TSTP Solution File: SCT016-1 by SOS---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : SCT016-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n027.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 22:11:41 EDT 2022
% Result : Unknown 0.44s 0.63s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.07 % Problem : SCT016-1 : TPTP v8.1.0. Released v4.1.0.
% 0.05/0.07 % Command : sos-script %s
% 0.07/0.26 % Computer : n027.cluster.edu
% 0.07/0.26 % Model : x86_64 x86_64
% 0.07/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26 % Memory : 8042.1875MB
% 0.07/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26 % CPULimit : 300
% 0.07/0.26 % WCLimit : 600
% 0.07/0.26 % DateTime : Sat Jul 2 01:14:38 EDT 2022
% 0.07/0.26 % CPUTime :
% 0.10/0.48 ----- Otter 3.2, August 2001 -----
% 0.10/0.48 The process was started by sandbox on n027.cluster.edu,
% 0.10/0.48 Sat Jul 2 01:14:38 2022
% 0.10/0.48 The command was "./sos". The process ID is 31703.
% 0.10/0.48
% 0.10/0.48 set(prolog_style_variables).
% 0.10/0.48 set(auto).
% 0.10/0.48 dependent: set(auto1).
% 0.10/0.48 dependent: set(process_input).
% 0.10/0.48 dependent: clear(print_kept).
% 0.10/0.48 dependent: clear(print_new_demod).
% 0.10/0.48 dependent: clear(print_back_demod).
% 0.10/0.48 dependent: clear(print_back_sub).
% 0.10/0.48 dependent: set(control_memory).
% 0.10/0.48 dependent: assign(max_mem, 12000).
% 0.10/0.48 dependent: assign(pick_given_ratio, 4).
% 0.10/0.48 dependent: assign(stats_level, 1).
% 0.10/0.48 dependent: assign(pick_semantic_ratio, 3).
% 0.10/0.48 dependent: assign(sos_limit, 5000).
% 0.10/0.48 dependent: assign(max_weight, 60).
% 0.10/0.48 clear(print_given).
% 0.10/0.48
% 0.10/0.48 list(usable).
% 0.10/0.48
% 0.10/0.48 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=6.
% 0.10/0.48
% 0.10/0.48 This ia a non-Horn set with equality. The strategy will be
% 0.10/0.48 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.10/0.48 unit deletion, with positive clauses in sos and nonpositive
% 0.10/0.48 clauses in usable.
% 0.10/0.48
% 0.10/0.48 dependent: set(knuth_bendix).
% 0.10/0.48 dependent: set(para_from).
% 0.10/0.48 dependent: set(para_into).
% 0.10/0.48 dependent: clear(para_from_right).
% 0.10/0.48 dependent: clear(para_into_right).
% 0.10/0.48 dependent: set(para_from_vars).
% 0.10/0.48 dependent: set(eq_units_both_ways).
% 0.10/0.48 dependent: set(dynamic_demod_all).
% 0.10/0.48 dependent: set(dynamic_demod).
% 0.10/0.48 dependent: set(order_eq).
% 0.10/0.48 dependent: set(back_demod).
% 0.10/0.48 dependent: set(lrpo).
% 0.10/0.48 dependent: set(hyper_res).
% 0.10/0.48 dependent: set(unit_deletion).
% 0.10/0.48 dependent: set(factor).
% 0.10/0.48
% 0.10/0.48 ------------> process usable:
% 0.10/0.48 Following clause subsumed by 10 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_in(A),B),C))| -c_Fun_Oinj__on(D,C,A,E)|hAPP(c_Hilbert__Choice_Oinv__into(C,D,A,E),hAPP(D,B))=B.
% 0.10/0.48 Following clause subsumed by 11 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),C),B).
% 0.10/0.48 Following clause subsumed by 47 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.
% 0.10/0.48 Following clause subsumed by 48 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)).
% 0.10/0.48 Following clause subsumed by 48 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)).
% 0.10/0.48 Following clause subsumed by 85 during input processing: 0 [flip.2] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C)),D)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),C),D)).
% 0.10/0.48 Following clause subsumed by 85 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C)),D)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),C),D)).
% 0.10/0.48 Following clause subsumed by 92 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Predicate_Oconversep(A,B,C),D),E))| -hBOOL(hAPP(hAPP(A,E),D)).
% 0.10/0.48 Following clause subsumed by 93 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(A,B),C))| -hBOOL(hAPP(hAPP(c_Predicate_Oconversep(A,D,E),C),B)).
% 0.10/0.48 Following clause subsumed by 41 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -hBOOL(hAPP(hAPP(c_lessequals(A),B),B))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),B)).
% 0.10/0.48 Following clause subsumed by 102 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)).
% 0.10/0.48 Following clause subsumed by 102 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)).
% 0.10/0.48 Following clause subsumed by 103 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)).
% 0.10/0.48 Following clause subsumed by 102 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)).
% 0.10/0.48 Following clause subsumed by 47 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)).
% 0.10/0.48 Following clause subsumed by 47 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)).
% 0.10/0.48 Following clause subsumed by 115 during input processing: 0 [] {-} -c_Fun_Oinj__on(A,B,C,D)|hAPP(c_Fun_Othe__inv__into(B,A,C,D),hAPP(A,E))=E| -hBOOL(hAPP(hAPP(c_in(C),E),B)).
% 0.10/0.48 Following clause subsumed by 140 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)).
% 0.10/0.48 Following clause subsumed by 140 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)).
% 0.10/0.48 Following clause subsumed by 179 during input processing: 0 [] {-} -c_Fun_Oinj__on(A,c_Orderings_Otop__class_Otop(tc_fun(B,tc_bool)),B,C)|hAPP(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(B,tc_bool)),A,B,C),hAPP(A,D))=D.
% 0.10/0.48 Following clause subsumed by 181 during input processing: 0 [] {-} A=B| -hBOOL(hAPP(hAPP(C,B),A))| -hBOOL(hAPP(hAPP(C,A),B))| -c_Orderings_Oorder(C,D,E).
% 0.10/0.48 Following clause subsumed by 181 during input processing: 0 [] {-} A=B| -hBOOL(hAPP(hAPP(C,A),B))| -hBOOL(hAPP(hAPP(C,B),A))| -c_Orderings_Oorder(C,D,E).
% 0.10/0.48 Following clause subsumed by 198 during input processing: 0 [] {-} hBOOL(hAPP(A,c_Hilbert__Choice_OEps(A,B)))| -hBOOL(hAPP(A,C)).
% 0.10/0.48 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))).
% 0.10/0.48 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))).
% 0.10/0.48 Following clause subsumed by 215 during input processing: 0 [flip.2] {-} -class_OrderedGroup_Oab__group__add(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),hAPP(c_HOL_Ouminus__class_Ouminus(A),C))=hAPP(hAPP(c_HOL_Ominus__class_Ominus(A),B),C).
% 0.10/0.48 Following clause subsumed by 228 during input processing: 0 [] {-} hAPP(c_Set_Oimage(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(A,tc_bool)),B,A,C),C,A),hAPP(c_Set_Oimage(B,A,C),D))=D| -c_Fun_Oinj__on(B,c_Orderings_Otop__class_Otop(tc_fun(A,tc_bool)),A,C).
% 0.10/0.48 Following clause subsumed by 229 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(A,B),C))|B=C| -hBOOL(hAPP(hAPP(D,B),C))| -c_Orderings_Oorder(D,A,E).
% 0.10/0.48 Following clause subsumed by 229 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(A,B),C))|B=C| -hBOOL(hAPP(hAPP(D,B),C))| -c_Orderings_Oorder(D,A,E).
% 0.10/0.48 Following clause subsumed by 229 during input processing: 0 [] {-} A=B|hBOOL(hAPP(hAPP(C,A),B))| -hBOOL(hAPP(hAPP(D,A),B))| -c_Orderings_Oorder(D,C,E).
% 0.10/0.48 Following clause subsumed by 247 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.
% 0.10/0.48 Following clause subsumed by 247 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.
% 0.10/0.48 Following clause subsumed by 247 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.
% 0.10/0.48 Following clause subsumed by 265 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.
% 0.10/0.48 Following clause subsumed by 266 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)).
% 0.10/0.48 Following clause subsumed by 266 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)).
% 0.10/0.48 Following clause subsumed by 266 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.
% 0.10/0.48 Following clause subsumed by 267 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)).
% 0.10/0.48 Following clause subsumed by 276 during input processing: 0 [] {-} hBOOL(c_Wellfounded_Oaccp(A,B,C))| -hBOOL(hAPP(hAPP(A,B),D))| -hBOOL(c_Wellfounded_Oaccp(A,D,C)).
% 0.10/0.48 Following clause subsumed by 278 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)).
% 0.10/0.48 Following clause subsumed by 287 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),C),B)),D))| -hBOOL(c_Relation_Osym(D,A)).
% 0.10/0.48 Following clause subsumed by 289 during input processing: 0 [] {-} A=B| -hBOOL(hAPP(hAPP(c_in(tc_prod(C,C)),hAPP(hAPP(c_Pair(C,C),B),A)),D))| -hBOOL(hAPP(hAPP(c_in(tc_prod(C,C)),hAPP(hAPP(c_Pair(C,C),A),B)),D))| -hBOOL(c_Relation_Oantisym(D,C)).
% 0.10/0.48 Following clause subsumed by 298 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(tc_prod(A,B)),hAPP(hAPP(c_Pair(A,B),C),D)),c_Relation_Oconverse(E,B,A)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(B,A)),hAPP(hAPP(c_Pair(B,A),D),C)),E)).
% 0.10/0.48 Following clause subsumed by 299 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)).
% 0.10/0.48 Following clause subsumed by 318 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))).
% 0.10/0.48 Following clause subsumed by 319 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)).
% 0.10/0.48 Following clause subsumed by 320 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))).
