TSTP Solution File: SWW342+1 by SOS---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : SWW342+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Thu Jul 21 01:26:38 EDT 2022
% Result : Unknown 12.13s 12.41s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09 % Problem : SWW342+1 : TPTP v8.1.0. Released v5.2.0.
% 0.05/0.10 % Command : sos-script %s
% 0.09/0.29 % Computer : n026.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 600
% 0.09/0.29 % DateTime : Mon Jun 6 09:57:45 EDT 2022
% 0.09/0.30 % CPUTime :
% 2.26/2.52 ----- Otter 3.2, August 2001 -----
% 2.26/2.52 The process was started by sandbox2 on n026.cluster.edu,
% 2.26/2.52 Mon Jun 6 09:57:46 2022
% 2.26/2.52 The command was "./sos". The process ID is 7439.
% 2.26/2.52
% 2.26/2.52 set(prolog_style_variables).
% 2.26/2.52 set(auto).
% 2.26/2.52 dependent: set(auto1).
% 2.26/2.52 dependent: set(process_input).
% 2.26/2.52 dependent: clear(print_kept).
% 2.26/2.52 dependent: clear(print_new_demod).
% 2.26/2.52 dependent: clear(print_back_demod).
% 2.26/2.52 dependent: clear(print_back_sub).
% 2.26/2.52 dependent: set(control_memory).
% 2.26/2.52 dependent: assign(max_mem, 12000).
% 2.26/2.52 dependent: assign(pick_given_ratio, 4).
% 2.26/2.52 dependent: assign(stats_level, 1).
% 2.26/2.52 dependent: assign(pick_semantic_ratio, 3).
% 2.26/2.52 dependent: assign(sos_limit, 5000).
% 2.26/2.52 dependent: assign(max_weight, 60).
% 2.26/2.52 clear(print_given).
% 2.26/2.52
% 2.26/2.52 formula_list(usable).
% 2.26/2.52
% 2.26/2.52 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=8.
% 2.26/2.52
% 2.26/2.52 This ia a non-Horn set with equality. The strategy will be
% 2.26/2.52 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 2.26/2.52 unit deletion, with positive clauses in sos and nonpositive
% 2.26/2.52 clauses in usable.
% 2.26/2.52
% 2.26/2.52 dependent: set(knuth_bendix).
% 2.26/2.52 dependent: set(para_from).
% 2.26/2.52 dependent: set(para_into).
% 2.26/2.52 dependent: clear(para_from_right).
% 2.26/2.52 dependent: clear(para_into_right).
% 2.26/2.52 dependent: set(para_from_vars).
% 2.26/2.52 dependent: set(eq_units_both_ways).
% 2.26/2.52 dependent: set(dynamic_demod_all).
% 2.26/2.52 dependent: set(dynamic_demod).
% 2.26/2.52 dependent: set(order_eq).
% 2.26/2.52 dependent: set(back_demod).
% 2.26/2.52 dependent: set(lrpo).
% 2.26/2.52 dependent: set(hyper_res).
% 2.26/2.52 dependent: set(unit_deletion).
% 2.26/2.52 dependent: set(factor).
% 2.26/2.52
% 2.26/2.52 ------------> process usable:
% 2.26/2.52 Following clause subsumed by 18 during input processing: 0 [] {-} -hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OSemi(A,B)))|hBOOL(hAPP(c_Com_OWT,A)).
% 2.26/2.52 Following clause subsumed by 19 during input processing: 0 [] {-} -hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OSemi(A,B)))|hBOOL(hAPP(c_Com_OWT,B)).
% 2.26/2.52 Following clause subsumed by 16 during input processing: 0 [] {-} -hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OCond(A,B,C)))|hBOOL(hAPP(c_Com_OWT,B)).
% 2.26/2.52 Following clause subsumed by 17 during input processing: 0 [] {-} -hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OCond(A,B,C)))|hBOOL(hAPP(c_Com_OWT,C)).
% 2.26/2.52 Following clause subsumed by 22 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))).
% 2.26/2.52 Following clause subsumed by 23 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))).
% 2.26/2.52 Following clause subsumed by 13 during input processing: 0 [] {-} -c_Natural_Oevaln(c_Com_Ocom_OCond(A,B,C),D,E,F)|hBOOL(hAPP(A,D))|c_Natural_Oevaln(C,D,E,F).
% 2.26/2.52 Following clause subsumed by 14 during input processing: 0 [] {-} -c_Natural_Oevaln(c_Com_Ocom_OCond(A,B,C),D,E,F)|c_Natural_Oevaln(B,D,E,F)| -hBOOL(hAPP(A,D)).
% 2.26/2.52 Following clause subsumed by 15 during input processing: 0 [] {-} -c_Natural_Oevaln(c_Com_Ocom_OCond(A,B,C),D,E,F)|c_Natural_Oevaln(B,D,E,F)|c_Natural_Oevaln(C,D,E,F).
% 2.26/2.52 Following clause subsumed by 12 during input processing: 0 [] {-} c_Natural_Oevaln(c_Com_Ocom_OCond(A,B,C),D,E,F)| -hBOOL(hAPP(A,D))| -c_Natural_Oevaln(B,D,E,F).
% 2.26/2.52 Following clause subsumed by 11 during input processing: 0 [] {-} c_Natural_Oevaln(c_Com_Ocom_OCond(A,B,C),D,E,F)|hBOOL(hAPP(A,D))| -c_Natural_Oevaln(C,D,E,F).
% 2.26/2.52 Following clause subsumed by 13 during input processing: 0 [] {-} -c_Natural_Oevaln(c_Com_Ocom_OCond(A,B,C),D,E,F)|hBOOL(hAPP(A,D))|c_Natural_Oevaln(C,D,E,F).
% 2.26/2.52 Following clause subsumed by 14 during input processing: 0 [] {-} -c_Natural_Oevaln(c_Com_Ocom_OCond(A,B,C),D,E,F)|c_Natural_Oevaln(B,D,E,F)| -hBOOL(hAPP(A,D)).
% 2.26/2.52 Following clause subsumed by 15 during input processing: 0 [] {-} -c_Natural_Oevaln(c_Com_Ocom_OCond(A,B,C),D,E,F)|c_Natural_Oevaln(B,D,E,F)|c_Natural_Oevaln(C,D,E,F).
% 2.26/2.52 Following clause subsumed by 12 during input processing: 0 [] {-} c_Natural_Oevaln(c_Com_Ocom_OCond(A,B,C),D,E,F)| -hBOOL(hAPP(A,D))| -c_Natural_Oevaln(B,D,E,F).
% 2.26/2.52 Following clause subsumed by 11 during input processing: 0 [] {-} c_Natural_Oevaln(c_Com_Ocom_OCond(A,B,C),D,E,F)|hBOOL(hAPP(A,D))| -c_Natural_Oevaln(C,D,E,F).
% 2.26/2.52 Following clause subsumed by 10 during input processing: 0 [] {-} c_Natural_Oevaln(c_Com_Ocom_OSemi(A,B),C,D,E)| -c_Natural_Oevaln(A,C,D,F)| -c_Natural_Oevaln(B,F,D,E).
% 2.26/2.52 Following clause subsumed by 40 during input processing: 0 [flip.1] {-} c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OSKIP.
% 2.26/2.52 Following clause subsumed by 41 during input processing: 0 [flip.1] {-} c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OSKIP.
% 2.26/2.52 Following clause subsumed by 45 during input processing: 0 [] {-} hAPP(c_Nat_OSuc,A)!=A.
% 2.26/2.52 Following clause subsumed by 46 during input processing: 0 [] {-} hAPP(c_Nat_OSuc,A)!=hAPP(c_Nat_OSuc,B)|A=B.
% 2.26/2.52 Following clause subsumed by 48 during input processing: 0 [] {-} -hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OLocal(A,B,C)))|hBOOL(hAPP(c_Com_OWT,C)).
% 2.26/2.52 Following clause subsumed by 66 during input processing: 0 [] {-} hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OLocal(A,B,C)))| -hBOOL(hAPP(c_Com_OWT,C)).
% 2.26/2.52 Following clause subsumed by 76 during input processing: 0 [] {-} c_Com_Ocom_OAss(A,B)!=c_Com_Ocom_OSKIP.
% 2.26/2.52 Following clause subsumed by 82 during input processing: 0 [] {-} c_Com_Ocom_OCall(A,B,C)!=c_Com_Ocom_OSKIP.
% 2.26/2.52 Following clause subsumed by 84 during input processing: 0 [] {-} c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OSKIP.
% 2.26/2.52 Following clause subsumed by 86 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))).
% 2.26/2.52 Following clause subsumed by 88 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))).
% 2.26/2.52 Following clause subsumed by 90 during input processing: 0 [] {-} c_Natural_Oevaln(c_Com_Ocom_OWhile(A,B),C,D,E)| -hBOOL(hAPP(A,C))| -c_Natural_Oevaln(B,C,D,F)| -c_Natural_Oevaln(c_Com_Ocom_OWhile(A,B),F,D,E).
% 2.26/2.52 Following clause subsumed by 89 during input processing: 0 [] {-} -hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OWhile(A,B)))|hBOOL(hAPP(c_Com_OWT,B)).
% 2.26/2.52 Following clause subsumed by 111 during input processing: 0 [] {-} -hBOOL(hAPP(c_Com_OWT,A))|hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OWhile(B,A))).
% 2.26/2.52 Following clause subsumed by 118 during input processing: 0 [flip.1] {-} hAPP(c_Com_Ocom_OBODY,A)!=c_Com_Ocom_OSKIP.
% 2.26/2.52 Following clause subsumed by 129 during input processing: 0 [flip.1] {-} c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OSKIP.
% 2.26/2.52 Following clause subsumed by 98 during input processing: 0 [] {-} -c_Natural_Oevaln(c_Com_Ocom_OWhile(A,B),C,D,E)|E=C|hBOOL(hAPP(A,C)).
% 2.26/2.52 Following clause subsumed by 138 during input processing: 0 [] {-} c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,A),B,hAPP(c_Nat_OSuc,C),D)| -c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,A)),B,C,D).
% 2.26/2.52 Following clause subsumed by 153 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)).
% 2.26/2.52 Following clause subsumed by 154 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)).
% 2.26/2.52 Following clause subsumed by 163 during input processing: 0 [] {-} hAPP(c_Nat_OSuc,A)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 2.26/2.52 Following clause subsumed by 163 during input processing: 0 [] {-} hAPP(c_Nat_OSuc,A)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 2.26/2.52 Following clause subsumed by 164 during input processing: 0 [] {-} c_Groups_Ozero__class_Ozero(tc_Nat_Onat)!=hAPP(c_Nat_OSuc,A).
% 2.26/2.52 Following clause subsumed by 164 during input processing: 0 [] {-} c_Groups_Ozero__class_Ozero(tc_Nat_Onat)!=hAPP(c_Nat_OSuc,A).
% 2.26/2.52 Following clause subsumed by 166 during input processing: 0 [] {-} -c_Natural_Oevaln(A,B,C,D)|hBOOL(hAPP(hAPP(c_Natural_Oevalc(A),B),D)).
% 2.26/2.52 Following clause subsumed by 145 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)).
% 2.26/2.53 Following clause subsumed by 146 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)).
% 2.26/2.53 Following clause subsumed by 147 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)).
% 2.26/2.53 Following clause subsumed by 148 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)).
% 2.26/2.53 Following clause subsumed by 149 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)).
% 2.26/2.53 Following clause subsumed by 150 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)).
% 2.26/2.53 Following clause subsumed by 146 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)).
% 2.26/2.53 Following clause subsumed by 147 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)).
% 2.26/2.53 Following clause subsumed by 148 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)).
% 2.26/2.53 Following clause subsumed by 149 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)).
% 2.26/2.53 Following clause subsumed by 150 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)).
% 2.26/2.53 Following clause subsumed by 151 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)).
% 2.26/2.53 Following clause subsumed by 233 during input processing: 0 [] {-} -class_Rings_Ocomm__semiring__1(A)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),C)),D)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),C),D)).
% 2.26/2.53 Following clause subsumed by 236 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.
% 2.26/2.53 Following clause subsumed by 238 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.
% 2.26/2.53 Following clause subsumed by 265 during input processing: 0 [] {-} A!=hAPP(c_Option_Ooption_OSome(B),C)|A!=c_Option_Ooption_ONone(B).
% 2.26/2.53 Following clause subsumed by 266 during input processing: 0 [flip.1] {-} hAPP(c_Option_Ooption_OSome(A),B)!=c_Option_Ooption_ONone(A).
% 2.26/2.53 Following clause subsumed by 170 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(A,B)),C),D))|D=C|hBOOL(hAPP(A,C)).
% 2.26/2.53 Following clause subsumed by 286 during input processing: 0 [] {-} A!=B| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),B)).
% 2.26/2.53 Following clause subsumed by 287 during input processing: 0 [] {-} A!=B| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B),A)).
% 2.26/2.53 Following clause subsumed by 288 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),A)).
% 2.26/2.53 Following clause subsumed by 289 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)).
% 2.26/2.53 Following clause subsumed by 291 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)).
% 2.26/2.53 Following clause subsumed by 284 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 2.26/2.53 Following clause subsumed by 296 during input processing: 0 [] {-} A!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),A)).
% 2.26/2.53 Following clause subsumed by 284 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 2.26/2.53 Following clause subsumed by 285 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)).
% 2.26/2.53 Following clause subsumed by 298 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.
% 2.26/2.53 Following clause subsumed by 300 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.
% 2.26/2.53 Following clause subsumed by 299 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))).
% 2.26/2.53 Following clause subsumed by 298 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.
% 2.26/2.53 Following clause subsumed by 301 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)).
% 2.26/2.53 Following clause subsumed by 327 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).
% 2.26/2.53 Following clause subsumed by 311 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)).
% 2.26/2.53 Following clause subsumed by 310 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)).
% 2.26/2.53 Following clause subsumed by 338 during input processing: 0 [] {-} hAPP(c_Sum__Type_OInl(A,B),C)!=hAPP(c_Sum__Type_OInr(B,A),D).
% 2.26/2.53 Following clause subsumed by 339 during input processing: 0 [] {-} hAPP(c_Sum__Type_OInr(A,B),C)!=hAPP(c_Sum__Type_OInl(B,A),D).
% 2.26/2.53 Following clause subsumed by 311 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))).
% 2.26/2.53 Following clause subsumed by 310 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))).
% 2.26/2.53 Following clause subsumed by 356 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))).
% 2.26/2.53 Following clause subsumed by 355 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)).
% 2.26/2.53 Following clause subsumed by 360 during input processing: 0 [] {-} hAPP(c_Sum__Type_OInr(A,B),C)!=hAPP(c_Sum__Type_OInr(A,B),D)|C=D.
% 2.26/2.53 Following clause subsumed by 362 during input processing: 0 [] {-} hAPP(c_Sum__Type_OInl(A,B),C)!=hAPP(c_Sum__Type_OInl(A,B),D)|C=D.
% 2.26/2.53 Following clause subsumed by 347 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)).
% 2.26/2.53 Following clause subsumed by 348 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)).
% 2.26/2.53 Following clause subsumed by 398 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).
% 2.26/2.53 Following clause subsumed by 402 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.
% 2.26/2.53 Following clause subsumed by 401 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)).
% 2.26/2.53 Following clause subsumed by 401 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))).
% 2.26/2.53 Following clause subsumed by 399 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)).
% 2.26/2.53 Following clause subsumed by 424 during input processing: 0 [flip.2] {-} -class_Groups_Olinordered__ab__group__add(A)|hAPP(c_Groups_Ouminus__class_Ouminus(A),B)!=B|B=c_Groups_Ozero__class_Ozero(A).
% 2.26/2.53 Following clause subsumed by 425 during input processing: 0 [flip.2] {-} -class_Groups_Olinordered__ab__group__add(A)|hAPP(c_Groups_Ouminus__class_Ouminus(A),B)=B|B!=c_Groups_Ozero__class_Ozero(A).
% 2.26/2.53 Following clause subsumed by 431 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))).
% 2.26/2.53 Following clause subsumed by 432 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)).
% 2.26/2.53 Following clause subsumed by 440 during input processing: 0 [] {-} -class_Rings_Ono__zero__divisors(A)|B=c_Groups_Ozero__class_Ozero(A)|C=c_Groups_Ozero__class_Ozero(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)!=c_Groups_Ozero__class_Ozero(A).
% 2.26/2.54 Following clause subsumed by 451 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)).
% 2.26/2.54 Following clause subsumed by 452 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)).
% 2.26/2.54 Following clause subsumed by 453 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)).
% 2.26/2.54 Following clause subsumed by 472 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)).
% 2.26/2.54 Following clause subsumed by 478 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))).
% 2.26/2.54 Following clause subsumed by 485 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)).
% 2.26/2.54 Following clause subsumed by 472 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)).
% 2.26/2.54 Following clause subsumed by 473 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)).
% 2.26/2.54 Following clause subsumed by 505 during input processing: 0 [flip.2] {-} -class_Int_Oring__char__0(A)|hAPP(c_Int_Oring__1__class_Oof__int(A),B)!=c_Groups_Ozero__class_Ozero(A)|B=c_Groups_Ozero__class_Ozero(tc_Int_Oint).
% 2.26/2.54 Following clause subsumed by 506 during input processing: 0 [flip.2] {-} -class_Int_Oring__char__0(A)|hAPP(c_Int_Oring__1__class_Oof__int(A),B)=c_Groups_Ozero__class_Ozero(A)|B!=c_Groups_Ozero__class_Ozero(tc_Int_Oint).
% 2.36/2.54 Following clause subsumed by 514 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)).
% 2.36/2.54 Following clause subsumed by 373 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.
% 2.36/2.54 Following clause subsumed by 374 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.
% 2.36/2.54 Following clause subsumed by 531 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(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)).
% 2.36/2.54 Following clause subsumed by 561 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),A),B))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),c_Groups_Oone__class_Oone(tc_Int_Oint))),B)).
% 2.36/2.54 Following clause subsumed by 563 during input processing: 0 [] {-} -class_Rings_Ozero__neq__one(A)|c_Groups_Ozero__class_Ozero(A)!=c_Groups_Oone__class_Oone(A).
% 2.36/2.54 Following clause subsumed by 570 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)).
% 2.36/2.54 Following clause subsumed by 572 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)).
% 2.36/2.54 Following clause subsumed by 581 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.
% 2.36/2.54 Following clause subsumed by 587 during input processing: 0 [] {-} -class_Groups_Oordered__ab__group__add(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(c_Groups_Ouminus__class_Ouminus(A),B)),hAPP(c_Groups_Ouminus__class_Ouminus(A),C)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),C),B)).
% 2.36/2.54 Following clause subsumed by 589 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)).
% 2.36/2.54 Following clause subsumed by 590 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))).
% 2.36/2.54 Following clause subsumed by 619 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__eq(A),c_Groups_Ozero__class_Ozero(A)),C))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),c_Groups_Ozero__class_Ozero(A)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),C))).
% 2.36/2.54 Following clause subsumed by 642 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))).
% 2.36/2.55 Following clause subsumed by 643 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))).
% 2.36/2.55 Following clause subsumed by 641 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))).
% 2.36/2.55 Following clause subsumed by 642 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))).
% 2.36/2.55 Following clause subsumed by 670 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))).
% 2.36/2.55 Following clause subsumed by 672 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)).
% 2.36/2.55 Following clause subsumed by 671 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)).
% 2.36/2.55 Following clause subsumed by 676 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)).
% 2.36/2.55 Following clause subsumed by 687 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.
% 2.36/2.55 Following clause subsumed by 688 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.
% 2.36/2.55 Following clause subsumed by 706 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))).
% 2.36/2.55 Following clause subsumed by 707 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))).
% 2.36/2.55 Following clause subsumed by 733 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),A),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|hAPP(c_Int_Onat,A)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 2.36/2.55 Following clause subsumed by 736 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.
% 2.36/2.55 Following clause subsumed by 516 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)).
% 2.36/2.55 Following clause subsumed by 516 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)).
% 2.36/2.55 Following clause subsumed by 746 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)).
% 2.36/2.55 Following clause subsumed by 581 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.
% 2.36/2.55 Following clause subsumed by 760 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),A),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))|A!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 2.36/2.55 Following clause subsumed by 763 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).
% 2.36/2.55 Following clause subsumed by 764 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)).
% 2.36/2.55 Following clause subsumed by 760 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),A),hAPP(c_Nat_OSuc,B)))|A!=hAPP(c_Nat_OSuc,B).
% 2.36/2.55 Following clause subsumed by 769 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)).
% 2.36/2.55 Following clause subsumed by 286 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),B))|A!=B.
% 2.36/2.55 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(tc_Nat_Onat),A),B))|A=B.
% 2.36/2.55 Following clause subsumed by 769 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)).
% 2.36/2.55 Following clause subsumed by 760 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),A),B))|A!=B.
% 2.36/2.55 Following clause subsumed by 769 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)).
% 2.36/2.55 Following clause subsumed by 770 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)).
% 2.36/2.55 Following clause subsumed by 769 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)).
% 2.36/2.55 Following clause subsumed by 760 during input processing: 0 [] {-} A!=B|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),A),B)).
% 2.36/2.55 Following clause subsumed by 772 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))).
% 2.36/2.55 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),C),B))).
% 2.36/2.55 Following clause subsumed by 781 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)).
% 2.36/2.55 Following clause subsumed by 780 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)).
% 2.36/2.55 Following clause subsumed by 785 during input processing: 0 [flip.1] {-} hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B)!=c_Groups_Oone__class_Oone(tc_Nat_Onat)|A=c_Groups_Oone__class_Oone(tc_Nat_Onat).
% 2.36/2.55 Following clause subsumed by 786 during input processing: 0 [flip.1] {-} hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B)!=c_Groups_Oone__class_Oone(tc_Nat_Onat)|B=c_Groups_Oone__class_Oone(tc_Nat_Onat).
% 2.36/2.55 Following clause subsumed by 787 during input processing: 0 [flip.1] {-} hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B)=c_Groups_Oone__class_Oone(tc_Nat_Onat)|A!=c_Groups_Oone__class_Oone(tc_Nat_Onat)|B!=c_Groups_Oone__class_Oone(tc_Nat_Onat).
% 2.36/2.55 Following clause subsumed by 783 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)).
% 2.36/2.55 Following clause subsumed by 791 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)).
% 2.36/2.55 Following clause subsumed by 790 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)).
% 2.36/2.55 Following clause subsumed by 793 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),A),B))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),hAPP(c_Nat_OSuc,B))).
% 2.36/2.55 Following clause subsumed by 790 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)).
% 2.36/2.55 Following clause subsumed by 300 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),A),B))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B),hAPP(c_Nat_OSuc,A)))|B!=A.
% 2.36/2.56 Following clause subsumed by 791 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)).
% 2.36/2.56 Following clause subsumed by 783 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)).
% 2.36/2.56 Following clause subsumed by 798 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)).
% 2.36/2.56 Following clause subsumed by 799 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)).
% 2.36/2.56 Following clause subsumed by 789 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(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),A))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B),C)).
% 2.36/2.56 Following clause subsumed by 783 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)).
% 2.36/2.56 Following clause subsumed by 784 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)).
% 2.36/2.56 Following clause subsumed by 580 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.
% 2.36/2.56 Following clause subsumed by 582 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).
% 2.36/2.56 Following clause subsumed by 581 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.
% 2.36/2.56 Following clause subsumed by 676 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)).
% 2.36/2.56 Following clause subsumed by 671 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)).
% 2.36/2.56 Following clause subsumed by 811 during input processing: 0 [] {-} -class_Lattices_Oboolean__algebra(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(c_Groups_Ouminus__class_Ouminus(A),B)),hAPP(c_Groups_Ouminus__class_Ouminus(A),C)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),C),B)).
% 2.36/2.56 Following clause subsumed by 818 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))).
% 2.36/2.56 Following clause subsumed by 823 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.
% 2.36/2.56 Following clause subsumed by 821 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.
% 2.36/2.56 Following clause subsumed by 823 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.
% 2.36/2.56 Following clause subsumed by 823 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.
% 2.36/2.56 Following clause subsumed by 818 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))).
% 2.36/2.56 Following clause subsumed by 820 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)).
% 2.36/2.56 Following clause subsumed by 832 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.
% 2.36/2.56 Following clause subsumed by 833 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),C))|B!=C.
% 2.36/2.56 Following clause subsumed by 832 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)).
% 2.36/2.56 Following clause subsumed by 832 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.
% 2.36/2.56 Following clause subsumed by 833 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.
% 2.36/2.56 Following clause subsumed by 832 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)).
% 2.36/2.56 Following clause subsumed by 837 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)).
% 2.36/2.56 Following clause subsumed by 836 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),C))|B!=C.
% 2.36/2.56 Following clause subsumed by 837 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)).
% 2.36/2.56 Following clause subsumed by 837 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)).
% 2.36/2.56 Following clause subsumed by 832 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)).
% 2.36/2.56 Following clause subsumed by 846 during input processing: 0 [] {-} -class_Lattices_Oab__semigroup__idem__mult(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),B)=B.
% 2.36/2.56 Following clause subsumed by 852 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)).
% 2.36/2.56 Following clause subsumed by 853 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)).
% 2.36/2.56 Following clause subsumed by 852 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)).
% 2.36/2.56 Following clause subsumed by 836 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),C))|B!=C.
% 2.36/2.56 Following clause subsumed by 855 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.
% 2.36/2.56 Following clause subsumed by 854 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)).
% 2.36/2.56 Following clause subsumed by 821 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),C))|B!=C.
% 2.36/2.56 Following clause subsumed by 852 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)).
% 2.36/2.56 Following clause subsumed by 852 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)).
% 2.36/2.56 Following clause subsumed by 855 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)).
% 2.36/2.56 Following clause subsumed by 817 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)).
% 2.36/2.56 Following clause subsumed by 853 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)).
% 2.36/2.56 Following clause subsumed by 856 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)).
% 2.36/2.56 Following clause subsumed by 859 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.
% 2.36/2.56 Following clause subsumed by 833 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.
% 2.36/2.56 Following clause subsumed by 855 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.
% 2.36/2.56 Following clause subsumed by 855 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),C))|B=C|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),C)).
% 2.36/2.56 Following clause subsumed by 867 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))).
% 2.36/2.56 Following clause subsumed by 887 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).
% 2.36/2.58 Following clause subsumed by 889 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).
% 2.36/2.58 Following clause subsumed by 896 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).
% 2.36/2.58 Following clause subsumed by 919 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))).
% 2.36/2.58 Following clause subsumed by 927 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))).
% 2.36/2.58 Following clause subsumed by 920 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)).
% 2.36/2.58 Following clause subsumed by 929 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))).
% 2.36/2.58 Following clause subsumed by 936 during input processing: 0 [] {-} -class_Rings_Olinordered__idom(A)|c_Groups_Osgn__class_Osgn(A,B)=c_Groups_Oone__class_Oone(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),B)).
% 2.36/2.58 Following clause subsumed by 1069 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),A))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B))|hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(c_Int_Onat,A)),hAPP(c_Int_Onat,B))=hAPP(c_Int_Onat,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),A),B)).
% 2.36/2.58 Following clause subsumed by 1076 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),A),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),A),B)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 2.36/2.58 Following clause subsumed by 1082 during input processing: 0 [] {-} -class_Divides_Osemiring__div(A)|B=c_Groups_Ozero__class_Ozero(A)|hAPP(hAPP(c_Divides_Odiv__class_Odiv(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D))=hAPP(hAPP(c_Divides_Odiv__class_Odiv(A),C),D).
% 2.36/2.58 Following clause subsumed by 1104 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),A))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),A),B)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B),A))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B)).
% 2.36/2.58 Following clause subsumed by 1099 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),A))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),A),B))|hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),A),B)=c_Groups_Ozero__class_Ozero(tc_Int_Oint).
% 2.36/2.59 Following clause subsumed by 1100 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),A),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B),A))|hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),A),B)=c_Groups_Ozero__class_Ozero(tc_Int_Oint).
% 2.36/2.59 Following clause subsumed by 1061 during input processing: 0 [] {-} hBOOL(hAPP(A,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),B),C)))| -hBOOL(hAPP(A,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))|C!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 2.36/2.59 Following clause subsumed by 1144 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)).
% 2.36/2.59 Following clause subsumed by 1124 during input processing: 0 [flip.2] {-} -class_Divides_Osemiring__div(A)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(hAPP(c_Divides_Odiv__class_Odiv(A),B),C)),C)),c_Divides_Odiv__class_Omod(A,B,C))=B.
% 2.36/2.59 Following clause subsumed by 1064 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.
% 2.36/2.59 Following clause subsumed by 1229 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)).
% 2.36/2.59 Following clause subsumed by 1243 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),A),B))|hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),C),B)),A)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),C),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),B),A)).
% 2.36/2.59 Following clause subsumed by 1263 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))).
% 2.36/2.59 Following clause subsumed by 1264 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)).
% 2.36/2.59 Following clause subsumed by 924 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).
% 2.36/2.59 Following clause subsumed by 925 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).
% 2.36/2.59 Following clause subsumed by 1252 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).
% 2.36/2.59 Following clause subsumed by 1288 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.
% 2.36/2.59 Following clause subsumed by 1070 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),A))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B),A))|hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),B),A)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 2.42/2.60 Following clause subsumed by 1295 during input processing: 0 [flip.3] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),A))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B),A))|hAPP(c_Nat_OSuc,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),B),A)),A))=hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),B),A).
% 2.42/2.60 Following clause subsumed by 584 during input processing: 0 [] {-} A!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 2.42/2.60 Following clause subsumed by 1288 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).
% 2.42/2.60 Following clause subsumed by 1313 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)).
% 2.42/2.60 Following clause subsumed by 1353 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)).
% 2.42/2.60 Following clause subsumed by 1352 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)).
% 2.42/2.60 Following clause subsumed by 853 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))).
% 2.42/2.60 Following clause subsumed by 852 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))).
% 2.42/2.60 Following clause subsumed by 1360 during input processing: 0 [flip.2] {-} -class_Rings_Ocomm__semiring__1(A)|hAPP(hAPP(c_Power_Opower__class_Opower(A),B),hAPP(c_Nat_OSuc,C))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C)).
% 2.42/2.60 Following clause subsumed by 1372 during input processing: 0 [] {-} -class_Int_Onumber__ring(A)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),hAPP(c_Int_Onumber__class_Onumber__of(A),B)),hAPP(c_Int_Onumber__class_Onumber__of(A),C))=hAPP(c_Int_Onumber__class_Onumber__of(A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B),C)).
% 2.42/2.60 Following clause subsumed by 1378 during input processing: 0 [flip.2] {-} -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)).
% 2.42/2.60 Following clause subsumed by 1382 during input processing: 0 [flip.2] {-} -class_Int_Onumber__ring(A)|hAPP(c_Int_Onumber__class_Onumber__of(A),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),B))=hAPP(c_Groups_Ouminus__class_Ouminus(A),hAPP(c_Int_Onumber__class_Onumber__of(A),B)).
% 2.42/2.61 Following clause subsumed by 1417 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)).
% 2.42/2.61 Following clause subsumed by 737 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)).
% 2.42/2.61 Following clause subsumed by 738 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))).
% 2.42/2.61 Following clause subsumed by 739 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))).
% 2.42/2.61 Following clause subsumed by 1436 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)).
% 2.42/2.61 Following clause subsumed by 1473 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)).
% 2.42/2.61 Following clause subsumed by 1472 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)).
% 2.42/2.61 Following clause subsumed by 1484 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)).
% 2.42/2.61 Following clause subsumed by 1523 during input processing: 0 [flip.2] {-} -class_Int_Onumber__ring(A)|hAPP(c_Int_Onumber__class_Onumber__of(A),c_Int_OMin)=hAPP(c_Groups_Ouminus__class_Ouminus(A),c_Groups_Oone__class_Oone(A)).
% 2.42/2.61 Following clause subsumed by 1525 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).
% 2.42/2.61 Following clause subsumed by 1311 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).
% 2.42/2.61 Following clause subsumed by 1545 during input processing: 0 [flip.1] {-} c_Int_OPls!=c_Int_OMin.
% 2.42/2.61 Following clause subsumed by 1550 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).
% 2.42/2.62 Following clause subsumed by 1569 during input processing: 0 [] {-} hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),A)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),A),c_Int_OPls)).
% 2.42/2.62 Following clause subsumed by 1571 during input processing: 0 [] {-} hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),A)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),A),c_Int_OPls)).
% 2.42/2.62 Following clause subsumed by 1603 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)).
% 2.42/2.62 Following clause subsumed by 1604 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)).
% 2.42/2.62 Following clause subsumed by 1605 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)).
% 2.42/2.62 Following clause subsumed by 1606 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)).
% 2.42/2.62 Following clause subsumed by 1608 during input processing: 0 [] {-} c_Int_OBit1(A)!=c_Int_OPls.
% 2.42/2.62 Following clause subsumed by 1635 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).
% 2.42/2.62 Following clause subsumed by 1665 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)).
% 2.42/2.62 Following clause subsumed by 1666 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)).
% 2.42/2.62 Following clause subsumed by 1667 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)).
% 2.42/2.62 Following clause subsumed by 1668 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)).
% 2.42/2.62 Following clause subsumed by 1677 during input processing: 0 [flip.1] {-} c_Int_OBit0(A)!=c_Int_OMin.
% 2.42/2.62 Following clause subsumed by 1684 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)).
% 2.42/2.62 Following clause subsumed by 1685 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)).
% 2.42/2.62 Following clause subsumed by 1690 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)).
% 2.42/2.62 Following clause subsumed by 1691 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)).
% 2.42/2.62 Following clause subsumed by 1701 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)).
% 2.42/2.62 Following clause subsumed by 1702 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)).
% 2.42/2.64 Following clause subsumed by 1703 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)).
% 2.42/2.64 Following clause subsumed by 1704 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)).
% 2.42/2.64 Following clause subsumed by 1437 during input processing: 0 [] {-} -class_Rings_Oring__1__no__zero__divisors(A)|hAPP(hAPP(c_Power_Opower__class_Opower(A),B),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))!=c_Groups_Ozero__class_Ozero(A)|B=c_Groups_Ozero__class_Ozero(A).
% 2.42/2.64 Following clause subsumed by 1719 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)).
% 2.42/2.64 Following clause subsumed by 1464 during input processing: 0 [] {-} -class_Rings_Olinordered__semidom(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),hAPP(hAPP(c_Power_Opower__class_Opower(A),C),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),c_Groups_Ozero__class_Ozero(A)),C))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),C)).
% 2.42/2.64 Following clause subsumed by 1776 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)))))).
% 2.42/2.64 Following clause subsumed by 1854 during input processing: 0 [] {-} -class_Rings_Odivision__ring(A)|B=c_Groups_Ozero__class_Ozero(A)|hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),C),B)=D|C!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),B).
% 2.42/2.64 Following clause subsumed by 1853 during input processing: 0 [] {-} -class_Rings_Odivision__ring(A)|B=c_Groups_Ozero__class_Ozero(A)|C=hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),D),B)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),B)!=D.
% 2.42/2.64 Following clause subsumed by 1885 during input processing: 0 [] {-} -class_Fields_Olinordered__field(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),B))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),C),B)),D))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),B))).
% 2.42/2.64 Following clause subsumed by 1884 during input processing: 0 [] {-} -class_Fields_Olinordered__field(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),B))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),C),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),D),B)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),B)),D)).
% 2.42/2.64 Following clause subsumed by 1839 during input processing: 0 [] {-} -class_Fields_Ofield__inverse__zero(A)| -class_Int_Onumber(A)|B!=hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),C),hAPP(c_Int_Onumber__class_Onumber__of(A),D))|hAPP(c_Int_Onumber__class_Onumber__of(A),D)=c_Groups_Ozero__class_Ozero(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),hAPP(c_Int_Onumber__class_Onumber__of(A),D))=C.
% 2.42/2.64 Following clause subsumed by 1840 during input processing: 0 [] {-} -class_Fields_Ofield__inverse__zero(A)| -class_Int_Onumber(A)|B!=hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),C),hAPP(c_Int_Onumber__class_Onumber__of(A),D))|hAPP(c_Int_Onumber__class_Onumber__of(A),D)!=c_Groups_Ozero__class_Ozero(A)|B=c_Groups_Ozero__class_Ozero(A).
% 2.42/2.64 Following clause subsumed by 1841 during input processing: 0 [] {-} -class_Fields_Ofield__inverse__zero(A)| -class_Int_Onumber(A)|B=hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),C),hAPP(c_Int_Onumber__class_Onumber__of(A),D))|hAPP(c_Int_Onumber__class_Onumber__of(A),D)!=c_Groups_Ozero__class_Ozero(A)|B!=c_Groups_Ozero__class_Ozero(A).
% 2.42/2.64 Following clause subsumed by 1842 during input processing: 0 [] {-} -class_Fields_Ofield__inverse__zero(A)| -class_Int_Onumber(A)|B=hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),C),hAPP(c_Int_Onumber__class_Onumber__of(A),D))|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),hAPP(c_Int_Onumber__class_Onumber__of(A),D))!=C|hAPP(c_Int_Onumber__class_Onumber__of(A),D)=c_Groups_Ozero__class_Ozero(A).
% 2.42/2.64 Following clause subsumed by 1843 during input processing: 0 [] {-} -class_Fields_Ofield__inverse__zero(A)| -class_Int_Onumber(A)|B=hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),C),hAPP(c_Int_Onumber__class_Onumber__of(A),D))|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),hAPP(c_Int_Onumber__class_Onumber__of(A),D))!=C|B!=c_Groups_Ozero__class_Ozero(A).
% 2.42/2.64 Following clause subsumed by 1839 during input processing: 0 [] {-} -class_Fields_Ofield__inverse__zero(A)| -class_Int_Onumber(A)|hAPP(c_Int_Onumber__class_Onumber__of(A),B)!=hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),C),D)|D=c_Groups_Ozero__class_Ozero(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(c_Int_Onumber__class_Onumber__of(A),B)),D)=C.
