TSTP Solution File: LCL804-1 by SOS---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : LCL804-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n015.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 14:33:04 EDT 2022
% Result : Unknown 0.77s 1.03s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL804-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.13 % Command : sos-script %s
% 0.13/0.34 % Computer : n015.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 : Sun Jul 3 21:41:30 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.52 ----- Otter 3.2, August 2001 -----
% 0.19/0.52 The process was started by sandbox2 on n015.cluster.edu,
% 0.19/0.52 Sun Jul 3 21:41:31 2022
% 0.19/0.52 The command was "./sos". The process ID is 1591.
% 0.19/0.52
% 0.19/0.52 set(prolog_style_variables).
% 0.19/0.52 set(auto).
% 0.19/0.52 dependent: set(auto1).
% 0.19/0.52 dependent: set(process_input).
% 0.19/0.52 dependent: clear(print_kept).
% 0.19/0.52 dependent: clear(print_new_demod).
% 0.19/0.52 dependent: clear(print_back_demod).
% 0.19/0.52 dependent: clear(print_back_sub).
% 0.19/0.52 dependent: set(control_memory).
% 0.19/0.52 dependent: assign(max_mem, 12000).
% 0.19/0.52 dependent: assign(pick_given_ratio, 4).
% 0.19/0.52 dependent: assign(stats_level, 1).
% 0.19/0.52 dependent: assign(pick_semantic_ratio, 3).
% 0.19/0.52 dependent: assign(sos_limit, 5000).
% 0.19/0.52 dependent: assign(max_weight, 60).
% 0.19/0.52 clear(print_given).
% 0.19/0.52
% 0.19/0.52 list(usable).
% 0.19/0.52
% 0.19/0.52 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=6.
% 0.19/0.52
% 0.19/0.52 This ia a non-Horn set with equality. The strategy will be
% 0.19/0.52 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.19/0.52 unit deletion, with positive clauses in sos and nonpositive
% 0.19/0.52 clauses in usable.
% 0.19/0.52
% 0.19/0.52 dependent: set(knuth_bendix).
% 0.19/0.52 dependent: set(para_from).
% 0.19/0.52 dependent: set(para_into).
% 0.19/0.52 dependent: clear(para_from_right).
% 0.19/0.52 dependent: clear(para_into_right).
% 0.19/0.52 dependent: set(para_from_vars).
% 0.19/0.52 dependent: set(eq_units_both_ways).
% 0.19/0.52 dependent: set(dynamic_demod_all).
% 0.19/0.52 dependent: set(dynamic_demod).
% 0.19/0.52 dependent: set(order_eq).
% 0.19/0.52 dependent: set(back_demod).
% 0.19/0.52 dependent: set(lrpo).
% 0.19/0.52 dependent: set(hyper_res).
% 0.19/0.52 dependent: set(unit_deletion).
% 0.19/0.52 dependent: set(factor).
% 0.19/0.52
% 0.19/0.52 ------------> process usable:
% 0.19/0.52 Following clause subsumed by 21 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_lessequals(B,hAPP(hAPP(c_Orderings_Oord__class_Omin(A),C),D),A)| -c_lessequals(B,D,A)| -c_lessequals(B,C,A).
% 0.19/0.52 Following clause subsumed by 21 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_lessequals(B,hAPP(hAPP(c_Orderings_Oord__class_Omin(A),C),D),A)| -c_lessequals(B,D,A)| -c_lessequals(B,C,A).
% 0.19/0.52 Following clause subsumed by 13 during input processing: 0 [flip.2] {-} -class_Ring__and__Field_Oring(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),E),C)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_HOL_Ominus__class_Ominus(B,E,A)),C)),D))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)),D).
% 0.19/0.52 Following clause subsumed by 32 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_HOL_Oone__class_Oone(A)),B)=B.
% 0.19/0.52 Following clause subsumed by 42 during input processing: 0 [] {-} -class_Ring__and__Field_Oidom(A)| -class_Int_Onumber__ring(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)).
% 0.19/0.52 Following clause subsumed by 50 during input processing: 0 [] {-} -hBOOL(hAPP(A,c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),C),B,tc_nat)))|hBOOL(hAPP(A,C)).
% 0.19/0.52 Following clause subsumed by 56 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_Power_Opower__class_Opower(A),B),c_Suc(C))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C)).
% 0.19/0.52 Following clause subsumed by 60 during input processing: 0 [] {-} -c_lessequals(A,A,tc_nat)|c_HOL_Oord__class_Oless(A,c_Suc(A),tc_nat).
% 0.19/0.52 Following clause subsumed by 65 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)=hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),C),B).
% 0.19/0.52 Following clause subsumed by 1 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).
% 0.19/0.53 Following clause subsumed by 1 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).
% 0.19/0.53 Following clause subsumed by 82 during input processing: 0 [] {-} c_lessequals(c_Suc(A),B,tc_nat)| -c_HOL_Oord__class_Oless(A,B,tc_nat).
% 0.19/0.53 Following clause subsumed by 83 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(A,B,tc_nat)| -c_lessequals(c_Suc(A),B,tc_nat).
% 0.19/0.53 Following clause subsumed by 84 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(A,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),C),tc_nat)| -c_HOL_Oord__class_Oless(A,B,tc_nat).
% 0.19/0.53 Following clause subsumed by 85 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(A,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),C),tc_nat)| -c_HOL_Oord__class_Oless(A,C,tc_nat).
% 0.19/0.53 Following clause subsumed by 97 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),C),B).
% 0.19/0.53 Following clause subsumed by 121 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omin(A),B),C),D,A)| -c_lessequals(C,D,A).
% 0.19/0.53 Following clause subsumed by 122 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omin(A),B),C),D,A)| -c_lessequals(B,D,A).
% 0.19/0.53 Following clause subsumed by 119 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_lessequals(B,C,A)| -c_lessequals(B,hAPP(hAPP(c_Orderings_Oord__class_Omin(A),D),C),A).
% 0.19/0.53 Following clause subsumed by 120 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_lessequals(B,C,A)| -c_lessequals(B,hAPP(hAPP(c_Orderings_Oord__class_Omin(A),C),D),A).
% 0.19/0.53 Following clause subsumed by 127 during input processing: 0 [] {-} c_Suc(A)!=c_Suc(B)|A=B.
% 0.19/0.53 Following clause subsumed by 146 during input processing: 0 [flip.2] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C)),D)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),C),D)).
% 0.19/0.53 Following clause subsumed by 146 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C)),D)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),C),D)).
