TSTP Solution File: SWW393+1 by SOS---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : SWW393+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n024.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 01:26:46 EDT 2022
% Result : Unknown 5.93s 6.16s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SWW393+1 : TPTP v8.1.0. Released v5.2.0.
% 0.11/0.12 % Command : sos-script %s
% 0.12/0.33 % Computer : n024.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun Jun 5 05:17:20 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.35/1.58 ----- Otter 3.2, August 2001 -----
% 1.35/1.58 The process was started by sandbox on n024.cluster.edu,
% 1.35/1.58 Sun Jun 5 05:17:21 2022
% 1.35/1.58 The command was "./sos". The process ID is 2362.
% 1.35/1.58
% 1.35/1.58 set(prolog_style_variables).
% 1.35/1.58 set(auto).
% 1.35/1.58 dependent: set(auto1).
% 1.35/1.58 dependent: set(process_input).
% 1.35/1.58 dependent: clear(print_kept).
% 1.35/1.58 dependent: clear(print_new_demod).
% 1.35/1.58 dependent: clear(print_back_demod).
% 1.35/1.58 dependent: clear(print_back_sub).
% 1.35/1.58 dependent: set(control_memory).
% 1.35/1.58 dependent: assign(max_mem, 12000).
% 1.35/1.58 dependent: assign(pick_given_ratio, 4).
% 1.35/1.58 dependent: assign(stats_level, 1).
% 1.35/1.58 dependent: assign(pick_semantic_ratio, 3).
% 1.35/1.58 dependent: assign(sos_limit, 5000).
% 1.35/1.58 dependent: assign(max_weight, 60).
% 1.35/1.58 clear(print_given).
% 1.35/1.58
% 1.35/1.58 formula_list(usable).
% 1.35/1.58
% 1.35/1.58 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=8.
% 1.35/1.58
% 1.35/1.58 This ia a non-Horn set with equality. The strategy will be
% 1.35/1.58 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 1.35/1.58 unit deletion, with positive clauses in sos and nonpositive
% 1.35/1.58 clauses in usable.
% 1.35/1.58
% 1.35/1.58 dependent: set(knuth_bendix).
% 1.35/1.58 dependent: set(para_from).
% 1.35/1.58 dependent: set(para_into).
% 1.35/1.58 dependent: clear(para_from_right).
% 1.35/1.58 dependent: clear(para_into_right).
% 1.35/1.58 dependent: set(para_from_vars).
% 1.35/1.58 dependent: set(eq_units_both_ways).
% 1.35/1.58 dependent: set(dynamic_demod_all).
% 1.35/1.58 dependent: set(dynamic_demod).
% 1.35/1.58 dependent: set(order_eq).
% 1.35/1.58 dependent: set(back_demod).
% 1.35/1.58 dependent: set(lrpo).
% 1.35/1.58 dependent: set(hyper_res).
% 1.35/1.58 dependent: set(unit_deletion).
% 1.35/1.58 dependent: set(factor).
% 1.35/1.58
% 1.35/1.58 ------------> process usable:
% 1.35/1.58 Following clause subsumed by 6 during input processing: 0 [flip.2] {-} -class_HOL_Oequal(A)|c_HOL_Oequal__class_Oequal(A)=c_fequal.
% 1.35/1.58 Following clause subsumed by 14 during input processing: 0 [] {-} A!=B| -hBOOL(hAPP(hAPP(c_member(C),D),A))|hBOOL(hAPP(hAPP(c_member(C),D),B)).
% 1.35/1.58 Following clause subsumed by 13 during input processing: 0 [] {-} A!=B|hBOOL(hAPP(hAPP(c_member(C),D),A))| -hBOOL(hAPP(hAPP(c_member(C),D),B)).
% 1.35/1.58 Following clause subsumed by 26 during input processing: 0 [] {-} A!=B|hBOOL(hAPP(hAPP(c_member(C),A),D))| -hBOOL(hAPP(hAPP(c_member(C),B),D)).
% 1.35/1.58 Following clause subsumed by 67 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)).
% 1.35/1.58 Following clause subsumed by 72 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)).
% 1.35/1.58 Following clause subsumed by 87 during input processing: 0 [] {-} A!=B|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(C,tc_HOL_Obool)),B),A)).
% 1.35/1.58 Following clause subsumed by 86 during input processing: 0 [] {-} A!=B|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(C,tc_HOL_Obool)),A),B)).
% 1.35/1.58 Following clause subsumed by 86 during input processing: 0 [] {-} A!=B|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(C,tc_HOL_Obool)),A),B)).
% 1.35/1.58 Following clause subsumed by 87 during input processing: 0 [] {-} A!=B|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(C,tc_HOL_Obool)),B),A)).
% 1.35/1.58 Following clause subsumed by 71 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)).
% 1.35/1.58 Following clause subsumed by 86 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)).
% 1.35/1.58 Following clause subsumed by 70 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)).
% 1.35/1.58 Following clause subsumed by 70 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)).
% 1.35/1.58 Following clause subsumed by 70 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)).
% 1.35/1.58 Following clause subsumed by 95 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(A),B),C))|C!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool)).
% 1.35/1.58 Following clause subsumed by 69 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(A),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool)))).
% 1.35/1.58 Following clause subsumed by 95 during input processing: 0 [] {-} A!=c_Orderings_Obot__class_Obot(tc_fun(B,tc_HOL_Obool))| -hBOOL(hAPP(hAPP(c_member(B),C),A)).
% 1.35/1.58 Following clause subsumed by 97 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)).
% 1.35/1.58 Following clause subsumed by 102 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))).
% 1.35/1.58 Following clause subsumed by 102 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))).
% 1.35/1.58 Following clause subsumed by 111 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.
% 1.35/1.58 Following clause subsumed by 111 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.
% 1.35/1.58 Following clause subsumed by 111 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)).
% 1.35/1.58 Following clause subsumed by 109 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)).
% 1.35/1.58 Following clause subsumed by 143 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)).
% 1.35/1.58 Following clause subsumed by 131 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)).
% 1.35/1.58 Following clause subsumed by 158 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))).
% 1.35/1.58 Following clause subsumed by 160 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)).
% 1.35/1.58 Following clause subsumed by 159 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_member(A),B),hAPP(hAPP(c_Set_Oinsert(A),C),D)))|B!=C.
% 1.35/1.58 Following clause subsumed by 158 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)).
% 1.35/1.58 Following clause subsumed by 170 during input processing: 0 [] {-} hAPP(hAPP(c_Set_Oinsert(A),B),C)!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool)).
% 1.35/1.58 Following clause subsumed by 159 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.
% 1.35/1.58 Following clause subsumed by 180 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.
% 1.35/1.58 Following clause subsumed by 178 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)).
% 1.35/1.58 Following clause subsumed by 184 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)).
% 1.35/1.58 Following clause subsumed by 178 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)).
% 1.35/1.58 Following clause subsumed by 192 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)).
% 1.35/1.58 Following clause subsumed by 178 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)).
% 1.35/1.58 Following clause subsumed by 201 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)).
% 1.35/1.58 Following clause subsumed by 200 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)).
% 1.35/1.58 Following clause subsumed by 197 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)).
% 1.35/1.58 Following clause subsumed by 198 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)).
% 1.35/1.58 Following clause subsumed by 210 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)).
% 1.35/1.58 Following clause subsumed by 211 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)).
% 1.35/1.58 Following clause subsumed by 209 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)).
% 1.35/1.58 Following clause subsumed by 210 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)).
% 1.35/1.58 Following clause subsumed by 211 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)).
% 1.35/1.58 Following clause subsumed by 203 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)).
% 1.35/1.58 Following clause subsumed by 205 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)).
% 1.35/1.58 Following clause subsumed by 204 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)).
% 1.35/1.58 Following clause subsumed by 205 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))).
% 1.35/1.58 Following clause subsumed by 204 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))).
% 1.35/1.58 Following clause subsumed by 207 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)).
% 1.35/1.58 Following clause subsumed by 208 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)).
% 1.35/1.58 Following clause subsumed by 206 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)).
% 1.35/1.58 Following clause subsumed by 207 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)).
% 1.35/1.58 Following clause subsumed by 208 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)).
% 1.35/1.58 Following clause subsumed by 243 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.
% 1.35/1.58 Following clause subsumed by 249 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).
% 1.35/1.58 Following clause subsumed by 250 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)).
% 1.35/1.58 Following clause subsumed by 251 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)).
% 1.35/1.58 Following clause subsumed by 279 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)).
% 1.35/1.58 Following clause subsumed by 281 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)).
% 1.35/1.58 Following clause subsumed by 283 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).
% 1.35/1.58 Following clause subsumed by 285 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).
% 1.35/1.59 Following clause subsumed by 287 during input processing: 0 [] {-} -class_Lattices_Osemilattice__sup(A)|hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(A),B),B)=B.
% 1.35/1.59 Following clause subsumed by 288 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)).
% 1.35/1.59 Following clause subsumed by 290 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)).
% 1.35/1.59 Following clause subsumed by 292 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).
% 1.35/1.59 Following clause subsumed by 294 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).
% 1.35/1.59 Following clause subsumed by 296 during input processing: 0 [] {-} -class_Lattices_Osemilattice__inf(A)|hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(A),B),B)=B.
% 1.35/1.59 Following clause subsumed by 300 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)).
% 1.35/1.59 Following clause subsumed by 297 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)).
% 1.35/1.59 Following clause subsumed by 298 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)).
% 1.35/1.59 Following clause subsumed by 300 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))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),C),D)).
% 1.35/1.59 Following clause subsumed by 302 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.
% 1.35/1.59 Following clause subsumed by 313 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))).
% 1.35/1.59 Following clause subsumed by 310 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)).
% 1.35/1.59 Following clause subsumed by 311 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)).
% 1.35/1.59 Following clause subsumed by 313 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)).
% 1.35/1.59 Following clause subsumed by 315 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.
% 1.35/1.59 Following clause subsumed by 368 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)).
% 1.35/1.59 Following clause subsumed by 368 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)).
% 1.35/1.59 Following clause subsumed by 368 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)).
% 1.35/1.59 Following clause subsumed by 377 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),C))|B!=C.
% 1.35/1.59 Following clause subsumed by 367 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)).
% 1.35/1.59 Following clause subsumed by 367 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.
% 1.35/1.59 Following clause subsumed by 367 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)).
% 1.35/1.59 Following clause subsumed by 367 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.
% 1.35/1.59 Following clause subsumed by 367 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)).
% 1.35/1.59 Following clause subsumed by 380 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|B!=C| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),C)).
% 1.35/1.59 Following clause subsumed by 392 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)).
% 1.35/1.59 Following clause subsumed by 393 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)).
% 1.35/1.59 Following clause subsumed by 392 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)).
% 1.35/1.59 Following clause subsumed by 377 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),C))|B!=C.
% 1.35/1.59 Following clause subsumed by 395 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.
% 1.35/1.59 Following clause subsumed by 394 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)).
% 1.35/1.59 Following clause subsumed by 119 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),C))|B!=C.
% 1.35/1.59 Following clause subsumed by 392 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)).
% 1.35/1.59 Following clause subsumed by 392 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)).
% 1.35/1.59 Following clause subsumed by 395 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)).
% 1.35/1.59 Following clause subsumed by 393 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)).
% 1.35/1.59 Following clause subsumed by 396 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)).
% 1.35/1.59 Following clause subsumed by 399 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.
% 1.35/1.59 Following clause subsumed by 380 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.
% 1.35/1.59 Following clause subsumed by 395 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.
% 1.35/1.59 Following clause subsumed by 395 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)).
% 1.35/1.59 Following clause subsumed by 401 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)).
% 1.35/1.59 Following clause subsumed by 414 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)).
% 1.35/1.59 Following clause subsumed by 86 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool)),B),C))|B!=C.
% 1.35/1.59 Following clause subsumed by 414 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)).
% 1.35/1.59 Following clause subsumed by 415 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(A,tc_HOL_Obool)),B),C))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool)),B),C))|B=C.
% 1.35/1.59 Following clause subsumed by 476 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).
% 1.35/1.59 Following clause subsumed by 477 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.
% 1.35/1.59 Following clause subsumed by 484 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)).
% 1.35/1.59 Following clause subsumed by 486 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)),hAPP(c_Groups_Ouminus__class_Ouminus(A),C)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),C),B)).
% 1.35/1.60 Following clause subsumed by 488 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)).
% 1.35/1.60 Following clause subsumed by 489 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))).
% 1.35/1.60 Following clause subsumed by 492 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)).
% 1.35/1.60 Following clause subsumed by 493 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))).
% 1.35/1.60 Following clause subsumed by 494 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)).
% 1.35/1.60 Following clause subsumed by 494 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)).
% 1.35/1.60 Following clause subsumed by 497 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__eq(tc_fun(A,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(A,tc_HOL_Obool)),C)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(A,tc_HOL_Obool)),B))).
% 1.35/1.60 Following clause subsumed by 498 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hAPP(c_SetInterval_Oord__class_OatLeastLessThan(A,B),C)!=hAPP(c_SetInterval_Oord__class_OatLeastLessThan(A,D),E)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),C))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),D),E))|B=D.
% 1.35/1.60 Following clause subsumed by 499 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hAPP(c_SetInterval_Oord__class_OatLeastLessThan(A,B),C)!=hAPP(c_SetInterval_Oord__class_OatLeastLessThan(A,D),E)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),C))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),D),E))|C=E.
% 1.35/1.60 Following clause subsumed by 558 during input processing: 0 [] {-} -class_Lattices_Oab__semigroup__idem__mult(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),B)=B.
% 1.35/1.60 Following clause subsumed by 553 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).
% 1.35/1.60 Following clause subsumed by 553 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))).
% 1.35/1.60 Following clause subsumed by 633 during input processing: 0 [] {-} -class_Finite__Set_Ofinite(A)|hBOOL(hAPP(c_Finite__Set_Ofinite(A),B)).
% 1.35/1.60 Following clause subsumed by 624 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)).
% 1.35/1.60 Following clause subsumed by 645 during input processing: 0 [] {-} -hBOOL(hAPP(c_Finite__Set_Ofinite(A),B))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool)),C),B))|hBOOL(hAPP(c_Finite__Set_Ofinite(A),C)).
% 1.35/1.60 Following clause subsumed by 633 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)))).
% 1.35/1.60 Following clause subsumed by 646 during input processing: 0 [] {-} hBOOL(hAPP(c_Finite__Set_Ofinite(A),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool)),B),C)))| -hBOOL(hAPP(c_Finite__Set_Ofinite(A),B))| -hBOOL(hAPP(c_Finite__Set_Ofinite(A),C)).
% 1.35/1.60 Following clause subsumed by 628 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)).
% 1.35/1.60 Following clause subsumed by 674 during input processing: 0 [] {-} c_Fun_Ofun__upd(A,B,C,D,E)=C|hAPP(C,D)!=E.
% 1.35/1.60 Following clause subsumed by 696 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)).
% 1.35/1.60 Following clause subsumed by 697 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)).
% 1.35/1.60 Following clause subsumed by 700 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)).
% 1.35/1.60 Following clause subsumed by 701 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)).
% 1.35/1.60 Following clause subsumed by 756 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).
% 1.35/1.60 Following clause subsumed by 757 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).
% 1.35/1.60 Following clause subsumed by 788 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)).
% 1.35/1.61 Following clause subsumed by 789 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)).
% 1.35/1.61 Following clause subsumed by 793 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)).
% 1.35/1.61 Following clause subsumed by 797 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).
% 1.35/1.61 Following clause subsumed by 811 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.
% 1.35/1.61 Following clause subsumed by 813 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.
% 1.35/1.61 Following clause subsumed by 819 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)).
% 1.35/1.61 Following clause subsumed by 820 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)).
% 1.35/1.61 Following clause subsumed by 826 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)).
% 1.35/1.61 Following clause subsumed by 827 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)).
% 1.35/1.61 Following clause subsumed by 863 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)).
% 1.35/1.61 Following clause subsumed by 891 during input processing: 0 [] {-} -class_Rings_Ocomm__semiring__1(A)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),C)),D)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),C),D)).
% 1.35/1.61 Following clause subsumed by 897 during input processing: 0 [] {-} -class_Rings_Ocomm__semiring__1(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)),D)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),D)).
% 1.35/1.61 Following clause subsumed by 897 during input processing: 0 [] {-} -class_Rings_Ocomm__semiring__1(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),E))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),E))).
% 1.35/1.61 Following clause subsumed by 895 during input processing: 0 [] {-} -class_Rings_Ocomm__semiring__1(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),E))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)),E)).
% 1.35/1.61 Following clause subsumed by 900 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)).
% 1.35/1.61 Following clause subsumed by 901 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)).
% 1.35/1.61 Following clause subsumed by 902 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)).
% 1.35/1.61 Following clause subsumed by 921 during input processing: 0 [] {-} A!=B| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),B)).
% 1.35/1.61 Following clause subsumed by 922 during input processing: 0 [] {-} A!=B| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B),A)).
% 1.35/1.61 Following clause subsumed by 923 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),A)).
% 1.35/1.61 Following clause subsumed by 930 during input processing: 0 [] {-} A!=B|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),A),B)).
% 1.35/1.61 Following clause subsumed by 941 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)).
% 1.35/1.61 Following clause subsumed by 942 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.
% 1.35/1.61 Following clause subsumed by 941 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)).
% 1.35/1.61 Following clause subsumed by 930 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),A),B))|A!=B.
% 1.35/1.61 Following clause subsumed by 941 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)).
% 1.35/1.61 Following clause subsumed by 921 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),B))|A!=B.
% 1.35/1.61 Following clause subsumed by 942 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.
% 1.43/1.62 Following clause subsumed by 943 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)).
% 1.43/1.62 Following clause subsumed by 944 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)).
% 1.43/1.62 Following clause subsumed by 915 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),A),B))|hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),C),B)),A)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),C),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),B),A)).
% 1.43/1.62 Following clause subsumed by 947 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))).
% 1.43/1.62 Following clause subsumed by 948 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))).
% 1.43/1.62 Following clause subsumed by 941 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)).
% 1.43/1.62 Following clause subsumed by 935 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))).
% 1.43/1.62 Following clause subsumed by 936 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))).
% 1.43/1.62 Following clause subsumed by 990 during input processing: 0 [] {-} hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B)!=c_Groups_Oone__class_Oone(tc_Nat_Onat)|A=c_Groups_Oone__class_Oone(tc_Nat_Onat).
% 1.43/1.62 Following clause subsumed by 992 during input processing: 0 [] {-} hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B)!=c_Groups_Oone__class_Oone(tc_Nat_Onat)|B=c_Groups_Oone__class_Oone(tc_Nat_Onat).
% 1.43/1.62 Following clause subsumed by 994 during input processing: 0 [] {-} hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B)=c_Groups_Oone__class_Oone(tc_Nat_Onat)|A!=c_Groups_Oone__class_Oone(tc_Nat_Onat)|B!=c_Groups_Oone__class_Oone(tc_Nat_Onat).
% 1.43/1.62 Following clause subsumed by 1009 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).
% 1.43/1.62 Following clause subsumed by 1010 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).
% 1.43/1.62 Following clause subsumed by 1015 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)).
% 1.43/1.62 Following clause subsumed by 1023 during input processing: 0 [] {-} -hBOOL(hAPP(c_Finite__Set_Ofinite(A),B))| -hBOOL(hAPP(c_Finite__Set_Ofinite(A),C))|hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(A),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool)),B),C))),hAPP(c_Finite__Set_Ocard(A),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(A,tc_HOL_Obool)),B),C)))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(A),B)),hAPP(c_Finite__Set_Ocard(A),C)).
% 1.43/1.62 Following clause subsumed by 1050 during input processing: 0 [] {-} c_Groups_Ozero__class_Ozero(tc_Nat_Onat)!=hAPP(c_Nat_OSuc,A).
% 1.43/1.62 Following clause subsumed by 1053 during input processing: 0 [] {-} hAPP(c_Nat_OSuc,A)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 1.43/1.62 Following clause subsumed by 1052 during input processing: 0 [] {-} hAPP(c_Nat_OSuc,A)!=A.
% 1.43/1.62 Following clause subsumed by 1050 during input processing: 0 [] {-} c_Groups_Ozero__class_Ozero(tc_Nat_Onat)!=hAPP(c_Nat_OSuc,A).
% 1.43/1.62 Following clause subsumed by 1053 during input processing: 0 [] {-} hAPP(c_Nat_OSuc,A)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 1.43/1.62 Following clause subsumed by 1054 during input processing: 0 [] {-} hAPP(c_Nat_OSuc,A)!=hAPP(c_Nat_OSuc,B)|A=B.
% 1.43/1.62 Following clause subsumed by 1062 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).
% 1.43/1.62 Following clause subsumed by 1045 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)).
% 1.43/1.62 Following clause subsumed by 1096 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.
% 1.43/1.62 Following clause subsumed by 1098 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.
% 1.43/1.62 Following clause subsumed by 1097 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))).
% 1.43/1.62 Following clause subsumed by 1096 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.
% 1.43/1.62 Following clause subsumed by 1099 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)).
% 1.43/1.62 Following clause subsumed by 930 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),A),hAPP(c_Nat_OSuc,B)))|A!=hAPP(c_Nat_OSuc,B).
% 1.43/1.62 Following clause subsumed by 1107 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(c_Nat_OSuc,B))).
% 1.43/1.62 Following clause subsumed by 1106 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).
% 1.43/1.62 Following clause subsumed by 1125 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).
% 1.43/1.62 Following clause subsumed by 1140 during input processing: 0 [] {-} -class_Rings_Ozero__neq__one(A)|c_Groups_Ozero__class_Ozero(A)!=c_Groups_Oone__class_Oone(A).
% 1.43/1.62 Following clause subsumed by 1145 during input processing: 0 [] {-} -class_Groups_Olinordered__ab__group__add(A)|hAPP(c_Groups_Ouminus__class_Ouminus(A),B)!=B|B=c_Groups_Ozero__class_Ozero(A).
% 1.43/1.62 Following clause subsumed by 1147 during input processing: 0 [] {-} -class_Groups_Olinordered__ab__group__add(A)|hAPP(c_Groups_Ouminus__class_Ouminus(A),B)=B|B!=c_Groups_Ozero__class_Ozero(A).
% 1.43/1.63 Following clause subsumed by 1044 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 1.43/1.63 Following clause subsumed by 922 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)).
% 1.43/1.63 Following clause subsumed by 1044 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 1.43/1.63 Following clause subsumed by 930 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).
% 1.43/1.63 Following clause subsumed by 1160 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.
% 1.43/1.63 Following clause subsumed by 1162 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).
% 1.43/1.63 Following clause subsumed by 1161 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.
% 1.43/1.63 Following clause subsumed by 1167 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).
% 1.43/1.63 Following clause subsumed by 1177 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)).
