TSTP Solution File: SWW216+1 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : SWW216+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 01:26:22 EDT 2022

% Result   : Unknown 0.46s 0.64s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SWW216+1 : TPTP v8.1.0. Released v5.2.0.
% 0.11/0.12  % Command  : sos-script %s
% 0.12/0.33  % Computer : n021.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Mon Jun  6 08:23:50 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.52  ----- Otter 3.2, August 2001 -----
% 0.19/0.52  The process was started by sandbox2 on n021.cluster.edu,
% 0.19/0.52  Mon Jun  6 08:23:50 2022
% 0.19/0.52  The command was "./sos".  The process ID is 4767.
% 0.19/0.52  
% 0.19/0.52  set(prolog_style_variables).
% 0.19/0.52  set(auto).
% 0.19/0.52     dependent: set(auto1).
% 0.19/0.52     dependent: set(process_input).
% 0.19/0.52     dependent: clear(print_kept).
% 0.19/0.52     dependent: clear(print_new_demod).
% 0.19/0.52     dependent: clear(print_back_demod).
% 0.19/0.52     dependent: clear(print_back_sub).
% 0.19/0.52     dependent: set(control_memory).
% 0.19/0.52     dependent: assign(max_mem, 12000).
% 0.19/0.52     dependent: assign(pick_given_ratio, 4).
% 0.19/0.52     dependent: assign(stats_level, 1).
% 0.19/0.52     dependent: assign(pick_semantic_ratio, 3).
% 0.19/0.52     dependent: assign(sos_limit, 5000).
% 0.19/0.52     dependent: assign(max_weight, 60).
% 0.19/0.52  clear(print_given).
% 0.19/0.52  
% 0.19/0.52  formula_list(usable).
% 0.19/0.52  
% 0.19/0.52  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=7.
% 0.19/0.52  
% 0.19/0.52  This ia a non-Horn set with equality.  The strategy will be
% 0.19/0.52  Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.19/0.52  unit deletion, with positive clauses in sos and nonpositive
% 0.19/0.52  clauses in usable.
% 0.19/0.52  
% 0.19/0.52     dependent: set(knuth_bendix).
% 0.19/0.52     dependent: set(para_from).
% 0.19/0.52     dependent: set(para_into).
% 0.19/0.52     dependent: clear(para_from_right).
% 0.19/0.52     dependent: clear(para_into_right).
% 0.19/0.52     dependent: set(para_from_vars).
% 0.19/0.52     dependent: set(eq_units_both_ways).
% 0.19/0.52     dependent: set(dynamic_demod_all).
% 0.19/0.52     dependent: set(dynamic_demod).
% 0.19/0.52     dependent: set(order_eq).
% 0.19/0.52     dependent: set(back_demod).
% 0.19/0.52     dependent: set(lrpo).
% 0.19/0.52     dependent: set(hyper_res).
% 0.19/0.52     dependent: set(unit_deletion).
% 0.19/0.52     dependent: set(factor).
% 0.19/0.52  
% 0.19/0.52  ------------> process usable:
% 0.19/0.52    Following clause subsumed by 2 during input processing: 0 [] {-} -class_Lattices_Oab__semigroup__idem__mult(A)|hAPP(c_Groups_Otimes__class_Otimes(A,B),B)=B.
% 0.19/0.52    Following clause subsumed by 5 during input processing: 0 [] {-} -class_Rings_Ocomm__semiring__1(A)|hAPP(c_Groups_Otimes__class_Otimes(A,hAPP(c_Groups_Otimes__class_Otimes(A,B),C)),hAPP(c_Groups_Otimes__class_Otimes(A,D),E))=hAPP(c_Groups_Otimes__class_Otimes(A,D),hAPP(c_Groups_Otimes__class_Otimes(A,hAPP(c_Groups_Otimes__class_Otimes(A,B),C)),E)).
% 0.19/0.52    Following clause subsumed by 22 during input processing: 0 [flip.2] {-} -class_Rings_Ocomm__semiring__1(A)|hAPP(c_Groups_Otimes__class_Otimes(A,hAPP(c_Groups_Otimes__class_Otimes(A,B),C)),D)=hAPP(c_Groups_Otimes__class_Otimes(A,B),hAPP(c_Groups_Otimes__class_Otimes(A,C),D)).
% 0.19/0.52    Following clause subsumed by 30 during input processing: 0 [] {-} -class_Fields_Olinordered__field(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),B)|c_Orderings_Oord__class_Oless(A,c_Rings_Oinverse__class_Odivide(A,C,B),D)| -c_Orderings_Oord__class_Oless(A,C,hAPP(c_Groups_Otimes__class_Otimes(A,D),B)).
% 0.19/0.52    Following clause subsumed by 29 during input processing: 0 [] {-} -class_Fields_Olinordered__field(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),B)|c_Orderings_Oord__class_Oless(A,C,c_Rings_Oinverse__class_Odivide(A,D,B))| -c_Orderings_Oord__class_Oless(A,hAPP(c_Groups_Otimes__class_Otimes(A,C),B),D).
% 0.19/0.52    Following clause subsumed by 93 during input processing: 0 [] {-} -class_Rings_Odivision__ring(A)|B=c_Groups_Ozero__class_Ozero(A)|c_Rings_Oinverse__class_Odivide(A,C,B)=D|C!=hAPP(c_Groups_Otimes__class_Otimes(A,D),B).
% 0.19/0.52    Following clause subsumed by 92 during input processing: 0 [] {-} -class_Rings_Odivision__ring(A)|B=c_Groups_Ozero__class_Ozero(A)|C=c_Rings_Oinverse__class_Odivide(A,D,B)|hAPP(c_Groups_Otimes__class_Otimes(A,C),B)!=D.
% 0.19/0.52    Following clause subsumed by 100 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(c_Groups_Otimes__class_Otimes(A,B),C)!=c_Groups_Ozero__class_Ozero(A).
% 0.19/0.52    Following clause subsumed by 107 during input processing: 0 [] {-} -class_Rings_Ozero__neq__one(A)|c_Groups_Ozero__class_Ozero(A)!=c_Groups_Oone__class_Oone(A).
% 0.19/0.53    Following clause subsumed by 112 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(c_Groups_Otimes__class_Otimes(A,B),C),hAPP(c_Groups_Otimes__class_Otimes(A,B),D))| -c_Orderings_Oord__class_Oless(A,D,C).
% 0.19/0.53    Following clause subsumed by 118 during input processing: 0 [] {-} -class_Rings_Olinordered__semiring__strict(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),B)| -c_Orderings_Oord__class_Oless(A,C,c_Groups_Ozero__class_Ozero(A))|c_Orderings_Oord__class_Oless(A,hAPP(c_Groups_Otimes__class_Otimes(A,C),B),c_Groups_Ozero__class_Ozero(A)).
% 0.19/0.53    Following clause subsumed by 125 during input processing: 0 [] {-} -class_Rings_Olinordered__ring__strict(A)|c_Orderings_Oord__class_Oless(A,hAPP(c_Groups_Otimes__class_Otimes(A,B),C),hAPP(c_Groups_Otimes__class_Otimes(A,B),D))| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),B)| -c_Orderings_Oord__class_Oless(A,C,D).
% 0.19/0.53    Following clause subsumed by 112 during input processing: 0 [] {-} -class_Rings_Olinordered__ring__strict(A)|c_Orderings_Oord__class_Oless(A,hAPP(c_Groups_Otimes__class_Otimes(A,B),C),hAPP(c_Groups_Otimes__class_Otimes(A,B),D))| -c_Orderings_Oord__class_Oless(A,B,c_Groups_Ozero__class_Ozero(A))| -c_Orderings_Oord__class_Oless(A,D,C).
% 0.19/0.53    Following clause subsumed by 113 during input processing: 0 [] {-} -class_Rings_Olinordered__ring__strict(A)|c_Orderings_Oord__class_Oless(A,hAPP(c_Groups_Otimes__class_Otimes(A,B),C),hAPP(c_Groups_Otimes__class_Otimes(A,D),C))| -c_Orderings_Oord__class_Oless(A,C,c_Groups_Ozero__class_Ozero(A))| -c_Orderings_Oord__class_Oless(A,D,B).
% 0.19/0.53    Following clause subsumed by 141 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|hAPP(c_Groups_Otimes__class_Otimes(A,B),c_Groups_Ozero__class_Ozero(A))=c_Groups_Ozero__class_Ozero(A).
% 0.19/0.53    Following clause subsumed by 142 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|hAPP(c_Groups_Otimes__class_Otimes(A,c_Groups_Ozero__class_Ozero(A)),B)=c_Groups_Ozero__class_Ozero(A).
% 0.19/0.53    Following clause subsumed by 147 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.
% 0.19/0.53    Following clause subsumed by 145 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).
% 0.19/0.53    Following clause subsumed by 152 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(c_Groups_Otimes__class_Otimes(A,B),C)).
% 0.19/0.53    Following clause subsumed by 150 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(c_Groups_Otimes__class_Otimes(A,B),C),c_Groups_Ozero__class_Ozero(A)).
% 0.19/0.53    Following clause subsumed by 150 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(c_Groups_Otimes__class_Otimes(A,C),B),c_Groups_Ozero__class_Ozero(A)).
% 0.19/0.53    Following clause subsumed by 149 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(c_Groups_Otimes__class_Otimes(A,B),C),c_Groups_Ozero__class_Ozero(A)).
% 0.19/0.53    Following clause subsumed by 251 during input processing: 0 [] {-} -class_Fields_Olinordered__field(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),B)| -c_Orderings_Oord__class_Oless__eq(A,C,hAPP(c_Groups_Otimes__class_Otimes(A,D),B))|c_Orderings_Oord__class_Oless__eq(A,c_Rings_Oinverse__class_Odivide(A,C,B),D).
% 0.19/0.53    Following clause subsumed by 249 during input processing: 0 [] {-} -class_Fields_Olinordered__field(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),B)| -c_Orderings_Oord__class_Oless__eq(A,hAPP(c_Groups_Otimes__class_Otimes(A,C),B),D)|c_Orderings_Oord__class_Oless__eq(A,C,c_Rings_Oinverse__class_Odivide(A,D,B)).
% 0.19/0.53    Following clause subsumed by 259 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_Orderings_Oord__class_Oless__eq(A,B,C)|c_Orderings_Oord__class_Oless(A,C,B).
% 0.19/0.53    Following clause subsumed by 260 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -c_Orderings_Oord__class_Oless__eq(A,B,C)| -c_Orderings_Oord__class_Oless(A,C,B).
% 0.19/0.53    Following clause subsumed by 259 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_Orderings_Oord__class_Oless__eq(A,B,C)|c_Orderings_Oord__class_Oless(A,C,B).
% 0.19/0.53    Following clause subsumed by 263 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -c_Orderings_Oord__class_Oless__eq(A,B,C)|c_Orderings_Oord__class_Oless(A,B,C)|B=C.
% 0.19/0.53    Following clause subsumed by 261 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|c_Orderings_Oord__class_Oless__eq(A,B,C)| -c_Orderings_Oord__class_Oless(A,B,C).
% 0.19/0.53    Following clause subsumed by 259 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_Orderings_Oord__class_Oless(A,B,C)|c_Orderings_Oord__class_Oless__eq(A,C,B).
% 0.19/0.53    Following clause subsumed by 259 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_Orderings_Oord__class_Oless__eq(A,B,C)|c_Orderings_Oord__class_Oless(A,C,B).
% 0.19/0.53    Following clause subsumed by 267 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B!=C|c_Orderings_Oord__class_Oless__eq(A,B,C).
% 0.19/0.53    Following clause subsumed by 268 during input processing: 0 [] {-} -class_Orderings_Oord(A)| -c_Orderings_Oord__class_Oless__eq(tc_fun(B,A),C,D)|c_Orderings_Oord__class_Oless__eq(A,hAPP(C,E),hAPP(D,E)).
% 0.19/0.53    Following clause subsumed by 272 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -c_Orderings_Oord__class_Oless__eq(A,B,C)| -c_Orderings_Oord__class_Oless__eq(A,C,B)|C=B.
% 0.19/0.53    Following clause subsumed by 267 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -c_Orderings_Oord__class_Oless__eq(A,B,C)|c_Orderings_Oord__class_Oless__eq(A,C,B)|C!=B.
% 0.19/0.53    Following clause subsumed by 272 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -c_Orderings_Oord__class_Oless__eq(A,B,C)| -c_Orderings_Oord__class_Oless__eq(A,C,B)|B=C.
% 0.19/0.53    Following clause subsumed by 272 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -c_Orderings_Oord__class_Oless__eq(A,B,C)| -c_Orderings_Oord__class_Oless__eq(A,C,B)|C=B.
% 0.19/0.53    Following clause subsumed by 268 during input processing: 0 [] {-} -class_Orderings_Oord(A)| -c_Orderings_Oord__class_Oless__eq(tc_fun(B,A),C,D)|c_Orderings_Oord__class_Oless__eq(A,hAPP(C,E),hAPP(D,E)).
% 0.19/0.53    Following clause subsumed by 270 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_Orderings_Oord__class_Oless__eq(A,B,C)|c_Orderings_Oord__class_Oless__eq(A,C,B).
% 0.19/0.53    Following clause subsumed by 281 during input processing: 0 [] {-} -class_Orderings_Opreorder(A)| -c_Orderings_Oord__class_Oless(A,B,C)| -c_Orderings_Oord__class_Oless(A,C,B).
% 0.19/0.53    Following clause subsumed by 262 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -c_Orderings_Oord__class_Oless(A,B,C)|B!=C.
