TSTP Solution File: LCL813-1 by SOS---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : LCL813-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n010.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 14:33:09 EDT 2022
% Result : Unknown 0.52s 0.76s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : LCL813-1 : TPTP v8.1.0. Released v4.1.0.
% 0.12/0.12 % Command : sos-script %s
% 0.12/0.33 % Computer : n010.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun Jul 3 18:18:47 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.42 ----- Otter 3.2, August 2001 -----
% 0.18/0.42 The process was started by sandbox on n010.cluster.edu,
% 0.18/0.42 Sun Jul 3 18:18:48 2022
% 0.18/0.42 The command was "./sos". The process ID is 21322.
% 0.18/0.42
% 0.18/0.42 set(prolog_style_variables).
% 0.18/0.42 set(auto).
% 0.18/0.42 dependent: set(auto1).
% 0.18/0.42 dependent: set(process_input).
% 0.18/0.42 dependent: clear(print_kept).
% 0.18/0.42 dependent: clear(print_new_demod).
% 0.18/0.42 dependent: clear(print_back_demod).
% 0.18/0.42 dependent: clear(print_back_sub).
% 0.18/0.42 dependent: set(control_memory).
% 0.18/0.42 dependent: assign(max_mem, 12000).
% 0.18/0.42 dependent: assign(pick_given_ratio, 4).
% 0.18/0.42 dependent: assign(stats_level, 1).
% 0.18/0.42 dependent: assign(pick_semantic_ratio, 3).
% 0.18/0.42 dependent: assign(sos_limit, 5000).
% 0.18/0.42 dependent: assign(max_weight, 60).
% 0.18/0.42 clear(print_given).
% 0.18/0.42
% 0.18/0.42 list(usable).
% 0.18/0.42
% 0.18/0.42 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=6.
% 0.18/0.42
% 0.18/0.42 This ia a non-Horn set with equality. The strategy will be
% 0.18/0.42 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.18/0.42 unit deletion, with positive clauses in sos and nonpositive
% 0.18/0.42 clauses in usable.
% 0.18/0.42
% 0.18/0.42 dependent: set(knuth_bendix).
% 0.18/0.42 dependent: set(para_from).
% 0.18/0.42 dependent: set(para_into).
% 0.18/0.42 dependent: clear(para_from_right).
% 0.18/0.42 dependent: clear(para_into_right).
% 0.18/0.42 dependent: set(para_from_vars).
% 0.18/0.42 dependent: set(eq_units_both_ways).
% 0.18/0.42 dependent: set(dynamic_demod_all).
% 0.18/0.42 dependent: set(dynamic_demod).
% 0.18/0.42 dependent: set(order_eq).
% 0.18/0.42 dependent: set(back_demod).
% 0.18/0.42 dependent: set(lrpo).
% 0.18/0.42 dependent: set(hyper_res).
% 0.18/0.42 dependent: set(unit_deletion).
% 0.18/0.42 dependent: set(factor).
% 0.18/0.42
% 0.18/0.42 ------------> process usable:
% 0.18/0.42 Following clause subsumed by 11 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).
% 0.18/0.42 Following clause subsumed by 11 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).
% 0.18/0.42 Following clause subsumed by 5 during input processing: 0 [flip.2] {-} -class_Ring__and__Field_Oring(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),c_HOL_Otimes__class_Otimes(E,C,A)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(B,E,A),C,A)),D))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),c_HOL_Otimes__class_Otimes(B,C,A)),D).
% 0.18/0.42 Following clause subsumed by 28 during input processing: 0 [] {-} -class_Ring__and__Field_Oidom(A)| -class_Int_Onumber__ring(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),c_HOL_Otimes__class_Otimes(B,C,A)),c_HOL_Otimes__class_Otimes(B,D,A))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),c_HOL_Otimes__class_Otimes(B,D,A)),c_HOL_Otimes__class_Otimes(B,C,A)).
% 0.18/0.42 Following clause subsumed by 36 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)).
% 0.18/0.42 Following clause subsumed by 41 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).
