TSTP Solution File: COM008+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : COM008+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Jul 23 05:59:16 EDT 2022
% Result : Theorem 0.69s 0.91s
% Output : Refutation 0.69s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : COM008+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.14/0.35 % Computer : n016.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri Jul 22 17:18:30 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.69/0.91 GeoParameters:
% 0.69/0.91
% 0.69/0.91 tptp_input = 1
% 0.69/0.91 tptp_output = 0
% 0.69/0.91 nonempty = 1
% 0.69/0.91 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.69/0.91 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.69/0.91
% 0.69/0.91
% 0.69/0.91 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.69/0.91 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.69/0.91
% 0.69/0.91 RuleSystem INPUT:
% 0.69/0.91
% 0.69/0.91 Initial Rules:
% 0.69/0.91 #0: input, references = 9, size of lhs = 4:
% 0.69/0.91 P_b-{F}(V0), P_c-{F}(V1), transitive_reflexive_rewrite-{F}(V0,V2), transitive_reflexive_rewrite-{F}(V1,V2) | goal-{T}()
% 0.69/0.91 (used 0 times, uses = {})
% 0.69/0.91
% 0.69/0.91 #1: input, references = 4, size of lhs = 3:
% 0.69/0.91 P_b-{F}(V0), P_c-{F}(V1), P_a-{F}(V2) | transitive_reflexive_rewrite-{T}(V2,V0)
% 0.69/0.91 (used 0 times, uses = {})
% 0.69/0.91
% 0.69/0.91 #2: input, references = 4, size of lhs = 3:
% 0.69/0.91 P_b-{F}(V0), P_c-{F}(V1), P_a-{F}(V2) | transitive_reflexive_rewrite-{T}(V2,V1)
% 0.69/0.91 (used 0 times, uses = {})
% 0.69/0.91
% 0.69/0.91 #3: input, references = 6, size of lhs = 4:
% 0.69/0.91 P_b-{F}(V0), P_c-{F}(V1), P_a-{F}(V2), #-{F} V3 | equalish-{T}(V3,V3)
% 0.69/0.91 (used 0 times, uses = {})
% 0.69/0.91
% 0.69/0.91 #4: input, references = 10, size of lhs = 4:
% 0.69/0.91 P_b-{F}(V0), P_c-{F}(V1), P_a-{F}(V2), equalish-{F}(V3,V4) | equalish-{T}(V4,V3)
% 0.69/0.91 (used 0 times, uses = {})
% 0.69/0.91
% 0.69/0.91 #5: input, references = 13, size of lhs = 4:
% 0.69/0.91 P_b-{F}(V0), P_c-{F}(V1), P_a-{F}(V2), equalish-{F}(V3,V4) | transitive_reflexive_rewrite-{T}(V3,V4)
% 0.69/0.91 (used 0 times, uses = {})
% 0.69/0.91
% 0.69/0.91 #6: input, references = 3, size of lhs = 4:
% 0.69/0.91 P_b-{F}(V0), P_c-{F}(V1), P_a-{F}(V2), rewrite-{F}(V3,V4) | transitive_reflexive_rewrite-{T}(V3,V4)
% 0.69/0.91 (used 0 times, uses = {})
% 0.69/0.91
% 0.69/0.91 #7: input, references = 13, size of lhs = 5:
% 0.69/0.91 P_b-{F}(V0), P_c-{F}(V1), P_a-{F}(V2), transitive_reflexive_rewrite-{F}(V3,V4), transitive_reflexive_rewrite-{F}(V5,V3) | transitive_reflexive_rewrite-{T}(V5,V4)
% 0.69/0.91 (used 0 times, uses = {})
% 0.69/0.91
% 0.69/0.91 #8: input, references = 7, size of lhs = 5:
% 0.69/0.91 P_b-{F}(V0), P_c-{F}(V1), P_a-{F}(V2), rewrite-{F}(V6,V3), rewrite-{F}(V6,V4) | EXISTS V5: pppp0-{T}(V3,V4,V5)
% 0.69/0.91 (used 0 times, uses = {})
