TSTP Solution File: SWW346+1 by SOS---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : SWW346+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Thu Jul 21 01:26:38 EDT 2022
% Result : Unknown 6.85s 7.04s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SWW346+1 : TPTP v8.1.0. Released v5.2.0.
% 0.08/0.14 % Command : sos-script %s
% 0.15/0.36 % Computer : n018.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 600
% 0.15/0.36 % DateTime : Sun Jun 5 04:18:33 EDT 2022
% 0.15/0.36 % CPUTime :
% 1.51/1.71 ----- Otter 3.2, August 2001 -----
% 1.51/1.71 The process was started by sandbox2 on n018.cluster.edu,
% 1.51/1.71 Sun Jun 5 04:18:34 2022
% 1.51/1.71 The command was "./sos". The process ID is 19966.
% 1.51/1.71
% 1.51/1.71 set(prolog_style_variables).
% 1.51/1.71 set(auto).
% 1.51/1.71 dependent: set(auto1).
% 1.51/1.71 dependent: set(process_input).
% 1.51/1.71 dependent: clear(print_kept).
% 1.51/1.71 dependent: clear(print_new_demod).
% 1.51/1.71 dependent: clear(print_back_demod).
% 1.51/1.71 dependent: clear(print_back_sub).
% 1.51/1.71 dependent: set(control_memory).
% 1.51/1.71 dependent: assign(max_mem, 12000).
% 1.51/1.71 dependent: assign(pick_given_ratio, 4).
% 1.51/1.71 dependent: assign(stats_level, 1).
% 1.51/1.71 dependent: assign(pick_semantic_ratio, 3).
% 1.51/1.71 dependent: assign(sos_limit, 5000).
% 1.51/1.71 dependent: assign(max_weight, 60).
% 1.51/1.71 clear(print_given).
% 1.51/1.71
% 1.51/1.71 formula_list(usable).
% 1.51/1.71
% 1.51/1.71 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=8.
% 1.51/1.71
% 1.51/1.71 This ia a non-Horn set with equality. The strategy will be
% 1.51/1.71 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 1.51/1.71 unit deletion, with positive clauses in sos and nonpositive
% 1.51/1.71 clauses in usable.
% 1.51/1.71
% 1.51/1.71 dependent: set(knuth_bendix).
% 1.51/1.71 dependent: set(para_from).
% 1.51/1.71 dependent: set(para_into).
% 1.51/1.71 dependent: clear(para_from_right).
% 1.51/1.71 dependent: clear(para_into_right).
% 1.51/1.71 dependent: set(para_from_vars).
% 1.51/1.71 dependent: set(eq_units_both_ways).
% 1.51/1.71 dependent: set(dynamic_demod_all).
% 1.51/1.71 dependent: set(dynamic_demod).
% 1.51/1.71 dependent: set(order_eq).
% 1.51/1.71 dependent: set(back_demod).
% 1.51/1.71 dependent: set(lrpo).
% 1.51/1.71 dependent: set(hyper_res).
% 1.51/1.71 dependent: set(unit_deletion).
% 1.51/1.71 dependent: set(factor).
% 1.51/1.71
% 1.51/1.71 ------------> process usable:
% 1.51/1.71 Following clause subsumed by 12 during input processing: 0 [] {-} hAPP(hAPP(c_Set_Oinsert(A),B),C)!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool)).
% 1.51/1.71 Following clause subsumed by 10 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).
% 1.51/1.71 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)).
% 1.51/1.71 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)).
% 1.51/1.71 Following clause subsumed by 49 during input processing: 0 [flip.1] {-} c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OSKIP.
% 1.51/1.71 Following clause subsumed by 50 during input processing: 0 [flip.1] {-} c_Com_Ocom_OAss(A,B)!=c_Com_Ocom_OSKIP.
% 1.51/1.71 Following clause subsumed by 53 during input processing: 0 [flip.1] {-} c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OSKIP.
% 1.51/1.71 Following clause subsumed by 41 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(A,B)),C),D))|D=C|hBOOL(hAPP(A,C)).
% 1.51/1.71 Following clause subsumed by 83 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)).
% 1.51/1.71 Following clause subsumed by 76 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)).
% 1.51/1.71 Following clause subsumed by 77 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)).
% 1.51/1.71 Following clause subsumed by 102 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)).
% 1.51/1.71 Following clause subsumed by 105 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)).
% 1.51/1.71 Following clause subsumed by 106 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)).
% 1.51/1.71 Following clause subsumed by 107 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)).
% 1.51/1.71 Following clause subsumed by 108 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)).
% 1.51/1.71 Following clause subsumed by 109 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)).
% 1.51/1.71 Following clause subsumed by 105 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)).
% 1.51/1.71 Following clause subsumed by 106 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)).
% 1.51/1.71 Following clause subsumed by 107 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)).
% 1.51/1.71 Following clause subsumed by 108 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)).
% 1.51/1.71 Following clause subsumed by 109 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)).
% 1.51/1.71 Following clause subsumed by 110 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)).
% 1.51/1.71 Following clause subsumed by 111 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)).
% 1.51/1.71 Following clause subsumed by 112 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)).
% 1.51/1.71 Following clause subsumed by 113 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)).
% 1.51/1.71 Following clause subsumed by 114 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)).
% 1.51/1.71 Following clause subsumed by 110 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)).
% 1.51/1.71 Following clause subsumed by 111 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)).
% 1.51/1.71 Following clause subsumed by 112 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)).
% 1.51/1.71 Following clause subsumed by 113 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)).
% 1.51/1.71 Following clause subsumed by 114 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)).
% 1.51/1.71 Following clause subsumed by 126 during input processing: 0 [] {-} c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OSKIP.
% 1.51/1.71 Following clause subsumed by 84 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OWhile(A,B)),C),D),E))|E=C|hBOOL(hAPP(A,C)).
% 1.51/1.71 Following clause subsumed by 158 during input processing: 0 [] {-} hAPP(c_Set_OCollect(A),B)!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool))| -hBOOL(hAPP(B,C)).
% 1.51/1.71 Following clause subsumed by 168 during input processing: 0 [flip.1] {-} c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OSKIP.
% 1.51/1.71 Following clause subsumed by 186 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))).
% 1.51/1.71 Following clause subsumed by 191 during input processing: 0 [] {-} A!=B|hBOOL(hAPP(hAPP(c_member(C),A),D))| -hBOOL(hAPP(hAPP(c_member(C),B),D)).
% 1.51/1.71 Following clause subsumed by 181 during input processing: 0 [] {-} A!=B| -hBOOL(hAPP(hAPP(c_member(C),D),A))|hBOOL(hAPP(hAPP(c_member(C),D),B)).
% 1.51/1.71 Following clause subsumed by 180 during input processing: 0 [] {-} A!=B|hBOOL(hAPP(hAPP(c_member(C),D),A))| -hBOOL(hAPP(hAPP(c_member(C),D),B)).
% 1.51/1.71 Following clause subsumed by 187 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))).
% 1.51/1.71 Following clause subsumed by 188 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))).
% 1.51/1.71 Following clause subsumed by 189 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)).
% 1.51/1.71 Following clause subsumed by 188 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)).
% 1.51/1.71 Following clause subsumed by 187 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)).
% 1.51/1.71 Following clause subsumed by 186 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).
% 1.51/1.71 Following clause subsumed by 182 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(A),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool)))).
% 1.51/1.71 Following clause subsumed by 226 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(A),B),C))|C!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool)).
% 1.51/1.71 Following clause subsumed by 226 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(A),B),C))|C!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool)).
% 1.51/1.71 Following clause subsumed by 183 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))).
% 1.51/1.71 Following clause subsumed by 185 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)).
% 1.51/1.71 Following clause subsumed by 184 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_member(A),B),hAPP(hAPP(c_Set_Oinsert(A),C),D)))|B!=C.
% 1.51/1.71 Following clause subsumed by 183 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)).
% 1.51/1.71 Following clause subsumed by 190 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_member(A),B),hAPP(c_Set_OCollect(A),C)))| -hBOOL(hAPP(C,B)).
% 1.51/1.71 Following clause subsumed by 232 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(A),B),hAPP(c_Set_OCollect(A),C)))|hBOOL(hAPP(C,B)).
% 1.51/1.71 Following clause subsumed by 232 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(A),B),hAPP(c_Set_OCollect(A),C)))|hBOOL(hAPP(C,B)).
% 1.51/1.71 Following clause subsumed by 233 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).
% 1.51/1.71 Following clause subsumed by 234 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.
% 1.51/1.71 Following clause subsumed by 184 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.
% 1.51/1.71 Following clause subsumed by 182 during input processing: 0 [unit_del,242] {-} -hBOOL(hAPP(hAPP(c_member(A),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool)))).
% 1.51/1.71 Following clause subsumed by 238 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)).
% 1.51/1.71 Following clause subsumed by 252 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)).
% 1.51/1.71 Following clause subsumed by 254 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)).
% 1.51/1.71 Following clause subsumed by 256 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).
% 1.51/1.71 Following clause subsumed by 258 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).
% 1.51/1.71 Following clause subsumed by 260 during input processing: 0 [] {-} -class_Lattices_Osemilattice__sup(A)|hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(A),B),B)=B.
% 1.51/1.71 Following clause subsumed by 236 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)).
% 1.51/1.71 Following clause subsumed by 237 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)).
% 1.51/1.71 Following clause subsumed by 266 during input processing: 0 [] {-} hAPP(c_Nat_OSuc,A)!=hAPP(c_Nat_OSuc,B)|A=B.
% 1.51/1.71 Following clause subsumed by 268 during input processing: 0 [flip.1] {-} hAPP(c_Nat_OSuc,A)!=A.
% 1.51/1.71 Following clause subsumed by 273 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)).
% 1.51/1.71 Following clause subsumed by 272 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)).
% 1.51/1.71 Following clause subsumed by 279 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)).
% 1.51/1.71 Following clause subsumed by 280 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)).
% 1.51/1.71 Following clause subsumed by 282 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)).
% 1.51/1.71 Following clause subsumed by 284 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).
% 1.51/1.71 Following clause subsumed by 286 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).
% 1.51/1.71 Following clause subsumed by 288 during input processing: 0 [] {-} -class_Lattices_Osemilattice__inf(A)|hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(A),B),B)=B.
% 1.51/1.71 Following clause subsumed by 303 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)).
% 1.51/1.71 Following clause subsumed by 302 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)).
% 1.51/1.71 Following clause subsumed by 276 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)).
% 1.51/1.71 Following clause subsumed by 275 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)).
% 1.51/1.71 Following clause subsumed by 275 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)).
% 1.51/1.71 Following clause subsumed by 276 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)).
% 1.51/1.71 Following clause subsumed by 277 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)).
% 1.51/1.72 Following clause subsumed by 307 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)).
% 1.51/1.72 Following clause subsumed by 308 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)).
% 1.51/1.72 Following clause subsumed by 275 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)).
% 1.51/1.72 Following clause subsumed by 303 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)).
% 1.51/1.72 Following clause subsumed by 320 during input processing: 0 [] {-} c_Fun_Obij__betw(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)))| -c_Fun_Oinj__on(A,B,C,c_Orderings_Otop__class_Otop(tc_fun(A,tc_HOL_Obool)))|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)).
% 1.51/1.72 Following clause subsumed by 327 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.
% 1.51/1.72 Following clause subsumed by 321 during input processing: 0 [] {-} -c_Fun_Obij__betw(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)))|c_Fun_Oinj__on(A,B,C,c_Orderings_Otop__class_Otop(tc_fun(A,tc_HOL_Obool))).
% 1.51/1.72 Following clause subsumed by 329 during input processing: 0 [] {-} -c_Fun_Obij__betw(A,B,C,D,E)|c_Fun_Oinj__on(A,B,C,D).
% 1.51/1.72 Following clause subsumed by 333 during input processing: 0 [] {-} -c_Fun_Obij__betw(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_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)).
% 1.51/1.72 Following clause subsumed by 193 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)).
% 1.51/1.72 Following clause subsumed by 324 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).
% 1.51/1.72 Following clause subsumed by 324 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.
% 1.51/1.72 Following clause subsumed by 324 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.
% 1.51/1.72 Following clause subsumed by 355 during input processing: 0 [] {-} -c_Fun_Obij__betw(A,B,C,D,E)| -c_Fun_Obij__betw(B,F,G,E,H)|c_Fun_Obij__betw(A,F,hAPP(c_Fun_Ocomp(B,F,A,G),C),D,H).
% 1.51/1.72 Following clause subsumed by 369 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).
% 1.51/1.72 Following clause subsumed by 413 during input processing: 0 [] {-} -hBOOL(hAPP(A,B))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(C,tc_HOL_Obool)),A),D))|hBOOL(hAPP(D,B)).
% 1.51/1.72 Following clause subsumed by 412 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)).
% 1.51/1.72 Following clause subsumed by 414 during input processing: 0 [] {-} -class_Lattices_Oboolean__algebra(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(c_Groups_Ouminus__class_Ouminus(A),B)),hAPP(c_Groups_Ouminus__class_Ouminus(A),C)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),C),B)).
% 1.51/1.72 Following clause subsumed by 411 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)).
% 1.51/1.72 Following clause subsumed by 426 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.
% 1.51/1.72 Following clause subsumed by 426 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.
% 1.51/1.72 Following clause subsumed by 420 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))).
% 1.51/1.72 Following clause subsumed by 422 during input processing: 0 [] {-} A!=B|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(C,tc_HOL_Obool)),B),A)).
% 1.51/1.72 Following clause subsumed by 421 during input processing: 0 [] {-} A!=B|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(C,tc_HOL_Obool)),A),B)).
% 1.51/1.72 Following clause subsumed by 434 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)).
% 1.51/1.72 Following clause subsumed by 426 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__eq(A),C),B)).
% 1.51/1.72 Following clause subsumed by 421 during input processing: 0 [] {-} A!=B|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(C,tc_HOL_Obool)),A),B)).
% 1.51/1.72 Following clause subsumed by 422 during input processing: 0 [] {-} A!=B|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(C,tc_HOL_Obool)),B),A)).
% 1.51/1.72 Following clause subsumed by 400 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)).
% 1.51/1.72 Following clause subsumed by 419 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)).
% 1.51/1.72 Following clause subsumed by 420 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))).
% 1.51/1.72 Following clause subsumed by 442 during input processing: 0 [] {-} c_Fun_Ofun__upd(A,B,C,D,E)=C|hAPP(C,D)!=E.
% 1.51/1.72 Following clause subsumed by 443 during input processing: 0 [] {-} A!=B|hAPP(c_Fun_Ofun__upd(C,D,E,B,F),A)=F.
% 1.51/1.72 Following clause subsumed by 454 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)).
% 1.51/1.72 Following clause subsumed by 454 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)).
% 1.51/1.72 Following clause subsumed by 403 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)).
% 1.51/1.72 Following clause subsumed by 402 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)).
% 1.51/1.72 Following clause subsumed by 402 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)).
% 1.51/1.72 Following clause subsumed by 403 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)).
% 1.51/1.72 Following clause subsumed by 404 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)).
% 1.51/1.72 Following clause subsumed by 401 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)).
% 1.51/1.72 Following clause subsumed by 401 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)).
% 1.51/1.72 Following clause subsumed by 401 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)).
% 1.51/1.72 Following clause subsumed by 421 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)).
% 1.51/1.72 Following clause subsumed by 463 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.
% 1.51/1.72 Following clause subsumed by 467 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)).
% 1.51/1.72 Following clause subsumed by 467 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)).
% 1.51/1.72 Following clause subsumed by 465 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)).
% 1.51/1.72 Following clause subsumed by 466 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)).
% 1.51/1.72 Following clause subsumed by 475 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))).
% 1.51/1.72 Following clause subsumed by 472 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)).
% 1.51/1.72 Following clause subsumed by 473 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)).
% 1.51/1.72 Following clause subsumed by 475 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)).
% 1.51/1.72 Following clause subsumed by 477 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.
% 1.51/1.72 Following clause subsumed by 496 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.
% 1.51/1.72 Following clause subsumed by 487 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)).
% 1.51/1.72 Following clause subsumed by 507 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)).
% 1.51/1.73 Following clause subsumed by 487 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)).
% 1.51/1.73 Following clause subsumed by 523 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).
% 1.51/1.73 Following clause subsumed by 509 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),hAPP(hAPP(c_Set_Oinsert(A),B),D)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool)),C),D)).
% 1.51/1.73 Following clause subsumed by 487 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),hAPP(hAPP(c_Set_Oinsert(A),B),D)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool)),C),D)).
% 1.51/1.73 Following clause subsumed by 406 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)).
% 1.51/1.73 Following clause subsumed by 535 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)).
% 1.51/1.73 Following clause subsumed by 488 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)).
% 1.51/1.73 Following clause subsumed by 355 during input processing: 0 [] {-} -c_Fun_Obij__betw(A,B,C,D,E)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool)),hAPP(c_Set_Oimage(F,A,G),H)),D))| -c_Fun_Obij__betw(F,A,G,H,D)|c_Fun_Obij__betw(F,B,hAPP(c_Fun_Ocomp(A,B,F,C),G),H,E).
% 1.51/1.73 Following clause subsumed by 549 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))).
% 1.51/1.73 Following clause subsumed by 550 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)).
% 1.51/1.73 Following clause subsumed by 552 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))).
% 1.51/1.73 Following clause subsumed by 569 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.
% 1.51/1.73 Following clause subsumed by 570 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),C))|B!=C.
% 1.51/1.73 Following clause subsumed by 569 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)).
% 1.51/1.73 Following clause subsumed by 569 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.
% 1.51/1.73 Following clause subsumed by 570 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.
% 1.51/1.73 Following clause subsumed by 569 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)).
% 1.51/1.73 Following clause subsumed by 574 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)).
% 1.51/1.73 Following clause subsumed by 573 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),C))|B!=C.
% 1.51/1.73 Following clause subsumed by 574 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)).
% 1.51/1.73 Following clause subsumed by 574 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)).
% 1.51/1.73 Following clause subsumed by 569 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)).
% 1.51/1.73 Following clause subsumed by 585 during input processing: 0 [] {-} -class_Enum_Oenum(A)| -hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(A),B))|hBOOL(hAPP(B,C)).
% 1.51/1.73 Following clause subsumed by 591 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)).
% 1.51/1.73 Following clause subsumed by 592 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))).
% 1.51/1.73 Following clause subsumed by 596 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)).
% 1.51/1.73 Following clause subsumed by 597 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)).
% 1.51/1.73 Following clause subsumed by 596 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)).
% 1.51/1.73 Following clause subsumed by 573 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),C))|B!=C.
% 1.51/1.73 Following clause subsumed by 599 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.
% 1.51/1.73 Following clause subsumed by 598 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)).
% 1.51/1.73 Following clause subsumed by 439 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),C))|B!=C.
% 1.51/1.73 Following clause subsumed by 596 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)).
% 1.51/1.73 Following clause subsumed by 596 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)).
% 1.51/1.73 Following clause subsumed by 599 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)).
% 1.51/1.73 Following clause subsumed by 597 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)).
% 1.51/1.73 Following clause subsumed by 600 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)).
% 1.51/1.73 Following clause subsumed by 603 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.
% 1.51/1.73 Following clause subsumed by 570 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.
% 1.51/1.73 Following clause subsumed by 599 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.
% 1.51/1.73 Following clause subsumed by 599 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),C))|B=C|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),C)).
% 1.51/1.73 Following clause subsumed by 605 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),C))|C=B|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),C)).
% 1.51/1.73 Following clause subsumed by 618 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))|B=C.
% 1.51/1.73 Following clause subsumed by 616 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)).
% 1.51/1.73 Following clause subsumed by 421 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool)),B),C))|B!=C.
% 1.51/1.73 Following clause subsumed by 616 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)).
% 1.51/1.73 Following clause subsumed by 622 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).
% 1.51/1.73 Following clause subsumed by 623 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)).
% 1.51/1.73 Following clause subsumed by 635 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.
% 1.51/1.73 Following clause subsumed by 636 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).
% 1.51/1.73 Following clause subsumed by 653 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)).
% 1.51/1.73 Following clause subsumed by 653 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)).
% 1.51/1.73 Following clause subsumed by 654 during input processing: 0 [] {-} A!=B|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),A),B)).
% 1.51/1.73 Following clause subsumed by 666 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.
% 1.51/1.73 Following clause subsumed by 653 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)).
% 1.51/1.73 Following clause subsumed by 654 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),A),B))|A!=B.
% 1.51/1.73 Following clause subsumed by 653 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)).
% 1.51/1.73 Following clause subsumed by 666 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.
% 1.51/1.73 Following clause subsumed by 672 during input processing: 0 [] {-} -class_Enum_Oenum(A)|hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(A),B))| -hBOOL(hAPP(B,C)).
% 1.51/1.73 Following clause subsumed by 652 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)).
% 1.51/1.73 Following clause subsumed by 676 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.
% 1.51/1.73 Following clause subsumed by 678 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.
% 1.51/1.73 Following clause subsumed by 677 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))).
% 1.51/1.73 Following clause subsumed by 676 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.
% 1.51/1.73 Following clause subsumed by 679 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)).
% 1.51/1.73 Following clause subsumed by 685 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)).
% 1.51/1.73 Following clause subsumed by 684 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)).
% 1.51/1.73 Following clause subsumed by 687 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),hAPP(c_Nat_OSuc,B))).
% 1.51/1.73 Following clause subsumed by 684 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)).
% 1.51/1.73 Following clause subsumed by 678 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.
% 1.51/1.73 Following clause subsumed by 685 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)).
% 1.51/1.73 Following clause subsumed by 697 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.
% 1.51/1.75 Following clause subsumed by 689 during input processing: 0 [] {-} -c_Fun_Obij__betw(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)))|c_Fun_Obij__betw(B,A,c_Hilbert__Choice_Oinv__into(A,B,c_Orderings_Otop__class_Otop(tc_fun(A,tc_HOL_Obool)),C),c_Orderings_Otop__class_Otop(tc_fun(B,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(A,tc_HOL_Obool))).
