TSTP Solution File: SWV687-1 by SOS---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : SWV687-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n016.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 21:39:54 EDT 2022
% Result : Unknown 1.19s 1.45s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : SWV687-1 : TPTP v8.1.0. Released v4.1.0.
% 0.00/0.07 % Command : sos-script %s
% 0.07/0.26 % Computer : n016.cluster.edu
% 0.07/0.26 % Model : x86_64 x86_64
% 0.07/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26 % Memory : 8042.1875MB
% 0.07/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26 % CPULimit : 300
% 0.07/0.26 % WCLimit : 600
% 0.07/0.26 % DateTime : Wed Jun 15 21:37:18 EDT 2022
% 0.07/0.26 % CPUTime :
% 0.11/0.38 ----- Otter 3.2, August 2001 -----
% 0.11/0.38 The process was started by sandbox on n016.cluster.edu,
% 0.11/0.38 Wed Jun 15 21:37:18 2022
% 0.11/0.38 The command was "./sos". The process ID is 16771.
% 0.11/0.38
% 0.11/0.38 set(prolog_style_variables).
% 0.11/0.38 set(auto).
% 0.11/0.38 dependent: set(auto1).
% 0.11/0.38 dependent: set(process_input).
% 0.11/0.38 dependent: clear(print_kept).
% 0.11/0.38 dependent: clear(print_new_demod).
% 0.11/0.38 dependent: clear(print_back_demod).
% 0.11/0.38 dependent: clear(print_back_sub).
% 0.11/0.38 dependent: set(control_memory).
% 0.11/0.38 dependent: assign(max_mem, 12000).
% 0.11/0.38 dependent: assign(pick_given_ratio, 4).
% 0.11/0.38 dependent: assign(stats_level, 1).
% 0.11/0.38 dependent: assign(pick_semantic_ratio, 3).
% 0.11/0.38 dependent: assign(sos_limit, 5000).
% 0.11/0.38 dependent: assign(max_weight, 60).
% 0.11/0.38 clear(print_given).
% 0.11/0.38
% 0.11/0.38 list(usable).
% 0.11/0.38
% 0.11/0.38 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=7.
% 0.11/0.38
% 0.11/0.38 This ia a non-Horn set with equality. The strategy will be
% 0.11/0.38 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.11/0.38 unit deletion, with positive clauses in sos and nonpositive
% 0.11/0.38 clauses in usable.
% 0.11/0.38
% 0.11/0.38 dependent: set(knuth_bendix).
% 0.11/0.38 dependent: set(para_from).
% 0.11/0.38 dependent: set(para_into).
% 0.11/0.38 dependent: clear(para_from_right).
% 0.11/0.38 dependent: clear(para_into_right).
% 0.11/0.38 dependent: set(para_from_vars).
% 0.11/0.38 dependent: set(eq_units_both_ways).
% 0.11/0.38 dependent: set(dynamic_demod_all).
% 0.11/0.38 dependent: set(dynamic_demod).
% 0.11/0.38 dependent: set(order_eq).
% 0.11/0.38 dependent: set(back_demod).
% 0.11/0.38 dependent: set(lrpo).
% 0.11/0.38 dependent: set(hyper_res).
% 0.11/0.38 dependent: set(unit_deletion).
% 0.11/0.38 dependent: set(factor).
% 0.11/0.38
% 0.11/0.38 ------------> process usable:
% 0.11/0.38 Following clause subsumed by 5 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.
% 0.11/0.38 Following clause subsumed by 28 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),C))| -hBOOL(hAPP(c_lessequals(B,A),C))|C=B.
% 0.11/0.38 Following clause subsumed by 29 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|B=C| -hBOOL(hAPP(c_lessequals(B,A),C))|hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),C)).
% 0.11/0.38 Following clause subsumed by 30 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),C))|B=C| -hBOOL(hAPP(c_lessequals(B,A),C)).
% 0.11/0.38 Following clause subsumed by 30 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C|hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),C))| -hBOOL(hAPP(c_lessequals(B,A),C)).
% 0.11/0.38 Following clause subsumed by 30 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),C))|B=C| -hBOOL(hAPP(c_lessequals(B,A),C)).
% 0.11/0.38 Following clause subsumed by 39 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),B))|hBOOL(hAPP(c_lessequals(B,A),B)).
% 0.11/0.38 Following clause subsumed by 39 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(c_lessequals(B,A),C))|hBOOL(hAPP(c_HOL_Oord__class_Oless(C,A),B)).
% 0.11/0.38 Following clause subsumed by 39 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),C))|hBOOL(hAPP(c_lessequals(C,A),B)).
% 0.11/0.38 Following clause subsumed by 41 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -hBOOL(hAPP(c_lessequals(B,A),C))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(C,A),B)).
% 0.11/0.38 Following clause subsumed by 61 during input processing: 0 [] {-} hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(c_Suc,A),tc_nat),hAPP(c_Suc,B)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_nat),B)).
% 0.11/0.38 Following clause subsumed by 67 during input processing: 0 [] {-} hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),B),tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),C)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),A))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(B,tc_nat),C)).
% 0.11/0.38 Following clause subsumed by 66 during input processing: 0 [] {-} hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),B),tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),C),B)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),B))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_nat),C)).
% 0.11/0.38 Following clause subsumed by 67 during input processing: 0 [] {-} hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),B),tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),C)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(B,tc_nat),C))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),A)).
% 0.11/0.38 Following clause subsumed by 101 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)).
% 0.11/0.38 Following clause subsumed by 101 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)).
% 0.11/0.38 Following clause subsumed by 122 during input processing: 0 [] {-} hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_nat),B))| -hBOOL(hAPP(c_lessequals(hAPP(c_Suc,A),tc_nat),B)).
