TSTP Solution File: SWV609-1 by SOS---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : SWV609-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n024.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 21:39:38 EDT 2022
% Result : Unknown 1.64s 1.81s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SWV609-1 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.12 % Command : sos-script %s
% 0.12/0.33 % Computer : n024.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 20:32:33 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.36/0.54 ----- Otter 3.2, August 2001 -----
% 0.36/0.54 The process was started by sandbox on n024.cluster.edu,
% 0.36/0.54 Wed Jun 15 20:32:33 2022
% 0.36/0.54 The command was "./sos". The process ID is 13111.
% 0.36/0.54
% 0.36/0.54 set(prolog_style_variables).
% 0.36/0.54 set(auto).
% 0.36/0.54 dependent: set(auto1).
% 0.36/0.54 dependent: set(process_input).
% 0.36/0.54 dependent: clear(print_kept).
% 0.36/0.54 dependent: clear(print_new_demod).
% 0.36/0.54 dependent: clear(print_back_demod).
% 0.36/0.54 dependent: clear(print_back_sub).
% 0.36/0.54 dependent: set(control_memory).
% 0.36/0.54 dependent: assign(max_mem, 12000).
% 0.36/0.54 dependent: assign(pick_given_ratio, 4).
% 0.36/0.54 dependent: assign(stats_level, 1).
% 0.36/0.54 dependent: assign(pick_semantic_ratio, 3).
% 0.36/0.54 dependent: assign(sos_limit, 5000).
% 0.36/0.54 dependent: assign(max_weight, 60).
% 0.36/0.54 clear(print_given).
% 0.36/0.54
% 0.36/0.54 list(usable).
% 0.36/0.54
% 0.36/0.54 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=7.
% 0.36/0.54
% 0.36/0.54 This ia a non-Horn set with equality. The strategy will be
% 0.36/0.54 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.36/0.54 unit deletion, with positive clauses in sos and nonpositive
% 0.36/0.54 clauses in usable.
% 0.36/0.54
% 0.36/0.54 dependent: set(knuth_bendix).
% 0.36/0.54 dependent: set(para_from).
% 0.36/0.54 dependent: set(para_into).
% 0.36/0.54 dependent: clear(para_from_right).
% 0.36/0.54 dependent: clear(para_into_right).
% 0.36/0.54 dependent: set(para_from_vars).
% 0.36/0.54 dependent: set(eq_units_both_ways).
% 0.36/0.54 dependent: set(dynamic_demod_all).
% 0.36/0.54 dependent: set(dynamic_demod).
% 0.36/0.54 dependent: set(order_eq).
% 0.36/0.54 dependent: set(back_demod).
% 0.36/0.54 dependent: set(lrpo).
% 0.36/0.54 dependent: set(hyper_res).
% 0.36/0.54 dependent: set(unit_deletion).
% 0.36/0.54 dependent: set(factor).
% 0.36/0.54
% 0.36/0.54 ------------> process usable:
% 0.36/0.54 Following clause subsumed by 7 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__semiring__strict(A)|hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(B,A),C),A),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),C))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),c_HOL_Ozero__class_Ozero(A))).
% 0.36/0.54 Following clause subsumed by 18 during input processing: 0 [] {-} -c_in(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B).
% 0.36/0.54 Following clause subsumed by 18 during input processing: 0 [] {-} hBOOL(hAPP(A,B))| -c_in(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C).
% 0.36/0.54 Following clause subsumed by 18 during input processing: 0 [] {-} -c_in(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B).
% 0.36/0.54 Following clause subsumed by 20 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(hAPP(c_HOL_Otimes__class_Otimes(B,A),c_Int_Onumber__class_Onumber__of(C,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).
% 0.36/0.54 Following clause subsumed by 68 during input processing: 0 [] {-} hAPP(c_Suc,A)!=A.
% 0.36/0.54 Following clause subsumed by 88 during input processing: 0 [] {-} hBOOL(hAPP(c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(A,tc_nat),B),tc_nat),hAPP(c_HOL_Otimes__class_Otimes(A,tc_nat),C)))| -hBOOL(hAPP(c_lessequals(B,tc_nat),C)).
% 0.36/0.54 Following clause subsumed by 87 during input processing: 0 [] {-} hBOOL(hAPP(c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(A,tc_nat),B),tc_nat),hAPP(c_HOL_Otimes__class_Otimes(C,tc_nat),B)))| -hBOOL(hAPP(c_lessequals(A,tc_nat),C)).
% 0.36/0.54 Following clause subsumed by 72 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(hAPP(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(B,A),A),C),A),D))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),C))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(B,A),A),c_HOL_Oinverse__class_Odivide(D,C,A))).
% 0.36/0.54 Following clause subsumed by 75 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_HOL_Ozero__class_Ozero(A),A),D))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(B,A),A),D),A),C)).
% 0.36/0.54 Following clause subsumed by 112 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)).
% 0.36/0.54 Following clause subsumed by 113 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)).
% 0.36/0.54 Following clause subsumed by 113 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)).
% 0.36/0.54 Following clause subsumed by 112 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)).
% 0.36/0.54 Following clause subsumed by 112 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.
% 0.36/0.54 Following clause subsumed by 114 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)).
% 0.36/0.54 Following clause subsumed by 115 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)).
% 0.36/0.54 Following clause subsumed by 119 during input processing: 0 [] {-} -class_Ring__and__Field_Opordered__ring(A)|hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(A),A),hAPP(c_HOL_Otimes__class_Otimes(B,A),C)))| -hBOOL(hAPP(c_lessequals(C,A),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_lessequals(B,A),c_HOL_Ozero__class_Ozero(A))).
% 0.36/0.54 Following clause subsumed by 131 during input processing: 0 [flip.2] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Otimes__class_Otimes(B,A),C),A),D)=hAPP(c_HOL_Otimes__class_Otimes(B,A),hAPP(c_HOL_Otimes__class_Otimes(C,A),D)).
% 0.36/0.54 Following clause subsumed by 131 during input processing: 0 [flip.2] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Otimes__class_Otimes(B,A),C),A),D)=hAPP(c_HOL_Otimes__class_Otimes(B,A),hAPP(c_HOL_Otimes__class_Otimes(C,A),D)).
% 0.36/0.54 Following clause subsumed by 134 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|hAPP(c_HOL_Otimes__class_Otimes(B,A),c_HOL_Oplus__class_Oplus(C,D,A))=c_HOL_Oplus__class_Oplus(hAPP(c_HOL_Otimes__class_Otimes(B,A),C),hAPP(c_HOL_Otimes__class_Otimes(B,A),D),A).
% 0.36/0.54 Following clause subsumed by 135 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|hAPP(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(B,C,A),A),D)=c_HOL_Oplus__class_Oplus(hAPP(c_HOL_Otimes__class_Otimes(B,A),D),hAPP(c_HOL_Otimes__class_Otimes(C,A),D),A).
% 0.36/0.54 Following clause subsumed by 143 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)).
% 0.36/0.54 Following clause subsumed by 143 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)).
% 0.36/0.54 Following clause subsumed by 144 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C| -hBOOL(hAPP(c_lessequals(C,A),B))| -hBOOL(hAPP(c_lessequals(B,A),C)).
% 0.36/0.54 Following clause subsumed by 143 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.
% 0.36/0.54 Following clause subsumed by 144 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C| -hBOOL(hAPP(c_lessequals(C,A),B))| -hBOOL(hAPP(c_lessequals(B,A),C)).
% 0.36/0.54 Following clause subsumed by 150 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)|B=c_HOL_Ozero__class_Ozero(A)|c_HOL_Oinverse__class_Odivide(hAPP(c_HOL_Otimes__class_Otimes(C,A),B),B,A)=C.
