TSTP Solution File: LCL773-1 by SOS---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : LCL773-1 : 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 : Sun Jul 17 14:32:49 EDT 2022
% Result : Unknown 0.58s 0.77s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL773-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13 % Command : sos-script %s
% 0.13/0.34 % Computer : n021.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 : Sat Jul 2 19:29:00 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.47 ----- Otter 3.2, August 2001 -----
% 0.19/0.47 The process was started by sandbox on n021.cluster.edu,
% 0.19/0.47 Sat Jul 2 19:29:00 2022
% 0.19/0.47 The command was "./sos". The process ID is 6967.
% 0.19/0.47
% 0.19/0.47 set(prolog_style_variables).
% 0.19/0.47 set(auto).
% 0.19/0.47 dependent: set(auto1).
% 0.19/0.47 dependent: set(process_input).
% 0.19/0.47 dependent: clear(print_kept).
% 0.19/0.47 dependent: clear(print_new_demod).
% 0.19/0.47 dependent: clear(print_back_demod).
% 0.19/0.47 dependent: clear(print_back_sub).
% 0.19/0.47 dependent: set(control_memory).
% 0.19/0.47 dependent: assign(max_mem, 12000).
% 0.19/0.47 dependent: assign(pick_given_ratio, 4).
% 0.19/0.47 dependent: assign(stats_level, 1).
% 0.19/0.47 dependent: assign(pick_semantic_ratio, 3).
% 0.19/0.47 dependent: assign(sos_limit, 5000).
% 0.19/0.47 dependent: assign(max_weight, 60).
% 0.19/0.47 clear(print_given).
% 0.19/0.47
% 0.19/0.47 list(usable).
% 0.19/0.47
% 0.19/0.47 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=6.
% 0.19/0.47
% 0.19/0.47 This ia a non-Horn set with equality. The strategy will be
% 0.19/0.47 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.19/0.47 unit deletion, with positive clauses in sos and nonpositive
% 0.19/0.47 clauses in usable.
% 0.19/0.47
% 0.19/0.47 dependent: set(knuth_bendix).
% 0.19/0.47 dependent: set(para_from).
% 0.19/0.47 dependent: set(para_into).
% 0.19/0.47 dependent: clear(para_from_right).
% 0.19/0.47 dependent: clear(para_into_right).
% 0.19/0.47 dependent: set(para_from_vars).
% 0.19/0.47 dependent: set(eq_units_both_ways).
% 0.19/0.47 dependent: set(dynamic_demod_all).
% 0.19/0.47 dependent: set(dynamic_demod).
% 0.19/0.47 dependent: set(order_eq).
% 0.19/0.47 dependent: set(back_demod).
% 0.19/0.47 dependent: set(lrpo).
% 0.19/0.47 dependent: set(hyper_res).
% 0.19/0.47 dependent: set(unit_deletion).
% 0.19/0.47 dependent: set(factor).
% 0.19/0.47
% 0.19/0.47 ------------> process usable:
% 0.19/0.47 Following clause subsumed by 16 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_lessequals(B,c_Orderings_Oord__class_Omin(C,D,A),A)| -c_lessequals(B,D,A)| -c_lessequals(B,C,A).
% 0.19/0.47 Following clause subsumed by 16 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_lessequals(B,c_Orderings_Oord__class_Omin(C,D,A),A)| -c_lessequals(B,D,A)| -c_lessequals(B,C,A).
% 0.19/0.47 Following clause subsumed by 2 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).
% 0.19/0.47 Following clause subsumed by 33 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.
% 0.19/0.47 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(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).
% 0.19/0.47 Following clause subsumed by 64 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_lessequals(c_Orderings_Oord__class_Omax(B,C,A),D,A)| -c_lessequals(C,D,A)| -c_lessequals(B,D,A).
% 0.19/0.47 Following clause subsumed by 64 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_lessequals(c_Orderings_Oord__class_Omax(B,C,A),D,A)| -c_lessequals(C,D,A)| -c_lessequals(B,D,A).