% 0.18/0.42 Following clause subsumed by 44 during input processing: 0 [] {-} -c_lessequals(A,A,tc_nat)|c_HOL_Oord__class_Oless(A,c_Suc(A),tc_nat).
% 0.18/0.42 Following clause subsumed by 47 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).
% 0.18/0.42 Following clause subsumed by 58 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)).
% 0.18/0.42 Following clause subsumed by 58 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)).
% 0.18/0.42 Following clause subsumed by 78 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).
% 0.18/0.42 Following clause subsumed by 78 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).
% 0.18/0.42 Following clause subsumed by 90 during input processing: 0 [] {-} c_lessequals(c_Suc(A),B,tc_nat)| -c_HOL_Oord__class_Oless(A,B,tc_nat).
% 0.18/0.42 Following clause subsumed by 91 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(A,B,tc_nat)| -c_lessequals(c_Suc(A),B,tc_nat).
% 0.18/0.42 Following clause subsumed by 92 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).
% 0.18/0.42 Following clause subsumed by 93 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).
% 0.18/0.42 Following clause subsumed by 102 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).
% 0.18/0.42 Following clause subsumed by 124 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).
% 0.18/0.42 Following clause subsumed by 125 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).
% 0.18/0.42 Following clause subsumed by 122 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).
% 0.18/0.42 Following clause subsumed by 123 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).
% 0.18/0.42 Following clause subsumed by 128 during input processing: 0 [] {-} c_Suc(A)!=c_Suc(B)|A=B.
% 0.18/0.42 Following clause subsumed by 121 during input processing: 0 [] {-} -c_lessequals(A,B,tc_nat)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(A,C,tc_nat)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(B,A,tc_nat),C,tc_nat)),D))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(B,C,tc_nat)),D).
% 0.18/0.42 Following clause subsumed by 70 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).
% 0.18/0.42 Following clause subsumed by 71 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).
% 0.18/0.42 Following clause subsumed by 159 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,B,A)|c_lessequals(B,B,A).
% 0.18/0.42 Following clause subsumed by 159 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_lessequals(B,C,A)|c_HOL_Oord__class_Oless(C,B,A).
% 0.18/0.42 Following clause subsumed by 161 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -c_lessequals(B,C,A)| -c_HOL_Oord__class_Oless(C,B,A).
% 0.18/0.42 Following clause subsumed by 159 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,C,A)|c_lessequals(C,B,A).
% 0.18/0.42 Following clause subsumed by 169 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).
% 0.18/0.42 Following clause subsumed by 182 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).
% 0.18/0.42 Following clause subsumed by 191 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).
% 0.18/0.42 Following clause subsumed by 192 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).
% 0.18/0.42 Following clause subsumed by 206 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))).
% 0.18/0.42 Following clause subsumed by 207 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).
% 0.18/0.42 Following clause subsumed by 208 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).
% 0.18/0.42 Following clause subsumed by 217 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).
% 0.18/0.42 Following clause subsumed by 218 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).
% 0.18/0.42 Following clause subsumed by 220 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).
% 0.18/0.42 Following clause subsumed by 221 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).
% 0.18/0.42 Following clause subsumed by 150 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).
% 0.18/0.42 Following clause subsumed by 219 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).
% 0.18/0.42 Following clause subsumed by 241 during input processing: 0 [] {-} -class_Ring__and__Field_Oidom(A)| -class_Int_Onumber__ring(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),c_HOL_Otimes__class_Otimes(B,C,A)),c_HOL_Otimes__class_Otimes(D,E,A))!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),c_HOL_Otimes__class_Otimes(B,E,A)),c_HOL_Otimes__class_Otimes(D,C,A))|C=E|B=D.
% 0.18/0.42 Following clause subsumed by 242 during input processing: 0 [] {-} hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(A,B,tc_nat)),c_HOL_Otimes__class_Otimes(C,D,tc_nat))!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(A,D,tc_nat)),c_HOL_Otimes__class_Otimes(C,B,tc_nat))|B=D|A=C.
% 0.18/0.42 Following clause subsumed by 245 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).
