TSTP Solution File: SCT169+2 by SOS---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : SCT169+2 : TPTP v8.1.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n007.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 22:12:27 EDT 2022
% Result : Unknown 0.19s 0.52s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SCT169+2 : TPTP v8.1.0. Released v5.3.0.
% 0.03/0.12 % Command : sos-script %s
% 0.13/0.33 % Computer : n007.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sat Jul 2 04:45:09 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.48 ----- Otter 3.2, August 2001 -----
% 0.19/0.48 The process was started by sandbox on n007.cluster.edu,
% 0.19/0.48 Sat Jul 2 04:45:10 2022
% 0.19/0.48 The command was "./sos". The process ID is 29359.
% 0.19/0.48
% 0.19/0.48 set(prolog_style_variables).
% 0.19/0.48 set(auto).
% 0.19/0.48 dependent: set(auto1).
% 0.19/0.48 dependent: set(process_input).
% 0.19/0.48 dependent: clear(print_kept).
% 0.19/0.48 dependent: clear(print_new_demod).
% 0.19/0.48 dependent: clear(print_back_demod).
% 0.19/0.48 dependent: clear(print_back_sub).
% 0.19/0.48 dependent: set(control_memory).
% 0.19/0.48 dependent: assign(max_mem, 12000).
% 0.19/0.48 dependent: assign(pick_given_ratio, 4).
% 0.19/0.48 dependent: assign(stats_level, 1).
% 0.19/0.48 dependent: assign(pick_semantic_ratio, 3).
% 0.19/0.48 dependent: assign(sos_limit, 5000).
% 0.19/0.48 dependent: assign(max_weight, 60).
% 0.19/0.48 clear(print_given).
% 0.19/0.48
% 0.19/0.48 formula_list(usable).
% 0.19/0.48
% 0.19/0.48 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=1, max_lits=7.
% 0.19/0.48
% 0.19/0.48 This ia a non-Horn set with equality. The strategy will be
% 0.19/0.48 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.19/0.48 unit deletion, with positive clauses in sos and nonpositive
% 0.19/0.48 clauses in usable.
% 0.19/0.48
% 0.19/0.48 dependent: set(knuth_bendix).
% 0.19/0.48 dependent: set(para_from).
% 0.19/0.48 dependent: set(para_into).
% 0.19/0.48 dependent: clear(para_from_right).
% 0.19/0.48 dependent: clear(para_into_right).
% 0.19/0.48 dependent: set(para_from_vars).
% 0.19/0.48 dependent: set(eq_units_both_ways).
% 0.19/0.48 dependent: set(dynamic_demod_all).
% 0.19/0.48 dependent: set(dynamic_demod).
% 0.19/0.48 dependent: set(order_eq).
% 0.19/0.48 dependent: set(back_demod).
% 0.19/0.48 dependent: set(lrpo).
% 0.19/0.48 dependent: set(hyper_res).
% 0.19/0.48 dependent: set(unit_deletion).
% 0.19/0.48 dependent: set(factor).
% 0.19/0.48
% 0.19/0.48 There is a clause for symmetry of equality, so it is
% 0.19/0.48 assumed that equality is fully axiomatized; therefore,
% 0.19/0.48 paramodulation is disabled.
% 0.19/0.48
% 0.19/0.48 dependent: clear(para_from).
% 0.19/0.48 dependent: clear(para_into).
% 0.19/0.48
% 0.19/0.48 ------------> process usable:
% 0.19/0.48 Following clause subsumed by 4 during input processing: 0 [] {-} cons_A77766063le_alt(A,B)!=nil_Ar1135217151le_alt.
% 0.19/0.48 Following clause subsumed by 6 during input processing: 0 [] {-} cons_nat(A,B)!=nil_nat.
% 0.19/0.48 Following clause subsumed by 10 during input processing: 0 [] {-} cons_A77766063le_alt(A,B)!=B.
% 0.19/0.48 Following clause subsumed by 29 during input processing: 0 [] {-} -hBOOL(hAPP_l300482276t_bool(null_A1369988103le_alt,A))|A=nil_Ar1135217151le_alt.
% 0.19/0.48 Following clause subsumed by 28 during input processing: 0 [] {-} hBOOL(hAPP_l300482276t_bool(null_A1369988103le_alt,A))|A!=nil_Ar1135217151le_alt.
% 0.19/0.48 Following clause subsumed by 31 during input processing: 0 [] {-} -hBOOL(hAPP_list_nat_bool(null_nat,A))|A=nil_nat.
% 0.19/0.48 Following clause subsumed by 30 during input processing: 0 [] {-} hBOOL(hAPP_list_nat_bool(null_nat,A))|A!=nil_nat.
% 0.19/0.48 Following clause subsumed by 41 during input processing: 0 [] {-} append28105492le_alt(A,B)!=C|D!=append28105492le_alt(B,E)|append28105492le_alt(A,D)=append28105492le_alt(C,E).
% 0.19/0.48 Following clause subsumed by 48 during input processing: 0 [] {-} append28105492le_alt(A,B)!=nil_Ar1135217151le_alt|A=nil_Ar1135217151le_alt.
