TSTP Solution File: SWW316+1 by SOS---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : SWW316+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 01:26:33 EDT 2022
% Result : Unknown 6.39s 6.59s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWW316+1 : TPTP v8.1.0. Released v5.2.0.
% 0.03/0.12 % 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 18:27:50 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.46/1.66 ----- Otter 3.2, August 2001 -----
% 1.46/1.66 The process was started by sandbox on n024.cluster.edu,
% 1.46/1.66 Sun Jun 5 18:27:51 2022
% 1.46/1.66 The command was "./sos". The process ID is 20276.
% 1.46/1.66
% 1.46/1.66 set(prolog_style_variables).
% 1.46/1.66 set(auto).
% 1.46/1.66 dependent: set(auto1).
% 1.46/1.66 dependent: set(process_input).
% 1.46/1.66 dependent: clear(print_kept).
% 1.46/1.66 dependent: clear(print_new_demod).
% 1.46/1.66 dependent: clear(print_back_demod).
% 1.46/1.66 dependent: clear(print_back_sub).
% 1.46/1.66 dependent: set(control_memory).
% 1.46/1.66 dependent: assign(max_mem, 12000).
% 1.46/1.66 dependent: assign(pick_given_ratio, 4).
% 1.46/1.66 dependent: assign(stats_level, 1).
% 1.46/1.66 dependent: assign(pick_semantic_ratio, 3).
% 1.46/1.66 dependent: assign(sos_limit, 5000).
% 1.46/1.66 dependent: assign(max_weight, 60).
% 1.46/1.66 clear(print_given).
% 1.46/1.66
% 1.46/1.66 formula_list(usable).
% 1.46/1.66
% 1.46/1.66 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=8.
% 1.46/1.66
% 1.46/1.66 This ia a non-Horn set with equality. The strategy will be
% 1.46/1.66 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 1.46/1.66 unit deletion, with positive clauses in sos and nonpositive
% 1.46/1.66 clauses in usable.
% 1.46/1.66
% 1.46/1.66 dependent: set(knuth_bendix).
% 1.46/1.66 dependent: set(para_from).
% 1.46/1.66 dependent: set(para_into).
% 1.46/1.66 dependent: clear(para_from_right).
% 1.46/1.66 dependent: clear(para_into_right).
% 1.46/1.66 dependent: set(para_from_vars).
% 1.46/1.66 dependent: set(eq_units_both_ways).
% 1.46/1.66 dependent: set(dynamic_demod_all).
% 1.46/1.66 dependent: set(dynamic_demod).
% 1.46/1.66 dependent: set(order_eq).
% 1.46/1.66 dependent: set(back_demod).
% 1.46/1.66 dependent: set(lrpo).
% 1.46/1.66 dependent: set(hyper_res).
% 1.46/1.66 dependent: set(unit_deletion).
% 1.46/1.66 dependent: set(factor).
% 1.46/1.66
% 1.46/1.66 ------------> process usable:
% 1.46/1.66 Following clause subsumed by 16 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.
% 1.46/1.66 Following clause subsumed by 20 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.
% 1.46/1.66 Following clause subsumed by 20 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.
% 1.46/1.66 Following clause subsumed by 20 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)).
% 1.46/1.66 Following clause subsumed by 18 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)).
% 1.46/1.66 Following clause subsumed by 30 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)).
% 1.46/1.66 Following clause subsumed by 32 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)).
% 1.46/1.66 Following clause subsumed by 34 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).
% 1.46/1.66 Following clause subsumed by 36 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).
% 1.46/1.66 Following clause subsumed by 38 during input processing: 0 [] {-} -class_Lattices_Osemilattice__sup(A)|hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(A),B),B)=B.
% 1.46/1.66 Following clause subsumed by 40 during input processing: 0 [] {-} A!=B|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(C,tc_HOL_Obool)),B),A)).
% 1.46/1.66 Following clause subsumed by 39 during input processing: 0 [] {-} A!=B|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(C,tc_HOL_Obool)),A),B)).
% 1.46/1.66 Following clause subsumed by 42 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)).
% 1.46/1.66 Following clause subsumed by 39 during input processing: 0 [] {-} A!=B|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(C,tc_HOL_Obool)),A),B)).
% 1.46/1.66 Following clause subsumed by 40 during input processing: 0 [] {-} A!=B|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(C,tc_HOL_Obool)),B),A)).
% 1.46/1.66 Following clause subsumed by 13 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)).
% 1.46/1.66 Following clause subsumed by 11 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)).
% 1.46/1.66 Following clause subsumed by 12 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)).
% 1.46/1.66 Following clause subsumed by 62 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)).
% 1.46/1.66 Following clause subsumed by 59 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)).
% 1.46/1.66 Following clause subsumed by 60 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)).
% 1.46/1.66 Following clause subsumed by 62 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)).
% 1.46/1.66 Following clause subsumed by 64 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.
% 1.46/1.66 Following clause subsumed by 72 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))).
% 1.46/1.66 Following clause subsumed by 72 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))).
% 1.46/1.66 Following clause subsumed by 14 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)).
% 1.46/1.66 Following clause subsumed by 88 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Com_Ocom_OBODY,A)),B),C))|hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,A))),B),C)).
% 1.46/1.66 Following clause subsumed by 87 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Com_Ocom_OBODY,A)),B),C))| -hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,A))),B),C)).
% 1.46/1.66 Following clause subsumed by 107 during input processing: 0 [] {-} hAPP(hAPP(c_Set_Oinsert(A),B),C)!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool)).
% 1.46/1.66 Following clause subsumed by 97 during input processing: 0 [unit_del,110] {-} -hBOOL(hAPP(hAPP(c_member(A),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool)))).
% 1.46/1.66 Following clause subsumed by 108 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).
% 1.46/1.66 Following clause subsumed by 111 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(A),B),C))|C!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool)).
% 1.46/1.66 Following clause subsumed by 97 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(A),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool)))).
% 1.46/1.66 Following clause subsumed by 100 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.
% 1.46/1.66 Following clause subsumed by 98 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)).
% 1.46/1.66 Following clause subsumed by 100 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_member(A),B),hAPP(hAPP(c_Set_Oinsert(A),C),D)))|B!=C.
% 1.46/1.66 Following clause subsumed by 99 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)).
% 1.46/1.66 Following clause subsumed by 111 during input processing: 0 [] {-} A!=c_Orderings_Obot__class_Obot(tc_fun(B,tc_HOL_Obool))| -hBOOL(hAPP(hAPP(c_member(B),C),A)).
% 1.46/1.66 Following clause subsumed by 99 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))).
% 1.46/1.66 Following clause subsumed by 96 during input processing: 0 [] {-} A!=B| -hBOOL(hAPP(hAPP(c_member(C),D),A))|hBOOL(hAPP(hAPP(c_member(C),D),B)).
% 1.46/1.66 Following clause subsumed by 95 during input processing: 0 [] {-} A!=B|hBOOL(hAPP(hAPP(c_member(C),D),A))| -hBOOL(hAPP(hAPP(c_member(C),D),B)).
% 1.46/1.66 Following clause subsumed by 130 during input processing: 0 [] {-} A!=B| -hBOOL(hAPP(hAPP(c_member(C),B),D))|hBOOL(hAPP(hAPP(c_member(C),A),D)).
% 1.46/1.66 Following clause subsumed by 116 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.
% 1.46/1.66 Following clause subsumed by 135 during input processing: 0 [] {-} -class_Enum_Oenum(A)| -hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(A),B))|hBOOL(hAPP(B,C)).
% 1.46/1.66 Following clause subsumed by 101 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)).
% 1.46/1.66 Following clause subsumed by 101 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)).
% 1.46/1.66 Following clause subsumed by 101 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)).
% 1.46/1.66 Following clause subsumed by 102 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).
% 1.46/1.66 Following clause subsumed by 102 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))).
% 1.46/1.66 Following clause subsumed by 103 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)).
% 1.46/1.66 Following clause subsumed by 105 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)).
% 1.46/1.66 Following clause subsumed by 104 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)).
% 1.46/1.66 Following clause subsumed by 105 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))).
% 1.46/1.66 Following clause subsumed by 104 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))).
% 1.46/1.66 Following clause subsumed by 39 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)).
% 1.46/1.66 Following clause subsumed by 190 during input processing: 0 [flip.1] {-} c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OSKIP.
% 1.46/1.66 Following clause subsumed by 191 during input processing: 0 [] {-} -class_Orderings_Owellorder(A)| -hBOOL(hAPP(B,C))|hBOOL(hAPP(B,c_Orderings_Oord__class_OLeast(A,B))).
% 1.46/1.66 Following clause subsumed by 185 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSemi(A,B)),C),D))| -hBOOL(hAPP(hAPP(c_Natural_Oevalc(A),C),E))| -hBOOL(hAPP(hAPP(c_Natural_Oevalc(B),E),D)).
% 1.46/1.66 Following clause subsumed by 196 during input processing: 0 [flip.1] {-} hAPP(c_Com_Ocom_OBODY,A)!=c_Com_Ocom_OSKIP.
% 1.46/1.66 Following clause subsumed by 199 during input processing: 0 [] {-} hAPP(c_Nat_OSuc,A)!=A.
% 1.46/1.66 Following clause subsumed by 200 during input processing: 0 [] {-} hAPP(c_Nat_OSuc,A)!=hAPP(c_Nat_OSuc,B)|A=B.
% 1.46/1.66 Following clause subsumed by 203 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).
% 1.46/1.66 Following clause subsumed by 204 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),A),hAPP(c_Nat_OSuc,B)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),A),B)).
% 1.46/1.66 Following clause subsumed by 211 during input processing: 0 [] {-} c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,A),B,hAPP(c_Nat_OSuc,C),D)| -c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,A)),B,C,D).
% 1.46/1.66 Following clause subsumed by 138 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)).
% 1.46/1.66 Following clause subsumed by 139 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)).
% 1.46/1.66 Following clause subsumed by 215 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)).
% 1.46/1.66 Following clause subsumed by 149 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)).
% 1.46/1.67 Following clause subsumed by 234 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)).
% 1.46/1.67 Following clause subsumed by 224 during input processing: 0 [] {-} c_Natural_Oevaln(c_Com_Ocom_OWhile(A,B),C,D,E)| -hBOOL(hAPP(A,C))| -c_Natural_Oevaln(B,C,D,F)| -c_Natural_Oevaln(c_Com_Ocom_OWhile(A,B),F,D,E).
% 1.46/1.67 Following clause subsumed by 221 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)).
% 1.46/1.67 Following clause subsumed by 222 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)).
% 1.46/1.67 Following clause subsumed by 220 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)).
% 1.46/1.67 Following clause subsumed by 221 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)).
% 1.46/1.67 Following clause subsumed by 222 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)).
% 1.46/1.67 Following clause subsumed by 252 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Natural_Oevalc(A),B),C))| -c_Natural_Oevaln(A,B,D,C).
% 1.46/1.67 Following clause subsumed by 254 during input processing: 0 [] {-} hAPP(c_Nat_OSuc,A)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 1.46/1.67 Following clause subsumed by 254 during input processing: 0 [] {-} hAPP(c_Nat_OSuc,A)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 1.46/1.67 Following clause subsumed by 255 during input processing: 0 [] {-} c_Groups_Ozero__class_Ozero(tc_Nat_Onat)!=hAPP(c_Nat_OSuc,A).
% 1.46/1.67 Following clause subsumed by 255 during input processing: 0 [] {-} c_Groups_Ozero__class_Ozero(tc_Nat_Onat)!=hAPP(c_Nat_OSuc,A).
% 1.46/1.67 Following clause subsumed by 226 during input processing: 0 [] {-} c_Natural_Oevaln(c_Com_Ocom_OSemi(A,B),C,D,E)| -c_Natural_Oevaln(A,C,D,F)| -c_Natural_Oevaln(B,F,D,E).
% 1.46/1.67 Following clause subsumed by 258 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)).
% 1.46/1.67 Following clause subsumed by 223 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)).
% 1.46/1.67 Following clause subsumed by 225 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(A,B)),C),D))| -hBOOL(hAPP(A,C))| -hBOOL(hAPP(hAPP(c_Natural_Oevalc(B),C),E))| -hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(A,B)),E),D)).
% 1.46/1.67 Following clause subsumed by 274 during input processing: 0 [] {-} c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OSKIP.
% 1.46/1.67 Following clause subsumed by 277 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).
% 1.46/1.67 Following clause subsumed by 214 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(A),B),C))|hAPP(c_Fun_Ooverride__on(A,D,E,F,C),B)=hAPP(F,B).
% 1.46/1.67 Following clause subsumed by 310 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)).
% 1.46/1.67 Following clause subsumed by 336 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.
% 1.46/1.67 Following clause subsumed by 337 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),C))|B!=C.
% 1.46/1.67 Following clause subsumed by 336 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)).
% 1.46/1.67 Following clause subsumed by 336 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.
% 1.46/1.67 Following clause subsumed by 337 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.
% 1.46/1.67 Following clause subsumed by 336 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)).
% 1.46/1.67 Following clause subsumed by 341 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)).
% 1.46/1.67 Following clause subsumed by 340 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),C))|B!=C.
% 1.46/1.67 Following clause subsumed by 341 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)).
% 1.46/1.67 Following clause subsumed by 341 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)).
% 1.46/1.67 Following clause subsumed by 336 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)).
% 1.46/1.67 Following clause subsumed by 352 during input processing: 0 [] {-} hAPP(A,B)!=C|c_Fun_Ofun__upd(D,E,A,B,C)=A.
% 1.46/1.67 Following clause subsumed by 353 during input processing: 0 [] {-} A!=B|hAPP(c_Fun_Ofun__upd(C,D,E,B,F),A)=F.
% 1.46/1.67 Following clause subsumed by 357 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)).
% 1.46/1.67 Following clause subsumed by 358 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)).
% 1.46/1.67 Following clause subsumed by 357 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)).
% 1.46/1.67 Following clause subsumed by 340 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),C))|B!=C.
% 1.46/1.67 Following clause subsumed by 360 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.
% 1.46/1.67 Following clause subsumed by 359 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)).
% 1.46/1.67 Following clause subsumed by 28 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),C))|B!=C.
% 1.46/1.67 Following clause subsumed by 357 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)).
% 1.46/1.67 Following clause subsumed by 357 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)).
% 1.46/1.67 Following clause subsumed by 360 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)).
% 1.46/1.67 Following clause subsumed by 358 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)).
% 1.46/1.67 Following clause subsumed by 361 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)).
% 1.46/1.67 Following clause subsumed by 364 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.
% 1.46/1.67 Following clause subsumed by 337 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.
% 1.46/1.67 Following clause subsumed by 360 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.
% 1.46/1.67 Following clause subsumed by 360 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)).
% 1.46/1.67 Following clause subsumed by 366 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)).
% 1.46/1.67 Following clause subsumed by 379 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool)),B),C))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(A,tc_HOL_Obool)),B),C))|B=C.
% 1.46/1.67 Following clause subsumed by 377 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)).
% 1.46/1.67 Following clause subsumed by 39 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool)),B),C))|B!=C.
% 1.46/1.67 Following clause subsumed by 377 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)).
% 1.46/1.67 Following clause subsumed by 426 during input processing: 0 [] {-} -class_Enum_Oenum(A)| -hBOOL(hAPP(B,C))|hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(A),B)).
% 1.46/1.67 Following clause subsumed by 421 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).
% 1.46/1.67 Following clause subsumed by 421 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.
% 1.46/1.67 Following clause subsumed by 421 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.
% 1.46/1.67 Following clause subsumed by 418 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 1.46/1.67 Following clause subsumed by 435 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)).
% 1.46/1.67 Following clause subsumed by 418 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 1.46/1.67 Following clause subsumed by 419 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)).
% 1.46/1.68 Following clause subsumed by 437 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.
% 1.46/1.68 Following clause subsumed by 439 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.
% 1.46/1.68 Following clause subsumed by 438 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))).
% 1.46/1.68 Following clause subsumed by 437 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.
% 1.46/1.68 Following clause subsumed by 440 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)).
% 1.46/1.68 Following clause subsumed by 231 during input processing: 0 [] {-} A!=B|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),A),B)).
% 1.46/1.68 Following clause subsumed by 445 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)).
% 1.46/1.68 Following clause subsumed by 446 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.
% 1.46/1.68 Following clause subsumed by 445 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)).
% 1.46/1.68 Following clause subsumed by 231 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),A),B))|A!=B.
% 1.46/1.68 Following clause subsumed by 445 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)).
% 1.46/1.68 Following clause subsumed by 446 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.
% 1.46/1.68 Following clause subsumed by 454 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).
% 1.46/1.68 Following clause subsumed by 465 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).
% 1.46/1.68 Following clause subsumed by 439 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.
% 1.46/1.68 Following clause subsumed by 471 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)).
% 1.46/1.68 Following clause subsumed by 473 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)).
% 1.46/1.68 Following clause subsumed by 474 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),hAPP(c_Nat_OSuc,B)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),A),B)).
% 1.46/1.68 Following clause subsumed by 473 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)).
% 1.46/1.68 Following clause subsumed by 471 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)).
% 1.46/1.68 Following clause subsumed by 447 during input processing: 0 [] {-} A!=B| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),B)).
% 1.46/1.68 Following clause subsumed by 515 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),A)).
% 1.46/1.68 Following clause subsumed by 516 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),B))|B!=A.
% 1.46/1.68 Following clause subsumed by 447 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),B))|A!=B.
% 1.46/1.68 Following clause subsumed by 517 during input processing: 0 [] {-} -class_Lattices_Osemilattice__inf(A)|hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(A),B),B)=B.
% 1.46/1.68 Following clause subsumed by 519 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).
% 1.46/1.68 Following clause subsumed by 521 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).
% 1.46/1.68 Following clause subsumed by 523 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)).
% 1.46/1.68 Following clause subsumed by 525 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)).
% 1.46/1.68 Following clause subsumed by 518 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)).
% 1.46/1.68 Following clause subsumed by 510 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)).
% 1.46/1.68 Following clause subsumed by 511 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)).
% 1.46/1.68 Following clause subsumed by 532 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.
% 1.46/1.68 Following clause subsumed by 536 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))).
% 1.46/1.68 Following clause subsumed by 536 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))).
% 1.46/1.68 Following clause subsumed by 534 during input processing: 0 [] {-} -class_Lattices_Osemilattice__inf(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(A),C),D)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),C)).
% 1.51/1.68 Following clause subsumed by 535 during input processing: 0 [] {-} -class_Lattices_Osemilattice__inf(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(A),C),D)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),D)).
% 1.51/1.68 Following clause subsumed by 513 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(A),B),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(A,tc_HOL_Obool)),C),D)))|hBOOL(hAPP(hAPP(c_member(A),B),C)).
% 1.51/1.68 Following clause subsumed by 514 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(A),B),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(A,tc_HOL_Obool)),C),D)))|hBOOL(hAPP(hAPP(c_member(A),B),D)).
% 1.51/1.68 Following clause subsumed by 512 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_member(A),B),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(A,tc_HOL_Obool)),C),D)))| -hBOOL(hAPP(hAPP(c_member(A),B),C))| -hBOOL(hAPP(hAPP(c_member(A),B),D)).
% 1.51/1.68 Following clause subsumed by 513 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(A),B),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(A,tc_HOL_Obool)),C),D)))|hBOOL(hAPP(hAPP(c_member(A),B),C)).
% 1.51/1.68 Following clause subsumed by 514 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(A),B),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(A,tc_HOL_Obool)),C),D)))|hBOOL(hAPP(hAPP(c_member(A),B),D)).
% 1.51/1.68 Following clause subsumed by 564 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(A),B),C))|hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(A,tc_HOL_Obool)),C),hAPP(hAPP(c_Set_Oinsert(A),B),D))=hAPP(hAPP(c_Set_Oinsert(A),B),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(A,tc_HOL_Obool)),C),D)).
% 1.51/1.68 Following clause subsumed by 565 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(A),B),C))|hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(A,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(A),B),D)),C)=hAPP(hAPP(c_Set_Oinsert(A),B),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(A,tc_HOL_Obool)),D),C)).
% 1.51/1.68 Following clause subsumed by 570 during input processing: 0 [] {-} -class_Groups_Ocomm__monoid__add(A)|hBOOL(hAPP(c_Finite__Set_Ofinite(B),C))|hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(B,A),D),C)=c_Groups_Ozero__class_Ozero(A).
% 1.51/1.68 Following clause subsumed by 599 during input processing: 0 [] {-} -class_Finite__Set_Ofinite(A)|hBOOL(hAPP(c_Finite__Set_Ofinite(A),B)).
% 1.51/1.68 Following clause subsumed by 593 during input processing: 0 [] {-} hBOOL(hAPP(c_Finite__Set_Ofinite(A),hAPP(hAPP(c_Set_Oinsert(A),B),C)))| -hBOOL(hAPP(c_Finite__Set_Ofinite(A),C)).
% 1.51/1.68 Following clause subsumed by 601 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)).
% 1.51/1.68 Following clause subsumed by 602 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)).
% 1.51/1.68 Following clause subsumed by 589 during input processing: 0 [] {-} -hBOOL(hAPP(c_Finite__Set_Ofinite(A),B))|hBOOL(hAPP(c_Finite__Set_Ofinite(A),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool)),C),B)))| -hBOOL(hAPP(c_Finite__Set_Ofinite(A),C)).
% 1.51/1.68 Following clause subsumed by 445 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),B))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),A),B)).
% 1.51/1.68 Following clause subsumed by 655 during input processing: 0 [] {-} -class_Lattices_Olattice(A)| -hBOOL(hAPP(c_Finite__Set_Ofinite(A),B))|hBOOL(hAPP(hAPP(c_member(A),C),B))|B=c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool))|c_Big__Operators_Olattice__class_OSup__fin(A,hAPP(hAPP(c_Set_Oinsert(A),C),B))=hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(A),C),c_Big__Operators_Olattice__class_OSup__fin(A,B)).
% 1.51/1.69 Following clause subsumed by 656 during input processing: 0 [] {-} -class_Lattices_Olattice(A)| -hBOOL(hAPP(c_Finite__Set_Ofinite(A),B))|hBOOL(hAPP(hAPP(c_member(A),C),B))|B=c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool))|c_Big__Operators_Olattice__class_OInf__fin(A,hAPP(hAPP(c_Set_Oinsert(A),C),B))=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(A),C),c_Big__Operators_Olattice__class_OInf__fin(A,B)).
% 1.51/1.69 Following clause subsumed by 659 during input processing: 0 [] {-} -class_Lattices_Olattice(A)| -hBOOL(hAPP(c_Finite__Set_Ofinite(A),B))|B=c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool))| -hBOOL(hAPP(c_Finite__Set_Ofinite(A),C))|C=c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool))|hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(A,tc_HOL_Obool)),B),C)!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool))|c_Big__Operators_Olattice__class_OSup__fin(A,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool)),B),C))=hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(A),c_Big__Operators_Olattice__class_OSup__fin(A,B)),c_Big__Operators_Olattice__class_OSup__fin(A,C)).
% 1.51/1.69 Following clause subsumed by 660 during input processing: 0 [] {-} -class_Lattices_Olattice(A)| -hBOOL(hAPP(c_Finite__Set_Ofinite(A),B))|B=c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool))| -hBOOL(hAPP(c_Finite__Set_Ofinite(A),C))|C=c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool))|hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(A,tc_HOL_Obool)),B),C)!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool))|c_Big__Operators_Olattice__class_OInf__fin(A,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool)),B),C))=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(A),c_Big__Operators_Olattice__class_OInf__fin(A,B)),c_Big__Operators_Olattice__class_OInf__fin(A,C)).
% 1.51/1.69 Following clause subsumed by 686 during input processing: 0 [flip.4] {-} -class_Groups_Ocomm__monoid__add(A)| -hBOOL(hAPP(c_Finite__Set_Ofinite(B),C))| -hBOOL(hAPP(hAPP(c_member(B),D),C))|hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),hAPP(E,D)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(B,A),E),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(B,tc_HOL_Obool)),C),hAPP(hAPP(c_Set_Oinsert(B),D),c_Orderings_Obot__class_Obot(tc_fun(B,tc_HOL_Obool))))))=hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(B,A),E),C).
% 1.51/1.69 Following clause subsumed by 696 during input processing: 0 [] {-} -class_Groups_Ocancel__semigroup__add(A)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),C)!=hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),D),C)|B=D.
% 1.51/1.69 Following clause subsumed by 698 during input processing: 0 [] {-} -class_Groups_Ocancel__semigroup__add(A)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),C)!=hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),D)|C=D.
% 1.51/1.69 Following clause subsumed by 704 during input processing: 0 [] {-} -class_Groups_Oordered__ab__semigroup__add__imp__le(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),C)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),D)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),C),D)).
% 1.51/1.69 Following clause subsumed by 705 during input processing: 0 [] {-} -class_Groups_Oordered__ab__semigroup__add__imp__le(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),C)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),D),C)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),D)).
% 1.51/1.69 Following clause subsumed by 717 during input processing: 0 [] {-} -class_Groups_Oordered__ab__semigroup__add__imp__le(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),C)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),D)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),C),D)).
% 1.51/1.69 Following clause subsumed by 718 during input processing: 0 [] {-} -class_Groups_Oordered__ab__semigroup__add__imp__le(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),C)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),D),C)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),D)).
% 1.51/1.69 Following clause subsumed by 730 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),B))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),C),B))).
% 1.51/1.69 Following clause subsumed by 731 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),B))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B),C))).
% 1.51/1.69 Following clause subsumed by 742 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),A),B)),C))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),A),C)).
% 1.51/1.69 Following clause subsumed by 743 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),A),B)),C))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B),C)).
% 1.51/1.69 Following clause subsumed by 741 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),A),B))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),C),B))).
% 1.51/1.69 Following clause subsumed by 740 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),A),B))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B),C))).
% 1.51/1.69 Following clause subsumed by 752 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)).
% 1.51/1.69 Following clause subsumed by 754 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).
% 1.51/1.69 Following clause subsumed by 570 during input processing: 0 [] {-} -class_Groups_Ocomm__monoid__add(A)|hBOOL(hAPP(c_Finite__Set_Ofinite(B),C))|hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(B,A),D),C)=c_Groups_Ozero__class_Ozero(A).
% 1.51/1.69 Following clause subsumed by 731 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),A),B)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),A)).
% 1.51/1.69 Following clause subsumed by 730 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),A),B)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B)).
% 1.51/1.69 Following clause subsumed by 799 during input processing: 0 [flip.2] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),A),B))|hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),C),B)),A)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),C),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),B),A)).
% 1.51/1.69 Following clause subsumed by 755 during input processing: 0 [] {-} -class_Groups_Ocomm__monoid__add(A)| -hBOOL(hAPP(c_Finite__Set_Ofinite(B),C))|hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(B,A),hAPP(hAPP(c_COMBS(B,A,A),hAPP(hAPP(c_COMBB(A,tc_fun(A,A),B),c_Groups_Oplus__class_Oplus(A)),D)),E)),C)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(B,A),D),C)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(B,A),E),C)).
% 1.51/1.70 Following clause subsumed by 778 during input processing: 0 [] {-} -hBOOL(hAPP(c_Finite__Set_Ofinite(A),B))| -c_Fun_Oinj__on(A,C,D,B)|hAPP(c_Finite__Set_Ocard(C),hAPP(c_Set_Oimage(A,C,D),B))=hAPP(c_Finite__Set_Ocard(A),B).
% 1.51/1.70 Following clause subsumed by 824 during input processing: 0 [] {-} -hBOOL(hAPP(c_Finite__Set_Ofinite(A),B))|c_Fun_Oinj__on(A,C,D,B)|hAPP(c_Finite__Set_Ocard(C),hAPP(c_Set_Oimage(A,C,D),B))!=hAPP(c_Finite__Set_Ocard(A),B).
% 1.51/1.70 Following clause subsumed by 827 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))).
% 1.51/1.70 Following clause subsumed by 828 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)).
% 1.51/1.70 Following clause subsumed by 840 during input processing: 0 [] {-} -hBOOL(hAPP(c_Finite__Set_Ofinite(A),B))|hBOOL(hAPP(hAPP(c_member(A),C),B))|hAPP(c_Finite__Set_Ocard(A),hAPP(hAPP(c_Set_Oinsert(A),C),B))=hAPP(c_Nat_OSuc,hAPP(c_Finite__Set_Ocard(A),B)).
% 1.51/1.70 Following clause subsumed by 813 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)).
% 1.51/1.70 Following clause subsumed by 848 during input processing: 0 [] {-} -class_Groups_Ocomm__monoid__add(A)| -hBOOL(hAPP(c_Finite__Set_Ofinite(B),C))|hBOOL(hAPP(hAPP(c_member(B),D),C))|hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(B,A),E),hAPP(hAPP(c_Set_Oinsert(B),D),C))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),hAPP(E,D)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(B,A),E),C)).
% 1.51/1.70 Following clause subsumed by 853 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))).
% 1.51/1.70 Following clause subsumed by 876 during input processing: 0 [] {-} -hBOOL(hAPP(c_Finite__Set_Ofinite(A),B))| -hBOOL(hAPP(hAPP(c_member(A),C),B))|hAPP(c_Finite__Set_Ocard(A),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool)),B),hAPP(hAPP(c_Set_Oinsert(A),C),c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool)))))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(A),B)),c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 1.51/1.70 Following clause subsumed by 883 during input processing: 0 [] {-} -class_Rings_Ozero__neq__one(A)|c_Groups_Ozero__class_Ozero(A)!=c_Groups_Oone__class_Oone(A).
% 1.51/1.70 Following clause subsumed by 891 during input processing: 0 [] {-} -hBOOL(hAPP(c_Finite__Set_Ofinite(A),B))|hAPP(c_Finite__Set_Ocard(A),B)=hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(tc_Nat_Onat,A,c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),hAPP(c_COMBK(tc_Nat_Onat,A),c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B).
% 1.51/1.70 Following clause subsumed by 907 during input processing: 0 [flip.2] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),A))|hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),A),c_Groups_Oone__class_Oone(tc_Nat_Onat)))=A.
% 1.51/1.70 Following clause subsumed by 864 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.
% 1.51/1.70 Following clause subsumed by 947 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)).
% 1.51/1.70 Following clause subsumed by 946 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)).
% 1.51/1.70 Following clause subsumed by 948 during input processing: 0 [] {-} hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(A,B)),c_Sum__Type_OPlus(A,B,C,D)))| -hBOOL(hAPP(c_Finite__Set_Ofinite(A),C))| -hBOOL(hAPP(c_Finite__Set_Ofinite(B),D)).
% 1.51/1.70 Following clause subsumed by 955 during input processing: 0 [flip.2] {-} -class_Rings_Ocomm__semiring__1(A)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),C)),D)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),C),D)).
% 1.51/1.70 Following clause subsumed by 945 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)).
% 1.51/1.70 Following clause subsumed by 977 during input processing: 0 [flip.2] {-} -class_Rings_Ocomm__semiring__1(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)),D)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),D)).
% 1.51/1.70 Following clause subsumed by 981 during input processing: 0 [] {-} -class_Lattices_Oab__semigroup__idem__mult(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),B)=B.
% 1.51/1.70 Following clause subsumed by 983 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).
% 1.51/1.70 Following clause subsumed by 996 during input processing: 0 [] {-} -class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(A)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),E))!=hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),E)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),C))|B=D|C=E.
% 1.51/1.70 Following clause subsumed by 997 during input processing: 0 [] {-} -class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(A)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),E))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),E)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),C))|B!=D.
% 1.51/1.70 Following clause subsumed by 998 during input processing: 0 [] {-} -class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(A)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),E))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),E)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),C))|C!=E.
% 1.51/1.70 Following clause subsumed by 1011 during input processing: 0 [] {-} hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,A)),B)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,A)),C)|B!=C.
% 1.51/1.70 Following clause subsumed by 1020 during input processing: 0 [flip.1] {-} hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B)!=c_Groups_Oone__class_Oone(tc_Nat_Onat)|A=c_Groups_Oone__class_Oone(tc_Nat_Onat).
% 1.51/1.70 Following clause subsumed by 1021 during input processing: 0 [flip.1] {-} hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B)!=c_Groups_Oone__class_Oone(tc_Nat_Onat)|B=c_Groups_Oone__class_Oone(tc_Nat_Onat).
% 1.51/1.70 Following clause subsumed by 1022 during input processing: 0 [flip.1] {-} hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B)=c_Groups_Oone__class_Oone(tc_Nat_Onat)|A!=c_Groups_Oone__class_Oone(tc_Nat_Onat)|B!=c_Groups_Oone__class_Oone(tc_Nat_Onat).
% 1.51/1.71 Following clause subsumed by 1046 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))).
% 1.51/1.71 Following clause subsumed by 1047 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))).
% 1.51/1.71 Following clause subsumed by 1045 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))).
% 1.51/1.71 Following clause subsumed by 1046 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))).
% 1.51/1.71 Following clause subsumed by 1067 during input processing: 0 [] {-} -class_Rings_Olinordered__ring__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),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),D)).
% 1.51/1.71 Following clause subsumed by 1068 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)).
% 1.51/1.71 Following clause subsumed by 1072 during input processing: 0 [] {-} -class_Rings_Olinordered__semiring__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),c_Groups_Ozero__class_Ozero(A)),C))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)),c_Groups_Ozero__class_Ozero(A))).
% 1.51/1.71 Following clause subsumed by 1062 during input processing: 0 [] {-} -class_Rings_Olinordered__ring__strict(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),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(hAPP(c_Groups_Otimes__class_Otimes(A),C),D)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D))).
% 1.51/1.71 Following clause subsumed by 1068 during input processing: 0 [] {-} -class_Rings_Olinordered__ring__strict(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),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(hAPP(c_Groups_Otimes__class_Otimes(A),D),C)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),B))).
% 1.51/1.71 Following clause subsumed by 1099 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),C),B)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),C)).