% 0.36/0.54 Following clause subsumed by 150 during input processing: 0 [flip.3] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oinverse__class_Odivide(hAPP(c_HOL_Otimes__class_Otimes(B,A),C),C,A)=B|C=c_HOL_Ozero__class_Ozero(A).
% 0.36/0.54 Following clause subsumed by 150 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oinverse__class_Odivide(hAPP(c_HOL_Otimes__class_Otimes(B,A),C),C,A)=B|C=c_HOL_Ozero__class_Ozero(A).
% 0.36/0.54 Following clause subsumed by 132 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Otimes__class_Otimes(B,A),C),A),hAPP(c_HOL_Otimes__class_Otimes(D,A),E))=hAPP(c_HOL_Otimes__class_Otimes(D,A),hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Otimes__class_Otimes(B,A),C),A),E)).
% 0.36/0.54 Following clause subsumed by 131 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Otimes__class_Otimes(B,A),C),A),hAPP(c_HOL_Otimes__class_Otimes(D,A),E))=hAPP(c_HOL_Otimes__class_Otimes(B,A),hAPP(c_HOL_Otimes__class_Otimes(C,A),hAPP(c_HOL_Otimes__class_Otimes(D,A),E))).
% 0.36/0.54 Following clause subsumed by 204 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hBOOL(hAPP(c_lessequals(B,A),c_HOL_Oinverse__class_Odivide(C,D,A)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),D))| -hBOOL(hAPP(c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(B,A),D),A),C)).
% 0.36/0.54 Following clause subsumed by 205 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hBOOL(hAPP(c_lessequals(c_HOL_Oinverse__class_Odivide(B,C,A),A),D))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),C))| -hBOOL(hAPP(c_lessequals(B,A),hAPP(c_HOL_Otimes__class_Otimes(D,A),C))).
% 0.36/0.54 Following clause subsumed by 17 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).
% 0.36/0.54 Following clause subsumed by 170 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(D,A),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_lessequals(C,A),hAPP(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(B,A),A),D)))| -hBOOL(hAPP(c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(B,A),A),D),A),C)).
% 0.36/0.54 Following clause subsumed by 228 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)).
% 0.36/0.54 Following clause subsumed by 205 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),hAPP(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(D,A),A),C))).
% 0.36/0.54 Following clause subsumed by 207 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),hAPP(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(C,A),A),D)))| -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))).
% 0.36/0.54 Following clause subsumed by 133 during input processing: 0 [flip.2] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(B,D,A),A),C)=c_HOL_Oplus__class_Oplus(hAPP(c_HOL_Otimes__class_Otimes(B,A),C),hAPP(c_HOL_Otimes__class_Otimes(D,A),C),A).
% 0.36/0.54 Following clause subsumed by 258 during input processing: 0 [] {-} c_Parity_Oeven__odd__class_Oeven(c_HOL_Oplus__class_Oplus(A,B,tc_nat),tc_nat)| -c_Parity_Oeven__odd__class_Oeven(B,tc_nat)| -c_Parity_Oeven__odd__class_Oeven(A,tc_nat).
% 0.36/0.54 Following clause subsumed by 260 during input processing: 0 [] {-} c_Parity_Oeven__odd__class_Oeven(A,tc_nat)| -c_Parity_Oeven__odd__class_Oeven(B,tc_nat)| -c_Parity_Oeven__odd__class_Oeven(c_HOL_Oplus__class_Oplus(A,B,tc_nat),tc_nat).
% 0.36/0.54 Following clause subsumed by 259 during input processing: 0 [] {-} c_Parity_Oeven__odd__class_Oeven(A,tc_nat)| -c_Parity_Oeven__odd__class_Oeven(B,tc_nat)| -c_Parity_Oeven__odd__class_Oeven(c_HOL_Oplus__class_Oplus(B,A,tc_nat),tc_nat).
% 0.36/0.54 Following clause subsumed by 259 during input processing: 0 [] {-} -c_Parity_Oeven__odd__class_Oeven(c_HOL_Oplus__class_Oplus(A,B,tc_nat),tc_nat)|c_Parity_Oeven__odd__class_Oeven(B,tc_nat)| -c_Parity_Oeven__odd__class_Oeven(A,tc_nat).
% 0.36/0.54 Following clause subsumed by 260 during input processing: 0 [] {-} -c_Parity_Oeven__odd__class_Oeven(c_HOL_Oplus__class_Oplus(A,B,tc_nat),tc_nat)| -c_Parity_Oeven__odd__class_Oeven(B,tc_nat)|c_Parity_Oeven__odd__class_Oeven(A,tc_nat).
% 0.36/0.54 Following clause subsumed by 258 during input processing: 0 [] {-} -c_Parity_Oeven__odd__class_Oeven(A,tc_nat)| -c_Parity_Oeven__odd__class_Oeven(B,tc_nat)|c_Parity_Oeven__odd__class_Oeven(c_HOL_Oplus__class_Oplus(B,A,tc_nat),tc_nat).
% 0.36/0.54 Following clause subsumed by 270 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),c_HOL_Oinverse__class_Odivide(B,C,A)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),C))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),B)).
% 0.36/0.54 Following clause subsumed by 269 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),c_HOL_Oinverse__class_Odivide(B,C,A)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(C,A),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),c_HOL_Ozero__class_Ozero(A))).
% 0.36/0.54 Following clause subsumed by 277 during input processing: 0 [flip.2] {-} -class_RealVector_Oreal__normed__algebra(A)|hAPP(c_HOL_Otimes__class_Otimes(B,A),c_Series_Osuminf(C,A))=c_Series_Osuminf(c_COMBB(c_HOL_Otimes__class_Otimes(B,A),C,A,A,tc_nat),A)| -c_Series_Osummable(C,A).
% 0.36/0.54 Following clause subsumed by 292 during input processing: 0 [] {-} c_HOL_Oplus__class_Oplus(A,B,tc_nat)!=c_HOL_Oplus__class_Oplus(A,C,tc_nat)|B=C.
% 0.36/0.54 Following clause subsumed by 306 during input processing: 0 [] {-} hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_nat),c_HOL_Oplus__class_Oplus(B,C,tc_nat)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_nat),B)).
% 0.36/0.54 Following clause subsumed by 307 during input processing: 0 [] {-} hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_nat),c_HOL_Oplus__class_Oplus(B,C,tc_nat)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_nat),C)).
% 0.36/0.54 Following clause subsumed by 309 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)).
% 0.36/0.54 Following clause subsumed by 310 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)).
% 0.36/0.54 Following clause subsumed by 329 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)| -class_Int_Onumber__ring(A)|hAPP(c_HOL_Oinverse__class_Oinverse(A),B)=c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(A),B,A).
% 0.36/0.55 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(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),hAPP(c_HOL_Otimes__class_Otimes(B,A),c_Int_Onumber__class_Onumber__of(D,A))))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(B,A),c_Int_Onumber__class_Onumber__of(D,A)),A),C)).
% 0.36/0.55 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_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(hAPP(c_HOL_Otimes__class_Otimes(D,A),c_Int_Onumber__class_Onumber__of(C,A)),A),B))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),hAPP(c_HOL_Otimes__class_Otimes(D,A),c_Int_Onumber__class_Onumber__of(C,A)))).
% 0.36/0.55 Following clause subsumed by 252 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,A),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(D,A),A),C),A),B))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),hAPP(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(D,A),A),C))).
% 0.36/0.55 Following clause subsumed by 338 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(A),A),B)=B.