% 2.42/2.64 Following clause subsumed by 1840 during input processing: 0 [] {-} -class_Fields_Ofield__inverse__zero(A)| -class_Int_Onumber(A)|hAPP(c_Int_Onumber__class_Onumber__of(A),B)!=hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),C),D)|D!=c_Groups_Ozero__class_Ozero(A)|hAPP(c_Int_Onumber__class_Onumber__of(A),B)=c_Groups_Ozero__class_Ozero(A).
% 2.42/2.64 Following clause subsumed by 1841 during input processing: 0 [] {-} -class_Fields_Ofield__inverse__zero(A)| -class_Int_Onumber(A)|hAPP(c_Int_Onumber__class_Onumber__of(A),B)=hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),C),D)|D!=c_Groups_Ozero__class_Ozero(A)|hAPP(c_Int_Onumber__class_Onumber__of(A),B)!=c_Groups_Ozero__class_Ozero(A).
% 2.42/2.64 Following clause subsumed by 1842 during input processing: 0 [] {-} -class_Fields_Ofield__inverse__zero(A)| -class_Int_Onumber(A)|hAPP(c_Int_Onumber__class_Onumber__of(A),B)=hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),C),D)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(c_Int_Onumber__class_Onumber__of(A),B)),D)!=C|D=c_Groups_Ozero__class_Ozero(A).
% 2.42/2.64 Following clause subsumed by 1843 during input processing: 0 [] {-} -class_Fields_Ofield__inverse__zero(A)| -class_Int_Onumber(A)|hAPP(c_Int_Onumber__class_Onumber__of(A),B)=hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),C),D)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(c_Int_Onumber__class_Onumber__of(A),B)),D)!=C|hAPP(c_Int_Onumber__class_Onumber__of(A),B)!=c_Groups_Ozero__class_Ozero(A).
% 2.42/2.64 Following clause subsumed by 1844 during input processing: 0 [] {-} -class_Fields_Ofield__inverse__zero(A)| -class_Int_Onumber(A)|hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),C)!=hAPP(c_Int_Onumber__class_Onumber__of(A),D)|C=c_Groups_Ozero__class_Ozero(A)|B=hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(c_Int_Onumber__class_Onumber__of(A),D)),C).
% 2.42/2.64 Following clause subsumed by 1845 during input processing: 0 [] {-} -class_Fields_Ofield__inverse__zero(A)| -class_Int_Onumber(A)|hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),C)!=hAPP(c_Int_Onumber__class_Onumber__of(A),D)|C!=c_Groups_Ozero__class_Ozero(A)|hAPP(c_Int_Onumber__class_Onumber__of(A),D)=c_Groups_Ozero__class_Ozero(A).
% 2.42/2.64 Following clause subsumed by 1846 during input processing: 0 [] {-} -class_Fields_Ofield__inverse__zero(A)| -class_Int_Onumber(A)|hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),C)=hAPP(c_Int_Onumber__class_Onumber__of(A),D)|C!=c_Groups_Ozero__class_Ozero(A)|hAPP(c_Int_Onumber__class_Onumber__of(A),D)!=c_Groups_Ozero__class_Ozero(A).
% 2.42/2.65 Following clause subsumed by 1847 during input processing: 0 [] {-} -class_Fields_Ofield__inverse__zero(A)| -class_Int_Onumber(A)|hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),C)=hAPP(c_Int_Onumber__class_Onumber__of(A),D)|B!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(c_Int_Onumber__class_Onumber__of(A),D)),C)|C=c_Groups_Ozero__class_Ozero(A).
% 2.42/2.65 Following clause subsumed by 1848 during input processing: 0 [] {-} -class_Fields_Ofield__inverse__zero(A)| -class_Int_Onumber(A)|hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),C)=hAPP(c_Int_Onumber__class_Onumber__of(A),D)|B!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(c_Int_Onumber__class_Onumber__of(A),D)),C)|hAPP(c_Int_Onumber__class_Onumber__of(A),D)!=c_Groups_Ozero__class_Ozero(A).
% 2.42/2.65 Following clause subsumed by 1844 during input processing: 0 [] {-} -class_Fields_Ofield__inverse__zero(A)| -class_Int_Onumber(A)|hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),hAPP(c_Int_Onumber__class_Onumber__of(A),C))!=D|hAPP(c_Int_Onumber__class_Onumber__of(A),C)=c_Groups_Ozero__class_Ozero(A)|B=hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),hAPP(c_Int_Onumber__class_Onumber__of(A),C)).
% 2.42/2.65 Following clause subsumed by 1845 during input processing: 0 [] {-} -class_Fields_Ofield__inverse__zero(A)| -class_Int_Onumber(A)|hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),hAPP(c_Int_Onumber__class_Onumber__of(A),C))!=D|hAPP(c_Int_Onumber__class_Onumber__of(A),C)!=c_Groups_Ozero__class_Ozero(A)|D=c_Groups_Ozero__class_Ozero(A).
% 2.42/2.65 Following clause subsumed by 1846 during input processing: 0 [] {-} -class_Fields_Ofield__inverse__zero(A)| -class_Int_Onumber(A)|hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),hAPP(c_Int_Onumber__class_Onumber__of(A),C))=D|hAPP(c_Int_Onumber__class_Onumber__of(A),C)!=c_Groups_Ozero__class_Ozero(A)|D!=c_Groups_Ozero__class_Ozero(A).
% 2.42/2.65 Following clause subsumed by 1847 during input processing: 0 [] {-} -class_Fields_Ofield__inverse__zero(A)| -class_Int_Onumber(A)|hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),hAPP(c_Int_Onumber__class_Onumber__of(A),C))=D|B!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),hAPP(c_Int_Onumber__class_Onumber__of(A),C))|hAPP(c_Int_Onumber__class_Onumber__of(A),C)=c_Groups_Ozero__class_Ozero(A).
% 2.42/2.65 Following clause subsumed by 1848 during input processing: 0 [] {-} -class_Fields_Ofield__inverse__zero(A)| -class_Int_Onumber(A)|hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),hAPP(c_Int_Onumber__class_Onumber__of(A),C))=D|B!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),hAPP(c_Int_Onumber__class_Onumber__of(A),C))|D!=c_Groups_Ozero__class_Ozero(A).
% 2.42/2.65 Following clause subsumed by 1925 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.
% 2.42/2.65 Following clause subsumed by 1950 during input processing: 0 [] {-} -class_Fields_Olinordered__field(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),B))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),B)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),C),B)),D)).
% 2.42/2.65 Following clause subsumed by 1948 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))).
% 2.42/2.65 Following clause subsumed by 1888 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),hAPP(c_Int_Onumber__class_Onumber__of(A),C))),D))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),hAPP(c_Int_Onumber__class_Onumber__of(A),C)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),hAPP(c_Int_Onumber__class_Onumber__of(A),C)))).
% 2.42/2.65 Following clause subsumed by 1889 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),hAPP(c_Int_Onumber__class_Onumber__of(A),C))),D))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),hAPP(c_Int_Onumber__class_Onumber__of(A),C)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(c_Int_Onumber__class_Onumber__of(A),C)),c_Groups_Ozero__class_Ozero(A)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),hAPP(c_Int_Onumber__class_Onumber__of(A),C))),B)).
% 2.42/2.65 Following clause subsumed by 1890 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),hAPP(c_Int_Onumber__class_Onumber__of(A),C))),D))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),hAPP(c_Int_Onumber__class_Onumber__of(A),C)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(c_Int_Onumber__class_Onumber__of(A),C)),c_Groups_Ozero__class_Ozero(A)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),D)).
% 2.42/2.65 Following clause subsumed by 1891 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),hAPP(c_Int_Onumber__class_Onumber__of(A),C))),D))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),hAPP(c_Int_Onumber__class_Onumber__of(A),C)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(c_Int_Onumber__class_Onumber__of(A),C)),c_Groups_Ozero__class_Ozero(A)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),D)).
% 2.42/2.65 Following clause subsumed by 1892 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),hAPP(c_Int_Onumber__class_Onumber__of(A),C))),D))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),hAPP(c_Int_Onumber__class_Onumber__of(A),C)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),hAPP(c_Int_Onumber__class_Onumber__of(A),C))),B))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(c_Int_Onumber__class_Onumber__of(A),C)),c_Groups_Ozero__class_Ozero(A))).
% 2.42/2.65 Following clause subsumed by 1893 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),hAPP(c_Int_Onumber__class_Onumber__of(A),C))),D))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),hAPP(c_Int_Onumber__class_Onumber__of(A),C)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),hAPP(c_Int_Onumber__class_Onumber__of(A),C))),B))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),D)).
% 2.42/2.65 Following clause subsumed by 1894 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),hAPP(c_Int_Onumber__class_Onumber__of(A),C))),D))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),hAPP(c_Int_Onumber__class_Onumber__of(A),C))))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),hAPP(c_Int_Onumber__class_Onumber__of(A),C))).
% 2.42/2.65 Following clause subsumed by 1895 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),hAPP(c_Int_Onumber__class_Onumber__of(A),C))),D))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),hAPP(c_Int_Onumber__class_Onumber__of(A),C))))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(c_Int_Onumber__class_Onumber__of(A),C)),c_Groups_Ozero__class_Ozero(A)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),D)).
% 2.42/2.65 Following clause subsumed by 1896 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),hAPP(c_Int_Onumber__class_Onumber__of(A),C))),D))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),hAPP(c_Int_Onumber__class_Onumber__of(A),C))))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),hAPP(c_Int_Onumber__class_Onumber__of(A),C))),B))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(c_Int_Onumber__class_Onumber__of(A),C)),c_Groups_Ozero__class_Ozero(A))).
% 2.42/2.65 Following clause subsumed by 1897 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),hAPP(c_Int_Onumber__class_Onumber__of(A),C))),D))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),hAPP(c_Int_Onumber__class_Onumber__of(A),C))))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),hAPP(c_Int_Onumber__class_Onumber__of(A),C))),B))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),D)).
% 2.42/2.65 Following clause subsumed by 1888 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),C)),hAPP(c_Int_Onumber__class_Onumber__of(A),D)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),C))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(c_Int_Onumber__class_Onumber__of(A),D)),C))).
% 2.42/2.65 Following clause subsumed by 1889 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),C)),hAPP(c_Int_Onumber__class_Onumber__of(A),D)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),C))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),C),c_Groups_Ozero__class_Ozero(A)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(c_Int_Onumber__class_Onumber__of(A),D)),C)),B)).
% 2.42/2.65 Following clause subsumed by 1890 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),C)),hAPP(c_Int_Onumber__class_Onumber__of(A),D)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),C))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),C),c_Groups_Ozero__class_Ozero(A)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),hAPP(c_Int_Onumber__class_Onumber__of(A),D))).
% 2.42/2.65 Following clause subsumed by 1891 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),C)),hAPP(c_Int_Onumber__class_Onumber__of(A),D)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),C))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),C),c_Groups_Ozero__class_Ozero(A)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),hAPP(c_Int_Onumber__class_Onumber__of(A),D))).
% 2.42/2.65 Following clause subsumed by 1892 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),C)),hAPP(c_Int_Onumber__class_Onumber__of(A),D)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),C))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(c_Int_Onumber__class_Onumber__of(A),D)),C)),B))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),C),c_Groups_Ozero__class_Ozero(A))).
% 2.42/2.65 Following clause subsumed by 1893 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),C)),hAPP(c_Int_Onumber__class_Onumber__of(A),D)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),C))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(c_Int_Onumber__class_Onumber__of(A),D)),C)),B))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),hAPP(c_Int_Onumber__class_Onumber__of(A),D))).
% 2.47/2.65 Following clause subsumed by 1894 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),C)),hAPP(c_Int_Onumber__class_Onumber__of(A),D)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(c_Int_Onumber__class_Onumber__of(A),D)),C)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),C)).
% 2.47/2.65 Following clause subsumed by 1895 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),C)),hAPP(c_Int_Onumber__class_Onumber__of(A),D)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(c_Int_Onumber__class_Onumber__of(A),D)),C)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),C),c_Groups_Ozero__class_Ozero(A)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),hAPP(c_Int_Onumber__class_Onumber__of(A),D))).
% 2.47/2.65 Following clause subsumed by 1896 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),C)),hAPP(c_Int_Onumber__class_Onumber__of(A),D)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(c_Int_Onumber__class_Onumber__of(A),D)),C)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(c_Int_Onumber__class_Onumber__of(A),D)),C)),B))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),C),c_Groups_Ozero__class_Ozero(A))).
% 2.47/2.65 Following clause subsumed by 1897 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),C)),hAPP(c_Int_Onumber__class_Onumber__of(A),D)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(c_Int_Onumber__class_Onumber__of(A),D)),C)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(c_Int_Onumber__class_Onumber__of(A),D)),C)),B))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),hAPP(c_Int_Onumber__class_Onumber__of(A),D))).
% 2.47/2.65 Following clause subsumed by 1898 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(c_Int_Onumber__class_Onumber__of(A),B)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),C),D)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),D))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(c_Int_Onumber__class_Onumber__of(A),B)),D)),C)).
% 2.47/2.65 Following clause subsumed by 1899 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(c_Int_Onumber__class_Onumber__of(A),B)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),C),D)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),D))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),D),c_Groups_Ozero__class_Ozero(A)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(c_Int_Onumber__class_Onumber__of(A),B)),D))).
% 2.47/2.65 Following clause subsumed by 1900 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(c_Int_Onumber__class_Onumber__of(A),B)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),C),D)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),D))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),D),c_Groups_Ozero__class_Ozero(A)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(c_Int_Onumber__class_Onumber__of(A),B)),c_Groups_Ozero__class_Ozero(A))).
% 2.47/2.65 Following clause subsumed by 1901 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(c_Int_Onumber__class_Onumber__of(A),B)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),C),D)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),D))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),D),c_Groups_Ozero__class_Ozero(A)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(c_Int_Onumber__class_Onumber__of(A),B)),c_Groups_Ozero__class_Ozero(A))).
% 2.47/2.65 Following clause subsumed by 1902 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(c_Int_Onumber__class_Onumber__of(A),B)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),C),D)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),D))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(c_Int_Onumber__class_Onumber__of(A),B)),D)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),D),c_Groups_Ozero__class_Ozero(A))).
% 2.47/2.65 Following clause subsumed by 1903 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(c_Int_Onumber__class_Onumber__of(A),B)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),C),D)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),D))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(c_Int_Onumber__class_Onumber__of(A),B)),D)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(c_Int_Onumber__class_Onumber__of(A),B)),c_Groups_Ozero__class_Ozero(A))).
% 2.47/2.65 Following clause subsumed by 1904 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(c_Int_Onumber__class_Onumber__of(A),B)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),C),D)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(c_Int_Onumber__class_Onumber__of(A),B)),D)),C))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),D)).
% 2.47/2.65 Following clause subsumed by 1905 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(c_Int_Onumber__class_Onumber__of(A),B)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),C),D)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(c_Int_Onumber__class_Onumber__of(A),B)),D)),C))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),D),c_Groups_Ozero__class_Ozero(A)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(c_Int_Onumber__class_Onumber__of(A),B)),c_Groups_Ozero__class_Ozero(A))).
% 2.47/2.65 Following clause subsumed by 1906 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(c_Int_Onumber__class_Onumber__of(A),B)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),C),D)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(c_Int_Onumber__class_Onumber__of(A),B)),D)),C))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(c_Int_Onumber__class_Onumber__of(A),B)),D)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),D),c_Groups_Ozero__class_Ozero(A))).
% 2.47/2.65 Following clause subsumed by 1907 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(c_Int_Onumber__class_Onumber__of(A),B)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),C),D)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(c_Int_Onumber__class_Onumber__of(A),B)),D)),C))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(c_Int_Onumber__class_Onumber__of(A),B)),D)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(c_Int_Onumber__class_Onumber__of(A),B)),c_Groups_Ozero__class_Ozero(A))).
% 2.47/2.65 Following clause subsumed by 1898 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),C),hAPP(c_Int_Onumber__class_Onumber__of(A),D))))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),hAPP(c_Int_Onumber__class_Onumber__of(A),D)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),hAPP(c_Int_Onumber__class_Onumber__of(A),D))),C)).
% 2.47/2.65 Following clause subsumed by 1899 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),C),hAPP(c_Int_Onumber__class_Onumber__of(A),D))))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),hAPP(c_Int_Onumber__class_Onumber__of(A),D)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(c_Int_Onumber__class_Onumber__of(A),D)),c_Groups_Ozero__class_Ozero(A)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),hAPP(c_Int_Onumber__class_Onumber__of(A),D)))).
% 2.47/2.65 Following clause subsumed by 1900 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),C),hAPP(c_Int_Onumber__class_Onumber__of(A),D))))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),hAPP(c_Int_Onumber__class_Onumber__of(A),D)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(c_Int_Onumber__class_Onumber__of(A),D)),c_Groups_Ozero__class_Ozero(A)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),c_Groups_Ozero__class_Ozero(A))).
% 2.47/2.66 Following clause subsumed by 1901 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),C),hAPP(c_Int_Onumber__class_Onumber__of(A),D))))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),hAPP(c_Int_Onumber__class_Onumber__of(A),D)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(c_Int_Onumber__class_Onumber__of(A),D)),c_Groups_Ozero__class_Ozero(A)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),c_Groups_Ozero__class_Ozero(A))).
% 2.47/2.66 Following clause subsumed by 1902 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),C),hAPP(c_Int_Onumber__class_Onumber__of(A),D))))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),hAPP(c_Int_Onumber__class_Onumber__of(A),D)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),hAPP(c_Int_Onumber__class_Onumber__of(A),D))))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(c_Int_Onumber__class_Onumber__of(A),D)),c_Groups_Ozero__class_Ozero(A))).
% 2.47/2.66 Following clause subsumed by 1903 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),C),hAPP(c_Int_Onumber__class_Onumber__of(A),D))))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),hAPP(c_Int_Onumber__class_Onumber__of(A),D)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),hAPP(c_Int_Onumber__class_Onumber__of(A),D))))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),c_Groups_Ozero__class_Ozero(A))).
% 2.47/2.66 Following clause subsumed by 1904 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),C),hAPP(c_Int_Onumber__class_Onumber__of(A),D))))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),hAPP(c_Int_Onumber__class_Onumber__of(A),D))),C))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),hAPP(c_Int_Onumber__class_Onumber__of(A),D))).
% 2.47/2.66 Following clause subsumed by 1905 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),C),hAPP(c_Int_Onumber__class_Onumber__of(A),D))))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),hAPP(c_Int_Onumber__class_Onumber__of(A),D))),C))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(c_Int_Onumber__class_Onumber__of(A),D)),c_Groups_Ozero__class_Ozero(A)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),c_Groups_Ozero__class_Ozero(A))).
% 2.47/2.66 Following clause subsumed by 1906 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),C),hAPP(c_Int_Onumber__class_Onumber__of(A),D))))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),hAPP(c_Int_Onumber__class_Onumber__of(A),D))),C))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),hAPP(c_Int_Onumber__class_Onumber__of(A),D))))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(c_Int_Onumber__class_Onumber__of(A),D)),c_Groups_Ozero__class_Ozero(A))).
% 2.47/2.66 Following clause subsumed by 1907 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),C),hAPP(c_Int_Onumber__class_Onumber__of(A),D))))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),hAPP(c_Int_Onumber__class_Onumber__of(A),D))),C))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),hAPP(c_Int_Onumber__class_Onumber__of(A),D))))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),c_Groups_Ozero__class_Ozero(A))).
% 2.47/2.66 Following clause subsumed by 1927 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),C),hAPP(c_Int_Onumber__class_Onumber__of(A),D))))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),hAPP(c_Int_Onumber__class_Onumber__of(A),D)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),hAPP(c_Int_Onumber__class_Onumber__of(A),D))),C)).
% 2.47/2.66 Following clause subsumed by 1928 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),C),hAPP(c_Int_Onumber__class_Onumber__of(A),D))))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),hAPP(c_Int_Onumber__class_Onumber__of(A),D)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(c_Int_Onumber__class_Onumber__of(A),D)),c_Groups_Ozero__class_Ozero(A)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),hAPP(c_Int_Onumber__class_Onumber__of(A),D)))).
% 2.47/2.66 Following clause subsumed by 1929 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),C),hAPP(c_Int_Onumber__class_Onumber__of(A),D))))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),hAPP(c_Int_Onumber__class_Onumber__of(A),D)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(c_Int_Onumber__class_Onumber__of(A),D)),c_Groups_Ozero__class_Ozero(A)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),c_Groups_Ozero__class_Ozero(A))).
% 2.47/2.66 Following clause subsumed by 1930 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),C),hAPP(c_Int_Onumber__class_Onumber__of(A),D))))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),hAPP(c_Int_Onumber__class_Onumber__of(A),D)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(c_Int_Onumber__class_Onumber__of(A),D)),c_Groups_Ozero__class_Ozero(A)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),c_Groups_Ozero__class_Ozero(A))).
% 2.47/2.66 Following clause subsumed by 1931 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),C),hAPP(c_Int_Onumber__class_Onumber__of(A),D))))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),hAPP(c_Int_Onumber__class_Onumber__of(A),D)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),hAPP(c_Int_Onumber__class_Onumber__of(A),D))))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(c_Int_Onumber__class_Onumber__of(A),D)),c_Groups_Ozero__class_Ozero(A))).
% 2.47/2.66 Following clause subsumed by 1932 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),C),hAPP(c_Int_Onumber__class_Onumber__of(A),D))))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),hAPP(c_Int_Onumber__class_Onumber__of(A),D)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),hAPP(c_Int_Onumber__class_Onumber__of(A),D))))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),c_Groups_Ozero__class_Ozero(A))).
% 2.47/2.66 Following clause subsumed by 1933 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),C),hAPP(c_Int_Onumber__class_Onumber__of(A),D))))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),hAPP(c_Int_Onumber__class_Onumber__of(A),D))),C))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),hAPP(c_Int_Onumber__class_Onumber__of(A),D))).
% 2.47/2.66 Following clause subsumed by 1934 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),C),hAPP(c_Int_Onumber__class_Onumber__of(A),D))))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),hAPP(c_Int_Onumber__class_Onumber__of(A),D))),C))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(c_Int_Onumber__class_Onumber__of(A),D)),c_Groups_Ozero__class_Ozero(A)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),c_Groups_Ozero__class_Ozero(A))).
% 2.47/2.66 Following clause subsumed by 1935 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),C),hAPP(c_Int_Onumber__class_Onumber__of(A),D))))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),hAPP(c_Int_Onumber__class_Onumber__of(A),D))),C))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),hAPP(c_Int_Onumber__class_Onumber__of(A),D))))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(c_Int_Onumber__class_Onumber__of(A),D)),c_Groups_Ozero__class_Ozero(A))).
% 2.47/2.66 Following clause subsumed by 1936 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),C),hAPP(c_Int_Onumber__class_Onumber__of(A),D))))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),hAPP(c_Int_Onumber__class_Onumber__of(A),D))),C))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),hAPP(c_Int_Onumber__class_Onumber__of(A),D))))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),c_Groups_Ozero__class_Ozero(A))).
% 2.47/2.66 Following clause subsumed by 1927 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(c_Int_Onumber__class_Onumber__of(A),B)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),C),D)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),D))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(c_Int_Onumber__class_Onumber__of(A),B)),D)),C)).
% 2.47/2.66 Following clause subsumed by 1928 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(c_Int_Onumber__class_Onumber__of(A),B)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),C),D)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),D))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),D),c_Groups_Ozero__class_Ozero(A)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(c_Int_Onumber__class_Onumber__of(A),B)),D))).
% 2.47/2.66 Following clause subsumed by 1929 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(c_Int_Onumber__class_Onumber__of(A),B)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),C),D)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),D))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),D),c_Groups_Ozero__class_Ozero(A)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(c_Int_Onumber__class_Onumber__of(A),B)),c_Groups_Ozero__class_Ozero(A))).
% 2.47/2.66 Following clause subsumed by 1930 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(c_Int_Onumber__class_Onumber__of(A),B)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),C),D)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),D))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),D),c_Groups_Ozero__class_Ozero(A)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(c_Int_Onumber__class_Onumber__of(A),B)),c_Groups_Ozero__class_Ozero(A))).
% 2.47/2.66 Following clause subsumed by 1931 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(c_Int_Onumber__class_Onumber__of(A),B)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),C),D)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),D))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(c_Int_Onumber__class_Onumber__of(A),B)),D)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),D),c_Groups_Ozero__class_Ozero(A))).
% 2.47/2.66 Following clause subsumed by 1932 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(c_Int_Onumber__class_Onumber__of(A),B)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),C),D)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),D))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(c_Int_Onumber__class_Onumber__of(A),B)),D)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(c_Int_Onumber__class_Onumber__of(A),B)),c_Groups_Ozero__class_Ozero(A))).
% 2.47/2.66 Following clause subsumed by 1933 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(c_Int_Onumber__class_Onumber__of(A),B)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),C),D)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(c_Int_Onumber__class_Onumber__of(A),B)),D)),C))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),D)).
% 2.47/2.66 Following clause subsumed by 1934 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(c_Int_Onumber__class_Onumber__of(A),B)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),C),D)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(c_Int_Onumber__class_Onumber__of(A),B)),D)),C))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),D),c_Groups_Ozero__class_Ozero(A)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(c_Int_Onumber__class_Onumber__of(A),B)),c_Groups_Ozero__class_Ozero(A))).
% 2.47/2.66 Following clause subsumed by 1935 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(c_Int_Onumber__class_Onumber__of(A),B)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),C),D)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(c_Int_Onumber__class_Onumber__of(A),B)),D)),C))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(c_Int_Onumber__class_Onumber__of(A),B)),D)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),D),c_Groups_Ozero__class_Ozero(A))).
% 2.47/2.66 Following clause subsumed by 1936 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(c_Int_Onumber__class_Onumber__of(A),B)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),C),D)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(c_Int_Onumber__class_Onumber__of(A),B)),D)),C))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(c_Int_Onumber__class_Onumber__of(A),B)),D)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(c_Int_Onumber__class_Onumber__of(A),B)),c_Groups_Ozero__class_Ozero(A))).
% 2.47/2.66 Following clause subsumed by 1937 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),C)),hAPP(c_Int_Onumber__class_Onumber__of(A),D)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),C))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(c_Int_Onumber__class_Onumber__of(A),D)),C))).
% 2.47/2.66 Following clause subsumed by 1938 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),C)),hAPP(c_Int_Onumber__class_Onumber__of(A),D)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),C))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),C),c_Groups_Ozero__class_Ozero(A)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(c_Int_Onumber__class_Onumber__of(A),D)),C)),B)).
% 2.47/2.66 Following clause subsumed by 1939 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),C)),hAPP(c_Int_Onumber__class_Onumber__of(A),D)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),C))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),C),c_Groups_Ozero__class_Ozero(A)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),c_Groups_Ozero__class_Ozero(A)),hAPP(c_Int_Onumber__class_Onumber__of(A),D))).
% 2.47/2.66 Following clause subsumed by 1940 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),C)),hAPP(c_Int_Onumber__class_Onumber__of(A),D)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),C))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),C),c_Groups_Ozero__class_Ozero(A)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),c_Groups_Ozero__class_Ozero(A)),hAPP(c_Int_Onumber__class_Onumber__of(A),D))).
% 2.47/2.66 Following clause subsumed by 1941 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),C)),hAPP(c_Int_Onumber__class_Onumber__of(A),D)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),C))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(c_Int_Onumber__class_Onumber__of(A),D)),C)),B))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),C),c_Groups_Ozero__class_Ozero(A))).
% 2.47/2.66 Following clause subsumed by 1942 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),C)),hAPP(c_Int_Onumber__class_Onumber__of(A),D)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),C))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(c_Int_Onumber__class_Onumber__of(A),D)),C)),B))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),c_Groups_Ozero__class_Ozero(A)),hAPP(c_Int_Onumber__class_Onumber__of(A),D))).
% 2.47/2.66 Following clause subsumed by 1943 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),C)),hAPP(c_Int_Onumber__class_Onumber__of(A),D)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(c_Int_Onumber__class_Onumber__of(A),D)),C)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),C)).
% 2.47/2.66 Following clause subsumed by 1944 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),C)),hAPP(c_Int_Onumber__class_Onumber__of(A),D)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(c_Int_Onumber__class_Onumber__of(A),D)),C)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),C),c_Groups_Ozero__class_Ozero(A)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),c_Groups_Ozero__class_Ozero(A)),hAPP(c_Int_Onumber__class_Onumber__of(A),D))).
% 2.47/2.66 Following clause subsumed by 1945 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),C)),hAPP(c_Int_Onumber__class_Onumber__of(A),D)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(c_Int_Onumber__class_Onumber__of(A),D)),C)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(c_Int_Onumber__class_Onumber__of(A),D)),C)),B))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),C),c_Groups_Ozero__class_Ozero(A))).
% 2.47/2.66 Following clause subsumed by 1946 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),C)),hAPP(c_Int_Onumber__class_Onumber__of(A),D)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(c_Int_Onumber__class_Onumber__of(A),D)),C)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(c_Int_Onumber__class_Onumber__of(A),D)),C)),B))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),c_Groups_Ozero__class_Ozero(A)),hAPP(c_Int_Onumber__class_Onumber__of(A),D))).
% 2.47/2.66 Following clause subsumed by 1937 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),hAPP(c_Int_Onumber__class_Onumber__of(A),C))),D))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),hAPP(c_Int_Onumber__class_Onumber__of(A),C)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),hAPP(c_Int_Onumber__class_Onumber__of(A),C)))).
% 2.47/2.66 Following clause subsumed by 1938 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),hAPP(c_Int_Onumber__class_Onumber__of(A),C))),D))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),hAPP(c_Int_Onumber__class_Onumber__of(A),C)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(c_Int_Onumber__class_Onumber__of(A),C)),c_Groups_Ozero__class_Ozero(A)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),hAPP(c_Int_Onumber__class_Onumber__of(A),C))),B)).
% 2.47/2.66 Following clause subsumed by 1939 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),hAPP(c_Int_Onumber__class_Onumber__of(A),C))),D))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),hAPP(c_Int_Onumber__class_Onumber__of(A),C)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(c_Int_Onumber__class_Onumber__of(A),C)),c_Groups_Ozero__class_Ozero(A)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),c_Groups_Ozero__class_Ozero(A)),D)).
% 2.47/2.66 Following clause subsumed by 1940 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),hAPP(c_Int_Onumber__class_Onumber__of(A),C))),D))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),hAPP(c_Int_Onumber__class_Onumber__of(A),C)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(c_Int_Onumber__class_Onumber__of(A),C)),c_Groups_Ozero__class_Ozero(A)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),c_Groups_Ozero__class_Ozero(A)),D)).
% 2.47/2.66 Following clause subsumed by 1941 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),hAPP(c_Int_Onumber__class_Onumber__of(A),C))),D))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),hAPP(c_Int_Onumber__class_Onumber__of(A),C)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),hAPP(c_Int_Onumber__class_Onumber__of(A),C))),B))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(c_Int_Onumber__class_Onumber__of(A),C)),c_Groups_Ozero__class_Ozero(A))).
% 2.47/2.66 Following clause subsumed by 1942 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),hAPP(c_Int_Onumber__class_Onumber__of(A),C))),D))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),hAPP(c_Int_Onumber__class_Onumber__of(A),C)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),hAPP(c_Int_Onumber__class_Onumber__of(A),C))),B))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),c_Groups_Ozero__class_Ozero(A)),D)).
% 2.47/2.66 Following clause subsumed by 1943 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),hAPP(c_Int_Onumber__class_Onumber__of(A),C))),D))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),hAPP(c_Int_Onumber__class_Onumber__of(A),C))))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),hAPP(c_Int_Onumber__class_Onumber__of(A),C))).
% 2.47/2.66 Following clause subsumed by 1944 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),hAPP(c_Int_Onumber__class_Onumber__of(A),C))),D))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),hAPP(c_Int_Onumber__class_Onumber__of(A),C))))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(c_Int_Onumber__class_Onumber__of(A),C)),c_Groups_Ozero__class_Ozero(A)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),c_Groups_Ozero__class_Ozero(A)),D)).
% 2.47/2.67 Following clause subsumed by 1945 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),hAPP(c_Int_Onumber__class_Onumber__of(A),C))),D))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),hAPP(c_Int_Onumber__class_Onumber__of(A),C))))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),hAPP(c_Int_Onumber__class_Onumber__of(A),C))),B))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(c_Int_Onumber__class_Onumber__of(A),C)),c_Groups_Ozero__class_Ozero(A))).
% 2.47/2.67 Following clause subsumed by 1946 during input processing: 0 [] {-} -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),hAPP(c_Int_Onumber__class_Onumber__of(A),C))),D))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),hAPP(c_Int_Onumber__class_Onumber__of(A),C))))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),hAPP(c_Int_Onumber__class_Onumber__of(A),C))),B))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),c_Groups_Ozero__class_Ozero(A)),D)).
% 2.47/2.67 Following clause subsumed by 849 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)).
% 2.47/2.67 Following clause subsumed by 1160 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)).
% 2.47/2.67 Following clause subsumed by 1985 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))).
% 2.47/2.67 Following clause subsumed by 2007 during input processing: 0 [] {-} -class_Int_Onumber__ring(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),B)))|hAPP(hAPP(c_Power_Opower__class_Opower(A),hAPP(c_Int_Onumber__class_Onumber__of(A),C)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(B)))=hAPP(hAPP(c_HOL_OLet(A,A),hAPP(hAPP(c_Power_Opower__class_Opower(A),hAPP(c_Int_Onumber__class_Onumber__of(A),C)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),B))),hAPP(hAPP(c_COMBS(A,A,A),hAPP(hAPP(c_COMBB(A,tc_fun(A,A),A),c_Groups_Otimes__class_Otimes(A)),hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(c_Int_Onumber__class_Onumber__of(A),C)))),c_COMBI(A))).
% 2.47/2.67 Following clause subsumed by 2008 during input processing: 0 [] {-} -class_Int_Onumber__ring(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),B)))|hAPP(hAPP(c_Power_Opower__class_Opower(A),hAPP(c_Int_Onumber__class_Onumber__of(A),C)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(B)))=c_Groups_Oone__class_Oone(A).
% 2.47/2.68 Following clause subsumed by 2011 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)).
% 2.47/2.68 Following clause subsumed by 2011 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).
% 2.47/2.68 Following clause subsumed by 2025 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),A)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),B)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),A)))|c_Divides_OposDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),B),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),A))=hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),B)).
% 2.47/2.68 Following clause subsumed by 2025 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),A))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B),A))|c_Divides_OposDivAlg(B,A)=hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B).
% 2.47/2.68 Following clause subsumed by 2011 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).
% 2.47/2.68 Following clause subsumed by 2013 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).
% 2.47/2.68 Following clause subsumed by 2043 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)).
% 2.47/2.68 Following clause subsumed by 2043 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)).
% 2.47/2.68 Following clause subsumed by 2025 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).
% 2.47/2.69 Following clause subsumed by 2026 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).
% 2.47/2.69 Following clause subsumed by 2019 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).
% 2.47/2.69 Following clause subsumed by 2020 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)).
% 2.47/2.69 Following clause subsumed by 2021 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)).
% 2.47/2.69 Following clause subsumed by 2065 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))).
% 2.47/2.69 Following clause subsumed by 1534 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.
% 2.47/2.69 Following clause subsumed by 2074 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.
% 2.47/2.69 Following clause subsumed by 2075 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.
% 2.47/2.69 Following clause subsumed by 2070 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)).
% 2.47/2.69 Following clause subsumed by 2071 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).
% 2.47/2.69 Following clause subsumed by 1984 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).
% 2.47/2.69 Following clause subsumed by 2131 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)).
% 2.47/2.69 Following clause subsumed by 2132 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)).
% 2.47/2.69 Following clause subsumed by 2125 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.
% 2.47/2.69 Following clause subsumed by 2129 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))).
% 2.47/2.69 Following clause subsumed by 2129 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))).
% 2.47/2.69 Following clause subsumed by 2127 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)).
% 2.47/2.69 Following clause subsumed by 2128 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)).
% 2.47/2.69 Following clause subsumed by 2137 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)).
% 2.47/2.69 Following clause subsumed by 2138 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)).
% 2.47/2.69 Following clause subsumed by 2139 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).
% 2.47/2.69 Following clause subsumed by 2140 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).
% 2.47/2.69 Following clause subsumed by 2146 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)).
% 2.47/2.69 Following clause subsumed by 2147 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)).
% 2.47/2.69 Following clause subsumed by 2149 during input processing: 0 [] {-} A=B|hAPP(c_Product__Type_Ofst(C,D),A)!=hAPP(c_Product__Type_Ofst(C,D),B)|hAPP(c_Product__Type_Osnd(C,D),A)!=hAPP(c_Product__Type_Osnd(C,D),B).
% 2.47/2.69 Following clause subsumed by 2158 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool)),B),C))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(A,tc_HOL_Obool)),B),C))|B=C.
% 2.47/2.69 Following clause subsumed by 2156 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)).
% 2.47/2.69 Following clause subsumed by 2156 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)).
% 2.47/2.70 Following clause subsumed by 2162 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(A,tc_HOL_Obool)),B)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(A,tc_HOL_Obool)),C)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool)),C),B)).
% 2.47/2.70 Following clause subsumed by 2159 during input processing: 0 [] {-} A!=B|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(C,tc_HOL_Obool)),A),B)).
% 2.47/2.70 Following clause subsumed by 2116 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)).
% 2.47/2.70 Following clause subsumed by 2159 during input processing: 0 [] {-} A!=B|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(C,tc_HOL_Obool)),A),B)).
% 2.47/2.70 Following clause subsumed by 2164 during input processing: 0 [] {-} A!=B|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(C,tc_HOL_Obool)),B),A)).
% 2.47/2.70 Following clause subsumed by 2159 during input processing: 0 [] {-} A!=B|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(C,tc_HOL_Obool)),A),B)).
