TSTP Solution File: SWV582-1 by SOS---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : SWV582-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n028.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 21:39:32 EDT 2022
% Result : Unknown 0.67s 0.92s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWV582-1 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.12 % Command : sos-script %s
% 0.12/0.33 % Computer : n028.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 : Tue Jun 14 23:50:24 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.50 ----- Otter 3.2, August 2001 -----
% 0.19/0.50 The process was started by sandbox2 on n028.cluster.edu,
% 0.19/0.50 Tue Jun 14 23:50:24 2022
% 0.19/0.50 The command was "./sos". The process ID is 31037.
% 0.19/0.50
% 0.19/0.50 set(prolog_style_variables).
% 0.19/0.50 set(auto).
% 0.19/0.50 dependent: set(auto1).
% 0.19/0.50 dependent: set(process_input).
% 0.19/0.50 dependent: clear(print_kept).
% 0.19/0.50 dependent: clear(print_new_demod).
% 0.19/0.50 dependent: clear(print_back_demod).
% 0.19/0.50 dependent: clear(print_back_sub).
% 0.19/0.50 dependent: set(control_memory).
% 0.19/0.50 dependent: assign(max_mem, 12000).
% 0.19/0.50 dependent: assign(pick_given_ratio, 4).
% 0.19/0.50 dependent: assign(stats_level, 1).
% 0.19/0.50 dependent: assign(pick_semantic_ratio, 3).
% 0.19/0.50 dependent: assign(sos_limit, 5000).
% 0.19/0.50 dependent: assign(max_weight, 60).
% 0.19/0.50 clear(print_given).
% 0.19/0.50
% 0.19/0.50 list(usable).
% 0.19/0.50
% 0.19/0.50 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=6.
% 0.19/0.50
% 0.19/0.50 This ia a non-Horn set with equality. The strategy will be
% 0.19/0.50 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.19/0.50 unit deletion, with positive clauses in sos and nonpositive
% 0.19/0.50 clauses in usable.
% 0.19/0.50
% 0.19/0.50 dependent: set(knuth_bendix).
% 0.19/0.50 dependent: set(para_from).
% 0.19/0.50 dependent: set(para_into).
% 0.19/0.50 dependent: clear(para_from_right).
% 0.19/0.50 dependent: clear(para_into_right).
% 0.19/0.50 dependent: set(para_from_vars).
% 0.19/0.50 dependent: set(eq_units_both_ways).
% 0.19/0.50 dependent: set(dynamic_demod_all).
% 0.19/0.50 dependent: set(dynamic_demod).
% 0.19/0.50 dependent: set(order_eq).
% 0.19/0.50 dependent: set(back_demod).
% 0.19/0.50 dependent: set(lrpo).
% 0.19/0.50 dependent: set(hyper_res).
% 0.19/0.50 dependent: set(unit_deletion).
% 0.19/0.50 dependent: set(factor).
% 0.19/0.50
% 0.19/0.50 ------------> process usable:
% 0.19/0.50 Following clause subsumed by 7 during input processing: 0 [flip.3] {-} -class_OrderedGroup_Oab__group__add(A)| -c_OrderedGroup_Opordered__ab__group__add(B,C,D,E,F,G,H)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Ominus__class_Ominus(A),I),J)),J)=I.
% 0.19/0.50 Following clause subsumed by 16 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__semiring__strict(A)|hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(B,A),C),A),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),C)).
% 0.19/0.50 Following clause subsumed by 19 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(A,B),hAPP(hAPP(C,D),E)))| -hBOOL(hAPP(hAPP(A,E),B))| -hBOOL(hAPP(hAPP(A,D),B))| -c_Ring__and__Field_Opordered__ring(F,B,A,G,C,H,I,J).
% 0.19/0.50 Following clause subsumed by 37 during input processing: 0 [] {-} hAPP(c_Suc,A)!=A.
% 0.19/0.50 Following clause subsumed by 49 during input processing: 0 [] {-} -class_Lattices_Oupper__semilattice(A)|hBOOL(hAPP(c_lessequals(B,A),C))| -hBOOL(hAPP(c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(B,D,A),A),C)).
% 0.19/0.50 Following clause subsumed by 50 during input processing: 0 [] {-} -class_Lattices_Oupper__semilattice(A)|hBOOL(hAPP(c_lessequals(B,A),C))| -hBOOL(hAPP(c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(D,B,A),A),C)).
% 0.19/0.50 Following clause subsumed by 83 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)).
% 0.19/0.50 Following clause subsumed by 83 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)).
% 0.19/0.50 Following clause subsumed by 84 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C| -hBOOL(hAPP(c_lessequals(C,A),B))| -hBOOL(hAPP(c_lessequals(B,A),C)).