% 0.19/0.47 Following clause subsumed by 74 during input processing: 0 [] {-} c_lessequals(c_Suc(A),B,tc_nat)| -c_HOL_Oord__class_Oless(A,B,tc_nat).
% 0.19/0.47 Following clause subsumed by 75 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(A,B,tc_nat)| -c_lessequals(c_Suc(A),B,tc_nat).
% 0.19/0.47 Following clause subsumed by 76 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).
% 0.19/0.47 Following clause subsumed by 77 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).
% 0.19/0.47 Following clause subsumed by 92 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).
% 0.19/0.48 Following clause subsumed by 129 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_lessequals(c_Orderings_Oord__class_Omin(B,C,A),D,A)| -c_lessequals(C,D,A).
% 0.19/0.48 Following clause subsumed by 130 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_lessequals(c_Orderings_Oord__class_Omin(B,C,A),D,A)| -c_lessequals(B,D,A).
% 0.19/0.48 Following clause subsumed by 127 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_lessequals(B,C,A)| -c_lessequals(B,c_Orderings_Oord__class_Omin(D,C,A),A).
% 0.19/0.48 Following clause subsumed by 128 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_lessequals(B,C,A)| -c_lessequals(B,c_Orderings_Oord__class_Omin(C,D,A),A).
% 0.19/0.48 Following clause subsumed by 156 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).
% 0.19/0.48 Following clause subsumed by 159 during input processing: 0 [] {-} -c_lessequals(A,A,tc_nat)|c_HOL_Oord__class_Oless(A,c_Suc(A),tc_nat).
% 0.19/0.48 Following clause subsumed by 161 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).
% 0.19/0.48 Following clause subsumed by 177 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).
% 0.19/0.48 Following clause subsumed by 177 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).
% 0.19/0.48 Following clause subsumed by 189 during input processing: 0 [] {-} c_lessequals(A,c_HOL_Oplus__class_Oplus(B,C,tc_nat),tc_nat)| -c_lessequals(A,C,tc_nat).
% 0.19/0.48 Following clause subsumed by 190 during input processing: 0 [] {-} c_lessequals(A,c_HOL_Oplus__class_Oplus(B,C,tc_nat),tc_nat)| -c_lessequals(A,B,tc_nat).
% 0.19/0.48 Following clause subsumed by 200 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,B,A)|c_lessequals(B,B,A).
% 0.19/0.48 Following clause subsumed by 200 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_lessequals(B,C,A)|c_HOL_Oord__class_Oless(C,B,A).
% 0.19/0.48 Following clause subsumed by 202 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -c_lessequals(B,C,A)| -c_HOL_Oord__class_Oless(C,B,A).
% 0.19/0.48 Following clause subsumed by 200 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,C,A)|c_lessequals(C,B,A).
% 0.19/0.48 Following clause subsumed by 207 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)|B=c_HOL_Ozero__class_Ozero(A)|c_HOL_Oinverse__class_Odivide(B,B,A)=c_HOL_Oone__class_Oone(A).
% 0.19/0.48 Following clause subsumed by 217 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).
% 0.19/0.48 Following clause subsumed by 227 during input processing: 0 [] {-} c_Suc(A)!=c_Suc(B)|A=B.
% 0.19/0.48 Following clause subsumed by 126 during input processing: 0 [] {-} -c_lessequals(A,B,tc_nat)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(A,C,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(B,A,tc_nat),C,tc_nat),D,tc_nat),tc_nat)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,C,tc_nat),D,tc_nat).
% 0.19/0.48 Following clause subsumed by 253 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_lessequals(B,c_Orderings_Oord__class_Omax(C,D,A),A)| -c_lessequals(B,D,A).
% 0.19/0.48 Following clause subsumed by 254 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_lessequals(B,c_Orderings_Oord__class_Omax(C,D,A),A)| -c_lessequals(B,C,A).
