TSTP Solution File: LCL801-1 by SOS---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : LCL801-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n004.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 : Sun Jul 17 14:33:03 EDT 2022
% Result : Unknown 0.40s 0.59s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : LCL801-1 : TPTP v8.1.0. Released v4.1.0.
% 0.08/0.14 % Command : sos-script %s
% 0.14/0.35 % Computer : n004.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Mon Jul 4 19:35:22 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.20/0.52 ----- Otter 3.2, August 2001 -----
% 0.20/0.52 The process was started by sandbox2 on n004.cluster.edu,
% 0.20/0.52 Mon Jul 4 19:35:23 2022
% 0.20/0.52 The command was "./sos". The process ID is 20505.
% 0.20/0.52
% 0.20/0.52 set(prolog_style_variables).
% 0.20/0.52 set(auto).
% 0.20/0.52 dependent: set(auto1).
% 0.20/0.52 dependent: set(process_input).
% 0.20/0.52 dependent: clear(print_kept).
% 0.20/0.52 dependent: clear(print_new_demod).
% 0.20/0.52 dependent: clear(print_back_demod).
% 0.20/0.52 dependent: clear(print_back_sub).
% 0.20/0.52 dependent: set(control_memory).
% 0.20/0.52 dependent: assign(max_mem, 12000).
% 0.20/0.52 dependent: assign(pick_given_ratio, 4).
% 0.20/0.52 dependent: assign(stats_level, 1).
% 0.20/0.52 dependent: assign(pick_semantic_ratio, 3).
% 0.20/0.52 dependent: assign(sos_limit, 5000).
% 0.20/0.52 dependent: assign(max_weight, 60).
% 0.20/0.52 clear(print_given).
% 0.20/0.52
% 0.20/0.52 list(usable).
% 0.20/0.52
% 0.20/0.52 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=6.
% 0.20/0.52
% 0.20/0.52 This ia a non-Horn set with equality. The strategy will be
% 0.20/0.52 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.20/0.52 unit deletion, with positive clauses in sos and nonpositive
% 0.20/0.52 clauses in usable.
% 0.20/0.52
% 0.20/0.52 dependent: set(knuth_bendix).
% 0.20/0.52 dependent: set(para_from).
% 0.20/0.52 dependent: set(para_into).
% 0.20/0.52 dependent: clear(para_from_right).
% 0.20/0.52 dependent: clear(para_into_right).
% 0.20/0.52 dependent: set(para_from_vars).
% 0.20/0.52 dependent: set(eq_units_both_ways).
% 0.20/0.52 dependent: set(dynamic_demod_all).
% 0.20/0.52 dependent: set(dynamic_demod).
% 0.20/0.52 dependent: set(order_eq).
% 0.20/0.52 dependent: set(back_demod).
% 0.20/0.52 dependent: set(lrpo).
% 0.20/0.52 dependent: set(hyper_res).
% 0.20/0.52 dependent: set(unit_deletion).
% 0.20/0.52 dependent: set(factor).
% 0.20/0.52
% 0.20/0.52 ------------> process usable:
% 0.20/0.52 Following clause subsumed by 15 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_in(A),B),C))|hBOOL(hAPP(hAPP(c_in(D),E),hAPP(F,B)))| -hBOOL(hAPP(hAPP(c_in(D),E),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,tc_fun(D,tc_bool)),C),F))).
% 0.20/0.52 Following clause subsumed by 15 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(A),B),hAPP(C,D)))| -hBOOL(hAPP(hAPP(c_in(E),D),F))| -hBOOL(hAPP(hAPP(c_in(A),B),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(E,tc_fun(A,tc_bool)),F),C))).
% 0.20/0.52 Following clause subsumed by 24 during input processing: 0 [] {-} c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C),A)| -c_Finite__Set_Ofinite(C,A)| -c_Finite__Set_Ofinite(B,A).
% 0.20/0.52 Following clause subsumed by 30 during input processing: 0 [] {-} c_List_Omap(A,B,C,D)!=c_List_Omap(A,E,C,D)| -c_Fun_Oinj__on(A,c_Orderings_Otop__class_Otop(tc_fun(C,tc_bool)),C,D)|B=E.
% 0.20/0.52 Following clause subsumed by 68 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)=hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),C),B).
% 0.20/0.52 Following clause subsumed by 81 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),B))|hBOOL(hAPP(hAPP(c_lessequals(A),B),B)).
% 0.20/0.52 Following clause subsumed by 81 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(hAPP(c_lessequals(A),B),C))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),C),B)).
% 0.20/0.52 Following clause subsumed by 83 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -hBOOL(hAPP(hAPP(c_lessequals(A),B),C))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),C),B)).
% 0.20/0.52 Following clause subsumed by 81 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C))|hBOOL(hAPP(hAPP(c_lessequals(A),C),B)).
% 0.20/0.52 Following clause subsumed by 128 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),A)).
% 0.20/0.52 Following clause subsumed by 140 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),C),B))|C=B.
% 0.20/0.52 Following clause subsumed by 141 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C| -hBOOL(hAPP(hAPP(c_lessequals(A),C),B))| -hBOOL(hAPP(hAPP(c_lessequals(A),B),C)).
% 0.20/0.52 Following clause subsumed by 141 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C| -hBOOL(hAPP(hAPP(c_lessequals(A),B),C))| -hBOOL(hAPP(hAPP(c_lessequals(A),C),B)).
% 0.20/0.52 Following clause subsumed by 140 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C))|C=B|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),C),B)).
% 0.20/0.52 Following clause subsumed by 140 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|B=C|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),C),B)).
% 0.20/0.52 Following clause subsumed by 159 during input processing: 0 [] {-} -c_Orderings_Olinorder(A,B,C)| -hBOOL(hAPP(hAPP(B,D),D)).
% 0.20/0.52 Following clause subsumed by 168 during input processing: 0 [] {-} hAPP(A,B)!=hAPP(A,C)| -hBOOL(hAPP(hAPP(c_in(D),C),E))| -hBOOL(hAPP(hAPP(c_in(D),B),E))| -c_Fun_Oinj__on(A,E,D,F)|B=C.
% 0.20/0.52 Following clause subsumed by 168 during input processing: 0 [] {-} hAPP(A,B)!=hAPP(A,C)| -hBOOL(hAPP(hAPP(c_in(D),C),E))| -hBOOL(hAPP(hAPP(c_in(D),B),E))| -c_Fun_Oinj__on(A,E,D,F)|B=C.
% 0.20/0.52 Following clause subsumed by 168 during input processing: 0 [] {-} hAPP(A,B)!=hAPP(A,C)| -c_Fun_Oinj__on(A,D,E,F)|B=C| -hBOOL(hAPP(hAPP(c_in(E),C),D))| -hBOOL(hAPP(hAPP(c_in(E),B),D)).
% 0.20/0.52 Following clause subsumed by 173 during input processing: 0 [] {-} -class_Lattices_Oupper__semilattice(A)|hBOOL(hAPP(hAPP(c_lessequals(A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C)),D))| -hBOOL(hAPP(hAPP(c_lessequals(A),C),D))| -hBOOL(hAPP(hAPP(c_lessequals(A),B),D)).
% 0.20/0.52 Following clause subsumed by 173 during input processing: 0 [] {-} -class_Lattices_Oupper__semilattice(A)|hBOOL(hAPP(hAPP(c_lessequals(A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C)),D))| -hBOOL(hAPP(hAPP(c_lessequals(A),C),D))| -hBOOL(hAPP(hAPP(c_lessequals(A),B),D)).
% 0.20/0.52 Following clause subsumed by 193 during input processing: 0 [] {-} hBOOL(hAPP(A,c_Hilbert__Choice_OEps(A,B)))| -hBOOL(hAPP(A,C)).
% 0.20/0.52 Following clause subsumed by 35 during input processing: 0 [] {-} hAPP(hAPP(c_Set_Oinsert(A),B),C)!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))|hBOOL(hAPP(hAPP(c_in(A),B),C)).
% 0.20/0.52 Following clause subsumed by 203 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(A),B),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,tc_fun(A,tc_bool)),D),E)))| -hBOOL(hAPP(hAPP(c_in(A),B),hAPP(E,F)))| -hBOOL(hAPP(hAPP(c_in(C),F),D)).
