TSTP Solution File: SWV658-1 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : SWV658-1 : 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 21:39:49 EDT 2022

% Result   : Unknown 2.82s 3.07s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : SWV658-1 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.12  % Command  : sos-script %s
% 0.12/0.33  % Computer : n014.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Wed Jun 15 07:59:21 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.43  ----- Otter 3.2, August 2001 -----
% 0.18/0.43  The process was started by sandbox on n014.cluster.edu,
% 0.18/0.43  Wed Jun 15 07:59:21 2022
% 0.18/0.43  The command was "./sos".  The process ID is 11426.
% 0.18/0.43  
% 0.18/0.43  set(prolog_style_variables).
% 0.18/0.43  set(auto).
% 0.18/0.43     dependent: set(auto1).
% 0.18/0.43     dependent: set(process_input).
% 0.18/0.43     dependent: clear(print_kept).
% 0.18/0.43     dependent: clear(print_new_demod).
% 0.18/0.43     dependent: clear(print_back_demod).
% 0.18/0.43     dependent: clear(print_back_sub).
% 0.18/0.43     dependent: set(control_memory).
% 0.18/0.43     dependent: assign(max_mem, 12000).
% 0.18/0.43     dependent: assign(pick_given_ratio, 4).
% 0.18/0.43     dependent: assign(stats_level, 1).
% 0.18/0.43     dependent: assign(pick_semantic_ratio, 3).
% 0.18/0.43     dependent: assign(sos_limit, 5000).
% 0.18/0.43     dependent: assign(max_weight, 60).
% 0.18/0.43  clear(print_given).
% 0.18/0.43  
% 0.18/0.43  list(usable).
% 0.18/0.43  
% 0.18/0.43  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=7.
% 0.18/0.43  
% 0.18/0.43  This ia a non-Horn set with equality.  The strategy will be
% 0.18/0.43  Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.18/0.43  unit deletion, with positive clauses in sos and nonpositive
% 0.18/0.43  clauses in usable.
% 0.18/0.43  
% 0.18/0.43     dependent: set(knuth_bendix).
% 0.18/0.43     dependent: set(para_from).
% 0.18/0.43     dependent: set(para_into).
% 0.18/0.43     dependent: clear(para_from_right).
% 0.18/0.43     dependent: clear(para_into_right).
% 0.18/0.43     dependent: set(para_from_vars).
% 0.18/0.43     dependent: set(eq_units_both_ways).
% 0.18/0.43     dependent: set(dynamic_demod_all).
% 0.18/0.43     dependent: set(dynamic_demod).
% 0.18/0.43     dependent: set(order_eq).
% 0.18/0.43     dependent: set(back_demod).
% 0.18/0.43     dependent: set(lrpo).
% 0.18/0.43     dependent: set(hyper_res).
% 0.18/0.43     dependent: set(unit_deletion).
% 0.18/0.43     dependent: set(factor).
% 0.18/0.43  
% 0.18/0.43  ------------> process usable:
% 0.18/0.43    Following clause subsumed by 18 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),hAPP(hAPP(c_HOL_Ominus__class_Ominus(A),B),C)),D)=hAPP(hAPP(c_HOL_Ominus__class_Ominus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),C),D)).
% 0.18/0.43    Following clause subsumed by 20 during input processing: 0 [flip.2] {-} -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_HOL_Ominus__class_Ominus(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_Ominus__class_Ominus(A),C),D)).
% 0.18/0.43    Following clause subsumed by 25 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),hAPP(c_HOL_Ouminus__class_Ouminus(A),B)),C)=hAPP(c_HOL_Ouminus__class_Ouminus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)).
% 0.18/0.43    Following clause subsumed by 26 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),hAPP(c_HOL_Ouminus__class_Ouminus(A),C))=hAPP(c_HOL_Ouminus__class_Ouminus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)).
% 0.18/0.43    Following clause subsumed by 37 during input processing: 0 [] {-} -class_OrderedGroup_Ogroup__add(A)|hAPP(hAPP(c_HOL_Ominus__class_Ominus(A),B),B)=c_HOL_Ozero__class_Ozero(A).
