%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : SCT171+7 : TPTP v8.1.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n006.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 22:12:35 EDT 2022
% Result : Unknown 0.92s 1.13s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SCT171+7 : TPTP v8.1.0. Released v5.3.0.
% 0.11/0.12 % Command : sos-script %s
% 0.13/0.33 % Computer : n006.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 06:30:07 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.55/0.76 ----- Otter 3.2, August 2001 -----
% 0.55/0.76 The process was started by sandbox on n006.cluster.edu,
% 0.55/0.76 Sat Jul 2 06:30:08 2022
% 0.55/0.76 The command was "./sos". The process ID is 23839.
% 0.55/0.76
% 0.55/0.76 set(prolog_style_variables).
% 0.55/0.76 set(auto).
% 0.55/0.76 dependent: set(auto1).
% 0.55/0.76 dependent: set(process_input).
% 0.55/0.76 dependent: clear(print_kept).
% 0.55/0.76 dependent: clear(print_new_demod).
% 0.55/0.76 dependent: clear(print_back_demod).
% 0.55/0.76 dependent: clear(print_back_sub).
% 0.55/0.76 dependent: set(control_memory).
% 0.55/0.76 dependent: assign(max_mem, 12000).
% 0.55/0.76 dependent: assign(pick_given_ratio, 4).
% 0.55/0.76 dependent: assign(stats_level, 1).
% 0.55/0.76 dependent: assign(pick_semantic_ratio, 3).
% 0.55/0.76 dependent: assign(sos_limit, 5000).
% 0.55/0.76 dependent: assign(max_weight, 60).
% 0.55/0.76 clear(print_given).
% 0.55/0.76
% 0.55/0.76 formula_list(usable).
% 0.55/0.76
% 0.55/0.76 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=10.
% 0.55/0.76
% 0.55/0.76 This ia a non-Horn set with equality. The strategy will be
% 0.55/0.76 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.55/0.76 unit deletion, with positive clauses in sos and nonpositive
% 0.55/0.76 clauses in usable.
% 0.55/0.76
% 0.55/0.76 dependent: set(knuth_bendix).
% 0.55/0.76 dependent: set(para_from).
% 0.55/0.76 dependent: set(para_into).
% 0.55/0.76 dependent: clear(para_from_right).
% 0.55/0.76 dependent: clear(para_into_right).
% 0.55/0.76 dependent: set(para_from_vars).
% 0.55/0.76 dependent: set(eq_units_both_ways).
% 0.55/0.76 dependent: set(dynamic_demod_all).
% 0.55/0.76 dependent: set(dynamic_demod).
% 0.55/0.76 dependent: set(order_eq).
% 0.55/0.76 dependent: set(back_demod).
% 0.55/0.76 dependent: set(lrpo).
% 0.55/0.76 dependent: set(hyper_res).
% 0.55/0.76 dependent: set(unit_deletion).
% 0.55/0.76 dependent: set(factor).
% 0.55/0.76
% 0.55/0.76 ------------> process usable:
% 0.55/0.76 Following clause subsumed by 72 during input processing: 0 [] {-} hAPP(A,product_prod(B,A),hAPP(B,fun(A,product_prod(B,A)),product_Pair(B,A),C),D)!=hAPP(A,product_prod(B,A),hAPP(B,fun(A,product_prod(B,A)),product_Pair(B,A),E),F)|ti(B,C)=ti(B,E).
% 0.55/0.76 Following clause subsumed by 73 during input processing: 0 [] {-} hAPP(A,product_prod(B,A),hAPP(B,fun(A,product_prod(B,A)),product_Pair(B,A),C),D)!=hAPP(A,product_prod(B,A),hAPP(B,fun(A,product_prod(B,A)),product_Pair(B,A),E),F)|ti(A,D)=ti(A,F).
% 0.55/0.76 Following clause subsumed by 95 during input processing: 0 [] {-} -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(arrow_1998540521e_indi,nat,h,A)),n))|hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),e),d)),hAPP(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),arrow_1770777252_mktop,hAPP(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),p,A)),e)))| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),b),a)),lab)).
% 0.55/0.76 Following clause subsumed by 112 during input processing: 0 [] {-} -preorder(A)| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),B),C))| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),C),B)).
% 0.55/0.76 Following clause subsumed by 112 during input processing: 0 [] {-} -preorder(A)| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),B),C))| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),C),B))|hBOOL(D).
% 0.55/0.76 Following clause subsumed by 112 during input processing: 0 [] {-} -preorder(A)| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),B),C))| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),C),B)).
% 0.55/0.76 Following clause subsumed by 112 during input processing: 0 [] {-} -preorder(A)| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),B),C))| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),C),B)).
% 0.55/0.76 Following clause subsumed by 121 during input processing: 0 [] {-} -order(A)| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),B),C))|ti(A,B)!=ti(A,C).
% 0.55/0.76 Following clause subsumed by 111 during input processing: 0 [] {-} -linorder(A)|ti(A,B)=ti(A,C)|hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),B),C))|hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),C),B)).
% 0.55/0.76 Following clause subsumed by 111 during input processing: 0 [] {-} -linorder(A)|hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),B),C))|hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),C),B))|ti(A,C)=ti(A,B).
% 0.55/0.76 Following clause subsumed by 111 during input processing: 0 [] {-} -linorder(A)|hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),B),C))|ti(A,B)=ti(A,C)|hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),C),B)).
% 0.55/0.76 Following clause subsumed by 111 during input processing: 0 [] {-} -linorder(A)|hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),B),C))|hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),C),B))|ti(A,B)=ti(A,C).
% 0.55/0.76 Following clause subsumed by 111 during input processing: 0 [] {-} -linorder(A)|ti(A,B)=ti(A,C)|hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),B),C))|hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),C),B)).
% 0.55/0.76 Following clause subsumed by 124 during input processing: 0 [] {-} -linorder(A)|ti(A,B)!=ti(A,C)| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),B),C)).
% 0.55/0.76 Following clause subsumed by 94 during input processing: 0 [] {-} -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(arrow_1998540521e_indi,nat,h,A)),n))|hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),c),e)),hAPP(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),arrow_1770777252_mktop,hAPP(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),p,A)),e)))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(arrow_1998540521e_indi,nat,h,A)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),n),one_one(nat))))| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),a),b)),lba)).
% 0.55/0.76 Following clause subsumed by 94 during input processing: 0 [] {-} -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(arrow_1998540521e_indi,nat,h,A)),n))|hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),c),e)),hAPP(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),arrow_1770777252_mktop,hAPP(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),p,A)),e)))| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),a),b)),lab))| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),a),b)),lba)).
% 0.55/0.76 Following clause subsumed by 94 during input processing: 0 [] {-} hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(arrow_1998540521e_indi,nat,h,A)),n))|hAPP(arrow_1998540521e_indi,nat,h,A)!=n|hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),c),e)),hAPP(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),arrow_357225482_above,hAPP(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),p,A)),c),e)))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(arrow_1998540521e_indi,nat,h,A)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),n),one_one(nat))))| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),a),b)),lba)).
% 0.55/0.77 Following clause subsumed by 94 during input processing: 0 [] {-} hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(arrow_1998540521e_indi,nat,h,A)),n))|hAPP(arrow_1998540521e_indi,nat,h,A)!=n|hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),c),e)),hAPP(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool))),arrow_357225482_above,hAPP(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),p,A)),c),e)))| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),a),b)),lab))| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),a),b)),lba)).
% 0.55/0.77 Following clause subsumed by 94 during input processing: 0 [] {-} hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(arrow_1998540521e_indi,nat,h,A)),n))|hAPP(arrow_1998540521e_indi,nat,h,A)=n|hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),c),e)),hAPP(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),arrow_1622070166_mkbot,hAPP(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),p,A)),e)))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(arrow_1998540521e_indi,nat,h,A)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),n),one_one(nat))))| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),a),b)),lba)).
% 0.55/0.77 Following clause subsumed by 94 during input processing: 0 [] {-} hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(arrow_1998540521e_indi,nat,h,A)),n))|hAPP(arrow_1998540521e_indi,nat,h,A)=n|hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),c),e)),hAPP(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),fun(arrow_2142409994le_alt,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool)),arrow_1622070166_mkbot,hAPP(arrow_1998540521e_indi,fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),p,A)),e)))| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),a),b)),lab))| -hBOOL(hAPP(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool,hAPP(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),fun(fun(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),bool),bool),member(product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),hAPP(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt),hAPP(arrow_2142409994le_alt,fun(arrow_2142409994le_alt,product_prod(arrow_2142409994le_alt,arrow_2142409994le_alt)),product_Pair(arrow_2142409994le_alt,arrow_2142409994le_alt),a),b)),lba)).
% 0.55/0.77 Following clause subsumed by 203 during input processing: 0 [] {-} -order(A)| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less_eq(A),B),C))| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less_eq(A),C),B))|ti(A,B)=ti(A,C).
% 0.55/0.77 Following clause subsumed by 203 during input processing: 0 [] {-} -order(A)| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less_eq(A),B),C))| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less_eq(A),C),B))|ti(A,C)=ti(A,B).
% 0.55/0.77 Following clause subsumed by 201 during input processing: 0 [] {-} -ord(A)| -hBOOL(hAPP(fun(B,A),bool,hAPP(fun(B,A),fun(fun(B,A),bool),ord_less_eq(fun(B,A)),C),D))|hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less_eq(A),hAPP(B,A,C,E)),hAPP(B,A,D,E))).
% 0.55/0.77 Following clause subsumed by 203 during input processing: 0 [] {-} -order(A)|ti(A,B)=ti(A,C)| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less_eq(A),B),C))| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less_eq(A),C),B)).
% 0.55/0.77 Following clause subsumed by 200 during input processing: 0 [] {-} -linorder(A)|hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less_eq(A),B),C))|hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less_eq(A),C),B)).
% 0.55/0.77 Following clause subsumed by 201 during input processing: 0 [] {-} -ord(A)| -hBOOL(hAPP(fun(B,A),bool,hAPP(fun(B,A),fun(fun(B,A),bool),ord_less_eq(fun(B,A)),C),D))|hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less_eq(A),hAPP(B,A,C,E)),hAPP(B,A,D,E))).
% 0.55/0.77 Following clause subsumed by 214 during input processing: 0 [] {-} -linorder(A)|hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less_eq(A),B),C))|hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),C),B)).
% 0.55/0.77 Following clause subsumed by 215 during input processing: 0 [] {-} -linorder(A)| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less_eq(A),B),C))| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),C),B)).
% 0.55/0.77 Following clause subsumed by 214 during input processing: 0 [] {-} -linorder(A)|hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less_eq(A),B),C))|hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),C),B)).
% 0.55/0.77 Following clause subsumed by 121 during input processing: 0 [] {-} -order(A)| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),B),C))|ti(A,B)!=ti(A,C).
% 0.55/0.77 Following clause subsumed by 217 during input processing: 0 [] {-} -order(A)| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less_eq(A),B),C))|hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),B),C))|ti(A,B)=ti(A,C).
% 0.55/0.77 Following clause subsumed by 216 during input processing: 0 [] {-} -order(A)|hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less_eq(A),B),C))| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),B),C)).
% 0.55/0.77 Following clause subsumed by 211 during input processing: 0 [] {-} -order(A)|hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less_eq(A),B),C))|ti(A,B)!=ti(A,C).
% 0.55/0.77 Following clause subsumed by 214 during input processing: 0 [] {-} -linorder(A)|hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),B),C))|hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less_eq(A),C),B)).
% 0.55/0.77 Following clause subsumed by 214 during input processing: 0 [] {-} -linorder(A)|hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less_eq(A),B),C))|hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),C),B)).
% 0.55/0.77 Following clause subsumed by 217 during input processing: 0 [] {-} -order(A)|ti(A,B)=ti(A,C)| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less_eq(A),B),C))|hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),B),C)).
% 0.55/0.77 Following clause subsumed by 215 during input processing: 0 [] {-} -linorder(A)| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less_eq(A),B),C))| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),C),B)).
% 0.55/0.77 Following clause subsumed by 218 during input processing: 0 [] {-} -preorder(A)| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),B),C))|hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less_eq(A),B),C)).
% 0.55/0.77 Following clause subsumed by 221 during input processing: 0 [] {-} -linorder(A)| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less_eq(A),B),C))|hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),B),C))|ti(A,B)=ti(A,C).
% 0.55/0.77 Following clause subsumed by 124 during input processing: 0 [] {-} -linorder(A)| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less_eq(A),B),C))| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),B),C))|ti(A,B)!=ti(A,C).
% 0.55/0.77 Following clause subsumed by 217 during input processing: 0 [] {-} -order(A)| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less_eq(A),B),C))|hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),B),C))|ti(A,B)=ti(A,C).
% 0.55/0.77 Following clause subsumed by 217 during input processing: 0 [] {-} -order(A)| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less_eq(A),B),C))|ti(A,B)=ti(A,C)|hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),B),C)).
% 0.55/0.77 Following clause subsumed by 223 during input processing: 0 [] {-} -order(A)| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less_eq(A),B),C))|ti(A,C)=ti(A,B)|hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),B),C)).
% 0.55/0.77 Following clause subsumed by 229 during input processing: 0 [] {-} -top(A)| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less_eq(A),top_top(A)),B))|ti(A,B)=top_top(A).
