%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : SWV876-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n015.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 : Wed Jul 20 21:40:31 EDT 2022
% Result : Unknown 0.65s 0.90s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV876-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13 % Command : sos-script %s
% 0.13/0.34 % Computer : n015.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Wed Jun 15 09:25:55 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.48 ----- Otter 3.2, August 2001 -----
% 0.19/0.48 The process was started by sandbox on n015.cluster.edu,
% 0.19/0.48 Wed Jun 15 09:25:55 2022
% 0.19/0.48 The command was "./sos". The process ID is 25866.
% 0.19/0.48
% 0.19/0.48 set(prolog_style_variables).
% 0.19/0.48 set(auto).
% 0.19/0.48 dependent: set(auto1).
% 0.19/0.48 dependent: set(process_input).
% 0.19/0.48 dependent: clear(print_kept).
% 0.19/0.48 dependent: clear(print_new_demod).
% 0.19/0.48 dependent: clear(print_back_demod).
% 0.19/0.48 dependent: clear(print_back_sub).
% 0.19/0.48 dependent: set(control_memory).
% 0.19/0.48 dependent: assign(max_mem, 12000).
% 0.19/0.48 dependent: assign(pick_given_ratio, 4).
% 0.19/0.48 dependent: assign(stats_level, 1).
% 0.19/0.48 dependent: assign(pick_semantic_ratio, 3).
% 0.19/0.48 dependent: assign(sos_limit, 5000).
% 0.19/0.48 dependent: assign(max_weight, 60).
% 0.19/0.48 clear(print_given).
% 0.19/0.48
% 0.19/0.48 list(usable).
% 0.19/0.48
% 0.19/0.48 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=7.
% 0.19/0.48
% 0.19/0.48 This ia a non-Horn set with equality. The strategy will be
% 0.19/0.48 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.19/0.48 unit deletion, with positive clauses in sos and nonpositive
% 0.19/0.48 clauses in usable.
% 0.19/0.48
% 0.19/0.48 dependent: set(knuth_bendix).
% 0.19/0.48 dependent: set(para_from).
% 0.19/0.48 dependent: set(para_into).
% 0.19/0.48 dependent: clear(para_from_right).
% 0.19/0.48 dependent: clear(para_into_right).
% 0.19/0.48 dependent: set(para_from_vars).
% 0.19/0.48 dependent: set(eq_units_both_ways).
% 0.19/0.48 dependent: set(dynamic_demod_all).
% 0.19/0.48 dependent: set(dynamic_demod).
% 0.19/0.48 dependent: set(order_eq).
% 0.19/0.48 dependent: set(back_demod).
% 0.19/0.48 dependent: set(lrpo).
% 0.19/0.48 dependent: set(hyper_res).
% 0.19/0.48 dependent: set(unit_deletion).
% 0.19/0.48 dependent: set(factor).
% 0.19/0.48
% 0.19/0.48 ------------> process usable:
% 0.19/0.48 Following clause subsumed by 1 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),c_Orderings_Oord__class_Omax(C,D,A)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),C)).
% 0.19/0.48 Following clause subsumed by 2 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),c_Orderings_Oord__class_Omax(C,D,A)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),D)).
% 0.19/0.48 Following clause subsumed by 10 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oinverse__class_Odivide(B,c_HOL_Ozero__class_Ozero(A),A)=c_HOL_Ozero__class_Ozero(A).
% 0.19/0.48 Following clause subsumed by 12 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_Orderings_Oord__class_Omin(A),B),C),A),D))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),D)).
% 0.19/0.48 Following clause subsumed by 13 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_Orderings_Oord__class_Omin(A),B),C),A),D))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(C,A),D)).
% 0.19/0.48 Following clause subsumed by 11 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(A),c_HOL_Ozero__class_Ozero(A),A)=c_HOL_Ozero__class_Ozero(A).
% 0.19/0.48 Following clause subsumed by 42 during input processing: 0 [] {-} hBOOL(c_in(A,c_Set_Ovimage(B,C,D,E),D))| -hBOOL(c_in(hAPP(B,A),C,E)).
% 0.19/0.48 Following clause subsumed by 42 during input processing: 0 [] {-} hBOOL(c_in(A,c_Set_Ovimage(B,C,D,E),D))| -hBOOL(c_in(hAPP(B,A),C,E)).