% 1.51/1.71 Following clause subsumed by 1098 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),C)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),A))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B),C)).
% 1.51/1.71 Following clause subsumed by 1103 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,A)),B)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,A)),C)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B),C)).
% 1.51/1.71 Following clause subsumed by 1018 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)).
% 1.51/1.71 Following clause subsumed by 1019 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)).
% 1.51/1.71 Following clause subsumed by 1018 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)).
% 1.51/1.71 Following clause subsumed by 1014 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).
% 1.51/1.71 Following clause subsumed by 1010 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.
% 1.51/1.71 Following clause subsumed by 1012 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).
% 1.51/1.71 Following clause subsumed by 1011 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.
% 1.51/1.71 Following clause subsumed by 1011 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.
% 1.51/1.71 Following clause subsumed by 1103 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)).
% 1.51/1.71 Following clause subsumed by 1098 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)).
% 1.51/1.71 Following clause subsumed by 1168 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)).
% 1.51/1.73 Following clause subsumed by 1018 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)).
% 1.51/1.73 Following clause subsumed by 1235 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.
% 1.51/1.73 Following clause subsumed by 1236 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.
% 1.51/1.73 Following clause subsumed by 1253 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))).
% 1.51/1.73 Following clause subsumed by 1257 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)).
% 1.51/1.73 Following clause subsumed by 1258 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)).
% 1.51/1.73 Following clause subsumed by 1353 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)).
% 1.51/1.73 Following clause subsumed by 592 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))).
% 1.51/1.73 Following clause subsumed by 1231 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)).
% 1.51/1.73 Following clause subsumed by 1232 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)).
% 1.51/1.73 Following clause subsumed by 1229 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)).
% 1.51/1.73 Following clause subsumed by 1230 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)).
% 1.51/1.73 Following clause subsumed by 154 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))).
% 1.51/1.74 Following clause subsumed by 1341 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.
% 1.51/1.74 Following clause subsumed by 1342 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.
% 1.51/1.74 Following clause subsumed by 74 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))).
% 1.51/1.74 Following clause subsumed by 1479 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.
% 1.51/1.74 Following clause subsumed by 1480 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.
% 1.51/1.74 Following clause subsumed by 1487 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),A),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|hAPP(c_Int_Onat,A)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 1.51/1.74 Following clause subsumed by 1489 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)).
% 1.51/1.74 Following clause subsumed by 1494 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.
% 1.51/1.74 Following clause subsumed by 1491 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)).
% 1.51/1.74 Following clause subsumed by 1491 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)).
% 1.51/1.74 Following clause subsumed by 1504 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)).
% 1.51/1.74 Following clause subsumed by 1526 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)).
% 1.58/1.76 Following clause subsumed by 1528 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)).
% 1.58/1.76 Following clause subsumed by 1470 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).
% 1.58/1.76 Following clause subsumed by 154 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))).
% 1.58/1.76 Following clause subsumed by 1557 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)).
% 1.58/1.76 Following clause subsumed by 592 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))).
% 1.58/1.76 Following clause subsumed by 74 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))).
% 1.58/1.76 Following clause subsumed by 1698 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)).
% 1.58/1.76 Following clause subsumed by 1694 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_member(A),B),hAPP(c_Set_OCollect(A),C)))| -hBOOL(hAPP(C,B)).
% 1.58/1.76 Following clause subsumed by 1699 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(A),B),hAPP(c_Set_OCollect(A),C)))|hBOOL(hAPP(C,B)).
% 1.58/1.76 Following clause subsumed by 1699 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(A),B),hAPP(c_Set_OCollect(A),C)))|hBOOL(hAPP(C,B)).
% 1.58/1.76 Following clause subsumed by 513 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)).
% 1.58/1.76 Following clause subsumed by 1708 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))).
% 1.58/1.76 Following clause subsumed by 1743 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)).
% 1.58/1.76 Following clause subsumed by 599 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)))).
% 1.58/1.76 Following clause subsumed by 1757 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.
% 1.58/1.76 Following clause subsumed by 1772 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,$f179(D,C,B,A,E))=D.
% 1.58/1.76 Following clause subsumed by 1772 during input processing: 0 [] {-} -c_Fun_Oinj__on(A,B,C,c_Orderings_Otop__class_Otop(tc_fun(A,tc_HOL_Obool)))|hBOOL(hAPP(hAPP(c_member(B),D),hAPP(c_Set_Oimage(A,B,C),c_Orderings_Otop__class_Otop(tc_fun(A,tc_HOL_Obool)))))|D!=hAPP(C,E)|$f179(D,C,B,A,E)!=E.
% 1.58/1.76 Following clause subsumed by 154 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)).
% 1.58/1.76 Following clause subsumed by 74 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)).
% 1.58/1.76 Following clause subsumed by 1800 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))).
% 1.58/1.76 Following clause subsumed by 1847 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).
% 1.58/1.76 Following clause subsumed by 1848 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).
% 1.58/1.76 Following clause subsumed by 1849 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)).
% 1.58/1.76 Following clause subsumed by 1850 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)).
% 1.58/1.76 Following clause subsumed by 1846 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hAPP(hAPP(c_Orderings_Oord__class_Omin(A),B),B)=B.
% 1.58/1.76 Following clause subsumed by 1861 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),C))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(hAPP(c_Orderings_Oord__class_Omin(A),B),D)),C)).
% 1.58/1.76 Following clause subsumed by 1862 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),C))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(hAPP(c_Orderings_Oord__class_Omin(A),D),B)),C)).
% 1.58/1.76 Following clause subsumed by 1855 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.
% 1.58/1.76 Following clause subsumed by 1859 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))).
% 1.58/1.76 Following clause subsumed by 1859 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))).
% 1.58/1.76 Following clause subsumed by 1857 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)).
% 1.58/1.76 Following clause subsumed by 1858 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),hAPP(hAPP(c_Orderings_Oord__class_Omin(A),C),D)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),D)).
% 1.60/1.78 Following clause subsumed by 1869 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),C))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(hAPP(c_Orderings_Oord__class_Omin(A),B),D)),C)).
% 1.60/1.78 Following clause subsumed by 1870 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),C))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(hAPP(c_Orderings_Oord__class_Omin(A),D),B)),C)).
% 1.60/1.78 Following clause subsumed by 1873 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)).
% 1.60/1.78 Following clause subsumed by 1874 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(A),hAPP(B,C)),D))|hBOOL(hAPP(hAPP(c_member(E),C),hAPP(c_Set_Ovimage(E,A,B),D))).
% 1.60/1.78 Following clause subsumed by 1907 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)).
% 1.60/1.78 Following clause subsumed by 1910 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)).
% 1.60/1.78 Following clause subsumed by 1795 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),$f197(B,A)),$f196(B,A))),hAPP(hAPP(c_Set_Oinsert(A),$f197(B,A)),hAPP(hAPP(c_Set_Oinsert(A),$f196(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)).
% 1.60/1.78 Following clause subsumed by 1844 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)).
% 1.60/1.78 Following clause subsumed by 1930 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)).
% 1.60/1.78 Following clause subsumed by 1933 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)).
% 1.60/1.78 Following clause subsumed by 1952 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).
% 1.60/1.78 Following clause subsumed by 1953 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).
% 1.60/1.78 Following clause subsumed by 1954 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)).
% 1.60/1.78 Following clause subsumed by 1955 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)).
% 1.60/1.78 Following clause subsumed by 1951 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hAPP(hAPP(c_Orderings_Oord__class_Omax(A),B),B)=B.
% 1.60/1.78 Following clause subsumed by 1957 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)).
% 1.60/1.78 Following clause subsumed by 1956 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)).
% 1.60/1.78 Following clause subsumed by 1965 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)).
% 1.60/1.78 Following clause subsumed by 1962 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)).
% 1.60/1.78 Following clause subsumed by 1963 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)).
% 1.60/1.78 Following clause subsumed by 1965 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)).
% 1.60/1.78 Following clause subsumed by 1969 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)).
% 1.60/1.78 Following clause subsumed by 1968 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)).
% 1.60/1.78 Following clause subsumed by 1967 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),C))|hAPP(hAPP(c_Orderings_Oord__class_Omax(A),B),C)=C.
% 1.60/1.78 Following clause subsumed by 1999 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)).
% 1.60/1.79 Following clause subsumed by 2003 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)).
% 1.60/1.79 Following clause subsumed by 1796 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),$f206(B,A)),$f205(B,A))),hAPP(hAPP(c_Set_Oinsert(A),$f206(B,A)),hAPP(hAPP(c_Set_Oinsert(A),$f205(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)).
% 1.60/1.79 Following clause subsumed by 2019 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)).
% 1.60/1.79 Following clause subsumed by 2023 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)).
% 1.60/1.79 Following clause subsumed by 2059 during input processing: 0 [] {-} -class_Lattices_Oboolean__algebra(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),C))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(c_Groups_Ouminus__class_Ouminus(A),C)),hAPP(c_Groups_Ouminus__class_Ouminus(A),B))).
% 1.60/1.79 Following clause subsumed by 2060 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))).
% 1.60/1.79 Following clause subsumed by 2061 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)).
% 1.60/1.79 Following clause subsumed by 2063 during input processing: 0 [] {-} -class_Groups_Oordered__ab__group__add(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),C))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(c_Groups_Ouminus__class_Ouminus(A),C)),hAPP(c_Groups_Ouminus__class_Ouminus(A),B))).
% 1.60/1.79 Following clause subsumed by 2064 during input processing: 0 [flip.2] {-} -class_Groups_Olinordered__ab__group__add(A)|hAPP(c_Groups_Ouminus__class_Ouminus(A),B)!=B|B=c_Groups_Ozero__class_Ozero(A).
% 1.60/1.79 Following clause subsumed by 2065 during input processing: 0 [flip.2] {-} -class_Groups_Olinordered__ab__group__add(A)|hAPP(c_Groups_Ouminus__class_Ouminus(A),B)=B|B!=c_Groups_Ozero__class_Ozero(A).
% 1.60/1.79 Following clause subsumed by 2071 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))).
% 1.60/1.79 Following clause subsumed by 2072 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)).
% 1.60/1.79 Following clause subsumed by 2085 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 2089 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.
% 1.60/1.79 Following clause subsumed by 2090 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).
% 1.60/1.79 Following clause subsumed by 2093 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)).
% 1.60/1.79 Following clause subsumed by 2093 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)).
% 1.60/1.79 Following clause subsumed by 2109 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))).
% 1.60/1.79 Following clause subsumed by 2048 during input processing: 0 [] {-} -c_Natural_Oevaln(c_Com_Ocom_OCond(A,B,C),D,E,F)|hBOOL(hAPP(A,D))|c_Natural_Oevaln(C,D,E,F).
% 1.60/1.79 Following clause subsumed by 2049 during input processing: 0 [] {-} -c_Natural_Oevaln(c_Com_Ocom_OCond(A,B,C),D,E,F)|c_Natural_Oevaln(B,D,E,F)| -hBOOL(hAPP(A,D)).
% 1.60/1.79 Following clause subsumed by 2050 during input processing: 0 [] {-} -c_Natural_Oevaln(c_Com_Ocom_OCond(A,B,C),D,E,F)|c_Natural_Oevaln(B,D,E,F)|c_Natural_Oevaln(C,D,E,F).
% 1.60/1.79 Following clause subsumed by 2051 during input processing: 0 [] {-} c_Natural_Oevaln(c_Com_Ocom_OCond(A,B,C),D,E,F)| -hBOOL(hAPP(A,D))| -c_Natural_Oevaln(B,D,E,F).
% 1.60/1.79 Following clause subsumed by 2052 during input processing: 0 [] {-} c_Natural_Oevaln(c_Com_Ocom_OCond(A,B,C),D,E,F)|hBOOL(hAPP(A,D))| -c_Natural_Oevaln(C,D,E,F).
% 1.60/1.79 Following clause subsumed by 2048 during input processing: 0 [] {-} -c_Natural_Oevaln(c_Com_Ocom_OCond(A,B,C),D,E,F)|hBOOL(hAPP(A,D))|c_Natural_Oevaln(C,D,E,F).
% 1.60/1.79 Following clause subsumed by 2049 during input processing: 0 [] {-} -c_Natural_Oevaln(c_Com_Ocom_OCond(A,B,C),D,E,F)|c_Natural_Oevaln(B,D,E,F)| -hBOOL(hAPP(A,D)).
% 1.60/1.79 Following clause subsumed by 2050 during input processing: 0 [] {-} -c_Natural_Oevaln(c_Com_Ocom_OCond(A,B,C),D,E,F)|c_Natural_Oevaln(B,D,E,F)|c_Natural_Oevaln(C,D,E,F).
% 1.60/1.79 Following clause subsumed by 2051 during input processing: 0 [] {-} c_Natural_Oevaln(c_Com_Ocom_OCond(A,B,C),D,E,F)| -hBOOL(hAPP(A,D))| -c_Natural_Oevaln(B,D,E,F).
% 1.60/1.79 Following clause subsumed by 2052 during input processing: 0 [] {-} c_Natural_Oevaln(c_Com_Ocom_OCond(A,B,C),D,E,F)|hBOOL(hAPP(A,D))| -c_Natural_Oevaln(C,D,E,F).
% 1.60/1.79 Following clause subsumed by 2055 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(A,B,C)),D),E))|hBOOL(hAPP(A,D))|hBOOL(hAPP(hAPP(c_Natural_Oevalc(C),D),E)).
% 1.60/1.79 Following clause subsumed by 2056 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(A,B,C)),D),E))|hBOOL(hAPP(hAPP(c_Natural_Oevalc(B),D),E))| -hBOOL(hAPP(A,D)).
% 1.60/1.79 Following clause subsumed by 2057 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(A,B,C)),D),E))|hBOOL(hAPP(hAPP(c_Natural_Oevalc(B),D),E))|hBOOL(hAPP(hAPP(c_Natural_Oevalc(C),D),E)).
% 1.60/1.80 Following clause subsumed by 2054 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(A,B,C)),D),E))| -hBOOL(hAPP(A,D))| -hBOOL(hAPP(hAPP(c_Natural_Oevalc(B),D),E)).
% 1.60/1.80 Following clause subsumed by 2053 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(A,B,C)),D),E))|hBOOL(hAPP(A,D))| -hBOOL(hAPP(hAPP(c_Natural_Oevalc(C),D),E)).
% 1.60/1.80 Following clause subsumed by 2055 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(A,B,C)),D),E))|hBOOL(hAPP(A,D))|hBOOL(hAPP(hAPP(c_Natural_Oevalc(C),D),E)).
% 1.60/1.80 Following clause subsumed by 2056 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(A,B,C)),D),E))|hBOOL(hAPP(hAPP(c_Natural_Oevalc(B),D),E))| -hBOOL(hAPP(A,D)).
% 1.60/1.80 Following clause subsumed by 2057 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(A,B,C)),D),E))|hBOOL(hAPP(hAPP(c_Natural_Oevalc(B),D),E))|hBOOL(hAPP(hAPP(c_Natural_Oevalc(C),D),E)).
% 1.60/1.80 Following clause subsumed by 2054 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(A,B,C)),D),E))| -hBOOL(hAPP(A,D))| -hBOOL(hAPP(hAPP(c_Natural_Oevalc(B),D),E)).
% 1.60/1.80 Following clause subsumed by 2053 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(A,B,C)),D),E))|hBOOL(hAPP(A,D))| -hBOOL(hAPP(hAPP(c_Natural_Oevalc(C),D),E)).
% 1.60/1.80 Following clause subsumed by 2123 during input processing: 0 [flip.1] {-} c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OSKIP.
% 1.60/1.80 Following clause subsumed by 2124 during input processing: 0 [] {-} -class_Rings_Ocomm__semiring__1(A)| -class_Rings_Ono__zero__divisors(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_Ozero__class_Ozero(A)| -hBOOL(hAPP(hAPP(c_member(B),E),C))|hAPP(D,E)!=c_Groups_Ozero__class_Ozero(A).
% 1.60/1.80 Following clause subsumed by 2127 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).
% 1.60/1.80 Following clause subsumed by 2128 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).
% 1.60/1.80 Following clause subsumed by 1582 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)).
% 1.60/1.80 Following clause subsumed by 2181 during input processing: 0 [] {-} -class_Groups_Oordered__ab__group__add__abs(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),C))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(c_Groups_Ouminus__class_Ouminus(A),B)),C))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(c_Groups_Oabs__class_Oabs(A),B)),C)).
% 1.60/1.80 Following clause subsumed by 2180 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)).
% 1.60/1.80 Following clause subsumed by 2110 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)).
% 1.60/1.81 Following clause subsumed by 2230 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)).
% 1.60/1.81 Following clause subsumed by 2231 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)).
% 1.60/1.81 Following clause subsumed by 2128 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).
% 1.60/1.81 Following clause subsumed by 2233 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).
% 1.60/1.81 Following clause subsumed by 2240 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)).
% 1.60/1.81 Following clause subsumed by 2268 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)).
% 1.60/1.81 Following clause subsumed by 2273 during input processing: 0 [] {-} -class_Rings_Odivision__ring(A)|B=c_Groups_Ozero__class_Ozero(A)|C!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),B)|hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),C),B)=D.
% 1.60/1.81 Following clause subsumed by 2271 during input processing: 0 [] {-} -class_Rings_Odivision__ring(A)|B=c_Groups_Ozero__class_Ozero(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),B)!=D|C=hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),D),B).
% 1.60/1.81 Following clause subsumed by 2284 during input processing: 0 [] {-} -class_Rings_Ocomm__semiring__1(A)|hAPP(hAPP(c_Power_Opower__class_Opower(A),B),hAPP(c_Nat_OSuc,C))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C)).
% 1.60/1.81 Following clause subsumed by 2313 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)).
% 1.63/1.83 Following clause subsumed by 2362 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)).
% 1.63/1.83 Following clause subsumed by 2363 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))).
% 1.63/1.83 Following clause subsumed by 2480 during input processing: 0 [] {-} -class_Fields_Olinordered__field(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),B))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),B)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),C),B)),D)).
% 1.63/1.83 Following clause subsumed by 2478 during input processing: 0 [] {-} -class_Fields_Olinordered__field(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),B))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),B)),D))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),C),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),D),B))).
% 1.63/1.83 Following clause subsumed by 2393 during input processing: 0 [] {-} -class_Fields_Olinordered__field(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),B))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),B)),D))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),C),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),D),B))).
% 1.63/1.83 Following clause subsumed by 2395 during input processing: 0 [] {-} -class_Fields_Olinordered__field(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),B))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),B)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),C),B)),D)).
% 1.63/1.83 Following clause subsumed by 2518 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),A))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),B),A)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 1.63/1.83 Following clause subsumed by 2523 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).
% 1.63/1.83 Following clause subsumed by 2535 during input processing: 0 [] {-} hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),A),B)=c_Groups_Ozero__class_Ozero(tc_Int_Oint)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),A))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),A),B)).
% 1.63/1.83 Following clause subsumed by 2530 during input processing: 0 [] {-} hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),A),B)=c_Groups_Ozero__class_Ozero(tc_Int_Oint)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),A),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B),A)).
% 1.63/1.83 Following clause subsumed by 2624 during input processing: 0 [] {-} -class_Int_Oring__char__0(A)|hAPP(c_Int_Oring__1__class_Oof__int(A),B)!=c_Groups_Ozero__class_Ozero(A)|B=c_Groups_Ozero__class_Ozero(tc_Int_Oint).
% 1.63/1.83 Following clause subsumed by 2626 during input processing: 0 [] {-} -class_Int_Oring__char__0(A)|hAPP(c_Int_Oring__1__class_Oof__int(A),B)=c_Groups_Ozero__class_Ozero(A)|B!=c_Groups_Ozero__class_Ozero(tc_Int_Oint).
% 1.66/1.85 Following clause subsumed by 2620 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),A))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B),A))|hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),B),A)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 1.66/1.85 Following clause subsumed by 2652 during input processing: 0 [flip.3] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),A))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B),A))|hAPP(c_Nat_OSuc,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),B),A)),A))=hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),B),A).
% 1.66/1.85 Following clause subsumed by 2662 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),A))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B))|hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(c_Int_Onat,A)),hAPP(c_Int_Onat,B))=hAPP(c_Int_Onat,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),A),B)).
% 1.66/1.85 Following clause subsumed by 2656 during input processing: 0 [] {-} hBOOL(hAPP(A,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),B),C)))|C!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)| -hBOOL(hAPP(A,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 1.66/1.85 Following clause subsumed by 2706 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).
% 1.66/1.85 Following clause subsumed by 2717 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).
% 1.66/1.85 Following clause subsumed by 2719 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).
% 1.66/1.85 Following clause subsumed by 2738 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))).
% 1.66/1.85 Following clause subsumed by 2751 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))).
% 1.66/1.85 Following clause subsumed by 2739 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)).
% 1.66/1.85 Following clause subsumed by 2753 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))).
% 1.66/1.85 Following clause subsumed by 2743 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).
% 1.66/1.85 Following clause subsumed by 2744 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).
% 1.66/1.86 Following clause subsumed by 2826 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.
% 1.66/1.86 Following clause subsumed by 2859 during input processing: 0 [flip.3] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),A))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B))|hAPP(c_Int_Onat,c_Divides_Odiv__class_Omod(tc_Int_Oint,A,B))=c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Int_Onat,A),hAPP(c_Int_Onat,B)).
% 1.66/1.86 Following clause subsumed by 2860 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)).
% 1.66/1.86 Following clause subsumed by 2825 during input processing: 0 [] {-} -class_Rings_Olinordered__idom(A)|c_Groups_Osgn__class_Osgn(A,B)=hAPP(c_Groups_Ouminus__class_Ouminus(A),c_Groups_Oone__class_Oone(A))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),c_Groups_Ozero__class_Ozero(A))).
% 1.66/1.86 Following clause subsumed by 907 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).
% 1.66/1.86 Following clause subsumed by 358 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))).
% 1.66/1.86 Following clause subsumed by 357 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))).
% 1.66/1.86 Following clause subsumed by 2919 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)).
% 1.66/1.86 Following clause subsumed by 2923 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)).
% 1.66/1.86 Following clause subsumed by 2929 during input processing: 0 [] {-} -class_Int_Onumber__ring(A)|hAPP(c_Int_Onumber__class_Onumber__of(A),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),B))=hAPP(c_Groups_Ouminus__class_Ouminus(A),hAPP(c_Int_Onumber__class_Onumber__of(A),B)).
% 1.66/1.86 Following clause subsumed by 2438 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)).
% 1.66/1.86 Following clause subsumed by 2439 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).
% 1.66/1.86 Following clause subsumed by 2440 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).
% 1.66/1.86 Following clause subsumed by 2441 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).
% 1.66/1.86 Following clause subsumed by 2442 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).
% 1.66/1.86 Following clause subsumed by 2438 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).
% 1.66/1.86 Following clause subsumed by 2439 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).
% 1.66/1.86 Following clause subsumed by 2440 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).
% 1.66/1.86 Following clause subsumed by 2441 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).
% 1.66/1.86 Following clause subsumed by 2442 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).
% 1.66/1.86 Following clause subsumed by 2443 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.
% 1.66/1.86 Following clause subsumed by 2444 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).
% 1.66/1.86 Following clause subsumed by 2445 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).
% 1.66/1.86 Following clause subsumed by 2446 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).
% 1.66/1.86 Following clause subsumed by 2447 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).
% 1.66/1.86 Following clause subsumed by 2443 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.
% 1.66/1.86 Following clause subsumed by 2444 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).
% 1.66/1.86 Following clause subsumed by 2445 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).
% 1.66/1.86 Following clause subsumed by 2446 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).
% 1.66/1.86 Following clause subsumed by 2447 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).
% 1.66/1.86 Following clause subsumed by 2467 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)))).
% 1.66/1.86 Following clause subsumed by 2468 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)).
% 1.66/1.86 Following clause subsumed by 2469 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)).
% 1.66/1.86 Following clause subsumed by 2470 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)).
% 1.66/1.86 Following clause subsumed by 2471 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))).
% 1.66/1.86 Following clause subsumed by 2472 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)).
% 1.66/1.86 Following clause subsumed by 2473 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))).
% 1.66/1.86 Following clause subsumed by 2474 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)).
% 1.66/1.86 Following clause subsumed by 2475 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))).
% 1.66/1.86 Following clause subsumed by 2476 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)).
% 1.66/1.86 Following clause subsumed by 2467 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))).
% 1.66/1.86 Following clause subsumed by 2468 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)).
% 1.66/1.86 Following clause subsumed by 2469 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))).
% 1.66/1.86 Following clause subsumed by 2470 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))).
% 1.66/1.86 Following clause subsumed by 2471 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))).
% 1.66/1.86 Following clause subsumed by 2472 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))).
% 1.66/1.86 Following clause subsumed by 2473 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)).
% 1.66/1.86 Following clause subsumed by 2474 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))).
% 1.66/1.86 Following clause subsumed by 2475 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))).
% 1.66/1.86 Following clause subsumed by 2476 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))).
% 1.66/1.86 Following clause subsumed by 2457 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)).
% 1.66/1.86 Following clause subsumed by 2458 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))).
% 1.66/1.86 Following clause subsumed by 2459 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))).
% 1.66/1.86 Following clause subsumed by 2460 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))).
% 1.66/1.86 Following clause subsumed by 2461 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))).
% 1.66/1.86 Following clause subsumed by 2462 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))).
% 1.66/1.86 Following clause subsumed by 2463 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)).
% 1.66/1.86 Following clause subsumed by 2464 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))).
% 1.66/1.86 Following clause subsumed by 2465 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))).
% 1.66/1.86 Following clause subsumed by 2466 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))).
% 1.66/1.86 Following clause subsumed by 2457 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)).
% 1.66/1.86 Following clause subsumed by 2458 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)))).
% 1.66/1.86 Following clause subsumed by 2459 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))).
% 1.66/1.86 Following clause subsumed by 2460 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))).
% 1.66/1.87 Following clause subsumed by 2461 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))).
% 1.66/1.87 Following clause subsumed by 2462 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))).
% 1.66/1.87 Following clause subsumed by 2463 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))).
% 1.66/1.87 Following clause subsumed by 2464 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))).
% 1.66/1.87 Following clause subsumed by 2465 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))).
% 1.66/1.87 Following clause subsumed by 2466 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))).
% 1.66/1.87 Following clause subsumed by 2382 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)))).
% 1.66/1.87 Following clause subsumed by 2383 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)).
% 1.66/1.87 Following clause subsumed by 2384 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)).
% 1.66/1.87 Following clause subsumed by 2385 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)).
% 1.66/1.87 Following clause subsumed by 2386 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))).
% 1.66/1.87 Following clause subsumed by 2387 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)).
% 1.66/1.87 Following clause subsumed by 2388 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))).
% 1.66/1.87 Following clause subsumed by 2389 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)).
% 1.66/1.87 Following clause subsumed by 2390 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))).
% 1.66/1.87 Following clause subsumed by 2391 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)).
% 1.66/1.87 Following clause subsumed by 2382 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))).
% 1.66/1.87 Following clause subsumed by 2383 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)).
% 1.66/1.87 Following clause subsumed by 2384 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))).
% 1.66/1.87 Following clause subsumed by 2385 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))).
% 1.66/1.87 Following clause subsumed by 2386 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))).
% 1.66/1.87 Following clause subsumed by 2387 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))).
% 1.66/1.87 Following clause subsumed by 2388 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)).
% 1.66/1.87 Following clause subsumed by 2389 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))).
% 1.66/1.87 Following clause subsumed by 2390 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))).
% 1.66/1.87 Following clause subsumed by 2391 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))).
% 1.66/1.87 Following clause subsumed by 2372 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)).
% 1.66/1.87 Following clause subsumed by 2373 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))).
% 1.66/1.87 Following clause subsumed by 2374 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))).
% 1.66/1.87 Following clause subsumed by 2375 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))).
% 1.66/1.87 Following clause subsumed by 2376 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))).
% 1.66/1.87 Following clause subsumed by 2377 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))).
% 1.66/1.87 Following clause subsumed by 2378 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)).
% 1.66/1.87 Following clause subsumed by 2379 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))).
% 1.66/1.87 Following clause subsumed by 2380 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))).
% 1.66/1.87 Following clause subsumed by 2381 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))).
% 1.66/1.87 Following clause subsumed by 2372 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)).
% 1.66/1.87 Following clause subsumed by 2373 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)))).
% 1.66/1.87 Following clause subsumed by 2374 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))).
% 1.66/1.87 Following clause subsumed by 2375 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))).
% 1.66/1.87 Following clause subsumed by 2376 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))).
% 1.66/1.87 Following clause subsumed by 2377 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))).
% 1.66/1.87 Following clause subsumed by 2378 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))).
% 1.66/1.87 Following clause subsumed by 2379 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))).
% 1.66/1.87 Following clause subsumed by 2380 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))).
% 1.66/1.89 Following clause subsumed by 2381 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))).
% 1.66/1.89 Following clause subsumed by 2946 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)).
% 1.66/1.89 Following clause subsumed by 2947 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)).
% 1.66/1.89 Following clause subsumed by 2954 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)).
% 1.66/1.89 Following clause subsumed by 2955 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)).
% 1.66/1.89 Following clause subsumed by 1495 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)).
% 1.66/1.89 Following clause subsumed by 1496 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))).
% 1.66/1.89 Following clause subsumed by 1497 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))).
% 1.66/1.89 Following clause subsumed by 2983 during input processing: 0 [flip.1] {-} c_Int_OBit1(A)!=c_Int_OPls.
% 1.66/1.89 Following clause subsumed by 2985 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).
% 1.66/1.89 Following clause subsumed by 3004 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).
% 1.66/1.89 Following clause subsumed by 3006 during input processing: 0 [] {-} hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),A)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),A),c_Int_OPls)).
% 1.66/1.89 Following clause subsumed by 3008 during input processing: 0 [] {-} hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),A)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),A),c_Int_OPls)).
% 1.66/1.89 Following clause subsumed by 3016 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.
% 1.66/1.89 Following clause subsumed by 3094 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)).
% 1.66/1.89 Following clause subsumed by 3095 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)).
% 1.66/1.89 Following clause subsumed by 3098 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)).
% 1.66/1.89 Following clause subsumed by 3099 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)).
% 1.66/1.89 Following clause subsumed by 3112 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)).
% 1.66/1.89 Following clause subsumed by 3113 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)).
% 1.66/1.89 Following clause subsumed by 3118 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)).
% 1.66/1.89 Following clause subsumed by 3119 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)).
% 1.66/1.89 Following clause subsumed by 3125 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)).
% 1.66/1.89 Following clause subsumed by 3126 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)).
% 1.66/1.89 Following clause subsumed by 3127 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)).
% 1.66/1.89 Following clause subsumed by 3128 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)).
% 1.66/1.89 Following clause subsumed by 3129 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))).
% 1.66/1.89 Following clause subsumed by 2315 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).
% 1.66/1.89 Following clause subsumed by 3149 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)).
% 1.66/1.89 Following clause subsumed by 3140 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)).
% 1.66/1.91 Following clause subsumed by 2354 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)).
% 1.66/1.91 Following clause subsumed by 3209 during input processing: 0 [] {-} c_Int_OBit0(A)!=c_Int_OMin.
% 1.66/1.91 Following clause subsumed by 3211 during input processing: 0 [] {-} c_Int_OPls!=c_Int_OMin.
% 1.66/1.91 Following clause subsumed by 3238 during input processing: 0 [] {-} -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)).
% 1.66/1.91 Following clause subsumed by 3245 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).
% 1.66/1.91 Following clause subsumed by 2894 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).
% 1.66/1.91 Following clause subsumed by 97 during input processing: 0 [unit_del,3268] {-} -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)))).
% 1.66/1.91 Following clause subsumed by 3275 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(A),B),C))| -hBOOL(hAPP(hAPP(c_member(tc_prod(A,D)),hAPP(hAPP(c_Product__Type_OPair(A,D),B),E)),F))|hBOOL(hAPP(hAPP(c_member(D),E),hAPP(c_Relation_OImage(A,D,F),C))).
% 1.66/1.91 Following clause subsumed by 3309 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))).
% 1.66/1.91 Following clause subsumed by 3268 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(A,tc_fun(B,tc_HOL_Obool))),C),D)).
% 1.66/1.91 Following clause subsumed by 3311 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(A,B),C))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(D,tc_fun(E,tc_HOL_Obool))),A),F))|hBOOL(hAPP(hAPP(F,B),C)).
% 1.66/1.91 Following clause subsumed by 3304 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)).
% 1.66/1.91 Following clause subsumed by 3303 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)).
% 1.66/1.91 Following clause subsumed by 3306 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)).
% 1.66/1.91 Following clause subsumed by 3305 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)).
% 1.66/1.91 Following clause subsumed by 3314 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.
% 1.66/1.91 Following clause subsumed by 3315 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.
% 1.66/1.91 Following clause subsumed by 3329 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)).
% 1.66/1.91 Following clause subsumed by 3329 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).
% 1.66/1.91 Following clause subsumed by 3341 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).
% 1.66/1.91 Following clause subsumed by 3341 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)).
% 1.66/1.91 Following clause subsumed by 3347 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)).
% 1.66/1.91 Following clause subsumed by 3359 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).
% 1.66/1.91 Following clause subsumed by 3357 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)).
% 1.66/1.91 Following clause subsumed by 3358 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).
% 1.66/1.91 Following clause subsumed by 3329 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).
% 1.74/1.92 Following clause subsumed by 3331 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).
% 1.74/1.92 Following clause subsumed by 3341 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).
% 1.74/1.92 Following clause subsumed by 3342 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).
% 1.74/1.92 Following clause subsumed by 3299 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).
% 1.74/1.92 Following clause subsumed by 3300 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)).
% 1.74/1.92 Following clause subsumed by 3301 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)).
% 1.74/1.92 Following clause subsumed by 3388 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)).
% 1.74/1.92 Following clause subsumed by 3388 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)).
% 1.74/1.92 Following clause subsumed by 2840 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.
