TSTP Solution File: SWV692-1 by SOS---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : SWV692-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n013.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 21:39:55 EDT 2022
% Result : Unknown 1.35s 1.53s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV692-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.12 % Command : sos-script %s
% 0.12/0.33 % Computer : n013.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 08:33:28 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.49 ----- Otter 3.2, August 2001 -----
% 0.19/0.49 The process was started by sandbox on n013.cluster.edu,
% 0.19/0.49 Wed Jun 15 08:33:29 2022
% 0.19/0.49 The command was "./sos". The process ID is 1532.
% 0.19/0.49
% 0.19/0.49 set(prolog_style_variables).
% 0.19/0.49 set(auto).
% 0.19/0.49 dependent: set(auto1).
% 0.19/0.49 dependent: set(process_input).
% 0.19/0.49 dependent: clear(print_kept).
% 0.19/0.49 dependent: clear(print_new_demod).
% 0.19/0.49 dependent: clear(print_back_demod).
% 0.19/0.49 dependent: clear(print_back_sub).
% 0.19/0.49 dependent: set(control_memory).
% 0.19/0.49 dependent: assign(max_mem, 12000).
% 0.19/0.49 dependent: assign(pick_given_ratio, 4).
% 0.19/0.49 dependent: assign(stats_level, 1).
% 0.19/0.49 dependent: assign(pick_semantic_ratio, 3).
% 0.19/0.49 dependent: assign(sos_limit, 5000).
% 0.19/0.49 dependent: assign(max_weight, 60).
% 0.19/0.49 clear(print_given).
% 0.19/0.49
% 0.19/0.49 list(usable).
% 0.19/0.49
% 0.19/0.49 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=6.
% 0.19/0.49
% 0.19/0.49 This ia a non-Horn set with equality. The strategy will be
% 0.19/0.49 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.19/0.49 unit deletion, with positive clauses in sos and nonpositive
% 0.19/0.49 clauses in usable.
% 0.19/0.49
% 0.19/0.49 dependent: set(knuth_bendix).
% 0.19/0.49 dependent: set(para_from).
% 0.19/0.49 dependent: set(para_into).
% 0.19/0.49 dependent: clear(para_from_right).
% 0.19/0.49 dependent: clear(para_into_right).
% 0.19/0.49 dependent: set(para_from_vars).
% 0.19/0.49 dependent: set(eq_units_both_ways).
% 0.19/0.49 dependent: set(dynamic_demod_all).
% 0.19/0.49 dependent: set(dynamic_demod).
% 0.19/0.49 dependent: set(order_eq).
% 0.19/0.49 dependent: set(back_demod).
% 0.19/0.49 dependent: set(lrpo).
% 0.19/0.49 dependent: set(hyper_res).
% 0.19/0.49 dependent: set(unit_deletion).
% 0.19/0.49 dependent: set(factor).
% 0.19/0.49
% 0.19/0.49 ------------> process usable:
% 0.19/0.49 Following clause subsumed by 4 during input processing: 0 [] {-} -hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_nat),A)).
% 0.19/0.49 Following clause subsumed by 7 during input processing: 0 [] {-} A=B| -hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_nat),hAPP(c_Suc,B)))|hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_nat),B)).
% 0.19/0.49 Following clause subsumed by 9 during input processing: 0 [] {-} hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),B)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),C),D))!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),D)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),C),B))|B=D|A=C.
% 0.19/0.49 Following clause subsumed by 20 during input processing: 0 [] {-} hAPP(c_Suc,A)!=hAPP(c_Suc,B)|A=B.
% 0.19/0.49 Following clause subsumed by 36 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.
% 0.19/0.49 Following clause subsumed by 48 during input processing: 0 [flip.1] {-} hAPP(hAPP(A,hAPP(hAPP(A,B),C)),D)=hAPP(hAPP(A,B),hAPP(hAPP(A,C),D))| -c_Groebner__Basis_Ogb__semiring(A,E,F,G,H,I).
