TSTP Solution File: LCL850-1 by SOS---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : LCL850-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n017.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 14:33:26 EDT 2022
% Result : Unknown 0.65s 0.83s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL850-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13 % Command : sos-script %s
% 0.12/0.34 % Computer : n017.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sun Jul 3 13:55:56 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.47 ----- Otter 3.2, August 2001 -----
% 0.19/0.47 The process was started by sandbox on n017.cluster.edu,
% 0.19/0.47 Sun Jul 3 13:55:56 2022
% 0.19/0.47 The command was "./sos". The process ID is 31361.
% 0.19/0.47
% 0.19/0.47 set(prolog_style_variables).
% 0.19/0.47 set(auto).
% 0.19/0.47 dependent: set(auto1).
% 0.19/0.47 dependent: set(process_input).
% 0.19/0.47 dependent: clear(print_kept).
% 0.19/0.47 dependent: clear(print_new_demod).
% 0.19/0.47 dependent: clear(print_back_demod).
% 0.19/0.47 dependent: clear(print_back_sub).
% 0.19/0.47 dependent: set(control_memory).
% 0.19/0.47 dependent: assign(max_mem, 12000).
% 0.19/0.47 dependent: assign(pick_given_ratio, 4).
% 0.19/0.47 dependent: assign(stats_level, 1).
% 0.19/0.47 dependent: assign(pick_semantic_ratio, 3).
% 0.19/0.47 dependent: assign(sos_limit, 5000).
% 0.19/0.47 dependent: assign(max_weight, 60).
% 0.19/0.47 clear(print_given).
% 0.19/0.47
% 0.19/0.47 list(usable).
% 0.19/0.47
% 0.19/0.47 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=6.
% 0.19/0.47
% 0.19/0.47 This ia a non-Horn set with equality. The strategy will be
% 0.19/0.47 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.19/0.47 unit deletion, with positive clauses in sos and nonpositive
% 0.19/0.47 clauses in usable.
% 0.19/0.47
% 0.19/0.47 dependent: set(knuth_bendix).
% 0.19/0.47 dependent: set(para_from).
% 0.19/0.47 dependent: set(para_into).
% 0.19/0.47 dependent: clear(para_from_right).
% 0.19/0.47 dependent: clear(para_into_right).
% 0.19/0.47 dependent: set(para_from_vars).
% 0.19/0.47 dependent: set(eq_units_both_ways).
% 0.19/0.47 dependent: set(dynamic_demod_all).
% 0.19/0.47 dependent: set(dynamic_demod).
% 0.19/0.47 dependent: set(order_eq).
% 0.19/0.47 dependent: set(back_demod).
% 0.19/0.47 dependent: set(lrpo).
% 0.19/0.47 dependent: set(hyper_res).
% 0.19/0.47 dependent: set(unit_deletion).
% 0.19/0.47 dependent: set(factor).
% 0.19/0.47
% 0.19/0.47 ------------> process usable:
% 0.19/0.47 Following clause subsumed by 19 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)).
% 0.19/0.47 Following clause subsumed by 27 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)).
% 0.19/0.47 Following clause subsumed by 32 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|c_Power_Opower__class_Opower(B,c_Suc(C),A)=c_HOL_Otimes__class_Otimes(B,c_Power_Opower__class_Opower(B,C,A),A).
% 0.19/0.47 Following clause subsumed by 35 during input processing: 0 [] {-} -c_lessequals(A,A,tc_nat)|c_HOL_Oord__class_Oless(A,c_Suc(A),tc_nat).
% 0.19/0.47 Following clause subsumed by 37 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Otimes__class_Otimes(B,C,A)=c_HOL_Otimes__class_Otimes(C,B,A).
% 0.19/0.47 Following clause subsumed by 46 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_lessequals(B,c_Orderings_Oord__class_Omin(C,D,A),A)| -c_lessequals(B,D,A)| -c_lessequals(B,C,A).
