%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : LCL803-1 : 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 14:33:04 EDT 2022
% Result : Unknown 0.38s 0.59s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL803-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.13 % Command : sos-script %s
% 0.12/0.34 % Computer : n004.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jul 4 10:23:22 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.52 ----- Otter 3.2, August 2001 -----
% 0.19/0.52 The process was started by sandbox2 on n004.cluster.edu,
% 0.19/0.52 Mon Jul 4 10:23:23 2022
% 0.19/0.52 The command was "./sos". The process ID is 3605.
% 0.19/0.52
% 0.19/0.52 set(prolog_style_variables).
% 0.19/0.52 set(auto).
% 0.19/0.52 dependent: set(auto1).
% 0.19/0.52 dependent: set(process_input).
% 0.19/0.52 dependent: clear(print_kept).
% 0.19/0.52 dependent: clear(print_new_demod).
% 0.19/0.52 dependent: clear(print_back_demod).
% 0.19/0.52 dependent: clear(print_back_sub).
% 0.19/0.52 dependent: set(control_memory).
% 0.19/0.52 dependent: assign(max_mem, 12000).
% 0.19/0.52 dependent: assign(pick_given_ratio, 4).
% 0.19/0.52 dependent: assign(stats_level, 1).
% 0.19/0.52 dependent: assign(pick_semantic_ratio, 3).
% 0.19/0.52 dependent: assign(sos_limit, 5000).
% 0.19/0.52 dependent: assign(max_weight, 60).
% 0.19/0.52 clear(print_given).
% 0.19/0.52
% 0.19/0.52 list(usable).
% 0.19/0.52
% 0.19/0.52 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=6.
% 0.19/0.52
% 0.19/0.52 This ia a non-Horn set with equality. The strategy will be
% 0.19/0.52 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.19/0.52 unit deletion, with positive clauses in sos and nonpositive
% 0.19/0.52 clauses in usable.
% 0.19/0.52
% 0.19/0.52 dependent: set(knuth_bendix).
% 0.19/0.52 dependent: set(para_from).
% 0.19/0.52 dependent: set(para_into).
% 0.19/0.52 dependent: clear(para_from_right).
% 0.19/0.52 dependent: clear(para_into_right).
% 0.19/0.52 dependent: set(para_from_vars).
% 0.19/0.52 dependent: set(eq_units_both_ways).
% 0.19/0.52 dependent: set(dynamic_demod_all).
% 0.19/0.52 dependent: set(dynamic_demod).
% 0.19/0.52 dependent: set(order_eq).
% 0.19/0.52 dependent: set(back_demod).
% 0.19/0.52 dependent: set(lrpo).
% 0.19/0.52 dependent: set(hyper_res).
% 0.19/0.52 dependent: set(unit_deletion).
% 0.19/0.52 dependent: set(factor).
% 0.19/0.52
% 0.19/0.52 ------------> process usable:
% 0.19/0.52 Following clause subsumed by 4 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))).
% 0.19/0.52 Following clause subsumed by 4 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))).
% 0.19/0.52 Following clause subsumed by 13 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).
% 0.19/0.52 Following clause subsumed by 22 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.
% 0.19/0.52 Following clause subsumed by 60 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(A),hAPP(c_List_Onth(B,A),C)),c_List_Oset(B,A)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),C),c_Nat_Osize__class_Osize(B,tc_List_Olist(A)))).
% 0.19/0.52 Following clause subsumed by 67 during input processing: 0 [] {-} c_List_Omap(A,B,C,D)!=c_List_Omap(A,E,C,D)|B=E| -c_Fun_Oinj__on(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(C,tc_bool)),c_List_Oset(B,C)),c_List_Oset(E,C)),C,D).
% 0.19/0.52 Following clause subsumed by 75 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).
% 0.19/0.52 Following clause subsumed by 131 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),A)).
% 0.19/0.52 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.
% 0.19/0.52 Following clause subsumed by 142 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)).
% 0.19/0.52 Following clause subsumed by 142 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)).
% 0.19/0.52 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)).
% 0.19/0.52 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)).
% 0.19/0.52 Following clause subsumed by 133 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)).
% 0.19/0.52 Following clause subsumed by 159 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)).
% 0.19/0.52 Following clause subsumed by 159 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)).
% 0.19/0.52 Following clause subsumed by 160 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)).
