TSTP Solution File: LCL753-1 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : LCL753-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n006.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 : Sun Jul 17 14:32:39 EDT 2022

% Result   : Unknown 0.69s 0.87s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : LCL753-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.13  % Command  : sos-script %s
% 0.12/0.33  % Computer : n006.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 : Mon Jul  4 13:21:22 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 sandbox on n006.cluster.edu,
% 0.19/0.43  Mon Jul  4 13:21:22 2022
% 0.19/0.43  The command was "./sos".  The process ID is 10718.
% 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 3 during input processing: 0 [flip.1] {-} c_HOL_Oplus__class_Oplus(A,B,tc_nat)!=A|B=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.19/0.43    Following clause subsumed by 9 during input processing: 0 [] {-} -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ominus__class_Ominus(B,B,A)=c_HOL_Ozero__class_Ozero(A).
% 0.19/0.43    Following clause subsumed by 25 during input processing: 0 [] {-} c_Suc(A)!=c_Suc(B)|A=B.
% 0.19/0.43    Following clause subsumed by 35 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).
% 0.19/0.43    Following clause subsumed by 54 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.
% 0.19/0.43    Following clause subsumed by 58 during input processing: 0 [] {-} A=B| -c_HOL_Oord__class_Oless(A,c_Suc(B),tc_nat)|c_HOL_Oord__class_Oless(A,B,tc_nat).
% 0.19/0.43    Following clause subsumed by 70 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).
% 0.19/0.43    Following clause subsumed by 84 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).
% 0.19/0.43    Following clause subsumed by 98 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(A,c_HOL_Oplus__class_Oplus(B,C,tc_nat),tc_nat)| -c_HOL_Oord__class_Oless(A,C,tc_nat).
% 0.19/0.43    Following clause subsumed by 99 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(A,c_HOL_Oplus__class_Oplus(B,C,tc_nat),tc_nat)| -c_HOL_Oord__class_Oless(A,B,tc_nat).
% 0.19/0.43    Following clause subsumed by 101 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(A,B,tc_nat)| -c_lessequals(c_Suc(A),B,tc_nat).
% 0.19/0.43    Following clause subsumed by 102 during input processing: 0 [] {-} c_lessequals(c_Suc(A),B,tc_nat)| -c_HOL_Oord__class_Oless(A,B,tc_nat).
% 0.19/0.43    Following clause subsumed by 111 during input processing: 0 [flip.1] {-} c_Suc(A)!=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.19/0.43    Following clause subsumed by 109 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).
% 0.19/0.43    Following clause subsumed by 120 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 132 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 142 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|c_Power_Opower__class_Opower(B,c_Suc(C),A)=c_HOL_Otimes__class_Otimes(B,c_Power_Opower__class_Opower(B,C,A),A).
% 0.19/0.43    Following clause subsumed by 145 during input processing: 0 [] {-} -c_lessequals(A,A,tc_nat)|c_HOL_Oord__class_Oless(A,c_Suc(A),tc_nat).
% 0.19/0.43    Following clause subsumed by 147 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).
% 0.19/0.43    Following clause subsumed by 169 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(B,A),c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A).
% 0.19/0.43    Following clause subsumed by 174 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C| -c_lessequals(C,B,A)| -c_lessequals(B,C,A).
% 0.19/0.43    Following clause subsumed by 174 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C| -c_lessequals(B,C,A)| -c_lessequals(C,B,A).
% 0.19/0.43    Following clause subsumed by 180 during input processing: 0 [] {-} c_lessequals(A,B,tc_nat)| -c_HOL_Oord__class_Oless(A,B,tc_nat).
% 0.19/0.43    Following clause subsumed by 111 during input processing: 0 [] {-} c_Suc(A)!=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.19/0.43    Following clause subsumed by 111 during input processing: 0 [] {-} c_Suc(A)!=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.19/0.43    Following clause subsumed by 199 during input processing: 0 [] {-} c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(A,B,tc_nat),B,tc_nat)=A| -c_lessequals(B,A,tc_nat).
