TSTP Solution File: SWV586-1 by SOS---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : SWV586-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n028.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 21:39:33 EDT 2022
% Result : Unknown 0.68s 0.88s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : SWV586-1 : TPTP v8.1.0. Released v4.1.0.
% 0.08/0.15 % Command : sos-script %s
% 0.14/0.36 % Computer : n028.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Tue Jun 14 21:15:54 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.45/0.69 ----- Otter 3.2, August 2001 -----
% 0.45/0.69 The process was started by sandbox on n028.cluster.edu,
% 0.45/0.69 Tue Jun 14 21:15:54 2022
% 0.45/0.69 The command was "./sos". The process ID is 29505.
% 0.45/0.69
% 0.45/0.69 set(prolog_style_variables).
% 0.45/0.69 set(auto).
% 0.45/0.69 dependent: set(auto1).
% 0.45/0.69 dependent: set(process_input).
% 0.45/0.69 dependent: clear(print_kept).
% 0.45/0.69 dependent: clear(print_new_demod).
% 0.45/0.69 dependent: clear(print_back_demod).
% 0.45/0.69 dependent: clear(print_back_sub).
% 0.45/0.69 dependent: set(control_memory).
% 0.45/0.69 dependent: assign(max_mem, 12000).
% 0.45/0.69 dependent: assign(pick_given_ratio, 4).
% 0.45/0.69 dependent: assign(stats_level, 1).
% 0.45/0.69 dependent: assign(pick_semantic_ratio, 3).
% 0.45/0.69 dependent: assign(sos_limit, 5000).
% 0.45/0.69 dependent: assign(max_weight, 60).
% 0.45/0.69 clear(print_given).
% 0.45/0.69
% 0.45/0.69 list(usable).
% 0.45/0.69
% 0.45/0.69 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=7.
% 0.45/0.69
% 0.45/0.69 This ia a non-Horn set with equality. The strategy will be
% 0.45/0.69 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.45/0.69 unit deletion, with positive clauses in sos and nonpositive
% 0.45/0.69 clauses in usable.
% 0.45/0.69
% 0.45/0.69 dependent: set(knuth_bendix).
% 0.45/0.69 dependent: set(para_from).
% 0.45/0.69 dependent: set(para_into).
% 0.45/0.69 dependent: clear(para_from_right).
% 0.45/0.69 dependent: clear(para_into_right).
% 0.45/0.69 dependent: set(para_from_vars).
% 0.45/0.69 dependent: set(eq_units_both_ways).
% 0.45/0.69 dependent: set(dynamic_demod_all).
% 0.45/0.69 dependent: set(dynamic_demod).
% 0.45/0.69 dependent: set(order_eq).
% 0.45/0.69 dependent: set(back_demod).
% 0.45/0.69 dependent: set(lrpo).
% 0.45/0.69 dependent: set(hyper_res).
% 0.45/0.69 dependent: set(unit_deletion).
% 0.45/0.69 dependent: set(factor).
% 0.45/0.69
% 0.45/0.69 ------------> process usable:
% 0.45/0.69 Following clause subsumed by 26 during input processing: 0 [] {-} -class_Lattices_Oupper__semilattice(A)|hBOOL(hAPP(c_lessequals(B,A),C))| -hBOOL(hAPP(c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(B,D,A),A),C)).
% 0.45/0.69 Following clause subsumed by 27 during input processing: 0 [] {-} -class_Lattices_Oupper__semilattice(A)|hBOOL(hAPP(c_lessequals(B,A),C))| -hBOOL(hAPP(c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(D,B,A),A),C)).
% 0.45/0.69 Following clause subsumed by 58 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)).
% 0.45/0.69 Following clause subsumed by 58 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)).
% 0.45/0.69 Following clause subsumed by 59 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C| -hBOOL(hAPP(c_lessequals(C,A),B))| -hBOOL(hAPP(c_lessequals(B,A),C)).
% 0.45/0.69 Following clause subsumed by 58 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.
% 0.45/0.69 Following clause subsumed by 59 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C| -hBOOL(hAPP(c_lessequals(C,A),B))| -hBOOL(hAPP(c_lessequals(B,A),C)).
% 0.45/0.69 Following clause subsumed by 124 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(hAPP(c_HOL_Otimes__class_Otimes(A),B),D),A),C)).
% 0.45/0.69 Following clause subsumed by 125 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(hAPP(c_HOL_Otimes__class_Otimes(A),D),C))).
% 0.45/0.69 Following clause subsumed by 157 during input processing: 0 [] {-} -class_Divides_Osemiring__div(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_Divides_Odiv__class_Odiv(B,C,A)),C)),c_Divides_Odiv__class_Omod(B,C,A))=B.
% 0.45/0.69 Following clause subsumed by 159 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)).
% 0.45/0.69 Following clause subsumed by 160 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)).
% 0.45/0.69 Following clause subsumed by 160 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)).
% 0.45/0.69 Following clause subsumed by 159 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)).
% 0.45/0.69 Following clause subsumed by 159 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.
% 0.45/0.69 Following clause subsumed by 162 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)).
% 0.45/0.69 Following clause subsumed by 163 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)).
% 0.45/0.69 Following clause subsumed by 180 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__semidom(A)|hBOOL(hAPP(c_lessequals(B,tc_nat),C))| -hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(A),D),B),A),hAPP(hAPP(c_Power_Opower__class_Opower(A),D),C)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(A),A),D)).
% 0.45/0.69 Following clause subsumed by 198 during input processing: 0 [] {-} c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B),tc_nat)| -c_Parity_Oeven__odd__class_Oeven(B,tc_nat)| -c_Parity_Oeven__odd__class_Oeven(A,tc_nat).
% 0.45/0.69 Following clause subsumed by 200 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(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B),tc_nat).
% 0.45/0.69 Following clause subsumed by 199 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(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),A),tc_nat).
% 0.45/0.69 Following clause subsumed by 199 during input processing: 0 [] {-} -c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B),tc_nat)|c_Parity_Oeven__odd__class_Oeven(B,tc_nat)| -c_Parity_Oeven__odd__class_Oeven(A,tc_nat).
% 0.45/0.69 Following clause subsumed by 200 during input processing: 0 [] {-} -c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B),tc_nat)| -c_Parity_Oeven__odd__class_Oeven(B,tc_nat)|c_Parity_Oeven__odd__class_Oeven(A,tc_nat).
% 0.45/0.69 Following clause subsumed by 198 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(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),A),tc_nat).
% 0.45/0.69 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_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)).
% 0.45/0.69 Following clause subsumed by 203 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))).
% 0.45/0.69 Following clause subsumed by 227 during input processing: 0 [] {-} hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),C)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_nat),B)).
% 0.45/0.69 Following clause subsumed by 228 during input processing: 0 [] {-} hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),C)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_nat),C)).
% 0.45/0.69 Following clause subsumed by 232 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)).
% 0.45/0.69 Following clause subsumed by 233 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)).
% 0.45/0.69 Following clause subsumed by 250 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).
% 0.45/0.69 Following clause subsumed by 25 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__idom(A)|hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(A),B),c_Int_Onumber__class_Onumber__of(C,tc_nat)),A),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),c_HOL_Ozero__class_Ozero(A)))|c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(C,tc_nat),tc_nat).
% 0.45/0.69 Following clause subsumed by 281 during input processing: 0 [flip.2] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C)),D)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),C),D)).
% 0.45/0.69 Following clause subsumed by 281 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C)),D)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),C),D)).
% 0.45/0.69 Following clause subsumed by 289 during input processing: 0 [] {-} hBOOL(hAPP(c_lessequals(A,tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),C)))| -hBOOL(hAPP(c_lessequals(A,tc_nat),B)).
% 0.45/0.69 Following clause subsumed by 290 during input processing: 0 [] {-} hBOOL(hAPP(c_lessequals(A,tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),C)))| -hBOOL(hAPP(c_lessequals(A,tc_nat),C)).
% 0.45/0.69 Following clause subsumed by 294 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)).
% 0.45/0.69 Following clause subsumed by 294 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)).
% 0.45/0.69 Following clause subsumed by 294 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)).
% 0.45/0.69 Following clause subsumed by 296 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)).
% 0.45/0.69 Following clause subsumed by 297 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).
% 0.45/0.69 Following clause subsumed by 297 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).
% 0.45/0.69 Following clause subsumed by 152 during input processing: 0 [flip.2] {-} -class_Divides_Osemiring__div(A)|c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),c_Divides_Odiv__class_Omod(C,D,A)),D,A)=c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C),D,A).
% 0.45/0.69 Following clause subsumed by 153 during input processing: 0 [flip.2] {-} -class_Divides_Osemiring__div(A)|c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),c_Divides_Odiv__class_Omod(B,D,A)),C),D,A)=c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C),D,A).
% 0.45/0.69 Following clause subsumed by 310 during input processing: 0 [flip.1] {-} hAPP(hAPP(A,hAPP(hAPP(A,B),C)),D)=hAPP(hAPP(A,B),hAPP(hAPP(A,C),D))| -c_Groebner__Basis_Ogb__semiring(E,A,F,G,H,I).