% 0.19/0.48 Following clause subsumed by 52 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)|c_HOL_Oinverse__class_Odivide(B,B,A)=c_HOL_Oone__class_Oone(A)|B=c_HOL_Ozero__class_Ozero(A).
% 0.19/0.48 Following clause subsumed by 52 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oinverse__class_Odivide(B,B,A)=c_HOL_Oone__class_Oone(A)|B=c_HOL_Ozero__class_Ozero(A).
% 0.19/0.48 Following clause subsumed by 63 during input processing: 0 [] {-} -hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_nat),c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.19/0.48 Following clause subsumed by 64 during input processing: 0 [flip.2] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C)),D)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),C),D)).
% 0.19/0.48 Following clause subsumed by 64 during input processing: 0 [flip.2] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C)),D)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),C),D)).
% 0.19/0.48 Following clause subsumed by 77 during input processing: 0 [] {-} -class_OrderedGroup_Ocomm__monoid__mult(A)|c_Finite__Set_Osetprod(B,C,D,A)=c_HOL_Oone__class_Oone(A)|c_Finite__Set_Ofinite(C,D).
% 0.19/0.48 Following clause subsumed by 93 during input processing: 0 [flip.1] {-} c_Suc(A)!=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.19/0.48 Following clause subsumed by 99 during input processing: 0 [] {-} hBOOL(hAPP(c_lessequals(c_Suc(A),tc_nat),B))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_nat),B)).
% 0.19/0.48 Following clause subsumed by 100 during input processing: 0 [] {-} hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_nat),B))| -hBOOL(hAPP(c_lessequals(c_Suc(A),tc_nat),B)).
% 0.19/0.48 Following clause subsumed by 103 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),C),B).
% 0.19/0.48 Following clause subsumed by 110 during input processing: 0 [] {-} c_Suc(A)!=c_Suc(B)|A=B.
% 0.19/0.48 Following clause subsumed by 47 during input processing: 0 [flip.2] {-} -class_Ring__and__Field_Ozero__neq__one(A)|c_HOL_Ozero__class_Ozero(A)!=c_HOL_Oone__class_Oone(A).
% 0.19/0.48 Following clause subsumed by 125 during input processing: 0 [] {-} hBOOL(c_in(hAPP(A,B),C,D))| -hBOOL(c_in(B,c_Set_Ovimage(A,C,E,D),E)).
% 0.19/0.48 Following clause subsumed by 133 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).
% 0.19/0.48 Following clause subsumed by 152 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),c_HOL_Ozero__class_Ozero(A)),B)=B.
% 0.19/0.48 Following clause subsumed by 170 during input processing: 0 [] {-} hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Suc(A),tc_nat),c_Suc(B)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_nat),B)).
% 0.19/0.48 Following clause subsumed by 174 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|B=C| -hBOOL(hAPP(c_lessequals(B,A),C))|hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),C)).
% 0.19/0.48 Following clause subsumed by 175 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),C))|B=C| -hBOOL(hAPP(c_lessequals(B,A),C)).
% 0.19/0.48 Following clause subsumed by 175 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),C))|B=C| -hBOOL(hAPP(c_lessequals(B,A),C)).
% 0.19/0.48 Following clause subsumed by 175 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C|hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),C))| -hBOOL(hAPP(c_lessequals(B,A),C)).
% 0.19/0.48 Following clause subsumed by 176 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),C))|C=B| -hBOOL(hAPP(c_lessequals(B,A),C)).
% 0.19/0.48 Following clause subsumed by 186 during input processing: 0 [] {-} -class_Lattices_Olower__semilattice(A)|hBOOL(hAPP(c_lessequals(B,A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),D)))| -hBOOL(hAPP(c_lessequals(B,A),D))| -hBOOL(hAPP(c_lessequals(B,A),C)).
% 0.19/0.48 Following clause subsumed by 186 during input processing: 0 [] {-} -class_Lattices_Olower__semilattice(A)|hBOOL(hAPP(c_lessequals(B,A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),D)))| -hBOOL(hAPP(c_lessequals(B,A),D))| -hBOOL(hAPP(c_lessequals(B,A),C)).