% 0.19/0.50 Following clause subsumed by 83 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.
% 0.19/0.50 Following clause subsumed by 84 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C| -hBOOL(hAPP(c_lessequals(C,A),B))| -hBOOL(hAPP(c_lessequals(B,A),C)).
% 0.19/0.50 Following clause subsumed by 89 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)|B=c_HOL_Ozero__class_Ozero(A)|c_HOL_Oinverse__class_Odivide(hAPP(c_HOL_Otimes__class_Otimes(C,A),B),B,A)=C.
% 0.19/0.51 Following clause subsumed by 89 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(hAPP(c_HOL_Otimes__class_Otimes(B,A),C),C,A)=B|C=c_HOL_Ozero__class_Ozero(A).
% 0.19/0.51 Following clause subsumed by 89 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oinverse__class_Odivide(hAPP(c_HOL_Otimes__class_Otimes(B,A),C),C,A)=B|C=c_HOL_Ozero__class_Ozero(A).
% 0.19/0.51 Following clause subsumed by 102 during input processing: 0 [] {-} hAPP(hAPP(A,hAPP(B,C)),D)=hAPP(B,hAPP(hAPP(A,C),D))| -c_Ring__and__Field_Ofield(E,A,F,G,H,B,I,J,K).
% 0.19/0.51 Following clause subsumed by 123 during input processing: 0 [] {-} -c_Ring__and__Field_Ofield(A,B,C,D,E,F,G,H,I)|hAPP(hAPP(H,hAPP(hAPP(E,J),K)),K)=J.
% 0.19/0.51 Following clause subsumed by 124 during input processing: 0 [flip.2] {-} -c_Ring__and__Field_Ofield(A,B,C,D,E,F,G,H,I)|hAPP(hAPP(E,hAPP(hAPP(H,J),K)),K)=J.
% 0.19/0.51 Following clause subsumed by 143 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).
% 0.19/0.51 Following clause subsumed by 170 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)).
% 0.19/0.51 Following clause subsumed by 171 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)).
% 0.19/0.51 Following clause subsumed by 171 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)).
% 0.19/0.51 Following clause subsumed by 170 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)).
% 0.19/0.51 Following clause subsumed by 170 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),C))| -hBOOL(hAPP(c_lessequals(B,A),C))|B=C.
% 0.19/0.51 Following clause subsumed by 172 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|B=C|hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),C))| -hBOOL(hAPP(c_lessequals(B,A),C)).
% 0.19/0.51 Following clause subsumed by 173 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)).
% 0.19/0.51 Following clause subsumed by 177 during input processing: 0 [] {-} -class_Ring__and__Field_Opordered__ring(A)|hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(A),A),hAPP(c_HOL_Otimes__class_Otimes(B,A),C)))| -hBOOL(hAPP(c_lessequals(C,A),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_lessequals(B,A),c_HOL_Ozero__class_Ozero(A))).
% 0.19/0.51 Following clause subsumed by 184 during input processing: 0 [flip.2] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Otimes__class_Otimes(B,A),C),A),D)=hAPP(c_HOL_Otimes__class_Otimes(B,A),hAPP(c_HOL_Otimes__class_Otimes(C,A),D)).
% 0.19/0.51 Following clause subsumed by 184 during input processing: 0 [flip.2] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Otimes__class_Otimes(B,A),C),A),D)=hAPP(c_HOL_Otimes__class_Otimes(B,A),hAPP(c_HOL_Otimes__class_Otimes(C,A),D)).
% 0.19/0.51 Following clause subsumed by 202 during input processing: 0 [] {-} hAPP(A,B)!=c_Option_Ooption_ONone(C)|c_Map_Omap__comp(D,A,B,C,E,F)=c_Option_Ooption_ONone(E).
% 0.19/0.51 Following clause subsumed by 204 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Ouminus__class_Ouminus(A),B),A),C)=hAPP(c_HOL_Ouminus__class_Ouminus(A),hAPP(c_HOL_Otimes__class_Otimes(B,A),C)).
% 0.19/0.51 Following clause subsumed by 205 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|hAPP(c_HOL_Otimes__class_Otimes(B,A),hAPP(c_HOL_Ouminus__class_Ouminus(A),C))=hAPP(c_HOL_Ouminus__class_Ouminus(A),hAPP(c_HOL_Otimes__class_Otimes(B,A),C)).
% 0.19/0.51 Following clause subsumed by 232 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_Ozero__class_Ozero(A),A),c_HOL_Oinverse__class_Odivide(B,C,A)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),C))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),B)).
% 0.19/0.51 Following clause subsumed by 231 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_Ozero__class_Ozero(A),A),c_HOL_Oinverse__class_Odivide(B,C,A)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(C,A),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),c_HOL_Ozero__class_Ozero(A))).