% 0.19/0.53 Following clause subsumed by 159 during input processing: 0 [] {-} c_lessequals(A,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),C),tc_nat)| -c_lessequals(A,C,tc_nat).
% 0.19/0.53 Following clause subsumed by 160 during input processing: 0 [] {-} c_lessequals(A,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),C),tc_nat)| -c_lessequals(A,B,tc_nat).
% 0.19/0.53 Following clause subsumed by 171 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,B,A)|c_lessequals(B,B,A).
% 0.19/0.53 Following clause subsumed by 171 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_lessequals(B,C,A)|c_HOL_Oord__class_Oless(C,B,A).
% 0.19/0.53 Following clause subsumed by 173 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -c_lessequals(B,C,A)| -c_HOL_Oord__class_Oless(C,B,A).
% 0.19/0.53 Following clause subsumed by 171 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,C,A)|c_lessequals(C,B,A).
% 0.19/0.53 Following clause subsumed by 189 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).
% 0.19/0.53 Following clause subsumed by 204 during input processing: 0 [] {-} c_lessequals(A,B,tc_nat)| -c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),C),A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),C),B),tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),C,tc_nat).
% 0.19/0.53 Following clause subsumed by 118 during input processing: 0 [] {-} -c_lessequals(A,B,tc_nat)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),C)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(B,A,tc_nat)),C)),D))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),B),C)),D).
% 0.19/0.53 Following clause subsumed by 230 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).
% 0.19/0.53 Following clause subsumed by 231 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).
% 0.19/0.53 Following clause subsumed by 228 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).
% 0.19/0.53 Following clause subsumed by 229 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).
% 0.19/0.53 Following clause subsumed by 257 during input processing: 0 [] {-} -class_Ring__and__Field_Oidom(A)| -class_Int_Onumber__ring(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),E))!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),E)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),C))|C=E|B=D.
% 0.19/0.53 Following clause subsumed by 258 during input processing: 0 [] {-} hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),B)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),C),D))!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),D)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),C),B))|B=D|A=C.
% 0.19/0.53 Following clause subsumed by 264 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).
% 0.19/0.53 Following clause subsumed by 278 during input processing: 0 [flip.1] {-} c_List_Oappend(c_List_Olist__update(A,D,E,C),B,C)=c_List_Olist__update(c_List_Oappend(A,B,C),D,E,C)| -c_HOL_Oord__class_Oless(D,c_Nat_Osize__class_Osize(A,tc_List_Olist(C)),tc_nat).
% 0.19/0.53 Following clause subsumed by 286 during input processing: 0 [] {-} -c_HOL_Oord__class_Oless(A,A,tc_nat).
% 0.19/0.53 Following clause subsumed by 294 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).
% 0.19/0.53 Following clause subsumed by 295 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).
% 0.19/0.53 Following clause subsumed by 314 during input processing: 0 [] {-} -hBOOL(hAPP(A,c_Nat_Onat_Onat__case(B,C,c_Suc(D),t_a)))|hBOOL(hAPP(A,hAPP(C,D))).
% 0.19/0.53 Following clause subsumed by 315 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_Orderings_Oord__class_Omin(A),B),C),D,A)| -c_HOL_Oord__class_Oless(B,D,A).
% 0.19/0.53 Following clause subsumed by 316 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_Orderings_Oord__class_Omin(A),B),C),D,A)| -c_HOL_Oord__class_Oless(C,D,A).
% 0.19/0.53 Following clause subsumed by 326 during input processing: 0 [] {-} -class_Ring__and__Field_Opordered__cancel__semiring(A)|c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C),c_HOL_Ozero__class_Ozero(A),A)| -c_lessequals(C,c_HOL_Ozero__class_Ozero(A),A)| -c_lessequals(c_HOL_Ozero__class_Ozero(A),B,A).
% 0.19/0.53 Following clause subsumed by 327 during input processing: 0 [] {-} -class_Ring__and__Field_Opordered__cancel__semiring(A)|c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C),c_HOL_Ozero__class_Ozero(A),A)| -c_lessequals(c_HOL_Ozero__class_Ozero(A),C,A)| -c_lessequals(B,c_HOL_Ozero__class_Ozero(A),A).
% 0.19/0.53 Following clause subsumed by 327 during input processing: 0 [] {-} -class_Ring__and__Field_Opordered__cancel__semiring(A)|c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C),c_HOL_Ozero__class_Ozero(A),A)| -c_lessequals(B,c_HOL_Ozero__class_Ozero(A),A)| -c_lessequals(c_HOL_Ozero__class_Ozero(A),C,A).
% 0.19/0.53 Following clause subsumed by 333 during input processing: 0 [] {-} hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),C)|B=C.
% 0.19/0.53 Following clause subsumed by 341 during input processing: 0 [] {-} c_List_Olist_OCons(A,B,C)!=c_List_Olist_ONil(C).
% 0.19/0.53 Following clause subsumed by 354 during input processing: 0 [flip.1] {-} hAPP(hAPP(A,hAPP(hAPP(A,B),C)),D)=hAPP(hAPP(A,B),hAPP(hAPP(A,C),D))| -c_Groebner__Basis_Ogb__semiring(A,E,F,G,H,I).
% 0.19/0.53 Following clause subsumed by 352 during input processing: 0 [] {-} hAPP(hAPP(A,B),C)=hAPP(hAPP(A,C),B)| -c_Groebner__Basis_Ogb__semiring(A,D,E,F,G,H).
% 0.19/0.53 Following clause subsumed by 354 during input processing: 0 [] {-} hAPP(hAPP(A,hAPP(hAPP(A,B),C)),D)=hAPP(hAPP(A,B),hAPP(hAPP(A,C),D))| -c_Groebner__Basis_Ogb__semiring(A,E,F,G,H,I).
% 0.19/0.53 Following clause subsumed by 349 during input processing: 0 [flip.1] {-} hAPP(hAPP(A,hAPP(hAPP(A,B),C)),D)=hAPP(hAPP(A,B),hAPP(hAPP(A,C),D))| -c_Groebner__Basis_Ogb__semiring(E,A,F,G,H,I).
% 0.19/0.53 Following clause subsumed by 349 during input processing: 0 [] {-} hAPP(hAPP(A,hAPP(hAPP(A,B),C)),D)=hAPP(hAPP(A,B),hAPP(hAPP(A,C),D))| -c_Groebner__Basis_Ogb__semiring(E,A,F,G,H,I).
% 0.19/0.53 Following clause subsumed by 367 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.
