TSTP Solution File: SWV612-1 by SOS---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : SWV612-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n016.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 21:39:39 EDT 2022
% Result : Unknown 0.59s 0.83s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV612-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.12 % Command : sos-script %s
% 0.12/0.33 % Computer : n016.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Tue Jun 14 20:39:16 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.47 ----- Otter 3.2, August 2001 -----
% 0.19/0.47 The process was started by sandbox on n016.cluster.edu,
% 0.19/0.47 Tue Jun 14 20:39:16 2022
% 0.19/0.47 The command was "./sos". The process ID is 9657.
% 0.19/0.47
% 0.19/0.47 set(prolog_style_variables).
% 0.19/0.47 set(auto).
% 0.19/0.47 dependent: set(auto1).
% 0.19/0.47 dependent: set(process_input).
% 0.19/0.47 dependent: clear(print_kept).
% 0.19/0.47 dependent: clear(print_new_demod).
% 0.19/0.47 dependent: clear(print_back_demod).
% 0.19/0.47 dependent: clear(print_back_sub).
% 0.19/0.47 dependent: set(control_memory).
% 0.19/0.47 dependent: assign(max_mem, 12000).
% 0.19/0.47 dependent: assign(pick_given_ratio, 4).
% 0.19/0.47 dependent: assign(stats_level, 1).
% 0.19/0.47 dependent: assign(pick_semantic_ratio, 3).
% 0.19/0.47 dependent: assign(sos_limit, 5000).
% 0.19/0.47 dependent: assign(max_weight, 60).
% 0.19/0.47 clear(print_given).
% 0.19/0.47
% 0.19/0.47 list(usable).
% 0.19/0.47
% 0.19/0.47 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=7.
% 0.19/0.47
% 0.19/0.47 This ia a non-Horn set with equality. The strategy will be
% 0.19/0.47 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.19/0.47 unit deletion, with positive clauses in sos and nonpositive
% 0.19/0.47 clauses in usable.
% 0.19/0.47
% 0.19/0.47 dependent: set(knuth_bendix).
% 0.19/0.47 dependent: set(para_from).
% 0.19/0.47 dependent: set(para_into).
% 0.19/0.47 dependent: clear(para_from_right).
% 0.19/0.47 dependent: clear(para_into_right).
% 0.19/0.47 dependent: set(para_from_vars).
% 0.19/0.47 dependent: set(eq_units_both_ways).
% 0.19/0.47 dependent: set(dynamic_demod_all).
% 0.19/0.47 dependent: set(dynamic_demod).
% 0.19/0.47 dependent: set(order_eq).
% 0.19/0.47 dependent: set(back_demod).
% 0.19/0.47 dependent: set(lrpo).
% 0.19/0.47 dependent: set(hyper_res).
% 0.19/0.47 dependent: set(unit_deletion).
% 0.19/0.47 dependent: set(factor).
% 0.19/0.47
% 0.19/0.47 ------------> process usable:
% 0.19/0.47 Following clause subsumed by 3 during input processing: 0 [] {-} hBOOL(hAPP(c_lessequals(A,tc_nat),B))| -hBOOL(hAPP(c_lessequals(c_HOL_Otimes__class_Otimes(C,A,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(C,B,tc_nat)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),C)).
% 0.19/0.47 Following clause subsumed by 15 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)).
% 0.19/0.47 Following clause subsumed by 14 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)).
% 0.19/0.47 Following clause subsumed by 15 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)).
% 0.19/0.47 Following clause subsumed by 14 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)).
% 0.19/0.47 Following clause subsumed by 15 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)).
% 0.19/0.47 Following clause subsumed by 21 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Otimes__class_Otimes(B,C,A)=c_HOL_Otimes__class_Otimes(C,B,A).
% 0.19/0.47 Following clause subsumed by 22 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(c_Power_Opower__class_Opower(B,A),c_Suc(C))=c_HOL_Otimes__class_Otimes(B,hAPP(c_Power_Opower__class_Opower(B,A),C),A).
% 0.19/0.47 Following clause subsumed by 47 during input processing: 0 [] {-} hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_nat),B))| -hBOOL(hAPP(c_lessequals(c_Suc(A),tc_nat),B)).
% 0.19/0.47 Following clause subsumed by 48 during input processing: 0 [] {-} hBOOL(hAPP(c_lessequals(c_Suc(A),tc_nat),B))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_nat),B)).
% 0.19/0.47 Following clause subsumed by 88 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),c_HOL_Oinverse__class_Oinverse(B,A)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),B)).
% 0.19/0.47 Following clause subsumed by 58 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(c_lessequals(B,A),c_HOL_Oinverse__class_Odivide(C,c_Int_Onumber__class_Onumber__of(D,A),A)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),c_Int_Onumber__class_Onumber__of(D,A)))| -hBOOL(hAPP(c_lessequals(c_HOL_Otimes__class_Otimes(B,c_Int_Onumber__class_Onumber__of(D,A),A),A),C)).
% 0.19/0.47 Following clause subsumed by 55 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(c_lessequals(c_HOL_Otimes__class_Otimes(B,c_Int_Onumber__class_Onumber__of(C,A),A),A),D))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),c_Int_Onumber__class_Onumber__of(C,A)))| -hBOOL(hAPP(c_lessequals(B,A),c_HOL_Oinverse__class_Odivide(D,c_Int_Onumber__class_Onumber__of(C,A),A))).
