%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : ALG388-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n032.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 : Thu Jul 14 18:01:47 EDT 2022
% Result : Unknown 0.48s 0.70s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10 % Problem : ALG388-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.10 % Command : sos-script %s
% 0.10/0.30 % Computer : n032.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 600
% 0.10/0.30 % DateTime : Wed Jun 8 20:37:37 EDT 2022
% 0.10/0.30 % CPUTime :
% 0.15/0.41 ----- Otter 3.2, August 2001 -----
% 0.15/0.41 The process was started by sandbox on n032.cluster.edu,
% 0.15/0.41 Wed Jun 8 20:37:37 2022
% 0.15/0.41 The command was "./sos". The process ID is 12997.
% 0.15/0.41
% 0.15/0.41 set(prolog_style_variables).
% 0.15/0.41 set(auto).
% 0.15/0.41 dependent: set(auto1).
% 0.15/0.41 dependent: set(process_input).
% 0.15/0.41 dependent: clear(print_kept).
% 0.15/0.41 dependent: clear(print_new_demod).
% 0.15/0.41 dependent: clear(print_back_demod).
% 0.15/0.41 dependent: clear(print_back_sub).
% 0.15/0.41 dependent: set(control_memory).
% 0.15/0.41 dependent: assign(max_mem, 12000).
% 0.15/0.41 dependent: assign(pick_given_ratio, 4).
% 0.15/0.41 dependent: assign(stats_level, 1).
% 0.15/0.41 dependent: assign(pick_semantic_ratio, 3).
% 0.15/0.41 dependent: assign(sos_limit, 5000).
% 0.15/0.41 dependent: assign(max_weight, 60).
% 0.15/0.41 clear(print_given).
% 0.15/0.41
% 0.15/0.41 list(usable).
% 0.15/0.41
% 0.15/0.41 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=6.
% 0.15/0.41
% 0.15/0.41 This ia a non-Horn set with equality. The strategy will be
% 0.15/0.41 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.15/0.41 unit deletion, with positive clauses in sos and nonpositive
% 0.15/0.41 clauses in usable.
% 0.15/0.41
% 0.15/0.41 dependent: set(knuth_bendix).
% 0.15/0.41 dependent: set(para_from).
% 0.15/0.41 dependent: set(para_into).
% 0.15/0.41 dependent: clear(para_from_right).
% 0.15/0.41 dependent: clear(para_into_right).
% 0.15/0.41 dependent: set(para_from_vars).
% 0.15/0.41 dependent: set(eq_units_both_ways).
% 0.15/0.41 dependent: set(dynamic_demod_all).
% 0.15/0.41 dependent: set(dynamic_demod).
% 0.15/0.41 dependent: set(order_eq).
% 0.15/0.41 dependent: set(back_demod).
% 0.15/0.41 dependent: set(lrpo).
% 0.15/0.41 dependent: set(hyper_res).
% 0.15/0.41 dependent: set(unit_deletion).
% 0.15/0.41 dependent: set(factor).
% 0.15/0.41
% 0.15/0.41 ------------> process usable:
% 0.15/0.41 Following clause subsumed by 2 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),c_HOL_Ozero__class_Ozero(A))=c_HOL_Ozero__class_Ozero(A).
% 0.15/0.41 Following clause subsumed by 20 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),B),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),C),tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),A,tc_nat)| -c_HOL_Oord__class_Oless(B,C,tc_nat).
% 0.15/0.41 Following clause subsumed by 19 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),B),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),C),B),tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),B,tc_nat)| -c_HOL_Oord__class_Oless(A,C,tc_nat).
% 0.15/0.41 Following clause subsumed by 20 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),B),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),C),tc_nat)| -c_HOL_Oord__class_Oless(B,C,tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),A,tc_nat).
% 0.15/0.41 Following clause subsumed by 1 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_HOL_Ozero__class_Ozero(A)),B)=c_HOL_Ozero__class_Ozero(A).
% 0.15/0.41 Following clause subsumed by 3 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_HOL_Ozero__class_Ozero(A)),B)=c_HOL_Ozero__class_Ozero(A).
% 0.15/0.41 Following clause subsumed by 29 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).
% 0.15/0.41 Following clause subsumed by 34 during input processing: 0 [] {-} -class_Ring__and__Field_Ono__zero__divisors(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)!=c_HOL_Ozero__class_Ozero(A)|B=c_HOL_Ozero__class_Ozero(A)|C=c_HOL_Ozero__class_Ozero(A).
% 0.15/0.41 Following clause subsumed by 47 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.
% 0.15/0.41 Following clause subsumed by 86 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_lessequals(B,C,A)|C=B.
% 0.15/0.41 Following clause subsumed by 87 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|B=C| -c_lessequals(B,C,A)|c_HOL_Oord__class_Oless(B,C,A).
% 0.15/0.41 Following clause subsumed by 88 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)|B=C| -c_lessequals(B,C,A).
% 0.15/0.41 Following clause subsumed by 88 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C|c_HOL_Oord__class_Oless(B,C,A)| -c_lessequals(B,C,A).
% 0.15/0.41 Following clause subsumed by 88 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)|B=C| -c_lessequals(B,C,A).
% 0.15/0.41 Following clause subsumed by 96 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,B,A)|c_lessequals(B,B,A).
% 0.15/0.41 Following clause subsumed by 96 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_lessequals(B,C,A)|c_HOL_Oord__class_Oless(C,B,A).
% 0.15/0.41 Following clause subsumed by 96 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,C,A)|c_lessequals(C,B,A).
% 0.15/0.41 Following clause subsumed by 98 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -c_lessequals(B,C,A)| -c_HOL_Oord__class_Oless(C,B,A).
% 0.15/0.41 Following clause subsumed by 23 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__ring__strict(A)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D),A)| -c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(D,C,A).
% 0.15/0.41 Following clause subsumed by 113 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__ring__strict(A)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D),A)| -c_HOL_Oord__class_Oless(C,D,A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),B,A).
% 0.15/0.41 Following clause subsumed by 23 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__ring__strict(A)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D),A)| -c_HOL_Oord__class_Oless(D,C,A)| -c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A).
% 0.15/0.41 Following clause subsumed by 115 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__ring__strict(A)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),C),A)| -c_HOL_Oord__class_Oless(D,B,A)| -c_HOL_Oord__class_Oless(C,c_HOL_Ozero__class_Ozero(A),A).
% 0.15/0.41 Following clause subsumed by 155 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)).
