TSTP Solution File: NUM459+2 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : NUM459+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n024.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 06:12:31 EDT 2022
% Result : Theorem 9.35s 9.52s
% Output : Refutation 9.35s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM459+2 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n024.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 : Fri Jul 22 23:46:41 EDT 2022
% 0.18/0.33 % CPUTime :
% 9.35/9.52 GeoParameters:
% 9.35/9.52
% 9.35/9.52 tptp_input = 1
% 9.35/9.52 tptp_output = 0
% 9.35/9.52 nonempty = 1
% 9.35/9.52 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.35/9.52 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 9.35/9.52
% 9.35/9.52
% 9.35/9.52 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.35/9.52 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.35/9.52
% 9.35/9.52 RuleSystem INPUT:
% 9.35/9.52
% 9.35/9.52 Initial Rules:
% 9.35/9.52 #0: input, references = 4, size of lhs = 1:
% 9.35/9.52 P_sz00-{F}(V0) | aNaturalNumber0-{T}(V0)
% 9.35/9.52 (used 0 times, uses = {})
% 9.35/9.52
% 9.35/9.52 #1: input, references = 3, size of lhs = 2:
% 9.35/9.52 P_sz00-{F}(V0), P_sz10-{F}(V1) | aNaturalNumber0-{T}(V1)
% 9.35/9.52 (used 0 times, uses = {})
% 9.35/9.52
% 9.35/9.52 #2: input, references = 3, size of lhs = 2:
% 9.35/9.52 P_sz00-{F}(V0), P_sz10-{F}(V0) | FALSE
% 9.35/9.52 (used 0 times, uses = {})
% 9.35/9.52
% 9.35/9.52 #3: input, references = 6, size of lhs = 5:
% 9.35/9.52 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V3,V2,V4), aNaturalNumber0-{F}(V3) | aNaturalNumber0-{T}(V4)
% 9.35/9.52 (used 0 times, uses = {})
% 9.35/9.52
% 9.35/9.52 #4: input, references = 3, size of lhs = 5:
% 9.35/9.52 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtasdt0-{F}(V3,V2,V4), aNaturalNumber0-{F}(V3) | aNaturalNumber0-{T}(V4)
% 9.35/9.52 (used 0 times, uses = {})
% 9.35/9.52
% 9.35/9.52 #5: input, references = 4, size of lhs = 7:
% 9.35/9.52 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V3,V2,V4), P_sdtpldt0-{F}(V2,V3,V5), aNaturalNumber0-{F}(V3), V4 == V5 | FALSE
% 9.35/9.52 (used 0 times, uses = {})
% 9.35/9.52
% 9.35/9.52 #6: input, references = 5, size of lhs = 10:
% 9.35/9.52 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V3,V2,V4), aNaturalNumber0-{F}(V3), P_sdtpldt0-{F}(V5,V3,V6), P_sdtpldt0-{F}(V6,V2,V7), P_sdtpldt0-{F}(V5,V4,V8), aNaturalNumber0-{F}(V5), V7 == V8 | FALSE
% 9.35/9.52 (used 0 times, uses = {})
% 9.35/9.52
% 9.35/9.52 #7: input, references = 4, size of lhs = 6:
% 9.35/9.52 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtpldt0-{F}(V2,V0,V3), P_sdtpldt0-{F}(V0,V2,V4), aNaturalNumber0-{F}(V2), V3 == V2 | FALSE
% 9.35/9.52 (used 0 times, uses = {})
% 9.35/9.52
% 9.35/9.52 #8: input, references = 3, size of lhs = 6:
% 9.35/9.52 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtpldt0-{F}(V2,V0,V3), P_sdtpldt0-{F}(V0,V2,V4), aNaturalNumber0-{F}(V2), V2 == V4 | FALSE
% 9.35/9.52 (used 0 times, uses = {})
