TSTP Solution File: SWV621-1 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : SWV621-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n018.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 21:39:41 EDT 2022

% Result   : Unknown 0.68s 0.87s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.14  % Problem  : SWV621-1 : TPTP v8.1.0. Released v4.1.0.
% 0.09/0.15  % Command  : sos-script %s
% 0.16/0.37  % Computer : n018.cluster.edu
% 0.16/0.37  % Model    : x86_64 x86_64
% 0.16/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37  % Memory   : 8042.1875MB
% 0.16/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37  % CPULimit : 300
% 0.16/0.37  % WCLimit  : 600
% 0.16/0.37  % DateTime : Tue Jun 14 20:13:59 EDT 2022
% 0.16/0.37  % CPUTime  : 
% 0.23/0.51  ----- Otter 3.2, August 2001 -----
% 0.23/0.51  The process was started by sandbox on n018.cluster.edu,
% 0.23/0.51  Tue Jun 14 20:13:59 2022
% 0.23/0.51  The command was "./sos".  The process ID is 20928.
% 0.23/0.51  
% 0.23/0.51  set(prolog_style_variables).
% 0.23/0.51  set(auto).
% 0.23/0.51     dependent: set(auto1).
% 0.23/0.51     dependent: set(process_input).
% 0.23/0.51     dependent: clear(print_kept).
% 0.23/0.51     dependent: clear(print_new_demod).
% 0.23/0.51     dependent: clear(print_back_demod).
% 0.23/0.51     dependent: clear(print_back_sub).
% 0.23/0.51     dependent: set(control_memory).
% 0.23/0.51     dependent: assign(max_mem, 12000).
% 0.23/0.51     dependent: assign(pick_given_ratio, 4).
% 0.23/0.51     dependent: assign(stats_level, 1).
% 0.23/0.51     dependent: assign(pick_semantic_ratio, 3).
% 0.23/0.51     dependent: assign(sos_limit, 5000).
% 0.23/0.51     dependent: assign(max_weight, 60).
% 0.23/0.51  clear(print_given).
% 0.23/0.51  
% 0.23/0.51  list(usable).
% 0.23/0.51  
% 0.23/0.51  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=7.
% 0.23/0.51  
% 0.23/0.51  This ia a non-Horn set with equality.  The strategy will be
% 0.23/0.51  Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.23/0.51  unit deletion, with positive clauses in sos and nonpositive
% 0.23/0.51  clauses in usable.
% 0.23/0.51  
% 0.23/0.51     dependent: set(knuth_bendix).
% 0.23/0.51     dependent: set(para_from).
% 0.23/0.51     dependent: set(para_into).
% 0.23/0.51     dependent: clear(para_from_right).
% 0.23/0.51     dependent: clear(para_into_right).
% 0.23/0.51     dependent: set(para_from_vars).
% 0.23/0.51     dependent: set(eq_units_both_ways).
% 0.23/0.51     dependent: set(dynamic_demod_all).
% 0.23/0.51     dependent: set(dynamic_demod).
% 0.23/0.51     dependent: set(order_eq).
% 0.23/0.51     dependent: set(back_demod).
% 0.23/0.51     dependent: set(lrpo).
% 0.23/0.51     dependent: set(hyper_res).
% 0.23/0.51     dependent: set(unit_deletion).
% 0.23/0.51     dependent: set(factor).
% 0.23/0.51  
% 0.23/0.51  ------------> process usable:
% 0.23/0.51    Following clause subsumed by 4 during input processing: 0 [] {-} hBOOL(hAPP(c_lessequals(A,tc_nat),B))| -hBOOL(hAPP(c_lessequals(c_HOL_Otimes__class_Otimes(C,A,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(C,B,tc_nat)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),C)).
% 0.23/0.51    Following clause subsumed by 16 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)).
% 0.23/0.51    Following clause subsumed by 15 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),C))| -hBOOL(hAPP(c_lessequals(C,A),B)).
% 0.23/0.51    Following clause subsumed by 16 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)).
% 0.23/0.51    Following clause subsumed by 15 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -hBOOL(hAPP(c_lessequals(B,A),B))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),B)).
% 0.23/0.51    Following clause subsumed by 16 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)).
% 0.23/0.51    Following clause subsumed by 22 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Otimes__class_Otimes(B,C,A)=c_HOL_Otimes__class_Otimes(C,B,A).
% 0.23/0.51    Following clause subsumed by 23 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(c_Power_Opower__class_Opower(B,A),c_Suc(C))=c_HOL_Otimes__class_Otimes(B,hAPP(c_Power_Opower__class_Opower(B,A),C),A).
% 0.23/0.51    Following clause subsumed by 48 during input processing: 0 [] {-} hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_nat),B))| -hBOOL(hAPP(c_lessequals(c_Suc(A),tc_nat),B)).
% 0.23/0.51    Following clause subsumed by 49 during input processing: 0 [] {-} hBOOL(hAPP(c_lessequals(c_Suc(A),tc_nat),B))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_nat),B)).
% 0.23/0.51    Following clause subsumed by 88 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),c_HOL_Oinverse__class_Oinverse(B,A)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),B)).
% 0.23/0.51    Following clause subsumed by 59 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(c_lessequals(B,A),c_HOL_Oinverse__class_Odivide(C,c_Int_Onumber__class_Onumber__of(D,A),A)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),c_Int_Onumber__class_Onumber__of(D,A)))| -hBOOL(hAPP(c_lessequals(c_HOL_Otimes__class_Otimes(B,c_Int_Onumber__class_Onumber__of(D,A),A),A),C)).
