TSTP Solution File: ALG435-1 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : ALG435-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n021.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 : Thu Jul 14 18:01:53 EDT 2022

% Result   : Unknown 0.89s 1.13s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : ALG435-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.13  % Command  : sos-script %s
% 0.12/0.34  % Computer : n021.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Wed Jun  8 03:30:52 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.43  ----- Otter 3.2, August 2001 -----
% 0.19/0.43  The process was started by sandbox2 on n021.cluster.edu,
% 0.19/0.43  Wed Jun  8 03:30:52 2022
% 0.19/0.43  The command was "./sos".  The process ID is 16601.
% 0.19/0.43  
% 0.19/0.43  set(prolog_style_variables).
% 0.19/0.43  set(auto).
% 0.19/0.43     dependent: set(auto1).
% 0.19/0.43     dependent: set(process_input).
% 0.19/0.43     dependent: clear(print_kept).
% 0.19/0.43     dependent: clear(print_new_demod).
% 0.19/0.43     dependent: clear(print_back_demod).
% 0.19/0.43     dependent: clear(print_back_sub).
% 0.19/0.43     dependent: set(control_memory).
% 0.19/0.43     dependent: assign(max_mem, 12000).
% 0.19/0.43     dependent: assign(pick_given_ratio, 4).
% 0.19/0.43     dependent: assign(stats_level, 1).
% 0.19/0.43     dependent: assign(pick_semantic_ratio, 3).
% 0.19/0.43     dependent: assign(sos_limit, 5000).
% 0.19/0.43     dependent: assign(max_weight, 60).
% 0.19/0.43  clear(print_given).
% 0.19/0.43  
% 0.19/0.43  list(usable).
% 0.19/0.43  
% 0.19/0.43  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=6.
% 0.19/0.43  
% 0.19/0.43  This ia a non-Horn set with equality.  The strategy will be
% 0.19/0.43  Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.19/0.43  unit deletion, with positive clauses in sos and nonpositive
% 0.19/0.43  clauses in usable.
% 0.19/0.43  
% 0.19/0.43     dependent: set(knuth_bendix).
% 0.19/0.43     dependent: set(para_from).
% 0.19/0.43     dependent: set(para_into).
% 0.19/0.43     dependent: clear(para_from_right).
% 0.19/0.43     dependent: clear(para_into_right).
% 0.19/0.43     dependent: set(para_from_vars).
% 0.19/0.43     dependent: set(eq_units_both_ways).
% 0.19/0.43     dependent: set(dynamic_demod_all).
% 0.19/0.43     dependent: set(dynamic_demod).
% 0.19/0.43     dependent: set(order_eq).
% 0.19/0.43     dependent: set(back_demod).
% 0.19/0.43     dependent: set(lrpo).
% 0.19/0.43     dependent: set(hyper_res).
% 0.19/0.43     dependent: set(unit_deletion).
% 0.19/0.43     dependent: set(factor).
% 0.19/0.43  
% 0.19/0.43  ------------> process usable:
% 0.19/0.43    Following clause subsumed by 18 during input processing: 0 [] {-} -class_Divides_Osemiring__div(A)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(B,C,A),C,A),c_Divides_Odiv__class_Omod(B,C,A),A)=B.
% 0.19/0.43    Following clause subsumed by 32 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).
% 0.19/0.43    Following clause subsumed by 32 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).
% 0.19/0.43    Following clause subsumed by 35 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|c_HOL_Otimes__class_Otimes(B,c_HOL_Oplus__class_Oplus(C,D,A),A)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(B,D,A),A).
% 0.19/0.43    Following clause subsumed by 36 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(B,C,A),D,A)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,D,A),c_HOL_Otimes__class_Otimes(C,D,A),A).
% 0.19/0.43    Following clause subsumed by 41 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)|c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Osmult(B,C,A),D,tc_Polynomial_Opoly(A))|B=c_HOL_Ozero__class_Ozero(A)| -c_Ring__and__Field_Odvd__class_Odvd(C,D,tc_Polynomial_Opoly(A)).