% 0.18/0.43    Following clause subsumed by 43 during input processing: 0 [] {-} -class_OrderedGroup_Ogroup__add(A)|hAPP(c_HOL_Ouminus__class_Ouminus(A),c_HOL_Ozero__class_Ozero(A))=c_HOL_Ozero__class_Ozero(A).
% 0.18/0.43    Following clause subsumed by 45 during input processing: 0 [] {-} -class_OrderedGroup_Opordered__ab__group__add(A)|c_lessequals(B,hAPP(c_HOL_Ouminus__class_Ouminus(A),C),A)| -c_lessequals(C,hAPP(c_HOL_Ouminus__class_Ouminus(A),B),A).
% 0.18/0.43    Following clause subsumed by 46 during input processing: 0 [] {-} -class_OrderedGroup_Opordered__ab__group__add(A)|c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(A),B),C,A)| -c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(A),C),B,A).
% 0.18/0.43    Following clause subsumed by 48 during input processing: 0 [flip.2] {-} -class_OrderedGroup_Ogroup__add(A)|hAPP(c_HOL_Ouminus__class_Ouminus(A),hAPP(c_HOL_Ouminus__class_Ouminus(A),B))=B.
% 0.18/0.43    Following clause subsumed by 48 during input processing: 0 [flip.2] {-} -class_OrderedGroup_Ogroup__add(A)|hAPP(c_HOL_Ouminus__class_Ouminus(A),hAPP(c_HOL_Ouminus__class_Ouminus(A),B))=B.
% 0.18/0.43    Following clause subsumed by 48 during input processing: 0 [] {-} -class_OrderedGroup_Ogroup__add(A)|hAPP(c_HOL_Ouminus__class_Ouminus(A),hAPP(c_HOL_Ouminus__class_Ouminus(A),B))=B.
% 0.18/0.43    Following clause subsumed by 57 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C| -c_lessequals(C,B,A)| -c_lessequals(B,C,A).
% 0.18/0.43    Following clause subsumed by 57 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C| -c_lessequals(B,C,A)| -c_lessequals(C,B,A).
% 0.18/0.43    Following clause subsumed by 64 during input processing: 0 [flip.2] {-} -class_OrderedGroup_Oab__group__add(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),hAPP(c_HOL_Ouminus__class_Ouminus(A),C))=hAPP(hAPP(c_HOL_Ominus__class_Ominus(A),B),C).
% 0.18/0.43    Following clause subsumed by 88 during input processing: 0 [] {-} -class_Int_Onumber__ring(A)|hAPP(c_HOL_Ouminus__class_Ouminus(A),c_HOL_Oone__class_Oone(A))=c_Int_Onumber__class_Onumber__of(c_Int_OMin,A).
% 0.18/0.43    Following clause subsumed by 94 during input processing: 0 [flip.1] {-} c_Int_OPls!=c_Int_OMin.
% 0.18/0.43    Following clause subsumed by 98 during input processing: 0 [] {-} c_Int_OBit0(A)!=c_Int_OMin.
% 0.18/0.43    Following clause subsumed by 106 during input processing: 0 [] {-} -hBOOL(hAPP(A,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),C)),B)))|hBOOL(hAPP(A,C)).
% 0.18/0.43    Following clause subsumed by 108 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).
% 0.18/0.43    Following clause subsumed by 110 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).
% 0.18/0.43    Following clause subsumed by 119 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_lessequals(B,hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),C),c_Int_Onumber__class_Onumber__of(D,A)),A)| -c_lessequals(B,c_HOL_Ozero__class_Ozero(A),A)| -c_lessequals(C,hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),c_Int_Onumber__class_Onumber__of(D,A)),A)| -c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),c_Int_Onumber__class_Onumber__of(D,A)),C,A).
% 0.18/0.43    Following clause subsumed by 120 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_lessequals(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),c_Int_Onumber__class_Onumber__of(C,A)),D,A)| -c_lessequals(c_HOL_Ozero__class_Ozero(A),D,A)| -c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),c_Int_Onumber__class_Onumber__of(C,A)),B,A)| -c_lessequals(B,hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),c_Int_Onumber__class_Onumber__of(C,A)),A).
