TSTP Solution File: SCT077-1 by SOS---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : SCT077-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n012.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 22:11:59 EDT 2022
% Result : Unknown 0.79s 1.01s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SCT077-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.12 % Command : sos-script %s
% 0.12/0.33 % Computer : n012.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.34 % DateTime : Fri Jul 1 23:29:02 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.46 ----- Otter 3.2, August 2001 -----
% 0.19/0.46 The process was started by sandbox on n012.cluster.edu,
% 0.19/0.46 Fri Jul 1 23:29:02 2022
% 0.19/0.46 The command was "./sos". The process ID is 19824.
% 0.19/0.46
% 0.19/0.46 set(prolog_style_variables).
% 0.19/0.46 set(auto).
% 0.19/0.46 dependent: set(auto1).
% 0.19/0.46 dependent: set(process_input).
% 0.19/0.46 dependent: clear(print_kept).
% 0.19/0.46 dependent: clear(print_new_demod).
% 0.19/0.46 dependent: clear(print_back_demod).
% 0.19/0.46 dependent: clear(print_back_sub).
% 0.19/0.46 dependent: set(control_memory).
% 0.19/0.46 dependent: assign(max_mem, 12000).
% 0.19/0.46 dependent: assign(pick_given_ratio, 4).
% 0.19/0.46 dependent: assign(stats_level, 1).
% 0.19/0.46 dependent: assign(pick_semantic_ratio, 3).
% 0.19/0.46 dependent: assign(sos_limit, 5000).
% 0.19/0.46 dependent: assign(max_weight, 60).
% 0.19/0.46 clear(print_given).
% 0.19/0.46
% 0.19/0.46 list(usable).
% 0.19/0.46
% 0.19/0.46 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=5.
% 0.19/0.46
% 0.19/0.46 This ia a non-Horn set with equality. The strategy will be
% 0.19/0.46 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.19/0.46 unit deletion, with positive clauses in sos and nonpositive
% 0.19/0.46 clauses in usable.
% 0.19/0.46
% 0.19/0.46 dependent: set(knuth_bendix).
% 0.19/0.46 dependent: set(para_from).
% 0.19/0.46 dependent: set(para_into).
% 0.19/0.46 dependent: clear(para_from_right).
% 0.19/0.46 dependent: clear(para_into_right).
% 0.19/0.46 dependent: set(para_from_vars).
% 0.19/0.46 dependent: set(eq_units_both_ways).
% 0.19/0.46 dependent: set(dynamic_demod_all).
% 0.19/0.46 dependent: set(dynamic_demod).
% 0.19/0.46 dependent: set(order_eq).
% 0.19/0.46 dependent: set(back_demod).
% 0.19/0.46 dependent: set(lrpo).
% 0.19/0.46 dependent: set(hyper_res).
% 0.19/0.46 dependent: set(unit_deletion).
% 0.19/0.46 dependent: set(factor).
% 0.19/0.46
% 0.19/0.46 ------------> process usable:
% 0.19/0.46 Following clause subsumed by 6 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)).
% 0.19/0.46 Following clause subsumed by 6 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)).
% 0.19/0.46 Following clause subsumed by 16 during input processing: 0 [] {-} hBOOL(hAPP(A,c_Hilbert__Choice_OEps(A,B)))| -hBOOL(hAPP(A,C)).
% 0.19/0.46 Following clause subsumed by 23 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_lessequals(tc_fun(A,tc_bool)),B),hAPP(hAPP(c_Set_Oinsert(A),C),D)))| -hBOOL(hAPP(hAPP(c_lessequals(tc_fun(A,tc_bool)),B),D))|hBOOL(hAPP(hAPP(c_in(A),C),B)).
% 0.19/0.46 Following clause subsumed by 24 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_lessequals(tc_fun(A,tc_bool)),B),C))| -hBOOL(hAPP(hAPP(c_lessequals(tc_fun(A,tc_bool)),B),hAPP(hAPP(c_Set_Oinsert(A),D),C)))|hBOOL(hAPP(hAPP(c_in(A),D),B)).
% 0.19/0.46 Following clause subsumed by 5 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_lessequals(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C)),D))| -hBOOL(hAPP(hAPP(c_lessequals(tc_fun(A,tc_bool)),C),D))| -hBOOL(hAPP(hAPP(c_lessequals(tc_fun(A,tc_bool)),B),D)).
% 0.19/0.46 Following clause subsumed by 16 during input processing: 0 [] {-} hBOOL(hAPP(A,c_Hilbert__Choice_OEps(A,B)))| -hBOOL(hAPP(A,C))|c_Hilbert__Choice_OEps(A,B)=C.
% 0.19/0.46 Following clause subsumed by 42 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).