% 0.15/0.41 Following clause subsumed by 155 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)).
% 0.15/0.41 Following clause subsumed by 167 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)=hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),C),B).
% 0.15/0.41 Following clause subsumed by 168 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_Power_Opower__class_Opower(A),B),c_Suc(C))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C)).
% 0.15/0.41 Following clause subsumed by 172 during input processing: 0 [] {-} -class_Ring__and__Field_Oidom(A)| -class_Int_Onumber__ring(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)).
% 0.15/0.41 Following clause subsumed by 178 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_HOL_Oone__class_Oone(A)),B)=B.
% 0.15/0.41 Following clause subsumed by 127 during input processing: 0 [] {-} -class_Divides_Osemiring__div(A)|c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_Divides_Odiv__class_Omod(B,C,A)),D),C,A)=c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D),C,A).
% 0.15/0.41 Following clause subsumed by 186 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).
% 0.15/0.41 Following clause subsumed by 187 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).
% 0.15/0.41 Following clause subsumed by 112 during input processing: 0 [] {-} hBOOL(hAPP(A,c_Divides_Odiv__class_Odiv(B,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)))| -hBOOL(hAPP(A,c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.15/0.41 Following clause subsumed by 191 during input processing: 0 [] {-} hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),B)!=hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),C)|A=c_HOL_Ozero__class_Ozero(tc_nat)|B=C.
% 0.15/0.41 Following clause subsumed by 193 during input processing: 0 [] {-} -c_HOL_Oord__class_Oless(A,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat).
% 0.15/0.41 Following clause subsumed by 200 during input processing: 0 [] {-} hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)!=A|B=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.15/0.41 Following clause subsumed by 204 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).
% 0.15/0.41 Following clause subsumed by 210 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).
% 0.15/0.41 Following clause subsumed by 215 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).
% 0.15/0.41 Following clause subsumed by 220 during input processing: 0 [] {-} c_lessequals(c_Int_OBit1(A),c_Int_OBit1(B),tc_Int_Oint)| -c_lessequals(A,B,tc_Int_Oint).
% 0.15/0.41 Following clause subsumed by 221 during input processing: 0 [] {-} c_lessequals(A,B,tc_Int_Oint)| -c_lessequals(c_Int_OBit1(A),c_Int_OBit1(B),tc_Int_Oint).
% 0.15/0.41 Following clause subsumed by 226 during input processing: 0 [] {-} c_lessequals(A,B,tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),C,tc_nat)| -c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),C),A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),C),B),tc_nat).
% 0.15/0.41 Following clause subsumed by 230 during input processing: 0 [] {-} c_lessequals(c_Int_OBit0(A),c_Int_OBit0(B),tc_Int_Oint)| -c_lessequals(A,B,tc_Int_Oint).
% 0.15/0.41 Following clause subsumed by 231 during input processing: 0 [] {-} c_lessequals(A,B,tc_Int_Oint)| -c_lessequals(c_Int_OBit0(A),c_Int_OBit0(B),tc_Int_Oint).
% 0.15/0.41 Following clause subsumed by 232 during input processing: 0 [] {-} c_lessequals(A,B,tc_nat)| -c_HOL_Oord__class_Oless(A,B,tc_nat).
% 0.15/0.41 Following clause subsumed by 236 during input processing: 0 [] {-} A=B|c_HOL_Oord__class_Oless(A,B,tc_nat)| -c_lessequals(A,B,tc_nat).
% 0.15/0.41 Following clause subsumed by 236 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(A,B,tc_nat)|A=B| -c_lessequals(A,B,tc_nat).
% 0.15/0.41 Following clause subsumed by 238 during input processing: 0 [] {-} c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),B),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),C),tc_nat)| -c_lessequals(B,C,tc_nat).
% 0.15/0.41 Following clause subsumed by 237 during input processing: 0 [] {-} c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),B),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),C),B),tc_nat)| -c_lessequals(A,C,tc_nat).
% 0.15/0.41 Following clause subsumed by 243 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).
% 0.15/0.41 Following clause subsumed by 189 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,C,A)| -c_Ring__and__Field_Odvd__class_Odvd(B,D,A).
% 0.15/0.41 Following clause subsumed by 190 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,D,A)| -c_Ring__and__Field_Odvd__class_Odvd(B,c_Divides_Odiv__class_Omod(C,D,A),A).
% 0.15/0.41 Following clause subsumed by 125 during input processing: 0 [] {-} c_Divides_Odiv__class_Odiv(A,B,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)| -c_HOL_Oord__class_Oless(A,B,tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),B,tc_nat).
% 0.15/0.41 Following clause subsumed by 268 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).
% 0.15/0.41 Following clause subsumed by 268 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).
% 0.15/0.41 Following clause subsumed by 268 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|B=C|c_HOL_Oord__class_Oless(C,B,A)|c_HOL_Oord__class_Oless(B,C,A).
% 0.15/0.41 Following clause subsumed by 287 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__semiring__strict(A)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C),c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),C,A).
% 0.15/0.41 Following clause subsumed by 305 during input processing: 0 [] {-} A=c_HOL_Ozero__class_Ozero(tc_nat)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),B,tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),B),A),tc_nat).
% 0.15/0.41 Following clause subsumed by 151 during input processing: 0 [] {-} -class_Divides_Osemiring__div(A)|c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),c_Divides_Odiv__class_Omod(C,D,A)),D,A)=c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C),D,A).
% 0.15/0.41 Following clause subsumed by 149 during input processing: 0 [] {-} -class_Divides_Osemiring__div(A)|c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),c_Divides_Odiv__class_Omod(B,C,A)),D),C,A)=c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),D),C,A).
% 0.15/0.41 Following clause subsumed by 309 during input processing: 0 [] {-} -class_Divides_Osemiring__div(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_Divides_Odiv__class_Odiv(B,C,A)),C)),c_Divides_Odiv__class_Omod(B,C,A))=B.
% 0.15/0.41 Following clause subsumed by 314 during input processing: 0 [flip.2] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)),D)=hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),C),D)).
% 0.15/0.41 Following clause subsumed by 314 during input processing: 0 [flip.2] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)),D)=hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),C),D)).
% 0.15/0.41 Following clause subsumed by 318 during input processing: 0 [flip.2] {-} -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),C),D)).
% 0.15/0.41 Following clause subsumed by 244 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).
