TSTP Solution File: SWV659-1 by SOS---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : SWV659-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n026.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 21:39:49 EDT 2022
% Result : Unknown 2.81s 3.07s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWV659-1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.12 % Command : sos-script %s
% 0.13/0.33 % Computer : n026.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Tue Jun 14 16:22:36 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.43 ----- Otter 3.2, August 2001 -----
% 0.19/0.43 The process was started by sandbox2 on n026.cluster.edu,
% 0.19/0.43 Tue Jun 14 16:22:37 2022
% 0.19/0.43 The command was "./sos". The process ID is 3229.
% 0.19/0.43
% 0.19/0.43 set(prolog_style_variables).
% 0.19/0.43 set(auto).
% 0.19/0.43 dependent: set(auto1).
% 0.19/0.43 dependent: set(process_input).
% 0.19/0.43 dependent: clear(print_kept).
% 0.19/0.43 dependent: clear(print_new_demod).
% 0.19/0.43 dependent: clear(print_back_demod).
% 0.19/0.43 dependent: clear(print_back_sub).
% 0.19/0.43 dependent: set(control_memory).
% 0.19/0.43 dependent: assign(max_mem, 12000).
% 0.19/0.43 dependent: assign(pick_given_ratio, 4).
% 0.19/0.43 dependent: assign(stats_level, 1).
% 0.19/0.43 dependent: assign(pick_semantic_ratio, 3).
% 0.19/0.43 dependent: assign(sos_limit, 5000).
% 0.19/0.43 dependent: assign(max_weight, 60).
% 0.19/0.43 clear(print_given).
% 0.19/0.43
% 0.19/0.43 list(usable).
% 0.19/0.43
% 0.19/0.43 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=7.
% 0.19/0.43
% 0.19/0.43 This ia a non-Horn set with equality. The strategy will be
% 0.19/0.43 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.19/0.43 unit deletion, with positive clauses in sos and nonpositive
% 0.19/0.43 clauses in usable.
% 0.19/0.43
% 0.19/0.43 dependent: set(knuth_bendix).
% 0.19/0.43 dependent: set(para_from).
% 0.19/0.43 dependent: set(para_into).
% 0.19/0.43 dependent: clear(para_from_right).
% 0.19/0.43 dependent: clear(para_into_right).
% 0.19/0.43 dependent: set(para_from_vars).
% 0.19/0.43 dependent: set(eq_units_both_ways).
% 0.19/0.43 dependent: set(dynamic_demod_all).
% 0.19/0.43 dependent: set(dynamic_demod).
% 0.19/0.43 dependent: set(order_eq).
% 0.19/0.43 dependent: set(back_demod).
% 0.19/0.43 dependent: set(lrpo).
% 0.19/0.43 dependent: set(hyper_res).
% 0.19/0.43 dependent: set(unit_deletion).
% 0.19/0.43 dependent: set(factor).
% 0.19/0.43
% 0.19/0.43 ------------> process usable:
% 0.19/0.43 Following clause subsumed by 18 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)).
% 0.19/0.43 Following clause subsumed by 20 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)).
% 0.19/0.43 Following clause subsumed by 25 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),hAPP(c_HOL_Ouminus__class_Ouminus(A),B)),C)=hAPP(c_HOL_Ouminus__class_Ouminus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)).
% 0.19/0.43 Following clause subsumed by 26 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),hAPP(c_HOL_Ouminus__class_Ouminus(A),C))=hAPP(c_HOL_Ouminus__class_Ouminus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)).
% 0.19/0.43 Following clause subsumed by 37 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).
% 0.19/0.43 Following clause subsumed by 43 during input processing: 0 [] {-} -class_OrderedGroup_Ogroup__add(A)|hAPP(c_HOL_Ouminus__class_Ouminus(A),c_HOL_Ozero__class_Ozero(A))=c_HOL_Ozero__class_Ozero(A).
% 0.19/0.43 Following clause subsumed by 45 during input processing: 0 [] {-} -class_OrderedGroup_Opordered__ab__group__add(A)|c_lessequals(B,hAPP(c_HOL_Ouminus__class_Ouminus(A),C),A)| -c_lessequals(C,hAPP(c_HOL_Ouminus__class_Ouminus(A),B),A).
