TSTP Solution File: ALG344-1 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : ALG344-1 : 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 : Thu Jul 14 18:01:42 EDT 2022

% Result   : Unknown 0.91s 1.16s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : ALG344-1 : TPTP v8.1.0. Released v4.1.0.
% 0.12/0.13  % Command  : sos-script %s
% 0.13/0.34  % Computer : n018.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Wed Jun  8 12:00:22 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.21/0.44  ----- Otter 3.2, August 2001 -----
% 0.21/0.44  The process was started by sandbox on n018.cluster.edu,
% 0.21/0.44  Wed Jun  8 12:00:22 2022
% 0.21/0.44  The command was "./sos".  The process ID is 25769.
% 0.21/0.44  
% 0.21/0.44  set(prolog_style_variables).
% 0.21/0.44  set(auto).
% 0.21/0.44     dependent: set(auto1).
% 0.21/0.44     dependent: set(process_input).
% 0.21/0.44     dependent: clear(print_kept).
% 0.21/0.44     dependent: clear(print_new_demod).
% 0.21/0.44     dependent: clear(print_back_demod).
% 0.21/0.44     dependent: clear(print_back_sub).
% 0.21/0.44     dependent: set(control_memory).
% 0.21/0.44     dependent: assign(max_mem, 12000).
% 0.21/0.44     dependent: assign(pick_given_ratio, 4).
% 0.21/0.44     dependent: assign(stats_level, 1).
% 0.21/0.44     dependent: assign(pick_semantic_ratio, 3).
% 0.21/0.44     dependent: assign(sos_limit, 5000).
% 0.21/0.44     dependent: assign(max_weight, 60).
% 0.21/0.44  clear(print_given).
% 0.21/0.44  
% 0.21/0.44  list(usable).
% 0.21/0.44  
% 0.21/0.44  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=6.
% 0.21/0.44  
% 0.21/0.44  This ia a non-Horn set with equality.  The strategy will be
% 0.21/0.44  Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.21/0.44  unit deletion, with positive clauses in sos and nonpositive
% 0.21/0.44  clauses in usable.
% 0.21/0.44  
% 0.21/0.44     dependent: set(knuth_bendix).
% 0.21/0.44     dependent: set(para_from).
% 0.21/0.44     dependent: set(para_into).
% 0.21/0.44     dependent: clear(para_from_right).
% 0.21/0.44     dependent: clear(para_into_right).
% 0.21/0.44     dependent: set(para_from_vars).
% 0.21/0.44     dependent: set(eq_units_both_ways).
% 0.21/0.44     dependent: set(dynamic_demod_all).
% 0.21/0.44     dependent: set(dynamic_demod).
% 0.21/0.44     dependent: set(order_eq).
% 0.21/0.44     dependent: set(back_demod).
% 0.21/0.44     dependent: set(lrpo).
% 0.21/0.44     dependent: set(hyper_res).
% 0.21/0.44     dependent: set(unit_deletion).
% 0.21/0.44     dependent: set(factor).
% 0.21/0.44  
% 0.21/0.44  ------------> process usable:
% 0.21/0.44    Following clause subsumed by 14 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.
% 0.21/0.44    Following clause subsumed by 28 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).
% 0.21/0.44    Following clause subsumed by 28 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).
% 0.21/0.44    Following clause subsumed by 31 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).
% 0.21/0.44    Following clause subsumed by 32 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).
% 0.21/0.44    Following clause subsumed by 37 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)).
% 0.21/0.44    Following clause subsumed by 40 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)).
% 0.21/0.44    Following clause subsumed by 88 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.
% 0.21/0.44    Following clause subsumed by 88 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).
% 0.21/0.44    Following clause subsumed by 88 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).
% 0.21/0.44    Following clause subsumed by 29 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).
% 0.21/0.44    Following clause subsumed by 28 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).
% 0.21/0.44    Following clause subsumed by 64 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).
% 0.21/0.44    Following clause subsumed by 108 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).
% 0.21/0.44    Following clause subsumed by 109 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).
% 0.21/0.44    Following clause subsumed by 118 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).
% 0.21/0.44    Following clause subsumed by 124 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.
% 0.21/0.44    Following clause subsumed by 136 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).
% 0.21/0.44    Following clause subsumed by 118 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).
% 0.21/0.44    Following clause subsumed by 30 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).
% 0.21/0.44    Following clause subsumed by 155 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).
% 0.21/0.44    Following clause subsumed by 157 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).
% 0.21/0.44    Following clause subsumed by 192 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).
% 0.21/0.44    Following clause subsumed by 222 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).
% 0.21/0.44    Following clause subsumed by 224 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).
% 0.21/0.44    Following clause subsumed by 115 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).