% 0.20/0.52 Following clause subsumed by 208 during input processing: 0 [] {-} -class_Lattices_Olower__semilattice(A)|hBOOL(hAPP(hAPP(c_lessequals(A),B),C))| -hBOOL(hAPP(hAPP(c_lessequals(A),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),D))).
% 0.20/0.52 Following clause subsumed by 209 during input processing: 0 [] {-} -class_Lattices_Olower__semilattice(A)|hBOOL(hAPP(hAPP(c_lessequals(A),B),C))| -hBOOL(hAPP(hAPP(c_lessequals(A),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),D),C))).
% 0.20/0.52 Following clause subsumed by 229 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(A,B),C))|hBOOL(hAPP(hAPP(D,C),B))| -c_Orderings_Olinorder(D,A,E).
% 0.20/0.52 Following clause subsumed by 228 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(A,B),C))| -hBOOL(hAPP(hAPP(D,C),B))| -c_Orderings_Olinorder(A,D,E).
% 0.20/0.52 Following clause subsumed by 229 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(A,B),C))|hBOOL(hAPP(hAPP(D,C),B))| -c_Orderings_Olinorder(D,A,E).
% 0.20/0.52 Following clause subsumed by 230 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(A,B),B))| -c_Orderings_Olinorder(C,A,D)|hBOOL(hAPP(hAPP(C,B),B)).
% 0.20/0.52 Following clause subsumed by 159 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(A,B),B))| -c_Orderings_Olinorder(A,C,D)| -hBOOL(hAPP(hAPP(C,B),B)).
% 0.20/0.52 Following clause subsumed by 35 during input processing: 0 [flip.1] {-} hAPP(hAPP(c_Set_Oinsert(A),B),C)!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 0.20/0.52 Following clause subsumed by 244 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_in(A),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))).
% 0.20/0.52 Following clause subsumed by 244 during input processing: 0 [] {-} hBOOL(hAPP(A,B))| -hBOOL(hAPP(hAPP(c_in(C),B),c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)))).
% 0.20/0.53 Following clause subsumed by 244 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_in(A),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))).
% 0.20/0.53 Following clause subsumed by 249 during input processing: 0 [] {-} -class_Lattices_Olower__semilattice(A)|hBOOL(hAPP(hAPP(c_lessequals(A),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),D)))| -hBOOL(hAPP(hAPP(c_lessequals(A),B),D))| -hBOOL(hAPP(hAPP(c_lessequals(A),B),C)).
% 0.20/0.53 Following clause subsumed by 249 during input processing: 0 [] {-} -class_Lattices_Olower__semilattice(A)|hBOOL(hAPP(hAPP(c_lessequals(A),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),D)))| -hBOOL(hAPP(hAPP(c_lessequals(A),B),D))| -hBOOL(hAPP(hAPP(c_lessequals(A),B),C)).
% 0.20/0.53 Following clause subsumed by 268 during input processing: 0 [flip.1] {-} c_List_Oappend(A,B,C)!=A|B=c_List_Olist_ONil(C).
% 0.20/0.53 Following clause subsumed by 269 during input processing: 0 [flip.1] {-} c_List_Oappend(B,A,C)!=A|B=c_List_Olist_ONil(C).
% 0.20/0.53 Following clause subsumed by 272 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),hAPP(hAPP(c_Pair(A,A),B),C)),D))| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),hAPP(hAPP(c_Pair(A,A),E),C)),D))| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),hAPP(hAPP(c_Pair(A,A),B),E)),D))| -hBOOL(c_Relation_Otrans(D,A)).
% 0.20/0.53 Following clause subsumed by 279 during input processing: 0 [] {-} -class_Lattices_Oupper__semilattice(A)|hBOOL(hAPP(hAPP(c_lessequals(A),B),C))| -hBOOL(hAPP(hAPP(c_lessequals(A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),D),B)),C)).
% 0.20/0.53 Following clause subsumed by 280 during input processing: 0 [] {-} -class_Lattices_Oupper__semilattice(A)|hBOOL(hAPP(hAPP(c_lessequals(A),B),C))| -hBOOL(hAPP(hAPP(c_lessequals(A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),D)),C)).
% 0.20/0.53 Following clause subsumed by 296 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(A,B),C))|B=C| -hBOOL(hAPP(hAPP(D,B),C))| -c_Orderings_Oorder(D,A,E).
% 0.20/0.53 Following clause subsumed by 296 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(A,B),C))|B=C| -hBOOL(hAPP(hAPP(D,B),C))| -c_Orderings_Oorder(D,A,E).
% 0.20/0.53 Following clause subsumed by 296 during input processing: 0 [] {-} A=B|hBOOL(hAPP(hAPP(C,A),B))| -hBOOL(hAPP(hAPP(D,A),B))| -c_Orderings_Oorder(D,C,E).
% 0.20/0.53 Following clause subsumed by 299 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,tc_fun(B,tc_bool)),C),D),E))| -hBOOL(hAPP(hAPP(D,F),E))| -hBOOL(hAPP(hAPP(c_in(A),F),C)).
% 0.20/0.53 Following clause subsumed by 304 during input processing: 0 [] {-} -class_Orderings_Owellorder(A)|hBOOL(hAPP(B,c_Orderings_Oord__class_OLeast(B,A)))| -hBOOL(hAPP(B,C)).
% 0.20/0.53 Following clause subsumed by 167 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(A),B),C))| -hBOOL(hAPP(hAPP(c_in(A),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),C),hAPP(c_Collect(A),D)))).
% 0.20/0.53 Following clause subsumed by 325 during input processing: 0 [] {-} A=B| -hBOOL(hAPP(hAPP(C,A),B))|hBOOL(hAPP(hAPP(D,A),B))| -c_Orderings_Olinorder(C,D,E).
% 0.20/0.53 Following clause subsumed by 341 during input processing: 0 [flip.2] {-} -class_OrderedGroup_Ogroup__add(A)|hAPP(c_HOL_Ouminus__class_Ouminus(A),hAPP(c_HOL_Ouminus__class_Ouminus(A),B))=B.
% 0.20/0.53 Following clause subsumed by 341 during input processing: 0 [flip.2] {-} -class_OrderedGroup_Ogroup__add(A)|hAPP(c_HOL_Ouminus__class_Ouminus(A),hAPP(c_HOL_Ouminus__class_Ouminus(A),B))=B.
% 0.20/0.53 Following clause subsumed by 341 during input processing: 0 [] {-} -class_OrderedGroup_Ogroup__add(A)|hAPP(c_HOL_Ouminus__class_Ouminus(A),hAPP(c_HOL_Ouminus__class_Ouminus(A),B))=B.
% 0.20/0.53 Following clause subsumed by 351 during input processing: 0 [] {-} -class_OrderedGroup_Opordered__ab__group__add(A)|hBOOL(hAPP(hAPP(c_lessequals(A),B),hAPP(c_HOL_Ouminus__class_Ouminus(A),C)))| -hBOOL(hAPP(hAPP(c_lessequals(A),C),hAPP(c_HOL_Ouminus__class_Ouminus(A),B))).
% 0.20/0.53 Following clause subsumed by 352 during input processing: 0 [] {-} -class_OrderedGroup_Opordered__ab__group__add(A)|hBOOL(hAPP(hAPP(c_lessequals(A),hAPP(c_HOL_Ouminus__class_Ouminus(A),B)),C))| -hBOOL(hAPP(hAPP(c_lessequals(A),hAPP(c_HOL_Ouminus__class_Ouminus(A),C)),B)).
% 0.20/0.53 Following clause subsumed by 353 during input processing: 0 [] {-} -class_OrderedGroup_Opordered__ab__group__add(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),hAPP(c_HOL_Ouminus__class_Ouminus(A),C)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),C),hAPP(c_HOL_Ouminus__class_Ouminus(A),B))).
% 0.20/0.53 Following clause subsumed by 354 during input processing: 0 [] {-} -class_OrderedGroup_Opordered__ab__group__add(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),hAPP(c_HOL_Ouminus__class_Ouminus(A),B)),C))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),hAPP(c_HOL_Ouminus__class_Ouminus(A),C)),B)).