% 0.18/0.43    Following clause subsumed by 119 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_lessequals(c_Int_Onumber__class_Onumber__of(B,A),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),C),D),A)| -c_lessequals(c_Int_Onumber__class_Onumber__of(B,A),c_HOL_Ozero__class_Ozero(A),A)| -c_lessequals(C,hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(B,A)),D),A)| -c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(B,A)),D),C,A).
% 0.18/0.43    Following clause subsumed by 120 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_lessequals(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),C),c_Int_Onumber__class_Onumber__of(D,A),A)| -c_lessequals(c_HOL_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(D,A),A)| -c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(D,A)),C),B,A)| -c_lessequals(B,hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(D,A)),C),A).
% 0.18/0.44    Following clause subsumed by 175 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).
% 0.18/0.44    Following clause subsumed by 188 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).
% 0.18/0.44    Following clause subsumed by 189 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).
% 0.18/0.44    Following clause subsumed by 189 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).
% 0.18/0.44    Following clause subsumed by 190 during input processing: 0 [] {-} -class_OrderedGroup_Ogroup__add(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(c_HOL_Ouminus__class_Ouminus(A),B)),B)=c_HOL_Ozero__class_Ozero(A).
% 0.18/0.44    Following clause subsumed by 211 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),hAPP(hAPP(c_HOL_Ominus__class_Ominus(A),B),E)),C)),D))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)),D).
% 0.18/0.44    Following clause subsumed by 256 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.
% 0.18/0.44    Following clause subsumed by 278 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)).
% 0.18/0.44    Following clause subsumed by 280 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)).
% 0.18/0.44    Following clause subsumed by 283 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)).
% 0.18/0.44    Following clause subsumed by 283 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)).
% 0.18/0.44    Following clause subsumed by 299 during input processing: 0 [flip.1] {-} hAPP(c_Suc,A)!=A.
% 0.18/0.44    Following clause subsumed by 311 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),c_Int_Onumber__class_Onumber__of(C,A))),c_Int_Onumber__class_Onumber__of(C,A))=B|c_Int_Onumber__class_Onumber__of(C,A)=c_HOL_Ozero__class_Ozero(A).
% 0.18/0.44    Following clause subsumed by 318 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)|B=c_HOL_Ozero__class_Ozero(A)|hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),C),B)),B)=C.
% 0.18/0.44    Following clause subsumed by 318 during input processing: 0 [flip.3] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)),C)=B|C=c_HOL_Ozero__class_Ozero(A).
% 0.18/0.44    Following clause subsumed by 318 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)),C)=B|C=c_HOL_Ozero__class_Ozero(A).
% 0.18/0.44    Following clause subsumed by 284 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)).
% 0.18/0.44    Following clause subsumed by 283 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))).
% 0.18/0.44    Following clause subsumed by 328 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).
% 0.18/0.44    Following clause subsumed by 269 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_Int_Onumber__class_Onumber__of(B,A)!=c_HOL_Ozero__class_Ozero(A)|hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(B,A)),C)),C)=c_Int_Onumber__class_Onumber__of(B,A).
% 0.18/0.44    Following clause subsumed by 323 during input processing: 0 [] {-} -class_Ring__and__Field_Ozero__neq__one(A)|c_HOL_Ozero__class_Ozero(A)!=c_HOL_Oone__class_Oone(A).
% 0.18/0.44    Following clause subsumed by 340 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)| -class_Int_Onumber__ring(A)|hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),A))=B.
% 0.18/0.44    Following clause subsumed by 309 during input processing: 0 [] {-} -class_Ring__and__Field_Osemiring__0(A)| -class_Power_Opower(A)|hAPP(c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(A),A),c_HOL_Ozero__class_Ozero(tc_nat))=c_HOL_Oone__class_Oone(A).
% 0.18/0.44    Following clause subsumed by 291 during input processing: 0 [] {-} -class_OrderedGroup_Omonoid__mult(A)| -class_Int_Onumber(A)|hAPP(c_Power_Opower__class_Opower(c_Int_Onumber__class_Onumber__of(B,A),A),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(B,A)),c_Int_Onumber__class_Onumber__of(B,A)).