% 0.19/0.53    Following clause subsumed by 281 during input processing: 0 [] {-} -class_Orderings_Opreorder(A)| -c_Orderings_Oord__class_Oless(A,B,C)| -c_Orderings_Oord__class_Oless(A,C,B).
% 0.19/0.53    Following clause subsumed by 281 during input processing: 0 [] {-} -class_Orderings_Opreorder(A)| -c_Orderings_Oord__class_Oless(A,B,C)| -c_Orderings_Oord__class_Oless(A,C,B).
% 0.19/0.53    Following clause subsumed by 262 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -c_Orderings_Oord__class_Oless(A,B,C)|B!=C.
% 0.19/0.53    Following clause subsumed by 280 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|B=C|c_Orderings_Oord__class_Oless(A,B,C)|c_Orderings_Oord__class_Oless(A,C,B).
% 0.19/0.53    Following clause subsumed by 280 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_Orderings_Oord__class_Oless(A,B,C)|c_Orderings_Oord__class_Oless(A,C,B)|C=B.
% 0.19/0.53    Following clause subsumed by 280 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_Orderings_Oord__class_Oless(A,B,C)|B=C|c_Orderings_Oord__class_Oless(A,C,B).
% 0.19/0.53    Following clause subsumed by 280 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_Orderings_Oord__class_Oless(A,B,C)|c_Orderings_Oord__class_Oless(A,C,B)|B=C.
% 0.19/0.53    Following clause subsumed by 280 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|B=C|c_Orderings_Oord__class_Oless(A,B,C)|c_Orderings_Oord__class_Oless(A,C,B).
% 0.19/0.53    Following clause subsumed by 292 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|B!=C| -c_Orderings_Oord__class_Oless(A,B,C).
% 0.19/0.53    Following clause subsumed by 263 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -c_Orderings_Oord__class_Oless__eq(A,B,C)|B=C|c_Orderings_Oord__class_Oless(A,B,C).
% 0.19/0.53    Following clause subsumed by 263 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -c_Orderings_Oord__class_Oless__eq(A,B,C)|c_Orderings_Oord__class_Oless(A,B,C)|B=C.
% 0.19/0.53    Following clause subsumed by 292 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -c_Orderings_Oord__class_Oless__eq(A,B,C)| -c_Orderings_Oord__class_Oless(A,B,C)|B!=C.
% 0.19/0.53    Following clause subsumed by 264 during input processing: 0 [] {-} -class_Orderings_Opreorder(A)| -c_Orderings_Oord__class_Oless(A,B,C)|c_Orderings_Oord__class_Oless__eq(A,B,C).
% 0.19/0.53    Following clause subsumed by 260 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -c_Orderings_Oord__class_Oless__eq(A,B,C)| -c_Orderings_Oord__class_Oless(A,C,B).
% 0.19/0.53    Following clause subsumed by 299 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C| -c_Orderings_Oord__class_Oless__eq(A,C,B)|c_Orderings_Oord__class_Oless(A,C,B).
% 0.19/0.53    Following clause subsumed by 263 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C| -c_Orderings_Oord__class_Oless__eq(A,B,C)|c_Orderings_Oord__class_Oless(A,B,C).
% 0.19/0.53    Following clause subsumed by 300 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_Orderings_Oord__class_Oless(A,B,C)| -c_Orderings_Oord__class_Oless__eq(A,B,C)|B=C.
% 0.19/0.53    Following clause subsumed by 315 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).
% 0.19/0.53    Following clause subsumed by 321 during input processing: 0 [] {-} -class_Rings_Odivision__ring__inverse__zero(A)|c_Rings_Oinverse__class_Oinverse(A,B)!=c_Rings_Oinverse__class_Oinverse(A,C)|B=C.
% 0.19/0.53    Following clause subsumed by 326 during input processing: 0 [] {-} -class_Rings_Ocomm__semiring__1(A)|c_Groups_Oplus__class_Oplus(A,c_Groups_Oplus__class_Oplus(A,B,C),D)=c_Groups_Oplus__class_Oplus(A,B,c_Groups_Oplus__class_Oplus(A,C,D)).
% 0.19/0.53    Following clause subsumed by 330 during input processing: 0 [] {-} -class_Groups_Ocancel__semigroup__add(A)|c_Groups_Oplus__class_Oplus(A,B,C)!=c_Groups_Oplus__class_Oplus(A,B,D)|C=D.
% 0.19/0.53    Following clause subsumed by 332 during input processing: 0 [] {-} -class_Groups_Ocancel__semigroup__add(A)|c_Groups_Oplus__class_Oplus(A,B,C)!=c_Groups_Oplus__class_Oplus(A,D,C)|B=D.
% 0.19/0.53    Following clause subsumed by 341 during input processing: 0 [] {-} -class_Rings_Odivision__ring(A)|B=c_Groups_Ozero__class_Ozero(A)|c_Rings_Oinverse__class_Oinverse(A,B)!=c_Groups_Ozero__class_Ozero(A).
% 0.19/0.53    Following clause subsumed by 364 during input processing: 0 [] {-} -class_Groups_Oordered__ab__semigroup__add__imp__le(A)| -c_Orderings_Oord__class_Oless__eq(A,c_Groups_Oplus__class_Oplus(A,B,C),c_Groups_Oplus__class_Oplus(A,B,D))|c_Orderings_Oord__class_Oless__eq(A,C,D).
% 0.19/0.53    Following clause subsumed by 365 during input processing: 0 [] {-} -class_Groups_Oordered__ab__semigroup__add__imp__le(A)| -c_Orderings_Oord__class_Oless__eq(A,c_Groups_Oplus__class_Oplus(A,B,C),c_Groups_Oplus__class_Oplus(A,D,C))|c_Orderings_Oord__class_Oless__eq(A,B,D).
% 0.19/0.53    Following clause subsumed by 371 during input processing: 0 [] {-} -class_Groups_Oordered__ab__semigroup__add__imp__le(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Oplus__class_Oplus(A,B,C),c_Groups_Oplus__class_Oplus(A,D,C))|c_Orderings_Oord__class_Oless(A,B,D).
% 0.19/0.53    Following clause subsumed by 373 during input processing: 0 [] {-} -class_Groups_Oordered__ab__semigroup__add__imp__le(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Oplus__class_Oplus(A,B,C),c_Groups_Oplus__class_Oplus(A,B,D))|c_Orderings_Oord__class_Oless(A,C,D).
% 0.19/0.53    Following clause subsumed by 378 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|hAPP(c_Groups_Otimes__class_Otimes(A,B),c_Groups_Oplus__class_Oplus(A,C,D))=c_Groups_Oplus__class_Oplus(A,hAPP(c_Groups_Otimes__class_Otimes(A,B),C),hAPP(c_Groups_Otimes__class_Otimes(A,B),D)).
% 0.19/0.53    Following clause subsumed by 379 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|hAPP(c_Groups_Otimes__class_Otimes(A,c_Groups_Oplus__class_Oplus(A,B,C)),D)=c_Groups_Oplus__class_Oplus(A,hAPP(c_Groups_Otimes__class_Otimes(A,B),D),hAPP(c_Groups_Otimes__class_Otimes(A,C),D)).
% 0.19/0.53    Following clause subsumed by 384 during input processing: 0 [flip.2] {-} -class_Rings_Ocomm__semiring__1(A)|hAPP(c_Groups_Otimes__class_Otimes(A,c_Groups_Oplus__class_Oplus(A,B,D)),C)=c_Groups_Oplus__class_Oplus(A,hAPP(c_Groups_Otimes__class_Otimes(A,B),C),hAPP(c_Groups_Otimes__class_Otimes(A,D),C)).
% 0.19/0.53    Following clause subsumed by 381 during input processing: 0 [] {-} -class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(A)|c_Groups_Oplus__class_Oplus(A,hAPP(c_Groups_Otimes__class_Otimes(A,B),C),hAPP(c_Groups_Otimes__class_Otimes(A,D),E))!=c_Groups_Oplus__class_Oplus(A,hAPP(c_Groups_Otimes__class_Otimes(A,B),E),hAPP(c_Groups_Otimes__class_Otimes(A,D),C))|B=D|C=E.
% 0.19/0.53    Following clause subsumed by 382 during input processing: 0 [] {-} -class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(A)|c_Groups_Oplus__class_Oplus(A,hAPP(c_Groups_Otimes__class_Otimes(A,B),C),hAPP(c_Groups_Otimes__class_Otimes(A,D),E))=c_Groups_Oplus__class_Oplus(A,hAPP(c_Groups_Otimes__class_Otimes(A,B),E),hAPP(c_Groups_Otimes__class_Otimes(A,D),C))|B!=D.
% 0.19/0.53    Following clause subsumed by 383 during input processing: 0 [] {-} -class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(A)|c_Groups_Oplus__class_Oplus(A,hAPP(c_Groups_Otimes__class_Otimes(A,B),C),hAPP(c_Groups_Otimes__class_Otimes(A,D),E))=c_Groups_Oplus__class_Oplus(A,hAPP(c_Groups_Otimes__class_Otimes(A,B),E),hAPP(c_Groups_Otimes__class_Otimes(A,D),C))|C!=E.
% 0.19/0.53    Following clause subsumed by 428 during input processing: 0 [] {-} -class_Groups_Oordered__comm__monoid__add(A)| -c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ozero__class_Ozero(A),B)| -c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ozero__class_Ozero(A),C)|c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ozero__class_Ozero(A),c_Groups_Oplus__class_Oplus(A,B,C)).
% 0.19/0.53    Following clause subsumed by 425 during input processing: 0 [] {-} -class_Rings_Odivision__ring(A)|B=c_Groups_Ozero__class_Ozero(A)|c_Rings_Oinverse__class_Oinverse(A,B)=c_Rings_Oinverse__class_Odivide(A,c_Groups_Oone__class_Oone(A),B).
% 0.19/0.53    Following clause subsumed by 476 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(A,c_Groups_Ozero__class_Ozero(A),C)|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),c_Groups_Oplus__class_Oplus(A,B,C)).
% 0.19/0.53    Following clause subsumed by 477 during input processing: 0 [] {-} -class_Groups_Oordered__comm__monoid__add(A)| -c_Orderings_Oord__class_Oless(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(A,c_Groups_Ozero__class_Ozero(A),c_Groups_Oplus__class_Oplus(A,B,C)).
% 0.19/0.53    Following clause subsumed by 522 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,hAPP(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)).
% 0.19/0.53    Following clause subsumed by 521 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),hAPP(c_Transcendental_Oln,A))|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),A).
% 0.19/0.53    Following clause subsumed by 528 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),hAPP(c_Transcendental_Oln,A))|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),A).
% 0.19/0.53    Following clause subsumed by 520 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),hAPP(c_Transcendental_Oln,A))| -c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),A).
% 0.19/0.53    Following clause subsumed by 238 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)| -c_Orderings_Oord__class_Oless__eq(A,c_Rings_Oinverse__class_Odivide(A,B,c_Int_Onumber__class_Onumber__of(A,C)),D)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(A,C))|c_Orderings_Oord__class_Oless__eq(A,B,hAPP(c_Groups_Otimes__class_Otimes(A,D),c_Int_Onumber__class_Onumber__of(A,C))).
% 0.19/0.53    Following clause subsumed by 239 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)| -c_Orderings_Oord__class_Oless__eq(A,c_Rings_Oinverse__class_Odivide(A,B,c_Int_Onumber__class_Onumber__of(A,C)),D)|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(A,C))| -c_Orderings_Oord__class_Oless(A,c_Int_Onumber__class_Onumber__of(A,C),c_Groups_Ozero__class_Ozero(A))|c_Orderings_Oord__class_Oless__eq(A,hAPP(c_Groups_Otimes__class_Otimes(A,D),c_Int_Onumber__class_Onumber__of(A,C)),B).
% 0.19/0.53    Following clause subsumed by 240 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)| -c_Orderings_Oord__class_Oless__eq(A,c_Rings_Oinverse__class_Odivide(A,B,c_Int_Onumber__class_Onumber__of(A,C)),D)|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(A,C))|c_Orderings_Oord__class_Oless(A,c_Int_Onumber__class_Onumber__of(A,C),c_Groups_Ozero__class_Ozero(A))|c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ozero__class_Ozero(A),D).
% 0.19/0.53    Following clause subsumed by 241 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|c_Orderings_Oord__class_Oless__eq(A,c_Rings_Oinverse__class_Odivide(A,B,c_Int_Onumber__class_Onumber__of(A,C)),D)|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(A,C))|c_Orderings_Oord__class_Oless(A,c_Int_Onumber__class_Onumber__of(A,C),c_Groups_Ozero__class_Ozero(A))| -c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ozero__class_Ozero(A),D).
% 0.19/0.53    Following clause subsumed by 242 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|c_Orderings_Oord__class_Oless__eq(A,c_Rings_Oinverse__class_Odivide(A,B,c_Int_Onumber__class_Onumber__of(A,C)),D)|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(A,C))| -c_Orderings_Oord__class_Oless__eq(A,hAPP(c_Groups_Otimes__class_Otimes(A,D),c_Int_Onumber__class_Onumber__of(A,C)),B)| -c_Orderings_Oord__class_Oless(A,c_Int_Onumber__class_Onumber__of(A,C),c_Groups_Ozero__class_Ozero(A)).