% 1.51/1.75 Following clause subsumed by 706 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.
% 1.51/1.75 Following clause subsumed by 726 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).
% 1.51/1.75 Following clause subsumed by 671 during input processing: 0 [] {-} A!=B| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),B)).
% 1.51/1.75 Following clause subsumed by 730 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),A)).
% 1.51/1.75 Following clause subsumed by 731 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),B))|B!=A.
% 1.51/1.75 Following clause subsumed by 671 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),B))|A!=B.
% 1.51/1.75 Following clause subsumed by 762 during input processing: 0 [] {-} -class_Finite__Set_Ofinite(A)|hBOOL(hAPP(c_Finite__Set_Ofinite(A),B)).
% 1.51/1.75 Following clause subsumed by 761 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)).
% 1.51/1.75 Following clause subsumed by 768 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool)),B),C))| -hBOOL(hAPP(c_Finite__Set_Ofinite(A),C))|hBOOL(hAPP(c_Finite__Set_Ofinite(A),B)).
% 1.51/1.75 Following clause subsumed by 762 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)))).
% 1.51/1.75 Following clause subsumed by 777 during input processing: 0 [] {-} -hBOOL(hAPP(c_Finite__Set_Ofinite(A),B))| -hBOOL(hAPP(c_Finite__Set_Ofinite(A),C))|hBOOL(hAPP(c_Finite__Set_Ofinite(A),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool)),B),C))).
% 1.51/1.75 Following clause subsumed by 757 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)).
% 1.51/1.75 Following clause subsumed by 872 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)).
% 1.51/1.75 Following clause subsumed by 874 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)).
% 1.51/1.75 Following clause subsumed by 900 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)).
% 1.51/1.75 Following clause subsumed by 902 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)).
% 1.51/1.75 Following clause subsumed by 783 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))).
% 1.51/1.75 Following clause subsumed by 932 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).
% 1.51/1.75 Following clause subsumed by 940 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.
% 1.51/1.75 Following clause subsumed by 942 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.
% 1.51/1.75 Following clause subsumed by 946 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)).
% 1.51/1.75 Following clause subsumed by 948 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)).
% 1.51/1.75 Following clause subsumed by 953 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)).
% 1.51/1.75 Following clause subsumed by 955 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)).
% 1.51/1.75 Following clause subsumed by 967 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))).
% 1.51/1.75 Following clause subsumed by 968 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))).
% 1.51/1.75 Following clause subsumed by 980 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)).
% 1.51/1.76 Following clause subsumed by 981 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)).
% 1.51/1.76 Following clause subsumed by 978 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))).
% 1.51/1.76 Following clause subsumed by 979 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))).
% 1.51/1.76 Following clause subsumed by 989 during input processing: 0 [flip.3] {-} -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)).
% 1.51/1.76 Following clause subsumed by 977 during input processing: 0 [] {-} -hBOOL(hAPP(c_Finite__Set_Ofinite(A),B))| -hBOOL(hAPP(c_Finite__Set_Ofinite(C),D))| -c_Fun_Obij__betw(A,C,E,B,D)|hAPP(c_Finite__Set_Ocard(A),B)=hAPP(c_Finite__Set_Ocard(C),D).
% 1.51/1.76 Following clause subsumed by 1009 during input processing: 0 [flip.2] {-} -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)).
% 1.51/1.76 Following clause subsumed by 990 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)).
% 1.51/1.76 Following clause subsumed by 995 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).
% 1.51/1.76 Following clause subsumed by 1026 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).
% 1.51/1.76 Following clause subsumed by 1031 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)).
% 1.51/1.76 Following clause subsumed by 1038 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)).
% 1.51/1.76 Following clause subsumed by 1057 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)).
% 1.51/1.77 Following clause subsumed by 1084 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).
% 1.51/1.77 Following clause subsumed by 1105 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).
% 1.51/1.77 Following clause subsumed by 1106 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).
% 1.51/1.77 Following clause subsumed by 1112 during input processing: 0 [] {-} hAPP(c_Nat_OSuc,A)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 1.51/1.77 Following clause subsumed by 1112 during input processing: 0 [] {-} hAPP(c_Nat_OSuc,A)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 1.51/1.77 Following clause subsumed by 1113 during input processing: 0 [] {-} c_Groups_Ozero__class_Ozero(tc_Nat_Onat)!=hAPP(c_Nat_OSuc,A).
% 1.51/1.77 Following clause subsumed by 1113 during input processing: 0 [] {-} c_Groups_Ozero__class_Ozero(tc_Nat_Onat)!=hAPP(c_Nat_OSuc,A).
% 1.51/1.77 Following clause subsumed by 1065 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 1.51/1.77 Following clause subsumed by 731 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)).
% 1.51/1.77 Following clause subsumed by 1065 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 1.51/1.77 Following clause subsumed by 968 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)).
% 1.51/1.77 Following clause subsumed by 967 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)).
% 1.51/1.77 Following clause subsumed by 654 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).
% 1.51/1.77 Following clause subsumed by 1130 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)),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.
% 1.51/1.77 Following clause subsumed by 1179 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).
% 1.51/1.77 Following clause subsumed by 1180 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).
% 1.51/1.77 Following clause subsumed by 1184 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).
% 1.51/1.77 Following clause subsumed by 1193 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))).
% 1.60/1.78 Following clause subsumed by 1194 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)).
% 1.60/1.78 Following clause subsumed by 1204 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),A),B)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 1.60/1.78 Following clause subsumed by 1218 during input processing: 0 [flip.2] {-} -class_Rings_Ocomm__semiring__1(A)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),C)),D)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),C),D)).
% 1.60/1.78 Following clause subsumed by 1223 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)).
% 1.60/1.78 Following clause subsumed by 1180 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).
% 1.60/1.78 Following clause subsumed by 1248 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).
% 1.60/1.78 Following clause subsumed by 1055 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.
% 1.60/1.78 Following clause subsumed by 1265 during input processing: 0 [] {-} -class_Rings_Ozero__neq__one(A)|c_Groups_Ozero__class_Ozero(A)!=c_Groups_Oone__class_Oone(A).
% 1.60/1.78 Following clause subsumed by 1312 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)).
% 1.60/1.78 Following clause subsumed by 1311 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)).
% 1.60/1.78 Following clause subsumed by 1313 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))| -hBOOL(hAPP(c_Finite__Set_Ofinite(B),D)).
% 1.60/1.78 Following clause subsumed by 1306 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)).
% 1.60/1.78 Following clause subsumed by 1329 during input processing: 0 [flip.2] {-} -class_Rings_Ocomm__semiring__1(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)),D)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),D)).
% 1.60/1.78 Following clause subsumed by 1334 during input processing: 0 [] {-} -class_Lattices_Oab__semigroup__idem__mult(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),B)=B.
% 1.60/1.78 Following clause subsumed by 1335 during input processing: 0 [] {-} -class_Rings_Ono__zero__divisors(A)|B=c_Groups_Ozero__class_Ozero(A)|C=c_Groups_Ozero__class_Ozero(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)!=c_Groups_Ozero__class_Ozero(A).
% 1.60/1.78 Following clause subsumed by 1346 during input processing: 0 [] {-} -class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(A)|B=C|D=E|hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),E))!=hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),E)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),D)).
% 1.60/1.78 Following clause subsumed by 1347 during input processing: 0 [] {-} -class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(A)|B!=C|hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),E))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),E)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),D)).
% 1.60/1.78 Following clause subsumed by 1348 during input processing: 0 [] {-} -class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(A)|B!=C|hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),B)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),E),C))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),C)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),E),B)).
% 1.60/1.78 Following clause subsumed by 1363 during input processing: 0 [] {-} 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)|B!=C.
% 1.60/1.78 Following clause subsumed by 1380 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).
% 1.60/1.78 Following clause subsumed by 1381 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).
% 1.60/1.78 Following clause subsumed by 1382 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).
% 1.60/1.78 Following clause subsumed by 1390 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))).
% 1.60/1.78 Following clause subsumed by 1388 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))).
% 1.60/1.78 Following clause subsumed by 1388 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))).
% 1.60/1.78 Following clause subsumed by 1387 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))).
% 1.60/1.78 Following clause subsumed by 1412 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)).
% 1.60/1.79 Following clause subsumed by 1418 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))).
% 1.60/1.79 Following clause subsumed by 1425 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)).
% 1.60/1.79 Following clause subsumed by 1412 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)).
% 1.60/1.79 Following clause subsumed by 1413 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)).
% 1.60/1.79 Following clause subsumed by 1464 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),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),C))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),C)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),B),C))).
% 1.60/1.79 Following clause subsumed by 1461 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),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),C))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),C),A)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),C),B))).
% 1.60/1.79 Following clause subsumed by 1460 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),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(tc_Nat_Onat),B),C)).
% 1.60/1.79 Following clause subsumed by 1378 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)).
% 1.60/1.79 Following clause subsumed by 1378 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)).
% 1.60/1.79 Following clause subsumed by 1379 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)).
% 1.60/1.79 Following clause subsumed by 1366 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).
% 1.60/1.79 Following clause subsumed by 1362 during input processing: 0 [] {-} hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B)!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),C)|A=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|B=C.
% 1.60/1.80 Following clause subsumed by 1364 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).
% 1.60/1.80 Following clause subsumed by 1363 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.
% 1.60/1.80 Following clause subsumed by 1363 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.
% 1.60/1.80 Following clause subsumed by 1460 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)).
% 1.60/1.80 Following clause subsumed by 1461 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)).
% 1.60/1.80 Following clause subsumed by 1508 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)).
% 1.60/1.80 Following clause subsumed by 1378 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)).
% 1.60/1.80 Following clause subsumed by 1540 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))).
% 1.60/1.80 Following clause subsumed by 1563 during input processing: 0 [] {-} -class_Rings_Olinordered__idom(A)|c_Groups_Osgn__class_Osgn(A,B)=c_Groups_Oone__class_Oone(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),B)).
% 1.60/1.80 Following clause subsumed by 1574 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hAPP(hAPP(c_Orderings_Oord__class_Omin(A),B),B)=B.
% 1.60/1.80 Following clause subsumed by 1577 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).
% 1.60/1.80 Following clause subsumed by 1578 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).
% 1.60/1.80 Following clause subsumed by 1579 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)).
% 1.60/1.80 Following clause subsumed by 1580 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)).
% 1.60/1.80 Following clause subsumed by 1586 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),hAPP(hAPP(c_Orderings_Oord__class_Omin(A),B),D)),C)).
% 1.60/1.80 Following clause subsumed by 1587 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),hAPP(hAPP(c_Orderings_Oord__class_Omin(A),D),B)),C)).
% 1.60/1.80 Following clause subsumed by 1590 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.
% 1.60/1.80 Following clause subsumed by 1594 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))).
% 1.60/1.80 Following clause subsumed by 1594 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))).
% 1.60/1.80 Following clause subsumed by 1592 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)).
% 1.60/1.80 Following clause subsumed by 1593 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)).
% 1.60/1.80 Following clause subsumed by 1601 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)).
% 1.60/1.80 Following clause subsumed by 1602 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)).
% 1.60/1.80 Following clause subsumed by 1631 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))).
% 1.60/1.80 Following clause subsumed by 1638 during input processing: 0 [] {-} -class_Rings_Olinordered__semidom(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B),C))|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))).
% 1.60/1.80 Following clause subsumed by 1637 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)).
% 1.60/1.80 Following clause subsumed by 1691 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)).
% 1.63/1.82 Following clause subsumed by 1694 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)).
% 1.63/1.82 Following clause subsumed by 1743 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),A),B))|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)).
% 1.63/1.82 Following clause subsumed by 1733 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.
% 1.63/1.82 Following clause subsumed by 1734 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.
% 1.63/1.82 Following clause subsumed by 488 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))).
% 1.63/1.82 Following clause subsumed by 193 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))).
% 1.63/1.82 Following clause subsumed by 760 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))).
% 1.63/1.82 Following clause subsumed by 1621 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)).
% 1.63/1.82 Following clause subsumed by 1622 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)).
% 1.63/1.82 Following clause subsumed by 1623 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)).
% 1.63/1.82 Following clause subsumed by 1624 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)).
% 1.63/1.82 Following clause subsumed by 1229 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),$f171(B,A)),$f170(B,A))),hAPP(hAPP(c_Set_Oinsert(A),$f171(B,A)),hAPP(hAPP(c_Set_Oinsert(A),$f170(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)).
% 1.63/1.82 Following clause subsumed by 1870 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.
% 1.63/1.83 Following clause subsumed by 1869 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.
% 1.63/1.83 Following clause subsumed by 1856 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).
% 1.63/1.83 Following clause subsumed by 1928 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)).
% 1.63/1.83 Following clause subsumed by 1931 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)).
% 1.63/1.83 Following clause subsumed by 1955 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hAPP(hAPP(c_Orderings_Oord__class_Omax(A),B),B)=B.
% 1.63/1.83 Following clause subsumed by 1956 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).
% 1.63/1.83 Following clause subsumed by 1957 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).
% 1.63/1.83 Following clause subsumed by 1958 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)).
% 1.63/1.83 Following clause subsumed by 1959 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)).
% 1.63/1.83 Following clause subsumed by 1963 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),hAPP(hAPP(c_Orderings_Oord__class_Omax(A),C),D))).
% 1.63/1.83 Following clause subsumed by 1964 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),hAPP(hAPP(c_Orderings_Oord__class_Omax(A),D),C))).
% 1.63/1.83 Following clause subsumed by 1967 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.
% 1.63/1.83 Following clause subsumed by 1971 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)).
% 1.65/1.83 Following clause subsumed by 1971 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)).
% 1.65/1.83 Following clause subsumed by 1969 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)).
% 1.65/1.83 Following clause subsumed by 1970 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)).
% 1.65/1.83 Following clause subsumed by 1975 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))).
% 1.65/1.83 Following clause subsumed by 1976 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))).
% 1.65/1.83 Following clause subsumed by 2003 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)).
% 1.65/1.83 Following clause subsumed by 2007 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)).
% 1.65/1.83 Following clause subsumed by 1228 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),$f180(B,A)),$f179(B,A))),hAPP(hAPP(c_Set_Oinsert(A),$f180(B,A)),hAPP(hAPP(c_Set_Oinsert(A),$f179(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)).
% 1.65/1.83 Following clause subsumed by 2040 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)).
% 1.65/1.84 Following clause subsumed by 2044 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)).
% 1.65/1.84 Following clause subsumed by 2073 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.
% 1.65/1.84 Following clause subsumed by 2074 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.
% 1.65/1.84 Following clause subsumed by 2081 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),A),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|hAPP(c_Int_Onat,A)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 1.65/1.84 Following clause subsumed by 2083 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_Nat_Onat),hAPP(c_Int_Onat,B)),hAPP(c_Int_Onat,A)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B),A)).
% 1.65/1.84 Following clause subsumed by 2084 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_Nat_Onat),hAPP(c_Int_Onat,B)),hAPP(c_Int_Onat,A)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B),A)).
% 1.65/1.84 Following clause subsumed by 2087 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.
% 1.65/1.84 Following clause subsumed by 2083 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)).
% 1.65/1.84 Following clause subsumed by 2083 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)).
% 1.65/1.84 Following clause subsumed by 2097 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)).
% 1.65/1.84 Following clause subsumed by 2119 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)).
% 1.65/1.84 Following clause subsumed by 2121 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)).
% 1.65/1.87 Following clause subsumed by 193 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))).
% 1.65/1.87 Following clause subsumed by 2155 during input processing: 0 [] {-} -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).
% 1.65/1.87 Following clause subsumed by 2157 during input processing: 0 [] {-} -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).
% 1.65/1.87 Following clause subsumed by 2172 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)).
% 1.65/1.87 Following clause subsumed by 760 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))).
% 1.65/1.87 Following clause subsumed by 488 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))).
% 1.65/1.87 Following clause subsumed by 2224 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)).
% 1.65/1.87 Following clause subsumed by 2253 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)).
% 1.65/1.87 Following clause subsumed by 2252 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)).
% 1.65/1.87 Following clause subsumed by 2350 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)).
% 1.65/1.87 Following clause subsumed by 2365 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))).
% 1.65/1.87 Following clause subsumed by 2405 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)).
% 1.65/1.87 Following clause subsumed by 2429 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).
% 1.65/1.87 Following clause subsumed by 2430 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).
% 1.65/1.88 Following clause subsumed by 2419 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)).
% 1.65/1.88 Following clause subsumed by 2446 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)).
% 1.65/1.88 Following clause subsumed by 2447 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)).
% 1.65/1.88 Following clause subsumed by 2451 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).
% 1.65/1.88 Following clause subsumed by 2430 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).
% 1.65/1.88 Following clause subsumed by 2453 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)).
% 1.65/1.88 Following clause subsumed by 2477 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(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)).
% 1.65/1.88 Following clause subsumed by 2480 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).
% 1.65/1.88 Following clause subsumed by 2479 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.
% 1.65/1.88 Following clause subsumed by 2493 during input processing: 0 [] {-} -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)).
% 1.65/1.90 Following clause subsumed by 2560 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)).
% 1.65/1.90 Following clause subsumed by 2559 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)).
% 1.65/1.90 Following clause subsumed by 2510 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)).
% 1.65/1.90 Following clause subsumed by 2677 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_Groups_Otimes__class_Otimes(A),D),B)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),C),B)),D)).
% 1.65/1.90 Following clause subsumed by 2675 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_Groups_Otimes__class_Otimes(A),C),B)),D))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),C),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),D),B))).
% 1.65/1.90 Following clause subsumed by 2590 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),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),B)),D))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),C),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),D),B))).
% 1.65/1.90 Following clause subsumed by 2592 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)).
% 1.65/1.90 Following clause subsumed by 2715 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),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),B),A)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 1.65/1.90 Following clause subsumed by 2720 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).
% 1.65/1.90 Following clause subsumed by 2735 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_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),A),B)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B),A))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B)).
% 1.65/1.91 Following clause subsumed by 2730 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_Int_Oint),A),B))|hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),A),B)=c_Groups_Ozero__class_Ozero(tc_Int_Oint).
% 1.65/1.91 Following clause subsumed by 2731 during input processing: 0 [] {-} -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))|hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),A),B)=c_Groups_Ozero__class_Ozero(tc_Int_Oint).
% 1.65/1.91 Following clause subsumed by 2812 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).
% 1.65/1.91 Following clause subsumed by 2820 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).
% 1.65/1.91 Following clause subsumed by 2830 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)).
% 1.65/1.91 Following clause subsumed by 2824 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))).
% 1.65/1.91 Following clause subsumed by 2865 during input processing: 0 [] {-} -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,C)),D),C)=c_Divides_Odiv__class_Omod(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D),C).
% 1.65/1.91 Following clause subsumed by 2876 during input processing: 0 [] {-} -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).
% 1.65/1.91 Following clause subsumed by 2878 during input processing: 0 [] {-} -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,C)),D),C)=c_Divides_Odiv__class_Omod(A,hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),D),C).
% 1.65/1.91 Following clause subsumed by 2909 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))).
% 1.65/1.91 Following clause subsumed by 2898 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)).
% 1.65/1.91 Following clause subsumed by 2911 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))).
% 1.65/1.91 Following clause subsumed by 2897 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))).
% 1.75/1.93 Following clause subsumed by 2903 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).
% 1.75/1.93 Following clause subsumed by 2902 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).
% 1.75/1.93 Following clause subsumed by 2984 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.
% 1.75/1.93 Following clause subsumed by 3009 during input processing: 0 [flip.3] {-} -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)).
% 1.75/1.93 Following clause subsumed by 1130 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).
% 1.75/1.93 Following clause subsumed by 597 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))).
% 1.75/1.93 Following clause subsumed by 596 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))).
% 1.75/1.93 Following clause subsumed by 3060 during input processing: 0 [flip.2] {-} -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)).
% 1.75/1.93 Following clause subsumed by 3062 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)).
% 1.75/1.93 Following clause subsumed by 3068 during input processing: 0 [] {-} -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)).
% 1.75/1.93 Following clause subsumed by 2631 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.
% 1.75/1.93 Following clause subsumed by 2632 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).
% 1.75/1.93 Following clause subsumed by 2633 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).
% 1.75/1.93 Following clause subsumed by 2634 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).
% 1.75/1.93 Following clause subsumed by 2635 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).
% 1.75/1.93 Following clause subsumed by 2631 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.
% 1.75/1.93 Following clause subsumed by 2632 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).
% 1.75/1.93 Following clause subsumed by 2633 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).
% 1.75/1.93 Following clause subsumed by 2634 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).
% 1.75/1.93 Following clause subsumed by 2635 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).
% 1.75/1.93 Following clause subsumed by 2636 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).
% 1.75/1.93 Following clause subsumed by 2637 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).
% 1.75/1.93 Following clause subsumed by 2638 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).
% 1.75/1.93 Following clause subsumed by 2639 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).
% 1.75/1.93 Following clause subsumed by 2640 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).
% 1.75/1.93 Following clause subsumed by 2636 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)).
% 1.75/1.93 Following clause subsumed by 2637 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).
% 1.75/1.93 Following clause subsumed by 2638 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).
% 1.75/1.93 Following clause subsumed by 2639 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).
% 1.75/1.93 Following clause subsumed by 2640 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).
% 1.75/1.93 Following clause subsumed by 2654 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)).
% 1.75/1.93 Following clause subsumed by 2655 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)))).
% 1.75/1.93 Following clause subsumed by 2656 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))).
% 1.75/1.93 Following clause subsumed by 2657 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))).
% 1.75/1.93 Following clause subsumed by 2658 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))).
% 1.75/1.93 Following clause subsumed by 2659 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))).
% 1.75/1.93 Following clause subsumed by 2660 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))).
% 1.75/1.93 Following clause subsumed by 2661 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))).
% 1.75/1.93 Following clause subsumed by 2662 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))).
% 1.75/1.93 Following clause subsumed by 2663 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))).
% 1.75/1.93 Following clause subsumed by 2654 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)).
% 1.75/1.93 Following clause subsumed by 2655 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))).
% 1.75/1.93 Following clause subsumed by 2656 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))).