% 0.69/0.91
% 0.69/0.91 #9: input, references = 7, size of lhs = 1:
% 0.69/0.91 pppp0-{F}(V0,V1,V2) | transitive_reflexive_rewrite-{T}(V1,V2)
% 0.69/0.91 (used 0 times, uses = {})
% 0.69/0.91
% 0.69/0.91 #10: input, references = 7, size of lhs = 1:
% 0.69/0.91 pppp0-{F}(V0,V1,V2) | transitive_reflexive_rewrite-{T}(V0,V2)
% 0.69/0.91 (used 0 times, uses = {})
% 0.69/0.91
% 0.69/0.91 #11: input, references = 6, size of lhs = 6:
% 0.69/0.91 P_b-{F}(V0), P_c-{F}(V1), P_a-{F}(V2), rewrite-{F}(V2,V3), transitive_reflexive_rewrite-{F}(V3,V4), transitive_reflexive_rewrite-{F}(V3,V5) | EXISTS V6: pppp1-{T}(V5,V4,V6)
% 0.69/0.91 (used 0 times, uses = {})
% 0.69/0.91
% 0.69/0.91 #12: input, references = 6, size of lhs = 1:
% 0.69/0.91 pppp1-{F}(V0,V1,V2) | transitive_reflexive_rewrite-{T}(V1,V2)
% 0.69/0.91 (used 0 times, uses = {})
% 0.69/0.91
% 0.69/0.91 #13: input, references = 6, size of lhs = 1:
% 0.69/0.91 pppp1-{F}(V0,V1,V2) | transitive_reflexive_rewrite-{T}(V0,V2)
% 0.69/0.91 (used 0 times, uses = {})
% 0.69/0.91
% 0.69/0.91 #14: input, references = 10, size of lhs = 4:
% 0.69/0.91 P_b-{F}(V0), P_c-{F}(V1), P_a-{F}(V2), transitive_reflexive_rewrite-{F}(V3,V4) | equalish-{T}(V3,V4), pppp3-{T}(V3,V4)
% 0.69/0.91 (used 0 times, uses = {})
% 0.69/0.91
% 0.69/0.91 #15: input, references = 6, size of lhs = 1:
% 0.69/0.91 pppp3-{F}(V0,V1) | EXISTS V2: pppp2-{T}(V0,V1,V2)
% 0.69/0.91 (used 0 times, uses = {})
% 0.69/0.91
% 0.69/0.91 #16: input, references = 6, size of lhs = 1:
% 0.69/0.91 pppp2-{F}(V0,V1,V2) | transitive_reflexive_rewrite-{T}(V2,V1)
% 0.69/0.91 (used 0 times, uses = {})
% 0.69/0.91
% 0.69/0.91 #17: input, references = 6, size of lhs = 1:
% 0.69/0.91 pppp2-{F}(V0,V1,V2) | rewrite-{T}(V0,V2)
% 0.69/0.91 (used 0 times, uses = {})
% 0.69/0.91
% 0.69/0.91 #18: input, references = 9, size of lhs = 4:
% 0.69/0.91 P_b-{F}(V0), P_c-{F}(V1), P_a-{F}(V2), goal-{F}() | FALSE
% 0.69/0.91 (used 0 times, uses = {})
% 0.69/0.91
% 0.69/0.91 #19: input, references = 4, size of lhs = 0:
% 0.69/0.91 FALSE | EXISTS V0: P_b-{T}(V0)
% 0.69/0.91 (used 0 times, uses = {})
% 0.69/0.91
% 0.69/0.91 #20: input, references = 4, size of lhs = 0:
% 0.69/0.91 FALSE | EXISTS V0: P_c-{T}(V0)
% 0.69/0.91 (used 0 times, uses = {})
% 0.69/0.91
% 0.69/0.91 #21: input, references = 5, size of lhs = 0:
% 0.69/0.91 FALSE | EXISTS V0: P_a-{T}(V0)
% 0.69/0.91 (used 0 times, uses = {})
% 0.69/0.91
% 0.69/0.91 number of initial rules = 22
% 0.69/0.91
% 0.69/0.91 Simplifiers:
% 0.69/0.91 #22: unsound, references = 3, size of lhs = 3:
% 0.69/0.91 P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 0.69/0.91 (used 0 times, uses = {})
% 0.69/0.91
% 0.69/0.91 #23: unsound, references = 3, size of lhs = 3:
% 0.69/0.91 P_c-{F}(V0), P_c-{F}(V1), V0 == V1 | FALSE
% 0.69/0.91 (used 0 times, uses = {})
% 0.69/0.91
% 0.69/0.91 #24: unsound, references = 3, size of lhs = 3:
% 0.69/0.91 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 0.69/0.91 (used 0 times, uses = {})
% 0.69/0.91
% 0.69/0.91 #25: unsound, references = 3, size of lhs = 3:
% 0.69/0.91 pppp0-{F}(V0,V1,V2), pppp0-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.69/0.91 (used 0 times, uses = {})
% 0.69/0.91
% 0.69/0.91 #26: unsound, references = 3, size of lhs = 3:
% 0.69/0.91 pppp1-{F}(V0,V1,V2), pppp1-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.69/0.91 (used 0 times, uses = {})
% 0.69/0.91
% 0.69/0.91 #27: unsound, references = 3, size of lhs = 3:
% 0.69/0.91 pppp2-{F}(V0,V1,V2), pppp2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.69/0.91 (used 0 times, uses = {})
% 0.69/0.91
% 0.69/0.91 number of simplifiers = 6
% 0.69/0.91
% 0.69/0.91 Learnt:
% 0.69/0.91 #40: mergings( V1 == V3, V3 == V5, V5 == V6, V2 == V4, V4 == V6, V6 == V7; #33 ), references = 1, size of lhs = 2:
% 0.69/0.91 P_b-{F}(V0), P_c-{F}(V0) | FALSE
% 0.69/0.91 (used 0 times, uses = {})
% 0.69/0.91
% 0.69/0.91 #68: mergings( V0 == V5, V5 == V8, V8 == V11, V11 == V4, V4 == V16, V1 == V6, V6 == V9, V9 == V12, V12 == V15, V15 == V17, V2 == V7, V7 == V10, V10 == V13, V13 == V18; #53 ), references = 1, size of lhs = 6:
% 0.69/0.91 P_b-{F}(V0), transitive_reflexive_rewrite-{F}(V1,V0), transitive_reflexive_rewrite-{F}(V1,V2), P_c-{F}(V3), transitive_reflexive_rewrite-{F}(V3,V2), P_a-{F}(V4) | pppp3-{T}(V1,V0)
% 0.69/0.91 (used 0 times, uses = {})
% 0.69/0.91
% 0.69/0.91 #90: mergings( V0 == V5, V5 == V8, V8 == V11, V11 == V14, V14 == V16, V1 == V6, V6 == V9, V9 == V12, V12 == V4, V4 == V17, V2 == V7, V7 == V10, V10 == V13, V13 == V18; #75 ), references = 1, size of lhs = 6:
% 0.69/0.91 P_b-{F}(V0), transitive_reflexive_rewrite-{F}(V0,V1), transitive_reflexive_rewrite-{F}(V2,V1), transitive_reflexive_rewrite-{F}(V2,V3), P_c-{F}(V3), P_a-{F}(V4) | pppp3-{T}(V2,V3)
% 0.69/0.91 (used 0 times, uses = {})
% 0.69/0.91
% 0.69/0.91 #138: mergings( V0 == V4, V4 == V7, V1 == V5, V5 == V8, V2 == V9; #132 ), references = 3, size of lhs = 6:
% 0.69/0.91 P_b-{F}(V0), P_c-{F}(V1), P_a-{F}(V2), rewrite-{F}(V2,V3), transitive_reflexive_rewrite-{F}(V3,V0), transitive_reflexive_rewrite-{F}(V3,V1) | FALSE
% 0.69/0.91 (used 0 times, uses = {})
% 0.69/0.91
% 0.69/0.91 #160: mergings( V0 == V5, V5 == V8, V8 == V11, V11 == V14, V14 == V17, V17 == V19, V1 == V6, V6 == V9, V9 == V12, V12 == V15, V15 == V18, V18 == V20, V2 == V7, V7 == V10, V10 == V13, V13 == V16, V16 == V21; #142 ), references = 1, size of lhs = 7:
% 0.69/0.91 P_b-{F}(V0), transitive_reflexive_rewrite-{F}(V1,V0), transitive_reflexive_rewrite-{F}(V1,V2), transitive_reflexive_rewrite-{F}(V2,V3), P_c-{F}(V3), P_a-{F}(V4), rewrite-{F}(V4,V2) | pppp3-{T}(V1,V2)
% 0.69/0.91 (used 0 times, uses = {})
% 0.69/0.91
% 0.69/0.91 #195: mergings( V0 == V7, V7 == V4, V4 == V11, V1 == V8, V8 == V10, V10 == V12, V2 == V9, V9 == V13; #186 ), references = 2, size of lhs = 6:
% 0.69/0.91 P_b-{F}(V0), rewrite-{F}(V1,V0), rewrite-{F}(V1,V2), P_c-{F}(V3), transitive_reflexive_rewrite-{F}(V3,V2), P_a-{F}(V4) | FALSE
% 0.69/0.91 (used 0 times, uses = {})
% 0.69/0.91
% 0.69/0.91 #226: mergings( V0 == V5, V5 == V8, V8 == V11, V11 == V3, V1 == V6, V6 == V9, V9 == V12, V12 == V14, V2 == V7, V7 == V10, V10 == V13, V13 == V15; #213 ), references = 1, size of lhs = 7:
% 0.69/0.91 P_b-{F}(V0), transitive_reflexive_rewrite-{F}(V0,V1), P_c-{F}(V2), P_a-{F}(V3), rewrite-{F}(V3,V4), transitive_reflexive_rewrite-{F}(V4,V2), transitive_reflexive_rewrite-{F}(V4,V1) | pppp3-{T}(V0,V1)
% 0.69/0.91 (used 0 times, uses = {})
% 0.69/0.91
% 0.69/0.91 #248: mergings( V0 == V5, V5 == V8, V8 == V11, V11 == V14, V14 == V17, V1 == V6, V6 == V9, V9 == V12, V12 == V15, V15 == V18, V2 == V7, V7 == V10, V10 == V13, V13 == V16, V16 == V19; #232 ), references = 1, size of lhs = 8:
% 0.69/0.91 P_b-{F}(V0), P_c-{F}(V1), P_a-{F}(V2), rewrite-{F}(V2,V3), transitive_reflexive_rewrite-{F}(V3,V0), transitive_reflexive_rewrite-{F}(V3,V4), transitive_reflexive_rewrite-{F}(V5,V4), transitive_reflexive_rewrite-{F}(V5,V1) | pppp3-{T}(V5,V4)
% 0.69/0.91 (used 0 times, uses = {})
% 0.69/0.91
% 0.69/0.91 #266: mergings( V0 == V5, V5 == V8, V8 == V11, V1 == V6, V6 == V9, V9 == V4, V2 == V7, V7 == V10, V10 == V13; #256 ), references = 1, size of lhs = 6:
% 0.69/0.91 P_b-{F}(V0), rewrite-{F}(V1,V0), rewrite-{F}(V1,V2), transitive_reflexive_rewrite-{F}(V2,V3), P_c-{F}(V3), P_a-{F}(V4) | pppp3-{T}(V2,V3)
% 0.69/0.91 (used 0 times, uses = {})
% 0.69/0.91
% 0.69/0.91 #321: mergings( V0 == V7, V7 == V10, V10 == V11, V1 == V4, V4 == V8, V8 == V12, V2 == V9, V9 == V13; #312 ), references = 3, size of lhs = 7:
% 0.69/0.91 P_b-{F}(V0), transitive_reflexive_rewrite-{F}(V0,V1), P_c-{F}(V2), P_a-{F}(V3), rewrite-{F}(V3,V4), transitive_reflexive_rewrite-{F}(V4,V2), transitive_reflexive_rewrite-{F}(V4,V1) | FALSE
% 0.69/0.91 (used 0 times, uses = {})
% 0.69/0.91
% 0.69/0.91 #336: mergings( V0 == V7, V7 == V4, V4 == V11, V11 == V14, V1 == V8, V8 == V10, V10 == V12, V12 == V15, V2 == V9, V9 == V13, V13 == V16; #324 ), references = 1, size of lhs = 7:
% 0.69/0.91 P_b-{F}(V0), rewrite-{F}(V1,V0), rewrite-{F}(V1,V2), transitive_reflexive_rewrite-{F}(V2,V3), P_c-{F}(V3), P_a-{F}(V4), rewrite-{F}(V4,V2) | FALSE
% 0.69/0.91 (used 0 times, uses = {})
% 0.69/0.91
% 0.69/0.91 #351: mergings( V3 == V6, V6 == V8, V8 == V9, V9 == V12, V4 == V7, V7 == V1, V1 == V10, V10 == V13, V5 == V0, V0 == V11, V11 == V14; #339 ), references = 1, size of lhs = 5:
% 0.69/0.91 P_b-{F}(V0), P_c-{F}(V1), P_a-{F}(V2), pppp3-{F}(V2,V1), rewrite-{F}(V2,V0) | FALSE
% 0.69/0.91 (used 0 times, uses = {})
% 0.69/0.91
% 0.69/0.91 #383: mergings( V0 == V7, V7 == V10, V1 == V8, V8 == V11, V2 == V9, V9 == V12; #376 ), references = 1, size of lhs = 8:
% 0.69/0.91 P_b-{F}(V0), transitive_reflexive_rewrite-{F}(V0,V1), rewrite-{F}(V2,V1), rewrite-{F}(V2,V3), P_c-{F}(V4), transitive_reflexive_rewrite-{F}(V3,V4), P_a-{F}(V5), rewrite-{F}(V5,V3) | FALSE
