TSTP Solution File: ANA027-2 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : ANA027-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n018.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 05:57:48 EDT 2022
% Result : Unsatisfiable 0.18s 0.50s
% Output : Refutation 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : ANA027-2 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n018.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sat Jul 23 00:34:11 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.50 GeoParameters:
% 0.18/0.50
% 0.18/0.50 tptp_input = 1
% 0.18/0.50 tptp_output = 0
% 0.18/0.50 nonempty = 1
% 0.18/0.50 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.50 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.18/0.50
% 0.18/0.50
% 0.18/0.50 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.50 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.50
% 0.18/0.50 RuleSystem INPUT:
% 0.18/0.50
% 0.18/0.50 Initial Rules:
% 0.18/0.50 #0: input, references = 5, size of lhs = 6:
% 0.18/0.50 P_c_0-{F}(V0), P_v_x-{F}(V1), P_v_f-{F}(V1,V2), P_v_k-{F}(V1,V3), P_t_b-{F}(V4), P_c_minus-{F}(V2,V3,V4,V5) | c_lessequals-{T}(V0,V5,V4)
% 0.18/0.50 (used 0 times, uses = {})
% 0.18/0.50
% 0.18/0.50 #1: input, references = 4, size of lhs = 7:
% 0.18/0.50 P_c_0-{F}(V0), P_v_x-{F}(V1), P_v_f-{F}(V1,V2), P_v_k-{F}(V1,V3), P_t_b-{F}(V4), P_c_minus-{F}(V2,V3,V4,V5), P_v_g-{F}(V1,V6) | c_lessequals-{T}(V6,V3,V4)
% 0.18/0.50 (used 0 times, uses = {})
% 0.18/0.50
% 0.18/0.50 #2: input, references = 5, size of lhs = 9:
% 0.18/0.50 P_c_0-{F}(V0), P_v_x-{F}(V1), P_v_f-{F}(V1,V2), P_v_k-{F}(V1,V3), P_t_b-{F}(V4), P_c_minus-{F}(V2,V3,V4,V5), P_v_g-{F}(V1,V6), P_c_minus-{F}(V2,V6,V4,V7), c_lessequals-{F}(V0,V7,V4) | FALSE
% 0.18/0.50 (used 0 times, uses = {})
% 0.18/0.50
% 0.18/0.50 #3: input, references = 5, size of lhs = 8:
% 0.18/0.50 P_c_0-{F}(V0), P_v_x-{F}(V1), P_v_f-{F}(V1,V2), P_v_k-{F}(V1,V3), P_t_b-{F}(V4), P_c_minus-{F}(V2,V3,V4,V5), P_v_g-{F}(V1,V6), P_c_minus-{F}(V2,V6,V4,V7) | class_Ring__and__Field_Oordered__idom-{T}(V4)
% 0.18/0.50 (used 0 times, uses = {})
% 0.18/0.50
% 0.18/0.50 #4: input, references = 4, size of lhs = 11:
% 0.18/0.50 P_c_0-{F}(V0), P_v_x-{F}(V1), P_v_f-{F}(V1,V2), P_v_k-{F}(V1,V3), P_t_b-{F}(V4), P_c_minus-{F}(V2,V3,V4,V5), P_v_g-{F}(V1,V6), P_c_minus-{F}(V2,V6,V4,V7), class_OrderedGroup_Ocomm__monoid__add-{F}(V8), P_c_plus-{F}(V0,V9,V8,V10), V10 == V9 | FALSE
% 0.18/0.50 (used 0 times, uses = {})
% 0.18/0.50
% 0.18/0.50 #5: input, references = 4, size of lhs = 12:
% 0.18/0.50 P_c_0-{F}(V0), P_v_x-{F}(V1), P_v_f-{F}(V1,V2), P_v_k-{F}(V1,V3), P_t_b-{F}(V4), P_c_minus-{F}(V2,V3,V4,V5), P_v_g-{F}(V1,V6), P_c_minus-{F}(V2,V6,V4,V7), class_OrderedGroup_Opordered__ab__group__add-{F}(V8), P_c_minus-{F}(V10,V9,V8,V12), P_c_plus-{F}(V11,V9,V8,V13), c_lessequals-{F}(V11,V12,V8) | c_lessequals-{T}(V13,V10,V8)