% 0.19/0.43    Following clause subsumed by 44 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)|c_Ring__and__Field_Odvd__class_Odvd(B,C,tc_Polynomial_Opoly(A))|D=c_HOL_Ozero__class_Ozero(A)| -c_Ring__and__Field_Odvd__class_Odvd(B,c_Polynomial_Osmult(D,C,A),tc_Polynomial_Opoly(A)).
% 0.19/0.43    Following clause subsumed by 89 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.
% 0.19/0.43    Following clause subsumed by 89 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).
% 0.19/0.43    Following clause subsumed by 89 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).
% 0.19/0.43    Following clause subsumed by 33 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(D,E,A),A)=c_HOL_Otimes__class_Otimes(D,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(B,C,A),E,A),A).
% 0.19/0.43    Following clause subsumed by 32 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(D,E,A),A)=c_HOL_Otimes__class_Otimes(B,c_HOL_Otimes__class_Otimes(C,c_HOL_Otimes__class_Otimes(D,E,A),A),A).
% 0.19/0.43    Following clause subsumed by 65 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),c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(A),B,A),A).
% 0.19/0.43    Following clause subsumed by 109 during input processing: 0 [] {-} -class_Divides_Osemiring__div(A)|c_Ring__and__Field_Odvd__class_Odvd(B,C,A)| -c_Ring__and__Field_Odvd__class_Odvd(B,c_Divides_Odiv__class_Omod(C,D,A),A)| -c_Ring__and__Field_Odvd__class_Odvd(B,D,A).
% 0.19/0.43    Following clause subsumed by 110 during input processing: 0 [] {-} -class_Divides_Osemiring__div(A)|c_Ring__and__Field_Odvd__class_Odvd(B,c_Divides_Odiv__class_Omod(C,D,A),A)| -c_Ring__and__Field_Odvd__class_Odvd(B,D,A)| -c_Ring__and__Field_Odvd__class_Odvd(B,C,A).
% 0.19/0.43    Following clause subsumed by 120 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).
% 0.19/0.43    Following clause subsumed by 127 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.
% 0.19/0.43    Following clause subsumed by 140 during input processing: 0 [] {-} -class_Ring__and__Field_Oidom(A)| -class_Int_Onumber__ring(A)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(B,D,A),A)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,D,A),c_HOL_Otimes__class_Otimes(B,C,A),A).
% 0.19/0.43    Following clause subsumed by 120 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).
% 0.19/0.43    Following clause subsumed by 34 during input processing: 0 [flip.2] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(B,D,A),C,A)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(D,C,A),A).
% 0.19/0.43    Following clause subsumed by 159 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).
% 0.19/0.43    Following clause subsumed by 161 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).
% 0.19/0.43    Following clause subsumed by 197 during input processing: 0 [flip.2] {-} -class_OrderedGroup_Oab__group__add(A)|c_HOL_Oplus__class_Oplus(B,c_HOL_Ouminus__class_Ouminus(C,A),A)=c_HOL_Ominus__class_Ominus(B,C,A).
% 0.19/0.43    Following clause subsumed by 227 during input processing: 0 [flip.2] {-} -class_RealVector_Oreal__normed__algebra(A)|c_RealVector_OscaleR__class_OscaleR(B,c_HOL_Otimes__class_Otimes(C,D,A),A)=c_HOL_Otimes__class_Otimes(c_RealVector_OscaleR__class_OscaleR(B,C,A),D,A).
% 0.19/0.43    Following clause subsumed by 229 during input processing: 0 [flip.2] {-} -class_RealVector_Oreal__normed__algebra(A)|c_RealVector_OscaleR__class_OscaleR(C,c_HOL_Otimes__class_Otimes(B,D,A),A)=c_HOL_Otimes__class_Otimes(B,c_RealVector_OscaleR__class_OscaleR(C,D,A),A).
% 0.19/0.44    Following clause subsumed by 116 during input processing: 0 [flip.2] {-} -class_Ring__and__Field_Oring(A)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(E,C,A),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(B,E,A),C,A),D,A),A)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,C,A),D,A).
% 0.19/0.44    Following clause subsumed by 268 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).
