TSTP Solution File: SCT169+3 by SOS---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : SCT169+3 : TPTP v8.1.0. Released v5.3.0.
% 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 : Mon Jul 18 22:12:28 EDT 2022
% Result : Unknown 0.64s 0.86s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SCT169+3 : TPTP v8.1.0. Released v5.3.0.
% 0.06/0.12 % Command : sos-script %s
% 0.12/0.33 % Computer : n026.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sat Jul 2 01:03:35 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.44/0.67 ----- Otter 3.2, August 2001 -----
% 0.44/0.67 The process was started by sandbox on n026.cluster.edu,
% 0.44/0.67 Sat Jul 2 01:03:35 2022
% 0.44/0.67 The command was "./sos". The process ID is 19583.
% 0.44/0.67
% 0.44/0.67 set(prolog_style_variables).
% 0.44/0.67 set(auto).
% 0.44/0.67 dependent: set(auto1).
% 0.44/0.67 dependent: set(process_input).
% 0.44/0.67 dependent: clear(print_kept).
% 0.44/0.67 dependent: clear(print_new_demod).
% 0.44/0.67 dependent: clear(print_back_demod).
% 0.44/0.67 dependent: clear(print_back_sub).
% 0.44/0.67 dependent: set(control_memory).
% 0.44/0.67 dependent: assign(max_mem, 12000).
% 0.44/0.67 dependent: assign(pick_given_ratio, 4).
% 0.44/0.67 dependent: assign(stats_level, 1).
% 0.44/0.67 dependent: assign(pick_semantic_ratio, 3).
% 0.44/0.67 dependent: assign(sos_limit, 5000).
% 0.44/0.67 dependent: assign(max_weight, 60).
% 0.44/0.67 clear(print_given).
% 0.44/0.67
% 0.44/0.67 formula_list(usable).
% 0.44/0.67
% 0.44/0.67 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=1, max_lits=7.
% 0.44/0.67
% 0.44/0.67 This ia a non-Horn set with equality. The strategy will be
% 0.44/0.67 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.44/0.67 unit deletion, with positive clauses in sos and nonpositive
% 0.44/0.67 clauses in usable.
% 0.44/0.67
% 0.44/0.67 dependent: set(knuth_bendix).
% 0.44/0.67 dependent: set(para_from).
% 0.44/0.67 dependent: set(para_into).
% 0.44/0.67 dependent: clear(para_from_right).
% 0.44/0.67 dependent: clear(para_into_right).
% 0.44/0.67 dependent: set(para_from_vars).
% 0.44/0.67 dependent: set(eq_units_both_ways).
% 0.44/0.67 dependent: set(dynamic_demod_all).
% 0.44/0.67 dependent: set(dynamic_demod).
% 0.44/0.67 dependent: set(order_eq).
% 0.44/0.67 dependent: set(back_demod).
% 0.44/0.67 dependent: set(lrpo).
% 0.44/0.67 dependent: set(hyper_res).
% 0.44/0.67 dependent: set(unit_deletion).
% 0.44/0.67 dependent: set(factor).
% 0.44/0.67
% 0.44/0.67 There is a clause for symmetry of equality, so it is
% 0.44/0.67 assumed that equality is fully axiomatized; therefore,
% 0.44/0.67 paramodulation is disabled.
% 0.44/0.67
% 0.44/0.67 dependent: clear(para_from).
% 0.44/0.67 dependent: clear(para_into).
% 0.44/0.67
% 0.44/0.67 ------------> process usable:
% 0.44/0.67 Following clause subsumed by 4 during input processing: 0 [] {-} hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,A),B)!=nil_bool.
% 0.44/0.67 Following clause subsumed by 6 during input processing: 0 [] {-} hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,A),B)!=nil_Ar126264853le_alt.
% 0.44/0.67 Following clause subsumed by 8 during input processing: 0 [] {-} hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,A),B)!=nil_nat.
% 0.44/0.67 Following clause subsumed by 13 during input processing: 0 [] {-} hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,A),B)!=B.
% 0.44/0.67 Following clause subsumed by 15 during input processing: 0 [] {-} hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,A),B)!=B.
% 0.44/0.67 Following clause subsumed by 17 during input processing: 0 [] {-} hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,A),B)!=B.
% 0.44/0.67 Following clause subsumed by 52 during input processing: 0 [] {-} -hBOOL(hAPP_l1386638586t_bool(null_A361035805le_alt,A))|A=nil_Ar126264853le_alt.
% 0.44/0.67 Following clause subsumed by 51 during input processing: 0 [] {-} hBOOL(hAPP_l1386638586t_bool(null_A361035805le_alt,A))|A!=nil_Ar126264853le_alt.
% 0.44/0.67 Following clause subsumed by 54 during input processing: 0 [] {-} -hBOOL(hAPP_list_nat_bool(null_nat,A))|A=nil_nat.
% 0.44/0.67 Following clause subsumed by 53 during input processing: 0 [] {-} hBOOL(hAPP_list_nat_bool(null_nat,A))|A!=nil_nat.
% 0.44/0.67 Following clause subsumed by 70 during input processing: 0 [] {-} hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,A),B)!=C|D!=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,B),E)|hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,A),D)=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,C),E).
% 0.44/0.67 Following clause subsumed by 79 during input processing: 0 [] {-} hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,A),B)!=C|D!=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,B),E)|hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,A),D)=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,C),E).
% 0.44/0.67 Following clause subsumed by 88 during input processing: 0 [] {-} A!=nil_Ar126264853le_alt|hAPP_l1105242632le_alt(last_A57386030le_alt,hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,B),A))=hAPP_l1105242632le_alt(last_A57386030le_alt,B).
% 0.44/0.67 Following clause subsumed by 89 during input processing: 0 [] {-} A!=nil_nat|hAPP_list_nat_nat(last_nat,hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,B),A))=hAPP_list_nat_nat(last_nat,B).
% 0.44/0.67 Following clause subsumed by 97 during input processing: 0 [] {-} hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,A),B)!=nil_Ar126264853le_alt|A=nil_Ar126264853le_alt.
% 0.44/0.67 Following clause subsumed by 99 during input processing: 0 [] {-} hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,A),B)!=nil_Ar126264853le_alt|B=nil_Ar126264853le_alt.
% 0.44/0.67 Following clause subsumed by 101 during input processing: 0 [] {-} hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,A),B)=nil_Ar126264853le_alt|A!=nil_Ar126264853le_alt|B!=nil_Ar126264853le_alt.
% 0.44/0.67 Following clause subsumed by 103 during input processing: 0 [] {-} hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,A),B)!=nil_nat|A=nil_nat.
% 0.44/0.67 Following clause subsumed by 105 during input processing: 0 [] {-} hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,A),B)!=nil_nat|B=nil_nat.
% 0.44/0.67 Following clause subsumed by 107 during input processing: 0 [] {-} hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,A),B)=nil_nat|A!=nil_nat|B!=nil_nat.
% 0.44/0.67 Following clause subsumed by 109 during input processing: 0 [] {-} hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,A),B)!=A|B=nil_Ar126264853le_alt.
% 0.44/0.67 Following clause subsumed by 111 during input processing: 0 [] {-} hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,A),B)=A|B!=nil_Ar126264853le_alt.
% 0.44/0.67 Following clause subsumed by 113 during input processing: 0 [] {-} hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,A),B)!=A|B=nil_nat.
% 0.44/0.67 Following clause subsumed by 115 during input processing: 0 [] {-} hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,A),B)=A|B!=nil_nat.
% 0.44/0.67 Following clause subsumed by 117 during input processing: 0 [] {-} hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,A),B)!=B|A=nil_Ar126264853le_alt.
% 0.44/0.67 Following clause subsumed by 119 during input processing: 0 [] {-} hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,A),B)=B|A!=nil_Ar126264853le_alt.
% 0.44/0.67 Following clause subsumed by 121 during input processing: 0 [] {-} hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,A),B)!=B|A=nil_nat.
% 0.44/0.67 Following clause subsumed by 123 during input processing: 0 [] {-} hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,A),B)=B|A!=nil_nat.
% 0.44/0.67 Following clause subsumed by 93 during input processing: 0 [] {-} hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,A),B)=hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,C),D)|hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,A),E)!=C|B!=hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,E),D).
% 0.44/0.67 Following clause subsumed by 94 during input processing: 0 [] {-} hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,A),B)=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,C),D)|hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,A),E)!=C|B!=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,E),D).
% 0.44/0.67 Following clause subsumed by 95 during input processing: 0 [] {-} hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,A),B)=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,C),D)|hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,A),E)!=C|B!=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,E),D).
% 0.44/0.67 Following clause subsumed by 58 during input processing: 0 [] {-} -hBOOL(hAPP_list_bool_bool(last_bool,hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,A),B)))|B!=nil_bool|hBOOL(A).
% 0.44/0.67 Following clause subsumed by 59 during input processing: 0 [] {-} hBOOL(hAPP_list_bool_bool(last_bool,hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,A),B)))| -hBOOL(A)|B!=nil_bool.
% 0.44/0.67 Following clause subsumed by 60 during input processing: 0 [] {-} -is_Arr1861959080le_alt(A)|B!=nil_Ar126264853le_alt|hAPP_l1105242632le_alt(last_A57386030le_alt,hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,A),B))=A.
% 0.44/0.68 Following clause subsumed by 61 during input processing: 0 [] {-} A!=nil_nat|hAPP_list_nat_nat(last_nat,hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,B),A))=B.
% 0.44/0.68 Following clause subsumed by 199 during input processing: 0 [] {-} A=nil_bool| -hBOOL(hAPP_list_bool_bool(last_bool,hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,B),A)))|hBOOL(hAPP_list_bool_bool(last_bool,A)).
% 0.44/0.68 Following clause subsumed by 200 during input processing: 0 [] {-} A=nil_bool|hBOOL(hAPP_list_bool_bool(last_bool,hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,B),A)))| -hBOOL(hAPP_list_bool_bool(last_bool,A)).
% 0.44/0.68 Following clause subsumed by 239 during input processing: 0 [flip.1] {-} rev_Ar2093961333le_alt(A)!=nil_Ar126264853le_alt|A=nil_Ar126264853le_alt.
% 0.44/0.68 Following clause subsumed by 240 during input processing: 0 [flip.1] {-} rev_Ar2093961333le_alt(A)=nil_Ar126264853le_alt|A!=nil_Ar126264853le_alt.