% 0.19/0.53    Following clause subsumed by 243 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|c_Orderings_Oord__class_Oless__eq(A,c_Rings_Oinverse__class_Odivide(A,B,c_Int_Onumber__class_Onumber__of(A,C)),D)|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(A,C))| -c_Orderings_Oord__class_Oless__eq(A,hAPP(c_Groups_Otimes__class_Otimes(A,D),c_Int_Onumber__class_Onumber__of(A,C)),B)| -c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ozero__class_Ozero(A),D).
% 0.19/0.53    Following clause subsumed by 244 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|c_Orderings_Oord__class_Oless__eq(A,c_Rings_Oinverse__class_Odivide(A,B,c_Int_Onumber__class_Onumber__of(A,C)),D)| -c_Orderings_Oord__class_Oless__eq(A,B,hAPP(c_Groups_Otimes__class_Otimes(A,D),c_Int_Onumber__class_Onumber__of(A,C)))| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(A,C)).
% 0.19/0.53    Following clause subsumed by 245 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|c_Orderings_Oord__class_Oless__eq(A,c_Rings_Oinverse__class_Odivide(A,B,c_Int_Onumber__class_Onumber__of(A,C)),D)| -c_Orderings_Oord__class_Oless__eq(A,B,hAPP(c_Groups_Otimes__class_Otimes(A,D),c_Int_Onumber__class_Onumber__of(A,C)))|c_Orderings_Oord__class_Oless(A,c_Int_Onumber__class_Onumber__of(A,C),c_Groups_Ozero__class_Ozero(A))| -c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ozero__class_Ozero(A),D).
% 0.19/0.53    Following clause subsumed by 246 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|c_Orderings_Oord__class_Oless__eq(A,c_Rings_Oinverse__class_Odivide(A,B,c_Int_Onumber__class_Onumber__of(A,C)),D)| -c_Orderings_Oord__class_Oless__eq(A,B,hAPP(c_Groups_Otimes__class_Otimes(A,D),c_Int_Onumber__class_Onumber__of(A,C)))| -c_Orderings_Oord__class_Oless__eq(A,hAPP(c_Groups_Otimes__class_Otimes(A,D),c_Int_Onumber__class_Onumber__of(A,C)),B)| -c_Orderings_Oord__class_Oless(A,c_Int_Onumber__class_Onumber__of(A,C),c_Groups_Ozero__class_Ozero(A)).
% 0.19/0.53    Following clause subsumed by 247 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|c_Orderings_Oord__class_Oless__eq(A,c_Rings_Oinverse__class_Odivide(A,B,c_Int_Onumber__class_Onumber__of(A,C)),D)| -c_Orderings_Oord__class_Oless__eq(A,B,hAPP(c_Groups_Otimes__class_Otimes(A,D),c_Int_Onumber__class_Onumber__of(A,C)))| -c_Orderings_Oord__class_Oless__eq(A,hAPP(c_Groups_Otimes__class_Otimes(A,D),c_Int_Onumber__class_Onumber__of(A,C)),B)| -c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ozero__class_Ozero(A),D).
% 0.19/0.53    Following clause subsumed by 238 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)| -c_Orderings_Oord__class_Oless__eq(A,c_Rings_Oinverse__class_Odivide(A,B,C),c_Int_Onumber__class_Onumber__of(A,D))| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),C)|c_Orderings_Oord__class_Oless__eq(A,B,hAPP(c_Groups_Otimes__class_Otimes(A,c_Int_Onumber__class_Onumber__of(A,D)),C)).
% 0.19/0.53    Following clause subsumed by 239 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)| -c_Orderings_Oord__class_Oless__eq(A,c_Rings_Oinverse__class_Odivide(A,B,C),c_Int_Onumber__class_Onumber__of(A,D))|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),C)| -c_Orderings_Oord__class_Oless(A,C,c_Groups_Ozero__class_Ozero(A))|c_Orderings_Oord__class_Oless__eq(A,hAPP(c_Groups_Otimes__class_Otimes(A,c_Int_Onumber__class_Onumber__of(A,D)),C),B).
% 0.19/0.53    Following clause subsumed by 240 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)| -c_Orderings_Oord__class_Oless__eq(A,c_Rings_Oinverse__class_Odivide(A,B,C),c_Int_Onumber__class_Onumber__of(A,D))|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),C)|c_Orderings_Oord__class_Oless(A,C,c_Groups_Ozero__class_Ozero(A))|c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(A,D)).
% 0.19/0.53    Following clause subsumed by 241 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|c_Orderings_Oord__class_Oless__eq(A,c_Rings_Oinverse__class_Odivide(A,B,C),c_Int_Onumber__class_Onumber__of(A,D))|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),C)|c_Orderings_Oord__class_Oless(A,C,c_Groups_Ozero__class_Ozero(A))| -c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(A,D)).
% 0.19/0.53    Following clause subsumed by 242 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|c_Orderings_Oord__class_Oless__eq(A,c_Rings_Oinverse__class_Odivide(A,B,C),c_Int_Onumber__class_Onumber__of(A,D))|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),C)| -c_Orderings_Oord__class_Oless__eq(A,hAPP(c_Groups_Otimes__class_Otimes(A,c_Int_Onumber__class_Onumber__of(A,D)),C),B)| -c_Orderings_Oord__class_Oless(A,C,c_Groups_Ozero__class_Ozero(A)).
% 0.19/0.53    Following clause subsumed by 243 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|c_Orderings_Oord__class_Oless__eq(A,c_Rings_Oinverse__class_Odivide(A,B,C),c_Int_Onumber__class_Onumber__of(A,D))|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),C)| -c_Orderings_Oord__class_Oless__eq(A,hAPP(c_Groups_Otimes__class_Otimes(A,c_Int_Onumber__class_Onumber__of(A,D)),C),B)| -c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(A,D)).
% 0.19/0.53    Following clause subsumed by 244 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|c_Orderings_Oord__class_Oless__eq(A,c_Rings_Oinverse__class_Odivide(A,B,C),c_Int_Onumber__class_Onumber__of(A,D))| -c_Orderings_Oord__class_Oless__eq(A,B,hAPP(c_Groups_Otimes__class_Otimes(A,c_Int_Onumber__class_Onumber__of(A,D)),C))| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),C).
% 0.19/0.53    Following clause subsumed by 245 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|c_Orderings_Oord__class_Oless__eq(A,c_Rings_Oinverse__class_Odivide(A,B,C),c_Int_Onumber__class_Onumber__of(A,D))| -c_Orderings_Oord__class_Oless__eq(A,B,hAPP(c_Groups_Otimes__class_Otimes(A,c_Int_Onumber__class_Onumber__of(A,D)),C))|c_Orderings_Oord__class_Oless(A,C,c_Groups_Ozero__class_Ozero(A))| -c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(A,D)).
% 0.19/0.53    Following clause subsumed by 246 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|c_Orderings_Oord__class_Oless__eq(A,c_Rings_Oinverse__class_Odivide(A,B,C),c_Int_Onumber__class_Onumber__of(A,D))| -c_Orderings_Oord__class_Oless__eq(A,B,hAPP(c_Groups_Otimes__class_Otimes(A,c_Int_Onumber__class_Onumber__of(A,D)),C))| -c_Orderings_Oord__class_Oless__eq(A,hAPP(c_Groups_Otimes__class_Otimes(A,c_Int_Onumber__class_Onumber__of(A,D)),C),B)| -c_Orderings_Oord__class_Oless(A,C,c_Groups_Ozero__class_Ozero(A)).
% 0.19/0.53    Following clause subsumed by 247 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|c_Orderings_Oord__class_Oless__eq(A,c_Rings_Oinverse__class_Odivide(A,B,C),c_Int_Onumber__class_Onumber__of(A,D))| -c_Orderings_Oord__class_Oless__eq(A,B,hAPP(c_Groups_Otimes__class_Otimes(A,c_Int_Onumber__class_Onumber__of(A,D)),C))| -c_Orderings_Oord__class_Oless__eq(A,hAPP(c_Groups_Otimes__class_Otimes(A,c_Int_Onumber__class_Onumber__of(A,D)),C),B)| -c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(A,D)).
% 0.19/0.53    Following clause subsumed by 228 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)| -c_Orderings_Oord__class_Oless__eq(A,c_Int_Onumber__class_Onumber__of(A,B),c_Rings_Oinverse__class_Odivide(A,C,D))| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),D)|c_Orderings_Oord__class_Oless__eq(A,hAPP(c_Groups_Otimes__class_Otimes(A,c_Int_Onumber__class_Onumber__of(A,B)),D),C).
% 0.19/0.53    Following clause subsumed by 229 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)| -c_Orderings_Oord__class_Oless__eq(A,c_Int_Onumber__class_Onumber__of(A,B),c_Rings_Oinverse__class_Odivide(A,C,D))|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),D)| -c_Orderings_Oord__class_Oless(A,D,c_Groups_Ozero__class_Ozero(A))|c_Orderings_Oord__class_Oless__eq(A,C,hAPP(c_Groups_Otimes__class_Otimes(A,c_Int_Onumber__class_Onumber__of(A,B)),D)).
% 0.19/0.53    Following clause subsumed by 230 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)| -c_Orderings_Oord__class_Oless__eq(A,c_Int_Onumber__class_Onumber__of(A,B),c_Rings_Oinverse__class_Odivide(A,C,D))|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),D)|c_Orderings_Oord__class_Oless(A,D,c_Groups_Ozero__class_Ozero(A))|c_Orderings_Oord__class_Oless__eq(A,c_Int_Onumber__class_Onumber__of(A,B),c_Groups_Ozero__class_Ozero(A)).
% 0.19/0.53    Following clause subsumed by 231 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|c_Orderings_Oord__class_Oless__eq(A,c_Int_Onumber__class_Onumber__of(A,B),c_Rings_Oinverse__class_Odivide(A,C,D))|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),D)|c_Orderings_Oord__class_Oless(A,D,c_Groups_Ozero__class_Ozero(A))| -c_Orderings_Oord__class_Oless__eq(A,c_Int_Onumber__class_Onumber__of(A,B),c_Groups_Ozero__class_Ozero(A)).
% 0.19/0.53    Following clause subsumed by 232 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|c_Orderings_Oord__class_Oless__eq(A,c_Int_Onumber__class_Onumber__of(A,B),c_Rings_Oinverse__class_Odivide(A,C,D))|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),D)| -c_Orderings_Oord__class_Oless__eq(A,C,hAPP(c_Groups_Otimes__class_Otimes(A,c_Int_Onumber__class_Onumber__of(A,B)),D))| -c_Orderings_Oord__class_Oless(A,D,c_Groups_Ozero__class_Ozero(A)).
% 0.19/0.53    Following clause subsumed by 233 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|c_Orderings_Oord__class_Oless__eq(A,c_Int_Onumber__class_Onumber__of(A,B),c_Rings_Oinverse__class_Odivide(A,C,D))|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),D)| -c_Orderings_Oord__class_Oless__eq(A,C,hAPP(c_Groups_Otimes__class_Otimes(A,c_Int_Onumber__class_Onumber__of(A,B)),D))| -c_Orderings_Oord__class_Oless__eq(A,c_Int_Onumber__class_Onumber__of(A,B),c_Groups_Ozero__class_Ozero(A)).
% 0.19/0.53    Following clause subsumed by 234 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|c_Orderings_Oord__class_Oless__eq(A,c_Int_Onumber__class_Onumber__of(A,B),c_Rings_Oinverse__class_Odivide(A,C,D))| -c_Orderings_Oord__class_Oless__eq(A,hAPP(c_Groups_Otimes__class_Otimes(A,c_Int_Onumber__class_Onumber__of(A,B)),D),C)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),D).
% 0.19/0.53    Following clause subsumed by 235 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|c_Orderings_Oord__class_Oless__eq(A,c_Int_Onumber__class_Onumber__of(A,B),c_Rings_Oinverse__class_Odivide(A,C,D))| -c_Orderings_Oord__class_Oless__eq(A,hAPP(c_Groups_Otimes__class_Otimes(A,c_Int_Onumber__class_Onumber__of(A,B)),D),C)|c_Orderings_Oord__class_Oless(A,D,c_Groups_Ozero__class_Ozero(A))| -c_Orderings_Oord__class_Oless__eq(A,c_Int_Onumber__class_Onumber__of(A,B),c_Groups_Ozero__class_Ozero(A)).
% 0.19/0.53    Following clause subsumed by 236 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|c_Orderings_Oord__class_Oless__eq(A,c_Int_Onumber__class_Onumber__of(A,B),c_Rings_Oinverse__class_Odivide(A,C,D))| -c_Orderings_Oord__class_Oless__eq(A,hAPP(c_Groups_Otimes__class_Otimes(A,c_Int_Onumber__class_Onumber__of(A,B)),D),C)| -c_Orderings_Oord__class_Oless__eq(A,C,hAPP(c_Groups_Otimes__class_Otimes(A,c_Int_Onumber__class_Onumber__of(A,B)),D))| -c_Orderings_Oord__class_Oless(A,D,c_Groups_Ozero__class_Ozero(A)).
% 0.19/0.53    Following clause subsumed by 237 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|c_Orderings_Oord__class_Oless__eq(A,c_Int_Onumber__class_Onumber__of(A,B),c_Rings_Oinverse__class_Odivide(A,C,D))| -c_Orderings_Oord__class_Oless__eq(A,hAPP(c_Groups_Otimes__class_Otimes(A,c_Int_Onumber__class_Onumber__of(A,B)),D),C)| -c_Orderings_Oord__class_Oless__eq(A,C,hAPP(c_Groups_Otimes__class_Otimes(A,c_Int_Onumber__class_Onumber__of(A,B)),D))| -c_Orderings_Oord__class_Oless__eq(A,c_Int_Onumber__class_Onumber__of(A,B),c_Groups_Ozero__class_Ozero(A)).