% 0.18/0.50 (used 0 times, uses = {})
% 0.18/0.50
% 0.18/0.50 #6: input, references = 4, size of lhs = 12:
% 0.18/0.50 P_c_0-{F}(V0), P_v_x-{F}(V1), P_v_f-{F}(V1,V2), P_v_k-{F}(V1,V3), P_t_b-{F}(V4), P_c_minus-{F}(V2,V3,V4,V5), P_v_g-{F}(V1,V6), P_c_minus-{F}(V2,V6,V4,V7), class_OrderedGroup_Opordered__ab__group__add-{F}(V8), P_c_plus-{F}(V11,V9,V8,V12), P_c_minus-{F}(V10,V9,V8,V13), c_lessequals-{F}(V12,V10,V8) | c_lessequals-{T}(V11,V13,V8)
% 0.18/0.50 (used 0 times, uses = {})
% 0.18/0.50
% 0.18/0.50 #7: input, references = 4, size of lhs = 11:
% 0.18/0.50 P_c_0-{F}(V0), P_v_x-{F}(V1), P_v_f-{F}(V1,V2), P_v_k-{F}(V1,V3), P_t_b-{F}(V4), P_c_minus-{F}(V2,V3,V4,V5), P_v_g-{F}(V1,V6), P_c_minus-{F}(V2,V6,V4,V7), class_Orderings_Oorder-{F}(V8), c_lessequals-{F}(V11,V10,V8), c_lessequals-{F}(V9,V11,V8) | c_lessequals-{T}(V9,V10,V8)
% 0.18/0.50 (used 0 times, uses = {})
% 0.18/0.50
% 0.18/0.50 #8: input, references = 4, size of lhs = 9:
% 0.18/0.50 P_c_0-{F}(V0), P_v_x-{F}(V1), P_v_f-{F}(V1,V2), P_v_k-{F}(V1,V3), P_t_b-{F}(V4), P_c_minus-{F}(V2,V3,V4,V5), P_v_g-{F}(V1,V6), P_c_minus-{F}(V2,V6,V4,V7), class_LOrder_Ojoin__semilorder-{F}(V8) | class_Orderings_Oorder-{T}(V8)
% 0.18/0.50 (used 0 times, uses = {})
% 0.18/0.50
% 0.18/0.50 #9: input, references = 4, size of lhs = 9:
% 0.18/0.50 P_c_0-{F}(V0), P_v_x-{F}(V1), P_v_f-{F}(V1,V2), P_v_k-{F}(V1,V3), P_t_b-{F}(V4), P_c_minus-{F}(V2,V3,V4,V5), P_v_g-{F}(V1,V6), P_c_minus-{F}(V2,V6,V4,V7), class_OrderedGroup_Olordered__ab__group__abs-{F}(V8) | class_OrderedGroup_Opordered__ab__group__add-{T}(V8)
% 0.18/0.50 (used 0 times, uses = {})
% 0.18/0.50
% 0.18/0.50 #10: input, references = 4, size of lhs = 9:
% 0.18/0.50 P_c_0-{F}(V0), P_v_x-{F}(V1), P_v_f-{F}(V1,V2), P_v_k-{F}(V1,V3), P_t_b-{F}(V4), P_c_minus-{F}(V2,V3,V4,V5), P_v_g-{F}(V1,V6), P_c_minus-{F}(V2,V6,V4,V7), class_OrderedGroup_Olordered__ab__group__abs-{F}(V8) | class_LOrder_Ojoin__semilorder-{T}(V8)
% 0.18/0.50 (used 0 times, uses = {})
% 0.18/0.50
% 0.18/0.50 #11: input, references = 4, size of lhs = 9:
% 0.18/0.50 P_c_0-{F}(V0), P_v_x-{F}(V1), P_v_f-{F}(V1,V2), P_v_k-{F}(V1,V3), P_t_b-{F}(V4), P_c_minus-{F}(V2,V3,V4,V5), P_v_g-{F}(V1,V6), P_c_minus-{F}(V2,V6,V4,V7), class_Ring__and__Field_Oordered__idom-{F}(V8) | class_OrderedGroup_Ocomm__monoid__add-{T}(V8)
% 0.18/0.50 (used 0 times, uses = {})
% 0.18/0.50
% 0.18/0.50 #12: input, references = 4, size of lhs = 9:
% 0.18/0.50 P_c_0-{F}(V0), P_v_x-{F}(V1), P_v_f-{F}(V1,V2), P_v_k-{F}(V1,V3), P_t_b-{F}(V4), P_c_minus-{F}(V2,V3,V4,V5), P_v_g-{F}(V1,V6), P_c_minus-{F}(V2,V6,V4,V7), class_Ring__and__Field_Oordered__idom-{F}(V8) | class_OrderedGroup_Olordered__ab__group__abs-{T}(V8)
% 0.18/0.50 (used 0 times, uses = {})