% 0.19/0.43    Following clause subsumed by 63 during input processing: 0 [] {-} c_HOL_Oplus__class_Oplus(A,c_HOL_Ominus__class_Ominus(B,C,tc_nat),tc_nat)=c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(A,B,tc_nat),C,tc_nat)| -c_lessequals(C,B,tc_nat).
% 0.19/0.43    Following clause subsumed by 65 during input processing: 0 [] {-} c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(A,B,tc_nat),C,tc_nat)=c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(A,C,tc_nat),B,tc_nat)| -c_lessequals(B,A,tc_nat).
% 0.19/0.43    Following clause subsumed by 208 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).
% 0.19/0.43    Following clause subsumed by 142 during input processing: 0 [flip.2] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|c_Power_Opower__class_Opower(B,c_Suc(C),A)=c_HOL_Otimes__class_Otimes(B,c_Power_Opower__class_Opower(B,C,A),A).
% 0.19/0.43    Following clause subsumed by 224 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__semiring__strict(A)|c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),C,A)| -c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A).
% 0.19/0.43    Following clause subsumed by 238 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).
% 0.19/0.43    Following clause subsumed by 238 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).
% 0.19/0.43    Following clause subsumed by 247 during input processing: 0 [] {-} -c_HOL_Oord__class_Oless(A,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat).
% 0.19/0.43    Following clause subsumed by 250 during input processing: 0 [] {-} c_lessequals(A,c_HOL_Oplus__class_Oplus(B,C,tc_nat),tc_nat)| -c_lessequals(A,C,tc_nat).
% 0.19/0.43    Following clause subsumed by 251 during input processing: 0 [] {-} c_lessequals(A,c_HOL_Oplus__class_Oplus(B,C,tc_nat),tc_nat)| -c_lessequals(A,B,tc_nat).
% 0.19/0.43    Following clause subsumed by 261 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,B,A)|c_lessequals(B,B,A).
% 0.19/0.43    Following clause subsumed by 261 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_lessequals(B,C,A)|c_HOL_Oord__class_Oless(C,B,A).
% 0.19/0.43    Following clause subsumed by 263 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -c_lessequals(B,C,A)| -c_HOL_Oord__class_Oless(C,B,A).
% 0.19/0.43    Following clause subsumed by 261 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,C,A)|c_lessequals(C,B,A).
% 0.19/0.43    Following clause subsumed by 272 during input processing: 0 [] {-} c_lessequals(c_HOL_Ominus__class_Ominus(A,B,tc_nat),c_HOL_Ominus__class_Ominus(C,B,tc_nat),tc_nat)| -c_lessequals(A,C,tc_nat)| -c_lessequals(B,C,tc_nat)| -c_lessequals(B,A,tc_nat).
% 0.19/0.43    Following clause subsumed by 52 during input processing: 0 [] {-} -class_Ring__and__Field_Ozero__neq__one(A)|c_HOL_Ozero__class_Ozero(A)!=c_HOL_Oone__class_Oone(A).
% 0.19/0.43    Following clause subsumed by 307 during input processing: 0 [] {-} -class_Ring__and__Field_Opordered__cancel__semiring(A)|c_lessequals(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Ozero__class_Ozero(A),A)| -c_lessequals(C,c_HOL_Ozero__class_Ozero(A),A)| -c_lessequals(c_HOL_Ozero__class_Ozero(A),B,A).
% 0.19/0.43    Following clause subsumed by 308 during input processing: 0 [] {-} -class_Ring__and__Field_Opordered__cancel__semiring(A)|c_lessequals(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Ozero__class_Ozero(A),A)| -c_lessequals(c_HOL_Ozero__class_Ozero(A),C,A)| -c_lessequals(B,c_HOL_Ozero__class_Ozero(A),A).
% 0.19/0.43    Following clause subsumed by 308 during input processing: 0 [] {-} -class_Ring__and__Field_Opordered__cancel__semiring(A)|c_lessequals(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Ozero__class_Ozero(A),A)| -c_lessequals(B,c_HOL_Ozero__class_Ozero(A),A)| -c_lessequals(c_HOL_Ozero__class_Ozero(A),C,A).
% 0.19/0.43    Following clause subsumed by 323 during input processing: 0 [flip.1] {-} c_Suc(A)!=A.
% 0.19/0.43    Following clause subsumed by 361 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).
