%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : SCT082-1 : 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 : Mon Jul 18 22:12:00 EDT 2022
% Result : Unknown 0.62s 0.82s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SCT082-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.12 % Command : sos-script %s
% 0.12/0.33 % Computer : n004.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
% 0.12/0.33 % DateTime : Sat Jul 2 04:01:08 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.46 ----- Otter 3.2, August 2001 -----
% 0.18/0.46 The process was started by sandbox on n004.cluster.edu,
% 0.18/0.46 Sat Jul 2 04:01:08 2022
% 0.18/0.46 The command was "./sos". The process ID is 8661.
% 0.18/0.46
% 0.18/0.46 set(prolog_style_variables).
% 0.18/0.46 set(auto).
% 0.18/0.46 dependent: set(auto1).
% 0.18/0.46 dependent: set(process_input).
% 0.18/0.46 dependent: clear(print_kept).
% 0.18/0.46 dependent: clear(print_new_demod).
% 0.18/0.46 dependent: clear(print_back_demod).
% 0.18/0.46 dependent: clear(print_back_sub).
% 0.18/0.46 dependent: set(control_memory).
% 0.18/0.46 dependent: assign(max_mem, 12000).
% 0.18/0.46 dependent: assign(pick_given_ratio, 4).
% 0.18/0.46 dependent: assign(stats_level, 1).
% 0.18/0.46 dependent: assign(pick_semantic_ratio, 3).
% 0.18/0.46 dependent: assign(sos_limit, 5000).
% 0.18/0.46 dependent: assign(max_weight, 60).
% 0.18/0.46 clear(print_given).
% 0.18/0.46
% 0.18/0.46 list(usable).
% 0.18/0.46
% 0.18/0.46 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=7.
% 0.18/0.46
% 0.18/0.46 This ia a non-Horn set with equality. The strategy will be
% 0.18/0.46 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.18/0.46 unit deletion, with positive clauses in sos and nonpositive
% 0.18/0.46 clauses in usable.
% 0.18/0.46
% 0.18/0.46 dependent: set(knuth_bendix).
% 0.18/0.46 dependent: set(para_from).
% 0.18/0.46 dependent: set(para_into).
% 0.18/0.46 dependent: clear(para_from_right).
% 0.18/0.46 dependent: clear(para_into_right).
% 0.18/0.46 dependent: set(para_from_vars).
% 0.18/0.46 dependent: set(eq_units_both_ways).
% 0.18/0.46 dependent: set(dynamic_demod_all).
% 0.18/0.46 dependent: set(dynamic_demod).
% 0.18/0.46 dependent: set(order_eq).
% 0.18/0.46 dependent: set(back_demod).
% 0.18/0.46 dependent: set(lrpo).
% 0.18/0.46 dependent: set(hyper_res).
% 0.18/0.46 dependent: set(unit_deletion).
% 0.18/0.46 dependent: set(factor).
% 0.18/0.46
% 0.18/0.46 ------------> process usable:
% 0.18/0.46 Following clause subsumed by 43 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(A),hAPP(B,C)),hAPP(D,C)))| -hBOOL(hAPP(hAPP(c_in(E),C),F))| -hBOOL(hAPP(hAPP(c_in(tc_fun(E,A)),B),c_FuncSet_OPi(F,D,E,A))).
% 0.18/0.46 Following clause subsumed by 64 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)).
% 0.18/0.46 Following clause subsumed by 67 during input processing: 0 [flip.1] {-} c_Suc(A)!=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.18/0.46 Following clause subsumed by 76 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_in(A),B),C))| -c_Fun_Oinj__on(D,C,A,E)|hAPP(c_Hilbert__Choice_Oinv__into(C,D,A,E),hAPP(D,B))=B.
% 0.18/0.46 Following clause subsumed by 79 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Oplus__class_Oplus(B,C,A)=c_HOL_Oplus__class_Oplus(C,B,A).
% 0.18/0.46 Following clause subsumed by 81 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),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(C,F,A,tc_fun(D,tc_bool)))).
% 0.18/0.46 Following clause subsumed by 81 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),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(F,C,E,tc_fun(A,tc_bool)))).
% 0.18/0.46 Following clause subsumed by 85 during input processing: 0 [flip.1] {-} c_HOL_Oplus__class_Oplus(A,B,tc_nat)!=A|B=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.18/0.46 Following clause subsumed by 88 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).