% 0.19/0.48 Following clause subsumed by 50 during input processing: 0 [] {-} append28105492le_alt(A,B)!=nil_Ar1135217151le_alt|B=nil_Ar1135217151le_alt.
% 0.19/0.48 Following clause subsumed by 52 during input processing: 0 [] {-} append28105492le_alt(A,B)=nil_Ar1135217151le_alt|A!=nil_Ar1135217151le_alt|B!=nil_Ar1135217151le_alt.
% 0.19/0.48 Following clause subsumed by 54 during input processing: 0 [] {-} append_nat(A,B)!=nil_nat|A=nil_nat.
% 0.19/0.48 Following clause subsumed by 56 during input processing: 0 [] {-} append_nat(A,B)!=nil_nat|B=nil_nat.
% 0.19/0.48 Following clause subsumed by 58 during input processing: 0 [] {-} append_nat(A,B)=nil_nat|A!=nil_nat|B!=nil_nat.
% 0.19/0.48 Following clause subsumed by 60 during input processing: 0 [] {-} append28105492le_alt(A,B)!=A|B=nil_Ar1135217151le_alt.
% 0.19/0.48 Following clause subsumed by 62 during input processing: 0 [] {-} append28105492le_alt(A,B)=A|B!=nil_Ar1135217151le_alt.
% 0.19/0.48 Following clause subsumed by 64 during input processing: 0 [] {-} append_nat(A,B)!=A|B=nil_nat.
% 0.19/0.48 Following clause subsumed by 66 during input processing: 0 [] {-} append_nat(A,B)=A|B!=nil_nat.
% 0.19/0.48 Following clause subsumed by 68 during input processing: 0 [] {-} append28105492le_alt(A,B)!=B|A=nil_Ar1135217151le_alt.
% 0.19/0.49 Following clause subsumed by 70 during input processing: 0 [] {-} append28105492le_alt(A,B)=B|A!=nil_Ar1135217151le_alt.
% 0.19/0.49 Following clause subsumed by 72 during input processing: 0 [] {-} append_nat(A,B)!=B|A=nil_nat.
% 0.19/0.49 Following clause subsumed by 74 during input processing: 0 [] {-} append_nat(A,B)=B|A!=nil_nat.
% 0.19/0.49 Following clause subsumed by 46 during input processing: 0 [] {-} cons_A77766063le_alt(A,B)=append28105492le_alt(C,D)|cons_A77766063le_alt(A,E)!=C|B!=append28105492le_alt(E,D).
% 0.19/0.49 Following clause subsumed by 145 during input processing: 0 [flip.1] {-} rev_Ar955429983le_alt(A)!=nil_Ar1135217151le_alt|A=nil_Ar1135217151le_alt.
% 0.19/0.49 Following clause subsumed by 146 during input processing: 0 [flip.1] {-} rev_Ar955429983le_alt(A)=nil_Ar1135217151le_alt|A!=nil_Ar1135217151le_alt.
% 0.19/0.49 Following clause subsumed by 147 during input processing: 0 [flip.1] {-} rev_nat(A)!=nil_nat|A=nil_nat.
% 0.19/0.49 Following clause subsumed by 148 during input processing: 0 [flip.1] {-} rev_nat(A)=nil_nat|A!=nil_nat.
% 0.19/0.49 Following clause subsumed by 171 during input processing: 0 [] {-} -is_Arr723427730le_alt(A)|B!=nil_Ar1135217151le_alt|last_A1066338328le_alt(cons_A77766063le_alt(A,B))=A.
% 0.19/0.49 Following clause subsumed by 172 during input processing: 0 [] {-} A!=nil_nat|last_nat(cons_nat(B,A))=B.
% 0.19/0.49 Following clause subsumed by 174 during input processing: 0 [] {-} A!=nil_Ar1135217151le_alt|last_A1066338328le_alt(append28105492le_alt(B,A))=last_A1066338328le_alt(B).
% 0.19/0.49 Following clause subsumed by 175 during input processing: 0 [] {-} A!=nil_nat|last_nat(append_nat(B,A))=last_nat(B).
% 0.19/0.49 Following clause subsumed by 143 during input processing: 0 [] {-} -hBOOL(hAPP_l300482276t_bool(hAPP_l2066632447t_bool(equal_732151074le_alt,A),B))|A=B.
% 0.19/0.49 Following clause subsumed by 144 during input processing: 0 [] {-} hBOOL(hAPP_l300482276t_bool(hAPP_l2066632447t_bool(equal_732151074le_alt,A),B))|A!=B.
% 0.19/0.49 Following clause subsumed by 205 during input processing: 0 [] {-} hAPP_A1849759038le_alt(replic1360561849le_alt(A),B)!=nil_Ar1135217151le_alt|A=zero_zero_nat.
% 0.19/0.49 Following clause subsumed by 207 during input processing: 0 [] {-} hAPP_A1849759038le_alt(replic1360561849le_alt(A),B)=nil_Ar1135217151le_alt|A!=zero_zero_nat.
