TSTP Solution File: SWW375+1 by SOS---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : SWW375+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Thu Jul 21 01:26:43 EDT 2022
% Result : Unknown 6.43s 6.63s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWW375+1 : TPTP v8.1.0. Released v5.2.0.
% 0.03/0.13 % Command : sos-script %s
% 0.13/0.34 % Computer : n018.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sun Jun 5 03:08:33 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.80/1.98 ----- Otter 3.2, August 2001 -----
% 1.80/1.98 The process was started by sandbox2 on n018.cluster.edu,
% 1.80/1.98 Sun Jun 5 03:08:34 2022
% 1.80/1.98 The command was "./sos". The process ID is 30373.
% 1.80/1.98
% 1.80/1.98 set(prolog_style_variables).
% 1.80/1.98 set(auto).
% 1.80/1.98 dependent: set(auto1).
% 1.80/1.98 dependent: set(process_input).
% 1.80/1.98 dependent: clear(print_kept).
% 1.80/1.98 dependent: clear(print_new_demod).
% 1.80/1.98 dependent: clear(print_back_demod).
% 1.80/1.98 dependent: clear(print_back_sub).
% 1.80/1.98 dependent: set(control_memory).
% 1.80/1.98 dependent: assign(max_mem, 12000).
% 1.80/1.98 dependent: assign(pick_given_ratio, 4).
% 1.80/1.98 dependent: assign(stats_level, 1).
% 1.80/1.98 dependent: assign(pick_semantic_ratio, 3).
% 1.80/1.98 dependent: assign(sos_limit, 5000).
% 1.80/1.98 dependent: assign(max_weight, 60).
% 1.80/1.98 clear(print_given).
% 1.80/1.98
% 1.80/1.98 formula_list(usable).
% 1.80/1.98
% 1.80/1.98 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=8.
% 1.80/1.98
% 1.80/1.98 This ia a non-Horn set with equality. The strategy will be
% 1.80/1.98 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 1.80/1.98 unit deletion, with positive clauses in sos and nonpositive
% 1.80/1.98 clauses in usable.
% 1.80/1.98
% 1.80/1.98 dependent: set(knuth_bendix).
% 1.80/1.98 dependent: set(para_from).
% 1.80/1.98 dependent: set(para_into).
% 1.80/1.98 dependent: clear(para_from_right).
% 1.80/1.98 dependent: clear(para_into_right).
% 1.80/1.98 dependent: set(para_from_vars).
% 1.80/1.98 dependent: set(eq_units_both_ways).
% 1.80/1.98 dependent: set(dynamic_demod_all).
% 1.80/1.98 dependent: set(dynamic_demod).
% 1.80/1.98 dependent: set(order_eq).
% 1.80/1.98 dependent: set(back_demod).
% 1.80/1.98 dependent: set(lrpo).
% 1.80/1.98 dependent: set(hyper_res).
% 1.80/1.98 dependent: set(unit_deletion).
% 1.80/1.98 dependent: set(factor).
% 1.80/1.98
% 1.80/1.98 ------------> process usable:
% 1.80/1.98 Following clause subsumed by 19 during input processing: 0 [] {-} -hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OCall(A,B,C)))|hBOOL(hAPP(c_Com_OWT,hAPP(c_Com_Ocom_OBODY,B))).
% 1.80/1.98 Following clause subsumed by 20 during input processing: 0 [] {-} -hBOOL(hAPP(c_Com_OWT,hAPP(c_Com_Ocom_OBODY,A)))|hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OCall(B,A,C))).
% 1.80/1.98 Following clause subsumed by 30 during input processing: 0 [] {-} c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OSKIP.
% 1.80/1.98 Following clause subsumed by 32 during input processing: 0 [] {-} c_Com_Ocom_OCall(A,B,C)!=c_Com_Ocom_OSKIP.
% 1.80/1.98 Following clause subsumed by 34 during input processing: 0 [] {-} c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OSKIP.
% 1.80/1.98 Following clause subsumed by 53 during input processing: 0 [] {-} hAPP(c_Option_Ooption_OSome(A),B)!=c_Option_Ooption_ONone(A).
% 1.80/1.98 Following clause subsumed by 54 during input processing: 0 [] {-} A!=c_Option_Ooption_ONone(B)|A!=hAPP(c_Option_Ooption_OSome(B),C).
% 1.80/1.98 Following clause subsumed by 27 during input processing: 0 [] {-} -hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OCond(A,B,C)))|hBOOL(hAPP(c_Com_OWT,B)).
% 1.80/1.98 Following clause subsumed by 28 during input processing: 0 [] {-} -hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OCond(A,B,C)))|hBOOL(hAPP(c_Com_OWT,C)).
% 1.80/1.98 Following clause subsumed by 57 during input processing: 0 [] {-} -hBOOL(hAPP(c_Com_OWT,A))| -hBOOL(hAPP(c_Com_OWT,B))|hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OCond(C,A,B))).
% 1.80/1.98 Following clause subsumed by 23 during input processing: 0 [] {-} hAPP(A,B)!=c_Option_Ooption_ONone(C)|c_Map_Omap__comp(C,D,E,F,A,B)=c_Option_Ooption_ONone(D).
% 1.80/1.98 Following clause subsumed by 25 during input processing: 0 [] {-} -hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OSemi(A,B)))|hBOOL(hAPP(c_Com_OWT,A)).
% 1.80/1.98 Following clause subsumed by 26 during input processing: 0 [] {-} -hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OSemi(A,B)))|hBOOL(hAPP(c_Com_OWT,B)).
% 1.80/1.98 Following clause subsumed by 60 during input processing: 0 [] {-} -hBOOL(hAPP(c_Com_OWT,A))| -hBOOL(hAPP(c_Com_OWT,B))|hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OSemi(A,B))).
% 1.80/1.98 Following clause subsumed by 63 during input processing: 0 [flip.1] {-} hAPP(c_Com_Ocom_OBODY,A)!=c_Com_Ocom_OSKIP.
% 1.80/1.98 Following clause subsumed by 66 during input processing: 0 [] {-} hAPP(c_Map_Omap__add(A,B,C,D),E)!=hAPP(c_Option_Ooption_OSome(B),F)|hAPP(D,E)=hAPP(c_Option_Ooption_OSome(B),F)|hAPP(D,E)=c_Option_Ooption_ONone(B).
% 1.80/1.98 Following clause subsumed by 67 during input processing: 0 [] {-} hAPP(c_Map_Omap__add(A,B,C,D),E)!=hAPP(c_Option_Ooption_OSome(B),F)|hAPP(D,E)=hAPP(c_Option_Ooption_OSome(B),F)|hAPP(C,E)=hAPP(c_Option_Ooption_OSome(B),F).
% 1.80/1.98 Following clause subsumed by 75 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(A,B,C)),D),E))|hBOOL(hAPP(A,D))|hBOOL(hAPP(hAPP(c_Natural_Oevalc(C),D),E)).
% 1.80/1.98 Following clause subsumed by 76 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(A,B,C)),D),E))|hBOOL(hAPP(hAPP(c_Natural_Oevalc(B),D),E))| -hBOOL(hAPP(A,D)).
% 1.80/1.98 Following clause subsumed by 77 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(A,B,C)),D),E))|hBOOL(hAPP(hAPP(c_Natural_Oevalc(B),D),E))|hBOOL(hAPP(hAPP(c_Natural_Oevalc(C),D),E)).
% 1.80/1.98 Following clause subsumed by 74 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(A,B,C)),D),E))| -hBOOL(hAPP(A,D))| -hBOOL(hAPP(hAPP(c_Natural_Oevalc(B),D),E)).
% 1.80/1.98 Following clause subsumed by 73 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(A,B,C)),D),E))|hBOOL(hAPP(A,D))| -hBOOL(hAPP(hAPP(c_Natural_Oevalc(C),D),E)).
% 1.80/1.98 Following clause subsumed by 75 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(A,B,C)),D),E))|hBOOL(hAPP(A,D))|hBOOL(hAPP(hAPP(c_Natural_Oevalc(C),D),E)).
% 1.80/1.98 Following clause subsumed by 76 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(A,B,C)),D),E))|hBOOL(hAPP(hAPP(c_Natural_Oevalc(B),D),E))| -hBOOL(hAPP(A,D)).
% 1.80/1.98 Following clause subsumed by 77 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(A,B,C)),D),E))|hBOOL(hAPP(hAPP(c_Natural_Oevalc(B),D),E))|hBOOL(hAPP(hAPP(c_Natural_Oevalc(C),D),E)).
% 1.80/1.98 Following clause subsumed by 74 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(A,B,C)),D),E))| -hBOOL(hAPP(A,D))| -hBOOL(hAPP(hAPP(c_Natural_Oevalc(B),D),E)).
% 1.80/1.98 Following clause subsumed by 73 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(A,B,C)),D),E))|hBOOL(hAPP(A,D))| -hBOOL(hAPP(hAPP(c_Natural_Oevalc(C),D),E)).
% 1.80/1.98 Following clause subsumed by 78 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)).
% 1.80/1.98 Following clause subsumed by 68 during input processing: 0 [] {-} hAPP(A,B)!=hAPP(c_Option_Ooption_OSome(C),D)|hAPP(c_Map_Omap__add(E,C,F,A),B)=hAPP(c_Option_Ooption_OSome(C),D).
% 1.80/1.98 Following clause subsumed by 70 during input processing: 0 [] {-} -hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OLocal(A,B,C)))|hBOOL(hAPP(c_Com_OWT,C)).
% 1.80/1.98 Following clause subsumed by 99 during input processing: 0 [] {-} hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OLocal(A,B,C)))| -hBOOL(hAPP(c_Com_OWT,C)).
% 1.80/1.98 Following clause subsumed by 108 during input processing: 0 [flip.1] {-} c_Com_Ocom_OAss(A,B)!=c_Com_Ocom_OSKIP.
% 1.80/1.98 Following clause subsumed by 113 during input processing: 0 [flip.1] {-} c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OSKIP.
% 1.80/1.98 Following clause subsumed by 72 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)).
% 1.80/1.98 Following clause subsumed by 71 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)).
% 1.80/1.98 Following clause subsumed by 117 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,hAPP(c_Com_Ocom_OBODY,A)),B),hAPP(c_Nat_OSuc,C)),D))| -hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,A))),B),C),D)).
% 1.80/1.98 Following clause subsumed by 122 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OWhile(A,B)),C),D),E))| -hBOOL(hAPP(A,C))| -hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,B),C),D),F))| -hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OWhile(A,B)),F),D),E)).
% 1.80/1.99 Following clause subsumed by 155 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Natural_Oevalc(A),B),C))| -hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,A),B),D),C)).
% 1.80/1.99 Following clause subsumed by 123 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OCond(A,B,C)),D),E),F))|hBOOL(hAPP(A,D))|hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,C),D),E),F)).
% 1.80/1.99 Following clause subsumed by 124 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OCond(A,B,C)),D),E),F))|hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,B),D),E),F))| -hBOOL(hAPP(A,D)).
% 1.80/1.99 Following clause subsumed by 125 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OCond(A,B,C)),D),E),F))|hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,B),D),E),F))|hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,C),D),E),F)).
% 1.80/1.99 Following clause subsumed by 126 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OCond(A,B,C)),D),E),F))| -hBOOL(hAPP(A,D))| -hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,B),D),E),F)).
% 1.80/1.99 Following clause subsumed by 127 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OCond(A,B,C)),D),E),F))|hBOOL(hAPP(A,D))| -hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,C),D),E),F)).
% 1.80/1.99 Following clause subsumed by 123 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OCond(A,B,C)),D),E),F))|hBOOL(hAPP(A,D))|hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,C),D),E),F)).
% 1.80/1.99 Following clause subsumed by 124 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OCond(A,B,C)),D),E),F))|hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,B),D),E),F))| -hBOOL(hAPP(A,D)).
% 1.80/1.99 Following clause subsumed by 125 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OCond(A,B,C)),D),E),F))|hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,B),D),E),F))|hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,C),D),E),F)).
% 1.80/1.99 Following clause subsumed by 126 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OCond(A,B,C)),D),E),F))| -hBOOL(hAPP(A,D))| -hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,B),D),E),F)).
% 1.80/1.99 Following clause subsumed by 127 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OCond(A,B,C)),D),E),F))|hBOOL(hAPP(A,D))| -hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,C),D),E),F)).
% 1.80/1.99 Following clause subsumed by 128 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OSemi(A,B)),C),D),E))| -hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,A),C),D),F))| -hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,B),F),D),E)).
% 1.80/1.99 Following clause subsumed by 120 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)).
% 1.80/1.99 Following clause subsumed by 118 during input processing: 0 [] {-} -hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OWhile(A,B)))|hBOOL(hAPP(c_Com_OWT,B)).
% 1.80/1.99 Following clause subsumed by 168 during input processing: 0 [] {-} -hBOOL(hAPP(c_Com_OWT,A))|hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OWhile(B,A))).
% 1.80/1.99 Following clause subsumed by 182 during input processing: 0 [] {-} c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OSKIP.
% 1.80/1.99 Following clause subsumed by 189 during input processing: 0 [] {-} hAPP(hAPP(hAPP(c_Fun_Ofun__upd(A,B),C),D),E)=C|hAPP(C,D)!=E.
% 1.80/1.99 Following clause subsumed by 195 during input processing: 0 [] {-} hAPP(c_Nat_OSuc,A)!=A.
% 1.80/1.99 Following clause subsumed by 196 during input processing: 0 [] {-} hAPP(c_Nat_OSuc,A)!=hAPP(c_Nat_OSuc,B)|A=B.
% 1.80/1.99 Following clause subsumed by 159 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(A,B)),C),D))|D=C|hBOOL(hAPP(A,C)).
% 1.80/1.99 Following clause subsumed by 134 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OWhile(A,B)),C),D),E))|E=C|hBOOL(hAPP(A,C)).
% 1.80/1.99 Following clause subsumed by 240 during input processing: 0 [] {-} c_Groups_Ozero__class_Ozero(tc_Nat_Onat)!=hAPP(c_Nat_OSuc,A).
% 1.80/1.99 Following clause subsumed by 241 during input processing: 0 [] {-} hAPP(c_Nat_OSuc,A)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 1.80/1.99 Following clause subsumed by 240 during input processing: 0 [] {-} c_Groups_Ozero__class_Ozero(tc_Nat_Onat)!=hAPP(c_Nat_OSuc,A).
% 1.80/1.99 Following clause subsumed by 241 during input processing: 0 [] {-} hAPP(c_Nat_OSuc,A)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 1.80/1.99 Following clause subsumed by 267 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.
% 1.80/1.99 Following clause subsumed by 269 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.
% 1.80/1.99 Following clause subsumed by 304 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)).
% 1.80/1.99 Following clause subsumed by 320 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(A),B),C))|hAPP(c_Map_Orestrict__map(A,D,E,C),B)=hAPP(E,B).
% 1.80/1.99 Following clause subsumed by 325 during input processing: 0 [] {-} A!=B|hBOOL(hAPP(hAPP(c_member(C),A),D))| -hBOOL(hAPP(hAPP(c_member(C),B),D)).
% 1.80/1.99 Following clause subsumed by 312 during input processing: 0 [] {-} A!=B| -hBOOL(hAPP(hAPP(c_member(C),D),A))|hBOOL(hAPP(hAPP(c_member(C),D),B)).
% 1.80/1.99 Following clause subsumed by 311 during input processing: 0 [] {-} A!=B|hBOOL(hAPP(hAPP(c_member(C),D),A))| -hBOOL(hAPP(hAPP(c_member(C),D),B)).
% 1.80/1.99 Following clause subsumed by 313 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(A),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool)))).
% 1.80/1.99 Following clause subsumed by 327 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(A),B),C))|C!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool)).
% 1.80/1.99 Following clause subsumed by 327 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(A),B),C))|C!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool)).
% 1.80/1.99 Following clause subsumed by 190 during input processing: 0 [] {-} A!=B|hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(C,D),E),B),F),A)=F.
% 1.80/1.99 Following clause subsumed by 330 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.
% 1.80/1.99 Following clause subsumed by 316 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.
% 1.80/1.99 Following clause subsumed by 314 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)).
% 1.80/1.99 Following clause subsumed by 316 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_member(A),B),hAPP(hAPP(c_Set_Oinsert(A),C),D)))|B!=C.
% 1.80/1.99 Following clause subsumed by 315 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)).
% 1.80/1.99 Following clause subsumed by 315 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))).
% 1.80/1.99 Following clause subsumed by 336 during input processing: 0 [] {-} hAPP(hAPP(c_Set_Oinsert(A),B),C)!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool)).
% 1.80/1.99 Following clause subsumed by 348 during input processing: 0 [] {-} hAPP(c_Sum__Type_OInl(A,B),C)!=hAPP(c_Sum__Type_OInr(B,A),D).
% 1.80/1.99 Following clause subsumed by 349 during input processing: 0 [] {-} hAPP(c_Sum__Type_OInr(A,B),C)!=hAPP(c_Sum__Type_OInl(B,A),D).
% 1.80/1.99 Following clause subsumed by 313 during input processing: 0 [unit_del,352] {-} -hBOOL(hAPP(hAPP(c_member(A),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool)))).
% 1.80/1.99 Following clause subsumed by 355 during input processing: 0 [] {-} hAPP(c_Sum__Type_OInr(A,B),C)!=hAPP(c_Sum__Type_OInr(A,B),D)|C=D.
% 1.80/2.00 Following clause subsumed by 357 during input processing: 0 [] {-} hAPP(c_Sum__Type_OInl(A,B),C)!=hAPP(c_Sum__Type_OInl(A,B),D)|C=D.
% 1.80/2.00 Following clause subsumed by 350 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).
% 1.80/2.00 Following clause subsumed by 368 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)).
% 1.80/2.00 Following clause subsumed by 367 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)).
% 1.80/2.00 Following clause subsumed by 367 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)).
% 1.80/2.00 Following clause subsumed by 368 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)).
% 1.80/2.00 Following clause subsumed by 369 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)).
% 1.80/2.00 Following clause subsumed by 383 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).
% 1.80/2.00 Following clause subsumed by 405 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)).
% 1.80/2.00 Following clause subsumed by 429 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)).
% 1.80/2.00 Following clause subsumed by 437 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.
% 1.80/2.00 Following clause subsumed by 438 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).
% 1.80/2.00 Following clause subsumed by 444 during input processing: 0 [] {-} -class_Groups_Olinordered__ab__group__add(A)|hAPP(c_Groups_Ouminus__class_Ouminus(A),B)!=B|B=c_Groups_Ozero__class_Ozero(A).
% 1.80/2.00 Following clause subsumed by 446 during input processing: 0 [] {-} -class_Groups_Olinordered__ab__group__add(A)|hAPP(c_Groups_Ouminus__class_Ouminus(A),B)=B|B!=c_Groups_Ozero__class_Ozero(A).
% 1.80/2.00 Following clause subsumed by 454 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(A),B),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(A,tc_HOL_Obool)),C)))| -hBOOL(hAPP(hAPP(c_member(A),B),C)).
% 1.80/2.00 Following clause subsumed by 454 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(A),B),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(A,tc_HOL_Obool)),C)))| -hBOOL(hAPP(hAPP(c_member(A),B),C)).
% 1.80/2.00 Following clause subsumed by 496 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)).
% 1.80/2.00 Following clause subsumed by 501 during input processing: 0 [] {-} A!=B|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(C,tc_HOL_Obool)),A),B)).
% 1.80/2.00 Following clause subsumed by 502 during input processing: 0 [] {-} A!=B|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(C,tc_HOL_Obool)),B),A)).
% 1.80/2.00 Following clause subsumed by 501 during input processing: 0 [] {-} A!=B|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(C,tc_HOL_Obool)),A),B)).
% 1.80/2.00 Following clause subsumed by 502 during input processing: 0 [] {-} A!=B|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(C,tc_HOL_Obool)),B),A)).
% 1.80/2.00 Following clause subsumed by 509 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))).
% 1.80/2.00 Following clause subsumed by 514 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.
% 1.80/2.00 Following clause subsumed by 512 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.
% 1.80/2.00 Following clause subsumed by 515 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool)),B),C))| -hBOOL(hAPP(B,D))|hBOOL(hAPP(C,D)).
% 1.80/2.00 Following clause subsumed by 514 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.
% 1.80/2.00 Following clause subsumed by 514 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.
% 1.80/2.00 Following clause subsumed by 509 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))).
% 1.80/2.00 Following clause subsumed by 511 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)).
% 1.80/2.00 Following clause subsumed by 498 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).
% 1.80/2.00 Following clause subsumed by 498 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))).
% 1.80/2.00 Following clause subsumed by 497 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool)),B),C))| -hBOOL(hAPP(hAPP(c_member(A),D),B))|hBOOL(hAPP(hAPP(c_member(A),D),C)).
% 1.80/2.00 Following clause subsumed by 497 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)).
% 1.80/2.00 Following clause subsumed by 497 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool)),B),C))| -hBOOL(hAPP(hAPP(c_member(A),D),B))|hBOOL(hAPP(hAPP(c_member(A),D),C)).
% 1.80/2.00 Following clause subsumed by 537 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)).
% 1.80/2.00 Following clause subsumed by 538 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)).
% 1.80/2.00 Following clause subsumed by 501 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)).
% 1.80/2.00 Following clause subsumed by 550 during input processing: 0 [] {-} -class_Groups_Oordered__ab__group__add(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),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))).
% 1.80/2.00 Following clause subsumed by 551 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)).
% 1.80/2.00 Following clause subsumed by 553 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))).
% 1.80/2.00 Following clause subsumed by 555 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))).
% 1.80/2.00 Following clause subsumed by 559 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))).
% 1.80/2.00 Following clause subsumed by 491 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_member(A),B),C))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool)),C),hAPP(hAPP(c_Set_Oinsert(A),B),D)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool)),C),D)).
% 1.80/2.00 Following clause subsumed by 492 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_member(A),B),C))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool)),C),hAPP(hAPP(c_Set_Oinsert(A),B),D)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool)),C),D)).
% 1.80/2.00 Following clause subsumed by 536 during input processing: 0 [] {-} A!=c_Orderings_Obot__class_Obot(tc_fun(B,tc_HOL_Obool))|hAPP(c_Set_Oimage(B,C,hAPP(c_COMBK(C,B),D)),A)=c_Orderings_Obot__class_Obot(tc_fun(C,tc_HOL_Obool)).
% 1.80/2.00 Following clause subsumed by 493 during input processing: 0 [] {-} -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))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool)),B),hAPP(hAPP(c_Set_Oinsert(A),C),D))).
% 1.80/2.00 Following clause subsumed by 604 during input processing: 0 [flip.2] {-} -class_Rings_Ozero__neq__one(A)|c_Groups_Ozero__class_Ozero(A)!=c_Groups_Oone__class_Oone(A).
% 1.80/2.00 Following clause subsumed by 620 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)).
% 1.80/2.00 Following clause subsumed by 623 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)).
% 1.80/2.00 Following clause subsumed by 624 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)).
% 1.80/2.00 Following clause subsumed by 623 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)).
% 1.80/2.00 Following clause subsumed by 620 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)).
% 1.80/2.00 Following clause subsumed by 629 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)).
% 1.80/2.00 Following clause subsumed by 631 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)).
% 1.80/2.00 Following clause subsumed by 633 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).
% 1.80/2.00 Following clause subsumed by 635 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).
% 1.80/2.00 Following clause subsumed by 637 during input processing: 0 [] {-} -class_Lattices_Osemilattice__sup(A)|hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(A),B),B)=B.
% 1.80/2.00 Following clause subsumed by 639 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)).
% 1.80/2.00 Following clause subsumed by 639 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)).
% 1.80/2.00 Following clause subsumed by 639 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)).
% 1.80/2.00 Following clause subsumed by 648 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),C))|B!=C.
% 1.80/2.00 Following clause subsumed by 611 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)).
% 1.80/2.00 Following clause subsumed by 612 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)).
% 1.80/2.00 Following clause subsumed by 638 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)).
% 1.80/2.00 Following clause subsumed by 638 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.
% 1.80/2.00 Following clause subsumed by 638 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)).
% 1.80/2.00 Following clause subsumed by 638 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.
% 1.80/2.00 Following clause subsumed by 638 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)).
% 1.80/2.00 Following clause subsumed by 651 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|B!=C| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),C)).
% 1.80/2.00 Following clause subsumed by 628 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)).
% 1.80/2.01 Following clause subsumed by 676 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)).
% 1.80/2.01 Following clause subsumed by 673 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)).
% 1.80/2.01 Following clause subsumed by 674 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)).
% 1.80/2.01 Following clause subsumed by 676 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)).
% 1.80/2.01 Following clause subsumed by 678 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.
% 1.80/2.01 Following clause subsumed by 614 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))).
% 1.80/2.01 Following clause subsumed by 615 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))).
% 1.80/2.01 Following clause subsumed by 616 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)).
% 1.80/2.01 Following clause subsumed by 615 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)).
% 1.80/2.01 Following clause subsumed by 614 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)).
% 1.80/2.01 Following clause subsumed by 699 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.
% 1.80/2.01 Following clause subsumed by 651 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.
% 1.80/2.01 Following clause subsumed by 698 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),C),B))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),C),B)).
% 1.80/2.01 Following clause subsumed by 699 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)).
% 1.80/2.01 Following clause subsumed by 700 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),C))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),C))|B=C.
% 1.80/2.01 Following clause subsumed by 704 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)).
% 1.80/2.01 Following clause subsumed by 699 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.
% 1.80/2.01 Following clause subsumed by 512 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),C))|B!=C.
% 1.80/2.01 Following clause subsumed by 701 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)).
% 1.80/2.01 Following clause subsumed by 705 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),C))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),C)).
% 1.80/2.01 Following clause subsumed by 648 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),C))|B!=C.
% 1.80/2.01 Following clause subsumed by 699 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),C))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),C))|B=C.
% 1.80/2.01 Following clause subsumed by 704 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)).
% 1.80/2.01 Following clause subsumed by 704 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)).
% 1.80/2.01 Following clause subsumed by 702 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)).
% 1.80/2.01 Following clause subsumed by 704 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)).
% 1.80/2.01 Following clause subsumed by 702 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)).
% 1.80/2.01 Following clause subsumed by 712 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)).
% 1.80/2.01 Following clause subsumed by 714 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)).
% 1.80/2.01 Following clause subsumed by 722 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.
% 1.80/2.01 Following clause subsumed by 729 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)).
% 1.80/2.01 Following clause subsumed by 730 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))).
% 1.80/2.01 Following clause subsumed by 733 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)).
% 1.80/2.01 Following clause subsumed by 501 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool)),B),C))|B!=C.
% 1.80/2.01 Following clause subsumed by 733 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)).
% 1.80/2.01 Following clause subsumed by 734 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(A,tc_HOL_Obool)),B),C))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool)),B),C))|B=C.
% 1.80/2.01 Following clause subsumed by 609 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 1.80/2.01 Following clause subsumed by 736 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)).
% 1.80/2.01 Following clause subsumed by 609 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 1.80/2.01 Following clause subsumed by 610 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)).
% 1.80/2.01 Following clause subsumed by 740 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.
% 1.80/2.01 Following clause subsumed by 742 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.
% 1.80/2.01 Following clause subsumed by 741 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))).
% 1.80/2.01 Following clause subsumed by 740 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.
% 1.80/2.01 Following clause subsumed by 743 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)).
% 1.80/2.01 Following clause subsumed by 751 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),A),B))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),A),hAPP(c_Nat_OSuc,B))).
% 1.80/2.01 Following clause subsumed by 750 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).
% 1.80/2.01 Following clause subsumed by 766 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)).
% 1.80/2.01 Following clause subsumed by 767 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)).
% 1.80/2.01 Following clause subsumed by 821 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).
% 1.80/2.01 Following clause subsumed by 761 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)).
% 1.80/2.01 Following clause subsumed by 760 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)).
% 1.80/2.01 Following clause subsumed by 834 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)).
% 1.80/2.01 Following clause subsumed by 841 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)).
% 1.80/2.01 Following clause subsumed by 854 during input processing: 0 [] {-} -class_Groups_Oordered__comm__monoid__add(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),c_Groups_Ozero__class_Ozero(A)),B))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),C))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),C))).
% 1.80/2.01 Following clause subsumed by 855 during input processing: 0 [] {-} -class_Groups_Oordered__comm__monoid__add(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),B))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),c_Groups_Ozero__class_Ozero(A)),C))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),C))).
% 1.80/2.01 Following clause subsumed by 858 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))).
% 1.80/2.01 Following clause subsumed by 859 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)).
% 1.80/2.01 Following clause subsumed by 870 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.
% 1.80/2.01 Following clause subsumed by 881 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))).
% 1.80/2.01 Following clause subsumed by 889 during input processing: 0 [] {-} -class_Rings_Olinordered__idom(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),B))|c_Groups_Osgn__class_Osgn(A,B)=c_Groups_Oone__class_Oone(A).
% 1.80/2.01 Following clause subsumed by 897 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.
% 1.80/2.01 Following clause subsumed by 895 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)).
% 1.80/2.01 Following clause subsumed by 898 during input processing: 0 [] {-} A!=B|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),A),B)).
% 1.80/2.01 Following clause subsumed by 895 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)).
% 1.80/2.01 Following clause subsumed by 897 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),A),B))|A=B|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),B)).
% 1.80/2.01 Following clause subsumed by 895 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)).
% 1.80/2.01 Following clause subsumed by 898 during input processing: 0 [] {-} A!=B|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),A),B)).
% 1.80/2.02 Following clause subsumed by 896 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),B))|A!=B.
% 1.80/2.02 Following clause subsumed by 896 during input processing: 0 [] {-} A!=B| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),B)).
% 1.80/2.02 Following clause subsumed by 909 during input processing: 0 [] {-} A!=B| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B),A)).
% 1.80/2.02 Following clause subsumed by 910 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),A)).
% 1.80/2.02 Following clause subsumed by 925 during input processing: 0 [] {-} -class_Rings_Ocomm__semiring__1(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)),D)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),D)).
% 1.80/2.02 Following clause subsumed by 925 during input processing: 0 [] {-} -class_Rings_Ocomm__semiring__1(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),E))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),E))).
% 1.80/2.02 Following clause subsumed by 923 during input processing: 0 [] {-} -class_Rings_Ocomm__semiring__1(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),E))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)),E)).
% 1.80/2.02 Following clause subsumed by 928 during input processing: 0 [] {-} -class_Lattices_Oab__semigroup__idem__mult(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),B)=B.
% 1.80/2.02 Following clause subsumed by 916 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).
% 1.80/2.02 Following clause subsumed by 916 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.
% 1.80/2.02 Following clause subsumed by 916 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.
% 1.80/2.02 Following clause subsumed by 957 during input processing: 0 [] {-} -class_Rings_Ono__zero__divisors(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)!=c_Groups_Ozero__class_Ozero(A)|B=c_Groups_Ozero__class_Ozero(A)|C=c_Groups_Ozero__class_Ozero(A).
% 1.80/2.02 Following clause subsumed by 958 during input processing: 0 [] {-} -class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(A)|B=C|D=E|hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),E))!=hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),E)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),D)).
% 1.80/2.02 Following clause subsumed by 959 during input processing: 0 [] {-} -class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(A)|B!=C|hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),E))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),E)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),D)).
% 1.80/2.02 Following clause subsumed by 960 during input processing: 0 [] {-} -class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(A)|B!=C|hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),B)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),E),C))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),C)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),E),B)).
% 1.80/2.02 Following clause subsumed by 972 during input processing: 0 [] {-} -class_Rings_Olinordered__semidom(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B),C))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(c_Nat_Osemiring__1__class_Oof__nat(A),B)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(A),C))).
% 1.80/2.02 Following clause subsumed by 971 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)).
% 1.80/2.02 Following clause subsumed by 893 during input processing: 0 [] {-} hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|A!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 1.80/2.02 Following clause subsumed by 988 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)).
% 1.80/2.02 Following clause subsumed by 987 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)).
% 1.80/2.02 Following clause subsumed by 899 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)).
% 1.80/2.02 Following clause subsumed by 900 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)).
% 1.80/2.02 Following clause subsumed by 982 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.
% 1.80/2.02 Following clause subsumed by 992 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)).
% 1.80/2.02 Following clause subsumed by 900 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)).
% 1.80/2.02 Following clause subsumed by 1010 during input processing: 0 [] {-} hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B)!=c_Groups_Oone__class_Oone(tc_Nat_Onat)|A=c_Groups_Oone__class_Oone(tc_Nat_Onat).
% 1.80/2.02 Following clause subsumed by 1012 during input processing: 0 [] {-} hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B)!=c_Groups_Oone__class_Oone(tc_Nat_Onat)|B=c_Groups_Oone__class_Oone(tc_Nat_Onat).
