TSTP Solution File: SWV701-1 by SOS---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : SWV701-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n014.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 21:39:56 EDT 2022
% Result : Unknown 0.59s 0.83s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SWV701-1 : TPTP v8.1.0. Released v4.1.0.
% 0.10/0.13 % Command : sos-script %s
% 0.13/0.34 % Computer : n014.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Tue Jun 14 20:34:21 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.50 ----- Otter 3.2, August 2001 -----
% 0.19/0.50 The process was started by sandbox on n014.cluster.edu,
% 0.19/0.50 Tue Jun 14 20:34:21 2022
% 0.19/0.50 The command was "./sos". The process ID is 12493.
% 0.19/0.50
% 0.19/0.50 set(prolog_style_variables).
% 0.19/0.50 set(auto).
% 0.19/0.50 dependent: set(auto1).
% 0.19/0.50 dependent: set(process_input).
% 0.19/0.50 dependent: clear(print_kept).
% 0.19/0.50 dependent: clear(print_new_demod).
% 0.19/0.50 dependent: clear(print_back_demod).
% 0.19/0.50 dependent: clear(print_back_sub).
% 0.19/0.50 dependent: set(control_memory).
% 0.19/0.50 dependent: assign(max_mem, 12000).
% 0.19/0.50 dependent: assign(pick_given_ratio, 4).
% 0.19/0.50 dependent: assign(stats_level, 1).
% 0.19/0.50 dependent: assign(pick_semantic_ratio, 3).
% 0.19/0.50 dependent: assign(sos_limit, 5000).
% 0.19/0.50 dependent: assign(max_weight, 60).
% 0.19/0.50 clear(print_given).
% 0.19/0.50
% 0.19/0.50 list(usable).
% 0.19/0.50
% 0.19/0.50 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=6.
% 0.19/0.50
% 0.19/0.50 This ia a non-Horn set with equality. The strategy will be
% 0.19/0.50 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.19/0.50 unit deletion, with positive clauses in sos and nonpositive
% 0.19/0.50 clauses in usable.
% 0.19/0.50
% 0.19/0.50 dependent: set(knuth_bendix).
% 0.19/0.50 dependent: set(para_from).
% 0.19/0.50 dependent: set(para_into).
% 0.19/0.50 dependent: clear(para_from_right).
% 0.19/0.50 dependent: clear(para_into_right).
% 0.19/0.50 dependent: set(para_from_vars).
% 0.19/0.50 dependent: set(eq_units_both_ways).
% 0.19/0.50 dependent: set(dynamic_demod_all).
% 0.19/0.50 dependent: set(dynamic_demod).
% 0.19/0.50 dependent: set(order_eq).
% 0.19/0.50 dependent: set(back_demod).
% 0.19/0.50 dependent: set(lrpo).
% 0.19/0.50 dependent: set(hyper_res).
% 0.19/0.50 dependent: set(unit_deletion).
% 0.19/0.50 dependent: set(factor).
% 0.19/0.50
% 0.19/0.50 ------------> process usable:
% 0.19/0.50 Following clause subsumed by 8 during input processing: 0 [] {-} -class_Ring__and__Field_Opordered__ring(A)|c_lessequals(c_HOL_Ozero__class_Ozero(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C),A)| -c_lessequals(C,c_HOL_Ozero__class_Ozero(A),A)| -c_lessequals(B,c_HOL_Ozero__class_Ozero(A),A).
% 0.19/0.50 Following clause subsumed by 58 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C| -c_lessequals(C,B,A)| -c_lessequals(B,C,A).
% 0.19/0.50 Following clause subsumed by 58 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C| -c_lessequals(C,B,A)| -c_lessequals(B,C,A).
% 0.19/0.50 Following clause subsumed by 81 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).
% 0.19/0.50 Following clause subsumed by 83 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).
% 0.19/0.50 Following clause subsumed by 82 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).
% 0.19/0.50 Following clause subsumed by 82 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).
% 0.19/0.50 Following clause subsumed by 83 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).
% 0.19/0.50 Following clause subsumed by 81 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).
% 0.19/0.50 Following clause subsumed by 89 during input processing: 0 [flip.2] {-} -class_OrderedGroup_Oab__group__add(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),c_HOL_Ouminus__class_Ouminus(C,A))=c_HOL_Ominus__class_Ominus(B,C,A).
% 0.19/0.50 Following clause subsumed by 110 during input processing: 0 [flip.1] {-} hAPP(hAPP(A,hAPP(hAPP(A,B),C)),D)=hAPP(hAPP(A,B),hAPP(hAPP(A,C),D))| -c_Groebner__Basis_Ogb__semiring(E,A,F,G,H,I).
% 0.19/0.50 Following clause subsumed by 113 during input processing: 0 [flip.1] {-} hAPP(hAPP(A,hAPP(hAPP(A,B),C)),D)=hAPP(hAPP(A,B),hAPP(hAPP(A,C),D))| -c_Groebner__Basis_Ogb__semiring(A,E,F,G,H,I).