% 2.47/2.70 Following clause subsumed by 2164 during input processing: 0 [] {-} A!=B|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(C,tc_HOL_Obool)),B),A)).
% 2.47/2.70 Following clause subsumed by 2200 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)).
% 2.47/2.70 Following clause subsumed by 2199 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)).
% 2.47/2.70 Following clause subsumed by 2211 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),C))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),hAPP(hAPP(c_Orderings_Oord__class_Omax(A),C),D))).
% 2.47/2.70 Following clause subsumed by 2212 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),C))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),hAPP(hAPP(c_Orderings_Oord__class_Omax(A),D),C))).
% 2.47/2.70 Following clause subsumed by 2208 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.
% 2.47/2.70 Following clause subsumed by 2215 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)).
% 2.47/2.70 Following clause subsumed by 2215 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)).
% 2.47/2.70 Following clause subsumed by 2213 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)).
% 2.47/2.70 Following clause subsumed by 2214 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)).
% 2.47/2.70 Following clause subsumed by 2219 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)).
% 2.47/2.71 Following clause subsumed by 2220 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)).
% 2.47/2.71 Following clause subsumed by 2221 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).
% 2.47/2.71 Following clause subsumed by 2222 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).
% 2.47/2.71 Following clause subsumed by 2236 during input processing: 0 [] {-} hAPP(c_Code__Numeral_Onat__of,A)!=hAPP(c_Code__Numeral_Onat__of,B)|A=B.
% 2.47/2.71 Following clause subsumed by 2237 during input processing: 0 [] {-} hAPP(c_Code__Numeral_Onat__of,A)=hAPP(c_Code__Numeral_Onat__of,B)|A!=B.
% 2.47/2.71 Following clause subsumed by 2141 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hAPP(hAPP(c_Orderings_Oord__class_Omin(A),B),B)=B.
% 2.47/2.71 Following clause subsumed by 2223 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hAPP(hAPP(c_Orderings_Oord__class_Omax(A),B),B)=B.
% 2.47/2.71 Following clause subsumed by 2256 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_fun(B,tc_HOL_Obool))),C),D))| -hBOOL(hAPP(hAPP(C,E),F))|hBOOL(hAPP(hAPP(D,E),F)).
% 2.47/2.71 Following clause subsumed by 2257 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)).
% 2.47/2.71 Following clause subsumed by 2263 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(A,B,tc_HOL_Obool,C),D),E))|hBOOL(hAPP(C,hAPP(hAPP(c_Product__Type_OPair(A,B),D),E))).
% 2.47/2.71 Following clause subsumed by 2276 during input processing: 0 [] {-} hAPP(hAPP(c_Set_Oinsert(A),B),C)!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool)).
% 2.47/2.71 Following clause subsumed by 2303 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),A),B))| -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),B),A))|A=B.
% 2.47/2.71 Following clause subsumed by 2301 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),A),B))|A!=B.
% 2.47/2.71 Following clause subsumed by 2302 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),A),B))|hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),B),A))|A!=B.
% 2.47/2.71 Following clause subsumed by 2303 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),A),B))| -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),B),A))|B=A.
% 2.47/2.71 Following clause subsumed by 2303 during input processing: 0 [] {-} A=B| -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),A),B))| -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),B),A)).
% 2.47/2.71 Following clause subsumed by 2301 during input processing: 0 [] {-} A!=B|hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),A),B)).
% 2.47/2.71 Following clause subsumed by 2303 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),A),B))| -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),B),A))|B=A.
% 2.47/2.71 Following clause subsumed by 2301 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),A),B))|hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),B),A))|B!=A.
% 2.47/2.71 Following clause subsumed by 2303 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),A),B))| -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),B),A))|A=B.
% 2.47/2.71 Following clause subsumed by 2303 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),A),B))|A=B| -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),B),A)).
% 2.47/2.71 Following clause subsumed by 2303 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),A),B))| -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),B),A))|A=B.
% 2.47/2.71 Following clause subsumed by 2303 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),A),B))| -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),B),A))|A=B.
% 2.53/2.71 Following clause subsumed by 2304 during input processing: 0 [] {-} A!=B| -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),B),C))|hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),C),B))|hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),A),C)).
% 2.53/2.71 Following clause subsumed by 2305 during input processing: 0 [] {-} A!=B| -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),B),C))|hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),C),B))| -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),C),A)).
% 2.53/2.71 Following clause subsumed by 2306 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),A),B))| -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),B),C))|hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),C),B))|hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),A),C)).
% 2.53/2.71 Following clause subsumed by 2306 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),A),B))| -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),B),C))|hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),C),B))| -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),C),A)).
% 2.53/2.71 Following clause subsumed by 2302 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),A),B))|hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),B),A))|A!=B.
% 2.53/2.71 Following clause subsumed by 2302 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),A),B))|hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),B),A))|A!=B.
% 2.53/2.71 Following clause subsumed by 2301 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),A),B))|hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),B),A))|B!=A.
% 2.53/2.71 Following clause subsumed by 2305 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),A),B))|hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),B),A))|B!=C|hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),A),C)).
% 2.53/2.71 Following clause subsumed by 2304 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),A),B))|hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),B),A))|B!=C| -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),C),A)).
% 2.53/2.71 Following clause subsumed by 2306 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),A),B))|hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),B),A))| -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),B),C))|hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),A),C)).
% 2.53/2.71 Following clause subsumed by 2306 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),A),B))|hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),B),A))| -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),B),C))| -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),C),A)).
% 2.53/2.71 Following clause subsumed by 2306 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),A),B))|hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),B),A))| -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),B),C))|hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),C),B))|hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),A),C)).
% 2.53/2.71 Following clause subsumed by 2306 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),A),B))|hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),B),A))| -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),B),C))|hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),C),B))| -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),C),A)).
% 2.53/2.71 Following clause subsumed by 2312 during input processing: 0 [] {-} -class_Divides_Osemiring__div(A)| -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(A),B),C))| -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(A),B),c_Divides_Odiv__class_Omod(A,D,C)))|hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(A),B),D)).
% 2.53/2.72 Following clause subsumed by 2313 during input processing: 0 [] {-} -class_Divides_Osemiring__div(A)| -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(A),B),C))|hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(A),B),c_Divides_Odiv__class_Omod(A,D,C)))| -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(A),B),D)).
% 2.53/2.72 Following clause subsumed by 2296 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).
% 2.53/2.72 Following clause subsumed by 2301 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),A),c_Groups_Oone__class_Oone(tc_Nat_Onat)))|A!=c_Groups_Oone__class_Oone(tc_Nat_Onat).
% 2.53/2.72 Following clause subsumed by 2159 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)).
% 2.53/2.72 Following clause subsumed by 2348 during input processing: 0 [] {-} -class_Divides_Osemiring__div(A)| -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(A),B),C))|c_Divides_Odiv__class_Omod(A,C,B)=c_Groups_Ozero__class_Ozero(A).
% 2.53/2.72 Following clause subsumed by 2301 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),A),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))|A!=hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 2.53/2.72 Following clause subsumed by 2376 during input processing: 0 [] {-} -class_Rings_Ocomm__ring(A)| -class_Rings_Odvd(A)| -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(A),B),C))| -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(A),B),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),D),E)))|hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(A),B),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),hAPP(hAPP(c_Groups_Ominus__class_Ominus(A),D),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),F),C))),E))).
% 2.53/2.72 Following clause subsumed by 2377 during input processing: 0 [] {-} -class_Rings_Ocomm__ring(A)| -class_Rings_Odvd(A)| -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(A),B),C))|hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(A),B),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),D),E)))| -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(A),B),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),hAPP(hAPP(c_Groups_Ominus__class_Ominus(A),D),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),F),C))),E))).
% 2.53/2.72 Following clause subsumed by 2348 during input processing: 0 [] {-} -class_Divides_Osemiring__div(A)| -class_Int_Onumber(A)| -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(A),hAPP(c_Int_Onumber__class_Onumber__of(A),B)),hAPP(c_Int_Onumber__class_Onumber__of(A),C)))|c_Divides_Odiv__class_Omod(A,hAPP(c_Int_Onumber__class_Onumber__of(A),C),hAPP(c_Int_Onumber__class_Onumber__of(A),B))=c_Groups_Ozero__class_Ozero(A).
% 2.53/2.72 Following clause subsumed by 2349 during input processing: 0 [] {-} -class_Divides_Osemiring__div(A)| -class_Int_Onumber(A)|hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(A),hAPP(c_Int_Onumber__class_Onumber__of(A),B)),hAPP(c_Int_Onumber__class_Onumber__of(A),C)))|c_Divides_Odiv__class_Omod(A,hAPP(c_Int_Onumber__class_Onumber__of(A),C),hAPP(c_Int_Onumber__class_Onumber__of(A),B))!=c_Groups_Ozero__class_Ozero(A).
% 2.53/2.72 Following clause subsumed by 2368 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),A))|hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),C)))| -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),B),C)).
% 2.53/2.72 Following clause subsumed by 2383 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),C)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),A))|hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),B),C)).
% 2.53/2.73 Following clause subsumed by 2399 during input processing: 0 [] {-} A=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),B),C))| -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),A),B)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),A),C))).
% 2.53/2.73 Following clause subsumed by 2406 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(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_Rings_Odvd__class_Odvd(tc_Nat_Onat),A),B)).
% 2.53/2.73 Following clause subsumed by 2405 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(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_Rings_Odvd__class_Odvd(tc_Nat_Onat),A),B)).
% 2.53/2.73 Following clause subsumed by 2460 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(A),B),C))|C!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool)).
% 2.53/2.73 Following clause subsumed by 2451 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(A),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool)))).
% 2.53/2.73 Following clause subsumed by 2452 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)).
% 2.53/2.73 Following clause subsumed by 2454 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_member(A),B),hAPP(hAPP(c_Set_Oinsert(A),C),D)))|B!=C.
% 2.53/2.73 Following clause subsumed by 2453 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)).
% 2.53/2.73 Following clause subsumed by 2460 during input processing: 0 [] {-} A!=c_Orderings_Obot__class_Obot(tc_fun(B,tc_HOL_Obool))| -hBOOL(hAPP(hAPP(c_member(B),C),A)).
% 2.53/2.73 Following clause subsumed by 2453 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))).
% 2.53/2.73 Following clause subsumed by 2455 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)).
% 2.53/2.73 Following clause subsumed by 2455 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)).
% 2.53/2.73 Following clause subsumed by 2455 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)).
% 2.53/2.73 Following clause subsumed by 2464 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)).
% 2.53/2.73 Following clause subsumed by 2464 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)).
% 2.53/2.73 Following clause subsumed by 2456 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)).
% 2.53/2.73 Following clause subsumed by 2457 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)).
% 2.53/2.73 Following clause subsumed by 2458 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)).
% 2.53/2.73 Following clause subsumed by 2456 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)).
% 2.53/2.73 Following clause subsumed by 2457 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)).
% 2.53/2.74 Following clause subsumed by 2450 during input processing: 0 [] {-} A!=B| -hBOOL(hAPP(hAPP(c_member(C),D),A))|hBOOL(hAPP(hAPP(c_member(C),D),B)).
% 2.53/2.74 Following clause subsumed by 2449 during input processing: 0 [] {-} A!=B|hBOOL(hAPP(hAPP(c_member(C),D),A))| -hBOOL(hAPP(hAPP(c_member(C),D),B)).
% 2.53/2.74 Following clause subsumed by 2472 during input processing: 0 [] {-} A!=B| -hBOOL(hAPP(hAPP(c_member(C),B),D))|hBOOL(hAPP(hAPP(c_member(C),A),D)).
% 2.53/2.74 Following clause subsumed by 2451 during input processing: 0 [unit_del,2475] {-} -hBOOL(hAPP(hAPP(c_member(A),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool)))).
% 2.53/2.74 Following clause subsumed by 2451 during input processing: 0 [unit_del,2479] {-} -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)))).
% 2.53/2.74 Following clause subsumed by 2454 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.
% 2.53/2.74 Following clause subsumed by 2482 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.
% 2.53/2.74 Following clause subsumed by 2328 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)).
% 2.53/2.74 Following clause subsumed by 2487 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).
% 2.53/2.74 Following clause subsumed by 2483 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool)),B),hAPP(hAPP(c_Set_Oinsert(A),C),D)))|hBOOL(hAPP(hAPP(c_member(A),C),B))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool)),B),D)).
% 2.53/2.74 Following clause subsumed by 2328 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool)),B),hAPP(hAPP(c_Set_Oinsert(A),C),D)))|hBOOL(hAPP(hAPP(c_member(A),C),B))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool)),B),D)).
% 2.53/2.74 Following clause subsumed by 2328 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool)),B),hAPP(hAPP(c_Set_Oinsert(A),C),D)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool)),B),hAPP(hAPP(c_Set_Oinsert(A),C),c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool))))),D))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool)),B),D)).
% 2.53/2.74 Following clause subsumed by 2494 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))).
% 2.53/2.74 Following clause subsumed by 2479 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(A,tc_fun(B,tc_HOL_Obool))),C),D)).
% 2.53/2.74 Following clause subsumed by 2569 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)).
% 2.53/2.74 Following clause subsumed by 2566 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)).
% 2.53/2.75 Following clause subsumed by 2567 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)).
% 2.53/2.75 Following clause subsumed by 2569 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)).
% 2.53/2.75 Following clause subsumed by 2571 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.
% 2.53/2.75 Following clause subsumed by 2582 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.
% 2.53/2.75 Following clause subsumed by 2554 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)).
% 2.53/2.75 Following clause subsumed by 2553 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)).
% 2.53/2.75 Following clause subsumed by 2600 during input processing: 0 [] {-} -class_Lattices_Osemilattice__sup(A)|hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(A),B),B)=B.
% 2.53/2.75 Following clause subsumed by 2601 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).
% 2.53/2.75 Following clause subsumed by 2603 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).
% 2.53/2.75 Following clause subsumed by 2605 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)).
% 2.53/2.75 Following clause subsumed by 2607 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)).
% 2.53/2.75 Following clause subsumed by 2609 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)).
% 2.53/2.75 Following clause subsumed by 2555 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)).
% 2.53/2.75 Following clause subsumed by 2557 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)).
% 2.53/2.75 Following clause subsumed by 2556 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)).
% 2.53/2.75 Following clause subsumed by 2557 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))).
% 2.57/2.76 Following clause subsumed by 2556 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))).
% 2.57/2.76 Following clause subsumed by 2634 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)).
% 2.57/2.76 Following clause subsumed by 2633 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)).
% 2.57/2.76 Following clause subsumed by 2635 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).
% 2.57/2.76 Following clause subsumed by 2635 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))).
% 2.57/2.76 Following clause subsumed by 2648 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)).
% 2.57/2.76 Following clause subsumed by 2636 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))).
% 2.57/2.76 Following clause subsumed by 2644 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))).
% 2.57/2.76 Following clause subsumed by 2666 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)).
% 2.57/2.76 Following clause subsumed by 2670 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))).
% 2.57/2.76 Following clause subsumed by 2636 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))).
% 2.57/2.76 Following clause subsumed by 2685 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)).
% 2.57/2.76 Following clause subsumed by 2644 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))).
% 2.57/2.76 Following clause subsumed by 2699 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)))).
% 2.57/2.77 Following clause subsumed by 2702 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)).
% 2.57/2.77 Following clause subsumed by 2699 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)).
% 2.57/2.77 Following clause subsumed by 2706 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))).
% 2.57/2.77 Following clause subsumed by 2706 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))).
% 2.57/2.77 Following clause subsumed by 2710 during input processing: 0 [] {-} -class_Finite__Set_Ofinite(A)|hBOOL(hAPP(c_Finite__Set_Ofinite(A),B)).
% 2.57/2.77 Following clause subsumed by 2707 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)).
% 2.57/2.77 Following clause subsumed by 2712 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool)),B),C))| -hBOOL(hAPP(c_Finite__Set_Ofinite(A),C))|hBOOL(hAPP(c_Finite__Set_Ofinite(A),B)).
% 2.57/2.77 Following clause subsumed by 2715 during input processing: 0 [] {-} -hBOOL(hAPP(c_Finite__Set_Ofinite(A),B))| -hBOOL(hAPP(c_Finite__Set_Ofinite(A),C))|hBOOL(hAPP(c_Finite__Set_Ofinite(A),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool)),B),C))).
% 2.57/2.77 Following clause subsumed by 2705 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)).
% 2.57/2.77 Following clause subsumed by 2762 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))).
% 2.57/2.77 Following clause subsumed by 2759 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)).
% 2.57/2.77 Following clause subsumed by 2760 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)).
% 2.57/2.77 Following clause subsumed by 2762 during input processing: 0 [] {-} -class_Lattices_Osemilattice__inf(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(A),C),D)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),C))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),D)).
% 2.57/2.77 Following clause subsumed by 2764 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.
% 2.57/2.77 Following clause subsumed by 2749 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)).
% 2.57/2.78 Following clause subsumed by 2748 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)).
% 2.57/2.78 Following clause subsumed by 2748 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)).
% 2.57/2.78 Following clause subsumed by 2749 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)).
% 2.57/2.78 Following clause subsumed by 2747 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)).
% 2.57/2.78 Following clause subsumed by 2792 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)).
% 2.57/2.78 Following clause subsumed by 2793 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)).
% 2.57/2.78 Following clause subsumed by 2795 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)).
% 2.57/2.78 Following clause subsumed by 2797 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).
% 2.57/2.78 Following clause subsumed by 2799 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).
% 2.57/2.78 Following clause subsumed by 2801 during input processing: 0 [] {-} -class_Lattices_Osemilattice__inf(A)|hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(A),B),B)=B.
% 2.57/2.78 Following clause subsumed by 2745 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)).
% 2.57/2.78 Following clause subsumed by 2744 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)).
% 2.57/2.78 Following clause subsumed by 2812 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)).
% 2.57/2.78 Following clause subsumed by 2813 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)).
% 2.57/2.78 Following clause subsumed by 2827 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.
% 2.57/2.79 Following clause subsumed by 2860 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)).
% 2.57/2.79 Following clause subsumed by 2859 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)).
% 2.57/2.79 Following clause subsumed by 2862 during input processing: 0 [] {-} c_SetInterval_Oord_OgreaterThanAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),A,B)=c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool))| -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),B),A)).
% 2.57/2.79 Following clause subsumed by 2863 during input processing: 0 [] {-} c_SetInterval_Oord_OatLeastLessThan(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),A,B)=c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool))| -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),B),A)).
% 2.57/2.79 Following clause subsumed by 2864 during input processing: 0 [flip.1] {-} c_SetInterval_Oord_OgreaterThanAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),A,B)!=c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool))| -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),A),B))|hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),B),A)).
% 2.57/2.79 Following clause subsumed by 2862 during input processing: 0 [flip.1] {-} c_SetInterval_Oord_OgreaterThanAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),A,B)=c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool))| -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),B),A)).
% 2.57/2.79 Following clause subsumed by 2865 during input processing: 0 [flip.1] {-} c_SetInterval_Oord_OatLeastLessThan(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),A,B)!=c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool))| -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),A),B))|hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),B),A)).
% 2.57/2.79 Following clause subsumed by 2863 during input processing: 0 [flip.1] {-} c_SetInterval_Oord_OatLeastLessThan(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),A,B)=c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool))| -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),B),A)).
% 2.57/2.79 Following clause subsumed by 2896 during input processing: 0 [flip.1] {-} c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),A,B)!=c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool))| -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),A),B)).
% 2.57/2.79 Following clause subsumed by 2898 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)).
% 2.57/2.79 Following clause subsumed by 2899 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)).
% 2.57/2.80 Following clause subsumed by 2900 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)).
% 2.57/2.80 Following clause subsumed by 2903 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)).
% 2.57/2.80 Following clause subsumed by 2905 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)).
% 2.57/2.80 Following clause subsumed by 2907 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)).
% 2.57/2.80 Following clause subsumed by 2885 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),$f149(B,A)),$f148(B,A))),hAPP(hAPP(c_Set_Oinsert(A),$f149(B,A)),hAPP(hAPP(c_Set_Oinsert(A),$f148(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)).
% 2.57/2.80 Following clause subsumed by 2937 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)).
% 2.57/2.80 Following clause subsumed by 2940 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)).
% 2.57/2.81 Following clause subsumed by 2934 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),$f155(B,A)),$f154(B,A))),hAPP(hAPP(c_Set_Oinsert(A),$f155(B,A)),hAPP(hAPP(c_Set_Oinsert(A),$f154(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)).
% 2.57/2.81 Following clause subsumed by 2959 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)).
% 2.57/2.81 Following clause subsumed by 2960 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)).
% 2.57/2.81 Following clause subsumed by 2966 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)).
% 2.57/2.81 Following clause subsumed by 2968 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)).
% 2.57/2.81 Following clause subsumed by 2978 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)).
% 2.57/2.81 Following clause subsumed by 2993 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)).
% 2.57/2.81 Following clause subsumed by 2986 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)).
% 2.57/2.83 Following clause subsumed by 2997 during input processing: 0 [] {-} -hBOOL(hAPP(c_Finite__Set_Ofinite(A),B))| -hBOOL(hAPP(c_Finite__Set_Ofinite(A),C))|hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(A),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool)),B),C))),hAPP(c_Finite__Set_Ocard(A),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(A,tc_HOL_Obool)),B),C)))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(A),B)),hAPP(c_Finite__Set_Ocard(A),C)).
% 2.57/2.83 Following clause subsumed by 3043 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).
% 2.57/2.83 Following clause subsumed by 3044 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).
% 2.57/2.83 Following clause subsumed by 3053 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))).
% 2.57/2.83 Following clause subsumed by 3051 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)).
% 2.57/2.83 Following clause subsumed by 3052 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)).
% 2.57/2.83 Following clause subsumed by 3031 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)).
% 2.57/2.83 Following clause subsumed by 3069 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)).
% 2.57/2.83 Following clause subsumed by 3070 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)).
% 2.57/2.83 Following clause subsumed by 3073 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)).
% 2.67/2.89 Following clause subsumed by 3024 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)).
% 2.67/2.89 Following clause subsumed by 3087 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)).
% 2.67/2.89 Following clause subsumed by 3103 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))).
% 2.67/2.89 Following clause subsumed by 3144 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)).
% 2.67/2.89 Following clause subsumed by 3161 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)).
% 2.67/2.89 Following clause subsumed by 3044 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).
% 2.67/2.89 Following clause subsumed by 3174 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).
% 2.67/2.89 Following clause subsumed by 3177 during input processing: 0 [] {-} A!=B| -hBOOL(hAPP(hAPP(c_member(C),A),D))|hBOOL(hAPP(hAPP(c_member(tc_prod(C,C)),hAPP(hAPP(c_Product__Type_OPair(C,C),A),B)),c_Relation_OId__on(C,D))).
% 2.67/2.89 Following clause subsumed by 3182 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).
% 2.67/2.89 Following clause subsumed by 3184 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.
% 2.67/2.89 Following clause subsumed by 3212 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)).
% 2.67/2.89 Following clause subsumed by 3207 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)).
% 2.67/2.89 Following clause subsumed by 3224 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).
% 2.67/2.89 Following clause subsumed by 3246 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).
% 2.67/2.89 Following clause subsumed by 3279 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.
% 2.67/2.89 Following clause subsumed by 3279 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.
% 2.67/2.89 Following clause subsumed by 3279 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).
% 2.76/2.94 Following clause subsumed by 3366 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),C))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),D),E))|hAPP(c_SetInterval_Oord__class_OatLeastLessThan(A,B),C)!=hAPP(c_SetInterval_Oord__class_OatLeastLessThan(A,D),E)|B=D.
% 2.76/2.94 Following clause subsumed by 3365 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),C))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),D),E))|hAPP(c_SetInterval_Oord__class_OatLeastLessThan(A,B),C)!=hAPP(c_SetInterval_Oord__class_OatLeastLessThan(A,D),E)|C=E.
% 2.76/2.94 Following clause subsumed by 3418 during input processing: 0 [] {-} A!=B|hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(C,D),E),B),F),A)=F.
% 2.76/2.94 Following clause subsumed by 3420 during input processing: 0 [] {-} hAPP(A,B)!=C|hAPP(hAPP(hAPP(c_Fun_Ofun__upd(D,E),A),B),C)=A.
% 2.76/2.94 Following clause subsumed by 3420 during input processing: 0 [] {-} hAPP(A,B)!=hAPP(c_Option_Ooption_OSome(C),D)|hAPP(hAPP(hAPP(c_Fun_Ofun__upd(E,tc_Option_Ooption(C)),A),B),hAPP(c_Option_Ooption_OSome(C),D))=A.
% 2.76/2.94 Following clause subsumed by 3479 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).
% 2.76/2.94 Following clause subsumed by 3480 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).
% 2.76/2.94 Following clause subsumed by 3478 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)).
% 2.76/2.94 Following clause subsumed by 3464 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).
% 2.76/2.94 Following clause subsumed by 3498 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)).
% 2.76/2.94 Following clause subsumed by 3479 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).
% 2.76/2.94 Following clause subsumed by 3502 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).
% 2.76/2.94 Following clause subsumed by 3524 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).
% 2.76/2.94 Following clause subsumed by 3642 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).
% 2.76/2.94 Following clause subsumed by 3641 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).
% 2.76/2.99 Following clause subsumed by 3643 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)).
% 2.76/2.99 Following clause subsumed by 3711 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.
% 2.76/2.99 Following clause subsumed by 2710 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)))).
% 2.76/2.99 Following clause subsumed by 1980 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.
% 2.76/2.99 Following clause subsumed by 1981 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.
% 2.76/2.99 Following clause subsumed by 2644 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)).
% 2.76/2.99 Following clause subsumed by 3734 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,$f287(D,C,B,A,E))=D.
% 2.76/2.99 Following clause subsumed by 3734 during input processing: 0 [] {-} -c_Fun_Oinj__on(A,B,C,c_Orderings_Otop__class_Otop(tc_fun(A,tc_HOL_Obool)))|hBOOL(hAPP(hAPP(c_member(B),D),hAPP(c_Set_Oimage(A,B,C),c_Orderings_Otop__class_Otop(tc_fun(A,tc_HOL_Obool)))))|D!=hAPP(C,E)|$f287(D,C,B,A,E)!=E.
% 2.76/2.99 Following clause subsumed by 2636 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)).
% 2.76/2.99 Following clause subsumed by 3791 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)).
% 2.76/2.99 Following clause subsumed by 3790 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)).
% 2.76/2.99 Following clause subsumed by 3844 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))).
% 2.76/2.99 Following clause subsumed by 3843 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)).
% 2.76/2.99 Following clause subsumed by 3843 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)).
% 2.76/2.99 Following clause subsumed by 3844 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))).
% 2.76/2.99 Following clause subsumed by 3832 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))).
% 2.87/3.09 Following clause subsumed by 3161 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)).
% 2.87/3.09 Following clause subsumed by 3927 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_member(A),B),hAPP(c_Set_OCollect(A),C)))| -hBOOL(hAPP(C,B)).
% 2.87/3.09 Following clause subsumed by 3933 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(A),B),hAPP(c_Set_OCollect(A),C)))|hBOOL(hAPP(C,B)).
% 2.87/3.09 Following clause subsumed by 3933 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(A),B),hAPP(c_Set_OCollect(A),C)))|hBOOL(hAPP(C,B)).
% 2.87/3.09 Following clause subsumed by 3939 during input processing: 0 [flip.1] {-} hAPP(c_Set_OCollect(A),B)!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool))| -hBOOL(hAPP(B,C)).
% 2.87/3.09 Following clause subsumed by 2748 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)).
% 2.87/3.09 Following clause subsumed by 3960 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).
% 2.87/3.09 Following clause subsumed by 3950 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))).
% 2.87/3.09 Following clause subsumed by 4007 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)).
% 2.87/3.09 Following clause subsumed by 4024 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)).
% 2.87/3.09 Following clause subsumed by 4023 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)).
% 2.87/3.09 Following clause subsumed by 4025 during input processing: 0 [] {-} -c_Wellfounded_Owf(A,B)|hBOOL(hAPP(hAPP(c_member(A),C),c_Wellfounded_Oacc(A,B))).
% 2.87/3.09 Following clause subsumed by 4041 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)).
% 2.87/3.09 Following clause subsumed by 4049 during input processing: 0 [] {-} hBOOL(hAPP(c_Predicate_ORangeP(A,B,C),D))| -hBOOL(hAPP(hAPP(C,E),D)).
% 2.87/3.09 Following clause subsumed by 4055 during input processing: 0 [] {-} -c_Wellfounded_OwfP(A,B)|hBOOL(hAPP(c_Wellfounded_Oaccp(A,B),C)).
% 2.87/3.09 Following clause subsumed by 4054 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)).
% 2.87/3.09 Following clause subsumed by 4069 during input processing: 0 [] {-} hBOOL(hAPP(c_Predicate_ODomainP(A,B,C),D))| -hBOOL(hAPP(hAPP(C,D),E)).
% 2.87/3.09 Following clause subsumed by 4072 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).
% 2.87/3.09 Following clause subsumed by 4074 during input processing: 0 [] {-} -hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(A,A)),B))| -c_Wellfounded_Oacyclic(A,B)|c_Wellfounded_Owf(A,B).
% 2.87/3.09 Following clause subsumed by 4099 during input processing: 0 [] {-} -hBOOL(hAPP(A,B))|hBOOL(hAPP(A,c_Hilbert__Choice_OEps(C,A))).
% 2.87/3.09 Following clause subsumed by 4099 during input processing: 0 [] {-} -hBOOL(hAPP(A,B))|hBOOL(hAPP(A,c_Hilbert__Choice_OEps(C,A))).
% 2.87/3.09 Following clause subsumed by 4099 during input processing: 0 [] {-} -hBOOL(hAPP(A,B))|hBOOL(hAPP(A,c_Hilbert__Choice_OEps(C,A))).
% 2.87/3.11 Following clause subsumed by 4151 during input processing: 0 [] {-} -class_Lattices_Olattice(A)| -hBOOL(hAPP(c_Finite__Set_Ofinite(A),B))|hBOOL(hAPP(hAPP(c_member(A),C),B))|c_Big__Operators_Olattice__class_OSup__fin(A,hAPP(hAPP(c_Set_Oinsert(A),C),B))=hAPP(hAPP(c_Finite__Set_Ofold(A,A,c_Lattices_Osemilattice__sup__class_Osup(A)),C),B).
% 2.87/3.11 Following clause subsumed by 4152 during input processing: 0 [] {-} -class_Lattices_Olattice(A)| -hBOOL(hAPP(c_Finite__Set_Ofinite(A),B))|hBOOL(hAPP(hAPP(c_member(A),C),B))|c_Big__Operators_Olattice__class_OInf__fin(A,hAPP(hAPP(c_Set_Oinsert(A),C),B))=hAPP(hAPP(c_Finite__Set_Ofold(A,A,c_Lattices_Osemilattice__inf__class_Oinf(A)),C),B).
% 2.87/3.11 Following clause subsumed by 4153 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -hBOOL(hAPP(c_Finite__Set_Ofinite(A),B))|hBOOL(hAPP(hAPP(c_member(A),C),B))|c_Big__Operators_Olinorder__class_OMin(A,hAPP(hAPP(c_Set_Oinsert(A),C),B))=hAPP(hAPP(c_Finite__Set_Ofold(A,A,c_Orderings_Oord__class_Omin(A)),C),B).
% 2.87/3.11 Following clause subsumed by 4154 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -hBOOL(hAPP(c_Finite__Set_Ofinite(A),B))|hBOOL(hAPP(hAPP(c_member(A),C),B))|c_Big__Operators_Olinorder__class_OMax(A,hAPP(hAPP(c_Set_Oinsert(A),C),B))=hAPP(hAPP(c_Finite__Set_Ofold(A,A,c_Orderings_Oord__class_Omax(A)),C),B).
% 2.87/3.11 Following clause subsumed by 4155 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -hBOOL(hAPP(c_Finite__Set_Ofinite(A),B))|hBOOL(hAPP(hAPP(c_member(A),C),B))|c_Big__Operators_Olattice_OInf__fin(A,c_Orderings_Oord__class_Omin(A),hAPP(hAPP(c_Set_Oinsert(A),C),B))=hAPP(hAPP(c_Finite__Set_Ofold(A,A,c_Orderings_Oord__class_Omin(A)),C),B).
% 2.87/3.11 Following clause subsumed by 4191 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))).
% 2.87/3.11 Following clause subsumed by 4201 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))).
% 2.87/3.11 Following clause subsumed by 4202 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.
% 2.87/3.11 Following clause subsumed by 4208 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))).
% 2.87/3.11 Following clause subsumed by 4220 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)).
% 2.87/3.11 Following clause subsumed by 4221 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))).
% 2.87/3.11 Following clause subsumed by 4222 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)).
% 2.87/3.11 Following clause subsumed by 4221 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))).
% 2.87/3.11 Following clause subsumed by 4240 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)).
% 2.98/3.18 Following clause subsumed by 4241 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)).
% 2.98/3.18 Following clause subsumed by 4220 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)).
% 2.98/3.18 Following clause subsumed by 4222 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)).
% 2.98/3.18 Following clause subsumed by 4291 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.
% 2.98/3.18 Following clause subsumed by 4300 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))).
% 2.98/3.18 Following clause subsumed by 4333 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)).
% 2.98/3.18 Following clause subsumed by 4448 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).
% 2.98/3.18 Following clause subsumed by 4449 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).
% 2.98/3.18 Following clause subsumed by 4450 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).
% 2.98/3.18 Following clause subsumed by 4463 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)).
% 2.98/3.18 Following clause subsumed by 4477 during input processing: 0 [] {-} -c_Fun_Oinj__on(A,B,C,c_Orderings_Otop__class_Otop(tc_fun(A,tc_HOL_Obool)))|hAPP(hAPP(c_List_Omap(A,B),C),D)!=hAPP(hAPP(c_List_Omap(A,B),C),E)|D=E.
% 2.98/3.18 Following clause subsumed by 4478 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))).
% 2.98/3.18 Following clause subsumed by 4471 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))).
% 2.98/3.18 Following clause subsumed by 4476 during input processing: 0 [] {-} c_Map_Omap__comp(A,B,C,D,E,F)=c_Option_Ooption_ONone(B)|hAPP(E,F)!=c_Option_Ooption_ONone(A).
% 2.98/3.18 Following clause subsumed by 4493 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,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)))|D=E.
% 3.06/3.24 Following clause subsumed by 4497 during input processing: 0 [] {-} 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))).
% 3.06/3.24 Following clause subsumed by 4497 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(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))).
% 3.06/3.24 Following clause subsumed by 4510 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(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))).
% 3.06/3.24 Following clause subsumed by 4527 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))).
% 3.06/3.24 Following clause subsumed by 4526 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))).
% 3.06/3.24 Following clause subsumed by 4526 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))).
% 3.06/3.24 Following clause subsumed by 4535 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).
% 3.06/3.24 Following clause subsumed by 4569 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).
% 3.06/3.24 Following clause subsumed by 4580 during input processing: 0 [] {-} hAPP(hAPP(c_List_Olist_OCons(A),B),C)!=C.
% 3.06/3.24 Following clause subsumed by 4586 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(A,B),C))| -c_List_Olistrelp(D,A,E,F)|c_List_Olistrelp(D,A,hAPP(hAPP(c_List_Olist_OCons(D),B),E),hAPP(hAPP(c_List_Olist_OCons(D),C),F)).
% 3.06/3.24 Following clause subsumed by 4611 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(A),B),hAPP(c_List_Oset(A),c_List_Osublist(A,C,D))))|hBOOL(hAPP(hAPP(c_member(A),B),hAPP(c_List_Oset(A),C))).
% 3.06/3.24 Following clause subsumed by 4535 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).
% 3.06/3.24 Following clause subsumed by 4659 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.
% 3.06/3.24 Following clause subsumed by 4666 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.
% 3.06/3.24 Following clause subsumed by 4569 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).
% 3.06/3.31 Following clause subsumed by 4695 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).
% 3.06/3.31 Following clause subsumed by 4728 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)).
% 3.06/3.31 Following clause subsumed by 4695 during input processing: 0 [] {-} hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),A)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hAPP(hAPP(c_List_Otake(B),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),A)),hAPP(hAPP(c_List_Olist_OCons(B),C),D))=c_List_Olist_ONil(B).
% 3.06/3.31 Following clause subsumed by 4728 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).
% 3.06/3.31 Following clause subsumed by 4750 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).
% 3.06/3.31 Following clause subsumed by 4773 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).
% 3.06/3.31 Following clause subsumed by 4781 during input processing: 0 [flip.1] {-} hAPP(hAPP(c_List_Oappend(B),C),A)!=A|C=c_List_Olist_ONil(B).
% 3.06/3.31 Following clause subsumed by 4782 during input processing: 0 [flip.1] {-} hAPP(hAPP(c_List_Oappend(B),C),A)=A|C!=c_List_Olist_ONil(B).
% 3.06/3.31 Following clause subsumed by 4783 during input processing: 0 [flip.1] {-} hAPP(hAPP(c_List_Oappend(B),A),C)!=A|C=c_List_Olist_ONil(B).
% 3.06/3.31 Following clause subsumed by 4784 during input processing: 0 [flip.1] {-} hAPP(hAPP(c_List_Oappend(B),A),C)=A|C!=c_List_Olist_ONil(B).
% 3.06/3.31 Following clause subsumed by 4761 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).
% 3.06/3.31 Following clause subsumed by 4844 during input processing: 0 [] {-} hAPP(hAPP(c_List_Odrop(A),B),C)=c_List_Olist_ONil(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(A)),C)),B)).
% 3.06/3.31 Following clause subsumed by 4857 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).
% 3.06/3.31 Following clause subsumed by 4935 during input processing: 0 [] {-} A!=c_List_Olist_ONil(B)|c_List_Olast(B,hAPP(hAPP(c_List_Olist_OCons(B),C),A))=C.