% 0.10/0.48 Following clause subsumed by 321 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)).
% 0.10/0.48 Following clause subsumed by 323 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)).
% 0.10/0.48 Following clause subsumed by 324 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_in(A),B),C))|hBOOL(hAPP(hAPP(hAPP(D,B),E),F))| -hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(C,A,tc_fun(G,tc_fun(H,tc_bool))),D),E),F)).
% 0.10/0.48 Following clause subsumed by 324 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(hAPP(A,B),C),D))| -hBOOL(hAPP(hAPP(c_in(E),B),F))| -hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(F,E,tc_fun(G,tc_fun(H,tc_bool))),A),C),D)).
% 0.10/0.48 Following clause subsumed by 325 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_in(A),B),C))|hBOOL(hAPP(hAPP(D,B),E))| -hBOOL(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(C,A,tc_fun(F,tc_bool)),D),E)).
% 0.10/0.48 Following clause subsumed by 325 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(A,B),C))| -hBOOL(hAPP(hAPP(c_in(D),B),E))| -hBOOL(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(E,D,tc_fun(F,tc_bool)),A),C)).
% 0.10/0.48 Following clause subsumed by 326 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(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(C,A,tc_fun(D,tc_bool)),F))).
% 0.10/0.48 Following clause subsumed by 326 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(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(F,E,tc_fun(A,tc_bool)),C))).
% 0.10/0.48 Following clause subsumed by 332 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.
% 0.10/0.48 Following clause subsumed by 332 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.
% 0.10/0.48 Following clause subsumed by 332 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)).
% 0.10/0.48 Following clause subsumed by 333 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(A),B),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(A,tc_bool)),C),D)))|hBOOL(hAPP(hAPP(c_in(A),B),D))| -hBOOL(hAPP(hAPP(c_in(A),B),C)).
% 0.10/0.48 Following clause subsumed by 334 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(A),B),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,D,tc_fun(A,tc_bool)),E)))| -hBOOL(hAPP(hAPP(c_in(A),B),hAPP(E,F)))| -hBOOL(hAPP(hAPP(c_in(D),F),C)).
% 0.10/0.48 Following clause subsumed by 335 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(A),B),hAPP(c_Set_Ovimage(C,A,D),E)))| -hBOOL(hAPP(hAPP(c_in(D),hAPP(C,B)),E)).
% 0.10/0.48 Following clause subsumed by 335 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(A),B),hAPP(c_Set_Ovimage(C,A,D),E)))| -hBOOL(hAPP(hAPP(c_in(D),hAPP(C,B)),E)).
% 0.10/0.48 Following clause subsumed by 336 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(A),hAPP(B,C)),D))| -hBOOL(hAPP(hAPP(c_in(E),C),hAPP(c_Set_Ovimage(B,E,A),D))).
% 0.10/0.48 Following clause subsumed by 339 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,B,tc_fun(C,tc_fun(D,tc_bool))),E),F),G))| -hBOOL(hAPP(hAPP(hAPP(E,H),F),G))| -hBOOL(hAPP(hAPP(c_in(B),H),A)).
% 0.10/0.48 Following clause subsumed by 340 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,B,tc_fun(C,tc_bool)),D),E))| -hBOOL(hAPP(hAPP(D,F),E))| -hBOOL(hAPP(hAPP(c_in(B),F),A)).
% 0.10/0.48 Following clause subsumed by 341 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_in(A),B),C))|hBOOL(hAPP(hAPP(c_in(D),hAPP(E,B)),hAPP(c_Set_Oimage(E,A,D),C))).
% 0.10/0.48 Following clause subsumed by 341 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(A),hAPP(B,C)),hAPP(c_Set_Oimage(B,D,A),E)))| -hBOOL(hAPP(hAPP(c_in(D),C),E)).
% 0.10/0.48 Following clause subsumed by 341 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(A),hAPP(B,C)),hAPP(c_Set_Oimage(B,D,A),E)))| -hBOOL(hAPP(hAPP(c_in(D),C),E)).
% 0.10/0.48 Following clause subsumed by 352 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),hAPP(hAPP(c_Pair(A,A),B),C)),c_Transitive__Closure_Otrancl(D,A)))|B=C| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),hAPP(hAPP(c_Pair(A,A),B),C)),c_Transitive__Closure_Ortrancl(D,A))).
% 0.10/0.49 Following clause subsumed by 348 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),hAPP(hAPP(c_Pair(A,A),B),C)),c_Transitive__Closure_Ortrancl(D,A)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),hAPP(hAPP(c_Pair(A,A),B),C)),c_Transitive__Closure_Otrancl(D,A)))|B=C.
% 0.10/0.49 Following clause subsumed by 341 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(A),hAPP(B,C)),hAPP(c_Set_Oimage(B,D,A),E)))| -hBOOL(hAPP(hAPP(c_in(D),C),E))| -c_Fun_Oinj__on(B,c_Orderings_Otop__class_Otop(tc_fun(D,tc_bool)),D,A).
% 0.10/0.49 Following clause subsumed by 386 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Pair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),A),A)),c_Arrow__Order__Mirabelle_Omkbot(B,A))).
% 0.10/0.49 Following clause subsumed by 388 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Pair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),A),A)),c_Arrow__Order__Mirabelle_Omktop(B,A))).
% 0.10/0.49 Following clause subsumed by 396 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(A),B),c_Relation_ODomain(C,A,D)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,D)),hAPP(hAPP(c_Pair(A,D),B),E)),C)).
% 0.10/0.49 Following clause subsumed by 397 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(A),B),c_Relation_ORange(C,D,A)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(D,A)),hAPP(hAPP(c_Pair(D,A),E),B)),C)).
% 0.10/0.49 Following clause subsumed by 398 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(A),B),hAPP(c_Relation_OImage(C,D,A),E)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(D,A)),hAPP(hAPP(c_Pair(D,A),F),B)),C))| -hBOOL(hAPP(hAPP(c_in(D),F),E)).
% 0.10/0.49 Following clause subsumed by 399 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(A),B),c_Wellfounded_Oacc(C,A)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),hAPP(hAPP(c_Pair(A,A),B),D)),C))| -hBOOL(hAPP(hAPP(c_in(A),D),c_Wellfounded_Oacc(C,A))).
% 0.10/0.49 Following clause subsumed by 400 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)).
% 0.10/0.49 Following clause subsumed by 415 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)).
% 0.10/0.49 Following clause subsumed by 416 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)).
% 0.10/0.49 Following clause subsumed by 436 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)).
% 0.10/0.49 Following clause subsumed by 436 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)).
% 0.10/0.49 Following clause subsumed by 453 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).
% 0.10/0.49 Following clause subsumed by 234 during input processing: 0 [] {-} -class_Finite__Set_Ofinite_Ofinite(A)|c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(A,tc_bool)),A).
% 0.10/0.49 Following clause subsumed by 466 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(A),B),c_Wellfounded_Oacc(C,A)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),hAPP(hAPP(c_Pair(A,A),B),D)),c_Transitive__Closure_Ortrancl(C,A)))| -hBOOL(hAPP(hAPP(c_in(A),D),c_Wellfounded_Oacc(C,A))).
% 0.10/0.49 Following clause subsumed by 510 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)).
% 0.10/0.55 Following clause subsumed by 514 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)))).
% 0.10/0.55 Following clause subsumed by 514 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_in(A),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))).
% 0.10/0.55 Following clause subsumed by 514 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_in(A),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))).
% 0.10/0.55 Following clause subsumed by 516 during input processing: 0 [] {-} hAPP(hAPP(c_Set_Oinsert(A),B),C)!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 0.10/0.55 Following clause subsumed by 514 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)))).
% 0.10/0.55 Following clause subsumed by 516 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)).
% 0.10/0.55 62 back subsumes 52.
% 0.10/0.55 143 back subsumes 136.
% 0.10/0.55 198 back subsumes 82.
% 0.10/0.55 331 back subsumes 305.
% 0.10/0.55 360 back subsumes 291.
% 0.10/0.55
% 0.10/0.55 ------------> process sos:
% 0.10/0.55 Following clause subsumed by 818 during input processing: 0 [] {-} hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,D,tc_fun(A,tc_bool)),E))=hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,D,tc_fun(A,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(A,tc_bool),tc_fun(A,tc_bool),D),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B)),E)).
% 0.10/0.55 Following clause subsumed by 865 during input processing: 0 [demod,701] {-} hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),hAPP(hAPP(c_Pair(A,A),B),B)),c_Transitive__Closure_Ortrancl(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(A,A),tc_bool)),A))).
% 0.10/0.55 Following clause subsumed by 866 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),hAPP(hAPP(c_Pair(A,A),B),B)),c_Transitive__Closure_Ortrancl(C,A))).
% 0.10/0.55 Following clause subsumed by 942 during input processing: 0 [] {-} hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(C,D,tc_fun(A,tc_bool)),E))=hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(C,D,tc_fun(A,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(A,tc_bool),tc_fun(A,tc_bool),D),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B)),E)).
% 0.10/0.55 Following clause subsumed by 1045 during input processing: 0 [demod,969] {-} c_Product__Type_OSigma(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C),c_COMBK(D,tc_fun(E,tc_bool),A),A,E)=c_Product__Type_OSigma(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C),c_COMBK(D,tc_fun(E,tc_bool),A),A,E).
% 0.10/0.55 Following clause subsumed by 1045 during input processing: 0 [demod,776,805] {-} c_Orderings_Obot__class_Obot(tc_fun(tc_prod(A,A),tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(A,A),tc_bool)).
% 0.10/0.55 Following clause subsumed by 866 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(A),B),c_Relation_ODomain(C,A,A)))|hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),hAPP(hAPP(c_Pair(A,A),B),B)),c_Transitive__Closure_Ortrancl(C,A))).