% 0.19/0.52 Following clause subsumed by 159 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)).
% 0.19/0.52 Following clause subsumed by 171 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.
% 0.19/0.52 Following clause subsumed by 171 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.
% 0.19/0.52 Following clause subsumed by 171 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)).
% 0.19/0.52 Following clause subsumed by 176 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)).
% 0.19/0.52 Following clause subsumed by 176 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)).
% 0.19/0.52 Following clause subsumed by 195 during input processing: 0 [] {-} hBOOL(hAPP(A,c_Hilbert__Choice_OEps(A,B)))| -hBOOL(hAPP(A,C)).
% 0.19/0.52 Following clause subsumed by 38 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)).
% 0.19/0.52 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)).
% 0.19/0.52 Following clause subsumed by 226 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)).
% 0.19/0.52 Following clause subsumed by 38 during input processing: 0 [flip.1] {-} hAPP(hAPP(c_Set_Oinsert(A),B),C)!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 0.19/0.52 Following clause subsumed by 235 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_in(A),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))).
% 0.19/0.52 Following clause subsumed by 235 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)))).
% 0.19/0.52 Following clause subsumed by 235 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_in(A),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))).
% 0.19/0.52 Following clause subsumed by 240 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)).
% 0.19/0.52 Following clause subsumed by 240 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)).
% 0.19/0.52 Following clause subsumed by 256 during input processing: 0 [flip.1] {-} c_List_Oappend(A,B,C)!=A|B=c_List_Olist_ONil(C).
% 0.19/0.52 Following clause subsumed by 257 during input processing: 0 [flip.1] {-} c_List_Oappend(B,A,C)!=A|B=c_List_Olist_ONil(C).
% 0.19/0.52 Following clause subsumed by 260 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)).
% 0.19/0.52 Following clause subsumed by 267 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)).
% 0.19/0.52 Following clause subsumed by 268 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)).
% 0.19/0.52 Following clause subsumed by 210 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))).
% 0.19/0.52 Following clause subsumed by 211 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))).
% 0.19/0.52 Following clause subsumed by 291 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(A,B),C))|B=C| -hBOOL(hAPP(hAPP(D,B),C))| -c_Orderings_Oorder(D,A,E).
% 0.19/0.52 Following clause subsumed by 291 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(A,B),C))|B=C| -hBOOL(hAPP(hAPP(D,B),C))| -c_Orderings_Oorder(D,A,E).
% 0.19/0.52 Following clause subsumed by 291 during input processing: 0 [] {-} A=B|hBOOL(hAPP(hAPP(C,A),B))| -hBOOL(hAPP(hAPP(D,A),B))| -c_Orderings_Oorder(D,C,E).
% 0.19/0.52 Following clause subsumed by 292 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)).
% 0.19/0.52 Following clause subsumed by 297 during input processing: 0 [] {-} -class_Orderings_Owellorder(A)|hBOOL(hAPP(B,c_Orderings_Oord__class_OLeast(B,A)))| -hBOOL(hAPP(B,C)).
% 0.19/0.52 Following clause subsumed by 170 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)))).
% 0.19/0.52 Following clause subsumed by 315 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))).
% 0.19/0.52 Following clause subsumed by 315 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)).
% 0.19/0.52 Following clause subsumed by 315 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)).
% 0.19/0.52 Following clause subsumed by 354 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)).
% 0.19/0.52 Following clause subsumed by 355 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)).
% 0.19/0.52 Following clause subsumed by 355 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)).
% 0.19/0.54 Following clause subsumed by 356 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)).
% 0.19/0.54 Following clause subsumed by 364 during input processing: 0 [] {-} A=B| -hBOOL(hAPP(hAPP(C,B),A))| -hBOOL(hAPP(hAPP(C,A),B))| -c_Orderings_Oorder(C,D,E).
% 0.19/0.54 Following clause subsumed by 364 during input processing: 0 [] {-} A=B| -hBOOL(hAPP(hAPP(C,A),B))| -hBOOL(hAPP(hAPP(C,B),A))| -c_Orderings_Oorder(C,D,E).
% 0.19/0.54 Following clause subsumed by 372 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)).
% 0.19/0.54 Following clause subsumed by 380 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)).
% 0.19/0.54 Following clause subsumed by 387 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.