% 0.19/0.47 Following clause subsumed by 46 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_lessequals(B,c_Orderings_Oord__class_Omin(C,D,A),A)| -c_lessequals(B,D,A)| -c_lessequals(B,C,A).
% 0.19/0.47 Following clause subsumed by 2 during input processing: 0 [] {-} -class_Ring__and__Field_Oring(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),c_HOL_Otimes__class_Otimes(B,C,A)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(D,B,A),C,A)),E))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),c_HOL_Otimes__class_Otimes(D,C,A)),E).
% 0.19/0.47 Following clause subsumed by 63 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_lessequals(c_Orderings_Oord__class_Omax(B,C,A),D,A)| -c_lessequals(C,D,A)| -c_lessequals(B,D,A).
% 0.19/0.47 Following clause subsumed by 63 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_lessequals(c_Orderings_Oord__class_Omax(B,C,A),D,A)| -c_lessequals(C,D,A)| -c_lessequals(B,D,A).
% 0.19/0.47 Following clause subsumed by 75 during input processing: 0 [] {-} c_lessequals(c_Suc(A),B,tc_nat)| -c_HOL_Oord__class_Oless(A,B,tc_nat).
% 0.19/0.47 Following clause subsumed by 76 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(A,B,tc_nat)| -c_lessequals(c_Suc(A),B,tc_nat).
% 0.19/0.47 Following clause subsumed by 77 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).
% 0.19/0.47 Following clause subsumed by 78 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).
% 0.19/0.47 Following clause subsumed by 87 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).
% 0.19/0.47 Following clause subsumed by 114 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_lessequals(c_Orderings_Oord__class_Omin(B,C,A),D,A)| -c_lessequals(C,D,A).
% 0.19/0.47 Following clause subsumed by 115 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_lessequals(c_Orderings_Oord__class_Omin(B,C,A),D,A)| -c_lessequals(B,D,A).
% 0.19/0.47 Following clause subsumed by 112 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_lessequals(B,C,A)| -c_lessequals(B,c_Orderings_Oord__class_Omin(D,C,A),A).
% 0.19/0.47 Following clause subsumed by 113 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_lessequals(B,C,A)| -c_lessequals(B,c_Orderings_Oord__class_Omin(C,D,A),A).
% 0.19/0.47 Following clause subsumed by 122 during input processing: 0 [] {-} c_Suc(A)!=c_Suc(B)|A=B.
% 0.19/0.47 Following clause subsumed by 130 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)).
% 0.19/0.47 Following clause subsumed by 130 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)).
% 0.19/0.47 Following clause subsumed by 142 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).
% 0.19/0.47 Following clause subsumed by 143 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).
% 0.19/0.47 Following clause subsumed by 151 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,B,A)|c_lessequals(B,B,A).
% 0.19/0.47 Following clause subsumed by 151 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_lessequals(B,C,A)|c_HOL_Oord__class_Oless(C,B,A).
% 0.19/0.47 Following clause subsumed by 153 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -c_lessequals(B,C,A)| -c_HOL_Oord__class_Oless(C,B,A).
% 0.19/0.47 Following clause subsumed by 151 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,C,A)|c_lessequals(C,B,A).
% 0.19/0.47 Following clause subsumed by 161 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).
% 0.19/0.47 Following clause subsumed by 174 during input processing: 0 [] {-} c_lessequals(A,B,tc_nat)| -c_lessequals(c_HOL_Otimes__class_Otimes(C,A,tc_nat),c_HOL_Otimes__class_Otimes(C,B,tc_nat),tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),C,tc_nat).
% 0.19/0.47 Following clause subsumed by 183 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).
% 0.19/0.47 Following clause subsumed by 184 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).
% 0.19/0.47 Following clause subsumed by 197 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))).
% 0.19/0.47 Following clause subsumed by 111 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).