% 0.20/0.53 Following clause subsumed by 378 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(tc_prod(A,B)),hAPP(hAPP(c_Pair(A,B),C),D)),c_Product__Type_OSigma(E,F,A,B)))| -hBOOL(hAPP(hAPP(c_in(B),D),hAPP(F,C)))| -hBOOL(hAPP(hAPP(c_in(A),C),E)).
% 0.20/0.53 Following clause subsumed by 379 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_in(A),B),C))|hBOOL(hAPP(hAPP(D,B),E))| -hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,tc_fun(F,tc_bool)),C),D),E)).
% 0.20/0.53 Following clause subsumed by 379 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(A,B),C))| -hBOOL(hAPP(hAPP(c_in(D),B),E))| -hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(D,tc_fun(F,tc_bool)),E),A),C)).
% 0.20/0.53 Following clause subsumed by 380 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(A),B),hAPP(hAPP(c_Set_Oinsert(A),C),D)))| -hBOOL(hAPP(hAPP(c_in(A),B),D)).
% 0.20/0.53 Following clause subsumed by 385 during input processing: 0 [] {-} A=B| -hBOOL(hAPP(hAPP(C,B),A))| -hBOOL(hAPP(hAPP(C,A),B))| -c_Orderings_Oorder(C,D,E).
% 0.20/0.53 Following clause subsumed by 385 during input processing: 0 [] {-} A=B| -hBOOL(hAPP(hAPP(C,A),B))| -hBOOL(hAPP(hAPP(C,B),A))| -c_Orderings_Oorder(C,D,E).
% 0.20/0.53 Following clause subsumed by 393 during input processing: 0 [] {-} hAPP(hAPP(hAPP(hAPP(c_Recdef_Ocut(A,B),C),D),E),F)=hAPP(C,F)| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),hAPP(hAPP(c_Pair(A,A),F),E)),D)).
% 0.20/0.53 Following clause subsumed by 399 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(A,B),C))|hBOOL(hAPP(hAPP(A,C),B))|C=B| -c_Orderings_Olinorder(D,A,E).
% 0.20/0.53 Following clause subsumed by 399 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(A,B),C))|C=B|hBOOL(hAPP(hAPP(A,C),B))| -c_Orderings_Olinorder(D,A,E).
% 0.20/0.53 Following clause subsumed by 399 during input processing: 0 [] {-} A=B|hBOOL(hAPP(hAPP(C,A),B))|hBOOL(hAPP(hAPP(C,B),A))| -c_Orderings_Olinorder(D,C,E).
% 0.20/0.53 Following clause subsumed by 400 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(A),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),C),D)))| -hBOOL(hAPP(hAPP(c_in(A),B),D))| -hBOOL(hAPP(hAPP(c_in(A),B),C)).
% 0.20/0.53 Following clause subsumed by 405 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C))| -hBOOL(hAPP(hAPP(c_lessequals(A),B),C))|C=B.
% 0.20/0.53 Following clause subsumed by 406 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C))|B=C| -hBOOL(hAPP(hAPP(c_lessequals(A),B),C)).
% 0.20/0.53 Following clause subsumed by 406 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C))|B=C| -hBOOL(hAPP(hAPP(c_lessequals(A),B),C)).
% 0.20/0.53 Following clause subsumed by 406 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C))| -hBOOL(hAPP(hAPP(c_lessequals(A),B),C))|B=C.
% 0.20/0.53 Following clause subsumed by 407 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|B=C|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C))| -hBOOL(hAPP(hAPP(c_lessequals(A),B),C)).
% 0.20/0.53 Following clause subsumed by 412 during input processing: 0 [flip.2] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)),D)=hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),C),D)).
% 0.20/0.55 Following clause subsumed by 412 during input processing: 0 [flip.2] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)),D)=hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),C),D)).
% 0.20/0.55 Following clause subsumed by 419 during input processing: 0 [] {-} -class_Orderings_Opreorder(A)| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),C),B)).
% 0.20/0.55 Following clause subsumed by 396 during input processing: 0 [copy,28,flip.1] {-} c_Lambda_OdB_OAbs(A)!=c_Lambda_OdB_OVar(B).
% 0.20/0.55 83 back subsumes 82.
% 0.20/0.55 Following clause subsumed by 347 during input processing: 0 [copy,104,flip.1] {-} hAPP(hAPP(c_Lambda_OdB_OApp,A),B)!=c_Lambda_OdB_OVar(C).
% 0.20/0.55 193 back subsumes 74.
% 0.20/0.55 244 back subsumes 184.
% 0.20/0.55 303 back subsumes 275.
% 0.20/0.55 Following clause subsumed by 104 during input processing: 0 [copy,347,flip.1] {-} c_Lambda_OdB_OVar(A)!=hAPP(hAPP(c_Lambda_OdB_OApp,B),C).
% 0.20/0.55 Following clause subsumed by 395 during input processing: 0 [copy,381,flip.1] {-} hAPP(hAPP(c_Lambda_OdB_OApp,A),B)!=c_Lambda_OdB_OAbs(C).
% 0.20/0.55 Following clause subsumed by 381 during input processing: 0 [copy,395,flip.1] {-} c_Lambda_OdB_OAbs(A)!=hAPP(hAPP(c_Lambda_OdB_OApp,B),C).
% 0.20/0.55 Following clause subsumed by 28 during input processing: 0 [copy,396,flip.1] {-} c_Lambda_OdB_OVar(A)!=c_Lambda_OdB_OAbs(B).
% 0.20/0.55 412 back subsumes 113.
% 0.20/0.55 413 back subsumes 114.
% 0.20/0.55 527 back subsumes 526.
% 0.20/0.55
% 0.20/0.55 ------------> process sos:
% 0.20/0.55 Following clause subsumed by 579 during input processing: 0 [] {-} hAPP(c_split(A,B,C,D),hAPP(hAPP(c_Pair(B,C),E),F))=hAPP(hAPP(A,E),F).
% 0.20/0.55 Following clause subsumed by 589 during input processing: 0 [demod,587] {-} A=A.
% 0.20/0.55 Following clause subsumed by 589 during input processing: 0 [demod,592] {-} A=A.
% 0.20/0.55 Following clause subsumed by 605 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(A,B),C),C)).
% 0.20/0.55 Following clause subsumed by 621 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(A),B),hAPP(hAPP(c_Set_Oinsert(A),B),C))).
% 0.20/0.55 Following clause subsumed by 621 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(A),B),hAPP(hAPP(c_Set_Oinsert(A),B),C))).
% 0.20/0.55 Following clause subsumed by 662 during input processing: 0 [factor_simp] {-} hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),B),C))|C=B|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),C),B)).
% 0.20/0.55 Following clause subsumed by 662 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),B))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),B),A))|B=A.
% 0.20/0.55 Following clause subsumed by 623 during input processing: 0 [] {-} hAPP(hAPP(c_Set_Oinsert(A),B),hAPP(hAPP(c_Set_Oinsert(A),C),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))))=hAPP(hAPP(c_Set_Oinsert(A),C),hAPP(hAPP(c_Set_Oinsert(A),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))).
% 0.20/0.55 Following clause subsumed by 664 during input processing: 0 [] {-} hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(C,tc_fun(A,tc_bool)),D),E))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(C,tc_fun(A,tc_bool)),D),hAPP(hAPP(c_COMBB(tc_fun(A,tc_bool),tc_fun(A,tc_bool),C),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B)),E)).
% 0.20/0.55 Following clause subsumed by 723 during input processing: 0 [] {-} hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,tc_fun(B,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))),hAPP(c_COMBK(tc_fun(B,tc_bool),A),C))=c_Orderings_Otop__class_Otop(tc_fun(B,tc_bool)).
% 0.20/0.55 Following clause subsumed by 589 during input processing: 0 [demod,720] {-} hAPP(D,hAPP(C,v_x))=hAPP(D,hAPP(C,v_x)).
% 0.20/0.55 Following clause subsumed by 752 during input processing: 0 [demod,688] {-} hAPP(hAPP(c_COMBS(A,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),A),c_and),B)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,tc_fun(A,tc_bool)),D),E))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,tc_fun(A,tc_bool)),D),hAPP(hAPP(c_COMBB(tc_fun(A,tc_bool),tc_fun(A,tc_bool),C),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B)),E)).