% 0.19/0.54 Following clause subsumed by 388 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)).
% 0.19/0.54 Following clause subsumed by 388 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)).
% 0.19/0.54 Following clause subsumed by 388 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.
% 0.19/0.54 Following clause subsumed by 389 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)).
% 0.19/0.54 Following clause subsumed by 396 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)).
% 0.19/0.54 Following clause subsumed by 396 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)).
% 0.19/0.54 Following clause subsumed by 403 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)).
% 0.19/0.54 Following clause subsumed by 375 during input processing: 0 [copy,19,flip.1] {-} c_Lambda_OdB_OAbs(A)!=c_Lambda_OdB_OVar(B).
% 0.19/0.54 Following clause subsumed by 319 during input processing: 0 [copy,106,flip.1] {-} hAPP(hAPP(c_Lambda_OdB_OApp,A),B)!=c_Lambda_OdB_OVar(C).
% 0.19/0.54 195 back subsumes 81.
% 0.19/0.54 235 back subsumes 186.
% 0.19/0.54 296 back subsumes 263.
% 0.19/0.54 315 back subsumes 18.
% 0.19/0.54 Following clause subsumed by 106 during input processing: 0 [copy,319,flip.1] {-} c_Lambda_OdB_OVar(A)!=hAPP(hAPP(c_Lambda_OdB_OApp,B),C).
% 0.19/0.54 Following clause subsumed by 374 during input processing: 0 [copy,360,flip.1] {-} hAPP(hAPP(c_Lambda_OdB_OApp,A),B)!=c_Lambda_OdB_OAbs(C).
% 0.19/0.54 Following clause subsumed by 360 during input processing: 0 [copy,374,flip.1] {-} c_Lambda_OdB_OAbs(A)!=hAPP(hAPP(c_Lambda_OdB_OApp,B),C).
% 0.19/0.54 Following clause subsumed by 19 during input processing: 0 [copy,375,flip.1] {-} c_Lambda_OdB_OVar(A)!=c_Lambda_OdB_OAbs(B).
% 0.19/0.54 396 back subsumes 114.
% 0.19/0.54 397 back subsumes 115.
% 0.19/0.54 Following clause subsumed by 89 during input processing: 0 [copy,489,flip.1] {-} c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(A),B,tc_Lambda_OdB,tc_Lambda_OdB)!=c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(C),D,tc_Lambda_OdB,tc_Lambda_OdB).
% 0.19/0.54 Following clause subsumed by 307 during input processing: 0 [copy,511,flip.1] {-} hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(A)),B)!=c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(C),D,tc_Lambda_OdB,tc_Lambda_OdB).
% 0.19/0.54
% 0.19/0.54 ------------> process sos:
% 0.36/0.55 Following clause subsumed by 568 during input processing: 0 [] {-} hAPP(c_split(A,B,C,D),hAPP(hAPP(c_Pair(B,C),E),F))=hAPP(hAPP(A,E),F).
% 0.36/0.55 Following clause subsumed by 578 during input processing: 0 [demod,576] {-} A=A.
% 0.36/0.55 Following clause subsumed by 578 during input processing: 0 [demod,581] {-} A=A.
% 0.36/0.55 Following clause subsumed by 592 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(A,B),C),C)).
% 0.36/0.55 Following clause subsumed by 649 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)).
% 0.36/0.55 Following clause subsumed by 649 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.
% 0.36/0.55 Following clause subsumed by 653 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(A),B),hAPP(hAPP(c_Set_Oinsert(A),B),C))).
% 0.36/0.55 Following clause subsumed by 653 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(A),B),hAPP(hAPP(c_Set_Oinsert(A),B),C))).
% 0.36/0.55 Following clause subsumed by 655 during input processing: 0 [demod,603,603] {-} hAPP(hAPP(c_Set_Oinsert(A),B),hAPP(hAPP(c_Set_Oinsert(A),C),c_List_Oset(c_List_Olist_ONil(A),A)))=hAPP(hAPP(c_Set_Oinsert(A),C),hAPP(hAPP(c_Set_Oinsert(A),B),c_List_Oset(c_List_Olist_ONil(A),A))).
% 0.36/0.55 Following clause subsumed by 675 during input processing: 0 [demod,603,603] {-} hAPP(c_Set_Oimage(hAPP(c_COMBK(A,B),C),B,A),c_List_Oset(c_List_Olist_ONil(B),B))=c_List_Oset(c_List_Olist_ONil(A),A).
