|hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,C),B)).
% 0.36/0.55    Following clause subsumed by 330 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,B),C))|B!=C.
% 0.36/0.55    Following clause subsumed by 393 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,B),C))|hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,B),C))|B=C.
% 0.36/0.55    Following clause subsumed by 392 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,B),C))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,B),C)).
% 0.36/0.55    Following clause subsumed by 158 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,B),C))|B!=C.
% 0.36/0.55    Following clause subsumed by 390 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,B),C))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,C),B)).
% 0.36/0.55    Following clause subsumed by 390 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,B),C))|hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,C),B)).
% 0.36/0.55    Following clause subsumed by 393 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,B),C))|hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,B),C)).
% 0.36/0.55    Following clause subsumed by 391 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,B),C))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,C),B)).
% 0.36/0.55    Following clause subsumed by 394 during input processing: 0 [] {-} -class_Orderings_Opreorder(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,B),C))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,B),C)).
% 0.36/0.55    Following clause subsumed by 397 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,B),C))|hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,B),C))|B=C.
% 0.36/0.55    Following clause subsumed by 334 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,B),C))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,B),C))|B!=C.
% 0.36/0.55    Following clause subsumed by 393 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,B),C))|hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,B),C))|B=C.
% 0.36/0.55    Following clause subsumed by 393 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,B),C))|B=C|hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,B),C)).
% 0.36/0.55    Following clause subsumed by 399 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,B),C))|C=B|hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,B),C)).
% 0.36/0.55    Following clause subsumed by 409 during input processing: 0 [] {-} -class_Rings_Ono__zero__divisors(A)|hAPP(hAPP(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).
% 0.36/0.55    Following clause subsumed by 410 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).
% 0.36/0.55    Following clause subsumed by 411 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).
% 0.36/0.55    Following clause subsumed by 414 during input processing: 0 [] {-} -class_Groups_Oordered__ab__semigroup__add__imp__le(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),C)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),D),C)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,B),D)).
% 0.36/0.55    Following clause subsumed by 416 during input processing: 0 [] {-} -class_Groups_Oordered__ab__semigroup__add__imp__le(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),C)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),D)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,C),D)).
% 0.36/0.55    Following clause subsumed by 425 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)).
% 0.36/0.55    Following clause subsumed by 426 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)).
% 0.36/0.55    Following clause subsumed by 427 during input processing: 0 [] {-} -class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(A)|B=C|D=E|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),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),C),D)).
% 0.36/0.55    Following clause subsumed by 428 during input processing: 0 [] {-} -class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(A)|B!=C|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),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),C),D)).
% 0.36/0.55    Following clause subsumed by 429 during input processing: 0 [] {-} -class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(A)|B!=C|hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),B)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),E),C))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),C)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),E),B)).
% 0.36/0.55    Following clause subsumed by 440 during input processing: 0 [] {-} -class_Groups_Oordered__ab__group__add(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,B),hAPP(c_Groups_Ouminus__class_Ouminus(A),C)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,C),hAPP(c_Groups_Ouminus__class_Ouminus(A),B))).
% 0.36/0.55    Following clause subsumed by 441 during input processing: 0 [] {-} -class_Groups_Oordered__ab__group__add(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,hAPP(c_Groups_Ouminus__class_Ouminus(A),B)),C))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,hAPP(c_Groups_Ouminus__class_Ouminus(A),C)),B)).
% 0.36/0.55    Following clause subsumed by 452 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)).
% 0.36/0.55    Following clause subsumed by 453 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)).
% 0.36/0.55    Following clause subsumed by 463 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,A),B))|hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,A),B))|A=B.
% 0.36/0.55    Following clause subsumed by 461 during input processing: 0 [] {-} hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,A),B))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,A),B)).
% 0.36/0.55    Following clause subsumed by 501 during input processing: 0 [] {-} -class_Rings_Oordered__cancel__semiring(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,B),c_Groups_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ozero__class_Ozero(A)),C))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)),c_Groups_Ozero__class_Ozero(A))).
