%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : SWV688-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n023.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 1.39s 1.62s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV688-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.12 % Command : sos-script %s
% 0.13/0.34 % Computer : n023.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Thu Jun 16 03:30:50 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.38/0.55 ----- Otter 3.2, August 2001 -----
% 0.38/0.55 The process was started by sandbox on n023.cluster.edu,
% 0.38/0.55 Thu Jun 16 03:30:50 2022
% 0.38/0.55 The command was "./sos". The process ID is 7032.
% 0.38/0.55
% 0.38/0.55 set(prolog_style_variables).
% 0.38/0.55 set(auto).
% 0.38/0.55 dependent: set(auto1).
% 0.38/0.55 dependent: set(process_input).
% 0.38/0.55 dependent: clear(print_kept).
% 0.38/0.55 dependent: clear(print_new_demod).
% 0.38/0.55 dependent: clear(print_back_demod).
% 0.38/0.55 dependent: clear(print_back_sub).
% 0.38/0.55 dependent: set(control_memory).
% 0.38/0.55 dependent: assign(max_mem, 12000).
% 0.38/0.55 dependent: assign(pick_given_ratio, 4).
% 0.38/0.55 dependent: assign(stats_level, 1).
% 0.38/0.55 dependent: assign(pick_semantic_ratio, 3).
% 0.38/0.55 dependent: assign(sos_limit, 5000).
% 0.38/0.55 dependent: assign(max_weight, 60).
% 0.38/0.55 clear(print_given).
% 0.38/0.55
% 0.38/0.55 list(usable).
% 0.38/0.55
% 0.38/0.55 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=7.
% 0.38/0.55
% 0.38/0.55 This ia a non-Horn set with equality. The strategy will be
% 0.38/0.55 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.38/0.55 unit deletion, with positive clauses in sos and nonpositive
% 0.38/0.55 clauses in usable.
% 0.38/0.55
% 0.38/0.55 dependent: set(knuth_bendix).
% 0.38/0.55 dependent: set(para_from).
% 0.38/0.55 dependent: set(para_into).
% 0.38/0.55 dependent: clear(para_from_right).
% 0.38/0.55 dependent: clear(para_into_right).
% 0.38/0.55 dependent: set(para_from_vars).
% 0.38/0.55 dependent: set(eq_units_both_ways).
% 0.38/0.55 dependent: set(dynamic_demod_all).
% 0.38/0.55 dependent: set(dynamic_demod).
% 0.38/0.55 dependent: set(order_eq).
% 0.38/0.55 dependent: set(back_demod).
% 0.38/0.55 dependent: set(lrpo).
% 0.38/0.55 dependent: set(hyper_res).
% 0.38/0.55 dependent: set(unit_deletion).
% 0.38/0.55 dependent: set(factor).
% 0.38/0.55
% 0.38/0.55 ------------> process usable:
% 0.38/0.55 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.
% 0.38/0.55 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.
% 0.38/0.55 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)).
% 0.38/0.55 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)).
% 0.38/0.55 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)).
% 0.38/0.55 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)).
% 0.38/0.55 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)).
% 0.38/0.55 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)).
% 0.38/0.55 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)).
% 0.38/0.55 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)).
% 0.38/0.55 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)).
% 0.38/0.55 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)).
% 0.38/0.55 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)).
% 0.38/0.55 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)).
% 0.38/0.55 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)).
% 0.38/0.55 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)).
% 0.38/0.55 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)).
% 0.38/0.55 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)).
% 0.38/0.55 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)).
% 0.38/0.55 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)).
% 0.38/0.55 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.
% 0.38/0.55 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)).
% 0.38/0.55 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)).
% 0.38/0.55 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)).
% 0.38/0.55 Following clause subsumed by 185 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),c_Series_Osuminf(C,A))=c_Series_Osuminf(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(A),B),C,A,A,tc_nat),A)| -c_Series_Osummable(C,A).
% 0.38/0.55 Following clause subsumed by 207 during input processing: 0 [] {-} hAPP(c_Suc,A)!=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.38/0.55 Following clause subsumed by 208 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.