% 0.45/0.70 Following clause subsumed by 313 during input processing: 0 [flip.1] {-} hAPP(hAPP(A,hAPP(hAPP(A,B),C)),D)=hAPP(hAPP(A,B),hAPP(hAPP(A,C),D))| -c_Groebner__Basis_Ogb__semiring(A,E,F,G,H,I).
% 0.45/0.70 Following clause subsumed by 221 during input processing: 0 [] {-} hAPP(hAPP(A,B),C)=C| -c_Groebner__Basis_Ogb__semiring(A,D,E,B,F,G).
% 0.45/0.70 Following clause subsumed by 313 during input processing: 0 [flip.1] {-} hAPP(hAPP(A,hAPP(hAPP(A,B),C)),D)=hAPP(hAPP(A,B),hAPP(hAPP(A,C),D))| -c_Groebner__Basis_Ogb__semiring(A,E,F,G,H,I).
% 0.45/0.70 Following clause subsumed by 316 during input processing: 0 [] {-} hAPP(hAPP(A,B),C)=hAPP(hAPP(A,C),B)| -c_Groebner__Basis_Ogb__semiring(A,D,E,F,G,H).
% 0.45/0.70 Following clause subsumed by 302 during input processing: 0 [] {-} hAPP(hAPP(A,B),C)=B| -c_Groebner__Basis_Ogb__semiring(D,A,E,B,F,G).
% 0.45/0.70 Following clause subsumed by 304 during input processing: 0 [] {-} hAPP(hAPP(A,B),C)=C| -c_Groebner__Basis_Ogb__semiring(D,A,E,F,B,G).
% 0.45/0.70 Following clause subsumed by 310 during input processing: 0 [flip.1] {-} hAPP(hAPP(A,hAPP(hAPP(A,B),C)),D)=hAPP(hAPP(A,B),hAPP(hAPP(A,C),D))| -c_Groebner__Basis_Ogb__semiring(E,A,F,G,H,I).
% 0.45/0.70 Following clause subsumed by 223 during input processing: 0 [] {-} hAPP(hAPP(A,B),C)=hAPP(hAPP(A,C),B)| -c_Groebner__Basis_Ogb__semiring(D,A,E,F,G,H).
% 0.45/0.70 Following clause subsumed by 326 during input processing: 0 [] {-} hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),C)|B=C.
% 0.45/0.70 Following clause subsumed by 337 during input processing: 0 [] {-} -class_Lattices_Oupper__semilattice(A)|hBOOL(hAPP(c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(B,C,A),A),D))| -hBOOL(hAPP(c_lessequals(C,A),D))| -hBOOL(hAPP(c_lessequals(B,A),D)).
% 0.45/0.70 Following clause subsumed by 337 during input processing: 0 [] {-} -class_Lattices_Oupper__semilattice(A)|hBOOL(hAPP(c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(B,C,A),A),D))| -hBOOL(hAPP(c_lessequals(C,A),D))| -hBOOL(hAPP(c_lessequals(B,A),D)).
% 0.45/0.70 Following clause subsumed by 364 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))).
% 0.45/0.70 Following clause subsumed by 371 during input processing: 0 [] {-} -hBOOL(hAPP(A,c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),C),B,tc_nat)))|hBOOL(hAPP(A,C)).
% 0.45/0.70 Following clause subsumed by 143 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__idom(A)|B=c_HOL_Ozero__class_Ozero(A)| -c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(C,tc_nat),tc_nat)| -hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(A),B),c_Int_Onumber__class_Onumber__of(C,tc_nat)),A),c_HOL_Ozero__class_Ozero(A))).
% 0.45/0.70 Following clause subsumed by 407 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__idom(A)|hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(A),A),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C)))| -c_Parity_Oeven__odd__class_Oeven(C,tc_nat).
% 0.45/0.70 Following clause subsumed by 433 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)).
% 0.45/0.70 Following clause subsumed by 249 during input processing: 0 [flip.2] {-} -class_Ring__and__Field_Oring(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),E),C)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_HOL_Ominus__class_Ominus(B,E,A)),C)),D))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)),D).
% 0.45/0.70 Following clause subsumed by 495 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),C),B).
% 0.45/0.70 Following clause subsumed by 120 during input processing: 0 [] {-} -hBOOL(hAPP(c_lessequals(A,tc_nat),B))|hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),C)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(B,A,tc_nat)),C)),D))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),B),C)),D).
% 0.45/0.70 Following clause subsumed by 540 during input processing: 0 [] {-} -hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_nat),A)).
% 0.45/0.70 Following clause subsumed by 555 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)).
% 0.45/0.70 Following clause subsumed by 578 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).
% 0.45/0.70 Following clause subsumed by 576 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).
% 0.45/0.70 Following clause subsumed by 584 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).
% 0.45/0.70 Following clause subsumed by 582 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).
% 0.45/0.70 Following clause subsumed by 592 during input processing: 0 [] {-} -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ominus__class_Ominus(B,B,A)=c_HOL_Ozero__class_Ozero(A).
% 0.45/0.70 Following clause subsumed by 576 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).
% 0.45/0.70 Following clause subsumed by 576 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).
% 0.45/0.70 Following clause subsumed by 609 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),c_HOL_Ozero__class_Ozero(A)),B)=B.
% 0.45/0.70 Following clause subsumed by 652 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(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D),A),C)).
% 0.45/0.70 Following clause subsumed by 653 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),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),C))).
% 0.45/0.70 Following clause subsumed by 559 during input processing: 0 [] {-} hBOOL(hAPP(c_lessequals(A,tc_nat),B))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_nat),B)).
% 0.45/0.70 Following clause subsumed by 672 during input processing: 0 [flip.2] {-} -hBOOL(hAPP(c_lessequals(A,tc_nat),B))|hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ominus__class_Ominus(B,A,tc_nat)),A)=B.
% 0.45/0.70 Following clause subsumed by 78 during input processing: 0 [] {-} hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ominus__class_Ominus(A,B,tc_nat)),C)=c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),C),B,tc_nat)| -hBOOL(hAPP(c_lessequals(B,tc_nat),A)).
% 0.45/0.70 Following clause subsumed by 76 during input processing: 0 [] {-} hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),c_HOL_Ominus__class_Ominus(B,C,tc_nat))=c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B),C,tc_nat)| -hBOOL(hAPP(c_lessequals(C,tc_nat),B)).
% 0.45/0.70 Following clause subsumed by 296 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))).
% 0.45/0.70 Following clause subsumed by 294 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))).
% 0.45/0.70 Following clause subsumed by 191 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(hAPP(c_Power_Opower__class_Opower(A),B),c_Int_Onumber__class_Onumber__of(C,tc_nat))))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),B))|c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(C,tc_nat),tc_nat).
% 0.45/0.70 Following clause subsumed by 682 during input processing: 0 [flip.3] {-} -class_Ring__and__Field_Ofield(A)| -class_Int_Onumber__ring(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),hAPP(c_HOL_Oinverse__class_Oinverse(A),C))=c_HOL_Oinverse__class_Odivide(B,C,A).
% 0.45/0.70 Following clause subsumed by 422 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)).
% 0.45/0.70 Following clause subsumed by 250 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).
% 0.45/0.70 Following clause subsumed by 688 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__semidom(A)|hBOOL(hAPP(c_HOL_Oord__class_Oless(B,tc_nat),C))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(A),D),B),A),hAPP(hAPP(c_Power_Opower__class_Opower(A),D),C)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(A),A),D)).
% 0.45/0.70 Following clause subsumed by 689 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__semidom(A)|hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C),A),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),D)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(C,tc_nat),D))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(A),A),B)).
% 0.45/0.70 Following clause subsumed by 560 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)).
% 0.45/0.70 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_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))).
% 0.45/0.70 Following clause subsumed by 541 during input processing: 0 [] {-} -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Int_OMin,tc_Int_Oint),c_Int_OMin)).
% 0.45/0.70 Following clause subsumed by 733 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)).
% 0.45/0.70 Following clause subsumed by 732 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))).
% 0.45/0.70 Following clause subsumed by 197 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)).
% 0.45/0.70 Following clause subsumed by 196 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))).
% 0.45/0.70 Following clause subsumed by 195 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)).
% 0.45/0.70 Following clause subsumed by 194 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))).
% 0.45/0.70 Following clause subsumed by 197 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))).
% 0.45/0.70 Following clause subsumed by 196 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))).
% 0.45/0.71 Following clause subsumed by 195 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))).
% 0.45/0.71 Following clause subsumed by 194 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)).
% 0.45/0.71 Following clause subsumed by 341 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(hAPP(c_HOL_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(D,A)),C),A),B))|hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),C)).
% 0.45/0.71 Following clause subsumed by 342 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(hAPP(c_HOL_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(D,A)),C))).