% 0.55/0.77 Following clause subsumed by 231 during input processing: 0 [] {-} -hBOOL(hAPP(fun(A,bool),bool,hAPP(fun(A,B),fun(fun(A,bool),bool),inj_on(A,B),C),D))|ti(A,E)=ti(A,F)| -hBOOL(hAPP(fun(A,bool),bool,hAPP(A,fun(fun(A,bool),bool),member(A),E),D))| -hBOOL(hAPP(fun(A,bool),bool,hAPP(A,fun(fun(A,bool),bool),member(A),F),D))|hAPP(A,B,C,E)!=hAPP(A,B,C,F).
% 0.55/0.77 Following clause subsumed by 231 during input processing: 0 [] {-} -hBOOL(hAPP(fun(A,bool),bool,hAPP(fun(A,B),fun(fun(A,bool),bool),inj_on(A,B),C),D))| -hBOOL(hAPP(fun(A,bool),bool,hAPP(A,fun(fun(A,bool),bool),member(A),E),D))| -hBOOL(hAPP(fun(A,bool),bool,hAPP(A,fun(fun(A,bool),bool),member(A),F),D))|hAPP(A,B,C,E)!=hAPP(A,B,C,F)|ti(A,E)=ti(A,F).
% 0.55/0.78 Following clause subsumed by 231 during input processing: 0 [] {-} -hBOOL(hAPP(fun(A,bool),bool,hAPP(fun(A,B),fun(fun(A,bool),bool),inj_on(A,B),C),D))|hAPP(A,B,C,E)!=hAPP(A,B,C,F)| -hBOOL(hAPP(fun(A,bool),bool,hAPP(A,fun(fun(A,bool),bool),member(A),E),D))| -hBOOL(hAPP(fun(A,bool),bool,hAPP(A,fun(fun(A,bool),bool),member(A),F),D))|ti(A,E)=ti(A,F).
% 0.55/0.78 Following clause subsumed by 180 during input processing: 0 [] {-} -hBOOL(hAPP(fun(fun(A,B),bool),bool,hAPP(fun(A,B),fun(fun(fun(A,B),bool),bool),member(fun(A,B)),C),hAPP(fun(A,fun(B,bool)),fun(fun(A,B),bool),hAPP(fun(A,bool),fun(fun(A,fun(B,bool)),fun(fun(A,B),bool)),pi(A,B),D),E)))| -hBOOL(hAPP(fun(A,bool),bool,hAPP(A,fun(fun(A,bool),bool),member(A),F),D))|hBOOL(hAPP(fun(B,bool),bool,hAPP(B,fun(fun(B,bool),bool),member(B),hAPP(A,B,C,F)),hAPP(A,fun(B,bool),E,F))).
% 0.55/0.78 Following clause subsumed by 236 during input processing: 0 [] {-} -hBOOL(hAPP(fun(A,bool),bool,hAPP(fun(A,B),fun(fun(A,bool),bool),inj_on(A,B),C),top_top(fun(A,bool))))|hAPP(A,B,C,D)!=hAPP(A,B,C,E)|ti(A,D)=ti(A,E).
% 0.55/0.78 Following clause subsumed by 264 during input processing: 0 [] {-} -cancel_semigroup_add(A)|hAPP(A,A,hAPP(A,fun(A,A),plus_plus(A),B),C)!=hAPP(A,A,hAPP(A,fun(A,A),plus_plus(A),D),C)|ti(A,B)=ti(A,D).
% 0.55/0.78 Following clause subsumed by 266 during input processing: 0 [] {-} -cancel_semigroup_add(A)|hAPP(A,A,hAPP(A,fun(A,A),plus_plus(A),B),C)!=hAPP(A,A,hAPP(A,fun(A,A),plus_plus(A),B),D)|ti(A,C)=ti(A,D).
% 0.55/0.78 Following clause subsumed by 272 during input processing: 0 [] {-} -ordere236663937imp_le(A)| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less_eq(A),hAPP(A,A,hAPP(A,fun(A,A),plus_plus(A),B),C)),hAPP(A,A,hAPP(A,fun(A,A),plus_plus(A),B),D)))|hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less_eq(A),C),D)).
% 0.55/0.78 Following clause subsumed by 273 during input processing: 0 [] {-} -ordere236663937imp_le(A)| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less_eq(A),hAPP(A,A,hAPP(A,fun(A,A),plus_plus(A),B),C)),hAPP(A,A,hAPP(A,fun(A,A),plus_plus(A),D),C)))|hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less_eq(A),B),D)).
% 0.55/0.78 Following clause subsumed by 279 during input processing: 0 [] {-} -ordere236663937imp_le(A)| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),hAPP(A,A,hAPP(A,fun(A,A),plus_plus(A),B),C)),hAPP(A,A,hAPP(A,fun(A,A),plus_plus(A),B),D)))|hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),C),D)).
% 0.55/0.78 Following clause subsumed by 280 during input processing: 0 [] {-} -ordere236663937imp_le(A)| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),hAPP(A,A,hAPP(A,fun(A,A),plus_plus(A),B),C)),hAPP(A,A,hAPP(A,fun(A,A),plus_plus(A),D),C)))|hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),B),D)).
% 0.55/0.78 Following clause subsumed by 305 during input processing: 0 [] {-} -hBOOL(hAPP(fun(A,bool),bool,hAPP(fun(A,bool),fun(fun(A,bool),bool),ord_less_eq(fun(A,bool)),B),C))|hBOOL(hAPP(fun(A,bool),bool,hAPP(fun(A,bool),fun(fun(A,bool),bool),ord_less(fun(A,bool)),B),C))|ti(fun(A,bool),B)=ti(fun(A,bool),C).
% 0.55/0.78 Following clause subsumed by 303 during input processing: 0 [] {-} hBOOL(hAPP(fun(A,bool),bool,hAPP(fun(A,bool),fun(fun(A,bool),bool),ord_less_eq(fun(A,bool)),B),C))| -hBOOL(hAPP(fun(A,bool),bool,hAPP(fun(A,bool),fun(fun(A,bool),bool),ord_less(fun(A,bool)),B),C)).
% 0.55/0.78 Following clause subsumed by 303 during input processing: 0 [] {-} -hBOOL(hAPP(fun(A,bool),bool,hAPP(fun(A,bool),fun(fun(A,bool),bool),ord_less(fun(A,bool)),B),C))|hBOOL(hAPP(fun(A,bool),bool,hAPP(fun(A,bool),fun(fun(A,bool),bool),ord_less_eq(fun(A,bool)),B),C)).
% 0.55/0.78 Following clause subsumed by 306 during input processing: 0 [] {-} ti(fun(A,bool),B)!=ti(fun(A,bool),C)|hBOOL(hAPP(fun(A,bool),bool,hAPP(fun(A,bool),fun(fun(A,bool),bool),ord_less_eq(fun(A,bool)),B),C)).
% 0.55/0.78 Following clause subsumed by 309 during input processing: 0 [] {-} -hBOOL(hAPP(fun(A,fun(B,bool)),bool,hAPP(fun(A,fun(B,bool)),fun(fun(A,fun(B,bool)),bool),ord_less_eq(fun(A,fun(B,bool))),C),D))| -hBOOL(hAPP(B,bool,hAPP(A,fun(B,bool),C,E),F))|hBOOL(hAPP(B,bool,hAPP(A,fun(B,bool),D,E),F)).
% 0.55/0.78 Following clause subsumed by 302 during input processing: 0 [] {-} -hBOOL(hAPP(fun(A,bool),bool,hAPP(fun(A,bool),fun(fun(A,bool),bool),ord_less_eq(fun(A,bool)),B),C))| -hBOOL(hAPP(fun(A,bool),bool,hAPP(A,fun(fun(A,bool),bool),member(A),D),B))|hBOOL(hAPP(fun(A,bool),bool,hAPP(A,fun(fun(A,bool),bool),member(A),D),C)).
% 0.55/0.78 Following clause subsumed by 302 during input processing: 0 [] {-} -hBOOL(hAPP(fun(A,bool),bool,hAPP(A,fun(fun(A,bool),bool),member(A),B),C))| -hBOOL(hAPP(fun(A,bool),bool,hAPP(fun(A,bool),fun(fun(A,bool),bool),ord_less_eq(fun(A,bool)),C),D))|hBOOL(hAPP(fun(A,bool),bool,hAPP(A,fun(fun(A,bool),bool),member(A),B),D)).
% 0.55/0.78 Following clause subsumed by 302 during input processing: 0 [] {-} -hBOOL(hAPP(fun(A,bool),bool,hAPP(fun(A,bool),fun(fun(A,bool),bool),ord_less_eq(fun(A,bool)),B),C))| -hBOOL(hAPP(fun(A,bool),bool,hAPP(A,fun(fun(A,bool),bool),member(A),D),B))|hBOOL(hAPP(fun(A,bool),bool,hAPP(A,fun(fun(A,bool),bool),member(A),D),C)).
% 0.55/0.78 Following clause subsumed by 310 during input processing: 0 [] {-} ti(fun(A,bool),B)!=ti(fun(A,bool),C)|hBOOL(hAPP(fun(A,bool),bool,hAPP(fun(A,bool),fun(fun(A,bool),bool),ord_less_eq(fun(A,bool)),C),B)).
% 0.55/0.78 Following clause subsumed by 306 during input processing: 0 [] {-} ti(fun(A,bool),B)!=ti(fun(A,bool),C)|hBOOL(hAPP(fun(A,bool),bool,hAPP(fun(A,bool),fun(fun(A,bool),bool),ord_less_eq(fun(A,bool)),B),C)).
% 0.55/0.78 Following clause subsumed by 312 during input processing: 0 [] {-} -hBOOL(hAPP(A,bool,B,C))| -hBOOL(hAPP(fun(A,bool),bool,hAPP(fun(A,bool),fun(fun(A,bool),bool),ord_less_eq(fun(A,bool)),B),D))|hBOOL(hAPP(A,bool,D,C)).
% 0.55/0.78 Following clause subsumed by 306 during input processing: 0 [] {-} ti(fun(A,bool),B)!=ti(fun(A,bool),C)|hBOOL(hAPP(fun(A,bool),bool,hAPP(fun(A,bool),fun(fun(A,bool),bool),ord_less_eq(fun(A,bool)),B),C)).
% 0.55/0.78 Following clause subsumed by 310 during input processing: 0 [] {-} ti(fun(A,bool),B)!=ti(fun(A,bool),C)|hBOOL(hAPP(fun(A,bool),bool,hAPP(fun(A,bool),fun(fun(A,bool),bool),ord_less_eq(fun(A,bool)),C),B)).
% 0.55/0.78 Following clause subsumed by 301 during input processing: 0 [] {-} ti(fun(A,bool),B)=ti(fun(A,bool),C)| -hBOOL(hAPP(fun(A,bool),bool,hAPP(fun(A,bool),fun(fun(A,bool),bool),ord_less_eq(fun(A,bool)),B),C))| -hBOOL(hAPP(fun(A,bool),bool,hAPP(fun(A,bool),fun(fun(A,bool),bool),ord_less_eq(fun(A,bool)),C),B)).
% 0.55/0.78 Following clause subsumed by 315 during input processing: 0 [] {-} -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),A),A)).
% 0.55/0.78 Following clause subsumed by 317 during input processing: 0 [] {-} -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),A),B))|B!=A.
% 0.55/0.78 Following clause subsumed by 316 during input processing: 0 [] {-} -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),A),B))|A!=B.
% 0.55/0.78 Following clause subsumed by 316 during input processing: 0 [] {-} -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),A),B))|A!=B.
% 0.55/0.78 Following clause subsumed by 336 during input processing: 0 [] {-} -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),A),B))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),A),B))|A=B.
% 0.55/0.78 Following clause subsumed by 335 during input processing: 0 [] {-} hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),A),B))| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),A),B)).
% 0.55/0.78 Following clause subsumed by 322 during input processing: 0 [] {-} hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),A),B))|A!=B.
% 0.55/0.78 Following clause subsumed by 335 during input processing: 0 [] {-} -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),A),B))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),A),B)).
% 0.55/0.78 Following clause subsumed by 336 during input processing: 0 [] {-} -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),A),B))|A=B|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),A),B)).
% 0.55/0.78 Following clause subsumed by 335 during input processing: 0 [] {-} -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),A),B))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),A),B)).
% 0.55/0.78 Following clause subsumed by 322 during input processing: 0 [] {-} A!=B|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),A),B)).
% 0.55/0.78 Following clause subsumed by 300 during input processing: 0 [] {-} -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),A),B)),C))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),B),C)).
% 0.55/0.78 Following clause subsumed by 299 during input processing: 0 [] {-} -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),A),B)),C))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),A),C)).
% 0.55/0.78 Following clause subsumed by 342 during input processing: 0 [] {-} -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),A),B))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),A),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),B),C))).
% 0.55/0.78 Following clause subsumed by 343 during input processing: 0 [] {-} -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),A),B))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),A),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),C),B))).
% 0.55/0.78 Following clause subsumed by 335 during input processing: 0 [] {-} -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),A),B))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),A),B)).
% 0.55/0.78 Following clause subsumed by 330 during input processing: 0 [] {-} -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),A),B))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),A),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),C),B))).
% 0.55/0.78 Following clause subsumed by 329 during input processing: 0 [] {-} -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),A),B))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),A),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),B),C))).
% 0.55/0.78 Following clause subsumed by 374 during input processing: 0 [] {-} -finite_finite(A)|hBOOL(hAPP(fun(A,bool),bool,finite_finite_1(A),B)).
