TSTP Solution File: SWV681-1 by SOS---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : SWV681-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n021.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 21:39:53 EDT 2022
% Result : Unknown 0.34s 0.62s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : SWV681-1 : TPTP v8.1.0. Released v4.1.0.
% 0.00/0.07 % Command : sos-script %s
% 0.06/0.26 % Computer : n021.cluster.edu
% 0.06/0.26 % Model : x86_64 x86_64
% 0.06/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.26 % Memory : 8042.1875MB
% 0.06/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.26 % CPULimit : 300
% 0.06/0.26 % WCLimit : 600
% 0.06/0.26 % DateTime : Wed Jun 15 09:21:43 EDT 2022
% 0.06/0.26 % CPUTime :
% 0.10/0.33 ----- Otter 3.2, August 2001 -----
% 0.10/0.33 The process was started by sandbox on n021.cluster.edu,
% 0.10/0.33 Wed Jun 15 09:21:43 2022
% 0.10/0.33 The command was "./sos". The process ID is 24354.
% 0.10/0.33
% 0.10/0.33 set(prolog_style_variables).
% 0.10/0.33 set(auto).
% 0.10/0.33 dependent: set(auto1).
% 0.10/0.33 dependent: set(process_input).
% 0.10/0.33 dependent: clear(print_kept).
% 0.10/0.33 dependent: clear(print_new_demod).
% 0.10/0.33 dependent: clear(print_back_demod).
% 0.10/0.33 dependent: clear(print_back_sub).
% 0.10/0.33 dependent: set(control_memory).
% 0.10/0.33 dependent: assign(max_mem, 12000).
% 0.10/0.33 dependent: assign(pick_given_ratio, 4).
% 0.10/0.33 dependent: assign(stats_level, 1).
% 0.10/0.33 dependent: assign(pick_semantic_ratio, 3).
% 0.10/0.33 dependent: assign(sos_limit, 5000).
% 0.10/0.33 dependent: assign(max_weight, 60).
% 0.10/0.33 clear(print_given).
% 0.10/0.33
% 0.10/0.33 list(usable).
% 0.10/0.33
% 0.10/0.33 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=6.
% 0.10/0.33
% 0.10/0.33 This ia a non-Horn set with equality. The strategy will be
% 0.10/0.33 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.10/0.33 unit deletion, with positive clauses in sos and nonpositive
% 0.10/0.33 clauses in usable.
% 0.10/0.33
% 0.10/0.33 dependent: set(knuth_bendix).
% 0.10/0.33 dependent: set(para_from).
% 0.10/0.33 dependent: set(para_into).
% 0.10/0.33 dependent: clear(para_from_right).
% 0.10/0.33 dependent: clear(para_into_right).
% 0.10/0.33 dependent: set(para_from_vars).
% 0.10/0.33 dependent: set(eq_units_both_ways).
% 0.10/0.33 dependent: set(dynamic_demod_all).
% 0.10/0.33 dependent: set(dynamic_demod).
% 0.10/0.33 dependent: set(order_eq).
% 0.10/0.33 dependent: set(back_demod).
% 0.10/0.33 dependent: set(lrpo).
% 0.10/0.33 dependent: set(hyper_res).
% 0.10/0.33 dependent: set(unit_deletion).
% 0.10/0.33 dependent: set(factor).
% 0.10/0.33
% 0.10/0.33 ------------> process usable:
% 0.10/0.33 Following clause subsumed by 14 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|B=C|c_HOL_Oord__class_Oless(B,C,A)|c_HOL_Oord__class_Oless(C,B,A).
% 0.10/0.33 Following clause subsumed by 14 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,C,A)|C=B|c_HOL_Oord__class_Oless(C,B,A).
% 0.10/0.33 Following clause subsumed by 14 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,C,A)|c_HOL_Oord__class_Oless(C,B,A)|C=B.
% 0.10/0.33 Following clause subsumed by 22 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)|B=c_HOL_Ozero__class_Ozero(A)|c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),C),B),B,A)=C.
% 0.10/0.33 Following clause subsumed by 22 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(hAPP(c_HOL_Otimes__class_Otimes(A),B),C),C,A)=B|C=c_HOL_Ozero__class_Ozero(A).