% 0.23/0.51    Following clause subsumed by 56 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(c_lessequals(c_HOL_Otimes__class_Otimes(B,c_Int_Onumber__class_Onumber__of(C,A),A),A),D))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),c_Int_Onumber__class_Onumber__of(C,A)))| -hBOOL(hAPP(c_lessequals(B,A),c_HOL_Oinverse__class_Odivide(D,c_Int_Onumber__class_Onumber__of(C,A),A))).
% 0.23/0.51    Following clause subsumed by 58 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(c_lessequals(c_HOL_Oinverse__class_Odivide(B,c_Int_Onumber__class_Onumber__of(C,A),A),A),D))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),c_Int_Onumber__class_Onumber__of(C,A)))| -hBOOL(hAPP(c_lessequals(B,A),c_HOL_Otimes__class_Otimes(D,c_Int_Onumber__class_Onumber__of(C,A),A))).
% 0.23/0.51    Following clause subsumed by 54 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(c_lessequals(B,A),c_HOL_Otimes__class_Otimes(C,c_Int_Onumber__class_Onumber__of(D,A),A)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),c_Int_Onumber__class_Onumber__of(D,A)))| -hBOOL(hAPP(c_lessequals(c_HOL_Oinverse__class_Odivide(B,c_Int_Onumber__class_Onumber__of(D,A),A),A),C)).
% 0.23/0.51    Following clause subsumed by 96 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__ring__strict(A)|hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(B,C,A),A),c_HOL_Otimes__class_Otimes(D,C,A)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(C,A),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(D,A),B)).
% 0.23/0.51    Following clause subsumed by 99 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__ring__strict(A)|hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(B,C,A),A),c_HOL_Otimes__class_Otimes(B,D,A)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(D,A),C)).
% 0.23/0.51    Following clause subsumed by 100 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__ring__strict(A)|hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(B,C,A),A),c_HOL_Otimes__class_Otimes(B,D,A)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(C,A),D))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),B)).
% 0.23/0.51    Following clause subsumed by 99 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__ring__strict(A)|hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(B,C,A),A),c_HOL_Otimes__class_Otimes(B,D,A)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(D,A),C))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),c_HOL_Ozero__class_Ozero(A))).
% 0.23/0.51    Following clause subsumed by 104 during input processing: 0 [] {-} hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(A,B,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(A,C,tc_nat)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),A))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(B,tc_nat),C)).
% 0.23/0.51    Following clause subsumed by 104 during input processing: 0 [] {-} hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(A,B,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(A,C,tc_nat)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(B,tc_nat),C))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),A)).
% 0.23/0.51    Following clause subsumed by 106 during input processing: 0 [] {-} hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(A,B,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(C,B,tc_nat)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_nat),C))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),B)).
% 0.23/0.52    Following clause subsumed by 110 during input processing: 0 [flip.2] {-} -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(B,A),A)=B.
% 0.23/0.52    Following clause subsumed by 110 during input processing: 0 [flip.2] {-} -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(B,A),A)=B.
% 0.23/0.52    Following clause subsumed by 110 during input processing: 0 [] {-} -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(B,A),A)=B.
% 0.23/0.52    Following clause subsumed by 112 during input processing: 0 [] {-} hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Suc(A),tc_nat),c_Suc(B)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_nat),B)).
% 0.23/0.52    Following clause subsumed by 114 during input processing: 0 [] {-} -class_OrderedGroup_Opordered__ab__group__add(A)|hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(B,A),A),C))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(C,A),A),B)).
% 0.23/0.52    Following clause subsumed by 115 during input processing: 0 [] {-} -class_OrderedGroup_Opordered__ab__group__add(A)|hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),c_HOL_Ouminus__class_Ouminus(C,A)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(C,A),c_HOL_Ouminus__class_Ouminus(B,A))).
% 0.23/0.52    Following clause subsumed by 116 during input processing: 0 [] {-} -class_OrderedGroup_Opordered__ab__group__add(A)|hBOOL(hAPP(c_lessequals(c_HOL_Ouminus__class_Ouminus(B,A),A),C))| -hBOOL(hAPP(c_lessequals(c_HOL_Ouminus__class_Ouminus(C,A),A),B)).
% 0.23/0.52    Following clause subsumed by 117 during input processing: 0 [] {-} -class_OrderedGroup_Opordered__ab__group__add(A)|hBOOL(hAPP(c_lessequals(B,A),c_HOL_Ouminus__class_Ouminus(C,A)))| -hBOOL(hAPP(c_lessequals(C,A),c_HOL_Ouminus__class_Ouminus(B,A))).
% 0.23/0.52    Following clause subsumed by 120 during input processing: 0 [] {-} -class_Ring__and__Field_Odivision__ring(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oinverse__class_Oinverse(B,A)!=c_HOL_Ozero__class_Ozero(A)|B=c_HOL_Ozero__class_Ozero(A).
% 0.23/0.52    Following clause subsumed by 119 during input processing: 0 [flip.2] {-} -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(A),A)=c_HOL_Ozero__class_Ozero(A).
% 0.23/0.52    Following clause subsumed by 126 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|c_HOL_Otimes__class_Otimes(B,c_HOL_Ozero__class_Ozero(A),A)=c_HOL_Ozero__class_Ozero(A).