% 0.44/0.68 Following clause subsumed by 241 during input processing: 0 [flip.1] {-} rev_nat(A)!=nil_nat|A=nil_nat.
% 0.44/0.68 Following clause subsumed by 242 during input processing: 0 [flip.1] {-} rev_nat(A)=nil_nat|A!=nil_nat.
% 0.44/0.68 Following clause subsumed by 235 during input processing: 0 [] {-} -hBOOL(hAPP_list_nat_bool(hAPP_l120351551t_bool(equal_equal_list_nat,A),B))|A=B.
% 0.44/0.68 Following clause subsumed by 236 during input processing: 0 [] {-} hBOOL(hAPP_list_nat_bool(hAPP_l120351551t_bool(equal_equal_list_nat,A),B))|A!=B.
% 0.44/0.68 Following clause subsumed by 237 during input processing: 0 [] {-} -hBOOL(hAPP_l1386638586t_bool(hAPP_l1747810175t_bool(equal_499625528le_alt,A),B))|A=B.
% 0.44/0.68 Following clause subsumed by 238 during input processing: 0 [] {-} hBOOL(hAPP_l1386638586t_bool(hAPP_l1747810175t_bool(equal_499625528le_alt,A),B))|A!=B.
% 0.44/0.68 Following clause subsumed by 452 during input processing: 0 [] {-} hAPP_A832564074le_alt(replic351609551le_alt(A),B)!=nil_Ar126264853le_alt|A=zero_zero_nat.
% 0.44/0.68 Following clause subsumed by 454 during input processing: 0 [] {-} hAPP_A832564074le_alt(replic351609551le_alt(A),B)=nil_Ar126264853le_alt|A!=zero_zero_nat.
% 0.44/0.68 Following clause subsumed by 456 during input processing: 0 [] {-} hAPP_nat_list_nat(replicate_nat(A),B)!=nil_nat|A=zero_zero_nat.
% 0.44/0.68 Following clause subsumed by 458 during input processing: 0 [] {-} hAPP_nat_list_nat(replicate_nat(A),B)=nil_nat|A!=zero_zero_nat.
% 0.44/0.68 Following clause subsumed by 527 during input processing: 0 [] {-} -hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,A),hAPP_l82377208t_bool(set_Ar1565008694le_alt,sublis888024346le_alt(B,C))))|hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,A),hAPP_l82377208t_bool(set_Ar1565008694le_alt,B))).
% 0.44/0.68 Following clause subsumed by 528 during input processing: 0 [] {-} -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A),hAPP_l1821533378t_bool(set_nat,sublist_nat(B,C))))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A),hAPP_l1821533378t_bool(set_nat,B))).
% 0.44/0.68 Following clause subsumed by 522 during input processing: 0 [] {-} -hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,A),hAPP_l82377208t_bool(set_Ar1565008694le_alt,B)))|hAPP_l726444215le_alt(hAPP_A408086601le_alt(insert960637483le_alt,A),B)=B.
% 0.44/0.68 Following clause subsumed by 523 during input processing: 0 [] {-} -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A),hAPP_l1821533378t_bool(set_nat,B)))|hAPP_l248265089st_nat(hAPP_n280362926st_nat(insert_nat,A),B)=B.
% 0.44/0.68 Following clause subsumed by 561 during input processing: 0 [] {-} -hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,A),hAPP_l82377208t_bool(set_Ar1565008694le_alt,B)))|hBOOL(hAPP_A862370221t_bool(hAPP_l82377208t_bool(member345038890le_alt,B),A)).
% 0.44/0.68 Following clause subsumed by 560 during input processing: 0 [] {-} hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,A),hAPP_l82377208t_bool(set_Ar1565008694le_alt,B)))| -hBOOL(hAPP_A862370221t_bool(hAPP_l82377208t_bool(member345038890le_alt,B),A)).
% 0.44/0.69 Following clause subsumed by 563 during input processing: 0 [] {-} -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A),hAPP_l1821533378t_bool(set_nat,B)))|hBOOL(hAPP_nat_bool(hAPP_l1821533378t_bool(member_nat_1,B),A)).
% 0.44/0.69 Following clause subsumed by 562 during input processing: 0 [] {-} hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A),hAPP_l1821533378t_bool(set_nat,B)))| -hBOOL(hAPP_nat_bool(hAPP_l1821533378t_bool(member_nat_1,B),A)).
% 0.44/0.69 Following clause subsumed by 596 during input processing: 0 [] {-} -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A),hAPP_l1821533378t_bool(set_nat,hAPP_nat_list_nat(replicate_nat(B),C))))| -hBOOL(hAPP_nat_bool(D,A))|B!=zero_zero_nat.
% 0.44/0.69 Following clause subsumed by 596 during input processing: 0 [] {-} -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A),hAPP_l1821533378t_bool(set_nat,hAPP_nat_list_nat(replicate_nat(B),C))))|hBOOL(hAPP_nat_bool(D,A))|B!=zero_zero_nat.
% 0.44/0.69 Following clause subsumed by 632 during input processing: 0 [] {-} hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,A),hAPP_l96088310l_bool(set_bool,B)))|B!=hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,C),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,A),D))|hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,A),hAPP_l96088310l_bool(set_bool,D))).
% 0.44/0.69 Following clause subsumed by 635 during input processing: 0 [] {-} hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,A),hAPP_l82377208t_bool(set_Ar1565008694le_alt,B)))|B!=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,C),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,A),D))|hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,A),hAPP_l82377208t_bool(set_Ar1565008694le_alt,D))).
% 0.44/0.69 Following clause subsumed by 638 during input processing: 0 [] {-} hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A),hAPP_l1821533378t_bool(set_nat,B)))|B!=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,C),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,A),D))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A),hAPP_l1821533378t_bool(set_nat,D))).
% 0.44/0.69 Following clause subsumed by 632 during input processing: 0 [] {-} hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,A),hAPP_l96088310l_bool(set_bool,B)))|B!=hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,C),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,A),D))|hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,A),hAPP_l96088310l_bool(set_bool,C))).
% 0.44/0.69 Following clause subsumed by 635 during input processing: 0 [] {-} hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,A),hAPP_l82377208t_bool(set_Ar1565008694le_alt,B)))|B!=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,C),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,A),D))|hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,A),hAPP_l82377208t_bool(set_Ar1565008694le_alt,C))).
% 0.44/0.69 Following clause subsumed by 638 during input processing: 0 [] {-} hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A),hAPP_l1821533378t_bool(set_nat,B)))|B!=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,C),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,A),D))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A),hAPP_l1821533378t_bool(set_nat,C))).
% 0.44/0.69 Following clause subsumed by 808 during input processing: 0 [flip.1] {-} hAPP_nat_nat(suc,A)!=zero_zero_nat.
% 0.44/0.69 Following clause subsumed by 808 during input processing: 0 [] {-} hAPP_nat_nat(suc,A)!=zero_zero_nat.
% 0.44/0.69 Following clause subsumed by 808 during input processing: 0 [] {-} hAPP_nat_nat(suc,A)!=zero_zero_nat.
% 0.44/0.69 Following clause subsumed by 808 during input processing: 0 [flip.1] {-} hAPP_nat_nat(suc,A)!=zero_zero_nat.
% 0.44/0.69 Following clause subsumed by 808 during input processing: 0 [flip.1] {-} hAPP_nat_nat(suc,A)!=zero_zero_nat.
% 0.44/0.69 Following clause subsumed by 817 during input processing: 0 [] {-} hAPP_nat_nat(suc,A)!=A.
% 0.44/0.69 Following clause subsumed by 818 during input processing: 0 [] {-} hAPP_nat_nat(suc,A)!=hAPP_nat_nat(suc,B)|A=B.
% 0.44/0.69 Following clause subsumed by 952 during input processing: 0 [] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),B)!=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),C)|B=C.
% 0.44/0.69 Following clause subsumed by 951 during input processing: 0 [] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),B)!=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C),B)|A=C.
% 0.44/0.69 Following clause subsumed by 952 during input processing: 0 [] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),B)!=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),C)|B=C.
% 0.44/0.69 Following clause subsumed by 951 during input processing: 0 [] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),B)!=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C),B)|A=C.
% 0.44/0.69 Following clause subsumed by 953 during input processing: 0 [] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),B)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C),B)|A!=C.
% 0.44/0.69 Following clause subsumed by 952 during input processing: 0 [] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),B)!=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),C)|B=C.
% 0.44/0.69 Following clause subsumed by 954 during input processing: 0 [] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),B)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),C)|B!=C.
% 0.44/0.69 Following clause subsumed by 960 during input processing: 0 [] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),B)!=hAPP_nat_nat(suc,zero_zero_nat)|A=hAPP_nat_nat(suc,zero_zero_nat)|A=zero_zero_nat.
% 0.44/0.69 Following clause subsumed by 962 during input processing: 0 [] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),B)!=hAPP_nat_nat(suc,zero_zero_nat)|A=hAPP_nat_nat(suc,zero_zero_nat)|B=hAPP_nat_nat(suc,zero_zero_nat).
% 0.44/0.69 Following clause subsumed by 964 during input processing: 0 [] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),B)!=hAPP_nat_nat(suc,zero_zero_nat)|B=zero_zero_nat|A=zero_zero_nat.
% 0.44/0.69 Following clause subsumed by 966 during input processing: 0 [] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),B)!=hAPP_nat_nat(suc,zero_zero_nat)|B=zero_zero_nat|B=hAPP_nat_nat(suc,zero_zero_nat).
% 0.44/0.69 Following clause subsumed by 968 during input processing: 0 [] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),B)=hAPP_nat_nat(suc,zero_zero_nat)|A!=hAPP_nat_nat(suc,zero_zero_nat)|B!=zero_zero_nat.
% 0.44/0.69 Following clause subsumed by 970 during input processing: 0 [] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),B)=hAPP_nat_nat(suc,zero_zero_nat)|A!=zero_zero_nat|B!=hAPP_nat_nat(suc,zero_zero_nat).
% 0.44/0.69 Following clause subsumed by 955 during input processing: 0 [flip.1] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),B)!=A|B=zero_zero_nat.
% 0.44/0.69 Following clause subsumed by 998 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),C)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B),C))).
% 0.44/0.69 Following clause subsumed by 1000 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C),A)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C),B))).
% 0.44/0.69 Following clause subsumed by 997 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),B)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C),B)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),C)).
% 0.44/0.69 Following clause subsumed by 999 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),B)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),C)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,B),C)).