% 0.18/0.42 Following clause subsumed by 260 during input processing: 0 [] {-} -c_HOL_Oord__class_Oless(A,A,tc_nat).
% 0.18/0.42 Following clause subsumed by 270 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.
% 0.18/0.42 Following clause subsumed by 272 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C| -c_lessequals(C,B,A)| -c_lessequals(B,C,A).
% 0.18/0.42 Following clause subsumed by 272 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C| -c_lessequals(B,C,A)| -c_lessequals(C,B,A).
% 0.18/0.42 Following clause subsumed by 270 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).
% 0.18/0.42 Following clause subsumed by 270 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).
% 0.18/0.42 Following clause subsumed by 280 during input processing: 0 [] {-} c_lessequals(A,B,tc_nat)| -c_HOL_Oord__class_Oless(A,B,tc_nat).
% 0.18/0.42 Following clause subsumed by 218 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).
% 0.18/0.43 Following clause subsumed by 295 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.
% 0.18/0.43 Following clause subsumed by 303 during input processing: 0 [] {-} c_List_Olist_OCons(A,B,C)!=c_List_Olist_ONil(C).
% 0.18/0.43 Following clause subsumed by 314 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).
% 0.18/0.43 Following clause subsumed by 312 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).
% 0.18/0.43 Following clause subsumed by 314 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).
% 0.18/0.43 Following clause subsumed by 309 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).
% 0.18/0.43 Following clause subsumed by 309 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).
% 0.18/0.43 Following clause subsumed by 319 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).
% 0.18/0.43 Following clause subsumed by 309 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).
% 0.18/0.43 Following clause subsumed by 310 during input processing: 0 [] {-} hAPP(hAPP(A,B),C)=C| -c_Groebner__Basis_Ogb__semiring(D,A,E,F,B,G).
% 0.18/0.43 Following clause subsumed by 311 during input processing: 0 [] {-} hAPP(hAPP(A,B),C)=B| -c_Groebner__Basis_Ogb__semiring(D,A,E,B,F,G).
% 0.18/0.43 Following clause subsumed by 307 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).
% 0.18/0.43 Following clause subsumed by 315 during input processing: 0 [] {-} hAPP(hAPP(A,B),C)=C| -c_Groebner__Basis_Ogb__semiring(A,D,E,B,F,G).
% 0.18/0.43 Following clause subsumed by 330 during input processing: 0 [] {-} -hBOOL(hAPP(A,c_Type_Otype_Otype__case(B,C,c_Type_Otype_OAtom(D),t_a)))|hBOOL(hAPP(A,hAPP(B,D))).
% 0.18/0.43 Following clause subsumed by 355 during input processing: 0 [flip.1] {-} c_List_Olist_OCons(B,A,C)!=A.
% 0.18/0.43 Following clause subsumed by 359 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).
% 0.18/0.43 Following clause subsumed by 373 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).
% 0.18/0.43 Following clause subsumed by 377 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).
% 0.18/0.43 Following clause subsumed by 249 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).
% 0.18/0.43 Following clause subsumed by 251 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).
% 0.18/0.43 Following clause subsumed by 41 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).
% 0.18/0.43 Following clause subsumed by 394 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).
% 0.18/0.43 Following clause subsumed by 214 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).
% 0.18/0.43 Following clause subsumed by 405 during input processing: 0 [] {-} -hBOOL(hAPP(A,c_Lambda_OdB_OdB__case(B,C,D,c_Lambda_OdB_OAbs(E),t_a)))|hBOOL(hAPP(A,hAPP(D,E))).
% 0.18/0.43 Following clause subsumed by 417 during input processing: 0 [flip.1] {-} c_List_Oappend(A,B,C)!=A|B=c_List_Olist_ONil(C).
% 0.18/0.43 Following clause subsumed by 418 during input processing: 0 [flip.1] {-} c_List_Oappend(B,A,C)!=A|B=c_List_Olist_ONil(C).
% 0.18/0.43 Following clause subsumed by 425 during input processing: 0 [flip.1] {-} c_Suc(A)!=A.
% 0.18/0.43 Following clause subsumed by 358 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).