% 1.80/2.02 Following clause subsumed by 1014 during input processing: 0 [] {-} hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B)=c_Groups_Oone__class_Oone(tc_Nat_Onat)|A!=c_Groups_Oone__class_Oone(tc_Nat_Onat)|B!=c_Groups_Oone__class_Oone(tc_Nat_Onat).
% 1.80/2.03 Following clause subsumed by 1023 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))).
% 1.80/2.03 Following clause subsumed by 1021 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))).
% 1.80/2.03 Following clause subsumed by 1021 during input processing: 0 [] {-} -class_Rings_Oordered__cancel__semiring(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),c_Groups_Ozero__class_Ozero(A)),B))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),C),c_Groups_Ozero__class_Ozero(A)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),B)),c_Groups_Ozero__class_Ozero(A))).
% 1.80/2.03 Following clause subsumed by 1020 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))).
% 1.80/2.03 Following clause subsumed by 1045 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)).
% 1.80/2.03 Following clause subsumed by 1051 during input processing: 0 [] {-} -class_Rings_Olinordered__semiring__strict(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),B))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),C),c_Groups_Ozero__class_Ozero(A)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),B)),c_Groups_Ozero__class_Ozero(A))).
% 1.80/2.03 Following clause subsumed by 1058 during input processing: 0 [] {-} -class_Rings_Olinordered__ring__strict(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),B))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),C),D)).
% 1.80/2.03 Following clause subsumed by 1045 during input processing: 0 [] {-} -class_Rings_Olinordered__ring__strict(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),c_Groups_Ozero__class_Ozero(A)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),D),C)).
% 1.80/2.03 Following clause subsumed by 1046 during input processing: 0 [] {-} -class_Rings_Olinordered__ring__strict(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),C)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),C),c_Groups_Ozero__class_Ozero(A)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),D),B)).
% 1.80/2.03 Following clause subsumed by 1078 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))).
% 1.80/2.03 Following clause subsumed by 1192 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),c_Groups_Oone__class_Oone(tc_Int_Oint))),B))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),A),B)).
% 1.80/2.03 Following clause subsumed by 981 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.
% 1.80/2.03 Following clause subsumed by 983 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).
% 1.80/2.03 Following clause subsumed by 982 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.
% 1.80/2.03 Following clause subsumed by 992 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)).
% 1.80/2.03 Following clause subsumed by 987 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),A))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(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)).
% 1.80/2.03 Following clause subsumed by 982 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.
% 1.80/2.03 Following clause subsumed by 997 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)).
% 1.80/2.03 Following clause subsumed by 900 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)).
% 1.80/2.03 Following clause subsumed by 904 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)).
% 1.80/2.03 Following clause subsumed by 905 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)).
% 1.80/2.03 Following clause subsumed by 907 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)).
% 1.80/2.03 Following clause subsumed by 908 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)).
% 1.80/2.03 Following clause subsumed by 532 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))).
% 1.80/2.04 Following clause subsumed by 507 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))).
% 1.80/2.04 Following clause subsumed by 1207 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.
% 1.80/2.04 Following clause subsumed by 1208 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.
% 1.80/2.04 Following clause subsumed by 771 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))).
% 1.80/2.04 Following clause subsumed by 770 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))).
% 1.80/2.04 Following clause subsumed by 895 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)).
% 1.80/2.04 Following clause subsumed by 761 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))).
% 1.80/2.04 Following clause subsumed by 760 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))).
% 1.80/2.04 Following clause subsumed by 1245 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).
% 1.80/2.04 Following clause subsumed by 1262 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)).
% 1.80/2.04 Following clause subsumed by 1290 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)).
% 1.80/2.04 Following clause subsumed by 1289 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)).
% 1.80/2.04 Following clause subsumed by 870 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).
% 1.80/2.04 Following clause subsumed by 1346 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)).
% 1.80/2.04 Following clause subsumed by 1347 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)).
% 1.80/2.04 Following clause subsumed by 1356 during input processing: 0 [] {-} -class_Lattices_Osemilattice__inf(A)|hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(A),B),B)=B.
% 1.80/2.04 Following clause subsumed by 1357 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).
% 1.80/2.04 Following clause subsumed by 1359 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).
% 1.80/2.04 Following clause subsumed by 1361 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)).
% 1.80/2.04 Following clause subsumed by 1363 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)).
% 1.80/2.04 Following clause subsumed by 1351 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)).
% 1.80/2.04 Following clause subsumed by 1369 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.
% 1.80/2.04 Following clause subsumed by 1373 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))).
% 1.80/2.04 Following clause subsumed by 1373 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))).
% 1.80/2.04 Following clause subsumed by 1371 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)).
% 1.80/2.04 Following clause subsumed by 1372 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)).
% 1.80/2.04 Following clause subsumed by 1349 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)).
% 1.80/2.04 Following clause subsumed by 1350 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)).
% 1.80/2.04 Following clause subsumed by 1348 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)).
% 1.80/2.04 Following clause subsumed by 1349 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)).
% 1.80/2.04 Following clause subsumed by 1350 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)).
% 1.80/2.04 Following clause subsumed by 702 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))).
% 1.80/2.04 Following clause subsumed by 704 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))).
% 1.80/2.04 Following clause subsumed by 1419 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.
% 1.80/2.04 Following clause subsumed by 1420 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.
% 1.80/2.04 Following clause subsumed by 1428 during input processing: 0 [flip.2] {-} -class_Int_Onumber__ring(A)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),hAPP(c_Int_Onumber__class_Onumber__of(A),B)),hAPP(c_Int_Onumber__class_Onumber__of(A),C))=hAPP(c_Int_Onumber__class_Onumber__of(A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B),C)).
% 1.80/2.04 Following clause subsumed by 1429 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)).
% 1.80/2.04 Following clause subsumed by 1430 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)).
% 1.80/2.04 Following clause subsumed by 1432 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)).
% 1.80/2.04 Following clause subsumed by 1438 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)).
% 1.80/2.04 Following clause subsumed by 1443 during input processing: 0 [] {-} hAPP(c_Int_Onat,A)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),A),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 1.80/2.04 Following clause subsumed by 1446 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)).
% 1.80/2.04 Following clause subsumed by 1453 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.
% 1.80/2.05 Following clause subsumed by 1448 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)).
% 1.80/2.05 Following clause subsumed by 1448 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)).
% 1.80/2.05 Following clause subsumed by 1468 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)).
% 1.80/2.05 Following clause subsumed by 1493 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)).
% 1.80/2.05 Following clause subsumed by 1495 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)).
% 1.80/2.05 Following clause subsumed by 507 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))).
% 1.80/2.05 Following clause subsumed by 1528 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).
% 1.80/2.05 Following clause subsumed by 1530 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).
% 1.80/2.05 Following clause subsumed by 1454 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)).
% 1.80/2.05 Following clause subsumed by 1455 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))).
% 1.80/2.05 Following clause subsumed by 1456 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))).
% 1.80/2.05 Following clause subsumed by 1545 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)).
% 1.80/2.05 Following clause subsumed by 532 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))).
% 1.80/2.05 Following clause subsumed by 1574 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.
% 1.80/2.05 Following clause subsumed by 1594 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).
% 1.80/2.05 Following clause subsumed by 1597 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,$f97(D,C,B,A,E))=D.
% 1.80/2.05 Following clause subsumed by 1597 during input processing: 0 [] {-} -c_Fun_Oinj__on(A,B,C,c_Orderings_Otop__class_Otop(tc_fun(A,tc_HOL_Obool)))|hBOOL(hAPP(hAPP(c_member(B),D),hAPP(c_Set_Oimage(A,B,C),c_Orderings_Otop__class_Otop(tc_fun(A,tc_HOL_Obool)))))|D!=hAPP(C,E)|$f97(D,C,B,A,E)!=E.
% 1.80/2.05 Following clause subsumed by 532 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)).
% 1.80/2.05 Following clause subsumed by 1625 during input processing: 0 [flip.1] {-} hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),A)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),A),c_Int_OPls)).
% 1.80/2.05 Following clause subsumed by 1626 during input processing: 0 [flip.1] {-} hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),A)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),A),c_Int_OPls)).
% 1.80/2.05 Following clause subsumed by 507 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)).
% 1.80/2.05 Following clause subsumed by 1693 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).
% 1.80/2.05 Following clause subsumed by 1694 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).
% 1.80/2.05 Following clause subsumed by 1695 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)).
% 1.80/2.05 Following clause subsumed by 1696 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)).
% 1.80/2.05 Following clause subsumed by 1698 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)).
% 1.80/2.06 Following clause subsumed by 1699 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)).
% 1.80/2.06 Following clause subsumed by 1702 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.
% 1.80/2.06 Following clause subsumed by 1706 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))).
% 1.80/2.06 Following clause subsumed by 1706 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))).
% 1.80/2.06 Following clause subsumed by 1704 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)).
% 1.80/2.06 Following clause subsumed by 1705 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)).
% 1.80/2.06 Following clause subsumed by 1713 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)).
% 1.80/2.06 Following clause subsumed by 1714 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)).
% 1.80/2.06 Following clause subsumed by 1732 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)).
% 1.80/2.06 Following clause subsumed by 1733 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)).
% 1.80/2.06 Following clause subsumed by 1734 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).
% 1.80/2.06 Following clause subsumed by 1735 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).
% 1.80/2.06 Following clause subsumed by 1744 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)).
% 1.80/2.06 Following clause subsumed by 1741 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)).
% 1.80/2.06 Following clause subsumed by 1742 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)).
% 1.80/2.06 Following clause subsumed by 1744 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)).
% 1.80/2.06 Following clause subsumed by 1746 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.
% 1.80/2.06 Following clause subsumed by 1748 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)).
% 1.80/2.06 Following clause subsumed by 1747 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)).
% 1.80/2.06 Following clause subsumed by 1754 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)).
% 1.80/2.06 Following clause subsumed by 1753 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)).
% 1.80/2.06 Following clause subsumed by 1762 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)).
% 1.80/2.06 Following clause subsumed by 1761 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)).
% 1.80/2.06 Following clause subsumed by 1773 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)).
% 1.80/2.06 Following clause subsumed by 1774 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)).
% 1.80/2.06 Following clause subsumed by 1775 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)).
% 1.80/2.06 Following clause subsumed by 1776 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)).
% 1.80/2.06 Following clause subsumed by 1778 during input processing: 0 [flip.1] {-} c_Int_OBit1(A)!=c_Int_OPls.
% 1.80/2.06 Following clause subsumed by 1801 during input processing: 0 [flip.2] {-} -class_Int_Onumber__ring(A)|hAPP(c_Int_Onumber__class_Onumber__of(A),c_Int_OBit1(c_Int_OPls))=c_Groups_Oone__class_Oone(A).
% 1.80/2.06 Following clause subsumed by 1846 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)).
% 1.80/2.06 Following clause subsumed by 1847 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)).
% 1.80/2.06 Following clause subsumed by 1848 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)).
% 1.80/2.06 Following clause subsumed by 1849 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)).
% 1.80/2.07 Following clause subsumed by 1862 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),A))|hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Int_Onat,A)),B)=hAPP(c_Int_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),A),B)).
% 1.80/2.07 Following clause subsumed by 1845 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))).
% 1.80/2.07 Following clause subsumed by 1877 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)).
% 1.80/2.07 Following clause subsumed by 1887 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)).
% 1.80/2.07 Following clause subsumed by 1888 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)).
% 1.80/2.07 Following clause subsumed by 1893 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)).
% 1.80/2.07 Following clause subsumed by 1894 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)).
% 1.80/2.07 Following clause subsumed by 1868 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)).
% 1.80/2.07 Following clause subsumed by 1915 during input processing: 0 [] {-} -hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),A)))|hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),A)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),B))=hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),B)).
% 1.80/2.07 Following clause subsumed by 1934 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)).
% 1.80/2.07 Following clause subsumed by 1935 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)).
% 1.80/2.07 Following clause subsumed by 1936 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)).
% 1.80/2.07 Following clause subsumed by 1937 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)).
% 1.80/2.07 Following clause subsumed by 1692 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hAPP(hAPP(c_Orderings_Oord__class_Omin(A),B),B)=B.
% 1.80/2.07 Following clause subsumed by 1736 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hAPP(hAPP(c_Orderings_Oord__class_Omax(A),B),B)=B.
% 1.90/2.08 Following clause subsumed by 1964 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)).
% 1.90/2.08 Following clause subsumed by 2011 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)).
% 1.90/2.08 Following clause subsumed by 2010 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)).
% 1.90/2.08 Following clause subsumed by 2039 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).
% 1.90/2.08 Following clause subsumed by 2041 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).
% 1.90/2.08 Following clause subsumed by 2048 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).
% 1.90/2.08 Following clause subsumed by 2085 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(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))).
% 1.90/2.08 Following clause subsumed by 2098 during input processing: 0 [] {-} -class_Divides_Osemiring__div(A)|B=c_Groups_Ozero__class_Ozero(A)|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(c_Divides_Odiv__class_Odiv(A,C),D).
% 1.90/2.08 Following clause subsumed by 2126 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),A))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint,A),B)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B),A))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B)).
% 1.90/2.08 Following clause subsumed by 2121 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),A))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),A),B))|hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint,A),B)=c_Groups_Ozero__class_Ozero(tc_Int_Oint).
% 1.90/2.08 Following clause subsumed by 2122 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),A),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B),A))|hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint,A),B)=c_Groups_Ozero__class_Ozero(tc_Int_Oint).
% 1.90/2.09 Following clause subsumed by 2139 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))).
% 1.90/2.09 Following clause subsumed by 2092 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)).
% 1.90/2.09 Following clause subsumed by 2141 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))).
% 1.90/2.09 Following clause subsumed by 2091 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))).
% 1.90/2.09 Following clause subsumed by 2096 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).
% 1.90/2.09 Following clause subsumed by 2097 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).
% 1.90/2.09 Following clause subsumed by 2267 during input processing: 0 [] {-} c_Int_OBit0(A)!=c_Int_OMin.
% 1.90/2.09 Following clause subsumed by 2275 during input processing: 0 [] {-} c_Int_OPls!=c_Int_OMin.
% 1.90/2.09 Following clause subsumed by 2264 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.
% 1.90/2.09 Following clause subsumed by 2311 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)).
% 1.90/2.09 Following clause subsumed by 2317 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).
% 1.90/2.09 Following clause subsumed by 1521 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).
% 1.90/2.09 Following clause subsumed by 2277 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(c_Divides_Odiv__class_Odiv(tc_Nat_Onat,B),A)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 1.90/2.09 Following clause subsumed by 2324 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(c_Divides_Odiv__class_Odiv(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),B),A)),A))=hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat,B),A).
% 1.90/2.09 Following clause subsumed by 2334 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_Divides_Odiv__class_Odiv(tc_Nat_Onat,hAPP(c_Int_Onat,A)),hAPP(c_Int_Onat,B))=hAPP(c_Int_Onat,hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint,A),B)).
% 1.91/2.10 Following clause subsumed by 2345 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)).
% 1.91/2.10 Following clause subsumed by 2328 during input processing: 0 [] {-} hBOOL(hAPP(A,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))).
% 1.91/2.10 Following clause subsumed by 313 during input processing: 0 [unit_del,2381] {-} -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)))).
% 1.91/2.10 Following clause subsumed by 2408 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))).
% 1.91/2.10 Following clause subsumed by 2381 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(A,tc_fun(B,tc_HOL_Obool))),C),D)).
% 1.91/2.10 Following clause subsumed by 2411 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)).
% 1.91/2.10 Following clause subsumed by 2410 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)).
% 1.91/2.10 Following clause subsumed by 2418 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)).
% 1.91/2.10 Following clause subsumed by 2413 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)).
% 1.91/2.10 Following clause subsumed by 2414 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)).
% 1.91/2.10 Following clause subsumed by 2421 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.
% 1.91/2.10 Following clause subsumed by 2422 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.
% 1.91/2.10 Following clause subsumed by 2430 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)).
% 1.91/2.10 Following clause subsumed by 2430 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).
% 1.91/2.11 Following clause subsumed by 2464 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)).
% 1.91/2.11 Following clause subsumed by 2465 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).
% 1.91/2.11 Following clause subsumed by 2466 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).
% 1.91/2.11 Following clause subsumed by 2430 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).
% 1.91/2.11 Following clause subsumed by 2432 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).
% 1.91/2.11 Following clause subsumed by 1243 during input processing: 0 [] {-} -hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_fun(tc_Int_Oint,tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))),tc_prod(tc_Int_Oint,tc_Int_Oint)),c_Smallcheck_Osmall_H__rel),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_Int_Oint,tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))),tc_prod(tc_Int_Oint,tc_Int_Oint)),A),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),B),C))))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B),C))|c_Smallcheck_Osmall_H(A,B,C)=c_Option_Ooption_ONone(tc_List_Olist(tc_Code__Evaluation_Oterm)).
% 1.91/2.11 Following clause subsumed by 2476 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)).
% 1.91/2.11 Following clause subsumed by 2476 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)).
% 1.91/2.11 Following clause subsumed by 2453 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).
% 1.91/2.11 Following clause subsumed by 2454 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).
% 1.93/2.12 Following clause subsumed by 2401 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).
% 1.93/2.12 Following clause subsumed by 2402 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)).
% 1.93/2.12 Following clause subsumed by 2403 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)).
% 1.93/2.12 Following clause subsumed by 2373 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.
% 1.93/2.12 Following clause subsumed by 2527 during input processing: 0 [] {-} hAPP(c_Product__Type_Ofst(A,B),C)!=hAPP(c_Product__Type_Ofst(A,B),D)|hAPP(c_Product__Type_Osnd(A,B),C)!=hAPP(c_Product__Type_Osnd(A,B),D)|C=D.
% 1.93/2.12 Following clause subsumed by 2566 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))).
% 1.93/2.12 Following clause subsumed by 2590 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_member(A),B),hAPP(c_Relation_OImage(C,A,D),E)))| -hBOOL(hAPP(hAPP(c_member(C),F),E))| -hBOOL(hAPP(hAPP(c_member(tc_prod(C,A)),hAPP(hAPP(c_Product__Type_OPair(C,A),F),B)),D)).
% 1.93/2.12 Following clause subsumed by 2598 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))).
% 1.93/2.12 Following clause subsumed by 2598 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))).
% 1.93/2.12 Following clause subsumed by 2603 during input processing: 0 [] {-} -class_Finite__Set_Ofinite(A)|hBOOL(hAPP(c_Finite__Set_Ofinite(A),B)).
% 1.93/2.12 Following clause subsumed by 2599 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)).
% 1.93/2.12 Following clause subsumed by 2606 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)).
% 1.93/2.12 Following clause subsumed by 2603 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)))).
% 1.93/2.12 Following clause subsumed by 2608 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)).
% 1.93/2.13 Following clause subsumed by 2595 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)).
% 1.93/2.13 Following clause subsumed by 2614 during input processing: 0 [] {-} -hBOOL(hAPP(c_Finite__Set_Ofinite(A),B))| -hBOOL(hAPP(c_Finite__Set_Ofinite(C),D))|hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(A,C)),c_Sum__Type_OPlus(A,C,B,D))).
% 1.93/2.13 Following clause subsumed by 2612 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)).
% 1.93/2.13 Following clause subsumed by 2613 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)).
% 1.93/2.13 Following clause subsumed by 2721 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)).
% 1.93/2.13 Following clause subsumed by 2722 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)).
% 1.93/2.13 Following clause subsumed by 2723 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)).
% 1.93/2.13 Following clause subsumed by 2724 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)).
% 1.93/2.13 Following clause subsumed by 2728 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)).
% 1.93/2.13 Following clause subsumed by 2730 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)).
% 1.95/2.14 Following clause subsumed by 2732 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)).
% 1.95/2.14 Following clause subsumed by 2734 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)).
% 1.95/2.14 Following clause subsumed by 2712 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),$f145(B,A)),$f144(B,A))),hAPP(hAPP(c_Set_Oinsert(A),$f145(B,A)),hAPP(hAPP(c_Set_Oinsert(A),$f144(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)).
% 1.95/2.14 Following clause subsumed by 2711 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),$f147(B,A)),$f146(B,A))),hAPP(hAPP(c_Set_Oinsert(A),$f147(B,A)),hAPP(hAPP(c_Set_Oinsert(A),$f146(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)).
% 1.95/2.14 Following clause subsumed by 2759 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)).
% 1.95/2.14 Following clause subsumed by 2761 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).
% 1.95/2.14 Following clause subsumed by 2770 during input processing: 0 [] {-} -hBOOL(hAPP(c_Finite__Set_Ofinite(A),B))|hAPP(c_Finite__Set_Ocard(C),hAPP(c_Set_Oimage(A,C,D),B))!=hAPP(c_Finite__Set_Ocard(A),B)|c_Fun_Oinj__on(A,C,D,B).
% 1.95/2.14 Following clause subsumed by 2778 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)).
% 1.95/2.14 Following clause subsumed by 2765 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)).
% 1.95/2.14 Following clause subsumed by 2782 during input processing: 0 [flip.3] {-} -hBOOL(hAPP(c_Finite__Set_Ofinite(A),B))| -hBOOL(hAPP(c_Finite__Set_Ofinite(A),C))|hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(A),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool)),B),C))),hAPP(c_Finite__Set_Ocard(A),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(A,tc_HOL_Obool)),B),C)))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(A),B)),hAPP(c_Finite__Set_Ocard(A),C)).
% 1.95/2.14 Following clause subsumed by 2803 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))).
% 1.95/2.14 Following clause subsumed by 2789 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)).
% 1.95/2.14 Following clause subsumed by 2790 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)).
% 1.95/2.14 Following clause subsumed by 2796 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)).
% 1.95/2.15 Following clause subsumed by 2798 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)).
% 1.95/2.15 Following clause subsumed by 2756 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)).
% 1.95/2.15 Following clause subsumed by 2841 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).
% 1.95/2.15 Following clause subsumed by 2855 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).
% 1.95/2.15 Following clause subsumed by 2842 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).
% 1.95/2.17 Following clause subsumed by 2842 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).
% 1.95/2.17 Following clause subsumed by 2848 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)).
% 1.95/2.17 Following clause subsumed by 2872 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)).
% 1.95/2.17 Following clause subsumed by 2873 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)).
% 1.95/2.17 Following clause subsumed by 2878 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)).
% 1.95/2.17 Following clause subsumed by 2885 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).
% 1.95/2.17 Following clause subsumed by 2887 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.
% 1.95/2.17 Following clause subsumed by 2912 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.
% 1.95/2.17 Following clause subsumed by 2910 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).
% 1.95/2.17 Following clause subsumed by 2953 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.
% 1.95/2.21 Following clause subsumed by 3042 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)),B))|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)))))).
% 1.95/2.21 Following clause subsumed by 3149 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)).
% 1.95/2.21 Following clause subsumed by 3147 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))).
% 1.95/2.21 Following clause subsumed by 3064 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))).
% 1.95/2.21 Following clause subsumed by 3176 during input processing: 0 [] {-} -class_Fields_Olinordered__field(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),B))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),C),B)),D))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),B))).
% 1.95/2.21 Following clause subsumed by 3202 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)).
% 1.95/2.21 Following clause subsumed by 3205 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)).
% 1.95/2.21 Following clause subsumed by 3319 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.
% 1.95/2.21 Following clause subsumed by 3320 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.
% 1.95/2.21 Following clause subsumed by 3423 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).
% 1.95/2.21 Following clause subsumed by 3424 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).
% 1.95/2.21 Following clause subsumed by 3409 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)).
% 2.03/2.24 Following clause subsumed by 3448 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)).
% 2.03/2.24 Following clause subsumed by 3452 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).
% 2.03/2.24 Following clause subsumed by 3424 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).
% 2.03/2.24 Following clause subsumed by 3481 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).
% 2.03/2.24 Following clause subsumed by 3553 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)).
% 2.03/2.24 Following clause subsumed by 3558 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).
% 2.03/2.24 Following clause subsumed by 3612 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)))).
% 2.03/2.24 Following clause subsumed by 3615 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)).
% 2.03/2.24 Following clause subsumed by 3612 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)).
% 2.03/2.24 Following clause subsumed by 3630 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.
% 2.03/2.24 Following clause subsumed by 3645 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)).
% 2.03/2.24 Following clause subsumed by 3658 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))).
% 2.03/2.29 Following clause subsumed by 3695 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)).
% 2.03/2.29 Following clause subsumed by 3724 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_member(tc_prod(A,A)),hAPP(hAPP(c_Product__Type_OPair(A,A),B),C)),c_Relation_OId__on(A,D)))|B!=C| -hBOOL(hAPP(hAPP(c_member(A),B),D)).
% 2.03/2.29 Following clause subsumed by 3771 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))).
% 2.03/2.29 Following clause subsumed by 3770 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)).
% 2.03/2.29 Following clause subsumed by 3770 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)).
% 2.03/2.29 Following clause subsumed by 3771 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))).
% 2.03/2.29 Following clause subsumed by 3759 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))).
% 2.03/2.29 Following clause subsumed by 3840 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)).
% 2.03/2.29 Following clause subsumed by 3871 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(A),B),hAPP(c_Set_OCollect(A),C)))|hBOOL(hAPP(C,B)).
% 2.03/2.29 Following clause subsumed by 3871 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(A),B),hAPP(c_Set_OCollect(A),C)))|hBOOL(hAPP(C,B)).
% 2.03/2.29 Following clause subsumed by 3868 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_member(A),B),hAPP(c_Set_OCollect(A),C)))| -hBOOL(hAPP(C,B)).
% 2.03/2.29 Following clause subsumed by 3876 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)).
% 2.03/2.29 Following clause subsumed by 1349 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)).
% 2.03/2.29 Following clause subsumed by 3898 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).
% 2.03/2.29 Following clause subsumed by 3884 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))).
% 2.03/2.29 Following clause subsumed by 3930 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)).
% 2.03/2.29 Following clause subsumed by 3944 during input processing: 0 [] {-} hBOOL(hAPP(c_Predicate_ORangeP(A,B,C),D))| -hBOOL(hAPP(hAPP(C,E),D)).
% 2.03/2.29 Following clause subsumed by 3956 during input processing: 0 [] {-} -c_Wellfounded_Owf(A,B)|hBOOL(hAPP(hAPP(c_member(A),C),c_Wellfounded_Oacc(A,B))).
% 2.03/2.29 Following clause subsumed by 3949 during input processing: 0 [] {-} c_Predicate_Opred__comp(A,B,C,D,E,F,G)| -hBOOL(hAPP(hAPP(D,F),H))| -hBOOL(hAPP(hAPP(E,H),G)).
% 2.12/2.30 Following clause subsumed by 3965 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)).
% 2.12/2.30 Following clause subsumed by 3964 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)).
% 2.12/2.30 Following clause subsumed by 3980 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)).
% 2.12/2.30 Following clause subsumed by 3988 during input processing: 0 [] {-} hBOOL(hAPP(c_Predicate_ODomainP(A,B,C),D))| -hBOOL(hAPP(hAPP(C,D),E)).
% 2.12/2.30 Following clause subsumed by 3998 during input processing: 0 [] {-} -c_Wellfounded_OwfP(A,B)|hBOOL(hAPP(c_Wellfounded_Oaccp(A,B),C)).
% 2.12/2.30 Following clause subsumed by 4006 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).
% 2.12/2.30 Following clause subsumed by 4008 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).
% 2.12/2.30 Following clause subsumed by 3840 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)).
% 2.12/2.30 Following clause subsumed by 313 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(A),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool))))|hBOOL(hAPP(C,B)).
% 2.12/2.30 Following clause subsumed by 4034 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))).
% 2.12/2.30 Following clause subsumed by 4035 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))).
% 2.12/2.30 Following clause subsumed by 4036 during input processing: 0 [] {-} hAPP(hAPP(c_List_Omap(A,B),C),D)!=hAPP(hAPP(c_List_Omap(A,B),C),E)| -c_Fun_Oinj__on(A,B,C,c_Orderings_Otop__class_Otop(tc_fun(A,tc_HOL_Obool)))|D=E.
% 2.12/2.30 Following clause subsumed by 4043 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.
% 2.12/2.30 Following clause subsumed by 4046 during input processing: 0 [] {-} hAPP(hAPP(c_Map_Omap__of(A,B),C),D)!=hAPP(c_Option_Ooption_OSome(B),E)|hBOOL(hAPP(hAPP(c_member(tc_prod(A,B)),hAPP(hAPP(c_Product__Type_OPair(A,B),D),E)),hAPP(c_List_Oset(tc_prod(A,B)),C))).
% 2.12/2.30 Following clause subsumed by 4046 during input processing: 0 [] {-} -hBOOL(hAPP(c_List_Odistinct(A),hAPP(hAPP(c_List_Omap(tc_prod(A,B),A),c_Product__Type_Ofst(A,B)),C)))|hAPP(hAPP(c_Map_Omap__of(A,B),C),D)!=hAPP(c_Option_Ooption_OSome(B),E)|hBOOL(hAPP(hAPP(c_member(tc_prod(A,B)),hAPP(hAPP(c_Product__Type_OPair(A,B),D),E)),hAPP(c_List_Oset(tc_prod(A,B)),C))).
% 2.12/2.30 Following clause subsumed by 4060 during input processing: 0 [] {-} -hBOOL(hAPP(c_List_Odistinct(A),hAPP(hAPP(c_List_Omap(tc_prod(A,B),A),c_Product__Type_Ofst(A,B)),C)))| -hBOOL(hAPP(hAPP(c_member(tc_prod(A,B)),hAPP(hAPP(c_Product__Type_OPair(A,B),D),E)),hAPP(c_List_Oset(tc_prod(A,B)),C)))|hAPP(hAPP(c_Map_Omap__of(A,B),C),D)=hAPP(c_Option_Ooption_OSome(B),E).
% 2.12/2.30 Following clause subsumed by 4075 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))).
% 2.12/2.34 Following clause subsumed by 4074 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))).
% 2.12/2.34 Following clause subsumed by 4074 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))).
% 2.12/2.34 Following clause subsumed by 4083 during input processing: 0 [] {-} A!=B|hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(C)),A)=hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(C)),B).
% 2.12/2.34 Following clause subsumed by 4114 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(A),tc_List_Olist(A))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(A),tc_List_Olist(A)),B),C)),c_List_Olistrel(A,D)))|hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(A)),B)=hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(A)),C).
% 2.12/2.34 Following clause subsumed by 4120 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)))).
% 2.12/2.34 Following clause subsumed by 4125 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).
% 2.12/2.34 Following clause subsumed by 4131 during input processing: 0 [flip.1] {-} hAPP(hAPP(c_List_Olist_OCons(B),C),A)!=A.
% 2.12/2.34 Following clause subsumed by 4083 during input processing: 0 [] {-} A!=B|hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(C)),A)=hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(C)),B).
% 2.12/2.34 Following clause subsumed by 4179 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.
% 2.12/2.34 Following clause subsumed by 4186 during input processing: 0 [] {-} hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),A)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hAPP(hAPP(c_List_Onth(B),hAPP(hAPP(c_List_Olist_OCons(B),C),D)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),A))=C.
% 2.12/2.34 Following clause subsumed by 4114 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(A),tc_List_Olist(A))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(A),tc_List_Olist(A)),B),C)),c_List_Olistrel(A,D)))|hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(A)),B)=hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(A)),C).
% 2.12/2.34 Following clause subsumed by 4279 during input processing: 0 [] {-} -hBOOL(hAPP(A,B))|hBOOL(hAPP(A,c_Hilbert__Choice_OEps(C,A))).
% 2.12/2.34 Following clause subsumed by 4279 during input processing: 0 [] {-} -hBOOL(hAPP(A,B))|hBOOL(hAPP(A,c_Hilbert__Choice_OEps(C,A))).
% 2.12/2.34 Following clause subsumed by 4279 during input processing: 0 [] {-} hBOOL(hAPP(A,c_Hilbert__Choice_OEps(B,A)))| -hBOOL(hAPP(A,C)).
% 2.12/2.34 Following clause subsumed by 4286 during input processing: 0 [factor_simp] {-} -hBOOL(hAPP(A,C))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(D,c_Hilbert__Choice_OLeastM(E,tc_Nat_Onat,D,A))),hAPP(D,C))).
% 2.12/2.34 Following clause subsumed by 4287 during input processing: 0 [] {-} -hBOOL(hAPP(A,B))|hBOOL(hAPP(A,c_Hilbert__Choice_OLeastM(C,tc_Nat_Onat,D,A))).
% 2.12/2.34 Following clause subsumed by 4307 during input processing: 0 [] {-} A!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hAPP(hAPP(c_List_Otake(B),A),hAPP(hAPP(c_List_Olist_OCons(B),C),D))=c_List_Olist_ONil(B).