% 1.43/1.63 Following clause subsumed by 1176 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)).
% 1.43/1.63 Following clause subsumed by 1179 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))).
% 1.43/1.63 Following clause subsumed by 1176 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)).
% 1.43/1.63 Following clause subsumed by 1098 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.
% 1.43/1.63 Following clause subsumed by 1177 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)).
% 1.43/1.63 Following clause subsumed by 965 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)).
% 1.43/1.63 Following clause subsumed by 1202 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))).
% 1.43/1.63 Following clause subsumed by 1200 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))).
% 1.43/1.63 Following clause subsumed by 1200 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))).
% 1.43/1.63 Following clause subsumed by 1199 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))).
% 1.43/1.63 Following clause subsumed by 1231 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)).
% 1.43/1.63 Following clause subsumed by 1237 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))).
% 1.43/1.63 Following clause subsumed by 1244 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)).
% 1.43/1.63 Following clause subsumed by 1231 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)).
% 1.43/1.63 Following clause subsumed by 1232 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)).
% 1.43/1.63 Following clause subsumed by 1288 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).
% 1.43/1.63 Following clause subsumed by 1168 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).
% 1.43/1.63 Following clause subsumed by 1168 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).
% 1.43/1.64 Following clause subsumed by 935 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)).
% 1.43/1.64 Following clause subsumed by 936 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)).
% 1.43/1.64 Following clause subsumed by 1310 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))).
% 1.43/1.64 Following clause subsumed by 1307 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))).
% 1.43/1.64 Following clause subsumed by 1161 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.
% 1.43/1.64 Following clause subsumed by 1306 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)).
% 1.43/1.64 Following clause subsumed by 1307 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)).
% 1.43/1.64 Following clause subsumed by 1312 during input processing: 0 [] {-} hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),A),B)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),A),B)).
% 1.43/1.64 Following clause subsumed by 1324 during input processing: 0 [] {-} -class_Groups_Oordered__comm__monoid__add(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),c_Groups_Ozero__class_Ozero(A)),B))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),C))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),C))).
% 1.43/1.64 Following clause subsumed by 1325 during input processing: 0 [] {-} -class_Groups_Oordered__comm__monoid__add(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),B))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),c_Groups_Ozero__class_Ozero(A)),C))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),C))).
% 1.43/1.64 Following clause subsumed by 1346 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))).
% 1.43/1.64 Following clause subsumed by 1347 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)).
% 1.43/1.64 Following clause subsumed by 965 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)).
% 1.43/1.64 Following clause subsumed by 964 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)).
% 1.43/1.64 Following clause subsumed by 1356 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)).
% 1.43/1.64 Following clause subsumed by 965 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)).
% 1.43/1.64 Following clause subsumed by 1366 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)).
% 1.43/1.64 Following clause subsumed by 1345 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)).
% 1.43/1.64 Following clause subsumed by 1010 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).
% 1.43/1.64 Following clause subsumed by 1376 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).
% 1.43/1.64 Following clause subsumed by 1164 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).
% 1.43/1.64 Following clause subsumed by 1169 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.
% 1.43/1.64 Following clause subsumed by 1411 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.
% 1.43/1.64 Following clause subsumed by 1473 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).
% 1.43/1.64 Following clause subsumed by 1472 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.
% 1.43/1.64 Following clause subsumed by 1490 during input processing: 0 [] {-} -hBOOL(hAPP(c_Finite__Set_Ofinite(A),B))| -hBOOL(hAPP(c_Finite__Set_Ofinite(C),D))|hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(A,C)),c_Sum__Type_OPlus(A,C,B,D))).
% 1.43/1.66 Following clause subsumed by 1488 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)).
% 1.43/1.66 Following clause subsumed by 1489 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)).
% 1.43/1.66 Following clause subsumed by 1491 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)).
% 1.43/1.66 Following clause subsumed by 1445 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)).
% 1.43/1.66 Following clause subsumed by 1456 during input processing: 0 [] {-} -class_Rings_Olinordered__idom(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),c_Groups_Ozero__class_Ozero(A)))|c_Groups_Osgn__class_Osgn(A,B)=hAPP(c_Groups_Ouminus__class_Ouminus(A),c_Groups_Oone__class_Oone(A)).
% 1.43/1.66 Following clause subsumed by 1568 during input processing: 0 [] {-} -class_Fields_Olinordered__field(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),B))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),C),B)),D))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),B))).
% 1.43/1.66 Following clause subsumed by 1567 during input processing: 0 [] {-} -class_Fields_Olinordered__field(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),B))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),C),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),D),B)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),B)),D)).
% 1.43/1.66 Following clause subsumed by 1502 during input processing: 0 [] {-} -class_Fields_Olinordered__field(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),B))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),C),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),D),B)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),B)),D)).
% 1.43/1.66 Following clause subsumed by 1503 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_Rings_Oinverse__class_Odivide(A),C),B)),D))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),B))).
% 1.43/1.66 Following clause subsumed by 1169 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).
% 1.43/1.66 Following clause subsumed by 1664 during input processing: 0 [] {-} -class_Int_Onumber__ring(A)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),hAPP(c_Int_Onumber__class_Onumber__of(A),B)),hAPP(c_Int_Onumber__class_Onumber__of(A),C))=hAPP(c_Int_Onumber__class_Onumber__of(A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B),C)).
% 1.43/1.66 Following clause subsumed by 1668 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)).
% 1.43/1.66 Following clause subsumed by 1674 during input processing: 0 [flip.2] {-} -class_Int_Onumber__ring(A)|hAPP(c_Int_Onumber__class_Onumber__of(A),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),B))=hAPP(c_Groups_Ouminus__class_Ouminus(A),hAPP(c_Int_Onumber__class_Onumber__of(A),B)).
% 1.43/1.66 Following clause subsumed by 393 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))).
% 1.43/1.66 Following clause subsumed by 392 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))).
% 1.43/1.66 Following clause subsumed by 1680 during input processing: 0 [flip.2] {-} -class_Rings_Ocomm__semiring__1(A)|hAPP(hAPP(c_Power_Opower__class_Opower(A),B),hAPP(c_Nat_OSuc,C))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C)).
% 1.43/1.66 Following clause subsumed by 1540 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.
% 1.43/1.66 Following clause subsumed by 1541 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).
% 1.43/1.66 Following clause subsumed by 1542 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).
% 1.43/1.66 Following clause subsumed by 1543 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).
% 1.43/1.66 Following clause subsumed by 1544 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).
% 1.43/1.66 Following clause subsumed by 1540 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.
% 1.43/1.66 Following clause subsumed by 1541 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).
% 1.43/1.66 Following clause subsumed by 1542 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).
% 1.43/1.66 Following clause subsumed by 1543 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).
% 1.43/1.66 Following clause subsumed by 1544 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).
% 1.43/1.66 Following clause subsumed by 1545 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).
% 1.43/1.66 Following clause subsumed by 1546 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).
% 1.43/1.66 Following clause subsumed by 1547 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).
% 1.43/1.66 Following clause subsumed by 1548 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).
% 1.43/1.66 Following clause subsumed by 1549 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).
% 1.43/1.66 Following clause subsumed by 1545 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)).
% 1.43/1.66 Following clause subsumed by 1546 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).
% 1.43/1.66 Following clause subsumed by 1547 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).
% 1.43/1.66 Following clause subsumed by 1548 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).
% 1.43/1.66 Following clause subsumed by 1549 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).
% 1.43/1.66 Following clause subsumed by 1581 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)).
% 1.43/1.66 Following clause subsumed by 1582 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)))).
% 1.43/1.66 Following clause subsumed by 1583 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))).
% 1.43/1.66 Following clause subsumed by 1584 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))).
% 1.43/1.66 Following clause subsumed by 1585 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))).
% 1.43/1.66 Following clause subsumed by 1586 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))).
% 1.43/1.66 Following clause subsumed by 1587 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))).
% 1.43/1.66 Following clause subsumed by 1588 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))).
% 1.43/1.66 Following clause subsumed by 1589 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))).
% 1.43/1.66 Following clause subsumed by 1590 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))).
% 1.43/1.66 Following clause subsumed by 1581 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)).
% 1.43/1.66 Following clause subsumed by 1582 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))).
% 1.43/1.66 Following clause subsumed by 1583 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))).
% 1.43/1.66 Following clause subsumed by 1584 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))).
% 1.43/1.66 Following clause subsumed by 1585 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))).
% 1.43/1.66 Following clause subsumed by 1586 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))).
% 1.43/1.66 Following clause subsumed by 1587 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)).
% 1.43/1.66 Following clause subsumed by 1588 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))).
% 1.43/1.66 Following clause subsumed by 1589 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))).
% 1.43/1.66 Following clause subsumed by 1590 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))).
% 1.43/1.66 Following clause subsumed by 1571 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))).
% 1.43/1.66 Following clause subsumed by 1572 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)).
% 1.43/1.66 Following clause subsumed by 1573 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))).
% 1.43/1.66 Following clause subsumed by 1574 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))).
% 1.43/1.66 Following clause subsumed by 1575 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))).
% 1.43/1.66 Following clause subsumed by 1576 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))).
% 1.43/1.66 Following clause subsumed by 1577 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)).
% 1.43/1.66 Following clause subsumed by 1578 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))).
% 1.43/1.66 Following clause subsumed by 1579 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))).
% 1.43/1.66 Following clause subsumed by 1580 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))).
% 1.43/1.66 Following clause subsumed by 1571 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)))).
% 1.43/1.66 Following clause subsumed by 1572 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)).
% 1.43/1.67 Following clause subsumed by 1573 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)).
% 1.43/1.67 Following clause subsumed by 1574 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)).
% 1.43/1.67 Following clause subsumed by 1575 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))).
% 1.43/1.67 Following clause subsumed by 1576 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)).
% 1.43/1.67 Following clause subsumed by 1577 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))).
% 1.43/1.67 Following clause subsumed by 1578 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)).
% 1.43/1.67 Following clause subsumed by 1579 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))).
% 1.43/1.67 Following clause subsumed by 1580 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)).
% 1.43/1.67 Following clause subsumed by 1614 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)))).
% 1.43/1.67 Following clause subsumed by 1615 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)).
% 1.43/1.67 Following clause subsumed by 1616 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)).
% 1.43/1.67 Following clause subsumed by 1617 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)).
% 1.43/1.67 Following clause subsumed by 1618 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))).
% 1.43/1.67 Following clause subsumed by 1619 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)).
% 1.43/1.67 Following clause subsumed by 1620 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))).
% 1.43/1.67 Following clause subsumed by 1621 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)).
% 1.43/1.67 Following clause subsumed by 1622 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))).
% 1.43/1.67 Following clause subsumed by 1623 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)).
% 1.43/1.67 Following clause subsumed by 1614 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))).
% 1.43/1.67 Following clause subsumed by 1615 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)).
% 1.43/1.67 Following clause subsumed by 1616 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))).
% 1.43/1.67 Following clause subsumed by 1617 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))).
% 1.43/1.67 Following clause subsumed by 1618 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))).
% 1.43/1.67 Following clause subsumed by 1619 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))).
% 1.43/1.67 Following clause subsumed by 1620 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)).
% 1.43/1.67 Following clause subsumed by 1621 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))).
% 1.43/1.67 Following clause subsumed by 1622 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))).
% 1.43/1.67 Following clause subsumed by 1623 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))).
% 1.43/1.67 Following clause subsumed by 1604 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)).
% 1.43/1.67 Following clause subsumed by 1605 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))).
% 1.43/1.67 Following clause subsumed by 1606 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))).
% 1.43/1.67 Following clause subsumed by 1607 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))).
% 1.43/1.67 Following clause subsumed by 1608 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))).
% 1.43/1.67 Following clause subsumed by 1609 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))).
% 1.43/1.67 Following clause subsumed by 1610 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)).
% 1.43/1.67 Following clause subsumed by 1611 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))).
% 1.43/1.67 Following clause subsumed by 1612 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))).
% 1.43/1.67 Following clause subsumed by 1613 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))).
% 1.43/1.67 Following clause subsumed by 1604 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)).
% 1.43/1.67 Following clause subsumed by 1605 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)))).
% 1.43/1.67 Following clause subsumed by 1606 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))).
% 1.43/1.67 Following clause subsumed by 1607 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))).
% 1.43/1.67 Following clause subsumed by 1608 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))).
% 1.43/1.67 Following clause subsumed by 1609 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))).
% 1.43/1.67 Following clause subsumed by 1610 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))).
% 1.43/1.68 Following clause subsumed by 1611 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))).
% 1.43/1.68 Following clause subsumed by 1612 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))).
% 1.43/1.68 Following clause subsumed by 1613 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))).
% 1.43/1.68 Following clause subsumed by 1699 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)).
% 1.43/1.68 Following clause subsumed by 1709 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)).
% 1.43/1.68 Following clause subsumed by 1781 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)).
% 1.43/1.68 Following clause subsumed by 1782 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),c_Groups_Oone__class_Oone(A)),D))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(hAPP(c_Power_Opower__class_Opower(A),D),B)),hAPP(hAPP(c_Power_Opower__class_Opower(A),D),C))).
% 1.43/1.68 Following clause subsumed by 573 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))).
% 1.43/1.69 Following clause subsumed by 578 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))).
% 1.43/1.69 Following clause subsumed by 1883 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),A),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),A),B)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 1.43/1.69 Following clause subsumed by 1894 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)).
% 1.43/1.69 Following clause subsumed by 1895 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)).
% 1.43/1.69 Following clause subsumed by 1896 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)).
% 1.43/1.69 Following clause subsumed by 1897 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)).
% 1.43/1.69 Following clause subsumed by 1901 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))).
% 1.43/1.69 Following clause subsumed by 1908 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)).
% 1.43/1.69 Following clause subsumed by 1909 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)).
% 1.43/1.69 Following clause subsumed by 1917 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).
% 1.43/1.69 Following clause subsumed by 625 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))).
% 1.43/1.69 Following clause subsumed by 1936 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)).
% 1.50/1.70 Following clause subsumed by 1931 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).
% 1.50/1.70 Following clause subsumed by 1932 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).
% 1.50/1.70 Following clause subsumed by 1866 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).
% 1.50/1.70 Following clause subsumed by 2049 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.
% 1.50/1.70 Following clause subsumed by 2050 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.
% 1.50/1.70 Following clause subsumed by 2061 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).
% 1.50/1.70 Following clause subsumed by 2063 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).
% 1.50/1.70 Following clause subsumed by 2070 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).
% 1.50/1.70 Following clause subsumed by 2102 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))).
% 1.50/1.70 Following clause subsumed by 2126 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))).
% 1.50/1.70 Following clause subsumed by 2103 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)).
% 1.50/1.70 Following clause subsumed by 2128 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))).
% 1.50/1.70 Following clause subsumed by 2129 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)).
% 1.50/1.70 Following clause subsumed by 2107 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).
% 1.50/1.70 Following clause subsumed by 2108 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).
% 1.50/1.71 Following clause subsumed by 2131 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).
% 1.50/1.71 Following clause subsumed by 2098 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).
% 1.50/1.71 Following clause subsumed by 2140 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).
% 1.50/1.71 Following clause subsumed by 2144 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))).
% 1.50/1.71 Following clause subsumed by 2245 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),A))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B))|hAPP(c_Int_Onat,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)).
% 1.50/1.71 Following clause subsumed by 2248 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.
% 1.50/1.71 Following clause subsumed by 2249 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.
% 1.50/1.71 Following clause subsumed by 2243 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.
% 1.50/1.71 Following clause subsumed by 2263 during input processing: 0 [] {-} hAPP(c_Int_Onat,A)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),A),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 1.50/1.71 Following clause subsumed by 2266 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onat,A)),hAPP(c_Int_Onat,B)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),A),B)).
% 1.50/1.71 Following clause subsumed by 2272 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.
% 1.50/1.71 Following clause subsumed by 2268 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)).
% 1.50/1.71 Following clause subsumed by 2268 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)).
% 1.50/1.72 Following clause subsumed by 2284 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)).
% 1.50/1.72 Following clause subsumed by 2315 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)).
% 1.50/1.72 Following clause subsumed by 2273 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)).
% 1.50/1.72 Following clause subsumed by 2274 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))).
% 1.50/1.72 Following clause subsumed by 2275 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))).
% 1.50/1.72 Following clause subsumed by 2317 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),A))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B))|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)).
% 1.50/1.72 Following clause subsumed by 2321 during input processing: 0 [flip.2] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),A))|hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Int_Onat,A)),B)=hAPP(c_Int_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),A),B)).
% 1.50/1.72 Following clause subsumed by 573 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))).
% 1.50/1.72 Following clause subsumed by 2360 during input processing: 0 [flip.2] {-} -class_Int_Oring__char__0(A)|hAPP(c_Int_Oring__1__class_Oof__int(A),B)!=c_Groups_Ozero__class_Ozero(A)|B=c_Groups_Ozero__class_Ozero(tc_Int_Oint).
% 1.50/1.72 Following clause subsumed by 2361 during input processing: 0 [flip.2] {-} -class_Int_Oring__char__0(A)|hAPP(c_Int_Oring__1__class_Oof__int(A),B)=c_Groups_Ozero__class_Ozero(A)|B!=c_Groups_Ozero__class_Ozero(tc_Int_Oint).
% 1.50/1.72 Following clause subsumed by 2369 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).
% 1.50/1.72 Following clause subsumed by 2379 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)).
% 1.50/1.73 Following clause subsumed by 625 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))).
% 1.50/1.73 Following clause subsumed by 578 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))).
% 1.50/1.73 Following clause subsumed by 2428 during input processing: 0 [flip.1] {-} c_Int_OPls!=c_Int_OMin.
% 1.50/1.73 Following clause subsumed by 2410 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)).
% 1.50/1.73 Following clause subsumed by 2442 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)).
% 1.50/1.73 Following clause subsumed by 2443 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))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(c_Groups_Ouminus__class_Ouminus(A),B)),C)).
% 1.50/1.73 Following clause subsumed by 2452 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).
% 1.50/1.73 Following clause subsumed by 2492 during input processing: 0 [flip.1] {-} 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)).
% 1.50/1.73 Following clause subsumed by 2493 during input processing: 0 [flip.1] {-} 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)).
% 1.50/1.73 Following clause subsumed by 2564 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)).
% 1.50/1.73 Following clause subsumed by 2565 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)).
% 1.50/1.73 Following clause subsumed by 2566 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)).
% 1.50/1.73 Following clause subsumed by 2567 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)).
% 1.50/1.73 Following clause subsumed by 2569 during input processing: 0 [] {-} c_Int_OBit1(A)!=c_Int_OPls.
% 1.50/1.73 Following clause subsumed by 2599 during input processing: 0 [] {-} -class_Int_Onumber__ring(A)|hAPP(c_Int_Onumber__class_Onumber__of(A),c_Int_OBit1(c_Int_OPls))=c_Groups_Oone__class_Oone(A).
% 1.50/1.73 Following clause subsumed by 2604 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.
% 1.50/1.73 Following clause subsumed by 2632 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)).
% 1.50/1.74 Following clause subsumed by 2633 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)).
% 1.50/1.74 Following clause subsumed by 2634 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)).
% 1.50/1.74 Following clause subsumed by 2635 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)).
% 1.50/1.74 Following clause subsumed by 2638 during input processing: 0 [flip.1] {-} c_Int_OBit0(A)!=c_Int_OMin.
% 1.50/1.74 Following clause subsumed by 2647 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)).
% 1.50/1.74 Following clause subsumed by 2648 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)).
% 1.50/1.74 Following clause subsumed by 2653 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)).
% 1.50/1.74 Following clause subsumed by 2654 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)).
% 1.50/1.74 Following clause subsumed by 2672 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)).
% 1.50/1.74 Following clause subsumed by 2673 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)).
% 1.50/1.74 Following clause subsumed by 2674 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)).
% 1.50/1.74 Following clause subsumed by 2675 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)).
% 1.50/1.74 Following clause subsumed by 1739 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).
% 1.50/1.74 Following clause subsumed by 2699 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)).
% 1.50/1.74 Following clause subsumed by 2692 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)).
% 1.50/1.75 Following clause subsumed by 1773 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)).
% 1.50/1.75 Following clause subsumed by 2115 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.
% 1.50/1.75 Following clause subsumed by 2797 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hAPP(hAPP(c_Orderings_Oord__class_Omin(A),B),B)=B.
% 1.50/1.75 Following clause subsumed by 2798 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).
% 1.50/1.75 Following clause subsumed by 2799 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).
% 1.50/1.75 Following clause subsumed by 2800 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)).
% 1.50/1.75 Following clause subsumed by 2801 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)).
% 1.50/1.75 Following clause subsumed by 2808 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))).
% 1.50/1.75 Following clause subsumed by 2805 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)).
% 1.50/1.75 Following clause subsumed by 2806 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)).
% 1.50/1.75 Following clause subsumed by 2808 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))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),D)).
% 1.50/1.75 Following clause subsumed by 2810 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.
% 1.50/1.75 Following clause subsumed by 2812 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(hAPP(c_Orderings_Oord__class_Omin(A),B),C)),D))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),D)).
% 1.50/1.75 Following clause subsumed by 2811 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(hAPP(c_Orderings_Oord__class_Omin(A),B),C)),D))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),C),D)).
% 1.50/1.75 Following clause subsumed by 2819 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(hAPP(c_Orderings_Oord__class_Omin(A),B),C)),D))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),D)).
% 1.50/1.76 Following clause subsumed by 2818 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(hAPP(c_Orderings_Oord__class_Omin(A),B),C)),D))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),C),D)).
% 1.50/1.76 Following clause subsumed by 2861 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)).
% 1.50/1.76 Following clause subsumed by 2864 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)).
% 1.50/1.76 Following clause subsumed by 2866 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).
% 1.50/1.76 Following clause subsumed by 2867 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)).
% 1.50/1.76 Following clause subsumed by 2870 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)).
% 1.50/1.76 Following clause subsumed by 2855 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),$f226(B,A)),$f225(B,A))),hAPP(hAPP(c_Set_Oinsert(A),$f226(B,A)),hAPP(hAPP(c_Set_Oinsert(A),$f225(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)).
% 1.50/1.76 Following clause subsumed by 2911 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hAPP(hAPP(c_Orderings_Oord__class_Omax(A),B),B)=B.
% 1.50/1.76 Following clause subsumed by 2912 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).
% 1.50/1.76 Following clause subsumed by 2913 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).
% 1.50/1.76 Following clause subsumed by 2914 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)).
% 1.50/1.76 Following clause subsumed by 2915 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)).
% 1.50/1.76 Following clause subsumed by 2922 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)).
% 1.50/1.76 Following clause subsumed by 2919 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)).
% 1.50/1.76 Following clause subsumed by 2920 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)).
% 1.50/1.76 Following clause subsumed by 2922 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))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),C),D)).
% 1.50/1.76 Following clause subsumed by 2924 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.
