TSTP Solution File: SWW347+1 by SOS---2.0

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : SWW347+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n032.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 01:26:39 EDT 2022

% Result   : Unknown 6.22s 6.40s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem  : SWW347+1 : TPTP v8.1.0. Released v5.2.0.
% 0.10/0.11  % Command  : sos-script %s
% 0.11/0.30  % Computer : n032.cluster.edu
% 0.11/0.30  % Model    : x86_64 x86_64
% 0.11/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30  % Memory   : 8042.1875MB
% 0.11/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30  % CPULimit : 300
% 0.11/0.30  % WCLimit  : 600
% 0.11/0.30  % DateTime : Sat Jun  4 17:59:33 EDT 2022
% 0.11/0.30  % CPUTime  : 
% 1.50/1.74  ----- Otter 3.2, August 2001 -----
% 1.50/1.74  The process was started by sandbox2 on n032.cluster.edu,
% 1.50/1.74  Sat Jun  4 17:59:33 2022
% 1.50/1.74  The command was "./sos".  The process ID is 19877.
% 1.50/1.74  
% 1.50/1.74  set(prolog_style_variables).
% 1.50/1.74  set(auto).
% 1.50/1.74     dependent: set(auto1).
% 1.50/1.74     dependent: set(process_input).
% 1.50/1.74     dependent: clear(print_kept).
% 1.50/1.74     dependent: clear(print_new_demod).
% 1.50/1.74     dependent: clear(print_back_demod).
% 1.50/1.74     dependent: clear(print_back_sub).
% 1.50/1.74     dependent: set(control_memory).
% 1.50/1.74     dependent: assign(max_mem, 12000).
% 1.50/1.74     dependent: assign(pick_given_ratio, 4).
% 1.50/1.74     dependent: assign(stats_level, 1).
% 1.50/1.74     dependent: assign(pick_semantic_ratio, 3).
% 1.50/1.74     dependent: assign(sos_limit, 5000).
% 1.50/1.74     dependent: assign(max_weight, 60).
% 1.50/1.74  clear(print_given).
% 1.50/1.74  
% 1.50/1.74  formula_list(usable).
% 1.50/1.74  
% 1.50/1.74  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=8.
% 1.50/1.74  
% 1.50/1.74  This ia a non-Horn set with equality.  The strategy will be
% 1.50/1.74  Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 1.50/1.74  unit deletion, with positive clauses in sos and nonpositive
% 1.50/1.74  clauses in usable.
% 1.50/1.74  
% 1.50/1.74     dependent: set(knuth_bendix).
% 1.50/1.74     dependent: set(para_from).
% 1.50/1.74     dependent: set(para_into).
% 1.50/1.74     dependent: clear(para_from_right).
% 1.50/1.74     dependent: clear(para_into_right).
% 1.50/1.74     dependent: set(para_from_vars).
% 1.50/1.74     dependent: set(eq_units_both_ways).
% 1.50/1.74     dependent: set(dynamic_demod_all).
% 1.50/1.74     dependent: set(dynamic_demod).
% 1.50/1.74     dependent: set(order_eq).
% 1.50/1.74     dependent: set(back_demod).
% 1.50/1.74     dependent: set(lrpo).
% 1.50/1.74     dependent: set(hyper_res).
% 1.50/1.74     dependent: set(unit_deletion).
% 1.50/1.74     dependent: set(factor).
% 1.50/1.74  
% 1.50/1.74  ------------> process usable:
% 1.50/1.74    Following clause subsumed by 13 during input processing: 0 [] {-} hAPP(hAPP(c_Set_Oinsert(A),B),C)!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool)).
% 1.50/1.74    Following clause subsumed by 11 during input processing: 0 [] {-} -class_Orderings_Obot(A)|hAPP(c_Orderings_Obot__class_Obot(tc_fun(B,A)),C)=c_Orderings_Obot__class_Obot(A).
% 1.50/1.74    Following clause subsumed by 35 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(A,B)),C),D))| -hBOOL(hAPP(A,C))| -hBOOL(hAPP(hAPP(c_Natural_Oevalc(B),C),E))| -hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(A,B)),E),D)).
% 1.50/1.74    Following clause subsumed by 36 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSemi(A,B)),C),D))| -hBOOL(hAPP(hAPP(c_Natural_Oevalc(A),C),E))| -hBOOL(hAPP(hAPP(c_Natural_Oevalc(B),E),D)).
% 1.50/1.74    Following clause subsumed by 48 during input processing: 0 [flip.1] {-} c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OSKIP.
% 1.50/1.74    Following clause subsumed by 49 during input processing: 0 [flip.1] {-} c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OSKIP.
% 1.50/1.74    Following clause subsumed by 68 during input processing: 0 [] {-} hAPP(c_Fun_Ocomp(A,B,C,D),E)!=hAPP(c_Fun_Ocomp(F,B,C,G),H)|hAPP(D,hAPP(E,I))=hAPP(G,hAPP(H,I)).
% 1.50/1.74    Following clause subsumed by 40 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(A,B)),C),D))|D=C|hBOOL(hAPP(A,C)).
% 1.50/1.74    Following clause subsumed by 75 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(A,B,C)),D),E))|hBOOL(hAPP(A,D))|hBOOL(hAPP(hAPP(c_Natural_Oevalc(C),D),E)).
% 1.50/1.74    Following clause subsumed by 76 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(A,B,C)),D),E))|hBOOL(hAPP(hAPP(c_Natural_Oevalc(B),D),E))| -hBOOL(hAPP(A,D)).
% 1.50/1.74    Following clause subsumed by 77 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(A,B,C)),D),E))|hBOOL(hAPP(hAPP(c_Natural_Oevalc(B),D),E))|hBOOL(hAPP(hAPP(c_Natural_Oevalc(C),D),E)).
% 1.50/1.74    Following clause subsumed by 74 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(A,B,C)),D),E))| -hBOOL(hAPP(A,D))| -hBOOL(hAPP(hAPP(c_Natural_Oevalc(B),D),E)).
% 1.50/1.74    Following clause subsumed by 73 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(A,B,C)),D),E))|hBOOL(hAPP(A,D))| -hBOOL(hAPP(hAPP(c_Natural_Oevalc(C),D),E)).
% 1.50/1.74    Following clause subsumed by 75 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(A,B,C)),D),E))|hBOOL(hAPP(A,D))|hBOOL(hAPP(hAPP(c_Natural_Oevalc(C),D),E)).
% 1.50/1.74    Following clause subsumed by 76 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(A,B,C)),D),E))|hBOOL(hAPP(hAPP(c_Natural_Oevalc(B),D),E))| -hBOOL(hAPP(A,D)).
% 1.50/1.74    Following clause subsumed by 77 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(A,B,C)),D),E))|hBOOL(hAPP(hAPP(c_Natural_Oevalc(B),D),E))|hBOOL(hAPP(hAPP(c_Natural_Oevalc(C),D),E)).
% 1.50/1.74    Following clause subsumed by 74 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(A,B,C)),D),E))| -hBOOL(hAPP(A,D))| -hBOOL(hAPP(hAPP(c_Natural_Oevalc(B),D),E)).
% 1.50/1.74    Following clause subsumed by 73 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(A,B,C)),D),E))|hBOOL(hAPP(A,D))| -hBOOL(hAPP(hAPP(c_Natural_Oevalc(C),D),E)).
% 1.50/1.74    Following clause subsumed by 86 during input processing: 0 [flip.1] {-} c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OSKIP.
% 1.50/1.74    Following clause subsumed by 96 during input processing: 0 [flip.1] {-} hAPP(c_Set_OCollect(A),B)!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool))| -hBOOL(hAPP(B,C)).
% 1.50/1.74    Following clause subsumed by 104 during input processing: 0 [] {-} c_Com_Ocom_OAss(A,B)!=c_Com_Ocom_OSKIP.
% 1.50/1.74    Following clause subsumed by 112 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(A),B),hAPP(hAPP(c_Set_Oinsert(A),C),c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool)))))|B=C.
% 1.50/1.74    Following clause subsumed by 117 during input processing: 0 [] {-} A=B| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(C,tc_HOL_Obool)),A),B))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(C,tc_HOL_Obool)),B),A)).
% 1.50/1.74    Following clause subsumed by 123 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_member(A),B),hAPP(c_Set_Oimage(C,A,D),E)))| -hBOOL(hAPP(hAPP(c_member(C),F),E))|B!=hAPP(D,F).
% 1.50/1.74    Following clause subsumed by 124 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(A),B),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool)),C),D)))|hBOOL(hAPP(hAPP(c_member(A),B),C))|hBOOL(hAPP(hAPP(c_member(A),B),D)).
% 1.50/1.74    Following clause subsumed by 126 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_member(A),B),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool)),C),D)))| -hBOOL(hAPP(hAPP(c_member(A),B),C)).
% 1.50/1.74    Following clause subsumed by 125 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_member(A),B),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool)),C),D)))| -hBOOL(hAPP(hAPP(c_member(A),B),D)).
% 1.50/1.74    Following clause subsumed by 155 during input processing: 0 [] {-} A!=B|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(C,tc_HOL_Obool)),A),B)).
% 1.50/1.74    Following clause subsumed by 156 during input processing: 0 [] {-} A!=B|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(C,tc_HOL_Obool)),B),A)).
% 1.50/1.74    Following clause subsumed by 126 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(A),B),C))|hBOOL(hAPP(hAPP(c_member(A),B),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool)),C),D))).
% 1.50/1.74    Following clause subsumed by 125 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(A),B),C))|hBOOL(hAPP(hAPP(c_member(A),B),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool)),D),C))).
% 1.50/1.74    Following clause subsumed by 148 during input processing: 0 [] {-} -class_Orderings_Oord(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(B,A)),C),D))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(C,E)),hAPP(D,E))).
% 1.50/1.74    Following clause subsumed by 153 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool)),B),C))|hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool)),B),C)=C.
% 1.50/1.74    Following clause subsumed by 116 during input processing: 0 [] {-} A!=B| -hBOOL(hAPP(hAPP(c_member(C),D),A))|hBOOL(hAPP(hAPP(c_member(C),D),B)).
% 1.50/1.74    Following clause subsumed by 115 during input processing: 0 [] {-} A!=B|hBOOL(hAPP(hAPP(c_member(C),D),A))| -hBOOL(hAPP(hAPP(c_member(C),D),B)).
% 1.50/1.75    Following clause subsumed by 122 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool)),B),C))| -hBOOL(hAPP(hAPP(c_member(A),D),B))|hBOOL(hAPP(hAPP(c_member(A),D),C)).
% 1.50/1.75    Following clause subsumed by 159 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),C))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),C),B))|C=B.
% 1.50/1.75    Following clause subsumed by 157 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),C))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),C),B))|C!=B.
% 1.50/1.75    Following clause subsumed by 187 during input processing: 0 [] {-} A!=B| -hBOOL(hAPP(hAPP(c_member(C),B),D))|hBOOL(hAPP(hAPP(c_member(C),A),D)).
% 1.50/1.75    Following clause subsumed by 122 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(A),B),C))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool)),C),D))|hBOOL(hAPP(hAPP(c_member(A),B),D)).
% 1.50/1.75    Following clause subsumed by 122 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool)),B),C))| -hBOOL(hAPP(hAPP(c_member(A),D),B))|hBOOL(hAPP(hAPP(c_member(A),D),C)).
% 1.50/1.75    Following clause subsumed by 159 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),C))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),C),B))|B=C.
% 1.50/1.75    Following clause subsumed by 159 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),C))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),C),B))|C=B.
% 1.50/1.75    Following clause subsumed by 123 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(A),B),C))|D!=hAPP(E,B)|hBOOL(hAPP(hAPP(c_member(F),D),hAPP(c_Set_Oimage(A,F,E),C))).
% 1.50/1.75    Following clause subsumed by 155 during input processing: 0 [] {-} A!=B|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(C,tc_HOL_Obool)),A),B)).
% 1.50/1.75    Following clause subsumed by 156 during input processing: 0 [] {-} A!=B|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(C,tc_HOL_Obool)),B),A)).
% 1.50/1.75    Following clause subsumed by 148 during input processing: 0 [] {-} -class_Orderings_Oord(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(B,A)),C),D))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(C,E)),hAPP(D,E))).
% 1.50/1.75    Following clause subsumed by 152 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),C))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),C),B)).
% 1.50/1.75    Following clause subsumed by 217 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(A),B),C))|C!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool)).
% 1.50/1.75    Following clause subsumed by 118 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(A),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool)))).
% 1.50/1.75    Following clause subsumed by 217 during input processing: 0 [] {-} A!=c_Orderings_Obot__class_Obot(tc_fun(B,tc_HOL_Obool))| -hBOOL(hAPP(hAPP(c_member(B),C),A)).
% 1.50/1.75    Following clause subsumed by 155 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool)),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool))))|B!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool)).
% 1.50/1.75    Following clause subsumed by 119 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(A),B),hAPP(hAPP(c_Set_Oinsert(A),C),D)))|B=C|hBOOL(hAPP(hAPP(c_member(A),B),D)).
% 1.50/1.75    Following clause subsumed by 121 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_member(A),B),hAPP(hAPP(c_Set_Oinsert(A),C),D)))|B!=C.
% 1.50/1.75    Following clause subsumed by 120 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_member(A),B),hAPP(hAPP(c_Set_Oinsert(A),C),D)))| -hBOOL(hAPP(hAPP(c_member(A),B),D)).
% 1.50/1.75    Following clause subsumed by 120 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(A),B),C))|hBOOL(hAPP(hAPP(c_member(A),B),hAPP(hAPP(c_Set_Oinsert(A),D),C))).
% 1.50/1.75    Following clause subsumed by 225 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,A),B),C),D))|hBOOL(hAPP(hAPP(c_Natural_Oevalc(A),B),D)).
% 1.50/1.75    Following clause subsumed by 127 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OWhile(A,B)),C),D),E))| -hBOOL(hAPP(A,C))| -hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,B),C),D),F))| -hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OWhile(A,B)),F),D),E)).
% 1.50/1.75    Following clause subsumed by 130 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OCond(A,B,C)),D),E),F))|hBOOL(hAPP(A,D))|hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,C),D),E),F)).
% 1.50/1.75    Following clause subsumed by 131 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OCond(A,B,C)),D),E),F))|hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,B),D),E),F))| -hBOOL(hAPP(A,D)).
% 1.50/1.75    Following clause subsumed by 132 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OCond(A,B,C)),D),E),F))|hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,B),D),E),F))|hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,C),D),E),F)).
% 1.50/1.75    Following clause subsumed by 129 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OCond(A,B,C)),D),E),F))| -hBOOL(hAPP(A,D))| -hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,B),D),E),F)).
% 1.50/1.75    Following clause subsumed by 128 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OCond(A,B,C)),D),E),F))|hBOOL(hAPP(A,D))| -hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,C),D),E),F)).
% 1.50/1.75    Following clause subsumed by 130 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OCond(A,B,C)),D),E),F))|hBOOL(hAPP(A,D))|hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,C),D),E),F)).
% 1.50/1.75    Following clause subsumed by 131 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OCond(A,B,C)),D),E),F))|hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,B),D),E),F))| -hBOOL(hAPP(A,D)).
% 1.50/1.75    Following clause subsumed by 132 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OCond(A,B,C)),D),E),F))|hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,B),D),E),F))|hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,C),D),E),F)).
% 1.50/1.75    Following clause subsumed by 129 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OCond(A,B,C)),D),E),F))| -hBOOL(hAPP(A,D))| -hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,B),D),E),F)).
% 1.50/1.75    Following clause subsumed by 128 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OCond(A,B,C)),D),E),F))|hBOOL(hAPP(A,D))| -hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,C),D),E),F)).
% 1.50/1.75    Following clause subsumed by 133 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OSemi(A,B)),C),D),E))| -hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,A),C),D),F))| -hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,B),F),D),E)).
% 1.50/1.75    Following clause subsumed by 135 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_member(A),B),hAPP(c_Set_OCollect(A),C)))| -hBOOL(hAPP(C,B)).
% 1.50/1.75    Following clause subsumed by 244 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(A),B),hAPP(c_Set_OCollect(A),C)))|hBOOL(hAPP(C,B)).
% 1.50/1.75    Following clause subsumed by 244 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(A),B),hAPP(c_Set_OCollect(A),C)))|hBOOL(hAPP(C,B)).
% 1.50/1.75    Following clause subsumed by 249 during input processing: 0 [flip.1] {-} c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OSKIP.
% 1.50/1.75    Following clause subsumed by 250 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(A),B),C))|hAPP(c_Fun_Ooverride__on(A,D,E,F,C),B)=hAPP(F,B).
% 1.50/1.75    Following clause subsumed by 118 during input processing: 0 [unit_del,266] {-} -hBOOL(hAPP(hAPP(c_member(A),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool)))).
% 1.50/1.75    Following clause subsumed by 260 during input processing: 0 [] {-} -class_Lattices_Olattice(A)|hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(B,A)),C),D),E)=hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(A),hAPP(C,E)),hAPP(D,E)).
% 1.50/1.75    Following clause subsumed by 273 during input processing: 0 [] {-} -class_Lattices_Osemilattice__sup(A)|hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(A),B),B)=B.
% 1.50/1.75    Following clause subsumed by 274 during input processing: 0 [] {-} -class_Lattices_Osemilattice__sup(A)|hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(A),B),C)=hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(A),C),B).
% 1.50/1.75    Following clause subsumed by 276 during input processing: 0 [] {-} -class_Lattices_Osemilattice__sup(A)|hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(A),B),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(A),B),C))=hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(A),B),C).
% 1.50/1.75    Following clause subsumed by 278 during input processing: 0 [] {-} -class_Lattices_Osemilattice__sup(A)|hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(A),B),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(A),C),D))=hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(A),C),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(A),B),D)).
% 1.50/1.75    Following clause subsumed by 280 during input processing: 0 [] {-} -class_Lattices_Osemilattice__sup(A)|hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(A),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(A),B),C)),D)=hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(A),B),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(A),C),D)).
% 1.50/1.75    Following clause subsumed by 282 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool)),B),C))| -hBOOL(hAPP(B,D))|hBOOL(hAPP(C,D)).
% 1.50/1.75    Following clause subsumed by 258 during input processing: 0 [] {-} -hBOOL(hAPP(A,B))|hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(C,tc_HOL_Obool)),A),D),B)).
% 1.50/1.75    Following clause subsumed by 257 during input processing: 0 [] {-} -hBOOL(hAPP(A,B))|hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(C,tc_HOL_Obool)),D),A),B)).
% 1.50/1.75    Following clause subsumed by 291 during input processing: 0 [] {-} -class_Lattices_Osemilattice__sup(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),C))|hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(A),B),C)=C.
% 1.50/1.75    Following clause subsumed by 295 during input processing: 0 [] {-} -class_Lattices_Osemilattice__sup(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),C))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),D),C))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(A),B),D)),C)).
% 1.50/1.75    Following clause subsumed by 295 during input processing: 0 [] {-} -class_Lattices_Osemilattice__sup(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),C))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),D),C))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(A),B),D)),C)).
% 1.50/1.75    Following clause subsumed by 293 during input processing: 0 [] {-} -class_Lattices_Osemilattice__sup(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(A),B),C)),D))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),D)).
% 1.50/1.75    Following clause subsumed by 294 during input processing: 0 [] {-} -class_Lattices_Osemilattice__sup(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(A),B),C)),D))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),C),D)).
% 1.50/1.75    Following clause subsumed by 199 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool)),B),hAPP(hAPP(c_Set_Oinsert(A),C),D)))|hBOOL(hAPP(hAPP(c_member(A),C),B))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool)),B),D)).
% 1.50/1.75    Following clause subsumed by 200 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool)),B),hAPP(hAPP(c_Set_Oinsert(A),C),D)))|hBOOL(hAPP(hAPP(c_member(A),C),B))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool)),B),D)).
% 1.50/1.75    Following clause subsumed by 306 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool)),B),hAPP(hAPP(c_Set_Oinsert(A),C),D)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool)),B),hAPP(hAPP(c_Set_Oinsert(A),C),c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool))))),D))| -hBOOL(hAPP(hAPP(c_member(A),C),B)).
% 1.50/1.75    Following clause subsumed by 222 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool)),B),hAPP(hAPP(c_Set_Oinsert(A),C),D)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool)),B),hAPP(hAPP(c_Set_Oinsert(A),C),c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool))))),D))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool)),B),D)).
% 1.50/1.75    Following clause subsumed by 324 during input processing: 0 [] {-} -class_Lattices_Osemilattice__inf(A)|hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(A),B),B)=B.
% 1.50/1.75    Following clause subsumed by 327 during input processing: 0 [] {-} -class_Lattices_Osemilattice__inf(A)|hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(A),B),C)=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(A),C),B).
% 1.50/1.75    Following clause subsumed by 329 during input processing: 0 [] {-} -class_Lattices_Osemilattice__inf(A)|hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(A),B),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(A),B),C))=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(A),B),C).
% 1.50/1.75    Following clause subsumed by 331 during input processing: 0 [] {-} -class_Lattices_Osemilattice__inf(A)|hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(A),B),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(A),C),D))=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(A),C),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(A),B),D)).
% 1.50/1.75    Following clause subsumed by 333 during input processing: 0 [] {-} -class_Lattices_Osemilattice__inf(A)|hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(A),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(A),B),C)),D)=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(A),B),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(A),C),D)).
% 1.50/1.75    Following clause subsumed by 325 during input processing: 0 [] {-} -class_Groups_Ominus(A)|hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(B,A)),C),D),E)=hAPP(hAPP(c_Groups_Ominus__class_Ominus(A),hAPP(C,E)),hAPP(D,E)).
% 1.50/1.75    Following clause subsumed by 326 during input processing: 0 [] {-} -class_Lattices_Olattice(A)|hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(B,A)),C),D),E)=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(A),hAPP(C,E)),hAPP(D,E)).
% 1.50/1.75    Following clause subsumed by 316 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(A,tc_HOL_Obool)),B),C),D))|hBOOL(hAPP(B,D)).
% 1.50/1.75    Following clause subsumed by 317 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(A,tc_HOL_Obool)),B),C),D))|hBOOL(hAPP(C,D)).
% 1.50/1.75    Following clause subsumed by 338 during input processing: 0 [] {-} -class_Enum_Oenum(A)| -hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(A),B))|hBOOL(hAPP(B,C)).
% 1.50/1.75    Following clause subsumed by 343 during input processing: 0 [] {-} -class_Lattices_Osemilattice__inf(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),C))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),D))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(A),C),D))).
% 1.50/1.75    Following clause subsumed by 340 during input processing: 0 [] {-} -class_Lattices_Osemilattice__inf(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(A),C),D)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),C)).
% 1.50/1.76    Following clause subsumed by 341 during input processing: 0 [] {-} -class_Lattices_Osemilattice__inf(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(A),C),D)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),D)).
% 1.50/1.76    Following clause subsumed by 343 during input processing: 0 [] {-} -class_Lattices_Osemilattice__inf(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(A),C),D)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),C))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),D)).
% 1.50/1.76    Following clause subsumed by 345 during input processing: 0 [] {-} -class_Lattices_Osemilattice__inf(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),C))|hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(A),B),C)=B.
% 1.50/1.76    Following clause subsumed by 322 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(A),B),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool)),C),D)))|hBOOL(hAPP(hAPP(c_member(A),B),C)).
% 1.50/1.76    Following clause subsumed by 323 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(A),B),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool)),C),D)))| -hBOOL(hAPP(hAPP(c_member(A),B),D)).
% 1.50/1.76    Following clause subsumed by 321 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_member(A),B),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool)),C),D)))| -hBOOL(hAPP(hAPP(c_member(A),B),C))|hBOOL(hAPP(hAPP(c_member(A),B),D)).
% 1.50/1.76    Following clause subsumed by 322 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(A),B),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool)),C),D)))|hBOOL(hAPP(hAPP(c_member(A),B),C)).
% 1.50/1.76    Following clause subsumed by 323 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(A),B),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool)),C),D)))| -hBOOL(hAPP(hAPP(c_member(A),B),D)).
% 1.50/1.76    Following clause subsumed by 319 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(A),B),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(A,tc_HOL_Obool)),C),D)))|hBOOL(hAPP(hAPP(c_member(A),B),C)).
% 1.50/1.76    Following clause subsumed by 320 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(A),B),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(A,tc_HOL_Obool)),C),D)))|hBOOL(hAPP(hAPP(c_member(A),B),D)).
% 1.50/1.76    Following clause subsumed by 318 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_member(A),B),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(A,tc_HOL_Obool)),C),D)))| -hBOOL(hAPP(hAPP(c_member(A),B),C))| -hBOOL(hAPP(hAPP(c_member(A),B),D)).
% 1.50/1.76    Following clause subsumed by 319 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(A),B),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(A,tc_HOL_Obool)),C),D)))|hBOOL(hAPP(hAPP(c_member(A),B),C)).
% 1.50/1.76    Following clause subsumed by 320 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(A),B),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(A,tc_HOL_Obool)),C),D)))|hBOOL(hAPP(hAPP(c_member(A),B),D)).
% 1.50/1.76    Following clause subsumed by 374 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(A),B),C))|hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(A),B),D)),C)=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool)),D),C).
% 1.50/1.76    Following clause subsumed by 375 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(A),B),C))|hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(A,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(A),B),D)),C)=hAPP(hAPP(c_Set_Oinsert(A),B),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(A,tc_HOL_Obool)),D),C)).
% 1.50/1.76    Following clause subsumed by 376 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(A),B),C))|hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(A,tc_HOL_Obool)),C),hAPP(hAPP(c_Set_Oinsert(A),B),D))=hAPP(hAPP(c_Set_Oinsert(A),B),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(A,tc_HOL_Obool)),C),D)).
% 1.50/1.76    Following clause subsumed by 319 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(A),B),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(A,tc_HOL_Obool)),C),hAPP(c_Set_OCollect(A),D))))|hBOOL(hAPP(hAPP(c_member(A),B),C)).
% 1.50/1.76    Following clause subsumed by 410 during input processing: 0 [] {-} hAPP(hAPP(hAPP(c_Fun_Ofun__upd(A,B),C),D),E)=C|hAPP(C,D)!=E.
% 1.50/1.76    Following clause subsumed by 416 during input processing: 0 [] {-} -class_Orderings_Opreorder(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),C))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),C),B)).
% 1.50/1.76    Following clause subsumed by 416 during input processing: 0 [] {-} -class_Orderings_Opreorder(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),C))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),C),B)).
% 1.50/1.76    Following clause subsumed by 416 during input processing: 0 [] {-} -class_Orderings_Opreorder(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),C))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),C),B)).
% 1.50/1.76    Following clause subsumed by 426 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),C))|B!=C.
% 1.50/1.76    Following clause subsumed by 415 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|B=C|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),C))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),C),B)).
% 1.50/1.76    Following clause subsumed by 415 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),C))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),C),B))|C=B.
% 1.50/1.76    Following clause subsumed by 415 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),C))|B=C|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),C),B)).
% 1.50/1.76    Following clause subsumed by 415 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),C))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),C),B))|B=C.
% 1.50/1.76    Following clause subsumed by 415 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|B=C|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),C))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),C),B)).
% 1.50/1.76    Following clause subsumed by 429 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|B!=C| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),C)).
% 1.50/1.76    Following clause subsumed by 411 during input processing: 0 [] {-} A!=B|hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(C,D),E),B),F),A)=F.
% 1.50/1.76    Following clause subsumed by 413 during input processing: 0 [] {-} -c_Fun_Oinj__on(A,B,C,D)|hAPP(C,E)!=hAPP(C,F)| -hBOOL(hAPP(hAPP(c_member(A),E),D))| -hBOOL(hAPP(hAPP(c_member(A),F),D))|E=F.
% 1.50/1.76    Following clause subsumed by 413 during input processing: 0 [] {-} -c_Fun_Oinj__on(A,B,C,D)| -hBOOL(hAPP(hAPP(c_member(A),E),D))| -hBOOL(hAPP(hAPP(c_member(A),F),D))|hAPP(C,E)!=hAPP(C,F)|E=F.
% 1.50/1.76    Following clause subsumed by 413 during input processing: 0 [] {-} -c_Fun_Oinj__on(A,B,C,D)|E=F| -hBOOL(hAPP(hAPP(c_member(A),E),D))| -hBOOL(hAPP(hAPP(c_member(A),F),D))|hAPP(C,E)!=hAPP(C,F).
% 1.50/1.76    Following clause subsumed by 451 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),C))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),C))|B=C.
% 1.50/1.76    Following clause subsumed by 429 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),C))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),C))|B!=C.
% 1.50/1.76    Following clause subsumed by 450 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),C),B))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),C),B)).
% 1.50/1.76    Following clause subsumed by 451 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),C))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),C)).
% 1.50/1.76    Following clause subsumed by 452 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),C))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),C))|B=C.
% 1.50/1.76    Following clause subsumed by 456 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),C))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),C),B)).
% 1.50/1.76    Following clause subsumed by 451 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),C))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),C))|B=C.
% 1.50/1.76    Following clause subsumed by 157 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),C))|B!=C.
% 1.50/1.76    Following clause subsumed by 453 during input processing: 0 [] {-} -class_Orderings_Opreorder(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),C))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),C)).
% 1.50/1.76    Following clause subsumed by 457 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),C))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),C)).
% 1.50/1.76    Following clause subsumed by 426 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),C))|B!=C.
% 1.50/1.76    Following clause subsumed by 451 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),C))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),C))|B=C.
% 1.50/1.76    Following clause subsumed by 456 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),C))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),C),B)).
% 1.50/1.76    Following clause subsumed by 456 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),C))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),C),B)).
% 1.50/1.76    Following clause subsumed by 454 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),C))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),C),B)).
% 1.50/1.76    Following clause subsumed by 456 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),C))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),C),B)).
% 1.50/1.76    Following clause subsumed by 454 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),C))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),C),B)).
% 1.50/1.76    Following clause subsumed by 468 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool)),B),C))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(A,tc_HOL_Obool)),B),C)).
% 1.50/1.76    Following clause subsumed by 155 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool)),B),C))|B!=C.
% 1.50/1.76    Following clause subsumed by 468 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(A,tc_HOL_Obool)),B),C))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool)),B),C)).
% 1.50/1.76    Following clause subsumed by 469 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(A,tc_HOL_Obool)),B),C))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool)),B),C))|B=C.
% 1.50/1.76    Following clause subsumed by 474 during input processing: 0 [] {-} -c_Fun_Oinj__on(A,B,C,D)| -c_Fun_Oinj__on(B,E,F,hAPP(c_Set_Oimage(A,B,C),D))|c_Fun_Oinj__on(A,E,hAPP(c_Fun_Ocomp(B,E,A,F),C),D).
% 1.50/1.76    Following clause subsumed by 473 during input processing: 0 [] {-} -c_Fun_Oinj__on(A,B,C,D)|c_Fun_Oinj__on(B,E,F,hAPP(c_Set_Oimage(A,B,C),D))| -c_Fun_Oinj__on(A,E,hAPP(c_Fun_Ocomp(B,E,A,F),C),D).
% 1.50/1.76    Following clause subsumed by 514 during input processing: 0 [] {-} -class_Enum_Oenum(A)|hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(A),B))| -hBOOL(hAPP(B,C)).
% 1.50/1.76    Following clause subsumed by 517 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),B))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),A),B)).
% 1.58/1.77    Following clause subsumed by 519 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),A),B))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),B))|A=B.
% 1.58/1.77    Following clause subsumed by 517 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),A),B))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),B)).
% 1.58/1.77    Following clause subsumed by 518 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),A),B))|A!=B.
% 1.58/1.77    Following clause subsumed by 517 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),B))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),A),B)).
% 1.58/1.77    Following clause subsumed by 519 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),B))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),A),B))|A=B.
% 1.58/1.77    Following clause subsumed by 521 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),A),B))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),A),C))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),B),A)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),C),A)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B),C)).
% 1.58/1.77    Following clause subsumed by 517 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),B))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),A),B)).
% 1.58/1.77    Following clause subsumed by 518 during input processing: 0 [] {-} A!=B|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),A),B)).
% 1.58/1.77    Following clause subsumed by 520 during input processing: 0 [] {-} A!=B| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),B)).
% 1.58/1.77    Following clause subsumed by 552 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),A)).
% 1.58/1.77    Following clause subsumed by 553 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),B))|B!=A.
% 1.58/1.77    Following clause subsumed by 520 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),B))|A!=B.
% 1.58/1.77    Following clause subsumed by 574 during input processing: 0 [] {-} -class_Finite__Set_Ofinite(A)|hBOOL(hAPP(c_Finite__Set_Ofinite(A),B)).
% 1.58/1.77    Following clause subsumed by 572 during input processing: 0 [] {-} hBOOL(hAPP(c_Finite__Set_Ofinite(A),hAPP(hAPP(c_Set_Oinsert(A),B),C)))| -hBOOL(hAPP(c_Finite__Set_Ofinite(A),C)).
% 1.58/1.77    Following clause subsumed by 580 during input processing: 0 [] {-} -hBOOL(hAPP(c_Finite__Set_Ofinite(A),B))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool)),C),B))|hBOOL(hAPP(c_Finite__Set_Ofinite(A),C)).
% 1.58/1.77    Following clause subsumed by 581 during input processing: 0 [] {-} hBOOL(hAPP(c_Finite__Set_Ofinite(A),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool)),B),C)))| -hBOOL(hAPP(c_Finite__Set_Ofinite(A),B))| -hBOOL(hAPP(c_Finite__Set_Ofinite(A),C)).
% 1.58/1.77    Following clause subsumed by 568 during input processing: 0 [] {-} -hBOOL(hAPP(c_Finite__Set_Ofinite(A),B))|hBOOL(hAPP(c_Finite__Set_Ofinite(A),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool)),C),B)))| -hBOOL(hAPP(c_Finite__Set_Ofinite(A),C)).
% 1.58/1.77    Following clause subsumed by 666 during input processing: 0 [] {-} -class_Lattices_Olattice(A)| -hBOOL(hAPP(c_Finite__Set_Ofinite(A),B))|hBOOL(hAPP(hAPP(c_member(A),C),B))|B=c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool))|c_Big__Operators_Olattice__class_OSup__fin(A,hAPP(hAPP(c_Set_Oinsert(A),C),B))=hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(A),C),c_Big__Operators_Olattice__class_OSup__fin(A,B)).
% 1.59/1.78    Following clause subsumed by 667 during input processing: 0 [] {-} -class_Lattices_Olattice(A)| -hBOOL(hAPP(c_Finite__Set_Ofinite(A),B))|hBOOL(hAPP(hAPP(c_member(A),C),B))|B=c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool))|c_Big__Operators_Olattice__class_OInf__fin(A,hAPP(hAPP(c_Set_Oinsert(A),C),B))=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(A),C),c_Big__Operators_Olattice__class_OInf__fin(A,B)).
% 1.59/1.78    Following clause subsumed by 670 during input processing: 0 [] {-} -class_Lattices_Olattice(A)| -hBOOL(hAPP(c_Finite__Set_Ofinite(A),B))|B=c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool))| -hBOOL(hAPP(c_Finite__Set_Ofinite(A),C))|C=c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool))|hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(A,tc_HOL_Obool)),B),C)!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool))|c_Big__Operators_Olattice__class_OSup__fin(A,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool)),B),C))=hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(A),c_Big__Operators_Olattice__class_OSup__fin(A,B)),c_Big__Operators_Olattice__class_OSup__fin(A,C)).
% 1.59/1.78    Following clause subsumed by 671 during input processing: 0 [] {-} -class_Lattices_Olattice(A)| -hBOOL(hAPP(c_Finite__Set_Ofinite(A),B))|B=c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool))| -hBOOL(hAPP(c_Finite__Set_Ofinite(A),C))|C=c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool))|hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(A,tc_HOL_Obool)),B),C)!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool))|c_Big__Operators_Olattice__class_OInf__fin(A,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool)),B),C))=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(A),c_Big__Operators_Olattice__class_OInf__fin(A,B)),c_Big__Operators_Olattice__class_OInf__fin(A,C)).
% 1.59/1.78    Following clause subsumed by 585 during input processing: 0 [] {-} hBOOL(hAPP(c_Finite__Set_Ofinite(A),B))|B!=hAPP(c_Set_Oimage(tc_Nat_Onat,A,C),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),D))).
% 1.59/1.78    Following clause subsumed by 720 during input processing: 0 [] {-} -class_Groups_Ocancel__semigroup__add(A)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),C)!=hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),D)|C=D.
% 1.59/1.78    Following clause subsumed by 722 during input processing: 0 [] {-} -class_Groups_Ocancel__semigroup__add(A)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),C)!=hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),D),C)|B=D.
% 1.59/1.78    Following clause subsumed by 726 during input processing: 0 [] {-} -class_Groups_Oordered__ab__semigroup__add__imp__le(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),C)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),D)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),C),D)).
% 1.59/1.78    Following clause subsumed by 727 during input processing: 0 [] {-} -class_Groups_Oordered__ab__semigroup__add__imp__le(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),C)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),D),C)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),D)).
% 1.59/1.78    Following clause subsumed by 733 during input processing: 0 [] {-} -class_Groups_Oordered__ab__semigroup__add__imp__le(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),C)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),D)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),C),D)).
% 1.59/1.78    Following clause subsumed by 734 during input processing: 0 [] {-} -class_Groups_Oordered__ab__semigroup__add__imp__le(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),C)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),D),C)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),D)).
% 1.59/1.78    Following clause subsumed by 747 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),B))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B),C))).
% 1.59/1.78    Following clause subsumed by 746 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),B))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),C),B))).
% 1.59/1.79    Following clause subsumed by 752 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),A),B)),C))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),A),C)).
% 1.59/1.79    Following clause subsumed by 753 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),A),B)),C))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B),C)).
% 1.59/1.79    Following clause subsumed by 757 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),A),B))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B),C))).
% 1.59/1.79    Following clause subsumed by 756 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),A),B))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),C),B))).
% 1.59/1.79    Following clause subsumed by 775 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),A),B))|hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),C),B)),A)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),C),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),B),A)).
% 1.59/1.79    Following clause subsumed by 763 during input processing: 0 [] {-} -class_Groups_Ocomm__monoid__add(A)| -hBOOL(hAPP(c_Finite__Set_Ofinite(B),C))|hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(B,A),hAPP(hAPP(c_COMBS(B,A,A),hAPP(hAPP(c_COMBB(A,tc_fun(A,A),B),c_Groups_Oplus__class_Oplus(A)),D)),E)),C)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(B,A),D),C)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(B,A),E),C)).
% 1.59/1.79    Following clause subsumed by 554 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(A),B),C))|hAPP(c_Map_Orestrict__map(A,D,E,C),B)=hAPP(E,B).
% 1.59/1.79    Following clause subsumed by 786 during input processing: 0 [] {-} -class_Groups_Ocomm__monoid__add(A)| -hBOOL(hAPP(c_Finite__Set_Ofinite(B),C))|hBOOL(hAPP(hAPP(c_member(B),D),C))|hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(B,A),E),hAPP(hAPP(c_Set_Oinsert(B),D),C))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),hAPP(E,D)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(B,A),E),C)).
% 1.59/1.79    Following clause subsumed by 718 during input processing: 0 [flip.4] {-} -class_Groups_Ocomm__monoid__add(A)| -hBOOL(hAPP(c_Finite__Set_Ofinite(B),C))| -hBOOL(hAPP(hAPP(c_member(B),D),C))|hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),hAPP(E,D)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(B,A),E),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(B,tc_HOL_Obool)),C),hAPP(hAPP(c_Set_Oinsert(B),D),c_Orderings_Obot__class_Obot(tc_fun(B,tc_HOL_Obool))))))=hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(B,A),E),C).
% 1.59/1.79    Following clause subsumed by 827 during input processing: 0 [] {-} -hBOOL(hAPP(c_Finite__Set_Ofinite(A),B))| -hBOOL(hAPP(c_Finite__Set_Ofinite(A),C))|hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(A),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool)),B),C))),hAPP(c_Finite__Set_Ocard(A),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(A,tc_HOL_Obool)),B),C)))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(A),B)),hAPP(c_Finite__Set_Ocard(A),C)).
% 1.59/1.79    Following clause subsumed by 816 during input processing: 0 [] {-} -hBOOL(hAPP(c_Finite__Set_Ofinite(A),B))| -c_Fun_Oinj__on(A,C,D,B)|hAPP(c_Finite__Set_Ocard(C),hAPP(c_Set_Oimage(A,C,D),B))=hAPP(c_Finite__Set_Ocard(A),B).
% 1.59/1.79    Following clause subsumed by 828 during input processing: 0 [] {-} -hBOOL(hAPP(c_Finite__Set_Ofinite(A),B))|c_Fun_Oinj__on(A,C,D,B)|hAPP(c_Finite__Set_Ocard(C),hAPP(c_Set_Oimage(A,C,D),B))!=hAPP(c_Finite__Set_Ocard(A),B).
% 1.59/1.79    Following clause subsumed by 852 during input processing: 0 [] {-} -hBOOL(hAPP(c_Finite__Set_Ofinite(A),B))| -hBOOL(hAPP(hAPP(c_member(A),C),B))|hAPP(c_Finite__Set_Ocard(A),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool)),B),hAPP(hAPP(c_Set_Oinsert(A),C),c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool)))))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(A),B)),c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 1.59/1.79    Following clause subsumed by 865 during input processing: 0 [] {-} hAPP(c_Nat_OSuc,A)!=A.
% 1.59/1.79    Following clause subsumed by 866 during input processing: 0 [] {-} hAPP(c_Nat_OSuc,A)!=hAPP(c_Nat_OSuc,B)|A=B.
% 1.59/1.79    Following clause subsumed by 870 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),B))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),hAPP(c_Nat_OSuc,B)))|A=B.
% 1.59/1.79    Following clause subsumed by 868 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,A)),hAPP(c_Nat_OSuc,B)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),B)).
% 1.59/1.79    Following clause subsumed by 861 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,A)),hAPP(c_Nat_OSuc,B)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),B)).
% 1.59/1.79    Following clause subsumed by 870 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),hAPP(c_Nat_OSuc,B)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),B))|A=B.
% 1.59/1.79    Following clause subsumed by 873 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),hAPP(c_Nat_OSuc,B)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),B)).
% 1.59/1.79    Following clause subsumed by 879 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),A),hAPP(c_Nat_OSuc,B)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),A),B))|A=hAPP(c_Nat_OSuc,B).
% 1.59/1.79    Following clause subsumed by 880 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),A),hAPP(c_Nat_OSuc,B)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),A),B)).
% 1.59/1.79    Following clause subsumed by 518 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),A),hAPP(c_Nat_OSuc,B)))|A!=hAPP(c_Nat_OSuc,B).
% 1.59/1.79    Following clause subsumed by 876 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),A),B))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B),hAPP(c_Nat_OSuc,A)))|B!=A.
% 1.59/1.79    Following clause subsumed by 890 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,A)),B))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),B)).
% 1.59/1.79    Following clause subsumed by 892 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,A)),B))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),B)).
% 1.59/1.79    Following clause subsumed by 893 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),hAPP(c_Nat_OSuc,B)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),A),B)).
% 1.59/1.79    Following clause subsumed by 892 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),B))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,A)),B)).
% 1.59/1.79    Following clause subsumed by 890 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),B))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,A)),B)).
% 1.59/1.79    Following clause subsumed by 898 during input processing: 0 [] {-} -hBOOL(hAPP(c_Finite__Set_Ofinite(A),B))|hBOOL(hAPP(hAPP(c_member(A),C),B))|hAPP(c_Finite__Set_Ocard(A),hAPP(hAPP(c_Set_Oinsert(A),C),B))=hAPP(c_Nat_OSuc,hAPP(c_Finite__Set_Ocard(A),B)).
% 1.59/1.80    Following clause subsumed by 851 during input processing: 0 [] {-} -c_Big__Operators_Ocomm__monoid__big(A,B,C,D,E)|hBOOL(hAPP(c_Finite__Set_Ofinite(B),F))|hAPP(hAPP(E,G),F)=D.
% 1.59/1.80    Following clause subsumed by 916 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hAPP(hAPP(c_Orderings_Oord__class_Omin(A),hAPP(hAPP(c_Orderings_Oord__class_Omin(A),B),C)),D)=hAPP(hAPP(c_Orderings_Oord__class_Omin(A),B),hAPP(hAPP(c_Orderings_Oord__class_Omin(A),C),D)).
% 1.59/1.80    Following clause subsumed by 917 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hAPP(hAPP(c_Orderings_Oord__class_Omax(A),hAPP(hAPP(c_Orderings_Oord__class_Omax(A),B),C)),D)=hAPP(hAPP(c_Orderings_Oord__class_Omax(A),B),hAPP(hAPP(c_Orderings_Oord__class_Omax(A),C),D)).
% 1.59/1.80    Following clause subsumed by 922 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hAPP(hAPP(c_Orderings_Oord__class_Omin(A),B),hAPP(hAPP(c_Orderings_Oord__class_Omin(A),C),D))=hAPP(hAPP(c_Orderings_Oord__class_Omin(A),C),hAPP(hAPP(c_Orderings_Oord__class_Omin(A),B),D)).
% 1.59/1.80    Following clause subsumed by 923 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hAPP(hAPP(c_Orderings_Oord__class_Omax(A),B),hAPP(hAPP(c_Orderings_Oord__class_Omax(A),C),D))=hAPP(hAPP(c_Orderings_Oord__class_Omax(A),C),hAPP(hAPP(c_Orderings_Oord__class_Omax(A),B),D)).
% 1.59/1.80    Following clause subsumed by 925 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hAPP(hAPP(c_Orderings_Oord__class_Omin(A),B),hAPP(hAPP(c_Orderings_Oord__class_Omin(A),B),C))=hAPP(hAPP(c_Orderings_Oord__class_Omin(A),B),C).
% 1.59/1.80    Following clause subsumed by 926 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hAPP(hAPP(c_Orderings_Oord__class_Omax(A),B),hAPP(hAPP(c_Orderings_Oord__class_Omax(A),B),C))=hAPP(hAPP(c_Orderings_Oord__class_Omax(A),B),C).
% 1.59/1.80    Following clause subsumed by 929 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hAPP(hAPP(c_Orderings_Oord__class_Omin(A),B),C)=hAPP(hAPP(c_Orderings_Oord__class_Omin(A),C),B).
% 1.59/1.80    Following clause subsumed by 930 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hAPP(hAPP(c_Orderings_Oord__class_Omax(A),B),C)=hAPP(hAPP(c_Orderings_Oord__class_Omax(A),C),B).
% 1.59/1.80    Following clause subsumed by 931 during input processing: 0 [] {-} -class_Lattices_Oab__semigroup__idem__mult(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),B)=B.
% 1.59/1.80    Following clause subsumed by 912 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hAPP(hAPP(c_Orderings_Oord__class_Omin(A),B),B)=B.
% 1.59/1.80    Following clause subsumed by 913 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hAPP(hAPP(c_Orderings_Oord__class_Omax(A),B),B)=B.
% 1.59/1.80    Following clause subsumed by 938 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),C))|hAPP(hAPP(c_Orderings_Oord__class_Omax(A),B),C)=C.
% 1.59/1.80    Following clause subsumed by 942 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),C))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),D),C))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(hAPP(c_Orderings_Oord__class_Omax(A),B),D)),C)).
% 1.59/1.80    Following clause subsumed by 942 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),C))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),D),C))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(hAPP(c_Orderings_Oord__class_Omax(A),B),D)),C)).
% 1.59/1.80    Following clause subsumed by 940 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(hAPP(c_Orderings_Oord__class_Omax(A),B),C)),D))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),D)).
% 1.59/1.80    Following clause subsumed by 941 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(hAPP(c_Orderings_Oord__class_Omax(A),B),C)),D))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),C),D)).
% 1.59/1.80    Following clause subsumed by 943 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),hAPP(hAPP(c_Orderings_Oord__class_Omax(A),C),D)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),C)).
% 1.59/1.80    Following clause subsumed by 944 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),hAPP(hAPP(c_Orderings_Oord__class_Omax(A),C),D)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),D)).
% 1.59/1.80    Following clause subsumed by 950 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),C))|hAPP(hAPP(c_Orderings_Oord__class_Omin(A),B),C)=B.
% 1.59/1.80    Following clause subsumed by 954 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),C))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),D))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),hAPP(hAPP(c_Orderings_Oord__class_Omin(A),C),D))).
% 1.59/1.80    Following clause subsumed by 954 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),C))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),D))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),hAPP(hAPP(c_Orderings_Oord__class_Omin(A),C),D))).
% 1.59/1.80    Following clause subsumed by 952 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),hAPP(hAPP(c_Orderings_Oord__class_Omin(A),C),D)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),C)).
% 1.59/1.80    Following clause subsumed by 953 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),hAPP(hAPP(c_Orderings_Oord__class_Omin(A),C),D)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),D)).
% 1.59/1.80    Following clause subsumed by 955 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(hAPP(c_Orderings_Oord__class_Omin(A),B),C)),D))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),D)).
% 1.59/1.80    Following clause subsumed by 956 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(hAPP(c_Orderings_Oord__class_Omin(A),B),C)),D))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),C),D)).
% 1.59/1.80    Following clause subsumed by 965 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),C))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),hAPP(hAPP(c_Orderings_Oord__class_Omax(A),D),C))).
% 1.59/1.80    Following clause subsumed by 964 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),C))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),hAPP(hAPP(c_Orderings_Oord__class_Omax(A),C),D))).
% 1.59/1.80    Following clause subsumed by 968 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),C))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(hAPP(c_Orderings_Oord__class_Omin(A),D),B)),C)).
% 1.59/1.80    Following clause subsumed by 967 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),C))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(hAPP(c_Orderings_Oord__class_Omin(A),B),D)),C)).
% 1.59/1.80    Following clause subsumed by 989 during input processing: 0 [flip.1] {-} hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B)!=c_Groups_Oone__class_Oone(tc_Nat_Onat)|A=c_Groups_Oone__class_Oone(tc_Nat_Onat).
% 1.59/1.80    Following clause subsumed by 990 during input processing: 0 [flip.1] {-} hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B)!=c_Groups_Oone__class_Oone(tc_Nat_Onat)|B=c_Groups_Oone__class_Oone(tc_Nat_Onat).
% 1.59/1.80    Following clause subsumed by 991 during input processing: 0 [flip.1] {-} hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B)=c_Groups_Oone__class_Oone(tc_Nat_Onat)|A!=c_Groups_Oone__class_Oone(tc_Nat_Onat)|B!=c_Groups_Oone__class_Oone(tc_Nat_Onat).
% 1.59/1.81    Following clause subsumed by 987 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,A)),B)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,A)),C)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B),C)).
% 1.59/1.81    Following clause subsumed by 1019 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -hBOOL(hAPP(c_Finite__Set_Ofinite(A),B))|hBOOL(hAPP(hAPP(c_member(A),C),B))|B=c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool))|c_Big__Operators_Olinorder__class_OMax(A,hAPP(hAPP(c_Set_Oinsert(A),C),B))=hAPP(hAPP(c_Orderings_Oord__class_Omax(A),C),c_Big__Operators_Olinorder__class_OMax(A,B)).
% 1.59/1.81    Following clause subsumed by 1020 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -hBOOL(hAPP(c_Finite__Set_Ofinite(A),B))|hBOOL(hAPP(hAPP(c_member(A),C),B))|B=c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool))|c_Big__Operators_Olinorder__class_OMin(A,hAPP(hAPP(c_Set_Oinsert(A),C),B))=hAPP(hAPP(c_Orderings_Oord__class_Omin(A),C),c_Big__Operators_Olinorder__class_OMin(A,B)).
% 1.59/1.81    Following clause subsumed by 1024 during input processing: 0 [flip.7] {-} -class_Orderings_Olinorder(A)| -hBOOL(hAPP(c_Finite__Set_Ofinite(A),B))|B=c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool))| -hBOOL(hAPP(c_Finite__Set_Ofinite(A),C))|C=c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool))|hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(A,tc_HOL_Obool)),B),C)!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool))|hAPP(hAPP(c_Orderings_Oord__class_Omax(A),c_Big__Operators_Olinorder__class_OMax(A,B)),c_Big__Operators_Olinorder__class_OMax(A,C))=c_Big__Operators_Olinorder__class_OMax(A,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool)),B),C)).