% 0.19/0.46 Following clause subsumed by 65 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_lessequals(tc_fun(A,tc_bool)),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(A,tc_bool)),B)),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(A,tc_bool)),C)))| -hBOOL(hAPP(hAPP(c_lessequals(tc_fun(A,tc_bool)),C),B)).
% 0.19/0.46 Following clause subsumed by 94 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))).
% 0.19/0.46 Following clause subsumed by 95 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))).
% 0.19/0.46 Following clause subsumed by 126 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.
% 0.19/0.46 Following clause subsumed by 126 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.
% 0.19/0.46 Following clause subsumed by 126 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.
% 0.19/0.46 Following clause subsumed by 132 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))).
% 0.19/0.46 Following clause subsumed by 133 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)).
% 0.19/0.46 Following clause subsumed by 134 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)).
% 0.19/0.46 Following clause subsumed by 135 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)).
% 0.19/0.46 Following clause subsumed by 136 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)).
% 0.19/0.46 Following clause subsumed by 136 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)).
% 0.19/0.46 Following clause subsumed by 137 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(A),B),C))| -hBOOL(hAPP(hAPP(c_lessequals(tc_fun(A,tc_bool)),D),C))| -hBOOL(hAPP(hAPP(c_in(A),B),D)).
% 0.19/0.46 Following clause subsumed by 137 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(A),B),C))| -hBOOL(hAPP(hAPP(c_in(A),B),D))| -hBOOL(hAPP(hAPP(c_lessequals(tc_fun(A,tc_bool)),D),C)).
% 0.19/0.46 Following clause subsumed by 137 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(A),B),C))| -hBOOL(hAPP(hAPP(c_in(A),B),D))| -hBOOL(hAPP(hAPP(c_lessequals(tc_fun(A,tc_bool)),D),C)).
% 0.19/0.46 Following clause subsumed by 140 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)))).
% 0.19/0.46 Following clause subsumed by 140 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_in(A),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))).
% 0.19/0.46 Following clause subsumed by 140 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_in(A),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))).
% 0.19/0.46 Following clause subsumed by 143 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))).
% 0.19/0.46 Following clause subsumed by 143 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))).
% 0.19/0.46 Following clause subsumed by 147 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.
% 0.19/0.46 Following clause subsumed by 147 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.
% 0.19/0.46 Following clause subsumed by 147 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)).
% 0.19/0.46 Following clause subsumed by 140 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)))).
% 0.19/0.46 Following clause subsumed by 148 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).
% 0.19/0.46 Following clause subsumed by 180 during input processing: 0 [] {-} A=B| -hBOOL(hAPP(hAPP(c_lessequals(tc_fun(C,tc_bool)),B),A))| -hBOOL(hAPP(hAPP(c_lessequals(tc_fun(C,tc_bool)),A),B)).
% 0.19/0.46 Following clause subsumed by 181 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)).
% 0.19/0.46 Following clause subsumed by 181 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)).
% 0.19/0.46 Following clause subsumed by 70 during input processing: 0 [flip.1] {-} hAPP(hAPP(c_Set_Oinsert(A),B),C)!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 0.19/0.46 Following clause subsumed by 211 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)).
% 0.19/0.46 Following clause subsumed by 211 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)).
% 0.19/0.46 Following clause subsumed by 215 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)).
% 0.19/0.46 Following clause subsumed by 216 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)).
% 0.19/0.46 Following clause subsumed by 216 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)).
% 0.19/0.46 Following clause subsumed by 217 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))).
% 0.19/0.46 Following clause subsumed by 221 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)).
% 0.19/0.46 Following clause subsumed by 222 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))).
% 0.19/0.46 Following clause subsumed by 222 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)).
% 0.19/0.46 Following clause subsumed by 222 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)).
% 0.19/0.46 Following clause subsumed by 223 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|B=C| -hBOOL(hAPP(hAPP(c_lessequals(A),B),C))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C)).
% 0.19/0.46 Following clause subsumed by 224 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)).
% 0.19/0.46 Following clause subsumed by 224 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)).
% 0.19/0.46 Following clause subsumed by 224 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C))| -hBOOL(hAPP(hAPP(c_lessequals(A),B),C)).
% 0.19/0.47 Following clause subsumed by 225 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C))|C=B| -hBOOL(hAPP(hAPP(c_lessequals(A),B),C)).
% 0.19/0.47 Following clause subsumed by 237 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)).
% 0.19/0.47 Following clause subsumed by 237 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)).
% 0.19/0.47 Following clause subsumed by 239 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)).
% 0.19/0.47 Following clause subsumed by 237 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)).
% 0.19/0.47 Following clause subsumed by 245 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))).
% 0.19/0.47 Following clause subsumed by 246 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)).
