TSTP Solution File: LCL795-1 by SOS---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : LCL795-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n027.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 14:33:00 EDT 2022
% Result : Unknown 0.60s 0.77s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL795-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.13 % Command : sos-script %s
% 0.14/0.34 % Computer : n027.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Mon Jul 4 16:54:56 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.47 ----- Otter 3.2, August 2001 -----
% 0.20/0.47 The process was started by sandbox on n027.cluster.edu,
% 0.20/0.47 Mon Jul 4 16:54:56 2022
% 0.20/0.47 The command was "./sos". The process ID is 18131.
% 0.20/0.47
% 0.20/0.47 set(prolog_style_variables).
% 0.20/0.47 set(auto).
% 0.20/0.47 dependent: set(auto1).
% 0.20/0.47 dependent: set(process_input).
% 0.20/0.47 dependent: clear(print_kept).
% 0.20/0.47 dependent: clear(print_new_demod).
% 0.20/0.47 dependent: clear(print_back_demod).
% 0.20/0.47 dependent: clear(print_back_sub).
% 0.20/0.47 dependent: set(control_memory).
% 0.20/0.47 dependent: assign(max_mem, 12000).
% 0.20/0.47 dependent: assign(pick_given_ratio, 4).
% 0.20/0.47 dependent: assign(stats_level, 1).
% 0.20/0.47 dependent: assign(pick_semantic_ratio, 3).
% 0.20/0.47 dependent: assign(sos_limit, 5000).
% 0.20/0.47 dependent: assign(max_weight, 60).
% 0.20/0.47 clear(print_given).
% 0.20/0.47
% 0.20/0.47 list(usable).
% 0.20/0.47
% 0.20/0.47 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=6.
% 0.20/0.47
% 0.20/0.47 This ia a non-Horn set with equality. The strategy will be
% 0.20/0.47 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.20/0.47 unit deletion, with positive clauses in sos and nonpositive
% 0.20/0.47 clauses in usable.
% 0.20/0.47
% 0.20/0.47 dependent: set(knuth_bendix).
% 0.20/0.47 dependent: set(para_from).
% 0.20/0.47 dependent: set(para_into).
% 0.20/0.47 dependent: clear(para_from_right).
% 0.20/0.47 dependent: clear(para_into_right).
% 0.20/0.47 dependent: set(para_from_vars).
% 0.20/0.47 dependent: set(eq_units_both_ways).
% 0.20/0.47 dependent: set(dynamic_demod_all).
% 0.20/0.47 dependent: set(dynamic_demod).
% 0.20/0.47 dependent: set(order_eq).
% 0.20/0.47 dependent: set(back_demod).
% 0.20/0.47 dependent: set(lrpo).
% 0.20/0.47 dependent: set(hyper_res).
% 0.20/0.47 dependent: set(unit_deletion).
% 0.20/0.47 dependent: set(factor).
% 0.20/0.47
% 0.20/0.47 ------------> process usable:
% 0.20/0.47 Following clause subsumed by 13 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).
% 0.20/0.47 Following clause subsumed by 13 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).
% 0.20/0.47 Following clause subsumed by 7 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).
% 0.20/0.47 Following clause subsumed by 30 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)).
% 0.20/0.47 Following clause subsumed by 38 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)).
% 0.20/0.47 Following clause subsumed by 43 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).
% 0.20/0.47 Following clause subsumed by 46 during input processing: 0 [] {-} -c_lessequals(A,A,tc_nat)|c_HOL_Oord__class_Oless(A,c_Suc(A),tc_nat).
% 0.20/0.47 Following clause subsumed by 49 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).
% 0.20/0.47 Following clause subsumed by 66 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).
% 0.20/0.47 Following clause subsumed by 66 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).
% 0.20/0.47 Following clause subsumed by 78 during input processing: 0 [] {-} c_lessequals(c_Suc(A),B,tc_nat)| -c_HOL_Oord__class_Oless(A,B,tc_nat).
% 0.20/0.47 Following clause subsumed by 79 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(A,B,tc_nat)| -c_lessequals(c_Suc(A),B,tc_nat).
% 0.20/0.47 Following clause subsumed by 80 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).
% 0.20/0.47 Following clause subsumed by 81 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).
% 0.20/0.47 Following clause subsumed by 90 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).