% 0.36/0.55    Following clause subsumed by 502 during input processing: 0 [] {-} -class_Rings_Oordered__ring(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,B),c_Groups_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,C),c_Groups_Ozero__class_Ozero(A)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ozero__class_Ozero(A)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C))).
% 0.36/0.55    Following clause subsumed by 500 during input processing: 0 [] {-} -class_Rings_Oordered__cancel__semiring(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ozero__class_Ozero(A)),B))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,C),c_Groups_Ozero__class_Ozero(A)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)),c_Groups_Ozero__class_Ozero(A))).
% 0.36/0.55    Following clause subsumed by 501 during input processing: 0 [] {-} -class_Rings_Oordered__cancel__semiring(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,B),c_Groups_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ozero__class_Ozero(A)),C))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)),c_Groups_Ozero__class_Ozero(A))).
% 0.36/0.55    Following clause subsumed by 598 during input processing: 0 [] {-} -class_Rings_Olinordered__idom(A)| -hBOOL(hAPP(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).
% 0.36/0.55    Following clause subsumed by 565 during input processing: 0 [] {-} A=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)| -hBOOL(hAPP(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).
% 0.36/0.55    Following clause subsumed by 601 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).
% 0.36/0.55    Following clause subsumed by 565 during input processing: 0 [] {-} A=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)| -hBOOL(hAPP(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).
% 0.36/0.55    Following clause subsumed by 607 during input processing: 0 [flip.2] {-} -hBOOL(hAPP(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).
% 0.36/0.55    Following clause subsumed by 610 during input processing: 0 [] {-} -class_Rings_Olinordered__semidom(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,c_Groups_Oone__class_Oone(A)),B))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C)),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),D)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,C),D)).
% 0.36/0.55    Following clause subsumed by 614 during input processing: 0 [] {-} -class_Rings_Olinordered__idom(A)| -hBOOL(hAPP(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)).
% 0.36/0.55    Following clause subsumed by 636 during input processing: 0 [] {-} A!=B| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,A),B)).
% 0.36/0.55    Following clause subsumed by 637 during input processing: 0 [] {-} A!=B| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,B),A)).
% 0.36/0.55    Following clause subsumed by 638 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,A),A)).
% 0.36/0.56    Following clause subsumed by 647 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,A),B))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),C))|hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),C)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),B),C))).
% 0.36/0.56    Following clause subsumed by 644 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,A),B))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),C))|hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),C),A)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),C),B))).
% 0.36/0.56    Following clause subsumed by 635 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,A),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 0.36/0.56    Following clause subsumed by 666 during input processing: 0 [] {-} A!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),A)).
% 0.36/0.56    Following clause subsumed by 635 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,A),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 0.36/0.56    Following clause subsumed by 649 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),B))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),C)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),B),C))).
% 0.36/0.56    Following clause subsumed by 651 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),B))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),C),A)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),C),B))).
% 0.36/0.56    Following clause subsumed by 675 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,A),B))|hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),C),B))).
% 0.36/0.56    Following clause subsumed by 676 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,A),B))|hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B),C))).
% 0.36/0.56    Following clause subsumed by 636 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,A),B))|A!=B.
% 0.36/0.56    Following clause subsumed by 682 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),B))|hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,A),B))|A=B.
% 0.36/0.56    Following clause subsumed by 681 during input processing: 0 [] {-} hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),B))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,A),B)).
% 0.36/0.56    Following clause subsumed by 174 during input processing: 0 [] {-} hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),B))|A!=B.
% 0.36/0.56    Following clause subsumed by 681 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,A),B))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),B)).
% 0.36/0.56    Following clause subsumed by 681 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,A),B))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),B)).
% 0.36/0.56    Following clause subsumed by 682 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),B))|A=B|hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,A),B)).
% 0.36/0.56    Following clause subsumed by 681 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,A),B))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),B)).
% 0.36/0.56    Following clause subsumed by 174 during input processing: 0 [] {-} A!=B|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),B)).
% 0.36/0.56    Following clause subsumed by 684 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).
% 0.36/0.56    Following clause subsumed by 686 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).
% 0.36/0.56    Following clause subsumed by 688 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).