% 0.20/0.56 Following clause subsumed by 589 during input processing: 0 [demod,600,641] {-} hAPP(hAPP(c_Set_Oinsert(A),B),C)=hAPP(hAPP(c_Set_Oinsert(A),B),C).
% 0.20/0.56 Following clause subsumed by 589 during input processing: 0 [demod,626] {-} v_P=v_P.
% 0.20/0.56 Following clause subsumed by 589 during input processing: 0 [demod,592] {-} c_List_Olist_ONil(A)=c_List_Olist_ONil(A).
% 0.20/0.56 Following clause subsumed by 621 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(A),B),hAPP(hAPP(c_Set_Oinsert(A),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))))).
% 0.20/0.56 Following clause subsumed by 694 during input processing: 0 [] {-} hAPP(c_Product__Type_Oscomp(A,B,t_a,C,D,E),v_x)=hAPP(c_split(B,C,D,E),hAPP(A,v_x)).
% 0.20/0.56 Following clause subsumed by 589 during input processing: 0 [demod,619] {-} c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 0.20/0.56 Following clause subsumed by 589 during input processing: 0 [demod,592] {-} c_List_Olist_ONil(A)=c_List_Olist_ONil(A).
% 0.20/0.56 Following clause subsumed by 589 during input processing: 0 [demod,805] {-} c_List_Oappend(A,c_List_Oappend(B,C,D),D)=c_List_Oappend(A,c_List_Oappend(B,C,D),D).
% 0.20/0.56 Following clause subsumed by 589 during input processing: 0 [demod,805] {-} c_List_Oappend(A,c_List_Oappend(B,D,C),C)=c_List_Oappend(A,c_List_Oappend(B,D,C),C).
% 0.20/0.56 Following clause subsumed by 589 during input processing: 0 [demod,805] {-} c_List_Oappend(A,c_List_Oappend(B,C,D),D)=c_List_Oappend(A,c_List_Oappend(B,C,D),D).
% 0.20/0.56 Following clause subsumed by 589 during input processing: 0 [demod,631] {-} B=B.
% 0.20/0.56 Following clause subsumed by 851 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,v_ea______),v_ua______),v_T____)).
% 0.20/0.56 Following clause subsumed by 846 during input processing: 0 [] {-} hBOOL(hAPP(c_InductTermi_OIT,v_ua______)).
% 0.20/0.56 Following clause subsumed by 876 during input processing: 0 [] {-} hBOOL(c_List_Olistsp(hAPP(hAPP(c_COMBS(tc_Lambda_OdB,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_Lambda_OdB),c_and),c_InductTermi_OIT)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_bool),tc_bool,tc_Lambda_OdB),c_All(tc_fun(tc_nat,tc_Type_Otype))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_bool)),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_bool),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_bool),tc_bool,tc_fun(tc_nat,tc_Type_Otype)),c_All(tc_Type_Otype))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_bool))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_bool)),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_bool)),tc_fun(tc_Type_Otype,tc_bool),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_bool),tc_bool,tc_Type_Otype),c_All(tc_Lambda_OdB)))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_bool))),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_bool)),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_bool),tc_Type_Otype),hAPP(c_COMBB(tc_fun(tc_nat,tc_bool),tc_bool,tc_Lambda_OdB),c_All(tc_nat))))),hAPP(hAPP(c_COMBS(tc_Lambda_OdB,tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),tc_fun(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),tc_Lambda_OdB),c_COMBS(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)))),tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)))),tc_fun(tc_nat,tc_Type_Otype)),c_COMBC(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool)))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool))),tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)))),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool)),tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_Type_Otype),c_COMBB(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool),tc_Lambda_OdB)))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_fun(tc_bool,tc_bool)))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool)))),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_fun(tc_bool,tc_bool))),tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool))),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_fun(tc_nat,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool)),tc_Type_Otype),c_COMBS(tc_nat,tc_bool,tc_bool)))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_bool))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_fun(tc_bool,tc_bool)))),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_fun(tc_bool,tc_bool))),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_fun(tc_bool,tc_bool)),tc_Type_Otype),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_nat),c_implies)))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_nat,tc_fun(tc_Type_Otype,tc_bool))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_bool))),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_nat,tc_fun(tc_Type_Otype,tc_bool)),tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_Type_Otype)),c_COMBC(tc_nat,tc_Type_Otype,tc_bool))),hAPP(c_COMBC(tc_fun(tc_nat,tc_Type_Otype),tc_Lambda_OdB,tc_fun(tc_nat,tc_fun(tc_Type_Otype,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_nat,tc_fun(tc_Lambda_OdB,tc_fun(tc_Type_Otype,tc_bool))),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_fun(tc_Type_Otype,tc_bool))),tc_fun(tc_nat,tc_Type_Otype)),c_COMBC(tc_nat,tc_Lambda_OdB,tc_fun(tc_Type_Otype,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_nat,tc_fun(tc_nat,tc_Type_Otype)),tc_fun(tc_nat,tc_fun(tc_Lambda_OdB,tc_fun(tc_Type_Otype,tc_bool))),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_Type_Otype,tc_bool)),tc_nat),c_Type_Otyping)),hAPP(hAPP(c_COMBC(tc_fun(tc_nat,tc_Type_Otype),tc_Type_Otype,tc_fun(tc_nat,tc_fun(tc_nat,tc_Type_Otype))),hAPP(hAPP(c_COMBB(tc_fun(tc_nat,tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_Type_Otype))),tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_fun(tc_nat,tc_Type_Otype))),tc_fun(tc_nat,tc_Type_Otype)),c_COMBC(tc_nat,tc_Type_Otype,tc_fun(tc_nat,tc_Type_Otype))),c_Type_Oshift(tc_Type_Otype))),v_T____))))))))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBS(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_bool,tc_bool),tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool)),tc_Lambda_OdB),c_COMBB(tc_bool,tc_bool,tc_nat)),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_Lambda_OdB),c_implies),c_InductTermi_OIT))))),hAPP(hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_Lambda_OdB),hAPP(c_COMBC(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool))),tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_fun(tc_nat,tc_Type_Otype)),c_COMBS(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_fun(tc_bool,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool))),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_fun(tc_bool,tc_bool),tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool)),tc_Lambda_OdB),c_COMBB(tc_bool,tc_bool,tc_nat))),hAPP(hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_bool),tc_fun(tc_Lambda_OdB,tc_fun(tc_bool,tc_bool)),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_Lambda_OdB),c_implies)),hAPP(hAPP(c_COMBC(tc_fun(tc_nat,tc_Type_Otype),tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_fun(tc_Type_Otype,tc_bool)),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_bool)),tc_fun(tc_nat,tc_Type_Otype)),c_COMBC(tc_Lambda_OdB,tc_Type_Otype,tc_bool)),c_Type_Otyping)),v_T____)))))),hAPP(hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_nat,tc_Lambda_OdB),tc_fun(tc_nat,tc_bool),tc_Lambda_OdB),hAPP(c_COMBB(tc_Lambda_OdB,tc_bool,tc_nat),c_InductTermi_OIT))),c_Lambda_Osubst))))))))),v_rs____,tc_Lambda_OdB)).
% 0.20/0.56 Following clause subsumed by 882 during input processing: 0 [] {-} hAPP(hAPP(hAPP(c_COMBS(A,B,C),D),E),F)=hAPP(hAPP(D,F),hAPP(E,F)).
% 0.20/0.56 Following clause subsumed by 881 during input processing: 0 [] {-} hAPP(hAPP(hAPP(c_COMBC(A,B,C),D),E),F)=hAPP(hAPP(D,F),E).
% 0.20/0.56 Following clause subsumed by 589 during input processing: 0 [demod,880] {-} hAPP(D,hAPP(E,F))=hAPP(D,hAPP(E,F)).
% 0.20/0.56 Following clause subsumed by 589 during input processing: 0 [] {-} A=A.
% 0.20/0.56 Following clause subsumed by 589 during input processing: 0 [copy,589,flip.1] {-} A=A.
% 0.20/0.56 589 back subsumes 539.
% 0.20/0.56 589 back subsumes 538.
% 0.20/0.56 589 back subsumes 536.
% 0.20/0.56 589 back subsumes 520.
