%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : ALG364-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n025.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 : Thu Jul 14 18:01:45 EDT 2022
% Result : Unknown 0.65s 0.84s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ALG364-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.12 % Command : sos-script %s
% 0.12/0.33 % Computer : n025.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 7 23:53:04 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.48 ----- Otter 3.2, August 2001 -----
% 0.18/0.48 The process was started by sandbox on n025.cluster.edu,
% 0.18/0.48 Tue Jun 7 23:53:04 2022
% 0.18/0.48 The command was "./sos". The process ID is 14542.
% 0.18/0.48
% 0.18/0.48 set(prolog_style_variables).
% 0.18/0.48 set(auto).
% 0.18/0.48 dependent: set(auto1).
% 0.18/0.48 dependent: set(process_input).
% 0.18/0.48 dependent: clear(print_kept).
% 0.18/0.48 dependent: clear(print_new_demod).
% 0.18/0.48 dependent: clear(print_back_demod).
% 0.18/0.48 dependent: clear(print_back_sub).
% 0.18/0.48 dependent: set(control_memory).
% 0.18/0.48 dependent: assign(max_mem, 12000).
% 0.18/0.48 dependent: assign(pick_given_ratio, 4).
% 0.18/0.48 dependent: assign(stats_level, 1).
% 0.18/0.48 dependent: assign(pick_semantic_ratio, 3).
% 0.18/0.48 dependent: assign(sos_limit, 5000).
% 0.18/0.48 dependent: assign(max_weight, 60).
% 0.18/0.48 clear(print_given).
% 0.18/0.48
% 0.18/0.48 list(usable).
% 0.18/0.48
% 0.18/0.48 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=7.
% 0.18/0.48
% 0.18/0.48 This ia a non-Horn set with equality. The strategy will be
% 0.18/0.48 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.18/0.48 unit deletion, with positive clauses in sos and nonpositive
% 0.18/0.48 clauses in usable.
% 0.18/0.48
% 0.18/0.48 dependent: set(knuth_bendix).
% 0.18/0.48 dependent: set(para_from).
% 0.18/0.48 dependent: set(para_into).
% 0.18/0.48 dependent: clear(para_from_right).
% 0.18/0.48 dependent: clear(para_into_right).
% 0.18/0.48 dependent: set(para_from_vars).
% 0.18/0.48 dependent: set(eq_units_both_ways).
% 0.18/0.48 dependent: set(dynamic_demod_all).
% 0.18/0.48 dependent: set(dynamic_demod).
% 0.18/0.48 dependent: set(order_eq).
% 0.18/0.48 dependent: set(back_demod).
% 0.18/0.48 dependent: set(lrpo).
% 0.18/0.48 dependent: set(hyper_res).
% 0.18/0.48 dependent: set(unit_deletion).
% 0.18/0.48 dependent: set(factor).
% 0.18/0.48
% 0.18/0.48 ------------> process usable:
% 0.18/0.48 Following clause subsumed by 6 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).
% 0.18/0.48 Following clause subsumed by 18 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.
% 0.18/0.48 Following clause subsumed by 41 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C| -c_lessequals(C,B,A)| -c_lessequals(B,C,A).
% 0.18/0.48 Following clause subsumed by 41 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C| -c_lessequals(C,B,A)| -c_lessequals(B,C,A).
% 0.18/0.48 Following clause subsumed by 56 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).
% 0.18/0.48 Following clause subsumed by 92 during input processing: 0 [] {-} -class_Ring__and__Field_Opordered__ring(A)|c_lessequals(c_HOL_Ozero__class_Ozero(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C),A)| -c_lessequals(C,c_HOL_Ozero__class_Ozero(A),A)| -c_lessequals(B,c_HOL_Ozero__class_Ozero(A),A).
% 0.18/0.48 Following clause subsumed by 99 during input processing: 0 [flip.2] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)),D)=hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),C),D)).
% 0.18/0.48 Following clause subsumed by 99 during input processing: 0 [flip.2] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)),D)=hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),C),D)).
% 0.18/0.48 Following clause subsumed by 103 during input processing: 0 [flip.2] {-} -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),C),D)).
% 0.18/0.48 Following clause subsumed by 104 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C)),D)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),C),D)).
% 0.18/0.49 Following clause subsumed by 117 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),hAPP(c_HOL_Ouminus__class_Ouminus(A),B)),C)=hAPP(c_HOL_Ouminus__class_Ouminus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)).
% 0.18/0.49 Following clause subsumed by 118 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),hAPP(c_HOL_Ouminus__class_Ouminus(A),C))=hAPP(c_HOL_Ouminus__class_Ouminus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)).