% 1.75/1.93 Following clause subsumed by 2657 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))).
% 1.75/1.93 Following clause subsumed by 2658 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))).
% 1.75/1.93 Following clause subsumed by 2659 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))).
% 1.75/1.93 Following clause subsumed by 2660 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)).
% 1.75/1.93 Following clause subsumed by 2661 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))).
% 1.75/1.93 Following clause subsumed by 2662 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))).
% 1.75/1.93 Following clause subsumed by 2663 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))).
% 1.75/1.93 Following clause subsumed by 2664 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))).
% 1.75/1.93 Following clause subsumed by 2665 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)).
% 1.75/1.93 Following clause subsumed by 2666 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))).
% 1.75/1.93 Following clause subsumed by 2667 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))).
% 1.75/1.94 Following clause subsumed by 2668 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))).
% 1.75/1.94 Following clause subsumed by 2669 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))).
% 1.75/1.94 Following clause subsumed by 2670 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)).
% 1.75/1.94 Following clause subsumed by 2671 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))).
% 1.75/1.94 Following clause subsumed by 2672 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))).
% 1.75/1.94 Following clause subsumed by 2673 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))).
% 1.75/1.94 Following clause subsumed by 2664 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)))).
% 1.75/1.94 Following clause subsumed by 2665 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)).
% 1.75/1.94 Following clause subsumed by 2666 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)).
% 1.75/1.94 Following clause subsumed by 2667 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)).
% 1.75/1.94 Following clause subsumed by 2668 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))).
% 1.75/1.94 Following clause subsumed by 2669 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)).
% 1.75/1.94 Following clause subsumed by 2670 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))).
% 1.75/1.94 Following clause subsumed by 2671 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)).
% 1.75/1.94 Following clause subsumed by 2672 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))).
% 1.75/1.94 Following clause subsumed by 2673 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)).
% 1.75/1.94 Following clause subsumed by 2569 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)).
% 1.75/1.94 Following clause subsumed by 2570 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)))).
% 1.75/1.94 Following clause subsumed by 2571 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))).
% 1.75/1.94 Following clause subsumed by 2572 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))).
% 1.75/1.94 Following clause subsumed by 2573 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))).
% 1.75/1.94 Following clause subsumed by 2574 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))).
% 1.75/1.94 Following clause subsumed by 2575 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))).
% 1.75/1.94 Following clause subsumed by 2576 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))).
% 1.75/1.94 Following clause subsumed by 2577 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))).
% 1.75/1.94 Following clause subsumed by 2578 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))).
% 1.75/1.94 Following clause subsumed by 2569 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)).
% 1.75/1.94 Following clause subsumed by 2570 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))).
% 1.75/1.94 Following clause subsumed by 2571 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))).
% 1.75/1.94 Following clause subsumed by 2572 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))).
% 1.75/1.94 Following clause subsumed by 2573 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))).
% 1.75/1.94 Following clause subsumed by 2574 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))).
% 1.75/1.94 Following clause subsumed by 2575 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)).
% 1.75/1.94 Following clause subsumed by 2576 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))).
% 1.75/1.94 Following clause subsumed by 2577 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))).
% 1.75/1.94 Following clause subsumed by 2578 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))).
% 1.75/1.94 Following clause subsumed by 2579 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))).
% 1.75/1.94 Following clause subsumed by 2580 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)).
% 1.75/1.94 Following clause subsumed by 2581 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))).
% 1.75/1.94 Following clause subsumed by 2582 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))).
% 1.75/1.94 Following clause subsumed by 2583 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))).
% 1.75/1.94 Following clause subsumed by 2584 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))).
% 1.75/1.94 Following clause subsumed by 2585 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)).
% 1.75/1.94 Following clause subsumed by 2586 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))).
% 1.75/1.94 Following clause subsumed by 2587 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))).
% 1.75/1.94 Following clause subsumed by 2588 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))).
% 1.75/1.94 Following clause subsumed by 2579 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)))).
% 1.75/1.94 Following clause subsumed by 2580 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)).
% 1.75/1.94 Following clause subsumed by 2581 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)).
% 1.75/1.94 Following clause subsumed by 2582 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)).
% 1.75/1.94 Following clause subsumed by 2583 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))).
% 1.75/1.94 Following clause subsumed by 2584 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)).
% 1.75/1.94 Following clause subsumed by 2585 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))).
% 1.75/1.94 Following clause subsumed by 2586 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)).
% 1.75/1.94 Following clause subsumed by 2587 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))).
% 1.75/1.96 Following clause subsumed by 2588 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)).
% 1.75/1.96 Following clause subsumed by 2088 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)).
% 1.75/1.96 Following clause subsumed by 2089 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))).
% 1.75/1.96 Following clause subsumed by 2090 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))).
% 1.75/1.96 Following clause subsumed by 3106 during input processing: 0 [] {-} -hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),A)))|hAPP(hAPP(c_Power_Opower__class_Opower(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_Power_Opower__class_Opower(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),B)).
% 1.75/1.96 Following clause subsumed by 3110 during input processing: 0 [flip.2] {-} -class_Int_Onumber__ring(A)|hAPP(c_Int_Onumber__class_Onumber__of(A),c_Int_OPls)=c_Groups_Ozero__class_Ozero(A).
% 1.75/1.96 Following clause subsumed by 3123 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)).
% 1.75/1.96 Following clause subsumed by 3125 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)).
% 1.75/1.96 Following clause subsumed by 3177 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)).
% 1.75/1.96 Following clause subsumed by 3178 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)).
% 1.75/1.96 Following clause subsumed by 3181 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)).
% 1.75/1.96 Following clause subsumed by 3182 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)).
% 1.75/1.96 Following clause subsumed by 3183 during input processing: 0 [flip.1] {-} c_Int_OBit1(A)!=c_Int_OPls.
% 1.75/1.96 Following clause subsumed by 3200 during input processing: 0 [flip.2] {-} -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).
% 1.75/1.96 Following clause subsumed by 3205 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.
% 1.75/1.96 Following clause subsumed by 3246 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)).
% 1.75/1.97 Following clause subsumed by 3247 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)).
% 1.75/1.97 Following clause subsumed by 3250 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)).
% 1.75/1.97 Following clause subsumed by 3251 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)).
% 1.75/1.97 Following clause subsumed by 3258 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)).
% 1.75/1.97 Following clause subsumed by 3259 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)).
% 1.75/1.97 Following clause subsumed by 3264 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)).
% 1.75/1.97 Following clause subsumed by 3265 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)).
% 1.75/1.97 Following clause subsumed by 3271 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)).
% 1.75/1.97 Following clause subsumed by 3272 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)).
% 1.75/1.97 Following clause subsumed by 3273 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)).
% 1.75/1.97 Following clause subsumed by 3274 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)).
% 1.75/1.97 Following clause subsumed by 3275 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))).
% 1.75/1.97 Following clause subsumed by 2512 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).
% 1.75/1.97 Following clause subsumed by 3295 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)).
% 1.82/1.99 Following clause subsumed by 3286 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)).
% 1.82/1.99 Following clause subsumed by 2551 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)).
% 1.82/1.99 Following clause subsumed by 3354 during input processing: 0 [flip.1] {-} c_Int_OBit0(A)!=c_Int_OMin.
% 1.82/1.99 Following clause subsumed by 3356 during input processing: 0 [flip.1] {-} c_Int_OPls!=c_Int_OMin.
% 1.82/1.99 Following clause subsumed by 3381 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)).
% 1.82/1.99 Following clause subsumed by 3388 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).
% 1.82/1.99 Following clause subsumed by 3041 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).
% 1.82/1.99 Following clause subsumed by 182 during input processing: 0 [unit_del,3412] {-} -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)))).
% 1.82/1.99 Following clause subsumed by 3421 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)).
% 1.82/1.99 Following clause subsumed by 3441 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.
% 1.82/1.99 Following clause subsumed by 3439 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)))).
% 1.82/1.99 Following clause subsumed by 3444 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)).
% 1.82/1.99 Following clause subsumed by 3439 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)).
% 1.82/1.99 Following clause subsumed by 3469 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))).
% 1.82/1.99 Following clause subsumed by 3412 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(A,tc_fun(B,tc_HOL_Obool))),C),D)).
% 1.82/1.99 Following clause subsumed by 3471 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(A,B),C))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(D,tc_fun(E,tc_HOL_Obool))),A),F))|hBOOL(hAPP(hAPP(F,B),C)).
% 1.82/1.99 Following clause subsumed by 3464 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)).
% 1.82/1.99 Following clause subsumed by 3463 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)).
% 1.82/1.99 Following clause subsumed by 3466 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)).
% 1.82/1.99 Following clause subsumed by 3465 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)).
% 1.82/1.99 Following clause subsumed by 3472 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.
% 1.82/1.99 Following clause subsumed by 3473 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.
% 1.82/1.99 Following clause subsumed by 3489 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).
% 1.82/1.99 Following clause subsumed by 3489 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)).
% 1.82/2.00 Following clause subsumed by 3493 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(c_Divides_Oadjust(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(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),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)).
% 1.82/2.00 Following clause subsumed by 3499 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).
% 1.82/2.00 Following clause subsumed by 3499 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)).
% 1.82/2.00 Following clause subsumed by 3505 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(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(c_Divides_Oadjust(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(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),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)).
% 1.82/2.00 Following clause subsumed by 3517 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).
% 1.82/2.00 Following clause subsumed by 3515 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)).
% 1.82/2.00 Following clause subsumed by 3516 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).
% 1.82/2.00 Following clause subsumed by 3489 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).
% 1.82/2.00 Following clause subsumed by 3491 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).
% 1.82/2.01 Following clause subsumed by 3499 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).
% 1.82/2.01 Following clause subsumed by 3500 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).
% 1.82/2.01 Following clause subsumed by 3459 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).
% 1.82/2.01 Following clause subsumed by 3460 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)).
% 1.82/2.01 Following clause subsumed by 3461 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)).
% 1.82/2.01 Following clause subsumed by 3567 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)).
% 1.82/2.01 Following clause subsumed by 3567 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)).
% 1.82/2.01 Following clause subsumed by 2996 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.
% 1.82/2.01 Following clause subsumed by 3581 during input processing: 0 [] {-} A=B|hAPP(c_Product__Type_Ofst(C,D),A)!=hAPP(c_Product__Type_Ofst(C,D),B)|hAPP(c_Product__Type_Osnd(C,D),A)!=hAPP(c_Product__Type_Osnd(C,D),B).
% 1.82/2.01 Following clause subsumed by 3607 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))).
% 1.82/2.01 Following clause subsumed by 3617 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)).
% 1.82/2.01 Following clause subsumed by 3618 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))).
% 1.82/2.05 Following clause subsumed by 3617 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)).
% 1.82/2.05 Following clause subsumed by 3618 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))).
% 1.82/2.05 Following clause subsumed by 3651 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)).
% 1.82/2.05 Following clause subsumed by 3659 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_member(tc_prod(A,A)),hAPP(hAPP(c_Product__Type_OPair(A,A),B),C)),c_Relation_OId__on(A,D)))|B!=C| -hBOOL(hAPP(hAPP(c_member(A),B),D)).
% 1.82/2.05 Following clause subsumed by 3651 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)).
% 1.82/2.05 Following clause subsumed by 3776 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))).
% 1.82/2.05 Following clause subsumed by 3791 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)).
% 1.82/2.05 Following clause subsumed by 3790 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)).
% 1.82/2.05 Following clause subsumed by 3785 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(A,B,C,D,E),F),G))| -hBOOL(hAPP(hAPP(D,F),H))| -hBOOL(hAPP(hAPP(E,H),G)).
% 1.82/2.05 Following clause subsumed by 3801 during input processing: 0 [] {-} -c_Wellfounded_Owf(A,B)|hBOOL(hAPP(hAPP(c_member(A),C),c_Wellfounded_Oacc(A,B))).
% 1.82/2.05 Following clause subsumed by 3823 during input processing: 0 [] {-} -c_Wellfounded_OwfP(A,B)|hBOOL(hAPP(c_Wellfounded_Oaccp(A,B),C)).
% 1.82/2.05 Following clause subsumed by 3822 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)).
% 1.82/2.05 Following clause subsumed by 3837 during input processing: 0 [] {-} hBOOL(hAPP(c_Predicate_ORangeP(A,B,C),D))| -hBOOL(hAPP(hAPP(C,E),D)).
% 1.82/2.05 Following clause subsumed by 3840 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).
% 1.82/2.05 Following clause subsumed by 3841 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).
% 1.82/2.05 Following clause subsumed by 3849 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)).
% 1.82/2.05 Following clause subsumed by 3859 during input processing: 0 [] {-} hBOOL(hAPP(c_Predicate_ODomainP(A,B,C),D))| -hBOOL(hAPP(hAPP(C,D),E)).
% 1.82/2.05 Following clause subsumed by 3869 during input processing: 0 [] {-} -hBOOL(hAPP(A,B))|hBOOL(hAPP(A,c_Hilbert__Choice_OEps(C,A))).
% 1.82/2.05 Following clause subsumed by 3869 during input processing: 0 [] {-} -hBOOL(hAPP(A,B))|hBOOL(hAPP(A,c_Hilbert__Choice_OEps(C,A))).
% 1.82/2.05 Following clause subsumed by 3869 during input processing: 0 [] {-} -hBOOL(hAPP(A,B))|hBOOL(hAPP(A,c_Hilbert__Choice_OEps(C,A))).
% 1.82/2.05 Following clause subsumed by 3875 during input processing: 0 [factor_simp] {-} -hBOOL(hAPP(A,C))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(D,c_Hilbert__Choice_OLeastM(E,tc_Nat_Onat,D,A))),hAPP(D,C))).
% 1.91/2.08 Following clause subsumed by 3876 during input processing: 0 [] {-} -hBOOL(hAPP(A,B))|hBOOL(hAPP(A,c_Hilbert__Choice_OLeastM(C,tc_Nat_Onat,D,A))).
% 1.91/2.08 Following clause subsumed by 3886 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_member(tc_prod(A,A)),B),c_Transitive__Closure_Ortrancl(A,C)))| -hBOOL(hAPP(hAPP(c_member(tc_prod(A,A)),B),hAPP(hAPP(c_Nat_Ocompow(tc_prod(A,A),tc_HOL_Obool),D),C))).
% 1.91/2.08 Following clause subsumed by 3893 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_Transitive__Closure_Ortrancl(A,C)))|hBOOL(hAPP(hAPP(c_member(A),D),c_Wellfounded_Oacc(A,C))).
% 1.91/2.08 Following clause subsumed by 3906 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))).
% 1.91/2.08 Following clause subsumed by 3917 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))).
% 1.91/2.08 Following clause subsumed by 3931 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)).
% 1.91/2.08 Following clause subsumed by 3932 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)).
% 1.91/2.08 Following clause subsumed by 3960 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.
% 1.91/2.08 Following clause subsumed by 2906 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.
% 1.91/2.08 Following clause subsumed by 4025 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).
% 1.91/2.08 Following clause subsumed by 4026 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).
% 1.91/2.08 Following clause subsumed by 4027 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).
% 1.91/2.08 Following clause subsumed by 4028 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).
% 1.91/2.08 Following clause subsumed by 4029 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).
% 1.96/2.13 Following clause subsumed by 4054 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(D,F),E))| -hBOOL(hAPP(hAPP(c_member(A),F),C)).
% 1.96/2.13 Following clause subsumed by 4055 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)).
% 1.96/2.13 Following clause subsumed by 4056 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)).
% 1.96/2.13 Following clause subsumed by 4055 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))).
% 1.96/2.13 Following clause subsumed by 4101 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)).
% 1.96/2.13 Following clause subsumed by 4056 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)).
% 1.96/2.13 Following clause subsumed by 4054 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)).
% 1.96/2.13 Following clause subsumed by 4223 during input processing: 0 [flip.1] {-} hAPP(hAPP(c_List_Olist_OCons(B),C),A)!=A.
% 1.96/2.13 Following clause subsumed by 4260 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).
% 1.96/2.13 Following clause subsumed by 4248 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).
% 1.96/2.13 Following clause subsumed by 4209 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).
% 1.96/2.13 Following clause subsumed by 4284 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.
% 1.96/2.13 Following clause subsumed by 4301 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)))).
% 1.96/2.13 Following clause subsumed by 4248 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).
% 1.96/2.13 Following clause subsumed by 4209 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).
% 1.96/2.13 Following clause subsumed by 4326 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))).
% 1.96/2.16 Following clause subsumed by 4327 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))).
% 1.96/2.16 Following clause subsumed by 4374 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)))|hAPP(hAPP(c_List_Onth(A),B),C)!=hAPP(hAPP(c_List_Onth(A),B),D)|C=D.
% 1.96/2.16 Following clause subsumed by 4399 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).
% 1.96/2.16 Following clause subsumed by 4419 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)).
% 1.96/2.16 Following clause subsumed by 4419 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).
% 1.96/2.16 Following clause subsumed by 4447 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).
% 1.96/2.16 Following clause subsumed by 4454 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).
% 1.96/2.16 Following clause subsumed by 4475 during input processing: 0 [] {-} hAPP(hAPP(c_List_Oappend(A),B),C)!=B|C=c_List_Olist_ONil(A).
% 1.96/2.16 Following clause subsumed by 4477 during input processing: 0 [] {-} hAPP(hAPP(c_List_Oappend(A),B),C)=B|C!=c_List_Olist_ONil(A).
% 1.96/2.16 Following clause subsumed by 4479 during input processing: 0 [] {-} hAPP(hAPP(c_List_Oappend(A),B),C)!=C|B=c_List_Olist_ONil(A).
% 1.96/2.16 Following clause subsumed by 4481 during input processing: 0 [] {-} hAPP(hAPP(c_List_Oappend(A),B),C)=C|B!=c_List_Olist_ONil(A).
% 1.96/2.16 Following clause subsumed by 4486 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).
% 1.96/2.16 Following clause subsumed by 4518 during input processing: 0 [] {-} hAPP(hAPP(c_List_Odrop(A),B),C)=c_List_Olist_ONil(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(A)),C)),B)).
% 1.96/2.16 Following clause subsumed by 4525 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).
% 1.96/2.16 Following clause subsumed by 4604 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).
% 1.96/2.16 Following clause subsumed by 4605 during input processing: 0 [] {-} A!=c_List_Olist_ONil(B)|c_List_Olast(B,hAPP(hAPP(c_List_Olist_OCons(B),C),A))=C.
% 1.96/2.19 Following clause subsumed by 4620 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.
% 1.96/2.19 Following clause subsumed by 4634 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.
% 1.96/2.19 Following clause subsumed by 4641 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))).
% 1.96/2.19 Following clause subsumed by 4617 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))).
% 1.96/2.19 Following clause subsumed by 4673 during input processing: 0 [] {-} hAPP(c_Code__Numeral_Onat__of,A)!=hAPP(c_Code__Numeral_Onat__of,B)|A=B.
% 1.96/2.19 Following clause subsumed by 4674 during input processing: 0 [] {-} hAPP(c_Code__Numeral_Onat__of,A)=hAPP(c_Code__Numeral_Onat__of,B)|A!=B.
% 1.96/2.19 Following clause subsumed by 4699 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).
% 1.96/2.19 Following clause subsumed by 4699 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).
% 1.96/2.19 Following clause subsumed by 4724 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))).
% 1.96/2.19 Following clause subsumed by 4209 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.
% 1.96/2.19 Following clause subsumed by 4738 during input processing: 0 [] {-} c_List_Oremdups(A,B)=B| -hBOOL(hAPP(c_List_Odistinct(A),B)).
% 1.96/2.19 Following clause subsumed by 4785 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)).
% 1.96/2.19 Following clause subsumed by 4788 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).
% 1.96/2.19 Following clause subsumed by 4792 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),A),B))|c_List_Oupt(B,A)=c_List_Olist_ONil(tc_Nat_Onat).
% 1.96/2.19 Following clause subsumed by 4788 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)).
% 1.96/2.19 Following clause subsumed by 4809 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_List_Olinorder__class_Osorted(A,c_List_Olist_ONil(A)).
% 2.05/2.23 Following clause subsumed by 4818 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)).
% 2.05/2.23 Following clause subsumed by 4834 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)).
% 2.05/2.23 Following clause subsumed by 4833 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).
% 2.05/2.23 Following clause subsumed by 4850 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -c_List_Olinorder__class_Osorted(A,B)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),C),D))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),D),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(A)),B)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(hAPP(c_List_Onth(A),B),C)),hAPP(hAPP(c_List_Onth(A),B),D))).
% 2.05/2.23 Following clause subsumed by 4857 during input processing: 0 [flip.1] {-} hAPP(c_List_Orev(A),B)!=c_List_Olist_ONil(A)|B=c_List_Olist_ONil(A).
% 2.05/2.23 Following clause subsumed by 4858 during input processing: 0 [flip.1] {-} hAPP(c_List_Orev(A),B)=c_List_Olist_ONil(A)|B!=c_List_Olist_ONil(A).
% 2.05/2.23 Following clause subsumed by 4939 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(A),B),hAPP(c_List_Oset(A),C)))|c_List_Oinsert(A,B,C)=C.
% 2.05/2.23 Following clause subsumed by 4958 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(A,B)),hAPP(A,C)))|hBOOL(hAPP(hAPP(c_member(tc_prod(D,D)),hAPP(hAPP(c_Product__Type_OPair(D,D),B),C)),c_List_Omeasures(D,hAPP(hAPP(c_List_Olist_OCons(tc_fun(D,tc_Nat_Onat)),A),E)))).
% 2.05/2.23 Following clause subsumed by 5014 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_member(A),B),hAPP(c_List_Oset(A),C)))|C!=hAPP(hAPP(c_List_Oappend(A),D),hAPP(hAPP(c_List_Olist_OCons(A),B),E))|hBOOL(hAPP(hAPP(c_member(A),B),hAPP(c_List_Oset(A),E))).
% 2.05/2.23 Following clause subsumed by 5029 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).
% 2.05/2.23 Following clause subsumed by 5029 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)).
% 2.05/2.23 Following clause subsumed by 5058 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Predicate_Oconversep(A,B,C),D),E))|hBOOL(hAPP(hAPP(C,E),D)).