% 0.38/0.55 Following clause subsumed by 210 during input processing: 0 [] {-} -hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_nat),c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.38/0.56 Following clause subsumed by 215 during input processing: 0 [] {-} hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)!=A|B=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.38/0.56 Following clause subsumed by 216 during input processing: 0 [] {-} c_HOL_Ozero__class_Ozero(tc_nat)!=hAPP(c_Suc,A).
% 0.38/0.56 Following clause subsumed by 227 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)).
% 0.38/0.56 Following clause subsumed by 227 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)).
% 0.38/0.56 Following clause subsumed by 227 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)).
% 0.38/0.56 Following clause subsumed by 237 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__field(A)|c_Deriv_Odifferentiable(B,C,A)| -c_Deriv_Oderiv(B,C,D,A).
% 0.38/0.56 Following clause subsumed by 243 during input processing: 0 [] {-} hAPP(c_Suc,A)!=A.
% 0.38/0.56 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))).
% 0.38/0.56 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)).
% 0.38/0.56 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)).
% 0.38/0.56 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).
% 0.38/0.56 Following clause subsumed by 260 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).
% 0.38/0.56 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),B),A),tc_nat).
% 0.38/0.56 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).
% 0.38/0.56 Following clause subsumed by 260 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).
% 0.38/0.56 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).
% 0.38/0.56 Following clause subsumed by 265 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.
% 0.38/0.56 Following clause subsumed by 283 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))).
% 0.38/0.56 Following clause subsumed by 285 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__vector(A)|c_Series_Osummable(B,A)| -c_Series_Osums(B,C,A).
% 0.38/0.56 Following clause subsumed by 286 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)).
% 0.38/0.56 Following clause subsumed by 287 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)).
% 0.38/0.56 Following clause subsumed by 304 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))).
% 0.38/0.56 Following clause subsumed by 323 during input processing: 0 [] {-} hBOOL(hAPP(c_lessequals(A,tc_nat),B))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_nat),B)).
% 0.38/0.56 Following clause subsumed by 327 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)).
% 0.38/0.56 Following clause subsumed by 327 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)).
% 0.38/0.56 Following clause subsumed by 329 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)).
% 0.38/0.56 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),C),B)))| -hBOOL(hAPP(c_lessequals(A,tc_nat),C)).
% 0.38/0.56 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),B)).
% 0.38/0.56 Following clause subsumed by 334 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)).
% 0.38/0.56 Following clause subsumed by 343 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).
% 0.38/0.56 Following clause subsumed by 355 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)).
% 0.38/0.56 Following clause subsumed by 363 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).
% 0.38/0.56 Following clause subsumed by 366 during input processing: 0 [] {-} hAPP(c_Suc,A)!=hAPP(c_Suc,B)|A=B.
% 0.38/0.56 Following clause subsumed by 370 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.
% 0.38/0.56 Following clause subsumed by 371 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))).
% 0.38/0.56 Following clause subsumed by 375 during input processing: 0 [] {-} -hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_nat),A)).
% 0.38/0.56 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))).
% 0.38/0.56 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))).
% 0.38/0.56 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).
% 0.38/0.56 Following clause subsumed by 400 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).
% 0.38/0.56 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).
% 0.38/0.56 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).
% 0.38/0.56 Following clause subsumed by 420 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)).
% 0.38/0.56 Following clause subsumed by 427 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_Series_Osuminf(B,A)),C)=c_Series_Osuminf(hAPP(c_COMBC(c_COMBB(c_HOL_Otimes__class_Otimes(A),B,A,tc_fun(A,A),tc_nat),tc_nat,A,A),C),A)| -c_Series_Osummable(B,A).
% 0.38/0.56 Following clause subsumed by 432 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__field(A)|hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),c_Series_Osuminf(B,A)),C)=c_Series_Osuminf(hAPP(c_COMBC(c_COMBB(c_HOL_Oinverse__class_Odivide(A),B,A,tc_fun(A,A),tc_nat),tc_nat,A,A),C),A)| -c_Series_Osummable(B,A).