% 0.55/0.78 Following clause subsumed by 378 during input processing: 0 [] {-} -hBOOL(hAPP(fun(A,bool),bool,hAPP(fun(A,bool),fun(fun(A,bool),bool),ord_less_eq(fun(A,bool)),B),C))| -hBOOL(hAPP(fun(A,bool),bool,finite_finite_1(A),C))|hBOOL(hAPP(fun(A,bool),bool,finite_finite_1(A),B)).
% 0.55/0.78 Following clause subsumed by 374 during input processing: 0 [] {-} -finite_finite(A)|hBOOL(hAPP(fun(A,bool),bool,finite_finite_1(A),top_top(fun(A,bool)))).
% 0.55/0.78 Following clause subsumed by 398 during input processing: 0 [] {-} -hBOOL(hAPP(fun(sum_sum(A,B),bool),bool,finite_finite_1(sum_sum(A,B)),hAPP(fun(B,bool),fun(sum_sum(A,B),bool),hAPP(fun(A,bool),fun(fun(B,bool),fun(sum_sum(A,B),bool)),sum_Plus(A,B),C),D)))|hBOOL(hAPP(fun(A,bool),bool,finite_finite_1(A),C)).
% 0.55/0.78 Following clause subsumed by 397 during input processing: 0 [] {-} -hBOOL(hAPP(fun(sum_sum(A,B),bool),bool,finite_finite_1(sum_sum(A,B)),hAPP(fun(B,bool),fun(sum_sum(A,B),bool),hAPP(fun(A,bool),fun(fun(B,bool),fun(sum_sum(A,B),bool)),sum_Plus(A,B),C),D)))|hBOOL(hAPP(fun(B,bool),bool,finite_finite_1(B),D)).
% 0.55/0.78 Following clause subsumed by 399 during input processing: 0 [] {-} hBOOL(hAPP(fun(sum_sum(A,B),bool),bool,finite_finite_1(sum_sum(A,B)),hAPP(fun(B,bool),fun(sum_sum(A,B),bool),hAPP(fun(A,bool),fun(fun(B,bool),fun(sum_sum(A,B),bool)),sum_Plus(A,B),C),D)))| -hBOOL(hAPP(fun(A,bool),bool,finite_finite_1(A),C))| -hBOOL(hAPP(fun(B,bool),bool,finite_finite_1(B),D)).
% 0.55/0.78 Following clause subsumed by 394 during input processing: 0 [] {-} -hBOOL(hAPP(fun(A,bool),bool,finite_finite_1(A),B))| -hBOOL(hAPP(fun(C,bool),bool,finite_finite_1(C),D))|hAPP(fun(sum_sum(A,C),bool),nat,finite_card(sum_sum(A,C)),hAPP(fun(C,bool),fun(sum_sum(A,C),bool),hAPP(fun(A,bool),fun(fun(C,bool),fun(sum_sum(A,C),bool)),sum_Plus(A,C),B),D))=hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(fun(A,bool),nat,finite_card(A),B)),hAPP(fun(C,bool),nat,finite_card(C),D)).
% 0.55/0.78 Following clause subsumed by 417 during input processing: 0 [flip.2] {-} -zero_neq_one(A)|zero_zero(A)!=one_one(A).
% 0.55/0.78 Following clause subsumed by 408 during input processing: 0 [] {-} -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),A),zero_zero(nat))).
% 0.55/0.79 Following clause subsumed by 317 during input processing: 0 [] {-} A!=zero_zero(nat)| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),A)).
% 0.55/0.79 Following clause subsumed by 408 during input processing: 0 [] {-} -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),A),zero_zero(nat))).
% 0.55/0.79 Following clause subsumed by 322 during input processing: 0 [] {-} hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),A),zero_zero(nat)))|A!=zero_zero(nat).
% 0.55/0.79 Following clause subsumed by 426 during input processing: 0 [] {-} -ordere216010020id_add(A)| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less_eq(A),zero_zero(A)),B))| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less_eq(A),zero_zero(A)),C))|hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less_eq(A),zero_zero(A)),hAPP(A,A,hAPP(A,fun(A,A),plus_plus(A),B),C))).
% 0.55/0.79 Following clause subsumed by 329 during input processing: 0 [] {-} hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,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(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),A)).
% 0.55/0.79 Following clause subsumed by 330 during input processing: 0 [] {-} hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,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(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),B)).
% 0.55/0.79 Following clause subsumed by 448 during input processing: 0 [] {-} -ordere216010020id_add(A)| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less_eq(A),zero_zero(A)),B))| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),zero_zero(A)),C))|hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),zero_zero(A)),hAPP(A,A,hAPP(A,fun(A,A),plus_plus(A),B),C))).
% 0.55/0.79 Following clause subsumed by 449 during input processing: 0 [] {-} -ordere216010020id_add(A)| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),zero_zero(A)),B))| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less_eq(A),zero_zero(A)),C))|hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),zero_zero(A)),hAPP(A,A,hAPP(A,fun(A,A),plus_plus(A),B),C))).
% 0.55/0.79 Following clause subsumed by 468 during input processing: 0 [] {-} hAPP(nat,nat,suc,A)!=hAPP(nat,nat,suc,B)|A=B.
% 0.55/0.79 Following clause subsumed by 470 during input processing: 0 [flip.1] {-} hAPP(nat,nat,suc,A)!=A.
% 0.55/0.79 Following clause subsumed by 471 during input processing: 0 [] {-} hAPP(nat,nat,suc,A)!=zero_zero(nat).
% 0.55/0.79 Following clause subsumed by 471 during input processing: 0 [] {-} hAPP(nat,nat,suc,A)!=zero_zero(nat).
% 0.55/0.79 Following clause subsumed by 472 during input processing: 0 [] {-} zero_zero(nat)!=hAPP(nat,nat,suc,A).
% 0.55/0.79 Following clause subsumed by 472 during input processing: 0 [] {-} zero_zero(nat)!=hAPP(nat,nat,suc,A).
% 0.55/0.79 Following clause subsumed by 475 during input processing: 0 [] {-} hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),A),B))| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),A),hAPP(nat,nat,suc,B)))|A=B.
% 0.55/0.79 Following clause subsumed by 473 during input processing: 0 [] {-} -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,suc,A)),hAPP(nat,nat,suc,B)))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),A),B)).
% 0.55/0.79 Following clause subsumed by 467 during input processing: 0 [] {-} hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,suc,A)),hAPP(nat,nat,suc,B)))| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),A),B)).
% 0.55/0.79 Following clause subsumed by 475 during input processing: 0 [] {-} -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),A),hAPP(nat,nat,suc,B)))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),A),B))|A=B.
% 0.55/0.79 Following clause subsumed by 478 during input processing: 0 [] {-} hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),A),hAPP(nat,nat,suc,B)))| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),A),B)).
% 0.55/0.79 Following clause subsumed by 484 during input processing: 0 [] {-} -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),A),hAPP(nat,nat,suc,B)))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),A),B))|A=hAPP(nat,nat,suc,B).
% 0.55/0.79 Following clause subsumed by 485 during input processing: 0 [] {-} hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),A),hAPP(nat,nat,suc,B)))| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),A),B)).
% 0.55/0.79 Following clause subsumed by 322 during input processing: 0 [] {-} hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),A),hAPP(nat,nat,suc,B)))|A!=hAPP(nat,nat,suc,B).
% 0.55/0.79 Following clause subsumed by 481 during input processing: 0 [] {-} hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),A),hAPP(nat,nat,suc,zero_zero(nat))))|A!=zero_zero(nat).
% 0.55/0.79 Following clause subsumed by 515 during input processing: 0 [] {-} -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,suc,A)),B))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),A),B)).
% 0.55/0.79 Following clause subsumed by 514 during input processing: 0 [] {-} hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,suc,A)),B))| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),A),B)).
% 0.55/0.79 Following clause subsumed by 517 during input processing: 0 [] {-} -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),A),B))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),A),hAPP(nat,nat,suc,B))).
% 0.55/0.79 Following clause subsumed by 514 during input processing: 0 [] {-} -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),A),B))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,suc,A)),B)).
% 0.55/0.79 Following clause subsumed by 481 during input processing: 0 [] {-} -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),A),B))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),B),hAPP(nat,nat,suc,A)))|B!=A.
% 0.55/0.79 Following clause subsumed by 515 during input processing: 0 [] {-} -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,suc,A)),B))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),A),B)).
% 0.55/0.79 Following clause subsumed by 550 during input processing: 0 [] {-} -comm_semiring_1(A)|hAPP(A,A,hAPP(A,fun(A,A),plus_plus(A),hAPP(A,A,hAPP(A,fun(A,A),plus_plus(A),B),C)),D)=hAPP(A,A,hAPP(A,fun(A,A),plus_plus(A),B),hAPP(A,A,hAPP(A,fun(A,A),plus_plus(A),C),D)).
% 0.55/0.79 Following clause subsumed by 558 during input processing: 0 [] {-} -hBOOL(hAPP(fun(A,bool),bool,finite_finite_1(A),B))|hAPP(fun(A,bool),nat,finite_card(A),B)=hAPP(fun(A,bool),nat,hAPP(nat,fun(fun(A,bool),nat),hAPP(fun(A,nat),fun(nat,fun(fun(A,bool),nat)),hAPP(fun(nat,fun(nat,nat)),fun(fun(A,nat),fun(nat,fun(fun(A,bool),nat))),finite_fold_image(nat,A),plus_plus(nat)),hAPP(nat,fun(A,nat),combk(nat,A),one_one(nat))),zero_zero(nat)),B).
% 0.55/0.79 Following clause subsumed by 559 during input processing: 0 [] {-} hBOOL(hAPP(fun(A,bool),bool,hAPP(A,fun(fun(A,bool),bool),member(A),B),hAPP(fun(C,bool),fun(A,bool),hAPP(fun(C,A),fun(fun(C,bool),fun(A,bool)),image(C,A),D),E)))| -hBOOL(hAPP(fun(C,bool),bool,hAPP(C,fun(fun(C,bool),bool),member(C),F),E))|ti(A,B)!=hAPP(C,A,D,F).
% 0.55/0.79 Following clause subsumed by 559 during input processing: 0 [] {-} -hBOOL(hAPP(fun(A,bool),bool,hAPP(A,fun(fun(A,bool),bool),member(A),B),C))|ti(D,E)!=hAPP(A,D,F,B)|hBOOL(hAPP(fun(D,bool),bool,hAPP(D,fun(fun(D,bool),bool),member(D),E),hAPP(fun(A,bool),fun(D,bool),hAPP(fun(A,D),fun(fun(A,bool),fun(D,bool)),image(A,D),F),C))).
% 0.55/0.79 Following clause subsumed by 570 during input processing: 0 [] {-} -linorder(A)| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),B),C))| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),D),E))|hAPP(A,fun(A,bool),hAPP(A,fun(A,fun(A,bool)),ord_atLeastLessThan(A),B),C)!=hAPP(A,fun(A,bool),hAPP(A,fun(A,fun(A,bool)),ord_atLeastLessThan(A),D),E)|ti(A,B)=ti(A,D).
% 0.55/0.79 Following clause subsumed by 569 during input processing: 0 [] {-} -linorder(A)| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),B),C))| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),D),E))|hAPP(A,fun(A,bool),hAPP(A,fun(A,fun(A,bool)),ord_atLeastLessThan(A),B),C)!=hAPP(A,fun(A,bool),hAPP(A,fun(A,fun(A,bool)),ord_atLeastLessThan(A),D),E)|ti(A,C)=ti(A,E).
% 0.61/0.80 Following clause subsumed by 565 during input processing: 0 [] {-} -hBOOL(hAPP(fun(A,bool),bool,hAPP(fun(A,B),fun(fun(A,bool),bool),inj_on(A,B),C),top_top(fun(A,bool))))|hBOOL(hAPP(fun(B,bool),bool,hAPP(B,fun(fun(B,bool),bool),member(B),D),hAPP(fun(A,bool),fun(B,bool),hAPP(fun(A,B),fun(fun(A,bool),fun(B,bool)),image(A,B),C),top_top(fun(A,bool)))))|ti(B,D)!=hAPP(A,B,C,E)|ti(B,D)=hAPP(A,B,C,$f99(A,B,D,C,E)).
% 0.61/0.80 Following clause subsumed by 565 during input processing: 0 [] {-} -hBOOL(hAPP(fun(A,bool),bool,hAPP(fun(A,B),fun(fun(A,bool),bool),inj_on(A,B),C),top_top(fun(A,bool))))|hBOOL(hAPP(fun(B,bool),bool,hAPP(B,fun(fun(B,bool),bool),member(B),D),hAPP(fun(A,bool),fun(B,bool),hAPP(fun(A,B),fun(fun(A,bool),fun(B,bool)),image(A,B),C),top_top(fun(A,bool)))))|ti(B,D)!=hAPP(A,B,C,E)|ti(A,$f99(A,B,D,C,E))!=ti(A,E).
% 0.61/0.80 Following clause subsumed by 568 during input processing: 0 [] {-} -hBOOL(hAPP(fun(A,bool),bool,hAPP(fun(A,B),fun(fun(A,bool),bool),inj_on(A,B),C),top_top(fun(A,bool))))|hBOOL(hAPP(fun(B,bool),bool,hAPP(B,fun(fun(B,bool),bool),member(B),hAPP(A,B,C,D)),hAPP(fun(A,bool),fun(B,bool),hAPP(fun(A,B),fun(fun(A,bool),fun(B,bool)),image(A,B),C),E)))| -hBOOL(hAPP(fun(A,bool),bool,hAPP(A,fun(fun(A,bool),bool),member(A),D),E)).