% 0.19/0.50 Following clause subsumed by 98 during input processing: 0 [] {-} hAPP(hAPP(A,B),C)=C| -c_Groebner__Basis_Ogb__semiring(A,D,E,B,F,G).
% 0.19/0.50 Following clause subsumed by 113 during input processing: 0 [flip.1] {-} hAPP(hAPP(A,hAPP(hAPP(A,B),C)),D)=hAPP(hAPP(A,B),hAPP(hAPP(A,C),D))| -c_Groebner__Basis_Ogb__semiring(A,E,F,G,H,I).
% 0.19/0.50 Following clause subsumed by 116 during input processing: 0 [] {-} hAPP(hAPP(A,B),C)=hAPP(hAPP(A,C),B)| -c_Groebner__Basis_Ogb__semiring(A,D,E,F,G,H).
% 0.19/0.50 Following clause subsumed by 102 during input processing: 0 [] {-} hAPP(hAPP(A,B),C)=B| -c_Groebner__Basis_Ogb__semiring(D,A,E,B,F,G).
% 0.19/0.50 Following clause subsumed by 104 during input processing: 0 [] {-} hAPP(hAPP(A,B),C)=C| -c_Groebner__Basis_Ogb__semiring(D,A,E,F,B,G).
% 0.19/0.50 Following clause subsumed by 110 during input processing: 0 [flip.1] {-} hAPP(hAPP(A,hAPP(hAPP(A,B),C)),D)=hAPP(hAPP(A,B),hAPP(hAPP(A,C),D))| -c_Groebner__Basis_Ogb__semiring(E,A,F,G,H,I).
% 0.19/0.50 Following clause subsumed by 100 during input processing: 0 [] {-} hAPP(hAPP(A,B),C)=hAPP(hAPP(A,C),B)| -c_Groebner__Basis_Ogb__semiring(D,A,E,F,G,H).
% 0.19/0.50 Following clause subsumed by 124 during input processing: 0 [] {-} -class_OrderedGroup_Opordered__ab__group__add__abs(A)|c_lessequals(c_HOL_Oabs__class_Oabs(B,A),C,A)| -c_lessequals(c_HOL_Ouminus__class_Ouminus(B,A),C,A)| -c_lessequals(B,C,A).
% 0.19/0.50 Following clause subsumed by 127 during input processing: 0 [] {-} hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),C)|B=C.
% 0.19/0.50 Following clause subsumed by 131 during input processing: 0 [] {-} -class_Ring__and__Field_Opordered__cancel__semiring(A)|c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C),c_HOL_Ozero__class_Ozero(A),A)| -c_lessequals(C,c_HOL_Ozero__class_Ozero(A),A)| -c_lessequals(c_HOL_Ozero__class_Ozero(A),B,A).
% 0.19/0.50 Following clause subsumed by 132 during input processing: 0 [] {-} -class_Ring__and__Field_Opordered__cancel__semiring(A)|c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C),c_HOL_Ozero__class_Ozero(A),A)| -c_lessequals(c_HOL_Ozero__class_Ozero(A),C,A)| -c_lessequals(B,c_HOL_Ozero__class_Ozero(A),A).
% 0.19/0.50 Following clause subsumed by 132 during input processing: 0 [] {-} -class_Ring__and__Field_Opordered__cancel__semiring(A)|c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C),c_HOL_Ozero__class_Ozero(A),A)| -c_lessequals(B,c_HOL_Ozero__class_Ozero(A),A)| -c_lessequals(c_HOL_Ozero__class_Ozero(A),C,A).
% 0.19/0.50 Following clause subsumed by 155 during input processing: 0 [] {-} -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ominus__class_Ominus(B,B,A)=c_HOL_Ozero__class_Ozero(A).
% 0.19/0.50 Following clause subsumed by 166 during input processing: 0 [] {-} hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)!=A|B=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.19/0.50 Following clause subsumed by 199 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__idom(A)|c_lessequals(c_HOL_Ozero__class_Ozero(A),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C),A)| -c_Parity_Oeven__odd__class_Oeven(C,tc_nat).
% 0.19/0.50 Following clause subsumed by 202 during input processing: 0 [] {-} -class_OrderedGroup_Ogroup__add(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),c_HOL_Ouminus__class_Ouminus(B,A)),B)=c_HOL_Ozero__class_Ozero(A).
% 0.19/0.50 Following clause subsumed by 22 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__idom(A)|c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(A),B),c_Int_Onumber__class_Onumber__of(C,tc_nat)),c_HOL_Ozero__class_Ozero(A),A)| -c_lessequals(B,c_HOL_Ozero__class_Ozero(A),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).
% 0.19/0.50 Following clause subsumed by 144 during input processing: 0 [] {-} -class_Ring__and__Field_Ozero__neq__one(A)|c_HOL_Ozero__class_Ozero(A)!=c_HOL_Oone__class_Oone(A).
% 0.19/0.51 Following clause subsumed by 199 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__idom(A)|c_lessequals(c_HOL_Ozero__class_Ozero(A),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),c_Int_Onumber__class_Onumber__of(C,tc_nat)),A)| -c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(C,tc_nat),tc_nat).