% 0.19/0.47 Following clause subsumed by 222 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).
% 0.19/0.47 Following clause subsumed by 111 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).
% 0.19/0.47 Following clause subsumed by 275 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_in(A),B),C))|hBOOL(hAPP(hAPP(c_in(D),hAPP(E,B)),hAPP(F,B)))| -hBOOL(hAPP(hAPP(c_in(tc_fun(A,D)),E),c_FuncSet_OPi(C,F,A,D))).
% 0.19/0.47 Following clause subsumed by 276 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_lessequals(tc_fun(A,tc_bool)),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),C),D)))| -hBOOL(hAPP(hAPP(c_lessequals(tc_fun(A,tc_bool)),B),D))| -hBOOL(hAPP(hAPP(c_lessequals(tc_fun(A,tc_bool)),B),C)).
% 0.19/0.47 Following clause subsumed by 293 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)).
% 0.19/0.47 Following clause subsumed by 294 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)).
% 0.19/0.47 Following clause subsumed by 315 during input processing: 0 [] {-} hBOOL(hAPP(A,B))| -hBOOL(hAPP(hAPP(c_lessequals(tc_fun(C,tc_bool)),D),A))| -hBOOL(hAPP(D,B)).
% 0.19/0.47 Following clause subsumed by 318 during input processing: 0 [] {-} c_Finite__Set_Ofinite(A,B)| -hBOOL(hAPP(hAPP(c_lessequals(tc_fun(B,tc_bool)),A),C))| -c_Finite__Set_Ofinite(C,B).
% 0.19/0.47 Following clause subsumed by 334 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_lessequals(tc_fun(A,tc_bool)),B),C))|hBOOL(hAPP(hAPP(c_lessequals(tc_fun(D,tc_bool)),hAPP(c_Set_Oimage(E,A,D),B)),hAPP(c_Set_Oimage(E,A,D),C))).
% 0.19/0.47 Following clause subsumed by 341 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)).
% 0.19/0.49 Following clause subsumed by 341 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)).
% 0.19/0.49 Following clause subsumed by 146 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)))).
% 0.19/0.49 Following clause subsumed by 390 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)).
% 0.19/0.49 Following clause subsumed by 393 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)).
% 0.19/0.49 Following clause subsumed by 393 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.
% 0.19/0.49 Following clause subsumed by 393 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|B=C|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),C),B))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C)).
% 0.19/0.49 Following clause subsumed by 398 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),A)).
% 0.19/0.49 57 back subsumes 23.
% 0.19/0.49 70 back subsumes 19.
% 0.19/0.49 239 back subsumes 238.
% 0.19/0.49 278 back subsumes 204.
% 0.19/0.49 334 back subsumes 52.
% 0.19/0.49 341 back subsumes 169.
% 0.19/0.49 342 back subsumes 170.
% 0.19/0.49
% 0.19/0.49 ------------> process sos:
% 0.19/0.49 Following clause subsumed by 503 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_lessequals(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))))).
% 0.19/0.49 Following clause subsumed by 531 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)).
% 0.19/0.49 Following clause subsumed by 546 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(A),B),hAPP(hAPP(c_Set_Oinsert(A),B),C))).
% 0.19/0.49 Following clause subsumed by 546 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(A),B),hAPP(hAPP(c_Set_Oinsert(A),B),C))).
% 0.19/0.49 Following clause subsumed by 571 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)).
% 0.19/0.49 Following clause subsumed by 503 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_lessequals(tc_fun(A,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))).
% 0.19/0.49 Following clause subsumed by 634 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_lessequals(tc_fun(A,tc_bool)),B),B)).
% 0.19/0.49 Following clause subsumed by 546 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(A),B),hAPP(hAPP(c_Set_Oinsert(A),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))))).
% 0.19/0.49 Following clause subsumed by 719 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)).
% 0.19/0.49 Following clause subsumed by 719 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.
% 0.19/0.49 Following clause subsumed by 729 during input processing: 0 [] {-} hAPP(hAPP(hAPP(c_COMBS(A,B,C),D),E),F)=hAPP(hAPP(D,F),hAPP(E,F)).
% 0.19/0.49 Following clause subsumed by 728 during input processing: 0 [] {-} hAPP(hAPP(hAPP(c_COMBC(A,B,C),D),E),F)=hAPP(hAPP(D,F),E).
% 0.19/0.49 Following clause subsumed by 458 during input processing: 0 [copy,458,flip.1] {-} hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),C),B).
% 0.19/0.49 Following clause subsumed by 531 during input processing: 0 [copy,473,flip.1] {-} 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)).
% 0.19/0.49 Following clause subsumed by 476 during input processing: 0 [copy,476,flip.1] {-} hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),C),D))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),C),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),D)).