% 0.61/0.80 Following clause subsumed by 585 during input processing: 0 [] {-} hAPP(fun(A,bool),fun(B,bool),hAPP(fun(A,B),fun(fun(A,bool),fun(B,bool)),image(A,B),C),top_top(fun(A,bool)))!=top_top(fun(B,bool))|hAPP(A,B,C,hAPP(B,A,hAPP(fun(A,B),fun(B,A),hAPP(fun(A,bool),fun(fun(A,B),fun(B,A)),hilbert_inv_into(A,B),top_top(fun(A,bool))),C),D))=ti(B,D).
% 0.61/0.80 Following clause subsumed by 561 during input processing: 0 [] {-} -hBOOL(hAPP(fun(A,bool),bool,hAPP(fun(A,B),fun(fun(A,bool),bool),inj_on(A,B),C),top_top(fun(A,bool))))|hBOOL(hAPP(fun(B,bool),bool,hAPP(fun(B,bool),fun(fun(B,bool),bool),ord_less_eq(fun(B,bool)),hAPP(fun(A,bool),fun(B,bool),hAPP(fun(A,B),fun(fun(A,bool),fun(B,bool)),image(A,B),C),D)),hAPP(fun(A,bool),fun(B,bool),hAPP(fun(A,B),fun(fun(A,bool),fun(B,bool)),image(A,B),C),E)))| -hBOOL(hAPP(fun(A,bool),bool,hAPP(fun(A,bool),fun(fun(A,bool),bool),ord_less_eq(fun(A,bool)),D),E)).
% 0.61/0.80 Following clause subsumed by 582 during input processing: 0 [] {-} -hBOOL(hAPP(fun(A,bool),bool,finite_finite_1(A),B))| -hBOOL(hAPP(fun(A,bool),bool,hAPP(fun(A,C),fun(fun(A,bool),bool),inj_on(A,C),D),B))|hAPP(fun(C,bool),nat,finite_card(C),hAPP(fun(A,bool),fun(C,bool),hAPP(fun(A,C),fun(fun(A,bool),fun(C,bool)),image(A,C),D),B))=hAPP(fun(A,bool),nat,finite_card(A),B).
% 0.61/0.80 Following clause subsumed by 600 during input processing: 0 [] {-} -hBOOL(hAPP(fun(A,bool),bool,finite_finite_1(A),B))|hBOOL(hAPP(fun(A,bool),bool,hAPP(fun(A,C),fun(fun(A,bool),bool),inj_on(A,C),D),B))|hAPP(fun(C,bool),nat,finite_card(C),hAPP(fun(A,bool),fun(C,bool),hAPP(fun(A,C),fun(fun(A,bool),fun(C,bool)),image(A,C),D),B))!=hAPP(fun(A,bool),nat,finite_card(A),B).
% 0.61/0.80 Following clause subsumed by 605 during input processing: 0 [] {-} -hBOOL(hAPP(fun(A,bool),bool,hAPP(fun(A,B),fun(fun(A,bool),bool),inj_on(A,B),C),top_top(fun(A,bool))))|hAPP(fun(B,bool),fun(A,bool),hAPP(fun(B,A),fun(fun(B,bool),fun(A,bool)),image(B,A),hAPP(fun(A,B),fun(B,A),hAPP(fun(A,bool),fun(fun(A,B),fun(B,A)),hilbert_inv_into(A,B),top_top(fun(A,bool))),C)),hAPP(fun(A,bool),fun(B,bool),hAPP(fun(A,B),fun(fun(A,bool),fun(B,bool)),image(A,B),C),D))=ti(fun(A,bool),D).
% 0.61/0.80 Following clause subsumed by 608 during input processing: 0 [] {-} -hBOOL(hAPP(fun(A,bool),bool,finite_finite_1(A),B))| -hBOOL(hAPP(fun(C,bool),bool,finite_finite_1(C),D))| -hBOOL(hAPP(fun(A,bool),bool,hAPP(fun(A,C),fun(fun(A,bool),bool),inj_on(A,C),E),B))| -hBOOL(hAPP(fun(C,bool),bool,hAPP(fun(C,bool),fun(fun(C,bool),bool),ord_less_eq(fun(C,bool)),hAPP(fun(A,bool),fun(C,bool),hAPP(fun(A,C),fun(fun(A,bool),fun(C,bool)),image(A,C),E),B)),D))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(fun(A,bool),nat,finite_card(A),B)),hAPP(fun(C,bool),nat,finite_card(C),D))).
% 0.61/0.81 Following clause subsumed by 620 during input processing: 0 [] {-} hBOOL(hAPP(fun(A,bool),bool,finite_finite_1(A),B))|ti(fun(A,bool),B)!=hAPP(fun(nat,bool),fun(A,bool),hAPP(fun(nat,A),fun(fun(nat,bool),fun(A,bool)),image(nat,A),C),hAPP(fun(nat,bool),fun(nat,bool),collect(nat),hAPP(nat,fun(nat,bool),hAPP(fun(nat,fun(nat,bool)),fun(nat,fun(nat,bool)),combc(nat,nat,bool),ord_less(nat)),D))).
% 0.61/0.81 Following clause subsumed by 701 during input processing: 0 [] {-} -semiri456707255roduct(A)|ti(A,B)=ti(A,C)|ti(A,D)=ti(A,E)|hAPP(A,A,hAPP(A,fun(A,A),plus_plus(A),hAPP(A,A,hAPP(A,fun(A,A),times_times(A),B),D)),hAPP(A,A,hAPP(A,fun(A,A),times_times(A),C),E))!=hAPP(A,A,hAPP(A,fun(A,A),plus_plus(A),hAPP(A,A,hAPP(A,fun(A,A),times_times(A),B),E)),hAPP(A,A,hAPP(A,fun(A,A),times_times(A),C),D)).
% 0.61/0.81 Following clause subsumed by 702 during input processing: 0 [] {-} -semiri456707255roduct(A)|ti(A,B)!=ti(A,C)|hAPP(A,A,hAPP(A,fun(A,A),plus_plus(A),hAPP(A,A,hAPP(A,fun(A,A),times_times(A),B),D)),hAPP(A,A,hAPP(A,fun(A,A),times_times(A),C),E))=hAPP(A,A,hAPP(A,fun(A,A),plus_plus(A),hAPP(A,A,hAPP(A,fun(A,A),times_times(A),B),E)),hAPP(A,A,hAPP(A,fun(A,A),times_times(A),C),D)).
% 0.61/0.81 Following clause subsumed by 703 during input processing: 0 [] {-} -semiri456707255roduct(A)|ti(A,B)!=ti(A,C)|hAPP(A,A,hAPP(A,fun(A,A),plus_plus(A),hAPP(A,A,hAPP(A,fun(A,A),times_times(A),D),B)),hAPP(A,A,hAPP(A,fun(A,A),times_times(A),E),C))=hAPP(A,A,hAPP(A,fun(A,A),plus_plus(A),hAPP(A,A,hAPP(A,fun(A,A),times_times(A),D),C)),hAPP(A,A,hAPP(A,fun(A,A),times_times(A),E),B)).
% 0.61/0.81 Following clause subsumed by 713 during input processing: 0 [] {-} -comm_semiring_1(A)|hAPP(A,A,hAPP(A,fun(A,A),times_times(A),hAPP(A,A,hAPP(A,fun(A,A),times_times(A),B),C)),D)=hAPP(A,A,hAPP(A,fun(A,A),times_times(A),B),hAPP(A,A,hAPP(A,fun(A,A),times_times(A),C),D)).
% 0.61/0.81 Following clause subsumed by 713 during input processing: 0 [] {-} -comm_semiring_1(A)|hAPP(A,A,hAPP(A,fun(A,A),times_times(A),hAPP(A,A,hAPP(A,fun(A,A),times_times(A),B),C)),hAPP(A,A,hAPP(A,fun(A,A),times_times(A),D),E))=hAPP(A,A,hAPP(A,fun(A,A),times_times(A),B),hAPP(A,A,hAPP(A,fun(A,A),times_times(A),C),hAPP(A,A,hAPP(A,fun(A,A),times_times(A),D),E))).
% 0.61/0.81 Following clause subsumed by 711 during input processing: 0 [] {-} -comm_semiring_1(A)|hAPP(A,A,hAPP(A,fun(A,A),times_times(A),hAPP(A,A,hAPP(A,fun(A,A),times_times(A),B),C)),hAPP(A,A,hAPP(A,fun(A,A),times_times(A),D),E))=hAPP(A,A,hAPP(A,fun(A,A),times_times(A),D),hAPP(A,A,hAPP(A,fun(A,A),times_times(A),hAPP(A,A,hAPP(A,fun(A,A),times_times(A),B),C)),E)).
% 0.61/0.81 Following clause subsumed by 718 during input processing: 0 [] {-} -no_zero_divisors(A)|ti(A,B)=zero_zero(A)|ti(A,C)=zero_zero(A)|hAPP(A,A,hAPP(A,fun(A,A),times_times(A),B),C)!=zero_zero(A).
% 0.61/0.81 Following clause subsumed by 725 during input processing: 0 [flip.1] {-} hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),A),B)!=one_one(nat)|A=one_one(nat).
% 0.61/0.81 Following clause subsumed by 726 during input processing: 0 [flip.1] {-} hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),A),B)!=one_one(nat)|B=one_one(nat).
% 0.61/0.81 Following clause subsumed by 727 during input processing: 0 [flip.1] {-} hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),A),B)=one_one(nat)|A!=one_one(nat)|B!=one_one(nat).
% 0.61/0.81 Following clause subsumed by 762 during input processing: 0 [] {-} -ordere453448008miring(A)| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less_eq(A),B),zero_zero(A)))| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less_eq(A),zero_zero(A)),C))|hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less_eq(A),hAPP(A,A,hAPP(A,fun(A,A),times_times(A),B),C)),zero_zero(A))).
% 0.61/0.81 Following clause subsumed by 763 during input processing: 0 [] {-} -ordered_ring(A)| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less_eq(A),B),zero_zero(A)))| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less_eq(A),C),zero_zero(A)))|hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less_eq(A),zero_zero(A)),hAPP(A,A,hAPP(A,fun(A,A),times_times(A),B),C))).
% 0.61/0.81 Following clause subsumed by 761 during input processing: 0 [] {-} -ordere453448008miring(A)| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less_eq(A),zero_zero(A)),B))| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less_eq(A),C),zero_zero(A)))|hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less_eq(A),hAPP(A,A,hAPP(A,fun(A,A),times_times(A),B),C)),zero_zero(A))).
% 0.61/0.82 Following clause subsumed by 762 during input processing: 0 [] {-} -ordere453448008miring(A)| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less_eq(A),B),zero_zero(A)))| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less_eq(A),zero_zero(A)),C))|hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less_eq(A),hAPP(A,A,hAPP(A,fun(A,A),times_times(A),B),C)),zero_zero(A))).
% 0.61/0.82 Following clause subsumed by 783 during input processing: 0 [] {-} -linord581940658strict(A)| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),zero_zero(A)),B))|hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),hAPP(A,A,hAPP(A,fun(A,A),times_times(A),B),C)),hAPP(A,A,hAPP(A,fun(A,A),times_times(A),B),D)))| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),C),D)).
% 0.61/0.82 Following clause subsumed by 784 during input processing: 0 [] {-} -linord581940658strict(A)| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),B),zero_zero(A)))|hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),hAPP(A,A,hAPP(A,fun(A,A),times_times(A),B),C)),hAPP(A,A,hAPP(A,fun(A,A),times_times(A),B),D)))| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),D),C)).
% 0.61/0.82 Following clause subsumed by 788 during input processing: 0 [] {-} -linord20386208strict(A)| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),B),zero_zero(A)))| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),zero_zero(A)),C))|hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),hAPP(A,A,hAPP(A,fun(A,A),times_times(A),B),C)),zero_zero(A))).
% 0.61/0.82 Following clause subsumed by 778 during input processing: 0 [] {-} -linord581940658strict(A)| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),B),C))| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),D),zero_zero(A)))|hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),hAPP(A,A,hAPP(A,fun(A,A),times_times(A),C),D)),hAPP(A,A,hAPP(A,fun(A,A),times_times(A),B),D))).
% 0.61/0.82 Following clause subsumed by 784 during input processing: 0 [] {-} -linord581940658strict(A)| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),B),C))| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),D),zero_zero(A)))|hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),hAPP(A,A,hAPP(A,fun(A,A),times_times(A),D),C)),hAPP(A,A,hAPP(A,fun(A,A),times_times(A),D),B))).
% 0.61/0.82 Following clause subsumed by 808 during input processing: 0 [] {-} hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),A),B)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),C),B)))| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),B))| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),A),C)).
% 0.61/0.82 Following clause subsumed by 807 during input processing: 0 [] {-} hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),A),B)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),A),C)))| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),A))| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),B),C)).
% 0.61/0.82 Following clause subsumed by 812 during input processing: 0 [] {-} -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),hAPP(nat,nat,suc,A)),B)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),hAPP(nat,nat,suc,A)),C)))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),B),C)).
% 0.61/0.82 Following clause subsumed by 699 during input processing: 0 [] {-} hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),hAPP(nat,nat,suc,A)),B)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),hAPP(nat,nat,suc,A)),C)))| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),B),C)).
% 0.61/0.82 Following clause subsumed by 698 during input processing: 0 [] {-} hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),A),B)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),C),B)))| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),A),C)).