% 1.50/1.76 Following clause subsumed by 2926 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),hAPP(hAPP(c_Orderings_Oord__class_Omax(A),C),D)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),C)).
% 1.50/1.76 Following clause subsumed by 2925 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),hAPP(hAPP(c_Orderings_Oord__class_Omax(A),C),D)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),D)).
% 1.50/1.76 Following clause subsumed by 2933 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),hAPP(hAPP(c_Orderings_Oord__class_Omax(A),C),D)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),C)).
% 1.50/1.76 Following clause subsumed by 2932 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),hAPP(hAPP(c_Orderings_Oord__class_Omax(A),C),D)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),D)).
% 1.50/1.76 Following clause subsumed by 2956 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)).
% 1.50/1.76 Following clause subsumed by 2960 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)).
% 1.50/1.77 Following clause subsumed by 2893 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),$f235(B,A)),$f234(B,A))),hAPP(hAPP(c_Set_Oinsert(A),$f235(B,A)),hAPP(hAPP(c_Set_Oinsert(A),$f234(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)).
% 1.50/1.77 Following clause subsumed by 2973 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)).
% 1.50/1.77 Following clause subsumed by 2977 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)).
% 1.50/1.77 Following clause subsumed by 2978 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_OSup__fin(A,c_Orderings_Oord__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).
% 1.50/1.77 Following clause subsumed by 2993 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)).
% 1.50/1.77 Following clause subsumed by 2994 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)).
% 1.50/1.77 Following clause subsumed by 2995 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)).
% 1.50/1.77 Following clause subsumed by 270 during input processing: 0 [] {-} -class_Lattices_Olattice(A)|hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(B,A)),C),D),E)=hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(A),hAPP(C,E)),hAPP(D,E)).
% 1.50/1.77 Following clause subsumed by 269 during input processing: 0 [] {-} -class_Lattices_Olattice(A)|hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(B,A)),C),D),E)=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(A),hAPP(C,E)),hAPP(D,E)).
% 1.50/1.77 Following clause subsumed by 207 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(A),B),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(A,tc_HOL_Obool)),C),hAPP(c_Set_OCollect(A),D))))|hBOOL(hAPP(hAPP(c_member(A),B),C)).
% 1.50/1.77 Following clause subsumed by 3039 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)).
% 1.60/1.79 Following clause subsumed by 268 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)).
% 1.60/1.79 Following clause subsumed by 575 during input processing: 0 [] {-} A!=c_Orderings_Obot__class_Obot(tc_fun(B,tc_HOL_Obool))|hAPP(c_Set_Oimage(B,C,hAPP(c_COMBK(C,B),D)),A)=c_Orderings_Obot__class_Obot(tc_fun(C,tc_HOL_Obool)).
% 1.60/1.79 Following clause subsumed by 69 during input processing: 0 [unit_del,3072] {-} -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)))).
% 1.60/1.79 Following clause subsumed by 69 during input processing: 0 [unit_del,3074] {-} -hBOOL(hAPP(hAPP(c_member(A),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool)))).
% 1.60/1.79 Following clause subsumed by 3001 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))).
% 1.60/1.79 Following clause subsumed by 2995 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))).
% 1.60/1.79 Following clause subsumed by 3082 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(A),B),hAPP(c_Set_OCollect(A),C)))|hBOOL(hAPP(C,B)).
% 1.60/1.79 Following clause subsumed by 3082 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(A),B),hAPP(c_Set_OCollect(A),C)))|hBOOL(hAPP(C,B)).
% 1.60/1.79 Following clause subsumed by 2998 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_member(A),B),hAPP(c_Set_OCollect(A),C)))| -hBOOL(hAPP(C,B)).
% 1.60/1.79 Following clause subsumed by 100 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).
% 1.60/1.79 Following clause subsumed by 481 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)).
% 1.60/1.79 Following clause subsumed by 3002 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)).
% 1.60/1.79 Following clause subsumed by 675 during input processing: 0 [] {-} A!=B|hAPP(c_Fun_Ofun__upd(C,D,E,B,F),A)=F.
% 1.60/1.79 Following clause subsumed by 3094 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)).
% 1.60/1.79 Following clause subsumed by 3152 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))).
% 1.60/1.79 Following clause subsumed by 3178 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).
% 1.61/1.79 Following clause subsumed by 3211 during input processing: 0 [] {-} -class_Int_Onumber__ring(A)| -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)))|hAPP(hAPP(c_Power_Opower__class_Opower(A),hAPP(c_Int_Onumber__class_Onumber__of(A),C)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(B)))=hAPP(hAPP(c_HOL_OLet(A,A),hAPP(hAPP(c_Power_Opower__class_Opower(A),hAPP(c_Int_Onumber__class_Onumber__of(A),C)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),B))),hAPP(hAPP(c_COMBS(A,A,A),hAPP(hAPP(c_COMBB(A,tc_fun(A,A),A),c_Groups_Otimes__class_Otimes(A)),hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(c_Int_Onumber__class_Onumber__of(A),C)))),c_COMBI(A))).
% 1.61/1.79 Following clause subsumed by 3212 during input processing: 0 [] {-} -class_Int_Onumber__ring(A)|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)))|hAPP(hAPP(c_Power_Opower__class_Opower(A),hAPP(c_Int_Onumber__class_Onumber__of(A),C)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(B)))=c_Groups_Oone__class_Oone(A).
% 1.61/1.79 Following clause subsumed by 3221 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)).
% 1.61/1.79 Following clause subsumed by 3221 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).
% 1.61/1.79 Following clause subsumed by 3072 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(A,tc_fun(B,tc_HOL_Obool))),C),D)).
% 1.61/1.79 Following clause subsumed by 2994 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)).
% 1.61/1.79 Following clause subsumed by 2993 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)).
% 1.61/1.79 Following clause subsumed by 2996 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)).
% 1.61/1.79 Following clause subsumed by 3248 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_fun(B,tc_HOL_Obool))),C),D))| -hBOOL(hAPP(hAPP(C,E),F))|hBOOL(hAPP(hAPP(D,E),F)).
% 1.61/1.79 Following clause subsumed by 3242 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)).
% 1.61/1.79 Following clause subsumed by 3243 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)).
% 1.61/1.80 Following clause subsumed by 3238 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)).
% 1.61/1.80 Following clause subsumed by 3239 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)).
% 1.61/1.80 Following clause subsumed by 3236 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).
% 1.61/1.80 Following clause subsumed by 3236 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)).
% 1.61/1.80 Following clause subsumed by 3255 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)).
% 1.61/1.80 Following clause subsumed by 3270 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))).
% 1.61/1.80 Following clause subsumed by 3278 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.
% 1.61/1.80 Following clause subsumed by 3279 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.
% 1.61/1.80 Following clause subsumed by 3262 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).
% 1.61/1.80 Following clause subsumed by 3290 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)).
% 1.61/1.80 Following clause subsumed by 3291 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).
% 1.63/1.83 Following clause subsumed by 3221 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).
% 1.63/1.83 Following clause subsumed by 3223 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).
% 1.63/1.83 Following clause subsumed by 3302 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)).
% 1.63/1.83 Following clause subsumed by 3302 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)).
% 1.63/1.83 Following clause subsumed by 3236 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).
% 1.63/1.83 Following clause subsumed by 3237 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).
% 1.63/1.83 Following clause subsumed by 3230 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).
% 1.63/1.83 Following clause subsumed by 3231 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)).
% 1.63/1.83 Following clause subsumed by 3232 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)).
% 1.63/1.83 Following clause subsumed by 2619 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.
% 1.63/1.83 Following clause subsumed by 3361 during input processing: 0 [] {-} hAPP(c_Product__Type_Ofst(A,B),C)!=hAPP(c_Product__Type_Ofst(A,B),D)|hAPP(c_Product__Type_Osnd(A,B),C)!=hAPP(c_Product__Type_Osnd(A,B),D)|C=D.
% 1.63/1.84 Following clause subsumed by 3466 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)).
% 1.63/1.84 Following clause subsumed by 3484 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)).
% 1.63/1.84 Following clause subsumed by 3497 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.
% 1.63/1.84 Following clause subsumed by 3495 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)))).
% 1.63/1.84 Following clause subsumed by 3500 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)).
% 1.63/1.84 Following clause subsumed by 3495 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)).
% 1.63/1.84 Following clause subsumed by 3538 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.
% 1.63/1.84 Following clause subsumed by 3538 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.
% 1.63/1.84 Following clause subsumed by 3538 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).
% 1.63/1.84 Following clause subsumed by 3544 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.
% 1.63/1.84 Following clause subsumed by 585 during input processing: 0 [flip.4] {-} -c_Fun_Oinj__on(A,B,C,c_Orderings_Otop__class_Otop(tc_fun(A,tc_HOL_Obool)))|hBOOL(hAPP(hAPP(c_member(B),D),hAPP(c_Set_Oimage(A,B,C),c_Orderings_Otop__class_Otop(tc_fun(A,tc_HOL_Obool)))))|D!=hAPP(C,E)|hAPP(C,$f302(D,C,B,A,E))=D.
% 1.63/1.84 Following clause subsumed by 585 during input processing: 0 [] {-} -c_Fun_Oinj__on(A,B,C,c_Orderings_Otop__class_Otop(tc_fun(A,tc_HOL_Obool)))|hBOOL(hAPP(hAPP(c_member(B),D),hAPP(c_Set_Oimage(A,B,C),c_Orderings_Otop__class_Otop(tc_fun(A,tc_HOL_Obool)))))|D!=hAPP(C,E)|$f302(D,C,B,A,E)!=E.
% 1.63/1.84 Following clause subsumed by 573 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)).
% 1.63/1.86 Following clause subsumed by 578 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)).
% 1.63/1.86 Following clause subsumed by 3547 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).
% 1.63/1.86 Following clause subsumed by 3563 during input processing: 0 [] {-} -hBOOL(hAPP(c_Finite__Set_Ofinite(A),B))|hAPP(c_Finite__Set_Ocard(C),hAPP(c_Set_Oimage(A,C,D),B))!=hAPP(c_Finite__Set_Ocard(A),B)|c_Fun_Oinj__on(A,C,D,B).
% 1.63/1.86 Following clause subsumed by 3577 during input processing: 0 [] {-} -hBOOL(hAPP(c_Finite__Set_Ofinite(A),B))| -hBOOL(hAPP(c_Finite__Set_Ofinite(C),D))| -c_Fun_Oinj__on(A,C,E,B)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(C,tc_HOL_Obool)),hAPP(c_Set_Oimage(A,C,E),B)),D))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(A),B)),hAPP(c_Finite__Set_Ocard(C),D))).
% 1.63/1.86 Following clause subsumed by 3032 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))).
% 1.63/1.86 Following clause subsumed by 3602 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))).
% 1.63/1.86 Following clause subsumed by 3616 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)).
% 1.63/1.86 Following clause subsumed by 3630 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)).
% 1.63/1.86 Following clause subsumed by 3629 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)).
% 1.63/1.86 Following clause subsumed by 3631 during input processing: 0 [] {-} -c_Wellfounded_Owf(A,B)|hBOOL(hAPP(hAPP(c_member(A),C),c_Wellfounded_Oacc(A,B))).
% 1.63/1.86 Following clause subsumed by 3655 during input processing: 0 [] {-} -c_Wellfounded_OwfP(A,B)|hBOOL(hAPP(c_Wellfounded_Oaccp(A,B),C)).
% 1.63/1.86 Following clause subsumed by 3654 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)).
% 1.63/1.86 Following clause subsumed by 3669 during input processing: 0 [] {-} hBOOL(hAPP(c_Predicate_ORangeP(A,B,C),D))| -hBOOL(hAPP(hAPP(C,E),D)).
% 1.63/1.86 Following clause subsumed by 3678 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)).
% 1.63/1.86 Following clause subsumed by 3677 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)).
% 1.63/1.86 Following clause subsumed by 3675 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)).
% 1.63/1.86 Following clause subsumed by 3682 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).
% 1.63/1.86 Following clause subsumed by 3696 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).
% 1.63/1.86 Following clause subsumed by 3708 during input processing: 0 [] {-} hBOOL(hAPP(c_Predicate_ODomainP(A,B,C),D))| -hBOOL(hAPP(hAPP(C,D),E)).
% 1.63/1.89 Following clause subsumed by 3713 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))).
% 1.63/1.89 Following clause subsumed by 3724 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)).
% 1.63/1.89 Following clause subsumed by 3725 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))).
% 1.63/1.89 Following clause subsumed by 3724 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)).
% 1.63/1.89 Following clause subsumed by 3725 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))).
% 1.63/1.89 Following clause subsumed by 3761 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)).
% 1.63/1.89 Following clause subsumed by 3761 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)).
% 1.63/1.89 Following clause subsumed by 69 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(A),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool))))|hBOOL(hAPP(C,B)).
% 1.63/1.89 Following clause subsumed by 3799 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).
% 1.63/1.89 Following clause subsumed by 3806 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)).
% 1.63/1.89 Following clause subsumed by 3853 during input processing: 0 [] {-} -hBOOL(hAPP(A,B))|hBOOL(hAPP(A,c_Hilbert__Choice_OEps(C,A))).
% 1.63/1.89 Following clause subsumed by 3853 during input processing: 0 [] {-} hBOOL(hAPP(A,c_Hilbert__Choice_OEps(B,A)))| -hBOOL(hAPP(A,C)).
% 1.63/1.89 Following clause subsumed by 3853 during input processing: 0 [] {-} -hBOOL(hAPP(A,B))|hBOOL(hAPP(A,c_Hilbert__Choice_OEps(C,A))).
% 1.63/1.89 Following clause subsumed by 3894 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))).
% 1.63/1.89 Following clause subsumed by 3907 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))).
% 1.63/1.89 Following clause subsumed by 3908 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_member(A),B),hAPP(c_Relation_ODomain(A,A),C)))|hBOOL(hAPP(hAPP(c_member(tc_prod(A,A)),hAPP(hAPP(c_Product__Type_OPair(A,A),B),D)),c_Transitive__Closure_Ortrancl(A,C)))|B!=D.
% 1.63/1.89 Following clause subsumed by 3914 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))).
% 1.63/1.89 Following clause subsumed by 3927 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(tc_prod(A,B)),hAPP(hAPP(c_Product__Type_OPair(A,B),C),D)),E))|hBOOL(hAPP(hAPP(c_member(tc_prod(B,A)),hAPP(hAPP(c_Product__Type_OPair(B,A),D),C)),hAPP(c_Relation_Oconverse(A,B),E))).
% 1.71/1.93 Following clause subsumed by 3926 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)).
% 1.71/1.93 Following clause subsumed by 3952 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.
% 1.71/1.93 Following clause subsumed by 3964 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(tc_prod(A,A)),B),hAPP(hAPP(c_Nat_Ocompow(tc_prod(A,A),tc_HOL_Obool),C),D)))|hBOOL(hAPP(hAPP(c_member(tc_prod(A,A)),B),c_Transitive__Closure_Ortrancl(A,D))).
% 1.71/1.93 Following clause subsumed by 4026 during input processing: 0 [] {-} hAPP(hAPP(c_List_Olist_OCons(A),B),C)!=C.
% 1.71/1.93 Following clause subsumed by 4076 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).
% 1.71/1.93 Following clause subsumed by 4064 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).
% 1.71/1.93 Following clause subsumed by 4023 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).
% 1.71/1.93 Following clause subsumed by 4100 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.
% 1.71/1.93 Following clause subsumed by 4113 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)))).
% 1.71/1.93 Following clause subsumed by 4064 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).
% 1.71/1.93 Following clause subsumed by 4023 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).
% 1.71/1.93 Following clause subsumed by 4137 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))).
% 1.71/1.93 Following clause subsumed by 4136 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))).
% 1.71/1.93 Following clause subsumed by 4136 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(tc_prod(A,A)),hAPP(hAPP(c_Product__Type_OPair(A,A),B),C)),hAPP(c_List_Oset(tc_prod(A,A)),hAPP(hAPP(c_List_Ozip(A,A),D),D))))|hBOOL(hAPP(hAPP(c_member(A),B),hAPP(c_List_Oset(A),D))).
% 1.71/1.93 Following clause subsumed by 4181 during input processing: 0 [] {-} -hBOOL(hAPP(c_List_Odistinct(A),B))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),C),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(A)),B)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),D),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(A)),B)))|C=D|hAPP(hAPP(c_List_Onth(A),B),C)!=hAPP(hAPP(c_List_Onth(A),B),D).
% 1.71/1.93 Following clause subsumed by 4203 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).
% 1.71/1.95 Following clause subsumed by 4224 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)).
% 1.71/1.95 Following clause subsumed by 4224 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).
% 1.71/1.95 Following clause subsumed by 4249 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).
% 1.71/1.95 Following clause subsumed by 4256 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).
% 1.71/1.95 Following clause subsumed by 4276 during input processing: 0 [] {-} hAPP(hAPP(c_List_Oappend(A),B),C)!=B|C=c_List_Olist_ONil(A).
% 1.71/1.95 Following clause subsumed by 4278 during input processing: 0 [] {-} hAPP(hAPP(c_List_Oappend(A),B),C)=B|C!=c_List_Olist_ONil(A).
% 1.71/1.95 Following clause subsumed by 4280 during input processing: 0 [] {-} hAPP(hAPP(c_List_Oappend(A),B),C)!=C|B=c_List_Olist_ONil(A).
% 1.71/1.95 Following clause subsumed by 4282 during input processing: 0 [] {-} hAPP(hAPP(c_List_Oappend(A),B),C)=C|B!=c_List_Olist_ONil(A).
% 1.71/1.95 Following clause subsumed by 4288 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).
% 1.71/1.95 Following clause subsumed by 4327 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(A)),B)),C))|hAPP(hAPP(c_List_Odrop(A),C),B)=c_List_Olist_ONil(A).
% 1.71/1.95 Following clause subsumed by 4333 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).
% 1.71/1.95 Following clause subsumed by 4412 during input processing: 0 [] {-} A!=c_List_Olist_ONil(B)|c_List_Olast(B,hAPP(hAPP(c_List_Olist_OCons(B),C),A))=C.
% 1.71/1.95 Following clause subsumed by 4413 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).
% 1.71/1.95 Following clause subsumed by 4438 during input processing: 0 [] {-} -c_Fun_Oinj__on(A,B,C,c_Orderings_Otop__class_Otop(tc_fun(A,tc_HOL_Obool)))|hAPP(hAPP(c_List_Omap(A,B),C),D)!=hAPP(hAPP(c_List_Omap(A,B),C),E)|D=E.
% 1.71/1.95 Following clause subsumed by 4440 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.
% 1.71/1.97 Following clause subsumed by 4425 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))).
% 1.71/1.97 Following clause subsumed by 4450 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))).
% 1.71/1.97 Following clause subsumed by 4460 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),A),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))| -hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))|hAPP(c_Code__Numeral_Oof__nat,A)!=hAPP(c_Code__Numeral_Oof__nat,B)|A=B.
% 1.71/1.97 Following clause subsumed by 4461 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),A),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))| -hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))|hAPP(c_Code__Numeral_Oof__nat,A)=hAPP(c_Code__Numeral_Oof__nat,B)|A!=B.
% 1.71/1.97 Following clause subsumed by 4478 during input processing: 0 [] {-} hAPP(c_Code__Numeral_Onat__of,A)!=hAPP(c_Code__Numeral_Onat__of,B)|A=B.
% 1.71/1.97 Following clause subsumed by 4479 during input processing: 0 [] {-} hAPP(c_Code__Numeral_Onat__of,A)=hAPP(c_Code__Numeral_Onat__of,B)|A!=B.
% 1.71/1.97 Following clause subsumed by 4513 during input processing: 0 [] {-} hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(A)),B)!=hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(C)),D)|c_List_Olist__all2(A,C,E,hAPP(hAPP(c_List_Oappend(A),B),F),hAPP(hAPP(c_List_Oappend(C),D),G))| -c_List_Olist__all2(A,C,E,B,D)| -c_List_Olist__all2(A,C,E,F,G).
% 1.71/1.97 Following clause subsumed by 4504 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).
% 1.71/1.97 Following clause subsumed by 4504 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).
% 1.71/1.97 Following clause subsumed by 4527 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))).
% 1.71/1.97 Following clause subsumed by 4543 during input processing: 0 [] {-} c_List_Oremdups(A,B)=B| -hBOOL(hAPP(c_List_Odistinct(A),B)).
% 1.71/1.97 Following clause subsumed by 4023 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.
% 1.71/1.97 Following clause subsumed by 4598 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)).
% 1.71/1.97 Following clause subsumed by 4602 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).
% 1.71/1.97 Following clause subsumed by 4603 during input processing: 0 [] {-} c_List_Oupt(A,B)=c_List_Olist_ONil(tc_Nat_Onat)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B),A)).
% 1.71/1.97 Following clause subsumed by 4602 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)).
% 1.80/2.00 Following clause subsumed by 4624 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_List_Olinorder__class_Osorted(A,c_List_Olist_ONil(A)).
% 1.80/2.00 Following clause subsumed by 4637 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -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))|c_List_Olinorder__class_Osorted(A,hAPP(hAPP(c_List_Olist_OCons(A),B),hAPP(hAPP(c_List_Olist_OCons(A),C),D))).
% 1.80/2.00 Following clause subsumed by 4649 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)).
% 1.80/2.00 Following clause subsumed by 4648 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).
% 1.80/2.00 Following clause subsumed by 4665 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -c_List_Olinorder__class_Osorted(A,B)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),C),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(A)),B)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),D),C))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(hAPP(c_List_Onth(A),B),D)),hAPP(hAPP(c_List_Onth(A),B),C))).
% 1.80/2.00 Following clause subsumed by 4674 during input processing: 0 [flip.1] {-} hAPP(c_List_Orev(A),B)!=c_List_Olist_ONil(A)|B=c_List_Olist_ONil(A).
% 1.80/2.00 Following clause subsumed by 4675 during input processing: 0 [flip.1] {-} hAPP(c_List_Orev(A),B)=c_List_Olist_ONil(A)|B!=c_List_Olist_ONil(A).
% 1.80/2.00 Following clause subsumed by 4753 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(A),B),hAPP(c_List_Oset(A),C)))|c_List_Oinsert(A,B,C)=C.
% 1.80/2.00 Following clause subsumed by 4767 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)))).
% 1.80/2.00 Following clause subsumed by 4776 during input processing: 0 [] {-} -class_Enum_Oenum(A)| -hBOOL(hAPP(B,C))|hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(A),B)).
% 1.80/2.00 Following clause subsumed by 4809 during input processing: 0 [] {-} -class_Enum_Oenum(A)| -hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(A),B))|hBOOL(hAPP(B,C)).
% 1.80/2.00 Following clause subsumed by 4838 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))).
% 1.80/2.00 Following clause subsumed by 4848 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).