% 1.74/1.92 Following clause subsumed by 3410 during input processing: 0 [] {-} A=B|hAPP(c_Product__Type_Ofst(C,D),A)!=hAPP(c_Product__Type_Ofst(C,D),B)|hAPP(c_Product__Type_Osnd(C,D),A)!=hAPP(c_Product__Type_Osnd(C,D),B).
% 1.74/1.95 Following clause subsumed by 3448 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.
% 1.74/1.95 Following clause subsumed by 3446 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)))).
% 1.74/1.95 Following clause subsumed by 3451 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)).
% 1.74/1.95 Following clause subsumed by 3446 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)).
% 1.74/1.95 Following clause subsumed by 3515 during input processing: 0 [] {-} A!=B| -hBOOL(hAPP(hAPP(c_member(C),A),D))|hBOOL(hAPP(hAPP(c_member(tc_prod(C,C)),hAPP(hAPP(c_Product__Type_OPair(C,C),A),B)),c_Relation_OId__on(C,D))).
% 1.74/1.95 Following clause subsumed by 3539 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))).
% 1.74/1.95 Following clause subsumed by 3562 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)).
% 1.74/1.95 Following clause subsumed by 3576 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)).
% 1.74/1.95 Following clause subsumed by 3575 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)).
% 1.74/1.95 Following clause subsumed by 3577 during input processing: 0 [] {-} -c_Wellfounded_Owf(A,B)|hBOOL(hAPP(hAPP(c_member(A),C),c_Wellfounded_Oacc(A,B))).
% 1.74/1.95 Following clause subsumed by 3597 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)).
% 1.74/1.95 Following clause subsumed by 3604 during input processing: 0 [] {-} hBOOL(hAPP(c_Predicate_ORangeP(A,B,C),D))| -hBOOL(hAPP(hAPP(C,E),D)).
% 1.74/1.95 Following clause subsumed by 3608 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)).
% 1.74/1.95 Following clause subsumed by 3617 during input processing: 0 [] {-} hBOOL(hAPP(c_Predicate_ODomainP(A,B,C),D))| -hBOOL(hAPP(hAPP(C,D),E)).
% 1.74/1.95 Following clause subsumed by 3631 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))).
% 1.81/1.99 Following clause subsumed by 3630 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)).
% 1.81/1.99 Following clause subsumed by 3630 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)).
% 1.81/1.99 Following clause subsumed by 3631 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))).
% 1.81/1.99 Following clause subsumed by 3618 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_member(tc_prod(A,B)),hAPP(hAPP(c_Product__Type_OPair(A,B),C),D)),hAPP(hAPP(c_Product__Type_OSigma(A,B),E),F)))| -hBOOL(hAPP(hAPP(c_member(A),C),E))| -hBOOL(hAPP(hAPP(c_member(B),D),hAPP(F,C))).
% 1.81/1.99 Following clause subsumed by 3672 during input processing: 0 [] {-} -c_Wellfounded_OwfP(A,B)|hBOOL(hAPP(c_Wellfounded_Oaccp(A,B),C)).
% 1.81/1.99 Following clause subsumed by 3667 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)).
% 1.81/1.99 Following clause subsumed by 3687 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).
% 1.81/1.99 Following clause subsumed by 3690 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).
% 1.81/1.99 Following clause subsumed by 3667 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)).
% 1.81/1.99 Following clause subsumed by 97 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)).
% 1.81/1.99 Following clause subsumed by 3720 during input processing: 0 [] {-} hBOOL(hAPP(A,c_Hilbert__Choice_OEps(B,A)))| -hBOOL(hAPP(A,C)).
% 1.81/1.99 Following clause subsumed by 3723 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)).
% 1.81/1.99 Following clause subsumed by 3720 during input processing: 0 [] {-} -hBOOL(hAPP(A,B))|hBOOL(hAPP(A,c_Hilbert__Choice_OEps(C,A))).
% 1.81/1.99 Following clause subsumed by 3720 during input processing: 0 [] {-} -hBOOL(hAPP(A,B))|hBOOL(hAPP(A,c_Hilbert__Choice_OEps(C,A))).
% 1.81/1.99 Following clause subsumed by 3730 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).
% 1.81/1.99 Following clause subsumed by 3796 during input processing: 0 [flip.1] {-} c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OSKIP.
% 1.81/1.99 Following clause subsumed by 3827 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))).
% 1.81/1.99 Following clause subsumed by 3840 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))).
% 1.81/1.99 Following clause subsumed by 3841 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.
% 1.81/1.99 Following clause subsumed by 3847 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))).
% 1.81/2.01 Following clause subsumed by 3870 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)).
% 1.81/2.01 Following clause subsumed by 3871 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)).
% 1.81/2.01 Following clause subsumed by 3894 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_member(tc_prod(A,A)),B),c_Transitive__Closure_Ortrancl(A,C)))| -hBOOL(hAPP(hAPP(c_member(tc_prod(A,A)),B),hAPP(hAPP(c_Nat_Ocompow(tc_prod(A,A),tc_HOL_Obool),D),C))).
% 1.81/2.01 Following clause subsumed by 3922 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.
% 1.81/2.01 Following clause subsumed by 3969 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).
% 1.81/2.01 Following clause subsumed by 3970 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).
% 1.81/2.01 Following clause subsumed by 3971 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -hBOOL(hAPP(c_Finite__Set_Ofinite(A),B))|hBOOL(hAPP(hAPP(c_member(A),C),B))|c_Big__Operators_Olinorder__class_OMin(A,hAPP(hAPP(c_Set_Oinsert(A),C),B))=hAPP(hAPP(c_Finite__Set_Ofold(A,A,c_Orderings_Oord__class_Omin(A)),C),B).
% 1.81/2.01 Following clause subsumed by 3972 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -hBOOL(hAPP(c_Finite__Set_Ofinite(A),B))|hBOOL(hAPP(hAPP(c_member(A),C),B))|c_Big__Operators_Olinorder__class_OMax(A,hAPP(hAPP(c_Set_Oinsert(A),C),B))=hAPP(hAPP(c_Finite__Set_Ofold(A,A,c_Orderings_Oord__class_Omax(A)),C),B).
% 1.81/2.01 Following clause subsumed by 3973 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).
% 1.81/2.01 Following clause subsumed by 3998 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,tc_fun(B,tc_HOL_Obool)),C),D),E))|hBOOL(hAPP(hAPP(D,F),E))| -hBOOL(hAPP(hAPP(c_member(A),F),C)).
% 1.81/2.01 Following clause subsumed by 3999 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))).
% 1.81/2.01 Following clause subsumed by 4000 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,tc_fun(B,tc_fun(C,tc_HOL_Obool))),D),E),F),G))|hBOOL(hAPP(hAPP(hAPP(E,H),F),G))| -hBOOL(hAPP(hAPP(c_member(A),H),D)).
% 1.81/2.01 Following clause subsumed by 3999 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))).
% 1.81/2.01 Following clause subsumed by 4044 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)).
% 1.88/2.06 Following clause subsumed by 4000 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)).
% 1.88/2.06 Following clause subsumed by 3998 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)).
% 1.88/2.06 Following clause subsumed by 2747 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.
% 1.88/2.06 Following clause subsumed by 4169 during input processing: 0 [flip.1] {-} hAPP(hAPP(c_List_Olist_OCons(B),C),A)!=A.
% 1.88/2.06 Following clause subsumed by 4206 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).
% 1.88/2.06 Following clause subsumed by 4194 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).
% 1.88/2.06 Following clause subsumed by 4155 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).
% 1.88/2.06 Following clause subsumed by 4232 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.
% 1.88/2.06 Following clause subsumed by 4247 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)))).
% 1.88/2.06 Following clause subsumed by 4194 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).
% 1.88/2.06 Following clause subsumed by 4155 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).
% 1.88/2.06 Following clause subsumed by 4270 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))).
% 1.88/2.06 Following clause subsumed by 4269 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))).
% 1.88/2.06 Following clause subsumed by 4269 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))).
% 1.88/2.06 Following clause subsumed by 4319 during input processing: 0 [] {-} -hBOOL(hAPP(c_List_Odistinct(A),B))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),C),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(A)),B)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),D),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(A)),B)))|hAPP(hAPP(c_List_Onth(A),B),C)!=hAPP(hAPP(c_List_Onth(A),B),D)|C=D.
% 1.88/2.06 Following clause subsumed by 4329 during input processing: 0 [] {-} A=B| -hBOOL(hAPP(hAPP(c_member(C),A),hAPP(c_List_Oset(C),c_List_Oremove1(C,B,D))))|hBOOL(hAPP(hAPP(c_member(C),A),hAPP(c_List_Oset(C),D))).
% 1.90/2.09 Following clause subsumed by 4343 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).
% 1.90/2.09 Following clause subsumed by 4363 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)).
% 1.90/2.09 Following clause subsumed by 4363 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).
% 1.90/2.09 Following clause subsumed by 4391 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).
% 1.90/2.09 Following clause subsumed by 4398 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).
% 1.90/2.09 Following clause subsumed by 4419 during input processing: 0 [] {-} hAPP(hAPP(c_List_Oappend(A),B),C)!=B|C=c_List_Olist_ONil(A).
% 1.90/2.09 Following clause subsumed by 4421 during input processing: 0 [] {-} hAPP(hAPP(c_List_Oappend(A),B),C)=B|C!=c_List_Olist_ONil(A).
% 1.90/2.09 Following clause subsumed by 4423 during input processing: 0 [] {-} hAPP(hAPP(c_List_Oappend(A),B),C)!=C|B=c_List_Olist_ONil(A).
% 1.90/2.09 Following clause subsumed by 4425 during input processing: 0 [] {-} hAPP(hAPP(c_List_Oappend(A),B),C)=C|B!=c_List_Olist_ONil(A).
% 1.90/2.09 Following clause subsumed by 4430 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).
% 1.90/2.09 Following clause subsumed by 4462 during input processing: 0 [] {-} hAPP(hAPP(c_List_Odrop(A),B),C)=c_List_Olist_ONil(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(A)),C)),B)).
% 1.90/2.09 Following clause subsumed by 4469 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).
% 1.90/2.09 Following clause subsumed by 4548 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).
% 1.90/2.09 Following clause subsumed by 4549 during input processing: 0 [] {-} A!=c_List_Olist_ONil(B)|c_List_Olast(B,hAPP(hAPP(c_List_Olist_OCons(B),C),A))=C.
% 1.90/2.09 Following clause subsumed by 4574 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.
% 1.90/2.09 Following clause subsumed by 4577 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.
% 1.90/2.11 Following clause subsumed by 4561 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))).
% 1.90/2.11 Following clause subsumed by 4585 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))).
% 1.90/2.11 Following clause subsumed by 4598 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.
% 1.90/2.11 Following clause subsumed by 4599 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.
% 1.90/2.11 Following clause subsumed by 4613 during input processing: 0 [] {-} hAPP(c_Code__Numeral_Onat__of,A)!=hAPP(c_Code__Numeral_Onat__of,B)|A=B.
% 1.90/2.11 Following clause subsumed by 4614 during input processing: 0 [] {-} hAPP(c_Code__Numeral_Onat__of,A)=hAPP(c_Code__Numeral_Onat__of,B)|A!=B.
% 1.90/2.11 Following clause subsumed by 4641 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).
% 1.90/2.11 Following clause subsumed by 4641 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).
% 1.90/2.11 Following clause subsumed by 4666 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))).
% 1.90/2.11 Following clause subsumed by 4155 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.
% 1.90/2.11 Following clause subsumed by 4682 during input processing: 0 [] {-} c_List_Oremdups(A,B)=B| -hBOOL(hAPP(c_List_Odistinct(A),B)).
% 1.90/2.11 Following clause subsumed by 4727 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)).
% 1.90/2.11 Following clause subsumed by 4730 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).
% 1.90/2.11 Following clause subsumed by 4732 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)).
% 1.90/2.11 Following clause subsumed by 4730 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)).
% 1.90/2.11 Following clause subsumed by 4751 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_List_Olinorder__class_Osorted(A,c_List_Olist_ONil(A)).
% 1.94/2.15 Following clause subsumed by 4762 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))).
% 1.94/2.15 Following clause subsumed by 4776 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)).
% 1.94/2.15 Following clause subsumed by 4775 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).
% 1.94/2.15 Following clause subsumed by 4792 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -c_List_Olinorder__class_Osorted(A,B)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),C),D))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),D),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(A)),B)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(hAPP(c_List_Onth(A),B),C)),hAPP(hAPP(c_List_Onth(A),B),D))).
% 1.94/2.15 Following clause subsumed by 4799 during input processing: 0 [flip.1] {-} hAPP(c_List_Orev(A),B)!=c_List_Olist_ONil(A)|B=c_List_Olist_ONil(A).
% 1.94/2.15 Following clause subsumed by 4800 during input processing: 0 [flip.1] {-} hAPP(c_List_Orev(A),B)=c_List_Olist_ONil(A)|B!=c_List_Olist_ONil(A).
% 1.94/2.15 Following clause subsumed by 4881 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(A),B),hAPP(c_List_Oset(A),C)))|c_List_Oinsert(A,B,C)=C.
% 1.94/2.15 Following clause subsumed by 4900 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)))).
% 1.94/2.15 Following clause subsumed by 4956 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))).
% 1.94/2.15 Following clause subsumed by 4971 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).
% 1.94/2.15 Following clause subsumed by 4971 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)).
% 1.94/2.15 Following clause subsumed by 4998 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Predicate_Oconversep(A,B,C),D),E))|hBOOL(hAPP(hAPP(C,E),D)).
% 1.94/2.15 Following clause subsumed by 4999 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Predicate_Oconversep(A,B,C),D),E))| -hBOOL(hAPP(hAPP(C,E),D)).
% 1.94/2.15 Following clause subsumed by 4999 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(A,B),C))|hBOOL(hAPP(hAPP(c_Predicate_Oconversep(D,E,A),C),B)).
% 1.94/2.15 Following clause subsumed by 4998 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Predicate_Oconversep(A,B,C),D),E))|hBOOL(hAPP(hAPP(C,E),D)).
% 1.94/2.15 Following clause subsumed by 5026 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).
% 1.94/2.15 Following clause subsumed by 5039 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))).
% 1.94/2.15 Following clause subsumed by 5038 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))).
% 1.94/2.16 Following clause subsumed by 5096 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)).
% 1.94/2.16 Following clause subsumed by 97 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)).
% 1.94/2.16 Following clause subsumed by 4949 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).
% 1.94/2.16 Following clause subsumed by 4949 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)).
% 1.94/2.16 Following clause subsumed by 5118 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).
% 1.94/2.16 Following clause subsumed by 5120 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).
% 1.94/2.16 Following clause subsumed by 5126 during input processing: 0 [] {-} -c_Equiv__Relations_Oequivp(A,B)|c_Predicate_Oreflp(A,B).
% 1.94/2.16 Following clause subsumed by 5127 during input processing: 0 [] {-} -c_Equiv__Relations_Oequivp(A,B)|c_Predicate_Osymp(A,B).
% 1.94/2.16 Following clause subsumed by 5128 during input processing: 0 [] {-} -c_Equiv__Relations_Oequivp(A,B)|c_Predicate_Otransp(A,B).
% 1.94/2.16 Following clause subsumed by 5129 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).
% 1.94/2.16 Following clause subsumed by 3555 during input processing: 0 [] {-} -c_Wellfounded_Omax__extp(A,B,C,D)|hBOOL(hAPP(c_Finite__Set_Ofinite(A),C)).
% 1.94/2.16 Following clause subsumed by 3556 during input processing: 0 [] {-} -c_Wellfounded_Omax__extp(A,B,C,D)|hBOOL(hAPP(c_Finite__Set_Ofinite(A),D)).
% 1.94/2.16 Following clause subsumed by 3557 during input processing: 0 [] {-} -c_Wellfounded_Omax__extp(A,B,C,D)|D!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool)).
% 1.94/2.16 Following clause subsumed by 5139 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.
% 1.98/2.20 Following clause subsumed by 5145 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)).
% 1.98/2.20 Following clause subsumed by 5160 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).
% 1.98/2.20 Following clause subsumed by 5157 during input processing: 0 [] {-} -c_Equiv__Relations_Oequiv(A,B,C)|c_Relation_Orefl__on(A,B,C).
% 1.98/2.20 Following clause subsumed by 5158 during input processing: 0 [] {-} -c_Equiv__Relations_Oequiv(A,B,C)|c_Relation_Osym(A,C).
% 1.98/2.20 Following clause subsumed by 5159 during input processing: 0 [] {-} -c_Equiv__Relations_Oequiv(A,B,C)|c_Relation_Otrans(A,C).
% 1.98/2.20 Following clause subsumed by 5163 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).
% 1.98/2.20 Following clause subsumed by 5165 during input processing: 0 [] {-} -c_Equiv__Relations_Opart__equivp(A,B)|c_Predicate_Osymp(A,B).
% 1.98/2.20 Following clause subsumed by 5166 during input processing: 0 [] {-} -c_Equiv__Relations_Opart__equivp(A,B)|c_Predicate_Otransp(A,B).
% 1.98/2.20 Following clause subsumed by 5182 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).
% 1.98/2.20 Following clause subsumed by 5188 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.
% 1.98/2.20 Following clause subsumed by 5196 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.
% 1.98/2.20 Following clause subsumed by 5222 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))).
% 1.98/2.20 Following clause subsumed by 5227 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).
% 1.98/2.20 Following clause subsumed by 5227 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))).
% 1.98/2.20 Following clause subsumed by 5229 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))).
% 1.98/2.20 28 back subsumes 26.
% 1.98/2.20 149 back subsumes 139.
% 1.98/2.20 159 back subsumes 148.
% 1.98/2.20 Following clause subsumed by 195 during input processing: 0 [copy,194,flip.1] {-} hAPP(c_Com_Ocom_OBODY,A)!=c_Com_Ocom_OSemi(B,C).
% 1.98/2.20 Following clause subsumed by 194 during input processing: 0 [copy,195,flip.1] {-} c_Com_Ocom_OSemi(A,B)!=hAPP(c_Com_Ocom_OBODY,C).
% 1.98/2.20 231 back subsumes 230.
% 1.98/2.20 231 back subsumes 207.
% 1.98/2.20 Following clause subsumed by 255 during input processing: 0 [copy,254,flip.1] {-} c_Groups_Ozero__class_Ozero(tc_Nat_Onat)!=hAPP(c_Nat_OSuc,A).
% 1.98/2.20 Following clause subsumed by 254 during input processing: 0 [copy,255,flip.1] {-} hAPP(c_Nat_OSuc,A)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 2.28/2.47 Following clause subsumed by 270 during input processing: 0 [copy,269,flip.1] {-} c_Com_Ocom_OWhile(A,B)!=hAPP(c_Com_Ocom_OBODY,C).
% 2.28/2.47 Following clause subsumed by 269 during input processing: 0 [copy,270,flip.1] {-} hAPP(c_Com_Ocom_OBODY,A)!=c_Com_Ocom_OWhile(B,C).
% 2.28/2.47 Following clause subsumed by 272 during input processing: 0 [copy,271,flip.1] {-} c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OSemi(C,D).
% 2.28/2.47 Following clause subsumed by 271 during input processing: 0 [copy,272,flip.1] {-} c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OWhile(C,D).
% 2.28/2.47 308 back subsumes 303.
% 2.28/2.47 481 back subsumes 480.
% 2.28/2.47 765 back subsumes 761.
% 2.28/2.47 820 back subsumes 818.
% 2.28/2.47 821 back subsumes 819.
% 2.28/2.47 977 back subsumes 975.
% 2.28/2.47 978 back subsumes 974.
% 2.28/2.47 1491 back subsumes 1488.
% 2.28/2.47 1517 back subsumes 1492.
% 2.28/2.47 1518 back subsumes 1493.
% 2.28/2.47 Following clause subsumed by 2116 during input processing: 0 [copy,2115,flip.1] {-} hAPP(c_Com_Ocom_OBODY,A)!=c_Com_Ocom_OCond(B,C,D).
% 2.28/2.47 Following clause subsumed by 2115 during input processing: 0 [copy,2116,flip.1] {-} c_Com_Ocom_OCond(A,B,C)!=hAPP(c_Com_Ocom_OBODY,D).
% 2.28/2.47 Following clause subsumed by 2118 during input processing: 0 [copy,2117,flip.1] {-} c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OCond(C,D,E).
% 2.28/2.47 Following clause subsumed by 2117 during input processing: 0 [copy,2118,flip.1] {-} c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OWhile(D,E).
% 2.28/2.47 Following clause subsumed by 2122 during input processing: 0 [copy,2121,flip.1] {-} c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OCond(C,D,E).
% 2.28/2.47 Following clause subsumed by 2121 during input processing: 0 [copy,2122,flip.1] {-} c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OSemi(D,E).
% 2.28/2.47 2542 back subsumes 2540.
% 2.28/2.47 2960 back subsumes 2941.
% 2.28/2.47 2961 back subsumes 2942.
% 2.28/2.47 2980 back subsumes 2943.
% 2.28/2.47 Following clause subsumed by 3093 during input processing: 0 [copy,3092,flip.1] {-} c_Int_OBit0(A)!=c_Int_OBit1(B).
% 2.28/2.47 Following clause subsumed by 3092 during input processing: 0 [copy,3093,flip.1] {-} c_Int_OBit1(A)!=c_Int_OBit0(B).
% 2.28/2.47 3249 back subsumes 1373.
% 2.28/2.47 3329 back subsumes 3322.
% 2.28/2.47 3335 back subsumes 3333.
% 2.28/2.47 3335 back subsumes 3324.
% 2.28/2.47 3341 back subsumes 3338.
% 2.28/2.47 3347 back subsumes 3340.
% 2.28/2.47 3357 back subsumes 3350.
% 2.28/2.47 3452 back subsumes 3451.
% 2.28/2.47 Following clause subsumed by 3479 during input processing: 0 [copy,3478,flip.1] {-} c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)!=c_Code__Numeral_OSuc__code__numeral(A).
% 2.28/2.47 Following clause subsumed by 3478 during input processing: 0 [copy,3479,flip.1] {-} c_Code__Numeral_OSuc__code__numeral(A)!=c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral).
% 2.28/2.47 3732 back subsumes 3731.
% 2.28/2.47 Following clause subsumed by 3793 during input processing: 0 [copy,3792,flip.1] {-} c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OLocal(D,E,F).
% 2.28/2.47 Following clause subsumed by 3792 during input processing: 0 [copy,3793,flip.1] {-} c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OCond(D,E,F).
% 2.28/2.47 Following clause subsumed by 3795 during input processing: 0 [copy,3794,flip.1] {-} c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OLocal(C,D,E).
% 2.28/2.47 Following clause subsumed by 3794 during input processing: 0 [copy,3795,flip.1] {-} c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OSemi(D,E).
% 2.28/2.47 Following clause subsumed by 3798 during input processing: 0 [copy,3797,flip.1] {-} hAPP(c_Com_Ocom_OBODY,A)!=c_Com_Ocom_OLocal(B,C,D).
% 2.28/2.47 Following clause subsumed by 3797 during input processing: 0 [copy,3798,flip.1] {-} c_Com_Ocom_OLocal(A,B,C)!=hAPP(c_Com_Ocom_OBODY,D).
% 2.28/2.47 Following clause subsumed by 3800 during input processing: 0 [copy,3799,flip.1] {-} c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OLocal(C,D,E).
% 2.28/2.47 Following clause subsumed by 3799 during input processing: 0 [copy,3800,flip.1] {-} c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OWhile(D,E).
% 2.28/2.47 3814 back subsumes 3812.
% 2.28/2.47 3974 back subsumes 3953.
% 2.28/2.47 Following clause subsumed by 4341 during input processing: 0 [copy,4340,flip.1] {-} hAPP(hAPP(c_List_Olist_OCons(A),B),C)!=c_List_Olist_ONil(A).
% 2.28/2.47 Following clause subsumed by 4340 during input processing: 0 [copy,4341,flip.1] {-} c_List_Olist_ONil(A)!=hAPP(hAPP(c_List_Olist_OCons(A),B),C).
% 2.28/2.47 4343 back subsumes 4334.
% 2.28/2.47 4654 back subsumes 4653.
% 2.28/2.47 4775 back subsumes 4761.
% 2.28/2.47 4956 back subsumes 4941.
% 2.28/2.47 5023 back subsumes 5011.
% 2.28/2.47 5023 back subsumes 5006.
% 2.32/2.53 Following clause subsumed by 5085 during input processing: 0 [copy,5084,flip.1] {-} c_Lazy__Sequence_Olazy__sequence_OInsert(A,B,C)!=c_Lazy__Sequence_Olazy__sequence_OEmpty(A).
% 2.32/2.53 Following clause subsumed by 5084 during input processing: 0 [copy,5085,flip.1] {-} c_Lazy__Sequence_Olazy__sequence_OEmpty(A)!=c_Lazy__Sequence_Olazy__sequence_OInsert(A,B,C).
% 2.32/2.53 5227 back subsumes 5225.
% 2.32/2.53 Following clause subsumed by 248 during input processing: 0 [copy,5312,flip.1] {-} hAPP(c_Set_Oimage(A,tc_fun(A,tc_HOL_Obool),B),C)!=hAPP(c_Set_OPow(A),C).
% 2.32/2.53 5359 back subsumes 5358.
% 2.32/2.53 5437 back subsumes 5434.
% 2.32/2.53 5472 back subsumes 5469.
% 2.32/2.53 Following clause subsumed by 1354 during input processing: 0 [copy,5517,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).
% 2.32/2.53 5556 back subsumes 5555.
% 2.32/2.53
% 2.32/2.53 ------------> process sos:
% 2.32/2.53 Following clause subsumed by 5961 during input processing: 0 [] {-} c_Hoare__Mirabelle_Ohoare__derivs(A,B,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(A),tc_HOL_Obool))).
% 2.32/2.53 Following clause subsumed by 5968 during input processing: 0 [] {-} c_Hoare__Mirabelle_Ohoare__derivs(A,B,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(A)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(A),C),c_Com_Ocom_OSKIP),C)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(A),tc_HOL_Obool)))).
% 2.32/2.53 Following clause subsumed by 5969 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSKIP),A),A)).
% 2.32/2.53 Following clause subsumed by 5978 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)).
% 2.32/2.53 Following clause subsumed by 5979 during input processing: 0 [] {-} c_Natural_Oevaln(c_Com_Ocom_OWhile(A,B),C,D,C)|hBOOL(hAPP(A,C)).
% 2.32/2.53 Following clause subsumed by 5981 during input processing: 0 [] {-} c_Natural_Oevaln(c_Com_Ocom_OSKIP,A,B,A).
% 2.32/2.53 Following clause subsumed by 5980 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(A,B)),C),C))|hBOOL(hAPP(A,C)).
% 2.32/2.53 Following clause subsumed by 5977 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_member(A),B),C))|hAPP(c_Fun_Ooverride__on(A,D,E,F,C),B)=hAPP(E,B).
% 2.32/2.53 Following clause subsumed by 6054 during input processing: 0 [] {-} A=B|hAPP(c_Fun_Ofun__upd(C,D,E,B,F),A)=hAPP(E,A).
% 2.32/2.53 Following clause subsumed by 6054 during input processing: 0 [] {-} A=B|hAPP(c_Fun_Ofun__upd(C,D,E,B,F),A)=hAPP(E,A).
% 2.32/2.53 Following clause subsumed by 6056 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).
% 2.32/2.53 Following clause subsumed by 6072 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)).
% 2.32/2.53 Following clause subsumed by 6078 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)).
% 2.32/2.53 Following clause subsumed by 6078 during input processing: 0 [factor_simp] {-} hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),B))|A=B|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B),A)).
% 2.32/2.53 Following clause subsumed by 6122 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).
% 2.32/2.53 Following clause subsumed by 6123 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).
% 2.32/2.53 Following clause subsumed by 6132 during input processing: 0 [] {-} hBOOL(hAPP(c_Finite__Set_Ofinite(A),c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool)))).
% 2.36/2.59 Following clause subsumed by 6160 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)).
% 2.36/2.59 Following clause subsumed by 6160 during input processing: 0 [] {-} hBOOL(hAPP(c_Finite__Set_Ofinite(A),B))|hAPP(c_Finite__Set_Ocard(A),B)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 2.36/2.59 Following clause subsumed by 6288 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)).
% 2.36/2.59 Following clause subsumed by 6282 during input processing: 0 [demod,6280] {-} 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)).
% 2.36/2.59 Following clause subsumed by 6339 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))).
% 2.36/2.59 Following clause subsumed by 6332 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))).
% 2.36/2.59 Following clause subsumed by 6526 during input processing: 0 [demod,6524,6490,6500] {-} hBOOL(hAPP(A,B))|hAPP(hAPP(c_COMBS(C,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),C),c_fconj),hAPP(c_fequal,B))),A)=hAPP(c_COMBK(tc_HOL_Obool,C),c_fFalse).
% 2.36/2.59 Following clause subsumed by 6615 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)).
% 2.36/2.59 Following clause subsumed by 6638 during input processing: 0 [demod,6509] {-} hAPP(hAPP(c_COMBS(A,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),A),c_fconj),B)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,tc_fun(A,tc_HOL_Obool)),D),E))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,tc_fun(A,tc_HOL_Obool)),D),hAPP(hAPP(c_COMBB(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool),C),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(A,tc_HOL_Obool)),B)),E)).
% 2.36/2.59 Following clause subsumed by 6733 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)).
% 2.36/2.59 Following clause subsumed by 6518 during input processing: 0 [demod,6529,6745,6509] {-} hAPP(hAPP(c_COMBS(A,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),A),c_fconj),B)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),C))=hAPP(hAPP(c_COMBS(A,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),A),c_fconj),B)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),C)).
% 2.36/2.59 Following clause subsumed by 6802 during input processing: 0 [demod,6800] {-} 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).
% 2.36/2.59 Following clause subsumed by 6337 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))).
% 2.42/2.62 Following clause subsumed by 6337 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))).
% 2.42/2.62 Following clause subsumed by 6963 during input processing: 0 [flip.3] {-} A=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|c_Divides_Odiv__class_Omod(tc_Int_Oint,B,A)=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),B),A))),c_Groups_Oone__class_Oone(tc_Int_Oint))=hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),B),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),A)).
% 2.42/2.62 Following clause subsumed by 6980 during input processing: 0 [demod,6316,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).
% 2.42/2.62 Following clause subsumed by 6932 during input processing: 0 [demod,7042,7042,7042] {-} hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),B)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),B).
% 2.42/2.62 Following clause subsumed by 6813 during input processing: 0 [demod,7042,7042,6811,7042] {-} hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),A),B)=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),A),B).
% 2.42/2.62 Following clause subsumed by 6728 during input processing: 0 [demod,7042,7053,7042] {-} hBOOL(hAPP(c_Nat__Numeral_Oneg,A))|hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,A))=A.
% 2.42/2.62 Following clause subsumed by 6339 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OPls)).
% 2.42/2.62 Following clause subsumed by 7055 during input processing: 0 [demod,7053,6203,7096] {-} hAPP(c_Int_Onat,c_Int_OPls)=hAPP(c_Int_Onat,c_Int_OPls).
% 2.42/2.62 Following clause subsumed by 6339 during input processing: 0 [demod,7091,7042] {-} hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OPls)).
% 2.42/2.62 Following clause subsumed by 6377 during input processing: 0 [demod,7050,7088,7088,7042] {-} c_Groups_Oone__class_Oone(tc_Int_Oint)=c_Groups_Oone__class_Oone(tc_Int_Oint).
% 2.42/2.62 Following clause subsumed by 7111 during input processing: 0 [demod,7050,7088,7088,7053,6407,7096,6397,6407,7096] {-} hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls))=hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls)).
% 2.42/2.62 Following clause subsumed by 7111 during input processing: 0 [demod,7050,7088,7088,7053,6407,7096,6203,7096] {-} hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls))=hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls)).
% 2.42/2.62 Following clause subsumed by 7098 during input processing: 0 [demod,7175,7088] {-} c_Int_OPls=c_Int_OPls.
% 2.42/2.62 Following clause subsumed by 6346 during input processing: 0 [demod,7050,7115,6345,6345,7115,7175,6345] {-} hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),c_Groups_Oone__class_Oone(tc_Int_Oint))))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),c_Groups_Oone__class_Oone(tc_Int_Oint)))).
% 2.42/2.62 Following clause subsumed by 7225 during input processing: 0 [demod,7050,7088,7088,7175,7053,7208,7223,7050,7088,7088,7175,7042,7208,7223] {-} 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))).
% 2.48/2.68 Following clause subsumed by 7225 during input processing: 0 [demod,6397,6407,7096,6397,6407,7096,6139,6141,6435,7230,7050,7088,7088,7175,7053,7208,7223] {-} 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))).
% 2.48/2.68 Following clause subsumed by 7225 during input processing: 0 [demod,7050,7088,7088,7175,7042,7208,7223,6203,7096] {-} 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))).
% 2.48/2.68 Following clause subsumed by 6339 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OMin)).
% 2.48/2.68 Following clause subsumed by 7263 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OPls)).
% 2.48/2.68 Following clause subsumed by 6813 during input processing: 0 [demod,7107,7175,7278] {-} hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OMin),c_Groups_Oone__class_Oone(tc_Int_Oint))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OMin),c_Groups_Oone__class_Oone(tc_Int_Oint)).
% 2.48/2.68 Following clause subsumed by 7327 during input processing: 0 [demod,7091,7335] {-} A=c_Int_OPls|hBOOL(hAPP(c_Divides_Odivmod__int__rel(B,A),c_Divides_Odivmod__int(B,A))).
% 2.48/2.68 Following clause subsumed by 7346 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).
% 2.48/2.68 Following clause subsumed by 7392 during input processing: 0 [demod,7383] {-} hBOOL(hAPP(c_Divides_Odivmod__nat__rel(A,B),c_Divides_Odivmod__nat(A,B))).