% 0.23/0.52    Following clause subsumed by 127 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(A),B,A)=c_HOL_Ozero__class_Ozero(A).
% 0.23/0.52    Following clause subsumed by 125 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(A),B,A)=c_HOL_Ozero__class_Ozero(A).
% 0.23/0.52    Following clause subsumed by 133 during input processing: 0 [] {-} -class_Ring__and__Field_Odivision__ring(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(A),A)=c_HOL_Ozero__class_Ozero(A).
% 0.23/0.52    Following clause subsumed by 137 during input processing: 0 [] {-} -class_Ring__and__Field_Ono__zero__divisors(A)|c_HOL_Otimes__class_Otimes(B,C,A)!=c_HOL_Ozero__class_Ozero(A)|B=c_HOL_Ozero__class_Ozero(A)|C=c_HOL_Ozero__class_Ozero(A).
% 0.23/0.52    Following clause subsumed by 151 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C| -hBOOL(hAPP(c_lessequals(C,A),B))| -hBOOL(hAPP(c_lessequals(B,A),C)).
% 0.23/0.52    Following clause subsumed by 151 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C| -hBOOL(hAPP(c_lessequals(B,A),C))| -hBOOL(hAPP(c_lessequals(C,A),B)).
% 0.23/0.52    Following clause subsumed by 152 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)).
% 0.23/0.52    Following clause subsumed by 152 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)).
% 0.23/0.52    Following clause subsumed by 152 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|B=C|hBOOL(hAPP(c_HOL_Oord__class_Oless(C,A),B))|hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),C)).
% 0.23/0.52    Following clause subsumed by 178 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__semiring__strict(A)|hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(B,C,A),A),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),C)).
% 0.23/0.52    Following clause subsumed by 191 during input processing: 0 [] {-} c_Suc(A)!=A.
% 0.23/0.52    Following clause subsumed by 198 during input processing: 0 [] {-} hBOOL(hAPP(c_lessequals(c_HOL_Otimes__class_Otimes(A,B,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(A,C,tc_nat)))| -hBOOL(hAPP(c_lessequals(B,tc_nat),C)).
% 0.23/0.52    Following clause subsumed by 197 during input processing: 0 [] {-} hBOOL(hAPP(c_lessequals(c_HOL_Otimes__class_Otimes(A,B,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(C,B,tc_nat)))| -hBOOL(hAPP(c_lessequals(A,tc_nat),C)).
% 0.23/0.52    Following clause subsumed by 59 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(c_lessequals(c_Int_Onumber__class_Onumber__of(B,A),A),c_HOL_Oinverse__class_Odivide(C,D,A)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),D))| -hBOOL(hAPP(c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(B,A),D,A),A),C)).
% 0.23/0.52    Following clause subsumed by 56 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(B,A),C,A),A),D))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),C))| -hBOOL(hAPP(c_lessequals(c_Int_Onumber__class_Onumber__of(B,A),A),c_HOL_Oinverse__class_Odivide(D,C,A))).
% 0.23/0.52    Following clause subsumed by 207 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)).
% 0.23/0.52    Following clause subsumed by 208 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)).
% 0.23/0.52    Following clause subsumed by 208 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)).
% 0.23/0.52    Following clause subsumed by 207 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)).
% 0.23/0.52    Following clause subsumed by 207 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.
% 0.23/0.52    Following clause subsumed by 209 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)).
% 0.23/0.52    Following clause subsumed by 210 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)).
% 0.23/0.52    Following clause subsumed by 214 during input processing: 0 [] {-} -class_Ring__and__Field_Opordered__ring(A)|hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(A),A),c_HOL_Otimes__class_Otimes(B,C,A)))| -hBOOL(hAPP(c_lessequals(C,A),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_lessequals(B,A),c_HOL_Ozero__class_Ozero(A))).
% 0.23/0.52    Following clause subsumed by 239 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|c_HOL_Otimes__class_Otimes(B,c_HOL_Ominus__class_Ominus(C,D,A),A)=c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(B,D,A),A).
% 0.23/0.52    Following clause subsumed by 240 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(B,C,A),D,A)=c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(B,D,A),c_HOL_Otimes__class_Otimes(C,D,A),A).
% 0.23/0.52    Following clause subsumed by 250 during input processing: 0 [flip.4] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(B,c_Int_Onumber__class_Onumber__of(C,A),A),c_Int_Onumber__class_Onumber__of(C,A),A)=B|c_Int_Onumber__class_Onumber__of(C,A)=c_HOL_Ozero__class_Ozero(A).
% 0.23/0.52    Following clause subsumed by 249 during input processing: 0 [flip.4] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(B,A),C,A),C,A)=c_Int_Onumber__class_Onumber__of(B,A)|C=c_HOL_Ozero__class_Ozero(A).
% 0.23/0.52    Following clause subsumed by 267 during input processing: 0 [flip.5] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_Int_Onumber__class_Onumber__of(B,A)!=c_HOL_Ozero__class_Ozero(A)|c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(B,A),C,A),C,A)=c_Int_Onumber__class_Onumber__of(B,A).
% 0.23/0.52    Following clause subsumed by 278 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),c_HOL_Oinverse__class_Odivide(C,D,A)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),D))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(B,D,A),A),C)).