% 0.44/0.69 Following clause subsumed by 994 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),zero_zero_nat))|A!=zero_zero_nat.
% 0.44/0.69 Following clause subsumed by 994 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),hAPP_nat_nat(suc,B)))|A!=hAPP_nat_nat(suc,B).
% 0.44/0.69 Following clause subsumed by 1006 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),hAPP_nat_nat(suc,B))).
% 0.44/0.69 Following clause subsumed by 1005 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),hAPP_nat_nat(suc,B)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B))|A=hAPP_nat_nat(suc,B).
% 0.44/0.69 Following clause subsumed by 999 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),B)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),C)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,B),C)).
% 0.44/0.69 Following clause subsumed by 1000 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),B)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),C)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,B),C)).
% 0.44/0.69 Following clause subsumed by 998 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),C)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B),C))).
% 0.44/0.69 Following clause subsumed by 1001 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,C),D))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),C)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B),D))).
% 0.44/0.69 Following clause subsumed by 1016 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),B)),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),C)).
% 0.44/0.69 Following clause subsumed by 1015 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),B)),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,B),C)).
% 0.44/0.69 Following clause subsumed by 1013 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),A))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,B),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,B),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C),A))).
% 0.44/0.69 Following clause subsumed by 1014 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),A))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,B),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,B),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),C))).
% 0.44/0.69 Following clause subsumed by 956 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),A))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),B))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),B)!=zero_zero_nat|A=zero_zero_nat.
% 0.44/0.69 Following clause subsumed by 957 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),A))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),B))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),B)!=zero_zero_nat|B=zero_zero_nat.
% 0.44/0.69 Following clause subsumed by 958 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),A))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),B))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),B)=zero_zero_nat|A!=zero_zero_nat|B!=zero_zero_nat.
% 0.51/0.70 Following clause subsumed by 1013 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),A))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),B))).
% 0.51/0.70 Following clause subsumed by 1020 during input processing: 0 [] {-} hBOOL(hAPP_list_nat_bool(linorder_sorted_nat,hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,A),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,B),C))))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B))| -hBOOL(hAPP_list_nat_bool(linorder_sorted_nat,hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,B),C))).
% 0.51/0.70 Following clause subsumed by 994 during input processing: 0 [] {-} A!=B|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B)).
% 0.51/0.70 Following clause subsumed by 996 during input processing: 0 [] {-} A=B| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,B),A)).
% 0.51/0.70 Following clause subsumed by 994 during input processing: 0 [] {-} A!=B|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B)).
% 0.51/0.70 Following clause subsumed by 996 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,B),A))|B=A.
% 0.51/0.70 Following clause subsumed by 994 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,B),A))|B!=A.
% 0.51/0.70 Following clause subsumed by 996 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,B),A))|A=B.
% 0.51/0.70 Following clause subsumed by 995 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,B),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),C)).
% 0.51/0.70 Following clause subsumed by 996 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,B),A))|B=A.
% 0.51/0.70 Following clause subsumed by 995 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,C),A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,C),B)).
% 0.51/0.70 Following clause subsumed by 1013 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B),C))).
% 0.51/0.70 Following clause subsumed by 1014 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C),B))).
% 0.51/0.70 Following clause subsumed by 1062 during input processing: 0 [] {-} -hBOOL(hAPP_f2013399995l_bool(hAPP_f1721660479l_bool(ord_le893483153t_bool,A),B))| -hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,C),A))|hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,C),B)).
% 0.51/0.70 Following clause subsumed by 1063 during input processing: 0 [] {-} -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B))| -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C),A))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C),B)).
% 0.51/0.70 Following clause subsumed by 1062 during input processing: 0 [] {-} -hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,A),B))| -hBOOL(hAPP_f2013399995l_bool(hAPP_f1721660479l_bool(ord_le893483153t_bool,B),C))|hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,A),C)).
% 0.51/0.70 Following clause subsumed by 1063 during input processing: 0 [] {-} -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A),B))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B),C))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A),C)).
% 0.51/0.70 Following clause subsumed by 1062 during input processing: 0 [] {-} -hBOOL(hAPP_f2013399995l_bool(hAPP_f1721660479l_bool(ord_le893483153t_bool,A),B))| -hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,C),A))|hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,C),B)).
% 0.51/0.70 Following clause subsumed by 1063 during input processing: 0 [] {-} -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B))| -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C),A))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C),B)).
% 0.51/0.70 Following clause subsumed by 1064 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,A),B)),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),C)).
% 0.51/0.70 Following clause subsumed by 1065 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,A),B)),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,B),C)).
% 0.51/0.70 Following clause subsumed by 1058 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,B),C))).
% 0.51/0.70 Following clause subsumed by 1059 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,C),B))).
% 0.51/0.70 Following clause subsumed by 1067 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,A),B)=B.
% 0.51/0.70 Following clause subsumed by 1069 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,C),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,A),C)),B)).
% 0.51/0.70 Following clause subsumed by 1069 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,C),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,A),C)),B)).
% 0.51/0.70 Following clause subsumed by 1088 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,B),C))).
% 0.51/0.70 Following clause subsumed by 1085 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,B),C)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B)).
% 0.51/0.70 Following clause subsumed by 1086 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,B),C)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),C)).
% 0.51/0.70 Following clause subsumed by 1088 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,B),C)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),C)).
% 0.51/0.70 Following clause subsumed by 1090 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,A),B)=A.
% 0.51/0.70 Following clause subsumed by 1097 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,B),A)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,C),A)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,B),C)).
% 0.51/0.70 Following clause subsumed by 1092 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,A),B)),C))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),C)).
% 0.51/0.70 Following clause subsumed by 1091 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,A),B)),C))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,B),C)).
% 0.51/0.70 Following clause subsumed by 1109 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,A),B)=zero_zero_nat.
% 0.51/0.70 Following clause subsumed by 1120 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C),B)),A)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,B),A)).
% 0.51/0.70 Following clause subsumed by 1174 during input processing: 0 [] {-} -hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,A),hAPP_f2014742713t_bool(hAPP_f2012267069t_bool(minus_988785290t_bool,B),C)))|hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,A),B)).
% 0.51/0.70 Following clause subsumed by 1175 during input processing: 0 [] {-} -hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,A),hAPP_f2014742713t_bool(hAPP_f2012267069t_bool(minus_988785290t_bool,B),C)))| -hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,A),C)).
% 0.51/0.70 Following clause subsumed by 1172 during input processing: 0 [] {-} hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,A),hAPP_f2014742713t_bool(hAPP_f2012267069t_bool(minus_988785290t_bool,B),C)))| -hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,A),B))|hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,A),C)).
% 0.51/0.70 Following clause subsumed by 1176 during input processing: 0 [] {-} -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A),hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,B),C)))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A),B)).
% 0.51/0.70 Following clause subsumed by 1177 during input processing: 0 [] {-} -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A),hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,B),C)))| -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A),C)).
% 0.51/0.70 Following clause subsumed by 1173 during input processing: 0 [] {-} hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A),hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,B),C)))| -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A),B))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A),C)).
% 0.51/0.70 Following clause subsumed by 1174 during input processing: 0 [] {-} -hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,A),hAPP_f2014742713t_bool(hAPP_f2012267069t_bool(minus_988785290t_bool,B),C)))|hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,A),B)).
% 0.51/0.70 Following clause subsumed by 1176 during input processing: 0 [] {-} -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A),hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,B),C)))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A),B)).
% 0.51/0.70 Following clause subsumed by 1175 during input processing: 0 [] {-} -hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,A),hAPP_f2014742713t_bool(hAPP_f2012267069t_bool(minus_988785290t_bool,B),C)))| -hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,A),C)).
% 0.51/0.70 Following clause subsumed by 1177 during input processing: 0 [] {-} -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A),hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,B),C)))| -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A),C)).
% 0.51/0.70 Following clause subsumed by 1189 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,C),A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,C),B)).
% 0.51/0.70 Following clause subsumed by 1188 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,B),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),C)).
% 0.51/0.70 Following clause subsumed by 1191 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|A=B.
% 0.51/0.70 Following clause subsumed by 1191 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|A=B.
% 0.51/0.70 Following clause subsumed by 1193 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B)).
% 0.51/0.70 Following clause subsumed by 1190 during input processing: 0 [] {-} A=B| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,B),A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),A)).
% 0.51/0.70 Following clause subsumed by 1191 during input processing: 0 [] {-} A=B| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B)).
% 0.51/0.70 Following clause subsumed by 1191 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B))|A=B.
% 0.51/0.70 Following clause subsumed by 994 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B))|A!=B.
% 0.51/0.70 Following clause subsumed by 1191 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|A=B.
% 0.51/0.70 Following clause subsumed by 1193 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B)).
% 0.51/0.70 Following clause subsumed by 994 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B))|A!=B.
% 0.51/0.70 Following clause subsumed by 1193 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B)).
% 0.51/0.70 Following clause subsumed by 1194 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,B),A)).
% 0.51/0.70 Following clause subsumed by 1193 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B)).
% 0.51/0.70 Following clause subsumed by 1191 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B))|A=B.
% 0.51/0.70 Following clause subsumed by 1194 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),A)).
% 0.51/0.71 Following clause subsumed by 1194 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,B),A)).
% 0.51/0.71 Following clause subsumed by 1184 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),zero_zero_nat)).
% 0.51/0.71 Following clause subsumed by 1184 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),zero_zero_nat)).
% 0.51/0.71 Following clause subsumed by 1185 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,A)),hAPP_nat_nat(suc,B)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B)).
% 0.51/0.71 Following clause subsumed by 1202 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),hAPP_nat_nat(suc,B)))|A=B.
% 0.51/0.71 Following clause subsumed by 1204 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),hAPP_nat_nat(suc,B)))|A!=B.
% 0.51/0.71 Following clause subsumed by 1203 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),hAPP_nat_nat(suc,B))).
% 0.51/0.71 Following clause subsumed by 1202 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),hAPP_nat_nat(suc,B)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|A=B.
% 0.51/0.71 Following clause subsumed by 1205 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,A)),hAPP_nat_nat(suc,B)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B)).
% 0.51/0.71 Following clause subsumed by 1198 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B),C))).
% 0.51/0.71 Following clause subsumed by 1197 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C),B))).
% 0.51/0.71 Following clause subsumed by 1193 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B)).
% 0.51/0.71 Following clause subsumed by 1196 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|A!=B.