% 0.19/0.49 Following clause subsumed by 46 during input processing: 0 [] {-} hAPP(hAPP(A,B),C)=hAPP(hAPP(A,C),B)| -c_Groebner__Basis_Ogb__semiring(A,D,E,F,G,H).
% 0.19/0.49 Following clause subsumed by 48 during input processing: 0 [] {-} hAPP(hAPP(A,hAPP(hAPP(A,B),C)),D)=hAPP(hAPP(A,B),hAPP(hAPP(A,C),D))| -c_Groebner__Basis_Ogb__semiring(A,E,F,G,H,I).
% 0.19/0.49 Following clause subsumed by 43 during input processing: 0 [flip.1] {-} hAPP(hAPP(A,hAPP(hAPP(A,B),C)),D)=hAPP(hAPP(A,B),hAPP(hAPP(A,C),D))| -c_Groebner__Basis_Ogb__semiring(E,A,F,G,H,I).
% 0.19/0.49 Following clause subsumed by 43 during input processing: 0 [] {-} hAPP(hAPP(A,hAPP(hAPP(A,B),C)),D)=hAPP(hAPP(A,B),hAPP(hAPP(A,C),D))| -c_Groebner__Basis_Ogb__semiring(E,A,F,G,H,I).
% 0.19/0.49 Following clause subsumed by 53 during input processing: 0 [] {-} hAPP(hAPP(A,hAPP(hAPP(A,B),C)),hAPP(hAPP(A,D),E))=hAPP(hAPP(A,D),hAPP(hAPP(A,hAPP(hAPP(A,B),C)),E))| -c_Groebner__Basis_Ogb__semiring(F,A,G,H,I,J).
% 0.19/0.49 Following clause subsumed by 43 during input processing: 0 [] {-} hAPP(hAPP(A,hAPP(hAPP(A,B),C)),hAPP(hAPP(A,D),E))=hAPP(hAPP(A,B),hAPP(hAPP(A,C),hAPP(hAPP(A,D),E)))| -c_Groebner__Basis_Ogb__semiring(F,A,G,H,I,J).
% 0.19/0.49 Following clause subsumed by 44 during input processing: 0 [] {-} hAPP(hAPP(A,B),C)=C| -c_Groebner__Basis_Ogb__semiring(D,A,E,F,B,G).
% 0.19/0.49 Following clause subsumed by 45 during input processing: 0 [] {-} hAPP(hAPP(A,B),C)=B| -c_Groebner__Basis_Ogb__semiring(D,A,E,B,F,G).
% 0.19/0.49 Following clause subsumed by 41 during input processing: 0 [] {-} hAPP(hAPP(A,B),C)=hAPP(hAPP(A,C),B)| -c_Groebner__Basis_Ogb__semiring(D,A,E,F,G,H).
% 0.19/0.49 Following clause subsumed by 49 during input processing: 0 [] {-} hAPP(hAPP(A,B),C)=C| -c_Groebner__Basis_Ogb__semiring(A,D,E,B,F,G).
% 0.19/0.49 Following clause subsumed by 71 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__semidom(A)|hBOOL(hAPP(c_lessequals(B,tc_nat),C))| -hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(A),D),B),A),hAPP(hAPP(c_Power_Opower__class_Opower(A),D),C)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(A),A),D)).
% 0.19/0.49 Following clause subsumed by 74 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))|C=B.
% 0.19/0.49 Following clause subsumed by 79 during input processing: 0 [] {-} hBOOL(hAPP(c_lessequals(A,tc_nat),B))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_nat),B)).
% 0.19/0.49 Following clause subsumed by 85 during input processing: 0 [] {-} -c_Groebner__Basis_Osemiringb(A,B,C,D,E,F)|hAPP(hAPP(A,hAPP(hAPP(B,G),H)),hAPP(hAPP(B,G),I))=hAPP(hAPP(A,hAPP(hAPP(B,G),I)),hAPP(hAPP(B,G),H)).
% 0.19/0.49 Following clause subsumed by 86 during input processing: 0 [flip.2] {-} -hBOOL(hAPP(c_lessequals(A,tc_nat),B))|hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),B),A)),A)=B.