% 9.35/9.52
% 9.35/9.52 #9: input, references = 4, size of lhs = 7:
% 9.35/9.52 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtasdt0-{F}(V3,V2,V4), P_sdtasdt0-{F}(V2,V3,V5), aNaturalNumber0-{F}(V3), V4 == V5 | FALSE
% 9.35/9.52 (used 0 times, uses = {})
% 9.35/9.52
% 9.35/9.52 #10: input, references = 3, size of lhs = 10:
% 9.35/9.52 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtasdt0-{F}(V3,V2,V4), aNaturalNumber0-{F}(V3), P_sdtasdt0-{F}(V5,V3,V6), P_sdtasdt0-{F}(V6,V2,V7), P_sdtasdt0-{F}(V5,V4,V8), aNaturalNumber0-{F}(V5), V7 == V8 | FALSE
% 9.35/9.52 (used 0 times, uses = {})
% 9.35/9.52
% 9.35/9.52 #11: input, references = 4, size of lhs = 6:
% 9.35/9.52 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtasdt0-{F}(V2,V1,V3), P_sdtasdt0-{F}(V1,V2,V4), aNaturalNumber0-{F}(V2), V3 == V2 | FALSE
% 9.35/9.52 (used 0 times, uses = {})
% 9.35/9.52
% 9.35/9.52 #12: input, references = 3, size of lhs = 6:
% 9.35/9.52 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtasdt0-{F}(V2,V1,V3), P_sdtasdt0-{F}(V1,V2,V4), aNaturalNumber0-{F}(V2), V2 == V4 | FALSE
% 9.35/9.52 (used 0 times, uses = {})
% 9.35/9.52
% 9.35/9.52 #13: input, references = 5, size of lhs = 6:
% 9.35/9.52 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtasdt0-{F}(V2,V0,V3), P_sdtasdt0-{F}(V0,V2,V4), aNaturalNumber0-{F}(V2), V3 == V0 | FALSE
% 9.35/9.52 (used 0 times, uses = {})
% 9.35/9.52
% 9.35/9.52 #14: input, references = 3, size of lhs = 6:
% 9.35/9.52 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtasdt0-{F}(V2,V0,V3), P_sdtasdt0-{F}(V0,V2,V4), aNaturalNumber0-{F}(V2), V0 == V4 | FALSE
% 9.35/9.52 (used 0 times, uses = {})
% 9.35/9.52
% 9.35/9.52 #15: input, references = 5, size of lhs = 15:
% 9.35/9.52 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V3,V2,V4), aNaturalNumber0-{F}(V3), P_sdtasdt0-{F}(V5,V4,V6), P_sdtasdt0-{F}(V5,V3,V7), P_sdtasdt0-{F}(V5,V2,V8), P_sdtpldt0-{F}(V7,V8,V9), P_sdtasdt0-{F}(V4,V5,V10), P_sdtasdt0-{F}(V3,V5,V11), P_sdtasdt0-{F}(V2,V5,V12), P_sdtpldt0-{F}(V11,V12,V13), aNaturalNumber0-{F}(V5), V6 == V9 | FALSE
% 9.35/9.52 (used 0 times, uses = {})
% 9.35/9.52
% 9.35/9.52 #16: input, references = 5, size of lhs = 15:
% 9.35/9.52 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V3,V2,V4), aNaturalNumber0-{F}(V3), P_sdtasdt0-{F}(V5,V4,V6), P_sdtasdt0-{F}(V5,V3,V7), P_sdtasdt0-{F}(V5,V2,V8), P_sdtpldt0-{F}(V7,V8,V9), P_sdtasdt0-{F}(V4,V5,V10), P_sdtasdt0-{F}(V3,V5,V11), P_sdtasdt0-{F}(V2,V5,V12), P_sdtpldt0-{F}(V11,V12,V13), aNaturalNumber0-{F}(V5), V10 == V13 | FALSE
% 9.35/9.52 (used 0 times, uses = {})
% 9.35/9.52
% 9.35/9.52 #17: input, references = 4, size of lhs = 10:
% 9.35/9.52 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), P_sdtpldt0-{F}(V4,V3,V6), P_sdtpldt0-{F}(V4,V2,V6), P_sdtpldt0-{F}(V3,V4,V7), P_sdtpldt0-{F}(V2,V4,V8), aNaturalNumber0-{F}(V4), V3 == V2 | FALSE
% 9.35/9.52 (used 0 times, uses = {})
% 9.35/9.52
% 9.35/9.52 #18: input, references = 3, size of lhs = 10:
% 9.35/9.52 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), P_sdtpldt0-{F}(V4,V3,V5), P_sdtpldt0-{F}(V4,V2,V6), P_sdtpldt0-{F}(V3,V4,V8), P_sdtpldt0-{F}(V2,V4,V8), aNaturalNumber0-{F}(V4), V3 == V2 | FALSE
% 9.35/9.52 (used 0 times, uses = {})
% 9.35/9.52
% 9.35/9.52 #19: input, references = 4, size of lhs = 11:
% 9.35/9.52 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtasdt0-{F}(V2,V3,V4), P_sdtasdt0-{F}(V3,V2,V5), aNaturalNumber0-{F}(V3), P_sdtasdt0-{F}(V2,V6,V4), P_sdtasdt0-{F}(V6,V2,V8), aNaturalNumber0-{F}(V6), V2 == V0, V6 == V3 | FALSE
% 9.35/9.52 (used 0 times, uses = {})
% 9.35/9.52
% 9.35/9.52 #20: input, references = 4, size of lhs = 11:
% 9.35/9.52 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtasdt0-{F}(V2,V3,V4), P_sdtasdt0-{F}(V3,V2,V5), aNaturalNumber0-{F}(V3), P_sdtasdt0-{F}(V2,V6,V7), P_sdtasdt0-{F}(V6,V2,V5), aNaturalNumber0-{F}(V6), V2 == V0, V6 == V3 | FALSE
% 9.35/9.52 (used 0 times, uses = {})
% 9.35/9.52
% 9.35/9.52 #21: input, references = 4, size of lhs = 6:
% 9.35/9.52 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V3,V2,V0), aNaturalNumber0-{F}(V3), V3 == V0 | FALSE
% 9.35/9.52 (used 0 times, uses = {})
% 9.35/9.52
% 9.35/9.52 #22: input, references = 4, size of lhs = 6:
% 9.35/9.52 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V3,V2,V0), aNaturalNumber0-{F}(V3), V2 == V0 | FALSE
% 9.35/9.52 (used 0 times, uses = {})
% 9.35/9.52
% 9.35/9.52 #23: input, references = 3, size of lhs = 7:
% 9.35/9.52 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtasdt0-{F}(V3,V2,V0), aNaturalNumber0-{F}(V3), V2 == V0, V3 == V0 | FALSE
% 9.35/9.52 (used 0 times, uses = {})
% 9.35/9.52
% 9.35/9.52 #24: input, references = 7, size of lhs = 5:
% 9.35/9.52 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), sdtlseqdt0-{F}(V3,V2) | pppp0-{T}(V3,V2)
% 9.35/9.52 (used 0 times, uses = {})
% 9.35/9.52
% 9.35/9.52 #25: input, references = 3, size of lhs = 5:
% 9.35/9.52 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), pppp0-{F}(V3,V2) | sdtlseqdt0-{T}(V3,V2)
% 9.35/9.52 (used 0 times, uses = {})
% 9.35/9.52
% 9.35/9.52 #26: input, references = 6, size of lhs = 3:
% 9.35/9.52 P_sz00-{F}(V0), P_sz10-{F}(V1), pppp0-{F}(V2,V3) | EXISTS V4: pppp2-{T}(V2,V3,V4)
% 9.35/9.52 (used 0 times, uses = {})
% 9.35/9.52
% 9.35/9.52 #27: input, references = 3, size of lhs = 4:
% 9.35/9.52 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtpldt0-{F}(V2,V4,V3), aNaturalNumber0-{F}(V4) | pppp0-{T}(V2,V3)
% 9.35/9.52 (used 0 times, uses = {})
% 9.35/9.52
% 9.35/9.52 #28: input, references = 5, size of lhs = 3:
% 9.35/9.52 pppp2-{F}(V0,V1,V2), P_sdtpldt0-{F}(V0,V2,V3), V3 == V1 | FALSE
% 9.35/9.52 (used 0 times, uses = {})
% 9.35/9.52
% 9.35/9.52 #29: input, references = 9, size of lhs = 2:
% 9.35/9.52 pppp2-{F}(V0,V1,V2), P_sdtpldt0-{F}(V0,V2,V3) | aNaturalNumber0-{T}(V2)
% 9.35/9.52 (used 0 times, uses = {})
% 9.35/9.52
% 9.35/9.52 #30: input, references = 3, size of lhs = 6:
% 9.35/9.52 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtmndt0-{F}(V2,V3,V4), aNaturalNumber0-{F}(V3), sdtlseqdt0-{F}(V3,V2) | pppp1-{T}(V3,V2,V4)