% 0.19/0.48 Following clause subsumed by 251 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_lessequals(B,C,A)| -c_lessequals(c_Orderings_Oord__class_Omax(D,B,A),C,A).
% 0.19/0.48 Following clause subsumed by 252 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_lessequals(B,C,A)| -c_lessequals(c_Orderings_Oord__class_Omax(B,D,A),C,A).
% 0.19/0.48 Following clause subsumed by 273 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.
% 0.19/0.48 Following clause subsumed by 274 during input processing: 0 [] {-} c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(A,B,tc_nat),c_HOL_Otimes__class_Otimes(C,D,tc_nat),tc_nat)!=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(A,D,tc_nat),c_HOL_Otimes__class_Otimes(C,B,tc_nat),tc_nat)|B=D|A=C.
% 0.19/0.48 Following clause subsumed by 282 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).
% 0.19/0.48 Following clause subsumed by 294 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).
% 0.19/0.48 Following clause subsumed by 307 during input processing: 0 [] {-} -c_HOL_Oord__class_Oless(A,A,tc_nat).
% 0.19/0.48 Following clause subsumed by 321 during input processing: 0 [] {-} c_lessequals(A,B,tc_nat)| -c_lessequals(c_HOL_Otimes__class_Otimes(C,A,tc_nat),c_HOL_Otimes__class_Otimes(C,B,tc_nat),tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),C,tc_nat).
% 0.19/0.48 Following clause subsumed by 336 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,c_Orderings_Oord__class_Omax(C,D,A),A)| -c_HOL_Oord__class_Oless(B,C,A).
% 0.19/0.48 Following clause subsumed by 337 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,c_Orderings_Oord__class_Omax(C,D,A),A)| -c_HOL_Oord__class_Oless(B,D,A).
% 0.19/0.48 Following clause subsumed by 344 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).
% 0.19/0.48 Following clause subsumed by 354 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(B,C,A),D,A)| -c_HOL_Oord__class_Oless(B,D,A).
% 0.19/0.48 Following clause subsumed by 355 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(B,C,A),D,A)| -c_HOL_Oord__class_Oless(C,D,A).
% 0.19/0.48 Following clause subsumed by 368 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).
% 0.19/0.48 Following clause subsumed by 369 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).
% 0.19/0.48 Following clause subsumed by 369 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).
% 0.19/0.48 Following clause subsumed by 375 during input processing: 0 [] {-} c_HOL_Oplus__class_Oplus(A,B,tc_nat)!=c_HOL_Oplus__class_Oplus(A,C,tc_nat)|B=C.
% 0.19/0.48 Following clause subsumed by 314 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.
% 0.19/0.48 Following clause subsumed by 314 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).
% 0.19/0.48 Following clause subsumed by 314 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).
% 0.19/0.48 Following clause subsumed by 400 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).
% 0.19/0.48 Following clause subsumed by 404 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.
% 0.19/0.48 Following clause subsumed by 406 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C| -c_lessequals(C,B,A)| -c_lessequals(B,C,A).
% 0.19/0.48 Following clause subsumed by 406 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C| -c_lessequals(B,C,A)| -c_lessequals(C,B,A).
% 0.19/0.48 Following clause subsumed by 404 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).
% 0.19/0.48 Following clause subsumed by 404 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).
% 0.19/0.48 Following clause subsumed by 412 during input processing: 0 [] {-} c_lessequals(A,B,tc_nat)| -c_HOL_Oord__class_Oless(A,B,tc_nat).
% 0.19/0.48 Following clause subsumed by 448 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).
% 0.19/0.48 Following clause subsumed by 286 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).
% 0.19/0.48 Following clause subsumed by 288 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).
% 0.19/0.48 Following clause subsumed by 156 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).
% 0.19/0.48 Following clause subsumed by 486 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).
% 0.19/0.48 Following clause subsumed by 517 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_Ozero__class_Ozero(A),c_HOL_Oinverse__class_Odivide(B,C,A),A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),C,A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),B,A).