% 1.59/1.81    Following clause subsumed by 1026 during input processing: 0 [flip.7] {-} -class_Orderings_Olinorder(A)| -hBOOL(hAPP(c_Finite__Set_Ofinite(A),B))|B=c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool))| -hBOOL(hAPP(c_Finite__Set_Ofinite(A),C))|C=c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool))|hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(A,tc_HOL_Obool)),B),C)!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool))|hAPP(hAPP(c_Orderings_Oord__class_Omin(A),c_Big__Operators_Olinorder__class_OMin(A,B)),c_Big__Operators_Olinorder__class_OMin(A,C))=c_Big__Operators_Olinorder__class_OMin(A,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool)),B),C)).
% 1.59/1.81    Following clause subsumed by 1064 during input processing: 0 [] {-} -class_Rings_Ocomm__semiring__1(A)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),C)),D)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),C),D)).
% 1.59/1.81    Following clause subsumed by 1070 during input processing: 0 [] {-} -class_Rings_Ocomm__semiring__1(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)),D)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),D)).
% 1.59/1.81    Following clause subsumed by 1070 during input processing: 0 [] {-} -class_Rings_Ocomm__semiring__1(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),E))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),E))).
% 1.59/1.81    Following clause subsumed by 1068 during input processing: 0 [] {-} -class_Rings_Ocomm__semiring__1(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),E))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)),E)).
% 1.59/1.81    Following clause subsumed by 1075 during input processing: 0 [] {-} -class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(A)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),E))!=hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),E)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),C))|B=D|C=E.
% 1.59/1.81    Following clause subsumed by 1076 during input processing: 0 [] {-} -class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(A)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),E))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),E)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),C))|B!=D.
% 1.59/1.81    Following clause subsumed by 1077 during input processing: 0 [] {-} -class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(A)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),E))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),E)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),C))|C!=E.
% 1.59/1.81    Following clause subsumed by 835 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -hBOOL(hAPP(c_Finite__Set_Ofinite(A),B))|B=c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool))| -hBOOL(hAPP(hAPP(c_member(A),hAPP(hAPP(c_Orderings_Oord__class_Omax(A),$f94(B,A)),$f93(B,A))),hAPP(hAPP(c_Set_Oinsert(A),$f94(B,A)),hAPP(hAPP(c_Set_Oinsert(A),$f93(B,A)),c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool))))))|hBOOL(hAPP(hAPP(c_member(A),c_Big__Operators_Olinorder__class_OMax(A,B)),B)).
% 1.59/1.81    Following clause subsumed by 1099 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -hBOOL(hAPP(c_Finite__Set_Ofinite(A),B))|hBOOL(hAPP(hAPP(c_member(A),C),B))|B=c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool))|c_Big__Operators_Olattice_OInf__fin(A,c_Orderings_Oord__class_Omin(A),hAPP(hAPP(c_Set_Oinsert(A),C),B))=hAPP(hAPP(c_Orderings_Oord__class_Omin(A),C),c_Big__Operators_Olattice_OInf__fin(A,c_Orderings_Oord__class_Omin(A),B)).
% 1.59/1.81    Following clause subsumed by 1100 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -hBOOL(hAPP(c_Finite__Set_Ofinite(A),B))|hBOOL(hAPP(hAPP(c_member(A),C),B))|B=c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool))|c_Big__Operators_Olattice_OSup__fin(A,c_Orderings_Oord__class_Omax(A),hAPP(hAPP(c_Set_Oinsert(A),C),B))=hAPP(hAPP(c_Orderings_Oord__class_Omax(A),C),c_Big__Operators_Olattice_OSup__fin(A,c_Orderings_Oord__class_Omax(A),B)).
% 1.59/1.81    Following clause subsumed by 1106 during input processing: 0 [flip.7] {-} -class_Orderings_Olinorder(A)| -hBOOL(hAPP(c_Finite__Set_Ofinite(A),B))|B=c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool))| -hBOOL(hAPP(c_Finite__Set_Ofinite(A),C))|C=c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool))|hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(A,tc_HOL_Obool)),B),C)!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool))|hAPP(hAPP(c_Orderings_Oord__class_Omin(A),c_Big__Operators_Olattice_OInf__fin(A,c_Orderings_Oord__class_Omin(A),B)),c_Big__Operators_Olattice_OInf__fin(A,c_Orderings_Oord__class_Omin(A),C))=c_Big__Operators_Olattice_OInf__fin(A,c_Orderings_Oord__class_Omin(A),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool)),B),C)).
% 1.59/1.81    Following clause subsumed by 1108 during input processing: 0 [flip.7] {-} -class_Orderings_Olinorder(A)| -hBOOL(hAPP(c_Finite__Set_Ofinite(A),B))|B=c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool))| -hBOOL(hAPP(c_Finite__Set_Ofinite(A),C))|C=c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool))|hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(A,tc_HOL_Obool)),B),C)!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool))|hAPP(hAPP(c_Orderings_Oord__class_Omax(A),c_Big__Operators_Olattice_OSup__fin(A,c_Orderings_Oord__class_Omax(A),B)),c_Big__Operators_Olattice_OSup__fin(A,c_Orderings_Oord__class_Omax(A),C))=c_Big__Operators_Olattice_OSup__fin(A,c_Orderings_Oord__class_Omax(A),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool)),B),C)).
% 1.64/1.83    Following clause subsumed by 834 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -hBOOL(hAPP(c_Finite__Set_Ofinite(A),B))|B=c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool))| -hBOOL(hAPP(hAPP(c_member(A),hAPP(hAPP(c_Orderings_Oord__class_Omin(A),$f100(B,A)),$f99(B,A))),hAPP(hAPP(c_Set_Oinsert(A),$f100(B,A)),hAPP(hAPP(c_Set_Oinsert(A),$f99(B,A)),c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool))))))|hBOOL(hAPP(hAPP(c_member(A),c_Big__Operators_Olinorder__class_OMin(A,B)),B)).
% 1.64/1.83    Following clause subsumed by 410 during input processing: 0 [] {-} hAPP(A,B)!=hAPP(c_Option_Ooption_OSome(C),D)|hAPP(hAPP(hAPP(c_Fun_Ofun__upd(E,tc_Option_Ooption(C)),A),B),hAPP(c_Option_Ooption_OSome(C),D))=A.
% 1.64/1.83    Following clause subsumed by 1198 during input processing: 0 [] {-} hAPP(c_Option_Ooption_OSome(A),B)!=c_Option_Ooption_ONone(A).
% 1.64/1.83    Following clause subsumed by 1199 during input processing: 0 [] {-} A!=c_Option_Ooption_ONone(B)|A!=hAPP(c_Option_Ooption_OSome(B),C).
% 1.64/1.83    Following clause subsumed by 1239 during input processing: 0 [] {-} -class_Groups_Ouminus(A)|hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(B,A)),C),D)=hAPP(c_Groups_Ouminus__class_Ouminus(A),hAPP(C,D)).
% 1.64/1.83    Following clause subsumed by 1243 during input processing: 0 [] {-} -class_Groups_Ogroup__add(A)|hAPP(c_Groups_Ouminus__class_Ouminus(A),B)=C|hAPP(c_Groups_Ouminus__class_Ouminus(A),C)!=B.
% 1.64/1.83    Following clause subsumed by 1248 during input processing: 0 [] {-} -class_Groups_Ogroup__add(A)|B=hAPP(c_Groups_Ouminus__class_Ouminus(A),C)|C!=hAPP(c_Groups_Ouminus__class_Ouminus(A),B).
% 1.64/1.83    Following clause subsumed by 1244 during input processing: 0 [flip.2] {-} -class_Groups_Olinordered__ab__group__add(A)|hAPP(c_Groups_Ouminus__class_Ouminus(A),B)!=B|B=c_Groups_Ozero__class_Ozero(A).
% 1.64/1.83    Following clause subsumed by 1245 during input processing: 0 [flip.2] {-} -class_Groups_Olinordered__ab__group__add(A)|hAPP(c_Groups_Ouminus__class_Ouminus(A),B)=B|B!=c_Groups_Ozero__class_Ozero(A).
% 1.64/1.83    Following clause subsumed by 1284 during input processing: 0 [] {-} -class_Groups_Oordered__ab__group__add(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),hAPP(c_Groups_Ouminus__class_Ouminus(A),C)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),C),hAPP(c_Groups_Ouminus__class_Ouminus(A),B))).
% 1.64/1.83    Following clause subsumed by 1285 during input processing: 0 [] {-} -class_Groups_Oordered__ab__group__add(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(c_Groups_Ouminus__class_Ouminus(A),B)),C))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(c_Groups_Ouminus__class_Ouminus(A),C)),B)).
% 1.64/1.83    Following clause subsumed by 1287 during input processing: 0 [] {-} -class_Groups_Oordered__ab__group__add(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),C))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(c_Groups_Ouminus__class_Ouminus(A),C)),hAPP(c_Groups_Ouminus__class_Ouminus(A),B))).
% 1.64/1.83    Following clause subsumed by 1289 during input processing: 0 [] {-} -class_Lattices_Oboolean__algebra(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),C))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(c_Groups_Ouminus__class_Ouminus(A),C)),hAPP(c_Groups_Ouminus__class_Ouminus(A),B))).
% 1.64/1.83    Following clause subsumed by 1290 during input processing: 0 [] {-} -class_Groups_Oordered__ab__group__add(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),hAPP(c_Groups_Ouminus__class_Ouminus(A),C)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),C),hAPP(c_Groups_Ouminus__class_Ouminus(A),B))).
% 1.64/1.83    Following clause subsumed by 1291 during input processing: 0 [] {-} -class_Groups_Oordered__ab__group__add(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(c_Groups_Ouminus__class_Ouminus(A),B)),C))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(c_Groups_Ouminus__class_Ouminus(A),C)),B)).
% 1.64/1.83    Following clause subsumed by 1307 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(A),B),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(A,tc_HOL_Obool)),C)))| -hBOOL(hAPP(hAPP(c_member(A),B),C)).
% 1.64/1.83    Following clause subsumed by 1307 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(A),B),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(A,tc_HOL_Obool)),C)))| -hBOOL(hAPP(hAPP(c_member(A),B),C)).
% 1.64/1.83    Following clause subsumed by 1309 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(A,tc_HOL_Obool)),B)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(A,tc_HOL_Obool)),C)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool)),C),B)).
% 1.64/1.83    Following clause subsumed by 1330 during input processing: 0 [] {-} -class_Rings_Ono__zero__divisors(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)!=c_Groups_Ozero__class_Ozero(A)|B=c_Groups_Ozero__class_Ozero(A)|C=c_Groups_Ozero__class_Ozero(A).
% 1.64/1.83    Following clause subsumed by 1337 during input processing: 0 [flip.2] {-} -class_Rings_Ozero__neq__one(A)|c_Groups_Ozero__class_Ozero(A)!=c_Groups_Oone__class_Oone(A).
% 1.64/1.83    Following clause subsumed by 1338 during input processing: 0 [] {-} hAPP(c_Nat_OSuc,A)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 1.64/1.83    Following clause subsumed by 1338 during input processing: 0 [] {-} hAPP(c_Nat_OSuc,A)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 1.64/1.83    Following clause subsumed by 1339 during input processing: 0 [] {-} c_Groups_Ozero__class_Ozero(tc_Nat_Onat)!=hAPP(c_Nat_OSuc,A).
% 1.64/1.83    Following clause subsumed by 1339 during input processing: 0 [] {-} c_Groups_Ozero__class_Ozero(tc_Nat_Onat)!=hAPP(c_Nat_OSuc,A).
% 1.64/1.83    Following clause subsumed by 1232 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 1.64/1.83    Following clause subsumed by 553 during input processing: 0 [] {-} A!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),A)).
% 1.64/1.83    Following clause subsumed by 1232 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 1.64/1.83    Following clause subsumed by 518 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),A),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))|A!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 1.64/1.83    Following clause subsumed by 1348 during input processing: 0 [] {-} hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B)!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),C)|B=C|A=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 1.64/1.83    Following clause subsumed by 1350 during input processing: 0 [] {-} hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),C)|B!=C.
% 1.64/1.83    Following clause subsumed by 1349 during input processing: 0 [] {-} hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),C)|A!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 1.64/1.83    Following clause subsumed by 1360 during input processing: 0 [] {-} -class_Groups_Ocomm__monoid__mult(A)|hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(B,A),C),c_Orderings_Obot__class_Obot(tc_fun(B,tc_HOL_Obool)))=c_Groups_Oone__class_Oone(A).
% 1.64/1.83    Following clause subsumed by 1361 during input processing: 0 [] {-} -class_Groups_Ocomm__monoid__mult(A)|hBOOL(hAPP(c_Finite__Set_Ofinite(B),C))|hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(B,A),D),C)=c_Groups_Oone__class_Oone(A).
% 1.64/1.83    Following clause subsumed by 1367 during input processing: 0 [] {-} -hBOOL(hAPP(c_Finite__Set_Ofinite(A),B))| -hBOOL(hAPP(c_Finite__Set_Ofinite(C),D))|hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(A,C)),c_Sum__Type_OPlus(A,C,B,D))).
% 1.64/1.83    Following clause subsumed by 1365 during input processing: 0 [] {-} -hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(A,B)),c_Sum__Type_OPlus(A,B,C,D)))|hBOOL(hAPP(c_Finite__Set_Ofinite(A),C)).
% 1.64/1.83    Following clause subsumed by 1366 during input processing: 0 [] {-} -hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(A,B)),c_Sum__Type_OPlus(A,B,C,D)))|hBOOL(hAPP(c_Finite__Set_Ofinite(B),D)).
% 1.64/1.84    Following clause subsumed by 1231 during input processing: 0 [] {-} -hBOOL(hAPP(c_Finite__Set_Ofinite(A),B))| -hBOOL(hAPP(c_Finite__Set_Ofinite(C),D))|hAPP(c_Finite__Set_Ocard(tc_sum(A,C)),c_Sum__Type_OPlus(A,C,B,D))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(A),B)),hAPP(c_Finite__Set_Ocard(C),D)).
% 1.64/1.84    Following clause subsumed by 1346 during input processing: 0 [] {-} -class_Groups_Ocomm__monoid__mult(A)| -hBOOL(hAPP(c_Finite__Set_Ofinite(B),C))|hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(B,A),hAPP(hAPP(c_COMBS(B,A,A),hAPP(hAPP(c_COMBB(A,tc_fun(A,A),B),c_Groups_Otimes__class_Otimes(A)),D)),E)),C)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(B,A),D),C)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(B,A),E),C)).
% 1.64/1.84    Following clause subsumed by 1406 during input processing: 0 [] {-} -class_Rings_Oordered__ring(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),c_Groups_Ozero__class_Ozero(A)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),C),c_Groups_Ozero__class_Ozero(A)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),c_Groups_Ozero__class_Ozero(A)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C))).
% 1.64/1.84    Following clause subsumed by 1404 during input processing: 0 [] {-} -class_Rings_Oordered__cancel__semiring(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),c_Groups_Ozero__class_Ozero(A)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),c_Groups_Ozero__class_Ozero(A)),C))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)),c_Groups_Ozero__class_Ozero(A))).
% 1.64/1.84    Following clause subsumed by 1404 during input processing: 0 [] {-} -class_Rings_Oordered__cancel__semiring(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),c_Groups_Ozero__class_Ozero(A)),B))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),C),c_Groups_Ozero__class_Ozero(A)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),B)),c_Groups_Ozero__class_Ozero(A))).
% 1.64/1.84    Following clause subsumed by 1403 during input processing: 0 [] {-} -class_Rings_Oordered__cancel__semiring(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),c_Groups_Ozero__class_Ozero(A)),B))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),C),c_Groups_Ozero__class_Ozero(A)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)),c_Groups_Ozero__class_Ozero(A))).
% 1.64/1.84    Following clause subsumed by 1435 during input processing: 0 [] {-} -class_Rings_Olinordered__ring__strict(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),c_Groups_Ozero__class_Ozero(A)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),D),C)).
% 1.64/1.84    Following clause subsumed by 1441 during input processing: 0 [] {-} -class_Rings_Olinordered__semiring__strict(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),B))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),C),c_Groups_Ozero__class_Ozero(A)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),B)),c_Groups_Ozero__class_Ozero(A))).
% 1.64/1.84    Following clause subsumed by 1448 during input processing: 0 [] {-} -class_Rings_Olinordered__ring__strict(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),B))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),C),D)).
% 1.64/1.84    Following clause subsumed by 1435 during input processing: 0 [] {-} -class_Rings_Olinordered__ring__strict(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),c_Groups_Ozero__class_Ozero(A)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),D),C)).
% 1.64/1.84    Following clause subsumed by 1436 during input processing: 0 [] {-} -class_Rings_Olinordered__ring__strict(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),C)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),C),c_Groups_Ozero__class_Ozero(A)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),D),B)).
% 1.64/1.84    Following clause subsumed by 1471 during input processing: 0 [] {-} -class_Groups_Ocomm__monoid__add(A)|hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(B,A),C),c_Orderings_Obot__class_Obot(tc_fun(B,tc_HOL_Obool)))=c_Groups_Ozero__class_Ozero(A).
% 1.64/1.84    Following clause subsumed by 1472 during input processing: 0 [] {-} -class_Groups_Ocomm__monoid__add(A)|hBOOL(hAPP(c_Finite__Set_Ofinite(B),C))|hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(B,A),D),C)=c_Groups_Ozero__class_Ozero(A).
% 1.64/1.84    Following clause subsumed by 1476 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))|A!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 1.64/1.84    Following clause subsumed by 747 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),A),B)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),A)).
% 1.64/1.84    Following clause subsumed by 746 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),A),B)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B)).
% 1.64/1.84    Following clause subsumed by 1502 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),C),B)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),C)).
% 1.64/1.84    Following clause subsumed by 1501 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),C)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),A))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B),C)).
% 1.64/1.84    Following clause subsumed by 1350 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),A))|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),C)|B!=C.
% 1.64/1.84    Following clause subsumed by 1506 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),A))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),C)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B),C)).
% 1.64/1.84    Following clause subsumed by 1501 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),A))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),C)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B),C)).
% 1.66/1.85    Following clause subsumed by 1511 during input processing: 0 [] {-} hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),A),B)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),A),B)).
% 1.66/1.85    Following clause subsumed by 1528 during input processing: 0 [] {-} -class_Groups_Oordered__comm__monoid__add(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),c_Groups_Ozero__class_Ozero(A)),B))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),C))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),C))).
% 1.66/1.85    Following clause subsumed by 1529 during input processing: 0 [] {-} -class_Groups_Oordered__comm__monoid__add(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),B))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),c_Groups_Ozero__class_Ozero(A)),C))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),C))).
% 1.66/1.85    Following clause subsumed by 1563 during input processing: 0 [] {-} -hBOOL(hAPP(A,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),B),C)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B),C))|hBOOL(hAPP(A,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 1.66/1.85    Following clause subsumed by 1564 during input processing: 0 [] {-} -hBOOL(hAPP(A,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),B),C)))|B!=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),C),D)|hBOOL(hAPP(A,D)).
% 1.66/1.85    Following clause subsumed by 986 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),C),B)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),A),C)).
% 1.66/1.85    Following clause subsumed by 987 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),C)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B),C)).
% 1.66/1.85    Following clause subsumed by 1577 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),A))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),C)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B),C)).
% 1.66/1.85    Following clause subsumed by 987 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),A))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),C)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B),C)).
% 1.66/1.85    Following clause subsumed by 1578 during input processing: 0 [] {-} -class_Groups_Ocomm__monoid__mult(A)| -hBOOL(hAPP(c_Finite__Set_Ofinite(B),C))|hBOOL(hAPP(hAPP(c_member(B),D),C))|hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(B,A),E),hAPP(hAPP(c_Set_Oinsert(B),D),C))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(E,D)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(B,A),E),C)).
% 1.66/1.85    Following clause subsumed by 1586 during input processing: 0 [] {-} -class_Groups_Ocomm__monoid__mult(A)| -hBOOL(hAPP(c_Finite__Set_Ofinite(B),C))| -hBOOL(hAPP(c_Finite__Set_Ofinite(B),D))|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(B,A),E),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(B,tc_HOL_Obool)),C),D))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(B,A),E),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(B,tc_HOL_Obool)),C),D)))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(B,A),E),C)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(B,A),E),D)).
% 1.66/1.86    Following clause subsumed by 1601 during input processing: 0 [flip.3] {-} -class_Groups_Ocomm__monoid__mult(A)| -hBOOL(hAPP(c_Finite__Set_Ofinite(B),C))|hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(A,B,c_Groups_Otimes__class_Otimes(A)),D),c_Groups_Oone__class_Oone(A)),C)=hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(B,A),D),C).
% 1.66/1.86    Following clause subsumed by 1361 during input processing: 0 [] {-} -class_Groups_Ocomm__monoid__mult(A)|hBOOL(hAPP(c_Finite__Set_Ofinite(B),C))|hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(B,A),D),C)=c_Groups_Oone__class_Oone(A).
% 1.66/1.86    Following clause subsumed by 1606 during input processing: 0 [] {-} -class_Groups_Ocomm__monoid__mult(A)| -hBOOL(hAPP(c_Finite__Set_Ofinite(B),C))| -hBOOL(hAPP(c_Finite__Set_Ofinite(B),D))|hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(B,tc_HOL_Obool)),C),D)!=c_Orderings_Obot__class_Obot(tc_fun(B,tc_HOL_Obool))|hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(B,A),E),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(B,tc_HOL_Obool)),C),D))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(B,A),E),C)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(B,A),E),D)).
% 1.66/1.86    Following clause subsumed by 1557 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Finite__Set_Ocard(A),B)))|hBOOL(hAPP(c_Finite__Set_Ofinite(A),B)).
% 1.66/1.86    Following clause subsumed by 1610 during input processing: 0 [flip.3] {-} -class_Groups_Ocomm__monoid__add(A)| -hBOOL(hAPP(c_Finite__Set_Ofinite(B),C))|hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(A,B,c_Groups_Oplus__class_Oplus(A)),D),c_Groups_Ozero__class_Ozero(A)),C)=hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(B,A),D),C).
% 1.66/1.86    Following clause subsumed by 1472 during input processing: 0 [] {-} -class_Groups_Ocomm__monoid__add(A)|hBOOL(hAPP(c_Finite__Set_Ofinite(B),C))|hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(B,A),D),C)=c_Groups_Ozero__class_Ozero(A).
% 1.66/1.86    Following clause subsumed by 1612 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),A))|hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),A),c_Groups_Oone__class_Oone(tc_Nat_Onat)))=A.
% 1.66/1.86    Following clause subsumed by 1352 during input processing: 0 [] {-} A!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 1.66/1.86    Following clause subsumed by 1616 during input processing: 0 [] {-} -hBOOL(hAPP(c_Finite__Set_Ofinite(A),B))|hAPP(c_Finite__Set_Ocard(A),B)=hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(tc_Nat_Onat,A,c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),hAPP(c_COMBK(tc_Nat_Onat,A),c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B).
% 1.66/1.86    Following clause subsumed by 1692 during input processing: 0 [flip.2] {-} -class_Rings_Ocomm__semiring__1(A)|hAPP(hAPP(c_Power_Opower__class_Opower(A),B),hAPP(c_Nat_OSuc,C))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C)).
% 1.66/1.86    Following clause subsumed by 1699 during input processing: 0 [] {-} -class_Rings_Olinordered__semidom(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),c_Groups_Ozero__class_Ozero(A)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(A),B))).
% 1.66/1.86    Following clause subsumed by 1703 during input processing: 0 [] {-} -class_Rings_Olinordered__semidom(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(c_Nat_Osemiring__1__class_Oof__nat(A),B)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(A),C)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B),C)).
% 1.66/1.86    Following clause subsumed by 1704 during input processing: 0 [] {-} -class_Rings_Olinordered__semidom(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(c_Nat_Osemiring__1__class_Oof__nat(A),B)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(A),C)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B),C)).
% 1.66/1.87    Following clause subsumed by 1726 during input processing: 0 [] {-} -class_Rings_Olinordered__semidom(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Oone__class_Oone(A)),B))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C)),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),D)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),C),D)).
% 1.66/1.87    Following clause subsumed by 1750 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),c_Groups_Oone__class_Oone(tc_Int_Oint))),B))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),A),B)).
% 1.66/1.87    Following clause subsumed by 1808 during input processing: 0 [] {-} -class_Rings_Olinordered__semidom(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Oone__class_Oone(A)),B))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C)),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),D)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),C),D)).
% 1.66/1.87    Following clause subsumed by 1807 during input processing: 0 [] {-} -class_Rings_Olinordered__semidom(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Oone__class_Oone(A)),B))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C)),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),D)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),C),D)).
% 1.66/1.87    Following clause subsumed by 188 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),A),B))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Int_Oint,tc_HOL_Obool)),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),A)),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),B))).
% 1.66/1.87    Following clause subsumed by 1730 during input processing: 0 [] {-} hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),A)!=hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B)|A=B.
% 1.66/1.87    Following clause subsumed by 1731 during input processing: 0 [] {-} hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),A)=hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B)|A!=B.
% 1.66/1.87    Following clause subsumed by 184 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),A),B))|hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),A)),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),B))).
% 1.66/1.87    Following clause subsumed by 571 during input processing: 0 [] {-} -hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),A))|hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),A))).
% 1.66/1.87    Following clause subsumed by 1686 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),A)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),B)).
% 1.66/1.87    Following clause subsumed by 1687 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),A)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),B)).
% 1.66/1.87    Following clause subsumed by 1688 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),A)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),A),B)).
% 1.66/1.89    Following clause subsumed by 1689 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),A)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),A),B)).
% 1.66/1.89    Following clause subsumed by 1853 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_member(tc_fun(A,tc_HOL_Obool)),B),hAPP(c_Set_OPow(A),C)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool)),B),C)).
% 1.66/1.89    Following clause subsumed by 1855 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(tc_fun(A,tc_HOL_Obool)),B),hAPP(c_Set_OPow(A),C)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool)),B),C)).
% 1.66/1.89    Following clause subsumed by 1852 during input processing: 0 [flip.2] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),A),B))|hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B),A)=c_Nat__Transfer_Otsub(B,A).
% 1.66/1.89    Following clause subsumed by 1876 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),C))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),D),E))|hAPP(c_SetInterval_Oord__class_OatLeastLessThan(A,B),C)!=hAPP(c_SetInterval_Oord__class_OatLeastLessThan(A,D),E)|B=D.
% 1.66/1.89    Following clause subsumed by 1875 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),C))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),D),E))|hAPP(c_SetInterval_Oord__class_OatLeastLessThan(A,B),C)!=hAPP(c_SetInterval_Oord__class_OatLeastLessThan(A,D),E)|C=E.
% 1.66/1.89    Following clause subsumed by 1880 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),A),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),A),B)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 1.66/1.89    Following clause subsumed by 1885 during input processing: 0 [] {-} -class_Divides_Osemiring__div(A)|B=c_Groups_Ozero__class_Ozero(A)|hAPP(hAPP(c_Divides_Odiv__class_Odiv(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D))=hAPP(hAPP(c_Divides_Odiv__class_Odiv(A),C),D).
% 1.66/1.89    Following clause subsumed by 1911 during input processing: 0 [] {-} hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),A),B)=c_Groups_Ozero__class_Ozero(tc_Int_Oint)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),A))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),A),B)).
% 1.66/1.89    Following clause subsumed by 1906 during input processing: 0 [] {-} hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),A),B)=c_Groups_Ozero__class_Ozero(tc_Int_Oint)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),A),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B),A)).
% 1.66/1.89    Following clause subsumed by 2019 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),A))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B),A))|hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),B),A)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 1.66/1.89    Following clause subsumed by 2029 during input processing: 0 [flip.3] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),A))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B),A))|hAPP(c_Nat_OSuc,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),B),A)),A))=hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),B),A).
% 1.66/1.89    Following clause subsumed by 2033 during input processing: 0 [] {-} hBOOL(hAPP(A,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),B),C)))|C!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)| -hBOOL(hAPP(A,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 1.66/1.91    Following clause subsumed by 2073 during input processing: 0 [] {-} -class_Rings_Odivision__ring(A)|B=c_Groups_Ozero__class_Ozero(A)|hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),C),B)=D|C!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),B).
% 1.66/1.91    Following clause subsumed by 2072 during input processing: 0 [] {-} -class_Rings_Odivision__ring(A)|B=c_Groups_Ozero__class_Ozero(A)|C=hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),D),B)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),B)!=D.
% 1.66/1.91    Following clause subsumed by 2176 during input processing: 0 [] {-} -class_Fields_Olinordered__field(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),B))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),C),B)),D))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),B))).
% 1.66/1.91    Following clause subsumed by 2175 during input processing: 0 [] {-} -class_Fields_Olinordered__field(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),B))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),C),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),D),B)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),B)),D)).
% 1.66/1.91    Following clause subsumed by 2111 during input processing: 0 [] {-} -class_Fields_Olinordered__field(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),B))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),C),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),D),B)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),B)),D)).
% 1.66/1.91    Following clause subsumed by 2234 during input processing: 0 [] {-} -class_Fields_Olinordered__field(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),B))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),B)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),C),B)),D)).
% 1.66/1.91    Following clause subsumed by 2245 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),A))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B))|hAPP(c_Int_Onat,A)!=hAPP(c_Int_Onat,B)|A=B.
% 1.66/1.91    Following clause subsumed by 2246 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),A))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B))|hAPP(c_Int_Onat,A)=hAPP(c_Int_Onat,B)|A!=B.
% 1.66/1.91    Following clause subsumed by 2281 during input processing: 0 [] {-} hAPP(c_Int_Onat,A)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),A),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 1.66/1.91    Following clause subsumed by 2284 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onat,A)),hAPP(c_Int_Onat,B)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),A),B)).
% 1.66/1.91    Following clause subsumed by 2289 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),A))|hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,A))=A.
% 1.66/1.91    Following clause subsumed by 2286 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),A))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onat,A)),hAPP(c_Int_Onat,B)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),A),B)).
% 1.73/1.93    Following clause subsumed by 2286 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),A))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onat,A)),hAPP(c_Int_Onat,B)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),A),B)).
% 1.73/1.93    Following clause subsumed by 2317 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),A))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onat,A)),hAPP(c_Int_Onat,B)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),A),B)).
% 1.73/1.93    Following clause subsumed by 2339 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),A))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B))|hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onat,A)),hAPP(c_Int_Onat,B))=hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),B)).
% 1.73/1.93    Following clause subsumed by 2341 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),A))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B))|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onat,A)),hAPP(c_Int_Onat,B))=hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),A),B)).
% 1.73/1.93    Following clause subsumed by 2345 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),A))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B))|hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(c_Int_Onat,A)),hAPP(c_Int_Onat,B))=hAPP(c_Int_Onat,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),A),B)).
% 1.73/1.93    Following clause subsumed by 2348 during input processing: 0 [flip.2] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),A))|hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Int_Onat,A)),B)=hAPP(c_Int_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),A),B)).
% 1.73/1.93    Following clause subsumed by 2384 during input processing: 0 [flip.2] {-} -class_Int_Oring__char__0(A)|hAPP(c_Int_Oring__1__class_Oof__int(A),B)!=c_Groups_Ozero__class_Ozero(A)|B=c_Groups_Ozero__class_Ozero(tc_Int_Oint).
% 1.73/1.93    Following clause subsumed by 2385 during input processing: 0 [flip.2] {-} -class_Int_Oring__char__0(A)|hAPP(c_Int_Oring__1__class_Oof__int(A),B)=c_Groups_Ozero__class_Ozero(A)|B!=c_Groups_Ozero__class_Ozero(tc_Int_Oint).
% 1.73/1.93    Following clause subsumed by 2402 during input processing: 0 [] {-} -c_Nat__Transfer_Onat__set(A)| -hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B),A))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B)).
% 1.73/1.93    Following clause subsumed by 571 during input processing: 0 [] {-} -c_Nat__Transfer_Onat__set(A)| -hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),A))|hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),A))).
% 1.73/1.93    Following clause subsumed by 188 during input processing: 0 [] {-} -c_Nat__Transfer_Onat__set(A)| -c_Nat__Transfer_Onat__set(B)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Int_Oint,tc_HOL_Obool)),A),B))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),A)),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),B))).
% 1.73/1.93    Following clause subsumed by 184 during input processing: 0 [] {-} -c_Nat__Transfer_Ois__nat(A)| -c_Nat__Transfer_Onat__set(B)| -hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),A),B))|hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),hAPP(c_Int_Onat,A)),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),B))).
% 1.73/1.96    Following clause subsumed by 2568 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,tc_fun(B,tc_HOL_Obool)),C),D),E))| -hBOOL(hAPP(hAPP(c_member(A),F),C))| -hBOOL(hAPP(hAPP(D,F),E)).
% 1.73/1.96    Following clause subsumed by 2591 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_member(A),B),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,tc_fun(A,tc_HOL_Obool)),D),E)))| -hBOOL(hAPP(hAPP(c_member(C),F),D))| -hBOOL(hAPP(hAPP(c_member(A),B),hAPP(E,F))).
% 1.73/1.96    Following clause subsumed by 2638 during input processing: 0 [] {-} -class_Rings_Olinordered__idom(A)|c_Groups_Osgn__class_Osgn(A,B)=hAPP(c_Groups_Ouminus__class_Ouminus(A),c_Groups_Oone__class_Oone(A))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),c_Groups_Ozero__class_Ozero(A))).
% 1.73/1.96    Following clause subsumed by 2651 during input processing: 0 [flip.2] {-} -class_Divides_Osemiring__div(A)|c_Divides_Odiv__class_Omod(A,hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),c_Divides_Odiv__class_Omod(A,B,D)),C),D)=c_Divides_Odiv__class_Omod(A,hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),C),D).
% 1.73/1.96    Following clause subsumed by 2652 during input processing: 0 [flip.2] {-} -class_Divides_Osemiring__div(A)|c_Divides_Odiv__class_Omod(A,hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),c_Divides_Odiv__class_Omod(A,C,D)),D)=c_Divides_Odiv__class_Omod(A,hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),C),D).
% 1.73/1.96    Following clause subsumed by 2658 during input processing: 0 [flip.2] {-} -class_Divides_Osemiring__div(A)|c_Divides_Odiv__class_Omod(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),c_Divides_Odiv__class_Omod(A,B,D)),C),D)=c_Divides_Odiv__class_Omod(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C),D).
% 1.73/1.96    Following clause subsumed by 2688 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),A),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),A),c_Divides_Odiv__class_Omod(tc_Int_Oint,B,A))).
% 1.73/1.96    Following clause subsumed by 2700 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),A),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Int_Oint,B,A)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 1.73/1.96    Following clause subsumed by 2687 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),A))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Int_Oint,B,A)),A)).
% 1.73/1.96    Following clause subsumed by 2702 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),A))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Divides_Odiv__class_Omod(tc_Int_Oint,B,A))).
% 1.73/1.96    Following clause subsumed by 2693 during input processing: 0 [] {-} c_Divides_Odiv__class_Omod(tc_Int_Oint,A,B)!=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|c_Divides_Odiv__class_Omod(tc_Int_Oint,A,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),B))=c_Groups_Ozero__class_Ozero(tc_Int_Oint).
% 1.73/1.96    Following clause subsumed by 2692 during input processing: 0 [] {-} c_Divides_Odiv__class_Omod(tc_Int_Oint,A,B)!=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),A),B)=c_Groups_Ozero__class_Ozero(tc_Int_Oint).
% 1.73/1.96    Following clause subsumed by 2710 during input processing: 0 [] {-} -class_Rings_Olinordered__idom(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),B))|c_Groups_Osgn__class_Osgn(A,B)=c_Groups_Oone__class_Oone(A).
% 1.73/1.96    Following clause subsumed by 2640 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,tc_fun(B,tc_fun(C,tc_HOL_Obool))),D),E),F),G))| -hBOOL(hAPP(hAPP(c_member(A),H),D))| -hBOOL(hAPP(hAPP(hAPP(E,H),F),G)).
% 1.78/1.98    Following clause subsumed by 574 during input processing: 0 [] {-} -class_Finite__Set_Ofinite(A)|hBOOL(hAPP(c_Finite__Set_Ofinite(A),c_Orderings_Otop__class_Otop(tc_fun(A,tc_HOL_Obool)))).
% 1.78/1.98    Following clause subsumed by 2809 during input processing: 0 [] {-} -c_Fun_Oinj__on(A,B,C,c_Orderings_Otop__class_Otop(tc_fun(A,tc_HOL_Obool)))|hAPP(C,D)!=hAPP(C,E)|D=E.
% 1.78/1.98    Following clause subsumed by 2785 during input processing: 0 [] {-} -class_Groups_Oordered__ab__group__add__abs(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(c_Groups_Oabs__class_Oabs(A),B)),C))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),C)).
% 1.78/1.98    Following clause subsumed by 2841 during input processing: 0 [] {-} -class_Groups_Oordered__ab__group__add__abs(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),C))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(c_Groups_Ouminus__class_Ouminus(A),B)),C))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(c_Groups_Oabs__class_Oabs(A),B)),C)).
% 1.78/1.98    Following clause subsumed by 2840 during input processing: 0 [] {-} -class_Groups_Oordered__ab__group__add__abs(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(c_Groups_Oabs__class_Oabs(A),B)),C))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(c_Groups_Ouminus__class_Ouminus(A),B)),C)).
% 1.78/1.98    Following clause subsumed by 2783 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),B))|c_Divides_Odiv__class_Omod(tc_Nat_Onat,A,B)=A.
% 1.78/1.98    Following clause subsumed by 2867 during input processing: 0 [] {-} hAPP(c_Set_Oimage(A,B,C),c_Orderings_Otop__class_Otop(tc_fun(A,tc_HOL_Obool)))!=c_Orderings_Otop__class_Otop(tc_fun(B,tc_HOL_Obool))|hAPP(C,hAPP(c_Hilbert__Choice_Oinv__into(A,B,c_Orderings_Otop__class_Otop(tc_fun(A,tc_HOL_Obool)),C),D))=D.
% 1.78/1.98    Following clause subsumed by 184 during input processing: 0 [] {-} -c_Fun_Oinj__on(A,B,C,c_Orderings_Otop__class_Otop(tc_fun(A,tc_HOL_Obool)))|hBOOL(hAPP(hAPP(c_member(B),hAPP(C,D)),hAPP(c_Set_Oimage(A,B,C),E)))| -hBOOL(hAPP(hAPP(c_member(A),D),E)).
% 1.78/1.98    Following clause subsumed by 2859 during input processing: 0 [flip.4] {-} -c_Fun_Oinj__on(A,B,C,c_Orderings_Otop__class_Otop(tc_fun(A,tc_HOL_Obool)))|hBOOL(hAPP(hAPP(c_member(B),D),hAPP(c_Set_Oimage(A,B,C),c_Orderings_Otop__class_Otop(tc_fun(A,tc_HOL_Obool)))))|D!=hAPP(C,E)|hAPP(C,$f250(D,C,B,A,E))=D.
% 1.78/1.98    Following clause subsumed by 2859 during input processing: 0 [] {-} -c_Fun_Oinj__on(A,B,C,c_Orderings_Otop__class_Otop(tc_fun(A,tc_HOL_Obool)))|hBOOL(hAPP(hAPP(c_member(B),D),hAPP(c_Set_Oimage(A,B,C),c_Orderings_Otop__class_Otop(tc_fun(A,tc_HOL_Obool)))))|D!=hAPP(C,E)|$f250(D,C,B,A,E)!=E.
% 1.78/1.98    Following clause subsumed by 188 during input processing: 0 [] {-} -c_Fun_Oinj__on(A,B,C,c_Orderings_Otop__class_Otop(tc_fun(A,tc_HOL_Obool)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(B,tc_HOL_Obool)),hAPP(c_Set_Oimage(A,B,C),D)),hAPP(c_Set_Oimage(A,B,C),E)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool)),D),E)).
% 1.78/1.98    Following clause subsumed by 2923 during input processing: 0 [] {-} -c_Fun_Oinj__on(A,B,C,c_Orderings_Otop__class_Otop(tc_fun(A,tc_HOL_Obool)))|hAPP(c_Set_Oimage(B,A,c_Hilbert__Choice_Oinv__into(A,B,c_Orderings_Otop__class_Otop(tc_fun(A,tc_HOL_Obool)),C)),hAPP(c_Set_Oimage(A,B,C),D))=D.
% 1.78/1.98    Following clause subsumed by 2938 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),A))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B))|hAPP(c_Int_Onat,c_Divides_Odiv__class_Omod(tc_Int_Oint,A,B))=c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Int_Onat,A),hAPP(c_Int_Onat,B)).
% 1.78/1.98    Following clause subsumed by 2957 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(A),B),hAPP(c_Set_Ovimage(A,C,D),E)))|hBOOL(hAPP(hAPP(c_member(C),hAPP(D,B)),E)).
% 1.78/1.98    Following clause subsumed by 2956 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_member(A),B),hAPP(c_Set_Ovimage(A,C,D),E)))| -hBOOL(hAPP(hAPP(c_member(C),hAPP(D,B)),E)).
% 1.78/1.98    Following clause subsumed by 1612 during input processing: 0 [flip.2] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),A)))|hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),A)),c_Groups_Oone__class_Oone(tc_Nat_Onat)))=hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),A).
% 1.78/1.98    Following clause subsumed by 454 during input processing: 0 [] {-} -class_Int_Onumber(A)| -class_Orderings_Olinorder(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(c_Int_Onumber__class_Onumber__of(A),B)),hAPP(c_Int_Onumber__class_Onumber__of(A),C)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(c_Int_Onumber__class_Onumber__of(A),C)),hAPP(c_Int_Onumber__class_Onumber__of(A),B))).
% 1.78/1.98    Following clause subsumed by 456 during input processing: 0 [] {-} -class_Int_Onumber(A)| -class_Orderings_Olinorder(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(c_Int_Onumber__class_Onumber__of(A),B)),hAPP(c_Int_Onumber__class_Onumber__of(A),C)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(c_Int_Onumber__class_Onumber__of(A),C)),hAPP(c_Int_Onumber__class_Onumber__of(A),B))).
% 1.78/1.98    Following clause subsumed by 3035 during input processing: 0 [] {-} -class_Int_Onumber__ring(A)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),hAPP(c_Int_Onumber__class_Onumber__of(A),B)),hAPP(c_Int_Onumber__class_Onumber__of(A),C))=hAPP(c_Int_Onumber__class_Onumber__of(A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B),C)).
% 1.78/1.98    Following clause subsumed by 3039 during input processing: 0 [] {-} -class_Int_Onumber__ring(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(c_Int_Onumber__class_Onumber__of(A),B)),hAPP(c_Int_Onumber__class_Onumber__of(A),C))=hAPP(c_Int_Onumber__class_Onumber__of(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),B),C)).
% 1.78/1.98    Following clause subsumed by 3044 during input processing: 0 [flip.2] {-} -class_Int_Onumber__ring(A)|hAPP(c_Int_Onumber__class_Onumber__of(A),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),B))=hAPP(c_Groups_Ouminus__class_Ouminus(A),hAPP(c_Int_Onumber__class_Onumber__of(A),B)).
% 1.78/1.98    Following clause subsumed by 2153 during input processing: 0 [] {-} -class_Fields_Ofield__inverse__zero(A)| -class_Int_Onumber(A)|hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),hAPP(c_Int_Onumber__class_Onumber__of(A),C))!=D|hAPP(c_Int_Onumber__class_Onumber__of(A),C)=c_Groups_Ozero__class_Ozero(A)|B=hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),hAPP(c_Int_Onumber__class_Onumber__of(A),C)).
% 1.78/1.98    Following clause subsumed by 2154 during input processing: 0 [] {-} -class_Fields_Ofield__inverse__zero(A)| -class_Int_Onumber(A)|hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),hAPP(c_Int_Onumber__class_Onumber__of(A),C))!=D|hAPP(c_Int_Onumber__class_Onumber__of(A),C)!=c_Groups_Ozero__class_Ozero(A)|D=c_Groups_Ozero__class_Ozero(A).
% 1.78/1.98    Following clause subsumed by 2155 during input processing: 0 [] {-} -class_Fields_Ofield__inverse__zero(A)| -class_Int_Onumber(A)|hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),hAPP(c_Int_Onumber__class_Onumber__of(A),C))=D|hAPP(c_Int_Onumber__class_Onumber__of(A),C)!=c_Groups_Ozero__class_Ozero(A)|D!=c_Groups_Ozero__class_Ozero(A).
% 1.78/1.98    Following clause subsumed by 2156 during input processing: 0 [] {-} -class_Fields_Ofield__inverse__zero(A)| -class_Int_Onumber(A)|hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),hAPP(c_Int_Onumber__class_Onumber__of(A),C))=D|B!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),hAPP(c_Int_Onumber__class_Onumber__of(A),C))|hAPP(c_Int_Onumber__class_Onumber__of(A),C)=c_Groups_Ozero__class_Ozero(A).
% 1.78/1.98    Following clause subsumed by 2157 during input processing: 0 [] {-} -class_Fields_Ofield__inverse__zero(A)| -class_Int_Onumber(A)|hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),hAPP(c_Int_Onumber__class_Onumber__of(A),C))=D|B!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),hAPP(c_Int_Onumber__class_Onumber__of(A),C))|D!=c_Groups_Ozero__class_Ozero(A).
% 1.78/1.98    Following clause subsumed by 2153 during input processing: 0 [] {-} -class_Fields_Ofield__inverse__zero(A)| -class_Int_Onumber(A)|hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),C)!=hAPP(c_Int_Onumber__class_Onumber__of(A),D)|C=c_Groups_Ozero__class_Ozero(A)|B=hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(c_Int_Onumber__class_Onumber__of(A),D)),C).
% 1.78/1.98    Following clause subsumed by 2154 during input processing: 0 [] {-} -class_Fields_Ofield__inverse__zero(A)| -class_Int_Onumber(A)|hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),C)!=hAPP(c_Int_Onumber__class_Onumber__of(A),D)|C!=c_Groups_Ozero__class_Ozero(A)|hAPP(c_Int_Onumber__class_Onumber__of(A),D)=c_Groups_Ozero__class_Ozero(A).
% 1.78/1.98    Following clause subsumed by 2155 during input processing: 0 [] {-} -class_Fields_Ofield__inverse__zero(A)| -class_Int_Onumber(A)|hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),C)=hAPP(c_Int_Onumber__class_Onumber__of(A),D)|C!=c_Groups_Ozero__class_Ozero(A)|hAPP(c_Int_Onumber__class_Onumber__of(A),D)!=c_Groups_Ozero__class_Ozero(A).
% 1.78/1.98    Following clause subsumed by 2156 during input processing: 0 [] {-} -class_Fields_Ofield__inverse__zero(A)| -class_Int_Onumber(A)|hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),C)=hAPP(c_Int_Onumber__class_Onumber__of(A),D)|B!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(c_Int_Onumber__class_Onumber__of(A),D)),C)|C=c_Groups_Ozero__class_Ozero(A).
% 1.78/1.98    Following clause subsumed by 2157 during input processing: 0 [] {-} -class_Fields_Ofield__inverse__zero(A)| -class_Int_Onumber(A)|hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),C)=hAPP(c_Int_Onumber__class_Onumber__of(A),D)|B!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(c_Int_Onumber__class_Onumber__of(A),D)),C)|hAPP(c_Int_Onumber__class_Onumber__of(A),D)!=c_Groups_Ozero__class_Ozero(A).
% 1.78/1.98    Following clause subsumed by 2148 during input processing: 0 [] {-} -class_Fields_Ofield__inverse__zero(A)| -class_Int_Onumber(A)|hAPP(c_Int_Onumber__class_Onumber__of(A),B)!=hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),C),D)|D=c_Groups_Ozero__class_Ozero(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(c_Int_Onumber__class_Onumber__of(A),B)),D)=C.
% 1.78/1.98    Following clause subsumed by 2149 during input processing: 0 [] {-} -class_Fields_Ofield__inverse__zero(A)| -class_Int_Onumber(A)|hAPP(c_Int_Onumber__class_Onumber__of(A),B)!=hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),C),D)|D!=c_Groups_Ozero__class_Ozero(A)|hAPP(c_Int_Onumber__class_Onumber__of(A),B)=c_Groups_Ozero__class_Ozero(A).
% 1.78/1.98    Following clause subsumed by 2150 during input processing: 0 [] {-} -class_Fields_Ofield__inverse__zero(A)| -class_Int_Onumber(A)|hAPP(c_Int_Onumber__class_Onumber__of(A),B)=hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),C),D)|D!=c_Groups_Ozero__class_Ozero(A)|hAPP(c_Int_Onumber__class_Onumber__of(A),B)!=c_Groups_Ozero__class_Ozero(A).
% 1.78/1.98    Following clause subsumed by 2151 during input processing: 0 [] {-} -class_Fields_Ofield__inverse__zero(A)| -class_Int_Onumber(A)|hAPP(c_Int_Onumber__class_Onumber__of(A),B)=hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),C),D)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(c_Int_Onumber__class_Onumber__of(A),B)),D)!=C|D=c_Groups_Ozero__class_Ozero(A).
% 1.78/1.98    Following clause subsumed by 2152 during input processing: 0 [] {-} -class_Fields_Ofield__inverse__zero(A)| -class_Int_Onumber(A)|hAPP(c_Int_Onumber__class_Onumber__of(A),B)=hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),C),D)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(c_Int_Onumber__class_Onumber__of(A),B)),D)!=C|hAPP(c_Int_Onumber__class_Onumber__of(A),B)!=c_Groups_Ozero__class_Ozero(A).
% 1.78/1.98    Following clause subsumed by 2148 during input processing: 0 [] {-} -class_Fields_Ofield__inverse__zero(A)| -class_Int_Onumber(A)|B!=hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),C),hAPP(c_Int_Onumber__class_Onumber__of(A),D))|hAPP(c_Int_Onumber__class_Onumber__of(A),D)=c_Groups_Ozero__class_Ozero(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),hAPP(c_Int_Onumber__class_Onumber__of(A),D))=C.
% 1.78/1.99    Following clause subsumed by 2149 during input processing: 0 [] {-} -class_Fields_Ofield__inverse__zero(A)| -class_Int_Onumber(A)|B!=hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),C),hAPP(c_Int_Onumber__class_Onumber__of(A),D))|hAPP(c_Int_Onumber__class_Onumber__of(A),D)!=c_Groups_Ozero__class_Ozero(A)|B=c_Groups_Ozero__class_Ozero(A).
% 1.78/1.99    Following clause subsumed by 2150 during input processing: 0 [] {-} -class_Fields_Ofield__inverse__zero(A)| -class_Int_Onumber(A)|B=hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),C),hAPP(c_Int_Onumber__class_Onumber__of(A),D))|hAPP(c_Int_Onumber__class_Onumber__of(A),D)!=c_Groups_Ozero__class_Ozero(A)|B!=c_Groups_Ozero__class_Ozero(A).
% 1.78/1.99    Following clause subsumed by 2151 during input processing: 0 [] {-} -class_Fields_Ofield__inverse__zero(A)| -class_Int_Onumber(A)|B=hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),C),hAPP(c_Int_Onumber__class_Onumber__of(A),D))|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),hAPP(c_Int_Onumber__class_Onumber__of(A),D))!=C|hAPP(c_Int_Onumber__class_Onumber__of(A),D)=c_Groups_Ozero__class_Ozero(A).
% 1.78/1.99    Following clause subsumed by 2152 during input processing: 0 [] {-} -class_Fields_Ofield__inverse__zero(A)| -class_Int_Onumber(A)|B=hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),C),hAPP(c_Int_Onumber__class_Onumber__of(A),D))|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),hAPP(c_Int_Onumber__class_Onumber__of(A),D))!=C|B!=c_Groups_Ozero__class_Ozero(A).
% 1.78/1.99    Following clause subsumed by 2179 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),hAPP(c_Int_Onumber__class_Onumber__of(A),C))),D))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),hAPP(c_Int_Onumber__class_Onumber__of(A),C)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),hAPP(c_Int_Onumber__class_Onumber__of(A),C)))).
% 1.78/1.99    Following clause subsumed by 2180 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),hAPP(c_Int_Onumber__class_Onumber__of(A),C))),D))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),hAPP(c_Int_Onumber__class_Onumber__of(A),C)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(c_Int_Onumber__class_Onumber__of(A),C)),c_Groups_Ozero__class_Ozero(A)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),hAPP(c_Int_Onumber__class_Onumber__of(A),C))),B)).