% 2.05/2.23 Following clause subsumed by 5059 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Predicate_Oconversep(A,B,C),D),E))| -hBOOL(hAPP(hAPP(C,E),D)).
% 2.05/2.23 Following clause subsumed by 5058 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Predicate_Oconversep(A,B,C),D),E))|hBOOL(hAPP(hAPP(C,E),D)).
% 2.05/2.23 Following clause subsumed by 5059 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Predicate_Oconversep(A,B,C),D),E))| -hBOOL(hAPP(hAPP(C,E),D)).
% 2.05/2.23 Following clause subsumed by 5063 during input processing: 0 [] {-} -hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_Lazy__Sequence_Osmall__lazy_H__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_Lazy__Sequence_Osmall__lazy_H(A,B)=c_Lazy__Sequence_Oempty(tc_Int_Oint).
% 2.05/2.23 Following clause subsumed by 5067 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(A),B),hAPP(c_List_Oset(A),c_List_Oreplicate(A,C,D))))|hBOOL(hAPP(E,B))|C!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 2.05/2.23 Following clause subsumed by 5067 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(A),B),hAPP(c_List_Oset(A),c_List_Oreplicate(A,C,D))))| -hBOOL(hAPP(E,B))|C!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 2.05/2.23 Following clause subsumed by 5095 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_List_Omember(A),B),C))|hBOOL(hAPP(hAPP(c_member(A),C),hAPP(c_List_Oset(A),B))).
% 2.05/2.24 Following clause subsumed by 5094 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_List_Omember(A),B),C))| -hBOOL(hAPP(hAPP(c_member(A),C),hAPP(c_List_Oset(A),B))).
% 2.05/2.24 Following clause subsumed by 5152 during input processing: 0 [] {-} -c_Relation_Otrans(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),E)),B))|hBOOL(hAPP(hAPP(c_member(tc_prod(A,A)),hAPP(hAPP(c_Product__Type_OPair(A,A),C),E)),B)).
% 2.05/2.24 Following clause subsumed by 182 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)).
% 2.05/2.24 Following clause subsumed by 5007 during input processing: 0 [] {-} c_List_Olist__ex(A,B,C)| -hBOOL(hAPP(hAPP(c_member(A),D),hAPP(c_List_Oset(A),C)))| -hBOOL(hAPP(B,D)).
% 2.05/2.24 Following clause subsumed by 5007 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(A),B),hAPP(c_List_Oset(A),C)))| -hBOOL(hAPP(D,B))|c_List_Olist__ex(A,D,C).
% 2.05/2.24 Following clause subsumed by 5174 during input processing: 0 [flip.2] {-} -class_Complete__Lattice_Ocomplete__lattice(A)|c_Complete__Lattice_OSup__class_OSup(A,hAPP(c_Set_OCollect(A),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(B,A),tc_HOL_Obool),tc_HOL_Obool,A),c_HOL_OEx(tc_fun(B,A))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(B,A),tc_HOL_Obool),tc_fun(tc_fun(B,A),tc_HOL_Obool),A),hAPP(c_COMBS(tc_fun(B,A),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(B,A)),c_fconj),hAPP(hAPP(c_COMBC(tc_fun(B,A),tc_fun(tc_fun(B,A),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_fun(B,A))),C)))),hAPP(hAPP(c_COMBC(A,tc_fun(tc_fun(B,A),A),tc_fun(tc_fun(B,A),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(A,tc_HOL_Obool),tc_fun(tc_fun(tc_fun(B,A),A),tc_fun(tc_fun(B,A),tc_HOL_Obool)),A),c_COMBB(A,tc_HOL_Obool,tc_fun(B,A))),c_fequal)),hAPP(hAPP(c_COMBC(tc_fun(B,A),B,A),c_COMBI(tc_fun(B,A))),D))))))=hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(B,A),C),D).
% 2.05/2.24 Following clause subsumed by 5176 during input processing: 0 [flip.2] {-} -class_Complete__Lattice_Ocomplete__lattice(A)|c_Complete__Lattice_OInf__class_OInf(A,hAPP(c_Set_OCollect(A),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(B,A),tc_HOL_Obool),tc_HOL_Obool,A),c_HOL_OEx(tc_fun(B,A))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(B,A),tc_HOL_Obool),tc_fun(tc_fun(B,A),tc_HOL_Obool),A),hAPP(c_COMBS(tc_fun(B,A),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(B,A)),c_fconj),hAPP(hAPP(c_COMBC(tc_fun(B,A),tc_fun(tc_fun(B,A),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_fun(B,A))),C)))),hAPP(hAPP(c_COMBC(A,tc_fun(tc_fun(B,A),A),tc_fun(tc_fun(B,A),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(A,tc_HOL_Obool),tc_fun(tc_fun(tc_fun(B,A),A),tc_fun(tc_fun(B,A),tc_HOL_Obool)),A),c_COMBB(A,tc_HOL_Obool,tc_fun(B,A))),c_fequal)),hAPP(hAPP(c_COMBC(tc_fun(B,A),B,A),c_COMBI(tc_fun(B,A))),D))))))=hAPP(c_Complete__Lattice_OInf__class_OInf(tc_fun(B,A),C),D).
% 2.05/2.24 Following clause subsumed by 5182 during input processing: 0 [] {-} -c_Equiv__Relations_Oequivp(A,B)|c_Predicate_Oreflp(A,B).
% 2.05/2.24 Following clause subsumed by 5183 during input processing: 0 [] {-} -c_Equiv__Relations_Oequivp(A,B)|c_Predicate_Osymp(A,B).
% 2.05/2.24 Following clause subsumed by 5184 during input processing: 0 [] {-} -c_Equiv__Relations_Oequivp(A,B)|c_Predicate_Otransp(A,B).
% 2.05/2.24 Following clause subsumed by 5185 during input processing: 0 [] {-} c_Equiv__Relations_Oequivp(A,B)| -c_Predicate_Oreflp(A,B)| -c_Predicate_Osymp(A,B)| -c_Predicate_Otransp(A,B).
% 2.05/2.24 Following clause subsumed by 3763 during input processing: 0 [] {-} -c_Wellfounded_Omax__extp(A,B,C,D)|hBOOL(hAPP(c_Finite__Set_Ofinite(A),C)).
% 2.05/2.24 Following clause subsumed by 3764 during input processing: 0 [] {-} -c_Wellfounded_Omax__extp(A,B,C,D)|hBOOL(hAPP(c_Finite__Set_Ofinite(A),D)).
% 2.05/2.24 Following clause subsumed by 3765 during input processing: 0 [] {-} -c_Wellfounded_Omax__extp(A,B,C,D)|D!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool)).
% 2.05/2.28 Following clause subsumed by 5192 during input processing: 0 [] {-} -c_Relation_Oantisym(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))|C=D.
% 2.05/2.28 Following clause subsumed by 5201 during input processing: 0 [] {-} -c_Relation_Osym(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)).
% 2.05/2.28 Following clause subsumed by 5216 during input processing: 0 [] {-} -c_Relation_Orefl__on(A,B,C)| -c_Relation_Osym(A,C)| -c_Relation_Otrans(A,C)|c_Equiv__Relations_Oequiv(A,B,C).
% 2.05/2.28 Following clause subsumed by 5213 during input processing: 0 [] {-} -c_Equiv__Relations_Oequiv(A,B,C)|c_Relation_Orefl__on(A,B,C).
% 2.05/2.28 Following clause subsumed by 5214 during input processing: 0 [] {-} -c_Equiv__Relations_Oequiv(A,B,C)|c_Relation_Osym(A,C).
% 2.05/2.28 Following clause subsumed by 5215 during input processing: 0 [] {-} -c_Equiv__Relations_Oequiv(A,B,C)|c_Relation_Otrans(A,C).
% 2.05/2.28 Following clause subsumed by 52 during input processing: 0 [copy,51,flip.1] {-} c_Com_Ocom_OAss(A,B)!=c_Com_Ocom_OSemi(C,D).
% 2.05/2.28 Following clause subsumed by 51 during input processing: 0 [copy,52,flip.1] {-} c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OAss(C,D).
% 2.05/2.28 Following clause subsumed by 55 during input processing: 0 [copy,54,flip.1] {-} c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OWhile(C,D).
% 2.05/2.28 Following clause subsumed by 54 during input processing: 0 [copy,55,flip.1] {-} c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OSemi(C,D).
% 2.05/2.28 Following clause subsumed by 57 during input processing: 0 [copy,56,flip.1] {-} c_Com_Ocom_OAss(A,B)!=c_Com_Ocom_OWhile(C,D).
% 2.05/2.28 Following clause subsumed by 56 during input processing: 0 [copy,57,flip.1] {-} c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OAss(C,D).
% 2.05/2.28 Following clause subsumed by 120 during input processing: 0 [copy,119,flip.1] {-} c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OWhile(D,E).
% 2.05/2.28 Following clause subsumed by 119 during input processing: 0 [copy,120,flip.1] {-} c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OCond(C,D,E).
% 2.05/2.28 Following clause subsumed by 122 during input processing: 0 [copy,121,flip.1] {-} c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OAss(D,E).
% 2.05/2.28 Following clause subsumed by 121 during input processing: 0 [copy,122,flip.1] {-} c_Com_Ocom_OAss(A,B)!=c_Com_Ocom_OCond(C,D,E).
% 2.05/2.28 Following clause subsumed by 124 during input processing: 0 [copy,123,flip.1] {-} c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OSemi(D,E).
% 2.05/2.28 Following clause subsumed by 123 during input processing: 0 [copy,124,flip.1] {-} c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OCond(C,D,E).
% 2.05/2.28 Following clause subsumed by 161 during input processing: 0 [copy,160,flip.1] {-} c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OLocal(C,D,E).
% 2.05/2.28 Following clause subsumed by 160 during input processing: 0 [copy,161,flip.1] {-} c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OWhile(D,E).
% 2.05/2.28 Following clause subsumed by 163 during input processing: 0 [copy,162,flip.1] {-} c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OCond(D,E,F).
% 2.05/2.28 Following clause subsumed by 162 during input processing: 0 [copy,163,flip.1] {-} c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OLocal(D,E,F).
% 2.05/2.28 Following clause subsumed by 165 during input processing: 0 [copy,164,flip.1] {-} c_Com_Ocom_OAss(A,B)!=c_Com_Ocom_OLocal(C,D,E).
% 2.05/2.28 Following clause subsumed by 164 during input processing: 0 [copy,165,flip.1] {-} c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OAss(D,E).
% 2.05/2.28 Following clause subsumed by 167 during input processing: 0 [copy,166,flip.1] {-} c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OLocal(C,D,E).
% 2.05/2.28 Following clause subsumed by 166 during input processing: 0 [copy,167,flip.1] {-} c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OSemi(D,E).
% 2.05/2.28 Following clause subsumed by 178 during input processing: 0 [copy,177,flip.1] {-} c_Com_Ovname_OLoc(A)!=c_Com_Ovname_OGlb(B).
% 2.05/2.28 Following clause subsumed by 177 during input processing: 0 [copy,178,flip.1] {-} c_Com_Ovname_OGlb(A)!=c_Com_Ovname_OLoc(B).
% 2.05/2.28 182 back subsumes 159.
% 2.05/2.28 219 back subsumes 179.
% 2.05/2.28 319 back subsumes 318.
% 2.05/2.28 329 back subsumes 321.
% 2.05/2.28 333 back subsumes 322.
% 2.05/2.28 334 back subsumes 320.
% 2.05/2.28 355 back subsumes 339.
% 2.05/2.28 371 back subsumes 370.
% 2.05/2.28 374 back subsumes 346.
% 2.05/2.28 374 back subsumes 345.
% 2.42/2.63 439 back subsumes 433.
% 2.42/2.63 654 back subsumes 626.
% 2.42/2.63 663 back subsumes 658.
% 2.42/2.63 668 back subsumes 656.
% 2.42/2.63 1046 back subsumes 1043.
% 2.42/2.63 Following clause subsumed by 1113 during input processing: 0 [copy,1112,flip.1] {-} c_Groups_Ozero__class_Ozero(tc_Nat_Onat)!=hAPP(c_Nat_OSuc,A).
% 2.42/2.63 Following clause subsumed by 1112 during input processing: 0 [copy,1113,flip.1] {-} hAPP(c_Nat_OSuc,A)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 2.42/2.63 1141 back subsumes 1137.
% 2.42/2.63 1212 back subsumes 1210.
% 2.42/2.64 1213 back subsumes 1211.
% 2.42/2.64 1329 back subsumes 1327.
% 2.42/2.64 1330 back subsumes 1326.
% 2.42/2.64 2110 back subsumes 2085.
% 2.42/2.64 2111 back subsumes 2086.
% 2.42/2.64 2428 back subsumes 2427.
% 2.42/2.64 3232 back subsumes 3174.
% 2.42/2.64 3233 back subsumes 3175.
% 2.42/2.64 Following clause subsumed by 3239 during input processing: 0 [copy,3238,flip.1] {-} c_Int_OBit1(A)!=c_Int_OBit0(B).
% 2.42/2.64 Following clause subsumed by 3238 during input processing: 0 [copy,3239,flip.1] {-} c_Int_OBit0(A)!=c_Int_OBit1(B).
% 2.42/2.64 3392 back subsumes 1738.
% 2.42/2.64 3445 back subsumes 3444.
% 2.42/2.64 3489 back subsumes 3482.
% 2.42/2.64 3493 back subsumes 3484.
% 2.42/2.64 3499 back subsumes 3496.
% 2.42/2.64 3505 back subsumes 3498.
% 2.42/2.64 3515 back subsumes 3508.
% 2.42/2.64 Following clause subsumed by 3636 during input processing: 0 [copy,3635,flip.1] {-} c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)!=c_Code__Numeral_OSuc__code__numeral(A).
% 2.42/2.64 Following clause subsumed by 3635 during input processing: 0 [copy,3636,flip.1] {-} c_Code__Numeral_OSuc__code__numeral(A)!=c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral).
% 2.42/2.64 3909 back subsumes 3905.
% 2.42/2.64 3918 back subsumes 3892.
% 2.42/2.64 4030 back subsumes 4009.
% 2.42/2.64 4326 back subsumes 4323.
% 2.42/2.64 4386 back subsumes 4384.
% 2.42/2.64 Following clause subsumed by 4397 during input processing: 0 [copy,4396,flip.1] {-} hAPP(hAPP(c_List_Olist_OCons(A),B),C)!=c_List_Olist_ONil(A).
% 2.42/2.64 Following clause subsumed by 4396 during input processing: 0 [copy,4397,flip.1] {-} c_List_Olist_ONil(A)!=hAPP(hAPP(c_List_Olist_OCons(A),B),C).
% 2.42/2.64 4399 back subsumes 4390.
% 2.42/2.64 4657 back subsumes 4653.
% 2.42/2.64 4658 back subsumes 4654.
% 2.42/2.64 4712 back subsumes 4711.
% 2.42/2.64 4833 back subsumes 4820.
% 2.42/2.64 5014 back subsumes 4999.
% 2.42/2.64 Following clause subsumed by 5141 during input processing: 0 [copy,5140,flip.1] {-} c_Lazy__Sequence_Olazy__sequence_OInsert(A,B,C)!=c_Lazy__Sequence_Olazy__sequence_OEmpty(A).
% 2.42/2.64 Following clause subsumed by 5140 during input processing: 0 [copy,5141,flip.1] {-} c_Lazy__Sequence_Olazy__sequence_OEmpty(A)!=c_Lazy__Sequence_Olazy__sequence_OInsert(A,B,C).
% 2.42/2.64 Following clause subsumed by 323 during input processing: 0 [copy,5304,flip.1] {-} hAPP(c_Set_Oimage(A,tc_fun(A,tc_HOL_Obool),B),C)!=hAPP(c_Set_OPow(A),C).
% 2.42/2.64 5310 back subsumes 5307.
% 2.42/2.64 5372 back subsumes 5371.
% 2.42/2.64 5434 back subsumes 5429.
% 2.42/2.64 5481 back subsumes 5478.
% 2.42/2.64 Following clause subsumed by 1750 during input processing: 0 [copy,5524,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).
% 2.42/2.64 5574 back subsumes 5573.
% 2.42/2.64
% 2.42/2.64 ------------> process sos:
% 2.42/2.64 Following clause subsumed by 5902 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))).
% 2.42/2.64 Following clause subsumed by 5909 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)))).
% 2.42/2.64 Following clause subsumed by 5913 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSKIP),A),A)).
% 2.42/2.64 Following clause subsumed by 5919 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)))).
% 2.42/2.64 Following clause subsumed by 5918 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(A,B)),C),C))|hBOOL(hAPP(A,C)).
% 2.42/2.67 Following clause subsumed by 5917 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)))).
% 2.42/2.67 Following clause subsumed by 5923 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)))).
% 2.42/2.67 Following clause subsumed by 5929 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)).
% 2.42/2.67 Following clause subsumed by 5930 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OSKIP),A),B),A)).
% 2.42/2.67 Following clause subsumed by 5975 during input processing: 0 [demod,5970,5960] {-} 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)).
% 2.42/2.67 Following clause subsumed by 6029 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).
% 2.42/2.67 Following clause subsumed by 6092 during input processing: 0 [demod,5970,6090,6090] {-} 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).
% 2.42/2.67 Following clause subsumed by 6094 during input processing: 0 [demod,5970,6090,6090] {-} 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).
% 2.42/2.67 Following clause subsumed by 6108 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_member(A),B),c_Orderings_Otop__class_Otop(tc_fun(A,tc_HOL_Obool)))).
% 2.42/2.67 Following clause subsumed by 5944 during input processing: 0 [demod,6152,5996,6152] {-} 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))).
% 2.42/2.67 Following clause subsumed by 6184 during input processing: 0 [] {-} A=B|hAPP(c_Fun_Ofun__upd(C,D,E,B,F),A)=hAPP(E,A).
% 2.42/2.67 Following clause subsumed by 6184 during input processing: 0 [] {-} A=B|hAPP(c_Fun_Ofun__upd(C,D,E,B,F),A)=hAPP(E,A).
% 2.42/2.67 Following clause subsumed by 6323 during input processing: 0 [demod,5967] {-} c_Nitpick_Ofold__graph_H(A,B,C,D,hAPP(c_COMBK(tc_HOL_Obool,A),c_fFalse),D).
% 2.52/2.70 Following clause subsumed by 6333 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)).
% 2.52/2.70 Following clause subsumed by 6333 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)).
% 2.52/2.70 Following clause subsumed by 6337 during input processing: 0 [demod,6152,6339,6152] {-} hAPP(c_COMBK(tc_HOL_Obool,A),c_fTrue)=hAPP(c_COMBK(tc_HOL_Obool,A),c_fTrue).
% 2.52/2.70 Following clause subsumed by 6332 during input processing: 0 [demod,6152,6152] {-} c_Fun_Obij__betw(A,A,c_Fun_Oid(A),hAPP(c_COMBK(tc_HOL_Obool,A),c_fTrue),hAPP(c_COMBK(tc_HOL_Obool,A),c_fTrue)).
% 2.52/2.70 Following clause subsumed by 6352 during input processing: 0 [demod,5967] {-} hBOOL(hAPP(c_Finite__Set_Ofinite(A),hAPP(c_COMBK(tc_HOL_Obool,A),c_fFalse))).
% 2.52/2.70 Following clause subsumed by 6337 during input processing: 0 [demod,6364,6362] {-} 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)).
% 2.52/2.70 Following clause subsumed by 6411 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)).
% 2.52/2.70 Following clause subsumed by 6384 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)).
% 2.52/2.70 Following clause subsumed by 6402 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).
% 2.52/2.70 Following clause subsumed by 6402 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)).
% 2.52/2.70 Following clause subsumed by 6337 during input processing: 0 [demod,6566] {-} 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)).
% 2.52/2.70 Following clause subsumed by 6573 during input processing: 0 [demod,5967] {-} hBOOL(hAPP(c_Finite__Set_Ofold__graph(A,B,C,D,hAPP(c_COMBK(tc_HOL_Obool,A),c_fFalse)),D)).
% 2.52/2.70 Following clause subsumed by 6337 during input processing: 0 [demod,6643] {-} hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),A),B)=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),A),B).
% 2.52/2.70 Following clause subsumed by 6001 during input processing: 0 [demod,5967,5967,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).
% 2.52/2.70 Following clause subsumed by 6337 during input processing: 0 [demod,6388,6569] {-} c_Groups_Oone__class_Oone(tc_Int_Oint)=c_Groups_Oone__class_Oone(tc_Int_Oint).
% 2.52/2.70 Following clause subsumed by 6337 during input processing: 0 [demod,6566] {-} 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)).
% 2.52/2.70 Following clause subsumed by 6337 during input processing: 0 [demod,6561] {-} 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)).
% 2.52/2.70 Following clause subsumed by 6636 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))).
% 2.52/2.70 Following clause subsumed by 6337 during input processing: 0 [demod,6458,6552] {-} c_Groups_Ozero__class_Ozero(tc_Int_Oint)=c_Groups_Ozero__class_Ozero(tc_Int_Oint).
% 2.54/2.73 Following clause subsumed by 6610 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))).
% 2.54/2.73 Following clause subsumed by 6701 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))).
% 2.54/2.73 Following clause subsumed by 6337 during input processing: 0 [demod,6458,6743] {-} c_Com_Ocom_Ocom__size(c_Com_Ocom_OSKIP)=c_Com_Ocom_Ocom__size(c_Com_Ocom_OSKIP).
% 2.54/2.73 Following clause subsumed by 6337 during input processing: 0 [demod,6583,6740] {-} 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).
% 2.54/2.73 Following clause subsumed by 6855 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)).
% 2.54/2.73 Following clause subsumed by 6879 during input processing: 0 [demod,6090] {-} 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)).
% 2.54/2.73 Following clause subsumed by 6337 during input processing: 0 [demod,6916] {-} 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).
% 2.54/2.73 Following clause subsumed by 6337 during input processing: 0 [demod,6916] {-} 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).