% 0.36/0.56    Following clause subsumed by 676 during input processing: 0 [] {-} hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),A),B)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),A)).
% 0.36/0.56    Following clause subsumed by 675 during input processing: 0 [] {-} hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),A),B)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B)).
% 0.36/0.56    Following clause subsumed by 696 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),A),B)))|B=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),A)).
% 0.36/0.56    Following clause subsumed by 698 during input processing: 0 [] {-} hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),A),B)))|B!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.36/0.56    Following clause subsumed by 697 during input processing: 0 [] {-} hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),A),B)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),A)).
% 0.36/0.56    Following clause subsumed by 650 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),A))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),C)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,B),C)).
% 0.36/0.56    Following clause subsumed by 651 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),A))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),C)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,B),C)).
% 0.36/0.56    Following clause subsumed by 720 during input processing: 0 [] {-} hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),c_Groups_Oone__class_Oone(tc_Int_Oint))),B))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,A),B)).
% 0.36/0.56    Following clause subsumed by 660 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.
% 0.36/0.56    Following clause subsumed by 662 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).
% 0.36/0.56    Following clause subsumed by 661 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.
% 0.36/0.56    Following clause subsumed by 643 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),A))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),C)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,B),C)).
% 0.36/0.57    Following clause subsumed by 644 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),A))|hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),C)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,B),C)).
% 0.36/0.57    Following clause subsumed by 661 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),A))|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),C)|B!=C.
% 0.36/0.57    Following clause subsumed by 778 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)).
% 0.36/0.57    Following clause subsumed by 779 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)).
% 0.36/0.57    Following clause subsumed by 785 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)).
% 0.36/0.57    Following clause subsumed by 850 during input processing: 0 [] {-} -hBOOL(hAPP(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).
% 0.36/0.57    Following clause subsumed by 852 during input processing: 0 [] {-} -hBOOL(hAPP(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).
% 0.36/0.57    Following clause subsumed by 869 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),B))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),C))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,B,A)),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,C,A)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,B),C)).
% 0.36/0.57    Following clause subsumed by 876 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),B))|c_Groups_Ominus__class_Ominus(tc_Nat_Onat,A,B)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.36/0.57    Following clause subsumed by 877 during input processing: 0 [] {-} -hBOOL(hAPP(A,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,B,C)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,B),C))|hBOOL(hAPP(A,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 0.36/0.57    Following clause subsumed by 878 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)).
% 0.36/0.57    Following clause subsumed by 664 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).
% 0.36/0.57    Following clause subsumed by 925 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,A),B))|c_Nat__Transfer_Otsub(B,A)=c_Groups_Ominus__class_Ominus(tc_Int_Oint,B,A).
% 0.36/0.57    Following clause subsumed by 963 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),A))|hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Transcendental_Oln(A)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),A)).
% 0.36/0.57    Following clause subsumed by 968 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),A))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,A),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Transcendental_Oln(A)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))).
% 0.36/0.57    Following clause subsumed by 964 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Transcendental_Oln(A)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),A))|hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),A)).
% 0.36/0.57    Following clause subsumed by 962 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),A))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Transcendental_Oln(A)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),A)).
% 0.36/0.57    Following clause subsumed by 969 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Transcendental_Oln(A)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),A))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),A)).
% 0.36/0.57    Following clause subsumed by 1007 during input processing: 0 [] {-} hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,A),B))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,A),c_Nat_OSuc(B)))|A=B.
% 0.36/0.57    Following clause subsumed by 661 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.
% 0.36/0.57    Following clause subsumed by 1005 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(A)),c_Nat_OSuc(B)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,A),B)).
% 0.36/0.57    Following clause subsumed by 989 during input processing: 0 [] {-} hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(A)),c_Nat_OSuc(B)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,A),B)).
% 0.36/0.57    Following clause subsumed by 1007 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,A),c_Nat_OSuc(B)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,A),B))|A=B.
% 0.36/0.57    Following clause subsumed by 1010 during input processing: 0 [] {-} hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,A),c_Nat_OSuc(B)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,A),B)).