% 0.19/0.53 Following clause subsumed by 370 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C| -c_lessequals(C,B,A)| -c_lessequals(B,C,A).
% 0.19/0.53 Following clause subsumed by 370 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C| -c_lessequals(B,C,A)| -c_lessequals(C,B,A).
% 0.19/0.53 Following clause subsumed by 367 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).
% 0.19/0.53 Following clause subsumed by 367 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).
% 0.19/0.53 Following clause subsumed by 373 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).
% 0.19/0.53 Following clause subsumed by 381 during input processing: 0 [] {-} c_lessequals(A,B,tc_nat)| -c_HOL_Oord__class_Oless(A,B,tc_nat).
% 0.19/0.53 Following clause subsumed by 410 during input processing: 0 [] {-} hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ominus__class_Ominus(A,B,tc_nat)),B)=A| -c_lessequals(B,A,tc_nat).
% 0.19/0.53 Following clause subsumed by 415 during input processing: 0 [] {-} hAPP(hAPP(A,B),c_Suc(C))=hAPP(hAPP(D,B),hAPP(hAPP(A,B),C))| -c_Groebner__Basis_Ogb__semiring(E,D,A,F,G,H).
% 0.19/0.53 Following clause subsumed by 270 during input processing: 0 [] {-} hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),c_HOL_Ominus__class_Ominus(B,C,tc_nat))=c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B),C,tc_nat)| -c_lessequals(C,B,tc_nat).
% 0.19/0.53 Following clause subsumed by 272 during input processing: 0 [] {-} hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ominus__class_Ominus(A,B,tc_nat)),C)=c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),C),B,tc_nat)| -c_lessequals(B,A,tc_nat).
% 0.19/0.53 Following clause subsumed by 359 during input processing: 0 [] {-} hAPP(hAPP(A,hAPP(hAPP(A,B),C)),hAPP(hAPP(A,D),E))=hAPP(hAPP(A,D),hAPP(hAPP(A,hAPP(hAPP(A,B),C)),E))| -c_Groebner__Basis_Ogb__semiring(F,A,G,H,I,J).
% 0.19/0.53 Following clause subsumed by 349 during input processing: 0 [] {-} hAPP(hAPP(A,hAPP(hAPP(A,B),C)),hAPP(hAPP(A,D),E))=hAPP(hAPP(A,B),hAPP(hAPP(A,C),hAPP(hAPP(A,D),E)))| -c_Groebner__Basis_Ogb__semiring(F,A,G,H,I,J).
% 0.19/0.53 Following clause subsumed by 350 during input processing: 0 [] {-} hAPP(hAPP(A,B),C)=C| -c_Groebner__Basis_Ogb__semiring(D,A,E,F,B,G).
% 0.19/0.53 Following clause subsumed by 351 during input processing: 0 [] {-} hAPP(hAPP(A,B),C)=B| -c_Groebner__Basis_Ogb__semiring(D,A,E,B,F,G).
% 0.19/0.53 Following clause subsumed by 347 during input processing: 0 [] {-} hAPP(hAPP(A,B),C)=hAPP(hAPP(A,C),B)| -c_Groebner__Basis_Ogb__semiring(D,A,E,F,G,H).
% 0.19/0.54 Following clause subsumed by 355 during input processing: 0 [] {-} hAPP(hAPP(A,B),C)=C| -c_Groebner__Basis_Ogb__semiring(A,D,E,B,F,G).
% 0.19/0.54 Following clause subsumed by 444 during input processing: 0 [] {-} -class_Lattices_Olower__semilattice(A)|c_lessequals(B,C,A)| -c_lessequals(B,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),D),A).
% 0.19/0.54 Following clause subsumed by 445 during input processing: 0 [] {-} -class_Lattices_Olower__semilattice(A)|c_lessequals(B,C,A)| -c_lessequals(B,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),D),C),A).
% 0.19/0.54 Following clause subsumed by 476 during input processing: 0 [flip.1] {-} c_List_Olist_OCons(B,A,C)!=A.
% 0.19/0.54 Following clause subsumed by 486 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),B),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),C),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).
% 0.19/0.54 Following clause subsumed by 485 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),B),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),C),B),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).
% 0.19/0.54 Following clause subsumed by 416 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(A,B,tc_nat)| -c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),C),A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),C),B),tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),C,tc_nat).
% 0.19/0.54 Following clause subsumed by 486 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),B),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),C),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).
% 0.19/0.54 Following clause subsumed by 488 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__ring__strict(A)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D),A)| -c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(D,C,A).
% 0.19/0.54 Following clause subsumed by 490 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__ring__strict(A)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D),A)| -c_HOL_Oord__class_Oless(C,D,A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),B,A).
% 0.19/0.54 Following clause subsumed by 488 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__ring__strict(A)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D),A)| -c_HOL_Oord__class_Oless(D,C,A)| -c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A).
% 0.19/0.54 Following clause subsumed by 492 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__ring__strict(A)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),C),A)| -c_HOL_Oord__class_Oless(D,B,A)| -c_HOL_Oord__class_Oless(C,c_HOL_Ozero__class_Ozero(A),A).
% 0.19/0.54 Following clause subsumed by 499 during input processing: 0 [] {-} -class_Lattices_Olower__semilattice(A)|c_lessequals(B,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),D),A)| -c_lessequals(B,D,A)| -c_lessequals(B,C,A).
% 0.19/0.54 Following clause subsumed by 499 during input processing: 0 [] {-} -class_Lattices_Olower__semilattice(A)|c_lessequals(B,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),D),A)| -c_lessequals(B,D,A)| -c_lessequals(B,C,A).
% 0.19/0.54 Following clause subsumed by 502 during input processing: 0 [] {-} hAPP(hAPP(hAPP(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).
% 0.19/0.54 Following clause subsumed by 56 during input processing: 0 [flip.2] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_Power_Opower__class_Opower(A),B),c_Suc(C))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C)).
% 0.19/0.54 Following clause subsumed by 510 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__semiring__strict(A)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C),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).
% 0.19/0.54 Following clause subsumed by 323 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).
% 0.19/0.54 Following clause subsumed by 527 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__semidom(A)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),D),A)| -c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(A),B,A)| -c_HOL_Oord__class_Oless(C,D,tc_nat).
% 0.19/0.54 Following clause subsumed by 528 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(hAPP(hAPP(c_Power_Opower__class_Opower(A),D),B),hAPP(hAPP(c_Power_Opower__class_Opower(A),D),C),A)| -c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(A),D,A).