% 0.18/0.44    Following clause subsumed by 345 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).
% 0.18/0.44    Following clause subsumed by 343 during input processing: 0 [flip.1] {-} c_Int_OBit1(A)!=c_Int_OPls.
% 0.18/0.44    Following clause subsumed by 349 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)|B=C|A=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.18/0.44    Following clause subsumed by 318 during input processing: 0 [flip.4] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(B,A)),C)),C)=c_Int_Onumber__class_Onumber__of(B,A)|C=c_HOL_Ozero__class_Ozero(A).
% 0.18/0.44    Following clause subsumed by 351 during input processing: 0 [] {-} hAPP(c_Suc,A)!=hAPP(c_Suc,B)|A=B.
% 0.18/0.44    Following clause subsumed by 353 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),c_Int_Onumber__class_Onumber__of(C,A))),c_Int_Onumber__class_Onumber__of(C,A))=B|c_Int_Onumber__class_Onumber__of(C,A)=c_HOL_Ozero__class_Ozero(A).
% 0.18/0.44    Following clause subsumed by 306 during input processing: 0 [] {-} -class_Ring__and__Field_Osemiring__0(A)| -class_Power_Opower(A)|hAPP(c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(A),A),c_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).
% 0.18/0.44    Following clause subsumed by 307 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(c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(A),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).
% 0.18/0.44    Following clause subsumed by 358 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.
% 0.18/0.44    Following clause subsumed by 359 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.
% 0.18/0.44    Following clause subsumed by 318 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(B,A)),C)),C)=c_Int_Onumber__class_Onumber__of(B,A)|C=c_HOL_Ozero__class_Ozero(A).
% 0.18/0.44    Following clause subsumed by 364 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),C)),C)=B|C=c_HOL_Ozero__class_Ozero(A).
% 0.18/0.44    Following clause subsumed by 367 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).
% 0.18/0.44    Following clause subsumed by 368 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).
% 0.18/0.44    Following clause subsumed by 365 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).
% 0.18/0.44    Following clause subsumed by 379 during input processing: 0 [] {-} hAPP(c_Suc,A)!=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.18/0.44    Following clause subsumed by 355 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_HOL_Ozero__class_Ozero(A)),c_Int_Onumber__class_Onumber__of(B,A))),c_Int_Onumber__class_Onumber__of(B,A))=c_HOL_Ozero__class_Ozero(A).
% 0.18/0.44    Following clause subsumed by 378 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).
% 0.18/0.44    Following clause subsumed by 355 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_HOL_Ozero__class_Ozero(A)),B)),B)=c_HOL_Ozero__class_Ozero(A).
% 0.18/0.44    Following clause subsumed by 407 during input processing: 0 [] {-} hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)!=A|B=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.18/0.45    Following clause subsumed by 414 during input processing: 0 [] {-} c_HOL_Ozero__class_Ozero(tc_nat)!=hAPP(c_Suc,A).
% 0.18/0.45    Following clause subsumed by 420 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.
% 0.18/0.45    Following clause subsumed by 424 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)).
% 0.18/0.45    Following clause subsumed by 381 during input processing: 0 [flip.2] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),hAPP(c_Power_Opower__class_Opower(B,A),C))=hAPP(c_Power_Opower__class_Opower(B,A),hAPP(c_Suc,C)).
% 0.18/0.45    Following clause subsumed by 381 during input processing: 0 [flip.2] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),hAPP(c_Power_Opower__class_Opower(B,A),C))=hAPP(c_Power_Opower__class_Opower(B,A),hAPP(c_Suc,C)).
% 0.18/0.45    Following clause subsumed by 431 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).
% 0.18/0.45    Following clause subsumed by 436 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)).
% 0.18/0.45    Following clause subsumed by 436 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)).
% 0.18/0.45    Following clause subsumed by 444 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)|hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),B)=c_HOL_Oone__class_Oone(A)|B=c_HOL_Ozero__class_Ozero(A).