% 0.19/0.51 Following clause subsumed by 238 during input processing: 0 [] {-} -class_OrderedGroup_Oab__group__add(A)| -class_Ring__and__Field_Ofield(B)|hAPP(hAPP(C,c_HOL_Ozero__class_Ozero(B)),D)=c_HOL_Ozero__class_Ozero(A)| -c_RealVector_Ovector__space(C,B,A).
% 0.19/0.51 Following clause subsumed by 239 during input processing: 0 [] {-} -class_OrderedGroup_Oab__group__add(A)| -class_Ring__and__Field_Ofield(B)|hAPP(hAPP(C,D),c_HOL_Ozero__class_Ozero(A))=c_HOL_Ozero__class_Ozero(A)| -c_RealVector_Ovector__space(C,B,A).
% 0.19/0.51 Following clause subsumed by 248 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(A,hAPP(B,C)),D))| -hBOOL(hAPP(hAPP(A,hAPP(B,D)),C))| -c_OrderedGroup_Opordered__ab__group__add(E,B,F,G,H,A,I).
% 0.19/0.51 Following clause subsumed by 249 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(A,B),hAPP(C,D)))| -hBOOL(hAPP(hAPP(A,D),hAPP(C,B)))| -c_OrderedGroup_Opordered__ab__group__add(E,C,F,G,H,A,I).
% 0.19/0.51 Following clause subsumed by 252 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(A,hAPP(B,C)),D))| -hBOOL(hAPP(hAPP(A,hAPP(B,D)),C))| -c_OrderedGroup_Opordered__ab__group__add(E,B,F,G,A,H,I).
% 0.19/0.51 Following clause subsumed by 255 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(A,B),hAPP(C,D)))| -hBOOL(hAPP(hAPP(A,D),hAPP(C,B)))| -c_OrderedGroup_Opordered__ab__group__add(E,C,F,G,A,H,I).
% 0.19/0.51 Following clause subsumed by 263 during input processing: 0 [flip.3] {-} -class_OrderedGroup_Oab__group__add(A)| -c_OrderedGroup_Opordered__ab__group__add(B,C,D,E,F,G,H)|hAPP(hAPP(c_HOL_Ominus__class_Ominus(A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),I),J)),J)=I.
% 0.19/0.51 Following clause subsumed by 273 during input processing: 0 [] {-} -class_Ring__and__Field_Ono__zero__divisors(A)|hAPP(c_HOL_Otimes__class_Otimes(B,A),C)!=c_HOL_Ozero__class_Ozero(A)|B=c_HOL_Ozero__class_Ozero(A)|C=c_HOL_Ozero__class_Ozero(A).
% 0.19/0.51 Following clause subsumed by 281 during input processing: 0 [] {-} -c_Ring__and__Field_Oring(A,B,C,D,E,F)|hAPP(hAPP(A,hAPP(hAPP(D,G),H)),H)=G.
% 0.19/0.51 Following clause subsumed by 282 during input processing: 0 [flip.2] {-} -c_Ring__and__Field_Oring(A,B,C,D,E,F)|hAPP(hAPP(D,hAPP(hAPP(A,G),H)),H)=G.
% 0.19/0.51 Following clause subsumed by 299 during input processing: 0 [flip.2] {-} -c_Ring__and__Field_Oring(A,B,C,D,E,F)|hAPP(hAPP(D,hAPP(hAPP(E,J),H)),hAPP(hAPP(D,hAPP(hAPP(E,hAPP(hAPP(A,G),J)),H)),I))=hAPP(hAPP(D,hAPP(hAPP(E,G),H)),I).
% 0.19/0.51 Following clause subsumed by 307 during input processing: 0 [] {-} -class_OrderedGroup_Ogroup__add(A)|hAPP(hAPP(c_HOL_Ominus__class_Ominus(A),B),B)=c_HOL_Ozero__class_Ozero(A).
% 0.19/0.51 Following clause subsumed by 315 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hBOOL(hAPP(c_lessequals(B,A),c_HOL_Oinverse__class_Odivide(C,D,A)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),D))| -hBOOL(hAPP(c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(B,A),D),A),C)).
% 0.19/0.51 Following clause subsumed by 316 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hBOOL(hAPP(c_lessequals(c_HOL_Oinverse__class_Odivide(B,C,A),A),D))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),C))| -hBOOL(hAPP(c_lessequals(B,A),hAPP(c_HOL_Otimes__class_Otimes(D,A),C))).
% 0.19/0.51 Following clause subsumed by 326 during input processing: 0 [flip.3] {-} -class_OrderedGroup_Oab__group__add(A)| -c_Ring__and__Field_Oring(B,C,D,E,F,G)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Ominus__class_Ominus(A),H),I)),I)=H.