% 0.19/0.54 Following clause subsumed by 538 during input processing: 0 [flip.1] {-} c_List_Oappend(A,B,C)!=A|B=c_List_Olist_ONil(C).
% 0.19/0.54 Following clause subsumed by 539 during input processing: 0 [flip.1] {-} c_List_Oappend(B,A,C)!=A|B=c_List_Olist_ONil(C).
% 0.19/0.54 Following clause subsumed by 546 during input processing: 0 [flip.1] {-} c_Suc(A)!=A.
% 0.19/0.54 Following clause subsumed by 592 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).
% 0.19/0.54 Following clause subsumed by 603 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__semidom(A)|c_lessequals(B,C,tc_nat)| -c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(A),D),B),hAPP(hAPP(c_Power_Opower__class_Opower(A),D),C),A)| -c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(A),D,A).
% 0.19/0.54 Following clause subsumed by 611 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).
% 0.19/0.54 Following clause subsumed by 85 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B),tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),B,tc_nat).
% 0.19/0.54 Following clause subsumed by 84 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B),tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),A,tc_nat).
% 0.19/0.54 Following clause subsumed by 619 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_HOL_Ozero__class_Ozero(A)),B)=c_HOL_Ozero__class_Ozero(A).
% 0.19/0.54 Following clause subsumed by 627 during input processing: 0 [] {-} -class_Ring__and__Field_Ono__zero__divisors(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)!=c_HOL_Ozero__class_Ozero(A)|C=c_HOL_Ozero__class_Ozero(A)|B=c_HOL_Ozero__class_Ozero(A).
% 0.19/0.54 Following clause subsumed by 631 during input processing: 0 [] {-} -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ominus__class_Ominus(B,B,A)=c_HOL_Ozero__class_Ozero(A).
% 0.19/0.54 Following clause subsumed by 626 during input processing: 0 [] {-} -class_Ring__and__Field_Ozero__neq__one(A)|c_HOL_Ozero__class_Ozero(A)!=c_HOL_Oone__class_Oone(A).
% 0.19/0.54 Following clause subsumed by 640 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),c_HOL_Ozero__class_Ozero(A)),B)=B.
% 0.19/0.54 Following clause subsumed by 427 during input processing: 0 [] {-} -class_Ring__and__Field_Osemiring__0(A)| -class_Power_Opower(A)|hAPP(hAPP(c_Power_Opower__class_Opower(A),c_HOL_Ozero__class_Ozero(A)),c_HOL_Ozero__class_Ozero(tc_nat))=c_HOL_Oone__class_Oone(A).
% 0.19/0.55 Following clause subsumed by 286 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).
% 0.19/0.55 Following clause subsumed by 648 during input processing: 0 [] {-} c_Suc(A)!=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.19/0.55 Following clause subsumed by 659 during input processing: 0 [] {-} c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),B),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),C),tc_nat)| -c_lessequals(B,C,tc_nat).
% 0.19/0.55 Following clause subsumed by 658 during input processing: 0 [] {-} c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),B),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),C),B),tc_nat)| -c_lessequals(A,C,tc_nat).
% 0.19/0.55 Following clause subsumed by 697 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_lessequals(B,C,A)|C=B.
% 0.19/0.55 Following clause subsumed by 698 during input processing: 0 [] {-} A=B|c_HOL_Oord__class_Oless(A,B,tc_nat)| -c_lessequals(A,B,tc_nat).
% 0.19/0.55 Following clause subsumed by 698 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(A,B,tc_nat)|A=B| -c_lessequals(A,B,tc_nat).
% 0.19/0.55 Following clause subsumed by 699 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)|B=C| -c_lessequals(B,C,A).
% 0.19/0.55 Following clause subsumed by 699 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)|B=C| -c_lessequals(B,C,A).
% 0.19/0.55 Following clause subsumed by 699 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_lessequals(B,C,A)|B=C.
% 0.19/0.55 Following clause subsumed by 700 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|B=C|c_HOL_Oord__class_Oless(B,C,A)| -c_lessequals(B,C,A).
% 0.19/0.55 Following clause subsumed by 705 during input processing: 0 [] {-} -class_Ring__and__Field_Opordered__ring(A)|c_lessequals(c_HOL_Ozero__class_Ozero(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C),A)| -c_lessequals(C,c_HOL_Ozero__class_Ozero(A),A)| -c_lessequals(B,c_HOL_Ozero__class_Ozero(A),A).
% 0.19/0.55 Following clause subsumed by 185 during input processing: 0 [flip.1] {-} hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),B)!=c_HOL_Oone__class_Oone(tc_nat)|A=c_HOL_Oone__class_Oone(tc_nat).
% 0.19/0.55 Following clause subsumed by 184 during input processing: 0 [flip.1] {-} hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),B)!=c_HOL_Oone__class_Oone(tc_nat)|B=c_HOL_Oone__class_Oone(tc_nat).
% 0.19/0.55 Following clause subsumed by 711 during input processing: 0 [flip.2] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)),D)=hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),C),D)).
% 0.19/0.55 Following clause subsumed by 711 during input processing: 0 [flip.2] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)),D)=hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),C),D)).
% 0.19/0.55 Following clause subsumed by 721 during input processing: 0 [] {-} -class_Orderings_Opreorder(A)| -c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(C,B,A).
% 0.19/0.55 Following clause subsumed by 728 during input processing: 0 [] {-} hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),B)!=hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),C)|B=C|A=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.19/0.55 Following clause subsumed by 730 during input processing: 0 [] {-} hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)!=A|B=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.19/0.55 Following clause subsumed by 648 during input processing: 0 [flip.1] {-} c_Suc(A)!=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.19/0.55 Following clause subsumed by 648 during input processing: 0 [flip.1] {-} c_Suc(A)!=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.19/0.55 Following clause subsumed by 738 during input processing: 0 [] {-} -c_HOL_Oord__class_Oless(A,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat).
% 0.19/0.55 Following clause subsumed by 657 during input processing: 0 [copy,129,flip.1] {-} c_Lambda_OdB_OAbs(A)!=c_Lambda_OdB_OVar(B).
% 0.36/0.56 173 back subsumes 172.
% 0.36/0.56 Following clause subsumed by 610 during input processing: 0 [copy,261,flip.1] {-} hAPP(hAPP(c_Lambda_OdB_OApp,A),B)!=c_Lambda_OdB_OVar(C).