% 0.19/0.43    Following clause subsumed by 266 during input processing: 0 [] {-} -class_Divides_Osemiring__div(A)|c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(B,C,A),D,A),C,A)=c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(B,D,A),C,A).
% 0.19/0.43    Following clause subsumed by 268 during input processing: 0 [] {-} -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).
% 0.19/0.43    Following clause subsumed by 371 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_lessequals(B,C,A)|C=B.
% 0.19/0.43    Following clause subsumed by 372 during input processing: 0 [] {-} A=B|c_HOL_Oord__class_Oless(A,B,tc_nat)| -c_lessequals(A,B,tc_nat).
% 0.19/0.43    Following clause subsumed by 372 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(A,B,tc_nat)|A=B| -c_lessequals(A,B,tc_nat).
% 0.19/0.43    Following clause subsumed by 373 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)|B=C| -c_lessequals(B,C,A).
% 0.19/0.43    Following clause subsumed by 373 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)|B=C| -c_lessequals(B,C,A).
% 0.19/0.43    Following clause subsumed by 373 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_lessequals(B,C,A)|B=C.
% 0.19/0.44    Following clause subsumed by 374 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|B=C|c_HOL_Oord__class_Oless(B,C,A)| -c_lessequals(B,C,A).
% 0.19/0.44    Following clause subsumed by 380 during input processing: 0 [] {-} -class_Ring__and__Field_Opordered__ring(A)|c_lessequals(c_HOL_Ozero__class_Ozero(A),c_HOL_Otimes__class_Otimes(B,C,A),A)| -c_lessequals(C,c_HOL_Ozero__class_Ozero(A),A)| -c_lessequals(B,c_HOL_Ozero__class_Ozero(A),A).
% 0.19/0.44    Following clause subsumed by 390 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).
% 0.19/0.44    Following clause subsumed by 390 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).
% 0.19/0.44    Following clause subsumed by 312 during input processing: 0 [] {-} c_HOL_Oplus__class_Oplus(A,B,tc_nat)!=c_HOL_Oplus__class_Oplus(A,C,tc_nat)|B=C.
% 0.19/0.44    Following clause subsumed by 115 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 434 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__ring__strict(A)|c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(B,D,A),A)| -c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(D,C,A).
% 0.19/0.44    Following clause subsumed by 436 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__ring__strict(A)|c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(B,D,A),A)| -c_HOL_Oord__class_Oless(C,D,A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),B,A).
% 0.19/0.44    Following clause subsumed by 434 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__ring__strict(A)|c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(B,D,A),A)| -c_HOL_Oord__class_Oless(D,C,A)| -c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A).
% 0.19/0.44    Following clause subsumed by 438 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__ring__strict(A)|c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(D,C,A),A)| -c_HOL_Oord__class_Oless(D,B,A)| -c_HOL_Oord__class_Oless(C,c_HOL_Ozero__class_Ozero(A),A).
% 0.19/0.44    Following clause subsumed by 392 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).
% 0.19/0.44    Following clause subsumed by 451 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__semidom(A)|c_lessequals(c_HOL_Ozero__class_Ozero(A),c_Nat_Osemiring__1__class_Oof__nat(B,A),A).
% 0.19/0.44    Following clause subsumed by 452 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.
% 0.19/0.44    Following clause subsumed by 467 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__semidom(A)|c_lessequals(B,C,tc_nat)| -c_lessequals(c_Power_Opower__class_Opower(D,B,A),c_Power_Opower__class_Opower(D,C,A),A)| -c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(A),D,A).
% 0.19/0.44    Following clause subsumed by 471 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(c_Suc(A),c_Suc(B),tc_nat)| -c_HOL_Oord__class_Oless(A,B,tc_nat).
% 0.19/0.44    Following clause subsumed by 98 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(A,B,tc_nat),tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),B,tc_nat).
% 0.19/0.45    Following clause subsumed by 99 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(A,B,tc_nat),tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),A,tc_nat).
% 0.19/0.45    Following clause subsumed by 500 during input processing: 0 [] {-} -c_HOL_Oord__class_Oless(A,A,tc_nat).