% 0.36/0.55 Following clause subsumed by 349 during input processing: 0 [] {-} -class_Ring__and__Field_Oidom(A)| -class_Int_Onumber__ring(A)|c_HOL_Oplus__class_Oplus(hAPP(c_HOL_Otimes__class_Otimes(B,A),C),hAPP(c_HOL_Otimes__class_Otimes(B,A),D),A)=c_HOL_Oplus__class_Oplus(hAPP(c_HOL_Otimes__class_Otimes(B,A),D),hAPP(c_HOL_Otimes__class_Otimes(B,A),C),A).
% 0.36/0.55 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_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),hAPP(c_HOL_Otimes__class_Otimes(B,A),c_Int_Onumber__class_Onumber__of(D,A))))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(B,A),c_Int_Onumber__class_Onumber__of(D,A)),A),C)).
% 0.36/0.55 Following clause subsumed by 252 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(hAPP(c_HOL_Otimes__class_Otimes(D,A),c_Int_Onumber__class_Onumber__of(C,A)),A),B))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),hAPP(c_HOL_Otimes__class_Otimes(D,A),c_Int_Onumber__class_Onumber__of(C,A)))).
% 0.36/0.55 Following clause subsumed by 359 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(c_Power_Opower__class_Opower(B,A),hAPP(c_Suc,C))=hAPP(c_HOL_Otimes__class_Otimes(B,A),hAPP(c_Power_Opower__class_Opower(B,A),C)).
% 0.36/0.55 Following clause subsumed by 365 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(c_HOL_Otimes__class_Otimes(B,A),C)=hAPP(c_HOL_Otimes__class_Otimes(C,A),B).
% 0.36/0.55 Following clause subsumed by 375 during input processing: 0 [] {-} -class_Ring__and__Field_Opordered__cancel__semiring(A)|hBOOL(hAPP(c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(B,A),C),A),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_lessequals(C,A),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(A),A),B)).
% 0.36/0.55 Following clause subsumed by 376 during input processing: 0 [] {-} -class_Ring__and__Field_Opordered__cancel__semiring(A)|hBOOL(hAPP(c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(B,A),C),A),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(A),A),C))| -hBOOL(hAPP(c_lessequals(B,A),c_HOL_Ozero__class_Ozero(A))).
% 0.36/0.55 Following clause subsumed by 376 during input processing: 0 [] {-} -class_Ring__and__Field_Opordered__cancel__semiring(A)|hBOOL(hAPP(c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(B,A),C),A),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_lessequals(B,A),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(A),A),C)).
% 0.36/0.55 Following clause subsumed by 385 during input processing: 0 [] {-} -hBOOL(hAPP(A,c_Nat_Onat_Onat__case(B,C,hAPP(c_Suc,D),t_a)))|hBOOL(hAPP(A,hAPP(C,D))).
% 0.36/0.55 Following clause subsumed by 18 during input processing: 0 [] {-} -hBOOL(hAPP(A,B))| -c_in(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C).
% 0.36/0.55 Following clause subsumed by 249 during input processing: 0 [] {-} -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(hAPP(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(B,A),A),C),C,A)=c_Int_Onumber__class_Onumber__of(B,A).
% 0.36/0.55 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_HOL_Oord__class_Oless(B,A),hAPP(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(C,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_Oinverse__class_Odivide(B,D,A),A),c_Int_Onumber__class_Onumber__of(C,A))).
% 0.36/0.55 Following clause subsumed by 74 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),hAPP(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(D,A),A),C))).
% 0.36/0.55 Following clause subsumed by 171 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(hAPP(c_HOL_Otimes__class_Otimes(D,A),c_Int_Onumber__class_Onumber__of(C,A)),A),B))| -hBOOL(hAPP(c_lessequals(B,A),hAPP(c_HOL_Otimes__class_Otimes(D,A),c_Int_Onumber__class_Onumber__of(C,A)))).
% 0.36/0.55 Following clause subsumed by 170 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),hAPP(c_HOL_Otimes__class_Otimes(B,A),c_Int_Onumber__class_Onumber__of(D,A))))| -hBOOL(hAPP(c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(B,A),c_Int_Onumber__class_Onumber__of(D,A)),A),C)).
% 0.36/0.55 Following clause subsumed by 250 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_Ozero__class_Ozero(A),A),B))|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)).
% 0.36/0.55 Following clause subsumed by 251 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_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))).
% 0.36/0.55 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_Ozero__class_Ozero(A)))|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(B,A),c_HOL_Oinverse__class_Odivide(D,c_Int_Onumber__class_Onumber__of(C,A),A))).
% 0.36/0.55 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(B,A),c_HOL_Ozero__class_Ozero(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))).
% 0.36/0.55 Following clause subsumed by 421 during input processing: 0 [] {-} -hBOOL(hAPP(c_lessequals(A,tc_nat),A))|hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_nat),hAPP(c_Suc,A))).
% 0.36/0.55 Following clause subsumed by 426 during input processing: 0 [] {-} c_GCD_Ogcd__class_Olcm(A,B,tc_nat)!=c_HOL_Oone__class_Oone(tc_nat)|A=c_HOL_Oone__class_Oone(tc_nat).
% 0.36/0.55 Following clause subsumed by 425 during input processing: 0 [] {-} c_GCD_Ogcd__class_Olcm(A,B,tc_nat)!=c_HOL_Oone__class_Oone(tc_nat)|B=c_HOL_Oone__class_Oone(tc_nat).
% 0.36/0.55 Following clause subsumed by 429 during input processing: 0 [] {-} -hBOOL(hAPP(A,c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(B,C,tc_nat),B,tc_nat)))|hBOOL(hAPP(A,C)).
% 0.36/0.55 Following clause subsumed by 439 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|c_Series_Osummable(c_COMBB(c_HOL_Otimes__class_Otimes(B,A),C,A,A,tc_nat),A)| -c_Series_Osummable(C,A).
% 0.36/0.55 Following clause subsumed by 442 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|c_Series_Osums(c_COMBB(c_HOL_Otimes__class_Otimes(B,A),C,A,A,tc_nat),hAPP(c_HOL_Otimes__class_Otimes(B,A),D),A)| -c_Series_Osums(C,D,A).
% 0.36/0.55 Following clause subsumed by 445 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__vector(A)|c_Series_Osummable(B,A)| -c_Series_Osums(B,C,A).
% 0.36/0.55 Following clause subsumed by 325 during input processing: 0 [flip.2] {-} -class_Ring__and__Field_Oring(A)|c_HOL_Oplus__class_Oplus(hAPP(c_HOL_Otimes__class_Otimes(E,A),C),c_HOL_Oplus__class_Oplus(hAPP(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(B,E,A),A),C),D,A),A)=c_HOL_Oplus__class_Oplus(hAPP(c_HOL_Otimes__class_Otimes(B,A),C),D,A).
% 0.36/0.55 Following clause subsumed by 171 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(hAPP(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(D,A),A),C),A),B))| -hBOOL(hAPP(c_lessequals(B,A),hAPP(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(D,A),A),C))).
% 0.36/0.55 Following clause subsumed by 374 during input processing: 0 [flip.2] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(B,C,A),D,A)=c_HOL_Oplus__class_Oplus(B,c_HOL_Oplus__class_Oplus(C,D,A),A).
% 0.36/0.55 Following clause subsumed by 374 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(B,C,A),D,A)=c_HOL_Oplus__class_Oplus(B,c_HOL_Oplus__class_Oplus(C,D,A),A).
% 0.36/0.55 Following clause subsumed by 460 during input processing: 0 [] {-} hBOOL(hAPP(c_lessequals(A,tc_nat),c_HOL_Oplus__class_Oplus(B,C,tc_nat)))| -hBOOL(hAPP(c_lessequals(A,tc_nat),B)).