% 0.18/0.43 Following clause subsumed by 378 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).
% 0.18/0.43 Following clause subsumed by 359 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).
% 0.18/0.43 Following clause subsumed by 444 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).
% 0.18/0.43 Following clause subsumed by 446 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).
% 0.18/0.43 Following clause subsumed by 444 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).
% 0.18/0.43 Following clause subsumed by 448 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).
% 0.18/0.43 Following clause subsumed by 462 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).
% 0.18/0.43 Following clause subsumed by 473 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).
% 0.18/0.43 Following clause subsumed by 93 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).
% 0.18/0.43 Following clause subsumed by 92 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).
% 0.18/0.43 Following clause subsumed by 481 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).
% 0.18/0.43 Following clause subsumed by 487 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).
% 0.18/0.43 Following clause subsumed by 491 during input processing: 0 [] {-} -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ominus__class_Ominus(B,B,A)=c_HOL_Ozero__class_Ozero(A).
% 0.18/0.43 Following clause subsumed by 500 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.
% 0.18/0.43 Following clause subsumed by 260 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).
% 0.18/0.43 Following clause subsumed by 508 during input processing: 0 [] {-} c_Suc(A)!=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.18/0.43 Following clause subsumed by 518 during input processing: 0 [] {-} -hBOOL(hAPP(A,c_Lambda_OdB_OdB__case(B,C,D,hAPP(hAPP(c_Lambda_OdB_OApp,E),F),t_a)))|hBOOL(hAPP(A,hAPP(hAPP(C,E),F))).
% 0.18/0.43 Following clause subsumed by 531 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).
% 0.18/0.43 Following clause subsumed by 530 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).
% 0.18/0.43 Following clause subsumed by 565 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_lessequals(B,C,A)|C=B.
% 0.18/0.43 Following clause subsumed by 566 during input processing: 0 [] {-} A=B|c_HOL_Oord__class_Oless(A,B,tc_nat)| -c_lessequals(A,B,tc_nat).
% 0.18/0.43 Following clause subsumed by 566 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(A,B,tc_nat)|A=B| -c_lessequals(A,B,tc_nat).
% 0.18/0.43 Following clause subsumed by 567 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)|B=C| -c_lessequals(B,C,A).
% 0.18/0.43 Following clause subsumed by 567 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)|B=C| -c_lessequals(B,C,A).
% 0.18/0.43 Following clause subsumed by 567 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_lessequals(B,C,A)|B=C.
% 0.18/0.43 Following clause subsumed by 568 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|B=C|c_HOL_Oord__class_Oless(B,C,A)| -c_lessequals(B,C,A).
% 0.18/0.43 Following clause subsumed by 573 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).
% 0.18/0.43 Following clause subsumed by 579 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).
% 0.18/0.43 Following clause subsumed by 579 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).
% 0.18/0.43 Following clause subsumed by 460 during input processing: 0 [flip.2] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),c_HOL_Otimes__class_Otimes(B,D,A)),c_HOL_Otimes__class_Otimes(C,D,A))=c_HOL_Otimes__class_Otimes(hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C),D,A).
% 0.18/0.43 Following clause subsumed by 588 during input processing: 0 [] {-} -class_Orderings_Opreorder(A)| -c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(C,B,A).
% 0.18/0.43 Following clause subsumed by 590 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).
% 0.18/0.43 Following clause subsumed by 592 during input processing: 0 [] {-} hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)!=A|B=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.18/0.44 Following clause subsumed by 508 during input processing: 0 [flip.1] {-} c_Suc(A)!=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.18/0.44 Following clause subsumed by 508 during input processing: 0 [flip.1] {-} c_Suc(A)!=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.18/0.44 Following clause subsumed by 600 during input processing: 0 [] {-} -c_HOL_Oord__class_Oless(A,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat).
% 0.18/0.44 Following clause subsumed by 612 during input processing: 0 [] {-} -hBOOL(hAPP(A,c_Lambda_OdB_OdB__case(B,C,D,c_Lambda_OdB_OVar(E),t_a)))|hBOOL(hAPP(A,hAPP(B,E))).