% 0.51/0.71 Following clause subsumed by 1191 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B))|A=B.
% 0.51/0.71 Following clause subsumed by 1191 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|A=B.
% 0.51/0.71 Following clause subsumed by 1193 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B)).
% 0.51/0.71 Following clause subsumed by 994 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B))|A!=B.
% 0.51/0.71 Following clause subsumed by 1193 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B)).
% 0.51/0.71 Following clause subsumed by 1191 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B))|A=B|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B)).
% 0.51/0.71 Following clause subsumed by 1193 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B)).
% 0.51/0.71 Following clause subsumed by 994 during input processing: 0 [] {-} A!=B|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B)).
% 0.51/0.71 Following clause subsumed by 1196 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|A!=B.
% 0.51/0.71 Following clause subsumed by 1196 during input processing: 0 [] {-} A!=B| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B)).
% 0.51/0.71 Following clause subsumed by 1224 during input processing: 0 [] {-} A!=B| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),A)).
% 0.51/0.71 Following clause subsumed by 1225 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),A)).
% 0.51/0.71 Following clause subsumed by 1214 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),B)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C),B)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),C)).
% 0.51/0.71 Following clause subsumed by 1212 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),B)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),C)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),C)).
% 0.51/0.71 Following clause subsumed by 1213 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),B)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),C)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),C)).
% 0.51/0.71 Following clause subsumed by 1214 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),C)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B),C))).
% 0.51/0.71 Following clause subsumed by 1213 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C),A)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C),B))).
% 0.51/0.71 Following clause subsumed by 1215 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,C),D))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),C)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B),D))).
% 0.51/0.71 Following clause subsumed by 1226 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),B)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C),B)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),C)).
% 0.51/0.71 Following clause subsumed by 1212 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),B)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),C)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),C)).
% 0.51/0.71 Following clause subsumed by 1228 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),C)).
% 0.51/0.71 Following clause subsumed by 1227 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),A)).
% 0.51/0.71 Following clause subsumed by 1227 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),A)).
% 0.51/0.71 Following clause subsumed by 1227 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),A))|hBOOL(C).
% 0.51/0.71 Following clause subsumed by 1224 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|B!=A.
% 0.51/0.71 Following clause subsumed by 1196 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|A!=B.
% 0.51/0.71 Following clause subsumed by 1227 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),A)).
% 0.51/0.71 Following clause subsumed by 1227 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),A)).
% 0.51/0.71 Following clause subsumed by 1196 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|A!=B.
% 0.51/0.71 Following clause subsumed by 1196 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),A))|B!=A.
% 0.51/0.71 Following clause subsumed by 1227 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),A)).
% 0.51/0.71 Following clause subsumed by 1196 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|A!=B.
% 0.51/0.71 Following clause subsumed by 1196 during input processing: 0 [] {-} A!=B| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B)).
% 0.51/0.71 Following clause subsumed by 1224 during input processing: 0 [] {-} A!=B| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),A)).
% 0.51/0.71 Following clause subsumed by 1225 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),A)).
% 0.51/0.71 Following clause subsumed by 1220 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,C),B))).
% 0.51/0.71 Following clause subsumed by 1219 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,B),C))).
% 0.51/0.71 Following clause subsumed by 1235 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,C),A)),B)).
% 0.51/0.71 Following clause subsumed by 1234 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,A),C)),B)).
% 0.51/0.71 Following clause subsumed by 1198 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),B))).
% 0.51/0.71 Following clause subsumed by 1184 during input processing: 0 [unit_del,1184,factor_simp] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),zero_zero_nat)).
% 0.51/0.71 Following clause subsumed by 1204 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),hAPP_nat_nat(suc,zero_zero_nat)))|A!=zero_zero_nat.
% 0.51/0.71 Following clause subsumed by 1198 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),B)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A)).
% 0.51/0.71 Following clause subsumed by 1197 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),B)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),B)).
% 0.51/0.71 Following clause subsumed by 1255 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,A)),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B)).
% 0.51/0.71 Following clause subsumed by 1254 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,A)),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B)).
% 0.51/0.71 Following clause subsumed by 1257 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),hAPP_nat_nat(suc,B))).
% 0.51/0.71 Following clause subsumed by 1254 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,A)),B)).
% 0.51/0.71 Following clause subsumed by 1204 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),hAPP_nat_nat(suc,A)))|B!=A.
% 0.51/0.71 Following clause subsumed by 1255 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,A)),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B)).
% 0.51/0.71 Following clause subsumed by 1264 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,B),A)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,C),A)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),C)).
% 0.51/0.71 Following clause subsumed by 1095 during input processing: 0 [] {-} A!=B|hAPP_list_nat_nat(size_size_list_nat,A)=hAPP_list_nat_nat(size_size_list_nat,B).
% 0.51/0.71 Following clause subsumed by 1184 during input processing: 0 [unit_del,1184] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),zero_zero_nat))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),zero_zero_nat)).
% 0.51/0.71 Following clause subsumed by 1184 during input processing: 0 [unit_del,1184] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),zero_zero_nat))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,B),zero_zero_nat)).
% 0.51/0.71 Following clause subsumed by 1197 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),A))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),C))).
% 0.51/0.71 Following clause subsumed by 1197 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),A))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),B))).
% 0.51/0.71 Following clause subsumed by 1198 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),B))).
% 0.51/0.71 Following clause subsumed by 1296 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(A,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,B),C)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),C))|hBOOL(hAPP_nat_bool(A,zero_zero_nat)).
% 0.51/0.71 Following clause subsumed by 1297 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(A,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,B),C)))|B!=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C),D)|hBOOL(hAPP_nat_bool(A,D)).
% 0.51/0.71 Following clause subsumed by 1334 during input processing: 0 [] {-} -hBOOL(hAPP_list_bool_bool(distinct_bool,A))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),hAPP_list_bool_nat(size_size_list_bool,A)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,C),hAPP_list_bool_nat(size_size_list_bool,A)))|hBOOL(hAPP_nat_bool(nth_bool(A),B))|hBOOL(hAPP_nat_bool(nth_bool(A),C))|B=C.
% 0.51/0.76 Following clause subsumed by 1335 during input processing: 0 [] {-} -hBOOL(hAPP_list_bool_bool(distinct_bool,A))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),hAPP_list_bool_nat(size_size_list_bool,A)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,C),hAPP_list_bool_nat(size_size_list_bool,A)))| -hBOOL(hAPP_nat_bool(nth_bool(A),B))| -hBOOL(hAPP_nat_bool(nth_bool(A),C))|B=C.
% 0.51/0.76 Following clause subsumed by 1339 during input processing: 0 [] {-} -hBOOL(hAPP_l1386638586t_bool(distin1223878664le_alt,A))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),hAPP_l1872264749lt_nat(size_s1873794948le_alt,A)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,C),hAPP_l1872264749lt_nat(size_s1873794948le_alt,A)))|hAPP_n401316912le_alt(nth_Ar1113433366le_alt(A),B)!=hAPP_n401316912le_alt(nth_Ar1113433366le_alt(A),C)|B=C.
% 0.51/0.76 Following clause subsumed by 1341 during input processing: 0 [] {-} -hBOOL(hAPP_list_nat_bool(distinct_nat,A))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),hAPP_list_nat_nat(size_size_list_nat,A)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,C),hAPP_list_nat_nat(size_size_list_nat,A)))|hAPP_nat_nat(nth_nat(A),B)!=hAPP_nat_nat(nth_nat(A),C)|B=C.
% 0.51/0.76 Following clause subsumed by 1369 during input processing: 0 [] {-} -hBOOL(hAPP_list_nat_bool(linorder_sorted_nat,A))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),hAPP_list_nat_nat(size_size_list_nat,A)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,C),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(nth_nat(A),C)),hAPP_nat_nat(nth_nat(A),B))).
% 0.51/0.76 Following clause subsumed by 1197 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),C))).
% 0.51/0.76 Following clause subsumed by 1479 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_list_nat_nat(size_size_list_nat,A)),B))|hAPP_l248265089st_nat(hAPP_n280362926st_nat(drop_nat,B),A)=nil_nat.
% 0.51/0.76 Following clause subsumed by 1481 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_l1872264749lt_nat(size_s1873794948le_alt,A)),B))|hAPP_l726444215le_alt(hAPP_n2139729636le_alt(drop_A186780501le_alt,B),A)=nil_Ar126264853le_alt.
% 0.51/0.76 Following clause subsumed by 1495 during input processing: 0 [flip.2] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,A),hAPP_nat_list_nat(upt(hAPP_nat_nat(suc,A)),B))=hAPP_nat_list_nat(upt(A),B).
% 0.51/0.76 Following clause subsumed by 1498 during input processing: 0 [] {-} hAPP_nat_list_nat(upt(A),B)=nil_nat| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,B),A)).
% 0.51/0.76 Following clause subsumed by 1501 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B))|hAPP_nat_list_nat(upt(A),hAPP_nat_nat(suc,B))=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,hAPP_nat_list_nat(upt(A),B)),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,B),nil_nat)).
% 0.51/0.76 Following clause subsumed by 1504 during input processing: 0 [] {-} -is_bool(A)|A=fTrue|A=fFalse.
% 0.51/0.76 Following clause subsumed by 1504 during input processing: 0 [] {-} -is_bool(A)|A=fTrue|A=fFalse.
% 0.51/0.76 Following clause subsumed by 1504 during input processing: 0 [] {-} -is_bool(A)|A=fTrue|A=fFalse.
% 0.51/0.76 Following clause subsumed by 1504 during input processing: 0 [] {-} -is_bool(A)|A=fTrue|A=fFalse.
% 0.51/0.76 855 back subsumes 851.
% 0.51/0.76 856 back subsumes 853.
% 0.51/0.76 1027 back subsumes 1022.
% 0.51/0.76 1196 back subsumes 1192.
% 0.51/0.76 1200 back subsumes 1199.
% 0.51/0.76
% 0.51/0.76 ------------> process sos:
% 0.51/0.76 Following clause subsumed by 1799 during input processing: 0 [] {-} A=nil_Ar126264853le_alt|hAPP_l1105242632le_alt(last_A57386030le_alt,hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,B),A))=hAPP_l1105242632le_alt(last_A57386030le_alt,A).
% 0.59/0.77 Following clause subsumed by 1800 during input processing: 0 [] {-} A=nil_nat|hAPP_list_nat_nat(last_nat,hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,B),A))=hAPP_list_nat_nat(last_nat,A).