% 0.20/0.56 589 back subsumes 518.
% 0.20/0.56 589 back subsumes 517.
% 0.20/0.56 589 back subsumes 516.
% 0.20/0.56 589 back subsumes 515.
% 0.20/0.56 Following clause subsumed by 722 during input processing: 0 [copy,597,flip.1] {-} hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,tc_fun(B,tc_bool)),C),hAPP(hAPP(c_COMBB(tc_fun(B,tc_bool),tc_fun(B,tc_bool),A),hAPP(c_Set_Oinsert(B),D)),E))=hAPP(hAPP(c_Set_Oinsert(B),D),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,tc_fun(B,tc_bool)),C),E)).
% 0.20/0.56 Following clause subsumed by 623 during input processing: 0 [copy,623,flip.1] {-} hAPP(hAPP(c_Set_Oinsert(A),B),hAPP(hAPP(c_Set_Oinsert(A),C),D))=hAPP(hAPP(c_Set_Oinsert(A),C),hAPP(hAPP(c_Set_Oinsert(A),B),D)).
% 0.20/0.57 Following clause subsumed by 706 during input processing: 0 [copy,634,flip.1] {-} hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,tc_fun(B,tc_bool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,tc_fun(A,tc_bool)),D),E)),F)=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,tc_fun(B,tc_bool)),D),hAPP(hAPP(c_COMBC(C,tc_fun(A,tc_fun(B,tc_bool)),tc_fun(B,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(A,tc_bool),tc_fun(tc_fun(A,tc_fun(B,tc_bool)),tc_fun(B,tc_bool)),C),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,tc_fun(B,tc_bool))),E)),F)).
% 0.20/0.57 Following clause subsumed by 697 during input processing: 0 [copy,663,flip.1,demod,688] {-} hAPP(hAPP(c_COMBS(A,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),A),c_and),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(B,tc_fun(A,tc_bool)),C),D))),E)=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(B,tc_fun(A,tc_bool)),C),hAPP(hAPP(c_COMBC(B,tc_fun(A,tc_bool),tc_fun(A,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(A,tc_bool),tc_fun(tc_fun(A,tc_bool),tc_fun(A,tc_bool)),B),c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool))),D)),E)).
% 0.20/0.57 Following clause subsumed by 759 during input processing: 0 [copy,666,flip.1] {-} c_List_Olist_ONil(A)=c_List_Omap(B,c_List_Olist_ONil(C),C,A).
% 0.20/0.57 Following clause subsumed by 789 during input processing: 0 [copy,668,flip.1] {-} hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,tc_fun(B,tc_bool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,tc_fun(A,tc_bool)),D),E)),F)=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(C,tc_fun(B,tc_bool)),D),hAPP(hAPP(c_COMBC(C,tc_fun(A,tc_fun(B,tc_bool)),tc_fun(B,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(A,tc_bool),tc_fun(tc_fun(A,tc_fun(B,tc_bool)),tc_fun(B,tc_bool)),C),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,tc_fun(B,tc_bool))),E)),F)).
% 0.20/0.57 Following clause subsumed by 752 during input processing: 0 [copy,673,flip.1,demod,688] {-} hAPP(hAPP(c_COMBS(A,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),A),c_and),B)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,tc_fun(A,tc_bool)),D),E))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,tc_fun(A,tc_bool)),D),hAPP(hAPP(c_COMBB(tc_fun(A,tc_bool),tc_fun(A,tc_bool),C),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B)),E)).
% 0.20/0.57 Following clause subsumed by 634 during input processing: 0 [copy,706,flip.1] {-} hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,tc_fun(B,tc_bool)),C),hAPP(hAPP(c_COMBC(A,tc_fun(D,tc_fun(B,tc_bool)),tc_fun(B,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(D,tc_bool),tc_fun(tc_fun(D,tc_fun(B,tc_bool)),tc_fun(B,tc_bool)),A),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(D,tc_fun(B,tc_bool))),E)),F))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(D,tc_fun(B,tc_bool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,tc_fun(D,tc_bool)),C),E)),F).
% 0.20/0.57 Following clause subsumed by 597 during input processing: 0 [copy,722,flip.1] {-} hAPP(hAPP(c_Set_Oinsert(A),B),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(C,tc_fun(A,tc_bool)),D),E))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(C,tc_fun(A,tc_bool)),D),hAPP(hAPP(c_COMBB(tc_fun(A,tc_bool),tc_fun(A,tc_bool),C),hAPP(c_Set_Oinsert(A),B)),E)).
% 0.20/0.57 722 back subsumes 8.
% 0.20/0.57 723 back subsumes 681.
% 0.20/0.57 723 back subsumes 677.
% 0.20/0.57 Following clause subsumed by 962 during input processing: 0 [copy,752,flip.1] {-} hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,tc_fun(B,tc_bool)),C),hAPP(hAPP(c_COMBB(tc_fun(B,tc_bool),tc_fun(B,tc_bool),A),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,tc_bool)),D)),E))=hAPP(hAPP(c_COMBS(B,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),B),c_and),D)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,tc_fun(B,tc_bool)),C),E)).
% 0.20/0.57 Following clause subsumed by 666 during input processing: 0 [copy,759,flip.1] {-} c_List_Omap(A,c_List_Olist_ONil(B),B,C)=c_List_Olist_ONil(C).
% 0.20/0.58 Following clause subsumed by 668 during input processing: 0 [copy,789,flip.1] {-} hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,tc_fun(B,tc_bool)),C),hAPP(hAPP(c_COMBC(A,tc_fun(D,tc_fun(B,tc_bool)),tc_fun(B,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(D,tc_bool),tc_fun(tc_fun(D,tc_fun(B,tc_bool)),tc_fun(B,tc_bool)),A),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(D,tc_fun(B,tc_bool))),E)),F))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(D,tc_fun(B,tc_bool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,tc_fun(D,tc_bool)),C),E)),F).
% 0.20/0.58 Following clause subsumed by 579 during input processing: 0 [copy,917,flip.1] {-} hAPP(c_split(A,B,C,D),hAPP(hAPP(c_Pair(B,C),E),F))=hAPP(hAPP(A,E),F).
% 0.20/0.58 Following clause subsumed by 1060 during input processing: 0 [copy,943,flip.1] {-} hAPP(hAPP(c_COMBS(A,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),A),c_or),B)),hAPP(hAPP(c_Set_Oinsert(A),C),D))=hAPP(hAPP(c_Set_Oinsert(A),C),hAPP(hAPP(c_COMBS(A,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),A),c_or),B)),D)).
% 0.20/0.58 Following clause subsumed by 1024 during input processing: 0 [copy,944,flip.1] {-} hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,tc_fun(B,tc_bool)),C),hAPP(hAPP(c_COMBC(A,tc_fun(B,tc_bool),tc_fun(B,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(B,tc_bool),tc_fun(tc_fun(B,tc_bool),tc_fun(B,tc_bool)),A),c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,tc_bool))),D)),E))=hAPP(hAPP(c_COMBS(B,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),B),c_or),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,tc_fun(B,tc_bool)),C),D))),E).
% 0.20/0.58 Following clause subsumed by 970 during input processing: 0 [copy,945,flip.1] {-} hAPP(hAPP(c_COMBS(A,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),A),c_and),hAPP(hAPP(c_COMBB(tc_bool,tc_bool,A),c_Not),B))),B)=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 0.20/0.58 Following clause subsumed by 969 during input processing: 0 [copy,946,flip.1] {-} hAPP(hAPP(c_COMBS(A,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),A),c_and),B)),hAPP(hAPP(c_COMBB(tc_bool,tc_bool,A),c_Not),B))=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 0.20/0.58 Following clause subsumed by 998 during input processing: 0 [copy,948,flip.1] {-} hAPP(hAPP(c_COMBB(tc_bool,tc_bool,A),c_Not),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(B,tc_fun(A,tc_bool)),C),D))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(B,tc_fun(A,tc_bool)),C),hAPP(hAPP(c_COMBB(tc_fun(A,tc_bool),tc_fun(A,tc_bool),B),c_HOL_Ouminus__class_Ouminus(tc_fun(A,tc_bool))),D)).