% 0.19/0.48 Following clause subsumed by 200 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(c_lessequals(B,A),c_Orderings_Oord__class_Omax(C,D,A)))| -hBOOL(hAPP(c_lessequals(B,A),C)).
% 0.19/0.48 Following clause subsumed by 201 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(c_lessequals(B,A),c_Orderings_Oord__class_Omax(C,D,A)))| -hBOOL(hAPP(c_lessequals(B,A),D)).
% 0.19/0.49 Following clause subsumed by 198 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(c_lessequals(B,A),C))| -hBOOL(hAPP(c_lessequals(c_Orderings_Oord__class_Omax(B,D,A),A),C)).
% 0.19/0.49 Following clause subsumed by 199 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(c_lessequals(B,A),C))| -hBOOL(hAPP(c_lessequals(c_Orderings_Oord__class_Omax(D,B,A),A),C)).
% 0.19/0.49 Following clause subsumed by 205 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omin(A),B),C),A),D))| -hBOOL(hAPP(c_lessequals(B,A),D)).
% 0.19/0.49 Following clause subsumed by 206 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omin(A),B),C),A),D))| -hBOOL(hAPP(c_lessequals(C,A),D)).
% 0.19/0.49 Following clause subsumed by 210 during input processing: 0 [] {-} A=B| -hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_nat),c_Suc(B)))|hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_nat),B)).
% 0.19/0.49 Following clause subsumed by 219 during input processing: 0 [] {-} -hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_nat),A)).
% 0.19/0.49 Following clause subsumed by 227 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),C))|hBOOL(hAPP(c_HOL_Oord__class_Oless(C,A),B))|C=B.
% 0.19/0.49 Following clause subsumed by 227 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),C))|C=B|hBOOL(hAPP(c_HOL_Oord__class_Oless(C,A),B)).
% 0.19/0.49 Following clause subsumed by 227 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|B=C|hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),C))|hBOOL(hAPP(c_HOL_Oord__class_Oless(C,A),B)).
% 0.19/0.49 Following clause subsumed by 228 during input processing: 0 [flip.1] {-} c_Suc(c_HOL_Ominus__class_Ominus(A,c_HOL_Oone__class_Oone(tc_nat),tc_nat))=A| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),A)).
% 0.19/0.49 Following clause subsumed by 93 during input processing: 0 [] {-} c_Suc(A)!=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.19/0.49 Following clause subsumed by 93 during input processing: 0 [] {-} c_Suc(A)!=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.19/0.49 Following clause subsumed by 219 during input processing: 0 [] {-} -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.19/0.49 Following clause subsumed by 245 during input processing: 0 [flip.1] {-} c_Suc(A)!=A.
% 0.19/0.49 Following clause subsumed by 248 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(B,C,A),A),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(C,A),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),B)).
% 0.19/0.49 Following clause subsumed by 247 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(B,C,A),A),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),C))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),c_HOL_Ozero__class_Ozero(A))).
% 0.19/0.49 Following clause subsumed by 256 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.
% 0.19/0.49 Following clause subsumed by 269 during input processing: 0 [] {-} hBOOL(c_in(A,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,tc_bool)),C),D),B))| -hBOOL(c_in(A,D,B))| -hBOOL(c_in(A,C,B)).
% 0.19/0.49 Following clause subsumed by 10 during input processing: 0 [flip.3] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oinverse__class_Odivide(B,c_HOL_Ozero__class_Ozero(A),A)=c_HOL_Ozero__class_Ozero(A).
% 0.19/0.49 Following clause subsumed by 203 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(c_lessequals(B,A),C))| -hBOOL(hAPP(c_lessequals(B,A),hAPP(hAPP(c_Orderings_Oord__class_Omin(A),C),D))).
% 0.19/0.49 Following clause subsumed by 204 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(c_lessequals(B,A),C))| -hBOOL(hAPP(c_lessequals(B,A),hAPP(hAPP(c_Orderings_Oord__class_Omin(A),D),C))).
% 0.19/0.49 Following clause subsumed by 273 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(c_lessequals(c_Orderings_Oord__class_Omax(B,C,A),A),D))| -hBOOL(hAPP(c_lessequals(C,A),D))| -hBOOL(hAPP(c_lessequals(B,A),D)).
