TSTP Solution File: ALG341-1 by Geo-III---2018C
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%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : ALG341-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n010.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 : 300s
% DateTime : Sat Jul 23 05:57:35 EDT 2022
% Result : Unsatisfiable 3.14s 3.30s
% Output : Refutation 3.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : ALG341-1 : TPTP v8.1.0. Released v4.1.0.
% 0.08/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.15/0.35 % Computer : n010.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri Jul 22 10:42:26 EDT 2022
% 0.15/0.35 % CPUTime :
% 3.14/3.30 GeoParameters:
% 3.14/3.30
% 3.14/3.30 tptp_input = 1
% 3.14/3.30 tptp_output = 0
% 3.14/3.30 nonempty = 1
% 3.14/3.30 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.14/3.30 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 3.14/3.30
% 3.14/3.30
% 3.14/3.30 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.14/3.30 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.14/3.30
% 3.14/3.30 RuleSystem INPUT:
% 3.14/3.30
% 3.14/3.30 Initial Rules:
% 3.14/3.30 #0: input, references = 3, size of lhs = 6:
% 3.14/3.30 class_Ring__and__Field_Oordered__idom-{F}(V0), P_c_Power_Opower__class_Opower-{F}(V2,V1,V0,V3), P_c_HOL_Oabs__class_Oabs-{F}(V3,V0,V4), P_c_HOL_Oabs__class_Oabs-{F}(V2,V0,V5), P_c_Power_Opower__class_Opower-{F}(V5,V1,V0,V6), V4 == V6 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #1: input, references = 3, size of lhs = 7:
% 3.14/3.30 class_Ring__and__Field_Oordered__field-{F}(V0), class_Ring__and__Field_Odivision__by__zero-{F}(V0), P_c_HOL_Oinverse__class_Oinverse-{F}(V1,V0,V2), P_c_HOL_Oabs__class_Oabs-{F}(V2,V0,V3), P_c_HOL_Oabs__class_Oabs-{F}(V1,V0,V4), P_c_HOL_Oinverse__class_Oinverse-{F}(V4,V0,V5), V3 == V5 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #2: input, references = 3, size of lhs = 8:
% 3.14/3.30 class_Ring__and__Field_Oordered__field-{F}(V0), class_Ring__and__Field_Odivision__by__zero-{F}(V0), P_c_HOL_Oinverse__class_Odivide-{F}(V2,V1,V0,V3), P_c_HOL_Oabs__class_Oabs-{F}(V3,V0,V4), P_c_HOL_Oabs__class_Oabs-{F}(V2,V0,V5), P_c_HOL_Oabs__class_Oabs-{F}(V1,V0,V6), P_c_HOL_Oinverse__class_Odivide-{F}(V5,V6,V0,V7), V4 == V7 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #3: input, references = 3, size of lhs = 7:
% 3.14/3.30 class_RealVector_Oreal__vector-{F}(V0), P_c_HOL_Oplus__class_Oplus-{F}(V2,V1,V0,V4), P_c_RealVector_OscaleR__class_OscaleR-{F}(V3,V4,V0,V5), P_c_RealVector_OscaleR__class_OscaleR-{F}(V3,V2,V0,V6), P_c_RealVector_OscaleR__class_OscaleR-{F}(V3,V1,V0,V7), P_c_HOL_Oplus__class_Oplus-{F}(V6,V7,V0,V8), V5 == V8 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #4: input, references = 3, size of lhs = 7:
% 3.14/3.30 class_RealVector_Oreal__normed__vector-{F}(V0), P_c_HOL_Oplus__class_Oplus-{F}(V2,V1,V0,V4), P_c_RealVector_OscaleR__class_OscaleR-{F}(V3,V4,V0,V5), P_c_RealVector_OscaleR__class_OscaleR-{F}(V3,V2,V0,V6), P_c_RealVector_OscaleR__class_OscaleR-{F}(V3,V1,V0,V7), P_c_HOL_Oplus__class_Oplus-{F}(V6,V7,V0,V8), V5 == V8 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #5: input, references = 3, size of lhs = 5:
% 3.14/3.30 class_OrderedGroup_Oab__group__add-{F}(V0), P_c_HOL_Ouminus__class_Ouminus-{F}(V1,V0,V3), P_c_HOL_Oplus__class_Oplus-{F}(V4,V1,V0,V5), P_c_HOL_Oplus__class_Oplus-{F}(V2,V5,V0,V4), V2 == V3 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #6: input, references = 3, size of lhs = 9:
% 3.14/3.30 P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), class_Ring__and__Field_Ofield-{F}(V0), class_Ring__and__Field_Odivision__by__zero-{F}(V0), P_c_HOL_Otimes__class_Otimes-{F}(V4,V2,V0,V5), P_c_HOL_Otimes__class_Otimes-{F}(V3,V2,V0,V6), P_c_HOL_Oinverse__class_Odivide-{F}(V5,V6,V0,V7), P_c_HOL_Oinverse__class_Odivide-{F}(V4,V3,V0,V8), V2 == V1, V7 == V8 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #7: input, references = 3, size of lhs = 9:
% 3.14/3.30 P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), class_Ring__and__Field_Ofield-{F}(V0), class_Ring__and__Field_Odivision__by__zero-{F}(V0), P_c_HOL_Otimes__class_Otimes-{F}(V2,V4,V0,V5), P_c_HOL_Otimes__class_Otimes-{F}(V2,V3,V0,V6), P_c_HOL_Oinverse__class_Odivide-{F}(V5,V6,V0,V7), P_c_HOL_Oinverse__class_Odivide-{F}(V4,V3,V0,V8), V2 == V1, V7 == V8 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #8: input, references = 3, size of lhs = 8:
% 3.14/3.30 class_SEQ_Obanach-{F}(V0), class_RealVector_Oreal__normed__field-{F}(V0), P_c_HOL_Oplus__class_Oplus-{F}(V2,V1,V0,V3), P_c_Transcendental_Oexp-{F}(V3,V0,V4), P_c_Transcendental_Oexp-{F}(V2,V0,V5), P_c_Transcendental_Oexp-{F}(V1,V0,V6), P_c_HOL_Otimes__class_Otimes-{F}(V5,V6,V0,V7), V4 == V7 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #9: input, references = 3, size of lhs = 7:
% 3.14/3.30 class_Ring__and__Field_Ofield-{F}(V0), class_Ring__and__Field_Odivision__by__zero-{F}(V0), P_c_HOL_Oinverse__class_Odivide-{F}(V3,V2,V0,V4), P_c_HOL_Otimes__class_Otimes-{F}(V4,V1,V0,V5), P_c_HOL_Otimes__class_Otimes-{F}(V3,V1,V0,V6), P_c_HOL_Oinverse__class_Odivide-{F}(V6,V2,V0,V7), V5 == V7 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #10: input, references = 3, size of lhs = 6:
% 3.14/3.30 class_RealVector_Oreal__normed__vector-{F}(V0), P_c_HOL_Ominus__class_Ominus-{F}(V2,V1,V0,V3), P_c_RealVector_Onorm__class_Onorm-{F}(V3,V0,V4), P_c_HOL_Ominus__class_Ominus-{F}(V1,V2,V0,V5), P_c_RealVector_Onorm__class_Onorm-{F}(V5,V0,V6), V4 == V6 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #11: input, references = 3, size of lhs = 5:
% 3.14/3.30 class_OrderedGroup_Ogroup__add-{F}(V0), P_c_HOL_Ouminus__class_Ouminus-{F}(V1,V0,V3), P_c_HOL_Ominus__class_Ominus-{F}(V2,V3,V0,V4), P_c_HOL_Oplus__class_Oplus-{F}(V2,V1,V0,V5), V4 == V5 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #12: input, references = 3, size of lhs = 4:
% 3.14/3.30 class_OrderedGroup_Ogroup__add-{F}(V0), P_c_HOL_Oplus__class_Oplus-{F}(V2,V1,V0,V3), P_c_HOL_Ominus__class_Ominus-{F}(V3,V1,V0,V4), V4 == V2 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #13: input, references = 3, size of lhs = 7:
% 3.14/3.30 class_Ring__and__Field_Ofield-{F}(V0), P_c_HOL_Oplus__class_Oplus-{F}(V3,V2,V0,V4), P_c_HOL_Oinverse__class_Odivide-{F}(V4,V1,V0,V5), P_c_HOL_Oinverse__class_Odivide-{F}(V3,V1,V0,V6), P_c_HOL_Oinverse__class_Odivide-{F}(V2,V1,V0,V7), P_c_HOL_Oplus__class_Oplus-{F}(V6,V7,V0,V8), V5 == V8 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #14: input, references = 3, size of lhs = 7:
% 3.14/3.30 class_RealVector_Oreal__normed__field-{F}(V0), P_c_HOL_Oplus__class_Oplus-{F}(V3,V2,V0,V4), P_c_HOL_Oinverse__class_Odivide-{F}(V4,V1,V0,V5), P_c_HOL_Oinverse__class_Odivide-{F}(V3,V1,V0,V6), P_c_HOL_Oinverse__class_Odivide-{F}(V2,V1,V0,V7), P_c_HOL_Oplus__class_Oplus-{F}(V6,V7,V0,V8), V5 == V8 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #15: input, references = 3, size of lhs = 4:
% 3.14/3.30 class_OrderedGroup_Ogroup__add-{F}(V0), P_c_HOL_Ouminus__class_Ouminus-{F}(V1,V0,V2), P_c_HOL_Ouminus__class_Ouminus-{F}(V2,V0,V3), V3 == V1 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #16: input, references = 3, size of lhs = 4:
% 3.14/3.30 class_OrderedGroup_Ogroup__add-{F}(V0), P_c_HOL_Ouminus__class_Ouminus-{F}(V1,V0,V2), P_c_HOL_Ouminus__class_Ouminus-{F}(V2,V0,V3), V1 == V3 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #17: input, references = 3, size of lhs = 4:
% 3.14/3.30 class_OrderedGroup_Ogroup__add-{F}(V0), P_c_HOL_Ouminus__class_Ouminus-{F}(V1,V0,V2), P_c_HOL_Ouminus__class_Ouminus-{F}(V2,V0,V3), V1 == V3 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #18: input, references = 3, size of lhs = 4:
% 3.14/3.30 class_Lattices_Oboolean__algebra-{F}(V0), P_c_HOL_Ouminus__class_Ouminus-{F}(V1,V0,V2), P_c_HOL_Ouminus__class_Ouminus-{F}(V2,V0,V3), V3 == V1 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #19: input, references = 3, size of lhs = 4:
% 3.14/3.30 class_OrderedGroup_Ogroup__add-{F}(V0), P_c_HOL_Ouminus__class_Ouminus-{F}(V1,V0,V2), P_c_HOL_Ouminus__class_Ouminus-{F}(V2,V0,V3), V3 == V1 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #20: input, references = 3, size of lhs = 5:
% 3.14/3.30 class_OrderedGroup_Oab__group__add-{F}(V0), P_c_HOL_Ominus__class_Ominus-{F}(V2,V1,V0,V3), P_c_HOL_Ouminus__class_Ouminus-{F}(V3,V0,V4), P_c_HOL_Ominus__class_Ominus-{F}(V1,V2,V0,V5), V4 == V5 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #21: input, references = 3, size of lhs = 5:
% 3.14/3.30 P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), class_Ring__and__Field_Ofield-{F}(V0), class_Ring__and__Field_Odivision__by__zero-{F}(V0), P_c_HOL_Oinverse__class_Odivide-{F}(V2,V1,V0,V3), V1 == V3 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #22: input, references = 3, size of lhs = 6:
% 3.14/3.30 P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), class_RealVector_Oreal__vector-{F}(V0), P_c_RealVector_OscaleR__class_OscaleR-{F}(V4,V2,V0,V6), P_c_RealVector_OscaleR__class_OscaleR-{F}(V3,V2,V0,V6), V2 == V1, V4 == V3 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #23: input, references = 3, size of lhs = 5:
% 3.14/3.30 P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), class_RealVector_Oreal__vector-{F}(V0), P_c_RealVector_OscaleR__class_OscaleR-{F}(V3,V1,V0,V4), P_c_RealVector_OscaleR__class_OscaleR-{F}(V2,V1,V0,V5), V4 == V5 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #24: input, references = 3, size of lhs = 4:
% 3.14/3.30 P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), class_OrderedGroup_Opordered__ab__group__add__abs-{F}(V0), P_c_HOL_Oabs__class_Oabs-{F}(V2,V0,V1), V2 == V1 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #25: input, references = 3, size of lhs = 4:
% 3.14/3.30 P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_c_HOL_Ouminus__class_Ouminus-{F}(V1,V0,V2), class_OrderedGroup_Oordered__ab__group__add-{F}(V0), V2 == V1 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #26: input, references = 3, size of lhs = 4:
% 3.14/3.30 P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_c_HOL_Ouminus__class_Ouminus-{F}(V1,V0,V2), class_OrderedGroup_Ogroup__add-{F}(V0), V2 == V1 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #27: input, references = 3, size of lhs = 4:
% 3.14/3.30 P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), class_Ring__and__Field_Odivision__ring-{F}(V0), P_c_HOL_Oinverse__class_Oinverse-{F}(V2,V0,V1), V2 == V1 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #28: input, references = 3, size of lhs = 5:
% 3.14/3.30 P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), class_Ring__and__Field_Odivision__ring-{F}(V0), class_Ring__and__Field_Odivision__by__zero-{F}(V0), P_c_HOL_Oinverse__class_Oinverse-{F}(V2,V0,V1), V2 == V1 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #29: input, references = 3, size of lhs = 4:
% 3.14/3.30 P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_c_HOL_Ouminus__class_Ouminus-{F}(V1,V0,V2), class_OrderedGroup_Ogroup__add-{F}(V0), V1 == V2 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #30: input, references = 3, size of lhs = 4:
% 3.14/3.30 P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), class_Ring__and__Field_Oring__no__zero__divisors-{F}(V0), P_c_HOL_Otimes__class_Otimes-{F}(V2,V1,V0,V3), V3 == V1 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #31: input, references = 3, size of lhs = 4:
% 3.14/3.30 P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), class_Ring__and__Field_Oring__no__zero__divisors-{F}(V0), P_c_HOL_Otimes__class_Otimes-{F}(V1,V2,V0,V3), V3 == V1 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #32: input, references = 3, size of lhs = 4:
% 3.14/3.30 P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), class_Ring__and__Field_Omult__zero-{F}(V0), P_c_HOL_Otimes__class_Otimes-{F}(V2,V1,V0,V3), V3 == V1 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #33: input, references = 3, size of lhs = 4:
% 3.14/3.30 P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), class_Ring__and__Field_Omult__zero-{F}(V0), P_c_HOL_Otimes__class_Otimes-{F}(V1,V2,V0,V3), V3 == V1 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #34: input, references = 3, size of lhs = 4:
% 3.14/3.30 P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), class_Ring__and__Field_Ocomm__semiring__1-{F}(V0), P_c_HOL_Otimes__class_Otimes-{F}(V1,V2,V0,V3), V3 == V1 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #35: input, references = 3, size of lhs = 4:
% 3.14/3.30 P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), class_RealVector_Oreal__normed__algebra-{F}(V0), P_c_HOL_Otimes__class_Otimes-{F}(V2,V1,V0,V3), V3 == V1 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #36: input, references = 3, size of lhs = 4:
% 3.14/3.30 P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), class_RealVector_Oreal__normed__algebra-{F}(V0), P_c_HOL_Otimes__class_Otimes-{F}(V2,V1,V0,V3), V3 == V1 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #37: input, references = 3, size of lhs = 4:
% 3.14/3.30 P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), class_RealVector_Oreal__normed__algebra-{F}(V0), P_c_HOL_Otimes__class_Otimes-{F}(V1,V2,V0,V3), V3 == V1 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #38: input, references = 3, size of lhs = 4:
% 3.14/3.30 P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), class_RealVector_Oreal__normed__algebra-{F}(V0), P_c_HOL_Otimes__class_Otimes-{F}(V1,V2,V0,V3), V3 == V1 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #39: input, references = 3, size of lhs = 4:
% 3.14/3.30 P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), class_Ring__and__Field_Ocomm__semiring__1-{F}(V0), P_c_HOL_Otimes__class_Otimes-{F}(V2,V1,V0,V3), V3 == V1 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #40: input, references = 3, size of lhs = 4:
% 3.14/3.30 P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), class_Ring__and__Field_Ocomm__semiring__1-{F}(V0), P_c_HOL_Otimes__class_Otimes-{F}(V1,V2,V0,V3), V3 == V1 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #41: input, references = 3, size of lhs = 6:
% 3.14/3.30 P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), class_Ring__and__Field_Odivision__ring-{F}(V0), P_c_HOL_Oinverse__class_Oinverse-{F}(V2,V0,V3), P_c_HOL_Oinverse__class_Oinverse-{F}(V3,V0,V4), V4 == V2, V2 == V1 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #42: input, references = 3, size of lhs = 5:
% 3.14/3.30 P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_c_HOL_Oinverse__class_Odivide-{F}(V1,V1,V0,V2), class_Ring__and__Field_Ofield-{F}(V0), class_Ring__and__Field_Odivision__by__zero-{F}(V0), V2 == V1 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #43: input, references = 3, size of lhs = 4:
% 3.14/3.30 P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), class_OrderedGroup_Oordered__ab__group__add-{F}(V0), P_c_HOL_Ouminus__class_Ouminus-{F}(V2,V0,V2), V2 == V1 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #44: input, references = 3, size of lhs = 4:
% 3.14/3.30 P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_c_HOL_Oinverse__class_Oinverse-{F}(V1,V0,V2), class_Ring__and__Field_Odivision__by__zero-{F}(V0), V2 == V1 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #45: input, references = 3, size of lhs = 5:
% 3.14/3.30 P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_c_HOL_Oinverse__class_Oinverse-{F}(V1,V0,V2), class_Ring__and__Field_Odivision__ring-{F}(V0), class_Ring__and__Field_Odivision__by__zero-{F}(V0), V2 == V1 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #46: input, references = 3, size of lhs = 7:
% 3.14/3.30 P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), class_Ring__and__Field_Odivision__ring-{F}(V0), P_c_HOL_Oinverse__class_Oinverse-{F}(V2,V0,V3), P_c_HOL_Oinverse__class_Oinverse-{F}(V4,V0,V3), V2 == V1, V4 == V2, V4 == V1 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #47: input, references = 3, size of lhs = 4:
% 3.14/3.30 P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_c_OrderedGroup_Olordered__ab__group__add__class_Onprt-{F}(V1,V0,V2), class_OrderedGroup_Olordered__ab__group__add-{F}(V0), V2 == V1 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #48: input, references = 3, size of lhs = 4:
% 3.14/3.30 P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), class_Ring__and__Field_Oring__1__no__zero__divisors-{F}(V0), P_c_Power_Opower__class_Opower-{F}(V2,V3,V0,V1), V2 == V1 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #49: input, references = 3, size of lhs = 7:
% 3.14/3.30 P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), class_Ring__and__Field_Ozero__neq__one-{F}(V0), class_Ring__and__Field_Ono__zero__divisors-{F}(V0), class_Ring__and__Field_Omult__zero-{F}(V0), class_Power_Opower-{F}(V0), P_c_Power_Opower__class_Opower-{F}(V2,V3,V0,V1), V2 == V1 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #50: input, references = 3, size of lhs = 4:
% 3.14/3.30 P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), class_OrderedGroup_Ogroup__add-{F}(V0), P_c_HOL_Ouminus__class_Ouminus-{F}(V2,V0,V1), V2 == V1 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #51: input, references = 3, size of lhs = 5:
% 3.14/3.30 P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), class_Ring__and__Field_Oring__no__zero__divisors-{F}(V0), P_c_HOL_Otimes__class_Otimes-{F}(V3,V2,V0,V1), V2 == V1, V3 == V1 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #52: input, references = 3, size of lhs = 5:
% 3.14/3.30 P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), class_Ring__and__Field_Ono__zero__divisors-{F}(V0), P_c_HOL_Otimes__class_Otimes-{F}(V3,V2,V0,V1), V2 == V1, V3 == V1 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #53: input, references = 3, size of lhs = 5:
% 3.14/3.30 P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), class_Ring__and__Field_Ono__zero__divisors-{F}(V0), P_c_HOL_Otimes__class_Otimes-{F}(V3,V2,V0,V1), V2 == V1, V3 == V1 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #54: input, references = 3, size of lhs = 4:
% 3.14/3.30 P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), class_OrderedGroup_Olordered__ab__group__add-{F}(V0), P_c_HOL_Oplus__class_Oplus-{F}(V2,V2,V0,V1), V2 == V1 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #55: input, references = 3, size of lhs = 4:
% 3.14/3.30 P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), class_OrderedGroup_Oab__group__add-{F}(V0), P_c_HOL_Ominus__class_Ominus-{F}(V2,V2,V0,V3), V3 == V1 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #56: input, references = 3, size of lhs = 4:
% 3.14/3.30 P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), class_OrderedGroup_Ogroup__add-{F}(V0), P_c_HOL_Ominus__class_Ominus-{F}(V2,V2,V0,V3), V3 == V1 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #57: input, references = 3, size of lhs = 4:
% 3.14/3.30 P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), class_OrderedGroup_Ogroup__add-{F}(V0), P_c_HOL_Ominus__class_Ominus-{F}(V2,V1,V0,V3), V3 == V2 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #58: input, references = 3, size of lhs = 4:
% 3.14/3.30 P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), class_OrderedGroup_Ogroup__add-{F}(V0), P_c_HOL_Ominus__class_Ominus-{F}(V2,V2,V0,V3), V3 == V1 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #59: input, references = 3, size of lhs = 5:
% 3.14/3.30 P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), class_Ring__and__Field_Oidom-{F}(V0), class_Int_Onumber__ring-{F}(V0), P_c_HOL_Ominus__class_Ominus-{F}(V2,V2,V0,V3), V3 == V1 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #60: input, references = 3, size of lhs = 5:
% 3.14/3.30 P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), class_Ring__and__Field_Oidom-{F}(V0), class_Int_Onumber__ring-{F}(V0), P_c_HOL_Oplus__class_Oplus-{F}(V4,V2,V0,V4), V2 == V1 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #61: input, references = 3, size of lhs = 4:
% 3.14/3.30 P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_c_HOL_Oplus__class_Oplus-{F}(V1,V1,V0,V2), class_OrderedGroup_Olordered__ab__group__add-{F}(V0), V2 == V1 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #62: input, references = 3, size of lhs = 4:
% 3.14/3.30 P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_c_HOL_Oabs__class_Oabs-{F}(V1,V0,V2), class_OrderedGroup_Opordered__ab__group__add__abs-{F}(V0), V2 == V1 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #63: input, references = 3, size of lhs = 4:
% 3.14/3.30 P_c_HOL_Ozero__class_Ozero-{F}(V0,V3), class_OrderedGroup_Ogroup__add-{F}(V0), P_c_HOL_Ouminus__class_Ouminus-{F}(V2,V0,V3), V3 == V2 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #64: input, references = 3, size of lhs = 4:
% 3.14/3.30 P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), class_RealVector_Oreal__normed__vector-{F}(V0), P_c_RealVector_OscaleR__class_OscaleR-{F}(V2,V1,V0,V3), V3 == V1 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #65: input, references = 3, size of lhs = 4:
% 3.14/3.30 P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), class_RealVector_Oreal__vector-{F}(V0), P_c_RealVector_OscaleR__class_OscaleR-{F}(V2,V1,V0,V3), V3 == V1 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #66: input, references = 3, size of lhs = 4:
% 3.14/3.30 P_c_HOL_Ominus__class_Ominus-{F}(V0,V1,V2,V4), P_c_HOL_Ozero__class_Ozero-{F}(V2,V4), class_OrderedGroup_Oab__group__add-{F}(V2), V0 == V1 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #67: input, references = 3, size of lhs = 4:
% 3.14/3.30 P_c_HOL_Ominus__class_Ominus-{F}(V0,V1,V2,V4), P_c_HOL_Ozero__class_Ozero-{F}(V2,V4), class_OrderedGroup_Ogroup__add-{F}(V2), V0 == V1 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #68: input, references = 3, size of lhs = 5:
% 3.14/3.30 P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), class_Ring__and__Field_Oidom-{F}(V0), class_Int_Onumber__ring-{F}(V0), P_c_HOL_Ominus__class_Ominus-{F}(V3,V2,V0,V1), V3 == V2 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #69: input, references = 3, size of lhs = 4:
% 3.14/3.30 P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), class_Ring__and__Field_Ofield-{F}(V0), P_c_HOL_Oinverse__class_Odivide-{F}(V1,V2,V0,V3), V3 == V1 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #70: input, references = 3, size of lhs = 5:
% 3.14/3.30 P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), class_Ring__and__Field_Ofield-{F}(V0), class_Ring__and__Field_Odivision__by__zero-{F}(V0), P_c_HOL_Oinverse__class_Odivide-{F}(V2,V1,V0,V3), V3 == V1 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #71: input, references = 3, size of lhs = 10:
% 3.14/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_c_RealVector_Oof__real-{F}(V2,V3,V4), class_RealVector_Oreal__field-{F}(V3), P_c_HOL_Oinverse__class_Odivide-{F}(V5,V2,V0,V6), P_c_RealVector_Oof__real-{F}(V6,V3,V7), P_c_RealVector_Oof__real-{F}(V5,V3,V8), P_c_HOL_Oinverse__class_Odivide-{F}(V8,V4,V3,V9), V2 == V1, V7 == V9 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #72: input, references = 3, size of lhs = 10:
% 3.14/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), class_OrderedGroup_Oab__group__add-{F}(V2), P_c_HOL_Oplus__class_Oplus-{F}(V6,V4,V2,V7), P_c_HOL_Oplus__class_Oplus-{F}(V5,V3,V2,V8), P_c_HOL_Ominus__class_Ominus-{F}(V7,V8,V2,V9), P_c_HOL_Ominus__class_Ominus-{F}(V6,V5,V2,V10), P_c_HOL_Ominus__class_Ominus-{F}(V4,V3,V2,V11), P_c_HOL_Oplus__class_Oplus-{F}(V10,V11,V2,V12), V9 == V12 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #73: input, references = 3, size of lhs = 9:
% 3.14/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), class_RealVector_Oreal__normed__algebra-{F}(V2), P_c_HOL_Ominus__class_Ominus-{F}(V5,V4,V2,V6), P_c_HOL_Otimes__class_Otimes-{F}(V6,V3,V2,V7), P_c_HOL_Otimes__class_Otimes-{F}(V5,V3,V2,V8), P_c_HOL_Otimes__class_Otimes-{F}(V4,V3,V2,V9), P_c_HOL_Ominus__class_Ominus-{F}(V8,V9,V2,V10), V7 == V10 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #74: input, references = 3, size of lhs = 9:
% 3.14/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), class_RealVector_Oreal__normed__algebra-{F}(V2), P_c_HOL_Ominus__class_Ominus-{F}(V5,V3,V2,V6), P_c_HOL_Otimes__class_Otimes-{F}(V6,V4,V2,V7), P_c_HOL_Otimes__class_Otimes-{F}(V5,V4,V2,V8), P_c_HOL_Otimes__class_Otimes-{F}(V3,V4,V2,V9), P_c_HOL_Ominus__class_Ominus-{F}(V8,V9,V2,V10), V7 == V10 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #75: input, references = 3, size of lhs = 9:
% 3.14/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), class_RealVector_Oreal__normed__algebra-{F}(V2), P_c_HOL_Ominus__class_Ominus-{F}(V4,V3,V2,V6), P_c_HOL_Otimes__class_Otimes-{F}(V5,V6,V2,V7), P_c_HOL_Otimes__class_Otimes-{F}(V5,V4,V2,V8), P_c_HOL_Otimes__class_Otimes-{F}(V5,V3,V2,V9), P_c_HOL_Ominus__class_Ominus-{F}(V8,V9,V2,V10), V7 == V10 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #76: input, references = 3, size of lhs = 9:
% 3.14/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), class_RealVector_Oreal__normed__algebra-{F}(V2), P_c_HOL_Ominus__class_Ominus-{F}(V5,V4,V2,V6), P_c_HOL_Otimes__class_Otimes-{F}(V3,V6,V2,V7), P_c_HOL_Otimes__class_Otimes-{F}(V3,V5,V2,V8), P_c_HOL_Otimes__class_Otimes-{F}(V3,V4,V2,V9), P_c_HOL_Ominus__class_Ominus-{F}(V8,V9,V2,V10), V7 == V10 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #77: input, references = 3, size of lhs = 7:
% 3.14/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_c_HOL_Ozero__class_Ozero-{F}(V2,V3), class_OrderedGroup_Ogroup__add-{F}(V2), P_c_HOL_Ouminus__class_Ouminus-{F}(V4,V2,V5), P_c_HOL_Oplus__class_Oplus-{F}(V5,V4,V2,V6), V6 == V3 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #78: input, references = 3, size of lhs = 7:
% 3.14/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_c_HOL_Ozero__class_Ozero-{F}(V2,V3), class_OrderedGroup_Ogroup__add-{F}(V2), P_c_HOL_Ouminus__class_Ouminus-{F}(V4,V2,V5), P_c_HOL_Oplus__class_Oplus-{F}(V4,V5,V2,V6), V6 == V3 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #79: input, references = 3, size of lhs = 7:
% 3.14/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_c_HOL_Ozero__class_Ozero-{F}(V2,V3), class_OrderedGroup_Oab__group__add-{F}(V2), P_c_HOL_Ouminus__class_Ouminus-{F}(V4,V2,V5), P_c_HOL_Oplus__class_Oplus-{F}(V5,V4,V2,V6), V6 == V3 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #80: input, references = 3, size of lhs = 7:
% 3.14/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_c_HOL_Ozero__class_Ozero-{F}(V2,V3), class_OrderedGroup_Ogroup__add-{F}(V2), P_c_HOL_Ouminus__class_Ouminus-{F}(V4,V2,V5), P_c_HOL_Oplus__class_Oplus-{F}(V5,V4,V2,V6), V6 == V3 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #81: input, references = 3, size of lhs = 11:
% 3.14/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), class_Ring__and__Field_Osemiring-{F}(V2), P_c_HOL_Otimes__class_Otimes-{F}(V6,V3,V2,V7), P_c_HOL_Otimes__class_Otimes-{F}(V5,V3,V2,V8), P_c_HOL_Oplus__class_Oplus-{F}(V8,V4,V2,V9), P_c_HOL_Oplus__class_Oplus-{F}(V7,V9,V2,V10), P_c_HOL_Oplus__class_Oplus-{F}(V6,V5,V2,V11), P_c_HOL_Otimes__class_Otimes-{F}(V11,V3,V2,V12), P_c_HOL_Oplus__class_Oplus-{F}(V12,V4,V2,V13), V10 == V13 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #82: input, references = 3, size of lhs = 14:
% 3.14/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), class_RealVector_Oreal__normed__algebra-{F}(V2), P_c_HOL_Otimes__class_Otimes-{F}(V4,V3,V2,V7), P_c_HOL_Otimes__class_Otimes-{F}(V6,V5,V2,V8), P_c_HOL_Ominus__class_Ominus-{F}(V7,V8,V2,V9), P_c_HOL_Ominus__class_Ominus-{F}(V4,V6,V2,V10), P_c_HOL_Ominus__class_Ominus-{F}(V3,V5,V2,V11), P_c_HOL_Otimes__class_Otimes-{F}(V10,V11,V2,V12), P_c_HOL_Otimes__class_Otimes-{F}(V10,V5,V2,V13), P_c_HOL_Oplus__class_Oplus-{F}(V12,V13,V2,V14), P_c_HOL_Otimes__class_Otimes-{F}(V6,V11,V2,V15), P_c_HOL_Oplus__class_Oplus-{F}(V14,V15,V2,V16), V9 == V16 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #83: input, references = 3, size of lhs = 8:
% 3.14/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), class_RealVector_Oreal__normed__field-{F}(V2), P_c_HOL_Ouminus__class_Ouminus-{F}(V4,V2,V5), P_c_HOL_Oinverse__class_Odivide-{F}(V5,V3,V2,V6), P_c_HOL_Oinverse__class_Odivide-{F}(V4,V3,V2,V7), P_c_HOL_Ouminus__class_Ouminus-{F}(V7,V2,V8), V6 == V8 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #84: input, references = 3, size of lhs = 9:
% 3.14/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), class_Ring__and__Field_Ofield-{F}(V2), class_Ring__and__Field_Odivision__by__zero-{F}(V2), P_c_HOL_Ouminus__class_Ouminus-{F}(V4,V2,V5), P_c_HOL_Ouminus__class_Ouminus-{F}(V3,V2,V6), P_c_HOL_Oinverse__class_Odivide-{F}(V5,V6,V2,V7), P_c_HOL_Oinverse__class_Odivide-{F}(V4,V3,V2,V8), V7 == V8 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #85: input, references = 3, size of lhs = 6:
% 3.14/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_c_HOL_Ominus__class_Ominus-{F}(V3,V2,V4,V7), class_OrderedGroup_Oab__group__add-{F}(V4), P_c_HOL_Ominus__class_Ominus-{F}(V6,V6,V4,V7), V3 == V2 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #86: input, references = 3, size of lhs = 6:
% 3.14/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_c_HOL_Ominus__class_Ominus-{F}(V2,V3,V4,V5), class_OrderedGroup_Oab__group__add-{F}(V4), P_c_HOL_Ominus__class_Ominus-{F}(V6,V6,V4,V5), V2 == V3 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #87: input, references = 3, size of lhs = 8:
% 3.14/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), class_OrderedGroup_Opordered__ab__group__add__abs-{F}(V2), P_c_HOL_Oplus__class_Oplus-{F}(V4,V3,V2,V5), P_c_HOL_Oabs__class_Oabs-{F}(V5,V2,V6), P_c_HOL_Oabs__class_Oabs-{F}(V4,V2,V7), P_c_HOL_Oabs__class_Oabs-{F}(V3,V2,V8), P_c_HOL_Oplus__class_Oplus-{F}(V7,V8,V2,V9) | c_lessequals-{T}(V6,V9,V2)
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #88: input, references = 3, size of lhs = 7:
% 3.14/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), class_RealVector_Oreal__algebra__1-{F}(V2), P_c_RealVector_OscaleR__class_OscaleR-{F}(V3,V4,V2,V5), P_c_RealVector_Oof__real-{F}(V3,V2,V6), P_c_HOL_Otimes__class_Otimes-{F}(V6,V4,V2,V7), V5 == V7 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #89: input, references = 3, size of lhs = 8:
% 3.14/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), class_Ring__and__Field_Ocomm__semiring__1-{F}(V2), P_c_HOL_Oplus__class_Oplus-{F}(V5,V4,V2,V6), P_c_HOL_Oplus__class_Oplus-{F}(V6,V3,V2,V7), P_c_HOL_Oplus__class_Oplus-{F}(V4,V3,V2,V8), P_c_HOL_Oplus__class_Oplus-{F}(V5,V8,V2,V9), V7 == V9 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #90: input, references = 3, size of lhs = 8:
% 3.14/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), class_Ring__and__Field_Ocomm__semiring__1-{F}(V2), P_c_HOL_Oplus__class_Oplus-{F}(V4,V3,V2,V6), P_c_HOL_Oplus__class_Oplus-{F}(V5,V6,V2,V7), P_c_HOL_Oplus__class_Oplus-{F}(V5,V3,V2,V8), P_c_HOL_Oplus__class_Oplus-{F}(V4,V8,V2,V9), V7 == V9 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #91: input, references = 3, size of lhs = 8:
% 3.14/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), class_Ring__and__Field_Ocomm__semiring__1-{F}(V2), P_c_HOL_Oplus__class_Oplus-{F}(V5,V4,V2,V6), P_c_HOL_Oplus__class_Oplus-{F}(V6,V3,V2,V7), P_c_HOL_Oplus__class_Oplus-{F}(V5,V3,V2,V8), P_c_HOL_Oplus__class_Oplus-{F}(V8,V4,V2,V9), V7 == V9 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #92: input, references = 3, size of lhs = 8:
% 3.14/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), class_Ring__and__Field_Ocomm__semiring__1-{F}(V2), P_c_HOL_Oplus__class_Oplus-{F}(V4,V3,V2,V6), P_c_HOL_Oplus__class_Oplus-{F}(V5,V6,V2,V7), P_c_HOL_Oplus__class_Oplus-{F}(V5,V4,V2,V8), P_c_HOL_Oplus__class_Oplus-{F}(V8,V3,V2,V9), V7 == V9 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #93: input, references = 3, size of lhs = 8:
% 3.14/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), class_OrderedGroup_Oab__semigroup__add-{F}(V2), P_c_HOL_Oplus__class_Oplus-{F}(V5,V4,V2,V6), P_c_HOL_Oplus__class_Oplus-{F}(V6,V3,V2,V7), P_c_HOL_Oplus__class_Oplus-{F}(V4,V3,V2,V8), P_c_HOL_Oplus__class_Oplus-{F}(V5,V8,V2,V9), V7 == V9 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #94: input, references = 3, size of lhs = 8:
% 3.14/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), class_OrderedGroup_Oab__group__add-{F}(V2), P_c_HOL_Oplus__class_Oplus-{F}(V4,V3,V2,V6), P_c_HOL_Oplus__class_Oplus-{F}(V5,V6,V2,V7), P_c_HOL_Oplus__class_Oplus-{F}(V5,V3,V2,V8), P_c_HOL_Oplus__class_Oplus-{F}(V4,V8,V2,V9), V7 == V9 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #95: input, references = 3, size of lhs = 8:
% 3.14/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), class_Ring__and__Field_Ocomm__semiring__1-{F}(V2), P_c_HOL_Oplus__class_Oplus-{F}(V4,V3,V2,V6), P_c_HOL_Oplus__class_Oplus-{F}(V5,V6,V2,V7), P_c_HOL_Oplus__class_Oplus-{F}(V5,V4,V2,V8), P_c_HOL_Oplus__class_Oplus-{F}(V8,V3,V2,V9), V7 == V9 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #96: input, references = 3, size of lhs = 8:
% 3.14/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), class_OrderedGroup_Ocomm__monoid__add-{F}(V2), P_c_HOL_Oplus__class_Oplus-{F}(V5,V4,V2,V6), P_c_HOL_Oplus__class_Oplus-{F}(V6,V3,V2,V7), P_c_HOL_Oplus__class_Oplus-{F}(V4,V3,V2,V8), P_c_HOL_Oplus__class_Oplus-{F}(V5,V8,V2,V9), V7 == V9 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #97: input, references = 3, size of lhs = 8:
% 3.14/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), class_OrderedGroup_Ocomm__monoid__add-{F}(V2), P_c_HOL_Oplus__class_Oplus-{F}(V4,V3,V2,V6), P_c_HOL_Oplus__class_Oplus-{F}(V5,V6,V2,V7), P_c_HOL_Oplus__class_Oplus-{F}(V5,V3,V2,V8), P_c_HOL_Oplus__class_Oplus-{F}(V4,V8,V2,V9), V7 == V9 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #98: input, references = 3, size of lhs = 6:
% 3.14/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), class_Ring__and__Field_Ocomm__semiring__1-{F}(V2), P_c_HOL_Otimes__class_Otimes-{F}(V4,V3,V2,V5), P_c_HOL_Otimes__class_Otimes-{F}(V3,V4,V2,V6), V5 == V6 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #99: input, references = 3, size of lhs = 6:
% 3.14/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), class_Ring__and__Field_Ocomm__semiring__1-{F}(V2), P_c_HOL_Otimes__class_Otimes-{F}(V4,V3,V2,V5), P_c_HOL_Otimes__class_Otimes-{F}(V3,V4,V2,V6), V5 == V6 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #100: input, references = 3, size of lhs = 7:
% 3.14/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), class_Ring__and__Field_Odivision__ring-{F}(V2), class_Ring__and__Field_Odivision__by__zero-{F}(V2), P_c_HOL_Oinverse__class_Oinverse-{F}(V3,V2,V4), P_c_HOL_Oinverse__class_Oinverse-{F}(V4,V2,V5), V5 == V3 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #101: input, references = 3, size of lhs = 6:
% 3.14/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), class_OrderedGroup_Ogroup__add-{F}(V2), P_c_HOL_Ominus__class_Ominus-{F}(V4,V3,V2,V5), P_c_HOL_Oplus__class_Oplus-{F}(V5,V3,V2,V6), V6 == V4 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #102: input, references = 3, size of lhs = 9:
% 3.14/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), class_OrderedGroup_Opordered__ab__group__add__abs-{F}(V2), P_c_HOL_Oabs__class_Oabs-{F}(V4,V2,V5), P_c_HOL_Oabs__class_Oabs-{F}(V3,V2,V6), P_c_HOL_Ominus__class_Ominus-{F}(V5,V6,V2,V7), P_c_HOL_Oabs__class_Oabs-{F}(V7,V2,V8), P_c_HOL_Ominus__class_Ominus-{F}(V4,V3,V2,V9), P_c_HOL_Oabs__class_Oabs-{F}(V9,V2,V10) | c_lessequals-{T}(V8,V10,V2)
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #103: input, references = 3, size of lhs = 9:
% 3.14/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), class_Ring__and__Field_Oidom-{F}(V2), class_Int_Onumber__ring-{F}(V2), P_c_HOL_Otimes__class_Otimes-{F}(V5,V4,V2,V6), P_c_HOL_Otimes__class_Otimes-{F}(V5,V3,V2,V7), P_c_HOL_Oplus__class_Oplus-{F}(V6,V7,V2,V8), P_c_HOL_Oplus__class_Oplus-{F}(V7,V6,V2,V9), V8 == V9 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #104: input, references = 3, size of lhs = 9:
% 3.14/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), class_Ring__and__Field_Oidom-{F}(V2), class_Int_Onumber__ring-{F}(V2), P_c_HOL_Otimes__class_Otimes-{F}(V5,V4,V2,V6), P_c_HOL_Otimes__class_Otimes-{F}(V5,V3,V2,V7), P_c_HOL_Oplus__class_Oplus-{F}(V6,V7,V2,V8), P_c_HOL_Oplus__class_Oplus-{F}(V7,V6,V2,V9), V8 == V9 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #105: input, references = 3, size of lhs = 10:
% 3.14/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_c_HOL_Ozero__class_Ozero-{F}(V2,V3), class_Ring__and__Field_Ofield-{F}(V2), P_c_HOL_Ouminus__class_Ouminus-{F}(V4,V2,V5), P_c_HOL_Oinverse__class_Odivide-{F}(V6,V4,V2,V7), P_c_HOL_Ouminus__class_Ouminus-{F}(V7,V2,V8), P_c_HOL_Oinverse__class_Odivide-{F}(V6,V5,V2,V9), V4 == V3, V8 == V9 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #106: input, references = 3, size of lhs = 10:
% 3.14/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), class_Ring__and__Field_Odivision__by__zero-{F}(V2), class_RealVector_Oreal__normed__field-{F}(V2), P_c_HOL_Oinverse__class_Odivide-{F}(V4,V3,V2,V5), P_c_RealVector_Onorm__class_Onorm-{F}(V5,V2,V6), P_c_RealVector_Onorm__class_Onorm-{F}(V4,V2,V7), P_c_RealVector_Onorm__class_Onorm-{F}(V3,V2,V8), P_c_HOL_Oinverse__class_Odivide-{F}(V7,V8,V0,V9), V6 == V9 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #107: input, references = 3, size of lhs = 10:
% 3.14/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), class_SEQ_Obanach-{F}(V2), class_RealVector_Oreal__normed__field-{F}(V2), P_c_HOL_Ominus__class_Ominus-{F}(V4,V3,V2,V5), P_c_Transcendental_Oexp-{F}(V5,V2,V6), P_c_Transcendental_Oexp-{F}(V4,V2,V7), P_c_Transcendental_Oexp-{F}(V3,V2,V8), P_c_HOL_Oinverse__class_Odivide-{F}(V7,V8,V2,V9), V6 == V9 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #108: input, references = 3, size of lhs = 8:
% 3.14/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), class_Ring__and__Field_Olordered__ring-{F}(V2), P_c_HOL_Otimes__class_Otimes-{F}(V4,V3,V2,V5), P_c_HOL_Oabs__class_Oabs-{F}(V5,V2,V6), P_c_HOL_Oabs__class_Oabs-{F}(V4,V2,V7), P_c_HOL_Oabs__class_Oabs-{F}(V3,V2,V8), P_c_HOL_Otimes__class_Otimes-{F}(V7,V8,V2,V9) | c_lessequals-{T}(V6,V9,V2)
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #109: input, references = 3, size of lhs = 11:
% 3.14/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), class_Ring__and__Field_Oring-{F}(V2), P_c_HOL_Otimes__class_Otimes-{F}(V6,V3,V2,V7), P_c_HOL_Ominus__class_Ominus-{F}(V5,V6,V2,V8), P_c_HOL_Otimes__class_Otimes-{F}(V8,V3,V2,V9), P_c_HOL_Oplus__class_Oplus-{F}(V9,V4,V2,V10), P_c_HOL_Oplus__class_Oplus-{F}(V7,V10,V2,V11), P_c_HOL_Otimes__class_Otimes-{F}(V5,V3,V2,V12), P_c_HOL_Oplus__class_Oplus-{F}(V12,V4,V2,V13), V11 == V13 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #110: input, references = 3, size of lhs = 6:
% 3.14/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_c_RealVector_Oof__real-{F}(V2,V4,V6), P_c_RealVector_Oof__real-{F}(V3,V4,V6), class_RealVector_Oreal__algebra__1-{F}(V4), V2 == V3 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #111: input, references = 3, size of lhs = 8:
% 3.14/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), class_RealVector_Oreal__normed__vector-{F}(V2), P_c_HOL_Ouminus__class_Ouminus-{F}(V3,V2,V5), P_c_RealVector_OscaleR__class_OscaleR-{F}(V4,V5,V2,V6), P_c_RealVector_OscaleR__class_OscaleR-{F}(V4,V3,V2,V7), P_c_HOL_Ouminus__class_Ouminus-{F}(V7,V2,V8), V6 == V8 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #112: input, references = 3, size of lhs = 8:
% 3.14/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), class_RealVector_Oreal__vector-{F}(V2), P_c_HOL_Ouminus__class_Ouminus-{F}(V3,V2,V5), P_c_RealVector_OscaleR__class_OscaleR-{F}(V4,V5,V2,V6), P_c_RealVector_OscaleR__class_OscaleR-{F}(V4,V3,V2,V7), P_c_HOL_Ouminus__class_Ouminus-{F}(V7,V2,V8), V6 == V8 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #113: input, references = 3, size of lhs = 11:
% 3.14/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), class_Ring__and__Field_Opordered__ring-{F}(V2), P_c_HOL_Ominus__class_Ominus-{F}(V7,V6,V2,V8), P_c_HOL_Otimes__class_Otimes-{F}(V8,V3,V2,V9), P_c_HOL_Oplus__class_Oplus-{F}(V9,V5,V2,V10), P_c_HOL_Otimes__class_Otimes-{F}(V7,V3,V2,V11), P_c_HOL_Oplus__class_Oplus-{F}(V11,V5,V2,V12), P_c_HOL_Otimes__class_Otimes-{F}(V6,V3,V2,V13), P_c_HOL_Oplus__class_Oplus-{F}(V13,V4,V2,V14), c_lessequals-{F}(V12,V14,V2) | c_lessequals-{T}(V10,V4,V2)
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #114: input, references = 3, size of lhs = 11:
% 3.14/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), class_Ring__and__Field_Opordered__ring-{F}(V2), P_c_HOL_Otimes__class_Otimes-{F}(V7,V3,V2,V8), P_c_HOL_Oplus__class_Oplus-{F}(V8,V5,V2,V9), P_c_HOL_Otimes__class_Otimes-{F}(V6,V3,V2,V10), P_c_HOL_Oplus__class_Oplus-{F}(V10,V4,V2,V11), P_c_HOL_Ominus__class_Ominus-{F}(V7,V6,V2,V12), P_c_HOL_Otimes__class_Otimes-{F}(V12,V3,V2,V13), P_c_HOL_Oplus__class_Oplus-{F}(V13,V5,V2,V14), c_lessequals-{F}(V14,V4,V2) | c_lessequals-{T}(V9,V11,V2)
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #115: input, references = 3, size of lhs = 11:
% 3.14/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), class_Ring__and__Field_Opordered__ring-{F}(V2), P_c_HOL_Ominus__class_Ominus-{F}(V6,V7,V2,V8), P_c_HOL_Otimes__class_Otimes-{F}(V8,V3,V2,V9), P_c_HOL_Oplus__class_Oplus-{F}(V9,V4,V2,V10), P_c_HOL_Otimes__class_Otimes-{F}(V7,V3,V2,V11), P_c_HOL_Oplus__class_Oplus-{F}(V11,V5,V2,V12), P_c_HOL_Otimes__class_Otimes-{F}(V6,V3,V2,V13), P_c_HOL_Oplus__class_Oplus-{F}(V13,V4,V2,V14), c_lessequals-{F}(V12,V14,V2) | c_lessequals-{T}(V5,V10,V2)
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #116: input, references = 3, size of lhs = 11:
% 3.14/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), class_Ring__and__Field_Opordered__ring-{F}(V2), P_c_HOL_Otimes__class_Otimes-{F}(V7,V3,V2,V8), P_c_HOL_Oplus__class_Oplus-{F}(V8,V5,V2,V9), P_c_HOL_Otimes__class_Otimes-{F}(V6,V3,V2,V10), P_c_HOL_Oplus__class_Oplus-{F}(V10,V4,V2,V11), P_c_HOL_Ominus__class_Ominus-{F}(V6,V7,V2,V12), P_c_HOL_Otimes__class_Otimes-{F}(V12,V3,V2,V13), P_c_HOL_Oplus__class_Oplus-{F}(V13,V4,V2,V14), c_lessequals-{F}(V5,V14,V2) | c_lessequals-{T}(V9,V11,V2)
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #117: input, references = 3, size of lhs = 6:
% 3.14/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_c_Nat_Osemiring__1__class_Oof__nat-{F}(V3,V4,V6), P_c_Nat_Osemiring__1__class_Oof__nat-{F}(V2,V4,V6), class_Nat_Osemiring__char__0-{F}(V4), V3 == V2 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #118: input, references = 3, size of lhs = 8:
% 3.14/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_c_HOL_Otimes__class_Otimes-{F}(V2,V2,V4,V6), P_c_HOL_Otimes__class_Otimes-{F}(V3,V3,V4,V6), P_c_HOL_Ouminus__class_Ouminus-{F}(V3,V4,V7), class_Ring__and__Field_Oidom-{F}(V4), V2 == V3, V2 == V7 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #119: input, references = 3, size of lhs = 6:
% 3.14/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_RealDef_Oreal-{F}(V3,V2,V6), P_c_RealDef_Oreal-{F}(V4,V2,V6), V3 == V4 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #120: input, references = 3, size of lhs = 10:
% 3.14/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), class_RealVector_Oreal__normed__field-{F}(V3), P_c_HOL_Ominus__class_Ominus-{F}(V6,V5,V3,V7), P_c_HOL_Oinverse__class_Odivide-{F}(V7,V4,V3,V8), P_c_HOL_Oinverse__class_Odivide-{F}(V6,V4,V3,V9), P_c_HOL_Oinverse__class_Odivide-{F}(V5,V4,V3,V10), P_c_HOL_Ominus__class_Ominus-{F}(V9,V10,V3,V11), V8 == V11 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #121: input, references = 3, size of lhs = 10:
% 3.14/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), class_Ring__and__Field_Ofield-{F}(V3), P_c_HOL_Ominus__class_Ominus-{F}(V6,V5,V3,V7), P_c_HOL_Oinverse__class_Odivide-{F}(V7,V4,V3,V8), P_c_HOL_Oinverse__class_Odivide-{F}(V6,V4,V3,V9), P_c_HOL_Oinverse__class_Odivide-{F}(V5,V4,V3,V10), P_c_HOL_Ominus__class_Ominus-{F}(V9,V10,V3,V11), V8 == V11 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #122: input, references = 3, size of lhs = 11:
% 3.14/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), class_Ring__and__Field_Ocomm__semiring__1-{F}(V3), P_c_HOL_Otimes__class_Otimes-{F}(V7,V6,V3,V8), P_c_HOL_Otimes__class_Otimes-{F}(V5,V4,V3,V9), P_c_HOL_Otimes__class_Otimes-{F}(V8,V9,V3,V10), P_c_HOL_Otimes__class_Otimes-{F}(V7,V5,V3,V11), P_c_HOL_Otimes__class_Otimes-{F}(V6,V4,V3,V12), P_c_HOL_Otimes__class_Otimes-{F}(V11,V12,V3,V13), V10 == V13 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #123: input, references = 3, size of lhs = 10:
% 3.14/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), class_Ring__and__Field_Ocomm__semiring__1-{F}(V3), P_c_HOL_Otimes__class_Otimes-{F}(V7,V6,V3,V8), P_c_HOL_Otimes__class_Otimes-{F}(V5,V4,V3,V9), P_c_HOL_Otimes__class_Otimes-{F}(V8,V9,V3,V10), P_c_HOL_Otimes__class_Otimes-{F}(V6,V9,V3,V11), P_c_HOL_Otimes__class_Otimes-{F}(V7,V11,V3,V12), V10 == V12 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #124: input, references = 3, size of lhs = 10:
% 3.14/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), class_Ring__and__Field_Ocomm__semiring__1-{F}(V3), P_c_HOL_Otimes__class_Otimes-{F}(V7,V6,V3,V8), P_c_HOL_Otimes__class_Otimes-{F}(V5,V4,V3,V9), P_c_HOL_Otimes__class_Otimes-{F}(V8,V9,V3,V10), P_c_HOL_Otimes__class_Otimes-{F}(V8,V4,V3,V11), P_c_HOL_Otimes__class_Otimes-{F}(V5,V11,V3,V12), V10 == V12 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #125: input, references = 3, size of lhs = 10:
% 3.14/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), class_SEQ_Obanach-{F}(V3), class_RealVector_Oreal__normed__field-{F}(V3), P_c_RealVector_Oof__real-{F}(V4,V3,V5), P_c_Transcendental_Oexp-{F}(V5,V3,V6), P_c_Transcendental_Oexp-{F}(V4,V0,V7), P_c_RealVector_Oof__real-{F}(V7,V3,V8), V6 == V8 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #126: input, references = 3, size of lhs = 10:
% 3.14/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_HOL_Ozero__class_Ozero-{F}(V3,V4), class_Ring__and__Field_Ofield-{F}(V3), class_Ring__and__Field_Odivision__by__zero-{F}(V3), P_c_HOL_Otimes__class_Otimes-{F}(V6,V5,V3,V7), P_c_HOL_Oinverse__class_Odivide-{F}(V7,V5,V3,V8), V5 == V4, V8 == V6 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #127: input, references = 3, size of lhs = 10:
% 3.14/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_HOL_Ozero__class_Ozero-{F}(V3,V4), class_Ring__and__Field_Ofield-{F}(V3), class_Ring__and__Field_Odivision__by__zero-{F}(V3), P_c_HOL_Otimes__class_Otimes-{F}(V6,V5,V3,V7), P_c_HOL_Oinverse__class_Odivide-{F}(V7,V5,V3,V8), V5 == V4, V6 == V8 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #128: input, references = 3, size of lhs = 8:
% 3.14/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), class_OrderedGroup_Olordered__ab__group__add__abs-{F}(V3), P_c_HOL_Oabs__class_Oabs-{F}(V5,V3,V7), P_c_HOL_Oplus__class_Oplus-{F}(V4,V7,V3,V8), P_c_HOL_Oplus__class_Oplus-{F}(V6,V5,V3,V9), c_lessequals-{F}(V9,V4,V3) | c_lessequals-{T}(V6,V8,V3)
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #129: input, references = 3, size of lhs = 9:
% 3.14/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_HOL_Ozero__class_Ozero-{F}(V3,V4), class_Ring__and__Field_Ofield-{F}(V3), P_c_HOL_Otimes__class_Otimes-{F}(V6,V5,V3,V7), P_c_HOL_Oinverse__class_Odivide-{F}(V7,V5,V3,V8), V5 == V4, V8 == V6 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #130: input, references = 3, size of lhs = 9:
% 3.14/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_HOL_Ozero__class_Ozero-{F}(V3,V4), class_Ring__and__Field_Ofield-{F}(V3), P_c_HOL_Otimes__class_Otimes-{F}(V6,V5,V3,V7), P_c_HOL_Oinverse__class_Odivide-{F}(V7,V5,V3,V8), V5 == V4, V6 == V8 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #131: input, references = 3, size of lhs = 7:
% 3.14/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_HOL_Ouminus__class_Ouminus-{F}(V3,V5,V7), P_c_HOL_Ouminus__class_Ouminus-{F}(V4,V5,V7), class_OrderedGroup_Ogroup__add-{F}(V5), V3 == V4 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #132: input, references = 3, size of lhs = 7:
% 3.14/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_HOL_Ouminus__class_Ouminus-{F}(V3,V5,V7), P_c_HOL_Ouminus__class_Ouminus-{F}(V4,V5,V7), class_Lattices_Oboolean__algebra-{F}(V5), V3 == V4 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #133: input, references = 3, size of lhs = 11:
% 3.14/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), class_Ring__and__Field_Ofield-{F}(V3), class_Ring__and__Field_Odivision__by__zero-{F}(V3), P_c_HOL_Oinverse__class_Odivide-{F}(V6,V4,V3,V7), P_c_Power_Opower__class_Opower-{F}(V7,V5,V3,V8), P_c_Power_Opower__class_Opower-{F}(V6,V5,V3,V9), P_c_Power_Opower__class_Opower-{F}(V4,V5,V3,V10), P_c_HOL_Oinverse__class_Odivide-{F}(V9,V10,V3,V11), V8 == V11 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #134: input, references = 3, size of lhs = 10:
% 3.14/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), class_RealVector_Oreal__normed__vector-{F}(V3), P_c_HOL_Ominus__class_Ominus-{F}(V6,V4,V0,V7), P_c_RealVector_OscaleR__class_OscaleR-{F}(V7,V5,V3,V8), P_c_RealVector_OscaleR__class_OscaleR-{F}(V6,V5,V3,V9), P_c_RealVector_OscaleR__class_OscaleR-{F}(V4,V5,V3,V10), P_c_HOL_Ominus__class_Ominus-{F}(V9,V10,V3,V11), V8 == V11 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #135: input, references = 3, size of lhs = 10:
% 3.14/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), class_RealVector_Oreal__vector-{F}(V3), P_c_HOL_Ominus__class_Ominus-{F}(V6,V5,V0,V7), P_c_RealVector_OscaleR__class_OscaleR-{F}(V7,V4,V3,V8), P_c_RealVector_OscaleR__class_OscaleR-{F}(V6,V4,V3,V9), P_c_RealVector_OscaleR__class_OscaleR-{F}(V5,V4,V3,V10), P_c_HOL_Ominus__class_Ominus-{F}(V9,V10,V3,V11), V8 == V11 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #136: input, references = 3, size of lhs = 10:
% 3.14/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), class_RealVector_Oreal__normed__vector-{F}(V3), P_c_HOL_Ominus__class_Ominus-{F}(V5,V4,V3,V7), P_c_RealVector_OscaleR__class_OscaleR-{F}(V6,V7,V3,V8), P_c_RealVector_OscaleR__class_OscaleR-{F}(V6,V5,V3,V9), P_c_RealVector_OscaleR__class_OscaleR-{F}(V6,V4,V3,V10), P_c_HOL_Ominus__class_Ominus-{F}(V9,V10,V3,V11), V8 == V11 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #137: input, references = 3, size of lhs = 10:
% 3.14/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), class_RealVector_Oreal__vector-{F}(V3), P_c_HOL_Ominus__class_Ominus-{F}(V5,V4,V3,V7), P_c_RealVector_OscaleR__class_OscaleR-{F}(V6,V7,V3,V8), P_c_RealVector_OscaleR__class_OscaleR-{F}(V6,V5,V3,V9), P_c_RealVector_OscaleR__class_OscaleR-{F}(V6,V4,V3,V10), P_c_HOL_Ominus__class_Ominus-{F}(V9,V10,V3,V11), V8 == V11 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #138: input, references = 3, size of lhs = 10:
% 3.14/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), class_RealVector_Oreal__vector-{F}(V3), P_c_HOL_Ominus__class_Ominus-{F}(V6,V5,V0,V7), P_c_RealVector_OscaleR__class_OscaleR-{F}(V7,V4,V3,V8), P_c_RealVector_OscaleR__class_OscaleR-{F}(V6,V4,V3,V9), P_c_RealVector_OscaleR__class_OscaleR-{F}(V5,V4,V3,V10), P_c_HOL_Ominus__class_Ominus-{F}(V9,V10,V3,V11), V8 == V11 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #139: input, references = 3, size of lhs = 10:
% 3.14/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), class_Ring__and__Field_Oordered__idom-{F}(V3), P_c_HOL_Otimes__class_Otimes-{F}(V5,V4,V3,V6), P_c_HOL_Oabs__class_Oabs-{F}(V6,V3,V7), P_c_HOL_Oabs__class_Oabs-{F}(V5,V3,V8), P_c_HOL_Oabs__class_Oabs-{F}(V4,V3,V9), P_c_HOL_Otimes__class_Otimes-{F}(V8,V9,V3,V10), V7 == V10 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #140: input, references = 3, size of lhs = 12:
% 3.14/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), class_Ring__and__Field_Ofield-{F}(V3), class_Ring__and__Field_Odivision__by__zero-{F}(V3), P_c_HOL_Oinverse__class_Odivide-{F}(V7,V6,V3,V8), P_c_HOL_Oinverse__class_Odivide-{F}(V5,V4,V3,V9), P_c_HOL_Otimes__class_Otimes-{F}(V8,V9,V3,V10), P_c_HOL_Otimes__class_Otimes-{F}(V7,V5,V3,V11), P_c_HOL_Otimes__class_Otimes-{F}(V6,V4,V3,V12), P_c_HOL_Oinverse__class_Odivide-{F}(V11,V12,V3,V13), V10 == V13 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #141: input, references = 3, size of lhs = 9:
% 3.14/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), class_Ring__and__Field_Oring-{F}(V3), P_c_HOL_Otimes__class_Otimes-{F}(V5,V4,V3,V6), P_c_HOL_Ouminus__class_Ouminus-{F}(V6,V3,V7), P_c_HOL_Ouminus__class_Ouminus-{F}(V5,V3,V8), P_c_HOL_Otimes__class_Otimes-{F}(V8,V4,V3,V9), V7 == V9 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #142: input, references = 3, size of lhs = 9:
% 3.14/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), class_Ring__and__Field_Oring-{F}(V3), P_c_HOL_Otimes__class_Otimes-{F}(V5,V4,V3,V6), P_c_HOL_Ouminus__class_Ouminus-{F}(V6,V3,V7), P_c_HOL_Ouminus__class_Ouminus-{F}(V4,V3,V8), P_c_HOL_Otimes__class_Otimes-{F}(V5,V8,V3,V9), V7 == V9 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #143: input, references = 3, size of lhs = 7:
% 3.14/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), class_OrderedGroup_Oab__semigroup__idem__mult-{F}(V3), P_c_HOL_Otimes__class_Otimes-{F}(V5,V4,V3,V6), P_c_HOL_Otimes__class_Otimes-{F}(V5,V6,V3,V7), V7 == V6 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #144: input, references = 3, size of lhs = 7:
% 3.14/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), class_OrderedGroup_Opordered__ab__group__add__abs-{F}(V3), P_c_HOL_Ouminus__class_Ouminus-{F}(V5,V3,V6), P_c_HOL_Oabs__class_Oabs-{F}(V5,V3,V7), c_lessequals-{F}(V7,V4,V3) | c_lessequals-{T}(V6,V4,V3)
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #145: input, references = 3, size of lhs = 8:
% 3.14/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), class_OrderedGroup_Ogroup__add-{F}(V3), P_c_HOL_Ouminus__class_Ouminus-{F}(V5,V3,V6), P_c_HOL_Oplus__class_Oplus-{F}(V6,V4,V3,V7), P_c_HOL_Oplus__class_Oplus-{F}(V5,V7,V3,V8), V8 == V4 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #146: input, references = 3, size of lhs = 6:
% 3.14/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_NthRoot_Osqrt-{F}(V3,V6), P_c_NthRoot_Osqrt-{F}(V4,V6), V3 == V4 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #147: input, references = 3, size of lhs = 6:
% 3.14/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Oexp-{F}(V3,V0,V6), P_c_Transcendental_Oexp-{F}(V4,V0,V6), V3 == V4 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #148: input, references = 3, size of lhs = 17:
% 3.14/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_HOL_Ozero__class_Ozero-{F}(V3,V4), class_RealVector_Oreal__normed__field-{F}(V3), P_c_HOL_Oinverse__class_Oinverse-{F}(V5,V3,V6), P_c_HOL_Oinverse__class_Oinverse-{F}(V7,V3,V8), P_c_HOL_Ominus__class_Ominus-{F}(V8,V6,V3,V9), P_c_HOL_Ominus__class_Ominus-{F}(V7,V5,V3,V10), P_c_HOL_Oinverse__class_Odivide-{F}(V9,V11,V3,V12), P_c_HOL_Oinverse__class_Odivide-{F}(V10,V11,V3,V13), P_c_HOL_Otimes__class_Otimes-{F}(V8,V13,V3,V14), P_c_HOL_Otimes__class_Otimes-{F}(V14,V6,V3,V15), P_c_HOL_Ouminus__class_Ouminus-{F}(V15,V3,V16), V5 == V4, V7 == V4, V12 == V16 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #149: input, references = 3, size of lhs = 9:
% 3.14/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), class_Ring__and__Field_Ofield-{F}(V3), class_Ring__and__Field_Odivision__by__zero-{F}(V3), P_c_HOL_Oinverse__class_Odivide-{F}(V5,V4,V3,V6), P_c_HOL_Oinverse__class_Oinverse-{F}(V6,V3,V7), P_c_HOL_Oinverse__class_Odivide-{F}(V4,V5,V3,V8), V7 == V8 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #150: input, references = 3, size of lhs = 12:
% 3.14/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_HOL_Ozero__class_Ozero-{F}(V3,V4), class_Ring__and__Field_Oidom-{F}(V3), class_Int_Onumber__ring-{F}(V3), P_c_HOL_Otimes__class_Otimes-{F}(V5,V7,V3,V8), P_c_HOL_Otimes__class_Otimes-{F}(V5,V6,V3,V9), P_c_HOL_Oplus__class_Oplus-{F}(V10,V8,V3,V12), P_c_HOL_Oplus__class_Oplus-{F}(V10,V9,V3,V12), V5 == V4, V7 == V6 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #151: input, references = 3, size of lhs = 9:
% 3.14/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_HOL_Ozero__class_Ozero-{F}(V3,V4), class_Ring__and__Field_Oordered__ring__strict-{F}(V3), P_c_HOL_Otimes__class_Otimes-{F}(V5,V5,V3,V6), P_c_HOL_Otimes__class_Otimes-{F}(V7,V7,V3,V8), P_c_HOL_Oplus__class_Oplus-{F}(V6,V8,V3,V4), V5 == V4 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #152: input, references = 3, size of lhs = 9:
% 3.14/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_HOL_Ozero__class_Ozero-{F}(V3,V4), class_Ring__and__Field_Oordered__ring__strict-{F}(V3), P_c_HOL_Otimes__class_Otimes-{F}(V5,V5,V3,V6), P_c_HOL_Otimes__class_Otimes-{F}(V7,V7,V3,V8), P_c_HOL_Oplus__class_Oplus-{F}(V8,V6,V3,V4), V5 == V4 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #153: input, references = 3, size of lhs = 6:
% 3.14/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), class_OrderedGroup_Oab__semigroup__idem__mult-{F}(V3), P_c_HOL_Otimes__class_Otimes-{F}(V4,V4,V3,V5), V5 == V4 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #154: input, references = 3, size of lhs = 8:
% 3.14/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), class_Ring__and__Field_Odivision__ring-{F}(V3), class_Ring__and__Field_Odivision__by__zero-{F}(V3), P_c_HOL_Oinverse__class_Oinverse-{F}(V5,V3,V7), P_c_HOL_Oinverse__class_Oinverse-{F}(V4,V3,V7), V5 == V4 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #155: input, references = 3, size of lhs = 10:
% 3.14/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), class_Ring__and__Field_Ocomm__semiring__1-{F}(V3), P_c_HOL_Otimes__class_Otimes-{F}(V6,V5,V3,V7), P_c_Power_Opower__class_Opower-{F}(V7,V4,V3,V8), P_c_Power_Opower__class_Opower-{F}(V6,V4,V3,V9), P_c_Power_Opower__class_Opower-{F}(V5,V4,V3,V10), P_c_HOL_Otimes__class_Otimes-{F}(V9,V10,V3,V11), V8 == V11 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #156: input, references = 3, size of lhs = 10:
% 3.14/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), class_OrderedGroup_Ocomm__monoid__mult-{F}(V3), P_c_HOL_Otimes__class_Otimes-{F}(V6,V4,V3,V7), P_c_Power_Opower__class_Opower-{F}(V7,V5,V3,V8), P_c_Power_Opower__class_Opower-{F}(V6,V5,V3,V9), P_c_Power_Opower__class_Opower-{F}(V4,V5,V3,V10), P_c_HOL_Otimes__class_Otimes-{F}(V9,V10,V3,V11), V8 == V11 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #157: input, references = 3, size of lhs = 10:
% 3.14/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), class_Ring__and__Field_Odivision__ring-{F}(V3), class_Ring__and__Field_Odivision__by__zero-{F}(V3), P_c_Power_Opower__class_Opower-{F}(V5,V4,V3,V6), P_c_HOL_Oinverse__class_Oinverse-{F}(V6,V3,V7), P_c_HOL_Oinverse__class_Oinverse-{F}(V5,V3,V8), P_c_Power_Opower__class_Opower-{F}(V8,V4,V3,V9), V7 == V9 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #158: input, references = 3, size of lhs = 10:
% 3.14/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), class_Ring__and__Field_Odivision__ring-{F}(V3), class_Ring__and__Field_Odivision__by__zero-{F}(V3), P_c_HOL_Ouminus__class_Ouminus-{F}(V4,V3,V5), P_c_HOL_Oinverse__class_Oinverse-{F}(V5,V3,V6), P_c_HOL_Oinverse__class_Oinverse-{F}(V4,V3,V7), P_c_HOL_Ouminus__class_Ouminus-{F}(V7,V3,V8), V6 == V8 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #159: input, references = 3, size of lhs = 9:
% 3.14/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), class_OrderedGroup_Opordered__ab__group__add__abs-{F}(V3), P_c_HOL_Oabs__class_Oabs-{F}(V5,V3,V6), P_c_HOL_Oabs__class_Oabs-{F}(V4,V3,V7), P_c_HOL_Ominus__class_Ominus-{F}(V6,V7,V3,V8), P_c_HOL_Ominus__class_Ominus-{F}(V5,V4,V3,V9), P_c_HOL_Oabs__class_Oabs-{F}(V9,V3,V10) | c_lessequals-{T}(V8,V10,V3)
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #160: input, references = 3, size of lhs = 9:
% 3.14/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), class_OrderedGroup_Oab__semigroup__mult-{F}(V3), P_c_HOL_Otimes__class_Otimes-{F}(V6,V5,V3,V7), P_c_HOL_Otimes__class_Otimes-{F}(V7,V4,V3,V8), P_c_HOL_Otimes__class_Otimes-{F}(V5,V4,V3,V9), P_c_HOL_Otimes__class_Otimes-{F}(V6,V9,V3,V10), V8 == V10 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #161: input, references = 3, size of lhs = 9:
% 3.14/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), class_Ring__and__Field_Ocomm__semiring__1-{F}(V3), P_c_HOL_Otimes__class_Otimes-{F}(V6,V5,V3,V7), P_c_HOL_Otimes__class_Otimes-{F}(V7,V4,V3,V8), P_c_HOL_Otimes__class_Otimes-{F}(V6,V4,V3,V9), P_c_HOL_Otimes__class_Otimes-{F}(V9,V5,V3,V10), V8 == V10 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #162: input, references = 3, size of lhs = 9:
% 3.14/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), class_Ring__and__Field_Ocomm__semiring__1-{F}(V3), P_c_HOL_Otimes__class_Otimes-{F}(V6,V5,V3,V7), P_c_HOL_Otimes__class_Otimes-{F}(V7,V4,V3,V8), P_c_HOL_Otimes__class_Otimes-{F}(V5,V4,V3,V9), P_c_HOL_Otimes__class_Otimes-{F}(V6,V9,V3,V10), V8 == V10 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #163: input, references = 3, size of lhs = 9:
% 3.14/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), class_Ring__and__Field_Ocomm__semiring__1-{F}(V3), P_c_HOL_Otimes__class_Otimes-{F}(V5,V4,V3,V7), P_c_HOL_Otimes__class_Otimes-{F}(V6,V7,V3,V8), P_c_HOL_Otimes__class_Otimes-{F}(V6,V5,V3,V9), P_c_HOL_Otimes__class_Otimes-{F}(V9,V4,V3,V10), V8 == V10 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #164: input, references = 3, size of lhs = 9:
% 3.14/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), class_Ring__and__Field_Ocomm__semiring__1-{F}(V3), P_c_HOL_Otimes__class_Otimes-{F}(V5,V4,V3,V7), P_c_HOL_Otimes__class_Otimes-{F}(V6,V7,V3,V8), P_c_HOL_Otimes__class_Otimes-{F}(V6,V4,V3,V9), P_c_HOL_Otimes__class_Otimes-{F}(V5,V9,V3,V10), V8 == V10 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #165: input, references = 3, size of lhs = 9:
% 3.14/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), class_Ring__and__Field_Ocomm__semiring__1-{F}(V3), P_c_HOL_Otimes__class_Otimes-{F}(V5,V4,V3,V7), P_c_HOL_Otimes__class_Otimes-{F}(V6,V7,V3,V8), P_c_HOL_Otimes__class_Otimes-{F}(V6,V5,V3,V9), P_c_HOL_Otimes__class_Otimes-{F}(V9,V4,V3,V10), V8 == V10 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #166: input, references = 3, size of lhs = 10:
% 3.14/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), class_Ring__and__Field_Ocomm__semiring__1-{F}(V3), P_c_HOL_Oplus__class_Oplus-{F}(V6,V5,V3,V7), P_c_HOL_Otimes__class_Otimes-{F}(V7,V4,V3,V8), P_c_HOL_Otimes__class_Otimes-{F}(V6,V4,V3,V9), P_c_HOL_Otimes__class_Otimes-{F}(V5,V4,V3,V10), P_c_HOL_Oplus__class_Oplus-{F}(V9,V10,V3,V11), V8 == V11 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #167: input, references = 3, size of lhs = 10:
% 3.14/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), class_RealVector_Oreal__normed__algebra-{F}(V3), P_c_HOL_Oplus__class_Oplus-{F}(V6,V5,V3,V7), P_c_HOL_Otimes__class_Otimes-{F}(V4,V7,V3,V8), P_c_HOL_Otimes__class_Otimes-{F}(V4,V6,V3,V9), P_c_HOL_Otimes__class_Otimes-{F}(V4,V5,V3,V10), P_c_HOL_Oplus__class_Oplus-{F}(V9,V10,V3,V11), V8 == V11 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #168: input, references = 3, size of lhs = 10:
% 3.14/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), class_RealVector_Oreal__normed__algebra-{F}(V3), P_c_HOL_Oplus__class_Oplus-{F}(V5,V4,V3,V7), P_c_HOL_Otimes__class_Otimes-{F}(V6,V7,V3,V8), P_c_HOL_Otimes__class_Otimes-{F}(V6,V5,V3,V9), P_c_HOL_Otimes__class_Otimes-{F}(V6,V4,V3,V10), P_c_HOL_Oplus__class_Oplus-{F}(V9,V10,V3,V11), V8 == V11 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #169: input, references = 3, size of lhs = 10:
% 3.14/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), class_RealVector_Oreal__normed__algebra-{F}(V3), P_c_HOL_Oplus__class_Oplus-{F}(V6,V5,V3,V7), P_c_HOL_Otimes__class_Otimes-{F}(V7,V4,V3,V8), P_c_HOL_Otimes__class_Otimes-{F}(V6,V4,V3,V9), P_c_HOL_Otimes__class_Otimes-{F}(V5,V4,V3,V10), P_c_HOL_Oplus__class_Oplus-{F}(V9,V10,V3,V11), V8 == V11 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #170: input, references = 3, size of lhs = 10:
% 3.14/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), class_RealVector_Oreal__normed__algebra-{F}(V3), P_c_HOL_Oplus__class_Oplus-{F}(V6,V4,V3,V7), P_c_HOL_Otimes__class_Otimes-{F}(V7,V5,V3,V8), P_c_HOL_Otimes__class_Otimes-{F}(V6,V5,V3,V9), P_c_HOL_Otimes__class_Otimes-{F}(V4,V5,V3,V10), P_c_HOL_Oplus__class_Oplus-{F}(V9,V10,V3,V11), V8 == V11 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #171: input, references = 3, size of lhs = 8:
% 3.14/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_HOL_Ozero__class_Ozero-{F}(V3,V4), class_Ring__and__Field_Ofield-{F}(V3), class_Ring__and__Field_Odivision__by__zero-{F}(V3), P_c_HOL_Oinverse__class_Odivide-{F}(V5,V4,V3,V6), V6 == V4 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #172: input, references = 3, size of lhs = 7:
% 3.14/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_HOL_Ozero__class_Ozero-{F}(V3,V4), class_RealVector_Oreal__normed__field-{F}(V3), P_c_HOL_Oinverse__class_Odivide-{F}(V4,V5,V3,V6), V6 == V4 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #173: input, references = 3, size of lhs = 7:
% 3.14/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_HOL_Ozero__class_Ozero-{F}(V3,V4), class_SEQ_Obanach-{F}(V3), class_RealVector_Oreal__normed__field-{F}(V3), P_c_Transcendental_Oexp-{F}(V5,V3,V4) | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #174: input, references = 3, size of lhs = 7:
% 3.14/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_HOL_Ozero__class_Ozero-{F}(V3,V4), class_OrderedGroup_Omonoid__add-{F}(V3), P_c_HOL_Oplus__class_Oplus-{F}(V5,V4,V3,V6), V6 == V5 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #175: input, references = 3, size of lhs = 7:
% 3.14/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_HOL_Ozero__class_Ozero-{F}(V3,V4), class_OrderedGroup_Omonoid__add-{F}(V3), P_c_HOL_Oplus__class_Oplus-{F}(V4,V5,V3,V6), V6 == V5 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #176: input, references = 3, size of lhs = 7:
% 3.14/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_HOL_Ozero__class_Ozero-{F}(V3,V4), class_OrderedGroup_Ocomm__monoid__add-{F}(V3), P_c_HOL_Oplus__class_Oplus-{F}(V5,V4,V3,V6), V6 == V5 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #177: input, references = 3, size of lhs = 8:
% 3.14/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_HOL_Ozero__class_Ozero-{F}(V3,V4), class_Ring__and__Field_Oidom-{F}(V3), class_Int_Onumber__ring-{F}(V3), P_c_HOL_Oplus__class_Oplus-{F}(V5,V4,V3,V6), V5 == V6 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #178: input, references = 3, size of lhs = 7:
% 3.14/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_HOL_Ozero__class_Ozero-{F}(V3,V4), class_Ring__and__Field_Ocomm__semiring__1-{F}(V3), P_c_HOL_Oplus__class_Oplus-{F}(V4,V5,V3,V6), V6 == V5 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #179: input, references = 3, size of lhs = 7:
% 3.14/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_HOL_Ozero__class_Ozero-{F}(V3,V4), class_OrderedGroup_Ocomm__monoid__add-{F}(V3), P_c_HOL_Oplus__class_Oplus-{F}(V4,V5,V3,V6), V6 == V5 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #180: input, references = 3, size of lhs = 7:
% 3.14/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_HOL_Ozero__class_Ozero-{F}(V3,V4), class_Ring__and__Field_Ocomm__semiring__1-{F}(V3), P_c_HOL_Oplus__class_Oplus-{F}(V5,V4,V3,V6), V6 == V5 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #181: input, references = 3, size of lhs = 7:
% 3.14/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_HOL_Ozero__class_Ozero-{F}(V3,V4), class_Ring__and__Field_Ocomm__semiring__1-{F}(V3), P_c_HOL_Oplus__class_Oplus-{F}(V4,V5,V3,V6), V6 == V5 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #182: input, references = 3, size of lhs = 11:
% 3.14/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_HOL_Ozero__class_Ozero-{F}(V3,V4), class_Ring__and__Field_Oordered__idom-{F}(V3), c_lessequals-{F}(V4,V5,V3), P_c_HOL_Oabs__class_Oabs-{F}(V6,V3,V7), P_c_HOL_Otimes__class_Otimes-{F}(V7,V5,V3,V8), P_c_HOL_Otimes__class_Otimes-{F}(V6,V5,V3,V9), P_c_HOL_Oabs__class_Oabs-{F}(V9,V3,V10), V8 == V10 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #183: input, references = 3, size of lhs = 7:
% 3.14/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_HOL_Ozero__class_Ozero-{F}(V3,V4), class_Ring__and__Field_Oordered__idom-{F}(V3), P_c_HOL_Oabs__class_Oabs-{F}(V6,V3,V7), P_c_Power_Opower__class_Opower-{F}(V7,V5,V3,V8) | c_lessequals-{T}(V4,V8,V3)
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #184: input, references = 3, size of lhs = 8:
% 3.14/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_HOL_Ozero__class_Ozero-{F}(V3,V4), class_OrderedGroup_Olordered__ab__group__add-{F}(V3), P_c_HOL_Ouminus__class_Ouminus-{F}(V5,V3,V7), P_c_HOL_Oplus__class_Oplus-{F}(V6,V5,V3,V8), c_lessequals-{F}(V8,V4,V3) | c_lessequals-{T}(V6,V7,V3)
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #185: input, references = 3, size of lhs = 8:
% 3.14/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_HOL_Ozero__class_Ozero-{F}(V3,V4), class_OrderedGroup_Olordered__ab__group__add-{F}(V3), P_c_HOL_Oplus__class_Oplus-{F}(V6,V5,V3,V7), P_c_HOL_Ouminus__class_Ouminus-{F}(V5,V3,V8), c_lessequals-{F}(V6,V8,V3) | c_lessequals-{T}(V7,V4,V3)
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #186: input, references = 3, size of lhs = 13:
% 3.14/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_HOL_Ozero__class_Ozero-{F}(V3,V4), class_Ring__and__Field_Opordered__ring__abs-{F}(V3), P_c_HOL_Oabs__class_Oabs-{F}(V5,V3,V6), c_lessequals-{F}(V5,V4,V3), P_c_HOL_Otimes__class_Otimes-{F}(V7,V5,V3,V8), P_c_HOL_Oabs__class_Oabs-{F}(V8,V3,V9), P_c_HOL_Oabs__class_Oabs-{F}(V7,V3,V10), P_c_HOL_Otimes__class_Otimes-{F}(V10,V6,V3,V11), c_lessequals-{F}(V7,V4,V3), V9 == V11 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #187: input, references = 3, size of lhs = 13:
% 3.14/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_HOL_Ozero__class_Ozero-{F}(V3,V4), class_Ring__and__Field_Opordered__ring__abs-{F}(V3), P_c_HOL_Oabs__class_Oabs-{F}(V5,V3,V6), c_lessequals-{F}(V4,V5,V3), P_c_HOL_Otimes__class_Otimes-{F}(V7,V5,V3,V8), P_c_HOL_Oabs__class_Oabs-{F}(V8,V3,V9), P_c_HOL_Oabs__class_Oabs-{F}(V7,V3,V10), P_c_HOL_Otimes__class_Otimes-{F}(V10,V6,V3,V11), c_lessequals-{F}(V7,V4,V3), V9 == V11 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #188: input, references = 3, size of lhs = 13:
% 3.14/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_HOL_Ozero__class_Ozero-{F}(V3,V4), class_Ring__and__Field_Opordered__ring__abs-{F}(V3), P_c_HOL_Oabs__class_Oabs-{F}(V5,V3,V6), c_lessequals-{F}(V5,V4,V3), P_c_HOL_Otimes__class_Otimes-{F}(V7,V5,V3,V8), P_c_HOL_Oabs__class_Oabs-{F}(V8,V3,V9), P_c_HOL_Oabs__class_Oabs-{F}(V7,V3,V10), P_c_HOL_Otimes__class_Otimes-{F}(V10,V6,V3,V11), c_lessequals-{F}(V4,V7,V3), V9 == V11 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #189: input, references = 3, size of lhs = 13:
% 3.14/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_HOL_Ozero__class_Ozero-{F}(V3,V4), class_Ring__and__Field_Opordered__ring__abs-{F}(V3), P_c_HOL_Oabs__class_Oabs-{F}(V5,V3,V6), c_lessequals-{F}(V4,V5,V3), P_c_HOL_Otimes__class_Otimes-{F}(V7,V5,V3,V8), P_c_HOL_Oabs__class_Oabs-{F}(V8,V3,V9), P_c_HOL_Oabs__class_Oabs-{F}(V7,V3,V10), P_c_HOL_Otimes__class_Otimes-{F}(V10,V6,V3,V11), c_lessequals-{F}(V4,V7,V3), V9 == V11 | FALSE
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #190: input, references = 3, size of lhs = 7:
% 3.14/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_HOL_Ozero__class_Ozero-{F}(V3,V4), P_c_HOL_Otimes__class_Otimes-{F}(V4,V4,V3,V5), P_c_HOL_Oplus__class_Oplus-{F}(V5,V5,V3,V6), class_Ring__and__Field_Oordered__ring__strict-{F}(V3) | c_lessequals-{T}(V6,V4,V3)
% 3.14/3.30 (used 0 times, uses = {})
% 3.14/3.30
% 3.14/3.30 #191: input, references = 3, size of lhs = 8:
% 3.14/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_HOL_Ozero__class_Ozero-{F}(V3,V4), class_Ring__and__Field_Oordered__ring__strict-{F}(V3), P_c_HOL_Otimes__class_Otimes-{F}(V6,V6,V3,V7), P_c_HOL_Otimes__class_Otimes-{F}(V5,V5,V3,V8), P_c_HOL_Oplus__class_Oplus-{F}(V7,V8,V3,V9) | c_lessequals-{T}(V4,V9,V3)
% 3.14/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #192: input, references = 3, size of lhs = 7:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_HOL_Ozero__class_Ozero-{F}(V3,V4), class_OrderedGroup_Opordered__ab__group__add__abs-{F}(V3), P_c_HOL_Oabs__class_Oabs-{F}(V5,V3,V6), P_c_HOL_Ouminus__class_Ouminus-{F}(V6,V3,V7) | c_lessequals-{T}(V7,V4,V3)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #193: input, references = 3, size of lhs = 10:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_HOL_Ozero__class_Ozero-{F}(V3,V4), class_Ring__and__Field_Oordered__ring__strict-{F}(V3), P_c_HOL_Otimes__class_Otimes-{F}(V5,V5,V3,V6), P_c_HOL_Otimes__class_Otimes-{F}(V7,V7,V3,V8), P_c_HOL_Oplus__class_Oplus-{F}(V8,V6,V3,V9), c_lessequals-{F}(V9,V4,V3), V5 == V4 | FALSE
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #194: input, references = 3, size of lhs = 10:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_HOL_Ozero__class_Ozero-{F}(V3,V4), class_Ring__and__Field_Oordered__ring__strict-{F}(V3), P_c_HOL_Otimes__class_Otimes-{F}(V5,V5,V3,V6), P_c_HOL_Otimes__class_Otimes-{F}(V7,V7,V3,V8), P_c_HOL_Oplus__class_Oplus-{F}(V6,V8,V3,V9), c_lessequals-{F}(V9,V4,V3), V5 == V4 | FALSE
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #195: input, references = 3, size of lhs = 9:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_HOL_Ozero__class_Ozero-{F}(V3,V4), class_OrderedGroup_Opordered__ab__group__add__abs-{F}(V3), P_c_HOL_Oabs__class_Oabs-{F}(V5,V3,V6), P_c_HOL_Ouminus__class_Ouminus-{F}(V5,V3,V7), c_lessequals-{F}(V5,V4,V3), V6 == V7 | FALSE
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #196: input, references = 3, size of lhs = 11:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_HOL_Ozero__class_Ozero-{F}(V3,V4), class_Ring__and__Field_Oordered__field-{F}(V3), class_Ring__and__Field_Odivision__by__zero-{F}(V3), c_lessequals-{F}(V5,V4,V3), P_c_HOL_Oinverse__class_Odivide-{F}(V7,V6,V3,V8), P_c_HOL_Otimes__class_Otimes-{F}(V5,V6,V3,V9), c_lessequals-{F}(V7,V9,V3), c_lessequals-{F}(V9,V7,V3) | c_lessequals-{T}(V5,V8,V3)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #197: input, references = 3, size of lhs = 11:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_HOL_Ozero__class_Ozero-{F}(V3,V4), class_Ring__and__Field_Oordered__field-{F}(V3), class_Ring__and__Field_Odivision__by__zero-{F}(V3), c_lessequals-{F}(V4,V5,V3), P_c_HOL_Oinverse__class_Odivide-{F}(V7,V6,V3,V8), P_c_HOL_Otimes__class_Otimes-{F}(V5,V6,V3,V9), c_lessequals-{F}(V9,V7,V3), c_lessequals-{F}(V7,V9,V3) | c_lessequals-{T}(V8,V5,V3)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #198: input, references = 3, size of lhs = 8:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), class_OrderedGroup_Opordered__ab__group__add-{F}(V3), c_lessequals-{F}(V5,V4,V3), P_c_HOL_Oplus__class_Oplus-{F}(V6,V4,V3,V8), P_c_HOL_Oplus__class_Oplus-{F}(V6,V5,V3,V9), c_lessequals-{F}(V7,V9,V3) | c_lessequals-{T}(V7,V8,V3)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #199: input, references = 3, size of lhs = 5:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), class_OrderedGroup_Opordered__ab__group__add__abs-{F}(V3), P_c_HOL_Oabs__class_Oabs-{F}(V4,V3,V5) | c_lessequals-{T}(V4,V5,V3)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #200: input, references = 3, size of lhs = 8:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), class_OrderedGroup_Opordered__ab__semigroup__add-{F}(V3), c_lessequals-{F}(V5,V4,V3), P_c_HOL_Oplus__class_Oplus-{F}(V7,V5,V3,V8), P_c_HOL_Oplus__class_Oplus-{F}(V6,V4,V3,V9), c_lessequals-{F}(V7,V6,V3) | c_lessequals-{T}(V8,V9,V3)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #201: input, references = 3, size of lhs = 7:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), class_OrderedGroup_Opordered__ab__group__add-{F}(V3), P_c_HOL_Ominus__class_Ominus-{F}(V5,V4,V3,V6), P_c_HOL_Ominus__class_Ominus-{F}(V8,V7,V3,V6), c_lessequals-{F}(V7,V8,V3) | c_lessequals-{T}(V4,V5,V3)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #202: input, references = 3, size of lhs = 7:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), class_OrderedGroup_Opordered__ab__group__add-{F}(V3), P_c_HOL_Ominus__class_Ominus-{F}(V5,V4,V3,V6), c_lessequals-{F}(V4,V5,V3), P_c_HOL_Ominus__class_Ominus-{F}(V8,V7,V3,V6) | c_lessequals-{T}(V7,V8,V3)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #203: input, references = 3, size of lhs = 7:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), class_OrderedGroup_Opordered__ab__semigroup__add__imp__le-{F}(V3), c_lessequals-{F}(V5,V4,V3), P_c_HOL_Oplus__class_Oplus-{F}(V5,V6,V3,V7), P_c_HOL_Oplus__class_Oplus-{F}(V4,V6,V3,V8) | c_lessequals-{T}(V7,V8,V3)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #204: input, references = 3, size of lhs = 7:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), class_OrderedGroup_Opordered__ab__semigroup__add__imp__le-{F}(V3), P_c_HOL_Oplus__class_Oplus-{F}(V5,V6,V3,V7), P_c_HOL_Oplus__class_Oplus-{F}(V4,V6,V3,V8), c_lessequals-{F}(V7,V8,V3) | c_lessequals-{T}(V5,V4,V3)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #205: input, references = 3, size of lhs = 7:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), class_OrderedGroup_Opordered__ab__semigroup__add__imp__le-{F}(V3), c_lessequals-{F}(V5,V4,V3), P_c_HOL_Oplus__class_Oplus-{F}(V6,V5,V3,V7), P_c_HOL_Oplus__class_Oplus-{F}(V6,V4,V3,V8) | c_lessequals-{T}(V7,V8,V3)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #206: input, references = 3, size of lhs = 7:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), class_OrderedGroup_Opordered__ab__semigroup__add__imp__le-{F}(V3), P_c_HOL_Oplus__class_Oplus-{F}(V6,V5,V3,V7), P_c_HOL_Oplus__class_Oplus-{F}(V6,V4,V3,V8), c_lessequals-{F}(V7,V8,V3) | c_lessequals-{T}(V5,V4,V3)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #207: input, references = 3, size of lhs = 7:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), class_OrderedGroup_Opordered__ab__semigroup__add-{F}(V3), c_lessequals-{F}(V5,V4,V3), P_c_HOL_Oplus__class_Oplus-{F}(V5,V6,V3,V7), P_c_HOL_Oplus__class_Oplus-{F}(V4,V6,V3,V8) | c_lessequals-{T}(V7,V8,V3)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #208: input, references = 3, size of lhs = 7:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), class_OrderedGroup_Opordered__ab__semigroup__add-{F}(V3), c_lessequals-{F}(V5,V4,V3), P_c_HOL_Oplus__class_Oplus-{F}(V6,V5,V3,V7), P_c_HOL_Oplus__class_Oplus-{F}(V6,V4,V3,V8) | c_lessequals-{T}(V7,V8,V3)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #209: input, references = 3, size of lhs = 7:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), class_OrderedGroup_Opordered__ab__group__add-{F}(V3), P_c_HOL_Ouminus__class_Ouminus-{F}(V4,V3,V6), P_c_HOL_Ouminus__class_Ouminus-{F}(V5,V3,V7), c_lessequals-{F}(V6,V7,V3) | c_lessequals-{T}(V5,V4,V3)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #210: input, references = 3, size of lhs = 7:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), class_OrderedGroup_Opordered__ab__group__add-{F}(V3), P_c_HOL_Ouminus__class_Ouminus-{F}(V4,V3,V6), P_c_HOL_Ouminus__class_Ouminus-{F}(V5,V3,V7), c_lessequals-{F}(V5,V4,V3) | c_lessequals-{T}(V6,V7,V3)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #211: input, references = 3, size of lhs = 6:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), class_OrderedGroup_Opordered__ab__group__add__abs-{F}(V3), P_c_HOL_Oabs__class_Oabs-{F}(V5,V3,V6), c_lessequals-{F}(V6,V4,V3) | c_lessequals-{T}(V5,V4,V3)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #212: input, references = 3, size of lhs = 7:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), class_OrderedGroup_Opordered__ab__group__add-{F}(V3), P_c_HOL_Ouminus__class_Ouminus-{F}(V5,V3,V6), P_c_HOL_Ouminus__class_Ouminus-{F}(V4,V3,V7), c_lessequals-{F}(V7,V5,V3) | c_lessequals-{T}(V6,V4,V3)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #213: input, references = 3, size of lhs = 7:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), class_OrderedGroup_Opordered__ab__group__add-{F}(V3), P_c_HOL_Ouminus__class_Ouminus-{F}(V4,V3,V6), P_c_HOL_Ouminus__class_Ouminus-{F}(V5,V3,V7), c_lessequals-{F}(V7,V4,V3) | c_lessequals-{T}(V6,V5,V3)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #214: input, references = 3, size of lhs = 7:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), class_OrderedGroup_Opordered__ab__group__add-{F}(V3), P_c_HOL_Ouminus__class_Ouminus-{F}(V4,V3,V6), P_c_HOL_Ouminus__class_Ouminus-{F}(V5,V3,V7), c_lessequals-{F}(V4,V7,V3) | c_lessequals-{T}(V5,V6,V3)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #215: input, references = 3, size of lhs = 7:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), class_OrderedGroup_Opordered__ab__group__add-{F}(V3), P_c_HOL_Ouminus__class_Ouminus-{F}(V5,V3,V6), P_c_HOL_Ouminus__class_Ouminus-{F}(V4,V3,V7), c_lessequals-{F}(V5,V7,V3) | c_lessequals-{T}(V4,V6,V3)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #216: input, references = 3, size of lhs = 8:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_RealVector_OscaleR__class_OscaleR-{F}(V5,V3,V6,V8), P_c_RealVector_OscaleR__class_OscaleR-{F}(V5,V4,V6,V8), class_RealVector_Oreal__vector-{F}(V6), V3 == V4, V5 == V1 | FALSE
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #217: input, references = 3, size of lhs = 7:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), class_RealVector_Oreal__vector-{F}(V3), P_c_RealVector_OscaleR__class_OscaleR-{F}(V1,V5,V3,V6), P_c_RealVector_OscaleR__class_OscaleR-{F}(V1,V4,V3,V7), V6 == V7 | FALSE
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #218: input, references = 3, size of lhs = 5:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_NthRoot_Osqrt-{F}(V3,V1), V3 == V1 | FALSE
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #219: input, references = 3, size of lhs = 4:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V1) | FALSE
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #220: input, references = 4, size of lhs = 6:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), V4 == V1 | FALSE
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #221: input, references = 3, size of lhs = 8:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), class_RealVector_Ometric__space-{F}(V5), P_c_RealVector_Odist__class_Odist-{F}(V6,V6,V5,V7), V7 == V1 | FALSE
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #222: input, references = 3, size of lhs = 8:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_RealVector_Odist__class_Odist-{F}(V5,V6,V7,V1), class_RealVector_Ometric__space-{F}(V7), V5 == V6 | FALSE
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #223: input, references = 3, size of lhs = 8:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_NthRoot_Osqrt-{F}(V5,V7), P_c_NthRoot_Osqrt-{F}(V6,V8), c_lessequals-{F}(V7,V8,V0) | c_lessequals-{T}(V5,V6,V0)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #224: input, references = 3, size of lhs = 8:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_NthRoot_Osqrt-{F}(V5,V7), P_c_NthRoot_Osqrt-{F}(V6,V8), c_lessequals-{F}(V5,V6,V0) | c_lessequals-{T}(V7,V8,V0)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #225: input, references = 3, size of lhs = 8:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Oexp-{F}(V5,V0,V7), P_c_Transcendental_Oexp-{F}(V6,V0,V8), c_lessequals-{F}(V5,V6,V0) | c_lessequals-{T}(V7,V8,V0)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #226: input, references = 3, size of lhs = 8:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Oexp-{F}(V5,V0,V7), P_c_Transcendental_Oexp-{F}(V6,V0,V8), c_lessequals-{F}(V7,V8,V0) | c_lessequals-{T}(V5,V6,V0)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #227: input, references = 3, size of lhs = 8:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_OrderedGroup_Opordered__ab__group__add__abs-{F}(V5), P_c_HOL_Oabs__class_Oabs-{F}(V7,V5,V8) | c_lessequals-{T}(V6,V8,V5)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #228: input, references = 3, size of lhs = 10:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_OrderedGroup_Opordered__comm__monoid__add-{F}(V5), c_lessequals-{F}(V7,V6,V5), P_c_HOL_Oplus__class_Oplus-{F}(V8,V7,V5,V9), c_lessequals-{F}(V8,V6,V5) | c_lessequals-{T}(V9,V6,V5)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #229: input, references = 3, size of lhs = 9:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_OrderedGroup_Olordered__ab__group__add-{F}(V5), P_c_HOL_Oplus__class_Oplus-{F}(V7,V7,V5,V8), c_lessequals-{F}(V7,V6,V5) | c_lessequals-{T}(V8,V6,V5)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #230: input, references = 3, size of lhs = 9:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_OrderedGroup_Olordered__ab__group__add-{F}(V5), P_c_HOL_Oplus__class_Oplus-{F}(V7,V7,V5,V8), c_lessequals-{F}(V8,V6,V5) | c_lessequals-{T}(V7,V6,V5)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #231: input, references = 3, size of lhs = 8:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_OrderedGroup_Olordered__ab__group__add-{F}(V5), P_c_OrderedGroup_Olordered__ab__group__add__class_Onprt-{F}(V7,V5,V7) | c_lessequals-{T}(V7,V6,V5)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #232: input, references = 3, size of lhs = 10:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_OrderedGroup_Olordered__ab__group__add-{F}(V5), P_c_OrderedGroup_Olordered__ab__group__add__class_Onprt-{F}(V7,V5,V8), c_lessequals-{F}(V7,V6,V5), V8 == V7 | FALSE