% 0.19/0.44    Following clause subsumed by 276 during input processing: 0 [flip.2] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(B,C,A),D,A)=c_HOL_Oplus__class_Oplus(B,c_HOL_Oplus__class_Oplus(C,D,A),A).
% 0.19/0.44    Following clause subsumed by 276 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(B,C,A),D,A)=c_HOL_Oplus__class_Oplus(B,c_HOL_Oplus__class_Oplus(C,D,A),A).
% 0.19/0.44    Following clause subsumed by 281 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).
% 0.19/0.44    Following clause subsumed by 281 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).
% 0.19/0.44    Following clause subsumed by 13 during input processing: 0 [flip.2] {-} -class_Divides_Osemiring__div(A)|c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(B,c_Divides_Odiv__class_Omod(C,D,A),A),D,A)=c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(B,C,A),D,A).
% 0.19/0.44    Following clause subsumed by 14 during input processing: 0 [flip.2] {-} -class_Divides_Osemiring__div(A)|c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(B,D,A),C,A),D,A)=c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(B,C,A),D,A).
% 0.19/0.44    Following clause subsumed by 292 during input processing: 0 [] {-} -class_OrderedGroup_Ogroup__add(A)|c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(B,A),B,A)=c_HOL_Ozero__class_Ozero(A).
% 0.19/0.44    Following clause subsumed by 295 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).
% 0.19/0.44    Following clause subsumed by 296 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).
% 0.19/0.44    Following clause subsumed by 121 during input processing: 0 [flip.2] {-} -class_Divides_Osemiring__div(A)|c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(B,D,A),C,A),D,A)=c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(B,C,A),D,A).
% 0.19/0.44    Following clause subsumed by 244 during input processing: 0 [] {-} -class_SEQ_Obanach(A)| -class_RealVector_Oreal__normed__field(A)|c_Transcendental_Oexp(c_HOL_Oplus__class_Oplus(B,C,A),A)=c_HOL_Otimes__class_Otimes(c_Transcendental_Oexp(B,A),c_Transcendental_Oexp(C,A),A).
% 0.19/0.44    Following clause subsumed by 342 during input processing: 0 [flip.2] {-} -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(B,A),A)=B.
% 0.19/0.44    Following clause subsumed by 342 during input processing: 0 [flip.2] {-} -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(B,A),A)=B.
% 0.19/0.44    Following clause subsumed by 342 during input processing: 0 [] {-} -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(B,A),A)=B.
% 0.19/0.44    Following clause subsumed by 353 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).
% 0.19/0.44    Following clause subsumed by 352 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).
% 0.19/0.44    Following clause subsumed by 362 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).
% 0.19/0.44    Following clause subsumed by 374 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__vector(A)|c_RealVector_OscaleR__class_OscaleR(B,c_RealVector_OscaleR__class_OscaleR(C,D,A),A)=c_RealVector_OscaleR__class_OscaleR(C,c_RealVector_OscaleR__class_OscaleR(B,D,A),A).
% 0.19/0.44    Following clause subsumed by 376 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Oplus__class_Oplus(B,C,A)=c_HOL_Oplus__class_Oplus(C,B,A).
% 0.19/0.44    Following clause subsumed by 399 during input processing: 0 [] {-} -class_Ring__and__Field_Oidom(A)| -class_Int_Onumber__ring(A)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(D,E,A),A)!=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,E,A),c_HOL_Otimes__class_Otimes(D,C,A),A)|C=E|B=D.
% 0.19/0.44    Following clause subsumed by 408 during input processing: 0 [] {-} -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).
% 0.19/0.44    Following clause subsumed by 436 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)|c_Ring__and__Field_Odvd__class_Odvd(B,c_Polynomial_Opoly__gcd(C,D,A),tc_Polynomial_Opoly(A))| -c_Ring__and__Field_Odvd__class_Odvd(B,D,tc_Polynomial_Opoly(A))| -c_Ring__and__Field_Odvd__class_Odvd(B,C,tc_Polynomial_Opoly(A)).
% 0.19/0.44    Following clause subsumed by 438 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).
% 0.19/0.44    Following clause subsumed by 391 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(c_HOL_Ozero__class_Ozero(A),B,A),B,A)=c_HOL_Ozero__class_Ozero(A).