% 0.36/0.55 Following clause subsumed by 461 during input processing: 0 [] {-} hBOOL(hAPP(c_lessequals(A,tc_nat),c_HOL_Oplus__class_Oplus(B,C,tc_nat)))| -hBOOL(hAPP(c_lessequals(A,tc_nat),C)).
% 0.36/0.55 Following clause subsumed by 466 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)).
% 0.36/0.55 Following clause subsumed by 466 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)).
% 0.36/0.55 Following clause subsumed by 466 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)).
% 0.36/0.55 Following clause subsumed by 468 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)).
% 0.36/0.55 Following clause subsumed by 470 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).
% 0.36/0.55 Following clause subsumed by 470 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).
% 0.36/0.55 Following clause subsumed by 88 during input processing: 0 [] {-} hBOOL(hAPP(c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(A,tc_nat),B),tc_nat),hAPP(c_HOL_Otimes__class_Otimes(A,tc_nat),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)).
% 0.36/0.55 Following clause subsumed by 496 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(c_HOL_Otimes__class_Otimes(C,tc_nat),A),tc_nat),hAPP(c_HOL_Otimes__class_Otimes(C,tc_nat),B))).
% 0.36/0.55 Following clause subsumed by 515 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|hAPP(c_HOL_Otimes__class_Otimes(B,A),c_HOL_Ominus__class_Ominus(C,D,A))=c_HOL_Ominus__class_Ominus(hAPP(c_HOL_Otimes__class_Otimes(B,A),C),hAPP(c_HOL_Otimes__class_Otimes(B,A),D),A).
% 0.36/0.55 Following clause subsumed by 516 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|hAPP(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(B,C,A),A),D)=c_HOL_Ominus__class_Ominus(hAPP(c_HOL_Otimes__class_Otimes(B,A),D),hAPP(c_HOL_Otimes__class_Otimes(C,A),D),A).
% 0.36/0.55 Following clause subsumed by 29 during input processing: 0 [] {-} hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_nat),B))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_Suc,C),tc_nat),A),tc_nat),hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_Suc,C),tc_nat),B))).
% 0.36/0.55 Following clause subsumed by 250 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_Ozero__class_Ozero(A),A),c_Int_Onumber__class_Onumber__of(B,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_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(D,C,A),A),c_Int_Onumber__class_Onumber__of(B,A))).
% 0.36/0.55 Following clause subsumed by 251 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(c_HOL_Ozero__class_Ozero(A),A),C)).
% 0.36/0.55 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_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(hAPP(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(D,A),A),C),A),B))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),hAPP(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(D,A),A),C))).
% 0.36/0.55 Following clause subsumed by 544 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Oplus__class_Oplus(B,C,A)=c_HOL_Oplus__class_Oplus(C,B,A).
% 0.36/0.55 Following clause subsumed by 150 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(hAPP(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(B,A),A),C),C,A)=c_Int_Onumber__class_Onumber__of(B,A)|C=c_HOL_Ozero__class_Ozero(A).
% 0.36/0.55 Following clause subsumed by 568 during input processing: 0 [] {-} hAPP(c_Suc,A)!=hAPP(c_Suc,B)|A=B.
% 0.36/0.55 Following clause subsumed by 563 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),hAPP(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(B,A),A),D)))|hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),D)).
% 0.36/0.55 Following clause subsumed by 564 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(hAPP(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(B,A),A),D),A),C)).
% 0.36/0.55 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_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_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(B,A),A),c_HOL_Oinverse__class_Odivide(D,C,A))).
% 0.36/0.55 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(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)).
% 0.36/0.55 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_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),hAPP(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(B,A),A),D)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(B,A),A),D),A),C)).
% 0.36/0.55 Following clause subsumed by 575 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|hAPP(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(B,c_Int_Onumber__class_Onumber__of(C,A),A),A),c_Int_Onumber__class_Onumber__of(C,A))=B|c_Int_Onumber__class_Onumber__of(C,A)=c_HOL_Ozero__class_Ozero(A).
% 0.36/0.55 Following clause subsumed by 197 during input processing: 0 [] {-} -hBOOL(hAPP(c_lessequals(A,tc_nat),B))|c_HOL_Oplus__class_Oplus(hAPP(c_HOL_Otimes__class_Otimes(A,tc_nat),C),c_HOL_Oplus__class_Oplus(hAPP(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(B,A,tc_nat),tc_nat),C),D,tc_nat),tc_nat)=c_HOL_Oplus__class_Oplus(hAPP(c_HOL_Otimes__class_Otimes(B,tc_nat),C),D,tc_nat).
% 0.36/0.55 Following clause subsumed by 591 during input processing: 0 [] {-} c_HOL_Oplus__class_Oplus(hAPP(c_HOL_Otimes__class_Otimes(A,tc_nat),B),hAPP(c_HOL_Otimes__class_Otimes(C,tc_nat),D),tc_nat)!=c_HOL_Oplus__class_Oplus(hAPP(c_HOL_Otimes__class_Otimes(A,tc_nat),D),hAPP(c_HOL_Otimes__class_Otimes(C,tc_nat),B),tc_nat)|B=D|A=C.
% 0.36/0.55 Following clause subsumed by 592 during input processing: 0 [] {-} -class_Ring__and__Field_Oidom(A)| -class_Int_Onumber__ring(A)|c_HOL_Oplus__class_Oplus(hAPP(c_HOL_Otimes__class_Otimes(B,A),C),hAPP(c_HOL_Otimes__class_Otimes(D,A),E),A)!=c_HOL_Oplus__class_Oplus(hAPP(c_HOL_Otimes__class_Otimes(B,A),E),hAPP(c_HOL_Otimes__class_Otimes(D,A),C),A)|C=E|B=D.
% 0.36/0.55 Following clause subsumed by 561 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),hAPP(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(C,A),A),D)))| -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))).
% 0.36/0.55 Following clause subsumed by 562 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),hAPP(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(B,A),A),D)))|hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),D)).
% 0.36/0.55 Following clause subsumed by 594 during input processing: 0 [] {-} A=B|hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_nat),B))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_nat),hAPP(c_Suc,B))).
% 0.36/0.55 Following clause subsumed by 150 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(hAPP(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(B,A),A),C),C,A)=c_Int_Onumber__class_Onumber__of(B,A)|C=c_HOL_Ozero__class_Ozero(A).
% 0.36/0.56 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(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),hAPP(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(B,A),A),D)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(B,A),A),D),A),C)).
% 0.36/0.56 Following clause subsumed by 75 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_HOL_Ozero__class_Ozero(A),A),c_Int_Onumber__class_Onumber__of(D,A)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(B,A),c_Int_Onumber__class_Onumber__of(D,A)),A),C)).
% 0.36/0.56 Following clause subsumed by 72 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(hAPP(c_HOL_Otimes__class_Otimes(B,A),c_Int_Onumber__class_Onumber__of(C,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_HOL_Oord__class_Oless(B,A),c_HOL_Oinverse__class_Odivide(D,c_Int_Onumber__class_Onumber__of(C,A),A))).
% 0.36/0.56 Following clause subsumed by 74 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),c_Int_Onumber__class_Onumber__of(C,A)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),hAPP(c_HOL_Otimes__class_Otimes(D,A),c_Int_Onumber__class_Onumber__of(C,A)))).
% 0.36/0.56 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_HOL_Oord__class_Oless(B,A),hAPP(c_HOL_Otimes__class_Otimes(C,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_Oinverse__class_Odivide(B,c_Int_Onumber__class_Onumber__of(D,A),A),A),C)).
% 0.36/0.56 Following clause subsumed by 615 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(c_HOL_Oinverse__class_Oinverse(A),B)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),B)).