% 0.18/0.45    Following clause subsumed by 444 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),B)=c_HOL_Oone__class_Oone(A)|B=c_HOL_Ozero__class_Ozero(A).
% 0.18/0.45    Following clause subsumed by 389 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),c_HOL_Ozero__class_Ozero(A))=c_HOL_Ozero__class_Ozero(A).
% 0.18/0.45    Following clause subsumed by 389 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),c_HOL_Ozero__class_Ozero(A))=c_HOL_Ozero__class_Ozero(A).
% 0.18/0.45    Following clause subsumed by 471 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.
% 0.18/0.45    Following clause subsumed by 313 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(c_Power_Opower__class_Opower(B,A),c_Int_Onumber__class_Onumber__of(C,tc_nat))!=c_HOL_Ozero__class_Ozero(A)|B=c_HOL_Ozero__class_Ozero(A).
% 0.18/0.45  219 back subsumes 130.
% 0.18/0.45    Following clause subsumed by 464 during input processing: 0 [copy,267,flip.1] {-} c_Int_OBit0(A)!=c_Int_OBit1(B).
% 0.18/0.45  318 back subsumes 311.
% 0.18/0.45  355 back subsumes 326.
% 0.18/0.45  364 back subsumes 353.
% 0.18/0.45    Following clause subsumed by 414 during input processing: 0 [copy,379,flip.1] {-} c_HOL_Ozero__class_Ozero(tc_nat)!=hAPP(c_Suc,A).
% 0.18/0.45  389 back subsumes 258.
% 0.18/0.45    Following clause subsumed by 379 during input processing: 0 [copy,414,flip.1] {-} hAPP(c_Suc,A)!=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.18/0.45    Following clause subsumed by 267 during input processing: 0 [copy,464,flip.1] {-} c_Int_OBit1(A)!=c_Int_OBit0(B).
% 0.18/0.46  515 back subsumes 514.
% 0.18/0.46  
% 0.18/0.46  ------------> process sos:
% 0.18/0.46    Following clause subsumed by 598 during input processing: 0 [demod,602] {-} c_HOL_Oone__class_Oone(tc_nat)=c_HOL_Oone__class_Oone(tc_nat).
% 0.18/0.46    Following clause subsumed by 702 during input processing: 0 [demod,620,620,668,677,692,620] {-} 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)).
% 0.18/0.46    Following clause subsumed by 708 during input processing: 0 [demod,643,643] {-} 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)).
% 0.18/0.46    Following clause subsumed by 704 during input processing: 0 [demod,620,606,698,698,677,668,677,711] {-} 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))).
% 0.18/0.46    Following clause subsumed by 718 during input processing: 0 [] {-} hAPP(c_COMBS(A,B,C,D,E),F)=hAPP(hAPP(A,F),hAPP(B,F)).
% 0.18/0.46    Following clause subsumed by 557 during input processing: 0 [] {-} hAPP(c_COMBC(A,B,C,D,E),F)=hAPP(hAPP(A,F),B).
% 0.18/0.46    Following clause subsumed by 731 during input processing: 0 [demod,717] {-} hAPP(A,hAPP(B,F))=hAPP(A,hAPP(B,F)).
% 0.18/0.46    Following clause subsumed by 731 during input processing: 0 [] {-} A=A.
% 0.18/0.46    Following clause subsumed by 558 during input processing: 0 [copy,558,flip.1] {-} hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),A),B)),C)=hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),A),C)),B).
% 0.18/0.46    Following clause subsumed by 731 during input processing: 0 [copy,572,flip.1] {-} c_Int_OMin=c_Int_OMin.
% 0.18/0.46    Following clause subsumed by 731 during input processing: 0 [copy,598,flip.1,demod,698,698] {-} 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)).
% 0.18/0.46    Following clause subsumed by 731 during input processing: 0 [copy,656,flip.1,demod,689,689] {-} c_Int_Onumber__class_Onumber__of(c_Int_OMin,tc_nat)=c_Int_Onumber__class_Onumber__of(c_Int_OMin,tc_nat).