% 0.19/0.45    Following clause subsumed by 505 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,C,A)|c_HOL_Oord__class_Oless(C,B,A)|C=B.
% 0.19/0.45    Following clause subsumed by 505 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,C,A)|C=B|c_HOL_Oord__class_Oless(C,B,A).
% 0.19/0.45    Following clause subsumed by 505 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|B=C|c_HOL_Oord__class_Oless(B,C,A)|c_HOL_Oord__class_Oless(C,B,A).
% 0.19/0.45    Following clause subsumed by 506 during input processing: 0 [flip.1] {-} c_Suc(c_HOL_Ominus__class_Ominus(A,c_HOL_Oone__class_Oone(tc_nat),tc_nat))=A| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),A,tc_nat).
% 0.19/0.45    Following clause subsumed by 488 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(A,B,tc_nat),c_HOL_Ominus__class_Ominus(C,B,tc_nat),tc_nat)| -c_HOL_Oord__class_Oless(A,C,tc_nat)| -c_lessequals(B,C,tc_nat)| -c_lessequals(B,A,tc_nat).
% 0.19/0.45    Following clause subsumed by 519 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__semidom(A)|c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(B,C,A),c_Power_Opower__class_Opower(B,D,A),A)| -c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(A),B,A)| -c_HOL_Oord__class_Oless(C,D,tc_nat).
% 0.19/0.45    Following clause subsumed by 520 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__semidom(A)|c_HOL_Oord__class_Oless(B,C,tc_nat)| -c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(D,B,A),c_Power_Opower__class_Opower(D,C,A),A)| -c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(A),D,A).
% 0.19/0.45    Following clause subsumed by 531 during input processing: 0 [] {-} -class_Orderings_Opreorder(A)| -c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(C,B,A).
% 0.19/0.45    Following clause subsumed by 537 during input processing: 0 [] {-} c_Lambda_Osubst(c_Lambda_OdB_OVar(A),B,C)=c_Lambda_OdB_OVar(c_HOL_Ominus__class_Ominus(A,c_HOL_Oone__class_Oone(tc_nat),tc_nat))| -c_HOL_Oord__class_Oless(C,A,tc_nat).
% 0.19/0.45  211 back subsumes 131.
% 0.19/0.45  247 back subsumes 217.
% 0.19/0.45  263 back subsumes 262.
% 0.19/0.45  390 back subsumes 67.
% 0.19/0.45  391 back subsumes 68.
% 0.19/0.45  411 back subsumes 410.
% 0.19/0.45    Following clause subsumed by 542 during input processing: 0 [copy,532,flip.1] {-} c_Lambda_OdB_OVar(A)!=c_Lambda_OdB_OAbs(B).
% 0.19/0.45    Following clause subsumed by 535 during input processing: 0 [copy,533,flip.1] {-} c_Lambda_OdB_OAbs(A)!=c_Lambda_OdB_OApp(B,C).
% 0.19/0.45    Following clause subsumed by 533 during input processing: 0 [copy,535,flip.1] {-} c_Lambda_OdB_OApp(A,B)!=c_Lambda_OdB_OAbs(C).
% 0.19/0.45    Following clause subsumed by 546 during input processing: 0 [copy,539,flip.1] {-} c_Lambda_OdB_OApp(A,B)!=c_Lambda_OdB_OVar(C).
% 0.19/0.45    Following clause subsumed by 532 during input processing: 0 [copy,542,flip.1] {-} c_Lambda_OdB_OAbs(A)!=c_Lambda_OdB_OVar(B).
% 0.19/0.45    Following clause subsumed by 539 during input processing: 0 [copy,546,flip.1] {-} c_Lambda_OdB_OVar(A)!=c_Lambda_OdB_OApp(B,C).
% 0.19/0.45  604 back subsumes 563.
% 0.19/0.45  644 back subsumes 643.
% 0.19/0.45  
% 0.19/0.45  ------------> process sos:
% 0.19/0.45    Following clause subsumed by 676 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(A,c_Suc(c_HOL_Oplus__class_Oplus(A,B,tc_nat)),tc_nat).
% 0.19/0.45    Following clause subsumed by 672 during input processing: 0 [demod,687] {-} c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),A,tc_nat)=c_HOL_Oplus__class_Oplus(A,c_HOL_Oone__class_Oone(tc_nat),tc_nat).