% 0.20/0.58 Following clause subsumed by 624 during input processing: 0 [copy,949,flip.1] {-} hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,tc_fun(B,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(B,tc_bool),tc_fun(B,tc_bool),A),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,tc_bool)),C)),D))=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)).
% 0.20/0.58 Following clause subsumed by 950 during input processing: 0 [copy,950,flip.1] {-} hAPP(hAPP(c_COMBS(A,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),A),c_and),B)),hAPP(hAPP(c_COMBS(A,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),A),c_and),C)),D))=hAPP(hAPP(c_COMBS(A,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),A),c_and),C)),hAPP(hAPP(c_COMBS(A,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),A),c_and),B)),D)).
% 0.20/0.58 Following clause subsumed by 653 during input processing: 0 [copy,953,flip.1] {-} c_Product__Type_Oscomp(hAPP(c_Pair(A,B),C),D,B,A,B,E)=hAPP(D,C).
% 0.20/0.58 Following clause subsumed by 955 during input processing: 0 [copy,954,flip.1] {-} hAPP(hAPP(c_COMBS(A,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),A),c_or),B)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(C,tc_fun(A,tc_bool)),D),E))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(C,tc_fun(A,tc_bool)),D),hAPP(hAPP(c_COMBB(tc_fun(A,tc_bool),tc_fun(A,tc_bool),C),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B)),E)).
% 0.20/0.58 Following clause subsumed by 954 during input processing: 0 [copy,955,flip.1] {-} hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,tc_fun(B,tc_bool)),C),hAPP(hAPP(c_COMBB(tc_fun(B,tc_bool),tc_fun(B,tc_bool),A),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,tc_bool)),D)),E))=hAPP(hAPP(c_COMBS(B,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),B),c_or),D)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,tc_fun(B,tc_bool)),C),E)).
% 0.20/0.58 Following clause subsumed by 956 during input processing: 0 [copy,956,flip.1] {-} hAPP(hAPP(c_COMBS(A,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),A),c_or),B)),hAPP(hAPP(c_COMBS(A,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),A),c_or),C)),D))=hAPP(hAPP(c_COMBS(A,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),A),c_or),C)),hAPP(hAPP(c_COMBS(A,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),A),c_or),B)),D)).
% 0.20/0.58 Following clause subsumed by 957 during input processing: 0 [copy,957,flip.1] {-} hAPP(hAPP(c_COMBS(A,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),A),c_and),B)),C)=hAPP(hAPP(c_COMBS(A,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),A),c_and),C)),B).
% 0.20/0.58 Following clause subsumed by 1008 during input processing: 0 [copy,958,flip.1] {-} hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,tc_fun(B,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(B,tc_bool),tc_fun(B,tc_bool),A),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,tc_bool)),C)),D))=hAPP(hAPP(c_COMBB(tc_bool,tc_bool,B),c_Not),c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool))).
% 0.20/0.58 Following clause subsumed by 1008 during input processing: 0 [copy,959,flip.1] {-} hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,tc_fun(B,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))),hAPP(hAPP(c_COMBC(A,tc_fun(B,tc_bool),tc_fun(B,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(B,tc_bool),tc_fun(tc_fun(B,tc_bool),tc_fun(B,tc_bool)),A),c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,tc_bool))),C)),D))=hAPP(hAPP(c_COMBB(tc_bool,tc_bool,B),c_Not),c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool))).
% 0.20/0.58 Following clause subsumed by 997 during input processing: 0 [copy,960,flip.1] {-} hAPP(hAPP(c_COMBS(A,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),A),c_implies),B)),B)=hAPP(hAPP(c_COMBB(tc_bool,tc_bool,A),c_Not),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))).
% 0.20/0.58 Following clause subsumed by 996 during input processing: 0 [copy,961,flip.1] {-} hAPP(hAPP(c_COMBS(A,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),A),c_or),B)),hAPP(hAPP(c_COMBB(tc_bool,tc_bool,A),c_Not),B))=hAPP(hAPP(c_COMBB(tc_bool,tc_bool,A),c_Not),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))).
% 0.20/0.58 Following clause subsumed by 752 during input processing: 0 [copy,962,flip.1] {-} hAPP(hAPP(c_COMBS(A,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),A),c_and),B)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,tc_fun(A,tc_bool)),D),E))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,tc_fun(A,tc_bool)),D),hAPP(hAPP(c_COMBB(tc_fun(A,tc_bool),tc_fun(A,tc_bool),C),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B)),E)).
% 0.20/0.58 Following clause subsumed by 946 during input processing: 0 [copy,969,flip.1] {-} c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=hAPP(hAPP(c_COMBS(A,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),A),c_and),B)),hAPP(hAPP(c_COMBB(tc_bool,tc_bool,A),c_Not),B)).
% 0.20/0.58 Following clause subsumed by 945 during input processing: 0 [copy,970,flip.1] {-} c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=hAPP(hAPP(c_COMBS(A,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),A),c_and),hAPP(hAPP(c_COMBB(tc_bool,tc_bool,A),c_Not),B))),B).
% 0.20/0.58 Following clause subsumed by 694 during input processing: 0 [copy,993,flip.1] {-} hAPP(c_Product__Type_Oscomp(A,B,C,D,E,F),G)=hAPP(c_split(B,D,E,F),hAPP(A,G)).
% 0.20/0.58 Following clause subsumed by 695 during input processing: 0 [copy,994,flip.1] {-} hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,tc_fun(B,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))),hAPP(c_COMBK(tc_fun(B,tc_bool),A),C))=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)).
% 0.20/0.58 Following clause subsumed by 697 during input processing: 0 [copy,995,flip.1] {-} hAPP(hAPP(c_COMBS(A,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),A),c_and),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(B,tc_fun(A,tc_bool)),C),D))),E)=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(B,tc_fun(A,tc_bool)),C),hAPP(hAPP(c_COMBC(B,tc_fun(A,tc_bool),tc_fun(A,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(A,tc_bool),tc_fun(tc_fun(A,tc_bool),tc_fun(A,tc_bool)),B),c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool))),D)),E)).
% 0.20/0.58 Following clause subsumed by 961 during input processing: 0 [copy,996,flip.1] {-} hAPP(hAPP(c_COMBB(tc_bool,tc_bool,A),c_Not),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))=hAPP(hAPP(c_COMBS(A,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),A),c_or),B)),hAPP(hAPP(c_COMBB(tc_bool,tc_bool,A),c_Not),B)).
% 0.20/0.58 Following clause subsumed by 960 during input processing: 0 [copy,997,flip.1] {-} hAPP(hAPP(c_COMBB(tc_bool,tc_bool,A),c_Not),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))=hAPP(hAPP(c_COMBS(A,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),A),c_implies),B)),B).
% 0.20/0.58 Following clause subsumed by 948 during input processing: 0 [copy,998,flip.1] {-} hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,tc_fun(B,tc_bool)),C),hAPP(hAPP(c_COMBB(tc_fun(B,tc_bool),tc_fun(B,tc_bool),A),c_HOL_Ouminus__class_Ouminus(tc_fun(B,tc_bool))),D))=hAPP(hAPP(c_COMBB(tc_bool,tc_bool,B),c_Not),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,tc_fun(B,tc_bool)),C),D)).
% 0.20/0.58 Following clause subsumed by 1002 during input processing: 0 [copy,1002,flip.1] {-} hAPP(hAPP(c_COMBS(A,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),A),c_or),B)),C)=hAPP(hAPP(c_COMBS(A,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),A),c_or),C)),B).
% 0.20/0.58 Following clause subsumed by 711 during input processing: 0 [copy,1003,flip.1] {-} hAPP(hAPP(hAPP(c_COMBS(t_a,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),t_a),c_and),A)),B),v_x)=hAPP(hAPP(c_in(t_a),v_x),hAPP(hAPP(c_COMBS(t_a,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),t_a),c_and),A)),B)).
% 0.20/0.58 Following clause subsumed by 1044 during input processing: 0 [copy,1004,flip.1] {-} hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,tc_fun(B,tc_bool)),hAPP(hAPP(c_Set_Oinsert(A),C),D)),E)=hAPP(hAPP(c_COMBS(B,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),B),c_or),hAPP(E,C))),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,tc_fun(B,tc_bool)),D),E)).