% 0.36/0.56 Following clause subsumed by 88 during input processing: 0 [] {-} hBOOL(hAPP(c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_Suc,A),tc_nat),B),tc_nat),hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_Suc,A),tc_nat),C)))| -hBOOL(hAPP(c_lessequals(B,tc_nat),C)).
% 0.36/0.56 Following clause subsumed by 204 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(hAPP(c_HOL_Otimes__class_Otimes(B,A),c_Int_Onumber__class_Onumber__of(D,A)),A),C)).
% 0.36/0.56 Following clause subsumed by 206 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(hAPP(c_HOL_Otimes__class_Otimes(B,A),c_Int_Onumber__class_Onumber__of(C,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))).
% 0.36/0.56 Following clause subsumed by 205 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),hAPP(c_HOL_Otimes__class_Otimes(D,A),c_Int_Onumber__class_Onumber__of(C,A)))).
% 0.36/0.56 Following clause subsumed by 207 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),hAPP(c_HOL_Otimes__class_Otimes(C,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_lessequals(c_HOL_Oinverse__class_Odivide(B,c_Int_Onumber__class_Onumber__of(D,A),A),A),C)).
% 0.36/0.56 Following clause subsumed by 636 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__ring__strict(A)|hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(B,A),C),A),hAPP(c_HOL_Otimes__class_Otimes(D,A),C)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(C,A),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(D,A),B)).
% 0.36/0.56 Following clause subsumed by 639 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__ring__strict(A)|hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(B,A),C),A),hAPP(c_HOL_Otimes__class_Otimes(B,A),D)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(D,A),C)).
% 0.36/0.56 Following clause subsumed by 640 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__ring__strict(A)|hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(B,A),C),A),hAPP(c_HOL_Otimes__class_Otimes(B,A),D)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(C,A),D))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),B)).
% 0.36/0.56 Following clause subsumed by 639 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__ring__strict(A)|hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(B,A),C),A),hAPP(c_HOL_Otimes__class_Otimes(B,A),D)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(D,A),C))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),c_HOL_Ozero__class_Ozero(A))).
% 0.36/0.56 Following clause subsumed by 29 during input processing: 0 [] {-} hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_nat),B))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(C,tc_nat),A),tc_nat),hAPP(c_HOL_Otimes__class_Otimes(C,tc_nat),B)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),C)).
% 0.36/0.56 Following clause subsumed by 644 during input processing: 0 [] {-} hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(A,tc_nat),B),tc_nat),hAPP(c_HOL_Otimes__class_Otimes(A,tc_nat),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)).
% 0.36/0.56 Following clause subsumed by 644 during input processing: 0 [] {-} hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(A,tc_nat),B),tc_nat),hAPP(c_HOL_Otimes__class_Otimes(A,tc_nat),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)).
% 0.36/0.56 Following clause subsumed by 645 during input processing: 0 [] {-} hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(A,tc_nat),B),tc_nat),hAPP(c_HOL_Otimes__class_Otimes(C,tc_nat),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)).
% 0.36/0.56 Following clause subsumed by 648 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))).
% 0.36/0.56 Following clause subsumed by 664 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)).
% 0.36/0.56 Following clause subsumed by 670 during input processing: 0 [] {-} -class_Ring__and__Field_Odivision__ring(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hAPP(c_HOL_Oinverse__class_Oinverse(A),B)!=c_HOL_Ozero__class_Ozero(A)|B=c_HOL_Ozero__class_Ozero(A).
% 0.36/0.56 Following clause subsumed by 677 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hAPP(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(B,C,A),A),C)=B|C=c_HOL_Ozero__class_Ozero(A).
% 0.36/0.56 Following clause subsumed by 694 during input processing: 0 [] {-} -hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_nat),A)).
% 0.36/0.56 Following clause subsumed by 707 during input processing: 0 [] {-} hAPP(c_Suc,c_HOL_Ominus__class_Ominus(A,c_HOL_Oone__class_Oone(tc_nat),tc_nat))=A| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),A)).
% 0.36/0.56 Following clause subsumed by 711 during input processing: 0 [] {-} hBOOL(hAPP(c_lessequals(A,tc_nat),B))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_nat),B)).
% 0.36/0.56 Following clause subsumed by 718 during input processing: 0 [] {-} -class_RealVector_Ometric__space(A)|c_SEQ_Oconvergent(B,A)| -c_SEQ_OLIMSEQ(B,C,A).
% 0.36/0.56 Following clause subsumed by 577 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(hAPP(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(A),A),c_Int_Onumber__class_Onumber__of(B,A)),c_Int_Onumber__class_Onumber__of(B,A),A)=c_HOL_Ozero__class_Ozero(A).
% 0.36/0.56 Following clause subsumed by 728 during input processing: 0 [flip.2] {-} -hBOOL(hAPP(c_lessequals(A,tc_nat),B))|c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(B,A,tc_nat),A,tc_nat)=B.
% 0.36/0.56 Following clause subsumed by 164 during input processing: 0 [] {-} c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(A,B,tc_nat),C,tc_nat)=c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(A,C,tc_nat),B,tc_nat)| -hBOOL(hAPP(c_lessequals(B,tc_nat),A)).
% 0.36/0.56 Following clause subsumed by 162 during input processing: 0 [] {-} c_HOL_Oplus__class_Oplus(A,c_HOL_Ominus__class_Ominus(B,C,tc_nat),tc_nat)=c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(A,B,tc_nat),C,tc_nat)| -hBOOL(hAPP(c_lessequals(C,tc_nat),B)).
% 0.36/0.56 Following clause subsumed by 468 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))).
% 0.36/0.56 Following clause subsumed by 466 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))).
% 0.36/0.56 Following clause subsumed by 359 during input processing: 0 [flip.2] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(c_Power_Opower__class_Opower(B,A),hAPP(c_Suc,C))=hAPP(c_HOL_Otimes__class_Otimes(B,A),hAPP(c_Power_Opower__class_Opower(B,A),C)).
% 0.36/0.56 Following clause subsumed by 752 during input processing: 0 [flip.3] {-} -class_Ring__and__Field_Ofield(A)| -class_Int_Onumber__ring(A)|hAPP(c_HOL_Otimes__class_Otimes(B,A),hAPP(c_HOL_Oinverse__class_Oinverse(A),C))=c_HOL_Oinverse__class_Odivide(B,C,A).
% 0.36/0.56 Following clause subsumed by 754 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|hAPP(c_HOL_Otimes__class_Otimes(B,A),c_HOL_Ozero__class_Ozero(A))=c_HOL_Ozero__class_Ozero(A).
% 0.36/0.56 Following clause subsumed by 755 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|hAPP(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(A),A),B)=c_HOL_Ozero__class_Ozero(A).
% 0.36/0.56 Following clause subsumed by 753 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(A),A),B)=c_HOL_Ozero__class_Ozero(A).
% 0.36/0.56 Following clause subsumed by 668 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).
% 0.36/0.56 Following clause subsumed by 761 during input processing: 0 [] {-} -class_Ring__and__Field_Odivision__ring(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hAPP(c_HOL_Oinverse__class_Oinverse(A),c_HOL_Ozero__class_Ozero(A))=c_HOL_Ozero__class_Ozero(A).
% 0.36/0.56 Following clause subsumed by 758 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).
% 0.36/0.56 Following clause subsumed by 764 during input processing: 0 [] {-} -class_Ring__and__Field_Ono__zero__divisors(A)|hAPP(c_HOL_Otimes__class_Otimes(B,A),C)!=c_HOL_Ozero__class_Ozero(A)|B=c_HOL_Ozero__class_Ozero(A)|C=c_HOL_Ozero__class_Ozero(A).
% 0.36/0.56 Following clause subsumed by 767 during input processing: 0 [] {-} -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ominus__class_Ominus(B,B,A)=c_HOL_Ozero__class_Ozero(A).