% 0.19/0.47 Following clause subsumed by 219 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).
% 0.19/0.47 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,C,A).
% 0.19/0.47 Following clause subsumed by 217 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).
% 0.19/0.47 Following clause subsumed by 218 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).
% 0.19/0.47 Following clause subsumed by 237 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.
% 0.19/0.47 Following clause subsumed by 238 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.
% 0.19/0.47 Following clause subsumed by 243 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).
% 0.19/0.47 Following clause subsumed by 258 during input processing: 0 [] {-} -c_HOL_Oord__class_Oless(A,A,tc_nat).
% 0.19/0.47 Following clause subsumed by 266 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.
% 0.19/0.47 Following clause subsumed by 268 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C| -c_lessequals(C,B,A)| -c_lessequals(B,C,A).
% 0.19/0.47 Following clause subsumed by 268 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C| -c_lessequals(B,C,A)| -c_lessequals(C,B,A).
% 0.19/0.47 Following clause subsumed by 266 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).
% 0.19/0.47 Following clause subsumed by 266 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).
% 0.19/0.47 Following clause subsumed by 198 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(B,C,A),D,A)| -c_HOL_Oord__class_Oless(B,D,A).
% 0.19/0.47 Following clause subsumed by 199 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(B,C,A),D,A)| -c_HOL_Oord__class_Oless(C,D,A).
% 0.19/0.47 Following clause subsumed by 278 during input processing: 0 [] {-} -class_Ring__and__Field_Opordered__cancel__semiring(A)|c_lessequals(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Ozero__class_Ozero(A),A)| -c_lessequals(C,c_HOL_Ozero__class_Ozero(A),A)| -c_lessequals(c_HOL_Ozero__class_Ozero(A),B,A).
% 0.19/0.47 Following clause subsumed by 279 during input processing: 0 [] {-} -class_Ring__and__Field_Opordered__cancel__semiring(A)|c_lessequals(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Ozero__class_Ozero(A),A)| -c_lessequals(c_HOL_Ozero__class_Ozero(A),C,A)| -c_lessequals(B,c_HOL_Ozero__class_Ozero(A),A).
% 0.19/0.47 Following clause subsumed by 279 during input processing: 0 [] {-} -class_Ring__and__Field_Opordered__cancel__semiring(A)|c_lessequals(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Ozero__class_Ozero(A),A)| -c_lessequals(B,c_HOL_Ozero__class_Ozero(A),A)| -c_lessequals(c_HOL_Ozero__class_Ozero(A),C,A).
% 0.19/0.47 Following clause subsumed by 285 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.
% 0.19/0.48 Following clause subsumed by 303 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).
% 0.19/0.48 Following clause subsumed by 301 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).
% 0.19/0.48 Following clause subsumed by 303 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).
% 0.19/0.48 Following clause subsumed by 298 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).
% 0.19/0.48 Following clause subsumed by 298 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).
% 0.19/0.48 Following clause subsumed by 308 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).
% 0.19/0.48 Following clause subsumed by 298 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).
% 0.19/0.48 Following clause subsumed by 299 during input processing: 0 [] {-} hAPP(hAPP(A,B),C)=C| -c_Groebner__Basis_Ogb__semiring(D,A,E,F,B,G).
% 0.19/0.48 Following clause subsumed by 300 during input processing: 0 [] {-} hAPP(hAPP(A,B),C)=B| -c_Groebner__Basis_Ogb__semiring(D,A,E,B,F,G).
% 0.19/0.48 Following clause subsumed by 296 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).
% 0.19/0.48 Following clause subsumed by 304 during input processing: 0 [] {-} hAPP(hAPP(A,B),C)=C| -c_Groebner__Basis_Ogb__semiring(A,D,E,B,F,G).
% 0.19/0.48 Following clause subsumed by 319 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))).
% 0.19/0.48 Following clause subsumed by 350 during input processing: 0 [] {-} c_lessequals(A,B,tc_nat)| -c_HOL_Oord__class_Oless(A,B,tc_nat).