% 0.19/0.48 Following clause subsumed by 518 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_Ozero__class_Ozero(A),c_HOL_Oinverse__class_Odivide(B,C,A),A)| -c_HOL_Oord__class_Oless(C,c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A).
% 0.19/0.48 Following clause subsumed by 532 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(A,B,tc_nat),c_HOL_Otimes__class_Otimes(A,C,tc_nat),tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),A,tc_nat)| -c_HOL_Oord__class_Oless(B,C,tc_nat).
% 0.19/0.48 Following clause subsumed by 531 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(A,B,tc_nat),c_HOL_Otimes__class_Otimes(C,B,tc_nat),tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),B,tc_nat)| -c_HOL_Oord__class_Oless(A,C,tc_nat).
% 0.19/0.48 Following clause subsumed by 450 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(A,B,tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(C,A,tc_nat),c_HOL_Otimes__class_Otimes(C,B,tc_nat),tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),C,tc_nat).
% 0.19/0.48 Following clause subsumed by 532 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(A,B,tc_nat),c_HOL_Otimes__class_Otimes(A,C,tc_nat),tc_nat)| -c_HOL_Oord__class_Oless(B,C,tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),A,tc_nat).
% 0.19/0.48 Following clause subsumed by 534 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).
% 0.19/0.48 Following clause subsumed by 536 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).
% 0.19/0.48 Following clause subsumed by 534 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).
% 0.19/0.48 Following clause subsumed by 538 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).
% 0.19/0.48 Following clause subsumed by 564 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).
% 0.19/0.48 Following clause subsumed by 365 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).
% 0.19/0.48 Following clause subsumed by 586 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).
% 0.19/0.48 Following clause subsumed by 587 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).
% 0.19/0.48 Following clause subsumed by 611 during input processing: 0 [flip.1] {-} c_Suc(A)!=A.
% 0.19/0.48 Following clause subsumed by 614 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_Odivide(B,C,A),D,A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),C,A)| -c_HOL_Oord__class_Oless(B,c_HOL_Otimes__class_Otimes(D,C,A),A).
% 0.19/0.48 Following clause subsumed by 613 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oord__class_Oless(B,c_HOL_Oinverse__class_Odivide(C,D,A),A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),D,A)| -c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(B,D,A),C,A).
% 0.19/0.48 Following clause subsumed by 618 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_Odivide(B,C,A),c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(C,c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),B,A).
% 0.19/0.49 Following clause subsumed by 617 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_Odivide(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).
% 0.19/0.49 Following clause subsumed by 661 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).
% 0.19/0.49 Following clause subsumed by 9 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).
% 0.19/0.49 Following clause subsumed by 677 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).
% 0.19/0.49 Following clause subsumed by 684 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.
% 0.19/0.49 Following clause subsumed by 684 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.
% 0.19/0.49 Following clause subsumed by 684 during input processing: 0 [] {-} -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(B,A),A)=B.
% 0.19/0.49 Following clause subsumed by 689 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).
% 0.19/0.49 Following clause subsumed by 77 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).
% 0.19/0.49 Following clause subsumed by 76 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).
% 0.19/0.49 Following clause subsumed by 693 during input processing: 0 [] {-} -class_OrderedGroup_Opordered__ab__group__add(A)|c_lessequals(B,c_HOL_Ouminus__class_Ouminus(C,A),A)| -c_lessequals(C,c_HOL_Ouminus__class_Ouminus(B,A),A).
% 0.19/0.49 Following clause subsumed by 694 during input processing: 0 [] {-} -class_OrderedGroup_Opordered__ab__group__add(A)|c_lessequals(c_HOL_Ouminus__class_Ouminus(B,A),C,A)| -c_lessequals(c_HOL_Ouminus__class_Ouminus(C,A),B,A).
% 0.19/0.49 Following clause subsumed by 695 during input processing: 0 [] {-} -class_OrderedGroup_Opordered__ab__group__add(A)|c_HOL_Oord__class_Oless(B,c_HOL_Ouminus__class_Ouminus(C,A),A)| -c_HOL_Oord__class_Oless(C,c_HOL_Ouminus__class_Ouminus(B,A),A).