% 0.36/0.55 Following clause subsumed by 703 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)).
% 0.36/0.55 Following clause subsumed by 721 during input processing: 0 [demod,603] {-} hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,tc_fun(B,tc_bool)),c_List_Oset(c_List_Olist_ONil(A),A)),hAPP(c_COMBK(tc_fun(B,tc_bool),A),C))=c_Orderings_Otop__class_Otop(tc_fun(B,tc_bool)).
% 0.36/0.55 Following clause subsumed by 578 during input processing: 0 [demod,603] {-} c_List_Oset(c_List_Olist_ONil(A),A)=c_List_Oset(c_List_Olist_ONil(A),A).
% 0.36/0.55 Following clause subsumed by 753 during input processing: 0 [] {-} hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),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)).
% 0.36/0.55 Following clause subsumed by 578 during input processing: 0 [demod,603,589,626] {-} hAPP(hAPP(c_Set_Oinsert(A),B),C)=hAPP(hAPP(c_Set_Oinsert(A),B),C).
% 0.36/0.55 Following clause subsumed by 578 during input processing: 0 [demod,659] {-} v_P=v_P.
% 0.36/0.55 Following clause subsumed by 578 during input processing: 0 [demod,581] {-} c_List_Olist_ONil(A)=c_List_Olist_ONil(A).
% 0.36/0.55 Following clause subsumed by 653 during input processing: 0 [demod,603] {-} hBOOL(hAPP(hAPP(c_in(A),B),hAPP(hAPP(c_Set_Oinsert(A),B),c_List_Oset(c_List_Olist_ONil(A),A)))).
% 0.36/0.55 Following clause subsumed by 578 during input processing: 0 [demod,603,603,611,603] {-} c_List_Oset(c_List_Olist_ONil(A),A)=c_List_Oset(c_List_Olist_ONil(A),A).
% 0.36/0.55 Following clause subsumed by 578 during input processing: 0 [demod,581] {-} c_List_Olist_ONil(A)=c_List_Olist_ONil(A).
% 0.36/0.55 Following clause subsumed by 578 during input processing: 0 [demod,824] {-} c_List_Oappend(A,c_List_Oappend(B,C,D),D)=c_List_Oappend(A,c_List_Oappend(B,C,D),D).
% 0.36/0.55 Following clause subsumed by 578 during input processing: 0 [demod,824] {-} c_List_Oappend(A,c_List_Oappend(B,D,C),C)=c_List_Oappend(A,c_List_Oappend(B,D,C),C).
% 0.38/0.57 Following clause subsumed by 578 during input processing: 0 [demod,824] {-} c_List_Oappend(A,c_List_Oappend(B,C,D),D)=c_List_Oappend(A,c_List_Oappend(B,C,D),D).
% 0.38/0.57 Following clause subsumed by 578 during input processing: 0 [demod,666] {-} B=B.
% 0.38/0.57 Following clause subsumed by 924 during input processing: 0 [] {-} hAPP(hAPP(hAPP(c_COMBS(A,B,C),D),E),F)=hAPP(hAPP(D,F),hAPP(E,F)).
% 0.38/0.57 Following clause subsumed by 923 during input processing: 0 [] {-} hAPP(hAPP(hAPP(c_COMBC(A,B,C),D),E),F)=hAPP(hAPP(D,F),E).
% 0.38/0.57 Following clause subsumed by 578 during input processing: 0 [demod,922] {-} hAPP(D,hAPP(E,F))=hAPP(D,hAPP(E,F)).
% 0.38/0.57 Following clause subsumed by 578 during input processing: 0 [] {-} A=A.
% 0.38/0.57 Following clause subsumed by 645 during input processing: 0 [copy,541,flip.1] {-} hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,tc_fun(B,tc_bool)),C),hAPP(hAPP(c_COMBB(D,tc_fun(B,tc_bool),A),E),F))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(D,tc_fun(B,tc_bool)),hAPP(c_Set_Oimage(F,A,D),C)),E).
% 0.38/0.57 Following clause subsumed by 578 during input processing: 0 [copy,578,flip.1] {-} A=A.
% 0.38/0.57 578 back subsumes 517.
% 0.38/0.57 578 back subsumes 515.