% 0.10/0.55 Following clause subsumed by 1261 during input processing: 0 [] {-} hAPP(c_split(A,B,C,D),hAPP(hAPP(c_Pair(B,C),E),F))=hAPP(hAPP(A,E),F).
% 0.10/0.55 Following clause subsumed by 1045 during input processing: 0 [demod,712,739,924,690,896,712,739,924] {-} hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(A,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))=hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(A,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))).
% 0.10/0.55 Following clause subsumed by 1274 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(A),B),hAPP(hAPP(c_Set_Oinsert(A),B),C))).
% 0.10/0.55 Following clause subsumed by 1274 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(A),B),hAPP(hAPP(c_Set_Oinsert(A),B),C))).
% 0.37/0.57 Following clause subsumed by 1275 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)))).
% 0.37/0.57 Following clause subsumed by 1281 during input processing: 0 [] {-} hAPP(hAPP(hAPP(c_COMBS(A,B,C),D),E),F)=hAPP(hAPP(D,F),hAPP(E,F)).
% 0.37/0.57 Following clause subsumed by 1278 during input processing: 0 [] {-} hAPP(hAPP(hAPP(c_COMBC(A,B,C),D),E),F)=hAPP(hAPP(D,F),E).
% 0.37/0.57 Following clause subsumed by 1045 during input processing: 0 [demod,1277] {-} hAPP(D,hAPP(E,F))=hAPP(D,hAPP(E,F)).
% 0.37/0.57 Following clause subsumed by 1045 during input processing: 0 [demod,732] {-} A=A.
% 0.37/0.57 Following clause subsumed by 1045 during input processing: 0 [demod,1280] {-} B=B.
% 0.37/0.57 Following clause subsumed by 1045 during input processing: 0 [] {-} A=A.
% 0.37/0.57 Following clause subsumed by 682 during input processing: 0 [copy,650,flip.1] {-} hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,B,tc_fun(C,tc_bool)),hAPP(hAPP(c_COMBB(D,tc_fun(C,tc_bool),B),E),F))=hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(hAPP(c_Set_Oimage(F,B,D),A),D,tc_fun(C,tc_bool)),E).
% 0.37/0.57 Following clause subsumed by 773 during input processing: 0 [copy,668,flip.1] {-} hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(c_Set_Oimage(A,B,C),D),C,tc_fun(E,tc_bool)),F)=hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(D,B,tc_fun(E,tc_bool)),hAPP(hAPP(c_COMBB(C,tc_fun(E,tc_bool),B),F),A)).
% 0.37/0.57 Following clause subsumed by 650 during input processing: 0 [copy,682,flip.1] {-} hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(hAPP(c_Set_Oimage(A,B,C),D),C,tc_fun(E,tc_bool)),F)=hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(D,B,tc_fun(E,tc_bool)),hAPP(hAPP(c_COMBB(C,tc_fun(E,tc_bool),B),F),A)).
% 0.37/0.57 750 back subsumes 738.
% 0.37/0.57 Following clause subsumed by 788 during input processing: 0 [copy,772,flip.1] {-} hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(A,tc_bool)),B),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(C,D,tc_fun(A,tc_bool)),E))=hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,D,tc_fun(A,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(A,tc_bool),tc_fun(A,tc_bool),D),hAPP(c_HOL_Ominus__class_Ominus(tc_fun(A,tc_bool)),B)),E)).
% 0.37/0.57 Following clause subsumed by 668 during input processing: 0 [copy,773,flip.1] {-} hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,B,tc_fun(C,tc_bool)),hAPP(hAPP(c_COMBB(D,tc_fun(C,tc_bool),B),E),F))=hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(c_Set_Oimage(F,B,D),A),D,tc_fun(C,tc_bool)),E).
% 0.37/0.57 Following clause subsumed by 1045 during input processing: 0 [copy,778,flip.1] {-} c_Relation_Orel__comp(A,c_Transitive__Closure_Ortrancl(A,B),B,B,B)=c_Relation_Orel__comp(A,c_Transitive__Closure_Ortrancl(A,B),B,B,B).
% 0.37/0.57 Following clause subsumed by 772 during input processing: 0 [copy,788,flip.1] {-} hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,B,tc_fun(C,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(C,tc_bool),tc_fun(C,tc_bool),B),hAPP(c_HOL_Ominus__class_Ominus(tc_fun(C,tc_bool)),D)),E))=hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(C,tc_bool)),D),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,B,tc_fun(C,tc_bool)),E)).
% 0.37/0.57 Following clause subsumed by 1045 during input processing: 0 [copy,790,flip.1] {-} c_Relation_ORange(A,B,C)=c_Relation_ORange(A,B,C).
% 0.37/0.57 Following clause subsumed by 909 during input processing: 0 [copy,797,flip.1] {-} c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=hAPP(c_Set_Oimage(c_COMBK(B,A,C),C,A),c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))).
% 0.37/0.57 Following clause subsumed by 1045 during input processing: 0 [copy,814,flip.1] {-} c_Relation_OField(v_r,t_a)=c_Relation_OField(v_r,t_a).
% 0.37/0.57 866 back subsumes 865.
% 0.37/0.57 866 back subsumes 621.
% 0.37/0.57 Following clause subsumed by 1339 during input processing: 0 [copy,897,flip.1] {-} c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(A,tc_bool)),B),B).
% 0.37/0.57 Following clause subsumed by 1045 during input processing: 0 [copy,905,flip.1] {-} c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 0.37/0.57 Following clause subsumed by 909 during input processing: 0 [copy,907,flip.1] {-} c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=hAPP(c_Set_Oimage(B,C,A),c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))).
% 0.37/0.57 907 back subsumes 797.
% 0.37/0.57 Following clause subsumed by 907 during input processing: 0 [copy,909,flip.1] {-} hAPP(c_Set_Oimage(A,B,C),c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)))=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 0.37/0.57 921 back subsumes 857.
% 0.37/0.57 921 back subsumes 855.
% 0.37/0.57 Following clause subsumed by 941 during input processing: 0 [copy,940,flip.1] {-} hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,B,tc_fun(C,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(C,tc_bool),tc_fun(C,tc_bool),B),hAPP(c_Set_Oinsert(C),D)),E))=hAPP(hAPP(c_Set_Oinsert(C),D),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,B,tc_fun(C,tc_bool)),E)).
% 0.37/0.57 Following clause subsumed by 940 during input processing: 0 [copy,941,flip.1] {-} hAPP(hAPP(c_Set_Oinsert(A),B),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(C,D,tc_fun(A,tc_bool)),E))=hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(C,D,tc_fun(A,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(A,tc_bool),tc_fun(A,tc_bool),D),hAPP(c_Set_Oinsert(A),B)),E)).
% 0.37/0.57 941 back subsumes 404.
% 0.37/0.57 Following clause subsumed by 1454 during input processing: 0 [copy,957,flip.1] {-} hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(A,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))=hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B,tc_fun(A,tc_bool)),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))),C)),D)).
% 0.37/0.57 Following clause subsumed by 1454 during input processing: 0 [copy,959,flip.1] {-} hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(A,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))=hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B,tc_fun(A,tc_bool)),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_HOL_Ominus__class_Ominus(tc_fun(A,tc_bool))),C)),D)).
% 0.37/0.57 974 back subsumes 625.
% 0.37/0.57 Following clause subsumed by 1454 during input processing: 0 [copy,1016,flip.1] {-} hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(A,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))=hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B,tc_fun(A,tc_bool)),c_COMBK(C,tc_fun(A,tc_bool),B)).
% 0.37/0.57 Following clause subsumed by 1045 during input processing: 0 [copy,1033,flip.1] {-} hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(A,tc_bool)),B),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(A,tc_bool)),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(A,tc_bool)),C)),D))=hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(A,tc_bool)),B),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(A,tc_bool)),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(A,tc_bool)),C)),D)).
% 0.37/0.57 1042 back subsumes 1031.
% 0.37/0.57 Following clause subsumed by 1045 during input processing: 0 [copy,1045,flip.1] {-} A=A.
% 0.37/0.57 1045 back subsumes 1033.
% 0.37/0.57 1045 back subsumes 905.
% 0.37/0.57 1045 back subsumes 814.
% 0.37/0.57 1045 back subsumes 790.
% 0.37/0.57 1045 back subsumes 778.
% 0.37/0.57 1045 back subsumes 640.
% 0.37/0.57 1045 back subsumes 628.
% 0.37/0.57 1045 back subsumes 623.
% 0.37/0.57 1045 back subsumes 618.
% 0.37/0.57 1045 back subsumes 615.
% 0.37/0.57 1045 back subsumes 614.
% 0.37/0.57 1045 back subsumes 605.
% 0.37/0.57 1045 back subsumes 597.
% 0.37/0.57 1045 back subsumes 592.
% 0.37/0.57 1045 back subsumes 591.
% 0.37/0.57 1045 back subsumes 590.
% 0.37/0.57 Following clause subsumed by 1057 during input processing: 0 [copy,1052,flip.1] {-} hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(A,tc_bool)),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(B,C,tc_fun(A,tc_bool)),D)),E)=hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(B,C,tc_fun(A,tc_bool)),hAPP(hAPP(c_COMBC(C,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)),C),c_HOL_Ominus__class_Ominus(tc_fun(A,tc_bool))),D)),E)).
% 0.37/0.59 Following clause subsumed by 1056 during input processing: 0 [copy,1054,flip.1] {-} hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(A,tc_bool)),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(B,C,tc_fun(A,tc_bool)),D)),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(A,tc_bool)),E))=hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(B,C,tc_fun(A,tc_bool)),hAPP(hAPP(c_COMBC(C,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)),C),c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool))),D)),E)).