% 0.38/0.56 Following clause subsumed by 531 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)| -class_RealVector_Ometric__space(B)|c_Lim_OLIM(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(A),C),D,A,A,B),E,c_HOL_Ozero__class_Ozero(A),B,A)| -c_Lim_OLIM(D,E,c_HOL_Ozero__class_Ozero(A),B,A).
% 0.38/0.56 Following clause subsumed by 562 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)).
% 0.38/0.56 Following clause subsumed by 564 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)).
% 0.38/0.57 Following clause subsumed by 562 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))).
% 0.38/0.57 Following clause subsumed by 566 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))).
% 0.38/0.57 Following clause subsumed by 574 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)).
% 0.38/0.57 Following clause subsumed by 589 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__field(A)|c_Deriv_Oderiv(c_COMBB(B,C,A,A,A),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).
% 0.38/0.57 Following clause subsumed by 631 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).
% 0.38/0.57 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),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).
% 0.38/0.57 Following clause subsumed by 640 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).
% 0.38/0.57 Following clause subsumed by 639 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))).
% 0.38/0.57 Following clause subsumed by 648 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).
% 0.38/0.57 Following clause subsumed by 670 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).
% 0.38/0.57 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_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).
% 0.38/0.57 Following clause subsumed by 679 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).
% 0.38/0.57 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(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)).
% 0.38/0.57 Following clause subsumed by 690 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))).
% 0.38/0.57 Following clause subsumed by 694 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).
% 0.38/0.57 Following clause subsumed by 666 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).
% 0.38/0.57 Following clause subsumed by 726 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|c_Series_Osums(hAPP(c_COMBC(c_COMBB(c_HOL_Otimes__class_Otimes(A),B,A,tc_fun(A,A),tc_nat),tc_nat,A,A),C),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),C),A)| -c_Series_Osums(B,D,A).
% 0.38/0.57 Following clause subsumed by 727 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|c_Series_Osummable(hAPP(c_COMBC(c_COMBB(c_HOL_Otimes__class_Otimes(A),B,A,tc_fun(A,A),tc_nat),tc_nat,A,A),C),A)| -c_Series_Osummable(B,A).
% 0.38/0.57 Following clause subsumed by 748 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|c_SEQ_OZseq(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(A),B),C,A,A,tc_nat),A)| -c_SEQ_OZseq(C,A).
% 0.38/0.57 Following clause subsumed by 749 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|c_Series_Osummable(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(A),B),C,A,A,tc_nat),A)| -c_Series_Osummable(C,A).
% 0.38/0.57 Following clause subsumed by 750 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|c_Series_Osums(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(A),B),C,A,A,tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D),A)| -c_Series_Osums(C,D,A).
% 0.38/0.57 Following clause subsumed by 769 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)).
% 0.38/0.57 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,A),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),c_HOL_Ozero__class_Ozero(A))).
% 0.38/0.57 Following clause subsumed by 776 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)).
% 0.38/0.58 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_HOL_Ozero__class_Ozero(A),A),C))| -hBOOL(hAPP(c_HOL_Oord__class_Oless(B,A),c_HOL_Ozero__class_Ozero(A))).
% 0.38/0.58 Following clause subsumed by 777 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).
% 0.38/0.58 Following clause subsumed by 780 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)).
% 0.38/0.58 Following clause subsumed by 780 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)).
% 0.38/0.58 Following clause subsumed by 787 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).
% 0.38/0.58 Following clause subsumed by 815 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.
% 0.38/0.58 Following clause subsumed by 810 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)).
% 0.38/0.58 Following clause subsumed by 805 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)).
% 0.38/0.58 Following clause subsumed by 730 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|c_SEQ_OZseq(hAPP(c_COMBC(c_COMBB(c_HOL_Otimes__class_Otimes(A),B,A,tc_fun(A,A),tc_nat),tc_nat,A,A),C),A)| -c_SEQ_OZseq(B,A).
% 0.38/0.58 Following clause subsumed by 829 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__field(A)|c_Series_Osummable(hAPP(c_COMBC(c_COMBB(c_HOL_Oinverse__class_Odivide(A),B,A,tc_fun(A,A),tc_nat),tc_nat,A,A),C),A)| -c_Series_Osummable(B,A).