% 2.54/2.73 Following clause subsumed by 6337 during input processing: 0 [demod,6933,6639] {-} hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),A),B)=hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),A),B).
% 2.54/2.73 Following clause subsumed by 6640 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))).
% 2.54/2.73 Following clause subsumed by 6337 during input processing: 0 [demod,6973] {-} 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)).
% 2.54/2.73 Following clause subsumed by 6337 during input processing: 0 [demod,6999] {-} 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).
% 2.54/2.73 Following clause subsumed by 6337 during input processing: 0 [demod,7014] {-} hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B),C)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B),C).
% 2.54/2.75 Following clause subsumed by 6640 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))).
% 2.54/2.75 Following clause subsumed by 7048 during input processing: 0 [demod,6650] {-} 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))).
% 2.54/2.75 Following clause subsumed by 7068 during input processing: 0 [demod,6687,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).
% 2.54/2.75 Following clause subsumed by 6337 during input processing: 0 [demod,7072] {-} 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)).
% 2.54/2.75 Following clause subsumed by 6337 during input processing: 0 [demod,7125,7125,7125] {-} hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),A),B)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),A),B).
% 2.54/2.75 Following clause subsumed by 6337 during input processing: 0 [demod,7125,6806,6335] {-} A=A.
% 2.54/2.75 Following clause subsumed by 6337 during input processing: 0 [demod,7125,7128] {-} hAPP(c_Int_Onat,A)=hAPP(c_Int_Onat,A).
% 2.54/2.75 Following clause subsumed by 6337 during input processing: 0 [demod,7125,7125,6643,7125] {-} hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),A),B)=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),A),B).
% 2.54/2.75 Following clause subsumed by 6832 during input processing: 0 [demod,7125,7128,7125] {-} hBOOL(hAPP(c_Nat__Numeral_Oneg,A))|hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,A))=A.
% 2.54/2.75 Following clause subsumed by 7136 during input processing: 0 [demod,7125,7128,7128,7125,7128] {-} hBOOL(hAPP(c_Nat__Numeral_Oneg,A))|hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Int_Onat,A)),hAPP(c_Int_Onat,B))=hAPP(c_Int_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),A),hAPP(c_Int_Onat,B))).
% 2.54/2.75 Following clause subsumed by 6636 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OPls)).
% 2.54/2.75 Following clause subsumed by 6337 during input processing: 0 [demod,6458,7162,7128] {-} hAPP(c_Int_Onat,c_Int_OPls)=hAPP(c_Int_Onat,c_Int_OPls).
% 2.54/2.75 Following clause subsumed by 6337 during input processing: 0 [demod,7153,7125] {-} c_Int_OPls=c_Int_OPls.
% 2.54/2.75 Following clause subsumed by 6636 during input processing: 0 [demod,7153,7125] {-} hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OPls)).
% 2.54/2.75 Following clause subsumed by 6337 during input processing: 0 [demod,7172,7150,7201,7148,7148] {-} c_Groups_Oone__class_Oone(tc_Int_Oint)=c_Groups_Oone__class_Oone(tc_Int_Oint).
% 2.54/2.75 Following clause subsumed by 6337 during input processing: 0 [demod,7201,7148,7148,7125] {-} c_Groups_Oone__class_Oone(tc_Int_Oint)=c_Groups_Oone__class_Oone(tc_Int_Oint).
% 2.54/2.75 Following clause subsumed by 6337 during input processing: 0 [demod,7201,7148,7148,7128,6747,6758,7162,6388,6758,7162] {-} hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls))=hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls)).
% 2.54/2.75 Following clause subsumed by 6337 during input processing: 0 [demod,6388,6758,7162,7201,7148,7148,7128,6747,6758,7162] {-} hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls))=hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls)).
% 2.54/2.75 Following clause subsumed by 6337 during input processing: 0 [demod,7201,7148,7148,7128,6747,6758,7162,6458,7162] {-} hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls))=hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls)).
% 2.54/2.75 Following clause subsumed by 6337 during input processing: 0 [demod,7201,7148,7148,7201,7128,7208,7201,7148,7148,7201,7125,7208] {-} 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)))).
% 2.54/2.75 Following clause subsumed by 6337 during input processing: 0 [demod,7128,7201,7148,7148,7201,7128,7208,6364,6364,6364,6790,7213,7128] {-} 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)).
% 2.54/2.75 Following clause subsumed by 6337 during input processing: 0 [demod,7201,7148,7148,7201,7128,7208,6364,6364,6364,6790,7213] {-} 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).
% 2.54/2.75 Following clause subsumed by 6337 during input processing: 0 [demod,7201,7148,7148,7201,7128,7208,6364,6364,6364,6790,7213] {-} 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)))).
% 2.54/2.75 Following clause subsumed by 6337 during input processing: 0 [demod,7128,7201,7148,7148,7201,7128,7208,6364,6364,6364,6790,7213,7128] {-} 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)).
% 2.54/2.75 Following clause subsumed by 6337 during input processing: 0 [demod,7201,7148,7148,7201,7128,7208,6364,6364,6364,6790,7213] {-} hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,A)))),B)=hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,A)))),B).
% 2.54/2.75 Following clause subsumed by 6337 during input processing: 0 [demod,7201,7148,7148,7201,7128,7208,6364,6364,6364,6790,7213] {-} 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)))).
% 2.54/2.75 Following clause subsumed by 6337 during input processing: 0 [demod,7228,7228,6643,6650] {-} 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)).
% 2.54/2.75 Following clause subsumed by 6646 during input processing: 0 [demod,7201,7172,6645,6645,7172,7228,6645] {-} 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)))).
% 2.54/2.75 Following clause subsumed by 6337 during input processing: 0 [demod,6458,7162,7201,7148,7148,7228,7128,7261,7276] {-} 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))).
% 2.54/2.75 Following clause subsumed by 6337 during input processing: 0 [demod,7201,7148,7148,7228,7128,7261,7276,7201,7148,7148,7228,7125,7261,7276] {-} 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))).
% 2.54/2.75 Following clause subsumed by 6337 during input processing: 0 [demod,6388,6758,7162,6388,6758,7162,6362,6364,6790,7281,7201,7148,7148,7228,7128,7261,7276] {-} 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))).
% 2.64/2.84 Following clause subsumed by 6337 during input processing: 0 [demod,7201,7148,7148,7228,7125,7261,7276,6458,7162] {-} 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))).
% 2.64/2.84 Following clause subsumed by 6636 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OMin)).
% 2.64/2.84 Following clause subsumed by 7314 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OPls)).
% 2.64/2.84 Following clause subsumed by 6337 during input processing: 0 [demod,7168,7228,7329] {-} 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)).
% 2.64/2.84 Following clause subsumed by 7379 during input processing: 0 [demod,7153,7387] {-} A=c_Int_OPls|hBOOL(hAPP(c_Divides_Odivmod__int__rel(B,A),c_Divides_Odivmod__int(B,A))).
% 2.64/2.84 Following clause subsumed by 7401 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).
% 2.64/2.84 Following clause subsumed by 6337 during input processing: 0 [demod,5950,7403,5950] {-} c_Enum_Oenum__the(tc_prod(A,B),C)=c_Enum_Oenum__the(tc_prod(A,B),C).
% 2.64/2.84 Following clause subsumed by 7448 during input processing: 0 [demod,7439] {-} hBOOL(hAPP(c_Divides_Odivmod__nat__rel(A,B),c_Divides_Odivmod__nat(A,B))).
% 2.64/2.84 Following clause subsumed by 6337 during input processing: 0 [demod,7488] {-} A=A.
% 2.64/2.84 Following clause subsumed by 7489 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)).
% 2.64/2.84 Following clause subsumed by 7489 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)).
% 2.64/2.84 Following clause subsumed by 7523 during input processing: 0 [demod,6025,6025] {-} 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))).
% 2.64/2.84 Following clause subsumed by 7528 during input processing: 0 [demod,6090,6090] {-} 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_fconj),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_fconj),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))).
% 2.64/2.84 Following clause subsumed by 6337 during input processing: 0 [demod,6458,7162,7580,6458,7162] {-} hAPP(c_Int_Onat,c_Int_OPls)=hAPP(c_Int_Onat,c_Int_OPls).
% 2.64/2.84 Following clause subsumed by 6337 during input processing: 0 [demod,7684] {-} c_Product__Type_Omap__pair(E,C,F,D,hAPP(c_Fun_Ocomp(A,C,E,G),I),hAPP(c_Fun_Ocomp(B,D,F,H),J))=c_Product__Type_Omap__pair(E,C,F,D,hAPP(c_Fun_Ocomp(A,C,E,G),I),hAPP(c_Fun_Ocomp(B,D,F,H),J)).
% 2.64/2.84 Following clause subsumed by 6337 during input processing: 0 [demod,7403] {-} c_Hilbert__Choice_OEps(tc_prod(A,B),C)=c_Hilbert__Choice_OEps(tc_prod(A,B),C).
% 2.64/2.84 Following clause subsumed by 6337 during input processing: 0 [demod,7861,7904] {-} c_Transitive__Closure_Otrancl(A,B)=c_Transitive__Closure_Otrancl(A,B).
% 2.73/2.92 Following clause subsumed by 6337 during input processing: 0 [demod,7948] {-} hAPP(c_Relation_ORange(A,B),C)=hAPP(c_Relation_ORange(A,B),C).
% 2.73/2.92 Following clause subsumed by 6337 during input processing: 0 [demod,7961] {-} 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)).
% 2.73/2.92 Following clause subsumed by 8005 during input processing: 0 [demod,6025] {-} 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)).
% 2.73/2.92 Following clause subsumed by 6337 during input processing: 0 [demod,8062] {-} 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).
% 2.73/2.92 Following clause subsumed by 6337 during input processing: 0 [demod,8079] {-} 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).
% 2.73/2.92 Following clause subsumed by 6350 during input processing: 0 [demod,8228] {-} c_Nat_Onat_Onat__case(A,B,hAPP(c_List_Onth(A),C),hAPP(c_Nat_OSuc,D))=hAPP(hAPP(c_List_Onth(A),C),D).
% 2.73/2.92 Following clause subsumed by 8230 during input processing: 0 [demod,7128,6458,7162,7128,8228,7128,6388,6758,7162,6687] {-} 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_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls)),hAPP(c_Int_Onat,A)))).
% 2.73/2.92 Following clause subsumed by 6337 during input processing: 0 [demod,8284] {-} c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,A,B)=c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,A,B).
% 2.73/2.92 Following clause subsumed by 8344 during input processing: 0 [] {-} c_List_Olistrelp(A,B,c_List_Olist_ONil(A),c_List_Olist_ONil(A)).
% 2.73/2.92 Following clause subsumed by 6337 during input processing: 0 [demod,8236,8343] {-} c_List_Olist_ONil(A)=c_List_Olist_ONil(A).
% 2.73/2.92 Following clause subsumed by 6337 during input processing: 0 [demod,8366] {-} c_List_Olist_ONil(A)=c_List_Olist_ONil(A).
% 2.73/2.92 Following clause subsumed by 8374 during input processing: 0 [demod,7125,7125,7125,7125] {-} 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).
% 2.73/2.92 Following clause subsumed by 6337 during input processing: 0 [demod,8475] {-} c_List_Obutlast(A,hAPP(hAPP(c_List_Odrop(A),B),C))=c_List_Obutlast(A,hAPP(hAPP(c_List_Odrop(A),B),C)).
% 2.73/2.92 Following clause subsumed by 8483 during input processing: 0 [demod,7128,6458,7162,7128,7128,6388,6758,7162,6687] {-} 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_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls)),hAPP(c_Int_Onat,A)))),D).
% 2.73/2.92 Following clause subsumed by 8494 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).
% 2.73/2.92 Following clause subsumed by 8552 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).
% 4.35/4.54 Following clause subsumed by 8553 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).
% 4.35/4.54 Following clause subsumed by 8594 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)).
% 4.35/4.54 Following clause subsumed by 8595 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).
% 4.35/4.54 Following clause subsumed by 6337 during input processing: 0 [demod,8640] {-} A=A.
% 4.35/4.54 Following clause subsumed by 6337 during input processing: 0 [demod,8617,5938,8642,7128] {-} hAPP(c_Int_Onat,A)=hAPP(c_Int_Onat,A).
% 4.35/4.54 Following clause subsumed by 6337 during input processing: 0 [demod,8668] {-} hAPP(hAPP(c_Code__Numeral_Osubtract__code__numeral,A),B)=hAPP(hAPP(c_Code__Numeral_Osubtract__code__numeral,A),B).
% 4.35/4.54 Following clause subsumed by 8679 during input processing: 0 [] {-} hBOOL(hAPP(c_List_Olistsp(A,B),c_List_Olist_ONil(A))).
% 4.35/4.54 Following clause subsumed by 8815 during input processing: 0 [demod,7128,7128,7128,7128] {-} 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).
% 4.35/4.54 Following clause subsumed by 8811 during input processing: 0 [demod,6676,7162,6458,7162,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).
% 4.35/4.54 Following clause subsumed by 6337 during input processing: 0 [demod,6541,7162,6458,7162,8827] {-} 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).
% 4.35/4.54 Following clause subsumed by 8923 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).
% 4.35/4.54 Following clause subsumed by 6337 during input processing: 0 [demod,8947] {-} c_List_Omaps(B,A,C,D)=c_List_Omaps(B,A,C,D).
% 4.35/4.54 Following clause subsumed by 8969 during input processing: 0 [] {-} c_FunDef_Ois__measure(A,B).
% 4.35/4.54 Following clause subsumed by 8969 during input processing: 0 [] {-} c_FunDef_Ois__measure(A,B).
% 4.35/4.54 Following clause subsumed by 6337 during input processing: 0 [demod,9012] {-} hAPP(hAPP(c_List_Olist_OCons(A),B),C)=hAPP(hAPP(c_List_Olist_OCons(A),B),C).
% 4.35/4.54 Following clause subsumed by 9078 during input processing: 0 [demod,6458,7162,5967,5970,6304] {-} A=hAPP(c_Int_Onat,c_Int_OPls)|hAPP(c_List_Oset(B),c_List_Oreplicate(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),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,B),c_fNot),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,B),c_fNot),hAPP(hAPP(c_COMBC(B,B,tc_HOL_Obool),c_fequal),C))))),hAPP(c_COMBK(tc_HOL_Obool,B),c_fFalse)).
% 4.35/4.54 Following clause subsumed by 6337 during input processing: 0 [] {-} A=A.
% 4.35/4.54 5942 back subsumes 829.
% 4.35/4.54 Following clause subsumed by 6337 during input processing: 0 [copy,5944,flip.1] {-} hAPP(A,hAPP(B,C))=hAPP(A,hAPP(B,C)).
% 4.35/4.54 5944 back subsumes 5808.
% 4.35/4.54 5944 back subsumes 5354.
% 4.35/4.54 5944 back subsumes 5353.
% 4.35/4.54 Following clause subsumed by 9763 during input processing: 0 [copy,6016,flip.1,demod,9432,6025,6304,9761,9432,6304,9761,6025] {-} 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_fequal,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),hAPP(c_fequal,B))),D)).
% 4.70/4.93 Following clause subsumed by 6337 during input processing: 0 [copy,6099,flip.1,demod,7602,7602] {-} 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).
% 4.70/4.93 6108 back subsumes 5157.
% 4.70/4.93 Following clause subsumed by 6337 during input processing: 0 [copy,6173,flip.1,demod,6301,7602,9941,7602,6301,7602] {-} 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),C))=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),C)).
% 4.70/4.93 6183 back subsumes 5588.
% 4.70/4.93 Following clause subsumed by 9884 during input processing: 0 [copy,6203,flip.1,demod,6301,7602,6301,7602,6301,7602] {-} 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),C)))),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)))=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))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),C)).
% 4.70/4.93 Following clause subsumed by 6337 during input processing: 0 [copy,6247,flip.1] {-} hAPP(c_COMBK(tc_HOL_Obool,A),c_fTrue)=hAPP(c_COMBK(tc_HOL_Obool,A),c_fTrue).
% 4.70/4.93 Following clause subsumed by 6337 during input processing: 0 [copy,6249,flip.1] {-} hAPP(c_COMBK(tc_HOL_Obool,A),c_fFalse)=hAPP(c_COMBK(tc_HOL_Obool,A),c_fFalse).
% 4.70/4.93 Following clause subsumed by 10054 during input processing: 0 [copy,6263,flip.1,demod,6301,7602,9432,6304,9788,6301,7602,10063,9899,9432,6304,10065,6301,7602,10063] {-} 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))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),hAPP(c_fequal,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),hAPP(c_fequal,D)))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),C))).
% 4.70/4.93 Following clause subsumed by 6337 during input processing: 0 [copy,6296,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).
% 4.70/4.93 6319 back subsumes 5336.
% 4.70/4.93 Following clause subsumed by 6337 during input processing: 0 [copy,6337,flip.1] {-} A=A.
% 4.70/4.93 6337 back subsumes 6296.
% 4.70/4.93 6337 back subsumes 6249.
% 4.70/4.93 6337 back subsumes 6247.
% 4.70/4.93 6337 back subsumes 6099.
% 4.70/4.93 6337 back subsumes 5944.
% 4.70/4.93 6337 back subsumes 5901.
% 4.70/4.93 6337 back subsumes 5900.
% 4.70/4.93 6337 back subsumes 5876.
% 4.70/4.93 6337 back subsumes 5845.
% 4.70/4.93 6337 back subsumes 5820.
% 4.70/4.93 6337 back subsumes 5819.
% 4.70/4.93 6337 back subsumes 5817.
% 4.70/4.93 6337 back subsumes 5816.
% 4.70/4.93 6337 back subsumes 5814.
% 4.70/4.93 6337 back subsumes 5813.
% 4.70/4.93 6337 back subsumes 5812.
% 4.70/4.93 6337 back subsumes 5806.
% 4.70/4.93 6337 back subsumes 5800.
% 4.70/4.93 6337 back subsumes 5786.
% 4.70/4.93 6337 back subsumes 5782.
% 4.70/4.93 6337 back subsumes 5781.
% 4.70/4.93 6337 back subsumes 5766.
% 4.70/4.93 6337 back subsumes 5752.
% 4.70/4.93 6337 back subsumes 5751.
% 4.70/4.93 6337 back subsumes 5744.
% 4.70/4.93 6337 back subsumes 5742.
% 4.70/4.93 6337 back subsumes 5731.
% 4.70/4.93 6337 back subsumes 5727.
% 4.70/4.93 6337 back subsumes 5726.
% 4.70/4.93 6337 back subsumes 5628.
% 4.70/4.93 6337 back subsumes 5625.
% 4.70/4.93 6337 back subsumes 5622.
% 4.70/4.93 6337 back subsumes 5583.
% 4.70/4.93 6337 back subsumes 5582.
% 4.70/4.93 6337 back subsumes 5570.
% 4.70/4.93 6337 back subsumes 5569.
% 4.70/4.93 6337 back subsumes 5548.
% 4.70/4.93 6337 back subsumes 5547.
% 4.70/4.93 6337 back subsumes 5546.
% 4.70/4.93 6337 back subsumes 5525.
% 4.70/4.93 6337 back subsumes 5402.
% 4.70/4.93 6337 back subsumes 5394.
% 4.70/4.93 6337 back subsumes 5381.
% 4.70/4.93 6337 back subsumes 5342.
% 4.70/4.93 6337 back subsumes 5341.
% 4.70/4.93 6337 back subsumes 5339.
% 4.70/4.93 6337 back subsumes 5338.
% 4.70/4.93 6337 back subsumes 5332.
% 4.70/4.93 6337 back subsumes 5319.
% 4.70/4.93 6337 back subsumes 5315.
% 4.70/4.93 6337 back subsumes 5308.
% 4.70/4.93 6337 back subsumes 5305.
% 4.70/4.93 6337 back subsumes 5268.
% 4.70/4.93 6384 back subsumes 3594.
% 6.14/6.37 Following clause subsumed by 6391 during input processing: 0 [copy,6391,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)).
% 6.14/6.37 Following clause subsumed by 6392 during input processing: 0 [copy,6392,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).
% 6.14/6.37 6411 back subsumes 3598.
% 6.14/6.37 6411 back subsumes 3597.
% 6.14/6.37 6411 back subsumes 3596.
% 6.14/6.37 Following clause subsumed by 6519 during input processing: 0 [copy,6519,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).
% 6.14/6.37 6610 back subsumes 5531.
% 6.14/6.37 Following clause subsumed by 6621 during input processing: 0 [copy,6621,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).
% 6.14/6.37 6636 back subsumes 5697.
% 6.14/6.37 6637 back subsumes 2725.
% 6.14/6.37 Following clause subsumed by 6646 during input processing: 0 [copy,6646,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)).
% 6.14/6.37 Following clause subsumed by 6647 during input processing: 0 [copy,6647,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).
% 6.14/6.37 Following clause subsumed by 8829 during input processing: 0 [copy,6684,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).
% 6.14/6.37 Following clause subsumed by 6856 during input processing: 0 [copy,6855,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).
% 6.14/6.37 Following clause subsumed by 6855 during input processing: 0 [copy,6856,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)).
% 6.14/6.37 Following clause subsumed by 6869 during input processing: 0 [copy,6867,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)).
% 6.14/6.37 Following clause subsumed by 6867 during input processing: 0 [copy,6869,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).
% 6.14/6.37 7512 back subsumes 7510.
% 6.14/6.37 7850 back subsumes 5801.
% 6.14/6.37 Following clause subsumed by 11255 during input processing: 0 [copy,7959,flip.1,demod,7961,8176] {-} 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)).
% 6.14/6.37 Following clause subsumed by 8007 during input processing: 0 [copy,8003,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).
% 6.14/6.37 Following clause subsumed by 8009 during input processing: 0 [copy,8005,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)).
% 6.14/6.37 Following clause subsumed by 8003 during input processing: 0 [copy,8007,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)).
% 6.14/6.37 Following clause subsumed by 8005 during input processing: 0 [copy,8009,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)).
% 6.14/6.37 Following clause subsumed by 8019 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_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).