% 3.06/3.31 Following clause subsumed by 4936 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).
% 3.06/3.31 Following clause subsumed by 4988 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)).
% 3.17/3.35 Following clause subsumed by 4993 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),B),C))| -c_List_Olinorder__class_Osorted(A,hAPP(hAPP(c_List_Olist_OCons(A),C),D))|c_List_Olinorder__class_Osorted(A,hAPP(hAPP(c_List_Olist_OCons(A),B),hAPP(hAPP(c_List_Olist_OCons(A),C),D))).
% 3.17/3.35 Following clause subsumed by 4997 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).
% 3.17/3.35 Following clause subsumed by 4981 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_List_Olinorder__class_Osorted(A,c_List_Olist_ONil(A)).
% 3.17/3.35 Following clause subsumed by 5023 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).
% 3.17/3.35 Following clause subsumed by 4999 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)).
% 3.17/3.35 Following clause subsumed by 4998 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).
% 3.17/3.35 Following clause subsumed by 5041 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -c_List_Olinorder__class_Osorted(A,B)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),C),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(A)),B)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),D),C))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(A),hAPP(hAPP(c_List_Onth(A),B),D)),hAPP(hAPP(c_List_Onth(A),B),C))).
% 3.17/3.35 Following clause subsumed by 5058 during input processing: 0 [] {-} hAPP(c_List_Orev(A),B)!=c_List_Olist_ONil(A)|B=c_List_Olist_ONil(A).
% 3.17/3.35 Following clause subsumed by 5060 during input processing: 0 [] {-} hAPP(c_List_Orev(A),B)=c_List_Olist_ONil(A)|B!=c_List_Olist_ONil(A).
% 3.17/3.35 Following clause subsumed by 21 during input processing: 0 [copy,20,flip.1] {-} c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OSemi(D,E).
% 3.17/3.35 Following clause subsumed by 20 during input processing: 0 [copy,21,flip.1] {-} c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OCond(C,D,E).
% 3.17/3.35 Following clause subsumed by 51 during input processing: 0 [copy,49,flip.1] {-} c_Com_Ocom_OCall(A,B,C)!=c_Com_Ocom_OAss(D,E).
% 3.17/3.35 Following clause subsumed by 52 during input processing: 0 [copy,50,flip.1] {-} c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OAss(D,E).
% 3.17/3.35 Following clause subsumed by 49 during input processing: 0 [copy,51,flip.1] {-} c_Com_Ocom_OAss(A,B)!=c_Com_Ocom_OCall(C,D,E).
% 3.17/3.35 Following clause subsumed by 50 during input processing: 0 [copy,52,flip.1] {-} c_Com_Ocom_OAss(A,B)!=c_Com_Ocom_OLocal(C,D,E).
% 3.17/3.35 Following clause subsumed by 54 during input processing: 0 [copy,53,flip.1] {-} c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OCall(D,E,F).
% 3.17/3.35 Following clause subsumed by 53 during input processing: 0 [copy,54,flip.1] {-} c_Com_Ocom_OCall(A,B,C)!=c_Com_Ocom_OLocal(D,E,F).
% 3.17/3.35 Following clause subsumed by 68 during input processing: 0 [copy,67,flip.1] {-} c_Com_Ocom_OAss(A,B)!=c_Com_Ocom_OCond(C,D,E).
% 3.17/3.35 Following clause subsumed by 67 during input processing: 0 [copy,68,flip.1] {-} c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OAss(D,E).
% 3.17/3.35 Following clause subsumed by 70 during input processing: 0 [copy,69,flip.1] {-} c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OLocal(D,E,F).
% 3.17/3.35 Following clause subsumed by 69 during input processing: 0 [copy,70,flip.1] {-} c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OCond(D,E,F).
% 3.17/3.35 Following clause subsumed by 72 during input processing: 0 [copy,71,flip.1] {-} c_Com_Ocom_OCall(A,B,C)!=c_Com_Ocom_OCond(D,E,F).
% 3.17/3.35 Following clause subsumed by 71 during input processing: 0 [copy,72,flip.1] {-} c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OCall(D,E,F).
% 3.17/3.36 Following clause subsumed by 74 during input processing: 0 [copy,73,flip.1] {-} c_Com_Ocom_OAss(A,B)!=c_Com_Ocom_OSemi(C,D).
% 3.17/3.36 Following clause subsumed by 73 during input processing: 0 [copy,74,flip.1] {-} c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OAss(C,D).
% 3.17/3.36 Following clause subsumed by 79 during input processing: 0 [copy,77,flip.1] {-} c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OLocal(C,D,E).
% 3.17/3.36 Following clause subsumed by 80 during input processing: 0 [copy,78,flip.1] {-} c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OCall(C,D,E).
% 3.17/3.36 Following clause subsumed by 77 during input processing: 0 [copy,79,flip.1] {-} c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OSemi(D,E).
% 3.17/3.36 Following clause subsumed by 78 during input processing: 0 [copy,80,flip.1] {-} c_Com_Ocom_OCall(A,B,C)!=c_Com_Ocom_OSemi(D,E).
% 3.17/3.36 Following clause subsumed by 97 during input processing: 0 [copy,96,flip.1] {-} hAPP(c_Com_Ocom_OBODY,A)!=c_Com_Ocom_OWhile(B,C).
% 3.17/3.36 Following clause subsumed by 96 during input processing: 0 [copy,97,flip.1] {-} c_Com_Ocom_OWhile(A,B)!=hAPP(c_Com_Ocom_OBODY,C).
% 3.17/3.36 Following clause subsumed by 108 during input processing: 0 [copy,107,flip.1] {-} c_Com_Ocom_OCond(A,B,C)!=hAPP(c_Com_Ocom_OBODY,D).
% 3.17/3.36 Following clause subsumed by 107 during input processing: 0 [copy,108,flip.1] {-} hAPP(c_Com_Ocom_OBODY,A)!=c_Com_Ocom_OCond(B,C,D).
% 3.17/3.36 Following clause subsumed by 110 during input processing: 0 [copy,109,flip.1] {-} hAPP(c_Com_Ocom_OBODY,A)!=c_Com_Ocom_OAss(B,C).
% 3.17/3.36 Following clause subsumed by 109 during input processing: 0 [copy,110,flip.1] {-} c_Com_Ocom_OAss(A,B)!=hAPP(c_Com_Ocom_OBODY,C).
% 3.17/3.36 Following clause subsumed by 113 during input processing: 0 [copy,112,flip.1] {-} c_Com_Ocom_OSemi(A,B)!=hAPP(c_Com_Ocom_OBODY,C).
% 3.17/3.36 Following clause subsumed by 112 during input processing: 0 [copy,113,flip.1] {-} hAPP(c_Com_Ocom_OBODY,A)!=c_Com_Ocom_OSemi(B,C).
% 3.17/3.36 Following clause subsumed by 116 during input processing: 0 [copy,114,flip.1] {-} hAPP(c_Com_Ocom_OBODY,A)!=c_Com_Ocom_OLocal(B,C,D).
% 3.17/3.36 Following clause subsumed by 117 during input processing: 0 [copy,115,flip.1] {-} hAPP(c_Com_Ocom_OBODY,A)!=c_Com_Ocom_OCall(B,C,D).
% 3.17/3.36 Following clause subsumed by 114 during input processing: 0 [copy,116,flip.1] {-} c_Com_Ocom_OLocal(A,B,C)!=hAPP(c_Com_Ocom_OBODY,D).
% 3.17/3.36 Following clause subsumed by 115 during input processing: 0 [copy,117,flip.1] {-} c_Com_Ocom_OCall(A,B,C)!=hAPP(c_Com_Ocom_OBODY,D).
% 3.17/3.36 Following clause subsumed by 120 during input processing: 0 [copy,119,flip.1] {-} c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OWhile(D,E).
% 3.17/3.36 Following clause subsumed by 119 during input processing: 0 [copy,120,flip.1] {-} c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OCond(C,D,E).
% 3.17/3.36 Following clause subsumed by 122 during input processing: 0 [copy,121,flip.1] {-} c_Com_Ocom_OAss(A,B)!=c_Com_Ocom_OWhile(C,D).
% 3.17/3.36 Following clause subsumed by 121 during input processing: 0 [copy,122,flip.1] {-} c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OAss(C,D).
% 3.17/3.36 Following clause subsumed by 124 during input processing: 0 [copy,123,flip.1] {-} c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OSemi(C,D).
% 3.17/3.36 Following clause subsumed by 123 during input processing: 0 [copy,124,flip.1] {-} c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OWhile(C,D).
% 3.17/3.36 Following clause subsumed by 127 during input processing: 0 [copy,125,flip.1] {-} c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OLocal(C,D,E).
% 3.17/3.36 Following clause subsumed by 128 during input processing: 0 [copy,126,flip.1] {-} c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OCall(C,D,E).
% 3.17/3.36 Following clause subsumed by 125 during input processing: 0 [copy,127,flip.1] {-} c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OWhile(D,E).
% 3.17/3.36 Following clause subsumed by 126 during input processing: 0 [copy,128,flip.1] {-} c_Com_Ocom_OCall(A,B,C)!=c_Com_Ocom_OWhile(D,E).
% 3.17/3.36 Following clause subsumed by 164 during input processing: 0 [copy,163,flip.1] {-} c_Groups_Ozero__class_Ozero(tc_Nat_Onat)!=hAPP(c_Nat_OSuc,A).
% 3.17/3.36 Following clause subsumed by 163 during input processing: 0 [copy,164,flip.1] {-} hAPP(c_Nat_OSuc,A)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 3.17/3.36 Following clause subsumed by 213 during input processing: 0 [copy,212,flip.1] {-} c_Com_Ovname_OLoc(A)!=c_Com_Ovname_OGlb(B).
% 3.84/4.06 Following clause subsumed by 212 during input processing: 0 [copy,213,flip.1] {-} c_Com_Ovname_OGlb(A)!=c_Com_Ovname_OLoc(B).
% 3.84/4.06 Following clause subsumed by 339 during input processing: 0 [copy,338,flip.1] {-} hAPP(c_Sum__Type_OInr(A,B),C)!=hAPP(c_Sum__Type_OInl(B,A),D).
% 3.84/4.06 Following clause subsumed by 338 during input processing: 0 [copy,339,flip.1] {-} hAPP(c_Sum__Type_OInl(A,B),C)!=hAPP(c_Sum__Type_OInr(B,A),D).
% 3.84/4.06 516 back subsumes 513.
% 3.84/4.06 600 back subsumes 598.
% 3.84/4.06 808 back subsumes 804.
% 3.84/4.06 809 back subsumes 805.
% 3.84/4.06 1197 back subsumes 1192.
% 3.84/4.06 1236 back subsumes 1235.
% 3.84/4.06 1529 back subsumes 742.
% 3.84/4.06 Following clause subsumed by 1676 during input processing: 0 [copy,1675,flip.1] {-} c_Int_OBit0(A)!=c_Int_OBit1(B).
% 3.84/4.06 Following clause subsumed by 1675 during input processing: 0 [copy,1676,flip.1] {-} c_Int_OBit1(A)!=c_Int_OBit0(B).
% 3.84/4.06 Following clause subsumed by 1971 during input processing: 0 [copy,1970,flip.1] {-} c_Code__Numeral_OSuc__code__numeral(A)!=c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral).
% 3.84/4.06 Following clause subsumed by 1970 during input processing: 0 [copy,1971,flip.1] {-} c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)!=c_Code__Numeral_OSuc__code__numeral(A).
% 3.84/4.06 2011 back subsumes 1973.
% 3.84/4.06 2017 back subsumes 2015.
% 3.84/4.06 2017 back subsumes 1975.
% 3.84/4.06 2025 back subsumes 2022.
% 3.84/4.06 2032 back subsumes 2028.
% 3.84/4.06 2032 back subsumes 2024.
% 3.84/4.06 2070 back subsumes 2057.
% 3.84/4.06 2451 back subsumes 2273.
% 3.84/4.06 2703 back subsumes 2702.
% 3.84/4.06 2846 back subsumes 2835.
% 3.84/4.06 2847 back subsumes 2836.
% 3.84/4.06 2866 back subsumes 2848.
% 3.84/4.06 2867 back subsumes 2849.
% 3.84/4.06 3042 back subsumes 3041.
% 3.84/4.06 3268 back subsumes 3265.
% 3.84/4.06 4156 back subsumes 4133.
% 3.84/4.06 4163 back subsumes 4162.
% 3.84/4.06 4520 back subsumes 4518.
% 3.84/4.06 Following clause subsumed by 4705 during input processing: 0 [copy,4704,flip.1] {-} c_List_Olist_ONil(A)!=hAPP(hAPP(c_List_Olist_OCons(A),B),C).
% 3.84/4.06 Following clause subsumed by 4704 during input processing: 0 [copy,4705,flip.1] {-} hAPP(hAPP(c_List_Olist_OCons(A),B),C)!=c_List_Olist_ONil(A).
% 3.84/4.06 4998 back subsumes 4992.
% 3.84/4.06 5023 back subsumes 5013.
% 3.84/4.06 5236 back subsumes 5233.
% 3.84/4.06 Following clause subsumed by 696 during input processing: 0 [copy,5251,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).
% 3.84/4.06 5255 back subsumes 5252.
% 3.84/4.06 5275 back subsumes 5274.
% 3.84/4.06 Following clause subsumed by 3285 during input processing: 0 [copy,5611,flip.1] {-} hAPP(c_Set_Oimage(A,tc_fun(A,tc_HOL_Obool),B),C)!=hAPP(c_Set_OPow(A),C).
% 3.84/4.06 5657 back subsumes 5656.
% 3.84/4.06
% 3.84/4.06 ------------> process sos:
% 3.84/4.06 Following clause subsumed by 5770 during input processing: 0 [] {-} c_Natural_Oevaln(c_Com_Ocom_OSKIP,A,B,A).
% 3.84/4.06 Following clause subsumed by 5786 during input processing: 0 [] {-} hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OSKIP)).
% 3.84/4.06 Following clause subsumed by 5791 during input processing: 0 [] {-} hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OAss(A,B))).
% 3.84/4.06 Following clause subsumed by 5798 during input processing: 0 [] {-} c_Natural_Oevaln(c_Com_Ocom_OAss(A,B),C,D,hAPP(hAPP(hAPP(c_Natural_Oupdate,C),A),hAPP(B,C))).
% 3.84/4.06 Following clause subsumed by 5802 during input processing: 0 [] {-} c_Natural_Oevaln(c_Com_Ocom_OWhile(A,B),C,D,C)|hBOOL(hAPP(A,C)).
% 3.84/4.06 Following clause subsumed by 5809 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)))).
% 3.84/4.06 Following clause subsumed by 5810 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(A,B)),C),C))|hBOOL(hAPP(A,C)).
% 3.84/4.06 Following clause subsumed by 5811 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSKIP),A),A)).
% 3.84/4.06 Following clause subsumed by 5963 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)).
% 3.84/4.06 Following clause subsumed by 5963 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)).
% 3.88/4.11 Following clause subsumed by 5965 during input processing: 0 [demod,5827,5827] {-} 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)).
% 3.88/4.11 Following clause subsumed by 5902 during input processing: 0 [demod,6033,5827] {-} c_Com_Ocom_Ocom__size(c_Com_Ocom_OSKIP)=c_Com_Ocom_Ocom__size(c_Com_Ocom_OSKIP).
% 3.88/4.11 Following clause subsumed by 6046 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))).
% 3.88/4.11 Following clause subsumed by 6065 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))).
% 3.88/4.11 Following clause subsumed by 6072 during input processing: 0 [demod,6070] {-} hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B))=hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B)).
% 3.88/4.11 Following clause subsumed by 6084 during input processing: 0 [demod,5827] {-} hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Com_Ocom_Ocom__size(c_Com_Ocom_OSKIP)),A)).
% 3.88/4.11 Following clause subsumed by 6100 during input processing: 0 [demod,6098,5876,5871] {-} hAPP(c_Nat_OSuc,A)=hAPP(c_Nat_OSuc,A).
% 3.88/4.11 Following clause subsumed by 6102 during input processing: 0 [demod,6098,6081,5977,5995] {-} c_Groups_Oone__class_Oone(tc_Int_Oint)=c_Groups_Oone__class_Oone(tc_Int_Oint).
% 3.88/4.11 Following clause subsumed by 6100 during input processing: 0 [demod,6098,6078] {-} 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)).
% 3.88/4.11 Following clause subsumed by 5993 during input processing: 0 [] {-} hBOOL(hAPP(A,c_Divides_Odiv__class_Omod(tc_Int_Oint,B,C)))|C=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),C))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),C),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 3.88/4.11 Following clause subsumed by 5993 during input processing: 0 [] {-} hBOOL(hAPP(A,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),B),C)))|C=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),C))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),C),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 3.88/4.11 Following clause subsumed by 6252 during input processing: 0 [demod,6198,flip.3] {-} A=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|c_Divides_Odiv__class_Omod(tc_Int_Oint,B,A)=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),B),A))),c_Groups_Oone__class_Oone(tc_Int_Oint))=hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),B),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),A)).
% 3.88/4.11 Following clause subsumed by 6268 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).
% 3.88/4.11 Following clause subsumed by 6306 during input processing: 0 [demod,6347,6347,6347] {-} hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),B)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),B).
% 3.88/4.11 Following clause subsumed by 6306 during input processing: 0 [demod,6347,6347,6347] {-} hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),A),B)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),A),B).
% 3.88/4.11 Following clause subsumed by 6306 during input processing: 0 [demod,6347,6347] {-} hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),A)=hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),A).
% 3.88/4.11 Following clause subsumed by 6306 during input processing: 0 [demod,6356,6347] {-} hAPP(c_Int_Onat,A)=hAPP(c_Int_Onat,A).
% 3.88/4.13 Following clause subsumed by 6306 during input processing: 0 [demod,6358] {-} 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).
% 3.88/4.13 Following clause subsumed by 6306 during input processing: 0 [demod,6358] {-} 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).
% 3.88/4.13 Following clause subsumed by 6306 during input processing: 0 [demod,6347,6347,6299,6347] {-} hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),A),B)=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),A),B).
% 3.88/4.13 Following clause subsumed by 6374 during input processing: 0 [demod,6347,6356,6356,6347,6356] {-} 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))).
% 3.88/4.13 Following clause subsumed by 6376 during input processing: 0 [demod,6347,6356,6347] {-} hBOOL(hAPP(c_Nat__Numeral_Oneg,A))|hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,A))=A.
% 3.88/4.13 Following clause subsumed by 6046 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OMin)).
% 3.88/4.13 Following clause subsumed by 6416 during input processing: 0 [demod,6356,6098,5876,5871,6395,6356,flip.2] {-} hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),A),c_Int_OPls))|hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),A),c_Int_OMin))=hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,A)).
% 3.88/4.13 Following clause subsumed by 6046 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OPls)).
% 3.88/4.13 Following clause subsumed by 6306 during input processing: 0 [demod,5827,6442,6356] {-} hAPP(c_Int_Onat,c_Int_OPls)=hAPP(c_Int_Onat,c_Int_OPls).
% 3.88/4.13 Following clause subsumed by 6306 during input processing: 0 [demod,6425,6347] {-} c_Int_OPls=c_Int_OPls.
% 3.88/4.13 Following clause subsumed by 6046 during input processing: 0 [demod,6425,6347] {-} hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OPls)).
% 3.88/4.13 Following clause subsumed by 6306 during input processing: 0 [demod,6473,6467,6473,6429,6429,6347] {-} hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OPls),c_Int_OMin)=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OPls),c_Int_OMin).
% 3.88/4.13 Following clause subsumed by 6306 during input processing: 0 [demod,6467,6473,6429,6429,6356,6476,6098,6442] {-} hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls))=hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls)).
% 3.88/4.13 Following clause subsumed by 6306 during input processing: 0 [demod,6467,6473,6429,6429,6356,6476,5827,6442] {-} hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls))=hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls)).
% 3.88/4.13 Following clause subsumed by 6306 during input processing: 0 [demod,6467,6473,6429,6429,6467,6473,6356,6485,6467,6473,6429,6429,6467,6473,6347,6485] {-} 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)))).
% 3.88/4.13 Following clause subsumed by 6306 during input processing: 0 [demod,6467,6473,6429,6429,6467,6473,6356,6485,5873,5876,5873,5876,5873,5876,6039,6490] {-} c_Divides_Odiv__class_Omod(tc_Nat_Onat,A,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,B))))=c_Divides_Odiv__class_Omod(tc_Nat_Onat,A,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,B)))).
% 3.88/4.13 Following clause subsumed by 6306 during input processing: 0 [demod,6467,6473,6429,6429,6467,6473,6356,6485,5873,5876,5873,5876,5873,5876,6039,6490] {-} c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,A))),B)=c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,A))),B).
% 3.99/4.18 Following clause subsumed by 6306 during input processing: 0 [demod,6356,6467,6473,6429,6429,6467,6473,6356,6485,5873,5876,5873,5876,5873,5876,6039,6490,6356] {-} c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,A))),hAPP(c_Int_Onat,B))=c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,A))),hAPP(c_Int_Onat,B)).
% 3.99/4.18 Following clause subsumed by 6306 during input processing: 0 [demod,6467,6473,6429,6429,6467,6473,6356,6485,5873,5876,5873,5876,5873,5876,6039,6490] {-} hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),A),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,B))))=hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),A),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,B)))).
% 3.99/4.18 Following clause subsumed by 6306 during input processing: 0 [demod,6499,6402,6402,6499,6030] {-} hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_OMin),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),A))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_OMin),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),A)).
% 3.99/4.18 Following clause subsumed by 6306 during input processing: 0 [demod,6449,6473,6499,6452,6473] {-} hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OMin),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OPls),c_Int_OMin))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OMin),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OPls),c_Int_OMin)).
% 3.99/4.18 Following clause subsumed by 6306 during input processing: 0 [demod,5827,6442,6467,6473,6429,6429,6499,6512,6452,6473,6356,6546] {-} 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))).
% 3.99/4.18 Following clause subsumed by 6306 during input processing: 0 [demod,6467,6473,6429,6429,6499,6512,6452,6473,6356,6546,6467,6473,6429,6429,6499,6512,6452,6473,6347,6546] {-} 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))).
% 3.99/4.18 Following clause subsumed by 6306 during input processing: 0 [demod,6098,6442,6098,6442,5876,5873,5876,6039,6551,6467,6473,6429,6429,6499,6512,6452,6473,6356,6546] {-} 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))).
% 3.99/4.18 Following clause subsumed by 6306 during input processing: 0 [demod,6467,6473,6429,6429,6499,6512,6452,6473,6347,6546,5827,6442] {-} 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))).
% 3.99/4.18 Following clause subsumed by 6701 during input processing: 0 [demod,6646] {-} hBOOL(hAPP(c_Divides_Odivmod__nat__rel(A,B),c_Divides_Odivmod__nat(A,B))).
% 3.99/4.18 Following clause subsumed by 6719 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).
% 3.99/4.18 Following clause subsumed by 6749 during input processing: 0 [demod,6425,6704] {-} A=c_Int_OPls|hBOOL(hAPP(c_Divides_Odivmod__int__rel(B,A),c_Divides_Odivmod__int(B,A))).
% 3.99/4.18 Following clause subsumed by 6306 during input processing: 0 [demod,6771] {-} C=C.
% 3.99/4.18 Following clause subsumed by 6772 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)).
% 3.99/4.18 Following clause subsumed by 6772 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)).
% 3.99/4.18 Following clause subsumed by 6306 during input processing: 0 [demod,6837] {-} A=A.
% 3.99/4.18 Following clause subsumed by 6306 during input processing: 0 [demod,6621,6675,6837,6837] {-} hAPP(hAPP(c_Code__Numeral_Osubtract__code__numeral,A),B)=hAPP(hAPP(c_Code__Numeral_Osubtract__code__numeral,A),B).
% 4.04/4.24 Following clause subsumed by 6306 during input processing: 0 [demod,6643,6837,6837] {-} 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).
% 4.04/4.24 Following clause subsumed by 6306 during input processing: 0 [demod,6875] {-} 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)).
% 4.04/4.24 Following clause subsumed by 6772 during input processing: 0 [demod,6875] {-} hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(B,C,D),F),hAPP(E,G))=hAPP(hAPP(F,hAPP(c_Product__Type_Ofst(B,C),hAPP(E,G))),hAPP(c_Product__Type_Osnd(B,C),hAPP(E,G))).
% 4.04/4.24 Following clause subsumed by 6939 during input processing: 0 [] {-} hAPP(hAPP(c_Product__Type_Ocurry(A,B,C,D),E),F)=hAPP(D,hAPP(hAPP(c_Product__Type_OPair(A,B),E),F)).
% 4.04/4.24 Following clause subsumed by 6951 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)))).
% 4.04/4.24 Following clause subsumed by 6955 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)))).
% 4.04/4.24 Following clause subsumed by 6956 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))).
% 4.04/4.24 Following clause subsumed by 6986 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)).
% 4.04/4.24 Following clause subsumed by 6998 during input processing: 0 [demod,6983] {-} c_Nitpick_Ofold__graph_H(A,B,C,D,c_Option_Oset(A,c_Option_Ooption_ONone(A)),D).
% 4.04/4.24 Following clause subsumed by 6306 during input processing: 0 [demod,6983,7033,7016] {-} hAPP(hAPP(c_Set_Oinsert(A),B),C)=hAPP(hAPP(c_Set_Oinsert(A),B),C).
% 4.04/4.24 Following clause subsumed by 7120 during input processing: 0 [demod,6983] {-} hBOOL(hAPP(c_Finite__Set_Ofinite(A),c_Option_Oset(A,c_Option_Ooption_ONone(A)))).
% 4.04/4.24 Following clause subsumed by 7169 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).
% 4.04/4.24 Following clause subsumed by 7170 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).
% 4.04/4.24 Following clause subsumed by 6306 during input processing: 0 [demod,7195,6796] {-} hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool)),B),C)=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool)),B),C).
% 4.07/4.29 Following clause subsumed by 7203 during input processing: 0 [demod,6983,7082,flip.1] {-} c_SetInterval_Oord_OgreaterThanAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),A,B)=hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),c_Option_Oset(tc_Int_Oint,c_Option_Ooption_ONone(tc_Int_Oint)))|hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),A),B)).
% 4.07/4.29 Following clause subsumed by 7205 during input processing: 0 [demod,6983,7082,flip.1] {-} c_SetInterval_Oord_OatLeastLessThan(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),A,B)=hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),c_Option_Oset(tc_Int_Oint,c_Option_Ooption_ONone(tc_Int_Oint)))|hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),A),B)).
% 4.07/4.29 Following clause subsumed by 7210 during input processing: 0 [demod,6983,7082,flip.1] {-} c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),A,B)=hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),c_Option_Oset(tc_Int_Oint,c_Option_Ooption_ONone(tc_Int_Oint)))|hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),A),B)).
% 4.07/4.29 Following clause subsumed by 7219 during input processing: 0 [demod,5827,6442] {-} hAPP(c_Finite__Set_Ocard(A),B)=hAPP(c_Int_Onat,c_Int_OPls)|hBOOL(hAPP(c_Finite__Set_Ofinite(A),B)).
% 4.07/4.29 Following clause subsumed by 7260 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)).
% 4.07/4.29 Following clause subsumed by 7281 during input processing: 0 [demod,7195] {-} 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)).
% 4.07/4.29 Following clause subsumed by 7219 during input processing: 0 [demod,5827,6442] {-} hBOOL(hAPP(c_Finite__Set_Ofinite(A),B))|hAPP(c_Finite__Set_Ocard(A),B)=hAPP(c_Int_Onat,c_Int_OPls).
% 4.07/4.29 Following clause subsumed by 7400 during input processing: 0 [demod,6425] {-} hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint,c_Int_OPls),A))).
% 4.07/4.29 Following clause subsumed by 7424 during input processing: 0 [] {-} A=B|hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(C,D),E),B),F),A)=hAPP(E,A).
% 4.07/4.29 Following clause subsumed by 7424 during input processing: 0 [] {-} A=B|hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(C,D),E),B),F),A)=hAPP(E,A).
% 4.18/4.41 Following clause subsumed by 7419 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).
% 4.18/4.41 Following clause subsumed by 6306 during input processing: 0 [demod,7453,7382,7418,7432] {-} c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(c_Int_Onat,c_Int_OPls),A)=c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(c_Int_Onat,c_Int_OPls),A).
% 4.18/4.41 Following clause subsumed by 7472 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).
% 4.18/4.41 Following clause subsumed by 6306 during input processing: 0 [demod,7493,6023] {-} hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(A,tc_Nat_Onat),B),C)=hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(A,tc_Nat_Onat),B),C).
% 4.18/4.41 Following clause subsumed by 6306 during input processing: 0 [demod,7505,7505,6983,7082,7456,7502] {-} hAPP(c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,A)))=hAPP(c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,A))).
% 4.18/4.41 Following clause subsumed by 6306 during input processing: 0 [demod,7507] {-} hAPP(D,hAPP(E,F))=hAPP(D,hAPP(E,F)).
% 4.18/4.41 Following clause subsumed by 7536 during input processing: 0 [demod,6983] {-} hBOOL(hAPP(c_Finite__Set_Ofold__graph(A,B,C,D,c_Option_Oset(A,c_Option_Ooption_ONone(A))),D)).
% 4.18/4.41 Following clause subsumed by 6306 during input processing: 0 [demod,7059] {-} hAPP(c_Set_Oimage(C,B,D),hAPP(c_Set_Oimage(A,C,E),c_Orderings_Otop__class_Otop(tc_fun(A,tc_HOL_Obool))))=hAPP(c_Set_Oimage(C,B,D),hAPP(c_Set_Oimage(A,C,E),c_Orderings_Otop__class_Otop(tc_fun(A,tc_HOL_Obool)))).
% 4.18/4.41 Following clause subsumed by 6306 during input processing: 0 [demod,7574,6796,6983] {-} c_Option_Oset(A,c_Option_Ooption_ONone(A))=c_Option_Oset(A,c_Option_Ooption_ONone(A)).
% 4.18/4.41 Following clause subsumed by 7647 during input processing: 0 [] {-} hAPP(hAPP(c_Product__Type_OSigma(A,B),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool)),C),D)),hAPP(c_COMBK(tc_fun(B,tc_HOL_Obool),A),E))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(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))).
% 4.18/4.41 Following clause subsumed by 6306 during input processing: 0 [demod,7704] {-} c_Product__Type_Omap__pair(E,C,F,D,hAPP(c_Fun_Ocomp(A,C,E,G),I),hAPP(c_Fun_Ocomp(B,D,F,H),J))=c_Product__Type_Omap__pair(E,C,F,D,hAPP(c_Fun_Ocomp(A,C,E,G),I),hAPP(c_Fun_Ocomp(B,D,F,H),J)).
% 4.18/4.41 Following clause subsumed by 7736 during input processing: 0 [] {-} hAPP(hAPP(c_Set_Oinsert(A),B),C)=hAPP(c_Set_OCollect(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),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))).
% 4.18/4.41 Following clause subsumed by 7797 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).
% 4.18/4.41 Following clause subsumed by 6306 during input processing: 0 [demod,7836] {-} B=B.
% 4.18/4.41 Following clause subsumed by 6306 during input processing: 0 [demod,7574,7850,7574] {-} hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(A,tc_HOL_Obool)),c_Option_Oset(A,c_Option_Ooption_ONone(A)))=hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(A,tc_HOL_Obool)),c_Option_Oset(A,c_Option_Ooption_ONone(A))).
% 4.18/4.41 Following clause subsumed by 6306 during input processing: 0 [demod,7998,8012] {-} c_Transitive__Closure_Otrancl(A,B)=c_Transitive__Closure_Otrancl(A,B).
% 4.36/4.55 Following clause subsumed by 8035 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)).
% 4.36/4.55 Following clause subsumed by 6306 during input processing: 0 [demod,8083] {-} hAPP(c_Relation_ORange(A,B),C)=hAPP(c_Relation_ORange(A,B),C).
% 4.36/4.55 Following clause subsumed by 6306 during input processing: 0 [demod,8227] {-} 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).
% 4.36/4.55 Following clause subsumed by 6306 during input processing: 0 [demod,8241] {-} 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).
% 4.36/4.55 Following clause subsumed by 8328 during input processing: 0 [] {-} hAPP(hAPP(c_List_Omap(A,B),C),hAPP(hAPP(c_List_Omap(D,A),E),F))=hAPP(hAPP(c_List_Omap(D,B),hAPP(c_Fun_Ocomp(A,B,D,C),E)),F).
% 4.36/4.55 Following clause subsumed by 8329 during input processing: 0 [] {-} hAPP(c_Fun_Ocomp(tc_List_Olist(A),tc_List_Olist(B),tc_List_Olist(C),hAPP(c_List_Omap(A,B),D)),hAPP(c_List_Omap(C,A),E))=hAPP(c_List_Omap(C,B),hAPP(c_Fun_Ocomp(A,B,C,D),E)).
% 4.36/4.55 Following clause subsumed by 8356 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).
% 4.36/4.55 Following clause subsumed by 7515 during input processing: 0 [demod,7919,8367] {-} 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,c_Map_Omap__of(A,B,C)))).
% 4.36/4.55 Following clause subsumed by 6306 during input processing: 0 [demod,8378] {-} c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,A,B)=c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,A,B).
% 4.36/4.55 Following clause subsumed by 8464 during input processing: 0 [demod,6356,5827,6442,6356,8459,6356,6098,6442,7250,7490] {-} 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)))).
% 4.36/4.55 Following clause subsumed by 8524 during input processing: 0 [] {-} hAPP(c_Map_Omap__of(A,B,c_List_Olist_ONil(tc_prod(A,B))),C)=c_Option_Ooption_ONone(B).
% 4.36/4.55 Following clause subsumed by 6306 during input processing: 0 [demod,8526] {-} c_List_Olist_ONil(A)=c_List_Olist_ONil(A).
% 4.36/4.55 Following clause subsumed by 8533 during input processing: 0 [] {-} c_List_Olistrelp(A,B,c_List_Olist_ONil(A),c_List_Olist_ONil(A)).
% 4.36/4.55 Following clause subsumed by 8544 during input processing: 0 [demod,6347,6347,6347,6347] {-} 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).
% 5.64/5.90 Following clause subsumed by 8548 during input processing: 0 [demod,6356,5827,6442,6356,8484,6356,6098,6442,7250,7490,8484,flip.2] {-} hAPP(c_Int_Onat,A)=hAPP(c_Int_Onat,c_Int_OPls)|hAPP(hAPP(c_List_Olist_OCons(B),C),c_List_Osublist(B,D,hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(c_Int_Onat,c_Int_OPls)),hAPP(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))))))=c_List_Osublist(B,hAPP(hAPP(c_List_Olist_OCons(B),C),D),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(c_Int_Onat,c_Int_OPls)),hAPP(c_Int_Onat,A))).
% 5.64/5.90 Following clause subsumed by 8673 during input processing: 0 [demod,6356,5827,6442,6356,6356,6098,6442,7250,7490] {-} 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).
% 5.64/5.90 Following clause subsumed by 8682 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).
% 5.64/5.90 Following clause subsumed by 6306 during input processing: 0 [demod,8694] {-} c_List_Otl(A,hAPP(hAPP(c_List_Odrop(A),B),C))=c_List_Otl(A,hAPP(hAPP(c_List_Odrop(A),B),C)).
% 5.64/5.90 Following clause subsumed by 8766 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).
% 5.64/5.90 Following clause subsumed by 8767 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).
% 5.64/5.90 Following clause subsumed by 6306 during input processing: 0 [demod,8785] {-} c_List_Obutlast(A,hAPP(hAPP(c_List_Odrop(A),B),C))=c_List_Obutlast(A,hAPP(hAPP(c_List_Odrop(A),B),C)).
% 5.64/5.90 Following clause subsumed by 8876 during input processing: 0 [demod,7453,5827,6442,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).
% 5.64/5.90 Following clause subsumed by 6306 during input processing: 0 [demod,7418,7432,5827,6442,8891] {-} 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).
% 5.64/5.90 Following clause subsumed by 6306 during input processing: 0 [] {-} A=A.
% 5.64/5.90 Following clause subsumed by 5862 during input processing: 0 [copy,5862,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).
% 5.64/5.90 Following clause subsumed by 5863 during input processing: 0 [copy,5863,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)).
% 5.64/5.90 Following clause subsumed by 6306 during input processing: 0 [copy,5878,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)).
% 5.64/5.90 Following clause subsumed by 6306 during input processing: 0 [copy,5902,flip.1,demod,6442,6442] {-} hAPP(c_Int_Onat,c_Int_OPls)=hAPP(c_Int_Onat,c_Int_OPls).
% 5.64/5.90 Following clause subsumed by 5998 during input processing: 0 [copy,5998,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).
% 5.64/5.90 Following clause subsumed by 5999 during input processing: 0 [copy,5999,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)).
% 5.64/5.90 Following clause subsumed by 6306 during input processing: 0 [copy,6003,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)).
% 5.64/5.90 Following clause subsumed by 6306 during input processing: 0 [copy,6005,flip.1,demod,6425,6425] {-} c_Int_OPls=c_Int_OPls.
% 5.64/5.90 6005 back subsumes 5769.
% 5.64/5.90 6005 back subsumes 5768.
% 5.96/6.18 Following clause subsumed by 6012 during input processing: 0 [copy,6012,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).
% 5.96/6.18 Following clause subsumed by 6042 during input processing: 0 [copy,6042,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).
% 5.96/6.18 6045 back subsumes 5305.
% 5.96/6.18 6045 back subsumes 1094.
% 5.96/6.18 6065 back subsumes 5246.
% 5.96/6.18 Following clause subsumed by 6306 during input processing: 0 [copy,6072,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)).
% 5.96/6.18 6085 back subsumes 5320.
% 5.96/6.18 Following clause subsumed by 6306 during input processing: 0 [copy,6100,flip.1] {-} hAPP(c_Nat_OSuc,A)=hAPP(c_Nat_OSuc,A).