% 0.38/0.58 Following clause subsumed by 833 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__field(A)|c_Series_Osums(hAPP(c_COMBC(c_COMBB(c_HOL_Oinverse__class_Odivide(A),B,A,tc_fun(A,A),tc_nat),tc_nat,A,A),C),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),D),C),A)| -c_Series_Osums(B,D,A).
% 0.38/0.58 Following clause subsumed by 847 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)| -class_RealVector_Ometric__space(B)|c_Lim_OLIM(hAPP(c_COMBC(c_COMBB(c_HOL_Otimes__class_Otimes(A),C,A,tc_fun(A,A),B),B,A,A),D),E,c_HOL_Ozero__class_Ozero(A),B,A)| -c_Lim_OLIM(C,E,c_HOL_Ozero__class_Ozero(A),B,A).
% 0.38/0.58 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(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)).
% 0.38/0.59 Following clause subsumed by 863 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))).
% 0.38/0.59 Following clause subsumed by 883 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)).
% 0.38/0.59 Following clause subsumed by 923 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))).
% 0.38/0.59 Following clause subsumed by 931 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)).
% 0.38/0.59 Following clause subsumed by 931 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)).
% 0.38/0.59 Following clause subsumed by 949 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)).
% 0.38/0.59 Following clause subsumed by 950 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))).
% 0.38/0.59 Following clause subsumed by 950 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)).
% 0.38/0.59 Following clause subsumed by 978 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).
% 0.38/0.59 Following clause subsumed by 982 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).
% 0.38/0.59 Following clause subsumed by 983 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).
% 0.38/0.59 Following clause subsumed by 980 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).
% 0.38/0.59 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_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).
% 0.38/0.59 Following clause subsumed by 1017 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C| -hBOOL(hAPP(c_lessequals(C,A),B))| -hBOOL(hAPP(c_lessequals(B,A),C)).
% 0.38/0.59 Following clause subsumed by 1017 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C| -hBOOL(hAPP(c_lessequals(C,A),B))| -hBOOL(hAPP(c_lessequals(B,A),C)).
% 0.38/0.59 Following clause subsumed by 1023 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.
% 0.38/0.59 Following clause subsumed by 1023 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).
% 0.38/0.59 Following clause subsumed by 1023 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).
% 0.38/0.59 Following clause subsumed by 932 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)).
% 0.38/0.59 Following clause subsumed by 931 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))).
% 0.38/0.59 Following clause subsumed by 957 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).
% 0.38/0.59 Following clause subsumed by 1028 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).
% 0.38/0.59 Following clause subsumed by 1033 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).
% 0.38/0.59 Following clause subsumed by 1044 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.
% 0.38/0.59 Following clause subsumed by 1050 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).
% 0.38/0.59 Following clause subsumed by 1052 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).
% 0.38/0.59 Following clause subsumed by 1052 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).
% 0.38/0.59 Following clause subsumed by 1070 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)).
% 0.38/0.59 Following clause subsumed by 1071 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)).
% 0.38/0.59 Following clause subsumed by 988 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).
% 0.46/0.65 Following clause subsumed by 1004 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).
% 0.46/0.65 Following clause subsumed by 1004 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).
% 0.46/0.65 Following clause subsumed by 1080 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))).
% 0.46/0.65 41 back subsumes 40.
% 0.46/0.65 44 back subsumes 42.
% 0.46/0.65 45 back subsumes 43.
% 0.46/0.65 56 back subsumes 55.
% 0.46/0.65 59 back subsumes 58.
% 0.46/0.65 79 back subsumes 78.
% 0.46/0.65 174 back subsumes 108.
% 0.46/0.65 Following clause subsumed by 216 during input processing: 0 [copy,207,flip.1] {-} c_HOL_Ozero__class_Ozero(tc_nat)!=hAPP(c_Suc,A).
% 0.46/0.65 210 back subsumes 206.
% 0.46/0.65 Following clause subsumed by 207 during input processing: 0 [copy,216,flip.1] {-} hAPP(c_Suc,A)!=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.46/0.65 234 back subsumes 87.
% 0.46/0.65 234 back subsumes 68.
% 0.46/0.65 329 back subsumes 303.
% 0.46/0.65 329 back subsumes 73.