% 0.36/0.57    Following clause subsumed by 1016 during input processing: 0 [flip.1] {-} c_Nat_OSuc(A)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.36/0.57    Following clause subsumed by 1016 during input processing: 0 [] {-} c_Nat_OSuc(A)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.36/0.57    Following clause subsumed by 1016 during input processing: 0 [] {-} c_Nat_OSuc(A)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.36/0.57    Following clause subsumed by 1016 during input processing: 0 [flip.1] {-} c_Nat_OSuc(A)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.36/0.57    Following clause subsumed by 1016 during input processing: 0 [flip.1] {-} c_Nat_OSuc(A)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.36/0.57    Following clause subsumed by 1020 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)).
% 0.36/0.57    Following clause subsumed by 1024 during input processing: 0 [] {-} c_Nat_OSuc(A)!=A.
% 0.36/0.62    Following clause subsumed by 1025 during input processing: 0 [] {-} c_Nat_OSuc(A)!=c_Nat_OSuc(B)|A=B.
% 0.36/0.62    Following clause subsumed by 651 during input processing: 0 [] {-} hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(A)),B)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(A)),C)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,B),C)).
% 0.36/0.62    Following clause subsumed by 643 during input processing: 0 [] {-} -hBOOL(hAPP(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)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,B),C)).
% 0.36/0.62    Following clause subsumed by 1014 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),B))|hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,B),c_Nat_OSuc(A)))|B!=A.
% 0.36/0.62  311 back subsumes 309.
% 0.36/0.62  312 back subsumes 308.
% 0.36/0.62  334 back subsumes 332.
% 0.36/0.62  572 back subsumes 570.
% 0.36/0.62  573 back subsumes 571.
% 0.36/0.62  865 back subsumes 864.
% 0.36/0.62  910 back subsumes 265.
% 0.36/0.62  1014 back subsumes 1012.
% 0.36/0.62  1151 back subsumes 1148.
% 0.36/0.62  1191 back subsumes 1188.
% 0.36/0.62    Following clause subsumed by 736 during input processing: 0 [copy,1230,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).
% 0.36/0.62  
% 0.36/0.62  ------------> process sos:
% 0.36/0.62    Following clause subsumed by 1295 during input processing: 0 [] {-} hBOOL(hAPP(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)).
% 0.36/0.62    Following clause subsumed by 1339 during input processing: 0 [] {-} hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),A)).
% 0.36/0.62    Following clause subsumed by 1339 during input processing: 0 [] {-} hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_RComplete_Onatceiling(A))).
% 0.36/0.62    Following clause subsumed by 1339 during input processing: 0 [] {-} hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_RComplete_Onatfloor(A))).
% 0.36/0.62    Following clause subsumed by 1457 during input processing: 0 [demod,1317,1317,1334,1310] {-} A=hAPP(c_Complex_OIm,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex))|hBOOL(hAPP(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))).
% 0.36/0.62    Following clause subsumed by 1459 during input processing: 0 [demod,1317] {-} hBOOL(hAPP(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.
% 0.36/0.62    Following clause subsumed by 1465 during input processing: 0 [] {-} A=B|hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,A),B))|hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,B),A)).
% 0.36/0.62    Following clause subsumed by 1473 during input processing: 0 [] {-} A=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),A)).
% 0.36/0.62    Following clause subsumed by 1541 during input processing: 0 [] {-} hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 0.36/0.62    Following clause subsumed by 1340 during input processing: 0 [demod,1690] {-} hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),A)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),A),c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 0.45/0.64    Following clause subsumed by 1340 during input processing: 0 [copy,1340,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).
% 0.45/0.64    Following clause subsumed by 1341 during input processing: 0 [copy,1341,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)).
% 0.45/0.64  1344 back subsumes 1246.
% 0.45/0.64    Following clause subsumed by 1909 during input processing: 0 [copy,1380,flip.1,demod,2068,2068] {-} 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))).
% 0.45/0.64    Following clause subsumed by 1909 during input processing: 0 [copy,1382,flip.1] {-} hAPP(A,hAPP(B,C))=hAPP(A,hAPP(B,C)).