% 0.18/0.50
% 0.18/0.50 #13: input, references = 4, size of lhs = 0:
% 0.18/0.50 FALSE | EXISTS V0: P_c_0-{T}(V0)
% 0.18/0.50 (used 0 times, uses = {})
% 0.18/0.50
% 0.18/0.50 #14: input, references = 7, size of lhs = 3:
% 0.18/0.50 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_minus-{T}(V0,V1,V2,V3)
% 0.18/0.50 (used 0 times, uses = {})
% 0.18/0.50
% 0.18/0.50 #15: input, references = 4, size of lhs = 1:
% 0.18/0.50 #-{F} V0 | EXISTS V1: P_v_f-{T}(V0,V1)
% 0.18/0.50 (used 0 times, uses = {})
% 0.18/0.50
% 0.18/0.50 #16: input, references = 4, size of lhs = 0:
% 0.18/0.50 FALSE | EXISTS V0: P_v_x-{T}(V0)
% 0.18/0.50 (used 0 times, uses = {})
% 0.18/0.50
% 0.18/0.50 #17: input, references = 4, size of lhs = 1:
% 0.18/0.50 #-{F} V0 | EXISTS V1: P_v_k-{T}(V0,V1)
% 0.18/0.50 (used 0 times, uses = {})
% 0.18/0.50
% 0.18/0.50 #18: input, references = 4, size of lhs = 0:
% 0.18/0.50 FALSE | EXISTS V0: P_t_b-{T}(V0)
% 0.18/0.50 (used 0 times, uses = {})
% 0.18/0.50
% 0.18/0.50 #19: input, references = 4, size of lhs = 1:
% 0.18/0.50 #-{F} V0 | EXISTS V1: P_v_g-{T}(V0,V1)
% 0.18/0.50 (used 0 times, uses = {})
% 0.18/0.50
% 0.18/0.50 #20: input, references = 4, size of lhs = 3:
% 0.18/0.50 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_plus-{T}(V0,V1,V2,V3)
% 0.18/0.50 (used 0 times, uses = {})
% 0.18/0.50
% 0.18/0.50 number of initial rules = 21
% 0.18/0.50
% 0.18/0.50 Simplifiers:
% 0.18/0.50 #21: unsound, references = 3, size of lhs = 3:
% 0.18/0.50 c_lessequals-{F}(V0,V1,V2), c_lessequals-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.18/0.50 (used 0 times, uses = {})
% 0.18/0.50
% 0.18/0.50 #22: unsound, references = 3, size of lhs = 3:
% 0.18/0.50 class_Ring__and__Field_Oordered__idom-{F}(V0), class_Ring__and__Field_Oordered__idom-{F}(V1), V0 == V1 | FALSE
% 0.18/0.50 (used 0 times, uses = {})
% 0.18/0.50
% 0.18/0.50 #23: unsound, references = 3, size of lhs = 3:
% 0.18/0.50 class_OrderedGroup_Ocomm__monoid__add-{F}(V0), class_OrderedGroup_Ocomm__monoid__add-{F}(V1), V0 == V1 | FALSE
% 0.18/0.50 (used 0 times, uses = {})
% 0.18/0.50
% 0.18/0.50 #24: unsound, references = 3, size of lhs = 3:
% 0.18/0.50 class_OrderedGroup_Opordered__ab__group__add-{F}(V0), class_OrderedGroup_Opordered__ab__group__add-{F}(V1), V0 == V1 | FALSE
% 0.18/0.50 (used 0 times, uses = {})
% 0.18/0.50
% 0.18/0.50 #25: unsound, references = 3, size of lhs = 3:
% 0.18/0.50 class_Orderings_Oorder-{F}(V0), class_Orderings_Oorder-{F}(V1), V0 == V1 | FALSE
% 0.18/0.50 (used 0 times, uses = {})
% 0.18/0.50
% 0.18/0.50 #26: unsound, references = 3, size of lhs = 3:
% 0.18/0.50 class_LOrder_Ojoin__semilorder-{F}(V0), class_LOrder_Ojoin__semilorder-{F}(V1), V0 == V1 | FALSE
% 0.18/0.50 (used 0 times, uses = {})
% 0.18/0.50
% 0.18/0.50 #27: unsound, references = 3, size of lhs = 3:
% 0.18/0.50 class_OrderedGroup_Olordered__ab__group__abs-{F}(V0), class_OrderedGroup_Olordered__ab__group__abs-{F}(V1), V0 == V1 | FALSE
% 0.18/0.50 (used 0 times, uses = {})
% 0.18/0.50
% 0.18/0.50 #28: unsound, references = 3, size of lhs = 3:
% 0.18/0.50 P_c_0-{F}(V0), P_c_0-{F}(V1), V0 == V1 | FALSE
% 0.18/0.50 (used 0 times, uses = {})
% 0.18/0.50
% 0.18/0.50 #29: unsound, references = 3, size of lhs = 3:
% 0.18/0.50 P_c_minus-{F}(V0,V1,V2,V3), P_c_minus-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.18/0.50 (used 0 times, uses = {})
% 0.18/0.50
% 0.18/0.50 #30: unsound, references = 3, size of lhs = 3:
% 0.18/0.50 P_v_f-{F}(V0,V1), P_v_f-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.50 (used 0 times, uses = {})
% 0.18/0.50
% 0.18/0.50 #31: unsound, references = 3, size of lhs = 3:
% 0.18/0.50 P_v_x-{F}(V0), P_v_x-{F}(V1), V0 == V1 | FALSE
% 0.18/0.50 (used 0 times, uses = {})
% 0.18/0.50
% 0.18/0.50 #32: unsound, references = 3, size of lhs = 3:
% 0.18/0.50 P_v_k-{F}(V0,V1), P_v_k-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.50 (used 0 times, uses = {})
% 0.18/0.50
% 0.18/0.50 #33: unsound, references = 3, size of lhs = 3:
% 0.18/0.50 P_t_b-{F}(V0), P_t_b-{F}(V1), V0 == V1 | FALSE
% 0.18/0.50 (used 0 times, uses = {})
% 0.18/0.50
% 0.18/0.50 #34: unsound, references = 3, size of lhs = 3:
% 0.18/0.50 P_v_g-{F}(V0,V1), P_v_g-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.50 (used 0 times, uses = {})
% 0.18/0.50
% 0.18/0.50 #35: unsound, references = 3, size of lhs = 3:
% 0.18/0.50 P_c_plus-{F}(V0,V1,V2,V3), P_c_plus-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.18/0.50 (used 0 times, uses = {})
% 0.18/0.50
% 0.18/0.50 number of simplifiers = 15
% 0.18/0.50
% 0.18/0.50 Learnt:
% 0.18/0.50 #39: mergings( V4 == V6; #37 ), references = 1, size of lhs = 6:
% 0.18/0.50 P_c_0-{F}(V0), P_v_x-{F}(V1), P_v_f-{F}(V1,V2), P_v_k-{F}(V1,V3), P_v_g-{F}(V1,V3), P_t_b-{F}(V4) | FALSE
% 0.18/0.50 (used 0 times, uses = {})
% 0.18/0.50
% 0.18/0.50 #51: mergings( V4 == V8, V8 == V12, V5 == V9, V9 == V13, V6 == V10, V7 == V11, V10 == V14, V11 == V15; #42 ), references = 1, size of lhs = 9:
% 0.18/0.50 P_c_0-{F}(V0), P_v_x-{F}(V1), P_v_f-{F}(V1,V2), P_v_g-{F}(V1,V3), P_v_k-{F}(V1,V4), P_t_b-{F}(V5), P_c_minus-{F}(V2,V4,V5,V6), P_c_plus-{F}(V0,V7,V5,V8), V8 == V7 | FALSE
% 0.18/0.50 (used 0 times, uses = {})
% 0.18/0.50
% 0.18/0.50 #61: mergings( V4 == V9, V9 == V0, V5 == V10, V10 == V12, V7 == V11, V14 == V15, V11 == V13, V15 == V16; #52 ), references = 3, size of lhs = 8:
% 0.18/0.50 P_c_0-{F}(V0), P_v_x-{F}(V1), P_v_f-{F}(V1,V2), P_v_g-{F}(V1,V3), P_v_k-{F}(V1,V4), P_t_b-{F}(V5), P_c_minus-{F}(V2,V4,V5,V6), #-{F} V7 | P_c_plus-{T}(V0,V7,V5,V7)
% 0.18/0.50 (used 0 times, uses = {})
% 0.18/0.50