% 0.19/0.49 Following clause subsumed by 209 during input processing: 0 [] {-} hAPP_nat_list_nat(replicate_nat(A),B)!=nil_nat|A=zero_zero_nat.
% 0.19/0.49 Following clause subsumed by 211 during input processing: 0 [] {-} hAPP_nat_list_nat(replicate_nat(A),B)=nil_nat|A!=zero_zero_nat.
% 0.19/0.49 Following clause subsumed by 299 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(bot_bot_fun_nat_bool,A))|hBOOL(bot_bot_bool).
% 0.19/0.49 Following clause subsumed by 300 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(bot_bot_fun_nat_bool,A))| -hBOOL(bot_bot_bool).
% 0.19/0.49 Following clause subsumed by 297 during input processing: 0 [] {-} -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,A),bot_bot_fun_int_bool)).
% 0.19/0.49 Following clause subsumed by 298 during input processing: 0 [] {-} -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A),bot_bot_fun_nat_bool)).
% 0.19/0.49 Following clause subsumed by 335 during input processing: 0 [flip.1] {-} collect_nat(A)!=bot_bot_fun_nat_bool| -hBOOL(hAPP_nat_bool(A,B)).
% 0.19/0.49 Following clause subsumed by 333 during input processing: 0 [] {-} -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,A),B))|B!=bot_bot_fun_int_bool.
% 0.19/0.49 Following clause subsumed by 334 during input processing: 0 [] {-} -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A),B))|B!=bot_bot_fun_nat_bool.
% 0.19/0.49 Following clause subsumed by 333 during input processing: 0 [] {-} -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,A),B))|B!=bot_bot_fun_int_bool.
% 0.19/0.49 Following clause subsumed by 334 during input processing: 0 [] {-} -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A),B))|B!=bot_bot_fun_nat_bool.
% 0.19/0.49 Following clause subsumed by 341 during input processing: 0 [] {-} A!=B| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B)).
% 0.19/0.49 Following clause subsumed by 342 during input processing: 0 [] {-} A!=B| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),A)).
% 0.19/0.49 Following clause subsumed by 343 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),A)).
% 0.19/0.49 Following clause subsumed by 340 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),zero_zero_nat)).
% 0.19/0.49 Following clause subsumed by 344 during input processing: 0 [] {-} A!=zero_zero_nat| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A)).
% 0.19/0.49 Following clause subsumed by 340 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),zero_zero_nat)).
% 0.19/0.49 Following clause subsumed by 343 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),A)).
% 0.19/0.49 Following clause subsumed by 341 during input processing: 0 [] {-} A!=B| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B)).
% 0.19/0.49 Following clause subsumed by 342 during input processing: 0 [] {-} A!=B| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),A)).
% 0.19/0.49 Following clause subsumed by 347 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))|A!=B.
% 0.19/0.49 Following clause subsumed by 341 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|A!=B.
% 0.19/0.49 Following clause subsumed by 347 during input processing: 0 [] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),A))|B!=A.
% 0.19/0.49 Following clause subsumed by 341 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.
% 0.19/0.49 Following clause subsumed by 347 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))|A!=B.
% 0.19/0.49 Following clause subsumed by 341 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|A!=B.
% 0.19/0.49 Following clause subsumed by 349 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),A)).
% 0.19/0.49 Following clause subsumed by 350 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)).
% 0.19/0.49 Following clause subsumed by 349 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),A)).
% 0.19/0.49 Following clause subsumed by 352 during input processing: 0 [] {-} -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,A),B))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,B),A)).
% 0.19/0.49 Following clause subsumed by 350 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)).
% 0.19/0.49 Following clause subsumed by 347 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))|A!=B.
% 0.19/0.49 Following clause subsumed by 351 during input processing: 0 [] {-} -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,A),B))|A!=B.
% 0.19/0.49 Following clause subsumed by 341 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|A!=B.
% 0.19/0.49 Following clause subsumed by 348 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))|B!=A.
% 0.19/0.49 Following clause subsumed by 342 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|B!=A.
% 0.19/0.49 Following clause subsumed by 349 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),A))|hBOOL(C).
% 0.19/0.49 Following clause subsumed by 352 during input processing: 0 [] {-} -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,A),B))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,B),A))|hBOOL(C).
% 0.19/0.49 Following clause subsumed by 350 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).
% 0.19/0.49 Following clause subsumed by 349 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),A)).
% 0.19/0.49 Following clause subsumed by 352 during input processing: 0 [] {-} -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,A),B))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,B),A)).
% 0.19/0.49 Following clause subsumed by 350 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)).
% 0.19/0.49 Following clause subsumed by 349 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),A)).
% 0.19/0.49 Following clause subsumed by 352 during input processing: 0 [] {-} -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,A),B))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,B),A)).
% 0.19/0.49 Following clause subsumed by 350 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)).
% 0.19/0.49 Following clause subsumed by 366 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C),A))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C),B)).
% 0.19/0.49 Following clause subsumed by 367 during input processing: 0 [] {-} -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,A),B))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,C),A))|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,C),B)).
% 0.19/0.49 Following clause subsumed by 368 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),A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,C),B)).