% 0.18/0.44 Following clause subsumed by 627 during input processing: 0 [] {-} -hBOOL(hAPP(A,c_Type_Otype_Otype__case(B,C,hAPP(hAPP(c_Type_Otype_OFun,D),E),t_a)))|hBOOL(hAPP(A,hAPP(hAPP(C,D),E))).
% 0.18/0.44 161 back subsumes 160.
% 0.18/0.44 Following clause subsumed by 303 during input processing: 0 [copy,286,flip.1] {-} c_List_Olist_OCons(A,B,C)!=c_List_Olist_ONil(C).
% 0.18/0.44 Following clause subsumed by 286 during input processing: 0 [copy,303,flip.1] {-} c_List_Olist_ONil(A)!=c_List_Olist_OCons(B,C,A).
% 0.18/0.44 378 back subsumes 292.
% 0.18/0.44 Following clause subsumed by 529 during input processing: 0 [copy,523,flip.1] {-} hAPP(hAPP(c_Lambda_OdB_OApp,A),B)!=c_Lambda_OdB_OAbs(C).
% 0.18/0.44 Following clause subsumed by 523 during input processing: 0 [copy,529,flip.1] {-} c_Lambda_OdB_OAbs(A)!=hAPP(hAPP(c_Lambda_OdB_OApp,B),C).
% 0.18/0.44 531 back subsumes 335.
% 0.18/0.44 531 back subsumes 183.
% 0.18/0.44 579 back subsumes 253.
% 0.18/0.44 580 back subsumes 254.
% 0.18/0.44 Following clause subsumed by 615 during input processing: 0 [copy,611,flip.1] {-} c_Lambda_OdB_OVar(A)!=c_Lambda_OdB_OAbs(B).
% 0.18/0.44 Following clause subsumed by 616 during input processing: 0 [copy,614,flip.1] {-} hAPP(hAPP(c_Lambda_OdB_OApp,A),B)!=c_Lambda_OdB_OVar(C).
% 0.18/0.44 Following clause subsumed by 611 during input processing: 0 [copy,615,flip.1] {-} c_Lambda_OdB_OAbs(A)!=c_Lambda_OdB_OVar(B).
% 0.18/0.44 Following clause subsumed by 614 during input processing: 0 [copy,616,flip.1] {-} c_Lambda_OdB_OVar(A)!=hAPP(hAPP(c_Lambda_OdB_OApp,B),C).
% 0.18/0.44 Following clause subsumed by 628 during input processing: 0 [copy,622,flip.1] {-} c_Type_Otype_OAtom(A)!=hAPP(hAPP(c_Type_Otype_OFun,B),C).
% 0.18/0.44 Following clause subsumed by 622 during input processing: 0 [copy,628,flip.1] {-} hAPP(hAPP(c_Type_Otype_OFun,A),B)!=c_Type_Otype_OAtom(C).
% 0.18/0.44 Following clause subsumed by 228 during input processing: 0 [copy,688,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).
% 0.18/0.44 741 back subsumes 740.
% 0.18/0.44 Following clause subsumed by 461 during input processing: 0 [copy,745,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).
% 0.18/0.44 753 back subsumes 659.
% 0.18/0.44
% 0.18/0.44 ------------> process sos:
% 0.18/0.44 Following clause subsumed by 783 during input processing: 0 [] {-} hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(A,B,tc_nat)),c_HOL_Otimes__class_Otimes(A,C,tc_nat))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(A,C,tc_nat)),c_HOL_Otimes__class_Otimes(A,B,tc_nat)).
% 0.18/0.44 Following clause subsumed by 801 during input processing: 0 [demod,777] {-} c_HOL_Oord__class_Oless(A,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Suc(A)),B),tc_nat).
% 0.18/0.44 Following clause subsumed by 810 during input processing: 0 [demod,808] {-} B=B.
% 0.18/0.44 Following clause subsumed by 810 during input processing: 0 [demod,808] {-} A=A.
% 0.18/0.44 Following clause subsumed by 836 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(A),tc_nat).