% 0.19/0.53    Following clause subsumed by 228 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)| -c_Orderings_Oord__class_Oless__eq(A,B,c_Rings_Oinverse__class_Odivide(A,C,c_Int_Onumber__class_Onumber__of(A,D)))| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(A,D))|c_Orderings_Oord__class_Oless__eq(A,hAPP(c_Groups_Otimes__class_Otimes(A,B),c_Int_Onumber__class_Onumber__of(A,D)),C).
% 0.19/0.53    Following clause subsumed by 229 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)| -c_Orderings_Oord__class_Oless__eq(A,B,c_Rings_Oinverse__class_Odivide(A,C,c_Int_Onumber__class_Onumber__of(A,D)))|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(A,D))| -c_Orderings_Oord__class_Oless(A,c_Int_Onumber__class_Onumber__of(A,D),c_Groups_Ozero__class_Ozero(A))|c_Orderings_Oord__class_Oless__eq(A,C,hAPP(c_Groups_Otimes__class_Otimes(A,B),c_Int_Onumber__class_Onumber__of(A,D))).
% 0.19/0.53    Following clause subsumed by 230 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)| -c_Orderings_Oord__class_Oless__eq(A,B,c_Rings_Oinverse__class_Odivide(A,C,c_Int_Onumber__class_Onumber__of(A,D)))|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(A,D))|c_Orderings_Oord__class_Oless(A,c_Int_Onumber__class_Onumber__of(A,D),c_Groups_Ozero__class_Ozero(A))|c_Orderings_Oord__class_Oless__eq(A,B,c_Groups_Ozero__class_Ozero(A)).
% 0.19/0.53    Following clause subsumed by 231 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|c_Orderings_Oord__class_Oless__eq(A,B,c_Rings_Oinverse__class_Odivide(A,C,c_Int_Onumber__class_Onumber__of(A,D)))|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(A,D))|c_Orderings_Oord__class_Oless(A,c_Int_Onumber__class_Onumber__of(A,D),c_Groups_Ozero__class_Ozero(A))| -c_Orderings_Oord__class_Oless__eq(A,B,c_Groups_Ozero__class_Ozero(A)).
% 0.19/0.53    Following clause subsumed by 232 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|c_Orderings_Oord__class_Oless__eq(A,B,c_Rings_Oinverse__class_Odivide(A,C,c_Int_Onumber__class_Onumber__of(A,D)))|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(A,D))| -c_Orderings_Oord__class_Oless__eq(A,C,hAPP(c_Groups_Otimes__class_Otimes(A,B),c_Int_Onumber__class_Onumber__of(A,D)))| -c_Orderings_Oord__class_Oless(A,c_Int_Onumber__class_Onumber__of(A,D),c_Groups_Ozero__class_Ozero(A)).
% 0.19/0.53    Following clause subsumed by 233 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|c_Orderings_Oord__class_Oless__eq(A,B,c_Rings_Oinverse__class_Odivide(A,C,c_Int_Onumber__class_Onumber__of(A,D)))|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(A,D))| -c_Orderings_Oord__class_Oless__eq(A,C,hAPP(c_Groups_Otimes__class_Otimes(A,B),c_Int_Onumber__class_Onumber__of(A,D)))| -c_Orderings_Oord__class_Oless__eq(A,B,c_Groups_Ozero__class_Ozero(A)).
% 0.19/0.53    Following clause subsumed by 234 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|c_Orderings_Oord__class_Oless__eq(A,B,c_Rings_Oinverse__class_Odivide(A,C,c_Int_Onumber__class_Onumber__of(A,D)))| -c_Orderings_Oord__class_Oless__eq(A,hAPP(c_Groups_Otimes__class_Otimes(A,B),c_Int_Onumber__class_Onumber__of(A,D)),C)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(A,D)).
% 0.19/0.53    Following clause subsumed by 235 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|c_Orderings_Oord__class_Oless__eq(A,B,c_Rings_Oinverse__class_Odivide(A,C,c_Int_Onumber__class_Onumber__of(A,D)))| -c_Orderings_Oord__class_Oless__eq(A,hAPP(c_Groups_Otimes__class_Otimes(A,B),c_Int_Onumber__class_Onumber__of(A,D)),C)|c_Orderings_Oord__class_Oless(A,c_Int_Onumber__class_Onumber__of(A,D),c_Groups_Ozero__class_Ozero(A))| -c_Orderings_Oord__class_Oless__eq(A,B,c_Groups_Ozero__class_Ozero(A)).
% 0.19/0.53    Following clause subsumed by 236 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|c_Orderings_Oord__class_Oless__eq(A,B,c_Rings_Oinverse__class_Odivide(A,C,c_Int_Onumber__class_Onumber__of(A,D)))| -c_Orderings_Oord__class_Oless__eq(A,hAPP(c_Groups_Otimes__class_Otimes(A,B),c_Int_Onumber__class_Onumber__of(A,D)),C)| -c_Orderings_Oord__class_Oless__eq(A,C,hAPP(c_Groups_Otimes__class_Otimes(A,B),c_Int_Onumber__class_Onumber__of(A,D)))| -c_Orderings_Oord__class_Oless(A,c_Int_Onumber__class_Onumber__of(A,D),c_Groups_Ozero__class_Ozero(A)).
% 0.19/0.53    Following clause subsumed by 237 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|c_Orderings_Oord__class_Oless__eq(A,B,c_Rings_Oinverse__class_Odivide(A,C,c_Int_Onumber__class_Onumber__of(A,D)))| -c_Orderings_Oord__class_Oless__eq(A,hAPP(c_Groups_Otimes__class_Otimes(A,B),c_Int_Onumber__class_Onumber__of(A,D)),C)| -c_Orderings_Oord__class_Oless__eq(A,C,hAPP(c_Groups_Otimes__class_Otimes(A,B),c_Int_Onumber__class_Onumber__of(A,D)))| -c_Orderings_Oord__class_Oless__eq(A,B,c_Groups_Ozero__class_Ozero(A)).
% 0.19/0.53    Following clause subsumed by 533 during input processing: 0 [] {-} -class_Int_Onumber__ring(A)|c_Int_Onumber__class_Onumber__of(A,c_Groups_Oplus__class_Oplus(tc_Int_Oint,B,C))=c_Groups_Oplus__class_Oplus(A,c_Int_Onumber__class_Onumber__of(A,B),c_Int_Onumber__class_Onumber__of(A,C)).
% 0.19/0.53    Following clause subsumed by 542 during input processing: 0 [flip.2] {-} -class_Int_Onumber__ring(A)|hAPP(c_Groups_Otimes__class_Otimes(A,c_Int_Onumber__class_Onumber__of(A,B)),c_Int_Onumber__class_Onumber__of(A,C))=c_Int_Onumber__class_Onumber__of(A,hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint,B),C)).
% 0.19/0.53    Following clause subsumed by 260 during input processing: 0 [] {-} -class_Int_Onumber(A)| -class_Orderings_Olinorder(A)| -c_Orderings_Oord__class_Oless__eq(A,c_Int_Onumber__class_Onumber__of(A,B),c_Int_Onumber__class_Onumber__of(A,C))| -c_Orderings_Oord__class_Oless(A,c_Int_Onumber__class_Onumber__of(A,C),c_Int_Onumber__class_Onumber__of(A,B)).
% 0.19/0.53    Following clause subsumed by 259 during input processing: 0 [] {-} -class_Int_Onumber(A)| -class_Orderings_Olinorder(A)|c_Orderings_Oord__class_Oless__eq(A,c_Int_Onumber__class_Onumber__of(A,B),c_Int_Onumber__class_Onumber__of(A,C))|c_Orderings_Oord__class_Oless(A,c_Int_Onumber__class_Onumber__of(A,C),c_Int_Onumber__class_Onumber__of(A,B)).
% 0.19/0.53    Following clause subsumed by 81 during input processing: 0 [] {-} -class_Fields_Ofield__inverse__zero(A)| -class_Int_Onumber(A)|B!=c_Rings_Oinverse__class_Odivide(A,C,c_Int_Onumber__class_Onumber__of(A,D))|c_Int_Onumber__class_Onumber__of(A,D)=c_Groups_Ozero__class_Ozero(A)|hAPP(c_Groups_Otimes__class_Otimes(A,B),c_Int_Onumber__class_Onumber__of(A,D))=C.
% 0.19/0.53    Following clause subsumed by 82 during input processing: 0 [] {-} -class_Fields_Ofield__inverse__zero(A)| -class_Int_Onumber(A)|B!=c_Rings_Oinverse__class_Odivide(A,C,c_Int_Onumber__class_Onumber__of(A,D))|c_Int_Onumber__class_Onumber__of(A,D)!=c_Groups_Ozero__class_Ozero(A)|B=c_Groups_Ozero__class_Ozero(A).
% 0.19/0.53    Following clause subsumed by 83 during input processing: 0 [] {-} -class_Fields_Ofield__inverse__zero(A)| -class_Int_Onumber(A)|B=c_Rings_Oinverse__class_Odivide(A,C,c_Int_Onumber__class_Onumber__of(A,D))|c_Int_Onumber__class_Onumber__of(A,D)!=c_Groups_Ozero__class_Ozero(A)|B!=c_Groups_Ozero__class_Ozero(A).
% 0.19/0.53    Following clause subsumed by 84 during input processing: 0 [] {-} -class_Fields_Ofield__inverse__zero(A)| -class_Int_Onumber(A)|B=c_Rings_Oinverse__class_Odivide(A,C,c_Int_Onumber__class_Onumber__of(A,D))|hAPP(c_Groups_Otimes__class_Otimes(A,B),c_Int_Onumber__class_Onumber__of(A,D))!=C|c_Int_Onumber__class_Onumber__of(A,D)=c_Groups_Ozero__class_Ozero(A).
% 0.19/0.53    Following clause subsumed by 85 during input processing: 0 [] {-} -class_Fields_Ofield__inverse__zero(A)| -class_Int_Onumber(A)|B=c_Rings_Oinverse__class_Odivide(A,C,c_Int_Onumber__class_Onumber__of(A,D))|hAPP(c_Groups_Otimes__class_Otimes(A,B),c_Int_Onumber__class_Onumber__of(A,D))!=C|B!=c_Groups_Ozero__class_Ozero(A).
% 0.19/0.53    Following clause subsumed by 81 during input processing: 0 [] {-} -class_Fields_Ofield__inverse__zero(A)| -class_Int_Onumber(A)|c_Int_Onumber__class_Onumber__of(A,B)!=c_Rings_Oinverse__class_Odivide(A,C,D)|D=c_Groups_Ozero__class_Ozero(A)|hAPP(c_Groups_Otimes__class_Otimes(A,c_Int_Onumber__class_Onumber__of(A,B)),D)=C.
% 0.19/0.53    Following clause subsumed by 82 during input processing: 0 [] {-} -class_Fields_Ofield__inverse__zero(A)| -class_Int_Onumber(A)|c_Int_Onumber__class_Onumber__of(A,B)!=c_Rings_Oinverse__class_Odivide(A,C,D)|D!=c_Groups_Ozero__class_Ozero(A)|c_Int_Onumber__class_Onumber__of(A,B)=c_Groups_Ozero__class_Ozero(A).
% 0.19/0.53    Following clause subsumed by 83 during input processing: 0 [] {-} -class_Fields_Ofield__inverse__zero(A)| -class_Int_Onumber(A)|c_Int_Onumber__class_Onumber__of(A,B)=c_Rings_Oinverse__class_Odivide(A,C,D)|D!=c_Groups_Ozero__class_Ozero(A)|c_Int_Onumber__class_Onumber__of(A,B)!=c_Groups_Ozero__class_Ozero(A).
% 0.19/0.54    Following clause subsumed by 84 during input processing: 0 [] {-} -class_Fields_Ofield__inverse__zero(A)| -class_Int_Onumber(A)|c_Int_Onumber__class_Onumber__of(A,B)=c_Rings_Oinverse__class_Odivide(A,C,D)|hAPP(c_Groups_Otimes__class_Otimes(A,c_Int_Onumber__class_Onumber__of(A,B)),D)!=C|D=c_Groups_Ozero__class_Ozero(A).
% 0.19/0.54    Following clause subsumed by 85 during input processing: 0 [] {-} -class_Fields_Ofield__inverse__zero(A)| -class_Int_Onumber(A)|c_Int_Onumber__class_Onumber__of(A,B)=c_Rings_Oinverse__class_Odivide(A,C,D)|hAPP(c_Groups_Otimes__class_Otimes(A,c_Int_Onumber__class_Onumber__of(A,B)),D)!=C|c_Int_Onumber__class_Onumber__of(A,B)!=c_Groups_Ozero__class_Ozero(A).
% 0.19/0.54    Following clause subsumed by 76 during input processing: 0 [] {-} -class_Fields_Ofield__inverse__zero(A)| -class_Int_Onumber(A)|c_Rings_Oinverse__class_Odivide(A,B,C)!=c_Int_Onumber__class_Onumber__of(A,D)|C=c_Groups_Ozero__class_Ozero(A)|B=hAPP(c_Groups_Otimes__class_Otimes(A,c_Int_Onumber__class_Onumber__of(A,D)),C).