% 0.19/0.48 Following clause subsumed by 372 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).
% 0.19/0.48 Following clause subsumed by 376 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).
% 0.19/0.48 Following clause subsumed by 247 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).
% 0.19/0.48 Following clause subsumed by 249 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).
% 0.19/0.48 Following clause subsumed by 32 during input processing: 0 [flip.2] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|c_Power_Opower__class_Opower(B,c_Suc(C),A)=c_HOL_Otimes__class_Otimes(B,c_Power_Opower__class_Opower(B,C,A),A).
% 0.19/0.48 Following clause subsumed by 393 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__semiring__strict(A)|c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),C,A)| -c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A).
% 0.19/0.48 Following clause subsumed by 275 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(A,B,tc_nat),c_HOL_Ominus__class_Ominus(C,B,tc_nat),tc_nat)| -c_HOL_Oord__class_Oless(A,C,tc_nat)| -c_lessequals(B,C,tc_nat)| -c_lessequals(B,A,tc_nat).
% 0.19/0.48 Following clause subsumed by 403 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))).
% 0.19/0.48 Following clause subsumed by 423 during input processing: 0 [flip.1] {-} c_Suc(A)!=A.
% 0.19/0.48 Following clause subsumed by 436 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(A,B,tc_nat),c_HOL_Otimes__class_Otimes(A,C,tc_nat),tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),A,tc_nat)| -c_HOL_Oord__class_Oless(B,C,tc_nat).
% 0.19/0.48 Following clause subsumed by 435 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(A,B,tc_nat),c_HOL_Otimes__class_Otimes(C,B,tc_nat),tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),B,tc_nat)| -c_HOL_Oord__class_Oless(A,C,tc_nat).
% 0.19/0.48 Following clause subsumed by 377 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(A,B,tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(C,A,tc_nat),c_HOL_Otimes__class_Otimes(C,B,tc_nat),tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),C,tc_nat).
% 0.19/0.48 Following clause subsumed by 436 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(A,B,tc_nat),c_HOL_Otimes__class_Otimes(A,C,tc_nat),tc_nat)| -c_HOL_Oord__class_Oless(B,C,tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),A,tc_nat).
% 0.19/0.48 Following clause subsumed by 438 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__ring__strict(A)|c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(B,D,A),A)| -c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(D,C,A).
% 0.19/0.48 Following clause subsumed by 440 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__ring__strict(A)|c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(B,D,A),A)| -c_HOL_Oord__class_Oless(C,D,A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),B,A).
% 0.19/0.48 Following clause subsumed by 438 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__ring__strict(A)|c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(B,D,A),A)| -c_HOL_Oord__class_Oless(D,C,A)| -c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A).
% 0.19/0.48 Following clause subsumed by 442 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__ring__strict(A)|c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(D,C,A),A)| -c_HOL_Oord__class_Oless(D,B,A)| -c_HOL_Oord__class_Oless(C,c_HOL_Ozero__class_Ozero(A),A).
% 0.19/0.48 Following clause subsumed by 459 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).
% 0.19/0.48 Following clause subsumed by 470 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).
% 0.19/0.48 Following clause subsumed by 78 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).
% 0.19/0.48 Following clause subsumed by 77 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).
% 0.19/0.48 Following clause subsumed by 478 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(A),B,A)=c_HOL_Ozero__class_Ozero(A).
% 0.19/0.48 Following clause subsumed by 484 during input processing: 0 [] {-} -class_Ring__and__Field_Ono__zero__divisors(A)|c_HOL_Otimes__class_Otimes(B,C,A)!=c_HOL_Ozero__class_Ozero(A)|C=c_HOL_Ozero__class_Ozero(A)|B=c_HOL_Ozero__class_Ozero(A).