% 0.19/0.49 Following clause subsumed by 696 during input processing: 0 [] {-} -class_OrderedGroup_Opordered__ab__group__add(A)|c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(B,A),C,A)| -c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(C,A),B,A).
% 0.19/0.49 Following clause subsumed by 702 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).
% 0.19/0.49 Following clause subsumed by 710 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).
% 0.19/0.49 Following clause subsumed by 720 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)|C=c_HOL_Ozero__class_Ozero(A)|B=c_HOL_Ozero__class_Ozero(A).
% 0.19/0.49 Following clause subsumed by 724 during input processing: 0 [] {-} -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ominus__class_Ominus(B,B,A)=c_HOL_Ozero__class_Ozero(A).
% 0.19/0.49 Following clause subsumed by 719 during input processing: 0 [] {-} -class_Ring__and__Field_Ozero__neq__one(A)|c_HOL_Ozero__class_Ozero(A)!=c_HOL_Oone__class_Oone(A).
% 0.19/0.49 Following clause subsumed by 740 during input processing: 0 [] {-} c_lessequals(c_HOL_Otimes__class_Otimes(A,B,tc_nat),c_HOL_Otimes__class_Otimes(A,C,tc_nat),tc_nat)| -c_lessequals(B,C,tc_nat).
% 0.19/0.49 Following clause subsumed by 739 during input processing: 0 [] {-} c_lessequals(c_HOL_Otimes__class_Otimes(A,B,tc_nat),c_HOL_Otimes__class_Otimes(C,B,tc_nat),tc_nat)| -c_lessequals(A,C,tc_nat).
% 0.19/0.49 Following clause subsumed by 777 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_lessequals(B,C,A)|C=B.
% 0.19/0.49 Following clause subsumed by 778 during input processing: 0 [] {-} A=B|c_HOL_Oord__class_Oless(A,B,tc_nat)| -c_lessequals(A,B,tc_nat).
% 0.19/0.49 Following clause subsumed by 778 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(A,B,tc_nat)|A=B| -c_lessequals(A,B,tc_nat).
% 0.19/0.49 Following clause subsumed by 779 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)|B=C| -c_lessequals(B,C,A).
% 0.19/0.49 Following clause subsumed by 779 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)|B=C| -c_lessequals(B,C,A).
% 0.19/0.49 Following clause subsumed by 779 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_lessequals(B,C,A)|B=C.
% 0.19/0.49 Following clause subsumed by 780 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|B=C|c_HOL_Oord__class_Oless(B,C,A)| -c_lessequals(B,C,A).
% 0.19/0.49 Following clause subsumed by 791 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).
% 0.19/0.49 Following clause subsumed by 238 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).
% 0.19/0.49 Following clause subsumed by 803 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).
% 0.19/0.49 Following clause subsumed by 803 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).
% 0.19/0.49 Following clause subsumed by 658 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(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).
% 0.19/0.49 Following clause subsumed by 813 during input processing: 0 [] {-} -class_Orderings_Opreorder(A)| -c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(C,B,A).
% 0.19/0.49 Following clause subsumed by 698 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).
% 0.19/0.49 Following clause subsumed by 698 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).
% 0.19/0.49 Following clause subsumed by 819 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).
% 0.19/0.49 Following clause subsumed by 821 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.
% 0.19/0.49 Following clause subsumed by 468 during input processing: 0 [] {-} -class_Ring__and__Field_Osemiring__0(A)| -class_Power_Opower(A)|c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(A),c_HOL_Ozero__class_Ozero(tc_nat),A)=c_HOL_Oone__class_Oone(A).
% 0.19/0.51 Following clause subsumed by 307 during input processing: 0 [] {-} -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat).