% 0.19/0.54    Following clause subsumed by 77 during input processing: 0 [] {-} -class_Fields_Ofield__inverse__zero(A)| -class_Int_Onumber(A)|c_Rings_Oinverse__class_Odivide(A,B,C)!=c_Int_Onumber__class_Onumber__of(A,D)|C!=c_Groups_Ozero__class_Ozero(A)|c_Int_Onumber__class_Onumber__of(A,D)=c_Groups_Ozero__class_Ozero(A).
% 0.19/0.54    Following clause subsumed by 78 during input processing: 0 [] {-} -class_Fields_Ofield__inverse__zero(A)| -class_Int_Onumber(A)|c_Rings_Oinverse__class_Odivide(A,B,C)=c_Int_Onumber__class_Onumber__of(A,D)|C!=c_Groups_Ozero__class_Ozero(A)|c_Int_Onumber__class_Onumber__of(A,D)!=c_Groups_Ozero__class_Ozero(A).
% 0.19/0.54    Following clause subsumed by 79 during input processing: 0 [] {-} -class_Fields_Ofield__inverse__zero(A)| -class_Int_Onumber(A)|c_Rings_Oinverse__class_Odivide(A,B,C)=c_Int_Onumber__class_Onumber__of(A,D)|B!=hAPP(c_Groups_Otimes__class_Otimes(A,c_Int_Onumber__class_Onumber__of(A,D)),C)|C=c_Groups_Ozero__class_Ozero(A).
% 0.19/0.54    Following clause subsumed by 80 during input processing: 0 [] {-} -class_Fields_Ofield__inverse__zero(A)| -class_Int_Onumber(A)|c_Rings_Oinverse__class_Odivide(A,B,C)=c_Int_Onumber__class_Onumber__of(A,D)|B!=hAPP(c_Groups_Otimes__class_Otimes(A,c_Int_Onumber__class_Onumber__of(A,D)),C)|c_Int_Onumber__class_Onumber__of(A,D)!=c_Groups_Ozero__class_Ozero(A).
% 0.19/0.54    Following clause subsumed by 76 during input processing: 0 [] {-} -class_Fields_Ofield__inverse__zero(A)| -class_Int_Onumber(A)|c_Rings_Oinverse__class_Odivide(A,B,c_Int_Onumber__class_Onumber__of(A,C))!=D|c_Int_Onumber__class_Onumber__of(A,C)=c_Groups_Ozero__class_Ozero(A)|B=hAPP(c_Groups_Otimes__class_Otimes(A,D),c_Int_Onumber__class_Onumber__of(A,C)).
% 0.19/0.54    Following clause subsumed by 77 during input processing: 0 [] {-} -class_Fields_Ofield__inverse__zero(A)| -class_Int_Onumber(A)|c_Rings_Oinverse__class_Odivide(A,B,c_Int_Onumber__class_Onumber__of(A,C))!=D|c_Int_Onumber__class_Onumber__of(A,C)!=c_Groups_Ozero__class_Ozero(A)|D=c_Groups_Ozero__class_Ozero(A).
% 0.19/0.54    Following clause subsumed by 78 during input processing: 0 [] {-} -class_Fields_Ofield__inverse__zero(A)| -class_Int_Onumber(A)|c_Rings_Oinverse__class_Odivide(A,B,c_Int_Onumber__class_Onumber__of(A,C))=D|c_Int_Onumber__class_Onumber__of(A,C)!=c_Groups_Ozero__class_Ozero(A)|D!=c_Groups_Ozero__class_Ozero(A).
% 0.19/0.54    Following clause subsumed by 79 during input processing: 0 [] {-} -class_Fields_Ofield__inverse__zero(A)| -class_Int_Onumber(A)|c_Rings_Oinverse__class_Odivide(A,B,c_Int_Onumber__class_Onumber__of(A,C))=D|B!=hAPP(c_Groups_Otimes__class_Otimes(A,D),c_Int_Onumber__class_Onumber__of(A,C))|c_Int_Onumber__class_Onumber__of(A,C)=c_Groups_Ozero__class_Ozero(A).
% 0.19/0.54    Following clause subsumed by 80 during input processing: 0 [] {-} -class_Fields_Ofield__inverse__zero(A)| -class_Int_Onumber(A)|c_Rings_Oinverse__class_Odivide(A,B,c_Int_Onumber__class_Onumber__of(A,C))=D|B!=hAPP(c_Groups_Otimes__class_Otimes(A,D),c_Int_Onumber__class_Onumber__of(A,C))|D!=c_Groups_Ozero__class_Ozero(A).
% 0.19/0.54    Following clause subsumed by 425 during input processing: 0 [] {-} -class_Int_Onumber(A)| -class_Rings_Odivision__ring(A)|c_Rings_Oinverse__class_Oinverse(A,c_Int_Onumber__class_Onumber__of(A,B))=c_Rings_Oinverse__class_Odivide(A,c_Groups_Oone__class_Oone(A),c_Int_Onumber__class_Onumber__of(A,B)).
% 0.19/0.54    Following clause subsumed by 33 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)| -c_Orderings_Oord__class_Oless(A,c_Rings_Oinverse__class_Odivide(A,B,c_Int_Onumber__class_Onumber__of(A,C)),D)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(A,C))|c_Orderings_Oord__class_Oless(A,B,hAPP(c_Groups_Otimes__class_Otimes(A,D),c_Int_Onumber__class_Onumber__of(A,C))).
% 0.19/0.54    Following clause subsumed by 34 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)| -c_Orderings_Oord__class_Oless(A,c_Rings_Oinverse__class_Odivide(A,B,c_Int_Onumber__class_Onumber__of(A,C)),D)|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(A,C))| -c_Orderings_Oord__class_Oless(A,c_Int_Onumber__class_Onumber__of(A,C),c_Groups_Ozero__class_Ozero(A))|c_Orderings_Oord__class_Oless(A,hAPP(c_Groups_Otimes__class_Otimes(A,D),c_Int_Onumber__class_Onumber__of(A,C)),B).
% 0.19/0.54    Following clause subsumed by 35 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)| -c_Orderings_Oord__class_Oless(A,c_Rings_Oinverse__class_Odivide(A,B,c_Int_Onumber__class_Onumber__of(A,C)),D)|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(A,C))|c_Orderings_Oord__class_Oless(A,c_Int_Onumber__class_Onumber__of(A,C),c_Groups_Ozero__class_Ozero(A))|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),D).
% 0.19/0.54    Following clause subsumed by 36 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|c_Orderings_Oord__class_Oless(A,c_Rings_Oinverse__class_Odivide(A,B,c_Int_Onumber__class_Onumber__of(A,C)),D)|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(A,C))|c_Orderings_Oord__class_Oless(A,c_Int_Onumber__class_Onumber__of(A,C),c_Groups_Ozero__class_Ozero(A))| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),D).
% 0.19/0.54    Following clause subsumed by 37 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|c_Orderings_Oord__class_Oless(A,c_Rings_Oinverse__class_Odivide(A,B,c_Int_Onumber__class_Onumber__of(A,C)),D)|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(A,C))| -c_Orderings_Oord__class_Oless(A,hAPP(c_Groups_Otimes__class_Otimes(A,D),c_Int_Onumber__class_Onumber__of(A,C)),B)| -c_Orderings_Oord__class_Oless(A,c_Int_Onumber__class_Onumber__of(A,C),c_Groups_Ozero__class_Ozero(A)).
% 0.19/0.54    Following clause subsumed by 38 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|c_Orderings_Oord__class_Oless(A,c_Rings_Oinverse__class_Odivide(A,B,c_Int_Onumber__class_Onumber__of(A,C)),D)|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(A,C))| -c_Orderings_Oord__class_Oless(A,hAPP(c_Groups_Otimes__class_Otimes(A,D),c_Int_Onumber__class_Onumber__of(A,C)),B)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),D).
% 0.19/0.54    Following clause subsumed by 39 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|c_Orderings_Oord__class_Oless(A,c_Rings_Oinverse__class_Odivide(A,B,c_Int_Onumber__class_Onumber__of(A,C)),D)| -c_Orderings_Oord__class_Oless(A,B,hAPP(c_Groups_Otimes__class_Otimes(A,D),c_Int_Onumber__class_Onumber__of(A,C)))| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(A,C)).
% 0.19/0.54    Following clause subsumed by 40 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|c_Orderings_Oord__class_Oless(A,c_Rings_Oinverse__class_Odivide(A,B,c_Int_Onumber__class_Onumber__of(A,C)),D)| -c_Orderings_Oord__class_Oless(A,B,hAPP(c_Groups_Otimes__class_Otimes(A,D),c_Int_Onumber__class_Onumber__of(A,C)))|c_Orderings_Oord__class_Oless(A,c_Int_Onumber__class_Onumber__of(A,C),c_Groups_Ozero__class_Ozero(A))| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),D).
% 0.19/0.54    Following clause subsumed by 41 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|c_Orderings_Oord__class_Oless(A,c_Rings_Oinverse__class_Odivide(A,B,c_Int_Onumber__class_Onumber__of(A,C)),D)| -c_Orderings_Oord__class_Oless(A,B,hAPP(c_Groups_Otimes__class_Otimes(A,D),c_Int_Onumber__class_Onumber__of(A,C)))| -c_Orderings_Oord__class_Oless(A,hAPP(c_Groups_Otimes__class_Otimes(A,D),c_Int_Onumber__class_Onumber__of(A,C)),B)| -c_Orderings_Oord__class_Oless(A,c_Int_Onumber__class_Onumber__of(A,C),c_Groups_Ozero__class_Ozero(A)).
% 0.19/0.54    Following clause subsumed by 42 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|c_Orderings_Oord__class_Oless(A,c_Rings_Oinverse__class_Odivide(A,B,c_Int_Onumber__class_Onumber__of(A,C)),D)| -c_Orderings_Oord__class_Oless(A,B,hAPP(c_Groups_Otimes__class_Otimes(A,D),c_Int_Onumber__class_Onumber__of(A,C)))| -c_Orderings_Oord__class_Oless(A,hAPP(c_Groups_Otimes__class_Otimes(A,D),c_Int_Onumber__class_Onumber__of(A,C)),B)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),D).
% 0.19/0.54    Following clause subsumed by 33 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)| -c_Orderings_Oord__class_Oless(A,c_Rings_Oinverse__class_Odivide(A,B,C),c_Int_Onumber__class_Onumber__of(A,D))| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),C)|c_Orderings_Oord__class_Oless(A,B,hAPP(c_Groups_Otimes__class_Otimes(A,c_Int_Onumber__class_Onumber__of(A,D)),C)).
% 0.19/0.54    Following clause subsumed by 34 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)| -c_Orderings_Oord__class_Oless(A,c_Rings_Oinverse__class_Odivide(A,B,C),c_Int_Onumber__class_Onumber__of(A,D))|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),C)| -c_Orderings_Oord__class_Oless(A,C,c_Groups_Ozero__class_Ozero(A))|c_Orderings_Oord__class_Oless(A,hAPP(c_Groups_Otimes__class_Otimes(A,c_Int_Onumber__class_Onumber__of(A,D)),C),B).
% 0.19/0.54    Following clause subsumed by 35 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)| -c_Orderings_Oord__class_Oless(A,c_Rings_Oinverse__class_Odivide(A,B,C),c_Int_Onumber__class_Onumber__of(A,D))|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),C)|c_Orderings_Oord__class_Oless(A,C,c_Groups_Ozero__class_Ozero(A))|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(A,D)).
% 0.19/0.54    Following clause subsumed by 36 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|c_Orderings_Oord__class_Oless(A,c_Rings_Oinverse__class_Odivide(A,B,C),c_Int_Onumber__class_Onumber__of(A,D))|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),C)|c_Orderings_Oord__class_Oless(A,C,c_Groups_Ozero__class_Ozero(A))| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(A,D)).
% 0.19/0.54    Following clause subsumed by 37 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|c_Orderings_Oord__class_Oless(A,c_Rings_Oinverse__class_Odivide(A,B,C),c_Int_Onumber__class_Onumber__of(A,D))|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),C)| -c_Orderings_Oord__class_Oless(A,hAPP(c_Groups_Otimes__class_Otimes(A,c_Int_Onumber__class_Onumber__of(A,D)),C),B)| -c_Orderings_Oord__class_Oless(A,C,c_Groups_Ozero__class_Ozero(A)).
% 0.19/0.54    Following clause subsumed by 38 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|c_Orderings_Oord__class_Oless(A,c_Rings_Oinverse__class_Odivide(A,B,C),c_Int_Onumber__class_Onumber__of(A,D))|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),C)| -c_Orderings_Oord__class_Oless(A,hAPP(c_Groups_Otimes__class_Otimes(A,c_Int_Onumber__class_Onumber__of(A,D)),C),B)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(A,D)).
% 0.19/0.54    Following clause subsumed by 39 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|c_Orderings_Oord__class_Oless(A,c_Rings_Oinverse__class_Odivide(A,B,C),c_Int_Onumber__class_Onumber__of(A,D))| -c_Orderings_Oord__class_Oless(A,B,hAPP(c_Groups_Otimes__class_Otimes(A,c_Int_Onumber__class_Onumber__of(A,D)),C))| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),C).
% 0.19/0.54    Following clause subsumed by 40 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|c_Orderings_Oord__class_Oless(A,c_Rings_Oinverse__class_Odivide(A,B,C),c_Int_Onumber__class_Onumber__of(A,D))| -c_Orderings_Oord__class_Oless(A,B,hAPP(c_Groups_Otimes__class_Otimes(A,c_Int_Onumber__class_Onumber__of(A,D)),C))|c_Orderings_Oord__class_Oless(A,C,c_Groups_Ozero__class_Ozero(A))| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(A,D)).