% 5.96/6.18 6100 back subsumes 5878.
% 5.96/6.18 Following clause subsumed by 6306 during input processing: 0 [copy,6102,flip.1,demod,6473,6473] {-} hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OPls),c_Int_OMin)=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OPls),c_Int_OMin).
% 5.96/6.18 Following clause subsumed by 6306 during input processing: 0 [copy,6118,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).
% 5.96/6.18 Following clause subsumed by 6306 during input processing: 0 [copy,6125,flip.1,demod,6402,6402] {-} 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)).
% 5.96/6.18 Following clause subsumed by 6306 during input processing: 0 [copy,6177,flip.1,demod,6800,6800] {-} hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Product__Type_Ofst(tc_Nat_Onat,tc_Nat_Onat),c_Divides_Odivmod__nat(A,B)))=hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Product__Type_Ofst(tc_Nat_Onat,tc_Nat_Onat),c_Divides_Odivmod__nat(A,B))).
% 5.96/6.18 Following clause subsumed by 6306 during input processing: 0 [copy,6200,flip.1,demod,6774,6774] {-} hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_Odivmod__int(A,B))=hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_Odivmod__int(A,B)).
% 5.96/6.18 Following clause subsumed by 6306 during input processing: 0 [copy,6226,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)).
% 5.96/6.18 Following clause subsumed by 6306 during input processing: 0 [copy,6301,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).
% 5.96/6.18 Following clause subsumed by 6306 during input processing: 0 [copy,6306,flip.1] {-} A=A.
% 5.96/6.18 6306 back subsumes 6301.
% 5.96/6.18 6306 back subsumes 6226.
% 5.96/6.18 6306 back subsumes 6200.
% 5.96/6.18 6306 back subsumes 6177.
% 5.96/6.18 6306 back subsumes 6125.
% 5.96/6.18 6306 back subsumes 6118.
% 5.96/6.18 6306 back subsumes 6102.
% 5.96/6.18 6306 back subsumes 6100.
% 5.96/6.18 6306 back subsumes 6072.
% 5.96/6.18 6306 back subsumes 6005.
% 5.96/6.18 6306 back subsumes 6003.
% 5.96/6.18 6306 back subsumes 5902.
% 5.96/6.18 6306 back subsumes 5748.
% 5.96/6.18 6306 back subsumes 5747.
% 5.96/6.18 6306 back subsumes 5741.
% 5.96/6.18 6306 back subsumes 5740.
% 5.96/6.18 6306 back subsumes 5739.
% 5.96/6.18 6306 back subsumes 5738.
% 5.96/6.18 6306 back subsumes 5737.
% 5.96/6.18 6306 back subsumes 5720.
% 5.96/6.18 6306 back subsumes 5719.
% 5.96/6.18 6306 back subsumes 5715.
% 5.96/6.18 6306 back subsumes 5714.
% 5.96/6.18 6306 back subsumes 5713.
% 5.96/6.18 6306 back subsumes 5708.
% 5.96/6.18 6306 back subsumes 5706.
% 5.96/6.18 6306 back subsumes 5704.
% 5.96/6.18 6306 back subsumes 5702.
% 5.96/6.18 6306 back subsumes 5673.
% 5.96/6.18 6306 back subsumes 5672.
% 5.96/6.18 6306 back subsumes 5661.
% 5.96/6.18 6306 back subsumes 5660.
% 5.96/6.18 6306 back subsumes 5635.
% 5.96/6.18 6306 back subsumes 5634.
% 5.96/6.18 6306 back subsumes 5633.
% 5.96/6.18 6306 back subsumes 5609.
% 5.96/6.18 6306 back subsumes 5608.
% 5.96/6.18 6306 back subsumes 5597.
% 5.96/6.18 6306 back subsumes 5544.
% 5.96/6.18 6306 back subsumes 5543.
% 5.96/6.18 6306 back subsumes 5528.
% 5.96/6.18 6306 back subsumes 5525.
% 9.62/9.92 6306 back subsumes 5522.
% 9.62/9.92 6306 back subsumes 5521.
% 9.62/9.92 6306 back subsumes 5494.
% 9.62/9.92 6306 back subsumes 5493.
% 9.62/9.92 6306 back subsumes 5486.
% 9.62/9.92 6306 back subsumes 5485.
% 9.62/9.92 6306 back subsumes 5483.
% 9.62/9.92 6306 back subsumes 5468.
% 9.62/9.92 6306 back subsumes 5441.
% 9.62/9.92 6306 back subsumes 5434.
% 9.62/9.92 6306 back subsumes 5432.
% 9.62/9.92 6306 back subsumes 5428.
% 9.62/9.92 6306 back subsumes 5390.
% 9.62/9.92 6306 back subsumes 5354.
% 9.62/9.92 6306 back subsumes 5345.
% 9.62/9.92 6306 back subsumes 5344.
% 9.62/9.92 6306 back subsumes 5340.
% 9.62/9.92 6306 back subsumes 5323.
% 9.62/9.92 6306 back subsumes 5322.
% 9.62/9.92 6306 back subsumes 5278.
% 9.62/9.92 6306 back subsumes 5277.
% 9.62/9.92 6306 back subsumes 5269.
% 9.62/9.92 6306 back subsumes 5248.
% 9.62/9.92 6306 back subsumes 5247.
% 9.62/9.92 6306 back subsumes 5194.
% 9.62/9.92 6306 back subsumes 5165.
% 9.62/9.92 6306 back subsumes 5152.
% 9.62/9.92 6462 back subsumes 6460.
% 9.62/9.92 6781 back subsumes 5657.
% 9.62/9.92 6781 back subsumes 5519.
% 9.62/9.92 6781 back subsumes 5491.
% 9.62/9.92 Following clause subsumed by 10442 during input processing: 0 [copy,6891,flip.1] {-} hAPP(hAPP(A,B),C)=hAPP(hAPP(c_Product__Type_Ointernal__split(D,E,F),A),hAPP(hAPP(c_Product__Type_OPair(D,E),B),C)).
% 9.62/9.92 Following clause subsumed by 7029 during input processing: 0 [copy,6954,flip.1,demod,7771,7771,7771,7771] {-} hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(A,A,tc_HOL_Obool),c_fequal),B)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(A,A,tc_HOL_Obool),c_fequal),C)),D))=hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(A,A,tc_HOL_Obool),c_fequal),C)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(A,A,tc_HOL_Obool),c_fequal),B)),D)).
% 9.62/9.92 Following clause subsumed by 7026 during input processing: 0 [copy,7026,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).
% 9.62/9.92 Following clause subsumed by 7029 during input processing: 0 [copy,7029,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)).
% 9.62/9.92 Following clause subsumed by 7029 during input processing: 0 [copy,7034,flip.1,demod,7771,7771] {-} hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(A,A,tc_HOL_Obool),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(hAPP(c_COMBC(A,A,tc_HOL_Obool),c_fequal),B)),D)).
% 10.11/10.39 Following clause subsumed by 6306 during input processing: 0 [copy,7184,flip.1,demod,8205,7195,10567] {-} c_Complete__Lattice_OInf__class_OInf(tc_fun(A,tc_HOL_Obool),hAPP(c_Relation_ORange(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),hAPP(c_Relation_ODomain(tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),tc_fun(A,tc_HOL_Obool)),hAPP(c_Product__Type_Ointernal__split(tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),tc_fun(A,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),tc_fun(tc_fun(A,tc_HOL_Obool),tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool))),tc_fun(tc_fun(A,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),tc_HOL_Obool),tc_fun(tc_fun(tc_fun(A,tc_HOL_Obool),tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool))),tc_fun(tc_fun(A,tc_HOL_Obool),tc_HOL_Obool)),tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool))),c_COMBB(tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),tc_HOL_Obool,tc_fun(A,tc_HOL_Obool))),c_fequal)),hAPP(hAPP(c_COMBS(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool),tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool))),c_Product__Type_OPair(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool))),c_COMBI(tc_fun(A,tc_HOL_Obool))))))))=c_Complete__Lattice_OInf__class_OInf(tc_fun(A,tc_HOL_Obool),hAPP(c_Relation_ORange(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),hAPP(c_Relation_ODomain(tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),tc_fun(A,tc_HOL_Obool)),hAPP(c_Product__Type_Ointernal__split(tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),tc_fun(A,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),tc_fun(tc_fun(A,tc_HOL_Obool),tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool))),tc_fun(tc_fun(A,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),tc_HOL_Obool),tc_fun(tc_fun(tc_fun(A,tc_HOL_Obool),tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool))),tc_fun(tc_fun(A,tc_HOL_Obool),tc_HOL_Obool)),tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool))),c_COMBB(tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),tc_HOL_Obool,tc_fun(A,tc_HOL_Obool))),c_fequal)),hAPP(hAPP(c_COMBS(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool),tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool))),c_Product__Type_OPair(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool))),c_COMBI(tc_fun(A,tc_HOL_Obool)))))))).
% 10.11/10.39 Following clause subsumed by 6306 during input processing: 0 [copy,7186,flip.1,demod,8205,7195,6796,10567] {-} c_Complete__Lattice_OInf__class_OInf(tc_fun(A,tc_HOL_Obool),hAPP(c_Relation_ORange(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),hAPP(c_Relation_ODomain(tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),tc_fun(A,tc_HOL_Obool)),hAPP(c_Product__Type_Ointernal__split(tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),tc_fun(A,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),tc_fun(tc_fun(A,tc_HOL_Obool),tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool))),tc_fun(tc_fun(A,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),tc_HOL_Obool),tc_fun(tc_fun(tc_fun(A,tc_HOL_Obool),tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool))),tc_fun(tc_fun(A,tc_HOL_Obool),tc_HOL_Obool)),tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool))),c_COMBB(tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),tc_HOL_Obool,tc_fun(A,tc_HOL_Obool))),c_fequal)),hAPP(hAPP(c_COMBS(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool),tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool))),c_Product__Type_OPair(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool))),c_COMBI(tc_fun(A,tc_HOL_Obool))))))))=c_Complete__Lattice_OInf__class_OInf(tc_fun(A,tc_HOL_Obool),hAPP(c_Relation_ORange(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),hAPP(c_Relation_ODomain(tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),tc_fun(A,tc_HOL_Obool)),hAPP(c_Product__Type_Ointernal__split(tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),tc_fun(A,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),tc_fun(tc_fun(A,tc_HOL_Obool),tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool))),tc_fun(tc_fun(A,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),tc_HOL_Obool),tc_fun(tc_fun(tc_fun(A,tc_HOL_Obool),tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool))),tc_fun(tc_fun(A,tc_HOL_Obool),tc_HOL_Obool)),tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool))),c_COMBB(tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),tc_HOL_Obool,tc_fun(A,tc_HOL_Obool))),c_fequal)),hAPP(hAPP(c_COMBS(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool),tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool))),c_Product__Type_OPair(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool))),c_COMBI(tc_fun(A,tc_HOL_Obool)))))))).
% 10.43/10.67 Following clause subsumed by 7260 during input processing: 0 [copy,7259,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)).
% 10.43/10.67 Following clause subsumed by 7259 during input processing: 0 [copy,7260,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).
% 10.43/10.67 Following clause subsumed by 7273 during input processing: 0 [copy,7271,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).
% 10.43/10.67 Following clause subsumed by 7271 during input processing: 0 [copy,7273,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)).
% 10.43/10.67 Following clause subsumed by 7287 during input processing: 0 [copy,7286,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).
% 10.43/10.67 Following clause subsumed by 7286 during input processing: 0 [copy,7287,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)).
% 10.43/10.67 Following clause subsumed by 8893 during input processing: 0 [copy,7352,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).
% 10.43/10.67 7508 back subsumes 3669.
% 10.84/11.13 Following clause subsumed by 6306 during input processing: 0 [copy,7578,flip.1,demod,8205,10567] {-} hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(A,tc_HOL_Obool)),c_Complete__Lattice_OInf__class_OInf(tc_fun(A,tc_HOL_Obool),hAPP(c_Relation_ORange(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),hAPP(c_Relation_ODomain(tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),tc_fun(A,tc_HOL_Obool)),hAPP(c_Product__Type_Ointernal__split(tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),tc_fun(A,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),tc_fun(tc_fun(A,tc_HOL_Obool),tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool))),tc_fun(tc_fun(A,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),tc_HOL_Obool),tc_fun(tc_fun(tc_fun(A,tc_HOL_Obool),tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool))),tc_fun(tc_fun(A,tc_HOL_Obool),tc_HOL_Obool)),tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool))),c_COMBB(tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),tc_HOL_Obool,tc_fun(A,tc_HOL_Obool))),c_fequal)),hAPP(hAPP(c_COMBS(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool),tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool))),c_Product__Type_OPair(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool))),c_COMBI(tc_fun(A,tc_HOL_Obool)))))))))=hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(A,tc_HOL_Obool)),c_Complete__Lattice_OInf__class_OInf(tc_fun(A,tc_HOL_Obool),hAPP(c_Relation_ORange(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),hAPP(c_Relation_ODomain(tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),tc_fun(A,tc_HOL_Obool)),hAPP(c_Product__Type_Ointernal__split(tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),tc_fun(A,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),tc_fun(tc_fun(A,tc_HOL_Obool),tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool))),tc_fun(tc_fun(A,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),tc_HOL_Obool),tc_fun(tc_fun(tc_fun(A,tc_HOL_Obool),tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool))),tc_fun(tc_fun(A,tc_HOL_Obool),tc_HOL_Obool)),tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool))),c_COMBB(tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),tc_HOL_Obool,tc_fun(A,tc_HOL_Obool))),c_fequal)),hAPP(hAPP(c_COMBS(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool),tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool))),c_Product__Type_OPair(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool))),c_COMBI(tc_fun(A,tc_HOL_Obool))))))))).
% 10.84/11.13 7663 back subsumes 7662.
% 10.84/11.13 7674 back subsumes 7672.
% 10.84/11.13 7989 back subsumes 5705.
% 10.84/11.13 Following clause subsumed by 8045 during input processing: 0 [copy,8044,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).
% 10.84/11.13 Following clause subsumed by 8044 during input processing: 0 [copy,8045,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)).
% 10.84/11.13 Following clause subsumed by 8077 during input processing: 0 [copy,8076,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)).
% 10.84/11.13 Following clause subsumed by 8076 during input processing: 0 [copy,8077,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).
% 10.84/11.13 Following clause subsumed by 8210 during input processing: 0 [copy,8209,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).
% 10.84/11.13 Following clause subsumed by 8209 during input processing: 0 [copy,8210,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)).
% 11.03/11.28 Following clause subsumed by 8264 during input processing: 0 [copy,8263,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)).
% 11.03/11.28 Following clause subsumed by 8263 during input processing: 0 [copy,8264,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).
% 11.03/11.28 Following clause subsumed by 11185 during input processing: 0 [copy,8362,flip.1] {-} c_Option_Ooption_ONone(A)=hAPP(hAPP(c_Option_Omap(B,A),C),c_Option_Ooption_ONone(B)).
% 11.03/11.28 Following clause subsumed by 8386 during input processing: 0 [copy,8386,flip.1] {-} c_List_Oremove1(A,B,c_List_Oremove1(A,C,D))=c_List_Oremove1(A,C,c_List_Oremove1(A,B,D)).
% 11.03/11.28 8492 back subsumes 4722.
% 11.03/11.28 8544 back subsumes 4731.
% 11.03/11.28 Following clause subsumed by 8877 during input processing: 0 [copy,8876,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)).
% 11.03/11.28 Following clause subsumed by 8876 during input processing: 0 [copy,8877,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).
% 11.03/11.28 8883 back subsumes 8872.
% 11.03/11.28 Following clause subsumed by 7352 during input processing: 0 [copy,8893,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).
% 11.03/11.28 Following clause subsumed by 5778 during input processing: 0 [copy,9158,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).
% 11.03/11.28 Following clause subsumed by 5782 during input processing: 0 [copy,9159,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).
% 11.03/11.28 Following clause subsumed by 5787 during input processing: 0 [copy,9160,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).
% 11.03/11.28 Following clause subsumed by 5788 during input processing: 0 [copy,9161,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).
% 11.03/11.28 Following clause subsumed by 5789 during input processing: 0 [copy,9162,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).
% 11.03/11.28 Following clause subsumed by 5790 during input processing: 0 [copy,9163,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).
% 11.03/11.28 Following clause subsumed by 5792 during input processing: 0 [copy,9164,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).
% 11.03/11.28 Following clause subsumed by 5796 during input processing: 0 [copy,9165,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).
% 11.03/11.28 Following clause subsumed by 5797 during input processing: 0 [copy,9166,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).
% 11.03/11.28 Following clause subsumed by 5799 during input processing: 0 [copy,9167,flip.1] {-} c_Nat_Onat_Onat__case(A,B,C,hAPP(c_Nat_OSuc,D))=hAPP(C,D).
% 11.03/11.28 Following clause subsumed by 5800 during input processing: 0 [copy,9168,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)).
% 11.03/11.28 Following clause subsumed by 5801 during input processing: 0 [copy,9169,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).
% 11.03/11.28 Following clause subsumed by 5803 during input processing: 0 [copy,9170,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).
% 11.03/11.30 Following clause subsumed by 5807 during input processing: 0 [copy,9171,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).
% 11.03/11.30 Following clause subsumed by 5823 during input processing: 0 [copy,9174,flip.1] {-} c_Com_Ovname_Ovname__rec(A,B,C,c_Com_Ovname_OLoc(D))=hAPP(C,D).
% 11.03/11.30 Following clause subsumed by 5824 during input processing: 0 [copy,9175,flip.1] {-} c_Com_Ovname_Ovname__case(A,B,C,c_Com_Ovname_OLoc(D))=hAPP(C,D).
% 11.03/11.30 Following clause subsumed by 5851 during input processing: 0 [copy,9489,flip.1] {-} c_Com_Ovname_Ovname__case(A,B,C,c_Com_Ovname_OGlb(D))=hAPP(B,D).
% 11.03/11.30 Following clause subsumed by 5852 during input processing: 0 [copy,9490,flip.1] {-} c_Com_Ovname_Ovname__rec(A,B,C,c_Com_Ovname_OGlb(D))=hAPP(B,D).
% 11.03/11.30 Following clause subsumed by 6306 during input processing: 0 [copy,9495,flip.1,demod,10229,11321] {-} hAPP(c_Nat_OSuc,c_Com_Ocom_Ocom__size(A))=hAPP(c_Nat_OSuc,c_Com_Ocom_Ocom__size(A)).
% 11.03/11.30 Following clause subsumed by 6306 during input processing: 0 [copy,9496,flip.1,demod,10229,11318] {-} hAPP(c_Nat_OSuc,c_Com_Ocom_Ocom__size(A))=hAPP(c_Nat_OSuc,c_Com_Ocom_Ocom__size(A)).
% 11.03/11.30 Following clause subsumed by 9498 during input processing: 0 [copy,9497,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)).
% 11.03/11.30 Following clause subsumed by 9497 during input processing: 0 [copy,9498,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)).
% 11.03/11.30 Following clause subsumed by 5920 during input processing: 0 [copy,9499,flip.1] {-} c_Option_Ooption_Ooption__size(A,B,hAPP(c_Option_Ooption_OSome(A),C))=hAPP(c_Nat_OSuc,hAPP(B,C)).
% 11.03/11.30 Following clause subsumed by 5936 during input processing: 0 [copy,9500,flip.1] {-} c_Option_Ooption_Ooption__rec(A,B,C,D,hAPP(c_Option_Ooption_OSome(B),E))=hAPP(D,E).
% 11.03/11.30 Following clause subsumed by 5945 during input processing: 0 [copy,9501,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))).
% 11.03/11.30 Following clause subsumed by 5949 during input processing: 0 [copy,9502,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).
% 11.03/11.30 Following clause subsumed by 5950 during input processing: 0 [copy,9503,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).
% 11.03/11.30 Following clause subsumed by 5952 during input processing: 0 [copy,9504,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)).
% 11.03/11.30 Following clause subsumed by 5954 during input processing: 0 [copy,9505,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)).
% 11.03/11.30 Following clause subsumed by 5987 during input processing: 0 [copy,9506,flip.1] {-} c_Sum__Type_Osum_Osum__rec(A,B,C,D,E,hAPP(c_Sum__Type_OInl(A,C),F))=hAPP(D,F).
% 11.03/11.30 Following clause subsumed by 5988 during input processing: 0 [copy,9507,flip.1] {-} c_Sum__Type_Osum_Osum__rec(A,B,C,D,E,hAPP(c_Sum__Type_OInr(C,A),F))=hAPP(E,F).
% 11.03/11.30 Following clause subsumed by 6027 during input processing: 0 [copy,9538,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)).
% 11.03/11.30 Following clause subsumed by 6053 during input processing: 0 [copy,9544,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)).
% 11.13/11.42 Following clause subsumed by 6061 during input processing: 0 [copy,9545,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)).
% 11.13/11.42 Following clause subsumed by 10488 during input processing: 0 [copy,9592,flip.1] {-} hAPP(c_Product__Type_Ofst(tc_Nat_Onat,tc_Nat_Onat),c_Divides_Odivmod__nat(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),B),C)))=hAPP(c_Product__Type_Ofst(tc_Nat_Onat,tc_Nat_Onat),c_Divides_Odivmod__nat(hAPP(c_Product__Type_Ofst(tc_Nat_Onat,tc_Nat_Onat),c_Divides_Odivmod__nat(A,B)),C)).
% 11.13/11.42 Following clause subsumed by 9602 during input processing: 0 [copy,9602,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)))).
% 11.13/11.42 Following clause subsumed by 10724 during input processing: 0 [copy,9605,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)).
% 11.13/11.42 Following clause subsumed by 6282 during input processing: 0 [copy,9606,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)).
% 11.13/11.42 Following clause subsumed by 10456 during input processing: 0 [copy,9632,flip.1] {-} hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),A),hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_Odivmod__int(B,A)))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B),c_Divides_Odiv__class_Omod(tc_Int_Oint,B,A)).
% 11.13/11.42 9707 back subsumes 9539.
% 11.13/11.42 Following clause subsumed by 6414 during input processing: 0 [copy,9779,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)))).
% 11.13/11.42 10095 back subsumes 9518.
% 11.13/11.42 10149 back subsumes 9710.
% 11.13/11.42 10162 back subsumes 9306.
% 11.13/11.42 10194 back subsumes 9302.
% 11.13/11.42 10205 back subsumes 9300.
% 11.13/11.42 10205 back subsumes 9299.
% 11.13/11.42 10260 back subsumes 10259.
% 11.13/11.42 10358 back subsumes 9839.
% 11.13/11.42 10358 back subsumes 9838.
% 11.13/11.42 10358 back subsumes 9837.
% 11.13/11.42 Following clause subsumed by 6501 during input processing: 0 [copy,10374,flip.1] {-} hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B),B)))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),B))).
% 11.19/11.45 Following clause subsumed by 6503 during input processing: 0 [copy,10375,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)).
% 11.19/11.45 Following clause subsumed by 6505 during input processing: 0 [copy,10376,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)).
% 11.19/11.45 Following clause subsumed by 6559 during input processing: 0 [copy,10389,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).
% 11.19/11.45 Following clause subsumed by 10507 during input processing: 0 [copy,10400,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).
% 11.19/11.45 10403 back subsumes 9625.
% 11.19/11.45 Following clause subsumed by 6640 during input processing: 0 [copy,10410,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))).
% 11.19/11.45 Following clause subsumed by 6695 during input processing: 0 [copy,10440,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).
% 11.19/11.45 Following clause subsumed by 6715 during input processing: 0 [copy,10441,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)).
% 11.19/11.45 Following clause subsumed by 6891 during input processing: 0 [copy,10442,flip.1] {-} hAPP(hAPP(c_Product__Type_Ointernal__split(A,B,C),D),hAPP(hAPP(c_Product__Type_OPair(A,B),E),F))=hAPP(hAPP(D,E),F).
% 11.19/11.45 Following clause subsumed by 6726 during input processing: 0 [copy,10443,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)).
% 11.19/11.45 Following clause subsumed by 6739 during input processing: 0 [copy,10444,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)).
% 11.19/11.45 Following clause subsumed by 6765 during input processing: 0 [copy,10448,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).
% 11.19/11.45 Following clause subsumed by 10521 during input processing: 0 [copy,10449,flip.1] {-} hAPP(hAPP(c_Product__Type_Ointernal__split(A,B,C),D),E)=hAPP(hAPP(D,hAPP(c_Product__Type_Ofst(A,B),E)),hAPP(c_Product__Type_Osnd(A,B),E)).
% 11.19/11.45 Following clause subsumed by 9632 during input processing: 0 [copy,10456,flip.1] {-} hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),A),c_Divides_Odiv__class_Omod(tc_Int_Oint,A,B))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),B),hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_Odivmod__int(A,B))).
% 11.19/11.45 Following clause subsumed by 6794 during input processing: 0 [copy,10477,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).
% 11.19/11.45 Following clause subsumed by 9592 during input processing: 0 [copy,10488,flip.1] {-} hAPP(c_Product__Type_Ofst(tc_Nat_Onat,tc_Nat_Onat),c_Divides_Odivmod__nat(hAPP(c_Product__Type_Ofst(tc_Nat_Onat,tc_Nat_Onat),c_Divides_Odivmod__nat(A,B)),C))=hAPP(c_Product__Type_Ofst(tc_Nat_Onat,tc_Nat_Onat),c_Divides_Odivmod__nat(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),B),C))).
% 11.21/11.46 Following clause subsumed by 6807 during input processing: 0 [copy,10497,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))).
% 11.21/11.46 Following clause subsumed by 6816 during input processing: 0 [copy,10498,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).
% 11.21/11.46 Following clause subsumed by 6817 during input processing: 0 [copy,10499,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)).
% 11.21/11.46 Following clause subsumed by 6818 during input processing: 0 [copy,10500,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).
% 11.21/11.46 Following clause subsumed by 10589 during input processing: 0 [copy,10501,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).
% 11.21/11.46 Following clause subsumed by 6820 during input processing: 0 [copy,10502,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)).
% 11.21/11.46 Following clause subsumed by 6825 during input processing: 0 [copy,10505,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))).
% 11.21/11.46 Following clause subsumed by 6842 during input processing: 0 [copy,10506,flip.1] {-} hAPP(c_Code__Numeral_Onat__of,A)=c_Code__Numeral_Onat__of__aux(A,hAPP(c_Int_Onat,c_Int_OPls)).
% 11.21/11.46 Following clause subsumed by 10400 during input processing: 0 [copy,10507,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)))).
% 11.21/11.46 Following clause subsumed by 6868 during input processing: 0 [copy,10515,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)).
% 11.21/11.46 Following clause subsumed by 6873 during input processing: 0 [copy,10516,flip.1] {-} hAPP(hAPP(c_Product__Type_Oscomp(A,B,A,C),hAPP(c_Product__Type_OPair(B,A),D)),E)=hAPP(E,D).
% 11.21/11.46 Following clause subsumed by 10449 during input processing: 0 [copy,10521,flip.1] {-} hAPP(hAPP(A,hAPP(c_Product__Type_Ofst(B,C),D)),hAPP(c_Product__Type_Osnd(B,C),D))=hAPP(hAPP(c_Product__Type_Ointernal__split(B,C,E),A),D).
% 11.21/11.46 Following clause subsumed by 6907 during input processing: 0 [copy,10557,flip.1] {-} hAPP(c_New__DSequence_Oneg__bind(A,B,C,D),E)=c_Lazy__Sequence_Ohb__bind(A,B,hAPP(C,E),hAPP(hAPP(c_COMBC(A,tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(B))),D),E)).
% 11.21/11.46 Following clause subsumed by 6910 during input processing: 0 [copy,10558,flip.1] {-} c_New__Random__Sequence_Opos__empty(A,B,C,D)=c_New__DSequence_Opos__empty(A).
% 11.21/11.50 Following clause subsumed by 6911 during input processing: 0 [copy,10559,flip.1] {-} hAPP(hAPP(hAPP(c_New__Random__Sequence_Oneg__bind(A,B,C,D),E),F),G)=c_New__DSequence_Oneg__bind(A,B,hAPP(hAPP(hAPP(C,E),F),G),hAPP(hAPP(c_COMBC(A,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(B)))),hAPP(hAPP(c_COMBC(A,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(B))))),hAPP(hAPP(c_COMBC(A,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(B)))))),D),E)),F)),G)).
% 11.21/11.50 Following clause subsumed by 6912 during input processing: 0 [copy,10560,flip.1] {-} hAPP(c_New__DSequence_Opos__bind(A,B,C,D),E)=c_Lazy__Sequence_Obind(A,B,hAPP(C,E),hAPP(hAPP(c_COMBC(A,tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(B)),D),E)).
% 11.21/11.50 Following clause subsumed by 6913 during input processing: 0 [copy,10561,flip.1] {-} hAPP(hAPP(hAPP(c_New__Random__Sequence_Opos__bind(A,B,C,D),E),F),G)=c_New__DSequence_Opos__bind(A,B,hAPP(hAPP(hAPP(C,E),F),G),hAPP(hAPP(c_COMBC(A,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(B))),hAPP(hAPP(c_COMBC(A,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(B)))),hAPP(hAPP(c_COMBC(A,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(B))))),D),E)),F)),G)).
% 11.21/11.50 Following clause subsumed by 6933 during input processing: 0 [copy,10562,flip.1] {-} c_Random__Sequence_Oempty(A,B,C)=hAPP(c_Product__Type_OPair(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(A)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)),c_DSequence_Oempty(A)).
% 11.21/11.50 Following clause subsumed by 6934 during input processing: 0 [copy,10563,flip.1] {-} hAPP(hAPP(hAPP(c_Random__Sequence_Osingle(A),B),C),D)=hAPP(c_Product__Type_OPair(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(A)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)),hAPP(c_DSequence_Osingle(A),B)).
% 11.21/11.50 Following clause subsumed by 6939 during input processing: 0 [copy,10564,flip.1] {-} hAPP(hAPP(c_Product__Type_Ocurry(A,B,C,D),E),F)=hAPP(D,hAPP(hAPP(c_Product__Type_OPair(A,B),E),F)).
% 11.21/11.50 Following clause subsumed by 10501 during input processing: 0 [copy,10589,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).
% 11.21/11.50 Following clause subsumed by 10970 during input processing: 0 [copy,10595,flip.1,demod,10939,10928,10939,10928] {-} 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)).
% 11.21/11.50 Following clause subsumed by 10613 during input processing: 0 [copy,10613,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)).
% 11.21/11.50 Following clause subsumed by 10614 during input processing: 0 [copy,10614,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).
% 11.28/11.53 Following clause subsumed by 7247 during input processing: 0 [copy,10706,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)).
% 11.28/11.53 Following clause subsumed by 9605 during input processing: 0 [copy,10724,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)))).
% 11.28/11.53 Following clause subsumed by 7272 during input processing: 0 [copy,10771,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)).
% 11.28/11.53 Following clause subsumed by 10777 during input processing: 0 [copy,10775,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)).
% 11.28/11.53 Following clause subsumed by 10778 during input processing: 0 [copy,10776,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)).
% 11.28/11.53 Following clause subsumed by 10775 during input processing: 0 [copy,10777,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).
% 11.28/11.53 Following clause subsumed by 10776 during input processing: 0 [copy,10778,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)).
% 11.28/11.53 Following clause subsumed by 10969 during input processing: 0 [copy,10779,flip.1,demod,10939,10928,10928] {-} 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)).
% 11.28/11.55 Following clause subsumed by 7346 during input processing: 0 [copy,10784,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)).
% 11.28/11.55 Following clause subsumed by 11192 during input processing: 0 [copy,10785,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).
% 11.28/11.55 10787 back subsumes 3516.
% 11.28/11.55 Following clause subsumed by 7397 during input processing: 0 [copy,10793,flip.1] {-} c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,A,A)=c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),A,A).
% 11.28/11.55 10793 back subsumes 7443.
% 11.28/11.55 Following clause subsumed by 7440 during input processing: 0 [copy,10799,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).
% 11.28/11.55 Following clause subsumed by 7469 during input processing: 0 [copy,10805,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)).
% 11.28/11.55 Following clause subsumed by 6306 during input processing: 0 [copy,10806,flip.1,demod,10939,10928,10962] {-} 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)).
% 11.28/11.55 Following clause subsumed by 7508 during input processing: 0 [copy,10860,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).
% 11.28/11.55 Following clause subsumed by 7509 during input processing: 0 [copy,10861,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).
% 11.28/11.55 Following clause subsumed by 7510 during input processing: 0 [copy,10862,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).
% 11.28/11.55 Following clause subsumed by 7512 during input processing: 0 [copy,10863,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)).
% 11.28/11.55 Following clause subsumed by 7522 during input processing: 0 [copy,10865,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).
% 11.28/11.55 Following clause subsumed by 7524 during input processing: 0 [copy,10866,flip.1] {-} hAPP(hAPP(c_Product__Type_Ointernal__split(A,B,C),hAPP(c_Fun_Ocomp(D,tc_fun(B,C),A,E),F)),G)=hAPP(hAPP(E,hAPP(F,hAPP(c_Product__Type_Ofst(A,B),G))),hAPP(c_Product__Type_Osnd(A,B),G)).
% 11.32/11.56 Following clause subsumed by 7534 during input processing: 0 [copy,10875,flip.1] {-} c_Random__Sequence_Omap(A,B,C,D)=c_Random__Sequence_Obind(A,B,D,hAPP(c_Fun_Ocomp(B,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(B)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))))),A,c_Random__Sequence_Osingle(B)),C)).
% 11.32/11.56 Following clause subsumed by 7629 during input processing: 0 [copy,10883,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)).
% 11.32/11.56 Following clause subsumed by 7652 during input processing: 0 [copy,10890,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)).
% 11.32/11.56 10896 back subsumes 10895.
% 11.32/11.56 Following clause subsumed by 7665 during input processing: 0 [copy,10897,flip.1] {-} hAPP(c_Set_Oimage(tc_prod(A,B),tc_prod(B,A),hAPP(c_Product__Type_Ointernal__split(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)).
% 11.32/11.56 Following clause subsumed by 7670 during input processing: 0 [copy,10898,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)).
% 11.32/11.56 Following clause subsumed by 7674 during input processing: 0 [copy,10899,flip.1] {-} 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))).
% 11.32/11.56 Following clause subsumed by 7674 during input processing: 0 [copy,10900,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)).
% 11.32/11.56 10900 back subsumes 10899.
% 11.69/11.96 Following clause subsumed by 7690 during input processing: 0 [copy,10915,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_Ointernal__split(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))).
% 11.69/11.96 Following clause subsumed by 7699 during input processing: 0 [copy,10916,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)).
% 11.69/11.96 Following clause subsumed by 7700 during input processing: 0 [copy,10917,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)).
% 11.69/11.96 Following clause subsumed by 7701 during input processing: 0 [copy,10918,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).
% 11.69/11.96 Following clause subsumed by 7707 during input processing: 0 [copy,10919,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)).
% 11.69/11.96 Following clause subsumed by 7708 during input processing: 0 [copy,10920,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)).
% 11.69/11.96 Following clause subsumed by 7709 during input processing: 0 [copy,10921,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)).
% 11.69/11.96 Following clause subsumed by 10935 during input processing: 0 [copy,10925,flip.1] {-} hAPP(c_Set_Ovimage(A,B,C),D)=hAPP(hAPP(c_COMBB(B,tc_HOL_Obool,A),D),C).
% 11.69/11.96 Following clause subsumed by 6306 during input processing: 0 [copy,10926,flip.1,demod,10939,10928,10939,10934] {-} 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).
% 11.69/11.96 Following clause subsumed by 10925 during input processing: 0 [copy,10935,flip.1] {-} hAPP(hAPP(c_COMBB(A,tc_HOL_Obool,B),C),D)=hAPP(c_Set_Ovimage(B,A,D),C).
% 11.69/11.96 Following clause subsumed by 11774 during input processing: 0 [copy,11058,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).
% 11.69/11.96 Following clause subsumed by 11063 during input processing: 0 [copy,11062,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).
% 11.69/11.96 Following clause subsumed by 11062 during input processing: 0 [copy,11063,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).
% 11.73/11.97 Following clause subsumed by 7809 during input processing: 0 [copy,11071,flip.1] {-} hAPP(hAPP(c_Relation_Oinv__image(A,B),C),D)=hAPP(c_Product__Type_Ointernal__split(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)).
% 11.73/11.97 Following clause subsumed by 11726 during input processing: 0 [copy,11072,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))).
% 11.73/11.97 Following clause subsumed by 7819 during input processing: 0 [copy,11073,flip.1] {-} c_Int_Oint__ge__less__than2(A)=hAPP(c_Product__Type_Ointernal__split(tc_Int_Oint,tc_Int_Oint,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_HOL_Obool),tc_fun(tc_Int_Oint,tc_HOL_Obool),tc_Int_Oint),hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),A)))),c_Orderings_Oord__class_Oless(tc_Int_Oint))).
% 11.73/11.97 Following clause subsumed by 7821 during input processing: 0 [copy,11074,flip.1] {-} c_Int_Oint__ge__less__than(A)=hAPP(c_Product__Type_Ointernal__split(tc_Int_Oint,tc_Int_Oint,tc_HOL_Obool),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_HOL_Obool),tc_fun(tc_Int_Oint,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(tc_Int_Oint,tc_HOL_Obool),tc_fun(tc_Int_Oint,tc_HOL_Obool)),tc_Int_Oint),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),A)))),c_Orderings_Oord__class_Oless(tc_Int_Oint))).
% 11.73/11.97 Following clause subsumed by 7838 during input processing: 0 [copy,11077,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)).
% 11.73/11.97 Following clause subsumed by 7840 during input processing: 0 [copy,11078,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)).