% 0.20/0.47 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).
% 0.20/0.47 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).
% 0.20/0.47 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).
% 0.20/0.47 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).
% 0.20/0.47 Following clause subsumed by 118 during input processing: 0 [] {-} c_Suc(A)!=c_Suc(B)|A=B.
% 0.20/0.47 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).
% 0.20/0.47 Following clause subsumed by 60 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)).
% 0.20/0.47 Following clause subsumed by 60 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)).
% 0.20/0.47 Following clause subsumed by 150 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).
% 0.20/0.47 Following clause subsumed by 151 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).
% 0.20/0.47 Following clause subsumed by 160 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,B,A)|c_lessequals(B,B,A).
% 0.20/0.47 Following clause subsumed by 160 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_lessequals(B,C,A)|c_HOL_Oord__class_Oless(C,B,A).
% 0.20/0.47 Following clause subsumed by 162 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -c_lessequals(B,C,A)| -c_HOL_Oord__class_Oless(C,B,A).
% 0.20/0.47 Following clause subsumed by 160 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,C,A)|c_lessequals(C,B,A).
% 0.20/0.47 Following clause subsumed by 170 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).
% 0.20/0.47 Following clause subsumed by 183 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).
% 0.20/0.47 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,C,A).
% 0.20/0.47 Following clause subsumed by 193 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).
% 0.20/0.47 Following clause subsumed by 207 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))).
% 0.20/0.47 Following clause subsumed by 213 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).
% 0.20/0.47 Following clause subsumed by 214 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).
% 0.20/0.47 Following clause subsumed by 211 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).
% 0.20/0.47 Following clause subsumed by 212 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).
% 0.20/0.47 Following clause subsumed by 233 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.
% 0.20/0.47 Following clause subsumed by 234 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.
% 0.20/0.47 Following clause subsumed by 238 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).
% 0.20/0.47 Following clause subsumed by 253 during input processing: 0 [] {-} -c_HOL_Oord__class_Oless(A,A,tc_nat).
% 0.20/0.47 Following clause subsumed by 263 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.
% 0.20/0.47 Following clause subsumed by 266 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C| -c_lessequals(C,B,A)| -c_lessequals(B,C,A).
% 0.20/0.47 Following clause subsumed by 266 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C| -c_lessequals(B,C,A)| -c_lessequals(C,B,A).
% 0.20/0.47 Following clause subsumed by 263 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).
% 0.20/0.47 Following clause subsumed by 263 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).
% 0.20/0.47 Following clause subsumed by 274 during input processing: 0 [] {-} c_lessequals(A,B,tc_nat)| -c_HOL_Oord__class_Oless(A,B,tc_nat).
% 0.20/0.47 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(B,D,A).
% 0.20/0.47 Following clause subsumed by 209 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).
% 0.20/0.47 Following clause subsumed by 289 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).
% 0.20/0.47 Following clause subsumed by 290 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).
% 0.20/0.47 Following clause subsumed by 290 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).
% 0.20/0.48 Following clause subsumed by 296 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.
% 0.20/0.48 Following clause subsumed by 304 during input processing: 0 [] {-} c_List_Olist_OCons(A,B,C)!=c_List_Olist_ONil(C).
% 0.20/0.48 Following clause subsumed by 315 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).
% 0.20/0.48 Following clause subsumed by 313 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).
% 0.20/0.48 Following clause subsumed by 315 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).
% 0.20/0.48 Following clause subsumed by 310 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).
% 0.20/0.48 Following clause subsumed by 310 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).
% 0.20/0.48 Following clause subsumed by 320 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).
% 0.20/0.48 Following clause subsumed by 310 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).
% 0.20/0.48 Following clause subsumed by 311 during input processing: 0 [] {-} hAPP(hAPP(A,B),C)=C| -c_Groebner__Basis_Ogb__semiring(D,A,E,F,B,G).
% 0.20/0.48 Following clause subsumed by 312 during input processing: 0 [] {-} hAPP(hAPP(A,B),C)=B| -c_Groebner__Basis_Ogb__semiring(D,A,E,B,F,G).
% 0.20/0.48 Following clause subsumed by 308 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).
% 0.20/0.48 Following clause subsumed by 316 during input processing: 0 [] {-} hAPP(hAPP(A,B),C)=C| -c_Groebner__Basis_Ogb__semiring(A,D,E,B,F,G).