% 0.19/0.49 Following clause subsumed by 349 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),A)).
% 0.19/0.49 Following clause subsumed by 352 during input processing: 0 [] {-} -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,A),B))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,B),A)).
% 0.19/0.49 Following clause subsumed by 350 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)).
% 0.19/0.49 Following clause subsumed by 342 during input processing: 0 [] {-} A!=bot_bot_nat| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,bot_bot_nat),A)).
% 0.19/0.49 Following clause subsumed by 353 during input processing: 0 [] {-} A!=bot_bot_fun_nat_bool| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,bot_bot_fun_nat_bool),A)).
% 0.19/0.49 Following clause subsumed by 389 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),hAPP_int_int(hAPP_int_fun_int_int(ord_max_int,B),C))).
% 0.19/0.49 Following clause subsumed by 392 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))).
% 0.19/0.49 Following clause subsumed by 390 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),hAPP_int_int(hAPP_int_fun_int_int(ord_max_int,C),B))).
% 0.19/0.49 Following clause subsumed by 393 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))).
% 0.19/0.49 Following clause subsumed by 278 during input processing: 0 [] {-} A!=B|size_s2106320494le_alt(A)=size_s2106320494le_alt(B).
% 0.19/0.49 Following clause subsumed by 421 during input processing: 0 [] {-} -hBOOL(hAPP_list_nat_bool(distinct_nat,A))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),size_size_list_nat(A)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,C),size_size_list_nat(A)))|hAPP_nat_nat(nth_nat(A),B)!=hAPP_nat_nat(nth_nat(A),C)|B=C.
% 0.19/0.49 Following clause subsumed by 423 during input processing: 0 [] {-} -hBOOL(hAPP_l300482276t_bool(distin85347314le_alt,A))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),size_s2106320494le_alt(A)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,C),size_s2106320494le_alt(A)))|hAPP_n1410269210le_alt(nth_Ar2122385664le_alt(A),B)!=hAPP_n1410269210le_alt(nth_Ar2122385664le_alt(A),C)|B=C.
% 0.19/0.49 Following clause subsumed by 455 during input processing: 0 [] {-} hAPP_nat_nat(suc,A)!=hAPP_nat_nat(suc,B)|A=B.
% 0.19/0.49 Following clause subsumed by 464 during input processing: 0 [flip.1] {-} hAPP_nat_nat(suc,A)!=A.
% 0.19/0.49 Following clause subsumed by 465 during input processing: 0 [flip.1] {-} 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.
% 0.19/0.49 Following clause subsumed by 466 during input processing: 0 [flip.1] {-} 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).
% 0.19/0.49 Following clause subsumed by 467 during input processing: 0 [flip.1] {-} 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.
% 0.19/0.49 Following clause subsumed by 468 during input processing: 0 [flip.1] {-} 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).
% 0.19/0.49 Following clause subsumed by 469 during input processing: 0 [flip.1] {-} 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.
% 0.19/0.49 Following clause subsumed by 470 during input processing: 0 [flip.1] {-} 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).
% 0.19/0.49 Following clause subsumed by 456 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.
% 0.19/0.49 Following clause subsumed by 458 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.
% 0.19/0.49 Following clause subsumed by 458 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.
% 0.19/0.49 Following clause subsumed by 472 during input processing: 0 [] {-} hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),B)!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),C)|B=C.
% 0.19/0.49 Following clause subsumed by 456 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.
% 0.19/0.49 Following clause subsumed by 457 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.
% 0.19/0.49 Following clause subsumed by 471 during input processing: 0 [] {-} hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),B)!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C),B)|A=C.
% 0.19/0.49 Following clause subsumed by 458 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.
% 0.19/0.49 Following clause subsumed by 459 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.
% 0.19/0.49 Following clause subsumed by 472 during input processing: 0 [] {-} hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),B)!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),C)|B=C.
% 0.19/0.49 Following clause subsumed by 479 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)).
% 0.19/0.49 Following clause subsumed by 485 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)).
% 0.19/0.49 Following clause subsumed by 480 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),B)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),C)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),C)).
% 0.19/0.49 Following clause subsumed by 486 during input processing: 0 [] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),B)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),C)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),C)).
% 0.19/0.49 Following clause subsumed by 481 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)).
% 0.19/0.49 Following clause subsumed by 487 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)).
% 0.19/0.49 Following clause subsumed by 482 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),B)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C),B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),C)).
% 0.19/0.49 Following clause subsumed by 488 during input processing: 0 [] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),B)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C),B)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),C)).
% 0.19/0.49 Following clause subsumed by 490 during input processing: 0 [flip.1] {-} hAPP_nat_nat(suc,A)!=zero_zero_nat.
% 0.19/0.49 Following clause subsumed by 490 during input processing: 0 [] {-} hAPP_nat_nat(suc,A)!=zero_zero_nat.
% 0.19/0.49 Following clause subsumed by 490 during input processing: 0 [] {-} hAPP_nat_nat(suc,A)!=zero_zero_nat.
% 0.19/0.49 Following clause subsumed by 490 during input processing: 0 [flip.1] {-} hAPP_nat_nat(suc,A)!=zero_zero_nat.
