TSTP Solution File: SWV581-1 by SOS---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : SWV581-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n007.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 0.75s 0.97s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWV581-1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.12 % Command : sos-script %s
% 0.12/0.33 % Computer : n007.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 : Wed Jun 15 07:10:10 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.18/0.51 ----- Otter 3.2, August 2001 -----
% 0.18/0.51 The process was started by sandbox2 on n007.cluster.edu,
% 0.18/0.51 Wed Jun 15 07:10:10 2022
% 0.18/0.51 The command was "./sos". The process ID is 26154.
% 0.18/0.51
% 0.18/0.51 set(prolog_style_variables).
% 0.18/0.51 set(auto).
% 0.18/0.51 dependent: set(auto1).
% 0.18/0.51 dependent: set(process_input).
% 0.18/0.51 dependent: clear(print_kept).
% 0.18/0.51 dependent: clear(print_new_demod).
% 0.18/0.51 dependent: clear(print_back_demod).
% 0.18/0.51 dependent: clear(print_back_sub).
% 0.18/0.51 dependent: set(control_memory).
% 0.18/0.51 dependent: assign(max_mem, 12000).
% 0.18/0.51 dependent: assign(pick_given_ratio, 4).
% 0.18/0.51 dependent: assign(stats_level, 1).
% 0.18/0.51 dependent: assign(pick_semantic_ratio, 3).
% 0.18/0.51 dependent: assign(sos_limit, 5000).
% 0.18/0.51 dependent: assign(max_weight, 60).
% 0.18/0.51 clear(print_given).
% 0.18/0.51
% 0.18/0.51 list(usable).
% 0.18/0.51
% 0.18/0.51 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=6.
% 0.18/0.51
% 0.18/0.51 This ia a non-Horn set with equality. The strategy will be
% 0.18/0.51 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.18/0.51 unit deletion, with positive clauses in sos and nonpositive
% 0.18/0.51 clauses in usable.
% 0.18/0.51
% 0.18/0.51 dependent: set(knuth_bendix).
% 0.18/0.51 dependent: set(para_from).
% 0.18/0.51 dependent: set(para_into).
% 0.18/0.51 dependent: clear(para_from_right).
% 0.18/0.51 dependent: clear(para_into_right).
% 0.18/0.51 dependent: set(para_from_vars).
% 0.18/0.51 dependent: set(eq_units_both_ways).
% 0.18/0.51 dependent: set(dynamic_demod_all).
% 0.18/0.51 dependent: set(dynamic_demod).
% 0.18/0.51 dependent: set(order_eq).
% 0.18/0.51 dependent: set(back_demod).
% 0.18/0.51 dependent: set(lrpo).
% 0.18/0.51 dependent: set(hyper_res).
% 0.18/0.51 dependent: set(unit_deletion).
% 0.18/0.51 dependent: set(factor).
% 0.18/0.51
% 0.18/0.51 ------------> process usable:
% 0.18/0.51 Following clause subsumed by 3 during input processing: 0 [] {-} -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.
% 0.18/0.51 Following clause subsumed by 24 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)).
% 0.18/0.51 Following clause subsumed by 24 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)).
% 0.18/0.51 Following clause subsumed by 25 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C| -hBOOL(hAPP(c_lessequals(C,A),B))| -hBOOL(hAPP(c_lessequals(B,A),C)).
% 0.18/0.51 Following clause subsumed by 24 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.
% 0.18/0.51 Following clause subsumed by 25 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C| -hBOOL(hAPP(c_lessequals(C,A),B))| -hBOOL(hAPP(c_lessequals(B,A),C)).
% 0.18/0.51 Following clause subsumed by 30 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.
% 0.18/0.51 Following clause subsumed by 30 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).
% 0.18/0.51 Following clause subsumed by 30 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).
% 0.18/0.51 Following clause subsumed by 49 during input processing: 0 [] {-} -class_Lattices_Olower__semilattice(A)|hBOOL(hAPP(c_lessequals(B,A),c_Lattices_Olower__semilattice__class_Oinf(C,D,A)))| -hBOOL(hAPP(c_lessequals(B,A),D))| -hBOOL(hAPP(c_lessequals(B,A),C)).