% 0.23/0.52    Following clause subsumed by 279 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(B,C,A),A),D))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),C))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),c_HOL_Otimes__class_Otimes(D,C,A))).
% 0.23/0.52    Following clause subsumed by 283 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(B,c_Int_Onumber__class_Onumber__of(C,A),A),c_Int_Onumber__class_Onumber__of(C,A),A)=B|c_Int_Onumber__class_Onumber__of(C,A)=c_HOL_Ozero__class_Ozero(A).
% 0.23/0.52    Following clause subsumed by 247 during input processing: 0 [flip.4] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(B,A),A),c_Int_Onumber__class_Onumber__of(B,A),A)=c_HOL_Ozero__class_Ozero(A).
% 0.23/0.52    Following clause subsumed by 298 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(A),B,A)=B.
% 0.23/0.52    Following clause subsumed by 302 during input processing: 0 [] {-} c_Suc(A)!=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.23/0.52    Following clause subsumed by 303 during input processing: 0 [] {-} c_HOL_Otimes__class_Otimes(A,B,tc_nat)!=c_HOL_Otimes__class_Otimes(A,C,tc_nat)|A=c_HOL_Ozero__class_Ozero(tc_nat)|B=C.
% 0.23/0.52    Following clause subsumed by 311 during input processing: 0 [flip.2] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(B,C,A),D,A)=c_HOL_Otimes__class_Otimes(B,c_HOL_Otimes__class_Otimes(C,D,A),A).
% 0.23/0.52    Following clause subsumed by 311 during input processing: 0 [flip.2] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(B,C,A),D,A)=c_HOL_Otimes__class_Otimes(B,c_HOL_Otimes__class_Otimes(C,D,A),A).
% 0.23/0.52    Following clause subsumed by 313 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__semidom(A)|hBOOL(hAPP(c_lessequals(B,tc_nat),C))| -hBOOL(hAPP(c_lessequals(hAPP(c_Power_Opower__class_Opower(D,A),B),A),hAPP(c_Power_Opower__class_Opower(D,A),C)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(A),A),D)).
% 0.23/0.52    Following clause subsumed by 58 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(c_lessequals(c_HOL_Oinverse__class_Odivide(B,C,A),A),c_Int_Onumber__class_Onumber__of(D,A)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),C))| -hBOOL(hAPP(c_lessequals(B,A),c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(D,A),C,A))).
% 0.23/0.52    Following clause subsumed by 54 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(c_lessequals(B,A),c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(C,A),D,A)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),D))| -hBOOL(hAPP(c_lessequals(c_HOL_Oinverse__class_Odivide(B,D,A),A),c_Int_Onumber__class_Onumber__of(C,A))).
% 0.23/0.52    Following clause subsumed by 321 during input processing: 0 [flip.2] {-} -class_RealVector_Oreal__normed__algebra(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(B,C,A),A)=c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(B,A),C,A).
% 0.23/0.52    Following clause subsumed by 323 during input processing: 0 [flip.2] {-} -class_RealVector_Oreal__normed__algebra(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(B,C,A),A)=c_HOL_Otimes__class_Otimes(B,c_HOL_Ouminus__class_Ouminus(C,A),A).
% 0.23/0.52    Following clause subsumed by 345 during input processing: 0 [] {-} -class_Ring__and__Field_Opordered__cancel__semiring(A)|hBOOL(hAPP(c_lessequals(c_HOL_Otimes__class_Otimes(B,C,A),A),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_lessequals(C,A),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(A),A),B)).
% 0.23/0.52    Following clause subsumed by 346 during input processing: 0 [] {-} -class_Ring__and__Field_Opordered__cancel__semiring(A)|hBOOL(hAPP(c_lessequals(c_HOL_Otimes__class_Otimes(B,C,A),A),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(A),A),C))| -hBOOL(hAPP(c_lessequals(B,A),c_HOL_Ozero__class_Ozero(A))).
% 0.23/0.52    Following clause subsumed by 346 during input processing: 0 [] {-} -class_Ring__and__Field_Opordered__cancel__semiring(A)|hBOOL(hAPP(c_lessequals(c_HOL_Otimes__class_Otimes(B,C,A),A),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_lessequals(B,A),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(A),A),C)).
% 0.23/0.52    Following clause subsumed by 281 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(C,A),D,A)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),D))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(B,D,A),A),c_Int_Onumber__class_Onumber__of(C,A))).
% 0.23/0.52    Following clause subsumed by 279 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(B,C,A),A),c_Int_Onumber__class_Onumber__of(D,A)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),C))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(D,A),C,A))).
% 0.23/0.52    Following clause subsumed by 70 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(c_lessequals(c_HOL_Oinverse__class_Odivide(B,c_Int_Onumber__class_Onumber__of(C,A),A),A),D))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(C,A),A),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_lessequals(c_HOL_Otimes__class_Otimes(D,c_Int_Onumber__class_Onumber__of(C,A),A),A),B))| -hBOOL(hAPP(c_lessequals(B,A),c_HOL_Otimes__class_Otimes(D,c_Int_Onumber__class_Onumber__of(C,A),A))).
% 0.23/0.52    Following clause subsumed by 71 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(c_lessequals(B,A),c_HOL_Oinverse__class_Odivide(C,c_Int_Onumber__class_Onumber__of(D,A),A)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(D,A),A),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_lessequals(C,A),c_HOL_Otimes__class_Otimes(B,c_Int_Onumber__class_Onumber__of(D,A),A)))| -hBOOL(hAPP(c_lessequals(c_HOL_Otimes__class_Otimes(B,c_Int_Onumber__class_Onumber__of(D,A),A),A),C)).