% 0.18/0.49 Following clause subsumed by 135 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)| -class_RealVector_Ometric__space(B)|c_Lim_OLIM(hAPP(c_COMBC(c_COMBB(c_HOL_Otimes__class_Otimes(A),C,A,tc_fun(A,A),B),B,A,A),D),E,c_HOL_Ozero__class_Ozero(A),B,A)| -c_Lim_OLIM(C,E,c_HOL_Ozero__class_Ozero(A),B,A).
% 0.18/0.49 Following clause subsumed by 154 during input processing: 0 [] {-} -class_Ring__and__Field_Opordered__cancel__semiring(A)|c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C),c_HOL_Ozero__class_Ozero(A),A)| -c_lessequals(C,c_HOL_Ozero__class_Ozero(A),A)| -c_lessequals(c_HOL_Ozero__class_Ozero(A),B,A).
% 0.18/0.49 Following clause subsumed by 155 during input processing: 0 [] {-} -class_Ring__and__Field_Opordered__cancel__semiring(A)|c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C),c_HOL_Ozero__class_Ozero(A),A)| -c_lessequals(c_HOL_Ozero__class_Ozero(A),C,A)| -c_lessequals(B,c_HOL_Ozero__class_Ozero(A),A).
% 0.18/0.49 Following clause subsumed by 155 during input processing: 0 [] {-} -class_Ring__and__Field_Opordered__cancel__semiring(A)|c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C),c_HOL_Ozero__class_Ozero(A),A)| -c_lessequals(B,c_HOL_Ozero__class_Ozero(A),A)| -c_lessequals(c_HOL_Ozero__class_Ozero(A),C,A).
% 0.18/0.49 Following clause subsumed by 177 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.
% 0.18/0.49 Following clause subsumed by 178 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.
% 0.18/0.49 Following clause subsumed by 100 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),E))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)),E)).
% 0.18/0.49 Following clause subsumed by 99 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),E))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),C),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),E))).
% 0.18/0.49 Following clause subsumed by 208 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).
% 0.18/0.49 Following clause subsumed by 209 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).
% 0.18/0.49 Following clause subsumed by 212 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).
% 0.18/0.49 Following clause subsumed by 215 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).
% 0.18/0.49 Following clause subsumed by 222 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.
% 0.18/0.49 Following clause subsumed by 225 during input processing: 0 [] {-} -class_Ring__and__Field_Ono__zero__divisors(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)!=c_HOL_Ozero__class_Ozero(A)|B=c_HOL_Ozero__class_Ozero(A)|C=c_HOL_Ozero__class_Ozero(A).
% 0.18/0.49 Following clause subsumed by 233 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.
% 0.18/0.49 Following clause subsumed by 234 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.
% 0.18/0.49 Following clause subsumed by 251 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).
% 0.18/0.49 Following clause subsumed by 257 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.
% 0.18/0.49 Following clause subsumed by 263 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),hAPP(c_RealVector_OscaleR__class_OscaleR(B,A),C)),D)=hAPP(c_RealVector_OscaleR__class_OscaleR(B,A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),C),D)).
% 0.18/0.49 Following clause subsumed by 264 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),hAPP(c_RealVector_OscaleR__class_OscaleR(C,A),D))=hAPP(c_RealVector_OscaleR__class_OscaleR(C,A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D)).
% 0.18/0.49 Following clause subsumed by 272 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|c_Limits_OZfun(hAPP(c_COMBC(c_COMBB(c_HOL_Otimes__class_Otimes(A),B,A,tc_fun(A,A),C),C,A,A),D),E,C,A)| -c_Limits_OZfun(B,E,C,A).
% 0.18/0.49 Following clause subsumed by 289 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.
% 0.18/0.49 Following clause subsumed by 299 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)).
% 0.18/0.49 Following clause subsumed by 307 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.
% 0.18/0.49 Following clause subsumed by 308 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.
% 0.18/0.49 Following clause subsumed by 331 during input processing: 0 [] {-} -class_Ring__and__Field_Oidom(A)| -class_Int_Onumber__ring(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),E))!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),E)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),C))|C=E|B=D.
% 0.18/0.49 Following clause subsumed by 337 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_HOL_Ozero__class_Ozero(A)),B)=c_HOL_Ozero__class_Ozero(A).
% 0.18/0.49 Following clause subsumed by 338 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),c_HOL_Ozero__class_Ozero(A))=c_HOL_Ozero__class_Ozero(A).
% 0.18/0.49 Following clause subsumed by 335 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_HOL_Ozero__class_Ozero(A)),B)=c_HOL_Ozero__class_Ozero(A).
% 0.18/0.49 Following clause subsumed by 358 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.
% 0.18/0.49 Following clause subsumed by 288 during input processing: 0 [] {-} -class_Ring__and__Field_Oring(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),hAPP(hAPP(c_HOL_Ominus__class_Ominus(A),D),B)),C)),E))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),C)),E).