% 0.18/0.51 Following clause subsumed by 49 during input processing: 0 [] {-} -class_Lattices_Olower__semilattice(A)|hBOOL(hAPP(c_lessequals(B,A),c_Lattices_Olower__semilattice__class_Oinf(C,D,A)))| -hBOOL(hAPP(c_lessequals(B,A),D))| -hBOOL(hAPP(c_lessequals(B,A),C)).
% 0.18/0.52 Following clause subsumed by 54 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)).
% 0.18/0.52 Following clause subsumed by 57 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).
% 0.18/0.52 Following clause subsumed by 77 during input processing: 0 [] {-} hAPP(c_Suc,A)!=A.
% 0.18/0.52 Following clause subsumed by 89 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)).
% 0.18/0.52 Following clause subsumed by 90 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)).
% 0.18/0.52 Following clause subsumed by 121 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)).
% 0.18/0.52 Following clause subsumed by 122 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)).
% 0.18/0.52 Following clause subsumed by 122 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)).
% 0.18/0.52 Following clause subsumed by 121 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)).
% 0.18/0.52 Following clause subsumed by 121 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.
% 0.18/0.52 Following clause subsumed by 123 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)).
% 0.18/0.52 Following clause subsumed by 124 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)).
% 0.18/0.52 Following clause subsumed by 132 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).
% 0.18/0.52 Following clause subsumed by 153 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.
% 0.18/0.52 Following clause subsumed by 154 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.
% 0.18/0.52 Following clause subsumed by 176 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).
% 0.18/0.52 Following clause subsumed by 199 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).
% 0.18/0.52 Following clause subsumed by 200 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).
% 0.18/0.52 Following clause subsumed by 203 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).
% 0.18/0.52 Following clause subsumed by 206 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).
% 0.18/0.52 Following clause subsumed by 219 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.
% 0.18/0.52 Following clause subsumed by 128 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))).
% 0.18/0.52 Following clause subsumed by 230 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)).
% 0.18/0.52 Following clause subsumed by 230 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)).
% 0.18/0.52 Following clause subsumed by 251 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)).
% 0.18/0.52 Following clause subsumed by 252 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)).
% 0.18/0.52 Following clause subsumed by 281 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)).
% 0.18/0.52 Following clause subsumed by 280 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))).
% 0.18/0.52 Following clause subsumed by 287 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).
% 0.18/0.52 Following clause subsumed by 288 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).
% 0.18/0.52 Following clause subsumed by 294 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).
% 0.18/0.52 Following clause subsumed by 300 during input processing: 0 [] {-} -class_Lattices_Olower__semilattice(A)|hBOOL(hAPP(c_lessequals(B,A),C))| -hBOOL(hAPP(c_lessequals(B,A),c_Lattices_Olower__semilattice__class_Oinf(C,D,A))).
% 0.18/0.52 Following clause subsumed by 301 during input processing: 0 [] {-} -class_Lattices_Olower__semilattice(A)|hBOOL(hAPP(c_lessequals(B,A),C))| -hBOOL(hAPP(c_lessequals(B,A),c_Lattices_Olower__semilattice__class_Oinf(D,C,A))).
% 0.18/0.52 Following clause subsumed by 298 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).
% 0.18/0.52 Following clause subsumed by 320 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).
% 0.18/0.52 Following clause subsumed by 328 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.
% 0.18/0.52 Following clause subsumed by 329 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.
% 0.18/0.52 Following clause subsumed by 346 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).
% 0.18/0.52 Following clause subsumed by 354 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).
% 0.18/0.52 Following clause subsumed by 362 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)).
% 0.18/0.52 Following clause subsumed by 363 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))).
% 0.18/0.52 Following clause subsumed by 375 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.
% 0.18/0.52 Following clause subsumed by 378 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)).
% 0.18/0.52 Following clause subsumed by 379 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)).
% 0.18/0.52 Following clause subsumed by 429 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)).
% 0.18/0.52 Following clause subsumed by 430 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))).
% 0.18/0.52 Following clause subsumed by 430 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)).
% 0.18/0.52 Following clause subsumed by 434 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.
% 0.18/0.52 Following clause subsumed by 438 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)).
% 0.18/0.52 Following clause subsumed by 438 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)).
% 0.18/0.52 Following clause subsumed by 449 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)).
% 0.18/0.52 Following clause subsumed by 450 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)).
% 0.18/0.52 Following clause subsumed by 458 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))).
% 0.18/0.52 Following clause subsumed by 386 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).
% 0.18/0.52 Following clause subsumed by 485 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.