% 2.12/2.36 Following clause subsumed by 4334 during input processing: 0 [flip.2] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),A)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),B)))|hAPP(hAPP(c_List_Olist_OCons(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),A)),c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),A)),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),B)))=c_List_Oupto(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),A),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),B)).
% 2.12/2.36 Following clause subsumed by 4334 during input processing: 0 [flip.3] {-} -hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_List_Oupto__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),A),B)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),A),B))|hAPP(hAPP(c_List_Olist_OCons(tc_Int_Oint),A),c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),c_Groups_Oone__class_Oone(tc_Int_Oint)),B))=c_List_Oupto(A,B).
% 2.12/2.36 Following clause subsumed by 4362 during input processing: 0 [flip.1] {-} hAPP(hAPP(c_List_Oappend(B),C),A)!=A|C=c_List_Olist_ONil(B).
% 2.12/2.36 Following clause subsumed by 4363 during input processing: 0 [flip.1] {-} hAPP(hAPP(c_List_Oappend(B),C),A)=A|C!=c_List_Olist_ONil(B).
% 2.12/2.36 Following clause subsumed by 4364 during input processing: 0 [flip.1] {-} hAPP(hAPP(c_List_Oappend(B),A),C)!=A|C=c_List_Olist_ONil(B).
% 2.12/2.36 Following clause subsumed by 4365 during input processing: 0 [flip.1] {-} hAPP(hAPP(c_List_Oappend(B),A),C)=A|C!=c_List_Olist_ONil(B).
% 2.12/2.36 Following clause subsumed by 4389 during input processing: 0 [] {-} hAPP(hAPP(c_List_Oappend(A),B),C)!=D|E!=hAPP(hAPP(c_List_Oappend(A),C),F)|hAPP(hAPP(c_List_Oappend(A),B),E)=hAPP(hAPP(c_List_Oappend(A),D),F).
% 2.12/2.36 Following clause subsumed by 4352 during input processing: 0 [] {-} hAPP(hAPP(c_List_Olist_OCons(A),B),C)!=D|E!=hAPP(hAPP(c_List_Oappend(A),C),F)|hAPP(hAPP(c_List_Olist_OCons(A),B),E)=hAPP(hAPP(c_List_Oappend(A),D),F).
% 2.12/2.36 Following clause subsumed by 4394 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(B)),C)))|hAPP(hAPP(c_List_Olist__update(B,hAPP(hAPP(c_List_Oappend(B),C),D)),A),E)=hAPP(hAPP(c_List_Oappend(B),hAPP(hAPP(c_List_Olist__update(B,C),A),E)),D).
% 2.12/2.36 Following clause subsumed by 4433 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(A)),B)),C))|hAPP(hAPP(c_List_Odrop(A),C),B)=c_List_Olist_ONil(A).
% 2.12/2.36 Following clause subsumed by 4439 during input processing: 0 [] {-} hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),A)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hAPP(hAPP(c_List_Odrop(B),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),A)),hAPP(hAPP(c_List_Olist_OCons(B),C),D))=hAPP(hAPP(c_List_Olist_OCons(B),C),D).
% 2.12/2.36 Following clause subsumed by 4494 during input processing: 0 [] {-} A!=c_List_Olist_ONil(B)|c_List_Olast(B,hAPP(hAPP(c_List_Olist_OCons(B),C),A))=C.
% 2.12/2.36 Following clause subsumed by 4495 during input processing: 0 [] {-} A!=c_List_Olist_ONil(B)|c_List_Olast(B,hAPP(hAPP(c_List_Oappend(B),C),A))=c_List_Olast(B,C).
% 2.12/2.36 Following clause subsumed by 4508 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)).
% 2.12/2.36 Following clause subsumed by 4509 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)).
% 2.12/2.36 Following clause subsumed by 4510 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))).
% 2.12/2.36 Following clause subsumed by 4510 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))).
% 2.20/2.39 Following clause subsumed by 4509 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)).
% 2.20/2.39 Following clause subsumed by 4508 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)).
% 2.20/2.39 Following clause subsumed by 4586 during input processing: 0 [flip.2] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),A),B))|hAPP(hAPP(c_List_Oappend(tc_Nat_Onat),c_List_Oupt(A,B)),hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat),B),c_List_Olist_ONil(tc_Nat_Onat)))=c_List_Oupt(A,hAPP(c_Nat_OSuc,B)).
% 2.20/2.39 Following clause subsumed by 4591 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),A),B))|c_List_Oupt(B,A)=c_List_Olist_ONil(tc_Nat_Onat).
% 2.20/2.39 Following clause subsumed by 4577 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_List_Olinorder__class_Osorted(A,c_List_Olist_ONil(A)).
% 2.20/2.39 Following clause subsumed by 4605 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_List_Olinorder__class_Osorted(A,hAPP(hAPP(c_List_Olist_OCons(A),B),hAPP(hAPP(c_List_Olist_OCons(A),C),D)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),C))| -c_List_Olinorder__class_Osorted(A,hAPP(hAPP(c_List_Olist_OCons(A),C),D)).
% 2.20/2.39 Following clause subsumed by 4604 during input processing: 0 [flip.2] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),B))|hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat),A),c_List_Oupt(hAPP(c_Nat_OSuc,A),B))=c_List_Oupt(A,B).
% 2.20/2.39 Following clause subsumed by 4604 during input processing: 0 [flip.2] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),A)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),B)))|hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),A)),c_List_Oupt(hAPP(c_Nat_OSuc,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),A)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),B)))=c_List_Oupt(hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),A),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),B)).
% 2.20/2.39 Following clause subsumed by 4610 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -c_List_Olinorder__class_Osorted(A,hAPP(hAPP(c_List_Olist_OCons(A),B),C))| -hBOOL(hAPP(hAPP(c_member(A),D),hAPP(c_List_Oset(A),C)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),D)).
% 2.20/2.39 Following clause subsumed by 4609 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -c_List_Olinorder__class_Osorted(A,hAPP(hAPP(c_List_Olist_OCons(A),B),C))|c_List_Olinorder__class_Osorted(A,C).
% 2.20/2.39 Following clause subsumed by 4635 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -c_List_Olinorder__class_Osorted(A,B)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),C),D))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),D),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(A)),B)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(hAPP(c_List_Onth(A),B),C)),hAPP(hAPP(c_List_Onth(A),B),D))).
% 2.20/2.39 Following clause subsumed by 4649 during input processing: 0 [flip.1] {-} hAPP(c_List_Orev(A),B)!=c_List_Olist_ONil(A)|B=c_List_Olist_ONil(A).
% 2.20/2.39 Following clause subsumed by 4650 during input processing: 0 [flip.1] {-} hAPP(c_List_Orev(A),B)=c_List_Olist_ONil(A)|B!=c_List_Olist_ONil(A).
% 2.20/2.39 Following clause subsumed by 4711 during input processing: 0 [] {-} -hBOOL(hAPP(c_List_Odistinct(A),B))|c_List_Oremdups(A,B)=B.
% 2.20/2.39 Following clause subsumed by 4083 during input processing: 0 [] {-} hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(A)),c_List_Oremdups(A,B))=hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(A)),B)|c_List_Oremdups(A,B)!=B.
% 2.20/2.39 Following clause subsumed by 4760 during input processing: 0 [flip.2] {-} -class_Enum_Oenum(A)|c_Orderings_Otop__class_Otop(tc_fun(A,tc_HOL_Obool))=hAPP(c_List_Oset(A),c_Enum_Oenum__class_Oenum(A)).
% 2.20/2.40 Following clause subsumed by 4779 during input processing: 0 [] {-} -class_Enum_Oenum(A)| -hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(A),B))|hBOOL(hAPP(B,C)).
% 2.20/2.40 Following clause subsumed by 4780 during input processing: 0 [] {-} -class_Enum_Oenum(A)|hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(A),B))| -hBOOL(hAPP(B,C)).
% 2.20/2.40 Following clause subsumed by 4776 during input processing: 0 [] {-} -class_Enum_Oenum(A)| -class_Enum_Oenum(B)| -class_HOL_Oequal(B)| -hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(tc_fun(B,A)),C))|c_Enum_Oex__n__lists(A,hAPP(hAPP(c_COMBB(tc_fun(B,A),tc_HOL_Obool,tc_List_Olist(A)),C),hAPP(hAPP(c_COMBB(tc_fun(B,tc_Option_Ooption(A)),tc_fun(B,A),tc_List_Olist(A)),c_Fun_Ocomp(tc_Option_Ooption(A),A,B,c_Option_Othe(A))),hAPP(hAPP(c_COMBB(tc_List_Olist(tc_prod(B,A)),tc_fun(B,tc_Option_Ooption(A)),tc_List_Olist(A)),c_Map_Omap__of(B,A)),hAPP(c_List_Ozip(B,A),c_Enum_Oenum__class_Oenum(B))))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(B)),c_Enum_Oenum__class_Oenum(B))).
% 2.20/2.40 Following clause subsumed by 4777 during input processing: 0 [] {-} -class_Enum_Oenum(A)| -class_Enum_Oenum(B)| -class_HOL_Oequal(B)|hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(tc_fun(B,A)),C))| -c_Enum_Oex__n__lists(A,hAPP(hAPP(c_COMBB(tc_fun(B,A),tc_HOL_Obool,tc_List_Olist(A)),C),hAPP(hAPP(c_COMBB(tc_fun(B,tc_Option_Ooption(A)),tc_fun(B,A),tc_List_Olist(A)),c_Fun_Ocomp(tc_Option_Ooption(A),A,B,c_Option_Othe(A))),hAPP(hAPP(c_COMBB(tc_List_Olist(tc_prod(B,A)),tc_fun(B,tc_Option_Ooption(A)),tc_List_Olist(A)),c_Map_Omap__of(B,A)),hAPP(c_List_Ozip(B,A),c_Enum_Oenum__class_Oenum(B))))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(B)),c_Enum_Oenum__class_Oenum(B))).
% 2.20/2.40 Following clause subsumed by 4774 during input processing: 0 [] {-} -class_Enum_Oenum(A)| -class_Enum_Oenum(B)| -class_HOL_Oequal(B)| -hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(tc_fun(B,A)),C))|c_Enum_Oall__n__lists(A,hAPP(hAPP(c_COMBB(tc_fun(B,A),tc_HOL_Obool,tc_List_Olist(A)),C),hAPP(hAPP(c_COMBB(tc_fun(B,tc_Option_Ooption(A)),tc_fun(B,A),tc_List_Olist(A)),c_Fun_Ocomp(tc_Option_Ooption(A),A,B,c_Option_Othe(A))),hAPP(hAPP(c_COMBB(tc_List_Olist(tc_prod(B,A)),tc_fun(B,tc_Option_Ooption(A)),tc_List_Olist(A)),c_Map_Omap__of(B,A)),hAPP(c_List_Ozip(B,A),c_Enum_Oenum__class_Oenum(B))))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(B)),c_Enum_Oenum__class_Oenum(B))).
% 2.20/2.40 Following clause subsumed by 4775 during input processing: 0 [] {-} -class_Enum_Oenum(A)| -class_Enum_Oenum(B)| -class_HOL_Oequal(B)|hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(tc_fun(B,A)),C))| -c_Enum_Oall__n__lists(A,hAPP(hAPP(c_COMBB(tc_fun(B,A),tc_HOL_Obool,tc_List_Olist(A)),C),hAPP(hAPP(c_COMBB(tc_fun(B,tc_Option_Ooption(A)),tc_fun(B,A),tc_List_Olist(A)),c_Fun_Ocomp(tc_Option_Ooption(A),A,B,c_Option_Othe(A))),hAPP(hAPP(c_COMBB(tc_List_Olist(tc_prod(B,A)),tc_fun(B,tc_Option_Ooption(A)),tc_List_Olist(A)),c_Map_Omap__of(B,A)),hAPP(c_List_Ozip(B,A),c_Enum_Oenum__class_Oenum(B))))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(B)),c_Enum_Oenum__class_Oenum(B))).
% 2.20/2.40 Following clause subsumed by 4845 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)).
% 2.20/2.40 Following clause subsumed by 4876 during input processing: 0 [] {-} hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(A)),B)!=hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(C)),D)|c_List_Olist__all2(A,C,E,hAPP(hAPP(c_List_Oappend(A),B),F),hAPP(hAPP(c_List_Oappend(C),D),G))| -c_List_Olist__all2(A,C,E,B,D)| -c_List_Olist__all2(A,C,E,F,G).
% 2.20/2.40 Following clause subsumed by 4865 during input processing: 0 [] {-} -c_List_Olist__all2(A,B,C,D,E)|hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(A)),D)=hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(B)),E).
% 2.20/2.40 Following clause subsumed by 4865 during input processing: 0 [] {-} -c_List_Olist__all2(A,B,C,D,E)|hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(A)),D)=hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(B)),E).
% 2.20/2.45 Following clause subsumed by 4898 during input processing: 0 [] {-} -c_List_Olist__all2(A,B,C,D,E)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),F),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(A)),D)))|hBOOL(hAPP(hAPP(C,hAPP(hAPP(c_List_Onth(A),D),F)),hAPP(hAPP(c_List_Onth(B),E),F))).
% 2.20/2.45 Following clause subsumed by 4922 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(A),B),hAPP(c_List_Oset(A),C)))|c_List_Oinsert(A,B,C)=C.
% 2.20/2.45 Following clause subsumed by 4936 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(A,B)),hAPP(A,C)))|hBOOL(hAPP(hAPP(c_member(tc_prod(D,D)),hAPP(hAPP(c_Product__Type_OPair(D,D),B),C)),c_List_Omeasures(D,hAPP(hAPP(c_List_Olist_OCons(tc_fun(D,tc_Nat_Onat)),A),E)))).
% 2.20/2.45 Following clause subsumed by 5061 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),A),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))| -hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))|hAPP(c_Code__Numeral_Oof__nat,A)!=hAPP(c_Code__Numeral_Oof__nat,B)|A=B.
% 2.20/2.45 Following clause subsumed by 5062 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),A),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))| -hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))|hAPP(c_Code__Numeral_Oof__nat,A)=hAPP(c_Code__Numeral_Oof__nat,B)|A!=B.
% 2.20/2.45 Following clause subsumed by 5070 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))).
% 2.20/2.45 Following clause subsumed by 5076 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))).
% 2.20/2.45 Following clause subsumed by 5090 during input processing: 0 [] {-} hAPP(c_Code__Numeral_Onat__of,A)!=hAPP(c_Code__Numeral_Onat__of,B)|A=B.
% 2.20/2.45 Following clause subsumed by 5091 during input processing: 0 [] {-} hAPP(c_Code__Numeral_Onat__of,A)=hAPP(c_Code__Numeral_Onat__of,B)|A!=B.
% 2.20/2.45 Following clause subsumed by 5077 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.
% 2.20/2.45 Following clause subsumed by 5095 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(tc_prod(A,A)),hAPP(hAPP(c_Product__Type_OPair(A,A),B),C)),c_Transitive__Closure_Ortrancl(A,D)))| -hBOOL(hAPP(hAPP(c_member(A),C),c_Wellfounded_Oacc(A,D)))|hBOOL(hAPP(hAPP(c_member(A),B),c_Wellfounded_Oacc(A,D))).
% 2.20/2.45 Following clause subsumed by 5115 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(tc_prod(A,B)),hAPP(hAPP(c_Product__Type_OPair(A,B),C),D)),E))|hBOOL(hAPP(hAPP(c_member(tc_prod(B,A)),hAPP(hAPP(c_Product__Type_OPair(B,A),D),C)),hAPP(c_Relation_Oconverse(A,B),E))).
% 2.20/2.45 Following clause subsumed by 5114 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)).
% 2.20/2.45 Following clause subsumed by 5140 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.
% 2.20/2.45 Following clause subsumed by 5152 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(tc_prod(A,A)),B),hAPP(hAPP(c_Nat_Ocompow(tc_prod(A,A),tc_HOL_Obool),C),D)))|hBOOL(hAPP(hAPP(c_member(tc_prod(A,A)),B),c_Transitive__Closure_Ortrancl(A,D))).
% 2.20/2.46 Following clause subsumed by 5201 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),D))).
% 2.20/2.46 Following clause subsumed by 5201 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_member(A),B),hAPP(c_List_Oset(A),C)))|C!=hAPP(hAPP(c_List_Oappend(A),D),hAPP(hAPP(c_List_Olist_OCons(A),B),E))|hBOOL(hAPP(hAPP(c_member(A),B),hAPP(c_List_Oset(A),E))).
% 2.20/2.46 Following clause subsumed by 2058 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(c_Divides_Odiv__class_Odiv(A,B),C)),C)),c_Divides_Odiv__class_Omod(A,B,C))=B.
% 2.20/2.46 Following clause subsumed by 37 during input processing: 0 [copy,35,flip.1] {-} c_Com_Ocom_OCall(A,B,C)!=c_Com_Ocom_OSemi(D,E).
% 2.20/2.46 Following clause subsumed by 38 during input processing: 0 [copy,36,flip.1] {-} c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OSemi(D,E).
% 2.20/2.46 Following clause subsumed by 35 during input processing: 0 [copy,37,flip.1] {-} c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OCall(C,D,E).
% 2.20/2.46 Following clause subsumed by 36 during input processing: 0 [copy,38,flip.1] {-} c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OCond(C,D,E).
% 2.20/2.46 Following clause subsumed by 40 during input processing: 0 [copy,39,flip.1] {-} c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OCall(D,E,F).
% 2.20/2.46 Following clause subsumed by 39 during input processing: 0 [copy,40,flip.1] {-} c_Com_Ocom_OCall(A,B,C)!=c_Com_Ocom_OCond(D,E,F).
% 2.20/2.46 Following clause subsumed by 56 during input processing: 0 [copy,55,flip.1] {-} hAPP(c_Com_Ocom_OBODY,A)!=c_Com_Ocom_OCall(B,C,D).
% 2.20/2.46 Following clause subsumed by 55 during input processing: 0 [copy,56,flip.1] {-} c_Com_Ocom_OCall(A,B,C)!=hAPP(c_Com_Ocom_OBODY,D).
% 2.20/2.46 Following clause subsumed by 59 during input processing: 0 [copy,58,flip.1] {-} hAPP(c_Com_Ocom_OBODY,A)!=c_Com_Ocom_OCond(B,C,D).
% 2.20/2.46 Following clause subsumed by 58 during input processing: 0 [copy,59,flip.1] {-} c_Com_Ocom_OCond(A,B,C)!=hAPP(c_Com_Ocom_OBODY,D).
% 2.20/2.46 Following clause subsumed by 62 during input processing: 0 [copy,61,flip.1] {-} hAPP(c_Com_Ocom_OBODY,A)!=c_Com_Ocom_OSemi(B,C).
% 2.20/2.46 Following clause subsumed by 61 during input processing: 0 [copy,62,flip.1] {-} c_Com_Ocom_OSemi(A,B)!=hAPP(c_Com_Ocom_OBODY,C).
% 2.20/2.46 Following clause subsumed by 89 during input processing: 0 [copy,88,flip.1] {-} c_Com_Ocom_OAss(A,B)!=c_Com_Ocom_OLocal(C,D,E).
% 2.20/2.46 Following clause subsumed by 88 during input processing: 0 [copy,89,flip.1] {-} c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OAss(D,E).
% 2.20/2.46 Following clause subsumed by 96 during input processing: 0 [copy,95,flip.1] {-} c_Com_Ocom_OAss(A,B)!=hAPP(c_Com_Ocom_OBODY,C).
% 2.20/2.46 Following clause subsumed by 95 during input processing: 0 [copy,96,flip.1] {-} hAPP(c_Com_Ocom_OBODY,A)!=c_Com_Ocom_OAss(B,C).
% 2.20/2.46 Following clause subsumed by 98 during input processing: 0 [copy,97,flip.1] {-} c_Com_Ocom_OLocal(A,B,C)!=hAPP(c_Com_Ocom_OBODY,D).
% 2.20/2.46 Following clause subsumed by 97 during input processing: 0 [copy,98,flip.1] {-} hAPP(c_Com_Ocom_OBODY,A)!=c_Com_Ocom_OLocal(B,C,D).
% 2.20/2.46 Following clause subsumed by 101 during input processing: 0 [copy,100,flip.1] {-} c_Com_Ocom_OAss(A,B)!=c_Com_Ocom_OCond(C,D,E).
% 2.20/2.46 Following clause subsumed by 100 during input processing: 0 [copy,101,flip.1] {-} c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OAss(D,E).
% 2.20/2.46 Following clause subsumed by 103 during input processing: 0 [copy,102,flip.1] {-} c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OLocal(D,E,F).
% 2.20/2.46 Following clause subsumed by 102 during input processing: 0 [copy,103,flip.1] {-} c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OCond(D,E,F).
% 2.20/2.46 Following clause subsumed by 105 during input processing: 0 [copy,104,flip.1] {-} c_Com_Ocom_OAss(A,B)!=c_Com_Ocom_OCall(C,D,E).
% 2.20/2.46 Following clause subsumed by 104 during input processing: 0 [copy,105,flip.1] {-} c_Com_Ocom_OCall(A,B,C)!=c_Com_Ocom_OAss(D,E).
% 2.20/2.46 Following clause subsumed by 107 during input processing: 0 [copy,106,flip.1] {-} c_Com_Ocom_OAss(A,B)!=c_Com_Ocom_OSemi(C,D).
% 2.20/2.46 Following clause subsumed by 106 during input processing: 0 [copy,107,flip.1] {-} c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OAss(C,D).
% 2.42/2.61 Following clause subsumed by 110 during input processing: 0 [copy,109,flip.1] {-} c_Com_Ocom_OCall(A,B,C)!=c_Com_Ocom_OLocal(D,E,F).
% 2.42/2.61 Following clause subsumed by 109 during input processing: 0 [copy,110,flip.1] {-} c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OCall(D,E,F).
% 2.42/2.61 Following clause subsumed by 112 during input processing: 0 [copy,111,flip.1] {-} c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OLocal(C,D,E).
% 2.42/2.61 Following clause subsumed by 111 during input processing: 0 [copy,112,flip.1] {-} c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OSemi(D,E).
% 2.42/2.61 Following clause subsumed by 170 during input processing: 0 [copy,169,flip.1] {-} hAPP(c_Com_Ocom_OBODY,A)!=c_Com_Ocom_OWhile(B,C).
% 2.42/2.61 Following clause subsumed by 169 during input processing: 0 [copy,170,flip.1] {-} c_Com_Ocom_OWhile(A,B)!=hAPP(c_Com_Ocom_OBODY,C).
% 2.42/2.61 Following clause subsumed by 172 during input processing: 0 [copy,171,flip.1] {-} c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OWhile(D,E).
% 2.42/2.61 Following clause subsumed by 171 during input processing: 0 [copy,172,flip.1] {-} c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OCond(C,D,E).
% 2.42/2.61 Following clause subsumed by 174 during input processing: 0 [copy,173,flip.1] {-} c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OAss(C,D).
% 2.42/2.61 Following clause subsumed by 173 during input processing: 0 [copy,174,flip.1] {-} c_Com_Ocom_OAss(A,B)!=c_Com_Ocom_OWhile(C,D).
% 2.42/2.61 Following clause subsumed by 176 during input processing: 0 [copy,175,flip.1] {-} c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OSemi(C,D).
% 2.42/2.61 Following clause subsumed by 175 during input processing: 0 [copy,176,flip.1] {-} c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OWhile(C,D).
% 2.42/2.61 Following clause subsumed by 178 during input processing: 0 [copy,177,flip.1] {-} c_Com_Ocom_OCall(A,B,C)!=c_Com_Ocom_OWhile(D,E).
% 2.42/2.61 Following clause subsumed by 177 during input processing: 0 [copy,178,flip.1] {-} c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OCall(C,D,E).
% 2.42/2.61 Following clause subsumed by 180 during input processing: 0 [copy,179,flip.1] {-} c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OWhile(D,E).
% 2.42/2.61 Following clause subsumed by 179 during input processing: 0 [copy,180,flip.1] {-} c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OLocal(C,D,E).
% 2.42/2.61 189 back subsumes 153.
% 2.42/2.61 Following clause subsumed by 241 during input processing: 0 [copy,240,flip.1] {-} hAPP(c_Nat_OSuc,A)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 2.42/2.61 Following clause subsumed by 240 during input processing: 0 [copy,241,flip.1] {-} c_Groups_Ozero__class_Ozero(tc_Nat_Onat)!=hAPP(c_Nat_OSuc,A).
% 2.42/2.61 Following clause subsumed by 259 during input processing: 0 [copy,258,flip.1] {-} c_Com_Ovname_OLoc(A)!=c_Com_Ovname_OGlb(B).
% 2.42/2.61 Following clause subsumed by 258 during input processing: 0 [copy,259,flip.1] {-} c_Com_Ovname_OGlb(A)!=c_Com_Ovname_OLoc(B).
% 2.42/2.61 Following clause subsumed by 349 during input processing: 0 [copy,348,flip.1] {-} hAPP(c_Sum__Type_OInr(A,B),C)!=hAPP(c_Sum__Type_OInl(B,A),D).
% 2.42/2.61 Following clause subsumed by 348 during input processing: 0 [copy,349,flip.1] {-} hAPP(c_Sum__Type_OInl(A,B),C)!=hAPP(c_Sum__Type_OInr(B,A),D).
% 2.42/2.61 549 back subsumes 494.
% 2.42/2.61 549 back subsumes 492.
% 2.42/2.61 575 back subsumes 571.
% 2.42/2.61 619 back subsumes 618.
% 2.42/2.61 651 back subsumes 649.
% 2.42/2.61 742 back subsumes 622.
% 2.42/2.61 785 back subsumes 780.
% 2.42/2.61 898 back subsumes 752.
% 2.42/2.61 898 back subsumes 738.
% 2.42/2.61 1448 back subsumes 1445.
% 2.42/2.61 1484 back subsumes 1451.
% 2.42/2.61 1485 back subsumes 1452.
% 2.42/2.61 Following clause subsumed by 1857 during input processing: 0 [copy,1856,flip.1] {-} c_Int_OBit1(A)!=c_Int_OBit0(B).
% 2.42/2.61 Following clause subsumed by 1856 during input processing: 0 [copy,1857,flip.1] {-} c_Int_OBit0(A)!=c_Int_OBit1(B).
% 2.42/2.61 1960 back subsumes 1838.
% 2.42/2.61 1961 back subsumes 1839.
% 2.42/2.61 1967 back subsumes 1864.
% 2.42/2.61 2002 back subsumes 1916.
% 2.42/2.61 2321 back subsumes 1189.
% 2.42/2.61 2430 back subsumes 2405.
% 2.42/2.61 2436 back subsumes 2434.
% 2.42/2.61 2436 back subsumes 2407.
% 2.42/2.61 2450 back subsumes 2447.
% 2.42/2.61 2450 back subsumes 2441.
% 2.42/2.61 2452 back subsumes 2449.
% 2.42/2.61 2452 back subsumes 2443.
% 2.42/2.61 2453 back subsumes 2450.
% 2.42/2.61 2464 back subsumes 2457.
% 2.42/2.61 Following clause subsumed by 2541 during input processing: 0 [copy,2540,flip.1] {-} c_Code__Numeral_OSuc__code__numeral(A)!=c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral).
% 2.65/2.88 Following clause subsumed by 2540 during input processing: 0 [copy,2541,flip.1] {-} c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)!=c_Code__Numeral_OSuc__code__numeral(A).
% 2.65/2.88 2854 back subsumes 2853.
% 2.65/2.88 3043 back subsumes 3030.
% 2.65/2.88 3043 back subsumes 3020.
% 2.65/2.88 3044 back subsumes 3031.
% 2.65/2.88 3044 back subsumes 3021.
% 2.65/2.88 3045 back subsumes 3032.
% 2.65/2.88 3045 back subsumes 3022.
% 2.65/2.88 3046 back subsumes 3033.
% 2.65/2.88 3046 back subsumes 3023.
% 2.65/2.88 3047 back subsumes 3034.
% 2.65/2.88 3047 back subsumes 3024.
% 2.65/2.88 3048 back subsumes 3035.
% 2.65/2.88 3048 back subsumes 3025.
% 2.65/2.88 3049 back subsumes 3036.
% 2.65/2.88 3049 back subsumes 3026.
% 2.65/2.88 3050 back subsumes 3037.
% 2.65/2.88 3050 back subsumes 3027.
% 2.65/2.88 3051 back subsumes 3038.
% 2.65/2.88 3051 back subsumes 3028.
% 2.65/2.88 3052 back subsumes 3039.
% 2.65/2.88 3052 back subsumes 3029.
% 2.65/2.88 3053 back subsumes 3010.
% 2.65/2.88 3053 back subsumes 3000.
% 2.65/2.88 3054 back subsumes 3011.
% 2.65/2.88 3054 back subsumes 3001.
% 2.65/2.88 3055 back subsumes 3012.
% 2.65/2.88 3055 back subsumes 3002.
% 2.65/2.88 3056 back subsumes 3013.
% 2.65/2.88 3056 back subsumes 3003.
% 2.65/2.88 3057 back subsumes 3014.
% 2.65/2.88 3057 back subsumes 3004.
% 2.65/2.88 3058 back subsumes 3015.
% 2.65/2.88 3058 back subsumes 3005.
% 2.65/2.88 3059 back subsumes 3016.
% 2.65/2.88 3059 back subsumes 3006.
% 2.65/2.88 3060 back subsumes 3017.
% 2.65/2.88 3060 back subsumes 3007.
% 2.65/2.88 3061 back subsumes 3018.
% 2.65/2.88 3061 back subsumes 3008.
% 2.65/2.88 3062 back subsumes 3019.
% 2.65/2.88 3062 back subsumes 3009.
% 2.65/2.88 3103 back subsumes 2936.
% 2.65/2.88 3103 back subsumes 2931.
% 2.65/2.88 3104 back subsumes 2937.
% 2.65/2.88 3104 back subsumes 2932.
% 2.65/2.88 3105 back subsumes 2938.
% 2.65/2.88 3105 back subsumes 2933.
% 2.65/2.88 3106 back subsumes 2939.
% 2.65/2.88 3106 back subsumes 2934.
% 2.65/2.88 3107 back subsumes 2940.
% 2.65/2.88 3107 back subsumes 2935.
% 2.65/2.88 3108 back subsumes 2946.
% 2.65/2.88 3108 back subsumes 2941.
% 2.65/2.88 3109 back subsumes 2947.
% 2.65/2.88 3109 back subsumes 2942.
% 2.65/2.88 3110 back subsumes 2948.
% 2.65/2.88 3110 back subsumes 2943.
% 2.65/2.88 3111 back subsumes 2949.
% 2.65/2.88 3111 back subsumes 2944.
% 2.65/2.88 3112 back subsumes 2950.
% 2.65/2.88 3112 back subsumes 2945.
% 2.65/2.88 3126 back subsumes 2985.
% 2.65/2.88 3126 back subsumes 2975.
% 2.65/2.88 3127 back subsumes 2986.
% 2.65/2.88 3127 back subsumes 2976.
% 2.65/2.88 3128 back subsumes 2987.
% 2.65/2.88 3128 back subsumes 2977.
% 2.65/2.88 3129 back subsumes 2988.
% 2.65/2.88 3129 back subsumes 2978.
% 2.65/2.88 3130 back subsumes 2989.
% 2.65/2.88 3130 back subsumes 2979.
% 2.65/2.88 3131 back subsumes 2990.
% 2.65/2.88 3131 back subsumes 2980.
% 2.65/2.88 3132 back subsumes 2991.
% 2.65/2.88 3132 back subsumes 2981.
% 2.65/2.88 3133 back subsumes 2992.
% 2.65/2.88 3133 back subsumes 2982.
% 2.65/2.88 3134 back subsumes 2993.
% 2.65/2.88 3134 back subsumes 2983.
% 2.65/2.88 3135 back subsumes 2994.
% 2.65/2.88 3135 back subsumes 2984.
% 2.65/2.88 3136 back subsumes 2965.
% 2.65/2.88 3136 back subsumes 2955.
% 2.65/2.88 3137 back subsumes 2966.
% 2.65/2.88 3137 back subsumes 2956.
% 2.65/2.88 3138 back subsumes 2967.
% 2.65/2.88 3138 back subsumes 2957.
% 2.65/2.88 3139 back subsumes 2968.
% 2.65/2.88 3139 back subsumes 2958.
% 2.65/2.88 3140 back subsumes 2969.
% 2.65/2.88 3140 back subsumes 2959.
% 2.65/2.88 3141 back subsumes 2970.
% 2.65/2.88 3141 back subsumes 2960.
% 2.65/2.88 3142 back subsumes 2971.
% 2.65/2.88 3142 back subsumes 2961.
% 2.65/2.88 3143 back subsumes 2972.
% 2.65/2.88 3143 back subsumes 2962.