% 0.19/0.49 Following clause subsumed by 273 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(c_lessequals(c_Orderings_Oord__class_Omax(B,C,A),A),D))| -hBOOL(hAPP(c_lessequals(C,A),D))| -hBOOL(hAPP(c_lessequals(B,A),D)).
% 0.19/0.49 Following clause subsumed by 276 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(c_lessequals(B,A),hAPP(hAPP(c_Orderings_Oord__class_Omin(A),C),D)))| -hBOOL(hAPP(c_lessequals(B,A),D))| -hBOOL(hAPP(c_lessequals(B,A),C)).
% 0.19/0.49 Following clause subsumed by 276 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(c_lessequals(B,A),hAPP(hAPP(c_Orderings_Oord__class_Omin(A),C),D)))| -hBOOL(hAPP(c_lessequals(B,A),D))| -hBOOL(hAPP(c_lessequals(B,A),C)).
% 0.19/0.49 Following clause subsumed by 221 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -hBOOL(hAPP(c_lessequals(B,A),B))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),B)).
% 0.19/0.49 Following clause subsumed by 284 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),B))|hBOOL(hAPP(c_lessequals(B,A),B)).
% 0.19/0.49 Following clause subsumed by 284 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(c_lessequals(B,A),C))|hBOOL(hAPP(c_HOL_Oord__class_Oless(C,A),B)).
% 0.19/0.49 Following clause subsumed by 285 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -hBOOL(hAPP(c_lessequals(B,A),C))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(C,A),B)).
% 0.19/0.49 Following clause subsumed by 284 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),C))|hBOOL(hAPP(c_lessequals(C,A),B)).
% 0.19/0.49 Following clause subsumed by 290 during input processing: 0 [] {-} -class_Lattices_Olower__semilattice(A)|hBOOL(hAPP(c_lessequals(B,A),C))| -hBOOL(hAPP(c_lessequals(B,A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),D))).
% 0.19/0.49 Following clause subsumed by 291 during input processing: 0 [] {-} -class_Lattices_Olower__semilattice(A)|hBOOL(hAPP(c_lessequals(B,A),C))| -hBOOL(hAPP(c_lessequals(B,A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),D),C))).
% 0.19/0.49 Following clause subsumed by 318 during input processing: 0 [] {-} hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_fun(B,tc_bool)),C))|A=C| -hBOOL(hAPP(c_lessequals(A,tc_fun(B,tc_bool)),C)).
% 0.19/0.49 Following clause subsumed by 322 during input processing: 0 [] {-} hBOOL(hAPP(c_lessequals(A,tc_fun(B,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,tc_bool)),C),D)))| -hBOOL(hAPP(c_lessequals(A,tc_fun(B,tc_bool)),D))| -hBOOL(hAPP(c_lessequals(A,tc_fun(B,tc_bool)),C)).
% 0.19/0.49 Following clause subsumed by 332 during input processing: 0 [] {-} A=B|hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_nat),B))| -hBOOL(hAPP(c_lessequals(A,tc_nat),B)).
% 0.19/0.49 Following clause subsumed by 332 during input processing: 0 [] {-} hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_nat),B))|A=B| -hBOOL(hAPP(c_lessequals(A,tc_nat),B)).
% 0.19/0.49 Following clause subsumed by 336 during input processing: 0 [] {-} hBOOL(hAPP(c_lessequals(A,tc_nat),B))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_nat),B)).
% 0.19/0.49 Following clause subsumed by 355 during input processing: 0 [] {-} -class_Orderings_Opreorder(A)| -hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),C))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(C,A),B)).
% 0.19/0.49 Following clause subsumed by 397 during input processing: 0 [] {-} -class_OrderedGroup_Ocomm__monoid__add(A)|c_Finite__Set_Osetsum(B,C,D,A)=c_HOL_Ozero__class_Ozero(A)|c_Finite__Set_Ofinite(C,D).
% 0.19/0.50 Following clause subsumed by 415 during input processing: 0 [] {-} -hBOOL(c_in(A,B,C))| -c_Fun_Oinj__on(D,B,C,E)|hAPP(c_Hilbert__Choice_Oinv__into(B,D,C,E),hAPP(D,A))=A.