% 0.19/0.49 Following clause subsumed by 537 during input processing: 0 [copy,478,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))).
% 0.19/0.49 Following clause subsumed by 485 during input processing: 0 [copy,479,flip.1] {-} 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)))).
% 0.19/0.49 Following clause subsumed by 644 during input processing: 0 [copy,480,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)).
% 0.19/0.49 Following clause subsumed by 485 during input processing: 0 [copy,485,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)).
% 0.19/0.49 485 back subsumes 479.
% 0.19/0.49 Following clause subsumed by 618 during input processing: 0 [copy,501,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)).
% 0.19/0.49 Following clause subsumed by 526 during input processing: 0 [copy,526,flip.1] {-} hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),C),B).
% 0.19/0.49 Following clause subsumed by 551 during input processing: 0 [copy,527,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).
% 0.19/0.49 Following clause subsumed by 473 during input processing: 0 [copy,531,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_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,tc_bool)),D),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,tc_fun(B,tc_bool)),C),E)).
% 0.19/0.50 Following clause subsumed by 478 during input processing: 0 [copy,537,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)).
% 0.19/0.50 Following clause subsumed by 570 during input processing: 0 [copy,547,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).
% 0.19/0.50 Following clause subsumed by 527 during input processing: 0 [copy,551,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)).
% 0.19/0.50 Following clause subsumed by 556 during input processing: 0 [copy,556,flip.1] {-} hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),C),D))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),C),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),D)).
% 0.19/0.50 Following clause subsumed by 635 during input processing: 0 [copy,557,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)).
% 0.19/0.50 Following clause subsumed by 547 during input processing: 0 [copy,570,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)).
% 0.19/0.50 Following clause subsumed by 572 during input processing: 0 [copy,571,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_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,tc_bool)),D),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,tc_fun(B,tc_bool)),C),E)).
% 0.19/0.50 Following clause subsumed by 571 during input processing: 0 [copy,572,flip.1] {-} 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)).
% 0.19/0.50 Following clause subsumed by 501 during input processing: 0 [copy,618,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)).
% 0.19/0.50 618 back subsumes 252.
% 0.19/0.50 619 back subsumes 459.
% 0.19/0.50 Following clause subsumed by 557 during input processing: 0 [copy,635,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).
% 0.19/0.50 Following clause subsumed by 480 during input processing: 0 [copy,644,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).
% 0.19/0.50 Following clause subsumed by 762 during input processing: 0 [copy,648,flip.1] {-} c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 0.19/0.50 Following clause subsumed by 762 during input processing: 0 [copy,660,flip.1] {-} hAPP(c_Set_Oimage(A,B,C),hAPP(c_Set_Oimage(D,E,B),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(E,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(E,tc_bool)))))=hAPP(c_Set_Oimage(A,B,C),hAPP(c_Set_Oimage(D,E,B),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(E,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(E,tc_bool))))).
% 0.19/0.50 723 back subsumes 658.
% 0.19/0.50 723 back subsumes 654.
% 0.19/0.50 Following clause subsumed by 762 during input processing: 0 [copy,760,flip.1] {-} hAPP(A,hAPP(B,C))=hAPP(A,hAPP(B,C)).
% 0.19/0.50 760 back subsumes 660.
% 0.19/0.50 Following clause subsumed by 762 during input processing: 0 [copy,762,flip.1] {-} A=A.
% 0.19/0.50 762 back subsumes 760.
% 0.19/0.50 762 back subsumes 648.
% 0.19/0.50 762 back subsumes 455.
% 0.19/0.50 762 back subsumes 454.
% 0.19/0.50 762 back subsumes 441.
% 0.19/0.50 762 back subsumes 433.
% 0.19/0.50 762 back subsumes 432.
% 0.19/0.50 762 back subsumes 428.
% 0.19/0.50 Following clause subsumed by 484 during input processing: 0 [copy,767,flip.1] {-} hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,tc_fun(B,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(B,tc_bool),tc_fun(B,tc_bool),A),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,tc_bool)),C)),D))=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)).
% 0.19/0.50 Following clause subsumed by 522 during input processing: 0 [copy,777,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_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)))).
% 0.19/0.50 Following clause subsumed by 541 during input processing: 0 [copy,779,flip.1] {-} hAPP(c_Set_Ovimage(A,B,C),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(D,tc_fun(C,tc_bool)),E),F))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(D,tc_fun(B,tc_bool)),E),hAPP(hAPP(c_COMBB(tc_fun(C,tc_bool),tc_fun(B,tc_bool),D),c_Set_Ovimage(A,B,C)),F)).