% 0.59/0.77 Following clause subsumed by 1828 during input processing: 0 [] {-} A=nil_nat|hAPP_list_nat_nat(last_nat,hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,B),A))=hAPP_list_nat_nat(last_nat,A).
% 0.59/0.77 Following clause subsumed by 1847 during input processing: 0 [demod,1843] {-} nil_nat=nil_nat.
% 0.59/0.77 Following clause subsumed by 1851 during input processing: 0 [demod,1839] {-} nil_Ar126264853le_alt=nil_Ar126264853le_alt.
% 0.59/0.77 Following clause subsumed by 1878 during input processing: 0 [] {-} A=nil_Ar126264853le_alt|hAPP_l1105242632le_alt(hd_Arr805754088le_alt,hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,A),B))=hAPP_l1105242632le_alt(hd_Arr805754088le_alt,A).
% 0.59/0.77 Following clause subsumed by 1879 during input processing: 0 [] {-} A=nil_nat|hAPP_list_nat_nat(hd_nat,hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,A),B))=hAPP_list_nat_nat(hd_nat,A).
% 0.59/0.77 Following clause subsumed by 1988 during input processing: 0 [] {-} hBOOL(hAPP_f387058535l_bool(hAPP_b1787118453l_bool(member_bool,A),hAPP_l96088310l_bool(set_bool,B)))|hAPP_l1189022293t_bool(hAPP_b994696797t_bool(insert_bool,A),B)=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,A),B).
% 0.59/0.77 Following clause subsumed by 2186 during input processing: 0 [demod,2188] {-} A=A.
% 0.59/0.77 Following clause subsumed by 2186 during input processing: 0 [demod,2184] {-} A=A.
% 0.59/0.77 Following clause subsumed by 2186 during input processing: 0 [demod,2188] {-} A=A.
% 0.59/0.77 Following clause subsumed by 2186 during input processing: 0 [demod,2193] {-} hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),B))=hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),B)).
% 0.59/0.77 Following clause subsumed by 2186 during input processing: 0 [demod,2188] {-} A=A.
% 0.59/0.77 Following clause subsumed by 2186 during input processing: 0 [demod,2184] {-} A=A.
% 0.59/0.77 Following clause subsumed by 2186 during input processing: 0 [demod,2175] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B),C))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B),C)).
% 0.59/0.77 Following clause subsumed by 2186 during input processing: 0 [demod,2175] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B),C))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B),C)).
% 0.59/0.77 Following clause subsumed by 2181 during input processing: 0 [] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B),C))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),C)).
% 0.59/0.77 Following clause subsumed by 2182 during input processing: 0 [] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),B)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B),A).
% 0.59/0.77 Following clause subsumed by 2186 during input processing: 0 [demod,2213,2178,2184] {-} foldl_nat_nat(plus_plus_nat,A,B)=foldl_nat_nat(plus_plus_nat,A,B).
% 0.59/0.77 Following clause subsumed by 2230 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),A)).
% 0.59/0.77 Following clause subsumed by 2186 during input processing: 0 [demod,2232] {-} zero_zero_nat=zero_zero_nat.
% 0.59/0.77 Following clause subsumed by 2233 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),A)).
% 0.59/0.77 Following clause subsumed by 2234 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,B),A)).
% 0.59/0.77 Following clause subsumed by 2234 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,B),A)).
% 0.59/0.77 Following clause subsumed by 2274 during input processing: 0 [] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,A),B)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,B),A).
% 0.59/0.77 Following clause subsumed by 2186 during input processing: 0 [demod,2276] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,A),B)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,A),B).
% 0.59/0.77 Following clause subsumed by 2277 during input processing: 0 [] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,A),hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,B),C))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,B),hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,A),C)).
% 0.59/0.77 Following clause subsumed by 2186 during input processing: 0 [demod,2279] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,A),hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,B),C))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,A),hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,B),C)).
% 0.59/0.77 Following clause subsumed by 2307 during input processing: 0 [] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,A),B)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,B),A).
% 0.59/0.77 Following clause subsumed by 2186 during input processing: 0 [demod,2309] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,A),B)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,A),B).
% 0.59/0.77 Following clause subsumed by 2310 during input processing: 0 [] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,A),hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,B),C))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,B),hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,A),C)).
% 0.59/0.77 Following clause subsumed by 2186 during input processing: 0 [demod,2312] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,A),hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,B),C))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,A),hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,B),C)).
% 0.59/0.77 Following clause subsumed by 2186 during input processing: 0 [demod,2306] {-} A=A.
% 0.59/0.77 Following clause subsumed by 2233 during input processing: 0 [demod,2322] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,A),hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,B),C))),hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,A),hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,B),C)))).
% 0.59/0.77 Following clause subsumed by 2233 during input processing: 0 [demod,2319] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,A),hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,B),C))),hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,A),hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,B),C)))).
% 0.59/0.77 Following clause subsumed by 2186 during input processing: 0 [demod,2273] {-} A=A.
% 0.59/0.77 Following clause subsumed by 2450 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,B),A)).
% 0.59/0.77 Following clause subsumed by 2450 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),A)).
% 0.59/0.77 Following clause subsumed by 2450 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),A)).
% 0.59/0.77 Following clause subsumed by 2450 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,B),A)).
% 0.59/0.77 Following clause subsumed by 2451 during input processing: 0 [] {-} A=zero_zero_nat|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A)).
% 0.59/0.77 Following clause subsumed by 2454 during input processing: 0 [] {-} A=B|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),A)).
% 0.59/0.77 Following clause subsumed by 2454 during input processing: 0 [] {-} A=B|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),A)).
% 0.59/0.78 Following clause subsumed by 2454 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|A=B|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),A)).
% 0.59/0.78 Following clause subsumed by 2454 during input processing: 0 [] {-} A=B|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),A)).
% 0.59/0.78 Following clause subsumed by 2454 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),A))|B=A.
% 0.59/0.78 Following clause subsumed by 2454 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|A=B|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),A)).
% 0.59/0.78 Following clause subsumed by 2454 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),A))|A=B.
% 0.59/0.78 Following clause subsumed by 2454 during input processing: 0 [] {-} A=B|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),A)).
% 0.59/0.78 Following clause subsumed by 2186 during input processing: 0 [demod,2543] {-} hAPP_l248265089st_nat(hAPP_n280362926st_nat(drop_nat,A),butlast_nat(B))=hAPP_l248265089st_nat(hAPP_n280362926st_nat(drop_nat,A),butlast_nat(B)).
% 0.59/0.78 Following clause subsumed by 2186 during input processing: 0 [demod,2546] {-} hAPP_l726444215le_alt(hAPP_n2139729636le_alt(drop_A186780501le_alt,A),butlas1262502241le_alt(B))=hAPP_l726444215le_alt(hAPP_n2139729636le_alt(drop_A186780501le_alt,A),butlas1262502241le_alt(B)).
% 0.59/0.78 Following clause subsumed by 2186 during input processing: 0 [demod,2557] {-} hAPP_l248265089st_nat(hAPP_n280362926st_nat(drop_nat,A),tl_nat(B))=hAPP_l248265089st_nat(hAPP_n280362926st_nat(drop_nat,A),tl_nat(B)).
% 0.59/0.78 Following clause subsumed by 2186 during input processing: 0 [demod,2559] {-} hAPP_l726444215le_alt(hAPP_n2139729636le_alt(drop_A186780501le_alt,A),tl_Arr1453005548le_alt(B))=hAPP_l726444215le_alt(hAPP_n2139729636le_alt(drop_A186780501le_alt,A),tl_Arr1453005548le_alt(B)).
% 0.59/0.78 Following clause subsumed by 2186 during input processing: 0 [] {-} A=A.
% 0.59/0.78 1829 back subsumes 202.
% 0.59/0.78 Following clause subsumed by 2186 during input processing: 0 [copy,1845,flip.1] {-} hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,A),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,B),nil_bool))=hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,A),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,B),nil_bool)).
% 0.59/0.78 Following clause subsumed by 2186 during input processing: 0 [copy,1847,flip.1] {-} nil_nat=nil_nat.
% 0.59/0.78 Following clause subsumed by 2186 during input processing: 0 [copy,1851,flip.1] {-} nil_Ar126264853le_alt=nil_Ar126264853le_alt.
% 0.59/0.78 Following clause subsumed by 2186 during input processing: 0 [copy,1853,flip.1] {-} hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,A),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,B),nil_Ar126264853le_alt))=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,A),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,B),nil_Ar126264853le_alt)).
% 0.59/0.78 Following clause subsumed by 2186 during input processing: 0 [copy,1857,flip.1] {-} hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,A),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,B),nil_nat))=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,A),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,B),nil_nat)).
% 0.59/0.78 Following clause subsumed by 1905 during input processing: 0 [copy,1905,flip.1] {-} hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,hAPP_nat_list_nat(replicate_nat(A),B)),hAPP_nat_list_nat(replicate_nat(C),B))=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,hAPP_nat_list_nat(replicate_nat(C),B)),hAPP_nat_list_nat(replicate_nat(A),B)).
% 0.59/0.78 Following clause subsumed by 2186 during input processing: 0 [copy,1939,flip.1] {-} equal_equal_list_nat=equal_equal_list_nat.
% 0.64/0.84 Following clause subsumed by 2186 during input processing: 0 [copy,1941,flip.1] {-} equal_499625528le_alt=equal_499625528le_alt.
% 0.64/0.84 Following clause subsumed by 1991 during input processing: 0 [copy,1991,flip.1] {-} hAPP_l248265089st_nat(hAPP_n280362926st_nat(linord1850739451at_nat(cOMBI_nat),A),hAPP_l248265089st_nat(hAPP_n280362926st_nat(linord1850739451at_nat(cOMBI_nat),B),C))=hAPP_l248265089st_nat(hAPP_n280362926st_nat(linord1850739451at_nat(cOMBI_nat),B),hAPP_l248265089st_nat(hAPP_n280362926st_nat(linord1850739451at_nat(cOMBI_nat),A),C)).
% 0.64/0.84 Following clause subsumed by 2111 during input processing: 0 [copy,2111,flip.1] {-} hAPP_l248265089st_nat(hAPP_n280362926st_nat(remove1_nat,A),hAPP_l248265089st_nat(hAPP_n280362926st_nat(remove1_nat,B),C))=hAPP_l248265089st_nat(hAPP_n280362926st_nat(remove1_nat,B),hAPP_l248265089st_nat(hAPP_n280362926st_nat(remove1_nat,A),C)).