% 0.18/0.46 Following clause subsumed by 97 during input processing: 0 [flip.2] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(B,C,A),D,A)=c_HOL_Oplus__class_Oplus(B,c_HOL_Oplus__class_Oplus(C,D,A),A).
% 0.18/0.46 Following clause subsumed by 97 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(B,C,A),D,A)=c_HOL_Oplus__class_Oplus(B,c_HOL_Oplus__class_Oplus(C,D,A),A).
% 0.18/0.46 Following clause subsumed by 133 during input processing: 0 [] {-} -c_Orderings_Olinorder(A,B,C)| -hBOOL(hAPP(hAPP(B,D),D)).
% 0.18/0.47 Following clause subsumed by 140 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.
% 0.18/0.47 Following clause subsumed by 140 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.
% 0.18/0.47 Following clause subsumed by 140 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)).
% 0.18/0.47 Following clause subsumed by 147 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)).
% 0.18/0.47 Following clause subsumed by 148 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)).
% 0.18/0.47 Following clause subsumed by 148 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)).
% 0.18/0.47 Following clause subsumed by 159 during input processing: 0 [] {-} -class_OrderedGroup_Ogroup__add(A)|c_HOL_Oplus__class_Oplus(hAPP(c_HOL_Ouminus__class_Ouminus(A),B),B,A)=c_HOL_Ozero__class_Ozero(A).
% 0.18/0.47 Following clause subsumed by 173 during input processing: 0 [] {-} hBOOL(hAPP(A,c_Hilbert__Choice_OEps(A,B)))| -hBOOL(hAPP(A,C)).
% 0.18/0.47 Following clause subsumed by 177 during input processing: 0 [] {-} c_Suc(A)!=c_Suc(B)|A=B.
% 0.18/0.47 Following clause subsumed by 235 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)).
% 0.18/0.47 Following clause subsumed by 236 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)).
% 0.18/0.47 Following clause subsumed by 236 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)).
% 0.18/0.47 Following clause subsumed by 249 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(A,B),C))| -hBOOL(hAPP(hAPP(A,C),B))| -c_Orderings_Opreorder(D,A,E).
% 0.18/0.47 Following clause subsumed by 248 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(A,B),B))| -c_Orderings_Opreorder(A,C,D).
% 0.18/0.47 Following clause subsumed by 67 during input processing: 0 [] {-} c_Suc(A)!=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.18/0.47 Following clause subsumed by 262 during input processing: 0 [] {-} c_HOL_Oplus__class_Oplus(A,B,tc_nat)!=c_HOL_Oplus__class_Oplus(A,C,tc_nat)|B=C.
% 0.18/0.47 Following clause subsumed by 277 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))).
% 0.18/0.47 Following clause subsumed by 278 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))).
% 0.18/0.47 Following clause subsumed by 285 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(A),B),c_Set_Ovimage(C,D,A,E)))| -hBOOL(hAPP(hAPP(c_in(E),hAPP(C,B)),D)).
% 0.18/0.47 Following clause subsumed by 285 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(A),B),c_Set_Ovimage(C,D,A,E)))| -hBOOL(hAPP(hAPP(c_in(E),hAPP(C,B)),D)).
% 0.18/0.47 Following clause subsumed by 286 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(A),hAPP(B,C)),D))| -hBOOL(hAPP(hAPP(c_in(E),C),c_Set_Ovimage(B,D,E,A))).
% 0.18/0.47 Following clause subsumed by 309 during input processing: 0 [] {-} c_Set_Oimage(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(A,tc_bool)),B,A,C),c_Set_Oimage(B,D,A,C),C,A)=D| -c_Fun_Oinj__on(B,c_Orderings_Otop__class_Otop(tc_fun(A,tc_bool)),A,C).
% 0.18/0.47 Following clause subsumed by 310 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(A,B),C))|B=C| -hBOOL(hAPP(hAPP(D,B),C))| -c_Orderings_Oorder(D,A,E).
% 0.18/0.47 Following clause subsumed by 310 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(A,B),C))|B=C| -hBOOL(hAPP(hAPP(D,B),C))| -c_Orderings_Oorder(D,A,E).