% 0.61/0.82 Following clause subsumed by 699 during input processing: 0 [] {-} hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),A),B)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),A),C)))| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),B),C)).
% 0.61/0.83 Following clause subsumed by 852 during input processing: 0 [] {-} -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),A))| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),A),B)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),A),C)))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),B),C)).
% 0.61/0.83 Following clause subsumed by 699 during input processing: 0 [] {-} -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),A))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),A),B)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),A),C)))| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),B),C)).
% 0.61/0.83 Following clause subsumed by 812 during input processing: 0 [] {-} -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),A))| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),A),B)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),A),C)))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),B),C)).
% 0.61/0.83 Following clause subsumed by 807 during input processing: 0 [] {-} -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),A))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),A),B)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),A),C)))| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),B),C)).
% 0.61/0.83 Following clause subsumed by 734 during input processing: 0 [] {-} -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),A))|hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),A),B)=hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),A),C)|B!=C.
% 0.61/0.83 Following clause subsumed by 733 during input processing: 0 [] {-} hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),A),B)!=hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),A),C)|A=zero_zero(nat)|B=C.
% 0.61/0.83 Following clause subsumed by 735 during input processing: 0 [] {-} hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),A),B)=hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),A),C)|A!=zero_zero(nat).
% 0.61/0.83 Following clause subsumed by 734 during input processing: 0 [] {-} hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),A),B)=hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),A),C)|B!=C.
% 0.61/0.83 Following clause subsumed by 889 during input processing: 0 [] {-} -hBOOL(hAPP(fun(A,bool),bool,hAPP(fun(A,B),fun(fun(A,bool),bool),inj_on(A,B),C),D))| -hBOOL(hAPP(fun(B,bool),bool,hAPP(fun(B,E),fun(fun(B,bool),bool),inj_on(B,E),F),hAPP(fun(A,bool),fun(B,bool),hAPP(fun(A,B),fun(fun(A,bool),fun(B,bool)),image(A,B),C),D)))|hBOOL(hAPP(fun(A,bool),bool,hAPP(fun(A,E),fun(fun(A,bool),bool),inj_on(A,E),hAPP(fun(A,B),fun(A,E),hAPP(fun(B,E),fun(fun(A,B),fun(A,E)),comp(B,E,A),F),C)),D)).
% 0.61/0.83 Following clause subsumed by 888 during input processing: 0 [] {-} -hBOOL(hAPP(fun(A,bool),bool,hAPP(fun(A,B),fun(fun(A,bool),bool),inj_on(A,B),C),D))|hBOOL(hAPP(fun(B,bool),bool,hAPP(fun(B,E),fun(fun(B,bool),bool),inj_on(B,E),F),hAPP(fun(A,bool),fun(B,bool),hAPP(fun(A,B),fun(fun(A,bool),fun(B,bool)),image(A,B),C),D)))| -hBOOL(hAPP(fun(A,bool),bool,hAPP(fun(A,E),fun(fun(A,bool),bool),inj_on(A,E),hAPP(fun(A,B),fun(A,E),hAPP(fun(B,E),fun(fun(A,B),fun(A,E)),comp(B,E,A),F),C)),D)).
% 0.61/0.83 Following clause subsumed by 891 during input processing: 0 [] {-} hAPP(fun(A,B),fun(A,C),hAPP(fun(B,C),fun(fun(A,B),fun(A,C)),comp(B,C,A),D),E)!=hAPP(fun(A,F),fun(A,C),hAPP(fun(F,C),fun(fun(A,F),fun(A,C)),comp(F,C,A),G),H)|hAPP(B,C,D,hAPP(A,B,E,I))=hAPP(F,C,G,hAPP(A,F,H,I)).
% 0.61/0.83 Following clause subsumed by 974 during input processing: 0 [] {-} -hBOOL(hAPP(fun(A,bool),bool,hAPP(fun(A,bool),fun(fun(A,bool),bool),ord_less_eq(fun(A,bool)),B),C))|hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,bool),fun(fun(A,bool),fun(A,bool)),semilattice_sup_sup(fun(A,bool)),B),C)=ti(fun(A,bool),C).
% 0.61/0.84 Following clause subsumed by 979 during input processing: 0 [] {-} hBOOL(hAPP(fun(A,bool),bool,finite_finite_1(A),hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,bool),fun(fun(A,bool),fun(A,bool)),semilattice_sup_sup(fun(A,bool)),B),C)))| -hBOOL(hAPP(fun(A,bool),bool,finite_finite_1(A),B))| -hBOOL(hAPP(fun(A,bool),bool,finite_finite_1(A),C)).
% 0.61/0.84 Following clause subsumed by 964 during input processing: 0 [] {-} -hBOOL(hAPP(fun(A,bool),bool,hAPP(A,fun(fun(A,bool),bool),member(A),B),hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,bool),fun(fun(A,bool),fun(A,bool)),semilattice_sup_sup(fun(A,bool)),C),D)))|hBOOL(hAPP(fun(A,bool),bool,hAPP(A,fun(fun(A,bool),bool),member(A),B),C))|hBOOL(hAPP(fun(A,bool),bool,hAPP(A,fun(fun(A,bool),bool),member(A),B),D)).
% 0.61/0.84 Following clause subsumed by 969 during input processing: 0 [] {-} hBOOL(hAPP(fun(A,bool),bool,hAPP(A,fun(fun(A,bool),bool),member(A),B),hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,bool),fun(fun(A,bool),fun(A,bool)),semilattice_sup_sup(fun(A,bool)),C),D)))| -hBOOL(hAPP(fun(A,bool),bool,hAPP(A,fun(fun(A,bool),bool),member(A),B),C)).
% 0.61/0.84 Following clause subsumed by 968 during input processing: 0 [] {-} hBOOL(hAPP(fun(A,bool),bool,hAPP(A,fun(fun(A,bool),bool),member(A),B),hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,bool),fun(fun(A,bool),fun(A,bool)),semilattice_sup_sup(fun(A,bool)),C),D)))| -hBOOL(hAPP(fun(A,bool),bool,hAPP(A,fun(fun(A,bool),bool),member(A),B),D)).
% 0.61/0.84 Following clause subsumed by 967 during input processing: 0 [] {-} -hBOOL(hAPP(A,bool,B,C))|hBOOL(hAPP(A,bool,hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,bool),fun(fun(A,bool),fun(A,bool)),semilattice_sup_sup(fun(A,bool)),B),D),C)).
% 0.61/0.84 Following clause subsumed by 966 during input processing: 0 [] {-} -hBOOL(hAPP(A,bool,B,C))|hBOOL(hAPP(A,bool,hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,bool),fun(fun(A,bool),fun(A,bool)),semilattice_sup_sup(fun(A,bool)),D),B),C)).
% 0.61/0.84 Following clause subsumed by 969 during input processing: 0 [] {-} -hBOOL(hAPP(fun(A,bool),bool,hAPP(A,fun(fun(A,bool),bool),member(A),B),C))|hBOOL(hAPP(fun(A,bool),bool,hAPP(A,fun(fun(A,bool),bool),member(A),B),hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,bool),fun(fun(A,bool),fun(A,bool)),semilattice_sup_sup(fun(A,bool)),C),D))).
% 0.61/0.84 Following clause subsumed by 968 during input processing: 0 [] {-} -hBOOL(hAPP(fun(A,bool),bool,hAPP(A,fun(fun(A,bool),bool),member(A),B),C))|hBOOL(hAPP(fun(A,bool),bool,hAPP(A,fun(fun(A,bool),bool),member(A),B),hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,bool),fun(fun(A,bool),fun(A,bool)),semilattice_sup_sup(fun(A,bool)),D),C))).
% 0.61/0.84 Following clause subsumed by 1009 during input processing: 0 [] {-} -lattice(A)|hAPP(B,A,hAPP(fun(B,A),fun(B,A),hAPP(fun(B,A),fun(fun(B,A),fun(B,A)),semilattice_sup_sup(fun(B,A)),C),D),E)=hAPP(A,A,hAPP(A,fun(A,A),semilattice_sup_sup(A),hAPP(B,A,C,E)),hAPP(B,A,D,E)).
% 0.61/0.84 Following clause subsumed by 1012 during input processing: 0 [] {-} -ab_sem1668676832m_mult(A)|hAPP(A,A,hAPP(A,fun(A,A),times_times(A),B),B)=ti(A,B).
% 0.61/0.84 Following clause subsumed by 1014 during input processing: 0 [] {-} -semilattice_sup(A)|hAPP(A,A,hAPP(A,fun(A,A),semilattice_sup_sup(A),B),B)=ti(A,B).
% 0.61/0.84 Following clause subsumed by 1015 during input processing: 0 [] {-} -semilattice_sup(A)|hAPP(A,A,hAPP(A,fun(A,A),semilattice_sup_sup(A),B),C)=hAPP(A,A,hAPP(A,fun(A,A),semilattice_sup_sup(A),C),B).
% 0.61/0.84 Following clause subsumed by 1017 during input processing: 0 [] {-} -semilattice_sup(A)|hAPP(A,A,hAPP(A,fun(A,A),semilattice_sup_sup(A),B),hAPP(A,A,hAPP(A,fun(A,A),semilattice_sup_sup(A),B),C))=hAPP(A,A,hAPP(A,fun(A,A),semilattice_sup_sup(A),B),C).
% 0.61/0.84 Following clause subsumed by 1019 during input processing: 0 [] {-} -semilattice_sup(A)|hAPP(A,A,hAPP(A,fun(A,A),semilattice_sup_sup(A),B),hAPP(A,A,hAPP(A,fun(A,A),semilattice_sup_sup(A),C),D))=hAPP(A,A,hAPP(A,fun(A,A),semilattice_sup_sup(A),C),hAPP(A,A,hAPP(A,fun(A,A),semilattice_sup_sup(A),B),D)).
% 0.61/0.84 Following clause subsumed by 1021 during input processing: 0 [] {-} -semilattice_sup(A)|hAPP(A,A,hAPP(A,fun(A,A),semilattice_sup_sup(A),hAPP(A,A,hAPP(A,fun(A,A),semilattice_sup_sup(A),B),C)),D)=hAPP(A,A,hAPP(A,fun(A,A),semilattice_sup_sup(A),B),hAPP(A,A,hAPP(A,fun(A,A),semilattice_sup_sup(A),C),D)).
% 0.61/0.85 Following clause subsumed by 1027 during input processing: 0 [] {-} -semilattice_sup(A)| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less_eq(A),B),C))|hAPP(A,A,hAPP(A,fun(A,A),semilattice_sup_sup(A),B),C)=ti(A,C).
% 0.61/0.85 Following clause subsumed by 1031 during input processing: 0 [] {-} -semilattice_sup(A)| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less_eq(A),B),C))| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less_eq(A),D),C))|hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less_eq(A),hAPP(A,A,hAPP(A,fun(A,A),semilattice_sup_sup(A),B),D)),C)).
% 0.61/0.85 Following clause subsumed by 1031 during input processing: 0 [] {-} -semilattice_sup(A)| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less_eq(A),B),C))| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less_eq(A),D),C))|hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less_eq(A),hAPP(A,A,hAPP(A,fun(A,A),semilattice_sup_sup(A),B),D)),C)).
% 0.61/0.85 Following clause subsumed by 1029 during input processing: 0 [] {-} -semilattice_sup(A)| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less_eq(A),hAPP(A,A,hAPP(A,fun(A,A),semilattice_sup_sup(A),B),C)),D))|hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less_eq(A),B),D)).
% 0.61/0.85 Following clause subsumed by 1030 during input processing: 0 [] {-} -semilattice_sup(A)| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less_eq(A),hAPP(A,A,hAPP(A,fun(A,A),semilattice_sup_sup(A),B),C)),D))|hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less_eq(A),C),D)).
% 0.61/0.85 Following clause subsumed by 1044 during input processing: 0 [] {-} -hBOOL(hAPP(A,bool,hAPP(B,fun(A,bool),C,D),E))|hBOOL(hAPP(A,bool,hAPP(B,fun(A,bool),hAPP(fun(B,fun(A,bool)),fun(B,fun(A,bool)),hAPP(fun(B,fun(A,bool)),fun(fun(B,fun(A,bool)),fun(B,fun(A,bool))),semilattice_sup_sup(fun(B,fun(A,bool))),C),F),D),E)).
% 0.61/0.85 Following clause subsumed by 1043 during input processing: 0 [] {-} -hBOOL(hAPP(A,bool,hAPP(B,fun(A,bool),C,D),E))|hBOOL(hAPP(A,bool,hAPP(B,fun(A,bool),hAPP(fun(B,fun(A,bool)),fun(B,fun(A,bool)),hAPP(fun(B,fun(A,bool)),fun(fun(B,fun(A,bool)),fun(B,fun(A,bool))),semilattice_sup_sup(fun(B,fun(A,bool))),F),C),D),E)).
% 0.61/0.85 Following clause subsumed by 1057 during input processing: 0 [] {-} -hBOOL(hAPP(fun(A,bool),bool,hAPP(A,fun(fun(A,bool),bool),member(A),B),hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,bool),fun(fun(A,bool),fun(A,bool)),semilattice_inf_inf(fun(A,bool)),C),hAPP(fun(A,bool),fun(A,bool),collect(A),D))))|hBOOL(hAPP(fun(A,bool),bool,hAPP(A,fun(fun(A,bool),bool),member(A),B),C)).
% 0.61/0.85 Following clause subsumed by 1056 during input processing: 0 [] {-} -hBOOL(hAPP(A,bool,hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,bool),fun(fun(A,bool),fun(A,bool)),semilattice_inf_inf(fun(A,bool)),B),C),D))|hBOOL(hAPP(A,bool,C,D)).