% 2.48/2.68 Following clause subsumed by 7428 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)).
% 2.48/2.68 Following clause subsumed by 7428 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)).
% 2.48/2.68 Following clause subsumed by 7427 during input processing: 0 [demod,6203,7096,7463,6203,7096] {-} hAPP(c_Int_Onat,c_Int_OPls)=hAPP(c_Int_Onat,c_Int_OPls).
% 2.48/2.68 Following clause subsumed by 7660 during input processing: 0 [demod,6506,6506] {-} 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))).
% 2.48/2.68 Following clause subsumed by 7672 during input processing: 0 [demod,6529,7512,6529,7512] {-} 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))),hAPP(c_COMBK(tc_fun(B,tc_HOL_Obool),A),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),hAPP(c_COMBK(tc_fun(B,tc_HOL_Obool),A),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),hAPP(c_COMBK(tc_fun(B,tc_HOL_Obool),A),E)))).
% 2.48/2.68 Following clause subsumed by 7427 during input processing: 0 [demod,7707] {-} B=B.
% 2.48/2.68 Following clause subsumed by 7427 during input processing: 0 [demod,6586,7702,6586] {-} hAPP(c_COMBK(tc_HOL_Obool,A),c_fTrue)=hAPP(c_COMBK(tc_HOL_Obool,A),c_fTrue).
% 2.48/2.68 Following clause subsumed by 7732 during input processing: 0 [demod,6500,6500,7509] {-} 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))).
% 2.48/2.68 Following clause subsumed by 7427 during input processing: 0 [demod,7759] {-} B=B.
% 2.48/2.68 Following clause subsumed by 7427 during input processing: 0 [demod,7761] {-} hAPP(D,hAPP(E,F))=hAPP(D,hAPP(E,F)).
% 2.48/2.74 Following clause subsumed by 7427 during input processing: 0 [demod,7773] {-} c_Product__Type_Omap__pair(E,C,F,D,hAPP(c_Fun_Ocomp(A,C,E,G),I),hAPP(c_Fun_Ocomp(B,D,F,H),J))=c_Product__Type_Omap__pair(E,C,F,D,hAPP(c_Fun_Ocomp(A,C,E,G),I),hAPP(c_Fun_Ocomp(B,D,F,H),J)).
% 2.48/2.74 Following clause subsumed by 7427 during input processing: 0 [demod,7348] {-} c_Hilbert__Choice_OEps(tc_prod(A,B),C)=c_Hilbert__Choice_OEps(tc_prod(A,B),C).
% 2.48/2.74 Following clause subsumed by 7427 during input processing: 0 [demod,7789] {-} 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)).
% 2.48/2.74 Following clause subsumed by 7427 during input processing: 0 [demod,7817,7820] {-} c_Transitive__Closure_Otrancl(A,B)=c_Transitive__Closure_Otrancl(A,B).
% 2.48/2.74 Following clause subsumed by 7427 during input processing: 0 [demod,7856,7862,6586] {-} hAPP(c_COMBK(tc_HOL_Obool,A),c_fTrue)=hAPP(c_COMBK(tc_HOL_Obool,A),c_fTrue).
% 2.48/2.74 Following clause subsumed by 7427 during input processing: 0 [demod,7856,7859,6586] {-} hAPP(c_COMBK(tc_HOL_Obool,A),c_fTrue)=hAPP(c_COMBK(tc_HOL_Obool,A),c_fTrue).
% 2.48/2.74 Following clause subsumed by 7832 during input processing: 0 [demod,6586,7856] {-} 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)))).
% 2.48/2.74 Following clause subsumed by 7427 during input processing: 0 [demod,7913] {-} hAPP(c_Relation_ORange(A,B),C)=hAPP(c_Relation_ORange(A,B),C).
% 2.48/2.74 Following clause subsumed by 7813 during input processing: 0 [demod,6203,7096,7941] {-} 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))))).
% 2.48/2.74 Following clause subsumed by 8017 during input processing: 0 [demod,6506] {-} hAPP(hAPP(c_COMBS(A,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),A),c_fdisj),B)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(C,tc_fun(A,tc_HOL_Obool)),D),E))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(C,tc_fun(A,tc_HOL_Obool)),D),hAPP(hAPP(c_COMBB(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool),C),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool)),B)),E)).
% 2.48/2.74 Following clause subsumed by 7427 during input processing: 0 [demod,8044] {-} hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,tc_fun(B,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(A,tc_HOL_Obool),C)),D)=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,tc_fun(B,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(A,tc_HOL_Obool),C)),D).
% 2.48/2.74 Following clause subsumed by 7427 during input processing: 0 [demod,8067] {-} hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,tc_fun(B,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(A,tc_HOL_Obool),C)),D)=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,tc_fun(B,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(A,tc_HOL_Obool),C)),D).
% 2.48/2.74 Following clause subsumed by 8215 during input processing: 0 [demod,7053,6203,7096,7053,8213,7053,6397,7525,6316] {-} hAPP(c_Int_Onat,A)=hAPP(c_Int_Onat,c_Int_OPls)|c_Nat_Onat_Onat__case(B,C,hAPP(c_List_Onth(B),D),hAPP(c_Int_Onat,A))=hAPP(hAPP(c_List_Onth(B),D),hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,hAPP(c_Int_Onat,hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Relation_OId__on(tc_prod(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_fequal,hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls))),hAPP(c_Int_Onat,c_Int_OPls)))))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),c_Relation_OId__on(tc_Nat_Onat,hAPP(c_COMBK(tc_HOL_Obool,tc_Nat_Onat),c_fFalse)))))))),hAPP(c_Int_Onat,A)))).
% 2.57/2.80 Following clause subsumed by 7427 during input processing: 0 [demod,8268] {-} c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,A,B)=c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,A,B).
% 2.57/2.80 Following clause subsumed by 8328 during input processing: 0 [] {-} c_List_Olistrelp(A,B,c_List_Olist_ONil(A),c_List_Olist_ONil(A)).
% 2.57/2.80 Following clause subsumed by 7427 during input processing: 0 [demod,8218,8327] {-} c_List_Olist_ONil(A)=c_List_Olist_ONil(A).
% 2.57/2.80 Following clause subsumed by 7427 during input processing: 0 [demod,8350] {-} c_List_Olist_ONil(A)=c_List_Olist_ONil(A).
% 2.57/2.80 Following clause subsumed by 8358 during input processing: 0 [demod,7042,7042,7042,7042] {-} 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).
% 2.57/2.80 Following clause subsumed by 7427 during input processing: 0 [demod,8459] {-} c_List_Obutlast(A,hAPP(hAPP(c_List_Odrop(A),B),C))=c_List_Obutlast(A,hAPP(hAPP(c_List_Odrop(A),B),C)).
% 2.57/2.80 Following clause subsumed by 8467 during input processing: 0 [demod,7053,6203,7096,7053,7053,6397,7525,6316] {-} hAPP(c_Int_Onat,A)=hAPP(c_Int_Onat,c_Int_OPls)|hAPP(hAPP(c_List_Odrop(B),hAPP(c_Int_Onat,A)),hAPP(hAPP(c_List_Olist_OCons(B),C),D))=hAPP(hAPP(c_List_Odrop(B),hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,hAPP(c_Int_Onat,hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Relation_OId__on(tc_prod(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_fequal,hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls))),hAPP(c_Int_Onat,c_Int_OPls)))))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),c_Relation_OId__on(tc_Nat_Onat,hAPP(c_COMBK(tc_HOL_Obool,tc_Nat_Onat),c_fFalse)))))))),hAPP(c_Int_Onat,A)))),D).
% 2.57/2.80 Following clause subsumed by 8478 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).
% 2.57/2.80 Following clause subsumed by 8536 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).
% 2.57/2.80 Following clause subsumed by 8537 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).
% 2.57/2.80 Following clause subsumed by 8578 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)).
% 2.57/2.80 Following clause subsumed by 8579 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).
% 2.57/2.80 Following clause subsumed by 7427 during input processing: 0 [demod,8621] {-} A=A.
% 2.57/2.80 Following clause subsumed by 7427 during input processing: 0 [demod,8593,8621,8621] {-} 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).
% 2.57/2.80 Following clause subsumed by 6659 during input processing: 0 [demod,6586] {-} hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),hAPP(c_Code__Numeral_Onat__of,A)),hAPP(c_COMBK(tc_HOL_Obool,tc_Nat_Onat),c_fTrue))).
% 2.57/2.80 Following clause subsumed by 7427 during input processing: 0 [demod,8601,7761,8623,7053] {-} hAPP(c_Int_Onat,A)=hAPP(c_Int_Onat,A).
% 2.57/2.80 Following clause subsumed by 7427 during input processing: 0 [demod,8647] {-} hAPP(hAPP(c_Code__Numeral_Osubtract__code__numeral,A),B)=hAPP(hAPP(c_Code__Numeral_Osubtract__code__numeral,A),B).
% 2.57/2.80 Following clause subsumed by 8658 during input processing: 0 [] {-} hBOOL(hAPP(c_List_Olistsp(A,B),c_List_Olist_ONil(A))).
% 3.24/3.46 Following clause subsumed by 8796 during input processing: 0 [demod,7053,7053,7053,7053] {-} 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).
% 3.24/3.46 Following clause subsumed by 8792 during input processing: 0 [demod,6265,7096,6203,7096,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).
% 3.24/3.46 Following clause subsumed by 8907 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).
% 3.24/3.46 Following clause subsumed by 7427 during input processing: 0 [demod,8931] {-} c_List_Omaps(B,A,C,D)=c_List_Omaps(B,A,C,D).
% 3.24/3.46 Following clause subsumed by 8953 during input processing: 0 [] {-} c_FunDef_Ois__measure(A,B).
% 3.24/3.46 Following clause subsumed by 8953 during input processing: 0 [] {-} c_FunDef_Ois__measure(A,B).
% 3.24/3.46 Following clause subsumed by 7427 during input processing: 0 [demod,8996] {-} hAPP(hAPP(c_List_Olist_OCons(A),B),C)=hAPP(hAPP(c_List_Olist_OCons(A),B),C).
% 3.24/3.46 Following clause subsumed by 9052 during input processing: 0 [demod,6203,7096,6500,6503,6524,6783,6751,7512] {-} A=hAPP(c_Int_Onat,c_Int_OPls)|hAPP(c_List_Oset(B),c_List_Oreplicate(B,A,C))=hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,B),c_fNot),hAPP(c_Relation_OImage(B,B,c_Relation_OId__on(B,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,B),c_fNot),hAPP(c_fequal,C)))),hAPP(c_COMBK(tc_HOL_Obool,B),c_fTrue))).
% 3.24/3.46 Following clause subsumed by 9129 during input processing: 0 [demod,7856] {-} c_Relation_Otrans(A,c_Transitive__Closure_Ortrancl(A,c_Relation_OId__on(A,hAPP(c_COMBK(tc_HOL_Obool,A),c_fFalse)))).
% 3.24/3.46 Following clause subsumed by 6659 during input processing: 0 [demod,6586] {-} hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),$f565(A)),hAPP(c_COMBK(tc_HOL_Obool,tc_Nat_Onat),c_fTrue))).
% 3.24/3.46 Following clause subsumed by 6659 during input processing: 0 [demod,6586] {-} hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),$f566(A,B)),hAPP(c_COMBK(tc_HOL_Obool,tc_Nat_Onat),c_fTrue)))|hBOOL(hAPP(B,A)).
% 3.24/3.46 Following clause subsumed by 9179 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)).
% 3.24/3.46 Following clause subsumed by 7427 during input processing: 0 [] {-} A=A.
% 3.24/3.46 5926 back subsumes 5572.
% 3.24/3.46 5926 back subsumes 5359.
% 3.24/3.46 5926 back subsumes 5320.
% 3.24/3.46 5978 back subsumes 3424.
% 3.24/3.46 5982 back subsumes 5316.
% 3.24/3.46 6072 back subsumes 3428.
% 3.24/3.46 6072 back subsumes 3427.
% 3.24/3.46 6072 back subsumes 3426.
% 3.24/3.46 6132 back subsumes 5352.
% 3.24/3.46 6132 back subsumes 5351.
% 3.24/3.46 6132 back subsumes 5350.
% 3.24/3.46 Following clause subsumed by 7427 during input processing: 0 [copy,6143,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)).
% 3.24/3.46 Following clause subsumed by 6172 during input processing: 0 [copy,6172,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)).
% 3.24/3.46 Following clause subsumed by 6173 during input processing: 0 [copy,6173,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).
% 3.24/3.46 Following clause subsumed by 6254 during input processing: 0 [copy,6254,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).
% 3.24/3.46 Following clause subsumed by 7427 during input processing: 0 [copy,6282,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)).
% 3.46/3.66 Following clause subsumed by 8810 during input processing: 0 [copy,6313,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).
% 3.46/3.66 Following clause subsumed by 8272 during input processing: 0 [copy,6327,flip.1,demod,7525] {-} c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Int_Oint,A,B)=c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Relation_OId__on(tc_prod(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_fequal,hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls))),hAPP(c_Int_Onat,c_Int_OPls)))))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),c_Relation_OId__on(tc_Nat_Onat,hAPP(c_COMBK(tc_HOL_Obool,tc_Nat_Onat),c_fFalse)))))))),B).
% 3.46/3.66 6332 back subsumes 5525.
% 3.46/3.66 6338 back subsumes 5703.
% 3.46/3.66 6338 back subsumes 2545.
% 3.46/3.66 Following clause subsumed by 6346 during input processing: 0 [copy,6346,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)).
% 3.46/3.66 Following clause subsumed by 6347 during input processing: 0 [copy,6347,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).
% 3.46/3.66 Following clause subsumed by 6358 during input processing: 0 [copy,6358,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).
% 3.46/3.66 6370 back subsumes 6335.
% 3.46/3.66 Following clause subsumed by 7427 during input processing: 0 [copy,6377,flip.1,demod,7525,7525] {-} hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Relation_OId__on(tc_prod(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_fequal,hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls))),hAPP(c_Int_Onat,c_Int_OPls)))))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),c_Relation_OId__on(tc_Nat_Onat,hAPP(c_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),hAPP(c_fequal,hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls))),hAPP(c_Int_Onat,c_Int_OPls)))))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),c_Relation_OId__on(tc_Nat_Onat,hAPP(c_COMBK(tc_HOL_Obool,tc_Nat_Onat),c_fFalse))))))).
% 3.46/3.66 Following clause subsumed by 7427 during input processing: 0 [copy,6379,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)).
% 3.46/3.66 Following clause subsumed by 7427 during input processing: 0 [copy,6384,flip.1,demod,7091,7091] {-} c_Int_OPls=c_Int_OPls.
% 3.46/3.66 6384 back subsumes 5919.
% 3.46/3.66 6384 back subsumes 5918.
% 4.78/5.04 Following clause subsumed by 7427 during input processing: 0 [copy,6394,flip.1,demod,7096,7096] {-} hAPP(c_Int_Onat,c_Int_OPls)=hAPP(c_Int_Onat,c_Int_OPls).
% 4.78/5.04 Following clause subsumed by 7427 during input processing: 0 [copy,6404,flip.1,demod,7096,7096,9761,7096,7096,9761] {-} hAPP(c_COMBK(tc_HOL_Obool,tc_Nat_Onat),c_fFalse)=hAPP(c_COMBK(tc_HOL_Obool,tc_Nat_Onat),c_fFalse).
% 4.78/5.04 Following clause subsumed by 7427 during input processing: 0 [copy,6421,flip.1] {-} hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(A,tc_Nat_Onat),B),C)=hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(A,tc_Nat_Onat),B),C).
% 4.78/5.04 6443 back subsumes 6441.
% 4.78/5.04 Following clause subsumed by 7427 during input processing: 0 [copy,6456,flip.1,demod,7096,7096] {-} c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(c_Int_Onat,c_Int_OPls),A)=c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(c_Int_Onat,c_Int_OPls),A).
% 4.78/5.04 Following clause subsumed by 7427 during input processing: 0 [copy,6484,flip.1] {-} hAPP(c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,A)))=hAPP(c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,A))).
% 4.78/5.04 Following clause subsumed by 7427 during input processing: 0 [copy,6514,flip.1,demod,6524,6524] {-} 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).
% 4.78/5.04 Following clause subsumed by 7427 during input processing: 0 [copy,6516,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),B)),C).
% 4.78/5.04 6516 back subsumes 6514.
% 4.78/5.04 Following clause subsumed by 7427 during input processing: 0 [copy,6518,flip.1,demod,7512,7512] {-} hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,B)),C)=hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,B)),C).
% 4.78/5.04 6554 back subsumes 5101.
% 4.78/5.04 Following clause subsumed by 7427 during input processing: 0 [copy,6588,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))).
% 4.78/5.04 Following clause subsumed by 6615 during input processing: 0 [copy,6614,flip.1] {-} hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,tc_fun(B,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,tc_fun(A,tc_HOL_Obool)),D),E)),F)=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,tc_fun(B,tc_HOL_Obool)),D),hAPP(hAPP(c_COMBC(C,tc_fun(A,tc_fun(B,tc_HOL_Obool)),tc_fun(B,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(A,tc_HOL_Obool),tc_fun(tc_fun(A,tc_fun(B,tc_HOL_Obool)),tc_fun(B,tc_HOL_Obool)),C),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,tc_fun(B,tc_HOL_Obool))),E)),F)).
% 4.78/5.04 Following clause subsumed by 6614 during input processing: 0 [copy,6615,flip.1] {-} hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,tc_fun(B,tc_HOL_Obool)),C),hAPP(hAPP(c_COMBC(A,tc_fun(D,tc_fun(B,tc_HOL_Obool)),tc_fun(B,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(D,tc_HOL_Obool),tc_fun(tc_fun(D,tc_fun(B,tc_HOL_Obool)),tc_fun(B,tc_HOL_Obool)),A),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(D,tc_fun(B,tc_HOL_Obool))),E)),F))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(D,tc_fun(B,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,tc_fun(D,tc_HOL_Obool)),C),E)),F).
% 4.78/5.04 Following clause subsumed by 6628 during input processing: 0 [copy,6626,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)).
% 5.53/5.72 Following clause subsumed by 6626 during input processing: 0 [copy,6628,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).
% 5.53/5.72 Following clause subsumed by 7427 during input processing: 0 [copy,6780,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).
% 5.53/5.72 Following clause subsumed by 7427 during input processing: 0 [copy,6802,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).
% 5.53/5.72 Following clause subsumed by 7427 during input processing: 0 [copy,6813,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).
% 5.53/5.72 Following clause subsumed by 7427 during input processing: 0 [copy,6840,flip.1,demod,7430,7430] {-} hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_Odivmod__int(A,B))=hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_Odivmod__int(A,B)).
% 5.53/5.72 Following clause subsumed by 7427 during input processing: 0 [copy,6884,flip.1,demod,7440,7440] {-} 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))).
% 5.53/5.72 Following clause subsumed by 7427 during input processing: 0 [copy,6901,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).
% 5.53/5.72 Following clause subsumed by 7427 during input processing: 0 [copy,6932,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).
% 5.53/5.72 Following clause subsumed by 7427 during input processing: 0 [copy,6986,flip.1] {-} c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),A),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B))=c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),A),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B)).
% 5.53/5.72 Following clause subsumed by 7427 during input processing: 0 [copy,7044,flip.1] {-} hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),A),B)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),A),B).
% 5.53/5.72 Following clause subsumed by 7427 during input processing: 0 [copy,7055,flip.1] {-} hAPP(c_Int_Onat,A)=hAPP(c_Int_Onat,A).
% 5.53/5.72 7055 back subsumes 5552.
% 5.53/5.72 Following clause subsumed by 7427 during input processing: 0 [copy,7098,flip.1] {-} c_Int_OPls=c_Int_OPls.
% 5.53/5.72 Following clause subsumed by 7427 during input processing: 0 [copy,7111,flip.1] {-} hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls))=hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls)).
% 5.53/5.72 Following clause subsumed by 7427 during input processing: 0 [copy,7130,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)))).
% 5.53/5.72 Following clause subsumed by 7427 during input processing: 0 [copy,7136,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)).
% 5.53/5.72 Following clause subsumed by 7427 during input processing: 0 [copy,7138,flip.1] {-} c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,A))),B)=c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,A))),B).
% 5.53/5.72 7138 back subsumes 7136.
% 5.77/5.94 Following clause subsumed by 7427 during input processing: 0 [copy,7140,flip.1] {-} c_Divides_Odiv__class_Omod(tc_Nat_Onat,A,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,B))))=c_Divides_Odiv__class_Omod(tc_Nat_Onat,A,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,B)))).
% 5.77/5.94 Following clause subsumed by 7427 during input processing: 0 [copy,7142,flip.1,demod,7440,7440] {-} 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))).
% 5.77/5.94 Following clause subsumed by 7427 during input processing: 0 [copy,7144,flip.1,demod,7440,7440] {-} hAPP(c_Product__Type_Ofst(tc_Nat_Onat,tc_Nat_Onat),c_Divides_Odivmod__nat(hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,A))),B))=hAPP(c_Product__Type_Ofst(tc_Nat_Onat,tc_Nat_Onat),c_Divides_Odivmod__nat(hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,A))),B)).
% 5.77/5.94 7144 back subsumes 7142.
% 5.77/5.94 Following clause subsumed by 7427 during input processing: 0 [copy,7146,flip.1,demod,7440,7440] {-} 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))))).
% 5.77/5.94 Following clause subsumed by 7427 during input processing: 0 [copy,7225,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))).
% 5.77/5.94 Following clause subsumed by 7427 during input processing: 0 [copy,7350,flip.1] {-} c_Enum_Oenum__the(tc_prod(A,B),C)=c_Enum_Oenum__the(tc_prod(A,B),C).
% 5.77/5.94 Following clause subsumed by 7427 during input processing: 0 [copy,7427,flip.1] {-} A=A.
% 5.77/5.94 7427 back subsumes 7350.
% 5.77/5.94 7427 back subsumes 7225.
% 5.77/5.94 7427 back subsumes 7146.
% 5.77/5.94 7427 back subsumes 7144.
% 5.77/5.94 7427 back subsumes 7140.
% 5.77/5.94 7427 back subsumes 7138.
% 5.77/5.94 7427 back subsumes 7130.
% 5.77/5.94 7427 back subsumes 7111.
% 5.77/5.94 7427 back subsumes 7098.
% 5.77/5.94 7427 back subsumes 7055.
% 5.77/5.94 7427 back subsumes 7044.
% 5.77/5.94 7427 back subsumes 6986.
% 5.77/5.94 7427 back subsumes 6932.
% 5.77/5.94 7427 back subsumes 6901.
% 5.77/5.94 7427 back subsumes 6884.
% 5.77/5.94 7427 back subsumes 6840.
% 5.77/5.94 7427 back subsumes 6813.
% 5.77/5.94 7427 back subsumes 6802.
% 5.77/5.94 7427 back subsumes 6780.
% 5.77/5.94 7427 back subsumes 6588.
% 5.77/5.94 7427 back subsumes 6518.
% 5.77/5.94 7427 back subsumes 6516.
% 5.77/5.94 7427 back subsumes 6484.
% 5.77/5.94 7427 back subsumes 6421.
% 5.77/5.94 7427 back subsumes 6379.
% 5.77/5.94 7427 back subsumes 6377.
% 5.77/5.94 7427 back subsumes 6282.
% 5.77/5.94 7427 back subsumes 6143.
% 5.77/5.94 7427 back subsumes 5894.
% 5.77/5.94 7427 back subsumes 5891.
% 5.77/5.94 7427 back subsumes 5860.
% 5.77/5.94 7427 back subsumes 5835.
% 5.77/5.94 7427 back subsumes 5834.
% 5.77/5.94 7427 back subsumes 5832.
% 5.77/5.94 7427 back subsumes 5831.
% 5.77/5.94 7427 back subsumes 5829.
% 5.77/5.94 7427 back subsumes 5828.
% 5.77/5.94 7427 back subsumes 5827.
% 5.77/5.94 7427 back subsumes 5821.
% 5.77/5.94 7427 back subsumes 5819.
% 5.77/5.94 7427 back subsumes 5817.
% 5.77/5.94 7427 back subsumes 5806.
% 5.77/5.94 7427 back subsumes 5805.
% 5.77/5.94 7427 back subsumes 5785.
% 5.77/5.94 7427 back subsumes 5784.
% 5.77/5.94 7427 back subsumes 5773.
% 5.77/5.94 7427 back subsumes 5772.
% 5.77/5.94 7427 back subsumes 5761.
% 5.77/5.94 7427 back subsumes 5629.
% 5.77/5.94 7427 back subsumes 5624.
% 5.77/5.94 7427 back subsumes 5567.
% 5.77/5.94 7427 back subsumes 5566.
% 5.77/5.94 7427 back subsumes 5518.
% 5.77/5.94 7427 back subsumes 5506.
% 5.77/5.94 7427 back subsumes 5505.
% 5.77/5.94 7427 back subsumes 5504.
% 5.77/5.94 7427 back subsumes 5395.
% 5.77/5.94 7427 back subsumes 5381.
% 5.77/5.94 7427 back subsumes 5329.
% 5.77/5.94 7427 back subsumes 5328.
% 5.77/5.94 7427 back subsumes 5322.
% 5.77/5.94 7427 back subsumes 5310.
% 5.77/5.94 7427 back subsumes 5299.
% 5.77/5.94 7427 back subsumes 5281.
% 5.77/5.94 7427 back subsumes 5279.
% 5.77/5.94 7669 back subsumes 7667.
% 5.77/5.94 Following clause subsumed by 7724 during input processing: 0 [copy,7727,flip.1] {-} c_Product__Type_Oapsnd(A,A,B,c_Fun_Oid(A))=c_Product__Type_Omap__pair(B,B,A,A,c_Fun_Oid(B),c_Fun_Oid(A)).
% 5.77/5.94 7766 back subsumes 3747.
% 5.77/5.94 Following clause subsumed by 11129 during input processing: 0 [copy,7787,flip.1,demod,7789,8159] {-} hAPP(hAPP(A,hAPP(c_Product__Type_Ofst(B,C),hAPP(D,E))),hAPP(c_Product__Type_Osnd(B,C),hAPP(D,E)))=hAPP(hAPP(c_Product__Type_Ointernal__split(B,C,G),A),hAPP(D,E)).
% 5.77/5.94 7813 back subsumes 5820.
% 5.77/5.94 Following clause subsumed by 7973 during input processing: 0 [copy,7971,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)).
% 5.77/5.94 Following clause subsumed by 7971 during input processing: 0 [copy,7973,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))).
% 5.77/5.94 Following clause subsumed by 7975 during input processing: 0 [copy,7974,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)).
% 5.77/5.94 Following clause subsumed by 7974 during input processing: 0 [copy,7975,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).
% 5.77/5.94 Following clause subsumed by 7995 during input processing: 0 [copy,7993,flip.1] {-} hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,tc_fun(B,tc_HOL_Obool)),C),hAPP(hAPP(c_COMBB(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool),A),hAPP(c_Set_Oinsert(B),D)),E))=hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,B),c_fNot),hAPP(c_Relation_OImage(B,B,c_Relation_OId__on(B,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,B),c_fNot),hAPP(c_fequal,D)))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,B),c_fNot),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,tc_fun(B,tc_HOL_Obool)),C),E)))).
% 5.77/5.94 Following clause subsumed by 7993 during input processing: 0 [copy,7995,flip.1] {-} hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),hAPP(c_fequal,B)))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(C,tc_fun(A,tc_HOL_Obool)),D),E))))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(C,tc_fun(A,tc_HOL_Obool)),D),hAPP(hAPP(c_COMBB(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool),C),hAPP(c_Set_Oinsert(A),B)),E)).
% 5.77/5.94 Following clause subsumed by 7997 during input processing: 0 [copy,7996,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)).
% 5.83/6.03 Following clause subsumed by 7996 during input processing: 0 [copy,7997,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).
% 5.83/6.03 Following clause subsumed by 8017 during input processing: 0 [copy,8013,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)).
% 5.83/6.03 Following clause subsumed by 8019 during input processing: 0 [copy,8015,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)).
% 5.83/6.03 Following clause subsumed by 8013 during input processing: 0 [copy,8017,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)).
% 5.83/6.03 Following clause subsumed by 8015 during input processing: 0 [copy,8019,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).
% 5.83/6.03 Following clause subsumed by 8046 during input processing: 0 [copy,8045,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).
% 5.83/6.03 Following clause subsumed by 8045 during input processing: 0 [copy,8046,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)).
% 5.83/6.03 Following clause subsumed by 8099 during input processing: 0 [copy,8098,flip.1] {-} c_Complete__Lattice_OSup__class_OSup(tc_fun(A,tc_HOL_Obool),hAPP(c_Set_Oimage(B,tc_fun(A,tc_HOL_Obool),C),D))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(B,tc_fun(A,tc_HOL_Obool)),D),C).
% 5.83/6.03 Following clause subsumed by 8098 during input processing: 0 [copy,8099,flip.1] {-} hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,tc_fun(B,tc_HOL_Obool)),C),D)=c_Complete__Lattice_OSup__class_OSup(tc_fun(B,tc_HOL_Obool),hAPP(c_Set_Oimage(A,tc_fun(B,tc_HOL_Obool),D),C)).
% 5.83/6.03 Following clause subsumed by 11121 during input processing: 0 [copy,8160,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)).
% 5.83/6.03 8239 back subsumes 8232.
% 5.83/6.03 8282 back subsumes 4294.
% 5.83/6.03 Following clause subsumed by 8310 during input processing: 0 [copy,8310,flip.1] {-} c_List_Oremove1(A,B,c_List_Oremove1(A,C,D))=c_List_Oremove1(A,C,c_List_Oremove1(A,B,D)).
% 6.03/6.22 Following clause subsumed by 11471 during input processing: 0 [copy,8334,flip.1,demod,9761] {-} c_List_Olist_ONil(A)=c_List_Osublist(A,B,hAPP(c_COMBK(tc_HOL_Obool,tc_Nat_Onat),c_fFalse)).
% 6.03/6.22 8358 back subsumes 4365.
% 6.03/6.22 8365 back subsumes 8314.
% 6.03/6.22 Following clause subsumed by 8486 during input processing: 0 [copy,8485,flip.1] {-} hAPP(c_List_Otl(A),hAPP(hAPP(c_List_Odrop(A),B),C))=hAPP(hAPP(c_List_Odrop(A),B),hAPP(c_List_Otl(A),C)).
% 6.03/6.22 Following clause subsumed by 8485 during input processing: 0 [copy,8486,flip.1] {-} hAPP(hAPP(c_List_Odrop(A),B),hAPP(c_List_Otl(A),C))=hAPP(c_List_Otl(A),hAPP(hAPP(c_List_Odrop(A),B),C)).
% 6.03/6.22 8710 back subsumes 4716.
% 6.03/6.22 Following clause subsumed by 6313 during input processing: 0 [copy,8810,flip.1] {-} c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(c_Nat_OSuc,A),B)=c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,A,B).
% 6.03/6.22 Following clause subsumed by 11580 during input processing: 0 [copy,8928,flip.1,demod,9088,9910,10562,9088] {-} hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,hAPP(c_List_Omember(A),B))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),hAPP(c_fequal,C)))=hAPP(c_List_Omember(A),hAPP(c_List_OremoveAll(A,C),B)).
% 6.03/6.22 8953 back subsumes 8952.
% 6.03/6.22 8953 back subsumes 4986.
% 6.03/6.22 8953 back subsumes 4985.
% 6.03/6.22 8953 back subsumes 4984.
% 6.03/6.22 9143 back subsumes 9142.
% 6.03/6.22 Following clause subsumed by 5921 during input processing: 0 [copy,9393,flip.1] {-} c_Hoare__Mirabelle_Otriple_Otriple__rec(A,B,C,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(A),D),E),F))=hAPP(hAPP(hAPP(C,D),E),F).
% 6.03/6.22 Following clause subsumed by 5922 during input processing: 0 [copy,9394,flip.1] {-} c_Hoare__Mirabelle_Otriple_Otriple__case(A,B,C,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(A),D),E),F))=hAPP(hAPP(hAPP(C,D),E),F).
% 6.03/6.22 Following clause subsumed by 10244 during input processing: 0 [copy,9395,flip.1] {-} hAPP(c_Set_Oimage(A,B,C),hAPP(hAPP(c_COMBS(A,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),A),c_fdisj),D)),E))=hAPP(hAPP(c_COMBS(B,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),B),c_fdisj),hAPP(c_Set_Oimage(A,B,C),D))),hAPP(c_Set_Oimage(A,B,C),E)).
% 6.03/6.22 Following clause subsumed by 9396 during input processing: 0 [copy,9396,flip.1] {-} hAPP(hAPP(c_COMBS(A,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),A),c_fdisj),B)),hAPP(hAPP(c_COMBS(A,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),A),c_fdisj),C)),D))=hAPP(hAPP(c_COMBS(A,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),A),c_fdisj),C)),hAPP(hAPP(c_COMBS(A,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),A),c_fdisj),B)),D)).
% 6.03/6.22 Following clause subsumed by 9397 during input processing: 0 [copy,9397,flip.1] {-} hAPP(hAPP(c_COMBS(A,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),A),c_fdisj),B)),C)=hAPP(hAPP(c_COMBS(A,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),A),c_fdisj),C)),B).
% 6.03/6.22 Following clause subsumed by 9920 during input processing: 0 [copy,9423,flip.1] {-} hAPP(c_Set_Oimage(A,B,C),hAPP(c_COMBK(tc_HOL_Obool,A),c_fFalse))=hAPP(c_COMBK(tc_HOL_Obool,B),c_fFalse).
% 6.03/6.22 Following clause subsumed by 10231 during input processing: 0 [copy,9427,flip.1] {-} hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,hAPP(hAPP(c_COMBS(A,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),A),c_fdisj),B)),C))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),D))=hAPP(hAPP(c_COMBS(A,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),A),c_fdisj),hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,B)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),D)))),hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,C)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),D))).