% 0.36/0.56 Following clause subsumed by 668 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).
% 0.36/0.56 Following clause subsumed by 668 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).
% 0.36/0.56 Following clause subsumed by 784 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(A),B,A)=B.
% 0.36/0.56 Following clause subsumed by 787 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__idom(A)|hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(A),A),B))| -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(A),A),hAPP(c_Power_Opower__class_Opower(B,A),C)))|c_Parity_Oeven__odd__class_Oeven(C,tc_nat).
% 0.36/0.56 Following clause subsumed by 788 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__idom(A)|hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(A),A),hAPP(c_Power_Opower__class_Opower(B,A),C)))| -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(A),A),B))|c_Parity_Oeven__odd__class_Oeven(C,tc_nat).
% 0.36/0.56 Following clause subsumed by 787 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__idom(A)|c_Parity_Oeven__odd__class_Oeven(B,tc_nat)|hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(A),A),C))| -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(A),A),hAPP(c_Power_Opower__class_Opower(C,A),B))).
% 0.36/0.56 Following clause subsumed by 800 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__idom(A)|hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(A),A),hAPP(c_Power_Opower__class_Opower(B,A),C)))| -c_Parity_Oeven__odd__class_Oeven(C,tc_nat).
% 0.36/0.56 Following clause subsumed by 694 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))).
% 0.36/0.56 Following clause subsumed by 809 during input processing: 0 [] {-} hAPP(c_Suc,A)!=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.36/0.56 Following clause subsumed by 810 during input processing: 0 [] {-} hAPP(c_HOL_Otimes__class_Otimes(A,tc_nat),B)!=hAPP(c_HOL_Otimes__class_Otimes(A,tc_nat),C)|A=c_HOL_Ozero__class_Ozero(tc_nat)|B=C.
% 0.36/0.56 Following clause subsumed by 812 during input processing: 0 [] {-} -hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_nat),c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.36/0.56 Following clause subsumed by 819 during input processing: 0 [] {-} c_HOL_Oplus__class_Oplus(A,B,tc_nat)!=A|B=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.36/0.56 Following clause subsumed by 523 during input processing: 0 [] {-} hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(A,B,tc_nat),tc_nat),c_HOL_Ominus__class_Ominus(C,B,tc_nat)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_nat),C))| -hBOOL(hAPP(c_lessequals(B,tc_nat),C))| -hBOOL(hAPP(c_lessequals(B,tc_nat),A)).
% 0.36/0.56 Following clause subsumed by 329 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)| -class_Int_Onumber(A)|hAPP(c_HOL_Oinverse__class_Oinverse(A),c_Int_Onumber__class_Onumber__of(B,A))=c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(A),c_Int_Onumber__class_Onumber__of(B,A),A).
% 0.36/0.56 Following clause subsumed by 829 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)).
% 0.36/0.56 Following clause subsumed by 830 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,tc_nat),D))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(A),A),B)).
% 0.36/0.56 Following clause subsumed by 649 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),hAPP(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(B,A),A),D)))| -hBOOL(hAPP(c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(B,A),A),D),A),C)).
% 0.36/0.56 Following clause subsumed by 650 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)).
% 0.36/0.56 Following clause subsumed by 651 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))).
% 0.36/0.56 Following clause subsumed by 386 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(hAPP(c_HOL_Otimes__class_Otimes(D,A),c_Int_Onumber__class_Onumber__of(C,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))).
% 0.36/0.56 Following clause subsumed by 388 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),hAPP(c_HOL_Otimes__class_Otimes(B,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))).
% 0.36/0.56 Following clause subsumed by 842 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__vector(A)| -c_Series_Osummable(B,A)|c_Series_Osums(B,c_Series_Osuminf(B,A),A).
% 0.36/0.57 Following clause subsumed by 845 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(B,C,A),A),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(C,A),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),B)).
% 0.36/0.57 Following clause subsumed by 844 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(B,C,A),A),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),C))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),c_HOL_Ozero__class_Ozero(A))).
% 0.36/0.57 Following clause subsumed by 387 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),hAPP(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(D,A),A),C))).
% 0.36/0.57 Following clause subsumed by 386 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(hAPP(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(D,A),A),C),A),B))|hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),C)).
% 0.36/0.57 Following clause subsumed by 652 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(hAPP(c_HOL_Otimes__class_Otimes(D,A),c_Int_Onumber__class_Onumber__of(C,A)),A),B))| -hBOOL(hAPP(c_lessequals(B,A),hAPP(c_HOL_Otimes__class_Otimes(D,A),c_Int_Onumber__class_Onumber__of(C,A)))).
% 0.36/0.57 Following clause subsumed by 649 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),hAPP(c_HOL_Otimes__class_Otimes(B,A),c_Int_Onumber__class_Onumber__of(D,A))))| -hBOOL(hAPP(c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(B,A),c_Int_Onumber__class_Onumber__of(D,A)),A),C)).
% 0.36/0.57 Following clause subsumed by 792 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__idom(A)|hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),hAPP(c_Power_Opower__class_Opower(B,A),c_Int_Onumber__class_Onumber__of(C,tc_nat))))|B=c_HOL_Ozero__class_Ozero(A)| -c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(C,tc_nat),tc_nat).
% 0.36/0.57 Following clause subsumed by 603 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__idom(A)|hAPP(c_Power_Opower__class_Opower(hAPP(c_HOL_Oabs__class_Oabs(A),B),A),c_Int_Onumber__class_Onumber__of(C,tc_nat))=hAPP(c_Power_Opower__class_Opower(B,A),c_Int_Onumber__class_Onumber__of(C,tc_nat))| -c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(C,tc_nat),tc_nat).
% 0.36/0.57 Following clause subsumed by 577 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oinverse__class_Odivide(hAPP(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(A),A),B),B,A)=c_HOL_Ozero__class_Ozero(A).
% 0.36/0.61 Following clause subsumed by 893 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)).
% 0.36/0.61 Following clause subsumed by 820 during input processing: 0 [] {-} c_HOL_Ozero__class_Ozero(tc_nat)!=hAPP(c_Suc,A).
% 0.36/0.61 Following clause subsumed by 962 during input processing: 0 [] {-} -class_OrderedGroup_Ocomm__monoid__add(A)|hAPP(c_Finite__Set_Osetsum(B,C,A),D)=c_HOL_Ozero__class_Ozero(A)|c_Finite__Set_Ofinite(D,C).
% 0.36/0.61 Following clause subsumed by 964 during input processing: 0 [] {-} -class_Ring__and__Field_Osemiring__0(A)| -class_Power_Opower(A)|hAPP(c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(A),A),c_HOL_Ozero__class_Ozero(tc_nat))=c_HOL_Oone__class_Oone(A).
% 0.36/0.61 74 back subsumes 71.
% 0.36/0.61 75 back subsumes 73.
% 0.36/0.61 150 back subsumes 20.
% 0.36/0.61 204 back subsumes 97.
% 0.36/0.61 206 back subsumes 98.
% 0.36/0.61 306 back subsumes 224.
% 0.36/0.61 307 back subsumes 223.
% 0.36/0.61 329 back subsumes 238.
% 0.36/0.61 387 back subsumes 127.
% 0.36/0.61 388 back subsumes 100.
% 0.36/0.61 389 back subsumes 128.
% 0.36/0.61 389 back subsumes 99.
% 0.36/0.61 468 back subsumes 467.
% 0.36/0.61 480 back subsumes 479.
% 0.36/0.61 557 back subsumes 401.
% 0.36/0.61 557 back subsumes 331.
% 0.36/0.61 558 back subsumes 402.
% 0.36/0.61 558 back subsumes 330.