% 0.10/0.33 Following clause subsumed by 22 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C),C,A)=B|C=c_HOL_Ozero__class_Ozero(A).
% 0.10/0.33 Following clause subsumed by 35 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).
% 0.10/0.33 Following clause subsumed by 60 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),c_HOL_Ominus__class_Ominus(I,J,A)),J)=I.
% 0.10/0.33 Following clause subsumed by 68 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__semiring__strict(A)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C),c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),C,A).
% 0.10/0.33 Following clause subsumed by 71 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).
% 0.10/0.33 Following clause subsumed by 91 during input processing: 0 [] {-} c_Suc(A)!=A.
% 0.10/0.33 Following clause subsumed by 56 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.
% 0.10/0.33 Following clause subsumed by 57 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.
% 0.10/0.33 Following clause subsumed by 185 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).
% 0.10/0.33 Following clause subsumed by 186 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).
% 0.10/0.33 Following clause subsumed by 189 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).
% 0.10/0.33 Following clause subsumed by 192 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).
% 0.10/0.33 Following clause subsumed by 202 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)|c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),I),J),J,A)=I.
% 0.10/0.33 Following clause subsumed by 219 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.
% 0.10/0.33 Following clause subsumed by 220 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.
% 0.10/0.33 Following clause subsumed by 237 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).
% 0.10/0.33 Following clause subsumed by 246 during input processing: 0 [] {-} -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ominus__class_Ominus(B,B,A)=c_HOL_Ozero__class_Ozero(A).
% 0.10/0.33 Following clause subsumed by 64 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(A),c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(A),B,A),A).
% 0.10/0.33 Following clause subsumed by 258 during input processing: 0 [] {-} -class_Divides_Osemiring__div(A)|c_Ring__and__Field_Odvd__class_Odvd(B,C,A)| -c_Ring__and__Field_Odvd__class_Odvd(B,c_Divides_Odiv__class_Omod(C,D,A),A)| -c_Ring__and__Field_Odvd__class_Odvd(B,D,A).
% 0.10/0.33 Following clause subsumed by 269 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),c_HOL_Oinverse__class_Odivide(B,C,A),A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),C,A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),B,A).
% 0.10/0.33 Following clause subsumed by 268 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),c_HOL_Oinverse__class_Odivide(B,C,A),A)| -c_HOL_Oord__class_Oless(C,c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A).
% 0.10/0.33 Following clause subsumed by 288 during input processing: 0 [flip.2] {-} -class_OrderedGroup_Oab__group__add(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),c_HOL_Ouminus__class_Ouminus(C,A))=c_HOL_Ominus__class_Ominus(B,C,A).
% 0.10/0.33 Following clause subsumed by 292 during input processing: 0 [] {-} -class_OrderedGroup_Ogroup__add(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),c_HOL_Ouminus__class_Ouminus(C,A))=c_HOL_Ominus__class_Ominus(B,C,A)| -c_Ring__and__Field_Ofield(D,E,F,G,H,I,J,K,L).
% 0.10/0.33 Following clause subsumed by 329 during input processing: 0 [] {-} -class_OrderedGroup_Oab__group__add(A)| -c_Ring__and__Field_Opordered__ring(B,C,D,E,F,G,H,I)|c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),J),K),K,A)=J.
% 0.10/0.33 Following clause subsumed by 201 during input processing: 0 [] {-} -class_Ring__and__Field_Ozero__neq__one(A)|c_HOL_Ozero__class_Ozero(A)!=c_HOL_Oone__class_Oone(A).
% 0.10/0.33 Following clause subsumed by 363 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),c_HOL_Ominus__class_Ominus(J,K,A)),K)=J.
% 0.10/0.33 Following clause subsumed by 259 during input processing: 0 [] {-} -class_Divides_Osemiring__div(A)|c_Ring__and__Field_Odvd__class_Odvd(B,c_Divides_Odiv__class_Omod(C,D,A),A)| -c_Ring__and__Field_Odvd__class_Odvd(B,D,A)| -c_Ring__and__Field_Odvd__class_Odvd(B,C,A).