% 0.19/0.51 Following clause subsumed by 237 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)).
% 0.19/0.51 Following clause subsumed by 43 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).
% 0.19/0.51 Following clause subsumed by 17 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)| -c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(A),B),c_Int_Onumber__class_Onumber__of(C,tc_nat)),c_HOL_Ozero__class_Ozero(A),A).
% 0.19/0.51 Following clause subsumed by 201 during input processing: 0 [flip.2] {-} -class_Int_Onumber__ring(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(A),A)=c_Int_Onumber__class_Onumber__of(c_Int_OMin,A).
% 0.19/0.51 Following clause subsumed by 284 during input processing: 0 [] {-} hAPP(c_Suc,c_HOL_Ominus__class_Ominus(A,c_HOL_Oone__class_Oone(tc_nat),tc_nat))=A| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),A,tc_nat).
% 0.19/0.51 Following clause subsumed by 295 during input processing: 0 [] {-} -hBOOL(hAPP(A,c_HOL_Ozero__class_Ozero(tc_nat)))|hBOOL(hAPP(A,c_Divides_Odiv__class_Odiv(B,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))).
% 0.19/0.51 Following clause subsumed by 292 during input processing: 0 [] {-} -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(A),A)=c_HOL_Ozero__class_Ozero(A).
% 0.19/0.51 Following clause subsumed by 196 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)|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)),c_HOL_Ozero__class_Ozero(A),A).
% 0.19/0.51 Following clause subsumed by 306 during input processing: 0 [flip.2] {-} -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(B,A),A)=B.
% 0.19/0.51 Following clause subsumed by 306 during input processing: 0 [flip.2] {-} -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(B,A),A)=B.
% 0.19/0.51 Following clause subsumed by 306 during input processing: 0 [] {-} -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(B,A),A)=B.
% 0.19/0.51 Following clause subsumed by 310 during input processing: 0 [] {-} -class_OrderedGroup_Opordered__ab__group__add(A)|c_lessequals(c_HOL_Ouminus__class_Ouminus(B,A),C,A)| -c_lessequals(c_HOL_Ouminus__class_Ouminus(C,A),B,A).
% 0.19/0.51 Following clause subsumed by 311 during input processing: 0 [] {-} -class_OrderedGroup_Opordered__ab__group__add(A)|c_lessequals(B,c_HOL_Ouminus__class_Ouminus(C,A),A)| -c_lessequals(C,c_HOL_Ouminus__class_Ouminus(B,A),A).
% 0.19/0.51 Following clause subsumed by 322 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_lessequals(B,C,A)|C=B.
% 0.19/0.51 Following clause subsumed by 323 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|B=C| -c_lessequals(B,C,A)|c_HOL_Oord__class_Oless(B,C,A).
% 0.19/0.51 Following clause subsumed by 324 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)|B=C| -c_lessequals(B,C,A).
% 0.19/0.51 Following clause subsumed by 324 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C|c_HOL_Oord__class_Oless(B,C,A)| -c_lessequals(B,C,A).
% 0.19/0.51 Following clause subsumed by 324 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)|B=C| -c_lessequals(B,C,A).
% 0.19/0.51 Following clause subsumed by 330 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,B,A)|c_lessequals(B,B,A).
% 0.19/0.51 Following clause subsumed by 330 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_lessequals(B,C,A)|c_HOL_Oord__class_Oless(C,B,A).
% 0.19/0.51 Following clause subsumed by 330 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,C,A)|c_lessequals(C,B,A).
% 0.19/0.51 Following clause subsumed by 332 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -c_lessequals(B,C,A)| -c_HOL_Oord__class_Oless(C,B,A).
% 0.19/0.51 Following clause subsumed by 333 during input processing: 0 [] {-} -class_OrderedGroup_Opordered__ab__group__add(A)|c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(B,A),C,A)| -c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(C,A),B,A).
% 0.19/0.51 Following clause subsumed by 334 during input processing: 0 [] {-} -class_OrderedGroup_Opordered__ab__group__add(A)|c_HOL_Oord__class_Oless(B,c_HOL_Ouminus__class_Ouminus(C,A),A)| -c_HOL_Oord__class_Oless(C,c_HOL_Ouminus__class_Ouminus(B,A),A).
% 0.19/0.51 Following clause subsumed by 369 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),c_HOL_Ozero__class_Ozero(A))=c_HOL_Ozero__class_Ozero(A).
% 0.19/0.51 Following clause subsumed by 370 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_HOL_Ozero__class_Ozero(A)),B)=c_HOL_Ozero__class_Ozero(A).
% 0.19/0.51 Following clause subsumed by 368 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_HOL_Ozero__class_Ozero(A)),B)=c_HOL_Ozero__class_Ozero(A).
% 0.19/0.51 Following clause subsumed by 378 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),c_HOL_Ouminus__class_Ouminus(C,A))=c_HOL_Ouminus__class_Ouminus(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C),A).
% 0.19/0.51 Following clause subsumed by 379 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_HOL_Ouminus__class_Ouminus(B,A)),C)=c_HOL_Ouminus__class_Ouminus(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C),A).