% 0.19/0.43 Following clause subsumed by 46 during input processing: 0 [] {-} -class_OrderedGroup_Opordered__ab__group__add(A)|c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(A),B),C,A)| -c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(A),C),B,A).
% 0.19/0.43 Following clause subsumed by 48 during input processing: 0 [flip.2] {-} -class_OrderedGroup_Ogroup__add(A)|hAPP(c_HOL_Ouminus__class_Ouminus(A),hAPP(c_HOL_Ouminus__class_Ouminus(A),B))=B.
% 0.19/0.43 Following clause subsumed by 48 during input processing: 0 [flip.2] {-} -class_OrderedGroup_Ogroup__add(A)|hAPP(c_HOL_Ouminus__class_Ouminus(A),hAPP(c_HOL_Ouminus__class_Ouminus(A),B))=B.
% 0.19/0.44 Following clause subsumed by 48 during input processing: 0 [] {-} -class_OrderedGroup_Ogroup__add(A)|hAPP(c_HOL_Ouminus__class_Ouminus(A),hAPP(c_HOL_Ouminus__class_Ouminus(A),B))=B.
% 0.19/0.44 Following clause subsumed by 57 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C| -c_lessequals(C,B,A)| -c_lessequals(B,C,A).
% 0.19/0.44 Following clause subsumed by 57 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C| -c_lessequals(B,C,A)| -c_lessequals(C,B,A).
% 0.19/0.44 Following clause subsumed by 64 during input processing: 0 [flip.2] {-} -class_OrderedGroup_Oab__group__add(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),hAPP(c_HOL_Ouminus__class_Ouminus(A),C))=hAPP(hAPP(c_HOL_Ominus__class_Ominus(A),B),C).
% 0.19/0.44 Following clause subsumed by 88 during input processing: 0 [] {-} -class_Int_Onumber__ring(A)|hAPP(c_HOL_Ouminus__class_Ouminus(A),c_HOL_Oone__class_Oone(A))=c_Int_Onumber__class_Onumber__of(c_Int_OMin,A).
% 0.19/0.44 Following clause subsumed by 94 during input processing: 0 [flip.1] {-} c_Int_OPls!=c_Int_OMin.
% 0.19/0.44 Following clause subsumed by 98 during input processing: 0 [] {-} c_Int_OBit0(A)!=c_Int_OMin.
% 0.19/0.44 Following clause subsumed by 106 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)).
% 0.19/0.44 Following clause subsumed by 108 during input processing: 0 [] {-} hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),B)!=c_HOL_Oone__class_Oone(tc_nat)|A=c_HOL_Oone__class_Oone(tc_nat).
% 0.19/0.44 Following clause subsumed by 110 during input processing: 0 [] {-} hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),B)!=c_HOL_Oone__class_Oone(tc_nat)|B=c_HOL_Oone__class_Oone(tc_nat).
% 0.19/0.44 Following clause subsumed by 119 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_lessequals(B,hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),C),c_Int_Onumber__class_Onumber__of(D,A)),A)| -c_lessequals(B,c_HOL_Ozero__class_Ozero(A),A)| -c_lessequals(C,hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),c_Int_Onumber__class_Onumber__of(D,A)),A)| -c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),c_Int_Onumber__class_Onumber__of(D,A)),C,A).
% 0.19/0.44 Following clause subsumed by 120 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_lessequals(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),c_Int_Onumber__class_Onumber__of(C,A)),D,A)| -c_lessequals(c_HOL_Ozero__class_Ozero(A),D,A)| -c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),c_Int_Onumber__class_Onumber__of(C,A)),B,A)| -c_lessequals(B,hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),c_Int_Onumber__class_Onumber__of(C,A)),A).
% 0.19/0.44 Following clause subsumed by 119 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_lessequals(c_Int_Onumber__class_Onumber__of(B,A),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),C),D),A)| -c_lessequals(c_Int_Onumber__class_Onumber__of(B,A),c_HOL_Ozero__class_Ozero(A),A)| -c_lessequals(C,hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(B,A)),D),A)| -c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(B,A)),D),C,A).