% 0.19/0.51 Following clause subsumed by 327 during input processing: 0 [] {-} hBOOL(hAPP(c_lessequals(hAPP(c_Suc,A),tc_nat),B))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_nat),B)).
% 0.19/0.51 Following clause subsumed by 328 during input processing: 0 [] {-} hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_nat),B))| -hBOOL(hAPP(c_lessequals(hAPP(c_Suc,A),tc_nat),B)).
% 0.19/0.51 Following clause subsumed by 245 during input processing: 0 [flip.2] {-} -class_OrderedGroup_Oab__group__add(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),hAPP(c_HOL_Ouminus__class_Ouminus(A),C))=hAPP(hAPP(c_HOL_Ominus__class_Ominus(A),B),C).
% 0.19/0.51 Following clause subsumed by 341 during input processing: 0 [] {-} -class_OrderedGroup_Ogroup__add(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),hAPP(c_HOL_Ouminus__class_Ouminus(A),C))=hAPP(hAPP(c_HOL_Ominus__class_Ominus(A),B),C)| -c_Ring__and__Field_Ofield(D,E,F,G,H,I,J,K,L).
% 0.19/0.51 Following clause subsumed by 370 during input processing: 0 [] {-} -class_Ring__and__Field_Opordered__cancel__semiring(A)|hBOOL(hAPP(c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(B,A),C),A),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_lessequals(C,A),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(A),A),B)).
% 0.19/0.51 Following clause subsumed by 371 during input processing: 0 [] {-} -class_Ring__and__Field_Opordered__cancel__semiring(A)|hBOOL(hAPP(c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(B,A),C),A),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(A),A),C))| -hBOOL(hAPP(c_lessequals(B,A),c_HOL_Ozero__class_Ozero(A))).
% 0.19/0.51 Following clause subsumed by 371 during input processing: 0 [] {-} -class_Ring__and__Field_Opordered__cancel__semiring(A)|hBOOL(hAPP(c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(B,A),C),A),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_lessequals(B,A),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(A),A),C)).
% 0.19/0.51 Following clause subsumed by 375 during input processing: 0 [] {-} -class_OrderedGroup_Oab__group__add(A)| -c_Ring__and__Field_Opordered__ring(B,C,D,E,F,G,H,I)|hAPP(hAPP(c_HOL_Ominus__class_Ominus(A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),J),K)),K)=J.
% 0.19/0.51 Following clause subsumed by 378 during input processing: 0 [] {-} -class_Lattices_Oupper__semilattice(A)|hBOOL(hAPP(c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(B,C,A),A),D))| -hBOOL(hAPP(c_lessequals(C,A),D))| -hBOOL(hAPP(c_lessequals(B,A),D)).
% 0.19/0.51 Following clause subsumed by 378 during input processing: 0 [] {-} -class_Lattices_Oupper__semilattice(A)|hBOOL(hAPP(c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(B,C,A),A),D))| -hBOOL(hAPP(c_lessequals(C,A),D))| -hBOOL(hAPP(c_lessequals(B,A),D)).
% 0.19/0.51 Following clause subsumed by 389 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_RealVector_OscaleR__class_OscaleR(B,A),C),A),D)=hAPP(c_RealVector_OscaleR__class_OscaleR(B,A),hAPP(c_HOL_Otimes__class_Otimes(C,A),D)).
% 0.19/0.51 Following clause subsumed by 390 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|hAPP(c_HOL_Otimes__class_Otimes(B,A),hAPP(c_RealVector_OscaleR__class_OscaleR(C,A),D))=hAPP(c_RealVector_OscaleR__class_OscaleR(C,A),hAPP(c_HOL_Otimes__class_Otimes(B,A),D)).
% 0.19/0.51 Following clause subsumed by 398 during input processing: 0 [] {-} -hBOOL(hAPP(c_lessequals(A,tc_nat),A))|hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_nat),hAPP(c_Suc,A))).
% 0.19/0.51 Following clause subsumed by 334 during input processing: 0 [flip.2] {-} -class_Ring__and__Field_Oring(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(c_HOL_Otimes__class_Otimes(E,A),C)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(c_HOL_Otimes__class_Otimes(hAPP(hAPP(c_HOL_Ominus__class_Ominus(A),B),E),A),C)),D))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(c_HOL_Otimes__class_Otimes(B,A),C)),D).
% 0.19/0.52 Following clause subsumed by 420 during input processing: 0 [flip.3] {-} -class_OrderedGroup_Oab__group__add(A)| -c_Ring__and__Field_Opordered__ring(B,C,D,E,F,G,H,I)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Ominus__class_Ominus(A),J),K)),K)=J.