% 2.65/2.88 3144 back subsumes 2973.
% 2.65/2.88 3144 back subsumes 2963.
% 2.65/2.88 3145 back subsumes 2974.
% 2.65/2.88 3145 back subsumes 2964.
% 2.65/2.88 3560 back subsumes 3559.
% 2.65/2.88 3616 back subsumes 3615.
% 2.65/2.88 4069 back subsumes 4067.
% 2.65/2.88 Following clause subsumed by 4302 during input processing: 0 [copy,4301,flip.1] {-} c_List_Olist_ONil(A)!=hAPP(hAPP(c_List_Olist_OCons(A),B),C).
% 2.65/2.88 Following clause subsumed by 4301 during input processing: 0 [copy,4302,flip.1] {-} hAPP(hAPP(c_List_Olist_OCons(A),B),C)!=c_List_Olist_ONil(A).
% 2.65/2.88 4307 back subsumes 4297.
% 2.65/2.88 4609 back subsumes 4607.
% 2.65/2.88 4766 back subsumes 4764.
% 2.65/2.88 5041 back subsumes 5040.
% 2.65/2.88 5239 back subsumes 5208.
% 2.65/2.88 5406 back subsumes 5401.
% 2.65/2.88 Following clause subsumed by 1209 during input processing: 0 [copy,5472,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).
% 2.65/2.88 5515 back subsumes 5513.
% 2.65/2.88 Following clause subsumed by 3203 during input processing: 0 [copy,5729,flip.1] {-} hAPP(c_Set_Oimage(A,tc_fun(A,tc_HOL_Obool),B),C)!=hAPP(c_Set_OPow(A),C).
% 2.65/2.88 5777 back subsumes 5776.
% 2.65/2.88
% 2.65/2.88 ------------> process sos:
% 2.65/2.88 Following clause subsumed by 5947 during input processing: 0 [] {-} hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OSKIP)).
% 2.65/2.88 Following clause subsumed by 5960 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSKIP),A),A)).
% 2.65/2.88 Following clause subsumed by 5968 during input processing: 0 [] {-} hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OAss(A,B))).
% 2.72/2.91 Following clause subsumed by 5971 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OAss(A,B)),C),hAPP(hAPP(hAPP(c_Natural_Oupdate,C),A),hAPP(B,C)))).
% 2.72/2.91 Following clause subsumed by 5977 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OWhile(A,B)),C),D),C))|hBOOL(hAPP(A,C)).
% 2.72/2.91 Following clause subsumed by 5979 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OAss(A,B)),C),D),hAPP(hAPP(hAPP(c_Natural_Oupdate,C),A),hAPP(B,C)))).
% 2.72/2.91 Following clause subsumed by 5978 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OSKIP),A),B),A)).
% 2.72/2.91 Following clause subsumed by 5976 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(A,B)),C),C))|hBOOL(hAPP(A,C)).
% 2.72/2.91 Following clause subsumed by 5988 during input processing: 0 [] {-} A=B|hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(C,D),E),B),F),A)=hAPP(E,A).
% 2.72/2.91 Following clause subsumed by 6126 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))).
% 2.72/2.91 Following clause subsumed by 5988 during input processing: 0 [] {-} A=B|hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(C,D),E),B),F),A)=hAPP(E,A).
% 2.72/2.91 Following clause subsumed by 6123 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_member(A),B),C))|hAPP(c_Map_Orestrict__map(A,D,E,C),B)=c_Option_Ooption_ONone(D).
% 2.72/2.91 Following clause subsumed by 6132 during input processing: 0 [] {-} c_Hoare__Mirabelle_Ohoare__derivs(A,B,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(A)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(A),hAPP(hAPP(c_COMBC(A,tc_fun(tc_Com_Ostate,tc_Com_Ostate),tc_fun(tc_Com_Ostate,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_fun(tc_Com_Ostate,tc_Com_Ostate),tc_fun(tc_Com_Ostate,tc_HOL_Obool)),A),c_COMBB(tc_Com_Ostate,tc_HOL_Obool,tc_Com_Ostate)),C)),hAPP(hAPP(c_COMBS(tc_Com_Ostate,tc_Nat_Onat,tc_Com_Ostate),hAPP(hAPP(c_COMBC(tc_Com_Ostate,tc_Com_Ovname,tc_fun(tc_Nat_Onat,tc_Com_Ostate)),c_Natural_Oupdate),D)),E))),c_Com_Ocom_OAss(D,E)),C)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(A),tc_HOL_Obool)))).
% 2.72/2.91 Following clause subsumed by 6148 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)))).
% 2.72/2.91 Following clause subsumed by 6242 during input processing: 0 [demod,6212] {-} c_Nitpick_Ofold__graph_H(A,B,C,D,c_Option_Oset(A,c_Option_Ooption_ONone(A)),D).
% 2.72/2.91 Following clause subsumed by 6257 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)).
% 2.72/2.91 Following clause subsumed by 6298 during input processing: 0 [demod,6296,6065,6060] {-} hAPP(c_Nat_OSuc,A)=hAPP(c_Nat_OSuc,A).
% 2.72/2.91 Following clause subsumed by 6270 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_member(A),B),C))|hAPP(c_Set_Oimage(A,tc_Option_Ooption(D),hAPP(hAPP(hAPP(c_Fun_Ofun__upd(A,tc_Option_Ooption(D)),E),B),hAPP(c_Option_Ooption_OSome(D),F))),C)=hAPP(c_Set_Oimage(A,tc_Option_Ooption(D),E),C).
% 2.72/2.91 Following clause subsumed by 6351 during input processing: 0 [demod,6015,6015] {-} A=c_Com_Ocom_Ocom__size(c_Com_Ocom_OSKIP)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Com_Ocom_Ocom__size(c_Com_Ocom_OSKIP)),A)).
% 2.72/2.91 Following clause subsumed by 6318 during input processing: 0 [demod,6015] {-} hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Com_Ocom_Ocom__size(c_Com_Ocom_OSKIP)),A)).
% 2.72/2.91 Following clause subsumed by 6384 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)).
% 2.72/2.91 Following clause subsumed by 6384 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)).
% 2.72/2.94 Following clause subsumed by 6354 during input processing: 0 [] {-} hBOOL(hAPP(A,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),B),C))))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),C),B))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B),C)).
% 2.72/2.94 Following clause subsumed by 6442 during input processing: 0 [demod,6296,6403,6401,6492] {-} c_Groups_Oone__class_Oone(tc_Int_Oint)=c_Groups_Oone__class_Oone(tc_Int_Oint).
% 2.72/2.94 Following clause subsumed by 6396 during input processing: 0 [demod,6394] {-} 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)).
% 2.72/2.94 Following clause subsumed by 6288 during input processing: 0 [demod,6212,6212,flip.1] {-} hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),c_Option_Oset(tc_Nat_Onat,c_Option_Ooption_ONone(tc_Nat_Onat)))=c_Option_Oset(tc_Int_Oint,c_Option_Ooption_ONone(tc_Int_Oint)).
% 2.72/2.94 Following clause subsumed by 6452 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 2.72/2.94 Following clause subsumed by 6459 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))).
% 2.72/2.94 Following clause subsumed by 6107 during input processing: 0 [demod,6015,6567] {-} c_Com_Ocom_Ocom__size(c_Com_Ocom_OSKIP)=c_Com_Ocom_Ocom__size(c_Com_Ocom_OSKIP).
% 2.72/2.94 Following clause subsumed by 6569 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).
% 2.72/2.94 Following clause subsumed by 6570 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).
% 2.72/2.94 Following clause subsumed by 6298 during input processing: 0 [demod,6574,6015] {-} hAPP(c_Nat_OSuc,c_Com_Ocom_Ocom__size(c_Com_Ocom_OSKIP))=hAPP(c_Nat_OSuc,c_Com_Ocom_Ocom__size(c_Com_Ocom_OSKIP)).
% 2.72/2.94 Following clause subsumed by 6478 during input processing: 0 [demod,6626,6626,6476,6626] {-} hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),A),B)=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),A),B).
% 2.72/2.94 Following clause subsumed by 6452 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OPls)).
% 2.72/2.94 Following clause subsumed by 6642 during input processing: 0 [demod,6640,6015,6692] {-} hAPP(c_Int_Onat,c_Int_OPls)=hAPP(c_Int_Onat,c_Int_OPls).
% 2.72/2.94 Following clause subsumed by 6452 during input processing: 0 [demod,6657,6626] {-} hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OPls)).
% 2.72/2.94 Following clause subsumed by 6715 during input processing: 0 [demod,6626,6640,6626] {-} hBOOL(hAPP(c_Nat__Numeral_Oneg,A))|hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,A))=A.
% 2.72/2.94 Following clause subsumed by 6442 during input processing: 0 [demod,6744,6662,6820,6660,6660] {-} c_Groups_Oone__class_Oone(tc_Int_Oint)=c_Groups_Oone__class_Oone(tc_Int_Oint).
% 2.72/2.94 Following clause subsumed by 6442 during input processing: 0 [demod,6820,6660,6660,6626] {-} c_Groups_Oone__class_Oone(tc_Int_Oint)=c_Groups_Oone__class_Oone(tc_Int_Oint).
% 2.72/2.94 Following clause subsumed by 6298 during input processing: 0 [demod,6296,6692,6820,6660,6660,6640,6574,6692] {-} hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls))=hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls)).
% 2.72/2.95 Following clause subsumed by 6298 during input processing: 0 [demod,6820,6660,6660,6640,6574,6692,6296,6692] {-} hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls))=hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls)).
% 2.72/2.95 Following clause subsumed by 6298 during input processing: 0 [demod,6820,6660,6660,6640,6574,6692,6015,6692] {-} hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls))=hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls)).
% 2.72/2.95 Following clause subsumed by 6298 during input processing: 0 [demod,6820,6660,6660,6820,6640,6840,6820,6660,6660,6820,6626,6840] {-} hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls))))=hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls)))).
% 2.72/2.95 Following clause subsumed by 6857 during input processing: 0 [demod,6855] {-} 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).
% 2.72/2.95 Following clause subsumed by 6635 during input processing: 0 [demod,6864,6864,6476,6481] {-} hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),A))=hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),A)).
% 2.72/2.95 Following clause subsumed by 6488 during input processing: 0 [demod,6820,6744,6490,6490,6744,6864,6490] {-} 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)))).
% 2.72/2.95 Following clause subsumed by 6899 during input processing: 0 [demod,6626,6640,6640,6626,6640] {-} hBOOL(hAPP(c_Nat__Numeral_Oneg,A))|hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Int_Onat,A)),hAPP(c_Int_Onat,B))=hAPP(c_Int_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),A),hAPP(c_Int_Onat,B))).
% 2.72/2.95 Following clause subsumed by 6298 during input processing: 0 [demod,6015,6692,6820,6660,6660,6864,6640,6917] {-} 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))).
% 2.72/2.95 Following clause subsumed by 6298 during input processing: 0 [demod,6820,6660,6660,6864,6640,6917,6820,6660,6660,6864,6626,6917] {-} 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))).
% 2.72/2.95 Following clause subsumed by 6298 during input processing: 0 [demod,6296,6692,6296,6692,6065,6067,6620,6922,6820,6660,6660,6864,6640,6917] {-} 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))).
% 2.72/2.95 Following clause subsumed by 6298 during input processing: 0 [demod,6820,6660,6660,6864,6626,6917,6015,6692] {-} 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))).
% 2.72/2.95 Following clause subsumed by 6631 during input processing: 0 [demod,6962] {-} hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B),C)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B),C).
% 2.72/2.95 Following clause subsumed by 6997 during input processing: 0 [demod,6657,6657,6943,6481] {-} A=c_Int_OPls|c_Divides_Odiv__class_Omod(tc_Int_Oint,B,A)=c_Int_OPls|hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint,B),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),A))=hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint,B),A)),c_Groups_Oone__class_Oone(tc_Int_Oint))).
% 2.72/2.95 Following clause subsumed by 6460 during input processing: 0 [demod,6657,6657,6657] {-} hBOOL(hAPP(A,hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint,B),C)))|C=c_Int_OPls|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),C))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),C),c_Int_OPls)).
% 2.78/2.99 Following clause subsumed by 6460 during input processing: 0 [demod,6657,6657,6657] {-} hBOOL(hAPP(A,c_Divides_Odiv__class_Omod(tc_Int_Oint,B,C)))|C=c_Int_OPls|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),C))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),C),c_Int_OPls)).
% 2.78/2.99 Following clause subsumed by 6452 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OMin)).
% 2.78/2.99 Following clause subsumed by 7114 during input processing: 0 [flip.2] {-} hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),B))|c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),A),B),B)=c_Divides_Odiv__class_Omod(tc_Nat_Onat,A,B).
% 2.78/2.99 Following clause subsumed by 6637 during input processing: 0 [demod,7118] {-} hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat,A),B))=hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat,A),B)).
% 2.78/2.99 Following clause subsumed by 7120 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OPls)).
% 2.78/2.99 Following clause subsumed by 6478 during input processing: 0 [demod,6742,6864,7140] {-} 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)).
% 2.78/2.99 Following clause subsumed by 7183 during input processing: 0 [demod,6640,6820,6660,6660,6820,7148,6640,6620,6640] {-} hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,A)))),hAPP(c_Int_Onat,B))=hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat,c_Int_Onat__aux(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Int_OMin)),A)),hAPP(c_Int_Onat,B)).
% 2.78/2.99 Following clause subsumed by 7193 during input processing: 0 [demod,6640,6820,6660,6660,6820,7148,6640,6620,6640] {-} 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,c_Int_Onat__aux(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Int_OMin)),A),hAPP(c_Int_Onat,B)).
% 2.78/2.99 Following clause subsumed by 7222 during input processing: 0 [demod,6657,7246] {-} A=c_Int_OPls|hBOOL(hAPP(c_Divides_Odivmod__int__rel(B,A),c_Divides_Odivmod__int(B,A))).
% 2.78/2.99 Following clause subsumed by 7255 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).
% 2.78/2.99 Following clause subsumed by 7301 during input processing: 0 [demod,7292] {-} hBOOL(hAPP(c_Divides_Odivmod__nat__rel(A,B),c_Divides_Odivmod__nat(A,B))).
% 2.78/2.99 Following clause subsumed by 7324 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)).
% 2.78/2.99 Following clause subsumed by 7324 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)).
% 2.78/2.99 Following clause subsumed by 7394 during input processing: 0 [demod,6212] {-} hBOOL(hAPP(c_Finite__Set_Ofinite(A),c_Option_Oset(A,c_Option_Ooption_ONone(A)))).
% 2.78/2.99 Following clause subsumed by 7443 during input processing: 0 [demod,6015,6692] {-} hAPP(c_Finite__Set_Ocard(A),B)=hAPP(c_Int_Onat,c_Int_OPls)|hBOOL(hAPP(c_Finite__Set_Ofinite(A),B)).
% 2.78/2.99 Following clause subsumed by 7323 during input processing: 0 [demod,7453,6538] {-} hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(A,tc_Nat_Onat),B),C)=hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(A,tc_Nat_Onat),B),C).
% 2.78/3.03 Following clause subsumed by 7443 during input processing: 0 [demod,6015,6692] {-} hBOOL(hAPP(c_Finite__Set_Ofinite(A),B))|hAPP(c_Finite__Set_Ocard(A),B)=hAPP(c_Int_Onat,c_Int_OPls).
% 2.78/3.03 Following clause subsumed by 7323 during input processing: 0 [demod,6015,6692,7510,7528,6015,6692,6212,6608,7540] {-} c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(c_Int_Onat,c_Int_OPls),hAPP(c_Int_Onat,c_Int_OPls))=c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(c_Int_Onat,c_Int_OPls),hAPP(c_Int_Onat,c_Int_OPls)).
% 2.78/3.03 Following clause subsumed by 7323 during input processing: 0 [demod,7552,7515,7510,7528] {-} c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(c_Int_Onat,c_Int_OPls),A)=c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(c_Int_Onat,c_Int_OPls),A).
% 2.78/3.03 Following clause subsumed by 7547 during input processing: 0 [demod,6657] {-} hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint,c_Int_OPls),A))).
% 2.78/3.03 Following clause subsumed by 7323 during input processing: 0 [demod,7596,6538] {-} hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(A,tc_Nat_Onat),B),C)=hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(A,tc_Nat_Onat),B),C).
% 2.78/3.03 Following clause subsumed by 7323 during input processing: 0 [demod,7610] {-} hAPP(D,hAPP(E,F))=hAPP(D,hAPP(E,F)).
% 2.78/3.03 Following clause subsumed by 7616 during input processing: 0 [] {-} hAPP(hAPP(c_Option_Omap(A,B),C),hAPP(hAPP(c_Option_Omap(D,A),E),F))=hAPP(hAPP(c_Option_Omap(D,B),hAPP(c_Fun_Ocomp(A,B,D,C),E)),F).
% 2.78/3.03 Following clause subsumed by 7640 during input processing: 0 [demod,6212] {-} hBOOL(hAPP(c_Finite__Set_Ofold__graph(A,B,C,D,c_Option_Oset(A,c_Option_Ooption_ONone(A))),D)).
% 2.78/3.03 Following clause subsumed by 7661 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)).
% 2.78/3.03 Following clause subsumed by 7686 during input processing: 0 [demod,6597] {-} hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool)),B),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(A,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,tc_fun(A,tc_HOL_Obool)),D),E)))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,tc_fun(A,tc_HOL_Obool)),D),hAPP(hAPP(c_COMBB(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool),C),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(A,tc_HOL_Obool)),B)),E)).
% 2.78/3.03 Following clause subsumed by 7759 during input processing: 0 [] {-} hAPP(hAPP(c_Product__Type_OSigma(A,B),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool)),C),D)),hAPP(c_COMBK(tc_fun(B,tc_HOL_Obool),A),E))=hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(A,B),tc_HOL_Obool)),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))).
% 2.78/3.03 Following clause subsumed by 7768 during input processing: 0 [demod,6597,7732,6597,7732] {-} hAPP(hAPP(c_Product__Type_OSigma(A,B),hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,C)),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_Product__Type_OSigma(A,B),D),hAPP(c_COMBK(tc_fun(B,tc_HOL_Obool),A),E))).
% 2.78/3.03 Following clause subsumed by 7323 during input processing: 0 [demod,7796] {-} c_Product__Type_Omap__pair(A,B,C,D,hAPP(c_Fun_Ocomp(E,B,A,F),G),hAPP(c_Fun_Ocomp(H,D,C,I),J))=c_Product__Type_Omap__pair(A,B,C,D,hAPP(c_Fun_Ocomp(E,B,A,F),G),hAPP(c_Fun_Ocomp(H,D,C,I),J)).
% 2.92/3.10 Following clause subsumed by 7807 during input processing: 0 [demod,6212,6212,7729] {-} c_Relation_Orefl__on(A,c_Option_Oset(A,c_Option_Ooption_ONone(A)),c_Relation_OId__on(A,c_Option_Oset(A,c_Option_Ooption_ONone(A)))).
% 2.92/3.10 Following clause subsumed by 7843 during input processing: 0 [demod,7838] {-} hAPP(hAPP(c_Set_Oinsert(A),B),C)=hAPP(hAPP(c_COMBS(A,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),A),c_fdisj),hAPP(hAPP(c_COMBC(A,A,tc_HOL_Obool),c_fequal),B))),hAPP(hAPP(c_COMBC(A,tc_fun(A,tc_HOL_Obool),tc_HOL_Obool),c_member(A)),C)).
% 2.92/3.10 Following clause subsumed by 7857 during input processing: 0 [demod,7855,7838,6212] {-} 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)=c_Option_Oset(C,c_Option_Ooption_ONone(C)).
% 2.92/3.10 Following clause subsumed by 7892 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).
% 2.92/3.10 Following clause subsumed by 7323 during input processing: 0 [demod,7930] {-} B=B.
% 2.92/3.10 Following clause subsumed by 7323 during input processing: 0 [demod,6703,7841,7948,6703,7841] {-} hAPP(c_COMBK(tc_HOL_Obool,A),c_fTrue)=hAPP(c_COMBK(tc_HOL_Obool,A),c_fTrue).
% 2.92/3.10 Following clause subsumed by 8044 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)).
% 2.92/3.10 Following clause subsumed by 8045 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).
% 2.92/3.10 Following clause subsumed by 6195 during input processing: 0 [demod,8004,8066] {-} hAPP(hAPP(c_Map_Omap__of(A,B),C),D)=c_Option_Ooption_ONone(B)|hBOOL(hAPP(hAPP(c_member(A),D),c_Map_Odom(A,B,hAPP(c_Map_Omap__of(A,B),C)))).
% 2.92/3.10 Following clause subsumed by 7323 during input processing: 0 [demod,8071] {-} c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,A,B)=c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,A,B).
% 2.92/3.10 Following clause subsumed by 8143 during input processing: 0 [demod,6640,6015,6692,6640,8138,6640,6296,6692,7467,7593] {-} hAPP(c_Int_Onat,A)=hAPP(c_Int_Onat,c_Int_OPls)|c_Nat_Onat_Onat__case(B,C,hAPP(c_List_Onth(B),D),hAPP(c_Int_Onat,A))=hAPP(hAPP(c_List_Onth(B),D),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_COMBK(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls)))),c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls)),hAPP(c_Int_Onat,A)))).
% 2.92/3.10 Following clause subsumed by 7323 during input processing: 0 [demod,8208] {-} B=B.
% 2.92/3.10 Following clause subsumed by 7323 during input processing: 0 [demod,7260] {-} c_Hilbert__Choice_OEps(tc_prod(A,B),C)=c_Hilbert__Choice_OEps(tc_prod(A,B),C).
% 2.92/3.10 Following clause subsumed by 8240 during input processing: 0 [] {-} c_List_Olistrelp(A,B,c_List_Olist_ONil(A),c_List_Olist_ONil(A)).
% 2.92/3.10 Following clause subsumed by 7323 during input processing: 0 [demod,8179,8230] {-} c_List_Olist_ONil(A)=c_List_Olist_ONil(A).
% 2.92/3.10 Following clause subsumed by 7323 during input processing: 0 [demod,8251] {-} c_List_Olist_ONil(A)=c_List_Olist_ONil(A).
% 2.92/3.10 Following clause subsumed by 8236 during input processing: 0 [] {-} hAPP(hAPP(c_Map_Omap__of(A,B),c_List_Olist_ONil(tc_prod(A,B))),C)=c_Option_Ooption_ONone(B).
% 2.92/3.10 Following clause subsumed by 8272 during input processing: 0 [demod,6626,6626,6626,6626] {-} 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).
% 2.92/3.10 Following clause subsumed by 7323 during input processing: 0 [demod,8355] {-} c_List_Obutlast(A,hAPP(hAPP(c_List_Odrop(A),B),C))=c_List_Obutlast(A,hAPP(hAPP(c_List_Odrop(A),B),C)).
% 2.95/3.17 Following clause subsumed by 8388 during input processing: 0 [demod,6640,6015,6692,6640,6640,6296,6692,7467,7593] {-} hAPP(c_Int_Onat,A)=hAPP(c_Int_Onat,c_Int_OPls)|hAPP(hAPP(c_List_Odrop(B),hAPP(c_Int_Onat,A)),hAPP(hAPP(c_List_Olist_OCons(B),C),D))=hAPP(hAPP(c_List_Odrop(B),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_COMBK(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls)))),c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls)),hAPP(c_Int_Onat,A)))),D).
% 2.95/3.17 Following clause subsumed by 8400 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).
% 2.95/3.17 Following clause subsumed by 8459 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).
% 2.95/3.17 Following clause subsumed by 8461 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).
% 2.95/3.17 Following clause subsumed by 8495 during input processing: 0 [] {-} hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool)),B),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(C,tc_fun(A,tc_HOL_Obool)),D),E))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(C,tc_fun(A,tc_HOL_Obool)),D),hAPP(hAPP(c_COMBB(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool),C),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool)),B)),E)).
% 2.95/3.17 Following clause subsumed by 8539 during input processing: 0 [] {-} hBOOL(hAPP(c_List_Olistsp(A,B),c_List_Olist_ONil(A))).
% 2.95/3.17 Following clause subsumed by 8615 during input processing: 0 [demod,6640,6640,6640,6640] {-} hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onat,A)),hAPP(c_Int_Onat,B)))|c_List_Oupt(hAPP(c_Int_Onat,A),hAPP(c_Int_Onat,B))=c_List_Olist_ONil(tc_Nat_Onat).
% 2.95/3.17 Following clause subsumed by 8617 during input processing: 0 [demod,7552,6015,6692,flip.1] {-} hAPP(c_List_Oset(tc_Nat_Onat),c_List_Oupt(hAPP(c_Int_Onat,c_Int_OPls),A))=hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(c_Int_Onat,c_Int_OPls)),A).
% 2.95/3.17 Following clause subsumed by 7323 during input processing: 0 [demod,7510,7528,6015,6692,8626] {-} c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(c_Int_Onat,c_Int_OPls),A)=c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(c_Int_Onat,c_Int_OPls),A).
% 2.95/3.17 Following clause subsumed by 7323 during input processing: 0 [demod,8803] {-} 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).
% 2.95/3.17 Following clause subsumed by 7323 during input processing: 0 [demod,8831] {-} 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).
% 2.95/3.17 Following clause subsumed by 8903 during input processing: 0 [flip.2] {-} hBOOL(hAPP(hAPP(c_member(A),B),hAPP(c_List_Oset(A),C)))|hAPP(hAPP(c_List_Olist_OCons(A),B),C)=c_List_Oinsert(A,B,C).
% 2.95/3.17 Following clause subsumed by 7323 during input processing: 0 [demod,8913] {-} c_List_Omaps(A,B,C,D)=c_List_Omaps(A,B,C,D).
% 2.95/3.17 Following clause subsumed by 7323 during input processing: 0 [demod,8940] {-} 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)).
% 2.95/3.17 Following clause subsumed by 7323 during input processing: 0 [demod,9006] {-} A=A.
% 2.95/3.17 Following clause subsumed by 7323 during input processing: 0 [demod,8982,9006,9006] {-} 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).
% 2.95/3.17 Following clause subsumed by 7323 during input processing: 0 [demod,8990,7610,9004,6640] {-} hAPP(c_Int_Onat,A)=hAPP(c_Int_Onat,A).
% 4.06/4.27 Following clause subsumed by 7323 during input processing: 0 [demod,9029,9038] {-} c_Transitive__Closure_Otrancl(A,B)=c_Transitive__Closure_Otrancl(A,B).
% 4.06/4.27 Following clause subsumed by 7323 during input processing: 0 [demod,9070] {-} hAPP(hAPP(c_Code__Numeral_Osubtract__code__numeral,A),B)=hAPP(hAPP(c_Code__Numeral_Osubtract__code__numeral,A),B).
% 4.06/4.27 Following clause subsumed by 7323 during input processing: 0 [demod,9091] {-} hAPP(c_Relation_ORange(B,A),C)=hAPP(c_Relation_ORange(B,A),C).
% 4.06/4.27 Following clause subsumed by 7323 during input processing: 0 [] {-} A=A.
% 4.06/4.27 5980 back subsumes 5313.
% 4.06/4.27 5980 back subsumes 5312.
% 4.06/4.27 Following clause subsumed by 6324 during input processing: 0 [copy,6001,flip.1,demod,7863,7863,7863,7863] {-} hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool)),hAPP(c_fequal,B)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool)),hAPP(c_fequal,C)),D))=hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool)),hAPP(c_fequal,C)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool)),hAPP(c_fequal,B)),D)).
% 4.06/4.27 Following clause subsumed by 6056 during input processing: 0 [copy,6056,flip.1] {-} hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B),C))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),A),C)).
% 4.06/4.27 Following clause subsumed by 6057 during input processing: 0 [copy,6057,flip.1] {-} hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),A),B)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B),A).
% 4.06/4.27 Following clause subsumed by 7323 during input processing: 0 [copy,6069,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)).
% 4.06/4.27 Following clause subsumed by 7323 during input processing: 0 [copy,6107,flip.1,demod,6692,6692] {-} hAPP(c_Int_Onat,c_Int_OPls)=hAPP(c_Int_Onat,c_Int_OPls).
% 4.06/4.27 6286 back subsumes 5521.
% 4.06/4.27 6286 back subsumes 5378.
% 4.06/4.27 Following clause subsumed by 7323 during input processing: 0 [copy,6298,flip.1] {-} hAPP(c_Nat_OSuc,A)=hAPP(c_Nat_OSuc,A).
% 4.06/4.27 6298 back subsumes 6069.
% 4.06/4.27 Following clause subsumed by 6324 during input processing: 0 [copy,6324,flip.1] {-} hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool)),B),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool)),C),D))=hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool)),C),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool)),B),D)).
% 4.06/4.27 Following clause subsumed by 6327 during input processing: 0 [copy,6327,flip.1] {-} hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool)),B),C)=hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool)),C),B).
% 4.06/4.28 Following clause subsumed by 6324 during input processing: 0 [copy,6339,flip.1,demod,7863,7863] {-} hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool)),hAPP(c_fequal,B)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool)),C),D))=hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool)),C),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool)),hAPP(c_fequal,B)),D)).
% 4.06/4.28 Following clause subsumed by 7323 during input processing: 0 [copy,6359,flip.1,demod,7863,7863] {-} hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool)),hAPP(c_fequal,B)),C)=hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool)),hAPP(c_fequal,B)),C).
% 4.06/4.28 6359 back subsumes 5326.
% 4.06/4.28 6379 back subsumes 5369.
% 4.06/4.28 Following clause subsumed by 6389 during input processing: 0 [copy,6389,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).
% 5.04/5.26 Following clause subsumed by 7323 during input processing: 0 [copy,6396,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)).
% 5.04/5.26 Following clause subsumed by 7323 during input processing: 0 [copy,6442,flip.1] {-} c_Groups_Oone__class_Oone(tc_Int_Oint)=c_Groups_Oone__class_Oone(tc_Int_Oint).
% 5.04/5.26 6452 back subsumes 5573.
% 5.04/5.26 6457 back subsumes 2116.
% 5.04/5.26 6459 back subsumes 5479.
% 5.04/5.26 Following clause subsumed by 6465 during input processing: 0 [copy,6465,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).
% 5.04/5.26 Following clause subsumed by 7323 during input processing: 0 [copy,6478,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).
% 5.04/5.26 Following clause subsumed by 6487 during input processing: 0 [copy,6487,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).
% 5.04/5.26 Following clause subsumed by 6488 during input processing: 0 [copy,6488,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)).
% 5.04/5.26 Following clause subsumed by 7323 during input processing: 0 [copy,6499,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)).
% 5.04/5.26 Following clause subsumed by 7323 during input processing: 0 [copy,6501,flip.1,demod,6657,6657] {-} c_Int_OPls=c_Int_OPls.
% 5.04/5.26 6501 back subsumes 5917.
% 5.04/5.26 6501 back subsumes 5916.
% 5.04/5.26 Following clause subsumed by 9870 during input processing: 0 [copy,6586,flip.1,demod,8258,6597,6260] {-} hAPP(c_List_Oset(A),c_List_Olist_ONil(A))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool)),B),B).
% 5.04/5.26 Following clause subsumed by 7323 during input processing: 0 [copy,6631,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).
% 5.04/5.26 Following clause subsumed by 7323 during input processing: 0 [copy,6633,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).
% 5.04/5.26 Following clause subsumed by 7323 during input processing: 0 [copy,6635,flip.1,demod,7132,7132] {-} hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_OMin),A)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_OMin),A).
% 5.04/5.26 Following clause subsumed by 7323 during input processing: 0 [copy,6637,flip.1] {-} hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),A)=hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),A).
% 5.04/5.26 6637 back subsumes 6499.
% 5.04/5.26 6637 back subsumes 6396.
% 5.04/5.26 Following clause subsumed by 7323 during input processing: 0 [copy,6642,flip.1] {-} hAPP(c_Int_Onat,A)=hAPP(c_Int_Onat,A).
% 5.04/5.26 6642 back subsumes 5510.
% 5.04/5.26 Following clause subsumed by 7323 during input processing: 0 [copy,6683,flip.1,demod,6703,8258,6703,8258] {-} hAPP(c_Set_Oimage(A,B,C),hAPP(c_Set_Oimage(D,A,E),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(D,tc_HOL_Obool)),hAPP(c_List_Oset(D),c_List_Olist_ONil(D)))))=hAPP(c_Set_Oimage(A,B,C),hAPP(c_Set_Oimage(D,A,E),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(D,tc_HOL_Obool)),hAPP(c_List_Oset(D),c_List_Olist_ONil(D))))).
% 5.04/5.26 Following clause subsumed by 7323 during input processing: 0 [copy,6694,flip.1] {-} c_Int_OPls=c_Int_OPls.