% 0.19/0.54    Following clause subsumed by 41 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|c_Orderings_Oord__class_Oless(A,c_Rings_Oinverse__class_Odivide(A,B,C),c_Int_Onumber__class_Onumber__of(A,D))| -c_Orderings_Oord__class_Oless(A,B,hAPP(c_Groups_Otimes__class_Otimes(A,c_Int_Onumber__class_Onumber__of(A,D)),C))| -c_Orderings_Oord__class_Oless(A,hAPP(c_Groups_Otimes__class_Otimes(A,c_Int_Onumber__class_Onumber__of(A,D)),C),B)| -c_Orderings_Oord__class_Oless(A,C,c_Groups_Ozero__class_Ozero(A)).
% 0.19/0.54    Following clause subsumed by 42 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|c_Orderings_Oord__class_Oless(A,c_Rings_Oinverse__class_Odivide(A,B,C),c_Int_Onumber__class_Onumber__of(A,D))| -c_Orderings_Oord__class_Oless(A,B,hAPP(c_Groups_Otimes__class_Otimes(A,c_Int_Onumber__class_Onumber__of(A,D)),C))| -c_Orderings_Oord__class_Oless(A,hAPP(c_Groups_Otimes__class_Otimes(A,c_Int_Onumber__class_Onumber__of(A,D)),C),B)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(A,D)).
% 0.19/0.54    Following clause subsumed by 43 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)| -c_Orderings_Oord__class_Oless(A,c_Int_Onumber__class_Onumber__of(A,B),c_Rings_Oinverse__class_Odivide(A,C,D))| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),D)|c_Orderings_Oord__class_Oless(A,hAPP(c_Groups_Otimes__class_Otimes(A,c_Int_Onumber__class_Onumber__of(A,B)),D),C).
% 0.19/0.54    Following clause subsumed by 44 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)| -c_Orderings_Oord__class_Oless(A,c_Int_Onumber__class_Onumber__of(A,B),c_Rings_Oinverse__class_Odivide(A,C,D))|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),D)| -c_Orderings_Oord__class_Oless(A,D,c_Groups_Ozero__class_Ozero(A))|c_Orderings_Oord__class_Oless(A,C,hAPP(c_Groups_Otimes__class_Otimes(A,c_Int_Onumber__class_Onumber__of(A,B)),D)).
% 0.19/0.54    Following clause subsumed by 45 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)| -c_Orderings_Oord__class_Oless(A,c_Int_Onumber__class_Onumber__of(A,B),c_Rings_Oinverse__class_Odivide(A,C,D))|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),D)|c_Orderings_Oord__class_Oless(A,D,c_Groups_Ozero__class_Ozero(A))|c_Orderings_Oord__class_Oless(A,c_Int_Onumber__class_Onumber__of(A,B),c_Groups_Ozero__class_Ozero(A)).
% 0.19/0.54    Following clause subsumed by 46 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|c_Orderings_Oord__class_Oless(A,c_Int_Onumber__class_Onumber__of(A,B),c_Rings_Oinverse__class_Odivide(A,C,D))|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),D)|c_Orderings_Oord__class_Oless(A,D,c_Groups_Ozero__class_Ozero(A))| -c_Orderings_Oord__class_Oless(A,c_Int_Onumber__class_Onumber__of(A,B),c_Groups_Ozero__class_Ozero(A)).
% 0.19/0.54    Following clause subsumed by 47 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|c_Orderings_Oord__class_Oless(A,c_Int_Onumber__class_Onumber__of(A,B),c_Rings_Oinverse__class_Odivide(A,C,D))|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),D)| -c_Orderings_Oord__class_Oless(A,C,hAPP(c_Groups_Otimes__class_Otimes(A,c_Int_Onumber__class_Onumber__of(A,B)),D))| -c_Orderings_Oord__class_Oless(A,D,c_Groups_Ozero__class_Ozero(A)).
% 0.19/0.54    Following clause subsumed by 48 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|c_Orderings_Oord__class_Oless(A,c_Int_Onumber__class_Onumber__of(A,B),c_Rings_Oinverse__class_Odivide(A,C,D))|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),D)| -c_Orderings_Oord__class_Oless(A,C,hAPP(c_Groups_Otimes__class_Otimes(A,c_Int_Onumber__class_Onumber__of(A,B)),D))| -c_Orderings_Oord__class_Oless(A,c_Int_Onumber__class_Onumber__of(A,B),c_Groups_Ozero__class_Ozero(A)).
% 0.19/0.54    Following clause subsumed by 49 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|c_Orderings_Oord__class_Oless(A,c_Int_Onumber__class_Onumber__of(A,B),c_Rings_Oinverse__class_Odivide(A,C,D))| -c_Orderings_Oord__class_Oless(A,hAPP(c_Groups_Otimes__class_Otimes(A,c_Int_Onumber__class_Onumber__of(A,B)),D),C)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),D).
% 0.19/0.54    Following clause subsumed by 50 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|c_Orderings_Oord__class_Oless(A,c_Int_Onumber__class_Onumber__of(A,B),c_Rings_Oinverse__class_Odivide(A,C,D))| -c_Orderings_Oord__class_Oless(A,hAPP(c_Groups_Otimes__class_Otimes(A,c_Int_Onumber__class_Onumber__of(A,B)),D),C)|c_Orderings_Oord__class_Oless(A,D,c_Groups_Ozero__class_Ozero(A))| -c_Orderings_Oord__class_Oless(A,c_Int_Onumber__class_Onumber__of(A,B),c_Groups_Ozero__class_Ozero(A)).
% 0.19/0.54    Following clause subsumed by 51 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|c_Orderings_Oord__class_Oless(A,c_Int_Onumber__class_Onumber__of(A,B),c_Rings_Oinverse__class_Odivide(A,C,D))| -c_Orderings_Oord__class_Oless(A,hAPP(c_Groups_Otimes__class_Otimes(A,c_Int_Onumber__class_Onumber__of(A,B)),D),C)| -c_Orderings_Oord__class_Oless(A,C,hAPP(c_Groups_Otimes__class_Otimes(A,c_Int_Onumber__class_Onumber__of(A,B)),D))| -c_Orderings_Oord__class_Oless(A,D,c_Groups_Ozero__class_Ozero(A)).
% 0.19/0.54    Following clause subsumed by 52 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|c_Orderings_Oord__class_Oless(A,c_Int_Onumber__class_Onumber__of(A,B),c_Rings_Oinverse__class_Odivide(A,C,D))| -c_Orderings_Oord__class_Oless(A,hAPP(c_Groups_Otimes__class_Otimes(A,c_Int_Onumber__class_Onumber__of(A,B)),D),C)| -c_Orderings_Oord__class_Oless(A,C,hAPP(c_Groups_Otimes__class_Otimes(A,c_Int_Onumber__class_Onumber__of(A,B)),D))| -c_Orderings_Oord__class_Oless(A,c_Int_Onumber__class_Onumber__of(A,B),c_Groups_Ozero__class_Ozero(A)).
% 0.19/0.54    Following clause subsumed by 43 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)| -c_Orderings_Oord__class_Oless(A,B,c_Rings_Oinverse__class_Odivide(A,C,c_Int_Onumber__class_Onumber__of(A,D)))| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(A,D))|c_Orderings_Oord__class_Oless(A,hAPP(c_Groups_Otimes__class_Otimes(A,B),c_Int_Onumber__class_Onumber__of(A,D)),C).
% 0.19/0.54    Following clause subsumed by 44 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)| -c_Orderings_Oord__class_Oless(A,B,c_Rings_Oinverse__class_Odivide(A,C,c_Int_Onumber__class_Onumber__of(A,D)))|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(A,D))| -c_Orderings_Oord__class_Oless(A,c_Int_Onumber__class_Onumber__of(A,D),c_Groups_Ozero__class_Ozero(A))|c_Orderings_Oord__class_Oless(A,C,hAPP(c_Groups_Otimes__class_Otimes(A,B),c_Int_Onumber__class_Onumber__of(A,D))).
% 0.19/0.54    Following clause subsumed by 45 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)| -c_Orderings_Oord__class_Oless(A,B,c_Rings_Oinverse__class_Odivide(A,C,c_Int_Onumber__class_Onumber__of(A,D)))|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(A,D))|c_Orderings_Oord__class_Oless(A,c_Int_Onumber__class_Onumber__of(A,D),c_Groups_Ozero__class_Ozero(A))|c_Orderings_Oord__class_Oless(A,B,c_Groups_Ozero__class_Ozero(A)).
% 0.19/0.54    Following clause subsumed by 46 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|c_Orderings_Oord__class_Oless(A,B,c_Rings_Oinverse__class_Odivide(A,C,c_Int_Onumber__class_Onumber__of(A,D)))|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(A,D))|c_Orderings_Oord__class_Oless(A,c_Int_Onumber__class_Onumber__of(A,D),c_Groups_Ozero__class_Ozero(A))| -c_Orderings_Oord__class_Oless(A,B,c_Groups_Ozero__class_Ozero(A)).
% 0.19/0.54    Following clause subsumed by 47 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|c_Orderings_Oord__class_Oless(A,B,c_Rings_Oinverse__class_Odivide(A,C,c_Int_Onumber__class_Onumber__of(A,D)))|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(A,D))| -c_Orderings_Oord__class_Oless(A,C,hAPP(c_Groups_Otimes__class_Otimes(A,B),c_Int_Onumber__class_Onumber__of(A,D)))| -c_Orderings_Oord__class_Oless(A,c_Int_Onumber__class_Onumber__of(A,D),c_Groups_Ozero__class_Ozero(A)).
% 0.19/0.54    Following clause subsumed by 48 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|c_Orderings_Oord__class_Oless(A,B,c_Rings_Oinverse__class_Odivide(A,C,c_Int_Onumber__class_Onumber__of(A,D)))|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(A,D))| -c_Orderings_Oord__class_Oless(A,C,hAPP(c_Groups_Otimes__class_Otimes(A,B),c_Int_Onumber__class_Onumber__of(A,D)))| -c_Orderings_Oord__class_Oless(A,B,c_Groups_Ozero__class_Ozero(A)).
% 0.19/0.54    Following clause subsumed by 49 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|c_Orderings_Oord__class_Oless(A,B,c_Rings_Oinverse__class_Odivide(A,C,c_Int_Onumber__class_Onumber__of(A,D)))| -c_Orderings_Oord__class_Oless(A,hAPP(c_Groups_Otimes__class_Otimes(A,B),c_Int_Onumber__class_Onumber__of(A,D)),C)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(A,D)).
% 0.19/0.54    Following clause subsumed by 50 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|c_Orderings_Oord__class_Oless(A,B,c_Rings_Oinverse__class_Odivide(A,C,c_Int_Onumber__class_Onumber__of(A,D)))| -c_Orderings_Oord__class_Oless(A,hAPP(c_Groups_Otimes__class_Otimes(A,B),c_Int_Onumber__class_Onumber__of(A,D)),C)|c_Orderings_Oord__class_Oless(A,c_Int_Onumber__class_Onumber__of(A,D),c_Groups_Ozero__class_Ozero(A))| -c_Orderings_Oord__class_Oless(A,B,c_Groups_Ozero__class_Ozero(A)).
% 0.19/0.54    Following clause subsumed by 51 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|c_Orderings_Oord__class_Oless(A,B,c_Rings_Oinverse__class_Odivide(A,C,c_Int_Onumber__class_Onumber__of(A,D)))| -c_Orderings_Oord__class_Oless(A,hAPP(c_Groups_Otimes__class_Otimes(A,B),c_Int_Onumber__class_Onumber__of(A,D)),C)| -c_Orderings_Oord__class_Oless(A,C,hAPP(c_Groups_Otimes__class_Otimes(A,B),c_Int_Onumber__class_Onumber__of(A,D)))| -c_Orderings_Oord__class_Oless(A,c_Int_Onumber__class_Onumber__of(A,D),c_Groups_Ozero__class_Ozero(A)).
% 0.19/0.54    Following clause subsumed by 52 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|c_Orderings_Oord__class_Oless(A,B,c_Rings_Oinverse__class_Odivide(A,C,c_Int_Onumber__class_Onumber__of(A,D)))| -c_Orderings_Oord__class_Oless(A,hAPP(c_Groups_Otimes__class_Otimes(A,B),c_Int_Onumber__class_Onumber__of(A,D)),C)| -c_Orderings_Oord__class_Oless(A,C,hAPP(c_Groups_Otimes__class_Otimes(A,B),c_Int_Onumber__class_Onumber__of(A,D)))| -c_Orderings_Oord__class_Oless(A,B,c_Groups_Ozero__class_Ozero(A)).
% 0.19/0.54    Following clause subsumed by 491 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).
% 0.19/0.54    Following clause subsumed by 550 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).
% 0.19/0.54    Following clause subsumed by 491 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).
% 0.19/0.54    Following clause subsumed by 557 during input processing: 0 [flip.2] {-} -class_Int_Onumber__ring(A)|c_Int_Onumber__class_Onumber__of(A,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,B))=c_Groups_Ouminus__class_Ouminus(A,c_Int_Onumber__class_Onumber__of(A,B)).
% 0.19/0.54    Following clause subsumed by 571 during input processing: 0 [] {-} -class_Groups_Olinordered__ab__group__add(A)|c_Groups_Ouminus__class_Ouminus(A,B)!=B|B=c_Groups_Ozero__class_Ozero(A).