% 0.19/0.44 Following clause subsumed by 120 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_lessequals(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),C),c_Int_Onumber__class_Onumber__of(D,A),A)| -c_lessequals(c_HOL_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(D,A),A)| -c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(D,A)),C),B,A)| -c_lessequals(B,hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(D,A)),C),A).
% 0.19/0.44 Following clause subsumed by 175 during input processing: 0 [] {-} -class_Ring__and__Field_Opordered__ring(A)|c_lessequals(c_HOL_Ozero__class_Ozero(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C),A)| -c_lessequals(C,c_HOL_Ozero__class_Ozero(A),A)| -c_lessequals(B,c_HOL_Ozero__class_Ozero(A),A).
% 0.19/0.44 Following clause subsumed by 188 during input processing: 0 [] {-} -class_Ring__and__Field_Opordered__cancel__semiring(A)|c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C),c_HOL_Ozero__class_Ozero(A),A)| -c_lessequals(C,c_HOL_Ozero__class_Ozero(A),A)| -c_lessequals(c_HOL_Ozero__class_Ozero(A),B,A).
% 0.19/0.44 Following clause subsumed by 189 during input processing: 0 [] {-} -class_Ring__and__Field_Opordered__cancel__semiring(A)|c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C),c_HOL_Ozero__class_Ozero(A),A)| -c_lessequals(c_HOL_Ozero__class_Ozero(A),C,A)| -c_lessequals(B,c_HOL_Ozero__class_Ozero(A),A).
% 0.19/0.44 Following clause subsumed by 189 during input processing: 0 [] {-} -class_Ring__and__Field_Opordered__cancel__semiring(A)|c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C),c_HOL_Ozero__class_Ozero(A),A)| -c_lessequals(B,c_HOL_Ozero__class_Ozero(A),A)| -c_lessequals(c_HOL_Ozero__class_Ozero(A),C,A).
% 0.19/0.44 Following clause subsumed by 190 during input processing: 0 [] {-} -class_OrderedGroup_Ogroup__add(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(c_HOL_Ouminus__class_Ouminus(A),B)),B)=c_HOL_Ozero__class_Ozero(A).
% 0.19/0.44 Following clause subsumed by 211 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).
% 0.19/0.44 Following clause subsumed by 256 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.
% 0.19/0.44 Following clause subsumed by 278 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)).
% 0.19/0.44 Following clause subsumed by 280 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)).
% 0.19/0.44 Following clause subsumed by 283 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)).
% 0.19/0.44 Following clause subsumed by 283 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)),D)=hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),C),D)).
% 0.19/0.44 Following clause subsumed by 299 during input processing: 0 [flip.1] {-} hAPP(c_Suc,A)!=A.
% 0.19/0.44 Following clause subsumed by 311 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).
% 0.19/0.44 Following clause subsumed by 318 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.
% 0.19/0.44 Following clause subsumed by 318 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).
% 0.19/0.44 Following clause subsumed by 318 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).
% 0.19/0.44 Following clause subsumed by 284 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)).
% 0.19/0.44 Following clause subsumed by 283 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))).
% 0.19/0.44 Following clause subsumed by 328 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).
% 0.19/0.44 Following clause subsumed by 269 during input processing: 0 [] {-} -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).
% 0.19/0.44 Following clause subsumed by 323 during input processing: 0 [] {-} -class_Ring__and__Field_Ozero__neq__one(A)|c_HOL_Ozero__class_Ozero(A)!=c_HOL_Oone__class_Oone(A).
% 0.19/0.44 Following clause subsumed by 340 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)| -class_Int_Onumber__ring(A)|hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),A))=B.
% 0.19/0.44 Following clause subsumed by 309 during input processing: 0 [] {-} -class_Ring__and__Field_Osemiring__0(A)| -class_Power_Opower(A)|hAPP(c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(A),A),c_HOL_Ozero__class_Ozero(tc_nat))=c_HOL_Oone__class_Oone(A).
% 0.19/0.44 Following clause subsumed by 291 during input processing: 0 [] {-} -class_OrderedGroup_Omonoid__mult(A)| -class_Int_Onumber(A)|hAPP(c_Power_Opower__class_Opower(c_Int_Onumber__class_Onumber__of(B,A),A),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(B,A)),c_Int_Onumber__class_Onumber__of(B,A)).
% 0.19/0.44 Following clause subsumed by 345 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).