% 0.19/0.47 Following clause subsumed by 57 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(c_lessequals(c_HOL_Oinverse__class_Odivide(B,c_Int_Onumber__class_Onumber__of(C,A),A),A),D))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),c_Int_Onumber__class_Onumber__of(C,A)))| -hBOOL(hAPP(c_lessequals(B,A),c_HOL_Otimes__class_Otimes(D,c_Int_Onumber__class_Onumber__of(C,A),A))).
% 0.19/0.47 Following clause subsumed by 53 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(c_lessequals(B,A),c_HOL_Otimes__class_Otimes(C,c_Int_Onumber__class_Onumber__of(D,A),A)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),c_Int_Onumber__class_Onumber__of(D,A)))| -hBOOL(hAPP(c_lessequals(c_HOL_Oinverse__class_Odivide(B,c_Int_Onumber__class_Onumber__of(D,A),A),A),C)).
% 0.19/0.47 Following clause subsumed by 96 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__ring__strict(A)|hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(B,C,A),A),c_HOL_Otimes__class_Otimes(D,C,A)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(C,A),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(D,A),B)).
% 0.19/0.47 Following clause subsumed by 99 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__ring__strict(A)|hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(B,C,A),A),c_HOL_Otimes__class_Otimes(B,D,A)))| -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)).
% 0.19/0.47 Following clause subsumed by 100 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__ring__strict(A)|hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(B,C,A),A),c_HOL_Otimes__class_Otimes(B,D,A)))| -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)).
% 0.19/0.47 Following clause subsumed by 99 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__ring__strict(A)|hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(B,C,A),A),c_HOL_Otimes__class_Otimes(B,D,A)))| -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))).
% 0.19/0.47 Following clause subsumed by 104 during input processing: 0 [] {-} hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(A,B,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(A,C,tc_nat)))| -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)).
% 0.19/0.47 Following clause subsumed by 104 during input processing: 0 [] {-} hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(A,B,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(A,C,tc_nat)))| -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)).
% 0.19/0.47 Following clause subsumed by 106 during input processing: 0 [] {-} hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(A,B,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(C,B,tc_nat)))| -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)).
% 0.19/0.47 Following clause subsumed by 110 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.
% 0.19/0.47 Following clause subsumed by 110 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.
% 0.19/0.47 Following clause subsumed by 110 during input processing: 0 [] {-} -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(B,A),A)=B.
% 0.19/0.47 Following clause subsumed by 112 during input processing: 0 [] {-} hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Suc(A),tc_nat),c_Suc(B)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_nat),B)).
% 0.19/0.47 Following clause subsumed by 114 during input processing: 0 [] {-} -class_OrderedGroup_Opordered__ab__group__add(A)|hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(B,A),A),C))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(C,A),A),B)).
% 0.19/0.47 Following clause subsumed by 115 during input processing: 0 [] {-} -class_OrderedGroup_Opordered__ab__group__add(A)|hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),c_HOL_Ouminus__class_Ouminus(C,A)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(C,A),c_HOL_Ouminus__class_Ouminus(B,A))).
% 0.19/0.47 Following clause subsumed by 116 during input processing: 0 [] {-} -class_OrderedGroup_Opordered__ab__group__add(A)|hBOOL(hAPP(c_lessequals(c_HOL_Ouminus__class_Ouminus(B,A),A),C))| -hBOOL(hAPP(c_lessequals(c_HOL_Ouminus__class_Ouminus(C,A),A),B)).
% 0.19/0.47 Following clause subsumed by 117 during input processing: 0 [] {-} -class_OrderedGroup_Opordered__ab__group__add(A)|hBOOL(hAPP(c_lessequals(B,A),c_HOL_Ouminus__class_Ouminus(C,A)))| -hBOOL(hAPP(c_lessequals(C,A),c_HOL_Ouminus__class_Ouminus(B,A))).
% 0.19/0.47 Following clause subsumed by 120 during input processing: 0 [] {-} -class_Ring__and__Field_Odivision__ring(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oinverse__class_Oinverse(B,A)!=c_HOL_Ozero__class_Ozero(A)|B=c_HOL_Ozero__class_Ozero(A).
% 0.19/0.47 Following clause subsumed by 119 during input processing: 0 [flip.2] {-} -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(A),A)=c_HOL_Ozero__class_Ozero(A).
% 0.19/0.47 Following clause subsumed by 126 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|c_HOL_Otimes__class_Otimes(B,c_HOL_Ozero__class_Ozero(A),A)=c_HOL_Ozero__class_Ozero(A).
% 0.19/0.47 Following clause subsumed by 127 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(A),B,A)=c_HOL_Ozero__class_Ozero(A).
% 0.19/0.47 Following clause subsumed by 125 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(A),B,A)=c_HOL_Ozero__class_Ozero(A).
% 0.19/0.47 Following clause subsumed by 133 during input processing: 0 [] {-} -class_Ring__and__Field_Odivision__ring(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(A),A)=c_HOL_Ozero__class_Ozero(A).
% 0.19/0.47 Following clause subsumed by 137 during input processing: 0 [] {-} -class_Ring__and__Field_Ono__zero__divisors(A)|c_HOL_Otimes__class_Otimes(B,C,A)!=c_HOL_Ozero__class_Ozero(A)|B=c_HOL_Ozero__class_Ozero(A)|C=c_HOL_Ozero__class_Ozero(A).