% 0.15/0.41 Following clause subsumed by 104 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__idom(A)|c_Int_Onumber__class_Onumber__of(B,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),hAPP(hAPP(c_Power_Opower__class_Opower(A),c_HOL_Ozero__class_Ozero(A)),c_Int_Onumber__class_Onumber__of(B,tc_nat)),A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),c_HOL_Ozero__class_Ozero(A),A).
% 0.15/0.41 Following clause subsumed by 354 during input processing: 0 [] {-} -class_Ring__and__Field_Opordered__cancel__semiring(A)|c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C),c_HOL_Ozero__class_Ozero(A),A)| -c_lessequals(c_HOL_Ozero__class_Ozero(A),C,A)| -c_lessequals(B,c_HOL_Ozero__class_Ozero(A),A).
% 0.15/0.41 Following clause subsumed by 354 during input processing: 0 [] {-} -class_Ring__and__Field_Opordered__cancel__semiring(A)|c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C),c_HOL_Ozero__class_Ozero(A),A)| -c_lessequals(c_HOL_Ozero__class_Ozero(A),C,A)| -c_lessequals(B,c_HOL_Ozero__class_Ozero(A),A).
% 0.15/0.41 Following clause subsumed by 355 during input processing: 0 [] {-} -class_Ring__and__Field_Opordered__cancel__semiring(A)|c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C),c_HOL_Ozero__class_Ozero(A),A)| -c_lessequals(C,c_HOL_Ozero__class_Ozero(A),A)| -c_lessequals(c_HOL_Ozero__class_Ozero(A),B,A).
% 0.15/0.41 Following clause subsumed by 368 during input processing: 0 [] {-} -class_Ring__and__Field_Opordered__ring(A)|c_lessequals(c_HOL_Ozero__class_Ozero(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C),A)| -c_lessequals(C,c_HOL_Ozero__class_Ozero(A),A)| -c_lessequals(B,c_HOL_Ozero__class_Ozero(A),A).
% 0.15/0.41 Following clause subsumed by 96 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -class_Int_Onumber(A)|c_lessequals(c_Int_Onumber__class_Onumber__of(B,A),c_Int_Onumber__class_Onumber__of(C,A),A)|c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(C,A),c_Int_Onumber__class_Onumber__of(B,A),A).
% 0.15/0.41 Following clause subsumed by 98 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -class_Int_Onumber(A)| -c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(B,A),c_Int_Onumber__class_Onumber__of(C,A),A)| -c_lessequals(c_Int_Onumber__class_Onumber__of(C,A),c_Int_Onumber__class_Onumber__of(B,A),A).
% 0.15/0.41 Following clause subsumed by 32 during input processing: 0 [] {-} -class_Ring__and__Field_Ozero__neq__one(A)| -class_Ring__and__Field_Ono__zero__divisors(A)| -class_Ring__and__Field_Omult__zero(A)| -class_Power_Opower(A)|hAPP(hAPP(c_Power_Opower__class_Opower(A),B),c_Int_Onumber__class_Onumber__of(C,tc_nat))!=c_HOL_Ozero__class_Ozero(A)|B=c_HOL_Ozero__class_Ozero(A).
% 0.15/0.41 Following clause subsumed by 319 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C)),D)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),C),D)).
% 0.15/0.41 Following clause subsumed by 186 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).
% 0.15/0.41 Following clause subsumed by 187 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).
% 0.15/0.41 Following clause subsumed by 410 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)|c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Osmult(B,C,A),D,tc_Polynomial_Opoly(A))|B=c_HOL_Ozero__class_Ozero(A)| -c_Ring__and__Field_Odvd__class_Odvd(C,D,tc_Polynomial_Opoly(A)).
% 0.15/0.41 Following clause subsumed by 413 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)|c_Ring__and__Field_Odvd__class_Odvd(B,C,tc_Polynomial_Opoly(A))|D=c_HOL_Ozero__class_Ozero(A)| -c_Ring__and__Field_Odvd__class_Odvd(B,c_Polynomial_Osmult(D,C,A),tc_Polynomial_Opoly(A)).
% 0.15/0.41 Following clause subsumed by 414 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__semidom(A)|c_lessequals(B,C,tc_nat)| -c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(A),D),B),hAPP(hAPP(c_Power_Opower__class_Opower(A),D),C),A)| -c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(A),D,A).
% 0.15/0.41 Following clause subsumed by 453 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).
% 0.15/0.42 Following clause subsumed by 456 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).
% 0.15/0.42 Following clause subsumed by 441 during input processing: 0 [] {-} hAPP(hAPP(A,B),C)=C| -c_Groebner__Basis_Ogb__semiring(A,D,E,B,F,G).
% 0.15/0.42 Following clause subsumed by 456 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).
% 0.15/0.42 Following clause subsumed by 459 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).
% 0.15/0.42 Following clause subsumed by 445 during input processing: 0 [] {-} hAPP(hAPP(A,B),C)=B| -c_Groebner__Basis_Ogb__semiring(D,A,E,B,F,G).
% 0.15/0.42 Following clause subsumed by 447 during input processing: 0 [] {-} hAPP(hAPP(A,B),C)=C| -c_Groebner__Basis_Ogb__semiring(D,A,E,F,B,G).
% 0.15/0.42 Following clause subsumed by 453 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).
% 0.15/0.42 Following clause subsumed by 443 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).
% 0.15/0.42 Following clause subsumed by 464 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.
% 0.15/0.42 Following clause subsumed by 501 during input processing: 0 [] {-} c_lessequals(c_Int_OBit0(A),c_Int_OBit1(B),tc_Int_Oint)| -c_lessequals(A,B,tc_Int_Oint).
% 0.15/0.42 Following clause subsumed by 502 during input processing: 0 [] {-} c_lessequals(A,B,tc_Int_Oint)| -c_lessequals(c_Int_OBit0(A),c_Int_OBit1(B),tc_Int_Oint).
% 0.15/0.42 Following clause subsumed by 524 during input processing: 0 [] {-} c_lessequals(c_Suc(A),B,tc_nat)| -c_HOL_Oord__class_Oless(A,B,tc_nat).
% 0.15/0.42 Following clause subsumed by 525 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(A,B,tc_nat)| -c_lessequals(c_Suc(A),B,tc_nat).
% 0.15/0.42 Following clause subsumed by 238 during input processing: 0 [] {-} c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Suc(A)),B),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Suc(A)),C),tc_nat)| -c_lessequals(B,C,tc_nat).