% 0.46/0.65 382 back subsumes 381.
% 0.46/0.65 499 back subsumes 195.
% 0.46/0.65 501 back subsumes 196.
% 0.46/0.65 639 back subsumes 450.
% 0.46/0.65 640 back subsumes 449.
% 0.46/0.65 642 back subsumes 451.
% 0.46/0.65 646 back subsumes 447.
% 0.46/0.65 648 back subsumes 448.
% 0.46/0.65 657 back subsumes 454.
% 0.46/0.65 657 back subsumes 453.
% 0.46/0.65 658 back subsumes 455.
% 0.46/0.65 658 back subsumes 452.
% 0.46/0.65 659 back subsumes 459.
% 0.46/0.65 659 back subsumes 456.
% 0.46/0.65 660 back subsumes 458.
% 0.46/0.65 660 back subsumes 457.
% 0.46/0.65 671 back subsumes 486.
% 0.46/0.65 671 back subsumes 466.
% 0.46/0.65 672 back subsumes 469.
% 0.46/0.65 672 back subsumes 467.
% 0.46/0.65 673 back subsumes 473.
% 0.46/0.65 673 back subsumes 463.
% 0.46/0.65 674 back subsumes 474.
% 0.46/0.65 674 back subsumes 464.
% 0.46/0.65 675 back subsumes 487.
% 0.46/0.65 675 back subsumes 471.
% 0.46/0.65 676 back subsumes 472.
% 0.46/0.65 676 back subsumes 470.
% 0.46/0.65 677 back subsumes 481.
% 0.46/0.65 677 back subsumes 475.
% 0.46/0.65 678 back subsumes 482.
% 0.46/0.65 678 back subsumes 476.
% 0.46/0.65 684 back subsumes 483.
% 0.46/0.65 684 back subsumes 465.
% 0.46/0.65 685 back subsumes 488.
% 0.46/0.65 685 back subsumes 462.
% 0.46/0.65 686 back subsumes 484.
% 0.46/0.65 686 back subsumes 468.
% 0.46/0.65 687 back subsumes 489.
% 0.46/0.65 687 back subsumes 485.
% 0.46/0.65 689 back subsumes 490.
% 0.46/0.65 689 back subsumes 479.
% 0.46/0.65 690 back subsumes 492.
% 0.46/0.65 690 back subsumes 477.
% 0.46/0.65 691 back subsumes 491.
% 0.46/0.65 691 back subsumes 480.
% 0.46/0.65 692 back subsumes 493.
% 0.46/0.65 692 back subsumes 478.
% 0.46/0.65 704 back subsumes 498.
% 0.46/0.65 738 back subsumes 176.
% 0.46/0.65 764 back subsumes 193.
% 0.46/0.65 764 back subsumes 189.
% 0.46/0.65 765 back subsumes 192.
% 0.46/0.65 765 back subsumes 188.
% 0.46/0.65 766 back subsumes 191.
% 0.46/0.65 766 back subsumes 187.
% 0.46/0.65 767 back subsumes 190.
% 0.46/0.65 767 back subsumes 186.
% 0.46/0.65 794 back subsumes 792.
% 0.46/0.65 794 back subsumes 710.
% 0.46/0.65 794 back subsumes 290.
% 0.46/0.65 850 back subsumes 623.
% 0.46/0.65 850 back subsumes 622.
% 0.46/0.65 851 back subsumes 624.
% 0.46/0.65 851 back subsumes 621.
% 0.46/0.65 852 back subsumes 620.
% 0.46/0.65 852 back subsumes 605.
% 0.46/0.65 853 back subsumes 619.
% 0.46/0.65 853 back subsumes 606.
% 0.46/0.65 855 back subsumes 613.
% 0.46/0.65 855 back subsumes 610.
% 0.46/0.65 856 back subsumes 626.
% 0.46/0.65 856 back subsumes 611.
% 0.46/0.65 857 back subsumes 627.
% 0.46/0.65 857 back subsumes 612.
% 0.46/0.65 858 back subsumes 628.
% 0.46/0.65 858 back subsumes 625.
% 0.46/0.65 860 back subsumes 617.