% 0.38/0.57 578 back subsumes 497.
% 0.38/0.57 578 back subsumes 495.
% 0.38/0.57 578 back subsumes 494.
% 0.38/0.57 578 back subsumes 493.
% 0.38/0.57 578 back subsumes 492.
% 0.38/0.57 578 back subsumes 491.
% 0.38/0.57 578 back subsumes 482.
% 0.38/0.57 Following clause subsumed by 719 during input processing: 0 [copy,586,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)).
% 0.38/0.57 Following clause subsumed by 752 during input processing: 0 [copy,617,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)).
% 0.38/0.57 Following clause subsumed by 794 during input processing: 0 [copy,621,flip.1] {-} hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,tc_fun(B,tc_bool)),hAPP(c_Set_Oimage(C,D,A),E)),F)=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(D,tc_fun(B,tc_bool)),E),hAPP(hAPP(c_COMBB(A,tc_fun(B,tc_bool),D),F),C)).
% 0.38/0.57 Following clause subsumed by 541 during input processing: 0 [copy,645,flip.1] {-} hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,tc_fun(B,tc_bool)),hAPP(c_Set_Oimage(C,D,A),E)),F)=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(D,tc_fun(B,tc_bool)),E),hAPP(hAPP(c_COMBB(A,tc_fun(B,tc_bool),D),F),C)).
% 0.38/0.57 Following clause subsumed by 655 during input processing: 0 [copy,655,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)).
% 0.38/0.57 Following clause subsumed by 762 during input processing: 0 [copy,668,flip.1] {-} c_List_Olist_ONil(A)=c_List_Omap(B,c_List_Olist_ONil(C),C,A).
% 0.38/0.57 Following clause subsumed by 806 during input processing: 0 [copy,673,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)).
% 0.38/0.58 Following clause subsumed by 586 during input processing: 0 [copy,719,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)).
% 0.38/0.58 719 back subsumes 25.
% 0.38/0.58 721 back subsumes 691.
% 0.38/0.58 721 back subsumes 686.
% 0.38/0.58 Following clause subsumed by 617 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_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).
% 0.38/0.58 Following clause subsumed by 668 during input processing: 0 [copy,762,flip.1] {-} c_List_Omap(A,c_List_Olist_ONil(B),B,C)=c_List_Olist_ONil(C).
% 0.38/0.58 Following clause subsumed by 621 during input processing: 0 [copy,794,flip.1] {-} hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,tc_fun(B,tc_bool)),C),hAPP(hAPP(c_COMBB(D,tc_fun(B,tc_bool),A),E),F))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(D,tc_fun(B,tc_bool)),hAPP(c_Set_Oimage(F,A,D),C)),E).
% 0.38/0.58 Following clause subsumed by 673 during input processing: 0 [copy,806,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).
% 0.38/0.58 Following clause subsumed by 539 during input processing: 0 [copy,965,flip.1] {-} hAPP(c_Relation_OImage(A,B,C),hAPP(hAPP(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(C,tc_bool)),E),hAPP(hAPP(c_COMBB(tc_fun(B,tc_bool),tc_fun(C,tc_bool),D),c_Relation_OImage(A,B,C)),F)).
% 0.38/0.58 Following clause subsumed by 1006 during input processing: 0 [copy,970,flip.1] {-} hAPP(c_Relation_OImage(A,B,C),c_List_Oset(c_List_Olist_ONil(B),B))=c_List_Oset(c_List_Olist_ONil(C),C).
% 0.38/0.58 Following clause subsumed by 562 during input processing: 0 [copy,971,flip.1] {-} c_Nat_Osize__class_Osize(c_List_Omap(A,B,C,D),tc_List_Olist(D))=c_Nat_Osize__class_Osize(B,tc_List_Olist(C)).
% 0.38/0.58 Following clause subsumed by 568 during input processing: 0 [copy,972,flip.1] {-} hAPP(c_split(A,B,C,D),hAPP(hAPP(c_Pair(B,C),E),F))=hAPP(hAPP(A,E),F).
% 0.38/0.58 Following clause subsumed by 1113 during input processing: 0 [copy,1000,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)).
% 0.38/0.58 Following clause subsumed by 1087 during input processing: 0 [copy,1001,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).