% 5.04/5.26 Following clause subsumed by 7323 during input processing: 0 [copy,6857,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).
% 5.34/5.52 Following clause subsumed by 7323 during input processing: 0 [copy,6948,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).
% 5.34/5.52 Following clause subsumed by 7323 during input processing: 0 [copy,6959,flip.1,demod,7132,7132] {-} c_Divides_Odiv__class_Omod(tc_Int_Oint,A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_OMin),B))=c_Divides_Odiv__class_Omod(tc_Int_Oint,A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_OMin),B)).
% 5.34/5.52 Following clause subsumed by 7323 during input processing: 0 [copy,7126,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)).
% 5.34/5.52 Following clause subsumed by 7323 during input processing: 0 [copy,7264,flip.1,demod,8788,8788] {-} c_Enum_Oenum__the(tc_prod(A,B),C)=c_Enum_Oenum__the(tc_prod(A,B),C).
% 5.34/5.52 Following clause subsumed by 7323 during input processing: 0 [copy,7323,flip.1] {-} A=A.
% 5.34/5.52 7323 back subsumes 7264.
% 5.34/5.52 7323 back subsumes 7126.
% 5.34/5.52 7323 back subsumes 6948.
% 5.34/5.52 7323 back subsumes 6857.
% 5.34/5.52 7323 back subsumes 6694.
% 5.34/5.52 7323 back subsumes 6642.
% 5.34/5.52 7323 back subsumes 6637.
% 5.34/5.52 7323 back subsumes 6633.
% 5.34/5.52 7323 back subsumes 6631.
% 5.34/5.52 7323 back subsumes 6478.
% 5.34/5.52 7323 back subsumes 6442.
% 5.34/5.52 7323 back subsumes 6359.
% 5.34/5.52 7323 back subsumes 6298.
% 5.34/5.52 7323 back subsumes 5920.
% 5.34/5.52 7323 back subsumes 5895.
% 5.34/5.52 7323 back subsumes 5893.
% 5.34/5.52 7323 back subsumes 5869.
% 5.34/5.52 7323 back subsumes 5863.
% 5.34/5.52 7323 back subsumes 5841.
% 5.34/5.52 7323 back subsumes 5840.
% 5.34/5.52 7323 back subsumes 5838.
% 5.34/5.52 7323 back subsumes 5837.
% 5.34/5.52 7323 back subsumes 5836.
% 5.34/5.52 7323 back subsumes 5835.
% 5.34/5.52 7323 back subsumes 5834.
% 5.34/5.52 7323 back subsumes 5830.
% 5.34/5.52 7323 back subsumes 5829.
% 5.34/5.52 7323 back subsumes 5828.
% 5.34/5.52 7323 back subsumes 5801.
% 5.34/5.52 7323 back subsumes 5800.
% 5.34/5.52 7323 back subsumes 5793.
% 5.34/5.52 7323 back subsumes 5792.
% 5.34/5.52 7323 back subsumes 5783.
% 5.34/5.52 7323 back subsumes 5782.
% 5.34/5.52 7323 back subsumes 5758.
% 5.34/5.52 7323 back subsumes 5757.
% 5.34/5.52 7323 back subsumes 5756.
% 5.34/5.52 7323 back subsumes 5663.
% 5.34/5.52 7323 back subsumes 5646.
% 5.34/5.52 7323 back subsumes 5613.
% 5.34/5.52 7323 back subsumes 5557.
% 5.34/5.52 7323 back subsumes 5525.
% 5.34/5.52 7323 back subsumes 5524.
% 5.34/5.52 7323 back subsumes 5470.
% 5.34/5.52 7323 back subsumes 5385.
% 5.34/5.52 7323 back subsumes 5384.
% 5.34/5.52 7323 back subsumes 5382.
% 5.34/5.52 7323 back subsumes 5372.
% 5.34/5.52 7323 back subsumes 5371.
% 5.34/5.52 7323 back subsumes 5354.
% 5.34/5.52 7323 back subsumes 5351.
% 5.34/5.52 7323 back subsumes 5339.
% 5.34/5.52 7323 back subsumes 5337.
% 5.34/5.52 7323 back subsumes 5325.
% 5.34/5.52 7323 back subsumes 5309.
% 5.34/5.52 7323 back subsumes 5298.
% 5.34/5.52 Following clause subsumed by 8628 during input processing: 0 [copy,7495,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).
% 5.34/5.52 Following clause subsumed by 8076 during input processing: 0 [copy,7500,flip.1] {-} c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Int_Oint,A,B)=c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),A),c_Int_OMin),B).
% 5.34/5.52 7612 back subsumes 3576.
% 5.34/5.52 Following clause subsumed by 10127 during input processing: 0 [copy,7621,flip.1,demod,9402] {-} c_Option_Ooption_ONone(A)=hAPP(hAPP(c_Option_Omap(B,A),C),c_Option_Ooption_ONone(B)).
% 5.34/5.52 Following clause subsumed by 7662 during input processing: 0 [copy,7661,flip.1] {-} hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,tc_fun(B,tc_HOL_Obool)),C),hAPP(hAPP(c_COMBC(A,tc_fun(D,tc_fun(B,tc_HOL_Obool)),tc_fun(B,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(D,tc_HOL_Obool),tc_fun(tc_fun(D,tc_fun(B,tc_HOL_Obool)),tc_fun(B,tc_HOL_Obool)),A),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(D,tc_fun(B,tc_HOL_Obool))),E)),F))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(D,tc_fun(B,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,tc_fun(D,tc_HOL_Obool)),C),E)),F).
% 5.60/5.80 Following clause subsumed by 7661 during input processing: 0 [copy,7662,flip.1] {-} hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,tc_fun(B,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,tc_fun(A,tc_HOL_Obool)),D),E)),F)=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,tc_fun(B,tc_HOL_Obool)),D),hAPP(hAPP(c_COMBC(C,tc_fun(A,tc_fun(B,tc_HOL_Obool)),tc_fun(B,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(A,tc_HOL_Obool),tc_fun(tc_fun(A,tc_fun(B,tc_HOL_Obool)),tc_fun(B,tc_HOL_Obool)),C),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,tc_fun(B,tc_HOL_Obool))),E)),F)).
% 5.60/5.80 Following clause subsumed by 7678 during input processing: 0 [copy,7676,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)).
% 5.60/5.80 Following clause subsumed by 7676 during input processing: 0 [copy,7678,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).
% 5.60/5.80 Following clause subsumed by 7692 during input processing: 0 [copy,7691,flip.1] {-} hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool)),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_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool))),D)),E)).
% 5.60/5.80 Following clause subsumed by 7691 during input processing: 0 [copy,7692,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(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(B,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,tc_fun(B,tc_HOL_Obool)),C),D)),E).
% 5.60/5.80 7748 back subsumes 7747.
% 5.60/5.80 Following clause subsumed by 7323 during input processing: 0 [copy,7843,flip.1,demod,7855,11433,7863,11425] {-} 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).
% 5.60/5.80 Following clause subsumed by 7500 during input processing: 0 [copy,8076,flip.1] {-} c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),A),c_Int_OMin),B)=c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Int_Oint,A,B).
% 5.60/5.80 Following clause subsumed by 8077 during input processing: 0 [copy,8077,flip.1] {-} c_List_Oremove1(A,B,c_List_Oremove1(A,C,D))=c_List_Oremove1(A,C,c_List_Oremove1(A,B,D)).
% 5.60/5.80 8150 back subsumes 4209.
% 5.60/5.80 8272 back subsumes 4336.
% 5.60/5.80 8282 back subsumes 8227.
% 5.60/5.80 Following clause subsumed by 8408 during input processing: 0 [copy,8407,flip.1] {-} hAPP(hAPP(c_List_Odrop(A),B),hAPP(c_List_Otl(A),C))=hAPP(c_List_Otl(A),hAPP(hAPP(c_List_Odrop(A),B),C)).
% 5.60/5.80 Following clause subsumed by 8407 during input processing: 0 [copy,8408,flip.1] {-} hAPP(c_List_Otl(A),hAPP(hAPP(c_List_Odrop(A),B),C))=hAPP(hAPP(c_List_Odrop(A),B),hAPP(c_List_Otl(A),C)).
% 5.60/5.80 Following clause subsumed by 8469 during input processing: 0 [copy,8468,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).
% 5.70/5.89 Following clause subsumed by 8468 during input processing: 0 [copy,8469,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)).
% 5.70/5.89 Following clause subsumed by 8502 during input processing: 0 [copy,8501,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)).
% 5.70/5.89 Following clause subsumed by 8501 during input processing: 0 [copy,8502,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).
% 5.70/5.89 Following clause subsumed by 8617 during input processing: 0 [copy,8616,flip.1] {-} hAPP(c_List_Oset(tc_Nat_Onat),c_List_Oupt(A,B))=hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,A),B).
% 5.70/5.89 Following clause subsumed by 8616 during input processing: 0 [copy,8617,flip.1] {-} hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,A),B)=hAPP(c_List_Oset(tc_Nat_Onat),c_List_Oupt(A,B)).
% 5.70/5.89 Following clause subsumed by 7495 during input processing: 0 [copy,8628,flip.1] {-} c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(c_Nat_OSuc,A),B)=c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,A,B).
% 5.70/5.89 Following clause subsumed by 8796 during input processing: 0 [copy,8795,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).
% 5.70/5.89 Following clause subsumed by 8795 during input processing: 0 [copy,8796,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)).
% 5.70/5.89 Following clause subsumed by 8877 during input processing: 0 [copy,8876,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)).
% 5.70/5.89 Following clause subsumed by 8876 during input processing: 0 [copy,8877,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).
% 5.70/5.89 Following clause subsumed by 11876 during input processing: 0 [copy,8901,flip.1,demod,11427,11425,11754,11587] {-} hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,hAPP(c_List_Oset(A),B))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),hAPP(c_fequal,C)))=hAPP(c_List_Oset(A),hAPP(c_List_OremoveAll(A,C),B)).
% 5.70/5.89 Following clause subsumed by 11162 during input processing: 0 [copy,8938,flip.1,demod,8940] {-} 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_Oprod_Oprod__case(B,C,G),A),hAPP(D,E)).
% 5.70/5.89 9001 back subsumes 5894.
% 5.70/5.89 9410 back subsumes 5921.
% 5.70/5.89 9411 back subsumes 8062.
% 5.70/5.89 9411 back subsumes 4042.
% 5.70/5.89 Following clause subsumed by 5922 during input processing: 0 [copy,9416,flip.1] {-} c_Option_Ooption_Ooption__rec(A,B,C,D,hAPP(c_Option_Ooption_OSome(B),E))=hAPP(D,E).
% 5.72/5.90 Following clause subsumed by 5927 during input processing: 0 [copy,9417,flip.1] {-} hAPP(hAPP(c_Option_Obind(A,B),hAPP(c_Option_Ooption_OSome(A),C)),D)=hAPP(D,C).
% 5.72/5.90 Following clause subsumed by 5929 during input processing: 0 [copy,9418,flip.1] {-} c_Com_Ocom_Ocom__case(A,B,C,D,E,F,G,H,I,hAPP(c_Com_Ocom_OBODY,J))=hAPP(H,J).
% 5.72/5.90 Following clause subsumed by 5937 during input processing: 0 [copy,9419,flip.1] {-} c_Com_Ocom_Ocom__case(A,B,C,D,E,F,G,H,I,c_Com_Ocom_OSemi(J,K))=hAPP(hAPP(E,J),K).
% 5.72/5.90 Following clause subsumed by 5938 during input processing: 0 [copy,9420,flip.1] {-} c_Com_Ocom_Ocom__case(A,B,C,D,E,F,G,H,I,c_Com_Ocom_OCall(J,K,L))=hAPP(hAPP(hAPP(I,J),K),L).
% 5.72/5.90 Following clause subsumed by 5939 during input processing: 0 [copy,9421,flip.1] {-} c_Com_Ocom_Ocom__case(A,B,C,D,E,F,G,H,I,c_Com_Ocom_OCond(J,K,L))=hAPP(hAPP(hAPP(F,J),K),L).
% 5.72/5.90 Following clause subsumed by 5946 during input processing: 0 [copy,9422,flip.1] {-} hAPP(hAPP(c_Option_Obind(A,B),c_Option_Ooption_ONone(A)),C)=c_Option_Ooption_ONone(B).
% 5.72/5.90 Following clause subsumed by 5955 during input processing: 0 [copy,9423,flip.1] {-} c_Com_Ocom_Ocom__rec(A,B,C,D,E,F,G,H,I,c_Com_Ocom_OCall(J,K,L))=hAPP(hAPP(hAPP(I,J),K),L).
% 5.72/5.90 Following clause subsumed by 5959 during input processing: 0 [copy,9424,flip.1] {-} c_Com_Ocom_Ocom__rec(A,B,C,D,E,F,G,H,I,hAPP(c_Com_Ocom_OBODY,J))=hAPP(H,J).
% 5.72/5.90 Following clause subsumed by 5964 during input processing: 0 [copy,9425,flip.1] {-} c_Com_Ocom_Ocom__rec(A,B,C,D,E,F,G,H,I,c_Com_Ocom_OAss(J,K))=hAPP(hAPP(C,J),K).
% 5.72/5.90 Following clause subsumed by 5969 during input processing: 0 [copy,9426,flip.1] {-} c_Com_Ocom_Ocom__case(A,B,C,D,E,F,G,H,I,c_Com_Ocom_OAss(J,K))=hAPP(hAPP(C,J),K).
% 5.72/5.90 Following clause subsumed by 5970 during input processing: 0 [copy,9427,flip.1] {-} c_Com_Ocom_Ocom__case(A,B,C,D,E,F,G,H,I,c_Com_Ocom_OLocal(J,K,L))=hAPP(hAPP(hAPP(D,J),K),L).
% 5.72/5.90 Following clause subsumed by 5975 during input processing: 0 [copy,9428,flip.1] {-} c_Com_Ocom_Ocom__case(A,B,C,D,E,F,G,H,I,c_Com_Ocom_OWhile(J,K))=hAPP(hAPP(G,J),K).
% 5.72/5.90 Following clause subsumed by 5996 during input processing: 0 [copy,9429,flip.1] {-} c_Hoare__Mirabelle_Otriple_Otriple__case(A,B,C,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(A),D),E),F))=hAPP(hAPP(hAPP(C,D),E),F).
% 5.72/5.90 Following clause subsumed by 5997 during input processing: 0 [copy,9430,flip.1] {-} c_Hoare__Mirabelle_Otriple_Otriple__rec(A,B,C,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(A),D),E),F))=hAPP(hAPP(hAPP(C,D),E),F).
% 5.72/5.90 Following clause subsumed by 5998 during input processing: 0 [copy,9431,flip.1] {-} c_Com_Ovname_Ovname__rec(A,B,C,c_Com_Ovname_OLoc(D))=hAPP(C,D).
% 5.72/5.90 Following clause subsumed by 5999 during input processing: 0 [copy,9432,flip.1] {-} c_Com_Ovname_Ovname__case(A,B,C,c_Com_Ovname_OLoc(D))=hAPP(C,D).
% 5.72/5.90 Following clause subsumed by 6011 during input processing: 0 [copy,9440,flip.1] {-} c_Com_Ovname_Ovname__case(A,B,C,c_Com_Ovname_OGlb(D))=hAPP(B,D).
% 5.72/5.90 Following clause subsumed by 6012 during input processing: 0 [copy,9441,flip.1] {-} c_Com_Ovname_Ovname__rec(A,B,C,c_Com_Ovname_OGlb(D))=hAPP(B,D).
% 5.72/5.90 9715 back subsumes 9573.
% 5.72/5.90 Following clause subsumed by 7323 during input processing: 0 [copy,9744,flip.1,demod,10841,12042] {-} hAPP(c_Nat_OSuc,c_Com_Ocom_Ocom__size(A))=hAPP(c_Nat_OSuc,c_Com_Ocom_Ocom__size(A)).
% 5.72/5.90 Following clause subsumed by 7323 during input processing: 0 [copy,9745,flip.1,demod,10841,12038] {-} hAPP(c_Nat_OSuc,c_Com_Ocom_Ocom__size(A))=hAPP(c_Nat_OSuc,c_Com_Ocom_Ocom__size(A)).
% 5.72/5.90 Following clause subsumed by 6071 during input processing: 0 [copy,9746,flip.1] {-} c_Option_Ooption_Ooption__size(A,B,hAPP(c_Option_Ooption_OSome(A),C))=hAPP(c_Nat_OSuc,hAPP(B,C)).
% 5.72/5.90 Following clause subsumed by 9748 during input processing: 0 [copy,9747,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)).
% 5.72/5.90 Following clause subsumed by 9747 during input processing: 0 [copy,9748,flip.1] {-} hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),c_Com_Ocom_OSemi(A,B))=hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),c_Com_Ocom_OCond(C,A,B)).
% 5.74/5.92 Following clause subsumed by 6115 during input processing: 0 [copy,9749,flip.1] {-} c_Nitpick_Opair__box_Opair__box__size(A,B,C,D,c_Nitpick_Opair__box_OPairBox(A,B,E,F))=hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(C,E)),hAPP(D,F))).
% 5.74/5.92 Following clause subsumed by 6117 during input processing: 0 [copy,9750,flip.1] {-} c_Sum__Type_Osum_Osum__size(A,B,C,D,hAPP(c_Sum__Type_OInl(A,B),E))=hAPP(c_Nat_OSuc,hAPP(C,E)).
% 5.74/5.92 Following clause subsumed by 6119 during input processing: 0 [copy,9751,flip.1] {-} c_Sum__Type_Osum_Osum__size(A,B,C,D,hAPP(c_Sum__Type_OInr(B,A),E))=hAPP(c_Nat_OSuc,hAPP(D,E)).
% 5.74/5.92 Following clause subsumed by 7323 during input processing: 0 [copy,9752,flip.1,demod,11425,11512] {-} c_Map_Orestrict__map(A,B,C,hAPP(hAPP(c_COMBS(A,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),A),c_fdisj),hAPP(c_fequal,D))),E))=c_Map_Orestrict__map(A,B,C,hAPP(hAPP(c_COMBS(A,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),A),c_fdisj),hAPP(c_fequal,D))),E)).
% 5.74/5.92 Following clause subsumed by 6129 during input processing: 0 [copy,9754,flip.1] {-} hAPP(hAPP(c_Option_Obind(A,B),hAPP(hAPP(c_Option_Obind(C,A),D),E)),F)=hAPP(hAPP(c_Option_Obind(C,B),D),hAPP(hAPP(c_COMBC(C,tc_fun(A,tc_Option_Ooption(B)),tc_Option_Ooption(B)),hAPP(hAPP(c_COMBB(tc_Option_Ooption(A),tc_fun(tc_fun(A,tc_Option_Ooption(B)),tc_Option_Ooption(B)),C),c_Option_Obind(A,B)),E)),F)).
% 5.74/5.92 Following clause subsumed by 6143 during input processing: 0 [copy,9757,flip.1] {-} c_Map_Omap__comp(A,B,C,D,E,F)=hAPP(c_Option_Ooption_Ooption__case(tc_Option_Ooption(B),A,c_Option_Ooption_ONone(B),D),hAPP(E,F)).
% 5.74/5.92 Following clause subsumed by 6144 during input processing: 0 [copy,9758,flip.1] {-} c_Map_Omap__comp(A,B,C,D,hAPP(c_COMBK(tc_Option_Ooption(A),C),c_Option_Ooption_ONone(A)),E)=c_Option_Ooption_ONone(B).
% 5.74/5.92 Following clause subsumed by 6152 during input processing: 0 [copy,9759,flip.1] {-} c_Nitpick_Opair__box_Opair__box__rec(A,B,C,D,c_Nitpick_Opair__box_OPairBox(A,B,E,F))=hAPP(hAPP(D,E),F).
% 5.74/5.92 Following clause subsumed by 6153 during input processing: 0 [copy,9760,flip.1] {-} c_Nitpick_Opair__box_Opair__box__case(A,B,C,D,c_Nitpick_Opair__box_OPairBox(A,B,E,F))=hAPP(hAPP(D,E),F).
% 5.74/5.92 Following clause subsumed by 7323 during input processing: 0 [copy,9875,flip.1,demod,11427,12068] {-} hAPP(c_COMBK(tc_HOL_Obool,A),c_fFalse)=hAPP(c_COMBK(tc_HOL_Obool,A),c_fFalse).
% 5.74/5.92 Following clause subsumed by 7323 during input processing: 0 [copy,9880,flip.1,demod,11427,11587,12065] {-} hAPP(c_COMBK(tc_HOL_Obool,A),c_fFalse)=hAPP(c_COMBK(tc_HOL_Obool,A),c_fFalse).
% 5.74/5.92 Following clause subsumed by 11212 during input processing: 0 [copy,10122,flip.1] {-} hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_COMBK(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls)))),c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,A,hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_COMBK(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls)))),c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,B,C))))=hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_COMBK(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls)))),c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B),A),C)).
% 5.74/5.92 Following clause subsumed by 6250 during input processing: 0 [copy,10123,flip.1] {-} c_Sum__Type_Osum_Osum__rec(A,B,C,D,E,hAPP(c_Sum__Type_OInl(A,C),F))=hAPP(D,F).
% 5.74/5.92 Following clause subsumed by 6251 during input processing: 0 [copy,10124,flip.1] {-} c_Sum__Type_Osum_Osum__rec(A,B,C,D,E,hAPP(c_Sum__Type_OInr(C,A),F))=hAPP(E,F).
% 5.74/5.92 Following clause subsumed by 7323 during input processing: 0 [copy,10125,flip.1,demod,11436,11481,11754] {-} c_Map_Orestrict__map(A,B,C,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),hAPP(c_fequal,D)))=c_Map_Orestrict__map(A,B,C,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),hAPP(c_fequal,D))).
% 5.74/5.93 Following clause subsumed by 10126 during input processing: 0 [copy,10126,flip.1] {-} hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_COMBK(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls)))),c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,A,hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_COMBK(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls)))),c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,B,C))))=hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_COMBK(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls)))),c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,B,hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_COMBK(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls)))),c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,A,C)))).
% 5.74/5.93 Following clause subsumed by 6261 during input processing: 0 [copy,10127,flip.1] {-} hAPP(hAPP(c_Option_Omap(A,B),C),c_Option_Ooption_ONone(A))=c_Option_Ooption_ONone(B).
% 5.74/5.93 Following clause subsumed by 6262 during input processing: 0 [copy,10128,flip.1] {-} hAPP(hAPP(c_Option_Omap(A,B),C),hAPP(c_Option_Ooption_OSome(A),D))=hAPP(c_Option_Ooption_OSome(B),hAPP(C,D)).
% 5.74/5.93 Following clause subsumed by 11863 during input processing: 0 [copy,10132,flip.1,demod,11433,11423] {-} hAPP(c_Fun_Othe__inv__into(A,B,C,D),E)=c_Enum_Oenum__the(A,hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,C)),hAPP(hAPP(c_COMBC(A,B,tc_HOL_Obool),hAPP(hAPP(c_COMBB(B,tc_fun(B,tc_HOL_Obool),A),c_fequal),D)),E))).
% 5.74/5.93 Following clause subsumed by 11755 during input processing: 0 [copy,10133,flip.1,demod,11427,11427] {-} hAPP(c_Set_Oimage(A,B,C),hAPP(c_COMBK(tc_HOL_Obool,A),c_fFalse))=hAPP(c_COMBK(tc_HOL_Obool,B),c_fFalse).
% 5.74/5.93 Following clause subsumed by 11503 during input processing: 0 [copy,10134,flip.1,demod,11425,11425] {-} hAPP(c_Set_Oimage(A,B,C),hAPP(hAPP(c_COMBS(A,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),A),c_fdisj),hAPP(c_fequal,D))),E))=hAPP(hAPP(c_COMBS(B,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),B),c_fdisj),hAPP(c_fequal,hAPP(C,D)))),hAPP(c_Set_Oimage(A,B,C),E)).
% 5.74/5.93 Following clause subsumed by 6314 during input processing: 0 [copy,10165,flip.1] {-} c_Nat_Onat_Onat__case(A,B,C,hAPP(c_Nat_OSuc,D))=hAPP(C,D).
% 5.74/5.93 Following clause subsumed by 6428 during input processing: 0 [copy,10191,flip.1] {-} hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),A),B)),C)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),C)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),B),C)).
% 5.74/5.93 Following clause subsumed by 6445 during input processing: 0 [copy,10198,flip.1] {-} hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,A)),B)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B)).
% 5.74/5.93 Following clause subsumed by 6461 during input processing: 0 [copy,10199,flip.1] {-} hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),A),B)),C)=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),A),C)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),B),C)).
% 5.74/5.93 Following clause subsumed by 6468 during input processing: 0 [copy,10200,flip.1] {-} hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),B)),C)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),A),C)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),B),C)).
% 5.74/5.93 Following clause subsumed by 10244 during input processing: 0 [copy,10244,flip.1] {-} hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,B)),C)=hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,C)),B).
% 5.74/5.97 Following clause subsumed by 10245 during input processing: 0 [copy,10245,flip.1] {-} hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,B)),hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,C)),D))=hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,C)),hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,B)),D)).
% 5.74/5.97 Following clause subsumed by 10270 during input processing: 0 [copy,10252,flip.1] {-} c_Map_Orestrict__map(A,B,c_Map_Orestrict__map(A,B,C,D),E)=c_Map_Orestrict__map(A,B,C,hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,D)),E)).
% 5.74/5.97 Following clause subsumed by 7323 during input processing: 0 [copy,10260,flip.1,demod,11427,11436,12097] {-} hAPP(c_COMBK(tc_HOL_Obool,A),c_fFalse)=hAPP(c_COMBK(tc_HOL_Obool,A),c_fFalse).
% 5.74/5.97 Following clause subsumed by 7323 during input processing: 0 [copy,10266,flip.1,demod,11427,11587,12094] {-} hAPP(c_COMBK(tc_HOL_Obool,A),c_fFalse)=hAPP(c_COMBK(tc_HOL_Obool,A),c_fFalse).
% 5.74/5.97 Following clause subsumed by 10252 during input processing: 0 [copy,10270,flip.1] {-} c_Map_Orestrict__map(A,B,C,hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,D)),E))=c_Map_Orestrict__map(A,B,c_Map_Orestrict__map(A,B,C,D),E).
% 5.74/5.97 10424 back subsumes 10253.
% 5.74/5.97 10684 back subsumes 10227.
% 5.74/5.97 10742 back subsumes 10427.
% 5.74/5.97 10796 back subsumes 9563.
% 5.74/5.97 10796 back subsumes 9562.
% 5.74/5.97 10798 back subsumes 9565.
% 5.74/5.97 10875 back subsumes 9020.
% 5.74/5.97 Following clause subsumed by 7323 during input processing: 0 [copy,10939,flip.1,demod,11436,11425,11471,11719,11427,11436,11719] {-} hAPP(c_COMBK(tc_HOL_Obool,A),c_fTrue)=hAPP(c_COMBK(tc_HOL_Obool,A),c_fTrue).
% 5.74/5.97 Following clause subsumed by 6753 during input processing: 0 [copy,10952,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),c_Groups_Oone__class_Oone(tc_Int_Oint))),hAPP(hAPP(c_COMBS(tc_Int_Oint,A,A),hAPP(hAPP(c_COMBC(tc_Int_Oint,A,tc_fun(A,A)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(A,tc_fun(A,A)),tc_Int_Oint),c_If(A)),c_Nat__Numeral_Oneg)),hAPP(c_Nat_Onat_Onat__rec(A,B,C),E))),hAPP(hAPP(c_COMBS(tc_Int_Oint,A,A),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(A,A),tc_Int_Oint),C),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_Int_Onat)),E))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,A,tc_Int_Oint),c_Nat_Onat_Onat__rec(A,B,C)),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_Int_Onat)),E))))).
% 5.74/5.97 Following clause subsumed by 6755 during input processing: 0 [copy,10953,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),c_Groups_Oone__class_Oone(tc_Int_Oint))),hAPP(hAPP(c_COMBS(tc_Int_Oint,A,A),hAPP(hAPP(c_COMBC(tc_Int_Oint,A,tc_fun(A,A)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(A,tc_fun(A,A)),tc_Int_Oint),c_If(A)),c_Nat__Numeral_Oneg)),B)),hAPP(hAPP(c_COMBS(tc_Int_Oint,A,A),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(A,A),tc_Int_Oint),C),c_Int_Onat)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,A,tc_Int_Oint),c_Nat_Onat_Onat__rec(A,B,C)),c_Int_Onat)))).
% 5.74/5.97 Following clause subsumed by 6779 during input processing: 0 [copy,10961,flip.1] {-} hAPP(c_Nat_Onat_Onat__rec(A,B,C),hAPP(c_Nat_OSuc,D))=hAPP(hAPP(C,D),hAPP(c_Nat_Onat_Onat__rec(A,B,C),D)).
% 5.74/5.97 Following clause subsumed by 11748 during input processing: 0 [copy,10968,flip.1,demod,11427,11427] {-} hAPP(c_Set_Ovimage(A,B,C),hAPP(c_COMBK(tc_HOL_Obool,B),c_fFalse))=hAPP(c_COMBK(tc_HOL_Obool,A),c_fFalse).
% 5.74/5.97 Following clause subsumed by 11198 during input processing: 0 [copy,10975,flip.1] {-} hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_COMBK(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls)))),c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,A,B))),A)=hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_Nat_Onat),B),A).
% 5.74/5.97 Following clause subsumed by 11004 during input processing: 0 [copy,11003,flip.1] {-} hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),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),B),B)).
% 5.74/5.97 Following clause subsumed by 11003 during input processing: 0 [copy,11004,flip.1] {-} 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),A))!=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B),B).
% 5.74/5.97 Following clause subsumed by 11097 during input processing: 0 [copy,11032,flip.1] {-} hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_OMin),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),A)))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(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),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),A),c_Int_OMin)))).
% 5.74/5.97 11051 back subsumes 10451.
% 5.74/5.97 11051 back subsumes 10450.
% 5.74/5.97 11051 back subsumes 10449.
% 5.74/5.97 Following clause subsumed by 6871 during input processing: 0 [copy,11066,flip.1] {-} hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),A)),B)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B),B)).
% 5.74/5.97 Following clause subsumed by 6873 during input processing: 0 [copy,11067,flip.1] {-} hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),A)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B),B))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),A),B)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),A),B)).
% 5.74/5.97 Following clause subsumed by 6875 during input processing: 0 [copy,11068,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),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B),B))))=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),B),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),B)))).
% 5.74/5.97 Following clause subsumed by 6877 during input processing: 0 [copy,11069,flip.1] {-} 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),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B),B))))=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),B),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),B)))).
% 5.74/5.97 Following clause subsumed by 6885 during input processing: 0 [copy,11070,flip.1] {-} hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),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),A))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B),B))=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),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),A),B)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),A),B))).
% 5.74/5.98 Following clause subsumed by 6887 during input processing: 0 [copy,11071,flip.1] {-} hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),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),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),B),B)))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),A),B)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),A),B)).
% 5.74/5.98 Following clause subsumed by 11124 during input processing: 0 [copy,11072,flip.1] {-} hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),A),c_Int_OMin))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),A)).
% 5.74/5.98 Following clause subsumed by 6897 during input processing: 0 [copy,11073,flip.1] {-} hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),A))=hAPP(hAPP(c_HOL_OLet(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Int_Onat,A)),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_COMBI(tc_Nat_Onat))).
% 5.74/5.98 Following clause subsumed by 6906 during input processing: 0 [copy,11074,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),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B),B)))=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),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),A),c_Groups_Oone__class_Oone(tc_Int_Oint))),B)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),A),c_Groups_Oone__class_Oone(tc_Int_Oint))),B))).
% 5.74/5.98 Following clause subsumed by 11123 during input processing: 0 [copy,11075,flip.1] {-} 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),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),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),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B),c_Int_OMin))))).
% 5.74/5.98 Following clause subsumed by 6927 during input processing: 0 [copy,11076,flip.1] {-} hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls)))),A)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),A),A).
% 5.74/5.98 Following clause subsumed by 6981 during input processing: 0 [copy,11079,flip.1] {-} hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),A),hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint,B),A))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B),c_Divides_Odiv__class_Omod(tc_Int_Oint,B,A)).
% 5.74/5.98 Following clause subsumed by 11117 during input processing: 0 [copy,11080,flip.1] {-} c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B),B))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Int_OMin)),c_Divides_Odiv__class_Omod(tc_Int_Oint,A,B)).
% 5.74/5.98 Following clause subsumed by 7095 during input processing: 0 [copy,11087,flip.1] {-} hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat,A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),B),C))=hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat,hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat,A),B)),C).