% 0.19/0.49 Following clause subsumed by 120 during input processing: 0 [] {-} -class_Orderings_Opreorder(A)| -hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),C))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(C,A),B)).
% 0.19/0.49 Following clause subsumed by 134 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__ring__strict(A)|hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C),A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(D,A),C)).
% 0.19/0.49 Following clause subsumed by 136 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__ring__strict(A)|hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C),A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(C,A),D))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),B)).
% 0.19/0.49 Following clause subsumed by 134 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__ring__strict(A)|hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C),A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(D,A),C))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),c_HOL_Ozero__class_Ozero(A))).
% 0.19/0.49 Following clause subsumed by 138 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__ring__strict(A)|hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C),A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),C)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(D,A),B))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(C,A),c_HOL_Ozero__class_Ozero(A))).
% 0.19/0.49 Following clause subsumed by 150 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__semiring__strict(A)|hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C),A),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),C)).
% 0.19/0.49 Following clause subsumed by 158 during input processing: 0 [] {-} -class_Ring__and__Field_Opordered__ring(A)|hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(A),A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)))| -hBOOL(hAPP(c_lessequals(C,A),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_lessequals(B,A),c_HOL_Ozero__class_Ozero(A))).
% 0.19/0.49 Following clause subsumed by 75 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|B=C| -hBOOL(hAPP(c_lessequals(B,A),C))|hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),C)).
% 0.19/0.49 Following clause subsumed by 162 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),C))|B=C| -hBOOL(hAPP(c_lessequals(B,A),C)).
% 0.19/0.49 Following clause subsumed by 163 during input processing: 0 [] {-} A=B|hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_nat),B))| -hBOOL(hAPP(c_lessequals(A,tc_nat),B)).
% 0.19/0.49 Following clause subsumed by 163 during input processing: 0 [] {-} hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_nat),B))|A=B| -hBOOL(hAPP(c_lessequals(A,tc_nat),B)).
% 0.19/0.49 Following clause subsumed by 162 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C|hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),C))| -hBOOL(hAPP(c_lessequals(B,A),C)).
% 0.19/0.49 Following clause subsumed by 162 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),C))|B=C| -hBOOL(hAPP(c_lessequals(B,A),C)).
% 0.19/0.49 Following clause subsumed by 171 during input processing: 0 [] {-} hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),B),tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),C)))| -hBOOL(hAPP(c_lessequals(B,tc_nat),C)).
% 0.19/0.49 Following clause subsumed by 170 during input processing: 0 [] {-} hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),B),tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),C),B)))| -hBOOL(hAPP(c_lessequals(A,tc_nat),C)).
% 0.19/0.49 Following clause subsumed by 172 during input processing: 0 [flip.1] {-} hAPP(c_Suc,A)!=A.
% 0.19/0.49 Following clause subsumed by 174 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__field(A)|c_Deriv_Odifferentiable(B,C,A)| -c_Deriv_Oderiv(B,C,D,A).
% 0.19/0.49 Following clause subsumed by 177 during input processing: 0 [] {-} hAPP(hAPP(A,B),hAPP(c_Suc,C))=hAPP(hAPP(D,B),hAPP(hAPP(A,B),C))| -c_Groebner__Basis_Ogb__semiring(E,D,A,F,G,H).
% 0.19/0.49 Following clause subsumed by 186 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|B=C|hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),C))|hBOOL(hAPP(c_HOL_Oord__class_Oless(C,A),B)).
% 0.19/0.49 Following clause subsumed by 186 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),C))|C=B|hBOOL(hAPP(c_HOL_Oord__class_Oless(C,A),B)).
% 0.19/0.49 Following clause subsumed by 187 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C| -hBOOL(hAPP(c_lessequals(C,A),B))| -hBOOL(hAPP(c_lessequals(B,A),C)).
% 0.19/0.49 Following clause subsumed by 186 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),C))|hBOOL(hAPP(c_HOL_Oord__class_Oless(C,A),B))|C=B.