% 0.37/0.59 Following clause subsumed by 1054 during input processing: 0 [copy,1056,flip.1] {-} hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,B,tc_fun(C,tc_bool)),hAPP(hAPP(c_COMBC(B,tc_fun(C,tc_bool),tc_fun(C,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(C,tc_bool),tc_fun(tc_fun(C,tc_bool),tc_fun(C,tc_bool)),B),c_Lattices_Olower__semilattice__class_Oinf(tc_fun(C,tc_bool))),D)),E))=hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(C,tc_bool)),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,B,tc_fun(C,tc_bool)),D)),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(C,tc_bool)),E)).
% 0.37/0.59 Following clause subsumed by 1052 during input processing: 0 [copy,1057,flip.1] {-} hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,B,tc_fun(C,tc_bool)),hAPP(hAPP(c_COMBC(B,tc_fun(C,tc_bool),tc_fun(C,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(C,tc_bool),tc_fun(tc_fun(C,tc_bool),tc_fun(C,tc_bool)),B),c_HOL_Ominus__class_Ominus(tc_fun(C,tc_bool))),D)),E))=hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(C,tc_bool)),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,B,tc_fun(C,tc_bool)),D)),E).
% 0.37/0.59 1274 back subsumes 1228.
% 0.37/0.59 Following clause subsumed by 1275 during input processing: 0 [copy,1275,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)).
% 0.37/0.59 Following clause subsumed by 1294 during input processing: 0 [copy,1294,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).
% 0.37/0.59 Following clause subsumed by 649 during input processing: 0 [copy,1320,flip.1] {-} hAPP(c_Relation_OImage(A,B,C),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(D,E,tc_fun(B,tc_bool)),F))=hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(D,E,tc_fun(C,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(B,tc_bool),tc_fun(C,tc_bool),E),c_Relation_OImage(A,B,C)),F)).
% 0.37/0.59 1339 back subsumes 1338.
% 0.37/0.59 Following clause subsumed by 740 during input processing: 0 [copy,1368,flip.1] {-} c_Predicate_Oconversep(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_fun(B,tc_bool))),C),D),A,B)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,tc_fun(A,tc_bool))),c_Predicate_Oconversep(C,A,B)),c_Predicate_Oconversep(D,A,B)).
% 0.37/0.59 Following clause subsumed by 760 during input processing: 0 [copy,1370,flip.1] {-} hAPP(c_Set_Oimage(A,B,C),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(D,E,tc_fun(B,tc_bool)),F))=hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(D,E,tc_fun(C,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(B,tc_bool),tc_fun(C,tc_bool),E),c_Set_Oimage(A,B,C)),F)).
% 0.37/0.59 Following clause subsumed by 761 during input processing: 0 [copy,1371,flip.1] {-} hAPP(c_Set_Ovimage(A,B,C),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(D,E,tc_fun(C,tc_bool)),F))=hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(D,E,tc_fun(B,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(C,tc_bool),tc_fun(B,tc_bool),E),c_Set_Ovimage(A,B,C)),F)).
% 0.37/0.59 Following clause subsumed by 796 during input processing: 0 [copy,1399,flip.1] {-} c_Predicate_Oconversep(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_fun(B,tc_bool))),C),D),A,B)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,tc_fun(A,tc_bool))),c_Predicate_Oconversep(C,A,B)),c_Predicate_Oconversep(D,A,B)).
% 0.37/0.60 Following clause subsumed by 810 during input processing: 0 [copy,1402,flip.1] {-} hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A,tc_fun(B,tc_bool)),c_COMBK(C,tc_fun(B,tc_bool),A))=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)).
% 0.37/0.60 Following clause subsumed by 834 during input processing: 0 [copy,1443,flip.1] {-} hAPP(c_Set_Ovimage(A,B,C),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(D,E,tc_fun(C,tc_bool)),F))=hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(D,E,tc_fun(B,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(C,tc_bool),tc_fun(B,tc_bool),E),c_Set_Ovimage(A,B,C)),F)).
% 0.37/0.60 Following clause subsumed by 885 during input processing: 0 [copy,1450,flip.1] {-} hAPP(hAPP(c_Set_Oinsert(A),B),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C,tc_fun(A,tc_bool)),D))=hAPP(hAPP(c_Set_Oinsert(A),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))).
% 0.37/0.60 Following clause subsumed by 893 during input processing: 0 [copy,1452,flip.1] {-} hAPP(c_Set_Ovimage(A,B,C),c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)))=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)).
% 0.37/0.60 Following clause subsumed by 906 during input processing: 0 [copy,1453,flip.1] {-} hAPP(c_Relation_OImage(A,B,C),c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)))=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 0.37/0.60 1454 back subsumes 1448.
% 0.37/0.60 1454 back subsumes 1447.
% 0.37/0.60 1455 back subsumes 1016.
% 0.37/0.60 1455 back subsumes 959.
% 0.37/0.60 1455 back subsumes 957.
% 0.37/0.60 1457 back subsumes 923.
% 0.37/0.60 Following clause subsumed by 1603 during input processing: 0 [copy,1459,flip.1] {-} hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(hAPP(c_Set_Oinsert(A),B),C),A,tc_fun(D,tc_bool)),E)=hAPP(hAPP(c_COMBS(D,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),D),c_or),hAPP(E,B))),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,A,tc_fun(D,tc_bool)),E)).
% 0.37/0.60 Following clause subsumed by 1540 during input processing: 0 [copy,1460,flip.1] {-} hAPP(c_Set_Ovimage(A,B,C),D)=hAPP(hAPP(c_COMBB(C,tc_bool,B),D),A).
% 0.37/0.60 Following clause subsumed by 933 during input processing: 0 [copy,1461,flip.1] {-} hAPP(c_Set_Oimage(A,B,C),D)=hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(D,B,tc_fun(C,tc_bool)),hAPP(hAPP(c_COMBC(B,tc_fun(C,tc_bool),tc_fun(C,tc_bool)),hAPP(hAPP(c_COMBB(C,tc_fun(tc_fun(C,tc_bool),tc_fun(C,tc_bool)),B),c_Set_Oinsert(C)),A)),c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)))).
% 0.37/0.60 Following clause subsumed by 934 during input processing: 0 [copy,1462,flip.1] {-} hAPP(c_Relation_OImage(A,B,C),D)=hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(D,B,tc_fun(C,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(B,tc_bool),tc_fun(C,tc_bool),B),c_Relation_OImage(A,B,C)),hAPP(hAPP(c_COMBC(B,tc_fun(B,tc_bool),tc_fun(B,tc_bool)),c_Set_Oinsert(B)),c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool))))).
% 0.37/0.60 Following clause subsumed by 935 during input processing: 0 [copy,1463,flip.1] {-} hAPP(c_Set_Ovimage(A,B,C),D)=hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(D,C,tc_fun(B,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(C,tc_bool),tc_fun(B,tc_bool),C),c_Set_Ovimage(A,B,C)),hAPP(hAPP(c_COMBC(C,tc_fun(C,tc_bool),tc_fun(C,tc_bool)),c_Set_Oinsert(C)),c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))))).
% 0.37/0.60 Following clause subsumed by 1602 during input processing: 0 [copy,1464,flip.1,demod,1539,1539] {-} 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))).
% 0.37/0.60 Following clause subsumed by 1467 during input processing: 0 [copy,1466,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(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(C,D,tc_fun(A,tc_bool)),E))=hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(C,D,tc_fun(A,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(A,tc_bool),tc_fun(A,tc_bool),D),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B)),E)).
% 0.37/0.60 Following clause subsumed by 1466 during input processing: 0 [copy,1467,flip.1] {-} hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,B,tc_fun(C,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(C,tc_bool),tc_fun(C,tc_bool),B),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(C,tc_bool)),D)),E))=hAPP(hAPP(c_COMBS(C,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),C),c_or),D)),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,B,tc_fun(C,tc_bool)),E)).
% 0.37/0.60 Following clause subsumed by 951 during input processing: 0 [copy,1469,flip.1] {-} c_Product__Type_OSigma(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B,A,C)=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(A,C),tc_bool)).
% 0.37/0.60 Following clause subsumed by 1595 during input processing: 0 [copy,1470,flip.1] {-} hAPP(c_Relation_OImage(hAPP(hAPP(c_COMBS(tc_prod(A,B),tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_prod(A,B)),c_or),C)),D),A,B),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(c_Relation_OImage(C,A,B),E))),hAPP(c_Relation_OImage(D,A,B),E)).
% 0.37/0.60 Following clause subsumed by 990 during input processing: 0 [copy,1471,flip.1] {-} hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A,tc_fun(B,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)).
% 0.37/0.60 Following clause subsumed by 1473 during input processing: 0 [copy,1472,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(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(B,C,tc_fun(A,tc_bool)),D))),E)=hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(B,C,tc_fun(A,tc_bool)),hAPP(hAPP(c_COMBC(C,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)),C),c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool))),D)),E)).
% 0.37/0.60 Following clause subsumed by 1472 during input processing: 0 [copy,1473,flip.1] {-} hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,B,tc_fun(C,tc_bool)),hAPP(hAPP(c_COMBC(B,tc_fun(C,tc_bool),tc_fun(C,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(C,tc_bool),tc_fun(tc_fun(C,tc_bool),tc_fun(C,tc_bool)),B),c_Lattices_Oupper__semilattice__class_Osup(tc_fun(C,tc_bool))),D)),E))=hAPP(hAPP(c_COMBS(C,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),C),c_or),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,B,tc_fun(C,tc_bool)),D))),E).
% 0.37/0.60 Following clause subsumed by 1007 during input processing: 0 [copy,1475,flip.1] {-} hAPP(c_Set_Oimage(A,B,C),hAPP(hAPP(c_Set_Oinsert(B),D),E))=hAPP(hAPP(c_Set_Oinsert(C),hAPP(A,D)),hAPP(c_Set_Oimage(A,B,C),E)).