% 0.19/0.51 Following clause subsumed by 830 during input processing: 0 [] {-} c_Suc(A)!=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.19/0.51 Following clause subsumed by 837 during input processing: 0 [] {-} c_HOL_Otimes__class_Otimes(A,B,tc_nat)!=c_HOL_Otimes__class_Otimes(A,C,tc_nat)|B=C|A=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.19/0.51 Following clause subsumed by 839 during input processing: 0 [] {-} c_HOL_Oplus__class_Oplus(A,B,tc_nat)!=A|B=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.19/0.51 Following clause subsumed by 830 during input processing: 0 [flip.1] {-} c_Suc(A)!=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.19/0.51 Following clause subsumed by 830 during input processing: 0 [flip.1] {-} c_Suc(A)!=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.19/0.51 Following clause subsumed by 840 during input processing: 0 [] {-} -c_HOL_Oord__class_Oless(A,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat).
% 0.19/0.51 9 back subsumes 8.
% 0.19/0.51 113 back subsumes 110.
% 0.19/0.51 114 back subsumes 112.
% 0.19/0.51 202 back subsumes 201.
% 0.19/0.51 207 back subsumes 206.
% 0.19/0.51 450 back subsumes 372.
% 0.19/0.51 466 back subsumes 103.
% 0.19/0.51 473 back subsumes 472.
% 0.19/0.51 574 back subsumes 572.
% 0.19/0.51 700 back subsumes 699.
% 0.19/0.51 705 back subsumes 704.
% 0.19/0.51 740 back subsumes 489.
% 0.19/0.51 740 back subsumes 322.
% 0.19/0.51 803 back subsumes 291.
% 0.19/0.51 804 back subsumes 292.
% 0.19/0.51 Following clause subsumed by 843 during input processing: 0 [copy,842,flip.1] {-} c_Lambda_OdB_OAbs(A)!=c_Lambda_OdB_OApp(B,C).
% 0.19/0.51 Following clause subsumed by 842 during input processing: 0 [copy,843,flip.1] {-} c_Lambda_OdB_OApp(A,B)!=c_Lambda_OdB_OAbs(C).
% 0.19/0.51 Following clause subsumed by 849 during input processing: 0 [copy,847,flip.1] {-} c_Lambda_OdB_OVar(A)!=c_Lambda_OdB_OAbs(B).
% 0.19/0.51 Following clause subsumed by 847 during input processing: 0 [copy,849,flip.1] {-} c_Lambda_OdB_OAbs(A)!=c_Lambda_OdB_OVar(B).
% 0.19/0.51 Following clause subsumed by 862 during input processing: 0 [copy,861,flip.1] {-} c_Lambda_OdB_OApp(A,B)!=c_Lambda_OdB_OVar(C).
% 0.19/0.51 Following clause subsumed by 861 during input processing: 0 [copy,862,flip.1] {-} c_Lambda_OdB_OVar(A)!=c_Lambda_OdB_OApp(B,C).
% 0.19/0.51 1007 back subsumes 986.
% 0.19/0.51 1027 back subsumes 866.
% 0.19/0.51
% 0.19/0.51 ------------> process sos:
% 0.19/0.51 Following clause subsumed by 1066 during input processing: 0 [] {-} c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(A,B,tc_nat),c_HOL_Otimes__class_Otimes(A,C,tc_nat),tc_nat)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(A,C,tc_nat),c_HOL_Otimes__class_Otimes(A,B,tc_nat),tc_nat).
% 0.19/0.51 Following clause subsumed by 1071 during input processing: 0 [demod,1061] {-} c_HOL_Oord__class_Oless(A,c_HOL_Oplus__class_Oplus(c_Suc(A),B,tc_nat),tc_nat).
% 0.19/0.51 Following clause subsumed by 1110 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(A),tc_nat).
% 0.19/0.51 Following clause subsumed by 1124 during input processing: 0 [] {-} c_lessequals(A,c_HOL_Oplus__class_Oplus(A,B,tc_nat),tc_nat).