% 0.20/0.58 Following clause subsumed by 721 during input processing: 0 [copy,1005,flip.1] {-} hAPP(hAPP(c_Set_Oinsert(A),B),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,tc_fun(A,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))),D))=hAPP(hAPP(c_Set_Oinsert(A),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))).
% 0.20/0.58 Following clause subsumed by 1008 during input processing: 0 [copy,1006,flip.1] {-} hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,tc_fun(B,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))),C)=hAPP(hAPP(c_COMBB(tc_bool,tc_bool,B),c_Not),c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool))).
% 0.20/0.58 1006 back subsumes 959.
% 0.20/0.58 1006 back subsumes 958.
% 0.20/0.58 Following clause subsumed by 1006 during input processing: 0 [copy,1008,flip.1] {-} hAPP(hAPP(c_COMBB(tc_bool,tc_bool,A),c_Not),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(B,tc_fun(A,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool))),C).
% 0.20/0.58 Following clause subsumed by 944 during input processing: 0 [copy,1024,flip.1] {-} hAPP(hAPP(c_COMBS(A,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),A),c_or),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(B,tc_fun(A,tc_bool)),C),D))),E)=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(B,tc_fun(A,tc_bool)),C),hAPP(hAPP(c_COMBC(B,tc_fun(A,tc_bool),tc_fun(A,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(A,tc_bool),tc_fun(tc_fun(A,tc_bool),tc_fun(A,tc_bool)),B),c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool))),D)),E)).
% 0.20/0.58 Following clause subsumed by 760 during input processing: 0 [copy,1025,flip.1] {-} hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,tc_fun(B,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))),hAPP(hAPP(c_COMBC(A,tc_fun(B,tc_bool),tc_fun(B,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(B,tc_bool),tc_fun(tc_fun(B,tc_bool),tc_fun(B,tc_bool)),A),c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,tc_bool))),C)),D))=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)).
% 0.20/0.58 Following clause subsumed by 765 during input processing: 0 [copy,1026,flip.1] {-} c_List_Ofoldl(A,B,c_List_Oappend(C,D,E),F,E)=c_List_Ofoldl(A,c_List_Ofoldl(A,B,C,F,E),D,F,E).
% 0.20/0.58 Following clause subsumed by 782 during input processing: 0 [copy,1027,flip.1] {-} hAPP(hAPP(c_COMBC(A,A,tc_bool),c_fequal(A)),B)=hAPP(hAPP(c_Set_Oinsert(A),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))).
% 0.20/0.58 Following clause subsumed by 1039 during input processing: 0 [copy,1028,flip.1] {-} hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,tc_fun(B,tc_bool)),hAPP(hAPP(c_COMBS(A,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),A),c_or),C)),D)),E)=hAPP(hAPP(c_COMBS(B,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),B),c_and),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,tc_fun(B,tc_bool)),C),E))),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,tc_fun(B,tc_bool)),D),E)).
% 0.20/0.58 Following clause subsumed by 1038 during input processing: 0 [copy,1029,flip.1] {-} hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,tc_fun(B,tc_bool)),hAPP(hAPP(c_COMBS(A,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),A),c_or),C)),D)),E)=hAPP(hAPP(c_COMBS(B,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),B),c_or),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,tc_fun(B,tc_bool)),C),E))),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,tc_fun(B,tc_bool)),D),E)).
% 0.20/0.58 Following clause subsumed by 796 during input processing: 0 [copy,1030,flip.1] {-} hAPP(c_fequal(A),B)=hAPP(hAPP(c_Set_Oinsert(A),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))).
% 0.20/0.58 Following clause subsumed by 799 during input processing: 0 [copy,1031,flip.1] {-} hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,tc_fun(B,tc_bool)),hAPP(hAPP(c_Set_Oinsert(A),C),D)),E)=hAPP(hAPP(c_COMBS(B,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),B),c_and),hAPP(E,C))),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,tc_fun(B,tc_bool)),D),E)).
% 0.20/0.58 Following clause subsumed by 803 during input processing: 0 [copy,1035,flip.1] {-} hAPP(hAPP(c_Fun_Ofcomp(A,B,C),hAPP(hAPP(c_Fun_Ofcomp(A,D,B),E),F)),G)=hAPP(hAPP(c_Fun_Ofcomp(A,D,C),E),hAPP(hAPP(c_Fun_Ofcomp(D,B,C),F),G)).
% 0.20/0.58 Following clause subsumed by 808 during input processing: 0 [copy,1036,flip.1] {-} hAPP(hAPP(c_Fun_Ofcomp(A,B,C),c_Product__Type_Oscomp(D,E,A,F,G,B)),H)=c_Product__Type_Oscomp(D,hAPP(hAPP(c_COMBC(F,tc_fun(B,C),tc_fun(G,C)),hAPP(hAPP(c_COMBB(tc_fun(G,B),tc_fun(tc_fun(B,C),tc_fun(G,C)),F),c_Fun_Ofcomp(G,B,C)),E)),H),A,F,G,C).
% 0.20/0.58 Following clause subsumed by 1029 during input processing: 0 [copy,1038,flip.1] {-} hAPP(hAPP(c_COMBS(A,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),A),c_or),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(B,tc_fun(A,tc_bool)),C),D))),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(B,tc_fun(A,tc_bool)),E),D))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(B,tc_fun(A,tc_bool)),hAPP(hAPP(c_COMBS(B,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),B),c_or),C)),E)),D).
% 0.20/0.58 Following clause subsumed by 1028 during input processing: 0 [copy,1039,flip.1] {-} hAPP(hAPP(c_COMBS(A,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),A),c_and),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(B,tc_fun(A,tc_bool)),C),D))),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(B,tc_fun(A,tc_bool)),E),D))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(B,tc_fun(A,tc_bool)),hAPP(hAPP(c_COMBS(B,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),B),c_or),C)),E)),D).
% 0.20/0.58 Following clause subsumed by 1004 during input processing: 0 [copy,1044,flip.1] {-} hAPP(hAPP(c_COMBS(A,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),A),c_or),hAPP(B,C))),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(D,tc_fun(A,tc_bool)),E),B))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(D,tc_fun(A,tc_bool)),hAPP(hAPP(c_Set_Oinsert(D),C),E)),B).
% 0.20/0.58 Following clause subsumed by 943 during input processing: 0 [copy,1060,flip.1] {-} hAPP(hAPP(c_Set_Oinsert(A),B),hAPP(hAPP(c_COMBS(A,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),A),c_or),C)),D))=hAPP(hAPP(c_COMBS(A,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),A),c_or),C)),hAPP(hAPP(c_Set_Oinsert(A),B),D)).
% 0.20/0.58 Following clause subsumed by 825 during input processing: 0 [copy,1072,flip.1] {-} hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(c_Lambda_OdB_OApp,A),B)),C),D)=hAPP(hAPP(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,A),C),D)),hAPP(hAPP(hAPP(c_Lambda_Osubst,B),C),D)).
% 0.20/0.58 Following clause subsumed by 829 during input processing: 0 [copy,1073,flip.1] {-} hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,tc_fun(B,tc_bool)),C),D)=hAPP(hAPP(c_COMBB(tc_fun(A,tc_bool),tc_bool,B),c_All(A)),hAPP(hAPP(c_COMBB(tc_fun(A,tc_bool),tc_fun(A,tc_bool),B),hAPP(c_COMBS(A,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),A),c_implies),C))),hAPP(hAPP(c_COMBC(B,tc_fun(A,tc_fun(B,tc_bool)),tc_fun(A,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(B,tc_bool),tc_bool),tc_fun(tc_fun(A,tc_fun(B,tc_bool)),tc_fun(A,tc_bool)),B),c_COMBB(tc_fun(B,tc_bool),tc_bool,A)),c_in(B))),D))).
% 0.20/0.58 Following clause subsumed by 837 during input processing: 0 [copy,1074,flip.1] {-} c_split(hAPP(hAPP(c_COMBS(A,tc_fun(B,tc_bool),tc_fun(B,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_bool,tc_bool),tc_fun(tc_fun(B,tc_bool),tc_fun(B,tc_bool)),A),c_COMBB(tc_bool,tc_bool,B)),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),A),c_and),C))),D),A,B,tc_bool)=c_Product__Type_OSigma(C,hAPP(hAPP(c_COMBB(tc_fun(B,tc_bool),tc_fun(B,tc_bool),A),c_Collect(B)),D),A,B).