% 0.61/0.85 Following clause subsumed by 1055 during input processing: 0 [] {-} -hBOOL(hAPP(A,bool,hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,bool),fun(fun(A,bool),fun(A,bool)),semilattice_inf_inf(fun(A,bool)),B),C),D))|hBOOL(hAPP(A,bool,B,D)).
% 0.61/0.85 Following clause subsumed by 1058 during input processing: 0 [] {-} -hBOOL(hAPP(fun(A,bool),bool,hAPP(A,fun(fun(A,bool),bool),member(A),B),hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,bool),fun(fun(A,bool),fun(A,bool)),semilattice_inf_inf(fun(A,bool)),C),D)))|hBOOL(hAPP(fun(A,bool),bool,hAPP(A,fun(fun(A,bool),bool),member(A),B),D)).
% 0.61/0.85 Following clause subsumed by 1057 during input processing: 0 [] {-} -hBOOL(hAPP(fun(A,bool),bool,hAPP(A,fun(fun(A,bool),bool),member(A),B),hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,bool),fun(fun(A,bool),fun(A,bool)),semilattice_inf_inf(fun(A,bool)),C),D)))|hBOOL(hAPP(fun(A,bool),bool,hAPP(A,fun(fun(A,bool),bool),member(A),B),C)).
% 0.61/0.85 Following clause subsumed by 1057 during input processing: 0 [] {-} -hBOOL(hAPP(fun(A,bool),bool,hAPP(A,fun(fun(A,bool),bool),member(A),B),hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,bool),fun(fun(A,bool),fun(A,bool)),semilattice_inf_inf(fun(A,bool)),C),D)))|hBOOL(hAPP(fun(A,bool),bool,hAPP(A,fun(fun(A,bool),bool),member(A),B),C)).
% 0.61/0.85 Following clause subsumed by 1058 during input processing: 0 [] {-} -hBOOL(hAPP(fun(A,bool),bool,hAPP(A,fun(fun(A,bool),bool),member(A),B),hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,bool),fun(fun(A,bool),fun(A,bool)),semilattice_inf_inf(fun(A,bool)),C),D)))|hBOOL(hAPP(fun(A,bool),bool,hAPP(A,fun(fun(A,bool),bool),member(A),B),D)).
% 0.61/0.85 Following clause subsumed by 1059 during input processing: 0 [] {-} hBOOL(hAPP(fun(A,bool),bool,hAPP(A,fun(fun(A,bool),bool),member(A),B),hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,bool),fun(fun(A,bool),fun(A,bool)),semilattice_inf_inf(fun(A,bool)),C),D)))| -hBOOL(hAPP(fun(A,bool),bool,hAPP(A,fun(fun(A,bool),bool),member(A),B),C))| -hBOOL(hAPP(fun(A,bool),bool,hAPP(A,fun(fun(A,bool),bool),member(A),B),D)).
% 0.61/0.85 Following clause subsumed by 1093 during input processing: 0 [] {-} -comm_monoid_add(A)| -hBOOL(hAPP(fun(B,bool),bool,finite_finite_1(B),C))|hAPP(fun(B,bool),A,hAPP(fun(B,A),fun(fun(B,bool),A),big_co1399186613setsum(B,A),D),hAPP(fun(B,bool),fun(B,bool),collect(B),hAPP(fun(B,bool),fun(B,bool),hAPP(fun(B,fun(bool,bool)),fun(fun(B,bool),fun(B,bool)),combs(B,bool,bool),hAPP(fun(B,bool),fun(B,fun(bool,bool)),hAPP(fun(bool,fun(bool,bool)),fun(fun(B,bool),fun(B,fun(bool,bool))),combb(bool,fun(bool,bool),B),fconj),hAPP(fun(B,bool),fun(B,bool),hAPP(fun(B,fun(fun(B,bool),bool)),fun(fun(B,bool),fun(B,bool)),combc(B,fun(B,bool),bool),member(B)),C))),hAPP(fun(B,bool),fun(B,bool),hAPP(fun(B,fun(fun(B,bool),bool)),fun(fun(B,bool),fun(B,bool)),combc(B,fun(B,bool),bool),member(B)),E))))=hAPP(fun(B,bool),A,hAPP(fun(B,A),fun(fun(B,bool),A),big_co1399186613setsum(B,A),hAPP(A,fun(B,A),hAPP(fun(B,fun(A,A)),fun(A,fun(B,A)),combc(B,A,A),hAPP(fun(B,A),fun(B,fun(A,A)),hAPP(fun(B,fun(A,fun(A,A))),fun(fun(B,A),fun(B,fun(A,A))),combs(B,A,fun(A,A)),hAPP(fun(B,bool),fun(B,fun(A,fun(A,A))),hAPP(fun(bool,fun(A,fun(A,A))),fun(fun(B,bool),fun(B,fun(A,fun(A,A)))),combb(bool,fun(A,fun(A,A)),B),if(A)),hAPP(fun(B,bool),fun(B,bool),hAPP(fun(B,fun(fun(B,bool),bool)),fun(fun(B,bool),fun(B,bool)),combc(B,fun(B,bool),bool),member(B)),E))),D)),zero_zero(A))),C).
% 0.61/0.85 Following clause subsumed by 1099 during input processing: 0 [] {-} -semilattice_inf(A)| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less_eq(A),B),C))| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less_eq(A),B),D))|hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less_eq(A),B),hAPP(A,A,hAPP(A,fun(A,A),semilattice_inf_inf(A),C),D))).
% 0.61/0.85 Following clause subsumed by 1096 during input processing: 0 [] {-} -semilattice_inf(A)| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less_eq(A),B),hAPP(A,A,hAPP(A,fun(A,A),semilattice_inf_inf(A),C),D)))|hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less_eq(A),B),C)).
% 0.61/0.85 Following clause subsumed by 1097 during input processing: 0 [] {-} -semilattice_inf(A)| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less_eq(A),B),hAPP(A,A,hAPP(A,fun(A,A),semilattice_inf_inf(A),C),D)))|hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less_eq(A),B),D)).
% 0.61/0.85 Following clause subsumed by 1099 during input processing: 0 [] {-} -semilattice_inf(A)|hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less_eq(A),B),hAPP(A,A,hAPP(A,fun(A,A),semilattice_inf_inf(A),C),D)))| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less_eq(A),B),C))| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less_eq(A),B),D)).
% 0.61/0.85 Following clause subsumed by 1101 during input processing: 0 [] {-} -semilattice_inf(A)| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less_eq(A),B),C))|hAPP(A,A,hAPP(A,fun(A,A),semilattice_inf_inf(A),B),C)=ti(A,B).
% 0.61/0.85 Following clause subsumed by 1115 during input processing: 0 [] {-} -semilattice_inf(A)|hAPP(A,A,hAPP(A,fun(A,A),semilattice_inf_inf(A),hAPP(A,A,hAPP(A,fun(A,A),semilattice_inf_inf(A),B),C)),D)=hAPP(A,A,hAPP(A,fun(A,A),semilattice_inf_inf(A),B),hAPP(A,A,hAPP(A,fun(A,A),semilattice_inf_inf(A),C),D)).
% 0.61/0.85 Following clause subsumed by 1117 during input processing: 0 [] {-} -semilattice_inf(A)|hAPP(A,A,hAPP(A,fun(A,A),semilattice_inf_inf(A),B),hAPP(A,A,hAPP(A,fun(A,A),semilattice_inf_inf(A),C),D))=hAPP(A,A,hAPP(A,fun(A,A),semilattice_inf_inf(A),C),hAPP(A,A,hAPP(A,fun(A,A),semilattice_inf_inf(A),B),D)).
% 0.61/0.85 Following clause subsumed by 1119 during input processing: 0 [] {-} -semilattice_inf(A)|hAPP(A,A,hAPP(A,fun(A,A),semilattice_inf_inf(A),B),hAPP(A,A,hAPP(A,fun(A,A),semilattice_inf_inf(A),B),C))=hAPP(A,A,hAPP(A,fun(A,A),semilattice_inf_inf(A),B),C).
% 0.73/0.92 Following clause subsumed by 1121 during input processing: 0 [] {-} -semilattice_inf(A)|hAPP(A,A,hAPP(A,fun(A,A),semilattice_inf_inf(A),B),C)=hAPP(A,A,hAPP(A,fun(A,A),semilattice_inf_inf(A),C),B).
% 0.73/0.92 Following clause subsumed by 1114 during input processing: 0 [] {-} -lattice(A)|hAPP(B,A,hAPP(fun(B,A),fun(B,A),hAPP(fun(B,A),fun(fun(B,A),fun(B,A)),semilattice_inf_inf(fun(B,A)),C),D),E)=hAPP(A,A,hAPP(A,fun(A,A),semilattice_inf_inf(A),hAPP(B,A,C,E)),hAPP(B,A,D,E)).
% 0.73/0.92 Following clause subsumed by 1123 during input processing: 0 [] {-} -semilattice_inf(A)|hAPP(A,A,hAPP(A,fun(A,A),semilattice_inf_inf(A),B),B)=ti(A,B).
% 0.73/0.92 Following clause subsumed by 1136 during input processing: 0 [] {-} -hBOOL(hAPP(fun(A,bool),bool,finite_finite_1(A),B))| -hBOOL(hAPP(fun(A,bool),bool,finite_finite_1(A),C))|hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(fun(A,bool),nat,finite_card(A),hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,bool),fun(fun(A,bool),fun(A,bool)),semilattice_sup_sup(fun(A,bool)),B),C))),hAPP(fun(A,bool),nat,finite_card(A),hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,bool),fun(fun(A,bool),fun(A,bool)),semilattice_inf_inf(fun(A,bool)),B),C)))=hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(fun(A,bool),nat,finite_card(A),B)),hAPP(fun(A,bool),nat,finite_card(A),C)).
% 0.73/0.92 Following clause subsumed by 1151 during input processing: 0 [flip.3] {-} -comm_monoid_add(A)| -hBOOL(hAPP(fun(B,bool),bool,finite_finite_1(B),C))|hAPP(fun(B,bool),A,hAPP(A,fun(fun(B,bool),A),hAPP(fun(B,A),fun(A,fun(fun(B,bool),A)),hAPP(fun(A,fun(A,A)),fun(fun(B,A),fun(A,fun(fun(B,bool),A))),finite_fold_image(A,B),plus_plus(A)),D),zero_zero(A)),C)=hAPP(fun(B,bool),A,hAPP(fun(B,A),fun(fun(B,bool),A),big_co1399186613setsum(B,A),D),C).
% 0.73/0.92 Following clause subsumed by 1154 during input processing: 0 [] {-} -hBOOL(hAPP(A,bool,hAPP(B,fun(A,bool),hAPP(fun(B,fun(A,bool)),fun(B,fun(A,bool)),hAPP(fun(B,fun(A,bool)),fun(fun(B,fun(A,bool)),fun(B,fun(A,bool))),semilattice_inf_inf(fun(B,fun(A,bool))),C),D),E),F))|hBOOL(hAPP(A,bool,hAPP(B,fun(A,bool),D,E),F)).
% 0.73/0.92 Following clause subsumed by 1153 during input processing: 0 [] {-} -hBOOL(hAPP(A,bool,hAPP(B,fun(A,bool),hAPP(fun(B,fun(A,bool)),fun(B,fun(A,bool)),hAPP(fun(B,fun(A,bool)),fun(fun(B,fun(A,bool)),fun(B,fun(A,bool))),semilattice_inf_inf(fun(B,fun(A,bool))),C),D),E),F))|hBOOL(hAPP(A,bool,hAPP(B,fun(A,bool),C,E),F)).
% 0.73/0.92 Following clause subsumed by 1152 during input processing: 0 [] {-} -comm_monoid_add(A)|hBOOL(hAPP(fun(B,bool),bool,finite_finite_1(B),C))|hAPP(fun(B,bool),A,hAPP(fun(B,A),fun(fun(B,bool),A),big_co1399186613setsum(B,A),D),C)=zero_zero(A).
% 0.73/0.92 Following clause subsumed by 1152 during input processing: 0 [] {-} -comm_monoid_add(A)|hBOOL(hAPP(fun(B,bool),bool,finite_finite_1(B),C))|hAPP(fun(B,bool),A,hAPP(fun(B,A),fun(fun(B,bool),A),big_co1399186613setsum(B,A),D),C)=zero_zero(A).
% 0.73/0.92 Following clause subsumed by 1160 during input processing: 0 [] {-} -comm_monoid_add(A)| -hBOOL(hAPP(fun(B,bool),bool,finite_finite_1(B),C))|hAPP(fun(B,bool),A,hAPP(fun(B,A),fun(fun(B,bool),A),big_co1399186613setsum(B,A),hAPP(fun(B,A),fun(B,A),hAPP(fun(B,fun(A,A)),fun(fun(B,A),fun(B,A)),combs(B,A,A),hAPP(fun(B,A),fun(B,fun(A,A)),hAPP(fun(A,fun(A,A)),fun(fun(B,A),fun(B,fun(A,A))),combb(A,fun(A,A),B),plus_plus(A)),D)),E)),C)=hAPP(A,A,hAPP(A,fun(A,A),plus_plus(A),hAPP(fun(B,bool),A,hAPP(fun(B,A),fun(fun(B,bool),A),big_co1399186613setsum(B,A),D),C)),hAPP(fun(B,bool),A,hAPP(fun(B,A),fun(fun(B,bool),A),big_co1399186613setsum(B,A),E),C)).