% 0.45/0.71 Following clause subsumed by 343 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(hAPP(c_HOL_Otimes__class_Otimes(A),B),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))).
% 0.45/0.71 Following clause subsumed by 341 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(hAPP(c_HOL_Otimes__class_Otimes(A),D),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))).
% 0.45/0.71 Following clause subsumed by 697 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(hAPP(c_HOL_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(C,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_lessequals(c_Int_Onumber__class_Onumber__of(C,A),A),c_HOL_Oinverse__class_Odivide(B,D,A))).
% 0.45/0.71 Following clause subsumed by 698 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(hAPP(c_HOL_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(B,A)),D)))|hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),D)).
% 0.45/0.71 Following clause subsumed by 698 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(hAPP(c_HOL_Otimes__class_Otimes(A),B),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))).
% 0.45/0.71 Following clause subsumed by 697 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(hAPP(c_HOL_Otimes__class_Otimes(A),C),c_Int_Onumber__class_Onumber__of(D,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_lessequals(C,A),c_HOL_Oinverse__class_Odivide(B,c_Int_Onumber__class_Onumber__of(D,A),A))).
% 0.45/0.71 Following clause subsumed by 696 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(hAPP(c_HOL_Otimes__class_Otimes(A),D),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))).
% 0.45/0.71 Following clause subsumed by 695 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(hAPP(c_HOL_Otimes__class_Otimes(A),B),c_Int_Onumber__class_Onumber__of(C,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_lessequals(c_HOL_Oinverse__class_Odivide(D,c_Int_Onumber__class_Onumber__of(C,A),A),A),B)).
% 0.45/0.71 Following clause subsumed by 82 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(hAPP(c_HOL_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(D,A)),C),A),B))| -hBOOL(hAPP(c_lessequals(B,A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(D,A)),C))).
% 0.45/0.71 Following clause subsumed by 81 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(hAPP(c_HOL_Otimes__class_Otimes(A),B),c_Int_Onumber__class_Onumber__of(D,A))))| -hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),c_Int_Onumber__class_Onumber__of(D,A)),A),C)).
% 0.45/0.71 Following clause subsumed by 82 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(hAPP(c_HOL_Otimes__class_Otimes(A),D),c_Int_Onumber__class_Onumber__of(C,A)),A),B))| -hBOOL(hAPP(c_lessequals(B,A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),c_Int_Onumber__class_Onumber__of(C,A)))).
% 0.45/0.71 Following clause subsumed by 127 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(hAPP(c_HOL_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(C,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))).
% 0.45/0.71 Following clause subsumed by 125 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(hAPP(c_HOL_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(D,A)),C))).
% 0.45/0.71 Following clause subsumed by 344 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_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(D,A),A),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),c_Int_Onumber__class_Onumber__of(D,A)),A),C)).
% 0.45/0.71 Following clause subsumed by 342 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_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(C,A),A),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_lessequals(B,A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),c_Int_Onumber__class_Onumber__of(C,A)))).
% 0.45/0.71 Following clause subsumed by 343 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(hAPP(c_HOL_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(B,A)),D)))|hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),D)).
% 0.45/0.71 Following clause subsumed by 344 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_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(B,A)),D),A),C)).
% 0.45/0.71 Following clause subsumed by 126 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(hAPP(c_HOL_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(B,A)),C),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))).
% 0.45/0.71 Following clause subsumed by 124 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(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(B,A)),D),A),C)).
% 0.45/0.71 Following clause subsumed by 81 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(hAPP(c_HOL_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(B,A)),D)))| -hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(B,A)),D),A),C)).
% 0.45/0.71 Following clause subsumed by 695 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(hAPP(c_HOL_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(B,A)),C),A),D))| -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_HOL_Oinverse__class_Odivide(D,C,A),A),c_Int_Onumber__class_Onumber__of(B,A))).
% 0.45/0.71 Following clause subsumed by 696 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(hAPP(c_HOL_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(D,A)),C),A),B))|hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),C)).
% 0.45/0.71 Following clause subsumed by 124 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(hAPP(c_HOL_Otimes__class_Otimes(A),B),c_Int_Onumber__class_Onumber__of(D,A)),A),C)).
% 0.45/0.71 Following clause subsumed by 126 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(hAPP(c_HOL_Otimes__class_Otimes(A),B),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))).
% 0.45/0.71 Following clause subsumed by 125 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(hAPP(c_HOL_Otimes__class_Otimes(A),D),c_Int_Onumber__class_Onumber__of(C,A)))).
% 0.45/0.71 Following clause subsumed by 127 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(hAPP(c_HOL_Otimes__class_Otimes(A),C),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)).
% 0.45/0.71 Following clause subsumed by 765 during input processing: 0 [] {-} -class_Ring__and__Field_Oidom(A)| -class_Int_Onumber__ring(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),E))!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),E)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),C))|C=E|B=D.
% 0.45/0.71 Following clause subsumed by 777 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C)),D)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),C),D)).
% 0.45/0.71 Following clause subsumed by 779 during input processing: 0 [flip.2] {-} -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),C),D)).
% 0.45/0.71 Following clause subsumed by 789 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_HOL_Oone__class_Oone(A)),B)=B.
% 0.45/0.71 Following clause subsumed by 791 during input processing: 0 [] {-} -class_Ring__and__Field_Oidom(A)| -class_Int_Onumber__ring(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)).
% 0.45/0.71 Following clause subsumed by 794 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),c_HOL_Ominus__class_Ominus(C,D,A))=c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D),A).
% 0.45/0.71 Following clause subsumed by 795 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_HOL_Ominus__class_Ominus(B,C,A)),D)=c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),C),D),A).
% 0.45/0.71 Following clause subsumed by 785 during input processing: 0 [flip.2] {-} -class_Divides_Osemiring__div(A)|c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_Divides_Odiv__class_Omod(B,D,A)),C),D,A)=c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C),D,A).
% 0.45/0.71 Following clause subsumed by 2 during input processing: 0 [] {-} -class_Ring__and__Field_Osemiring__0(A)| -class_Power_Opower(A)|hAPP(hAPP(c_Power_Opower__class_Opower(A),c_HOL_Ozero__class_Ozero(A)),c_HOL_Ozero__class_Ozero(tc_nat))=c_HOL_Oone__class_Oone(A).
% 0.45/0.71 Following clause subsumed by 334 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(hAPP(c_Power_Opower__class_Opower(A),B),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).
% 0.45/0.71 Following clause subsumed by 480 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__idom(A)|hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(A),A),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C)))| -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(A),A),B))|c_Parity_Oeven__odd__class_Oeven(C,tc_nat).
% 0.45/0.71 Following clause subsumed by 826 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(hAPP(c_Power_Opower__class_Opower(A),B),C)))|c_Parity_Oeven__odd__class_Oeven(C,tc_nat).
% 0.45/0.71 Following clause subsumed by 480 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__idom(A)|hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(A),A),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C)))| -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(A),A),B))|c_Parity_Oeven__odd__class_Oeven(C,tc_nat).
% 0.45/0.71 Following clause subsumed by 826 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__idom(A)|hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(A),A),B))|c_Parity_Oeven__odd__class_Oeven(C,tc_nat)| -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(A),A),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C))).
% 0.45/0.71 Following clause subsumed by 829 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)).
% 0.45/0.71 Following clause subsumed by 101 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__semidom(A)|hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),C))| -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(A),A),C))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(A),B),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),A),hAPP(hAPP(c_Power_Opower__class_Opower(A),C),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)))).
% 0.45/0.71 Following clause subsumed by 853 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__ring__strict(A)|hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C),A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(D,A),C)).
% 0.45/0.71 Following clause subsumed by 855 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__ring__strict(A)|hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C),A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(C,A),D))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),B)).
% 0.45/0.71 Following clause subsumed by 853 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__ring__strict(A)|hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C),A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(D,A),C))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),c_HOL_Ozero__class_Ozero(A))).
% 0.45/0.71 Following clause subsumed by 857 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__ring__strict(A)|hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C),A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),C)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(D,A),B))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(C,A),c_HOL_Ozero__class_Ozero(A))).
% 0.45/0.71 Following clause subsumed by 869 during input processing: 0 [flip.3] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C),C,A)=B|C=c_HOL_Ozero__class_Ozero(A).
% 0.45/0.71 Following clause subsumed by 870 during input processing: 0 [flip.3] {-} -class_Ring__and__Field_Ofield(A)|B=c_HOL_Ozero__class_Ozero(A)|c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),C),B),B,A)=C.
% 0.45/0.71 Following clause subsumed by 876 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__semiring__strict(A)|hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C),A),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),C)).
% 0.45/0.71 Following clause subsumed by 399 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__idom(A)|B=c_HOL_Ozero__class_Ozero(A)|hBOOL(hAPP(c_lessequals(B,A),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(A),B),c_Int_Onumber__class_Onumber__of(C,tc_nat)),A),c_HOL_Ozero__class_Ozero(A))).