% 0.18/0.50 #108: mergings( V4 == V7, V7 == V12, V12 == V16, V16 == V20, V20 == V24, V24 == V28, V28 == V32, V32 == V36, V5 == V8, V8 == V13, V13 == V17, V17 == V21, V21 == V25, V25 == V29, V29 == V33, V33 == V37, V6 == V9, V10 == V11, V9 == V14, V11 == V15, V14 == V18, V15 == V19, V18 == V22, V19 == V23, V22 == V26, V23 == V27, V26 == V30, V27 == V31, V30 == V34, V31 == V35, V34 == V38, V35 == V39; #75 ), references = 1, size of lhs = 12:
% 0.18/0.50 P_t_b-{F}(V0), P_c_0-{F}(V1), P_v_x-{F}(V2), P_v_f-{F}(V2,V3), P_v_g-{F}(V2,V4), P_v_k-{F}(V2,V5), P_c_minus-{F}(V3,V5,V0,V6), P_c_plus-{F}(V1,V4,V0,V7), c_lessequals-{F}(V7,V8,V0), P_c_minus-{F}(V3,V9,V0,V10), P_c_plus-{F}(V11,V9,V0,V8), c_lessequals-{F}(V11,V10,V0) | FALSE
% 0.18/0.50 (used 0 times, uses = {})
% 0.18/0.50
% 0.18/0.50 #138: mergings( V5 == V10, V10 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V23, V23 == V25, V25 == V27, V27 == V29, V4 == V6, V6 == V8, V8 == V11, V11 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V24, V24 == V26, V26 == V28, V28 == V30, V9 == V12, V12 == V7; #113 ), references = 1, size of lhs = 6:
% 0.18/0.50 P_t_b-{F}(V0), P_c_0-{F}(V1), P_v_x-{F}(V2), P_v_f-{F}(V2,V3), P_v_g-{F}(V2,V4), P_v_k-{F}(V2,V5) | FALSE
% 0.18/0.50 (used 0 times, uses = {})
% 0.18/0.50
% 0.18/0.50 #151: mergings( V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V16, V2 == V0; #139 ), references = 1, size of lhs = 5:
% 0.18/0.50 P_t_b-{F}(V0), P_c_0-{F}(V1), P_v_x-{F}(V2), P_v_f-{F}(V2,V3), P_v_k-{F}(V2,V4) | FALSE
% 0.18/0.50 (used 0 times, uses = {})
% 0.18/0.50
% 0.18/0.50 #163: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V14; #152 ), references = 1, size of lhs = 4:
% 0.18/0.50 P_t_b-{F}(V0), P_c_0-{F}(V1), P_v_x-{F}(V2), P_v_f-{F}(V2,V3) | FALSE
% 0.18/0.50 (used 0 times, uses = {})
% 0.18/0.50
% 0.18/0.50 #175: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V13; #164 ), references = 1, size of lhs = 3:
% 0.18/0.50 P_t_b-{F}(V0), P_c_0-{F}(V1), P_v_x-{F}(V2) | FALSE
% 0.18/0.50 (used 0 times, uses = {})
% 0.18/0.50
% 0.18/0.50 #187: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11; #176 ), references = 1, size of lhs = 2:
% 0.18/0.50 P_c_0-{F}(V0), P_v_x-{F}(V1) | FALSE
% 0.18/0.50 (used 0 times, uses = {})
% 0.18/0.50
% 0.18/0.50 #199: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11; #188 ), references = 1, size of lhs = 1:
% 0.18/0.50 P_c_0-{F}(V0) | FALSE
% 0.18/0.50 (used 0 times, uses = {})
% 0.18/0.50
% 0.18/0.50 #201: exists( #13, #188 ), references = 1, size of lhs = 0:
% 0.18/0.50 FALSE | FALSE
% 0.18/0.50 (used 0 times, uses = {})
% 0.18/0.50
% 0.18/0.50 number of learnt formulas = 11
% 0.18/0.50
% 0.18/0.50
% 0.18/0.50 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.50
% 0.18/0.50 randbase = 1
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