% 0.46/0.65 860 back subsumes 607.
% 0.46/0.65 861 back subsumes 618.
% 0.46/0.65 861 back subsumes 616.
% 0.46/0.65 862 back subsumes 608.
% 0.46/0.65 862 back subsumes 604.
% 0.46/0.65 863 back subsumes 614.
% 0.46/0.65 863 back subsumes 602.
% 0.46/0.65 864 back subsumes 609.
% 0.46/0.65 864 back subsumes 603.
% 0.46/0.65 865 back subsumes 615.
% 0.46/0.65 865 back subsumes 601.
% 0.46/0.65 872 back subsumes 638.
% 0.46/0.65 874 back subsumes 637.
% 0.46/0.65 964 back subsumes 640.
% 0.46/0.65 976 back subsumes 666.
% 0.46/0.65 978 back subsumes 670.
% 0.46/0.65 1004 back subsumes 946.
% 0.46/0.65 1009 back subsumes 701.
% 0.46/0.65 1010 back subsumes 700.
% 0.46/0.65 1012 back subsumes 960.
% 0.46/0.65 1014 back subsumes 737.
% 0.46/0.65 1023 back subsumes 694.
% 0.46/0.65 1023 back subsumes 669.
% 0.46/0.65 1059 back subsumes 1058.
% 0.46/0.65 1065 back subsumes 644.
% 0.46/0.65 1081 back subsumes 854.
% 0.46/0.65 1081 back subsumes 848.
% 0.46/0.65 1082 back subsumes 859.
% 0.46/0.65 1082 back subsumes 849.
% 0.46/0.65 Following clause subsumed by 440 during input processing: 0 [copy,1156,flip.1] {-} c_FFT__Mirabelle_Oroot(A)!=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex).
% 0.46/0.65 1285 back subsumes 1284.
% 0.46/0.65
% 0.46/0.65 ------------> process sos:
% 0.46/0.65 Following clause subsumed by 1335 during input processing: 0 [] {-} hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),hAPP(c_Suc,A))).
% 0.46/0.65 Following clause subsumed by 1340 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)).
% 0.46/0.65 Following clause subsumed by 1343 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)))).
% 0.46/0.65 Following clause subsumed by 1352 during input processing: 0 [demod,1349,1349] {-} c_HOL_Ozero__class_Ozero(tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.46/0.65 Following clause subsumed by 1364 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)).
% 0.46/0.65 Following clause subsumed by 1364 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.
% 0.46/0.65 Following clause subsumed by 1365 during input processing: 0 [] {-} hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_nat),hAPP(c_Suc,A))).
% 0.46/0.65 Following clause subsumed by 1372 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).
% 0.46/0.65 Following clause subsumed by 1372 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).
% 0.46/0.65 Following clause subsumed by 1365 during input processing: 0 [unit_del,375] {-} hBOOL(hAPP(c_HOL_Oord__class_Oless(A,tc_nat),hAPP(c_Suc,A))).
% 0.46/0.65 Following clause subsumed by 1384 during input processing: 0 [] {-} hBOOL(hAPP(c_lessequals(A,tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B))).
% 0.46/0.65 Following clause subsumed by 1384 during input processing: 0 [] {-} hBOOL(hAPP(c_lessequals(A,tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B))).
% 0.46/0.65 Following clause subsumed by 1359 during input processing: 0 [demod,1413] {-} 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)).
% 0.46/0.65 Following clause subsumed by 1365 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)))).
% 0.46/0.65 Following clause subsumed by 1359 during input processing: 0 [demod,1363,1349,1357] {-} hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))=hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)).
% 0.46/0.65 Following clause subsumed by 1359 during input processing: 0 [demod,1357] {-} hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))=hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)).
% 0.46/0.65 Following clause subsumed by 1359 during input processing: 0 [demod,1413,1357] {-} hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))=hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)).
% 0.46/0.65 Following clause subsumed by 1427 during input processing: 0 [] {-} hBOOL(hAPP(c_lessequals(A,tc_nat),A)).
% 0.46/0.65 Following clause subsumed by 1437 during input processing: 0 [] {-} hAPP(c_COMBS(A,B,C,D,E),F)=hAPP(hAPP(A,F),hAPP(B,F)).