% 1.80/2.00 Following clause subsumed by 4848 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)).
% 1.80/2.00 Following clause subsumed by 4876 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Predicate_Oconversep(A,B,C),D),E))|hBOOL(hAPP(hAPP(C,E),D)).
% 1.80/2.00 Following clause subsumed by 4877 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Predicate_Oconversep(A,B,C),D),E))| -hBOOL(hAPP(hAPP(C,E),D)).
% 1.80/2.00 Following clause subsumed by 4876 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Predicate_Oconversep(A,B,C),D),E))|hBOOL(hAPP(hAPP(C,E),D)).
% 1.80/2.00 Following clause subsumed by 4877 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Predicate_Oconversep(A,B,C),D),E))| -hBOOL(hAPP(hAPP(C,E),D)).
% 1.80/2.00 Following clause subsumed by 4907 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).
% 1.80/2.02 Following clause subsumed by 4915 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))).
% 1.80/2.02 Following clause subsumed by 4914 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))).
% 1.80/2.02 Following clause subsumed by 4969 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)).
% 1.80/2.02 Following clause subsumed by 69 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(A),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool))))| -hBOOL(hAPP(C,B)).
% 1.80/2.02 Following clause subsumed by 4830 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).
% 1.80/2.02 Following clause subsumed by 4830 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)).
% 1.80/2.02 Following clause subsumed by 4991 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).
% 1.80/2.02 Following clause subsumed by 4993 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).
% 1.80/2.02 Following clause subsumed by 4999 during input processing: 0 [] {-} -c_Equiv__Relations_Oequivp(A,B)|c_Predicate_Oreflp(A,B).
% 1.80/2.02 Following clause subsumed by 5000 during input processing: 0 [] {-} -c_Equiv__Relations_Oequivp(A,B)|c_Predicate_Osymp(A,B).
% 1.80/2.02 Following clause subsumed by 5001 during input processing: 0 [] {-} -c_Equiv__Relations_Oequivp(A,B)|c_Predicate_Otransp(A,B).
% 1.80/2.02 Following clause subsumed by 5002 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).
% 1.80/2.02 Following clause subsumed by 3609 during input processing: 0 [] {-} -c_Wellfounded_Omax__extp(A,B,C,D)|hBOOL(hAPP(c_Finite__Set_Ofinite(A),C)).
% 1.80/2.02 Following clause subsumed by 3610 during input processing: 0 [] {-} -c_Wellfounded_Omax__extp(A,B,C,D)|hBOOL(hAPP(c_Finite__Set_Ofinite(A),D)).
% 1.80/2.03 Following clause subsumed by 3611 during input processing: 0 [] {-} -c_Wellfounded_Omax__extp(A,B,C,D)|D!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool)).
% 1.80/2.03 Following clause subsumed by 5012 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.
% 1.80/2.03 Following clause subsumed by 5018 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)).
% 1.80/2.03 Following clause subsumed by 5033 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).
% 1.80/2.03 Following clause subsumed by 5030 during input processing: 0 [] {-} -c_Equiv__Relations_Oequiv(A,B,C)|c_Relation_Orefl__on(A,B,C).
% 1.80/2.03 Following clause subsumed by 5031 during input processing: 0 [] {-} -c_Equiv__Relations_Oequiv(A,B,C)|c_Relation_Osym(A,C).
% 1.80/2.03 Following clause subsumed by 5032 during input processing: 0 [] {-} -c_Equiv__Relations_Oequiv(A,B,C)|c_Relation_Otrans(A,C).
% 1.80/2.03 Following clause subsumed by 5036 during input processing: 0 [] {-} c_Equiv__Relations_Opart__equivp(A,B)| -hBOOL(hAPP(hAPP(B,C),C))| -c_Predicate_Osymp(A,B)| -c_Predicate_Otransp(A,B).
% 1.80/2.03 Following clause subsumed by 5038 during input processing: 0 [] {-} -c_Equiv__Relations_Opart__equivp(A,B)|c_Predicate_Osymp(A,B).
% 1.80/2.03 Following clause subsumed by 5039 during input processing: 0 [] {-} -c_Equiv__Relations_Opart__equivp(A,B)|c_Predicate_Otransp(A,B).
% 1.80/2.03 Following clause subsumed by 5055 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).
% 1.80/2.03 Following clause subsumed by 5066 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.
% 1.80/2.03 Following clause subsumed by 5070 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.
% 1.80/2.03 Following clause subsumed by 5094 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))).
% 1.80/2.03 Following clause subsumed by 5101 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).
% 1.80/2.03 Following clause subsumed by 5101 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,D,E,c_Orderings_Otop__class_Otop(tc_fun(B,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(D,tc_HOL_Obool)))|c_Fun_Obij__betw(A,D,hAPP(c_Fun_Ocomp(B,D,A,E),C),c_Orderings_Otop__class_Otop(tc_fun(A,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(D,tc_HOL_Obool))).
% 1.80/2.03 Following clause subsumed by 5103 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(A,B,tc_HOL_Obool,C),D),E))|hBOOL(hAPP(C,hAPP(hAPP(c_Product__Type_OPair(A,B),D),E))).
% 1.80/2.03 Following clause subsumed by 5111 during input processing: 0 [] {-} -c_Fun_Obij__betw(A,B,C,D,E)|c_Fun_Oinj__on(A,B,C,D).
% 1.80/2.05 Following clause subsumed by 5111 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))).
% 1.80/2.05 Following clause subsumed by 5115 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).
% 1.80/2.05 Following clause subsumed by 5113 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(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(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))).
% 1.80/2.05 Following clause subsumed by 5111 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))).
% 1.80/2.05 Following clause subsumed by 5112 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)).
% 1.80/2.05 Following clause subsumed by 5113 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)).
% 1.80/2.05 Following clause subsumed by 5172 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_Rings_Odvd__class_Odvd(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_Rings_Odvd__class_Odvd(tc_Nat_Onat),B),C)).
% 1.80/2.05 Following clause subsumed by 5175 during input processing: 0 [] {-} -class_Rings_Ocomm__ring(A)| -class_Rings_Odvd(A)| -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(A),B),C))| -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(A),B),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),D),E)))|hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(A),B),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),hAPP(hAPP(c_Groups_Ominus__class_Ominus(A),D),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),F),C))),E))).
% 1.80/2.05 Following clause subsumed by 5176 during input processing: 0 [] {-} -class_Rings_Ocomm__ring(A)| -class_Rings_Odvd(A)| -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(A),B),C))|hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(A),B),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),D),E)))| -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(A),B),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),hAPP(hAPP(c_Groups_Ominus__class_Ominus(A),D),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),F),C))),E))).
% 1.80/2.05 Following clause subsumed by 5212 during input processing: 0 [] {-} c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),A,B)!=c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool))| -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),A),B)).
% 1.80/2.05 Following clause subsumed by 5215 during input processing: 0 [] {-} c_SetInterval_Oord_OatLeastLessThan(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,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_Nat_Onat),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_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),A,B)!=c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool))| -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),A),B))|hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),B),A)).
% 1.80/2.05 Following clause subsumed by 5217 during input processing: 0 [] {-} c_SetInterval_Oord_OatLeastLessThan(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,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_Nat_Onat),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_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),A,B)=c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool))| -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),B),A)).
% 1.80/2.05 Following clause subsumed by 5219 during input processing: 0 [] {-} c_SetInterval_Oord_OgreaterThanAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,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_Nat_Onat),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_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),A,B)!=c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool))| -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),A),B))|hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),B),A)).
% 1.80/2.05 Following clause subsumed by 5221 during input processing: 0 [] {-} c_SetInterval_Oord_OgreaterThanAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,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_Nat_Onat),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_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),A,B)=c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool))| -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),B),A)).
% 2.11/2.31 Following clause subsumed by 5217 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),A),B))|c_SetInterval_Oord_OatLeastLessThan(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,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_Nat_Onat),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_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),B,A)=c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)).
% 2.11/2.31 Following clause subsumed by 5221 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),A),B))|c_SetInterval_Oord_OgreaterThanAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,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_Nat_Onat),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_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),B,A)=c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)).
% 2.11/2.31 119 back subsumes 117.
% 2.11/2.31 380 back subsumes 378.
% 2.11/2.31 962 back subsumes 957.
% 2.11/2.31 971 back subsumes 970.
% 2.11/2.31 Following clause subsumed by 1053 during input processing: 0 [copy,1050,flip.1] {-} hAPP(c_Nat_OSuc,A)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 2.11/2.31 Following clause subsumed by 1050 during input processing: 0 [copy,1053,flip.1] {-} c_Groups_Ozero__class_Ozero(tc_Nat_Onat)!=hAPP(c_Nat_OSuc,A).
% 2.11/2.31 1161 back subsumes 1112.
% 2.11/2.31 1196 back subsumes 1192.
% 2.11/2.31 1297 back subsumes 1296.
% 2.11/2.31 1306 back subsumes 1184.
% 2.11/2.31 2135 back subsumes 1736.
% 2.11/2.31 2268 back subsumes 2265.
% 2.11/2.31 2280 back subsumes 2278.
% 2.11/2.31 2297 back subsumes 2270.
% 2.11/2.31 2298 back subsumes 2271.
% 2.11/2.31 2334 back subsumes 2333.
% 2.11/2.31 Following clause subsumed by 2625 during input processing: 0 [copy,2624,flip.1] {-} c_Int_OBit0(A)!=c_Int_OBit1(B).
% 2.11/2.31 Following clause subsumed by 2624 during input processing: 0 [copy,2625,flip.1] {-} c_Int_OBit1(A)!=c_Int_OBit0(B).
% 2.11/2.31 Following clause subsumed by 2770 during input processing: 0 [copy,2769,flip.1] {-} c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)!=c_Code__Numeral_OSuc__code__numeral(A).
% 2.11/2.31 Following clause subsumed by 2769 during input processing: 0 [copy,2770,flip.1] {-} c_Code__Numeral_OSuc__code__numeral(A)!=c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral).
% 2.11/2.31 2871 back subsumes 2850.
% 2.11/2.31 2961 back subsumes 2900.
% 2.11/2.31 3221 back subsumes 2990.
% 2.11/2.31 3227 back subsumes 3225.
% 2.11/2.31 3227 back subsumes 2992.
% 2.11/2.31 3236 back subsumes 3233.
% 2.11/2.31 3255 back subsumes 3235.
% 2.11/2.31 3290 back subsumes 3285.
% 2.11/2.31 3501 back subsumes 3500.
% 2.11/2.31 3801 back subsumes 3800.
% 2.11/2.31 3881 back subsumes 3880.
% 2.11/2.31 Following clause subsumed by 4199 during input processing: 0 [copy,4198,flip.1] {-} hAPP(hAPP(c_List_Olist_OCons(A),B),C)!=c_List_Olist_ONil(A).
% 2.11/2.31 Following clause subsumed by 4198 during input processing: 0 [copy,4199,flip.1] {-} c_List_Olist_ONil(A)!=hAPP(hAPP(c_List_Olist_OCons(A),B),C).
% 2.11/2.31 4203 back subsumes 4192.
% 2.11/2.31 4216 back subsumes 4214.
% 2.11/2.31 4648 back subsumes 4636.
% 2.11/2.31 4838 back subsumes 4823.
% 2.11/2.31 4898 back subsumes 4886.
% 2.11/2.31 4898 back subsumes 4881.
% 2.11/2.31 Following clause subsumed by 4958 during input processing: 0 [copy,4957,flip.1] {-} c_Lazy__Sequence_Olazy__sequence_OInsert(A,B,C)!=c_Lazy__Sequence_Olazy__sequence_OEmpty(A).
% 2.21/2.39 Following clause subsumed by 4957 during input processing: 0 [copy,4958,flip.1] {-} c_Lazy__Sequence_Olazy__sequence_OEmpty(A)!=c_Lazy__Sequence_Olazy__sequence_OInsert(A,B,C).
% 2.21/2.39 5101 back subsumes 5099.
% 2.21/2.39 5109 back subsumes 5108.
% 2.21/2.39 5124 back subsumes 5123.
% 2.21/2.39 5203 back subsumes 5173.
% 2.21/2.39 5252 back subsumes 5251.
% 2.21/2.39 5252 back subsumes 5250.
% 2.21/2.39 Following clause subsumed by 604 during input processing: 0 [copy,5369,flip.1] {-} hAPP(c_Set_Oimage(A,tc_fun(A,tc_HOL_Obool),B),C)!=hAPP(c_Set_OPow(A),C).
% 2.21/2.39 5389 back subsumes 5388.
% 2.21/2.39 5456 back subsumes 5451.
% 2.21/2.39 Following clause subsumed by 1726 during input processing: 0 [copy,5609,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).
% 2.21/2.39 5687 back subsumes 5686.
% 2.21/2.39
% 2.21/2.39 ------------> process sos:
% 2.21/2.39 Following clause subsumed by 5975 during input processing: 0 [demod,5956] {-} hBOOL(hAPP(hAPP(c_member(A),$f30(A)),c_Complete__Lattice_OInf__class_OInf(tc_fun(A,tc_HOL_Obool),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(A,tc_HOL_Obool),tc_HOL_Obool))))).
% 2.21/2.39 Following clause subsumed by 6113 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_Lattices_Osemilattice__inf__class_Oinf(tc_fun(A,tc_HOL_Obool)),D),C).
% 2.21/2.39 Following clause subsumed by 6114 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_Lattices_Osemilattice__inf__class_Oinf(tc_fun(A,tc_HOL_Obool)),C),D).
% 2.21/2.39 Following clause subsumed by 6128 during input processing: 0 [] {-} c_Nitpick_Ofold__graph_H(A,B,C,D,c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool)),D).
% 2.21/2.39 Following clause subsumed by 6129 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_member(A),B),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(A,tc_HOL_Obool)),C)))|hBOOL(hAPP(hAPP(c_member(A),B),C)).
% 2.21/2.39 Following clause subsumed by 6130 during input processing: 0 [] {-} hBOOL(hAPP(c_Finite__Set_Ofold__graph(A,B,C,D,c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool))),D)).
% 2.21/2.39 Following clause subsumed by 6175 during input processing: 0 [] {-} hBOOL(hAPP(c_Finite__Set_Ofinite(A),c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool)))).
% 2.21/2.39 Following clause subsumed by 6179 during input processing: 0 [] {-} A=B|hAPP(c_Fun_Ofun__upd(C,D,E,B,F),A)=hAPP(E,A).
% 2.21/2.39 Following clause subsumed by 6203 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)).
% 2.21/2.39 Following clause subsumed by 6203 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)).
% 2.21/2.39 Following clause subsumed by 6288 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)).
% 2.21/2.39 Following clause subsumed by 6250 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)).
% 2.21/2.39 Following clause subsumed by 6346 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)).
% 2.21/2.39 Following clause subsumed by 6456 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))).
% 2.21/2.39 Following clause subsumed by 6409 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))).
% 2.21/2.42 Following clause subsumed by 6490 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))).
% 2.21/2.42 Following clause subsumed by 6503 during input processing: 0 [demod,6501] {-} 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)).
% 2.21/2.42 Following clause subsumed by 6511 during input processing: 0 [demod,6509] {-} 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).
% 2.21/2.42 Following clause subsumed by 6167 during input processing: 0 [flip.1] {-} hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))=c_Orderings_Obot__class_Obot(tc_fun(tc_Int_Oint,tc_HOL_Obool)).
% 2.21/2.42 Following clause subsumed by 6507 during input processing: 0 [demod,6255,6505] {-} c_Groups_Oone__class_Oone(tc_Int_Oint)=c_Groups_Oone__class_Oone(tc_Int_Oint).
% 2.21/2.42 Following clause subsumed by 6418 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))).
% 2.21/2.42 Following clause subsumed by 6409 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OMin)).
% 2.21/2.42 Following clause subsumed by 6461 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),c_Int_OMin),c_Int_OMin)).
% 2.21/2.42 Following clause subsumed by 6418 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))).
% 2.21/2.42 Following clause subsumed by 6684 during input processing: 0 [demod,6249,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).
% 2.21/2.42 Following clause subsumed by 6409 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OPls)).
% 2.21/2.42 Following clause subsumed by 6461 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),c_Int_OPls),c_Int_OPls)).
% 2.21/2.42 Following clause subsumed by 6697 during input processing: 0 [demod,6674,6795,6695] {-} hAPP(c_Int_Onat,c_Int_OPls)=hAPP(c_Int_Onat,c_Int_OPls).
% 2.21/2.42 Following clause subsumed by 6697 during input processing: 0 [demod,6695,6674,6795] {-} hAPP(c_Int_Onat,c_Int_OPls)=hAPP(c_Int_Onat,c_Int_OPls).
% 2.21/2.42 Following clause subsumed by 6409 during input processing: 0 [demod,6795,6460] {-} hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OPls)).
% 2.21/2.42 Following clause subsumed by 6433 during input processing: 0 [demod,6861,6855,6861,6799,6799,6460] {-} hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OPls),c_Int_OMin)=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OPls),c_Int_OMin).
% 2.21/2.42 Following clause subsumed by 6863 during input processing: 0 [demod,6855,6861,6799,6799,6695,6756,6708,6861,6756] {-} hAPP(c_Finite__Set_Ocard(tc_Int_Oint),c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Int_Oint,c_Int_OMin,c_Int_OPls))=hAPP(c_Finite__Set_Ocard(tc_Int_Oint),c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Int_Oint,c_Int_OMin,c_Int_OPls)).
% 2.21/2.47 Following clause subsumed by 6433 during input processing: 0 [demod,6842,6861,6911,6845,6861] {-} hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OMin),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OPls),c_Int_OMin))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OMin),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OPls),c_Int_OMin)).
% 2.21/2.47 Following clause subsumed by 6420 during input processing: 0 [demod,6855,6861,6738,6861,6422,6422,6738,6861,6911,6422] {-} hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OPls),c_Int_OMin)),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_Ominus__class_Ominus(tc_Int_Oint),c_Int_OPls),c_Int_OMin))))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OPls),c_Int_OMin)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OPls),c_Int_OMin)))).
% 2.21/2.47 Following clause subsumed by 6961 during input processing: 0 [demod,6855,6861,6799,6799,6911,6924,6845,6861,6695,6756,6959,6855,6861,6799,6799,6911,6924,6845,6861,6460,6756,6959] {-} 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))).
% 2.21/2.47 Following clause subsumed by 6961 during input processing: 0 [demod,6708,6861,6756,6874,6708,6861,6756,6874,6276,6273,6276,6776,6969,6855,6861,6799,6799,6911,6924,6845,6861,6695,6756,6959] {-} 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))).
% 2.21/2.47 Following clause subsumed by 6961 during input processing: 0 [demod,6855,6861,6799,6799,6911,6924,6845,6861,6460,6756,6959,6674,6795] {-} 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))).
% 2.21/2.47 Following clause subsumed by 7077 during input processing: 0 [] {-} hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool)),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)).
% 2.21/2.47 Following clause subsumed by 7114 during input processing: 0 [demod,6159] {-} hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool)),B),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(A,tc_HOL_Obool)),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)).
% 2.21/2.47 Following clause subsumed by 7243 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)).
% 2.21/2.47 Following clause subsumed by 6179 during input processing: 0 [] {-} A=B|hAPP(c_Fun_Ofun__upd(C,D,E,B,F),A)=hAPP(E,A).
% 2.21/2.47 Following clause subsumed by 7408 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).
% 2.21/2.47 Following clause subsumed by 7446 during input processing: 0 [demod,7402] {-} hBOOL(hAPP(c_Divides_Odivmod__nat__rel(A,B),c_Divides_Odivmod__nat(A,B))).
% 2.31/2.54 Following clause subsumed by 7454 during input processing: 0 [demod,6795,7407] {-} A=c_Int_OPls|hBOOL(hAPP(c_Divides_Odivmod__int__rel(B,A),c_Divides_Odivmod__int(B,A))).
% 2.31/2.54 Following clause subsumed by 7481 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)).
% 2.31/2.54 Following clause subsumed by 7481 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)).
% 2.31/2.54 Following clause subsumed by 7480 during input processing: 0 [demod,6674,6795,7508,6674,6795] {-} hAPP(c_Int_Onat,c_Int_OPls)=hAPP(c_Int_Onat,c_Int_OPls).
% 2.31/2.54 Following clause subsumed by 7480 during input processing: 0 [demod,7701] {-} B=B.
% 2.31/2.54 Following clause subsumed by 7480 during input processing: 0 [demod,7412] {-} c_HOL_OThe(tc_prod(A,B),C)=c_HOL_OThe(tc_prod(A,B),C).
% 2.31/2.54 Following clause subsumed by 7812 during input processing: 0 [demod,7082,7082] {-} 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))).
% 2.31/2.54 Following clause subsumed by 7480 during input processing: 0 [demod,7865] {-} B=B.
% 2.31/2.54 Following clause subsumed by 7480 during input processing: 0 [demod,5956,7212,7273,7855,5956,7212,7273] {-} hAPP(c_COMBK(tc_HOL_Obool,A),c_fTrue)=hAPP(c_COMBK(tc_HOL_Obool,A),c_fTrue).
% 2.31/2.54 Following clause subsumed by 7886 during input processing: 0 [demod,7212,7212,7610] {-} c_Relation_Orefl__on(A,hAPP(c_COMBK(tc_HOL_Obool,A),c_fFalse),c_Relation_OId__on(A,hAPP(c_COMBK(tc_HOL_Obool,A),c_fFalse))).
% 2.31/2.54 Following clause subsumed by 7480 during input processing: 0 [demod,7912] {-} c_Product__Type_Omap__pair(A,B,C,D,hAPP(c_Fun_Ocomp(E,B,A,F),G),hAPP(c_Fun_Ocomp(H,D,C,I),J))=c_Product__Type_Omap__pair(A,B,C,D,hAPP(c_Fun_Ocomp(E,B,A,F),G),hAPP(c_Fun_Ocomp(H,D,C,I),J)).
% 2.31/2.54 Following clause subsumed by 7480 during input processing: 0 [demod,7917] {-} hAPP(D,hAPP(E,F))=hAPP(D,hAPP(E,F)).
% 2.31/2.54 Following clause subsumed by 7480 during input processing: 0 [demod,7174,7941] {-} B=B.
% 2.31/2.54 Following clause subsumed by 7480 during input processing: 0 [demod,7412] {-} c_Hilbert__Choice_OEps(tc_prod(A,B),C)=c_Hilbert__Choice_OEps(tc_prod(A,B),C).
% 2.31/2.54 Following clause subsumed by 7480 during input processing: 0 [demod,7949] {-} 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)).
% 2.31/2.54 Following clause subsumed by 7481 during input processing: 0 [demod,7949] {-} hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(B,C,D),F),hAPP(E,G))=hAPP(hAPP(F,hAPP(c_Product__Type_Ofst(B,C),hAPP(E,G))),hAPP(c_Product__Type_Osnd(B,C),hAPP(E,G))).