% 0.37/0.60 Following clause subsumed by 1045 during input processing: 0 [copy,1476,flip.1,demod,1526,1651,1539] {-} hAPP(hAPP(c_COMBB(tc_bool,tc_bool,A),c_Not),D)=hAPP(hAPP(c_COMBB(tc_bool,tc_bool,A),c_Not),D).
% 0.37/0.60 Following clause subsumed by 1588 during input processing: 0 [copy,1477,flip.1] {-} hAPP(c_Set_Oimage(A,B,C),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)),E))=hAPP(hAPP(c_COMBS(C,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),C),c_or),hAPP(c_Set_Oimage(A,B,C),D))),hAPP(c_Set_Oimage(A,B,C),E)).
% 0.37/0.60 Following clause subsumed by 1587 during input processing: 0 [copy,1478,flip.1] {-} hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(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),A,tc_fun(D,tc_bool)),E)=hAPP(hAPP(c_COMBS(D,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),D),c_or),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(B,A,tc_fun(D,tc_bool)),E))),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,A,tc_fun(D,tc_bool)),E)).
% 0.37/0.60 Following clause subsumed by 1586 during input processing: 0 [copy,1481,flip.1] {-} hAPP(c_Relation_OImage(A,B,C),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)),E))=hAPP(hAPP(c_COMBS(C,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),C),c_or),hAPP(c_Relation_OImage(A,B,C),D))),hAPP(c_Relation_OImage(A,B,C),E)).
% 0.37/0.60 Following clause subsumed by 1691 during input processing: 0 [copy,1482,flip.1,demod,1526,1526,1526] {-} 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_COMBB(tc_bool,tc_bool,A),c_Not),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),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),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_COMBB(tc_bool,tc_bool,A),c_Not),D))).
% 0.37/0.60 1482 back subsumes 1480.
% 0.37/0.60 Following clause subsumed by 1581 during input processing: 0 [copy,1483,flip.1] {-} hAPP(c_Set_Ovimage(A,B,C),hAPP(hAPP(c_COMBS(C,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),C),c_or),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(c_Set_Ovimage(A,B,C),D))),hAPP(c_Set_Ovimage(A,B,C),E)).
% 0.37/0.60 Following clause subsumed by 1051 during input processing: 0 [copy,1485,flip.1] {-} c_Product__Type_OSigma(A,c_COMBK(c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),tc_fun(B,tc_bool),C),C,B)=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(C,B),tc_bool)).
% 0.37/0.60 Following clause subsumed by 1059 during input processing: 0 [copy,1486,flip.1] {-} c_Relation_Orel__comp(A,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(B,C),tc_bool)),D,B,C)=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(D,C),tc_bool)).
% 0.37/0.60 Following clause subsumed by 1060 during input processing: 0 [copy,1487,flip.1] {-} c_Relation_Orel__comp(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(A,B),tc_bool)),C,A,B,D)=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(A,D),tc_bool)).
% 0.37/0.60 Following clause subsumed by 1580 during input processing: 0 [copy,1489,flip.1] {-} c_Relation_Oconverse(hAPP(hAPP(c_COMBS(tc_prod(A,B),tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_prod(A,B)),c_or),C)),D),A,B)=hAPP(hAPP(c_COMBS(tc_prod(B,A),tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_prod(B,A)),c_or),c_Relation_Oconverse(C,A,B))),c_Relation_Oconverse(D,A,B)).
% 0.37/0.60 Following clause subsumed by 1579 during input processing: 0 [copy,1490,flip.1] {-} c_Relation_Orel__comp(hAPP(hAPP(c_COMBS(tc_prod(A,B),tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_prod(A,B)),c_or),C)),D),E,A,B,F)=hAPP(hAPP(c_COMBS(tc_prod(A,F),tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_prod(A,F)),c_or),c_Relation_Orel__comp(C,E,A,B,F))),c_Relation_Orel__comp(D,E,A,B,F)).
% 0.37/0.60 Following clause subsumed by 1578 during input processing: 0 [copy,1491,flip.1] {-} c_Relation_Orel__comp(A,hAPP(hAPP(c_COMBS(tc_prod(B,C),tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_prod(B,C)),c_or),D)),E),F,B,C)=hAPP(hAPP(c_COMBS(tc_prod(F,C),tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_prod(F,C)),c_or),c_Relation_Orel__comp(A,D,F,B,C))),c_Relation_Orel__comp(A,E,F,B,C)).
% 0.37/0.60 Following clause subsumed by 1097 during input processing: 0 [copy,1494,flip.1] {-} hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A,tc_fun(B,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)).
% 0.37/0.61 Following clause subsumed by 1122 during input processing: 0 [copy,1495,flip.1] {-} hAPP(hAPP(c_Predicate_Opred__comp(hAPP(hAPP(c_COMBC(t_a,tc_fun(tc_prod(t_a,A),tc_bool),tc_fun(A,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(A,tc_fun(tc_fun(tc_prod(t_a,A),tc_bool),tc_bool)),tc_fun(tc_fun(tc_prod(t_a,A),tc_bool),tc_fun(A,tc_bool)),t_a),c_COMBC(A,tc_fun(tc_prod(t_a,A),tc_bool),tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(A,tc_prod(t_a,A)),tc_fun(A,tc_fun(tc_fun(tc_prod(t_a,A),tc_bool),tc_bool)),t_a),hAPP(c_COMBB(tc_prod(t_a,A),tc_fun(tc_fun(tc_prod(t_a,A),tc_bool),tc_bool),A),c_in(tc_prod(t_a,A)))),c_Pair(t_a,A)))),B),hAPP(hAPP(c_COMBC(A,tc_fun(tc_prod(A,t_b),tc_bool),tc_fun(t_b,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(t_b,tc_fun(tc_fun(tc_prod(A,t_b),tc_bool),tc_bool)),tc_fun(tc_fun(tc_prod(A,t_b),tc_bool),tc_fun(t_b,tc_bool)),A),c_COMBC(t_b,tc_fun(tc_prod(A,t_b),tc_bool),tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(t_b,tc_prod(A,t_b)),tc_fun(t_b,tc_fun(tc_fun(tc_prod(A,t_b),tc_bool),tc_bool)),A),hAPP(c_COMBB(tc_prod(A,t_b),tc_fun(tc_fun(tc_prod(A,t_b),tc_bool),tc_bool),t_b),c_in(tc_prod(A,t_b)))),c_Pair(A,t_b)))),C),t_a,A,t_b),v_x),v_y)=hAPP(hAPP(c_in(tc_prod(t_a,t_b)),hAPP(hAPP(c_Pair(t_a,t_b),v_x),v_y)),c_Relation_Orel__comp(B,C,t_a,A,t_b)).
% 0.37/0.61 Following clause subsumed by 1176 during input processing: 0 [copy,1502,flip.1] {-} hAPP(c_Relation_OImage(A,B,C),hAPP(hAPP(c_Set_Oinsert(B),D),c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool))))=hAPP(c_Set_Ovimage(hAPP(c_Pair(B,C),D),C,tc_prod(B,C)),A).
% 0.37/0.61 Following clause subsumed by 1524 during input processing: 0 [copy,1505,flip.1,demod,1522] {-} hAPP(c_Relation_OImage(c_split(A,B,C,tc_bool),B,C),D)=c_Relation_ODomain(c_split(hAPP(hAPP(c_COMBB(tc_fun(B,tc_bool),tc_fun(B,tc_bool),C),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(c_COMBC(B,C,tc_bool),A)),C,B,tc_bool),C,B).
% 0.37/0.61 Following clause subsumed by 1523 during input processing: 0 [copy,1506,flip.1] {-} hAPP(c_fequal(A),B)=hAPP(hAPP(c_Set_Oinsert(A),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))).
% 0.37/0.61 Following clause subsumed by 1520 during input processing: 0 [copy,1507,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))).
% 0.37/0.61 Following clause subsumed by 1261 during input processing: 0 [copy,1512,flip.1] {-} hAPP(c_split(A,B,C,D),hAPP(hAPP(c_Pair(B,C),E),F))=hAPP(hAPP(A,E),F).
% 0.37/0.61 Following clause subsumed by 1507 during input processing: 0 [copy,1520,flip.1] {-} hAPP(hAPP(c_Set_Oinsert(A),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))=hAPP(hAPP(c_COMBC(A,A,tc_bool),c_fequal(A)),B).
% 0.37/0.61 Following clause subsumed by 1506 during input processing: 0 [copy,1523,flip.1] {-} hAPP(hAPP(c_Set_Oinsert(A),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))=hAPP(c_fequal(A),B).
% 0.37/0.61 Following clause subsumed by 1701 during input processing: 0 [copy,1524,flip.1] {-} c_Relation_ODomain(c_split(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_and),C))),hAPP(c_COMBC(A,B,tc_bool),D)),B,A,tc_bool),B,A)=hAPP(c_Relation_OImage(c_split(D,A,B,tc_bool),A,B),C).
% 0.37/0.61 Following clause subsumed by 1460 during input processing: 0 [copy,1540,flip.1] {-} hAPP(hAPP(c_COMBB(A,tc_bool,B),C),D)=hAPP(c_Set_Ovimage(D,B,A),C).
% 0.37/0.61 Following clause subsumed by 1568 during input processing: 0 [copy,1559,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)).
% 0.37/0.61 Following clause subsumed by 1045 during input processing: 0 [copy,1560,flip.1,demod,1567,1567,1572,1697] {-} hAPP(hAPP(c_Set_Oinsert(A),B),hAPP(hAPP(c_Set_Oinsert(A),C),c_Relation_OField(D,A)))=hAPP(hAPP(c_Set_Oinsert(A),B),hAPP(hAPP(c_Set_Oinsert(A),C),c_Relation_OField(D,A))).
% 0.37/0.61 Following clause subsumed by 1278 during input processing: 0 [copy,1561,flip.1] {-} hAPP(hAPP(hAPP(c_COMBC(A,B,C),D),E),F)=hAPP(hAPP(D,F),E).