% 0.15/0.42 Following clause subsumed by 518 during input processing: 0 [] {-} -class_OrderedGroup_Omonoid__mult(A)| -class_Int_Onumber(A)|hAPP(hAPP(c_Power_Opower__class_Opower(A),c_Int_Onumber__class_Onumber__of(B,A)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(B,A)),c_Int_Onumber__class_Onumber__of(B,A)).
% 0.15/0.42 Following clause subsumed by 386 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__idom(A)|B=c_HOL_Ozero__class_Ozero(A)|c_lessequals(B,c_HOL_Ozero__class_Ozero(A),A)| -c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(A),B),c_Int_Onumber__class_Onumber__of(C,tc_nat)),c_HOL_Ozero__class_Ozero(A),A).
% 0.15/0.42 Following clause subsumed by 390 during input processing: 0 [] {-} -class_Ring__and__Field_Ozero__neq__one(A)| -class_Ring__and__Field_Ono__zero__divisors(A)| -class_Ring__and__Field_Omult__zero(A)| -class_Power_Opower(A)|hAPP(hAPP(c_Power_Opower__class_Opower(A),c_HOL_Ozero__class_Ozero(A)),c_Int_Onumber__class_Onumber__of(B,tc_nat))=c_HOL_Ozero__class_Ozero(A)|c_Int_Onumber__class_Onumber__of(B,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.15/0.42 Following clause subsumed by 389 during input processing: 0 [] {-} -class_Ring__and__Field_Osemiring__0(A)| -class_Power_Opower(A)|hAPP(hAPP(c_Power_Opower__class_Opower(A),c_HOL_Ozero__class_Ozero(A)),c_Int_Onumber__class_Onumber__of(B,tc_nat))=c_HOL_Ozero__class_Ozero(A)|c_Int_Onumber__class_Onumber__of(B,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.15/0.42 Following clause subsumed by 61 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__semidom(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_lessequals(c_HOL_Ozero__class_Ozero(A),C,A)| -c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(A),B),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),hAPP(hAPP(c_Power_Opower__class_Opower(A),C),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),A).
% 0.15/0.42 Following clause subsumed by 565 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).
% 0.15/0.42 Following clause subsumed by 584 during input processing: 0 [] {-} hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),B)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),C),D))!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),D)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),C),B))|B=D|A=C.
% 0.15/0.42 Following clause subsumed by 585 during input processing: 0 [] {-} -class_Ring__and__Field_Oidom(A)| -class_Int_Onumber__ring(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),E))!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),E)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),C))|C=E|B=D.
% 0.15/0.42 Following clause subsumed by 595 during input processing: 0 [] {-} -c_HOL_Oord__class_Oless(A,A,tc_nat).
% 0.15/0.42 Following clause subsumed by 168 during input processing: 0 [flip.2] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_Power_Opower__class_Opower(A),B),c_Suc(C))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C)).
% 0.15/0.42 Following clause subsumed by 612 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__semidom(A)|c_HOL_Oord__class_Oless(B,C,tc_nat)| -c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(A),D),B),hAPP(hAPP(c_Power_Opower__class_Opower(A),D),C),A)| -c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(A),D,A).
% 0.15/0.42 Following clause subsumed by 613 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__semidom(A)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),D),A)| -c_HOL_Oord__class_Oless(C,D,tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(A),B,A).
% 0.15/0.42 Following clause subsumed by 146 during input processing: 0 [flip.1] {-} hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),B)!=c_HOL_Oone__class_Oone(tc_nat)|B=c_HOL_Oone__class_Oone(tc_nat).
% 0.15/0.42 Following clause subsumed by 147 during input processing: 0 [flip.1] {-} hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),B)!=c_HOL_Oone__class_Oone(tc_nat)|A=c_HOL_Oone__class_Oone(tc_nat).
% 0.15/0.42 Following clause subsumed by 645 during input processing: 0 [] {-} -class_Orderings_Opreorder(A)| -c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(C,B,A).
% 0.15/0.42 Following clause subsumed by 512 during input processing: 0 [] {-} -class_HOL_Ozero(A)|hAPP(c_Polynomial_Ocoeff(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)),A),c_Polynomial_Odegree(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)),A))=c_HOL_Ozero__class_Ozero(A).
% 0.15/0.42 Following clause subsumed by 697 during input processing: 0 [] {-} c_Suc(A)!=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.15/0.42 Following clause subsumed by 687 during input processing: 0 [flip.2] {-} -class_Int_Onumber__ring(A)|c_HOL_Ozero__class_Ozero(A)=c_Int_Onumber__class_Onumber__of(c_Int_OPls,A).
% 0.15/0.42 Following clause subsumed by 698 during input processing: 0 [] {-} c_Suc(A)!=c_Suc(B)|A=B.
% 0.15/0.42 Following clause subsumed by 700 during input processing: 0 [] {-} c_Int_OBit1(A)!=c_Int_OPls.
% 0.15/0.42 Following clause subsumed by 707 during input processing: 0 [flip.1] {-} c_Suc(A)!=A.
% 0.15/0.42 Following clause subsumed by 708 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C| -c_lessequals(C,B,A)| -c_lessequals(B,C,A).
% 0.15/0.42 Following clause subsumed by 708 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C| -c_lessequals(C,B,A)| -c_lessequals(B,C,A).
% 0.15/0.42 Following clause subsumed by 697 during input processing: 0 [flip.1] {-} c_Suc(A)!=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.15/0.42 Following clause subsumed by 697 during input processing: 0 [flip.1] {-} c_Suc(A)!=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.15/0.42 98 back subsumes 97.
% 0.15/0.42 140 back subsumes 105.
% 0.15/0.42 193 back subsumes 110.
% 0.15/0.42 238 back subsumes 225.
% 0.15/0.42 276 back subsumes 132.
% 0.15/0.42 276 back subsumes 21.
% 0.15/0.43 280 back subsumes 247.
% 0.15/0.43 281 back subsumes 102.
% 0.15/0.43 305 back subsumes 218.
% 0.15/0.43 314 back subsumes 264.
% 0.15/0.43 315 back subsumes 265.
% 0.15/0.43 453 back subsumes 450.
% 0.15/0.43 454 back subsumes 451.
% 0.15/0.43 471 back subsumes 100.
% 0.15/0.43 472 back subsumes 99.
% 0.15/0.43 523 back subsumes 521.
% 0.15/0.43 579 back subsumes 217.
% 0.15/0.43 688 back subsumes 686.
% 0.15/0.43 Following clause subsumed by 717 during input processing: 0 [copy,706,flip.1] {-} c_Int_OBit0(A)!=c_Int_OBit1(B).