% 2.31/2.54 Following clause subsumed by 7480 during input processing: 0 [demod,7990,7987] {-} c_Transitive__Closure_Otrancl(A,B)=c_Transitive__Closure_Otrancl(A,B).
% 2.31/2.54 Following clause subsumed by 7480 during input processing: 0 [demod,8013,8019,5956,7212,7273] {-} hAPP(c_COMBK(tc_HOL_Obool,A),c_fTrue)=hAPP(c_COMBK(tc_HOL_Obool,A),c_fTrue).
% 2.31/2.54 Following clause subsumed by 7480 during input processing: 0 [demod,8013,8016,5956,7212,7273] {-} hAPP(c_COMBK(tc_HOL_Obool,A),c_fTrue)=hAPP(c_COMBK(tc_HOL_Obool,A),c_fTrue).
% 2.31/2.54 Following clause subsumed by 8021 during input processing: 0 [demod,5956,7212,7273,8013] {-} c_Relation_Orefl__on(A,hAPP(c_COMBK(tc_HOL_Obool,A),c_fTrue),c_Transitive__Closure_Ortrancl(A,c_Relation_OId__on(A,hAPP(c_COMBK(tc_HOL_Obool,A),c_fFalse)))).
% 2.31/2.54 Following clause subsumed by 7480 during input processing: 0 [demod,8069] {-} hAPP(c_Relation_ORange(A,B),C)=hAPP(c_Relation_ORange(A,B),C).
% 2.31/2.59 Following clause subsumed by 7973 during input processing: 0 [demod,6674,6795,8102] {-} hBOOL(hAPP(hAPP(c_member(tc_prod(A,A)),hAPP(hAPP(c_Product__Type_OPair(A,A),B),B)),c_Transitive__Closure_Ortrancl(A,c_Relation_OId__on(A,hAPP(c_COMBK(tc_HOL_Obool,A),c_fFalse))))).
% 2.31/2.59 Following clause subsumed by 8188 during input processing: 0 [demod,6695,6674,6795,6695,8186,6695,6708,6861,7562,7610,6249,7129] {-} 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(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_Int_Onat,hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_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),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,c_Int_OMin,c_Int_OPls))),hAPP(c_Int_Onat,c_Int_OPls))))),c_Relation_OId__on(tc_Nat_Onat,hAPP(c_COMBK(tc_HOL_Obool,tc_Nat_Onat),c_fFalse)))))),hAPP(c_Int_Onat,A)))).
% 2.31/2.59 Following clause subsumed by 7480 during input processing: 0 [demod,8230] {-} c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,A,B)=c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,A,B).
% 2.31/2.59 Following clause subsumed by 8287 during input processing: 0 [] {-} c_List_Olistrelp(A,B,c_List_Olist_ONil(A),c_List_Olist_ONil(A)).
% 2.31/2.59 Following clause subsumed by 7480 during input processing: 0 [demod,8300] {-} c_List_Olist_ONil(A)=c_List_Olist_ONil(A).
% 2.31/2.59 Following clause subsumed by 8312 during input processing: 0 [demod,6460,6460,6460,6460] {-} 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).
% 2.31/2.59 Following clause subsumed by 7480 during input processing: 0 [demod,8393] {-} c_List_Obutlast(A,hAPP(hAPP(c_List_Odrop(A),B),C))=c_List_Obutlast(A,hAPP(hAPP(c_List_Odrop(A),B),C)).
% 2.31/2.59 Following clause subsumed by 8422 during input processing: 0 [demod,6695,6674,6795,6695,6695,6708,6861,7562,7610,6249,7129] {-} 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(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_Int_Onat,hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_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),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,c_Int_OMin,c_Int_OPls))),hAPP(c_Int_Onat,c_Int_OPls))))),c_Relation_OId__on(tc_Nat_Onat,hAPP(c_COMBK(tc_HOL_Obool,tc_Nat_Onat),c_fFalse)))))),hAPP(c_Int_Onat,A)))),D).
% 2.31/2.59 Following clause subsumed by 8433 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).
% 2.31/2.59 Following clause subsumed by 8491 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).
% 2.31/2.59 Following clause subsumed by 8492 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).
% 2.41/2.65 Following clause subsumed by 8537 during input processing: 0 [] {-} hAPP(c_Fun_Ocomp(tc_List_Olist(A),tc_List_Olist(B),tc_List_Olist(C),hAPP(c_List_Omap(A,B),D)),hAPP(c_List_Omap(C,A),E))=hAPP(c_List_Omap(C,B),hAPP(c_Fun_Ocomp(A,B,C,D),E)).
% 2.41/2.65 Following clause subsumed by 8538 during input processing: 0 [] {-} hAPP(hAPP(c_List_Omap(A,B),C),hAPP(hAPP(c_List_Omap(D,A),E),F))=hAPP(hAPP(c_List_Omap(D,B),hAPP(c_Fun_Ocomp(A,B,D,C),E)),F).
% 2.41/2.65 Following clause subsumed by 7480 during input processing: 0 [demod,8574] {-} A=A.
% 2.41/2.65 Following clause subsumed by 7480 during input processing: 0 [demod,8546,8574,8574] {-} hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Code__Numeral_Ocode__numeral),A),B)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Code__Numeral_Ocode__numeral),A),B).
% 2.41/2.65 Following clause subsumed by 7480 during input processing: 0 [demod,8554,7917,8576,6695] {-} hAPP(c_Int_Onat,A)=hAPP(c_Int_Onat,A).
% 2.41/2.65 Following clause subsumed by 8613 during input processing: 0 [] {-} hBOOL(hAPP(c_List_Olistsp(A,B),c_List_Olist_ONil(A))).
% 2.41/2.65 Following clause subsumed by 8786 during input processing: 0 [demod,6695,6695,6695,6695] {-} 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).
% 2.41/2.65 Following clause subsumed by 8784 during input processing: 0 [demod,6355,6674,6795,6674,6795,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).
% 2.41/2.65 Following clause subsumed by 7480 during input processing: 0 [demod,6360,6674,6795,6674,6795,8800] {-} 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).
% 2.41/2.65 Following clause subsumed by 8896 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).
% 2.41/2.65 Following clause subsumed by 7480 during input processing: 0 [demod,8907] {-} c_List_Omaps(B,A,C,D)=c_List_Omaps(B,A,C,D).
% 2.41/2.65 Following clause subsumed by 8926 during input processing: 0 [] {-} c_FunDef_Ois__measure(A,B).
% 2.41/2.65 Following clause subsumed by 8926 during input processing: 0 [] {-} c_FunDef_Ois__measure(A,B).
% 2.41/2.65 Following clause subsumed by 7480 during input processing: 0 [demod,8971] {-} hAPP(hAPP(c_List_Olist_OCons(A),B),C)=hAPP(hAPP(c_List_Olist_OCons(A),B),C).
% 2.41/2.65 Following clause subsumed by 9029 during input processing: 0 [demod,6674,6795,7212,7087,7174] {-} 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(c_fequal,C))),hAPP(c_COMBK(tc_HOL_Obool,B),c_fFalse)).
% 2.41/2.65 Following clause subsumed by 9099 during input processing: 0 [demod,8013] {-} c_Relation_Otrans(A,c_Transitive__Closure_Ortrancl(A,c_Relation_OId__on(A,hAPP(c_COMBK(tc_HOL_Obool,A),c_fFalse)))).
% 2.41/2.65 Following clause subsumed by 9153 during input processing: 0 [] {-} hAPP(hAPP(c_Product__Type_Ocurry(A,B,C,D),E),F)=hAPP(D,hAPP(hAPP(c_Product__Type_OPair(A,B),E),F)).
% 2.41/2.65 Following clause subsumed by 9154 during input processing: 0 [demod,5956,7212,7273,5956,7212,7273] {-} 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)).
% 2.41/2.65 Following clause subsumed by 9184 during input processing: 0 [demod,7212] {-} c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),A,B)=hAPP(c_COMBK(tc_HOL_Obool,tc_Nat_Onat),c_fFalse)|hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),A),B)).
% 3.11/3.34 Following clause subsumed by 9186 during input processing: 0 [demod,7212] {-} c_SetInterval_Oord_OatLeastLessThan(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,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_Nat_Onat),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_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),A,B)=hAPP(c_COMBK(tc_HOL_Obool,tc_Nat_Onat),c_fFalse)|hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),A),B)).
% 3.11/3.34 Following clause subsumed by 9188 during input processing: 0 [demod,7212] {-} c_SetInterval_Oord_OgreaterThanAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,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_Nat_Onat),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_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),A,B)=hAPP(c_COMBK(tc_HOL_Obool,tc_Nat_Onat),c_fFalse)|hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),A),B)).
% 3.11/3.34 Following clause subsumed by 7480 during input processing: 0 [] {-} A=A.
% 3.11/3.34 5951 back subsumes 4981.
% 3.11/3.34 5965 back subsumes 5704.
% 3.11/3.34 5965 back subsumes 5389.
% 3.11/3.34 5965 back subsumes 5346.
% 3.11/3.34 Following clause subsumed by 9583 during input processing: 0 [copy,6086,flip.1,demod,7082,7087,7174,7087,7174,7082] {-} 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)).
% 3.11/3.34 Following clause subsumed by 7480 during input processing: 0 [copy,6119,flip.1,demod,7087,7174,7087,7174] {-} 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))),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))),C).
% 3.11/3.34 6119 back subsumes 5316.
% 3.11/3.34 Following clause subsumed by 7480 during input processing: 0 [copy,6138,flip.1,demod,7212,7224,6159,7224,9611] {-} hAPP(c_COMBK(tc_HOL_Obool,A),c_fFalse)=hAPP(c_COMBK(tc_HOL_Obool,A),c_fFalse).
% 3.11/3.34 6175 back subsumes 5379.
% 3.11/3.34 6175 back subsumes 5378.
% 3.11/3.34 6175 back subsumes 5377.
% 3.11/3.34 Following clause subsumed by 6204 during input processing: 0 [copy,6204,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).
% 3.11/3.34 Following clause subsumed by 6205 during input processing: 0 [copy,6205,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)).
% 3.11/3.34 6208 back subsumes 5413.
% 3.11/3.34 Following clause subsumed by 6211 during input processing: 0 [copy,6211,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).
% 3.40/3.60 6250 back subsumes 3373.
% 3.40/3.60 Following clause subsumed by 7480 during input processing: 0 [copy,6278,flip.1] {-} 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)).
% 3.40/3.60 6288 back subsumes 3377.
% 3.40/3.60 6288 back subsumes 3376.
% 3.40/3.60 6288 back subsumes 3375.
% 3.40/3.60 Following clause subsumed by 8802 during input processing: 0 [copy,6361,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).
% 3.40/3.60 Following clause subsumed by 8234 during input processing: 0 [copy,6404,flip.1,demod,6861,7562,7610] {-} 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_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),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,c_Int_OMin,c_Int_OPls))),hAPP(c_Int_Onat,c_Int_OPls))))),c_Relation_OId__on(tc_Nat_Onat,hAPP(c_COMBK(tc_HOL_Obool,tc_Nat_Onat),c_fFalse)))))),B).
% 3.40/3.60 6409 back subsumes 5650.
% 3.40/3.60 6410 back subsumes 1926.
% 3.40/3.60 Following clause subsumed by 6415 during input processing: 0 [copy,6415,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).
% 3.40/3.60 Following clause subsumed by 6419 during input processing: 0 [copy,6419,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).
% 3.40/3.60 Following clause subsumed by 6420 during input processing: 0 [copy,6420,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)).
% 3.40/3.60 Following clause subsumed by 7480 during input processing: 0 [copy,6433,flip.1] {-} hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),A),B)=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),A),B).
% 3.40/3.60 Following clause subsumed by 7480 during input processing: 0 [copy,6489,flip.1,demod,6795,6795] {-} c_Int_OPls=c_Int_OPls.
% 3.40/3.60 6489 back subsumes 5939.
% 3.40/3.60 6489 back subsumes 5938.
% 3.40/3.60 6490 back subsumes 5648.
% 3.40/3.60 Following clause subsumed by 7480 during input processing: 0 [copy,6498,flip.1] {-} 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)).
% 3.40/3.60 Following clause subsumed by 7480 during input processing: 0 [copy,6503,flip.1] {-} 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)).
% 4.30/4.49 Following clause subsumed by 7480 during input processing: 0 [copy,6507,flip.1,demod,6861,7562,7610,6861,7562,7610] {-} 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),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,c_Int_OMin,c_Int_OPls))),hAPP(c_Int_Onat,c_Int_OPls))))),c_Relation_OId__on(tc_Nat_Onat,hAPP(c_COMBK(tc_HOL_Obool,tc_Nat_Onat),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_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),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,c_Int_OMin,c_Int_OPls))),hAPP(c_Int_Onat,c_Int_OPls))))),c_Relation_OId__on(tc_Nat_Onat,hAPP(c_COMBK(tc_HOL_Obool,tc_Nat_Onat),c_fFalse))))).
% 4.30/4.49 Following clause subsumed by 7480 during input processing: 0 [copy,6511,flip.1] {-} hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),A)),B)=hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),A)),B).
% 4.30/4.49 Following clause subsumed by 7480 during input processing: 0 [copy,6556,flip.1,demod,7493,7493] {-} hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Product__Type_Ofst(tc_Nat_Onat,tc_Nat_Onat),c_Divides_Odivmod__nat(A,B)))=hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Product__Type_Ofst(tc_Nat_Onat,tc_Nat_Onat),c_Divides_Odivmod__nat(A,B))).
% 4.30/4.49 Following clause subsumed by 7480 during input processing: 0 [copy,6561,flip.1] {-} c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),A),B),C)=c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),A),B),C).
% 4.30/4.49 Following clause subsumed by 7480 during input processing: 0 [copy,6610,flip.1] {-} hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),B)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),B).
% 4.30/4.49 Following clause subsumed by 7480 during input processing: 0 [copy,6676,flip.1,demod,6795,6795] {-} hAPP(c_Int_Onat,c_Int_OPls)=hAPP(c_Int_Onat,c_Int_OPls).
% 4.30/4.49 Following clause subsumed by 7480 during input processing: 0 [copy,6697,flip.1] {-} hAPP(c_Int_Onat,A)=hAPP(c_Int_Onat,A).
% 4.30/4.49 6697 back subsumes 6676.
% 4.30/4.49 6697 back subsumes 5683.
% 4.30/4.49 Following clause subsumed by 7480 during input processing: 0 [copy,6712,flip.1] {-} c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),A),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B))=c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),A),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B)).
% 4.30/4.49 6773 back subsumes 6771.
% 4.30/4.49 Following clause subsumed by 7480 during input processing: 0 [copy,6782,flip.1] {-} hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),A)=hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),A).
% 4.30/4.49 6782 back subsumes 6556.
% 4.30/4.49 6782 back subsumes 6503.
% 4.30/4.49 6782 back subsumes 6498.
% 4.30/4.49 Following clause subsumed by 7480 during input processing: 0 [copy,6810,flip.1] {-} c_Int_OPls=c_Int_OPls.
% 4.30/4.49 Following clause subsumed by 7480 during input processing: 0 [copy,6863,flip.1,demod,7129,7129] {-} 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,c_Int_OMin,c_Int_OPls))=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,c_Int_OMin,c_Int_OPls)).
% 4.30/4.49 Following clause subsumed by 7480 during input processing: 0 [copy,6887,flip.1] {-} 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)))).
% 4.90/5.14 Following clause subsumed by 7480 during input processing: 0 [copy,6891,flip.1] {-} 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)).
% 4.90/5.14 Following clause subsumed by 7480 during input processing: 0 [copy,6893,flip.1] {-} c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,A))),B)=c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,A))),B).
% 4.90/5.14 6893 back subsumes 6891.
% 4.90/5.14 Following clause subsumed by 7480 during input processing: 0 [copy,6895,flip.1] {-} c_Divides_Odiv__class_Omod(tc_Nat_Onat,A,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,B))))=c_Divides_Odiv__class_Omod(tc_Nat_Onat,A,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,B)))).
% 4.90/5.14 Following clause subsumed by 7480 during input processing: 0 [copy,6897,flip.1,demod,7493,7493] {-} hAPP(c_Product__Type_Ofst(tc_Nat_Onat,tc_Nat_Onat),c_Divides_Odivmod__nat(hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,A))),hAPP(c_Int_Onat,B)))=hAPP(c_Product__Type_Ofst(tc_Nat_Onat,tc_Nat_Onat),c_Divides_Odivmod__nat(hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,A))),hAPP(c_Int_Onat,B))).
% 4.90/5.14 Following clause subsumed by 7480 during input processing: 0 [copy,6899,flip.1,demod,7493,7493] {-} hAPP(c_Product__Type_Ofst(tc_Nat_Onat,tc_Nat_Onat),c_Divides_Odivmod__nat(hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,A))),B))=hAPP(c_Product__Type_Ofst(tc_Nat_Onat,tc_Nat_Onat),c_Divides_Odivmod__nat(hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,A))),B)).
% 4.90/5.14 6899 back subsumes 6897.
% 4.90/5.14 Following clause subsumed by 7480 during input processing: 0 [copy,6901,flip.1,demod,7493,7493] {-} hAPP(c_Product__Type_Ofst(tc_Nat_Onat,tc_Nat_Onat),c_Divides_Odivmod__nat(A,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,B)))))=hAPP(c_Product__Type_Ofst(tc_Nat_Onat,tc_Nat_Onat),c_Divides_Odivmod__nat(A,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,B))))).
% 4.90/5.14 Following clause subsumed by 7480 during input processing: 0 [copy,6913,flip.1,demod,10018,10018] {-} hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_Odivmod__int(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),A),c_Int_OMin))=hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_Odivmod__int(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),A),c_Int_OMin)).
% 4.90/5.14 Following clause subsumed by 7480 during input processing: 0 [copy,6961,flip.1] {-} 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))).
% 4.90/5.14 Following clause subsumed by 7480 during input processing: 0 [copy,7026,flip.1] {-} hAPP(hAPP(c_Code__Numeral_Osubtract__code__numeral,A),B)=hAPP(hAPP(c_Code__Numeral_Osubtract__code__numeral,A),B).
% 4.90/5.14 Following clause subsumed by 7094 during input processing: 0 [copy,7093,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)).
% 4.90/5.14 Following clause subsumed by 7093 during input processing: 0 [copy,7094,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).
% 4.90/5.14 Following clause subsumed by 7480 during input processing: 0 [copy,7164,flip.1,demod,7174,7174] {-} 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))),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))),C).
% 4.90/5.14 Following clause subsumed by 7184 during input processing: 0 [copy,7183,flip.1] {-} c_Complete__Lattice_OInf__class_OInf(tc_fun(A,tc_HOL_Obool),hAPP(c_Set_Oimage(B,tc_fun(A,tc_HOL_Obool),C),D))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(B,tc_fun(A,tc_HOL_Obool)),D),C).
% 5.14/5.34 Following clause subsumed by 7183 during input processing: 0 [copy,7184,flip.1] {-} hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,tc_fun(B,tc_HOL_Obool)),C),D)=c_Complete__Lattice_OInf__class_OInf(tc_fun(B,tc_HOL_Obool),hAPP(c_Set_Oimage(A,tc_fun(B,tc_HOL_Obool),D),C)).
% 5.14/5.34 Following clause subsumed by 7188 during input processing: 0 [copy,7186,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).
% 5.14/5.34 Following clause subsumed by 7186 during input processing: 0 [copy,7188,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)).
% 5.14/5.34 Following clause subsumed by 7195 during input processing: 0 [copy,7194,flip.1] {-} hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,tc_fun(B,tc_HOL_Obool)),C),hAPP(hAPP(c_COMBB(D,tc_fun(B,tc_HOL_Obool),A),E),F))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(D,tc_fun(B,tc_HOL_Obool)),hAPP(c_Set_Oimage(A,D,F),C)),E).
% 5.14/5.34 Following clause subsumed by 7194 during input processing: 0 [copy,7195,flip.1] {-} hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,tc_fun(B,tc_HOL_Obool)),hAPP(c_Set_Oimage(C,A,D),E)),F)=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(C,tc_fun(B,tc_HOL_Obool)),E),hAPP(hAPP(c_COMBB(A,tc_fun(B,tc_HOL_Obool),C),F),D)).
% 5.14/5.34 Following clause subsumed by 7206 during input processing: 0 [copy,7204,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)).
% 5.14/5.34 Following clause subsumed by 7204 during input processing: 0 [copy,7206,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)).
% 5.14/5.34 Following clause subsumed by 7480 during input processing: 0 [copy,7239,flip.1] {-} 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).
% 5.14/5.34 Following clause subsumed by 7245 during input processing: 0 [copy,7243,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).
% 5.14/5.37 Following clause subsumed by 7246 during input processing: 0 [copy,7244,flip.1] {-} hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,tc_fun(B,tc_HOL_Obool)),C),hAPP(hAPP(c_COMBC(A,tc_fun(D,tc_fun(B,tc_HOL_Obool)),tc_fun(B,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(D,tc_HOL_Obool),tc_fun(tc_fun(D,tc_fun(B,tc_HOL_Obool)),tc_fun(B,tc_HOL_Obool)),A),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(D,tc_fun(B,tc_HOL_Obool))),E)),F))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(D,tc_fun(B,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,tc_fun(D,tc_HOL_Obool)),C),E)),F).
% 5.14/5.37 Following clause subsumed by 7243 during input processing: 0 [copy,7245,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)).
% 5.14/5.37 Following clause subsumed by 7244 during input processing: 0 [copy,7246,flip.1] {-} hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,tc_fun(B,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,tc_fun(A,tc_HOL_Obool)),D),E)),F)=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(C,tc_fun(B,tc_HOL_Obool)),D),hAPP(hAPP(c_COMBC(C,tc_fun(A,tc_fun(B,tc_HOL_Obool)),tc_fun(B,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(A,tc_HOL_Obool),tc_fun(tc_fun(A,tc_fun(B,tc_HOL_Obool)),tc_fun(B,tc_HOL_Obool)),C),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,tc_fun(B,tc_HOL_Obool))),E)),F)).
% 5.14/5.37 Following clause subsumed by 7480 during input processing: 0 [copy,7253,flip.1] {-} 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).
% 5.14/5.37 Following clause subsumed by 7480 during input processing: 0 [copy,7258,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).
% 5.14/5.37 Following clause subsumed by 7480 during input processing: 0 [copy,7278,flip.1] {-} hAPP(c_Set_Oimage(A,B,C),hAPP(c_Set_Oimage(D,A,E),hAPP(c_COMBK(tc_HOL_Obool,D),c_fTrue)))=hAPP(c_Set_Oimage(A,B,C),hAPP(c_Set_Oimage(D,A,E),hAPP(c_COMBK(tc_HOL_Obool,D),c_fTrue))).