% 0.19/0.50 Following clause subsumed by 578 during input processing: 0 [copy,784,flip.1] {-} hAPP(c_Set_Ovimage(A,B,C),D)=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,tc_fun(B,tc_bool)),D),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))))).
% 0.19/0.50 Following clause subsumed by 581 during input processing: 0 [copy,785,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)).
% 0.19/0.50 Following clause subsumed by 866 during input processing: 0 [copy,786,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))).
% 0.19/0.50 Following clause subsumed by 617 during input processing: 0 [copy,788,flip.1] {-} hAPP(hAPP(c_Set_Oinsert(A),B),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,tc_fun(A,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))),D))=hAPP(hAPP(c_Set_Oinsert(A),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))).
% 0.19/0.50 789 back subsumes 763.
% 0.19/0.50 Following clause subsumed by 630 during input processing: 0 [copy,829,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)).
% 0.19/0.51 Following clause subsumed by 631 during input processing: 0 [copy,830,flip.1] {-} hAPP(c_Set_Ovimage(A,B,C),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(D,tc_fun(C,tc_bool)),E),F))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(D,tc_fun(B,tc_bool)),E),hAPP(hAPP(c_COMBB(tc_fun(C,tc_bool),tc_fun(B,tc_bool),D),c_Set_Ovimage(A,B,C)),F)).
% 0.19/0.51 Following clause subsumed by 862 during input processing: 0 [copy,834,flip.1] {-} hAPP(c_fequal(A),B)=hAPP(hAPP(c_Set_Oinsert(A),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))).
% 0.19/0.51 Following clause subsumed by 651 during input processing: 0 [copy,836,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)).
% 0.19/0.51 Following clause subsumed by 861 during input processing: 0 [copy,838,flip.1] {-} hAPP(c_Set_Ovimage(A,B,C),D)=hAPP(hAPP(c_COMBB(C,tc_bool,B),D),A).
% 0.19/0.51 Following clause subsumed by 838 during input processing: 0 [copy,861,flip.1] {-} hAPP(hAPP(c_COMBB(A,tc_bool,B),C),D)=hAPP(c_Set_Ovimage(D,B,A),C).
% 0.19/0.51 Following clause subsumed by 834 during input processing: 0 [copy,862,flip.1] {-} hAPP(hAPP(c_Set_Oinsert(A),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))=hAPP(c_fequal(A),B).
% 0.19/0.51 Following clause subsumed by 786 during input processing: 0 [copy,866,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).
% 0.19/0.51 Following clause subsumed by 728 during input processing: 0 [copy,888,flip.1] {-} hAPP(hAPP(hAPP(c_COMBC(A,B,C),D),E),F)=hAPP(hAPP(D,F),E).
% 0.19/0.51 Following clause subsumed by 729 during input processing: 0 [copy,889,flip.1] {-} hAPP(hAPP(hAPP(c_COMBS(A,B,C),D),E),F)=hAPP(hAPP(D,F),hAPP(E,F)).
% 0.19/0.51 Following clause subsumed by 908 during input processing: 0 [copy,890,flip.1] {-} hAPP(hAPP(c_COMBB(tc_bool,tc_bool,A),c_Not),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(B,tc_fun(A,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool))),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)).
% 0.19/0.51 Following clause subsumed by 943 during input processing: 0 [copy,891,flip.1,demod,931] {-} hAPP(hAPP(c_COMBB(tc_bool,tc_bool,A),c_Not),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))=hAPP(hAPP(c_COMBS(A,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),A),c_implies),B)),B).
% 0.19/0.51 Following clause subsumed by 911 during input processing: 0 [copy,892,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)).
% 0.19/0.51 Following clause subsumed by 1062 during input processing: 0 [copy,893,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)).
% 0.19/0.51 Following clause subsumed by 1061 during input processing: 0 [copy,894,flip.1] {-} hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,tc_fun(B,tc_bool)),C),hAPP(hAPP(c_COMBB(tc_fun(B,tc_bool),tc_fun(B,tc_bool),A),c_HOL_Ouminus__class_Ouminus(tc_fun(B,tc_bool))),D))=hAPP(hAPP(c_COMBB(tc_bool,tc_bool,B),c_Not),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,tc_fun(B,tc_bool)),C),D)).
% 0.19/0.51 Following clause subsumed by 997 during input processing: 0 [copy,896,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)).
% 0.19/0.51 Following clause subsumed by 996 during input processing: 0 [copy,897,flip.1] {-} c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=hAPP(hAPP(c_COMBS(A,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),A),c_and),hAPP(hAPP(c_COMBB(tc_bool,tc_bool,A),c_Not),B))),B).
% 0.19/0.51 Following clause subsumed by 942 during input processing: 0 [copy,898,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)).
% 0.19/0.51 Following clause subsumed by 941 during input processing: 0 [copy,899,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)).