% 0.19/0.44 Following clause subsumed by 343 during input processing: 0 [flip.1] {-} c_Int_OBit1(A)!=c_Int_OPls.
% 0.19/0.44 Following clause subsumed by 349 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)|B=C|A=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.19/0.44 Following clause subsumed by 318 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).
% 0.19/0.44 Following clause subsumed by 351 during input processing: 0 [] {-} hAPP(c_Suc,A)!=hAPP(c_Suc,B)|A=B.
% 0.19/0.45 Following clause subsumed by 353 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_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).
% 0.19/0.45 Following clause subsumed by 306 during input processing: 0 [] {-} -class_Ring__and__Field_Osemiring__0(A)| -class_Power_Opower(A)|hAPP(c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(A),A),c_Int_Onumber__class_Onumber__of(B,tc_nat))=c_HOL_Ozero__class_Ozero(A)|c_Int_Onumber__class_Onumber__of(B,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.19/0.45 Following clause subsumed by 307 during input processing: 0 [] {-} -class_Ring__and__Field_Ozero__neq__one(A)| -class_Ring__and__Field_Ono__zero__divisors(A)| -class_Ring__and__Field_Omult__zero(A)| -class_Power_Opower(A)|hAPP(c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(A),A),c_Int_Onumber__class_Onumber__of(B,tc_nat))=c_HOL_Ozero__class_Ozero(A)|c_Int_Onumber__class_Onumber__of(B,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.19/0.45 Following clause subsumed by 358 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.
% 0.19/0.45 Following clause subsumed by 359 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.
% 0.19/0.45 Following clause subsumed by 318 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),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).
% 0.19/0.45 Following clause subsumed by 364 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).
% 0.19/0.45 Following clause subsumed by 367 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).
% 0.19/0.45 Following clause subsumed by 368 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).
% 0.19/0.45 Following clause subsumed by 365 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).
% 0.19/0.45 Following clause subsumed by 379 during input processing: 0 [] {-} hAPP(c_Suc,A)!=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.19/0.45 Following clause subsumed by 355 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),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).
% 0.19/0.45 Following clause subsumed by 378 during input processing: 0 [] {-} -class_Int_Onumber__ring(A)|c_HOL_Ozero__class_Ozero(A)=c_Int_Onumber__class_Onumber__of(c_Int_OPls,A).
% 0.19/0.45 Following clause subsumed by 355 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).
% 0.19/0.45 Following clause subsumed by 407 during input processing: 0 [] {-} hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)!=A|B=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.19/0.46 Following clause subsumed by 414 during input processing: 0 [] {-} c_HOL_Ozero__class_Ozero(tc_nat)!=hAPP(c_Suc,A).
% 0.19/0.46 Following clause subsumed by 420 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.
% 0.19/0.46 Following clause subsumed by 424 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)).
% 0.19/0.46 Following clause subsumed by 381 during input processing: 0 [flip.2] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),hAPP(c_Power_Opower__class_Opower(B,A),C))=hAPP(c_Power_Opower__class_Opower(B,A),hAPP(c_Suc,C)).
% 0.19/0.46 Following clause subsumed by 381 during input processing: 0 [flip.2] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),hAPP(c_Power_Opower__class_Opower(B,A),C))=hAPP(c_Power_Opower__class_Opower(B,A),hAPP(c_Suc,C)).
% 0.19/0.46 Following clause subsumed by 431 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).
% 0.19/0.46 Following clause subsumed by 436 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)).
% 0.19/0.46 Following clause subsumed by 436 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C)),D)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),C),D)).
% 0.19/0.46 Following clause subsumed by 444 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).
% 0.19/0.46 Following clause subsumed by 444 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).
% 0.19/0.46 Following clause subsumed by 389 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).
% 0.19/0.46 Following clause subsumed by 389 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).
% 0.19/0.46 Following clause subsumed by 471 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.
% 0.19/0.46 Following clause subsumed by 313 during input processing: 0 [] {-} -class_Ring__and__Field_Ozero__neq__one(A)| -class_Ring__and__Field_Ono__zero__divisors(A)| -class_Ring__and__Field_Omult__zero(A)| -class_Power_Opower(A)|hAPP(c_Power_Opower__class_Opower(B,A),c_Int_Onumber__class_Onumber__of(C,tc_nat))!=c_HOL_Ozero__class_Ozero(A)|B=c_HOL_Ozero__class_Ozero(A).