% 0.18/0.52 Following clause subsumed by 492 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)).
% 0.18/0.52 Following clause subsumed by 506 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.
% 0.18/0.52 Following clause subsumed by 412 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).
% 0.18/0.52 Following clause subsumed by 513 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)).
% 0.18/0.52 Following clause subsumed by 513 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)).
% 0.18/0.52 Following clause subsumed by 513 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)).
% 0.18/0.52 Following clause subsumed by 515 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)).
% 0.18/0.52 Following clause subsumed by 522 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.
% 0.18/0.52 Following clause subsumed by 533 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.
% 0.18/0.52 Following clause subsumed by 534 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.
% 0.18/0.52 Following clause subsumed by 553 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).
% 0.18/0.52 Following clause subsumed by 566 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)).
% 0.18/0.52 Following clause subsumed by 567 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)).
% 0.18/0.52 Following clause subsumed by 569 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).
% 0.18/0.53 Following clause subsumed by 583 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.
% 0.18/0.53 Following clause subsumed by 584 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.
% 0.18/0.53 Following clause subsumed by 390 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).
% 0.18/0.53 Following clause subsumed by 592 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.
% 0.18/0.53 Following clause subsumed by 507 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.
% 0.18/0.53 Following clause subsumed by 629 during input processing: 0 [] {-} hAPP(c_Suc,A)!=hAPP(c_Suc,B)|A=B.
% 0.18/0.53 Following clause subsumed by 640 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))).
% 0.18/0.53 Following clause subsumed by 645 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).
% 0.18/0.53 Following clause subsumed by 648 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).
% 0.18/0.53 Following clause subsumed by 649 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).
% 0.18/0.53 Following clause subsumed by 646 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).
% 0.18/0.53 Following clause subsumed by 656 during input processing: 0 [] {-} -hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_nat),A)).
% 0.18/0.53 Following clause subsumed by 298 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).
% 0.18/0.53 Following clause subsumed by 671 during input processing: 0 [] {-} hBOOL(hAPP(c_lessequals(A,tc_nat),B))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_nat),B)).
% 0.18/0.53 Following clause subsumed by 704 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.
% 0.18/0.53 Following clause subsumed by 716 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)).
% 0.18/0.53 Following clause subsumed by 719 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)).
% 0.18/0.53 Following clause subsumed by 720 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)).
% 0.18/0.53 Following clause subsumed by 719 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))).
% 0.18/0.53 Following clause subsumed by 735 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.
% 0.18/0.53 Following clause subsumed by 735 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.
% 0.18/0.53 Following clause subsumed by 735 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.
% 0.18/0.53 Following clause subsumed by 298 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).
% 0.18/0.53 Following clause subsumed by 744 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)).
% 0.18/0.53 Following clause subsumed by 748 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)).
% 0.18/0.53 Following clause subsumed by 749 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))).
% 0.18/0.53 Following clause subsumed by 750 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)).
% 0.18/0.53 Following clause subsumed by 751 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))).
% 0.18/0.53 Following clause subsumed by 766 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.
% 0.18/0.53 Following clause subsumed by 690 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).
% 0.18/0.53 Following clause subsumed by 806 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)).
% 0.18/0.53 Following clause subsumed by 805 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))).
% 0.18/0.53 Following clause subsumed by 819 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.
% 0.18/0.54 Following clause subsumed by 818 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.
% 0.18/0.54 Following clause subsumed by 829 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.
% 0.18/0.54 Following clause subsumed by 133 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).
% 0.18/0.54 Following clause subsumed by 819 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).
% 0.18/0.54 Following clause subsumed by 569 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).
% 0.18/0.54 Following clause subsumed by 635 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).
% 0.18/0.54 Following clause subsumed by 865 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)).
% 0.18/0.54 Following clause subsumed by 871 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)).
% 0.18/0.54 Following clause subsumed by 873 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)).
% 0.18/0.54 Following clause subsumed by 899 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)).
% 0.18/0.54 Following clause subsumed by 876 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).
% 0.18/0.54 Following clause subsumed by 875 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).
% 0.18/0.54 Following clause subsumed by 924 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.
% 0.18/0.54 Following clause subsumed by 956 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).
% 0.18/0.54 Following clause subsumed by 966 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)).
% 0.18/0.54 Following clause subsumed by 966 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)).