% 0.19/0.49 Following clause subsumed by 187 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C| -hBOOL(hAPP(c_lessequals(C,A),B))| -hBOOL(hAPP(c_lessequals(B,A),C)).
% 0.19/0.49 Following clause subsumed by 90 during input processing: 0 [] {-} hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)),C)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),B),C))| -hBOOL(hAPP(c_lessequals(C,tc_nat),B)).
% 0.19/0.49 Following clause subsumed by 19 during input processing: 0 [flip.2] {-} -hBOOL(hAPP(c_lessequals(A,tc_nat),B))|hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),C)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),B),A)),C)),D))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),B),C)),D).
% 0.19/0.49 Following clause subsumed by 199 during input processing: 0 [] {-} hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),C)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_nat),B)).
% 0.19/0.49 Following clause subsumed by 200 during input processing: 0 [] {-} hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),C)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_nat),C)).
% 0.19/0.49 Following clause subsumed by 202 during input processing: 0 [] {-} hBOOL(hAPP(c_lessequals(hAPP(c_Suc,A),tc_nat),B))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_nat),B)).
% 0.19/0.50 Following clause subsumed by 203 during input processing: 0 [] {-} hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_nat),B))| -hBOOL(hAPP(c_lessequals(hAPP(c_Suc,A),tc_nat),B)).
% 0.19/0.50 Following clause subsumed by 233 during input processing: 0 [] {-} -class_Ring__and__Field_Opordered__cancel__semiring(A)|hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C),A),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_lessequals(C,A),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(A),A),B)).
% 0.19/0.50 Following clause subsumed by 234 during input processing: 0 [] {-} -class_Ring__and__Field_Opordered__cancel__semiring(A)|hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C),A),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(A),A),C))| -hBOOL(hAPP(c_lessequals(B,A),c_HOL_Ozero__class_Ozero(A))).
% 0.19/0.50 Following clause subsumed by 234 during input processing: 0 [] {-} -class_Ring__and__Field_Opordered__cancel__semiring(A)|hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C),A),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_lessequals(B,A),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(A),A),C)).
% 0.19/0.50 Following clause subsumed by 260 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__field(A)|c_Deriv_Oderiv(c_COMBB(B,C,A,A,A),D,hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),E),F),A)| -c_Deriv_Oderiv(B,hAPP(C,D),E,A)| -c_Deriv_Oderiv(C,D,F,A).
% 0.19/0.50 Following clause subsumed by 302 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),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),C)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),C))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),B)).
% 0.19/0.50 Following clause subsumed by 301 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),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),C)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(C,A),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),c_HOL_Ozero__class_Ozero(A))).
% 0.19/0.50 Following clause subsumed by 312 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(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),C),A),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(C,A),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),B)).
% 0.19/0.50 Following clause subsumed by 311 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(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),C),A),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),C))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),c_HOL_Ozero__class_Ozero(A))).
% 0.19/0.50 Following clause subsumed by 219 during input processing: 0 [] {-} hBOOL(hAPP(c_lessequals(A,tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),C)))| -hBOOL(hAPP(c_lessequals(A,tc_nat),B)).
% 0.19/0.50 Following clause subsumed by 220 during input processing: 0 [] {-} hBOOL(hAPP(c_lessequals(A,tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),C)))| -hBOOL(hAPP(c_lessequals(A,tc_nat),C)).
% 0.19/0.50 Following clause subsumed by 122 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -hBOOL(hAPP(c_lessequals(B,A),B))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),B)).
% 0.19/0.50 Following clause subsumed by 318 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),B))|hBOOL(hAPP(c_lessequals(B,A),B)).
% 0.19/0.50 Following clause subsumed by 318 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(c_lessequals(B,A),C))|hBOOL(hAPP(c_HOL_Oord__class_Oless(C,A),B)).
% 0.19/0.50 Following clause subsumed by 318 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),C))|hBOOL(hAPP(c_lessequals(C,A),B)).
% 0.19/0.50 Following clause subsumed by 319 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -hBOOL(hAPP(c_lessequals(B,A),C))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(C,A),B)).