% 0.15/0.43 Following clause subsumed by 706 during input processing: 0 [copy,717,flip.1] {-} c_Int_OBit1(A)!=c_Int_OBit0(B).
% 0.15/0.43 Following clause subsumed by 194 during input processing: 0 [copy,815,flip.1] {-} c_Fact_Ofact__class_Ofact(A,tc_nat)!=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.15/0.43 846 back subsumes 842.
% 0.15/0.43 850 back subsumes 844.
% 0.15/0.43
% 0.15/0.43 ------------> process sos:
% 0.15/0.43 Following clause subsumed by 924 during input processing: 0 [] {-} hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),B)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),C))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),C)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),B)).
% 0.15/0.43 Following clause subsumed by 936 during input processing: 0 [demod,926,922] {-} c_HOL_Oord__class_Oless(A,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),c_HOL_Oone__class_Oone(tc_nat))),tc_nat).
% 0.15/0.43 Following clause subsumed by 945 during input processing: 0 [demod,943,943] {-} c_HOL_Ozero__class_Ozero(tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.15/0.43 Following clause subsumed by 952 during input processing: 0 [demod,926,926,922] {-} hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),c_HOL_Oone__class_Oone(tc_nat)))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),c_HOL_Oone__class_Oone(tc_nat))).
% 0.15/0.43 Following clause subsumed by 959 during input processing: 0 [demod,926,922,926] {-} hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Oone__class_Oone(tc_nat)),B))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),c_HOL_Oone__class_Oone(tc_nat))).
% 0.15/0.43 Following clause subsumed by 963 during input processing: 0 [demod,926] {-} c_HOL_Oord__class_Oless(A,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),c_HOL_Oone__class_Oone(tc_nat)),tc_nat).
% 0.15/0.43 Following clause subsumed by 963 during input processing: 0 [demod,926] {-} c_HOL_Oord__class_Oless(A,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),c_HOL_Oone__class_Oone(tc_nat)),tc_nat).
% 0.15/0.43 Following clause subsumed by 969 during input processing: 0 [] {-} c_lessequals(A,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B),tc_nat).
% 0.15/0.43 Following clause subsumed by 969 during input processing: 0 [] {-} c_lessequals(A,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B),tc_nat).
% 0.15/0.43 Following clause subsumed by 952 during input processing: 0 [demod,930] {-} c_HOL_Oone__class_Oone(tc_nat)=c_HOL_Oone__class_Oone(tc_nat).
% 0.15/0.43 Following clause subsumed by 978 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).
% 0.15/0.43 Following clause subsumed by 978 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(A,B,tc_nat)|c_HOL_Oord__class_Oless(B,A,tc_nat)|B=A.
% 0.15/0.43 Following clause subsumed by 952 during input processing: 0 [demod,986] {-} c_Fact_Ofact__class_Ofact(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),c_HOL_Oone__class_Oone(tc_nat)),tc_nat)=c_Fact_Ofact__class_Ofact(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),c_HOL_Oone__class_Oone(tc_nat)),tc_nat).
% 0.15/0.43 Following clause subsumed by 952 during input processing: 0 [demod,926,954,954,926,954] {-} c_HOL_Oone__class_Oone(tc_nat)=c_HOL_Oone__class_Oone(tc_nat).
% 0.15/0.43 Following clause subsumed by 952 during input processing: 0 [demod,926,954,926,954,950] {-} c_HOL_Oone__class_Oone(tc_nat)=c_HOL_Oone__class_Oone(tc_nat).
% 0.15/0.43 Following clause subsumed by 952 during input processing: 0 [demod,926,954,926,954,930,926,954] {-} c_HOL_Oone__class_Oone(tc_nat)=c_HOL_Oone__class_Oone(tc_nat).
% 0.15/0.43 Following clause subsumed by 952 during input processing: 0 [demod,926,954] {-} c_HOL_Oone__class_Oone(tc_nat)=c_HOL_Oone__class_Oone(tc_nat).
% 0.15/0.43 Following clause subsumed by 952 during input processing: 0 [demod,926,954,926,954,954] {-} c_HOL_Oone__class_Oone(tc_nat)=c_HOL_Oone__class_Oone(tc_nat).
% 0.15/0.43 Following clause subsumed by 1003 during input processing: 0 [demod,988] {-} c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat).
% 0.15/0.43 Following clause subsumed by 952 during input processing: 0 [demod,926,926,954,926,954,922,1014] {-} c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),c_HOL_Oone__class_Oone(tc_nat)),B,tc_nat)=c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),c_HOL_Oone__class_Oone(tc_nat)),B,tc_nat).
% 0.15/0.43 Following clause subsumed by 952 during input processing: 0 [demod,926,954,1006,926,954] {-} c_HOL_Oone__class_Oone(tc_nat)=c_HOL_Oone__class_Oone(tc_nat).
% 0.15/0.43 Following clause subsumed by 952 during input processing: 0 [demod,926,954,980,926,954] {-} c_HOL_Oone__class_Oone(tc_nat)=c_HOL_Oone__class_Oone(tc_nat).
% 0.15/0.43 Following clause subsumed by 952 during input processing: 0 [demod,988,926,954] {-} c_HOL_Oone__class_Oone(tc_nat)=c_HOL_Oone__class_Oone(tc_nat).
% 0.15/0.43 Following clause subsumed by 952 during input processing: 0 [demod,926,954,950,926,954] {-} c_HOL_Oone__class_Oone(tc_nat)=c_HOL_Oone__class_Oone(tc_nat).
% 0.15/0.43 Following clause subsumed by 1019 during input processing: 0 [demod,926] {-} c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),c_HOL_Oone__class_Oone(tc_nat)),tc_nat).
% 0.15/0.43 Following clause subsumed by 952 during input processing: 0 [demod,916,926,954] {-} c_HOL_Oone__class_Oone(tc_nat)=c_HOL_Oone__class_Oone(tc_nat).
% 0.15/0.43 Following clause subsumed by 952 during input processing: 0 [demod,1036,977,930] {-} hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),A)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),A).
% 0.15/0.43 Following clause subsumed by 952 during input processing: 0 [demod,926,922,908,926] {-} c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),C),c_HOL_Oone__class_Oone(tc_nat)),B,tc_nat)=c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),C),c_HOL_Oone__class_Oone(tc_nat)),B,tc_nat).