% 0.19/0.52 Following clause subsumed by 427 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__vector(A)|hAPP(c_RealVector_OscaleR__class_OscaleR(B,A),hAPP(c_RealVector_OscaleR__class_OscaleR(C,A),D))=hAPP(c_RealVector_OscaleR__class_OscaleR(C,A),hAPP(c_RealVector_OscaleR__class_OscaleR(B,A),D)).
% 0.19/0.52 Following clause subsumed by 448 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(c_HOL_Otimes__class_Otimes(B,A),C)=hAPP(c_HOL_Otimes__class_Otimes(C,A),B).
% 0.19/0.52 Following clause subsumed by 454 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)).
% 0.19/0.52 Following clause subsumed by 454 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)).
% 0.19/0.52 Following clause subsumed by 454 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)).
% 0.19/0.52 Following clause subsumed by 456 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)).
% 0.19/0.52 Following clause subsumed by 464 during input processing: 0 [] {-} -class_OrderedGroup_Oab__group__add(A)| -c_Ring__and__Field_Ofield(B,C,D,E,F,G,H,I,J)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Ominus__class_Ominus(A),K),L)),L)=K.
% 0.19/0.52 Following clause subsumed by 474 during input processing: 0 [] {-} -class_OrderedGroup_Oab__group__add(A)| -class_Ring__and__Field_Ofield(B)|hAPP(hAPP(C,D),E)!=hAPP(hAPP(C,F),E)| -c_RealVector_Ovector__space(C,B,A)|E=c_HOL_Ozero__class_Ozero(A)|D=F.
% 0.19/0.52 Following clause subsumed by 475 during input processing: 0 [] {-} -class_OrderedGroup_Oab__group__add(A)| -class_Ring__and__Field_Ofield(B)|hAPP(hAPP(C,D),E)!=hAPP(hAPP(C,D),F)| -c_RealVector_Ovector__space(C,B,A)|D=c_HOL_Ozero__class_Ozero(B)|E=F.
% 0.19/0.52 Following clause subsumed by 489 during input processing: 0 [] {-} -class_OrderedGroup_Ogroup__add(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(c_HOL_Ouminus__class_Ouminus(A),B)),B)=c_HOL_Ozero__class_Ozero(A).
% 0.19/0.52 Following clause subsumed by 502 during input processing: 0 [flip.2] {-} -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_HOL_Ominus__class_Ominus(A),hAPP(c_HOL_Otimes__class_Otimes(B,A),C)),hAPP(c_HOL_Otimes__class_Otimes(B,A),D))=hAPP(c_HOL_Otimes__class_Otimes(B,A),hAPP(hAPP(c_HOL_Ominus__class_Ominus(A),C),D)).
% 0.19/0.52 Following clause subsumed by 503 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|hAPP(c_HOL_Otimes__class_Otimes(hAPP(hAPP(c_HOL_Ominus__class_Ominus(A),B),C),A),D)=hAPP(hAPP(c_HOL_Ominus__class_Ominus(A),hAPP(c_HOL_Otimes__class_Otimes(B,A),D)),hAPP(c_HOL_Otimes__class_Otimes(C,A),D)).
% 0.19/0.52 Following clause subsumed by 505 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).
% 0.19/0.52 Following clause subsumed by 519 during input processing: 0 [] {-} -c_OrderedGroup_Opordered__ab__group__add(A,B,C,D,E,F,G)|hAPP(hAPP(D,hAPP(hAPP(A,H),I)),I)=H.
% 0.19/0.52 Following clause subsumed by 520 during input processing: 0 [flip.2] {-} -c_OrderedGroup_Opordered__ab__group__add(A,B,C,D,E,F,G)|hAPP(hAPP(A,hAPP(hAPP(D,H),I)),I)=H.
% 0.19/0.52 Following clause subsumed by 531 during input processing: 0 [] {-} -c_Ring__and__Field_Opordered__ring(A,B,C,D,E,F,G,H)|hAPP(hAPP(F,hAPP(hAPP(A,I),J)),J)=I.
% 0.19/0.52 Following clause subsumed by 532 during input processing: 0 [flip.2] {-} -c_Ring__and__Field_Opordered__ring(A,B,C,D,E,F,G,H)|hAPP(hAPP(A,hAPP(hAPP(F,I),J)),J)=I.
% 0.19/0.52 Following clause subsumed by 564 during input processing: 0 [] {-} hAPP(c_Suc,A)!=hAPP(c_Suc,B)|A=B.
% 0.19/0.52 Following clause subsumed by 575 during input processing: 0 [] {-} A=B|hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_nat),B))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_nat),hAPP(c_Suc,B))).