% 0.18/0.47 Following clause subsumed by 310 during input processing: 0 [] {-} A=B|hBOOL(hAPP(hAPP(C,A),B))| -hBOOL(hAPP(hAPP(D,A),B))| -c_Orderings_Oorder(D,C,E).
% 0.18/0.47 Following clause subsumed by 330 during input processing: 0 [] {-} A=B| -hBOOL(hAPP(hAPP(C,A),B))|hBOOL(hAPP(hAPP(D,A),B))| -c_Orderings_Olinorder(C,D,E).
% 0.18/0.47 Following clause subsumed by 340 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__semidom(A)|hBOOL(hAPP(hAPP(c_lessequals(A),c_HOL_Ozero__class_Ozero(A)),c_Nat_Osemiring__1__class_Oof__nat(B,A))).
% 0.18/0.47 Following clause subsumed by 67 during input processing: 0 [] {-} c_Suc(A)!=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.18/0.47 Following clause subsumed by 351 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(A,B),C))|hBOOL(hAPP(hAPP(D,C),B))| -c_Orderings_Olinorder(D,A,E).
% 0.18/0.47 Following clause subsumed by 350 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(A,B),C))| -hBOOL(hAPP(hAPP(D,C),B))| -c_Orderings_Olinorder(A,D,E).
% 0.18/0.47 Following clause subsumed by 351 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(A,B),C))|hBOOL(hAPP(hAPP(D,C),B))| -c_Orderings_Olinorder(D,A,E).
% 0.18/0.47 Following clause subsumed by 352 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(A,B),B))| -c_Orderings_Olinorder(C,A,D)|hBOOL(hAPP(hAPP(C,B),B)).
% 0.18/0.47 Following clause subsumed by 133 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(A,B),B))| -c_Orderings_Olinorder(A,C,D)| -hBOOL(hAPP(hAPP(C,B),B)).
% 0.18/0.47 Following clause subsumed by 382 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_in(A),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))).
% 0.18/0.47 Following clause subsumed by 382 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)))).
% 0.18/0.47 Following clause subsumed by 382 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_in(A),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))).
% 0.18/0.47 Following clause subsumed by 388 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)).
% 0.18/0.47 Following clause subsumed by 388 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)).
% 0.18/0.47 Following clause subsumed by 391 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)).
% 0.18/0.47 Following clause subsumed by 369 during input processing: 0 [] {-} -class_OrderedGroup_Ogroup__add(A)|hAPP(c_HOL_Ouminus__class_Ouminus(A),c_HOL_Ozero__class_Ozero(A))=c_HOL_Ozero__class_Ozero(A).
% 0.18/0.47 Following clause subsumed by 411 during input processing: 0 [flip.1] {-} c_Suc(A)!=A.
% 0.18/0.47 Following clause subsumed by 413 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)).
% 0.18/0.47 Following clause subsumed by 414 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)).
% 0.18/0.47 Following clause subsumed by 418 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(A),B,A)=B.
% 0.18/0.47 Following clause subsumed by 427 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_in(A),B),C))|hBOOL(hAPP(hAPP(c_in(D),hAPP(E,B)),c_Set_Oimage(E,C,A,D))).
% 0.18/0.47 Following clause subsumed by 427 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(A),hAPP(B,C)),c_Set_Oimage(B,D,E,A)))| -hBOOL(hAPP(hAPP(c_in(E),C),D)).
% 0.18/0.47 Following clause subsumed by 427 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(A),hAPP(B,C)),c_Set_Oimage(B,D,E,A)))| -hBOOL(hAPP(hAPP(c_in(E),C),D)).
% 0.18/0.47 Following clause subsumed by 429 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.
% 0.18/0.47 Following clause subsumed by 429 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.
% 0.18/0.47 Following clause subsumed by 429 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.
% 0.18/0.47 Following clause subsumed by 440 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))).
% 0.18/0.47 Following clause subsumed by 441 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)).
% 0.18/0.47 Following clause subsumed by 442 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)).
% 0.18/0.47 Following clause subsumed by 443 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)).
% 0.18/0.47 Following clause subsumed by 443 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)).
% 0.18/0.47 Following clause subsumed by 443 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)).
% 0.18/0.47 Following clause subsumed by 444 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)).
% 0.18/0.47 Following clause subsumed by 463 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)).
% 0.18/0.47 Following clause subsumed by 463 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)).