% 5.74/5.99 Following clause subsumed by 11032 during input processing: 0 [copy,11097,flip.1] {-} hAPP(hAPP(c_Groups_Ominus__class_Ominus(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),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),A),c_Int_OMin))))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_OMin),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),A))).
% 5.74/5.99 Following clause subsumed by 7142 during input processing: 0 [copy,11113,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),c_Groups_Oone__class_Oone(tc_Int_Oint)).
% 5.74/5.99 Following clause subsumed by 11080 during input processing: 0 [copy,11117,flip.1] {-} hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Int_OMin)),c_Divides_Odiv__class_Omod(tc_Int_Oint,A,B))=c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B),B)).
% 5.74/5.99 Following clause subsumed by 11075 during input processing: 0 [copy,11123,flip.1] {-} hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B),c_Int_OMin)))))=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),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),B),B))))).
% 5.74/5.99 Following clause subsumed by 11072 during input processing: 0 [copy,11124,flip.1] {-} 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),A))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),A),c_Int_OMin)).
% 5.74/5.99 11132 back subsumes 9869.
% 5.74/5.99 Following clause subsumed by 7164 during input processing: 0 [copy,11144,flip.1] {-} hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OMin),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),A)))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OMin),A)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OMin),A)).
% 5.74/5.99 Following clause subsumed by 7171 during input processing: 0 [copy,11145,flip.1] {-} hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint,A),c_Int_OMin)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_OMin),A).
% 5.74/5.99 Following clause subsumed by 7181 during input processing: 0 [copy,11146,flip.1] {-} hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat,A),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,B))))=hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat,A),c_Int_Onat__aux(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Int_OMin)),B)).
% 5.74/5.99 Following clause subsumed by 7183 during input processing: 0 [copy,11147,flip.1] {-} hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,A)))),B)=hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat,c_Int_Onat__aux(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Int_OMin)),A)),B).
% 5.74/5.99 Following clause subsumed by 7191 during input processing: 0 [copy,11148,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,c_Int_Onat__aux(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Int_OMin)),B)).
% 5.74/5.99 Following clause subsumed by 7193 during input processing: 0 [copy,11149,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,c_Int_Onat__aux(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Int_OMin)),A),B).
% 5.74/5.99 Following clause subsumed by 7226 during input processing: 0 [copy,11151,flip.1] {-} hAPP(hAPP(c_Nitpick_Oint__gcd,A),B)=hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),c_Nitpick_Onat__gcd(hAPP(c_Int_Onat,hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),A)),hAPP(c_Int_Onat,hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),B)))).
% 5.74/5.99 Following clause subsumed by 7236 during input processing: 0 [copy,11152,flip.1] {-} c_Smallcheck_Ofull__small__class_Ofull__small(tc_Int_Oint,A,B)=c_Smallcheck_Ofull__small_H(A,hAPP(c_Code__Numeral_Oint__of,B),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_OMin),hAPP(c_Code__Numeral_Oint__of,B))).
% 5.74/5.99 Following clause subsumed by 7241 during input processing: 0 [copy,11153,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),c_Groups_Oone__class_Oone(tc_Int_Oint)),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),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Int_OMin)),B)),C))).
% 5.74/5.99 Following clause subsumed by 7248 during input processing: 0 [copy,11154,flip.1] {-} c_Divides_Oadjust(A)=hAPP(c_Product__Type_Oprod_Oprod__case(tc_Int_Oint,tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_fun(tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_Int_Oint),c_COMBS(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_fun(tc_Int_Oint,tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_Int_Oint),hAPP(c_COMBS(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_Int_Oint),c_If(tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_HOL_Obool,tc_Int_Oint),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls)),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),c_Groups_Ominus__class_Ominus(tc_Int_Oint)),A))))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_fun(tc_fun(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_Int_Oint),c_COMBB(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint),tc_Int_Oint)),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_Int_Oint),c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_Int_Oint),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint)),hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Int_OMin)))),c_Groups_Oone__class_Oone(tc_Int_Oint))))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),c_Groups_Ominus__class_Ominus(tc_Int_Oint)),A))))),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_Int_Oint),c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint)),hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Int_OMin))))).
% 5.74/5.99 Following clause subsumed by 7255 during input processing: 0 [copy,11156,flip.1] {-} 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).
% 5.74/5.99 Following clause subsumed by 7271 during input processing: 0 [copy,11157,flip.1] {-} c_Divides_OposDivAlg(c_Int_OPls,A)=hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Int_OPls),c_Int_OPls).
% 5.74/5.99 Following clause subsumed by 7283 during input processing: 0 [copy,11158,flip.1] {-} hAPP(c_Product__Type_Oapsnd(A,B,C,D),hAPP(hAPP(c_Product__Type_OPair(C,A),E),F))=hAPP(hAPP(c_Product__Type_OPair(C,B),E),hAPP(D,F)).
% 5.74/5.99 Following clause subsumed by 7296 during input processing: 0 [copy,11159,flip.1] {-} c_Divides_Opdivmod(A,B)=c_Divides_Odivmod__int(hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),A),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),B)).
% 5.74/5.99 Following clause subsumed by 7307 during input processing: 0 [copy,11160,flip.1] {-} hAPP(c_Product__Type_Osnd(A,B),hAPP(c_Product__Type_Oapsnd(C,B,A,D),E))=hAPP(D,hAPP(c_Product__Type_Osnd(A,C),E)).
% 5.74/5.99 Following clause subsumed by 7316 during input processing: 0 [copy,11161,flip.1] {-} hAPP(c_Product__Type_Ofst(A,B),hAPP(c_Product__Type_Oapsnd(C,B,A,D),E))=hAPP(c_Product__Type_Ofst(A,C),E).
% 5.74/5.99 Following clause subsumed by 7324 during input processing: 0 [copy,11162,flip.1] {-} 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)).
% 5.74/5.99 Following clause subsumed by 7325 during input processing: 0 [copy,11163,flip.1] {-} hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint,A),B)=hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_Odivmod__int(A,B)).
% 5.74/5.99 Following clause subsumed by 7339 during input processing: 0 [copy,11166,flip.1] {-} hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat,A),B)=hAPP(c_Product__Type_Ofst(tc_Nat_Onat,tc_Nat_Onat),c_Divides_Odivmod__nat(A,B)).
% 5.74/5.99 Following clause subsumed by 7344 during input processing: 0 [copy,11169,flip.1] {-} c_Product__Type_Oprod_Oprod__rec(A,B,C,D,hAPP(hAPP(c_Product__Type_OPair(A,B),E),F))=hAPP(hAPP(D,E),F).
% 5.74/5.99 Following clause subsumed by 7345 during input processing: 0 [copy,11170,flip.1] {-} hAPP(c_Product__Type_Oapfst(A,B,C,D),hAPP(c_Product__Type_Oapsnd(E,C,A,F),G))=hAPP(hAPP(c_Product__Type_OPair(B,C),hAPP(D,hAPP(c_Product__Type_Ofst(A,E),G))),hAPP(F,hAPP(c_Product__Type_Osnd(A,E),G))).
% 5.74/5.99 Following clause subsumed by 7346 during input processing: 0 [copy,11171,flip.1] {-} hAPP(c_Product__Type_Oapfst(A,B,C,D),hAPP(hAPP(c_Product__Type_OPair(A,C),E),F))=hAPP(hAPP(c_Product__Type_OPair(B,C),hAPP(D,E)),F).
% 5.74/5.99 Following clause subsumed by 7347 during input processing: 0 [copy,11172,flip.1] {-} hAPP(c_Product__Type_Ofst(A,B),hAPP(c_Product__Type_Oapfst(C,A,B,D),E))=hAPP(D,hAPP(c_Product__Type_Ofst(C,B),E)).
% 5.82/6.00 Following clause subsumed by 7348 during input processing: 0 [copy,11173,flip.1] {-} hAPP(c_Product__Type_Osnd(A,B),hAPP(c_Product__Type_Oapfst(C,A,B,D),E))=hAPP(c_Product__Type_Osnd(C,B),E).
% 5.82/6.00 Following clause subsumed by 7349 during input processing: 0 [copy,11174,flip.1] {-} hAPP(c_Product__Type_Oapsnd(A,B,C,D),hAPP(c_Product__Type_Oapfst(E,C,A,F),G))=hAPP(c_Product__Type_Oapfst(E,C,B,F),hAPP(c_Product__Type_Oapsnd(A,B,E,D),G)).
% 5.82/6.00 Following clause subsumed by 7353 during input processing: 0 [copy,11175,flip.1] {-} hAPP(c_Product__Type_Oapsnd(A,B,C,D),hAPP(c_Product__Type_Oapfst(E,C,A,F),G))=hAPP(hAPP(c_Product__Type_OPair(C,B),hAPP(F,hAPP(c_Product__Type_Ofst(E,A),G))),hAPP(D,hAPP(c_Product__Type_Osnd(E,A),G))).
% 5.82/6.00 Following clause subsumed by 11967 during input processing: 0 [copy,11176,flip.1] {-} c_Code__Numeral_Ocode__numeral_Ocode__numeral__case(A,B,C,hAPP(c_Code__Numeral_Oof__nat,hAPP(c_Nat_OSuc,hAPP(c_Code__Numeral_Onat__of,D))))=hAPP(C,D).
% 5.82/6.00 Following clause subsumed by 11745 during input processing: 0 [copy,11178,flip.1,demod,11427,11427] {-} hAPP(c_Relation_OImage(A,B,C),hAPP(c_COMBK(tc_HOL_Obool,A),c_fFalse))=hAPP(c_COMBK(tc_HOL_Obool,B),c_fFalse).
% 5.82/6.00 Following clause subsumed by 10975 during input processing: 0 [copy,11198,flip.1] {-} hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_Nat_Onat),A),B)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_COMBK(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls)))),c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,B,A))),B).
% 5.82/6.00 Following clause subsumed by 10122 during input processing: 0 [copy,11212,flip.1] {-} hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_COMBK(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls)))),c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),A),B),C))=hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_COMBK(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls)))),c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,B,hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_COMBK(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls)))),c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,A,C)))).
% 5.82/6.00 Following clause subsumed by 7483 during input processing: 0 [copy,11258,flip.1] {-} hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Nat_Onat,hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),A)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,B,C))=c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B),A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),C),A)).
% 5.82/6.00 11262 back subsumes 3469.
% 5.82/6.00 Following clause subsumed by 7323 during input processing: 0 [copy,11278,flip.1,demod,11427,12188] {-} hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),hAPP(c_COMBK(tc_HOL_Obool,tc_Int_Oint),c_fFalse))=hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),hAPP(c_COMBK(tc_HOL_Obool,tc_Int_Oint),c_fFalse)).
% 5.82/6.00 Following clause subsumed by 7605 during input processing: 0 [copy,11337,flip.1] {-} hAPP(c_Product__Type_Oapfst(A,B,C,D),hAPP(c_Product__Type_Oapfst(E,A,C,F),G))=hAPP(c_Product__Type_Oapfst(E,B,C,hAPP(c_Fun_Ocomp(A,B,E,D),F)),G).
% 5.82/6.00 Following clause subsumed by 7606 during input processing: 0 [copy,11338,flip.1] {-} hAPP(c_Fun_Ocomp(A,B,C,D),hAPP(hAPP(hAPP(c_Fun_Ofun__upd(C,A),E),F),G))=hAPP(hAPP(hAPP(c_Fun_Ofun__upd(C,B),hAPP(c_Fun_Ocomp(A,B,C,D),E)),F),hAPP(D,G)).
% 5.82/6.00 Following clause subsumed by 7611 during input processing: 0 [copy,11340,flip.1] {-} hAPP(c_Fun_Ocomp(tc_Option_Ooption(A),tc_Option_Ooption(B),tc_Option_Ooption(C),hAPP(c_Option_Omap(A,B),D)),hAPP(c_Option_Omap(C,A),E))=hAPP(c_Option_Omap(C,B),hAPP(c_Fun_Ocomp(A,B,C,D),E)).
% 5.82/6.00 Following clause subsumed by 7612 during input processing: 0 [copy,11341,flip.1] {-} hAPP(c_Fun_Ocomp(A,B,C,D),hAPP(c_Fun_Ocomp(E,A,C,F),G))=hAPP(c_Fun_Ocomp(E,B,C,hAPP(c_Fun_Ocomp(A,B,E,D),F)),G).
% 5.82/6.00 Following clause subsumed by 7616 during input processing: 0 [copy,11342,flip.1] {-} hAPP(hAPP(c_Option_Omap(A,B),C),hAPP(hAPP(c_Option_Omap(D,A),E),F))=hAPP(hAPP(c_Option_Omap(D,B),hAPP(c_Fun_Ocomp(A,B,D,C),E)),F).
% 5.82/6.00 Following clause subsumed by 7617 during input processing: 0 [copy,11343,flip.1] {-} hAPP(c_Product__Type_Oapsnd(A,B,C,D),hAPP(c_Product__Type_Oapsnd(E,A,C,F),G))=hAPP(c_Product__Type_Oapsnd(E,B,C,hAPP(c_Fun_Ocomp(A,B,E,D),F)),G).
% 5.82/6.00 Following clause subsumed by 7622 during input processing: 0 [copy,11344,flip.1] {-} hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(A,B,C),hAPP(c_Fun_Ocomp(D,tc_fun(B,C),A,E),F)),G)=hAPP(hAPP(E,hAPP(F,hAPP(c_Product__Type_Ofst(A,B),G))),hAPP(c_Product__Type_Osnd(A,B),G)).
% 5.82/6.00 Following clause subsumed by 7623 during input processing: 0 [copy,11345,flip.1] {-} hAPP(c_Fun_Ocomp(tc_Option_Ooption(A),tc_Option_Ooption(B),C,hAPP(c_Option_Omap(A,B),D)),hAPP(hAPP(hAPP(c_Fun_Ofun__upd(C,tc_Option_Ooption(A)),E),F),hAPP(c_Option_Ooption_OSome(A),G)))=hAPP(hAPP(hAPP(c_Fun_Ofun__upd(C,tc_Option_Ooption(B)),hAPP(c_Fun_Ocomp(tc_Option_Ooption(A),tc_Option_Ooption(B),C,hAPP(c_Option_Omap(A,B),D)),E)),F),hAPP(c_Option_Ooption_OSome(B),hAPP(D,G))).
% 5.82/6.00 Following clause subsumed by 7323 during input processing: 0 [copy,11346,flip.1,demod,11427,11739,11427] {-} hAPP(c_COMBK(tc_HOL_Obool,tc_fun(A,tc_HOL_Obool)),c_fFalse)=hAPP(c_COMBK(tc_HOL_Obool,tc_fun(A,tc_HOL_Obool)),c_fFalse).
% 5.82/6.00 Following clause subsumed by 7638 during input processing: 0 [copy,11348,flip.1] {-} hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,tc_fun(B,tc_HOL_Obool)),C),hAPP(c_Fun_Ocomp(D,tc_fun(B,tc_HOL_Obool),A,E),F))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(D,tc_fun(B,tc_HOL_Obool)),hAPP(c_Set_Oimage(A,D,F),C)),E).
% 5.82/6.00 Following clause subsumed by 7641 during input processing: 0 [copy,11349,flip.1] {-} hAPP(c_Relation_OImage(A,B,C),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(D,tc_fun(A,tc_HOL_Obool)),E),F))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(D,tc_fun(B,tc_HOL_Obool)),E),hAPP(hAPP(c_COMBB(tc_fun(A,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool),D),c_Relation_OImage(A,B,C)),F)).
% 5.82/6.00 Following clause subsumed by 11736 during input processing: 0 [copy,11350,flip.1,demod,11427] {-} hAPP(c_Relation_OImage(A,B,C),D)=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,tc_fun(B,tc_HOL_Obool)),D),hAPP(hAPP(c_COMBB(tc_fun(A,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool),A),c_Relation_OImage(A,B,C)),hAPP(hAPP(c_COMBC(A,tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),c_Set_Oinsert(A)),hAPP(c_COMBK(tc_HOL_Obool,A),c_fFalse)))).
% 5.82/6.00 Following clause subsumed by 11735 during input processing: 0 [copy,11351,flip.1,demod,11427] {-} hAPP(c_Set_Ovimage(A,B,C),D)=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(B,tc_fun(A,tc_HOL_Obool)),D),hAPP(hAPP(c_COMBB(tc_fun(B,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool),B),c_Set_Ovimage(A,B,C)),hAPP(hAPP(c_COMBC(B,tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool)),c_Set_Oinsert(B)),hAPP(c_COMBK(tc_HOL_Obool,B),c_fFalse)))).
% 5.82/6.00 Following clause subsumed by 7660 during input processing: 0 [copy,11352,flip.1] {-} hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(A,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(c_Int_Onat,c_Int_OPls),B)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(A,tc_HOL_Obool),tc_Nat_Onat),C),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),D)))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(A,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,D,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B),D))),C).
% 5.82/6.01 Following clause subsumed by 7677 during input processing: 0 [copy,11353,flip.1] {-} hAPP(c_Set_Oimage(A,B,C),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(D,tc_fun(A,tc_HOL_Obool)),E),F))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(D,tc_fun(B,tc_HOL_Obool)),E),hAPP(hAPP(c_COMBB(tc_fun(A,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool),D),c_Set_Oimage(A,B,C)),F)).
% 5.82/6.01 Following clause subsumed by 11358 during input processing: 0 [copy,11356,flip.1] {-} hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,tc_fun(B,tc_HOL_Obool)),C),hAPP(hAPP(c_COMBB(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool),A),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(B,tc_HOL_Obool)),D)),E))=hAPP(c_Relation_OImage(B,B,c_Relation_OId__on(B,D)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,tc_fun(B,tc_HOL_Obool)),C),E)).
% 5.82/6.01 Following clause subsumed by 11359 during input processing: 0 [copy,11357,flip.1] {-} hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,tc_fun(B,tc_HOL_Obool)),C),hAPP(hAPP(c_COMBC(A,tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(B,tc_HOL_Obool),tc_fun(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool)),A),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(B,tc_HOL_Obool))),D)),E))=hAPP(c_Relation_OImage(B,B,c_Relation_OId__on(B,hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,tc_fun(B,tc_HOL_Obool)),C),D))),E).
% 5.82/6.01 Following clause subsumed by 11356 during input processing: 0 [copy,11358,flip.1] {-} hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,B)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,tc_fun(A,tc_HOL_Obool)),D),E))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,tc_fun(A,tc_HOL_Obool)),D),hAPP(hAPP(c_COMBB(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool),C),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(A,tc_HOL_Obool)),B)),E)).
% 5.82/6.01 Following clause subsumed by 11357 during input processing: 0 [copy,11359,flip.1] {-} hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(B,tc_fun(A,tc_HOL_Obool)),C),D))),E)=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(B,tc_fun(A,tc_HOL_Obool)),C),hAPP(hAPP(c_COMBC(B,tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(A,tc_HOL_Obool),tc_fun(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),B),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(A,tc_HOL_Obool))),D)),E)).
% 5.82/6.01 Following clause subsumed by 7693 during input processing: 0 [copy,11361,flip.1] {-} hAPP(c_Set_Ovimage(A,B,C),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(D,tc_fun(B,tc_HOL_Obool)),E),F))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(D,tc_fun(A,tc_HOL_Obool)),E),hAPP(hAPP(c_COMBB(tc_fun(B,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool),D),c_Set_Ovimage(A,B,C)),F)).
% 5.82/6.01 Following clause subsumed by 11491 during input processing: 0 [copy,11362,flip.1,demod,11425,11425] {-} hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,tc_fun(B,tc_HOL_Obool)),hAPP(hAPP(c_COMBS(A,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),A),c_fdisj),hAPP(c_fequal,C))),D)),E)=hAPP(hAPP(c_COMBS(B,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),B),c_fdisj),hAPP(E,C))),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,tc_fun(B,tc_HOL_Obool)),D),E)).
% 5.82/6.01 Following clause subsumed by 11725 during input processing: 0 [copy,11363,flip.1,demod,11427] {-} hAPP(c_Set_Oimage(A,B,C),D)=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,tc_fun(B,tc_HOL_Obool)),D),hAPP(hAPP(c_COMBC(A,tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(B,tc_fun(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool)),A),c_Set_Oinsert(B)),C)),hAPP(c_COMBK(tc_HOL_Obool,B),c_fFalse))).
% 5.82/6.01 Following clause subsumed by 7738 during input processing: 0 [copy,11383,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),c_Groups_Oone__class_Oone(tc_Int_Oint))).
% 5.82/6.01 11386 back subsumes 11385.
% 5.82/6.01 Following clause subsumed by 11722 during input processing: 0 [copy,11387,flip.1,demod,11427,11427] {-} hAPP(hAPP(c_Product__Type_OSigma(A,B),hAPP(c_COMBK(tc_HOL_Obool,A),c_fFalse)),C)=hAPP(c_COMBK(tc_HOL_Obool,tc_prod(A,B)),c_fFalse).
% 5.82/6.01 Following clause subsumed by 7752 during input processing: 0 [copy,11388,flip.1] {-} hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_prod(A,B),tc_Nat_Onat),hAPP(c_COMBK(tc_Nat_Onat,tc_prod(A,B)),hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls)))),hAPP(hAPP(c_Product__Type_OSigma(A,B),C),hAPP(c_COMBK(tc_fun(B,tc_HOL_Obool),A),D)))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(A,tc_Nat_Onat),hAPP(c_COMBK(tc_Nat_Onat,A),hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls)))),C)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(B,tc_Nat_Onat),hAPP(c_COMBK(tc_Nat_Onat,B),hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls)))),D)).
% 5.82/6.01 Following clause subsumed by 11721 during input processing: 0 [copy,11389,flip.1,demod,11427,11427] {-} hAPP(hAPP(c_Product__Type_OSigma(A,B),C),hAPP(c_COMBK(tc_fun(B,tc_HOL_Obool),A),hAPP(c_COMBK(tc_HOL_Obool,B),c_fFalse)))=hAPP(c_COMBK(tc_HOL_Obool,tc_prod(A,B)),c_fFalse).
% 5.82/6.01 Following clause subsumed by 7763 during input processing: 0 [copy,11393,flip.1] {-} hAPP(c_Set_Oimage(tc_prod(A,B),tc_prod(B,A),hAPP(c_Product__Type_Oprod_Oprod__case(A,B,tc_prod(B,A)),hAPP(c_COMBC(B,A,tc_prod(B,A)),c_Product__Type_OPair(B,A)))),hAPP(hAPP(c_Product__Type_OSigma(A,B),C),hAPP(c_COMBK(tc_fun(B,tc_HOL_Obool),A),D)))=hAPP(hAPP(c_Product__Type_OSigma(B,A),D),hAPP(c_COMBK(tc_fun(A,tc_HOL_Obool),B),C)).
% 5.82/6.01 Following clause subsumed by 7768 during input processing: 0 [copy,11394,flip.1] {-} hAPP(hAPP(c_Product__Type_OSigma(A,B),hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,C)),D)),E)=hAPP(c_Relation_OImage(tc_prod(A,B),tc_prod(A,B),c_Relation_OId__on(tc_prod(A,B),hAPP(hAPP(c_Product__Type_OSigma(A,B),C),E))),hAPP(hAPP(c_Product__Type_OSigma(A,B),D),E)).
% 5.82/6.01 Following clause subsumed by 7770 during input processing: 0 [copy,11395,flip.1] {-} hAPP(hAPP(c_Product__Type_OSigma(A,B),C),hAPP(hAPP(c_COMBS(A,tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(B,tc_HOL_Obool),tc_fun(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool)),A),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(B,tc_HOL_Obool))),D)),E))=hAPP(c_Relation_OImage(tc_prod(A,B),tc_prod(A,B),c_Relation_OId__on(tc_prod(A,B),hAPP(hAPP(c_Product__Type_OSigma(A,B),C),D))),hAPP(hAPP(c_Product__Type_OSigma(A,B),C),E)).
% 5.82/6.01 Following clause subsumed by 7788 during input processing: 0 [copy,11411,flip.1] {-} hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_prod(A,B),tc_fun(tc_prod(C,D),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(A,B),E),hAPP(c_COMBK(tc_fun(B,tc_HOL_Obool),A),F))),hAPP(c_Product__Type_Oprod_Oprod__case(A,B,tc_fun(tc_prod(C,D),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(A,tc_fun(B,tc_fun(C,tc_fun(D,tc_HOL_Obool))),tc_fun(B,tc_fun(tc_prod(C,D),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(C,tc_fun(D,tc_HOL_Obool)),tc_fun(tc_prod(C,D),tc_HOL_Obool)),tc_fun(tc_fun(B,tc_fun(C,tc_fun(D,tc_HOL_Obool))),tc_fun(B,tc_fun(tc_prod(C,D),tc_HOL_Obool))),A),c_COMBB(tc_fun(C,tc_fun(D,tc_HOL_Obool)),tc_fun(tc_prod(C,D),tc_HOL_Obool),B)),hAPP(hAPP(c_COMBB(tc_fun(C,tc_HOL_Obool),tc_fun(tc_fun(C,tc_fun(D,tc_HOL_Obool)),tc_fun(tc_prod(C,D),tc_HOL_Obool)),A),c_Product__Type_OSigma(C,D)),G))),hAPP(hAPP(c_COMBB(tc_fun(D,tc_HOL_Obool),tc_fun(C,tc_fun(D,tc_HOL_Obool)),B),c_COMBK(tc_fun(D,tc_HOL_Obool),C)),H))))=hAPP(hAPP(c_Product__Type_OSigma(C,D),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,tc_fun(C,tc_HOL_Obool)),E),G)),hAPP(c_COMBK(tc_fun(D,tc_HOL_Obool),C),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(B,tc_fun(D,tc_HOL_Obool)),F),H))).
% 5.82/6.01 Following clause subsumed by 7794 during input processing: 0 [copy,11412,flip.1] {-} hAPP(c_Fun_Ocomp(tc_prod(A,B),A,tc_prod(C,D),c_Product__Type_Ofst(A,B)),c_Product__Type_Omap__pair(C,A,D,B,E,F))=hAPP(c_Fun_Ocomp(C,A,tc_prod(C,D),E),c_Product__Type_Ofst(C,D)).
% 5.82/6.01 Following clause subsumed by 7797 during input processing: 0 [copy,11413,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).
% 6.18/6.41 Following clause subsumed by 7798 during input processing: 0 [copy,11414,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)).
% 6.18/6.41 Following clause subsumed by 7799 during input processing: 0 [copy,11415,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)).
% 6.18/6.41 Following clause subsumed by 7802 during input processing: 0 [copy,11416,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)).
% 6.18/6.41 Following clause subsumed by 7803 during input processing: 0 [copy,11417,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)).
% 6.18/6.41 Following clause subsumed by 11434 during input processing: 0 [copy,11421,flip.1] {-} hAPP(c_Set_Ovimage(A,B,C),D)=hAPP(hAPP(c_COMBB(B,tc_HOL_Obool,A),D),C).
% 6.18/6.41 Following clause subsumed by 11421 during input processing: 0 [copy,11434,flip.1] {-} hAPP(hAPP(c_COMBB(A,tc_HOL_Obool,B),C),D)=hAPP(c_Set_Ovimage(B,A,D),C).
% 6.18/6.41 Following clause subsumed by 12540 during input processing: 0 [copy,11463,flip.1,demod,11719,11719] {-} hAPP(c_COMBK(tc_HOL_Obool,A),c_fTrue)=hAPP(c_Set_Ovimage(A,B,C),hAPP(c_COMBK(tc_HOL_Obool,B),c_fTrue)).
% 6.18/6.41 Following clause subsumed by 7323 during input processing: 0 [copy,11466,flip.1,demod,11719,12128] {-} hAPP(c_COMBK(tc_HOL_Obool,A),c_fTrue)=hAPP(c_COMBK(tc_HOL_Obool,A),c_fTrue).
% 6.18/6.41 Following clause subsumed by 12245 during input processing: 0 [copy,11491,flip.1] {-} hAPP(hAPP(c_COMBS(A,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),A),c_fdisj),hAPP(B,C))),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(D,tc_fun(A,tc_HOL_Obool)),E),B))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(D,tc_fun(A,tc_HOL_Obool)),hAPP(hAPP(c_COMBS(D,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),D),c_fdisj),hAPP(c_fequal,C))),E)),B).
% 6.18/6.41 Following clause subsumed by 12273 during input processing: 0 [copy,11503,flip.1] {-} hAPP(hAPP(c_COMBS(A,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),A),c_fdisj),hAPP(c_fequal,hAPP(B,C)))),hAPP(c_Set_Oimage(D,A,B),E))=hAPP(c_Set_Oimage(D,A,B),hAPP(hAPP(c_COMBS(D,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),D),c_fdisj),hAPP(c_fequal,C))),E)).
% 6.18/6.41 Following clause subsumed by 7883 during input processing: 0 [copy,11593,flip.1] {-} hAPP(c_Relation_OImage(A,B,C),hAPP(c_fequal,D))=hAPP(c_Set_Ovimage(B,tc_prod(A,B),hAPP(c_Product__Type_OPair(A,B),D)),C).
% 6.18/6.41 Following clause subsumed by 11605 during input processing: 0 [copy,11598,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).
% 6.18/6.41 Following clause subsumed by 11598 during input processing: 0 [copy,11605,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).
% 6.18/6.41 Following clause subsumed by 7907 during input processing: 0 [copy,11607,flip.1] {-} hAPP(hAPP(c_Relation_Oinv__image(A,B),C),D)=hAPP(c_Product__Type_Oprod_Oprod__case(B,B,tc_HOL_Obool),hAPP(hAPP(c_COMBC(B,tc_fun(tc_prod(A,A),tc_HOL_Obool),tc_fun(B,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(B,tc_fun(tc_fun(tc_prod(A,A),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(A,A),tc_HOL_Obool),tc_fun(B,tc_HOL_Obool)),B),c_COMBC(B,tc_fun(tc_prod(A,A),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(B,tc_prod(A,A)),tc_fun(B,tc_fun(tc_fun(tc_prod(A,A),tc_HOL_Obool),tc_HOL_Obool)),B),hAPP(c_COMBB(tc_prod(A,A),tc_fun(tc_fun(tc_prod(A,A),tc_HOL_Obool),tc_HOL_Obool),B),c_member(tc_prod(A,A)))),hAPP(hAPP(c_COMBC(B,tc_fun(B,A),tc_fun(B,tc_prod(A,A))),hAPP(hAPP(c_COMBB(tc_fun(A,tc_prod(A,A)),tc_fun(tc_fun(B,A),tc_fun(B,tc_prod(A,A))),B),c_COMBB(A,tc_prod(A,A),B)),hAPP(hAPP(c_COMBB(A,tc_fun(A,tc_prod(A,A)),B),c_Product__Type_OPair(A,A)),D))),D)))),C)).
% 6.18/6.41 Following clause subsumed by 12230 during input processing: 0 [copy,11608,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))).
% 6.18/6.41 Following clause subsumed by 7917 during input processing: 0 [copy,11612,flip.1] {-} c_Int_Oint__ge__less__than(A)=hAPP(c_Product__Type_Oprod_Oprod__case(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))).
% 6.18/6.41 Following clause subsumed by 7919 during input processing: 0 [copy,11613,flip.1] {-} c_Int_Oint__ge__less__than2(A)=hAPP(c_Product__Type_Oprod_Oprod__case(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))).
% 6.18/6.41 Following clause subsumed by 7928 during input processing: 0 [copy,11614,flip.1] {-} c_Product__Type_Oapfst(A,A,B,c_Fun_Oid(A))=c_Product__Type_Omap__pair(A,A,B,B,c_COMBI(A),c_COMBI(B)).
% 6.18/6.41 Following clause subsumed by 7935 during input processing: 0 [copy,11615,flip.1] {-} c_Product__Type_Oapsnd(A,A,B,c_Fun_Oid(A))=c_Product__Type_Omap__pair(B,B,A,A,c_COMBI(B),c_COMBI(A)).
% 6.18/6.41 Following clause subsumed by 7949 during input processing: 0 [copy,11618,flip.1] {-} c_Product__Type_Oapfst(A,B,C,D)=c_Product__Type_Omap__pair(A,B,C,C,D,c_Fun_Oid(C)).
% 6.18/6.41 Following clause subsumed by 7950 during input processing: 0 [copy,11619,flip.1] {-} c_Product__Type_Oapsnd(A,B,C,D)=c_Product__Type_Omap__pair(C,C,A,B,c_Fun_Oid(C),D).
% 6.18/6.41 Following clause subsumed by 7952 during input processing: 0 [copy,11620,flip.1] {-} hAPP(c_Product__Type_Oprod_Oprod__case(A,B,tc_prod(A,B)),c_Product__Type_OPair(A,B))=c_Product__Type_Omap__pair(A,A,B,B,c_COMBI(A),c_COMBI(B)).