% 0.46/0.65 Following clause subsumed by 1436 during input processing: 0 [] {-} hAPP(hAPP(c_COMBC(A,B,C,D),E),F)=hAPP(hAPP(A,F),E).
% 0.46/0.65 Following clause subsumed by 1359 during input processing: 0 [demod,1435] {-} hAPP(A,hAPP(B,F))=hAPP(A,hAPP(B,F)).
% 0.46/0.65 Following clause subsumed by 1359 during input processing: 0 [] {-} A=A.
% 0.46/0.65 Following clause subsumed by 1336 during input processing: 0 [copy,1336,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)).
% 0.46/0.65 Following clause subsumed by 1339 during input processing: 0 [copy,1339,flip.1] {-} hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),B)=hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),B),A).
% 0.46/0.65 Following clause subsumed by 1359 during input processing: 0 [copy,1352,flip.1] {-} c_HOL_Ozero__class_Ozero(tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.46/0.65 Following clause subsumed by 1359 during input processing: 0 [copy,1359,flip.1] {-} A=A.
% 0.46/0.65 1359 back subsumes 1352.
% 0.46/0.65 1359 back subsumes 1317.
% 0.46/0.65 1359 back subsumes 1308.
% 0.46/0.65 1359 back subsumes 1307.
% 0.46/0.65 1359 back subsumes 1306.
% 0.46/0.65 1359 back subsumes 1275.
% 0.46/0.65 1359 back subsumes 1257.
% 0.46/0.65 1359 back subsumes 1195.
% 0.46/0.65 1359 back subsumes 1126.
% 0.46/0.65 1359 back subsumes 1125.
% 0.46/0.65 1359 back subsumes 1124.
% 0.46/0.65 1359 back subsumes 1123.
% 0.46/0.65 1359 back subsumes 1122.
% 0.46/0.65 1359 back subsumes 1093.
% 0.46/0.65 1359 back subsumes 1092.
% 0.46/0.65 1359 back subsumes 1091.
% 0.46/0.65 Following clause subsumed by 1414 during input processing: 0 [copy,1414,flip.1] {-} hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),A).
% 0.46/0.65 1427 back subsumes 1426.
% 0.46/0.65 1427 back subsumes 1388.
% 0.46/0.65 1427 back subsumes 1315.
% 0.46/0.65 Following clause subsumed by 1441 during input processing: 0 [copy,1441,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).
% 0.46/0.65 Following clause subsumed by 1580 during input processing: 0 [copy,1580,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)).
% 0.46/0.65 Following clause subsumed by 1361 during input processing: 0 [copy,1582,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)).
% 0.46/0.65 Following clause subsumed by 1371 during input processing: 0 [copy,1583,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)).
% 0.46/0.65 Following clause subsumed by 1398 during input processing: 0 [copy,1585,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)).
% 0.46/0.65 Following clause subsumed by 1400 during input processing: 0 [copy,1587,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)).
% 0.46/0.65 Following clause subsumed by 1416 during input processing: 0 [copy,1590,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).
% 0.46/0.65 Following clause subsumed by 1431 during input processing: 0 [copy,1591,flip.1] {-} hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),A),A)=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.46/0.65 Following clause subsumed by 1436 during input processing: 0 [copy,1592,flip.1] {-} hAPP(hAPP(c_COMBC(A,B,C,D),E),F)=hAPP(hAPP(A,F),E).
% 0.46/0.65 Following clause subsumed by 1437 during input processing: 0 [copy,1593,flip.1] {-} hAPP(c_COMBS(A,B,C,D,E),F)=hAPP(hAPP(A,F),hAPP(B,F)).
% 0.46/0.65
% 0.46/0.65 ======= end of input processing =======
% 1.39/1.61
% 1.39/1.61 Stopped by limit on insertions
% 1.39/1.61
% 1.39/1.61
% 1.39/1.61
% 1.39/1.61 Aborting on detection of an error:
% 1.39/1.61
% 1.39/1.61 Too many clauses (whew!).
% 1.39/1.61
%------------------------------------------------------------------------------