% 0.37/0.61 Following clause subsumed by 1281 during input processing: 0 [copy,1562,flip.1] {-} hAPP(hAPP(hAPP(c_COMBS(A,B,C),D),E),F)=hAPP(hAPP(D,F),hAPP(E,F)).
% 0.37/0.61 Following clause subsumed by 1563 during input processing: 0 [copy,1563,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)).
% 0.37/0.61 Following clause subsumed by 1559 during input processing: 0 [copy,1568,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)).
% 0.37/0.61 Following clause subsumed by 1491 during input processing: 0 [copy,1578,flip.1] {-} hAPP(hAPP(c_COMBS(tc_prod(A,B),tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_prod(A,B)),c_or),c_Relation_Orel__comp(C,D,A,E,B))),c_Relation_Orel__comp(C,F,A,E,B))=c_Relation_Orel__comp(C,hAPP(hAPP(c_COMBS(tc_prod(E,B),tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_prod(E,B)),c_or),D)),F),A,E,B).
% 0.37/0.61 Following clause subsumed by 1490 during input processing: 0 [copy,1579,flip.1] {-} hAPP(hAPP(c_COMBS(tc_prod(A,B),tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_prod(A,B)),c_or),c_Relation_Orel__comp(C,D,A,E,B))),c_Relation_Orel__comp(F,D,A,E,B))=c_Relation_Orel__comp(hAPP(hAPP(c_COMBS(tc_prod(A,E),tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_prod(A,E)),c_or),C)),F),D,A,E,B).
% 0.37/0.61 Following clause subsumed by 1489 during input processing: 0 [copy,1580,flip.1] {-} hAPP(hAPP(c_COMBS(tc_prod(A,B),tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_prod(A,B)),c_or),c_Relation_Oconverse(C,B,A))),c_Relation_Oconverse(D,B,A))=c_Relation_Oconverse(hAPP(hAPP(c_COMBS(tc_prod(B,A),tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_prod(B,A)),c_or),C)),D),B,A).
% 0.37/0.61 Following clause subsumed by 1483 during input processing: 0 [copy,1581,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(c_Set_Ovimage(B,A,C),D))),hAPP(c_Set_Ovimage(B,A,C),E))=hAPP(c_Set_Ovimage(B,A,C),hAPP(hAPP(c_COMBS(C,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),C),c_or),D)),E)).
% 0.37/0.61 Following clause subsumed by 1481 during input processing: 0 [copy,1586,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(c_Relation_OImage(B,C,A),D))),hAPP(c_Relation_OImage(B,C,A),E))=hAPP(c_Relation_OImage(B,C,A),hAPP(hAPP(c_COMBS(C,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),C),c_or),D)),E)).
% 0.37/0.61 Following clause subsumed by 1478 during input processing: 0 [copy,1587,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(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(B,C,tc_fun(A,tc_bool)),D))),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(E,C,tc_fun(A,tc_bool)),D))=hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(hAPP(c_COMBS(C,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),C),c_or),B)),E),C,tc_fun(A,tc_bool)),D).
% 0.37/0.61 Following clause subsumed by 1477 during input processing: 0 [copy,1588,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(c_Set_Oimage(B,C,A),D))),hAPP(c_Set_Oimage(B,C,A),E))=hAPP(c_Set_Oimage(B,C,A),hAPP(hAPP(c_COMBS(C,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),C),c_or),D)),E)).
% 0.37/0.61 Following clause subsumed by 1470 during input processing: 0 [copy,1595,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(c_Relation_OImage(B,C,A),D))),hAPP(c_Relation_OImage(E,C,A),D))=hAPP(c_Relation_OImage(hAPP(hAPP(c_COMBS(tc_prod(C,A),tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_prod(C,A)),c_or),B)),E),C,A),D).
% 0.37/0.62 Following clause subsumed by 1781 during input processing: 0 [copy,1602,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)).
% 0.37/0.62 Following clause subsumed by 1459 during input processing: 0 [copy,1603,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(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(D,E,tc_fun(A,tc_bool)),B))=hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(hAPP(c_Set_Oinsert(E),C),D),E,tc_fun(A,tc_bool)),B).
% 0.37/0.62 Following clause subsumed by 1638 during input processing: 0 [copy,1638,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)).
% 0.37/0.62 Following clause subsumed by 1643 during input processing: 0 [copy,1641,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_and),B)),C))),hAPP(hAPP(c_COMBB(tc_bool,tc_bool,A),c_Not),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_and),B)),hAPP(hAPP(c_COMBB(tc_bool,tc_bool,A),c_Not),D)))),C).
% 0.37/0.62 Following clause subsumed by 1647 during input processing: 0 [copy,1642,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(c_Set_Oimage(C,D,A),hAPP(hAPP(c_COMBB(tc_bool,tc_bool,D),c_Not),c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)))))=hAPP(c_Set_Oimage(C,D,A),hAPP(c_Set_Ovimage(C,D,A),B)).
% 0.37/0.62 Following clause subsumed by 1641 during input processing: 0 [copy,1643,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_and),B)),hAPP(hAPP(c_COMBB(tc_bool,tc_bool,A),c_Not),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),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))),hAPP(hAPP(c_COMBB(tc_bool,tc_bool,A),c_Not),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))).
% 0.37/0.62 Following clause subsumed by 1741 during input processing: 0 [copy,1646,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)).
% 0.37/0.62 Following clause subsumed by 1642 during input processing: 0 [copy,1647,flip.1] {-} hAPP(c_Set_Oimage(A,B,C),hAPP(c_Set_Ovimage(A,B,C),D))=hAPP(hAPP(c_COMBS(C,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),C),c_and),D)),hAPP(c_Set_Oimage(A,B,C),hAPP(hAPP(c_COMBB(tc_bool,tc_bool,B),c_Not),c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool))))).
% 0.37/0.62 Following clause subsumed by 1786 during input processing: 0 [copy,1653,flip.1] {-} hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,B,tc_fun(C,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(C,tc_bool),tc_fun(C,tc_bool),B),c_HOL_Ouminus__class_Ouminus(tc_fun(C,tc_bool))),D))=hAPP(hAPP(c_COMBB(tc_bool,tc_bool,C),c_Not),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,B,tc_fun(C,tc_bool)),D)).
% 0.37/0.62 Following clause subsumed by 1686 during input processing: 0 [copy,1654,flip.1] {-} hAPP(hAPP(c_COMBB(tc_bool,tc_bool,A),c_Not),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))=c_Relation_ORange(c_Transitive__Closure_Ortrancl(B,A),A,A).
% 0.37/0.62 Following clause subsumed by 1667 during input processing: 0 [copy,1655,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(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(B,C,tc_fun(A,tc_bool)),D))),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(E,C,tc_fun(A,tc_bool)),D))=hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(hAPP(hAPP(c_COMBS(C,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),C),c_or),B)),E),C,tc_fun(A,tc_bool)),D).
% 0.37/0.62 Following clause subsumed by 1660 during input processing: 0 [copy,1656,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(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,D,tc_fun(A,tc_bool)),E))=hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,D,tc_fun(A,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(A,tc_bool),tc_fun(A,tc_bool),D),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B)),E)).
% 0.37/0.62 Following clause subsumed by 1657 during input processing: 0 [copy,1657,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).
% 0.37/0.62 Following clause subsumed by 1783 during input processing: 0 [copy,1658,flip.1] {-} hAPP(hAPP(c_COMBB(tc_bool,tc_bool,A),c_Not),hAPP(c_Set_Ovimage(B,A,C),D))=hAPP(c_Set_Ovimage(B,A,C),hAPP(hAPP(c_COMBB(tc_bool,tc_bool,C),c_Not),D)).
% 0.37/0.62 Following clause subsumed by 1664 during input processing: 0 [copy,1659,flip.1] {-} hAPP(hAPP(c_COMBS(tc_prod(A,B),tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_prod(A,B)),c_and),c_Relation_Oconverse(C,B,A))),c_Relation_Oconverse(D,B,A))=c_Relation_Oconverse(hAPP(hAPP(c_COMBS(tc_prod(B,A),tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_prod(B,A)),c_and),C)),D),B,A).
% 0.37/0.62 Following clause subsumed by 1656 during input processing: 0 [copy,1660,flip.1] {-} hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,B,tc_fun(C,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(C,tc_bool),tc_fun(C,tc_bool),B),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(C,tc_bool)),D)),E))=hAPP(hAPP(c_COMBS(C,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),C),c_and),D)),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,B,tc_fun(C,tc_bool)),E)).
% 0.37/0.62 Following clause subsumed by 1663 during input processing: 0 [copy,1661,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_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_COMBB(tc_bool,tc_bool,A),c_Not),B))).
% 0.37/0.62 Following clause subsumed by 1685 during input processing: 0 [copy,1662,flip.1] {-} hAPP(hAPP(c_COMBB(tc_bool,tc_bool,A),c_Not),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))=c_Relation_ODomain(c_Transitive__Closure_Ortrancl(B,A),A,A).
% 0.37/0.62 Following clause subsumed by 1661 during input processing: 0 [copy,1663,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)),hAPP(hAPP(c_COMBB(tc_bool,tc_bool,A),c_Not),B)))=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 0.37/0.62 Following clause subsumed by 1659 during input processing: 0 [copy,1664,flip.1] {-} c_Relation_Oconverse(hAPP(hAPP(c_COMBS(tc_prod(A,B),tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_prod(A,B)),c_and),C)),D),A,B)=hAPP(hAPP(c_COMBS(tc_prod(B,A),tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_prod(B,A)),c_and),c_Relation_Oconverse(C,A,B))),c_Relation_Oconverse(D,A,B)).