% 0.19/0.50 Following clause subsumed by 416 during input processing: 0 [] {-} -c_Fun_Oinj__on(A,B,C,D)|hAPP(c_Fun_Othe__inv__into(B,A,C,D),hAPP(A,E))=E| -hBOOL(c_in(E,B,C)).
% 0.19/0.50 Following clause subsumed by 426 during input processing: 0 [] {-} hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(A,B,tc_nat),tc_nat),c_HOL_Ominus__class_Ominus(C,B,tc_nat)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_nat),C))| -hBOOL(hAPP(c_lessequals(B,tc_nat),C))| -hBOOL(hAPP(c_lessequals(B,tc_nat),A)).
% 0.19/0.50 Following clause subsumed by 433 during input processing: 0 [] {-} hBOOL(hAPP(c_lessequals(A,tc_fun(B,tc_bool)),c_Set_Oinsert(C,D,B)))| -hBOOL(hAPP(c_lessequals(A,tc_fun(B,tc_bool)),D))|hBOOL(c_in(C,A,B)).
% 0.19/0.50 Following clause subsumed by 434 during input processing: 0 [] {-} hBOOL(hAPP(c_lessequals(A,tc_fun(B,tc_bool)),C))| -hBOOL(hAPP(c_lessequals(A,tc_fun(B,tc_bool)),c_Set_Oinsert(D,C,B)))|hBOOL(c_in(D,A,B)).
% 0.19/0.50 Following clause subsumed by 531 during input processing: 0 [] {-} hBOOL(hAPP(c_lessequals(A,tc_fun(B,tc_bool)),c_Set_Oinsert(C,D,B)))| -hBOOL(c_in(C,A,B))| -hBOOL(hAPP(c_lessequals(c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(C,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B),tc_fun(B,tc_bool)),tc_fun(B,tc_bool)),D)).
% 0.19/0.50 Following clause subsumed by 534 during input processing: 0 [] {-} hBOOL(c_in(hAPP(A,B),c_Set_Oimage(A,C,D,E),E))| -hBOOL(c_in(B,C,D)).
% 0.19/0.50 Following clause subsumed by 534 during input processing: 0 [] {-} -hBOOL(c_in(A,B,C))|hBOOL(c_in(hAPP(D,A),c_Set_Oimage(D,B,C,E),E)).
% 0.19/0.50 Following clause subsumed by 534 during input processing: 0 [] {-} -hBOOL(c_in(A,B,C))|hBOOL(c_in(hAPP(D,A),c_Set_Oimage(D,B,C,E),E)).
% 0.19/0.50 Following clause subsumed by 538 during input processing: 0 [] {-} hBOOL(c_in(A,B,C))| -hBOOL(c_in(A,D,C))| -hBOOL(hAPP(c_lessequals(D,tc_fun(C,tc_bool)),B)).
% 0.19/0.50 Following clause subsumed by 538 during input processing: 0 [] {-} hBOOL(c_in(A,B,C))| -hBOOL(hAPP(c_lessequals(D,tc_fun(C,tc_bool)),B))| -hBOOL(c_in(A,D,C)).
% 0.19/0.50 Following clause subsumed by 538 during input processing: 0 [] {-} hBOOL(c_in(A,B,C))| -hBOOL(c_in(A,D,C))| -hBOOL(hAPP(c_lessequals(D,tc_fun(C,tc_bool)),B)).
% 0.19/0.50 Following clause subsumed by 547 during input processing: 0 [] {-} hBOOL(c_in(A,c_Set_Oinsert(B,C,D),D))| -hBOOL(c_in(A,C,D)).
% 0.19/0.50 Following clause subsumed by 550 during input processing: 0 [] {-} -hBOOL(c_in(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B)).
% 0.19/0.50 Following clause subsumed by 550 during input processing: 0 [] {-} hBOOL(hAPP(A,B))| -hBOOL(c_in(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C)).
% 0.19/0.50 Following clause subsumed by 550 during input processing: 0 [] {-} -hBOOL(c_in(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B)).
% 0.19/0.50 Following clause subsumed by 553 during input processing: 0 [] {-} c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),C)| -c_Finite__Set_Ofinite(A,C)| -c_Finite__Set_Ofinite(B,C).