% 0.11/0.38 Following clause subsumed by 123 during input processing: 0 [] {-} hBOOL(hAPP(c_lessequals(hAPP(c_Suc,A),tc_nat),B))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_nat),B)).
% 0.11/0.38 Following clause subsumed by 124 during input processing: 0 [] {-} hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),C)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_nat),C)).
% 0.11/0.38 Following clause subsumed by 125 during input processing: 0 [] {-} hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),C)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_nat),B)).
% 0.11/0.38 Following clause subsumed by 146 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.
% 0.11/0.38 Following clause subsumed by 155 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)).
% 0.11/0.38 Following clause subsumed by 157 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)).
% 0.11/0.38 Following clause subsumed by 163 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)).
% 0.11/0.38 Following clause subsumed by 184 during input processing: 0 [flip.2] {-} -class_RealVector_Oreal__normed__algebra(A)|c_Series_Osuminf(hAPP(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(A),B),A,A,tc_nat),C),A)=hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),c_Series_Osuminf(C,A))| -c_Series_Osummable(C,A).
% 0.11/0.38 Following clause subsumed by 206 during input processing: 0 [] {-} hAPP(c_Suc,A)!=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.11/0.38 Following clause subsumed by 207 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.
% 0.11/0.38 Following clause subsumed by 209 during input processing: 0 [] {-} -hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_nat),c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.11/0.38 Following clause subsumed by 214 during input processing: 0 [] {-} hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)!=A|B=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.11/0.38 Following clause subsumed by 215 during input processing: 0 [] {-} c_HOL_Ozero__class_Ozero(tc_nat)!=hAPP(c_Suc,A).
% 0.11/0.38 Following clause subsumed by 226 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),C))|C=B|hBOOL(hAPP(c_HOL_Oord__class_Oless(C,A),B)).
% 0.11/0.38 Following clause subsumed by 226 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|B=C|hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),C))|hBOOL(hAPP(c_HOL_Oord__class_Oless(C,A),B)).
% 0.11/0.38 Following clause subsumed by 226 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|B=C|hBOOL(hAPP(c_HOL_Oord__class_Oless(C,A),B))|hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),C)).
% 0.11/0.38 Following clause subsumed by 236 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__field(A)|c_Deriv_Odifferentiable(B,C,A)| -c_Deriv_Oderiv(B,C,D,A).
% 0.11/0.38 Following clause subsumed by 242 during input processing: 0 [] {-} hAPP(c_Suc,A)!=A.
% 0.11/0.38 Following clause subsumed by 175 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__idom(A)| -c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(B,tc_nat),tc_nat)| -hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(A),C),c_Int_Onumber__class_Onumber__of(B,tc_nat)),A),c_HOL_Ozero__class_Ozero(A))).
% 0.11/0.38 Following clause subsumed by 124 during input processing: 0 [] {-} hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),B)).
% 0.11/0.38 Following clause subsumed by 125 during input processing: 0 [] {-} hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),A)).
% 0.11/0.38 Following clause subsumed by 257 during input processing: 0 [] {-} c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B),tc_nat)| -c_Parity_Oeven__odd__class_Oeven(B,tc_nat)| -c_Parity_Oeven__odd__class_Oeven(A,tc_nat).
% 0.11/0.38 Following clause subsumed by 259 during input processing: 0 [] {-} c_Parity_Oeven__odd__class_Oeven(A,tc_nat)| -c_Parity_Oeven__odd__class_Oeven(B,tc_nat)| -c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B),tc_nat).
% 0.11/0.38 Following clause subsumed by 258 during input processing: 0 [] {-} c_Parity_Oeven__odd__class_Oeven(A,tc_nat)| -c_Parity_Oeven__odd__class_Oeven(B,tc_nat)| -c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),A),tc_nat).
% 0.11/0.38 Following clause subsumed by 258 during input processing: 0 [] {-} -c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B),tc_nat)|c_Parity_Oeven__odd__class_Oeven(B,tc_nat)| -c_Parity_Oeven__odd__class_Oeven(A,tc_nat).
% 0.11/0.38 Following clause subsumed by 259 during input processing: 0 [] {-} -c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B),tc_nat)| -c_Parity_Oeven__odd__class_Oeven(B,tc_nat)|c_Parity_Oeven__odd__class_Oeven(A,tc_nat).
% 0.11/0.38 Following clause subsumed by 257 during input processing: 0 [] {-} -c_Parity_Oeven__odd__class_Oeven(A,tc_nat)| -c_Parity_Oeven__odd__class_Oeven(B,tc_nat)|c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),A),tc_nat).
% 0.11/0.38 Following clause subsumed by 264 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.
% 0.11/0.38 Following clause subsumed by 282 during input processing: 0 [] {-} -hBOOL(hAPP(c_lessequals(A,tc_nat),A))|hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_nat),hAPP(c_Suc,A))).
% 0.11/0.38 Following clause subsumed by 284 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__vector(A)|c_Series_Osummable(B,A)| -c_Series_Osums(B,C,A).
% 0.11/0.39 Following clause subsumed by 285 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__semidom(A)|hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C),A),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),D)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(A),A),B))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(C,tc_nat),D)).
% 0.11/0.39 Following clause subsumed by 286 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__semidom(A)|hBOOL(hAPP(c_HOL_Oord__class_Oless(B,tc_nat),C))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(A),D),B),A),hAPP(hAPP(c_Power_Opower__class_Opower(A),D),C)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(A),A),D)).
% 0.11/0.39 Following clause subsumed by 303 during input processing: 0 [] {-} hBOOL(hAPP(c_lessequals(A,tc_nat),B))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),C))| -hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),C),A),tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),C),B))).
% 0.11/0.39 Following clause subsumed by 322 during input processing: 0 [] {-} hBOOL(hAPP(c_lessequals(A,tc_nat),B))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_nat),B)).