% 0.19/0.47 Following clause subsumed by 148 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C| -hBOOL(hAPP(c_lessequals(C,A),B))| -hBOOL(hAPP(c_lessequals(B,A),C)).
% 0.19/0.47 Following clause subsumed by 148 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C| -hBOOL(hAPP(c_lessequals(B,A),C))| -hBOOL(hAPP(c_lessequals(C,A),B)).
% 0.19/0.47 Following clause subsumed by 149 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)).
% 0.19/0.47 Following clause subsumed by 149 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)).
% 0.19/0.47 Following clause subsumed by 149 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|B=C|hBOOL(hAPP(c_HOL_Oord__class_Oless(C,A),B))|hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),C)).
% 0.19/0.47 Following clause subsumed by 175 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__semiring__strict(A)|hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(B,C,A),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)).
% 0.19/0.47 Following clause subsumed by 188 during input processing: 0 [] {-} c_Suc(A)!=A.
% 0.19/0.47 Following clause subsumed by 195 during input processing: 0 [] {-} hBOOL(hAPP(c_lessequals(c_HOL_Otimes__class_Otimes(A,B,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(A,C,tc_nat)))| -hBOOL(hAPP(c_lessequals(B,tc_nat),C)).
% 0.19/0.47 Following clause subsumed by 194 during input processing: 0 [] {-} hBOOL(hAPP(c_lessequals(c_HOL_Otimes__class_Otimes(A,B,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(C,B,tc_nat)))| -hBOOL(hAPP(c_lessequals(A,tc_nat),C)).
% 0.19/0.47 Following clause subsumed by 58 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(c_lessequals(c_Int_Onumber__class_Onumber__of(B,A),A),c_HOL_Oinverse__class_Odivide(C,D,A)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),D))| -hBOOL(hAPP(c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(B,A),D,A),A),C)).
% 0.19/0.47 Following clause subsumed by 55 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(B,A),C,A),A),D))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),C))| -hBOOL(hAPP(c_lessequals(c_Int_Onumber__class_Onumber__of(B,A),A),c_HOL_Oinverse__class_Odivide(D,C,A))).
% 0.19/0.47 Following clause subsumed by 204 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)).
% 0.19/0.47 Following clause subsumed by 205 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)).
% 0.19/0.47 Following clause subsumed by 205 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)).
% 0.19/0.47 Following clause subsumed by 204 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)).
% 0.19/0.47 Following clause subsumed by 204 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),C))| -hBOOL(hAPP(c_lessequals(B,A),C))|B=C.
% 0.19/0.47 Following clause subsumed by 206 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|B=C|hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),C))| -hBOOL(hAPP(c_lessequals(B,A),C)).
% 0.19/0.47 Following clause subsumed by 207 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),C))|C=B| -hBOOL(hAPP(c_lessequals(B,A),C)).
% 0.19/0.47 Following clause subsumed by 211 during input processing: 0 [] {-} -class_Ring__and__Field_Opordered__ring(A)|hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(A),A),c_HOL_Otimes__class_Otimes(B,C,A)))| -hBOOL(hAPP(c_lessequals(C,A),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_lessequals(B,A),c_HOL_Ozero__class_Ozero(A))).
% 0.19/0.47 Following clause subsumed by 239 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|c_HOL_Otimes__class_Otimes(B,c_HOL_Ominus__class_Ominus(C,D,A),A)=c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(B,D,A),A).
% 0.19/0.47 Following clause subsumed by 240 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(B,C,A),D,A)=c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(B,D,A),c_HOL_Otimes__class_Otimes(C,D,A),A).
% 0.19/0.48 Following clause subsumed by 250 during input processing: 0 [flip.4] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(B,c_Int_Onumber__class_Onumber__of(C,A),A),c_Int_Onumber__class_Onumber__of(C,A),A)=B|c_Int_Onumber__class_Onumber__of(C,A)=c_HOL_Ozero__class_Ozero(A).
% 0.19/0.48 Following clause subsumed by 249 during input processing: 0 [flip.4] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(B,A),C,A),C,A)=c_Int_Onumber__class_Onumber__of(B,A)|C=c_HOL_Ozero__class_Ozero(A).
% 0.19/0.48 Following clause subsumed by 267 during input processing: 0 [flip.5] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_Int_Onumber__class_Onumber__of(B,A)!=c_HOL_Ozero__class_Ozero(A)|c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(B,A),C,A),C,A)=c_Int_Onumber__class_Onumber__of(B,A).
% 0.19/0.48 Following clause subsumed by 278 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(B,A),c_HOL_Oinverse__class_Odivide(C,D,A)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),D))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(B,D,A),A),C)).
% 0.19/0.48 Following clause subsumed by 279 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(B,C,A),A),D))| -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_Otimes__class_Otimes(D,C,A))).
% 0.19/0.48 Following clause subsumed by 283 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(B,c_Int_Onumber__class_Onumber__of(C,A),A),c_Int_Onumber__class_Onumber__of(C,A),A)=B|c_Int_Onumber__class_Onumber__of(C,A)=c_HOL_Ozero__class_Ozero(A).
% 0.19/0.48 Following clause subsumed by 247 during input processing: 0 [flip.4] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(B,A),A),c_Int_Onumber__class_Onumber__of(B,A),A)=c_HOL_Ozero__class_Ozero(A).