% 0.10/0.33 Following clause subsumed by 366 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),c_HOL_Ominus__class_Ominus(H,I,A)),I)=H.
% 0.10/0.33 Following clause subsumed by 362 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),c_HOL_Ominus__class_Ominus(D,B,A)),C)),E))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),C)),E).
% 0.10/0.33 Following clause subsumed by 372 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)| -class_Int_Onumber__ring(A)|hAPP(c_HOL_Oinverse__class_Oinverse(A),B)=c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(A),B,A).
% 0.10/0.33 Following clause subsumed by 389 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|c_Power_Opower__class_Opower(B,c_Suc(C),A)=hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),c_Power_Opower__class_Opower(B,C,A)).
% 0.10/0.33 Following clause subsumed by 401 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)).
% 0.10/0.33 Following clause subsumed by 401 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)).
% 0.10/0.33 Following clause subsumed by 407 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)|c_HOL_Oinverse__class_Odivide(B,B,A)=c_HOL_Oone__class_Oone(A)|B=c_HOL_Ozero__class_Ozero(A).
% 0.10/0.33 Following clause subsumed by 407 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oinverse__class_Odivide(B,B,A)=c_HOL_Oone__class_Oone(A)|B=c_HOL_Ozero__class_Ozero(A).
% 0.10/0.33 Following clause subsumed by 123 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).
% 0.10/0.33 Following clause subsumed by 124 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).
% 0.10/0.33 Following clause subsumed by 411 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),c_HOL_Ominus__class_Ominus(K,L,A)),L)=K.
% 0.10/0.33 Following clause subsumed by 422 during input processing: 0 [] {-} -class_OrderedGroup_Ogroup__add(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),c_HOL_Ouminus__class_Ouminus(B,A)),B)=c_HOL_Ozero__class_Ozero(A).
% 0.10/0.33 Following clause subsumed by 436 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).
% 0.10/0.33 Following clause subsumed by 58 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(A,B,tc_nat)| -c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Suc(C)),A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Suc(C)),B),tc_nat).
% 0.10/0.33 Following clause subsumed by 450 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.
% 0.10/0.33 Following clause subsumed by 451 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.
% 0.10/0.33 Following clause subsumed by 463 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)).
% 0.10/0.33 Following clause subsumed by 467 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).
% 0.10/0.33 Following clause subsumed by 475 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.
% 0.10/0.33 Following clause subsumed by 476 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.
% 0.10/0.33 Following clause subsumed by 501 during input processing: 0 [] {-} c_Suc(A)!=c_Suc(B)|A=B.
% 0.10/0.33 Following clause subsumed by 517 during input processing: 0 [] {-} A=B|c_HOL_Oord__class_Oless(A,B,tc_nat)| -c_HOL_Oord__class_Oless(A,c_Suc(B),tc_nat).
% 0.10/0.33 Following clause subsumed by 523 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_HOL_Oinverse__class_Odivide(B,C,A)),C)=B|C=c_HOL_Ozero__class_Ozero(A).
% 0.10/0.33 Following clause subsumed by 533 during input processing: 0 [] {-} -c_HOL_Oord__class_Oless(A,A,tc_nat).
% 0.10/0.33 Following clause subsumed by 292 during input processing: 0 [] {-} -class_OrderedGroup_Ogroup__add(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),c_HOL_Ouminus__class_Ouminus(C,A))=c_HOL_Ominus__class_Ominus(B,C,A)| -c_OrderedGroup_Opordered__ab__group__add(D,E,F,G,H,I,J).
% 0.10/0.33 Following clause subsumed by 558 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),hAPP(c_HOL_Oinverse__class_Oinverse(A),B),A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),B,A).
% 0.10/0.33 Following clause subsumed by 561 during input processing: 0 [] {-} -class_OrderedGroup_Oab__group__add(A)| -c_Ring__and__Field_Oring(B,C,D,E,F,G)|c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),H),I),I,A)=H.
% 0.10/0.33 Following clause subsumed by 578 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)|c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),K),L),L,A)=K.
% 0.10/0.33 Following clause subsumed by 585 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__ring__strict(A)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),C),A)| -c_HOL_Oord__class_Oless(C,c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(D,B,A).