% 0.45/0.71 Following clause subsumed by 398 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__idom(A)|hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(A),B),c_Int_Onumber__class_Onumber__of(C,tc_nat)),A),c_HOL_Ozero__class_Ozero(A))).
% 0.45/0.71 Following clause subsumed by 170 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__idom(A)|c_Int_Onumber__class_Onumber__of(B,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),hAPP(hAPP(c_Power_Opower__class_Opower(A),c_HOL_Ozero__class_Ozero(A)),c_Int_Onumber__class_Onumber__of(B,tc_nat))))| -c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(B,tc_nat),tc_nat).
% 0.45/0.71 Following clause subsumed by 254 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),B))|c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(C,tc_nat),tc_nat)|c_Int_Onumber__class_Onumber__of(C,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),c_Int_Onumber__class_Onumber__of(C,tc_nat)))).
% 0.45/0.71 Following clause subsumed by 24 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__idom(A)|hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(A),B),c_Int_Onumber__class_Onumber__of(C,tc_nat)),A),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_lessequals(B,A),c_HOL_Ozero__class_Ozero(A)))|c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(C,tc_nat),tc_nat)|c_Int_Onumber__class_Onumber__of(C,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.45/0.71 Following clause subsumed by 397 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__idom(A)| -c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(B,tc_nat),tc_nat)|c_Int_Onumber__class_Onumber__of(B,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(A),c_HOL_Ozero__class_Ozero(A)),c_Int_Onumber__class_Onumber__of(B,tc_nat)),A),c_HOL_Ozero__class_Ozero(A))).
% 0.45/0.71 Following clause subsumed by 540 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))).
% 0.45/0.71 Following clause subsumed by 890 during input processing: 0 [] {-} hBOOL(hAPP(A,c_Divides_Odiv__class_Odiv(B,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)))| -hBOOL(hAPP(A,c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.45/0.71 Following clause subsumed by 891 during input processing: 0 [] {-} -hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_nat),c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.45/0.71 Following clause subsumed by 898 during input processing: 0 [] {-} hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)!=A|B=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.45/0.71 Following clause subsumed by 555 during input processing: 0 [flip.1] {-} hAPP(c_Suc,c_HOL_Ominus__class_Ominus(c_Int_Onumber__class_Onumber__of(A,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat))=c_Int_Onumber__class_Onumber__of(A,tc_nat)| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_Int_Onumber__class_Onumber__of(A,tc_nat))).
% 0.45/0.71 Following clause subsumed by 935 during input processing: 0 [] {-} A=B| -hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_nat),hAPP(c_Suc,B)))|hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_nat),B)).
% 0.45/0.71 Following clause subsumed by 941 during input processing: 0 [] {-} hAPP(hAPP(A,B),hAPP(c_Suc,C))=hAPP(hAPP(D,B),hAPP(hAPP(A,B),C))| -c_Groebner__Basis_Ogb__semiring(E,D,A,F,G,H).
% 0.45/0.71 Following clause subsumed by 950 during input processing: 0 [] {-} -class_Ring__and__Field_Opordered__ring(A)|hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(A),A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)))| -hBOOL(hAPP(c_lessequals(C,A),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_lessequals(B,A),c_HOL_Ozero__class_Ozero(A))).
% 0.45/0.72 Following clause subsumed by 968 during input processing: 0 [] {-} -class_Ring__and__Field_Opordered__cancel__semiring(A)|hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C),A),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_lessequals(C,A),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(A),A),B)).
% 0.45/0.72 Following clause subsumed by 969 during input processing: 0 [] {-} -class_Ring__and__Field_Opordered__cancel__semiring(A)|hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C),A),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(A),A),C))| -hBOOL(hAPP(c_lessequals(B,A),c_HOL_Ozero__class_Ozero(A))).
% 0.45/0.72 Following clause subsumed by 969 during input processing: 0 [] {-} -class_Ring__and__Field_Opordered__cancel__semiring(A)|hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C),A),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_lessequals(B,A),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(A),A),C)).
% 0.45/0.72 Following clause subsumed by 974 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_HOL_Oinverse__class_Odivide(B,C,A)),C)=B|C=c_HOL_Ozero__class_Ozero(A).
% 0.45/0.72 Following clause subsumed by 972 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_HOL_Ozero__class_Ozero(A)),B),B,A)=c_HOL_Ozero__class_Ozero(A).
% 0.45/0.72 Following clause subsumed by 1003 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|c_Series_Osums(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(A),B),C,A,A,tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D),A)| -c_Series_Osums(C,D,A).
% 0.45/0.72 Following clause subsumed by 587 during input processing: 0 [] {-} -class_Ring__and__Field_Ozero__neq__one(A)| -class_Ring__and__Field_Ono__zero__divisors(A)| -class_Ring__and__Field_Omult__zero(A)| -class_Power_Opower(A)|hAPP(hAPP(c_Power_Opower__class_Opower(A),B),c_Int_Onumber__class_Onumber__of(C,tc_nat))!=c_HOL_Ozero__class_Ozero(A)|B=c_HOL_Ozero__class_Ozero(A).
% 0.45/0.72 Following clause subsumed by 1004 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_Power_Opower__class_Opower(A),B),hAPP(c_Suc,C))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C)).
% 0.45/0.72 Following clause subsumed by 1004 during input processing: 0 [flip.2] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_Power_Opower__class_Opower(A),B),hAPP(c_Suc,C))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C)).
% 0.45/0.72 Following clause subsumed by 1032 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)).
% 0.45/0.72 Following clause subsumed by 1038 during input processing: 0 [] {-} hBOOL(hAPP(c_lessequals(c_Int_OBit1(A),tc_Int_Oint),c_Int_OBit1(B)))| -hBOOL(hAPP(c_lessequals(A,tc_Int_Oint),B)).
% 0.45/0.72 Following clause subsumed by 1039 during input processing: 0 [] {-} hBOOL(hAPP(c_lessequals(A,tc_Int_Oint),B))| -hBOOL(hAPP(c_lessequals(c_Int_OBit1(A),tc_Int_Oint),c_Int_OBit1(B))).
% 0.45/0.72 Following clause subsumed by 1040 during input processing: 0 [] {-} hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Int_OBit1(A),tc_Int_Oint),c_Int_OBit1(B)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_Int_Oint),B)).
% 0.45/0.72 Following clause subsumed by 1041 during input processing: 0 [] {-} hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_Int_Oint),B))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Int_OBit1(A),tc_Int_Oint),c_Int_OBit1(B))).
% 0.45/0.72 Following clause subsumed by 1046 during input processing: 0 [flip.1] {-} c_Int_OPls!=c_Int_OMin.
% 0.45/0.72 Following clause subsumed by 541 during input processing: 0 [] {-} -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Int_OPls,tc_Int_Oint),c_Int_OPls)).
% 0.45/0.72 Following clause subsumed by 1047 during input processing: 0 [] {-} hBOOL(hAPP(c_lessequals(c_Int_OBit1(A),tc_Int_Oint),c_Int_OBit0(B)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_Int_Oint),B)).
% 0.45/0.72 Following clause subsumed by 1048 during input processing: 0 [] {-} hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_Int_Oint),B))| -hBOOL(hAPP(c_lessequals(c_Int_OBit1(A),tc_Int_Oint),c_Int_OBit0(B))).
% 0.45/0.72 Following clause subsumed by 1049 during input processing: 0 [] {-} hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Int_OBit0(A),tc_Int_Oint),c_Int_OBit1(B)))| -hBOOL(hAPP(c_lessequals(A,tc_Int_Oint),B)).
% 0.45/0.72 Following clause subsumed by 1050 during input processing: 0 [] {-} hBOOL(hAPP(c_lessequals(A,tc_Int_Oint),B))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Int_OBit0(A),tc_Int_Oint),c_Int_OBit1(B))).
% 0.45/0.72 Following clause subsumed by 1052 during input processing: 0 [] {-} c_Int_OBit0(A)!=c_Int_OMin.
% 0.45/0.72 Following clause subsumed by 1053 during input processing: 0 [] {-} hBOOL(hAPP(c_lessequals(c_Int_OBit0(A),tc_Int_Oint),c_Int_OBit0(B)))| -hBOOL(hAPP(c_lessequals(A,tc_Int_Oint),B)).
% 0.45/0.72 Following clause subsumed by 1054 during input processing: 0 [] {-} hBOOL(hAPP(c_lessequals(A,tc_Int_Oint),B))| -hBOOL(hAPP(c_lessequals(c_Int_OBit0(A),tc_Int_Oint),c_Int_OBit0(B))).
% 0.45/0.72 Following clause subsumed by 1055 during input processing: 0 [] {-} hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Int_OBit0(A),tc_Int_Oint),c_Int_OBit0(B)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_Int_Oint),B)).
% 0.45/0.72 Following clause subsumed by 1056 during input processing: 0 [] {-} hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_Int_Oint),B))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Int_OBit0(A),tc_Int_Oint),c_Int_OBit0(B))).