% 6.14/6.37 Following clause subsumed by 8018 during input processing: 0 [copy,8019,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)).
% 6.14/6.37 Following clause subsumed by 8034 during input processing: 0 [copy,8032,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))).
% 6.14/6.37 Following clause subsumed by 8032 during input processing: 0 [copy,8034,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)).
% 6.45/6.66 Following clause subsumed by 8036 during input processing: 0 [copy,8035,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).
% 6.45/6.66 Following clause subsumed by 8035 during input processing: 0 [copy,8036,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)).
% 6.45/6.66 Following clause subsumed by 8064 during input processing: 0 [copy,8063,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)).
% 6.45/6.66 Following clause subsumed by 8063 during input processing: 0 [copy,8064,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).
% 6.45/6.66 Following clause subsumed by 8115 during input processing: 0 [copy,8114,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)).
% 6.45/6.66 Following clause subsumed by 8114 during input processing: 0 [copy,8115,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).
% 6.45/6.66 Following clause subsumed by 11245 during input processing: 0 [copy,8177,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)).
% 6.45/6.66 8255 back subsumes 8248.
% 6.45/6.66 8298 back subsumes 4349.
% 6.45/6.66 Following clause subsumed by 8327 during input processing: 0 [copy,8327,flip.1] {-} c_List_Oremove1(A,B,c_List_Oremove1(A,C,D))=c_List_Oremove1(A,C,c_List_Oremove1(A,B,D)).
% 6.45/6.66 Following clause subsumed by 11604 during input processing: 0 [copy,8350,flip.1,demod,10658] {-} 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))).
% 6.45/6.66 8374 back subsumes 4421.
% 6.45/6.66 8381 back subsumes 8330.
% 6.45/6.66 Following clause subsumed by 8502 during input processing: 0 [copy,8501,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)).
% 6.45/6.66 Following clause subsumed by 8501 during input processing: 0 [copy,8502,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)).
% 6.45/6.66 8731 back subsumes 4774.
% 6.45/6.66 Following clause subsumed by 6684 during input processing: 0 [copy,8829,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).
% 6.45/6.66 8969 back subsumes 8968.
% 6.45/6.66 8969 back subsumes 5044.
% 6.45/6.66 8969 back subsumes 5043.
% 6.45/6.66 8969 back subsumes 5042.
% 6.45/6.66 9163 back subsumes 9162.
% 6.45/6.66 Following clause subsumed by 5906 during input processing: 0 [copy,9382,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).
% 6.45/6.66 Following clause subsumed by 5907 during input processing: 0 [copy,9383,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).
% 6.54/6.76 Following clause subsumed by 5926 during input processing: 0 [copy,9385,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).
% 6.54/6.76 Following clause subsumed by 5927 during input processing: 0 [copy,9386,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).
% 6.54/6.76 Following clause subsumed by 5928 during input processing: 0 [copy,9387,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).
% 6.54/6.76 Following clause subsumed by 5941 during input processing: 0 [copy,9389,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).
% 6.54/6.76 Following clause subsumed by 5942 during input processing: 0 [copy,9390,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).
% 6.54/6.76 Following clause subsumed by 5971 during input processing: 0 [copy,9757,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).
% 6.54/6.76 Following clause subsumed by 5972 during input processing: 0 [copy,9758,flip.1] {-} c_Com_Ovname_Ovname__rec(A,B,C,c_Com_Ovname_OLoc(D))=hAPP(C,D).
% 6.54/6.76 Following clause subsumed by 5973 during input processing: 0 [copy,9759,flip.1] {-} c_Com_Ovname_Ovname__case(A,B,C,c_Com_Ovname_OLoc(D))=hAPP(C,D).
% 6.54/6.76 Following clause subsumed by 9793 during input processing: 0 [copy,9762,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)).
% 6.54/6.76 Following clause subsumed by 9763 during input processing: 0 [copy,9763,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)).
% 6.54/6.76 Following clause subsumed by 9764 during input processing: 0 [copy,9764,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).
% 6.54/6.76 Following clause subsumed by 5990 during input processing: 0 [copy,9779,flip.1] {-} c_Com_Ovname_Ovname__case(A,B,C,c_Com_Ovname_OGlb(D))=hAPP(B,D).
% 6.54/6.76 Following clause subsumed by 5991 during input processing: 0 [copy,9780,flip.1] {-} c_Com_Ovname_Ovname__rec(A,B,C,c_Com_Ovname_OGlb(D))=hAPP(B,D).
% 6.54/6.76 Following clause subsumed by 6001 during input processing: 0 [copy,9781,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).
% 6.54/6.76 9781 back subsumes 6754.
% 6.54/6.76 Following clause subsumed by 9762 during input processing: 0 [copy,9793,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)).
% 6.54/6.76 Following clause subsumed by 11386 during input processing: 0 [copy,9875,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))).
% 6.54/6.77 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)).
% 6.54/6.77 Following clause subsumed by 9880 during input processing: 0 [copy,9880,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).
% 6.54/6.77 Following clause subsumed by 6053 during input processing: 0 [copy,9881,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).
% 6.54/6.77 Following clause subsumed by 6070 during input processing: 0 [copy,9882,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)).
% 6.54/6.77 Following clause subsumed by 9888 during input processing: 0 [copy,9884,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)).
% 6.54/6.77 Following clause subsumed by 6087 during input processing: 0 [copy,9885,flip.1] {-} hAPP(c_Set_Ovimage(A,B,C),D)=hAPP(hAPP(c_COMBB(B,tc_HOL_Obool,A),D),C).
% 6.54/6.77 Following clause subsumed by 9884 during input processing: 0 [copy,9888,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).
% 6.54/6.77 Following clause subsumed by 6104 during input processing: 0 [copy,9934,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)).
% 6.54/6.77 Following clause subsumed by 9950 during input processing: 0 [copy,9935,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))).
% 6.54/6.77 Following clause subsumed by 9937 during input processing: 0 [copy,9936,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).
% 6.54/6.77 Following clause subsumed by 9936 during input processing: 0 [copy,9937,flip.1] {-} hAPP(c_COMBK(tc_HOL_Obool,A),c_fTrue)=hAPP(c_Set_Ovimage(A,B,C),hAPP(c_COMBK(tc_HOL_Obool,B),c_fTrue)).
% 6.54/6.77 9949 back subsumes 8646.
% 6.54/6.77 9949 back subsumes 6156.
% 6.54/6.77 Following clause subsumed by 9935 during input processing: 0 [copy,9950,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)).
% 6.54/6.77 Following clause subsumed by 10055 during input processing: 0 [copy,10054,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))).
% 6.63/6.87 Following clause subsumed by 10054 during input processing: 0 [copy,10055,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)).
% 6.63/6.87 Following clause subsumed by 10061 during input processing: 0 [copy,10058,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)).
% 6.63/6.87 Following clause subsumed by 10058 during input processing: 0 [copy,10061,flip.1] {-} hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),hAPP(c_Set_Ovimage(A,B,C),D))=hAPP(c_Set_Ovimage(A,B,C),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,B),c_fNot),D)).
% 6.63/6.87 Following clause subsumed by 10079 during input processing: 0 [copy,10072,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).
% 6.63/6.87 Following clause subsumed by 10072 during input processing: 0 [copy,10079,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).
% 6.63/6.87 Following clause subsumed by 6350 during input processing: 0 [copy,10127,flip.1] {-} c_Nat_Onat_Onat__case(A,B,C,hAPP(c_Nat_OSuc,D))=hAPP(C,D).
% 6.63/6.87 Following clause subsumed by 10584 during input processing: 0 [copy,10128,flip.1,demod,10212,10212,10212] {-} 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_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls)))),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_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls)))),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_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls)))),c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B),A),C)).
% 6.63/6.87 Following clause subsumed by 6382 during input processing: 0 [copy,10129,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)).
% 6.63/6.87 Following clause subsumed by 10230 during input processing: 0 [copy,10208,flip.1] {-} hAPP(hAPP(c_Nat_Ocompow(A,A),hAPP(c_Int_Onat,c_Int_OPls)),B)=c_Fun_Oid(A).
% 6.63/6.87 Following clause subsumed by 6449 during input processing: 0 [copy,10217,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))).
% 6.63/6.87 Following clause subsumed by 6454 during input processing: 0 [copy,10218,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))).
% 6.63/6.87 Following clause subsumed by 10208 during input processing: 0 [copy,10230,flip.1] {-} c_Fun_Oid(A)=hAPP(hAPP(c_Nat_Ocompow(A,A),hAPP(c_Int_Onat,c_Int_OPls)),B).
% 6.63/6.87 Following clause subsumed by 6471 during input processing: 0 [copy,10497,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)).
% 6.63/6.87 Following clause subsumed by 6492 during input processing: 0 [copy,10500,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)).
% 6.63/6.88 Following clause subsumed by 6510 during input processing: 0 [copy,10505,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)).
% 6.63/6.88 Following clause subsumed by 6580 during input processing: 0 [copy,10513,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)).
% 6.63/6.88 Following clause subsumed by 6618 during input processing: 0 [copy,10531,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)).
% 6.63/6.88 Following clause subsumed by 6624 during input processing: 0 [copy,10532,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)).
% 6.63/6.88 Following clause subsumed by 10826 during input processing: 0 [copy,10558,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))).
% 6.63/6.88 10561 back subsumes 1705.
% 6.63/6.88 Following clause subsumed by 12200 during input processing: 0 [copy,10584,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_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls)))),c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),A),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_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls)))),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_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls)))),c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,A,C)))).
% 6.63/6.88 Following clause subsumed by 11597 during input processing: 0 [copy,10634,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).
% 6.63/6.88 Following clause subsumed by 10644 during input processing: 0 [copy,10635,flip.1] {-} 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_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls)))),c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,A,B))),A)=hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_Nat_Onat),B),A).
% 6.63/6.88 Following clause subsumed by 12197 during input processing: 0 [copy,10639,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_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls)))),c_SetInterval_Oord__class_OgreaterThanLessThan(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_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls)))),c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,hAPP(c_Nat_OSuc,A),B)).
% 6.63/6.88 Following clause subsumed by 10635 during input processing: 0 [copy,10644,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_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls)))),c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,B,A))),B).
% 6.63/6.88 Following clause subsumed by 6830 during input processing: 0 [copy,10684,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).
% 6.63/6.88 Following clause subsumed by 11136 during input processing: 0 [copy,10685,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).
% 6.63/6.88 Following clause subsumed by 6850 during input processing: 0 [copy,10686,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)))).
% 6.63/6.88 Following clause subsumed by 6852 during input processing: 0 [copy,10687,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))).
% 6.63/6.88 Following clause subsumed by 6868 during input processing: 0 [copy,10688,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)).
% 6.63/6.88 Following clause subsumed by 6871 during input processing: 0 [copy,10689,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)).
% 6.63/6.88 Following clause subsumed by 6873 during input processing: 0 [copy,10690,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)).
% 6.63/6.88 Following clause subsumed by 10693 during input processing: 0 [copy,10691,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)).
% 6.63/6.88 Following clause subsumed by 10694 during input processing: 0 [copy,10692,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).
% 6.63/6.88 Following clause subsumed by 10691 during input processing: 0 [copy,10693,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)).
% 6.63/6.88 Following clause subsumed by 10692 during input processing: 0 [copy,10694,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)).
% 6.63/6.88 Following clause subsumed by 10697 during input processing: 0 [copy,10696,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)).
% 6.63/6.88 Following clause subsumed by 10696 during input processing: 0 [copy,10697,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)).
% 6.63/6.89 Following clause subsumed by 6888 during input processing: 0 [copy,10698,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)).
% 6.63/6.89 Following clause subsumed by 11294 during input processing: 0 [copy,10701,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)).
% 6.63/6.89 Following clause subsumed by 11261 during input processing: 0 [copy,10710,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)).
% 6.63/6.89 Following clause subsumed by 7050 during input processing: 0 [copy,10711,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)))).
% 6.63/6.89 Following clause subsumed by 7100 during input processing: 0 [copy,10716,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))).
% 6.63/6.89 Following clause subsumed by 7104 during input processing: 0 [copy,10718,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)))).
% 6.63/6.89 Following clause subsumed by 7107 during input processing: 0 [copy,10719,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)).
% 6.63/6.89 Following clause subsumed by 7109 during input processing: 0 [copy,10720,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).
% 6.63/6.89 Following clause subsumed by 7111 during input processing: 0 [copy,10721,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)).
% 6.63/6.89 Following clause subsumed by 7113 during input processing: 0 [copy,10722,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)).
% 6.63/6.89 10722 back subsumes 9886.
% 6.75/6.93 Following clause subsumed by 10558 during input processing: 0 [copy,10826,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).
% 6.75/6.93 10956 back subsumes 10543.
% 6.75/6.93 11082 back subsumes 10757.
% 6.75/6.93 11123 back subsumes 10329.
% 6.75/6.93 Following clause subsumed by 10685 during input processing: 0 [copy,11136,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))).
% 6.75/6.93 Following clause subsumed by 7198 during input processing: 0 [copy,11174,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)).
% 6.75/6.93 11190 back subsumes 10858.
% 6.75/6.93 11190 back subsumes 10857.
% 6.75/6.93 Following clause subsumed by 7230 during input processing: 0 [copy,11205,flip.1] {-} 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)))=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))).
% 6.75/6.93 Following clause subsumed by 7232 during input processing: 0 [copy,11206,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)).
% 6.75/6.93 Following clause subsumed by 7234 during input processing: 0 [copy,11207,flip.1] {-} 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))=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)).
% 6.75/6.93 Following clause subsumed by 7258 during input processing: 0 [copy,11213,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))).
% 6.75/6.93 Following clause subsumed by 7289 during input processing: 0 [copy,11216,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).
% 6.75/6.93 Following clause subsumed by 11542 during input processing: 0 [copy,11240,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))).
% 6.75/6.93 Following clause subsumed by 11541 during input processing: 0 [copy,11241,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))).
% 6.75/6.93 Following clause subsumed by 8177 during input processing: 0 [copy,11245,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).
% 6.75/6.93 Following clause subsumed by 7405 during input processing: 0 [copy,11246,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).
% 6.75/6.93 Following clause subsumed by 7419 during input processing: 0 [copy,11248,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).
% 6.75/6.93 Following clause subsumed by 7424 during input processing: 0 [copy,11249,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).
% 6.75/6.93 Following clause subsumed by 7428 during input processing: 0 [copy,11250,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)).
% 6.75/6.93 Following clause subsumed by 11531 during input processing: 0 [copy,11251,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)).
% 6.75/6.93 Following clause subsumed by 7443 during input processing: 0 [copy,11252,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)).
% 6.75/6.93 Following clause subsumed by 7462 during input processing: 0 [copy,11253,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)).
% 6.75/6.93 Following clause subsumed by 7486 during input processing: 0 [copy,11254,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).
% 6.75/6.93 Following clause subsumed by 11525 during input processing: 0 [copy,11255,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)).
% 6.75/6.93 Following clause subsumed by 10710 during input processing: 0 [copy,11261,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))).
% 6.75/6.93 Following clause subsumed by 11522 during input processing: 0 [copy,11276,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)).
% 6.75/6.93 Following clause subsumed by 10701 during input processing: 0 [copy,11294,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))).
% 6.75/6.93 Following clause subsumed by 7506 during input processing: 0 [copy,11298,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).
% 6.75/6.93 Following clause subsumed by 11364 during input processing: 0 [copy,11302,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))).
% 6.75/6.94 Following clause subsumed by 11325 during input processing: 0 [copy,11305,flip.1] {-} hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_prod(A,B),tc_Nat_Onat),hAPP(c_COMBK(tc_Nat_Onat,tc_prod(A,B)),hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls)))),c_Nitpick_Oprod(A,B,C,D))=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_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls)))),C)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(B,tc_Nat_Onat),hAPP(c_COMBK(tc_Nat_Onat,B),hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls)))),D)).
% 6.75/6.94 Following clause subsumed by 11324 during input processing: 0 [copy,11306,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).
% 6.75/6.94 Following clause subsumed by 7523 during input processing: 0 [copy,11309,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)).
% 6.75/6.94 Following clause subsumed by 7525 during input processing: 0 [copy,11310,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)).
% 6.75/6.94 Following clause subsumed by 11363 during input processing: 0 [copy,11313,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)).
% 6.75/6.94 Following clause subsumed by 11306 during input processing: 0 [copy,11324,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)).
% 6.75/6.94 Following clause subsumed by 11305 during input processing: 0 [copy,11325,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_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls)))),B)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(C,tc_Nat_Onat),hAPP(c_COMBK(tc_Nat_Onat,C),hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls)))),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_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls)))),c_Nitpick_Oprod(A,C,B,D)).
% 6.75/6.94 11328 back subsumes 9952.
% 6.75/6.94 11329 back subsumes 9953.
% 6.75/6.94 11347 back subsumes 9994.
% 6.75/6.94 Following clause subsumed by 7555 during input processing: 0 [copy,11352,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))).
% 6.75/6.95 Following clause subsumed by 7578 during input processing: 0 [copy,11358,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).
% 6.75/6.95 Following clause subsumed by 11313 during input processing: 0 [copy,11363,flip.1] {-} 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),E),D))=hAPP(hAPP(c_Product__Type_OSigma(A,B),hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,C)),E)),D).
% 6.75/6.95 Following clause subsumed by 11302 during input processing: 0 [copy,11364,flip.1] {-} 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),E),D)))=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),E))),D).
% 6.75/6.95 11381 back subsumes 10093.
% 6.75/6.95 Following clause subsumed by 9875 during input processing: 0 [copy,11386,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).
% 6.75/6.95 Following clause subsumed by 7607 during input processing: 0 [copy,11390,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))).
% 6.75/6.95 Following clause subsumed by 7608 during input processing: 0 [copy,11391,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))).
% 6.75/6.95 Following clause subsumed by 7609 during input processing: 0 [copy,11392,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).
% 6.75/6.95 Following clause subsumed by 7610 during input processing: 0 [copy,11393,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).
% 6.75/6.95 Following clause subsumed by 7611 during input processing: 0 [copy,11394,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)).
% 6.75/6.95 Following clause subsumed by 7612 during input processing: 0 [copy,11395,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).
% 6.75/6.95 Following clause subsumed by 7613 during input processing: 0 [copy,11396,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)).
% 6.75/6.95 Following clause subsumed by 11517 during input processing: 0 [copy,11397,flip.1] {-} c_Product__Type_Oapfst(A,A,B,c_Fun_Oid(A))=hAPP(c_Product__Type_Ointernal__split(A,B,tc_prod(A,B)),c_Product__Type_OPair(A,B)).
% 6.75/6.95 Following clause subsumed by 7676 during input processing: 0 [copy,11407,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)).
% 6.75/6.95 Following clause subsumed by 7677 during input processing: 0 [copy,11408,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)).
% 6.75/6.95 Following clause subsumed by 7680 during input processing: 0 [copy,11409,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)).
% 6.75/6.95 Following clause subsumed by 7681 during input processing: 0 [copy,11410,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).
% 6.75/6.95 Following clause subsumed by 7685 during input processing: 0 [copy,11411,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)).
% 6.75/6.95 Following clause subsumed by 7686 during input processing: 0 [copy,11412,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)).
% 6.75/6.95 Following clause subsumed by 11516 during input processing: 0 [copy,11413,flip.1] {-} c_Product__Type_Omap__pair(A,A,B,B,c_COMBI(A),c_COMBI(B))=hAPP(c_Product__Type_Ointernal__split(A,B,tc_prod(A,B)),c_Product__Type_OPair(A,B)).
% 6.75/6.95 Following clause subsumed by 7693 during input processing: 0 [copy,11415,flip.1] {-} c_Product__Type_Oapsnd(A,B,C,D)=c_Product__Type_Omap__pair(C,C,A,B,c_Fun_Oid(C),D).
% 6.75/6.95 Following clause subsumed by 7694 during input processing: 0 [copy,11416,flip.1] {-} c_Product__Type_Oapfst(A,B,C,D)=c_Product__Type_Omap__pair(A,B,C,C,D,c_Fun_Oid(C)).
% 6.75/6.95 Following clause subsumed by 11515 during input processing: 0 [copy,11417,flip.1] {-} c_Product__Type_Omap__pair(A,A,B,B,c_Fun_Oid(A),c_Fun_Oid(B))=hAPP(c_Product__Type_Ointernal__split(A,B,tc_prod(A,B)),c_Product__Type_OPair(A,B)).
% 6.75/6.95 Following clause subsumed by 11681 during input processing: 0 [copy,11418,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).
% 6.75/6.95 Following clause subsumed by 7727 during input processing: 0 [copy,11419,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)).
% 6.75/6.95 Following clause subsumed by 7729 during input processing: 0 [copy,11420,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)).
% 6.75/6.95 Following clause subsumed by 7730 during input processing: 0 [copy,11421,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)).
% 6.75/6.95 Following clause subsumed by 7731 during input processing: 0 [copy,11422,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)).
% 6.75/6.95 Following clause subsumed by 7732 during input processing: 0 [copy,11423,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)).
% 6.75/6.95 Following clause subsumed by 7737 during input processing: 0 [copy,11424,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).
% 6.75/6.95 Following clause subsumed by 7739 during input processing: 0 [copy,11425,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).
% 6.75/6.95 Following clause subsumed by 7741 during input processing: 0 [copy,11426,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)).
% 6.75/6.95 Following clause subsumed by 7742 during input processing: 0 [copy,11427,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)).
% 6.75/6.95 Following clause subsumed by 7777 during input processing: 0 [copy,11429,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)).
% 6.75/6.95 Following clause subsumed by 7824 during input processing: 0 [copy,11432,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)).
% 6.75/6.95 Following clause subsumed by 7843 during input processing: 0 [copy,11435,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).
% 6.75/6.95 Following clause subsumed by 7845 during input processing: 0 [copy,11436,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))).
% 6.75/6.95 Following clause subsumed by 7927 during input processing: 0 [copy,11442,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)).
% 6.75/6.95 Following clause subsumed by 7929 during input processing: 0 [copy,11443,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)).