% 0.19/0.46 219 back subsumes 130.
% 0.19/0.46 Following clause subsumed by 464 during input processing: 0 [copy,267,flip.1] {-} c_Int_OBit0(A)!=c_Int_OBit1(B).
% 0.19/0.46 318 back subsumes 311.
% 0.19/0.46 355 back subsumes 326.
% 0.19/0.46 364 back subsumes 353.
% 0.19/0.46 Following clause subsumed by 414 during input processing: 0 [copy,379,flip.1] {-} c_HOL_Ozero__class_Ozero(tc_nat)!=hAPP(c_Suc,A).
% 0.19/0.46 389 back subsumes 258.
% 0.19/0.46 Following clause subsumed by 379 during input processing: 0 [copy,414,flip.1] {-} hAPP(c_Suc,A)!=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.19/0.46 Following clause subsumed by 267 during input processing: 0 [copy,464,flip.1] {-} c_Int_OBit1(A)!=c_Int_OBit0(B).
% 0.19/0.47 515 back subsumes 514.
% 0.19/0.47
% 0.19/0.47 ------------> process sos:
% 0.19/0.47 Following clause subsumed by 598 during input processing: 0 [demod,602] {-} c_HOL_Oone__class_Oone(tc_nat)=c_HOL_Oone__class_Oone(tc_nat).
% 0.19/0.47 Following clause subsumed by 702 during input processing: 0 [demod,620,620,668,677,692,620] {-} hAPP(c_Suc,c_Int_Onumber__class_Onumber__of(c_Int_OMin,tc_nat))=hAPP(c_Suc,c_Int_Onumber__class_Onumber__of(c_Int_OMin,tc_nat)).
% 0.19/0.47 Following clause subsumed by 708 during input processing: 0 [demod,643,643] {-} 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)).
% 0.19/0.47 Following clause subsumed by 704 during input processing: 0 [demod,620,606,698,698,677,668,677,711] {-} hAPP(c_Suc,hAPP(c_Suc,c_Int_Onumber__class_Onumber__of(c_Int_OMin,tc_nat)))=hAPP(c_Suc,hAPP(c_Suc,c_Int_Onumber__class_Onumber__of(c_Int_OMin,tc_nat))).
% 0.19/0.47 Following clause subsumed by 718 during input processing: 0 [] {-} hAPP(c_COMBS(A,B,C,D,E),F)=hAPP(hAPP(A,F),hAPP(B,F)).
% 0.19/0.47 Following clause subsumed by 557 during input processing: 0 [] {-} hAPP(c_COMBC(A,B,C,D,E),F)=hAPP(hAPP(A,F),B).
% 0.19/0.47 Following clause subsumed by 731 during input processing: 0 [demod,717] {-} hAPP(A,hAPP(B,F))=hAPP(A,hAPP(B,F)).
% 0.19/0.47 Following clause subsumed by 731 during input processing: 0 [] {-} A=A.
% 0.19/0.47 Following clause subsumed by 558 during input processing: 0 [copy,558,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).
% 0.19/0.47 Following clause subsumed by 731 during input processing: 0 [copy,572,flip.1] {-} c_Int_OMin=c_Int_OMin.
% 0.19/0.47 Following clause subsumed by 731 during input processing: 0 [copy,598,flip.1,demod,698,698] {-} hAPP(c_Suc,c_Int_Onumber__class_Onumber__of(c_Int_OMin,tc_nat))=hAPP(c_Suc,c_Int_Onumber__class_Onumber__of(c_Int_OMin,tc_nat)).
% 0.19/0.47 Following clause subsumed by 731 during input processing: 0 [copy,656,flip.1,demod,689,689] {-} c_Int_Onumber__class_Onumber__of(c_Int_OMin,tc_nat)=c_Int_Onumber__class_Onumber__of(c_Int_OMin,tc_nat).
% 0.19/0.47 Following clause subsumed by 731 during input processing: 0 [copy,658,flip.1,demod,686,686] {-} c_Int_Onumber__class_Onumber__of(c_Int_OMin,tc_nat)=c_Int_Onumber__class_Onumber__of(c_Int_OMin,tc_nat).