% 0.21/0.44    Following clause subsumed by 264 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).
% 0.21/0.44    Following clause subsumed by 272 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).
% 0.21/0.44    Following clause subsumed by 272 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).
% 0.21/0.44    Following clause subsumed by 277 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).
% 0.21/0.44    Following clause subsumed by 277 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).
% 0.21/0.44    Following clause subsumed by 9 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).
% 0.21/0.44    Following clause subsumed by 10 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).
% 0.21/0.44    Following clause subsumed by 288 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).
% 0.21/0.44    Following clause subsumed by 291 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).
% 0.21/0.44    Following clause subsumed by 292 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).
% 0.21/0.44    Following clause subsumed by 119 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).
% 0.21/0.44    Following clause subsumed by 239 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).
% 0.21/0.44    Following clause subsumed by 338 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.
% 0.21/0.44    Following clause subsumed by 338 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.
% 0.21/0.44    Following clause subsumed by 338 during input processing: 0 [] {-} -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(B,A),A)=B.
% 0.21/0.44    Following clause subsumed by 350 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).
% 0.21/0.44    Following clause subsumed by 349 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).
% 0.21/0.45    Following clause subsumed by 370 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).
% 0.21/0.45    Following clause subsumed by 372 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).
% 0.21/0.45    Following clause subsumed by 395 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.
% 0.21/0.45    Following clause subsumed by 404 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).
% 0.21/0.45    Following clause subsumed by 432 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)).
% 0.21/0.45    Following clause subsumed by 434 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).
% 0.21/0.45    Following clause subsumed by 387 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).
% 0.21/0.45    Following clause subsumed by 465 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).
% 0.21/0.45    Following clause subsumed by 466 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).
% 0.21/0.45    Following clause subsumed by 358 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).
% 0.21/0.45    Following clause subsumed by 344 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).
% 0.21/0.45    Following clause subsumed by 475 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).
% 0.21/0.45    Following clause subsumed by 471 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).
% 0.21/0.45    Following clause subsumed by 482 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).
% 0.21/0.45    Following clause subsumed by 487 during input processing: 0 [] {-} -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ominus__class_Ominus(B,B,A)=c_HOL_Ozero__class_Ozero(A).
% 0.21/0.45    Following clause subsumed by 344 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).
% 0.21/0.45    Following clause subsumed by 344 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).
% 0.21/0.46    Following clause subsumed by 512 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.
% 0.21/0.46    Following clause subsumed by 151 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)).
% 0.21/0.46    Following clause subsumed by 532 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)).
% 0.21/0.46  551 back subsumes 516.
% 0.21/0.46  
% 0.21/0.46  ------------> process sos:
% 0.21/0.46    Following clause subsumed by 716 during input processing: 0 [copy,716,flip.1] {-} A=A.
% 0.21/0.46  716 back subsumes 638.
% 0.21/0.46  716 back subsumes 637.
% 0.21/0.46  716 back subsumes 636.
% 0.21/0.46  716 back subsumes 631.
% 0.21/0.46  716 back subsumes 608.
% 0.21/0.46  716 back subsumes 607.
% 0.21/0.46  716 back subsumes 602.
% 0.21/0.46  
% 0.21/0.46  ======= end of input processing =======
% 0.47/0.70  
% 0.47/0.70  
% 0.47/0.70  Failed to model usable list: disabling FINDER
% 0.47/0.70  
% 0.47/0.70  
% 0.47/0.70  
% 0.47/0.70  -------------- Softie stats --------------
% 0.47/0.70  
% 0.47/0.70  UPDATE_STOP: 300
% 0.47/0.70  SFINDER_TIME_LIMIT: 2
% 0.47/0.70  SHORT_CLAUSE_CUTOFF: 4
% 0.47/0.70  number of clauses in intial UL: 559
% 0.47/0.70  number of clauses initially in problem: 634
% 0.47/0.70  percentage of clauses intially in UL: 88
% 0.47/0.70  percentage of distinct symbols occuring in initial UL: 96
% 0.47/0.70  percent of all initial clauses that are short: 99
% 0.47/0.70  absolute distinct symbol count: 95
% 0.47/0.70     distinct predicate count: 59
% 0.47/0.70     distinct function count: 31
% 0.47/0.70     distinct constant count: 5
% 0.47/0.70  
% 0.47/0.70  ---------- no more Softie stats ----------
% 0.47/0.70  
% 0.47/0.70  
% 0.47/0.70  
% 0.47/0.70  =========== start of search ===========
% 0.91/1.15  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).
% 0.91/1.15  
% 0.91/1.15  ------------- memory usage ------------
% 0.91/1.15  294 mallocs of 32700 bytes each, 9388.5 K.