% 0.19/0.52 Following clause subsumed by 580 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hAPP(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(B,C,A),A),C)=B|C=c_HOL_Ozero__class_Ozero(A).
% 0.19/0.52 Following clause subsumed by 583 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|hAPP(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(A),A),B)=c_HOL_Ozero__class_Ozero(A).
% 0.19/0.52 Following clause subsumed by 584 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|hAPP(c_HOL_Otimes__class_Otimes(B,A),c_HOL_Ozero__class_Ozero(A))=c_HOL_Ozero__class_Ozero(A).
% 0.19/0.52 Following clause subsumed by 581 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(A),A),B)=c_HOL_Ozero__class_Ozero(A).
% 0.19/0.52 Following clause subsumed by 591 during input processing: 0 [] {-} -hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_nat),A)).
% 0.19/0.52 Following clause subsumed by 341 during input processing: 0 [] {-} -class_OrderedGroup_Ogroup__add(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),hAPP(c_HOL_Ouminus__class_Ouminus(A),C))=hAPP(hAPP(c_HOL_Ominus__class_Ominus(A),B),C)| -c_OrderedGroup_Opordered__ab__group__add(D,E,F,G,H,I,J).
% 0.19/0.52 Following clause subsumed by 605 during input processing: 0 [] {-} hBOOL(hAPP(c_lessequals(A,tc_nat),B))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_nat),B)).
% 0.19/0.52 Following clause subsumed by 338 during input processing: 0 [flip.2] {-} -class_Divides_Osemiring__div(A)|c_Divides_Odiv__class_Omod(hAPP(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(B,D,A),A),C),D,A)=c_Divides_Odiv__class_Omod(hAPP(c_HOL_Otimes__class_Otimes(B,A),C),D,A).
% 0.19/0.52 Following clause subsumed by 620 during input processing: 0 [] {-} -class_OrderedGroup_Oab__group__add(A)| -c_Ring__and__Field_Oring(B,C,D,E,F,G)|hAPP(hAPP(c_HOL_Ominus__class_Ominus(A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),H),I)),I)=H.
% 0.19/0.52 Following clause subsumed by 634 during input processing: 0 [flip.3] {-} -class_OrderedGroup_Oab__group__add(A)| -c_Ring__and__Field_Ofield(B,C,D,E,F,G,H,I,J)|hAPP(hAPP(c_HOL_Ominus__class_Ominus(A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),K),L)),L)=K.
% 0.19/0.52 Following clause subsumed by 644 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__ring__strict(A)|hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(B,A),C),A),hAPP(c_HOL_Otimes__class_Otimes(D,A),C)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(C,A),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(D,A),B)).
% 0.19/0.52 Following clause subsumed by 647 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__ring__strict(A)|hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(B,A),C),A),hAPP(c_HOL_Otimes__class_Otimes(B,A),D)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(D,A),C)).
% 0.19/0.52 Following clause subsumed by 648 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__ring__strict(A)|hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(B,A),C),A),hAPP(c_HOL_Otimes__class_Otimes(B,A),D)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(C,A),D))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),B)).
% 0.19/0.52 Following clause subsumed by 647 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__ring__strict(A)|hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(B,A),C),A),hAPP(c_HOL_Otimes__class_Otimes(B,A),D)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(D,A),C))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),c_HOL_Ozero__class_Ozero(A))).
% 0.19/0.52 Following clause subsumed by 663 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.
% 0.19/0.52 Following clause subsumed by 663 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.
% 0.35/0.52 Following clause subsumed by 663 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.
% 0.35/0.52 Following clause subsumed by 341 during input processing: 0 [] {-} -class_OrderedGroup_Ogroup__add(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),hAPP(c_HOL_Ouminus__class_Ouminus(A),C))=hAPP(hAPP(c_HOL_Ominus__class_Ominus(A),B),C)| -c_Ring__and__Field_Opordered__ring(D,E,F,G,H,I,J,K).
% 0.35/0.52 Following clause subsumed by 672 during input processing: 0 [] {-} hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(c_Suc,A),tc_nat),hAPP(c_Suc,B)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_nat),B)).
% 0.35/0.52 Following clause subsumed by 674 during input processing: 0 [] {-} -class_OrderedGroup_Opordered__ab__group__add(A)|hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(A),B),A),C))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(A),C),A),B)).
% 0.35/0.52 Following clause subsumed by 675 during input processing: 0 [] {-} -class_OrderedGroup_Opordered__ab__group__add(A)|hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),hAPP(c_HOL_Ouminus__class_Ouminus(A),C)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(C,A),hAPP(c_HOL_Ouminus__class_Ouminus(A),B))).