% 0.11/0.39 Following clause subsumed by 326 during input processing: 0 [] {-} A=B|hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_nat),B))| -hBOOL(hAPP(c_lessequals(A,tc_nat),B)).
% 0.11/0.39 Following clause subsumed by 326 during input processing: 0 [] {-} hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_nat),B))|A=B| -hBOOL(hAPP(c_lessequals(A,tc_nat),B)).
% 0.11/0.39 Following clause subsumed by 328 during input processing: 0 [] {-} hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),B),tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),C)))| -hBOOL(hAPP(c_lessequals(B,tc_nat),C)).
% 0.11/0.39 Following clause subsumed by 327 during input processing: 0 [] {-} hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),B),tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),C),B)))| -hBOOL(hAPP(c_lessequals(A,tc_nat),C)).
% 0.11/0.39 Following clause subsumed by 332 during input processing: 0 [] {-} hBOOL(hAPP(c_lessequals(A,tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),C)))| -hBOOL(hAPP(c_lessequals(A,tc_nat),B)).
% 0.11/0.39 Following clause subsumed by 333 during input processing: 0 [] {-} hBOOL(hAPP(c_lessequals(A,tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),C)))| -hBOOL(hAPP(c_lessequals(A,tc_nat),C)).
% 0.11/0.39 Following clause subsumed by 342 during input processing: 0 [flip.2] {-} -hBOOL(hAPP(c_lessequals(A,tc_nat),B))|hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),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),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),B),A)),C)),D))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),B),C)),D).
% 0.11/0.39 Following clause subsumed by 354 during input processing: 0 [] {-} -hBOOL(hAPP(A,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),C)),B)))|hBOOL(hAPP(A,C)).
% 0.11/0.39 Following clause subsumed by 362 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).
% 0.11/0.39 Following clause subsumed by 365 during input processing: 0 [] {-} hAPP(c_Suc,A)!=hAPP(c_Suc,B)|A=B.
% 0.11/0.39 Following clause subsumed by 369 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.
% 0.11/0.39 Following clause subsumed by 370 during input processing: 0 [] {-} A=B|hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_nat),B))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_nat),hAPP(c_Suc,B))).
% 0.11/0.39 Following clause subsumed by 374 during input processing: 0 [] {-} -hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_nat),A)).
% 0.11/0.39 Following clause subsumed by 41 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -class_Int_Onumber(A)| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(B,A),A),c_Int_Onumber__class_Onumber__of(C,A)))| -hBOOL(hAPP(c_lessequals(c_Int_Onumber__class_Onumber__of(C,A),A),c_Int_Onumber__class_Onumber__of(B,A))).
% 0.11/0.39 Following clause subsumed by 39 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -class_Int_Onumber(A)|hBOOL(hAPP(c_lessequals(c_Int_Onumber__class_Onumber__of(B,A),A),c_Int_Onumber__class_Onumber__of(C,A)))|hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(C,A),A),c_Int_Onumber__class_Onumber__of(B,A))).
% 0.11/0.39 Following clause subsumed by 173 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__idom(A)|hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),c_Int_Onumber__class_Onumber__of(C,tc_nat))))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),B))|c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(C,tc_nat),tc_nat).
% 0.11/0.39 Following clause subsumed by 399 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__vector(A)| -c_Series_Osummable(B,A)|c_Series_Osums(B,c_Series_Osuminf(B,A),A).
% 0.11/0.39 Following clause subsumed by 172 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__idom(A)|hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),c_Int_Onumber__class_Onumber__of(C,tc_nat))))|B=c_HOL_Ozero__class_Ozero(A)| -c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(C,tc_nat),tc_nat).
% 0.11/0.39 Following clause subsumed by 84 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__idom(A)|hAPP(hAPP(c_Power_Opower__class_Opower(A),hAPP(c_HOL_Oabs__class_Oabs(A),B)),c_Int_Onumber__class_Onumber__of(C,tc_nat))=hAPP(hAPP(c_Power_Opower__class_Opower(A),B),c_Int_Onumber__class_Onumber__of(C,tc_nat))| -c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(C,tc_nat),tc_nat).
% 0.11/0.39 Following clause subsumed by 419 during input processing: 0 [] {-} -class_Orderings_Opreorder(A)| -hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),C))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(C,A),B)).
% 0.11/0.39 Following clause subsumed by 427 during input processing: 0 [flip.2] {-} -class_RealVector_Oreal__normed__algebra(A)|c_Series_Osuminf(hAPP(hAPP(c_COMBC(tc_nat,A,A),hAPP(c_COMBB(c_HOL_Otimes__class_Otimes(A),A,tc_fun(A,A),tc_nat),B)),C),A)=hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_Series_Osuminf(B,A)),C)| -c_Series_Osummable(B,A).
% 0.11/0.39 Following clause subsumed by 431 during input processing: 0 [flip.2] {-} -class_RealVector_Oreal__normed__field(A)|c_Series_Osuminf(hAPP(hAPP(c_COMBC(tc_nat,A,A),hAPP(c_COMBB(c_HOL_Oinverse__class_Odivide(A),A,tc_fun(A,A),tc_nat),B)),C),A)=hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),c_Series_Osuminf(B,A)),C)| -c_Series_Osummable(B,A).
% 0.11/0.39 Following clause subsumed by 530 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)| -class_RealVector_Ometric__space(B)|c_Lim_OLIM(hAPP(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(A),C),A,A,B),D),E,c_HOL_Ozero__class_Ozero(A),B,A)| -c_Lim_OLIM(D,E,c_HOL_Ozero__class_Ozero(A),B,A).
% 0.11/0.39 Following clause subsumed by 561 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__ring__strict(A)|hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C),A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(D,A),C)).