% 0.19/0.50 Following clause subsumed by 559 during input processing: 0 [] {-} -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ominus__class_Ominus(B,B,A)=c_HOL_Ozero__class_Ozero(A).
% 0.19/0.50 Following clause subsumed by 564 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__semidom(A)|hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(A),A),c_Nat_Osemiring__1__class_Oof__nat(B,A))).
% 0.19/0.50 Following clause subsumed by 565 during input processing: 0 [] {-} hBOOL(c_in(A,c_HOL_Ominus__class_Ominus(B,C,tc_fun(D,tc_bool)),D))|hBOOL(c_in(A,C,D))| -hBOOL(c_in(A,B,D)).
% 0.19/0.50 Following clause subsumed by 567 during input processing: 0 [] {-} hAPP(A,B)!=hAPP(A,C)| -hBOOL(c_in(C,D,E))| -hBOOL(c_in(B,D,E))| -c_Fun_Oinj__on(A,D,E,F)|B=C.
% 0.19/0.50 Following clause subsumed by 567 during input processing: 0 [] {-} hAPP(A,B)!=hAPP(A,C)| -hBOOL(c_in(C,D,E))| -hBOOL(c_in(B,D,E))| -c_Fun_Oinj__on(A,D,E,F)|B=C.
% 0.19/0.50 Following clause subsumed by 567 during input processing: 0 [] {-} hAPP(A,B)!=hAPP(A,C)| -hBOOL(c_in(C,D,E))| -hBOOL(c_in(B,D,E))|B=C| -c_Fun_Oinj__on(A,D,E,F).
% 0.34/0.52 Following clause subsumed by 440 during input processing: 0 [] {-} c_Finite__Set_Ocard(c_Set_Oimage(A,B,C,D),D)=c_Finite__Set_Ocard(B,C)| -c_Fun_Oinj__on(A,B,C,D)| -c_Finite__Set_Ofinite(B,C).
% 0.34/0.52 Following clause subsumed by 598 during input processing: 0 [] {-} hBOOL(hAPP(c_lessequals(c_Set_Oimage(A,B,C,D),tc_fun(D,tc_bool)),c_Set_Oimage(A,E,C,D)))| -hBOOL(hAPP(c_lessequals(B,tc_fun(C,tc_bool)),E)).
% 0.34/0.52 Following clause subsumed by 603 during input processing: 0 [] {-} c_Finite__Set_Ofinite(A,B)| -c_Finite__Set_Ofinite(C,B)| -hBOOL(hAPP(c_lessequals(A,tc_fun(B,tc_bool)),C)).
% 0.34/0.52 Following clause subsumed by 604 during input processing: 0 [] {-} hBOOL(hAPP(A,B))| -hBOOL(hAPP(C,B))| -hBOOL(hAPP(c_lessequals(C,tc_fun(D,tc_bool)),A)).
% 0.34/0.52 Following clause subsumed by 618 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C| -hBOOL(hAPP(c_lessequals(C,A),B))| -hBOOL(hAPP(c_lessequals(B,A),C)).
% 0.34/0.52 Following clause subsumed by 618 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C| -hBOOL(hAPP(c_lessequals(C,A),B))| -hBOOL(hAPP(c_lessequals(B,A),C)).
% 0.34/0.52 Following clause subsumed by 619 during input processing: 0 [] {-} A=B| -hBOOL(hAPP(c_lessequals(B,tc_fun(C,tc_bool)),A))| -hBOOL(hAPP(c_lessequals(A,tc_fun(C,tc_bool)),B)).
% 0.34/0.52 Following clause subsumed by 635 during input processing: 0 [] {-} hBOOL(hAPP(c_lessequals(c_HOL_Ominus__class_Ominus(A,B,tc_nat),tc_nat),c_HOL_Ominus__class_Ominus(C,B,tc_nat)))| -hBOOL(hAPP(c_lessequals(A,tc_nat),C))| -hBOOL(hAPP(c_lessequals(B,tc_nat),C))| -hBOOL(hAPP(c_lessequals(B,tc_nat),A)).
% 0.34/0.52 81 back subsumes 79.