% 0.23/0.52    Following clause subsumed by 260 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(B,c_Int_Onumber__class_Onumber__of(C,A),A),A),D))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(C,A),A),c_HOL_Ozero__class_Ozero(A)))|hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),c_Int_Onumber__class_Onumber__of(C,A)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(D,c_Int_Onumber__class_Onumber__of(C,A),A),A),B)).
% 0.23/0.52    Following clause subsumed by 259 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(B,c_Int_Onumber__class_Onumber__of(C,A),A),A),D))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(C,A),A),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(D,c_Int_Onumber__class_Onumber__of(C,A),A),A),B))|hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),c_Int_Onumber__class_Onumber__of(C,A))).
% 0.23/0.52    Following clause subsumed by 256 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),c_HOL_Otimes__class_Otimes(C,c_Int_Onumber__class_Onumber__of(D,A),A)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(D,A),A),c_HOL_Ozero__class_Ozero(A)))|hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),c_Int_Onumber__class_Onumber__of(D,A)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(C,A),c_HOL_Oinverse__class_Odivide(B,c_Int_Onumber__class_Onumber__of(D,A),A))).
% 0.23/0.52    Following clause subsumed by 255 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),c_HOL_Oinverse__class_Odivide(C,c_Int_Onumber__class_Onumber__of(D,A),A)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(D,A),A),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(C,A),c_HOL_Otimes__class_Otimes(B,c_Int_Onumber__class_Onumber__of(D,A),A)))|hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),c_Int_Onumber__class_Onumber__of(D,A))).
% 0.23/0.52    Following clause subsumed by 363 during input processing: 0 [] {-} -hBOOL(hAPP(c_lessequals(A,tc_nat),A))|hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_nat),c_Suc(A))).
% 0.23/0.52    Following clause subsumed by 70 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(c_lessequals(c_HOL_Oinverse__class_Odivide(B,C,A),A),c_Int_Onumber__class_Onumber__of(D,A)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(C,A),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(D,A),C,A),A),B))| -hBOOL(hAPP(c_lessequals(B,A),c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(D,A),C,A))).
% 0.23/0.53    Following clause subsumed by 258 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(B,C,A),A),c_Int_Onumber__class_Onumber__of(D,A)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),c_Int_Onumber__class_Onumber__of(D,A)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(D,A),C,A),A),B))|hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),C)).
% 0.23/0.53    Following clause subsumed by 383 during input processing: 0 [] {-} -hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_nat),c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.23/0.53    Following clause subsumed by 302 during input processing: 0 [flip.1] {-} c_Suc(A)!=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.23/0.53    Following clause subsumed by 302 during input processing: 0 [flip.1] {-} c_Suc(A)!=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.23/0.53    Following clause subsumed by 386 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__semidom(A)|hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(c_Power_Opower__class_Opower(B,A),C),A),hAPP(c_Power_Opower__class_Opower(B,A),D)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(A),A),B))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(C,tc_nat),D)).
% 0.23/0.53    Following clause subsumed by 387 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__semidom(A)|hBOOL(hAPP(c_HOL_Oord__class_Oless(B,tc_nat),C))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(c_Power_Opower__class_Opower(D,A),B),A),hAPP(c_Power_Opower__class_Opower(D,A),C)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(A),A),D)).
% 0.23/0.53    Following clause subsumed by 456 during input processing: 0 [flip.3] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(B,C,A),C,A)=B|C=c_HOL_Ozero__class_Ozero(A).
% 0.23/0.53    Following clause subsumed by 446 during input processing: 0 [flip.3] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(A),B,A),B,A)=c_HOL_Ozero__class_Ozero(A).
% 0.23/0.53    Following clause subsumed by 257 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(B,C,A),A),c_Int_Onumber__class_Onumber__of(D,A)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),c_Int_Onumber__class_Onumber__of(D,A)))|hBOOL(hAPP(c_HOL_Oord__class_Oless(C,A),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(D,A),C,A))).
% 0.23/0.53    Following clause subsumed by 258 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(B,c_Int_Onumber__class_Onumber__of(C,A),A),A),D))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),D))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(D,c_Int_Onumber__class_Onumber__of(C,A),A),A),B))|hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),c_Int_Onumber__class_Onumber__of(C,A))).
% 0.23/0.53    Following clause subsumed by 254 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),c_HOL_Oinverse__class_Odivide(C,c_Int_Onumber__class_Onumber__of(D,A),A)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(C,A),c_HOL_Otimes__class_Otimes(B,c_Int_Onumber__class_Onumber__of(D,A),A)))|hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),c_Int_Onumber__class_Onumber__of(D,A))).
% 0.23/0.53    Following clause subsumed by 272 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(B,C,A),A),c_Int_Onumber__class_Onumber__of(D,A)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),c_Int_Onumber__class_Onumber__of(D,A)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(D,A),C,A),A),B))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(D,A),C,A))).
% 0.23/0.53    Following clause subsumed by 482 during input processing: 0 [] {-} c_Suc(A)!=c_Suc(B)|A=B.
% 0.23/0.53    Following clause subsumed by 254 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(B,A),A),c_HOL_Oinverse__class_Odivide(C,D,A)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(B,A),A),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(C,A),c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(B,A),D,A)))|hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),D)).