% 0.38/0.58 Following clause subsumed by 1004 during input processing: 0 [copy,1002,flip.1] {-} hAPP(c_Relation_OImage(A,B,C),hAPP(hAPP(c_Set_Oinsert(B),D),c_List_Oset(c_List_Olist_ONil(B),B)))=hAPP(hAPP(c_COMBC(C,tc_fun(tc_prod(B,C),tc_bool),tc_bool),hAPP(hAPP(c_COMBB(tc_prod(B,C),tc_fun(tc_fun(tc_prod(B,C),tc_bool),tc_bool),C),c_in(tc_prod(B,C))),hAPP(c_Pair(B,C),D))),A).
% 0.38/0.58 Following clause subsumed by 1002 during input processing: 0 [copy,1004,flip.1] {-} hAPP(hAPP(c_COMBC(A,tc_fun(tc_prod(B,A),tc_bool),tc_bool),hAPP(hAPP(c_COMBB(tc_prod(B,A),tc_fun(tc_fun(tc_prod(B,A),tc_bool),tc_bool),A),c_in(tc_prod(B,A))),hAPP(c_Pair(B,A),C))),D)=hAPP(c_Relation_OImage(D,B,A),hAPP(hAPP(c_Set_Oinsert(B),C),c_List_Oset(c_List_Olist_ONil(B),B))).
% 0.38/0.58 Following clause subsumed by 970 during input processing: 0 [copy,1006,flip.1] {-} c_List_Oset(c_List_Olist_ONil(A),A)=hAPP(c_Relation_OImage(B,C,A),c_List_Oset(c_List_Olist_ONil(C),C)).
% 0.38/0.58 Following clause subsumed by 1108 during input processing: 0 [copy,1062,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)).
% 0.38/0.58 Following clause subsumed by 1063 during input processing: 0 [copy,1063,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)).
% 0.38/0.58 Following clause subsumed by 657 during input processing: 0 [copy,1065,flip.1] {-} hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,tc_fun(B,tc_bool)),c_List_Oset(c_List_Olist_ONil(A),A)),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_List_Oset(c_List_Olist_ONil(B),B).
% 0.38/0.58 Following clause subsumed by 1088 during input processing: 0 [copy,1066,flip.1] {-} c_List_Oset(c_List_Omap(A,c_List_Olist_ONil(B),B,C),C)=c_List_Oset(c_List_Olist_ONil(C),C).
% 0.38/0.58 Following clause subsumed by 1067 during input processing: 0 [copy,1067,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)).
% 0.38/0.58 Following clause subsumed by 1086 during input processing: 0 [copy,1068,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)).
% 0.38/0.58 Following clause subsumed by 1069 during input processing: 0 [copy,1069,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).
% 0.38/0.58 Following clause subsumed by 721 during input processing: 0 [copy,1070,flip.1] {-} hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,tc_fun(B,tc_bool)),c_List_Oset(c_List_Olist_ONil(A),A)),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))=c_Orderings_Otop__class_Otop(tc_fun(B,tc_bool)).
% 0.38/0.58 Following clause subsumed by 721 during input processing: 0 [copy,1071,flip.1] {-} hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,tc_fun(B,tc_bool)),c_List_Oset(c_List_Olist_ONil(A),A)),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))=c_Orderings_Otop__class_Otop(tc_fun(B,tc_bool)).
% 0.38/0.58 Following clause subsumed by 699 during input processing: 0 [copy,1072,flip.1] {-} hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,tc_fun(B,tc_bool)),c_List_Oset(c_List_Olist_ONil(A),A)),hAPP(c_COMBK(tc_fun(B,tc_bool),A),C))=c_List_Oset(c_List_Olist_ONil(B),B).
% 0.38/0.58 Following clause subsumed by 701 during input processing: 0 [copy,1073,flip.1] {-} hAPP(c_Relation_OImage(A,B,C),D)=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(B,tc_fun(C,tc_bool)),D),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_List_Oset(c_List_Olist_ONil(B),B)))).
% 0.38/0.58 Following clause subsumed by 1083 during input processing: 0 [copy,1074,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(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_OSUPR(A,tc_fun(B,tc_bool)),C),D))),E).
% 0.38/0.58 Following clause subsumed by 1076 during input processing: 0 [copy,1075,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)).
% 0.38/0.58 Following clause subsumed by 1075 during input processing: 0 [copy,1076,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)).