% 1.78/1.99    Following clause subsumed by 2181 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),hAPP(c_Int_Onumber__class_Onumber__of(A),C))),D))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),hAPP(c_Int_Onumber__class_Onumber__of(A),C)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(c_Int_Onumber__class_Onumber__of(A),C)),c_Groups_Ozero__class_Ozero(A)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),D)).
% 1.78/1.99    Following clause subsumed by 2182 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),hAPP(c_Int_Onumber__class_Onumber__of(A),C))),D))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),hAPP(c_Int_Onumber__class_Onumber__of(A),C)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(c_Int_Onumber__class_Onumber__of(A),C)),c_Groups_Ozero__class_Ozero(A)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),D)).
% 1.78/1.99    Following clause subsumed by 2183 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),hAPP(c_Int_Onumber__class_Onumber__of(A),C))),D))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),hAPP(c_Int_Onumber__class_Onumber__of(A),C)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),hAPP(c_Int_Onumber__class_Onumber__of(A),C))),B))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(c_Int_Onumber__class_Onumber__of(A),C)),c_Groups_Ozero__class_Ozero(A))).
% 1.78/1.99    Following clause subsumed by 2184 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),hAPP(c_Int_Onumber__class_Onumber__of(A),C))),D))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),hAPP(c_Int_Onumber__class_Onumber__of(A),C)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),hAPP(c_Int_Onumber__class_Onumber__of(A),C))),B))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),D)).
% 1.78/1.99    Following clause subsumed by 2185 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),hAPP(c_Int_Onumber__class_Onumber__of(A),C))),D))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),hAPP(c_Int_Onumber__class_Onumber__of(A),C))))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),hAPP(c_Int_Onumber__class_Onumber__of(A),C))).
% 1.78/1.99    Following clause subsumed by 2186 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),hAPP(c_Int_Onumber__class_Onumber__of(A),C))),D))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),hAPP(c_Int_Onumber__class_Onumber__of(A),C))))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(c_Int_Onumber__class_Onumber__of(A),C)),c_Groups_Ozero__class_Ozero(A)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),D)).
% 1.78/1.99    Following clause subsumed by 2187 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),hAPP(c_Int_Onumber__class_Onumber__of(A),C))),D))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),hAPP(c_Int_Onumber__class_Onumber__of(A),C))))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),hAPP(c_Int_Onumber__class_Onumber__of(A),C))),B))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(c_Int_Onumber__class_Onumber__of(A),C)),c_Groups_Ozero__class_Ozero(A))).
% 1.78/1.99    Following clause subsumed by 2188 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),hAPP(c_Int_Onumber__class_Onumber__of(A),C))),D))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),hAPP(c_Int_Onumber__class_Onumber__of(A),C))))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),hAPP(c_Int_Onumber__class_Onumber__of(A),C))),B))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),D)).
% 1.78/1.99    Following clause subsumed by 2179 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),C)),hAPP(c_Int_Onumber__class_Onumber__of(A),D)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),C))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(c_Int_Onumber__class_Onumber__of(A),D)),C))).
% 1.78/1.99    Following clause subsumed by 2180 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),C)),hAPP(c_Int_Onumber__class_Onumber__of(A),D)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),C))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),C),c_Groups_Ozero__class_Ozero(A)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(c_Int_Onumber__class_Onumber__of(A),D)),C)),B)).
% 1.78/1.99    Following clause subsumed by 2181 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),C)),hAPP(c_Int_Onumber__class_Onumber__of(A),D)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),C))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),C),c_Groups_Ozero__class_Ozero(A)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),hAPP(c_Int_Onumber__class_Onumber__of(A),D))).
% 1.78/1.99    Following clause subsumed by 2182 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),C)),hAPP(c_Int_Onumber__class_Onumber__of(A),D)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),C))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),C),c_Groups_Ozero__class_Ozero(A)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),hAPP(c_Int_Onumber__class_Onumber__of(A),D))).
% 1.78/1.99    Following clause subsumed by 2183 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),C)),hAPP(c_Int_Onumber__class_Onumber__of(A),D)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),C))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(c_Int_Onumber__class_Onumber__of(A),D)),C)),B))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),C),c_Groups_Ozero__class_Ozero(A))).
% 1.78/1.99    Following clause subsumed by 2184 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),C)),hAPP(c_Int_Onumber__class_Onumber__of(A),D)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),C))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(c_Int_Onumber__class_Onumber__of(A),D)),C)),B))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),hAPP(c_Int_Onumber__class_Onumber__of(A),D))).
% 1.78/1.99    Following clause subsumed by 2185 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),C)),hAPP(c_Int_Onumber__class_Onumber__of(A),D)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(c_Int_Onumber__class_Onumber__of(A),D)),C)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),C)).
% 1.78/1.99    Following clause subsumed by 2186 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),C)),hAPP(c_Int_Onumber__class_Onumber__of(A),D)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(c_Int_Onumber__class_Onumber__of(A),D)),C)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),C),c_Groups_Ozero__class_Ozero(A)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),hAPP(c_Int_Onumber__class_Onumber__of(A),D))).
% 1.78/1.99    Following clause subsumed by 2187 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),C)),hAPP(c_Int_Onumber__class_Onumber__of(A),D)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(c_Int_Onumber__class_Onumber__of(A),D)),C)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(c_Int_Onumber__class_Onumber__of(A),D)),C)),B))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),C),c_Groups_Ozero__class_Ozero(A))).
% 1.78/1.99    Following clause subsumed by 2188 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),C)),hAPP(c_Int_Onumber__class_Onumber__of(A),D)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(c_Int_Onumber__class_Onumber__of(A),D)),C)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(c_Int_Onumber__class_Onumber__of(A),D)),C)),B))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),hAPP(c_Int_Onumber__class_Onumber__of(A),D))).
% 1.78/1.99    Following clause subsumed by 2189 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(c_Int_Onumber__class_Onumber__of(A),B)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),C),D)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),D))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(c_Int_Onumber__class_Onumber__of(A),B)),D)),C)).
% 1.78/1.99    Following clause subsumed by 2190 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(c_Int_Onumber__class_Onumber__of(A),B)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),C),D)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),D))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),D),c_Groups_Ozero__class_Ozero(A)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(c_Int_Onumber__class_Onumber__of(A),B)),D))).
% 1.78/1.99    Following clause subsumed by 2191 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(c_Int_Onumber__class_Onumber__of(A),B)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),C),D)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),D))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),D),c_Groups_Ozero__class_Ozero(A)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(c_Int_Onumber__class_Onumber__of(A),B)),c_Groups_Ozero__class_Ozero(A))).
% 1.78/1.99    Following clause subsumed by 2192 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(c_Int_Onumber__class_Onumber__of(A),B)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),C),D)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),D))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),D),c_Groups_Ozero__class_Ozero(A)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(c_Int_Onumber__class_Onumber__of(A),B)),c_Groups_Ozero__class_Ozero(A))).
% 1.78/1.99    Following clause subsumed by 2193 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(c_Int_Onumber__class_Onumber__of(A),B)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),C),D)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),D))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(c_Int_Onumber__class_Onumber__of(A),B)),D)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),D),c_Groups_Ozero__class_Ozero(A))).
% 1.78/1.99    Following clause subsumed by 2194 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(c_Int_Onumber__class_Onumber__of(A),B)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),C),D)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),D))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(c_Int_Onumber__class_Onumber__of(A),B)),D)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(c_Int_Onumber__class_Onumber__of(A),B)),c_Groups_Ozero__class_Ozero(A))).
% 1.78/1.99    Following clause subsumed by 2195 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(c_Int_Onumber__class_Onumber__of(A),B)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),C),D)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(c_Int_Onumber__class_Onumber__of(A),B)),D)),C))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),D)).
% 1.78/1.99    Following clause subsumed by 2196 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(c_Int_Onumber__class_Onumber__of(A),B)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),C),D)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(c_Int_Onumber__class_Onumber__of(A),B)),D)),C))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),D),c_Groups_Ozero__class_Ozero(A)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(c_Int_Onumber__class_Onumber__of(A),B)),c_Groups_Ozero__class_Ozero(A))).
% 1.78/1.99    Following clause subsumed by 2197 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(c_Int_Onumber__class_Onumber__of(A),B)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),C),D)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(c_Int_Onumber__class_Onumber__of(A),B)),D)),C))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(c_Int_Onumber__class_Onumber__of(A),B)),D)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),D),c_Groups_Ozero__class_Ozero(A))).
% 1.78/1.99    Following clause subsumed by 2198 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(c_Int_Onumber__class_Onumber__of(A),B)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),C),D)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(c_Int_Onumber__class_Onumber__of(A),B)),D)),C))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(c_Int_Onumber__class_Onumber__of(A),B)),D)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(c_Int_Onumber__class_Onumber__of(A),B)),c_Groups_Ozero__class_Ozero(A))).
% 1.78/1.99    Following clause subsumed by 2189 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),C),hAPP(c_Int_Onumber__class_Onumber__of(A),D))))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),hAPP(c_Int_Onumber__class_Onumber__of(A),D)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),hAPP(c_Int_Onumber__class_Onumber__of(A),D))),C)).
% 1.78/1.99    Following clause subsumed by 2190 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),C),hAPP(c_Int_Onumber__class_Onumber__of(A),D))))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),hAPP(c_Int_Onumber__class_Onumber__of(A),D)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(c_Int_Onumber__class_Onumber__of(A),D)),c_Groups_Ozero__class_Ozero(A)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),hAPP(c_Int_Onumber__class_Onumber__of(A),D)))).
% 1.78/1.99    Following clause subsumed by 2191 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),C),hAPP(c_Int_Onumber__class_Onumber__of(A),D))))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),hAPP(c_Int_Onumber__class_Onumber__of(A),D)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(c_Int_Onumber__class_Onumber__of(A),D)),c_Groups_Ozero__class_Ozero(A)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),c_Groups_Ozero__class_Ozero(A))).
% 1.78/1.99    Following clause subsumed by 2192 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),C),hAPP(c_Int_Onumber__class_Onumber__of(A),D))))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),hAPP(c_Int_Onumber__class_Onumber__of(A),D)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(c_Int_Onumber__class_Onumber__of(A),D)),c_Groups_Ozero__class_Ozero(A)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),c_Groups_Ozero__class_Ozero(A))).
% 1.78/1.99    Following clause subsumed by 2193 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),C),hAPP(c_Int_Onumber__class_Onumber__of(A),D))))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),hAPP(c_Int_Onumber__class_Onumber__of(A),D)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),hAPP(c_Int_Onumber__class_Onumber__of(A),D))))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(c_Int_Onumber__class_Onumber__of(A),D)),c_Groups_Ozero__class_Ozero(A))).
% 1.78/1.99    Following clause subsumed by 2194 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),C),hAPP(c_Int_Onumber__class_Onumber__of(A),D))))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),hAPP(c_Int_Onumber__class_Onumber__of(A),D)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),hAPP(c_Int_Onumber__class_Onumber__of(A),D))))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),c_Groups_Ozero__class_Ozero(A))).
% 1.78/1.99    Following clause subsumed by 2195 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),C),hAPP(c_Int_Onumber__class_Onumber__of(A),D))))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),hAPP(c_Int_Onumber__class_Onumber__of(A),D))),C))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),hAPP(c_Int_Onumber__class_Onumber__of(A),D))).
% 1.78/1.99    Following clause subsumed by 2196 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),C),hAPP(c_Int_Onumber__class_Onumber__of(A),D))))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),hAPP(c_Int_Onumber__class_Onumber__of(A),D))),C))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(c_Int_Onumber__class_Onumber__of(A),D)),c_Groups_Ozero__class_Ozero(A)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),c_Groups_Ozero__class_Ozero(A))).
% 1.78/1.99    Following clause subsumed by 2197 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),C),hAPP(c_Int_Onumber__class_Onumber__of(A),D))))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),hAPP(c_Int_Onumber__class_Onumber__of(A),D))),C))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),hAPP(c_Int_Onumber__class_Onumber__of(A),D))))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(c_Int_Onumber__class_Onumber__of(A),D)),c_Groups_Ozero__class_Ozero(A))).
% 1.78/1.99    Following clause subsumed by 2198 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),C),hAPP(c_Int_Onumber__class_Onumber__of(A),D))))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),hAPP(c_Int_Onumber__class_Onumber__of(A),D))),C))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),hAPP(c_Int_Onumber__class_Onumber__of(A),D))))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),c_Groups_Ozero__class_Ozero(A))).
% 1.78/1.99    Following clause subsumed by 2212 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),C),hAPP(c_Int_Onumber__class_Onumber__of(A),D))))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),hAPP(c_Int_Onumber__class_Onumber__of(A),D)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),hAPP(c_Int_Onumber__class_Onumber__of(A),D))),C)).
% 1.78/1.99    Following clause subsumed by 2213 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),C),hAPP(c_Int_Onumber__class_Onumber__of(A),D))))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),hAPP(c_Int_Onumber__class_Onumber__of(A),D)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(c_Int_Onumber__class_Onumber__of(A),D)),c_Groups_Ozero__class_Ozero(A)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),hAPP(c_Int_Onumber__class_Onumber__of(A),D)))).
% 1.78/1.99    Following clause subsumed by 2214 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),C),hAPP(c_Int_Onumber__class_Onumber__of(A),D))))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),hAPP(c_Int_Onumber__class_Onumber__of(A),D)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(c_Int_Onumber__class_Onumber__of(A),D)),c_Groups_Ozero__class_Ozero(A)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),c_Groups_Ozero__class_Ozero(A))).
% 1.78/1.99    Following clause subsumed by 2215 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),C),hAPP(c_Int_Onumber__class_Onumber__of(A),D))))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),hAPP(c_Int_Onumber__class_Onumber__of(A),D)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(c_Int_Onumber__class_Onumber__of(A),D)),c_Groups_Ozero__class_Ozero(A)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),c_Groups_Ozero__class_Ozero(A))).
% 1.78/1.99    Following clause subsumed by 2216 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),C),hAPP(c_Int_Onumber__class_Onumber__of(A),D))))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),hAPP(c_Int_Onumber__class_Onumber__of(A),D)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),hAPP(c_Int_Onumber__class_Onumber__of(A),D))))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(c_Int_Onumber__class_Onumber__of(A),D)),c_Groups_Ozero__class_Ozero(A))).
% 1.78/1.99    Following clause subsumed by 2217 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),C),hAPP(c_Int_Onumber__class_Onumber__of(A),D))))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),hAPP(c_Int_Onumber__class_Onumber__of(A),D)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),hAPP(c_Int_Onumber__class_Onumber__of(A),D))))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),c_Groups_Ozero__class_Ozero(A))).
% 1.78/1.99    Following clause subsumed by 2218 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),C),hAPP(c_Int_Onumber__class_Onumber__of(A),D))))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),hAPP(c_Int_Onumber__class_Onumber__of(A),D))),C))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),hAPP(c_Int_Onumber__class_Onumber__of(A),D))).
% 1.78/1.99    Following clause subsumed by 2219 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),C),hAPP(c_Int_Onumber__class_Onumber__of(A),D))))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),hAPP(c_Int_Onumber__class_Onumber__of(A),D))),C))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(c_Int_Onumber__class_Onumber__of(A),D)),c_Groups_Ozero__class_Ozero(A)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),c_Groups_Ozero__class_Ozero(A))).
% 1.78/1.99    Following clause subsumed by 2220 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),C),hAPP(c_Int_Onumber__class_Onumber__of(A),D))))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),hAPP(c_Int_Onumber__class_Onumber__of(A),D))),C))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),hAPP(c_Int_Onumber__class_Onumber__of(A),D))))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(c_Int_Onumber__class_Onumber__of(A),D)),c_Groups_Ozero__class_Ozero(A))).
% 1.78/2.00    Following clause subsumed by 2221 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),C),hAPP(c_Int_Onumber__class_Onumber__of(A),D))))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),hAPP(c_Int_Onumber__class_Onumber__of(A),D))),C))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),hAPP(c_Int_Onumber__class_Onumber__of(A),D))))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),c_Groups_Ozero__class_Ozero(A))).
% 1.78/2.00    Following clause subsumed by 2212 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(c_Int_Onumber__class_Onumber__of(A),B)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),C),D)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),D))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(c_Int_Onumber__class_Onumber__of(A),B)),D)),C)).
% 1.78/2.00    Following clause subsumed by 2213 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(c_Int_Onumber__class_Onumber__of(A),B)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),C),D)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),D))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),D),c_Groups_Ozero__class_Ozero(A)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(c_Int_Onumber__class_Onumber__of(A),B)),D))).
% 1.78/2.00    Following clause subsumed by 2214 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(c_Int_Onumber__class_Onumber__of(A),B)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),C),D)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),D))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),D),c_Groups_Ozero__class_Ozero(A)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(c_Int_Onumber__class_Onumber__of(A),B)),c_Groups_Ozero__class_Ozero(A))).
% 1.78/2.00    Following clause subsumed by 2215 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(c_Int_Onumber__class_Onumber__of(A),B)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),C),D)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),D))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),D),c_Groups_Ozero__class_Ozero(A)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(c_Int_Onumber__class_Onumber__of(A),B)),c_Groups_Ozero__class_Ozero(A))).
% 1.78/2.00    Following clause subsumed by 2216 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(c_Int_Onumber__class_Onumber__of(A),B)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),C),D)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),D))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(c_Int_Onumber__class_Onumber__of(A),B)),D)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),D),c_Groups_Ozero__class_Ozero(A))).
% 1.78/2.00    Following clause subsumed by 2217 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(c_Int_Onumber__class_Onumber__of(A),B)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),C),D)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),D))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(c_Int_Onumber__class_Onumber__of(A),B)),D)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(c_Int_Onumber__class_Onumber__of(A),B)),c_Groups_Ozero__class_Ozero(A))).
% 1.78/2.00    Following clause subsumed by 2218 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(c_Int_Onumber__class_Onumber__of(A),B)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),C),D)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(c_Int_Onumber__class_Onumber__of(A),B)),D)),C))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),D)).
% 1.78/2.00    Following clause subsumed by 2219 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(c_Int_Onumber__class_Onumber__of(A),B)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),C),D)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(c_Int_Onumber__class_Onumber__of(A),B)),D)),C))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),D),c_Groups_Ozero__class_Ozero(A)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(c_Int_Onumber__class_Onumber__of(A),B)),c_Groups_Ozero__class_Ozero(A))).
% 1.78/2.00    Following clause subsumed by 2220 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(c_Int_Onumber__class_Onumber__of(A),B)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),C),D)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(c_Int_Onumber__class_Onumber__of(A),B)),D)),C))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(c_Int_Onumber__class_Onumber__of(A),B)),D)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),D),c_Groups_Ozero__class_Ozero(A))).
% 1.78/2.00    Following clause subsumed by 2221 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(c_Int_Onumber__class_Onumber__of(A),B)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),C),D)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(c_Int_Onumber__class_Onumber__of(A),B)),D)),C))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(c_Int_Onumber__class_Onumber__of(A),B)),D)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(c_Int_Onumber__class_Onumber__of(A),B)),c_Groups_Ozero__class_Ozero(A))).
% 1.78/2.00    Following clause subsumed by 2222 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),C)),hAPP(c_Int_Onumber__class_Onumber__of(A),D)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),C))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(c_Int_Onumber__class_Onumber__of(A),D)),C))).
% 1.78/2.00    Following clause subsumed by 2223 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),C)),hAPP(c_Int_Onumber__class_Onumber__of(A),D)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),C))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),C),c_Groups_Ozero__class_Ozero(A)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(c_Int_Onumber__class_Onumber__of(A),D)),C)),B)).
% 1.78/2.00    Following clause subsumed by 2224 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),C)),hAPP(c_Int_Onumber__class_Onumber__of(A),D)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),C))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),C),c_Groups_Ozero__class_Ozero(A)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),c_Groups_Ozero__class_Ozero(A)),hAPP(c_Int_Onumber__class_Onumber__of(A),D))).
% 1.78/2.00    Following clause subsumed by 2225 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),C)),hAPP(c_Int_Onumber__class_Onumber__of(A),D)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),C))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),C),c_Groups_Ozero__class_Ozero(A)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),c_Groups_Ozero__class_Ozero(A)),hAPP(c_Int_Onumber__class_Onumber__of(A),D))).
% 1.78/2.00    Following clause subsumed by 2226 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),C)),hAPP(c_Int_Onumber__class_Onumber__of(A),D)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),C))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(c_Int_Onumber__class_Onumber__of(A),D)),C)),B))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),C),c_Groups_Ozero__class_Ozero(A))).
% 1.78/2.00    Following clause subsumed by 2227 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),C)),hAPP(c_Int_Onumber__class_Onumber__of(A),D)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),C))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(c_Int_Onumber__class_Onumber__of(A),D)),C)),B))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),c_Groups_Ozero__class_Ozero(A)),hAPP(c_Int_Onumber__class_Onumber__of(A),D))).
% 1.78/2.00    Following clause subsumed by 2228 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),C)),hAPP(c_Int_Onumber__class_Onumber__of(A),D)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(c_Int_Onumber__class_Onumber__of(A),D)),C)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),C)).
% 1.78/2.00    Following clause subsumed by 2229 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),C)),hAPP(c_Int_Onumber__class_Onumber__of(A),D)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(c_Int_Onumber__class_Onumber__of(A),D)),C)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),C),c_Groups_Ozero__class_Ozero(A)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),c_Groups_Ozero__class_Ozero(A)),hAPP(c_Int_Onumber__class_Onumber__of(A),D))).
% 1.78/2.00    Following clause subsumed by 2230 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),C)),hAPP(c_Int_Onumber__class_Onumber__of(A),D)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(c_Int_Onumber__class_Onumber__of(A),D)),C)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(c_Int_Onumber__class_Onumber__of(A),D)),C)),B))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),C),c_Groups_Ozero__class_Ozero(A))).
% 1.78/2.00    Following clause subsumed by 2231 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),C)),hAPP(c_Int_Onumber__class_Onumber__of(A),D)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(c_Int_Onumber__class_Onumber__of(A),D)),C)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(c_Int_Onumber__class_Onumber__of(A),D)),C)),B))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),c_Groups_Ozero__class_Ozero(A)),hAPP(c_Int_Onumber__class_Onumber__of(A),D))).
% 1.78/2.00    Following clause subsumed by 2222 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),hAPP(c_Int_Onumber__class_Onumber__of(A),C))),D))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),hAPP(c_Int_Onumber__class_Onumber__of(A),C)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),hAPP(c_Int_Onumber__class_Onumber__of(A),C)))).
% 1.78/2.00    Following clause subsumed by 2223 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),hAPP(c_Int_Onumber__class_Onumber__of(A),C))),D))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),hAPP(c_Int_Onumber__class_Onumber__of(A),C)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(c_Int_Onumber__class_Onumber__of(A),C)),c_Groups_Ozero__class_Ozero(A)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),hAPP(c_Int_Onumber__class_Onumber__of(A),C))),B)).
% 1.78/2.00    Following clause subsumed by 2224 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),hAPP(c_Int_Onumber__class_Onumber__of(A),C))),D))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),hAPP(c_Int_Onumber__class_Onumber__of(A),C)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(c_Int_Onumber__class_Onumber__of(A),C)),c_Groups_Ozero__class_Ozero(A)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),c_Groups_Ozero__class_Ozero(A)),D)).
% 1.78/2.00    Following clause subsumed by 2225 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),hAPP(c_Int_Onumber__class_Onumber__of(A),C))),D))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),hAPP(c_Int_Onumber__class_Onumber__of(A),C)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(c_Int_Onumber__class_Onumber__of(A),C)),c_Groups_Ozero__class_Ozero(A)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),c_Groups_Ozero__class_Ozero(A)),D)).
% 1.78/2.00    Following clause subsumed by 2226 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),hAPP(c_Int_Onumber__class_Onumber__of(A),C))),D))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),hAPP(c_Int_Onumber__class_Onumber__of(A),C)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),hAPP(c_Int_Onumber__class_Onumber__of(A),C))),B))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(c_Int_Onumber__class_Onumber__of(A),C)),c_Groups_Ozero__class_Ozero(A))).
% 1.78/2.01    Following clause subsumed by 2227 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),hAPP(c_Int_Onumber__class_Onumber__of(A),C))),D))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),hAPP(c_Int_Onumber__class_Onumber__of(A),C)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),hAPP(c_Int_Onumber__class_Onumber__of(A),C))),B))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),c_Groups_Ozero__class_Ozero(A)),D)).
% 1.78/2.01    Following clause subsumed by 2228 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),hAPP(c_Int_Onumber__class_Onumber__of(A),C))),D))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),hAPP(c_Int_Onumber__class_Onumber__of(A),C))))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),hAPP(c_Int_Onumber__class_Onumber__of(A),C))).
% 1.78/2.01    Following clause subsumed by 2229 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),hAPP(c_Int_Onumber__class_Onumber__of(A),C))),D))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),hAPP(c_Int_Onumber__class_Onumber__of(A),C))))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(c_Int_Onumber__class_Onumber__of(A),C)),c_Groups_Ozero__class_Ozero(A)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),c_Groups_Ozero__class_Ozero(A)),D)).
% 1.78/2.01    Following clause subsumed by 2230 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),hAPP(c_Int_Onumber__class_Onumber__of(A),C))),D))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),hAPP(c_Int_Onumber__class_Onumber__of(A),C))))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),hAPP(c_Int_Onumber__class_Onumber__of(A),C))),B))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(c_Int_Onumber__class_Onumber__of(A),C)),c_Groups_Ozero__class_Ozero(A))).
% 1.78/2.01    Following clause subsumed by 2231 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),hAPP(c_Int_Onumber__class_Onumber__of(A),C))),D))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),hAPP(c_Int_Onumber__class_Onumber__of(A),C))))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),hAPP(c_Int_Onumber__class_Onumber__of(A),C))),B))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),c_Groups_Ozero__class_Ozero(A)),D)).
% 1.78/2.01    Following clause subsumed by 2290 during input processing: 0 [] {-} hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),A)!=hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),B)|A=hAPP(c_Int_Onat,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),B)).
% 1.78/2.01    Following clause subsumed by 2291 during input processing: 0 [] {-} hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),A)!=hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),B)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),B))).
% 1.78/2.01    Following clause subsumed by 2292 during input processing: 0 [] {-} hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),A)=hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),B)|A!=hAPP(c_Int_Onat,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),B))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),B))).
% 1.78/2.01    Following clause subsumed by 3088 during input processing: 0 [] {-} -class_Int_Onumber__ring(A)|hAPP(c_Int_Onumber__class_Onumber__of(A),c_Int_OPls)=c_Groups_Ozero__class_Ozero(A).
% 1.78/2.02    Following clause subsumed by 3101 during input processing: 0 [] {-} hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),A)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),A),c_Int_OPls)).
% 1.78/2.02    Following clause subsumed by 3103 during input processing: 0 [] {-} hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),A)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),A),c_Int_OPls)).
% 1.78/2.02    Following clause subsumed by 3155 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(A)),c_Int_OBit1(B)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),A),B)).
% 1.78/2.02    Following clause subsumed by 3156 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(A)),c_Int_OBit1(B)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),A),B)).
% 1.78/2.02    Following clause subsumed by 3159 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(A)),c_Int_OBit1(B)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),A),B)).
% 1.78/2.02    Following clause subsumed by 3160 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(A)),c_Int_OBit1(B)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),A),B)).
% 1.78/2.02    Following clause subsumed by 3162 during input processing: 0 [] {-} c_Int_OBit1(A)!=c_Int_OPls.
% 1.78/2.02    Following clause subsumed by 3180 during input processing: 0 [] {-} -class_Int_Onumber__ring(A)|hAPP(c_Int_Onumber__class_Onumber__of(A),c_Int_OBit1(c_Int_OPls))=c_Groups_Oone__class_Oone(A).
% 1.78/2.02    Following clause subsumed by 3185 during input processing: 0 [] {-} -class_Fields_Ofield(A)| -class_Int_Onumber__ring(A)|hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),hAPP(c_Int_Onumber__class_Onumber__of(A),c_Int_OBit1(c_Int_OPls)))=B.
% 1.78/2.02    Following clause subsumed by 3226 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(A)),c_Int_OBit0(B)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),A),B)).
% 1.78/2.02    Following clause subsumed by 3227 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(A)),c_Int_OBit0(B)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),A),B)).
% 1.78/2.02    Following clause subsumed by 3230 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(A)),c_Int_OBit0(B)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),A),B)).
% 1.78/2.02    Following clause subsumed by 3231 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(A)),c_Int_OBit0(B)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),A),B)).
% 1.78/2.02    Following clause subsumed by 3238 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(A)),c_Int_OBit1(B)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),A),B)).
% 1.78/2.02    Following clause subsumed by 3239 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(A)),c_Int_OBit1(B)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),A),B)).
% 1.78/2.02    Following clause subsumed by 3244 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(A)),c_Int_OBit0(B)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),A),B)).
% 1.78/2.02    Following clause subsumed by 3245 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(A)),c_Int_OBit0(B)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),A),B)).
% 1.78/2.02    Following clause subsumed by 3251 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(A)),c_Int_OBit1(B)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),A),B)).
% 1.78/2.04    Following clause subsumed by 3252 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(A)),c_Int_OBit1(B)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),A),B)).
% 1.78/2.04    Following clause subsumed by 3253 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(A)),c_Int_OBit0(B)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),A),B)).
% 1.78/2.04    Following clause subsumed by 3254 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(A)),c_Int_OBit0(B)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),A),B)).
% 1.78/2.04    Following clause subsumed by 3255 during input processing: 0 [] {-} -class_Int_Onumber__ring(A)|hAPP(hAPP(c_Power_Opower__class_Opower(A),hAPP(c_Int_Onumber__class_Onumber__of(A),B)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(C)))=hAPP(hAPP(c_HOL_OLet(A,A),hAPP(hAPP(c_Power_Opower__class_Opower(A),hAPP(c_Int_Onumber__class_Onumber__of(A),B)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),C))),hAPP(hAPP(c_COMBS(A,A,A),c_Groups_Otimes__class_Otimes(A)),c_COMBI(A))).
% 1.78/2.04    Following clause subsumed by 1767 during input processing: 0 [] {-} -class_Rings_Oring__1__no__zero__divisors(A)|hAPP(hAPP(c_Power_Opower__class_Opower(A),B),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))!=c_Groups_Ozero__class_Ozero(A)|B=c_Groups_Ozero__class_Ozero(A).
% 1.78/2.04    Following clause subsumed by 3275 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber__ring(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),hAPP(c_Int_Onumber__class_Onumber__of(A),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),B)).
% 1.78/2.04    Following clause subsumed by 3268 during input processing: 0 [] {-} -class_Groups_Omonoid__mult(A)| -class_Int_Onumber(A)|hAPP(hAPP(c_Power_Opower__class_Opower(A),hAPP(c_Int_Onumber__class_Onumber__of(A),B)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(c_Int_Onumber__class_Onumber__of(A),B)),hAPP(c_Int_Onumber__class_Onumber__of(A),B)).
% 1.78/2.04    Following clause subsumed by 1799 during input processing: 0 [] {-} -class_Rings_Olinordered__semidom(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),hAPP(hAPP(c_Power_Opower__class_Opower(A),C),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),c_Groups_Ozero__class_Ozero(A)),C))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),C)).
% 1.78/2.04    Following clause subsumed by 3335 during input processing: 0 [] {-} c_Int_OBit0(A)!=c_Int_OMin.
% 1.78/2.04    Following clause subsumed by 3338 during input processing: 0 [] {-} c_Int_OPls!=c_Int_OMin.
% 1.78/2.04    Following clause subsumed by 3363 during input processing: 0 [flip.2] {-} -class_Int_Onumber__ring(A)|hAPP(c_Int_Onumber__class_Onumber__of(A),c_Int_OMin)=hAPP(c_Groups_Ouminus__class_Ouminus(A),c_Groups_Oone__class_Oone(A)).
% 1.78/2.04    Following clause subsumed by 3370 during input processing: 0 [] {-} hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),A),B)!=c_Groups_Oone__class_Oone(tc_Int_Oint)|A=c_Groups_Oone__class_Oone(tc_Int_Oint)|A=hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin).
% 1.78/2.04    Following clause subsumed by 3011 during input processing: 0 [] {-} -class_Int_Onumber__ring(A)|hAPP(c_Int_Oring__1__class_Oof__int(A),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin))=hAPP(c_Int_Onumber__class_Onumber__of(A),c_Int_OMin).
% 1.86/2.05    Following clause subsumed by 118 during input processing: 0 [unit_del,3391] {-} -hBOOL(hAPP(hAPP(c_member(tc_prod(A,B)),hAPP(hAPP(c_Product__Type_OPair(A,B),C),D)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(A,B),tc_HOL_Obool)))).
% 1.86/2.05    Following clause subsumed by 3400 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_member(A),B),hAPP(c_Relation_OImage(C,A,D),E)))| -hBOOL(hAPP(hAPP(c_member(C),F),E))| -hBOOL(hAPP(hAPP(c_member(tc_prod(C,A)),hAPP(hAPP(c_Product__Type_OPair(C,A),F),B)),D)).
% 1.86/2.05    Following clause subsumed by 3415 during input processing: 0 [] {-} -c_Equiv__Relations_Oequiv(A,B,C)| -hBOOL(hAPP(hAPP(c_member(tc_fun(A,tc_HOL_Obool)),D),hAPP(hAPP(c_Equiv__Relations_Oquotient(A),B),C)))| -hBOOL(hAPP(hAPP(c_member(tc_fun(A,tc_HOL_Obool)),E),hAPP(hAPP(c_Equiv__Relations_Oquotient(A),B),C)))| -hBOOL(hAPP(hAPP(c_member(A),F),D))| -hBOOL(hAPP(hAPP(c_member(A),G),E))| -hBOOL(hAPP(hAPP(c_member(tc_prod(A,A)),hAPP(hAPP(c_Product__Type_OPair(A,A),F),G)),C))|D=E.
% 1.86/2.05    Following clause subsumed by 3413 during input processing: 0 [] {-} -c_Equiv__Relations_Oequiv(A,B,C)| -hBOOL(hAPP(hAPP(c_member(tc_prod(A,A)),hAPP(hAPP(c_Product__Type_OPair(A,A),D),E)),C))|hAPP(c_Relation_OImage(A,A,C),hAPP(hAPP(c_Set_Oinsert(A),D),c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool))))=hAPP(c_Relation_OImage(A,A,C),hAPP(hAPP(c_Set_Oinsert(A),E),c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool)))).
% 1.86/2.05    Following clause subsumed by 3418 during input processing: 0 [] {-} -c_Equiv__Relations_Oequiv(A,B,C)| -hBOOL(hAPP(hAPP(c_member(A),D),B))| -hBOOL(hAPP(hAPP(c_member(A),E),B))|hAPP(c_Relation_OImage(A,A,C),hAPP(hAPP(c_Set_Oinsert(A),D),c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool))))!=hAPP(c_Relation_OImage(A,A,C),hAPP(hAPP(c_Set_Oinsert(A),E),c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool))))|hBOOL(hAPP(hAPP(c_member(tc_prod(A,A)),hAPP(hAPP(c_Product__Type_OPair(A,A),D),E)),C)).
% 1.86/2.05    Following clause subsumed by 3413 during input processing: 0 [] {-} -c_Equiv__Relations_Oequiv(A,B,C)| -hBOOL(hAPP(hAPP(c_member(A),D),B))| -hBOOL(hAPP(hAPP(c_member(A),E),B))|hAPP(c_Relation_OImage(A,A,C),hAPP(hAPP(c_Set_Oinsert(A),D),c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool))))=hAPP(c_Relation_OImage(A,A,C),hAPP(hAPP(c_Set_Oinsert(A),E),c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool))))| -hBOOL(hAPP(hAPP(c_member(tc_prod(A,A)),hAPP(hAPP(c_Product__Type_OPair(A,A),D),E)),C)).
% 1.86/2.05    Following clause subsumed by 3443 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(A,B),C))|hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(D,E,tc_HOL_Obool),A),hAPP(hAPP(c_Product__Type_OPair(D,E),B),C))).
% 1.86/2.05    Following clause subsumed by 3391 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(A,tc_fun(B,tc_HOL_Obool))),C),D)).
% 1.86/2.05    Following clause subsumed by 3445 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_fun(B,tc_HOL_Obool))),C),D))| -hBOOL(hAPP(hAPP(C,E),F))|hBOOL(hAPP(hAPP(D,E),F)).
% 1.86/2.05    Following clause subsumed by 3440 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(A,tc_fun(B,tc_HOL_Obool))),C),D),E),F))|hBOOL(hAPP(hAPP(C,E),F)).
% 1.86/2.05    Following clause subsumed by 3441 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(A,tc_fun(B,tc_HOL_Obool))),C),D),E),F))|hBOOL(hAPP(hAPP(D,E),F)).
% 1.86/2.05    Following clause subsumed by 3436 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(A,B),C))|hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(D,tc_fun(E,tc_HOL_Obool))),F),A),B),C)).
% 1.86/2.05    Following clause subsumed by 3437 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(A,B),C))|hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(D,tc_fun(E,tc_HOL_Obool))),A),F),B),C)).
% 1.86/2.05    Following clause subsumed by 3448 during input processing: 0 [] {-} hAPP(hAPP(c_Product__Type_OPair(A,B),C),D)!=hAPP(hAPP(c_Product__Type_OPair(A,B),E),F)|C=E.
% 1.86/2.05    Following clause subsumed by 3449 during input processing: 0 [] {-} hAPP(hAPP(c_Product__Type_OPair(A,B),C),D)!=hAPP(hAPP(c_Product__Type_OPair(A,B),E),F)|D=F.
% 1.86/2.06    Following clause subsumed by 3466 during input processing: 0 [flip.3] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),A)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),B)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),A))))|hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),B)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),A)))=c_Divides_OnegDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),B),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),A)).
% 1.86/2.06    Following clause subsumed by 3466 during input processing: 0 [flip.3] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),A))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B),A)))|hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B),A))=c_Divides_OnegDivAlg(B,A).
% 1.86/2.06    Following clause subsumed by 3478 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),A)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),B)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),A)))|c_Divides_OposDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),B),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),A))=hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),B)).
% 1.86/2.06    Following clause subsumed by 3478 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),A))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B),A))|c_Divides_OposDivAlg(B,A)=hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B).
% 1.86/2.06    Following clause subsumed by 3498 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),B))|c_Divides_Odivmod__nat(A,B)=hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),A).
% 1.86/2.06    Following clause subsumed by 3496 during input processing: 0 [] {-} A!=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|c_Divides_Odivmod__int(A,B)=hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 1.86/2.06    Following clause subsumed by 3497 during input processing: 0 [] {-} A=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|B!=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|c_Divides_Odivmod__int(A,B)=hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),A).
% 1.86/2.06    Following clause subsumed by 3466 during input processing: 0 [flip.3] {-} -hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_Divides_OnegDivAlg__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),A),B)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),B)))|hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),B))=c_Divides_OnegDivAlg(A,B).
% 1.89/2.08    Following clause subsumed by 3468 during input processing: 0 [flip.3] {-} -hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_Divides_OnegDivAlg__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),A),B)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),B))=c_Divides_OnegDivAlg(A,B).
% 1.89/2.08    Following clause subsumed by 3478 during input processing: 0 [] {-} -hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_Divides_OposDivAlg__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),A),B)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),A),B))|c_Divides_OposDivAlg(A,B)=hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),A).
% 1.89/2.08    Following clause subsumed by 3479 during input processing: 0 [] {-} -hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_Divides_OposDivAlg__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),A),B)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|c_Divides_OposDivAlg(A,B)=hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),A).
% 1.89/2.08    Following clause subsumed by 3521 during input processing: 0 [] {-} -hBOOL(hAPP(c_Wellfounded_Oaccp(A,B),C))| -hBOOL(hAPP(hAPP(B,D),C))|hBOOL(hAPP(c_Wellfounded_Oaccp(A,B),D)).
% 1.89/2.08    Following clause subsumed by 3521 during input processing: 0 [] {-} -hBOOL(hAPP(c_Wellfounded_Oaccp(A,B),C))| -hBOOL(hAPP(hAPP(B,D),C))|hBOOL(hAPP(c_Wellfounded_Oaccp(A,B),D)).
% 1.89/2.08    Following clause subsumed by 3433 during input processing: 0 [flip.3] {-} -hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_Nitpick_Onorm__frac__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),A),B)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|c_Nitpick_Onorm__frac(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),A),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),B))=c_Nitpick_Onorm__frac(A,B).
% 1.89/2.08    Following clause subsumed by 3434 during input processing: 0 [] {-} -hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_Nitpick_Onorm__frac__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),A),B)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|A!=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|c_Nitpick_Onorm__frac(A,B)=hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint)).
% 1.89/2.08    Following clause subsumed by 3435 during input processing: 0 [] {-} -hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_Nitpick_Onorm__frac__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),A),B)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|B!=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|c_Nitpick_Onorm__frac(A,B)=hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint)).
% 1.89/2.08    Following clause subsumed by 2970 during input processing: 0 [] {-} -hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Nitpick_Onat__gcd__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),A),B)))|B!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|c_Nitpick_Onat__gcd(A,B)=A.
% 1.89/2.08    Following clause subsumed by 3555 during input processing: 0 [] {-} hAPP(c_Product__Type_Ofst(A,B),C)!=hAPP(c_Product__Type_Ofst(A,B),D)|hAPP(c_Product__Type_Osnd(A,B),C)!=hAPP(c_Product__Type_Osnd(A,B),D)|C=D.
% 1.89/2.08    Following clause subsumed by 3630 during input processing: 0 [] {-} A!=B| -hBOOL(hAPP(hAPP(c_member(C),A),D))|hBOOL(hAPP(hAPP(c_member(tc_prod(C,C)),hAPP(hAPP(c_Product__Type_OPair(C,C),A),B)),c_Relation_OId__on(C,D))).
% 1.89/2.11    Following clause subsumed by 3654 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(A),B),c_Wellfounded_Oacc(A,C)))| -hBOOL(hAPP(hAPP(c_member(tc_prod(A,A)),hAPP(hAPP(c_Product__Type_OPair(A,A),D),B)),C))|hBOOL(hAPP(hAPP(c_member(A),D),c_Wellfounded_Oacc(A,C))).
% 1.89/2.11    Following clause subsumed by 3677 during input processing: 0 [] {-} c_Predicate_Opred__comp(A,B,C,D,E,F,G)| -hBOOL(hAPP(hAPP(D,F),H))| -hBOOL(hAPP(hAPP(E,H),G)).
% 1.89/2.11    Following clause subsumed by 3691 during input processing: 0 [] {-} -c_Wellfounded_Owf(A,B)| -hBOOL(hAPP(hAPP(c_member(tc_prod(A,A)),hAPP(hAPP(c_Product__Type_OPair(A,A),C),D)),B))| -hBOOL(hAPP(hAPP(c_member(tc_prod(A,A)),hAPP(hAPP(c_Product__Type_OPair(A,A),D),C)),B)).
% 1.89/2.11    Following clause subsumed by 3690 during input processing: 0 [] {-} -c_Wellfounded_Owf(A,B)| -hBOOL(hAPP(hAPP(c_member(tc_prod(A,A)),hAPP(hAPP(c_Product__Type_OPair(A,A),C),C)),B)).
% 1.89/2.11    Following clause subsumed by 3692 during input processing: 0 [] {-} -c_Wellfounded_Owf(A,B)|hBOOL(hAPP(hAPP(c_member(A),C),c_Wellfounded_Oacc(A,B))).
% 1.89/2.11    Following clause subsumed by 3712 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_member(A),B),hAPP(c_Relation_ORange(C,A),D)))| -hBOOL(hAPP(hAPP(c_member(tc_prod(C,A)),hAPP(hAPP(c_Product__Type_OPair(C,A),E),B)),D)).
% 1.89/2.11    Following clause subsumed by 3719 during input processing: 0 [] {-} hBOOL(hAPP(c_Predicate_ORangeP(A,B,C),D))| -hBOOL(hAPP(hAPP(C,E),D)).
% 1.89/2.11    Following clause subsumed by 3723 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_member(A),B),hAPP(c_Relation_ODomain(A,C),D)))| -hBOOL(hAPP(hAPP(c_member(tc_prod(A,C)),hAPP(hAPP(c_Product__Type_OPair(A,C),B),E)),D)).
% 1.89/2.11    Following clause subsumed by 3732 during input processing: 0 [] {-} hBOOL(hAPP(c_Predicate_ODomainP(A,B,C),D))| -hBOOL(hAPP(hAPP(C,D),E)).
% 1.89/2.11    Following clause subsumed by 3746 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(tc_prod(A,B)),hAPP(hAPP(c_Product__Type_OPair(A,B),C),D)),hAPP(hAPP(c_Product__Type_OSigma(A,B),E),F)))|hBOOL(hAPP(hAPP(c_member(B),D),hAPP(F,C))).
% 1.89/2.11    Following clause subsumed by 3745 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(tc_prod(A,B)),hAPP(hAPP(c_Product__Type_OPair(A,B),C),D)),hAPP(hAPP(c_Product__Type_OSigma(A,B),E),F)))|hBOOL(hAPP(hAPP(c_member(A),C),E)).
% 1.89/2.11    Following clause subsumed by 3745 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(tc_prod(A,B)),hAPP(hAPP(c_Product__Type_OPair(A,B),C),D)),hAPP(hAPP(c_Product__Type_OSigma(A,B),E),F)))|hBOOL(hAPP(hAPP(c_member(A),C),E)).
% 1.89/2.11    Following clause subsumed by 3746 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(tc_prod(A,B)),hAPP(hAPP(c_Product__Type_OPair(A,B),C),D)),hAPP(hAPP(c_Product__Type_OSigma(A,B),E),F)))|hBOOL(hAPP(hAPP(c_member(B),D),hAPP(F,C))).
% 1.89/2.11    Following clause subsumed by 3733 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_member(tc_prod(A,B)),hAPP(hAPP(c_Product__Type_OPair(A,B),C),D)),hAPP(hAPP(c_Product__Type_OSigma(A,B),E),F)))| -hBOOL(hAPP(hAPP(c_member(A),C),E))| -hBOOL(hAPP(hAPP(c_member(B),D),hAPP(F,C))).
% 1.89/2.11    Following clause subsumed by 3765 during input processing: 0 [] {-} -c_Fun_Oinj__on(A,B,C,c_Orderings_Otop__class_Otop(tc_fun(A,tc_HOL_Obool)))|hAPP(c_Fun_Ocomp(B,A,A,c_Hilbert__Choice_Oinv__into(A,B,c_Orderings_Otop__class_Otop(tc_fun(A,tc_HOL_Obool)),C)),C)=c_Fun_Oid(A).
% 1.89/2.11    Following clause subsumed by 3793 during input processing: 0 [] {-} -c_Wellfounded_OwfP(A,B)|hBOOL(hAPP(c_Wellfounded_Oaccp(A,B),C)).
% 1.89/2.11    Following clause subsumed by 3788 during input processing: 0 [] {-} -c_Relation_Orefl__on(A,B,C)| -hBOOL(hAPP(hAPP(c_member(A),D),B))|hBOOL(hAPP(hAPP(c_member(tc_prod(A,A)),hAPP(hAPP(c_Product__Type_OPair(A,A),D),D)),C)).
% 1.89/2.11    Following clause subsumed by 3810 during input processing: 0 [] {-} -hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(A,A)),B))| -c_Wellfounded_Owf(A,B)|c_Wellfounded_Oacyclic(A,B).
% 1.89/2.11    Following clause subsumed by 3811 during input processing: 0 [] {-} -hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(A,A)),B))| -c_Wellfounded_Oacyclic(A,B)|c_Wellfounded_Owf(A,B).
% 1.89/2.11    Following clause subsumed by 3788 during input processing: 0 [] {-} -c_Relation_Orefl__on(A,B,C)| -hBOOL(hAPP(hAPP(c_member(A),D),B))|hBOOL(hAPP(hAPP(c_member(tc_prod(A,A)),hAPP(hAPP(c_Product__Type_OPair(A,A),D),D)),C)).
% 1.95/2.15    Following clause subsumed by 118 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(A),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool))))|hBOOL(hAPP(C,B)).
% 1.95/2.15    Following clause subsumed by 3845 during input processing: 0 [] {-} -hBOOL(hAPP(A,B))|hBOOL(hAPP(A,c_Hilbert__Choice_OEps(C,A))).
% 1.95/2.15    Following clause subsumed by 3845 during input processing: 0 [] {-} -hBOOL(hAPP(A,B))|hBOOL(hAPP(A,c_Hilbert__Choice_OEps(C,A))).
% 1.95/2.15    Following clause subsumed by 3845 during input processing: 0 [] {-} hBOOL(hAPP(A,c_Hilbert__Choice_OEps(B,A)))| -hBOOL(hAPP(A,C)).
% 1.95/2.15    Following clause subsumed by 3854 during input processing: 0 [] {-} -hBOOL(hAPP(A,B))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(C,c_Hilbert__Choice_OLeastM(D,tc_Nat_Onat,C,A))),hAPP(C,B))).
% 1.95/2.15    Following clause subsumed by 3852 during input processing: 0 [] {-} -hBOOL(hAPP(A,B))|hBOOL(hAPP(A,c_Hilbert__Choice_OLeastM(C,tc_Nat_Onat,D,A))).
% 1.95/2.15    Following clause subsumed by 3902 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_member(tc_prod(A,A)),hAPP(hAPP(c_Product__Type_OPair(A,A),B),C)),c_Transitive__Closure_Ortrancl(A,D)))|B=C| -hBOOL(hAPP(hAPP(c_member(tc_prod(A,A)),hAPP(hAPP(c_Product__Type_OPair(A,A),B),C)),c_Transitive__Closure_Otrancl(A,D))).
% 1.95/2.15    Following clause subsumed by 3915 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(tc_prod(A,A)),hAPP(hAPP(c_Product__Type_OPair(A,A),B),C)),c_Transitive__Closure_Ortrancl(A,D)))|B=C|hBOOL(hAPP(hAPP(c_member(tc_prod(A,A)),hAPP(hAPP(c_Product__Type_OPair(A,A),B),C)),c_Transitive__Closure_Otrancl(A,D))).
% 1.95/2.15    Following clause subsumed by 3916 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_member(A),B),hAPP(c_Relation_ODomain(A,A),C)))|hBOOL(hAPP(hAPP(c_member(tc_prod(A,A)),hAPP(hAPP(c_Product__Type_OPair(A,A),B),D)),c_Transitive__Closure_Ortrancl(A,C)))|B!=D.
% 1.95/2.15    Following clause subsumed by 3922 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(tc_prod(A,A)),hAPP(hAPP(c_Product__Type_OPair(A,A),B),C)),c_Transitive__Closure_Ortrancl(A,D)))| -hBOOL(hAPP(hAPP(c_member(A),C),c_Wellfounded_Oacc(A,D)))|hBOOL(hAPP(hAPP(c_member(A),B),c_Wellfounded_Oacc(A,D))).
% 1.95/2.15    Following clause subsumed by 3936 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(tc_prod(A,B)),hAPP(hAPP(c_Product__Type_OPair(A,B),C),D)),hAPP(c_Relation_Oconverse(B,A),E)))|hBOOL(hAPP(hAPP(c_member(tc_prod(B,A)),hAPP(hAPP(c_Product__Type_OPair(B,A),D),C)),E)).
% 1.95/2.15    Following clause subsumed by 3937 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_member(tc_prod(A,B)),hAPP(hAPP(c_Product__Type_OPair(A,B),C),D)),hAPP(c_Relation_Oconverse(B,A),E)))| -hBOOL(hAPP(hAPP(c_member(tc_prod(B,A)),hAPP(hAPP(c_Product__Type_OPair(B,A),D),C)),E)).
% 1.95/2.15    Following clause subsumed by 3958 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(tc_prod(A,A)),B),hAPP(hAPP(c_Nat_Ocompow(tc_prod(A,A),tc_HOL_Obool),C),D)))|hBOOL(hAPP(hAPP(c_member(tc_prod(A,A)),B),c_Transitive__Closure_Ortrancl(A,D))).