% 0.19/0.51 Following clause subsumed by 243 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__idom(A)|c_lessequals(c_HOL_Ozero__class_Ozero(A),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C),A)| -c_lessequals(c_HOL_Ozero__class_Ozero(A),B,A)|c_Parity_Oeven__odd__class_Oeven(C,tc_nat).
% 0.19/0.51 Following clause subsumed by 401 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__idom(A)|c_lessequals(c_HOL_Ozero__class_Ozero(A),B,A)| -c_lessequals(c_HOL_Ozero__class_Ozero(A),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C),A)|c_Parity_Oeven__odd__class_Oeven(C,tc_nat).
% 0.19/0.51 Following clause subsumed by 243 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__idom(A)|c_lessequals(c_HOL_Ozero__class_Ozero(A),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C),A)| -c_lessequals(c_HOL_Ozero__class_Ozero(A),B,A)|c_Parity_Oeven__odd__class_Oeven(C,tc_nat).
% 0.19/0.51 Following clause subsumed by 401 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__idom(A)|c_lessequals(c_HOL_Ozero__class_Ozero(A),B,A)|c_Parity_Oeven__odd__class_Oeven(C,tc_nat)| -c_lessequals(c_HOL_Ozero__class_Ozero(A),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C),A).
% 0.19/0.51 Following clause subsumed by 423 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__ring__strict(A)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D),A)| -c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(D,C,A).
% 0.19/0.51 Following clause subsumed by 425 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__ring__strict(A)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D),A)| -c_HOL_Oord__class_Oless(C,D,A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),B,A).
% 0.19/0.51 Following clause subsumed by 423 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__ring__strict(A)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D),A)| -c_HOL_Oord__class_Oless(D,C,A)| -c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A).
% 0.19/0.51 Following clause subsumed by 427 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__ring__strict(A)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),C),A)| -c_HOL_Oord__class_Oless(D,B,A)| -c_HOL_Oord__class_Oless(C,c_HOL_Ozero__class_Ozero(A),A).
% 0.19/0.51 Following clause subsumed by 436 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__semiring__strict(A)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C),c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),C,A).
% 0.19/0.51 Following clause subsumed by 332 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -class_Int_Onumber(A)| -c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(B,A),c_Int_Onumber__class_Onumber__of(C,A),A)| -c_lessequals(c_Int_Onumber__class_Onumber__of(C,A),c_Int_Onumber__class_Onumber__of(B,A),A).
% 0.19/0.51 Following clause subsumed by 330 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -class_Int_Onumber(A)|c_lessequals(c_Int_Onumber__class_Onumber__of(B,A),c_Int_Onumber__class_Onumber__of(C,A),A)|c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(C,A),c_Int_Onumber__class_Onumber__of(B,A),A).
% 0.19/0.51 Following clause subsumed by 461 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).
% 0.19/0.51 Following clause subsumed by 472 during input processing: 0 [] {-} -class_Ring__and__Field_Ono__zero__divisors(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)!=c_HOL_Ozero__class_Ozero(A)|B=c_HOL_Ozero__class_Ozero(A)|C=c_HOL_Ozero__class_Ozero(A).
% 0.19/0.51 Following clause subsumed by 478 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_HOL_Oone__class_Oone(A)),B)=B.
% 0.19/0.51 Following clause subsumed by 480 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).
% 0.19/0.51 Following clause subsumed by 481 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).
% 0.19/0.51 Following clause subsumed by 474 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).
% 0.19/0.51 Following clause subsumed by 490 during input processing: 0 [flip.2] {-} -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.
% 0.19/0.51 Following clause subsumed by 509 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).
% 0.19/0.51 Following clause subsumed by 508 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).
% 0.19/0.51 Following clause subsumed by 534 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),c_HOL_Ozero__class_Ozero(A)),B)=B.
% 0.19/0.51 Following clause subsumed by 60 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)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),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_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(B,tc_nat),tc_nat).
% 0.19/0.51 Following clause subsumed by 178 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__idom(A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),B,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)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),c_Int_Onumber__class_Onumber__of(C,tc_nat)),A).
% 0.19/0.51 Following clause subsumed by 560 during input processing: 0 [] {-} hAPP(c_Suc,A)!=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.19/0.51 Following clause subsumed by 574 during input processing: 0 [] {-} -class_Int_Onumber__ring(A)|c_HOL_Ozero__class_Ozero(A)=c_Int_Onumber__class_Onumber__of(c_Int_OPls,A).
% 0.19/0.51 Following clause subsumed by 585 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),B),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),C),tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),A,tc_nat)| -c_HOL_Oord__class_Oless(B,C,tc_nat).
% 0.19/0.51 Following clause subsumed by 584 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),B),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),C),B),tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),B,tc_nat)| -c_HOL_Oord__class_Oless(A,C,tc_nat).
% 0.19/0.51 Following clause subsumed by 585 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),B),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),C),tc_nat)| -c_HOL_Oord__class_Oless(B,C,tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),A,tc_nat).