% 0.38/0.58 Following clause subsumed by 1095 during input processing: 0 [copy,1077,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)).
% 0.38/0.58 Following clause subsumed by 716 during input processing: 0 [copy,1078,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)).
% 0.38/0.58 Following clause subsumed by 718 during input processing: 0 [copy,1079,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_List_Oset(c_List_Olist_ONil(C),C)),D))=hAPP(hAPP(c_Set_Oinsert(A),B),c_List_Oset(c_List_Olist_ONil(A),A)).
% 0.38/0.58 Following clause subsumed by 721 during input processing: 0 [copy,1080,flip.1] {-} hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,tc_fun(B,tc_bool)),c_List_Oset(c_List_Olist_ONil(A),A)),C)=c_Orderings_Otop__class_Otop(tc_fun(B,tc_bool)).
% 0.38/0.58 1080 back subsumes 1071.
% 0.38/0.58 1080 back subsumes 1070.
% 0.38/0.58 Following clause subsumed by 731 during input processing: 0 [copy,1082,flip.1] {-} hAPP(c_Set_Oimage(A,B,C),hAPP(hAPP(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(C,tc_bool)),E),hAPP(hAPP(c_COMBB(tc_fun(B,tc_bool),tc_fun(C,tc_bool),D),c_Set_Oimage(A,B,C)),F)).
% 0.38/0.58 Following clause subsumed by 1074 during input processing: 0 [copy,1083,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)).
% 0.38/0.58 Following clause subsumed by 743 during input processing: 0 [copy,1084,flip.1] {-} hAPP(c_Set_Oimage(A,B,C),D)=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(B,tc_fun(C,tc_bool)),D),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_List_Oset(c_List_Olist_ONil(C),C))).
% 0.38/0.58 Following clause subsumed by 1085 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),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).
% 0.38/0.58 Following clause subsumed by 1068 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),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)).
% 0.38/0.58 Following clause subsumed by 1001 during input processing: 0 [copy,1087,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)).
% 0.38/0.58 Following clause subsumed by 1066 during input processing: 0 [copy,1088,flip.1] {-} c_List_Oset(c_List_Olist_ONil(A),A)=c_List_Oset(c_List_Omap(B,c_List_Olist_ONil(C),C,A),A).
% 0.38/0.58 Following clause subsumed by 767 during input processing: 0 [copy,1089,flip.1] {-} hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,tc_fun(B,tc_bool)),c_List_Oset(c_List_Olist_ONil(A),A)),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_List_Oset(c_List_Olist_ONil(B),B).
% 0.38/0.58 Following clause subsumed by 772 during input processing: 0 [copy,1090,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).
% 0.38/0.58 Following clause subsumed by 1077 during input processing: 0 [copy,1095,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).
% 0.38/0.58 Following clause subsumed by 1062 during input processing: 0 [copy,1108,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)).
% 0.38/0.58 Following clause subsumed by 1000 during input processing: 0 [copy,1113,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)).
% 0.38/0.58 Following clause subsumed by 798 during input processing: 0 [copy,1128,flip.1] {-} hAPP(hAPP(c_COMBC(A,A,tc_bool),c_fequal(A)),B)=hAPP(hAPP(c_Set_Oinsert(A),B),c_List_Oset(c_List_Olist_ONil(A),A)).
% 0.38/0.58 Following clause subsumed by 1146 during input processing: 0 [copy,1129,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)).
% 0.38/0.58 Following clause subsumed by 808 during input processing: 0 [copy,1130,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)).
% 0.38/0.58 Following clause subsumed by 814 during input processing: 0 [copy,1131,flip.1] {-} hAPP(c_fequal(A),B)=hAPP(hAPP(c_Set_Oinsert(A),B),c_List_Oset(c_List_Olist_ONil(A),A)).
% 0.38/0.58 Following clause subsumed by 818 during input processing: 0 [copy,1132,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)).
% 0.38/0.58 Following clause subsumed by 1145 during input processing: 0 [copy,1133,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)).
% 0.38/0.58 Following clause subsumed by 830 during input processing: 0 [copy,1137,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)).
% 0.38/0.58 Following clause subsumed by 834 during input processing: 0 [copy,1138,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))).
% 0.38/0.58 Following clause subsumed by 847 during input processing: 0 [copy,1140,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)).