% 0.36/0.61 559 back subsumes 540.
% 0.36/0.61 559 back subsumes 538.
% 0.36/0.61 560 back subsumes 539.
% 0.36/0.61 560 back subsumes 354.
% 0.36/0.61 561 back subsumes 403.
% 0.36/0.61 562 back subsumes 404.
% 0.36/0.61 563 back subsumes 541.
% 0.36/0.61 564 back subsumes 353.
% 0.36/0.61 577 back subsumes 175.
% 0.36/0.61 650 back subsumes 13.
% 0.36/0.61 651 back subsumes 14.
% 0.36/0.61 652 back subsumes 24.
% 0.36/0.61 653 back subsumes 23.
% 0.36/0.61 653 back subsumes 15.
% 0.36/0.61 654 back subsumes 22.
% 0.36/0.61 654 back subsumes 16.
% 0.36/0.61 677 back subsumes 575.
% 0.36/0.61 703 back subsumes 702.
% 0.36/0.61 707 back subsumes 384.
% 0.36/0.61 718 back subsumes 509.
% 0.36/0.61 787 back subsumes 210.
% 0.36/0.61 788 back subsumes 209.
% 0.36/0.61 790 back subsumes 604.
% 0.36/0.61 795 back subsumes 740.
% 0.36/0.61 796 back subsumes 434.
% 0.36/0.61 797 back subsumes 370.
% 0.36/0.61 799 back subsumes 125.
% 0.36/0.61 800 back subsumes 411.
% 0.36/0.61 Following clause subsumed by 820 during input processing: 0 [copy,809,flip.1] {-} c_HOL_Ozero__class_Ozero(tc_nat)!=hAPP(c_Suc,A).
% 0.36/0.61 Following clause subsumed by 809 during input processing: 0 [copy,820,flip.1] {-} hAPP(c_Suc,A)!=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.36/0.61 838 back subsumes 529.
% 0.36/0.61 838 back subsumes 366.
% 0.36/0.61 839 back subsumes 530.
% 0.36/0.61 839 back subsumes 367.
% 0.36/0.61 840 back subsumes 599.
% 0.36/0.61 840 back subsumes 531.
% 0.36/0.61 841 back subsumes 598.
% 0.36/0.61 841 back subsumes 532.
% 0.36/0.61 938 back subsumes 803.
% 0.36/0.61 941 back subsumes 806.
% 0.36/0.61 942 back subsumes 804.
% 0.36/0.61 944 back subsumes 807.
% 0.36/0.61 953 back subsumes 788.
% 0.36/0.61 956 back subsumes 802.
% 0.36/0.61 957 back subsumes 793.
% 0.36/0.61 973 back subsumes 937.
% 0.36/0.61 976 back subsumes 970.
% 0.36/0.61 977 back subsumes 969.
% 0.36/0.61 979 back subsumes 958.
% 0.36/0.61 1040 back subsumes 1039.
% 0.36/0.61 Following clause subsumed by 975 during input processing: 0 [copy,1179,flip.1] {-} c_FFT__Mirabelle_Oroot(A)!=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex).
% 0.36/0.61
% 0.36/0.61 ------------> process sos:
% 0.36/0.61 Following clause subsumed by 1186 during input processing: 0 [] {-} hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_nat),hAPP(c_Suc,A))).
% 0.36/0.61 Following clause subsumed by 1193 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)).
% 0.36/0.61 Following clause subsumed by 1193 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.
% 0.36/0.61 Following clause subsumed by 1212 during input processing: 0 [] {-} c_Parity_Oeven__odd__class_Oeven(c_HOL_Oplus__class_Oplus(A,B,tc_nat),tc_nat)|c_Parity_Oeven__odd__class_Oeven(B,tc_nat)|c_Parity_Oeven__odd__class_Oeven(A,tc_nat).
% 0.36/0.61 Following clause subsumed by 1212 during input processing: 0 [] {-} c_Parity_Oeven__odd__class_Oeven(A,tc_nat)|c_Parity_Oeven__odd__class_Oeven(B,tc_nat)|c_Parity_Oeven__odd__class_Oeven(c_HOL_Oplus__class_Oplus(A,B,tc_nat),tc_nat).
% 0.36/0.61 Following clause subsumed by 1186 during input processing: 0 [unit_del,694] {-} hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_nat),hAPP(c_Suc,A))).
% 0.36/0.61 Following clause subsumed by 1222 during input processing: 0 [] {-} hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_nat),hAPP(c_Suc,c_HOL_Oplus__class_Oplus(A,B,tc_nat)))).
% 0.36/0.62 Following clause subsumed by 1233 during input processing: 0 [] {-} c_HOL_Oplus__class_Oplus(hAPP(c_HOL_Otimes__class_Otimes(A,tc_nat),B),hAPP(c_HOL_Otimes__class_Otimes(A,tc_nat),C),tc_nat)=c_HOL_Oplus__class_Oplus(hAPP(c_HOL_Otimes__class_Otimes(A,tc_nat),C),hAPP(c_HOL_Otimes__class_Otimes(A,tc_nat),B),tc_nat).
% 0.36/0.62 Following clause subsumed by 1258 during input processing: 0 [] {-} hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),hAPP(c_Suc,A))).
% 0.36/0.62 Following clause subsumed by 1282 during input processing: 0 [] {-} c_GCD_Ogcd__class_Olcm(A,B,tc_nat)=c_GCD_Ogcd__class_Olcm(B,A,tc_nat).
% 0.36/0.62 Following clause subsumed by 1290 during input processing: 0 [demod,1228] {-} c_HOL_Oone__class_Oone(tc_nat)=c_HOL_Oone__class_Oone(tc_nat).
% 0.36/0.62 Following clause subsumed by 1290 during input processing: 0 [demod,1286,1286,1228,1286] {-} c_HOL_Oone__class_Oone(tc_nat)=c_HOL_Oone__class_Oone(tc_nat).
% 0.36/0.62 Following clause subsumed by 1313 during input processing: 0 [] {-} hBOOL(hAPP(c_lessequals(A,tc_nat),c_HOL_Oplus__class_Oplus(A,B,tc_nat))).
% 0.36/0.62 Following clause subsumed by 1313 during input processing: 0 [] {-} hBOOL(hAPP(c_lessequals(A,tc_nat),c_HOL_Oplus__class_Oplus(A,B,tc_nat))).
% 0.36/0.62 Following clause subsumed by 1333 during input processing: 0 [demod,1326,1326] {-} c_HOL_Ozero__class_Ozero(tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.36/0.62 Following clause subsumed by 1333 during input processing: 0 [demod,1328,1328] {-} c_HOL_Ozero__class_Ozero(tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.36/0.62 Following clause subsumed by 1333 during input processing: 0 [demod,1335] {-} c_HOL_Ozero__class_Ozero(tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.36/0.62 Following clause subsumed by 1333 during input processing: 0 [demod,1337] {-} c_HOL_Ozero__class_Ozero(tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.36/0.62 Following clause subsumed by 1341 during input processing: 0 [] {-} hBOOL(hAPP(c_lessequals(A,tc_nat),A)).
% 0.36/0.62 Following clause subsumed by 1333 during input processing: 0 [demod,1363] {-} A=A.
% 0.36/0.62 Following clause subsumed by 1333 during input processing: 0 [] {-} A=A.
% 0.36/0.62 Following clause subsumed by 1283 during input processing: 0 [copy,1233,flip.1] {-} c_HOL_Oplus__class_Oplus(hAPP(c_HOL_Otimes__class_Otimes(A,tc_nat),B),hAPP(c_HOL_Otimes__class_Otimes(A,tc_nat),C),tc_nat)=c_HOL_Oplus__class_Oplus(hAPP(c_HOL_Otimes__class_Otimes(A,tc_nat),C),hAPP(c_HOL_Otimes__class_Otimes(A,tc_nat),B),tc_nat).