% 0.18/0.47 Following clause subsumed by 465 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)).
% 0.18/0.47 Following clause subsumed by 463 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)).
% 0.18/0.47 Following clause subsumed by 469 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))).
% 0.18/0.47 Following clause subsumed by 470 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)).
% 0.18/0.47 Following clause subsumed by 485 during input processing: 0 [] {-} A=B|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),B))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),c_Suc(B))).
% 0.18/0.48 Following clause subsumed by 505 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)).
% 0.18/0.48 Following clause subsumed by 505 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)).
% 0.18/0.48 Following clause subsumed by 505 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)).
% 0.18/0.48 Following clause subsumed by 508 during input processing: 0 [] {-} hBOOL(hAPP(A,B))| -hBOOL(hAPP(hAPP(c_lessequals(tc_fun(C,tc_bool)),D),A))| -hBOOL(hAPP(D,B)).
% 0.18/0.48 Following clause subsumed by 511 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).
% 0.18/0.48 Following clause subsumed by 518 during input processing: 0 [] {-} -c_Fun_Oinj__on(A,c_Orderings_Otop__class_Otop(tc_fun(B,tc_bool)),B,C)|hAPP(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(B,tc_bool)),A,B,C),hAPP(A,D))=D.
% 0.18/0.48 Following clause subsumed by 519 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(tc_prod(A,B)),c_Pair(C,D,A,B)),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)).
% 0.18/0.48 Following clause subsumed by 520 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_in(A),B),C))|hBOOL(hAPP(hAPP(D,B),E))| -hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(C,D,A,tc_fun(F,tc_bool)),E)).
% 0.18/0.48 Following clause subsumed by 520 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(A,B),C))| -hBOOL(hAPP(hAPP(c_in(D),B),E))| -hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(E,A,D,tc_fun(F,tc_bool)),C)).
% 0.18/0.48 Following clause subsumed by 528 during input processing: 0 [] {-} A=B| -hBOOL(hAPP(hAPP(C,B),A))| -hBOOL(hAPP(hAPP(C,A),B))| -c_Orderings_Oorder(C,D,E).
% 0.18/0.48 Following clause subsumed by 528 during input processing: 0 [] {-} A=B| -hBOOL(hAPP(hAPP(C,A),B))| -hBOOL(hAPP(hAPP(C,B),A))| -c_Orderings_Oorder(C,D,E).
% 0.18/0.48 Following clause subsumed by 537 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(A,B),C))|hBOOL(hAPP(hAPP(A,C),B))|C=B| -c_Orderings_Olinorder(D,A,E).
% 0.18/0.48 Following clause subsumed by 537 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(A,B),C))|C=B|hBOOL(hAPP(hAPP(A,C),B))| -c_Orderings_Olinorder(D,A,E).
% 0.18/0.48 Following clause subsumed by 537 during input processing: 0 [] {-} A=B|hBOOL(hAPP(hAPP(C,A),B))|hBOOL(hAPP(hAPP(C,B),A))| -c_Orderings_Olinorder(D,C,E).
% 0.18/0.48 Following clause subsumed by 544 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)).
% 0.18/0.48 Following clause subsumed by 549 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)),c_Set_Oimage(E,B,A,D)),c_Set_Oimage(E,C,A,D))).
% 0.18/0.48 Following clause subsumed by 555 during input processing: 0 [] {-} A=B|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(C,tc_bool)),A),B))| -hBOOL(hAPP(hAPP(c_lessequals(tc_fun(C,tc_bool)),A),B)).
% 0.18/0.48 Following clause subsumed by 488 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),c_HOL_Oplus__class_Oplus(B,C,tc_nat)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),C)).
% 0.18/0.48 Following clause subsumed by 563 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),c_HOL_Oplus__class_Oplus(B,C,tc_nat)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),B)).
% 0.18/0.48 Following clause subsumed by 569 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.18/0.48 Following clause subsumed by 579 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_Suc(A)),c_Suc(B)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),B)).
% 0.18/0.49 Following clause subsumed by 313 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).
% 0.18/0.49 Following clause subsumed by 618 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)).
% 0.18/0.49 Following clause subsumed by 621 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)).
% 0.18/0.49 Following clause subsumed by 621 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.
% 0.18/0.49 Following clause subsumed by 621 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)).