% 0.23/0.53    Following clause subsumed by 253 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(B,A),A),c_HOL_Oinverse__class_Odivide(C,D,A)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(B,A),A),c_HOL_Ozero__class_Ozero(A)))|hBOOL(hAPP(c_HOL_Oord__class_Oless(D,A),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(B,A),D,A),A),C)).
% 0.23/0.53    Following clause subsumed by 270 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(B,A),A),c_HOL_Oinverse__class_Odivide(C,D,A)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(B,A),A),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(C,A),c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(B,A),D,A)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(B,A),D,A),A),C)).
% 0.23/0.53    Following clause subsumed by 256 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(C,A),D,A)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(D,A),c_HOL_Ozero__class_Ozero(A)))|hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),D))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(C,A),A),c_HOL_Oinverse__class_Odivide(B,D,A))).
% 0.23/0.53    Following clause subsumed by 255 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(B,A),A),c_HOL_Oinverse__class_Odivide(C,D,A)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(D,A),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(C,A),c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(B,A),D,A)))|hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),D)).
% 0.23/0.53    Following clause subsumed by 485 during input processing: 0 [] {-} A=B|hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_nat),B))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_nat),c_Suc(B))).
% 0.23/0.53    Following clause subsumed by 271 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(B,A),A),c_HOL_Oinverse__class_Odivide(C,D,A)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(D,A),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(C,A),c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(B,A),D,A)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(B,A),D,A),A),C)).
% 0.23/0.53    Following clause subsumed by 492 during input processing: 0 [] {-} -hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_nat),A)).
% 0.23/0.53    Following clause subsumed by 499 during input processing: 0 [] {-} hBOOL(hAPP(c_lessequals(A,tc_nat),B))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_nat),B)).
% 0.23/0.53    Following clause subsumed by 15 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))).
% 0.23/0.53    Following clause subsumed by 16 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))).
% 0.23/0.53    Following clause subsumed by 23 during input processing: 0 [flip.2] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(c_Power_Opower__class_Opower(B,A),c_Suc(C))=c_HOL_Otimes__class_Otimes(B,hAPP(c_Power_Opower__class_Opower(B,A),C),A).
% 0.23/0.53    Following clause subsumed by 512 during input processing: 0 [flip.3] {-} -class_Ring__and__Field_Ofield(A)| -class_Int_Onumber__ring(A)|c_HOL_Otimes__class_Otimes(B,c_HOL_Oinverse__class_Oinverse(C,A),A)=c_HOL_Oinverse__class_Odivide(B,C,A).
% 0.23/0.53    Following clause subsumed by 285 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(c_lessequals(c_Int_Onumber__class_Onumber__of(B,A),A),c_HOL_Oinverse__class_Odivide(C,D,A)))| -hBOOL(hAPP(c_lessequals(c_Int_Onumber__class_Onumber__of(B,A),A),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_lessequals(C,A),c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(B,A),D,A)))| -hBOOL(hAPP(c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(B,A),D,A),A),C)).
% 0.23/0.53    Following clause subsumed by 286 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(c_lessequals(c_Int_Onumber__class_Onumber__of(B,A),A),c_HOL_Oinverse__class_Odivide(C,D,A)))| -hBOOL(hAPP(c_lessequals(c_Int_Onumber__class_Onumber__of(B,A),A),c_HOL_Ozero__class_Ozero(A)))|hBOOL(hAPP(c_HOL_Oord__class_Oless(D,A),c_HOL_Ozero__class_Ozero(A)))|hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),D)).
% 0.23/0.53    Following clause subsumed by 287 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(c_lessequals(c_Int_Onumber__class_Onumber__of(B,A),A),c_HOL_Ozero__class_Ozero(A)))|hBOOL(hAPP(c_HOL_Oord__class_Oless(C,A),c_HOL_Ozero__class_Ozero(A)))|hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),C))| -hBOOL(hAPP(c_lessequals(c_Int_Onumber__class_Onumber__of(B,A),A),c_HOL_Oinverse__class_Odivide(D,C,A))).
% 0.23/0.53    Following clause subsumed by 349 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(c_lessequals(c_HOL_Oinverse__class_Odivide(B,c_Int_Onumber__class_Onumber__of(C,A),A),A),D))| -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(A),A),D))| -hBOOL(hAPP(c_lessequals(c_HOL_Otimes__class_Otimes(D,c_Int_Onumber__class_Onumber__of(C,A),A),A),B))|hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),c_Int_Onumber__class_Onumber__of(C,A))).
% 0.23/0.53    Following clause subsumed by 351 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(c_lessequals(B,A),c_HOL_Oinverse__class_Odivide(C,c_Int_Onumber__class_Onumber__of(D,A),A)))| -hBOOL(hAPP(c_lessequals(B,A),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_lessequals(C,A),c_HOL_Otimes__class_Otimes(B,c_Int_Onumber__class_Onumber__of(D,A),A)))|hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),c_Int_Onumber__class_Onumber__of(D,A))).
% 0.23/0.53    Following clause subsumed by 350 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(c_lessequals(c_HOL_Oinverse__class_Odivide(B,C,A),A),c_Int_Onumber__class_Onumber__of(D,A)))| -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(A),A),c_Int_Onumber__class_Onumber__of(D,A)))|hBOOL(hAPP(c_HOL_Oord__class_Oless(C,A),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_lessequals(B,A),c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(D,A),C,A))).