% 1.95/2.15    Following clause subsumed by 3995 during input processing: 0 [] {-} -c_Relation_Osingle__valued(A,B,C)| -hBOOL(hAPP(hAPP(c_member(tc_prod(A,B)),hAPP(hAPP(c_Product__Type_OPair(A,B),D),E)),C))| -hBOOL(hAPP(hAPP(c_member(tc_prod(A,B)),hAPP(hAPP(c_Product__Type_OPair(A,B),D),F)),C))|E=F.
% 1.95/2.15    Following clause subsumed by 4029 during input processing: 0 [] {-} -class_Lattices_Olattice(A)| -hBOOL(hAPP(c_Finite__Set_Ofinite(A),B))|hBOOL(hAPP(hAPP(c_member(A),C),B))|c_Big__Operators_Olattice__class_OSup__fin(A,hAPP(hAPP(c_Set_Oinsert(A),C),B))=hAPP(hAPP(c_Finite__Set_Ofold(A,A,c_Lattices_Osemilattice__sup__class_Osup(A)),C),B).
% 1.95/2.15    Following clause subsumed by 4030 during input processing: 0 [] {-} -class_Lattices_Olattice(A)| -hBOOL(hAPP(c_Finite__Set_Ofinite(A),B))|hBOOL(hAPP(hAPP(c_member(A),C),B))|c_Big__Operators_Olattice__class_OInf__fin(A,hAPP(hAPP(c_Set_Oinsert(A),C),B))=hAPP(hAPP(c_Finite__Set_Ofold(A,A,c_Lattices_Osemilattice__inf__class_Oinf(A)),C),B).
% 1.95/2.17    Following clause subsumed by 4031 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -hBOOL(hAPP(c_Finite__Set_Ofinite(A),B))|hBOOL(hAPP(hAPP(c_member(A),C),B))|c_Big__Operators_Olinorder__class_OMin(A,hAPP(hAPP(c_Set_Oinsert(A),C),B))=hAPP(hAPP(c_Finite__Set_Ofold(A,A,c_Orderings_Oord__class_Omin(A)),C),B).
% 1.95/2.17    Following clause subsumed by 4032 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -hBOOL(hAPP(c_Finite__Set_Ofinite(A),B))|hBOOL(hAPP(hAPP(c_member(A),C),B))|c_Big__Operators_Olinorder__class_OMax(A,hAPP(hAPP(c_Set_Oinsert(A),C),B))=hAPP(hAPP(c_Finite__Set_Ofold(A,A,c_Orderings_Oord__class_Omax(A)),C),B).
% 1.95/2.17    Following clause subsumed by 4033 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -hBOOL(hAPP(c_Finite__Set_Ofinite(A),B))|hBOOL(hAPP(hAPP(c_member(A),C),B))|c_Big__Operators_Olattice_OInf__fin(A,c_Orderings_Oord__class_Omin(A),hAPP(hAPP(c_Set_Oinsert(A),C),B))=hAPP(hAPP(c_Finite__Set_Ofold(A,A,c_Orderings_Oord__class_Omin(A)),C),B).
% 1.95/2.17    Following clause subsumed by 4058 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,tc_fun(B,tc_HOL_Obool)),C),D),E))| -hBOOL(hAPP(hAPP(c_member(A),F),C))|hBOOL(hAPP(hAPP(D,F),E)).
% 1.95/2.17    Following clause subsumed by 4059 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(A),B),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(C,tc_fun(A,tc_HOL_Obool)),D),E)))|hBOOL(hAPP(hAPP(c_member(A),B),hAPP(E,F)))| -hBOOL(hAPP(hAPP(c_member(C),F),D)).
% 1.95/2.17    Following clause subsumed by 4060 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,tc_fun(B,tc_fun(C,tc_HOL_Obool))),D),E),F),G))|hBOOL(hAPP(hAPP(hAPP(E,H),F),G))| -hBOOL(hAPP(hAPP(c_member(A),H),D)).
% 1.95/2.17    Following clause subsumed by 4059 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(A),B),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(C,tc_fun(A,tc_HOL_Obool)),D),E)))| -hBOOL(hAPP(hAPP(c_member(C),F),D))|hBOOL(hAPP(hAPP(c_member(A),B),hAPP(E,F))).
% 1.95/2.17    Following clause subsumed by 4104 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(A),B),c_Complete__Lattice_OInf__class_OInf(tc_fun(A,tc_HOL_Obool),C)))| -hBOOL(hAPP(hAPP(c_member(tc_fun(A,tc_HOL_Obool)),D),C))|hBOOL(hAPP(hAPP(c_member(A),B),D)).
% 1.95/2.17    Following clause subsumed by 4060 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,tc_fun(B,tc_fun(C,tc_HOL_Obool))),D),E),F),G))| -hBOOL(hAPP(hAPP(c_member(A),H),D))|hBOOL(hAPP(hAPP(hAPP(E,H),F),G)).
% 1.95/2.17    Following clause subsumed by 4058 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,tc_fun(B,tc_HOL_Obool)),C),D),E))| -hBOOL(hAPP(hAPP(c_member(A),F),C))|hBOOL(hAPP(hAPP(D,F),E)).
% 1.95/2.17    Following clause subsumed by 2696 during input processing: 0 [flip.2] {-} -class_Divides_Osemiring__div(A)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(hAPP(c_Divides_Odiv__class_Odiv(A),B),C)),C)),c_Divides_Odiv__class_Omod(A,B,C))=B.
% 1.95/2.17    Following clause subsumed by 4198 during input processing: 0 [] {-} hAPP(c_Map_Omap__add(A,B,C,D),E)=hAPP(c_Option_Ooption_OSome(B),F)|hAPP(D,E)!=hAPP(c_Option_Ooption_OSome(B),F).
% 1.95/2.17    Following clause subsumed by 4203 during input processing: 0 [] {-} hAPP(c_Map_Omap__add(A,B,C,D),E)!=hAPP(c_Option_Ooption_OSome(B),F)|hAPP(D,E)=hAPP(c_Option_Ooption_OSome(B),F)|hAPP(D,E)=c_Option_Ooption_ONone(B).
% 1.95/2.17    Following clause subsumed by 4204 during input processing: 0 [] {-} hAPP(c_Map_Omap__add(A,B,C,D),E)!=hAPP(c_Option_Ooption_OSome(B),F)|hAPP(D,E)=hAPP(c_Option_Ooption_OSome(B),F)|hAPP(C,E)=hAPP(c_Option_Ooption_OSome(B),F).
% 1.95/2.20    Following clause subsumed by 4213 during input processing: 0 [] {-} -hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_fun(tc_Int_Oint,tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))),tc_prod(tc_Int_Oint,tc_Int_Oint)),c_Smallcheck_Osmall_H__rel),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_Int_Oint,tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))),tc_prod(tc_Int_Oint,tc_Int_Oint)),A),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),B),C))))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B),C))|c_Smallcheck_Osmall_H(A,B,C)=c_Option_Ooption_ONone(tc_List_Olist(tc_Code__Evaluation_Oterm)).
% 1.95/2.20    Following clause subsumed by 4221 during input processing: 0 [] {-} c_Fun_Oinj__on(tc_List_Olist(A),tc_List_Olist(B),hAPP(c_List_Omap(A,B),C),c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(A),tc_HOL_Obool)))| -c_Fun_Oinj__on(A,B,C,c_Orderings_Otop__class_Otop(tc_fun(A,tc_HOL_Obool))).
% 1.95/2.20    Following clause subsumed by 4222 during input processing: 0 [] {-} -c_Fun_Oinj__on(tc_List_Olist(A),tc_List_Olist(B),hAPP(c_List_Omap(A,B),C),c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(A),tc_HOL_Obool)))|c_Fun_Oinj__on(A,B,C,c_Orderings_Otop__class_Otop(tc_fun(A,tc_HOL_Obool))).
% 1.95/2.20    Following clause subsumed by 4223 during input processing: 0 [] {-} hAPP(hAPP(c_List_Omap(A,B),C),D)!=hAPP(hAPP(c_List_Omap(A,B),C),E)| -c_Fun_Oinj__on(A,B,C,c_Orderings_Otop__class_Otop(tc_fun(A,tc_HOL_Obool)))|D=E.
% 1.95/2.20    Following clause subsumed by 4229 during input processing: 0 [] {-} c_Map_Omap__comp(A,B,C,D,E,F)=c_Option_Ooption_ONone(B)|hAPP(E,F)!=c_Option_Ooption_ONone(A).
% 1.95/2.20    Following clause subsumed by 4244 during input processing: 0 [] {-} hAPP(hAPP(c_List_Olist_OCons(A),B),C)!=C.
% 1.95/2.20    Following clause subsumed by 4248 during input processing: 0 [] {-} -c_Fun_Oinj__on(A,B,C,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool)),hAPP(c_List_Oset(A),D)),hAPP(c_List_Oset(A),E)))|hAPP(hAPP(c_List_Omap(A,B),C),D)!=hAPP(hAPP(c_List_Omap(A,B),C),E)|D=E.
% 1.95/2.20    Following clause subsumed by 4252 during input processing: 0 [] {-} hAPP(hAPP(c_Map_Omap__of(A,B),C),D)!=hAPP(c_Option_Ooption_OSome(B),E)|hBOOL(hAPP(hAPP(c_member(tc_prod(A,B)),hAPP(hAPP(c_Product__Type_OPair(A,B),D),E)),hAPP(c_List_Oset(tc_prod(A,B)),C))).
% 1.95/2.20    Following clause subsumed by 4252 during input processing: 0 [] {-} -hBOOL(hAPP(c_List_Odistinct(A),hAPP(hAPP(c_List_Omap(tc_prod(A,B),A),c_Product__Type_Ofst(A,B)),C)))|hAPP(hAPP(c_Map_Omap__of(A,B),C),D)!=hAPP(c_Option_Ooption_OSome(B),E)|hBOOL(hAPP(hAPP(c_member(tc_prod(A,B)),hAPP(hAPP(c_Product__Type_OPair(A,B),D),E)),hAPP(c_List_Oset(tc_prod(A,B)),C))).
% 1.95/2.20    Following clause subsumed by 4285 during input processing: 0 [] {-} -hBOOL(hAPP(c_List_Odistinct(A),hAPP(hAPP(c_List_Omap(tc_prod(A,B),A),c_Product__Type_Ofst(A,B)),C)))|hAPP(hAPP(c_Map_Omap__of(A,B),C),D)=hAPP(c_Option_Ooption_OSome(B),E)| -hBOOL(hAPP(hAPP(c_member(tc_prod(A,B)),hAPP(hAPP(c_Product__Type_OPair(A,B),D),E)),hAPP(c_List_Oset(tc_prod(A,B)),C))).
% 1.95/2.20    Following clause subsumed by 4321 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_member(A),B),hAPP(c_List_Oset(A),C)))| -hBOOL(hAPP(hAPP(c_member(A),B),hAPP(c_List_Oset(A),c_List_Osublist(A,C,D)))).
% 1.95/2.20    Following clause subsumed by 4356 during input processing: 0 [] {-} c_List_Olistrelp(A,B,hAPP(hAPP(c_List_Olist_OCons(A),C),D),hAPP(hAPP(c_List_Olist_OCons(A),E),F))| -hBOOL(hAPP(hAPP(B,C),E))| -c_List_Olistrelp(A,B,D,F).
% 1.95/2.20    Following clause subsumed by 4346 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(A),tc_List_Olist(A))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(A),tc_List_Olist(A)),B),C)),c_List_Olistrel(A,D)))|hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(A)),B)=hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(A)),C).
% 1.95/2.20    Following clause subsumed by 4298 during input processing: 0 [] {-} A!=B|hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(C)),A)=hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(C)),B).
% 1.95/2.20    Following clause subsumed by 4380 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(tc_prod(A,B)),hAPP(hAPP(c_Product__Type_OPair(A,B),C),D)),hAPP(c_List_Oset(tc_prod(A,B)),hAPP(hAPP(c_List_Ozip(A,B),E),F))))|hBOOL(hAPP(hAPP(c_member(A),C),hAPP(c_List_Oset(A),E))).
% 1.95/2.20    Following clause subsumed by 4381 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(tc_prod(A,B)),hAPP(hAPP(c_Product__Type_OPair(A,B),C),D)),hAPP(c_List_Oset(tc_prod(A,B)),hAPP(hAPP(c_List_Ozip(A,B),E),F))))|hBOOL(hAPP(hAPP(c_member(B),D),hAPP(c_List_Oset(B),F))).
% 1.95/2.20    Following clause subsumed by 4400 during input processing: 0 [] {-} -class_Enum_Oenum(A)|c_Orderings_Otop__class_Otop(tc_fun(A,tc_HOL_Obool))=hAPP(c_List_Oset(A),c_Enum_Oenum__class_Oenum(A)).
% 2.03/2.21    Following clause subsumed by 4402 during input processing: 0 [flip.4] {-} -class_Enum_Oenum(A)| -class_HOL_Oequal(A)| -class_Enum_Oenum(B)|hAPP(hAPP(c_List_Omap(tc_List_Olist(B),tc_fun(A,B)),hAPP(hAPP(c_COMBB(tc_fun(A,tc_Option_Ooption(B)),tc_fun(A,B),tc_List_Olist(B)),c_Fun_Ocomp(tc_Option_Ooption(B),B,A,c_Option_Othe(B))),hAPP(hAPP(c_COMBB(tc_List_Olist(tc_prod(A,B)),tc_fun(A,tc_Option_Ooption(B)),tc_List_Olist(B)),c_Map_Omap__of(A,B)),hAPP(c_List_Ozip(A,B),c_Enum_Oenum__class_Oenum(A))))),c_Enum_On__lists(B,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(A)),c_Enum_Oenum__class_Oenum(A)),c_Enum_Oenum__class_Oenum(B)))=c_Enum_Oenum__class_Oenum(tc_fun(A,B)).
% 2.03/2.21    Following clause subsumed by 4403 during input processing: 0 [] {-} -class_Enum_Oenum(A)| -class_Enum_Oenum(B)| -class_HOL_Oequal(B)| -hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(tc_fun(B,A)),C))|c_Enum_Oex__n__lists(A,hAPP(hAPP(c_COMBB(tc_fun(B,A),tc_HOL_Obool,tc_List_Olist(A)),C),hAPP(hAPP(c_COMBB(tc_fun(B,tc_Option_Ooption(A)),tc_fun(B,A),tc_List_Olist(A)),c_Fun_Ocomp(tc_Option_Ooption(A),A,B,c_Option_Othe(A))),hAPP(hAPP(c_COMBB(tc_List_Olist(tc_prod(B,A)),tc_fun(B,tc_Option_Ooption(A)),tc_List_Olist(A)),c_Map_Omap__of(B,A)),hAPP(c_List_Ozip(B,A),c_Enum_Oenum__class_Oenum(B))))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(B)),c_Enum_Oenum__class_Oenum(B))).
% 2.03/2.21    Following clause subsumed by 4404 during input processing: 0 [] {-} -class_Enum_Oenum(A)| -class_Enum_Oenum(B)| -class_HOL_Oequal(B)|hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(tc_fun(B,A)),C))| -c_Enum_Oex__n__lists(A,hAPP(hAPP(c_COMBB(tc_fun(B,A),tc_HOL_Obool,tc_List_Olist(A)),C),hAPP(hAPP(c_COMBB(tc_fun(B,tc_Option_Ooption(A)),tc_fun(B,A),tc_List_Olist(A)),c_Fun_Ocomp(tc_Option_Ooption(A),A,B,c_Option_Othe(A))),hAPP(hAPP(c_COMBB(tc_List_Olist(tc_prod(B,A)),tc_fun(B,tc_Option_Ooption(A)),tc_List_Olist(A)),c_Map_Omap__of(B,A)),hAPP(c_List_Ozip(B,A),c_Enum_Oenum__class_Oenum(B))))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(B)),c_Enum_Oenum__class_Oenum(B))).
% 2.03/2.21    Following clause subsumed by 4298 during input processing: 0 [] {-} A!=B|hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(C)),A)=hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(C)),B).
% 2.03/2.21    Following clause subsumed by 4426 during input processing: 0 [] {-} -hBOOL(hAPP(c_List_Odistinct(A),B))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),C),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(A)),B)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),D),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(A)),B)))|C=D|hAPP(hAPP(c_List_Onth(A),B),C)!=hAPP(hAPP(c_List_Onth(A),B),D).
% 2.03/2.21    Following clause subsumed by 4436 during input processing: 0 [] {-} hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),A)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hAPP(hAPP(c_List_Onth(B),hAPP(hAPP(c_List_Olist_OCons(B),C),D)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),A))=C.
% 2.03/2.21    Following clause subsumed by 4346 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(A),tc_List_Olist(A))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(A),tc_List_Olist(A)),B),C)),c_List_Olistrel(A,D)))|hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(A)),B)=hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(A)),C).
% 2.03/2.21    Following clause subsumed by 4461 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),A),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))| -hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))|hAPP(c_Code__Numeral_Oof__nat,A)!=hAPP(c_Code__Numeral_Oof__nat,B)|A=B.
% 2.03/2.21    Following clause subsumed by 4462 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),A),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))| -hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))|hAPP(c_Code__Numeral_Oof__nat,A)=hAPP(c_Code__Numeral_Oof__nat,B)|A!=B.
% 2.03/2.21    Following clause subsumed by 4489 during input processing: 0 [] {-} hAPP(c_Code__Numeral_Onat__of,A)!=hAPP(c_Code__Numeral_Onat__of,B)|A=B.
% 2.03/2.25    Following clause subsumed by 4490 during input processing: 0 [] {-} hAPP(c_Code__Numeral_Onat__of,A)=hAPP(c_Code__Numeral_Onat__of,B)|A!=B.
% 2.03/2.25    Following clause subsumed by 4501 during input processing: 0 [] {-} A!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hAPP(hAPP(c_List_Otake(B),A),hAPP(hAPP(c_List_Olist_OCons(B),C),D))=c_List_Olist_ONil(B).
% 2.03/2.25    Following clause subsumed by 4527 during input processing: 0 [flip.2] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),A)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),B)))|hAPP(hAPP(c_List_Olist_OCons(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),A)),c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),A)),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),B)))=c_List_Oupto(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),A),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),B)).
% 2.03/2.25    Following clause subsumed by 4501 during input processing: 0 [] {-} hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),A)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hAPP(hAPP(c_List_Otake(B),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),A)),hAPP(hAPP(c_List_Olist_OCons(B),C),D))=c_List_Olist_ONil(B).
% 2.03/2.25    Following clause subsumed by 4527 during input processing: 0 [flip.3] {-} -hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_List_Oupto__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),A),B)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),A),B))|hAPP(hAPP(c_List_Olist_OCons(tc_Int_Oint),A),c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),c_Groups_Oone__class_Oone(tc_Int_Oint)),B))=c_List_Oupto(A,B).
% 2.03/2.25    Following clause subsumed by 4558 during input processing: 0 [] {-} hAPP(hAPP(c_List_Oappend(A),B),C)!=B|C=c_List_Olist_ONil(A).
% 2.03/2.25    Following clause subsumed by 4560 during input processing: 0 [] {-} hAPP(hAPP(c_List_Oappend(A),B),C)=B|C!=c_List_Olist_ONil(A).
% 2.03/2.25    Following clause subsumed by 4562 during input processing: 0 [] {-} hAPP(hAPP(c_List_Oappend(A),B),C)!=C|B=c_List_Olist_ONil(A).
% 2.03/2.25    Following clause subsumed by 4564 during input processing: 0 [] {-} hAPP(hAPP(c_List_Oappend(A),B),C)=C|B!=c_List_Olist_ONil(A).
% 2.03/2.25    Following clause subsumed by 4572 during input processing: 0 [] {-} hAPP(hAPP(c_List_Oappend(A),B),C)=hAPP(hAPP(c_List_Oappend(A),D),E)|hAPP(hAPP(c_List_Oappend(A),B),F)!=D|C!=hAPP(hAPP(c_List_Oappend(A),F),E).
% 2.03/2.25    Following clause subsumed by 4550 during input processing: 0 [] {-} hAPP(hAPP(c_List_Olist_OCons(A),B),C)!=D|E!=hAPP(hAPP(c_List_Oappend(A),C),F)|hAPP(hAPP(c_List_Olist_OCons(A),B),E)=hAPP(hAPP(c_List_Oappend(A),D),F).
% 2.03/2.25    Following clause subsumed by 4590 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(B)),C)))|hAPP(hAPP(c_List_Olist__update(B,hAPP(hAPP(c_List_Oappend(B),C),D)),A),E)=hAPP(hAPP(c_List_Oappend(B),hAPP(hAPP(c_List_Olist__update(B,C),A),E)),D).
% 2.03/2.25    Following clause subsumed by 4625 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(A)),B)),C))|hAPP(hAPP(c_List_Odrop(A),C),B)=c_List_Olist_ONil(A).
% 2.03/2.25    Following clause subsumed by 4631 during input processing: 0 [] {-} hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),A)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hAPP(hAPP(c_List_Odrop(B),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),A)),hAPP(hAPP(c_List_Olist_OCons(B),C),D))=hAPP(hAPP(c_List_Olist_OCons(B),C),D).
% 2.03/2.25    Following clause subsumed by 4692 during input processing: 0 [] {-} A!=c_List_Olist_ONil(B)|c_List_Olast(B,hAPP(hAPP(c_List_Oappend(B),C),A))=c_List_Olast(B,C).
% 2.03/2.25    Following clause subsumed by 4693 during input processing: 0 [] {-} A!=c_List_Olist_ONil(B)|c_List_Olast(B,hAPP(hAPP(c_List_Olist_OCons(B),C),A))=C.
% 2.03/2.27    Following clause subsumed by 4750 during input processing: 0 [flip.2] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),A),B))|hAPP(hAPP(c_List_Oappend(tc_Nat_Onat),c_List_Oupt(A,B)),hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat),B),c_List_Olist_ONil(tc_Nat_Onat)))=c_List_Oupt(A,hAPP(c_Nat_OSuc,B)).
% 2.03/2.27    Following clause subsumed by 4753 during input processing: 0 [] {-} c_List_Oupt(A,B)=c_List_Olist_ONil(tc_Nat_Onat)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B),A)).
% 2.03/2.27    Following clause subsumed by 4758 during input processing: 0 [flip.2] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),B))|hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat),A),c_List_Oupt(hAPP(c_Nat_OSuc,A),B))=c_List_Oupt(A,B).
% 2.03/2.27    Following clause subsumed by 4758 during input processing: 0 [flip.2] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),A)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),B)))|hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),A)),c_List_Oupt(hAPP(c_Nat_OSuc,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),A)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),B)))=c_List_Oupt(hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),A),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),B)).
% 2.03/2.27    Following clause subsumed by 4775 during input processing: 0 [] {-} -hBOOL(hAPP(c_List_Odistinct(A),B))|c_List_Oremdups(A,B)=B.
% 2.03/2.27    Following clause subsumed by 4298 during input processing: 0 [] {-} hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(A)),c_List_Oremdups(A,B))=hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(A)),B)|c_List_Oremdups(A,B)!=B.
% 2.03/2.27    Following clause subsumed by 4793 during input processing: 0 [] {-} A=B| -hBOOL(hAPP(hAPP(c_member(C),A),hAPP(c_List_Oset(C),c_List_Oremove1(C,B,D))))|hBOOL(hAPP(hAPP(c_member(C),A),hAPP(c_List_Oset(C),D))).
% 2.03/2.27    Following clause subsumed by 4849 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_List_Olinorder__class_Osorted(A,c_List_Olist_ONil(A)).
% 2.03/2.27    Following clause subsumed by 4869 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_List_Olinorder__class_Osorted(A,hAPP(hAPP(c_List_Olist_OCons(A),B),hAPP(hAPP(c_List_Olist_OCons(A),C),D)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),C))| -c_List_Olinorder__class_Osorted(A,hAPP(hAPP(c_List_Olist_OCons(A),C),D)).
% 2.03/2.27    Following clause subsumed by 4875 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -c_List_Olinorder__class_Osorted(A,hAPP(hAPP(c_List_Olist_OCons(A),B),C))| -hBOOL(hAPP(hAPP(c_member(A),D),hAPP(c_List_Oset(A),C)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),D)).
% 2.03/2.27    Following clause subsumed by 4874 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -c_List_Olinorder__class_Osorted(A,hAPP(hAPP(c_List_Olist_OCons(A),B),C))|c_List_Olinorder__class_Osorted(A,C).
% 2.03/2.27    Following clause subsumed by 4894 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -c_List_Olinorder__class_Osorted(A,B)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),C),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(A)),B)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),D),C))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(hAPP(c_List_Onth(A),B),D)),hAPP(hAPP(c_List_Onth(A),B),C))).
% 2.03/2.27    Following clause subsumed by 4912 during input processing: 0 [flip.1] {-} hAPP(c_List_Orev(A),B)!=c_List_Olist_ONil(A)|B=c_List_Olist_ONil(A).
% 2.03/2.27    Following clause subsumed by 4913 during input processing: 0 [flip.1] {-} hAPP(c_List_Orev(A),B)=c_List_Olist_ONil(A)|B!=c_List_Olist_ONil(A).
% 2.03/2.27    Following clause subsumed by 4970 during input processing: 0 [] {-} -c_List_Olist__all2(A,B,C,D,E)|hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(A)),D)=hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(B)),E).
% 2.03/2.27    Following clause subsumed by 4991 during input processing: 0 [] {-} -c_List_Olist__all2(A,B,C,D,E)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),F),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(A)),D)))|hBOOL(hAPP(hAPP(C,hAPP(hAPP(c_List_Onth(A),D),F)),hAPP(hAPP(c_List_Onth(B),E),F))).
% 2.10/2.33    Following clause subsumed by 4970 during input processing: 0 [] {-} -c_List_Olist__all2(A,B,C,D,E)|hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(A)),D)=hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(B)),E).
% 2.10/2.33    Following clause subsumed by 5020 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(A),B),hAPP(c_List_Oset(A),C)))|c_List_Oinsert(A,B,C)=C.
% 2.10/2.33    Following clause subsumed by 5032 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_member(tc_prod(A,A)),hAPP(hAPP(c_Product__Type_OPair(A,A),B),C)),c_List_Omeasures(A,hAPP(hAPP(c_List_Olist_OCons(tc_fun(A,tc_Nat_Onat)),D),E))))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(D,B)),hAPP(D,C))).
% 2.10/2.33    Following clause subsumed by 5107 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(A),B),hAPP(c_List_Oset(A),C)))|hBOOL(hAPP(D,B))| -c_List_Olist__all(A,D,C).
% 2.10/2.33    Following clause subsumed by 5107 during input processing: 0 [] {-} -c_List_Olist__all(A,B,C)| -hBOOL(hAPP(hAPP(c_member(A),D),hAPP(c_List_Oset(A),C)))|hBOOL(hAPP(B,D)).
% 2.10/2.33    Following clause subsumed by 4394 during input processing: 0 [] {-} -class_HOL_Oequal(A)| -class_Enum_Oenum(B)|hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_fun(B,A)),C),D))|hBOOL(hAPP(hAPP(c_member(B),$f545(D,C,B,A)),hAPP(c_List_Oset(B),c_Enum_Oenum__class_Oenum(B)))).
% 2.10/2.33    Following clause subsumed by 5144 during input processing: 0 [flip.2] {-} -class_HOL_Oequal(A)|c_HOL_Oequal__class_Oequal(A)=c_fequal.
% 2.10/2.33    Following clause subsumed by 51 during input processing: 0 [copy,50,flip.1] {-} c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OWhile(C,D).
% 2.10/2.33    Following clause subsumed by 50 during input processing: 0 [copy,51,flip.1] {-} c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OSemi(C,D).
% 2.10/2.33    Following clause subsumed by 83 during input processing: 0 [copy,82,flip.1] {-} c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OCond(C,D,E).
% 2.10/2.33    Following clause subsumed by 82 during input processing: 0 [copy,83,flip.1] {-} c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OWhile(D,E).
% 2.10/2.33    Following clause subsumed by 85 during input processing: 0 [copy,84,flip.1] {-} c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OCond(C,D,E).
% 2.10/2.33    Following clause subsumed by 84 during input processing: 0 [copy,85,flip.1] {-} c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OSemi(D,E).
% 2.10/2.33    Following clause subsumed by 98 during input processing: 0 [copy,97,flip.1] {-} c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OAss(C,D).
% 2.10/2.33    Following clause subsumed by 97 during input processing: 0 [copy,98,flip.1] {-} c_Com_Ocom_OAss(A,B)!=c_Com_Ocom_OWhile(C,D).
% 2.10/2.33    Following clause subsumed by 100 during input processing: 0 [copy,99,flip.1] {-} c_Com_Ocom_OAss(A,B)!=c_Com_Ocom_OCond(C,D,E).
% 2.10/2.33    Following clause subsumed by 99 during input processing: 0 [copy,100,flip.1] {-} c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OAss(D,E).
% 2.10/2.33    Following clause subsumed by 102 during input processing: 0 [copy,101,flip.1] {-} c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OAss(C,D).
% 2.10/2.33    Following clause subsumed by 101 during input processing: 0 [copy,102,flip.1] {-} c_Com_Ocom_OAss(A,B)!=c_Com_Ocom_OSemi(C,D).
% 2.10/2.33  121 back subsumes 113.
% 2.10/2.33  211 back subsumes 109.
% 2.10/2.33  222 back subsumes 200.
% 2.10/2.33    Following clause subsumed by 241 during input processing: 0 [copy,240,flip.1] {-} c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OLocal(C,D,E).
% 2.10/2.33    Following clause subsumed by 240 during input processing: 0 [copy,241,flip.1] {-} c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OWhile(D,E).
% 2.10/2.33    Following clause subsumed by 243 during input processing: 0 [copy,242,flip.1] {-} c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OCond(D,E,F).
% 2.10/2.33    Following clause subsumed by 242 during input processing: 0 [copy,243,flip.1] {-} c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OLocal(D,E,F).
% 2.10/2.33    Following clause subsumed by 246 during input processing: 0 [copy,245,flip.1] {-} c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OAss(D,E).
% 2.10/2.33    Following clause subsumed by 245 during input processing: 0 [copy,246,flip.1] {-} c_Com_Ocom_OAss(A,B)!=c_Com_Ocom_OLocal(C,D,E).
% 2.10/2.33    Following clause subsumed by 248 during input processing: 0 [copy,247,flip.1] {-} c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OLocal(C,D,E).
% 2.10/2.33    Following clause subsumed by 247 during input processing: 0 [copy,248,flip.1] {-} c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OSemi(D,E).
% 2.10/2.33  429 back subsumes 427.
% 2.38/2.64    Following clause subsumed by 480 during input processing: 0 [copy,479,flip.1] {-} c_Com_Ovname_OGlb(A)!=c_Com_Ovname_OLoc(B).
% 2.38/2.64    Following clause subsumed by 479 during input processing: 0 [copy,480,flip.1] {-} c_Com_Ovname_OLoc(A)!=c_Com_Ovname_OGlb(B).
% 2.38/2.64  537 back subsumes 532.
% 2.38/2.64  849 back subsumes 846.
% 2.38/2.64  876 back subsumes 875.
% 2.38/2.64  1272 back subsumes 1271.
% 2.38/2.64    Following clause subsumed by 1339 during input processing: 0 [copy,1338,flip.1] {-} c_Groups_Ozero__class_Ozero(tc_Nat_Onat)!=hAPP(c_Nat_OSuc,A).
% 2.38/2.64    Following clause subsumed by 1338 during input processing: 0 [copy,1339,flip.1] {-} hAPP(c_Nat_OSuc,A)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 2.38/2.64  1350 back subsumes 985.
% 2.38/2.64  1400 back subsumes 1396.
% 2.38/2.64  1506 back subsumes 1012.
% 2.38/2.64  1918 back subsumes 1916.
% 2.38/2.64  2286 back subsumes 2283.
% 2.38/2.64  2330 back subsumes 2287.
% 2.38/2.64  2331 back subsumes 2288.
% 2.38/2.64  3083 back subsumes 3082.
% 2.38/2.64  3212 back subsumes 3152.
% 2.38/2.64  3213 back subsumes 3153.
% 2.38/2.64    Following clause subsumed by 3219 during input processing: 0 [copy,3218,flip.1] {-} c_Int_OBit0(A)!=c_Int_OBit1(B).
% 2.38/2.64    Following clause subsumed by 3218 during input processing: 0 [copy,3219,flip.1] {-} c_Int_OBit1(A)!=c_Int_OBit0(B).
% 2.38/2.64  3374 back subsumes 1739.
% 2.38/2.64  3419 back subsumes 3418.
% 2.38/2.64  3466 back subsumes 3459.
% 2.38/2.64  3472 back subsumes 3470.
% 2.38/2.64  3472 back subsumes 3461.
% 2.38/2.64  3478 back subsumes 3475.
% 2.38/2.64  3486 back subsumes 3484.
% 2.38/2.64  3486 back subsumes 3477.
% 2.38/2.64  3496 back subsumes 3489.
% 2.38/2.64    Following clause subsumed by 3590 during input processing: 0 [copy,3589,flip.1] {-} c_Code__Numeral_OSuc__code__numeral(A)!=c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral).
% 2.38/2.64    Following clause subsumed by 3589 during input processing: 0 [copy,3590,flip.1] {-} c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)!=c_Code__Numeral_OSuc__code__numeral(A).
% 2.38/2.64  3883 back subsumes 3882.
% 2.38/2.64  4034 back subsumes 4013.
% 2.38/2.64  4380 back subsumes 4377.
% 2.38/2.64  4410 back subsumes 4408.
% 2.38/2.64  4411 back subsumes 4409.
% 2.38/2.64    Following clause subsumed by 4505 during input processing: 0 [copy,4504,flip.1] {-} hAPP(hAPP(c_List_Olist_OCons(A),B),C)!=c_List_Olist_ONil(A).
% 2.38/2.64    Following clause subsumed by 4504 during input processing: 0 [copy,4505,flip.1] {-} c_List_Olist_ONil(A)!=hAPP(hAPP(c_List_Olist_OCons(A),B),C).
% 2.38/2.64  4874 back subsumes 4871.
% 2.38/2.64  4981 back subsumes 4980.
% 2.38/2.64  5096 back subsumes 5093.
% 2.38/2.64  5096 back subsumes 5089.
% 2.38/2.64  5324 back subsumes 5323.
% 2.38/2.64  5388 back subsumes 5383.
% 2.38/2.64  5442 back subsumes 5439.
% 2.38/2.64    Following clause subsumed by 1746 during input processing: 0 [copy,5485,flip.1] {-} hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),A)),A)!=c_Groups_Ozero__class_Ozero(tc_Int_Oint).
% 2.38/2.64    Following clause subsumed by 1854 during input processing: 0 [copy,5499,flip.1] {-} hAPP(c_Set_Oimage(A,tc_fun(A,tc_HOL_Obool),B),C)!=hAPP(c_Set_OPow(A),C).
% 2.38/2.64  5613 back subsumes 5604.
% 2.38/2.64  
% 2.38/2.64  ------------> process sos:
% 2.38/2.64    Following clause subsumed by 5854 during input processing: 0 [] {-} c_Hoare__Mirabelle_Ohoare__derivs(A,B,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(A),tc_HOL_Obool))).
% 2.38/2.64    Following clause subsumed by 5861 during input processing: 0 [] {-} c_Hoare__Mirabelle_Ohoare__derivs(A,B,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(A)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(A),C),c_Com_Ocom_OSKIP),C)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(A),tc_HOL_Obool)))).
% 2.38/2.64    Following clause subsumed by 5865 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSKIP),A),A)).
% 2.38/2.64    Following clause subsumed by 5870 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(A,B)),C),C))|hBOOL(hAPP(A,C)).
% 2.38/2.67    Following clause subsumed by 5888 during input processing: 0 [] {-} c_Hoare__Mirabelle_Ohoare__derivs(A,B,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(A)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(A),hAPP(hAPP(c_COMBC(A,tc_fun(tc_Com_Ostate,tc_Com_Ostate),tc_fun(tc_Com_Ostate,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_fun(tc_Com_Ostate,tc_Com_Ostate),tc_fun(tc_Com_Ostate,tc_HOL_Obool)),A),c_COMBB(tc_Com_Ostate,tc_HOL_Obool,tc_Com_Ostate)),C)),hAPP(hAPP(c_COMBS(tc_Com_Ostate,tc_Nat_Onat,tc_Com_Ostate),hAPP(hAPP(c_COMBC(tc_Com_Ostate,tc_Com_Ovname,tc_fun(tc_Nat_Onat,tc_Com_Ostate)),c_Natural_Oupdate),D)),E))),c_Com_Ocom_OAss(D,E)),C)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(A),tc_HOL_Obool)))).
% 2.38/2.67    Following clause subsumed by 5903 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OAss(A,B)),C),hAPP(hAPP(hAPP(c_Natural_Oupdate,C),A),hAPP(B,C)))).
% 2.38/2.67    Following clause subsumed by 5923 during input processing: 0 [demod,5916,5905] {-} hAPP(hAPP(c_COMBS(A,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),A),c_fimplies),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),hAPP(hAPP(c_COMBC(A,A,tc_HOL_Obool),c_fequal),B)))),C)=hAPP(hAPP(c_COMBS(A,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),A),c_fdisj),hAPP(hAPP(c_COMBC(A,A,tc_HOL_Obool),c_fequal),B))),hAPP(hAPP(c_COMBC(A,tc_fun(A,tc_HOL_Obool),tc_HOL_Obool),c_member(A)),C)).
% 2.38/2.67    Following clause subsumed by 5921 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OAss(A,B)),C),D),hAPP(hAPP(hAPP(c_Natural_Oupdate,C),A),hAPP(B,C)))).
% 2.38/2.67    Following clause subsumed by 5931 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OWhile(A,B)),C),D),C))|hBOOL(hAPP(A,C)).
% 2.38/2.67    Following clause subsumed by 5932 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OSKIP),A),B),A)).
% 2.38/2.67    Following clause subsumed by 5984 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_member(A),B),C))|hAPP(c_Fun_Ooverride__on(A,D,E,F,C),B)=hAPP(E,B).
% 2.38/2.67    Following clause subsumed by 6091 during input processing: 0 [demod,5916,6079,6079] {-} hBOOL(hAPP(hAPP(c_member(A),B),C))|hAPP(hAPP(c_COMBS(A,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),A),c_fconj),hAPP(hAPP(c_COMBS(A,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),A),c_fimplies),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),hAPP(hAPP(c_COMBC(A,A,tc_HOL_Obool),c_fequal),B)))),D))),C)=hAPP(hAPP(c_COMBS(A,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),A),c_fconj),D)),C).
% 2.38/2.67    Following clause subsumed by 6093 during input processing: 0 [demod,5916,6079,6079] {-} hBOOL(hAPP(hAPP(c_member(A),B),C))|hAPP(hAPP(c_COMBS(A,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),A),c_fconj),C)),hAPP(hAPP(c_COMBS(A,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),A),c_fimplies),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),hAPP(hAPP(c_COMBC(A,A,tc_HOL_Obool),c_fequal),B)))),D))=hAPP(hAPP(c_COMBS(A,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),A),c_fconj),C)),D).
% 2.38/2.67    Following clause subsumed by 6114 during input processing: 0 [] {-} A=B|hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(C,D),E),B),F),A)=hAPP(E,A).
% 2.38/2.67    Following clause subsumed by 6114 during input processing: 0 [] {-} A=B|hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(C,D),E),B),F),A)=hAPP(E,A).
% 2.38/2.67    Following clause subsumed by 6124 during input processing: 0 [demod,5913] {-} c_Nitpick_Ofold__graph_H(A,B,C,D,hAPP(c_COMBK(tc_HOL_Obool,A),c_fFalse),D).
% 2.38/2.67    Following clause subsumed by 6140 during input processing: 0 [] {-} A=B|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),B))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B),A)).
% 2.38/2.67    Following clause subsumed by 6140 during input processing: 0 [factor_simp] {-} hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),B))|A=B|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B),A)).
% 2.38/2.67    Following clause subsumed by 6153 during input processing: 0 [demod,5913] {-} hBOOL(hAPP(c_Finite__Set_Ofinite(A),hAPP(c_COMBK(tc_HOL_Obool,A),c_fFalse))).
% 2.38/2.67    Following clause subsumed by 6180 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_member(A),B),C))|hAPP(c_Map_Orestrict__map(A,D,E,C),B)=c_Option_Ooption_ONone(D).
% 2.48/2.69    Following clause subsumed by 5885 during input processing: 0 [demod,6211] {-} hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),A),B))=hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),A),B)).
% 2.48/2.69    Following clause subsumed by 6270 during input processing: 0 [demod,5913] {-} hBOOL(hAPP(c_Finite__Set_Ofold__graph(A,B,C,D,hAPP(c_COMBK(tc_HOL_Obool,A),c_fFalse)),D)).
% 2.48/2.69    Following clause subsumed by 6106 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_member(A),B),C))|hAPP(c_Set_Oimage(A,tc_Option_Ooption(D),hAPP(hAPP(hAPP(c_Fun_Ofun__upd(A,tc_Option_Ooption(D)),E),B),hAPP(c_Option_Ooption_OSome(D),F))),C)=hAPP(c_Set_Oimage(A,tc_Option_Ooption(D),E),C).
% 2.48/2.69    Following clause subsumed by 6307 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_member(A),B),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(A,tc_HOL_Obool)),C)))|hBOOL(hAPP(hAPP(c_member(A),B),C)).
% 2.48/2.69    Following clause subsumed by 6310 during input processing: 0 [] {-} A=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),A)).
% 2.48/2.69    Following clause subsumed by 6305 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),A)).
% 2.48/2.69    Following clause subsumed by 5885 during input processing: 0 [demod,6099,6326,6079] {-} hAPP(hAPP(c_COMBS(A,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),A),c_fconj),B)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),C))=hAPP(hAPP(c_COMBS(A,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),A),c_fconj),B)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),C)).
% 2.48/2.69    Following clause subsumed by 6363 during input processing: 0 [] {-} hAPP(c_Finite__Set_Ocard(A),B)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hBOOL(hAPP(c_Finite__Set_Ofinite(A),B)).
% 2.48/2.69    Following clause subsumed by 6363 during input processing: 0 [] {-} hBOOL(hAPP(c_Finite__Set_Ofinite(A),B))|hAPP(c_Finite__Set_Ocard(A),B)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 2.48/2.69    Following clause subsumed by 5885 during input processing: 0 [demod,6434] {-} hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B))=hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B)).
% 2.48/2.69    Following clause subsumed by 6451 during input processing: 0 [demod,6449] {-} hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),A)),B)=hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),A)),B).
% 2.48/2.69    Following clause subsumed by 6444 during input processing: 0 [demod,6436] {-} c_Groups_Oone__class_Oone(tc_Int_Oint)=c_Groups_Oone__class_Oone(tc_Int_Oint).
% 2.48/2.69    Following clause subsumed by 6478 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 2.48/2.69    Following clause subsumed by 5954 during input processing: 0 [demod,5913,5913,flip.1] {-} hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),hAPP(c_COMBK(tc_HOL_Obool,tc_Nat_Onat),c_fFalse))=hAPP(c_COMBK(tc_HOL_Obool,tc_Int_Oint),c_fFalse).
% 2.48/2.69    Following clause subsumed by 6452 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),A))).
% 2.48/2.69    Following clause subsumed by 5885 during input processing: 0 [demod,6430] {-} hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),A),B))=hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),A),B)).
% 2.54/2.74    Following clause subsumed by 5885 during input processing: 0 [demod,6434] {-} hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B))=hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B)).
% 2.54/2.74    Following clause subsumed by 6477 during input processing: 0 [] {-} hBOOL(hAPP(A,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),B),C)))|C=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),C))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),C),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 2.54/2.74    Following clause subsumed by 5885 during input processing: 0 [demod,6637] {-} hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),A),B))=hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),A),B)).
% 2.54/2.74    Following clause subsumed by 6625 during input processing: 0 [] {-} hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),A))).
% 2.54/2.74    Following clause subsumed by 6803 during input processing: 0 [] {-} hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,tc_fun(B,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,tc_fun(A,tc_HOL_Obool)),D),E)),F)=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,tc_fun(B,tc_HOL_Obool)),D),hAPP(hAPP(c_COMBC(C,tc_fun(A,tc_fun(B,tc_HOL_Obool)),tc_fun(B,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(A,tc_HOL_Obool),tc_fun(tc_fun(A,tc_fun(B,tc_HOL_Obool)),tc_fun(B,tc_HOL_Obool)),C),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,tc_fun(B,tc_HOL_Obool))),E)),F)).
% 2.54/2.74    Following clause subsumed by 6830 during input processing: 0 [demod,6079] {-} hAPP(hAPP(c_COMBS(A,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),A),c_fconj),B)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,tc_fun(A,tc_HOL_Obool)),D),E))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,tc_fun(A,tc_HOL_Obool)),D),hAPP(hAPP(c_COMBB(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool),C),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(A,tc_HOL_Obool)),B)),E)).
% 2.54/2.74    Following clause subsumed by 6477 during input processing: 0 [] {-} hBOOL(hAPP(A,c_Divides_Odiv__class_Omod(tc_Int_Oint,B,C)))|C=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),C))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),C),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 2.54/2.74    Following clause subsumed by 6923 during input processing: 0 [demod,6568,6466] {-} A=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|c_Divides_Odiv__class_Omod(tc_Int_Oint,B,A)=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),B),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),A))=hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),B),A)),c_Groups_Oone__class_Oone(tc_Int_Oint))).
% 2.54/2.74    Following clause subsumed by 6926 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_member(A),B),c_Orderings_Otop__class_Otop(tc_fun(A,tc_HOL_Obool)))).
% 2.54/2.74    Following clause subsumed by 5885 during input processing: 0 [demod,6962,5949,6962] {-} hAPP(c_Set_Oimage(C,B,D),hAPP(c_Set_Oimage(A,C,E),hAPP(c_COMBK(tc_HOL_Obool,A),c_fTrue)))=hAPP(c_Set_Oimage(C,B,D),hAPP(c_Set_Oimage(A,C,E),hAPP(c_COMBK(tc_HOL_Obool,A),c_fTrue))).
% 2.54/2.74    Following clause subsumed by 6978 during input processing: 0 [demod,6666,flip.2] {-} hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),B))|c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,B,A)),B)=c_Divides_Odiv__class_Omod(tc_Nat_Onat,A,B).
% 2.54/2.76    Following clause subsumed by 6463 during input processing: 0 [demod,7114,7114,6461,7114] {-} hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),A),B)=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),A),B).
% 2.54/2.76    Following clause subsumed by 7100 during input processing: 0 [demod,7114,7122,7114] {-} hBOOL(hAPP(c_Nat__Numeral_Oneg,A))|hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,A))=A.
% 2.54/2.76    Following clause subsumed by 6478 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OPls)).
% 2.54/2.76    Following clause subsumed by 7124 during input processing: 0 [demod,7122,6591,7162] {-} hAPP(c_Int_Onat,c_Int_OPls)=hAPP(c_Int_Onat,c_Int_OPls).
% 2.54/2.76    Following clause subsumed by 6478 during input processing: 0 [demod,7153,7114] {-} hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OPls)).
% 2.54/2.76    Following clause subsumed by 6444 during input processing: 0 [demod,7174,7146,7205,7148,7148] {-} c_Groups_Oone__class_Oone(tc_Int_Oint)=c_Groups_Oone__class_Oone(tc_Int_Oint).
% 2.54/2.76    Following clause subsumed by 6444 during input processing: 0 [demod,7205,7148,7148,7114] {-} c_Groups_Oone__class_Oone(tc_Int_Oint)=c_Groups_Oone__class_Oone(tc_Int_Oint).
% 2.54/2.76    Following clause subsumed by 5885 during input processing: 0 [demod,7205,7148,7148,7122,6694,7162,6677,6694,7162] {-} hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls))=hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls)).
% 2.54/2.76    Following clause subsumed by 5885 during input processing: 0 [demod,6677,6694,7162,7205,7148,7148,7122,6694,7162] {-} hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls))=hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls)).
% 2.54/2.76    Following clause subsumed by 5885 during input processing: 0 [demod,7205,7148,7148,7122,6694,7162,6591,7162] {-} hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls))=hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls)).
% 2.54/2.76    Following clause subsumed by 5885 during input processing: 0 [demod,7205,7148,7148,7205,7122,7212,7205,7148,7148,7205,7114,7212] {-} hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls))))=hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls)))).
% 2.54/2.76    Following clause subsumed by 7224 during input processing: 0 [demod,7122,7205,7148,7148,7205,7122,7212,6208,6211,6208,6211,6208,6211,6724,7217,7122] {-} c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,A))),hAPP(c_Int_Onat,B))=c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,A))),hAPP(c_Int_Onat,B)).
% 2.54/2.76    Following clause subsumed by 5885 during input processing: 0 [demod,7205,7148,7148,7205,7122,7212,6208,6211,6208,6211,6208,6211,6724,7217] {-} hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),A),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,B))))=hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),A),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,B)))).
% 2.54/2.76    Following clause subsumed by 5885 during input processing: 0 [demod,7122,7205,7148,7148,7205,7122,7212,6208,6211,6208,6211,6208,6211,6724,7217,7122] {-} hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,A)))),hAPP(c_Int_Onat,B))=hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,A)))),hAPP(c_Int_Onat,B)).
% 2.54/2.76    Following clause subsumed by 5885 during input processing: 0 [demod,7244,7244,6461,6466] {-} hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),A))=hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),A)).
% 2.54/2.76    Following clause subsumed by 6475 during input processing: 0 [demod,7205,7174,6474,6474,7174,7244,6474] {-} hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),c_Groups_Oone__class_Oone(tc_Int_Oint))))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),c_Groups_Oone__class_Oone(tc_Int_Oint)))).
% 2.62/2.83    Following clause subsumed by 5885 during input processing: 0 [demod,7205,7148,7148,7244,7122,7273,7288,6591,7162] {-} hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls)))=hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls))).
% 2.62/2.83    Following clause subsumed by 5885 during input processing: 0 [demod,7205,7148,7148,7244,7122,7273,7288,7205,7148,7148,7244,7114,7273,7288] {-} hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls)))=hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls))).
% 2.62/2.83    Following clause subsumed by 5885 during input processing: 0 [demod,6677,6694,7162,6677,6694,7162,6211,6208,6211,6724,7296,7205,7148,7148,7244,7122,7273,7288] {-} hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls)))=hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls))).
% 2.62/2.83    Following clause subsumed by 5885 during input processing: 0 [demod,7205,7148,7148,7244,7114,7273,7288,6591,7162] {-} hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls)))=hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls))).
% 2.62/2.83    Following clause subsumed by 6478 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OMin)).
% 2.62/2.83    Following clause subsumed by 7326 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OPls)).
% 2.62/2.83    Following clause subsumed by 6463 during input processing: 0 [demod,7170,7244,7343] {-} hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OMin),c_Groups_Oone__class_Oone(tc_Int_Oint))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OMin),c_Groups_Oone__class_Oone(tc_Int_Oint)).
% 2.62/2.83    Following clause subsumed by 7390 during input processing: 0 [demod,7153,7401] {-} A=c_Int_OPls|hBOOL(hAPP(c_Divides_Odivmod__int__rel(B,A),c_Divides_Odivmod__int(B,A))).
% 2.62/2.83    Following clause subsumed by 7412 during input processing: 0 [] {-} hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(A,B,C),D),hAPP(hAPP(c_Product__Type_OPair(A,B),E),F))=hAPP(hAPP(D,E),F).
% 2.62/2.83    Following clause subsumed by 7459 during input processing: 0 [demod,7450] {-} hBOOL(hAPP(c_Divides_Odivmod__nat__rel(A,B),c_Divides_Odivmod__nat(A,B))).
% 2.62/2.83    Following clause subsumed by 7492 during input processing: 0 [] {-} hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(A,B,C),D),E)=hAPP(hAPP(D,hAPP(c_Product__Type_Ofst(A,B),E)),hAPP(c_Product__Type_Osnd(A,B),E)).
% 2.62/2.83    Following clause subsumed by 7492 during input processing: 0 [] {-} hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(A,B,C),D),E)=hAPP(hAPP(D,hAPP(c_Product__Type_Ofst(A,B),E)),hAPP(c_Product__Type_Osnd(A,B),E)).