% 0.34/0.52 137 back subsumes 136.
% 0.34/0.52 138 back subsumes 135.
% 0.34/0.52 401 back subsumes 238.
% 0.34/0.52 508 back subsumes 507.
% 0.34/0.52 519 back subsumes 505.
% 0.34/0.52 534 back subsumes 495.
% 0.34/0.52 550 back subsumes 549.
% 0.34/0.52 598 back subsumes 482.
% 0.34/0.52 Following clause subsumed by 627 during input processing: 0 [copy,611,flip.1] {-} c_Set_Oinsert(A,B,C)!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 0.34/0.52 Following clause subsumed by 611 during input processing: 0 [copy,627,flip.1] {-} c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))!=c_Set_Oinsert(B,C,A).
% 0.34/0.52 627 back subsumes 519.
% 0.34/0.52 631 back subsumes 576.
% 0.34/0.52 631 back subsumes 433.
% 0.34/0.52 646 back subsumes 304.
% 0.34/0.52 739 back subsumes 738.
% 0.34/0.52 739 back subsumes 737.
% 0.34/0.52 739 back subsumes 735.
% 0.34/0.52
% 0.34/0.52 ------------> process sos:
% 0.34/0.52 Following clause subsumed by 767 during input processing: 0 [] {-} hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_Suc(A))).
% 0.34/0.52 Following clause subsumed by 805 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(A,B),C))|hBOOL(hAPP(c_HOL_Oord__class_Oless(B,tc_nat),C))|C=B|hBOOL(hAPP(c_HOL_Oord__class_Oless(C,tc_nat),B)).
% 0.34/0.52 Following clause subsumed by 805 during input processing: 0 [] {-} hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_nat),B))|hBOOL(hAPP(c_HOL_Oord__class_Oless(B,tc_nat),A))|B=A.
% 0.34/0.52 Following clause subsumed by 786 during input processing: 0 [] {-} hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_nat),c_Suc(A))).
% 0.34/0.52 Following clause subsumed by 786 during input processing: 0 [] {-} hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_nat),c_Suc(A))).
% 0.34/0.52 Following clause subsumed by 811 during input processing: 0 [demod,809] {-} C=C.
% 0.34/0.52 Following clause subsumed by 811 during input processing: 0 [demod,807] {-} A=A.
% 0.34/0.52 Following clause subsumed by 843 during input processing: 0 [] {-} hAPP(c_Fun_Ofun__upd(A,B,C,D,E),F)=hAPP(A,F)|F=B.
% 0.34/0.52 Following clause subsumed by 881 during input processing: 0 [] {-} hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.34/0.52 Following clause subsumed by 883 during input processing: 0 [] {-} hBOOL(c_in(A,c_Set_Oinsert(A,B,C),C)).
% 0.34/0.52 Following clause subsumed by 883 during input processing: 0 [] {-} hBOOL(c_in(A,c_Set_Oinsert(A,B,C),C)).
% 0.34/0.52 Following clause subsumed by 899 during input processing: 0 [] {-} hBOOL(hAPP(c_lessequals(A,tc_fun(B,tc_bool)),A)).
% 0.34/0.52 Following clause subsumed by 900 during input processing: 0 [] {-} hBOOL(hAPP(c_lessequals(A,tc_nat),A)).
% 0.34/0.52 Following clause subsumed by 899 during input processing: 0 [] {-} hBOOL(hAPP(c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),tc_fun(A,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))).
% 0.34/0.52 Following clause subsumed by 910 during input processing: 0 [] {-} c_Set_Oinsert(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C)=c_Set_Oinsert(B,c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C).
% 0.34/0.52 Following clause subsumed by 811 during input processing: 0 [] {-} A=A.
% 0.34/0.52 Following clause subsumed by 768 during input processing: 0 [copy,768,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).
% 0.34/0.52 Following clause subsumed by 784 during input processing: 0 [copy,784,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)).
% 0.34/0.52 Following clause subsumed by 811 during input processing: 0 [copy,811,flip.1] {-} A=A.
% 0.34/0.52 811 back subsumes 762.
% 0.34/0.52 811 back subsumes 760.
% 0.34/0.52 811 back subsumes 759.
% 0.34/0.52 811 back subsumes 758.