% 0.19/0.45    Following clause subsumed by 700 during input processing: 0 [] {-} c_lessequals(A,c_HOL_Oplus__class_Oplus(A,B,tc_nat),tc_nat).
% 0.19/0.45    Following clause subsumed by 706 during input processing: 0 [demod,687] {-} c_HOL_Oord__class_Oless(A,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),A,tc_nat),tc_nat).
% 0.19/0.45    Following clause subsumed by 712 during input processing: 0 [demod,687,714,687] {-} c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(A,B,tc_nat),tc_nat)=c_HOL_Oplus__class_Oplus(A,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),B,tc_nat),tc_nat).
% 0.19/0.46    Following clause subsumed by 727 during input processing: 0 [demod,687] {-} c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),A,tc_nat),tc_nat).
% 0.19/0.46    Following clause subsumed by 729 during input processing: 0 [] {-} c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat).
% 0.19/0.46    Following clause subsumed by 735 during input processing: 0 [] {-} c_lessequals(A,A,tc_nat).
% 0.19/0.46    Following clause subsumed by 698 during input processing: 0 [demod,687,685,717,687,685] {-} c_HOL_Oone__class_Oone(tc_nat)=c_HOL_Oone__class_Oone(tc_nat).
% 0.19/0.46    Following clause subsumed by 735 during input processing: 0 [demod,687,687] {-} c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),A,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),A,tc_nat),tc_nat).
% 0.19/0.46    Following clause subsumed by 706 during input processing: 0 [demod,687,unit_del,500] {-} c_HOL_Oord__class_Oless(A,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),A,tc_nat),tc_nat).
% 0.19/0.46    Following clause subsumed by 755 during input processing: 0 [demod,687,762] {-} A=A.
% 0.19/0.46    Following clause subsumed by 776 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(A,B,tc_nat)|c_HOL_Oord__class_Oless(B,A,tc_nat)|B=A.
% 0.19/0.46    Following clause subsumed by 755 during input processing: 0 [demod,787,unit_del,500] {-} B=B.
% 0.19/0.46    Following clause subsumed by 755 during input processing: 0 [] {-} A=A.
% 0.19/0.46    Following clause subsumed by 672 during input processing: 0 [copy,672,flip.1] {-} c_HOL_Oplus__class_Oplus(A,B,tc_nat)=c_HOL_Oplus__class_Oplus(B,A,tc_nat).
% 0.19/0.46    Following clause subsumed by 712 during input processing: 0 [copy,682,flip.1,demod,687,714,687] {-} c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(A,B,tc_nat),tc_nat)=c_HOL_Oplus__class_Oplus(A,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),B,tc_nat),tc_nat).
% 0.19/0.46    Following clause subsumed by 755 during input processing: 0 [copy,698,flip.1] {-} c_HOL_Oone__class_Oone(tc_nat)=c_HOL_Oone__class_Oone(tc_nat).
% 0.19/0.46    Following clause subsumed by 712 during input processing: 0 [copy,712,flip.1] {-} c_HOL_Oplus__class_Oplus(A,c_HOL_Oplus__class_Oplus(B,C,tc_nat),tc_nat)=c_HOL_Oplus__class_Oplus(B,c_HOL_Oplus__class_Oplus(A,C,tc_nat),tc_nat).
% 0.19/0.46  735 back subsumes 587.
% 0.19/0.46    Following clause subsumed by 755 during input processing: 0 [copy,755,flip.1] {-} A=A.
% 0.19/0.46  755 back subsumes 698.
% 0.19/0.46  755 back subsumes 655.
% 0.19/0.46  755 back subsumes 654.
% 0.19/0.46  755 back subsumes 623.
% 0.19/0.46  755 back subsumes 609.
% 0.19/0.46  755 back subsumes 608.
% 0.19/0.46  755 back subsumes 607.
% 0.19/0.46  755 back subsumes 589.
% 0.19/0.46  755 back subsumes 571.
% 0.19/0.46  755 back subsumes 570.
% 0.19/0.46  755 back subsumes 569.