% 2.62/2.83    Following clause subsumed by 7715 during input processing: 0 [demod,5980,5980] {-} hAPP(hAPP(c_Product__Type_OSigma(A,B),hAPP(hAPP(c_COMBS(A,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),A),c_fdisj),C)),D)),hAPP(c_COMBK(tc_fun(B,tc_HOL_Obool),A),E))=hAPP(hAPP(c_COMBS(tc_prod(A,B),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_prod(A,B)),c_fdisj),hAPP(hAPP(c_Product__Type_OSigma(A,B),C),hAPP(c_COMBK(tc_fun(B,tc_HOL_Obool),A),E)))),hAPP(hAPP(c_Product__Type_OSigma(A,B),D),hAPP(c_COMBK(tc_fun(B,tc_HOL_Obool),A),E))).
% 2.62/2.83    Following clause subsumed by 7491 during input processing: 0 [demod,7771] {-} B=B.
% 2.62/2.83    Following clause subsumed by 7491 during input processing: 0 [demod,6962,7762,6962] {-} hAPP(c_COMBK(tc_HOL_Obool,A),c_fTrue)=hAPP(c_COMBK(tc_HOL_Obool,A),c_fTrue).
% 2.62/2.83    Following clause subsumed by 7491 during input processing: 0 [demod,7792] {-} c_Product__Type_Omap__pair(A,B,C,D,hAPP(c_Fun_Ocomp(E,B,A,F),G),hAPP(c_Fun_Ocomp(H,D,C,I),J))=c_Product__Type_Omap__pair(A,B,C,D,hAPP(c_Fun_Ocomp(E,B,A,F),G),hAPP(c_Fun_Ocomp(H,D,C,I),J)).
% 2.62/2.83    Following clause subsumed by 7804 during input processing: 0 [demod,5913,5913,7564] {-} c_Relation_Orefl__on(A,hAPP(c_COMBK(tc_HOL_Obool,A),c_fFalse),c_Relation_OId__on(A,hAPP(c_COMBK(tc_HOL_Obool,A),c_fFalse))).
% 2.62/2.83    Following clause subsumed by 7491 during input processing: 0 [demod,7414] {-} c_Hilbert__Choice_OEps(tc_prod(A,B),C)=c_Hilbert__Choice_OEps(tc_prod(A,B),C).
% 2.69/2.89    Following clause subsumed by 7491 during input processing: 0 [demod,7837] {-} hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(B,C,D),F),hAPP(E,G))=hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(B,C,D),F),hAPP(E,G)).
% 2.69/2.89    Following clause subsumed by 7491 during input processing: 0 [demod,7882,7879] {-} c_Transitive__Closure_Otrancl(A,B)=c_Transitive__Closure_Otrancl(A,B).
% 2.69/2.89    Following clause subsumed by 7491 during input processing: 0 [demod,7891,7885,6962] {-} hAPP(c_COMBK(tc_HOL_Obool,A),c_fTrue)=hAPP(c_COMBK(tc_HOL_Obool,A),c_fTrue).
% 2.69/2.89    Following clause subsumed by 7491 during input processing: 0 [demod,7891,7888,6962] {-} hAPP(c_COMBK(tc_HOL_Obool,A),c_fTrue)=hAPP(c_COMBK(tc_HOL_Obool,A),c_fTrue).
% 2.69/2.89    Following clause subsumed by 7912 during input processing: 0 [demod,6962,7891] {-} c_Relation_Orefl__on(A,hAPP(c_COMBK(tc_HOL_Obool,A),c_fTrue),c_Transitive__Closure_Ortrancl(A,c_Relation_OId__on(A,hAPP(c_COMBK(tc_HOL_Obool,A),c_fFalse)))).
% 2.69/2.89    Following clause subsumed by 7491 during input processing: 0 [demod,7961] {-} hAPP(c_Relation_ORange(A,B),C)=hAPP(c_Relation_ORange(A,B),C).
% 2.69/2.89    Following clause subsumed by 7865 during input processing: 0 [demod,6591,7162,7984] {-} hBOOL(hAPP(hAPP(c_member(tc_prod(A,A)),hAPP(hAPP(c_Product__Type_OPair(A,A),B),B)),c_Transitive__Closure_Ortrancl(A,c_Relation_OId__on(A,hAPP(c_COMBK(tc_HOL_Obool,A),c_fFalse))))).
% 2.69/2.89    Following clause subsumed by 8066 during input processing: 0 [demod,5980] {-} hAPP(hAPP(c_COMBS(A,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),A),c_fdisj),B)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(C,tc_fun(A,tc_HOL_Obool)),D),E))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(C,tc_fun(A,tc_HOL_Obool)),D),hAPP(hAPP(c_COMBB(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool),C),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool)),B)),E)).
% 2.69/2.89    Following clause subsumed by 7491 during input processing: 0 [demod,8095] {-} hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,tc_fun(B,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(A,tc_HOL_Obool),C)),D)=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,tc_fun(B,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(A,tc_HOL_Obool),C)),D).
% 2.69/2.89    Following clause subsumed by 7491 during input processing: 0 [demod,8114] {-} hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,tc_fun(B,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(A,tc_HOL_Obool),C)),D)=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,tc_fun(B,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(A,tc_HOL_Obool),C)),D).
% 2.69/2.89    Following clause subsumed by 8229 during input processing: 0 [] {-} hAPP(c_Fun_Ocomp(tc_List_Olist(A),tc_List_Olist(B),tc_List_Olist(C),hAPP(c_List_Omap(A,B),D)),hAPP(c_List_Omap(C,A),E))=hAPP(c_List_Omap(C,B),hAPP(c_Fun_Ocomp(A,B,C,D),E)).
% 2.69/2.89    Following clause subsumed by 8230 during input processing: 0 [] {-} hAPP(hAPP(c_List_Omap(A,B),C),hAPP(hAPP(c_List_Omap(D,A),E),F))=hAPP(hAPP(c_List_Omap(D,B),hAPP(c_Fun_Ocomp(A,B,D,C),E)),F).
% 2.69/2.89    Following clause subsumed by 8254 during input processing: 0 [] {-} hAPP(hAPP(c_Option_Omap(A,B),C),hAPP(hAPP(c_Option_Omap(D,A),E),F))=hAPP(hAPP(c_Option_Omap(D,B),hAPP(c_Fun_Ocomp(A,B,D,C),E)),F).
% 2.69/2.89    Following clause subsumed by 6178 during input processing: 0 [demod,7689,8276] {-} hAPP(hAPP(c_Map_Omap__of(A,B),C),D)=c_Option_Ooption_ONone(B)|hBOOL(hAPP(hAPP(c_member(A),D),c_Map_Odom(A,B,hAPP(c_Map_Omap__of(A,B),C)))).
% 2.69/2.89    Following clause subsumed by 7491 during input processing: 0 [demod,8340] {-} c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,A,B)=c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,A,B).
% 2.69/2.92    Following clause subsumed by 8379 during input processing: 0 [demod,7122,6591,7162,7122,8368,7122,6677,7580,6666] {-} hAPP(c_Int_Onat,A)=hAPP(c_Int_Onat,c_Int_OPls)|c_Nat_Onat_Onat__case(B,C,hAPP(c_List_Onth(B),D),hAPP(c_Int_Onat,A))=hAPP(hAPP(c_List_Onth(B),D),hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,hAPP(c_Int_Onat,hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Relation_OId__on(tc_prod(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(hAPP(c_COMBC(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),c_fequal),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls))),hAPP(c_Int_Onat,c_Int_OPls)))))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),c_Relation_OId__on(tc_Nat_Onat,hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),hAPP(c_COMBK(tc_HOL_Obool,tc_Int_Oint),c_fFalse))))))))),hAPP(c_Int_Onat,A)))).
% 2.69/2.92    Following clause subsumed by 7491 during input processing: 0 [demod,8460] {-} A=A.
% 2.69/2.92    Following clause subsumed by 7491 during input processing: 0 [demod,8415,5879,8458,7122] {-} hAPP(c_Int_Onat,A)=hAPP(c_Int_Onat,A).
% 2.69/2.92    Following clause subsumed by 7491 during input processing: 0 [demod,8486] {-} hAPP(hAPP(c_Code__Numeral_Osubtract__code__numeral,A),B)=hAPP(hAPP(c_Code__Numeral_Osubtract__code__numeral,A),B).
% 2.69/2.92    Following clause subsumed by 7491 during input processing: 0 [demod,8402,8460,8460] {-} hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Code__Numeral_Ocode__numeral),A),B)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Code__Numeral_Ocode__numeral),A),B).
% 2.69/2.92    Following clause subsumed by 8523 during input processing: 0 [] {-} c_List_Olistrelp(A,B,c_List_Olist_ONil(A),c_List_Olist_ONil(A)).
% 2.69/2.92    Following clause subsumed by 8518 during input processing: 0 [] {-} hAPP(hAPP(c_Map_Omap__of(A,B),c_List_Olist_ONil(tc_prod(A,B))),C)=c_Option_Ooption_ONone(B).
% 2.69/2.92    Following clause subsumed by 7491 during input processing: 0 [demod,8534] {-} c_List_Olist_ONil(A)=c_List_Olist_ONil(A).
% 2.69/2.92    Following clause subsumed by 8542 during input processing: 0 [demod,7114,7114,7114,7114] {-} hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),A),B))|c_List_Oupto(A,B)=c_List_Olist_ONil(tc_Int_Oint).
% 2.69/2.92    Following clause subsumed by 8549 during input processing: 0 [demod,7122,6591,7162,7122,8396,7122,6677,7580,6666,8396,flip.2] {-} hAPP(c_Int_Onat,A)=hAPP(c_Int_Onat,c_Int_OPls)|hAPP(hAPP(c_List_Olist_OCons(B),C),c_List_Osublist(B,D,hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(c_Int_Onat,c_Int_OPls)),hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,hAPP(c_Int_Onat,hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Relation_OId__on(tc_prod(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(hAPP(c_COMBC(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),c_fequal),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls))),hAPP(c_Int_Onat,c_Int_OPls)))))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),c_Relation_OId__on(tc_Nat_Onat,hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),hAPP(c_COMBK(tc_HOL_Obool,tc_Int_Oint),c_fFalse))))))))),hAPP(c_Int_Onat,A))))))=c_List_Osublist(B,hAPP(hAPP(c_List_Olist_OCons(B),C),D),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(c_Int_Onat,c_Int_OPls)),hAPP(c_Int_Onat,A))).
% 4.28/4.52    Following clause subsumed by 8650 during input processing: 0 [demod,7122,6591,7162,7122,7122,6677,7580,6666] {-} hAPP(c_Int_Onat,A)=hAPP(c_Int_Onat,c_Int_OPls)|hAPP(hAPP(c_List_Odrop(B),hAPP(c_Int_Onat,A)),hAPP(hAPP(c_List_Olist_OCons(B),C),D))=hAPP(hAPP(c_List_Odrop(B),hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,hAPP(c_Int_Onat,hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Relation_OId__on(tc_prod(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(hAPP(c_COMBC(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),c_fequal),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls))),hAPP(c_Int_Onat,c_Int_OPls)))))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),c_Relation_OId__on(tc_Nat_Onat,hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),hAPP(c_COMBK(tc_HOL_Obool,tc_Int_Oint),c_fFalse))))))))),hAPP(c_Int_Onat,A)))),D).
% 4.28/4.52    Following clause subsumed by 8662 during input processing: 0 [] {-} A=c_List_Olist_ONil(B)|hAPP(c_List_Ohd(B),hAPP(hAPP(c_List_Oappend(B),A),C))=hAPP(c_List_Ohd(B),A).
% 4.28/4.52    Following clause subsumed by 8724 during input processing: 0 [] {-} A=c_List_Olist_ONil(B)|c_List_Olast(B,hAPP(hAPP(c_List_Oappend(B),C),A))=c_List_Olast(B,A).
% 4.28/4.52    Following clause subsumed by 8726 during input processing: 0 [] {-} A=c_List_Olist_ONil(B)|c_List_Olast(B,hAPP(hAPP(c_List_Olist_OCons(B),C),A))=c_List_Olast(B,A).
% 4.28/4.52    Following clause subsumed by 7491 during input processing: 0 [demod,8736] {-} c_List_Obutlast(A,hAPP(hAPP(c_List_Odrop(A),B),C))=c_List_Obutlast(A,hAPP(hAPP(c_List_Odrop(A),B),C)).
% 4.28/4.52    Following clause subsumed by 8861 during input processing: 0 [demod,7122,7122,7122,7122] {-} hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onat,A)),hAPP(c_Int_Onat,B)))|c_List_Oupt(hAPP(c_Int_Onat,A),hAPP(c_Int_Onat,B))=c_List_Olist_ONil(tc_Nat_Onat).
% 4.28/4.52    Following clause subsumed by 8860 during input processing: 0 [demod,6577,6591,7162,6591,7162,flip.1] {-} hAPP(c_List_Oset(tc_Nat_Onat),c_List_Oupt(hAPP(c_Int_Onat,c_Int_OPls),A))=hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(c_Int_Onat,c_Int_OPls)),A).
% 4.28/4.52    Following clause subsumed by 8932 during input processing: 0 [] {-} hBOOL(hAPP(c_List_Olistsp(A,B),c_List_Olist_ONil(A))).
% 4.28/4.52    Following clause subsumed by 9034 during input processing: 0 [flip.2] {-} hBOOL(hAPP(hAPP(c_member(A),B),hAPP(c_List_Oset(A),C)))|hAPP(hAPP(c_List_Olist_OCons(A),B),C)=c_List_Oinsert(A,B,C).
% 4.28/4.52    Following clause subsumed by 7491 during input processing: 0 [demod,9045] {-} c_List_Omaps(B,A,C,D)=c_List_Omaps(B,A,C,D).
% 4.28/4.52    Following clause subsumed by 9093 during input processing: 0 [] {-} c_FunDef_Ois__measure(A,B).
% 4.28/4.52    Following clause subsumed by 9093 during input processing: 0 [] {-} c_FunDef_Ois__measure(A,B).
% 4.28/4.52    Following clause subsumed by 7491 during input processing: 0 [demod,9150] {-} hAPP(hAPP(c_List_Olist_OCons(A),B),C)=hAPP(hAPP(c_List_Olist_OCons(A),B),C).
% 4.28/4.52    Following clause subsumed by 7491 during input processing: 0 [] {-} A=A.
% 4.28/4.52  5883 back subsumes 616.
% 4.28/4.52    Following clause subsumed by 7491 during input processing: 0 [copy,5885,flip.1] {-} hAPP(A,hAPP(B,C))=hAPP(A,hAPP(B,C)).
% 4.28/4.52  5885 back subsumes 5768.
% 4.28/4.52  5885 back subsumes 5307.
% 4.28/4.52  5885 back subsumes 5306.
% 4.28/4.52  5933 back subsumes 5623.
% 4.28/4.52    Following clause subsumed by 7491 during input processing: 0 [copy,6101,flip.1,demod,7567,7567] {-} hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,B)),C)=hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,B)),C).
% 4.28/4.52  6137 back subsumes 5295.
% 4.28/4.52    Following clause subsumed by 6193 during input processing: 0 [copy,6193,flip.1] {-} hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),A),B)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B),A).
% 4.28/4.52    Following clause subsumed by 6194 during input processing: 0 [copy,6194,flip.1] {-} hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B),C))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),A),C)).
% 4.44/4.69    Following clause subsumed by 6264 during input processing: 0 [copy,6264,flip.1] {-} hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),B),A).
% 4.44/4.69  6305 back subsumes 3569.
% 4.44/4.69  6310 back subsumes 3573.
% 4.44/4.69  6310 back subsumes 3572.
% 4.44/4.69  6310 back subsumes 3571.
% 4.44/4.69    Following clause subsumed by 7491 during input processing: 0 [copy,6366,flip.1] {-} hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),B)=hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),B).
% 4.44/4.69    Following clause subsumed by 7491 during input processing: 0 [copy,6444,flip.1,demod,7580,9433,7580,9433] {-} hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Relation_OId__on(tc_prod(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_fequal,hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls))),hAPP(c_Int_Onat,c_Int_OPls)))))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),c_Relation_OId__on(tc_Nat_Onat,hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),hAPP(c_COMBK(tc_HOL_Obool,tc_Int_Oint),c_fFalse))))))))=hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Relation_OId__on(tc_prod(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_fequal,hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls))),hAPP(c_Int_Onat,c_Int_OPls)))))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),c_Relation_OId__on(tc_Nat_Onat,hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),hAPP(c_COMBK(tc_HOL_Obool,tc_Int_Oint),c_fFalse)))))))).
% 4.44/4.69    Following clause subsumed by 7491 during input processing: 0 [copy,6451,flip.1] {-} hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),A)),B)=hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),A)),B).
% 4.44/4.69  6452 back subsumes 5497.
% 4.44/4.69    Following clause subsumed by 7491 during input processing: 0 [copy,6463,flip.1] {-} hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),A),B)=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),A),B).
% 4.44/4.69    Following clause subsumed by 6475 during input processing: 0 [copy,6475,flip.1] {-} hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B),C))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),C)).
% 4.44/4.69    Following clause subsumed by 6476 during input processing: 0 [copy,6476,flip.1] {-} hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),B)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B),A).
% 4.44/4.69  6478 back subsumes 5511.
% 4.44/4.69  6479 back subsumes 1921.
% 4.44/4.69    Following clause subsumed by 6486 during input processing: 0 [copy,6486,flip.1] {-} hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),A),B)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),B),A).
% 4.44/4.69    Following clause subsumed by 7491 during input processing: 0 [copy,6505,flip.1,demod,7153,7153] {-} c_Int_OPls=c_Int_OPls.
% 4.44/4.69  6505 back subsumes 5852.
% 4.44/4.69  6505 back subsumes 5851.
% 4.44/4.69    Following clause subsumed by 7491 during input processing: 0 [copy,6553,flip.1,demod,6591,7162,6591,7162] {-} hAPP(c_Int_Onat,c_Int_OPls)=hAPP(c_Int_Onat,c_Int_OPls).
% 4.99/5.19    Following clause subsumed by 7491 during input processing: 0 [copy,6570,flip.1,demod,7494,7494] {-} hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_Odivmod__int(A,B))=hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_Odivmod__int(A,B)).
% 4.99/5.19    Following clause subsumed by 7491 during input processing: 0 [copy,6674,flip.1,demod,7162,7162] {-} hAPP(c_Int_Onat,c_Int_OPls)=hAPP(c_Int_Onat,c_Int_OPls).
% 4.99/5.19    Following clause subsumed by 8872 during input processing: 0 [copy,6687,flip.1] {-} c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,A,B)=c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(c_Nat_OSuc,A),B).
% 4.99/5.19    Following clause subsumed by 7491 during input processing: 0 [copy,6711,flip.1] {-} hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(A,tc_Nat_Onat),B),C)=hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(A,tc_Nat_Onat),B),C).
% 4.99/5.19    Following clause subsumed by 7491 during input processing: 0 [copy,6716,flip.1] {-} hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(A,tc_Nat_Onat),B),C)=hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(A,tc_Nat_Onat),B),C).
% 4.99/5.19    Following clause subsumed by 7491 during input processing: 0 [copy,6761,flip.1,demod,7162,7162] {-} c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(c_Int_Onat,c_Int_OPls),A)=c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(c_Int_Onat,c_Int_OPls),A).
% 4.99/5.19    Following clause subsumed by 6804 during input processing: 0 [copy,6803,flip.1] {-} hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,tc_fun(B,tc_HOL_Obool)),C),hAPP(hAPP(c_COMBC(A,tc_fun(D,tc_fun(B,tc_HOL_Obool)),tc_fun(B,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(D,tc_HOL_Obool),tc_fun(tc_fun(D,tc_fun(B,tc_HOL_Obool)),tc_fun(B,tc_HOL_Obool)),A),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(D,tc_fun(B,tc_HOL_Obool))),E)),F))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(D,tc_fun(B,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,tc_fun(D,tc_HOL_Obool)),C),E)),F).
% 4.99/5.19    Following clause subsumed by 6803 during input processing: 0 [copy,6804,flip.1] {-} hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,tc_fun(B,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,tc_fun(A,tc_HOL_Obool)),D),E)),F)=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,tc_fun(B,tc_HOL_Obool)),D),hAPP(hAPP(c_COMBC(C,tc_fun(A,tc_fun(B,tc_HOL_Obool)),tc_fun(B,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(A,tc_HOL_Obool),tc_fun(tc_fun(A,tc_fun(B,tc_HOL_Obool)),tc_fun(B,tc_HOL_Obool)),C),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,tc_fun(B,tc_HOL_Obool))),E)),F)).
% 4.99/5.19    Following clause subsumed by 6820 during input processing: 0 [copy,6818,flip.1] {-} hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,tc_fun(B,tc_HOL_Obool)),C),hAPP(hAPP(c_COMBB(D,tc_fun(B,tc_HOL_Obool),A),E),F))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(D,tc_fun(B,tc_HOL_Obool)),hAPP(c_Set_Oimage(A,D,F),C)),E).
% 4.99/5.19    Following clause subsumed by 6818 during input processing: 0 [copy,6820,flip.1] {-} hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,tc_fun(B,tc_HOL_Obool)),hAPP(c_Set_Oimage(C,A,D),E)),F)=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,tc_fun(B,tc_HOL_Obool)),E),hAPP(hAPP(c_COMBB(A,tc_fun(B,tc_HOL_Obool),C),F),D)).
% 4.99/5.19    Following clause subsumed by 7491 during input processing: 0 [copy,6861,flip.1] {-} c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),A),B),C)=c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),A),B),C).
% 4.99/5.19    Following clause subsumed by 7491 during input processing: 0 [copy,6871,flip.1,demod,7333,7333] {-} c_Divides_Odiv__class_Omod(tc_Int_Oint,A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_OMin),B))=c_Divides_Odiv__class_Omod(tc_Int_Oint,A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_OMin),B)).
% 5.76/5.98    Following clause subsumed by 7491 during input processing: 0 [copy,6985,flip.1] {-} c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),A),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B))=c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),A),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B)).
% 5.76/5.98    Following clause subsumed by 7491 during input processing: 0 [copy,7004,flip.1] {-} hAPP(c_COMBK(tc_HOL_Obool,A),c_fTrue)=hAPP(c_COMBK(tc_HOL_Obool,A),c_fTrue).
% 5.76/5.98    Following clause subsumed by 7491 during input processing: 0 [copy,7116,flip.1] {-} hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),A),B)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),A),B).
% 5.76/5.98    Following clause subsumed by 7491 during input processing: 0 [copy,7124,flip.1] {-} hAPP(c_Int_Onat,A)=hAPP(c_Int_Onat,A).
% 5.76/5.98  7124 back subsumes 5596.
% 5.76/5.98  7134 back subsumes 7132.
% 5.76/5.98    Following clause subsumed by 7491 during input processing: 0 [copy,7164,flip.1] {-} c_Int_OPls=c_Int_OPls.
% 5.76/5.98    Following clause subsumed by 7491 during input processing: 0 [copy,7222,flip.1] {-} c_Divides_Odiv__class_Omod(tc_Nat_Onat,A,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,B))))=c_Divides_Odiv__class_Omod(tc_Nat_Onat,A,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,B)))).
% 5.76/5.98    Following clause subsumed by 7491 during input processing: 0 [copy,7224,flip.1] {-} c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,A))),B)=c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,A))),B).
% 5.76/5.98    Following clause subsumed by 7491 during input processing: 0 [copy,7226,flip.1,demod,7505,7505] {-} hAPP(c_Product__Type_Ofst(tc_Nat_Onat,tc_Nat_Onat),c_Divides_Odivmod__nat(hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,A))),B))=hAPP(c_Product__Type_Ofst(tc_Nat_Onat,tc_Nat_Onat),c_Divides_Odivmod__nat(hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,A))),B)).
% 5.76/5.98    Following clause subsumed by 7491 during input processing: 0 [copy,7418,flip.1] {-} c_Enum_Oenum__the(tc_prod(A,B),C)=c_Enum_Oenum__the(tc_prod(A,B),C).
% 5.76/5.98    Following clause subsumed by 7491 during input processing: 0 [copy,7491,flip.1] {-} A=A.
% 5.76/5.98  7491 back subsumes 7418.
% 5.76/5.98  7491 back subsumes 7226.
% 5.76/5.98  7491 back subsumes 7224.
% 5.76/5.98  7491 back subsumes 7222.
% 5.76/5.98  7491 back subsumes 7164.
% 5.76/5.98  7491 back subsumes 7124.
% 5.76/5.98  7491 back subsumes 7116.
% 5.76/5.98  7491 back subsumes 7004.
% 5.76/5.98  7491 back subsumes 6985.
% 5.76/5.98  7491 back subsumes 6861.
% 5.76/5.98  7491 back subsumes 6716.
% 5.76/5.98  7491 back subsumes 6711.
% 5.76/5.98  7491 back subsumes 6570.
% 5.76/5.98  7491 back subsumes 6463.
% 5.76/5.98  7491 back subsumes 6451.
% 5.76/5.98  7491 back subsumes 6444.
% 5.76/5.98  7491 back subsumes 6366.
% 5.76/5.98  7491 back subsumes 6101.
% 5.76/5.98  7491 back subsumes 5885.
% 5.76/5.98  7491 back subsumes 5853.
% 5.76/5.98  7491 back subsumes 5812.
% 5.76/5.98  7491 back subsumes 5805.
% 5.76/5.98  7491 back subsumes 5804.
% 5.76/5.98  7491 back subsumes 5803.
% 5.76/5.98  7491 back subsumes 5802.
% 5.76/5.98  7491 back subsumes 5801.
% 5.76/5.98  7491 back subsumes 5785.
% 5.76/5.98  7491 back subsumes 5784.
% 5.76/5.98  7491 back subsumes 5780.
% 5.76/5.98  7491 back subsumes 5779.
% 5.76/5.98  7491 back subsumes 5776.
% 5.76/5.98  7491 back subsumes 5775.
% 5.76/5.98  7491 back subsumes 5766.
% 5.76/5.98  7491 back subsumes 5764.
% 5.76/5.98  7491 back subsumes 5762.
% 5.76/5.98  7491 back subsumes 5741.
% 5.76/5.98  7491 back subsumes 5740.
% 5.76/5.98  7491 back subsumes 5724.
% 5.76/5.98  7491 back subsumes 5710.
% 5.76/5.98  7491 back subsumes 5709.
% 5.76/5.98  7491 back subsumes 5621.
% 5.76/5.98  7491 back subsumes 5620.
% 5.76/5.98  7491 back subsumes 5527.
% 5.76/5.98  7491 back subsumes 5503.
% 5.76/5.98  7491 back subsumes 5502.
% 5.76/5.98  7491 back subsumes 5501.
% 5.76/5.98  7491 back subsumes 5488.
% 5.76/5.98  7491 back subsumes 5486.
% 5.76/5.98  7491 back subsumes 5354.
% 5.76/5.98  7491 back subsumes 5338.
% 5.76/5.98  7491 back subsumes 5299.
% 5.76/5.98  7491 back subsumes 5294.
% 5.76/5.98  7491 back subsumes 5288.
% 5.76/5.98  7491 back subsumes 5285.
% 5.76/5.98  7491 back subsumes 5284.
% 5.76/5.98  7491 back subsumes 5255.
% 5.76/5.98  7491 back subsumes 5245.
% 5.76/5.98  7491 back subsumes 5233.
% 5.76/5.98  7724 back subsumes 7722.
% 5.76/5.98  7731 back subsumes 7729.
% 5.76/5.98    Following clause subsumed by 7796 during input processing: 0 [copy,7799,flip.1] {-} c_Product__Type_Oapsnd(A,A,B,c_Fun_Oid(A))=c_Product__Type_Omap__pair(B,B,A,A,c_Fun_Oid(B),c_Fun_Oid(A)).
% 5.76/5.98    Following clause subsumed by 11095 during input processing: 0 [copy,7835,flip.1,demod,7837,9084] {-} hAPP(hAPP(A,hAPP(c_Product__Type_Ofst(B,C),hAPP(D,E))),hAPP(c_Product__Type_Osnd(B,C),hAPP(D,E)))=hAPP(hAPP(c_Product__Type_Ointernal__split(B,C,G),A),hAPP(D,E)).
% 5.76/5.98  7865 back subsumes 5765.
% 5.76/5.99    Following clause subsumed by 8016 during input processing: 0 [copy,8014,flip.1] {-} hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,B)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(C,tc_fun(A,tc_HOL_Obool)),D),E)))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,tc_fun(A,tc_HOL_Obool)),D),hAPP(hAPP(c_COMBB(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool),C),hAPP(c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool)),B)),E)).
% 5.76/5.99    Following clause subsumed by 8014 during input processing: 0 [copy,8016,flip.1] {-} hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,tc_fun(B,tc_HOL_Obool)),C),hAPP(hAPP(c_COMBB(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool),A),hAPP(c_Groups_Ominus__class_Ominus(tc_fun(B,tc_HOL_Obool)),D)),E))=hAPP(c_Relation_OImage(B,B,c_Relation_OId__on(B,D)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,B),c_fNot),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,tc_fun(B,tc_HOL_Obool)),C),E))).
% 5.76/5.99    Following clause subsumed by 8018 during input processing: 0 [copy,8017,flip.1] {-} hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,tc_fun(B,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,tc_fun(A,tc_HOL_Obool)),D),E)),F)=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(C,tc_fun(B,tc_HOL_Obool)),D),hAPP(hAPP(c_COMBC(C,tc_fun(A,tc_fun(B,tc_HOL_Obool)),tc_fun(B,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(A,tc_HOL_Obool),tc_fun(tc_fun(A,tc_fun(B,tc_HOL_Obool)),tc_fun(B,tc_HOL_Obool)),C),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,tc_fun(B,tc_HOL_Obool))),E)),F)).
% 5.76/5.99    Following clause subsumed by 8017 during input processing: 0 [copy,8018,flip.1] {-} hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,tc_fun(B,tc_HOL_Obool)),C),hAPP(hAPP(c_COMBC(A,tc_fun(D,tc_fun(B,tc_HOL_Obool)),tc_fun(B,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(D,tc_HOL_Obool),tc_fun(tc_fun(D,tc_fun(B,tc_HOL_Obool)),tc_fun(B,tc_HOL_Obool)),A),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(D,tc_fun(B,tc_HOL_Obool))),E)),F))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(D,tc_fun(B,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,tc_fun(D,tc_HOL_Obool)),C),E)),F).
% 5.76/5.99    Following clause subsumed by 8033 during input processing: 0 [copy,8032,flip.1] {-} hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,tc_fun(B,tc_HOL_Obool)),C),hAPP(hAPP(c_COMBB(D,tc_fun(B,tc_HOL_Obool),A),E),F))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(D,tc_fun(B,tc_HOL_Obool)),hAPP(c_Set_Oimage(A,D,F),C)),E).
% 5.76/5.99    Following clause subsumed by 8032 during input processing: 0 [copy,8033,flip.1] {-} hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,tc_fun(B,tc_HOL_Obool)),hAPP(c_Set_Oimage(C,A,D),E)),F)=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(C,tc_fun(B,tc_HOL_Obool)),E),hAPP(hAPP(c_COMBB(A,tc_fun(B,tc_HOL_Obool),C),F),D)).
% 5.76/5.99    Following clause subsumed by 8066 during input processing: 0 [copy,8062,flip.1] {-} hAPP(hAPP(c_COMBS(A,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),A),c_fdisj),B)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(C,tc_fun(A,tc_HOL_Obool)),D),E))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(C,tc_fun(A,tc_HOL_Obool)),D),hAPP(hAPP(c_COMBB(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool),C),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool)),B)),E)).
% 5.76/5.99    Following clause subsumed by 8068 during input processing: 0 [copy,8064,flip.1] {-} hAPP(hAPP(c_COMBS(A,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),A),c_fdisj),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(B,tc_fun(A,tc_HOL_Obool)),C),D))),E)=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(B,tc_fun(A,tc_HOL_Obool)),C),hAPP(hAPP(c_COMBC(B,tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(A,tc_HOL_Obool),tc_fun(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),B),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool))),D)),E)).
% 5.89/6.14    Following clause subsumed by 8062 during input processing: 0 [copy,8066,flip.1] {-} hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,tc_fun(B,tc_HOL_Obool)),C),hAPP(hAPP(c_COMBB(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool),A),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(B,tc_HOL_Obool)),D)),E))=hAPP(hAPP(c_COMBS(B,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),B),c_fdisj),D)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,tc_fun(B,tc_HOL_Obool)),C),E)).
% 5.89/6.14    Following clause subsumed by 8064 during input processing: 0 [copy,8068,flip.1] {-} hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,tc_fun(B,tc_HOL_Obool)),C),hAPP(hAPP(c_COMBC(A,tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(B,tc_HOL_Obool),tc_fun(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool)),A),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(B,tc_HOL_Obool))),D)),E))=hAPP(hAPP(c_COMBS(B,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),B),c_fdisj),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,tc_fun(B,tc_HOL_Obool)),C),D))),E).
% 5.89/6.14    Following clause subsumed by 8091 during input processing: 0 [copy,8090,flip.1] {-} hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,tc_fun(B,tc_HOL_Obool)),C),D)=c_Complete__Lattice_OInf__class_OInf(tc_fun(B,tc_HOL_Obool),hAPP(c_Set_Oimage(A,tc_fun(B,tc_HOL_Obool),D),C)).
% 5.89/6.14    Following clause subsumed by 8090 during input processing: 0 [copy,8091,flip.1] {-} c_Complete__Lattice_OInf__class_OInf(tc_fun(A,tc_HOL_Obool),hAPP(c_Set_Oimage(B,tc_fun(A,tc_HOL_Obool),C),D))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(B,tc_fun(A,tc_HOL_Obool)),D),C).
% 5.89/6.14    Following clause subsumed by 8147 during input processing: 0 [copy,8146,flip.1] {-} c_Complete__Lattice_OSup__class_OSup(tc_fun(A,tc_HOL_Obool),hAPP(c_Set_Oimage(B,tc_fun(A,tc_HOL_Obool),C),D))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(B,tc_fun(A,tc_HOL_Obool)),D),C).
% 5.89/6.14    Following clause subsumed by 8146 during input processing: 0 [copy,8147,flip.1] {-} hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,tc_fun(B,tc_HOL_Obool)),C),D)=c_Complete__Lattice_OSup__class_OSup(tc_fun(B,tc_HOL_Obool),hAPP(c_Set_Oimage(A,tc_fun(B,tc_HOL_Obool),D),C)).
% 5.89/6.14    Following clause subsumed by 11356 during input processing: 0 [copy,8244,flip.1] {-} c_Option_Ooption_ONone(A)=hAPP(hAPP(c_Option_Omap(B,A),C),c_Option_Ooption_ONone(B)).
% 5.89/6.14  8421 back subsumes 4476.
% 5.89/6.14    Following clause subsumed by 11454 during input processing: 0 [copy,8513,flip.1] {-} c_List_Olist_ONil(A)=c_List_Osublist(A,B,hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),hAPP(c_COMBK(tc_HOL_Obool,tc_Int_Oint),c_fFalse))).
% 5.89/6.14  8542 back subsumes 4529.
% 5.89/6.14    Following clause subsumed by 8670 during input processing: 0 [copy,8669,flip.1] {-} hAPP(c_List_Otl(A),hAPP(hAPP(c_List_Odrop(A),B),C))=hAPP(hAPP(c_List_Odrop(A),B),hAPP(c_List_Otl(A),C)).
% 5.89/6.14    Following clause subsumed by 8669 during input processing: 0 [copy,8670,flip.1] {-} hAPP(hAPP(c_List_Odrop(A),B),hAPP(c_List_Otl(A),C))=hAPP(c_List_Otl(A),hAPP(hAPP(c_List_Odrop(A),B),C)).
% 5.89/6.14    Following clause subsumed by 8860 during input processing: 0 [copy,8859,flip.1] {-} hAPP(c_List_Oset(tc_Nat_Onat),c_List_Oupt(A,B))=hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,A),B).
% 5.89/6.14    Following clause subsumed by 8859 during input processing: 0 [copy,8860,flip.1] {-} hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,A),B)=hAPP(c_List_Oset(tc_Nat_Onat),c_List_Oupt(A,B)).
% 5.89/6.14    Following clause subsumed by 6687 during input processing: 0 [copy,8872,flip.1] {-} c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(c_Nat_OSuc,A),B)=c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,A,B).
% 5.89/6.14    Following clause subsumed by 8917 during input processing: 0 [copy,8917,flip.1] {-} c_List_Oremove1(A,B,c_List_Oremove1(A,C,D))=c_List_Oremove1(A,C,c_List_Oremove1(A,B,D)).
% 5.89/6.14    Following clause subsumed by 11086 during input processing: 0 [copy,9085,flip.1] {-} hAPP(hAPP(A,B),C)=hAPP(hAPP(c_Product__Type_Ointernal__split(D,E,F),A),hAPP(hAPP(c_Product__Type_OPair(D,E),B),C)).
% 5.89/6.14  9093 back subsumes 9092.
% 5.98/6.20  9093 back subsumes 5150.
% 5.98/6.20  9093 back subsumes 5149.
% 5.98/6.20  9093 back subsumes 5148.
% 5.98/6.20  9109 back subsumes 9098.
% 5.98/6.20  9109 back subsumes 9097.
% 5.98/6.20  9375 back subsumes 5869.
% 5.98/6.20    Following clause subsumed by 5858 during input processing: 0 [copy,9379,flip.1] {-} c_Hoare__Mirabelle_Otriple_Otriple__rec(A,B,C,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(A),D),E),F))=hAPP(hAPP(hAPP(C,D),E),F).
% 5.98/6.20    Following clause subsumed by 5859 during input processing: 0 [copy,9380,flip.1] {-} c_Hoare__Mirabelle_Otriple_Otriple__case(A,B,C,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(A),D),E),F))=hAPP(hAPP(hAPP(C,D),E),F).
% 5.98/6.20    Following clause subsumed by 5883 during input processing: 0 [copy,9383,flip.1] {-} hAPP(c_Fun_Ocomp(A,B,C,D),hAPP(c_Fun_Ocomp(E,A,C,F),G))=hAPP(c_Fun_Ocomp(E,B,C,hAPP(c_Fun_Ocomp(A,B,E,D),F)),G).
% 5.98/6.20    Following clause subsumed by 5894 during input processing: 0 [copy,9392,flip.1] {-} c_Com_Ocom_Ocom__case(A,B,C,D,E,F,G,H,I,c_Com_Ocom_OSemi(J,K))=hAPP(hAPP(E,J),K).
% 5.98/6.20    Following clause subsumed by 5895 during input processing: 0 [copy,9393,flip.1] {-} c_Com_Ocom_Ocom__case(A,B,C,D,E,F,G,H,I,c_Com_Ocom_OCond(J,K,L))=hAPP(hAPP(hAPP(F,J),K),L).
% 5.98/6.20    Following clause subsumed by 5896 during input processing: 0 [copy,9394,flip.1] {-} c_Com_Ocom_Ocom__case(A,B,C,D,E,F,G,H,I,c_Com_Ocom_OWhile(J,K))=hAPP(hAPP(G,J),K).
% 5.98/6.20    Following clause subsumed by 5906 during input processing: 0 [copy,9475,flip.1] {-} c_Com_Ocom_Ocom__case(A,B,C,D,E,F,G,H,I,c_Com_Ocom_OAss(J,K))=hAPP(hAPP(C,J),K).
% 5.98/6.20    Following clause subsumed by 9773 during input processing: 0 [copy,9773,flip.1] {-} hAPP(hAPP(c_COMBS(A,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),A),c_fdisj),B)),C)=hAPP(hAPP(c_COMBS(A,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),A),c_fdisj),C)),B).
% 5.98/6.20    Following clause subsumed by 9774 during input processing: 0 [copy,9774,flip.1] {-} hAPP(hAPP(c_COMBS(A,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),A),c_fdisj),B)),hAPP(hAPP(c_COMBS(A,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),A),c_fdisj),C)),D))=hAPP(hAPP(c_COMBS(A,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),A),c_fdisj),C)),hAPP(hAPP(c_COMBS(A,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),A),c_fdisj),B)),D)).
% 5.98/6.20    Following clause subsumed by 9785 during input processing: 0 [copy,9775,flip.1] {-} hAPP(c_Set_Oimage(A,B,C),hAPP(hAPP(c_COMBS(A,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),A),c_fdisj),D)),E))=hAPP(hAPP(c_COMBS(B,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),B),c_fdisj),hAPP(c_Set_Oimage(A,B,C),D))),hAPP(c_Set_Oimage(A,B,C),E)).
% 5.98/6.20    Following clause subsumed by 5954 during input processing: 0 [copy,9776,flip.1] {-} hAPP(c_Set_Oimage(A,B,C),hAPP(c_COMBK(tc_HOL_Obool,A),c_fFalse))=hAPP(c_COMBK(tc_HOL_Obool,B),c_fFalse).
% 5.98/6.20  9776 back subsumes 6689.
% 5.98/6.20    Following clause subsumed by 9775 during input processing: 0 [copy,9785,flip.1] {-} hAPP(hAPP(c_COMBS(A,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),A),c_fdisj),hAPP(c_Set_Oimage(B,A,C),D))),hAPP(c_Set_Oimage(B,A,C),E))=hAPP(c_Set_Oimage(B,A,C),hAPP(hAPP(c_COMBS(B,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),B),c_fdisj),D)),E)).
% 5.98/6.20    Following clause subsumed by 5985 during input processing: 0 [copy,9873,flip.1] {-} c_Com_Ocom_Ocom__case(A,B,C,D,E,F,G,H,I,c_Com_Ocom_OLocal(J,K,L))=hAPP(hAPP(hAPP(D,J),K),L).
% 5.98/6.20    Following clause subsumed by 5991 during input processing: 0 [copy,9874,flip.1] {-} c_Com_Ovname_Ovname__case(A,B,C,c_Com_Ovname_OLoc(D))=hAPP(C,D).
% 5.98/6.20    Following clause subsumed by 5992 during input processing: 0 [copy,9875,flip.1] {-} c_Com_Ovname_Ovname__rec(A,B,C,c_Com_Ovname_OLoc(D))=hAPP(C,D).
% 6.05/6.26    Following clause subsumed by 11181 during input processing: 0 [copy,9876,flip.1] {-} hAPP(c_Fun_Othe__inv__into(A,B,C,D),E)=c_Enum_Oenum__the(A,hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,C)),hAPP(hAPP(c_COMBC(A,B,tc_HOL_Obool),hAPP(hAPP(c_COMBB(B,tc_fun(B,tc_HOL_Obool),A),c_fequal),D)),E))).
% 6.05/6.26    Following clause subsumed by 9878 during input processing: 0 [copy,9878,flip.1] {-} hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,B)),C)=hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,C)),B).
% 6.05/6.26    Following clause subsumed by 9879 during input processing: 0 [copy,9879,flip.1] {-} hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,B)),hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,C)),D))=hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,C)),hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,B)),D)).
% 6.05/6.26    Following clause subsumed by 9891 during input processing: 0 [copy,9888,flip.1] {-} hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,hAPP(hAPP(c_COMBS(A,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),A),c_fdisj),B)),C))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),D))=hAPP(hAPP(c_COMBS(A,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),A),c_fdisj),hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,B)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),D)))),hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,C)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),D))).
% 6.05/6.26    Following clause subsumed by 9891 during input processing: 0 [copy,9889,flip.1] {-} hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,hAPP(hAPP(c_COMBS(A,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),A),c_fdisj),B)),C))),D)=hAPP(hAPP(c_COMBS(A,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),A),c_fdisj),hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,B)),D))),hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,C)),D)).
% 6.05/6.26  9889 back subsumes 9888.
% 6.05/6.26    Following clause subsumed by 9889 during input processing: 0 [copy,9891,flip.1] {-} hAPP(hAPP(c_COMBS(A,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),A),c_fdisj),hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,B)),C))),hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,D)),C))=hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,hAPP(hAPP(c_COMBS(A,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),A),c_fdisj),B)),D))),C).
% 6.05/6.26    Following clause subsumed by 11703 during input processing: 0 [copy,9946,flip.1,demod,10039,10039] {-} hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,B)),hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),hAPP(c_fequal,C)))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),D)))=hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,B)),hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),D))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),hAPP(c_fequal,C)))).
% 6.05/6.26    Following clause subsumed by 6107 during input processing: 0 [copy,9974,flip.1] {-} c_Com_Ovname_Ovname__rec(A,B,C,c_Com_Ovname_OGlb(D))=hAPP(B,D).
% 6.05/6.26    Following clause subsumed by 6108 during input processing: 0 [copy,9975,flip.1] {-} c_Com_Ovname_Ovname__case(A,B,C,c_Com_Ovname_OGlb(D))=hAPP(B,D).
% 6.05/6.26    Following clause subsumed by 6125 during input processing: 0 [copy,9976,flip.1] {-} hAPP(c_Fun_Ocomp(A,B,C,D),hAPP(hAPP(hAPP(c_Fun_Ofun__upd(C,A),E),F),G))=hAPP(hAPP(hAPP(c_Fun_Ofun__upd(C,B),hAPP(c_Fun_Ocomp(A,B,C,D),E)),F),hAPP(D,G)).
% 6.05/6.26    Following clause subsumed by 11175 during input processing: 0 [copy,9980,flip.1] {-} c_Map_Orestrict__map(A,B,c_Map_Orestrict__map(A,B,C,D),E)=c_Map_Orestrict__map(A,B,C,hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,D)),E)).
% 6.05/6.26    Following clause subsumed by 6188 during input processing: 0 [copy,9982,flip.1] {-} hAPP(c_Map_Orestrict__map(A,B,C,hAPP(c_COMBK(tc_HOL_Obool,A),c_fFalse)),D)=c_Option_Ooption_ONone(B).
% 6.05/6.28    Following clause subsumed by 6241 during input processing: 0 [copy,9998,flip.1] {-} hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),A),B)),C)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),C)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),B),C)).
% 6.05/6.28    Following clause subsumed by 6253 during input processing: 0 [copy,10002,flip.1] {-} hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,A)),B)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B)).
% 6.05/6.28    Following clause subsumed by 6274 during input processing: 0 [copy,10013,flip.1] {-} c_Nat_Onat_Onat__case(A,B,C,hAPP(c_Nat_OSuc,D))=hAPP(C,D).
% 6.05/6.28    Following clause subsumed by 6480 during input processing: 0 [copy,10142,flip.1] {-} hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),B)),C)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),A),C)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),B),C)).
% 6.05/6.28    Following clause subsumed by 6490 during input processing: 0 [copy,10143,flip.1] {-} hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),A),B)),C)=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),A),C)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),B),C)).
% 6.05/6.28    Following clause subsumed by 10683 during input processing: 0 [copy,10144,flip.1] {-} hAPP(c_Relation_OImage(tc_Int_Oint,tc_Int_Oint,c_Relation_OId__on(tc_Int_Oint,hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls))),A)=hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_HOL_Obool,tc_Nat_Onat),A),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint))).
% 6.05/6.28    Following clause subsumed by 6510 during input processing: 0 [copy,10145,flip.1] {-} c_Option_Ooption_Ooption__size(A,B,hAPP(c_Option_Ooption_OSome(A),C))=hAPP(c_Nat_OSuc,hAPP(B,C)).
% 6.05/6.28    Following clause subsumed by 10155 during input processing: 0 [copy,10150,flip.1] {-} hAPP(c_Set_Oimage(A,tc_fun(A,tc_HOL_Obool),B),C)!=hAPP(hAPP(c_COMBC(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool),tc_HOL_Obool),c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool))),C).
% 6.05/6.28    Following clause subsumed by 10150 during input processing: 0 [copy,10155,flip.1] {-} hAPP(hAPP(c_COMBC(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool),tc_HOL_Obool),c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool))),B)!=hAPP(c_Set_Oimage(A,tc_fun(A,tc_HOL_Obool),C),B).
% 6.05/6.28    Following clause subsumed by 6559 during input processing: 0 [copy,10158,flip.1] {-} c_Com_Ocom_Ocom__size(c_Com_Ocom_OSemi(A,B))=hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Com_Ocom_Ocom__size(A)),c_Com_Ocom_Ocom__size(B))).
% 6.05/6.28    Following clause subsumed by 11003 during input processing: 0 [copy,10424,flip.1] {-} c_Com_Ocom_Ocom__size(c_Com_Ocom_OCond(A,B,C))=hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Com_Ocom_Ocom__size(B)),c_Com_Ocom_Ocom__size(C))).
% 6.05/6.28    Following clause subsumed by 11131 during input processing: 0 [copy,10427,flip.1] {-} hAPP(c_Product__Type_Ofst(tc_Nat_Onat,tc_Nat_Onat),c_Divides_Odivmod__nat(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),B),C)))=hAPP(c_Product__Type_Ofst(tc_Nat_Onat,tc_Nat_Onat),c_Divides_Odivmod__nat(hAPP(c_Product__Type_Ofst(tc_Nat_Onat,tc_Nat_Onat),c_Divides_Odivmod__nat(A,B)),C)).
% 6.05/6.28  10441 back subsumes 2358.
% 6.05/6.28    Following clause subsumed by 6691 during input processing: 0 [copy,10443,flip.1] {-} hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Nat_Onat,hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),A)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,B,C))=c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B),A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),C),A)).
% 6.05/6.28    Following clause subsumed by 11380 during input processing: 0 [copy,10449,flip.1] {-} c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Relation_OId__on(tc_prod(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_fequal,hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls))),hAPP(c_Int_Onat,c_Int_OPls)))))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),c_Relation_OId__on(tc_Nat_Onat,hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),hAPP(c_COMBK(tc_HOL_Obool,tc_Int_Oint),c_fFalse))))))))),B)=c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Int_Oint,A,B).
% 6.05/6.28    Following clause subsumed by 10571 during input processing: 0 [copy,10453,flip.1] {-} hAPP(hAPP(c_Equiv__Relations_Oquotient(A),hAPP(c_fequal,B)),C)=hAPP(c_fequal,hAPP(c_Relation_OImage(A,A,C),hAPP(c_fequal,B))).
% 6.05/6.28    Following clause subsumed by 6778 during input processing: 0 [copy,10454,flip.1] {-} hAPP(c_Relation_OImage(A,B,C),hAPP(hAPP(c_COMBS(A,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),A),c_fdisj),D)),E))=hAPP(hAPP(c_COMBS(B,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),B),c_fdisj),hAPP(c_Relation_OImage(A,B,C),D))),hAPP(c_Relation_OImage(A,B,C),E)).
% 6.05/6.28  10454 back subsumes 9892.
% 6.05/6.28    Following clause subsumed by 6780 during input processing: 0 [copy,10455,flip.1] {-} hAPP(c_Relation_OImage(A,B,hAPP(hAPP(c_COMBS(tc_prod(A,B),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_prod(A,B)),c_fdisj),C)),D)),E)=hAPP(hAPP(c_COMBS(B,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),B),c_fdisj),hAPP(c_Relation_OImage(A,B,C),E))),hAPP(c_Relation_OImage(A,B,D),E)).
% 6.05/6.28    Following clause subsumed by 6782 during input processing: 0 [copy,10456,flip.1] {-} hAPP(c_Relation_OImage(A,B,C),hAPP(c_COMBK(tc_HOL_Obool,A),c_fFalse))=hAPP(c_COMBK(tc_HOL_Obool,B),c_fFalse).
% 6.05/6.28    Following clause subsumed by 6787 during input processing: 0 [copy,10457,flip.1] {-} hAPP(hAPP(c_Equiv__Relations_Oquotient(A),B),C)=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,tc_fun(tc_fun(A,tc_HOL_Obool),tc_HOL_Obool)),B),hAPP(hAPP(c_COMBC(A,tc_fun(tc_fun(A,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(A,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(A,tc_HOL_Obool),tc_fun(tc_fun(tc_fun(A,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(A,tc_HOL_Obool),tc_HOL_Obool)),A),c_Set_Oinsert(tc_fun(A,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool),A),c_Relation_OImage(A,A,C)),hAPP(hAPP(c_COMBC(A,tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),c_Set_Oinsert(A)),hAPP(c_COMBK(tc_HOL_Obool,A),c_fFalse))))),hAPP(c_COMBK(tc_HOL_Obool,tc_fun(A,tc_HOL_Obool)),c_fFalse))).