% 0.36/0.56 Following clause subsumed by 387 during input processing: 0 [copy,341,flip.1] {-} c_List_Olist_ONil(A)!=c_List_Olist_OCons(B,C,A).
% 0.36/0.56 Following clause subsumed by 341 during input processing: 0 [copy,387,flip.1] {-} c_List_Olist_OCons(A,B,C)!=c_List_Olist_ONil(C).
% 0.36/0.56 416 back subsumes 330.
% 0.36/0.56 Following clause subsumed by 656 during input processing: 0 [copy,576,flip.1] {-} hAPP(hAPP(c_Lambda_OdB_OApp,A),B)!=c_Lambda_OdB_OAbs(C).
% 0.36/0.56 Following clause subsumed by 261 during input processing: 0 [copy,610,flip.1] {-} c_Lambda_OdB_OVar(A)!=hAPP(hAPP(c_Lambda_OdB_OApp,B),C).
% 0.36/0.56 Following clause subsumed by 576 during input processing: 0 [copy,656,flip.1] {-} c_Lambda_OdB_OAbs(A)!=hAPP(hAPP(c_Lambda_OdB_OApp,B),C).
% 0.36/0.56 Following clause subsumed by 129 during input processing: 0 [copy,657,flip.1] {-} c_Lambda_OdB_OVar(A)!=c_Lambda_OdB_OAbs(B).
% 0.36/0.56 659 back subsumes 450.
% 0.36/0.56 659 back subsumes 205.
% 0.36/0.56 711 back subsumes 274.
% 0.36/0.56 712 back subsumes 275.
% 0.36/0.56 Following clause subsumed by 237 during input processing: 0 [copy,810,flip.1] {-} c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(A),B,tc_Lambda_OdB,tc_Lambda_OdB)!=c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(C),D,tc_Lambda_OdB,tc_Lambda_OdB).
% 0.36/0.56 876 back subsumes 875.
% 0.36/0.56 Following clause subsumed by 590 during input processing: 0 [copy,880,flip.1] {-} hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(A)),B)!=c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(C),D,tc_Lambda_OdB,tc_Lambda_OdB).
% 0.36/0.56 887 back subsumes 782.
% 0.36/0.56
% 0.36/0.56 ------------> process sos:
% 0.36/0.56 Following clause subsumed by 910 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(A,c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)),tc_nat).
% 0.36/0.56 Following clause subsumed by 934 during input processing: 0 [] {-} hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),B)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),C))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),C)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),B)).
% 0.36/0.56 Following clause subsumed by 963 during input processing: 0 [demod,961] {-} B=B.
% 0.36/0.56 Following clause subsumed by 963 during input processing: 0 [demod,961] {-} A=A.
% 0.36/0.56 Following clause subsumed by 963 during input processing: 0 [demod,966] {-} A=A.
% 0.36/0.56 Following clause subsumed by 963 during input processing: 0 [demod,966] {-} A=A.
% 0.36/0.56 Following clause subsumed by 963 during input processing: 0 [demod,924] {-} c_HOL_Oone__class_Oone(tc_nat)=c_HOL_Oone__class_Oone(tc_nat).
% 0.36/0.56 Following clause subsumed by 963 during input processing: 0 [demod,989] {-} hAPP(A,hAPP(B,C))=hAPP(A,hAPP(B,C)).
% 0.36/0.56 Following clause subsumed by 995 during input processing: 0 [demod,931,997,931] {-} hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Oone__class_Oone(tc_nat)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Oone__class_Oone(tc_nat)),B)).
% 0.36/0.56 Following clause subsumed by 963 during input processing: 0 [demod,931,931,1027] {-} c_HOL_Ominus__class_Ominus(A,B,tc_nat)=c_HOL_Ominus__class_Ominus(A,B,tc_nat).
% 0.36/0.56 Following clause subsumed by 963 during input processing: 0 [demod,931,992,931,992,924,931,992] {-} c_HOL_Oone__class_Oone(tc_nat)=c_HOL_Oone__class_Oone(tc_nat).
% 0.36/0.56 Following clause subsumed by 963 during input processing: 0 [demod,931,992,931,992,992] {-} c_HOL_Oone__class_Oone(tc_nat)=c_HOL_Oone__class_Oone(tc_nat).
% 0.36/0.56 Following clause subsumed by 1058 during input processing: 0 [demod,931] {-} c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Oone__class_Oone(tc_nat)),A),tc_nat).
% 0.36/0.56 Following clause subsumed by 963 during input processing: 0 [demod,1069] {-} c_List_Oappend(c_List_Olist_OCons(A,B,C),D,C)=c_List_Oappend(c_List_Olist_OCons(A,B,C),D,C).
% 0.36/0.56 Following clause subsumed by 963 during input processing: 0 [demod,1082] {-} c_List_Olist_ONil(A)=c_List_Olist_ONil(A).
% 0.38/0.57 Following clause subsumed by 963 during input processing: 0 [demod,1082] {-} c_List_Olist_ONil(A)=c_List_Olist_ONil(A).
% 0.38/0.57 Following clause subsumed by 963 during input processing: 0 [demod,1069] {-} c_List_Oappend(c_List_Olist_OCons(A,B,D),C,D)=c_List_Oappend(c_List_Olist_OCons(A,B,D),C,D).
% 0.38/0.57 Following clause subsumed by 963 during input processing: 0 [demod,1069] {-} c_List_Oappend(c_List_Olist_OCons(A,B,D),C,D)=c_List_Oappend(c_List_Olist_OCons(A,B,D),C,D).
% 0.38/0.57 Following clause subsumed by 1091 during input processing: 0 [] {-} c_lessequals(A,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B),tc_nat).
% 0.38/0.57 Following clause subsumed by 1099 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(A,B),C))|c_HOL_Oord__class_Oless(B,C,tc_nat)|C=B|c_HOL_Oord__class_Oless(C,B,tc_nat).
% 0.38/0.57 Following clause subsumed by 1099 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(A,B,tc_nat)|c_HOL_Oord__class_Oless(B,A,tc_nat)|B=A.
% 0.38/0.57 Following clause subsumed by 1103 during input processing: 0 [demod,931] {-} c_HOL_Oord__class_Oless(A,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Oone__class_Oone(tc_nat)),A),tc_nat).
% 0.38/0.57 Following clause subsumed by 1109 during input processing: 0 [] {-} c_List_Otake(c_HOL_Ozero__class_Ozero(tc_nat),c_List_Olist_OCons(A,B,C),C)=c_List_Olist_ONil(C).