% 0.69/0.91 (used 0 times, uses = {})
% 0.69/0.91
% 0.69/0.91 #402: mergings( V0 == V5, V5 == V8, V8 == V11, V11 == V14, V14 == V4, V1 == V6, V6 == V9, V9 == V12, V12 == V15, V15 == V17, V2 == V7, V7 == V10, V10 == V13, V13 == V16, V16 == V18; #386 ), references = 1, size of lhs = 8:
% 0.69/0.91 P_b-{F}(V0), P_c-{F}(V1), P_a-{F}(V2), rewrite-{F}(V2,V3), transitive_reflexive_rewrite-{F}(V3,V1), rewrite-{F}(V4,V3), rewrite-{F}(V4,V5), transitive_reflexive_rewrite-{F}(V5,V0) | pppp3-{T}(V5,V0)
% 0.69/0.91 (used 0 times, uses = {})
% 0.69/0.91
% 0.69/0.91 #474: mergings( V0 == V5, V5 == V7, V1 == V8, V8 == V10, V2 == V9, V9 == V11; #467 ), references = 1, size of lhs = 9:
% 0.69/0.91 P_b-{F}(V0), P_c-{F}(V1), P_a-{F}(V2), rewrite-{F}(V2,V3), transitive_reflexive_rewrite-{F}(V3,V0), transitive_reflexive_rewrite-{F}(V3,V4), rewrite-{F}(V2,V5), transitive_reflexive_rewrite-{F}(V5,V1), transitive_reflexive_rewrite-{F}(V5,V4) | FALSE
% 0.69/0.91 (used 0 times, uses = {})
% 0.69/0.91
% 0.69/0.91 #487: mergings( V0 == V7, V7 == V10, V10 == V11, V1 == V8, V8 == V12, V12 == V14, V2 == V9, V9 == V13, V13 == V15; #477 ), references = 2, size of lhs = 9:
% 0.69/0.91 P_b-{F}(V0), P_c-{F}(V1), P_a-{F}(V2), rewrite-{F}(V2,V3), transitive_reflexive_rewrite-{F}(V3,V0), rewrite-{F}(V4,V3), rewrite-{F}(V4,V5), transitive_reflexive_rewrite-{F}(V5,V1), rewrite-{F}(V2,V5) | FALSE
% 0.69/0.91 (used 0 times, uses = {})
% 0.69/0.91
% 0.69/0.91 #492: exists( #15, #490 ), references = 1, size of lhs = 6:
% 0.69/0.91 P_b-{F}(V0), P_c-{F}(V1), P_a-{F}(V2), pppp3-{F}(V2,V1), rewrite-{F}(V2,V3), transitive_reflexive_rewrite-{F}(V3,V0) | FALSE
% 0.69/0.91 (used 0 times, uses = {})
% 0.69/0.91
% 0.69/0.91 #496: exists( #15, #494 ), references = 1, size of lhs = 5:
% 0.69/0.91 P_b-{F}(V0), P_c-{F}(V1), P_a-{F}(V2), pppp3-{F}(V2,V0), pppp3-{F}(V2,V1) | FALSE
% 0.69/0.91 (used 0 times, uses = {})
% 0.69/0.91
% 0.69/0.91 #536: mergings( V2 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V23, V23 == V25, V25 == V27, V27 == V29, V29 == V31, V1 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V24, V24 == V26, V26 == V28, V28 == V30, V30 == V32; #505 ), references = 1, size of lhs = 2:
% 0.69/0.91 P_b-{F}(V0), P_c-{F}(V1) | FALSE
% 0.69/0.91 (used 0 times, uses = {})
% 0.69/0.91
% 0.69/0.91 #553: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16; #537 ), references = 1, size of lhs = 1:
% 0.69/0.91 P_b-{F}(V0) | FALSE
% 0.69/0.91 (used 0 times, uses = {})
% 0.69/0.91
% 0.69/0.91 #555: exists( #19, #537 ), references = 1, size of lhs = 0:
% 0.69/0.91 FALSE | FALSE
% 0.69/0.91 (used 0 times, uses = {})
% 0.69/0.91
% 0.69/0.91 number of learnt formulas = 21
% 0.69/0.91
% 0.69/0.91
% 0.69/0.91 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.69/0.91
% 0.69/0.91 randbase = 1
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