% 0.18/0.49 Following clause subsumed by 626 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),A)).
% 0.18/0.49 156 back subsumes 61.
% 0.18/0.49 173 back subsumes 21.
% 0.18/0.49 300 back subsumes 299.
% 0.18/0.49 382 back subsumes 163.
% 0.18/0.49 427 back subsumes 93.
% 0.18/0.49 465 back subsumes 464.
% 0.18/0.49 488 back subsumes 433.
% 0.18/0.49 545 back subsumes 527.
% 0.18/0.49 549 back subsumes 32.
% 0.18/0.49 563 back subsumes 434.
% 0.18/0.49 569 back subsumes 482.
% 0.18/0.49 677 back subsumes 676.
% 0.18/0.49
% 0.18/0.49 ------------> process sos:
% 0.18/0.49 Following clause subsumed by 725 during input processing: 0 [demod,720] {-} hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),c_HOL_Oplus__class_Oplus(A,c_Suc(B),tc_nat))).
% 0.18/0.49 Following clause subsumed by 728 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))))).
% 0.18/0.49 Following clause subsumed by 722 during input processing: 0 [] {-} c_HOL_Oplus__class_Oplus(c_Suc(A),B,tc_nat)=c_HOL_Oplus__class_Oplus(A,c_Suc(B),tc_nat).
% 0.18/0.49 Following clause subsumed by 754 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),c_Suc(A))).
% 0.18/0.49 Following clause subsumed by 749 during input processing: 0 [] {-} c_Set_Oimage(c_COMBK(A,B,C),c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C,B)=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)).
% 0.18/0.49 Following clause subsumed by 754 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)))).
% 0.18/0.49 Following clause subsumed by 728 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)))).
% 0.18/0.49 Following clause subsumed by 828 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),c_Suc(A))).
% 0.18/0.49 Following clause subsumed by 829 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_lessequals(tc_fun(A,tc_bool)),B),B)).
% 0.18/0.49 Following clause subsumed by 820 during input processing: 0 [demod,818] {-} c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)).
% 0.18/0.49 Following clause subsumed by 820 during input processing: 0 [demod,708] {-} c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 0.18/0.49 Following clause subsumed by 828 during input processing: 0 [unit_del,626] {-} hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),c_Suc(A))).
% 0.18/0.49 Following clause subsumed by 820 during input processing: 0 [demod,809,826,809] {-} c_Set_Oimage(D,c_Set_Oimage(E,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(C,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))),C,A),A,B)=c_Set_Oimage(D,c_Set_Oimage(E,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(C,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))),C,A),A,B).
% 0.18/0.49 Following clause subsumed by 881 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)).
% 0.18/0.49 Following clause subsumed by 881 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.
% 0.18/0.49 Following clause subsumed by 820 during input processing: 0 [demod,809,809,876] {-} c_Set_Oimage(v_h____,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool))),tc_Arrow__Order__Mirabelle_Oindi,tc_nat)=c_Set_Oimage(v_h____,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool))),tc_Arrow__Order__Mirabelle_Oindi,tc_nat).
% 0.18/0.49 Following clause subsumed by 886 during input processing: 0 [] {-} hAPP(hAPP(c_COMBC(A,B,C,D),E),F)=hAPP(hAPP(A,F),E).
% 0.18/0.49 Following clause subsumed by 820 during input processing: 0 [demod,885] {-} hAPP(D,hAPP(E,F))=hAPP(D,hAPP(E,F)).
% 0.18/0.49 Following clause subsumed by 820 during input processing: 0 [demod,888] {-} A=A.
% 0.18/0.49 Following clause subsumed by 820 during input processing: 0 [] {-} A=A.
% 0.18/0.49 Following clause subsumed by 733 during input processing: 0 [copy,733,flip.1] {-} c_HOL_Oplus__class_Oplus(A,B,tc_nat)=c_HOL_Oplus__class_Oplus(B,A,tc_nat).
% 0.18/0.49 Following clause subsumed by 779 during input processing: 0 [copy,740,flip.1] {-} c_Complete__Lattice_Ocomplete__lattice__class_OINFI(A,hAPP(hAPP(c_COMBB(B,tc_fun(C,tc_bool),D),E),F),D,tc_fun(C,tc_bool))=c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Set_Oimage(F,A,D,B),E,B,tc_fun(C,tc_bool)).