% 0.45/0.72 Following clause subsumed by 1063 during input processing: 0 [] {-} hBOOL(hAPP(c_lessequals(A,tc_nat),B))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),C))| -hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),C),A),tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),C),B))).
% 0.45/0.72 Following clause subsumed by 1081 during input processing: 0 [] {-} -class_Lattices_Olower__semilattice(A)|hBOOL(hAPP(c_lessequals(B,A),C))| -hBOOL(hAPP(c_lessequals(B,A),c_Lattices_Olower__semilattice__class_Oinf(D,C,A))).
% 0.45/0.72 Following clause subsumed by 1082 during input processing: 0 [] {-} -class_Lattices_Olower__semilattice(A)|hBOOL(hAPP(c_lessequals(B,A),C))| -hBOOL(hAPP(c_lessequals(B,A),c_Lattices_Olower__semilattice__class_Oinf(C,D,A))).
% 0.45/0.72 Following clause subsumed by 1087 during input processing: 0 [] {-} -class_Lattices_Olower__semilattice(A)|hBOOL(hAPP(c_lessequals(B,A),c_Lattices_Olower__semilattice__class_Oinf(C,D,A)))| -hBOOL(hAPP(c_lessequals(B,A),D))| -hBOOL(hAPP(c_lessequals(B,A),C)).
% 0.45/0.72 Following clause subsumed by 1087 during input processing: 0 [] {-} -class_Lattices_Olower__semilattice(A)|hBOOL(hAPP(c_lessequals(B,A),c_Lattices_Olower__semilattice__class_Oinf(C,D,A)))| -hBOOL(hAPP(c_lessequals(B,A),D))| -hBOOL(hAPP(c_lessequals(B,A),C)).
% 0.45/0.72 Following clause subsumed by 1103 during input processing: 0 [] {-} hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_Int_Oint),B))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Int_OBit1(A),tc_Int_Oint),c_Int_OBit0(B))).
% 0.45/0.72 Following clause subsumed by 1104 during input processing: 0 [] {-} hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Int_OBit1(A),tc_Int_Oint),c_Int_OBit0(B)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_Int_Oint),B)).
% 0.45/0.72 Following clause subsumed by 1105 during input processing: 0 [] {-} hBOOL(hAPP(c_lessequals(A,tc_Int_Oint),B))| -hBOOL(hAPP(c_lessequals(c_Int_OBit0(A),tc_Int_Oint),c_Int_OBit1(B))).
% 0.45/0.72 Following clause subsumed by 1106 during input processing: 0 [] {-} hBOOL(hAPP(c_lessequals(c_Int_OBit0(A),tc_Int_Oint),c_Int_OBit1(B)))| -hBOOL(hAPP(c_lessequals(A,tc_Int_Oint),B)).
% 0.45/0.72 Following clause subsumed by 1145 during input processing: 0 [] {-} hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),B),tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),C)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),A))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(B,tc_nat),C)).
% 0.45/0.72 Following clause subsumed by 1144 during input processing: 0 [] {-} hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),B),tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),C),B)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),B))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_nat),C)).
% 0.45/0.72 Following clause subsumed by 1145 during input processing: 0 [] {-} hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),B),tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),C)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(B,tc_nat),C))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),A)).
% 0.45/0.72 Following clause subsumed by 1192 during input processing: 0 [] {-} hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),B)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),C),D))!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),D)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),C),B))|B=D|A=C.
% 0.45/0.72 Following clause subsumed by 1198 during input processing: 0 [] {-} hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),B),tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),C)))| -hBOOL(hAPP(c_lessequals(B,tc_nat),C)).
% 0.45/0.72 Following clause subsumed by 1197 during input processing: 0 [] {-} hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),B),tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),C),B)))| -hBOOL(hAPP(c_lessequals(A,tc_nat),C)).
% 0.45/0.72 Following clause subsumed by 1186 during input processing: 0 [] {-} hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),B)!=c_HOL_Oone__class_Oone(tc_nat)|A=c_HOL_Oone__class_Oone(tc_nat).
% 0.45/0.72 Following clause subsumed by 1188 during input processing: 0 [] {-} hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),B)!=c_HOL_Oone__class_Oone(tc_nat)|B=c_HOL_Oone__class_Oone(tc_nat).
% 0.45/0.72 Following clause subsumed by 757 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(hAPP(c_HOL_Otimes__class_Otimes(A),B),c_Int_Onumber__class_Onumber__of(D,A))))| -hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),c_Int_Onumber__class_Onumber__of(D,A)),A),C)).
% 0.45/0.72 Following clause subsumed by 758 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(hAPP(c_HOL_Otimes__class_Otimes(A),D),c_Int_Onumber__class_Onumber__of(C,A)),A),B))| -hBOOL(hAPP(c_lessequals(B,A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),c_Int_Onumber__class_Onumber__of(C,A)))).
% 0.45/0.72 Following clause subsumed by 757 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(hAPP(c_HOL_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(B,A)),D)))| -hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(B,A)),D),A),C)).
% 0.45/0.72 Following clause subsumed by 643 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(hAPP(c_HOL_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(B,A)),D)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(B,A)),D),A),C)).
% 0.45/0.72 Following clause subsumed by 626 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(hAPP(c_HOL_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(B,A)),D)))|hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),D)).
% 0.45/0.72 Following clause subsumed by 627 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(hAPP(c_HOL_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(C,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))).
% 0.45/0.72 Following clause subsumed by 642 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(hAPP(c_HOL_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(B,A)),D)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(B,A)),D),A),C)).
% 0.45/0.72 Following clause subsumed by 624 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(hAPP(c_HOL_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(B,A)),D),A),C)).
% 0.45/0.72 Following clause subsumed by 625 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(hAPP(c_HOL_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(B,A)),D)))|hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),D)).
% 0.45/0.72 Following clause subsumed by 644 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(hAPP(c_HOL_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(D,A)),C),A),B))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(D,A)),C))).
% 0.45/0.72 Following clause subsumed by 625 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(hAPP(c_HOL_Otimes__class_Otimes(A),B),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))).
% 0.45/0.72 Following clause subsumed by 629 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(hAPP(c_HOL_Otimes__class_Otimes(A),D),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))).
% 0.45/0.72 Following clause subsumed by 628 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),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(D,A)),C))).
% 0.45/0.72 Following clause subsumed by 629 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(hAPP(c_HOL_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(D,A)),C),A),B))|hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),C)).
% 0.45/0.72 Following clause subsumed by 626 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(hAPP(c_HOL_Otimes__class_Otimes(A),B),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))).
% 0.45/0.72 Following clause subsumed by 627 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(hAPP(c_HOL_Otimes__class_Otimes(A),C),c_Int_Onumber__class_Onumber__of(D,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))).
% 0.45/0.72 Following clause subsumed by 630 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(hAPP(c_HOL_Otimes__class_Otimes(A),D),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))).
% 0.45/0.73 Following clause subsumed by 631 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(hAPP(c_HOL_Otimes__class_Otimes(A),B),c_Int_Onumber__class_Onumber__of(C,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)).
% 0.45/0.73 Following clause subsumed by 653 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(hAPP(c_HOL_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(D,A)),C))).
% 0.45/0.73 Following clause subsumed by 738 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(hAPP(c_HOL_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(C,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))).
% 0.45/0.73 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_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(hAPP(c_HOL_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(B,A)),D),A),C)).
% 0.45/0.73 Following clause subsumed by 654 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(hAPP(c_HOL_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(B,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))).
% 0.45/0.73 Following clause subsumed by 758 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(hAPP(c_HOL_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(D,A)),C),A),B))| -hBOOL(hAPP(c_lessequals(B,A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(D,A)),C))).
% 0.45/0.73 Following clause subsumed by 630 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(hAPP(c_HOL_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(D,A)),C),A),B))|hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),C)).
% 0.45/0.73 Following clause subsumed by 631 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(hAPP(c_HOL_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(B,A)),C),A),D))| -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))).
% 0.45/0.73 Following clause subsumed by 642 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(hAPP(c_HOL_Otimes__class_Otimes(A),B),c_Int_Onumber__class_Onumber__of(D,A))))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),c_Int_Onumber__class_Onumber__of(D,A)),A),C)).
% 0.45/0.73 Following clause subsumed by 644 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(hAPP(c_HOL_Otimes__class_Otimes(A),D),c_Int_Onumber__class_Onumber__of(C,A)),A),B))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),c_Int_Onumber__class_Onumber__of(C,A)))).
% 0.45/0.73 Following clause subsumed by 645 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(hAPP(c_HOL_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(D,A)),C),A),B))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(D,A)),C))).
% 0.45/0.73 Following clause subsumed by 624 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(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),c_Int_Onumber__class_Onumber__of(D,A)),A),C)).
% 0.45/0.73 Following clause subsumed by 628 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(B,A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),c_Int_Onumber__class_Onumber__of(C,A)))).