% 0.11/0.39 Following clause subsumed by 563 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__ring__strict(A)|hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C),A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(C,A),D))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),B)).
% 0.11/0.40 Following clause subsumed by 561 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__ring__strict(A)|hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C),A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(D,A),C))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),c_HOL_Ozero__class_Ozero(A))).
% 0.11/0.40 Following clause subsumed by 565 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__ring__strict(A)|hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C),A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),C)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(D,A),B))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(C,A),c_HOL_Ozero__class_Ozero(A))).
% 0.11/0.40 Following clause subsumed by 573 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__semiring__strict(A)|hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C),A),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),C)).
% 0.11/0.40 Following clause subsumed by 588 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__field(A)|c_Deriv_Oderiv(hAPP(c_COMBB(B,A,A,A),C),D,hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),E),F),A)| -c_Deriv_Oderiv(B,hAPP(C,D),E,A)| -c_Deriv_Oderiv(C,D,F,A).
% 0.11/0.40 Following clause subsumed by 630 during input processing: 0 [flip.2] {-} -class_Ring__and__Field_Oring(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),E),C)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),hAPP(hAPP(c_HOL_Ominus__class_Ominus(A),B),E)),C)),D))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)),D).
% 0.11/0.40 Following clause subsumed by 638 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__idom(A)|hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(A),A),B))| -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(A),A),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C)))|c_Parity_Oeven__odd__class_Oeven(C,tc_nat).
% 0.11/0.40 Following clause subsumed by 639 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__idom(A)|hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(A),A),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C)))| -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(A),A),B))|c_Parity_Oeven__odd__class_Oeven(C,tc_nat).
% 0.11/0.40 Following clause subsumed by 638 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__idom(A)|c_Parity_Oeven__odd__class_Oeven(B,tc_nat)|hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(A),A),C))| -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(A),A),hAPP(hAPP(c_Power_Opower__class_Opower(A),C),B))).
% 0.11/0.40 Following clause subsumed by 647 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__idom(A)|hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(A),A),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C)))| -c_Parity_Oeven__odd__class_Oeven(C,tc_nat).
% 0.11/0.40 Following clause subsumed by 669 during input processing: 0 [flip.4] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),c_Int_Onumber__class_Onumber__of(C,A))),c_Int_Onumber__class_Onumber__of(C,A))=B|c_Int_Onumber__class_Onumber__of(C,A)=c_HOL_Ozero__class_Ozero(A).
% 0.11/0.40 Following clause subsumed by 668 during input processing: 0 [flip.4] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(B,A)),C)),C)=c_Int_Onumber__class_Onumber__of(B,A)|C=c_HOL_Ozero__class_Ozero(A).
% 0.11/0.40 Following clause subsumed by 678 during input processing: 0 [flip.5] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_Int_Onumber__class_Onumber__of(B,A)!=c_HOL_Ozero__class_Ozero(A)|hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(B,A)),C)),C)=c_Int_Onumber__class_Onumber__of(B,A).
% 0.11/0.41 Following clause subsumed by 688 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),C),D)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),D))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D),A),C)).
% 0.11/0.41 Following clause subsumed by 689 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),C),A),D))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),C))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),C))).
% 0.11/0.41 Following clause subsumed by 693 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),c_Int_Onumber__class_Onumber__of(C,A))),c_Int_Onumber__class_Onumber__of(C,A))=B|c_Int_Onumber__class_Onumber__of(C,A)=c_HOL_Ozero__class_Ozero(A).
% 0.11/0.41 Following clause subsumed by 665 during input processing: 0 [flip.4] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_HOL_Ozero__class_Ozero(A)),c_Int_Onumber__class_Onumber__of(B,A))),c_Int_Onumber__class_Onumber__of(B,A))=c_HOL_Ozero__class_Ozero(A).
% 0.11/0.41 Following clause subsumed by 725 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|c_Series_Osums(hAPP(hAPP(c_COMBC(tc_nat,A,A),hAPP(c_COMBB(c_HOL_Otimes__class_Otimes(A),A,tc_fun(A,A),tc_nat),B)),C),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),C),A)| -c_Series_Osums(B,D,A).
% 0.11/0.41 Following clause subsumed by 726 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|c_Series_Osummable(hAPP(hAPP(c_COMBC(tc_nat,A,A),hAPP(c_COMBB(c_HOL_Otimes__class_Otimes(A),A,tc_fun(A,A),tc_nat),B)),C),A)| -c_Series_Osummable(B,A).
% 0.11/0.41 Following clause subsumed by 747 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|c_SEQ_OZseq(hAPP(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(A),B),A,A,tc_nat),C),A)| -c_SEQ_OZseq(C,A).
% 0.11/0.41 Following clause subsumed by 748 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|c_Series_Osummable(hAPP(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(A),B),A,A,tc_nat),C),A)| -c_Series_Osummable(C,A).
% 0.11/0.41 Following clause subsumed by 749 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|c_Series_Osums(hAPP(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(A),B),A,A,tc_nat),C),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D),A)| -c_Series_Osums(C,D,A).
% 0.11/0.41 Following clause subsumed by 768 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),C)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),C))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),B)).
% 0.11/0.41 Following clause subsumed by 767 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),C)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(C,A),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),c_HOL_Ozero__class_Ozero(A))).
% 0.11/0.41 Following clause subsumed by 775 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),C),A),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(C,A),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),B)).
% 0.11/0.41 Following clause subsumed by 774 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),C),A),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),C))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),c_HOL_Ozero__class_Ozero(A))).
% 0.11/0.41 Following clause subsumed by 776 during input processing: 0 [] {-} -class_OrderedGroup_Ocomm__monoid__add(A)|hAPP(hAPP(c_Finite__Set_Osetsum(B,A),C),D)=c_HOL_Ozero__class_Ozero(A)|c_Finite__Set_Ofinite(D,B).