% 0.15/0.43 Following clause subsumed by 1040 during input processing: 0 [demod,926,954] {-} c_lessequals(c_HOL_Oone__class_Oone(tc_nat),c_Fact_Ofact__class_Ofact(A,tc_nat),tc_nat).
% 0.15/0.43 Following clause subsumed by 952 during input processing: 0 [demod,1046] {-} c_HOL_Oone__class_Oone(tc_nat)=c_HOL_Oone__class_Oone(tc_nat).
% 0.15/0.43 Following clause subsumed by 1019 during input processing: 0 [demod,1036] {-} c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Oone__class_Oone(tc_nat)),c_HOL_Oone__class_Oone(tc_nat)),tc_nat).
% 0.15/0.43 Following clause subsumed by 952 during input processing: 0 [demod,1036,926,926,922] {-} hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Oone__class_Oone(tc_nat)),c_HOL_Oone__class_Oone(tc_nat)))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Oone__class_Oone(tc_nat)),c_HOL_Oone__class_Oone(tc_nat))).
% 0.15/0.43 Following clause subsumed by 1063 during input processing: 0 [] {-} c_lessequals(A,A,tc_nat).
% 0.15/0.43 Following clause subsumed by 1063 during input processing: 0 [demod,1059,1059] {-} c_lessequals(c_Int_Onumber__class_Onumber__of(c_Int_OPls,tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OPls,tc_nat),tc_nat).
% 0.15/0.43 Following clause subsumed by 952 during input processing: 0 [demod,1059] {-} c_Int_Onumber__class_Onumber__of(c_Int_OPls,tc_nat)=c_Int_Onumber__class_Onumber__of(c_Int_OPls,tc_nat).
% 0.15/0.43 Following clause subsumed by 952 during input processing: 0 [demod,1065] {-} c_Int_OPls=c_Int_OPls.
% 0.15/0.45 Following clause subsumed by 952 during input processing: 0 [demod,1059,926,1068,926,1036] {-} hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Oone__class_Oone(tc_nat)),c_HOL_Oone__class_Oone(tc_nat))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Oone__class_Oone(tc_nat)),c_HOL_Oone__class_Oone(tc_nat)).
% 0.15/0.45 Following clause subsumed by 1063 during input processing: 0 [demod,926,926] {-} c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),c_HOL_Oone__class_Oone(tc_nat)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),c_HOL_Oone__class_Oone(tc_nat)),tc_nat).
% 0.15/0.45 Following clause subsumed by 952 during input processing: 0 [] {-} A=A.
% 0.15/0.45 Following clause subsumed by 920 during input processing: 0 [copy,920,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)).
% 0.15/0.45 Following clause subsumed by 923 during input processing: 0 [copy,923,flip.1] {-} hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),B)=hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),B),A).
% 0.15/0.45 Following clause subsumed by 1039 during input processing: 0 [copy,928,flip.1] {-} hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Oone__class_Oone(tc_nat)),A)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),c_HOL_Oone__class_Oone(tc_nat)).
% 0.15/0.45 Following clause subsumed by 952 during input processing: 0 [copy,945,flip.1,demod,1059,1059] {-} c_Int_Onumber__class_Onumber__of(c_Int_OPls,tc_nat)=c_Int_Onumber__class_Onumber__of(c_Int_OPls,tc_nat).
% 0.15/0.45 Following clause subsumed by 952 during input processing: 0 [copy,952,flip.1] {-} A=A.
% 0.15/0.45 952 back subsumes 945.
% 0.15/0.45 952 back subsumes 903.
% 0.15/0.45 952 back subsumes 902.
% 0.15/0.45 952 back subsumes 900.
% 0.15/0.45 952 back subsumes 892.
% 0.15/0.45 952 back subsumes 833.
% 0.15/0.45 952 back subsumes 826.
% 0.15/0.45 952 back subsumes 825.
% 0.15/0.45 952 back subsumes 824.
% 0.15/0.45 1027 back subsumes 1021.
% 0.15/0.45 1031 back subsumes 1023.
% 0.15/0.45 Following clause subsumed by 1039 during input processing: 0 [copy,1039,flip.1] {-} hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),A).
% 0.15/0.45 1039 back subsumes 928.
% 0.15/0.45 1042 back subsumes 966.
% 0.15/0.45 Following clause subsumed by 1168 during input processing: 0 [copy,1168,flip.1] {-} hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),C))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),C),B)).
% 0.15/0.45 Following clause subsumed by 1010 during input processing: 0 [copy,1251,flip.1] {-} hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)),C)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),C)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),B),C)).
% 0.15/0.45 1255 back subsumes 1252.
% 0.15/0.45 1257 back subsumes 1253.
% 0.15/0.45 Following clause subsumed by 1041 during input processing: 0 [copy,1292,flip.1] {-} c_Divides_Odiv__class_Odiv(A,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),B),C),tc_nat)=c_Divides_Odiv__class_Odiv(c_Divides_Odiv__class_Odiv(A,B,tc_nat),C,tc_nat).
% 0.15/0.45 Following clause subsumed by 1399 during input processing: 0 [copy,1295,flip.1,demod,1317,1317,1317,1317,1317,1317] {-} hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Fact_Ofact__class_Ofact(c_Int_Onumber__class_Onumber__of(c_Int_OPls,tc_nat),tc_nat)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Fact_Ofact__class_Ofact(c_Int_Onumber__class_Onumber__of(c_Int_OPls,tc_nat),tc_nat)),c_Fact_Ofact__class_Ofact(c_Int_Onumber__class_Onumber__of(c_Int_OPls,tc_nat),tc_nat))))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Fact_Ofact__class_Ofact(c_Int_Onumber__class_Onumber__of(c_Int_OPls,tc_nat),tc_nat)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Fact_Ofact__class_Ofact(c_Int_Onumber__class_Onumber__of(c_Int_OPls,tc_nat),tc_nat)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Fact_Ofact__class_Ofact(c_Int_Onumber__class_Onumber__of(c_Int_OPls,tc_nat),tc_nat)),A))).
% 0.15/0.45 Following clause subsumed by 1377 during input processing: 0 [copy,1322,flip.1] {-} c_Fact_Ofact__class_Ofact(A,tc_nat)!=c_Int_Onumber__class_Onumber__of(c_Int_OPls,tc_nat).
% 0.15/0.45 Following clause subsumed by 1322 during input processing: 0 [copy,1377,flip.1] {-} c_Int_Onumber__class_Onumber__of(c_Int_OPls,tc_nat)!=c_Fact_Ofact__class_Ofact(A,tc_nat).