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #233: input, references = 3, size of lhs = 11:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Oordered__field-{F}(V5), class_Ring__and__Field_Odivision__by__zero-{F}(V5), c_lessequals-{F}(V7,V6,V5), P_c_HOL_Oinverse__class_Odivide-{F}(V8,V7,V5,V9), c_lessequals-{F}(V8,V6,V5) | c_lessequals-{T}(V6,V9,V5)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #234: input, references = 3, size of lhs = 11:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Oordered__field-{F}(V5), class_Ring__and__Field_Odivision__by__zero-{F}(V5), c_lessequals-{F}(V6,V7,V5), P_c_HOL_Oinverse__class_Odivide-{F}(V8,V7,V5,V9), c_lessequals-{F}(V6,V8,V5) | c_lessequals-{T}(V6,V9,V5)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #235: input, references = 3, size of lhs = 9:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_OrderedGroup_Opordered__ab__group__add-{F}(V5), P_c_HOL_Ominus__class_Ominus-{F}(V8,V7,V5,V9), c_lessequals-{F}(V9,V6,V5) | c_lessequals-{T}(V8,V7,V5)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #236: input, references = 3, size of lhs = 9:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_OrderedGroup_Opordered__ab__group__add-{F}(V5), P_c_HOL_Ominus__class_Ominus-{F}(V8,V7,V5,V9), c_lessequals-{F}(V8,V7,V5) | c_lessequals-{T}(V9,V6,V5)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #237: input, references = 3, size of lhs = 8:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_OrderedGroup_Olordered__ab__group__add-{F}(V5), P_c_OrderedGroup_Olordered__ab__group__add__class_Onprt-{F}(V7,V5,V8) | c_lessequals-{T}(V8,V6,V5)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #238: input, references = 3, size of lhs = 10:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Oordered__field-{F}(V5), class_Ring__and__Field_Odivision__by__zero-{F}(V5), P_c_HOL_Oinverse__class_Odivide-{F}(V8,V7,V5,V9), c_lessequals-{F}(V9,V6,V5) | c_lessequals-{T}(V6,V7,V5), c_lessequals-{T}(V7,V6,V5)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #239: input, references = 3, size of lhs = 10:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Oordered__field-{F}(V5), class_Ring__and__Field_Odivision__by__zero-{F}(V5), P_c_HOL_Oinverse__class_Odivide-{F}(V8,V7,V5,V9), c_lessequals-{F}(V9,V6,V5) | c_lessequals-{T}(V7,V6,V5), c_lessequals-{T}(V8,V6,V5)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #240: input, references = 3, size of lhs = 10:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Oordered__field-{F}(V5), class_Ring__and__Field_Odivision__by__zero-{F}(V5), P_c_HOL_Oinverse__class_Odivide-{F}(V8,V7,V5,V9), c_lessequals-{F}(V9,V6,V5) | c_lessequals-{T}(V6,V7,V5), c_lessequals-{T}(V6,V8,V5)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #241: input, references = 3, size of lhs = 10:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Oordered__field-{F}(V5), class_Ring__and__Field_Odivision__by__zero-{F}(V5), P_c_HOL_Oinverse__class_Odivide-{F}(V7,V8,V5,V9), c_lessequals-{F}(V9,V6,V5) | c_lessequals-{T}(V7,V6,V5), c_lessequals-{T}(V6,V7,V5)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #242: input, references = 3, size of lhs = 9:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_OrderedGroup_Oordered__ab__group__add-{F}(V5), P_c_HOL_Ouminus__class_Ouminus-{F}(V7,V5,V8), c_lessequals-{F}(V6,V7,V5) | c_lessequals-{T}(V8,V7,V5)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #243: input, references = 3, size of lhs = 9:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_OrderedGroup_Oordered__ab__group__add-{F}(V5), P_c_HOL_Ouminus__class_Ouminus-{F}(V7,V5,V8), c_lessequals-{F}(V8,V7,V5) | c_lessequals-{T}(V6,V7,V5)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #244: input, references = 3, size of lhs = 9:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_OrderedGroup_Oordered__ab__group__add-{F}(V5), P_c_HOL_Ouminus__class_Ouminus-{F}(V7,V5,V8), c_lessequals-{F}(V7,V6,V5) | c_lessequals-{T}(V7,V8,V5)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #245: input, references = 3, size of lhs = 9:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_OrderedGroup_Oordered__ab__group__add-{F}(V5), P_c_HOL_Ouminus__class_Ouminus-{F}(V7,V5,V8), c_lessequals-{F}(V7,V8,V5) | c_lessequals-{T}(V7,V6,V5)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #246: input, references = 3, size of lhs = 9:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_OrderedGroup_Olordered__ab__group__add-{F}(V5), P_c_HOL_Ouminus__class_Ouminus-{F}(V7,V5,V8), c_lessequals-{F}(V6,V7,V5) | c_lessequals-{T}(V8,V7,V5)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #247: input, references = 3, size of lhs = 9:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_OrderedGroup_Olordered__ab__group__add-{F}(V5), P_c_HOL_Ouminus__class_Ouminus-{F}(V7,V5,V8), c_lessequals-{F}(V8,V7,V5) | c_lessequals-{T}(V6,V7,V5)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #248: input, references = 3, size of lhs = 9:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_OrderedGroup_Olordered__ab__group__add-{F}(V5), P_c_HOL_Ouminus__class_Ouminus-{F}(V7,V5,V8), c_lessequals-{F}(V7,V6,V5) | c_lessequals-{T}(V7,V8,V5)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #249: input, references = 3, size of lhs = 9:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_OrderedGroup_Olordered__ab__group__add-{F}(V5), P_c_HOL_Ouminus__class_Ouminus-{F}(V7,V5,V8), c_lessequals-{F}(V7,V8,V5) | c_lessequals-{T}(V7,V6,V5)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #250: input, references = 3, size of lhs = 9:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Oordered__semidom-{F}(V5), c_lessequals-{F}(V6,V7,V5), P_c_Power_Opower__class_Opower-{F}(V7,V8,V5,V9) | c_lessequals-{T}(V6,V9,V5)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #251: input, references = 3, size of lhs = 9:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Oordered__idom-{F}(V5), c_lessequals-{F}(V6,V7,V5), P_c_Power_Opower__class_Opower-{F}(V7,V8,V5,V9) | c_lessequals-{T}(V6,V9,V5)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #252: input, references = 3, size of lhs = 9:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_OrderedGroup_Olordered__ab__group__add-{F}(V5), P_c_HOL_Oplus__class_Oplus-{F}(V7,V7,V5,V8), c_lessequals-{F}(V6,V7,V5) | c_lessequals-{T}(V6,V8,V5)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #253: input, references = 3, size of lhs = 9:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_OrderedGroup_Olordered__ab__group__add-{F}(V5), P_c_HOL_Oplus__class_Oplus-{F}(V7,V7,V5,V8), c_lessequals-{F}(V6,V8,V5) | c_lessequals-{T}(V6,V7,V5)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #254: input, references = 3, size of lhs = 10:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Oordered__field-{F}(V5), class_Ring__and__Field_Odivision__by__zero-{F}(V5), P_c_HOL_Oinverse__class_Oinverse-{F}(V7,V5,V8), c_lessequals-{F}(V6,V7,V5) | c_lessequals-{T}(V6,V8,V5)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #255: input, references = 3, size of lhs = 10:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Oordered__field-{F}(V5), class_Ring__and__Field_Odivision__by__zero-{F}(V5), P_c_HOL_Oinverse__class_Oinverse-{F}(V7,V5,V8), c_lessequals-{F}(V6,V8,V5) | c_lessequals-{T}(V6,V7,V5)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #256: input, references = 3, size of lhs = 10:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_OrderedGroup_Opordered__comm__monoid__add-{F}(V5), c_lessequals-{F}(V6,V7,V5), P_c_HOL_Oplus__class_Oplus-{F}(V8,V7,V5,V9), c_lessequals-{F}(V6,V8,V5) | c_lessequals-{T}(V6,V9,V5)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #257: input, references = 3, size of lhs = 9:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_OrderedGroup_Opordered__ab__group__add-{F}(V5), P_c_HOL_Ouminus__class_Ouminus-{F}(V7,V5,V8), c_lessequals-{F}(V7,V6,V5) | c_lessequals-{T}(V6,V8,V5)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #258: input, references = 3, size of lhs = 9:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_OrderedGroup_Opordered__ab__group__add-{F}(V5), P_c_HOL_Ouminus__class_Ouminus-{F}(V7,V5,V8), c_lessequals-{F}(V6,V8,V5) | c_lessequals-{T}(V7,V6,V5)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #259: input, references = 3, size of lhs = 8:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_HOL_Oabs__class_Oabs-{F}(V6,V5,V7), class_OrderedGroup_Opordered__ab__group__add__abs-{F}(V5) | c_lessequals-{T}(V7,V6,V5)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #260: input, references = 3, size of lhs = 10:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Opordered__cancel__semiring-{F}(V5), c_lessequals-{F}(V7,V6,V5), P_c_HOL_Otimes__class_Otimes-{F}(V7,V8,V5,V9), c_lessequals-{F}(V6,V8,V5) | c_lessequals-{T}(V9,V6,V5)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #261: input, references = 3, size of lhs = 10:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Opordered__cancel__semiring-{F}(V5), c_lessequals-{F}(V6,V7,V5), P_c_HOL_Otimes__class_Otimes-{F}(V8,V7,V5,V9), c_lessequals-{F}(V8,V6,V5) | c_lessequals-{T}(V9,V6,V5)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #262: input, references = 3, size of lhs = 10:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Opordered__cancel__semiring-{F}(V5), c_lessequals-{F}(V7,V6,V5), P_c_HOL_Otimes__class_Otimes-{F}(V8,V7,V5,V9), c_lessequals-{F}(V6,V8,V5) | c_lessequals-{T}(V9,V6,V5)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #263: input, references = 3, size of lhs = 10:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Opordered__cancel__semiring-{F}(V5), c_lessequals-{F}(V6,V7,V5), P_c_HOL_Otimes__class_Otimes-{F}(V8,V7,V5,V9), c_lessequals-{F}(V8,V6,V5) | c_lessequals-{T}(V9,V6,V5)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #264: input, references = 3, size of lhs = 10:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Opordered__cancel__semiring-{F}(V5), c_lessequals-{F}(V7,V6,V5), P_c_HOL_Otimes__class_Otimes-{F}(V8,V7,V5,V9), c_lessequals-{F}(V6,V8,V5) | c_lessequals-{T}(V9,V6,V5)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #265: input, references = 3, size of lhs = 10:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Oordered__ring__strict-{F}(V5), c_lessequals-{F}(V6,V7,V5), P_c_HOL_Otimes__class_Otimes-{F}(V8,V7,V5,V9), c_lessequals-{F}(V8,V6,V5) | c_lessequals-{T}(V9,V6,V5)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #266: input, references = 3, size of lhs = 10:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Oordered__ring__strict-{F}(V5), c_lessequals-{F}(V7,V6,V5), P_c_HOL_Otimes__class_Otimes-{F}(V8,V7,V5,V9), c_lessequals-{F}(V6,V8,V5) | c_lessequals-{T}(V9,V6,V5)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #267: input, references = 3, size of lhs = 13:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Opordered__semiring-{F}(V5), c_lessequals-{F}(V6,V7,V5), c_lessequals-{F}(V7,V8,V5), P_c_HOL_Otimes__class_Otimes-{F}(V9,V7,V5,V10), c_lessequals-{F}(V6,V9,V5), P_c_HOL_Otimes__class_Otimes-{F}(V11,V8,V5,V12), c_lessequals-{F}(V9,V11,V5) | c_lessequals-{T}(V10,V12,V5)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #268: input, references = 3, size of lhs = 13:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Opordered__semiring-{F}(V5), c_lessequals-{F}(V6,V7,V5), c_lessequals-{F}(V7,V8,V5), P_c_HOL_Otimes__class_Otimes-{F}(V9,V8,V5,V10), c_lessequals-{F}(V6,V9,V5), P_c_HOL_Otimes__class_Otimes-{F}(V11,V7,V5,V12), c_lessequals-{F}(V11,V9,V5) | c_lessequals-{T}(V12,V10,V5)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #269: input, references = 3, size of lhs = 9:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Oordered__ring__strict-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V8,V7,V5,V9), c_lessequals-{F}(V6,V9,V5) | c_lessequals-{T}(V7,V6,V5), c_lessequals-{T}(V6,V7,V5)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #270: input, references = 3, size of lhs = 9:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Oordered__ring__strict-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V8,V7,V5,V9), c_lessequals-{F}(V6,V9,V5) | c_lessequals-{T}(V6,V7,V5), c_lessequals-{T}(V8,V6,V5)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #271: input, references = 3, size of lhs = 12:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), class_Ring__and__Field_Ocomm__semiring__1-{F}(V5), P_c_HOL_Oplus__class_Oplus-{F}(V7,V6,V5,V9), P_c_HOL_Otimes__class_Otimes-{F}(V8,V9,V5,V10), P_c_HOL_Otimes__class_Otimes-{F}(V8,V7,V5,V11), P_c_HOL_Otimes__class_Otimes-{F}(V8,V6,V5,V12), P_c_HOL_Oplus__class_Oplus-{F}(V11,V12,V5,V13), V10 == V13 | FALSE
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #272: input, references = 3, size of lhs = 12:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), class_Ring__and__Field_Ocomm__semiring-{F}(V5), P_c_HOL_Oplus__class_Oplus-{F}(V8,V7,V5,V9), P_c_HOL_Otimes__class_Otimes-{F}(V9,V6,V5,V10), P_c_HOL_Otimes__class_Otimes-{F}(V8,V6,V5,V11), P_c_HOL_Otimes__class_Otimes-{F}(V7,V6,V5,V12), P_c_HOL_Oplus__class_Oplus-{F}(V11,V12,V5,V13), V10 == V13 | FALSE
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #273: input, references = 3, size of lhs = 11:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), class_OrderedGroup_Opordered__ab__group__add__abs-{F}(V5), P_c_HOL_Ominus__class_Ominus-{F}(V7,V6,V5,V8), P_c_HOL_Oabs__class_Oabs-{F}(V8,V5,V9), P_c_HOL_Ominus__class_Ominus-{F}(V6,V7,V5,V10), P_c_HOL_Oabs__class_Oabs-{F}(V10,V5,V11), V9 == V11 | FALSE
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #274: input, references = 3, size of lhs = 12:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), class_Ring__and__Field_Ofield-{F}(V5), class_Ring__and__Field_Odivision__by__zero-{F}(V5), P_c_HOL_Oinverse__class_Odivide-{F}(V7,V6,V5,V8), P_c_HOL_Ouminus__class_Ouminus-{F}(V8,V5,V9), P_c_HOL_Ouminus__class_Ouminus-{F}(V6,V5,V10), P_c_HOL_Oinverse__class_Odivide-{F}(V7,V10,V5,V11), V9 == V11 | FALSE
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #275: input, references = 3, size of lhs = 11:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), class_Ring__and__Field_Ofield-{F}(V5), P_c_HOL_Oinverse__class_Odivide-{F}(V7,V6,V5,V8), P_c_HOL_Ouminus__class_Ouminus-{F}(V8,V5,V9), P_c_HOL_Ouminus__class_Ouminus-{F}(V7,V5,V10), P_c_HOL_Oinverse__class_Odivide-{F}(V10,V6,V5,V11), V9 == V11 | FALSE
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #276: input, references = 3, size of lhs = 12:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), class_Ring__and__Field_Ocomm__semiring__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V8,V6,V5,V9), P_c_HOL_Otimes__class_Otimes-{F}(V7,V6,V5,V10), P_c_HOL_Oplus__class_Oplus-{F}(V9,V10,V5,V11), P_c_HOL_Oplus__class_Oplus-{F}(V8,V7,V5,V12), P_c_HOL_Otimes__class_Otimes-{F}(V12,V6,V5,V13), V11 == V13 | FALSE
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #277: input, references = 3, size of lhs = 18:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Ofield-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V8,V7,V5,V9), P_c_HOL_Oinverse__class_Odivide-{F}(V11,V8,V5,V12), P_c_HOL_Oinverse__class_Odivide-{F}(V10,V7,V5,V13), P_c_HOL_Ominus__class_Ominus-{F}(V12,V13,V5,V14), P_c_HOL_Otimes__class_Otimes-{F}(V11,V7,V5,V15), P_c_HOL_Otimes__class_Otimes-{F}(V10,V8,V5,V16), P_c_HOL_Ominus__class_Ominus-{F}(V15,V16,V5,V17), P_c_HOL_Oinverse__class_Odivide-{F}(V17,V9,V5,V18), V7 == V6, V8 == V6, V14 == V18 | FALSE
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #278: input, references = 3, size of lhs = 11:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), class_RealVector_Oreal__normed__algebra-{F}(V5), P_c_HOL_Ouminus__class_Ouminus-{F}(V7,V5,V8), P_c_HOL_Otimes__class_Otimes-{F}(V8,V6,V5,V9), P_c_HOL_Otimes__class_Otimes-{F}(V7,V6,V5,V10), P_c_HOL_Ouminus__class_Ouminus-{F}(V10,V5,V11), V9 == V11 | FALSE
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #279: input, references = 3, size of lhs = 11:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), class_RealVector_Oreal__normed__algebra-{F}(V5), P_c_HOL_Ouminus__class_Ouminus-{F}(V7,V5,V8), P_c_HOL_Otimes__class_Otimes-{F}(V8,V6,V5,V9), P_c_HOL_Otimes__class_Otimes-{F}(V7,V6,V5,V10), P_c_HOL_Ouminus__class_Ouminus-{F}(V10,V5,V11), V9 == V11 | FALSE
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #280: input, references = 3, size of lhs = 11:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), class_RealVector_Oreal__normed__algebra-{F}(V5), P_c_HOL_Ouminus__class_Ouminus-{F}(V6,V5,V8), P_c_HOL_Otimes__class_Otimes-{F}(V7,V8,V5,V9), P_c_HOL_Otimes__class_Otimes-{F}(V7,V6,V5,V10), P_c_HOL_Ouminus__class_Ouminus-{F}(V10,V5,V11), V9 == V11 | FALSE
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #281: input, references = 3, size of lhs = 11:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), class_RealVector_Oreal__normed__algebra-{F}(V5), P_c_HOL_Ouminus__class_Ouminus-{F}(V7,V5,V8), P_c_HOL_Otimes__class_Otimes-{F}(V6,V8,V5,V9), P_c_HOL_Otimes__class_Otimes-{F}(V6,V7,V5,V10), P_c_HOL_Ouminus__class_Ouminus-{F}(V10,V5,V11), V9 == V11 | FALSE
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #282: input, references = 3, size of lhs = 10:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), class_Ring__and__Field_Oidom-{F}(V5), P_c_HOL_Ouminus__class_Ouminus-{F}(V6,V5,V7), P_c_HOL_Otimes__class_Otimes-{F}(V7,V7,V5,V8), P_c_HOL_Otimes__class_Otimes-{F}(V6,V6,V5,V9), V8 == V9 | FALSE
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #283: input, references = 3, size of lhs = 11:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), class_Ring__and__Field_Oring-{F}(V5), P_c_HOL_Ouminus__class_Ouminus-{F}(V7,V5,V8), P_c_HOL_Ouminus__class_Ouminus-{F}(V6,V5,V9), P_c_HOL_Otimes__class_Otimes-{F}(V8,V9,V5,V10), P_c_HOL_Otimes__class_Otimes-{F}(V7,V6,V5,V11), V10 == V11 | FALSE
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #284: input, references = 3, size of lhs = 14:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_RealVector_Oreal__normed__field-{F}(V5), P_c_RealVector_Onorm__class_Onorm-{F}(V7,V5,V8), P_c_HOL_Oinverse__class_Odivide-{F}(V9,V7,V5,V10), P_c_RealVector_Onorm__class_Onorm-{F}(V10,V5,V11), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V5,V12), P_c_HOL_Oinverse__class_Odivide-{F}(V12,V8,V0,V13), V7 == V6, V11 == V13 | FALSE
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #285: input, references = 4, size of lhs = 11:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Oinverse__class_Odivide-{F}(V5,V6,V0,V7), P_c_NthRoot_Osqrt-{F}(V7,V8), P_c_NthRoot_Osqrt-{F}(V5,V9), P_c_NthRoot_Osqrt-{F}(V6,V10), P_c_HOL_Oinverse__class_Odivide-{F}(V9,V10,V0,V11), V8 == V11 | FALSE
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #286: input, references = 3, size of lhs = 16:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Ofield-{F}(V5), P_c_HOL_Oinverse__class_Oinverse-{F}(V7,V5,V8), P_c_HOL_Oinverse__class_Oinverse-{F}(V9,V5,V10), P_c_HOL_Oplus__class_Oplus-{F}(V10,V8,V5,V11), P_c_HOL_Oplus__class_Oplus-{F}(V9,V7,V5,V12), P_c_HOL_Otimes__class_Otimes-{F}(V12,V10,V5,V13), P_c_HOL_Otimes__class_Otimes-{F}(V13,V8,V5,V14), V7 == V6, V11 == V14, V9 == V6 | FALSE
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #287: input, references = 3, size of lhs = 16:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Odivision__ring-{F}(V5), P_c_HOL_Oinverse__class_Oinverse-{F}(V7,V5,V8), P_c_HOL_Oinverse__class_Oinverse-{F}(V9,V5,V10), P_c_HOL_Oplus__class_Oplus-{F}(V10,V8,V5,V11), P_c_HOL_Oplus__class_Oplus-{F}(V9,V7,V5,V12), P_c_HOL_Otimes__class_Otimes-{F}(V10,V12,V5,V13), P_c_HOL_Otimes__class_Otimes-{F}(V13,V8,V5,V14), V7 == V6, V11 == V14, V9 == V6 | FALSE
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #288: input, references = 3, size of lhs = 10:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_OrderedGroup_Ogroup__add-{F}(V5), P_c_HOL_Ominus__class_Ominus-{F}(V6,V7,V5,V8), P_c_HOL_Ouminus__class_Ouminus-{F}(V7,V5,V9), V8 == V9 | FALSE
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #289: input, references = 3, size of lhs = 15:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Ofield-{F}(V5), class_Ring__and__Field_Odivision__by__zero-{F}(V5), P_c_HOL_Oinverse__class_Odivide-{F}(V9,V7,V5,V10), P_c_HOL_Oplus__class_Oplus-{F}(V10,V8,V5,V11), P_c_HOL_Otimes__class_Otimes-{F}(V8,V7,V5,V12), P_c_HOL_Oplus__class_Oplus-{F}(V9,V12,V5,V13), P_c_HOL_Oinverse__class_Odivide-{F}(V13,V7,V5,V14), V7 == V6, V11 == V14 | FALSE
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #290: input, references = 3, size of lhs = 15:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Ofield-{F}(V5), class_Ring__and__Field_Odivision__by__zero-{F}(V5), P_c_HOL_Oinverse__class_Odivide-{F}(V9,V7,V5,V10), P_c_HOL_Oplus__class_Oplus-{F}(V8,V10,V5,V11), P_c_HOL_Otimes__class_Otimes-{F}(V8,V7,V5,V12), P_c_HOL_Oplus__class_Oplus-{F}(V9,V12,V5,V13), P_c_HOL_Oinverse__class_Odivide-{F}(V13,V7,V5,V14), V7 == V6, V11 == V14 | FALSE
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #291: input, references = 3, size of lhs = 13:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), class_Ring__and__Field_Ocomm__semiring__1-{F}(V5), P_c_HOL_Oplus__class_Oplus-{F}(V9,V8,V5,V10), P_c_HOL_Oplus__class_Oplus-{F}(V7,V6,V5,V11), P_c_HOL_Oplus__class_Oplus-{F}(V10,V11,V5,V12), P_c_HOL_Oplus__class_Oplus-{F}(V9,V7,V5,V13), P_c_HOL_Oplus__class_Oplus-{F}(V8,V6,V5,V14), P_c_HOL_Oplus__class_Oplus-{F}(V13,V14,V5,V15), V12 == V15 | FALSE
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #292: input, references = 3, size of lhs = 17:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Odivision__ring-{F}(V5), P_c_HOL_Oinverse__class_Oinverse-{F}(V7,V5,V8), P_c_HOL_Oinverse__class_Oinverse-{F}(V9,V5,V10), P_c_HOL_Ominus__class_Ominus-{F}(V10,V8,V5,V11), P_c_HOL_Ominus__class_Ominus-{F}(V9,V7,V5,V12), P_c_HOL_Otimes__class_Otimes-{F}(V10,V12,V5,V13), P_c_HOL_Otimes__class_Otimes-{F}(V13,V8,V5,V14), P_c_HOL_Ouminus__class_Ouminus-{F}(V14,V5,V15), V7 == V6, V11 == V15, V9 == V6 | FALSE
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #293: input, references = 3, size of lhs = 10:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), class_OrderedGroup_Oab__group__add-{F}(V5), P_c_HOL_Ominus__class_Ominus-{F}(V7,V6,V5,V8), P_c_HOL_Ouminus__class_Ouminus-{F}(V6,V5,V9), P_c_HOL_Oplus__class_Oplus-{F}(V7,V9,V5,V10), V8 == V10 | FALSE
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #294: input, references = 3, size of lhs = 10:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), class_Int_Onumber__ring-{F}(V5), P_c_HOL_Ominus__class_Ominus-{F}(V7,V6,V5,V8), P_c_HOL_Ouminus__class_Ouminus-{F}(V6,V5,V9), P_c_HOL_Oplus__class_Oplus-{F}(V7,V9,V5,V10), V8 == V10 | FALSE
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #295: input, references = 3, size of lhs = 10:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), class_OrderedGroup_Ogroup__add-{F}(V5), P_c_HOL_Ominus__class_Ominus-{F}(V7,V6,V5,V8), P_c_HOL_Ouminus__class_Ouminus-{F}(V6,V5,V9), P_c_HOL_Oplus__class_Oplus-{F}(V7,V9,V5,V10), V8 == V10 | FALSE
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #296: input, references = 3, size of lhs = 10:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), class_OrderedGroup_Oab__group__add-{F}(V5), P_c_HOL_Ominus__class_Ominus-{F}(V7,V6,V5,V8), P_c_HOL_Ouminus__class_Ouminus-{F}(V6,V5,V9), P_c_HOL_Oplus__class_Oplus-{F}(V7,V9,V5,V10), V8 == V10 | FALSE
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #297: input, references = 3, size of lhs = 13:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Ofield-{F}(V5), P_c_HOL_Ouminus__class_Ouminus-{F}(V7,V5,V8), P_c_HOL_Ouminus__class_Ouminus-{F}(V9,V5,V10), P_c_HOL_Oinverse__class_Odivide-{F}(V10,V8,V5,V11), P_c_HOL_Oinverse__class_Odivide-{F}(V9,V7,V5,V12), V7 == V6, V11 == V12 | FALSE
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #298: input, references = 3, size of lhs = 9:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), class_Ring__and__Field_Oordered__idom-{F}(V5), P_c_Nat_Osemiring__1__class_Oof__nat-{F}(V6,V5,V7), P_c_HOL_Oabs__class_Oabs-{F}(V7,V5,V8), V8 == V7 | FALSE
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #299: input, references = 3, size of lhs = 10:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), class_OrderedGroup_Opordered__ab__group__add__abs-{F}(V5), P_c_HOL_Oabs__class_Oabs-{F}(V7,V5,V8), P_c_HOL_Ouminus__class_Ouminus-{F}(V7,V5,V9), c_lessequals-{F}(V9,V6,V5), c_lessequals-{F}(V7,V6,V5) | c_lessequals-{T}(V8,V6,V5)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #300: input, references = 3, size of lhs = 10:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), class_OrderedGroup_Opordered__ab__group__add__abs-{F}(V5), P_c_HOL_Oabs__class_Oabs-{F}(V7,V5,V8), P_c_HOL_Ouminus__class_Ouminus-{F}(V7,V5,V9), c_lessequals-{F}(V9,V6,V5), c_lessequals-{F}(V7,V6,V5) | c_lessequals-{T}(V8,V6,V5)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #301: input, references = 3, size of lhs = 10:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), class_OrderedGroup_Opordered__ab__group__add__abs-{F}(V5), P_c_HOL_Ouminus__class_Ouminus-{F}(V6,V5,V7), P_c_HOL_Oabs__class_Oabs-{F}(V7,V5,V8), P_c_HOL_Oabs__class_Oabs-{F}(V6,V5,V9), V8 == V9 | FALSE
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #302: input, references = 3, size of lhs = 10:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), class_Ring__and__Field_Oidom-{F}(V5), class_Int_Onumber__ring-{F}(V5), P_c_HOL_Oplus__class_Oplus-{F}(V8,V7,V5,V10), P_c_HOL_Oplus__class_Oplus-{F}(V8,V6,V5,V10), V7 == V6 | FALSE
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #303: input, references = 3, size of lhs = 9:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), class_OrderedGroup_Ocancel__ab__semigroup__add-{F}(V7), P_c_HOL_Oplus__class_Oplus-{F}(V8,V5,V7,V10), P_c_HOL_Oplus__class_Oplus-{F}(V8,V6,V7,V10), V5 == V6 | FALSE
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #304: input, references = 3, size of lhs = 9:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), class_OrderedGroup_Ocancel__semigroup__add-{F}(V7), P_c_HOL_Oplus__class_Oplus-{F}(V8,V5,V7,V10), P_c_HOL_Oplus__class_Oplus-{F}(V8,V6,V7,V10), V5 == V6 | FALSE
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #305: input, references = 3, size of lhs = 9:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), class_OrderedGroup_Ocancel__semigroup__add-{F}(V7), P_c_HOL_Oplus__class_Oplus-{F}(V5,V8,V7,V10), P_c_HOL_Oplus__class_Oplus-{F}(V6,V8,V7,V10), V5 == V6 | FALSE
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #306: input, references = 3, size of lhs = 13:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), class_Ring__and__Field_Ofield-{F}(V5), class_Ring__and__Field_Odivision__by__zero-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V7,V6,V5,V8), P_c_HOL_Oinverse__class_Oinverse-{F}(V8,V5,V9), P_c_HOL_Oinverse__class_Oinverse-{F}(V7,V5,V10), P_c_HOL_Oinverse__class_Oinverse-{F}(V6,V5,V11), P_c_HOL_Otimes__class_Otimes-{F}(V10,V11,V5,V12), V9 == V12 | FALSE
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #307: input, references = 3, size of lhs = 15:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Odivision__ring-{F}(V5), P_c_HOL_Oinverse__class_Oinverse-{F}(V7,V5,V8), P_c_HOL_Otimes__class_Otimes-{F}(V9,V7,V5,V10), P_c_HOL_Oinverse__class_Oinverse-{F}(V10,V5,V11), P_c_HOL_Oinverse__class_Oinverse-{F}(V9,V5,V12), P_c_HOL_Otimes__class_Otimes-{F}(V8,V12,V5,V13), V7 == V6, V11 == V13, V9 == V6 | FALSE
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #308: input, references = 3, size of lhs = 17:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), class_RealVector_Oreal__normed__vector-{F}(V5), P_c_RealVector_OscaleR__class_OscaleR-{F}(V7,V6,V5,V10), P_c_RealVector_OscaleR__class_OscaleR-{F}(V9,V8,V5,V11), P_c_HOL_Ominus__class_Ominus-{F}(V10,V11,V5,V12), P_c_HOL_Ominus__class_Ominus-{F}(V7,V9,V0,V13), P_c_HOL_Ominus__class_Ominus-{F}(V6,V8,V5,V14), P_c_RealVector_OscaleR__class_OscaleR-{F}(V13,V14,V5,V15), P_c_RealVector_OscaleR__class_OscaleR-{F}(V13,V8,V5,V16), P_c_HOL_Oplus__class_Oplus-{F}(V15,V16,V5,V17), P_c_RealVector_OscaleR__class_OscaleR-{F}(V9,V14,V5,V18), P_c_HOL_Oplus__class_Oplus-{F}(V17,V18,V5,V19), V12 == V19 | FALSE
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #309: input, references = 3, size of lhs = 9:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), class_RealVector_Ometric__space-{F}(V5), P_c_RealVector_Odist__class_Odist-{F}(V7,V6,V5,V8), P_c_RealVector_Odist__class_Odist-{F}(V6,V7,V5,V9), V8 == V9 | FALSE
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #310: input, references = 3, size of lhs = 11:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), class_RealVector_Oreal__normed__algebra-{F}(V5), P_c_RealVector_OscaleR__class_OscaleR-{F}(V6,V8,V5,V9), P_c_HOL_Otimes__class_Otimes-{F}(V9,V7,V5,V10), P_c_HOL_Otimes__class_Otimes-{F}(V8,V7,V5,V11), P_c_RealVector_OscaleR__class_OscaleR-{F}(V6,V11,V5,V12), V10 == V12 | FALSE
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #311: input, references = 3, size of lhs = 11:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), class_RealVector_Oreal__normed__algebra-{F}(V5), P_c_RealVector_OscaleR__class_OscaleR-{F}(V6,V8,V5,V9), P_c_HOL_Otimes__class_Otimes-{F}(V9,V7,V5,V10), P_c_HOL_Otimes__class_Otimes-{F}(V8,V7,V5,V11), P_c_RealVector_OscaleR__class_OscaleR-{F}(V6,V11,V5,V12), V10 == V12 | FALSE
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #312: input, references = 3, size of lhs = 11:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), class_RealVector_Oreal__normed__algebra-{F}(V5), P_c_RealVector_OscaleR__class_OscaleR-{F}(V6,V7,V5,V9), P_c_HOL_Otimes__class_Otimes-{F}(V8,V9,V5,V10), P_c_HOL_Otimes__class_Otimes-{F}(V8,V7,V5,V11), P_c_RealVector_OscaleR__class_OscaleR-{F}(V6,V11,V5,V12), V10 == V12 | FALSE
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #313: input, references = 3, size of lhs = 11:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), class_RealVector_Oreal__normed__algebra-{F}(V5), P_c_RealVector_OscaleR__class_OscaleR-{F}(V6,V8,V5,V9), P_c_HOL_Otimes__class_Otimes-{F}(V7,V9,V5,V10), P_c_HOL_Otimes__class_Otimes-{F}(V7,V8,V5,V11), P_c_RealVector_OscaleR__class_OscaleR-{F}(V6,V11,V5,V12), V10 == V12 | FALSE
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #314: input, references = 3, size of lhs = 11:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), class_RealVector_Oreal__algebra-{F}(V5), P_c_RealVector_OscaleR__class_OscaleR-{F}(V8,V7,V5,V9), P_c_HOL_Otimes__class_Otimes-{F}(V9,V6,V5,V10), P_c_HOL_Otimes__class_Otimes-{F}(V7,V6,V5,V11), P_c_RealVector_OscaleR__class_OscaleR-{F}(V8,V11,V5,V12), V10 == V12 | FALSE
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #315: input, references = 3, size of lhs = 11:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), class_RealVector_Oreal__algebra-{F}(V5), P_c_RealVector_OscaleR__class_OscaleR-{F}(V8,V6,V5,V9), P_c_HOL_Otimes__class_Otimes-{F}(V7,V9,V5,V10), P_c_HOL_Otimes__class_Otimes-{F}(V7,V6,V5,V11), P_c_RealVector_OscaleR__class_OscaleR-{F}(V8,V11,V5,V12), V10 == V12 | FALSE
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #316: input, references = 3, size of lhs = 13:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Oordered__field-{F}(V5), P_c_HOL_Oinverse__class_Oinverse-{F}(V7,V5,V8), P_c_HOL_Oabs__class_Oabs-{F}(V8,V5,V9), P_c_HOL_Oabs__class_Oabs-{F}(V7,V5,V10), P_c_HOL_Oinverse__class_Oinverse-{F}(V10,V5,V11), V9 == V11, V7 == V6 | FALSE
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #317: input, references = 3, size of lhs = 14:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Oordered__field-{F}(V5), P_c_HOL_Oabs__class_Oabs-{F}(V7,V5,V8), P_c_HOL_Oinverse__class_Odivide-{F}(V9,V7,V5,V10), P_c_HOL_Oabs__class_Oabs-{F}(V10,V5,V11), P_c_HOL_Oabs__class_Oabs-{F}(V9,V5,V12), P_c_HOL_Oinverse__class_Odivide-{F}(V12,V8,V5,V13), V7 == V6, V11 == V13 | FALSE
