TSTP Solution File: SWV885-1 by SOS---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : SWV885-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n018.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 : Wed Jul 20 21:40:32 EDT 2022
% Result : Unknown 2.40s 2.63s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : SWV885-1 : TPTP v8.1.0. Released v4.1.0.
% 0.08/0.14 % Command : sos-script %s
% 0.14/0.36 % Computer : n018.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Tue Jun 14 19:01:14 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.22/0.52 ----- Otter 3.2, August 2001 -----
% 0.22/0.52 The process was started by sandbox2 on n018.cluster.edu,
% 0.22/0.52 Tue Jun 14 19:01:14 2022
% 0.22/0.52 The command was "./sos". The process ID is 14301.
% 0.22/0.52
% 0.22/0.52 set(prolog_style_variables).
% 0.22/0.52 set(auto).
% 0.22/0.52 dependent: set(auto1).
% 0.22/0.52 dependent: set(process_input).
% 0.22/0.52 dependent: clear(print_kept).
% 0.22/0.52 dependent: clear(print_new_demod).
% 0.22/0.52 dependent: clear(print_back_demod).
% 0.22/0.52 dependent: clear(print_back_sub).
% 0.22/0.52 dependent: set(control_memory).
% 0.22/0.52 dependent: assign(max_mem, 12000).
% 0.22/0.52 dependent: assign(pick_given_ratio, 4).
% 0.22/0.52 dependent: assign(stats_level, 1).
% 0.22/0.52 dependent: assign(pick_semantic_ratio, 3).
% 0.22/0.52 dependent: assign(sos_limit, 5000).
% 0.22/0.52 dependent: assign(max_weight, 60).
% 0.22/0.52 clear(print_given).
% 0.22/0.52
% 0.22/0.52 list(usable).
% 0.22/0.52
% 0.22/0.52 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=7.
% 0.22/0.52
% 0.22/0.52 This ia a non-Horn set with equality. The strategy will be
% 0.22/0.52 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.22/0.52 unit deletion, with positive clauses in sos and nonpositive
% 0.22/0.52 clauses in usable.
% 0.22/0.52
% 0.22/0.52 dependent: set(knuth_bendix).
% 0.22/0.52 dependent: set(para_from).
% 0.22/0.52 dependent: set(para_into).
% 0.22/0.52 dependent: clear(para_from_right).
% 0.22/0.52 dependent: clear(para_into_right).
% 0.22/0.52 dependent: set(para_from_vars).
% 0.22/0.52 dependent: set(eq_units_both_ways).
% 0.22/0.52 dependent: set(dynamic_demod_all).
% 0.22/0.52 dependent: set(dynamic_demod).
% 0.22/0.52 dependent: set(order_eq).
% 0.22/0.52 dependent: set(back_demod).
% 0.22/0.52 dependent: set(lrpo).
% 0.22/0.52 dependent: set(hyper_res).
% 0.22/0.52 dependent: set(unit_deletion).
% 0.22/0.52 dependent: set(factor).
% 0.22/0.52
% 0.22/0.52 ------------> process usable:
% 0.22/0.52 Following clause subsumed by 7 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).
% 0.22/0.52 Following clause subsumed by 19 during input processing: 0 [flip.2] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(B,C,A),D,A)=c_HOL_Oplus__class_Oplus(B,c_HOL_Oplus__class_Oplus(C,D,A),A).
% 0.22/0.52 Following clause subsumed by 19 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(B,C,A),D,A)=c_HOL_Oplus__class_Oplus(B,c_HOL_Oplus__class_Oplus(C,D,A),A).
% 0.22/0.52 Following clause subsumed by 27 during input processing: 0 [] {-} -c_HOL_Oord__class_Oless(A,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat).
% 0.22/0.52 Following clause subsumed by 50 during input processing: 0 [] {-} -class_Ring__and__Field_Oidom(A)| -class_Int_Onumber__ring(A)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(B,D,A),A)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,D,A),c_HOL_Otimes__class_Otimes(B,C,A),A).
% 0.22/0.52 Following clause subsumed by 57 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(A),B,A)=B.
% 0.22/0.52 Following clause subsumed by 65 during input processing: 0 [] {-} -class_Ring__and__Field_Oring(A)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(D,B,A),C,A),E,A),A)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(D,C,A),E,A).
% 0.22/0.52 Following clause subsumed by 82 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(A,c_HOL_Oplus__class_Oplus(B,C,tc_nat),tc_nat)| -c_HOL_Oord__class_Oless(A,B,tc_nat).
% 0.22/0.52 Following clause subsumed by 83 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(A,c_HOL_Oplus__class_Oplus(B,C,tc_nat),tc_nat)| -c_HOL_Oord__class_Oless(A,C,tc_nat).
% 0.22/0.52 Following clause subsumed by 85 during input processing: 0 [] {-} -class_Divides_Osemiring__div(A)|c_Ring__and__Field_Odvd__class_Odvd(B,C,A)| -c_Ring__and__Field_Odvd__class_Odvd(B,c_Divides_Odiv__class_Omod(C,D,A),A)| -c_Ring__and__Field_Odvd__class_Odvd(B,D,A).
% 0.22/0.52 Following clause subsumed by 86 during input processing: 0 [] {-} -class_Divides_Osemiring__div(A)|c_Ring__and__Field_Odvd__class_Odvd(B,c_Divides_Odiv__class_Omod(C,D,A),A)| -c_Ring__and__Field_Odvd__class_Odvd(B,D,A)| -c_Ring__and__Field_Odvd__class_Odvd(B,C,A).