% 0.18/0.46    Following clause subsumed by 731 during input processing: 0 [copy,658,flip.1,demod,686,686] {-} c_Int_Onumber__class_Onumber__of(c_Int_OMin,tc_nat)=c_Int_Onumber__class_Onumber__of(c_Int_OMin,tc_nat).
% 0.18/0.46    Following clause subsumed by 731 during input processing: 0 [copy,679,flip.1] {-} 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)).
% 0.18/0.46    Following clause subsumed by 680 during input processing: 0 [copy,680,flip.1] {-} hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),A).
% 0.18/0.46    Following clause subsumed by 731 during input processing: 0 [copy,700,flip.1] {-} c_Int_OPls=c_Int_OPls.
% 0.18/0.46    Following clause subsumed by 731 during input processing: 0 [copy,702,flip.1] {-} 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)).
% 0.18/0.46    Following clause subsumed by 731 during input processing: 0 [copy,704,flip.1] {-} 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))).
% 0.18/0.46    Following clause subsumed by 731 during input processing: 0 [copy,706,flip.1] {-} c_Int_Onumber__class_Onumber__of(c_Int_OMin,tc_nat)=c_Int_Onumber__class_Onumber__of(c_Int_OMin,tc_nat).
% 0.18/0.46    Following clause subsumed by 708 during input processing: 0 [copy,708,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)).
% 0.18/0.46    Following clause subsumed by 712 during input processing: 0 [copy,712,flip.1] {-} hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),B)=hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),B),A).
% 0.18/0.46    Following clause subsumed by 715 during input processing: 0 [copy,715,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)).
% 0.18/0.46    Following clause subsumed by 731 during input processing: 0 [copy,731,flip.1] {-} A=A.
% 0.18/0.46  731 back subsumes 706.
% 0.18/0.46  731 back subsumes 704.
% 0.18/0.46  731 back subsumes 702.
% 0.18/0.46  731 back subsumes 700.
% 0.18/0.46  731 back subsumes 679.
% 0.18/0.46  731 back subsumes 572.
% 0.18/0.46  731 back subsumes 537.
% 0.18/0.46  731 back subsumes 492.
% 0.18/0.46  731 back subsumes 484.
% 0.18/0.46    Following clause subsumed by 557 during input processing: 0 [copy,848,flip.1] {-} hAPP(c_COMBC(A,B,C,D,E),F)=hAPP(hAPP(A,F),B).
% 0.18/0.46    Following clause subsumed by 581 during input processing: 0 [copy,851,flip.1] {-} hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),A),B)),C)=hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),C)).
% 0.18/0.46    Following clause subsumed by 593 during input processing: 0 [copy,852,flip.1] {-} hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),A),B)),C)=hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),C)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),B),C)).
% 0.18/0.46    Following clause subsumed by 631 during input processing: 0 [copy,922,flip.1] {-} c_FFT__Mirabelle_ODFT(A,B,v_i)=c_Finite__Set_Osetsum(c_COMBS(c_COMBB(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),c_COMBB(c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(A),tc_Complex_Ocomplex),hAPP(c_HOL_Otimes__class_Otimes(tc_nat),v_i),tc_nat,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex,tc_fun(tc_Complex_Ocomplex,tc_Complex_Ocomplex),tc_nat),B,tc_nat,tc_Complex_Ocomplex,tc_Complex_Ocomplex),c_SetInterval_Oord__class_OatLeastLessThan(c_Int_Onumber__class_Onumber__of(c_Int_OMin,tc_nat),A,tc_nat),tc_nat,tc_Complex_Ocomplex).
% 0.18/0.46    Following clause subsumed by 633 during input processing: 0 [copy,923,flip.1] {-} c_FFT__Mirabelle_OIDFT(A,B,v_i)=c_Finite__Set_Osetsum(c_COMBS(c_COMBB(c_HOL_Oinverse__class_Odivide(tc_Complex_Ocomplex),B,tc_Complex_Ocomplex,tc_fun(tc_Complex_Ocomplex,tc_Complex_Ocomplex),tc_nat),c_COMBB(c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(A),tc_Complex_Ocomplex),hAPP(c_HOL_Otimes__class_Otimes(tc_nat),v_i),tc_nat,tc_Complex_Ocomplex,tc_nat),tc_nat,tc_Complex_Ocomplex,tc_Complex_Ocomplex),c_SetInterval_Oord__class_OatLeastLessThan(c_Int_Onumber__class_Onumber__of(c_Int_OMin,tc_nat),A,tc_nat),tc_nat,tc_Complex_Ocomplex).