% 0.18/0.44 Following clause subsumed by 810 during input processing: 0 [demod,846] {-} c_List_Oappend(c_List_Olist_OCons(A,B,C),D,C)=c_List_Oappend(c_List_Olist_OCons(A,B,C),D,C).
% 0.18/0.44 Following clause subsumed by 810 during input processing: 0 [demod,781] {-} c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)).
% 0.18/0.44 Following clause subsumed by 864 during input processing: 0 [] {-} c_lessequals(A,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B),tc_nat).
% 0.18/0.45 Following clause subsumed by 868 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).
% 0.18/0.45 Following clause subsumed by 868 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(A,B,tc_nat)|c_HOL_Oord__class_Oless(B,A,tc_nat)|B=A.
% 0.18/0.45 Following clause subsumed by 810 during input processing: 0 [demod,846] {-} c_List_Oappend(c_List_Olist_OCons(A,B,D),C,D)=c_List_Oappend(c_List_Olist_OCons(A,B,D),C,D).
% 0.18/0.45 Following clause subsumed by 810 during input processing: 0 [demod,846] {-} c_List_Oappend(c_List_Olist_OCons(A,B,D),C,D)=c_List_Oappend(c_List_Olist_OCons(A,B,D),C,D).
% 0.18/0.45 Following clause subsumed by 892 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(A,c_Suc(A),tc_nat).
% 0.18/0.45 Following clause subsumed by 892 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(A,c_Suc(A),tc_nat).
% 0.18/0.45 Following clause subsumed by 810 during input processing: 0 [demod,808] {-} c_List_Olist_OCons(B,C,A)=c_List_Olist_OCons(B,C,A).
% 0.18/0.45 Following clause subsumed by 900 during input processing: 0 [] {-} c_lessequals(A,A,tc_nat).
% 0.18/0.45 Following clause subsumed by 810 during input processing: 0 [demod,808] {-} c_List_Olist_OCons(A,B,C)=c_List_Olist_OCons(A,B,C).
% 0.18/0.45 Following clause subsumed by 810 during input processing: 0 [demod,805] {-} c_List_Olist_ONil(A)=c_List_Olist_ONil(A).
% 0.18/0.45 Following clause subsumed by 900 during input processing: 0 [] {-} c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat).
% 0.18/0.45 Following clause subsumed by 810 during input processing: 0 [demod,825] {-} c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)).
% 0.18/0.45 Following clause subsumed by 810 during input processing: 0 [demod,805] {-} c_List_Olist_ONil(A)=c_List_Olist_ONil(A).
% 0.18/0.45 Following clause subsumed by 810 during input processing: 0 [demod,929] {-} c_List_Oappend(A,c_List_Oappend(B,C,D),D)=c_List_Oappend(A,c_List_Oappend(B,C,D),D).
% 0.18/0.45 Following clause subsumed by 810 during input processing: 0 [demod,929] {-} c_List_Oappend(A,c_List_Oappend(B,D,C),C)=c_List_Oappend(A,c_List_Oappend(B,D,C),C).
% 0.18/0.45 Following clause subsumed by 810 during input processing: 0 [demod,929] {-} c_List_Oappend(A,c_List_Oappend(B,C,D),D)=c_List_Oappend(A,c_List_Oappend(B,C,D),D).
% 0.18/0.45 Following clause subsumed by 810 during input processing: 0 [demod,940] {-} A=A.
% 0.18/0.45 Following clause subsumed by 810 during input processing: 0 [demod,971] {-} A=A.
% 0.18/0.45 Following clause subsumed by 810 during input processing: 0 [demod,822] {-} B=B.
% 0.18/0.45 Following clause subsumed by 991 during input processing: 0 [demod,986,1003] {-} c_Type_Otyping(v_e____,v_u____,v_T____).
% 0.18/0.45 Following clause subsumed by 810 during input processing: 0 [] {-} A=A.
% 0.18/0.45 Following clause subsumed by 829 during input processing: 0 [copy,779,flip.1] {-} hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Suc(A)),B)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),c_Suc(B)).