% 0.23/0.53    Following clause subsumed by 349 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(c_lessequals(c_HOL_Oinverse__class_Odivide(B,C,A),A),c_Int_Onumber__class_Onumber__of(D,A)))| -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(A),A),c_Int_Onumber__class_Onumber__of(D,A)))| -hBOOL(hAPP(c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(D,A),C,A),A),B))|hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),C)).
% 0.23/0.53    Following clause subsumed by 288 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(c_lessequals(c_HOL_Oinverse__class_Odivide(B,c_Int_Onumber__class_Onumber__of(C,A),A),A),D))| -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(A),A),D))| -hBOOL(hAPP(c_lessequals(c_HOL_Otimes__class_Otimes(D,c_Int_Onumber__class_Onumber__of(C,A),A),A),B))| -hBOOL(hAPP(c_lessequals(B,A),c_HOL_Otimes__class_Otimes(D,c_Int_Onumber__class_Onumber__of(C,A),A))).
% 0.23/0.53    Following clause subsumed by 285 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(c_lessequals(B,A),c_HOL_Oinverse__class_Odivide(C,c_Int_Onumber__class_Onumber__of(D,A),A)))| -hBOOL(hAPP(c_lessequals(B,A),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_lessequals(C,A),c_HOL_Otimes__class_Otimes(B,c_Int_Onumber__class_Onumber__of(D,A),A)))| -hBOOL(hAPP(c_lessequals(c_HOL_Otimes__class_Otimes(B,c_Int_Onumber__class_Onumber__of(D,A),A),A),C)).
% 0.23/0.53    Following clause subsumed by 543 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)).
% 0.23/0.53    Following clause subsumed by 549 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)|B=c_HOL_Ozero__class_Ozero(A)|c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(C,B,A),B,A)=C.
% 0.23/0.53    Following clause subsumed by 549 during input processing: 0 [flip.3] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(B,C,A),C,A)=B|C=c_HOL_Ozero__class_Ozero(A).
% 0.23/0.53    Following clause subsumed by 549 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(B,C,A),C,A)=B|C=c_HOL_Ozero__class_Ozero(A).
% 0.23/0.53    Following clause subsumed by 572 during input processing: 0 [] {-} -class_OrderedGroup_Ocomm__monoid__add(A)|c_Finite__Set_Osetsum(B,C,D,A)=c_HOL_Ozero__class_Ozero(A)|c_Finite__Set_Ofinite(C,D).
% 0.23/0.53    Following clause subsumed by 294 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(A),hAPP(c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(A),A),B),A).
% 0.23/0.53    Following clause subsumed by 576 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)| -class_Int_Onumber__ring(A)|c_HOL_Oinverse__class_Oinverse(B,A)=c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(A),B,A).
% 0.23/0.53    Following clause subsumed by 576 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)|c_HOL_Oinverse__class_Oinverse(B,A)=c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(A),B,A)|B=c_HOL_Ozero__class_Ozero(A).
% 0.23/0.57    Following clause subsumed by 599 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).
% 0.23/0.57    Following clause subsumed by 603 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).
% 0.23/0.57    Following clause subsumed by 618 during input processing: 0 [] {-} -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ominus__class_Ominus(B,B,A)=c_HOL_Ozero__class_Ozero(A).
% 0.23/0.57    Following clause subsumed by 624 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).
% 0.23/0.57    Following clause subsumed by 624 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).
% 0.23/0.57    Following clause subsumed by 599 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).
% 0.23/0.57    Following clause subsumed by 599 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).
% 0.23/0.57  58 back subsumes 55.
% 0.23/0.57  59 back subsumes 57.
% 0.23/0.57  71 back subsumes 53.
% 0.23/0.57  163 back subsumes 105.
% 0.23/0.57  163 back subsumes 79.
% 0.23/0.57  198 back subsumes 91.
% 0.23/0.57  198 back subsumes 5.
% 0.23/0.57  253 back subsumes 30.
% 0.23/0.57  257 back subsumes 29.
% 0.23/0.57  259 back subsumes 43.
% 0.23/0.57  260 back subsumes 42.
% 0.23/0.57  270 back subsumes 41.
% 0.23/0.57  271 back subsumes 27.
% 0.23/0.57  272 back subsumes 40.
% 0.23/0.57  273 back subsumes 39.
% 0.23/0.57  273 back subsumes 26.
% 0.23/0.57  278 back subsumes 203.
% 0.23/0.57  278 back subsumes 84.
% 0.23/0.57  279 back subsumes 86.
% 0.23/0.57  280 back subsumes 202.
% 0.23/0.57  280 back subsumes 85.
% 0.23/0.57  281 back subsumes 87.
% 0.23/0.57  286 back subsumes 173.
% 0.23/0.57  287 back subsumes 172.
% 0.23/0.57  288 back subsumes 165.
% 0.23/0.57  289 back subsumes 171.
% 0.23/0.57  289 back subsumes 166.
% 0.23/0.57  290 back subsumes 170.
% 0.23/0.57  290 back subsumes 167.
% 0.23/0.57  311 back subsumes 144.
% 0.23/0.57  312 back subsumes 145.
% 0.23/0.57  350 back subsumes 307.
% 0.23/0.57  351 back subsumes 206.
% 0.23/0.57  352 back subsumes 308.
% 0.23/0.57  352 back subsumes 205.