% 0.19/0.44    Following clause subsumed by 469 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).
% 0.19/0.44    Following clause subsumed by 361 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).
% 0.19/0.44    Following clause subsumed by 347 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).
% 0.19/0.44    Following clause subsumed by 478 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).
% 0.19/0.44    Following clause subsumed by 474 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).
% 0.19/0.44    Following clause subsumed by 485 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).
% 0.19/0.44    Following clause subsumed by 490 during input processing: 0 [] {-} -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ominus__class_Ominus(B,B,A)=c_HOL_Ozero__class_Ozero(A).
% 0.19/0.44    Following clause subsumed by 347 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).
% 0.19/0.44    Following clause subsumed by 347 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).
% 0.19/0.45    Following clause subsumed by 515 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(A),B,A)=B.
% 0.19/0.45    Following clause subsumed by 155 during input processing: 0 [] {-} -class_HOL_Ozero(A)| -class_HOL_Oeq(A)|c_HOL_Oeq__class_Oeq(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)).
% 0.19/0.45    Following clause subsumed by 536 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)| -c_Polynomial_Opdivmod__rel(B,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)),C,D,A)|C=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)).
% 0.19/0.45  558 back subsumes 519.
% 0.19/0.45  
% 0.19/0.45  ------------> process sos:
% 0.19/0.45    Following clause subsumed by 754 during input processing: 0 [copy,754,flip.1] {-} A=A.
% 0.19/0.45  754 back subsumes 635.
% 0.19/0.45  754 back subsumes 634.
% 0.19/0.45  754 back subsumes 633.
% 0.19/0.45  754 back subsumes 628.
% 0.19/0.45  754 back subsumes 605.
% 0.19/0.45  754 back subsumes 604.
% 0.19/0.45  754 back subsumes 600.
% 0.19/0.45  
% 0.19/0.45  ======= end of input processing =======
% 0.47/0.69  
% 0.47/0.69  
% 0.47/0.69  Failed to model usable list: disabling FINDER
% 0.47/0.69  
% 0.47/0.69  
% 0.47/0.69  
% 0.47/0.69  -------------- Softie stats --------------
% 0.47/0.69  
% 0.47/0.69  UPDATE_STOP: 300
% 0.47/0.69  SFINDER_TIME_LIMIT: 2
% 0.47/0.69  SHORT_CLAUSE_CUTOFF: 4
% 0.47/0.69  number of clauses in intial UL: 555
% 0.47/0.69  number of clauses initially in problem: 672
% 0.47/0.69  percentage of clauses intially in UL: 82
% 0.47/0.69  percentage of distinct symbols occuring in initial UL: 94
% 0.47/0.69  percent of all initial clauses that are short: 99
% 0.47/0.69  absolute distinct symbol count: 97
% 0.47/0.69     distinct predicate count: 61
% 0.47/0.69     distinct function count: 31
% 0.47/0.69     distinct constant count: 5
% 0.47/0.69  
% 0.47/0.69  ---------- no more Softie stats ----------
% 0.47/0.69  
% 0.47/0.69  
% 0.47/0.69  
% 0.47/0.69  =========== start of search ===========
% 0.89/1.13  c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(A,B,tc_nat),c_Divides_Odiv__class_Omod(C,B,tc_nat),tc_nat),B,tc_nat)=c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(A,C,tc_nat),B,tc_nat).
% 0.89/1.13  
% 0.89/1.13  ------------- memory usage ------------
% 0.89/1.13  315 mallocs of 32700 bytes each, 10059.1 K.