% 0.45/0.73 Following clause subsumed by 643 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(hAPP(c_HOL_Otimes__class_Otimes(A),B),c_Int_Onumber__class_Onumber__of(D,A))))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),c_Int_Onumber__class_Onumber__of(D,A)),A),C)).
% 0.54/0.73 Following clause subsumed by 645 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(hAPP(c_HOL_Otimes__class_Otimes(A),D),c_Int_Onumber__class_Onumber__of(C,A)),A),B))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),c_Int_Onumber__class_Onumber__of(C,A)))).
% 0.54/0.73 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_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(hAPP(c_HOL_Otimes__class_Otimes(A),B),c_Int_Onumber__class_Onumber__of(D,A)),A),C)).
% 0.54/0.73 Following clause subsumed by 654 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(hAPP(c_HOL_Otimes__class_Otimes(A),B),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))).
% 0.54/0.73 Following clause subsumed by 653 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(hAPP(c_HOL_Otimes__class_Otimes(A),D),c_Int_Onumber__class_Onumber__of(C,A)))).
% 0.54/0.73 Following clause subsumed by 738 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(hAPP(c_HOL_Otimes__class_Otimes(A),C),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)).
% 0.54/0.73 Following clause subsumed by 881 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__idom(A)|c_Int_Onumber__class_Onumber__of(B,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),hAPP(hAPP(c_Power_Opower__class_Opower(A),c_HOL_Ozero__class_Ozero(A)),c_Int_Onumber__class_Onumber__of(B,tc_nat))))|hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),c_HOL_Ozero__class_Ozero(A))).
% 0.54/0.73 Following clause subsumed by 1221 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)| -class_RealVector_Ometric__space(B)|c_Lim_OLIM(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(A),C),D,A,A,B),E,c_HOL_Ozero__class_Ozero(A),B,A)| -c_Lim_OLIM(D,E,c_HOL_Ozero__class_Ozero(A),B,A).
% 0.54/0.73 Following clause subsumed by 972 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(hAPP(c_HOL_Otimes__class_Otimes(A),c_HOL_Ozero__class_Ozero(A)),c_Int_Onumber__class_Onumber__of(B,A)),c_Int_Onumber__class_Onumber__of(B,A),A)=c_HOL_Ozero__class_Ozero(A).
% 0.54/0.73 Following clause subsumed by 870 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(hAPP(c_HOL_Otimes__class_Otimes(A),B),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).
% 0.54/0.73 Following clause subsumed by 870 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(hAPP(c_HOL_Otimes__class_Otimes(A),B),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).
% 0.54/0.73 Following clause subsumed by 1224 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(hAPP(c_HOL_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(B,A)),C),C,A)=c_Int_Onumber__class_Onumber__of(B,A).
% 0.54/0.73 Following clause subsumed by 870 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(hAPP(c_HOL_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(B,A)),C),C,A)=c_Int_Onumber__class_Onumber__of(B,A)|C=c_HOL_Ozero__class_Ozero(A).
% 0.54/0.73 Following clause subsumed by 974 during input processing: 0 [flip.4] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_HOL_Oinverse__class_Odivide(B,c_Int_Onumber__class_Onumber__of(C,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).
% 0.54/0.73 Following clause subsumed by 974 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_HOL_Oinverse__class_Odivide(B,c_Int_Onumber__class_Onumber__of(C,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).
% 0.54/0.73 Following clause subsumed by 870 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(hAPP(c_HOL_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(B,A)),C),C,A)=c_Int_Onumber__class_Onumber__of(B,A)|C=c_HOL_Ozero__class_Ozero(A).
% 0.54/0.73 Following clause subsumed by 972 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(hAPP(c_HOL_Otimes__class_Otimes(A),c_HOL_Ozero__class_Ozero(A)),c_Int_Onumber__class_Onumber__of(B,A)),c_Int_Onumber__class_Onumber__of(B,A),A)=c_HOL_Ozero__class_Ozero(A).
% 0.54/0.73 Following clause subsumed by 995 during input processing: 0 [] {-} -class_Ring__and__Field_Osemiring__0(A)| -class_Power_Opower(A)|hAPP(hAPP(c_Power_Opower__class_Opower(A),c_HOL_Ozero__class_Ozero(A)),c_Int_Onumber__class_Onumber__of(B,tc_nat))=c_HOL_Ozero__class_Ozero(A)|c_Int_Onumber__class_Onumber__of(B,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.54/0.73 Following clause subsumed by 994 during input processing: 0 [] {-} -class_Ring__and__Field_Ozero__neq__one(A)| -class_Ring__and__Field_Ono__zero__divisors(A)| -class_Ring__and__Field_Omult__zero(A)| -class_Power_Opower(A)|hAPP(hAPP(c_Power_Opower__class_Opower(A),c_HOL_Ozero__class_Ozero(A)),c_Int_Onumber__class_Onumber__of(B,tc_nat))=c_HOL_Ozero__class_Ozero(A)|c_Int_Onumber__class_Onumber__of(B,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.54/0.73 Following clause subsumed by 1232 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)| -class_Int_Onumber__ring(A)|c_HOL_Oinverse__class_Odivide(B,c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),A),A)=B.
% 0.54/0.73 Following clause subsumed by 1274 during input processing: 0 [] {-} -class_OrderedGroup_Omonoid__mult(A)| -class_Int_Onumber(A)|hAPP(hAPP(c_Power_Opower__class_Opower(A),c_Int_Onumber__class_Onumber__of(B,A)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(B,A)),c_Int_Onumber__class_Onumber__of(B,A)).
% 0.54/0.76 Following clause subsumed by 1293 during input processing: 0 [] {-} hAPP(c_Suc,A)!=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.54/0.76 Following clause subsumed by 1289 during input processing: 0 [flip.2] {-} -class_Int_Onumber__ring(A)|c_HOL_Ozero__class_Ozero(A)=c_Int_Onumber__class_Onumber__of(c_Int_OPls,A).
% 0.54/0.76 Following clause subsumed by 1299 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),c_HOL_Ozero__class_Ozero(A))=c_HOL_Ozero__class_Ozero(A).
% 0.54/0.76 Following clause subsumed by 1300 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_HOL_Ozero__class_Ozero(A)),B)=c_HOL_Ozero__class_Ozero(A).
% 0.54/0.76 Following clause subsumed by 1298 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_HOL_Ozero__class_Ozero(A)),B)=c_HOL_Ozero__class_Ozero(A).
% 0.54/0.76 Following clause subsumed by 1302 during input processing: 0 [] {-} hAPP(c_Suc,A)!=hAPP(c_Suc,B)|A=B.
% 0.54/0.76 Following clause subsumed by 1303 during input processing: 0 [] {-} hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),B)!=hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),C)|A=c_HOL_Ozero__class_Ozero(tc_nat)|B=C.
% 0.54/0.76 Following clause subsumed by 1306 during input processing: 0 [] {-} c_Int_OBit1(A)!=c_Int_OPls.
% 0.54/0.76 Following clause subsumed by 1314 during input processing: 0 [flip.2] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)),D)=hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),C),D)).
% 0.54/0.76 Following clause subsumed by 1314 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)),D)=hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),C),D)).
% 0.54/0.76 Following clause subsumed by 1322 during input processing: 0 [flip.1] {-} hAPP(c_Suc,A)!=A.
% 0.54/0.76 Following clause subsumed by 1315 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),E))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)),E)).
% 0.54/0.76 Following clause subsumed by 1314 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),E))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),C),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),E))).
% 0.54/0.76 Following clause subsumed by 1331 during input processing: 0 [] {-} -class_Ring__and__Field_Ono__zero__divisors(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)!=c_HOL_Ozero__class_Ozero(A)|B=c_HOL_Ozero__class_Ozero(A)|C=c_HOL_Ozero__class_Ozero(A).
% 0.54/0.76 Following clause subsumed by 1341 during input processing: 0 [] {-} c_HOL_Ozero__class_Ozero(tc_nat)!=hAPP(c_Suc,A).
% 0.54/0.76 Following clause subsumed by 1344 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)=hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),C),B).
% 0.54/0.76 227 back subsumes 173.
% 0.54/0.76 228 back subsumes 172.
% 0.54/0.76 248 back subsumes 169.
% 0.54/0.76 250 back subsumes 186.
% 0.54/0.76 296 back subsumes 295.
% 0.54/0.76 310 back subsumes 307.
% 0.54/0.76 311 back subsumes 308.
% 0.54/0.76 390 back subsumes 389.
% 0.54/0.76 407 back subsumes 353.
% 0.54/0.76 437 back subsumes 123.
% 0.54/0.76 480 back subsumes 129.
% 0.54/0.76 497 back subsumes 11.
% 0.54/0.76 549 back subsumes 548.
% 0.54/0.76 560 back subsumes 7.
% 0.54/0.76 561 back subsumes 6.
% 0.54/0.76 562 back subsumes 41.
% 0.54/0.76 562 back subsumes 5.
% 0.54/0.76 563 back subsumes 40.
% 0.54/0.76 563 back subsumes 4.