% 11.73/11.97 Following clause subsumed by 7851 during input processing: 0 [copy,11079,flip.1] {-} c_Product__Type_Oapsnd(A,B,C,D)=c_Product__Type_Omap__pair(C,C,A,B,c_Fun_Oid(C),D).
% 11.73/11.97 Following clause subsumed by 7852 during input processing: 0 [copy,11080,flip.1] {-} c_Product__Type_Oapfst(A,B,C,D)=c_Product__Type_Omap__pair(A,B,C,C,D,c_Fun_Oid(C)).
% 11.73/11.97 Following clause subsumed by 7854 during input processing: 0 [copy,11081,flip.1] {-} hAPP(c_Product__Type_Ointernal__split(A,B,tc_prod(A,B)),c_Product__Type_OPair(A,B))=c_Product__Type_Omap__pair(A,A,B,B,c_COMBI(A),c_COMBI(B)).
% 11.73/11.97 Following clause subsumed by 7858 during input processing: 0 [copy,11082,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)).
% 11.73/11.97 Following clause subsumed by 7859 during input processing: 0 [copy,11083,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)).
% 11.73/11.97 Following clause subsumed by 7866 during input processing: 0 [copy,11088,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)).
% 11.73/11.98 Following clause subsumed by 11623 during input processing: 0 [copy,11092,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)).
% 11.73/11.98 Following clause subsumed by 7930 during input processing: 0 [copy,11097,flip.1] {-} c_New__Random__Sequence_Opos__map(A,B,C,D)=c_New__Random__Sequence_Opos__bind(A,B,D,hAPP(c_Fun_Ocomp(B,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(B))))),A,c_New__Random__Sequence_Opos__single(B)),C)).
% 11.73/11.98 Following clause subsumed by 7935 during input processing: 0 [copy,11098,flip.1] {-} c_New__Random__Sequence_Oneg__map(A,B,C,D)=c_New__Random__Sequence_Oneg__bind(A,B,D,hAPP(c_Fun_Ocomp(B,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(B)))))),A,c_New__Random__Sequence_Oneg__single(B)),C)).
% 11.73/11.98 Following clause subsumed by 8027 during input processing: 0 [copy,11131,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)).
% 11.73/11.98 Following clause subsumed by 11616 during input processing: 0 [copy,11133,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)).
% 11.73/11.98 Following clause subsumed by 11137 during input processing: 0 [copy,11135,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)).
% 11.73/11.98 Following clause subsumed by 11138 during input processing: 0 [copy,11136,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)).
% 11.73/11.98 Following clause subsumed by 11135 during input processing: 0 [copy,11137,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).
% 11.73/11.98 Following clause subsumed by 11136 during input processing: 0 [copy,11138,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)).
% 11.73/11.98 Following clause subsumed by 11615 during input processing: 0 [copy,11139,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)).
% 11.73/11.98 11141 back subsumes 10984.
% 11.73/11.98 Following clause subsumed by 8046 during input processing: 0 [copy,11142,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)).
% 11.73/11.98 Following clause subsumed by 8053 during input processing: 0 [copy,11143,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)).
% 11.73/11.98 Following clause subsumed by 8055 during input processing: 0 [copy,11144,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)).
% 11.73/11.98 Following clause subsumed by 8061 during input processing: 0 [copy,11145,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)).
% 11.73/11.98 Following clause subsumed by 8070 during input processing: 0 [copy,11146,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)).
% 11.73/11.98 Following clause subsumed by 11149 during input processing: 0 [copy,11148,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)).
% 11.73/11.98 Following clause subsumed by 11148 during input processing: 0 [copy,11149,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))).
% 11.73/11.98 Following clause subsumed by 8075 during input processing: 0 [copy,11150,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)).
% 11.73/11.98 Following clause subsumed by 11741 during input processing: 0 [copy,11151,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)).
% 11.73/11.98 Following clause subsumed by 8160 during input processing: 0 [copy,11155,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_Ointernal__split(tc_prod(A,A),A,tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_prod(A,A),tc_fun(A,tc_prod(A,A)),tc_fun(A,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(A,A),tc_HOL_Obool),tc_fun(tc_fun(A,tc_prod(A,A)),tc_fun(A,tc_HOL_Obool)),tc_prod(A,A)),c_COMBB(tc_prod(A,A),tc_HOL_Obool,A)),c_fequal)),hAPP(hAPP(c_COMBS(A,A,tc_prod(A,A)),c_Product__Type_OPair(A,A)),c_COMBI(A))))).
% 11.73/11.98 Following clause subsumed by 8169 during input processing: 0 [copy,11156,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)).
% 11.73/11.98 Following clause subsumed by 8174 during input processing: 0 [copy,11157,flip.1] {-} hAPP(hAPP(c_Relation_Orel__comp(A,A,A),B),hAPP(hAPP(c_Nat_Ocompow(tc_prod(A,A),tc_HOL_Obool),C),B))=hAPP(hAPP(c_Nat_Ocompow(tc_prod(A,A),tc_HOL_Obool),hAPP(c_Nat_OSuc,C)),B).
% 11.73/11.98 Following clause subsumed by 8182 during input processing: 0 [copy,11158,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)).
% 11.73/11.98 Following clause subsumed by 8183 during input processing: 0 [copy,11159,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)).
% 11.73/11.98 Following clause subsumed by 8185 during input processing: 0 [copy,11160,flip.1] {-} hAPP(hAPP(c_Nat_Ocompow(A,A),hAPP(c_Int_Onat,c_Int_OPls)),B)=c_Fun_Oid(A).
% 11.73/11.98 Following clause subsumed by 11612 during input processing: 0 [copy,11161,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)).
% 11.73/11.99 Following clause subsumed by 8215 during input processing: 0 [copy,11164,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))).
% 11.73/11.99 Following clause subsumed by 8221 during input processing: 0 [copy,11165,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)).
% 11.73/11.99 Following clause subsumed by 8232 during input processing: 0 [copy,11166,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)).
% 11.73/11.99 Following clause subsumed by 8233 during input processing: 0 [copy,11167,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)).
% 11.73/11.99 Following clause subsumed by 8313 during input processing: 0 [copy,11174,flip.1] {-} c_Map_Omap__add(A,B,C,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_Ointernal__split(A,B,tc_fun(tc_fun(A,tc_Option_Ooption(B)),tc_fun(A,tc_Option_Ooption(B)))),hAPP(hAPP(c_COMBC(A,tc_fun(B,tc_Option_Ooption(B)),tc_fun(B,tc_fun(tc_fun(A,tc_Option_Ooption(B)),tc_fun(A,tc_Option_Ooption(B))))),hAPP(hAPP(c_COMBB(tc_fun(tc_Option_Ooption(B),tc_fun(tc_fun(A,tc_Option_Ooption(B)),tc_fun(A,tc_Option_Ooption(B)))),tc_fun(tc_fun(B,tc_Option_Ooption(B)),tc_fun(B,tc_fun(tc_fun(A,tc_Option_Ooption(B)),tc_fun(A,tc_Option_Ooption(B))))),A),c_COMBB(tc_Option_Ooption(B),tc_fun(tc_fun(A,tc_Option_Ooption(B)),tc_fun(A,tc_Option_Ooption(B))),B)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(A,tc_Option_Ooption(B)),tc_fun(tc_Option_Ooption(B),tc_fun(A,tc_Option_Ooption(B)))),tc_fun(tc_Option_Ooption(B),tc_fun(tc_fun(A,tc_Option_Ooption(B)),tc_fun(A,tc_Option_Ooption(B)))),A),c_COMBC(tc_fun(A,tc_Option_Ooption(B)),tc_Option_Ooption(B),tc_fun(A,tc_Option_Ooption(B)))),hAPP(c_COMBC(tc_fun(A,tc_Option_Ooption(B)),A,tc_fun(tc_Option_Ooption(B),tc_fun(A,tc_Option_Ooption(B)))),c_Fun_Ofun__upd(A,tc_Option_Ooption(B)))))),c_Option_Ooption_OSome(B))),D,C).
% 11.73/11.99 Following clause subsumed by 11401 during input processing: 0 [copy,11175,flip.1] {-} c_Smallcheck_Ofull__small__class_Ofull__small(tc_Int_Oint,A,B)=c_Smallcheck_Ofull__small_H(A,hAPP(c_Code__Numeral_Oint__of,B),hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_Odivmod__int(hAPP(c_Code__Numeral_Oint__of,B),c_Int_OMin))).
% 11.73/11.99 Following clause subsumed by 8327 during input processing: 0 [copy,11176,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)).
% 11.73/11.99 Following clause subsumed by 8328 during input processing: 0 [copy,11177,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).
% 11.73/11.99 Following clause subsumed by 8329 during input processing: 0 [copy,11178,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)).
% 11.73/11.99 Following clause subsumed by 8338 during input processing: 0 [copy,11179,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).
% 11.73/11.99 Following clause subsumed by 8339 during input processing: 0 [copy,11180,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).
% 11.73/12.00 Following clause subsumed by 8343 during input processing: 0 [copy,11181,flip.1] {-} c_Map_Omap__of(A,B,hAPP(hAPP(c_List_Omap(tc_prod(A,C),tc_prod(A,B)),hAPP(c_Product__Type_Ointernal__split(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)),c_Map_Omap__of(A,C,E)).
% 11.73/12.00 Following clause subsumed by 8345 during input processing: 0 [copy,11182,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)).
% 11.73/12.00 Following clause subsumed by 8355 during input processing: 0 [copy,11183,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)).
% 11.73/12.00 Following clause subsumed by 8356 during input processing: 0 [copy,11184,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).
% 11.73/12.00 Following clause subsumed by 8362 during input processing: 0 [copy,11185,flip.1] {-} hAPP(hAPP(c_Option_Omap(A,B),C),c_Option_Ooption_ONone(A))=c_Option_Ooption_ONone(B).
% 11.73/12.00 Following clause subsumed by 8361 during input processing: 0 [copy,11186,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)).
% 11.73/12.00 Following clause subsumed by 8363 during input processing: 0 [copy,11187,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))).
% 11.73/12.00 Following clause subsumed by 8372 during input processing: 0 [copy,11188,flip.1] {-} 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)).
% 11.73/12.00 Following clause subsumed by 10785 during input processing: 0 [copy,11192,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).
% 11.73/12.00 Following clause subsumed by 8388 during input processing: 0 [copy,11193,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).
% 11.73/12.00 Following clause subsumed by 8392 during input processing: 0 [copy,11194,flip.1] {-} hAPP(hAPP(c_List_Omap(tc_prod(A,B),C),D),hAPP(hAPP(c_List_Ozip(A,B),E),hAPP(hAPP(c_List_Omap(F,B),G),H)))=hAPP(hAPP(c_List_Omap(tc_prod(A,F),C),hAPP(c_Product__Type_Ointernal__split(A,F,C),hAPP(hAPP(c_COMBB(tc_fun(F,tc_prod(A,B)),tc_fun(F,C),A),hAPP(c_COMBB(tc_prod(A,B),C,F),D)),hAPP(hAPP(c_COMBC(A,tc_fun(F,B),tc_fun(F,tc_prod(A,B))),hAPP(hAPP(c_COMBB(tc_fun(B,tc_prod(A,B)),tc_fun(tc_fun(F,B),tc_fun(F,tc_prod(A,B))),A),c_COMBB(B,tc_prod(A,B),F)),c_Product__Type_OPair(A,B))),G)))),hAPP(hAPP(c_List_Ozip(A,F),E),H)).
% 11.73/12.00 Following clause subsumed by 8394 during input processing: 0 [copy,11195,flip.1] {-} hAPP(hAPP(c_List_Omap(tc_prod(A,B),C),D),hAPP(hAPP(c_List_Ozip(A,B),hAPP(hAPP(c_List_Omap(E,A),F),G)),H))=hAPP(hAPP(c_List_Omap(tc_prod(E,B),C),hAPP(c_Product__Type_Ointernal__split(E,B,C),hAPP(hAPP(c_COMBB(tc_fun(B,tc_prod(A,B)),tc_fun(B,C),E),hAPP(c_COMBB(tc_prod(A,B),C,B),D)),hAPP(hAPP(c_COMBB(A,tc_fun(B,tc_prod(A,B)),E),c_Product__Type_OPair(A,B)),F)))),hAPP(hAPP(c_List_Ozip(E,B),G),H)).
% 11.73/12.01 Following clause subsumed by 8396 during input processing: 0 [copy,11196,flip.1] {-} hAPP(hAPP(c_List_Ozip(A,B),C),hAPP(hAPP(c_List_Omap(D,B),E),F))=hAPP(hAPP(c_List_Omap(tc_prod(A,D),tc_prod(A,B)),hAPP(c_Product__Type_Ointernal__split(A,D,tc_prod(A,B)),hAPP(hAPP(c_COMBC(A,tc_fun(D,B),tc_fun(D,tc_prod(A,B))),hAPP(hAPP(c_COMBB(tc_fun(B,tc_prod(A,B)),tc_fun(tc_fun(D,B),tc_fun(D,tc_prod(A,B))),A),c_COMBB(B,tc_prod(A,B),D)),c_Product__Type_OPair(A,B))),E))),hAPP(hAPP(c_List_Ozip(A,D),C),F)).
% 11.73/12.01 Following clause subsumed by 8398 during input processing: 0 [copy,11197,flip.1] {-} hAPP(hAPP(c_List_Ozip(A,B),hAPP(hAPP(c_List_Omap(C,A),D),E)),F)=hAPP(hAPP(c_List_Omap(tc_prod(C,B),tc_prod(A,B)),hAPP(c_Product__Type_Ointernal__split(C,B,tc_prod(A,B)),hAPP(hAPP(c_COMBB(A,tc_fun(B,tc_prod(A,B)),C),c_Product__Type_OPair(A,B)),D))),hAPP(hAPP(c_List_Ozip(C,B),E),F)).
% 11.73/12.01 Following clause subsumed by 8400 during input processing: 0 [copy,11198,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)).
% 11.73/12.01 Following clause subsumed by 8403 during input processing: 0 [copy,11200,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).
% 11.73/12.01 Following clause subsumed by 8419 during input processing: 0 [copy,11201,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)).
% 11.73/12.01 Following clause subsumed by 8423 during input processing: 0 [copy,11203,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)).
% 11.73/12.01 Following clause subsumed by 8424 during input processing: 0 [copy,11204,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)).
% 11.73/12.01 Following clause subsumed by 8430 during input processing: 0 [copy,11207,flip.1] {-} 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)),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))).
% 11.73/12.01 Following clause subsumed by 11214 during input processing: 0 [copy,11209,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))).
% 11.73/12.01 Following clause subsumed by 11209 during input processing: 0 [copy,11214,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)).
% 11.73/12.01 Following clause subsumed by 8497 during input processing: 0 [copy,11234,flip.1] {-} c_List_Osublist(A,B,hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(c_Int_Onat,c_Int_OPls)),hAPP(c_Int_Onat,c_Int_OPls)))=c_List_Olist_ONil(A).
% 11.73/12.01 Following clause subsumed by 8504 during input processing: 0 [copy,11235,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).
% 11.73/12.01 Following clause subsumed by 8505 during input processing: 0 [copy,11236,flip.1] {-} hAPP(hAPP(c_List_Omap(A,B),C),c_List_Olist_ONil(A))=c_List_Olist_ONil(B).
% 11.73/12.01 Following clause subsumed by 8509 during input processing: 0 [copy,11237,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)).
% 11.73/12.01 Following clause subsumed by 8510 during input processing: 0 [copy,11238,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))).
% 11.73/12.01 Following clause subsumed by 8514 during input processing: 0 [copy,11239,flip.1] {-} c_List_Osublist(A,B,c_Complete__Lattice_OInf__class_OInf(tc_fun(tc_Nat_Onat,tc_HOL_Obool),hAPP(c_Relation_ORange(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(c_Relation_ODomain(tc_prod(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(c_Product__Type_Ointernal__split(tc_prod(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_prod(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_prod(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool))),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_HOL_Obool),tc_fun(tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_prod(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool))),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool)),tc_prod(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool))),c_COMBB(tc_prod(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_HOL_Obool,tc_fun(tc_Nat_Onat,tc_HOL_Obool))),c_fequal)),hAPP(hAPP(c_COMBS(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_prod(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool))),c_Product__Type_OPair(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool))),c_COMBI(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))))))))=c_List_Olist_ONil(A).
% 11.73/12.01 Following clause subsumed by 8518 during input processing: 0 [copy,11240,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).
% 11.73/12.01 Following clause subsumed by 8519 during input processing: 0 [copy,11241,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).
% 11.73/12.01 Following clause subsumed by 8520 during input processing: 0 [copy,11242,flip.1] {-} hAPP(hAPP(c_List_Ozip(A,B),C),c_List_Olist_ONil(B))=c_List_Olist_ONil(tc_prod(A,B)).
% 11.73/12.01 Following clause subsumed by 8521 during input processing: 0 [copy,11243,flip.1] {-} hAPP(hAPP(c_List_Ozip(A,B),c_List_Olist_ONil(A)),C)=c_List_Olist_ONil(tc_prod(A,B)).
% 11.73/12.01 Following clause subsumed by 8524 during input processing: 0 [copy,11244,flip.1] {-} hAPP(c_Map_Omap__of(A,B,c_List_Olist_ONil(tc_prod(A,B))),C)=c_Option_Ooption_ONone(B).
% 11.73/12.01 Following clause subsumed by 8540 during input processing: 0 [copy,11245,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)))=hAPP(hAPP(c_List_Olist_OCons(A),B),c_List_Olist_ONil(A)).
% 11.73/12.01 Following clause subsumed by 8563 during input processing: 0 [copy,11247,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).
% 11.73/12.01 Following clause subsumed by 8568 during input processing: 0 [copy,11248,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).
% 11.73/12.01 Following clause subsumed by 8578 during input processing: 0 [copy,11249,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).
% 11.73/12.01 Following clause subsumed by 8591 during input processing: 0 [copy,11250,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)).
% 11.73/12.01 Following clause subsumed by 8597 during input processing: 0 [copy,11251,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)).
% 11.73/12.01 Following clause subsumed by 8653 during input processing: 0 [copy,11261,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)).
% 11.73/12.01 Following clause subsumed by 8654 during input processing: 0 [copy,11262,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)).
% 11.73/12.01 Following clause subsumed by 8671 during input processing: 0 [copy,11263,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).
% 11.73/12.01 Following clause subsumed by 8676 during input processing: 0 [copy,11264,flip.1] {-} hAPP(c_List_Orotate1(A),hAPP(hAPP(c_List_Olist_OCons(A),B),C))=hAPP(hAPP(c_List_Oappend(A),C),hAPP(hAPP(c_List_Olist_OCons(A),B),c_List_Olist_ONil(A))).
% 11.73/12.01 Following clause subsumed by 8681 during input processing: 0 [copy,11265,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))).
% 11.73/12.01 Following clause subsumed by 8698 during input processing: 0 [copy,11269,flip.1] {-} c_List_Osublist(A,c_List_Otl(A,B),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(c_Int_Onat,c_Int_OPls)),C))=c_List_Otl(A,c_List_Osublist(A,B,c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(c_Int_Onat,c_Int_OPls),C))).
% 11.73/12.01 Following clause subsumed by 8704 during input processing: 0 [copy,11270,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)).
% 11.73/12.01 Following clause subsumed by 8716 during input processing: 0 [copy,11271,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)).
% 11.73/12.01 Following clause subsumed by 8717 during input processing: 0 [copy,11272,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)).
% 11.73/12.01 Following clause subsumed by 8721 during input processing: 0 [copy,11273,flip.1] {-} c_List_Otl(A,hAPP(hAPP(c_List_Oappend(A),B),C))=hAPP(c_List_Olist_Olist__case(tc_List_Olist(A),A,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).
% 11.73/12.01 Following clause subsumed by 8725 during input processing: 0 [copy,11280,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)).
% 11.73/12.01 Following clause subsumed by 8730 during input processing: 0 [copy,11281,flip.1] {-} c_List_Otl(A,c_List_Osublist(A,B,hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(c_Int_Onat,c_Int_OPls)),C)))=c_List_Osublist(A,c_List_Otl(A,B),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(c_Int_Onat,c_Int_OPls)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_COMBK(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls)))),c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls)),C)))).
% 11.73/12.01 Following clause subsumed by 11424 during input processing: 0 [copy,11282,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))).
% 11.73/12.01 Following clause subsumed by 8738 during input processing: 0 [copy,11283,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).
% 11.73/12.01 Following clause subsumed by 8739 during input processing: 0 [copy,11284,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).
% 11.73/12.01 Following clause subsumed by 8740 during input processing: 0 [copy,11285,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).
% 11.73/12.01 Following clause subsumed by 8741 during input processing: 0 [copy,11286,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).
% 11.73/12.01 Following clause subsumed by 8812 during input processing: 0 [copy,11289,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).
% 11.73/12.01 Following clause subsumed by 8820 during input processing: 0 [copy,11290,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)).
% 11.73/12.01 Following clause subsumed by 11717 during input processing: 0 [copy,11291,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).
% 11.73/12.01 Following clause subsumed by 8826 during input processing: 0 [copy,11292,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)).
% 11.73/12.01 Following clause subsumed by 8827 during input processing: 0 [copy,11293,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).
% 11.73/12.01 Following clause subsumed by 8830 during input processing: 0 [copy,11295,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)).
% 11.73/12.01 Following clause subsumed by 8849 during input processing: 0 [copy,11296,flip.1] {-} c_List_Omap__filter(A,B,C,c_List_Olist_ONil(A))=c_List_Olist_ONil(B).
% 11.73/12.02 Following clause subsumed by 8852 during input processing: 0 [copy,11297,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)).
% 11.73/12.02 Following clause subsumed by 8853 during input processing: 0 [copy,11298,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)))).
% 11.73/12.02 Following clause subsumed by 8863 during input processing: 0 [copy,11299,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).
% 11.73/12.02 Following clause subsumed by 8873 during input processing: 0 [copy,11300,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).
% 11.73/12.02 Following clause subsumed by 8875 during input processing: 0 [copy,11301,flip.1] {-} c_List_Oupt(A,hAPP(c_Int_Onat,c_Int_OPls))=c_List_Olist_ONil(tc_Nat_Onat).
% 11.73/12.02 Following clause subsumed by 8898 during input processing: 0 [copy,11302,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))))).
% 11.73/12.02 Following clause subsumed by 8910 during input processing: 0 [copy,11303,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)),hAPP(hAPP(c_List_Olist_OCons(A),B),c_List_Olist_ONil(A))).
% 11.73/12.02 Following clause subsumed by 8922 during input processing: 0 [copy,11304,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)).
% 11.73/12.02 Following clause subsumed by 8932 during input processing: 0 [copy,11305,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)).
% 11.73/12.02 Following clause subsumed by 8933 during input processing: 0 [copy,11306,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)).
% 11.88/12.13 Following clause subsumed by 8943 during input processing: 0 [copy,11307,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).
% 11.88/12.13 Following clause subsumed by 8949 during input processing: 0 [copy,11308,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)).
% 11.88/12.13 Following clause subsumed by 8957 during input processing: 0 [copy,11309,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))))).
% 11.88/12.13 Following clause subsumed by 9151 during input processing: 0 [copy,11311,flip.1] {-} hAPP(hAPP(hAPP(c_COMBC(A,B,C),D),E),F)=hAPP(hAPP(D,F),E).
% 11.88/12.13 Following clause subsumed by 9152 during input processing: 0 [copy,11312,flip.1] {-} hAPP(hAPP(hAPP(c_COMBS(A,B,C),D),E),F)=hAPP(hAPP(D,F),hAPP(E,F)).
% 11.88/12.13 Following clause subsumed by 11323 during input processing: 0 [copy,11316,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)).
% 11.88/12.13 Following clause subsumed by 11322 during input processing: 0 [copy,11319,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)).
% 11.88/12.13 Following clause subsumed by 11319 during input processing: 0 [copy,11322,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))).
% 11.88/12.13 Following clause subsumed by 11316 during input processing: 0 [copy,11323,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))).
% 11.88/12.13 Following clause subsumed by 11376 during input processing: 0 [copy,11343,flip.1] {-} hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_Odivmod__int(hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_Odivmod__int(A,c_Int_OMin)),B))=hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_Odivmod__int(A,hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_Odivmod__int(B,c_Int_OMin)))).
% 11.88/12.13 Following clause subsumed by 11343 during input processing: 0 [copy,11376,flip.1] {-} hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_Odivmod__int(A,hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_Odivmod__int(B,c_Int_OMin))))=hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_Odivmod__int(hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_Odivmod__int(A,c_Int_OMin)),B)).
% 11.88/12.13 Following clause subsumed by 11175 during input processing: 0 [copy,11401,flip.1] {-} c_Smallcheck_Ofull__small_H(A,hAPP(c_Code__Numeral_Oint__of,B),hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_Odivmod__int(hAPP(c_Code__Numeral_Oint__of,B),c_Int_OMin)))=c_Smallcheck_Ofull__small__class_Ofull__small(tc_Int_Oint,A,B).
% 11.88/12.13 Following clause subsumed by 10172 during input processing: 0 [copy,11419,flip.1] {-} hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_COMBK(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls)))),c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,A,hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_COMBK(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls)))),c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls)),B))))=hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_COMBK(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls)))),c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,hAPP(c_Nat_OSuc,A),B)).
% 11.88/12.13 Following clause subsumed by 11282 during input processing: 0 [copy,11424,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)).
% 11.88/12.13 Following clause subsumed by 11435 during input processing: 0 [copy,11429,flip.1] {-} hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),A),hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_Odivmod__int(c_Int_OMin,c_Int_OMin)))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OMin),A).
% 11.88/12.13 Following clause subsumed by 11432 during input processing: 0 [copy,11430,flip.1] {-} hAPP(c_Product__Type_Ofst(tc_Nat_Onat,tc_Nat_Onat),c_Divides_Odivmod__nat(c_Int_Onat__aux(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_Odivmod__int(c_Int_OMin,c_Int_OMin))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OPls),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OMin),hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_Odivmod__int(c_Int_OMin,c_Int_OMin))))),A),hAPP(c_Int_Onat,B)))=hAPP(c_Product__Type_Ofst(tc_Nat_Onat,tc_Nat_Onat),c_Divides_Odivmod__nat(hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,A))),hAPP(c_Int_Onat,B))).
% 11.88/12.13 Following clause subsumed by 11432 during input processing: 0 [copy,11431,flip.1] {-} hAPP(c_Product__Type_Ofst(tc_Nat_Onat,tc_Nat_Onat),c_Divides_Odivmod__nat(c_Int_Onat__aux(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_Odivmod__int(c_Int_OMin,c_Int_OMin))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OPls),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OMin),hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_Odivmod__int(c_Int_OMin,c_Int_OMin))))),A),B))=hAPP(c_Product__Type_Ofst(tc_Nat_Onat,tc_Nat_Onat),c_Divides_Odivmod__nat(hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,A))),B)).
% 11.88/12.13 11431 back subsumes 11430.
% 11.88/12.13 Following clause subsumed by 11431 during input processing: 0 [copy,11432,flip.1] {-} hAPP(c_Product__Type_Ofst(tc_Nat_Onat,tc_Nat_Onat),c_Divides_Odivmod__nat(hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,A))),B))=hAPP(c_Product__Type_Ofst(tc_Nat_Onat,tc_Nat_Onat),c_Divides_Odivmod__nat(c_Int_Onat__aux(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_Odivmod__int(c_Int_OMin,c_Int_OMin))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OPls),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OMin),hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_Odivmod__int(c_Int_OMin,c_Int_OMin))))),A),B)).
% 11.88/12.13 Following clause subsumed by 11434 during input processing: 0 [copy,11433,flip.1] {-} hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),A)!=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_Odivmod__int(c_Int_OMin,c_Int_OMin))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B),B)).
% 11.88/12.13 Following clause subsumed by 11433 during input processing: 0 [copy,11434,flip.1] {-} hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_Odivmod__int(c_Int_OMin,c_Int_OMin))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),A))!=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B),B).
% 11.88/12.13 Following clause subsumed by 11429 during input processing: 0 [copy,11435,flip.1] {-} hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OMin),A)=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),A),hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_Odivmod__int(c_Int_OMin,c_Int_OMin))).
% 11.88/12.14 Following clause subsumed by 11882 during input processing: 0 [copy,11459,flip.1] {-} hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_Odivmod__int(c_Int_OMin,c_Int_OMin))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),B))))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_Odivmod__int(c_Int_OMin,c_Int_OMin))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B),B)))).
% 11.88/12.14 Following clause subsumed by 11881 during input processing: 0 [copy,11460,flip.1] {-} hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_Odivmod__int(c_Int_OMin,c_Int_OMin))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),B))))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_Odivmod__int(c_Int_OMin,c_Int_OMin))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B),B)))).
% 11.88/12.14 Following clause subsumed by 11880 during input processing: 0 [copy,11461,flip.1] {-} hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),A),B)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),A),B))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_Odivmod__int(c_Int_OMin,c_Int_OMin))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),A))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_Odivmod__int(c_Int_OMin,c_Int_OMin))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B),B))).
% 11.88/12.14 Following clause subsumed by 11879 during input processing: 0 [copy,11462,flip.1] {-} hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_Odivmod__int(c_Int_OMin,c_Int_OMin))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),A),B)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),A),B)))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_Odivmod__int(c_Int_OMin,c_Int_OMin))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),A))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B),B)).
% 11.88/12.14 Following clause subsumed by 11876 during input processing: 0 [copy,11467,flip.1] {-} hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OPls),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OMin),hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_Odivmod__int(c_Int_OMin,c_Int_OMin))))),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)).
% 11.88/12.14 Following clause subsumed by 11555 during input processing: 0 [copy,11475,flip.1] {-} c_Lazy__Sequence_Ohb__not__seq(hAPP(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Code__Numeral_Ocode__numeral),hAPP(c_Code__Numeral_Oof__nat,hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_Odivmod__int(c_Int_OMin,c_Int_OMin))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OPls),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OMin),hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_Odivmod__int(c_Int_OMin,c_Int_OMin)))))))),B)))=hAPP(c_New__DSequence_Opos__not__seq(A),B).
% 11.88/12.14 Following clause subsumed by 11874 during input processing: 0 [copy,11480,flip.1] {-} c_Nitpick_OAbs__Frac(A,hAPP(c_Divides_OnegateSnd,hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),B),c_Int_OMin)))=c_Nitpick_Onumber__of__frac(A,B).
% 11.88/12.14 Following clause subsumed by 11502 during input processing: 0 [copy,11482,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)).
% 11.88/12.14 Following clause subsumed by 11598 during input processing: 0 [copy,11485,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)).
% 11.88/12.14 Following clause subsumed by 10596 during input processing: 0 [copy,11486,flip.1] {-} c_Complete__Lattice_OInf__class_OInf(tc_fun(A,tc_HOL_Obool),hAPP(c_Relation_ORange(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),hAPP(c_Relation_ODomain(tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),tc_fun(A,tc_HOL_Obool)),hAPP(c_Product__Type_Ointernal__split(tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),tc_fun(A,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),tc_fun(tc_fun(A,tc_HOL_Obool),tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool))),tc_fun(tc_fun(A,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),tc_HOL_Obool),tc_fun(tc_fun(tc_fun(A,tc_HOL_Obool),tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool))),tc_fun(tc_fun(A,tc_HOL_Obool),tc_HOL_Obool)),tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool))),c_COMBB(tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),tc_HOL_Obool,tc_fun(A,tc_HOL_Obool))),c_fequal)),hAPP(hAPP(c_COMBS(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool),tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool))),c_Product__Type_OPair(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool))),c_COMBI(tc_fun(A,tc_HOL_Obool))))))))=hAPP(c_Set_Oimage(B,A,C),c_Complete__Lattice_OInf__class_OInf(tc_fun(B,tc_HOL_Obool),hAPP(c_Relation_ORange(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool)),hAPP(c_Relation_ODomain(tc_prod(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool)),tc_fun(B,tc_HOL_Obool)),hAPP(c_Product__Type_Ointernal__split(tc_prod(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool)),tc_fun(B,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_prod(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool)),tc_fun(tc_fun(B,tc_HOL_Obool),tc_prod(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool))),tc_fun(tc_fun(B,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool)),tc_HOL_Obool),tc_fun(tc_fun(tc_fun(B,tc_HOL_Obool),tc_prod(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool))),tc_fun(tc_fun(B,tc_HOL_Obool),tc_HOL_Obool)),tc_prod(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool))),c_COMBB(tc_prod(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool)),tc_HOL_Obool,tc_fun(B,tc_HOL_Obool))),c_fequal)),hAPP(hAPP(c_COMBS(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool),tc_prod(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool))),c_Product__Type_OPair(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool))),c_COMBI(tc_fun(B,tc_HOL_Obool))))))))).
% 11.88/12.14 Following clause subsumed by 11596 during input processing: 0 [copy,11487,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)).
% 11.91/12.15 Following clause subsumed by 10600 during input processing: 0 [copy,11488,flip.1] {-} c_Complete__Lattice_OInf__class_OInf(tc_fun(A,tc_HOL_Obool),hAPP(c_Relation_ORange(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),hAPP(c_Relation_ODomain(tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),tc_fun(A,tc_HOL_Obool)),hAPP(c_Product__Type_Ointernal__split(tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),tc_fun(A,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),tc_fun(tc_fun(A,tc_HOL_Obool),tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool))),tc_fun(tc_fun(A,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),tc_HOL_Obool),tc_fun(tc_fun(tc_fun(A,tc_HOL_Obool),tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool))),tc_fun(tc_fun(A,tc_HOL_Obool),tc_HOL_Obool)),tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool))),c_COMBB(tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),tc_HOL_Obool,tc_fun(A,tc_HOL_Obool))),c_fequal)),hAPP(hAPP(c_COMBS(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool),tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool))),c_Product__Type_OPair(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool))),c_COMBI(tc_fun(A,tc_HOL_Obool))))))))=hAPP(c_Relation_OImage(B,A,C),c_Complete__Lattice_OInf__class_OInf(tc_fun(B,tc_HOL_Obool),hAPP(c_Relation_ORange(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool)),hAPP(c_Relation_ODomain(tc_prod(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool)),tc_fun(B,tc_HOL_Obool)),hAPP(c_Product__Type_Ointernal__split(tc_prod(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool)),tc_fun(B,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_prod(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool)),tc_fun(tc_fun(B,tc_HOL_Obool),tc_prod(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool))),tc_fun(tc_fun(B,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool)),tc_HOL_Obool),tc_fun(tc_fun(tc_fun(B,tc_HOL_Obool),tc_prod(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool))),tc_fun(tc_fun(B,tc_HOL_Obool),tc_HOL_Obool)),tc_prod(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool))),c_COMBB(tc_prod(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool)),tc_HOL_Obool,tc_fun(B,tc_HOL_Obool))),c_fequal)),hAPP(hAPP(c_COMBS(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool),tc_prod(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool))),c_Product__Type_OPair(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool))),c_COMBI(tc_fun(B,tc_HOL_Obool))))))))).
% 11.91/12.15 Following clause subsumed by 11595 during input processing: 0 [copy,11489,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).
% 11.91/12.15 Following clause subsumed by 11503 during input processing: 0 [copy,11494,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).
% 11.91/12.16 Following clause subsumed by 11502 during input processing: 0 [copy,11495,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).
% 11.91/12.16 11495 back subsumes 11482.
% 11.91/12.16 Following clause subsumed by 11497 during input processing: 0 [copy,11496,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)).
% 11.91/12.16 Following clause subsumed by 11496 during input processing: 0 [copy,11497,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))).
% 11.91/12.16 Following clause subsumed by 6306 during input processing: 0 [copy,11499,flip.1,demod,11594,11745,11758,12074] {-} 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))).
% 11.91/12.16 Following clause subsumed by 11495 during input processing: 0 [copy,11502,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)).
% 11.91/12.16 Following clause subsumed by 11494 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_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)))).
% 11.91/12.16 Following clause subsumed by 10704 during input processing: 0 [copy,11506,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))).
% 11.91/12.16 Following clause subsumed by 10705 during input processing: 0 [copy,11507,flip.1] {-} 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)),c_Complete__Lattice_OInf__class_OInf(tc_fun(A,tc_HOL_Obool),hAPP(c_Relation_ORange(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),hAPP(c_Relation_ODomain(tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),tc_fun(A,tc_HOL_Obool)),hAPP(c_Product__Type_Ointernal__split(tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),tc_fun(A,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),tc_fun(tc_fun(A,tc_HOL_Obool),tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool))),tc_fun(tc_fun(A,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),tc_HOL_Obool),tc_fun(tc_fun(tc_fun(A,tc_HOL_Obool),tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool))),tc_fun(tc_fun(A,tc_HOL_Obool),tc_HOL_Obool)),tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool))),c_COMBB(tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),tc_HOL_Obool,tc_fun(A,tc_HOL_Obool))),c_fequal)),hAPP(hAPP(c_COMBS(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool),tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool))),c_Product__Type_OPair(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool))),c_COMBI(tc_fun(A,tc_HOL_Obool)))))))))))),c_Complete__Lattice_OInf__class_OInf(tc_fun(tc_fun(A,tc_HOL_Obool),tc_HOL_Obool),hAPP(c_Relation_ORange(tc_fun(tc_fun(A,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(A,tc_HOL_Obool),tc_HOL_Obool)),hAPP(c_Relation_ODomain(tc_prod(tc_fun(tc_fun(A,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(A,tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(A,tc_HOL_Obool),tc_HOL_Obool)),hAPP(c_Product__Type_Ointernal__split(tc_prod(tc_fun(tc_fun(A,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(A,tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(A,tc_HOL_Obool),tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_prod(tc_fun(tc_fun(A,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(A,tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_fun(A,tc_HOL_Obool),tc_HOL_Obool),tc_prod(tc_fun(tc_fun(A,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(A,tc_HOL_Obool),tc_HOL_Obool))),tc_fun(tc_fun(tc_fun(A,tc_HOL_Obool),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_fun(tc_fun(A,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(A,tc_HOL_Obool),tc_HOL_Obool)),tc_HOL_Obool),tc_fun(tc_fun(tc_fun(tc_fun(A,tc_HOL_Obool),tc_HOL_Obool),tc_prod(tc_fun(tc_fun(A,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(A,tc_HOL_Obool),tc_HOL_Obool))),tc_fun(tc_fun(tc_fun(A,tc_HOL_Obool),tc_HOL_Obool),tc_HOL_Obool)),tc_prod(tc_fun(tc_fun(A,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(A,tc_HOL_Obool),tc_HOL_Obool))),c_COMBB(tc_prod(tc_fun(tc_fun(A,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(A,tc_HOL_Obool),tc_HOL_Obool)),tc_HOL_Obool,tc_fun(tc_fun(A,tc_HOL_Obool),tc_HOL_Obool))),c_fequal)),hAPP(hAPP(c_COMBS(tc_fun(tc_fun(A,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(A,tc_HOL_Obool),tc_HOL_Obool),tc_prod(tc_fun(tc_fun(A,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(A,tc_HOL_Obool),tc_HOL_Obool))),c_Product__Type_OPair(tc_fun(tc_fun(A,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(A,tc_HOL_Obool),tc_HOL_Obool))),c_COMBI(tc_fun(tc_fun(A,tc_HOL_Obool),tc_HOL_Obool))))))))))=hAPP(hAPP(c_Equiv__Relations_Oquotient(A),B),C).