% 0.19/0.49 Following clause subsumed by 490 during input processing: 0 [] {-} hAPP_nat_nat(suc,A)!=zero_zero_nat.
% 0.19/0.49 Following clause subsumed by 454 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)).
% 0.19/0.49 Following clause subsumed by 492 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.
% 0.19/0.49 Following clause subsumed by 494 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.
% 0.19/0.49 Following clause subsumed by 493 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))).
% 0.19/0.49 Following clause subsumed by 492 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.
% 0.19/0.49 Following clause subsumed by 495 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)).
% 0.19/0.49 Following clause subsumed by 383 during input processing: 0 [] {-} -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,A),bot_bot_fun_nat_bool)).
% 0.19/0.49 Following clause subsumed by 479 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)).
% 0.19/0.49 Following clause subsumed by 485 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)).
% 0.19/0.49 Following clause subsumed by 487 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))).
% 0.19/0.49 Following clause subsumed by 483 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))).
% 0.19/0.49 Following clause subsumed by 506 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))).
% 0.19/0.49 Following clause subsumed by 340 during input processing: 0 [unit_del,340,factor_simp] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),zero_zero_nat)).
% 0.19/0.49 Following clause subsumed by 494 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.
% 0.19/0.49 Following clause subsumed by 506 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)).
% 0.19/0.49 Following clause subsumed by 507 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)).
% 0.19/0.49 Following clause subsumed by 520 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),A)),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),zero_zero_int)).
% 0.19/0.49 Following clause subsumed by 521 during input processing: 0 [] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),A)),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),zero_zero_int)).
% 0.19/0.49 Following clause subsumed by 507 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))).
% 0.19/0.49 Following clause subsumed by 476 during input processing: 0 [] {-} hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),A)!=zero_zero_int|A=zero_zero_int.
% 0.19/0.49 Following clause subsumed by 478 during input processing: 0 [] {-} hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),A)=zero_zero_int|A!=zero_zero_int.
% 0.19/0.49 Following clause subsumed by 506 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))).
% 0.19/0.49 Following clause subsumed by 507 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))).
% 0.19/0.49 Following clause subsumed by 503 during input processing: 0 [flip.1] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),B)!=A|B=zero_zero_nat.
% 0.19/0.49 Following clause subsumed by 609 during input processing: 0 [] {-} hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,A),B)!=zero_zero_int|A=B.
% 0.19/0.49 Following clause subsumed by 608 during input processing: 0 [] {-} hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,A),B)=zero_zero_int|A!=B.
% 0.19/0.49 Following clause subsumed by 613 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)).
% 0.19/0.49 Following clause subsumed by 614 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)).
% 0.19/0.49 Following clause subsumed by 369 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),size_s2106320494le_alt(B)))|hAPP_A1849759038le_alt(list_u2058984551le_alt(append28105492le_alt(B,C),A),D)=append28105492le_alt(hAPP_A1849759038le_alt(list_u2058984551le_alt(B,A),D),C).
% 0.19/0.49 Following clause subsumed by 340 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),zero_zero_nat)).
% 0.19/0.49 Following clause subsumed by 631 during input processing: 0 [] {-} zero_zero_nat!=one_one_nat.
% 0.19/0.49 Following clause subsumed by 633 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A))|hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,A),one_one_nat))=A.
% 0.19/0.49 Following clause subsumed by 573 during input processing: 0 [] {-} A!=zero_zero_nat|take_A463070695le_alt(A,cons_A77766063le_alt(B,C))=nil_Ar1135217151le_alt.
% 0.19/0.49 Following clause subsumed by 573 during input processing: 0 [] {-} number_number_of_nat(A)!=zero_zero_nat|take_A463070695le_alt(number_number_of_nat(A),cons_A77766063le_alt(B,C))=nil_Ar1135217151le_alt.
% 0.19/0.49 Following clause subsumed by 644 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)).
% 0.19/0.49 Following clause subsumed by 643 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)).
% 0.19/0.49 Following clause subsumed by 643 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)).
% 0.19/0.49 Following clause subsumed by 644 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)).
% 0.19/0.50 Following clause subsumed by 645 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)).
% 0.19/0.50 559 back subsumes 522.
% 0.19/0.50
% 0.19/0.50 ------------> process sos:
% 0.19/0.50 Following clause subsumed by 870 during input processing: 0 [] {-} A=nil_nat|last_nat(cons_nat(B,A))=last_nat(A).
% 0.19/0.50 Following clause subsumed by 871 during input processing: 0 [] {-} A=nil_Ar1135217151le_alt|last_A1066338328le_alt(append28105492le_alt(B,A))=last_A1066338328le_alt(A).
% 0.19/0.50 Following clause subsumed by 872 during input processing: 0 [] {-} A=nil_nat|last_nat(append_nat(B,A))=last_nat(A).
% 0.19/0.50 Following clause subsumed by 883 during input processing: 0 [] {-} A=nil_Ar1135217151le_alt|hd_Arr1814706386le_alt(append28105492le_alt(A,B))=hd_Arr1814706386le_alt(A).