% 0.54/0.76 614 back subsumes 612.
% 0.54/0.76 615 back subsumes 613.
% 0.54/0.76 670 back subsumes 427.
% 0.54/0.76 826 back subsumes 130.
% 0.54/0.76 870 back subsumes 869.
% 0.54/0.76 Following clause subsumed by 926 during input processing: 0 [copy,921,flip.1] {-} c_Set_Oinsert(A,B,C)!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 0.54/0.78 Following clause subsumed by 921 during input processing: 0 [copy,926,flip.1] {-} c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))!=c_Set_Oinsert(B,C,A).
% 0.54/0.78 1198 back subsumes 1158.
% 0.54/0.78 1198 back subsumes 1062.
% 0.54/0.78 1199 back subsumes 1161.
% 0.54/0.78 1199 back subsumes 1146.
% 0.54/0.78 Following clause subsumed by 1341 during input processing: 0 [copy,1293,flip.1] {-} c_HOL_Ozero__class_Ozero(tc_nat)!=hAPP(c_Suc,A).
% 0.54/0.78 Following clause subsumed by 1348 during input processing: 0 [copy,1310,flip.1] {-} c_Int_OBit0(A)!=c_Int_OBit1(B).
% 0.54/0.78 Following clause subsumed by 1293 during input processing: 0 [copy,1341,flip.1] {-} hAPP(c_Suc,A)!=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.54/0.78 Following clause subsumed by 1310 during input processing: 0 [copy,1348,flip.1] {-} c_Int_OBit1(A)!=c_Int_OBit0(B).
% 0.54/0.78 1552 back subsumes 1551.
% 0.54/0.78
% 0.54/0.78 ------------> process sos:
% 0.54/0.78 Following clause subsumed by 1606 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)).
% 0.54/0.78 Following clause subsumed by 1606 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.
% 0.54/0.78 Following clause subsumed by 1611 during input processing: 0 [] {-} c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B),tc_nat)|c_Parity_Oeven__odd__class_Oeven(B,tc_nat)|c_Parity_Oeven__odd__class_Oeven(A,tc_nat).
% 0.54/0.78 Following clause subsumed by 1611 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(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B),tc_nat).
% 0.54/0.78 Following clause subsumed by 1615 during input processing: 0 [] {-} hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_nat),hAPP(c_Suc,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)))).
% 0.54/0.78 Following clause subsumed by 1673 during input processing: 0 [] {-} hBOOL(hAPP(c_lessequals(A,tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B))).
% 0.54/0.78 Following clause subsumed by 1673 during input processing: 0 [] {-} hBOOL(hAPP(c_lessequals(A,tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B))).
% 0.54/0.78 Following clause subsumed by 1682 during input processing: 0 [] {-} hBOOL(hAPP(c_lessequals(A,tc_nat),A)).
% 0.54/0.78 Following clause subsumed by 1682 during input processing: 0 [] {-} hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.54/0.78 Following clause subsumed by 1629 during input processing: 0 [] {-} c_Set_Oinsert(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C)=c_Set_Oinsert(B,c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C).
% 0.54/0.78 Following clause subsumed by 1705 during input processing: 0 [demod,1625] {-} c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 0.54/0.78 Following clause subsumed by 1705 during input processing: 0 [demod,1725,1723] {-} hAPP(c_Suc,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B))=hAPP(c_Suc,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)).
% 0.54/0.78 Following clause subsumed by 1731 during input processing: 0 [] {-} hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),hAPP(c_Suc,A))).
% 0.54/0.78 Following clause subsumed by 1705 during input processing: 0 [demod,1703] {-} hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))=hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)).
% 0.54/0.78 Following clause subsumed by 1705 during input processing: 0 [demod,1723,1703] {-} hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))=hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)).
% 0.54/0.78 Following clause subsumed by 1705 during input processing: 0 [demod,1736,1736,1703] {-} c_HOL_Oone__class_Oone(tc_nat)=c_HOL_Oone__class_Oone(tc_nat).
% 0.54/0.78 Following clause subsumed by 1705 during input processing: 0 [demod,1736,1622,1736,1736] {-} c_HOL_Oone__class_Oone(tc_nat)=c_HOL_Oone__class_Oone(tc_nat).
% 0.54/0.78 Following clause subsumed by 1730 during input processing: 0 [] {-} hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_nat),hAPP(c_Suc,A))).
% 0.54/0.78 Following clause subsumed by 1730 during input processing: 0 [] {-} hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_nat),hAPP(c_Suc,A))).
% 0.54/0.78 Following clause subsumed by 1682 during input processing: 0 [] {-} hBOOL(hAPP(c_lessequals(hAPP(c_Suc,A),tc_nat),hAPP(c_Suc,A))).
% 0.54/0.78 Following clause subsumed by 1705 during input processing: 0 [demod,1746] {-} c_Int_OMin=c_Int_OMin.
% 0.54/0.78 Following clause subsumed by 1683 during input processing: 0 [] {-} hBOOL(hAPP(c_lessequals(c_Int_OPls,tc_Int_Oint),c_Int_OPls)).
% 0.54/0.78 Following clause subsumed by 1705 during input processing: 0 [demod,1756] {-} c_Divides_Odiv__class_Odiv(hAPP(c_Suc,hAPP(c_Suc,hAPP(c_Suc,A))),c_Int_Onumber__class_Onumber__of(B,tc_nat),tc_nat)=c_Divides_Odiv__class_Odiv(hAPP(c_Suc,hAPP(c_Suc,hAPP(c_Suc,A))),c_Int_Onumber__class_Onumber__of(B,tc_nat),tc_nat).
% 0.54/0.78 Following clause subsumed by 1705 during input processing: 0 [demod,1762] {-} c_Divides_Odiv__class_Omod(hAPP(c_Suc,hAPP(c_Suc,hAPP(c_Suc,A))),c_Int_Onumber__class_Onumber__of(B,tc_nat),tc_nat)=c_Divides_Odiv__class_Omod(hAPP(c_Suc,hAPP(c_Suc,hAPP(c_Suc,A))),c_Int_Onumber__class_Onumber__of(B,tc_nat),tc_nat).
% 0.54/0.78 Following clause subsumed by 1799 during input processing: 0 [demod,1790,1790] {-} hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),C))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),C),B)).
% 0.54/0.78 Following clause subsumed by 1705 during input processing: 0 [demod,1797] {-} c_HOL_Oone__class_Oone(tc_nat)=c_HOL_Oone__class_Oone(tc_nat).
% 0.54/0.78 Following clause subsumed by 1705 during input processing: 0 [demod,1841] {-} c_HOL_Oone__class_Oone(tc_nat)=c_HOL_Oone__class_Oone(tc_nat).
% 0.54/0.78 Following clause subsumed by 1705 during input processing: 0 [demod,1768,1723,1622] {-} hAPP(c_Suc,hAPP(c_Suc,A))=hAPP(c_Suc,hAPP(c_Suc,A)).
% 0.54/0.78 Following clause subsumed by 1705 during input processing: 0 [demod,1768,1725,1619] {-} hAPP(c_Suc,hAPP(c_Suc,A))=hAPP(c_Suc,hAPP(c_Suc,A)).
% 0.54/0.78 Following clause subsumed by 1705 during input processing: 0 [demod,1768,1782,1797] {-} hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),A)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),A).
% 0.54/0.78 Following clause subsumed by 1705 during input processing: 0 [demod,1874,1753] {-} c_Int_Onumber__class_Onumber__of(c_Int_OMin,tc_nat)=c_Int_Onumber__class_Onumber__of(c_Int_OMin,tc_nat).
% 0.54/0.78 Following clause subsumed by 1705 during input processing: 0 [demod,1888] {-} c_Int_OPls=c_Int_OPls.
% 0.54/0.78 Following clause subsumed by 1705 during input processing: 0 [demod,1753,1894,1753,1894] {-} c_Int_Onumber__class_Onumber__of(c_Int_OMin,tc_nat)=c_Int_Onumber__class_Onumber__of(c_Int_OMin,tc_nat).
% 0.54/0.78 Following clause subsumed by 1705 during input processing: 0 [demod,1753,1897,1753,1897] {-} c_Int_Onumber__class_Onumber__of(c_Int_OMin,tc_nat)=c_Int_Onumber__class_Onumber__of(c_Int_OMin,tc_nat).
% 0.54/0.78 Following clause subsumed by 1705 during input processing: 0 [demod,1753,1768,1891] {-} hAPP(c_Suc,hAPP(c_Suc,c_Int_Onumber__class_Onumber__of(c_Int_OMin,tc_nat)))=hAPP(c_Suc,hAPP(c_Suc,c_Int_Onumber__class_Onumber__of(c_Int_OMin,tc_nat))).
% 0.54/0.78 Following clause subsumed by 1705 during input processing: 0 [demod,1918] {-} hAPP(A,hAPP(B,F))=hAPP(A,hAPP(B,F)).
% 0.54/0.78 Following clause subsumed by 1705 during input processing: 0 [] {-} A=A.