% 0.19/0.51 Following clause subsumed by 995 during input processing: 0 [copy,900,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)).
% 0.19/0.51 Following clause subsumed by 910 during input processing: 0 [copy,903,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)).
% 0.19/0.51 Following clause subsumed by 940 during input processing: 0 [copy,904,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).
% 0.19/0.51 Following clause subsumed by 909 during input processing: 0 [copy,905,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)))).
% 0.19/0.51 Following clause subsumed by 908 during input processing: 0 [copy,906,flip.1] {-} hAPP(hAPP(c_COMBB(tc_bool,tc_bool,A),c_Not),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(B,tc_fun(A,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool))),C).
% 0.19/0.51 906 back subsumes 890.
% 0.19/0.51 Following clause subsumed by 906 during input processing: 0 [copy,908,flip.1] {-} hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,tc_fun(B,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))),C)=hAPP(hAPP(c_COMBB(tc_bool,tc_bool,B),c_Not),c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool))).
% 0.19/0.51 Following clause subsumed by 905 during input processing: 0 [copy,909,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))).
% 0.19/0.51 Following clause subsumed by 903 during input processing: 0 [copy,910,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))))).
% 0.19/0.51 Following clause subsumed by 892 during input processing: 0 [copy,911,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))).
% 0.19/0.51 Following clause subsumed by 935 during input processing: 0 [copy,912,flip.1,demod,931] {-} hAPP(hAPP(c_COMBS(A,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),A),c_implies),B)),B)=hAPP(hAPP(c_COMBB(tc_bool,tc_bool,A),c_Not),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))).
% 0.19/0.52 Following clause subsumed by 934 during input processing: 0 [copy,914,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).
% 0.19/0.52 Following clause subsumed by 933 during input processing: 0 [copy,915,flip.1] {-} hAPP(hAPP(c_COMBS(A,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),A),c_or),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(B,tc_fun(A,tc_bool)),C),D))),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(B,tc_fun(A,tc_bool)),E),D))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(B,tc_fun(A,tc_bool)),hAPP(hAPP(c_COMBS(B,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),B),c_or),C)),E)),D).
% 0.19/0.52 Following clause subsumed by 932 during input processing: 0 [copy,916,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)).
% 0.19/0.52 Following clause subsumed by 990 during input processing: 0 [copy,917,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).
% 0.19/0.52 Following clause subsumed by 929 during input processing: 0 [copy,919,flip.1] {-} hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,tc_fun(B,tc_bool)),hAPP(hAPP(c_COMBB(tc_bool,tc_bool,A),c_Not),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))),hAPP(hAPP(c_COMBB(tc_fun(B,tc_bool),tc_fun(B,tc_bool),A),c_Collect(B)),hAPP(c_COMBC(B,A,tc_bool),C)))=hAPP(hAPP(c_COMBB(tc_fun(A,tc_bool),tc_bool,B),c_All(A)),C).
% 0.19/0.52 Following clause subsumed by 919 during input processing: 0 [copy,929,flip.1] {-} hAPP(hAPP(c_COMBB(tc_fun(A,tc_bool),tc_bool,B),c_All(A)),C)=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,tc_fun(B,tc_bool)),hAPP(hAPP(c_COMBB(tc_bool,tc_bool,A),c_Not),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))),hAPP(hAPP(c_COMBB(tc_fun(B,tc_bool),tc_fun(B,tc_bool),A),c_Collect(B)),hAPP(c_COMBC(B,A,tc_bool),C))).
% 0.19/0.52 Following clause subsumed by 916 during input processing: 0 [copy,932,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)).
% 0.19/0.52 Following clause subsumed by 915 during input processing: 0 [copy,933,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)).
% 0.19/0.52 Following clause subsumed by 914 during input processing: 0 [copy,934,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)).
% 0.19/0.52 Following clause subsumed by 943 during input processing: 0 [copy,935,flip.1] {-} hAPP(hAPP(c_COMBB(tc_bool,tc_bool,A),c_Not),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))=hAPP(hAPP(c_COMBS(A,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),A),c_implies),B)),B).
% 0.19/0.52 Following clause subsumed by 904 during input processing: 0 [copy,940,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)).
% 0.19/0.52 Following clause subsumed by 899 during input processing: 0 [copy,941,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)).
% 0.19/0.52 Following clause subsumed by 898 during input processing: 0 [copy,942,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)).
% 0.19/0.52 Following clause subsumed by 935 during input processing: 0 [copy,943,flip.1] {-} hAPP(hAPP(c_COMBS(A,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),A),c_implies),B)),B)=hAPP(hAPP(c_COMBB(tc_bool,tc_bool,A),c_Not),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))).