% 0.19/0.48 Following clause subsumed by 490 during input processing: 0 [] {-} -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ominus__class_Ominus(B,B,A)=c_HOL_Ozero__class_Ozero(A).
% 0.19/0.48 Following clause subsumed by 499 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.
% 0.19/0.48 Following clause subsumed by 258 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).
% 0.19/0.48 Following clause subsumed by 519 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))).
% 0.19/0.48 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(A,C,tc_nat),tc_nat)| -c_lessequals(B,C,tc_nat).
% 0.19/0.48 Following clause subsumed by 529 during input processing: 0 [] {-} c_lessequals(c_HOL_Otimes__class_Otimes(A,B,tc_nat),c_HOL_Otimes__class_Otimes(C,B,tc_nat),tc_nat)| -c_lessequals(A,C,tc_nat).
% 0.19/0.48 Following clause subsumed by 560 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_lessequals(B,C,A)|C=B.
% 0.19/0.48 Following clause subsumed by 561 during input processing: 0 [] {-} A=B|c_HOL_Oord__class_Oless(A,B,tc_nat)| -c_lessequals(A,B,tc_nat).
% 0.19/0.48 Following clause subsumed by 561 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(A,B,tc_nat)|A=B| -c_lessequals(A,B,tc_nat).
% 0.19/0.48 Following clause subsumed by 562 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)|B=C| -c_lessequals(B,C,A).
% 0.19/0.48 Following clause subsumed by 562 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)|B=C| -c_lessequals(B,C,A).
% 0.19/0.48 Following clause subsumed by 562 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_lessequals(B,C,A)|B=C.
% 0.19/0.48 Following clause subsumed by 563 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|B=C|c_HOL_Oord__class_Oless(B,C,A)| -c_lessequals(B,C,A).
% 0.19/0.48 Following clause subsumed by 568 during input processing: 0 [] {-} -class_Ring__and__Field_Opordered__ring(A)|c_lessequals(c_HOL_Ozero__class_Ozero(A),c_HOL_Otimes__class_Otimes(B,C,A),A)| -c_lessequals(C,c_HOL_Ozero__class_Ozero(A),A)| -c_lessequals(B,c_HOL_Ozero__class_Ozero(A),A).
% 0.19/0.48 Following clause subsumed by 575 during input processing: 0 [flip.2] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(B,C,A),D,A)=c_HOL_Otimes__class_Otimes(B,c_HOL_Otimes__class_Otimes(C,D,A),A).
% 0.19/0.48 Following clause subsumed by 575 during input processing: 0 [flip.2] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(B,C,A),D,A)=c_HOL_Otimes__class_Otimes(B,c_HOL_Otimes__class_Otimes(C,D,A),A).
% 0.19/0.48 Following clause subsumed by 456 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).
% 0.19/0.48 Following clause subsumed by 584 during input processing: 0 [] {-} -class_Orderings_Opreorder(A)| -c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(C,B,A).
% 0.19/0.48 Following clause subsumed by 585 during input processing: 0 [] {-} -hBOOL(hAPP(A,c_HOL_Ozero__class_Ozero(tc_nat)))|hBOOL(hAPP(A,c_Divides_Odiv__class_Odiv(B,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))).
% 0.19/0.48 Following clause subsumed by 588 during input processing: 0 [] {-} c_Suc(A)!=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.19/0.48 Following clause subsumed by 597 during input processing: 0 [] {-} c_HOL_Otimes__class_Otimes(A,B,tc_nat)!=c_HOL_Otimes__class_Otimes(A,C,tc_nat)|B=C|A=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.19/0.48 Following clause subsumed by 599 during input processing: 0 [] {-} hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)!=A|B=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.19/0.48 Following clause subsumed by 588 during input processing: 0 [flip.1] {-} c_Suc(A)!=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.19/0.48 Following clause subsumed by 588 during input processing: 0 [flip.1] {-} c_Suc(A)!=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.19/0.50 Following clause subsumed by 607 during input processing: 0 [] {-} -c_HOL_Oord__class_Oless(A,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat).