% 0.54/0.78 Following clause subsumed by 1628 during input processing: 0 [copy,1628,flip.1] {-} hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),C))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),C)).
% 0.54/0.78 Following clause subsumed by 1629 during input processing: 0 [copy,1629,flip.1] {-} c_Set_Oinsert(A,c_Set_Oinsert(B,C,D),D)=c_Set_Oinsert(B,c_Set_Oinsert(A,C,D),D).
% 0.54/0.78 Following clause subsumed by 1645 during input processing: 0 [copy,1645,flip.1] {-} c_Lattices_Oupper__semilattice__class_Osup(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(A,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool)).
% 0.61/0.83 Following clause subsumed by 1648 during input processing: 0 [copy,1648,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).
% 0.61/0.83 Following clause subsumed by 1652 during input processing: 0 [copy,1652,flip.1] {-} c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(B,A,tc_fun(C,tc_bool)).
% 0.61/0.83 Following clause subsumed by 1666 during input processing: 0 [copy,1666,flip.1] {-} hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),A).
% 0.61/0.83 1682 back subsumes 1413.
% 0.61/0.83 1683 back subsumes 1602.
% 0.61/0.83 Following clause subsumed by 1705 during input processing: 0 [copy,1705,flip.1] {-} A=A.
% 0.61/0.83 1705 back subsumes 1578.
% 0.61/0.83 1705 back subsumes 1532.
% 0.61/0.83 1705 back subsumes 1531.
% 0.61/0.83 1705 back subsumes 1449.
% 0.61/0.83 1705 back subsumes 1448.
% 0.61/0.83 1705 back subsumes 1447.
% 0.61/0.83 1705 back subsumes 1427.
% 0.61/0.83 1705 back subsumes 1415.
% 0.61/0.83 1705 back subsumes 1382.
% 0.61/0.83 1705 back subsumes 1375.
% 0.61/0.83 1705 back subsumes 1370.
% 0.61/0.83 1705 back subsumes 1369.
% 0.61/0.83 1705 back subsumes 1368.
% 0.61/0.83 1705 back subsumes 1367.
% 0.61/0.83 1705 back subsumes 1366.
% 0.61/0.83 1705 back subsumes 1365.
% 0.61/0.83 Following clause subsumed by 1799 during input processing: 0 [copy,1799,flip.1] {-} hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),C))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),C),B)).
% 0.61/0.83 Following clause subsumed by 1911 during input processing: 0 [copy,1911,flip.1] {-} c_Lattices_Olower__semilattice__class_Oinf(A,c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Olower__semilattice__class_Oinf(A,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool)).
% 0.61/0.83 Following clause subsumed by 1916 during input processing: 0 [copy,1916,flip.1] {-} hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),B)=hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),B),A).
% 0.61/0.83 Following clause subsumed by 1921 during input processing: 0 [copy,1919,flip.1] {-} c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=c_Set_Oimage(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C,A).
% 0.61/0.83 Following clause subsumed by 1920 during input processing: 0 [copy,1920,flip.1] {-} c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(B,A,tc_fun(C,tc_bool)).
% 0.61/0.83 Following clause subsumed by 1919 during input processing: 0 [copy,1921,flip.1] {-} c_Set_Oimage(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B,C)=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 0.61/0.83 Following clause subsumed by 2318 during input processing: 0 [copy,2026,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,hAPP(c_Suc,c_Int_Onumber__class_Onumber__of(c_Int_OMin,tc_nat)),tc_nat),B,tc_nat).
% 0.61/0.83 Following clause subsumed by 1642 during input processing: 0 [copy,2035,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,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),C),tc_nat).
% 0.61/0.83 Following clause subsumed by 1653 during input processing: 0 [copy,2037,flip.1] {-} c_Set_Oinsert(A,B,C)=c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),B,tc_fun(C,tc_bool)).
% 0.61/0.83 Following clause subsumed by 1660 during input processing: 0 [copy,2038,flip.1] {-} c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(A,B,C),D,tc_fun(C,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(B,c_Set_Oinsert(A,D,C),tc_fun(C,tc_bool)).
% 0.61/0.83 Following clause subsumed by 2102 during input processing: 0 [copy,2048,flip.1] {-} c_HOL_Ominus__class_Ominus(A,A,tc_nat)=c_Int_Onumber__class_Onumber__of(c_Int_OMin,tc_nat).
% 0.61/0.83 Following clause subsumed by 2048 during input processing: 0 [copy,2102,flip.1] {-} c_Int_Onumber__class_Onumber__of(c_Int_OMin,tc_nat)=c_HOL_Ominus__class_Ominus(A,A,tc_nat).
% 0.61/0.83 Following clause subsumed by 1780 during input processing: 0 [copy,2271,flip.1] {-} hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(c_Suc,A)),B)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),B)).
% 0.61/0.83 Following clause subsumed by 1785 during input processing: 0 [copy,2274,flip.1] {-} c_Divides_Odiv__class_Odiv(A,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),B),C),tc_nat)=c_Divides_Odiv__class_Odiv(c_Divides_Odiv__class_Odiv(A,B,tc_nat),C,tc_nat).
% 0.61/0.83 Following clause subsumed by 1787 during input processing: 0 [copy,2275,flip.1] {-} hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)),C)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),C)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),B),C)).
% 0.61/0.83 Following clause subsumed by 1812 during input processing: 0 [copy,2293,flip.1] {-} c_Set_Oimage(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),D,E)=c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(A,B,D,E),c_Set_Oimage(A,C,D,E),tc_fun(E,tc_bool)).
% 0.61/0.83 Following clause subsumed by 1845 during input processing: 0 [copy,2295,flip.1] {-} c_SetInterval_Oord__class_OatLeastLessThan(A,hAPP(c_Suc,A),tc_nat)=c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool)),tc_nat).
% 0.61/0.83 Following clause subsumed by 2302 during input processing: 0 [copy,2296,flip.1] {-} c_Divides_Odiv__class_Odiv(hAPP(c_Suc,hAPP(c_Suc,A)),hAPP(c_Suc,hAPP(c_Suc,c_Int_Onumber__class_Onumber__of(c_Int_OMin,tc_nat))),tc_nat)=hAPP(c_Suc,c_Divides_Odiv__class_Odiv(A,hAPP(c_Suc,hAPP(c_Suc,c_Int_Onumber__class_Onumber__of(c_Int_OMin,tc_nat))),tc_nat)).
% 0.61/0.83 Following clause subsumed by 2301 during input processing: 0 [copy,2297,flip.1] {-} hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(c_Suc,hAPP(c_Suc,c_Int_Onumber__class_Onumber__of(c_Int_OMin,tc_nat)))),A)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),A).
% 0.61/0.83 Following clause subsumed by 2297 during input processing: 0 [copy,2301,flip.1] {-} hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),A)=hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(c_Suc,hAPP(c_Suc,c_Int_Onumber__class_Onumber__of(c_Int_OMin,tc_nat)))),A).
% 0.61/0.83 Following clause subsumed by 2296 during input processing: 0 [copy,2302,flip.1] {-} hAPP(c_Suc,c_Divides_Odiv__class_Odiv(A,hAPP(c_Suc,hAPP(c_Suc,c_Int_Onumber__class_Onumber__of(c_Int_OMin,tc_nat))),tc_nat))=c_Divides_Odiv__class_Odiv(hAPP(c_Suc,hAPP(c_Suc,A)),hAPP(c_Suc,hAPP(c_Suc,c_Int_Onumber__class_Onumber__of(c_Int_OMin,tc_nat))),tc_nat).
% 0.61/0.83 Following clause subsumed by 1886 during input processing: 0 [copy,2313,flip.1] {-} c_SetInterval_Oord__class_OatLeastLessThan(A,c_Int_Onumber__class_Onumber__of(c_Int_OMin,tc_nat),tc_nat)=c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool)).
% 0.61/0.83 Following clause subsumed by 2026 during input processing: 0 [copy,2318,flip.1] {-} c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,hAPP(c_Suc,c_Int_Onumber__class_Onumber__of(c_Int_OMin,tc_nat)),tc_nat),B,tc_nat)=c_HOL_Ominus__class_Ominus(A,hAPP(c_Suc,B),tc_nat).
% 0.61/0.83 Following clause subsumed by 2023 during input processing: 0 [copy,2336,flip.1] {-} c_COMBC(A,B,C,D,E,F)=hAPP(hAPP(A,C),B).
% 0.61/0.83
% 0.61/0.83 ======= end of input processing =======
% 0.68/0.87
% 0.68/0.87 Input error on line 9: function p_c_Ring__and__Field_Oordered__idom: thing, thing, thing, thing, thing, thing, thing, thing, thing, thing, thing -> bool {no_priority}
% 0.68/0.87
% 0.68/0.87
% 0.68/0.87 Adicity too great for function p_c_Ring__and__Field_Oordered__idom
% 0.68/0.87
%------------------------------------------------------------------------------