% 0.19/0.47 Following clause subsumed by 731 during input processing: 0 [copy,679,flip.1] {-} 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)).
% 0.19/0.47 Following clause subsumed by 680 during input processing: 0 [copy,680,flip.1] {-} hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),A).
% 0.19/0.47 Following clause subsumed by 731 during input processing: 0 [copy,700,flip.1] {-} c_Int_OPls=c_Int_OPls.
% 0.19/0.47 Following clause subsumed by 731 during input processing: 0 [copy,702,flip.1] {-} hAPP(c_Suc,c_Int_Onumber__class_Onumber__of(c_Int_OMin,tc_nat))=hAPP(c_Suc,c_Int_Onumber__class_Onumber__of(c_Int_OMin,tc_nat)).
% 0.19/0.47 Following clause subsumed by 731 during input processing: 0 [copy,704,flip.1] {-} hAPP(c_Suc,hAPP(c_Suc,c_Int_Onumber__class_Onumber__of(c_Int_OMin,tc_nat)))=hAPP(c_Suc,hAPP(c_Suc,c_Int_Onumber__class_Onumber__of(c_Int_OMin,tc_nat))).
% 0.19/0.47 Following clause subsumed by 731 during input processing: 0 [copy,706,flip.1] {-} c_Int_Onumber__class_Onumber__of(c_Int_OMin,tc_nat)=c_Int_Onumber__class_Onumber__of(c_Int_OMin,tc_nat).
% 0.19/0.47 Following clause subsumed by 708 during input processing: 0 [copy,708,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)).
% 0.19/0.47 Following clause subsumed by 712 during input processing: 0 [copy,712,flip.1] {-} hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),B)=hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),B),A).
% 0.19/0.47 Following clause subsumed by 715 during input processing: 0 [copy,715,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)).
% 0.19/0.47 Following clause subsumed by 731 during input processing: 0 [copy,731,flip.1] {-} A=A.
% 0.19/0.47 731 back subsumes 706.
% 0.19/0.47 731 back subsumes 704.
% 0.19/0.47 731 back subsumes 702.
% 0.19/0.47 731 back subsumes 700.
% 0.19/0.47 731 back subsumes 679.
% 0.19/0.47 731 back subsumes 572.
% 0.19/0.47 731 back subsumes 537.
% 0.19/0.47 731 back subsumes 492.
% 0.19/0.47 731 back subsumes 484.
% 0.19/0.47 Following clause subsumed by 557 during input processing: 0 [copy,848,flip.1] {-} hAPP(c_COMBC(A,B,C,D,E),F)=hAPP(hAPP(A,F),B).
% 0.19/0.47 Following clause subsumed by 581 during input processing: 0 [copy,851,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)).
% 0.19/0.47 Following clause subsumed by 593 during input processing: 0 [copy,852,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)).
% 0.19/0.47 Following clause subsumed by 631 during input processing: 0 [copy,922,flip.1] {-} c_FFT__Mirabelle_ODFT(A,B,v_i)=c_Finite__Set_Osetsum(c_COMBS(c_COMBB(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),c_COMBB(c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(A),tc_Complex_Ocomplex),hAPP(c_HOL_Otimes__class_Otimes(tc_nat),v_i),tc_nat,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex,tc_fun(tc_Complex_Ocomplex,tc_Complex_Ocomplex),tc_nat),B,tc_nat,tc_Complex_Ocomplex,tc_Complex_Ocomplex),c_SetInterval_Oord__class_OatLeastLessThan(c_Int_Onumber__class_Onumber__of(c_Int_OMin,tc_nat),A,tc_nat),tc_nat,tc_Complex_Ocomplex).