% 5.14/5.37 Following clause subsumed by 7480 during input processing: 0 [copy,7283,flip.1] {-} hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(A,tc_Nat_Onat),B),C)=hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(A,tc_Nat_Onat),B),C).
% 5.14/5.37 Following clause subsumed by 7480 during input processing: 0 [copy,7291,flip.1] {-} hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(A,tc_Nat_Onat),B),C)=hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(A,tc_Nat_Onat),B),C).
% 5.14/5.37 Following clause subsumed by 7480 during input processing: 0 [copy,7480,flip.1] {-} A=A.
% 5.14/5.37 7480 back subsumes 7291.
% 5.14/5.37 7480 back subsumes 7283.
% 5.14/5.37 7480 back subsumes 7278.
% 5.14/5.37 7480 back subsumes 7258.
% 5.14/5.37 7480 back subsumes 7253.
% 5.14/5.37 7480 back subsumes 7239.
% 5.14/5.37 7480 back subsumes 7026.
% 5.14/5.37 7480 back subsumes 6961.
% 5.14/5.37 7480 back subsumes 6913.
% 5.14/5.37 7480 back subsumes 6901.
% 5.14/5.37 7480 back subsumes 6899.
% 5.14/5.37 7480 back subsumes 6895.
% 5.14/5.37 7480 back subsumes 6893.
% 5.14/5.37 7480 back subsumes 6887.
% 5.14/5.37 7480 back subsumes 6810.
% 5.14/5.37 7480 back subsumes 6782.
% 5.14/5.37 7480 back subsumes 6712.
% 5.14/5.37 7480 back subsumes 6697.
% 5.14/5.37 7480 back subsumes 6610.
% 5.14/5.37 7480 back subsumes 6561.
% 5.14/5.37 7480 back subsumes 6511.
% 5.14/5.37 7480 back subsumes 6433.
% 5.14/5.37 7480 back subsumes 6278.
% 5.14/5.37 7480 back subsumes 5907.
% 5.14/5.37 7480 back subsumes 5894.
% 5.14/5.37 7480 back subsumes 5891.
% 5.14/5.37 7480 back subsumes 5857.
% 5.14/5.37 7480 back subsumes 5831.
% 5.14/5.37 7480 back subsumes 5830.
% 5.14/5.37 7480 back subsumes 5829.
% 5.14/5.37 7480 back subsumes 5828.
% 5.14/5.37 7480 back subsumes 5826.
% 5.14/5.37 7480 back subsumes 5825.
% 5.14/5.37 7480 back subsumes 5824.
% 5.14/5.37 7480 back subsumes 5818.
% 5.14/5.37 7480 back subsumes 5817.
% 5.14/5.37 7480 back subsumes 5812.
% 5.14/5.37 7480 back subsumes 5811.
% 5.14/5.37 7480 back subsumes 5780.
% 5.14/5.37 7480 back subsumes 5779.
% 5.14/5.37 7480 back subsumes 5773.
% 5.14/5.37 7480 back subsumes 5772.
% 5.14/5.37 7480 back subsumes 5751.
% 5.61/5.79 7480 back subsumes 5697.
% 5.61/5.79 7480 back subsumes 5696.
% 5.61/5.79 7480 back subsumes 5611.
% 5.61/5.79 7480 back subsumes 5607.
% 5.61/5.79 7480 back subsumes 5540.
% 5.61/5.79 7480 back subsumes 5409.
% 5.61/5.79 7480 back subsumes 5368.
% 5.61/5.79 7480 back subsumes 5367.
% 5.61/5.79 7480 back subsumes 5362.
% 5.61/5.79 7480 back subsumes 5361.
% 5.61/5.79 7480 back subsumes 5360.
% 5.61/5.79 7480 back subsumes 5354.
% 5.61/5.79 7480 back subsumes 5314.
% 5.61/5.79 7480 back subsumes 5312.
% 5.61/5.79 7480 back subsumes 5303.
% 5.61/5.79 7480 back subsumes 5302.
% 5.61/5.79 7821 back subsumes 7819.
% 5.61/5.79 7827 back subsumes 7826.
% 5.61/5.79 Following clause subsumed by 7877 during input processing: 0 [copy,7880,flip.1] {-} c_Product__Type_Oapfst(A,A,B,c_Fun_Oid(A))=c_Product__Type_Omap__pair(A,A,B,B,c_Fun_Oid(A),c_Fun_Oid(B)).
% 5.61/5.79 7921 back subsumes 3826.
% 5.61/5.79 7973 back subsumes 5819.
% 5.61/5.79 Following clause subsumed by 11354 during input processing: 0 [copy,8122,flip.1] {-} hAPP(hAPP(A,B),C)=hAPP(hAPP(c_Product__Type_Ointernal__split(D,E,F),A),hAPP(hAPP(c_Product__Type_OPair(D,E),B),C)).
% 5.61/5.79 8236 back subsumes 4161.
% 5.61/5.79 Following clause subsumed by 8284 during input processing: 0 [copy,8284,flip.1] {-} c_List_Oremove1(A,B,c_List_Oremove1(A,C,D))=c_List_Oremove1(A,C,c_List_Oremove1(A,B,D)).
% 5.61/5.79 Following clause subsumed by 11715 during input processing: 0 [copy,8303,flip.1] {-} c_List_Olist_ONil(A)=c_List_Osublist(A,B,hAPP(c_COMBK(tc_HOL_Obool,tc_Nat_Onat),c_fFalse)).
% 5.61/5.79 8312 back subsumes 4227.
% 5.61/5.79 8319 back subsumes 8268.
% 5.61/5.79 Following clause subsumed by 8441 during input processing: 0 [copy,8440,flip.1] {-} hAPP(c_List_Otl(A),hAPP(hAPP(c_List_Odrop(A),B),C))=hAPP(hAPP(c_List_Odrop(A),B),hAPP(c_List_Otl(A),C)).
% 5.61/5.79 Following clause subsumed by 8440 during input processing: 0 [copy,8441,flip.1] {-} hAPP(hAPP(c_List_Odrop(A),B),hAPP(c_List_Otl(A),C))=hAPP(c_List_Otl(A),hAPP(hAPP(c_List_Odrop(A),B),C)).
% 5.61/5.79 8697 back subsumes 4589.
% 5.61/5.79 Following clause subsumed by 6361 during input processing: 0 [copy,8802,flip.1] {-} c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(c_Nat_OSuc,A),B)=c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,A,B).
% 5.61/5.79 8926 back subsumes 8924.
% 5.61/5.79 8926 back subsumes 4851.
% 5.61/5.79 8926 back subsumes 4850.
% 5.61/5.79 8926 back subsumes 4847.
% 5.61/5.79 Following clause subsumed by 9014 during input processing: 0 [copy,9014,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).
% 5.61/5.79 9115 back subsumes 9112.
% 5.61/5.79 9465 back subsumes 9142.
% 5.61/5.79 9465 back subsumes 9140.
% 5.61/5.79 9465 back subsumes 8580.
% 5.61/5.79 Following clause subsumed by 9583 during input processing: 0 [copy,9573,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_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))=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))),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)).
% 5.61/5.79 Following clause subsumed by 12164 during input processing: 0 [copy,9577,flip.1,demod,9647,9647,9647] {-} hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,hAPP(hAPP(c_COMBS(A,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),A),c_fdisj),B)),C))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),D))=hAPP(hAPP(c_COMBS(A,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),A),c_fdisj),hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,B)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),D)))),hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,C)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),D))).
% 5.63/5.84 Following clause subsumed by 9583 during input processing: 0 [copy,9583,flip.1] {-} hAPP(hAPP(c_COMBS(A,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),A),c_fdisj),B)),hAPP(hAPP(c_COMBS(A,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),A),c_fdisj),C)),D))=hAPP(hAPP(c_COMBS(A,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),A),c_fdisj),C)),hAPP(hAPP(c_COMBS(A,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),A),c_fdisj),B)),D)).
% 5.63/5.84 9583 back subsumes 9573.
% 5.63/5.84 Following clause subsumed by 9584 during input processing: 0 [copy,9584,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)).
% 5.63/5.84 Following clause subsumed by 9586 during input processing: 0 [copy,9586,flip.1] {-} hAPP(hAPP(c_COMBS(A,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),A),c_fdisj),B)),C)=hAPP(hAPP(c_COMBS(A,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),A),c_fdisj),C)),B).
% 5.63/5.84 Following clause subsumed by 9587 during input processing: 0 [copy,9587,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).
% 5.63/5.84 Following clause subsumed by 9587 during input processing: 0 [copy,9666,flip.1,demod,11302,11302] {-} 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).
% 5.63/5.84 Following clause subsumed by 11127 during input processing: 0 [copy,9726,flip.1] {-} hAPP(c_Set_Oimage(A,B,C),hAPP(c_COMBK(tc_HOL_Obool,A),c_fFalse))=hAPP(c_COMBK(tc_HOL_Obool,B),c_fFalse).
% 5.63/5.84 Following clause subsumed by 10821 during input processing: 0 [copy,9727,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),hAPP(c_fequal,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,hAPP(C,D)))),hAPP(c_Set_Oimage(A,B,C),E)).
% 5.63/5.84 Following clause subsumed by 10717 during input processing: 0 [copy,9728,flip.1] {-} hAPP(c_Set_Oimage(A,B,C),hAPP(hAPP(c_COMBS(A,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),A),c_fdisj),D)),E))=hAPP(hAPP(c_COMBS(B,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),B),c_fdisj),hAPP(c_Set_Oimage(A,B,C),D))),hAPP(c_Set_Oimage(A,B,C),E)).
% 5.63/5.84 Following clause subsumed by 9729 during input processing: 0 [copy,9729,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)))).
% 5.63/5.88 Following clause subsumed by 9744 during input processing: 0 [copy,9730,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)).
% 5.63/5.88 Following clause subsumed by 6225 during input processing: 0 [copy,9731,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)).
% 5.63/5.88 Following clause subsumed by 9730 during input processing: 0 [copy,9744,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)))).
% 5.63/5.88 Following clause subsumed by 6334 during input processing: 0 [copy,9872,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)).
% 5.63/5.88 9890 back subsumes 1181.
% 5.63/5.88 Following clause subsumed by 11038 during input processing: 0 [copy,9899,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)).
% 5.63/5.88 Following clause subsumed by 6423 during input processing: 0 [copy,9908,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)).
% 5.63/5.88 Following clause subsumed by 6437 during input processing: 0 [copy,9918,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)).
% 5.63/5.88 Following clause subsumed by 11396 during input processing: 0 [copy,9970,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)).
% 5.63/5.88 Following clause subsumed by 11371 during input processing: 0 [copy,10016,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)).
% 5.63/5.90 Following clause subsumed by 11020 during input processing: 0 [copy,10285,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_OgreaterThanLessThan(tc_Int_Oint,A,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_OgreaterThanAtMost(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),A),c_Int_OMin),B)).
% 5.63/5.90 10449 back subsumes 10276.
% 5.63/5.90 10501 back subsumes 9922.
% 5.63/5.90 Following clause subsumed by 6902 during input processing: 0 [copy,10626,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)))).
% 5.63/5.90 10646 back subsumes 10373.
% 5.63/5.90 10646 back subsumes 10372.
% 5.63/5.90 Following clause subsumed by 6915 during input processing: 0 [copy,10664,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)).
% 5.63/5.90 Following clause subsumed by 6917 during input processing: 0 [copy,10665,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)).
% 5.63/5.90 Following clause subsumed by 6974 during input processing: 0 [copy,10675,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).
% 5.63/5.90 Following clause subsumed by 11785 during input processing: 0 [copy,10681,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).
% 5.63/5.90 Following clause subsumed by 10692 during input processing: 0 [copy,10691,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).
% 5.63/5.90 Following clause subsumed by 10691 during input processing: 0 [copy,10692,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).
% 5.63/5.90 Following clause subsumed by 12288 during input processing: 0 [copy,10699,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))).
% 5.63/5.90 Following clause subsumed by 10712 during input processing: 0 [copy,10701,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)).
% 5.63/5.90 Following clause subsumed by 10711 during input processing: 0 [copy,10705,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)).
% 5.63/5.90 Following clause subsumed by 10708 during input processing: 0 [copy,10706,flip.1] {-} hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,tc_fun(B,tc_HOL_Obool)),C),hAPP(hAPP(c_COMBB(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool),A),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(B,tc_HOL_Obool)),D)),E))=hAPP(hAPP(c_COMBS(B,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),B),c_fdisj),D)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,tc_fun(B,tc_HOL_Obool)),C),E)).
% 5.63/5.90 Following clause subsumed by 10709 during input processing: 0 [copy,10707,flip.1] {-} hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,tc_fun(B,tc_HOL_Obool)),C),hAPP(hAPP(c_COMBC(A,tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(B,tc_HOL_Obool),tc_fun(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool)),A),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(B,tc_HOL_Obool))),D)),E))=hAPP(hAPP(c_COMBS(B,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),B),c_fdisj),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,tc_fun(B,tc_HOL_Obool)),C),D))),E).
% 5.63/5.90 Following clause subsumed by 10706 during input processing: 0 [copy,10708,flip.1] {-} hAPP(hAPP(c_COMBS(A,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),A),c_fdisj),B)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(C,tc_fun(A,tc_HOL_Obool)),D),E))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(C,tc_fun(A,tc_HOL_Obool)),D),hAPP(hAPP(c_COMBB(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool),C),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool)),B)),E)).
% 5.63/5.90 Following clause subsumed by 10707 during input processing: 0 [copy,10709,flip.1] {-} hAPP(hAPP(c_COMBS(A,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),A),c_fdisj),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(B,tc_fun(A,tc_HOL_Obool)),C),D))),E)=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(B,tc_fun(A,tc_HOL_Obool)),C),hAPP(hAPP(c_COMBC(B,tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(A,tc_HOL_Obool),tc_fun(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),B),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool))),D)),E)).
% 5.63/5.90 Following clause subsumed by 10705 during input processing: 0 [copy,10711,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_OSUPR(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)),E),D))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(B,tc_fun(A,tc_HOL_Obool)),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)),E)),D).
% 5.63/5.90 Following clause subsumed by 10701 during input processing: 0 [copy,10712,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_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)),B).
% 5.73/5.93 Following clause subsumed by 9728 during input processing: 0 [copy,10717,flip.1] {-} hAPP(hAPP(c_COMBS(A,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),A),c_fdisj),hAPP(c_Set_Oimage(B,A,C),D))),hAPP(c_Set_Oimage(B,A,C),E))=hAPP(c_Set_Oimage(B,A,C),hAPP(hAPP(c_COMBS(B,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),B),c_fdisj),D)),E)).
% 5.73/5.93 Following clause subsumed by 7084 during input processing: 0 [copy,10817,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)).
% 5.73/5.93 Following clause subsumed by 10285 during input processing: 0 [copy,11020,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_Ominus__class_Ominus(tc_Int_Oint),A),c_Int_OMin),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)).
% 5.73/5.93 Following clause subsumed by 9899 during input processing: 0 [copy,11038,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)).
% 5.73/5.93 11071 back subsumes 6540.
% 5.73/5.93 Following clause subsumed by 7140 during input processing: 0 [copy,11075,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))).
% 5.73/5.93 Following clause subsumed by 11085 during input processing: 0 [copy,11081,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).
% 5.73/5.93 Following clause subsumed by 11081 during input processing: 0 [copy,11085,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).
% 5.73/5.93 Following clause subsumed by 11093 during input processing: 0 [copy,11091,flip.1] {-} hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,tc_fun(B,tc_HOL_Obool)),C),hAPP(hAPP(c_COMBB(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool),A),hAPP(c_Groups_Ominus__class_Ominus(tc_fun(B,tc_HOL_Obool)),D)),E))=hAPP(c_Relation_OImage(B,B,c_Relation_OId__on(B,D)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,B),c_fNot),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,tc_fun(B,tc_HOL_Obool)),C),E))).
% 5.73/5.93 Following clause subsumed by 11094 during input processing: 0 [copy,11092,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)).
% 5.73/5.98 Following clause subsumed by 11091 during input processing: 0 [copy,11093,flip.1] {-} hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,B)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(C,tc_fun(A,tc_HOL_Obool)),D),E)))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,tc_fun(A,tc_HOL_Obool)),D),hAPP(hAPP(c_COMBB(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool),C),hAPP(c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool)),B)),E)).
% 5.73/5.98 Following clause subsumed by 11092 during input processing: 0 [copy,11094,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)).
% 5.73/5.98 Following clause subsumed by 7185 during input processing: 0 [copy,11103,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)).
% 5.73/5.98 Following clause subsumed by 7187 during input processing: 0 [copy,11104,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)).
% 5.73/5.98 Following clause subsumed by 9726 during input processing: 0 [copy,11127,flip.1] {-} hAPP(c_COMBK(tc_HOL_Obool,A),c_fFalse)=hAPP(c_Set_Oimage(B,A,C),hAPP(c_COMBK(tc_HOL_Obool,B),c_fFalse)).
% 5.73/5.98 Following clause subsumed by 7226 during input processing: 0 [copy,11315,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)).
% 5.73/5.98 Following clause subsumed by 7231 during input processing: 0 [copy,11316,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)).
% 5.73/5.98 Following clause subsumed by 7287 during input processing: 0 [copy,11328,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).
% 5.73/5.98 Following clause subsumed by 7295 during input processing: 0 [copy,11330,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)).
% 5.73/5.98 Following clause subsumed by 7300 during input processing: 0 [copy,11331,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))).
% 5.73/5.98 Following clause subsumed by 12380 during input processing: 0 [copy,11333,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))).
% 5.73/5.98 Following clause subsumed by 7314 during input processing: 0 [copy,11334,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))).
% 5.73/5.98 Following clause subsumed by 7366 during input processing: 0 [copy,11347,flip.1] {-} c_Nat_Onat_Onat__case(A,B,C,hAPP(c_Nat_OSuc,D))=hAPP(C,D).
% 5.73/5.98 Following clause subsumed by 7368 during input processing: 0 [copy,11348,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).
% 5.73/5.98 Following clause subsumed by 7376 during input processing: 0 [copy,11349,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))).
% 5.73/5.98 Following clause subsumed by 7396 during input processing: 0 [copy,11352,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)).
% 5.73/5.98 Following clause subsumed by 8122 during input processing: 0 [copy,11354,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).
% 5.73/5.98 Following clause subsumed by 7423 during input processing: 0 [copy,11355,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)).
% 5.73/5.98 Following clause subsumed by 7431 during input processing: 0 [copy,11356,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)).
% 5.73/5.98 Following clause subsumed by 11633 during input processing: 0 [copy,11357,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))).
% 5.73/5.98 Following clause subsumed by 11632 during input processing: 0 [copy,11358,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))).
% 5.73/5.98 Following clause subsumed by 7447 during input processing: 0 [copy,11359,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).
% 5.73/5.98 Following clause subsumed by 7448 during input processing: 0 [copy,11360,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).
% 5.73/5.98 Following clause subsumed by 7460 during input processing: 0 [copy,11361,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)).
% 5.73/5.98 Following clause subsumed by 7476 during input processing: 0 [copy,11362,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).
% 5.73/5.98 Following clause subsumed by 11627 during input processing: 0 [copy,11363,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)).
% 5.73/5.98 Following clause subsumed by 10016 during input processing: 0 [copy,11371,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))).
% 5.73/5.98 Following clause subsumed by 9970 during input processing: 0 [copy,11396,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))).
% 5.73/5.98 Following clause subsumed by 7506 during input processing: 0 [copy,11400,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).
% 5.73/5.98 Following clause subsumed by 7509 during input processing: 0 [copy,11401,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))).
% 5.73/5.98 Following clause subsumed by 7510 during input processing: 0 [copy,11402,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))).
% 5.73/5.98 Following clause subsumed by 7511 during input processing: 0 [copy,11403,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)).
% 5.73/5.98 Following clause subsumed by 7512 during input processing: 0 [copy,11404,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).
% 5.73/5.98 Following clause subsumed by 7513 during input processing: 0 [copy,11405,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).
% 5.73/5.98 Following clause subsumed by 7514 during input processing: 0 [copy,11406,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)).
% 5.73/5.98 Following clause subsumed by 7549 during input processing: 0 [copy,11411,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).
% 5.73/5.99 Following clause subsumed by 7551 during input processing: 0 [copy,11412,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)).
% 5.73/5.99 Following clause subsumed by 7552 during input processing: 0 [copy,11413,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)).
% 5.73/5.99 Following clause subsumed by 7556 during input processing: 0 [copy,11414,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)).
% 5.73/5.99 Following clause subsumed by 7559 during input processing: 0 [copy,11415,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)))).
% 5.73/5.99 Following clause subsumed by 7601 during input processing: 0 [copy,11426,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))).
% 5.73/5.99 Following clause subsumed by 12317 during input processing: 0 [copy,11439,flip.1,demod,12307,12307,12307] {-} hAPP(hAPP(c_Equiv__Relations_Oquotient(A),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,B,B)),C)=c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(c_Relation_OImage(A,A,C),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,B,B)),hAPP(c_Relation_OImage(A,A,C),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,B,B))).
% 5.73/5.99 Following clause subsumed by 7643 during input processing: 0 [copy,11440,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)).
% 5.73/5.99 Following clause subsumed by 7644 during input processing: 0 [copy,11441,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)).
% 5.73/5.99 Following clause subsumed by 7646 during input processing: 0 [copy,11442,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).
% 5.73/5.99 Following clause subsumed by 7648 during input processing: 0 [copy,11443,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).
% 5.73/5.99 Following clause subsumed by 7650 during input processing: 0 [copy,11444,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)).
% 5.73/5.99 Following clause subsumed by 7652 during input processing: 0 [copy,11445,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)).
% 5.73/5.99 Following clause subsumed by 7653 during input processing: 0 [copy,11446,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)).
% 5.73/5.99 Following clause subsumed by 7677 during input processing: 0 [copy,11447,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)).
% 5.73/5.99 Following clause subsumed by 11805 during input processing: 0 [copy,11450,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))).
% 5.73/5.99 Following clause subsumed by 7737 during input processing: 0 [copy,11484,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)).
% 5.73/5.99 Following clause subsumed by 7740 during input processing: 0 [copy,11487,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)).
% 5.73/5.99 Following clause subsumed by 7743 during input processing: 0 [copy,11488,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)).
% 5.73/5.99 Following clause subsumed by 7748 during input processing: 0 [copy,11489,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)).
% 5.73/5.99 Following clause subsumed by 7752 during input processing: 0 [copy,11490,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).
% 5.73/5.99 Following clause subsumed by 7754 during input processing: 0 [copy,11491,flip.1] {-} hAPP(c_Set_Ovimage(A,B,C),D)=hAPP(hAPP(c_COMBB(B,tc_HOL_Obool,A),D),C).