% 0.64/0.84 Following clause subsumed by 2112 during input processing: 0 [copy,2112,flip.1] {-} hAPP_l726444215le_alt(hAPP_A408086601le_alt(remove430413995le_alt,A),hAPP_l726444215le_alt(hAPP_A408086601le_alt(remove430413995le_alt,B),C))=hAPP_l726444215le_alt(hAPP_A408086601le_alt(remove430413995le_alt,B),hAPP_l726444215le_alt(hAPP_A408086601le_alt(remove430413995le_alt,A),C)).
% 0.64/0.84 Following clause subsumed by 2186 during input processing: 0 [copy,2180,flip.1] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B),C))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B),C)).
% 0.64/0.84 Following clause subsumed by 2181 during input processing: 0 [copy,2181,flip.1] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B),C))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),C)).
% 0.64/0.84 Following clause subsumed by 2182 during input processing: 0 [copy,2182,flip.1] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),B)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B),A).
% 0.64/0.84 Following clause subsumed by 2186 during input processing: 0 [copy,2186,flip.1] {-} A=A.
% 0.64/0.84 2186 back subsumes 2180.
% 0.64/0.84 2186 back subsumes 1941.
% 0.64/0.84 2186 back subsumes 1939.
% 0.64/0.84 2186 back subsumes 1857.
% 0.64/0.84 2186 back subsumes 1853.
% 0.64/0.84 2186 back subsumes 1851.
% 0.64/0.84 2186 back subsumes 1847.
% 0.64/0.84 2186 back subsumes 1845.
% 0.64/0.84 2186 back subsumes 1704.
% 0.64/0.84 2186 back subsumes 1700.
% 0.64/0.84 2186 back subsumes 1699.
% 0.64/0.84 2186 back subsumes 1698.
% 0.64/0.84 2186 back subsumes 1690.
% 0.64/0.84 2186 back subsumes 1689.
% 0.64/0.84 2186 back subsumes 1688.
% 0.64/0.84 2186 back subsumes 1687.
% 0.64/0.84 2186 back subsumes 1686.
% 0.64/0.84 2186 back subsumes 1685.
% 0.64/0.84 2186 back subsumes 1684.
% 0.64/0.84 2186 back subsumes 1683.
% 0.64/0.84 2186 back subsumes 1682.
% 0.64/0.84 2186 back subsumes 1681.
% 0.64/0.84 2186 back subsumes 1680.
% 0.64/0.84 2186 back subsumes 1679.
% 0.64/0.84 2186 back subsumes 1678.
% 0.64/0.84 2186 back subsumes 1677.
% 0.64/0.84 2186 back subsumes 1676.
% 0.64/0.84 2186 back subsumes 1673.
% 0.64/0.84 2186 back subsumes 1672.
% 0.64/0.84 2186 back subsumes 1657.
% 0.64/0.84 2186 back subsumes 1656.
% 0.64/0.84 2186 back subsumes 1655.
% 0.64/0.84 2186 back subsumes 1642.
% 0.64/0.84 2186 back subsumes 1619.
% 0.64/0.84 2186 back subsumes 1577.
% 0.64/0.84 2186 back subsumes 1558.
% 0.64/0.84 2186 back subsumes 1552.
% 0.64/0.84 2186 back subsumes 1527.
% 0.64/0.84 Following clause subsumed by 2204 during input processing: 0 [copy,2204,flip.1] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C),D)))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B),D))).
% 0.64/0.84 Following clause subsumed by 2206 during input processing: 0 [copy,2206,flip.1] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B),C))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C),B)).
% 0.64/0.84 2233 back subsumes 1694.
% 0.64/0.84 2233 back subsumes 1693.
% 0.64/0.84 2233 back subsumes 1692.
% 0.64/0.84 2233 back subsumes 1659.
% 0.64/0.84 Following clause subsumed by 2274 during input processing: 0 [copy,2274,flip.1] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,A),B)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,B),A).
% 0.64/0.84 Following clause subsumed by 2277 during input processing: 0 [copy,2277,flip.1] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,A),hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,B),C))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,B),hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,A),C)).
% 0.64/0.84 Following clause subsumed by 2307 during input processing: 0 [copy,2307,flip.1] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,A),B)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,B),A).
% 0.64/0.84 Following clause subsumed by 2310 during input processing: 0 [copy,2310,flip.1] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,A),hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,B),C))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,B),hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,A),C)).
% 0.64/0.84 Following clause subsumed by 2365 during input processing: 0 [copy,2365,flip.1] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,A),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B),C))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,A),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C),B)).
% 0.64/0.84 2450 back subsumes 1195.
% 0.64/0.84 Following clause subsumed by 1783 during input processing: 0 [copy,2647,flip.1] {-} list_c380068407le_alt(A,B,hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,C),D))=hAPP_l726444215le_alt(hAPP_A408086601le_alt(B,C),D).
% 0.64/0.84 Following clause subsumed by 1784 during input processing: 0 [copy,2648,flip.1] {-} list_c554461815at_nat(A,B,hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,C),D))=hAPP_l248265089st_nat(hAPP_n280362926st_nat(B,C),D).
% 0.64/0.84 Following clause subsumed by 2658 during input processing: 0 [copy,2658,flip.1] {-} hAPP_l726444215le_alt(hAPP_A408086601le_alt(cOMBB_881934114le_alt(append1166636842le_alt,replic351609551le_alt(A)),B),hAPP_A832564074le_alt(replic351609551le_alt(C),B))=hAPP_l726444215le_alt(hAPP_A408086601le_alt(cOMBB_881934114le_alt(append1166636842le_alt,replic351609551le_alt(C)),B),hAPP_A832564074le_alt(replic351609551le_alt(A),B)).
% 0.64/0.84 Following clause subsumed by 2058 during input processing: 0 [copy,2929,flip.1] {-} map_fi80499576t_bool(A,hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,B),C))=option718651152l_bool(map_fi80499576t_bool(A,C),hAPP_l1045755451t_bool(cOMBC_80330970t_bool(cons_bool),map_fi80499576t_bool(A,C)),hAPP_A524667246n_bool(A,B)).
% 0.64/0.84 Following clause subsumed by 2059 during input processing: 0 [copy,2930,flip.1] {-} map_fi2015041583lt_nat(A,hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,B),C))=option306705938at_nat(map_fi2015041583lt_nat(A,C),hAPP_l383341732st_nat(cOMBC_1204473209st_nat(cons_nat),map_fi2015041583lt_nat(A,C)),hAPP_A1356081999on_nat(A,B)).
% 0.64/0.84 Following clause subsumed by 2060 during input processing: 0 [copy,2931,flip.1] {-} map_fi695734538le_alt(A,hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,B),C))=option468438226le_alt(map_fi695734538le_alt(A,C),hAPP_l618618165le_alt(cOMBC_1919297930le_alt(cons_A1216297413le_alt),map_fi695734538le_alt(A,C)),hAPP_A373227306le_alt(A,B)).
% 0.64/0.84 Following clause subsumed by 2061 during input processing: 0 [copy,2932,flip.1] {-} map_filter_nat_bool(A,hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,B),C))=option718651152l_bool(map_filter_nat_bool(A,C),hAPP_l1045755451t_bool(cOMBC_80330970t_bool(cons_bool),map_filter_nat_bool(A,C)),hAPP_nat_option_bool(A,B)).
% 0.64/0.84 Following clause subsumed by 2062 during input processing: 0 [copy,2933,flip.1] {-} map_filter_nat_nat(A,hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,B),C))=option306705938at_nat(map_filter_nat_nat(A,C),hAPP_l383341732st_nat(cOMBC_1204473209st_nat(cons_nat),map_filter_nat_nat(A,C)),hAPP_nat_option_nat(A,B)).
% 0.64/0.84 Following clause subsumed by 2063 during input processing: 0 [copy,2934,flip.1] {-} map_fi302768037le_alt(A,hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,B),C))=option468438226le_alt(map_fi302768037le_alt(A,C),hAPP_l618618165le_alt(cOMBC_1919297930le_alt(cons_A1216297413le_alt),map_fi302768037le_alt(A,C)),hAPP_n2020361039le_alt(A,B)).
% 0.64/0.84 Following clause subsumed by 2064 during input processing: 0 [copy,2935,flip.1] {-} map_fi1996871376le_alt(A,hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,B),C))=option468438226le_alt(map_fi1996871376le_alt(A,C),hAPP_l618618165le_alt(cOMBC_1919297930le_alt(cons_A1216297413le_alt),map_fi1996871376le_alt(A,C)),hAPP_b803953466le_alt(A,B)).
% 0.64/0.84 Following clause subsumed by 2065 during input processing: 0 [copy,2936,flip.1] {-} map_filter_bool_nat(A,hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,B),C))=option306705938at_nat(map_filter_bool_nat(A,C),hAPP_l383341732st_nat(cOMBC_1204473209st_nat(cons_nat),map_filter_bool_nat(A,C)),hAPP_bool_option_nat(A,B)).
% 0.64/0.84 Following clause subsumed by 2067 during input processing: 0 [copy,2937,flip.1] {-} sublist_bool(hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,A),B),C)=hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,if_list_bool(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,zero_zero_nat),C),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,A),nil_bool),nil_bool)),sublist_bool(B,hAPP_f800510211t_bool(cOMBC_226598744l_bool(cOMBB_1146692694ol_nat(member_nat,suc)),C))).
% 0.64/0.84 Following clause subsumed by 2069 during input processing: 0 [copy,2938,flip.1] {-} sublis888024346le_alt(hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,A),B),C)=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,if_lis1340954026le_alt(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,zero_zero_nat),C),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,A),nil_Ar126264853le_alt),nil_Ar126264853le_alt)),sublis888024346le_alt(B,hAPP_f800510211t_bool(cOMBC_226598744l_bool(cOMBB_1146692694ol_nat(member_nat,suc)),C))).
% 0.64/0.84 Following clause subsumed by 2071 during input processing: 0 [copy,2939,flip.1] {-} sublist_nat(hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,A),B),C)=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,if_list_nat(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,zero_zero_nat),C),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,A),nil_nat),nil_nat)),sublist_nat(B,hAPP_f800510211t_bool(cOMBC_226598744l_bool(cOMBB_1146692694ol_nat(member_nat,suc)),C))).