% 0.20/0.58 Following clause subsumed by 839 during input processing: 0 [copy,1075,flip.1] {-} hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,tc_fun(B,tc_bool)),C),hAPP(hAPP(c_COMBS(A,tc_fun(B,tc_bool),tc_fun(B,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(B,tc_bool),tc_fun(tc_fun(B,tc_bool),tc_fun(B,tc_bool)),A),c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,tc_bool))),D)),E))=hAPP(hAPP(c_COMBS(B,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),B),c_and),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,tc_fun(B,tc_bool)),C),D))),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,tc_fun(B,tc_bool)),C),E)).
% 0.20/0.58 Following clause subsumed by 841 during input processing: 0 [copy,1076,flip.1] {-} hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,tc_fun(B,tc_bool)),C),hAPP(hAPP(c_COMBS(A,tc_fun(B,tc_bool),tc_fun(B,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(B,tc_bool),tc_fun(tc_fun(B,tc_bool),tc_fun(B,tc_bool)),A),c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,tc_bool))),D)),E))=hAPP(hAPP(c_COMBS(B,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),B),c_or),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,tc_fun(B,tc_bool)),C),D))),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,tc_fun(B,tc_bool)),C),E)).
% 0.20/0.58 Following clause subsumed by 854 during input processing: 0 [copy,1077,flip.1] {-} hAPP(hAPP(c_COMBB(tc_fun(A,tc_bool),tc_bool,B),c_All(A)),C)=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,tc_fun(B,tc_bool)),hAPP(hAPP(c_COMBB(tc_bool,tc_bool,A),c_Not),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))),hAPP(hAPP(c_COMBB(tc_fun(B,tc_bool),tc_fun(B,tc_bool),A),c_Collect(B)),hAPP(c_COMBC(B,A,tc_bool),C))).
% 0.20/0.58 Following clause subsumed by 855 during input processing: 0 [copy,1078,flip.1] {-} c_List_Ofoldl(A,B,c_List_Omap(C,D,E,F),G,F)=c_List_Ofoldl(hAPP(hAPP(c_COMBC(G,tc_fun(E,F),tc_fun(E,G)),hAPP(hAPP(c_COMBB(tc_fun(F,G),tc_fun(tc_fun(E,F),tc_fun(E,G)),G),c_COMBB(F,G,E)),A)),C),B,D,G,E).
% 0.20/0.58 Following clause subsumed by 868 during input processing: 0 [copy,1080,flip.1] {-} hAPP(hAPP(c_COMBB(tc_fun(A,tc_bool),tc_bool,B),c_All(A)),hAPP(hAPP(c_COMBB(tc_fun(A,tc_bool),tc_fun(A,tc_bool),B),hAPP(c_COMBS(A,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),A),c_implies),C))),D))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,tc_fun(B,tc_bool)),C),hAPP(hAPP(c_COMBB(tc_fun(B,tc_bool),tc_fun(B,tc_bool),A),c_Collect(B)),hAPP(c_COMBC(B,A,tc_bool),D))).
% 0.20/0.58 Following clause subsumed by 873 during input processing: 0 [copy,1081,flip.1] {-} hAPP(hAPP(c_COMBS(A,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),A),c_and),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(B,tc_fun(A,tc_bool)),C),D))),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(E,tc_fun(A,tc_bool)),F),G))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(B,tc_fun(A,tc_bool)),C),hAPP(hAPP(c_COMBB(tc_fun(E,tc_fun(A,tc_bool)),tc_fun(A,tc_bool),B),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(E,tc_fun(A,tc_bool)),F)),hAPP(hAPP(c_COMBC(B,tc_fun(E,tc_fun(A,tc_bool)),tc_fun(E,tc_fun(A,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(A,tc_bool),tc_fun(A,tc_bool)),tc_fun(tc_fun(E,tc_fun(A,tc_bool)),tc_fun(E,tc_fun(A,tc_bool))),B),c_COMBB(tc_fun(A,tc_bool),tc_fun(A,tc_bool),E)),hAPP(hAPP(c_COMBB(tc_fun(A,tc_bool),tc_fun(tc_fun(A,tc_bool),tc_fun(A,tc_bool)),B),c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool))),D))),G))).
% 0.20/0.58 Following clause subsumed by 875 during input processing: 0 [copy,1082,flip.1] {-} hAPP(hAPP(c_COMBS(A,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),A),c_or),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(B,tc_fun(A,tc_bool)),C),D))),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(E,tc_fun(A,tc_bool)),F),G))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(B,tc_fun(A,tc_bool)),C),hAPP(hAPP(c_COMBB(tc_fun(E,tc_fun(A,tc_bool)),tc_fun(A,tc_bool),B),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(E,tc_fun(A,tc_bool)),F)),hAPP(hAPP(c_COMBC(B,tc_fun(E,tc_fun(A,tc_bool)),tc_fun(E,tc_fun(A,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(A,tc_bool),tc_fun(A,tc_bool)),tc_fun(tc_fun(E,tc_fun(A,tc_bool)),tc_fun(E,tc_fun(A,tc_bool))),B),c_COMBB(tc_fun(A,tc_bool),tc_fun(A,tc_bool),E)),hAPP(hAPP(c_COMBB(tc_fun(A,tc_bool),tc_fun(tc_fun(A,tc_bool),tc_fun(A,tc_bool)),B),c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool))),D))),G))).
% 0.20/0.58 Following clause subsumed by 881 during input processing: 0 [copy,1083,flip.1] {-} hAPP(hAPP(hAPP(c_COMBC(A,B,C),D),E),F)=hAPP(hAPP(D,F),E).
% 0.20/0.58 Following clause subsumed by 882 during input processing: 0 [copy,1084,flip.1] {-} hAPP(hAPP(hAPP(c_COMBS(A,B,C),D),E),F)=hAPP(hAPP(D,F),hAPP(E,F)).
% 0.20/0.58 Following clause subsumed by 947 during input processing: 0 [copy,1085,flip.1] {-} hAPP(hAPP(c_COMBS(A,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),A),c_or),hAPP(hAPP(c_COMBS(A,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),A),c_and),B)),C))),hAPP(hAPP(c_COMBS(A,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),A),c_and),D)),C))=hAPP(hAPP(c_COMBS(A,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),A),c_and),hAPP(hAPP(c_COMBS(A,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),A),c_or),B)),D))),C).
% 0.20/0.58 Following clause subsumed by 1007 during input processing: 0 [copy,1086,flip.1] {-} hAPP(hAPP(c_COMBS(A,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),A),c_and),hAPP(hAPP(c_COMBS(A,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),A),c_or),B)),C))),hAPP(hAPP(c_COMBS(A,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),A),c_or),D)),C))=hAPP(hAPP(c_COMBS(A,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),A),c_or),hAPP(hAPP(c_COMBS(A,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),A),c_and),B)),D))),C).
% 0.20/0.58 Following clause subsumed by 1034 during input processing: 0 [copy,1087,flip.1] {-} hAPP(hAPP(hAPP(c_COMBS(t_a,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),t_a),c_or),A)),B),v_x)=hAPP(hAPP(c_in(t_a),v_x),hAPP(hAPP(c_COMBS(t_a,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),t_a),c_or),A)),B)).
% 0.20/0.58
% 0.20/0.58 ======= end of input processing =======
% 0.20/0.58
% 0.20/0.58 SEGMENTATION FAULT!! This is probably caused by a
% 0.20/0.58 bug in Otter. Please send copy of the input file to
% 0.20/0.58 otter@mcs.anl.gov, let us know what version of Otter you are
% 0.20/0.58 using, and send any other info that might be useful.
% 0.20/0.58
% 0.20/0.58
% 0.20/0.58 SEGMENTATION FAULT!! This is probably caused by a
% 0.20/0.58 bug in Otter. Please send copy of the input file to
% 0.20/0.58 otter@mcs.anl.gov, let us know what version of Otter you are
% 0.20/0.58 using, and send any other info that might be useful.
% 0.20/0.58
% 0.20/0.58
% 0.20/0.58 The job finished Mon Jul 4 19:35:23 2022
%------------------------------------------------------------------------------