% 11.91/12.16 Following clause subsumed by 10707 during input processing: 0 [copy,11508,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)).
% 11.91/12.16 Following clause subsumed by 10708 during input processing: 0 [copy,11509,flip.1] {-} hAPP(c_Code__Numeral_Oof__nat,hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_COMBK(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,c_Int_OPls)))),c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,A,B)))=hAPP(hAPP(c_Code__Numeral_Osubtract__code__numeral,hAPP(c_Code__Numeral_Oof__nat,B)),hAPP(c_Code__Numeral_Oof__nat,A)).
% 11.91/12.16 Following clause subsumed by 10765 during input processing: 0 [copy,11516,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)),c_Complete__Lattice_OInf__class_OInf(tc_fun(A,tc_HOL_Obool),hAPP(c_Relation_ORange(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),hAPP(c_Relation_ODomain(tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),tc_fun(A,tc_HOL_Obool)),hAPP(c_Product__Type_Ointernal__split(tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),tc_fun(A,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),tc_fun(tc_fun(A,tc_HOL_Obool),tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool))),tc_fun(tc_fun(A,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),tc_HOL_Obool),tc_fun(tc_fun(tc_fun(A,tc_HOL_Obool),tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool))),tc_fun(tc_fun(A,tc_HOL_Obool),tc_HOL_Obool)),tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool))),c_COMBB(tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),tc_HOL_Obool,tc_fun(A,tc_HOL_Obool))),c_fequal)),hAPP(hAPP(c_COMBS(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool),tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool))),c_Product__Type_OPair(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool))),c_COMBI(tc_fun(A,tc_HOL_Obool)))))))))))=hAPP(c_Relation_OImage(A,B,D),C).
% 11.91/12.16 Following clause subsumed by 10766 during input processing: 0 [copy,11517,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)).
% 11.91/12.16 Following clause subsumed by 10770 during input processing: 0 [copy,11540,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)),c_Complete__Lattice_OInf__class_OInf(tc_fun(B,tc_HOL_Obool),hAPP(c_Relation_ORange(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool)),hAPP(c_Relation_ODomain(tc_prod(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool)),tc_fun(B,tc_HOL_Obool)),hAPP(c_Product__Type_Ointernal__split(tc_prod(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool)),tc_fun(B,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_prod(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool)),tc_fun(tc_fun(B,tc_HOL_Obool),tc_prod(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool))),tc_fun(tc_fun(B,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool)),tc_HOL_Obool),tc_fun(tc_fun(tc_fun(B,tc_HOL_Obool),tc_prod(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool))),tc_fun(tc_fun(B,tc_HOL_Obool),tc_HOL_Obool)),tc_prod(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool))),c_COMBB(tc_prod(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool)),tc_HOL_Obool,tc_fun(B,tc_HOL_Obool))),c_fequal)),hAPP(hAPP(c_COMBS(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool),tc_prod(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool))),c_Product__Type_OPair(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool))),c_COMBI(tc_fun(B,tc_HOL_Obool))))))))))=hAPP(c_Set_Oimage(A,B,D),C).
% 11.91/12.16 Following clause subsumed by 11587 during input processing: 0 [copy,11541,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).
% 11.91/12.16 Following clause subsumed by 10774 during input processing: 0 [copy,11543,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)).
% 11.91/12.16 Following clause subsumed by 10790 during input processing: 0 [copy,11544,flip.1] {-} hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),c_Complete__Lattice_OInf__class_OInf(tc_fun(tc_Int_Oint,tc_HOL_Obool),hAPP(c_Relation_ORange(tc_fun(tc_Int_Oint,tc_HOL_Obool),tc_fun(tc_Int_Oint,tc_HOL_Obool)),hAPP(c_Relation_ODomain(tc_prod(tc_fun(tc_Int_Oint,tc_HOL_Obool),tc_fun(tc_Int_Oint,tc_HOL_Obool)),tc_fun(tc_Int_Oint,tc_HOL_Obool)),hAPP(c_Product__Type_Ointernal__split(tc_prod(tc_fun(tc_Int_Oint,tc_HOL_Obool),tc_fun(tc_Int_Oint,tc_HOL_Obool)),tc_fun(tc_Int_Oint,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_prod(tc_fun(tc_Int_Oint,tc_HOL_Obool),tc_fun(tc_Int_Oint,tc_HOL_Obool)),tc_fun(tc_fun(tc_Int_Oint,tc_HOL_Obool),tc_prod(tc_fun(tc_Int_Oint,tc_HOL_Obool),tc_fun(tc_Int_Oint,tc_HOL_Obool))),tc_fun(tc_fun(tc_Int_Oint,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_fun(tc_Int_Oint,tc_HOL_Obool),tc_fun(tc_Int_Oint,tc_HOL_Obool)),tc_HOL_Obool),tc_fun(tc_fun(tc_fun(tc_Int_Oint,tc_HOL_Obool),tc_prod(tc_fun(tc_Int_Oint,tc_HOL_Obool),tc_fun(tc_Int_Oint,tc_HOL_Obool))),tc_fun(tc_fun(tc_Int_Oint,tc_HOL_Obool),tc_HOL_Obool)),tc_prod(tc_fun(tc_Int_Oint,tc_HOL_Obool),tc_fun(tc_Int_Oint,tc_HOL_Obool))),c_COMBB(tc_prod(tc_fun(tc_Int_Oint,tc_HOL_Obool),tc_fun(tc_Int_Oint,tc_HOL_Obool)),tc_HOL_Obool,tc_fun(tc_Int_Oint,tc_HOL_Obool))),c_fequal)),hAPP(hAPP(c_COMBS(tc_fun(tc_Int_Oint,tc_HOL_Obool),tc_fun(tc_Int_Oint,tc_HOL_Obool),tc_prod(tc_fun(tc_Int_Oint,tc_HOL_Obool),tc_fun(tc_Int_Oint,tc_HOL_Obool))),c_Product__Type_OPair(tc_fun(tc_Int_Oint,tc_HOL_Obool),tc_fun(tc_Int_Oint,tc_HOL_Obool))),c_COMBI(tc_fun(tc_Int_Oint,tc_HOL_Obool)))))))))=hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,A),hAPP(c_Int_Onat,c_Int_OPls)).
% 11.91/12.16 Following clause subsumed by 11713 during input processing: 0 [copy,11545,flip.1] {-} c_HOL_OThe(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).
% 11.91/12.16 Following clause subsumed by 10807 during input processing: 0 [copy,11547,flip.1] {-} c_Option_Ooption_ONone(A)=hAPP(c_Map_Orestrict__map(B,A,C,c_Complete__Lattice_OInf__class_OInf(tc_fun(B,tc_HOL_Obool),hAPP(c_Relation_ORange(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool)),hAPP(c_Relation_ODomain(tc_prod(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool)),tc_fun(B,tc_HOL_Obool)),hAPP(c_Product__Type_Ointernal__split(tc_prod(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool)),tc_fun(B,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_prod(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool)),tc_fun(tc_fun(B,tc_HOL_Obool),tc_prod(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool))),tc_fun(tc_fun(B,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool)),tc_HOL_Obool),tc_fun(tc_fun(tc_fun(B,tc_HOL_Obool),tc_prod(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool))),tc_fun(tc_fun(B,tc_HOL_Obool),tc_HOL_Obool)),tc_prod(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool))),c_COMBB(tc_prod(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool)),tc_HOL_Obool,tc_fun(B,tc_HOL_Obool))),c_fequal)),hAPP(hAPP(c_COMBS(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool),tc_prod(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool))),c_Product__Type_OPair(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool))),c_COMBI(tc_fun(B,tc_HOL_Obool))))))))),D).
% 11.91/12.16 Following clause subsumed by 10858 during input processing: 0 [copy,11553,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))).
% 11.91/12.16 Following clause subsumed by 10864 during input processing: 0 [copy,11554,flip.1] {-} c_Complete__Lattice_OInf__class_OInf(tc_fun(A,tc_HOL_Obool),hAPP(c_Relation_ORange(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),hAPP(c_Relation_ODomain(tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),tc_fun(A,tc_HOL_Obool)),hAPP(c_Product__Type_Ointernal__split(tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),tc_fun(A,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),tc_fun(tc_fun(A,tc_HOL_Obool),tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool))),tc_fun(tc_fun(A,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),tc_HOL_Obool),tc_fun(tc_fun(tc_fun(A,tc_HOL_Obool),tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool))),tc_fun(tc_fun(A,tc_HOL_Obool),tc_HOL_Obool)),tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool))),c_COMBB(tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),tc_HOL_Obool,tc_fun(A,tc_HOL_Obool))),c_fequal)),hAPP(hAPP(c_COMBS(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool),tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool))),c_Product__Type_OPair(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool))),c_COMBI(tc_fun(A,tc_HOL_Obool))))))))=c_Map_Odom(A,B,hAPP(c_COMBK(tc_Option_Ooption(B),A),c_Option_Ooption_ONone(B))).
% 11.91/12.16 Following clause subsumed by 11475 during input processing: 0 [copy,11555,flip.1] {-} hAPP(c_New__DSequence_Opos__not__seq(A),B)=c_Lazy__Sequence_Ohb__not__seq(hAPP(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Code__Numeral_Ocode__numeral),hAPP(c_Code__Numeral_Oof__nat,hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_Odivmod__int(c_Int_OMin,c_Int_OMin))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OPls),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OMin),hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_Odivmod__int(c_Int_OMin,c_Int_OMin)))))))),B))).
% 11.91/12.16 Following clause subsumed by 11735 during input processing: 0 [copy,11559,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)).
% 11.91/12.17 Following clause subsumed by 10881 during input processing: 0 [copy,11560,flip.1] {-} c_Complete__Lattice_OInf__class_OInf(tc_fun(A,tc_HOL_Obool),hAPP(c_Relation_ORange(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),hAPP(c_Relation_ODomain(tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),tc_fun(A,tc_HOL_Obool)),hAPP(c_Product__Type_Ointernal__split(tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),tc_fun(A,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),tc_fun(tc_fun(A,tc_HOL_Obool),tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool))),tc_fun(tc_fun(A,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),tc_HOL_Obool),tc_fun(tc_fun(tc_fun(A,tc_HOL_Obool),tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool))),tc_fun(tc_fun(A,tc_HOL_Obool),tc_HOL_Obool)),tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool))),c_COMBB(tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),tc_HOL_Obool,tc_fun(A,tc_HOL_Obool))),c_fequal)),hAPP(hAPP(c_COMBS(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool),tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool))),c_Product__Type_OPair(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool))),c_COMBI(tc_fun(A,tc_HOL_Obool))))))))=hAPP(c_Set_Ovimage(A,B,C),c_Complete__Lattice_OInf__class_OInf(tc_fun(B,tc_HOL_Obool),hAPP(c_Relation_ORange(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool)),hAPP(c_Relation_ODomain(tc_prod(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool)),tc_fun(B,tc_HOL_Obool)),hAPP(c_Product__Type_Ointernal__split(tc_prod(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool)),tc_fun(B,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_prod(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool)),tc_fun(tc_fun(B,tc_HOL_Obool),tc_prod(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool))),tc_fun(tc_fun(B,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool)),tc_HOL_Obool),tc_fun(tc_fun(tc_fun(B,tc_HOL_Obool),tc_prod(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool))),tc_fun(tc_fun(B,tc_HOL_Obool),tc_HOL_Obool)),tc_prod(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool))),c_COMBB(tc_prod(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool)),tc_HOL_Obool,tc_fun(B,tc_HOL_Obool))),c_fequal)),hAPP(hAPP(c_COMBS(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool),tc_prod(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool))),c_Product__Type_OPair(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool))),c_COMBI(tc_fun(B,tc_HOL_Obool))))))))).
% 11.91/12.17 Following clause subsumed by 11582 during input processing: 0 [copy,11561,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)).
% 11.91/12.17 Following clause subsumed by 10886 during input processing: 0 [copy,11564,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)),c_Complete__Lattice_OInf__class_OInf(tc_fun(A,tc_HOL_Obool),hAPP(c_Relation_ORange(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),hAPP(c_Relation_ODomain(tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),tc_fun(A,tc_HOL_Obool)),hAPP(c_Product__Type_Ointernal__split(tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),tc_fun(A,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),tc_fun(tc_fun(A,tc_HOL_Obool),tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool))),tc_fun(tc_fun(A,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),tc_HOL_Obool),tc_fun(tc_fun(tc_fun(A,tc_HOL_Obool),tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool))),tc_fun(tc_fun(A,tc_HOL_Obool),tc_HOL_Obool)),tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool))),c_COMBB(tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),tc_HOL_Obool,tc_fun(A,tc_HOL_Obool))),c_fequal)),hAPP(hAPP(c_COMBS(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool),tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool))),c_Product__Type_OPair(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool))),c_COMBI(tc_fun(A,tc_HOL_Obool)))))))))))=hAPP(c_Set_Ovimage(B,A,D),C).
% 11.91/12.17 Following clause subsumed by 10887 during input processing: 0 [copy,11565,flip.1] {-} hAPP(hAPP(c_Product__Type_OSigma(A,B),hAPP(c_Set_Oimage(C,A,D),E)),hAPP(hAPP(c_COMBB(tc_fun(C,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool),A),c_Set_Oimage(C,B,F)),hAPP(hAPP(c_COMBC(A,tc_fun(C,tc_HOL_Obool),tc_fun(C,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(C,tc_HOL_Obool),tc_fun(tc_fun(C,tc_HOL_Obool),tc_fun(C,tc_HOL_Obool)),A),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(C,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(A,tc_HOL_Obool),tc_fun(C,tc_HOL_Obool),A),c_Set_Ovimage(C,A,D)),hAPP(hAPP(c_COMBC(A,tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),c_Set_Oinsert(A)),c_Complete__Lattice_OInf__class_OInf(tc_fun(A,tc_HOL_Obool),hAPP(c_Relation_ORange(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),hAPP(c_Relation_ODomain(tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),tc_fun(A,tc_HOL_Obool)),hAPP(c_Product__Type_Ointernal__split(tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),tc_fun(A,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),tc_fun(tc_fun(A,tc_HOL_Obool),tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool))),tc_fun(tc_fun(A,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),tc_HOL_Obool),tc_fun(tc_fun(tc_fun(A,tc_HOL_Obool),tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool))),tc_fun(tc_fun(A,tc_HOL_Obool),tc_HOL_Obool)),tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool))),c_COMBB(tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),tc_HOL_Obool,tc_fun(A,tc_HOL_Obool))),c_fequal)),hAPP(hAPP(c_COMBS(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool),tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool))),c_Product__Type_OPair(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool))),c_COMBI(tc_fun(A,tc_HOL_Obool)))))))))))),E)))=hAPP(c_Set_Oimage(C,tc_prod(A,B),hAPP(hAPP(c_COMBS(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)),F)),E).
% 11.91/12.23 Following clause subsumed by 10888 during input processing: 0 [copy,11566,flip.1] {-} c_Complete__Lattice_OInf__class_OInf(tc_fun(tc_prod(A,B),tc_HOL_Obool),hAPP(c_Relation_ORange(tc_fun(tc_prod(A,B),tc_HOL_Obool),tc_fun(tc_prod(A,B),tc_HOL_Obool)),hAPP(c_Relation_ODomain(tc_prod(tc_fun(tc_prod(A,B),tc_HOL_Obool),tc_fun(tc_prod(A,B),tc_HOL_Obool)),tc_fun(tc_prod(A,B),tc_HOL_Obool)),hAPP(c_Product__Type_Ointernal__split(tc_prod(tc_fun(tc_prod(A,B),tc_HOL_Obool),tc_fun(tc_prod(A,B),tc_HOL_Obool)),tc_fun(tc_prod(A,B),tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_prod(tc_fun(tc_prod(A,B),tc_HOL_Obool),tc_fun(tc_prod(A,B),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(A,B),tc_HOL_Obool),tc_prod(tc_fun(tc_prod(A,B),tc_HOL_Obool),tc_fun(tc_prod(A,B),tc_HOL_Obool))),tc_fun(tc_fun(tc_prod(A,B),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_fun(tc_prod(A,B),tc_HOL_Obool),tc_fun(tc_prod(A,B),tc_HOL_Obool)),tc_HOL_Obool),tc_fun(tc_fun(tc_fun(tc_prod(A,B),tc_HOL_Obool),tc_prod(tc_fun(tc_prod(A,B),tc_HOL_Obool),tc_fun(tc_prod(A,B),tc_HOL_Obool))),tc_fun(tc_fun(tc_prod(A,B),tc_HOL_Obool),tc_HOL_Obool)),tc_prod(tc_fun(tc_prod(A,B),tc_HOL_Obool),tc_fun(tc_prod(A,B),tc_HOL_Obool))),c_COMBB(tc_prod(tc_fun(tc_prod(A,B),tc_HOL_Obool),tc_fun(tc_prod(A,B),tc_HOL_Obool)),tc_HOL_Obool,tc_fun(tc_prod(A,B),tc_HOL_Obool))),c_fequal)),hAPP(hAPP(c_COMBS(tc_fun(tc_prod(A,B),tc_HOL_Obool),tc_fun(tc_prod(A,B),tc_HOL_Obool),tc_prod(tc_fun(tc_prod(A,B),tc_HOL_Obool),tc_fun(tc_prod(A,B),tc_HOL_Obool))),c_Product__Type_OPair(tc_fun(tc_prod(A,B),tc_HOL_Obool),tc_fun(tc_prod(A,B),tc_HOL_Obool))),c_COMBI(tc_fun(tc_prod(A,B),tc_HOL_Obool))))))))=hAPP(hAPP(c_Product__Type_OSigma(A,B),c_Complete__Lattice_OInf__class_OInf(tc_fun(A,tc_HOL_Obool),hAPP(c_Relation_ORange(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),hAPP(c_Relation_ODomain(tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),tc_fun(A,tc_HOL_Obool)),hAPP(c_Product__Type_Ointernal__split(tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),tc_fun(A,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),tc_fun(tc_fun(A,tc_HOL_Obool),tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool))),tc_fun(tc_fun(A,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),tc_HOL_Obool),tc_fun(tc_fun(tc_fun(A,tc_HOL_Obool),tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool))),tc_fun(tc_fun(A,tc_HOL_Obool),tc_HOL_Obool)),tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool))),c_COMBB(tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),tc_HOL_Obool,tc_fun(A,tc_HOL_Obool))),c_fequal)),hAPP(hAPP(c_COMBS(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool),tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool))),c_Product__Type_OPair(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool))),c_COMBI(tc_fun(A,tc_HOL_Obool))))))))),C).
% 11.91/12.23 Following clause subsumed by 11786 during input processing: 0 [copy,11567,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).
% 11.91/12.23 Following clause subsumed by 11581 during input processing: 0 [copy,11571,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).
% 11.91/12.23 11571 back subsumes 11570.
% 11.91/12.23 Following clause subsumed by 10924 during input processing: 0 [copy,11578,flip.1] {-} hAPP(hAPP(c_Product__Type_OSigma(A,B),C),hAPP(hAPP(c_COMBB(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool),A),c_Set_OCollect(B)),D))=hAPP(c_Product__Type_Ointernal__split(A,B,tc_HOL_Obool),hAPP(hAPP(c_COMBS(A,tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool)),A),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,B)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),A),c_fconj),C))),D)).
% 11.91/12.23 Following clause subsumed by 11571 during input processing: 0 [copy,11581,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)).
% 11.91/12.23 Following clause subsumed by 11561 during input processing: 0 [copy,11582,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)).
% 11.99/12.25 Following clause subsumed by 11541 during input processing: 0 [copy,11587,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)).
% 11.99/12.25 Following clause subsumed by 11489 during input processing: 0 [copy,11595,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)).
% 11.99/12.25 Following clause subsumed by 11487 during input processing: 0 [copy,11596,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)).
% 11.99/12.25 Following clause subsumed by 11485 during input processing: 0 [copy,11598,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)).
% 11.99/12.25 Following clause subsumed by 11161 during input processing: 0 [copy,11612,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)).
% 11.99/12.25 Following clause subsumed by 11139 during input processing: 0 [copy,11615,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)).
% 11.99/12.25 Following clause subsumed by 11133 during input processing: 0 [copy,11616,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).
% 11.99/12.25 Following clause subsumed by 11092 during input processing: 0 [copy,11623,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).
% 11.99/12.25 Following clause subsumed by 11644 during input processing: 0 [copy,11644,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).
% 11.99/12.25 11652 back subsumes 10973.
% 11.99/12.25 11678 back subsumes 11020.
% 11.99/12.25 11708 back subsumes 11038.
% 11.99/12.25 11711 back subsumes 11048.
% 12.04/12.31 Following clause subsumed by 11545 during input processing: 0 [copy,11713,flip.1] {-} hAPP(c_Fun_Othe__inv__into(A,B,C,D),E)=c_HOL_OThe(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))).
% 12.04/12.31 Following clause subsumed by 11291 during input processing: 0 [copy,11717,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)).
% 12.04/12.31 Following clause subsumed by 11072 during input processing: 0 [copy,11726,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).
% 12.04/12.31 Following clause subsumed by 11559 during input processing: 0 [copy,11735,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)).
% 12.04/12.31 Following clause subsumed by 11151 during input processing: 0 [copy,11741,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)).
% 12.04/12.31 Following clause subsumed by 11058 during input processing: 0 [copy,11774,flip.1] {-} hAPP(c_Set_Ovimage(A,tc_prod(B,A),hAPP(c_Product__Type_OPair(B,A),C)),D)=hAPP(c_Relation_OImage(B,A,D),hAPP(c_fequal,C)).
% 12.04/12.31 Following clause subsumed by 12127 during input processing: 0 [copy,11778,flip.1] {-} hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(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(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)).
% 12.04/12.31 Following clause subsumed by 12128 during input processing: 0 [copy,11779,flip.1] {-} hAPP(c_Set_Oimage(A,B,C),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),hAPP(c_fequal,D)))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),E))))=hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,B),c_fNot),hAPP(c_Relation_OImage(B,B,c_Relation_OId__on(B,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,B),c_fNot),hAPP(c_fequal,hAPP(C,D))))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,B),c_fNot),hAPP(c_Set_Oimage(A,B,C),E)))).
% 12.04/12.31 Following clause subsumed by 11567 during input processing: 0 [copy,11786,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))).
% 12.04/12.31 Following clause subsumed by 11055 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_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).
% 12.04/12.31 Following clause subsumed by 11059 during input processing: 0 [copy,11806,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)).
% 12.04/12.31 Following clause subsumed by 11084 during input processing: 0 [copy,11807,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).
% 12.04/12.31 Following clause subsumed by 11085 during input processing: 0 [copy,11808,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)).
% 12.04/12.31 Following clause subsumed by 11086 during input processing: 0 [copy,11809,flip.1] {-} c_Complete__Lattice_OInf__class_OInf(tc_fun(tc_prod(A,B),tc_HOL_Obool),hAPP(c_Relation_ORange(tc_fun(tc_prod(A,B),tc_HOL_Obool),tc_fun(tc_prod(A,B),tc_HOL_Obool)),hAPP(c_Relation_ODomain(tc_prod(tc_fun(tc_prod(A,B),tc_HOL_Obool),tc_fun(tc_prod(A,B),tc_HOL_Obool)),tc_fun(tc_prod(A,B),tc_HOL_Obool)),hAPP(c_Product__Type_Ointernal__split(tc_prod(tc_fun(tc_prod(A,B),tc_HOL_Obool),tc_fun(tc_prod(A,B),tc_HOL_Obool)),tc_fun(tc_prod(A,B),tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_prod(tc_fun(tc_prod(A,B),tc_HOL_Obool),tc_fun(tc_prod(A,B),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(A,B),tc_HOL_Obool),tc_prod(tc_fun(tc_prod(A,B),tc_HOL_Obool),tc_fun(tc_prod(A,B),tc_HOL_Obool))),tc_fun(tc_fun(tc_prod(A,B),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_fun(tc_prod(A,B),tc_HOL_Obool),tc_fun(tc_prod(A,B),tc_HOL_Obool)),tc_HOL_Obool),tc_fun(tc_fun(tc_fun(tc_prod(A,B),tc_HOL_Obool),tc_prod(tc_fun(tc_prod(A,B),tc_HOL_Obool),tc_fun(tc_prod(A,B),tc_HOL_Obool))),tc_fun(tc_fun(tc_prod(A,B),tc_HOL_Obool),tc_HOL_Obool)),tc_prod(tc_fun(tc_prod(A,B),tc_HOL_Obool),tc_fun(tc_prod(A,B),tc_HOL_Obool))),c_COMBB(tc_prod(tc_fun(tc_prod(A,B),tc_HOL_Obool),tc_fun(tc_prod(A,B),tc_HOL_Obool)),tc_HOL_Obool,tc_fun(tc_prod(A,B),tc_HOL_Obool))),c_fequal)),hAPP(hAPP(c_COMBS(tc_fun(tc_prod(A,B),tc_HOL_Obool),tc_fun(tc_prod(A,B),tc_HOL_Obool),tc_prod(tc_fun(tc_prod(A,B),tc_HOL_Obool),tc_fun(tc_prod(A,B),tc_HOL_Obool))),c_Product__Type_OPair(tc_fun(tc_prod(A,B),tc_HOL_Obool),tc_fun(tc_prod(A,B),tc_HOL_Obool))),c_COMBI(tc_fun(tc_prod(A,B),tc_HOL_Obool))))))))=hAPP(hAPP(c_Relation_Orel__comp(A,C,B),D),c_Complete__Lattice_OInf__class_OInf(tc_fun(tc_prod(C,B),tc_HOL_Obool),hAPP(c_Relation_ORange(tc_fun(tc_prod(C,B),tc_HOL_Obool),tc_fun(tc_prod(C,B),tc_HOL_Obool)),hAPP(c_Relation_ODomain(tc_prod(tc_fun(tc_prod(C,B),tc_HOL_Obool),tc_fun(tc_prod(C,B),tc_HOL_Obool)),tc_fun(tc_prod(C,B),tc_HOL_Obool)),hAPP(c_Product__Type_Ointernal__split(tc_prod(tc_fun(tc_prod(C,B),tc_HOL_Obool),tc_fun(tc_prod(C,B),tc_HOL_Obool)),tc_fun(tc_prod(C,B),tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_prod(tc_fun(tc_prod(C,B),tc_HOL_Obool),tc_fun(tc_prod(C,B),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(C,B),tc_HOL_Obool),tc_prod(tc_fun(tc_prod(C,B),tc_HOL_Obool),tc_fun(tc_prod(C,B),tc_HOL_Obool))),tc_fun(tc_fun(tc_prod(C,B),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_fun(tc_prod(C,B),tc_HOL_Obool),tc_fun(tc_prod(C,B),tc_HOL_Obool)),tc_HOL_Obool),tc_fun(tc_fun(tc_fun(tc_prod(C,B),tc_HOL_Obool),tc_prod(tc_fun(tc_prod(C,B),tc_HOL_Obool),tc_fun(tc_prod(C,B),tc_HOL_Obool))),tc_fun(tc_fun(tc_prod(C,B),tc_HOL_Obool),tc_HOL_Obool)),tc_prod(tc_fun(tc_prod(C,B),tc_HOL_Obool),tc_fun(tc_prod(C,B),tc_HOL_Obool))),c_COMBB(tc_prod(tc_fun(tc_prod(C,B),tc_HOL_Obool),tc_fun(tc_prod(C,B),tc_HOL_Obool)),tc_HOL_Obool,tc_fun(tc_prod(C,B),tc_HOL_Obool))),c_fequal)),hAPP(hAPP(c_COMBS(tc_fun(tc_prod(C,B),tc_HOL_Obool),tc_fun(tc_prod(C,B),tc_HOL_Obool),tc_prod(tc_fun(tc_prod(C,B),tc_HOL_Obool),tc_fun(tc_prod(C,B),tc_HOL_Obool))),c_Product__Type_OPair(tc_fun(tc_prod(C,B),tc_HOL_Obool),tc_fun(tc_prod(C,B),tc_HOL_Obool))),c_COMBI(tc_fun(tc_prod(C,B),tc_HOL_Obool))))))))).
% 12.04/12.31 Following clause subsumed by 11087 during input processing: 0 [copy,11810,flip.1] {-} c_Complete__Lattice_OInf__class_OInf(tc_fun(tc_prod(A,B),tc_HOL_Obool),hAPP(c_Relation_ORange(tc_fun(tc_prod(A,B),tc_HOL_Obool),tc_fun(tc_prod(A,B),tc_HOL_Obool)),hAPP(c_Relation_ODomain(tc_prod(tc_fun(tc_prod(A,B),tc_HOL_Obool),tc_fun(tc_prod(A,B),tc_HOL_Obool)),tc_fun(tc_prod(A,B),tc_HOL_Obool)),hAPP(c_Product__Type_Ointernal__split(tc_prod(tc_fun(tc_prod(A,B),tc_HOL_Obool),tc_fun(tc_prod(A,B),tc_HOL_Obool)),tc_fun(tc_prod(A,B),tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_prod(tc_fun(tc_prod(A,B),tc_HOL_Obool),tc_fun(tc_prod(A,B),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(A,B),tc_HOL_Obool),tc_prod(tc_fun(tc_prod(A,B),tc_HOL_Obool),tc_fun(tc_prod(A,B),tc_HOL_Obool))),tc_fun(tc_fun(tc_prod(A,B),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_fun(tc_prod(A,B),tc_HOL_Obool),tc_fun(tc_prod(A,B),tc_HOL_Obool)),tc_HOL_Obool),tc_fun(tc_fun(tc_fun(tc_prod(A,B),tc_HOL_Obool),tc_prod(tc_fun(tc_prod(A,B),tc_HOL_Obool),tc_fun(tc_prod(A,B),tc_HOL_Obool))),tc_fun(tc_fun(tc_prod(A,B),tc_HOL_Obool),tc_HOL_Obool)),tc_prod(tc_fun(tc_prod(A,B),tc_HOL_Obool),tc_fun(tc_prod(A,B),tc_HOL_Obool))),c_COMBB(tc_prod(tc_fun(tc_prod(A,B),tc_HOL_Obool),tc_fun(tc_prod(A,B),tc_HOL_Obool)),tc_HOL_Obool,tc_fun(tc_prod(A,B),tc_HOL_Obool))),c_fequal)),hAPP(hAPP(c_COMBS(tc_fun(tc_prod(A,B),tc_HOL_Obool),tc_fun(tc_prod(A,B),tc_HOL_Obool),tc_prod(tc_fun(tc_prod(A,B),tc_HOL_Obool),tc_fun(tc_prod(A,B),tc_HOL_Obool))),c_Product__Type_OPair(tc_fun(tc_prod(A,B),tc_HOL_Obool),tc_fun(tc_prod(A,B),tc_HOL_Obool))),c_COMBI(tc_fun(tc_prod(A,B),tc_HOL_Obool))))))))=hAPP(hAPP(c_Relation_Orel__comp(A,C,B),c_Complete__Lattice_OInf__class_OInf(tc_fun(tc_prod(A,C),tc_HOL_Obool),hAPP(c_Relation_ORange(tc_fun(tc_prod(A,C),tc_HOL_Obool),tc_fun(tc_prod(A,C),tc_HOL_Obool)),hAPP(c_Relation_ODomain(tc_prod(tc_fun(tc_prod(A,C),tc_HOL_Obool),tc_fun(tc_prod(A,C),tc_HOL_Obool)),tc_fun(tc_prod(A,C),tc_HOL_Obool)),hAPP(c_Product__Type_Ointernal__split(tc_prod(tc_fun(tc_prod(A,C),tc_HOL_Obool),tc_fun(tc_prod(A,C),tc_HOL_Obool)),tc_fun(tc_prod(A,C),tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_prod(tc_fun(tc_prod(A,C),tc_HOL_Obool),tc_fun(tc_prod(A,C),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(A,C),tc_HOL_Obool),tc_prod(tc_fun(tc_prod(A,C),tc_HOL_Obool),tc_fun(tc_prod(A,C),tc_HOL_Obool))),tc_fun(tc_fun(tc_prod(A,C),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_fun(tc_prod(A,C),tc_HOL_Obool),tc_fun(tc_prod(A,C),tc_HOL_Obool)),tc_HOL_Obool),tc_fun(tc_fun(tc_fun(tc_prod(A,C),tc_HOL_Obool),tc_prod(tc_fun(tc_prod(A,C),tc_HOL_Obool),tc_fun(tc_prod(A,C),tc_HOL_Obool))),tc_fun(tc_fun(tc_prod(A,C),tc_HOL_Obool),tc_HOL_Obool)),tc_prod(tc_fun(tc_prod(A,C),tc_HOL_Obool),tc_fun(tc_prod(A,C),tc_HOL_Obool))),c_COMBB(tc_prod(tc_fun(tc_prod(A,C),tc_HOL_Obool),tc_fun(tc_prod(A,C),tc_HOL_Obool)),tc_HOL_Obool,tc_fun(tc_prod(A,C),tc_HOL_Obool))),c_fequal)),hAPP(hAPP(c_COMBS(tc_fun(tc_prod(A,C),tc_HOL_Obool),tc_fun(tc_prod(A,C),tc_HOL_Obool),tc_prod(tc_fun(tc_prod(A,C),tc_HOL_Obool),tc_fun(tc_prod(A,C),tc_HOL_Obool))),c_Product__Type_OPair(tc_fun(tc_prod(A,C),tc_HOL_Obool),tc_fun(tc_prod(A,C),tc_HOL_Obool))),c_COMBI(tc_fun(tc_prod(A,C),tc_HOL_Obool))))))))),D).
% 12.04/12.32 Following clause subsumed by 11089 during input processing: 0 [copy,11811,flip.1] {-} c_Relation_OId__on(tc_List_Olist(A),c_Complete__Lattice_OInf__class_OInf(tc_fun(tc_List_Olist(A),tc_HOL_Obool),hAPP(c_Relation_ORange(tc_fun(tc_List_Olist(A),tc_HOL_Obool),tc_fun(tc_List_Olist(A),tc_HOL_Obool)),hAPP(c_Relation_ODomain(tc_prod(tc_fun(tc_List_Olist(A),tc_HOL_Obool),tc_fun(tc_List_Olist(A),tc_HOL_Obool)),tc_fun(tc_List_Olist(A),tc_HOL_Obool)),hAPP(c_Product__Type_Ointernal__split(tc_prod(tc_fun(tc_List_Olist(A),tc_HOL_Obool),tc_fun(tc_List_Olist(A),tc_HOL_Obool)),tc_fun(tc_List_Olist(A),tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_prod(tc_fun(tc_List_Olist(A),tc_HOL_Obool),tc_fun(tc_List_Olist(A),tc_HOL_Obool)),tc_fun(tc_fun(tc_List_Olist(A),tc_HOL_Obool),tc_prod(tc_fun(tc_List_Olist(A),tc_HOL_Obool),tc_fun(tc_List_Olist(A),tc_HOL_Obool))),tc_fun(tc_fun(tc_List_Olist(A),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_fun(tc_List_Olist(A),tc_HOL_Obool),tc_fun(tc_List_Olist(A),tc_HOL_Obool)),tc_HOL_Obool),tc_fun(tc_fun(tc_fun(tc_List_Olist(A),tc_HOL_Obool),tc_prod(tc_fun(tc_List_Olist(A),tc_HOL_Obool),tc_fun(tc_List_Olist(A),tc_HOL_Obool))),tc_fun(tc_fun(tc_List_Olist(A),tc_HOL_Obool),tc_HOL_Obool)),tc_prod(tc_fun(tc_List_Olist(A),tc_HOL_Obool),tc_fun(tc_List_Olist(A),tc_HOL_Obool))),c_COMBB(tc_prod(tc_fun(tc_List_Olist(A),tc_HOL_Obool),tc_fun(tc_List_Olist(A),tc_HOL_Obool)),tc_HOL_Obool,tc_fun(tc_List_Olist(A),tc_HOL_Obool))),c_fequal)),hAPP(hAPP(c_COMBS(tc_fun(tc_List_Olist(A),tc_HOL_Obool),tc_fun(tc_List_Olist(A),tc_HOL_Obool),tc_prod(tc_fun(tc_List_Olist(A),tc_HOL_Obool),tc_fun(tc_List_Olist(A),tc_HOL_Obool))),c_Product__Type_OPair(tc_fun(tc_List_Olist(A),tc_HOL_Obool),tc_fun(tc_List_Olist(A),tc_HOL_Obool))),c_COMBI(tc_fun(tc_List_Olist(A),tc_HOL_Obool)))))))))=hAPP(c_List_Olexn(A,B),hAPP(c_Int_Onat,c_Int_OPls)).