% 6.05/6.28    Following clause subsumed by 6788 during input processing: 0 [copy,10458,flip.1] {-} hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,tc_fun(B,tc_HOL_Obool)),C),hAPP(c_Fun_Ocomp(D,tc_fun(B,tc_HOL_Obool),A,E),F))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(D,tc_fun(B,tc_HOL_Obool)),hAPP(c_Set_Oimage(A,D,F),C)),E).
% 6.05/6.28    Following clause subsumed by 6789 during input processing: 0 [copy,10459,flip.1] {-} hAPP(c_Relation_OImage(A,B,C),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(D,tc_fun(A,tc_HOL_Obool)),E),F))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(D,tc_fun(B,tc_HOL_Obool)),E),hAPP(hAPP(c_COMBB(tc_fun(A,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool),D),c_Relation_OImage(A,B,C)),F)).
% 6.05/6.28    Following clause subsumed by 6791 during input processing: 0 [copy,10460,flip.1] {-} hAPP(c_Relation_OImage(A,B,C),D)=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,tc_fun(B,tc_HOL_Obool)),D),hAPP(hAPP(c_COMBB(tc_fun(A,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool),A),c_Relation_OImage(A,B,C)),hAPP(hAPP(c_COMBC(A,tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),c_Set_Oinsert(A)),hAPP(c_COMBK(tc_HOL_Obool,A),c_fFalse)))).
% 6.05/6.28    Following clause subsumed by 6798 during input processing: 0 [copy,10463,flip.1] {-} hAPP(c_Set_Oimage(A,B,C),D)=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,tc_fun(B,tc_HOL_Obool)),D),hAPP(hAPP(c_COMBC(A,tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(B,tc_fun(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool)),A),c_Set_Oinsert(B)),C)),hAPP(c_COMBK(tc_HOL_Obool,B),c_fFalse))).
% 6.05/6.28    Following clause subsumed by 10989 during input processing: 0 [copy,10465,flip.1] {-} hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(A,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(c_Int_Onat,c_Int_OPls),B)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(A,tc_HOL_Obool),tc_Nat_Onat),C),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),D)))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(A,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,D,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B),D))),C).
% 6.05/6.28    Following clause subsumed by 6819 during input processing: 0 [copy,10466,flip.1] {-} hAPP(c_Set_Oimage(A,B,C),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(D,tc_fun(A,tc_HOL_Obool)),E),F))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(D,tc_fun(B,tc_HOL_Obool)),E),hAPP(hAPP(c_COMBB(tc_fun(A,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool),D),c_Set_Oimage(A,B,C)),F)).
% 6.05/6.28    Following clause subsumed by 6822 during input processing: 0 [copy,10467,flip.1] {-} hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,tc_fun(B,tc_HOL_Obool)),hAPP(hAPP(c_COMBS(A,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),A),c_fdisj),C)),D)),E)=hAPP(hAPP(c_COMBS(B,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),B),c_fdisj),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,tc_fun(B,tc_HOL_Obool)),C),E))),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,tc_fun(B,tc_HOL_Obool)),D),E)).
% 6.05/6.28    Following clause subsumed by 6824 during input processing: 0 [copy,10468,flip.1] {-} hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,tc_fun(B,tc_HOL_Obool)),C),hAPP(hAPP(c_COMBS(A,tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(B,tc_HOL_Obool),tc_fun(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool)),A),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(B,tc_HOL_Obool))),D)),E))=hAPP(hAPP(c_COMBS(B,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),B),c_fdisj),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,tc_fun(B,tc_HOL_Obool)),C),D))),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,tc_fun(B,tc_HOL_Obool)),C),E)).
% 6.05/6.28    Following clause subsumed by 10471 during input processing: 0 [copy,10469,flip.1] {-} hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,tc_fun(B,tc_HOL_Obool)),C),hAPP(hAPP(c_COMBB(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool),A),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(B,tc_HOL_Obool)),D)),E))=hAPP(c_Relation_OImage(B,B,c_Relation_OId__on(B,D)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,tc_fun(B,tc_HOL_Obool)),C),E)).
% 6.05/6.28    Following clause subsumed by 10472 during input processing: 0 [copy,10470,flip.1] {-} hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,tc_fun(B,tc_HOL_Obool)),C),hAPP(hAPP(c_COMBC(A,tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(B,tc_HOL_Obool),tc_fun(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool)),A),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(B,tc_HOL_Obool))),D)),E))=hAPP(c_Relation_OImage(B,B,c_Relation_OId__on(B,hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,tc_fun(B,tc_HOL_Obool)),C),D))),E).
% 6.05/6.28    Following clause subsumed by 10469 during input processing: 0 [copy,10471,flip.1] {-} hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,B)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,tc_fun(A,tc_HOL_Obool)),D),E))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,tc_fun(A,tc_HOL_Obool)),D),hAPP(hAPP(c_COMBB(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool),C),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(A,tc_HOL_Obool)),B)),E)).
% 6.05/6.28    Following clause subsumed by 10470 during input processing: 0 [copy,10472,flip.1] {-} hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(B,tc_fun(A,tc_HOL_Obool)),C),D))),E)=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(B,tc_fun(A,tc_HOL_Obool)),C),hAPP(hAPP(c_COMBC(B,tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(A,tc_HOL_Obool),tc_fun(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),B),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(A,tc_HOL_Obool))),D)),E)).
% 6.05/6.28    Following clause subsumed by 10475 during input processing: 0 [copy,10474,flip.1] {-} hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,tc_fun(B,tc_HOL_Obool)),C),hAPP(hAPP(c_COMBC(A,tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(B,tc_HOL_Obool),tc_fun(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool)),A),c_Groups_Ominus__class_Ominus(tc_fun(B,tc_HOL_Obool))),D)),E))=hAPP(c_Relation_OImage(B,B,c_Relation_OId__on(B,hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,tc_fun(B,tc_HOL_Obool)),C),D))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,B),c_fNot),E)).
% 6.05/6.28    Following clause subsumed by 10474 during input processing: 0 [copy,10475,flip.1] {-} hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(B,tc_fun(A,tc_HOL_Obool)),C),D))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),E))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(B,tc_fun(A,tc_HOL_Obool)),C),hAPP(hAPP(c_COMBC(B,tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(A,tc_HOL_Obool),tc_fun(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),B),c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool))),D)),E)).
% 6.05/6.28    Following clause subsumed by 11101 during input processing: 0 [copy,10482,flip.1] {-} hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),A),hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_Odivmod__int(B,A)))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B),c_Divides_Odiv__class_Omod(tc_Int_Oint,B,A)).
% 6.05/6.28  10499 back subsumes 8464.
% 6.05/6.28  10499 back subsumes 7813.
% 6.05/6.28    Following clause subsumed by 10453 during input processing: 0 [copy,10571,flip.1] {-} hAPP(c_fequal,hAPP(c_Relation_OImage(A,A,B),hAPP(c_fequal,C)))=hAPP(hAPP(c_Equiv__Relations_Oquotient(A),hAPP(c_fequal,C)),B).
% 6.05/6.28    Following clause subsumed by 7061 during input processing: 0 [copy,10574,flip.1] {-} hAPP(c_Set_Ovimage(A,B,C),hAPP(c_COMBK(tc_HOL_Obool,B),c_fTrue))=hAPP(c_COMBK(tc_HOL_Obool,A),c_fTrue).
% 6.05/6.28    Following clause subsumed by 7063 during input processing: 0 [copy,10575,flip.1] {-} hAPP(c_Set_Ovimage(A,B,C),D)=hAPP(hAPP(c_COMBB(B,tc_HOL_Obool,A),D),C).
% 6.05/6.28    Following clause subsumed by 7064 during input processing: 0 [copy,10576,flip.1] {-} hAPP(c_Set_Ovimage(A,B,C),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(D,tc_fun(B,tc_HOL_Obool)),E),F))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(D,tc_fun(A,tc_HOL_Obool)),E),hAPP(hAPP(c_COMBB(tc_fun(B,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool),D),c_Set_Ovimage(A,B,C)),F)).
% 6.05/6.28    Following clause subsumed by 7068 during input processing: 0 [copy,10577,flip.1] {-} hAPP(c_Set_Ovimage(A,B,C),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,B),c_fNot),D))=hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),hAPP(c_Set_Ovimage(A,B,C),D)).
% 6.05/6.32    Following clause subsumed by 7072 during input processing: 0 [copy,10580,flip.1] {-} hAPP(c_Set_Ovimage(A,B,C),hAPP(hAPP(c_COMBS(B,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),B),c_fdisj),D)),E))=hAPP(hAPP(c_COMBS(A,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),A),c_fdisj),hAPP(c_Set_Ovimage(A,B,C),D))),hAPP(c_Set_Ovimage(A,B,C),E)).
% 6.05/6.32    Following clause subsumed by 7076 during input processing: 0 [copy,10583,flip.1] {-} hAPP(c_Set_Ovimage(A,B,C),hAPP(c_COMBK(tc_HOL_Obool,B),c_fFalse))=hAPP(c_COMBK(tc_HOL_Obool,A),c_fFalse).
% 6.05/6.32    Following clause subsumed by 11156 during input processing: 0 [copy,10584,flip.1] {-} hAPP(c_Set_Oimage(A,B,C),hAPP(c_Set_Ovimage(A,B,C),D))=hAPP(c_Relation_OImage(B,B,c_Relation_OId__on(B,D)),hAPP(c_Set_Oimage(A,B,C),hAPP(c_COMBK(tc_HOL_Obool,A),c_fTrue))).
% 6.05/6.32    Following clause subsumed by 7091 during input processing: 0 [copy,10585,flip.1] {-} hAPP(c_Set_Ovimage(A,B,C),D)=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(B,tc_fun(A,tc_HOL_Obool)),D),hAPP(hAPP(c_COMBB(tc_fun(B,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool),B),c_Set_Ovimage(A,B,C)),hAPP(hAPP(c_COMBC(B,tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool)),c_Set_Oinsert(B)),hAPP(c_COMBK(tc_HOL_Obool,B),c_fFalse)))).
% 6.05/6.32    Following clause subsumed by 7096 during input processing: 0 [copy,10587,flip.1] {-} hAPP(hAPP(c_Nitpick_Oint__gcd,A),B)=hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),c_Nitpick_Onat__gcd(hAPP(c_Int_Onat,hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),A)),hAPP(c_Int_Onat,hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),B)))).
% 6.05/6.32    Following clause subsumed by 10144 during input processing: 0 [copy,10683,flip.1] {-} hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_HOL_Obool,tc_Nat_Onat),A),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)))=hAPP(c_Relation_OImage(tc_Int_Oint,tc_Int_Oint,c_Relation_OId__on(tc_Int_Oint,hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls))),A).
% 6.05/6.32  10814 back subsumes 10132.
% 6.05/6.32  10888 back subsumes 10622.
% 6.05/6.32  10978 back subsumes 10280.
% 6.05/6.32    Following clause subsumed by 10465 during input processing: 0 [copy,10989,flip.1] {-} hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(A,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,B,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),C),B))),D)=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(A,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(c_Int_Onat,c_Int_OPls),C)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(A,tc_HOL_Obool),tc_Nat_Onat),D),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),B))).
% 6.05/6.32    Following clause subsumed by 10424 during input processing: 0 [copy,11003,flip.1] {-} hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Com_Ocom_Ocom__size(A)),c_Com_Ocom_Ocom__size(B)))=c_Com_Ocom_Ocom__size(c_Com_Ocom_OCond(C,A,B)).
% 6.05/6.32    Following clause subsumed by 7202 during input processing: 0 [copy,11009,flip.1] {-} hAPP(c_Nat_Onat_Onat__rec(A,B,C),hAPP(c_Nat_OSuc,D))=hAPP(hAPP(C,D),hAPP(c_Nat_Onat_Onat__rec(A,B,C),D)).
% 6.05/6.32  11035 back subsumes 10702.
% 6.05/6.32  11035 back subsumes 10701.
% 6.05/6.32    Following clause subsumed by 7246 during input processing: 0 [copy,11050,flip.1] {-} hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),A)),B)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B),B)).
% 6.05/6.32    Following clause subsumed by 7270 during input processing: 0 [copy,11056,flip.1] {-} hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),A))=hAPP(hAPP(c_HOL_OLet(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Int_Onat,A)),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_COMBI(tc_Nat_Onat))).
% 6.05/6.32    Following clause subsumed by 7301 during input processing: 0 [copy,11059,flip.1] {-} hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls)))),A)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),A),A).
% 6.05/6.32    Following clause subsumed by 11610 during input processing: 0 [copy,11081,flip.1] {-} c_Int_Oint__ge__less__than(A)=hAPP(c_Product__Type_Ointernal__split(tc_Int_Oint,tc_Int_Oint,tc_HOL_Obool),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_HOL_Obool),tc_fun(tc_Int_Oint,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(tc_Int_Oint,tc_HOL_Obool),tc_fun(tc_Int_Oint,tc_HOL_Obool)),tc_Int_Oint),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),A)))),c_Orderings_Oord__class_Oless(tc_Int_Oint))).
% 6.05/6.32    Following clause subsumed by 11609 during input processing: 0 [copy,11082,flip.1] {-} c_Int_Oint__ge__less__than2(A)=hAPP(c_Product__Type_Ointernal__split(tc_Int_Oint,tc_Int_Oint,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_HOL_Obool),tc_fun(tc_Int_Oint,tc_HOL_Obool),tc_Int_Oint),hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),A)))),c_Orderings_Oord__class_Oless(tc_Int_Oint))).
% 6.05/6.32    Following clause subsumed by 11155 during input processing: 0 [copy,11083,flip.1] {-} hAPP(c_Relation_OImage(A,B,C),hAPP(c_fequal,D))=hAPP(c_Set_Ovimage(B,tc_prod(A,B),hAPP(c_Product__Type_OPair(A,B),D)),C).
% 6.05/6.32    Following clause subsumed by 9085 during input processing: 0 [copy,11086,flip.1] {-} hAPP(hAPP(c_Product__Type_Ointernal__split(A,B,C),D),hAPP(hAPP(c_Product__Type_OPair(A,B),E),F))=hAPP(hAPP(D,E),F).
% 6.05/6.32    Following clause subsumed by 7416 during input processing: 0 [copy,11087,flip.1] {-} c_Enum_Oenum__the(tc_prod(A,B),c_Nitpick_Oprod(A,B,hAPP(c_fequal,C),hAPP(c_fequal,D)))=hAPP(hAPP(c_Product__Type_OPair(A,B),C),D).
% 6.05/6.32    Following clause subsumed by 7432 during input processing: 0 [copy,11089,flip.1] {-} c_Divides_OposDivAlg(c_Int_OPls,A)=hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Int_OPls),c_Int_OPls).
% 6.05/6.32    Following clause subsumed by 7437 during input processing: 0 [copy,11090,flip.1] {-} hAPP(c_Product__Type_Oapsnd(A,B,C,D),hAPP(c_Product__Type_Oapsnd(E,A,C,F),G))=hAPP(c_Product__Type_Oapsnd(E,B,C,hAPP(c_Fun_Ocomp(A,B,E,D),F)),G).
% 6.05/6.32    Following clause subsumed by 7441 during input processing: 0 [copy,11091,flip.1] {-} hAPP(c_Product__Type_Oapsnd(A,B,C,D),hAPP(hAPP(c_Product__Type_OPair(C,A),E),F))=hAPP(hAPP(c_Product__Type_OPair(C,B),E),hAPP(D,F)).
% 6.05/6.32    Following clause subsumed by 7454 during input processing: 0 [copy,11092,flip.1] {-} c_Divides_Opdivmod(A,B)=c_Divides_Odivmod__int(hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),A),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),B)).
% 6.05/6.32    Following clause subsumed by 7463 during input processing: 0 [copy,11093,flip.1] {-} hAPP(c_Product__Type_Osnd(A,B),hAPP(c_Product__Type_Oapsnd(C,B,A,D),E))=hAPP(D,hAPP(c_Product__Type_Osnd(A,C),E)).
% 6.05/6.32    Following clause subsumed by 7486 during input processing: 0 [copy,11094,flip.1] {-} hAPP(c_Product__Type_Ofst(A,B),hAPP(c_Product__Type_Oapsnd(C,B,A,D),E))=hAPP(c_Product__Type_Ofst(A,C),E).
% 6.05/6.32    Following clause subsumed by 11597 during input processing: 0 [copy,11095,flip.1] {-} hAPP(hAPP(c_Product__Type_Ointernal__split(A,B,C),D),E)=hAPP(hAPP(D,hAPP(c_Product__Type_Ofst(A,B),E)),hAPP(c_Product__Type_Osnd(A,B),E)).
% 6.05/6.32    Following clause subsumed by 10482 during input processing: 0 [copy,11101,flip.1] {-} hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),A),c_Divides_Odiv__class_Omod(tc_Int_Oint,A,B))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),B),hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_Odivmod__int(A,B))).
% 6.05/6.32    Following clause subsumed by 11594 during input processing: 0 [copy,11118,flip.1] {-} hAPP(hAPP(c_Product__Type_Ointernal__split(A,B,C),hAPP(c_Fun_Ocomp(D,tc_fun(B,C),A,E),F)),G)=hAPP(hAPP(E,hAPP(F,hAPP(c_Product__Type_Ofst(A,B),G))),hAPP(c_Product__Type_Osnd(A,B),G)).
% 6.14/6.33    Following clause subsumed by 10427 during input processing: 0 [copy,11131,flip.1] {-} hAPP(c_Product__Type_Ofst(tc_Nat_Onat,tc_Nat_Onat),c_Divides_Odivmod__nat(hAPP(c_Product__Type_Ofst(tc_Nat_Onat,tc_Nat_Onat),c_Divides_Odivmod__nat(A,B)),C))=hAPP(c_Product__Type_Ofst(tc_Nat_Onat,tc_Nat_Onat),c_Divides_Odivmod__nat(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),B),C))).
% 6.14/6.33    Following clause subsumed by 7513 during input processing: 0 [copy,11138,flip.1] {-} c_Product__Type_Oprod_Oprod__rec(A,B,C,D,hAPP(hAPP(c_Product__Type_OPair(A,B),E),F))=hAPP(hAPP(D,E),F).
% 6.14/6.33    Following clause subsumed by 7521 during input processing: 0 [copy,11141,flip.1] {-} hAPP(c_Product__Type_Oapsnd(A,B,C,D),hAPP(c_Product__Type_Oapfst(E,C,A,F),G))=hAPP(hAPP(c_Product__Type_OPair(C,B),hAPP(F,hAPP(c_Product__Type_Ofst(E,A),G))),hAPP(D,hAPP(c_Product__Type_Osnd(E,A),G))).
% 6.14/6.33    Following clause subsumed by 7522 during input processing: 0 [copy,11142,flip.1] {-} hAPP(c_Product__Type_Oapfst(A,B,C,D),hAPP(hAPP(c_Product__Type_OPair(A,C),E),F))=hAPP(hAPP(c_Product__Type_OPair(B,C),hAPP(D,E)),F).
% 6.14/6.33    Following clause subsumed by 7523 during input processing: 0 [copy,11143,flip.1] {-} hAPP(c_Product__Type_Ofst(A,B),hAPP(c_Product__Type_Oapfst(C,A,B,D),E))=hAPP(D,hAPP(c_Product__Type_Ofst(C,B),E)).
% 6.14/6.33    Following clause subsumed by 7526 during input processing: 0 [copy,11144,flip.1] {-} hAPP(c_Product__Type_Osnd(A,B),hAPP(c_Product__Type_Oapfst(C,A,B,D),E))=hAPP(c_Product__Type_Osnd(C,B),E).
% 6.14/6.33    Following clause subsumed by 7527 during input processing: 0 [copy,11145,flip.1] {-} hAPP(c_Product__Type_Oapfst(A,B,C,D),hAPP(c_Product__Type_Oapfst(E,A,C,F),G))=hAPP(c_Product__Type_Oapfst(E,B,C,hAPP(c_Fun_Ocomp(A,B,E,D),F)),G).
% 6.14/6.33    Following clause subsumed by 7528 during input processing: 0 [copy,11146,flip.1] {-} hAPP(c_Product__Type_Oapsnd(A,B,C,D),hAPP(c_Product__Type_Oapfst(E,C,A,F),G))=hAPP(c_Product__Type_Oapfst(E,C,B,F),hAPP(c_Product__Type_Oapsnd(A,B,E,D),G)).
% 6.14/6.33    Following clause subsumed by 7529 during input processing: 0 [copy,11147,flip.1] {-} hAPP(c_Product__Type_Oapfst(A,B,C,D),hAPP(c_Product__Type_Oapsnd(E,C,A,F),G))=hAPP(hAPP(c_Product__Type_OPair(B,C),hAPP(D,hAPP(c_Product__Type_Ofst(A,E),G))),hAPP(F,hAPP(c_Product__Type_Osnd(A,E),G))).
% 6.14/6.33    Following clause subsumed by 11083 during input processing: 0 [copy,11155,flip.1] {-} hAPP(c_Set_Ovimage(A,tc_prod(B,A),hAPP(c_Product__Type_OPair(B,A),C)),D)=hAPP(c_Relation_OImage(B,A,D),hAPP(c_fequal,C)).
% 6.14/6.33    Following clause subsumed by 10584 during input processing: 0 [copy,11156,flip.1] {-} hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,B)),hAPP(c_Set_Oimage(C,A,D),hAPP(c_COMBK(tc_HOL_Obool,C),c_fTrue)))=hAPP(c_Set_Oimage(C,A,D),hAPP(c_Set_Ovimage(C,A,D),B)).
% 6.14/6.33    Following clause subsumed by 9980 during input processing: 0 [copy,11175,flip.1] {-} c_Map_Orestrict__map(A,B,C,hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,D)),E))=c_Map_Orestrict__map(A,B,c_Map_Orestrict__map(A,B,C,D),E).
% 6.14/6.33    Following clause subsumed by 9876 during input processing: 0 [copy,11181,flip.1] {-} c_Enum_Oenum__the(A,hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,B)),hAPP(hAPP(c_COMBC(A,C,tc_HOL_Obool),hAPP(hAPP(c_COMBB(C,tc_fun(C,tc_HOL_Obool),A),c_fequal),D)),E)))=hAPP(c_Fun_Othe__inv__into(A,C,B,D),E).
% 6.14/6.33    Following clause subsumed by 11444 during input processing: 0 [copy,11192,flip.1] {-} c_Code__Numeral_Ocode__numeral_Ocode__numeral__case(A,B,C,hAPP(c_Code__Numeral_Oof__nat,hAPP(c_Nat_OSuc,hAPP(c_Code__Numeral_Onat__of,D))))=hAPP(C,D).
% 6.14/6.33    Following clause subsumed by 7613 during input processing: 0 [copy,11193,flip.1] {-} hAPP(hAPP(c_Relation_Orel__comp(A,B,C),D),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(E,tc_fun(tc_prod(B,C),tc_HOL_Obool)),F),G))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(E,tc_fun(tc_prod(A,C),tc_HOL_Obool)),F),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(B,C),tc_HOL_Obool),tc_fun(tc_prod(A,C),tc_HOL_Obool),E),hAPP(c_Relation_Orel__comp(A,B,C),D)),G)).
% 6.14/6.33    Following clause subsumed by 7614 during input processing: 0 [copy,11194,flip.1] {-} hAPP(hAPP(c_Relation_Orel__comp(A,B,C),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(D,tc_fun(tc_prod(A,B),tc_HOL_Obool)),E),F)),G)=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(D,tc_fun(tc_prod(A,C),tc_HOL_Obool)),E),hAPP(hAPP(c_COMBC(D,tc_fun(tc_prod(B,C),tc_HOL_Obool),tc_fun(tc_prod(A,C),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(A,B),tc_HOL_Obool),tc_fun(tc_fun(tc_prod(B,C),tc_HOL_Obool),tc_fun(tc_prod(A,C),tc_HOL_Obool)),D),c_Relation_Orel__comp(A,B,C)),F)),G)).
% 6.14/6.33    Following clause subsumed by 7616 during input processing: 0 [copy,11195,flip.1] {-} hAPP(hAPP(c_Relation_Orel__comp(A,B,C),D),hAPP(c_COMBK(tc_HOL_Obool,tc_prod(B,C)),c_fFalse))=hAPP(c_COMBK(tc_HOL_Obool,tc_prod(A,C)),c_fFalse).
% 6.14/6.33    Following clause subsumed by 7618 during input processing: 0 [copy,11196,flip.1] {-} hAPP(hAPP(c_Relation_Orel__comp(A,B,C),hAPP(c_COMBK(tc_HOL_Obool,tc_prod(A,B)),c_fFalse)),D)=hAPP(c_COMBK(tc_HOL_Obool,tc_prod(A,C)),c_fFalse).
% 6.14/6.33    Following clause subsumed by 7620 during input processing: 0 [copy,11197,flip.1] {-} hAPP(hAPP(c_Relation_Orel__comp(A,B,C),hAPP(hAPP(c_COMBS(tc_prod(A,B),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_prod(A,B)),c_fdisj),D)),E)),F)=hAPP(hAPP(c_COMBS(tc_prod(A,C),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_prod(A,C)),c_fdisj),hAPP(hAPP(c_Relation_Orel__comp(A,B,C),D),F))),hAPP(hAPP(c_Relation_Orel__comp(A,B,C),E),F)).
% 6.14/6.33    Following clause subsumed by 7622 during input processing: 0 [copy,11198,flip.1] {-} hAPP(hAPP(c_Relation_Orel__comp(A,B,C),D),hAPP(hAPP(c_COMBS(tc_prod(B,C),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_prod(B,C)),c_fdisj),E)),F))=hAPP(hAPP(c_COMBS(tc_prod(A,C),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_prod(A,C)),c_fdisj),hAPP(hAPP(c_Relation_Orel__comp(A,B,C),D),E))),hAPP(hAPP(c_Relation_Orel__comp(A,B,C),D),F)).
% 6.14/6.33    Following clause subsumed by 7623 during input processing: 0 [copy,11199,flip.1] {-} hAPP(hAPP(c_Relation_Orel__comp(A,B,C),hAPP(hAPP(c_Relation_Orel__comp(A,D,B),E),F)),G)=hAPP(hAPP(c_Relation_Orel__comp(A,D,C),E),hAPP(hAPP(c_Relation_Orel__comp(D,B,C),F),G)).
% 6.14/6.33    Following clause subsumed by 7647 during input processing: 0 [copy,11200,flip.1] {-} hAPP(c_List_Olexn(A,B),hAPP(c_Int_Onat,c_Int_OPls))=c_Relation_OId__on(tc_List_Olist(A),hAPP(c_COMBK(tc_HOL_Obool,tc_List_Olist(A)),c_fFalse)).
% 6.14/6.33    Following clause subsumed by 7698 during input processing: 0 [copy,11204,flip.1] {-} hAPP(c_Relation_OField(A),B)=hAPP(hAPP(c_COMBS(A,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),A),c_fdisj),hAPP(c_Relation_ODomain(A,A),B))),hAPP(c_Relation_ORange(A,A),B)).
% 6.14/6.33    Following clause subsumed by 7703 during input processing: 0 [copy,11209,flip.1] {-} hAPP(c_Set_Oimage(A,tc_prod(B,C),hAPP(hAPP(c_COMBS(A,C,tc_prod(B,C)),hAPP(hAPP(c_COMBB(B,tc_fun(C,tc_prod(B,C)),A),c_Product__Type_OPair(B,C)),D)),E)),F)=hAPP(hAPP(c_Product__Type_OSigma(B,C),hAPP(c_Set_Oimage(A,B,D),F)),hAPP(hAPP(c_COMBB(tc_fun(A,tc_HOL_Obool),tc_fun(C,tc_HOL_Obool),B),c_Set_Oimage(A,C,E)),hAPP(hAPP(c_COMBC(B,tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(A,tc_HOL_Obool),tc_fun(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),B),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(A,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(B,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool),B),c_Set_Ovimage(A,B,D)),hAPP(hAPP(c_COMBC(B,tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool)),c_Set_Oinsert(B)),hAPP(c_COMBK(tc_HOL_Obool,B),c_fFalse))))),F))).
% 6.14/6.33    Following clause subsumed by 7705 during input processing: 0 [copy,11210,flip.1] {-} hAPP(hAPP(c_Product__Type_OSigma(A,B),hAPP(c_COMBK(tc_HOL_Obool,A),c_fFalse)),C)=hAPP(c_COMBK(tc_HOL_Obool,tc_prod(A,B)),c_fFalse).
% 6.14/6.33    Following clause subsumed by 11235 during input processing: 0 [copy,11212,flip.1] {-} c_Nitpick_Oprod(A,B,C,hAPP(c_COMBK(tc_HOL_Obool,B),c_fFalse))=hAPP(c_COMBK(tc_HOL_Obool,tc_prod(A,B)),c_fFalse).
% 6.14/6.33    Following clause subsumed by 7715 during input processing: 0 [copy,11215,flip.1] {-} hAPP(hAPP(c_Product__Type_OSigma(A,B),hAPP(hAPP(c_COMBS(A,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),A),c_fdisj),C)),D)),E)=hAPP(hAPP(c_COMBS(tc_prod(A,B),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_prod(A,B)),c_fdisj),hAPP(hAPP(c_Product__Type_OSigma(A,B),C),E))),hAPP(hAPP(c_Product__Type_OSigma(A,B),D),E)).
% 6.14/6.33    Following clause subsumed by 7717 during input processing: 0 [copy,11216,flip.1] {-} hAPP(hAPP(c_Product__Type_OSigma(A,B),C),hAPP(hAPP(c_COMBS(A,tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(B,tc_HOL_Obool),tc_fun(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool)),A),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(B,tc_HOL_Obool))),D)),E))=hAPP(hAPP(c_COMBS(tc_prod(A,B),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_prod(A,B)),c_fdisj),hAPP(hAPP(c_Product__Type_OSigma(A,B),C),D))),hAPP(hAPP(c_Product__Type_OSigma(A,B),C),E)).
% 6.14/6.33    Following clause subsumed by 7720 during input processing: 0 [copy,11219,flip.1] {-} hAPP(hAPP(c_Product__Type_OSigma(A,B),C),hAPP(hAPP(c_COMBS(A,tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(B,tc_HOL_Obool),tc_fun(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool)),A),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(B,tc_HOL_Obool))),D)),E))=hAPP(c_Relation_OImage(tc_prod(A,B),tc_prod(A,B),c_Relation_OId__on(tc_prod(A,B),hAPP(hAPP(c_Product__Type_OSigma(A,B),C),D))),hAPP(hAPP(c_Product__Type_OSigma(A,B),C),E)).
% 6.14/6.33    Following clause subsumed by 7724 during input processing: 0 [copy,11222,flip.1] {-} hAPP(hAPP(c_Product__Type_OSigma(A,B),hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,C)),D)),E)=hAPP(c_Relation_OImage(tc_prod(A,B),tc_prod(A,B),c_Relation_OId__on(tc_prod(A,B),hAPP(hAPP(c_Product__Type_OSigma(A,B),C),E))),hAPP(hAPP(c_Product__Type_OSigma(A,B),D),E)).
% 6.14/6.33    Following clause subsumed by 7727 during input processing: 0 [copy,11223,flip.1] {-} hAPP(hAPP(c_Product__Type_OSigma(A,B),C),hAPP(hAPP(c_COMBS(A,tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(B,tc_HOL_Obool),tc_fun(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool)),A),c_Groups_Ominus__class_Ominus(tc_fun(B,tc_HOL_Obool))),D)),E))=hAPP(c_Relation_OImage(tc_prod(A,B),tc_prod(A,B),c_Relation_OId__on(tc_prod(A,B),hAPP(hAPP(c_Product__Type_OSigma(A,B),C),D))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(A,B)),c_fNot),hAPP(hAPP(c_Product__Type_OSigma(A,B),C),E))).
% 6.14/6.33    Following clause subsumed by 7731 during input processing: 0 [copy,11226,flip.1] {-} hAPP(hAPP(c_Product__Type_OSigma(A,B),hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,C)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),D))),E)=hAPP(c_Relation_OImage(tc_prod(A,B),tc_prod(A,B),c_Relation_OId__on(tc_prod(A,B),hAPP(hAPP(c_Product__Type_OSigma(A,B),C),E))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(A,B)),c_fNot),hAPP(hAPP(c_Product__Type_OSigma(A,B),D),E))).
% 6.14/6.33    Following clause subsumed by 11212 during input processing: 0 [copy,11235,flip.1] {-} hAPP(c_COMBK(tc_HOL_Obool,tc_prod(A,B)),c_fFalse)=c_Nitpick_Oprod(A,B,C,hAPP(c_COMBK(tc_HOL_Obool,B),c_fFalse)).
% 6.14/6.33  11237 back subsumes 10500.
% 6.14/6.33  11238 back subsumes 10502.
% 6.14/6.33  11256 back subsumes 10569.
% 6.14/6.33    Following clause subsumed by 7778 during input processing: 0 [copy,11263,flip.1] {-} c_Product__Type_Oapfst(A,A,B,c_Fun_Oid(A))=c_Product__Type_Oapsnd(B,B,A,c_Fun_Oid(B)).
% 6.14/6.33    Following clause subsumed by 11584 during input processing: 0 [copy,11264,flip.1] {-} hAPP(c_Product__Type_Ointernal__split(A,B,tc_prod(A,B)),c_Product__Type_OPair(A,B))=c_Product__Type_Oapsnd(B,B,A,c_Fun_Oid(B)).
% 6.14/6.33    Following clause subsumed by 7784 during input processing: 0 [copy,11265,flip.1] {-} hAPP(c_Product__Type_Omap__pair(A,B,C,D,E,F),hAPP(hAPP(c_Product__Type_OPair(A,C),G),H))=hAPP(hAPP(c_Product__Type_OPair(B,D),hAPP(E,G)),hAPP(F,H)).
% 6.14/6.33    Following clause subsumed by 7787 during input processing: 0 [copy,11266,flip.1] {-} hAPP(c_Product__Type_Osnd(A,B),hAPP(c_Product__Type_Omap__pair(C,A,D,B,E,F),G))=hAPP(F,hAPP(c_Product__Type_Osnd(C,D),G)).
% 6.14/6.33    Following clause subsumed by 7788 during input processing: 0 [copy,11267,flip.1] {-} hAPP(c_Product__Type_Ofst(A,B),hAPP(c_Product__Type_Omap__pair(C,A,D,B,E,F),G))=hAPP(E,hAPP(c_Product__Type_Ofst(C,D),G)).
% 6.14/6.34    Following clause subsumed by 7789 during input processing: 0 [copy,11268,flip.1] {-} hAPP(c_Fun_Ocomp(tc_prod(A,B),A,tc_prod(C,D),c_Product__Type_Ofst(A,B)),c_Product__Type_Omap__pair(C,A,D,B,E,F))=hAPP(c_Fun_Ocomp(C,A,tc_prod(C,D),E),c_Product__Type_Ofst(C,D)).
% 6.14/6.34    Following clause subsumed by 7790 during input processing: 0 [copy,11269,flip.1] {-} hAPP(c_Fun_Ocomp(tc_prod(A,B),B,tc_prod(C,D),c_Product__Type_Osnd(A,B)),c_Product__Type_Omap__pair(C,A,D,B,E,F))=hAPP(c_Fun_Ocomp(D,B,tc_prod(C,D),F),c_Product__Type_Osnd(C,D)).
% 6.14/6.34    Following clause subsumed by 7793 during input processing: 0 [copy,11270,flip.1] {-} hAPP(c_Product__Type_Omap__pair(A,B,C,D,E,F),hAPP(c_Product__Type_Omap__pair(G,A,H,C,I,J),K))=hAPP(c_Product__Type_Omap__pair(G,B,H,D,hAPP(c_Fun_Ocomp(A,B,G,E),I),hAPP(c_Fun_Ocomp(C,D,H,F),J)),K).
% 6.14/6.34    Following clause subsumed by 7795 during input processing: 0 [copy,11271,flip.1] {-} c_Product__Type_Omap__pair(A,A,B,B,c_COMBI(A),c_COMBI(B))=c_Product__Type_Oapsnd(B,B,A,c_Fun_Oid(B)).
% 6.14/6.34    Following clause subsumed by 7796 during input processing: 0 [copy,11272,flip.1] {-} c_Product__Type_Oapsnd(A,B,C,D)=c_Product__Type_Omap__pair(C,C,A,B,c_Fun_Oid(C),D).
% 6.14/6.34  11272 back subsumes 7799.
% 6.14/6.34    Following clause subsumed by 7797 during input processing: 0 [copy,11273,flip.1] {-} c_Product__Type_Oapfst(A,B,C,D)=c_Product__Type_Omap__pair(A,B,C,C,D,c_Fun_Oid(C)).
% 6.14/6.34    Following clause subsumed by 7827 during input processing: 0 [copy,11274,flip.1] {-} c_Hilbert__Choice_OEps(tc_prod(A,B),c_Nitpick_Oprod(A,B,hAPP(c_fequal,C),hAPP(c_fequal,D)))=hAPP(hAPP(c_Product__Type_OPair(A,B),C),D).
% 6.14/6.34    Following clause subsumed by 7829 during input processing: 0 [copy,11275,flip.1] {-} hAPP(c_Hilbert__Choice_Oinv__into(A,B,C,D),E)=c_Hilbert__Choice_OEps(A,hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,C)),hAPP(hAPP(c_COMBC(A,B,tc_HOL_Obool),hAPP(hAPP(c_COMBB(B,tc_fun(B,tc_HOL_Obool),A),c_fequal),D)),E))).
% 6.14/6.34    Following clause subsumed by 11095 during input processing: 0 [copy,11276,flip.1] {-} hAPP(hAPP(A,hAPP(c_Product__Type_Ofst(B,C),hAPP(D,E))),hAPP(c_Product__Type_Osnd(B,C),hAPP(D,E)))=hAPP(hAPP(c_Product__Type_Ointernal__split(B,C,F),A),hAPP(D,E)).
% 6.14/6.34    Following clause subsumed by 7838 during input processing: 0 [copy,11277,flip.1] {-} hAPP(hAPP(c_Product__Type_Oscomp(A,B,C,D),hAPP(hAPP(c_Product__Type_Oscomp(A,E,F,tc_prod(B,C)),G),H)),I)=hAPP(hAPP(c_Product__Type_Oscomp(A,E,F,D),G),hAPP(hAPP(c_COMBC(E,tc_fun(B,tc_fun(C,D)),tc_fun(F,D)),hAPP(hAPP(c_COMBB(tc_fun(F,tc_prod(B,C)),tc_fun(tc_fun(B,tc_fun(C,D)),tc_fun(F,D)),E),c_Product__Type_Oscomp(F,B,C,D)),H)),I)).
% 6.14/6.34    Following clause subsumed by 7839 during input processing: 0 [copy,11278,flip.1] {-} hAPP(hAPP(c_Product__Type_Oscomp(A,B,A,C),hAPP(c_Product__Type_OPair(B,A),D)),E)=hAPP(E,D).
% 6.14/6.34    Following clause subsumed by 7940 during input processing: 0 [copy,11285,flip.1] {-} hAPP(c_Relation_Oconverse(A,B),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,tc_fun(tc_prod(A,B),tc_HOL_Obool)),D),E))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,tc_fun(tc_prod(B,A),tc_HOL_Obool)),D),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(A,B),tc_HOL_Obool),tc_fun(tc_prod(B,A),tc_HOL_Obool),C),c_Relation_Oconverse(A,B)),E)).
% 6.14/6.34    Following clause subsumed by 7941 during input processing: 0 [copy,11286,flip.1] {-} hAPP(c_Relation_Oconverse(A,B),hAPP(hAPP(c_Relation_Orel__comp(A,C,B),D),E))=hAPP(hAPP(c_Relation_Orel__comp(B,C,A),hAPP(c_Relation_Oconverse(C,B),E)),hAPP(c_Relation_Oconverse(A,C),D)).
% 6.14/6.34    Following clause subsumed by 7943 during input processing: 0 [copy,11287,flip.1] {-} hAPP(c_Relation_Oconverse(A,B),hAPP(hAPP(c_COMBS(tc_prod(A,B),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_prod(A,B)),c_fdisj),C)),D))=hAPP(hAPP(c_COMBS(tc_prod(B,A),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_prod(B,A)),c_fdisj),hAPP(c_Relation_Oconverse(A,B),C))),hAPP(c_Relation_Oconverse(A,B),D)).
% 6.14/6.34    Following clause subsumed by 7952 during input processing: 0 [copy,11288,flip.1] {-} hAPP(c_Relation_Oconverse(A,B),hAPP(c_Relation_OImage(tc_prod(A,B),tc_prod(A,B),c_Relation_OId__on(tc_prod(A,B),C)),D))=hAPP(c_Relation_OImage(tc_prod(B,A),tc_prod(B,A),c_Relation_OId__on(tc_prod(B,A),hAPP(c_Relation_Oconverse(A,B),C))),hAPP(c_Relation_Oconverse(A,B),D)).
% 6.14/6.34    Following clause subsumed by 7980 during input processing: 0 [copy,11289,flip.1] {-} hAPP(hAPP(c_Nat_Ocompow(tc_prod(A,A),tc_HOL_Obool),hAPP(c_Nat_OSuc,B)),C)=hAPP(hAPP(c_Relation_Orel__comp(A,A,A),C),hAPP(hAPP(c_Nat_Ocompow(tc_prod(A,A),tc_HOL_Obool),B),C)).
% 6.14/6.34    Following clause subsumed by 7981 during input processing: 0 [copy,11290,flip.1] {-} hAPP(hAPP(c_Nat_Ocompow(tc_prod(A,A),tc_HOL_Obool),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B),C)),D)=hAPP(hAPP(c_Relation_Orel__comp(A,A,A),hAPP(hAPP(c_Nat_Ocompow(tc_prod(A,A),tc_HOL_Obool),B),D)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(A,A),tc_HOL_Obool),C),D)).
% 6.14/6.34    Following clause subsumed by 7987 during input processing: 0 [copy,11291,flip.1] {-} hAPP(hAPP(c_Nat_Ocompow(A,A),hAPP(c_Nat_OSuc,B)),C)=hAPP(c_Fun_Ocomp(A,A,A,C),hAPP(hAPP(c_Nat_Ocompow(A,A),B),C)).
% 6.14/6.34    Following clause subsumed by 7988 during input processing: 0 [copy,11292,flip.1] {-} hAPP(hAPP(c_Nat_Ocompow(A,A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B),C)),D)=hAPP(c_Fun_Ocomp(A,A,A,hAPP(hAPP(c_Nat_Ocompow(A,A),B),D)),hAPP(hAPP(c_Nat_Ocompow(A,A),C),D)).
% 6.14/6.34    Following clause subsumed by 7990 during input processing: 0 [copy,11293,flip.1] {-} hAPP(hAPP(c_Nat_Ocompow(A,A),hAPP(c_Int_Onat,c_Int_OPls)),B)=c_Fun_Oid(A).
% 6.14/6.34    Following clause subsumed by 8020 during input processing: 0 [copy,11322,flip.1] {-} hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(B,tc_fun(A,tc_HOL_Obool)),C),D))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(B,tc_fun(A,tc_HOL_Obool)),C),hAPP(hAPP(c_COMBB(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool),B),c_Groups_Ouminus__class_Ouminus(tc_fun(A,tc_HOL_Obool))),D)).
% 6.14/6.34    Following clause subsumed by 8029 during input processing: 0 [copy,11323,flip.1] {-} hAPP(hAPP(c_COMBB(tc_fun(A,tc_HOL_Obool),tc_HOL_Obool,B),c_HOL_OAll(A)),hAPP(hAPP(c_COMBB(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool),B),hAPP(c_COMBS(A,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),A),c_fimplies),C))),D))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,tc_fun(B,tc_HOL_Obool)),C),hAPP(hAPP(c_COMBB(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool),A),c_Set_OCollect(B)),hAPP(c_COMBC(B,A,tc_HOL_Obool),D))).
% 6.14/6.34    Following clause subsumed by 11692 during input processing: 0 [copy,11324,flip.1] {-} hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,tc_fun(B,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),hAPP(c_fequal,C)))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),D)))),E)=hAPP(c_Relation_OImage(B,B,c_Relation_OId__on(B,hAPP(E,C))),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,tc_fun(B,tc_HOL_Obool)),D),E)).
% 6.14/6.34    Following clause subsumed by 8034 during input processing: 0 [copy,11325,flip.1] {-} hAPP(c_Set_Ovimage(A,B,C),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(D,tc_fun(B,tc_HOL_Obool)),E),F))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(D,tc_fun(A,tc_HOL_Obool)),E),hAPP(hAPP(c_COMBB(tc_fun(B,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool),D),c_Set_Ovimage(A,B,C)),F)).
% 6.14/6.34    Following clause subsumed by 11327 during input processing: 0 [copy,11326,flip.1] {-} hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),hAPP(c_fequal,B)))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(C,tc_fun(A,tc_HOL_Obool)),D),E))))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(C,tc_fun(A,tc_HOL_Obool)),D),hAPP(hAPP(c_COMBB(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool),C),hAPP(c_Set_Oinsert(A),B)),E)).
% 6.14/6.34    Following clause subsumed by 11326 during input processing: 0 [copy,11327,flip.1] {-} hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,tc_fun(B,tc_HOL_Obool)),C),hAPP(hAPP(c_COMBB(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool),A),hAPP(c_Set_Oinsert(B),D)),E))=hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,B),c_fNot),hAPP(c_Relation_OImage(B,B,c_Relation_OId__on(B,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,B),c_fNot),hAPP(c_fequal,D)))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,B),c_fNot),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,tc_fun(B,tc_HOL_Obool)),C),E)))).
% 6.14/6.34    Following clause subsumed by 8040 during input processing: 0 [copy,11328,flip.1] {-} hAPP(hAPP(c_COMBC(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool),tc_HOL_Obool),c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool))),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(B,tc_fun(A,tc_HOL_Obool)),C),D))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(B,tc_fun(tc_fun(A,tc_HOL_Obool),tc_HOL_Obool)),C),hAPP(hAPP(c_COMBB(tc_fun(A,tc_HOL_Obool),tc_fun(tc_fun(A,tc_HOL_Obool),tc_HOL_Obool),B),c_Set_OPow(A)),D)).
% 6.14/6.34    Following clause subsumed by 8042 during input processing: 0 [copy,11329,flip.1] {-} hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,tc_fun(B,tc_HOL_Obool)),C),hAPP(hAPP(c_COMBS(A,tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(B,tc_HOL_Obool),tc_fun(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool)),A),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(B,tc_HOL_Obool))),D)),E))=hAPP(c_Relation_OImage(B,B,c_Relation_OId__on(B,hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,tc_fun(B,tc_HOL_Obool)),C),D))),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,tc_fun(B,tc_HOL_Obool)),C),E)).
% 6.14/6.34    Following clause subsumed by 8059 during input processing: 0 [copy,11330,flip.1] {-} hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,tc_fun(B,tc_HOL_Obool)),hAPP(hAPP(c_COMBS(A,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),A),c_fdisj),C)),D)),E)=hAPP(c_Relation_OImage(B,B,c_Relation_OId__on(B,hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,tc_fun(B,tc_HOL_Obool)),C),E))),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,tc_fun(B,tc_HOL_Obool)),D),E)).
% 6.14/6.34    Following clause subsumed by 8060 during input processing: 0 [copy,11331,flip.1] {-} hAPP(c_Relation_Oconverse(A,B),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(C,tc_fun(tc_prod(A,B),tc_HOL_Obool)),D),E))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(C,tc_fun(tc_prod(B,A),tc_HOL_Obool)),D),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(A,B),tc_HOL_Obool),tc_fun(tc_prod(B,A),tc_HOL_Obool),C),c_Relation_Oconverse(A,B)),E)).
% 6.14/6.34    Following clause subsumed by 8070 during input processing: 0 [copy,11332,flip.1] {-} hAPP(hAPP(c_COMBS(A,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),A),c_fdisj),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(B,tc_fun(A,tc_HOL_Obool)),C),D))),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(E,tc_fun(A,tc_HOL_Obool)),F),G))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(B,tc_fun(A,tc_HOL_Obool)),C),hAPP(hAPP(c_COMBB(tc_fun(E,tc_fun(A,tc_HOL_Obool)),tc_fun(A,tc_HOL_Obool),B),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(E,tc_fun(A,tc_HOL_Obool)),F)),hAPP(hAPP(c_COMBC(B,tc_fun(E,tc_fun(A,tc_HOL_Obool)),tc_fun(E,tc_fun(A,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),tc_fun(tc_fun(E,tc_fun(A,tc_HOL_Obool)),tc_fun(E,tc_fun(A,tc_HOL_Obool))),B),c_COMBB(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool),E)),hAPP(hAPP(c_COMBB(tc_fun(A,tc_HOL_Obool),tc_fun(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),B),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool))),D))),G))).
% 6.14/6.34    Following clause subsumed by 8072 during input processing: 0 [copy,11333,flip.1] {-} hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,tc_fun(B,tc_HOL_Obool)),C),D)=hAPP(hAPP(c_COMBB(tc_fun(A,tc_HOL_Obool),tc_HOL_Obool,B),c_HOL_OAll(A)),hAPP(hAPP(c_COMBB(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool),B),hAPP(c_COMBS(A,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),A),c_fimplies),C))),hAPP(hAPP(c_COMBC(B,tc_fun(A,tc_fun(B,tc_HOL_Obool)),tc_fun(A,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(B,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(A,tc_fun(B,tc_HOL_Obool)),tc_fun(A,tc_HOL_Obool)),B),c_COMBB(tc_fun(B,tc_HOL_Obool),tc_HOL_Obool,A)),c_member(B))),D))).
% 6.14/6.34    Following clause subsumed by 8078 during input processing: 0 [copy,11334,flip.1] {-} hAPP(hAPP(c_COMBB(tc_fun(A,tc_HOL_Obool),tc_HOL_Obool,B),c_HOL_OAll(A)),C)=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,tc_fun(B,tc_HOL_Obool)),hAPP(c_COMBK(tc_HOL_Obool,A),c_fTrue)),hAPP(hAPP(c_COMBB(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool),A),c_Set_OCollect(B)),hAPP(c_COMBC(B,A,tc_HOL_Obool),C))).
% 6.14/6.34    Following clause subsumed by 8097 during input processing: 0 [copy,11335,flip.1] {-} hAPP(hAPP(c_COMBS(A,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),A),c_fdisj),B)),c_Complete__Lattice_OInf__class_OInf(tc_fun(A,tc_HOL_Obool),C))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),C),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool)),B)).
% 6.14/6.34    Following clause subsumed by 8112 during input processing: 0 [copy,11336,flip.1] {-} hAPP(c_Set_Oimage(A,B,C),c_Complete__Lattice_OSup__class_OSup(tc_fun(A,tc_HOL_Obool),D))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(A,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool)),D),c_Set_Oimage(A,B,C)).
% 6.14/6.34    Following clause subsumed by 8119 during input processing: 0 [copy,11337,flip.1] {-} hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,B)),c_Complete__Lattice_OSup__class_OSup(tc_fun(A,tc_HOL_Obool),C))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),C),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(A,tc_HOL_Obool)),B)).
% 6.14/6.34    Following clause subsumed by 8123 during input processing: 0 [copy,11338,flip.1] {-} hAPP(c_Set_Ovimage(A,B,C),c_Complete__Lattice_OSup__class_OSup(tc_fun(B,tc_HOL_Obool),D))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(B,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),D),c_Set_Ovimage(A,B,C)).
% 6.14/6.34    Following clause subsumed by 8155 during input processing: 0 [copy,11340,flip.1] {-} hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,tc_fun(B,tc_HOL_Obool)),C),hAPP(hAPP(c_COMBS(A,tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(B,tc_HOL_Obool),tc_fun(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool)),A),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(B,tc_HOL_Obool))),D)),E))=hAPP(c_Relation_OImage(B,B,c_Relation_OId__on(B,c_Complete__Lattice_OInf__class_OInf(tc_fun(B,tc_HOL_Obool),hAPP(c_Set_Oimage(A,tc_fun(B,tc_HOL_Obool),D),C)))),c_Complete__Lattice_OInf__class_OInf(tc_fun(B,tc_HOL_Obool),hAPP(c_Set_Oimage(A,tc_fun(B,tc_HOL_Obool),E),C))).