% 0.20/0.48 Following clause subsumed by 331 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))).
% 0.20/0.48 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).
% 0.20/0.48 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).
% 0.20/0.48 Following clause subsumed by 242 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).
% 0.20/0.48 Following clause subsumed by 244 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).
% 0.20/0.48 Following clause subsumed by 43 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).
% 0.20/0.48 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).
% 0.20/0.48 Following clause subsumed by 286 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).
% 0.20/0.48 Following clause subsumed by 415 during input processing: 0 [flip.1] {-} c_List_Oappend(A,B,C)!=A|B=c_List_Olist_ONil(C).
% 0.20/0.48 Following clause subsumed by 416 during input processing: 0 [flip.1] {-} c_List_Oappend(B,A,C)!=A|B=c_List_Olist_ONil(C).
% 0.20/0.48 Following clause subsumed by 423 during input processing: 0 [flip.1] {-} c_Suc(A)!=A.
% 0.20/0.48 Following clause subsumed by 354 during input processing: 0 [flip.1] {-} c_List_Olist_OCons(B,A,C)!=A.
% 0.20/0.48 Following clause subsumed by 443 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).
% 0.20/0.48 Following clause subsumed by 442 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).
% 0.20/0.48 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).
% 0.20/0.48 Following clause subsumed by 443 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).
% 0.20/0.48 Following clause subsumed by 445 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).
% 0.20/0.48 Following clause subsumed by 447 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).
% 0.20/0.48 Following clause subsumed by 445 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).
% 0.20/0.48 Following clause subsumed by 449 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).
% 0.20/0.48 Following clause subsumed by 463 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).
% 0.20/0.48 Following clause subsumed by 475 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).
% 0.20/0.48 Following clause subsumed by 81 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).
% 0.20/0.48 Following clause subsumed by 80 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).
% 0.20/0.48 Following clause subsumed by 483 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).
% 0.20/0.48 Following clause subsumed by 489 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).
% 0.20/0.48 Following clause subsumed by 493 during input processing: 0 [] {-} -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ominus__class_Ominus(B,B,A)=c_HOL_Ozero__class_Ozero(A).
% 0.20/0.48 Following clause subsumed by 502 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.
% 0.20/0.48 Following clause subsumed by 253 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).
% 0.20/0.48 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(A,C,tc_nat),tc_nat)| -c_lessequals(B,C,tc_nat).
% 0.20/0.48 Following clause subsumed by 528 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).
% 0.20/0.48 Following clause subsumed by 563 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_lessequals(B,C,A)|C=B.
% 0.20/0.48 Following clause subsumed by 564 during input processing: 0 [] {-} A=B|c_HOL_Oord__class_Oless(A,B,tc_nat)| -c_lessequals(A,B,tc_nat).
% 0.20/0.48 Following clause subsumed by 564 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(A,B,tc_nat)|A=B| -c_lessequals(A,B,tc_nat).
% 0.20/0.48 Following clause subsumed by 565 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)|B=C| -c_lessequals(B,C,A).
% 0.20/0.48 Following clause subsumed by 565 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)|B=C| -c_lessequals(B,C,A).
% 0.20/0.48 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)|B=C.
% 0.20/0.48 Following clause subsumed by 566 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|B=C|c_HOL_Oord__class_Oless(B,C,A)| -c_lessequals(B,C,A).
% 0.20/0.48 Following clause subsumed by 571 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).
% 0.20/0.48 Following clause subsumed by 577 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).
% 0.20/0.48 Following clause subsumed by 577 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).
% 0.20/0.48 Following clause subsumed by 461 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).
% 0.20/0.48 Following clause subsumed by 586 during input processing: 0 [] {-} -class_Orderings_Opreorder(A)| -c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(C,B,A).
% 0.20/0.48 Following clause subsumed by 588 during input processing: 0 [] {-} c_Suc(A)!=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.20/0.48 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).
% 0.20/0.48 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).
% 0.20/0.48 Following clause subsumed by 588 during input processing: 0 [flip.1] {-} c_Suc(A)!=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.20/0.48 Following clause subsumed by 588 during input processing: 0 [flip.1] {-} c_Suc(A)!=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.20/0.48 Following clause subsumed by 607 during input processing: 0 [] {-} -c_HOL_Oord__class_Oless(A,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat).