% 0.45/0.64    Following clause subsumed by 1909 during input processing: 0 [copy,1385,flip.1] {-} hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex),A),B)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex),A),B).
% 0.45/0.64    Following clause subsumed by 1909 during input processing: 0 [copy,1397,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)).
% 0.45/0.64    Following clause subsumed by 1425 during input processing: 0 [copy,1425,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).
% 0.45/0.64  1465 back subsumes 1464.
% 0.45/0.64    Following clause subsumed by 1516 during input processing: 0 [copy,1516,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).
% 0.45/0.64    Following clause subsumed by 1519 during input processing: 0 [copy,1519,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).
% 0.45/0.64    Following clause subsumed by 1545 during input processing: 0 [copy,1545,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)).
% 0.45/0.64    Following clause subsumed by 1546 during input processing: 0 [copy,1546,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).
% 0.45/0.64    Following clause subsumed by 1909 during input processing: 0 [copy,1592,flip.1] {-} c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,A,B)=c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,A,B).
% 0.45/0.64    Following clause subsumed by 1909 during input processing: 0 [copy,1636,flip.1] {-} c_Groups_Ominus__class_Ominus(tc_Int_Oint,A,B)=c_Groups_Ominus__class_Ominus(tc_Int_Oint,A,B).
% 0.45/0.64    Following clause subsumed by 1650 during input processing: 0 [copy,1650,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).
% 0.45/0.64    Following clause subsumed by 1909 during input processing: 0 [copy,1664,flip.1] {-} c_Complex_Oii=c_Complex_Oii.
% 0.45/0.64    Following clause subsumed by 1909 during input processing: 0 [copy,1697,flip.1] {-} c_Groups_Oone__class_Oone(tc_Nat_Onat)=c_Groups_Oone__class_Oone(tc_Nat_Onat).
% 0.45/0.64    Following clause subsumed by 1909 during input processing: 0 [copy,1909,flip.1] {-} A=A.
% 0.45/0.64  1909 back subsumes 1697.
% 0.45/0.64  1909 back subsumes 1664.
% 0.45/0.64  1909 back subsumes 1636.
% 0.45/0.64  1909 back subsumes 1592.
% 0.45/0.64  1909 back subsumes 1397.
% 0.45/0.64  1909 back subsumes 1385.
% 0.45/0.64  1909 back subsumes 1382.
% 0.45/0.64  1909 back subsumes 1380.
% 0.45/0.64  1909 back subsumes 1244.
% 0.45/0.64  1909 back subsumes 1243.
% 0.45/0.64  1909 back subsumes 1241.
% 0.45/0.64  1909 back subsumes 1232.
% 0.45/0.64  1909 back subsumes 1226.
% 0.45/0.64  1909 back subsumes 1123.
% 0.45/0.64  1909 back subsumes 1121.
% 0.45/0.64  1909 back subsumes 1112.
% 0.45/0.64  1909 back subsumes 1111.
% 0.45/0.64  1909 back subsumes 1102.
% 0.45/0.64    Following clause subsumed by 2066 during input processing: 0 [copy,2066,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)).
% 0.45/0.64    Following clause subsumed by 1377 during input processing: 0 [copy,2072,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)).
% 0.45/0.64    Following clause subsumed by 2168 during input processing: 0 [copy,2073,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)).
% 0.45/0.64    Following clause subsumed by 1383 during input processing: 0 [copy,2074,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).
% 0.45/0.64    Following clause subsumed by 1386 during input processing: 0 [copy,2075,flip.1] {-} c_Complex_Ocomplex_Ocomplex__size(c_Complex_Ocomplex_OComplex(A,B))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.45/0.64    Following clause subsumed by 1387 during input processing: 0 [copy,2076,flip.1] {-} c_Nat_Osize__class_Osize(tc_Complex_Ocomplex,c_Complex_Ocomplex_OComplex(A,B))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.45/0.64    Following clause subsumed by 1388 during input processing: 0 [copy,2077,flip.1] {-} c_Complex_Ocomplex_Ocomplex__case(A,B,c_Complex_Ocomplex_OComplex(C,D))=hAPP(hAPP(B,C),D).