% 0.18/0.54 Following clause subsumed by 953 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_n))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(v_m,tc_nat),A)).
% 0.18/0.56 82 back subsumes 79.
% 0.18/0.56 83 back subsumes 81.
% 0.18/0.56 230 back subsumes 171.
% 0.18/0.56 231 back subsumes 170.
% 0.18/0.56 298 back subsumes 268.
% 0.18/0.56 515 back subsumes 514.
% 0.18/0.56 568 back subsumes 311.
% 0.18/0.56 807 back subsumes 218.
% 0.18/0.56 1039 back subsumes 1038.
% 0.18/0.56
% 0.18/0.56 ------------> process sos:
% 0.18/0.56 Following clause subsumed by 1197 during input processing: 0 [] {-} hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_nat),hAPP(c_Suc,A))).
% 0.18/0.56 Following clause subsumed by 1200 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)).
% 0.18/0.56 Following clause subsumed by 1200 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.
% 0.18/0.56 Following clause subsumed by 1197 during input processing: 0 [unit_del,656] {-} hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_nat),hAPP(c_Suc,A))).
% 0.18/0.56 Following clause subsumed by 1226 during input processing: 0 [demod,1205] {-} hAPP(B,hAPP(A,v_x))=hAPP(B,hAPP(A,v_x)).
% 0.18/0.56 Following clause subsumed by 1226 during input processing: 0 [demod,1224] {-} hAPP(A,hAPP(B,v_x))=hAPP(A,hAPP(B,v_x)).
% 0.18/0.56 Following clause subsumed by 1235 during input processing: 0 [] {-} hBOOL(hAPP(c_lessequals(A,tc_nat),A)).
% 0.18/0.56 Following clause subsumed by 1226 during input processing: 0 [demod,1205] {-} hAPP(v_g,hAPP(v_f,v_x))=hAPP(v_g,hAPP(v_f,v_x)).
% 0.18/0.56 Following clause subsumed by 1226 during input processing: 0 [demod,1224] {-} hAPP(v_f,hAPP(v_g,v_x))=hAPP(v_f,hAPP(v_g,v_x)).
% 0.18/0.56 Following clause subsumed by 1241 during input processing: 0 [] {-} hBOOL(hAPP(c_HOL_Oord__class_Oless(v_m,tc_nat),v_n)).
% 0.18/0.56 Following clause subsumed by 1209 during input processing: 0 [copy,1209,flip.1] {-} c_Lattices_Olower__semilattice__class_Oinf(A,c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Olower__semilattice__class_Oinf(A,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool)).
% 0.18/0.56 Following clause subsumed by 1220 during input processing: 0 [copy,1220,flip.1] {-} c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(B,A,tc_fun(C,tc_bool)).
% 0.18/0.56 Following clause subsumed by 1349 during input processing: 0 [copy,1226,flip.1] {-} hAPP(A,hAPP(B,C))=hAPP(A,hAPP(B,C)).
% 0.18/0.56 1235 back subsumes 1227.
% 0.18/0.56 Following clause subsumed by 1349 during input processing: 0 [copy,1349,flip.1] {-} A=A.
% 0.18/0.56 1349 back subsumes 1226.
% 0.18/0.56 1349 back subsumes 1160.
% 0.18/0.56 1349 back subsumes 990.
% 0.18/0.56 1349 back subsumes 989.
% 0.18/0.56 1349 back subsumes 988.
% 0.18/0.56 1349 back subsumes 987.
% 0.18/0.56 Following clause subsumed by 1219 during input processing: 0 [copy,1351,flip.1] {-} hAPP(c_COMBS(A,B,C,D,E),F)=hAPP(hAPP(A,F),hAPP(B,F)).
% 0.18/0.56 Following clause subsumed by 1242 during input processing: 0 [copy,1352,flip.1] {-} c_SetInterval_Oord__class_OatLeastLessThan(hAPP(c_Suc,A),B,tc_nat)=c_SetInterval_Oord__class_OgreaterThanLessThan(A,B,tc_nat).
% 0.18/0.56
% 0.18/0.56 ======= end of input processing =======
% 0.75/0.97
% 0.75/0.97
% 0.75/0.97
% 0.75/0.97 Aborting on detection of an error:
% 0.75/0.97
% 0.75/0.97 Too many clauses (whew!).
% 0.75/0.97
%------------------------------------------------------------------------------