% 0.18/0.46    Following clause subsumed by 640 during input processing: 0 [copy,926,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)).
% 0.18/0.46    Following clause subsumed by 660 during input processing: 0 [copy,928,flip.1] {-} hAPP(c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(A),tc_Complex_Ocomplex),A)=c_FFT__Mirabelle_Oroot(c_Int_Onumber__class_Onumber__of(c_Int_OMin,tc_nat)).
% 0.18/0.46    Following clause subsumed by 666 during input processing: 0 [copy,929,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)).
% 0.18/0.46    Following clause subsumed by 718 during input processing: 0 [copy,942,flip.1] {-} hAPP(c_COMBS(A,B,C,D,E),F)=hAPP(hAPP(A,F),hAPP(B,F)).
% 0.18/0.46    Following clause subsumed by 726 during input processing: 0 [copy,943,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).
% 0.18/0.46  
% 0.18/0.46  ======= end of input processing =======
% 0.45/0.67  
% 0.45/0.67  
% 0.45/0.67  Failed to model usable list: disabling FINDER
% 0.45/0.67  
% 0.45/0.67  
% 0.45/0.67  
% 0.45/0.67  -------------- Softie stats --------------
% 0.45/0.67  
% 0.45/0.67  UPDATE_STOP: 300
% 0.45/0.67  SFINDER_TIME_LIMIT: 2
% 0.45/0.67  SHORT_CLAUSE_CUTOFF: 4
% 0.45/0.67  number of clauses in intial UL: 405
% 0.45/0.67  number of clauses initially in problem: 682
% 0.45/0.67  percentage of clauses intially in UL: 59
% 0.45/0.67  percentage of distinct symbols occuring in initial UL: 88
% 0.45/0.67  percent of all initial clauses that are short: 99
% 0.45/0.67  absolute distinct symbol count: 86
% 0.45/0.67     distinct predicate count: 58
% 0.45/0.67     distinct function count: 21
% 0.45/0.67     distinct constant count: 7
% 0.45/0.67  
% 0.45/0.67  ---------- no more Softie stats ----------
% 0.45/0.67  
% 0.45/0.67  
% 0.45/0.67  
% 0.45/0.67  =========== start of search ===========
% 1.50/1.73  
% 1.50/1.73  
% 1.50/1.73  Changing weight limit from 60 to 56.
% 1.50/1.73  
% 1.50/1.73  Resetting weight limit to 56 after 30 givens.
% 1.50/1.73  
% 2.82/3.07  hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),B)),C)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),D),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),A),E)),B)),C)))=hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),E),B)),D).
% 2.82/3.07  
% 2.82/3.07  ------------- memory usage ------------
% 2.82/3.07  452 mallocs of 32700 bytes each, 14434.0 K.