% 0.22/0.52 Following clause subsumed by 88 during input processing: 0 [] {-} -c_in(A,B,C)| -c_Fun_Oinj__on(D,B,C,E)|hAPP(c_Hilbert__Choice_Oinv__into(B,D,C,E),hAPP(D,A))=A.
% 0.22/0.52 Following clause subsumed by 94 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Oplus__class_Oplus(B,C,A)=c_HOL_Oplus__class_Oplus(C,B,A).
% 0.22/0.52 Following clause subsumed by 104 during input processing: 0 [flip.1] {-} c_HOL_Oplus__class_Oplus(A,B,tc_nat)!=A|B=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.22/0.52 Following clause subsumed by 112 during input processing: 0 [] {-} c_HOL_Otimes__class_Otimes(A,B,tc_nat)!=c_HOL_Otimes__class_Otimes(A,C,tc_nat)|A=c_HOL_Ozero__class_Ozero(tc_nat)|B=C.
% 0.22/0.52 Following clause subsumed by 128 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).
% 0.22/0.52 Following clause subsumed by 154 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).
% 0.22/0.52 Following clause subsumed by 155 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).
% 0.22/0.52 Following clause subsumed by 155 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).
% 0.22/0.52 Following clause subsumed by 160 during input processing: 0 [] {-} c_HOL_Oplus__class_Oplus(A,B,tc_nat)!=c_HOL_Oplus__class_Oplus(A,C,tc_nat)|B=C.
% 0.22/0.52 Following clause subsumed by 70 during input processing: 0 [flip.2] {-} -class_Divides_Osemiring__div(A)|c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(B,D,A),C,A),D,A)=c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(B,C,A),D,A).
% 0.22/0.52 Following clause subsumed by 179 during input processing: 0 [] {-} c_Set_Oimage(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(A,tc_bool)),B,A,C),c_Set_Oimage(B,D,A,C),C,A)=D| -c_Fun_Oinj__on(B,c_Orderings_Otop__class_Otop(tc_fun(A,tc_bool)),A,C).
% 0.22/0.52 Following clause subsumed by 188 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).
% 0.22/0.52 Following clause subsumed by 187 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).
% 0.22/0.52 Following clause subsumed by 188 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).
% 0.22/0.52 Following clause subsumed by 191 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).
% 0.22/0.52 Following clause subsumed by 193 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).
% 0.22/0.52 Following clause subsumed by 191 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).
% 0.22/0.52 Following clause subsumed by 195 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).
% 0.22/0.52 Following clause subsumed by 204 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)|B=c_HOL_Ozero__class_Ozero(A)|C=c_HOL_Ozero__class_Ozero(A).
% 0.22/0.52 Following clause subsumed by 47 during input processing: 0 [flip.2] {-} -class_Ring__and__Field_Ozero__neq__one(A)|c_HOL_Ozero__class_Ozero(A)!=c_HOL_Oone__class_Oone(A).
% 0.22/0.52 Following clause subsumed by 228 during input processing: 0 [] {-} -class_Ring__and__Field_Oidom(A)| -class_Int_Onumber__ring(A)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(D,E,A),A)!=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,E,A),c_HOL_Otimes__class_Otimes(D,C,A),A)|C=E|B=D.
% 0.22/0.52 Following clause subsumed by 229 during input processing: 0 [] {-} c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(A,B,tc_nat),c_HOL_Otimes__class_Otimes(C,D,tc_nat),tc_nat)!=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(A,D,tc_nat),c_HOL_Otimes__class_Otimes(C,B,tc_nat),tc_nat)|B=D|A=C.
% 0.22/0.52 Following clause subsumed by 245 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).
% 0.22/0.52 Following clause subsumed by 266 during input processing: 0 [] {-} -c_HOL_Oord__class_Oless(A,A,tc_nat).
% 0.22/0.52 Following clause subsumed by 287 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).
% 0.22/0.52 Following clause subsumed by 289 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(A),B,A)=B.
% 0.22/0.52 Following clause subsumed by 83 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(A,B,tc_nat),tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),B,tc_nat).
% 0.22/0.52 Following clause subsumed by 82 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(A,B,tc_nat),tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),A,tc_nat).
% 0.22/0.52 Following clause subsumed by 308 during input processing: 0 [] {-} -c_Ring__and__Field_Odvd__class_Odvd(A,B,tc_nat)|c_Ring__and__Field_Odvd__class_Odvd(A,C,tc_nat)| -c_Ring__and__Field_Odvd__class_Odvd(C,A,tc_nat)| -c_Ring__and__Field_Odvd__class_Odvd(B,C,tc_nat).
% 0.22/0.52 Following clause subsumed by 309 during input processing: 0 [] {-} c_in(A,c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(D,tc_bool)),D)| -c_in(A,C,D)| -c_in(A,B,D).
% 0.22/0.52 Following clause subsumed by 310 during input processing: 0 [] {-} hBOOL(hAPP(A,B))| -c_in(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C).
% 0.22/0.52 Following clause subsumed by 310 during input processing: 0 [] {-} -c_in(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B).
% 0.22/0.52 Following clause subsumed by 310 during input processing: 0 [] {-} -c_in(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B).
% 0.22/0.52 Following clause subsumed by 316 during input processing: 0 [] {-} hAPP(A,B)!=hAPP(A,C)| -c_in(C,D,E)| -c_in(B,D,E)| -c_Fun_Oinj__on(A,D,E,F)|B=C.