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #318: input, references = 3, size of lhs = 11:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), class_RealVector_Oreal__normed__vector-{F}(V5), P_c_RealVector_Onorm__class_Onorm-{F}(V7,V5,V8), P_c_RealVector_Onorm__class_Onorm-{F}(V6,V5,V9), P_c_HOL_Ominus__class_Ominus-{F}(V8,V9,V0,V10), P_c_HOL_Oplus__class_Oplus-{F}(V7,V6,V5,V11), P_c_RealVector_Onorm__class_Onorm-{F}(V11,V5,V12) | c_lessequals-{T}(V10,V12,V0)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #319: input, references = 3, size of lhs = 13:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), class_SEQ_Obanach-{F}(V5), class_RealVector_Oreal__normed__field-{F}(V5), P_c_Transcendental_Oexp-{F}(V7,V5,V8), P_c_Transcendental_Oexp-{F}(V6,V5,V9), P_c_HOL_Otimes__class_Otimes-{F}(V8,V9,V5,V10), P_c_HOL_Oplus__class_Oplus-{F}(V7,V6,V5,V11), P_c_Transcendental_Oexp-{F}(V11,V5,V12), V10 == V12 | FALSE
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #320: input, references = 3, size of lhs = 11:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), class_OrderedGroup_Oab__group__add-{F}(V5), P_c_HOL_Oplus__class_Oplus-{F}(V8,V7,V5,V9), P_c_HOL_Oplus__class_Oplus-{F}(V10,V7,V5,V11), P_c_HOL_Oplus__class_Oplus-{F}(V8,V11,V5,V13), P_c_HOL_Oplus__class_Oplus-{F}(V10,V6,V5,V13), V9 == V6 | FALSE
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #321: input, references = 3, size of lhs = 13:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), class_Ring__and__Field_Odivision__by__zero-{F}(V5), class_RealVector_Oreal__field-{F}(V5), P_c_HOL_Oinverse__class_Odivide-{F}(V7,V6,V0,V8), P_c_RealVector_Oof__real-{F}(V8,V5,V9), P_c_RealVector_Oof__real-{F}(V7,V5,V10), P_c_RealVector_Oof__real-{F}(V6,V5,V11), P_c_HOL_Oinverse__class_Odivide-{F}(V10,V11,V5,V12), V9 == V12 | FALSE
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #322: input, references = 3, size of lhs = 11:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), class_RealVector_Oreal__normed__field-{F}(V5), P_c_RealVector_OscaleR__class_OscaleR-{F}(V6,V8,V5,V9), P_c_HOL_Oinverse__class_Odivide-{F}(V9,V7,V5,V10), P_c_HOL_Oinverse__class_Odivide-{F}(V8,V7,V5,V11), P_c_RealVector_OscaleR__class_OscaleR-{F}(V6,V11,V5,V12), V10 == V12 | FALSE
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #323: input, references = 3, size of lhs = 18:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), class_RealVector_Oreal__field-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V10,V9,V5,V11), P_c_HOL_Otimes__class_Otimes-{F}(V8,V7,V5,V12), P_c_HOL_Ominus__class_Ominus-{F}(V11,V12,V5,V13), P_c_HOL_Oinverse__class_Odivide-{F}(V13,V6,V5,V14), P_c_HOL_Ominus__class_Ominus-{F}(V9,V7,V5,V15), P_c_HOL_Oinverse__class_Odivide-{F}(V15,V6,V5,V16), P_c_HOL_Otimes__class_Otimes-{F}(V10,V16,V5,V17), P_c_HOL_Ominus__class_Ominus-{F}(V10,V8,V5,V18), P_c_HOL_Oinverse__class_Odivide-{F}(V18,V6,V5,V19), P_c_HOL_Otimes__class_Otimes-{F}(V19,V7,V5,V20), P_c_HOL_Oplus__class_Oplus-{F}(V17,V20,V5,V21), V14 == V21 | FALSE
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #324: input, references = 3, size of lhs = 15:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), class_OrderedGroup_Opordered__ab__group__add__abs-{F}(V5), P_c_HOL_Oplus__class_Oplus-{F}(V9,V8,V5,V10), P_c_HOL_Oplus__class_Oplus-{F}(V7,V6,V5,V11), P_c_HOL_Ominus__class_Ominus-{F}(V10,V11,V5,V12), P_c_HOL_Oabs__class_Oabs-{F}(V12,V5,V13), P_c_HOL_Ominus__class_Ominus-{F}(V9,V7,V5,V14), P_c_HOL_Oabs__class_Oabs-{F}(V14,V5,V15), P_c_HOL_Ominus__class_Ominus-{F}(V8,V6,V5,V16), P_c_HOL_Oabs__class_Oabs-{F}(V16,V5,V17), P_c_HOL_Oplus__class_Oplus-{F}(V15,V17,V5,V18) | c_lessequals-{T}(V13,V18,V5)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #325: input, references = 3, size of lhs = 14:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), class_Ring__and__Field_Oring-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V9,V6,V5,V10), P_c_HOL_Oplus__class_Oplus-{F}(V10,V7,V5,V11), P_c_HOL_Otimes__class_Otimes-{F}(V8,V6,V5,V12), P_c_HOL_Ominus__class_Ominus-{F}(V9,V8,V5,V13), P_c_HOL_Otimes__class_Otimes-{F}(V13,V6,V5,V14), P_c_HOL_Oplus__class_Oplus-{F}(V14,V7,V5,V15), P_c_HOL_Oplus__class_Oplus-{F}(V12,V15,V5,V16), V11 == V16 | FALSE
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #326: input, references = 3, size of lhs = 9:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), class_OrderedGroup_Opordered__ab__group__add__abs-{F}(V5), P_c_HOL_Oabs__class_Oabs-{F}(V6,V5,V7), P_c_HOL_Oabs__class_Oabs-{F}(V7,V5,V8), V8 == V7 | FALSE
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #327: input, references = 3, size of lhs = 14:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), class_Ring__and__Field_Oring-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V10,V6,V5,V11), P_c_HOL_Oplus__class_Oplus-{F}(V11,V8,V5,V14), P_c_HOL_Otimes__class_Otimes-{F}(V9,V6,V5,V13), P_c_HOL_Oplus__class_Oplus-{F}(V13,V7,V5,V14), P_c_HOL_Ominus__class_Ominus-{F}(V10,V9,V5,V15), P_c_HOL_Otimes__class_Otimes-{F}(V15,V6,V5,V16), P_c_HOL_Oplus__class_Oplus-{F}(V16,V8,V5,V17), V17 == V7 | FALSE
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #328: input, references = 3, size of lhs = 14:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), class_Ring__and__Field_Oring-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V10,V6,V5,V11), P_c_HOL_Oplus__class_Oplus-{F}(V11,V8,V5,V14), P_c_HOL_Otimes__class_Otimes-{F}(V9,V6,V5,V13), P_c_HOL_Oplus__class_Oplus-{F}(V13,V7,V5,V14), P_c_HOL_Ominus__class_Ominus-{F}(V9,V10,V5,V15), P_c_HOL_Otimes__class_Otimes-{F}(V15,V6,V5,V16), P_c_HOL_Oplus__class_Oplus-{F}(V16,V7,V5,V17), V8 == V17 | FALSE
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #329: input, references = 3, size of lhs = 10:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), class_RealVector_Oreal__normed__vector-{F}(V5), P_c_HOL_Ouminus__class_Ouminus-{F}(V6,V5,V7), P_c_RealVector_Onorm__class_Onorm-{F}(V7,V5,V8), P_c_RealVector_Onorm__class_Onorm-{F}(V6,V5,V9), V8 == V9 | FALSE
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #330: input, references = 3, size of lhs = 11:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), class_RealVector_Oreal__normed__vector-{F}(V5), P_c_RealVector_Onorm__class_Onorm-{F}(V7,V5,V8), P_c_RealVector_Onorm__class_Onorm-{F}(V6,V5,V9), P_c_HOL_Ominus__class_Ominus-{F}(V8,V9,V0,V10), P_c_HOL_Ominus__class_Ominus-{F}(V7,V6,V5,V11), P_c_RealVector_Onorm__class_Onorm-{F}(V11,V5,V12) | c_lessequals-{T}(V10,V12,V0)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #331: input, references = 3, size of lhs = 11:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), class_RealVector_Oreal__normed__vector-{F}(V5), P_c_RealVector_OscaleR__class_OscaleR-{F}(V6,V7,V5,V9), P_c_RealVector_OscaleR__class_OscaleR-{F}(V8,V9,V5,V10), P_c_RealVector_OscaleR__class_OscaleR-{F}(V8,V7,V5,V11), P_c_RealVector_OscaleR__class_OscaleR-{F}(V6,V11,V5,V12), V10 == V12 | FALSE
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #332: input, references = 3, size of lhs = 11:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), class_RealVector_Oreal__vector-{F}(V5), P_c_RealVector_OscaleR__class_OscaleR-{F}(V7,V6,V5,V9), P_c_RealVector_OscaleR__class_OscaleR-{F}(V8,V9,V5,V10), P_c_RealVector_OscaleR__class_OscaleR-{F}(V8,V6,V5,V11), P_c_RealVector_OscaleR__class_OscaleR-{F}(V7,V11,V5,V12), V10 == V12 | FALSE
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #333: input, references = 3, size of lhs = 11:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), class_RealVector_Oreal__normed__vector-{F}(V5), P_c_RealVector_OscaleR__class_OscaleR-{F}(V7,V8,V5,V9), P_c_RealVector_OscaleR__class_OscaleR-{F}(V6,V9,V5,V10), P_c_RealVector_OscaleR__class_OscaleR-{F}(V6,V8,V5,V11), P_c_RealVector_OscaleR__class_OscaleR-{F}(V7,V11,V5,V12), V10 == V12 | FALSE
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #334: input, references = 3, size of lhs = 9:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), class_Ring__and__Field_Ocomm__semiring__1-{F}(V5), P_c_HOL_Oplus__class_Oplus-{F}(V7,V6,V5,V8), P_c_HOL_Oplus__class_Oplus-{F}(V6,V7,V5,V9), V8 == V9 | FALSE
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #335: input, references = 3, size of lhs = 9:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), class_Ring__and__Field_Ocomm__semiring__1-{F}(V5), P_c_HOL_Oplus__class_Oplus-{F}(V7,V6,V5,V8), P_c_HOL_Oplus__class_Oplus-{F}(V6,V7,V5,V9), V8 == V9 | FALSE
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #336: input, references = 3, size of lhs = 9:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), class_OrderedGroup_Ocomm__monoid__add-{F}(V5), P_c_HOL_Oplus__class_Oplus-{F}(V7,V6,V5,V8), P_c_HOL_Oplus__class_Oplus-{F}(V6,V7,V5,V9), V8 == V9 | FALSE
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #337: input, references = 3, size of lhs = 10:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), class_OrderedGroup_Omonoid__mult-{F}(V5), P_c_Power_Opower__class_Opower-{F}(V7,V6,V5,V8), P_c_HOL_Otimes__class_Otimes-{F}(V8,V7,V5,V9), P_c_HOL_Otimes__class_Otimes-{F}(V7,V8,V5,V10), V9 == V10 | FALSE
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #338: input, references = 3, size of lhs = 12:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), class_RealVector_Oreal__algebra__1-{F}(V5), P_c_HOL_Ominus__class_Ominus-{F}(V7,V6,V0,V8), P_c_RealVector_Oof__real-{F}(V8,V5,V9), P_c_RealVector_Oof__real-{F}(V7,V5,V10), P_c_RealVector_Oof__real-{F}(V6,V5,V11), P_c_HOL_Ominus__class_Ominus-{F}(V10,V11,V5,V12), V9 == V12 | FALSE
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #339: input, references = 3, size of lhs = 13:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), class_RealVector_Oreal__normed__vector-{F}(V5), class_RealVector_Oreal__algebra__1-{F}(V5), P_c_HOL_Ominus__class_Ominus-{F}(V7,V6,V0,V8), P_c_RealVector_Oof__real-{F}(V8,V5,V9), P_c_RealVector_Oof__real-{F}(V7,V5,V10), P_c_RealVector_Oof__real-{F}(V6,V5,V11), P_c_HOL_Ominus__class_Ominus-{F}(V10,V11,V5,V12), V9 == V12 | FALSE
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #340: input, references = 3, size of lhs = 8:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), class_OrderedGroup_Opordered__ab__group__add__abs-{F}(V5), P_c_HOL_Ouminus__class_Ouminus-{F}(V6,V5,V7), P_c_HOL_Oabs__class_Oabs-{F}(V6,V5,V8) | c_lessequals-{T}(V7,V8,V5)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #341: input, references = 3, size of lhs = 11:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Ofield-{F}(V5), class_Ring__and__Field_Odivision__by__zero-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V6,V7,V5,V8), P_c_HOL_Oinverse__class_Odivide-{F}(V8,V7,V5,V9), V6 == V9 | FALSE
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #342: input, references = 3, size of lhs = 10:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_OrderedGroup_Ogroup__add-{F}(V5), P_c_HOL_Oplus__class_Oplus-{F}(V8,V7,V5,V6), P_c_HOL_Ouminus__class_Ouminus-{F}(V8,V5,V10), V10 == V7 | FALSE
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #343: input, references = 3, size of lhs = 10:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_OrderedGroup_Ogroup__add-{F}(V5), P_c_HOL_Oplus__class_Oplus-{F}(V8,V7,V5,V6), P_c_HOL_Ouminus__class_Ouminus-{F}(V7,V5,V10), V8 == V10 | FALSE
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #344: input, references = 3, size of lhs = 15:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), class_Ring__and__Field_Oidom-{F}(V5), class_Int_Onumber__ring-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V9,V7,V5,V10), P_c_HOL_Otimes__class_Otimes-{F}(V8,V6,V5,V11), P_c_HOL_Oplus__class_Oplus-{F}(V10,V11,V5,V15), P_c_HOL_Otimes__class_Otimes-{F}(V9,V6,V5,V13), P_c_HOL_Otimes__class_Otimes-{F}(V8,V7,V5,V14), P_c_HOL_Oplus__class_Oplus-{F}(V13,V14,V5,V15), V7 == V6, V9 == V8 | FALSE
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #345: input, references = 3, size of lhs = 15:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), class_Ring__and__Field_Oidom-{F}(V5), class_Int_Onumber__ring-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V8,V7,V5,V10), P_c_HOL_Otimes__class_Otimes-{F}(V9,V6,V5,V11), P_c_HOL_Oplus__class_Oplus-{F}(V10,V11,V5,V15), P_c_HOL_Otimes__class_Otimes-{F}(V8,V6,V5,V13), P_c_HOL_Otimes__class_Otimes-{F}(V9,V7,V5,V14), P_c_HOL_Oplus__class_Oplus-{F}(V13,V14,V5,V15), V7 == V6, V8 == V9 | FALSE
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #346: input, references = 3, size of lhs = 10:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), class_Ring__and__Field_Oordered__idom-{F}(V5), P_c_HOL_Oabs__class_Oabs-{F}(V6,V5,V7), P_c_HOL_Otimes__class_Otimes-{F}(V7,V7,V5,V8), P_c_HOL_Otimes__class_Otimes-{F}(V6,V6,V5,V9), V8 == V9 | FALSE
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #347: input, references = 3, size of lhs = 13:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Odivision__ring-{F}(V5), P_c_HOL_Oinverse__class_Oinverse-{F}(V7,V5,V8), P_c_Power_Opower__class_Opower-{F}(V7,V9,V5,V10), P_c_HOL_Oinverse__class_Oinverse-{F}(V10,V5,V11), P_c_Power_Opower__class_Opower-{F}(V8,V9,V5,V12), V7 == V6, V11 == V12 | FALSE
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #348: input, references = 3, size of lhs = 13:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Odivision__ring-{F}(V5), P_c_HOL_Ouminus__class_Ouminus-{F}(V7,V5,V8), P_c_HOL_Oinverse__class_Oinverse-{F}(V8,V5,V9), P_c_HOL_Oinverse__class_Oinverse-{F}(V7,V5,V10), P_c_HOL_Ouminus__class_Ouminus-{F}(V10,V5,V11), V9 == V11, V7 == V6 | FALSE
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #349: input, references = 3, size of lhs = 18:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Ofield-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V8,V7,V5,V9), P_c_HOL_Oinverse__class_Odivide-{F}(V11,V8,V5,V12), P_c_HOL_Oinverse__class_Odivide-{F}(V10,V7,V5,V13), P_c_HOL_Oplus__class_Oplus-{F}(V12,V13,V5,V14), P_c_HOL_Otimes__class_Otimes-{F}(V11,V7,V5,V15), P_c_HOL_Otimes__class_Otimes-{F}(V10,V8,V5,V16), P_c_HOL_Oplus__class_Oplus-{F}(V15,V16,V5,V17), P_c_HOL_Oinverse__class_Odivide-{F}(V17,V9,V5,V18), V7 == V6, V8 == V6, V14 == V18 | FALSE
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #350: input, references = 3, size of lhs = 12:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Ofield-{F}(V5), class_Ring__and__Field_Odivision__by__zero-{F}(V5), P_c_HOL_Oinverse__class_Odivide-{F}(V8,V7,V5,V9), P_c_HOL_Otimes__class_Otimes-{F}(V9,V7,V5,V10), V7 == V6, V8 == V10 | FALSE
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #351: input, references = 3, size of lhs = 12:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Ofield-{F}(V5), class_Ring__and__Field_Odivision__by__zero-{F}(V5), P_c_HOL_Oinverse__class_Odivide-{F}(V8,V7,V5,V9), P_c_HOL_Otimes__class_Otimes-{F}(V9,V7,V5,V10), V7 == V6, V10 == V8 | FALSE
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #352: input, references = 3, size of lhs = 12:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), class_Ring__and__Field_Oordered__idom-{F}(V5), P_c_HOL_Ouminus__class_Ouminus-{F}(V7,V5,V8), P_c_Power_Opower__class_Opower-{F}(V8,V6,V5,V9), P_c_HOL_Oabs__class_Oabs-{F}(V9,V5,V10), P_c_Power_Opower__class_Opower-{F}(V7,V6,V5,V11), P_c_HOL_Oabs__class_Oabs-{F}(V11,V5,V12), V10 == V12 | FALSE
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #353: input, references = 3, size of lhs = 10:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), class_OrderedGroup_Oab__group__add-{F}(V5), P_c_HOL_Ouminus__class_Ouminus-{F}(V6,V5,V8), P_c_HOL_Oplus__class_Oplus-{F}(V7,V6,V5,V9), P_c_HOL_Oplus__class_Oplus-{F}(V8,V9,V5,V10), V10 == V7 | FALSE
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #354: input, references = 3, size of lhs = 10:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), class_OrderedGroup_Ogroup__add-{F}(V5), P_c_HOL_Ouminus__class_Ouminus-{F}(V7,V5,V8), P_c_HOL_Oplus__class_Oplus-{F}(V7,V6,V5,V9), P_c_HOL_Oplus__class_Oplus-{F}(V8,V9,V5,V10), V10 == V6 | FALSE
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #355: input, references = 3, size of lhs = 11:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), class_Ring__and__Field_Oring-{F}(V5), P_c_HOL_Ouminus__class_Ouminus-{F}(V7,V5,V8), P_c_HOL_Otimes__class_Otimes-{F}(V8,V6,V5,V9), P_c_HOL_Ouminus__class_Ouminus-{F}(V6,V5,V10), P_c_HOL_Otimes__class_Otimes-{F}(V7,V10,V5,V11), V9 == V11 | FALSE
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #356: input, references = 3, size of lhs = 11:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), class_OrderedGroup_Opordered__ab__group__add__abs-{F}(V5), P_c_HOL_Ominus__class_Ominus-{F}(V7,V6,V5,V8), P_c_HOL_Oabs__class_Oabs-{F}(V8,V5,V9), P_c_HOL_Oabs__class_Oabs-{F}(V7,V5,V10), P_c_HOL_Oabs__class_Oabs-{F}(V6,V5,V11), P_c_HOL_Oplus__class_Oplus-{F}(V10,V11,V5,V12) | c_lessequals-{T}(V9,V12,V5)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #357: input, references = 3, size of lhs = 10:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), class_Ring__and__Field_Ofield-{F}(V5), P_c_HOL_Oinverse__class_Odivide-{F}(V7,V6,V5,V8), P_c_HOL_Oinverse__class_Oinverse-{F}(V6,V5,V9), P_c_HOL_Otimes__class_Otimes-{F}(V7,V9,V5,V10), V8 == V10 | FALSE
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #358: input, references = 3, size of lhs = 11:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), class_Ring__and__Field_Ofield-{F}(V5), class_Int_Onumber__ring-{F}(V5), P_c_HOL_Oinverse__class_Odivide-{F}(V7,V6,V5,V8), P_c_HOL_Oinverse__class_Oinverse-{F}(V6,V5,V9), P_c_HOL_Otimes__class_Otimes-{F}(V7,V9,V5,V10), V8 == V10 | FALSE
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #359: input, references = 3, size of lhs = 12:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), class_OrderedGroup_Oab__group__add-{F}(V5), P_c_HOL_Ouminus__class_Ouminus-{F}(V7,V5,V8), P_c_HOL_Ouminus__class_Ouminus-{F}(V6,V5,V9), P_c_HOL_Ominus__class_Ominus-{F}(V8,V9,V5,V10), P_c_HOL_Ominus__class_Ominus-{F}(V7,V6,V5,V11), P_c_HOL_Ouminus__class_Ouminus-{F}(V11,V5,V12), V10 == V12 | FALSE
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #360: input, references = 3, size of lhs = 14:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Ofield-{F}(V5), P_c_HOL_Oinverse__class_Odivide-{F}(V9,V7,V5,V10), P_c_Power_Opower__class_Opower-{F}(V10,V8,V5,V11), P_c_Power_Opower__class_Opower-{F}(V9,V8,V5,V12), P_c_Power_Opower__class_Opower-{F}(V7,V8,V5,V13), P_c_HOL_Oinverse__class_Odivide-{F}(V12,V13,V5,V14), V7 == V6, V11 == V14 | FALSE
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #361: input, references = 3, size of lhs = 11:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), class_OrderedGroup_Opordered__ab__group__add__abs-{F}(V5), P_c_HOL_Oabs__class_Oabs-{F}(V7,V5,V8), P_c_HOL_Oabs__class_Oabs-{F}(V6,V5,V9), P_c_HOL_Oplus__class_Oplus-{F}(V8,V9,V5,V10), P_c_HOL_Oabs__class_Oabs-{F}(V10,V5,V11), V11 == V10 | FALSE
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #362: input, references = 3, size of lhs = 12:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), class_SEQ_Obanach-{F}(V5), class_RealVector_Oreal__normed__field-{F}(V5), P_c_HOL_Ouminus__class_Ouminus-{F}(V6,V5,V7), P_c_Transcendental_Oexp-{F}(V7,V5,V8), P_c_Transcendental_Oexp-{F}(V6,V5,V9), P_c_HOL_Oinverse__class_Oinverse-{F}(V9,V5,V10), V8 == V10 | FALSE
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #363: input, references = 3, size of lhs = 16:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Odivision__ring-{F}(V5), P_c_HOL_Oinverse__class_Oinverse-{F}(V7,V5,V8), P_c_HOL_Oinverse__class_Oinverse-{F}(V9,V5,V10), P_c_HOL_Ominus__class_Ominus-{F}(V10,V8,V5,V11), P_c_HOL_Ominus__class_Ominus-{F}(V7,V9,V5,V12), P_c_HOL_Otimes__class_Otimes-{F}(V10,V12,V5,V13), P_c_HOL_Otimes__class_Otimes-{F}(V13,V8,V5,V14), V7 == V6, V11 == V14, V9 == V6 | FALSE
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #364: input, references = 3, size of lhs = 10:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_HOL_Otimes__class_Otimes-{F}(V6,V6,V5,V7), P_c_HOL_Oplus__class_Oplus-{F}(V7,V7,V5,V8), class_Ring__and__Field_Oordered__ring__strict-{F}(V5), V8 == V6 | FALSE
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #365: input, references = 3, size of lhs = 14:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Ofield-{F}(V5), P_c_HOL_Oinverse__class_Odivide-{F}(V10,V8,V5,V12), P_c_HOL_Oinverse__class_Odivide-{F}(V9,V7,V5,V12), P_c_HOL_Otimes__class_Otimes-{F}(V10,V7,V5,V13), P_c_HOL_Otimes__class_Otimes-{F}(V9,V8,V5,V14), V7 == V6, V8 == V6, V13 == V14 | FALSE
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #366: input, references = 3, size of lhs = 14:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Ofield-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V10,V7,V5,V12), P_c_HOL_Otimes__class_Otimes-{F}(V9,V8,V5,V12), P_c_HOL_Oinverse__class_Odivide-{F}(V10,V8,V5,V13), P_c_HOL_Oinverse__class_Odivide-{F}(V9,V7,V5,V14), V7 == V6, V8 == V6, V13 == V14 | FALSE
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #367: input, references = 3, size of lhs = 10:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), class_RealVector_Odist__norm-{F}(V5), P_c_RealVector_Odist__class_Odist-{F}(V7,V6,V5,V8), P_c_HOL_Ominus__class_Ominus-{F}(V7,V6,V5,V9), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V5,V10), V8 == V10 | FALSE
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #368: input, references = 3, size of lhs = 11:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Ofield-{F}(V5), class_Ring__and__Field_Odivision__by__zero-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V6,V7,V5,V8), P_c_HOL_Oinverse__class_Odivide-{F}(V8,V7,V5,V9), V9 == V6 | FALSE
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #369: input, references = 3, size of lhs = 12:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), class_OrderedGroup_Ogroup__add-{F}(V5), P_c_HOL_Oplus__class_Oplus-{F}(V7,V6,V5,V8), P_c_HOL_Ouminus__class_Ouminus-{F}(V8,V5,V9), P_c_HOL_Ouminus__class_Ouminus-{F}(V6,V5,V10), P_c_HOL_Ouminus__class_Ouminus-{F}(V7,V5,V11), P_c_HOL_Oplus__class_Oplus-{F}(V10,V11,V5,V12), V9 == V12 | FALSE
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #370: input, references = 3, size of lhs = 12:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), class_OrderedGroup_Oab__group__add-{F}(V5), P_c_HOL_Oplus__class_Oplus-{F}(V7,V6,V5,V8), P_c_HOL_Ouminus__class_Ouminus-{F}(V8,V5,V9), P_c_HOL_Ouminus__class_Ouminus-{F}(V7,V5,V10), P_c_HOL_Ouminus__class_Ouminus-{F}(V6,V5,V11), P_c_HOL_Oplus__class_Oplus-{F}(V10,V11,V5,V12), V9 == V12 | FALSE
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #371: input, references = 3, size of lhs = 9:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Oordered__ring__strict-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V8,V7,V5,V9), c_lessequals-{F}(V6,V9,V5) | c_lessequals-{T}(V7,V6,V5), c_lessequals-{T}(V6,V8,V5)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #372: input, references = 3, size of lhs = 9:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Oordered__ring__strict-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V7,V8,V5,V9), c_lessequals-{F}(V6,V9,V5) | c_lessequals-{T}(V7,V6,V5), c_lessequals-{T}(V6,V7,V5)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #373: input, references = 3, size of lhs = 10:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Opordered__cancel__semiring-{F}(V5), c_lessequals-{F}(V6,V7,V5), P_c_HOL_Otimes__class_Otimes-{F}(V8,V7,V5,V9), c_lessequals-{F}(V6,V8,V5) | c_lessequals-{T}(V6,V9,V5)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #374: input, references = 3, size of lhs = 10:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Oordered__ring__strict-{F}(V5), c_lessequals-{F}(V7,V6,V5), P_c_HOL_Otimes__class_Otimes-{F}(V8,V7,V5,V9), c_lessequals-{F}(V8,V6,V5) | c_lessequals-{T}(V6,V9,V5)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #375: input, references = 3, size of lhs = 10:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Oordered__ring__strict-{F}(V5), c_lessequals-{F}(V6,V7,V5), P_c_HOL_Otimes__class_Otimes-{F}(V8,V7,V5,V9), c_lessequals-{F}(V6,V8,V5) | c_lessequals-{T}(V6,V9,V5)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #376: input, references = 3, size of lhs = 8:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Oordered__ring__strict-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V7,V7,V5,V8) | c_lessequals-{T}(V6,V8,V5)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #377: input, references = 3, size of lhs = 10:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Opordered__ring-{F}(V5), c_lessequals-{F}(V7,V6,V5), P_c_HOL_Otimes__class_Otimes-{F}(V8,V7,V5,V9), c_lessequals-{F}(V8,V6,V5) | c_lessequals-{T}(V6,V9,V5)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #378: input, references = 3, size of lhs = 10:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Opordered__ring-{F}(V5), c_lessequals-{F}(V7,V6,V5), P_c_HOL_Otimes__class_Otimes-{F}(V8,V7,V5,V9), c_lessequals-{F}(V8,V6,V5) | c_lessequals-{T}(V6,V9,V5)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #379: input, references = 3, size of lhs = 10:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Opordered__ring-{F}(V5), c_lessequals-{F}(V6,V7,V5), P_c_HOL_Otimes__class_Otimes-{F}(V8,V7,V5,V9), c_lessequals-{F}(V6,V8,V5) | c_lessequals-{T}(V6,V9,V5)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #380: input, references = 3, size of lhs = 12:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Oordered__field-{F}(V5), class_Ring__and__Field_Odivision__by__zero-{F}(V5), c_lessequals-{F}(V7,V6,V5), P_c_HOL_Oinverse__class_Odivide-{F}(V8,V7,V5,V10), P_c_HOL_Oinverse__class_Odivide-{F}(V9,V7,V5,V11), c_lessequals-{F}(V9,V8,V5) | c_lessequals-{T}(V10,V11,V5)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #381: input, references = 3, size of lhs = 12:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Oordered__field-{F}(V5), class_Ring__and__Field_Odivision__by__zero-{F}(V5), c_lessequals-{F}(V6,V7,V5), P_c_HOL_Oinverse__class_Odivide-{F}(V9,V7,V5,V10), P_c_HOL_Oinverse__class_Odivide-{F}(V8,V7,V5,V11), c_lessequals-{F}(V9,V8,V5) | c_lessequals-{T}(V10,V11,V5)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #382: input, references = 3, size of lhs = 11:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Opordered__ring-{F}(V5), c_lessequals-{F}(V7,V6,V5), P_c_HOL_Otimes__class_Otimes-{F}(V9,V7,V5,V10), P_c_HOL_Otimes__class_Otimes-{F}(V8,V7,V5,V11), c_lessequals-{F}(V8,V9,V5) | c_lessequals-{T}(V10,V11,V5)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #383: input, references = 3, size of lhs = 11:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Opordered__ring-{F}(V5), c_lessequals-{F}(V7,V6,V5), P_c_HOL_Otimes__class_Otimes-{F}(V7,V9,V5,V10), P_c_HOL_Otimes__class_Otimes-{F}(V7,V8,V5,V11), c_lessequals-{F}(V8,V9,V5) | c_lessequals-{T}(V10,V11,V5)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #384: input, references = 3, size of lhs = 11:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Omult__mono-{F}(V5), c_lessequals-{F}(V6,V7,V5), P_c_HOL_Otimes__class_Otimes-{F}(V9,V7,V5,V10), P_c_HOL_Otimes__class_Otimes-{F}(V8,V7,V5,V11), c_lessequals-{F}(V9,V8,V5) | c_lessequals-{T}(V10,V11,V5)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #385: input, references = 3, size of lhs = 11:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Omult__mono-{F}(V5), c_lessequals-{F}(V6,V7,V5), P_c_HOL_Otimes__class_Otimes-{F}(V7,V9,V5,V10), P_c_HOL_Otimes__class_Otimes-{F}(V7,V8,V5,V11), c_lessequals-{F}(V9,V8,V5) | c_lessequals-{T}(V10,V11,V5)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #386: input, references = 3, size of lhs = 11:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Omult__mono1-{F}(V5), c_lessequals-{F}(V6,V7,V5), P_c_HOL_Otimes__class_Otimes-{F}(V7,V9,V5,V10), P_c_HOL_Otimes__class_Otimes-{F}(V7,V8,V5,V11), c_lessequals-{F}(V9,V8,V5) | c_lessequals-{T}(V10,V11,V5)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #387: input, references = 3, size of lhs = 9:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Oordered__ring__strict-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V8,V7,V5,V9), c_lessequals-{F}(V9,V6,V5) | c_lessequals-{T}(V6,V7,V5), c_lessequals-{T}(V7,V6,V5)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #388: input, references = 3, size of lhs = 9:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Oordered__ring__strict-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V8,V7,V5,V9), c_lessequals-{F}(V9,V6,V5) | c_lessequals-{T}(V7,V6,V5), c_lessequals-{T}(V8,V6,V5)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #389: input, references = 3, size of lhs = 9:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Oordered__ring__strict-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V8,V7,V5,V9), c_lessequals-{F}(V9,V6,V5) | c_lessequals-{T}(V6,V7,V5), c_lessequals-{T}(V6,V8,V5)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #390: input, references = 3, size of lhs = 9:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Oordered__ring__strict-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V7,V8,V5,V9), c_lessequals-{F}(V9,V6,V5) | c_lessequals-{T}(V7,V6,V5), c_lessequals-{T}(V6,V7,V5)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #391: input, references = 3, size of lhs = 9:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_OrderedGroup_Opordered__ab__group__add-{F}(V5), P_c_HOL_Ouminus__class_Ouminus-{F}(V7,V5,V8), c_lessequals-{F}(V6,V7,V5) | c_lessequals-{T}(V8,V6,V5)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #392: input, references = 3, size of lhs = 9:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_OrderedGroup_Opordered__ab__group__add-{F}(V5), P_c_HOL_Ouminus__class_Ouminus-{F}(V7,V5,V8), c_lessequals-{F}(V8,V6,V5) | c_lessequals-{T}(V6,V7,V5)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #393: input, references = 3, size of lhs = 10:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_OrderedGroup_Opordered__ab__group__add__abs-{F}(V5), P_c_HOL_Oabs__class_Oabs-{F}(V7,V5,V8), c_lessequals-{F}(V6,V7,V5), V8 == V7 | FALSE