% 0.38/0.57 Following clause subsumed by 963 during input processing: 0 [demod,924] {-} c_HOL_Oone__class_Oone(tc_nat)=c_HOL_Oone__class_Oone(tc_nat).
% 0.38/0.57 Following clause subsumed by 1103 during input processing: 0 [demod,931,unit_del,286] {-} c_HOL_Oord__class_Oless(A,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Oone__class_Oone(tc_nat)),A),tc_nat).
% 0.38/0.57 Following clause subsumed by 963 during input processing: 0 [demod,961] {-} c_List_Olist_OCons(B,C,A)=c_List_Olist_OCons(B,C,A).
% 0.38/0.57 Following clause subsumed by 1162 during input processing: 0 [] {-} c_lessequals(A,A,tc_nat).
% 0.38/0.57 Following clause subsumed by 963 during input processing: 0 [demod,961] {-} c_List_Olist_OCons(A,B,C)=c_List_Olist_OCons(A,B,C).
% 0.38/0.57 Following clause subsumed by 963 during input processing: 0 [demod,1060] {-} c_List_Olist_OCons(A,c_List_Olist_ONil(B),B)=c_List_Olist_OCons(A,c_List_Olist_ONil(B),B).
% 0.38/0.57 Following clause subsumed by 963 during input processing: 0 [demod,958] {-} c_List_Olist_ONil(A)=c_List_Olist_ONil(A).
% 0.38/0.57 Following clause subsumed by 1162 during input processing: 0 [] {-} c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat).
% 0.38/0.57 Following clause subsumed by 963 during input processing: 0 [demod,931,992,1016,931,992] {-} c_HOL_Oone__class_Oone(tc_nat)=c_HOL_Oone__class_Oone(tc_nat).
% 0.38/0.57 Following clause subsumed by 963 during input processing: 0 [demod,1166] {-} c_List_Olist_ONil(A)=c_List_Olist_ONil(A).
% 0.38/0.57 Following clause subsumed by 963 during input processing: 0 [demod,958] {-} c_List_Olist_ONil(A)=c_List_Olist_ONil(A).
% 0.38/0.57 Following clause subsumed by 963 during input processing: 0 [demod,1201] {-} c_List_Oappend(A,c_List_Oappend(B,C,D),D)=c_List_Oappend(A,c_List_Oappend(B,C,D),D).
% 0.38/0.57 Following clause subsumed by 963 during input processing: 0 [demod,1201] {-} c_List_Oappend(A,c_List_Oappend(B,D,C),C)=c_List_Oappend(A,c_List_Oappend(B,D,C),C).
% 0.38/0.57 Following clause subsumed by 963 during input processing: 0 [demod,1201] {-} c_List_Oappend(A,c_List_Oappend(B,C,D),D)=c_List_Oappend(A,c_List_Oappend(B,C,D),D).
% 0.38/0.57 Following clause subsumed by 963 during input processing: 0 [demod,1214] {-} A=A.
% 0.38/0.57 Following clause subsumed by 963 during input processing: 0 [demod,1245] {-} A=A.
% 0.38/0.57 Following clause subsumed by 963 during input processing: 0 [demod,1270] {-} c_List_Omap(A,c_List_Olist_OCons(B,C,D),D,E)=c_List_Omap(A,c_List_Olist_OCons(B,C,D),D,E).
% 0.38/0.57 Following clause subsumed by 963 during input processing: 0 [demod,1270] {-} c_List_Omap(A,c_List_Olist_OCons(B,C,D),D,E)=c_List_Omap(A,c_List_Olist_OCons(B,C,D),D,E).
% 0.38/0.57 Following clause subsumed by 963 during input processing: 0 [demod,1013] {-} B=B.
% 0.38/0.57 Following clause subsumed by 1288 during input processing: 0 [] {-} hAPP(hAPP(hAPP(c_COMBC(A,B,C),D),E),F)=hAPP(hAPP(D,F),E).
% 0.38/0.58 Following clause subsumed by 963 during input processing: 0 [] {-} A=A.
% 0.38/0.58 Following clause subsumed by 995 during input processing: 0 [copy,916,flip.1,demod,931,997,931] {-} hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Oone__class_Oone(tc_nat)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Oone__class_Oone(tc_nat)),B)).
% 0.38/0.58 Following clause subsumed by 976 during input processing: 0 [copy,933,flip.1] {-} hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),c_HOL_Oone__class_Oone(tc_nat))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Oone__class_Oone(tc_nat)),A).
% 0.38/0.58 Following clause subsumed by 948 during input processing: 0 [copy,940,flip.1] {-} c_Nat_Osize__class_Osize(c_List_Olist_OCons(A,B,C),tc_List_Olist(C))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Oone__class_Oone(tc_nat)),c_Nat_Osize__class_Osize(B,tc_List_Olist(C))).
% 0.38/0.58 Following clause subsumed by 940 during input processing: 0 [copy,948,flip.1] {-} hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Oone__class_Oone(tc_nat)),c_Nat_Osize__class_Osize(A,tc_List_Olist(B)))=c_Nat_Osize__class_Osize(c_List_Olist_OCons(C,A,B),tc_List_Olist(B)).
% 0.38/0.58 Following clause subsumed by 951 during input processing: 0 [copy,951,flip.1] {-} hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),B)=hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),B),A).
% 0.38/0.58 Following clause subsumed by 963 during input processing: 0 [copy,963,flip.1] {-} A=A.
% 0.38/0.58 963 back subsumes 886.
% 0.38/0.58 963 back subsumes 834.
% 0.38/0.58 963 back subsumes 827.
% 0.38/0.58 963 back subsumes 826.
% 0.38/0.58 963 back subsumes 825.
% 0.38/0.58 963 back subsumes 824.
% 0.38/0.58 963 back subsumes 823.
% 0.38/0.58 963 back subsumes 802.
% 0.38/0.58 Following clause subsumed by 976 during input processing: 0 [copy,976,flip.1] {-} hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),A).
% 0.38/0.58 976 back subsumes 934.
% 0.38/0.58 976 back subsumes 933.
% 0.38/0.58 Following clause subsumed by 995 during input processing: 0 [copy,995,flip.1] {-} hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),C))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),C)).
% 0.38/0.58 Following clause subsumed by 1042 during input processing: 0 [copy,1042,flip.1] {-} hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),C),D))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),C),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),D)).
% 0.38/0.58 Following clause subsumed by 1132 during input processing: 0 [copy,1054,flip.1] {-} c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),A,B)=c_List_Olist_ONil(B).