% 0.22/0.52 Following clause subsumed by 316 during input processing: 0 [] {-} hAPP(A,B)!=hAPP(A,C)| -c_in(C,D,E)| -c_in(B,D,E)| -c_Fun_Oinj__on(A,D,E,F)|B=C.
% 0.22/0.52 Following clause subsumed by 316 during input processing: 0 [] {-} hAPP(A,B)!=hAPP(A,C)| -c_Fun_Oinj__on(A,D,E,F)|B=C| -c_in(C,D,E)| -c_in(B,D,E).
% 0.22/0.52 Following clause subsumed by 310 during input processing: 0 [] {-} -hBOOL(hAPP(A,B))| -c_in(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C).
% 0.22/0.52 Following clause subsumed by 317 during input processing: 0 [] {-} c_in(A,c_HOL_Ominus__class_Ominus(B,C,tc_fun(D,tc_bool)),D)|c_in(A,C,D)| -c_in(A,B,D).
% 0.22/0.52 Following clause subsumed by 318 during input processing: 0 [] {-} c_in(A,c_Set_Ovimage(B,C,D,E),D)| -c_in(hAPP(B,A),C,E).
% 0.22/0.52 Following clause subsumed by 318 during input processing: 0 [] {-} c_in(A,c_Set_Ovimage(B,C,D,E),D)| -c_in(hAPP(B,A),C,E).
% 0.22/0.52 Following clause subsumed by 319 during input processing: 0 [] {-} c_in(hAPP(A,B),C,D)| -c_in(B,c_Set_Ovimage(A,C,E,D),E).
% 0.22/0.52 Following clause subsumed by 320 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|B=C| -c_lessequals(B,C,A)|c_HOL_Oord__class_Oless(B,C,A).
% 0.22/0.52 Following clause subsumed by 321 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)|B=C| -c_lessequals(B,C,A).
% 0.22/0.52 Following clause subsumed by 321 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)|B=C| -c_lessequals(B,C,A).
% 0.22/0.52 Following clause subsumed by 321 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C|c_HOL_Oord__class_Oless(B,C,A)| -c_lessequals(B,C,A).
% 0.22/0.52 Following clause subsumed by 322 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)|C=B| -c_lessequals(B,C,A).
% 0.22/0.52 Following clause subsumed by 332 during input processing: 0 [] {-} -class_Lattices_Olower__semilattice(A)|c_lessequals(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A)| -c_lessequals(B,D,A)| -c_lessequals(B,C,A).
% 0.22/0.52 Following clause subsumed by 332 during input processing: 0 [] {-} -class_Lattices_Olower__semilattice(A)|c_lessequals(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A)| -c_lessequals(B,D,A)| -c_lessequals(B,C,A).
% 0.22/0.52 Following clause subsumed by 345 during input processing: 0 [] {-} A=B| -c_Ring__and__Field_Odvd__class_Odvd(B,A,tc_nat)| -c_Ring__and__Field_Odvd__class_Odvd(A,B,tc_nat).
% 0.22/0.52 Following clause subsumed by 345 during input processing: 0 [] {-} -c_Ring__and__Field_Odvd__class_Odvd(A,B,tc_nat)|B=A| -c_Ring__and__Field_Odvd__class_Odvd(B,A,tc_nat).
% 0.22/0.52 Following clause subsumed by 345 during input processing: 0 [] {-} A=B| -c_Ring__and__Field_Odvd__class_Odvd(B,A,tc_nat)| -c_Ring__and__Field_Odvd__class_Odvd(A,B,tc_nat).
% 0.22/0.52 Following clause subsumed by 345 during input processing: 0 [] {-} A=B| -c_Ring__and__Field_Odvd__class_Odvd(A,B,tc_nat)| -c_Ring__and__Field_Odvd__class_Odvd(B,A,tc_nat).
% 0.22/0.52 Following clause subsumed by 345 during input processing: 0 [] {-} -c_Ring__and__Field_Odvd__class_Odvd(A,B,tc_nat)|B=A| -c_Ring__and__Field_Odvd__class_Odvd(B,A,tc_nat).
% 0.22/0.52 Following clause subsumed by 345 during input processing: 0 [] {-} -c_Ring__and__Field_Odvd__class_Odvd(A,B,tc_nat)| -c_Ring__and__Field_Odvd__class_Odvd(B,A,tc_nat)|B=A.
% 0.22/0.52 Following clause subsumed by 344 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.
% 0.22/0.52 Following clause subsumed by 344 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).
% 0.22/0.52 Following clause subsumed by 344 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).
% 0.22/0.52 Following clause subsumed by 347 during input processing: 0 [flip.1] {-} c_Suc(c_HOL_Ominus__class_Ominus(A,c_HOL_Oone__class_Oone(tc_nat),tc_nat))=A| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),A,tc_nat).
% 0.22/0.52 Following clause subsumed by 69 during input processing: 0 [] {-} c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(A,B,tc_nat),c_HOL_Otimes__class_Otimes(A,C,tc_nat),tc_nat)| -c_Ring__and__Field_Odvd__class_Odvd(B,C,tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),A,tc_nat).
% 0.22/0.53 Following clause subsumed by 366 during input processing: 0 [] {-} c_Ring__and__Field_Odvd__class_Odvd(A,B,tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),C,tc_nat)| -c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(C,A,tc_nat),c_HOL_Otimes__class_Otimes(C,B,tc_nat),tc_nat).
% 0.22/0.53 Following clause subsumed by 266 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).
% 0.22/0.53 Following clause subsumed by 381 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).
% 0.22/0.53 Following clause subsumed by 268 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -c_lessequals(B,B,A)| -c_HOL_Oord__class_Oless(B,B,A).