% 0.20/0.49 Following clause subsumed by 628 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))).
% 0.20/0.49 Following clause subsumed by 527 during input processing: 0 [copy,120,flip.1] {-} c_Lambda_OdB_OAbs(A)!=c_Lambda_OdB_OVar(B).
% 0.20/0.49 162 back subsumes 161.
% 0.20/0.49 Following clause subsumed by 474 during input processing: 0 [copy,235,flip.1] {-} hAPP(hAPP(c_Lambda_OdB_OApp,A),B)!=c_Lambda_OdB_OVar(C).
% 0.20/0.49 Following clause subsumed by 304 during input processing: 0 [copy,280,flip.1] {-} c_List_Olist_OCons(A,B,C)!=c_List_Olist_ONil(C).
% 0.20/0.49 Following clause subsumed by 280 during input processing: 0 [copy,304,flip.1] {-} c_List_Olist_ONil(A)!=c_List_Olist_OCons(B,C,A).
% 0.20/0.49 377 back subsumes 293.
% 0.20/0.49 Following clause subsumed by 235 during input processing: 0 [copy,474,flip.1] {-} c_Lambda_OdB_OVar(A)!=hAPP(hAPP(c_Lambda_OdB_OApp,B),C).
% 0.20/0.49 Following clause subsumed by 526 during input processing: 0 [copy,519,flip.1] {-} hAPP(hAPP(c_Lambda_OdB_OApp,A),B)!=c_Lambda_OdB_OAbs(C).
% 0.20/0.49 Following clause subsumed by 519 during input processing: 0 [copy,526,flip.1] {-} c_Lambda_OdB_OAbs(A)!=hAPP(hAPP(c_Lambda_OdB_OApp,B),C).
% 0.20/0.49 Following clause subsumed by 120 during input processing: 0 [copy,527,flip.1] {-} c_Lambda_OdB_OVar(A)!=c_Lambda_OdB_OAbs(B).
% 0.20/0.49 529 back subsumes 335.
% 0.20/0.49 529 back subsumes 184.
% 0.20/0.49 577 back subsumes 246.
% 0.20/0.49 578 back subsumes 247.
% 0.20/0.49 Following clause subsumed by 629 during input processing: 0 [copy,623,flip.1] {-} c_Type_Otype_OAtom(A)!=hAPP(hAPP(c_Type_Otype_OFun,B),C).
% 0.20/0.49 Following clause subsumed by 623 during input processing: 0 [copy,629,flip.1] {-} hAPP(hAPP(c_Type_Otype_OFun,A),B)!=c_Type_Otype_OAtom(C).
% 0.20/0.49 Following clause subsumed by 220 during input processing: 0 [copy,683,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).
% 0.20/0.49 740 back subsumes 739.
% 0.20/0.49 Following clause subsumed by 462 during input processing: 0 [copy,744,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).
% 0.20/0.49 751 back subsumes 657.
% 0.20/0.49
% 0.20/0.49 ------------> process sos:
% 0.20/0.49 Following clause subsumed by 781 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)).
% 0.20/0.49 Following clause subsumed by 794 during input processing: 0 [demod,776] {-} c_HOL_Oord__class_Oless(A,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Suc(A)),B),tc_nat).
% 0.20/0.49 Following clause subsumed by 803 during input processing: 0 [demod,801] {-} B=B.
% 0.20/0.49 Following clause subsumed by 803 during input processing: 0 [demod,801] {-} A=A.
% 0.20/0.49 Following clause subsumed by 832 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(A),tc_nat).
% 0.20/0.49 Following clause subsumed by 803 during input processing: 0 [demod,839] {-} c_List_Oappend(c_List_Olist_OCons(A,B,C),D,C)=c_List_Oappend(c_List_Olist_OCons(A,B,C),D,C).
% 0.20/0.49 Following clause subsumed by 803 during input processing: 0 [demod,780] {-} c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)).
% 0.20/0.49 Following clause subsumed by 856 during input processing: 0 [] {-} c_lessequals(A,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B),tc_nat).
% 0.20/0.49 Following clause subsumed by 860 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).