% 0.19/0.46    Following clause subsumed by 719 during input processing: 0 [copy,764,flip.1] {-} c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,c_HOL_Oone__class_Oone(tc_nat),tc_nat),B,tc_nat)=c_HOL_Ominus__class_Ominus(A,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),B,tc_nat),tc_nat).
% 0.19/0.46    Following clause subsumed by 768 during input processing: 0 [copy,768,flip.1] {-} c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,B,tc_nat),C,tc_nat)=c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,C,tc_nat),B,tc_nat).
% 0.19/0.46    Following clause subsumed by 661 during input processing: 0 [copy,827,flip.1] {-} c_HOL_Ominus__class_Ominus(A,A,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.19/0.46    Following clause subsumed by 845 during input processing: 0 [copy,828,flip.1] {-} c_Lambda_Oliftn(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),A,tc_nat),B,C)=c_Lambda_Olift(c_Lambda_Oliftn(A,B,C),C).
% 0.19/0.46    Following clause subsumed by 828 during input processing: 0 [copy,845,flip.1] {-} c_Lambda_Olift(c_Lambda_Oliftn(A,B,C),C)=c_Lambda_Oliftn(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),A,tc_nat),B,C).
% 0.19/0.46    Following clause subsumed by 690 during input processing: 0 [copy,878,flip.1] {-} c_Lambda_Osubstn(A,B,C)=c_Lambda_Osubst(A,c_Lambda_Oliftn(C,B,c_HOL_Ozero__class_Ozero(tc_nat)),C).
% 0.19/0.46    Following clause subsumed by 694 during input processing: 0 [copy,879,flip.1] {-} c_Divides_Odiv__class_Omod(A,c_HOL_Oone__class_Oone(tc_nat),tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.19/0.46    Following clause subsumed by 718 during input processing: 0 [copy,880,flip.1] {-} c_HOL_Ominus__class_Ominus(A,c_HOL_Oplus__class_Oplus(A,B,tc_nat),tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.19/0.46    Following clause subsumed by 719 during input processing: 0 [copy,881,flip.1] {-} c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,B,tc_nat),C,tc_nat)=c_HOL_Ominus__class_Ominus(A,c_HOL_Oplus__class_Oplus(B,C,tc_nat),tc_nat).
% 0.19/0.46  881 back subsumes 764.
% 0.19/0.46    Following clause subsumed by 873 during input processing: 0 [copy,882,flip.1] {-} c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),A,tc_nat)!=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.19/0.46  
% 0.19/0.46  ======= end of input processing =======
% 0.50/0.68  
% 0.50/0.68  
% 0.50/0.68  Failed to model usable list: disabling FINDER
% 0.50/0.68  
% 0.50/0.68  
% 0.50/0.68  
% 0.50/0.68  -------------- Softie stats --------------
% 0.50/0.68  
% 0.50/0.68  UPDATE_STOP: 300
% 0.50/0.68  SFINDER_TIME_LIMIT: 2
% 0.50/0.68  SHORT_CLAUSE_CUTOFF: 4
% 0.50/0.68  number of clauses in intial UL: 552
% 0.50/0.68  number of clauses initially in problem: 727
% 0.50/0.68  percentage of clauses intially in UL: 75
% 0.50/0.68  percentage of distinct symbols occuring in initial UL: 98
% 0.50/0.68  percent of all initial clauses that are short: 99
% 0.50/0.68  absolute distinct symbol count: 82
% 0.50/0.68     distinct predicate count: 58
% 0.50/0.68     distinct function count: 20
% 0.50/0.68     distinct constant count: 4
% 0.50/0.68  
% 0.50/0.68  ---------- no more Softie stats ----------
% 0.50/0.68  
% 0.50/0.68  
% 0.50/0.68  
% 0.50/0.68  =========== start of search ===========
% 0.69/0.86  class_Ring__and__Field_Ofield(tc_nat).
% 0.69/0.86  
% 0.69/0.86  ------------- memory usage ------------
% 0.69/0.86  192 mallocs of 32700 bytes each, 6131.2 K.