% 0.37/0.62 Following clause subsumed by 1655 during input processing: 0 [copy,1667,flip.1] {-} hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(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),A,tc_fun(D,tc_bool)),E)=hAPP(hAPP(c_COMBS(D,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),D),c_and),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(B,A,tc_fun(D,tc_bool)),E))),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(C,A,tc_fun(D,tc_bool)),E)).
% 0.37/0.62 Following clause subsumed by 1711 during input processing: 0 [copy,1676,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(c_Set_Ovimage(B,A,C),D))),hAPP(c_Set_Ovimage(B,A,C),E))=hAPP(c_Set_Ovimage(B,A,C),hAPP(hAPP(c_COMBS(C,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),C),c_and),D)),E)).
% 0.37/0.62 Following clause subsumed by 1710 during input processing: 0 [copy,1677,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(B,C))),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(D,E,tc_fun(A,tc_bool)),B))=hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(hAPP(hAPP(c_Set_Oinsert(E),C),D),E,tc_fun(A,tc_bool)),B).
% 0.37/0.62 Following clause subsumed by 1446 during input processing: 0 [copy,1678,flip.1] {-} hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,B,tc_fun(C,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(D,tc_fun(C,tc_bool)),tc_fun(C,tc_bool),B),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(E,D,tc_fun(C,tc_bool))),hAPP(hAPP(c_COMBC(B,tc_fun(D,tc_fun(C,tc_bool)),tc_fun(D,tc_fun(C,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(C,tc_bool),tc_fun(C,tc_bool)),tc_fun(tc_fun(D,tc_fun(C,tc_bool)),tc_fun(D,tc_fun(C,tc_bool))),B),c_COMBB(tc_fun(C,tc_bool),tc_fun(C,tc_bool),D)),hAPP(hAPP(c_COMBB(tc_fun(C,tc_bool),tc_fun(tc_fun(C,tc_bool),tc_fun(C,tc_bool)),B),c_Lattices_Oupper__semilattice__class_Osup(tc_fun(C,tc_bool))),F))),G)))=hAPP(hAPP(c_COMBS(C,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),C),c_or),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,B,tc_fun(C,tc_bool)),F))),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(E,D,tc_fun(C,tc_bool)),G)).
% 0.37/0.62 Following clause subsumed by 1684 during input processing: 0 [copy,1679,flip.1] {-} hAPP(hAPP(c_COMBB(tc_bool,tc_bool,A),c_Not),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))=hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B,tc_fun(A,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(A,tc_bool),tc_fun(A,tc_bool),B),hAPP(c_HOL_Ominus__class_Ominus(tc_fun(A,tc_bool)),C)),D)).
% 0.37/0.62 Following clause subsumed by 1684 during input processing: 0 [copy,1680,flip.1] {-} hAPP(hAPP(c_COMBB(tc_bool,tc_bool,A),c_Not),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))=hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B,tc_fun(A,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(A,tc_bool),tc_fun(A,tc_bool),B),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),C)),D)).
% 0.37/0.62 Following clause subsumed by 1684 during input processing: 0 [copy,1683,flip.1] {-} hAPP(hAPP(c_COMBB(tc_bool,tc_bool,A),c_Not),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))=hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B,tc_fun(A,tc_bool)),C).
% 0.37/0.62 1683 back subsumes 1680.
% 0.37/0.62 1683 back subsumes 1679.
% 0.37/0.62 Following clause subsumed by 1683 during input processing: 0 [copy,1684,flip.1] {-} hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A,tc_fun(B,tc_bool)),C)=hAPP(hAPP(c_COMBB(tc_bool,tc_bool,B),c_Not),c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool))).
% 0.37/0.62 Following clause subsumed by 1662 during input processing: 0 [copy,1685,flip.1] {-} c_Relation_ODomain(c_Transitive__Closure_Ortrancl(A,B),B,B)=hAPP(hAPP(c_COMBB(tc_bool,tc_bool,B),c_Not),c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool))).
% 0.37/0.62 Following clause subsumed by 1654 during input processing: 0 [copy,1686,flip.1] {-} c_Relation_ORange(c_Transitive__Closure_Ortrancl(A,B),B,B)=hAPP(hAPP(c_COMBB(tc_bool,tc_bool,B),c_Not),c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool))).
% 0.37/0.62 Following clause subsumed by 1709 during input processing: 0 [copy,1687,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_COMBB(tc_bool,tc_bool,A),c_Not),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))).
% 0.37/0.62 Following clause subsumed by 1780 during input processing: 0 [copy,1688,flip.1] {-} c_Hilbert__Choice_OEps(hAPP(hAPP(c_COMBC(A,t_a,tc_bool),hAPP(hAPP(c_COMBB(t_a,tc_fun(t_a,tc_bool),A),c_fequal(t_a)),B)),v_y),A)=hAPP(c_Hilbert__Choice_Oinv__into(hAPP(hAPP(c_COMBB(tc_bool,tc_bool,A),c_Not),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))),B,A,t_a),v_y).
% 0.37/0.62 Following clause subsumed by 1474 during input processing: 0 [copy,1689,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(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(B,C,tc_fun(A,tc_bool)),D))),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(B,C,tc_fun(A,tc_bool)),E))=hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(B,C,tc_fun(A,tc_bool)),hAPP(hAPP(c_COMBS(C,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)),C),c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool))),D)),E)).
% 0.37/0.62 Following clause subsumed by 1779 during input processing: 0 [copy,1692,flip.1] {-} hAPP(hAPP(c_COMBB(tc_bool,tc_bool,A),c_Not),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))=hAPP(c_Set_Ovimage(B,A,C),hAPP(hAPP(c_COMBB(tc_bool,tc_bool,C),c_Not),c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)))).
% 0.37/0.62 Following clause subsumed by 1703 during input processing: 0 [copy,1694,flip.1] {-} c_Hilbert__Choice_OEps(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_COMBC(A,t_a,tc_bool),hAPP(hAPP(c_COMBB(t_a,tc_fun(t_a,tc_bool),A),c_fequal(t_a)),C)),v_x)),A)=hAPP(c_Hilbert__Choice_Oinv__into(B,C,A,t_a),v_x).
% 0.37/0.62 Following clause subsumed by 1702 during input processing: 0 [copy,1695,flip.1] {-} c_The(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_COMBC(A,t_a,tc_bool),hAPP(hAPP(c_COMBB(t_a,tc_fun(t_a,tc_bool),A),c_fequal(t_a)),C)),v_x)),A)=hAPP(c_Fun_Othe__inv__into(B,C,A,t_a),v_x).
% 0.37/0.62 Following clause subsumed by 1774 during input processing: 0 [copy,1698,flip.1] {-} hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(hAPP(hAPP(c_COMBB(tc_bool,tc_bool,A),c_Not),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))),A,tc_fun(B,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)))=hAPP(hAPP(c_COMBB(tc_fun(A,tc_bool),tc_bool,B),c_All(A)),C).
% 0.37/0.62 Following clause subsumed by 1503 during input processing: 0 [copy,1699,flip.1] {-} hAPP(hAPP(c_COMBS(tc_prod(A,A),tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_prod(A,A)),c_or),c_Relation_Orel__comp(B,c_Transitive__Closure_Ortrancl(B,A),A,A,A))),c_Product__Type_OSigma(hAPP(c_Set_Ovimage(hAPP(hAPP(c_COMBC(A,A,tc_prod(A,A)),c_Pair(A,A)),C),A,tc_prod(A,A)),c_Transitive__Closure_Ortrancl(B,A)),c_COMBK(hAPP(c_Set_Ovimage(hAPP(c_Pair(A,A),D),A,tc_prod(A,A)),c_Transitive__Closure_Ortrancl(B,A)),tc_fun(A,tc_bool),A),A,A))=c_Relation_Orel__comp(hAPP(hAPP(c_Set_Oinsert(tc_prod(A,A)),hAPP(hAPP(c_Pair(A,A),C),D)),B),c_Transitive__Closure_Ortrancl(hAPP(hAPP(c_Set_Oinsert(tc_prod(A,A)),hAPP(hAPP(c_Pair(A,A),C),D)),B),A),A,A,A).
% 0.37/0.62 Following clause subsumed by 1524 during input processing: 0 [copy,1701,flip.1] {-} hAPP(c_Relation_OImage(c_split(A,B,C,tc_bool),B,C),D)=c_Relation_ODomain(c_split(hAPP(hAPP(c_COMBB(tc_fun(B,tc_bool),tc_fun(B,tc_bool),C),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(c_COMBC(B,C,tc_bool),A)),C,B,tc_bool),C,B).
% 0.37/0.62 Following clause subsumed by 1695 during input processing: 0 [copy,1702,flip.1] {-} hAPP(c_Fun_Othe__inv__into(A,B,C,t_a),v_x)=c_The(hAPP(hAPP(c_COMBS(C,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),C),c_and),A)),hAPP(hAPP(c_COMBC(C,t_a,tc_bool),hAPP(hAPP(c_COMBB(t_a,tc_fun(t_a,tc_bool),C),c_fequal(t_a)),B)),v_x)),C).
% 0.37/0.62 Following clause subsumed by 1694 during input processing: 0 [copy,1703,flip.1] {-} hAPP(c_Hilbert__Choice_Oinv__into(A,B,C,t_a),v_x)=c_Hilbert__Choice_OEps(hAPP(hAPP(c_COMBS(C,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),C),c_and),A)),hAPP(hAPP(c_COMBC(C,t_a,tc_bool),hAPP(hAPP(c_COMBB(t_a,tc_fun(t_a,tc_bool),C),c_fequal(t_a)),B)),v_x)),C).
% 0.37/0.62 Following clause subsumed by 1687 during input processing: 0 [copy,1709,flip.1] {-} hAPP(hAPP(c_COMBB(tc_bool,tc_bool,A),c_Not),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)))=hAPP(hAPP(c_COMBB(tc_bool,tc_bool,A),c_Not),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))).