% 0.19/0.47 Following clause subsumed by 633 during input processing: 0 [copy,923,flip.1] {-} c_FFT__Mirabelle_OIDFT(A,B,v_i)=c_Finite__Set_Osetsum(c_COMBS(c_COMBB(c_HOL_Oinverse__class_Odivide(tc_Complex_Ocomplex),B,tc_Complex_Ocomplex,tc_fun(tc_Complex_Ocomplex,tc_Complex_Ocomplex),tc_nat),c_COMBB(c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(A),tc_Complex_Ocomplex),hAPP(c_HOL_Otimes__class_Otimes(tc_nat),v_i),tc_nat,tc_Complex_Ocomplex,tc_nat),tc_nat,tc_Complex_Ocomplex,tc_Complex_Ocomplex),c_SetInterval_Oord__class_OatLeastLessThan(c_Int_Onumber__class_Onumber__of(c_Int_OMin,tc_nat),A,tc_nat),tc_nat,tc_Complex_Ocomplex).
% 0.19/0.47 Following clause subsumed by 640 during input processing: 0 [copy,926,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)).
% 0.19/0.47 Following clause subsumed by 660 during input processing: 0 [copy,928,flip.1] {-} hAPP(c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(A),tc_Complex_Ocomplex),A)=c_FFT__Mirabelle_Oroot(c_Int_Onumber__class_Onumber__of(c_Int_OMin,tc_nat)).
% 0.19/0.47 Following clause subsumed by 666 during input processing: 0 [copy,929,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)).
% 0.19/0.47 Following clause subsumed by 718 during input processing: 0 [copy,942,flip.1] {-} hAPP(c_COMBS(A,B,C,D,E),F)=hAPP(hAPP(A,F),hAPP(B,F)).
% 0.19/0.47 Following clause subsumed by 726 during input processing: 0 [copy,943,flip.1] {-} hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(c_Suc,hAPP(c_Suc,c_Int_Onumber__class_Onumber__of(c_Int_OMin,tc_nat)))),A)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),A).
% 0.19/0.47
% 0.19/0.47 ======= end of input processing =======
% 0.46/0.69
% 0.46/0.69
% 0.46/0.69 Failed to model usable list: disabling FINDER
% 0.46/0.69
% 0.46/0.69
% 0.46/0.69
% 0.46/0.69 -------------- Softie stats --------------
% 0.46/0.69
% 0.46/0.69 UPDATE_STOP: 300
% 0.46/0.69 SFINDER_TIME_LIMIT: 2
% 0.46/0.69 SHORT_CLAUSE_CUTOFF: 4
% 0.46/0.69 number of clauses in intial UL: 405
% 0.46/0.69 number of clauses initially in problem: 682
% 0.46/0.69 percentage of clauses intially in UL: 59
% 0.46/0.69 percentage of distinct symbols occuring in initial UL: 88
% 0.46/0.69 percent of all initial clauses that are short: 99
% 0.46/0.69 absolute distinct symbol count: 86
% 0.46/0.69 distinct predicate count: 58
% 0.46/0.69 distinct function count: 21
% 0.46/0.69 distinct constant count: 7
% 0.46/0.69
% 0.46/0.69 ---------- no more Softie stats ----------
% 0.46/0.69
% 0.46/0.69
% 0.46/0.69
% 0.46/0.69 =========== start of search ===========
% 1.49/1.73
% 1.49/1.73
% 1.49/1.73 Changing weight limit from 60 to 56.
% 1.49/1.73
% 1.49/1.73 Resetting weight limit to 56 after 30 givens.
% 1.49/1.73
% 2.81/3.06 hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),B)),C)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),D),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),A),E)),B)),C)))=hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),E),B)),D).
% 2.81/3.06
% 2.81/3.06 ------------- memory usage ------------
% 2.81/3.06 452 mallocs of 32700 bytes each, 14434.0 K.