% 0.19/0.51 Following clause subsumed by 595 during input processing: 0 [] {-} A=c_HOL_Ozero__class_Ozero(tc_nat)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),B,tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),B),A),tc_nat).
% 0.19/0.51 Following clause subsumed by 614 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__semidom(A)|c_HOL_Oord__class_Oless(B,C,tc_nat)| -c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(A),D),B),hAPP(hAPP(c_Power_Opower__class_Opower(A),D),C),A)| -c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(A),D,A).
% 0.19/0.51 Following clause subsumed by 615 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__semidom(A)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),D),A)| -c_HOL_Oord__class_Oless(C,D,tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(A),B,A).
% 0.19/0.51 Following clause subsumed by 567 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__idom(A)|c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(A),B),c_Int_Onumber__class_Onumber__of(C,tc_nat)),c_HOL_Ozero__class_Ozero(A),A).
% 0.19/0.51 Following clause subsumed by 544 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__semidom(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_lessequals(c_HOL_Ozero__class_Ozero(A),C,A)| -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)),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)),A).
% 0.19/0.51 Following clause subsumed by 625 during input processing: 0 [] {-} hAPP(hAPP(A,B),hAPP(c_Suc,C))=hAPP(hAPP(D,B),hAPP(hAPP(A,B),C))| -c_Groebner__Basis_Ogb__semiring(E,D,A,F,G,H).
% 0.19/0.51 Following clause subsumed by 628 during input processing: 0 [] {-} c_HOL_Ozero__class_Ozero(tc_nat)!=hAPP(c_Suc,A).
% 0.19/0.51 Following clause subsumed by 630 during input processing: 0 [flip.1] {-} c_Int_OPls!=c_Int_OMin.
% 0.19/0.51 Following clause subsumed by 652 during input processing: 0 [] {-} -c_HOL_Oord__class_Oless(A,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat).
% 0.19/0.51 Following clause subsumed by 654 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(A,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),C),tc_nat)| -c_HOL_Oord__class_Oless(A,B,tc_nat).
% 0.19/0.51 Following clause subsumed by 655 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(A,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),C),tc_nat)| -c_HOL_Oord__class_Oless(A,C,tc_nat).
% 0.19/0.51 Following clause subsumed by 658 during input processing: 0 [] {-} c_Int_OBit0(A)!=c_Int_OMin.
% 0.19/0.51 Following clause subsumed by 284 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)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Int_Onumber__class_Onumber__of(A,tc_nat),tc_nat).
% 0.19/0.51 Following clause subsumed by 210 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__idom(A)|hAPP(hAPP(c_Power_Opower__class_Opower(A),c_HOL_Oabs__class_Oabs(B,A)),c_Int_Onumber__class_Onumber__of(C,tc_nat))=hAPP(hAPP(c_Power_Opower__class_Opower(A),B),c_Int_Onumber__class_Onumber__of(C,tc_nat))| -c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(C,tc_nat),tc_nat).
% 0.19/0.51 Following clause subsumed by 41 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).
% 0.19/0.51 Following clause subsumed by 40 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).
% 0.19/0.51 Following clause subsumed by 197 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__idom(A)|B=c_HOL_Ozero__class_Ozero(A)|c_lessequals(B,c_HOL_Ozero__class_Ozero(A),A)| -c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(A),B),c_Int_Onumber__class_Onumber__of(C,tc_nat)),c_HOL_Ozero__class_Ozero(A),A).
% 0.19/0.51 Following clause subsumed by 670 during input processing: 0 [] {-} hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),B)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),C),D))!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),D)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),C),B))|B=D|A=C.
% 0.19/0.51 Following clause subsumed by 671 during input processing: 0 [] {-} hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),B)!=hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),C)|A=c_HOL_Ozero__class_Ozero(tc_nat)|B=C.
% 0.19/0.51 Following clause subsumed by 666 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).
% 0.19/0.51 Following clause subsumed by 668 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).
% 0.19/0.52 Following clause subsumed by 595 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),A,tc_nat)|c_Int_Onumber__class_Onumber__of(B,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),A),c_Int_Onumber__class_Onumber__of(B,tc_nat)),tc_nat).
% 0.19/0.52 Following clause subsumed by 596 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),A),c_Int_Onumber__class_Onumber__of(B,tc_nat)),tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),A,tc_nat).
% 0.19/0.52 Following clause subsumed by 726 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),C),B).
% 0.19/0.52 Following clause subsumed by 724 during input processing: 0 [flip.1] {-} c_Int_OBit1(A)!=c_Int_OPls.
% 0.19/0.52 Following clause subsumed by 729 during input processing: 0 [] {-} hAPP(c_Suc,A)!=hAPP(c_Suc,B)|A=B.
% 0.19/0.52 Following clause subsumed by 730 during input processing: 0 [] {-} -class_Ring__and__Field_Oidom(A)| -class_Int_Onumber__ring(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),E))!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),E)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),C))|C=E|B=D.
% 0.19/0.52 Following clause subsumed by 733 during input processing: 0 [] {-} A=B|c_HOL_Oord__class_Oless(A,B,tc_nat)| -c_HOL_Oord__class_Oless(A,hAPP(c_Suc,B),tc_nat).