% 0.20/0.49 Following clause subsumed by 860 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(A,B,tc_nat)|c_HOL_Oord__class_Oless(B,A,tc_nat)|B=A.
% 0.20/0.49 Following clause subsumed by 803 during input processing: 0 [demod,839] {-} c_List_Oappend(c_List_Olist_OCons(A,B,D),C,D)=c_List_Oappend(c_List_Olist_OCons(A,B,D),C,D).
% 0.20/0.49 Following clause subsumed by 803 during input processing: 0 [demod,839] {-} c_List_Oappend(c_List_Olist_OCons(A,B,D),C,D)=c_List_Oappend(c_List_Olist_OCons(A,B,D),C,D).
% 0.20/0.49 Following clause subsumed by 874 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(A,c_Suc(A),tc_nat).
% 0.20/0.49 Following clause subsumed by 803 during input processing: 0 [demod,801] {-} c_List_Olist_OCons(B,C,A)=c_List_Olist_OCons(B,C,A).
% 0.20/0.49 Following clause subsumed by 880 during input processing: 0 [] {-} c_lessequals(A,A,tc_nat).
% 0.20/0.49 Following clause subsumed by 874 during input processing: 0 [unit_del,253] {-} c_HOL_Oord__class_Oless(A,c_Suc(A),tc_nat).
% 0.20/0.49 Following clause subsumed by 803 during input processing: 0 [demod,801] {-} c_List_Olist_OCons(A,B,C)=c_List_Olist_OCons(A,B,C).
% 0.20/0.49 Following clause subsumed by 803 during input processing: 0 [demod,798] {-} c_List_Olist_ONil(A)=c_List_Olist_ONil(A).
% 0.20/0.49 Following clause subsumed by 880 during input processing: 0 [] {-} c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat).
% 0.20/0.49 Following clause subsumed by 803 during input processing: 0 [demod,818] {-} B=B.
% 0.20/0.49 Following clause subsumed by 803 during input processing: 0 [demod,821] {-} c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)).
% 0.20/0.49 Following clause subsumed by 803 during input processing: 0 [demod,798] {-} c_List_Olist_ONil(A)=c_List_Olist_ONil(A).
% 0.20/0.49 Following clause subsumed by 803 during input processing: 0 [demod,905] {-} c_List_Oappend(A,c_List_Oappend(B,C,D),D)=c_List_Oappend(A,c_List_Oappend(B,C,D),D).
% 0.20/0.49 Following clause subsumed by 803 during input processing: 0 [demod,905] {-} c_List_Oappend(A,c_List_Oappend(B,D,C),C)=c_List_Oappend(A,c_List_Oappend(B,D,C),C).
% 0.20/0.49 Following clause subsumed by 803 during input processing: 0 [demod,905] {-} c_List_Oappend(A,c_List_Oappend(B,C,D),D)=c_List_Oappend(A,c_List_Oappend(B,C,D),D).
% 0.20/0.49 Following clause subsumed by 803 during input processing: 0 [demod,922] {-} A=A.
% 0.20/0.49 Following clause subsumed by 803 during input processing: 0 [demod,953] {-} A=A.
% 0.20/0.49 Following clause subsumed by 981 during input processing: 0 [demod,964,984] {-} c_Type_Otyping(v_e____,v_u____,v_T____).
% 0.20/0.49 Following clause subsumed by 803 during input processing: 0 [] {-} A=A.
% 0.20/0.49 Following clause subsumed by 825 during input processing: 0 [copy,778,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)).
% 0.20/0.49 Following clause subsumed by 788 during input processing: 0 [copy,788,flip.1] {-} c_HOL_Otimes__class_Otimes(A,B,tc_nat)=c_HOL_Otimes__class_Otimes(B,A,tc_nat).
% 0.20/0.49 Following clause subsumed by 790 during input processing: 0 [copy,790,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)).
% 0.20/0.49 Following clause subsumed by 803 during input processing: 0 [copy,803,flip.1] {-} A=A.
% 0.20/0.49 803 back subsumes 764.
% 0.20/0.49 803 back subsumes 732.
% 0.20/0.49 803 back subsumes 698.
% 0.20/0.49 803 back subsumes 692.
% 0.20/0.49 803 back subsumes 691.
% 0.20/0.49 803 back subsumes 690.
% 0.20/0.49 803 back subsumes 689.