% 0.19/0.48 Following clause subsumed by 298 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(A),B,A)=B.
% 0.19/0.48 Following clause subsumed by 302 during input processing: 0 [] {-} c_Suc(A)!=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.19/0.48 Following clause subsumed by 310 during input processing: 0 [flip.2] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(B,C,A),D,A)=c_HOL_Otimes__class_Otimes(B,c_HOL_Otimes__class_Otimes(C,D,A),A).
% 0.19/0.48 Following clause subsumed by 310 during input processing: 0 [flip.2] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(B,C,A),D,A)=c_HOL_Otimes__class_Otimes(B,c_HOL_Otimes__class_Otimes(C,D,A),A).
% 0.19/0.48 Following clause subsumed by 312 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__semidom(A)|hBOOL(hAPP(c_lessequals(B,tc_nat),C))| -hBOOL(hAPP(c_lessequals(hAPP(c_Power_Opower__class_Opower(D,A),B),A),hAPP(c_Power_Opower__class_Opower(D,A),C)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(A),A),D)).
% 0.19/0.48 Following clause subsumed by 57 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(c_lessequals(c_HOL_Oinverse__class_Odivide(B,C,A),A),c_Int_Onumber__class_Onumber__of(D,A)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),C))| -hBOOL(hAPP(c_lessequals(B,A),c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(D,A),C,A))).
% 0.19/0.48 Following clause subsumed by 53 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(c_lessequals(B,A),c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(C,A),D,A)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),D))| -hBOOL(hAPP(c_lessequals(c_HOL_Oinverse__class_Odivide(B,D,A),A),c_Int_Onumber__class_Onumber__of(C,A))).
% 0.19/0.48 Following clause subsumed by 320 during input processing: 0 [flip.2] {-} -class_RealVector_Oreal__normed__algebra(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(B,C,A),A)=c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(B,A),C,A).
% 0.19/0.48 Following clause subsumed by 322 during input processing: 0 [flip.2] {-} -class_RealVector_Oreal__normed__algebra(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(B,C,A),A)=c_HOL_Otimes__class_Otimes(B,c_HOL_Ouminus__class_Ouminus(C,A),A).
% 0.19/0.48 Following clause subsumed by 344 during input processing: 0 [] {-} -class_Ring__and__Field_Opordered__cancel__semiring(A)|hBOOL(hAPP(c_lessequals(c_HOL_Otimes__class_Otimes(B,C,A),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)).
% 0.19/0.48 Following clause subsumed by 345 during input processing: 0 [] {-} -class_Ring__and__Field_Opordered__cancel__semiring(A)|hBOOL(hAPP(c_lessequals(c_HOL_Otimes__class_Otimes(B,C,A),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))).
% 0.19/0.48 Following clause subsumed by 345 during input processing: 0 [] {-} -class_Ring__and__Field_Opordered__cancel__semiring(A)|hBOOL(hAPP(c_lessequals(c_HOL_Otimes__class_Otimes(B,C,A),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)).
% 0.19/0.48 Following clause subsumed by 281 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(C,A),D,A)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),D))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(B,D,A),A),c_Int_Onumber__class_Onumber__of(C,A))).
% 0.19/0.48 Following clause subsumed by 279 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(B,C,A),A),c_Int_Onumber__class_Onumber__of(D,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_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(D,A),C,A))).
% 0.19/0.48 Following clause subsumed by 69 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(c_lessequals(c_HOL_Oinverse__class_Odivide(B,c_Int_Onumber__class_Onumber__of(C,A),A),A),D))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(C,A),A),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_lessequals(c_HOL_Otimes__class_Otimes(D,c_Int_Onumber__class_Onumber__of(C,A),A),A),B))| -hBOOL(hAPP(c_lessequals(B,A),c_HOL_Otimes__class_Otimes(D,c_Int_Onumber__class_Onumber__of(C,A),A))).
% 0.19/0.48 Following clause subsumed by 70 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(c_lessequals(B,A),c_HOL_Oinverse__class_Odivide(C,c_Int_Onumber__class_Onumber__of(D,A),A)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(D,A),A),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_lessequals(C,A),c_HOL_Otimes__class_Otimes(B,c_Int_Onumber__class_Onumber__of(D,A),A)))| -hBOOL(hAPP(c_lessequals(c_HOL_Otimes__class_Otimes(B,c_Int_Onumber__class_Onumber__of(D,A),A),A),C)).
% 0.19/0.48 Following clause subsumed by 260 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(B,c_Int_Onumber__class_Onumber__of(C,A),A),A),D))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(C,A),A),c_HOL_Ozero__class_Ozero(A)))|hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),c_Int_Onumber__class_Onumber__of(C,A)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(D,c_Int_Onumber__class_Onumber__of(C,A),A),A),B)).
% 0.19/0.48 Following clause subsumed by 259 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(B,c_Int_Onumber__class_Onumber__of(C,A),A),A),D))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(C,A),A),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(D,c_Int_Onumber__class_Onumber__of(C,A),A),A),B))|hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),c_Int_Onumber__class_Onumber__of(C,A))).