% 6.18/6.41 Following clause subsumed by 7959 during input processing: 0 [copy,11621,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)).
% 6.18/6.41 Following clause subsumed by 7960 during input processing: 0 [copy,11622,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)).
% 6.18/6.41 Following clause subsumed by 11714 during input processing: 0 [copy,11625,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).
% 6.18/6.41 Following clause subsumed by 11713 during input processing: 0 [copy,11626,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).
% 6.18/6.41 Following clause subsumed by 7969 during input processing: 0 [copy,11627,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)).
% 6.18/6.41 Following clause subsumed by 12421 during input processing: 0 [copy,11632,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)).
% 6.18/6.41 Following clause subsumed by 11707 during input processing: 0 [copy,11637,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)).
% 6.18/6.41 Following clause subsumed by 8042 during input processing: 0 [copy,11638,flip.1] {-} c_Map_Omap__add(A,B,C,hAPP(c_Map_Omap__of(A,B),D))=c_List_Ofoldr(tc_prod(A,B),tc_fun(A,tc_Option_Ooption(B)),hAPP(c_Product__Type_Oprod_Oprod__case(A,B,tc_fun(tc_fun(A,tc_Option_Ooption(B)),tc_fun(A,tc_Option_Ooption(B)))),hAPP(hAPP(c_COMBC(A,tc_fun(B,tc_Option_Ooption(B)),tc_fun(B,tc_fun(tc_fun(A,tc_Option_Ooption(B)),tc_fun(A,tc_Option_Ooption(B))))),hAPP(hAPP(c_COMBB(tc_fun(tc_Option_Ooption(B),tc_fun(tc_fun(A,tc_Option_Ooption(B)),tc_fun(A,tc_Option_Ooption(B)))),tc_fun(tc_fun(B,tc_Option_Ooption(B)),tc_fun(B,tc_fun(tc_fun(A,tc_Option_Ooption(B)),tc_fun(A,tc_Option_Ooption(B))))),A),c_COMBB(tc_Option_Ooption(B),tc_fun(tc_fun(A,tc_Option_Ooption(B)),tc_fun(A,tc_Option_Ooption(B))),B)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(A,tc_Option_Ooption(B)),tc_fun(tc_Option_Ooption(B),tc_fun(A,tc_Option_Ooption(B)))),tc_fun(tc_Option_Ooption(B),tc_fun(tc_fun(A,tc_Option_Ooption(B)),tc_fun(A,tc_Option_Ooption(B)))),A),c_COMBC(tc_fun(A,tc_Option_Ooption(B)),tc_Option_Ooption(B),tc_fun(A,tc_Option_Ooption(B)))),hAPP(c_COMBC(tc_fun(A,tc_Option_Ooption(B)),A,tc_fun(tc_Option_Ooption(B),tc_fun(A,tc_Option_Ooption(B)))),c_Fun_Ofun__upd(A,tc_Option_Ooption(B)))))),c_Option_Ooption_OSome(B))),D,C).
% 6.18/6.41 Following clause subsumed by 8043 during input processing: 0 [copy,11639,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).
% 6.18/6.41 Following clause subsumed by 8044 during input processing: 0 [copy,11640,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)).
% 6.18/6.41 Following clause subsumed by 8045 during input processing: 0 [copy,11641,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).
% 6.18/6.41 Following clause subsumed by 8054 during input processing: 0 [copy,11642,flip.1] {-} hAPP(c_Map_Omap__of(A,B),hAPP(hAPP(c_List_Omap(tc_prod(A,C),tc_prod(A,B)),hAPP(c_Product__Type_Oprod_Oprod__case(A,C,tc_prod(A,B)),hAPP(hAPP(c_COMBC(A,tc_fun(C,B),tc_fun(C,tc_prod(A,B))),hAPP(hAPP(c_COMBB(tc_fun(B,tc_prod(A,B)),tc_fun(tc_fun(C,B),tc_fun(C,tc_prod(A,B))),A),c_COMBB(B,tc_prod(A,B),C)),c_Product__Type_OPair(A,B))),D))),E))=hAPP(c_Fun_Ocomp(tc_Option_Ooption(C),tc_Option_Ooption(B),A,hAPP(c_Option_Omap(C,B),D)),hAPP(c_Map_Omap__of(A,C),E)).
% 6.18/6.41 Following clause subsumed by 8055 during input processing: 0 [copy,11643,flip.1] {-} hAPP(c_Map_Omap__of(A,B),hAPP(hAPP(c_List_Omap(A,tc_prod(A,B)),hAPP(hAPP(c_COMBS(A,B,tc_prod(A,B)),c_Product__Type_OPair(A,B)),C)),D))=c_Map_Orestrict__map(A,B,hAPP(c_Fun_Ocomp(B,tc_Option_Ooption(B),A,c_Option_Ooption_OSome(B)),C),hAPP(c_List_Oset(A),D)).
% 6.18/6.41 Following clause subsumed by 8060 during input processing: 0 [copy,11644,flip.1] {-} hAPP(c_List_Oset(A),hAPP(hAPP(c_List_Omap(B,A),C),D))=hAPP(c_Set_Oimage(B,A,C),hAPP(c_List_Oset(B),D)).
% 6.18/6.41 Following clause subsumed by 8081 during input processing: 0 [copy,11648,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).
% 6.18/6.41 Following clause subsumed by 8084 during input processing: 0 [copy,11649,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_Oprod_Oprod__case(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)).
% 6.18/6.41 Following clause subsumed by 8085 during input processing: 0 [copy,11650,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_Oprod_Oprod__case(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)).
% 6.18/6.41 Following clause subsumed by 8086 during input processing: 0 [copy,11651,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_Oprod_Oprod__case(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)).
% 6.18/6.41 Following clause subsumed by 8087 during input processing: 0 [copy,11652,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_Oprod_Oprod__case(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)).
% 6.18/6.41 Following clause subsumed by 8089 during input processing: 0 [copy,11653,flip.1] {-} hAPP(hAPP(c_List_Ozip(A,B),hAPP(hAPP(c_List_Omap(C,A),D),E)),hAPP(hAPP(c_List_Omap(F,B),G),H))=hAPP(hAPP(c_List_Omap(tc_prod(C,F),tc_prod(A,B)),c_Product__Type_Omap__pair(C,A,F,B,D,G)),hAPP(hAPP(c_List_Ozip(C,F),E),H)).
% 6.18/6.41 Following clause subsumed by 8092 during input processing: 0 [copy,11655,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).
% 6.18/6.41 Following clause subsumed by 8109 during input processing: 0 [copy,11656,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)).
% 6.18/6.41 Following clause subsumed by 12420 during input processing: 0 [copy,11657,flip.1] {-} hAPP(c_List_Oset(A),hAPP(hAPP(c_List_Olist_OCons(A),B),C))=hAPP(hAPP(c_COMBS(A,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),A),c_fdisj),hAPP(c_fequal,B))),hAPP(c_List_Oset(A),C)).
% 6.18/6.41 Following clause subsumed by 8113 during input processing: 0 [copy,11658,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)).
% 6.18/6.41 Following clause subsumed by 8114 during input processing: 0 [copy,11659,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)).
% 6.18/6.41 Following clause subsumed by 8120 during input processing: 0 [copy,11662,flip.1] {-} hAPP(c_Map_Omap__of(A,B),hAPP(hAPP(c_List_Olist_OCons(tc_prod(A,B)),C),D))=hAPP(hAPP(hAPP(c_Fun_Ofun__upd(A,tc_Option_Ooption(B)),hAPP(c_Map_Omap__of(A,B),D)),hAPP(c_Product__Type_Ofst(A,B),C)),hAPP(c_Option_Ooption_OSome(B),hAPP(c_Product__Type_Osnd(A,B),C))).
% 6.18/6.41 Following clause subsumed by 12116 during input processing: 0 [copy,11664,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))).
% 6.18/6.41 Following clause subsumed by 8136 during input processing: 0 [copy,11665,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).
% 6.18/6.41 Following clause subsumed by 8164 during input processing: 0 [copy,11668,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))).
% 6.18/6.41 Following clause subsumed by 11677 during input processing: 0 [copy,11669,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))).
% 6.18/6.41 Following clause subsumed by 8166 during input processing: 0 [copy,11670,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)).
% 6.18/6.41 Following clause subsumed by 8172 during input processing: 0 [copy,11673,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).
% 6.18/6.41 Following clause subsumed by 8173 during input processing: 0 [copy,11674,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).
% 6.18/6.41 Following clause subsumed by 11669 during input processing: 0 [copy,11677,flip.1] {-} hAPP(hAPP(c_List_Ozip(A,B),c_List_Osublist(A,C,hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(c_Int_Onat,c_Int_OPls)),D))),c_List_Osublist(B,E,hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(c_Int_Onat,c_Int_OPls)),D)))=c_List_Osublist(tc_prod(A,B),hAPP(hAPP(c_List_Ozip(A,B),C),E),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(c_Int_Onat,c_Int_OPls)),D)).
% 6.18/6.41 Following clause subsumed by 8190 during input processing: 0 [copy,11700,flip.1] {-} c_Map_Omap__upds(A,B,C,hAPP(hAPP(c_List_Olist_OCons(A),D),E),hAPP(hAPP(c_List_Olist_OCons(B),F),G))=c_Map_Omap__upds(A,B,hAPP(hAPP(hAPP(c_Fun_Ofun__upd(A,tc_Option_Ooption(B)),C),D),hAPP(c_Option_Ooption_OSome(B),F)),E,G).
% 6.18/6.41 Following clause subsumed by 8231 during input processing: 0 [copy,11701,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)).
% 6.18/6.41 Following clause subsumed by 8232 during input processing: 0 [copy,11702,flip.1] {-} hAPP(hAPP(c_List_Ozip(A,B),c_List_Olist_ONil(A)),C)=c_List_Olist_ONil(tc_prod(A,B)).
% 6.18/6.41 Following clause subsumed by 8233 during input processing: 0 [copy,11703,flip.1] {-} hAPP(hAPP(c_List_Ozip(A,B),C),c_List_Olist_ONil(B))=c_List_Olist_ONil(tc_prod(A,B)).
% 6.18/6.41 Following clause subsumed by 8236 during input processing: 0 [copy,11704,flip.1] {-} hAPP(hAPP(c_Map_Omap__of(A,B),c_List_Olist_ONil(tc_prod(A,B))),C)=c_Option_Ooption_ONone(B).
% 6.18/6.42 Following clause subsumed by 8252 during input processing: 0 [copy,11706,flip.1] {-} hAPP(hAPP(c_List_Omap(A,B),C),c_List_Olist_ONil(A))=c_List_Olist_ONil(B).
% 6.18/6.42 Following clause subsumed by 11637 during input processing: 0 [copy,11707,flip.1] {-} c_Relation_OId__on(tc_List_Olist(A),hAPP(c_COMBK(tc_HOL_Obool,tc_List_Olist(A)),c_fFalse))=hAPP(c_List_Olexn(A,B),hAPP(c_Int_Onat,c_Int_OPls)).
% 6.18/6.42 Following clause subsumed by 11626 during input processing: 0 [copy,11713,flip.1] {-} hAPP(c_COMBK(tc_HOL_Obool,tc_prod(A,B)),c_fFalse)=hAPP(hAPP(c_Relation_Orel__comp(A,C,B),D),hAPP(c_COMBK(tc_HOL_Obool,tc_prod(C,B)),c_fFalse)).
% 6.18/6.42 Following clause subsumed by 11625 during input processing: 0 [copy,11714,flip.1] {-} hAPP(c_COMBK(tc_HOL_Obool,tc_prod(A,B)),c_fFalse)=hAPP(hAPP(c_Relation_Orel__comp(A,C,B),hAPP(c_COMBK(tc_HOL_Obool,tc_prod(A,C)),c_fFalse)),D).
% 6.18/6.42 Following clause subsumed by 12516 during input processing: 0 [copy,11721,flip.1,demod,12215] {-} 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)).
% 6.18/6.42 Following clause subsumed by 12517 during input processing: 0 [copy,11722,flip.1] {-} hAPP(c_COMBK(tc_HOL_Obool,tc_prod(A,B)),c_fFalse)=hAPP(hAPP(c_Product__Type_OSigma(A,B),hAPP(c_COMBK(tc_HOL_Obool,A),c_fFalse)),C).
% 6.18/6.42 Following clause subsumed by 12525 during input processing: 0 [copy,11725,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(B,tc_fun(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool)),A),c_Set_Oinsert(B)),D)),hAPP(c_COMBK(tc_HOL_Obool,B),c_fFalse)))=hAPP(c_Set_Oimage(A,B,D),C).
% 6.18/6.42 Following clause subsumed by 12526 during input processing: 0 [copy,11735,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(A,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool),A),c_Set_Ovimage(B,A,D)),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_Set_Ovimage(B,A,D),C).
% 6.18/6.42 Following clause subsumed by 12527 during input processing: 0 [copy,11736,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(A,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool),A),c_Relation_OImage(A,B,D)),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_Relation_OImage(A,B,D),C).
% 6.18/6.42 Following clause subsumed by 12538 during input processing: 0 [copy,11745,flip.1] {-} hAPP(c_COMBK(tc_HOL_Obool,A),c_fFalse)=hAPP(c_Relation_OImage(B,A,C),hAPP(c_COMBK(tc_HOL_Obool,B),c_fFalse)).
% 6.18/6.42 Following clause subsumed by 12541 during input processing: 0 [copy,11748,flip.1] {-} hAPP(c_COMBK(tc_HOL_Obool,A),c_fFalse)=hAPP(c_Set_Ovimage(A,B,C),hAPP(c_COMBK(tc_HOL_Obool,B),c_fFalse)).
% 6.18/6.42 Following clause subsumed by 12610 during input processing: 0 [copy,11755,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)).
% 6.18/6.42 Following clause subsumed by 12835 during input processing: 0 [copy,11762,flip.1] {-} c_List_Osublist(A,B,hAPP(c_COMBK(tc_HOL_Obool,tc_Nat_Onat),c_fFalse))=c_List_Olist_ONil(A).
% 6.18/6.42 Following clause subsumed by 11891 during input processing: 0 [copy,11763,flip.1] {-} c_List_Osublist(A,hAPP(hAPP(c_List_Olist_OCons(A),B),C),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(c_Int_Onat,c_Int_OPls),hAPP(c_Int_Onat,c_Int_OPls)))=c_List_Oinsert(A,B,c_List_Olist_ONil(A)).
% 6.18/6.42 Following clause subsumed by 8271 during input processing: 0 [copy,11764,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).
% 6.18/6.42 Following clause subsumed by 8294 during input processing: 0 [copy,11771,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).
% 6.18/6.42 Following clause subsumed by 8295 during input processing: 0 [copy,11772,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).
% 6.18/6.42 Following clause subsumed by 8315 during input processing: 0 [copy,11776,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)).
% 6.18/6.42 Following clause subsumed by 8331 during input processing: 0 [copy,11781,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)).
% 6.18/6.42 Following clause subsumed by 8364 during input processing: 0 [copy,11782,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)).
% 6.18/6.42 Following clause subsumed by 8377 during input processing: 0 [copy,11783,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)).
% 6.18/6.42 Following clause subsumed by 8386 during input processing: 0 [copy,11784,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).
% 6.18/6.42 Following clause subsumed by 11885 during input processing: 0 [copy,11785,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))).
% 6.18/6.42 Following clause subsumed by 8393 during input processing: 0 [copy,11786,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))).
% 6.18/6.42 Following clause subsumed by 8415 during input processing: 0 [copy,11787,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)).
% 6.18/6.42 Following clause subsumed by 8416 during input processing: 0 [copy,11788,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)).
% 6.18/6.42 Following clause subsumed by 8422 during input processing: 0 [copy,11789,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)).
% 6.18/6.42 Following clause subsumed by 8431 during input processing: 0 [copy,11790,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)).
% 6.18/6.42 Following clause subsumed by 8432 during input processing: 0 [copy,11791,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)).
% 6.18/6.42 Following clause subsumed by 8433 during input processing: 0 [copy,11792,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).
% 6.18/6.42 Following clause subsumed by 8437 during input processing: 0 [copy,11799,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)).
% 6.18/6.42 Following clause subsumed by 8449 during input processing: 0 [copy,11800,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).
% 6.18/6.42 Following clause subsumed by 8450 during input processing: 0 [copy,11801,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).
% 6.18/6.42 Following clause subsumed by 8453 during input processing: 0 [copy,11802,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).
% 6.18/6.42 Following clause subsumed by 12414 during input processing: 0 [copy,11803,flip.1] {-} hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,tc_fun(B,tc_HOL_Obool)),hAPP(hAPP(c_COMBS(A,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),A),c_fdisj),hAPP(c_fequal,C))),D)),E)=hAPP(c_Relation_OImage(B,B,c_Relation_OId__on(B,hAPP(E,C))),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,tc_fun(B,tc_HOL_Obool)),D),E)).
% 6.18/6.42 Following clause subsumed by 11805 during input processing: 0 [copy,11804,flip.1] {-} hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,tc_fun(B,tc_HOL_Obool)),C),hAPP(hAPP(c_COMBB(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool),A),hAPP(c_Set_Oinsert(B),D)),E))=hAPP(hAPP(c_COMBS(B,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),B),c_fdisj),hAPP(c_fequal,D))),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,tc_fun(B,tc_HOL_Obool)),C),E)).
% 6.18/6.42 Following clause subsumed by 11804 during input processing: 0 [copy,11805,flip.1] {-} hAPP(hAPP(c_COMBS(A,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),A),c_fdisj),hAPP(c_fequal,B))),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(C,tc_fun(A,tc_HOL_Obool)),D),E))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(C,tc_fun(A,tc_HOL_Obool)),D),hAPP(hAPP(c_COMBB(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool),C),hAPP(c_Set_Oinsert(A),B)),E)).
% 6.18/6.42 11805 back subsumes 11539.
% 6.18/6.42 Following clause subsumed by 11811 during input processing: 0 [copy,11809,flip.1] {-} hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,tc_fun(B,tc_HOL_Obool)),C),hAPP(hAPP(c_COMBB(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool),A),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(B,tc_HOL_Obool)),D)),E))=hAPP(hAPP(c_COMBS(B,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),B),c_fdisj),D)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,tc_fun(B,tc_HOL_Obool)),C),E)).
% 6.18/6.42 Following clause subsumed by 11812 during input processing: 0 [copy,11810,flip.1] {-} hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,tc_fun(B,tc_HOL_Obool)),C),hAPP(hAPP(c_COMBC(A,tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(B,tc_HOL_Obool),tc_fun(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool)),A),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(B,tc_HOL_Obool))),D)),E))=hAPP(hAPP(c_COMBS(B,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),B),c_fdisj),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,tc_fun(B,tc_HOL_Obool)),C),D))),E).
% 6.18/6.42 Following clause subsumed by 11809 during input processing: 0 [copy,11811,flip.1] {-} hAPP(hAPP(c_COMBS(A,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),A),c_fdisj),B)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(C,tc_fun(A,tc_HOL_Obool)),D),E))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(C,tc_fun(A,tc_HOL_Obool)),D),hAPP(hAPP(c_COMBB(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool),C),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool)),B)),E)).
% 6.18/6.42 Following clause subsumed by 11810 during input processing: 0 [copy,11812,flip.1] {-} hAPP(hAPP(c_COMBS(A,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),A),c_fdisj),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(B,tc_fun(A,tc_HOL_Obool)),C),D))),E)=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(B,tc_fun(A,tc_HOL_Obool)),C),hAPP(hAPP(c_COMBC(B,tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(A,tc_HOL_Obool),tc_fun(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),B),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool))),D)),E)).
% 6.18/6.42 Following clause subsumed by 8498 during input processing: 0 [copy,11814,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)).
% 6.18/6.42 Following clause subsumed by 8500 during input processing: 0 [copy,11815,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)).
% 6.18/6.42 Following clause subsumed by 11817 during input processing: 0 [copy,11816,flip.1] {-} hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,B)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(C,tc_fun(A,tc_HOL_Obool)),D),E)))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,tc_fun(A,tc_HOL_Obool)),D),hAPP(hAPP(c_COMBB(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool),C),hAPP(c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool)),B)),E)).
% 6.18/6.42 Following clause subsumed by 11816 during input processing: 0 [copy,11817,flip.1] {-} hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,tc_fun(B,tc_HOL_Obool)),C),hAPP(hAPP(c_COMBB(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool),A),hAPP(c_Groups_Ominus__class_Ominus(tc_fun(B,tc_HOL_Obool)),D)),E))=hAPP(c_Relation_OImage(B,B,c_Relation_OId__on(B,D)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,B),c_fNot),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,tc_fun(B,tc_HOL_Obool)),C),E))).
% 6.18/6.42 Following clause subsumed by 12849 during input processing: 0 [copy,11818,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)).
% 6.18/6.42 Following clause subsumed by 8511 during input processing: 0 [copy,11821,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)).
% 6.18/6.42 Following clause subsumed by 12413 during input processing: 0 [copy,11822,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)).
% 6.18/6.42 Following clause subsumed by 12827 during input processing: 0 [copy,11824,flip.1] {-} hAPP(hAPP(c_COMBB(tc_fun(A,tc_HOL_Obool),tc_HOL_Obool,B),c_HOL_OAll(A)),C)=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,tc_fun(B,tc_HOL_Obool)),hAPP(c_COMBK(tc_HOL_Obool,A),c_fTrue)),hAPP(hAPP(c_COMBB(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool),A),c_Set_OCollect(B)),hAPP(c_COMBC(B,A,tc_HOL_Obool),C))).
% 6.18/6.42 Following clause subsumed by 8549 during input processing: 0 [copy,11825,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).
% 6.18/6.42 Following clause subsumed by 8552 during input processing: 0 [copy,11826,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)).
% 6.18/6.42 Following clause subsumed by 8568 during input processing: 0 [copy,11827,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).
% 6.18/6.42 Following clause subsumed by 12223 during input processing: 0 [copy,11828,flip.1] {-} hAPP(c_List_Oset(A),hAPP(c_List_Ofilter(A,B),C))=hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,hAPP(c_List_Oset(A),C))),B).
% 6.18/6.42 Following clause subsumed by 8571 during input processing: 0 [copy,11829,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)).
% 6.18/6.42 Following clause subsumed by 11876 during input processing: 0 [copy,11830,flip.1] {-} hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,hAPP(c_List_Oset(A),B))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),hAPP(c_fequal,C)))=hAPP(c_List_Oset(A),hAPP(c_List_OremoveAll(A,C),B)).
% 6.18/6.42 Following clause subsumed by 8591 during input processing: 0 [copy,11831,flip.1] {-} c_List_Omap__filter(A,B,C,c_List_Olist_ONil(A))=c_List_Olist_ONil(B).
% 6.18/6.42 Following clause subsumed by 8595 during input processing: 0 [copy,11832,flip.1] {-} c_List_Omap__filter(A,B,C,hAPP(hAPP(c_List_Olist_OCons(A),D),E))=hAPP(c_Option_Ooption_Ooption__case(tc_List_Olist(B),B,c_List_Omap__filter(A,B,C,E),hAPP(hAPP(c_COMBC(B,tc_List_Olist(B),tc_List_Olist(B)),c_List_Olist_OCons(B)),c_List_Omap__filter(A,B,C,E))),hAPP(C,D)).
% 6.18/6.42 Following clause subsumed by 8596 during input processing: 0 [copy,11833,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)))).
% 6.18/6.43 Following clause subsumed by 8600 during input processing: 0 [copy,11834,flip.1] {-} hAPP(hAPP(c_List_Omap(A,B),C),hAPP(c_List_Ofilter(A,D),E))=c_List_Omap__filter(A,B,hAPP(hAPP(c_COMBC(A,tc_Option_Ooption(B),tc_Option_Ooption(B)),hAPP(hAPP(c_COMBS(A,tc_Option_Ooption(B),tc_fun(tc_Option_Ooption(B),tc_Option_Ooption(B))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_Option_Ooption(B),tc_fun(tc_Option_Ooption(B),tc_Option_Ooption(B))),A),c_If(tc_Option_Ooption(B))),D)),hAPP(hAPP(c_COMBB(B,tc_Option_Ooption(B),A),c_Option_Ooption_OSome(B)),C))),c_Option_Ooption_ONone(B)),E).
% 6.18/6.43 Following clause subsumed by 8604 during input processing: 0 [copy,11835,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).
% 6.18/6.43 Following clause subsumed by 8607 during input processing: 0 [copy,11836,flip.1] {-} c_List_Oupt(A,hAPP(c_Int_Onat,c_Int_OPls))=c_List_Olist_ONil(tc_Nat_Onat).
% 6.18/6.43 Following clause subsumed by 8633 during input processing: 0 [copy,11837,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))))).
% 6.18/6.43 Following clause subsumed by 8645 during input processing: 0 [copy,11838,flip.1] {-} hAPP(c_List_Orev(A),hAPP(hAPP(c_List_Omap(B,A),C),D))=hAPP(hAPP(c_List_Omap(B,A),C),hAPP(c_List_Orev(B),D)).
% 6.18/6.43 Following clause subsumed by 8652 during input processing: 0 [copy,11839,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)).
% 6.18/6.43 Following clause subsumed by 8655 during input processing: 0 [copy,11840,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)).
% 6.18/6.43 Following clause subsumed by 8656 during input processing: 0 [copy,11841,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).
% 6.18/6.43 Following clause subsumed by 8668 during input processing: 0 [copy,11842,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)).
% 6.18/6.43 Following clause subsumed by 11880 during input processing: 0 [copy,11843,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))).
% 6.18/6.43 Following clause subsumed by 8693 during input processing: 0 [copy,11844,flip.1] {-} hAPP(c_List_Orev(A),hAPP(hAPP(c_List_Odrop(A),B),C))=c_List_Osublist(A,hAPP(c_List_Orev(A),C),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(c_Int_Onat,c_Int_OPls)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_COMBK(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls)))),c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,B,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(A)),C))))).
% 6.18/6.43 Following clause subsumed by 8710 during input processing: 0 [copy,11846,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)).
% 6.18/6.43 Following clause subsumed by 8711 during input processing: 0 [copy,11847,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)).
% 6.18/6.43 Following clause subsumed by 8742 during input processing: 0 [copy,11849,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).
% 6.18/6.43 Following clause subsumed by 8770 during input processing: 0 [copy,11851,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).
% 6.18/6.43 Following clause subsumed by 8778 during input processing: 0 [copy,11852,flip.1] {-} c_Enum_On__lists(A,hAPP(c_Int_Onat,c_Int_OPls),B)=c_Enum_Osublists(A,c_List_Olist_ONil(A)).
% 6.18/6.43 Following clause subsumed by 8781 during input processing: 0 [copy,11853,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))))).
% 6.18/6.43 Following clause subsumed by 8785 during input processing: 0 [copy,11854,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)).
% 6.18/6.43 Following clause subsumed by 12217 during input processing: 0 [copy,11863,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).
% 6.18/6.43 Following clause subsumed by 8789 during input processing: 0 [copy,11864,flip.1] {-} c_Enum_Oproduct(A,B,c_List_Olist_ONil(A),C)=c_List_Olist_ONil(tc_prod(A,B)).
% 6.18/6.43 Following clause subsumed by 8797 during input processing: 0 [copy,11866,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)).
% 6.18/6.43 Following clause subsumed by 8828 during input processing: 0 [copy,11869,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)).
% 6.18/6.43 Following clause subsumed by 8839 during input processing: 0 [copy,11870,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)).
% 6.18/6.43 Following clause subsumed by 12406 during input processing: 0 [copy,11872,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)).
% 6.18/6.43 Following clause subsumed by 8886 during input processing: 0 [copy,11873,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))).
% 6.18/6.43 Following clause subsumed by 11830 during input processing: 0 [copy,11876,flip.1] {-} hAPP(c_List_Oset(A),hAPP(c_List_OremoveAll(A,B),C))=hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,hAPP(c_List_Oset(A),C))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),hAPP(c_fequal,B))).
% 6.18/6.43 Following clause subsumed by 12404 during input processing: 0 [copy,11877,flip.1] {-} hAPP(c_List_Oset(A),c_List_Oinsert(A,B,C))=hAPP(hAPP(c_COMBS(A,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),A),c_fdisj),hAPP(c_fequal,B))),hAPP(c_List_Oset(A),C)).
% 6.18/6.43 Following clause subsumed by 11843 during input processing: 0 [copy,11880,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)).
% 6.18/6.43 Following clause subsumed by 11785 during input processing: 0 [copy,11885,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)).
% 6.18/6.43 Following clause subsumed by 11763 during input processing: 0 [copy,11891,flip.1] {-} c_List_Oinsert(A,B,c_List_Olist_ONil(A))=c_List_Osublist(A,hAPP(hAPP(c_List_Olist_OCons(A),B),C),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(c_Int_Onat,c_Int_OPls),hAPP(c_Int_Onat,c_Int_OPls))).
% 6.18/6.43 Following clause subsumed by 8914 during input processing: 0 [copy,11920,flip.1] {-} c_List_Omaps(A,B,C,c_List_Olist_ONil(A))=c_List_Olist_ONil(B).
% 6.18/6.43 Following clause subsumed by 8915 during input processing: 0 [copy,11921,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)).
% 6.18/6.43 Following clause subsumed by 8943 during input processing: 0 [copy,11922,flip.1] {-} hAPP(hAPP(c_Product__Type_Oscomp(A,B,A,C),hAPP(c_Product__Type_OPair(B,A),D)),E)=hAPP(E,D).
% 6.18/6.43 Following clause subsumed by 8944 during input processing: 0 [copy,11923,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)).
% 6.18/6.43 Following clause subsumed by 9012 during input processing: 0 [copy,11957,flip.1] {-} hAPP(c_Code__Numeral_Onat__of,A)=c_Code__Numeral_Onat__of__aux(A,hAPP(c_Int_Onat,c_Int_OPls)).
% 6.18/6.43 Following clause subsumed by 11176 during input processing: 0 [copy,11967,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)))).
% 6.18/6.43 Following clause subsumed by 9065 during input processing: 0 [copy,11975,flip.1] {-} hAPP(hAPP(c_Code__Numeral_Osubtract__code__numeral,hAPP(c_Code__Numeral_Oof__nat,A)),hAPP(c_Code__Numeral_Oof__nat,B))=hAPP(c_Code__Numeral_Oof__nat,hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_COMBK(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls)))),c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,B,A))).
% 6.18/6.43 Following clause subsumed by 12172 during input processing: 0 [copy,11976,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_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls)))))),B))).
% 6.18/6.43 Following clause subsumed by 9074 during input processing: 0 [copy,11978,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)).
% 6.18/6.43 Following clause subsumed by 9075 during input processing: 0 [copy,11979,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)).
% 6.18/6.43 Following clause subsumed by 9077 during input processing: 0 [copy,11980,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)).
% 6.18/6.43 Following clause subsumed by 9081 during input processing: 0 [copy,11981,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)).
% 6.18/6.43 Following clause subsumed by 12398 during input processing: 0 [copy,11982,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)).
% 6.18/6.43 Following clause subsumed by 9156 during input processing: 0 [copy,12012,flip.1] {-} hAPP(hAPP(c_Nat_Ocompow(tc_prod(A,A),tc_HOL_Obool),hAPP(c_Int_Onat,c_Int_OPls)),B)=hAPP(c_Relation_ODomain(tc_prod(A,A),A),hAPP(c_Product__Type_Oprod_Oprod__case(tc_prod(A,A),A,tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_prod(A,A),tc_fun(A,tc_prod(A,A)),tc_fun(A,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(A,A),tc_HOL_Obool),tc_fun(tc_fun(A,tc_prod(A,A)),tc_fun(A,tc_HOL_Obool)),tc_prod(A,A)),c_COMBB(tc_prod(A,A),tc_HOL_Obool,A)),c_fequal)),hAPP(hAPP(c_COMBS(A,A,tc_prod(A,A)),c_Product__Type_OPair(A,A)),c_COMBI(A))))).
% 6.18/6.43 Following clause subsumed by 9158 during input processing: 0 [copy,12013,flip.1] {-} hAPP(hAPP(c_Nat_Ocompow(A,A),hAPP(c_Int_Onat,c_Int_OPls)),B)=c_Fun_Oid(A).
% 6.18/6.43 Following clause subsumed by 9159 during input processing: 0 [copy,12014,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)).
% 6.18/6.43 Following clause subsumed by 9162 during input processing: 0 [copy,12015,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)).
% 6.18/6.43 Following clause subsumed by 9165 during input processing: 0 [copy,12016,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)).
% 6.18/6.43 Following clause subsumed by 9178 during input processing: 0 [copy,12017,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)).