% 0.34/0.52 811 back subsumes 752.
% 0.34/0.52 811 back subsumes 750.
% 0.34/0.52 811 back subsumes 749.
% 0.34/0.52 811 back subsumes 745.
% 0.34/0.52 811 back subsumes 733.
% 0.34/0.52 811 back subsumes 714.
% 0.34/0.52 811 back subsumes 697.
% 0.34/0.52 811 back subsumes 696.
% 0.34/0.52 811 back subsumes 671.
% 0.34/0.52 Following clause subsumed by 914 during input processing: 0 [copy,870,flip.1] {-} c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=c_Set_Oimage(c_COMBK(B,A,C),c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C,A).
% 0.34/0.52 883 back subsumes 875.
% 0.34/0.52 898 back subsumes 761.
% 0.34/0.52 899 back subsumes 744.
% 0.34/0.52 899 back subsumes 739.
% 0.34/0.52 900 back subsumes 835.
% 0.34/0.52 Following clause subsumed by 910 during input processing: 0 [copy,910,flip.1] {-} c_Set_Oinsert(A,c_Set_Oinsert(B,C,D),D)=c_Set_Oinsert(B,c_Set_Oinsert(A,C,D),D).
% 0.34/0.52 Following clause subsumed by 914 during input processing: 0 [copy,911,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).
% 0.34/0.52 911 back subsumes 870.
% 0.34/0.52 Following clause subsumed by 913 during input processing: 0 [copy,913,flip.1] {-} c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,B,tc_nat),C,tc_nat)=c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,C,tc_nat),B,tc_nat).
% 0.34/0.52 Following clause subsumed by 911 during input processing: 0 [copy,914,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)).
% 0.34/0.52 Following clause subsumed by 769 during input processing: 0 [copy,960,flip.1] {-} c_HOL_Ominus__class_Ominus(A,c_Suc(B),tc_nat)=c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,c_HOL_Oone__class_Oone(tc_nat),tc_nat),B,tc_nat).
% 0.34/0.52 Following clause subsumed by 771 during input processing: 0 [copy,961,flip.1] {-} c_Set_Ovimage(A,c_HOL_Ominus__class_Ominus(B,C,tc_fun(D,tc_bool)),E,D)=c_HOL_Ominus__class_Ominus(c_Set_Ovimage(A,B,E,D),c_Set_Ovimage(A,C,E,D),tc_fun(E,tc_bool)).
% 0.34/0.52 Following clause subsumed by 772 during input processing: 0 [copy,962,flip.1] {-} c_Set_Ovimage(A,c_Orderings_Otop__class_Otop(tc_fun(B,tc_bool)),C,B)=c_Orderings_Otop__class_Otop(tc_fun(C,tc_bool)).
% 0.34/0.52 Following clause subsumed by 788 during input processing: 0 [copy,964,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)).
% 0.34/0.52 Following clause subsumed by 820 during input processing: 0 [copy,970,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)).
% 0.34/0.52 Following clause subsumed by 851 during input processing: 0 [copy,971,flip.1] {-} c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C),B,tc_fun(A,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 0.34/0.52 Following clause subsumed by 873 during input processing: 0 [copy,972,flip.1] {-} c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))=c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,C,tc_fun(D,tc_bool)),c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D),tc_fun(D,tc_bool)).
% 0.34/0.52 Following clause subsumed by 874 during input processing: 0 [copy,973,flip.1] {-} c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))=c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D),tc_fun(D,tc_bool)),C,tc_fun(D,tc_bool)).
% 0.34/0.52 Following clause subsumed by 878 during input processing: 0 [copy,974,flip.1] {-} c_HOL_Ominus__class_Ominus(A,A,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.34/0.52 Following clause subsumed by 888 during input processing: 0 [copy,975,flip.1] {-} c_HOL_Ominus__class_Ominus(A,A,tc_fun(B,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)).
% 0.34/0.52
% 0.34/0.52 ======= end of input processing =======
% 0.65/0.89
% 0.65/0.89
% 0.65/0.89
% 0.65/0.89 Aborting on detection of an error:
% 0.65/0.89
% 0.65/0.89 Too many clauses (whew!).
% 0.65/0.89
%------------------------------------------------------------------------------