% 0.19/0.52 Following clause subsumed by 949 during input processing: 0 [copy,948,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)).
% 0.19/0.52 Following clause subsumed by 948 during input processing: 0 [copy,949,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)).
% 0.19/0.52 Following clause subsumed by 964 during input processing: 0 [copy,964,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).
% 0.19/0.52 Following clause subsumed by 917 during input processing: 0 [copy,990,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)).
% 0.19/0.52 Following clause subsumed by 900 during input processing: 0 [copy,995,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)).
% 0.19/0.52 Following clause subsumed by 897 during input processing: 0 [copy,996,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)).
% 0.19/0.52 Following clause subsumed by 896 during input processing: 0 [copy,997,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)).
% 0.19/0.52 Following clause subsumed by 1018 during input processing: 0 [copy,1004,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)).
% 0.19/0.52 Following clause subsumed by 1004 during input processing: 0 [copy,1018,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)).
% 0.19/0.52 Following clause subsumed by 1021 during input processing: 0 [copy,1021,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).
% 0.19/0.52 Following clause subsumed by 894 during input processing: 0 [copy,1061,flip.1] {-} hAPP(hAPP(c_COMBB(tc_bool,tc_bool,A),c_Not),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(B,tc_fun(A,tc_bool)),C),D))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(B,tc_fun(A,tc_bool)),C),hAPP(hAPP(c_COMBB(tc_fun(A,tc_bool),tc_fun(A,tc_bool),B),c_HOL_Ouminus__class_Ouminus(tc_fun(A,tc_bool))),D)).
% 0.19/0.52 Following clause subsumed by 893 during input processing: 0 [copy,1062,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)).
% 0.19/0.52 Following clause subsumed by 895 during input processing: 0 [copy,1077,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)).
% 0.19/0.52 Following clause subsumed by 907 during input processing: 0 [copy,1078,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_COMBS(A,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),A),c_or),C)),D)).
% 0.19/0.52 Following clause subsumed by 918 during input processing: 0 [copy,1079,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))).
% 0.19/0.52 Following clause subsumed by 920 during input processing: 0 [copy,1080,flip.1] {-} hAPP(hAPP(c_COMBB(tc_fun(A,tc_bool),tc_bool,B),c_All(A)),hAPP(hAPP(c_COMBB(tc_fun(A,tc_bool),tc_fun(A,tc_bool),B),hAPP(c_COMBS(A,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),A),c_implies),C))),D))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,tc_fun(B,tc_bool)),C),hAPP(hAPP(c_COMBB(tc_fun(B,tc_bool),tc_fun(B,tc_bool),A),c_Collect(B)),hAPP(c_COMBC(B,A,tc_bool),D))).
% 0.19/0.52 Following clause subsumed by 925 during input processing: 0 [copy,1081,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)).
% 0.19/0.52 Following clause subsumed by 926 during input processing: 0 [copy,1082,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)).
% 0.19/0.52
% 0.19/0.52 ======= end of input processing =======
% 0.46/0.66
% 0.46/0.66
% 0.46/0.66 Failed to model usable list: disabling FINDER
% 0.46/0.66
% 0.46/0.66
% 0.46/0.66
% 0.46/0.66 -------------- Softie stats --------------
% 0.46/0.66
% 0.46/0.66 UPDATE_STOP: 300
% 0.46/0.66 SFINDER_TIME_LIMIT: 2
% 0.46/0.66 SHORT_CLAUSE_CUTOFF: 4
% 0.46/0.66 number of clauses in intial UL: 299
% 0.46/0.66 number of clauses initially in problem: 644
% 0.46/0.66 percentage of clauses intially in UL: 46
% 0.46/0.66 percentage of distinct symbols occuring in initial UL: 84
% 0.46/0.66 percent of all initial clauses that are short: 99
% 0.46/0.66 absolute distinct symbol count: 103
% 0.46/0.66 distinct predicate count: 34
% 0.46/0.66 distinct function count: 50
% 0.46/0.66 distinct constant count: 19
% 0.46/0.66
% 0.46/0.66 ---------- no more Softie stats ----------
% 0.46/0.66
% 0.46/0.66
% 0.46/0.66
% 0.46/0.66 =========== start of search ===========
% 0.49/0.67
% 0.49/0.67
% 0.49/0.67 Changing weight limit from 60 to 84.
% 0.49/0.67
% 0.49/0.67 Resetting weight limit to 84 after 5 givens.
% 0.49/0.67
% 0.79/1.00 c_Orderings_Otop__class_Otop(tc_bool)=hAPP(c_Complete__Lattice_OInf__class_OInf(tc_bool),c_Orderings_Obot__class_Obot(tc_fun(tc_bool,tc_bool))).