% 0.19/0.48 Following clause subsumed by 256 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),c_HOL_Otimes__class_Otimes(C,c_Int_Onumber__class_Onumber__of(D,A),A)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(D,A),A),c_HOL_Ozero__class_Ozero(A)))|hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),c_Int_Onumber__class_Onumber__of(D,A)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(C,A),c_HOL_Oinverse__class_Odivide(B,c_Int_Onumber__class_Onumber__of(D,A),A))).
% 0.19/0.48 Following clause subsumed by 255 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),c_HOL_Oinverse__class_Odivide(C,c_Int_Onumber__class_Onumber__of(D,A),A)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(D,A),A),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(C,A),c_HOL_Otimes__class_Otimes(B,c_Int_Onumber__class_Onumber__of(D,A),A)))|hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),c_Int_Onumber__class_Onumber__of(D,A))).
% 0.19/0.48 Following clause subsumed by 362 during input processing: 0 [] {-} -hBOOL(hAPP(c_lessequals(A,tc_nat),A))|hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_nat),c_Suc(A))).
% 0.19/0.48 Following clause subsumed by 69 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(c_lessequals(c_HOL_Oinverse__class_Odivide(B,C,A),A),c_Int_Onumber__class_Onumber__of(D,A)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(C,A),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(D,A),C,A),A),B))| -hBOOL(hAPP(c_lessequals(B,A),c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(D,A),C,A))).
% 0.19/0.48 Following clause subsumed by 258 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(B,C,A),A),c_Int_Onumber__class_Onumber__of(D,A)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),c_Int_Onumber__class_Onumber__of(D,A)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(D,A),C,A),A),B))|hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),C)).
% 0.19/0.48 Following clause subsumed by 303 during input processing: 0 [] {-} c_HOL_Otimes__class_Otimes(A,B,tc_nat)!=c_HOL_Otimes__class_Otimes(A,C,tc_nat)|A=c_HOL_Ozero__class_Ozero(tc_nat)|B=C.
% 0.19/0.48 Following clause subsumed by 383 during input processing: 0 [] {-} -hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_nat),c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.19/0.48 Following clause subsumed by 302 during input processing: 0 [flip.1] {-} c_Suc(A)!=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.19/0.48 Following clause subsumed by 302 during input processing: 0 [flip.1] {-} c_Suc(A)!=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.19/0.48 Following clause subsumed by 386 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__semidom(A)|hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(c_Power_Opower__class_Opower(B,A),C),A),hAPP(c_Power_Opower__class_Opower(B,A),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)).
% 0.19/0.48 Following clause subsumed by 387 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(c_Power_Opower__class_Opower(D,A),B),A),hAPP(c_Power_Opower__class_Opower(D,A),C)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(A),A),D)).
% 0.19/0.48 Following clause subsumed by 455 during input processing: 0 [flip.3] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(B,C,A),C,A)=B|C=c_HOL_Ozero__class_Ozero(A).
% 0.19/0.48 Following clause subsumed by 445 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(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(A),B,A),B,A)=c_HOL_Ozero__class_Ozero(A).
% 0.19/0.48 Following clause subsumed by 257 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(B,C,A),A),c_Int_Onumber__class_Onumber__of(D,A)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),c_Int_Onumber__class_Onumber__of(D,A)))|hBOOL(hAPP(c_HOL_Oord__class_Oless(C,A),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(D,A),C,A))).
% 0.19/0.48 Following clause subsumed by 258 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(B,c_Int_Onumber__class_Onumber__of(C,A),A),A),D))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),D))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(D,c_Int_Onumber__class_Onumber__of(C,A),A),A),B))|hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),c_Int_Onumber__class_Onumber__of(C,A))).
% 0.19/0.48 Following clause subsumed by 254 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),c_HOL_Oinverse__class_Odivide(C,c_Int_Onumber__class_Onumber__of(D,A),A)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(C,A),c_HOL_Otimes__class_Otimes(B,c_Int_Onumber__class_Onumber__of(D,A),A)))|hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),c_Int_Onumber__class_Onumber__of(D,A))).
% 0.19/0.48 Following clause subsumed by 272 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(B,C,A),A),c_Int_Onumber__class_Onumber__of(D,A)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),c_Int_Onumber__class_Onumber__of(D,A)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(D,A),C,A),A),B))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(D,A),C,A))).
% 0.19/0.48 Following clause subsumed by 480 during input processing: 0 [] {-} c_Suc(A)!=c_Suc(B)|A=B.
% 0.19/0.48 Following clause subsumed by 254 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(B,A),A),c_HOL_Oinverse__class_Odivide(C,D,A)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(B,A),A),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(C,A),c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(B,A),D,A)))|hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),D)).
% 0.19/0.48 Following clause subsumed by 253 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(B,A),A),c_HOL_Oinverse__class_Odivide(C,D,A)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(B,A),A),c_HOL_Ozero__class_Ozero(A)))|hBOOL(hAPP(c_HOL_Oord__class_Oless(D,A),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(B,A),D,A),A),C)).
% 0.19/0.48 Following clause subsumed by 270 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(B,A),A),c_HOL_Oinverse__class_Odivide(C,D,A)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(B,A),A),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(C,A),c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(B,A),D,A)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(B,A),D,A),A),C)).
% 0.19/0.48 Following clause subsumed by 256 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(C,A),D,A)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(D,A),c_HOL_Ozero__class_Ozero(A)))|hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),D))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(C,A),A),c_HOL_Oinverse__class_Odivide(B,D,A))).