% 0.22/0.53 Following clause subsumed by 415 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,B,A)|c_lessequals(B,B,A).
% 0.22/0.53 Following clause subsumed by 415 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_lessequals(B,C,A)|c_HOL_Oord__class_Oless(C,B,A).
% 0.22/0.53 Following clause subsumed by 416 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -c_lessequals(B,C,A)| -c_HOL_Oord__class_Oless(C,B,A).
% 0.22/0.53 Following clause subsumed by 415 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,C,A)|c_lessequals(C,B,A).
% 0.22/0.53 Following clause subsumed by 421 during input processing: 0 [] {-} -class_Lattices_Olower__semilattice(A)|c_lessequals(B,C,A)| -c_lessequals(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A).
% 0.22/0.53 Following clause subsumed by 422 during input processing: 0 [] {-} -class_Lattices_Olower__semilattice(A)|c_lessequals(B,C,A)| -c_lessequals(B,c_Lattices_Olower__semilattice__class_Oinf(D,C,A),A).
% 0.22/0.53 Following clause subsumed by 436 during input processing: 0 [] {-} -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ominus__class_Ominus(B,B,A)=c_HOL_Ozero__class_Ozero(A).
% 0.22/0.53 Following clause subsumed by 470 during input processing: 0 [] {-} c_Suc(A)!=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.22/0.53 Following clause subsumed by 471 during input processing: 0 [] {-} A=B|c_HOL_Oord__class_Oless(A,B,tc_nat)| -c_HOL_Oord__class_Oless(A,c_Suc(B),tc_nat).
% 0.22/0.53 Following clause subsumed by 470 during input processing: 0 [flip.1] {-} c_Suc(A)!=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.22/0.53 Following clause subsumed by 470 during input processing: 0 [flip.1] {-} c_Suc(A)!=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.22/0.53 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).
% 0.22/0.53 Following clause subsumed by 500 during input processing: 0 [] {-} -c_Fun_Oinj__on(A,c_Orderings_Otop__class_Otop(tc_fun(B,tc_bool)),B,C)|hAPP(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(B,tc_bool)),A,B,C),hAPP(A,D))=D.
% 0.22/0.53 Following clause subsumed by 40 during input processing: 0 [] {-} -class_Divides_Osemiring__div(A)|c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(B,C,A),D,A),C,A)=c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(B,D,A),C,A).
% 0.22/0.53 Following clause subsumed by 42 during input processing: 0 [] {-} -class_Divides_Osemiring__div(A)|c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(B,c_Divides_Odiv__class_Omod(C,D,A),A),D,A)=c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(B,C,A),D,A).
% 0.22/0.53 Following clause subsumed by 529 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).
% 0.22/0.53 Following clause subsumed by 540 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).
% 0.22/0.53 Following clause subsumed by 540 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).
% 0.22/0.53 Following clause subsumed by 283 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(B,C,A),D,A)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,D,A),c_HOL_Otimes__class_Otimes(C,D,A),A).
% 0.22/0.53 Following clause subsumed by 355 during input processing: 0 [] {-} c_Ring__and__Field_Odvd__class_Odvd(A,B,tc_nat)|c_Ring__and__Field_Odvd__class_Odvd(B,C,tc_nat)| -c_Ring__and__Field_Odvd__class_Odvd(C,B,tc_nat)| -c_Ring__and__Field_Odvd__class_Odvd(A,C,tc_nat).
% 0.22/0.53 Following clause subsumed by 355 during input processing: 0 [] {-} c_Ring__and__Field_Odvd__class_Odvd(A,B,tc_nat)| -c_Ring__and__Field_Odvd__class_Odvd(C,B,tc_nat)|c_Ring__and__Field_Odvd__class_Odvd(C,A,tc_nat)| -c_Ring__and__Field_Odvd__class_Odvd(A,C,tc_nat).
% 0.22/0.53 Following clause subsumed by 546 during input processing: 0 [] {-} -class_Orderings_Opreorder(A)| -c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(C,B,A).
% 0.22/0.53 Following clause subsumed by 550 during input processing: 0 [] {-} c_lessequals(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))| -c_in(B,A,D)| -c_lessequals(c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D),tc_fun(D,tc_bool)),C,tc_fun(D,tc_bool)).
% 0.22/0.53 Following clause subsumed by 482 during input processing: 0 [] {-} c_Set_Oinsert(A,B,C)!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))|c_in(A,B,C).
% 0.22/0.53 Following clause subsumed by 489 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(A,B,tc_fun(C,tc_bool))|A=B| -c_lessequals(A,B,tc_fun(C,tc_bool)).
% 0.22/0.53 Following clause subsumed by 574 during input processing: 0 [] {-} c_lessequals(A,c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))| -c_lessequals(A,C,tc_fun(D,tc_bool))| -c_lessequals(A,B,tc_fun(D,tc_bool)).
% 0.22/0.53 Following clause subsumed by 595 during input processing: 0 [] {-} A=B|c_HOL_Oord__class_Oless(A,B,tc_nat)| -c_lessequals(A,B,tc_nat).
% 0.22/0.53 Following clause subsumed by 595 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(A,B,tc_nat)|A=B| -c_lessequals(A,B,tc_nat).
% 0.22/0.53 Following clause subsumed by 597 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).
% 0.22/0.53 Following clause subsumed by 596 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).
% 0.22/0.53 Following clause subsumed by 602 during input processing: 0 [] {-} c_lessequals(A,B,tc_nat)| -c_HOL_Oord__class_Oless(A,B,tc_nat).