% 0.38/0.58 Following clause subsumed by 866 during input processing: 0 [copy,1141,flip.1] {-} hAPP(c_Relation_OImage(c_split(A,B,C,tc_bool),B,C),D)=hAPP(hAPP(c_COMBB(tc_fun(B,tc_bool),tc_bool,C),c_Ex(B)),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))).
% 0.38/0.58 Following clause subsumed by 873 during input processing: 0 [copy,1142,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)),c_Orderings_Otop__class_Otop(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))).
% 0.38/0.58 Following clause subsumed by 874 during input processing: 0 [copy,1143,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).
% 0.38/0.58 Following clause subsumed by 1133 during input processing: 0 [copy,1145,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(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(D,tc_fun(A,tc_bool)),E),B))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(D,tc_fun(A,tc_bool)),hAPP(hAPP(c_Set_Oinsert(D),C),E)),B).
% 0.38/0.58 Following clause subsumed by 1129 during input processing: 0 [copy,1146,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).
% 0.38/0.58 Following clause subsumed by 886 during input processing: 0 [copy,1171,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).
% 0.38/0.58 Following clause subsumed by 891 during input processing: 0 [copy,1172,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))).
% 0.38/0.58 Following clause subsumed by 907 during input processing: 0 [copy,1174,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))).
% 0.38/0.58 Following clause subsumed by 909 during input processing: 0 [copy,1175,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))).
% 0.38/0.58 Following clause subsumed by 923 during input processing: 0 [copy,1176,flip.1] {-} hAPP(hAPP(hAPP(c_COMBC(A,B,C),D),E),F)=hAPP(hAPP(D,F),E).
% 0.38/0.58 Following clause subsumed by 924 during input processing: 0 [copy,1177,flip.1] {-} hAPP(hAPP(hAPP(c_COMBS(A,B,C),D),E),F)=hAPP(hAPP(D,F),hAPP(E,F)).
% 0.38/0.58 Following clause subsumed by 1061 during input processing: 0 [copy,1181,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).
% 0.38/0.58 Following clause subsumed by 1081 during input processing: 0 [copy,1182,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).
% 0.38/0.58 Following clause subsumed by 1103 during input processing: 0 [copy,1184,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)).
% 0.38/0.58 Following clause subsumed by 1136 during input processing: 0 [copy,1185,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)).
% 0.38/0.58 Following clause subsumed by 1139 during input processing: 0 [copy,1186,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)),C),E))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(B,tc_fun(A,tc_bool)),C),hAPP(hAPP(c_COMBS(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)).
% 0.38/0.58 Following clause subsumed by 1178 during input processing: 0 [copy,1187,flip.1] {-} c_Hilbert__Choice_OEps(c_Product__Type_OSigma(hAPP(c_fequal(A),B),hAPP(c_COMBK(tc_fun(C,tc_bool),A),hAPP(c_fequal(C),D)),A,C),tc_prod(A,C))=hAPP(hAPP(c_Pair(A,C),B),D).
% 0.38/0.58 Following clause subsumed by 1179 during input processing: 0 [copy,1188,flip.1] {-} c_The(c_Product__Type_OSigma(hAPP(c_fequal(A),B),hAPP(c_COMBK(tc_fun(C,tc_bool),A),hAPP(c_fequal(C),D)),A,C),tc_prod(A,C))=hAPP(hAPP(c_Pair(A,C),B),D).
% 0.38/0.58
% 0.38/0.58 ======= end of input processing =======
% 0.38/0.59
% 0.38/0.59 SEGMENTATION FAULT!! This is probably caused by a
% 0.38/0.59 bug in Otter. Please send copy of the input file to
% 0.38/0.59 otter@mcs.anl.gov, let us know what version of Otter you are
% 0.38/0.59 using, and send any other info that might be useful.
% 0.38/0.59
% 0.38/0.59
% 0.38/0.59 SEGMENTATION FAULT!! This is probably caused by a
% 0.38/0.59 bug in Otter. Please send copy of the input file to
% 0.38/0.59 otter@mcs.anl.gov, let us know what version of Otter you are
% 0.38/0.59 using, and send any other info that might be useful.
% 0.38/0.59
% 0.38/0.59
% 0.38/0.59 The job finished Mon Jul 4 10:23:23 2022
%------------------------------------------------------------------------------