% 6.03/6.22 Following clause subsumed by 6059 during input processing: 0 [copy,9436,flip.1] {-} c_Nat_Onat_Onat__case(A,B,C,hAPP(c_Nat_OSuc,D))=hAPP(C,D).
% 6.13/6.31 Following clause subsumed by 9875 during input processing: 0 [copy,9439,flip.1] {-} hAPP(c_Fun_Othe__inv__into(A,B,C,D),E)=c_Enum_Oenum__the(A,hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,C)),hAPP(hAPP(c_COMBC(A,B,tc_HOL_Obool),hAPP(hAPP(c_COMBB(B,tc_fun(B,tc_HOL_Obool),A),c_fequal),D)),E))).
% 6.13/6.31 Following clause subsumed by 9452 during input processing: 0 [copy,9452,flip.1] {-} hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,B)),C)=hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,C)),B).
% 6.13/6.31 Following clause subsumed by 9453 during input processing: 0 [copy,9453,flip.1] {-} hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,B)),hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,C)),D))=hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,C)),hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,B)),D)).
% 6.13/6.31 Following clause subsumed by 10231 during input processing: 0 [copy,9454,flip.1] {-} hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,hAPP(hAPP(c_COMBS(A,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),A),c_fdisj),B)),C))),D)=hAPP(hAPP(c_COMBS(A,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),A),c_fdisj),hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,B)),D))),hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,C)),D)).
% 6.13/6.31 9454 back subsumes 9427.
% 6.13/6.31 Following clause subsumed by 6194 during input processing: 0 [copy,9504,flip.1] {-} c_Com_Ocom_Ocom__size(c_Com_Ocom_OSemi(A,B))=hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Com_Ocom_Ocom__size(A)),c_Com_Ocom_Ocom__size(B))).
% 6.13/6.31 Following clause subsumed by 6222 during input processing: 0 [copy,9750,flip.1] {-} hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),A),B)),C)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),C)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),B),C)).
% 6.13/6.31 Following clause subsumed by 6233 during input processing: 0 [copy,9753,flip.1] {-} hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Nat_Onat,hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),A)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,B,C))=c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B),A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),C),A)).
% 6.13/6.31 Following clause subsumed by 6239 during input processing: 0 [copy,9756,flip.1] {-} hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,A)),B)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B)).
% 6.13/6.31 9763 back subsumes 1177.
% 6.13/6.31 Following clause subsumed by 6354 during input processing: 0 [copy,9785,flip.1] {-} hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),A),B)),C)=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),A),C)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),B),C)).
% 6.13/6.31 Following clause subsumed by 6361 during input processing: 0 [copy,9786,flip.1] {-} hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),B)),C)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),A),C)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),B),C)).
% 6.13/6.31 Following clause subsumed by 9439 during input processing: 0 [copy,9875,flip.1] {-} c_Enum_Oenum__the(A,hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,B)),hAPP(hAPP(c_COMBC(A,C,tc_HOL_Obool),hAPP(hAPP(c_COMBB(C,tc_fun(C,tc_HOL_Obool),A),c_fequal),D)),E)))=hAPP(c_Fun_Othe__inv__into(A,C,B,D),E).
% 6.13/6.31 Following clause subsumed by 9423 during input processing: 0 [copy,9920,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)).
% 6.13/6.31 9920 back subsumes 9892.
% 6.13/6.33 Following clause subsumed by 9454 during input processing: 0 [copy,10231,flip.1] {-} hAPP(hAPP(c_COMBS(A,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),A),c_fdisj),hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,B)),C))),hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,D)),C))=hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,hAPP(hAPP(c_COMBS(A,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),A),c_fdisj),B)),D))),C).
% 6.13/6.33 Following clause subsumed by 9395 during input processing: 0 [copy,10244,flip.1] {-} hAPP(hAPP(c_COMBS(A,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),A),c_fdisj),hAPP(c_Set_Oimage(B,A,C),D))),hAPP(c_Set_Oimage(B,A,C),E))=hAPP(c_Set_Oimage(B,A,C),hAPP(hAPP(c_COMBS(B,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),B),c_fdisj),D)),E)).
% 6.13/6.33 Following clause subsumed by 10404 during input processing: 0 [copy,10399,flip.1] {-} hAPP(c_Set_Oimage(A,tc_fun(A,tc_HOL_Obool),B),C)!=hAPP(hAPP(c_COMBC(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool),tc_HOL_Obool),c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool))),C).
% 6.13/6.33 Following clause subsumed by 10399 during input processing: 0 [copy,10404,flip.1] {-} hAPP(hAPP(c_COMBC(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool),tc_HOL_Obool),c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool))),B)!=hAPP(c_Set_Oimage(A,tc_fun(A,tc_HOL_Obool),C),B).
% 6.13/6.33 Following clause subsumed by 10702 during input processing: 0 [copy,10406,flip.1] {-} hAPP(c_Relation_OImage(tc_Int_Oint,tc_Int_Oint,c_Relation_OId__on(tc_Int_Oint,hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls))),A)=hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_HOL_Obool,tc_Nat_Onat),A),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint))).
% 6.13/6.33 Following clause subsumed by 11023 during input processing: 0 [copy,10512,flip.1] {-} hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(A,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(c_Int_Onat,c_Int_OPls),B)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(A,tc_HOL_Obool),tc_Nat_Onat),C),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),D)))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(A,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,D,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B),D))),C).
% 6.13/6.33 Following clause subsumed by 6602 during input processing: 0 [copy,10513,flip.1] {-} hAPP(c_Set_Oimage(A,B,C),D)=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,tc_fun(B,tc_HOL_Obool)),D),hAPP(hAPP(c_COMBC(A,tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(B,tc_fun(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool)),A),c_Set_Oinsert(B)),C)),hAPP(c_COMBK(tc_HOL_Obool,B),c_fFalse))).
% 6.13/6.33 Following clause subsumed by 6627 during input processing: 0 [copy,10515,flip.1] {-} hAPP(c_Set_Oimage(A,B,C),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(D,tc_fun(A,tc_HOL_Obool)),E),F))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(D,tc_fun(B,tc_HOL_Obool)),E),hAPP(hAPP(c_COMBB(tc_fun(A,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool),D),c_Set_Oimage(A,B,C)),F)).
% 6.13/6.33 Following clause subsumed by 6630 during input processing: 0 [copy,10516,flip.1] {-} hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,tc_fun(B,tc_HOL_Obool)),C),hAPP(hAPP(c_COMBS(A,tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(B,tc_HOL_Obool),tc_fun(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool)),A),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(B,tc_HOL_Obool))),D)),E))=hAPP(hAPP(c_COMBS(B,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),B),c_fdisj),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,tc_fun(B,tc_HOL_Obool)),C),D))),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,tc_fun(B,tc_HOL_Obool)),C),E)).
% 6.13/6.33 Following clause subsumed by 6632 during input processing: 0 [copy,10517,flip.1] {-} hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,tc_fun(B,tc_HOL_Obool)),hAPP(hAPP(c_COMBS(A,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),A),c_fdisj),C)),D)),E)=hAPP(hAPP(c_COMBS(B,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),B),c_fdisj),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,tc_fun(B,tc_HOL_Obool)),C),E))),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,tc_fun(B,tc_HOL_Obool)),D),E)).
% 6.13/6.33 Following clause subsumed by 10520 during input processing: 0 [copy,10518,flip.1] {-} hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,tc_fun(B,tc_HOL_Obool)),C),hAPP(hAPP(c_COMBB(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool),A),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(B,tc_HOL_Obool)),D)),E))=hAPP(c_Relation_OImage(B,B,c_Relation_OId__on(B,D)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,tc_fun(B,tc_HOL_Obool)),C),E)).
% 6.13/6.33 Following clause subsumed by 10521 during input processing: 0 [copy,10519,flip.1] {-} hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,tc_fun(B,tc_HOL_Obool)),C),hAPP(hAPP(c_COMBC(A,tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(B,tc_HOL_Obool),tc_fun(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool)),A),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(B,tc_HOL_Obool))),D)),E))=hAPP(c_Relation_OImage(B,B,c_Relation_OId__on(B,hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,tc_fun(B,tc_HOL_Obool)),C),D))),E).
% 6.13/6.33 Following clause subsumed by 10518 during input processing: 0 [copy,10520,flip.1] {-} hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,B)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,tc_fun(A,tc_HOL_Obool)),D),E))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,tc_fun(A,tc_HOL_Obool)),D),hAPP(hAPP(c_COMBB(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool),C),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(A,tc_HOL_Obool)),B)),E)).
% 6.13/6.33 Following clause subsumed by 10519 during input processing: 0 [copy,10521,flip.1] {-} hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(B,tc_fun(A,tc_HOL_Obool)),C),D))),E)=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(B,tc_fun(A,tc_HOL_Obool)),C),hAPP(hAPP(c_COMBC(B,tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(A,tc_HOL_Obool),tc_fun(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),B),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(A,tc_HOL_Obool))),D)),E)).
% 6.13/6.33 Following clause subsumed by 10524 during input processing: 0 [copy,10523,flip.1] {-} hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,tc_fun(B,tc_HOL_Obool)),C),hAPP(hAPP(c_COMBC(A,tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(B,tc_HOL_Obool),tc_fun(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool)),A),c_Groups_Ominus__class_Ominus(tc_fun(B,tc_HOL_Obool))),D)),E))=hAPP(c_Relation_OImage(B,B,c_Relation_OId__on(B,hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,tc_fun(B,tc_HOL_Obool)),C),D))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,B),c_fNot),E)).
% 6.13/6.33 Following clause subsumed by 10523 during input processing: 0 [copy,10524,flip.1] {-} hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(B,tc_fun(A,tc_HOL_Obool)),C),D))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),E))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(B,tc_fun(A,tc_HOL_Obool)),C),hAPP(hAPP(c_COMBC(B,tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(A,tc_HOL_Obool),tc_fun(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),B),c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool))),D)),E)).
% 6.13/6.33 Following clause subsumed by 6671 during input processing: 0 [copy,10525,flip.1] {-} hAPP(c_Set_Ovimage(A,B,C),hAPP(c_COMBK(tc_HOL_Obool,B),c_fFalse))=hAPP(c_COMBK(tc_HOL_Obool,A),c_fFalse).
% 6.17/6.35 Following clause subsumed by 6676 during input processing: 0 [copy,10526,flip.1] {-} hAPP(c_Set_Ovimage(A,B,C),hAPP(c_COMBK(tc_HOL_Obool,B),c_fTrue))=hAPP(c_COMBK(tc_HOL_Obool,A),c_fTrue).
% 6.17/6.35 Following clause subsumed by 6678 during input processing: 0 [copy,10527,flip.1] {-} hAPP(c_Set_Ovimage(A,B,C),hAPP(hAPP(c_COMBS(B,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),B),c_fdisj),D)),E))=hAPP(hAPP(c_COMBS(A,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),A),c_fdisj),hAPP(c_Set_Ovimage(A,B,C),D))),hAPP(c_Set_Ovimage(A,B,C),E)).
% 6.17/6.35 Following clause subsumed by 6684 during input processing: 0 [copy,10532,flip.1] {-} hAPP(c_Set_Ovimage(A,B,C),D)=hAPP(hAPP(c_COMBB(B,tc_HOL_Obool,A),D),C).
% 6.17/6.35 Following clause subsumed by 6685 during input processing: 0 [copy,10533,flip.1] {-} hAPP(c_Set_Ovimage(A,B,C),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(D,tc_fun(B,tc_HOL_Obool)),E),F))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(D,tc_fun(A,tc_HOL_Obool)),E),hAPP(hAPP(c_COMBB(tc_fun(B,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool),D),c_Set_Ovimage(A,B,C)),F)).
% 6.17/6.35 Following clause subsumed by 11196 during input processing: 0 [copy,10534,flip.1] {-} hAPP(c_Set_Oimage(A,B,C),hAPP(c_Set_Ovimage(A,B,C),D))=hAPP(c_Relation_OImage(B,B,c_Relation_OId__on(B,D)),hAPP(c_Set_Oimage(A,B,C),hAPP(c_COMBK(tc_HOL_Obool,A),c_fTrue))).
% 6.17/6.35 Following clause subsumed by 6698 during input processing: 0 [copy,10535,flip.1] {-} hAPP(c_Set_Ovimage(A,B,C),D)=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(B,tc_fun(A,tc_HOL_Obool)),D),hAPP(hAPP(c_COMBB(tc_fun(B,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool),B),c_Set_Ovimage(A,B,C)),hAPP(hAPP(c_COMBC(B,tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool)),c_Set_Oinsert(B)),hAPP(c_COMBK(tc_HOL_Obool,B),c_fFalse)))).
% 6.17/6.35 Following clause subsumed by 11022 during input processing: 0 [copy,10557,flip.1] {-} c_Com_Ocom_Ocom__size(c_Com_Ocom_OCond(A,B,C))=hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Com_Ocom_Ocom__size(B)),c_Com_Ocom_Ocom__size(C))).
% 6.17/6.35 Following clause subsumed by 6732 during input processing: 0 [copy,10558,flip.1] {-} hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),c_Com_Ocom_OCond(A,B,C))=hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),c_Com_Ocom_OSemi(B,C)).
% 6.17/6.35 Following clause subsumed by 10560 during input processing: 0 [copy,10559,flip.1] {-} hAPP(c_Set_Ovimage(A,B,C),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,B),c_fNot),D))=hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),hAPP(c_Set_Ovimage(A,B,C),D)).
% 6.17/6.35 Following clause subsumed by 10559 during input processing: 0 [copy,10560,flip.1] {-} hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),hAPP(c_Set_Ovimage(A,B,C),D))=hAPP(c_Set_Ovimage(A,B,C),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,B),c_fNot),D)).
% 6.17/6.35 Following clause subsumed by 11163 during input processing: 0 [copy,10590,flip.1] {-} hAPP(c_Product__Type_Ofst(tc_Nat_Onat,tc_Nat_Onat),c_Divides_Odivmod__nat(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),B),C)))=hAPP(c_Product__Type_Ofst(tc_Nat_Onat,tc_Nat_Onat),c_Divides_Odivmod__nat(hAPP(c_Product__Type_Ofst(tc_Nat_Onat,tc_Nat_Onat),c_Divides_Odivmod__nat(A,B)),C)).
% 6.17/6.35 Following clause subsumed by 11137 during input processing: 0 [copy,10599,flip.1] {-} hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),A),hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_Odivmod__int(B,A)))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B),c_Divides_Odiv__class_Omod(tc_Int_Oint,B,A)).
% 6.17/6.35 Following clause subsumed by 6965 during input processing: 0 [copy,10600,flip.1] {-} hAPP(hAPP(c_Nitpick_Oint__gcd,A),B)=hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),c_Nitpick_Onat__gcd(hAPP(c_Int_Onat,hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),A)),hAPP(c_Int_Onat,hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),B)))).
% 6.17/6.38 Following clause subsumed by 7018 during input processing: 0 [copy,10603,flip.1] {-} hAPP(hAPP(c_Equiv__Relations_Oquotient(A),B),C)=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,tc_fun(tc_fun(A,tc_HOL_Obool),tc_HOL_Obool)),B),hAPP(hAPP(c_COMBC(A,tc_fun(tc_fun(A,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(A,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(A,tc_HOL_Obool),tc_fun(tc_fun(tc_fun(A,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(A,tc_HOL_Obool),tc_HOL_Obool)),A),c_Set_Oinsert(tc_fun(A,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool),A),c_Relation_OImage(A,A,C)),hAPP(hAPP(c_COMBC(A,tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),c_Set_Oinsert(A)),hAPP(c_COMBK(tc_HOL_Obool,A),c_fFalse))))),hAPP(c_COMBK(tc_HOL_Obool,tc_fun(A,tc_HOL_Obool)),c_fFalse))).
% 6.17/6.38 Following clause subsumed by 7022 during input processing: 0 [copy,10605,flip.1] {-} hAPP(c_Relation_OImage(A,B,C),D)=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,tc_fun(B,tc_HOL_Obool)),D),hAPP(hAPP(c_COMBB(tc_fun(A,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool),A),c_Relation_OImage(A,B,C)),hAPP(hAPP(c_COMBC(A,tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),c_Set_Oinsert(A)),hAPP(c_COMBK(tc_HOL_Obool,A),c_fFalse)))).
% 6.17/6.38 Following clause subsumed by 7025 during input processing: 0 [copy,10606,flip.1] {-} hAPP(c_Relation_OImage(A,B,C),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(D,tc_fun(A,tc_HOL_Obool)),E),F))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(D,tc_fun(B,tc_HOL_Obool)),E),hAPP(hAPP(c_COMBB(tc_fun(A,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool),D),c_Relation_OImage(A,B,C)),F)).
% 6.17/6.38 Following clause subsumed by 7027 during input processing: 0 [copy,10607,flip.1] {-} hAPP(c_Relation_OImage(A,B,C),hAPP(c_COMBK(tc_HOL_Obool,A),c_fFalse))=hAPP(c_COMBK(tc_HOL_Obool,B),c_fFalse).
% 6.17/6.38 Following clause subsumed by 7029 during input processing: 0 [copy,10608,flip.1] {-} hAPP(c_Relation_OImage(A,B,hAPP(hAPP(c_COMBS(tc_prod(A,B),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_prod(A,B)),c_fdisj),C)),D)),E)=hAPP(hAPP(c_COMBS(B,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),B),c_fdisj),hAPP(c_Relation_OImage(A,B,C),E))),hAPP(c_Relation_OImage(A,B,D),E)).
% 6.17/6.38 Following clause subsumed by 7031 during input processing: 0 [copy,10609,flip.1] {-} hAPP(c_Relation_OImage(A,B,C),hAPP(hAPP(c_COMBS(A,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),A),c_fdisj),D)),E))=hAPP(hAPP(c_COMBS(B,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),B),c_fdisj),hAPP(c_Relation_OImage(A,B,C),D))),hAPP(c_Relation_OImage(A,B,C),E)).
% 6.17/6.38 10609 back subsumes 10232.
% 6.17/6.38 Following clause subsumed by 10406 during input processing: 0 [copy,10702,flip.1] {-} hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_HOL_Obool,tc_Nat_Onat),A),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)))=hAPP(c_Relation_OImage(tc_Int_Oint,tc_Int_Oint,c_Relation_OId__on(tc_Int_Oint,hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls))),A).
% 6.17/6.38 10842 back subsumes 9776.
% 6.17/6.38 10965 back subsumes 10644.
% 6.17/6.38 11008 back subsumes 9599.
% 6.17/6.38 Following clause subsumed by 10557 during input processing: 0 [copy,11022,flip.1] {-} hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Com_Ocom_Ocom__size(A)),c_Com_Ocom_Ocom__size(B)))=c_Com_Ocom_Ocom__size(c_Com_Ocom_OCond(C,A,B)).
% 6.17/6.38 Following clause subsumed by 10512 during input processing: 0 [copy,11023,flip.1] {-} hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(A,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,B,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),C),B))),D)=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(A,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(c_Int_Onat,c_Int_OPls),C)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(A,tc_HOL_Obool),tc_Nat_Onat),D),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),B))).
% 6.17/6.38 Following clause subsumed by 7166 during input processing: 0 [copy,11053,flip.1] {-} hAPP(c_Nat_Onat_Onat__rec(A,B,C),hAPP(c_Nat_OSuc,D))=hAPP(hAPP(C,D),hAPP(c_Nat_Onat_Onat__rec(A,B,C),D)).
% 6.17/6.40 11068 back subsumes 10743.
% 6.17/6.40 11068 back subsumes 10742.
% 6.17/6.40 Following clause subsumed by 7177 during input processing: 0 [copy,11083,flip.1] {-} hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B),B)))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),B))).
% 6.17/6.40 Following clause subsumed by 7179 during input processing: 0 [copy,11084,flip.1] {-} hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),A)),B)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B),B)).
% 6.17/6.40 Following clause subsumed by 7181 during input processing: 0 [copy,11085,flip.1] {-} hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),A)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B),B))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),A),B)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),A),B)).
% 6.17/6.40 Following clause subsumed by 7205 during input processing: 0 [copy,11091,flip.1] {-} hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),A))=hAPP(hAPP(c_HOL_OLet(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Int_Onat,A)),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_COMBI(tc_Nat_Onat))).
% 6.17/6.40 Following clause subsumed by 7238 during input processing: 0 [copy,11094,flip.1] {-} hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls)))),A)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),A),A).
% 6.17/6.40 Following clause subsumed by 11411 during input processing: 0 [copy,11116,flip.1] {-} c_Int_Oint__ge__less__than2(A)=hAPP(c_Product__Type_Ointernal__split(tc_Int_Oint,tc_Int_Oint,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_HOL_Obool),tc_fun(tc_Int_Oint,tc_HOL_Obool),tc_Int_Oint),hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),A)))),c_Orderings_Oord__class_Oless(tc_Int_Oint))).
% 6.17/6.40 Following clause subsumed by 11410 during input processing: 0 [copy,11117,flip.1] {-} c_Int_Oint__ge__less__than(A)=hAPP(c_Product__Type_Ointernal__split(tc_Int_Oint,tc_Int_Oint,tc_HOL_Obool),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_HOL_Obool),tc_fun(tc_Int_Oint,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(tc_Int_Oint,tc_HOL_Obool),tc_fun(tc_Int_Oint,tc_HOL_Obool)),tc_Int_Oint),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),A)))),c_Orderings_Oord__class_Oless(tc_Int_Oint))).
% 6.17/6.40 Following clause subsumed by 8160 during input processing: 0 [copy,11121,flip.1] {-} hAPP(hAPP(c_Product__Type_Ointernal__split(A,B,C),D),hAPP(hAPP(c_Product__Type_OPair(A,B),E),F))=hAPP(hAPP(D,E),F).
% 6.17/6.40 Following clause subsumed by 7366 during input processing: 0 [copy,11124,flip.1] {-} c_Divides_OposDivAlg(c_Int_OPls,A)=hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Int_OPls),c_Int_OPls).
% 6.17/6.40 Following clause subsumed by 7374 during input processing: 0 [copy,11125,flip.1] {-} hAPP(c_Product__Type_Oapsnd(A,B,C,D),hAPP(hAPP(c_Product__Type_OPair(C,A),E),F))=hAPP(hAPP(c_Product__Type_OPair(C,B),E),hAPP(D,F)).
% 6.17/6.40 Following clause subsumed by 7387 during input processing: 0 [copy,11126,flip.1] {-} c_Divides_Opdivmod(A,B)=c_Divides_Odivmod__int(hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),A),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),B)).
% 6.17/6.40 Following clause subsumed by 7401 during input processing: 0 [copy,11127,flip.1] {-} hAPP(c_Product__Type_Osnd(A,B),hAPP(c_Product__Type_Oapsnd(C,B,A,D),E))=hAPP(D,hAPP(c_Product__Type_Osnd(A,C),E)).
% 6.17/6.41 Following clause subsumed by 7422 during input processing: 0 [copy,11128,flip.1] {-} hAPP(c_Product__Type_Ofst(A,B),hAPP(c_Product__Type_Oapsnd(C,B,A,D),E))=hAPP(c_Product__Type_Ofst(A,C),E).
% 6.17/6.41 Following clause subsumed by 11398 during input processing: 0 [copy,11129,flip.1] {-} hAPP(hAPP(c_Product__Type_Ointernal__split(A,B,C),D),E)=hAPP(hAPP(D,hAPP(c_Product__Type_Ofst(A,B),E)),hAPP(c_Product__Type_Osnd(A,B),E)).
% 6.17/6.41 Following clause subsumed by 10599 during input processing: 0 [copy,11137,flip.1] {-} hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),A),c_Divides_Odiv__class_Omod(tc_Int_Oint,A,B))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),B),hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_Odivmod__int(A,B))).
% 6.17/6.41 Following clause subsumed by 10590 during input processing: 0 [copy,11163,flip.1] {-} hAPP(c_Product__Type_Ofst(tc_Nat_Onat,tc_Nat_Onat),c_Divides_Odivmod__nat(hAPP(c_Product__Type_Ofst(tc_Nat_Onat,tc_Nat_Onat),c_Divides_Odivmod__nat(A,B)),C))=hAPP(c_Product__Type_Ofst(tc_Nat_Onat,tc_Nat_Onat),c_Divides_Odivmod__nat(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),B),C))).
% 6.17/6.41 Following clause subsumed by 7461 during input processing: 0 [copy,11171,flip.1] {-} c_Product__Type_Oprod_Oprod__rec(A,B,C,D,hAPP(hAPP(c_Product__Type_OPair(A,B),E),F))=hAPP(hAPP(D,E),F).
% 6.17/6.41 Following clause subsumed by 7469 during input processing: 0 [copy,11172,flip.1] {-} hAPP(c_Product__Type_Oapsnd(A,B,C,D),hAPP(c_Product__Type_Oapfst(E,C,A,F),G))=hAPP(hAPP(c_Product__Type_OPair(C,B),hAPP(F,hAPP(c_Product__Type_Ofst(E,A),G))),hAPP(D,hAPP(c_Product__Type_Osnd(E,A),G))).
% 6.17/6.41 Following clause subsumed by 7470 during input processing: 0 [copy,11173,flip.1] {-} hAPP(c_Product__Type_Oapfst(A,B,C,D),hAPP(c_Product__Type_Oapsnd(E,C,A,F),G))=hAPP(hAPP(c_Product__Type_OPair(B,C),hAPP(D,hAPP(c_Product__Type_Ofst(A,E),G))),hAPP(F,hAPP(c_Product__Type_Osnd(A,E),G))).
% 6.17/6.41 Following clause subsumed by 7471 during input processing: 0 [copy,11174,flip.1] {-} hAPP(c_Product__Type_Oapfst(A,B,C,D),hAPP(hAPP(c_Product__Type_OPair(A,C),E),F))=hAPP(hAPP(c_Product__Type_OPair(B,C),hAPP(D,E)),F).
% 6.17/6.41 Following clause subsumed by 7472 during input processing: 0 [copy,11175,flip.1] {-} hAPP(c_Product__Type_Ofst(A,B),hAPP(c_Product__Type_Oapfst(C,A,B,D),E))=hAPP(D,hAPP(c_Product__Type_Ofst(C,B),E)).
% 6.17/6.41 Following clause subsumed by 7473 during input processing: 0 [copy,11176,flip.1] {-} hAPP(c_Product__Type_Osnd(A,B),hAPP(c_Product__Type_Oapfst(C,A,B,D),E))=hAPP(c_Product__Type_Osnd(C,B),E).
% 6.17/6.41 Following clause subsumed by 7474 during input processing: 0 [copy,11177,flip.1] {-} hAPP(c_Product__Type_Oapsnd(A,B,C,D),hAPP(c_Product__Type_Oapfst(E,C,A,F),G))=hAPP(c_Product__Type_Oapfst(E,C,B,F),hAPP(c_Product__Type_Oapsnd(A,B,E,D),G)).
% 6.17/6.41 Following clause subsumed by 10534 during input processing: 0 [copy,11196,flip.1] {-} hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,B)),hAPP(c_Set_Oimage(C,A,D),hAPP(c_COMBK(tc_HOL_Obool,C),c_fTrue)))=hAPP(c_Set_Oimage(C,A,D),hAPP(c_Set_Ovimage(C,A,D),B)).
% 6.17/6.41 Following clause subsumed by 11537 during input processing: 0 [copy,11212,flip.1] {-} c_Code__Numeral_Ocode__numeral_Ocode__numeral__case(A,B,C,hAPP(c_Code__Numeral_Oof__nat,hAPP(c_Nat_OSuc,hAPP(c_Code__Numeral_Onat__of,D))))=hAPP(C,D).
% 6.17/6.41 Following clause subsumed by 7558 during input processing: 0 [copy,11213,flip.1] {-} hAPP(hAPP(c_Relation_Orel__comp(A,B,C),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(D,tc_fun(tc_prod(A,B),tc_HOL_Obool)),E),F)),G)=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(D,tc_fun(tc_prod(A,C),tc_HOL_Obool)),E),hAPP(hAPP(c_COMBC(D,tc_fun(tc_prod(B,C),tc_HOL_Obool),tc_fun(tc_prod(A,C),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(A,B),tc_HOL_Obool),tc_fun(tc_fun(tc_prod(B,C),tc_HOL_Obool),tc_fun(tc_prod(A,C),tc_HOL_Obool)),D),c_Relation_Orel__comp(A,B,C)),F)),G)).
% 6.17/6.41 Following clause subsumed by 7559 during input processing: 0 [copy,11214,flip.1] {-} hAPP(hAPP(c_Relation_Orel__comp(A,B,C),D),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(E,tc_fun(tc_prod(B,C),tc_HOL_Obool)),F),G))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(E,tc_fun(tc_prod(A,C),tc_HOL_Obool)),F),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(B,C),tc_HOL_Obool),tc_fun(tc_prod(A,C),tc_HOL_Obool),E),hAPP(c_Relation_Orel__comp(A,B,C),D)),G)).
% 6.17/6.41 Following clause subsumed by 7561 during input processing: 0 [copy,11215,flip.1] {-} hAPP(hAPP(c_Relation_Orel__comp(A,B,C),D),hAPP(c_COMBK(tc_HOL_Obool,tc_prod(B,C)),c_fFalse))=hAPP(c_COMBK(tc_HOL_Obool,tc_prod(A,C)),c_fFalse).
% 6.17/6.41 Following clause subsumed by 7563 during input processing: 0 [copy,11216,flip.1] {-} hAPP(hAPP(c_Relation_Orel__comp(A,B,C),hAPP(c_COMBK(tc_HOL_Obool,tc_prod(A,B)),c_fFalse)),D)=hAPP(c_COMBK(tc_HOL_Obool,tc_prod(A,C)),c_fFalse).
% 6.17/6.41 Following clause subsumed by 7565 during input processing: 0 [copy,11217,flip.1] {-} hAPP(hAPP(c_Relation_Orel__comp(A,B,C),hAPP(hAPP(c_COMBS(tc_prod(A,B),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_prod(A,B)),c_fdisj),D)),E)),F)=hAPP(hAPP(c_COMBS(tc_prod(A,C),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_prod(A,C)),c_fdisj),hAPP(hAPP(c_Relation_Orel__comp(A,B,C),D),F))),hAPP(hAPP(c_Relation_Orel__comp(A,B,C),E),F)).
% 6.17/6.41 Following clause subsumed by 7567 during input processing: 0 [copy,11218,flip.1] {-} hAPP(hAPP(c_Relation_Orel__comp(A,B,C),D),hAPP(hAPP(c_COMBS(tc_prod(B,C),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_prod(B,C)),c_fdisj),E)),F))=hAPP(hAPP(c_COMBS(tc_prod(A,C),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_prod(A,C)),c_fdisj),hAPP(hAPP(c_Relation_Orel__comp(A,B,C),D),E))),hAPP(hAPP(c_Relation_Orel__comp(A,B,C),D),F)).
% 6.17/6.41 Following clause subsumed by 7568 during input processing: 0 [copy,11219,flip.1] {-} hAPP(hAPP(c_Relation_Orel__comp(A,B,C),hAPP(hAPP(c_Relation_Orel__comp(A,D,B),E),F)),G)=hAPP(hAPP(c_Relation_Orel__comp(A,D,C),E),hAPP(hAPP(c_Relation_Orel__comp(D,B,C),F),G)).
% 6.17/6.41 Following clause subsumed by 7592 during input processing: 0 [copy,11220,flip.1] {-} hAPP(c_List_Olexn(A,B),hAPP(c_Int_Onat,c_Int_OPls))=c_Relation_OId__on(tc_List_Olist(A),hAPP(c_COMBK(tc_HOL_Obool,tc_List_Olist(A)),c_fFalse)).
% 6.17/6.41 Following clause subsumed by 7643 during input processing: 0 [copy,11222,flip.1] {-} hAPP(c_Relation_OField(A),B)=hAPP(hAPP(c_COMBS(A,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),A),c_fdisj),hAPP(c_Relation_ODomain(A,A),B))),hAPP(c_Relation_ORange(A,A),B)).
% 6.17/6.41 Following clause subsumed by 7648 during input processing: 0 [copy,11225,flip.1] {-} hAPP(c_Set_Oimage(A,tc_prod(B,C),hAPP(hAPP(c_COMBS(A,C,tc_prod(B,C)),hAPP(hAPP(c_COMBB(B,tc_fun(C,tc_prod(B,C)),A),c_Product__Type_OPair(B,C)),D)),E)),F)=hAPP(hAPP(c_Product__Type_OSigma(B,C),hAPP(c_Set_Oimage(A,B,D),F)),hAPP(hAPP(c_COMBB(tc_fun(A,tc_HOL_Obool),tc_fun(C,tc_HOL_Obool),B),c_Set_Oimage(A,C,E)),hAPP(hAPP(c_COMBC(B,tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(A,tc_HOL_Obool),tc_fun(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),B),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(A,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(B,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool),B),c_Set_Ovimage(A,B,D)),hAPP(hAPP(c_COMBC(B,tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool)),c_Set_Oinsert(B)),hAPP(c_COMBK(tc_HOL_Obool,B),c_fFalse))))),F))).
% 6.17/6.41 Following clause subsumed by 7650 during input processing: 0 [copy,11226,flip.1] {-} hAPP(hAPP(c_Product__Type_OSigma(A,B),hAPP(c_COMBK(tc_HOL_Obool,A),c_fFalse)),C)=hAPP(c_COMBK(tc_HOL_Obool,tc_prod(A,B)),c_fFalse).
% 6.17/6.41 Following clause subsumed by 11249 during input processing: 0 [copy,11228,flip.1] {-} c_Nitpick_Oprod(A,B,C,hAPP(c_COMBK(tc_HOL_Obool,B),c_fFalse))=hAPP(c_COMBK(tc_HOL_Obool,tc_prod(A,B)),c_fFalse).