% 6.75/6.95 Following clause subsumed by 7936 during input processing: 0 [copy,11444,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)).
% 6.75/6.95 Following clause subsumed by 7944 during input processing: 0 [copy,11445,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)).
% 6.75/6.95 Following clause subsumed by 11255 during input processing: 0 [copy,11446,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)).
% 6.75/6.95 Following clause subsumed by 7964 during input processing: 0 [copy,11447,flip.1] {-} hAPP(hAPP(c_Product__Type_Oscomp(A,B,A,C),hAPP(c_Product__Type_OPair(B,A),D)),E)=hAPP(E,D).
% 6.75/6.95 Following clause subsumed by 7965 during input processing: 0 [copy,11448,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)).
% 6.75/6.95 Following clause subsumed by 12164 during input processing: 0 [copy,11477,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)).
% 6.75/6.95 Following clause subsumed by 11479 during input processing: 0 [copy,11478,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)).
% 6.75/6.95 Following clause subsumed by 11478 during input processing: 0 [copy,11479,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)))).
% 6.75/6.95 Following clause subsumed by 8001 during input processing: 0 [copy,11480,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))).
% 6.75/6.95 Following clause subsumed by 8011 during input processing: 0 [copy,11481,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)).
% 6.75/6.95 Following clause subsumed by 8016 during input processing: 0 [copy,11482,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)).
% 6.75/6.95 Following clause subsumed by 8017 during input processing: 0 [copy,11483,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)).
% 6.75/6.95 Following clause subsumed by 8026 during input processing: 0 [copy,11484,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))).
% 6.75/6.95 Following clause subsumed by 8030 during input processing: 0 [copy,11486,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)).
% 6.75/6.95 Following clause subsumed by 8037 during input processing: 0 [copy,11487,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)).
% 6.75/6.95 Following clause subsumed by 8039 during input processing: 0 [copy,11488,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))).
% 6.75/6.95 Following clause subsumed by 8045 during input processing: 0 [copy,11489,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))).
% 6.75/6.95 Following clause subsumed by 8058 during input processing: 0 [copy,11490,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)).
% 6.75/6.95 Following clause subsumed by 8071 during input processing: 0 [copy,11491,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)).
% 6.75/6.95 Following clause subsumed by 8072 during input processing: 0 [copy,11492,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)).
% 6.75/6.95 Following clause subsumed by 8077 during input processing: 0 [copy,11493,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)).
% 6.75/6.95 Following clause subsumed by 8123 during input processing: 0 [copy,11496,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))).
% 6.75/6.95 Following clause subsumed by 8128 during input processing: 0 [copy,11497,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))).
% 6.75/6.95 Following clause subsumed by 11417 during input processing: 0 [copy,11515,flip.1] {-} hAPP(c_Product__Type_Ointernal__split(A,B,tc_prod(A,B)),c_Product__Type_OPair(A,B))=c_Product__Type_Omap__pair(A,A,B,B,c_Fun_Oid(A),c_Fun_Oid(B)).
% 6.75/6.95 Following clause subsumed by 11413 during input processing: 0 [copy,11516,flip.1] {-} hAPP(c_Product__Type_Ointernal__split(A,B,tc_prod(A,B)),c_Product__Type_OPair(A,B))=c_Product__Type_Omap__pair(A,A,B,B,c_COMBI(A),c_COMBI(B)).
% 6.75/6.95 Following clause subsumed by 11397 during input processing: 0 [copy,11517,flip.1] {-} hAPP(c_Product__Type_Ointernal__split(A,B,tc_prod(A,B)),c_Product__Type_OPair(A,B))=c_Product__Type_Oapfst(A,A,B,c_Fun_Oid(A)).
% 6.75/6.95 Following clause subsumed by 11276 during input processing: 0 [copy,11522,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).
% 6.75/6.95 Following clause subsumed by 11255 during input processing: 0 [copy,11525,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).
% 6.75/6.95 11525 back subsumes 11446.
% 6.75/6.95 Following clause subsumed by 11251 during input processing: 0 [copy,11531,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)).
% 6.75/6.96 Following clause subsumed by 11241 during input processing: 0 [copy,11541,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).
% 6.75/6.96 Following clause subsumed by 11240 during input processing: 0 [copy,11542,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).
% 6.75/6.96 Following clause subsumed by 12276 during input processing: 0 [copy,11562,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))).
% 6.75/6.96 Following clause subsumed by 11873 during input processing: 0 [copy,11589,flip.1] {-} hAPP(c_List_Omember(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_Omember(A),C)))).
% 6.75/6.96 Following clause subsumed by 8271 during input processing: 0 [copy,11590,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))).
% 6.75/6.96 Following clause subsumed by 8272 during input processing: 0 [copy,11591,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)).
% 6.75/6.96 Following clause subsumed by 8273 during input processing: 0 [copy,11592,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).
% 6.75/6.96 Following clause subsumed by 10634 during input processing: 0 [copy,11597,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).
% 6.75/6.96 Following clause subsumed by 8304 during input processing: 0 [copy,11598,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).
% 6.75/6.96 Following clause subsumed by 8305 during input processing: 0 [copy,11599,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).
% 6.75/6.96 Following clause subsumed by 8311 during input processing: 0 [copy,11600,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))).
% 6.75/6.96 Following clause subsumed by 8312 during input processing: 0 [copy,11601,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)).
% 6.75/6.96 Following clause subsumed by 8335 during input processing: 0 [copy,11602,flip.1] {-} hAPP(hAPP(c_List_Ozip(A,B),c_List_Olist_ONil(A)),C)=c_List_Olist_ONil(tc_prod(A,B)).
% 6.75/6.96 Following clause subsumed by 8336 during input processing: 0 [copy,11603,flip.1] {-} hAPP(hAPP(c_List_Ozip(A,B),C),c_List_Olist_ONil(B))=c_List_Olist_ONil(tc_prod(A,B)).
% 6.75/6.96 Following clause subsumed by 8338 during input processing: 0 [copy,11604,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).
% 6.75/6.96 Following clause subsumed by 8345 during input processing: 0 [copy,11605,flip.1] {-} c_Enum_Oproduct(A,B,c_List_Olist_ONil(A),C)=c_List_Olist_ONil(tc_prod(A,B)).
% 6.75/6.96 Following clause subsumed by 8354 during input processing: 0 [copy,11606,flip.1] {-} c_Enum_On__lists(A,hAPP(c_Int_Onat,c_Int_OPls),B)=c_Enum_Osublists(A,c_List_Olist_ONil(A)).
% 6.75/6.96 Following clause subsumed by 11738 during input processing: 0 [copy,11607,flip.1] {-} c_List_Osublist(A,hAPP(hAPP(c_List_Olist_OCons(A),B),C),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(c_Int_Onat,c_Int_OPls),hAPP(c_Int_Onat,c_Int_OPls)))=c_List_Oinsert(A,B,c_List_Olist_ONil(A)).
% 6.75/6.96 Following clause subsumed by 8373 during input processing: 0 [copy,11608,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).
% 6.75/6.96 Following clause subsumed by 8395 during input processing: 0 [copy,11609,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).
% 6.75/6.96 Following clause subsumed by 8400 during input processing: 0 [copy,11610,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).
% 6.75/6.96 Following clause subsumed by 8429 during input processing: 0 [copy,11615,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)).
% 6.75/6.96 Following clause subsumed by 8452 during input processing: 0 [copy,11616,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)).
% 6.75/6.96 Following clause subsumed by 8481 during input processing: 0 [copy,11617,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).
% 6.75/6.96 Following clause subsumed by 11732 during input processing: 0 [copy,11618,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))).
% 6.75/6.96 Following clause subsumed by 8488 during input processing: 0 [copy,11619,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))).
% 6.75/6.96 Following clause subsumed by 8507 during input processing: 0 [copy,11620,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)).
% 6.75/6.96 Following clause subsumed by 8523 during input processing: 0 [copy,11621,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)).
% 6.75/6.96 Following clause subsumed by 8530 during input processing: 0 [copy,11622,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)).
% 6.75/6.96 Following clause subsumed by 8531 during input processing: 0 [copy,11623,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)).
% 6.75/6.96 Following clause subsumed by 8532 during input processing: 0 [copy,11624,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).
% 6.75/6.96 Following clause subsumed by 8546 during input processing: 0 [copy,11625,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).
% 6.75/6.96 Following clause subsumed by 8547 during input processing: 0 [copy,11626,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).
% 6.75/6.96 Following clause subsumed by 8560 during input processing: 0 [copy,11627,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).
% 6.75/6.96 Following clause subsumed by 8561 during input processing: 0 [copy,11628,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)).
% 6.75/6.96 Following clause subsumed by 8562 during input processing: 0 [copy,11629,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)).
% 6.75/6.96 Following clause subsumed by 8563 during input processing: 0 [copy,11630,flip.1] {-} hAPP(hAPP(c_List_Omap(A,B),C),c_List_Olist_ONil(A))=c_List_Olist_ONil(B).
% 6.75/6.96 Following clause subsumed by 8569 during input processing: 0 [copy,11631,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).
% 6.75/6.96 Following clause subsumed by 11839 during input processing: 0 [copy,11632,flip.1] {-} hAPP(c_List_Omember(A),hAPP(hAPP(c_List_Omap(B,A),C),D))=hAPP(c_Set_Oimage(B,A,C),hAPP(c_List_Omember(B),D)).
% 6.75/6.96 Following clause subsumed by 8577 during input processing: 0 [copy,11633,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)).
% 6.75/6.96 Following clause subsumed by 8578 during input processing: 0 [copy,11634,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).
% 6.75/6.96 Following clause subsumed by 8580 during input processing: 0 [copy,11635,flip.1] {-} hAPP(hAPP(c_List_Ozip(A,B),C),hAPP(hAPP(c_List_Omap(D,B),E),F))=hAPP(hAPP(c_List_Omap(tc_prod(A,D),tc_prod(A,B)),hAPP(c_Product__Type_Ointernal__split(A,D,tc_prod(A,B)),hAPP(hAPP(c_COMBC(A,tc_fun(D,B),tc_fun(D,tc_prod(A,B))),hAPP(hAPP(c_COMBB(tc_fun(B,tc_prod(A,B)),tc_fun(tc_fun(D,B),tc_fun(D,tc_prod(A,B))),A),c_COMBB(B,tc_prod(A,B),D)),c_Product__Type_OPair(A,B))),E))),hAPP(hAPP(c_List_Ozip(A,D),C),F)).
% 6.75/6.96 Following clause subsumed by 8582 during input processing: 0 [copy,11636,flip.1] {-} hAPP(hAPP(c_List_Omap(tc_prod(A,B),C),D),hAPP(hAPP(c_List_Ozip(A,B),E),hAPP(hAPP(c_List_Omap(F,B),G),H)))=hAPP(hAPP(c_List_Omap(tc_prod(A,F),C),hAPP(c_Product__Type_Ointernal__split(A,F,C),hAPP(hAPP(c_COMBB(tc_fun(F,tc_prod(A,B)),tc_fun(F,C),A),hAPP(c_COMBB(tc_prod(A,B),C,F),D)),hAPP(hAPP(c_COMBC(A,tc_fun(F,B),tc_fun(F,tc_prod(A,B))),hAPP(hAPP(c_COMBB(tc_fun(B,tc_prod(A,B)),tc_fun(tc_fun(F,B),tc_fun(F,tc_prod(A,B))),A),c_COMBB(B,tc_prod(A,B),F)),c_Product__Type_OPair(A,B))),G)))),hAPP(hAPP(c_List_Ozip(A,F),E),H)).
% 6.75/6.96 Following clause subsumed by 8584 during input processing: 0 [copy,11637,flip.1] {-} hAPP(hAPP(c_List_Omap(tc_prod(A,B),C),D),hAPP(hAPP(c_List_Ozip(A,B),hAPP(hAPP(c_List_Omap(E,A),F),G)),H))=hAPP(hAPP(c_List_Omap(tc_prod(E,B),C),hAPP(c_Product__Type_Ointernal__split(E,B,C),hAPP(hAPP(c_COMBB(tc_fun(B,tc_prod(A,B)),tc_fun(B,C),E),hAPP(c_COMBB(tc_prod(A,B),C,B),D)),hAPP(hAPP(c_COMBB(A,tc_fun(B,tc_prod(A,B)),E),c_Product__Type_OPair(A,B)),F)))),hAPP(hAPP(c_List_Ozip(E,B),G),H)).
% 6.75/6.96 Following clause subsumed by 8586 during input processing: 0 [copy,11638,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)).
% 6.75/6.96 Following clause subsumed by 8588 during input processing: 0 [copy,11639,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)),hAPP(c_Product__Type_Ointernal__split(C,F,tc_prod(A,B)),hAPP(hAPP(c_COMBC(C,tc_fun(F,B),tc_fun(F,tc_prod(A,B))),hAPP(hAPP(c_COMBB(tc_fun(B,tc_prod(A,B)),tc_fun(tc_fun(F,B),tc_fun(F,tc_prod(A,B))),C),c_COMBB(B,tc_prod(A,B),F)),hAPP(hAPP(c_COMBB(A,tc_fun(B,tc_prod(A,B)),C),c_Product__Type_OPair(A,B)),D))),G))),hAPP(hAPP(c_List_Ozip(C,F),E),H)).
% 6.75/6.96 Following clause subsumed by 8589 during input processing: 0 [copy,11640,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)).
% 6.75/6.96 Following clause subsumed by 8592 during input processing: 0 [copy,11641,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)).
% 6.75/6.96 Following clause subsumed by 8593 during input processing: 0 [copy,11642,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).
% 6.75/6.96 Following clause subsumed by 8594 during input processing: 0 [copy,11643,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)).
% 6.75/6.96 Following clause subsumed by 8595 during input processing: 0 [copy,11644,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).
% 6.75/6.97 Following clause subsumed by 8602 during input processing: 0 [copy,11647,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)).
% 6.75/6.97 Following clause subsumed by 8603 during input processing: 0 [copy,11648,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))))).
% 6.75/6.97 Following clause subsumed by 12219 during input processing: 0 [copy,11679,flip.1] {-} hAPP(hAPP(c_Code__Numeral_Osubtract__code__numeral,hAPP(c_Code__Numeral_Oof__nat,A)),hAPP(c_Code__Numeral_Oof__nat,B))=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_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls)))),c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,B,A))).
% 6.75/6.97 Following clause subsumed by 8651 during input processing: 0 [copy,11680,flip.1] {-} hAPP(c_Code__Numeral_Onat__of,A)=c_Code__Numeral_Onat__of__aux(A,hAPP(c_Int_Onat,c_Int_OPls)).
% 6.75/6.97 Following clause subsumed by 11418 during input processing: 0 [copy,11681,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)))).
% 6.75/6.97 Following clause subsumed by 8684 during input processing: 0 [copy,11693,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)).
% 6.75/6.97 Following clause subsumed by 8708 during input processing: 0 [copy,11696,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)).
% 6.75/6.97 Following clause subsumed by 8737 during input processing: 0 [copy,11700,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)).
% 6.75/6.97 Following clause subsumed by 8760 during input processing: 0 [copy,11701,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).
% 6.75/6.97 Following clause subsumed by 8761 during input processing: 0 [copy,11702,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).
% 6.75/6.97 Following clause subsumed by 11824 during input processing: 0 [copy,11703,flip.1] {-} hAPP(c_List_Omember(A),hAPP(c_List_Ofilter(A,B),C))=hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,hAPP(c_List_Omember(A),C))),B).
% 6.75/6.97 Following clause subsumed by 8772 during input processing: 0 [copy,11704,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)).
% 6.75/6.97 Following clause subsumed by 11762 during input processing: 0 [copy,11705,flip.1] {-} hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,hAPP(c_List_Omember(A),B))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),hAPP(c_fequal,C)))=hAPP(c_List_Omember(A),hAPP(c_List_OremoveAll(A,C),B)).
% 6.75/6.97 Following clause subsumed by 8784 during input processing: 0 [copy,11706,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)))).
% 6.75/6.97 Following clause subsumed by 8798 during input processing: 0 [copy,11709,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)).
% 6.75/6.97 Following clause subsumed by 8801 during input processing: 0 [copy,11710,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).
% 6.75/6.97 Following clause subsumed by 8809 during input processing: 0 [copy,11711,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))))).
% 6.75/6.97 Following clause subsumed by 11713 during input processing: 0 [copy,11712,flip.1] {-} hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,A),B)=hAPP(c_List_Omember(tc_Nat_Onat),c_List_Oupt(A,B)).
% 6.75/6.97 Following clause subsumed by 11712 during input processing: 0 [copy,11713,flip.1] {-} hAPP(c_List_Omember(tc_Nat_Onat),c_List_Oupt(A,B))=hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,A),B).
% 6.75/6.97 Following clause subsumed by 8814 during input processing: 0 [copy,11714,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).
% 6.75/6.97 Following clause subsumed by 8819 during input processing: 0 [copy,11715,flip.1] {-} c_List_Oupt(A,hAPP(c_Int_Onat,c_Int_OPls))=c_List_Olist_ONil(tc_Nat_Onat).
% 6.75/6.97 Following clause subsumed by 8843 during input processing: 0 [copy,11716,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)).
% 6.75/6.97 Following clause subsumed by 8847 during input processing: 0 [copy,11717,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)).
% 6.75/6.97 Following clause subsumed by 8848 during input processing: 0 [copy,11718,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)).
% 6.75/6.97 Following clause subsumed by 8855 during input processing: 0 [copy,11719,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).
% 6.75/6.97 Following clause subsumed by 11727 during input processing: 0 [copy,11720,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))).
% 6.75/6.97 Following clause subsumed by 12214 during input processing: 0 [copy,11721,flip.1] {-} hAPP(c_List_Orev(A),hAPP(hAPP(c_List_Odrop(A),B),C))=c_List_Osublist(A,hAPP(c_List_Orev(A),C),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_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls)))),c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,B,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(A)),C))))).
% 6.75/6.97 Following clause subsumed by 8879 during input processing: 0 [copy,11722,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)).
% 6.75/6.97 Following clause subsumed by 8880 during input processing: 0 [copy,11723,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)).
% 6.75/6.97 Following clause subsumed by 8896 during input processing: 0 [copy,11725,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).
% 6.75/6.97 Following clause subsumed by 11811 during input processing: 0 [copy,11726,flip.1] {-} hAPP(c_List_Omember(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_Omember(A),C)))).
% 6.75/6.97 Following clause subsumed by 11720 during input processing: 0 [copy,11727,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)).
% 6.75/6.97 Following clause subsumed by 11618 during input processing: 0 [copy,11732,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)).
% 6.75/6.97 Following clause subsumed by 11607 during input processing: 0 [copy,11738,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),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(c_Int_Onat,c_Int_OPls),hAPP(c_Int_Onat,c_Int_OPls))).
% 6.75/6.97 Following clause subsumed by 11705 during input processing: 0 [copy,11762,flip.1] {-} hAPP(c_List_Omember(A),hAPP(c_List_OremoveAll(A,B),C))=hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,hAPP(c_List_Omember(A),C))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),hAPP(c_fequal,B))).
% 6.75/6.97 Following clause subsumed by 8948 during input processing: 0 [copy,11771,flip.1] {-} c_List_Omaps(A,B,C,c_List_Olist_ONil(A))=c_List_Olist_ONil(B).
% 6.75/6.97 Following clause subsumed by 8949 during input processing: 0 [copy,11772,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)).
% 6.75/6.97 Following clause subsumed by 8984 during input processing: 0 [copy,11773,flip.1] {-} c_New__Random__Sequence_Opos__empty(A,B,C,D)=c_New__DSequence_Opos__empty(A).
% 6.75/6.97 Following clause subsumed by 8985 during input processing: 0 [copy,11774,flip.1] {-} hAPP(c_New__DSequence_Opos__bind(A,B,C,D),E)=hAPP(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)).
% 6.75/6.97 Following clause subsumed by 8986 during input processing: 0 [copy,11775,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)).
% 6.75/6.97 Following clause subsumed by 8992 during input processing: 0 [copy,11776,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)).
% 6.75/6.97 Following clause subsumed by 8993 during input processing: 0 [copy,11777,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)).
% 6.75/6.97 Following clause subsumed by 8994 during input processing: 0 [copy,11778,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)).
% 6.75/6.97 Following clause subsumed by 8997 during input processing: 0 [copy,11779,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)).
% 6.75/6.97 Following clause subsumed by 8998 during input processing: 0 [copy,11780,flip.1] {-} hAPP(c_New__DSequence_Opos__single(A,B),C)=hAPP(c_Lazy__Sequence_Osingle(A),B).
% 6.75/6.97 Following clause subsumed by 9018 during input processing: 0 [copy,11785,flip.1] {-} c_Predicate_Oconversep(A,B,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(A,tc_fun(B,tc_HOL_Obool))),C),D))=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(B,tc_fun(A,tc_HOL_Obool))),c_Predicate_Oconversep(A,B,C)),c_Predicate_Oconversep(A,B,D)).
% 6.75/6.97 Following clause subsumed by 9019 during input processing: 0 [copy,11786,flip.1] {-} c_Predicate_Oconversep(A,B,c_Predicate_Opred__comp(A,C,B,D,E))=c_Predicate_Opred__comp(B,C,A,c_Predicate_Oconversep(C,B,E),c_Predicate_Oconversep(A,C,D)).
% 6.75/6.97 Following clause subsumed by 9020 during input processing: 0 [copy,11787,flip.1] {-} c_Predicate_Oconversep(A,B,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_fun(B,tc_HOL_Obool))),C),D))=hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(B,tc_fun(A,tc_HOL_Obool))),c_Predicate_Oconversep(A,B,C)),c_Predicate_Oconversep(A,B,D)).
% 6.75/6.97 Following clause subsumed by 9040 during input processing: 0 [copy,11788,flip.1] {-} hAPP(hAPP(c_List_Omap(A,B),hAPP(c_COMBK(B,A),C)),D)=c_List_Oreplicate(B,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(A)),D),C).