% 12.04/12.32 Following clause subsumed by 11126 during input processing: 0 [copy,11813,flip.1] {-} hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),c_Complete__Lattice_OInf__class_OInf(tc_fun(A,tc_HOL_Obool),hAPP(c_Relation_ORange(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),hAPP(c_Relation_ODomain(tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),tc_fun(A,tc_HOL_Obool)),hAPP(c_Product__Type_Ointernal__split(tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),tc_fun(A,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),tc_fun(tc_fun(A,tc_HOL_Obool),tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool))),tc_fun(tc_fun(A,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),tc_HOL_Obool),tc_fun(tc_fun(tc_fun(A,tc_HOL_Obool),tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool))),tc_fun(tc_fun(A,tc_HOL_Obool),tc_HOL_Obool)),tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool))),c_COMBB(tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),tc_HOL_Obool,tc_fun(A,tc_HOL_Obool))),c_fequal)),hAPP(hAPP(c_COMBS(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool),tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool))),c_Product__Type_OPair(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool))),c_COMBI(tc_fun(A,tc_HOL_Obool)))))))))=hAPP(c_Relation_ODomain(A,A),c_Transitive__Closure_Ortrancl(A,B)).
% 12.04/12.32 Following clause subsumed by 11127 during input processing: 0 [copy,11814,flip.1] {-} hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),c_Complete__Lattice_OInf__class_OInf(tc_fun(A,tc_HOL_Obool),hAPP(c_Relation_ORange(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),hAPP(c_Relation_ODomain(tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),tc_fun(A,tc_HOL_Obool)),hAPP(c_Product__Type_Ointernal__split(tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),tc_fun(A,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),tc_fun(tc_fun(A,tc_HOL_Obool),tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool))),tc_fun(tc_fun(A,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),tc_HOL_Obool),tc_fun(tc_fun(tc_fun(A,tc_HOL_Obool),tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool))),tc_fun(tc_fun(A,tc_HOL_Obool),tc_HOL_Obool)),tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool))),c_COMBB(tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),tc_HOL_Obool,tc_fun(A,tc_HOL_Obool))),c_fequal)),hAPP(hAPP(c_COMBS(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool),tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool))),c_Product__Type_OPair(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool))),c_COMBI(tc_fun(A,tc_HOL_Obool)))))))))=hAPP(c_Relation_ORange(A,A),c_Transitive__Closure_Ortrancl(A,B)).
% 12.04/12.32 Following clause subsumed by 11130 during input processing: 0 [copy,11815,flip.1] {-} hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),c_Complete__Lattice_OInf__class_OInf(tc_fun(A,tc_HOL_Obool),hAPP(c_Relation_ORange(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),hAPP(c_Relation_ODomain(tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),tc_fun(A,tc_HOL_Obool)),hAPP(c_Product__Type_Ointernal__split(tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),tc_fun(A,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),tc_fun(tc_fun(A,tc_HOL_Obool),tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool))),tc_fun(tc_fun(A,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),tc_HOL_Obool),tc_fun(tc_fun(tc_fun(A,tc_HOL_Obool),tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool))),tc_fun(tc_fun(A,tc_HOL_Obool),tc_HOL_Obool)),tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool))),c_COMBB(tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),tc_HOL_Obool,tc_fun(A,tc_HOL_Obool))),c_fequal)),hAPP(hAPP(c_COMBS(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool),tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool))),c_Product__Type_OPair(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool))),c_COMBI(tc_fun(A,tc_HOL_Obool)))))))))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(B,tc_fun(A,tc_HOL_Obool)),c_Complete__Lattice_OInf__class_OInf(tc_fun(B,tc_HOL_Obool),hAPP(c_Relation_ORange(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool)),hAPP(c_Relation_ODomain(tc_prod(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool)),tc_fun(B,tc_HOL_Obool)),hAPP(c_Product__Type_Ointernal__split(tc_prod(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool)),tc_fun(B,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_prod(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool)),tc_fun(tc_fun(B,tc_HOL_Obool),tc_prod(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool))),tc_fun(tc_fun(B,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool)),tc_HOL_Obool),tc_fun(tc_fun(tc_fun(B,tc_HOL_Obool),tc_prod(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool))),tc_fun(tc_fun(B,tc_HOL_Obool),tc_HOL_Obool)),tc_prod(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool))),c_COMBB(tc_prod(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool)),tc_HOL_Obool,tc_fun(B,tc_HOL_Obool))),c_fequal)),hAPP(hAPP(c_COMBS(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool),tc_prod(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool))),c_Product__Type_OPair(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool))),c_COMBI(tc_fun(B,tc_HOL_Obool))))))))),C).
% 12.04/12.32 Following clause subsumed by 12135 during input processing: 0 [copy,11816,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).
% 12.04/12.32 Following clause subsumed by 11134 during input processing: 0 [copy,11817,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)).
% 12.04/12.32 Following clause subsumed by 11819 during input processing: 0 [copy,11818,flip.1] {-} hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),hAPP(c_fequal,B)))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(C,tc_fun(A,tc_HOL_Obool)),D),E))))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(C,tc_fun(A,tc_HOL_Obool)),D),hAPP(hAPP(c_COMBB(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool),C),hAPP(c_Set_Oinsert(A),B)),E)).
% 12.04/12.32 Following clause subsumed by 11818 during input processing: 0 [copy,11819,flip.1] {-} hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,tc_fun(B,tc_HOL_Obool)),C),hAPP(hAPP(c_COMBB(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool),A),hAPP(c_Set_Oinsert(B),D)),E))=hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,B),c_fNot),hAPP(c_Relation_OImage(B,B,c_Relation_OId__on(B,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,B),c_fNot),hAPP(c_fequal,D)))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,B),c_fNot),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,tc_fun(B,tc_HOL_Obool)),C),E)))).
% 12.04/12.32 Following clause subsumed by 11147 during input processing: 0 [copy,11820,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)).
% 12.04/12.32 Following clause subsumed by 11154 during input processing: 0 [copy,11821,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).
% 12.04/12.32 Following clause subsumed by 11170 during input processing: 0 [copy,11822,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)).
% 12.04/12.33 Following clause subsumed by 11870 during input processing: 0 [copy,11835,flip.1] {-} c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),A),c_Int_OMin),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B),hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_Odivmod__int(c_Int_OMin,c_Int_OMin))))=c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Int_Oint,A,B).
% 12.04/12.33 Following clause subsumed by 11869 during input processing: 0 [copy,11836,flip.1] {-} c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,A,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B),hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_Odivmod__int(c_Int_OMin,c_Int_OMin))))=hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint,A),B).
% 12.04/12.33 Following clause subsumed by 12132 during input processing: 0 [copy,11839,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)).
% 12.04/12.33 Following clause subsumed by 11215 during input processing: 0 [copy,11843,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)).
% 12.04/12.33 Following clause subsumed by 11310 during input processing: 0 [copy,11846,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),hAPP(c_fequal,c_List_Olist_ONil(A)))),C)))),c_List_Otranspose(A,hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(A)),D),c_List_Oconcat(tc_List_Olist(A),hAPP(hAPP(c_List_Omap(tc_List_Olist(A),tc_List_Olist(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)).
% 12.04/12.33 Following clause subsumed by 11836 during input processing: 0 [copy,11869,flip.1] {-} hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint,A),B)=c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,A,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B),hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_Odivmod__int(c_Int_OMin,c_Int_OMin)))).
% 12.04/12.33 Following clause subsumed by 11835 during input processing: 0 [copy,11870,flip.1] {-} c_SetInterval_Oord__class_OgreaterThanLessThan(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),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B),hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_Odivmod__int(c_Int_OMin,c_Int_OMin)))).
% 12.04/12.33 Following clause subsumed by 11480 during input processing: 0 [copy,11874,flip.1] {-} c_Nitpick_Onumber__of__frac(A,B)=c_Nitpick_OAbs__Frac(A,hAPP(c_Divides_OnegateSnd,hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),B),c_Int_OMin))).
% 12.04/12.34 Following clause subsumed by 11467 during input processing: 0 [copy,11876,flip.1] {-} c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B),B))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OPls),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OMin),hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_Odivmod__int(c_Int_OMin,c_Int_OMin))))),c_Divides_Odiv__class_Omod(tc_Int_Oint,A,B)).
% 12.04/12.34 Following clause subsumed by 11462 during input processing: 0 [copy,11879,flip.1] {-} hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_Odivmod__int(c_Int_OMin,c_Int_OMin))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),A))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B),B))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_Odivmod__int(c_Int_OMin,c_Int_OMin))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),A),B)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),A),B))).
% 12.04/12.34 Following clause subsumed by 11461 during input processing: 0 [copy,11880,flip.1] {-} hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_Odivmod__int(c_Int_OMin,c_Int_OMin))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),A))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_Odivmod__int(c_Int_OMin,c_Int_OMin))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B),B)))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),A),B)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),A),B)).
% 12.04/12.34 Following clause subsumed by 11460 during input processing: 0 [copy,11881,flip.1] {-} hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_Odivmod__int(c_Int_OMin,c_Int_OMin))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B),B))))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_Odivmod__int(c_Int_OMin,c_Int_OMin))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),B)))).
% 12.04/12.34 Following clause subsumed by 11459 during input processing: 0 [copy,11882,flip.1] {-} hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_Odivmod__int(c_Int_OMin,c_Int_OMin))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B),B))))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_Odivmod__int(c_Int_OMin,c_Int_OMin))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),B)))).
% 12.04/12.34 Following clause subsumed by 11465 during input processing: 0 [copy,12064,flip.1] {-} hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),A)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_Odivmod__int(c_Int_OMin,c_Int_OMin))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B),B)))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_Odivmod__int(c_Int_OMin,c_Int_OMin))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),A),hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_Odivmod__int(c_Int_OMin,c_Int_OMin)))),B)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),A),hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_Odivmod__int(c_Int_OMin,c_Int_OMin)))),B))).
% 12.04/12.34 Following clause subsumed by 11466 during input processing: 0 [copy,12065,flip.1] {-} hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_Odivmod__int(c_Int_OMin,c_Int_OMin))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_Odivmod__int(c_Int_OMin,c_Int_OMin))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B),B)))))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B),c_Int_OMin)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B),c_Int_OMin)))).
% 12.04/12.34 Following clause subsumed by 11468 during input processing: 0 [copy,12066,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_Int_OPls),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OMin),hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_Odivmod__int(c_Int_OMin,c_Int_OMin))))),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_Int_OPls),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OMin),hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_Odivmod__int(c_Int_OMin,c_Int_OMin))))),B)),C))).
% 12.04/12.34 Following clause subsumed by 11469 during input processing: 0 [copy,12067,flip.1] {-} hAPP(c_Nat_Onat_Onat__rec(A,B,C),hAPP(c_Int_Onat,D))=hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,A),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),D),hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_Odivmod__int(c_Int_OMin,c_Int_OMin)))),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)))).
% 12.12/12.35 Following clause subsumed by 11470 during input processing: 0 [copy,12068,flip.1] {-} hAPP(c_Nat_Onat_Onat__rec(A,B,C),c_Int_Onat__aux(D,E))=hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,A),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),D),hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_Odivmod__int(c_Int_OMin,c_Int_OMin)))),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))))).
% 12.12/12.35 Following clause subsumed by 11471 during input processing: 0 [copy,12069,flip.1] {-} c_Divides_Oadjust(A)=hAPP(c_Product__Type_Ointernal__split(tc_Int_Oint,tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_fun(tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_Int_Oint),c_COMBS(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_fun(tc_Int_Oint,tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_Int_Oint),hAPP(c_COMBS(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_Int_Oint),c_If(tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_HOL_Obool,tc_Int_Oint),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls)),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),c_Groups_Ominus__class_Ominus(tc_Int_Oint)),A))))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_fun(tc_fun(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_Int_Oint),c_COMBB(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint),tc_Int_Oint)),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_Int_Oint),c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_Int_Oint),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint)),hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OPls),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OMin),hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_Odivmod__int(c_Int_OMin,c_Int_OMin))))))),hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_Odivmod__int(c_Int_OMin,c_Int_OMin)))))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),c_Groups_Ominus__class_Ominus(tc_Int_Oint)),A))))),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_Int_Oint),c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint)),hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OPls),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OMin),hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_Odivmod__int(c_Int_OMin,c_Int_OMin)))))))).
% 12.12/12.35 Following clause subsumed by 11542 during input processing: 0 [copy,12075,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)).
% 12.12/12.35 Following clause subsumed by 11546 during input processing: 0 [copy,12076,flip.1] {-} hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OPls),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OMin),hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_Odivmod__int(c_Int_OMin,c_Int_OMin))))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_Int_Oint,tc_Nat_Onat),hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_Int_Oint),tc_Nat_Onat),c_Groups_Otimes__class_Otimes(tc_Int_Oint)),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint))),B))),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(c_Int_Onat,c_Int_OPls)),C)))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),C)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Nat__Transfer_Otsub(hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),C),hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_Odivmod__int(c_Int_OMin,c_Int_OMin)))),B)))).
% 12.12/12.35 Following clause subsumed by 11548 during input processing: 0 [copy,12077,flip.1] {-} c_Map_Orestrict__map(A,B,C,hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),hAPP(c_fequal,D)))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),c_Complete__Lattice_OInf__class_OInf(tc_fun(A,tc_HOL_Obool),hAPP(c_Relation_ORange(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),hAPP(c_Relation_ODomain(tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),tc_fun(A,tc_HOL_Obool)),hAPP(c_Product__Type_Ointernal__split(tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),tc_fun(A,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),tc_fun(tc_fun(A,tc_HOL_Obool),tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool))),tc_fun(tc_fun(A,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),tc_HOL_Obool),tc_fun(tc_fun(tc_fun(A,tc_HOL_Obool),tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool))),tc_fun(tc_fun(A,tc_HOL_Obool),tc_HOL_Obool)),tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool))),c_COMBB(tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),tc_HOL_Obool,tc_fun(A,tc_HOL_Obool))),c_fequal)),hAPP(hAPP(c_COMBS(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool),tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool))),c_Product__Type_OPair(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool))),c_COMBI(tc_fun(A,tc_HOL_Obool)))))))))))=hAPP(hAPP(hAPP(c_Fun_Ofun__upd(A,tc_Option_Ooption(B)),C),D),c_Option_Ooption_ONone(B)).
% 12.12/12.35 Following clause subsumed by 11552 during input processing: 0 [copy,12078,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)).
% 12.12/12.36 Following clause subsumed by 11556 during input processing: 0 [copy,12079,flip.1] {-} c_Map_Odom(A,B,hAPP(hAPP(c_COMBB(B,tc_Option_Ooption(B),A),c_Option_Ooption_OSome(B)),C))=hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),c_Complete__Lattice_OInf__class_OInf(tc_fun(A,tc_HOL_Obool),hAPP(c_Relation_ORange(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),hAPP(c_Relation_ODomain(tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),tc_fun(A,tc_HOL_Obool)),hAPP(c_Product__Type_Ointernal__split(tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),tc_fun(A,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),tc_fun(tc_fun(A,tc_HOL_Obool),tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool))),tc_fun(tc_fun(A,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),tc_HOL_Obool),tc_fun(tc_fun(tc_fun(A,tc_HOL_Obool),tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool))),tc_fun(tc_fun(A,tc_HOL_Obool),tc_HOL_Obool)),tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool))),c_COMBB(tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),tc_HOL_Obool,tc_fun(A,tc_HOL_Obool))),c_fequal)),hAPP(hAPP(c_COMBS(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool),tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool))),c_Product__Type_OPair(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool))),c_COMBI(tc_fun(A,tc_HOL_Obool))))))))).
% 12.12/12.36 Following clause subsumed by 11562 during input processing: 0 [copy,12080,flip.1] {-} hAPP(c_Set_Ovimage(A,B,C),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,B),c_fNot),c_Complete__Lattice_OInf__class_OInf(tc_fun(B,tc_HOL_Obool),hAPP(c_Relation_ORange(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool)),hAPP(c_Relation_ODomain(tc_prod(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool)),tc_fun(B,tc_HOL_Obool)),hAPP(c_Product__Type_Ointernal__split(tc_prod(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool)),tc_fun(B,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_prod(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool)),tc_fun(tc_fun(B,tc_HOL_Obool),tc_prod(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool))),tc_fun(tc_fun(B,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool)),tc_HOL_Obool),tc_fun(tc_fun(tc_fun(B,tc_HOL_Obool),tc_prod(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool))),tc_fun(tc_fun(B,tc_HOL_Obool),tc_HOL_Obool)),tc_prod(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool))),c_COMBB(tc_prod(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool)),tc_HOL_Obool,tc_fun(B,tc_HOL_Obool))),c_fequal)),hAPP(hAPP(c_COMBS(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool),tc_prod(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool))),c_Product__Type_OPair(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool))),c_COMBI(tc_fun(B,tc_HOL_Obool))))))))))=hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),c_Complete__Lattice_OInf__class_OInf(tc_fun(A,tc_HOL_Obool),hAPP(c_Relation_ORange(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),hAPP(c_Relation_ODomain(tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),tc_fun(A,tc_HOL_Obool)),hAPP(c_Product__Type_Ointernal__split(tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),tc_fun(A,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),tc_fun(tc_fun(A,tc_HOL_Obool),tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool))),tc_fun(tc_fun(A,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),tc_HOL_Obool),tc_fun(tc_fun(tc_fun(A,tc_HOL_Obool),tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool))),tc_fun(tc_fun(A,tc_HOL_Obool),tc_HOL_Obool)),tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool))),c_COMBB(tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),tc_HOL_Obool,tc_fun(A,tc_HOL_Obool))),c_fequal)),hAPP(hAPP(c_COMBS(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool),tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool))),c_Product__Type_OPair(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool))),c_COMBI(tc_fun(A,tc_HOL_Obool))))))))).
% 12.12/12.36 Following clause subsumed by 11563 during input processing: 0 [copy,12081,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(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),c_Complete__Lattice_OInf__class_OInf(tc_fun(A,tc_HOL_Obool),hAPP(c_Relation_ORange(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),hAPP(c_Relation_ODomain(tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),tc_fun(A,tc_HOL_Obool)),hAPP(c_Product__Type_Ointernal__split(tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),tc_fun(A,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),tc_fun(tc_fun(A,tc_HOL_Obool),tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool))),tc_fun(tc_fun(A,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),tc_HOL_Obool),tc_fun(tc_fun(tc_fun(A,tc_HOL_Obool),tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool))),tc_fun(tc_fun(A,tc_HOL_Obool),tc_HOL_Obool)),tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool))),c_COMBB(tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),tc_HOL_Obool,tc_fun(A,tc_HOL_Obool))),c_fequal)),hAPP(hAPP(c_COMBS(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool),tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool))),c_Product__Type_OPair(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool))),c_COMBI(tc_fun(A,tc_HOL_Obool))))))))))).
% 12.12/12.36 Following clause subsumed by 12101 during input processing: 0 [copy,12094,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)).
% 12.12/12.36 Following clause subsumed by 12094 during input processing: 0 [copy,12101,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)).
% 12.12/12.36 Following clause subsumed by 11577 during input processing: 0 [copy,12126,flip.1] {-} c_HOL_OThe(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).
% 12.12/12.36 Following clause subsumed by 11778 during input processing: 0 [copy,12127,flip.1] {-} hAPP(hAPP(c_COMBS(A,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),A),c_fdisj),hAPP(B,C))),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(D,tc_fun(A,tc_HOL_Obool)),E),B))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(D,tc_fun(A,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,D),c_fNot),hAPP(c_Relation_OImage(D,D,c_Relation_OId__on(D,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,D),c_fNot),hAPP(c_fequal,C)))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,D),c_fNot),E)))),B).
% 12.12/12.36 Following clause subsumed by 11779 during input processing: 0 [copy,12128,flip.1] {-} hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),hAPP(c_fequal,hAPP(B,C))))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),hAPP(c_Set_Oimage(D,A,B),E))))=hAPP(c_Set_Oimage(D,A,B),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,D),c_fNot),hAPP(c_Relation_OImage(D,D,c_Relation_OId__on(D,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,D),c_fNot),hAPP(c_fequal,C)))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,D),c_fNot),E)))).
% 12.12/12.36 Following clause subsumed by 11839 during input processing: 0 [copy,12132,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)))).
% 12.13/12.37 Following clause subsumed by 11816 during input processing: 0 [copy,12135,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)).
% 12.13/12.37 Following clause subsumed by 11777 during input processing: 0 [copy,12196,flip.1] {-} 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_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_Odivmod__int(c_Int_OMin,c_Int_OMin))),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),A))))=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)))).
% 12.13/12.37 Following clause subsumed by 11812 during input processing: 0 [copy,12199,flip.1] {-} c_Transitive__Closure_Otrancl(A,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(A,A)),c_fNot),hAPP(c_Relation_OImage(tc_prod(A,A),tc_prod(A,A),c_Relation_OId__on(tc_prod(A,A),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(A,A)),c_fNot),hAPP(c_fequal,hAPP(hAPP(c_Product__Type_OPair(A,A),B),C))))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(A,A)),c_fNot),D))))=hAPP(hAPP(c_COMBS(tc_prod(A,A),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_prod(A,A)),c_fdisj),c_Transitive__Closure_Otrancl(A,D))),c_Nitpick_Oprod(A,A,hAPP(c_Set_Ovimage(A,tc_prod(A,A),hAPP(hAPP(c_COMBC(A,A,tc_prod(A,A)),c_Product__Type_OPair(A,A)),B)),c_Transitive__Closure_Ortrancl(A,D)),hAPP(c_Set_Ovimage(A,tc_prod(A,A),hAPP(c_Product__Type_OPair(A,A),C)),c_Transitive__Closure_Ortrancl(A,D)))).
% 12.13/12.37 Following clause subsumed by 11840 during input processing: 0 [copy,12200,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_Ointernal__split(tc_prod(A,B),tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_prod(A,B),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_prod(A,B)),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_prod(A,B)),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),hAPP(hAPP(c_COMBC(tc_prod(A,B),tc_fun(tc_Nat_Onat,tc_prod(A,B)),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(A,B),tc_HOL_Obool),tc_fun(tc_fun(tc_Nat_Onat,tc_prod(A,B)),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_prod(A,B)),c_COMBB(tc_prod(A,B),tc_HOL_Obool,tc_Nat_Onat)),c_fequal)),hAPP(hAPP(c_COMBS(tc_Nat_Onat,B,tc_prod(A,B)),hAPP(hAPP(c_COMBB(A,tc_fun(B,tc_prod(A,B)),tc_Nat_Onat),c_Product__Type_OPair(A,B)),hAPP(c_List_Onth(A),C))),hAPP(c_List_Onth(B),D)))))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(A)),c_List_Osublist(A,C,hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(c_Int_Onat,c_Int_OPls)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(B)),D)))))))).
% 12.13/12.37 Following clause subsumed by 11844 during input processing: 0 [copy,12201,flip.1] {-} c_List_Oset__Cons(A,B,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_List_Olist(A)),c_fNot),hAPP(c_Relation_OImage(tc_List_Olist(A),tc_List_Olist(A),c_Relation_OId__on(tc_List_Olist(A),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_List_Olist(A)),c_fNot),hAPP(c_fequal,c_List_Olist_ONil(A))))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_List_Olist(A)),c_fNot),c_Complete__Lattice_OInf__class_OInf(tc_fun(tc_List_Olist(A),tc_HOL_Obool),hAPP(c_Relation_ORange(tc_fun(tc_List_Olist(A),tc_HOL_Obool),tc_fun(tc_List_Olist(A),tc_HOL_Obool)),hAPP(c_Relation_ODomain(tc_prod(tc_fun(tc_List_Olist(A),tc_HOL_Obool),tc_fun(tc_List_Olist(A),tc_HOL_Obool)),tc_fun(tc_List_Olist(A),tc_HOL_Obool)),hAPP(c_Product__Type_Ointernal__split(tc_prod(tc_fun(tc_List_Olist(A),tc_HOL_Obool),tc_fun(tc_List_Olist(A),tc_HOL_Obool)),tc_fun(tc_List_Olist(A),tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_prod(tc_fun(tc_List_Olist(A),tc_HOL_Obool),tc_fun(tc_List_Olist(A),tc_HOL_Obool)),tc_fun(tc_fun(tc_List_Olist(A),tc_HOL_Obool),tc_prod(tc_fun(tc_List_Olist(A),tc_HOL_Obool),tc_fun(tc_List_Olist(A),tc_HOL_Obool))),tc_fun(tc_fun(tc_List_Olist(A),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_fun(tc_List_Olist(A),tc_HOL_Obool),tc_fun(tc_List_Olist(A),tc_HOL_Obool)),tc_HOL_Obool),tc_fun(tc_fun(tc_fun(tc_List_Olist(A),tc_HOL_Obool),tc_prod(tc_fun(tc_List_Olist(A),tc_HOL_Obool),tc_fun(tc_List_Olist(A),tc_HOL_Obool))),tc_fun(tc_fun(tc_List_Olist(A),tc_HOL_Obool),tc_HOL_Obool)),tc_prod(tc_fun(tc_List_Olist(A),tc_HOL_Obool),tc_fun(tc_List_Olist(A),tc_HOL_Obool))),c_COMBB(tc_prod(tc_fun(tc_List_Olist(A),tc_HOL_Obool),tc_fun(tc_List_Olist(A),tc_HOL_Obool)),tc_HOL_Obool,tc_fun(tc_List_Olist(A),tc_HOL_Obool))),c_fequal)),hAPP(hAPP(c_COMBS(tc_fun(tc_List_Olist(A),tc_HOL_Obool),tc_fun(tc_List_Olist(A),tc_HOL_Obool),tc_prod(tc_fun(tc_List_Olist(A),tc_HOL_Obool),tc_fun(tc_List_Olist(A),tc_HOL_Obool))),c_Product__Type_OPair(tc_fun(tc_List_Olist(A),tc_HOL_Obool),tc_fun(tc_List_Olist(A),tc_HOL_Obool))),c_COMBI(tc_fun(tc_List_Olist(A),tc_HOL_Obool))))))))))))=hAPP(c_Set_Oimage(A,tc_List_Olist(A),hAPP(hAPP(c_COMBC(A,tc_List_Olist(A),tc_List_Olist(A)),c_List_Olist_OCons(A)),c_List_Olist_ONil(A))),B).
% 12.13/12.37 Following clause subsumed by 11845 during input processing: 0 [copy,12202,flip.1] {-} hAPP(c_Relation_OImage(A,A,c_Relation_OId__on(A,hAPP(c_List_Oset(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),c_Complete__Lattice_OInf__class_OInf(tc_fun(A,tc_HOL_Obool),hAPP(c_Relation_ORange(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),hAPP(c_Relation_ODomain(tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),tc_fun(A,tc_HOL_Obool)),hAPP(c_Product__Type_Ointernal__split(tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),tc_fun(A,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),tc_fun(tc_fun(A,tc_HOL_Obool),tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool))),tc_fun(tc_fun(A,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),tc_HOL_Obool),tc_fun(tc_fun(tc_fun(A,tc_HOL_Obool),tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool))),tc_fun(tc_fun(A,tc_HOL_Obool),tc_HOL_Obool)),tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool))),c_COMBB(tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),tc_HOL_Obool,tc_fun(A,tc_HOL_Obool))),c_fequal)),hAPP(hAPP(c_COMBS(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool),tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool))),c_Product__Type_OPair(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool))),c_COMBI(tc_fun(A,tc_HOL_Obool)))))))))))=hAPP(c_List_Oset(A),hAPP(c_List_Ofilter(A,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,A),c_fNot),hAPP(c_fequal,C))),B)).
% 12.13/12.37 Following clause subsumed by 12070 during input processing: 0 [copy,12229,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))),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_Complete__Lattice_OInf__class_OInf(tc_fun(A,tc_HOL_Obool),hAPP(c_Relation_ORange(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),hAPP(c_Relation_ODomain(tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),tc_fun(A,tc_HOL_Obool)),hAPP(c_Product__Type_Ointernal__split(tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),tc_fun(A,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),tc_fun(tc_fun(A,tc_HOL_Obool),tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool))),tc_fun(tc_fun(A,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),tc_HOL_Obool),tc_fun(tc_fun(tc_fun(A,tc_HOL_Obool),tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool))),tc_fun(tc_fun(A,tc_HOL_Obool),tc_HOL_Obool)),tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool))),c_COMBB(tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),tc_HOL_Obool,tc_fun(A,tc_HOL_Obool))),c_fequal)),hAPP(hAPP(c_COMBS(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool),tc_prod(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool))),c_Product__Type_OPair(tc_fun(A,tc_HOL_Obool),tc_fun(A,tc_HOL_Obool))),c_COMBI(tc_fun(A,tc_HOL_Obool))))))))))))=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))).
% 12.13/12.38 Following clause subsumed by 12071 during input processing: 0 [copy,12230,flip.1] {-} hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Relation_OId__on(tc_prod(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_fequal,hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),A),B))))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),c_Complete__Lattice_OInf__class_OInf(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),hAPP(c_Relation_ORange(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(c_Relation_ODomain(tc_prod(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_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),hAPP(c_Product__Type_Ointernal__split(tc_prod(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_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_prod(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_prod(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_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(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_HOL_Obool),tc_fun(tc_fun(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_prod(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_HOL_Obool)),tc_prod(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))),c_COMBB(tc_prod(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_HOL_Obool,tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),c_fequal)),hAPP(hAPP(c_COMBS(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_prod(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))),c_Product__Type_OPair(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))),c_COMBI(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)))))))))))))=hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_Odivmod__int(hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Relation_OId__on(tc_prod(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_fequal,hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),B),A))))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),c_Complete__Lattice_OInf__class_OInf(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),hAPP(c_Relation_ORange(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(c_Relation_ODomain(tc_prod(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_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),hAPP(c_Product__Type_Ointernal__split(tc_prod(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_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_prod(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_prod(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_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(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_HOL_Obool),tc_fun(tc_fun(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_prod(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_HOL_Obool)),tc_prod(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))),c_COMBB(tc_prod(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_HOL_Obool,tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),c_fequal)),hAPP(hAPP(c_COMBS(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_prod(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))),c_Product__Type_OPair(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))),c_COMBI(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))))))))))))),c_Int_OMin)).
% 12.13/12.38 Following clause subsumed by 12072 during input processing: 0 [copy,12231,flip.1] {-} hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Relation_OId__on(tc_prod(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_fequal,hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),A),B)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),C),D)))))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),c_Complete__Lattice_OInf__class_OInf(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),hAPP(c_Relation_ORange(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(c_Relation_ODomain(tc_prod(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_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),hAPP(c_Product__Type_Ointernal__split(tc_prod(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_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_prod(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_prod(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_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(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_HOL_Obool),tc_fun(tc_fun(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_prod(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_HOL_Obool)),tc_prod(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))),c_COMBB(tc_prod(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_HOL_Obool,tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),c_fequal)),hAPP(hAPP(c_COMBS(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_prod(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))),c_Product__Type_OPair(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))),c_COMBI(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)))))))))))))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Relation_OId__on(tc_prod(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_fequal,hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),A),C))))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),c_Complete__Lattice_OInf__class_OInf(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),hAPP(c_Relation_ORange(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(c_Relation_ODomain(tc_prod(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_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),hAPP(c_Product__Type_Ointernal__split(tc_prod(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_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_prod(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_prod(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_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(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_HOL_Obool),tc_fun(tc_fun(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_prod(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_HOL_Obool)),tc_prod(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))),c_COMBB(tc_prod(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_HOL_Obool,tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),c_fequal)),hAPP(hAPP(c_COMBS(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_prod(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))),c_Product__Type_OPair(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))),c_COMBI(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)))))))))))))),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Relation_OId__on(tc_prod(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),hAPP(c_fequal,hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),B),D))))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_fNot),c_Complete__Lattice_OInf__class_OInf(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),hAPP(c_Relation_ORange(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(c_Relation_ODomain(tc_prod(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_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),hAPP(c_Product__Type_Ointernal__split(tc_prod(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_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_prod(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_prod(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_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(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_HOL_Obool),tc_fun(tc_fun(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_prod(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_HOL_Obool)),tc_prod(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))),c_COMBB(tc_prod(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_HOL_Obool,tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),c_fequal)),hAPP(hAPP(c_COMBS(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_prod(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))),c_Product__Type_OPair(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))),c_COMBI(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)))))))))))))).
% 12.13/12.38 Following clause subsumed by 12082 during input processing: 0 [copy,12232,flip.1] {-} c_Complete__Lattice_OInf__class_OInf(tc_fun(tc_prod(A,B),tc_HOL_Obool),hAPP(c_Relation_ORange(tc_fun(tc_prod(A,B),tc_HOL_Obool),tc_fun(tc_prod(A,B),tc_HOL_Obool)),hAPP(c_Relation_ODomain(tc_prod(tc_fun(tc_prod(A,B),tc_HOL_Obool),tc_fun(tc_prod(A,B),tc_HOL_Obool)),tc_fun(tc_prod(A,B),tc_HOL_Obool)),hAPP(c_Product__Type_Ointernal__split(tc_prod(tc_fun(tc_prod(A,B),tc_HOL_Obool),tc_fun(tc_prod(A,B),tc_HOL_Obool)),tc_fun(tc_prod(A,B),tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_prod(tc_fun(tc_prod(A,B),tc_HOL_Obool),tc_fun(tc_prod(A,B),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(A,B),tc_HOL_Obool),tc_prod(tc_fun(tc_prod(A,B),tc_HOL_Obool),tc_fun(tc_prod(A,B),tc_HOL_Obool))),tc_fun(tc_fun(tc_prod(A,B),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_fun(tc_prod(A,B),tc_HOL_Obool),tc_fun(tc_prod(A,B),tc_HOL_Obool)),tc_HOL_Obool),tc_fun(tc_fun(tc_fun(tc_prod(A,B),tc_HOL_Obool),tc_prod(tc_fun(tc_prod(A,B),tc_HOL_Obool),tc_fun(tc_prod(A,B),tc_HOL_Obool))),tc_fun(tc_fun(tc_prod(A,B),tc_HOL_Obool),tc_HOL_Obool)),tc_prod(tc_fun(tc_prod(A,B),tc_HOL_Obool),tc_fun(tc_prod(A,B),tc_HOL_Obool))),c_COMBB(tc_prod(tc_fun(tc_prod(A,B),tc_HOL_Obool),tc_fun(tc_prod(A,B),tc_HOL_Obool)),tc_HOL_Obool,tc_fun(tc_prod(A,B),tc_HOL_Obool))),c_fequal)),hAPP(hAPP(c_COMBS(tc_fun(tc_prod(A,B),tc_HOL_Obool),tc_fun(tc_prod(A,B),tc_HOL_Obool),tc_prod(tc_fun(tc_prod(A,B),tc_HOL_Obool),tc_fun(tc_prod(A,B),tc_HOL_Obool))),c_Product__Type_OPair(tc_fun(tc_prod(A,B),tc_HOL_Obool),tc_fun(tc_prod(A,B),tc_HOL_Obool))),c_COMBI(tc_fun(tc_prod(A,B),tc_HOL_Obool))))))))=c_Nitpick_Oprod(A,B,C,c_Complete__Lattice_OInf__class_OInf(tc_fun(B,tc_HOL_Obool),hAPP(c_Relation_ORange(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool)),hAPP(c_Relation_ODomain(tc_prod(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool)),tc_fun(B,tc_HOL_Obool)),hAPP(c_Product__Type_Ointernal__split(tc_prod(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool)),tc_fun(B,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_prod(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool)),tc_fun(tc_fun(B,tc_HOL_Obool),tc_prod(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool))),tc_fun(tc_fun(B,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool)),tc_HOL_Obool),tc_fun(tc_fun(tc_fun(B,tc_HOL_Obool),tc_prod(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool))),tc_fun(tc_fun(B,tc_HOL_Obool),tc_HOL_Obool)),tc_prod(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool))),c_COMBB(tc_prod(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool)),tc_HOL_Obool,tc_fun(B,tc_HOL_Obool))),c_fequal)),hAPP(hAPP(c_COMBS(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool),tc_prod(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool))),c_Product__Type_OPair(tc_fun(B,tc_HOL_Obool),tc_fun(B,tc_HOL_Obool))),c_COMBI(tc_fun(B,tc_HOL_Obool))))))))).
% 12.13/12.38 Following clause subsumed by 12089 during input processing: 0 [copy,12233,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).
% 12.13/12.38 Following clause subsumed by 12236 during input processing: 0 [copy,12235,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))).
% 12.13/12.38 Following clause subsumed by 12235 during input processing: 0 [copy,12236,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).
% 12.13/12.38
% 12.13/12.38 ======= end of input processing =======
% 12.13/12.40
% 12.13/12.40 SEGMENTATION FAULT!! This is probably caused by a
% 12.13/12.40 bug in Otter. Please send copy of the input file to
% 12.13/12.40 otter@mcs.anl.gov, let us know what version of Otter you are
% 12.13/12.40 using, and send any other info that might be useful.
% 12.13/12.40
% 12.13/12.40
% 12.13/12.40 SEGMENTATION FAULT!! This is probably caused by a
% 12.13/12.40 bug in Otter. Please send copy of the input file to
% 12.13/12.40 otter@mcs.anl.gov, let us know what version of Otter you are
% 12.13/12.40 using, and send any other info that might be useful.
% 12.13/12.40
% 12.13/12.40
% 12.13/12.40 The job finished Mon Jun 6 09:57:57 2022
%------------------------------------------------------------------------------