% 0.11/0.41 Following clause subsumed by 779 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_Power_Opower__class_Opower(A),B),hAPP(c_Suc,C))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C)).
% 0.11/0.41 Following clause subsumed by 779 during input processing: 0 [flip.2] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_Power_Opower__class_Opower(A),B),hAPP(c_Suc,C))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C)).
% 0.11/0.41 Following clause subsumed by 786 during input processing: 0 [flip.3] {-} -class_Ring__and__Field_Ofield(A)| -class_Int_Onumber__ring(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),hAPP(c_HOL_Oinverse__class_Oinverse(A),C))=hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),C).
% 0.11/0.41 Following clause subsumed by 814 during input processing: 0 [flip.2] {-} -hBOOL(hAPP(c_lessequals(A,tc_nat),B))|hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),B),A)),A)=B.
% 0.11/0.41 Following clause subsumed by 809 during input processing: 0 [flip.1] {-} hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)),C)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),B),C))| -hBOOL(hAPP(c_lessequals(C,tc_nat),B)).
% 0.11/0.41 Following clause subsumed by 804 during input processing: 0 [] {-} hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),A),B),tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),C),B)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_nat),C))| -hBOOL(hAPP(c_lessequals(B,tc_nat),C))| -hBOOL(hAPP(c_lessequals(B,tc_nat),A)).
% 0.11/0.41 Following clause subsumed by 729 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|c_SEQ_OZseq(hAPP(hAPP(c_COMBC(tc_nat,A,A),hAPP(c_COMBB(c_HOL_Otimes__class_Otimes(A),A,tc_fun(A,A),tc_nat),B)),C),A)| -c_SEQ_OZseq(B,A).
% 0.11/0.41 Following clause subsumed by 828 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__field(A)|c_Series_Osummable(hAPP(hAPP(c_COMBC(tc_nat,A,A),hAPP(c_COMBB(c_HOL_Oinverse__class_Odivide(A),A,tc_fun(A,A),tc_nat),B)),C),A)| -c_Series_Osummable(B,A).
% 0.11/0.41 Following clause subsumed by 832 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__field(A)|c_Series_Osums(hAPP(hAPP(c_COMBC(tc_nat,A,A),hAPP(c_COMBB(c_HOL_Oinverse__class_Odivide(A),A,tc_fun(A,A),tc_nat),B)),C),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),D),C),A)| -c_Series_Osums(B,D,A).
% 0.11/0.41 Following clause subsumed by 846 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)| -class_RealVector_Ometric__space(B)|c_Lim_OLIM(hAPP(hAPP(c_COMBC(B,A,A),hAPP(c_COMBB(c_HOL_Otimes__class_Otimes(A),A,tc_fun(A,A),B),C)),D),E,c_HOL_Ozero__class_Ozero(A),B,A)| -c_Lim_OLIM(C,E,c_HOL_Ozero__class_Ozero(A),B,A).
% 0.11/0.41 Following clause subsumed by 861 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hBOOL(hAPP(c_lessequals(B,A),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),C),D)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),D))| -hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D),A),C)).
% 0.11/0.42 Following clause subsumed by 862 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),C),A),D))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),A),C))| -hBOOL(hAPP(c_lessequals(B,A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),C))).
% 0.11/0.42 Following clause subsumed by 882 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__semidom(A)|hBOOL(hAPP(c_lessequals(B,tc_nat),C))| -hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(A),D),B),A),hAPP(hAPP(c_Power_Opower__class_Opower(A),D),C)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(A),A),D)).
% 0.11/0.42 Following clause subsumed by 921 during input processing: 0 [] {-} -class_Ring__and__Field_Opordered__ring(A)|hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(A),A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)))| -hBOOL(hAPP(c_lessequals(C,A),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_lessequals(B,A),c_HOL_Ozero__class_Ozero(A))).
% 0.11/0.42 Following clause subsumed by 929 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)).
% 0.11/0.42 Following clause subsumed by 929 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)).
% 0.11/0.42 Following clause subsumed by 947 during input processing: 0 [] {-} -class_Ring__and__Field_Opordered__cancel__semiring(A)|hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C),A),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_lessequals(C,A),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(A),A),B)).
% 0.11/0.42 Following clause subsumed by 948 during input processing: 0 [] {-} -class_Ring__and__Field_Opordered__cancel__semiring(A)|hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C),A),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(A),A),C))| -hBOOL(hAPP(c_lessequals(B,A),c_HOL_Ozero__class_Ozero(A))).
% 0.11/0.42 Following clause subsumed by 948 during input processing: 0 [] {-} -class_Ring__and__Field_Opordered__cancel__semiring(A)|hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C),A),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_lessequals(B,A),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(A),A),C)).
% 0.11/0.42 Following clause subsumed by 976 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),C)),C)=B|C=c_HOL_Ozero__class_Ozero(A).
% 0.11/0.42 Following clause subsumed by 980 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).
% 0.11/0.42 Following clause subsumed by 981 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).
% 0.11/0.42 Following clause subsumed by 978 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).
% 0.11/0.42 Following clause subsumed by 974 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_HOL_Ozero__class_Ozero(A)),B)),B)=c_HOL_Ozero__class_Ozero(A).
% 0.11/0.42 Following clause subsumed by 1015 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C| -hBOOL(hAPP(c_lessequals(C,A),B))| -hBOOL(hAPP(c_lessequals(B,A),C)).
% 0.11/0.42 Following clause subsumed by 1015 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C| -hBOOL(hAPP(c_lessequals(C,A),B))| -hBOOL(hAPP(c_lessequals(B,A),C)).
% 0.11/0.42 Following clause subsumed by 1021 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)|B=c_HOL_Ozero__class_Ozero(A)|hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),C),B)),B)=C.