% 0.89/1.13    type (bytes each)        gets      frees     in use      avail      bytes
% 0.89/1.13  sym_ent ( 304)              239          0        239          0     71.0 K
% 0.89/1.13  term (  32)              193660     156948      36712         25   1148.0 K
% 0.89/1.13  rel (  40)               158520      99386      59134         26   2310.9 K
% 0.89/1.13  term_ptr (  16)          216444        829     215615         28   3369.4 K
% 0.89/1.13  formula_ptr_2 (  56)          0          0          0          0      0.0 K
% 0.89/1.13  fpa_head (  24)           13963         38      13925          0    326.4 K
% 0.89/1.13  fpa_tree (  56)           23110      23110          0         21      1.1 K
% 0.89/1.13  context (1288)            32987      32987          0          6      7.5 K
% 0.89/1.13  trail (  24)             502089     502089          0          6      0.1 K
% 0.89/1.13  imd_tree (  32)             442         18        424          7     13.5 K
% 0.89/1.13  imd_pos (4024)             4359       4359          0          4     15.7 K
% 0.89/1.13  is_tree (  24)            18501        111      18390         14    431.3 K
% 0.89/1.13  is_pos (2424)            300298     300298          0         19     45.0 K
% 0.89/1.13  fsub_pos (  16)           26428      26428          0          1      0.0 K
% 0.89/1.13  literal (  32)            22503       1576      20927          1    654.0 K
% 0.89/1.13  clause (  88)              7005        457       6548          1    562.8 K
% 0.89/1.13  list ( 272)                  10          3          7          1      2.1 K
% 0.89/1.13  clash_nd (  80)             102        102          0          4      0.3 K
% 0.89/1.13  clause_ptr (  16)          6138        155       5983          3     93.5 K
% 0.89/1.13  int_ptr (  16)            50705       1157      49548          5    774.3 K
% 0.89/1.13  ci_ptr (  24)                 0          0          0          0      0.0 K
% 0.89/1.13  link_node ( 120)              0          0          0          0      0.0 K
% 0.89/1.13  ans_lit_node(  24)            0          0          0          0      0.0 K
% 0.89/1.13  formula_box( 168)             0          0          0          0      0.0 K
% 0.89/1.13  formula(  40)                 0          0          0          0      0.0 K
% 0.89/1.13  formula_ptr(  16)             0          0          0          0      0.0 K
% 0.89/1.13  cl_attribute(  24)            0          0          0          0      0.0 K
% 0.89/1.13  
% 0.89/1.13  ********** is_delete, can't find end.
% 0.89/1.13  s time         0.00
% 0.89/1.13    print_cl time        0.00
% 0.89/1.13    conflict time        0.00
% 0.89/1.13    new demod time       0.00
% 0.89/1.13  post_process time      0.00
% 0.89/1.13    back demod time      0.00
% 0.89/1.13    back subsume         0.00
% 0.89/1.13    factor time          0.00
% 0.89/1.13  FINDER time            0.00
% 0.89/1.13    unindex time         0.00
% 0.89/1.13  
% 0.89/1.13  Forward subsumption counts, subsumer:number_subsumed.
% 0.89/1.13   1:0     2:0     3:0     4:0     5:0     6:0     7:0     8:0     9:0    10:0   
% 0.89/1.13  11:0    12:0    13:1    14:1    15:0    16:0    17:0    18:1    19:0    20:0   
% 0.89/1.13  21:0    22:0    23:0    24:0    25:0    26:0    27:0    28:0    29:0    30:0   
% 0.89/1.13  31:0    32:3    33:1    34:1    35:1    36:1    37:0    38:0    39:0    40:0   
% 0.89/1.13  41:1    42:0    43:0    44:1    45:0    46:0    47:0    48:0    49:0    50:0   
% 0.89/1.13  51:0    52:0    53:0    54:0    55:0    56:0    57:0    58:0    59:0    60:0   
% 0.89/1.13  61:0    62:0    63:0    64:0    65:1    66:0    67:0    68:0    69:0    70:0   
% 0.89/1.13  71:0    72:0    73:0    74:0    75:0    76:0    77:0    78:0    79:0    80:0   
% 0.89/1.13  81:0    82:0    83:0    84:0    85:0    86:0    87:0    88:0    89:3    90:0   
% 0.89/1.13  91:0    92:0    93:0    94:0    95:0    96:0    97:0    98:0    99:0    
% 0.89/1.13  All others: 192.
% 0.89/1.13  
% 0.89/1.13  ********** ABNORMAL END **********
% 0.89/1.13  
% 0.89/1.13  ********** is_delete, can't find end.
%------------------------------------------------------------------------------