% 0.19/0.50 Following clause subsumed by 884 during input processing: 0 [] {-} A=nil_nat|hd_nat(append_nat(A,B))=hd_nat(A).
% 0.19/0.50 Following clause subsumed by 986 during input processing: 0 [] {-} hAPP_int_int(hAPP_int_fun_int_int(ord_max_int,A),hAPP_int_int(hAPP_int_fun_int_int(ord_max_int,B),C))=hAPP_int_int(hAPP_int_fun_int_int(ord_max_int,B),hAPP_int_int(hAPP_int_fun_int_int(ord_max_int,A),C)).
% 0.19/0.50 Following clause subsumed by 987 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)).
% 0.19/0.50 Following clause subsumed by 992 during input processing: 0 [] {-} hAPP_int_int(hAPP_int_fun_int_int(ord_max_int,A),B)=hAPP_int_int(hAPP_int_fun_int_int(ord_max_int,B),A).
% 0.19/0.50 Following clause subsumed by 993 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).
% 0.19/0.50 Following clause subsumed by 1003 during input processing: 0 [demod,991] {-} A=A.
% 0.19/0.50 Following clause subsumed by 1015 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)).
% 0.19/0.50 Following clause subsumed by 1015 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)).
% 0.19/0.50 Following clause subsumed by 1016 during input processing: 0 [] {-} A=zero_zero_nat|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A)).
% 0.19/0.50 Following clause subsumed by 1015 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)).
% 0.19/0.50 Following clause subsumed by 1017 during input processing: 0 [] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),A))|A=B.
% 0.19/0.50 Following clause subsumed by 1015 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.
% 0.19/0.50 Following clause subsumed by 1017 during input processing: 0 [] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))|A=B|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),A)).
% 0.19/0.50 Following clause subsumed by 1015 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)).
% 0.19/0.50 Following clause subsumed by 1017 during input processing: 0 [] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),A))|B=A.
% 0.19/0.50 Following clause subsumed by 1015 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.
% 0.19/0.51 Following clause subsumed by 1017 during input processing: 0 [] {-} A=B|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),A)).
% 0.19/0.51 Following clause subsumed by 1015 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)).
% 0.19/0.51 Following clause subsumed by 1017 during input processing: 0 [] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))|A=B|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),A)).
% 0.19/0.51 Following clause subsumed by 1015 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)).
% 0.19/0.51 Following clause subsumed by 1003 during input processing: 0 [demod,1027] {-} nil_nat=nil_nat.
% 0.19/0.51 Following clause subsumed by 1003 during input processing: 0 [demod,1029] {-} nil_Ar1135217151le_alt=nil_Ar1135217151le_alt.
% 0.19/0.51 Following clause subsumed by 1003 during input processing: 0 [demod,1040] {-} drop_A1195732799le_alt(A,butlas123970891le_alt(B))=drop_A1195732799le_alt(A,butlas123970891le_alt(B)).
% 0.19/0.51 Following clause subsumed by 1003 during input processing: 0 [demod,1042] {-} drop_A1195732799le_alt(A,tl_Arr314474198le_alt(B))=drop_A1195732799le_alt(A,tl_Arr314474198le_alt(B)).
% 0.19/0.51 Following clause subsumed by 1003 during input processing: 0 [demod,1070] {-} 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)).
% 0.19/0.51 Following clause subsumed by 1003 during input processing: 0 [demod,1065] {-} 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)).
% 0.19/0.51 Following clause subsumed by 1003 during input processing: 0 [demod,1055,1079] {-} A=A.
% 0.19/0.51 Following clause subsumed by 1003 during input processing: 0 [demod,1081] {-} A=A.
% 0.19/0.51 Following clause subsumed by 1003 during input processing: 0 [demod,1055,1084] {-} A=A.
% 0.19/0.51 Following clause subsumed by 1003 during input processing: 0 [demod,1086] {-} A=A.
% 0.19/0.51 Following clause subsumed by 1003 during input processing: 0 [demod,1055,1084] {-} A=A.
% 0.19/0.51 Following clause subsumed by 1003 during input processing: 0 [demod,1055,1079] {-} A=A.
% 0.19/0.51 Following clause subsumed by 1003 during input processing: 0 [demod,1086] {-} A=A.
% 0.19/0.51 Following clause subsumed by 1003 during input processing: 0 [demod,1055,1084] {-} A=A.
% 0.19/0.51 Following clause subsumed by 1003 during input processing: 0 [demod,1081] {-} A=A.
% 0.19/0.51 Following clause subsumed by 1003 during input processing: 0 [demod,1055,1079] {-} A=A.
% 0.19/0.51 Following clause subsumed by 1003 during input processing: 0 [demod,1076] {-} hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B),C))=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B),C)).
% 0.19/0.51 Following clause subsumed by 1003 during input processing: 0 [demod,1065] {-} 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)).
% 0.19/0.51 Following clause subsumed by 1003 during input processing: 0 [demod,1076] {-} hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B),C))=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B),C)).
% 0.19/0.51 Following clause subsumed by 1003 during input processing: 0 [demod,1065] {-} 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)).