% 0.35/0.52 Following clause subsumed by 676 during input processing: 0 [] {-} -class_OrderedGroup_Opordered__ab__group__add(A)|hBOOL(hAPP(c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(A),B),A),C))| -hBOOL(hAPP(c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(A),C),A),B)).
% 0.35/0.52 Following clause subsumed by 677 during input processing: 0 [] {-} -class_OrderedGroup_Opordered__ab__group__add(A)|hBOOL(hAPP(c_lessequals(B,A),hAPP(c_HOL_Ouminus__class_Ouminus(A),C)))| -hBOOL(hAPP(c_lessequals(C,A),hAPP(c_HOL_Ouminus__class_Ouminus(A),B))).
% 0.35/0.52 Following clause subsumed by 692 during input processing: 0 [] {-} -class_Ring__and__Field_Oidom(A)| -class_Int_Onumber__ring(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(c_HOL_Otimes__class_Otimes(B,A),C)),hAPP(c_HOL_Otimes__class_Otimes(D,A),E))!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(c_HOL_Otimes__class_Otimes(B,A),E)),hAPP(c_HOL_Otimes__class_Otimes(D,A),C))|C=E|B=D.
% 0.35/0.52 Following clause subsumed by 703 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|hAPP(c_HOL_Otimes__class_Otimes(hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C),A),D)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(c_HOL_Otimes__class_Otimes(B,A),D)),hAPP(c_HOL_Otimes__class_Otimes(C,A),D)).
% 0.35/0.52 Following clause subsumed by 711 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).
% 0.35/0.52 Following clause subsumed by 737 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)).
% 0.35/0.52 Following clause subsumed by 736 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))).
% 0.35/0.52 Following clause subsumed by 749 during input processing: 0 [flip.3] {-} A=B| -c_Ring__and__Field_Ofield(C,D,E,F,G,H,B,I,J)|hAPP(hAPP(D,hAPP(hAPP(F,K),A)),A)=K.
% 0.35/0.52 Following clause subsumed by 748 during input processing: 0 [] {-} A=B| -c_Ring__and__Field_Ofield(C,D,E,F,G,H,B,I,J)|hAPP(hAPP(D,A),A)=E.
% 0.35/0.52 Following clause subsumed by 759 during input processing: 0 [] {-} A=B| -c_Ring__and__Field_Ofield(C,D,E,F,G,H,B,I,J)|hAPP(hAPP(F,hAPP(hAPP(D,K),A)),A)=K.
% 0.35/0.52 Following clause subsumed by 103 during input processing: 0 [] {-} hAPP(A,B)=hAPP(hAPP(C,D),B)|B=E| -c_Ring__and__Field_Ofield(A,C,D,F,G,H,E,I,J).
% 0.37/0.55 Following clause subsumed by 749 during input processing: 0 [] {-} hAPP(hAPP(A,hAPP(hAPP(B,C),D)),D)=C|D=E| -c_Ring__and__Field_Ofield(F,A,G,B,H,I,E,J,K).
% 0.37/0.55 Following clause subsumed by 505 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).
% 0.37/0.55 Following clause subsumed by 570 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oinverse__class_Odivide(hAPP(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(A),A),B),B,A)=c_HOL_Ozero__class_Ozero(A).
% 0.37/0.55 Following clause subsumed by 792 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)).
% 0.37/0.55 Following clause subsumed by 797 during input processing: 0 [flip.2] {-} -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(c_HOL_Otimes__class_Otimes(B,A),C)),hAPP(c_HOL_Otimes__class_Otimes(B,A),D))=hAPP(c_HOL_Otimes__class_Otimes(B,A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),C),D)).
% 0.37/0.55 Following clause subsumed by 823 during input processing: 0 [] {-} -class_Ring__and__Field_Oidom(A)| -class_Int_Onumber__ring(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(c_HOL_Otimes__class_Otimes(B,A),C)),hAPP(c_HOL_Otimes__class_Otimes(B,A),D))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(c_HOL_Otimes__class_Otimes(B,A),D)),hAPP(c_HOL_Otimes__class_Otimes(B,A),C)).
% 0.37/0.55 Following clause subsumed by 800 during input processing: 0 [flip.2] {-} -class_Divides_Osemiring__div(A)|c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),c_Divides_Odiv__class_Omod(C,D,A)),D,A)=c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C),D,A).
% 0.37/0.55 Following clause subsumed by 799 during input processing: 0 [flip.2] {-} -class_Divides_Osemiring__div(A)|c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),c_Divides_Odiv__class_Omod(B,D,A)),C),D,A)=c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C),D,A).
% 0.37/0.55 Following clause subsumed by 848 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.
% 0.37/0.55 Following clause subsumed by 883 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).
% 0.37/0.55 Following clause subsumed by 893 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)).