% 0.73/0.92 Following clause subsumed by 1171 during input processing: 0 [] {-} -comm_monoid_add(A)| -hBOOL(hAPP(fun(B,bool),bool,finite_finite_1(B),C))| -hBOOL(hAPP(fun(B,bool),bool,hAPP(fun(B,B),fun(fun(B,bool),bool),inj_on(B,B),D),C))|hAPP(fun(B,bool),A,hAPP(fun(B,A),fun(fun(B,bool),A),big_co1399186613setsum(B,A),E),hAPP(fun(B,bool),fun(B,bool),hAPP(fun(B,B),fun(fun(B,bool),fun(B,bool)),image(B,B),D),C))=hAPP(fun(B,bool),A,hAPP(fun(B,A),fun(fun(B,bool),A),big_co1399186613setsum(B,A),hAPP(fun(B,B),fun(B,A),hAPP(fun(B,A),fun(fun(B,B),fun(B,A)),comp(B,A,B),E),D)),C).
% 0.73/0.92 106 back subsumes 105.
% 0.73/0.92 124 back subsumes 122.
% 0.73/0.92 211 back subsumes 209.
% 0.73/0.92 329 back subsumes 165.
% 0.92/1.09 Following clause subsumed by 472 during input processing: 0 [copy,471,flip.1] {-} zero_zero(nat)!=hAPP(nat,nat,suc,A).
% 0.92/1.09 Following clause subsumed by 471 during input processing: 0 [copy,472,flip.1] {-} hAPP(nat,nat,suc,A)!=zero_zero(nat).
% 0.92/1.09 481 back subsumes 480.
% 0.92/1.09 734 back subsumes 729.
% 0.92/1.09 1212 back subsumes 68.
% 0.92/1.09
% 0.92/1.09 ------------> process sos:
% 0.92/1.09 Following clause subsumed by 1477 during input processing: 0 [] {-} hBOOL(hAPP(fun(A,bool),bool,hAPP(A,fun(fun(A,bool),bool),member(A),B),top_top(fun(A,bool)))).
% 0.92/1.09 Following clause subsumed by 1520 during input processing: 0 [] {-} A=B|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),A),B))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),B),A)).
% 0.92/1.09 Following clause subsumed by 1520 during input processing: 0 [factor_simp] {-} hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),A),B))|A=B|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),B),A)).
% 0.92/1.09 Following clause subsumed by 1560 during input processing: 0 [] {-} A=zero_zero(nat)|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),A)).
% 0.92/1.09 Following clause subsumed by 1559 during input processing: 0 [] {-} hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),zero_zero(nat)),A)).
% 0.92/1.09 Following clause subsumed by 1565 during input processing: 0 [] {-} hBOOL(hAPP(fun(A,bool),bool,finite_finite_1(A),B))|hAPP(fun(A,bool),nat,finite_card(A),B)=zero_zero(nat).
% 0.92/1.09 Following clause subsumed by 1675 during input processing: 0 [] {-} hAPP(A,B,hAPP(fun(A,C),fun(A,B),hAPP(fun(C,B),fun(fun(A,C),fun(A,B)),comp(C,B,A),D),E),F)=hAPP(C,B,D,hAPP(A,C,E,F)).
% 0.92/1.09 Following clause subsumed by 1807 during input processing: 0 [] {-} ti(bool,A)=fTrue|ti(bool,A)=fFalse.
% 0.92/1.09 Following clause subsumed by 1807 during input processing: 0 [] {-} ti(bool,A)=fTrue|ti(bool,A)=fFalse.
% 0.92/1.09 1467 back subsumes 153.
% 0.92/1.09 1468 back subsumes 89.
% 0.92/1.09 1484 back subsumes 172.
% 0.92/1.09 1484 back subsumes 169.
% 0.92/1.09 1484 back subsumes 166.
% 0.92/1.09 1484 back subsumes 163.
% 0.92/1.09 1484 back subsumes 160.
% 0.92/1.09 1484 back subsumes 157.
% 0.92/1.09 1484 back subsumes 154.
% 0.92/1.09 1485 back subsumes 98.
% 0.92/1.09 1485 back subsumes 97.
% 0.92/1.09 1485 back subsumes 96.
% 0.92/1.09 1495 back subsumes 152.
% 0.92/1.09 Following clause subsumed by 1521 during input processing: 0 [copy,1521,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).
% 0.92/1.09 Following clause subsumed by 1522 during input processing: 0 [copy,1522,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)).
% 0.92/1.09 1525 back subsumes 1248.
% 0.92/1.09 1525 back subsumes 1247.
% 0.92/1.09 1525 back subsumes 1246.
% 0.92/1.09 Following clause subsumed by 1815 during input processing: 0 [copy,1575,flip.1] {-} 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)).
% 0.92/1.09 Following clause subsumed by 1611 during input processing: 0 [copy,1613,flip.1] {-} hAPP(fun(A,bool),fun(B,bool),hAPP(fun(A,B),fun(fun(A,bool),fun(B,bool)),image(A,B),C),hAPP(fun(D,bool),fun(A,bool),hAPP(fun(D,A),fun(fun(D,bool),fun(A,bool)),image(D,A),E),hAPP(fun(D,bool),fun(D,bool),collect(D),hAPP(bool,fun(D,bool),combk(bool,D),fTrue))))=hAPP(fun(D,bool),fun(B,bool),hAPP(fun(D,B),fun(fun(D,bool),fun(B,bool)),image(D,B),hAPP(fun(D,A),fun(D,B),hAPP(fun(A,B),fun(fun(D,A),fun(D,B)),combb(A,B,D),C),E)),hAPP(fun(D,bool),fun(D,bool),collect(D),hAPP(bool,fun(D,bool),combk(bool,D),fTrue))).
% 0.92/1.09 Following clause subsumed by 1659 during input processing: 0 [copy,1659,flip.1] {-} hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),A),B)=hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),B),A).
% 0.92/1.09 Following clause subsumed by 1815 during input processing: 0 [copy,1684,flip.1,demod,1687,1690,1687,1690] {-} hAPP(bool,nat,bool_size,fFalse)=hAPP(bool,nat,bool_size,fFalse).
% 0.92/1.10 Following clause subsumed by 1706 during input processing: 0 [copy,1706,flip.1] {-} hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,bool),fun(fun(A,bool),fun(A,bool)),semilattice_sup_sup(fun(A,bool)),B),C)=hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,bool),fun(fun(A,bool),fun(A,bool)),semilattice_sup_sup(fun(A,bool)),C),B).
% 0.92/1.10 Following clause subsumed by 1709 during input processing: 0 [copy,1709,flip.1] {-} hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,bool),fun(fun(A,bool),fun(A,bool)),semilattice_sup_sup(fun(A,bool)),B),hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,bool),fun(fun(A,bool),fun(A,bool)),semilattice_sup_sup(fun(A,bool)),C),D))=hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,bool),fun(fun(A,bool),fun(A,bool)),semilattice_sup_sup(fun(A,bool)),C),hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,bool),fun(fun(A,bool),fun(A,bool)),semilattice_sup_sup(fun(A,bool)),B),D)).
% 0.92/1.10 Following clause subsumed by 1743 during input processing: 0 [copy,1743,flip.1] {-} hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,bool),fun(fun(A,bool),fun(A,bool)),semilattice_inf_inf(fun(A,bool)),B),hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,bool),fun(fun(A,bool),fun(A,bool)),semilattice_inf_inf(fun(A,bool)),C),D))=hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,bool),fun(fun(A,bool),fun(A,bool)),semilattice_inf_inf(fun(A,bool)),C),hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,bool),fun(fun(A,bool),fun(A,bool)),semilattice_inf_inf(fun(A,bool)),B),D)).
% 0.92/1.10 Following clause subsumed by 1746 during input processing: 0 [copy,1746,flip.1] {-} hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,bool),fun(fun(A,bool),fun(A,bool)),semilattice_inf_inf(fun(A,bool)),B),C)=hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,bool),fun(fun(A,bool),fun(A,bool)),semilattice_inf_inf(fun(A,bool)),C),B).
% 0.92/1.10 Following clause subsumed by 1815 during input processing: 0 [copy,1815,flip.1] {-} A=A.
% 0.92/1.10 1815 back subsumes 1575.
% 0.92/1.10 1815 back subsumes 1250.
% 0.92/1.10 1815 back subsumes 1249.
% 0.92/1.10 1815 back subsumes 1225.
% 0.92/1.10 1815 back subsumes 1224.
% 0.92/1.10 1815 back subsumes 1221.
% 0.92/1.10 1815 back subsumes 1220.
% 0.92/1.10 1815 back subsumes 1219.
% 0.92/1.10 1815 back subsumes 1218.
% 0.92/1.10 1815 back subsumes 1214.
% 0.92/1.10 Following clause subsumed by 1491 during input processing: 0 [copy,1816,flip.1] {-} hAPP(fun(A,bool),fun(A,bool),collect(A),B)=ti(fun(A,bool),B).
% 0.92/1.10 1817 back subsumes 1666.
% 0.92/1.10 Following clause subsumed by 1499 during input processing: 0 [copy,1829,flip.1] {-} hAPP(fun(A,fun(B,bool)),fun(fun(A,B),bool),hAPP(fun(A,bool),fun(fun(A,fun(B,bool)),fun(fun(A,B),bool)),pi(A,B),C),hAPP(fun(B,bool),fun(A,fun(B,bool)),combk(fun(B,bool),A),hAPP(fun(B,bool),fun(B,bool),collect(B),hAPP(bool,fun(B,bool),combk(bool,B),fTrue))))=hAPP(fun(fun(A,B),bool),fun(fun(A,B),bool),collect(fun(A,B)),hAPP(bool,fun(fun(A,B),bool),combk(bool,fun(A,B)),fTrue)).
% 0.92/1.10 Following clause subsumed by 1610 during input processing: 0 [copy,1860,flip.1] {-} hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,A),fun(fun(A,bool),fun(A,bool)),image(A,A),combi(A)),B)=ti(fun(A,bool),B).
% 0.92/1.10 Following clause subsumed by 1611 during input processing: 0 [copy,1861,flip.1] {-} hAPP(fun(A,bool),fun(B,bool),hAPP(fun(A,B),fun(fun(A,bool),fun(B,bool)),image(A,B),C),hAPP(fun(D,bool),fun(A,bool),hAPP(fun(D,A),fun(fun(D,bool),fun(A,bool)),image(D,A),E),F))=hAPP(fun(D,bool),fun(B,bool),hAPP(fun(D,B),fun(fun(D,bool),fun(B,bool)),image(D,B),hAPP(fun(D,A),fun(D,B),hAPP(fun(A,B),fun(fun(D,A),fun(D,B)),combb(A,B,D),C),E)),F).
% 0.92/1.10 1861 back subsumes 1613.
% 0.92/1.10 Following clause subsumed by 1882 during input processing: 0 [copy,1862,flip.1] {-} hAPP(nat,A,hAPP(fun(nat,A),fun(nat,A),hAPP(A,fun(fun(nat,A),fun(nat,A)),nat_case(A),B),C),hAPP(bool,nat,bool_size,fFalse))=ti(A,B).
% 0.92/1.10 Following clause subsumed by 1635 during input processing: 0 [copy,1863,flip.1] {-} hAPP(fun(A,B),fun(A,C),hAPP(fun(B,C),fun(fun(A,B),fun(A,C)),hAPP(fun(A,bool),fun(fun(B,C),fun(fun(A,B),fun(A,C))),compose(A,B,C),D),E),F)=hAPP(fun(A,bool),fun(A,C),hAPP(fun(A,C),fun(fun(A,bool),fun(A,C)),restrict(A,C),hAPP(fun(A,B),fun(A,C),hAPP(fun(B,C),fun(fun(A,B),fun(A,C)),combb(B,C,A),E),F)),D).
% 0.92/1.10 Following clause subsumed by 1644 during input processing: 0 [copy,1864,flip.1] {-} hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),A),B)),C)=hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),A),C)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),B),C)).
% 0.92/1.10 Following clause subsumed by 1654 during input processing: 0 [copy,1869,flip.1] {-} hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),hAPP(nat,nat,suc,A)),B)=hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),B),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),A),B)).
% 0.92/1.10 Following clause subsumed by 1672 during input processing: 0 [copy,1870,flip.1] {-} hAPP(fun(A,bool),fun(B,bool),hAPP(fun(A,B),fun(fun(A,bool),fun(B,bool)),image(A,B),hAPP(fun(A,C),fun(A,B),hAPP(fun(C,B),fun(fun(A,C),fun(A,B)),comp(C,B,A),D),E)),F)=hAPP(fun(C,bool),fun(B,bool),hAPP(fun(C,B),fun(fun(C,bool),fun(B,bool)),image(C,B),D),hAPP(fun(A,bool),fun(C,bool),hAPP(fun(A,C),fun(fun(A,bool),fun(C,bool)),image(A,C),E),F)).
% 0.92/1.10 Following clause subsumed by 1675 during input processing: 0 [copy,1871,flip.1] {-} hAPP(A,B,hAPP(fun(A,C),fun(A,B),hAPP(fun(C,B),fun(fun(A,C),fun(A,B)),comp(C,B,A),D),E),F)=hAPP(C,B,D,hAPP(A,C,E,F)).