% 0.37/0.62 Following clause subsumed by 1677 during input processing: 0 [copy,1710,flip.1] {-} hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(hAPP(hAPP(c_Set_Oinsert(A),B),C),A,tc_fun(D,tc_bool)),E)=hAPP(hAPP(c_COMBS(D,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),D),c_and),hAPP(E,B))),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(C,A,tc_fun(D,tc_bool)),E)).
% 0.37/0.62 Following clause subsumed by 1676 during input processing: 0 [copy,1711,flip.1] {-} hAPP(c_Set_Ovimage(A,B,C),hAPP(hAPP(c_COMBS(C,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),C),c_and),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(c_Set_Ovimage(A,B,C),D))),hAPP(c_Set_Ovimage(A,B,C),E)).
% 0.37/0.62 Following clause subsumed by 1646 during input processing: 0 [copy,1741,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)).
% 0.37/0.62 Following clause subsumed by 1761 during input processing: 0 [copy,1760,flip.1] {-} hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,B,tc_fun(C,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(C,tc_bool),tc_fun(C,tc_bool),B),hAPP(c_HOL_Ominus__class_Ominus(tc_fun(C,tc_bool)),D)),E))=hAPP(hAPP(c_COMBS(C,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),C),c_and),D)),hAPP(hAPP(c_COMBB(tc_bool,tc_bool,C),c_Not),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,B,tc_fun(C,tc_bool)),E))).
% 0.37/0.62 Following clause subsumed by 1760 during input processing: 0 [copy,1761,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),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(C,D,tc_fun(A,tc_bool)),E)))=hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,D,tc_fun(A,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(A,tc_bool),tc_fun(A,tc_bool),D),hAPP(c_HOL_Ominus__class_Ominus(tc_fun(A,tc_bool)),B)),E)).
% 0.37/0.62 Following clause subsumed by 1698 during input processing: 0 [copy,1774,flip.1] {-} hAPP(hAPP(c_COMBB(tc_fun(A,tc_bool),tc_bool,B),c_All(A)),C)=hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(hAPP(hAPP(c_COMBB(tc_bool,tc_bool,A),c_Not),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))),A,tc_fun(B,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))).
% 0.37/0.62 Following clause subsumed by 1692 during input processing: 0 [copy,1779,flip.1] {-} hAPP(c_Set_Ovimage(A,B,C),hAPP(hAPP(c_COMBB(tc_bool,tc_bool,C),c_Not),c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))))=hAPP(hAPP(c_COMBB(tc_bool,tc_bool,B),c_Not),c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool))).
% 0.37/0.62 Following clause subsumed by 1688 during input processing: 0 [copy,1780,flip.1] {-} hAPP(c_Hilbert__Choice_Oinv__into(hAPP(hAPP(c_COMBB(tc_bool,tc_bool,A),c_Not),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))),B,A,t_a),v_y)=c_Hilbert__Choice_OEps(hAPP(hAPP(c_COMBC(A,t_a,tc_bool),hAPP(hAPP(c_COMBB(t_a,tc_fun(t_a,tc_bool),A),c_fequal(t_a)),B)),v_y),A).
% 0.37/0.62 Following clause subsumed by 1602 during input processing: 0 [copy,1781,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))).
% 0.37/0.62 Following clause subsumed by 1658 during input processing: 0 [copy,1783,flip.1] {-} hAPP(c_Set_Ovimage(A,B,C),hAPP(hAPP(c_COMBB(tc_bool,tc_bool,C),c_Not),D))=hAPP(hAPP(c_COMBB(tc_bool,tc_bool,B),c_Not),hAPP(c_Set_Ovimage(A,B,C),D)).
% 0.37/0.62 Following clause subsumed by 1653 during input processing: 0 [copy,1786,flip.1] {-} hAPP(hAPP(c_COMBB(tc_bool,tc_bool,A),c_Not),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(B,C,tc_fun(A,tc_bool)),D))=hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(B,C,tc_fun(A,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(A,tc_bool),tc_fun(A,tc_bool),C),c_HOL_Ouminus__class_Ouminus(tc_fun(A,tc_bool))),D)).
% 0.37/0.62 Following clause subsumed by 1575 during input processing: 0 [copy,1811,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)).
% 0.37/0.62 Following clause subsumed by 1644 during input processing: 0 [copy,1816,flip.1] {-} hAPP(c_Set_Ovimage(A,B,C),hAPP(hAPP(c_COMBS(C,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),C),c_and),D)),hAPP(hAPP(c_COMBB(tc_bool,tc_bool,C),c_Not),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(c_Set_Ovimage(A,B,C),D))),hAPP(hAPP(c_COMBB(tc_bool,tc_bool,B),c_Not),hAPP(c_Set_Ovimage(A,B,C),E))).
% 0.37/0.62 Following clause subsumed by 1645 during input processing: 0 [copy,1817,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)).
% 0.37/0.62 Following clause subsumed by 1668 during input processing: 0 [copy,1818,flip.1] {-} c_Product__Type_OSigma(A,hAPP(hAPP(c_COMBS(B,tc_fun(C,tc_bool),tc_fun(C,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(C,tc_bool),tc_fun(tc_fun(C,tc_bool),tc_fun(C,tc_bool)),B),c_Lattices_Olower__semilattice__class_Oinf(tc_fun(C,tc_bool))),D)),E),B,C)=hAPP(hAPP(c_COMBS(tc_prod(B,C),tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_prod(B,C)),c_and),c_Product__Type_OSigma(A,D,B,C))),c_Product__Type_OSigma(A,E,B,C)).
% 0.37/0.62 Following clause subsumed by 1681 during input processing: 0 [copy,1819,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),hAPP(hAPP(c_Set_Oinsert(A),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),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),D)))),hAPP(hAPP(c_COMBB(tc_bool,tc_bool,A),c_Not),hAPP(hAPP(c_Set_Oinsert(A),C),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))))).
% 0.37/0.62 Following clause subsumed by 1682 during input processing: 0 [copy,1820,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(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(B,C,tc_fun(A,tc_bool)),D))),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(E,F,tc_fun(A,tc_bool)),G))=hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(B,C,tc_fun(A,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(F,tc_fun(A,tc_bool)),tc_fun(A,tc_bool),C),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(E,F,tc_fun(A,tc_bool))),hAPP(hAPP(c_COMBC(C,tc_fun(F,tc_fun(A,tc_bool)),tc_fun(F,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(F,tc_fun(A,tc_bool)),tc_fun(F,tc_fun(A,tc_bool))),C),c_COMBB(tc_fun(A,tc_bool),tc_fun(A,tc_bool),F)),hAPP(hAPP(c_COMBB(tc_fun(A,tc_bool),tc_fun(tc_fun(A,tc_bool),tc_fun(A,tc_bool)),C),c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool))),D))),G))).
% 0.37/0.62 Following clause subsumed by 1690 during input processing: 0 [copy,1821,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))),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),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))),hAPP(hAPP(c_COMBB(tc_bool,tc_bool,A),c_Not),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),C))),hAPP(hAPP(c_COMBB(tc_bool,tc_bool,A),c_Not),D)))).
% 0.37/0.62 Following clause subsumed by 1691 during input processing: 0 [copy,1822,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))),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),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))),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)).
% 0.37/0.62 Following clause subsumed by 1693 during input processing: 0 [copy,1823,flip.1] {-} hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,B,tc_fun(C,tc_bool)),hAPP(hAPP(c_COMBS(B,tc_fun(C,tc_bool),tc_fun(C,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(C,tc_bool),tc_fun(tc_fun(C,tc_bool),tc_fun(C,tc_bool)),B),c_Lattices_Olower__semilattice__class_Oinf(tc_fun(C,tc_bool))),D)),E))=hAPP(hAPP(c_COMBS(C,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),C),c_and),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,B,tc_fun(C,tc_bool)),D))),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,B,tc_fun(C,tc_bool)),E)).
% 0.37/0.62 Following clause subsumed by 1700 during input processing: 0 [copy,1824,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(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(C,A,tc_fun(B,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),D))).
% 0.37/0.62 Following clause subsumed by 1704 during input processing: 0 [copy,1825,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)).
% 0.37/0.62 Following clause subsumed by 1775 during input processing: 0 [copy,1826,flip.1] {-} c_The(c_Product__Type_OSigma(hAPP(c_fequal(A),B),c_COMBK(hAPP(c_fequal(C),D),tc_fun(C,tc_bool),A),A,C),tc_prod(A,C))=hAPP(hAPP(c_Pair(A,C),B),D).
% 0.37/0.62 Following clause subsumed by 1776 during input processing: 0 [copy,1827,flip.1] {-} c_Hilbert__Choice_OEps(c_Product__Type_OSigma(hAPP(c_fequal(A),B),c_COMBK(hAPP(c_fequal(C),D),tc_fun(C,tc_bool),A),A,C),tc_prod(A,C))=hAPP(hAPP(c_Pair(A,C),B),D).
% 0.37/0.62
% 0.37/0.62 ======= end of input processing =======
% 0.44/0.63
% 0.44/0.63 SEGMENTATION FAULT!! This is probably caused by a
% 0.44/0.63 bug in Otter. Please send copy of the input file to
% 0.44/0.63 otter@mcs.anl.gov, let us know what version of Otter you are
% 0.44/0.63 using, and send any other info that might be useful.
% 0.44/0.63
% 0.44/0.63
% 0.44/0.63 SEGMENTATION FAULT!! This is probably caused by a
% 0.44/0.63 bug in Otter. Please send copy of the input file to
% 0.44/0.63 otter@mcs.anl.gov, let us know what version of Otter you are
% 0.44/0.63 using, and send any other info that might be useful.
% 0.44/0.63
% 0.44/0.63
% 0.44/0.63 The job finished Sat Jul 2 01:14:38 2022
%------------------------------------------------------------------------------