% 0.91/1.15    type (bytes each)        gets      frees     in use      avail      bytes
% 0.91/1.15  sym_ent ( 304)              238          0        238          0     70.7 K
% 0.91/1.15  term (  32)              177679     140380      37299         25   1166.4 K
% 0.91/1.15  rel (  40)               144662      88331      56331         26   2201.4 K
% 0.91/1.15  term_ptr (  16)          201116       2211     198905         28   3108.3 K
% 0.91/1.15  formula_ptr_2 (  56)          0          0          0          0      0.0 K
% 0.91/1.15  fpa_head (  24)           14173         46      14127          0    331.1 K
% 0.91/1.15  fpa_tree (  56)           13836      13836          0         24      1.3 K
% 0.91/1.15  context (1288)            30819      30819          0          6      7.5 K
% 0.91/1.15  trail (  24)             675519     675519          0          6      0.1 K
% 0.91/1.15  imd_tree (  32)             518         18        500          7     15.8 K
% 0.91/1.15  imd_pos (4024)             7587       7587          0          4     15.7 K
% 0.91/1.15  is_tree (  24)            18126        148      17978         14    421.7 K
% 0.91/1.15  is_pos (2424)            291224     291224          0         19     45.0 K
% 0.91/1.15  fsub_pos (  16)           25374      25374          0          1      0.0 K
% 0.91/1.15  literal (  32)            20561       2025      18536          1    579.3 K
% 0.91/1.15  clause (  88)              6134        533       5601          1    481.4 K
% 0.91/1.15  list ( 272)                  10          3          7          1      2.1 K
% 0.91/1.15  clash_nd (  80)             107        107          0          4      0.3 K
% 0.91/1.15  clause_ptr (  16)          5309        235       5074          3     79.3 K
% 0.91/1.15  int_ptr (  16)            41935       1437      40498          5    632.9 K
% 0.91/1.15  ci_ptr (  24)                 0          0          0          0      0.0 K
% 0.91/1.15  link_node ( 120)              0          0          0          0      0.0 K
% 0.91/1.15  ans_lit_node(  24)            0          0          0          0      0.0 K
% 0.91/1.15  formula_box( 168)             0          0          0          0      0.0 K
% 0.91/1.15  formula(  40)                 0          0          0          0      0.0 K
% 0.91/1.15  formula_ptr(  16)             0          0          0          0      0.0 K
% 0.91/1.15  cl_attribute(  24)            0          0          0          0      0.0 K
% 0.91/1.15  
% 0.91/1.15  ********** is_delete, can't find end.
% 0.91/1.15   time         0.00
% 0.91/1.15    print_cl time        0.00
% 0.91/1.15    conflict time        0.00
% 0.91/1.15    new demod time       0.00
% 0.91/1.15  post_process time      0.00
% 0.91/1.15    back demod time      0.00
% 0.91/1.15    back subsume         0.00
% 0.91/1.15    factor time          0.00
% 0.91/1.15  FINDER time            0.00
% 0.91/1.15    unindex time         0.00
% 0.91/1.15  
% 0.91/1.15  Forward subsumption counts, subsumer:number_subsumed.
% 0.91/1.15   1:0     2:0     3:0     4:0     5:0     6:0     7:0     8:0     9:1    10:1   
% 0.91/1.15  11:0    12:0    13:0    14:1    15:0    16:0    17:0    18:0    19:0    20:0   
% 0.91/1.15  21:0    22:0    23:0    24:0    25:0    26:0    27:0    28:3    29:1    30:1   
% 0.91/1.15  31:1    32:1    33:0    34:0    35:0    36:0    37:1    38:0    39:0    40:1   
% 0.91/1.15  41:0    42:0    43:0    44:0    45:0    46:0    47:0    48:0    49:0    50:0   
% 0.91/1.15  51:0    52:0    53:0    54:0    55:0    56:0    57:0    58:0    59:0    60:0   
% 0.91/1.15  61:0    62:0    63:0    64:1    65:0    66:0    67:0    68:0    69:0    70:0   
% 0.91/1.15  71:0    72:0    73:0    74:0    75:0    76:0    77:0    78:0    79:0    80:0   
% 0.91/1.15  81:0    82:0    83:0    84:0    85:0    86:0    87:0    88:3    89:0    90:0   
% 0.91/1.15  91:0    92:0    93:0    94:0    95:0    96:0    97:0    98:0    99:0    
% 0.91/1.15  All others: 224.
% 0.91/1.15  
% 0.91/1.15  ********** ABNORMAL END **********
% 0.91/1.15  
% 0.91/1.15  ********** is_delete, can't find end.
%------------------------------------------------------------------------------