% 0.10/0.33 Following clause subsumed by 588 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__ring__strict(A)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D),A)| -c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(D,C,A).
% 0.10/0.33 Following clause subsumed by 589 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__ring__strict(A)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D),A)| -c_HOL_Oord__class_Oless(C,D,A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),B,A).
% 0.10/0.33 Following clause subsumed by 588 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__ring__strict(A)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D),A)| -c_HOL_Oord__class_Oless(D,C,A)| -c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A).
% 0.10/0.34 Following clause subsumed by 604 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.
% 0.10/0.34 Following clause subsumed by 614 during input processing: 0 [flip.2] {-} -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(B,A),A)=B.
% 0.10/0.34 Following clause subsumed by 614 during input processing: 0 [flip.2] {-} -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(B,A),A)=B.
% 0.10/0.34 Following clause subsumed by 614 during input processing: 0 [] {-} -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(B,A),A)=B.
% 0.10/0.34 Following clause subsumed by 292 during input processing: 0 [] {-} -class_OrderedGroup_Ogroup__add(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),c_HOL_Ouminus__class_Ouminus(C,A))=c_HOL_Ominus__class_Ominus(B,C,A)| -c_Ring__and__Field_Opordered__ring(D,E,F,G,H,I,J,K).
% 0.10/0.34 Following clause subsumed by 620 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(c_Suc(A),c_Suc(B),tc_nat)| -c_HOL_Oord__class_Oless(A,B,tc_nat).
% 0.10/0.34 Following clause subsumed by 622 during input processing: 0 [] {-} -class_OrderedGroup_Opordered__ab__group__add(A)|c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(B,A),C,A)| -c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(C,A),B,A).
% 0.10/0.34 Following clause subsumed by 623 during input processing: 0 [] {-} -class_OrderedGroup_Opordered__ab__group__add(A)|c_HOL_Oord__class_Oless(B,c_HOL_Ouminus__class_Ouminus(C,A),A)| -c_HOL_Oord__class_Oless(C,c_HOL_Ouminus__class_Ouminus(B,A),A).
% 0.10/0.34 Following clause subsumed by 637 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).
% 0.10/0.34 Following clause subsumed by 638 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).
% 0.10/0.34 Following clause subsumed by 636 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).
% 0.10/0.34 Following clause subsumed by 642 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.
% 0.10/0.34 Following clause subsumed by 654 during input processing: 0 [] {-} -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(A),A)=c_HOL_Ozero__class_Ozero(A).
% 0.10/0.34 Following clause subsumed by 667 during input processing: 0 [flip.3] {-} -class_Ring__and__Field_Ofield(A)| -class_Int_Onumber__ring(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),hAPP(c_HOL_Oinverse__class_Oinverse(A),C))=c_HOL_Oinverse__class_Odivide(B,C,A).
% 0.10/0.34 Following clause subsumed by 674 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__semidom(A)|c_HOL_Oord__class_Oless(B,C,tc_nat)| -c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(D,B,A),c_Power_Opower__class_Opower(D,C,A),A)| -c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(A),D,A).
% 0.10/0.34 Following clause subsumed by 675 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__semidom(A)|c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(B,C,A),c_Power_Opower__class_Opower(B,D,A),A)| -c_HOL_Oord__class_Oless(C,D,tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(A),B,A).
% 0.10/0.34 Following clause subsumed by 683 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(B,C,A),c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(C,c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),B,A).
% 0.10/0.34 Following clause subsumed by 682 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(B,C,A),c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),C,A)| -c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A).
% 0.10/0.34 Following clause subsumed by 691 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.
% 0.10/0.34 Following clause subsumed by 690 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.
% 0.10/0.34 Following clause subsumed by 701 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.
% 0.10/0.34 Following clause subsumed by 36 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).
% 0.10/0.34 Following clause subsumed by 691 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).
% 0.10/0.34 Following clause subsumed by 436 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).
% 0.10/0.34 Following clause subsumed by 507 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_HOL_Ozero__class_Ozero(A)),B),B,A)=c_HOL_Ozero__class_Ozero(A).
% 0.10/0.34 Following clause subsumed by 738 during input processing: 0 [] {-} -class_Orderings_Opreorder(A)| -c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(C,B,A).