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #394: input, references = 3, size of lhs = 10:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_OrderedGroup_Opordered__ab__group__add__abs-{F}(V5), P_c_HOL_Oabs__class_Oabs-{F}(V7,V5,V8), c_lessequals-{F}(V8,V6,V5), V7 == V6 | FALSE
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #395: input, references = 3, size of lhs = 8:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_OrderedGroup_Olordered__ab__group__add-{F}(V5), P_c_OrderedGroup_Olordered__ab__group__add__class_Onprt-{F}(V7,V5,V6) | c_lessequals-{T}(V6,V7,V5)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #396: input, references = 3, size of lhs = 10:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_OrderedGroup_Olordered__ab__group__add-{F}(V5), P_c_OrderedGroup_Olordered__ab__group__add__class_Onprt-{F}(V7,V5,V8), c_lessequals-{F}(V6,V7,V5), V8 == V6 | FALSE
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #397: input, references = 3, size of lhs = 11:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_OrderedGroup_Opordered__comm__monoid__add-{F}(V5), c_lessequals-{F}(V6,V7,V5), P_c_HOL_Oplus__class_Oplus-{F}(V8,V7,V5,V6), c_lessequals-{F}(V6,V8,V5), V7 == V6 | FALSE
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #398: input, references = 3, size of lhs = 11:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_OrderedGroup_Opordered__comm__monoid__add-{F}(V5), c_lessequals-{F}(V6,V7,V5), P_c_HOL_Oplus__class_Oplus-{F}(V7,V8,V5,V6), c_lessequals-{F}(V6,V8,V5), V7 == V6 | FALSE
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #399: input, references = 3, size of lhs = 11:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Oordered__field-{F}(V5), class_Ring__and__Field_Odivision__by__zero-{F}(V5), c_lessequals-{F}(V6,V7,V5), P_c_HOL_Oinverse__class_Odivide-{F}(V8,V7,V5,V9), c_lessequals-{F}(V8,V6,V5) | c_lessequals-{T}(V9,V6,V5)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #400: input, references = 3, size of lhs = 11:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Oordered__field-{F}(V5), class_Ring__and__Field_Odivision__by__zero-{F}(V5), c_lessequals-{F}(V7,V6,V5), P_c_HOL_Oinverse__class_Odivide-{F}(V8,V7,V5,V9), c_lessequals-{F}(V6,V8,V5) | c_lessequals-{T}(V9,V6,V5)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #401: input, references = 3, size of lhs = 11:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_OrderedGroup_Opordered__ab__semigroup__add__imp__le-{F}(V5), class_OrderedGroup_Ocomm__monoid__add-{F}(V5), c_lessequals-{F}(V6,V7,V5), P_c_HOL_Oplus__class_Oplus-{F}(V9,V7,V5,V10), c_lessequals-{F}(V8,V9,V5) | c_lessequals-{T}(V8,V10,V5)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #402: input, references = 3, size of lhs = 11:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_OrderedGroup_Opordered__ab__semigroup__add__imp__le-{F}(V5), class_OrderedGroup_Ocomm__monoid__add-{F}(V5), c_lessequals-{F}(V8,V7,V5), P_c_HOL_Oplus__class_Oplus-{F}(V9,V7,V5,V10), c_lessequals-{F}(V6,V9,V5) | c_lessequals-{T}(V8,V10,V5)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #403: input, references = 3, size of lhs = 10:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_HOL_Oplus__class_Oplus-{F}(V6,V6,V5,V7), class_OrderedGroup_Opordered__comm__monoid__add-{F}(V5), c_lessequals-{F}(V6,V6,V5), V7 == V6 | FALSE
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #404: input, references = 3, size of lhs = 10:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Oordered__field-{F}(V5), class_Ring__and__Field_Odivision__by__zero-{F}(V5), P_c_HOL_Oinverse__class_Odivide-{F}(V8,V7,V5,V9), c_lessequals-{F}(V6,V9,V5) | c_lessequals-{T}(V7,V6,V5), c_lessequals-{T}(V6,V7,V5)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #405: input, references = 3, size of lhs = 10:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Oordered__field-{F}(V5), class_Ring__and__Field_Odivision__by__zero-{F}(V5), P_c_HOL_Oinverse__class_Odivide-{F}(V8,V7,V5,V9), c_lessequals-{F}(V6,V9,V5) | c_lessequals-{T}(V6,V7,V5), c_lessequals-{T}(V8,V6,V5)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #406: input, references = 3, size of lhs = 10:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Oordered__field-{F}(V5), class_Ring__and__Field_Odivision__by__zero-{F}(V5), P_c_HOL_Oinverse__class_Odivide-{F}(V8,V7,V5,V9), c_lessequals-{F}(V6,V9,V5) | c_lessequals-{T}(V7,V6,V5), c_lessequals-{T}(V6,V8,V5)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #407: input, references = 3, size of lhs = 10:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Oordered__field-{F}(V5), class_Ring__and__Field_Odivision__by__zero-{F}(V5), P_c_HOL_Oinverse__class_Odivide-{F}(V7,V8,V5,V9), c_lessequals-{F}(V6,V9,V5) | c_lessequals-{T}(V7,V6,V5), c_lessequals-{T}(V6,V7,V5)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #408: input, references = 3, size of lhs = 11:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Oordered__semidom-{F}(V5), c_lessequals-{F}(V6,V7,V5), c_lessequals-{F}(V7,V8,V5), P_c_Power_Opower__class_Opower-{F}(V7,V9,V5,V10), P_c_Power_Opower__class_Opower-{F}(V8,V9,V5,V11) | c_lessequals-{T}(V10,V11,V5)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #409: input, references = 3, size of lhs = 10:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Oordered__idom-{F}(V5), P_c_Power_Opower__class_Opower-{F}(V7,V8,V5,V9), c_lessequals-{F}(V9,V6,V5), V7 == V6 | c_lessequals-{T}(V7,V6,V5)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #410: input, references = 3, size of lhs = 10:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Oordered__field-{F}(V5), class_Ring__and__Field_Odivision__by__zero-{F}(V5), P_c_HOL_Oinverse__class_Oinverse-{F}(V7,V5,V8), c_lessequals-{F}(V7,V6,V5) | c_lessequals-{T}(V8,V6,V5)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #411: input, references = 3, size of lhs = 10:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Oordered__field-{F}(V5), class_Ring__and__Field_Odivision__by__zero-{F}(V5), P_c_HOL_Oinverse__class_Oinverse-{F}(V7,V5,V8), c_lessequals-{F}(V8,V6,V5) | c_lessequals-{T}(V7,V6,V5)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #412: input, references = 3, size of lhs = 8:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Oordered__semidom-{F}(V5), P_c_Nat_Osemiring__1__class_Oof__nat-{F}(V7,V5,V8) | c_lessequals-{T}(V6,V8,V5)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #413: input, references = 3, size of lhs = 8:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Oordered__semidom-{F}(V5), P_c_Nat_Osemiring__1__class_Oof__nat-{F}(V7,V5,V8) | c_lessequals-{T}(V6,V8,V5)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #414: input, references = 3, size of lhs = 9:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_RealVector_Onorm__class_Onorm-{F}(V6,V5,V7), class_RealVector_Oreal__normed__vector-{F}(V5), V7 == V1 | FALSE
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #415: input, references = 3, size of lhs = 10:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_RealVector_Oreal__vector-{F}(V5), P_c_RealVector_OscaleR__class_OscaleR-{F}(V8,V7,V5,V6), V7 == V6, V8 == V1 | FALSE
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #416: input, references = 3, size of lhs = 9:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_RealVector_Oof__real-{F}(V5,V6,V8), P_c_HOL_Ozero__class_Ozero-{F}(V6,V8), class_RealVector_Oreal__algebra__1-{F}(V6), V5 == V1 | FALSE
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #417: input, references = 3, size of lhs = 9:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_RealVector_Oof__real-{F}(V1,V5,V6), P_c_HOL_Ozero__class_Ozero-{F}(V5,V7), class_RealVector_Oreal__algebra__1-{F}(V5), V6 == V7 | FALSE
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #418: input, references = 3, size of lhs = 10:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_RealVector_Oof__real-{F}(V1,V5,V6), P_c_HOL_Ozero__class_Ozero-{F}(V5,V7), class_RealVector_Oreal__normed__vector-{F}(V5), class_RealVector_Oreal__algebra__1-{F}(V5), V6 == V7 | FALSE
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #419: input, references = 3, size of lhs = 9:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_RealVector_Oreal__normed__vector-{F}(V5), P_c_RealVector_Onorm__class_Onorm-{F}(V7,V5,V1), V7 == V6 | FALSE
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #420: input, references = 3, size of lhs = 9:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_RealVector_Oreal__normed__vector-{F}(V5), P_c_RealVector_OscaleR__class_OscaleR-{F}(V1,V7,V5,V8), V8 == V6 | FALSE
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #421: input, references = 3, size of lhs = 9:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_RealVector_Oreal__vector-{F}(V5), P_c_RealVector_OscaleR__class_OscaleR-{F}(V1,V7,V5,V8), V8 == V6 | FALSE
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #422: input, references = 3, size of lhs = 7:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), class_RealVector_Oreal__normed__vector-{F}(V5), P_c_RealVector_Osko__RealVector__XscaleR__left__Xnonneg__bounded__1__1-{F}(V6,V5,V7) | c_lessequals-{T}(V1,V7,V0)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #423: input, references = 5, size of lhs = 5:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4) | c_lessequals-{T}(V1,V3,V0)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #424: input, references = 3, size of lhs = 6:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5) | c_lessequals-{T}(V1,V5,V0)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #425: input, references = 3, size of lhs = 9:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), c_lessequals-{F}(V6,V1,V0), c_lessequals-{F}(V1,V6,V0), P_c_HOL_Oinverse__class_Odivide-{F}(V7,V6,V0,V8) | c_lessequals-{T}(V1,V8,V0)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #426: input, references = 3, size of lhs = 9:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), c_lessequals-{F}(V1,V6,V0), P_c_HOL_Oinverse__class_Odivide-{F}(V7,V6,V0,V8), c_lessequals-{F}(V1,V7,V0) | c_lessequals-{T}(V1,V8,V0)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #427: input, references = 3, size of lhs = 9:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), c_lessequals-{F}(V6,V1,V0), P_c_HOL_Oinverse__class_Odivide-{F}(V7,V6,V0,V8), c_lessequals-{F}(V7,V1,V0) | c_lessequals-{T}(V1,V8,V0)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #428: input, references = 3, size of lhs = 9:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), c_lessequals-{F}(V1,V6,V0), c_lessequals-{F}(V6,V1,V0), P_c_HOL_Oinverse__class_Odivide-{F}(V6,V7,V0,V8) | c_lessequals-{T}(V1,V8,V0)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #429: input, references = 3, size of lhs = 8:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_HOL_Ominus__class_Ominus-{F}(V6,V7,V0,V8), c_lessequals-{F}(V6,V7,V0) | c_lessequals-{T}(V8,V1,V0)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #430: input, references = 3, size of lhs = 8:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_HOL_Ominus__class_Ominus-{F}(V6,V7,V0,V8), c_lessequals-{F}(V8,V1,V0) | c_lessequals-{T}(V6,V7,V0)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #431: input, references = 5, size of lhs = 7:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6) | c_lessequals-{T}(V1,V6,V0)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #432: input, references = 3, size of lhs = 10:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_NthRoot_Osqrt-{F}(V7,V1), c_lessequals-{F}(V1,V7,V0), V7 == V1 | FALSE
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #433: input, references = 3, size of lhs = 9:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), class_RealVector_Oreal__normed__algebra-{F}(V7), P_c_RealVector_Osko__RealVector__Xmult__left__Xnonneg__bounded__1__1-{F}(V8,V7,V9) | c_lessequals-{T}(V1,V9,V0)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #434: input, references = 3, size of lhs = 9:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), class_RealVector_Oreal__normed__vector-{F}(V7), P_c_RealVector_Onorm__class_Onorm-{F}(V8,V7,V9) | c_lessequals-{T}(V1,V9,V0)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #435: input, references = 3, size of lhs = 9:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), class_RealVector_Oreal__normed__field-{F}(V7), P_c_RealVector_Osko__RealVector__Xdivide__Xnonneg__bounded__1__1-{F}(V8,V7,V9) | c_lessequals-{T}(V1,V9,V0)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #436: input, references = 3, size of lhs = 9:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), class_RealVector_Ometric__space-{F}(V7), P_c_RealVector_Odist__class_Odist-{F}(V9,V8,V7,V10) | c_lessequals-{T}(V1,V10,V0)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #437: input, references = 3, size of lhs = 9:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_NthRoot_Osqrt-{F}(V7,V8), c_lessequals-{F}(V1,V7,V0) | c_lessequals-{T}(V1,V8,V0)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #438: input, references = 3, size of lhs = 9:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_NthRoot_Osqrt-{F}(V7,V8), c_lessequals-{F}(V1,V8,V0) | c_lessequals-{T}(V1,V7,V0)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #439: input, references = 3, size of lhs = 9:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_NthRoot_Osqrt-{F}(V7,V8), c_lessequals-{F}(V1,V7,V0) | c_lessequals-{T}(V1,V8,V0)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #440: input, references = 3, size of lhs = 9:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), class_RealVector_Ometric__space-{F}(V7), P_c_RealVector_Odist__class_Odist-{F}(V8,V8,V7,V9) | c_lessequals-{T}(V9,V1,V0)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #441: input, references = 4, size of lhs = 9:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Transcendental_Osko__Transcendental__Xtan__total__pos__1__1-{F}(V7,V8), c_lessequals-{F}(V1,V7,V0) | c_lessequals-{T}(V1,V8,V0)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #442: input, references = 3, size of lhs = 9:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), class_RealVector_Oreal__normed__algebra-{F}(V7), P_c_RealVector_Osko__RealVector__Xmult__right__Xnonneg__bounded__1__1-{F}(V8,V7,V9) | c_lessequals-{T}(V1,V9,V0)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #443: input, references = 3, size of lhs = 9:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), class_RealVector_Oreal__normed__algebra-{F}(V7), P_c_RealVector_Osko__RealVector__Xmult__Xnonneg__bounded__1__1-{F}(V8,V7,V9) | c_lessequals-{T}(V1,V9,V0)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #444: input, references = 3, size of lhs = 8:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7) | c_lessequals-{T}(V1,V7,V0)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #445: input, references = 3, size of lhs = 9:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_Transcendental_Oexp-{F}(V8,V0,V9) | c_lessequals-{T}(V1,V9,V0)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #446: input, references = 3, size of lhs = 11:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), class_RealVector_Oreal__normed__vector-{F}(V8), class_RealVector_Oreal__algebra__1-{F}(V8), P_c_RealVector_Osko__RealVector__Xof__real__Xnonneg__bounded__1__1-{F}(V9,V8,V10) | c_lessequals-{T}(V1,V10,V0)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #447: input, references = 3, size of lhs = 10:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_Transcendental_Oexp-{F}(V8,V0,V9), c_lessequals-{F}(V9,V1,V0) | FALSE
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #448: input, references = 3, size of lhs = 10:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_HOL_Oinverse__class_Odivide-{F}(V9,V8,V0,V10), c_lessequals-{F}(V1,V10,V0) | c_lessequals-{T}(V8,V1,V0), c_lessequals-{T}(V1,V9,V0)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #449: input, references = 3, size of lhs = 10:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_HOL_Oinverse__class_Odivide-{F}(V9,V8,V0,V10), c_lessequals-{F}(V1,V10,V0) | c_lessequals-{T}(V1,V8,V0), c_lessequals-{T}(V9,V1,V0)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #450: input, references = 3, size of lhs = 9:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_RealDef_Oreal-{F}(V8,V2,V9) | c_lessequals-{T}(V1,V9,V0)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #451: input, references = 3, size of lhs = 9:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V8) | c_lessequals-{T}(V1,V8,V0)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #452: input, references = 3, size of lhs = 11:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V8), P_c_NthRoot_Osqrt-{F}(V9,V10), c_lessequals-{F}(V10,V1,V0) | c_lessequals-{T}(V9,V1,V0)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #453: input, references = 3, size of lhs = 11:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V8), P_c_NthRoot_Osqrt-{F}(V9,V10), c_lessequals-{F}(V9,V1,V0) | c_lessequals-{T}(V10,V1,V0)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #454: input, references = 3, size of lhs = 11:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V8), class_RealVector_Oreal__normed__vector-{F}(V9), P_c_RealVector_Osko__RealVector__XscaleR__right__Xnonneg__bounded__1__1-{F}(V10,V11,V9,V12) | c_lessequals-{T}(V1,V12,V0)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #455: input, references = 3, size of lhs = 13:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V8), P_c_RealVector_Odist__class_Odist-{F}(V9,V10,V11,V12), class_RealVector_Ometric__space-{F}(V11), c_lessequals-{F}(V12,V1,V0), V9 == V10 | FALSE
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #456: input, references = 3, size of lhs = 11:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V8), class_RealVector_Oreal__normed__vector-{F}(V9), P_c_RealVector_Osko__RealVector__XscaleR__Xnonneg__bounded__1__1-{F}(V10,V9,V11) | c_lessequals-{T}(V1,V11,V0)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #457: input, references = 3, size of lhs = 12:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V8), P_c_HOL_Ozero__class_Ozero-{F}(V9,V10), P_c_RealVector_Onorm__class_Onorm-{F}(V10,V9,V11), class_RealVector_Oreal__normed__vector-{F}(V9) | c_lessequals-{T}(V11,V1,V0)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #458: input, references = 3, size of lhs = 14:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V8), P_c_HOL_Ozero__class_Ozero-{F}(V9,V10), class_RealVector_Oreal__normed__vector-{F}(V9), P_c_RealVector_Onorm__class_Onorm-{F}(V11,V9,V12), c_lessequals-{F}(V12,V1,V0), V11 == V10 | FALSE
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #459: input, references = 3, size of lhs = 11:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V8), #-{F} V9, #-{F} V10 | c_lessequals-{T}(V10,V9,V0), c_lessequals-{T}(V9,V10,V0)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #460: input, references = 3, size of lhs = 12:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V8), class_Orderings_Olinorder-{F}(V9), #-{F} V10, #-{F} V11 | c_lessequals-{T}(V10,V11,V9), c_lessequals-{T}(V11,V10,V9)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #461: input, references = 3, size of lhs = 12:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V8), class_Orderings_Oorder-{F}(V9), c_lessequals-{F}(V10,V11,V9), c_lessequals-{F}(V11,V12,V9) | c_lessequals-{T}(V10,V12,V9)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #462: input, references = 3, size of lhs = 12:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V8), class_Orderings_Opreorder-{F}(V9), c_lessequals-{F}(V11,V10,V9), c_lessequals-{F}(V12,V11,V9) | c_lessequals-{T}(V12,V10,V9)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #463: input, references = 3, size of lhs = 10:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V8), #-{F} V9 | c_lessequals-{T}(V9,V9,V0)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #464: input, references = 6, size of lhs = 11:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V8), c_lessequals-{F}(V10,V9,V0), c_lessequals-{F}(V11,V10,V0) | c_lessequals-{T}(V11,V9,V0)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #465: input, references = 3, size of lhs = 11:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V8), class_Orderings_Oorder-{F}(V9), #-{F} V10 | c_lessequals-{T}(V10,V10,V9)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #466: input, references = 3, size of lhs = 11:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V8), class_Orderings_Opreorder-{F}(V9), #-{F} V10 | c_lessequals-{T}(V10,V10,V9)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #467: input, references = 3, size of lhs = 13:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V8), class_Orderings_Oorder-{F}(V11), c_lessequals-{F}(V9,V10,V11), c_lessequals-{F}(V10,V9,V11), V9 == V10 | FALSE
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #468: input, references = 3, size of lhs = 13:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V8), class_Orderings_Oorder-{F}(V11), c_lessequals-{F}(V10,V9,V11), c_lessequals-{F}(V9,V10,V11), V9 == V10 | FALSE
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #469: input, references = 3, size of lhs = 13:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V8), class_Orderings_Oorder-{F}(V11), c_lessequals-{F}(V10,V9,V11), c_lessequals-{F}(V9,V10,V11), V9 == V10 | FALSE
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #470: input, references = 3, size of lhs = 12:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V8), c_lessequals-{F}(V10,V9,V0), c_lessequals-{F}(V9,V10,V0), V9 == V10 | FALSE
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #471: input, references = 4, size of lhs = 12:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V8), P_v_z____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V11) | c_lessequals-{T}(V1,V11,V0)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #472: input, references = 6, size of lhs = 13:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V8), P_v_z____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V11), P_v_r-{F}(V12) | c_lessequals-{T}(V11,V12,V0)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #473: input, references = 8, size of lhs = 14:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V8), P_v_z____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V11), P_v_r-{F}(V12), c_lessequals-{F}(V1,V12,V0) | FALSE
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #474: input, references = 3, size of lhs = 13:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V8), P_v_z____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V11), P_v_r-{F}(V12) | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le-{T}(V2)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #475: input, references = 3, size of lhs = 13:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V8), P_v_z____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V11), P_v_r-{F}(V12) | class_Ring__and__Field_Opordered__cancel__semiring-{T}(V2)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #476: input, references = 3, size of lhs = 13:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V8), P_v_z____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V11), P_v_r-{F}(V12) | class_OrderedGroup_Opordered__ab__semigroup__add-{T}(V2)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #477: input, references = 3, size of lhs = 13:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V8), P_v_z____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V11), P_v_r-{F}(V12) | class_OrderedGroup_Opordered__comm__monoid__add-{T}(V2)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #478: input, references = 3, size of lhs = 13:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V8), P_v_z____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V11), P_v_r-{F}(V12) | class_OrderedGroup_Ocancel__ab__semigroup__add-{T}(V2)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #479: input, references = 3, size of lhs = 13:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V8), P_v_z____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V11), P_v_r-{F}(V12) | class_OrderedGroup_Ocancel__semigroup__add-{T}(V2)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #480: input, references = 3, size of lhs = 13:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V8), P_v_z____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V11), P_v_r-{F}(V12) | class_Ring__and__Field_Opordered__semiring-{T}(V2)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #481: input, references = 3, size of lhs = 13:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V8), P_v_z____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V11), P_v_r-{F}(V12) | class_Ring__and__Field_Ono__zero__divisors-{T}(V2)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #482: input, references = 3, size of lhs = 13:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V8), P_v_z____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V11), P_v_r-{F}(V12) | class_Ring__and__Field_Oordered__semidom-{T}(V2)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #483: input, references = 3, size of lhs = 13:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V8), P_v_z____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V11), P_v_r-{F}(V12) | class_Ring__and__Field_Ocomm__semiring__1-{T}(V2)
% 3.15/3.30 (used 0 times, uses = {})
% 3.15/3.30
% 3.15/3.30 #484: input, references = 3, size of lhs = 13:
% 3.15/3.30 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V8), P_v_z____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V11), P_v_r-{F}(V12) | class_OrderedGroup_Oab__semigroup__mult-{T}(V2)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #485: input, references = 3, size of lhs = 13:
% 3.15/3.31 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V8), P_v_z____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V11), P_v_r-{F}(V12) | class_OrderedGroup_Ocomm__monoid__mult-{T}(V2)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #486: input, references = 3, size of lhs = 13:
% 3.15/3.31 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V8), P_v_z____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V11), P_v_r-{F}(V12) | class_OrderedGroup_Oab__semigroup__add-{T}(V2)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #487: input, references = 3, size of lhs = 13:
% 3.15/3.31 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V8), P_v_z____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V11), P_v_r-{F}(V12) | class_Ring__and__Field_Ocomm__semiring-{T}(V2)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #488: input, references = 3, size of lhs = 13:
% 3.15/3.31 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V8), P_v_z____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V11), P_v_r-{F}(V12) | class_OrderedGroup_Ocomm__monoid__add-{T}(V2)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #489: input, references = 3, size of lhs = 13:
% 3.15/3.31 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V8), P_v_z____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V11), P_v_r-{F}(V12) | class_Ring__and__Field_Ozero__neq__one-{T}(V2)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #490: input, references = 3, size of lhs = 13:
% 3.15/3.31 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V8), P_v_z____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V11), P_v_r-{F}(V12) | class_Ring__and__Field_Omult__mono1-{T}(V2)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #491: input, references = 3, size of lhs = 13:
% 3.15/3.31 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V8), P_v_z____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V11), P_v_r-{F}(V12) | class_Ring__and__Field_Omult__zero-{T}(V2)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #492: input, references = 3, size of lhs = 13:
% 3.15/3.31 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V8), P_v_z____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V11), P_v_r-{F}(V12) | class_Ring__and__Field_Omult__mono-{T}(V2)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #493: input, references = 3, size of lhs = 13:
% 3.15/3.31 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V8), P_v_z____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V11), P_v_r-{F}(V12) | class_OrderedGroup_Omonoid__mult-{T}(V2)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #494: input, references = 3, size of lhs = 13:
% 3.15/3.31 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V8), P_v_z____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V11), P_v_r-{F}(V12) | class_Ring__and__Field_Osemiring-{T}(V2)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #495: input, references = 3, size of lhs = 13:
% 3.15/3.31 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V8), P_v_z____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V11), P_v_r-{F}(V12) | class_OrderedGroup_Omonoid__add-{T}(V2)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #496: input, references = 3, size of lhs = 13:
% 3.15/3.31 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V8), P_v_z____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V11), P_v_r-{F}(V12) | class_Nat_Osemiring__char__0-{T}(V2)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #497: input, references = 3, size of lhs = 13:
% 3.15/3.31 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V8), P_v_z____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V11), P_v_r-{F}(V12) | class_Orderings_Opreorder-{T}(V2)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #498: input, references = 3, size of lhs = 13:
% 3.15/3.31 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V8), P_v_z____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V11), P_v_r-{F}(V12) | class_Orderings_Olinorder-{T}(V2)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #499: input, references = 3, size of lhs = 13:
% 3.15/3.31 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V8), P_v_z____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V11), P_v_r-{F}(V12) | class_Orderings_Oorder-{T}(V2)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #500: input, references = 3, size of lhs = 13:
% 3.15/3.31 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V8), P_v_z____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V11), P_v_r-{F}(V12) | class_Power_Opower-{T}(V2)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #501: input, references = 3, size of lhs = 13:
% 3.15/3.31 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V8), P_v_z____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V11), P_v_r-{F}(V12) | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le-{T}(V0)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #502: input, references = 3, size of lhs = 13:
% 3.15/3.31 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V8), P_v_z____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V11), P_v_r-{F}(V12) | class_Ring__and__Field_Opordered__cancel__semiring-{T}(V0)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #503: input, references = 3, size of lhs = 13:
% 3.15/3.31 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V8), P_v_z____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V11), P_v_r-{F}(V12) | class_Ring__and__Field_Oring__1__no__zero__divisors-{T}(V0)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #504: input, references = 3, size of lhs = 13:
% 3.15/3.31 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V8), P_v_z____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V11), P_v_r-{F}(V12) | class_OrderedGroup_Opordered__ab__semigroup__add-{T}(V0)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #505: input, references = 3, size of lhs = 13:
% 3.15/3.31 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V8), P_v_z____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V11), P_v_r-{F}(V12) | class_OrderedGroup_Opordered__ab__group__add__abs-{T}(V0)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #506: input, references = 3, size of lhs = 13:
% 3.15/3.31 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V8), P_v_z____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V11), P_v_r-{F}(V12) | class_OrderedGroup_Olordered__ab__group__add__abs-{T}(V0)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #507: input, references = 3, size of lhs = 13:
% 3.15/3.31 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V8), P_v_z____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V11), P_v_r-{F}(V12) | class_OrderedGroup_Opordered__comm__monoid__add-{T}(V0)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #508: input, references = 3, size of lhs = 13:
% 3.15/3.31 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V8), P_v_z____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V11), P_v_r-{F}(V12) | class_Ring__and__Field_Oring__no__zero__divisors-{T}(V0)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #509: input, references = 3, size of lhs = 13:
% 3.15/3.31 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V8), P_v_z____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V11), P_v_r-{F}(V12) | class_OrderedGroup_Ocancel__ab__semigroup__add-{T}(V0)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #510: input, references = 3, size of lhs = 13:
% 3.15/3.31 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V8), P_v_z____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V11), P_v_r-{F}(V12) | class_Ring__and__Field_Oordered__ring__strict-{T}(V0)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #511: input, references = 3, size of lhs = 13:
% 3.15/3.31 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V8), P_v_z____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V11), P_v_r-{F}(V12) | class_OrderedGroup_Opordered__ab__group__add-{T}(V0)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #512: input, references = 3, size of lhs = 13:
% 3.15/3.31 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V8), P_v_z____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V11), P_v_r-{F}(V12) | class_OrderedGroup_Olordered__ab__group__add-{T}(V0)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #513: input, references = 3, size of lhs = 13:
% 3.15/3.31 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V8), P_v_z____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V11), P_v_r-{F}(V12) | class_OrderedGroup_Oordered__ab__group__add-{T}(V0)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #514: input, references = 3, size of lhs = 13:
% 3.15/3.31 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V8), P_v_z____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V11), P_v_r-{F}(V12) | class_OrderedGroup_Ocancel__semigroup__add-{T}(V0)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #515: input, references = 3, size of lhs = 13:
% 3.15/3.31 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V8), P_v_z____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V11), P_v_r-{F}(V12) | class_Ring__and__Field_Opordered__semiring-{T}(V0)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #516: input, references = 3, size of lhs = 13:
% 3.15/3.31 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V8), P_v_z____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V11), P_v_r-{F}(V12) | class_Ring__and__Field_Opordered__ring__abs-{T}(V0)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #517: input, references = 3, size of lhs = 13:
% 3.15/3.31 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V8), P_v_z____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V11), P_v_r-{F}(V12) | class_Ring__and__Field_Ono__zero__divisors-{T}(V0)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #518: input, references = 3, size of lhs = 13:
% 3.15/3.31 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V8), P_v_z____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V11), P_v_r-{F}(V12) | class_Ring__and__Field_Odivision__by__zero-{T}(V0)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #519: input, references = 3, size of lhs = 13:
% 3.15/3.31 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V8), P_v_z____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V11), P_v_r-{F}(V12) | class_Ring__and__Field_Oordered__semidom-{T}(V0)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #520: input, references = 3, size of lhs = 13:
% 3.15/3.31 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V8), P_v_z____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V11), P_v_r-{F}(V12) | class_Ring__and__Field_Ocomm__semiring__1-{T}(V0)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #521: input, references = 3, size of lhs = 13:
% 3.15/3.31 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V8), P_v_z____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V11), P_v_r-{F}(V12) | class_RealVector_Oreal__normed__algebra-{T}(V0)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #522: input, references = 3, size of lhs = 13:
% 3.15/3.31 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V8), P_v_z____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V11), P_v_r-{F}(V12) | class_OrderedGroup_Oab__semigroup__mult-{T}(V0)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #523: input, references = 3, size of lhs = 13:
% 3.15/3.31 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V8), P_v_z____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V11), P_v_r-{F}(V12) | class_RealVector_Oreal__normed__vector-{T}(V0)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #524: input, references = 3, size of lhs = 13:
% 3.15/3.31 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V8), P_v_z____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V11), P_v_r-{F}(V12) | class_OrderedGroup_Ocomm__monoid__mult-{T}(V0)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #525: input, references = 3, size of lhs = 13:
% 3.15/3.31 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V8), P_v_z____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V11), P_v_r-{F}(V12) | class_OrderedGroup_Oab__semigroup__add-{T}(V0)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #526: input, references = 3, size of lhs = 13:
% 3.15/3.31 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V8), P_v_z____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V11), P_v_r-{F}(V12) | class_Ring__and__Field_Opordered__ring-{T}(V0)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #527: input, references = 3, size of lhs = 13:
% 3.15/3.31 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V8), P_v_z____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V11), P_v_r-{F}(V12) | class_Ring__and__Field_Oordered__field-{T}(V0)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #528: input, references = 3, size of lhs = 13:
% 3.15/3.31 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V8), P_v_z____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V11), P_v_r-{F}(V12) | class_Ring__and__Field_Olordered__ring-{T}(V0)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #529: input, references = 3, size of lhs = 13:
% 3.15/3.31 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V8), P_v_z____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V11), P_v_r-{F}(V12) | class_Ring__and__Field_Odivision__ring-{T}(V0)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #530: input, references = 3, size of lhs = 13:
% 3.15/3.31 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V8), P_v_z____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V11), P_v_r-{F}(V12) | class_Ring__and__Field_Ocomm__semiring-{T}(V0)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #531: input, references = 3, size of lhs = 13:
% 3.15/3.31 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V8), P_v_z____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V11), P_v_r-{F}(V12) | class_RealVector_Oreal__normed__field-{T}(V0)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #532: input, references = 3, size of lhs = 13:
% 3.15/3.31 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V8), P_v_z____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V11), P_v_r-{F}(V12) | class_OrderedGroup_Ocomm__monoid__add-{T}(V0)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #533: input, references = 3, size of lhs = 13:
% 3.15/3.31 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V8), P_v_z____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V11), P_v_r-{F}(V12) | class_Ring__and__Field_Ozero__neq__one-{T}(V0)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #534: input, references = 3, size of lhs = 13:
% 3.15/3.31 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V8), P_v_z____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V11), P_v_r-{F}(V12) | class_Ring__and__Field_Oordered__idom-{T}(V0)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #535: input, references = 3, size of lhs = 13:
% 3.15/3.31 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V8), P_v_z____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V11), P_v_r-{F}(V12) | class_Ring__and__Field_Omult__mono1-{T}(V0)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #536: input, references = 3, size of lhs = 13:
% 3.15/3.31 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V8), P_v_z____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V11), P_v_r-{F}(V12) | class_RealVector_Oreal__algebra__1-{T}(V0)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #537: input, references = 3, size of lhs = 13:
% 3.15/3.31 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V8), P_v_z____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V11), P_v_r-{F}(V12) | class_OrderedGroup_Oab__group__add-{T}(V0)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #538: input, references = 3, size of lhs = 13:
% 3.15/3.31 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V8), P_v_z____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V11), P_v_r-{F}(V12) | class_Ring__and__Field_Omult__zero-{T}(V0)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #539: input, references = 3, size of lhs = 13:
% 3.15/3.31 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V8), P_v_z____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V11), P_v_r-{F}(V12) | class_Ring__and__Field_Omult__mono-{T}(V0)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #540: input, references = 3, size of lhs = 13:
% 3.15/3.31 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V8), P_v_z____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V11), P_v_r-{F}(V12) | class_OrderedGroup_Omonoid__mult-{T}(V0)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #541: input, references = 3, size of lhs = 13:
% 3.15/3.31 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V8), P_v_z____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V11), P_v_r-{F}(V12) | class_Ring__and__Field_Osemiring-{T}(V0)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #542: input, references = 3, size of lhs = 13:
% 3.15/3.31 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V8), P_v_z____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V11), P_v_r-{F}(V12) | class_RealVector_Oreal__algebra-{T}(V0)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #543: input, references = 3, size of lhs = 13:
% 3.15/3.31 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V8), P_v_z____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V11), P_v_r-{F}(V12) | class_RealVector_Ometric__space-{T}(V0)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #544: input, references = 3, size of lhs = 13:
% 3.15/3.31 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V8), P_v_z____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V11), P_v_r-{F}(V12) | class_OrderedGroup_Omonoid__add-{T}(V0)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #545: input, references = 3, size of lhs = 13:
% 3.15/3.31 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V8), P_v_z____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V11), P_v_r-{F}(V12) | class_RealVector_Oreal__vector-{T}(V0)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #546: input, references = 3, size of lhs = 13:
% 3.15/3.31 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V8), P_v_z____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V11), P_v_r-{F}(V12) | class_OrderedGroup_Ogroup__add-{T}(V0)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #547: input, references = 3, size of lhs = 13:
% 3.15/3.31 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V8), P_v_z____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V11), P_v_r-{F}(V12) | class_RealVector_Oreal__field-{T}(V0)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #548: input, references = 3, size of lhs = 13:
% 3.15/3.31 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V8), P_v_z____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V11), P_v_r-{F}(V12) | class_Ring__and__Field_Ofield-{T}(V0)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #549: input, references = 3, size of lhs = 13:
% 3.15/3.31 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V8), P_v_z____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V11), P_v_r-{F}(V12) | class_RealVector_Odist__norm-{T}(V0)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #550: input, references = 3, size of lhs = 13:
% 3.15/3.31 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V8), P_v_z____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V11), P_v_r-{F}(V12) | class_Ring__and__Field_Oring-{T}(V0)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #551: input, references = 3, size of lhs = 13:
% 3.15/3.31 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V8), P_v_z____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V11), P_v_r-{F}(V12) | class_Ring__and__Field_Oidom-{T}(V0)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #552: input, references = 3, size of lhs = 13:
% 3.15/3.31 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V8), P_v_z____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V11), P_v_r-{F}(V12) | class_Nat_Osemiring__char__0-{T}(V0)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #553: input, references = 3, size of lhs = 13:
% 3.15/3.31 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V8), P_v_z____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V11), P_v_r-{F}(V12) | class_Orderings_Opreorder-{T}(V0)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #554: input, references = 3, size of lhs = 13:
% 3.15/3.31 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V8), P_v_z____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V11), P_v_r-{F}(V12) | class_Orderings_Olinorder-{T}(V0)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #555: input, references = 3, size of lhs = 13:
% 3.15/3.31 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V8), P_v_z____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V11), P_v_r-{F}(V12) | class_Orderings_Oorder-{T}(V0)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #556: input, references = 3, size of lhs = 13:
% 3.15/3.31 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V8), P_v_z____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V11), P_v_r-{F}(V12) | class_Int_Onumber__ring-{T}(V0)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #557: input, references = 3, size of lhs = 13:
% 3.15/3.31 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V8), P_v_z____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V11), P_v_r-{F}(V12) | class_Power_Opower-{T}(V0)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #558: input, references = 3, size of lhs = 13:
% 3.15/3.31 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V8), P_v_z____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V11), P_v_r-{F}(V12) | class_SEQ_Obanach-{T}(V0)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #559: input, references = 3, size of lhs = 13:
% 3.15/3.31 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V8), P_v_z____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V11), P_v_r-{F}(V12) | class_Ring__and__Field_Oring__1__no__zero__divisors-{T}(V10)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #560: input, references = 3, size of lhs = 13:
% 3.15/3.31 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V8), P_v_z____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V11), P_v_r-{F}(V12) | class_Ring__and__Field_Oring__no__zero__divisors-{T}(V10)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #561: input, references = 3, size of lhs = 13:
% 3.15/3.31 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V8), P_v_z____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V11), P_v_r-{F}(V12) | class_OrderedGroup_Ocancel__ab__semigroup__add-{T}(V10)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #562: input, references = 3, size of lhs = 13:
% 3.15/3.31 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V8), P_v_z____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V11), P_v_r-{F}(V12) | class_OrderedGroup_Ocancel__semigroup__add-{T}(V10)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #563: input, references = 3, size of lhs = 13:
% 3.15/3.31 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V8), P_v_z____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V11), P_v_r-{F}(V12) | class_Ring__and__Field_Ono__zero__divisors-{T}(V10)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #564: input, references = 3, size of lhs = 13:
% 3.15/3.31 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V8), P_v_z____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V11), P_v_r-{F}(V12) | class_Ring__and__Field_Odivision__by__zero-{T}(V10)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #565: input, references = 3, size of lhs = 13:
% 3.15/3.31 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V8), P_v_z____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V11), P_v_r-{F}(V12) | class_Ring__and__Field_Ocomm__semiring__1-{T}(V10)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #566: input, references = 3, size of lhs = 13:
% 3.15/3.31 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V8), P_v_z____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V11), P_v_r-{F}(V12) | class_RealVector_Oreal__normed__algebra-{T}(V10)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #567: input, references = 3, size of lhs = 13:
% 3.15/3.31 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V8), P_v_z____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V11), P_v_r-{F}(V12) | class_OrderedGroup_Oab__semigroup__mult-{T}(V10)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #568: input, references = 3, size of lhs = 13:
% 3.15/3.31 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V8), P_v_z____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V11), P_v_r-{F}(V12) | class_RealVector_Oreal__normed__vector-{T}(V10)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #569: input, references = 3, size of lhs = 13:
% 3.15/3.31 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V8), P_v_z____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V11), P_v_r-{F}(V12) | class_OrderedGroup_Ocomm__monoid__mult-{T}(V10)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #570: input, references = 3, size of lhs = 13:
% 3.15/3.31 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V8), P_v_z____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V11), P_v_r-{F}(V12) | class_OrderedGroup_Oab__semigroup__add-{T}(V10)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #571: input, references = 3, size of lhs = 13:
% 3.15/3.31 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V8), P_v_z____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V11), P_v_r-{F}(V12) | class_Ring__and__Field_Odivision__ring-{T}(V10)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #572: input, references = 3, size of lhs = 13:
% 3.15/3.31 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V8), P_v_z____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V11), P_v_r-{F}(V12) | class_Ring__and__Field_Ocomm__semiring-{T}(V10)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #573: input, references = 3, size of lhs = 13:
% 3.15/3.31 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V8), P_v_z____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V11), P_v_r-{F}(V12) | class_RealVector_Oreal__normed__field-{T}(V10)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #574: input, references = 3, size of lhs = 13:
% 3.15/3.31 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V8), P_v_z____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V11), P_v_r-{F}(V12) | class_OrderedGroup_Ocomm__monoid__add-{T}(V10)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #575: input, references = 3, size of lhs = 13:
% 3.15/3.31 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V8), P_v_z____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V11), P_v_r-{F}(V12) | class_Ring__and__Field_Ozero__neq__one-{T}(V10)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #576: input, references = 3, size of lhs = 13:
% 3.15/3.31 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V8), P_v_z____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V11), P_v_r-{F}(V12) | class_RealVector_Oreal__algebra__1-{T}(V10)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #577: input, references = 3, size of lhs = 13:
% 3.15/3.31 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V8), P_v_z____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V11), P_v_r-{F}(V12) | class_OrderedGroup_Oab__group__add-{T}(V10)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #578: input, references = 3, size of lhs = 13:
% 3.15/3.31 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V8), P_v_z____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V11), P_v_r-{F}(V12) | class_Ring__and__Field_Omult__zero-{T}(V10)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #579: input, references = 3, size of lhs = 13:
% 3.15/3.31 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V8), P_v_z____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V11), P_v_r-{F}(V12) | class_OrderedGroup_Omonoid__mult-{T}(V10)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #580: input, references = 3, size of lhs = 13:
% 3.15/3.31 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V8), P_v_z____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V11), P_v_r-{F}(V12) | class_Ring__and__Field_Osemiring-{T}(V10)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #581: input, references = 3, size of lhs = 13:
% 3.15/3.31 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V8), P_v_z____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V11), P_v_r-{F}(V12) | class_RealVector_Oreal__algebra-{T}(V10)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #582: input, references = 3, size of lhs = 13:
% 3.15/3.31 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V8), P_v_z____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V11), P_v_r-{F}(V12) | class_RealVector_Ometric__space-{T}(V10)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #583: input, references = 3, size of lhs = 13:
% 3.15/3.31 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V8), P_v_z____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V11), P_v_r-{F}(V12) | class_OrderedGroup_Omonoid__add-{T}(V10)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #584: input, references = 3, size of lhs = 13:
% 3.15/3.31 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V8), P_v_z____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V11), P_v_r-{F}(V12) | class_RealVector_Oreal__vector-{T}(V10)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #585: input, references = 3, size of lhs = 13:
% 3.15/3.31 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V8), P_v_z____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V11), P_v_r-{F}(V12) | class_OrderedGroup_Ogroup__add-{T}(V10)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #586: input, references = 3, size of lhs = 13:
% 3.15/3.31 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V8), P_v_z____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V11), P_v_r-{F}(V12) | class_RealVector_Oreal__field-{T}(V10)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #587: input, references = 3, size of lhs = 13:
% 3.15/3.31 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V8), P_v_z____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V11), P_v_r-{F}(V12) | class_Ring__and__Field_Ofield-{T}(V10)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #588: input, references = 3, size of lhs = 13:
% 3.15/3.31 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V8), P_v_z____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V11), P_v_r-{F}(V12) | class_RealVector_Odist__norm-{T}(V10)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #589: input, references = 3, size of lhs = 13:
% 3.15/3.31 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V8), P_v_z____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V11), P_v_r-{F}(V12) | class_Ring__and__Field_Oring-{T}(V10)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #590: input, references = 3, size of lhs = 13:
% 3.15/3.31 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V8), P_v_z____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V11), P_v_r-{F}(V12) | class_Ring__and__Field_Oidom-{T}(V10)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #591: input, references = 3, size of lhs = 13:
% 3.15/3.31 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V8), P_v_z____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V11), P_v_r-{F}(V12) | class_Nat_Osemiring__char__0-{T}(V10)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #592: input, references = 3, size of lhs = 13:
% 3.15/3.31 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V8), P_v_z____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V11), P_v_r-{F}(V12) | class_Int_Onumber__ring-{T}(V10)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #593: input, references = 3, size of lhs = 13:
% 3.15/3.31 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V8), P_v_z____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V11), P_v_r-{F}(V12) | class_Power_Opower-{T}(V10)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #594: input, references = 3, size of lhs = 13:
% 3.15/3.31 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V5), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V8), P_v_z____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V11), P_v_r-{F}(V12) | class_SEQ_Obanach-{T}(V10)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #595: input, references = 3, size of lhs = 2:
% 3.15/3.31 #-{F} V0, #-{F} V1 | EXISTS V2: P_c_HOL_Oabs__class_Oabs-{T}(V0,V1,V2)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #596: input, references = 3, size of lhs = 3:
% 3.15/3.31 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_Power_Opower__class_Opower-{T}(V0,V1,V2,V3)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #597: input, references = 3, size of lhs = 2:
% 3.15/3.31 #-{F} V0, #-{F} V1 | EXISTS V2: P_c_HOL_Oinverse__class_Oinverse-{T}(V0,V1,V2)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #598: input, references = 4, size of lhs = 3:
% 3.15/3.31 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_HOL_Oinverse__class_Odivide-{T}(V0,V1,V2,V3)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #599: input, references = 3, size of lhs = 3:
% 3.15/3.31 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_RealVector_OscaleR__class_OscaleR-{T}(V0,V1,V2,V3)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #600: input, references = 3, size of lhs = 3:
% 3.15/3.31 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_HOL_Oplus__class_Oplus-{T}(V0,V1,V2,V3)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #601: input, references = 3, size of lhs = 2:
% 3.15/3.31 #-{F} V0, #-{F} V1 | EXISTS V2: P_c_HOL_Ouminus__class_Ouminus-{T}(V0,V1,V2)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #602: input, references = 3, size of lhs = 3:
% 3.15/3.31 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_HOL_Otimes__class_Otimes-{T}(V0,V1,V2,V3)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #603: input, references = 8, size of lhs = 1:
% 3.15/3.31 #-{F} V0 | EXISTS V1: P_c_HOL_Ozero__class_Ozero-{T}(V0,V1)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #604: input, references = 3, size of lhs = 2:
% 3.15/3.31 #-{F} V0, #-{F} V1 | EXISTS V2: P_c_Transcendental_Oexp-{T}(V0,V1,V2)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #605: input, references = 6, size of lhs = 2:
% 3.15/3.31 #-{F} V0, #-{F} V1 | EXISTS V2: P_c_RealVector_Onorm__class_Onorm-{T}(V0,V1,V2)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #606: input, references = 3, size of lhs = 3:
% 3.15/3.31 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_HOL_Ominus__class_Ominus-{T}(V0,V1,V2,V3)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #607: input, references = 3, size of lhs = 2:
% 3.15/3.31 #-{F} V0, #-{F} V1 | EXISTS V2: P_c_OrderedGroup_Olordered__ab__group__add__class_Onprt-{T}(V0,V1,V2)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #608: input, references = 3, size of lhs = 2:
% 3.15/3.31 #-{F} V0, #-{F} V1 | EXISTS V2: P_c_RealVector_Oof__real-{T}(V0,V1,V2)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #609: input, references = 4, size of lhs = 0:
% 3.15/3.31 FALSE | EXISTS V0: P_tc_RealDef_Oreal-{T}(V0)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #610: input, references = 3, size of lhs = 2:
% 3.15/3.31 #-{F} V0, #-{F} V1 | EXISTS V2: P_c_Nat_Osemiring__1__class_Oof__nat-{T}(V0,V1,V2)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #611: input, references = 3, size of lhs = 2:
% 3.15/3.31 #-{F} V0, #-{F} V1 | EXISTS V2: P_c_RealDef_Oreal-{T}(V0,V1,V2)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #612: input, references = 4, size of lhs = 0:
% 3.15/3.31 FALSE | EXISTS V0: P_tc_nat-{T}(V0)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #613: input, references = 6, size of lhs = 1:
% 3.15/3.31 #-{F} V0 | EXISTS V1: P_c_NthRoot_Osqrt-{T}(V0,V1)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #614: input, references = 4, size of lhs = 0:
% 3.15/3.31 FALSE | EXISTS V0: P_c_Transcendental_Opi-{T}(V0)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #615: input, references = 3, size of lhs = 3:
% 3.15/3.31 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_RealVector_Odist__class_Odist-{T}(V0,V1,V2,V3)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #616: input, references = 3, size of lhs = 2:
% 3.15/3.31 #-{F} V0, #-{F} V1 | EXISTS V2: P_c_RealVector_Osko__RealVector__XscaleR__left__Xnonneg__bounded__1__1-{T}(V0,V1,V2)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #617: input, references = 4, size of lhs = 0:
% 3.15/3.31 FALSE | EXISTS V0: P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{T}(V0)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #618: input, references = 4, size of lhs = 0:
% 3.15/3.31 FALSE | EXISTS V0: P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{T}(V0)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #619: input, references = 3, size of lhs = 2:
% 3.15/3.31 #-{F} V0, #-{F} V1 | EXISTS V2: P_c_RealVector_Osko__RealVector__Xmult__left__Xnonneg__bounded__1__1-{T}(V0,V1,V2)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #620: input, references = 3, size of lhs = 2:
% 3.15/3.31 #-{F} V0, #-{F} V1 | EXISTS V2: P_c_RealVector_Osko__RealVector__Xdivide__Xnonneg__bounded__1__1-{T}(V0,V1,V2)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #621: input, references = 3, size of lhs = 1:
% 3.15/3.31 #-{F} V0 | EXISTS V1: P_c_Transcendental_Osko__Transcendental__Xtan__total__pos__1__1-{T}(V0,V1)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #622: input, references = 3, size of lhs = 2:
% 3.15/3.31 #-{F} V0, #-{F} V1 | EXISTS V2: P_c_RealVector_Osko__RealVector__Xmult__right__Xnonneg__bounded__1__1-{T}(V0,V1,V2)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #623: input, references = 3, size of lhs = 2:
% 3.15/3.31 #-{F} V0, #-{F} V1 | EXISTS V2: P_c_RealVector_Osko__RealVector__Xmult__Xnonneg__bounded__1__1-{T}(V0,V1,V2)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #624: input, references = 4, size of lhs = 0:
% 3.15/3.31 FALSE | EXISTS V0: P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{T}(V0)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #625: input, references = 3, size of lhs = 2:
% 3.15/3.31 #-{F} V0, #-{F} V1 | EXISTS V2: P_c_RealVector_Osko__RealVector__Xof__real__Xnonneg__bounded__1__1-{T}(V0,V1,V2)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #626: input, references = 4, size of lhs = 0:
% 3.15/3.31 FALSE | EXISTS V0: P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{T}(V0)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #627: input, references = 3, size of lhs = 3:
% 3.15/3.31 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_RealVector_Osko__RealVector__XscaleR__right__Xnonneg__bounded__1__1-{T}(V0,V1,V2,V3)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #628: input, references = 3, size of lhs = 2:
% 3.15/3.31 #-{F} V0, #-{F} V1 | EXISTS V2: P_c_RealVector_Osko__RealVector__XscaleR__Xnonneg__bounded__1__1-{T}(V0,V1,V2)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #629: input, references = 4, size of lhs = 0:
% 3.15/3.31 FALSE | EXISTS V0: P_v_z____-{T}(V0)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #630: input, references = 4, size of lhs = 0:
% 3.15/3.31 FALSE | EXISTS V0: P_tc_Complex_Ocomplex-{T}(V0)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #631: input, references = 4, size of lhs = 0:
% 3.15/3.31 FALSE | EXISTS V0: P_v_r-{T}(V0)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 number of initial rules = 632
% 3.15/3.31
% 3.15/3.31 Simplifiers:
% 3.15/3.31 #632: unsound, references = 3, size of lhs = 3:
% 3.15/3.31 class_Ring__and__Field_Oordered__idom-{F}(V0), class_Ring__and__Field_Oordered__idom-{F}(V1), V0 == V1 | FALSE
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #633: unsound, references = 3, size of lhs = 3:
% 3.15/3.31 class_Ring__and__Field_Oordered__field-{F}(V0), class_Ring__and__Field_Oordered__field-{F}(V1), V0 == V1 | FALSE
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #634: unsound, references = 3, size of lhs = 3:
% 3.15/3.31 class_OrderedGroup_Opordered__ab__group__add__abs-{F}(V0), class_OrderedGroup_Opordered__ab__group__add__abs-{F}(V1), V0 == V1 | FALSE
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #635: unsound, references = 3, size of lhs = 3:
% 3.15/3.31 class_OrderedGroup_Oordered__ab__group__add-{F}(V0), class_OrderedGroup_Oordered__ab__group__add-{F}(V1), V0 == V1 | FALSE
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #636: unsound, references = 3, size of lhs = 3:
% 3.15/3.31 class_OrderedGroup_Olordered__ab__group__add-{F}(V0), class_OrderedGroup_Olordered__ab__group__add-{F}(V1), V0 == V1 | FALSE
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #637: unsound, references = 3, size of lhs = 3:
% 3.15/3.31 class_Ring__and__Field_Olordered__ring-{F}(V0), class_Ring__and__Field_Olordered__ring-{F}(V1), V0 == V1 | FALSE
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #638: unsound, references = 3, size of lhs = 3:
% 3.15/3.31 class_Ring__and__Field_Opordered__ring-{F}(V0), class_Ring__and__Field_Opordered__ring-{F}(V1), V0 == V1 | FALSE
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #639: unsound, references = 3, size of lhs = 3:
% 3.15/3.31 class_OrderedGroup_Olordered__ab__group__add__abs-{F}(V0), class_OrderedGroup_Olordered__ab__group__add__abs-{F}(V1), V0 == V1 | FALSE
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #640: unsound, references = 3, size of lhs = 3:
% 3.15/3.31 class_Ring__and__Field_Oordered__ring__strict-{F}(V0), class_Ring__and__Field_Oordered__ring__strict-{F}(V1), V0 == V1 | FALSE
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #641: unsound, references = 3, size of lhs = 3:
% 3.15/3.31 class_Ring__and__Field_Opordered__ring__abs-{F}(V0), class_Ring__and__Field_Opordered__ring__abs-{F}(V1), V0 == V1 | FALSE
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #642: unsound, references = 3, size of lhs = 3:
% 3.15/3.31 class_OrderedGroup_Opordered__ab__group__add-{F}(V0), class_OrderedGroup_Opordered__ab__group__add-{F}(V1), V0 == V1 | FALSE
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #643: unsound, references = 3, size of lhs = 3:
% 3.15/3.31 P_c_HOL_Oabs__class_Oabs-{F}(V0,V1,V2), P_c_HOL_Oabs__class_Oabs-{F}(V0,V1,V5), V2 == V5 | FALSE
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #644: unsound, references = 3, size of lhs = 3:
% 3.15/3.31 P_c_Power_Opower__class_Opower-{F}(V0,V1,V2,V3), P_c_Power_Opower__class_Opower-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #645: unsound, references = 3, size of lhs = 3:
% 3.15/3.31 P_c_HOL_Oinverse__class_Oinverse-{F}(V0,V1,V2), P_c_HOL_Oinverse__class_Oinverse-{F}(V0,V1,V5), V2 == V5 | FALSE
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #646: unsound, references = 3, size of lhs = 3:
% 3.15/3.31 P_c_HOL_Oinverse__class_Odivide-{F}(V0,V1,V2,V3), P_c_HOL_Oinverse__class_Odivide-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #647: unsound, references = 3, size of lhs = 3:
% 3.15/3.31 P_c_RealVector_OscaleR__class_OscaleR-{F}(V0,V1,V2,V3), P_c_RealVector_OscaleR__class_OscaleR-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #648: unsound, references = 3, size of lhs = 3:
% 3.15/3.31 P_c_HOL_Oplus__class_Oplus-{F}(V0,V1,V2,V3), P_c_HOL_Oplus__class_Oplus-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #649: unsound, references = 3, size of lhs = 3:
% 3.15/3.31 P_c_HOL_Ouminus__class_Ouminus-{F}(V0,V1,V2), P_c_HOL_Ouminus__class_Ouminus-{F}(V0,V1,V5), V2 == V5 | FALSE
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #650: unsound, references = 3, size of lhs = 3:
% 3.15/3.31 P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_c_HOL_Ozero__class_Ozero-{F}(V0,V3), V1 == V3 | FALSE
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #651: unsound, references = 3, size of lhs = 3:
% 3.15/3.31 P_c_HOL_Otimes__class_Otimes-{F}(V0,V1,V2,V3), P_c_HOL_Otimes__class_Otimes-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #652: unsound, references = 3, size of lhs = 3:
% 3.15/3.31 P_c_Transcendental_Oexp-{F}(V0,V1,V2), P_c_Transcendental_Oexp-{F}(V0,V1,V5), V2 == V5 | FALSE
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #653: unsound, references = 3, size of lhs = 3:
% 3.15/3.31 P_c_RealVector_Onorm__class_Onorm-{F}(V0,V1,V2), P_c_RealVector_Onorm__class_Onorm-{F}(V0,V1,V5), V2 == V5 | FALSE
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #654: unsound, references = 3, size of lhs = 3:
% 3.15/3.31 P_c_HOL_Ominus__class_Ominus-{F}(V0,V1,V2,V3), P_c_HOL_Ominus__class_Ominus-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #655: unsound, references = 3, size of lhs = 3:
% 3.15/3.31 P_c_OrderedGroup_Olordered__ab__group__add__class_Onprt-{F}(V0,V1,V2), P_c_OrderedGroup_Olordered__ab__group__add__class_Onprt-{F}(V0,V1,V5), V2 == V5 | FALSE
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #656: unsound, references = 3, size of lhs = 3:
% 3.15/3.31 P_tc_RealDef_Oreal-{F}(V0), P_tc_RealDef_Oreal-{F}(V1), V0 == V1 | FALSE
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #657: unsound, references = 3, size of lhs = 3:
% 3.15/3.31 P_c_RealVector_Oof__real-{F}(V0,V1,V2), P_c_RealVector_Oof__real-{F}(V0,V1,V5), V2 == V5 | FALSE
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #658: unsound, references = 3, size of lhs = 3:
% 3.15/3.31 P_c_Nat_Osemiring__1__class_Oof__nat-{F}(V0,V1,V2), P_c_Nat_Osemiring__1__class_Oof__nat-{F}(V0,V1,V5), V2 == V5 | FALSE
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #659: unsound, references = 3, size of lhs = 3:
% 3.15/3.31 P_c_RealDef_Oreal-{F}(V0,V1,V2), P_c_RealDef_Oreal-{F}(V0,V1,V5), V2 == V5 | FALSE
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #660: unsound, references = 3, size of lhs = 3:
% 3.15/3.31 P_tc_nat-{F}(V0), P_tc_nat-{F}(V1), V0 == V1 | FALSE
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #661: unsound, references = 3, size of lhs = 3:
% 3.15/3.31 P_c_NthRoot_Osqrt-{F}(V0,V1), P_c_NthRoot_Osqrt-{F}(V0,V3), V1 == V3 | FALSE
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #662: unsound, references = 3, size of lhs = 3:
% 3.15/3.31 P_c_Transcendental_Opi-{F}(V0), P_c_Transcendental_Opi-{F}(V1), V0 == V1 | FALSE
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #663: unsound, references = 3, size of lhs = 3:
% 3.15/3.31 P_c_RealVector_Odist__class_Odist-{F}(V0,V1,V2,V3), P_c_RealVector_Odist__class_Odist-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #664: unsound, references = 3, size of lhs = 3:
% 3.15/3.31 P_c_RealVector_Osko__RealVector__XscaleR__left__Xnonneg__bounded__1__1-{F}(V0,V1,V2), P_c_RealVector_Osko__RealVector__XscaleR__left__Xnonneg__bounded__1__1-{F}(V0,V1,V5), V2 == V5 | FALSE
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #665: unsound, references = 3, size of lhs = 3:
% 3.15/3.31 P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V0), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V1), V0 == V1 | FALSE
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #666: unsound, references = 3, size of lhs = 3:
% 3.15/3.31 P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V0), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V1), V0 == V1 | FALSE
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #667: unsound, references = 3, size of lhs = 3:
% 3.15/3.31 P_c_RealVector_Osko__RealVector__Xmult__left__Xnonneg__bounded__1__1-{F}(V0,V1,V2), P_c_RealVector_Osko__RealVector__Xmult__left__Xnonneg__bounded__1__1-{F}(V0,V1,V5), V2 == V5 | FALSE
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #668: unsound, references = 3, size of lhs = 3:
% 3.15/3.31 P_c_RealVector_Osko__RealVector__Xdivide__Xnonneg__bounded__1__1-{F}(V0,V1,V2), P_c_RealVector_Osko__RealVector__Xdivide__Xnonneg__bounded__1__1-{F}(V0,V1,V5), V2 == V5 | FALSE
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #669: unsound, references = 3, size of lhs = 3:
% 3.15/3.31 P_c_Transcendental_Osko__Transcendental__Xtan__total__pos__1__1-{F}(V0,V1), P_c_Transcendental_Osko__Transcendental__Xtan__total__pos__1__1-{F}(V0,V3), V1 == V3 | FALSE
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #670: unsound, references = 3, size of lhs = 3:
% 3.15/3.31 P_c_RealVector_Osko__RealVector__Xmult__right__Xnonneg__bounded__1__1-{F}(V0,V1,V2), P_c_RealVector_Osko__RealVector__Xmult__right__Xnonneg__bounded__1__1-{F}(V0,V1,V5), V2 == V5 | FALSE
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #671: unsound, references = 3, size of lhs = 3:
% 3.15/3.31 P_c_RealVector_Osko__RealVector__Xmult__Xnonneg__bounded__1__1-{F}(V0,V1,V2), P_c_RealVector_Osko__RealVector__Xmult__Xnonneg__bounded__1__1-{F}(V0,V1,V5), V2 == V5 | FALSE
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #672: unsound, references = 3, size of lhs = 3:
% 3.15/3.31 P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V0), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V1), V0 == V1 | FALSE
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #673: unsound, references = 3, size of lhs = 3:
% 3.15/3.31 P_c_RealVector_Osko__RealVector__Xof__real__Xnonneg__bounded__1__1-{F}(V0,V1,V2), P_c_RealVector_Osko__RealVector__Xof__real__Xnonneg__bounded__1__1-{F}(V0,V1,V5), V2 == V5 | FALSE
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #674: unsound, references = 3, size of lhs = 3:
% 3.15/3.31 P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V0), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V1), V0 == V1 | FALSE
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #675: unsound, references = 3, size of lhs = 3:
% 3.15/3.31 P_c_RealVector_Osko__RealVector__XscaleR__right__Xnonneg__bounded__1__1-{F}(V0,V1,V2,V3), P_c_RealVector_Osko__RealVector__XscaleR__right__Xnonneg__bounded__1__1-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #676: unsound, references = 3, size of lhs = 3:
% 3.15/3.31 P_c_RealVector_Osko__RealVector__XscaleR__Xnonneg__bounded__1__1-{F}(V0,V1,V2), P_c_RealVector_Osko__RealVector__XscaleR__Xnonneg__bounded__1__1-{F}(V0,V1,V5), V2 == V5 | FALSE
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #677: unsound, references = 3, size of lhs = 3:
% 3.15/3.31 P_v_z____-{F}(V0), P_v_z____-{F}(V1), V0 == V1 | FALSE
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #678: unsound, references = 3, size of lhs = 3:
% 3.15/3.31 P_tc_Complex_Ocomplex-{F}(V0), P_tc_Complex_Ocomplex-{F}(V1), V0 == V1 | FALSE
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #679: unsound, references = 3, size of lhs = 3:
% 3.15/3.31 P_v_r-{F}(V0), P_v_r-{F}(V1), V0 == V1 | FALSE
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 number of simplifiers = 48
% 3.15/3.31
% 3.15/3.31 Learnt:
% 3.15/3.31 #684: mergings( V2 == V5, V3 == V6; #681 ), references = 1, size of lhs = 12:
% 3.15/3.31 P_v_r-{F}(V0), P_c_Transcendental_Opi-{F}(V0), P_tc_RealDef_Oreal-{F}(V1), P_c_HOL_Ozero__class_Ozero-{F}(V1,V2), P_tc_nat-{F}(V3), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V4), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V5), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V7), P_v_z____-{F}(V8), P_tc_Complex_Ocomplex-{F}(V9), P_c_RealVector_Onorm__class_Onorm-{F}(V8,V9,V10) | FALSE
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #688: mergings( V2 == V4, V3 == V5; #685 ), references = 1, size of lhs = 11:
% 3.15/3.31 P_v_r-{F}(V0), P_c_Transcendental_Opi-{F}(V0), P_tc_RealDef_Oreal-{F}(V1), P_tc_nat-{F}(V2), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V3), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V4), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V5), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V6), P_v_z____-{F}(V7), P_tc_Complex_Ocomplex-{F}(V8), P_c_RealVector_Onorm__class_Onorm-{F}(V7,V8,V9) | FALSE
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #692: mergings( V3 == V6, V4 == V7; #689 ), references = 1, size of lhs = 10:
% 3.15/3.31 P_v_r-{F}(V0), P_c_Transcendental_Opi-{F}(V0), P_tc_RealDef_Oreal-{F}(V1), P_tc_nat-{F}(V2), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V3), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V4), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V5), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V6), P_v_z____-{F}(V7), P_tc_Complex_Ocomplex-{F}(V8) | FALSE
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #694: exists( #613, #285 ), references = 1, size of lhs = 10:
% 3.15/3.31 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V4,V5), P_c_HOL_Oinverse__class_Odivide-{F}(V4,V6,V0,V7), P_c_NthRoot_Osqrt-{F}(V7,V8), P_c_NthRoot_Osqrt-{F}(V6,V9), P_c_HOL_Oinverse__class_Odivide-{F}(V5,V9,V0,V10), V8 == V10 | FALSE
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #696: exists( #598, #693 ), references = 1, size of lhs = 8:
% 3.15/3.31 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V4,V5), P_c_HOL_Oinverse__class_Odivide-{F}(V4,V6,V0,V7), P_c_NthRoot_Osqrt-{F}(V7,V8), P_c_NthRoot_Osqrt-{F}(V6,V9) | P_c_HOL_Oinverse__class_Odivide-{T}(V5,V9,V0,V8)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #698: exists( #613, #220 ), references = 4, size of lhs = 4:
% 3.15/3.31 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3) | P_c_NthRoot_Osqrt-{T}(V1,V1)
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #713: mergings( V2 == V4, V4 == V8, V8 == V13, V3 == V5, V5 == V9, V9 == V14, V6 == V10, V10 == V15, V7 == V11, V11 == V16; #702 ), references = 1, size of lhs = 12:
% 3.15/3.31 P_tc_RealDef_Oreal-{F}(V0), P_v_r-{F}(V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V4), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V5), P_c_Transcendental_Osko__Transcendental__Xtan__total__pos__1__1-{F}(V5,V1), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V7), P_v_z____-{F}(V8), P_tc_Complex_Ocomplex-{F}(V9), P_c_RealVector_Onorm__class_Onorm-{F}(V8,V9,V10) | FALSE
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #725: mergings( V3 == V5, V5 == V9, V9 == V15, V4 == V6, V6 == V10, V10 == V16, V7 == V11, V11 == V17, V8 == V12, V12 == V18; #714 ), references = 1, size of lhs = 11:
% 3.15/3.31 P_tc_RealDef_Oreal-{F}(V0), P_v_r-{F}(V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V4), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V5), P_c_Transcendental_Osko__Transcendental__Xtan__total__pos__1__1-{F}(V5,V1), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V7), P_v_z____-{F}(V8), P_tc_Complex_Ocomplex-{F}(V9) | FALSE
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #753: mergings( V2 == V4, V4 == V6, V6 == V14, V14 == V20, V3 == V5, V5 == V7, V7 == V15, V15 == V21, V8 == V16, V16 == V22, V9 == V17, V17 == V23, V10 == V18, V18 == V24, V11 == V19, V19 == V25, V12 == V26, V13 == V27, V21 == V28; #733 ), references = 1, size of lhs = 11:
% 3.15/3.31 P_tc_RealDef_Oreal-{F}(V0), P_tc_nat-{F}(V1), P_c_Transcendental_Opi-{F}(V2), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V3), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V4), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V5), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V6), P_v_z____-{F}(V7), P_tc_Complex_Ocomplex-{F}(V8), P_c_RealVector_Onorm__class_Onorm-{F}(V7,V8,V2), P_v_r-{F}(V9) | FALSE
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #780: mergings( V2 == V4, V4 == V8, V8 == V16, V16 == V22, V3 == V5, V5 == V9, V9 == V17, V17 == V23, V6 == V10, V10 == V18, V18 == V24, V7 == V11, V11 == V19, V19 == V25, V12 == V20, V20 == V26, V13 == V21, V21 == V27, V14 == V28, V15 == V29, V25 == V30; #758 ), references = 1, size of lhs = 11:
% 3.15/3.31 P_tc_RealDef_Oreal-{F}(V0), P_tc_nat-{F}(V1), P_c_Transcendental_Opi-{F}(V2), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V3), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V4), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V5), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V6), P_v_z____-{F}(V7), P_tc_Complex_Ocomplex-{F}(V8), P_c_RealVector_Onorm__class_Onorm-{F}(V7,V8,V4), P_v_r-{F}(V9) | FALSE
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #816: mergings( V2 == V4, V4 == V13, V13 == V21, V21 == V27, V3 == V5, V5 == V14, V14 == V22, V22 == V28, V6 == V15, V15 == V23, V23 == V29, V7 == V16, V16 == V24, V24 == V30, V8 == V17, V17 == V25, V25 == V31, V9 == V18, V18 == V26, V26 == V32, V10 == V19, V19 == V33, V11 == V20, V20 == V34, V12 == V35; #790 ), references = 1, size of lhs = 11:
% 3.15/3.31 P_tc_RealDef_Oreal-{F}(V0), P_tc_nat-{F}(V1), P_c_Transcendental_Opi-{F}(V2), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V3), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V4), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V5), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V6), P_v_z____-{F}(V7), P_tc_Complex_Ocomplex-{F}(V8), P_c_RealVector_Onorm__class_Onorm-{F}(V7,V8,V9), P_v_r-{F}(V10) | FALSE
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #838: mergings( V3 == V5, V5 == V11, V11 == V17, V17 == V24, V4 == V6, V6 == V12, V12 == V18, V18 == V25, V7 == V13, V13 == V19, V19 == V26, V8 == V14, V14 == V20, V20 == V27, V9 == V15, V15 == V21, V21 == V28, V10 == V16, V16 == V22, V22 == V29; #817 ), references = 1, size of lhs = 10:
% 3.15/3.31 P_tc_RealDef_Oreal-{F}(V0), P_tc_nat-{F}(V1), P_c_Transcendental_Opi-{F}(V2), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V3), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V4), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V5), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V6), P_v_z____-{F}(V7), P_tc_Complex_Ocomplex-{F}(V8), P_v_r-{F}(V9) | FALSE
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #860: mergings( V1 == V3, V3 == V9, V9 == V15, V15 == V22, V2 == V4, V4 == V10, V10 == V16, V16 == V23, V5 == V11, V11 == V17, V17 == V24, V6 == V12, V12 == V18, V18 == V25, V7 == V13, V13 == V19, V19 == V26, V8 == V14, V14 == V20, V20 == V27; #839 ), references = 1, size of lhs = 9:
% 3.15/3.31 P_tc_RealDef_Oreal-{F}(V0), P_tc_nat-{F}(V1), P_c_Transcendental_Opi-{F}(V2), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V3), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V4), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V5), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V6), P_v_z____-{F}(V7), P_tc_Complex_Ocomplex-{F}(V8) | FALSE
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #882: mergings( V1 == V3, V3 == V9, V9 == V15, V15 == V22, V2 == V4, V4 == V10, V10 == V16, V16 == V23, V5 == V11, V11 == V17, V17 == V24, V6 == V12, V12 == V18, V18 == V25, V7 == V13, V13 == V19, V19 == V26, V8 == V14, V14 == V20, V20 == V27; #861 ), references = 1, size of lhs = 8:
% 3.15/3.31 P_tc_RealDef_Oreal-{F}(V0), P_tc_nat-{F}(V1), P_c_Transcendental_Opi-{F}(V2), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V3), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V4), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V5), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V6), P_v_z____-{F}(V7) | FALSE
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #904: mergings( V1 == V3, V3 == V9, V9 == V15, V15 == V22, V2 == V4, V4 == V10, V10 == V16, V16 == V23, V5 == V11, V11 == V17, V17 == V24, V6 == V12, V12 == V18, V18 == V25, V7 == V13, V13 == V19, V19 == V26, V8 == V14, V14 == V20, V20 == V27; #883 ), references = 1, size of lhs = 7:
% 3.15/3.31 P_tc_RealDef_Oreal-{F}(V0), P_tc_nat-{F}(V1), P_c_Transcendental_Opi-{F}(V2), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V3), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V4), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V5), P_c_Complex_Osko__Complex__Xcnj__Xnonneg__bounded__1__1-{F}(V6) | FALSE
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #923: mergings( V1 == V3, V3 == V8, V8 == V13, V13 == V19, V2 == V4, V4 == V9, V9 == V14, V14 == V20, V5 == V10, V10 == V15, V15 == V21, V6 == V11, V11 == V16, V16 == V22, V7 == V12, V12 == V17, V17 == V23; #905 ), references = 1, size of lhs = 6:
% 3.15/3.31 P_tc_RealDef_Oreal-{F}(V0), P_tc_nat-{F}(V1), P_c_Transcendental_Opi-{F}(V2), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V3), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V4), P_c_Complex_Osko__Complex__XIm__Xnonneg__bounded__1__1-{F}(V5) | FALSE
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #939: mergings( V1 == V3, V3 == V7, V7 == V11, V11 == V16, V2 == V4, V4 == V8, V8 == V12, V12 == V17, V5 == V9, V9 == V13, V13 == V18, V6 == V10, V10 == V14, V14 == V19; #924 ), references = 1, size of lhs = 5:
% 3.15/3.31 P_tc_RealDef_Oreal-{F}(V0), P_tc_nat-{F}(V1), P_c_Transcendental_Opi-{F}(V2), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V3), P_c_Complex_Osko__Complex__XRe__Xnonneg__bounded__1__1-{F}(V4) | FALSE
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #952: mergings( V1 == V3, V3 == V6, V6 == V9, V9 == V13, V2 == V4, V4 == V7, V7 == V10, V10 == V14, V5 == V8, V8 == V11, V11 == V15; #940 ), references = 1, size of lhs = 4:
% 3.15/3.31 P_tc_RealDef_Oreal-{F}(V0), P_tc_nat-{F}(V1), P_c_Transcendental_Opi-{F}(V2), P_c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1-{F}(V3) | FALSE
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #962: mergings( V1 == V3, V3 == V5, V5 == V7, V7 == V10, V2 == V4, V4 == V6, V6 == V8, V8 == V11; #953 ), references = 1, size of lhs = 3:
% 3.15/3.31 P_tc_RealDef_Oreal-{F}(V0), P_tc_nat-{F}(V1), P_c_Transcendental_Opi-{F}(V2) | FALSE
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #968: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V6; #963 ), references = 1, size of lhs = 2:
% 3.15/3.31 P_tc_RealDef_Oreal-{F}(V0), P_tc_nat-{F}(V1) | FALSE
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #970: exists( #612, #963 ), references = 1, size of lhs = 1:
% 3.15/3.31 P_tc_RealDef_Oreal-{F}(V0) | FALSE
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 #972: exists( #609, #969 ), references = 1, size of lhs = 0:
% 3.15/3.31 FALSE | FALSE
% 3.15/3.31 (used 0 times, uses = {})
% 3.15/3.31
% 3.15/3.31 number of learnt formulas = 22
% 3.15/3.31
% 3.15/3.31
% 3.15/3.31 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.15/3.31
% 3.15/3.31 randbase = 1
%------------------------------------------------------------------------------