% 0.11/0.42 Following clause subsumed by 1021 during input processing: 0 [flip.3] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)),C)=B|C=c_HOL_Ozero__class_Ozero(A).
% 0.11/0.42 Following clause subsumed by 1021 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)),C)=B|C=c_HOL_Ozero__class_Ozero(A).
% 0.11/0.42 Following clause subsumed by 930 during input processing: 0 [] {-} -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)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),E))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)),E)).
% 0.11/0.42 Following clause subsumed by 929 during input processing: 0 [] {-} -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)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),E))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),C),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),E))).
% 0.11/0.42 Following clause subsumed by 955 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).
% 0.11/0.42 Following clause subsumed by 1026 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).
% 0.11/0.42 Following clause subsumed by 1031 during input processing: 0 [] {-} -class_OrderedGroup_Ogroup__add(A)|hAPP(hAPP(c_HOL_Ominus__class_Ominus(A),B),B)=c_HOL_Ozero__class_Ozero(A).
% 0.11/0.42 Following clause subsumed by 1042 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.
% 0.11/0.42 Following clause subsumed by 1048 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).
% 0.11/0.42 Following clause subsumed by 1050 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)|hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),B)=c_HOL_Oone__class_Oone(A)|B=c_HOL_Ozero__class_Ozero(A).
% 0.11/0.42 Following clause subsumed by 1050 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),B)=c_HOL_Oone__class_Oone(A)|B=c_HOL_Ozero__class_Ozero(A).
% 0.11/0.42 Following clause subsumed by 1068 during input processing: 0 [flip.2] {-} -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_HOL_Ominus__class_Ominus(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_Ominus__class_Ominus(A),C),D)).
% 0.11/0.42 Following clause subsumed by 1069 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),hAPP(hAPP(c_HOL_Ominus__class_Ominus(A),B),C)),D)=hAPP(hAPP(c_HOL_Ominus__class_Ominus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),C),D)).
% 0.11/0.48 Following clause subsumed by 986 during input processing: 0 [flip.2] {-} -class_Ring__and__Field_Ofield(A)|hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C)),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),D))=hAPP(hAPP(c_Power_Opower__class_Opower(A),B),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),C),D))| -hBOOL(hAPP(c_lessequals(D,tc_nat),C))|B=c_HOL_Ozero__class_Ozero(A).
% 0.11/0.48 Following clause subsumed by 1002 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),c_HOL_Ozero__class_Ozero(A))=c_HOL_Ozero__class_Ozero(A).
% 0.11/0.48 Following clause subsumed by 1002 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),c_HOL_Ozero__class_Ozero(A))=c_HOL_Ozero__class_Ozero(A).
% 0.11/0.48 Following clause subsumed by 1078 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__semidom(A)|hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(A),A),hAPP(c_Nat_Osemiring__1__class_Oof__nat(A),B))).
% 0.11/0.48 41 back subsumes 40.
% 0.11/0.48 44 back subsumes 42.
% 0.11/0.48 45 back subsumes 43.
% 0.11/0.48 56 back subsumes 55.
% 0.11/0.48 59 back subsumes 58.
% 0.11/0.48 79 back subsumes 78.
% 0.11/0.48 174 back subsumes 108.
% 0.11/0.48 Following clause subsumed by 215 during input processing: 0 [copy,206,flip.1] {-} c_HOL_Ozero__class_Ozero(tc_nat)!=hAPP(c_Suc,A).
% 0.11/0.48 209 back subsumes 205.
% 0.11/0.48 Following clause subsumed by 206 during input processing: 0 [copy,215,flip.1] {-} hAPP(c_Suc,A)!=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.11/0.48 233 back subsumes 87.
% 0.11/0.48 233 back subsumes 68.
% 0.11/0.48 328 back subsumes 302.
% 0.11/0.48 328 back subsumes 73.
% 0.11/0.48 381 back subsumes 380.
% 0.11/0.48 498 back subsumes 194.
% 0.11/0.48 500 back subsumes 195.
% 0.11/0.48 638 back subsumes 449.
% 0.11/0.48 639 back subsumes 448.
% 0.11/0.48 641 back subsumes 450.
% 0.11/0.48 645 back subsumes 446.
% 0.11/0.48 647 back subsumes 447.
% 0.11/0.48 656 back subsumes 453.
% 0.11/0.48 656 back subsumes 452.
% 0.11/0.48 657 back subsumes 454.
% 0.11/0.48 657 back subsumes 451.
% 0.11/0.48 658 back subsumes 458.
% 0.11/0.48 658 back subsumes 455.
% 0.11/0.48 659 back subsumes 457.
% 0.11/0.48 659 back subsumes 456.
% 0.11/0.48 670 back subsumes 485.
% 0.11/0.48 670 back subsumes 465.
% 0.11/0.48 671 back subsumes 468.
% 0.11/0.48 671 back subsumes 466.
% 0.11/0.48 672 back subsumes 472.
% 0.11/0.48 672 back subsumes 462.
% 0.11/0.48 673 back subsumes 473.
% 0.11/0.48 673 back subsumes 463.
% 0.11/0.48 674 back subsumes 486.
% 0.11/0.48 674 back subsumes 470.
% 0.11/0.48 675 back subsumes 471.
% 0.11/0.48 675 back subsumes 469.
% 0.11/0.48 676 back subsumes 480.
% 0.11/0.48 676 back subsumes 474.
% 0.11/0.48 677 back subsumes 481.
% 0.11/0.48 677 back subsumes 475.
% 0.11/0.48 683 back subsumes 482.
% 0.11/0.48 683 back subsumes 464.
% 0.11/0.48 684 back subsumes 487.
% 0.11/0.48 684 back subsumes 461.
% 0.11/0.48 685 back subsumes 483.