% 0.19/0.50 Following clause subsumed by 321 during input processing: 0 [] {-} hAPP(hAPP(A,hAPP(hAPP(B,C),D)),hAPP(hAPP(B,E),F))!=hAPP(hAPP(A,hAPP(hAPP(B,C),F)),hAPP(hAPP(B,E),D))|D=F|C=E| -c_Groebner__Basis_Osemiringb(A,B,G,H,I,J).
% 0.19/0.50 Following clause subsumed by 171 during input processing: 0 [] {-} hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),B),tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),C)))| -hBOOL(hAPP(c_lessequals(B,tc_nat),C))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),A)).
% 0.19/0.50 Following clause subsumed by 325 during input processing: 0 [] {-} hBOOL(hAPP(c_lessequals(A,tc_nat),B))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),C))| -hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),C),A),tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),C),B))).
% 0.19/0.50 Following clause subsumed by 175 during input processing: 0 [] {-} hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_nat),B))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(c_Suc,C)),A),tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(c_Suc,C)),B))).
% 0.19/0.50 Following clause subsumed by 171 during input processing: 0 [] {-} hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(c_Suc,A)),B),tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(c_Suc,A)),C)))| -hBOOL(hAPP(c_lessequals(B,tc_nat),C)).
% 0.19/0.50 Following clause subsumed by 175 during input processing: 0 [] {-} hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_nat),B))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),C),A),tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),C),B)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),C)).
% 0.19/0.50 Following clause subsumed by 339 during input processing: 0 [] {-} hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),B),tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),C)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),A))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(B,tc_nat),C)).
% 0.19/0.50 Following clause subsumed by 339 during input processing: 0 [] {-} hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),B),tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),C)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(B,tc_nat),C))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),A)).
% 0.19/0.50 Following clause subsumed by 340 during input processing: 0 [] {-} hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),B),tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),C),B)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_nat),C))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),B)).
% 0.19/0.50 Following clause subsumed by 341 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__semidom(A)|hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(A),A),c_Nat_Osemiring__1__class_Oof__nat(B,A))).
% 0.19/0.50 Following clause subsumed by 344 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)).
% 0.19/0.50 Following clause subsumed by 392 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_Power_Opower__class_Opower(A),B),hAPP(c_Suc,C))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C)).
% 0.19/0.50 Following clause subsumed by 392 during input processing: 0 [flip.2] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_Power_Opower__class_Opower(A),B),hAPP(c_Suc,C))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C)).
% 0.19/0.51 Following clause subsumed by 4 during input processing: 0 [] {-} -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.19/0.51 Following clause subsumed by 503 during input processing: 0 [] {-} hAPP(c_Suc,A)!=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.19/0.51 Following clause subsumed by 504 during input processing: 0 [] {-} hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),B)!=hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),C)|A=c_HOL_Ozero__class_Ozero(tc_nat)|B=C.
% 0.19/0.51 Following clause subsumed by 506 during input processing: 0 [] {-} -hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_nat),c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.19/0.51 Following clause subsumed by 513 during input processing: 0 [] {-} hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)!=A|B=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.19/0.51 Following clause subsumed by 514 during input processing: 0 [] {-} c_HOL_Ozero__class_Ozero(tc_nat)!=hAPP(c_Suc,A).
% 0.19/0.51 Following clause subsumed by 515 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__semidom(A)|hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C),A),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),D)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(A),A),B))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(C,tc_nat),D)).
% 0.19/0.51 Following clause subsumed by 516 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__semidom(A)|hBOOL(hAPP(c_HOL_Oord__class_Oless(B,tc_nat),C))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(A),D),B),A),hAPP(hAPP(c_Power_Opower__class_Opower(A),D),C)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(A),A),D)).
% 0.19/0.51 Following clause subsumed by 527 during input processing: 0 [] {-} -hBOOL(hAPP(A,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),C)),B)))|hBOOL(hAPP(A,C)).
% 0.19/0.51 Following clause subsumed by 549 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),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),C),D)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),D))| -hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D),A),C)).