% 0.18/0.45 Following clause subsumed by 790 during input processing: 0 [copy,790,flip.1] {-} c_HOL_Otimes__class_Otimes(A,B,tc_nat)=c_HOL_Otimes__class_Otimes(B,A,tc_nat).
% 0.18/0.45 Following clause subsumed by 793 during input processing: 0 [copy,793,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)).
% 0.18/0.45 Following clause subsumed by 810 during input processing: 0 [copy,810,flip.1] {-} A=A.
% 0.18/0.45 810 back subsumes 769.
% 0.18/0.45 810 back subsumes 750.
% 0.18/0.45 810 back subsumes 733.
% 0.18/0.45 810 back subsumes 699.
% 0.18/0.45 810 back subsumes 696.
% 0.18/0.45 810 back subsumes 695.
% 0.18/0.45 810 back subsumes 694.
% 0.18/0.45 810 back subsumes 693.
% 0.18/0.45 810 back subsumes 680.
% 0.18/0.45 Following clause subsumed by 814 during input processing: 0 [copy,814,flip.1] {-} hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),A).
% 0.18/0.45 814 back subsumes 783.
% 0.18/0.45 Following clause subsumed by 779 during input processing: 0 [copy,829,flip.1] {-} hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),c_Suc(B))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Suc(A)),B).
% 0.18/0.45 836 back subsumes 819.
% 0.18/0.45 Following clause subsumed by 851 during input processing: 0 [copy,851,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).
% 0.18/0.45 Following clause subsumed by 882 during input processing: 0 [copy,862,flip.1] {-} c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),A,B)=c_List_Olist_ONil(B).
% 0.18/0.45 Following clause subsumed by 869 during input processing: 0 [copy,869,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).
% 0.18/0.45 Following clause subsumed by 862 during input processing: 0 [copy,882,flip.1] {-} c_List_Olist_ONil(A)=c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),B,A).
% 0.18/0.45 900 back subsumes 878.
% 0.18/0.45 900 back subsumes 678.
% 0.18/0.45 Following clause subsumed by 810 during input processing: 0 [copy,910,flip.1,demod,914,914] {-} c_HOL_Ozero__class_Ozero(tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.18/0.45 Following clause subsumed by 810 during input processing: 0 [copy,911,flip.1,demod,916,916] {-} c_HOL_Ozero__class_Ozero(tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.18/0.45 Following clause subsumed by 964 during input processing: 0 [copy,964,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).
% 0.18/0.45 Following clause subsumed by 782 during input processing: 0 [copy,1043,flip.1] {-} c_Lambda_OdB_OdB__case(A,B,C,c_Lambda_OdB_OAbs(D),E)=hAPP(C,D).
% 0.18/0.45 Following clause subsumed by 1044 during input processing: 0 [copy,1044,flip.1] {-} c_HOL_Otimes__class_Otimes(A,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),C),tc_nat)=c_HOL_Otimes__class_Otimes(A,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),C),B),tc_nat).
% 0.18/0.45 Following clause subsumed by 792 during input processing: 0 [copy,1045,flip.1] {-} c_Lambda_OdB_OdB__case(A,B,C,hAPP(hAPP(c_Lambda_OdB_OApp,D),E),F)=hAPP(hAPP(B,D),E).
% 0.18/0.45 Following clause subsumed by 826 during input processing: 0 [copy,1046,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).
% 0.18/0.45 Following clause subsumed by 827 during input processing: 0 [copy,1047,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).
% 0.18/0.45 Following clause subsumed by 828 during input processing: 0 [copy,1048,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).
% 0.18/0.45 Following clause subsumed by 852 during input processing: 0 [copy,1062,flip.1] {-} c_HOL_Otimes__class_Otimes(A,c_Suc(B),tc_nat)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),c_HOL_Otimes__class_Otimes(A,B,tc_nat)).
% 0.18/0.45 Following clause subsumed by 853 during input processing: 0 [copy,1063,flip.1] {-} c_HOL_Otimes__class_Otimes(c_Suc(A),B,tc_nat)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),c_HOL_Otimes__class_Otimes(A,B,tc_nat)).