% 0.19/0.50 Following clause subsumed by 614 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))).
% 0.19/0.50 Following clause subsumed by 627 during input processing: 0 [] {-} -hBOOL(hAPP(A,c_Type_Otype_Otype__case(B,C,c_Type_Otype_OFun(D,E),t_a)))|hBOOL(hAPP(A,hAPP(hAPP(C,D),E))).
% 0.19/0.50 153 back subsumes 152.
% 0.19/0.50 324 back subsumes 98.
% 0.19/0.50 377 back subsumes 282.
% 0.19/0.50 Following clause subsumed by 528 during input processing: 0 [copy,522,flip.1] {-} hAPP(hAPP(c_Lambda_OdB_OApp,A),B)!=c_Lambda_OdB_OAbs(C).
% 0.19/0.50 Following clause subsumed by 522 during input processing: 0 [copy,528,flip.1] {-} c_Lambda_OdB_OAbs(A)!=hAPP(hAPP(c_Lambda_OdB_OApp,B),C).
% 0.19/0.50 530 back subsumes 325.
% 0.19/0.50 530 back subsumes 175.
% 0.19/0.50 575 back subsumes 251.
% 0.19/0.50 576 back subsumes 252.
% 0.19/0.50 Following clause subsumed by 617 during input processing: 0 [copy,613,flip.1] {-} c_Lambda_OdB_OVar(A)!=c_Lambda_OdB_OAbs(B).
% 0.19/0.50 Following clause subsumed by 618 during input processing: 0 [copy,616,flip.1] {-} hAPP(hAPP(c_Lambda_OdB_OApp,A),B)!=c_Lambda_OdB_OVar(C).
% 0.19/0.50 Following clause subsumed by 613 during input processing: 0 [copy,617,flip.1] {-} c_Lambda_OdB_OAbs(A)!=c_Lambda_OdB_OVar(B).
% 0.19/0.50 Following clause subsumed by 616 during input processing: 0 [copy,618,flip.1] {-} c_Lambda_OdB_OVar(A)!=hAPP(hAPP(c_Lambda_OdB_OApp,B),C).
% 0.19/0.50 Following clause subsumed by 628 during input processing: 0 [copy,622,flip.1] {-} c_Type_Otype_OAtom(A)!=c_Type_Otype_OFun(B,C).
% 0.19/0.50 Following clause subsumed by 622 during input processing: 0 [copy,628,flip.1] {-} c_Type_Otype_OFun(A,B)!=c_Type_Otype_OAtom(C).
% 0.19/0.50 Following clause subsumed by 228 during input processing: 0 [copy,678,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).
% 0.19/0.50 732 back subsumes 731.
% 0.19/0.50 Following clause subsumed by 458 during input processing: 0 [copy,736,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).
% 0.19/0.50 745 back subsumes 658.
% 0.19/0.50
% 0.19/0.50 ------------> process sos:
% 0.19/0.50 Following clause subsumed by 771 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)).
% 0.19/0.50 Following clause subsumed by 789 during input processing: 0 [demod,785] {-} c_HOL_Oord__class_Oless(A,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),c_Suc(B)),tc_nat).
% 0.19/0.50 Following clause subsumed by 787 during input processing: 0 [] {-} 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)).
% 0.19/0.50 Following clause subsumed by 813 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(A),tc_nat).
% 0.19/0.50 Following clause subsumed by 813 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat).
% 0.19/0.50 Following clause subsumed by 838 during input processing: 0 [] {-} c_lessequals(A,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B),tc_nat).
% 0.19/0.50 Following clause subsumed by 842 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).
% 0.19/0.50 Following clause subsumed by 842 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(A,B,tc_nat)|c_HOL_Oord__class_Oless(B,A,tc_nat)|B=A.