% 0.19/0.48 Following clause subsumed by 255 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(B,A),A),c_HOL_Oinverse__class_Odivide(C,D,A)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(D,A),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(C,A),c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(B,A),D,A)))|hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),D)).
% 0.19/0.48 Following clause subsumed by 483 during input processing: 0 [] {-} A=B|hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_nat),B))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_nat),c_Suc(B))).
% 0.19/0.48 Following clause subsumed by 271 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(B,A),A),c_HOL_Oinverse__class_Odivide(C,D,A)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(D,A),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(C,A),c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(B,A),D,A)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(B,A),D,A),A),C)).
% 0.19/0.48 Following clause subsumed by 490 during input processing: 0 [] {-} -hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_nat),A)).
% 0.19/0.48 Following clause subsumed by 497 during input processing: 0 [] {-} hBOOL(hAPP(c_lessequals(A,tc_nat),B))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_nat),B)).
% 0.19/0.48 Following clause subsumed by 14 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -class_Int_Onumber(A)| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(B,A),A),c_Int_Onumber__class_Onumber__of(C,A)))| -hBOOL(hAPP(c_lessequals(c_Int_Onumber__class_Onumber__of(C,A),A),c_Int_Onumber__class_Onumber__of(B,A))).
% 0.19/0.48 Following clause subsumed by 15 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -class_Int_Onumber(A)|hBOOL(hAPP(c_lessequals(c_Int_Onumber__class_Onumber__of(B,A),A),c_Int_Onumber__class_Onumber__of(C,A)))|hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(C,A),A),c_Int_Onumber__class_Onumber__of(B,A))).
% 0.19/0.48 Following clause subsumed by 22 during input processing: 0 [flip.2] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(c_Power_Opower__class_Opower(B,A),c_Suc(C))=c_HOL_Otimes__class_Otimes(B,hAPP(c_Power_Opower__class_Opower(B,A),C),A).
% 0.19/0.48 Following clause subsumed by 510 during input processing: 0 [flip.3] {-} -class_Ring__and__Field_Ofield(A)| -class_Int_Onumber__ring(A)|c_HOL_Otimes__class_Otimes(B,c_HOL_Oinverse__class_Oinverse(C,A),A)=c_HOL_Oinverse__class_Odivide(B,C,A).
% 0.19/0.48 Following clause subsumed by 285 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(c_lessequals(c_Int_Onumber__class_Onumber__of(B,A),A),c_HOL_Oinverse__class_Odivide(C,D,A)))| -hBOOL(hAPP(c_lessequals(c_Int_Onumber__class_Onumber__of(B,A),A),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_lessequals(C,A),c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(B,A),D,A)))| -hBOOL(hAPP(c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(B,A),D,A),A),C)).
% 0.19/0.48 Following clause subsumed by 286 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(c_lessequals(c_Int_Onumber__class_Onumber__of(B,A),A),c_HOL_Oinverse__class_Odivide(C,D,A)))| -hBOOL(hAPP(c_lessequals(c_Int_Onumber__class_Onumber__of(B,A),A),c_HOL_Ozero__class_Ozero(A)))|hBOOL(hAPP(c_HOL_Oord__class_Oless(D,A),c_HOL_Ozero__class_Ozero(A)))|hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),D)).
% 0.19/0.48 Following clause subsumed by 287 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(c_lessequals(c_Int_Onumber__class_Onumber__of(B,A),A),c_HOL_Ozero__class_Ozero(A)))|hBOOL(hAPP(c_HOL_Oord__class_Oless(C,A),c_HOL_Ozero__class_Ozero(A)))|hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),C))| -hBOOL(hAPP(c_lessequals(c_Int_Onumber__class_Onumber__of(B,A),A),c_HOL_Oinverse__class_Odivide(D,C,A))).
% 0.19/0.48 Following clause subsumed by 348 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(c_lessequals(c_HOL_Oinverse__class_Odivide(B,c_Int_Onumber__class_Onumber__of(C,A),A),A),D))| -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(A),A),D))| -hBOOL(hAPP(c_lessequals(c_HOL_Otimes__class_Otimes(D,c_Int_Onumber__class_Onumber__of(C,A),A),A),B))|hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),c_Int_Onumber__class_Onumber__of(C,A))).
% 0.19/0.48 Following clause subsumed by 350 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(c_lessequals(B,A),c_HOL_Oinverse__class_Odivide(C,c_Int_Onumber__class_Onumber__of(D,A),A)))| -hBOOL(hAPP(c_lessequals(B,A),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_lessequals(C,A),c_HOL_Otimes__class_Otimes(B,c_Int_Onumber__class_Onumber__of(D,A),A)))|hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),c_Int_Onumber__class_Onumber__of(D,A))).
% 0.19/0.49 Following clause subsumed by 349 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(c_lessequals(c_HOL_Oinverse__class_Odivide(B,C,A),A),c_Int_Onumber__class_Onumber__of(D,A)))| -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(A),A),c_Int_Onumber__class_Onumber__of(D,A)))|hBOOL(hAPP(c_HOL_Oord__class_Oless(C,A),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_lessequals(B,A),c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(D,A),C,A))).