% 0.79/1.00
% 0.79/1.00 ------------- memory usage ------------
% 0.79/1.00 362 mallocs of 32700 bytes each, 11560.0 K.
% 0.79/1.00 type (bytes each) gets frees in use avail bytes
% 0.79/1.00 sym_ent ( 304) 262 0 262 0 77.8 K
% 0.79/1.00 term ( 32) 449797 414381 35416 19 1107.3 K
% 0.79/1.00 rel ( 40) 413118 361996 51122 8 1997.3 K
% 0.79/1.00 term_ptr ( 16) 370975 35751 335224 0 5237.9 K
% 0.79/1.00 formula_ptr_2 ( 56) 0 0 0 0 0.0 K
% 0.79/1.00 fpa_head ( 24) 19723 3323 16400 9 384.6 K
% 0.79/1.00 fpa_tree ( 56) 34612 34612 0 91 5.0 K
% 0.79/1.00 context (1288) 29732 29732 0 5 6.3 K
% 0.79/1.00 trail ( 24) 847145 847145 0 12 0.3 K
% 0.79/1.00 imd_tree ( 32) 1932 1178 754 428 36.9 K
% 0.79/1.00 imd_pos (4024) 26842 26842 0 12 47.2 K
% 0.79/1.00 is_tree ( 24) 42490 5677 36813 0 862.8 K
% 0.79/1.00 is_pos (2424) 869151 869151 0 29 68.6 K
% 0.79/1.00 fsub_pos ( 16) 19472 19472 0 1 0.0 K
% 0.79/1.00 literal ( 32) 17547 6193 11354 0 354.8 K
% 0.79/1.00 clause ( 88) 6796 2255 4541 0 390.2 K
% 0.79/1.00 list ( 272) 10 3 7 1 2.1 K
% 0.79/1.00 clash_nd ( 80) 109 109 0 3 0.2 K
% 0.79/1.00 clause_ptr ( 16) 4731 732 3999 2 62.5 K
% 0.79/1.00 int_ptr ( 16) 45410 11898 33512 0 523.6 K
% 0.79/1.00 ci_ptr ( 24) 0 0 0 0 0.0 K
% 0.79/1.00 link_node ( 120) 0 0 0 0 0.0 K
% 0.79/1.00 ans_lit_node( 24) 0 0 0 0 0.0 K
% 0.79/1.00 formula_box( 168) 0 0 0 0 0.0 K
% 0.79/1.00 formula( 40) 0 0 0 0 0.0 K
% 0.79/1.00 formula_ptr( 16) 0 0 0 0 0.0 K
% 0.79/1.00 cl_attribute( 24) 0 0 0 0 0.0 K
% 0.79/1.00
% 0.79/1.00 ********** ABNORMAL END **********
% 0.79/1.00
% 0.79/1.00 ********** is_delete, can't find end.
% 0.79/1.00 new demod time 0.00
% 0.79/1.00 post_process time 0.00
% 0.79/1.00 back demod time 0.00
% 0.79/1.00 back subsume 0.00
% 0.79/1.00 factor time 0.00
% 0.79/1.00 FINDER time 0.00
% 0.79/1.00 unindex time 0.00
% 0.79/1.00
% 0.79/1.00 Forward subsumption counts, subsumer:number_subsumed.
% 0.79/1.00 1:0 2:0 3:0 4:0 5:1 6:2 7:0 8:0 9:0 10:0
% 0.79/1.00 11:0 12:0 13:0 14:0 15:0 16:2 17:0 18:0 19:0 20:0
% 0.79/1.00 21:0 22:0 23:1 24:1 25:0 26:0 27:0 28:0 29:0 30:0
% 0.79/1.00 31:0 32:0 33:0 34:0 35:0 36:0 37:0 38:0 39:0 40:0
% 0.79/1.00 41:0 42:1 43:0 44:0 45:0 46:0 47:0 48:0 49:0 50:0
% 0.79/1.00 51:0 52:0 53:0 54:0 55:0 56:0 57:0 58:0 59:0 60:0
% 0.79/1.00 61:0 62:0 63:0 64:0 65:1 66:0 67:0 68:0 69:0 70:1
% 0.79/1.00 71:0 72:0 73:0 74:0 75:0 76:0 77:0 78:0 79:0 80:0
% 0.79/1.00 81:0 82:0 83:0 84:0 85:0 86:0 87:0 88:0 89:0 90:0
% 0.79/1.00 91:0 92:0 93:0 94:1 95:1 96:0 97:0 98:0 99:0
% 0.79/1.00 All others: 703.
% 0.79/1.00
% 0.79/1.00 ********** ABNORMAL END **********
% 0.79/1.00
% 0.79/1.00 ********** is_delete, can't find end.
%------------------------------------------------------------------------------