% 6.17/6.41 Following clause subsumed by 7660 during input processing: 0 [copy,11231,flip.1] {-} hAPP(hAPP(c_Product__Type_OSigma(A,B),hAPP(hAPP(c_COMBS(A,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),A),c_fdisj),C)),D)),E)=hAPP(hAPP(c_COMBS(tc_prod(A,B),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_prod(A,B)),c_fdisj),hAPP(hAPP(c_Product__Type_OSigma(A,B),C),E))),hAPP(hAPP(c_Product__Type_OSigma(A,B),D),E)).
% 6.17/6.41 Following clause subsumed by 7662 during input processing: 0 [copy,11232,flip.1] {-} hAPP(hAPP(c_Product__Type_OSigma(A,B),C),hAPP(hAPP(c_COMBS(A,tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(B,tc_HOL_Obool),tc_fun(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool)),A),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(B,tc_HOL_Obool))),D)),E))=hAPP(hAPP(c_COMBS(tc_prod(A,B),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_prod(A,B)),c_fdisj),hAPP(hAPP(c_Product__Type_OSigma(A,B),C),D))),hAPP(hAPP(c_Product__Type_OSigma(A,B),C),E)).
% 6.17/6.41 Following clause subsumed by 7665 during input processing: 0 [copy,11235,flip.1] {-} hAPP(hAPP(c_Product__Type_OSigma(A,B),C),hAPP(hAPP(c_COMBS(A,tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(B,tc_HOL_Obool),tc_fun(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool)),A),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(B,tc_HOL_Obool))),D)),E))=hAPP(c_Relation_OImage(tc_prod(A,B),tc_prod(A,B),c_Relation_OId__on(tc_prod(A,B),hAPP(hAPP(c_Product__Type_OSigma(A,B),C),D))),hAPP(hAPP(c_Product__Type_OSigma(A,B),C),E)).
% 6.17/6.41 Following clause subsumed by 7669 during input processing: 0 [copy,11238,flip.1] {-} hAPP(hAPP(c_Product__Type_OSigma(A,B),hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,C)),D)),E)=hAPP(c_Relation_OImage(tc_prod(A,B),tc_prod(A,B),c_Relation_OId__on(tc_prod(A,B),hAPP(hAPP(c_Product__Type_OSigma(A,B),C),E))),hAPP(hAPP(c_Product__Type_OSigma(A,B),D),E)).
% 6.17/6.41 Following clause subsumed by 7672 during input processing: 0 [copy,11239,flip.1] {-} hAPP(hAPP(c_Product__Type_OSigma(A,B),hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,C)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),D))),E)=hAPP(c_Relation_OImage(tc_prod(A,B),tc_prod(A,B),c_Relation_OId__on(tc_prod(A,B),hAPP(hAPP(c_Product__Type_OSigma(A,B),C),E))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(A,B)),c_fNot),hAPP(hAPP(c_Product__Type_OSigma(A,B),D),E))).
% 6.17/6.41 Following clause subsumed by 7674 during input processing: 0 [copy,11240,flip.1] {-} hAPP(hAPP(c_Product__Type_OSigma(A,B),C),hAPP(hAPP(c_COMBS(A,tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(B,tc_HOL_Obool),tc_fun(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool)),A),c_Groups_Ominus__class_Ominus(tc_fun(B,tc_HOL_Obool))),D)),E))=hAPP(c_Relation_OImage(tc_prod(A,B),tc_prod(A,B),c_Relation_OId__on(tc_prod(A,B),hAPP(hAPP(c_Product__Type_OSigma(A,B),C),D))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(A,B)),c_fNot),hAPP(hAPP(c_Product__Type_OSigma(A,B),C),E))).
% 6.17/6.41 Following clause subsumed by 11228 during input processing: 0 [copy,11249,flip.1] {-} hAPP(c_COMBK(tc_HOL_Obool,tc_prod(A,B)),c_fFalse)=c_Nitpick_Oprod(A,B,C,hAPP(c_COMBK(tc_HOL_Obool,B),c_fFalse)).
% 6.17/6.41 11251 back subsumes 10435.
% 6.17/6.41 11252 back subsumes 10436.
% 6.17/6.41 11270 back subsumes 10509.
% 6.17/6.41 Following clause subsumed by 7712 during input processing: 0 [copy,11277,flip.1] {-} c_Product__Type_Oapfst(A,A,B,c_Fun_Oid(A))=c_Product__Type_Oapsnd(B,B,A,c_Fun_Oid(B)).
% 6.17/6.41 Following clause subsumed by 11386 during input processing: 0 [copy,11278,flip.1] {-} hAPP(c_Product__Type_Ointernal__split(A,B,tc_prod(A,B)),c_Product__Type_OPair(A,B))=c_Product__Type_Oapsnd(B,B,A,c_Fun_Oid(B)).
% 6.17/6.41 Following clause subsumed by 7717 during input processing: 0 [copy,11279,flip.1] {-} hAPP(c_Product__Type_Omap__pair(A,B,C,D,E,F),hAPP(hAPP(c_Product__Type_OPair(A,C),G),H))=hAPP(hAPP(c_Product__Type_OPair(B,D),hAPP(E,G)),hAPP(F,H)).
% 6.17/6.41 Following clause subsumed by 7720 during input processing: 0 [copy,11280,flip.1] {-} hAPP(c_Product__Type_Osnd(A,B),hAPP(c_Product__Type_Omap__pair(C,A,D,B,E,F),G))=hAPP(F,hAPP(c_Product__Type_Osnd(C,D),G)).
% 6.17/6.41 Following clause subsumed by 7721 during input processing: 0 [copy,11281,flip.1] {-} hAPP(c_Product__Type_Ofst(A,B),hAPP(c_Product__Type_Omap__pair(C,A,D,B,E,F),G))=hAPP(E,hAPP(c_Product__Type_Ofst(C,D),G)).
% 6.17/6.42 Following clause subsumed by 7723 during input processing: 0 [copy,11282,flip.1] {-} c_Product__Type_Omap__pair(A,A,B,B,c_COMBI(A),c_COMBI(B))=c_Product__Type_Oapsnd(B,B,A,c_Fun_Oid(B)).
% 6.17/6.42 Following clause subsumed by 7724 during input processing: 0 [copy,11283,flip.1] {-} c_Product__Type_Oapsnd(A,B,C,D)=c_Product__Type_Omap__pair(C,C,A,B,c_Fun_Oid(C),D).
% 6.17/6.42 11283 back subsumes 7727.
% 6.17/6.42 Following clause subsumed by 7725 during input processing: 0 [copy,11284,flip.1] {-} c_Product__Type_Oapfst(A,B,C,D)=c_Product__Type_Omap__pair(A,B,C,C,D,c_Fun_Oid(C)).
% 6.17/6.42 Following clause subsumed by 7754 during input processing: 0 [copy,11285,flip.1] {-} hAPP(c_Product__Type_Oapsnd(A,B,C,D),hAPP(c_Product__Type_Oapsnd(E,A,C,F),G))=hAPP(c_Product__Type_Oapsnd(E,B,C,hAPP(c_Fun_Ocomp(A,B,E,D),F)),G).
% 6.17/6.42 Following clause subsumed by 7766 during input processing: 0 [copy,11289,flip.1] {-} hAPP(c_Fun_Ocomp(A,B,C,D),hAPP(c_Fun_Ocomp(E,A,C,F),G))=hAPP(c_Fun_Ocomp(E,B,C,hAPP(c_Fun_Ocomp(A,B,E,D),F)),G).
% 6.17/6.42 Following clause subsumed by 7767 during input processing: 0 [copy,11290,flip.1] {-} hAPP(c_Product__Type_Oapfst(A,B,C,D),hAPP(c_Product__Type_Oapfst(E,A,C,F),G))=hAPP(c_Product__Type_Oapfst(E,B,C,hAPP(c_Fun_Ocomp(A,B,E,D),F)),G).
% 6.17/6.42 Following clause subsumed by 7770 during input processing: 0 [copy,11291,flip.1] {-} hAPP(c_Product__Type_Omap__pair(A,B,C,D,E,F),hAPP(c_Product__Type_Omap__pair(G,A,H,C,I,J),K))=hAPP(c_Product__Type_Omap__pair(G,B,H,D,hAPP(c_Fun_Ocomp(A,B,G,E),I),hAPP(c_Fun_Ocomp(C,D,H,F),J)),K).
% 6.17/6.42 Following clause subsumed by 7776 during input processing: 0 [copy,11293,flip.1] {-} hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,tc_fun(B,tc_HOL_Obool)),C),hAPP(c_Fun_Ocomp(D,tc_fun(B,tc_HOL_Obool),A,E),F))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(D,tc_fun(B,tc_HOL_Obool)),hAPP(c_Set_Oimage(A,D,F),C)),E).
% 6.17/6.42 Following clause subsumed by 7777 during input processing: 0 [copy,11294,flip.1] {-} hAPP(c_Fun_Ocomp(tc_prod(A,B),A,tc_prod(C,D),c_Product__Type_Ofst(A,B)),c_Product__Type_Omap__pair(C,A,D,B,E,F))=hAPP(c_Fun_Ocomp(C,A,tc_prod(C,D),E),c_Product__Type_Ofst(C,D)).
% 6.17/6.42 Following clause subsumed by 7778 during input processing: 0 [copy,11295,flip.1] {-} hAPP(c_Fun_Ocomp(tc_prod(A,B),B,tc_prod(C,D),c_Product__Type_Osnd(A,B)),c_Product__Type_Omap__pair(C,A,D,B,E,F))=hAPP(c_Fun_Ocomp(D,B,tc_prod(C,D),F),c_Product__Type_Osnd(C,D)).
% 6.17/6.42 Following clause subsumed by 11382 during input processing: 0 [copy,11296,flip.1] {-} hAPP(hAPP(c_Product__Type_Ointernal__split(A,B,C),hAPP(c_Fun_Ocomp(D,tc_fun(B,C),A,E),F)),G)=hAPP(hAPP(E,hAPP(F,hAPP(c_Product__Type_Ofst(A,B),G))),hAPP(c_Product__Type_Osnd(A,B),G)).
% 6.17/6.42 Following clause subsumed by 11129 during input processing: 0 [copy,11301,flip.1] {-} hAPP(hAPP(A,hAPP(c_Product__Type_Ofst(B,C),hAPP(D,E))),hAPP(c_Product__Type_Osnd(B,C),hAPP(D,E)))=hAPP(hAPP(c_Product__Type_Ointernal__split(B,C,F),A),hAPP(D,E)).
% 6.17/6.42 Following clause subsumed by 7790 during input processing: 0 [copy,11302,flip.1] {-} hAPP(hAPP(c_Product__Type_Oscomp(A,B,A,C),hAPP(c_Product__Type_OPair(B,A),D)),E)=hAPP(E,D).
% 6.17/6.42 Following clause subsumed by 7791 during input processing: 0 [copy,11303,flip.1] {-} hAPP(hAPP(c_Product__Type_Oscomp(A,B,C,D),hAPP(hAPP(c_Product__Type_Oscomp(A,E,F,tc_prod(B,C)),G),H)),I)=hAPP(hAPP(c_Product__Type_Oscomp(A,E,F,D),G),hAPP(hAPP(c_COMBC(E,tc_fun(B,tc_fun(C,D)),tc_fun(F,D)),hAPP(hAPP(c_COMBB(tc_fun(F,tc_prod(B,C)),tc_fun(tc_fun(B,tc_fun(C,D)),tc_fun(F,D)),E),c_Product__Type_Oscomp(F,B,C,D)),H)),I)).
% 6.17/6.42 Following clause subsumed by 7893 during input processing: 0 [copy,11318,flip.1] {-} hAPP(c_Relation_Oconverse(A,B),hAPP(hAPP(c_COMBS(tc_prod(A,B),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_prod(A,B)),c_fdisj),C)),D))=hAPP(hAPP(c_COMBS(tc_prod(B,A),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_prod(B,A)),c_fdisj),hAPP(c_Relation_Oconverse(A,B),C))),hAPP(c_Relation_Oconverse(A,B),D)).
% 6.17/6.42 Following clause subsumed by 7897 during input processing: 0 [copy,11319,flip.1] {-} hAPP(c_Relation_Oconverse(A,B),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,tc_fun(tc_prod(A,B),tc_HOL_Obool)),D),E))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,tc_fun(tc_prod(B,A),tc_HOL_Obool)),D),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(A,B),tc_HOL_Obool),tc_fun(tc_prod(B,A),tc_HOL_Obool),C),c_Relation_Oconverse(A,B)),E)).
% 6.17/6.42 Following clause subsumed by 7898 during input processing: 0 [copy,11320,flip.1] {-} hAPP(c_Relation_Oconverse(A,B),hAPP(hAPP(c_Relation_Orel__comp(A,C,B),D),E))=hAPP(hAPP(c_Relation_Orel__comp(B,C,A),hAPP(c_Relation_Oconverse(C,B),E)),hAPP(c_Relation_Oconverse(A,C),D)).
% 6.17/6.42 Following clause subsumed by 7907 during input processing: 0 [copy,11321,flip.1] {-} hAPP(c_Relation_Oconverse(A,B),hAPP(c_Relation_OImage(tc_prod(A,B),tc_prod(A,B),c_Relation_OId__on(tc_prod(A,B),C)),D))=hAPP(c_Relation_OImage(tc_prod(B,A),tc_prod(B,A),c_Relation_OId__on(tc_prod(B,A),hAPP(c_Relation_Oconverse(A,B),C))),hAPP(c_Relation_Oconverse(A,B),D)).
% 6.17/6.42 Following clause subsumed by 7937 during input processing: 0 [copy,11322,flip.1] {-} hAPP(hAPP(c_Nat_Ocompow(tc_prod(A,A),tc_HOL_Obool),hAPP(c_Nat_OSuc,B)),C)=hAPP(hAPP(c_Relation_Orel__comp(A,A,A),C),hAPP(hAPP(c_Nat_Ocompow(tc_prod(A,A),tc_HOL_Obool),B),C)).
% 6.17/6.42 Following clause subsumed by 7938 during input processing: 0 [copy,11323,flip.1] {-} hAPP(hAPP(c_Nat_Ocompow(tc_prod(A,A),tc_HOL_Obool),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B),C)),D)=hAPP(hAPP(c_Relation_Orel__comp(A,A,A),hAPP(hAPP(c_Nat_Ocompow(tc_prod(A,A),tc_HOL_Obool),B),D)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(A,A),tc_HOL_Obool),C),D)).
% 6.17/6.42 Following clause subsumed by 7942 during input processing: 0 [copy,11324,flip.1] {-} hAPP(hAPP(c_Nat_Ocompow(A,A),hAPP(c_Nat_OSuc,B)),C)=hAPP(c_Fun_Ocomp(A,A,A,C),hAPP(hAPP(c_Nat_Ocompow(A,A),B),C)).
% 6.17/6.42 Following clause subsumed by 7943 during input processing: 0 [copy,11325,flip.1] {-} hAPP(hAPP(c_Nat_Ocompow(A,A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B),C)),D)=hAPP(c_Fun_Ocomp(A,A,A,hAPP(hAPP(c_Nat_Ocompow(A,A),B),D)),hAPP(hAPP(c_Nat_Ocompow(A,A),C),D)).
% 6.17/6.42 Following clause subsumed by 7945 during input processing: 0 [copy,11326,flip.1] {-} hAPP(hAPP(c_Nat_Ocompow(A,A),hAPP(c_Int_Onat,c_Int_OPls)),B)=c_Fun_Oid(A).
% 6.17/6.42 Following clause subsumed by 7969 during input processing: 0 [copy,11355,flip.1] {-} hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(B,tc_fun(A,tc_HOL_Obool)),C),D))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(B,tc_fun(A,tc_HOL_Obool)),C),hAPP(hAPP(c_COMBB(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool),B),c_Groups_Ouminus__class_Ouminus(tc_fun(A,tc_HOL_Obool))),D)).
% 6.17/6.42 Following clause subsumed by 7976 during input processing: 0 [copy,11356,flip.1] {-} hAPP(c_Relation_Oconverse(A,B),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(C,tc_fun(tc_prod(A,B),tc_HOL_Obool)),D),E))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(C,tc_fun(tc_prod(B,A),tc_HOL_Obool)),D),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(A,B),tc_HOL_Obool),tc_fun(tc_prod(B,A),tc_HOL_Obool),C),c_Relation_Oconverse(A,B)),E)).
% 6.17/6.42 Following clause subsumed by 7989 during input processing: 0 [copy,11358,flip.1] {-} hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,tc_fun(B,tc_HOL_Obool)),C),hAPP(hAPP(c_COMBS(A,tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(B,tc_HOL_Obool),tc_fun(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool)),A),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(B,tc_HOL_Obool))),D)),E))=hAPP(c_Relation_OImage(B,B,c_Relation_OId__on(B,hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,tc_fun(B,tc_HOL_Obool)),C),D))),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,tc_fun(B,tc_HOL_Obool)),C),E)).
% 6.17/6.42 Following clause subsumed by 7991 during input processing: 0 [copy,11359,flip.1] {-} hAPP(hAPP(c_COMBC(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool),tc_HOL_Obool),c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool))),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(B,tc_fun(A,tc_HOL_Obool)),C),D))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(B,tc_fun(tc_fun(A,tc_HOL_Obool),tc_HOL_Obool)),C),hAPP(hAPP(c_COMBB(tc_fun(A,tc_HOL_Obool),tc_fun(tc_fun(A,tc_HOL_Obool),tc_HOL_Obool),B),c_Set_OPow(A)),D)).
% 6.17/6.42 Following clause subsumed by 7998 during input processing: 0 [copy,11360,flip.1] {-} hAPP(c_Set_Ovimage(A,B,C),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(D,tc_fun(B,tc_HOL_Obool)),E),F))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(D,tc_fun(A,tc_HOL_Obool)),E),hAPP(hAPP(c_COMBB(tc_fun(B,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool),D),c_Set_Ovimage(A,B,C)),F)).
% 6.17/6.42 Following clause subsumed by 8008 during input processing: 0 [copy,11361,flip.1] {-} hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,tc_fun(B,tc_HOL_Obool)),hAPP(hAPP(c_COMBS(A,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),A),c_fdisj),C)),D)),E)=hAPP(c_Relation_OImage(B,B,c_Relation_OId__on(B,hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,tc_fun(B,tc_HOL_Obool)),C),E))),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,tc_fun(B,tc_HOL_Obool)),D),E)).
% 6.17/6.42 Following clause subsumed by 8010 during input processing: 0 [copy,11362,flip.1] {-} hAPP(hAPP(c_COMBB(tc_fun(A,tc_HOL_Obool),tc_HOL_Obool,B),c_HOL_OAll(A)),hAPP(hAPP(c_COMBB(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool),B),hAPP(c_COMBS(A,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),A),c_fimplies),C))),D))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,tc_fun(B,tc_HOL_Obool)),C),hAPP(hAPP(c_COMBB(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool),A),c_Set_OCollect(B)),hAPP(c_COMBC(B,A,tc_HOL_Obool),D))).
% 6.17/6.42 Following clause subsumed by 8021 during input processing: 0 [copy,11363,flip.1] {-} hAPP(hAPP(c_COMBS(A,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),A),c_fdisj),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(B,tc_fun(A,tc_HOL_Obool)),C),D))),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(E,tc_fun(A,tc_HOL_Obool)),F),G))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(B,tc_fun(A,tc_HOL_Obool)),C),hAPP(hAPP(c_COMBB(tc_fun(E,tc_fun(A,tc_HOL_Obool)),tc_fun(A,tc_HOL_Obool),B),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(E,tc_fun(A,tc_HOL_Obool)),F)),hAPP(hAPP(c_COMBC(B,tc_fun(E,tc_fun(A,tc_HOL_Obool)),tc_fun(E,tc_fun(A,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),tc_fun(tc_fun(E,tc_fun(A,tc_HOL_Obool)),tc_fun(E,tc_fun(A,tc_HOL_Obool))),B),c_COMBB(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool),E)),hAPP(hAPP(c_COMBB(tc_fun(A,tc_HOL_Obool),tc_fun(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),B),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool))),D))),G))).
% 6.17/6.42 Following clause subsumed by 8024 during input processing: 0 [copy,11364,flip.1] {-} hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,tc_fun(B,tc_HOL_Obool)),C),D)=hAPP(hAPP(c_COMBB(tc_fun(A,tc_HOL_Obool),tc_HOL_Obool,B),c_HOL_OAll(A)),hAPP(hAPP(c_COMBB(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool),B),hAPP(c_COMBS(A,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),A),c_fimplies),C))),hAPP(hAPP(c_COMBC(B,tc_fun(A,tc_fun(B,tc_HOL_Obool)),tc_fun(A,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(B,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(A,tc_fun(B,tc_HOL_Obool)),tc_fun(A,tc_HOL_Obool)),B),c_COMBB(tc_fun(B,tc_HOL_Obool),tc_HOL_Obool,A)),c_member(B))),D))).
% 6.17/6.42 Following clause subsumed by 8048 during input processing: 0 [copy,11365,flip.1] {-} hAPP(hAPP(c_COMBS(A,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),A),c_fdisj),B)),c_Complete__Lattice_OInf__class_OInf(tc_fun(A,tc_HOL_Obool),C))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),C),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool)),B)).
% 6.17/6.42 Following clause subsumed by 8061 during input processing: 0 [copy,11366,flip.1] {-} hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,B)),c_Complete__Lattice_OSup__class_OSup(tc_fun(A,tc_HOL_Obool),C))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),C),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(A,tc_HOL_Obool)),B)).
% 6.17/6.42 Following clause subsumed by 8071 during input processing: 0 [copy,11367,flip.1] {-} hAPP(c_Set_Oimage(A,B,C),c_Complete__Lattice_OSup__class_OSup(tc_fun(A,tc_HOL_Obool),D))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(A,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool)),D),c_Set_Oimage(A,B,C)).
% 6.17/6.42 Following clause subsumed by 8075 during input processing: 0 [copy,11368,flip.1] {-} hAPP(c_Set_Ovimage(A,B,C),c_Complete__Lattice_OSup__class_OSup(tc_fun(B,tc_HOL_Obool),D))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(B,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),D),c_Set_Ovimage(A,B,C)).
% 6.17/6.42 Following clause subsumed by 8107 during input processing: 0 [copy,11370,flip.1] {-} hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,tc_fun(B,tc_HOL_Obool)),C),hAPP(hAPP(c_COMBS(A,tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(B,tc_HOL_Obool),tc_fun(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool)),A),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(B,tc_HOL_Obool))),D)),E))=hAPP(c_Relation_OImage(B,B,c_Relation_OId__on(B,c_Complete__Lattice_OInf__class_OInf(tc_fun(B,tc_HOL_Obool),hAPP(c_Set_Oimage(A,tc_fun(B,tc_HOL_Obool),D),C)))),c_Complete__Lattice_OInf__class_OInf(tc_fun(B,tc_HOL_Obool),hAPP(c_Set_Oimage(A,tc_fun(B,tc_HOL_Obool),E),C))).
% 6.17/6.42 Following clause subsumed by 8111 during input processing: 0 [copy,11372,flip.1] {-} hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,tc_fun(B,tc_HOL_Obool)),C),hAPP(hAPP(c_COMBS(A,tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(B,tc_HOL_Obool),tc_fun(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool)),A),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(B,tc_HOL_Obool))),D)),E))=hAPP(hAPP(c_COMBS(B,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),B),c_fdisj),c_Complete__Lattice_OSup__class_OSup(tc_fun(B,tc_HOL_Obool),hAPP(c_Set_Oimage(A,tc_fun(B,tc_HOL_Obool),D),C)))),c_Complete__Lattice_OSup__class_OSup(tc_fun(B,tc_HOL_Obool),hAPP(c_Set_Oimage(A,tc_fun(B,tc_HOL_Obool),E),C))).
% 6.17/6.42 Following clause subsumed by 11296 during input processing: 0 [copy,11382,flip.1] {-} hAPP(hAPP(A,hAPP(B,hAPP(c_Product__Type_Ofst(C,D),E))),hAPP(c_Product__Type_Osnd(C,D),E))=hAPP(hAPP(c_Product__Type_Ointernal__split(C,D,F),hAPP(c_Fun_Ocomp(G,tc_fun(D,F),C,A),B)),E).
% 6.17/6.42 Following clause subsumed by 11278 during input processing: 0 [copy,11386,flip.1] {-} c_Product__Type_Oapsnd(A,A,B,c_Fun_Oid(A))=hAPP(c_Product__Type_Ointernal__split(B,A,tc_prod(B,A)),c_Product__Type_OPair(B,A)).
% 6.17/6.42 Following clause subsumed by 11129 during input processing: 0 [copy,11398,flip.1] {-} hAPP(hAPP(A,hAPP(c_Product__Type_Ofst(B,C),D)),hAPP(c_Product__Type_Osnd(B,C),D))=hAPP(hAPP(c_Product__Type_Ointernal__split(B,C,E),A),D).
% 6.17/6.42 11398 back subsumes 11301.
% 6.17/6.42 Following clause subsumed by 11117 during input processing: 0 [copy,11410,flip.1] {-} hAPP(c_Product__Type_Ointernal__split(tc_Int_Oint,tc_Int_Oint,tc_HOL_Obool),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_HOL_Obool),tc_fun(tc_Int_Oint,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(tc_Int_Oint,tc_HOL_Obool),tc_fun(tc_Int_Oint,tc_HOL_Obool)),tc_Int_Oint),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),A)))),c_Orderings_Oord__class_Oless(tc_Int_Oint)))=c_Int_Oint__ge__less__than(A).
% 6.17/6.43 Following clause subsumed by 11116 during input processing: 0 [copy,11411,flip.1] {-} hAPP(c_Product__Type_Ointernal__split(tc_Int_Oint,tc_Int_Oint,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_HOL_Obool),tc_fun(tc_Int_Oint,tc_HOL_Obool),tc_Int_Oint),hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),A)))),c_Orderings_Oord__class_Oless(tc_Int_Oint)))=c_Int_Oint__ge__less__than2(A).
% 6.17/6.43 Following clause subsumed by 11905 during input processing: 0 [copy,11431,flip.1] {-} c_List_Olist_Olist__size(A,B,hAPP(hAPP(c_List_Olist_OCons(A),C),D))=hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(B,C)),c_List_Olist_Olist__size(A,B,D))).
% 6.17/6.43 Following clause subsumed by 8220 during input processing: 0 [copy,11457,flip.1] {-} c_List_Osublist(A,c_List_Osublist(A,B,hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(c_Int_Onat,c_Int_OPls)),C)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(c_Int_Onat,c_Int_OPls)),D))=c_List_Osublist(A,B,hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(c_Int_Onat,c_Int_OPls)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_Nat_Onat),D),C))).
% 6.17/6.43 Following clause subsumed by 8255 during input processing: 0 [copy,11459,flip.1] {-} c_List_Osublist(tc_prod(A,B),hAPP(hAPP(c_List_Ozip(A,B),C),D),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(c_Int_Onat,c_Int_OPls)),E))=hAPP(hAPP(c_List_Ozip(A,B),c_List_Osublist(A,C,hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(c_Int_Onat,c_Int_OPls)),E))),c_List_Osublist(B,D,hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(c_Int_Onat,c_Int_OPls)),E))).
% 6.17/6.43 Following clause subsumed by 8256 during input processing: 0 [copy,11460,flip.1] {-} hAPP(hAPP(c_List_Ozip(A,B),hAPP(hAPP(c_List_Olist_OCons(A),C),D)),hAPP(hAPP(c_List_Olist_OCons(B),E),F))=hAPP(hAPP(c_List_Olist_OCons(tc_prod(A,B)),hAPP(hAPP(c_Product__Type_OPair(A,B),C),E)),hAPP(hAPP(c_List_Ozip(A,B),D),F)).
% 6.17/6.43 Following clause subsumed by 8257 during input processing: 0 [copy,11461,flip.1] {-} hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(A))),c_Enum_On__lists(A,B,C))=hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(A)),C)),B).
% 6.17/6.43 Following clause subsumed by 8290 during input processing: 0 [copy,11467,flip.1] {-} hAPP(hAPP(c_List_Olist__update(A,hAPP(hAPP(c_List_Olist_OCons(A),B),C)),hAPP(c_Int_Onat,c_Int_OPls)),D)=hAPP(hAPP(c_List_Olist_OCons(A),D),C).
% 6.17/6.43 Following clause subsumed by 8291 during input processing: 0 [copy,11468,flip.1] {-} hAPP(hAPP(c_List_Olist__update(A,hAPP(hAPP(c_List_Olist_OCons(A),B),C)),D),E)=c_Nat_Onat_Onat__case(tc_List_Olist(A),hAPP(hAPP(c_List_Olist_OCons(A),E),C),hAPP(hAPP(c_COMBB(tc_List_Olist(A),tc_List_Olist(A),tc_Nat_Onat),hAPP(c_List_Olist_OCons(A),B)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,A,tc_List_Olist(A)),c_List_Olist__update(A,C)),E)),D).
% 6.17/6.43 Following clause subsumed by 8295 during input processing: 0 [copy,11469,flip.1] {-} hAPP(hAPP(c_List_Olist__update(tc_prod(A,B),hAPP(hAPP(c_List_Ozip(A,B),C),D)),E),F)=hAPP(hAPP(c_List_Ozip(A,B),hAPP(hAPP(c_List_Olist__update(A,C),E),hAPP(c_Product__Type_Ofst(A,B),F))),hAPP(hAPP(c_List_Olist__update(B,D),E),hAPP(c_Product__Type_Osnd(A,B),F))).
% 6.17/6.43 Following clause subsumed by 8296 during input processing: 0 [copy,11470,flip.1] {-} hAPP(hAPP(c_List_Ozip(A,B),hAPP(hAPP(c_List_Olist__update(A,C),D),E)),hAPP(hAPP(c_List_Olist__update(B,F),D),G))=hAPP(hAPP(c_List_Olist__update(tc_prod(A,B),hAPP(hAPP(c_List_Ozip(A,B),C),F)),D),hAPP(hAPP(c_Product__Type_OPair(A,B),E),G)).
% 6.17/6.43 Following clause subsumed by 8320 during input processing: 0 [copy,11471,flip.1] {-} c_List_Osublist(A,B,hAPP(c_COMBK(tc_HOL_Obool,tc_Nat_Onat),c_fFalse))=c_List_Olist_ONil(A).
% 6.17/6.43 Following clause subsumed by 8321 during input processing: 0 [copy,11472,flip.1] {-} hAPP(hAPP(c_List_Ozip(A,B),c_List_Olist_ONil(A)),C)=c_List_Olist_ONil(tc_prod(A,B)).
% 6.17/6.43 Following clause subsumed by 8322 during input processing: 0 [copy,11473,flip.1] {-} hAPP(hAPP(c_List_Ozip(A,B),C),c_List_Olist_ONil(B))=c_List_Olist_ONil(tc_prod(A,B)).
% 6.17/6.43 Following clause subsumed by 8329 during input processing: 0 [copy,11474,flip.1] {-} c_Enum_Oproduct(A,B,c_List_Olist_ONil(A),C)=c_List_Olist_ONil(tc_prod(A,B)).
% 6.17/6.43 Following clause subsumed by 8338 during input processing: 0 [copy,11475,flip.1] {-} c_Enum_On__lists(A,hAPP(c_Int_Onat,c_Int_OPls),B)=c_Enum_Osublists(A,c_List_Olist_ONil(A)).
% 6.17/6.43 Following clause subsumed by 8357 during input processing: 0 [copy,11477,flip.1] {-} c_List_Osublist(A,hAPP(hAPP(c_List_Olist_OCons(A),B),C),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(c_Int_Onat,c_Int_OPls)),D))=c_Nat_Onat_Onat__case(tc_List_Olist(A),c_List_Olist_ONil(A),hAPP(hAPP(c_COMBB(tc_List_Olist(A),tc_List_Olist(A),tc_Nat_Onat),hAPP(c_List_Olist_OCons(A),B)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_List_Olist(A),tc_List_Olist(A)),c_List_Otake(A)),C)),D).
% 6.17/6.43 Following clause subsumed by 8376 during input processing: 0 [copy,11478,flip.1] {-} hAPP(hAPP(c_List_Ozip(A,B),C),hAPP(hAPP(c_List_Olist_OCons(B),D),E))=hAPP(c_List_Olist_Olist__case(tc_List_Olist(tc_prod(A,B)),A,c_List_Olist_ONil(tc_prod(A,B)),hAPP(hAPP(c_COMBC(A,tc_fun(tc_List_Olist(A),tc_List_Olist(tc_prod(A,B))),tc_fun(tc_List_Olist(A),tc_List_Olist(tc_prod(A,B)))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(tc_prod(A,B)),tc_List_Olist(tc_prod(A,B))),tc_fun(tc_fun(tc_List_Olist(A),tc_List_Olist(tc_prod(A,B))),tc_fun(tc_List_Olist(A),tc_List_Olist(tc_prod(A,B)))),A),c_COMBB(tc_List_Olist(tc_prod(A,B)),tc_List_Olist(tc_prod(A,B)),tc_List_Olist(A))),hAPP(hAPP(c_COMBB(tc_prod(A,B),tc_fun(tc_List_Olist(tc_prod(A,B)),tc_List_Olist(tc_prod(A,B))),A),c_List_Olist_OCons(tc_prod(A,B))),hAPP(hAPP(c_COMBC(A,B,tc_prod(A,B)),c_Product__Type_OPair(A,B)),D)))),hAPP(hAPP(c_COMBC(tc_List_Olist(A),tc_List_Olist(B),tc_List_Olist(tc_prod(A,B))),c_List_Ozip(A,B)),E))),C).
% 6.17/6.43 Following clause subsumed by 8377 during input processing: 0 [copy,11479,flip.1] {-} hAPP(c_List_Olist_Olist__case(A,B,C,D),hAPP(hAPP(c_List_Olist_OCons(B),E),F))=hAPP(hAPP(D,E),F).