% 0.18/0.49 Following clause subsumed by 375 during input processing: 0 [] {-} -class_Ring__and__Field_Oidom(A)| -class_Int_Onumber__ring(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)).
% 0.18/0.49 Following clause subsumed by 381 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)=hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),C),B).
% 0.18/0.49 Following clause subsumed by 385 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.
% 0.18/0.49 Following clause subsumed by 403 during input processing: 0 [flip.2] {-} -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_HOL_Ominus__class_Ominus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),hAPP(hAPP(c_HOL_Ominus__class_Ominus(A),C),D)).
% 0.18/0.49 Following clause subsumed by 404 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),hAPP(hAPP(c_HOL_Ominus__class_Ominus(A),B),C)),D)=hAPP(hAPP(c_HOL_Ominus__class_Ominus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),C),D)).
% 0.18/0.49 Following clause subsumed by 416 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.
% 0.18/0.49 Following clause subsumed by 417 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.
% 0.18/0.49 Following clause subsumed by 420 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|c_SEQ_OZseq(hAPP(c_COMBC(c_COMBB(c_HOL_Otimes__class_Otimes(A),B,A,tc_fun(A,A),tc_nat),tc_nat,A,A),C),A)| -c_SEQ_OZseq(B,A).
% 0.18/0.49 Following clause subsumed by 422 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.
% 0.18/0.49 Following clause subsumed by 435 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.
% 0.18/0.49 Following clause subsumed by 444 during input processing: 0 [] {-} -class_OrderedGroup_Opordered__ab__group__add(A)|c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(A),B),C,A)| -c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(A),C),B,A).
% 0.18/0.49 Following clause subsumed by 445 during input processing: 0 [] {-} -class_OrderedGroup_Opordered__ab__group__add(A)|c_lessequals(B,hAPP(c_HOL_Ouminus__class_Ouminus(A),C),A)| -c_lessequals(C,hAPP(c_HOL_Ouminus__class_Ouminus(A),B),A).
% 0.18/0.49 Following clause subsumed by 474 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.
% 0.18/0.49 Following clause subsumed by 473 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.
% 0.18/0.49 Following clause subsumed by 484 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.
% 0.18/0.49 Following clause subsumed by 57 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).
% 0.18/0.49 Following clause subsumed by 474 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).
% 0.18/0.50 Following clause subsumed by 500 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|c_Series_Osummable(hAPP(c_COMBC(c_COMBB(c_HOL_Otimes__class_Otimes(A),B,A,tc_fun(A,A),tc_nat),tc_nat,A,A),C),A)| -c_Series_Osummable(B,A).
% 0.18/0.50 Following clause subsumed by 501 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|c_Series_Osums(hAPP(c_COMBC(c_COMBB(c_HOL_Otimes__class_Otimes(A),B,A,tc_fun(A,A),tc_nat),tc_nat,A,A),C),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),C),A)| -c_Series_Osums(B,D,A).
% 0.18/0.50 Following clause subsumed by 504 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_Series_Osuminf(B,A)),C)=c_Series_Osuminf(hAPP(c_COMBC(c_COMBB(c_HOL_Otimes__class_Otimes(A),B,A,tc_fun(A,A),tc_nat),tc_nat,A,A),C),A)| -c_Series_Osummable(B,A).
% 0.18/0.50 Following clause subsumed by 518 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|c_Series_Osummable(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(A),B),C,A,A,tc_nat),A)| -c_Series_Osummable(C,A).
% 0.18/0.50 Following clause subsumed by 520 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|c_Limits_OZfun(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(A),B),C,A,A,D),E,D,A)| -c_Limits_OZfun(C,E,D,A).
% 0.18/0.50 Following clause subsumed by 522 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__vector(A)|c_Limits_OZfun(c_COMBB(c_RealVector_OscaleR__class_OscaleR(B,A),C,A,A,D),E,D,A)| -c_Limits_OZfun(C,E,D,A).
% 0.18/0.50 Following clause subsumed by 528 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|c_SEQ_OZseq(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(A),B),C,A,A,tc_nat),A)| -c_SEQ_OZseq(C,A).
% 0.18/0.50 Following clause subsumed by 529 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__vector(A)|c_SEQ_OZseq(c_COMBB(c_RealVector_OscaleR__class_OscaleR(B,A),C,A,A,tc_nat),A)| -c_SEQ_OZseq(C,A).
% 0.18/0.50 Following clause subsumed by 531 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|c_Series_Osums(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(A),B),C,A,A,tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D),A)| -c_Series_Osums(C,D,A).
% 0.18/0.50 Following clause subsumed by 550 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)| -class_RealVector_Ometric__space(B)|c_Lim_OLIM(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(A),C),D,A,A,B),E,c_HOL_Ozero__class_Ozero(A),B,A)| -c_Lim_OLIM(D,E,c_HOL_Ozero__class_Ozero(A),B,A).