% 0.19/0.50 Following clause subsumed by 863 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(A,c_Suc(A),tc_nat).
% 0.19/0.50 Following clause subsumed by 863 during input processing: 0 [unit_del,258] {-} c_HOL_Oord__class_Oless(A,c_Suc(A),tc_nat).
% 0.19/0.50 Following clause subsumed by 887 during input processing: 0 [] {-} c_lessequals(A,A,tc_nat).
% 0.19/0.50 Following clause subsumed by 835 during input processing: 0 [demod,806] {-} c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)).
% 0.19/0.50 Following clause subsumed by 918 during input processing: 0 [demod,949] {-} A=A.
% 0.19/0.50 Following clause subsumed by 918 during input processing: 0 [demod,803] {-} B=B.
% 0.19/0.50 Following clause subsumed by 918 during input processing: 0 [] {-} A=A.
% 0.19/0.50 Following clause subsumed by 779 during input processing: 0 [copy,779,flip.1] {-} c_HOL_Otimes__class_Otimes(A,B,tc_nat)=c_HOL_Otimes__class_Otimes(B,A,tc_nat).
% 0.19/0.50 Following clause subsumed by 796 during input processing: 0 [copy,796,flip.1] {-} hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),A).
% 0.19/0.50 796 back subsumes 771.
% 0.19/0.50 Following clause subsumed by 798 during input processing: 0 [copy,798,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)).
% 0.19/0.50 Following clause subsumed by 918 during input processing: 0 [copy,835,flip.1] {-} c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)).
% 0.19/0.50 Following clause subsumed by 843 during input processing: 0 [copy,843,flip.1] {-} c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,B,tc_nat),C,tc_nat)=c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,C,tc_nat),B,tc_nat).
% 0.19/0.50 Following clause subsumed by 918 during input processing: 0 [copy,885,flip.1,demod,912,912] {-} c_HOL_Ozero__class_Ozero(tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.19/0.50 Following clause subsumed by 918 during input processing: 0 [copy,886,flip.1,demod,914,914] {-} c_HOL_Ozero__class_Ozero(tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.19/0.50 887 back subsumes 884.
% 0.19/0.50 887 back subsumes 851.
% 0.19/0.50 887 back subsumes 665.
% 0.19/0.50 Following clause subsumed by 918 during input processing: 0 [copy,918,flip.1] {-} A=A.
% 0.19/0.50 918 back subsumes 835.
% 0.19/0.50 918 back subsumes 763.
% 0.19/0.50 918 back subsumes 758.
% 0.19/0.50 918 back subsumes 724.
% 0.19/0.50 918 back subsumes 690.
% 0.19/0.50 918 back subsumes 686.
% 0.19/0.50 918 back subsumes 685.
% 0.19/0.50 918 back subsumes 684.
% 0.19/0.50 918 back subsumes 683.
% 0.19/0.50 918 back subsumes 667.
% 0.19/0.50 Following clause subsumed by 942 during input processing: 0 [copy,942,flip.1] {-} c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),A,B)=c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),C,B).
% 0.19/0.50 Following clause subsumed by 770 during input processing: 0 [copy,1006,flip.1] {-} c_Lambda_OdB_OdB__case(A,B,C,c_Lambda_OdB_OAbs(D),E)=hAPP(C,D).
% 0.19/0.50 Following clause subsumed by 1007 during input processing: 0 [copy,1007,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).
% 0.19/0.50 Following clause subsumed by 781 during input processing: 0 [copy,1008,flip.1] {-} c_Lambda_OdB_OdB__case(A,B,C,hAPP(hAPP(c_Lambda_OdB_OApp,D),E),F)=hAPP(hAPP(B,D),E).
% 0.19/0.50 Following clause subsumed by 787 during input processing: 0 [copy,1009,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)).