% 0.19/0.54    Following clause subsumed by 573 during input processing: 0 [] {-} -class_Groups_Olinordered__ab__group__add(A)|c_Groups_Ouminus__class_Ouminus(A,B)=B|B!=c_Groups_Ozero__class_Ozero(A).
% 0.19/0.54    Following clause subsumed by 576 during input processing: 0 [] {-} -class_Groups_Oordered__ab__group__add(A)|c_Orderings_Oord__class_Oless__eq(A,B,c_Groups_Ouminus__class_Ouminus(A,C))| -c_Orderings_Oord__class_Oless__eq(A,C,c_Groups_Ouminus__class_Ouminus(A,B)).
% 0.19/0.54    Following clause subsumed by 577 during input processing: 0 [] {-} -class_Groups_Oordered__ab__group__add(A)|c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ouminus__class_Ouminus(A,B),C)| -c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ouminus__class_Ouminus(A,C),B).
% 0.19/0.54    Following clause subsumed by 579 during input processing: 0 [] {-} -class_Groups_Oordered__ab__group__add(A)| -c_Orderings_Oord__class_Oless__eq(A,B,C)|c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ouminus__class_Ouminus(A,C),c_Groups_Ouminus__class_Ouminus(A,B)).
% 0.19/0.54    Following clause subsumed by 580 during input processing: 0 [] {-} -class_Lattices_Oboolean__algebra(A)|c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ouminus__class_Ouminus(A,B),c_Groups_Ouminus__class_Ouminus(A,C))| -c_Orderings_Oord__class_Oless__eq(A,C,B).
% 0.19/0.54    Following clause subsumed by 584 during input processing: 0 [] {-} -class_Groups_Oordered__ab__group__add(A)|c_Orderings_Oord__class_Oless(A,c_Groups_Ouminus__class_Ouminus(A,B),C)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ouminus__class_Ouminus(A,C),B).
% 0.19/0.54    Following clause subsumed by 585 during input processing: 0 [] {-} -class_Groups_Oordered__ab__group__add(A)|c_Orderings_Oord__class_Oless(A,B,c_Groups_Ouminus__class_Ouminus(A,C))| -c_Orderings_Oord__class_Oless(A,C,c_Groups_Ouminus__class_Ouminus(A,B)).
% 0.19/0.54    Following clause subsumed by 595 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|hAPP(c_Groups_Otimes__class_Otimes(A,c_Groups_Ouminus__class_Ouminus(A,B)),C)=c_Groups_Ouminus__class_Ouminus(A,hAPP(c_Groups_Otimes__class_Otimes(A,B),C)).
% 0.19/0.54    Following clause subsumed by 596 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|hAPP(c_Groups_Otimes__class_Otimes(A,B),c_Groups_Ouminus__class_Ouminus(A,C))=c_Groups_Ouminus__class_Ouminus(A,hAPP(c_Groups_Otimes__class_Otimes(A,B),C)).
% 0.19/0.54    Following clause subsumed by 612 during input processing: 0 [] {-} -class_Groups_Ogroup__add(A)|B=c_Groups_Ouminus__class_Ouminus(A,C)|C!=c_Groups_Ouminus__class_Ouminus(A,B).
% 0.19/0.54    Following clause subsumed by 613 during input processing: 0 [] {-} -class_Groups_Ogroup__add(A)|c_Groups_Ouminus__class_Ouminus(A,B)=C|c_Groups_Ouminus__class_Ouminus(A,C)!=B.
% 0.19/0.54    Following clause subsumed by 552 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_Transcendental_Oexp(tc_RealDef_Oreal),A),hAPP(c_Transcendental_Oexp(tc_RealDef_Oreal),B))| -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,A,B).
% 0.19/0.54    Following clause subsumed by 616 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_Transcendental_Oexp(tc_RealDef_Oreal),A),hAPP(c_Transcendental_Oexp(tc_RealDef_Oreal),B))|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,A,B).
% 0.19/0.54    Following clause subsumed by 635 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Int_Oint,A,B)|c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,A,c_Groups_Oone__class_Oone(tc_Int_Oint)),B).
% 0.19/0.54    Following clause subsumed by 642 during input processing: 0 [] {-} hAPP(c_Transcendental_Oexp(tc_RealDef_Oreal),A)!=B|hAPP(c_Transcendental_Oln,B)=A.
% 0.19/0.54    Following clause subsumed by 687 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__field(A)| -class_SEQ_Obanach(A)|hAPP(c_Groups_Otimes__class_Otimes(A,hAPP(c_Transcendental_Oexp(A),B)),hAPP(c_Transcendental_Oexp(A),C))=hAPP(c_Transcendental_Oexp(A),c_Groups_Oplus__class_Oplus(A,B,C)).
% 0.19/0.54    Following clause subsumed by 700 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),hAPP(c_Transcendental_Oexp(tc_RealDef_Oreal),A))| -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),A).
% 0.19/0.54    Following clause subsumed by 704 during input processing: 0 [] {-} hAPP(c_Transcendental_Oexp(tc_RealDef_Oreal),hAPP(c_Transcendental_Oln,A))=A| -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),A).
% 0.19/0.54    Following clause subsumed by 707 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__field(A)| -c_Deriv_Oderiv(A,B,C,D)|D!=E|c_Deriv_Oderiv(A,B,C,E).
% 0.19/0.54    Following clause subsumed by 711 during input processing: 0 [] {-} -class_Rings_Olinordered__idom(A)|c_Groups_Osgn__class_Osgn(A,B)=c_Groups_Ouminus__class_Ouminus(A,c_Groups_Oone__class_Oone(A))| -c_Orderings_Oord__class_Oless(A,B,c_Groups_Ozero__class_Ozero(A)).
% 0.19/0.54    Following clause subsumed by 757 during input processing: 0 [flip.2] {-} -class_Int_Onumber__ring(A)|c_Groups_Ozero__class_Ozero(A)=c_Int_Onumber__class_Onumber__of(A,c_Int_OPls).
% 0.19/0.54    Following clause subsumed by 784 during input processing: 0 [] {-} c_Int_OBit1(A)!=c_Int_OPls.
% 0.19/0.54    Following clause subsumed by 785 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OBit1(A),c_Int_OBit1(B))|c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,A,B).
% 0.19/0.54    Following clause subsumed by 786 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OBit1(A),c_Int_OBit1(B))| -c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,A,B).
% 0.19/0.54    Following clause subsumed by 787 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit1(A),c_Int_OBit1(B))|c_Orderings_Oord__class_Oless(tc_Int_Oint,A,B).
% 0.19/0.54    Following clause subsumed by 788 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit1(A),c_Int_OBit1(B))| -c_Orderings_Oord__class_Oless(tc_Int_Oint,A,B).
% 0.19/0.54    Following clause subsumed by 803 during input processing: 0 [] {-} -class_Fields_Ofield(A)| -class_Int_Onumber__ring(A)|c_Rings_Oinverse__class_Odivide(A,B,c_Int_Onumber__class_Onumber__of(A,c_Int_OBit1(c_Int_OPls)))=B.
% 0.19/0.54    Following clause subsumed by 823 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,A).
% 0.19/0.54    Following clause subsumed by 825 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|B!=A.
% 0.19/0.54    Following clause subsumed by 824 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|A!=B.
% 0.19/0.54    Following clause subsumed by 820 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 0.19/0.54    Following clause subsumed by 825 during input processing: 0 [] {-} A!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),A).
% 0.19/0.54    Following clause subsumed by 820 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 0.19/0.54    Following clause subsumed by 832 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).
% 0.19/0.54    Following clause subsumed by 832 during input processing: 0 [] {-} A!=B|c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,B).
% 0.19/0.54    Following clause subsumed by 858 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,B).
% 0.19/0.54    Following clause subsumed by 859 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,B)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|A=B.
% 0.19/0.54    Following clause subsumed by 858 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,B)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B).
% 0.19/0.54    Following clause subsumed by 832 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,B)|A!=B.
% 0.19/0.54    Following clause subsumed by 858 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,B).
% 0.19/0.54    Following clause subsumed by 824 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|A!=B.
% 0.19/0.55    Following clause subsumed by 859 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)| -c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,B)|A=B.
% 0.19/0.55    Following clause subsumed by 870 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,B),C)|c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,C).
% 0.19/0.55    Following clause subsumed by 869 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,B),C)|c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,B,C).
% 0.19/0.55    Following clause subsumed by 822 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,B)|c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat,C),A),hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat,C),B)).
% 0.19/0.55    Following clause subsumed by 853 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,B))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),A).
% 0.19/0.55    Following clause subsumed by 852 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,B))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),B).
% 0.19/0.55    Following clause subsumed by 888 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(c_Groups_Otimes__class_Otimes(tc_Nat_Onat,A),C),hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat,B),C)).
% 0.19/0.55    Following clause subsumed by 885 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(c_Groups_Otimes__class_Otimes(tc_Nat_Onat,C),A),hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat,C),B)).
% 0.19/0.55    Following clause subsumed by 871 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat,A),B),hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat,C),B))| -c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,C).
% 0.19/0.55    Following clause subsumed by 821 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(c_Groups_Otimes__class_Otimes(tc_Nat_Onat,A),B),hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat,A),C))|c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,B,C).
% 0.19/0.55    Following clause subsumed by 822 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(c_Groups_Otimes__class_Otimes(tc_Nat_Onat,A),B),hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat,A),C))| -c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,B,C).
% 0.19/0.55    Following clause subsumed by 843 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),A)|hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat,A),B)=hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat,A),C)|B!=C.
% 0.19/0.55    Following clause subsumed by 884 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(c_Groups_Otimes__class_Otimes(tc_Nat_Onat,A),B),hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat,A),C))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,B,C).
% 0.19/0.55    Following clause subsumed by 885 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(c_Groups_Otimes__class_Otimes(tc_Nat_Onat,A),B),hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat,A),C))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,B,C).
% 0.19/0.55    Following clause subsumed by 842 during input processing: 0 [] {-} hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat,A),B)!=hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat,A),C)|A=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|B=C.
% 0.19/0.55    Following clause subsumed by 844 during input processing: 0 [] {-} hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat,A),B)=hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat,A),C)|A!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.19/0.55    Following clause subsumed by 843 during input processing: 0 [] {-} hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat,A),B)=hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat,A),C)|B!=C.
% 0.19/0.55    Following clause subsumed by 866 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,B)|c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,C,B)).
% 0.19/0.55    Following clause subsumed by 865 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,B)|c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,B,C)).
% 0.19/0.55    Following clause subsumed by 852 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,C,B)).
% 0.19/0.55    Following clause subsumed by 853 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,B,C)).
% 0.19/0.55    Following clause subsumed by 858 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,B).
% 0.19/0.55    Following clause subsumed by 862 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,B)|B!=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,C).
% 0.19/0.55    Following clause subsumed by 900 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OBit0(A),c_Int_OBit0(B))|c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,A,B).
% 0.19/0.55    Following clause subsumed by 901 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OBit0(A),c_Int_OBit0(B))| -c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,A,B).
% 0.19/0.55    Following clause subsumed by 902 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit0(A),c_Int_OBit0(B))|c_Orderings_Oord__class_Oless(tc_Int_Oint,A,B).
% 0.19/0.55    Following clause subsumed by 903 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit0(A),c_Int_OBit0(B))| -c_Orderings_Oord__class_Oless(tc_Int_Oint,A,B).
% 0.19/0.55    Following clause subsumed by 920 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit1(A),c_Int_OBit0(B))|c_Orderings_Oord__class_Oless(tc_Int_Oint,A,B).
% 0.19/0.55    Following clause subsumed by 921 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit1(A),c_Int_OBit0(B))| -c_Orderings_Oord__class_Oless(tc_Int_Oint,A,B).
% 0.19/0.55    Following clause subsumed by 926 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OBit0(A),c_Int_OBit1(B))|c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,A,B).
% 0.19/0.55    Following clause subsumed by 927 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OBit0(A),c_Int_OBit1(B))| -c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,A,B).
% 0.19/0.55    Following clause subsumed by 929 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit0(A),c_Int_OBit1(B))|c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,A,B).
% 0.19/0.55    Following clause subsumed by 930 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit0(A),c_Int_OBit1(B))| -c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,A,B).
% 0.19/0.55    Following clause subsumed by 931 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OBit1(A),c_Int_OBit0(B))|c_Orderings_Oord__class_Oless(tc_Int_Oint,A,B).
% 0.19/0.55    Following clause subsumed by 932 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OBit1(A),c_Int_OBit0(B))| -c_Orderings_Oord__class_Oless(tc_Int_Oint,A,B).
% 0.19/0.55    Following clause subsumed by 943 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber__ring(A)|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),c_Rings_Oinverse__class_Odivide(A,B,c_Int_Onumber__class_Onumber__of(A,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),B).
% 0.19/0.55    Following clause subsumed by 955 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),A)|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),hAPP(c_NthRoot_Osqrt,A)).
% 0.19/0.55    Following clause subsumed by 960 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(c_NthRoot_Osqrt,A),hAPP(c_NthRoot_Osqrt,B))| -c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,A,B).
% 0.19/0.55    Following clause subsumed by 962 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_NthRoot_Osqrt,A),hAPP(c_NthRoot_Osqrt,B))| -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,A,B).
% 0.19/0.55    Following clause subsumed by 966 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(c_NthRoot_Osqrt,A))| -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),A).
% 0.19/0.55    Following clause subsumed by 972 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),A)|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(c_NthRoot_Osqrt,A)).