% 0.19/0.51 Following clause subsumed by 550 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),C),A),D))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),C))| -hBOOL(hAPP(c_lessequals(B,A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),C))).
% 0.19/0.51 Following clause subsumed by 565 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)|hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C)),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),D))=hAPP(hAPP(c_Power_Opower__class_Opower(A),B),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),C),D))| -hBOOL(hAPP(c_lessequals(D,tc_nat),C))|B=c_HOL_Ozero__class_Ozero(A).
% 0.19/0.51 Following clause subsumed by 591 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)).
% 0.19/0.51 Following clause subsumed by 591 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)).
% 0.19/0.51 Following clause subsumed by 595 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)).
% 0.19/0.51 Following clause subsumed by 596 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)).
% 0.19/0.51 Following clause subsumed by 631 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),C),B).
% 0.19/0.51 Following clause subsumed by 637 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.
% 0.19/0.51 Following clause subsumed by 641 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),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),C)),C)=B|C=c_HOL_Ozero__class_Ozero(A).
% 0.19/0.51 Following clause subsumed by 644 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).
% 0.19/0.51 Following clause subsumed by 645 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).
% 0.19/0.51 Following clause subsumed by 642 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).
% 0.19/0.51 Following clause subsumed by 636 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_HOL_Ozero__class_Ozero(A)),B)),B)=c_HOL_Ozero__class_Ozero(A).
% 0.19/0.51 Following clause subsumed by 673 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)|B=c_HOL_Ozero__class_Ozero(A)|hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),C),B)),B)=C.
% 0.19/0.51 Following clause subsumed by 673 during input processing: 0 [flip.3] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)),C)=B|C=c_HOL_Ozero__class_Ozero(A).
% 0.19/0.51 Following clause subsumed by 673 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)),C)=B|C=c_HOL_Ozero__class_Ozero(A).
% 0.19/0.51 Following clause subsumed by 592 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)).
% 0.19/0.51 Following clause subsumed by 591 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))).
% 0.19/0.51 Following clause subsumed by 618 during input processing: 0 [flip.2] {-} -class_Ring__and__Field_Ozero__neq__one(A)|c_HOL_Ozero__class_Ozero(A)!=c_HOL_Oone__class_Oone(A).
% 0.19/0.51 Following clause subsumed by 676 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).
% 0.19/0.52 Following clause subsumed by 681 during input processing: 0 [] {-} -class_OrderedGroup_Ogroup__add(A)|hAPP(hAPP(c_HOL_Ominus__class_Ominus(A),B),B)=c_HOL_Ozero__class_Ozero(A).
% 0.19/0.52 Following clause subsumed by 626 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).
% 0.19/0.52 Following clause subsumed by 689 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.
% 0.19/0.52 Following clause subsumed by 693 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)).
% 0.19/0.52 Following clause subsumed by 695 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).
% 0.19/0.52 Following clause subsumed by 700 during input processing: 0 [flip.2] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C)),D)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),C),D)).
% 0.19/0.52 Following clause subsumed by 700 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)).
% 0.19/0.52 Following clause subsumed by 706 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)|hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),B)=c_HOL_Oone__class_Oone(A)|B=c_HOL_Ozero__class_Ozero(A).
% 0.19/0.52 Following clause subsumed by 706 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),B)=c_HOL_Oone__class_Oone(A)|B=c_HOL_Ozero__class_Ozero(A).
% 0.19/0.52 Following clause subsumed by 718 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)).
% 0.19/0.52 Following clause subsumed by 719 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)).
% 0.19/0.52 Following clause subsumed by 655 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),c_HOL_Ozero__class_Ozero(A))=c_HOL_Ozero__class_Ozero(A).
% 0.19/0.52 Following clause subsumed by 655 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),c_HOL_Ozero__class_Ozero(A))=c_HOL_Ozero__class_Ozero(A).
% 0.19/0.52 Following clause subsumed by 733 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),c_HOL_Ozero__class_Ozero(A)),B)=B.
% 0.19/0.52 30 back subsumes 28.