% 6.14/6.34    Following clause subsumed by 8159 during input processing: 0 [copy,11342,flip.1] {-} hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,tc_fun(B,tc_HOL_Obool)),C),hAPP(hAPP(c_COMBS(A,tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(B,tc_HOL_Obool),tc_fun(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool)),A),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(B,tc_HOL_Obool))),D)),E))=hAPP(hAPP(c_COMBS(B,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),B),c_fdisj),c_Complete__Lattice_OSup__class_OSup(tc_fun(B,tc_HOL_Obool),hAPP(c_Set_Oimage(A,tc_fun(B,tc_HOL_Obool),D),C)))),c_Complete__Lattice_OSup__class_OSup(tc_fun(B,tc_HOL_Obool),hAPP(c_Set_Oimage(A,tc_fun(B,tc_HOL_Obool),E),C))).
% 6.14/6.34    Following clause subsumed by 8189 during input processing: 0 [copy,11343,flip.1] {-} c_Option_Ooption_Ooption__rec(A,B,C,D,hAPP(c_Option_Ooption_OSome(B),E))=hAPP(D,E).
% 6.14/6.35    Following clause subsumed by 11814 during input processing: 0 [copy,11348,flip.1] {-} c_Smallcheck_Ofull__small__class_Ofull__small(tc_Int_Oint,A,B)=c_Smallcheck_Ofull__small_H(A,hAPP(c_Code__Numeral_Oint__of,B),hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_Odivmod__int(hAPP(c_Code__Numeral_Oint__of,B),c_Int_OMin))).
% 6.14/6.35    Following clause subsumed by 8228 during input processing: 0 [copy,11349,flip.1] {-} c_List_Ofoldr(A,B,C,hAPP(hAPP(c_List_Omap(D,A),E),F),G)=c_List_Ofoldr(D,B,hAPP(c_Fun_Ocomp(A,tc_fun(B,B),D,C),E),F,G).
% 6.14/6.35    Following clause subsumed by 8229 during input processing: 0 [copy,11350,flip.1] {-} hAPP(c_Fun_Ocomp(tc_List_Olist(A),tc_List_Olist(B),tc_List_Olist(C),hAPP(c_List_Omap(A,B),D)),hAPP(c_List_Omap(C,A),E))=hAPP(c_List_Omap(C,B),hAPP(c_Fun_Ocomp(A,B,C,D),E)).
% 6.14/6.35    Following clause subsumed by 8230 during input processing: 0 [copy,11351,flip.1] {-} hAPP(hAPP(c_List_Omap(A,B),C),hAPP(hAPP(c_List_Omap(D,A),E),F))=hAPP(hAPP(c_List_Omap(D,B),hAPP(c_Fun_Ocomp(A,B,D,C),E)),F).
% 6.14/6.35    Following clause subsumed by 8240 during input processing: 0 [copy,11355,flip.1] {-} c_Map_Omap__comp(A,B,C,D,E,F)=hAPP(c_Option_Ooption_Ooption__case(tc_Option_Ooption(B),A,c_Option_Ooption_ONone(B),D),hAPP(E,F)).
% 6.14/6.35    Following clause subsumed by 8244 during input processing: 0 [copy,11356,flip.1] {-} hAPP(hAPP(c_Option_Omap(A,B),C),c_Option_Ooption_ONone(A))=c_Option_Ooption_ONone(B).
% 6.14/6.35    Following clause subsumed by 8243 during input processing: 0 [copy,11357,flip.1] {-} hAPP(hAPP(c_Option_Omap(A,B),C),hAPP(c_Option_Ooption_OSome(A),D))=hAPP(c_Option_Ooption_OSome(B),hAPP(C,D)).
% 6.14/6.35    Following clause subsumed by 8253 during input processing: 0 [copy,11358,flip.1] {-} hAPP(c_Fun_Ocomp(tc_Option_Ooption(A),tc_Option_Ooption(B),tc_Option_Ooption(C),hAPP(c_Option_Omap(A,B),D)),hAPP(c_Option_Omap(C,A),E))=hAPP(c_Option_Omap(C,B),hAPP(c_Fun_Ocomp(A,B,C,D),E)).
% 6.14/6.35    Following clause subsumed by 8254 during input processing: 0 [copy,11359,flip.1] {-} hAPP(hAPP(c_Option_Omap(A,B),C),hAPP(hAPP(c_Option_Omap(D,A),E),F))=hAPP(hAPP(c_Option_Omap(D,B),hAPP(c_Fun_Ocomp(A,B,D,C),E)),F).
% 6.14/6.35    Following clause subsumed by 8255 during input processing: 0 [copy,11360,flip.1] {-} hAPP(c_Fun_Ocomp(tc_Option_Ooption(A),tc_Option_Ooption(B),C,hAPP(c_Option_Omap(A,B),D)),hAPP(hAPP(hAPP(c_Fun_Ofun__upd(C,tc_Option_Ooption(A)),E),F),hAPP(c_Option_Ooption_OSome(A),G)))=hAPP(hAPP(hAPP(c_Fun_Ofun__upd(C,tc_Option_Ooption(B)),hAPP(c_Fun_Ocomp(tc_Option_Ooption(A),tc_Option_Ooption(B),C,hAPP(c_Option_Omap(A,B),D)),E)),F),hAPP(c_Option_Ooption_OSome(B),hAPP(D,G))).
% 6.14/6.35    Following clause subsumed by 8256 during input processing: 0 [copy,11361,flip.1] {-} c_Map_Omap__comp(A,B,C,D,hAPP(c_COMBK(tc_Option_Ooption(A),C),c_Option_Ooption_ONone(A)),E)=c_Option_Ooption_ONone(B).
% 6.14/6.35    Following clause subsumed by 8262 during input processing: 0 [copy,11362,flip.1] {-} hAPP(c_Map_Omap__of(A,B),hAPP(hAPP(c_List_Omap(A,tc_prod(A,B)),hAPP(hAPP(c_COMBS(A,B,tc_prod(A,B)),c_Product__Type_OPair(A,B)),C)),D))=c_Map_Orestrict__map(A,B,hAPP(c_Fun_Ocomp(B,tc_Option_Ooption(B),A,c_Option_Ooption_OSome(B)),C),hAPP(c_List_Oset(A),D)).
% 6.14/6.35    Following clause subsumed by 8263 during input processing: 0 [copy,11363,flip.1] {-} hAPP(c_Map_Omap__of(A,B),hAPP(hAPP(c_List_Olist_OCons(tc_prod(A,B)),C),D))=hAPP(hAPP(hAPP(c_Fun_Ofun__upd(A,tc_Option_Ooption(B)),hAPP(c_Map_Omap__of(A,B),D)),hAPP(c_Product__Type_Ofst(A,B),C)),hAPP(c_Option_Ooption_OSome(B),hAPP(c_Product__Type_Osnd(A,B),C))).
% 6.14/6.35    Following clause subsumed by 8265 during input processing: 0 [copy,11364,flip.1] {-} hAPP(c_List_Oset(A),hAPP(hAPP(c_List_Omap(B,A),C),D))=hAPP(c_Set_Oimage(B,A,C),hAPP(c_List_Oset(B),D)).
% 6.14/6.35    Following clause subsumed by 8266 during input processing: 0 [copy,11365,flip.1] {-} hAPP(hAPP(c_List_Omap(A,B),C),hAPP(hAPP(c_List_Olist_OCons(A),D),E))=hAPP(hAPP(c_List_Olist_OCons(B),hAPP(C,D)),hAPP(hAPP(c_List_Omap(A,B),C),E)).
% 6.14/6.35    Following clause subsumed by 8268 during input processing: 0 [copy,11366,flip.1] {-} c_List_Ofoldr(A,B,C,hAPP(hAPP(c_List_Olist_OCons(A),D),E),F)=hAPP(hAPP(C,D),c_List_Ofoldr(A,B,C,E,F)).
% 6.14/6.35    Following clause subsumed by 11687 during input processing: 0 [copy,11367,flip.1] {-} hAPP(c_List_Oset(A),hAPP(hAPP(c_List_Olist_OCons(A),B),C))=hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),hAPP(c_fequal,B)))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),hAPP(c_List_Oset(A),C)))).
% 6.14/6.35    Following clause subsumed by 8296 during input processing: 0 [copy,11368,flip.1] {-} hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(A)),hAPP(hAPP(c_List_Omap(B,A),C),D))=hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(B)),D).
% 6.14/6.35    Following clause subsumed by 8317 during input processing: 0 [copy,11371,flip.1] {-} hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(A))),c_Enum_On__lists(A,B,C))=hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(A)),C)),B).
% 6.14/6.35    Following clause subsumed by 11726 during input processing: 0 [copy,11372,flip.1] {-} c_List_Olist_Olist__size(A,B,hAPP(hAPP(c_List_Olist_OCons(A),C),D))=hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(B,C)),c_List_Olist_Olist__size(A,B,D))).
% 6.14/6.35    Following clause subsumed by 8324 during input processing: 0 [copy,11373,flip.1] {-} c_List_Olist_Olist__size(A,B,hAPP(hAPP(c_List_Omap(C,A),D),E))=c_List_Olist_Olist__size(C,hAPP(c_Fun_Ocomp(A,tc_Nat_Onat,C,B),D),E).
% 6.14/6.35    Following clause subsumed by 10449 during input processing: 0 [copy,11380,flip.1] {-} c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Int_Oint,A,B)=c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Relation_OId__on(tc_prod(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_fequal,hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls))),hAPP(c_Int_Onat,c_Int_OPls)))))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),c_Relation_OId__on(tc_Nat_Onat,hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),hAPP(c_COMBK(tc_HOL_Obool,tc_Int_Oint),c_fFalse))))))))),B).
% 6.14/6.35    Following clause subsumed by 8350 during input processing: 0 [copy,11381,flip.1] {-} hAPP(hAPP(c_List_Ozip(A,A),B),B)=hAPP(hAPP(c_List_Omap(A,tc_prod(A,A)),hAPP(hAPP(c_COMBS(A,A,tc_prod(A,A)),c_Product__Type_OPair(A,A)),c_COMBI(A))),B).
% 6.14/6.35    Following clause subsumed by 8355 during input processing: 0 [copy,11384,flip.1] {-} hAPP(hAPP(c_List_Ozip(A,B),hAPP(hAPP(c_List_Olist_OCons(A),C),D)),hAPP(hAPP(c_List_Olist_OCons(B),E),F))=hAPP(hAPP(c_List_Olist_OCons(tc_prod(A,B)),hAPP(hAPP(c_Product__Type_OPair(A,B),C),E)),hAPP(hAPP(c_List_Ozip(A,B),D),F)).
% 6.14/6.35    Following clause subsumed by 8359 during input processing: 0 [copy,11387,flip.1] {-} hAPP(hAPP(c_List_Ozip(A,B),hAPP(hAPP(c_List_Omap(C,A),D),E)),hAPP(hAPP(c_List_Omap(F,B),G),H))=hAPP(hAPP(c_List_Omap(tc_prod(C,F),tc_prod(A,B)),c_Product__Type_Omap__pair(C,A,F,B,D,G)),hAPP(hAPP(c_List_Ozip(C,F),E),H)).
% 6.14/6.35    Following clause subsumed by 11578 during input processing: 0 [copy,11388,flip.1] {-} hAPP(hAPP(c_List_Ozip(A,B),hAPP(hAPP(c_List_Omap(C,A),D),E)),F)=hAPP(hAPP(c_List_Omap(tc_prod(C,B),tc_prod(A,B)),hAPP(c_Product__Type_Ointernal__split(C,B,tc_prod(A,B)),hAPP(hAPP(c_COMBB(A,tc_fun(B,tc_prod(A,B)),C),c_Product__Type_OPair(A,B)),D))),hAPP(hAPP(c_List_Ozip(C,B),E),F)).
% 6.14/6.35    Following clause subsumed by 11398 during input processing: 0 [copy,11397,flip.1] {-} c_List_Osublist(tc_prod(A,B),hAPP(hAPP(c_List_Ozip(A,B),C),D),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(c_Int_Onat,c_Int_OPls)),E))=hAPP(hAPP(c_List_Ozip(A,B),c_List_Osublist(A,C,hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(c_Int_Onat,c_Int_OPls)),E))),c_List_Osublist(B,D,hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(c_Int_Onat,c_Int_OPls)),E))).
% 6.14/6.35    Following clause subsumed by 11397 during input processing: 0 [copy,11398,flip.1] {-} hAPP(hAPP(c_List_Ozip(A,B),c_List_Osublist(A,C,hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(c_Int_Onat,c_Int_OPls)),D))),c_List_Osublist(B,E,hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(c_Int_Onat,c_Int_OPls)),D)))=c_List_Osublist(tc_prod(A,B),hAPP(hAPP(c_List_Ozip(A,B),C),E),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(c_Int_Onat,c_Int_OPls)),D)).
% 6.14/6.35    Following clause subsumed by 8407 during input processing: 0 [copy,11436,flip.1] {-} c_List_Osublist(A,c_List_Osublist(A,B,hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(c_Int_Onat,c_Int_OPls)),C)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(c_Int_Onat,c_Int_OPls)),D))=c_List_Osublist(A,B,hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(c_Int_Onat,c_Int_OPls)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_Nat_Onat),D),C))).
% 6.14/6.35    Following clause subsumed by 8432 during input processing: 0 [copy,11437,flip.1] {-} hAPP(hAPP(c_List_Olist__update(tc_prod(A,B),hAPP(hAPP(c_List_Ozip(A,B),C),D)),E),F)=hAPP(hAPP(c_List_Ozip(A,B),hAPP(hAPP(c_List_Olist__update(A,C),E),hAPP(c_Product__Type_Ofst(A,B),F))),hAPP(hAPP(c_List_Olist__update(B,D),E),hAPP(c_Product__Type_Osnd(A,B),F))).
% 6.14/6.35    Following clause subsumed by 8433 during input processing: 0 [copy,11438,flip.1] {-} hAPP(hAPP(c_List_Ozip(A,B),hAPP(hAPP(c_List_Olist__update(A,C),D),E)),hAPP(hAPP(c_List_Olist__update(B,F),D),G))=hAPP(hAPP(c_List_Olist__update(tc_prod(A,B),hAPP(hAPP(c_List_Ozip(A,B),C),F)),D),hAPP(hAPP(c_Product__Type_OPair(A,B),E),G)).
% 6.14/6.35    Following clause subsumed by 8436 during input processing: 0 [copy,11439,flip.1] {-} hAPP(hAPP(c_List_Olist__update(A,hAPP(hAPP(c_List_Olist_OCons(A),B),C)),D),E)=c_Nat_Onat_Onat__case(tc_List_Olist(A),hAPP(hAPP(c_List_Olist_OCons(A),E),C),hAPP(hAPP(c_COMBB(tc_List_Olist(A),tc_List_Olist(A),tc_Nat_Onat),hAPP(c_List_Olist_OCons(A),B)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,A,tc_List_Olist(A)),c_List_Olist__update(A,C)),E)),D).
% 6.14/6.35    Following clause subsumed by 8438 during input processing: 0 [copy,11440,flip.1] {-} hAPP(hAPP(c_List_Olist__update(A,hAPP(hAPP(c_List_Olist_OCons(A),B),C)),hAPP(c_Int_Onat,c_Int_OPls)),D)=hAPP(hAPP(c_List_Olist_OCons(A),D),C).
% 6.14/6.35    Following clause subsumed by 8446 during input processing: 0 [copy,11441,flip.1] {-} c_Map_Omap__upds(A,B,C,hAPP(hAPP(c_List_Olist_OCons(A),D),E),hAPP(hAPP(c_List_Olist_OCons(B),F),G))=c_Map_Omap__upds(A,B,hAPP(hAPP(hAPP(c_Fun_Ofun__upd(A,tc_Option_Ooption(B)),C),D),hAPP(c_Option_Ooption_OSome(B),F)),E,G).
% 6.14/6.35    Following clause subsumed by 8469 during input processing: 0 [copy,11443,flip.1] {-} hAPP(c_Code__Numeral_Onat__of,A)=c_Code__Numeral_Onat__of__aux(A,hAPP(c_Int_Onat,c_Int_OPls)).
% 6.14/6.35    Following clause subsumed by 11192 during input processing: 0 [copy,11444,flip.1] {-} hAPP(A,B)=c_Code__Numeral_Ocode__numeral_Ocode__numeral__case(C,D,A,hAPP(c_Code__Numeral_Oof__nat,hAPP(c_Nat_OSuc,hAPP(c_Code__Numeral_Onat__of,B)))).
% 6.14/6.35    Following clause subsumed by 8513 during input processing: 0 [copy,11454,flip.1] {-} c_List_Osublist(A,B,hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),hAPP(c_COMBK(tc_HOL_Obool,tc_Int_Oint),c_fFalse)))=c_List_Olist_ONil(A).
% 6.14/6.35    Following clause subsumed by 8507 during input processing: 0 [copy,11457,flip.1] {-} hAPP(hAPP(c_List_Ozip(A,B),C),c_List_Olist_ONil(B))=c_List_Olist_ONil(tc_prod(A,B)).
% 6.14/6.35    Following clause subsumed by 8508 during input processing: 0 [copy,11458,flip.1] {-} hAPP(hAPP(c_List_Ozip(A,B),c_List_Olist_ONil(A)),C)=c_List_Olist_ONil(tc_prod(A,B)).
% 6.14/6.35    Following clause subsumed by 8518 during input processing: 0 [copy,11459,flip.1] {-} hAPP(hAPP(c_Map_Omap__of(A,B),c_List_Olist_ONil(tc_prod(A,B))),C)=c_Option_Ooption_ONone(B).
% 6.14/6.35    Following clause subsumed by 8519 during input processing: 0 [copy,11460,flip.1] {-} c_Enum_Oproduct(A,B,c_List_Olist_ONil(A),C)=c_List_Olist_ONil(tc_prod(A,B)).
% 6.14/6.35    Following clause subsumed by 8528 during input processing: 0 [copy,11461,flip.1] {-} hAPP(hAPP(c_List_Omap(A,B),C),c_List_Olist_ONil(A))=c_List_Olist_ONil(B).
% 6.14/6.35    Following clause subsumed by 8541 during input processing: 0 [copy,11463,flip.1] {-} c_List_Osublist(A,hAPP(hAPP(c_List_Olist_OCons(A),B),C),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(c_Int_Onat,c_Int_OPls)),D))=c_Nat_Onat_Onat__case(tc_List_Olist(A),c_List_Olist_ONil(A),hAPP(hAPP(c_COMBB(tc_List_Olist(A),tc_List_Olist(A),tc_Nat_Onat),hAPP(c_List_Olist_OCons(A),B)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_List_Olist(A),tc_List_Olist(A)),c_List_Otake(A)),C)),D).
% 6.14/6.35    Following clause subsumed by 8562 during input processing: 0 [copy,11464,flip.1] {-} hAPP(hAPP(c_List_Ozip(A,B),C),hAPP(hAPP(c_List_Olist_OCons(B),D),E))=hAPP(c_List_Olist_Olist__case(tc_List_Olist(tc_prod(A,B)),A,c_List_Olist_ONil(tc_prod(A,B)),hAPP(hAPP(c_COMBC(A,tc_fun(tc_List_Olist(A),tc_List_Olist(tc_prod(A,B))),tc_fun(tc_List_Olist(A),tc_List_Olist(tc_prod(A,B)))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(tc_prod(A,B)),tc_List_Olist(tc_prod(A,B))),tc_fun(tc_fun(tc_List_Olist(A),tc_List_Olist(tc_prod(A,B))),tc_fun(tc_List_Olist(A),tc_List_Olist(tc_prod(A,B)))),A),c_COMBB(tc_List_Olist(tc_prod(A,B)),tc_List_Olist(tc_prod(A,B)),tc_List_Olist(A))),hAPP(hAPP(c_COMBB(tc_prod(A,B),tc_fun(tc_List_Olist(tc_prod(A,B)),tc_List_Olist(tc_prod(A,B))),A),c_List_Olist_OCons(tc_prod(A,B))),hAPP(hAPP(c_COMBC(A,B,tc_prod(A,B)),c_Product__Type_OPair(A,B)),D)))),hAPP(hAPP(c_COMBC(tc_List_Olist(A),tc_List_Olist(B),tc_List_Olist(tc_prod(A,B))),c_List_Ozip(A,B)),E))),C).
% 6.14/6.35    Following clause subsumed by 8563 during input processing: 0 [copy,11465,flip.1] {-} hAPP(c_List_Olist_Olist__case(A,B,C,D),hAPP(hAPP(c_List_Olist_OCons(B),E),F))=hAPP(hAPP(D,E),F).
% 6.14/6.35    Following clause subsumed by 8575 during input processing: 0 [copy,11466,flip.1] {-} hAPP(hAPP(c_List_Omap(A,B),C),hAPP(hAPP(c_List_Oappend(A),D),E))=hAPP(hAPP(c_List_Oappend(B),hAPP(hAPP(c_List_Omap(A,B),C),D)),hAPP(hAPP(c_List_Omap(A,B),C),E)).
% 6.14/6.35    Following clause subsumed by 8590 during input processing: 0 [copy,11471,flip.1] {-} c_Enum_Osublists(A,hAPP(hAPP(c_List_Olist_OCons(A),B),C))=hAPP(hAPP(c_HOL_OLet(tc_List_Olist(tc_List_Olist(A)),tc_List_Olist(tc_List_Olist(A))),c_Enum_Osublists(A,C)),hAPP(hAPP(c_COMBS(tc_List_Olist(tc_List_Olist(A)),tc_List_Olist(tc_List_Olist(A)),tc_List_Olist(tc_List_Olist(A))),hAPP(hAPP(c_COMBB(tc_List_Olist(tc_List_Olist(A)),tc_fun(tc_List_Olist(tc_List_Olist(A)),tc_List_Olist(tc_List_Olist(A))),tc_List_Olist(tc_List_Olist(A))),c_List_Oappend(tc_List_Olist(A))),hAPP(c_List_Omap(tc_List_Olist(A),tc_List_Olist(A)),hAPP(c_List_Olist_OCons(A),B)))),c_COMBI(tc_List_Olist(tc_List_Olist(A))))).
% 6.14/6.35    Following clause subsumed by 8598 during input processing: 0 [copy,11472,flip.1] {-} hAPP(hAPP(c_List_Olist__update(A,hAPP(hAPP(c_List_Oappend(A),B),hAPP(hAPP(c_List_Olist_OCons(A),C),D))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(A)),B)),E)=hAPP(hAPP(c_List_Oappend(A),B),hAPP(hAPP(c_List_Olist_OCons(A),E),D)).
% 6.14/6.35    Following clause subsumed by 8603 during input processing: 0 [copy,11473,flip.1] {-} c_Enum_Oproduct(A,B,hAPP(hAPP(c_List_Olist_OCons(A),C),D),E)=hAPP(hAPP(c_List_Oappend(tc_prod(A,B)),hAPP(hAPP(c_List_Omap(B,tc_prod(A,B)),hAPP(c_Product__Type_OPair(A,B),C)),E)),c_Enum_Oproduct(A,B,D,E)).
% 6.14/6.35    Following clause subsumed by 8616 during input processing: 0 [copy,11474,flip.1] {-} hAPP(hAPP(c_List_Odrop(A),B),hAPP(hAPP(c_List_Omap(C,A),D),E))=hAPP(hAPP(c_List_Omap(C,A),D),hAPP(hAPP(c_List_Odrop(C),B),E)).
% 6.14/6.35    Following clause subsumed by 8633 during input processing: 0 [copy,11475,flip.1] {-} hAPP(hAPP(c_List_Odrop(tc_prod(A,B)),C),hAPP(hAPP(c_List_Ozip(A,B),D),E))=hAPP(hAPP(c_List_Ozip(A,B),hAPP(hAPP(c_List_Odrop(A),C),D)),hAPP(hAPP(c_List_Odrop(B),C),E)).
% 6.14/6.35    Following clause subsumed by 8648 during input processing: 0 [copy,11476,flip.1] {-} hAPP(hAPP(c_List_Odrop(A),B),hAPP(hAPP(c_List_Olist_OCons(A),C),D))=c_Nat_Onat_Onat__case(tc_List_Olist(A),hAPP(hAPP(c_List_Olist_OCons(A),C),D),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_List_Olist(A),tc_List_Olist(A)),c_List_Odrop(A)),D),B).
% 6.14/6.35    Following clause subsumed by 11529 during input processing: 0 [copy,11477,flip.1] {-} hAPP(c_List_Orotate1(A),hAPP(hAPP(c_List_Olist_OCons(A),B),C))=hAPP(hAPP(c_List_Oappend(A),C),c_List_Oinsert(A,B,c_List_Olist_ONil(A))).
% 6.14/6.35    Following clause subsumed by 8658 during input processing: 0 [copy,11478,flip.1] {-} hAPP(hAPP(c_List_Ozip(A,B),hAPP(hAPP(c_List_Oappend(A),C),D)),E)=hAPP(hAPP(c_List_Oappend(tc_prod(A,B)),hAPP(hAPP(c_List_Ozip(A,B),C),c_List_Osublist(B,E,hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(c_Int_Onat,c_Int_OPls)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(A)),C))))),hAPP(hAPP(c_List_Ozip(A,B),D),hAPP(hAPP(c_List_Odrop(B),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(A)),C)),E))).
% 6.14/6.35    Following clause subsumed by 8671 during input processing: 0 [copy,11479,flip.1] {-} hAPP(hAPP(c_List_Odrop(A),hAPP(c_Nat_OSuc,B)),C)=hAPP(hAPP(c_List_Odrop(A),B),hAPP(c_List_Otl(A),C)).
% 6.14/6.35    Following clause subsumed by 8674 during input processing: 0 [copy,11480,flip.1] {-} hAPP(hAPP(c_List_Omap(A,B),C),hAPP(c_List_Otl(A),D))=hAPP(c_List_Otl(B),hAPP(hAPP(c_List_Omap(A,B),C),D)).
% 6.14/6.35    Following clause subsumed by 8675 during input processing: 0 [copy,11481,flip.1] {-} hAPP(c_List_Orotate(A,B),hAPP(hAPP(c_List_Omap(C,A),D),E))=hAPP(hAPP(c_List_Omap(C,A),D),hAPP(c_List_Orotate(C,B),E)).
% 6.14/6.35    Following clause subsumed by 8696 during input processing: 0 [copy,11482,flip.1] {-} hAPP(c_List_Orotate1(A),hAPP(c_List_Orotate(A,B),C))=hAPP(c_List_Orotate(A,B),hAPP(c_List_Orotate1(A),C)).
% 6.14/6.35    Following clause subsumed by 8697 during input processing: 0 [copy,11483,flip.1] {-} hAPP(c_List_Orotate(A,hAPP(c_Nat_OSuc,B)),C)=hAPP(c_List_Orotate1(A),hAPP(c_List_Orotate(A,B),C)).
% 6.14/6.35    Following clause subsumed by 8698 during input processing: 0 [copy,11484,flip.1] {-} hAPP(c_List_Otl(A),hAPP(hAPP(c_List_Oappend(A),B),C))=hAPP(c_List_Olist_Olist__case(tc_List_Olist(A),A,hAPP(c_List_Otl(A),C),hAPP(c_COMBK(tc_fun(tc_List_Olist(A),tc_List_Olist(A)),A),hAPP(hAPP(c_COMBC(tc_List_Olist(A),tc_List_Olist(A),tc_List_Olist(A)),c_List_Oappend(A)),C))),B).
% 6.14/6.35    Following clause subsumed by 8702 during input processing: 0 [copy,11489,flip.1] {-} c_List_Orotate(A,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B),C))=hAPP(c_Fun_Ocomp(tc_List_Olist(A),tc_List_Olist(A),tc_List_Olist(A),c_List_Orotate(A,B)),c_List_Orotate(A,C)).
% 6.14/6.35    Following clause subsumed by 8714 during input processing: 0 [copy,11490,flip.1] {-} hAPP(c_List_Ofoldl(A,B,C,D),hAPP(hAPP(c_List_Olist_OCons(B),E),F))=hAPP(c_List_Ofoldl(A,B,C,hAPP(hAPP(C,D),E)),F).
% 6.14/6.35    Following clause subsumed by 8717 during input processing: 0 [copy,11491,flip.1] {-} hAPP(c_List_Ofoldl(A,B,C,D),hAPP(hAPP(c_List_Omap(E,B),F),G))=hAPP(c_List_Ofoldl(A,E,hAPP(hAPP(c_COMBC(A,tc_fun(E,B),tc_fun(E,A)),hAPP(hAPP(c_COMBB(tc_fun(B,A),tc_fun(tc_fun(E,B),tc_fun(E,A)),A),c_COMBB(B,A,E)),C)),F),D),G).
% 6.14/6.35    Following clause subsumed by 8718 during input processing: 0 [copy,11492,flip.1] {-} hAPP(c_List_Ofoldl(A,B,C,D),hAPP(hAPP(c_List_Oappend(B),E),F))=hAPP(c_List_Ofoldl(A,B,C,hAPP(c_List_Ofoldl(A,B,C,D),E)),F).
% 6.14/6.35    Following clause subsumed by 8773 during input processing: 0 [copy,11494,flip.1] {-} hAPP(c_List_Ofilter(A,B),hAPP(hAPP(c_List_Omap(C,A),D),E))=hAPP(hAPP(c_List_Omap(C,A),D),hAPP(c_List_Ofilter(C,hAPP(c_Fun_Ocomp(A,tc_HOL_Obool,C,B),D)),E)).
% 6.14/6.35    Following clause subsumed by 8789 during input processing: 0 [copy,11495,flip.1] {-} hAPP(c_List_Oset(A),hAPP(c_List_Ofilter(A,B),C))=hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,hAPP(c_List_Oset(A),C))),B).
% 6.14/6.35    Following clause subsumed by 8790 during input processing: 0 [copy,11496,flip.1] {-} hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(A)),hAPP(c_List_Ofilter(A,B),hAPP(hAPP(c_List_Omap(C,A),D),E)))=hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(C)),hAPP(c_List_Ofilter(C,hAPP(c_Fun_Ocomp(A,tc_HOL_Obool,C,B),D)),E)).
% 6.14/6.35    Following clause subsumed by 11520 during input processing: 0 [copy,11497,flip.1] {-} hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,hAPP(c_List_Oset(A),B))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),hAPP(c_fequal,C)))=hAPP(c_List_Oset(A),hAPP(c_List_OremoveAll(A,C),B)).
% 6.14/6.35    Following clause subsumed by 8807 during input processing: 0 [copy,11498,flip.1] {-} hAPP(c_List_Ofoldl(tc_List_Olist(A),tc_List_Olist(A),c_List_Oappend(A),B),C)=hAPP(hAPP(c_List_Oappend(A),B),c_List_Oconcat(A,C)).
% 6.14/6.35    Following clause subsumed by 8816 during input processing: 0 [copy,11499,flip.1] {-} c_List_Omap__filter(A,B,C,c_List_Olist_ONil(A))=c_List_Olist_ONil(B).
% 6.14/6.35    Following clause subsumed by 8824 during input processing: 0 [copy,11500,flip.1] {-} c_List_Omap__filter(A,B,C,hAPP(hAPP(c_List_Olist_OCons(A),D),E))=hAPP(c_Option_Ooption_Ooption__case(tc_List_Olist(B),B,c_List_Omap__filter(A,B,C,E),hAPP(hAPP(c_COMBC(B,tc_List_Olist(B),tc_List_Olist(B)),c_List_Olist_OCons(B)),c_List_Omap__filter(A,B,C,E))),hAPP(C,D)).
% 6.14/6.35    Following clause subsumed by 8830 during input processing: 0 [copy,11501,flip.1] {-} hAPP(hAPP(c_List_Omap(tc_prod(A,tc_Nat_Onat),A),c_Product__Type_Ofst(A,tc_Nat_Onat)),hAPP(c_List_Ofilter(tc_prod(A,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_prod(A,tc_Nat_Onat)),B),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_prod(A,tc_Nat_Onat)),c_Nat_OSuc),c_Product__Type_Osnd(A,tc_Nat_Onat)))),hAPP(hAPP(c_List_Ozip(A,tc_Nat_Onat),C),D)))=hAPP(hAPP(c_List_Omap(tc_prod(A,tc_Nat_Onat),A),c_Product__Type_Ofst(A,tc_Nat_Onat)),hAPP(c_List_Ofilter(tc_prod(A,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_prod(A,tc_Nat_Onat)),B),c_Product__Type_Osnd(A,tc_Nat_Onat))),hAPP(hAPP(c_List_Ozip(A,tc_Nat_Onat),C),hAPP(hAPP(c_List_Omap(tc_Nat_Onat,tc_Nat_Onat),c_Nat_OSuc),D)))).
% 6.14/6.35    Following clause subsumed by 8846 during input processing: 0 [copy,11503,flip.1] {-} hAPP(hAPP(c_List_Omap(A,B),C),hAPP(c_List_Ofilter(A,D),E))=c_List_Omap__filter(A,B,hAPP(hAPP(c_COMBC(A,tc_Option_Ooption(B),tc_Option_Ooption(B)),hAPP(hAPP(c_COMBS(A,tc_Option_Ooption(B),tc_fun(tc_Option_Ooption(B),tc_Option_Ooption(B))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_Option_Ooption(B),tc_fun(tc_Option_Ooption(B),tc_Option_Ooption(B))),A),c_If(tc_Option_Ooption(B))),D)),hAPP(hAPP(c_COMBB(B,tc_Option_Ooption(B),A),c_Option_Ooption_OSome(B)),C))),c_Option_Ooption_ONone(B)),E).
% 6.14/6.35    Following clause subsumed by 8851 during input processing: 0 [copy,11504,flip.1] {-} hAPP(hAPP(c_List_Omap(tc_prod(A,tc_Nat_Onat),A),c_Product__Type_Ofst(A,tc_Nat_Onat)),hAPP(c_List_Ofilter(tc_prod(A,tc_Nat_Onat),hAPP(c_Set_Ovimage(tc_prod(A,tc_Nat_Onat),tc_Nat_Onat,c_Product__Type_Osnd(A,tc_Nat_Onat)),B)),hAPP(hAPP(c_List_Ozip(A,tc_Nat_Onat),C),c_List_Oupt(D,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),D),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(A)),C))))))=hAPP(hAPP(c_List_Omap(tc_prod(A,tc_Nat_Onat),A),c_Product__Type_Ofst(A,tc_Nat_Onat)),hAPP(c_List_Ofilter(tc_prod(A,tc_Nat_Onat),hAPP(c_Set_Ovimage(tc_prod(A,tc_Nat_Onat),tc_Nat_Onat,hAPP(hAPP(c_COMBC(tc_prod(A,tc_Nat_Onat),tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_prod(A,tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_Product__Type_Osnd(A,tc_Nat_Onat))),D)),B)),hAPP(hAPP(c_List_Ozip(A,tc_Nat_Onat),C),c_List_Oupt(hAPP(c_Int_Onat,c_Int_OPls),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(A)),C))))).
% 6.14/6.36    Following clause subsumed by 8854 during input processing: 0 [copy,11505,flip.1] {-} hAPP(hAPP(c_List_Odrop(tc_Nat_Onat),A),c_List_Oupt(B,C))=c_List_Oupt(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B),A),C).
% 6.14/6.36    Following clause subsumed by 8857 during input processing: 0 [copy,11506,flip.1] {-} c_List_Oupt(A,hAPP(c_Int_Onat,c_Int_OPls))=c_List_Olist_ONil(tc_Nat_Onat).
% 6.14/6.36    Following clause subsumed by 8909 during input processing: 0 [copy,11508,flip.1] {-} c_List_Oembed__list(A)=hAPP(hAPP(c_List_Omap(tc_Nat_Onat,tc_Int_Oint),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),A).
% 6.14/6.36    Following clause subsumed by 8923 during input processing: 0 [copy,11509,flip.1] {-} hAPP(c_Product__Type_Ofst(tc_List_Olist(A),tc_List_Olist(A)),c_List_Opartition(A,B,C))=hAPP(c_List_Ofilter(A,B),C).
% 6.14/6.36    Following clause subsumed by 8926 during input processing: 0 [copy,11510,flip.1] {-} c_List_Opartition(A,B,c_List_Olist_ONil(A))=hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(A),tc_List_Olist(A)),c_List_Olist_ONil(A)),c_List_Olist_ONil(A)).
% 6.14/6.36    Following clause subsumed by 8930 during input processing: 0 [copy,11511,flip.1] {-} hAPP(c_Product__Type_Osnd(tc_List_Olist(A),tc_List_Olist(A)),c_List_Opartition(A,B,C))=hAPP(c_List_Ofilter(A,hAPP(c_Fun_Ocomp(tc_HOL_Obool,tc_HOL_Obool,A,c_fNot),B)),C).
% 6.14/6.36    Following clause subsumed by 8945 during input processing: 0 [copy,11512,flip.1] {-} hAPP(c_List_Ofoldl(A,B,C,D),E)=c_List_Ofoldr(B,A,hAPP(c_COMBC(A,B,A),C),hAPP(c_List_Orev(B),E),D).
% 6.14/6.36    Following clause subsumed by 8949 during input processing: 0 [copy,11513,flip.1] {-} hAPP(c_List_Orev(A),hAPP(hAPP(c_List_Oappend(A),B),C))=hAPP(hAPP(c_List_Oappend(A),hAPP(c_List_Orev(A),C)),hAPP(c_List_Orev(A),B)).
% 6.14/6.36    Following clause subsumed by 11522 during input processing: 0 [copy,11514,flip.1] {-} hAPP(c_List_Orev(A),hAPP(hAPP(c_List_Olist_OCons(A),B),C))=hAPP(hAPP(c_List_Oappend(A),hAPP(c_List_Orev(A),C)),c_List_Oinsert(A,B,c_List_Olist_ONil(A))).
% 6.14/6.36    Following clause subsumed by 8959 during input processing: 0 [copy,11515,flip.1] {-} hAPP(c_List_Orev(A),hAPP(c_List_Ofilter(A,B),C))=hAPP(c_List_Ofilter(A,B),hAPP(c_List_Orev(A),C)).
% 6.14/6.36    Following clause subsumed by 8960 during input processing: 0 [copy,11516,flip.1] {-} hAPP(c_List_Orev(A),hAPP(hAPP(c_List_Omap(B,A),C),D))=hAPP(hAPP(c_List_Omap(B,A),C),hAPP(c_List_Orev(B),D)).
% 6.14/6.36    Following clause subsumed by 8990 during input processing: 0 [copy,11518,flip.1] {-} hAPP(hAPP(c_List_Ozip(A,B),c_List_OtakeWhile(A,C,D)),E)=c_List_OtakeWhile(tc_prod(A,B),hAPP(c_Fun_Ocomp(A,tc_HOL_Obool,tc_prod(A,B),C),c_Product__Type_Ofst(A,B)),hAPP(hAPP(c_List_Ozip(A,B),D),E)).
% 6.14/6.36    Following clause subsumed by 8991 during input processing: 0 [copy,11519,flip.1] {-} hAPP(hAPP(c_List_Ozip(A,B),C),c_List_OtakeWhile(B,D,E))=c_List_OtakeWhile(tc_prod(A,B),hAPP(c_Fun_Ocomp(B,tc_HOL_Obool,tc_prod(A,B),D),c_Product__Type_Osnd(A,B)),hAPP(hAPP(c_List_Ozip(A,B),C),E)).
% 6.14/6.36    Following clause subsumed by 11497 during input processing: 0 [copy,11520,flip.1] {-} hAPP(c_List_Oset(A),hAPP(c_List_OremoveAll(A,B),C))=hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,hAPP(c_List_Oset(A),C))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),hAPP(c_fequal,B))).
% 6.14/6.36    Following clause subsumed by 11681 during input processing: 0 [copy,11521,flip.1] {-} hAPP(c_List_Oset(A),c_List_Oinsert(A,B,C))=hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),hAPP(c_fequal,B)))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),hAPP(c_List_Oset(A),C)))).
% 6.14/6.36    Following clause subsumed by 11514 during input processing: 0 [copy,11522,flip.1] {-} hAPP(hAPP(c_List_Oappend(A),hAPP(c_List_Orev(A),B)),c_List_Oinsert(A,C,c_List_Olist_ONil(A)))=hAPP(c_List_Orev(A),hAPP(hAPP(c_List_Olist_OCons(A),C),B)).
% 6.14/6.36    Following clause subsumed by 11477 during input processing: 0 [copy,11529,flip.1] {-} hAPP(hAPP(c_List_Oappend(A),B),c_List_Oinsert(A,C,c_List_Olist_ONil(A)))=hAPP(c_List_Orotate1(A),hAPP(hAPP(c_List_Olist_OCons(A),C),B)).
% 6.14/6.36    Following clause subsumed by 9046 during input processing: 0 [copy,11565,flip.1] {-} c_List_Omaps(A,B,C,c_List_Olist_ONil(A))=c_List_Olist_ONil(B).
% 6.14/6.36    Following clause subsumed by 9047 during input processing: 0 [copy,11566,flip.1] {-} c_List_Omaps(A,B,C,hAPP(hAPP(c_List_Olist_OCons(A),D),E))=hAPP(hAPP(c_List_Oappend(B),hAPP(C,D)),c_List_Omaps(A,B,C,E)).
% 6.14/6.36    Following clause subsumed by 11388 during input processing: 0 [copy,11578,flip.1] {-} hAPP(hAPP(c_List_Omap(tc_prod(A,B),tc_prod(C,B)),hAPP(c_Product__Type_Ointernal__split(A,B,tc_prod(C,B)),hAPP(hAPP(c_COMBB(C,tc_fun(B,tc_prod(C,B)),A),c_Product__Type_OPair(C,B)),D))),hAPP(hAPP(c_List_Ozip(A,B),E),F))=hAPP(hAPP(c_List_Ozip(C,B),hAPP(hAPP(c_List_Omap(A,C),D),E)),F).
% 6.14/6.36    Following clause subsumed by 11264 during input processing: 0 [copy,11584,flip.1] {-} c_Product__Type_Oapsnd(A,A,B,c_Fun_Oid(A))=hAPP(c_Product__Type_Ointernal__split(B,A,tc_prod(B,A)),c_Product__Type_OPair(B,A)).
% 6.14/6.36    Following clause subsumed by 11118 during input processing: 0 [copy,11594,flip.1] {-} hAPP(hAPP(A,hAPP(B,hAPP(c_Product__Type_Ofst(C,D),E))),hAPP(c_Product__Type_Osnd(C,D),E))=hAPP(hAPP(c_Product__Type_Ointernal__split(C,D,F),hAPP(c_Fun_Ocomp(G,tc_fun(D,F),C,A),B)),E).
% 6.14/6.36    Following clause subsumed by 11095 during input processing: 0 [copy,11597,flip.1] {-} hAPP(hAPP(A,hAPP(c_Product__Type_Ofst(B,C),D)),hAPP(c_Product__Type_Osnd(B,C),D))=hAPP(hAPP(c_Product__Type_Ointernal__split(B,C,E),A),D).
% 6.14/6.36  11597 back subsumes 11276.
% 6.14/6.36    Following clause subsumed by 11082 during input processing: 0 [copy,11609,flip.1] {-} hAPP(c_Product__Type_Ointernal__split(tc_Int_Oint,tc_Int_Oint,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_HOL_Obool),tc_fun(tc_Int_Oint,tc_HOL_Obool),tc_Int_Oint),hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),A)))),c_Orderings_Oord__class_Oless(tc_Int_Oint)))=c_Int_Oint__ge__less__than2(A).
% 6.14/6.36    Following clause subsumed by 11081 during input processing: 0 [copy,11610,flip.1] {-} hAPP(c_Product__Type_Ointernal__split(tc_Int_Oint,tc_Int_Oint,tc_HOL_Obool),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_HOL_Obool),tc_fun(tc_Int_Oint,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(tc_Int_Oint,tc_HOL_Obool),tc_fun(tc_Int_Oint,tc_HOL_Obool)),tc_Int_Oint),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),A)))),c_Orderings_Oord__class_Oless(tc_Int_Oint)))=c_Int_Oint__ge__less__than(A).
% 6.14/6.36    Following clause subsumed by 9108 during input processing: 0 [copy,11627,flip.1] {-} hAPP(c_New__DSequence_Oneg__bind(A,B,C,D),E)=c_Lazy__Sequence_Ohb__bind(A,B,hAPP(C,E),hAPP(hAPP(c_COMBC(A,tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(B))),D),E)).
% 6.14/6.36    Following clause subsumed by 9110 during input processing: 0 [copy,11628,flip.1] {-} hAPP(hAPP(hAPP(c_New__Random__Sequence_Oneg__bind(A,B,C,D),E),F),G)=c_New__DSequence_Oneg__bind(A,B,hAPP(hAPP(hAPP(C,E),F),G),hAPP(hAPP(c_COMBC(A,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(B)))),hAPP(hAPP(c_COMBC(A,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(B))))),hAPP(hAPP(c_COMBC(A,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(B)))))),D),E)),F)),G)).
% 6.14/6.36    Following clause subsumed by 11725 during input processing: 0 [copy,11629,flip.1] {-} hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(A,B),c_Lazy__Sequence_Olazy__sequence_OInsert(A,C,D))=hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(B,C)),hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(A,B),D))).
% 6.14/6.36    Following clause subsumed by 9125 during input processing: 0 [copy,11630,flip.1] {-} c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case(A,B,C,D,c_Lazy__Sequence_Olazy__sequence_OInsert(B,E,F))=hAPP(hAPP(D,E),F).
% 6.14/6.36    Following clause subsumed by 9131 during input processing: 0 [copy,11633,flip.1] {-} c_New__Random__Sequence_Oneg__map(A,B,C,D)=c_New__Random__Sequence_Oneg__bind(A,B,D,hAPP(c_Fun_Ocomp(B,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(B)))))),A,c_New__Random__Sequence_Oneg__single(B)),C)).
% 6.14/6.36    Following clause subsumed by 9143 during input processing: 0 [copy,11634,flip.1] {-} c_New__Random__Sequence_Opos__empty(A,B,C,D)=c_New__DSequence_Opos__empty(A).
% 6.14/6.36    Following clause subsumed by 9144 during input processing: 0 [copy,11635,flip.1] {-} hAPP(c_New__DSequence_Opos__bind(A,B,C,D),E)=c_Lazy__Sequence_Obind(A,B,hAPP(C,E),hAPP(hAPP(c_COMBC(A,tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(B)),D),E)).
% 6.14/6.36    Following clause subsumed by 9145 during input processing: 0 [copy,11636,flip.1] {-} hAPP(hAPP(hAPP(c_New__Random__Sequence_Opos__bind(A,B,C,D),E),F),G)=c_New__DSequence_Opos__bind(A,B,hAPP(hAPP(hAPP(C,E),F),G),hAPP(hAPP(c_COMBC(A,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(B))),hAPP(hAPP(c_COMBC(A,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(B)))),hAPP(hAPP(c_COMBC(A,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(B))))),D),E)),F)),G)).
% 6.14/6.36    Following clause subsumed by 9156 during input processing: 0 [copy,11641,flip.1] {-} c_New__Random__Sequence_Opos__map(A,B,C,D)=c_New__Random__Sequence_Opos__bind(A,B,D,hAPP(c_Fun_Ocomp(B,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(B))))),A,c_New__Random__Sequence_Opos__single(B)),C)).
% 6.14/6.36    Following clause subsumed by 9370 during input processing: 0 [copy,11642,flip.1] {-} hAPP(hAPP(hAPP(c_COMBC(A,B,C),D),E),F)=hAPP(hAPP(D,F),E).
% 6.14/6.36    Following clause subsumed by 9371 during input processing: 0 [copy,11643,flip.1] {-} hAPP(hAPP(hAPP(c_COMBS(A,B,C),D),E),F)=hAPP(hAPP(D,F),hAPP(E,F)).
% 6.14/6.36    Following clause subsumed by 11644 during input processing: 0 [copy,11644,flip.1] {-} hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),hAPP(c_fequal,B)))),hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),hAPP(c_fequal,C)))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),D))))=hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),hAPP(c_fequal,C)))),hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),hAPP(c_fequal,B)))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),D)))).
% 6.14/6.36    Following clause subsumed by 11521 during input processing: 0 [copy,11681,flip.1] {-} hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),hAPP(c_fequal,B)))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),hAPP(c_List_Oset(A),C))))=hAPP(c_List_Oset(A),c_List_Oinsert(A,B,C)).
% 6.14/6.36    Following clause subsumed by 11367 during input processing: 0 [copy,11687,flip.1] {-} hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),hAPP(c_fequal,B)))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),hAPP(c_List_Oset(A),C))))=hAPP(c_List_Oset(A),hAPP(hAPP(c_List_Olist_OCons(A),B),C)).
% 6.14/6.36    Following clause subsumed by 11324 during input processing: 0 [copy,11692,flip.1] {-} hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,hAPP(B,C))),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(D,tc_fun(A,tc_HOL_Obool)),E),B))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(D,tc_fun(A,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,D),c_fNot),hAPP(c_Relation_OImage(D,D,c_Relation_OId__on(D,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,D),c_fNot),hAPP(c_fequal,C)))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,D),c_fNot),E)))),B).
% 6.14/6.37    Following clause subsumed by 9777 during input processing: 0 [copy,11699,flip.1] {-} hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),hAPP(c_fequal,hAPP(B,C))))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),hAPP(c_Set_Oimage(D,A,B),E))))=hAPP(c_Set_Oimage(D,A,B),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,D),c_fNot),hAPP(c_Relation_OImage(D,D,c_Relation_OId__on(D,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,D),c_fNot),hAPP(c_fequal,C)))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,D),c_fNot),E)))).
% 6.14/6.37    Following clause subsumed by 9780 during input processing: 0 [copy,11700,flip.1] {-} hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),hAPP(c_fequal,B)))),hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),C))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),D))))=hAPP(hAPP(c_COMBS(A,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),A),c_fdisj),C)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),hAPP(c_fequal,B)))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),D)))).
% 6.14/6.37    Following clause subsumed by 9877 during input processing: 0 [copy,11701,flip.1] {-} hAPP(hAPP(c_COMBS(A,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),A),c_fdisj),hAPP(c_Set_Oimage(B,A,C),hAPP(c_Relation_OImage(B,B,c_Relation_OId__on(B,D)),E)))),hAPP(c_Set_Oimage(B,A,F),hAPP(c_Relation_OImage(B,B,c_Relation_OId__on(B,D)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,B),c_fNot),E))))=hAPP(c_Set_Oimage(B,A,hAPP(hAPP(c_COMBS(B,A,A),hAPP(hAPP(c_COMBS(B,A,tc_fun(A,A)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(A,tc_fun(A,A)),B),c_If(A)),E)),C)),F)),D).
% 6.14/6.37    Following clause subsumed by 11703 during input processing: 0 [copy,11702,flip.1] {-} hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,B)),hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,C)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),D)))=hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,B)),hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),D))),C)).
% 6.14/6.37    Following clause subsumed by 11702 during input processing: 0 [copy,11703,flip.1] {-} hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,B)),hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),C))),D))=hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,B)),hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,D)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),C))).
% 6.14/6.37    Following clause subsumed by 9890 during input processing: 0 [copy,11704,flip.1] {-} hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,hAPP(hAPP(c_COMBS(A,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),A),c_fdisj),B)),C))),hAPP(hAPP(c_COMBS(A,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),A),c_fdisj),D)),C))=hAPP(hAPP(c_COMBS(A,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),A),c_fdisj),hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,B)),D))),C).
% 6.14/6.37    Following clause subsumed by 11708 during input processing: 0 [copy,11708,flip.1] {-} hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_COMBK(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Int_Onat,hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Relation_OId__on(tc_prod(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_fequal,hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls))),hAPP(c_Int_Onat,c_Int_OPls)))))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),c_Relation_OId__on(tc_Nat_Onat,hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),hAPP(c_COMBK(tc_HOL_Obool,tc_Int_Oint),c_fFalse))))))))))),c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,A,hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_COMBK(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Int_Onat,hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Relation_OId__on(tc_prod(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_fequal,hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls))),hAPP(c_Int_Onat,c_Int_OPls)))))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),c_Relation_OId__on(tc_Nat_Onat,hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),hAPP(c_COMBK(tc_HOL_Obool,tc_Int_Oint),c_fFalse))))))))))),c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,B,C))))=hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_COMBK(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Int_Onat,hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Relation_OId__on(tc_prod(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_fequal,hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls))),hAPP(c_Int_Onat,c_Int_OPls)))))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),c_Relation_OId__on(tc_Nat_Onat,hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),hAPP(c_COMBK(tc_HOL_Obool,tc_Int_Oint),c_fFalse))))))))))),c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,B,hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_COMBK(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Int_Onat,hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Relation_OId__on(tc_prod(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_fequal,hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls))),hAPP(c_Int_Onat,c_Int_OPls)))))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),c_Relation_OId__on(tc_Nat_Onat,hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),hAPP(c_COMBK(tc_HOL_Obool,tc_Int_Oint),c_fFalse))))))))))),c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,A,C)))).