% 0.11/0.48 685 back subsumes 467.
% 0.11/0.48 686 back subsumes 488.
% 0.11/0.48 686 back subsumes 484.
% 0.11/0.48 688 back subsumes 489.
% 0.11/0.48 688 back subsumes 478.
% 0.11/0.48 689 back subsumes 491.
% 0.11/0.48 689 back subsumes 476.
% 0.11/0.48 690 back subsumes 490.
% 0.11/0.48 690 back subsumes 479.
% 0.11/0.48 691 back subsumes 492.
% 0.11/0.48 691 back subsumes 477.
% 0.11/0.48 703 back subsumes 497.
% 0.11/0.48 737 back subsumes 176.
% 0.11/0.48 763 back subsumes 192.
% 0.11/0.48 763 back subsumes 188.
% 0.11/0.48 764 back subsumes 191.
% 0.11/0.48 764 back subsumes 187.
% 0.11/0.48 765 back subsumes 190.
% 0.11/0.48 765 back subsumes 186.
% 0.11/0.48 766 back subsumes 189.
% 0.11/0.48 766 back subsumes 185.
% 0.11/0.48 793 back subsumes 791.
% 0.11/0.48 793 back subsumes 709.
% 0.11/0.48 793 back subsumes 289.
% 0.11/0.48 849 back subsumes 622.
% 0.11/0.48 849 back subsumes 621.
% 0.11/0.48 850 back subsumes 623.
% 0.11/0.48 850 back subsumes 620.
% 0.11/0.48 851 back subsumes 619.
% 0.11/0.48 851 back subsumes 604.
% 0.11/0.48 852 back subsumes 618.
% 0.11/0.48 852 back subsumes 605.
% 0.11/0.48 854 back subsumes 612.
% 0.11/0.48 854 back subsumes 609.
% 0.11/0.48 855 back subsumes 625.
% 0.11/0.48 855 back subsumes 610.
% 0.11/0.48 856 back subsumes 626.
% 0.11/0.48 856 back subsumes 611.
% 0.11/0.48 857 back subsumes 627.
% 0.11/0.48 857 back subsumes 624.
% 0.11/0.48 859 back subsumes 616.
% 0.11/0.48 859 back subsumes 606.
% 0.11/0.48 860 back subsumes 617.
% 0.11/0.48 860 back subsumes 615.
% 0.11/0.48 861 back subsumes 607.
% 0.11/0.48 861 back subsumes 603.
% 0.11/0.48 862 back subsumes 613.
% 0.11/0.48 862 back subsumes 601.
% 0.11/0.48 863 back subsumes 608.
% 0.11/0.48 863 back subsumes 602.
% 0.11/0.48 864 back subsumes 614.
% 0.11/0.48 864 back subsumes 600.
% 0.11/0.48 871 back subsumes 637.
% 0.11/0.48 873 back subsumes 636.
% 0.11/0.48 962 back subsumes 639.
% 0.11/0.48 974 back subsumes 665.
% 0.11/0.48 976 back subsumes 669.
% 0.11/0.48 1002 back subsumes 944.
% 0.11/0.48 1007 back subsumes 700.
% 0.11/0.48 1008 back subsumes 699.
% 0.11/0.48 1010 back subsumes 958.
% 0.11/0.48 1012 back subsumes 736.
% 0.11/0.48 1021 back subsumes 693.
% 0.11/0.48 1021 back subsumes 668.
% 0.11/0.48 1057 back subsumes 1056.
% 0.11/0.48 1063 back subsumes 643.
% 0.11/0.48 1079 back subsumes 853.
% 0.11/0.48 1079 back subsumes 847.
% 0.11/0.48 1080 back subsumes 858.
% 0.11/0.48 1080 back subsumes 848.
% 0.11/0.48 Following clause subsumed by 439 during input processing: 0 [copy,1154,flip.1] {-} c_FFT__Mirabelle_Oroot(A)!=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex).
% 0.11/0.48 1283 back subsumes 1282.
% 0.11/0.48
% 0.11/0.48 ------------> process sos:
% 0.11/0.48 Following clause subsumed by 1333 during input processing: 0 [] {-} hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),hAPP(c_Suc,A))).
% 0.11/0.48 Following clause subsumed by 1338 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)).
% 0.11/0.48 Following clause subsumed by 1341 during input processing: 0 [] {-} hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_nat),hAPP(c_Suc,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)))).
% 0.11/0.48 Following clause subsumed by 1350 during input processing: 0 [demod,1347,1347] {-} c_HOL_Ozero__class_Ozero(tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.11/0.48 Following clause subsumed by 1362 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(A,B),C))|hBOOL(hAPP(c_HOL_Oord__class_Oless(B,tc_nat),C))|C=B|hBOOL(hAPP(c_HOL_Oord__class_Oless(C,tc_nat),B)).
% 0.11/0.48 Following clause subsumed by 1362 during input processing: 0 [] {-} hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_nat),B))|hBOOL(hAPP(c_HOL_Oord__class_Oless(B,tc_nat),A))|B=A.
% 0.11/0.48 Following clause subsumed by 1363 during input processing: 0 [] {-} hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_nat),hAPP(c_Suc,A))).
% 0.11/0.48 Following clause subsumed by 1370 during input processing: 0 [] {-} c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B),tc_nat)|c_Parity_Oeven__odd__class_Oeven(B,tc_nat)|c_Parity_Oeven__odd__class_Oeven(A,tc_nat).
% 0.11/0.48 Following clause subsumed by 1370 during input processing: 0 [] {-} c_Parity_Oeven__odd__class_Oeven(A,tc_nat)|c_Parity_Oeven__odd__class_Oeven(B,tc_nat)|c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B),tc_nat).
% 0.11/0.48 Following clause subsumed by 1363 during input processing: 0 [unit_del,374] {-} hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_nat),hAPP(c_Suc,A))).