% 0.38/0.58 Following clause subsumed by 1061 during input processing: 0 [copy,1061,flip.1] {-} hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),C),B).
% 0.38/0.58 Following clause subsumed by 1077 during input processing: 0 [copy,1077,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).
% 0.38/0.58 Following clause subsumed by 1100 during input processing: 0 [copy,1100,flip.1] {-} c_List_Oappend(c_List_Oreplicate(A,B,C),c_List_Oreplicate(D,B,C),C)=c_List_Oappend(c_List_Oreplicate(D,B,C),c_List_Oreplicate(A,B,C),C).
% 0.38/0.58 Following clause subsumed by 1018 during input processing: 0 [copy,1121,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,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Oone__class_Oone(tc_nat)),B),tc_nat).
% 0.38/0.58 Following clause subsumed by 1054 during input processing: 0 [copy,1132,flip.1] {-} c_List_Olist_ONil(A)=c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),B,A).
% 0.38/0.58 1162 back subsumes 1125.
% 0.38/0.58 1162 back subsumes 800.
% 0.38/0.58 Following clause subsumed by 963 during input processing: 0 [copy,1180,flip.1,demod,1210,1210] {-} c_HOL_Ozero__class_Ozero(tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.38/0.58 Following clause subsumed by 963 during input processing: 0 [copy,1181,flip.1,demod,1212,1212] {-} c_HOL_Ozero__class_Ozero(tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.38/0.58 Following clause subsumed by 1238 during input processing: 0 [copy,1238,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).
% 0.38/0.58 Following clause subsumed by 1272 during input processing: 0 [copy,1264,flip.1] {-} c_List_Olist_ONil(A)=c_List_Omap(B,c_List_Olist_ONil(C),C,A).
% 0.38/0.58 Following clause subsumed by 1264 during input processing: 0 [copy,1272,flip.1] {-} c_List_Omap(A,c_List_Olist_ONil(B),B,C)=c_List_Olist_ONil(C).
% 0.38/0.58 Following clause subsumed by 1342 during input processing: 0 [copy,1341,flip.1] {-} c_Nat_Osize__class_Osize(c_List_Olist_OCons(A,B,C),tc_List_Olist(C))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Nat_Osize__class_Osize(B,tc_List_Olist(C))),c_HOL_Oone__class_Oone(tc_nat)).
% 0.38/0.58 Following clause subsumed by 1341 during input processing: 0 [copy,1342,flip.1] {-} hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Nat_Osize__class_Osize(A,tc_List_Olist(B))),c_HOL_Oone__class_Oone(tc_nat))=c_Nat_Osize__class_Osize(c_List_Olist_OCons(C,A,B),tc_List_Olist(B)).
% 0.38/0.58 Following clause subsumed by 1404 during input processing: 0 [copy,1404,flip.1] {-} hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),C))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),C),B)).
% 0.38/0.58 Following clause subsumed by 946 during input processing: 0 [copy,1405,flip.1] {-} c_List_Otake(c_HOL_Oone__class_Oone(tc_nat),c_List_Olist_OCons(A,B,C),C)=c_List_Olist_OCons(A,c_List_Olist_ONil(C),C).
% 0.38/0.58 Following clause subsumed by 985 during input processing: 0 [copy,1406,flip.1] {-} c_Lambda_Oliftn(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Oone__class_Oone(tc_nat)),A),B,C)=hAPP(hAPP(c_Lambda_Olift,c_Lambda_Oliftn(A,B,C)),C).
% 0.38/0.58 Following clause subsumed by 987 during input processing: 0 [copy,1407,flip.1] {-} hAPP(hAPP(hAPP(c_Type_Oshift(A),hAPP(hAPP(hAPP(c_Type_Oshift(A),B),C),D)),c_HOL_Ozero__class_Ozero(tc_nat)),E)=hAPP(hAPP(hAPP(c_Type_Oshift(A),hAPP(hAPP(hAPP(c_Type_Oshift(A),B),c_HOL_Ozero__class_Ozero(tc_nat)),E)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Oone__class_Oone(tc_nat)),C)),D).
% 0.38/0.58 Following clause subsumed by 1006 during input processing: 0 [copy,1408,flip.1] {-} c_List_Orev(c_List_Otake(A,B,C),C)=c_List_Odrop(c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(B,tc_List_Olist(C)),A,tc_nat),c_List_Orev(B,C),C).
% 0.38/0.58 Following clause subsumed by 1010 during input processing: 0 [copy,1409,flip.1] {-} c_List_Orev(c_List_Odrop(A,B,C),C)=c_List_Otake(c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(B,tc_List_Olist(C)),A,tc_nat),c_List_Orev(B,C),C).
% 0.38/0.58 Following clause subsumed by 1017 during input processing: 0 [copy,1410,flip.1] {-} c_HOL_Ominus__class_Ominus(A,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B),tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.38/0.58 Following clause subsumed by 1018 during input processing: 0 [copy,1411,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,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),C),tc_nat).
% 0.38/0.58 1411 back subsumes 1121.
% 0.38/0.58 Following clause subsumed by 1019 during input processing: 0 [copy,1412,flip.1] {-} c_List_Orev(c_List_Olist_OCons(A,B,C),C)=c_List_Oappend(c_List_Orev(B,C),c_List_Olist_OCons(A,c_List_Olist_ONil(C),C),C).
% 0.38/0.58 Following clause subsumed by 1020 during input processing: 0 [copy,1413,flip.1] {-} c_List_Ofoldl(A,B,c_List_Olist_OCons(C,D,E),F,E)=c_List_Ofoldl(A,hAPP(hAPP(A,B),C),D,F,E).
% 0.38/0.58 Following clause subsumed by 1034 during input processing: 0 [copy,1414,flip.1] {-} hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Oone__class_Oone(tc_nat)),A)),B)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),B)).
% 0.38/0.58 Following clause subsumed by 1044 during input processing: 0 [copy,1415,flip.1] {-} c_Nat_Onat_Onat__case(A,B,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Oone__class_Oone(tc_nat)),C),D)=hAPP(B,C).
% 0.38/0.58 Following clause subsumed by 1109 during input processing: 0 [copy,1434,flip.1] {-} c_List_Otake(c_HOL_Ozero__class_Ozero(tc_nat),A,B)=c_List_Olist_ONil(B).
% 0.38/0.58 Following clause subsumed by 1140 during input processing: 0 [copy,1435,flip.1] {-} c_List_Olist__update(c_List_Olist_OCons(A,B,C),c_HOL_Ozero__class_Ozero(tc_nat),D,C)=c_List_Olist_OCons(D,B,C).