% 6.14/6.37    Following clause subsumed by 10001 during input processing: 0 [copy,11714,flip.1] {-} hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_Nat_Onat),A),B)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_COMBK(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Int_Onat,hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Relation_OId__on(tc_prod(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_fequal,hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls))),hAPP(c_Int_Onat,c_Int_OPls)))))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),c_Relation_OId__on(tc_Nat_Onat,hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),hAPP(c_COMBK(tc_HOL_Obool,tc_Int_Oint),c_fFalse))))))))))),c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,B,A))),B).
% 6.14/6.37    Following clause subsumed by 10108 during input processing: 0 [copy,11722,flip.1] {-} c_Nat_Onat_Onat__case(tc_Nat_Onat,hAPP(c_Int_Onat,c_Int_OPls),c_COMBI(tc_Nat_Onat),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_COMBK(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Int_Onat,hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Relation_OId__on(tc_prod(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_fequal,hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls))),hAPP(c_Int_Onat,c_Int_OPls)))))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),c_Relation_OId__on(tc_Nat_Onat,hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),hAPP(c_COMBK(tc_HOL_Obool,tc_Int_Oint),c_fFalse))))))))))),c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,A,B)))=hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_COMBK(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Int_Onat,hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Relation_OId__on(tc_prod(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_fequal,hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls))),hAPP(c_Int_Onat,c_Int_OPls)))))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),c_Relation_OId__on(tc_Nat_Onat,hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),hAPP(c_COMBK(tc_HOL_Obool,tc_Int_Oint),c_fFalse))))))))))),c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,hAPP(c_Nat_OSuc,A),B)).
% 6.14/6.37    Following clause subsumed by 10113 during input processing: 0 [copy,11723,flip.1] {-} hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_COMBK(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Int_Onat,hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Relation_OId__on(tc_prod(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_fequal,hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls))),hAPP(c_Int_Onat,c_Int_OPls)))))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),c_Relation_OId__on(tc_Nat_Onat,hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),hAPP(c_COMBK(tc_HOL_Obool,tc_Int_Oint),c_fFalse))))))))))),c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onat,hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Relation_OId__on(tc_prod(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_fequal,hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls))),hAPP(c_Int_Onat,c_Int_OPls)))))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),c_Relation_OId__on(tc_Nat_Onat,hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),hAPP(c_COMBK(tc_HOL_Obool,tc_Int_Oint),c_fFalse)))))))))),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),C))))))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Relation_OId__on(tc_prod(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_fequal,hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls))),hAPP(c_Int_Onat,c_Int_OPls)))))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),c_Relation_OId__on(tc_Nat_Onat,hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),hAPP(c_COMBK(tc_HOL_Obool,tc_Int_Oint),c_fFalse))))))))))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Otimes__class_Otimes(tc_Nat_Onat)),C))),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(c_Int_Onat,c_Int_OPls)),A))).
% 6.14/6.37    Following clause subsumed by 11629 during input processing: 0 [copy,11725,flip.1] {-} hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(A,B)),hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(C,A),D)))=hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(C,A),c_Lazy__Sequence_Olazy__sequence_OInsert(C,B,D)).
% 6.14/6.37    Following clause subsumed by 11372 during input processing: 0 [copy,11726,flip.1] {-} hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(A,B)),c_List_Olist_Olist__size(C,A,D)))=c_List_Olist_Olist__size(C,A,hAPP(hAPP(c_List_Olist_OCons(C),B),D)).
% 6.14/6.37    Following clause subsumed by 11734 during input processing: 0 [copy,11733,flip.1] {-} hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),c_Com_Ocom_OSemi(A,B))=hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),c_Com_Ocom_OCond(C,A,B)).
% 6.14/6.37    Following clause subsumed by 11733 during input processing: 0 [copy,11734,flip.1] {-} hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),c_Com_Ocom_OCond(A,B,C))=hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),c_Com_Ocom_OSemi(B,C)).
% 6.14/6.37    Following clause subsumed by 10446 during input processing: 0 [copy,11735,flip.1] {-} hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint,tc_Nat_Onat),hAPP(c_COMBK(tc_Nat_Onat,tc_Int_Oint),hAPP(c_Int_Onat,hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Relation_OId__on(tc_prod(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_fequal,hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls))),hAPP(c_Int_Onat,c_Int_OPls)))))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),c_Relation_OId__on(tc_Nat_Onat,hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),hAPP(c_COMBK(tc_HOL_Obool,tc_Int_Oint),c_fFalse))))))))))),c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Relation_OId__on(tc_prod(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_fequal,hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls))),hAPP(c_Int_Onat,c_Int_OPls)))))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),c_Relation_OId__on(tc_Nat_Onat,hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),hAPP(c_COMBK(tc_HOL_Obool,tc_Int_Oint),c_fFalse))))))))),B))=hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint,tc_Nat_Onat),hAPP(c_COMBK(tc_Nat_Onat,tc_Int_Oint),hAPP(c_Int_Onat,hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Relation_OId__on(tc_prod(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_fequal,hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls))),hAPP(c_Int_Onat,c_Int_OPls)))))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),c_Relation_OId__on(tc_Nat_Onat,hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),hAPP(c_COMBK(tc_HOL_Obool,tc_Int_Oint),c_fFalse))))))))))),c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Int_Oint,A,B)).
% 6.14/6.37    Following clause subsumed by 10452 during input processing: 0 [copy,11736,flip.1] {-} hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot),hAPP(c_Relation_OImage(tc_Nat_Onat,tc_Nat_Onat,c_Relation_OId__on(tc_Nat_Onat,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot),hAPP(c_fequal,hAPP(c_Nat_OSuc,A))))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(c_Int_Onat,c_Int_OPls),A))))=hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Int_OPls,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Relation_OId__on(tc_prod(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_fequal,hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls))),hAPP(c_Int_Onat,c_Int_OPls)))))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),c_Relation_OId__on(tc_Nat_Onat,hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),hAPP(c_COMBK(tc_HOL_Obool,tc_Int_Oint),c_fFalse))))))))),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),A)))).
% 6.14/6.37    Following clause subsumed by 10464 during input processing: 0 [copy,11737,flip.1] {-} hAPP(hAPP(c_COMBS(A,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),A),c_fdisj),hAPP(B,C))),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(D,tc_fun(A,tc_HOL_Obool)),E),B))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(D,tc_fun(A,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,D),c_fNot),hAPP(c_Relation_OImage(D,D,c_Relation_OId__on(D,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,D),c_fNot),hAPP(c_fequal,C)))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,D),c_fNot),E)))),B).
% 6.14/6.37    Following clause subsumed by 10473 during input processing: 0 [copy,11738,flip.1] {-} hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,tc_fun(B,tc_HOL_Obool)),C),hAPP(hAPP(c_COMBB(tc_fun(D,tc_fun(B,tc_HOL_Obool)),tc_fun(B,tc_HOL_Obool),A),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(D,tc_fun(B,tc_HOL_Obool)),E)),hAPP(hAPP(c_COMBC(A,tc_fun(D,tc_fun(B,tc_HOL_Obool)),tc_fun(D,tc_fun(B,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool)),tc_fun(tc_fun(D,tc_fun(B,tc_HOL_Obool)),tc_fun(D,tc_fun(B,tc_HOL_Obool))),A),c_COMBB(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool),D)),hAPP(hAPP(c_COMBB(tc_fun(B,tc_HOL_Obool),tc_fun(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool)),A),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(B,tc_HOL_Obool))),F))),G)))=hAPP(c_Relation_OImage(B,B,c_Relation_OId__on(B,hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,tc_fun(B,tc_HOL_Obool)),C),F))),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(D,tc_fun(B,tc_HOL_Obool)),E),G)).
% 6.14/6.37    Following clause subsumed by 11007 during input processing: 0 [copy,11745,flip.1] {-} hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,A),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Relation_OId__on(tc_prod(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_fequal,hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls))),hAPP(c_Int_Onat,c_Int_OPls)))))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),c_Relation_OId__on(tc_Nat_Onat,hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),hAPP(c_COMBK(tc_HOL_Obool,tc_Int_Oint),c_fFalse)))))))))),hAPP(hAPP(c_COMBS(tc_Int_Oint,A,A),hAPP(hAPP(c_COMBC(tc_Int_Oint,A,tc_fun(A,A)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(A,tc_fun(A,A)),tc_Int_Oint),c_If(A)),c_Nat__Numeral_Oneg)),hAPP(c_Nat_Onat_Onat__rec(A,C,D),E))),hAPP(hAPP(c_COMBS(tc_Int_Oint,A,A),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(A,A),tc_Int_Oint),D),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_Int_Onat)),E))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,A,tc_Int_Oint),c_Nat_Onat_Onat__rec(A,C,D)),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_Int_Onat)),E)))))=hAPP(c_Nat_Onat_Onat__rec(A,C,D),c_Int_Onat__aux(B,E)).
% 6.14/6.37    Following clause subsumed by 11008 during input processing: 0 [copy,11746,flip.1] {-} hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,A),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Relation_OId__on(tc_prod(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_fequal,hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls))),hAPP(c_Int_Onat,c_Int_OPls)))))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),c_Relation_OId__on(tc_Nat_Onat,hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),hAPP(c_COMBK(tc_HOL_Obool,tc_Int_Oint),c_fFalse)))))))))),hAPP(hAPP(c_COMBS(tc_Int_Oint,A,A),hAPP(hAPP(c_COMBC(tc_Int_Oint,A,tc_fun(A,A)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(A,tc_fun(A,A)),tc_Int_Oint),c_If(A)),c_Nat__Numeral_Oneg)),C)),hAPP(hAPP(c_COMBS(tc_Int_Oint,A,A),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(A,A),tc_Int_Oint),D),c_Int_Onat)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,A,tc_Int_Oint),c_Nat_Onat_Onat__rec(A,C,D)),c_Int_Onat))))=hAPP(c_Nat_Onat_Onat__rec(A,C,D),hAPP(c_Int_Onat,B)).
% 6.14/6.37    Following clause subsumed by 11011 during input processing: 0 [copy,11748,flip.1] {-} hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),A)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_COMBK(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Int_Onat,hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Relation_OId__on(tc_prod(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_fequal,hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls))),hAPP(c_Int_Onat,c_Int_OPls)))))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),c_Relation_OId__on(tc_Nat_Onat,hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),hAPP(c_COMBK(tc_HOL_Obool,tc_Int_Oint),c_fFalse))))))))))),c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls)),A)))),C))))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Relation_OId__on(tc_prod(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_fequal,hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls))),hAPP(c_Int_Onat,c_Int_OPls)))))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),c_Relation_OId__on(tc_Nat_Onat,hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),hAPP(c_COMBK(tc_HOL_Obool,tc_Int_Oint),c_fFalse))))))))),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Relation_OId__on(tc_prod(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_fequal,hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls))),hAPP(c_Int_Onat,c_Int_OPls)))))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),c_Relation_OId__on(tc_Nat_Onat,hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),hAPP(c_COMBK(tc_HOL_Obool,tc_Int_Oint),c_fFalse)))))))))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_Int_Oint,tc_Nat_Onat),hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_Int_Oint),tc_Nat_Onat),c_Groups_Otimes__class_Otimes(tc_Int_Oint)),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint))),C))),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(c_Int_Onat,c_Int_OPls)),A))).
% 6.14/6.37    Following clause subsumed by 11012 during input processing: 0 [copy,11749,flip.1] {-} hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),B)))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B),B))).
% 6.14/6.37    Following clause subsumed by 11013 during input processing: 0 [copy,11750,flip.1] {-} hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),A),B)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),A),B))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),A)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B),B)).
% 6.14/6.37    Following clause subsumed by 11051 during input processing: 0 [copy,11751,flip.1] {-} hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Relation_OId__on(tc_prod(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_fequal,hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls))),hAPP(c_Int_Onat,c_Int_OPls)))))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),c_Relation_OId__on(tc_Nat_Onat,hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),hAPP(c_COMBK(tc_HOL_Obool,tc_Int_Oint),c_fFalse))))))))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),B))))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Relation_OId__on(tc_prod(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_fequal,hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls))),hAPP(c_Int_Onat,c_Int_OPls)))))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),c_Relation_OId__on(tc_Nat_Onat,hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),hAPP(c_COMBK(tc_HOL_Obool,tc_Int_Oint),c_fFalse))))))))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B),B)))).
% 6.14/6.37    Following clause subsumed by 11052 during input processing: 0 [copy,11752,flip.1] {-} hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Relation_OId__on(tc_prod(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_fequal,hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls))),hAPP(c_Int_Onat,c_Int_OPls)))))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),c_Relation_OId__on(tc_Nat_Onat,hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),hAPP(c_COMBK(tc_HOL_Obool,tc_Int_Oint),c_fFalse))))))))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),B))))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Relation_OId__on(tc_prod(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_fequal,hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls))),hAPP(c_Int_Onat,c_Int_OPls)))))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),c_Relation_OId__on(tc_Nat_Onat,hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),hAPP(c_COMBK(tc_HOL_Obool,tc_Int_Oint),c_fFalse))))))))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B),B)))).
% 6.14/6.37    Following clause subsumed by 11053 during input processing: 0 [copy,11753,flip.1] {-} hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),A),B)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),A),B))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Relation_OId__on(tc_prod(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_fequal,hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls))),hAPP(c_Int_Onat,c_Int_OPls)))))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),c_Relation_OId__on(tc_Nat_Onat,hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),hAPP(c_COMBK(tc_HOL_Obool,tc_Int_Oint),c_fFalse))))))))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),A))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Relation_OId__on(tc_prod(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_fequal,hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls))),hAPP(c_Int_Onat,c_Int_OPls)))))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),c_Relation_OId__on(tc_Nat_Onat,hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),hAPP(c_COMBK(tc_HOL_Obool,tc_Int_Oint),c_fFalse))))))))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B),B))).
% 6.14/6.37    Following clause subsumed by 11054 during input processing: 0 [copy,11754,flip.1] {-} hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Relation_OId__on(tc_prod(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_fequal,hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls))),hAPP(c_Int_Onat,c_Int_OPls)))))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),c_Relation_OId__on(tc_Nat_Onat,hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),hAPP(c_COMBK(tc_HOL_Obool,tc_Int_Oint),c_fFalse))))))))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),A),B)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),A),B)))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Relation_OId__on(tc_prod(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_fequal,hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls))),hAPP(c_Int_Onat,c_Int_OPls)))))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),c_Relation_OId__on(tc_Nat_Onat,hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),hAPP(c_COMBK(tc_HOL_Obool,tc_Int_Oint),c_fFalse))))))))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),A))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B),B)).
% 6.14/6.37    Following clause subsumed by 11055 during input processing: 0 [copy,11755,flip.1] {-} hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Relation_OId__on(tc_prod(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_fequal,hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls))),hAPP(c_Int_Onat,c_Int_OPls)))))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),c_Relation_OId__on(tc_Nat_Onat,hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),hAPP(c_COMBK(tc_HOL_Obool,tc_Int_Oint),c_fFalse))))))))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),A))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Relation_OId__on(tc_prod(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_fequal,hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls))),hAPP(c_Int_Onat,c_Int_OPls)))))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),c_Relation_OId__on(tc_Nat_Onat,hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),hAPP(c_COMBK(tc_HOL_Obool,tc_Int_Oint),c_fFalse)))))))))).
% 6.14/6.37    Following clause subsumed by 11057 during input processing: 0 [copy,11756,flip.1] {-} hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Relation_OId__on(tc_prod(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_fequal,hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls))),hAPP(c_Int_Onat,c_Int_OPls)))))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),c_Relation_OId__on(tc_Nat_Onat,hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),hAPP(c_COMBK(tc_HOL_Obool,tc_Int_Oint),c_fFalse))))))))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),A),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Relation_OId__on(tc_prod(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_fequal,hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls))),hAPP(c_Int_Onat,c_Int_OPls)))))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),c_Relation_OId__on(tc_Nat_Onat,hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),hAPP(c_COMBK(tc_HOL_Obool,tc_Int_Oint),c_fFalse)))))))))),B)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),A),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Relation_OId__on(tc_prod(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_fequal,hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls))),hAPP(c_Int_Onat,c_Int_OPls)))))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),c_Relation_OId__on(tc_Nat_Onat,hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),hAPP(c_COMBK(tc_HOL_Obool,tc_Int_Oint),c_fFalse)))))))))),B)))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),A)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Relation_OId__on(tc_prod(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_fequal,hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls))),hAPP(c_Int_Onat,c_Int_OPls)))))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),c_Relation_OId__on(tc_Nat_Onat,hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),hAPP(c_COMBK(tc_HOL_Obool,tc_Int_Oint),c_fFalse))))))))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B),B))).
% 6.14/6.37    Following clause subsumed by 11058 during input processing: 0 [copy,11757,flip.1] {-} hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Relation_OId__on(tc_prod(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_fequal,hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls))),hAPP(c_Int_Onat,c_Int_OPls)))))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),c_Relation_OId__on(tc_Nat_Onat,hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),hAPP(c_COMBK(tc_HOL_Obool,tc_Int_Oint),c_fFalse))))))))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Relation_OId__on(tc_prod(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_fequal,hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls))),hAPP(c_Int_Onat,c_Int_OPls)))))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),c_Relation_OId__on(tc_Nat_Onat,hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),hAPP(c_COMBK(tc_HOL_Obool,tc_Int_Oint),c_fFalse)))))))))))))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Relation_OId__on(tc_prod(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_fequal,hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls))),hAPP(c_Int_Onat,c_Int_OPls)))))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),c_Relation_OId__on(tc_Nat_Onat,hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),hAPP(c_COMBK(tc_HOL_Obool,tc_Int_Oint),c_fFalse))))))))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Relation_OId__on(tc_prod(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_fequal,hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls))),hAPP(c_Int_Onat,c_Int_OPls)))))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),c_Relation_OId__on(tc_Nat_Onat,hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),hAPP(c_COMBK(tc_HOL_Obool,tc_Int_Oint),c_fFalse))))))))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B),B))))).
% 6.14/6.38    Following clause subsumed by 11060 during input processing: 0 [copy,11758,flip.1] {-} hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Relation_OId__on(tc_prod(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_fequal,hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls))),hAPP(c_Int_Onat,c_Int_OPls)))))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),c_Relation_OId__on(tc_Nat_Onat,hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),hAPP(c_COMBK(tc_HOL_Obool,tc_Int_Oint),c_fFalse))))))))),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Relation_OId__on(tc_prod(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_fequal,hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls))),hAPP(c_Int_Onat,c_Int_OPls)))))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),c_Relation_OId__on(tc_Nat_Onat,hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),hAPP(c_COMBK(tc_HOL_Obool,tc_Int_Oint),c_fFalse)))))))))),c_Divides_Odiv__class_Omod(tc_Int_Oint,A,B))=c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B),B)).
% 6.14/6.38    Following clause subsumed by 11777 during input processing: 0 [copy,11759,flip.1] {-} hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_Odivmod__int(hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_Odivmod__int(A,c_Int_OMin)),B))=hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_Odivmod__int(A,hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_Odivmod__int(B,c_Int_OMin)))).
% 6.14/6.38    Following clause subsumed by 11076 during input processing: 0 [copy,11764,flip.1] {-} hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),A),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Relation_OId__on(tc_prod(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_fequal,hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls))),hAPP(c_Int_Onat,c_Int_OPls)))))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),c_Relation_OId__on(tc_Nat_Onat,hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),hAPP(c_COMBK(tc_HOL_Obool,tc_Int_Oint),c_fFalse)))))))))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OMin),A).
% 6.14/6.38    Following clause subsumed by 11759 during input processing: 0 [copy,11777,flip.1] {-} hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_Odivmod__int(A,hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_Odivmod__int(B,c_Int_OMin))))=hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_Odivmod__int(hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_Odivmod__int(A,c_Int_OMin)),B)).
% 6.14/6.38    Following clause subsumed by 11348 during input processing: 0 [copy,11814,flip.1] {-} c_Smallcheck_Ofull__small_H(A,hAPP(c_Code__Numeral_Oint__of,B),hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_Odivmod__int(hAPP(c_Code__Numeral_Oint__of,B),c_Int_OMin)))=c_Smallcheck_Ofull__small__class_Ofull__small(tc_Int_Oint,A,B).
% 6.14/6.38    Following clause subsumed by 11085 during input processing: 0 [copy,11820,flip.1] {-} hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),A),B)),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_Int_Oint),c_If(tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls))),hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Relation_OId__on(tc_prod(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_fequal,hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls))),hAPP(c_Int_Onat,c_Int_OPls)))))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),c_Relation_OId__on(tc_Nat_Onat,hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),hAPP(c_COMBK(tc_HOL_Obool,tc_Int_Oint),c_fFalse))))))))),c_Int_OMin)),C)),c_Int_OMin)))),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Relation_OId__on(tc_prod(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_fequal,hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls))),hAPP(c_Int_Onat,c_Int_OPls)))))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),c_Relation_OId__on(tc_Nat_Onat,hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),hAPP(c_COMBK(tc_HOL_Obool,tc_Int_Oint),c_fFalse))))))))),c_Int_OMin)),C)),A)))=hAPP(c_Divides_Oadjust(B),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),C),A)).
% 6.14/6.38    Following clause subsumed by 11088 during input processing: 0 [copy,11821,flip.1] {-} hAPP(c_Product__Type_Ointernal__split(tc_Int_Oint,tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_fun(tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_Int_Oint),c_COMBS(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_fun(tc_Int_Oint,tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_Int_Oint),hAPP(c_COMBS(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_Int_Oint),c_If(tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_HOL_Obool,tc_Int_Oint),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls)),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),c_Groups_Ominus__class_Ominus(tc_Int_Oint)),A))))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_fun(tc_fun(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_Int_Oint),c_COMBB(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint),tc_Int_Oint)),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_Int_Oint),c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_Int_Oint),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint)),hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Relation_OId__on(tc_prod(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_fequal,hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls))),hAPP(c_Int_Onat,c_Int_OPls)))))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),c_Relation_OId__on(tc_Nat_Onat,hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),hAPP(c_COMBK(tc_HOL_Obool,tc_Int_Oint),c_fFalse))))))))),c_Int_OMin)))),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Relation_OId__on(tc_prod(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_fequal,hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls))),hAPP(c_Int_Onat,c_Int_OPls)))))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),c_Relation_OId__on(tc_Nat_Onat,hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),hAPP(c_COMBK(tc_HOL_Obool,tc_Int_Oint),c_fFalse)))))))))))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),c_Groups_Ominus__class_Ominus(tc_Int_Oint)),A))))),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_Int_Oint),c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint)),hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Relation_OId__on(tc_prod(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_fequal,hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls))),hAPP(c_Int_Onat,c_Int_OPls)))))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),c_Relation_OId__on(tc_Nat_Onat,hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),hAPP(c_COMBK(tc_HOL_Obool,tc_Int_Oint),c_fFalse))))))))),c_Int_OMin)))))=c_Divides_Oadjust(A).
% 6.14/6.38    Following clause subsumed by 11135 during input processing: 0 [copy,11823,flip.1] {-} hAPP(c_Product__Type_Ointernal__split(A,A,tc_HOL_Obool),hAPP(hAPP(c_COMBC(A,tc_fun(tc_prod(B,B),tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(A,tc_fun(tc_fun(tc_prod(B,B),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(B,B),tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),A),c_COMBC(A,tc_fun(tc_prod(B,B),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(A,tc_prod(B,B)),tc_fun(A,tc_fun(tc_fun(tc_prod(B,B),tc_HOL_Obool),tc_HOL_Obool)),A),hAPP(c_COMBB(tc_prod(B,B),tc_fun(tc_fun(tc_prod(B,B),tc_HOL_Obool),tc_HOL_Obool),A),c_member(tc_prod(B,B)))),hAPP(hAPP(c_COMBC(A,tc_fun(A,B),tc_fun(A,tc_prod(B,B))),hAPP(hAPP(c_COMBB(tc_fun(B,tc_prod(B,B)),tc_fun(tc_fun(A,B),tc_fun(A,tc_prod(B,B))),A),c_COMBB(B,tc_prod(B,B),A)),hAPP(hAPP(c_COMBB(B,tc_fun(B,tc_prod(B,B)),A),c_Product__Type_OPair(B,B)),C))),C)))),D))=hAPP(hAPP(c_Relation_Oinv__image(B,A),D),C).
% 6.14/6.38    Following clause subsumed by 11150 during input processing: 0 [copy,11824,flip.1] {-} hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),hAPP(c_fequal,B)))),hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),hAPP(c_fequal,C)))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),hAPP(c_Relation_OField(A),D)))))=hAPP(c_Relation_OField(A),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(A,A)),c_fNot),hAPP(c_Relation_OImage(tc_prod(A,A),tc_prod(A,A),c_Relation_OId__on(tc_prod(A,A),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(A,A)),c_fNot),hAPP(c_fequal,hAPP(hAPP(c_Product__Type_OPair(A,A),B),C))))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(A,A)),c_fNot),D)))).
% 6.14/6.38    Following clause subsumed by 11186 during input processing: 0 [copy,11826,flip.1] {-} hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Relation_OId__on(tc_prod(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_fequal,hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),A),B))))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),c_Relation_OId__on(tc_Nat_Onat,hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),hAPP(c_COMBK(tc_HOL_Obool,tc_Int_Oint),c_fFalse))))))))=hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_Odivmod__int(hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Relation_OId__on(tc_prod(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_fequal,hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),B),A))))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),c_Relation_OId__on(tc_Nat_Onat,hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),hAPP(c_COMBK(tc_HOL_Obool,tc_Int_Oint),c_fFalse)))))))),c_Int_OMin)).
% 6.14/6.38    Following clause subsumed by 11187 during input processing: 0 [copy,11827,flip.1] {-} hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Relation_OId__on(tc_prod(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_fequal,hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),A),hAPP(c_Int_Onat,c_Int_OPls)))))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),c_Relation_OId__on(tc_Nat_Onat,hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),hAPP(c_COMBK(tc_HOL_Obool,tc_Int_Oint),c_fFalse))))))))=hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),A).
% 6.14/6.38    Following clause subsumed by 11188 during input processing: 0 [copy,11828,flip.1] {-} hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Relation_OId__on(tc_prod(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_fequal,hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),A),B)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),C),D)))))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),c_Relation_OId__on(tc_Nat_Onat,hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),hAPP(c_COMBK(tc_HOL_Obool,tc_Int_Oint),c_fFalse))))))))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Relation_OId__on(tc_prod(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_fequal,hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),A),C))))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),c_Relation_OId__on(tc_Nat_Onat,hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),hAPP(c_COMBK(tc_HOL_Obool,tc_Int_Oint),c_fFalse))))))))),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Relation_OId__on(tc_prod(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_fequal,hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),B),D))))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),c_Relation_OId__on(tc_Nat_Onat,hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),hAPP(c_COMBK(tc_HOL_Obool,tc_Int_Oint),c_fFalse))))))))).
% 6.14/6.38    Following clause subsumed by 11189 during input processing: 0 [copy,11829,flip.1] {-} hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_COMBK(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Int_Onat,hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Relation_OId__on(tc_prod(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_fequal,hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls))),hAPP(c_Int_Onat,c_Int_OPls)))))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),c_Relation_OId__on(tc_Nat_Onat,hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),hAPP(c_COMBK(tc_HOL_Obool,tc_Int_Oint),c_fFalse))))))))))),c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,A,B))=hAPP(c_Int_Onat,hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Relation_OId__on(tc_prod(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_fequal,hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),B),A))))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),c_Relation_OId__on(tc_Nat_Onat,hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),hAPP(c_COMBK(tc_HOL_Obool,tc_Int_Oint),c_fFalse))))))))).
% 6.14/6.38    Following clause subsumed by 11202 during input processing: 0 [copy,11830,flip.1] {-} c_Nitpick_OAbs__Frac(A,hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),B),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Relation_OId__on(tc_prod(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_fequal,hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls))),hAPP(c_Int_Onat,c_Int_OPls)))))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),c_Relation_OId__on(tc_Nat_Onat,hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),hAPP(c_COMBK(tc_HOL_Obool,tc_Int_Oint),c_fFalse))))))))))=c_Nitpick_Onumber__of__frac(A,B).
% 6.14/6.38    Following clause subsumed by 11211 during input processing: 0 [copy,11831,flip.1] {-} hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(A,tc_Nat_Onat),hAPP(c_COMBK(tc_Nat_Onat,A),hAPP(c_Int_Onat,hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Relation_OId__on(tc_prod(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_fequal,hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls))),hAPP(c_Int_Onat,c_Int_OPls)))))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),c_Relation_OId__on(tc_Nat_Onat,hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),hAPP(c_COMBK(tc_HOL_Obool,tc_Int_Oint),c_fFalse))))))))))),B)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(C,tc_Nat_Onat),hAPP(c_COMBK(tc_Nat_Onat,C),hAPP(c_Int_Onat,hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Relation_OId__on(tc_prod(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_fequal,hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls))),hAPP(c_Int_Onat,c_Int_OPls)))))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),c_Relation_OId__on(tc_Nat_Onat,hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),hAPP(c_COMBK(tc_HOL_Obool,tc_Int_Oint),c_fFalse))))))))))),D))=hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_prod(A,C),tc_Nat_Onat),hAPP(c_COMBK(tc_Nat_Onat,tc_prod(A,C)),hAPP(c_Int_Onat,hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Relation_OId__on(tc_prod(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_fequal,hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls))),hAPP(c_Int_Onat,c_Int_OPls)))))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),c_Relation_OId__on(tc_Nat_Onat,hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),hAPP(c_COMBK(tc_HOL_Obool,tc_Int_Oint),c_fFalse))))))))))),c_Nitpick_Oprod(A,C,B,D)).
% 6.14/6.38    Following clause subsumed by 11262 during input processing: 0 [copy,11832,flip.1] {-} hAPP(hAPP(c_Product__Type_OSigma(A,B),C),hAPP(hAPP(c_COMBB(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool),A),c_Set_OCollect(B)),D))=hAPP(c_Product__Type_Ointernal__split(A,B,tc_HOL_Obool),hAPP(hAPP(c_COMBS(A,tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool)),A),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,B)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),A),c_fconj),C))),D)).
% 6.14/6.38    Following clause subsumed by 11279 during input processing: 0 [copy,11833,flip.1] {-} hAPP(hAPP(c_COMBS(tc_prod(A,A),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_prod(A,A)),c_fdisj),c_Transitive__Closure_Otrancl(A,B))),c_Nitpick_Oprod(A,A,hAPP(c_Set_Ovimage(A,tc_prod(A,A),hAPP(hAPP(c_COMBC(A,A,tc_prod(A,A)),c_Product__Type_OPair(A,A)),C)),c_Transitive__Closure_Ortrancl(A,B)),hAPP(c_Set_Ovimage(A,tc_prod(A,A),hAPP(c_Product__Type_OPair(A,A),D)),c_Transitive__Closure_Ortrancl(A,B))))=c_Transitive__Closure_Otrancl(A,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(A,A)),c_fNot),hAPP(c_Relation_OImage(tc_prod(A,A),tc_prod(A,A),c_Relation_OId__on(tc_prod(A,A),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(A,A)),c_fNot),hAPP(c_fequal,hAPP(hAPP(c_Product__Type_OPair(A,A),C),D))))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(A,A)),c_fNot),B)))).
% 6.14/6.38    Following clause subsumed by 11339 during input processing: 0 [copy,11834,flip.1] {-} hAPP(hAPP(c_COMBS(A,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),A),c_fdisj),B)),c_Complete__Lattice_OSup__class_OSup(tc_fun(A,tc_HOL_Obool),C))=c_Complete__Lattice_OSup__class_OSup(tc_fun(A,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_fun(A,tc_HOL_Obool)),c_fNot),hAPP(c_Relation_OImage(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool),c_Relation_OId__on(tc_fun(A,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_fun(A,tc_HOL_Obool)),c_fNot),hAPP(c_fequal,B)))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_fun(A,tc_HOL_Obool)),c_fNot),C)))).
% 6.14/6.38    Following clause subsumed by 11341 during input processing: 0 [copy,11835,flip.1] {-} c_Complete__Lattice_OSup__class_OSup(tc_fun(A,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_fun(A,tc_HOL_Obool)),c_fNot),hAPP(c_Relation_OImage(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool),c_Relation_OId__on(tc_fun(A,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_fun(A,tc_HOL_Obool)),c_fNot),hAPP(c_fequal,B)))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_fun(A,tc_HOL_Obool)),c_fNot),hAPP(c_fequal,C)))))=hAPP(hAPP(c_COMBS(A,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),A),c_fdisj),B)),C).
% 6.14/6.38    Following clause subsumed by 11347 during input processing: 0 [copy,11848,flip.1] {-} c_List_Ofoldr(tc_prod(A,B),tc_fun(A,tc_Option_Ooption(B)),hAPP(c_Product__Type_Ointernal__split(A,B,tc_fun(tc_fun(A,tc_Option_Ooption(B)),tc_fun(A,tc_Option_Ooption(B)))),hAPP(hAPP(c_COMBC(A,tc_fun(B,tc_Option_Ooption(B)),tc_fun(B,tc_fun(tc_fun(A,tc_Option_Ooption(B)),tc_fun(A,tc_Option_Ooption(B))))),hAPP(hAPP(c_COMBB(tc_fun(tc_Option_Ooption(B),tc_fun(tc_fun(A,tc_Option_Ooption(B)),tc_fun(A,tc_Option_Ooption(B)))),tc_fun(tc_fun(B,tc_Option_Ooption(B)),tc_fun(B,tc_fun(tc_fun(A,tc_Option_Ooption(B)),tc_fun(A,tc_Option_Ooption(B))))),A),c_COMBB(tc_Option_Ooption(B),tc_fun(tc_fun(A,tc_Option_Ooption(B)),tc_fun(A,tc_Option_Ooption(B))),B)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(A,tc_Option_Ooption(B)),tc_fun(tc_Option_Ooption(B),tc_fun(A,tc_Option_Ooption(B)))),tc_fun(tc_Option_Ooption(B),tc_fun(tc_fun(A,tc_Option_Ooption(B)),tc_fun(A,tc_Option_Ooption(B)))),A),c_COMBC(tc_fun(A,tc_Option_Ooption(B)),tc_Option_Ooption(B),tc_fun(A,tc_Option_Ooption(B)))),hAPP(c_COMBC(tc_fun(A,tc_Option_Ooption(B)),A,tc_fun(tc_Option_Ooption(B),tc_fun(A,tc_Option_Ooption(B)))),c_Fun_Ofun__upd(A,tc_Option_Ooption(B)))))),c_Option_Ooption_OSome(B))),C,D)=c_Map_Omap__add(A,B,D,hAPP(c_Map_Omap__of(A,B),C)).
% 6.14/6.38    Following clause subsumed by 11354 during input processing: 0 [copy,11849,flip.1] {-} hAPP(c_Fun_Ocomp(tc_Option_Ooption(A),tc_Option_Ooption(B),C,hAPP(c_Option_Omap(A,B),D)),hAPP(c_Map_Omap__of(C,A),E))=hAPP(c_Map_Omap__of(C,B),hAPP(hAPP(c_List_Omap(tc_prod(C,A),tc_prod(C,B)),hAPP(c_Product__Type_Ointernal__split(C,A,tc_prod(C,B)),hAPP(hAPP(c_COMBC(C,tc_fun(A,B),tc_fun(A,tc_prod(C,B))),hAPP(hAPP(c_COMBB(tc_fun(B,tc_prod(C,B)),tc_fun(tc_fun(A,B),tc_fun(A,tc_prod(C,B))),C),c_COMBB(B,tc_prod(C,B),A)),c_Product__Type_OPair(C,B))),D))),E)).
% 6.14/6.38    Following clause subsumed by 11379 during input processing: 0 [copy,11850,flip.1] {-} c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,A,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Relation_OId__on(tc_prod(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_fequal,hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls))),hAPP(c_Int_Onat,c_Int_OPls)))))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),c_Relation_OId__on(tc_Nat_Onat,hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),hAPP(c_COMBK(tc_HOL_Obool,tc_Int_Oint),c_fFalse))))))))))=hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint,A),B).
% 6.14/6.38    Following clause subsumed by 11385 during input processing: 0 [copy,11851,flip.1] {-} hAPP(hAPP(c_List_Omap(tc_prod(A,B),C),hAPP(c_Product__Type_Ointernal__split(A,B,C),hAPP(hAPP(c_COMBB(tc_fun(B,tc_prod(D,B)),tc_fun(B,C),A),hAPP(c_COMBB(tc_prod(D,B),C,B),E)),hAPP(hAPP(c_COMBB(D,tc_fun(B,tc_prod(D,B)),A),c_Product__Type_OPair(D,B)),F)))),hAPP(hAPP(c_List_Ozip(A,B),G),H))=hAPP(hAPP(c_List_Omap(tc_prod(D,B),C),E),hAPP(hAPP(c_List_Ozip(D,B),hAPP(hAPP(c_List_Omap(A,D),F),G)),H)).
% 6.14/6.38    Following clause subsumed by 11386 during input processing: 0 [copy,11852,flip.1] {-} hAPP(hAPP(c_List_Omap(tc_prod(A,B),C),hAPP(c_Product__Type_Ointernal__split(A,B,C),hAPP(hAPP(c_COMBB(tc_fun(B,tc_prod(A,D)),tc_fun(B,C),A),hAPP(c_COMBB(tc_prod(A,D),C,B),E)),hAPP(hAPP(c_COMBC(A,tc_fun(B,D),tc_fun(B,tc_prod(A,D))),hAPP(hAPP(c_COMBB(tc_fun(D,tc_prod(A,D)),tc_fun(tc_fun(B,D),tc_fun(B,tc_prod(A,D))),A),c_COMBB(D,tc_prod(A,D),B)),c_Product__Type_OPair(A,D))),F)))),hAPP(hAPP(c_List_Ozip(A,B),G),H))=hAPP(hAPP(c_List_Omap(tc_prod(A,D),C),E),hAPP(hAPP(c_List_Ozip(A,D),G),hAPP(hAPP(c_List_Omap(B,D),F),H))).
% 6.14/6.38    Following clause subsumed by 11389 during input processing: 0 [copy,11853,flip.1] {-} hAPP(hAPP(c_List_Omap(tc_prod(A,B),tc_prod(A,C)),hAPP(c_Product__Type_Ointernal__split(A,B,tc_prod(A,C)),hAPP(hAPP(c_COMBC(A,tc_fun(B,C),tc_fun(B,tc_prod(A,C))),hAPP(hAPP(c_COMBB(tc_fun(C,tc_prod(A,C)),tc_fun(tc_fun(B,C),tc_fun(B,tc_prod(A,C))),A),c_COMBB(C,tc_prod(A,C),B)),c_Product__Type_OPair(A,C))),D))),hAPP(hAPP(c_List_Ozip(A,B),E),F))=hAPP(hAPP(c_List_Ozip(A,C),E),hAPP(hAPP(c_List_Omap(B,C),D),F)).
% 6.14/6.38    Following clause subsumed by 11390 during input processing: 0 [copy,11854,flip.1] {-} hAPP(c_Relation_ODomain(tc_prod(A,B),tc_Nat_Onat),hAPP(c_Product__Type_Ointernal__split(tc_prod(A,B),tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_prod(A,B),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_prod(A,B)),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_prod(A,B)),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),hAPP(hAPP(c_COMBC(tc_prod(A,B),tc_fun(tc_Nat_Onat,tc_prod(A,B)),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(A,B),tc_HOL_Obool),tc_fun(tc_fun(tc_Nat_Onat,tc_prod(A,B)),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_prod(A,B)),c_COMBB(tc_prod(A,B),tc_HOL_Obool,tc_Nat_Onat)),c_fequal)),hAPP(hAPP(c_COMBS(tc_Nat_Onat,B,tc_prod(A,B)),hAPP(hAPP(c_COMBB(A,tc_fun(B,tc_prod(A,B)),tc_Nat_Onat),c_Product__Type_OPair(A,B)),hAPP(c_List_Onth(A),C))),hAPP(c_List_Onth(B),D)))))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(A)),c_List_Osublist(A,C,hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(c_Int_Onat,c_Int_OPls)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(B)),D))))))))=hAPP(c_List_Oset(tc_prod(A,B)),hAPP(hAPP(c_List_Ozip(A,B),C),D)).
% 6.14/6.38    Following clause subsumed by 11442 during input processing: 0 [copy,11856,flip.1] {-} hAPP(c_Code__Numeral_Oof__nat,hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_COMBK(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Int_Onat,hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Relation_OId__on(tc_prod(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_fequal,hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls))),hAPP(c_Int_Onat,c_Int_OPls)))))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),c_Relation_OId__on(tc_Nat_Onat,hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),hAPP(c_COMBK(tc_HOL_Obool,tc_Int_Oint),c_fFalse))))))))))),c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,A,B)))=hAPP(hAPP(c_Code__Numeral_Osubtract__code__numeral,hAPP(c_Code__Numeral_Oof__nat,B)),hAPP(c_Code__Numeral_Oof__nat,A)).
% 6.14/6.38    Following clause subsumed by 11858 during input processing: 0 [copy,11857,flip.1] {-} c_Enum_Osublists(A,c_List_Olist_ONil(A))=c_Enum_On__lists(A,hAPP(c_Int_Onat,c_Int_OPls),B).
% 6.14/6.38    Following clause subsumed by 11857 during input processing: 0 [copy,11858,flip.1] {-} c_Enum_On__lists(A,hAPP(c_Int_Onat,c_Int_OPls),B)=c_Enum_Osublists(A,c_List_Olist_ONil(A)).
% 6.14/6.38    Following clause subsumed by 11462 during input processing: 0 [copy,11859,flip.1] {-} c_List_Oinsert(A,B,c_List_Olist_ONil(A))=c_List_Osublist(A,hAPP(hAPP(c_List_Olist_OCons(A),B),C),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(c_Int_Onat,c_Int_OPls)),hAPP(c_Int_Onat,hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Relation_OId__on(tc_prod(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_fequal,hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls))),hAPP(c_Int_Onat,c_Int_OPls)))))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),c_Relation_OId__on(tc_Nat_Onat,hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),hAPP(c_COMBK(tc_HOL_Obool,tc_Int_Oint),c_fFalse))))))))))).
% 6.14/6.38    Following clause subsumed by 11493 during input processing: 0 [copy,11860,flip.1] {-} c_Lazy__Sequence_Ohb__not__seq(hAPP(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Code__Numeral_Ocode__numeral),hAPP(c_Code__Numeral_Oof__nat,hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Relation_OId__on(tc_prod(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_fequal,hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls))),hAPP(c_Int_Onat,c_Int_OPls)))))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),c_Relation_OId__on(tc_Nat_Onat,hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),hAPP(c_COMBK(tc_HOL_Obool,tc_Int_Oint),c_fFalse))))))))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Relation_OId__on(tc_prod(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_fequal,hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls))),hAPP(c_Int_Onat,c_Int_OPls)))))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),c_Relation_OId__on(tc_Nat_Onat,hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),hAPP(c_COMBK(tc_HOL_Obool,tc_Int_Oint),c_fFalse))))))))),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Relation_OId__on(tc_prod(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_fequal,hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls))),hAPP(c_Int_Onat,c_Int_OPls)))))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),c_Relation_OId__on(tc_Nat_Onat,hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),hAPP(c_COMBK(tc_HOL_Obool,tc_Int_Oint),c_fFalse))))))))))))),B)))=hAPP(c_New__DSequence_Opos__not__seq(A),B).
% 6.14/6.38    Following clause subsumed by 11502 during input processing: 0 [copy,11861,flip.1] {-} hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(A)),hAPP(hAPP(c_List_Olist_OCons(A),B),hAPP(hAPP(c_List_Omap(tc_List_Olist(A),A),c_List_Ohd(A)),hAPP(c_List_OremoveAll(tc_List_Olist(A),c_List_Olist_ONil(A)),C)))),c_List_Otranspose(A,hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(A)),D),c_List_Omaps(tc_List_Olist(A),tc_List_Olist(A),c_List_Olist_Olist__case(tc_List_Olist(tc_List_Olist(A)),A,c_List_Olist_ONil(tc_List_Olist(A)),hAPP(c_COMBK(tc_fun(tc_List_Olist(A),tc_List_Olist(tc_List_Olist(A))),A),hAPP(hAPP(c_COMBC(tc_List_Olist(A),tc_List_Olist(tc_List_Olist(A)),tc_List_Olist(tc_List_Olist(A))),c_List_Olist_OCons(tc_List_Olist(A))),c_List_Olist_ONil(tc_List_Olist(A))))),C))))=c_List_Otranspose(A,hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(A)),hAPP(hAPP(c_List_Olist_OCons(A),B),D)),C)).
% 6.14/6.38    Following clause subsumed by 11517 during input processing: 0 [copy,11862,flip.1] {-} c_List_Osublist(A,hAPP(c_List_Orev(A),B),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(c_Int_Onat,c_Int_OPls)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_COMBK(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Int_Onat,hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Relation_OId__on(tc_prod(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_fequal,hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls))),hAPP(c_Int_Onat,c_Int_OPls)))))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),c_Relation_OId__on(tc_Nat_Onat,hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),hAPP(c_COMBK(tc_HOL_Obool,tc_Int_Oint),c_fFalse))))))))))),c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,C,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(A)),B)))))=hAPP(c_List_Orev(A),hAPP(hAPP(c_List_Odrop(A),C),B)).
% 6.14/6.38    Following clause subsumed by 11559 during input processing: 0 [copy,11864,flip.1] {-} c_List_Omaps(tc_List_Olist(A),tc_List_Olist(A),c_List_Olist_Olist__case(tc_List_Olist(tc_List_Olist(A)),A,c_List_Olist_ONil(tc_List_Olist(A)),hAPP(c_COMBK(tc_fun(tc_List_Olist(A),tc_List_Olist(tc_List_Olist(A))),A),hAPP(hAPP(c_COMBC(tc_List_Olist(A),tc_List_Olist(tc_List_Olist(A)),tc_List_Olist(tc_List_Olist(A))),c_List_Olist_OCons(tc_List_Olist(A))),c_List_Olist_ONil(tc_List_Olist(A))))),B)=hAPP(hAPP(c_List_Omap(tc_List_Olist(A),tc_List_Olist(A)),c_List_Otl(A)),hAPP(c_List_OremoveAll(tc_List_Olist(A),c_List_Olist_ONil(A)),B)).
% 6.14/6.38    Following clause subsumed by 11560 during input processing: 0 [copy,11865,flip.1] {-} c_List_Omaps(tc_List_Olist(A),tc_List_Olist(A),hAPP(hAPP(c_COMBC(tc_List_Olist(A),tc_List_Olist(A),tc_List_Olist(tc_List_Olist(A))),hAPP(hAPP(c_COMBB(tc_fun(A,tc_List_Olist(A)),tc_fun(tc_List_Olist(A),tc_List_Olist(tc_List_Olist(A))),tc_List_Olist(A)),c_List_Omap(A,tc_List_Olist(A))),hAPP(c_COMBC(A,tc_List_Olist(A),tc_List_Olist(A)),c_List_Olist_OCons(A)))),B),c_Enum_On__lists(A,C,B))=c_Enum_On__lists(A,hAPP(c_Nat_OSuc,C),B).
% 6.14/6.38    Following clause subsumed by 11561 during input processing: 0 [copy,11866,flip.1] {-} c_List_Omaps(A,B,hAPP(hAPP(c_COMBC(A,tc_List_Olist(B),tc_List_Olist(B)),hAPP(hAPP(c_COMBB(B,tc_fun(tc_List_Olist(B),tc_List_Olist(B)),A),c_List_Olist_OCons(B)),C)),c_List_Olist_ONil(B)),D)=hAPP(hAPP(c_List_Omap(A,B),C),D).
% 6.14/6.38    Following clause subsumed by 11562 during input processing: 0 [copy,11867,flip.1] {-} c_List_Omaps(tc_List_Olist(A),B,hAPP(c_List_Omap(A,B),C),D)=hAPP(hAPP(c_List_Omap(A,B),C),c_List_Oconcat(A,D)).
% 6.14/6.38    Following clause subsumed by 11563 during input processing: 0 [copy,11868,flip.1] {-} c_List_Omaps(tc_List_Olist(A),A,c_List_Ofilter(A,B),C)=hAPP(c_List_Ofilter(A,B),c_List_Oconcat(A,C)).
% 6.14/6.38    Following clause subsumed by 11564 during input processing: 0 [copy,11869,flip.1] {-} c_List_Omaps(tc_List_Olist(A),A,c_List_Olist_Olist__case(tc_List_Olist(A),A,c_List_Olist_ONil(A),hAPP(hAPP(c_COMBB(tc_List_Olist(A),tc_fun(tc_List_Olist(A),tc_List_Olist(A)),A),c_COMBK(tc_List_Olist(A),tc_List_Olist(A))),hAPP(hAPP(c_COMBC(A,tc_List_Olist(A),tc_List_Olist(A)),c_List_Olist_OCons(A)),c_List_Olist_ONil(A)))),B)=hAPP(hAPP(c_List_Omap(tc_List_Olist(A),A),c_List_Ohd(A)),hAPP(c_List_OremoveAll(tc_List_Olist(A),c_List_Olist_ONil(A)),B)).
% 6.14/6.38    Following clause subsumed by 11707 during input processing: 0 [copy,11871,flip.1] {-} c_Map_Odom(A,B,c_Fun_Ooverride__on(A,tc_Option_Ooption(B),C,D,E))=hAPP(hAPP(c_COMBS(A,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),A),c_fdisj),c_Map_Odom(A,B,c_Map_Orestrict__map(A,B,C,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,E)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),c_Map_Odom(A,B,D)))))))),hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,E)),c_Map_Odom(A,B,D))).
% 6.14/6.38    Following clause subsumed by 11711 during input processing: 0 [copy,11872,flip.1] {-} hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_COMBK(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Int_Onat,hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Relation_OId__on(tc_prod(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_fequal,hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls))),hAPP(c_Int_Onat,c_Int_OPls)))))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),c_Relation_OId__on(tc_Nat_Onat,hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),hAPP(c_COMBK(tc_HOL_Obool,tc_Int_Oint),c_fFalse))))))))))),c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,A,hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_COMBK(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Int_Onat,hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Relation_OId__on(tc_prod(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_fequal,hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls))),hAPP(c_Int_Onat,c_Int_OPls)))))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),c_Relation_OId__on(tc_Nat_Onat,hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),hAPP(c_COMBK(tc_HOL_Obool,tc_Int_Oint),c_fFalse))))))))))),c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,B,C))))=hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_COMBK(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Int_Onat,hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Relation_OId__on(tc_prod(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_fequal,hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls))),hAPP(c_Int_Onat,c_Int_OPls)))))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),c_Relation_OId__on(tc_Nat_Onat,hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),hAPP(c_COMBK(tc_HOL_Obool,tc_Int_Oint),c_fFalse))))))))))),c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B),A),C)).
% 6.14/6.38  
% 6.14/6.38  ======= end of input processing =======
% 6.22/6.39  
% 6.22/6.39  SEGMENTATION FAULT!!  This is probably caused by a
% 6.22/6.39  bug in Otter.  Please send copy of the input file to
% 6.22/6.39  otter@mcs.anl.gov, let us know what version of Otter you are
% 6.22/6.39  using, and send any other info that might be useful.
% 6.22/6.39  
% 6.22/6.39  
% 6.22/6.39  SEGMENTATION FAULT!!  This is probably caused by a
% 6.22/6.39  bug in Otter.  Please send copy of the input file to
% 6.22/6.39  otter@mcs.anl.gov, let us know what version of Otter you are
% 6.22/6.39  using, and send any other info that might be useful.
% 6.22/6.39  
% 6.22/6.39  
% 6.22/6.39  The job finished Sat Jun  4 17:59:39 2022
%------------------------------------------------------------------------------