% 0.11/0.48 Following clause subsumed by 1382 during input processing: 0 [] {-} hBOOL(hAPP(c_lessequals(A,tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B))).
% 0.11/0.48 Following clause subsumed by 1382 during input processing: 0 [] {-} hBOOL(hAPP(c_lessequals(A,tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B))).
% 0.11/0.48 Following clause subsumed by 1357 during input processing: 0 [demod,1411] {-} hAPP(c_Suc,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B))=hAPP(c_Suc,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)).
% 0.11/0.48 Following clause subsumed by 1363 during input processing: 0 [] {-} hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)))).
% 0.11/0.48 Following clause subsumed by 1357 during input processing: 0 [demod,1361,1347,1355] {-} hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))=hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)).
% 0.11/0.48 Following clause subsumed by 1357 during input processing: 0 [demod,1355] {-} hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))=hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)).
% 0.11/0.48 Following clause subsumed by 1357 during input processing: 0 [demod,1411,1355] {-} hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))=hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)).
% 0.11/0.48 Following clause subsumed by 1425 during input processing: 0 [] {-} hBOOL(hAPP(c_lessequals(A,tc_nat),A)).
% 0.11/0.48 Following clause subsumed by 1435 during input processing: 0 [] {-} hAPP(c_COMBS(A,B,C,D,E),F)=hAPP(hAPP(A,F),hAPP(B,F)).
% 0.11/0.48 Following clause subsumed by 1434 during input processing: 0 [] {-} hAPP(hAPP(hAPP(c_COMBC(A,B,C),D),E),F)=hAPP(hAPP(D,F),E).
% 0.11/0.48 Following clause subsumed by 1357 during input processing: 0 [demod,1433] {-} hAPP(A,hAPP(E,F))=hAPP(A,hAPP(E,F)).
% 0.11/0.48 Following clause subsumed by 1357 during input processing: 0 [] {-} A=A.
% 0.11/0.48 Following clause subsumed by 1334 during input processing: 0 [copy,1334,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)).
% 0.11/0.48 Following clause subsumed by 1337 during input processing: 0 [copy,1337,flip.1] {-} hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),B)=hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),B),A).
% 0.11/0.48 Following clause subsumed by 1357 during input processing: 0 [copy,1350,flip.1] {-} c_HOL_Ozero__class_Ozero(tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.11/0.48 Following clause subsumed by 1357 during input processing: 0 [copy,1357,flip.1] {-} A=A.
% 0.11/0.48 1357 back subsumes 1350.
% 0.11/0.48 1357 back subsumes 1315.
% 0.11/0.48 1357 back subsumes 1306.
% 0.11/0.48 1357 back subsumes 1305.
% 0.11/0.48 1357 back subsumes 1304.
% 0.11/0.48 1357 back subsumes 1273.
% 0.11/0.48 1357 back subsumes 1255.
% 0.11/0.48 1357 back subsumes 1193.
% 0.11/0.48 1357 back subsumes 1124.
% 0.11/0.48 1357 back subsumes 1123.
% 0.11/0.48 1357 back subsumes 1122.
% 0.11/0.48 1357 back subsumes 1121.
% 0.11/0.48 1357 back subsumes 1120.
% 0.11/0.48 1357 back subsumes 1091.
% 0.11/0.48 1357 back subsumes 1090.
% 0.11/0.48 1357 back subsumes 1089.
% 0.11/0.48 Following clause subsumed by 1412 during input processing: 0 [copy,1412,flip.1] {-} hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),A).
% 0.11/0.48 1425 back subsumes 1424.
% 0.11/0.48 1425 back subsumes 1386.
% 0.11/0.48 1425 back subsumes 1313.
% 0.11/0.48 Following clause subsumed by 1439 during input processing: 0 [copy,1439,flip.1] {-} hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),A),B)),C)=hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),A),C)),B).
% 0.11/0.48 Following clause subsumed by 1578 during input processing: 0 [copy,1578,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)).
% 0.11/0.48 Following clause subsumed by 1359 during input processing: 0 [copy,1580,flip.1] {-} hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(c_Suc,A)),B)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),B)).
% 0.11/0.48 Following clause subsumed by 1369 during input processing: 0 [copy,1581,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)).
% 0.11/0.48 Following clause subsumed by 1396 during input processing: 0 [copy,1583,flip.1] {-} hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),A),B)),C)=hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),C)).
% 0.11/0.48 Following clause subsumed by 1398 during input processing: 0 [copy,1585,flip.1] {-} hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),A),B)),C)=hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),C)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),B),C)).
% 0.11/0.48 Following clause subsumed by 1414 during input processing: 0 [copy,1588,flip.1] {-} hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B))=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.11/0.48 Following clause subsumed by 1429 during input processing: 0 [copy,1589,flip.1] {-} hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),A),A)=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.11/0.48 Following clause subsumed by 1434 during input processing: 0 [copy,1590,flip.1] {-} hAPP(hAPP(hAPP(c_COMBC(A,B,C),D),E),F)=hAPP(hAPP(D,F),E).
% 0.11/0.48 Following clause subsumed by 1435 during input processing: 0 [copy,1591,flip.1] {-} hAPP(c_COMBS(A,B,C,D,E),F)=hAPP(hAPP(A,F),hAPP(B,F)).
% 0.11/0.48
% 0.11/0.48 ======= end of input processing =======
% 1.19/1.45
% 1.19/1.45 Stopped by limit on insertions
% 1.19/1.45
% 1.19/1.45
% 1.19/1.45
% 1.19/1.45 Aborting on detection of an error:
% 1.19/1.45
% 1.19/1.45 Too many clauses (whew!).
% 1.19/1.45
%------------------------------------------------------------------------------