% 0.18/0.49 Following clause subsumed by 741 during input processing: 0 [copy,741,flip.1] {-} c_HOL_Oplus__class_Oplus(A,c_HOL_Oplus__class_Oplus(B,C,tc_nat),tc_nat)=c_HOL_Oplus__class_Oplus(B,c_HOL_Oplus__class_Oplus(A,C,tc_nat),tc_nat).
% 0.18/0.49 Following clause subsumed by 790 during input processing: 0 [copy,749,flip.1] {-} c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=c_Set_Oimage(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C,A).
% 0.18/0.49 Following clause subsumed by 751 during input processing: 0 [copy,751,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)).
% 0.18/0.49 Following clause subsumed by 757 during input processing: 0 [copy,757,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).
% 0.18/0.49 Following clause subsumed by 764 during input processing: 0 [copy,764,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)).
% 0.18/0.49 Following clause subsumed by 820 during input processing: 0 [copy,777,flip.1] {-} c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)).
% 0.18/0.49 Following clause subsumed by 740 during input processing: 0 [copy,779,flip.1] {-} c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Set_Oimage(A,B,C,D),E,D,tc_fun(F,tc_bool))=c_Complete__Lattice_Ocomplete__lattice__class_OINFI(B,hAPP(hAPP(c_COMBB(D,tc_fun(F,tc_bool),C),E),A),C,tc_fun(F,tc_bool)).
% 0.18/0.49 Following clause subsumed by 784 during input processing: 0 [copy,784,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).
% 0.18/0.49 Following clause subsumed by 749 during input processing: 0 [copy,790,flip.1] {-} c_Set_Oimage(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B,C)=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 0.18/0.49 Following clause subsumed by 820 during input processing: 0 [copy,820,flip.1] {-} A=A.
% 0.18/0.49 820 back subsumes 777.
% 0.18/0.49 820 back subsumes 701.
% 0.18/0.49 820 back subsumes 700.
% 0.18/0.49 820 back subsumes 693.
% 0.18/0.49 820 back subsumes 692.
% 0.18/0.49 820 back subsumes 680.
% 0.18/0.49 820 back subsumes 679.
% 0.18/0.49 820 back subsumes 675.
% 0.18/0.49 820 back subsumes 674.
% 0.18/0.49 820 back subsumes 671.
% 0.18/0.49 820 back subsumes 670.
% 0.18/0.49 820 back subsumes 656.
% 0.18/0.49 820 back subsumes 654.
% 0.18/0.49 820 back subsumes 649.
% 0.18/0.49 Following clause subsumed by 944 during input processing: 0 [copy,865,flip.1] {-} hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(A,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))=c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),c_COMBK(C,tc_fun(A,tc_bool),B),B,tc_fun(A,tc_bool)).
% 0.18/0.49 Following clause subsumed by 712 during input processing: 0 [copy,935,flip.1] {-} hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C)),D)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),D)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),C),D)).
% 0.18/0.49 Following clause subsumed by 716 during input processing: 0 [copy,936,flip.1] {-} hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(A,tc_bool)),B))=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 0.18/0.49 Following clause subsumed by 717 during input processing: 0 [copy,937,flip.1] {-} hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(A,tc_bool)),B)),B)=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 0.18/0.49 Following clause subsumed by 722 during input processing: 0 [copy,938,flip.1] {-} c_HOL_Oplus__class_Oplus(c_Suc(A),B,tc_nat)=c_HOL_Oplus__class_Oplus(A,c_Suc(B),tc_nat).
% 0.18/0.49 Following clause subsumed by 744 during input processing: 0 [copy,939,flip.1] {-} hAPP(c_COMBS(A,B,C,D,E),F)=hAPP(hAPP(A,F),hAPP(B,F)).
% 0.18/0.49 Following clause subsumed by 950 during input processing: 0 [copy,940,flip.1] {-} hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(A,tc_bool)),B)),B)=hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(A,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))).
% 0.18/0.49 Following clause subsumed by 947 during input processing: 0 [copy,941,flip.1] {-} hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(A,tc_bool)),B))=hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(A,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))).
% 0.18/0.49 Following clause subsumed by 783 during input processing: 0 [copy,942,flip.1] {-} c_Set_Ovimage(A,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(B,tc_bool)),C),D,B)=hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(D,tc_bool)),c_Set_Ovimage(A,C,D,B)).