% 0.19/0.51 Following clause subsumed by 1129 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(A,B,tc_nat)|c_HOL_Oord__class_Oless(B,A,tc_nat)|B=A.
% 0.19/0.51 Following clause subsumed by 1130 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(A,c_Suc(A),tc_nat).
% 0.19/0.51 Following clause subsumed by 1130 during input processing: 0 [unit_del,307] {-} c_HOL_Oord__class_Oless(A,c_Suc(A),tc_nat).
% 0.19/0.51 Following clause subsumed by 1152 during input processing: 0 [] {-} c_lessequals(A,A,tc_nat).
% 0.19/0.51 Following clause subsumed by 1104 during input processing: 0 [demod,1085] {-} c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)).
% 0.19/0.51 Following clause subsumed by 1152 during input processing: 0 [] {-} c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat).
% 0.19/0.51 Following clause subsumed by 1212 during input processing: 0 [demod,1210] {-} A=A.
% 0.19/0.51 Following clause subsumed by 1212 during input processing: 0 [demod,1207] {-} A=A.
% 0.19/0.51 Following clause subsumed by 1212 during input processing: 0 [demod,1234] {-} B=B.
% 0.19/0.51 Following clause subsumed by 1212 during input processing: 0 [] {-} A=A.
% 0.19/0.51 Following clause subsumed by 1105 during input processing: 0 [copy,1063,flip.1] {-} c_HOL_Oplus__class_Oplus(c_Suc(A),B,tc_nat)=c_HOL_Oplus__class_Oplus(A,c_Suc(B),tc_nat).
% 0.19/0.52 Following clause subsumed by 1074 during input processing: 0 [copy,1066,flip.1] {-} c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(A,B,tc_nat),c_HOL_Otimes__class_Otimes(A,C,tc_nat),tc_nat)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(A,C,tc_nat),c_HOL_Otimes__class_Otimes(A,B,tc_nat),tc_nat).
% 0.19/0.52 Following clause subsumed by 1074 during input processing: 0 [copy,1074,flip.1] {-} c_HOL_Oplus__class_Oplus(A,B,tc_nat)=c_HOL_Oplus__class_Oplus(B,A,tc_nat).
% 0.19/0.52 1074 back subsumes 1066.
% 0.19/0.52 Following clause subsumed by 1078 during input processing: 0 [copy,1078,flip.1] {-} c_HOL_Otimes__class_Otimes(A,B,tc_nat)=c_HOL_Otimes__class_Otimes(B,A,tc_nat).
% 0.19/0.52 Following clause subsumed by 1080 during input processing: 0 [copy,1080,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).
% 0.19/0.52 Following clause subsumed by 1212 during input processing: 0 [copy,1104,flip.1] {-} c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)).
% 0.19/0.52 Following clause subsumed by 1063 during input processing: 0 [copy,1105,flip.1] {-} c_HOL_Oplus__class_Oplus(A,c_Suc(B),tc_nat)=c_HOL_Oplus__class_Oplus(c_Suc(A),B,tc_nat).
% 0.19/0.52 1110 back subsumes 1088.
% 0.19/0.52 Following clause subsumed by 1121 during input processing: 0 [copy,1121,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).
% 0.19/0.52 1152 back subsumes 1137.
% 0.19/0.52 1152 back subsumes 898.
% 0.19/0.52 Following clause subsumed by 1212 during input processing: 0 [copy,1171,flip.1] {-} c_HOL_Ozero__class_Ozero(tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.19/0.52 Following clause subsumed by 1212 during input processing: 0 [copy,1172,flip.1,demod,1178,1178] {-} c_HOL_Ozero__class_Ozero(tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.19/0.52 Following clause subsumed by 1212 during input processing: 0 [copy,1173,flip.1,demod,1180,1180] {-} c_HOL_Ozero__class_Ozero(tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.19/0.52 Following clause subsumed by 1204 during input processing: 0 [copy,1204,flip.1] {-} c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),A,B)=c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),C,B).