% 0.19/0.51 Following clause subsumed by 1071 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)).
% 0.19/0.51 Following clause subsumed by 1072 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).
% 0.19/0.51 Following clause subsumed by 1003 during input processing: 0 [demod,1167,1070,1198,1167] {-} 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,B),C)).
% 0.19/0.51 Following clause subsumed by 1061 during input processing: 0 [demod,1231] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),hAPP_nat_nat(suc,A))).
% 0.19/0.51 Following clause subsumed by 1063 during input processing: 0 [demod,1055,1231] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,bot_bot_nat),hAPP_nat_nat(suc,one_one_nat))).
% 0.19/0.51 Following clause subsumed by 1260 during input processing: 0 [demod,1055] {-} number_number_of_nat(A)=bot_bot_nat|take_A463070695le_alt(number_number_of_nat(A),cons_A77766063le_alt(B,C))=cons_A77766063le_alt(B,take_A463070695le_alt(hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,number_number_of_nat(A)),one_one_nat),C)).
% 0.19/0.51 Following clause subsumed by 1003 during input processing: 0 [] {-} A=A.
% 0.19/0.51 Following clause subsumed by 1003 during input processing: 0 [copy,826,flip.1] {-} append28105492le_alt(A,cons_A77766063le_alt(B,nil_Ar1135217151le_alt))=append28105492le_alt(A,cons_A77766063le_alt(B,nil_Ar1135217151le_alt)).
% 0.19/0.51 Following clause subsumed by 1003 during input processing: 0 [copy,828,flip.1] {-} nil_Ar1135217151le_alt=nil_Ar1135217151le_alt.
% 0.19/0.51 Following clause subsumed by 864 during input processing: 0 [copy,864,flip.1] {-} append28105492le_alt(hAPP_A1849759038le_alt(replic1360561849le_alt(A),B),hAPP_A1849759038le_alt(replic1360561849le_alt(C),B))=append28105492le_alt(hAPP_A1849759038le_alt(replic1360561849le_alt(C),B),hAPP_A1849759038le_alt(replic1360561849le_alt(A),B)).
% 0.19/0.51 869 back subsumes 173.
% 0.19/0.51 Following clause subsumed by 1003 during input processing: 0 [copy,882,flip.1] {-} equal_732151074le_alt=equal_732151074le_alt.
% 0.19/0.51 Following clause subsumed by 1003 during input processing: 0 [copy,983,flip.1] {-} hAPP_int_int(hAPP_int_fun_int_int(ord_max_int,A),hAPP_int_int(hAPP_int_fun_int_int(ord_max_int,B),C))=hAPP_int_int(hAPP_int_fun_int_int(ord_max_int,A),hAPP_int_int(hAPP_int_fun_int_int(ord_max_int,B),C)).
% 0.19/0.51 Following clause subsumed by 1003 during input processing: 0 [copy,985,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,A),hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,B),C)).
% 0.19/0.51 Following clause subsumed by 986 during input processing: 0 [copy,986,flip.1] {-} hAPP_int_int(hAPP_int_fun_int_int(ord_max_int,A),hAPP_int_int(hAPP_int_fun_int_int(ord_max_int,B),C))=hAPP_int_int(hAPP_int_fun_int_int(ord_max_int,B),hAPP_int_int(hAPP_int_fun_int_int(ord_max_int,A),C)).
% 0.19/0.51 Following clause subsumed by 987 during input processing: 0 [copy,987,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)).
% 0.19/0.51 Following clause subsumed by 992 during input processing: 0 [copy,992,flip.1] {-} hAPP_int_int(hAPP_int_fun_int_int(ord_max_int,A),B)=hAPP_int_int(hAPP_int_fun_int_int(ord_max_int,B),A).
% 0.19/0.51 Following clause subsumed by 993 during input processing: 0 [copy,993,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).
% 0.19/0.51 Following clause subsumed by 1003 during input processing: 0 [copy,999,flip.1] {-} hAPP_int_int(hAPP_int_fun_int_int(ord_max_int,A),B)=hAPP_int_int(hAPP_int_fun_int_int(ord_max_int,A),B).
% 0.19/0.51 999 back subsumes 983.
% 0.19/0.51 Following clause subsumed by 1003 during input processing: 0 [copy,1001,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,A),B).
% 0.19/0.51 1001 back subsumes 985.
% 0.19/0.52 Following clause subsumed by 1003 during input processing: 0 [copy,1003,flip.1] {-} A=A.
% 0.19/0.52 1003 back subsumes 1001.
% 0.19/0.52 1003 back subsumes 999.
% 0.19/0.52 1003 back subsumes 882.
% 0.19/0.52 1003 back subsumes 828.
% 0.19/0.52 1003 back subsumes 826.
% 0.19/0.52 1003 back subsumes 721.
% 0.19/0.52 1003 back subsumes 718.
% 0.19/0.52 1003 back subsumes 715.
% 0.19/0.52 1003 back subsumes 702.
% 0.19/0.52 1003 back subsumes 701.
% 0.19/0.52 1003 back subsumes 700.