% 0.19/0.52 199 back subsumes 72.
% 0.19/0.52 200 back subsumes 73.
% 0.19/0.52 330 back subsumes 98.
% 0.19/0.52 433 back subsumes 430.
% 0.19/0.52 434 back subsumes 432.
% 0.19/0.52 Following clause subsumed by 514 during input processing: 0 [copy,503,flip.1] {-} c_HOL_Ozero__class_Ozero(tc_nat)!=hAPP(c_Suc,A).
% 0.19/0.52 Following clause subsumed by 503 during input processing: 0 [copy,514,flip.1] {-} hAPP(c_Suc,A)!=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.19/0.52 525 back subsumes 485.
% 0.19/0.53 531 back subsumes 530.
% 0.19/0.53 655 back subsumes 609.
% 0.19/0.53 665 back subsumes 622.
% 0.19/0.53 794 back subsumes 793.
% 0.19/0.53 Following clause subsumed by 538 during input processing: 0 [copy,908,flip.1] {-} c_FFT__Mirabelle_Oroot(A)!=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex).
% 0.19/0.53
% 0.19/0.53 ------------> process sos:
% 0.19/0.53 Following clause subsumed by 962 during input processing: 0 [] {-} hBOOL(hAPP(c_lessequals(A,tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B))).
% 0.19/0.53 Following clause subsumed by 962 during input processing: 0 [] {-} hBOOL(hAPP(c_lessequals(A,tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B))).
% 0.19/0.53 Following clause subsumed by 964 during input processing: 0 [] {-} hBOOL(hAPP(c_lessequals(A,tc_nat),A)).
% 0.19/0.53 Following clause subsumed by 954 during input processing: 0 [] {-} hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_nat),hAPP(c_Suc,A))).
% 0.19/0.53 Following clause subsumed by 954 during input processing: 0 [] {-} hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_nat),hAPP(c_Suc,A))).
% 0.19/0.53 Following clause subsumed by 969 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)).
% 0.19/0.53 Following clause subsumed by 969 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.
% 0.19/0.53 Following clause subsumed by 976 during input processing: 0 [] {-} hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_nat),hAPP(c_Suc,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)))).
% 0.19/0.53 Following clause subsumed by 966 during input processing: 0 [demod,945,949] {-} hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))=hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)).
% 0.19/0.53 Following clause subsumed by 979 during input processing: 0 [demod,959,959] {-} hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),C))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),C),B)).
% 0.19/0.53 Following clause subsumed by 986 during input processing: 0 [] {-} hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),hAPP(c_Suc,A))).
% 0.19/0.53 Following clause subsumed by 964 during input processing: 0 [] {-} hBOOL(hAPP(c_lessequals(hAPP(c_Suc,A),tc_nat),hAPP(c_Suc,A))).
% 0.19/0.53 Following clause subsumed by 964 during input processing: 0 [] {-} hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.19/0.53 Following clause subsumed by 1001 during input processing: 0 [demod,999,999] {-} c_HOL_Ozero__class_Ozero(tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.19/0.53 Following clause subsumed by 994 during input processing: 0 [] {-} hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),v_i),A),tc_nat),v_n)).
% 0.19/0.53 Following clause subsumed by 993 during input processing: 0 [] {-} hBOOL(hAPP(c_HOL_Oord__class_Oless(v_i,tc_nat),v_n)).
% 0.19/0.53 Following clause subsumed by 1049 during input processing: 0 [] {-} hAPP(c_COMBS(A,B,C,D,E),F)=hAPP(hAPP(A,F),hAPP(B,F)).
% 0.19/0.53 Following clause subsumed by 1048 during input processing: 0 [] {-} hAPP(hAPP(c_COMBC(A,B,C,D),E),F)=hAPP(hAPP(A,F),E).
% 0.19/0.53 Following clause subsumed by 1009 during input processing: 0 [demod,1047] {-} hAPP(A,hAPP(B,F))=hAPP(A,hAPP(B,F)).
% 0.19/0.53 Following clause subsumed by 1009 during input processing: 0 [] {-} A=A.