% 0.23/0.57  383 back subsumes 301.
% 0.23/0.57  443 back subsumes 231.
% 0.23/0.57  444 back subsumes 228.
% 0.23/0.57  446 back subsumes 247.
% 0.23/0.57  451 back subsumes 450.
% 0.23/0.57  452 back subsumes 449.
% 0.23/0.57  456 back subsumes 250.
% 0.23/0.57  466 back subsumes 465.
% 0.23/0.57  467 back subsumes 464.
% 0.23/0.57  468 back subsumes 263.
% 0.23/0.57  468 back subsumes 251.
% 0.23/0.57  469 back subsumes 264.
% 0.23/0.57  469 back subsumes 252.
% 0.23/0.57  470 back subsumes 265.
% 0.23/0.57  470 back subsumes 261.
% 0.23/0.57  471 back subsumes 266.
% 0.23/0.57  471 back subsumes 262.
% 0.23/0.57  497 back subsumes 496.
% 0.23/0.57  515 back subsumes 378.
% 0.23/0.57  515 back subsumes 21.
% 0.23/0.57  516 back subsumes 379.
% 0.23/0.57  516 back subsumes 20.
% 0.23/0.57  517 back subsumes 488.
% 0.23/0.57  517 back subsumes 380.
% 0.23/0.57  518 back subsumes 487.
% 0.23/0.57  518 back subsumes 381.
% 0.23/0.57  549 back subsumes 283.
% 0.23/0.57  549 back subsumes 249.
% 0.23/0.57  576 back subsumes 394.
% 0.23/0.57  585 back subsumes 419.
% 0.23/0.57  606 back subsumes 582.
% 0.23/0.57  607 back subsumes 581.
% 0.23/0.57  609 back subsumes 601.
% 0.23/0.57  611 back subsumes 445.
% 0.23/0.57  681 back subsumes 645.
% 0.23/0.57  725 back subsumes 724.
% 0.23/0.57    Following clause subsumed by 425 during input processing: 0 [copy,747,flip.1] {-} c_FFT__Mirabelle_Oroot(A)!=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex).
% 0.23/0.57  
% 0.23/0.57  ------------> process sos:
% 0.23/0.57    Following clause subsumed by 800 during input processing: 0 [] {-} hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_Suc(A))).
% 0.23/0.57    Following clause subsumed by 817 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)).
% 0.23/0.57    Following clause subsumed by 817 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.
% 0.23/0.57    Following clause subsumed by 818 during input processing: 0 [] {-} hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_nat),c_Suc(A))).
% 0.23/0.57    Following clause subsumed by 818 during input processing: 0 [unit_del,492] {-} hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_nat),c_Suc(A))).
% 0.23/0.57    Following clause subsumed by 830 during input processing: 0 [demod,824,824] {-} c_HOL_Ozero__class_Ozero(tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.23/0.57    Following clause subsumed by 818 during input processing: 0 [] {-} hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)))).
% 0.23/0.57    Following clause subsumed by 834 during input processing: 0 [] {-} hBOOL(hAPP(c_lessequals(A,tc_nat),A)).
% 0.23/0.57    Following clause subsumed by 803 during input processing: 0 [copy,803,flip.1] {-} c_HOL_Otimes__class_Otimes(A,B,tc_nat)=c_HOL_Otimes__class_Otimes(B,A,tc_nat).
% 0.23/0.57    Following clause subsumed by 943 during input processing: 0 [copy,830,flip.1] {-} c_HOL_Ozero__class_Ozero(tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.23/0.57  831 back subsumes 819.
% 0.23/0.57  834 back subsumes 809.
% 0.23/0.57    Following clause subsumed by 943 during input processing: 0 [copy,943,flip.1] {-} A=A.
% 0.23/0.57  943 back subsumes 830.
% 0.23/0.57  943 back subsumes 793.
% 0.23/0.57  943 back subsumes 746.
% 0.23/0.57  943 back subsumes 688.
% 0.23/0.57  943 back subsumes 670.
% 0.23/0.57  943 back subsumes 669.
% 0.23/0.57  943 back subsumes 668.
% 0.23/0.57  943 back subsumes 667.
% 0.23/0.57  943 back subsumes 663.
% 0.23/0.57  943 back subsumes 662.
% 0.23/0.57  943 back subsumes 661.
% 0.23/0.57    Following clause subsumed by 837 during input processing: 0 [copy,945,flip.1] {-} c_SetInterval_Oord__class_OatLeastLessThan(A,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)=c_SetInterval_Oord__class_OlessThan(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat).
% 0.23/0.57    Following clause subsumed by 838 during input processing: 0 [copy,946,flip.1] {-} c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),A,tc_nat)=c_SetInterval_Oord__class_OlessThan(A,tc_nat).
% 0.23/0.57    Following clause subsumed by 841 during input processing: 0 [copy,947,flip.1] {-} hAPP(c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(A),tc_Complex_Ocomplex),A)=c_HOL_Oone__class_Oone(tc_Complex_Ocomplex).
% 0.23/0.57  
% 0.23/0.57  ======= end of input processing =======
% 0.68/0.87  
% 0.68/0.87  
% 0.68/0.87  
% 0.68/0.87   Aborting on detection of an error:
% 0.68/0.87  
% 0.68/0.87   Too many clauses (whew!).
% 0.68/0.87  
%------------------------------------------------------------------------------