% 0.22/0.53 Following clause subsumed by 605 during input processing: 0 [] {-} c_lessequals(A,c_HOL_Oplus__class_Oplus(B,C,tc_nat),tc_nat)| -c_lessequals(A,C,tc_nat).
% 0.22/0.53 Following clause subsumed by 606 during input processing: 0 [] {-} c_lessequals(A,c_HOL_Oplus__class_Oplus(B,C,tc_nat),tc_nat)| -c_lessequals(A,B,tc_nat).
% 0.22/0.53 Following clause subsumed by 619 during input processing: 0 [flip.2] {-} -c_lessequals(A,B,tc_nat)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(A,C,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(B,A,tc_nat),C,tc_nat),D,tc_nat),tc_nat)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,C,tc_nat),D,tc_nat).
% 0.22/0.53 Following clause subsumed by 628 during input processing: 0 [] {-} -hBOOL(hAPP(A,c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(B,C,tc_nat),B,tc_nat)))|hBOOL(hAPP(A,C)).
% 0.22/0.53 Following clause subsumed by 597 during input processing: 0 [] {-} c_lessequals(c_HOL_Otimes__class_Otimes(c_Suc(A),B,tc_nat),c_HOL_Otimes__class_Otimes(c_Suc(A),C,tc_nat),tc_nat)| -c_lessequals(B,C,tc_nat).
% 0.22/0.53 Following clause subsumed by 655 during input processing: 0 [] {-} c_lessequals(c_Suc(A),B,tc_nat)| -c_HOL_Oord__class_Oless(A,B,tc_nat).
% 0.22/0.53 Following clause subsumed by 656 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(A,B,tc_nat)| -c_lessequals(c_Suc(A),B,tc_nat).
% 0.22/0.54 Following clause subsumed by 692 during input processing: 0 [] {-} c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(A,B,tc_nat),B,tc_nat)=A| -c_lessequals(B,A,tc_nat).
% 0.22/0.54 Following clause subsumed by 686 during input processing: 0 [] {-} c_HOL_Oplus__class_Oplus(A,c_HOL_Ominus__class_Ominus(B,C,tc_nat),tc_nat)=c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(A,B,tc_nat),C,tc_nat)| -c_lessequals(C,B,tc_nat).
% 0.22/0.54 Following clause subsumed by 688 during input processing: 0 [] {-} c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(A,B,tc_nat),C,tc_nat)=c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(A,C,tc_nat),B,tc_nat)| -c_lessequals(B,A,tc_nat).
% 0.22/0.54 Following clause subsumed by 674 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).
% 0.22/0.54 Following clause subsumed by 695 during input processing: 0 [] {-} c_Finite__Set_Ocard(c_Set_Oimage(A,B,C,D),D)=c_Finite__Set_Ocard(B,C)| -c_Fun_Oinj__on(A,B,C,D)| -c_Finite__Set_Ofinite(B,C).
% 0.22/0.54 Following clause subsumed by 724 during input processing: 0 [] {-} c_lessequals(c_Set_Oimage(A,B,C,D),c_Set_Oimage(A,E,C,D),tc_fun(D,tc_bool))| -c_lessequals(B,E,tc_fun(C,tc_bool)).
% 0.22/0.54 Following clause subsumed by 727 during input processing: 0 [] {-} c_in(A,c_Set_Oinsert(B,C,D),D)| -c_in(A,C,D).
% 0.22/0.54 Following clause subsumed by 728 during input processing: 0 [] {-} c_Finite__Set_Ofinite(A,B)| -c_Finite__Set_Ofinite(C,B)| -c_lessequals(A,C,tc_fun(B,tc_bool)).
% 0.22/0.54 Following clause subsumed by 729 during input processing: 0 [] {-} hBOOL(hAPP(A,B))| -hBOOL(hAPP(C,B))| -c_lessequals(C,A,tc_fun(D,tc_bool)).
% 0.22/0.54 Following clause subsumed by 733 during input processing: 0 [] {-} c_in(A,B,C)| -c_lessequals(D,B,tc_fun(C,tc_bool))| -c_in(A,D,C).
% 0.22/0.54 Following clause subsumed by 733 during input processing: 0 [] {-} c_in(A,B,C)| -c_in(A,D,C)| -c_lessequals(D,B,tc_fun(C,tc_bool)).
% 0.22/0.54 Following clause subsumed by 733 during input processing: 0 [] {-} c_in(A,B,C)| -c_in(A,D,C)| -c_lessequals(D,B,tc_fun(C,tc_bool)).
% 0.22/0.54 Following clause subsumed by 738 during input processing: 0 [] {-} c_Suc(A)!=A.
% 0.22/0.54 Following clause subsumed by 745 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C| -c_lessequals(C,B,A)| -c_lessequals(B,C,A).
% 0.22/0.54 Following clause subsumed by 745 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C| -c_lessequals(C,B,A)| -c_lessequals(B,C,A).
% 0.22/0.54 Following clause subsumed by 746 during input processing: 0 [] {-} A=B| -c_lessequals(B,A,tc_fun(C,tc_bool))| -c_lessequals(A,B,tc_fun(C,tc_bool)).
% 0.22/0.54 Following clause subsumed by 750 during input processing: 0 [] {-} c_Suc(A)!=c_Suc(B)|A=B.
% 0.22/0.54 Following clause subsumed by 765 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).
% 0.22/0.54 Following clause subsumed by 757 during input processing: 0 [] {-} c_lessequals(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))| -c_lessequals(A,C,tc_fun(D,tc_bool))|c_in(B,A,D).