% 0.18/0.45 Following clause subsumed by 856 during input processing: 0 [copy,1064,flip.1] {-} c_Nat_Onat_Onat__case(A,B,c_Suc(C),D)=hAPP(B,C).
% 0.18/0.45 Following clause subsumed by 861 during input processing: 0 [copy,1065,flip.1] {-} c_Type_Otype_Otype__rec(A,B,c_Type_Otype_OAtom(C),D)=hAPP(A,C).
% 0.18/0.45 Following clause subsumed by 876 during input processing: 0 [copy,1067,flip.1] {-} c_Nat_Osize__class_Osize(c_Lambda_OdB_OAbs(A),tc_Lambda_OdB)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Nat_Osize__class_Osize(A,tc_Lambda_OdB)),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.18/0.45 Following clause subsumed by 899 during input processing: 0 [copy,1068,flip.1] {-} c_Lambda_OdB_OdB__rec(A,B,C,c_Lambda_OdB_OAbs(D),E)=hAPP(hAPP(C,D),c_Lambda_OdB_OdB__rec(A,B,C,D,E)).
% 0.18/0.45 Following clause subsumed by 902 during input processing: 0 [copy,1069,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).
% 0.18/0.45 Following clause subsumed by 907 during input processing: 0 [copy,1070,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).
% 0.18/0.45 Following clause subsumed by 908 during input processing: 0 [copy,1071,flip.1] {-} c_Type_Otype_Otype__case(A,B,c_Type_Otype_OAtom(C),D)=hAPP(A,C).
% 0.18/0.45 Following clause subsumed by 920 during input processing: 0 [copy,1073,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).
% 0.18/0.45 Following clause subsumed by 926 during input processing: 0 [copy,1074,flip.1] {-} c_Lambda_OdB_OdB__size(hAPP(hAPP(c_Lambda_OdB_OApp,A),B))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Lambda_OdB_OdB__size(A)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Lambda_OdB_OdB__size(B)),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)))).
% 0.18/0.45 Following clause subsumed by 927 during input processing: 0 [copy,1075,flip.1] {-} c_Lambda_OdB_OdB__size(c_Lambda_OdB_OAbs(A))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Lambda_OdB_OdB__size(A)),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.18/0.45 Following clause subsumed by 947 during input processing: 0 [copy,1076,flip.1] {-} c_HOL_Ominus__class_Ominus(A,A,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.18/0.45 Following clause subsumed by 963 during input processing: 0 [copy,1077,flip.1] {-} c_Nat_Osize__class_Osize(A,tc_String_Ochar)=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.18/0.45 Following clause subsumed by 974 during input processing: 0 [copy,1078,flip.1] {-} c_Lambda_OdB_OdB__rec(A,B,C,c_Lambda_OdB_OVar(D),E)=hAPP(A,D).
% 0.18/0.45 Following clause subsumed by 976 during input processing: 0 [copy,1079,flip.1] {-} c_Lambda_OdB_OdB__case(A,B,C,c_Lambda_OdB_OVar(D),E)=hAPP(A,D).
% 0.18/0.45 Following clause subsumed by 983 during input processing: 0 [copy,1080,flip.1] {-} c_Type_Otype_Otype__case(A,B,hAPP(hAPP(c_Type_Otype_OFun,C),D),E)=hAPP(hAPP(B,C),D).
% 0.18/0.45 Following clause subsumed by 998 during input processing: 0 [copy,1082,flip.1] {-} c_Type_Oshift(c_Type_Oshift(A,B,C,D),c_HOL_Ozero__class_Ozero(tc_nat),E,D)=c_Type_Oshift(c_Type_Oshift(A,c_HOL_Ozero__class_Ozero(tc_nat),E,D),c_Suc(B),C,D).
% 0.18/0.45
% 0.18/0.45 ======= end of input processing =======
% 0.52/0.75
% 0.52/0.75
% 0.52/0.75
% 0.52/0.75 Aborting on detection of an error:
% 0.52/0.75
% 0.52/0.75 Too many clauses (whew!).
% 0.52/0.75
%------------------------------------------------------------------------------