% 0.19/0.50 Following clause subsumed by 792 during input processing: 0 [copy,1010,flip.1] {-} c_Nat_Onat_Onat__rec(A,B,c_Suc(C),D)=hAPP(hAPP(B,C),c_Nat_Onat_Onat__rec(A,B,C,D)).
% 0.19/0.50 Following clause subsumed by 797 during input processing: 0 [copy,1011,flip.1] {-} c_Lambda_Oliftn(c_Suc(A),B,C)=c_Lambda_Olift(c_Lambda_Oliftn(A,B,C),C).
% 0.19/0.50 Following clause subsumed by 807 during input processing: 0 [copy,1012,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).
% 0.19/0.50 Following clause subsumed by 808 during input processing: 0 [copy,1013,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).
% 0.19/0.50 Following clause subsumed by 825 during input processing: 0 [copy,1027,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)).
% 0.19/0.50 Following clause subsumed by 826 during input processing: 0 [copy,1028,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)).
% 0.19/0.50 Following clause subsumed by 827 during input processing: 0 [copy,1029,flip.1] {-} c_Nat_Onat_Onat__case(A,B,c_Suc(C),D)=hAPP(B,C).
% 0.19/0.50 Following clause subsumed by 833 during input processing: 0 [copy,1030,flip.1] {-} c_Type_Otype_Otype__rec(A,B,c_Type_Otype_OAtom(C),D)=hAPP(A,C).
% 0.19/0.50 Following clause subsumed by 850 during input processing: 0 [copy,1032,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))).
% 0.19/0.50 Following clause subsumed by 869 during input processing: 0 [copy,1033,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)).
% 0.19/0.50 Following clause subsumed by 870 during input processing: 0 [copy,1034,flip.1] {-} c_Divides_Odiv__class_Odiv(A,c_HOL_Otimes__class_Otimes(B,C,tc_nat),tc_nat)=c_Divides_Odiv__class_Odiv(c_Divides_Odiv__class_Odiv(A,B,tc_nat),C,tc_nat).
% 0.19/0.50 Following clause subsumed by 883 during input processing: 0 [copy,1035,flip.1] {-} c_Type_Otype_Otype__case(A,B,c_Type_Otype_OAtom(C),D)=hAPP(A,C).
% 0.19/0.50 Following clause subsumed by 895 during input processing: 0 [copy,1036,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)))).
% 0.19/0.50 Following clause subsumed by 896 during input processing: 0 [copy,1037,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))).
% 0.19/0.50 Following clause subsumed by 925 during input processing: 0 [copy,1041,flip.1] {-} c_HOL_Ominus__class_Ominus(A,A,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.19/0.50 Following clause subsumed by 941 during input processing: 0 [copy,1042,flip.1] {-} c_Nat_Osize__class_Osize(A,tc_String_Ochar)=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.19/0.50 Following clause subsumed by 952 during input processing: 0 [copy,1043,flip.1] {-} c_Lambda_OdB_OdB__rec(A,B,C,c_Lambda_OdB_OVar(D),E)=hAPP(A,D).
% 0.19/0.50 Following clause subsumed by 954 during input processing: 0 [copy,1044,flip.1] {-} c_Lambda_OdB_OdB__case(A,B,C,c_Lambda_OdB_OVar(D),E)=hAPP(A,D).
% 0.19/0.50 Following clause subsumed by 958 during input processing: 0 [copy,1045,flip.1] {-} c_Type_Otype_Otype__case(A,B,c_Type_Otype_OFun(C,D),E)=hAPP(hAPP(B,C),D).
% 0.19/0.50 Following clause subsumed by 963 during input processing: 0 [copy,1046,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).
% 0.19/0.50
% 0.19/0.50 ======= end of input processing =======
% 0.62/0.83
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% 0.62/0.83
% 0.62/0.83 Aborting on detection of an error:
% 0.62/0.83
% 0.62/0.83 Too many clauses (whew!).
% 0.62/0.83
%------------------------------------------------------------------------------