% 0.69/0.86    type (bytes each)        gets      frees     in use      avail      bytes
% 0.69/0.86  sym_ent ( 304)              224          0        224          0     66.5 K
% 0.69/0.86  term (  32)              161816     136133      25683         54    804.3 K
% 0.69/0.86  rel (  40)               129678      90966      38712         41   1513.8 K
% 0.69/0.86  term_ptr (  16)          124405       6055     118350          0   1849.2 K
% 0.69/0.86  formula_ptr_2 (  56)          0          0          0          0      0.0 K
% 0.69/0.87  fpa_head (  24)            7403        489       6914          8    162.2 K
% 0.69/0.87  fpa_tree (  56)           10972      10972          0         40      2.2 K
% 0.69/0.87  context (1288)            25541      25541          0          6      7.5 K
% 0.69/0.87  trail (  24)             250558     250558          0          8      0.2 K
% 0.69/0.87  imd_tree (  32)             303         28        275          0      8.6 K
% 0.69/0.87  imd_pos (4024)             6345       6345          0          4     15.7 K
% 0.69/0.87  is_tree (  24)            14744        929      13815          4    323.9 K
% 0.69/0.87  is_pos (2424)            354046     354046          0         17     40.2 K
% 0.69/0.87  fsub_pos (  16)           18975      18975          0          1      0.0 K
% 0.69/0.87  literal (  32)            17918       5235      12683          0    396.3 K
% 0.69/0.87  clause (  88)              5694       1665       4029          0    346.2 K
% 0.69/0.87  list ( 272)                  10          3          7          1      2.1 K
% 0.69/0.87  clash_nd (  80)             568        568          0          4      0.3 K
% 0.69/0.87  clause_ptr (  16)          3684        209       3475          2     54.3 K
% 0.69/0.87  int_ptr (  16)            32146       6555      25591          0    399.9 K
% 0.69/0.87  ci_ptr (  24)                 0          0          0          0      0.0 K
% 0.69/0.87  link_node ( 120)              0          0          0          0      0.0 K
% 0.69/0.87  ans_lit_node(  24)            0          0          0          0      0.0 K
% 0.69/0.87  formula_box( 168)             0          0          0          0      0.0 K
% 0.69/0.87  formula(  40)                 0          0          0          0      0.0 K
% 0.69/0.87  formula_ptr(  16)             0          0          0          0      0.0 K
% 0.69/0.87  cl_attribute(  24)            0          0          0          0      0.0 K
% 0.69/0.87  
% 0.69/0.87  ********** is_delete, can't find term.
% 0.69/0.87  00
% 0.69/0.87    factor time          0.00
% 0.69/0.87  FINDER time            0.00
% 0.69/0.87    unindex time         0.00
% 0.69/0.87  
% 0.69/0.87  Forward subsumption counts, subsumer:number_subsumed.
% 0.69/0.87   1:0     2:0     3:1     4:0     5:0     6:0     7:0     8:0     9:1    10:0   
% 0.69/0.87  11:0    12:0    13:0    14:0    15:0    16:0    17:0    18:0    19:0    20:0   
% 0.69/0.87  21:0    22:2    23:3    24:1    25:1    26:0    27:0    28:0    29:0    30:0   
% 0.69/0.87  31:0    32:0    33:0    34:0    35:1    36:0    37:0    38:0    39:0    40:0   
% 0.69/0.87  41:0    42:0    43:0    44:0    45:0    46:0    47:0    48:0    49:0    50:0   
% 0.69/0.87  51:0    52:1    53:1    54:1    55:0    56:0    57:0    58:1    59:0    60:1   
% 0.69/0.87  61:0    62:0    63:2    64:0    65:1    66:0    67:0    68:0    69:0    70:1   
% 0.69/0.87  71:0    72:0    73:0    74:0    75:0    76:0    77:0    78:0    79:0    80:0   
% 0.69/0.87  81:0    82:0    83:0    84:1    85:0    86:0    87:0    88:0    89:0    90:1   
% 0.69/0.87  91:0    92:0    93:0    94:0    95:0    96:0    97:0    98:6    99:9    
% 0.69/0.87  All others: 837.
% 0.69/0.87  
% 0.69/0.87  ********** ABNORMAL END **********
% 0.69/0.87  
% 0.69/0.87  ********** is_delete, can't find term.
%------------------------------------------------------------------------------