% 6.75/6.97 Following clause subsumed by 9041 during input processing: 0 [copy,11789,flip.1] {-} hAPP(hAPP(c_List_Oappend(A),c_List_Oreplicate(A,B,C)),hAPP(hAPP(c_List_Olist_OCons(A),C),D))=hAPP(hAPP(c_List_Olist_OCons(A),C),hAPP(hAPP(c_List_Oappend(A),c_List_Oreplicate(A,B,C)),D)).
% 6.75/6.98 Following clause subsumed by 9050 during input processing: 0 [copy,11790,flip.1] {-} c_List_Osublist(A,c_List_Oreplicate(A,B,C),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(c_Int_Onat,c_Int_OPls)),D))=c_List_Oreplicate(A,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_Nat_Onat),D),B),C).
% 6.75/6.98 Following clause subsumed by 9057 during input processing: 0 [copy,11791,flip.1] {-} hAPP(hAPP(c_List_Ozip(A,B),c_List_Oreplicate(A,C,D)),c_List_Oreplicate(B,E,F))=c_List_Oreplicate(tc_prod(A,B),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_Nat_Onat),C),E),hAPP(hAPP(c_Product__Type_OPair(A,B),D),F)).
% 6.75/6.98 Following clause subsumed by 11792 during input processing: 0 [copy,11792,flip.1] {-} c_List_Oreplicate(A,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B),C),D)=c_List_Oreplicate(A,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),C),B),D).
% 6.75/6.98 Following clause subsumed by 9068 during input processing: 0 [copy,11793,flip.1] {-} c_List_Oreplicate(A,hAPP(c_Int_Onat,c_Int_OPls),B)=c_List_Olist_ONil(A).
% 6.75/6.98 Following clause subsumed by 12275 during input processing: 0 [copy,11798,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))).
% 6.75/6.98 Following clause subsumed by 11801 during input processing: 0 [copy,11799,flip.1] {-} hAPP(c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(A)),B)=c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case(tc_Nat_Onat,A,hAPP(c_Int_Onat,c_Int_OPls),hAPP(c_COMBK(tc_fun(tc_Lazy__Sequence_Olazy__sequence(A),tc_Nat_Onat),A),hAPP(hAPP(c_COMBC(tc_Lazy__Sequence_Olazy__sequence(A),tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_Lazy__Sequence_Olazy__sequence(A)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(A)))),hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls)))),B).
% 6.75/6.98 Following clause subsumed by 11799 during input processing: 0 [copy,11801,flip.1] {-} c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case(tc_Nat_Onat,A,hAPP(c_Int_Onat,c_Int_OPls),hAPP(c_COMBK(tc_fun(tc_Lazy__Sequence_Olazy__sequence(A),tc_Nat_Onat),A),hAPP(hAPP(c_COMBC(tc_Lazy__Sequence_Olazy__sequence(A),tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_Lazy__Sequence_Olazy__sequence(A)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(A)))),hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls)))),B)=hAPP(c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(A)),B).
% 6.75/6.98 Following clause subsumed by 9100 during input processing: 0 [copy,11802,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).
% 6.75/6.98 Following clause subsumed by 11726 during input processing: 0 [copy,11811,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_Omember(A),C))))=hAPP(c_List_Omember(A),c_List_Oinsert(A,B,C)).
% 6.75/6.98 Following clause subsumed by 11703 during input processing: 0 [copy,11824,flip.1] {-} hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,hAPP(c_List_Omember(A),B))),C)=hAPP(c_List_Omember(A),hAPP(c_List_Ofilter(A,C),B)).
% 6.75/6.98 Following clause subsumed by 11632 during input processing: 0 [copy,11839,flip.1] {-} hAPP(c_Set_Oimage(A,B,C),hAPP(c_List_Omember(A),D))=hAPP(c_List_Omember(B),hAPP(hAPP(c_List_Omap(A,B),C),D)).
% 6.75/6.98 Following clause subsumed by 11589 during input processing: 0 [copy,11873,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_Omember(A),C))))=hAPP(c_List_Omember(A),hAPP(hAPP(c_List_Olist_OCons(A),B),C)).
% 6.75/6.98 12030 back subsumes 11585.
% 6.75/6.98 Following clause subsumed by 12274 during input processing: 0 [copy,12032,flip.1] {-} c_Nitpick_Opair__box_Opair__box__size(A,B,C,D,c_Nitpick_Opair__box_OPairBox(A,B,E,F))=hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(C,E)),hAPP(D,F))).
% 6.75/6.98 Following clause subsumed by 9110 during input processing: 0 [copy,12033,flip.1] {-} c_Nitpick_Opair__box_Opair__box__case(A,B,C,D,c_Nitpick_Opair__box_OPairBox(A,B,E,F))=hAPP(hAPP(D,E),F).
% 6.75/6.98 Following clause subsumed by 9111 during input processing: 0 [copy,12034,flip.1] {-} c_Nitpick_Opair__box_Opair__box__rec(A,B,C,D,c_Nitpick_Opair__box_OPairBox(A,B,E,F))=hAPP(hAPP(D,E),F).
% 6.75/6.98 Following clause subsumed by 9134 during input processing: 0 [copy,12035,flip.1] {-} c_Random__Sequence_Oempty(A,B,C)=hAPP(c_Product__Type_OPair(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(A)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)),c_DSequence_Oempty(A)).
% 6.75/6.98 Following clause subsumed by 9135 during input processing: 0 [copy,12036,flip.1] {-} hAPP(hAPP(hAPP(c_Random__Sequence_Osingle(A),B),C),D)=hAPP(c_Product__Type_OPair(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(A)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)),hAPP(c_DSequence_Osingle(A),B)).
% 6.75/6.98 Following clause subsumed by 9136 during input processing: 0 [copy,12037,flip.1] {-} c_Random__Sequence_Omap(A,B,C,D)=c_Random__Sequence_Obind(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_prod(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(B)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))))),A,c_Random__Sequence_Osingle(B)),C)).
% 6.75/6.98 Following clause subsumed by 9138 during input processing: 0 [copy,12038,flip.1] {-} hAPP(c_Relation_OImage(A,B,hAPP(c_Product__Type_Ointernal__split(A,B,tc_HOL_Obool),C)),D)=hAPP(c_Relation_ODomain(B,A),hAPP(c_Product__Type_Ointernal__split(B,A,tc_HOL_Obool),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_fconj),D))),hAPP(c_COMBC(A,B,tc_HOL_Obool),C)))).
% 6.75/6.98 Following clause subsumed by 9143 during input processing: 0 [copy,12039,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_Relation_ODomain(tc_fun(B,tc_HOL_Obool),A),hAPP(c_Product__Type_Ointernal__split(tc_fun(B,tc_HOL_Obool),A,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool)),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_COMBC(tc_fun(B,tc_HOL_Obool),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)),tc_fun(B,tc_HOL_Obool)),c_COMBB(tc_fun(B,tc_HOL_Obool),tc_HOL_Obool,A)),c_fequal)),D))))).
% 6.75/6.98 Following clause subsumed by 9158 during input processing: 0 [copy,12040,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_Relation_ODomain(tc_fun(B,tc_HOL_Obool),A),hAPP(c_Product__Type_Ointernal__split(tc_fun(B,tc_HOL_Obool),A,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool)),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_COMBC(tc_fun(B,tc_HOL_Obool),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)),tc_fun(B,tc_HOL_Obool)),c_COMBB(tc_fun(B,tc_HOL_Obool),tc_HOL_Obool,A)),c_fequal)),D))))).
% 6.75/6.99 Following clause subsumed by 9167 during input processing: 0 [copy,12041,flip.1] {-} c_Partial__Function_Ofun__lub(A,B,C,D,E,F)=hAPP(D,hAPP(c_Relation_ODomain(A,tc_fun(C,A)),hAPP(c_Product__Type_Ointernal__split(A,tc_fun(C,A),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(C,A),tc_HOL_Obool),tc_fun(tc_fun(C,A),tc_HOL_Obool),A),hAPP(c_COMBS(tc_fun(C,A),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(C,A)),c_fconj),E))),hAPP(hAPP(c_COMBC(A,tc_fun(tc_fun(C,A),A),tc_fun(tc_fun(C,A),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(A,tc_HOL_Obool),tc_fun(tc_fun(tc_fun(C,A),A),tc_fun(tc_fun(C,A),tc_HOL_Obool)),A),c_COMBB(A,tc_HOL_Obool,tc_fun(C,A))),c_fequal)),hAPP(hAPP(c_COMBC(tc_fun(C,A),C,A),c_COMBI(tc_fun(C,A))),F)))))).
% 6.75/6.99 Following clause subsumed by 9375 during input processing: 0 [copy,12042,flip.1] {-} hAPP(hAPP(hAPP(c_COMBC(A,B,C),D),E),F)=hAPP(hAPP(D,F),E).
% 6.75/6.99 Following clause subsumed by 9376 during input processing: 0 [copy,12043,flip.1] {-} hAPP(hAPP(hAPP(c_COMBS(A,B,C),D),E),F)=hAPP(hAPP(D,F),hAPP(E,F)).
% 6.75/6.99 Following clause subsumed by 12044 during input processing: 0 [copy,12044,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)))).
% 6.75/6.99 Following clause subsumed by 12086 during input processing: 0 [copy,12085,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_fequal,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_Set_Oinsert(A),B)),E)).
% 6.75/6.99 Following clause subsumed by 12085 during input processing: 0 [copy,12086,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_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_fequal,D))),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,tc_fun(B,tc_HOL_Obool)),C),E)).
% 6.75/6.99 Following clause subsumed by 9782 during input processing: 0 [copy,12155,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_fequal,hAPP(B,C)))),hAPP(c_Set_Oimage(D,A,B),E))=hAPP(c_Set_Oimage(D,A,B),hAPP(hAPP(c_COMBS(D,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),D),c_fdisj),hAPP(c_fequal,C))),E)).
% 6.75/6.99 Following clause subsumed by 9876 during input processing: 0 [copy,12156,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).
% 6.75/7.00 Following clause subsumed by 9883 during input processing: 0 [copy,12157,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).
% 6.75/7.00 Following clause subsumed by 11477 during input processing: 0 [copy,12164,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),c_Groups_Ouminus__class_Ouminus(tc_fun(B,tc_HOL_Obool))),D))=hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,B),c_fNot),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,tc_fun(B,tc_HOL_Obool)),C),D)).
% 6.75/7.00 Following clause subsumed by 12172 during input processing: 0 [copy,12172,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_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls)))),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_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls)))),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_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls)))),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_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls)))),c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,A,C)))).
% 6.75/7.00 Following clause subsumed by 10639 during input processing: 0 [copy,12197,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_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls)))),c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,hAPP(c_Nat_OSuc,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_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls)))),c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Nat_Onat,A,B)).
% 6.75/7.00 Following clause subsumed by 10584 during input processing: 0 [copy,12200,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_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls)))),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_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls)))),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_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls)))),c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B),A),C)).
% 6.75/7.00 Following clause subsumed by 11721 during input processing: 0 [copy,12214,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_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls)))),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)).
% 6.85/7.01 Following clause subsumed by 11679 during input processing: 0 [copy,12219,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_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls)))),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)).
% 6.85/7.01 Following clause subsumed by 10229 during input processing: 0 [copy,12266,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_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls)))),c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,hAPP(c_Nat_OSuc,A),B))=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_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls)))),c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,A,B))).
% 6.85/7.01 Following clause subsumed by 12032 during input processing: 0 [copy,12274,flip.1] {-} hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(A,B)),hAPP(C,D)))=c_Nitpick_Opair__box_Opair__box__size(E,F,A,C,c_Nitpick_Opair__box_OPairBox(E,F,B,D)).
% 6.85/7.01 Following clause subsumed by 11798 during input processing: 0 [copy,12275,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)).
% 6.85/7.01 Following clause subsumed by 11562 during input processing: 0 [copy,12276,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)).
% 6.85/7.01 Following clause subsumed by 10578 during input processing: 0 [copy,12290,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_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls)))),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_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls)))),c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls)),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_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls)))),c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,hAPP(c_Nat_OSuc,A),B)).
% 6.85/7.01 Following clause subsumed by 10668 during input processing: 0 [copy,12294,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_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls)))),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_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls)))),c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Int_Oint,A,B)).
% 6.85/7.01 Following clause subsumed by 10695 during input processing: 0 [copy,12295,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)).
% 6.85/7.01 Following clause subsumed by 10699 during input processing: 0 [copy,12296,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).
% 6.85/7.01 Following clause subsumed by 12454 during input processing: 0 [copy,12297,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).
% 6.85/7.01 Following clause subsumed by 11172 during input processing: 0 [copy,12302,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)).
% 6.85/7.01 Following clause subsumed by 11173 during input processing: 0 [copy,12303,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)).
% 6.85/7.01 Following clause subsumed by 11176 during input processing: 0 [copy,12305,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),c_Nat__Transfer_Otsub(hAPP(c_Nat_Osemiring__1__class_Oof__nat(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)))))))))),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))).
% 6.85/7.01 Following clause subsumed by 11208 during input processing: 0 [copy,12306,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)))).
% 6.85/7.01 Following clause subsumed by 11209 during input processing: 0 [copy,12307,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)))).
% 6.85/7.01 Following clause subsumed by 11210 during input processing: 0 [copy,12308,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))).
% 6.85/7.01 Following clause subsumed by 11211 during input processing: 0 [copy,12309,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)).
% 6.85/7.01 Following clause subsumed by 11212 during input processing: 0 [copy,12310,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)))))))))).
% 6.85/7.01 Following clause subsumed by 11214 during input processing: 0 [copy,12311,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))).
% 6.85/7.01 Following clause subsumed by 11215 during input processing: 0 [copy,12312,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))))).
% 6.85/7.01 Following clause subsumed by 11217 during input processing: 0 [copy,12313,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)).
% 6.85/7.01 Following clause subsumed by 12334 during input processing: 0 [copy,12316,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)))).
% 6.85/7.01 Following clause subsumed by 11235 during input processing: 0 [copy,12321,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).
% 6.85/7.01 Following clause subsumed by 12316 during input processing: 0 [copy,12334,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)).
% 6.85/7.01 Following clause subsumed by 12418 during input processing: 0 [copy,12378,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)).
% 6.85/7.01 Following clause subsumed by 11244 during input processing: 0 [copy,12379,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)).
% 6.85/7.01 Following clause subsumed by 11247 during input processing: 0 [copy,12380,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).
% 6.85/7.01 Following clause subsumed by 11297 during input processing: 0 [copy,12386,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).
% 6.85/7.01 Following clause subsumed by 11299 during input processing: 0 [copy,12387,flip.1] {-} 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)))=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)).
% 6.85/7.02 Following clause subsumed by 11314 during input processing: 0 [copy,12388,flip.1] {-} 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))=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)).
% 6.85/7.02 Following clause subsumed by 11317 during input processing: 0 [copy,12389,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)).
% 6.85/7.02 Following clause subsumed by 11357 during input processing: 0 [copy,12390,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)))).
% 6.85/7.02 Following clause subsumed by 11400 during input processing: 0 [copy,12391,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)).
% 6.85/7.02 Following clause subsumed by 11401 during input processing: 0 [copy,12392,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).
% 6.85/7.02 Following clause subsumed by 11402 during input processing: 0 [copy,12393,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))))))))).
% 6.85/7.02 Following clause subsumed by 11414 during input processing: 0 [copy,12394,flip.1] {-} hAPP(c_Relation_ODomain(tc_prod(A,A),A),hAPP(c_Product__Type_Ointernal__split(tc_prod(A,A),A,tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_prod(A,A),tc_fun(A,tc_prod(A,A)),tc_fun(A,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(A,A),tc_HOL_Obool),tc_fun(tc_fun(A,tc_prod(A,A)),tc_fun(A,tc_HOL_Obool)),tc_prod(A,A)),c_COMBB(tc_prod(A,A),tc_HOL_Obool,A)),c_fequal)),hAPP(hAPP(c_COMBS(A,A,tc_prod(A,A)),c_Product__Type_OPair(A,A)),c_COMBI(A)))))=hAPP(hAPP(c_Nat_Ocompow(tc_prod(A,A),tc_HOL_Obool),hAPP(c_Int_Onat,c_Int_OPls)),B).
% 6.85/7.02 Following clause subsumed by 11428 during input processing: 0 [copy,12395,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).
% 6.85/7.02 Following clause subsumed by 11437 during input processing: 0 [copy,12396,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)))).
% 6.85/7.02 Following clause subsumed by 11485 during input processing: 0 [copy,12397,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).
% 6.85/7.02 Following clause subsumed by 11567 during input processing: 0 [copy,12399,flip.1] {-} 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),C),D)))=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)),D)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(c_Int_Onat,c_Int_OPls)),C)).
% 6.85/7.02 Following clause subsumed by 11593 during input processing: 0 [copy,12400,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_Omember(tc_prod(A,B)),hAPP(hAPP(c_List_Ozip(A,B),C),D)).
% 6.85/7.02 Following clause subsumed by 11596 during input processing: 0 [copy,12401,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).
% 6.85/7.02 Following clause subsumed by 11691 during input processing: 0 [copy,12402,flip.1] {-} hAPP(hAPP(c_Code__Numeral_Osubtract__code__numeral,A),B)=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_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls)))),c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,hAPP(c_Code__Numeral_Onat__of,B),hAPP(c_Code__Numeral_Onat__of,A)))).
% 6.85/7.02 Following clause subsumed by 11692 during input processing: 0 [copy,12403,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).
% 6.85/7.02 Following clause subsumed by 11699 during input processing: 0 [copy,12404,flip.1] {-} hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(A)),hAPP(hAPP(c_List_Olist_OCons(A),B),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)))),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)).
% 6.85/7.02 Following clause subsumed by 11765 during input processing: 0 [copy,12406,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)).
% 6.85/7.02 Following clause subsumed by 11766 during input processing: 0 [copy,12407,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)).
% 6.85/7.02 Following clause subsumed by 11767 during input processing: 0 [copy,12408,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)).
% 6.85/7.02 Following clause subsumed by 11768 during input processing: 0 [copy,12409,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).
% 6.85/7.02 Following clause subsumed by 11769 during input processing: 0 [copy,12410,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).
% 6.85/7.02 Following clause subsumed by 11770 during input processing: 0 [copy,12411,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)).
% 6.85/7.02 Following clause subsumed by 11800 during input processing: 0 [copy,12412,flip.1] {-} c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case(tc_Nat_Onat,A,hAPP(c_Int_Onat,c_Int_OPls),hAPP(hAPP(c_COMBC(A,tc_Nat_Onat,tc_fun(tc_Lazy__Sequence_Olazy__sequence(A),tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_fun(tc_Lazy__Sequence_Olazy__sequence(A),tc_fun(tc_Nat_Onat,tc_Nat_Onat)),tc_fun(tc_Nat_Onat,tc_fun(tc_Lazy__Sequence_Olazy__sequence(A),tc_Nat_Onat)),A),c_COMBC(tc_Lazy__Sequence_Olazy__sequence(A),tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_fun(tc_Lazy__Sequence_Olazy__sequence(A),tc_Nat_Onat),tc_fun(tc_Lazy__Sequence_Olazy__sequence(A),tc_fun(tc_Nat_Onat,tc_Nat_Onat)),A),hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_Lazy__Sequence_Olazy__sequence(A)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat))),hAPP(hAPP(c_COMBC(A,tc_fun(tc_Lazy__Sequence_Olazy__sequence(A),tc_Nat_Onat),tc_fun(tc_Lazy__Sequence_Olazy__sequence(A),tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_fun(tc_fun(tc_Lazy__Sequence_Olazy__sequence(A),tc_Nat_Onat),tc_fun(tc_Lazy__Sequence_Olazy__sequence(A),tc_Nat_Onat)),A),c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Lazy__Sequence_Olazy__sequence(A))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),A),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),B))),c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(A,B))))),hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls))),C)=hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(A,B),C).
% 6.85/7.02 Following clause subsumed by 12378 during input processing: 0 [copy,12418,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).
% 6.85/7.02 Following clause subsumed by 12297 during input processing: 0 [copy,12454,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))).
% 6.85/7.02 Following clause subsumed by 12084 during input processing: 0 [copy,12460,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),hAPP(c_fequal,C))),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)).
% 6.85/7.02 Following clause subsumed by 12093 during input processing: 0 [copy,12461,flip.1] {-} hAPP(c_Nat_Osemiring__1__class_Oof__nat(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_COMBS(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fdisj),hAPP(c_fequal,hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),A),hAPP(c_Int_Onat,c_Int_OPls))))),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)))))).
% 6.85/7.02 Following clause subsumed by 12098 during input processing: 0 [copy,12462,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),hAPP(c_fequal,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(E,C))),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,tc_fun(B,tc_HOL_Obool)),D),E)).
% 6.85/7.02 Following clause subsumed by 12283 during input processing: 0 [copy,12469,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)))),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),A)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Otimes__class_Otimes(tc_Nat_Onat)),B))),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(c_Int_Onat,c_Int_OPls)),C)))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),C),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(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_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls)))),c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,B,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),C),B)))))).
% 6.85/7.03 Following clause subsumed by 12289 during input processing: 0 [copy,12470,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_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls)))),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(c_Nat_OSuc,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_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls)))),c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,A,B)).
% 6.85/7.03
% 6.85/7.03 ======= end of input processing =======
% 6.85/7.03
% 6.85/7.03 SEGMENTATION FAULT!! This is probably caused by a
% 6.85/7.03 bug in Otter. Please send copy of the input file to
% 6.85/7.03 otter@mcs.anl.gov, let us know what version of Otter you are
% 6.85/7.03 using, and send any other info that might be useful.
% 6.85/7.03
% 6.85/7.03
% 6.85/7.03 SEGMENTATION FAULT!! This is probably caused by a
% 6.85/7.03 bug in Otter. Please send copy of the input file to
% 6.85/7.03 otter@mcs.anl.gov, let us know what version of Otter you are
% 6.85/7.03 using, and send any other info that might be useful.
% 6.85/7.03
% 6.85/7.03
% 6.85/7.03 The job finished Sun Jun 5 04:18:40 2022
%------------------------------------------------------------------------------