% 0.22/0.54 Following clause subsumed by 757 during input processing: 0 [] {-} c_lessequals(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))| -c_lessequals(A,C,tc_fun(D,tc_bool))|c_in(B,A,D).
% 0.22/0.54 Following clause subsumed by 775 during input processing: 0 [] {-} c_lessequals(A,B,tc_fun(C,tc_bool))| -c_lessequals(A,c_Set_Oinsert(D,B,C),tc_fun(C,tc_bool))|c_in(D,A,C).
% 0.22/0.54 Following clause subsumed by 783 during input processing: 0 [] {-} -c_in(A,B,C)|c_in(hAPP(D,A),c_Set_Oimage(D,B,C,E),E).
% 0.22/0.54 Following clause subsumed by 783 during input processing: 0 [] {-} c_in(hAPP(A,B),c_Set_Oimage(A,C,D,E),E)| -c_in(B,C,D).
% 0.22/0.54 Following clause subsumed by 783 during input processing: 0 [] {-} c_in(hAPP(A,B),c_Set_Oimage(A,C,D,E),E)| -c_in(B,C,D).
% 0.22/0.54 308 back subsumes 38.
% 0.22/0.54 355 back subsumes 354.
% 0.22/0.54 355 back subsumes 308.
% 0.22/0.54 364 back subsumes 189.
% 0.22/0.54 364 back subsumes 159.
% 0.22/0.54 455 back subsumes 453.
% 0.22/0.54 Following clause subsumed by 482 during input processing: 0 [copy,477,flip.1] {-} c_Set_Oinsert(A,B,C)!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 0.22/0.55 Following clause subsumed by 477 during input processing: 0 [copy,482,flip.1] {-} c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))!=c_Set_Oinsert(B,C,A).
% 0.22/0.55 540 back subsumes 242.
% 0.22/0.55 541 back subsumes 243.
% 0.22/0.55 597 back subsumes 129.
% 0.22/0.55 654 back subsumes 652.
% 0.22/0.55 724 back subsumes 588.
% 0.22/0.55 757 back subsumes 485.
% 0.22/0.55 780 back subsumes 452.
% 0.22/0.55 783 back subsumes 459.
% 0.22/0.55 850 back subsumes 849.
% 0.22/0.55 893 back subsumes 802.
% 0.22/0.55
% 0.22/0.55 ------------> process sos:
% 0.22/0.55 Following clause subsumed by 956 during input processing: 0 [] {-} c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(A,B,tc_nat),c_HOL_Otimes__class_Otimes(A,C,tc_nat),tc_nat)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(A,C,tc_nat),c_HOL_Otimes__class_Otimes(A,B,tc_nat),tc_nat).
% 0.22/0.55 Following clause subsumed by 970 during input processing: 0 [demod,958,948] {-} c_HOL_Oord__class_Oless(A,c_HOL_Oplus__class_Oplus(A,c_HOL_Oplus__class_Oplus(B,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat).
% 0.22/0.55 Following clause subsumed by 991 during input processing: 0 [demod,958] {-} c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(A,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat).
% 0.22/0.55 Following clause subsumed by 977 during input processing: 0 [demod,967] {-} c_HOL_Oone__class_Oone(tc_nat)=c_HOL_Oone__class_Oone(tc_nat).
% 0.22/0.55 Following clause subsumed by 998 during input processing: 0 [demod,958,988,958,988] {-} c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat).
% 0.22/0.55 Following clause subsumed by 977 during input processing: 0 [demod,958,988,958,988,967,958,988] {-} c_HOL_Oone__class_Oone(tc_nat)=c_HOL_Oone__class_Oone(tc_nat).
% 0.22/0.55 Following clause subsumed by 1061 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).
% 0.22/0.55 Following clause subsumed by 1061 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(A,B,tc_nat)|c_HOL_Oord__class_Oless(B,A,tc_nat)|B=A.
% 0.22/0.55 Following clause subsumed by 1062 during input processing: 0 [demod,1022,1022] {-} c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat).
% 0.22/0.55 Following clause subsumed by 1058 during input processing: 0 [demod,1064] {-} A=A.
% 0.22/0.55 Following clause subsumed by 1058 during input processing: 0 [demod,1066] {-} C=C.
% 0.22/0.55 Following clause subsumed by 1058 during input processing: 0 [demod,1064] {-} A=A.
% 0.22/0.55 Following clause subsumed by 1058 during input processing: 0 [demod,1022,1022] {-} c_HOL_Ozero__class_Ozero(tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.22/0.55 Following clause subsumed by 1058 during input processing: 0 [demod,1024,1024] {-} c_HOL_Ozero__class_Ozero(tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.22/0.55 Following clause subsumed by 1083 during input processing: 0 [demod,958] {-} c_HOL_Oord__class_Oless(A,c_HOL_Oplus__class_Oplus(A,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat).
% 0.22/0.55 Following clause subsumed by 1058 during input processing: 0 [demod,958,958,948] {-} c_HOL_Oplus__class_Oplus(A,c_HOL_Oplus__class_Oplus(B,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat)=c_HOL_Oplus__class_Oplus(A,c_HOL_Oplus__class_Oplus(B,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat).
% 0.22/0.55 Following clause subsumed by 1085 during input processing: 0 [demod,958,948,958] {-} c_HOL_Oplus__class_Oplus(A,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),B,tc_nat),tc_nat)=c_HOL_Oplus__class_Oplus(A,c_HOL_Oplus__class_Oplus(B,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat).