% 2.81/3.06 type (bytes each) gets frees in use avail bytes
% 2.81/3.06 sym_ent ( 304) 236 0 236 0 70.1 K
% 2.81/3.06 term ( 32) 475178 431896 43282 5631 1528.5 K
% 2.81/3.06 rel ( 40) 424689 360180 64509 9401 2887.1 K
% 2.81/3.06 term_ptr ( 16) 491009 158879 332130 65432 6211.9 K
% 2.81/3.06 formula_ptr_2 ( 56) 0 0 0 0 0.0 K
% 2.81/3.06 fpa_head ( 24) 10330 2695 7635 390 188.1 K
% 2.81/3.06 fpa_tree ( 56) 35705 35705 0 161 8.8 K
% 2.81/3.06 context (1288) 50523 50523 0 6 7.5 K
% 2.81/3.06 trail ( 24) 1302302 1302302 0 9 0.2 K
% 2.81/3.06 imd_tree ( 32) 710 197 513 39 17.2 K
% 2.81/3.06 imd_pos (4024) 34752 34752 0 6 23.6 K
% 2.81/3.06 is_tree ( 24) 34481 10349 24132 5295 689.7 K
% 2.81/3.06 is_pos (2424) 1054782 1054782 0 22 52.1 K
% 2.81/3.06 fsub_pos ( 16) 39616 39616 0 1 0.0 K
% 2.81/3.06 literal ( 32) 34828 13482 21346 2700 751.4 K
% 2.81/3.06 clause ( 88) 10481 3709 6772 638 636.8 K
% 2.81/3.06 list ( 272) 10 3 7 1 2.1 K
% 2.81/3.06 clash_nd ( 80) 158 158 0 4 0.3 K
% 2.81/3.06 clause_ptr ( 16) 7541 1280 6261 637 107.8 K
% 2.81/3.06 int_ptr ( 16) 87462 29207 58255 7188 1022.5 K
% 2.81/3.06 ci_ptr ( 24) 0 0 0 0 0.0 K
% 2.81/3.06 link_node ( 120) 0 0 0 0 0.0 K
% 2.81/3.06 ans_lit_node( 24) 0 0 0 0 0.0 K
% 2.81/3.06 formula_box( 168) 0 0 0 0 0.0 K
% 2.81/3.06 formula( 40) 0 0 0 0 0.0 K
% 2.81/3.06 formula_ptr( 16) 0 0 0 0 0.0 K
% 2.81/3.06 cl_attribute( 24) 0 0 0 0 0.0 K
% 2.81/3.06
% 2.81/3.06 ********** is_delete, can't find end.
% 2.81/3.06 on 0.00
% 2.81/3.06 factor simplify 0.00
% 2.81/3.06 weigh cl time 0.00
% 2.81/3.06 hints keep time 0.00
% 2.81/3.06 sort lits time 0.00
% 2.81/3.06 forward subsume 0.00
% 2.81/3.06 delete cl time 0.00
% 2.81/3.06 keep cl time 0.00
% 2.81/3.06 hints time 0.00
% 2.81/3.06 print_cl time 0.00
% 2.81/3.06 conflict time 0.00
% 2.81/3.06 new demod time 0.00
% 2.81/3.06 post_process time 0.00
% 2.81/3.06 back demod time 0.00
% 2.81/3.06 back subsume 0.00
% 2.81/3.06 factor time 0.00
% 2.81/3.06 FINDER time 0.00
% 2.81/3.06 unindex time 0.00
% 2.81/3.06
% 2.81/3.06 Forward subsumption counts, subsumer:number_subsumed.
% 2.81/3.06 1:0 2:0 3:0 4:0 5:0 6:0 7:0 8:0 9:0 10:0
% 2.81/3.06 11:0 12:0 13:0 14:0 15:0 16:0 17:0 18:1 19:0 20:1
% 2.81/3.06 21:0 22:0 23:0 24:0 25:1 26:1 27:0 28:0 29:0 30:0
% 2.81/3.06 31:0 32:0 33:0 34:0 35:1 36:0 37:1 38:0 39:0 40:0
% 2.81/3.06 41:0 42:0 43:1 44:0 45:1 46:1 47:3 48:3 49:0 50:0
% 2.81/3.06 51:0 52:0 53:0 54:0 55:0 56:0 57:7 58:0 59:0 60:0
% 2.81/3.06 61:0 62:0 63:0 64:1 65:0 66:0 67:0 68:1 69:0 70:0
% 2.81/3.06 71:0 72:0 73:0 74:0 75:0 76:0 77:0 78:0 79:0 80:0
% 2.81/3.06 81:0 82:0 83:0 84:0 85:0 86:0 87:0 88:1 89:0 90:0
% 2.81/3.06 91:5 92:0 93:1 94:2 95:0 96:0 97:0 98:2 99:0
% 2.81/3.06 All others: 917.
% 2.81/3.06
% 2.81/3.06 ********** ABNORMAL END **********
% 2.81/3.06
% 2.81/3.06 ********** is_delete, can't find end.
%------------------------------------------------------------------------------