% 0.64/0.84 Following clause subsumed by 2076 during input processing: 0 [copy,2940,flip.1] {-} hAPP_bool_list_bool(replicate_bool(hAPP_nat_nat(suc,A)),B)=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,B),hAPP_bool_list_bool(replicate_bool(A),B)).
% 0.64/0.84 Following clause subsumed by 2077 during input processing: 0 [copy,2941,flip.1] {-} hAPP_A832564074le_alt(replic351609551le_alt(hAPP_nat_nat(suc,A)),B)=hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,B),hAPP_A832564074le_alt(replic351609551le_alt(A),B)).
% 0.64/0.84 Following clause subsumed by 2138 during input processing: 0 [copy,2943,flip.1] {-} hAPP_l1189022293t_bool(hAPP_n479129736t_bool(take_bool,hAPP_nat_nat(suc,A)),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,B),C))=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,B),hAPP_l1189022293t_bool(hAPP_n479129736t_bool(take_bool,A),C)).
% 0.64/0.84 Following clause subsumed by 2139 during input processing: 0 [copy,2944,flip.1] {-} hAPP_l726444215le_alt(hAPP_n2139729636le_alt(take_A1601602045le_alt,hAPP_nat_nat(suc,A)),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,B),C))=hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,B),hAPP_l726444215le_alt(hAPP_n2139729636le_alt(take_A1601602045le_alt,A),C)).
% 0.64/0.84 Following clause subsumed by 2140 during input processing: 0 [copy,2945,flip.1] {-} hAPP_l248265089st_nat(hAPP_n280362926st_nat(take_nat,hAPP_nat_nat(suc,A)),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,B),C))=hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,B),hAPP_l248265089st_nat(hAPP_n280362926st_nat(take_nat,A),C)).
% 0.64/0.84 Following clause subsumed by 2152 during input processing: 0 [copy,2946,flip.1] {-} hAPP_l726444215le_alt(hAPP_n2139729636le_alt(take_A1601602045le_alt,A),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,B),C))=hAPP_n1875670159le_alt(nat_ca14895078le_alt(nil_Ar126264853le_alt,cOMBB_903467948lt_nat(hAPP_A408086601le_alt(cons_A1216297413le_alt,B),hAPP_l382792410le_alt(cOMBC_1511969967le_alt(take_A1601602045le_alt),C))),A).
% 0.64/0.85 Following clause subsumed by 2194 during input processing: 0 [copy,3023,flip.1] {-} foldl_nat_nat(A,B,hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,C),D))=foldl_nat_nat(A,hAPP_nat_nat(hAPP_nat_fun_nat_nat(A,B),C),D).
% 0.64/0.85 Following clause subsumed by 2197 during input processing: 0 [copy,3024,flip.1] {-} foldl_nat_nat(A,B,hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,C),D))=foldl_nat_nat(A,foldl_nat_nat(A,B,C),D).
% 0.64/0.85 Following clause subsumed by 3075 during input processing: 0 [copy,3025,flip.1] {-} hAPP_A832564074le_alt(replic351609551le_alt(hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),B)),C)=hAPP_l726444215le_alt(hAPP_A408086601le_alt(cOMBB_881934114le_alt(append1166636842le_alt,replic351609551le_alt(A)),C),hAPP_A832564074le_alt(replic351609551le_alt(B),C)).
% 0.64/0.85 Following clause subsumed by 2201 during input processing: 0 [copy,3026,flip.1] {-} linord852754176at_nat(cOMBI_nat,A)=foldl_list_nat_nat(cOMBC_1204473209st_nat(linord1850739451at_nat(cOMBI_nat)),nil_nat,A).
% 0.64/0.85 Following clause subsumed by 2207 during input processing: 0 [copy,3027,flip.1] {-} linord852754176at_nat(A,hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,B),C))=hAPP_l248265089st_nat(hAPP_n280362926st_nat(linord1850739451at_nat(A),B),linord852754176at_nat(A,C)).
% 0.64/0.85 Following clause subsumed by 2219 during input processing: 0 [copy,3028,flip.1] {-} hAPP_nat_nat(foldr_nat_nat(A,B),C)=foldl_nat_nat(cOMBC_nat_nat_nat(A),C,foldl_list_nat_nat(cOMBC_1204473209st_nat(cons_nat),nil_nat,B)).
% 0.64/0.85 Following clause subsumed by 2235 during input processing: 0 [copy,3029,flip.1] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,A),B)),C)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),C)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B),C)).
% 0.64/0.85 Following clause subsumed by 2248 during input processing: 0 [copy,3030,flip.1] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,A),hAPP_nat_nat(suc,B))=hAPP_nat_nat(nat_case_nat(hAPP_nat_nat(suc,B),cOMBB_nat_nat_nat(suc,hAPP_nat_fun_nat_nat(cOMBC_nat_nat_nat(ord_max_nat),B))),A).
% 0.64/0.85 Following clause subsumed by 2296 during input processing: 0 [copy,3031,flip.1] {-} hAPP_list_bool_nat(size_size_list_bool,hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,A),B))=hAPP_nat_nat(suc,hAPP_list_bool_nat(size_size_list_bool,B)).
% 0.64/0.85 Following clause subsumed by 2298 during input processing: 0 [copy,3032,flip.1] {-} hAPP_list_nat_nat(size_size_list_nat,hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,A),B))=hAPP_nat_nat(suc,hAPP_list_nat_nat(size_size_list_nat,B)).
% 0.64/0.85 Following clause subsumed by 2300 during input processing: 0 [copy,3033,flip.1] {-} hAPP_l1872264749lt_nat(size_s1873794948le_alt,hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,A),B))=hAPP_nat_nat(suc,hAPP_l1872264749lt_nat(size_s1873794948le_alt,B)).
% 0.64/0.85 Following clause subsumed by 2301 during input processing: 0 [copy,3034,flip.1] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,A),hAPP_nat_nat(suc,B))=hAPP_nat_nat(nat_case_nat(zero_zero_nat,cOMBI_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,A),B)).
% 0.64/0.85 Following clause subsumed by 2302 during input processing: 0 [copy,3035,flip.1] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,A),hAPP_nat_nat(suc,B))=hAPP_nat_nat(nat_case_nat(zero_zero_nat,cOMBB_nat_nat_nat(suc,hAPP_nat_fun_nat_nat(cOMBC_nat_nat_nat(ord_min_nat),B))),A).
% 0.64/0.85 Following clause subsumed by 2323 during input processing: 0 [copy,3036,flip.1] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,A),B)),C)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,A),C)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,B),C)).
% 0.64/0.85 Following clause subsumed by 2324 during input processing: 0 [copy,3037,flip.1] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,A),B)),C)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,A),C)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,B),C)).
% 0.64/0.85 Following clause subsumed by 2337 during input processing: 0 [copy,3038,flip.1] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,A),B)),C)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),C)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B),C)).
% 0.64/0.85 Following clause subsumed by 2366 during input processing: 0 [copy,3040,flip.1] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,A),B)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,C),B))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,A),C)),B).
% 0.64/0.85 Following clause subsumed by 2405 during input processing: 0 [copy,3041,flip.1] {-} hAPP_l726444215le_alt(hAPP_n2139729636le_alt(take_A1601602045le_alt,A),hAPP_A832564074le_alt(replic351609551le_alt(B),C))=hAPP_A832564074le_alt(replic351609551le_alt(hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,A),B)),C).
% 0.64/0.85 Following clause subsumed by 2411 during input processing: 0 [copy,3042,flip.1] {-} hAPP_list_nat_nat(size_size_list_nat,hAPP_l248265089st_nat(hAPP_n280362926st_nat(linord1850739451at_nat(A),B),C))=hAPP_nat_nat(suc,hAPP_list_nat_nat(size_size_list_nat,C)).
% 0.64/0.85 Following clause subsumed by 2437 during input processing: 0 [copy,3043,flip.1] {-} sublis888024346le_alt(hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,A),B),C)=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,sublis888024346le_alt(A,C)),sublis888024346le_alt(B,hAPP_f800510211t_bool(cOMBC_226598744l_bool(cOMBB_1146692694ol_nat(member_nat,hAPP_nat_fun_nat_nat(cOMBC_nat_nat_nat(plus_plus_nat),hAPP_l1872264749lt_nat(size_s1873794948le_alt,A)))),C))).
% 0.64/0.85 Following clause subsumed by 2439 during input processing: 0 [copy,3044,flip.1] {-} sublist_nat(hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,A),B),C)=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,sublist_nat(A,C)),sublist_nat(B,hAPP_f800510211t_bool(cOMBC_226598744l_bool(cOMBB_1146692694ol_nat(member_nat,hAPP_nat_fun_nat_nat(cOMBC_nat_nat_nat(plus_plus_nat),hAPP_list_nat_nat(size_size_list_nat,A)))),C))).
% 0.64/0.85 Following clause subsumed by 2447 during input processing: 0 [copy,3045,flip.1] {-} hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),B)=cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),A)),cOMBB_bool_bool_nat(fNot,hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),B))).
% 0.64/0.85 Following clause subsumed by 2538 during input processing: 0 [copy,3051,flip.1] {-} hAPP_l726444215le_alt(hAPP_n2139729636le_alt(drop_A186780501le_alt,A),hAPP_A832564074le_alt(replic351609551le_alt(B),C))=hAPP_A832564074le_alt(replic351609551le_alt(hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,B),A)),C).
% 0.64/0.85 Following clause subsumed by 2539 during input processing: 0 [copy,3052,flip.1] {-} hAPP_l248265089st_nat(hAPP_n280362926st_nat(drop_nat,hAPP_nat_nat(suc,A)),B)=hAPP_l248265089st_nat(hAPP_n280362926st_nat(drop_nat,A),tl_nat(B)).
% 0.64/0.85 Following clause subsumed by 2540 during input processing: 0 [copy,3053,flip.1] {-} hAPP_l726444215le_alt(hAPP_n2139729636le_alt(drop_A186780501le_alt,hAPP_nat_nat(suc,A)),B)=hAPP_l726444215le_alt(hAPP_n2139729636le_alt(drop_A186780501le_alt,A),tl_Arr1453005548le_alt(B)).
% 0.64/0.85 Following clause subsumed by 2566 during input processing: 0 [copy,3054,flip.1] {-} map_nat_nat(suc,hAPP_nat_list_nat(upt(A),B))=hAPP_nat_list_nat(upt(hAPP_nat_nat(suc,A)),hAPP_nat_nat(suc,B)).