% 0.15/0.45 Following clause subsumed by 1424 during input processing: 0 [copy,1399,flip.1] {-} hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Fact_Ofact__class_Ofact(c_Int_Onumber__class_Onumber__of(c_Int_OPls,tc_nat),tc_nat)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Fact_Ofact__class_Ofact(c_Int_Onumber__class_Onumber__of(c_Int_OPls,tc_nat),tc_nat)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Fact_Ofact__class_Ofact(c_Int_Onumber__class_Onumber__of(c_Int_OPls,tc_nat),tc_nat)),A)))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Fact_Ofact__class_Ofact(c_Int_Onumber__class_Onumber__of(c_Int_OPls,tc_nat),tc_nat)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Fact_Ofact__class_Ofact(c_Int_Onumber__class_Onumber__of(c_Int_OPls,tc_nat),tc_nat)),c_Fact_Ofact__class_Ofact(c_Int_Onumber__class_Onumber__of(c_Int_OPls,tc_nat),tc_nat)))).
% 0.15/0.45 Following clause subsumed by 1462 during input processing: 0 [copy,1407,flip.1] {-} hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),c_Fact_Ofact__class_Ofact(c_Int_Onumber__class_Onumber__of(c_Int_OPls,tc_nat),tc_nat)))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Fact_Ofact__class_Ofact(c_Int_Onumber__class_Onumber__of(c_Int_OPls,tc_nat),tc_nat)),B)).
% 0.15/0.45 Following clause subsumed by 1461 during input processing: 0 [copy,1408,flip.1] {-} hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),B),A))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),c_Fact_Ofact__class_Ofact(c_Int_Onumber__class_Onumber__of(c_Int_OPls,tc_nat),tc_nat))),A).
% 0.15/0.45 1412 back subsumes 1409.
% 0.15/0.45 1414 back subsumes 1410.
% 0.15/0.45 Following clause subsumed by 1425 during input processing: 0 [copy,1415,flip.1] {-} hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),A)=hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Fact_Ofact__class_Ofact(c_Int_Onumber__class_Onumber__of(c_Int_OPls,tc_nat),tc_nat)),c_Fact_Ofact__class_Ofact(c_Int_Onumber__class_Onumber__of(c_Int_OPls,tc_nat),tc_nat))),A).
% 0.15/0.45 Following clause subsumed by 1423 during input processing: 0 [copy,1416,flip.1] {-} hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Fact_Ofact__class_Ofact(c_Int_Onumber__class_Onumber__of(c_Int_OPls,tc_nat),tc_nat)),c_Fact_Ofact__class_Ofact(c_Int_Onumber__class_Onumber__of(c_Int_OPls,tc_nat),tc_nat)))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Fact_Ofact__class_Ofact(c_Int_Onumber__class_Onumber__of(c_Int_OPls,tc_nat),tc_nat)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Fact_Ofact__class_Ofact(c_Int_Onumber__class_Onumber__of(c_Int_OPls,tc_nat),tc_nat)),A)).
% 0.15/0.45 Following clause subsumed by 1416 during input processing: 0 [copy,1423,flip.1] {-} hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Fact_Ofact__class_Ofact(c_Int_Onumber__class_Onumber__of(c_Int_OPls,tc_nat),tc_nat)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Fact_Ofact__class_Ofact(c_Int_Onumber__class_Onumber__of(c_Int_OPls,tc_nat),tc_nat)),A))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Fact_Ofact__class_Ofact(c_Int_Onumber__class_Onumber__of(c_Int_OPls,tc_nat),tc_nat)),c_Fact_Ofact__class_Ofact(c_Int_Onumber__class_Onumber__of(c_Int_OPls,tc_nat),tc_nat))).
% 0.15/0.45 Following clause subsumed by 1399 during input processing: 0 [copy,1424,flip.1] {-} hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Fact_Ofact__class_Ofact(c_Int_Onumber__class_Onumber__of(c_Int_OPls,tc_nat),tc_nat)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Fact_Ofact__class_Ofact(c_Int_Onumber__class_Onumber__of(c_Int_OPls,tc_nat),tc_nat)),c_Fact_Ofact__class_Ofact(c_Int_Onumber__class_Onumber__of(c_Int_OPls,tc_nat),tc_nat))))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Fact_Ofact__class_Ofact(c_Int_Onumber__class_Onumber__of(c_Int_OPls,tc_nat),tc_nat)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Fact_Ofact__class_Ofact(c_Int_Onumber__class_Onumber__of(c_Int_OPls,tc_nat),tc_nat)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Fact_Ofact__class_Ofact(c_Int_Onumber__class_Onumber__of(c_Int_OPls,tc_nat),tc_nat)),A))).
% 0.15/0.45 Following clause subsumed by 1415 during input processing: 0 [copy,1425,flip.1] {-} hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Fact_Ofact__class_Ofact(c_Int_Onumber__class_Onumber__of(c_Int_OPls,tc_nat),tc_nat)),c_Fact_Ofact__class_Ofact(c_Int_Onumber__class_Onumber__of(c_Int_OPls,tc_nat),tc_nat))),A)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),A).
% 0.15/0.45 Following clause subsumed by 1408 during input processing: 0 [copy,1461,flip.1] {-} hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),c_Fact_Ofact__class_Ofact(c_Int_Onumber__class_Onumber__of(c_Int_OPls,tc_nat),tc_nat))),B)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),B)).
% 0.15/0.45 Following clause subsumed by 1407 during input processing: 0 [copy,1462,flip.1] {-} hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Fact_Ofact__class_Ofact(c_Int_Onumber__class_Onumber__of(c_Int_OPls,tc_nat),tc_nat)),B))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),c_Fact_Ofact__class_Ofact(c_Int_Onumber__class_Onumber__of(c_Int_OPls,tc_nat),tc_nat))).
% 0.15/0.45 Following clause subsumed by 1412 during input processing: 0 [copy,1562,flip.1] {-} c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Fact_Ofact__class_Ofact(c_Int_Onumber__class_Onumber__of(c_Int_OPls,tc_nat),tc_nat)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Fact_Ofact__class_Ofact(c_Int_Onumber__class_Onumber__of(c_Int_OPls,tc_nat),tc_nat)),c_Fact_Ofact__class_Ofact(c_Int_Onumber__class_Onumber__of(c_Int_OPls,tc_nat),tc_nat)))),c_Int_Onumber__class_Onumber__of(B,tc_nat),tc_nat)=c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Fact_Ofact__class_Ofact(c_Int_Onumber__class_Onumber__of(c_Int_OPls,tc_nat),tc_nat)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Fact_Ofact__class_Ofact(c_Int_Onumber__class_Onumber__of(c_Int_OPls,tc_nat),tc_nat)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Fact_Ofact__class_Ofact(c_Int_Onumber__class_Onumber__of(c_Int_OPls,tc_nat),tc_nat)),A))),c_Int_Onumber__class_Onumber__of(B,tc_nat),tc_nat).