% 9.35/9.52 (used 0 times, uses = {})
% 9.35/9.52
% 9.35/9.52 #31: input, references = 5, size of lhs = 8:
% 9.35/9.52 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtmndt0-{F}(V2,V3,V4), aNaturalNumber0-{F}(V3), sdtlseqdt0-{F}(V3,V2), pppp1-{F}(V3,V2,V5), V5 == V4 | FALSE
% 9.35/9.52 (used 0 times, uses = {})
% 9.35/9.52
% 9.35/9.52 #32: input, references = 3, size of lhs = 4:
% 9.35/9.52 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtpldt0-{F}(V2,V4,V5), pppp1-{F}(V2,V3,V4) | aNaturalNumber0-{T}(V4)
% 9.35/9.52 (used 0 times, uses = {})
% 9.35/9.52
% 9.35/9.52 #33: input, references = 3, size of lhs = 5:
% 9.35/9.52 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtpldt0-{F}(V2,V4,V5), pppp1-{F}(V2,V3,V4), V5 == V3 | FALSE
% 9.35/9.52 (used 0 times, uses = {})
% 9.35/9.52
% 9.35/9.52 #34: input, references = 4, size of lhs = 4:
% 9.35/9.52 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtpldt0-{F}(V2,V4,V3), aNaturalNumber0-{F}(V4) | pppp1-{T}(V2,V3,V4)
% 9.35/9.52 (used 0 times, uses = {})
% 9.35/9.52
% 9.35/9.52 #35: input, references = 3, size of lhs = 3:
% 9.35/9.52 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2) | sdtlseqdt0-{T}(V2,V2)
% 9.35/9.52 (used 0 times, uses = {})
% 9.35/9.52
% 9.35/9.52 #36: input, references = 4, size of lhs = 4:
% 9.35/9.52 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xm-{F}(V2), P_xn-{F}(V3) | aNaturalNumber0-{T}(V2)
% 9.35/9.52 (used 0 times, uses = {})
% 9.35/9.52
% 9.35/9.52 #37: input, references = 5, size of lhs = 4:
% 9.35/9.52 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xm-{F}(V2), P_xn-{F}(V3) | aNaturalNumber0-{T}(V3)
% 9.35/9.52 (used 0 times, uses = {})
% 9.35/9.52
% 9.35/9.52 #38: input, references = 6, size of lhs = 4:
% 9.35/9.52 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xm-{F}(V2), P_xn-{F}(V3) | pppp5-{T}(V2,V3)
% 9.35/9.52 (used 0 times, uses = {})
% 9.35/9.52
% 9.35/9.52 #39: input, references = 4, size of lhs = 1:
% 9.35/9.52 pppp5-{F}(V1,V1) | FALSE
% 9.35/9.52 (used 0 times, uses = {})
% 9.35/9.52
% 9.35/9.52 #40: input, references = 5, size of lhs = 1:
% 9.35/9.52 pppp5-{F}(V0,V1) | sdtlseqdt0-{T}(V1,V0)
% 9.35/9.52 (used 0 times, uses = {})
% 9.35/9.52
% 9.35/9.52 #41: input, references = 3, size of lhs = 1:
% 9.35/9.52 pppp5-{F}(V0,V1) | EXISTS V2: pppp4-{T}(V2,V0,V1)
% 9.35/9.52 (used 0 times, uses = {})
% 9.35/9.52
% 9.35/9.52 #42: input, references = 5, size of lhs = 1:
% 9.35/9.52 pppp5-{F}(V0,V1) | sdtlseqdt0-{T}(V0,V1)
% 9.35/9.52 (used 0 times, uses = {})
% 9.35/9.52
% 9.35/9.52 #43: input, references = 3, size of lhs = 1:
% 9.35/9.52 pppp5-{F}(V0,V1) | EXISTS V2: pppp3-{T}(V2,V0,V1)
% 9.35/9.52 (used 0 times, uses = {})
% 9.35/9.52
% 9.35/9.52 #44: input, references = 3, size of lhs = 3:
% 9.35/9.52 pppp4-{F}(V0,V1,V2), P_sdtpldt0-{F}(V2,V0,V3), V3 == V1 | FALSE
% 9.35/9.52 (used 0 times, uses = {})
% 9.35/9.52
% 9.35/9.52 #45: input, references = 3, size of lhs = 2:
% 9.35/9.52 pppp4-{F}(V0,V1,V2), P_sdtpldt0-{F}(V2,V0,V3) | aNaturalNumber0-{T}(V0)