% 6.17/6.43 Following clause subsumed by 8413 during input processing: 0 [copy,11484,flip.1] {-} hAPP(hAPP(c_List_Olist__update(A,hAPP(hAPP(c_List_Oappend(A),B),hAPP(hAPP(c_List_Olist_OCons(A),C),D))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(A)),B)),E)=hAPP(hAPP(c_List_Oappend(A),B),hAPP(hAPP(c_List_Olist_OCons(A),E),D)).
% 6.17/6.43 Following clause subsumed by 8436 during input processing: 0 [copy,11485,flip.1] {-} hAPP(hAPP(c_List_Odrop(tc_prod(A,B)),C),hAPP(hAPP(c_List_Ozip(A,B),D),E))=hAPP(hAPP(c_List_Ozip(A,B),hAPP(hAPP(c_List_Odrop(A),C),D)),hAPP(hAPP(c_List_Odrop(B),C),E)).
% 6.17/6.43 Following clause subsumed by 8465 during input processing: 0 [copy,11486,flip.1] {-} hAPP(hAPP(c_List_Odrop(A),B),hAPP(hAPP(c_List_Olist_OCons(A),C),D))=c_Nat_Onat_Onat__case(tc_List_Olist(A),hAPP(hAPP(c_List_Olist_OCons(A),C),D),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_List_Olist(A),tc_List_Olist(A)),c_List_Odrop(A)),D),B).
% 6.17/6.43 Following clause subsumed by 11588 during input processing: 0 [copy,11487,flip.1] {-} hAPP(c_List_Orotate1(A),hAPP(hAPP(c_List_Olist_OCons(A),B),C))=hAPP(hAPP(c_List_Oappend(A),C),c_List_Oinsert(A,B,c_List_Olist_ONil(A))).
% 6.17/6.43 Following clause subsumed by 8475 during input processing: 0 [copy,11488,flip.1] {-} hAPP(hAPP(c_List_Ozip(A,B),hAPP(hAPP(c_List_Oappend(A),C),D)),E)=hAPP(hAPP(c_List_Oappend(tc_prod(A,B)),hAPP(hAPP(c_List_Ozip(A,B),C),c_List_Osublist(B,E,hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(c_Int_Onat,c_Int_OPls)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(A)),C))))),hAPP(hAPP(c_List_Ozip(A,B),D),hAPP(hAPP(c_List_Odrop(B),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(A)),C)),E))).
% 6.17/6.43 Following clause subsumed by 8489 during input processing: 0 [copy,11489,flip.1] {-} c_List_Orotate(A,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B),C))=hAPP(c_Fun_Ocomp(tc_List_Olist(A),tc_List_Olist(A),tc_List_Olist(A),c_List_Orotate(A,B)),c_List_Orotate(A,C)).
% 6.17/6.43 Following clause subsumed by 8502 during input processing: 0 [copy,11490,flip.1] {-} hAPP(c_List_Orotate1(A),hAPP(c_List_Orotate(A,B),C))=hAPP(c_List_Orotate(A,B),hAPP(c_List_Orotate1(A),C)).
% 6.17/6.43 Following clause subsumed by 8514 during input processing: 0 [copy,11491,flip.1] {-} hAPP(hAPP(c_List_Odrop(A),hAPP(c_Nat_OSuc,B)),C)=hAPP(hAPP(c_List_Odrop(A),B),hAPP(c_List_Otl(A),C)).
% 6.17/6.43 Following clause subsumed by 8515 during input processing: 0 [copy,11492,flip.1] {-} hAPP(c_List_Orotate(A,hAPP(c_Nat_OSuc,B)),C)=hAPP(c_List_Orotate1(A),hAPP(c_List_Orotate(A,B),C)).
% 6.17/6.43 Following clause subsumed by 8516 during input processing: 0 [copy,11493,flip.1] {-} hAPP(c_List_Otl(A),hAPP(hAPP(c_List_Oappend(A),B),C))=hAPP(c_List_Olist_Olist__case(tc_List_Olist(A),A,hAPP(c_List_Otl(A),C),hAPP(c_COMBK(tc_fun(tc_List_Olist(A),tc_List_Olist(A)),A),hAPP(hAPP(c_COMBC(tc_List_Olist(A),tc_List_Olist(A),tc_List_Olist(A)),c_List_Oappend(A)),C))),B).
% 6.17/6.43 Following clause subsumed by 8530 during input processing: 0 [copy,11494,flip.1] {-} hAPP(c_List_Ofoldl(A,B,C,D),hAPP(hAPP(c_List_Olist_OCons(B),E),F))=hAPP(c_List_Ofoldl(A,B,C,hAPP(hAPP(C,D),E)),F).
% 6.17/6.43 Following clause subsumed by 8531 during input processing: 0 [copy,11495,flip.1] {-} hAPP(c_List_Ofoldl(A,B,C,D),hAPP(hAPP(c_List_Oappend(B),E),F))=hAPP(c_List_Ofoldl(A,B,C,hAPP(c_List_Ofoldl(A,B,C,D),E)),F).
% 6.17/6.43 Following clause subsumed by 8544 during input processing: 0 [copy,11496,flip.1] {-} hAPP(c_List_Ofoldl(A,B,C,D),hAPP(hAPP(c_List_Omap(E,B),F),G))=hAPP(c_List_Ofoldl(A,E,hAPP(hAPP(c_COMBC(A,tc_fun(E,B),tc_fun(E,A)),hAPP(hAPP(c_COMBB(tc_fun(B,A),tc_fun(tc_fun(E,B),tc_fun(E,A)),A),c_COMBB(B,A,E)),C)),F),D),G).
% 6.17/6.43 Following clause subsumed by 8545 during input processing: 0 [copy,11497,flip.1] {-} hAPP(c_List_Orotate(A,B),hAPP(hAPP(c_List_Omap(C,A),D),E))=hAPP(hAPP(c_List_Omap(C,A),D),hAPP(c_List_Orotate(C,B),E)).
% 6.17/6.43 Following clause subsumed by 8546 during input processing: 0 [copy,11498,flip.1] {-} hAPP(hAPP(c_List_Omap(A,B),C),hAPP(c_List_Otl(A),D))=hAPP(c_List_Otl(B),hAPP(hAPP(c_List_Omap(A,B),C),D)).
% 6.17/6.43 Following clause subsumed by 8547 during input processing: 0 [copy,11499,flip.1] {-} hAPP(hAPP(c_List_Omap(A,B),C),c_List_Olist_ONil(A))=c_List_Olist_ONil(B).
% 6.17/6.43 Following clause subsumed by 8553 during input processing: 0 [copy,11500,flip.1] {-} hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(A)),hAPP(hAPP(c_List_Omap(B,A),C),D))=hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(B)),D).
% 6.17/6.43 Following clause subsumed by 11688 during input processing: 0 [copy,11501,flip.1] {-} hAPP(c_List_Omember(A),hAPP(hAPP(c_List_Omap(B,A),C),D))=hAPP(c_Set_Oimage(B,A,C),hAPP(c_List_Omember(B),D)).
% 6.17/6.43 Following clause subsumed by 8561 during input processing: 0 [copy,11502,flip.1] {-} hAPP(hAPP(c_List_Omap(A,B),C),hAPP(hAPP(c_List_Olist_OCons(A),D),E))=hAPP(hAPP(c_List_Olist_OCons(B),hAPP(C,D)),hAPP(hAPP(c_List_Omap(A,B),C),E)).
% 6.17/6.43 Following clause subsumed by 8562 during input processing: 0 [copy,11503,flip.1] {-} hAPP(hAPP(c_List_Ozip(A,A),B),B)=hAPP(hAPP(c_List_Omap(A,tc_prod(A,A)),hAPP(hAPP(c_COMBS(A,A,tc_prod(A,A)),c_Product__Type_OPair(A,A)),c_COMBI(A))),B).
% 6.17/6.43 Following clause subsumed by 8564 during input processing: 0 [copy,11504,flip.1] {-} hAPP(hAPP(c_List_Ozip(A,B),hAPP(hAPP(c_List_Omap(C,A),D),E)),hAPP(hAPP(c_List_Omap(F,B),G),H))=hAPP(hAPP(c_List_Omap(tc_prod(C,F),tc_prod(A,B)),hAPP(c_Product__Type_Ointernal__split(C,F,tc_prod(A,B)),hAPP(hAPP(c_COMBC(C,tc_fun(F,B),tc_fun(F,tc_prod(A,B))),hAPP(hAPP(c_COMBB(tc_fun(B,tc_prod(A,B)),tc_fun(tc_fun(F,B),tc_fun(F,tc_prod(A,B))),C),c_COMBB(B,tc_prod(A,B),F)),hAPP(hAPP(c_COMBB(A,tc_fun(B,tc_prod(A,B)),C),c_Product__Type_OPair(A,B)),D))),G))),hAPP(hAPP(c_List_Ozip(C,F),E),H)).
% 6.17/6.43 Following clause subsumed by 8566 during input processing: 0 [copy,11505,flip.1] {-} hAPP(hAPP(c_List_Ozip(A,B),hAPP(hAPP(c_List_Omap(C,A),D),E)),F)=hAPP(hAPP(c_List_Omap(tc_prod(C,B),tc_prod(A,B)),hAPP(c_Product__Type_Ointernal__split(C,B,tc_prod(A,B)),hAPP(hAPP(c_COMBB(A,tc_fun(B,tc_prod(A,B)),C),c_Product__Type_OPair(A,B)),D))),hAPP(hAPP(c_List_Ozip(C,B),E),F)).
% 6.17/6.43 Following clause subsumed by 8568 during input processing: 0 [copy,11506,flip.1] {-} hAPP(hAPP(c_List_Omap(tc_prod(A,B),C),D),hAPP(hAPP(c_List_Ozip(A,B),hAPP(hAPP(c_List_Omap(E,A),F),G)),H))=hAPP(hAPP(c_List_Omap(tc_prod(E,B),C),hAPP(c_Product__Type_Ointernal__split(E,B,C),hAPP(hAPP(c_COMBB(tc_fun(B,tc_prod(A,B)),tc_fun(B,C),E),hAPP(c_COMBB(tc_prod(A,B),C,B),D)),hAPP(hAPP(c_COMBB(A,tc_fun(B,tc_prod(A,B)),E),c_Product__Type_OPair(A,B)),F)))),hAPP(hAPP(c_List_Ozip(E,B),G),H)).
% 6.17/6.43 Following clause subsumed by 8570 during input processing: 0 [copy,11507,flip.1] {-} hAPP(hAPP(c_List_Omap(tc_prod(A,B),C),D),hAPP(hAPP(c_List_Ozip(A,B),E),hAPP(hAPP(c_List_Omap(F,B),G),H)))=hAPP(hAPP(c_List_Omap(tc_prod(A,F),C),hAPP(c_Product__Type_Ointernal__split(A,F,C),hAPP(hAPP(c_COMBB(tc_fun(F,tc_prod(A,B)),tc_fun(F,C),A),hAPP(c_COMBB(tc_prod(A,B),C,F),D)),hAPP(hAPP(c_COMBC(A,tc_fun(F,B),tc_fun(F,tc_prod(A,B))),hAPP(hAPP(c_COMBB(tc_fun(B,tc_prod(A,B)),tc_fun(tc_fun(F,B),tc_fun(F,tc_prod(A,B))),A),c_COMBB(B,tc_prod(A,B),F)),c_Product__Type_OPair(A,B))),G)))),hAPP(hAPP(c_List_Ozip(A,F),E),H)).
% 6.17/6.43 Following clause subsumed by 8572 during input processing: 0 [copy,11508,flip.1] {-} hAPP(hAPP(c_List_Ozip(A,B),C),hAPP(hAPP(c_List_Omap(D,B),E),F))=hAPP(hAPP(c_List_Omap(tc_prod(A,D),tc_prod(A,B)),hAPP(c_Product__Type_Ointernal__split(A,D,tc_prod(A,B)),hAPP(hAPP(c_COMBC(A,tc_fun(D,B),tc_fun(D,tc_prod(A,B))),hAPP(hAPP(c_COMBB(tc_fun(B,tc_prod(A,B)),tc_fun(tc_fun(D,B),tc_fun(D,tc_prod(A,B))),A),c_COMBB(B,tc_prod(A,B),D)),c_Product__Type_OPair(A,B))),E))),hAPP(hAPP(c_List_Ozip(A,D),C),F)).
% 6.17/6.43 Following clause subsumed by 8573 during input processing: 0 [copy,11509,flip.1] {-} hAPP(hAPP(c_List_Omap(A,B),C),hAPP(hAPP(c_List_Oappend(A),D),E))=hAPP(hAPP(c_List_Oappend(B),hAPP(hAPP(c_List_Omap(A,B),C),D)),hAPP(hAPP(c_List_Omap(A,B),C),E)).
% 6.17/6.43 Following clause subsumed by 8575 during input processing: 0 [copy,11510,flip.1] {-} hAPP(hAPP(c_List_Odrop(A),B),hAPP(hAPP(c_List_Omap(C,A),D),E))=hAPP(hAPP(c_List_Omap(C,A),D),hAPP(hAPP(c_List_Odrop(C),B),E)).
% 6.17/6.43 Following clause subsumed by 8577 during input processing: 0 [copy,11511,flip.1] {-} c_List_Olist_Olist__size(A,B,hAPP(hAPP(c_List_Omap(C,A),D),E))=c_List_Olist_Olist__size(C,hAPP(c_Fun_Ocomp(A,tc_Nat_Onat,C,B),D),E).
% 6.17/6.43 Following clause subsumed by 8578 during input processing: 0 [copy,11512,flip.1] {-} hAPP(c_Fun_Ocomp(tc_List_Olist(A),tc_List_Olist(B),tc_List_Olist(C),hAPP(c_List_Omap(A,B),D)),hAPP(c_List_Omap(C,A),E))=hAPP(c_List_Omap(C,B),hAPP(c_Fun_Ocomp(A,B,C,D),E)).
% 6.17/6.43 Following clause subsumed by 8579 during input processing: 0 [copy,11513,flip.1] {-} hAPP(hAPP(c_List_Omap(A,B),C),hAPP(hAPP(c_List_Omap(D,A),E),F))=hAPP(hAPP(c_List_Omap(D,B),hAPP(c_Fun_Ocomp(A,B,D,C),E)),F).
% 6.17/6.43 Following clause subsumed by 8586 during input processing: 0 [copy,11516,flip.1] {-} c_Enum_Oproduct(A,B,hAPP(hAPP(c_List_Olist_OCons(A),C),D),E)=hAPP(hAPP(c_List_Oappend(tc_prod(A,B)),hAPP(hAPP(c_List_Omap(B,tc_prod(A,B)),hAPP(c_Product__Type_OPair(A,B),C)),E)),c_Enum_Oproduct(A,B,D,E)).
% 6.17/6.43 Following clause subsumed by 8587 during input processing: 0 [copy,11517,flip.1] {-} c_Enum_Osublists(A,hAPP(hAPP(c_List_Olist_OCons(A),B),C))=hAPP(hAPP(c_HOL_OLet(tc_List_Olist(tc_List_Olist(A)),tc_List_Olist(tc_List_Olist(A))),c_Enum_Osublists(A,C)),hAPP(hAPP(c_COMBS(tc_List_Olist(tc_List_Olist(A)),tc_List_Olist(tc_List_Olist(A)),tc_List_Olist(tc_List_Olist(A))),hAPP(hAPP(c_COMBB(tc_List_Olist(tc_List_Olist(A)),tc_fun(tc_List_Olist(tc_List_Olist(A)),tc_List_Olist(tc_List_Olist(A))),tc_List_Olist(tc_List_Olist(A))),c_List_Oappend(tc_List_Olist(A))),hAPP(c_List_Omap(tc_List_Olist(A),tc_List_Olist(A)),hAPP(c_List_Olist_OCons(A),B)))),c_COMBI(tc_List_Olist(tc_List_Olist(A))))).
% 6.17/6.43 Following clause subsumed by 8630 during input processing: 0 [copy,11536,flip.1] {-} hAPP(c_Code__Numeral_Onat__of,A)=c_Code__Numeral_Onat__of__aux(A,hAPP(c_Int_Onat,c_Int_OPls)).
% 6.17/6.43 Following clause subsumed by 11212 during input processing: 0 [copy,11537,flip.1] {-} hAPP(A,B)=c_Code__Numeral_Ocode__numeral_Ocode__numeral__case(C,D,A,hAPP(c_Code__Numeral_Oof__nat,hAPP(c_Nat_OSuc,hAPP(c_Code__Numeral_Onat__of,B)))).
% 6.17/6.43 Following clause subsumed by 8663 during input processing: 0 [copy,11548,flip.1] {-} c_List_Opartition(A,B,c_List_Olist_ONil(A))=hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(A),tc_List_Olist(A)),c_List_Olist_ONil(A)),c_List_Olist_ONil(A)).
% 6.17/6.43 Following clause subsumed by 8689 during input processing: 0 [copy,11549,flip.1] {-} hAPP(c_List_Ofoldl(tc_List_Olist(A),tc_List_Olist(A),c_List_Oappend(A),B),C)=hAPP(hAPP(c_List_Oappend(A),B),c_List_Oconcat(A,C)).
% 6.17/6.43 Following clause subsumed by 8717 during input processing: 0 [copy,11551,flip.1] {-} hAPP(c_List_Ofilter(A,B),hAPP(hAPP(c_List_Omap(C,A),D),E))=hAPP(hAPP(c_List_Omap(C,A),D),hAPP(c_List_Ofilter(C,hAPP(c_Fun_Ocomp(A,tc_HOL_Obool,C,B),D)),E)).
% 6.17/6.43 Following clause subsumed by 8740 during input processing: 0 [copy,11552,flip.1] {-} hAPP(c_Product__Type_Ofst(tc_List_Olist(A),tc_List_Olist(A)),c_List_Opartition(A,B,C))=hAPP(c_List_Ofilter(A,B),C).
% 6.17/6.43 Following clause subsumed by 8741 during input processing: 0 [copy,11553,flip.1] {-} hAPP(c_Product__Type_Osnd(tc_List_Olist(A),tc_List_Olist(A)),c_List_Opartition(A,B,C))=hAPP(c_List_Ofilter(A,hAPP(c_Fun_Ocomp(tc_HOL_Obool,tc_HOL_Obool,A,c_fNot),B)),C).
% 6.17/6.43 Following clause subsumed by 11675 during input processing: 0 [copy,11554,flip.1] {-} hAPP(c_List_Omember(A),hAPP(c_List_Ofilter(A,B),C))=hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,hAPP(c_List_Omember(A),C))),B).
% 6.17/6.43 Following clause subsumed by 8752 during input processing: 0 [copy,11555,flip.1] {-} hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(A)),hAPP(c_List_Ofilter(A,B),hAPP(hAPP(c_List_Omap(C,A),D),E)))=hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(C)),hAPP(c_List_Ofilter(C,hAPP(c_Fun_Ocomp(A,tc_HOL_Obool,C,B),D)),E)).
% 6.17/6.43 Following clause subsumed by 8765 during input processing: 0 [copy,11557,flip.1] {-} hAPP(hAPP(c_List_Omap(tc_prod(A,tc_Nat_Onat),A),c_Product__Type_Ofst(A,tc_Nat_Onat)),hAPP(c_List_Ofilter(tc_prod(A,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_prod(A,tc_Nat_Onat)),B),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_prod(A,tc_Nat_Onat)),c_Nat_OSuc),c_Product__Type_Osnd(A,tc_Nat_Onat)))),hAPP(hAPP(c_List_Ozip(A,tc_Nat_Onat),C),D)))=hAPP(hAPP(c_List_Omap(tc_prod(A,tc_Nat_Onat),A),c_Product__Type_Ofst(A,tc_Nat_Onat)),hAPP(c_List_Ofilter(tc_prod(A,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_prod(A,tc_Nat_Onat)),B),c_Product__Type_Osnd(A,tc_Nat_Onat))),hAPP(hAPP(c_List_Ozip(A,tc_Nat_Onat),C),hAPP(hAPP(c_List_Omap(tc_Nat_Onat,tc_Nat_Onat),c_Nat_OSuc),D)))).
% 6.17/6.43 Following clause subsumed by 8779 during input processing: 0 [copy,11560,flip.1] {-} c_List_Ofoldr(A,B,C,hAPP(hAPP(c_List_Olist_OCons(A),D),E),F)=hAPP(hAPP(C,D),c_List_Ofoldr(A,B,C,E,F)).
% 6.17/6.43 Following clause subsumed by 8782 during input processing: 0 [copy,11561,flip.1] {-} c_List_Ofoldr(A,B,C,hAPP(hAPP(c_List_Omap(D,A),E),F),G)=c_List_Ofoldr(D,B,hAPP(c_Fun_Ocomp(A,tc_fun(B,B),D,C),E),F,G).
% 6.17/6.43 Following clause subsumed by 8790 during input processing: 0 [copy,11562,flip.1] {-} hAPP(hAPP(c_List_Omap(tc_prod(A,tc_Nat_Onat),A),c_Product__Type_Ofst(A,tc_Nat_Onat)),hAPP(c_List_Ofilter(tc_prod(A,tc_Nat_Onat),hAPP(c_Set_Ovimage(tc_prod(A,tc_Nat_Onat),tc_Nat_Onat,c_Product__Type_Osnd(A,tc_Nat_Onat)),B)),hAPP(hAPP(c_List_Ozip(A,tc_Nat_Onat),C),c_List_Oupt(D,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),D),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(A)),C))))))=hAPP(hAPP(c_List_Omap(tc_prod(A,tc_Nat_Onat),A),c_Product__Type_Ofst(A,tc_Nat_Onat)),hAPP(c_List_Ofilter(tc_prod(A,tc_Nat_Onat),hAPP(c_Set_Ovimage(tc_prod(A,tc_Nat_Onat),tc_Nat_Onat,hAPP(hAPP(c_COMBC(tc_prod(A,tc_Nat_Onat),tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_prod(A,tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_Product__Type_Osnd(A,tc_Nat_Onat))),D)),B)),hAPP(hAPP(c_List_Ozip(A,tc_Nat_Onat),C),c_List_Oupt(hAPP(c_Int_Onat,c_Int_OPls),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(A)),C))))).
% 6.17/6.43 Following clause subsumed by 11564 during input processing: 0 [copy,11563,flip.1] {-} hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,A),B)=hAPP(c_List_Omember(tc_Nat_Onat),c_List_Oupt(A,B)).
% 6.17/6.43 Following clause subsumed by 11563 during input processing: 0 [copy,11564,flip.1] {-} hAPP(c_List_Omember(tc_Nat_Onat),c_List_Oupt(A,B))=hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,A),B).
% 6.27/6.44 Following clause subsumed by 8795 during input processing: 0 [copy,11565,flip.1] {-} hAPP(hAPP(c_List_Odrop(tc_Nat_Onat),A),c_List_Oupt(B,C))=c_List_Oupt(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B),A),C).
% 6.27/6.44 Following clause subsumed by 8800 during input processing: 0 [copy,11566,flip.1] {-} c_List_Oupt(A,hAPP(c_Int_Onat,c_Int_OPls))=c_List_Olist_ONil(tc_Nat_Onat).
% 6.27/6.44 Following clause subsumed by 8827 during input processing: 0 [copy,11567,flip.1] {-} hAPP(c_List_Orev(A),hAPP(hAPP(c_List_Oappend(A),B),C))=hAPP(hAPP(c_List_Oappend(A),hAPP(c_List_Orev(A),C)),hAPP(c_List_Orev(A),B)).
% 6.27/6.44 Following clause subsumed by 8831 during input processing: 0 [copy,11568,flip.1] {-} hAPP(c_List_Orev(A),hAPP(hAPP(c_List_Omap(B,A),C),D))=hAPP(hAPP(c_List_Omap(B,A),C),hAPP(c_List_Orev(B),D)).
% 6.27/6.44 Following clause subsumed by 8832 during input processing: 0 [copy,11569,flip.1] {-} hAPP(c_List_Orev(A),hAPP(c_List_Ofilter(A,B),C))=hAPP(c_List_Ofilter(A,B),hAPP(c_List_Orev(A),C)).
% 6.27/6.44 Following clause subsumed by 8839 during input processing: 0 [copy,11570,flip.1] {-} hAPP(c_List_Ofoldl(A,B,C,D),E)=c_List_Ofoldr(B,A,hAPP(c_COMBC(A,B,A),C),hAPP(c_List_Orev(B),E),D).
% 6.27/6.44 Following clause subsumed by 11583 during input processing: 0 [copy,11571,flip.1] {-} hAPP(c_List_Orev(A),hAPP(hAPP(c_List_Olist_OCons(A),B),C))=hAPP(hAPP(c_List_Oappend(A),hAPP(c_List_Orev(A),C)),c_List_Oinsert(A,B,c_List_Olist_ONil(A))).
% 6.27/6.44 Following clause subsumed by 8863 during input processing: 0 [copy,11573,flip.1] {-} hAPP(hAPP(c_List_Ozip(A,B),c_List_OtakeWhile(A,C,D)),E)=c_List_OtakeWhile(tc_prod(A,B),hAPP(c_Fun_Ocomp(A,tc_HOL_Obool,tc_prod(A,B),C),c_Product__Type_Ofst(A,B)),hAPP(hAPP(c_List_Ozip(A,B),D),E)).
% 6.27/6.44 Following clause subsumed by 8864 during input processing: 0 [copy,11574,flip.1] {-} hAPP(hAPP(c_List_Ozip(A,B),C),c_List_OtakeWhile(B,D,E))=c_List_OtakeWhile(tc_prod(A,B),hAPP(c_Fun_Ocomp(B,tc_HOL_Obool,tc_prod(A,B),D),c_Product__Type_Osnd(A,B)),hAPP(hAPP(c_List_Ozip(A,B),C),E)).
% 6.27/6.44 Following clause subsumed by 8880 during input processing: 0 [copy,11576,flip.1] {-} c_List_Oembed__list(A)=hAPP(hAPP(c_List_Omap(tc_Nat_Onat,tc_Int_Oint),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),A).
% 6.27/6.44 Following clause subsumed by 11571 during input processing: 0 [copy,11583,flip.1] {-} hAPP(hAPP(c_List_Oappend(A),hAPP(c_List_Orev(A),B)),c_List_Oinsert(A,C,c_List_Olist_ONil(A)))=hAPP(c_List_Orev(A),hAPP(hAPP(c_List_Olist_OCons(A),C),B)).
% 6.27/6.44 Following clause subsumed by 11487 during input processing: 0 [copy,11588,flip.1] {-} hAPP(hAPP(c_List_Oappend(A),B),c_List_Oinsert(A,C,c_List_Olist_ONil(A)))=hAPP(c_List_Orotate1(A),hAPP(hAPP(c_List_Olist_OCons(A),C),B)).
% 6.27/6.44 Following clause subsumed by 8932 during input processing: 0 [copy,11623,flip.1] {-} c_List_Omaps(A,B,C,c_List_Olist_ONil(A))=c_List_Olist_ONil(B).
% 6.27/6.44 Following clause subsumed by 8933 during input processing: 0 [copy,11624,flip.1] {-} c_List_Omaps(A,B,C,hAPP(hAPP(c_List_Olist_OCons(A),D),E))=hAPP(hAPP(c_List_Oappend(B),hAPP(C,D)),c_List_Omaps(A,B,C,E)).
% 6.27/6.44 Following clause subsumed by 8966 during input processing: 0 [copy,11625,flip.1] {-} hAPP(c_New__DSequence_Oneg__bind(A,B,C,D),E)=c_Lazy__Sequence_Ohb__bind(A,B,hAPP(C,E),hAPP(hAPP(c_COMBC(A,tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(B))),D),E)).
% 6.27/6.44 Following clause subsumed by 8967 during input processing: 0 [copy,11626,flip.1] {-} hAPP(hAPP(hAPP(c_New__Random__Sequence_Oneg__bind(A,B,C,D),E),F),G)=c_New__DSequence_Oneg__bind(A,B,hAPP(hAPP(hAPP(C,E),F),G),hAPP(hAPP(c_COMBC(A,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(B)))),hAPP(hAPP(c_COMBC(A,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(B))))),hAPP(hAPP(c_COMBC(A,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(B)))))),D),E)),F)),G)).
% 6.27/6.44 Following clause subsumed by 8975 during input processing: 0 [copy,11627,flip.1] {-} c_New__Random__Sequence_Opos__empty(A,B,C,D)=c_New__DSequence_Opos__empty(A).
% 6.27/6.44 Following clause subsumed by 8976 during input processing: 0 [copy,11628,flip.1] {-} hAPP(c_New__DSequence_Opos__bind(A,B,C,D),E)=hAPP(c_Lazy__Sequence_Obind(A,B,hAPP(C,E)),hAPP(hAPP(c_COMBC(A,tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(B)),D),E)).
% 6.27/6.44 Following clause subsumed by 8977 during input processing: 0 [copy,11629,flip.1] {-} hAPP(hAPP(hAPP(c_New__Random__Sequence_Opos__bind(A,B,C,D),E),F),G)=c_New__DSequence_Opos__bind(A,B,hAPP(hAPP(hAPP(C,E),F),G),hAPP(hAPP(c_COMBC(A,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(B))),hAPP(hAPP(c_COMBC(A,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(B)))),hAPP(hAPP(c_COMBC(A,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(B))))),D),E)),F)),G)).
% 6.27/6.44 Following clause subsumed by 8978 during input processing: 0 [copy,11630,flip.1] {-} c_New__Random__Sequence_Oneg__map(A,B,C,D)=c_New__Random__Sequence_Oneg__bind(A,B,D,hAPP(c_Fun_Ocomp(B,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(B)))))),A,c_New__Random__Sequence_Oneg__single(B)),C)).
% 6.27/6.44 Following clause subsumed by 8981 during input processing: 0 [copy,11631,flip.1] {-} c_New__Random__Sequence_Opos__map(A,B,C,D)=c_New__Random__Sequence_Opos__bind(A,B,D,hAPP(c_Fun_Ocomp(B,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(B))))),A,c_New__Random__Sequence_Opos__single(B)),C)).
% 6.27/6.44 Following clause subsumed by 8986 during input processing: 0 [copy,11632,flip.1] {-} hAPP(c_New__DSequence_Opos__single(A,B),C)=hAPP(c_Lazy__Sequence_Osingle(A),B).
% 6.27/6.44 Following clause subsumed by 9000 during input processing: 0 [copy,11637,flip.1] {-} c_Predicate_Oconversep(A,B,c_Predicate_Opred__comp(A,C,B,D,E))=c_Predicate_Opred__comp(B,C,A,c_Predicate_Oconversep(C,B,E),c_Predicate_Oconversep(A,C,D)).
% 6.27/6.44 Following clause subsumed by 9006 during input processing: 0 [copy,11638,flip.1] {-} c_Predicate_Oconversep(A,B,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_fun(B,tc_HOL_Obool))),C),D))=hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(B,tc_fun(A,tc_HOL_Obool))),c_Predicate_Oconversep(A,B,C)),c_Predicate_Oconversep(A,B,D)).
% 6.27/6.44 Following clause subsumed by 9007 during input processing: 0 [copy,11639,flip.1] {-} c_Predicate_Oconversep(A,B,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(A,tc_fun(B,tc_HOL_Obool))),C),D))=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(B,tc_fun(A,tc_HOL_Obool))),c_Predicate_Oconversep(A,B,C)),c_Predicate_Oconversep(A,B,D)).
% 6.27/6.44 Following clause subsumed by 9014 during input processing: 0 [copy,11640,flip.1] {-} hAPP(hAPP(c_List_Omap(A,B),hAPP(c_COMBK(B,A),C)),D)=c_List_Oreplicate(B,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(A)),D),C).
% 6.27/6.44 Following clause subsumed by 9015 during input processing: 0 [copy,11641,flip.1] {-} hAPP(hAPP(c_List_Oappend(A),c_List_Oreplicate(A,B,C)),hAPP(hAPP(c_List_Olist_OCons(A),C),D))=hAPP(hAPP(c_List_Olist_OCons(A),C),hAPP(hAPP(c_List_Oappend(A),c_List_Oreplicate(A,B,C)),D)).
% 6.27/6.45 Following clause subsumed by 9024 during input processing: 0 [copy,11642,flip.1] {-} c_List_Osublist(A,c_List_Oreplicate(A,B,C),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(c_Int_Onat,c_Int_OPls)),D))=c_List_Oreplicate(A,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_Nat_Onat),D),B),C).
% 6.27/6.45 Following clause subsumed by 9031 during input processing: 0 [copy,11643,flip.1] {-} hAPP(hAPP(c_List_Ozip(A,B),c_List_Oreplicate(A,C,D)),c_List_Oreplicate(B,E,F))=c_List_Oreplicate(tc_prod(A,B),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_Nat_Onat),C),E),hAPP(hAPP(c_Product__Type_OPair(A,B),D),F)).
% 6.27/6.45 Following clause subsumed by 11644 during input processing: 0 [copy,11644,flip.1] {-} c_List_Oreplicate(A,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B),C),D)=c_List_Oreplicate(A,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),C),B),D).
% 6.27/6.45 Following clause subsumed by 9042 during input processing: 0 [copy,11645,flip.1] {-} c_List_Oreplicate(A,hAPP(c_Int_Onat,c_Int_OPls),B)=c_List_Olist_ONil(A).
% 6.27/6.45 Following clause subsumed by 11904 during input processing: 0 [copy,11650,flip.1] {-} hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(A,B),c_Lazy__Sequence_Olazy__sequence_OInsert(A,C,D))=hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(B,C)),hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(A,B),D))).
% 6.27/6.45 Following clause subsumed by 9084 during input processing: 0 [copy,11653,flip.1] {-} c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case(A,B,C,D,c_Lazy__Sequence_Olazy__sequence_OInsert(B,E,F))=hAPP(hAPP(D,E),F).
% 6.27/6.45 Following clause subsumed by 11554 during input processing: 0 [copy,11675,flip.1] {-} hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,hAPP(c_List_Omember(A),B))),C)=hAPP(c_List_Omember(A),hAPP(c_List_Ofilter(A,C),B)).