% 0.20/0.49 803 back subsumes 688.
% 0.20/0.49 803 back subsumes 678.
% 0.20/0.49 Following clause subsumed by 805 during input processing: 0 [copy,805,flip.1] {-} hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),A).
% 0.20/0.49 805 back subsumes 781.
% 0.20/0.49 Following clause subsumed by 778 during input processing: 0 [copy,825,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).
% 0.20/0.49 832 back subsumes 811.
% 0.20/0.49 Following clause subsumed by 870 during input processing: 0 [copy,854,flip.1] {-} c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),A,B)=c_List_Olist_ONil(B).
% 0.20/0.49 Following clause subsumed by 861 during input processing: 0 [copy,861,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).
% 0.20/0.49 Following clause subsumed by 862 during input processing: 0 [copy,862,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).
% 0.20/0.50 Following clause subsumed by 854 during input processing: 0 [copy,870,flip.1] {-} c_List_Olist_ONil(A)=c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),B,A).
% 0.20/0.50 880 back subsumes 866.
% 0.20/0.50 880 back subsumes 676.
% 0.20/0.50 Following clause subsumed by 803 during input processing: 0 [copy,893,flip.1,demod,918,918] {-} c_HOL_Ozero__class_Ozero(tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.20/0.50 Following clause subsumed by 803 during input processing: 0 [copy,894,flip.1,demod,920,920] {-} c_HOL_Ozero__class_Ozero(tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.20/0.50 Following clause subsumed by 946 during input processing: 0 [copy,946,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).
% 0.20/0.50 Following clause subsumed by 1023 during input processing: 0 [copy,1023,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).
% 0.20/0.50 Following clause subsumed by 804 during input processing: 0 [copy,1024,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)).
% 0.20/0.50 Following clause subsumed by 822 during input processing: 0 [copy,1025,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).
% 0.20/0.50 Following clause subsumed by 823 during input processing: 0 [copy,1026,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).
% 0.20/0.50 Following clause subsumed by 824 during input processing: 0 [copy,1027,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).
% 0.20/0.50 Following clause subsumed by 844 during input processing: 0 [copy,1041,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)).
% 0.20/0.50 Following clause subsumed by 845 during input processing: 0 [copy,1042,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)).
% 0.20/0.50 Following clause subsumed by 848 during input processing: 0 [copy,1043,flip.1] {-} c_Nat_Onat_Onat__case(A,B,c_Suc(C),D)=hAPP(B,C).
% 0.20/0.50 Following clause subsumed by 853 during input processing: 0 [copy,1044,flip.1] {-} c_Type_Otype_Otype__rec(A,B,c_Type_Otype_OAtom(C),D)=hAPP(A,C).
% 0.20/0.50 Following clause subsumed by 886 during input processing: 0 [copy,1046,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).
% 0.20/0.50 Following clause subsumed by 891 during input processing: 0 [copy,1047,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).
% 0.20/0.50 Following clause subsumed by 892 during input processing: 0 [copy,1048,flip.1] {-} c_Type_Otype_Otype__case(A,B,c_Type_Otype_OAtom(C),D)=hAPP(A,C).
% 0.20/0.50 Following clause subsumed by 899 during input processing: 0 [copy,1049,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).
% 0.20/0.50 Following clause subsumed by 929 during input processing: 0 [copy,1051,flip.1] {-} c_HOL_Ominus__class_Ominus(A,A,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.20/0.50 Following clause subsumed by 945 during input processing: 0 [copy,1052,flip.1] {-} c_Nat_Osize__class_Osize(A,tc_String_Ochar)=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.20/0.50 Following clause subsumed by 961 during input processing: 0 [copy,1053,flip.1] {-} c_Type_Otype_Otype__case(A,B,hAPP(hAPP(c_Type_Otype_OFun,C),D),E)=hAPP(hAPP(B,C),D).
% 0.20/0.50 Following clause subsumed by 978 during input processing: 0 [copy,1056,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).
% 0.20/0.50
% 0.20/0.50 ======= end of input processing =======
% 0.60/0.77
% 0.60/0.77
% 0.60/0.77
% 0.60/0.77 Aborting on detection of an error:
% 0.60/0.77
% 0.60/0.77 Too many clauses (whew!).
% 0.60/0.77
%------------------------------------------------------------------------------