% 0.92/1.10 Following clause subsumed by 1676 during input processing: 0 [copy,1872,flip.1] {-} hAPP(fun(A,B),fun(A,C),hAPP(fun(B,C),fun(fun(A,B),fun(A,C)),comp(B,C,A),D),hAPP(fun(A,E),fun(A,B),hAPP(fun(E,B),fun(fun(A,E),fun(A,B)),comp(E,B,A),F),G))=hAPP(fun(A,E),fun(A,C),hAPP(fun(E,C),fun(fun(A,E),fun(A,C)),comp(E,C,A),hAPP(fun(E,B),fun(E,C),hAPP(fun(B,C),fun(fun(E,B),fun(E,C)),comp(B,C,E),D),F)),G).
% 0.92/1.10 Following clause subsumed by 1677 during input processing: 0 [copy,1873,flip.1] {-} hAPP(A,B,hAPP(fun(A,C),fun(A,B),hAPP(fun(C,B),fun(fun(A,C),fun(A,B)),comp(C,B,A),hAPP(B,fun(C,B),combk(B,C),D)),E),F)=ti(B,D).
% 0.92/1.10 Following clause subsumed by 1862 during input processing: 0 [copy,1882,flip.1] {-} ti(A,B)=hAPP(nat,A,hAPP(fun(nat,A),fun(nat,A),hAPP(A,fun(fun(nat,A),fun(nat,A)),nat_case(A),B),C),hAPP(bool,nat,bool_size,fFalse)).
% 0.92/1.10 1959 back subsumes 1139.
% 0.92/1.10 Following clause subsumed by 1701 during input processing: 0 [copy,1960,flip.1] {-} hAPP(fun(A,bool),fun(B,bool),hAPP(fun(A,B),fun(fun(A,bool),fun(B,bool)),image(A,B),C),hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,bool),fun(fun(A,bool),fun(A,bool)),semilattice_sup_sup(fun(A,bool)),D),E))=hAPP(fun(B,bool),fun(B,bool),hAPP(fun(B,bool),fun(fun(B,bool),fun(B,bool)),semilattice_sup_sup(fun(B,bool)),hAPP(fun(A,bool),fun(B,bool),hAPP(fun(A,B),fun(fun(A,bool),fun(B,bool)),image(A,B),C),D)),hAPP(fun(A,bool),fun(B,bool),hAPP(fun(A,B),fun(fun(A,bool),fun(B,bool)),image(A,B),C),E)).
% 0.92/1.10 Following clause subsumed by 1704 during input processing: 0 [copy,1961,flip.1] {-} hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,bool),fun(fun(A,bool),fun(A,bool)),semilattice_sup_sup(fun(A,bool)),B),B)=ti(fun(A,bool),B).
% 0.92/1.10 Following clause subsumed by 1705 during input processing: 0 [copy,1962,flip.1] {-} hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,bool),fun(fun(A,bool),fun(A,bool)),semilattice_sup_sup(fun(A,bool)),B),C)=hAPP(fun(A,bool),fun(A,bool),collect(A),hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,fun(bool,bool)),fun(fun(A,bool),fun(A,bool)),combs(A,bool,bool),hAPP(fun(A,bool),fun(A,fun(bool,bool)),hAPP(fun(bool,fun(bool,bool)),fun(fun(A,bool),fun(A,fun(bool,bool))),combb(bool,fun(bool,bool),A),fdisj),hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,fun(fun(A,bool),bool)),fun(fun(A,bool),fun(A,bool)),combc(A,fun(A,bool),bool),member(A)),B))),hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,fun(fun(A,bool),bool)),fun(fun(A,bool),fun(A,bool)),combc(A,fun(A,bool),bool),member(A)),C))).
% 0.92/1.10 Following clause subsumed by 1712 during input processing: 0 [copy,1963,flip.1] {-} hAPP(fun(A,bool),fun(A,bool),collect(A),hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,fun(bool,bool)),fun(fun(A,bool),fun(A,bool)),combs(A,bool,bool),hAPP(fun(A,bool),fun(A,fun(bool,bool)),hAPP(fun(bool,fun(bool,bool)),fun(fun(A,bool),fun(A,fun(bool,bool))),combb(bool,fun(bool,bool),A),fdisj),B)),C))=hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,bool),fun(fun(A,bool),fun(A,bool)),semilattice_sup_sup(fun(A,bool)),hAPP(fun(A,bool),fun(A,bool),collect(A),B)),hAPP(fun(A,bool),fun(A,bool),collect(A),C)).
% 0.92/1.10 Following clause subsumed by 1731 during input processing: 0 [copy,1964,flip.1] {-} hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,bool),fun(fun(A,bool),fun(A,bool)),semilattice_inf_inf(fun(A,bool)),hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,bool),fun(fun(A,bool),fun(A,bool)),semilattice_sup_sup(fun(A,bool)),B),C)),D)=hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,bool),fun(fun(A,bool),fun(A,bool)),semilattice_sup_sup(fun(A,bool)),hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,bool),fun(fun(A,bool),fun(A,bool)),semilattice_inf_inf(fun(A,bool)),B),D)),hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,bool),fun(fun(A,bool),fun(A,bool)),semilattice_inf_inf(fun(A,bool)),C),D)).
% 0.92/1.10 Following clause subsumed by 1732 during input processing: 0 [copy,1965,flip.1] {-} hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,bool),fun(fun(A,bool),fun(A,bool)),semilattice_sup_sup(fun(A,bool)),hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,bool),fun(fun(A,bool),fun(A,bool)),semilattice_inf_inf(fun(A,bool)),B),C)),D)=hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,bool),fun(fun(A,bool),fun(A,bool)),semilattice_inf_inf(fun(A,bool)),hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,bool),fun(fun(A,bool),fun(A,bool)),semilattice_sup_sup(fun(A,bool)),B),D)),hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,bool),fun(fun(A,bool),fun(A,bool)),semilattice_sup_sup(fun(A,bool)),C),D)).
% 0.92/1.10 Following clause subsumed by 1735 during input processing: 0 [copy,1968,flip.1] {-} hAPP(fun(A,bool),fun(B,bool),hAPP(fun(A,B),fun(fun(A,bool),fun(B,bool)),image(A,B),hAPP(fun(A,B),fun(A,B),hAPP(fun(A,fun(B,B)),fun(fun(A,B),fun(A,B)),combs(A,B,B),hAPP(fun(A,B),fun(A,fun(B,B)),hAPP(fun(A,fun(B,fun(B,B))),fun(fun(A,B),fun(A,fun(B,B))),combs(A,B,fun(B,B)),hAPP(fun(A,bool),fun(A,fun(B,fun(B,B))),hAPP(fun(bool,fun(B,fun(B,B))),fun(fun(A,bool),fun(A,fun(B,fun(B,B)))),combb(bool,fun(B,fun(B,B)),A),if(B)),C)),D)),E)),F)=hAPP(fun(B,bool),fun(B,bool),hAPP(fun(B,bool),fun(fun(B,bool),fun(B,bool)),semilattice_sup_sup(fun(B,bool)),hAPP(fun(A,bool),fun(B,bool),hAPP(fun(A,B),fun(fun(A,bool),fun(B,bool)),image(A,B),D),hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,bool),fun(fun(A,bool),fun(A,bool)),semilattice_inf_inf(fun(A,bool)),F),hAPP(fun(A,bool),fun(A,bool),collect(A),C)))),hAPP(fun(A,bool),fun(B,bool),hAPP(fun(A,B),fun(fun(A,bool),fun(B,bool)),image(A,B),E),hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,bool),fun(fun(A,bool),fun(A,bool)),semilattice_inf_inf(fun(A,bool)),F),hAPP(fun(A,bool),fun(A,bool),collect(A),hAPP(fun(A,bool),fun(A,bool),hAPP(fun(bool,bool),fun(fun(A,bool),fun(A,bool)),combb(bool,bool,A),fNot),C))))).
% 0.92/1.10 Following clause subsumed by 1737 during input processing: 0 [copy,1969,flip.1] {-} hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,bool),fun(fun(A,bool),fun(A,bool)),semilattice_inf_inf(fun(A,bool)),B),hAPP(fun(A,bool),fun(A,bool),collect(A),hAPP(bool,fun(A,bool),combk(bool,A),fTrue)))=ti(fun(A,bool),B).
% 0.92/1.10 Following clause subsumed by 1739 during input processing: 0 [copy,1970,flip.1] {-} hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,bool),fun(fun(A,bool),fun(A,bool)),semilattice_inf_inf(fun(A,bool)),hAPP(fun(A,bool),fun(A,bool),collect(A),hAPP(bool,fun(A,bool),combk(bool,A),fTrue))),B)=ti(fun(A,bool),B).
% 0.92/1.10 Following clause subsumed by 1740 during input processing: 0 [copy,1971,flip.1] {-} hAPP(fun(A,bool),fun(A,bool),collect(A),hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,fun(bool,bool)),fun(fun(A,bool),fun(A,bool)),combs(A,bool,bool),hAPP(fun(A,bool),fun(A,fun(bool,bool)),hAPP(fun(bool,fun(bool,bool)),fun(fun(A,bool),fun(A,fun(bool,bool))),combb(bool,fun(bool,bool),A),fconj),B)),C))=hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,bool),fun(fun(A,bool),fun(A,bool)),semilattice_inf_inf(fun(A,bool)),hAPP(fun(A,bool),fun(A,bool),collect(A),B)),hAPP(fun(A,bool),fun(A,bool),collect(A),C)).
% 0.92/1.11 Following clause subsumed by 1747 during input processing: 0 [copy,1972,flip.1] {-} hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,bool),fun(fun(A,bool),fun(A,bool)),semilattice_inf_inf(fun(A,bool)),B),C)=hAPP(fun(A,bool),fun(A,bool),collect(A),hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,fun(bool,bool)),fun(fun(A,bool),fun(A,bool)),combs(A,bool,bool),hAPP(fun(A,bool),fun(A,fun(bool,bool)),hAPP(fun(bool,fun(bool,bool)),fun(fun(A,bool),fun(A,fun(bool,bool))),combb(bool,fun(bool,bool),A),fconj),hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,fun(fun(A,bool),bool)),fun(fun(A,bool),fun(A,bool)),combc(A,fun(A,bool),bool),member(A)),B))),hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,fun(fun(A,bool),bool)),fun(fun(A,bool),fun(A,bool)),combc(A,fun(A,bool),bool),member(A)),C))).
% 0.92/1.11 Following clause subsumed by 1748 during input processing: 0 [copy,1973,flip.1] {-} hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,bool),fun(fun(A,bool),fun(A,bool)),semilattice_inf_inf(fun(A,bool)),B),B)=ti(fun(A,bool),B).
% 0.92/1.11 Following clause subsumed by 1805 during input processing: 0 [copy,1976,flip.1] {-} hAPP(A,A,hAPP(A,fun(A,A),hAPP(bool,fun(A,fun(A,A)),if(A),fTrue),B),C)=ti(A,B).
% 0.92/1.11 Following clause subsumed by 1806 during input processing: 0 [copy,1977,flip.1] {-} hAPP(A,A,hAPP(A,fun(A,A),hAPP(bool,fun(A,fun(A,A)),if(A),fFalse),B),C)=ti(A,C).
% 0.92/1.11 Following clause subsumed by 1809 during input processing: 0 [copy,1978,flip.1] {-} hAPP(A,B,hAPP(fun(A,C),fun(A,B),hAPP(fun(C,B),fun(fun(A,C),fun(A,B)),combb(C,B,A),D),E),F)=hAPP(C,B,D,hAPP(A,C,E,F)).
% 0.92/1.11 Following clause subsumed by 1810 during input processing: 0 [copy,1979,flip.1] {-} hAPP(A,B,hAPP(C,fun(A,B),hAPP(fun(A,fun(C,B)),fun(C,fun(A,B)),combc(A,C,B),D),E),F)=hAPP(C,B,hAPP(A,fun(C,B),D,F),E).
% 0.92/1.11 Following clause subsumed by 1811 during input processing: 0 [copy,1980,flip.1] {-} hAPP(A,A,combi(A),B)=ti(A,B).
% 0.92/1.11 Following clause subsumed by 1812 during input processing: 0 [copy,1981,flip.1] {-} hAPP(A,B,hAPP(B,fun(A,B),combk(B,A),C),D)=ti(B,C).
% 0.92/1.11 Following clause subsumed by 1813 during input processing: 0 [copy,1982,flip.1] {-} hAPP(A,B,hAPP(fun(A,C),fun(A,B),hAPP(fun(A,fun(C,B)),fun(fun(A,C),fun(A,B)),combs(A,C,B),D),E),F)=hAPP(C,B,hAPP(A,fun(C,B),D,F),hAPP(A,C,E,F)).
% 0.92/1.11
% 0.92/1.11 ======= end of input processing =======
% 0.92/1.13
% 0.92/1.13 SEGMENTATION FAULT!! This is probably caused by a
% 0.92/1.13 bug in Otter. Please send copy of the input file to
% 0.92/1.13 otter@mcs.anl.gov, let us know what version of Otter you are
% 0.92/1.13 using, and send any other info that might be useful.
% 0.92/1.13
% 0.92/1.13
% 0.92/1.13 SEGMENTATION FAULT!! This is probably caused by a
% 0.92/1.13 bug in Otter. Please send copy of the input file to
% 0.92/1.13 otter@mcs.anl.gov, let us know what version of Otter you are
% 0.92/1.13 using, and send any other info that might be useful.
% 0.92/1.13
% 0.92/1.13
% 0.92/1.13 The job finished Sat Jul 2 06:30:08 2022
%------------------------------------------------------------------------------