% 0.19/0.52 Following clause subsumed by 737 during input processing: 0 [] {-} -c_HOL_Oord__class_Oless(A,A,tc_nat).
% 0.19/0.52 Following clause subsumed by 755 during input processing: 0 [] {-} -class_Orderings_Opreorder(A)| -c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(C,B,A).
% 0.19/0.52 Following clause subsumed by 778 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C)),D)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),C),D)).
% 0.19/0.52 Following clause subsumed by 780 during input processing: 0 [flip.2] {-} -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),C),D)).
% 0.19/0.52 Following clause subsumed by 783 during input processing: 0 [flip.2] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)),D)=hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),C),D)).
% 0.19/0.52 Following clause subsumed by 783 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)).
% 0.19/0.52 Following clause subsumed by 796 during input processing: 0 [flip.1] {-} hAPP(c_Suc,A)!=A.
% 0.19/0.52 Following clause subsumed by 802 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|B=C|c_HOL_Oord__class_Oless(B,C,A)|c_HOL_Oord__class_Oless(C,B,A).
% 0.19/0.52 Following clause subsumed by 802 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,C,A)|C=B|c_HOL_Oord__class_Oless(C,B,A).
% 0.19/0.52 Following clause subsumed by 802 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,C,A)|c_HOL_Oord__class_Oless(C,B,A)|C=B.
% 0.19/0.52 Following clause subsumed by 784 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),E))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)),E)).
% 0.19/0.53 Following clause subsumed by 783 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),E))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),C),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),E))).
% 0.19/0.53 Following clause subsumed by 808 during input processing: 0 [] {-} -class_Ring__and__Field_Oidom(A)| -class_Int_Onumber__ring(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)).
% 0.19/0.53 Following clause subsumed by 743 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_Power_Opower__class_Opower(A),B),hAPP(c_Suc,C))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C)).
% 0.19/0.53 Following clause subsumed by 743 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_Power_Opower__class_Opower(A),B),hAPP(c_Suc,C))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C)).
% 0.19/0.53 Following clause subsumed by 814 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)=hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),C),B).
% 0.19/0.53 Following clause subsumed by 820 during input processing: 0 [flip.2] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C)),D)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),C),D)).
% 0.19/0.53 Following clause subsumed by 820 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C)),D)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),C),D)).
% 0.19/0.53 Following clause subsumed by 798 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(A,B,tc_nat)| -c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(c_Suc,C)),A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(c_Suc,C)),B),tc_nat).
% 0.19/0.53 Following clause subsumed by 838 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(hAPP(c_Suc,A),hAPP(c_Suc,B),tc_nat)| -c_HOL_Oord__class_Oless(A,B,tc_nat).
% 0.19/0.53 110 back subsumes 107.
% 0.19/0.53 111 back subsumes 108.
% 0.19/0.53 217 back subsumes 164.
% 0.19/0.53 243 back subsumes 167.
% 0.19/0.53 289 back subsumes 211.
% 0.19/0.53 332 back subsumes 331.
% 0.19/0.53 401 back subsumes 168.
% 0.19/0.53 540 back subsumes 415.
% 0.19/0.53 541 back subsumes 414.
% 0.19/0.53 543 back subsumes 410.
% 0.19/0.53 545 back subsumes 412.
% 0.19/0.53 546 back subsumes 413.
% 0.19/0.53 Following clause subsumed by 628 during input processing: 0 [copy,560,flip.1] {-} c_HOL_Ozero__class_Ozero(tc_nat)!=hAPP(c_Suc,A).
% 0.19/0.53 Following clause subsumed by 560 during input processing: 0 [copy,628,flip.1] {-} hAPP(c_Suc,A)!=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.19/0.53 637 back subsumes 581.
% 0.19/0.53 652 back subsumes 647.
% 0.19/0.53 654 back subsumes 62.
% 0.19/0.53 655 back subsumes 61.
% 0.19/0.53 727 back subsumes 30.
% 0.19/0.53 Following clause subsumed by 837 during input processing: 0 [copy,771,flip.1] {-} c_Int_OBit0(A)!=c_Int_OBit1(B).
% 0.19/0.53 787 back subsumes 725.
% 0.19/0.53 798 back subsumes 586.
% 0.19/0.53 Following clause subsumed by 771 during input processing: 0 [copy,837,flip.1] {-} c_Int_OBit1(A)!=c_Int_OBit0(B).
% 0.19/0.53 874 back subsumes 873.
% 0.19/0.53
% 0.19/0.53 ------------> process sos:
% 0.19/0.53 Following clause subsumed by 978 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).
% 0.19/0.53 Following clause subsumed by 978 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).
% 0.19/0.53 Following clause subsumed by 1055 during input processing: 0 [demod,1019,1019,1058,1019] {-} hAPP(c_Suc,c_Int_Onumber__class_Onumber__of(c_Int_OMin,tc_nat))=hAPP(c_Suc,c_Int_Onumber__class_Onumber__of(c_Int_OMin,tc_nat)).