% 0.19/0.49 Following clause subsumed by 348 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(c_lessequals(c_HOL_Oinverse__class_Odivide(B,C,A),A),c_Int_Onumber__class_Onumber__of(D,A)))| -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(A),A),c_Int_Onumber__class_Onumber__of(D,A)))| -hBOOL(hAPP(c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(D,A),C,A),A),B))|hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),C)).
% 0.19/0.49 Following clause subsumed by 288 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(c_lessequals(c_HOL_Oinverse__class_Odivide(B,c_Int_Onumber__class_Onumber__of(C,A),A),A),D))| -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(A),A),D))| -hBOOL(hAPP(c_lessequals(c_HOL_Otimes__class_Otimes(D,c_Int_Onumber__class_Onumber__of(C,A),A),A),B))| -hBOOL(hAPP(c_lessequals(B,A),c_HOL_Otimes__class_Otimes(D,c_Int_Onumber__class_Onumber__of(C,A),A))).
% 0.19/0.49 Following clause subsumed by 285 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(c_lessequals(B,A),c_HOL_Oinverse__class_Odivide(C,c_Int_Onumber__class_Onumber__of(D,A),A)))| -hBOOL(hAPP(c_lessequals(B,A),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_lessequals(C,A),c_HOL_Otimes__class_Otimes(B,c_Int_Onumber__class_Onumber__of(D,A),A)))| -hBOOL(hAPP(c_lessequals(c_HOL_Otimes__class_Otimes(B,c_Int_Onumber__class_Onumber__of(D,A),A),A),C)).
% 0.19/0.49 Following clause subsumed by 541 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 548 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)|B=c_HOL_Ozero__class_Ozero(A)|c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(C,B,A),B,A)=C.
% 0.19/0.49 Following clause subsumed by 548 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(c_HOL_Otimes__class_Otimes(B,C,A),C,A)=B|C=c_HOL_Ozero__class_Ozero(A).
% 0.19/0.49 Following clause subsumed by 548 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(B,C,A),C,A)=B|C=c_HOL_Ozero__class_Ozero(A).
% 0.19/0.49 Following clause subsumed by 570 during input processing: 0 [] {-} -class_OrderedGroup_Ocomm__monoid__add(A)|c_Finite__Set_Osetsum(B,C,D,A)=c_HOL_Ozero__class_Ozero(A)|c_Finite__Set_Ofinite(C,D).
% 0.19/0.49 Following clause subsumed by 294 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),hAPP(c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(A),A),B),A).
% 0.19/0.49 Following clause subsumed by 574 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)| -class_Int_Onumber__ring(A)|c_HOL_Oinverse__class_Oinverse(B,A)=c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(A),B,A).
% 0.19/0.49 Following clause subsumed by 574 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)|c_HOL_Oinverse__class_Oinverse(B,A)=c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(A),B,A)|B=c_HOL_Ozero__class_Ozero(A).
% 0.19/0.52 Following clause subsumed by 597 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(A),c_HOL_Ozero__class_Ozero(A),A)=c_HOL_Ozero__class_Ozero(A).
% 0.19/0.52 Following clause subsumed by 601 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).
% 0.19/0.52 Following clause subsumed by 616 during input processing: 0 [] {-} -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ominus__class_Ominus(B,B,A)=c_HOL_Ozero__class_Ozero(A).
% 0.19/0.52 Following clause subsumed by 622 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).
% 0.19/0.52 Following clause subsumed by 622 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).
% 0.19/0.52 Following clause subsumed by 597 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oinverse__class_Odivide(B,c_HOL_Ozero__class_Ozero(A),A)=c_HOL_Ozero__class_Ozero(A).
% 0.19/0.52 Following clause subsumed by 597 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oinverse__class_Odivide(B,c_HOL_Ozero__class_Ozero(A),A)=c_HOL_Ozero__class_Ozero(A).
% 0.19/0.52 57 back subsumes 54.
% 0.19/0.52 58 back subsumes 56.
% 0.19/0.52 70 back subsumes 52.
% 0.19/0.52 160 back subsumes 105.
% 0.19/0.52 160 back subsumes 79.
% 0.19/0.52 195 back subsumes 91.
% 0.19/0.52 195 back subsumes 4.
% 0.19/0.52 253 back subsumes 29.
% 0.19/0.52 257 back subsumes 28.
% 0.19/0.52 259 back subsumes 42.
% 0.19/0.52 260 back subsumes 41.
% 0.19/0.52 270 back subsumes 40.
% 0.19/0.52 271 back subsumes 26.
% 0.19/0.52 272 back subsumes 39.
% 0.19/0.52 273 back subsumes 38.
% 0.19/0.52 273 back subsumes 25.
% 0.19/0.52 278 back subsumes 200.
% 0.19/0.52 278 back subsumes 84.
% 0.19/0.52 279 back subsumes 86.
% 0.19/0.52 280 back subsumes 199.
% 0.19/0.52 280 back subsumes 85.
% 0.19/0.52 281 back subsumes 87.
% 0.19/0.52 286 back subsumes 170.
% 0.19/0.52 287 back subsumes 169.
% 0.19/0.52 288 back subsumes 162.
% 0.19/0.52 289 back subsumes 168.
% 0.19/0.52 289 back subsumes 163.
% 0.19/0.52 290 back subsumes 167.
% 0.19/0.52 290 back subsumes 164.
% 0.19/0.52 310 back subsumes 141.
% 0.19/0.52 311 back subsumes 142.
% 0.19/0.52 349 back subsumes 306.