% 0.19/0.52 1003 back subsumes 699.
% 0.19/0.52 1003 back subsumes 680.
% 0.19/0.52 1003 back subsumes 676.
% 0.19/0.52 1003 back subsumes 673.
% 0.19/0.52 1003 back subsumes 659.
% 0.19/0.52 1036 back subsumes 371.
% 0.19/0.52 1037 back subsumes 373.
% 0.19/0.52 Following clause subsumed by 1071 during input processing: 0 [copy,1071,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)).
% 0.19/0.52 Following clause subsumed by 1072 during input processing: 0 [copy,1072,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).
% 0.19/0.52 Following clause subsumed by 1150 during input processing: 0 [copy,1150,flip.1] {-} hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C),D)))=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B),D))).
% 0.19/0.52 Following clause subsumed by 1152 during input processing: 0 [copy,1152,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))).
% 0.19/0.52 Following clause subsumed by 1154 during input processing: 0 [copy,1154,flip.1] {-} hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B),C))=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C),B)).
% 0.19/0.52 Following clause subsumed by 1156 during input processing: 0 [copy,1156,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)).
% 0.19/0.52 Following clause subsumed by 1157 during input processing: 0 [copy,1157,flip.1] {-} hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B),C))=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),C)).
% 0.19/0.52 Following clause subsumed by 1158 during input processing: 0 [copy,1158,flip.1] {-} hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),B)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B),A).
% 0.19/0.52 Following clause subsumed by 1182 during input processing: 0 [copy,1182,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)).
% 0.19/0.52 Following clause subsumed by 868 during input processing: 0 [copy,1284,flip.1] {-} append28105492le_alt(hAPP_A1849759038le_alt(replic1360561849le_alt(A),B),cons_A77766063le_alt(B,C))=append28105492le_alt(hAPP_A1849759038le_alt(replic1360561849le_alt(A),B),append28105492le_alt(cons_A77766063le_alt(B,nil_Ar1135217151le_alt),C)).
% 0.19/0.52 Following clause subsumed by 952 during input processing: 0 [copy,1287,flip.1] {-} hAPP_nat_nat(foldr_nat_nat(A,cons_nat(B,C)),D)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(A,B),hAPP_nat_nat(foldr_nat_nat(A,C),D)).
% 0.19/0.52 Following clause subsumed by 1088 during input processing: 0 [copy,1390,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)).
% 0.19/0.52 Following clause subsumed by 1089 during input processing: 0 [copy,1391,flip.1] {-} hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(ord_max_int,A),B)),C)=hAPP_int_int(hAPP_int_fun_int_int(ord_max_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),C)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B),C)).
% 0.19/0.52 Following clause subsumed by 1116 during input processing: 0 [copy,1392,flip.1] {-} drop_A1195732799le_alt(hAPP_nat_nat(suc,A),B)=drop_A1195732799le_alt(A,tl_Arr314474198le_alt(B)).
% 0.19/0.52 Following clause subsumed by 1183 during input processing: 0 [copy,1394,flip.1] {-} hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_int_int(hAPP_int_fun_int_int(ord_max_int,A),B)),C)=hAPP_int_int(hAPP_int_fun_int_int(ord_max_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,A),C)),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,B),C)).
% 0.19/0.52 Following clause subsumed by 1213 during input processing: 0 [copy,1396,flip.1] {-} rev_Ar955429983le_alt(drop_A1195732799le_alt(A,B))=take_A463070695le_alt(hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,size_s2106320494le_alt(B)),A),rev_Ar955429983le_alt(B)).
% 0.19/0.52 Following clause subsumed by 1214 during input processing: 0 [copy,1397,flip.1] {-} rev_Ar955429983le_alt(take_A463070695le_alt(A,B))=drop_A1195732799le_alt(hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,size_s2106320494le_alt(B)),A),rev_Ar955429983le_alt(B)).
% 0.19/0.52 Following clause subsumed by 1278 during input processing: 0 [copy,1407,flip.1] {-} hAPP_n1006566506l_bool(cOMBB_1015721476ol_nat(A,B),C)=hAPP_b589554111l_bool(A,hAPP_nat_bool(B,C)).
% 0.19/0.52
% 0.19/0.52 ======= end of input processing =======
% 0.19/0.52
% 0.19/0.52 SEGMENTATION FAULT!! This is probably caused by a
% 0.19/0.52 bug in Otter. Please send copy of the input file to
% 0.19/0.52 otter@mcs.anl.gov, let us know what version of Otter you are
% 0.19/0.52 using, and send any other info that might be useful.
% 0.19/0.52
% 0.19/0.52
% 0.19/0.52 SEGMENTATION FAULT!! This is probably caused by a
% 0.19/0.52 bug in Otter. Please send copy of the input file to
% 0.19/0.52 otter@mcs.anl.gov, let us know what version of Otter you are
% 0.19/0.52 using, and send any other info that might be useful.
% 0.19/0.52
% 0.19/0.52
% 0.19/0.52 The job finished Sat Jul 2 04:45:10 2022
%------------------------------------------------------------------------------