% 6.27/6.45 Following clause subsumed by 11501 during input processing: 0 [copy,11688,flip.1] {-} hAPP(c_Set_Oimage(A,B,C),hAPP(c_List_Omember(A),D))=hAPP(c_List_Omember(B),hAPP(hAPP(c_List_Omap(A,B),C),D)).
% 6.27/6.45 11875 back subsumes 11453.
% 6.27/6.45 Following clause subsumed by 11903 during input processing: 0 [copy,11877,flip.1] {-} c_Nitpick_Opair__box_Opair__box__size(A,B,C,D,c_Nitpick_Opair__box_OPairBox(A,B,E,F))=hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(C,E)),hAPP(D,F))).
% 6.27/6.45 Following clause subsumed by 9094 during input processing: 0 [copy,11878,flip.1] {-} c_Nitpick_Opair__box_Opair__box__case(A,B,C,D,c_Nitpick_Opair__box_OPairBox(A,B,E,F))=hAPP(hAPP(D,E),F).
% 6.27/6.45 Following clause subsumed by 9095 during input processing: 0 [copy,11879,flip.1] {-} c_Nitpick_Opair__box_Opair__box__rec(A,B,C,D,c_Nitpick_Opair__box_OPairBox(A,B,E,F))=hAPP(hAPP(D,E),F).
% 6.27/6.45 Following clause subsumed by 9118 during input processing: 0 [copy,11880,flip.1] {-} c_Random__Sequence_Oempty(A,B,C)=hAPP(c_Product__Type_OPair(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(A)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)),c_DSequence_Oempty(A)).
% 6.27/6.45 Following clause subsumed by 9119 during input processing: 0 [copy,11881,flip.1] {-} hAPP(hAPP(hAPP(c_Random__Sequence_Osingle(A),B),C),D)=hAPP(c_Product__Type_OPair(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(A)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)),hAPP(c_DSequence_Osingle(A),B)).
% 6.27/6.45 Following clause subsumed by 9120 during input processing: 0 [copy,11882,flip.1] {-} c_Random__Sequence_Omap(A,B,C,D)=c_Random__Sequence_Obind(A,B,D,hAPP(c_Fun_Ocomp(B,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(B)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))))),A,c_Random__Sequence_Osingle(B)),C)).
% 6.27/6.45 Following clause subsumed by 9122 during input processing: 0 [copy,11883,flip.1] {-} hAPP(c_Relation_OImage(A,B,hAPP(c_Product__Type_Ointernal__split(A,B,tc_HOL_Obool),C)),D)=hAPP(c_Relation_ODomain(B,A),hAPP(c_Product__Type_Ointernal__split(B,A,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool),B),hAPP(c_COMBS(A,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),A),c_fconj),D))),hAPP(c_COMBC(A,B,tc_HOL_Obool),C)))).
% 6.27/6.45 Following clause subsumed by 9138 during input processing: 0 [copy,11884,flip.1] {-} hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,tc_fun(B,tc_HOL_Obool)),C),D)=c_Complete__Lattice_OSup__class_OSup(tc_fun(B,tc_HOL_Obool),hAPP(c_Relation_ODomain(tc_fun(B,tc_HOL_Obool),A),hAPP(c_Product__Type_Ointernal__split(tc_fun(B,tc_HOL_Obool),A,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool)),hAPP(c_COMBS(A,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),A),c_fconj),C))),hAPP(hAPP(c_COMBC(tc_fun(B,tc_HOL_Obool),tc_fun(A,tc_fun(B,tc_HOL_Obool)),tc_fun(A,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(B,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(A,tc_fun(B,tc_HOL_Obool)),tc_fun(A,tc_HOL_Obool)),tc_fun(B,tc_HOL_Obool)),c_COMBB(tc_fun(B,tc_HOL_Obool),tc_HOL_Obool,A)),c_fequal)),D))))).
% 6.27/6.45 Following clause subsumed by 9140 during input processing: 0 [copy,11885,flip.1] {-} hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,tc_fun(B,tc_HOL_Obool)),C),D)=c_Complete__Lattice_OInf__class_OInf(tc_fun(B,tc_HOL_Obool),hAPP(c_Relation_ODomain(tc_fun(B,tc_HOL_Obool),A),hAPP(c_Product__Type_Ointernal__split(tc_fun(B,tc_HOL_Obool),A,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool)),hAPP(c_COMBS(A,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),A),c_fconj),C))),hAPP(hAPP(c_COMBC(tc_fun(B,tc_HOL_Obool),tc_fun(A,tc_fun(B,tc_HOL_Obool)),tc_fun(A,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(B,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(A,tc_fun(B,tc_HOL_Obool)),tc_fun(A,tc_HOL_Obool)),tc_fun(B,tc_HOL_Obool)),c_COMBB(tc_fun(B,tc_HOL_Obool),tc_HOL_Obool,A)),c_fequal)),D))))).
% 6.27/6.45 Following clause subsumed by 9149 during input processing: 0 [copy,11886,flip.1] {-} c_Partial__Function_Ofun__lub(A,B,C,D,E,F)=hAPP(D,hAPP(c_Relation_ODomain(A,tc_fun(C,A)),hAPP(c_Product__Type_Ointernal__split(A,tc_fun(C,A),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(C,A),tc_HOL_Obool),tc_fun(tc_fun(C,A),tc_HOL_Obool),A),hAPP(c_COMBS(tc_fun(C,A),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(C,A)),c_fconj),E))),hAPP(hAPP(c_COMBC(A,tc_fun(tc_fun(C,A),A),tc_fun(tc_fun(C,A),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(A,tc_HOL_Obool),tc_fun(tc_fun(tc_fun(C,A),A),tc_fun(tc_fun(C,A),tc_HOL_Obool)),A),c_COMBB(A,tc_HOL_Obool,tc_fun(C,A))),c_fequal)),hAPP(hAPP(c_COMBC(tc_fun(C,A),C,A),c_COMBI(tc_fun(C,A))),F)))))).
% 6.27/6.45 Following clause subsumed by 9162 during input processing: 0 [copy,11887,flip.1] {-} hAPP(c_Hilbert__Choice_Oinv__into(A,B,C,D),E)=c_Hilbert__Choice_OEps(A,hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,C)),hAPP(hAPP(c_COMBC(A,B,tc_HOL_Obool),hAPP(hAPP(c_COMBB(B,tc_fun(B,tc_HOL_Obool),A),c_fequal),D)),E))).
% 6.27/6.45 Following clause subsumed by 9179 during input processing: 0 [copy,11888,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)).
% 6.27/6.45 Following clause subsumed by 9385 during input processing: 0 [copy,11889,flip.1] {-} hAPP(hAPP(hAPP(c_COMBC(A,B,C),D),E),F)=hAPP(hAPP(D,F),E).
% 6.27/6.45 Following clause subsumed by 9386 during input processing: 0 [copy,11890,flip.1] {-} hAPP(hAPP(hAPP(c_COMBS(A,B,C),D),E),F)=hAPP(hAPP(D,F),hAPP(E,F)).
% 6.27/6.46 Following clause subsumed by 11898 during input processing: 0 [copy,11894,flip.1,demod,11936,11936] {-} hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,B)),hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),C))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),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))).
% 6.27/6.46 Following clause subsumed by 9455 during input processing: 0 [copy,11896,flip.1] {-} hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,hAPP(hAPP(c_COMBS(A,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),A),c_fdisj),B)),C))),hAPP(hAPP(c_COMBS(A,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),A),c_fdisj),D)),C))=hAPP(hAPP(c_COMBS(A,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),A),c_fdisj),hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,B)),D))),C).
% 6.27/6.46 Following clause subsumed by 11898 during input processing: 0 [copy,11897,flip.1] {-} hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,B)),hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,C)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),D)))=hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,B)),hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),D))),C)).
% 6.27/6.46 11897 back subsumes 11894.
% 6.27/6.46 Following clause subsumed by 11897 during input processing: 0 [copy,11898,flip.1] {-} hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,B)),hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),C))),D))=hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,B)),hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,D)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),C))).
% 6.27/6.46 Following clause subsumed by 11877 during input processing: 0 [copy,11903,flip.1] {-} hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(A,B)),hAPP(C,D)))=c_Nitpick_Opair__box_Opair__box__size(E,F,A,C,c_Nitpick_Opair__box_OPairBox(E,F,B,D)).
% 6.27/6.46 Following clause subsumed by 11650 during input processing: 0 [copy,11904,flip.1] {-} hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(A,B)),hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(C,A),D)))=hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(C,A),c_Lazy__Sequence_Olazy__sequence_OInsert(C,B,D)).
% 6.27/6.46 Following clause subsumed by 11431 during input processing: 0 [copy,11905,flip.1] {-} hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(A,B)),c_List_Olist_Olist__size(C,A,D)))=c_List_Olist_Olist__size(C,A,hAPP(hAPP(c_List_Olist_OCons(C),B),D)).
% 6.27/6.46 Following clause subsumed by 10397 during input processing: 0 [copy,11927,flip.1] {-} hAPP(hAPP(c_COMBS(A,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),A),c_fdisj),hAPP(c_Set_Oimage(B,A,C),hAPP(c_Relation_OImage(B,B,c_Relation_OId__on(B,D)),E)))),hAPP(c_Set_Oimage(B,A,F),hAPP(c_Relation_OImage(B,B,c_Relation_OId__on(B,D)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,B),c_fNot),E))))=hAPP(c_Set_Oimage(B,A,hAPP(hAPP(c_COMBS(B,A,A),hAPP(hAPP(c_COMBS(B,A,tc_fun(A,A)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(A,tc_fun(A,A)),B),c_If(A)),E)),C)),F)),D).
% 6.33/6.54 Following clause subsumed by 10522 during input processing: 0 [copy,11929,flip.1] {-} hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,tc_fun(B,tc_HOL_Obool)),C),hAPP(hAPP(c_COMBB(tc_fun(D,tc_fun(B,tc_HOL_Obool)),tc_fun(B,tc_HOL_Obool),A),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(D,tc_fun(B,tc_HOL_Obool)),E)),hAPP(hAPP(c_COMBC(A,tc_fun(D,tc_fun(B,tc_HOL_Obool)),tc_fun(D,tc_fun(B,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool)),tc_fun(tc_fun(D,tc_fun(B,tc_HOL_Obool)),tc_fun(D,tc_fun(B,tc_HOL_Obool))),A),c_COMBB(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool),D)),hAPP(hAPP(c_COMBB(tc_fun(B,tc_HOL_Obool),tc_fun(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool)),A),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(B,tc_HOL_Obool))),F))),G)))=hAPP(c_Relation_OImage(B,B,c_Relation_OId__on(B,hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,tc_fun(B,tc_HOL_Obool)),C),F))),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(D,tc_fun(B,tc_HOL_Obool)),E),G)).
% 6.33/6.54 Following clause subsumed by 12079 during input processing: 0 [copy,11993,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).
% 6.33/6.54 Following clause subsumed by 12027 during input processing: 0 [copy,12011,flip.1] {-} hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_Odivmod__int(hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_Odivmod__int(A,c_Int_OMin)),B))=hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_Odivmod__int(A,hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_Odivmod__int(B,c_Int_OMin)))).
% 6.33/6.54 Following clause subsumed by 12011 during input processing: 0 [copy,12027,flip.1] {-} hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_Odivmod__int(A,hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_Odivmod__int(B,c_Int_OMin))))=hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_Odivmod__int(hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_Odivmod__int(A,c_Int_OMin)),B)).
% 6.33/6.54 Following clause subsumed by 12078 during input processing: 0 [copy,12071,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)).
% 6.33/6.54 Following clause subsumed by 12147 during input processing: 0 [copy,12073,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))).
% 6.33/6.54 Following clause subsumed by 11166 during input processing: 0 [copy,12076,flip.1] {-} hAPP(c_Product__Type_Ointernal__split(A,A,tc_HOL_Obool),hAPP(hAPP(c_COMBC(A,tc_fun(tc_prod(B,B),tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(A,tc_fun(tc_fun(tc_prod(B,B),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(B,B),tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),A),c_COMBC(A,tc_fun(tc_prod(B,B),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(A,tc_prod(B,B)),tc_fun(A,tc_fun(tc_fun(tc_prod(B,B),tc_HOL_Obool),tc_HOL_Obool)),A),hAPP(c_COMBB(tc_prod(B,B),tc_fun(tc_fun(tc_prod(B,B),tc_HOL_Obool),tc_HOL_Obool),A),c_member(tc_prod(B,B)))),hAPP(hAPP(c_COMBC(A,tc_fun(A,B),tc_fun(A,tc_prod(B,B))),hAPP(hAPP(c_COMBB(tc_fun(B,tc_prod(B,B)),tc_fun(tc_fun(A,B),tc_fun(A,tc_prod(B,B))),A),c_COMBB(B,tc_prod(B,B),A)),hAPP(hAPP(c_COMBB(B,tc_fun(B,tc_prod(B,B)),A),c_Product__Type_OPair(B,B)),C))),C)))),D))=hAPP(hAPP(c_Relation_Oinv__image(B,A),D),C).
% 6.33/6.54 Following clause subsumed by 12071 during input processing: 0 [copy,12078,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).
% 6.33/6.54 Following clause subsumed by 11993 during input processing: 0 [copy,12079,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))).
% 6.33/6.54 Following clause subsumed by 11276 during input processing: 0 [copy,12086,flip.1] {-} hAPP(hAPP(c_Product__Type_OSigma(A,B),C),hAPP(hAPP(c_COMBB(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool),A),c_Set_OCollect(B)),D))=hAPP(c_Product__Type_Ointernal__split(A,B,tc_HOL_Obool),hAPP(hAPP(c_COMBS(A,tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool)),A),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,B)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),A),c_fconj),C))),D)).
% 6.33/6.54 Following clause subsumed by 12145 during input processing: 0 [copy,12087,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))).
% 6.33/6.54 Following clause subsumed by 12144 during input processing: 0 [copy,12089,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).
% 6.33/6.54 Following clause subsumed by 12119 during input processing: 0 [copy,12093,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)).
% 6.33/6.54 Following clause subsumed by 11462 during input processing: 0 [copy,12094,flip.1] {-} hAPP(c_Relation_ODomain(tc_prod(A,B),tc_Nat_Onat),hAPP(c_Product__Type_Ointernal__split(tc_prod(A,B),tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_prod(A,B),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_prod(A,B)),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_prod(A,B)),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),hAPP(hAPP(c_COMBC(tc_prod(A,B),tc_fun(tc_Nat_Onat,tc_prod(A,B)),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(A,B),tc_HOL_Obool),tc_fun(tc_fun(tc_Nat_Onat,tc_prod(A,B)),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_prod(A,B)),c_COMBB(tc_prod(A,B),tc_HOL_Obool,tc_Nat_Onat)),c_fequal)),hAPP(hAPP(c_COMBS(tc_Nat_Onat,B,tc_prod(A,B)),hAPP(hAPP(c_COMBB(A,tc_fun(B,tc_prod(A,B)),tc_Nat_Onat),c_Product__Type_OPair(A,B)),hAPP(c_List_Onth(A),C))),hAPP(c_List_Onth(B),D)))))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(A)),c_List_Osublist(A,C,hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(c_Int_Onat,c_Int_OPls)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(B)),D))))))))=hAPP(c_List_Omember(tc_prod(A,B)),hAPP(hAPP(c_List_Ozip(A,B),C),D)).
% 6.33/6.54 Following clause subsumed by 11550 during input processing: 0 [copy,12100,flip.1] {-} hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(A)),hAPP(hAPP(c_List_Olist_OCons(A),B),c_List_Omaps(tc_List_Olist(A),A,c_List_Olist_Olist__case(tc_List_Olist(A),A,c_List_Olist_ONil(A),hAPP(hAPP(c_COMBB(tc_List_Olist(A),tc_fun(tc_List_Olist(A),tc_List_Olist(A)),A),c_COMBK(tc_List_Olist(A),tc_List_Olist(A))),hAPP(hAPP(c_COMBC(A,tc_List_Olist(A),tc_List_Olist(A)),c_List_Olist_OCons(A)),c_List_Olist_ONil(A)))),C))),c_List_Otranspose(A,hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(A)),D),c_List_Omaps(tc_List_Olist(A),tc_List_Olist(A),c_List_Olist_Olist__case(tc_List_Olist(tc_List_Olist(A)),A,c_List_Olist_ONil(tc_List_Olist(A)),hAPP(c_COMBK(tc_fun(tc_List_Olist(A),tc_List_Olist(tc_List_Olist(A))),A),hAPP(hAPP(c_COMBC(tc_List_Olist(A),tc_List_Olist(tc_List_Olist(A)),tc_List_Olist(tc_List_Olist(A))),c_List_Olist_OCons(tc_List_Olist(A))),c_List_Olist_ONil(tc_List_Olist(A))))),C))))=c_List_Otranspose(A,hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(A)),hAPP(hAPP(c_List_Olist_OCons(A),B),D)),C)).
% 6.33/6.55 Following clause subsumed by 12104 during input processing: 0 [copy,12101,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))).
% 6.33/6.55 Following clause subsumed by 11579 during input processing: 0 [copy,12103,flip.1] {-} c_List_Omaps(tc_List_Olist(A),tc_List_Olist(A),c_List_Olist_Olist__case(tc_List_Olist(tc_List_Olist(A)),A,c_List_Olist_ONil(tc_List_Olist(A)),hAPP(c_COMBK(tc_fun(tc_List_Olist(A),tc_List_Olist(tc_List_Olist(A))),A),hAPP(hAPP(c_COMBC(tc_List_Olist(A),tc_List_Olist(tc_List_Olist(A)),tc_List_Olist(tc_List_Olist(A))),c_List_Olist_OCons(tc_List_Olist(A))),c_List_Olist_ONil(tc_List_Olist(A))))),B)=hAPP(hAPP(c_List_Omap(tc_List_Olist(A),tc_List_Olist(A)),c_List_Otl(A)),hAPP(c_List_OremoveAll(tc_List_Olist(A),c_List_Olist_ONil(A)),B)).
% 6.33/6.55 Following clause subsumed by 12101 during input processing: 0 [copy,12104,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)).
% 6.33/6.55 Following clause subsumed by 11581 during input processing: 0 [copy,12105,flip.1] {-} c_List_Omaps(tc_List_Olist(A),A,c_List_Olist_Olist__case(tc_List_Olist(A),A,c_List_Olist_ONil(A),hAPP(hAPP(c_COMBB(tc_List_Olist(A),tc_fun(tc_List_Olist(A),tc_List_Olist(A)),A),c_COMBK(tc_List_Olist(A),tc_List_Olist(A))),hAPP(hAPP(c_COMBC(A,tc_List_Olist(A),tc_List_Olist(A)),c_List_Olist_OCons(A)),c_List_Olist_ONil(A)))),B)=hAPP(hAPP(c_List_Omap(tc_List_Olist(A),A),c_List_Ohd(A)),hAPP(c_List_OremoveAll(tc_List_Olist(A),c_List_Olist_ONil(A)),B)).
% 6.33/6.55 Following clause subsumed by 12114 during input processing: 0 [copy,12106,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)).
% 6.33/6.55 Following clause subsumed by 11619 during input processing: 0 [copy,12108,flip.1] {-} c_List_Omaps(tc_List_Olist(A),A,c_List_Ofilter(A,B),C)=hAPP(c_List_Ofilter(A,B),c_List_Oconcat(A,C)).
% 6.33/6.55 Following clause subsumed by 11620 during input processing: 0 [copy,12109,flip.1] {-} c_List_Omaps(tc_List_Olist(A),tc_List_Olist(A),hAPP(hAPP(c_COMBC(tc_List_Olist(A),tc_List_Olist(A),tc_List_Olist(tc_List_Olist(A))),hAPP(hAPP(c_COMBB(tc_fun(A,tc_List_Olist(A)),tc_fun(tc_List_Olist(A),tc_List_Olist(tc_List_Olist(A))),tc_List_Olist(A)),c_List_Omap(A,tc_List_Olist(A))),hAPP(c_COMBC(A,tc_List_Olist(A),tc_List_Olist(A)),c_List_Olist_OCons(A)))),B),c_Enum_On__lists(A,C,B))=c_Enum_On__lists(A,hAPP(c_Nat_OSuc,C),B).
% 6.33/6.55 Following clause subsumed by 11621 during input processing: 0 [copy,12110,flip.1] {-} c_List_Omaps(A,B,hAPP(hAPP(c_COMBC(A,tc_List_Olist(B),tc_List_Olist(B)),hAPP(hAPP(c_COMBB(B,tc_fun(tc_List_Olist(B),tc_List_Olist(B)),A),c_List_Olist_OCons(B)),C)),c_List_Olist_ONil(B)),D)=hAPP(hAPP(c_List_Omap(A,B),C),D).
% 6.33/6.55 Following clause subsumed by 11622 during input processing: 0 [copy,12111,flip.1] {-} c_List_Omaps(tc_List_Olist(A),B,hAPP(c_List_Omap(A,B),C),D)=hAPP(hAPP(c_List_Omap(A,B),C),c_List_Oconcat(A,D)).
% 6.33/6.55 Following clause subsumed by 12106 during input processing: 0 [copy,12114,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)))).
% 6.33/6.55 Following clause subsumed by 12093 during input processing: 0 [copy,12119,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)))).
% 6.33/6.55 Following clause subsumed by 12120 during input processing: 0 [copy,12120,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(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))))=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(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),D)))).
% 6.39/6.56 Following clause subsumed by 12123 during input processing: 0 [copy,12123,flip.1] {-} hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_COMBK(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Int_Onat,hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Relation_OId__on(tc_prod(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),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)))))))))),c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,A,hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_COMBK(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Int_Onat,hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Relation_OId__on(tc_prod(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),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)))))))))),c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,B,C))))=hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_COMBK(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Int_Onat,hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Relation_OId__on(tc_prod(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),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)))))))))),c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,B,hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_COMBK(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Int_Onat,hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Relation_OId__on(tc_prod(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),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)))))))))),c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,A,C)))).
% 6.39/6.56 Following clause subsumed by 12089 during input processing: 0 [copy,12144,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)).
% 6.39/6.56 Following clause subsumed by 12087 during input processing: 0 [copy,12145,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).
% 6.39/6.56 Following clause subsumed by 12073 during input processing: 0 [copy,12147,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).
% 6.39/6.56 Following clause subsumed by 11998 during input processing: 0 [copy,12237,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))))).
% 6.39/6.56 Following clause subsumed by 11999 during input processing: 0 [copy,12238,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)))).
% 6.39/6.56 Following clause subsumed by 12000 during input processing: 0 [copy,12239,flip.1] {-} hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Relation_OId__on(tc_prod(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),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_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_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)))).
% 6.39/6.56 Following clause subsumed by 12001 during input processing: 0 [copy,12240,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_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_Groups_Oplus__class_Oplus(tc_Int_Oint),B),B))))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Relation_OId__on(tc_prod(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),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_Groups_Oplus__class_Oplus(tc_Int_Oint),A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),B)))).
% 6.39/6.56 Following clause subsumed by 12002 during input processing: 0 [copy,12241,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),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_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_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_Groups_Oplus__class_Oplus(tc_Int_Oint),A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),B)))).
% 6.39/6.56 Following clause subsumed by 12003 during input processing: 0 [copy,12242,flip.1] {-} hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Relation_OId__on(tc_prod(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),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_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_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_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),A),B)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),A),B))).
% 6.39/6.56 Following clause subsumed by 12004 during input processing: 0 [copy,12243,flip.1] {-} hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Relation_OId__on(tc_prod(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),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_Groups_Oplus__class_Oplus(tc_Int_Oint),A),A))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Relation_OId__on(tc_prod(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),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_Groups_Oplus__class_Oplus(tc_Int_Oint),B),B)))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),A),B)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),A),B)).
% 6.39/6.56 Following clause subsumed by 12005 during input processing: 0 [copy,12244,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(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_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),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_Groups_Oplus__class_Oplus(tc_Int_Oint),A),A)).
% 6.39/6.56 Following clause subsumed by 12006 during input processing: 0 [copy,12245,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_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_Groups_Oplus__class_Oplus(tc_Int_Oint),B),B)))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Relation_OId__on(tc_prod(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),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_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),A),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Relation_OId__on(tc_prod(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),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(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),A),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Relation_OId__on(tc_prod(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),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))).
% 6.39/6.56 Following clause subsumed by 12007 during input processing: 0 [copy,12246,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),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_Groups_Oplus__class_Oplus(tc_Int_Oint),A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Relation_OId__on(tc_prod(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),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_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_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_Groups_Oplus__class_Oplus(tc_Int_Oint),A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Relation_OId__on(tc_prod(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),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)))))))))))).
% 6.39/6.56 Following clause subsumed by 12008 during input processing: 0 [copy,12247,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_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),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))))))))),c_Divides_Odiv__class_Omod(tc_Int_Oint,A,B)).
% 6.39/6.56 Following clause subsumed by 12016 during input processing: 0 [copy,12248,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_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)))))))).
% 6.39/6.56 Following clause subsumed by 12072 during input processing: 0 [copy,12252,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_Ominus__class_Ominus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Relation_OId__on(tc_prod(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),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)))))))),c_Int_OMin)),B)),c_Int_OMin)))),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Relation_OId__on(tc_prod(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),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)))))))),c_Int_OMin)),B)),C))).
% 6.39/6.56 Following clause subsumed by 12074 during input processing: 0 [copy,12253,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),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)))))))),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(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),c_Groups_Ominus__class_Ominus(tc_Int_Oint)),A))))),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_Int_Oint),c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint)),hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Relation_OId__on(tc_prod(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),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)))))))),c_Int_OMin))))).
% 6.39/6.56 Following clause subsumed by 12077 during input processing: 0 [copy,12254,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(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,B,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,C,C)))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),hAPP(c_Relation_OField(A),D))))).
% 6.39/6.56 Following clause subsumed by 12080 during input processing: 0 [copy,12255,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))))))).
% 6.39/6.56 Following clause subsumed by 12081 during input processing: 0 [copy,12256,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))))))).
% 6.39/6.56 Following clause subsumed by 12082 during input processing: 0 [copy,12257,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))))))).
% 6.39/6.56 Following clause subsumed by 12083 during input processing: 0 [copy,12258,flip.1] {-} hAPP(c_Int_Onat,hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Relation_OId__on(tc_prod(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),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(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_COMBK(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Int_Onat,hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Relation_OId__on(tc_prod(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),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)))))))))),c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,B,A)).
% 6.39/6.56 Following clause subsumed by 12084 during input processing: 0 [copy,12259,flip.1] {-} c_Nitpick_Onumber__of__frac(A,B)=c_Nitpick_OAbs__Frac(A,hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),B),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Relation_OId__on(tc_prod(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),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))))))))).
% 6.39/6.56 Following clause subsumed by 12085 during input processing: 0 [copy,12260,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_Int_Onat,hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Relation_OId__on(tc_prod(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),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)))))))))),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_Int_Onat,hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Relation_OId__on(tc_prod(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),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)))))))))),C)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(B,tc_Nat_Onat),hAPP(c_COMBK(tc_Nat_Onat,B),hAPP(c_Int_Onat,hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Relation_OId__on(tc_prod(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),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)))))))))),D)).
% 6.39/6.56 Following clause subsumed by 12088 during input processing: 0 [copy,12261,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)))).
% 6.39/6.56 Following clause subsumed by 12090 during input processing: 0 [copy,12262,flip.1] {-} c_Complete__Lattice_OSup__class_OSup(tc_fun(A,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_fun(A,tc_HOL_Obool)),c_fNot),hAPP(c_Relation_OImage(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool),c_Relation_OId__on(tc_fun(A,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_fun(A,tc_HOL_Obool)),c_fNot),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,B,B)))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_fun(A,tc_HOL_Obool)),c_fNot),C))))=hAPP(hAPP(c_COMBS(A,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),A),c_fdisj),B)),c_Complete__Lattice_OSup__class_OSup(tc_fun(A,tc_HOL_Obool),C)).
% 6.39/6.56 Following clause subsumed by 12091 during input processing: 0 [copy,12263,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)=c_Complete__Lattice_OSup__class_OSup(tc_fun(A,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_fun(A,tc_HOL_Obool)),c_fNot),hAPP(c_Relation_OImage(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool),c_Relation_OId__on(tc_fun(A,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_fun(A,tc_HOL_Obool)),c_fNot),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,B,B)))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_fun(A,tc_HOL_Obool)),c_fNot),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,C,C))))).
% 6.39/6.56 Following clause subsumed by 12095 during input processing: 0 [copy,12264,flip.1] {-} hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint,A),B)=c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,A,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Relation_OId__on(tc_prod(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),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))))))))).
% 6.39/6.56 Following clause subsumed by 12096 during input processing: 0 [copy,12265,flip.1] {-} c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Int_Oint,A,B)=c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Relation_OId__on(tc_prod(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),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).
% 6.39/6.56 Following clause subsumed by 12097 during input processing: 0 [copy,12266,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_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))))))))))=c_List_Oinsert(A,B,c_List_Olist_ONil(A)).
% 6.39/6.56 Following clause subsumed by 12098 during input processing: 0 [copy,12267,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_Int_Onat,hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Relation_OId__on(tc_prod(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),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)))))))))),c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,B,A))).
% 6.39/6.56 Following clause subsumed by 12099 during input processing: 0 [copy,12268,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_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_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),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)))))))))))),B))).
% 6.39/6.56 Following clause subsumed by 12102 during input processing: 0 [copy,12269,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_Int_Onat,hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Relation_OId__on(tc_prod(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),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)))))))))),c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,B,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(A)),C))))).
% 6.39/6.56 Following clause subsumed by 12112 during input processing: 0 [copy,12270,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_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).
% 6.39/6.57 Following clause subsumed by 12113 during input processing: 0 [copy,12271,flip.1] {-} hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(A,B),C)=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_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))))))))),C).
% 6.39/6.57 Following clause subsumed by 12121 during input processing: 0 [copy,12272,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,hAPP(B,C),hAPP(B,C))))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),hAPP(c_Set_Oimage(D,A,B),E))))=hAPP(c_Set_Oimage(D,A,B),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,D),c_fNot),hAPP(c_Relation_OImage(D,D,c_Relation_OId__on(D,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,D),c_fNot),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,C,C)))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,D),c_fNot),E)))).
% 6.39/6.57 Following clause subsumed by 12122 during input processing: 0 [copy,12273,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(c_Relation_OImage(A,A,c_Relation_OId__on(A,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),C))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),D))))=hAPP(hAPP(c_COMBS(A,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),A),c_fdisj),C)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,B,B)))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),D)))).
% 6.39/6.57 Following clause subsumed by 12124 during input processing: 0 [copy,12274,flip.1] {-} hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_COMBK(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Int_Onat,hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Relation_OId__on(tc_prod(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),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)))))))))),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_Int_Onat,hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Relation_OId__on(tc_prod(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),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)))))))))),c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,B,hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_COMBK(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Int_Onat,hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Relation_OId__on(tc_prod(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),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)))))))))),c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,A,C)))).
% 6.39/6.57 Following clause subsumed by 12125 during input processing: 0 [copy,12275,flip.1] {-} hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_COMBK(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Int_Onat,hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Relation_OId__on(tc_prod(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),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)))))))))),c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onat,hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Relation_OId__on(tc_prod(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),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))))))))),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))).
% 6.39/6.57 Following clause subsumed by 12126 during input processing: 0 [copy,12276,flip.1] {-} hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_COMBK(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Int_Onat,hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Relation_OId__on(tc_prod(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),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)))))))))),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_Int_Onat,hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Relation_OId__on(tc_prod(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),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)))))))))),c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Nat_Onat,A,B)).
% 6.39/6.57 Following clause subsumed by 12127 during input processing: 0 [copy,12277,flip.1] {-} hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint,tc_Nat_Onat),hAPP(c_COMBK(tc_Nat_Onat,tc_Int_Oint),hAPP(c_Int_Onat,hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Relation_OId__on(tc_prod(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),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)))))))))),c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Relation_OId__on(tc_prod(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),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(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint,tc_Nat_Onat),hAPP(c_COMBK(tc_Nat_Onat,tc_Int_Oint),hAPP(c_Int_Onat,hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Relation_OId__on(tc_prod(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),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)))))))))),c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Int_Oint,A,B)).
% 6.39/6.57 Following clause subsumed by 12128 during input processing: 0 [copy,12278,flip.1] {-} hAPP(hAPP(c_COMBS(A,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),A),c_fdisj),hAPP(B,C))),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(D,tc_fun(A,tc_HOL_Obool)),E),B))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(D,tc_fun(A,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,D),c_fNot),hAPP(c_Relation_OImage(D,D,c_Relation_OId__on(D,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,D),c_fNot),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).
% 6.39/6.57 Following clause subsumed by 12129 during input processing: 0 [copy,12279,flip.1] {-} hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_Nat_Onat),A),B)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_COMBK(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Int_Onat,hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Relation_OId__on(tc_prod(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),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)))))))))),c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,B,A))),B).
% 6.39/6.57
% 6.39/6.57 ======= end of input processing =======
% 6.39/6.58
% 6.39/6.58 SEGMENTATION FAULT!! This is probably caused by a
% 6.39/6.58 bug in Otter. Please send copy of the input file to
% 6.39/6.58 otter@mcs.anl.gov, let us know what version of Otter you are
% 6.39/6.58 using, and send any other info that might be useful.
% 6.39/6.58
% 6.39/6.58
% 6.39/6.58 SEGMENTATION FAULT!! This is probably caused by a
% 6.39/6.58 bug in Otter. Please send copy of the input file to
% 6.39/6.58 otter@mcs.anl.gov, let us know what version of Otter you are
% 6.39/6.58 using, and send any other info that might be useful.
% 6.39/6.58
% 6.39/6.58
% 6.39/6.58 The job finished Sun Jun 5 18:27:56 2022
%------------------------------------------------------------------------------