% 0.10/0.34 Following clause subsumed by 748 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)).
% 0.10/0.34 Following clause subsumed by 749 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)).
% 0.10/0.34 Following clause subsumed by 756 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),c_HOL_Ouminus__class_Ouminus(C,A))=c_HOL_Ouminus__class_Ouminus(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C),A).
% 0.10/0.34 Following clause subsumed by 757 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_HOL_Ouminus__class_Ouminus(B,A)),C)=c_HOL_Ouminus__class_Ouminus(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C),A).
% 0.10/0.34 Following clause subsumed by 762 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)).
% 0.10/0.34 Following clause subsumed by 764 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)).
% 0.10/0.34 Following clause subsumed by 792 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).
% 0.10/0.34 Following clause subsumed by 799 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_HOL_Oone__class_Oone(A)),B)=B.
% 0.10/0.35 Following clause subsumed by 806 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)).
% 0.10/0.35 Following clause subsumed by 811 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),c_HOL_Ominus__class_Ominus(C,D,A))=c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D),A).
% 0.10/0.35 Following clause subsumed by 812 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_HOL_Ominus__class_Ominus(B,C,A)),D)=c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),C),D),A).
% 0.10/0.35 Following clause subsumed by 795 during input processing: 0 [flip.2] {-} -class_Divides_Osemiring__div(A)|c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_Divides_Odiv__class_Omod(B,D,A)),C),D,A)=c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C),D,A).
% 0.10/0.35 Following clause subsumed by 825 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)).
% 0.10/0.35 Following clause subsumed by 825 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)),D)=hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),C),D)).
% 0.10/0.35 Following clause subsumed by 826 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)).
% 0.10/0.35 Following clause subsumed by 825 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))).
% 0.10/0.35 Following clause subsumed by 833 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).
% 0.10/0.35 97 back subsumes 94.
% 0.10/0.35 98 back subsumes 96.
% 0.10/0.35 119 back subsumes 118.
% 0.10/0.35 292 back subsumes 260.
% 0.10/0.35 372 back subsumes 139.
% 0.10/0.35 435 back subsumes 304.
% 0.10/0.35 540 back subsumes 539.
% 0.10/0.35 656 back subsumes 655.
% 0.10/0.35 822 back subsumes 820.
% 0.10/0.35
% 0.10/0.35 ------------> process sos:
% 0.10/0.35 Following clause subsumed by 946 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(A,c_Suc(A),tc_nat).
% 0.10/0.35 Following clause subsumed by 947 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(A,B),C))|c_HOL_Oord__class_Oless(B,C,tc_nat)|C=B|c_HOL_Oord__class_Oless(C,B,tc_nat).
% 0.10/0.35 Following clause subsumed by 947 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(A,B,tc_nat)|c_HOL_Oord__class_Oless(B,A,tc_nat)|B=A.
% 0.10/0.35 Following clause subsumed by 946 during input processing: 0 [unit_del,533] {-} c_HOL_Oord__class_Oless(A,c_Suc(A),tc_nat).
% 0.10/0.35 Following clause subsumed by 951 during input processing: 0 [copy,951,flip.1] {-} hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),B)=hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),B),A).
% 0.10/0.35 Following clause subsumed by 1096 during input processing: 0 [copy,1096,flip.1] {-} A=A.
% 0.10/0.35 1096 back subsumes 929.
% 0.10/0.35 1096 back subsumes 862.
% 0.10/0.35 1096 back subsumes 860.
% 0.10/0.35 1096 back subsumes 859.
% 0.10/0.35 1096 back subsumes 858.
% 0.10/0.35 1096 back subsumes 841.
% 0.10/0.35 1096 back subsumes 840.
% 0.10/0.35 1096 back subsumes 839.
% 0.10/0.35 1096 back subsumes 838.
% 0.10/0.35
% 0.10/0.35 ======= end of input processing =======
% 0.34/0.62
% 0.34/0.62
% 0.34/0.62
% 0.34/0.62 Aborting on detection of an error:
% 0.34/0.62
% 0.34/0.62 Too many clauses (whew!).
% 0.34/0.62
%------------------------------------------------------------------------------