% 0.64/0.85 Following clause subsumed by 2575 during input processing: 0 [copy,3055,flip.1] {-} hAPP_list_nat_nat(size_size_list_nat,hAPP_nat_list_nat(upt(A),B))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,B),A).
% 0.64/0.85 Following clause subsumed by 2591 during input processing: 0 [copy,3056,flip.1] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(cOMBC_nat_nat_nat(A),B),C)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(A,C),B).
% 0.64/0.85 Following clause subsumed by 2592 during input processing: 0 [copy,3057,flip.1] {-} hAPP_nat_bool(hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(A),B),C)=hAPP_nat_bool(hAPP_n1699378549t_bool(A,C),B).
% 0.64/0.85 Following clause subsumed by 2599 during input processing: 0 [copy,3058,flip.1] {-} hAPP_bool_bool(hAPP_b589554111l_bool(cOMBC_bool_bool_bool(A),B),C)=hAPP_bool_bool(hAPP_b589554111l_bool(A,C),B).
% 0.64/0.85 Following clause subsumed by 2600 during input processing: 0 [copy,3059,flip.1] {-} hAPP_bool_bool(cOMBS_bool_bool_bool(A,B),C)=hAPP_bool_bool(hAPP_b589554111l_bool(A,C),hAPP_bool_bool(B,C)).
% 0.64/0.85 Following clause subsumed by 2607 during input processing: 0 [copy,3060,flip.1] {-} hAPP_n1006566506l_bool(cOMBB_1015721476ol_nat(A,B),C)=hAPP_b589554111l_bool(A,hAPP_nat_bool(B,C)).
% 0.64/0.85 Following clause subsumed by 2608 during input processing: 0 [copy,3061,flip.1] {-} hAPP_b589554111l_bool(cOMBB_1914122979l_bool(A,B),C)=hAPP_b589554111l_bool(A,hAPP_bool_bool(B,C)).
% 0.64/0.85 Following clause subsumed by 2621 during input processing: 0 [copy,3062,flip.1] {-} hAPP_A862370221t_bool(cOMBS_1393264256l_bool(A,B),C)=hAPP_A862370221t_bool(cOMBB_2104979073le_alt(hAPP_A822657487l_bool(A,C),B),C).
% 0.64/0.85 Following clause subsumed by 2622 during input processing: 0 [copy,3063,flip.1] {-} hAPP_bool_list_bool(hAPP_l1045755451t_bool(cOMBC_80330970t_bool(A),B),C)=hAPP_l1189022293t_bool(hAPP_b994696797t_bool(A,C),B).
% 0.64/0.85 Following clause subsumed by 2625 during input processing: 0 [copy,3064,flip.1] {-} hAPP_n215258509l_bool(cOMBB_1146692694ol_nat(A,B),C)=hAPP_n215258509l_bool(A,hAPP_nat_nat(B,C)).
% 0.64/0.85 Following clause subsumed by 2626 during input processing: 0 [copy,3065,flip.1] {-} hAPP_l248265089st_nat(hAPP_l710375585st_nat(cOMBC_950362600st_nat(A),B),C)=hAPP_l248265089st_nat(hAPP_l710375585st_nat(A,C),B).
% 0.64/0.85 Following clause subsumed by 2627 during input processing: 0 [copy,3066,flip.1] {-} hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(cOMBC_1789016513t_bool(A),B),C)=hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(A,C),B).
% 0.64/0.85 Following clause subsumed by 2631 during input processing: 0 [copy,3067,flip.1] {-} hAPP_A862370221t_bool(hAPP_A1664620203t_bool(cOMBC_1628726426t_bool(A),B),C)=hAPP_A862370221t_bool(hAPP_A1664620203t_bool(A,C),B).
% 0.64/0.85 Following clause subsumed by 2632 during input processing: 0 [copy,3068,flip.1] {-} hAPP_n280362926st_nat(cOMBB_472649634at_nat(A,B),C)=hAPP_l710375585st_nat(A,hAPP_nat_list_nat(B,C)).
% 0.64/0.85 Following clause subsumed by 2636 during input processing: 0 [copy,3071,flip.1] {-} hAPP_A862370221t_bool(hAPP_f2014742713t_bool(cOMBC_1745481870l_bool(A),B),C)=hAPP_f2013399995l_bool(hAPP_A297543629l_bool(A,C),B).
% 0.64/0.85 Following clause subsumed by 2639 during input processing: 0 [copy,3072,flip.1] {-} hAPP_n1875670159le_alt(hAPP_l382792410le_alt(cOMBC_1511969967le_alt(A),B),C)=hAPP_l726444215le_alt(hAPP_n2139729636le_alt(A,C),B).
% 0.64/0.85 Following clause subsumed by 2640 during input processing: 0 [copy,3073,flip.1] {-} hAPP_A832564074le_alt(hAPP_l618618165le_alt(cOMBC_1919297930le_alt(A),B),C)=hAPP_l726444215le_alt(hAPP_A408086601le_alt(A,C),B).
% 0.64/0.85 Following clause subsumed by 2643 during input processing: 0 [copy,3074,flip.1] {-} hAPP_l726444215le_alt(hAPP_l568342716le_alt(cOMBC_1058495865le_alt(A),B),C)=hAPP_l726444215le_alt(hAPP_l568342716le_alt(A,C),B).
% 0.64/0.85 Following clause subsumed by 3025 during input processing: 0 [copy,3075,flip.1] {-} hAPP_l726444215le_alt(hAPP_A408086601le_alt(cOMBB_881934114le_alt(append1166636842le_alt,replic351609551le_alt(A)),B),hAPP_A832564074le_alt(replic351609551le_alt(C),B))=hAPP_A832564074le_alt(replic351609551le_alt(hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),C)),B).
% 0.64/0.85 Following clause subsumed by 2916 during input processing: 0 [copy,3080,flip.1] {-} list_c1750880501l_bool(nil_bool,cOMBB_1663860504l_bool(cOMBC_1789016513t_bool(append_bool),hAPP_l1045755451t_bool(cOMBC_80330970t_bool(cons_bool),nil_bool)),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,A),B))=hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,B),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,A),nil_bool)).
% 0.64/0.85 Following clause subsumed by 2918 during input processing: 0 [copy,3081,flip.1] {-} list_c380068407le_alt(nil_Ar126264853le_alt,cOMBB_881934114le_alt(cOMBC_1058495865le_alt(append1166636842le_alt),hAPP_l618618165le_alt(cOMBC_1919297930le_alt(cons_A1216297413le_alt),nil_Ar126264853le_alt)),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,A),B))=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,B),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,A),nil_Ar126264853le_alt)).
% 0.64/0.85 Following clause subsumed by 2924 during input processing: 0 [copy,3082,flip.1] {-} list_c554461815at_nat(nil_nat,cOMBB_472649634at_nat(cOMBC_950362600st_nat(append_nat),hAPP_l383341732st_nat(cOMBC_1204473209st_nat(cons_nat),nil_nat)),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,A),B))=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,B),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,A),nil_nat)).
% 0.64/0.85 Following clause subsumed by 2949 during input processing: 0 [copy,3083,flip.1] {-} foldl_list_nat_nat(cOMBC_1204473209st_nat(cons_nat),nil_nat,hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,A),B))=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,foldl_list_nat_nat(cOMBC_1204473209st_nat(cons_nat),nil_nat,B)),foldl_list_nat_nat(cOMBC_1204473209st_nat(cons_nat),nil_nat,A)).
% 0.64/0.85 Following clause subsumed by 2956 during input processing: 0 [copy,3084,flip.1] {-} foldl_list_nat_nat(cOMBC_1204473209st_nat(cons_nat),nil_nat,hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,A),B))=hAPP_l248265089st_nat(hAPP_l710375585st_nat(append_nat,foldl_list_nat_nat(cOMBC_1204473209st_nat(cons_nat),nil_nat,B)),hAPP_l248265089st_nat(hAPP_n280362926st_nat(cons_nat,A),nil_nat)).
% 0.64/0.85 Following clause subsumed by 2980 during input processing: 0 [copy,3085,flip.1] {-} foldl_1200072380le_alt(cOMBC_1919297930le_alt(cons_A1216297413le_alt),nil_Ar126264853le_alt,hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,A),B))=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,foldl_1200072380le_alt(cOMBC_1919297930le_alt(cons_A1216297413le_alt),nil_Ar126264853le_alt,B)),foldl_1200072380le_alt(cOMBC_1919297930le_alt(cons_A1216297413le_alt),nil_Ar126264853le_alt,A)).
% 0.64/0.85 Following clause subsumed by 2987 during input processing: 0 [copy,3086,flip.1] {-} foldl_1200072380le_alt(cOMBC_1919297930le_alt(cons_A1216297413le_alt),nil_Ar126264853le_alt,hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,A),B))=hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,foldl_1200072380le_alt(cOMBC_1919297930le_alt(cons_A1216297413le_alt),nil_Ar126264853le_alt,B)),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,A),nil_Ar126264853le_alt)).
% 0.64/0.85 Following clause subsumed by 3005 during input processing: 0 [copy,3087,flip.1] {-} foldl_list_bool_bool(cOMBC_80330970t_bool(cons_bool),nil_bool,hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,A),B))=hAPP_l1189022293t_bool(hAPP_l1947611924t_bool(append_bool,foldl_list_bool_bool(cOMBC_80330970t_bool(cons_bool),nil_bool,B)),hAPP_l1189022293t_bool(hAPP_b994696797t_bool(cons_bool,A),nil_bool)).
% 0.64/0.85
% 0.64/0.85 ======= end of input processing =======
% 0.64/0.85
% 0.64/0.85 SEGMENTATION FAULT!! This is probably caused by a
% 0.64/0.85 bug in Otter. Please send copy of the input file to
% 0.64/0.85 otter@mcs.anl.gov, let us know what version of Otter you are
% 0.64/0.85 using, and send any other info that might be useful.
% 0.64/0.85
% 0.64/0.86
% 0.64/0.86 SEGMENTATION FAULT!! This is probably caused by a
% 0.64/0.86 bug in Otter. Please send copy of the input file to
% 0.64/0.86 otter@mcs.anl.gov, let us know what version of Otter you are
% 0.64/0.86 using, and send any other info that might be useful.
% 0.64/0.86
% 0.64/0.86
% 0.64/0.86 The job finished Sat Jul 2 01:03:35 2022
%------------------------------------------------------------------------------