% 0.19/0.53 Following clause subsumed by 1055 during input processing: 0 [demod,1074] {-} c_Int_OMin=c_Int_OMin.
% 0.19/0.53 Following clause subsumed by 1083 during input processing: 0 [demod,1019] {-} c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(c_Int_OMin,tc_nat),hAPP(c_Suc,A),tc_nat).
% 0.19/0.53 Following clause subsumed by 1084 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(A,hAPP(c_Suc,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)),tc_nat).
% 0.19/0.53 Following clause subsumed by 1083 during input processing: 0 [demod,1019,1019] {-} c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(c_Int_OMin,tc_nat),hAPP(c_Suc,c_Int_Onumber__class_Onumber__of(c_Int_OMin,tc_nat)),tc_nat).
% 0.19/0.53 Following clause subsumed by 1055 during input processing: 0 [demod,1089] {-} 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).
% 0.19/0.53 Following clause subsumed by 1055 during input processing: 0 [demod,1095] {-} 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).
% 0.19/0.53 Following clause subsumed by 1055 during input processing: 0 [demod,1019,1107] {-} c_Int_Onumber__class_Onumber__of(c_Int_OMin,tc_nat)=c_Int_Onumber__class_Onumber__of(c_Int_OMin,tc_nat).
% 0.19/0.53 Following clause subsumed by 1055 during input processing: 0 [demod,1019,1121,1019] {-} hAPP(c_Suc,c_Int_Onumber__class_Onumber__of(c_Int_OMin,tc_nat))=hAPP(c_Suc,c_Int_Onumber__class_Onumber__of(c_Int_OMin,tc_nat)).
% 0.19/0.53 Following clause subsumed by 1083 during input processing: 0 [demod,1019,1019,1118] {-} c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(c_Int_OMin,tc_nat),hAPP(c_Suc,c_Int_Onumber__class_Onumber__of(c_Int_OMin,tc_nat)),tc_nat).
% 0.19/0.53 Following clause subsumed by 1055 during input processing: 0 [demod,1124,1034] {-} hAPP(c_Suc,c_Int_Onumber__class_Onumber__of(c_Int_OMin,tc_nat))=hAPP(c_Suc,c_Int_Onumber__class_Onumber__of(c_Int_OMin,tc_nat)).
% 0.19/0.53 Following clause subsumed by 1055 during input processing: 0 [demod,1132,1130] {-} hAPP(c_Suc,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B))=hAPP(c_Suc,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)).
% 0.19/0.53 Following clause subsumed by 1055 during input processing: 0 [demod,1019,1148,1019,1148] {-} c_Int_Onumber__class_Onumber__of(c_Int_OMin,tc_nat)=c_Int_Onumber__class_Onumber__of(c_Int_OMin,tc_nat).
% 0.19/0.53 Following clause subsumed by 1055 during input processing: 0 [demod,1019,1151,1019,1151] {-} c_Int_Onumber__class_Onumber__of(c_Int_OMin,tc_nat)=c_Int_Onumber__class_Onumber__of(c_Int_OMin,tc_nat).
% 0.19/0.53 Following clause subsumed by 1055 during input processing: 0 [demod,1034,1034,1034,1112,1151,1053] {-} hAPP(c_Suc,c_Int_Onumber__class_Onumber__of(c_Int_OMin,tc_nat))=hAPP(c_Suc,c_Int_Onumber__class_Onumber__of(c_Int_OMin,tc_nat)).
% 0.19/0.53 Following clause subsumed by 1055 during input processing: 0 [demod,1034,1112,1151,1053] {-} A=A.
% 0.19/0.53 Following clause subsumed by 1160 during input processing: 0 [demod,1155,1155] {-} hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),C))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),C),B)).
% 0.19/0.53 Following clause subsumed by 1055 during input processing: 0 [demod,1034,1034,1112,1151,1053,1034] {-} hAPP(c_Suc,c_Int_Onumber__class_Onumber__of(c_Int_OMin,tc_nat))=hAPP(c_Suc,c_Int_Onumber__class_Onumber__of(c_Int_OMin,tc_nat)).
% 0.19/0.53 Following clause subsumed by 1055 during input processing: 0 [demod,1124,1019] {-} hAPP(c_Suc,c_Int_Onumber__class_Onumber__of(c_Int_OMin,tc_nat))=hAPP(c_Suc,c_Int_Onumber__class_Onumber__of(c_Int_OMin,tc_nat)).
% 0.19/0.55 Following clause subsumed by 1055 during input processing: 0 [demod,1019,1101,1130,1053] {-} 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))).
% 0.19/0.55 Following clause subsumed by 1055 during input processing: 0 [demod,1101,1130,1053,1130,1130,1053] {-} hAPP(c_Suc,hAPP(c_Suc,A))=hAPP(c_Suc,hAPP(c_Suc,A)).
% 0.19/0.55 Following clause subsumed by 1055 during input processing: 0 [demod,1101,1130,1053,1132,1132,1058] {-} hAPP(c_Suc,hAPP(c_Suc,A))=hAPP(c_Suc,hAPP(c_Suc,A)).