% 0.36/0.62 Following clause subsumed by 1236 during input processing: 0 [copy,1236,flip.1] {-} hAPP(c_HOL_Otimes__class_Otimes(A,tc_nat),B)=hAPP(c_HOL_Otimes__class_Otimes(B,tc_nat),A).
% 0.36/0.62 Following clause subsumed by 1275 during input processing: 0 [copy,1243,flip.1] {-} c_HOL_Oplus__class_Oplus(A,hAPP(c_Suc,B),tc_nat)=c_HOL_Oplus__class_Oplus(hAPP(c_Suc,A),B,tc_nat).
% 0.36/0.62 Following clause subsumed by 1250 during input processing: 0 [copy,1250,flip.1] {-} c_HOL_Oplus__class_Oplus(A,c_HOL_Oplus__class_Oplus(B,C,tc_nat),tc_nat)=c_HOL_Oplus__class_Oplus(B,c_HOL_Oplus__class_Oplus(A,C,tc_nat),tc_nat).
% 0.36/0.62 Following clause subsumed by 1333 during input processing: 0 [copy,1260,flip.1] {-} c_HOL_Oplus__class_Oplus(hAPP(c_HOL_Otimes__class_Otimes(A,tc_nat),B),c_HOL_Oplus__class_Oplus(hAPP(c_HOL_Otimes__class_Otimes(C,tc_nat),B),D,tc_nat),tc_nat)=c_HOL_Oplus__class_Oplus(hAPP(c_HOL_Otimes__class_Otimes(A,tc_nat),B),c_HOL_Oplus__class_Oplus(hAPP(c_HOL_Otimes__class_Otimes(C,tc_nat),B),D,tc_nat),tc_nat).
% 0.36/0.62 Following clause subsumed by 1270 during input processing: 0 [copy,1270,flip.1] {-} c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,B,tc_nat),C,tc_nat)=c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,C,tc_nat),B,tc_nat).
% 0.36/0.62 Following clause subsumed by 1243 during input processing: 0 [copy,1275,flip.1] {-} c_HOL_Oplus__class_Oplus(hAPP(c_Suc,A),B,tc_nat)=c_HOL_Oplus__class_Oplus(A,hAPP(c_Suc,B),tc_nat).
% 0.36/0.62 Following clause subsumed by 1282 during input processing: 0 [copy,1282,flip.1] {-} c_GCD_Ogcd__class_Olcm(A,B,tc_nat)=c_GCD_Ogcd__class_Olcm(B,A,tc_nat).
% 0.36/0.62 Following clause subsumed by 1283 during input processing: 0 [copy,1283,flip.1] {-} c_HOL_Oplus__class_Oplus(A,B,tc_nat)=c_HOL_Oplus__class_Oplus(B,A,tc_nat).
% 0.36/0.62 1283 back subsumes 1233.
% 0.36/0.62 Following clause subsumed by 1333 during input processing: 0 [copy,1290,flip.1] {-} c_HOL_Oone__class_Oone(tc_nat)=c_HOL_Oone__class_Oone(tc_nat).
% 0.36/0.62 Following clause subsumed by 1318 during input processing: 0 [copy,1318,flip.1] {-} c_GCD_Ogcd__class_Olcm(A,c_GCD_Ogcd__class_Olcm(B,C,tc_nat),tc_nat)=c_GCD_Ogcd__class_Olcm(B,c_GCD_Ogcd__class_Olcm(A,C,tc_nat),tc_nat).
% 0.36/0.62 Following clause subsumed by 1333 during input processing: 0 [copy,1322,flip.1] {-} c_GCD_Ogcd__class_Olcm(A,c_GCD_Ogcd__class_Olcm(B,C,tc_nat),tc_nat)=c_GCD_Ogcd__class_Olcm(A,c_GCD_Ogcd__class_Olcm(B,C,tc_nat),tc_nat).
% 0.36/0.62 Following clause subsumed by 1333 during input processing: 0 [copy,1333,flip.1] {-} A=A.
% 0.36/0.62 1333 back subsumes 1322.
% 0.36/0.62 1333 back subsumes 1290.
% 0.36/0.62 1333 back subsumes 1260.
% 0.36/0.62 1333 back subsumes 1177.
% 0.36/0.62 1333 back subsumes 1156.
% 0.36/0.62 1333 back subsumes 1152.
% 0.36/0.62 1333 back subsumes 1149.
% 0.36/0.62 1333 back subsumes 1148.
% 0.36/0.62 1333 back subsumes 1147.
% 0.36/0.62 1333 back subsumes 1093.
% 0.36/0.62 1333 back subsumes 1020.
% 0.36/0.62 1333 back subsumes 1019.
% 0.36/0.62 1333 back subsumes 1018.
% 0.36/0.62 1333 back subsumes 1017.
% 0.36/0.62 1333 back subsumes 1016.
% 0.36/0.62 1333 back subsumes 1015.
% 0.36/0.62 1341 back subsumes 1323.
% 0.36/0.62 1341 back subsumes 1295.
% 0.36/0.62 1341 back subsumes 1092.
% 0.36/0.62 Following clause subsumed by 1200 during input processing: 0 [copy,1520,flip.1] {-} c_Nat_Onat_Onat__case(A,B,hAPP(c_Suc,C),D)=hAPP(B,C).
% 0.36/0.62 Following clause subsumed by 1216 during input processing: 0 [copy,1526,flip.1] {-} c_HOL_Ominus__class_Ominus(A,hAPP(c_Suc,B),tc_nat)=c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,c_HOL_Oone__class_Oone(tc_nat),tc_nat),B,tc_nat).
% 0.36/0.62 Following clause subsumed by 1231 during input processing: 0 [copy,1527,flip.1] {-} hAPP(c_Suc,A)=c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),A,tc_nat).
% 0.36/0.62 Following clause subsumed by 1232 during input processing: 0 [copy,1528,flip.1] {-} hAPP(c_Suc,A)=c_HOL_Oplus__class_Oplus(A,c_HOL_Oone__class_Oone(tc_nat),tc_nat).
% 0.36/0.62 Following clause subsumed by 1255 during input processing: 0 [copy,1529,flip.1] {-} c_HOL_Ominus__class_Ominus(A,c_HOL_Oplus__class_Oplus(A,B,tc_nat),tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.36/0.62 Following clause subsumed by 1256 during input processing: 0 [copy,1530,flip.1] {-} c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,B,tc_nat),C,tc_nat)=c_HOL_Ominus__class_Ominus(A,c_HOL_Oplus__class_Oplus(B,C,tc_nat),tc_nat).
% 0.36/0.62 1574 back subsumes 1525.
% 0.36/0.62 1574 back subsumes 1055.
% 0.36/0.62 Following clause subsumed by 1338 during input processing: 0 [copy,1576,flip.1] {-} c_HOL_Ominus__class_Ominus(A,A,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.36/0.62 Following clause subsumed by 1360 during input processing: 0 [copy,1577,flip.1] {-} c_Nat_Osize__class_Osize(A,tc_String_Ochar)=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.36/0.62 Following clause subsumed by 1378 during input processing: 0 [copy,1587,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).
% 0.36/0.62
% 0.36/0.62 ======= end of input processing =======
% 1.57/1.81
% 1.57/1.81 Stopped by limit on insertions
% 1.57/1.81
% 1.57/1.81
% 1.57/1.81
% 1.57/1.81 Aborting on detection of an error:
% 1.57/1.81
% 1.57/1.81 Too many clauses (whew!).
% 1.57/1.81
%------------------------------------------------------------------------------