% 5.73/5.99 Following clause subsumed by 7756 during input processing: 0 [copy,11492,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).
% 5.73/5.99 Following clause subsumed by 7769 during input processing: 0 [copy,11494,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)).
% 5.73/5.99 Following clause subsumed by 7774 during input processing: 0 [copy,11495,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))).
% 5.73/5.99 Following clause subsumed by 7778 during input processing: 0 [copy,11496,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)))).
% 5.73/5.99 Following clause subsumed by 7786 during input processing: 0 [copy,11497,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)).
% 5.73/5.99 Following clause subsumed by 7796 during input processing: 0 [copy,11501,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))).
% 5.73/5.99 Following clause subsumed by 7801 during input processing: 0 [copy,11502,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).
% 5.73/5.99 Following clause subsumed by 11529 during input processing: 0 [copy,11503,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)).
% 5.73/5.99 Following clause subsumed by 11528 during input processing: 0 [copy,11504,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).
% 5.73/5.99 Following clause subsumed by 7812 during input processing: 0 [copy,11507,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)).
% 5.82/6.00 Following clause subsumed by 7814 during input processing: 0 [copy,11508,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)).
% 5.82/6.00 Following clause subsumed by 7817 during input processing: 0 [copy,11511,flip.1] {-} hAPP(hAPP(c_Product__Type_OSigma(A,B),C),hAPP(hAPP(c_COMBS(A,tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(B,tc_HOL_Obool),tc_fun(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool)),A),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(B,tc_HOL_Obool))),D)),E))=hAPP(c_Relation_OImage(tc_prod(A,B),tc_prod(A,B),c_Relation_OId__on(tc_prod(A,B),hAPP(hAPP(c_Product__Type_OSigma(A,B),C),D))),hAPP(hAPP(c_Product__Type_OSigma(A,B),C),E)).
% 5.82/6.00 Following clause subsumed by 7821 during input processing: 0 [copy,11514,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)).
% 5.82/6.00 Following clause subsumed by 12177 during input processing: 0 [copy,11517,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))).
% 5.82/6.00 Following clause subsumed by 11504 during input processing: 0 [copy,11528,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)).
% 5.82/6.00 Following clause subsumed by 11503 during input processing: 0 [copy,11529,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)).
% 5.82/6.00 11531 back subsumes 9470.
% 5.82/6.00 11532 back subsumes 9474.
% 5.82/6.00 11550 back subsumes 9564.
% 5.82/6.00 Following clause subsumed by 7863 during input processing: 0 [copy,11557,flip.1] {-} c_Product__Type_Oapsnd(A,A,B,c_Fun_Oid(A))=c_Product__Type_Oapfst(B,B,A,c_Fun_Oid(B)).
% 5.82/6.00 Following clause subsumed by 11614 during input processing: 0 [copy,11558,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)).
% 5.82/6.00 Following clause subsumed by 7870 during input processing: 0 [copy,11559,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)).
% 5.82/6.00 Following clause subsumed by 7871 during input processing: 0 [copy,11560,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)).
% 5.82/6.00 Following clause subsumed by 7872 during input processing: 0 [copy,11561,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)).
% 5.82/6.00 Following clause subsumed by 7876 during input processing: 0 [copy,11562,flip.1] {-} c_Product__Type_Omap__pair(A,A,B,B,c_COMBI(A),c_COMBI(B))=c_Product__Type_Oapfst(A,A,B,c_Fun_Oid(A)).
% 5.82/6.00 Following clause subsumed by 7877 during input processing: 0 [copy,11563,flip.1] {-} c_Product__Type_Oapfst(A,B,C,D)=c_Product__Type_Omap__pair(A,B,C,C,D,c_Fun_Oid(C)).
% 5.82/6.00 11563 back subsumes 7880.
% 5.82/6.00 Following clause subsumed by 7878 during input processing: 0 [copy,11564,flip.1] {-} c_Product__Type_Oapsnd(A,B,C,D)=c_Product__Type_Omap__pair(C,C,A,B,c_Fun_Oid(C),D).
% 5.82/6.00 Following clause subsumed by 7898 during input processing: 0 [copy,11565,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))).
% 5.82/6.00 Following clause subsumed by 7901 during input processing: 0 [copy,11566,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))).
% 5.82/6.00 Following clause subsumed by 7913 during input processing: 0 [copy,11567,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).
% 5.82/6.00 Following clause subsumed by 7921 during input processing: 0 [copy,11569,flip.1] {-} hAPP(c_Fun_Ocomp(A,B,C,D),hAPP(c_Fun_Ocomp(E,A,C,F),G))=hAPP(c_Fun_Ocomp(E,B,C,hAPP(c_Fun_Ocomp(A,B,E,D),F)),G).
% 5.82/6.00 Following clause subsumed by 7924 during input processing: 0 [copy,11570,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).
% 5.82/6.00 Following clause subsumed by 7925 during input processing: 0 [copy,11571,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).
% 5.82/6.00 Following clause subsumed by 7932 during input processing: 0 [copy,11574,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)).
% 5.82/6.00 Following clause subsumed by 7933 during input processing: 0 [copy,11575,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).
% 5.82/6.00 Following clause subsumed by 7934 during input processing: 0 [copy,11576,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)).
% 5.82/6.00 Following clause subsumed by 11612 during input processing: 0 [copy,11577,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)).
% 5.82/6.00 Following clause subsumed by 7950 during input processing: 0 [copy,11579,flip.1] {-} hAPP(hAPP(c_Product__Type_Oscomp(A,B,A,C),hAPP(c_Product__Type_OPair(B,A),D)),E)=hAPP(E,D).
% 5.82/6.00 Following clause subsumed by 7951 during input processing: 0 [copy,11580,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)).
% 5.82/6.00 Following clause subsumed by 8047 during input processing: 0 [copy,11598,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)).
% 5.82/6.00 Following clause subsumed by 8048 during input processing: 0 [copy,11599,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)).
% 5.82/6.00 Following clause subsumed by 8049 during input processing: 0 [copy,11600,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)).
% 5.82/6.00 Following clause subsumed by 8051 during input processing: 0 [copy,11601,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)).
% 5.82/6.00 Following clause subsumed by 8060 during input processing: 0 [copy,11602,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)).
% 5.82/6.00 Following clause subsumed by 8098 during input processing: 0 [copy,11603,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)).
% 5.82/6.00 Following clause subsumed by 8099 during input processing: 0 [copy,11604,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)).
% 5.82/6.00 Following clause subsumed by 8103 during input processing: 0 [copy,11605,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)).
% 5.82/6.00 Following clause subsumed by 8104 during input processing: 0 [copy,11606,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)).
% 5.82/6.00 Following clause subsumed by 8106 during input processing: 0 [copy,11607,flip.1] {-} hAPP(hAPP(c_Nat_Ocompow(A,A),hAPP(c_Int_Onat,c_Int_OPls)),B)=c_Fun_Oid(A).
% 5.82/6.00 Following clause subsumed by 11577 during input processing: 0 [copy,11612,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).
% 5.82/6.00 Following clause subsumed by 11558 during input processing: 0 [copy,11614,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)).
% 5.82/6.00 Following clause subsumed by 11363 during input processing: 0 [copy,11627,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).
% 5.82/6.01 Following clause subsumed by 11358 during input processing: 0 [copy,11632,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).
% 5.82/6.01 Following clause subsumed by 11357 during input processing: 0 [copy,11633,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).
% 5.82/6.01 Following clause subsumed by 12283 during input processing: 0 [copy,11667,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))).
% 5.82/6.01 Following clause subsumed by 8219 during input processing: 0 [copy,11701,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))).
% 5.82/6.01 Following clause subsumed by 8222 during input processing: 0 [copy,11704,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)).
% 5.82/6.01 Following clause subsumed by 8243 during input processing: 0 [copy,11711,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)).
% 5.82/6.01 Following clause subsumed by 8244 during input processing: 0 [copy,11712,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))).
% 5.82/6.01 Following clause subsumed by 8248 during input processing: 0 [copy,11713,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).
% 5.82/6.01 Following clause subsumed by 8252 during input processing: 0 [copy,11714,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).
% 5.82/6.01 Following clause subsumed by 8303 during input processing: 0 [copy,11715,flip.1] {-} c_List_Osublist(A,B,hAPP(c_COMBK(tc_HOL_Obool,tc_Nat_Onat),c_fFalse))=c_List_Olist_ONil(A).
% 5.82/6.01 Following clause subsumed by 8288 during input processing: 0 [copy,11716,flip.1] {-} hAPP(hAPP(c_List_Ozip(A,B),c_List_Olist_ONil(A)),C)=c_List_Olist_ONil(tc_prod(A,B)).
% 5.82/6.01 Following clause subsumed by 8289 during input processing: 0 [copy,11717,flip.1] {-} hAPP(hAPP(c_List_Ozip(A,B),C),c_List_Olist_ONil(B))=c_List_Olist_ONil(tc_prod(A,B)).
% 5.82/6.01 Following clause subsumed by 11861 during input processing: 0 [copy,11718,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)),hAPP(c_Int_Onat,hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_Odivmod__int(c_Int_OMin,c_Int_OMin)))))=c_List_Oinsert(A,B,c_List_Olist_ONil(A)).
% 5.82/6.01 Following clause subsumed by 8311 during input processing: 0 [copy,11719,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).
% 5.82/6.01 Following clause subsumed by 8334 during input processing: 0 [copy,11720,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).
% 5.82/6.01 Following clause subsumed by 8339 during input processing: 0 [copy,11721,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).
% 5.82/6.01 Following clause subsumed by 8368 during input processing: 0 [copy,11726,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)).
% 5.82/6.01 Following clause subsumed by 8406 during input processing: 0 [copy,11727,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)).
% 5.82/6.01 Following clause subsumed by 8420 during input processing: 0 [copy,11728,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).
% 5.82/6.01 Following clause subsumed by 11855 during input processing: 0 [copy,11729,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))).
% 5.82/6.01 Following clause subsumed by 8427 during input processing: 0 [copy,11730,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))).
% 5.82/6.01 Following clause subsumed by 8450 during input processing: 0 [copy,11731,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)).
% 5.82/6.01 Following clause subsumed by 8457 during input processing: 0 [copy,11732,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)).
% 5.82/6.01 Following clause subsumed by 8469 during input processing: 0 [copy,11733,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)).
% 5.82/6.01 Following clause subsumed by 8470 during input processing: 0 [copy,11734,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)).
% 5.82/6.01 Following clause subsumed by 8471 during input processing: 0 [copy,11735,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).
% 5.82/6.01 Following clause subsumed by 8485 during input processing: 0 [copy,11736,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).
% 5.82/6.01 Following clause subsumed by 8486 during input processing: 0 [copy,11737,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).
% 5.82/6.01 Following clause subsumed by 8499 during input processing: 0 [copy,11738,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).
% 5.82/6.01 Following clause subsumed by 8500 during input processing: 0 [copy,11739,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)).
% 5.82/6.01 Following clause subsumed by 8501 during input processing: 0 [copy,11740,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)).
% 5.82/6.01 Following clause subsumed by 8503 during input processing: 0 [copy,11741,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)).
% 5.82/6.01 Following clause subsumed by 8505 during input processing: 0 [copy,11742,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)).
% 5.82/6.01 Following clause subsumed by 8507 during input processing: 0 [copy,11743,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)).
% 5.82/6.01 Following clause subsumed by 8509 during input processing: 0 [copy,11744,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)).
% 5.82/6.01 Following clause subsumed by 8511 during input processing: 0 [copy,11745,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)).
% 5.82/6.01 Following clause subsumed by 8512 during input processing: 0 [copy,11746,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).
% 5.82/6.01 Following clause subsumed by 8513 during input processing: 0 [copy,11747,flip.1] {-} hAPP(hAPP(c_List_Omap(A,B),C),c_List_Olist_ONil(A))=c_List_Olist_ONil(B).
% 5.82/6.01 Following clause subsumed by 8518 during input processing: 0 [copy,11748,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).
% 5.82/6.01 Following clause subsumed by 11963 during input processing: 0 [copy,11749,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)).
% 5.82/6.01 Following clause subsumed by 8527 during input processing: 0 [copy,11750,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)).
% 5.82/6.01 Following clause subsumed by 8528 during input processing: 0 [copy,11751,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)).
% 5.82/6.01 Following clause subsumed by 8530 during input processing: 0 [copy,11752,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)).
% 5.82/6.01 Following clause subsumed by 8537 during input processing: 0 [copy,11755,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)).
% 5.82/6.01 Following clause subsumed by 8538 during input processing: 0 [copy,11756,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).
% 5.82/6.01 Following clause subsumed by 8539 during input processing: 0 [copy,11757,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).
% 5.82/6.01 Following clause subsumed by 8561 during input processing: 0 [copy,11783,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))).
% 5.82/6.01 Following clause subsumed by 8585 during input processing: 0 [copy,11784,flip.1] {-} hAPP(c_Code__Numeral_Onat__of,A)=c_Code__Numeral_Onat__of__aux(A,hAPP(c_Int_Onat,c_Int_OPls)).
% 5.82/6.01 Following clause subsumed by 10681 during input processing: 0 [copy,11785,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)))).
% 5.82/6.01 Following clause subsumed by 8592 during input processing: 0 [copy,11788,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)))).
% 5.82/6.01 Following clause subsumed by 8606 during input processing: 0 [copy,11794,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)).
% 5.82/6.01 Following clause subsumed by 8618 during input processing: 0 [copy,11795,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)).
% 5.82/6.01 Following clause subsumed by 8619 during input processing: 0 [copy,11796,flip.1] {-} c_Enum_Oproduct(A,B,c_List_Olist_ONil(A),C)=c_List_Olist_ONil(tc_prod(A,B)).
% 5.82/6.01 Following clause subsumed by 8632 during input processing: 0 [copy,11797,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))))).
% 5.82/6.01 Following clause subsumed by 11450 during input processing: 0 [copy,11805,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).
% 5.82/6.01 Following clause subsumed by 8642 during input processing: 0 [copy,11813,flip.1] {-} c_Enum_On__lists(A,hAPP(c_Int_Onat,c_Int_OPls),B)=c_Enum_Osublists(A,c_List_Olist_ONil(A)).
% 5.82/6.01 Following clause subsumed by 8643 during input processing: 0 [copy,11814,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).
% 5.82/6.01 Following clause subsumed by 8671 during input processing: 0 [copy,11818,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)).
% 5.82/6.01 Following clause subsumed by 8716 during input processing: 0 [copy,11822,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).
% 5.82/6.01 Following clause subsumed by 8717 during input processing: 0 [copy,11823,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).
% 5.82/6.01 Following clause subsumed by 8721 during input processing: 0 [copy,11824,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)).
% 5.82/6.01 Following clause subsumed by 8732 during input processing: 0 [copy,11825,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)).
% 5.82/6.01 Following clause subsumed by 11941 during input processing: 0 [copy,11827,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).
% 5.82/6.01 Following clause subsumed by 8756 during input processing: 0 [copy,11829,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)))).
% 5.82/6.01 Following clause subsumed by 8771 during input processing: 0 [copy,11830,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)).
% 5.82/6.01 Following clause subsumed by 8774 during input processing: 0 [copy,11831,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).
% 5.82/6.01 Following clause subsumed by 8782 during input processing: 0 [copy,11832,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))))).
% 5.82/6.01 Following clause subsumed by 11834 during input processing: 0 [copy,11833,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)).
% 5.82/6.01 Following clause subsumed by 11833 during input processing: 0 [copy,11834,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).
% 5.82/6.01 Following clause subsumed by 8788 during input processing: 0 [copy,11835,flip.1] {-} c_List_Oupt(A,hAPP(c_Int_Onat,c_Int_OPls))=c_List_Olist_ONil(tc_Nat_Onat).
% 5.82/6.01 Following clause subsumed by 8791 during input processing: 0 [copy,11836,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).
% 5.82/6.01 Following clause subsumed by 8816 during input processing: 0 [copy,11837,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)).
% 5.82/6.01 Following clause subsumed by 8820 during input processing: 0 [copy,11838,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)).
% 5.82/6.01 Following clause subsumed by 8821 during input processing: 0 [copy,11839,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)).
% 5.82/6.01 Following clause subsumed by 8828 during input processing: 0 [copy,11840,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).
% 5.82/6.01 Following clause subsumed by 11848 during input processing: 0 [copy,11841,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))).
% 5.82/6.01 Following clause subsumed by 8840 during input processing: 0 [copy,11842,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))))).
% 5.82/6.01 Following clause subsumed by 8852 during input processing: 0 [copy,11843,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)).
% 5.82/6.02 Following clause subsumed by 8853 during input processing: 0 [copy,11844,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)).
% 5.82/6.02 Following clause subsumed by 8869 during input processing: 0 [copy,11846,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).
% 5.82/6.02 Following clause subsumed by 11841 during input processing: 0 [copy,11848,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)).
% 5.82/6.02 Following clause subsumed by 11729 during input processing: 0 [copy,11855,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)).
% 5.82/6.02 Following clause subsumed by 11718 during input processing: 0 [copy,11861,flip.1] {-} c_List_Oinsert(A,B,c_List_Olist_ONil(A))=c_List_Osublist(A,hAPP(hAPP(c_List_Olist_OCons(A),B),C),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(c_Int_Onat,c_Int_OPls)),hAPP(c_Int_Onat,hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_Odivmod__int(c_Int_OMin,c_Int_OMin))))).
% 5.82/6.02 Following clause subsumed by 8908 during input processing: 0 [copy,11890,flip.1] {-} c_List_Omaps(A,B,C,c_List_Olist_ONil(A))=c_List_Olist_ONil(B).
% 5.82/6.02 Following clause subsumed by 8909 during input processing: 0 [copy,11891,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)).
% 5.82/6.02 Following clause subsumed by 8947 during input processing: 0 [copy,11892,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)).
% 5.82/6.02 Following clause subsumed by 8950 during input processing: 0 [copy,11893,flip.1] {-} c_New__Random__Sequence_Opos__empty(A,B,C,D)=c_New__DSequence_Opos__empty(A).
% 5.82/6.02 Following clause subsumed by 8951 during input processing: 0 [copy,11894,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)).
% 5.82/6.02 Following clause subsumed by 8952 during input processing: 0 [copy,11895,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)).
% 5.82/6.02 Following clause subsumed by 8953 during input processing: 0 [copy,11896,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)).
% 5.82/6.02 Following clause subsumed by 8956 during input processing: 0 [copy,11897,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)).
% 5.82/6.02 Following clause subsumed by 8959 during input processing: 0 [copy,11898,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)).
% 5.82/6.02 Following clause subsumed by 8972 during input processing: 0 [copy,11903,flip.1] {-} hAPP(c_New__DSequence_Opos__single(A,B),C)=hAPP(c_Lazy__Sequence_Osingle(A),B).
% 5.82/6.02 Following clause subsumed by 8973 during input processing: 0 [copy,11904,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)).
% 5.82/6.02 Following clause subsumed by 8974 during input processing: 0 [copy,11905,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)).
% 5.82/6.02 Following clause subsumed by 8980 during input processing: 0 [copy,11906,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)).
% 5.82/6.02 Following clause subsumed by 8990 during input processing: 0 [copy,11907,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).
% 5.82/6.02 Following clause subsumed by 8991 during input processing: 0 [copy,11908,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)).
% 5.82/6.02 Following clause subsumed by 9003 during input processing: 0 [copy,11909,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).
% 5.82/6.02 Following clause subsumed by 9007 during input processing: 0 [copy,11910,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)).
% 5.82/6.02 Following clause subsumed by 9019 during input processing: 0 [copy,11911,flip.1] {-} c_List_Oreplicate(A,hAPP(c_Int_Onat,c_Int_OPls),B)=c_List_Olist_ONil(A).
% 5.82/6.02 Following clause subsumed by 12282 during input processing: 0 [copy,11916,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))).
% 5.82/6.02 Following clause subsumed by 11919 during input processing: 0 [copy,11917,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_Int_Onat,hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_Odivmod__int(c_Int_OMin,c_Int_OMin))))),B).
% 5.82/6.02 Following clause subsumed by 11917 during input processing: 0 [copy,11919,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_Int_Onat,hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_Odivmod__int(c_Int_OMin,c_Int_OMin))))),B)=hAPP(c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(A)),B).
% 5.82/6.02 Following clause subsumed by 9061 during input processing: 0 [copy,11920,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).
% 5.82/6.02 Following clause subsumed by 11827 during input processing: 0 [copy,11941,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)).
% 5.82/6.02 Following clause subsumed by 11749 during input processing: 0 [copy,11963,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)).
% 5.82/6.02 11990 back subsumes 11678.
% 5.82/6.02 12145 back subsumes 11695.
% 5.82/6.02 Following clause subsumed by 9088 during input processing: 0 [copy,12147,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)).
% 5.82/6.02 Following clause subsumed by 9089 during input processing: 0 [copy,12148,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)).
% 5.82/6.02 Following clause subsumed by 9090 during input processing: 0 [copy,12149,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)).
% 5.82/6.02 Following clause subsumed by 9092 during input processing: 0 [copy,12150,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)))).
% 5.82/6.03 Following clause subsumed by 9108 during input processing: 0 [copy,12151,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))))).
% 5.82/6.03 Following clause subsumed by 9110 during input processing: 0 [copy,12152,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))))).
% 5.82/6.03 Following clause subsumed by 9119 during input processing: 0 [copy,12153,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)))))).
% 5.82/6.03 Following clause subsumed by 12371 during input processing: 0 [copy,12154,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))).
% 5.82/6.03 Following clause subsumed by 9153 during input processing: 0 [copy,12155,flip.1] {-} hAPP(hAPP(c_Product__Type_Ocurry(A,B,C,D),E),F)=hAPP(D,hAPP(hAPP(c_Product__Type_OPair(A,B),E),F)).
% 5.82/6.03 Following clause subsumed by 9172 during input processing: 0 [copy,12156,flip.1] {-} hAPP(c_Lazy__Sequence_Obind(A,B,C),D)=c_Lazy__Sequence_Oflat(B,c_Lazy__Sequence_Omap(A,tc_Lazy__Sequence_Olazy__sequence(B),D,C)).
% 5.82/6.03 Following clause subsumed by 9173 during input processing: 0 [copy,12157,flip.1] {-} c_Lazy__Sequence_Omap(A,B,C,c_Lazy__Sequence_Olazy__sequence_OInsert(A,D,E))=c_Lazy__Sequence_Olazy__sequence_OInsert(B,hAPP(C,D),c_Lazy__Sequence_Omap(A,B,C,E)).
% 5.82/6.03 Following clause subsumed by 9174 during input processing: 0 [copy,12158,flip.1] {-} c_Lazy__Sequence_Omap(A,B,C,c_Lazy__Sequence_Olazy__sequence_OEmpty(A))=c_Lazy__Sequence_Olazy__sequence_OEmpty(B).