% 0.37/0.55 Following clause subsumed by 893 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C)),D)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),C),D)).
% 0.37/0.55 Following clause subsumed by 881 during input processing: 0 [] {-} -class_OrderedGroup_Ocomm__monoid__add(t_a)|hAPP(v_h,A)=hAPP(v_f,A)| -hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_nat),v_n))| -hBOOL(hAPP(c_lessequals(v_k,tc_nat),A)).
% 0.37/0.55 Following clause subsumed by 879 during input processing: 0 [] {-} -class_OrderedGroup_Ocomm__monoid__add(t_a)|hAPP(v_g,A)=hAPP(v_f,A)| -hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_nat),v_k))| -hBOOL(hAPP(c_lessequals(v_m,tc_nat),A)).
% 0.37/0.55 42 back subsumes 39.
% 0.37/0.55 43 back subsumes 41.
% 0.37/0.55 184 back subsumes 138.
% 0.37/0.55 185 back subsumes 137.
% 0.37/0.55 341 back subsumes 221.
% 0.37/0.55 456 back subsumes 455.
% 0.37/0.55 504 back subsumes 350.
% 0.37/0.55 959 back subsumes 958.
% 0.37/0.55
% 0.37/0.55 ------------> process sos:
% 0.37/0.55 Following clause subsumed by 1122 during input processing: 0 [] {-} hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_nat),hAPP(c_Suc,A))).
% 0.37/0.55 Following clause subsumed by 1127 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)).
% 0.37/0.55 Following clause subsumed by 1127 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.
% 0.37/0.55 Following clause subsumed by 1122 during input processing: 0 [unit_del,591] {-} hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_nat),hAPP(c_Suc,A))).
% 0.37/0.55 Following clause subsumed by 1146 during input processing: 0 [demod,1120] {-} hAPP(B,hAPP(A,v_x))=hAPP(B,hAPP(A,v_x)).
% 0.37/0.55 Following clause subsumed by 1146 during input processing: 0 [demod,1144] {-} hAPP(A,hAPP(B,v_x))=hAPP(A,hAPP(B,v_x)).
% 0.37/0.55 Following clause subsumed by 1151 during input processing: 0 [] {-} hBOOL(hAPP(c_lessequals(A,tc_nat),A)).
% 0.37/0.55 Following clause subsumed by 1146 during input processing: 0 [demod,1120] {-} hAPP(v_g,hAPP(v_f,v_x))=hAPP(v_g,hAPP(v_f,v_x)).
% 0.37/0.55 Following clause subsumed by 1146 during input processing: 0 [demod,1144] {-} hAPP(v_f,hAPP(v_g,v_x))=hAPP(v_f,hAPP(v_g,v_x)).
% 0.37/0.55 Following clause subsumed by 1159 during input processing: 0 [] {-} hBOOL(hAPP(c_lessequals(v_k,tc_nat),v_n)).
% 0.37/0.55 Following clause subsumed by 1160 during input processing: 0 [] {-} hBOOL(hAPP(c_lessequals(v_m,tc_nat),v_k)).
% 0.37/0.55 Following clause subsumed by 1257 during input processing: 0 [copy,1146,flip.1] {-} hAPP(A,hAPP(B,C))=hAPP(A,hAPP(B,C)).
% 0.37/0.55 1151 back subsumes 1147.
% 0.37/0.55 Following clause subsumed by 1257 during input processing: 0 [copy,1257,flip.1] {-} A=A.
% 0.37/0.55 1257 back subsumes 1146.
% 0.37/0.55 1257 back subsumes 1082.
% 0.37/0.55 1257 back subsumes 934.
% 0.37/0.55 1257 back subsumes 933.
% 0.37/0.55 1257 back subsumes 932.
% 0.37/0.55 1257 back subsumes 931.
% 0.37/0.55 Following clause subsumed by 1139 during input processing: 0 [copy,1259,flip.1] {-} hAPP(c_COMBS(A,B,C,D,E),F)=hAPP(hAPP(A,F),hAPP(B,F)).
% 0.37/0.55 Following clause subsumed by 1140 during input processing: 0 [copy,1260,flip.1] {-} c_SetInterval_Oord__class_OatLeastLessThan(hAPP(c_Suc,A),B,tc_nat)=c_SetInterval_Oord__class_OgreaterThanLessThan(A,B,tc_nat).
% 0.37/0.55
% 0.37/0.55 ======= end of input processing =======
% 0.67/0.92
% 0.67/0.92
% 0.67/0.92
% 0.67/0.92 Aborting on detection of an error:
% 0.67/0.92
% 0.67/0.92 Too many clauses (whew!).
% 0.67/0.92
%------------------------------------------------------------------------------