% 0.19/0.53 Following clause subsumed by 941 during input processing: 0 [copy,941,flip.1] {-} hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),A).
% 0.19/0.53 Following clause subsumed by 1009 during input processing: 0 [copy,951,flip.1] {-} hAPP(c_Suc,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B))=hAPP(c_Suc,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)).
% 0.19/0.53 954 back subsumes 940.
% 0.19/0.53 964 back subsumes 905.
% 0.19/0.53 Following clause subsumed by 1009 during input processing: 0 [copy,966,flip.1] {-} hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))=hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)).
% 0.19/0.54 Following clause subsumed by 979 during input processing: 0 [copy,979,flip.1] {-} hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),C))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),C),B)).
% 0.19/0.54 Following clause subsumed by 982 during input processing: 0 [copy,982,flip.1] {-} hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),B)=hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),B),A).
% 0.19/0.54 Following clause subsumed by 985 during input processing: 0 [copy,985,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)).
% 0.19/0.54 Following clause subsumed by 1009 during input processing: 0 [copy,1001,flip.1] {-} c_HOL_Ozero__class_Ozero(tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.19/0.54 Following clause subsumed by 1009 during input processing: 0 [copy,1009,flip.1] {-} A=A.
% 0.19/0.54 1009 back subsumes 1001.
% 0.19/0.54 1009 back subsumes 966.
% 0.19/0.54 1009 back subsumes 951.
% 0.19/0.54 1009 back subsumes 927.
% 0.19/0.54 1009 back subsumes 920.
% 0.19/0.54 1009 back subsumes 917.
% 0.19/0.54 1009 back subsumes 906.
% 0.19/0.54 1009 back subsumes 860.
% 0.19/0.54 1009 back subsumes 782.
% 0.19/0.54 1009 back subsumes 781.
% 0.19/0.54 1009 back subsumes 780.
% 0.19/0.54 1009 back subsumes 779.
% 0.19/0.54 1009 back subsumes 778.
% 0.19/0.54 1009 back subsumes 777.
% 0.19/0.54 Following clause subsumed by 1052 during input processing: 0 [copy,1052,flip.1] {-} hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),A),B)),C)=hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),A),C)),B).
% 0.19/0.54 Following clause subsumed by 956 during input processing: 0 [copy,1126,flip.1] {-} hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)),C)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),C)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),B),C)).
% 0.19/0.54 Following clause subsumed by 975 during input processing: 0 [copy,1127,flip.1] {-} hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(c_Suc,A)),B)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),B)).
% 0.19/0.54 Following clause subsumed by 992 during input processing: 0 [copy,1128,flip.1] {-} hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B))=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.19/0.54 Following clause subsumed by 1020 during input processing: 0 [copy,1130,flip.1] {-} hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),A),B)),C)=hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),C)).
% 0.19/0.54 Following clause subsumed by 1022 during input processing: 0 [copy,1131,flip.1] {-} hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),A),B)),C)=hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),C)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),B),C)).
% 0.19/0.54 Following clause subsumed by 1043 during input processing: 0 [copy,1132,flip.1] {-} hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),A),A)=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.19/0.54 Following clause subsumed by 1048 during input processing: 0 [copy,1133,flip.1] {-} hAPP(hAPP(c_COMBC(A,B,C,D),E),F)=hAPP(hAPP(A,F),E).
% 0.19/0.54 Following clause subsumed by 1049 during input processing: 0 [copy,1134,flip.1] {-} hAPP(c_COMBS(A,B,C,D,E),F)=hAPP(hAPP(A,F),hAPP(B,F)).
% 0.19/0.54
% 0.19/0.54 ======= end of input processing =======
% 1.35/1.53
% 1.35/1.53 Stopped by limit on insertions
% 1.35/1.53
% 1.35/1.53
% 1.35/1.53
% 1.35/1.53 Aborting on detection of an error:
% 1.35/1.53
% 1.35/1.53 Too many clauses (whew!).
% 1.35/1.53
%------------------------------------------------------------------------------