% 0.18/0.50 Following clause subsumed by 551 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__vector(A)| -class_RealVector_Ometric__space(B)|c_Lim_OLIM(c_COMBB(c_RealVector_OscaleR__class_OscaleR(C,A),D,A,A,B),E,c_HOL_Ozero__class_Ozero(A),B,A)| -c_Lim_OLIM(D,E,c_HOL_Ozero__class_Ozero(A),B,A).
% 0.18/0.50 Following clause subsumed by 563 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),c_Series_Osuminf(C,A))=c_Series_Osuminf(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(A),B),C,A,A,tc_nat),A)| -c_Series_Osummable(C,A).
% 0.18/0.50 Following clause subsumed by 596 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).
% 0.18/0.50 Following clause subsumed by 601 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).
% 0.18/0.50 Following clause subsumed by 607 during input processing: 0 [flip.2] {-} -class_OrderedGroup_Ogroup__add(A)|hAPP(c_HOL_Ouminus__class_Ouminus(A),c_HOL_Ozero__class_Ozero(A))=c_HOL_Ozero__class_Ozero(A).
% 0.18/0.50 Following clause subsumed by 614 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).
% 0.18/0.50 Following clause subsumed by 634 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.
% 0.18/0.52 Following clause subsumed by 645 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.
% 0.18/0.52 Following clause subsumed by 645 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.
% 0.18/0.52 Following clause subsumed by 645 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.
% 0.18/0.52 Following clause subsumed by 653 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)).
% 0.18/0.52 Following clause subsumed by 653 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)).
% 0.18/0.52 Following clause subsumed by 686 during input processing: 0 [] {-} hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),C)|B=C.
% 0.18/0.52 Following clause subsumed by 698 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__vector(A)|c_Series_Osummable(B,A)| -c_Series_Osums(B,C,A).
% 0.18/0.52 Following clause subsumed by 699 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).
% 0.18/0.52 Following clause subsumed by 704 during input processing: 0 [] {-} -class_RealVector_Ometric__space(A)|c_SEQ_Oconvergent(B,A)| -c_SEQ_OLIMSEQ(B,C,A).
% 0.18/0.52 Following clause subsumed by 716 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__vector(A)| -c_Series_Osummable(B,A)|c_Series_Osums(B,c_Series_Osuminf(B,A),A).
% 0.18/0.52 84 back subsumes 83.
% 0.18/0.52 454 back subsumes 453.
% 0.18/0.52 590 back subsumes 588.
% 0.18/0.52 591 back subsumes 589.
% 0.18/0.52 598 back subsumes 545.
% 0.18/0.52 598 back subsumes 544.
% 0.18/0.52 598 back subsumes 541.
% 0.18/0.52 598 back subsumes 448.
% 0.18/0.52 704 back subsumes 537.
% 0.18/0.52 782 back subsumes 781.
% 0.18/0.52
% 0.18/0.52 ------------> process sos:
% 0.18/0.52 Following clause subsumed by 925 during input processing: 0 [] {-} hAPP(hAPP(c_COMBC(A,B,C,D),E),F)=hAPP(hAPP(A,F),E).
% 0.18/0.52 923 back subsumes 876.
% 0.18/0.52 Following clause subsumed by 926 during input processing: 0 [copy,926,flip.1] {-} hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),C))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),C)).
% 0.18/0.52 Following clause subsumed by 933 during input processing: 0 [copy,933,flip.1] {-} hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),A).
% 0.18/0.52 Following clause subsumed by 1070 during input processing: 0 [copy,1068,flip.1] {-} hAPP(A,hAPP(B,C))=hAPP(A,hAPP(B,C)).
% 0.18/0.52 Following clause subsumed by 1070 during input processing: 0 [copy,1070,flip.1] {-} A=A.
% 0.18/0.52 1070 back subsumes 1068.
% 0.18/0.52 1070 back subsumes 888.
% 0.18/0.52 1070 back subsumes 887.
% 0.18/0.52 1070 back subsumes 857.
% 0.18/0.52 1070 back subsumes 770.
% 0.18/0.52 1070 back subsumes 769.
% 0.18/0.52 1070 back subsumes 768.
% 0.18/0.52 1070 back subsumes 757.
% 0.18/0.52 1070 back subsumes 756.
% 0.18/0.52 Following clause subsumed by 925 during input processing: 0 [copy,1071,flip.1] {-} hAPP(hAPP(c_COMBC(A,B,C,D),E),F)=hAPP(hAPP(A,F),E).
% 0.18/0.52
% 0.18/0.52 ======= end of input processing =======
% 0.65/0.83
% 0.65/0.83
% 0.65/0.83
% 0.65/0.83 Aborting on detection of an error:
% 0.65/0.83
% 0.65/0.83 Too many clauses (whew!).
% 0.65/0.83
%------------------------------------------------------------------------------