% 0.19/0.55 Following clause subsumed by 1055 during input processing: 0 [demod,1101,1130,1053,1019] {-} 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))).
% 0.19/0.55 Following clause subsumed by 1083 during input processing: 0 [demod,1019,1101,1130,1053] {-} c_HOL_Oord__class_Oless(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))),tc_nat).
% 0.19/0.55 Following clause subsumed by 1055 during input processing: 0 [demod,1101,1130,1053,1112,1112,1151,1053] {-} hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),A)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),A).
% 0.19/0.55 Following clause subsumed by 1144 during input processing: 0 [demod,1101,1130,1053] {-} c_Parity_Oeven__odd__class_Oeven(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),tc_nat).
% 0.19/0.55 Following clause subsumed by 1055 during input processing: 0 [demod,1202] {-} c_Int_OPls=c_Int_OPls.
% 0.19/0.55 Following clause subsumed by 1207 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(A,hAPP(c_Suc,A),tc_nat).
% 0.19/0.55 Following clause subsumed by 1207 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(A,hAPP(c_Suc,A),tc_nat).
% 0.19/0.55 Following clause subsumed by 1212 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(A,B),C))|c_HOL_Oord__class_Oless(B,C,tc_nat)|C=B|c_HOL_Oord__class_Oless(C,B,tc_nat).
% 0.19/0.55 Following clause subsumed by 1212 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(A,B,tc_nat)|c_HOL_Oord__class_Oless(B,A,tc_nat)|B=A.
% 0.19/0.55 Following clause subsumed by 1005 during input processing: 0 [] {-} hAPP(c_COMBC(A,B,C,D,E),F)=hAPP(hAPP(A,F),B).
% 0.19/0.55 Following clause subsumed by 1055 during input processing: 0 [demod,1215] {-} hAPP(A,hAPP(B,F))=hAPP(A,hAPP(B,F)).
% 0.19/0.55 Following clause subsumed by 1055 during input processing: 0 [] {-} A=A.
% 0.19/0.55 Following clause subsumed by 1004 during input processing: 0 [copy,1004,flip.1] {-} hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),C))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),C)).
% 0.19/0.55 Following clause subsumed by 1011 during input processing: 0 [copy,1011,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).
% 0.19/0.55 Following clause subsumed by 1029 during input processing: 0 [copy,1029,flip.1] {-} hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),A).
% 0.19/0.55 Following clause subsumed by 1055 during input processing: 0 [copy,1055,flip.1] {-} A=A.
% 0.19/0.55 1055 back subsumes 956.
% 0.19/0.55 1055 back subsumes 955.
% 0.19/0.55 1055 back subsumes 941.
% 0.19/0.55 1055 back subsumes 939.
% 0.19/0.55 1055 back subsumes 864.
% 0.19/0.55 Following clause subsumed by 1160 during input processing: 0 [copy,1160,flip.1] {-} hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),C))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),C),B)).
% 0.19/0.55 Following clause subsumed by 1213 during input processing: 0 [copy,1213,flip.1] {-} hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),B)=hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),B),A).
% 0.19/0.55 Following clause subsumed by 1465 during input processing: 0 [copy,1337,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).
% 0.19/0.55 Following clause subsumed by 1354 during input processing: 0 [copy,1338,flip.1] {-} c_HOL_Ominus__class_Ominus(A,A,tc_nat)=c_Int_Onumber__class_Onumber__of(c_Int_OMin,tc_nat).
% 0.19/0.55 Following clause subsumed by 1005 during input processing: 0 [copy,1343,flip.1] {-} hAPP(c_COMBC(A,B,C,D,E),F)=hAPP(hAPP(A,F),B).
% 0.19/0.55 Following clause subsumed by 1007 during input processing: 0 [copy,1346,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).
% 0.19/0.55 Following clause subsumed by 1338 during input processing: 0 [copy,1354,flip.1] {-} c_Int_Onumber__class_Onumber__of(c_Int_OMin,tc_nat)=c_HOL_Ominus__class_Ominus(A,A,tc_nat).
% 0.19/0.55 Following clause subsumed by 1337 during input processing: 0 [copy,1465,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).
% 0.19/0.55 Following clause subsumed by 1110 during input processing: 0 [copy,1520,flip.1] {-} hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(c_Suc,A)),B)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),B)).
% 0.19/0.55 Following clause subsumed by 1145 during input processing: 0 [copy,1528,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).
% 0.19/0.55 Following clause subsumed by 1152 during input processing: 0 [copy,1529,flip.1] {-} hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)),C)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),C)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),B),C)).
% 0.19/0.55 Following clause subsumed by 1189 during input processing: 0 [copy,1536,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)).
% 0.19/0.55 Following clause subsumed by 1191 during input processing: 0 [copy,1537,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).
% 0.19/0.55
% 0.19/0.55 ======= end of input processing =======
% 0.59/0.82
% 0.59/0.82
% 0.59/0.82
% 0.59/0.82 Aborting on detection of an error:
% 0.59/0.82
% 0.59/0.82 Too many clauses (whew!).
% 0.59/0.82
%------------------------------------------------------------------------------