% 0.22/0.55 Following clause subsumed by 1083 during input processing: 0 [demod,958,unit_del,266] {-} c_HOL_Oord__class_Oless(A,c_HOL_Oplus__class_Oplus(A,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat).
% 0.22/0.55 Following clause subsumed by 1058 during input processing: 0 [demod,958,1056,1056,958,1056] {-} c_HOL_Oone__class_Oone(tc_nat)=c_HOL_Oone__class_Oone(tc_nat).
% 0.22/0.55 Following clause subsumed by 1098 during input processing: 0 [] {-} hAPP(c_Fun_Ofun__upd(A,B,C,D,E),F)=hAPP(A,F)|F=B.
% 0.22/0.55 Following clause subsumed by 1119 during input processing: 0 [] {-} c_lessequals(A,c_HOL_Oplus__class_Oplus(A,B,tc_nat),tc_nat).
% 0.22/0.55 Following clause subsumed by 1058 during input processing: 0 [demod,958,1142] {-} A=A.
% 0.22/0.55 Following clause subsumed by 1164 during input processing: 0 [] {-} c_lessequals(A,A,tc_fun(B,tc_bool)).
% 0.22/0.55 Following clause subsumed by 1165 during input processing: 0 [] {-} c_lessequals(A,A,tc_nat).
% 0.22/0.55 Following clause subsumed by 1058 during input processing: 0 [demod,958,958,1134] {-} c_HOL_Ominus__class_Ominus(A,B,tc_nat)=c_HOL_Ominus__class_Ominus(A,B,tc_nat).
% 0.22/0.55 Following clause subsumed by 1173 during input processing: 0 [] {-} c_in(A,c_Set_Oinsert(A,B,C),C).
% 0.22/0.55 Following clause subsumed by 1173 during input processing: 0 [] {-} c_in(A,c_Set_Oinsert(A,B,C),C).
% 0.22/0.55 Following clause subsumed by 1165 during input processing: 0 [demod,958,958] {-} c_lessequals(c_HOL_Oplus__class_Oplus(A,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(A,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat).
% 0.22/0.55 Following clause subsumed by 1058 during input processing: 0 [] {-} A=A.
% 0.22/0.55 Following clause subsumed by 941 during input processing: 0 [copy,941,flip.1] {-} c_HOL_Otimes__class_Otimes(A,B,tc_nat)=c_HOL_Otimes__class_Otimes(B,A,tc_nat).
% 0.22/0.55 Following clause subsumed by 946 during input processing: 0 [copy,946,flip.1] {-} c_HOL_Oplus__class_Oplus(A,c_HOL_Oplus__class_Oplus(B,C,tc_nat),tc_nat)=c_HOL_Oplus__class_Oplus(B,c_HOL_Oplus__class_Oplus(A,C,tc_nat),tc_nat).
% 0.22/0.55 Following clause subsumed by 982 during input processing: 0 [copy,956,flip.1] {-} c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(A,B,tc_nat),c_HOL_Otimes__class_Otimes(A,C,tc_nat),tc_nat)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(A,C,tc_nat),c_HOL_Otimes__class_Otimes(A,B,tc_nat),tc_nat).
% 0.22/0.55 Following clause subsumed by 982 during input processing: 0 [copy,960,flip.1] {-} c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),A,tc_nat)=c_HOL_Oplus__class_Oplus(A,c_HOL_Oone__class_Oone(tc_nat),tc_nat).
% 0.22/0.55 Following clause subsumed by 1058 during input processing: 0 [copy,977,flip.1] {-} c_HOL_Oone__class_Oone(tc_nat)=c_HOL_Oone__class_Oone(tc_nat).
% 0.22/0.55 Following clause subsumed by 982 during input processing: 0 [copy,982,flip.1] {-} c_HOL_Oplus__class_Oplus(A,B,tc_nat)=c_HOL_Oplus__class_Oplus(B,A,tc_nat).
% 0.22/0.55 982 back subsumes 960.
% 0.22/0.55 982 back subsumes 956.
% 0.22/0.55 Following clause subsumed by 992 during input processing: 0 [copy,992,flip.1] {-} c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(B,A,tc_fun(C,tc_bool)).
% 0.22/0.55 Following clause subsumed by 1015 during input processing: 0 [copy,1015,flip.1] {-} c_Lattices_Olower__semilattice__class_Oinf(A,c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Olower__semilattice__class_Oinf(A,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool)).
% 0.22/0.55 Following clause subsumed by 1058 during input processing: 0 [copy,1058,flip.1] {-} A=A.
% 0.22/0.55 1058 back subsumes 977.
% 0.22/0.55 1058 back subsumes 934.
% 0.22/0.55 1058 back subsumes 932.
% 0.22/0.55 1058 back subsumes 930.
% 0.22/0.55 1058 back subsumes 929.
% 0.22/0.55 1058 back subsumes 928.
% 0.22/0.55 1058 back subsumes 926.
% 0.22/0.55 1058 back subsumes 921.
% 0.22/0.55 1058 back subsumes 916.
% 0.22/0.55 1058 back subsumes 862.
% 0.22/0.55 1058 back subsumes 861.
% 0.22/0.55 1058 back subsumes 858.
% 0.22/0.55 1058 back subsumes 843.
% 0.22/0.55 1062 back subsumes 998.
% 0.22/0.55 Following clause subsumed by 1174 during input processing: 0 [copy,1093,flip.1] {-} c_Set_Oinsert(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C)=c_Set_Oinsert(B,c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C).
% 0.22/0.55 1116 back subsumes 1115.
% 0.22/0.55 1121 back subsumes 1118.