% 5.82/6.03 Following clause subsumed by 9406 during input processing: 0 [copy,12160,flip.1] {-} hAPP(hAPP(hAPP(c_COMBC(A,B,C),D),E),F)=hAPP(hAPP(D,F),E).
% 5.82/6.03 Following clause subsumed by 9407 during input processing: 0 [copy,12161,flip.1] {-} hAPP(hAPP(hAPP(c_COMBS(A,B,C),D),E),F)=hAPP(hAPP(D,F),hAPP(E,F)).
% 5.82/6.03 Following clause subsumed by 9574 during input processing: 0 [copy,12163,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).
% 5.82/6.03 Following clause subsumed by 9575 during input processing: 0 [copy,12164,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).
% 5.82/6.03 Following clause subsumed by 12166 during input processing: 0 [copy,12165,flip.1] {-} hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,B)),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,hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,B)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),D)))),C).
% 5.82/6.03 Following clause subsumed by 12165 during input processing: 0 [copy,12166,flip.1] {-} hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,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)))),D)=hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,B)),D))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),C)).
% 5.82/6.03 Following clause subsumed by 11517 during input processing: 0 [copy,12177,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).
% 5.82/6.03 Following clause subsumed by 12260 during input processing: 0 [copy,12229,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)))).
% 5.82/6.03 Following clause subsumed by 12229 during input processing: 0 [copy,12260,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)).
% 5.82/6.03 Following clause subsumed by 11916 during input processing: 0 [copy,12282,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)).
% 5.82/6.03 Following clause subsumed by 11667 during input processing: 0 [copy,12283,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)).
% 5.82/6.03 Following clause subsumed by 10699 during input processing: 0 [copy,12288,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)).
% 5.82/6.03 Following clause subsumed by 10627 during input processing: 0 [copy,12291,flip.1] {-} hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),B)))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B),B))).
% 5.93/6.11 Following clause subsumed by 10704 during input processing: 0 [copy,12304,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_OSUPR(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)),C),E))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(B,tc_fun(A,tc_HOL_Obool)),C),hAPP(hAPP(c_COMBS(B,tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(A,tc_HOL_Obool),tc_fun(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),B),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool))),D)),E)).
% 5.93/6.11 Following clause subsumed by 10710 during input processing: 0 [copy,12305,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(D,tc_fun(B,tc_HOL_Obool)),tc_fun(B,tc_HOL_Obool),A),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(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__sup__class_Osup(tc_fun(B,tc_HOL_Obool))),F))),G)))=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),F))),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(D,tc_fun(B,tc_HOL_Obool)),E),G)).
% 5.93/6.11 Following clause subsumed by 12549 during input processing: 0 [copy,12317,flip.1] {-} c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(c_Relation_OImage(A,A,B),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,C,C)),hAPP(c_Relation_OImage(A,A,B),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,C,C)))=hAPP(hAPP(c_Equiv__Relations_Oquotient(A),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,C,C)),B).
% 5.93/6.11 Following clause subsumed by 12396 during input processing: 0 [copy,12329,flip.1] {-} hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,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(A,tc_HOL_Obool)),E),D))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(B,tc_fun(A,tc_HOL_Obool)),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)),E)),D).
% 5.93/6.11 Following clause subsumed by 12395 during input processing: 0 [copy,12330,flip.1,demod,12387] {-} 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),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,C,C)))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,D),c_fNot),E)))),B).
% 5.93/6.11 Following clause subsumed by 12338 during input processing: 0 [copy,12331,flip.1] {-} hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),B),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(A,tc_HOL_Obool)),C))=hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,C)),c_Complete__Lattice_OSup__class_OSup(tc_fun(A,tc_HOL_Obool),B)).
% 5.93/6.11 Following clause subsumed by 12334 during input processing: 0 [copy,12332,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)).
% 5.93/6.11 Following clause subsumed by 12335 during input processing: 0 [copy,12333,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)).
% 5.93/6.11 Following clause subsumed by 12332 during input processing: 0 [copy,12334,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)).
% 5.93/6.11 Following clause subsumed by 12333 during input processing: 0 [copy,12335,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).
% 5.93/6.11 Following clause subsumed by 12331 during input processing: 0 [copy,12338,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)).
% 5.93/6.11 Following clause subsumed by 12392 during input processing: 0 [copy,12339,flip.1,demod,12387] {-} hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,tc_fun(B,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,C,C)))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),D)))),E)=hAPP(c_Relation_OImage(B,B,c_Relation_OId__on(B,hAPP(E,C))),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,tc_fun(B,tc_HOL_Obool)),D),E)).
% 5.93/6.11 12366 back subsumes 12193.
% 5.93/6.11 Following clause subsumed by 12154 during input processing: 0 [copy,12371,flip.1] {-} c_Hilbert__Choice_OEps(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_Hilbert__Choice_Oinv__into(A,C,B,D),E).
% 5.93/6.11 Following clause subsumed by 11333 during input processing: 0 [copy,12380,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).
% 5.93/6.12 Following clause subsumed by 12395 during input processing: 0 [copy,12392,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),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,C,C)))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,D),c_fNot),E)))),B).
% 5.93/6.12 Following clause subsumed by 12392 during input processing: 0 [copy,12395,flip.1] {-} hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,tc_fun(B,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,C,C)))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),D)))),E)=hAPP(c_Relation_OImage(B,B,c_Relation_OId__on(B,hAPP(E,C))),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,tc_fun(B,tc_HOL_Obool)),D),E)).
% 5.93/6.12 Following clause subsumed by 12329 during input processing: 0 [copy,12396,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)).
% 5.93/6.12 12403 back subsumes 12199.
% 5.93/6.12 12438 back subsumes 12174.
% 5.93/6.12 12458 back subsumes 12182.
% 5.93/6.12 Following clause subsumed by 11327 during input processing: 0 [copy,12460,flip.1] {-} hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,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)))),c_Complete__Lattice_OInf__class_OInf(tc_fun(A,tc_HOL_Obool),hAPP(c_Set_Oimage(B,tc_fun(A,tc_HOL_Obool),E),D)))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(B,tc_fun(A,tc_HOL_Obool)),D),hAPP(hAPP(c_COMBS(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))),C)),E)).
% 5.93/6.12 Following clause subsumed by 11332 during input processing: 0 [copy,12461,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).
% 5.93/6.12 Following clause subsumed by 11345 during input processing: 0 [copy,12463,flip.1] {-} hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_COMBK(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls)))),c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls))),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),C))))))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_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),B)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Otimes__class_Otimes(tc_Nat_Onat)),C))),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(c_Int_Onat,c_Int_OPls)),A))).
% 5.93/6.12 Following clause subsumed by 12477 during input processing: 0 [copy,12468,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),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,C,C)).
% 5.93/6.12 Following clause subsumed by 11410 during input processing: 0 [copy,12469,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).
% 5.93/6.12 Following clause subsumed by 12474 during input processing: 0 [copy,12471,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),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),A),hAPP(c_Int_Onat,c_Int_OPls)),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_COMBK(tc_HOL_Obool,tc_Nat_Onat),c_fFalse)))))))=hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),A).
% 5.93/6.12 Following clause subsumed by 12471 during input processing: 0 [copy,12474,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_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),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),A),hAPP(c_Int_Onat,c_Int_OPls)),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_COMBK(tc_HOL_Obool,tc_Nat_Onat),c_fFalse))))))).
% 5.93/6.12 Following clause subsumed by 12515 during input processing: 0 [copy,12475,flip.1] {-} c_Nitpick_OAbs__Frac(A,hAPP(c_Divides_OnegateSnd,hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),B),c_Int_OMin)))=c_Nitpick_Onumber__of__frac(A,B).
% 5.93/6.12 Following clause subsumed by 12489 during input processing: 0 [copy,12476,flip.1] {-} hAPP(hAPP(c_Product__Type_OPair(A,B),C),D)=c_Enum_Oenum__the(tc_prod(A,B),c_Nitpick_Oprod(A,B,c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,C,C),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,D,D))).
% 5.93/6.12 Following clause subsumed by 12468 during input processing: 0 [copy,12477,flip.1] {-} hAPP(c_Relation_OImage(A,B,C),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,D,D))=hAPP(c_Set_Ovimage(B,tc_prod(A,B),hAPP(c_Product__Type_OPair(A,B),D)),C).
% 5.93/6.12 Following clause subsumed by 11556 during input processing: 0 [copy,12478,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)).
% 5.93/6.12 Following clause subsumed by 12546 during input processing: 0 [copy,12479,flip.1] {-} hAPP(hAPP(c_Product__Type_OPair(A,B),C),D)=c_Hilbert__Choice_OEps(tc_prod(A,B),c_Nitpick_Oprod(A,B,c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,C,C),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,D,D))).
% 5.93/6.12 Following clause subsumed by 12508 during input processing: 0 [copy,12483,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),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,B,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)).
% 5.93/6.12 Following clause subsumed by 11677 during input processing: 0 [copy,12484,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)).
% 5.93/6.12 Following clause subsumed by 11700 during input processing: 0 [copy,12485,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)).
% 5.93/6.12 Following clause subsumed by 11709 during input processing: 0 [copy,12486,flip.1] {-} c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,A,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B),hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_Odivmod__int(c_Int_OMin,c_Int_OMin))))=hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint,A),B).
% 5.93/6.12 Following clause subsumed by 12514 during input processing: 0 [copy,12487,flip.1] {-} c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),A),c_Int_OMin),B)=c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Int_Oint,A,B).
% 5.93/6.13 Following clause subsumed by 12513 during input processing: 0 [copy,12488,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_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_Odivmod__int(c_Int_OMin,c_Int_OMin))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_Odivmod__int(c_Int_OMin,c_Int_OMin))),c_Int_OMin))))),B)))=hAPP(c_New__DSequence_Opos__not__seq(A),B).
% 5.93/6.13 Following clause subsumed by 12476 during input processing: 0 [copy,12489,flip.1] {-} c_Enum_Oenum__the(tc_prod(A,B),c_Nitpick_Oprod(A,B,c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,C,C),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,D,D)))=hAPP(hAPP(c_Product__Type_OPair(A,B),C),D).
% 5.93/6.13 Following clause subsumed by 12493 during input processing: 0 [copy,12490,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),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,C,C)))=hAPP(c_List_Omember(A),hAPP(c_List_OremoveAll(A,C),B)).
% 5.93/6.13 Following clause subsumed by 11821 during input processing: 0 [copy,12491,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)).
% 5.93/6.13 Following clause subsumed by 11826 during input processing: 0 [copy,12492,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)).
% 5.93/6.13 Following clause subsumed by 12490 during input processing: 0 [copy,12493,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),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,B,B))).
% 5.93/6.13 Following clause subsumed by 12502 during input processing: 0 [copy,12494,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),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,B,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)).
% 5.93/6.13 Following clause subsumed by 11885 during input processing: 0 [copy,12496,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)).
% 5.93/6.13 Following clause subsumed by 11886 during input processing: 0 [copy,12497,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)).
% 5.93/6.13 Following clause subsumed by 11887 during input processing: 0 [copy,12498,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).
% 5.93/6.13 Following clause subsumed by 11888 during input processing: 0 [copy,12499,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).
% 5.93/6.13 Following clause subsumed by 11889 during input processing: 0 [copy,12500,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)).
% 5.93/6.13 Following clause subsumed by 11918 during input processing: 0 [copy,12501,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_Int_Onat,hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_Odivmod__int(c_Int_OMin,c_Int_OMin)))),C)=hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(A,B),C).
% 5.93/6.13 Following clause subsumed by 12494 during input processing: 0 [copy,12502,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),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,B,B)))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),hAPP(c_List_Omember(A),C)))).
% 5.93/6.13 Following clause subsumed by 12483 during input processing: 0 [copy,12508,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),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,B,B)))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),hAPP(c_List_Omember(A),C)))).
% 5.93/6.13 Following clause subsumed by 12511 during input processing: 0 [copy,12509,flip.1] {-} c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,A,A)=c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),A,A).
% 5.93/6.13 Following clause subsumed by 12509 during input processing: 0 [copy,12511,flip.1] {-} c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),A,A)=c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,A,A).
% 5.93/6.13 Following clause subsumed by 12225 during input processing: 0 [copy,12512,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_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_Int_Onat,hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_Odivmod__int(c_Int_OMin,c_Int_OMin))),B)))).
% 5.93/6.13 Following clause subsumed by 12488 during input processing: 0 [copy,12513,flip.1] {-} hAPP(c_New__DSequence_Opos__not__seq(A),B)=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_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_Odivmod__int(c_Int_OMin,c_Int_OMin))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_Odivmod__int(c_Int_OMin,c_Int_OMin))),c_Int_OMin))))),B))).
% 5.93/6.13 Following clause subsumed by 12487 during input processing: 0 [copy,12514,flip.1] {-} c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Int_Oint,A,B)=c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),A),c_Int_OMin),B).
% 5.93/6.13 Following clause subsumed by 12475 during input processing: 0 [copy,12515,flip.1] {-} c_Nitpick_Onumber__of__frac(A,B)=c_Nitpick_OAbs__Frac(A,hAPP(c_Divides_OnegateSnd,hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),B),c_Int_OMin))).
% 5.93/6.13 Following clause subsumed by 12290 during input processing: 0 [copy,12516,flip.1] {-} hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OMin),A)=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),A),hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_Odivmod__int(c_Int_OMin,c_Int_OMin))).
% 5.93/6.13 Following clause subsumed by 12292 during input processing: 0 [copy,12517,flip.1] {-} hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_Odivmod__int(c_Int_OMin,c_Int_OMin))),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),hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_Odivmod__int(c_Int_OMin,c_Int_OMin))),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)))).
% 5.93/6.13 Following clause subsumed by 12293 during input processing: 0 [copy,12518,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),hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_Odivmod__int(c_Int_OMin,c_Int_OMin))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B),B))))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_Odivmod__int(c_Int_OMin,c_Int_OMin))),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)))).
% 5.93/6.13 Following clause subsumed by 12294 during input processing: 0 [copy,12519,flip.1] {-} hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_Odivmod__int(c_Int_OMin,c_Int_OMin))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),A))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_Odivmod__int(c_Int_OMin,c_Int_OMin))),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)).
% 5.93/6.13 Following clause subsumed by 12295 during input processing: 0 [copy,12520,flip.1] {-} hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_Odivmod__int(c_Int_OMin,c_Int_OMin))),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(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_Odivmod__int(c_Int_OMin,c_Int_OMin))),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))).
% 5.93/6.13 Following clause subsumed by 12296 during input processing: 0 [copy,12521,flip.1] {-} hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),A),c_Int_OMin))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_Odivmod__int(c_Int_OMin,c_Int_OMin))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),A)).
% 5.93/6.13 Following clause subsumed by 12297 during input processing: 0 [copy,12522,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),hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_Odivmod__int(c_Int_OMin,c_Int_OMin))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B),B)))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_Odivmod__int(c_Int_OMin,c_Int_OMin))),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_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_Odivmod__int(c_Int_OMin,c_Int_OMin)))),B)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),A),hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_Odivmod__int(c_Int_OMin,c_Int_OMin)))),B))).
% 5.93/6.13 Following clause subsumed by 12298 during input processing: 0 [copy,12523,flip.1] {-} hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_Odivmod__int(c_Int_OMin,c_Int_OMin))),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_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_Odivmod__int(c_Int_OMin,c_Int_OMin))),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),hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_Odivmod__int(c_Int_OMin,c_Int_OMin))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B),c_Int_OMin))))).
% 5.93/6.13 Following clause subsumed by 12299 during input processing: 0 [copy,12524,flip.1] {-} 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))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OPls),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OMin),hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_Odivmod__int(c_Int_OMin,c_Int_OMin))))),c_Divides_Odiv__class_Omod(tc_Int_Oint,A,B)).
% 5.93/6.13 Following clause subsumed by 12300 during input processing: 0 [copy,12525,flip.1] {-} hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OPls),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OMin),hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_Odivmod__int(c_Int_OMin,c_Int_OMin))))),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),A)),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))),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_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),C)),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_Otimes__class_Otimes(tc_Int_Oint),c_Nat__Transfer_Otsub(hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),C),hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_Odivmod__int(c_Int_OMin,c_Int_OMin)))),B)))).
% 5.93/6.13 Following clause subsumed by 12479 during input processing: 0 [copy,12546,flip.1] {-} c_Hilbert__Choice_OEps(tc_prod(A,B),c_Nitpick_Oprod(A,B,c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,C,C),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,D,D)))=hAPP(hAPP(c_Product__Type_OPair(A,B),C),D).
% 5.93/6.13 Following clause subsumed by 12317 during input processing: 0 [copy,12549,flip.1] {-} hAPP(hAPP(c_Equiv__Relations_Oquotient(A),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,B,B)),C)=c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(c_Relation_OImage(A,A,C),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,B,B)),hAPP(c_Relation_OImage(A,A,C),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,B,B))).
% 5.93/6.13 Following clause subsumed by 12336 during input processing: 0 [copy,12706,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_Complete__Lattice_Ocomplete__lattice__class_OSUPR(E,tc_fun(A,tc_HOL_Obool)),F),G))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(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_OSUPR(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__inf__class_Oinf(tc_fun(A,tc_HOL_Obool))),D))),G))).
% 5.93/6.13 Following clause subsumed by 12337 during input processing: 0 [copy,12707,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)).
% 5.93/6.13 Following clause subsumed by 12350 during input processing: 0 [copy,12708,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)).
% 5.93/6.13 Following clause subsumed by 12462 during input processing: 0 [copy,12716,flip.1] {-} hAPP(c_Divides_Oadjust(A),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),B),C))=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),C),A)),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_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OPls),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),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),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,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_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_COMBK(tc_HOL_Obool,tc_Nat_Onat),c_fFalse)))))))))),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),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,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_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_COMBK(tc_HOL_Obool,tc_Nat_Onat),c_fFalse))))))))))),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),c_Int_OPls),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),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),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,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_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_COMBK(tc_HOL_Obool,tc_Nat_Onat),c_fFalse)))))))))),B)),C))).
% 5.93/6.13 Following clause subsumed by 12464 during input processing: 0 [copy,12717,flip.1] {-} c_Divides_Oadjust(A)=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),c_Int_OPls),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),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),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,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_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_COMBK(tc_HOL_Obool,tc_Nat_Onat),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),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,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_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_COMBK(tc_HOL_Obool,tc_Nat_Onat),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),c_Int_OPls),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),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),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,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_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_COMBK(tc_HOL_Obool,tc_Nat_Onat),c_fFalse))))))))))))).
% 5.93/6.13 Following clause subsumed by 12465 during input processing: 0 [copy,12718,flip.1] {-} hAPP(c_Nat_Onat_Onat__rec(A,B,C),c_Int_Onat__aux(D,E))=hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,A),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),D),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),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,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_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_COMBK(tc_HOL_Obool,tc_Nat_Onat),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,B,C),E))),hAPP(hAPP(c_COMBS(tc_Int_Oint,A,A),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(A,A),tc_Int_Oint),C),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,B,C)),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))))).
% 5.93/6.14 Following clause subsumed by 12466 during input processing: 0 [copy,12719,flip.1] {-} hAPP(c_Nat_Onat_Onat__rec(A,B,C),hAPP(c_Int_Onat,D))=hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,A),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),D),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),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,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_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_COMBK(tc_HOL_Obool,tc_Nat_Onat),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)),B)),hAPP(hAPP(c_COMBS(tc_Int_Oint,A,A),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(A,A),tc_Int_Oint),C),c_Int_Onat)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,A,tc_Int_Oint),c_Nat_Onat_Onat__rec(A,B,C)),c_Int_Onat)))).
% 5.93/6.14 Following clause subsumed by 12470 during input processing: 0 [copy,12720,flip.1] {-} 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),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),A),B),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_COMBK(tc_HOL_Obool,tc_Nat_Onat),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),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),B),A),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_COMBK(tc_HOL_Obool,tc_Nat_Onat),c_fFalse))))))).
% 5.93/6.14 Following clause subsumed by 12472 during input processing: 0 [copy,12721,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),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),A),B),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_COMBK(tc_HOL_Obool,tc_Nat_Onat),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),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),C),D),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,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_COMBK(tc_HOL_Obool,tc_Nat_Onat),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),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),A),C)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B),D)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),A),C)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(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_COMBK(tc_HOL_Obool,tc_Nat_Onat),c_fFalse))))))).
% 5.93/6.14 Following clause subsumed by 12473 during input processing: 0 [copy,12722,flip.1] {-} 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),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(hAPP(c_Product__Type_OPair(A,A),B),C),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))))=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(c_Relation_OImage(A,A,c_Relation_OId__on(A,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,B,B)))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,C,C))))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),hAPP(c_Relation_OField(A),D)))).
% 5.93/6.14 Following clause subsumed by 12480 during input processing: 0 [copy,12723,flip.1] {-} 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),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(hAPP(c_Product__Type_OPair(A,A),B),C),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))))=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,D))),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)),B)),c_Transitive__Closure_Ortrancl(A,D)),hAPP(c_Set_Ovimage(A,tc_prod(A,A),hAPP(c_Product__Type_OPair(A,A),C)),c_Transitive__Closure_Ortrancl(A,D)))).
% 5.93/6.14 Following clause subsumed by 12507 during input processing: 0 [copy,12724,flip.1] {-} c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),A),c_Int_OMin),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B),hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_Odivmod__int(c_Int_OMin,c_Int_OMin))))=c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Int_Oint,A,B).
% 5.93/6.14 Following clause subsumed by 12510 during input processing: 0 [copy,12725,flip.1] {-} hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,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(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,D,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),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,D,D)))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),C))).
% 5.93/6.14 Following clause subsumed by 12705 during input processing: 0 [copy,12726,flip.1] {-} hAPP(c_Set_Oimage(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),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,D,D)))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),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),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(C,D),hAPP(C,D))))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,B),c_fNot),hAPP(c_Set_Oimage(A,B,C),E)))).
% 5.93/6.14
% 5.93/6.14 ======= end of input processing =======
% 5.93/6.15
% 5.93/6.15 SEGMENTATION FAULT!! This is probably caused by a
% 5.93/6.15 bug in Otter. Please send copy of the input file to
% 5.93/6.15 otter@mcs.anl.gov, let us know what version of Otter you are
% 5.93/6.15 using, and send any other info that might be useful.
% 5.93/6.15
% 5.93/6.15
% 5.93/6.15 SEGMENTATION FAULT!! This is probably caused by a
% 5.93/6.15 bug in Otter. Please send copy of the input file to
% 5.93/6.15 otter@mcs.anl.gov, let us know what version of Otter you are
% 5.93/6.15 using, and send any other info that might be useful.
% 5.93/6.15
% 5.93/6.15
% 5.93/6.15 The job finished Sun Jun 5 05:17:26 2022
%------------------------------------------------------------------------------