% 0.18/0.49 Following clause subsumed by 793 during input processing: 0 [copy,943,flip.1] {-} c_Set_Ovimage(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,tc_bool)),C),D),E,B)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(E,tc_bool)),c_Set_Ovimage(A,C,E,B)),c_Set_Ovimage(A,D,E,B)).
% 0.18/0.49 Following clause subsumed by 946 during input processing: 0 [copy,944,flip.1] {-} c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B,A,tc_fun(C,tc_bool))=hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(C,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))).
% 0.18/0.49 Following clause subsumed by 806 during input processing: 0 [copy,945,flip.1] {-} hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C)),D)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),D)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),C),D)).
% 0.18/0.49 Following clause subsumed by 944 during input processing: 0 [copy,946,flip.1] {-} hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(A,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))=c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),C,B,tc_fun(A,tc_bool)).
% 0.18/0.49 946 back subsumes 865.
% 0.18/0.49 Following clause subsumed by 941 during input processing: 0 [copy,947,flip.1] {-} hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(A,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(A,tc_bool)),B)).
% 0.18/0.49 Following clause subsumed by 940 during input processing: 0 [copy,950,flip.1] {-} hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(A,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(A,tc_bool)),B)),B).
% 0.18/0.49 Following clause subsumed by 823 during input processing: 0 [copy,976,flip.1] {-} c_Set_Ovimage(A,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,tc_bool)),C),D),E,B)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(E,tc_bool)),c_Set_Ovimage(A,C,E,B)),c_Set_Ovimage(A,D,E,B)).
% 0.18/0.49 Following clause subsumed by 830 during input processing: 0 [copy,977,flip.1] {-} c_Complete__Lattice_Ocomplete__lattice__class_OINFI(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C),D,A,tc_fun(E,tc_bool))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(E,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(B,D,A,tc_fun(E,tc_bool))),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(C,D,A,tc_fun(E,tc_bool))).
% 0.18/0.49 Following clause subsumed by 836 during input processing: 0 [copy,978,flip.1] {-} c_FuncSet_OPi(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B,A,C)=hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(tc_fun(A,C),tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(A,C),tc_bool))).
% 0.18/0.49 Following clause subsumed by 837 during input processing: 0 [copy,979,flip.1] {-} c_Set_Oimage(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,tc_bool)),C),D),B,E)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(E,tc_bool)),c_Set_Oimage(A,C,B,E)),c_Set_Oimage(A,D,B,E)).
% 0.18/0.49 Following clause subsumed by 838 during input processing: 0 [copy,980,flip.1] {-} c_Set_Ovimage(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),C,B)=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 0.18/0.49 Following clause subsumed by 845 during input processing: 0 [copy,981,flip.1] {-} hAPP(c_Hilbert__Choice_Oinv__into(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(A,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))),B,A,t_a),v_y)=c_Hilbert__Choice_OEps(hAPP(c_COMBC(hAPP(hAPP(c_COMBB(t_a,tc_fun(t_a,tc_bool),A),c_fequal(t_a)),B),A,t_a,tc_bool),v_y),A).
% 0.18/0.49 Following clause subsumed by 863 during input processing: 0 [copy,982,flip.1] {-} c_Set_Ovimage(A,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(B,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool))),C,B)=hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(C,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))).
% 0.18/0.49 Following clause subsumed by 867 during input processing: 0 [copy,983,flip.1] {-} c_FuncSet_OPi(A,c_COMBK(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(B,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool))),tc_fun(B,tc_bool),C),C,B)=hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(tc_fun(C,B),tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(C,B),tc_bool))).
% 0.18/0.49 Following clause subsumed by 886 during input processing: 0 [copy,985,flip.1] {-} hAPP(hAPP(c_COMBC(A,B,C,D),E),F)=hAPP(hAPP(A,F),E).
% 0.18/0.49
% 0.18/0.49 ======= end of input processing =======
% 0.62/0.81
% 0.62/0.81
% 0.62/0.81
% 0.62/0.81 Aborting on detection of an error:
% 0.62/0.81
% 0.62/0.81 Too many clauses (whew!).
% 0.62/0.81
%------------------------------------------------------------------------------