% 0.19/0.55    Following clause subsumed by 999 during input processing: 0 [] {-} -class_Groups_Omonoid__mult(A)| -class_Int_Onumber(A)|c_Power_Opower__class_Opower(A,c_Int_Onumber__class_Onumber__of(A,B),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))=hAPP(c_Groups_Otimes__class_Otimes(A,c_Int_Onumber__class_Onumber__of(A,B)),c_Int_Onumber__class_Onumber__of(A,B)).
% 0.19/0.55    Following clause subsumed by 1035 during input processing: 0 [] {-} c_Power_Opower__class_Opower(tc_RealDef_Oreal,hAPP(c_NthRoot_Osqrt,A),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))=A| -c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),A).
% 0.19/0.55    Following clause subsumed by 1043 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Power_Opower__class_Opower(tc_Nat_Onat,A,B))|B=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),A).
% 0.19/0.55    Following clause subsumed by 1045 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Power_Opower__class_Opower(tc_Nat_Onat,A,B))|B!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.19/0.55    Following clause subsumed by 1044 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Power_Opower__class_Opower(tc_Nat_Onat,A,B))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),A).
% 0.19/0.55    Following clause subsumed by 1043 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Power_Opower__class_Opower(tc_Nat_Onat,A,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,B)))|c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,B)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),A).
% 0.19/0.55    Following clause subsumed by 1045 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Power_Opower__class_Opower(tc_Nat_Onat,A,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,B)))|c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,B)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.19/0.58    Following clause subsumed by 1044 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Power_Opower__class_Opower(tc_Nat_Onat,A,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,B)))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),A).
% 0.19/0.58    Following clause subsumed by 1080 during input processing: 0 [] {-} -class_Rings_Olinordered__semidom(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Oone__class_Oone(A),B)| -c_Orderings_Oord__class_Oless(A,c_Power_Opower__class_Opower(A,B,C),c_Power_Opower__class_Opower(A,B,D))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,C,D).
% 0.19/0.58    Following clause subsumed by 1081 during input processing: 0 [] {-} -class_Rings_Olinordered__semidom(A)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,B,C)| -c_Orderings_Oord__class_Oless(A,c_Groups_Oone__class_Oone(A),D)|c_Orderings_Oord__class_Oless(A,c_Power_Opower__class_Opower(A,D,B),c_Power_Opower__class_Opower(A,D,C)).
% 0.19/0.58    Following clause subsumed by 1087 during input processing: 0 [] {-} -class_Rings_Olinordered__semidom(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Oone__class_Oone(A),B)| -c_Orderings_Oord__class_Oless__eq(A,c_Power_Opower__class_Opower(A,B,C),c_Power_Opower__class_Opower(A,B,D))|c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,C,D).
% 0.19/0.58  22 back subsumes 20.
% 0.19/0.58  292 back subsumes 290.
% 0.19/0.58  527 back subsumes 526.
% 0.19/0.58    Following clause subsumed by 905 during input processing: 0 [copy,904,flip.1] {-} c_Int_OBit0(A)!=c_Int_OBit1(B).
% 0.19/0.58    Following clause subsumed by 904 during input processing: 0 [copy,905,flip.1] {-} c_Int_OBit1(A)!=c_Int_OBit0(B).
% 0.19/0.58  976 back subsumes 975.
% 0.19/0.58  1047 back subsumes 996.
% 0.19/0.58  1061 back subsumes 989.
% 0.19/0.58  1062 back subsumes 990.
% 0.19/0.58  1063 back subsumes 991.
% 0.19/0.58  1073 back subsumes 1020.
% 0.19/0.58  1076 back subsumes 992.
% 0.19/0.58  1077 back subsumes 993.
% 0.19/0.58  1191 back subsumes 1186.
% 0.19/0.58  1228 back subsumes 1225.
% 0.19/0.58    Following clause subsumed by 623 during input processing: 0 [copy,1305,flip.1] {-} c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),A),A)!=c_Groups_Ozero__class_Ozero(tc_Int_Oint).
% 0.19/0.58  
% 0.19/0.58  ------------> process sos:
% 0.19/0.58    Following clause subsumed by 1415 during input processing: 0 [demod,1413,1413] {-} A=hAPP(c_Transcendental_Oln,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_Transcendental_Oln,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),A)|c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal,A)=c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)).
% 0.19/0.58    Following clause subsumed by 1422 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)).
% 0.19/0.58    Following clause subsumed by 1422 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,c_Int_OPls).
% 0.19/0.58    Following clause subsumed by 1422 during input processing: 0 [demod,1473,1467] {-} c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,c_Int_OPls).
% 0.19/0.58    Following clause subsumed by 1510 during input processing: 0 [demod,1505,1479,1479,1467] {-} c_Groups_Oone__class_Oone(tc_Int_Oint)=c_Groups_Oone__class_Oone(tc_Int_Oint).
% 0.19/0.58    Following clause subsumed by 1517 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).
% 0.19/0.58    Following clause subsumed by 1517 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|A=B|c_Orderings_Oord__class_Oless(tc_Nat_Onat,B,A)|hBOOL(hAPP(hAPP(C,B),A)).
% 0.19/0.58    Following clause subsumed by 1528 during input processing: 0 [demod,1475,1475] {-} A=c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OPls)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OPls),A).
% 0.19/0.58    Following clause subsumed by 1514 during input processing: 0 [demod,1475] {-} c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OPls),A).
% 0.43/0.62    Following clause subsumed by 1438 during input processing: 0 [demod,1578,1465,1578] {-} c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,A),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,A))=c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,A),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,A)).
% 0.43/0.62    Following clause subsumed by 1488 during input processing: 0 [demod,1578,1479] {-} c_Int_OPls=c_Int_OPls.
% 0.43/0.62    Following clause subsumed by 1381 during input processing: 0 [copy,1381,flip.1] {-} hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,A),B)=hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,B),A).
% 0.43/0.62  1399 back subsumes 1301.
% 0.43/0.62  1399 back subsumes 1300.
% 0.43/0.62  1399 back subsumes 1220.
% 0.43/0.62    Following clause subsumed by 1925 during input processing: 0 [copy,1409,flip.1] {-} c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,A,B)=c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,A,B).
% 0.43/0.62    Following clause subsumed by 1429 during input processing: 0 [copy,1429,flip.1] {-} hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint,A),B)=hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint,B),A).
% 0.43/0.62    Following clause subsumed by 1438 during input processing: 0 [copy,1438,flip.1] {-} c_Groups_Oplus__class_Oplus(tc_Int_Oint,A,B)=c_Groups_Oplus__class_Oplus(tc_Int_Oint,B,A).
% 0.43/0.62    Following clause subsumed by 1439 during input processing: 0 [copy,1439,flip.1] {-} c_Groups_Oplus__class_Oplus(tc_Int_Oint,A,c_Groups_Oplus__class_Oplus(tc_Int_Oint,B,C))=c_Groups_Oplus__class_Oplus(tc_Int_Oint,B,c_Groups_Oplus__class_Oplus(tc_Int_Oint,A,C)).
% 0.43/0.62    Following clause subsumed by 1925 during input processing: 0 [copy,1477,flip.1] {-} c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OPls)=c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OPls).
% 0.43/0.62    Following clause subsumed by 1925 during input processing: 0 [copy,1488,flip.1] {-} c_Int_OPls=c_Int_OPls.
% 0.43/0.62    Following clause subsumed by 1925 during input processing: 0 [copy,1502,flip.1] {-} c_Groups_Oone__class_Oone(tc_Nat_Onat)=c_Groups_Oone__class_Oone(tc_Nat_Onat).
% 0.43/0.62    Following clause subsumed by 1925 during input processing: 0 [copy,1510,flip.1] {-} c_Groups_Oone__class_Oone(tc_Int_Oint)=c_Groups_Oone__class_Oone(tc_Int_Oint).
% 0.43/0.62    Following clause subsumed by 1518 during input processing: 0 [copy,1518,flip.1] {-} c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,B)=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,B,A).
% 0.43/0.62    Following clause subsumed by 1519 during input processing: 0 [copy,1519,flip.1] {-} c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,B,C))=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,B,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,C)).
% 0.43/0.62    Following clause subsumed by 1526 during input processing: 0 [copy,1526,flip.1] {-} hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat,A),B)=hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat,B),A).
% 0.43/0.62    Following clause subsumed by 1925 during input processing: 0 [copy,1556,flip.1] {-} c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat,A),B),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat,C),B),D))=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat,A),B),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat,C),B),D)).
% 0.43/0.62    Following clause subsumed by 1925 during input processing: 0 [copy,1925,flip.1] {-} A=A.
% 0.43/0.62  1925 back subsumes 1556.
% 0.43/0.62  1925 back subsumes 1510.
% 0.43/0.62  1925 back subsumes 1502.
% 0.43/0.62  1925 back subsumes 1488.
% 0.43/0.62  1925 back subsumes 1477.
% 0.43/0.62  1925 back subsumes 1409.
% 0.43/0.62  1925 back subsumes 1324.
% 0.43/0.62  1925 back subsumes 1306.
% 0.43/0.62  1925 back subsumes 1302.
% 0.43/0.62  1925 back subsumes 1272.
% 0.43/0.62  1925 back subsumes 1271.
% 0.43/0.62  1925 back subsumes 1270.
% 0.43/0.62  1925 back subsumes 1257.
% 0.43/0.62  1925 back subsumes 1256.
% 0.43/0.62  1925 back subsumes 1182.
% 0.43/0.62  1925 back subsumes 1161.
% 0.43/0.62  1925 back subsumes 1159.
% 0.43/0.62    Following clause subsumed by 2234 during input processing: 0 [copy,2233,flip.1] {-} c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,A,A))!=c_Groups_Oplus__class_Oplus(tc_Int_Oint,B,B).
% 0.43/0.62    Following clause subsumed by 2233 during input processing: 0 [copy,2234,flip.1] {-} c_Groups_Oplus__class_Oplus(tc_Int_Oint,A,A)!=c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,B,B)).
% 0.43/0.62    Following clause subsumed by 1580 during input processing: 0 [copy,2294,flip.1] {-} c_Groups_Oplus__class_Oplus(tc_Int_Oint,A,c_Groups_Oplus__class_Oplus(tc_Int_Oint,A,c_Groups_Oplus__class_Oplus(tc_Int_Oint,B,B)))=c_Groups_Oplus__class_Oplus(tc_Int_Oint,A,c_Groups_Oplus__class_Oplus(tc_Int_Oint,B,c_Groups_Oplus__class_Oplus(tc_Int_Oint,A,B))).
% 0.43/0.62    Following clause subsumed by 1582 during input processing: 0 [copy,2295,flip.1] {-} c_Groups_Oplus__class_Oplus(tc_Int_Oint,A,c_Groups_Oplus__class_Oplus(tc_Int_Oint,A,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,B,B))))=c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,A,c_Groups_Oplus__class_Oplus(tc_Int_Oint,B,c_Groups_Oplus__class_Oplus(tc_Int_Oint,A,B)))).
% 0.43/0.62    Following clause subsumed by 1584 during input processing: 0 [copy,2296,flip.1] {-} c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,A,c_Groups_Oplus__class_Oplus(tc_Int_Oint,A,c_Groups_Oplus__class_Oplus(tc_Int_Oint,B,B))))=c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,A,c_Groups_Oplus__class_Oplus(tc_Int_Oint,B,c_Groups_Oplus__class_Oplus(tc_Int_Oint,A,B)))).
% 0.43/0.62    Following clause subsumed by 1589 during input processing: 0 [copy,2297,flip.1] {-} c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,A,c_Groups_Oplus__class_Oplus(tc_Int_Oint,A,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,B,B)))))=c_Groups_Oplus__class_Oplus(tc_Int_Oint,A,c_Groups_Oplus__class_Oplus(tc_Int_Oint,B,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,A,c_Groups_Oplus__class_Oplus(tc_Int_Oint,B,c_Groups_Oone__class_Oone(tc_Int_Oint)))))).
% 0.43/0.62    Following clause subsumed by 1659 during input processing: 0 [copy,2298,flip.1] {-} c_Power_Opower__class_Opower(tc_Int_Oint,c_Power_Opower__class_Opower(tc_Int_Oint,A,B),C)=c_Power_Opower__class_Opower(tc_Int_Oint,A,hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat,B),C)).
% 0.43/0.62    Following clause subsumed by 2270 during input processing: 0 [copy,2329,flip.1] {-} c_Groups_Oplus__class_Oplus(tc_Int_Oint,A,c_Groups_Oplus__class_Oplus(tc_Int_Oint,A,c_Groups_Oone__class_Oone(tc_Int_Oint)))=c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,A,A)).
% 0.43/0.62  
% 0.43/0.62  ======= end of input processing =======
% 0.46/0.63  
% 0.46/0.63  SEGMENTATION FAULT!!  This is probably caused by a
% 0.46/0.63  bug in Otter.  Please send copy of the input file to
% 0.46/0.63  otter@mcs.anl.gov, let us know what version of Otter you are
% 0.46/0.63  using, and send any other info that might be useful.
% 0.46/0.63  
% 0.46/0.63  
% 0.46/0.63  SEGMENTATION FAULT!!  This is probably caused by a
% 0.46/0.63  bug in Otter.  Please send copy of the input file to
% 0.46/0.63  otter@mcs.anl.gov, let us know what version of Otter you are
% 0.46/0.63  using, and send any other info that might be useful.
% 0.46/0.63  
% 0.46/0.63  
% 0.46/0.63  The job finished Mon Jun  6 08:23:50 2022
%------------------------------------------------------------------------------