% 0.38/0.58 Following clause subsumed by 1158 during input processing: 0 [copy,1436,flip.1] {-} c_List_Otake(A,c_List_Oreplicate(B,C,D),D)=c_List_Oreplicate(hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_nat),A),B),C,D).
% 0.38/0.58 Following clause subsumed by 1159 during input processing: 0 [copy,1437,flip.1] {-} c_List_Olist__update(c_List_Oappend(A,c_List_Olist_OCons(B,C,D),D),c_Nat_Osize__class_Osize(A,tc_List_Olist(D)),E,D)=c_List_Oappend(A,c_List_Olist_OCons(E,C,D),D).
% 0.38/0.58 Following clause subsumed by 1164 during input processing: 0 [copy,1438,flip.1] {-} c_List_Oappend(c_List_Oreplicate(A,B,C),c_List_Olist_OCons(B,c_List_Olist_ONil(C),C),C)=c_List_Olist_OCons(B,c_List_Oreplicate(A,B,C),C).
% 0.38/0.58 Following clause subsumed by 1176 during input processing: 0 [copy,1440,flip.1] {-} c_List_Ofoldl(A,B,c_List_Oappend(C,D,E),F,E)=c_List_Ofoldl(A,c_List_Ofoldl(A,B,C,F,E),D,F,E).
% 0.38/0.58 Following clause subsumed by 1189 during input processing: 0 [copy,1441,flip.1] {-} c_List_Oappend(c_List_Oreplicate(A,B,C),c_List_Olist_OCons(B,D,C),C)=c_List_Oappend(c_List_Olist_OCons(B,c_List_Oreplicate(A,B,C),C),D,C).
% 0.38/0.58 Following clause subsumed by 1193 during input processing: 0 [copy,1442,flip.1] {-} c_List_Olist__update(c_List_Olist_OCons(A,B,C),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Oone__class_Oone(tc_nat)),D),E,C)=c_List_Olist_OCons(A,c_List_Olist__update(B,D,E,C),C).
% 0.38/0.58 Following clause subsumed by 1204 during input processing: 0 [copy,1443,flip.1] {-} hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)),C)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),C)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),B),C)).
% 0.38/0.58 Following clause subsumed by 1221 during input processing: 0 [copy,1445,flip.1] {-} c_HOL_Ominus__class_Ominus(A,A,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.38/0.58 Following clause subsumed by 1237 during input processing: 0 [copy,1446,flip.1] {-} c_Nat_Osize__class_Osize(A,tc_String_Ochar)=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.38/0.58 Following clause subsumed by 1256 during input processing: 0 [copy,1447,flip.1] {-} c_List_Omap(A,c_List_Oreplicate(B,C,D),D,E)=c_List_Oreplicate(B,hAPP(A,C),E).
% 0.38/0.58 Following clause subsumed by 1257 during input processing: 0 [copy,1448,flip.1] {-} c_Nat_Osize__class_Osize(c_List_Omap(A,B,C,D),tc_List_Olist(D))=c_Nat_Osize__class_Osize(B,tc_List_Olist(C)).
% 0.38/0.58 Following clause subsumed by 1271 during input processing: 0 [copy,1449,flip.1] {-} c_List_Omap(A,c_List_Olist__update(B,C,D,E),E,F)=c_List_Olist__update(c_List_Omap(A,B,E,F),C,hAPP(A,D),F).
% 0.38/0.58 Following clause subsumed by 1273 during input processing: 0 [copy,1450,flip.1] {-} hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(c_Lambda_OdB_OApp,A),B)),C),D)=hAPP(hAPP(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,A),C),D)),hAPP(hAPP(hAPP(c_Lambda_Osubst,B),C),D)).
% 0.38/0.58 Following clause subsumed by 1280 during input processing: 0 [copy,1451,flip.1] {-} hAPP(hAPP(c_Lambda_Olift,hAPP(hAPP(c_Lambda_OdB_OApp,A),B)),C)=hAPP(hAPP(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_Olift,A),C)),hAPP(hAPP(c_Lambda_Olift,B),C)).
% 0.38/0.58 Following clause subsumed by 1286 during input processing: 0 [copy,1454,flip.1] {-} hAPP(hAPP(c_Lambda_Olift,c_List_Ofoldl(c_Lambda_OdB_OApp,A,B,tc_Lambda_OdB,tc_Lambda_OdB)),C)=c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_Olift,A),C),c_List_Omap(hAPP(hAPP(c_COMBC(tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_Lambda_Olift),C),B,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB).
% 0.38/0.58 Following clause subsumed by 1287 during input processing: 0 [copy,1455,flip.1] {-} hAPP(hAPP(hAPP(c_Lambda_Osubst,c_List_Ofoldl(c_Lambda_OdB_OApp,A,B,tc_Lambda_OdB,tc_Lambda_OdB)),C),D)=c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,A),C),D),c_List_Omap(hAPP(hAPP(c_COMBC(tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),hAPP(hAPP(c_COMBC(tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),c_Lambda_Osubst),C)),D),B,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB).
% 0.38/0.58 Following clause subsumed by 1288 during input processing: 0 [copy,1456,flip.1] {-} hAPP(hAPP(hAPP(c_COMBC(A,B,C),D),E),F)=hAPP(hAPP(D,F),E).
% 0.38/0.58 Following clause subsumed by 1355 during input processing: 0 [copy,1457,flip.1] {-} hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Oone__class_Oone(tc_nat)),A)!=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.38/0.58 Following clause subsumed by 1433 during input processing: 0 [copy,1458,flip.1] {-} c_List_Oappend(c_List_Oreplicate(c_HOL_Oone__class_Oone(tc_nat),A,B),c_List_Oreplicate(C,A,B),B)=c_List_Olist_OCons(A,c_List_Oreplicate(C,A,B),B).
% 0.38/0.58 Following clause subsumed by 1439 during input processing: 0 [copy,1459,flip.1] {-} c_List_Oappend(c_List_Olist_OCons(A,c_List_Olist_ONil(B),B),C,B)=c_List_Olist_OCons(A,C,B).
% 0.38/0.58
% 0.38/0.58 ======= end of input processing =======
% 0.77/1.02
% 0.77/1.02
% 0.77/1.02
% 0.77/1.02 Aborting on detection of an error:
% 0.77/1.02
% 0.77/1.02 Too many clauses (whew!).
% 0.77/1.02
%------------------------------------------------------------------------------