% 6.18/6.43 Following clause subsumed by 9405 during input processing: 0 [copy,12034,flip.1] {-} hAPP(hAPP(hAPP(c_COMBC(A,B,C),D),E),F)=hAPP(hAPP(D,F),E).
% 6.18/6.43 Following clause subsumed by 9406 during input processing: 0 [copy,12035,flip.1] {-} hAPP(hAPP(hAPP(c_COMBS(A,B,C),D),E),F)=hAPP(hAPP(D,F),hAPP(E,F)).
% 6.18/6.43 Following clause subsumed by 12044 during input processing: 0 [copy,12039,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_OSemi(A,B)).
% 6.18/6.43 Following clause subsumed by 12043 during input processing: 0 [copy,12040,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)).
% 6.18/6.43 Following clause subsumed by 12040 during input processing: 0 [copy,12043,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))).
% 6.18/6.43 Following clause subsumed by 12039 during input processing: 0 [copy,12044,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))).
% 6.18/6.43 Following clause subsumed by 12071 during input processing: 0 [copy,12045,flip.1] {-} c_Option_Ooption_ONone(A)=hAPP(c_Map_Orestrict__map(B,A,C,hAPP(c_COMBK(tc_HOL_Obool,B),c_fFalse)),D).
% 6.18/6.43 Following clause subsumed by 12889 during input processing: 0 [copy,12066,flip.1,demod,12070,12271] {-} hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,B)),hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),C))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),hAPP(c_fequal,D))))=hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,B)),hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),hAPP(c_fequal,D)))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),C))).
% 6.18/6.43 Following clause subsumed by 12045 during input processing: 0 [copy,12071,flip.1] {-} hAPP(c_Map_Orestrict__map(A,B,C,hAPP(c_COMBK(tc_HOL_Obool,A),c_fFalse)),D)=c_Option_Ooption_ONone(B).
% 6.18/6.43 Following clause subsumed by 12272 during input processing: 0 [copy,12087,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)).
% 6.18/6.43 Following clause subsumed by 12100 during input processing: 0 [copy,12088,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)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),C)))),hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,D)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),C)))=hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,hAPP(hAPP(c_COMBS(A,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),A),c_fdisj),B)),D))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),C)).
% 6.18/6.43 Following clause subsumed by 12100 during input processing: 0 [copy,12089,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).
% 6.18/6.43 12089 back subsumes 12088.
% 6.18/6.44 Following clause subsumed by 12099 during input processing: 0 [copy,12090,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),hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),D))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),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).
% 6.18/6.44 Following clause subsumed by 7323 during input processing: 0 [copy,12098,flip.1,demod,12271,12853,12865,12960] {-} 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),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))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),D))).
% 6.18/6.44 Following clause subsumed by 12090 during input processing: 0 [copy,12099,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))),D)=hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,hAPP(hAPP(c_COMBS(A,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),A),c_fdisj),B)),D))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),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)))).
% 6.18/6.44 Following clause subsumed by 12089 during input processing: 0 [copy,12100,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)).
% 6.18/6.44 Following clause subsumed by 10807 during input processing: 0 [copy,12109,flip.1] {-} hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_COMBK(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls)))),c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,hAPP(c_Nat_OSuc,A),B))=c_Nat_Onat_Onat__case(tc_Nat_Onat,hAPP(c_Int_Onat,c_Int_OPls),c_COMBI(tc_Nat_Onat),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_COMBK(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls)))),c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,A,B))).
% 6.18/6.44 Following clause subsumed by 11664 during input processing: 0 [copy,12116,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)).
% 6.18/6.44 Following clause subsumed by 12540 during input processing: 0 [copy,12129,flip.1] {-} hAPP(c_COMBK(tc_HOL_Obool,A),c_fTrue)=hAPP(c_Set_Ovimage(A,B,C),hAPP(c_COMBK(tc_HOL_Obool,B),c_fTrue)).
% 6.18/6.44 Following clause subsumed by 12258 during input processing: 0 [copy,12130,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_Ovimage(A,B,C),D))),hAPP(c_Set_Ovimage(A,B,C),E))=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)).
% 6.18/6.44 Following clause subsumed by 12847 during input processing: 0 [copy,12135,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)).
% 6.18/6.44 Following clause subsumed by 12202 during input processing: 0 [copy,12136,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)).
% 6.18/6.44 Following clause subsumed by 11037 during input processing: 0 [copy,12137,flip.1] {-} hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),B)))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B),B))).
% 6.18/6.44 Following clause subsumed by 11976 during input processing: 0 [copy,12172,flip.1] {-} c_Lazy__Sequence_Ohb__not__seq(hAPP(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Code__Numeral_Ocode__numeral),hAPP(c_Code__Numeral_Oof__nat,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls)))))),B)))=hAPP(c_New__DSequence_Opos__not__seq(A),B).
% 6.18/6.44 Following clause subsumed by 12257 during input processing: 0 [copy,12173,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(B,A,C),D))),hAPP(c_Relation_OImage(B,A,C),E))=hAPP(c_Relation_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)).
% 6.18/6.44 Following clause subsumed by 12256 during input processing: 0 [copy,12174,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(B,A,C),D))),hAPP(c_Relation_OImage(B,A,E),D))=hAPP(c_Relation_OImage(B,A,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),C)),E)),D).
% 6.18/6.44 Following clause subsumed by 11189 during input processing: 0 [copy,12179,flip.1] {-} c_Nat_Onat_Onat__case(tc_Nat_Onat,hAPP(c_Int_Onat,c_Int_OPls),c_COMBI(tc_Nat_Onat),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_COMBK(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls)))),c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,A,B)))=hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_COMBK(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls)))),c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Nat_Onat,A,B)).
% 6.18/6.44 Following clause subsumed by 11249 during input processing: 0 [copy,12186,flip.1] {-} hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint,tc_Nat_Onat),hAPP(c_COMBK(tc_Nat_Onat,tc_Int_Oint),hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls)))),c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),A),c_Int_OMin),B))=hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint,tc_Nat_Onat),hAPP(c_COMBK(tc_Nat_Onat,tc_Int_Oint),hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls)))),c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Int_Oint,A,B)).
% 6.18/6.44 Following clause subsumed by 11336 during input processing: 0 [copy,12195,flip.1] {-} hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_COMBK(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls)))),c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,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))).
% 6.29/6.47 Following clause subsumed by 12246 during input processing: 0 [copy,12197,flip.1] {-} hAPP(hAPP(c_COMBS(A,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),A),c_fdisj),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(B,tc_fun(A,tc_HOL_Obool)),C),D))),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(B,tc_fun(A,tc_HOL_Obool)),E),D))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(B,tc_fun(A,tc_HOL_Obool)),hAPP(hAPP(c_COMBS(B,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),B),c_fdisj),C)),E)),D).
% 6.29/6.47 Following clause subsumed by 11360 during input processing: 0 [copy,12199,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)).
% 6.29/6.47 Following clause subsumed by 12242 during input processing: 0 [copy,12201,flip.1] {-} hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_COMBS(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fdisj),hAPP(c_fequal,hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),A),hAPP(c_Int_Onat,c_Int_OPls))))),c_Relation_OId__on(tc_Nat_Onat,hAPP(c_COMBK(tc_HOL_Obool,tc_Nat_Onat),c_fFalse)))))=hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),A).
% 6.29/6.47 Following clause subsumed by 12136 during input processing: 0 [copy,12202,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))).
% 6.29/6.47 Following clause subsumed by 12897 during input processing: 0 [copy,12206,flip.1] {-} hAPP(c_Relation_OImage(tc_prod(A,B),tc_prod(A,B),c_Relation_OId__on(tc_prod(A,B),hAPP(hAPP(c_Product__Type_OSigma(A,B),C),D))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(A,B)),c_fNot),hAPP(hAPP(c_Product__Type_OSigma(A,B),E),D)))=hAPP(hAPP(c_Product__Type_OSigma(A,B),hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,C)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),E))),D).
% 6.29/6.47 12206 back subsumes 12205.
% 6.29/6.47 Following clause subsumed by 7323 during input processing: 0 [copy,12207,flip.1,demod,12215,12215,12515] {-} c_Nitpick_Oprod(A,B,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),C),hAPP(c_COMBK(tc_HOL_Obool,B),c_fTrue))=c_Nitpick_Oprod(A,B,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),C),hAPP(c_COMBK(tc_HOL_Obool,B),c_fTrue)).
% 6.29/6.47 Following clause subsumed by 12239 during input processing: 0 [copy,12210,flip.1] {-} 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),E),D))=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)),E)),D).
% 6.33/6.53 Following clause subsumed by 11420 during input processing: 0 [copy,12216,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_Oprod_Oprod__case(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)).
% 6.33/6.53 Following clause subsumed by 11863 during input processing: 0 [copy,12217,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))).
% 6.33/6.53 Following clause subsumed by 11828 during input processing: 0 [copy,12223,flip.1] {-} hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,hAPP(c_List_Oset(A),B))),C)=hAPP(c_List_Oset(A),hAPP(c_List_Ofilter(A,C),B)).
% 6.33/6.53 Following clause subsumed by 11608 during input processing: 0 [copy,12230,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).
% 6.33/6.53 Following clause subsumed by 12210 during input processing: 0 [copy,12239,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)).
% 6.33/6.53 Following clause subsumed by 12201 during input processing: 0 [copy,12242,flip.1] {-} hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),A)=hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_COMBS(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fdisj),hAPP(c_fequal,hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),A),hAPP(c_Int_Onat,c_Int_OPls))))),c_Relation_OId__on(tc_Nat_Onat,hAPP(c_COMBK(tc_HOL_Obool,tc_Nat_Onat),c_fFalse))))).
% 6.33/6.53 Following clause subsumed by 11491 during input processing: 0 [copy,12245,flip.1] {-} hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,tc_fun(B,tc_HOL_Obool)),hAPP(hAPP(c_COMBS(A,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),A),c_fdisj),hAPP(c_fequal,C))),D)),E)=hAPP(hAPP(c_COMBS(B,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),B),c_fdisj),hAPP(E,C))),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,tc_fun(B,tc_HOL_Obool)),D),E)).
% 6.33/6.53 Following clause subsumed by 12197 during input processing: 0 [copy,12246,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)).
% 6.33/6.53 Following clause subsumed by 12174 during input processing: 0 [copy,12256,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)).
% 6.37/6.54 Following clause subsumed by 12173 during input processing: 0 [copy,12257,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)).
% 6.37/6.54 Following clause subsumed by 12130 during input processing: 0 [copy,12258,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)).
% 6.37/6.54 Following clause subsumed by 12087 during input processing: 0 [copy,12272,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)).
% 6.37/6.54 Following clause subsumed by 11503 during input processing: 0 [copy,12273,flip.1] {-} hAPP(c_Set_Oimage(A,B,C),hAPP(hAPP(c_COMBS(A,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),A),c_fdisj),hAPP(c_fequal,D))),E))=hAPP(hAPP(c_COMBS(B,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),B),c_fdisj),hAPP(c_fequal,hAPP(C,D)))),hAPP(c_Set_Oimage(A,B,C),E)).
% 6.37/6.54 Following clause subsumed by 11982 during input processing: 0 [copy,12398,flip.1] {-} 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(c_Relation_Oconverse(B,A),C))),hAPP(c_Relation_Oconverse(B,A),D))=hAPP(c_Relation_Oconverse(B,A),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),C)),D)).
% 6.37/6.54 Following clause subsumed by 11877 during input processing: 0 [copy,12404,flip.1] {-} hAPP(hAPP(c_COMBS(A,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),A),c_fdisj),hAPP(c_fequal,B))),hAPP(c_List_Oset(A),C))=hAPP(c_List_Oset(A),c_List_Oinsert(A,B,C)).
% 6.37/6.54 Following clause subsumed by 11872 during input processing: 0 [copy,12406,flip.1] {-} hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),B),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool)),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)),c_Complete__Lattice_OInf__class_OInf(tc_fun(A,tc_HOL_Obool),B)).
% 6.37/6.54 Following clause subsumed by 11822 during input processing: 0 [copy,12413,flip.1] {-} hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(B,tc_fun(A,tc_HOL_Obool)),C),D))),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(B,tc_fun(A,tc_HOL_Obool)),E),D))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(B,tc_fun(A,tc_HOL_Obool)),hAPP(hAPP(c_COMBS(B,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),B),c_fdisj),C)),E)),D).
% 6.37/6.54 Following clause subsumed by 11803 during input processing: 0 [copy,12414,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_COMBS(D,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),D),c_fdisj),hAPP(c_fequal,C))),E)),B).
% 6.37/6.54 Following clause subsumed by 11657 during input processing: 0 [copy,12420,flip.1] {-} hAPP(hAPP(c_COMBS(A,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),A),c_fdisj),hAPP(c_fequal,B))),hAPP(c_List_Oset(A),C))=hAPP(c_List_Oset(A),hAPP(hAPP(c_List_Olist_OCons(A),B),C)).
% 6.37/6.55 Following clause subsumed by 11632 during input processing: 0 [copy,12421,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_ODomain(A,A),B))),hAPP(c_Relation_ORange(A,A),B))=hAPP(c_Relation_OField(A),B).
% 6.37/6.55 12447 back subsumes 11502.
% 6.37/6.55 Following clause subsumed by 12450 during input processing: 0 [copy,12450,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).
% 6.37/6.55 12483 back subsumes 11559.
% 6.37/6.55 12487 back subsumes 12319.
% 6.37/6.55 12488 back subsumes 12320.
% 6.37/6.55 12508 back subsumes 11580.
% 6.37/6.55 12511 back subsumes 11582.
% 6.37/6.55 Following clause subsumed by 12977 during input processing: 0 [copy,12516,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).
% 6.37/6.55 Following clause subsumed by 11722 during input processing: 0 [copy,12517,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).
% 6.37/6.55 Following clause subsumed by 11725 during input processing: 0 [copy,12525,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))).
% 6.37/6.55 Following clause subsumed by 11735 during input processing: 0 [copy,12526,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)))).
% 6.37/6.55 Following clause subsumed by 11736 during input processing: 0 [copy,12527,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)))).
% 6.37/6.55 Following clause subsumed by 11745 during input processing: 0 [copy,12538,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).
% 6.37/6.55 Following clause subsumed by 12129 during input processing: 0 [copy,12540,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).
% 6.37/6.55 Following clause subsumed by 11748 during input processing: 0 [copy,12541,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).
% 6.37/6.55 12596 back subsumes 8030.
% 6.37/6.55 Following clause subsumed by 11755 during input processing: 0 [copy,12610,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).
% 6.37/6.55 12805 back subsumes 11990.
% 6.37/6.55 Following clause subsumed by 11824 during input processing: 0 [copy,12827,flip.1] {-} hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,tc_fun(B,tc_HOL_Obool)),hAPP(c_COMBK(tc_HOL_Obool,A),c_fTrue)),hAPP(hAPP(c_COMBB(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool),A),c_Set_OCollect(B)),hAPP(c_COMBC(B,A,tc_HOL_Obool),C)))=hAPP(hAPP(c_COMBB(tc_fun(A,tc_HOL_Obool),tc_HOL_Obool,B),c_HOL_OAll(A)),C).
% 6.37/6.55 Following clause subsumed by 11762 during input processing: 0 [copy,12835,flip.1] {-} c_List_Olist_ONil(A)=c_List_Osublist(A,B,hAPP(c_COMBK(tc_HOL_Obool,tc_Nat_Onat),c_fFalse)).
% 6.37/6.56 Following clause subsumed by 12135 during input processing: 0 [copy,12847,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)).
% 6.37/6.56 Following clause subsumed by 11818 during input processing: 0 [copy,12849,flip.1] {-} hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,tc_fun(B,tc_HOL_Obool)),C),hAPP(hAPP(c_COMBB(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool),A),c_Groups_Ouminus__class_Ouminus(tc_fun(B,tc_HOL_Obool))),D))=hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,B),c_fNot),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,tc_fun(B,tc_HOL_Obool)),C),D)).
% 6.37/6.56 Following clause subsumed by 12957 during input processing: 0 [copy,12889,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),hAPP(c_fequal,C)))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),D)))=hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,B)),hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),D))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),hAPP(c_fequal,C)))).
% 6.37/6.56 Following clause subsumed by 12206 during input processing: 0 [copy,12897,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))).
% 6.37/6.56 Following clause subsumed by 11590 during input processing: 0 [copy,12918,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).
% 6.37/6.56 Following clause subsumed by 11594 during input processing: 0 [copy,12919,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),c_Map_Odom(A,B,c_Map_Orestrict__map(A,B,C,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,D)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),c_Map_Odom(A,B,E)))))))),hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,D)),c_Map_Odom(A,B,E)))=c_Map_Odom(A,B,c_Fun_Ooverride__on(A,tc_Option_Ooption(B),C,E,D)).
% 6.37/6.56 Following clause subsumed by 11623 during input processing: 0 [copy,12920,flip.1] {-} 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_Relation_Orel__comp(A,C,B),D),E))),hAPP(hAPP(c_Relation_Orel__comp(A,C,B),F),E))=hAPP(hAPP(c_Relation_Orel__comp(A,C,B),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),D)),F)),E).
% 6.37/6.56 Following clause subsumed by 11624 during input processing: 0 [copy,12921,flip.1] {-} 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_Relation_Orel__comp(A,C,B),D),E))),hAPP(hAPP(c_Relation_Orel__comp(A,C,B),D),F))=hAPP(hAPP(c_Relation_Orel__comp(A,C,B),D),hAPP(hAPP(c_COMBS(tc_prod(C,B),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_prod(C,B)),c_fdisj),E)),F)).
% 6.37/6.56 Following clause subsumed by 11678 during input processing: 0 [copy,12929,flip.1] {-} c_List_Osublist(A,B,hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(c_Int_Onat,c_Int_OPls)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_Nat_Onat),C),D)))=c_List_Osublist(A,c_List_Osublist(A,B,hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(c_Int_Onat,c_Int_OPls)),D)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(c_Int_Onat,c_Int_OPls)),C)).
% 6.37/6.56 Following clause subsumed by 12940 during input processing: 0 [copy,12930,flip.1] {-} c_List_Olist_ONil(A)=c_List_Osublist(A,B,hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),hAPP(c_COMBK(tc_HOL_Obool,tc_Int_Oint),c_fFalse))).
% 6.37/6.56 Following clause subsumed by 12930 during input processing: 0 [copy,12940,flip.1] {-} c_List_Osublist(A,B,hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),hAPP(c_COMBK(tc_HOL_Obool,tc_Int_Oint),c_fFalse)))=c_List_Olist_ONil(A).
% 6.37/6.56 Following clause subsumed by 11808 during input processing: 0 [copy,12942,flip.1] {-} hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,tc_fun(B,tc_HOL_Obool)),C),hAPP(hAPP(c_COMBB(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool),A),c_Set_OCollect(B)),hAPP(c_COMBC(B,A,tc_HOL_Obool),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))),D)).
% 6.37/6.56 Following clause subsumed by 11813 during input processing: 0 [copy,12943,flip.1] {-} hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,tc_fun(B,tc_HOL_Obool)),C),hAPP(hAPP(c_COMBB(tc_fun(D,tc_fun(B,tc_HOL_Obool)),tc_fun(B,tc_HOL_Obool),A),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(D,tc_fun(B,tc_HOL_Obool)),E)),hAPP(hAPP(c_COMBC(A,tc_fun(D,tc_fun(B,tc_HOL_Obool)),tc_fun(D,tc_fun(B,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool)),tc_fun(tc_fun(D,tc_fun(B,tc_HOL_Obool)),tc_fun(D,tc_fun(B,tc_HOL_Obool))),A),c_COMBB(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool),D)),hAPP(hAPP(c_COMBB(tc_fun(B,tc_HOL_Obool),tc_fun(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool)),A),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(B,tc_HOL_Obool))),F))),G)))=hAPP(hAPP(c_COMBS(B,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),B),c_fdisj),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,tc_fun(B,tc_HOL_Obool)),C),F))),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(D,tc_fun(B,tc_HOL_Obool)),E),G)).
% 6.37/6.56 Following clause subsumed by 11823 during input processing: 0 [copy,12944,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))),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)))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,tc_fun(B,tc_HOL_Obool)),C),D).
% 6.37/6.56 Following clause subsumed by 11845 during input processing: 0 [copy,12945,flip.1] {-} hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(A)),hAPP(hAPP(c_List_Olist_OCons(A),B),hAPP(hAPP(c_List_Omap(tc_List_Olist(A),A),c_List_Ohd(A)),hAPP(c_List_Ofilter(tc_List_Olist(A),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_List_Olist(A)),c_fNot),c_List_Olists(A,hAPP(c_COMBK(tc_HOL_Obool,A),c_fFalse)))),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)).
% 6.37/6.57 Following clause subsumed by 11871 during input processing: 0 [copy,12948,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),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)))),c_Complete__Lattice_OSup__class_OSup(tc_fun(A,tc_HOL_Obool),hAPP(c_Set_Oimage(B,tc_fun(A,tc_HOL_Obool),E),D)))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(B,tc_fun(A,tc_HOL_Obool)),D),hAPP(hAPP(c_COMBS(B,tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(A,tc_HOL_Obool),tc_fun(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),B),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool))),C)),E)).
% 6.37/6.57 Following clause subsumed by 11914 during input processing: 0 [copy,12950,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).
% 6.37/6.57 Following clause subsumed by 11915 during input processing: 0 [copy,12951,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).
% 6.37/6.57 Following clause subsumed by 11916 during input processing: 0 [copy,12952,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)).
% 6.37/6.57 Following clause subsumed by 11917 during input processing: 0 [copy,12953,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)).
% 6.37/6.57 Following clause subsumed by 11977 during input processing: 0 [copy,12955,flip.1] {-} hAPP(hAPP(c_Code__Numeral_Osubtract__code__numeral,A),B)=hAPP(c_Code__Numeral_Oof__nat,hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_COMBK(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls)))),c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,hAPP(c_Code__Numeral_Onat__of,B),hAPP(c_Code__Numeral_Onat__of,A)))).
% 6.37/6.57 Following clause subsumed by 12958 during input processing: 0 [copy,12957,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))).
% 6.37/6.57 12957 back subsumes 12889.
% 6.37/6.57 Following clause subsumed by 12957 during input processing: 0 [copy,12958,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)).
% 6.37/6.57 Following clause subsumed by 12194 during input processing: 0 [copy,12964,flip.1] {-} hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_COMBK(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls)))),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(c_Nat_OSuc,A),B))=hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_COMBK(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls)))),c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,A,B)).
% 6.37/6.57 Following clause subsumed by 12196 during input processing: 0 [copy,12965,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))).
% 6.37/6.57 Following clause subsumed by 12198 during input processing: 0 [copy,12966,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)).
% 6.37/6.57 Following clause subsumed by 12200 during input processing: 0 [copy,12967,flip.1] {-} hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_OMin),A)=hAPP(c_Int_OAbs__Integ,hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),hAPP(c_Int_ORep__Integ,A)),hAPP(c_Product__Type_Oprod_Oprod__case(tc_Nat_Onat,tc_Nat_Onat,tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_fun(tc_Nat_Onat,tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_Nat_Onat),hAPP(c_COMBB(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_Nat_Onat),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_COMBC(tc_Nat_Onat,tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),tc_fun(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),tc_Nat_Onat),c_COMBC(tc_Nat_Onat,tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),tc_fun(tc_Nat_Onat,tc_fun(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),tc_Nat_Onat),hAPP(c_COMBB(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_fun(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_Nat_Onat),c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)))),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat))))),c_Relation_OId__on(tc_Nat_Onat,hAPP(c_COMBK(tc_HOL_Obool,tc_Nat_Onat),c_fFalse))))))).
% 6.43/6.61 Following clause subsumed by 12204 during input processing: 0 [copy,12968,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))).
% 6.43/6.61 Following clause subsumed by 12516 during input processing: 0 [copy,12977,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)).
% 6.43/6.61 Following clause subsumed by 12990 during input processing: 0 [copy,12987,flip.1] {-} hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_prod(A,B),tc_Nat_Onat),hAPP(c_COMBK(tc_Nat_Onat,tc_prod(A,B)),hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls)))),c_Nitpick_Oprod(A,B,C,D))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(A,tc_Nat_Onat),hAPP(c_COMBK(tc_Nat_Onat,A),hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls)))),C)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(B,tc_Nat_Onat),hAPP(c_COMBK(tc_Nat_Onat,B),hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls)))),D)).
% 6.43/6.61 Following clause subsumed by 12987 during input processing: 0 [copy,12990,flip.1] {-} hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(A,tc_Nat_Onat),hAPP(c_COMBK(tc_Nat_Onat,A),hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls)))),B)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(C,tc_Nat_Onat),hAPP(c_COMBK(tc_Nat_Onat,C),hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls)))),D))=hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_prod(A,C),tc_Nat_Onat),hAPP(c_COMBK(tc_Nat_Onat,tc_prod(A,C)),hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls)))),c_Nitpick_Oprod(A,C,B,D)).
% 6.43/6.61 Following clause subsumed by 12926 during input processing: 0 [copy,13055,flip.1] {-} hAPP(c_List_Oset(tc_prod(A,B)),hAPP(hAPP(c_List_Ozip(A,B),C),D))=hAPP(c_Relation_ODomain(tc_prod(A,B),tc_Nat_Onat),hAPP(c_Product__Type_Oprod_Oprod__case(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)))))))).
% 6.43/6.61 Following clause subsumed by 12973 during input processing: 0 [copy,13060,flip.1] {-} c_Hilbert__Choice_OEps(tc_prod(A,B),c_Nitpick_Oprod(A,B,hAPP(c_fequal,C),hAPP(c_fequal,D)))=hAPP(hAPP(c_Product__Type_OPair(A,B),C),D).
% 6.43/6.61 Following clause subsumed by 12976 during input processing: 0 [copy,13061,flip.1] {-} c_Enum_Oenum__the(tc_prod(A,B),c_Nitpick_Oprod(A,B,hAPP(c_fequal,C),hAPP(c_fequal,D)))=hAPP(hAPP(c_Product__Type_OPair(A,B),C),D).
% 6.43/6.62 Following clause subsumed by 13100 during input processing: 0 [copy,13067,flip.1] {-} hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),hAPP(c_fequal,B)))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),hAPP(c_List_Oset(A),C))))=hAPP(c_List_Oset(A),hAPP(hAPP(c_List_Olist_OCons(A),B),C)).
% 6.43/6.62 Following clause subsumed by 13099 during input processing: 0 [copy,13069,flip.1] {-} hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,hAPP(B,C))),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(D,tc_fun(A,tc_HOL_Obool)),E),B))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(D,tc_fun(A,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,D),c_fNot),hAPP(c_Relation_OImage(D,D,c_Relation_OId__on(D,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,D),c_fNot),hAPP(c_fequal,C)))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,D),c_fNot),E)))),B).
% 6.43/6.62 Following clause subsumed by 13098 during input processing: 0 [copy,13070,flip.1] {-} hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),hAPP(c_fequal,B)))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),hAPP(c_List_Oset(A),C))))=hAPP(c_List_Oset(A),c_List_Oinsert(A,B,C)).
% 6.43/6.62 Following clause subsumed by 13070 during input processing: 0 [copy,13098,flip.1] {-} hAPP(c_List_Oset(A),c_List_Oinsert(A,B,C))=hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),hAPP(c_fequal,B)))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),hAPP(c_List_Oset(A),C)))).
% 6.43/6.62 Following clause subsumed by 13069 during input processing: 0 [copy,13099,flip.1] {-} hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,tc_fun(B,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),hAPP(c_fequal,C)))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),D)))),E)=hAPP(c_Relation_OImage(B,B,c_Relation_OId__on(B,hAPP(E,C))),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,tc_fun(B,tc_HOL_Obool)),D),E)).
% 6.43/6.62 Following clause subsumed by 13067 during input processing: 0 [copy,13100,flip.1] {-} hAPP(c_List_Oset(A),hAPP(hAPP(c_List_Olist_OCons(A),B),C))=hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),hAPP(c_fequal,B)))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),hAPP(c_List_Oset(A),C)))).
% 6.43/6.62 Following clause subsumed by 13051 during input processing: 0 [copy,13152,flip.1] {-} hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot),hAPP(c_Relation_OImage(tc_Nat_Onat,tc_Nat_Onat,c_Relation_OId__on(tc_Nat_Onat,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot),hAPP(c_fequal,hAPP(c_Nat_OSuc,A))))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(c_Int_Onat,c_Int_OPls),A))))=hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Int_OPls,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Relation_OId__on(tc_prod(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_fequal,hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls))),hAPP(c_Int_Onat,c_Int_OPls)))))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),c_Relation_OId__on(tc_Nat_Onat,hAPP(c_COMBK(tc_HOL_Obool,tc_Nat_Onat),c_fFalse)))))))),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),A)))).
% 6.43/6.62 Following clause subsumed by 13053 during input processing: 0 [copy,13153,flip.1] {-} c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),A),c_Int_OMin),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B),hAPP(c_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)))))))))=c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Int_Oint,A,B).
% 6.43/6.62 Following clause subsumed by 13054 during input processing: 0 [copy,13154,flip.1] {-} c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,A,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Relation_OId__on(tc_prod(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_fequal,hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls))),hAPP(c_Int_Onat,c_Int_OPls)))))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),c_Relation_OId__on(tc_Nat_Onat,hAPP(c_COMBK(tc_HOL_Obool,tc_Nat_Onat),c_fFalse)))))))))=hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint,A),B).
% 6.43/6.62 Following clause subsumed by 13056 during input processing: 0 [copy,13155,flip.1] {-} hAPP(hAPP(c_COMBS(tc_prod(A,A),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_prod(A,A)),c_fdisj),c_Transitive__Closure_Otrancl(A,B))),c_Nitpick_Oprod(A,A,hAPP(c_Set_Ovimage(A,tc_prod(A,A),hAPP(hAPP(c_COMBC(A,A,tc_prod(A,A)),c_Product__Type_OPair(A,A)),C)),c_Transitive__Closure_Ortrancl(A,B)),hAPP(c_Set_Ovimage(A,tc_prod(A,A),hAPP(c_Product__Type_OPair(A,A),D)),c_Transitive__Closure_Ortrancl(A,B))))=c_Transitive__Closure_Otrancl(A,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(A,A)),c_fNot),hAPP(c_Relation_OImage(tc_prod(A,A),tc_prod(A,A),c_Relation_OId__on(tc_prod(A,A),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(A,A)),c_fNot),hAPP(c_fequal,hAPP(hAPP(c_Product__Type_OPair(A,A),C),D))))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(A,A)),c_fNot),B)))).
% 6.43/6.62 Following clause subsumed by 13057 during input processing: 0 [copy,13156,flip.1] {-} hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_OMin),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Relation_OId__on(tc_prod(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_fequal,hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),A),B))))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),c_Relation_OId__on(tc_Nat_Onat,hAPP(c_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),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))))))).
% 6.43/6.62 Following clause subsumed by 13058 during input processing: 0 [copy,13157,flip.1] {-} hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Relation_OId__on(tc_prod(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_fequal,hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),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),hAPP(c_fequal,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),hAPP(c_fequal,hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),A),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))))))).
% 6.43/6.62 Following clause subsumed by 13059 during input processing: 0 [copy,13158,flip.1] {-} hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Relation_OId__on(tc_prod(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_fequal,hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls))),hAPP(c_Int_Onat,c_Int_OPls)))))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),c_Relation_OId__on(tc_Nat_Onat,hAPP(c_COMBK(tc_HOL_Obool,tc_Nat_Onat),c_fFalse)))))))),c_Int_OMin)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_Int_Oint,tc_Nat_Onat),hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_Int_Oint),tc_Nat_Onat),c_Groups_Otimes__class_Otimes(tc_Int_Oint)),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint))),B))),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(c_Int_Onat,c_Int_OPls)),C)))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),C)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Nat__Transfer_Otsub(hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),C),hAPP(c_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)))).
% 6.43/6.62
% 6.43/6.62 ======= end of input processing =======
% 6.43/6.63
% 6.43/6.63 SEGMENTATION FAULT!! This is probably caused by a
% 6.43/6.63 bug in Otter. Please send copy of the input file to
% 6.43/6.63 otter@mcs.anl.gov, let us know what version of Otter you are
% 6.43/6.63 using, and send any other info that might be useful.
% 6.43/6.63
% 6.43/6.63
% 6.43/6.63 SEGMENTATION FAULT!! This is probably caused by a
% 6.43/6.63 bug in Otter. Please send copy of the input file to
% 6.43/6.63 otter@mcs.anl.gov, let us know what version of Otter you are
% 6.43/6.63 using, and send any other info that might be useful.
% 6.43/6.63
% 6.43/6.63
% 6.43/6.63 The job finished Sun Jun 5 03:08:39 2022
%------------------------------------------------------------------------------