% 0.19/0.52 Following clause subsumed by 1212 during input processing: 0 [copy,1212,flip.1] {-} A=A.
% 0.19/0.52 1212 back subsumes 1171.
% 0.19/0.52 1212 back subsumes 1104.
% 0.19/0.52 1212 back subsumes 1049.
% 0.19/0.52 1212 back subsumes 1045.
% 0.19/0.52 1212 back subsumes 1023.
% 0.19/0.52 1212 back subsumes 1022.
% 0.19/0.52 1212 back subsumes 1021.
% 0.19/0.52 1212 back subsumes 979.
% 0.19/0.52 1212 back subsumes 949.
% 0.19/0.52 1212 back subsumes 930.
% 0.19/0.52 1212 back subsumes 929.
% 0.19/0.52 1212 back subsumes 928.
% 0.19/0.52 1212 back subsumes 927.
% 0.19/0.52 1212 back subsumes 900.
% 0.19/0.52 Following clause subsumed by 1075 during input processing: 0 [copy,1276,flip.1] {-} c_Lambda_Oliftn(c_Suc(A),B,C)=c_Lambda_Olift(c_Lambda_Oliftn(A,B,C),C).
% 0.19/0.52 Following clause subsumed by 1086 during input processing: 0 [copy,1277,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).
% 0.19/0.52 Following clause subsumed by 1087 during input processing: 0 [copy,1278,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).
% 0.19/0.52 Following clause subsumed by 1102 during input processing: 0 [copy,1282,flip.1] {-} c_Suc(A)=c_HOL_Oplus__class_Oplus(A,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat).
% 0.19/0.52 Following clause subsumed by 1112 during input processing: 0 [copy,1283,flip.1] {-} c_Nat_Osize__class_Osize(c_Lambda_OdB_OApp(A,B),tc_Lambda_OdB)=c_HOL_Oplus__class_Oplus(c_Nat_Osize__class_Osize(A,tc_Lambda_OdB),c_HOL_Oplus__class_Oplus(c_Nat_Osize__class_Osize(B,tc_Lambda_OdB),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),tc_nat).
% 0.19/0.52 Following clause subsumed by 1136 during input processing: 0 [copy,1297,flip.1] {-} c_Nat_Osize__class_Osize(c_Lambda_OdB_OAbs(A),tc_Lambda_OdB)=c_HOL_Oplus__class_Oplus(c_Nat_Osize__class_Osize(A,tc_Lambda_OdB),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat).
% 0.19/0.52 Following clause subsumed by 1161 during input processing: 0 [copy,1298,flip.1] {-} c_Lambda_OdB_OdB__size(c_Lambda_OdB_OApp(A,B))=c_HOL_Oplus__class_Oplus(c_Lambda_OdB_OdB__size(A),c_HOL_Oplus__class_Oplus(c_Lambda_OdB_OdB__size(B),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),tc_nat).
% 0.19/0.52 Following clause subsumed by 1162 during input processing: 0 [copy,1299,flip.1] {-} c_Lambda_OdB_OdB__size(c_Lambda_OdB_OAbs(A))=c_HOL_Oplus__class_Oplus(c_Lambda_OdB_OdB__size(A),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat).
% 0.19/0.52 Following clause subsumed by 1187 during input processing: 0 [copy,1301,flip.1] {-} c_HOL_Ominus__class_Ominus(A,A,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.19/0.52 Following clause subsumed by 1203 during input processing: 0 [copy,1302,flip.1] {-} c_Nat_Osize__class_Osize(A,tc_String_Ochar)=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.19/0.52 Following clause subsumed by 1221 during input processing: 0 [copy,1303,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).
% 0.19/0.52
% 0.19/0.52 ======= end of input processing =======
% 0.57/0.76
% 0.57/0.76
% 0.57/0.76
% 0.57/0.76 Aborting on detection of an error:
% 0.57/0.76
% 0.57/0.76 Too many clauses (whew!).
% 0.57/0.76
%------------------------------------------------------------------------------