% 0.45/0.64    Following clause subsumed by 1389 during input processing: 0 [copy,2078,flip.1] {-} c_Complex_Ocomplex_Ocomplex__rec(A,B,c_Complex_Ocomplex_OComplex(C,D))=hAPP(hAPP(B,C),D).
% 0.45/0.64    Following clause subsumed by 1435 during input processing: 0 [copy,2081,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)).
% 0.45/0.64    Following clause subsumed by 1455 during input processing: 0 [copy,2086,flip.1] {-} hAPP(c_Complex_Ocnj,c_Complex_Ocomplex_OComplex(A,B))=c_Complex_Ocomplex_OComplex(A,hAPP(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal),B)).
% 0.45/0.64    Following clause subsumed by 1477 during input processing: 0 [copy,2087,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)).
% 0.45/0.64    Following clause subsumed by 1494 during input processing: 0 [copy,2088,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)).
% 0.45/0.64    Following clause subsumed by 1512 during input processing: 0 [copy,2089,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)).
% 0.45/0.64    Following clause subsumed by 1526 during input processing: 0 [copy,2090,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).
% 0.45/0.64    Following clause subsumed by 2095 during input processing: 0 [copy,2094,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).
% 0.45/0.64    Following clause subsumed by 2094 during input processing: 0 [copy,2095,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)).
% 0.45/0.64    Following clause subsumed by 1574 during input processing: 0 [copy,2098,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)).
% 0.45/0.64    Following clause subsumed by 1580 during input processing: 0 [copy,2099,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)).
% 0.45/0.64    Following clause subsumed by 1596 during input processing: 0 [copy,2101,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))).
% 0.45/0.64    Following clause subsumed by 1608 during input processing: 0 [copy,2116,flip.1] {-} c_Groups_Ominus__class_Ominus(tc_Nat_Onat,A,A)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.45/0.64    Following clause subsumed by 1627 during input processing: 0 [copy,2117,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)).
% 0.45/0.64    Following clause subsumed by 1637 during input processing: 0 [copy,2120,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).
% 0.45/0.64    Following clause subsumed by 2073 during input processing: 0 [copy,2168,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))).
% 0.45/0.64    Following clause subsumed by 1665 during input processing: 0 [copy,2171,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).
% 0.45/0.64    Following clause subsumed by 1666 during input processing: 0 [copy,2172,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).
% 0.45/0.64    Following clause subsumed by 1692 during input processing: 0 [copy,2222,flip.1] {-} hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),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)).
% 0.45/0.64    Following clause subsumed by 1907 during input processing: 0 [copy,2223,flip.1] {-} hAPP(c_COMBC(A,B,C,D,E),F)=hAPP(hAPP(D,F),E).
% 0.45/0.64    Following clause subsumed by 1908 during input processing: 0 [copy,2224,flip.1] {-} hAPP(c_COMBS(A,B,C,D,E),F)=hAPP(hAPP(D,F),hAPP(E,F)).
% 0.45/0.64    Following clause subsumed by 2200 during input processing: 0 [copy,2252,flip.1] {-} hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),A)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.45/0.64  
% 0.45/0.64  ======= end of input processing =======
% 0.45/0.65  
% 0.45/0.65  SEGMENTATION FAULT!!  This is probably caused by a
% 0.45/0.65  bug in Otter.  Please send copy of the input file to
% 0.45/0.65  otter@mcs.anl.gov, let us know what version of Otter you are
% 0.45/0.65  using, and send any other info that might be useful.
% 0.45/0.65  
% 0.45/0.65  
% 0.45/0.65  SEGMENTATION FAULT!!  This is probably caused by a
% 0.45/0.65  bug in Otter.  Please send copy of the input file to
% 0.45/0.65  otter@mcs.anl.gov, let us know what version of Otter you are
% 0.45/0.65  using, and send any other info that might be useful.
% 0.45/0.65  
% 0.45/0.65  
% 0.45/0.65  The job finished Sat Jun  4 22:35:18 2022
%------------------------------------------------------------------------------