% 0.15/0.45 Following clause subsumed by 1414 during input processing: 0 [copy,1563,flip.1] {-} c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Fact_Ofact__class_Ofact(c_Int_Onumber__class_Onumber__of(c_Int_OPls,tc_nat),tc_nat)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Fact_Ofact__class_Ofact(c_Int_Onumber__class_Onumber__of(c_Int_OPls,tc_nat),tc_nat)),c_Fact_Ofact__class_Ofact(c_Int_Onumber__class_Onumber__of(c_Int_OPls,tc_nat),tc_nat)))),c_Int_Onumber__class_Onumber__of(B,tc_nat),tc_nat)=c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Fact_Ofact__class_Ofact(c_Int_Onumber__class_Onumber__of(c_Int_OPls,tc_nat),tc_nat)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Fact_Ofact__class_Ofact(c_Int_Onumber__class_Onumber__of(c_Int_OPls,tc_nat),tc_nat)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Fact_Ofact__class_Ofact(c_Int_Onumber__class_Onumber__of(c_Int_OPls,tc_nat),tc_nat)),A))),c_Int_Onumber__class_Onumber__of(B,tc_nat),tc_nat).
% 0.15/0.45 Following clause subsumed by 1411 during input processing: 0 [copy,1564,flip.1] {-} c_Divides_Odiv__class_Omod(A,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Fact_Ofact__class_Ofact(c_Int_Onumber__class_Onumber__of(c_Int_OPls,tc_nat),tc_nat)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Fact_Ofact__class_Ofact(c_Int_Onumber__class_Onumber__of(c_Int_OPls,tc_nat),tc_nat)),c_Fact_Ofact__class_Ofact(c_Int_Onumber__class_Onumber__of(c_Int_OPls,tc_nat),tc_nat)))),tc_nat)=c_Divides_Odiv__class_Omod(A,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Fact_Ofact__class_Ofact(c_Int_Onumber__class_Onumber__of(c_Int_OPls,tc_nat),tc_nat)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Fact_Ofact__class_Ofact(c_Int_Onumber__class_Onumber__of(c_Int_OPls,tc_nat),tc_nat)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Fact_Ofact__class_Ofact(c_Int_Onumber__class_Onumber__of(c_Int_OPls,tc_nat),tc_nat)),B))),tc_nat).
% 0.15/0.45 Following clause subsumed by 1412 during input processing: 0 [copy,1565,flip.1] {-} c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Fact_Ofact__class_Ofact(c_Int_Onumber__class_Onumber__of(c_Int_OPls,tc_nat),tc_nat)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Fact_Ofact__class_Ofact(c_Int_Onumber__class_Onumber__of(c_Int_OPls,tc_nat),tc_nat)),c_Fact_Ofact__class_Ofact(c_Int_Onumber__class_Onumber__of(c_Int_OPls,tc_nat),tc_nat)))),B,tc_nat)=c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Fact_Ofact__class_Ofact(c_Int_Onumber__class_Onumber__of(c_Int_OPls,tc_nat),tc_nat)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Fact_Ofact__class_Ofact(c_Int_Onumber__class_Onumber__of(c_Int_OPls,tc_nat),tc_nat)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Fact_Ofact__class_Ofact(c_Int_Onumber__class_Onumber__of(c_Int_OPls,tc_nat),tc_nat)),A))),B,tc_nat).
% 0.15/0.45 1565 back subsumes 1562.
% 0.15/0.45 Following clause subsumed by 1413 during input processing: 0 [copy,1566,flip.1] {-} c_Divides_Odiv__class_Odiv(A,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Fact_Ofact__class_Ofact(c_Int_Onumber__class_Onumber__of(c_Int_OPls,tc_nat),tc_nat)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Fact_Ofact__class_Ofact(c_Int_Onumber__class_Onumber__of(c_Int_OPls,tc_nat),tc_nat)),c_Fact_Ofact__class_Ofact(c_Int_Onumber__class_Onumber__of(c_Int_OPls,tc_nat),tc_nat)))),tc_nat)=c_Divides_Odiv__class_Odiv(A,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Fact_Ofact__class_Ofact(c_Int_Onumber__class_Onumber__of(c_Int_OPls,tc_nat),tc_nat)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Fact_Ofact__class_Ofact(c_Int_Onumber__class_Onumber__of(c_Int_OPls,tc_nat),tc_nat)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Fact_Ofact__class_Ofact(c_Int_Onumber__class_Onumber__of(c_Int_OPls,tc_nat),tc_nat)),B))),tc_nat).
% 0.15/0.45 Following clause subsumed by 1414 during input processing: 0 [copy,1567,flip.1] {-} c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Fact_Ofact__class_Ofact(c_Int_Onumber__class_Onumber__of(c_Int_OPls,tc_nat),tc_nat)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Fact_Ofact__class_Ofact(c_Int_Onumber__class_Onumber__of(c_Int_OPls,tc_nat),tc_nat)),c_Fact_Ofact__class_Ofact(c_Int_Onumber__class_Onumber__of(c_Int_OPls,tc_nat),tc_nat)))),B,tc_nat)=c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Fact_Ofact__class_Ofact(c_Int_Onumber__class_Onumber__of(c_Int_OPls,tc_nat),tc_nat)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Fact_Ofact__class_Ofact(c_Int_Onumber__class_Onumber__of(c_Int_OPls,tc_nat),tc_nat)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Fact_Ofact__class_Ofact(c_Int_Onumber__class_Onumber__of(c_Int_OPls,tc_nat),tc_nat)),A))),B,tc_nat).
% 0.15/0.45 1567 back subsumes 1563.
% 0.15/0.45
% 0.15/0.45 ======= end of input processing =======
% 0.48/0.70
% 0.48/0.70
% 0.48/0.70
% 0.48/0.70 Aborting on detection of an error:
% 0.48/0.70
% 0.48/0.70 Too many clauses (whew!).
% 0.48/0.70
%------------------------------------------------------------------------------