% 2.82/3.07    type (bytes each)        gets      frees     in use      avail      bytes
% 2.82/3.07  sym_ent ( 304)              236          0        236          0     70.1 K
% 2.82/3.07  term (  32)              475099     431818      43281       5631   1528.5 K
% 2.82/3.07  rel (  40)               424613     360112      64501       9401   2886.8 K
% 2.82/3.07  term_ptr (  16)          490945     158865     332080      65432   6211.1 K
% 2.82/3.07  formula_ptr_2 (  56)          0          0          0          0      0.0 K
% 2.82/3.07  fpa_head (  24)           10242       2661       7581        390    186.8 K
% 2.82/3.07  fpa_tree (  56)           35716      35716          0        161      8.8 K
% 2.82/3.07  context (1288)            50523      50523          0          6      7.5 K
% 2.82/3.07  trail (  24)            1302302    1302302          0          9      0.2 K
% 2.82/3.07  imd_tree (  32)             710        197        513         39     17.2 K
% 2.82/3.07  imd_pos (4024)            34752      34752          0          6     23.6 K
% 2.82/3.07  is_tree (  24)            34475      10343      24132       5295    689.7 K
% 2.82/3.07  is_pos (2424)           1054786    1054786          0         22     52.1 K
% 2.82/3.07  fsub_pos (  16)           39616      39616          0          1      0.0 K
% 2.82/3.07  literal (  32)            34828      13482      21346       2700    751.4 K
% 2.82/3.07  clause (  88)             10481       3709       6772        638    636.8 K
% 2.82/3.07  list ( 272)                  10          3          7          1      2.1 K
% 2.82/3.07  clash_nd (  80)             158        158          0          4      0.3 K
% 2.82/3.07  clause_ptr (  16)          7541       1280       6261        637    107.8 K
% 2.82/3.07  int_ptr (  16)            87462      29207      58255       7188   1022.5 K
% 2.82/3.07  ci_ptr (  24)                 0          0          0          0      0.0 K
% 2.82/3.07  link_node ( 120)              0          0          0          0      0.0 K
% 2.82/3.07  ans_lit_node(  24)            0          0          0          0      0.0 K
% 2.82/3.07  formula_box( 168)             0          0          0          0      0.0 K
% 2.82/3.07  formula(  40)                 0          0          0          0      0.0 K
% 2.82/3.07  formula_ptr(  16)             0          0          0          0      0.0 K
% 2.82/3.07  cl_attribute(  24)            0          0          0          0      0.0 K
% 2.82/3.07  
% 2.82/3.07  ********** is_delete, can't find end.
% 2.82/3.07  on      0.00
% 2.82/3.07    factor simplify      0.00
% 2.82/3.07    weigh cl time        0.00
% 2.82/3.07    hints keep time      0.00
% 2.82/3.07    sort lits time       0.00
% 2.82/3.07    forward subsume      0.00
% 2.82/3.07    delete cl time       0.00
% 2.82/3.07    keep cl time         0.00
% 2.82/3.07      hints time         0.00
% 2.82/3.07    print_cl time        0.00
% 2.82/3.07    conflict time        0.00
% 2.82/3.07    new demod time       0.00
% 2.82/3.07  post_process time      0.00
% 2.82/3.07    back demod time      0.00
% 2.82/3.07    back subsume         0.00
% 2.82/3.07    factor time          0.00
% 2.82/3.07  FINDER time            0.00
% 2.82/3.07    unindex time         0.00
% 2.82/3.07  
% 2.82/3.07  Forward subsumption counts, subsumer:number_subsumed.
% 2.82/3.07   1:0     2:0     3:0     4:0     5:0     6:0     7:0     8:0     9:0    10:0   
% 2.82/3.07  11:0    12:0    13:0    14:0    15:0    16:0    17:0    18:1    19:0    20:1   
% 2.82/3.07  21:0    22:0    23:0    24:0    25:1    26:1    27:0    28:0    29:0    30:0   
% 2.82/3.07  31:0    32:0    33:0    34:0    35:1    36:0    37:1    38:0    39:0    40:0   
% 2.82/3.07  41:0    42:0    43:1    44:0    45:1    46:1    47:3    48:3    49:0    50:0   
% 2.82/3.07  51:0    52:0    53:0    54:0    55:0    56:0    57:7    58:0    59:0    60:0   
% 2.82/3.07  61:0    62:0    63:0    64:1    65:0    66:0    67:0    68:1    69:0    70:0   
% 2.82/3.07  71:0    72:0    73:0    74:0    75:0    76:0    77:0    78:0    79:0    80:0   
% 2.82/3.07  81:0    82:0    83:0    84:0    85:0    86:0    87:0    88:1    89:0    90:0   
% 2.82/3.07  91:5    92:0    93:1    94:2    95:0    96:0    97:0    98:2    99:0    
% 2.82/3.07  All others: 917.
% 2.82/3.07  
% 2.82/3.07  ********** ABNORMAL END **********
% 2.82/3.07  
% 2.82/3.07  ********** is_delete, can't find end.
%------------------------------------------------------------------------------