% 0.22/0.55 Following clause subsumed by 1126 during input processing: 0 [copy,1125,flip.1] {-} c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=c_Set_Oimage(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C,A).
% 0.22/0.55 Following clause subsumed by 1125 during input processing: 0 [copy,1126,flip.1] {-} c_Set_Oimage(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B,C)=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 0.22/0.55 1163 back subsumes 931.
% 0.22/0.55 1164 back subsumes 923.
% 0.22/0.55 1173 back subsumes 1111.
% 0.22/0.56 Following clause subsumed by 1174 during input processing: 0 [copy,1174,flip.1] {-} c_Set_Oinsert(A,c_Set_Oinsert(B,C,D),D)=c_Set_Oinsert(B,c_Set_Oinsert(A,C,D),D).
% 0.22/0.56 1174 back subsumes 1093.
% 0.22/0.56 Following clause subsumed by 1176 during input processing: 0 [copy,1176,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).
% 0.22/0.56 Following clause subsumed by 955 during input processing: 0 [copy,1238,flip.1] {-} c_HOL_Ominus__class_Ominus(A,c_HOL_Oplus__class_Oplus(A,B,tc_nat),tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.22/0.56 Following clause subsumed by 968 during input processing: 0 [copy,1305,flip.1] {-} c_Set_Ovimage(A,c_HOL_Ominus__class_Ominus(B,C,tc_fun(D,tc_bool)),E,D)=c_HOL_Ominus__class_Ominus(c_Set_Ovimage(A,B,E,D),c_Set_Ovimage(A,C,E,D),tc_fun(E,tc_bool)).
% 0.22/0.56 Following clause subsumed by 973 during input processing: 0 [copy,1306,flip.1] {-} c_Set_Ovimage(A,c_Orderings_Otop__class_Otop(tc_fun(B,tc_bool)),C,B)=c_Orderings_Otop__class_Otop(tc_fun(C,tc_bool)).
% 0.22/0.56 Following clause subsumed by 974 during input processing: 0 [copy,1307,flip.1] {-} c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))=c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,C,tc_fun(D,tc_bool)),c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D),tc_fun(D,tc_bool)).
% 0.22/0.56 Following clause subsumed by 975 during input processing: 0 [copy,1308,flip.1] {-} c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))=c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D),tc_fun(D,tc_bool)),C,tc_fun(D,tc_bool)).
% 0.22/0.56 Following clause subsumed by 985 during input processing: 0 [copy,1309,flip.1] {-} c_HOL_Ominus__class_Ominus(A,A,tc_fun(B,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)).
% 0.22/0.56 Following clause subsumed by 1314 during input processing: 0 [copy,1310,flip.1] {-} c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),A,tc_fun(C,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 0.22/0.56 Following clause subsumed by 1310 during input processing: 0 [copy,1314,flip.1] {-} c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(A,tc_bool)),B,tc_fun(A,tc_bool)).
% 0.22/0.56 Following clause subsumed by 1030 during input processing: 0 [copy,1315,flip.1] {-} c_Divides_Odiv__class_Omod(A,c_HOL_Oone__class_Oone(tc_nat),tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.22/0.56 Following clause subsumed by 1059 during input processing: 0 [copy,1318,flip.1] {-} c_Set_Ovimage(A,c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(D,tc_bool)),E,D)=c_Lattices_Olower__semilattice__class_Oinf(c_Set_Ovimage(A,B,E,D),c_Set_Ovimage(A,C,E,D),tc_fun(E,tc_bool)).
% 0.22/0.56 Following clause subsumed by 1085 during input processing: 0 [copy,1320,flip.1] {-} c_HOL_Oplus__class_Oplus(A,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),B,tc_nat),tc_nat)=c_HOL_Oplus__class_Oplus(A,c_HOL_Oplus__class_Oplus(B,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat).
% 0.22/0.56 Following clause subsumed by 1097 during input processing: 0 [copy,1325,flip.1] {-} c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(A,B,tc_nat),A,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.22/0.56 Following clause subsumed by 1100 during input processing: 0 [copy,1326,flip.1] {-} c_Set_Ovimage(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),C,B)=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 0.22/0.56 Following clause subsumed by 1129 during input processing: 0 [copy,1327,flip.1] {-} c_HOL_Ominus__class_Ominus(A,A,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.22/0.56 Following clause subsumed by 1130 during input processing: 0 [copy,1328,flip.1] {-} c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,B,tc_nat),C,tc_nat)=c_HOL_Ominus__class_Ominus(A,c_HOL_Oplus__class_Oplus(B,C,tc_nat),tc_nat).
% 0.22/0.56 Following clause subsumed by 1153 during input processing: 0 [copy,1343,flip.1] {-} c_HOL_Ominus__class_Ominus(A,c_HOL_Oplus__class_Oplus(B,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat)=c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,c_HOL_Oone__class_Oone(tc_nat),tc_nat),B,tc_nat).
% 0.22/0.56 Following clause subsumed by 1286 during input processing: 0 [copy,1349,flip.1] {-} c_HOL_Oplus__class_Oplus(A,c_HOL_Oone__class_Oone(tc_nat),tc_nat)!=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.22/0.56
% 0.22/0.56 ======= end of input processing =======
% 2.40/2.63
% 2.40/2.63 Stopped by limit on insertions
% 2.40/2.63
% 2.40/2.63
% 2.40/2.63
% 2.40/2.63 Aborting on detection of an error:
% 2.40/2.63
% 2.40/2.63 Too many clauses (whew!).
% 2.40/2.63
%------------------------------------------------------------------------------