% 0.19/0.52 350 back subsumes 203.
% 0.19/0.52 351 back subsumes 307.
% 0.19/0.52 351 back subsumes 202.
% 0.19/0.52 383 back subsumes 301.
% 0.19/0.52 442 back subsumes 231.
% 0.19/0.52 443 back subsumes 228.
% 0.19/0.52 445 back subsumes 247.
% 0.19/0.52 450 back subsumes 449.
% 0.19/0.52 451 back subsumes 448.
% 0.19/0.52 455 back subsumes 250.
% 0.19/0.52 465 back subsumes 464.
% 0.19/0.52 466 back subsumes 463.
% 0.19/0.52 467 back subsumes 263.
% 0.19/0.52 467 back subsumes 251.
% 0.19/0.52 468 back subsumes 264.
% 0.19/0.52 468 back subsumes 252.
% 0.19/0.52 469 back subsumes 265.
% 0.19/0.52 469 back subsumes 261.
% 0.19/0.52 470 back subsumes 266.
% 0.19/0.52 470 back subsumes 262.
% 0.19/0.52 495 back subsumes 494.
% 0.19/0.52 513 back subsumes 377.
% 0.19/0.52 513 back subsumes 20.
% 0.19/0.52 514 back subsumes 378.
% 0.19/0.52 514 back subsumes 19.
% 0.19/0.52 515 back subsumes 486.
% 0.19/0.52 515 back subsumes 379.
% 0.19/0.52 516 back subsumes 485.
% 0.19/0.52 516 back subsumes 380.
% 0.19/0.52 548 back subsumes 283.
% 0.19/0.52 548 back subsumes 249.
% 0.19/0.52 574 back subsumes 394.
% 0.19/0.52 584 back subsumes 419.
% 0.19/0.52 604 back subsumes 581.
% 0.19/0.52 605 back subsumes 580.
% 0.19/0.52 607 back subsumes 599.
% 0.19/0.52 609 back subsumes 444.
% 0.19/0.52 678 back subsumes 643.
% 0.19/0.52 722 back subsumes 721.
% 0.19/0.52
% 0.19/0.52 ------------> process sos:
% 0.19/0.52 Following clause subsumed by 803 during input processing: 0 [] {-} hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_Suc(A))).
% 0.19/0.52 Following clause subsumed by 814 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)).
% 0.19/0.52 Following clause subsumed by 814 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.
% 0.19/0.52 Following clause subsumed by 815 during input processing: 0 [] {-} hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_nat),c_Suc(A))).
% 0.19/0.52 Following clause subsumed by 815 during input processing: 0 [unit_del,490] {-} hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_nat),c_Suc(A))).
% 0.19/0.52 Following clause subsumed by 827 during input processing: 0 [demod,821,821] {-} c_HOL_Ozero__class_Ozero(tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.19/0.52 Following clause subsumed by 815 during input processing: 0 [] {-} hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)))).
% 0.19/0.52 Following clause subsumed by 831 during input processing: 0 [] {-} hBOOL(hAPP(c_lessequals(A,tc_nat),A)).
% 0.19/0.52 Following clause subsumed by 799 during input processing: 0 [copy,799,flip.1] {-} c_HOL_Otimes__class_Otimes(A,B,tc_nat)=c_HOL_Otimes__class_Otimes(B,A,tc_nat).
% 0.19/0.52 Following clause subsumed by 940 during input processing: 0 [copy,827,flip.1] {-} c_HOL_Ozero__class_Ozero(tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.19/0.52 828 back subsumes 816.
% 0.19/0.52 831 back subsumes 806.
% 0.19/0.52 Following clause subsumed by 940 during input processing: 0 [copy,940,flip.1] {-} A=A.
% 0.19/0.52 940 back subsumes 827.
% 0.19/0.52 940 back subsumes 790.
% 0.19/0.52 940 back subsumes 744.
% 0.19/0.52 940 back subsumes 686.
% 0.19/0.52 940 back subsumes 667.
% 0.19/0.52 940 back subsumes 666.
% 0.19/0.52 940 back subsumes 665.
% 0.19/0.52 940 back subsumes 664.
% 0.19/0.52 940 back subsumes 661.
% 0.19/0.52 940 back subsumes 660.
% 0.19/0.52 940 back subsumes 659.
% 0.19/0.52 Following clause subsumed by 834 during input processing: 0 [copy,942,flip.1] {-} c_SetInterval_Oord__class_OatLeastLessThan(A,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)=c_SetInterval_Oord__class_OlessThan(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat).
% 0.19/0.52 Following clause subsumed by 835 during input processing: 0 [copy,943,flip.1] {-} c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),A,tc_nat)=c_SetInterval_Oord__class_OlessThan(A,tc_nat).
% 0.19/0.52 Following clause subsumed by 838 during input processing: 0 [copy,944,flip.1] {-} hAPP(c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(A),tc_Complex_Ocomplex),A)=c_HOL_Oone__class_Oone(tc_Complex_Ocomplex).
% 0.19/0.52
% 0.19/0.52 ======= end of input processing =======
% 0.59/0.83
% 0.59/0.83
% 0.59/0.83
% 0.59/0.83 Aborting on detection of an error:
% 0.59/0.83
% 0.59/0.83 Too many clauses (whew!).
% 0.59/0.83
%------------------------------------------------------------------------------