% 9.35/9.52 (used 0 times, uses = {})
% 9.35/9.52
% 9.35/9.52 #46: input, references = 3, size of lhs = 3:
% 9.35/9.52 pppp3-{F}(V0,V1,V2), P_sdtpldt0-{F}(V1,V0,V3), V3 == V2 | FALSE
% 9.35/9.52 (used 0 times, uses = {})
% 9.35/9.52
% 9.35/9.52 #47: input, references = 3, size of lhs = 2:
% 9.35/9.52 pppp3-{F}(V0,V1,V2), P_sdtpldt0-{F}(V1,V0,V3) | aNaturalNumber0-{T}(V0)
% 9.35/9.52 (used 0 times, uses = {})
% 9.35/9.52
% 9.35/9.52 #48: input, references = 4, size of lhs = 0:
% 9.35/9.52 FALSE | EXISTS V0: P_sz00-{T}(V0)
% 9.35/9.52 (used 0 times, uses = {})
% 9.35/9.52
% 9.35/9.52 #49: input, references = 4, size of lhs = 0:
% 9.35/9.52 FALSE | EXISTS V0: P_sz10-{T}(V0)
% 9.35/9.52 (used 0 times, uses = {})
% 9.35/9.52
% 9.35/9.52 #50: input, references = 10, size of lhs = 2:
% 9.35/9.52 #-{F} V0, #-{F} V1 | EXISTS V2: P_sdtpldt0-{T}(V0,V1,V2)
% 9.35/9.52 (used 0 times, uses = {})
% 9.35/9.52
% 9.35/9.52 #51: input, references = 8, size of lhs = 2:
% 9.35/9.52 #-{F} V0, #-{F} V1 | EXISTS V2: P_sdtasdt0-{T}(V0,V1,V2)
% 9.35/9.52 (used 0 times, uses = {})
% 9.35/9.52
% 9.35/9.52 #52: input, references = 6, size of lhs = 2:
% 9.35/9.52 #-{F} V0, #-{F} V1 | EXISTS V2: P_sdtmndt0-{T}(V0,V1,V2)
% 9.35/9.52 (used 0 times, uses = {})
% 9.35/9.52
% 9.35/9.52 #53: input, references = 4, size of lhs = 0:
% 9.35/9.52 FALSE | EXISTS V0: P_xm-{T}(V0)
% 9.35/9.52 (used 0 times, uses = {})
% 9.35/9.52
% 9.35/9.52 #54: input, references = 5, size of lhs = 0:
% 9.35/9.52 FALSE | EXISTS V0: P_xn-{T}(V0)
% 9.35/9.52 (used 0 times, uses = {})
% 9.35/9.52
% 9.35/9.52 number of initial rules = 55
% 9.35/9.52
% 9.35/9.52 Simplifiers:
% 9.35/9.52 #55: unsound, references = 3, size of lhs = 3:
% 9.35/9.52 P_sz00-{F}(V0), P_sz00-{F}(V1), V0 == V1 | FALSE
% 9.35/9.52 (used 0 times, uses = {})
% 9.35/9.52
% 9.35/9.52 #56: unsound, references = 3, size of lhs = 3:
% 9.35/9.52 P_sz10-{F}(V0), P_sz10-{F}(V1), V0 == V1 | FALSE
% 9.35/9.52 (used 0 times, uses = {})
% 9.35/9.52
% 9.35/9.52 #57: unsound, references = 3, size of lhs = 3:
% 9.35/9.52 P_sdtpldt0-{F}(V0,V1,V2), P_sdtpldt0-{F}(V0,V1,V5), V2 == V5 | FALSE
% 9.35/9.52 (used 0 times, uses = {})
% 9.35/9.52
% 9.35/9.52 #58: unsound, references = 3, size of lhs = 3:
% 9.35/9.52 P_sdtasdt0-{F}(V0,V1,V2), P_sdtasdt0-{F}(V0,V1,V5), V2 == V5 | FALSE
% 9.35/9.52 (used 0 times, uses = {})
% 9.35/9.52
% 9.35/9.52 #59: unsound, references = 3, size of lhs = 3:
% 9.35/9.52 P_sdtmndt0-{F}(V0,V1,V2), P_sdtmndt0-{F}(V0,V1,V5), V2 == V5 | FALSE
% 9.35/9.52 (used 0 times, uses = {})
% 9.35/9.52
% 9.35/9.52 #60: unsound, references = 3, size of lhs = 3:
% 9.35/9.52 P_xm-{F}(V0), P_xm-{F}(V1), V0 == V1 | FALSE
% 9.35/9.52 (used 0 times, uses = {})
% 9.35/9.52
% 9.35/9.52 #61: unsound, references = 3, size of lhs = 3:
% 9.35/9.52 P_xn-{F}(V0), P_xn-{F}(V1), V0 == V1 | FALSE
% 9.35/9.52 (used 0 times, uses = {})
% 9.35/9.52
% 9.35/9.52 #62: unsound, references = 3, size of lhs = 3:
% 9.35/9.52 pppp2-{F}(V0,V1,V2), pppp2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 9.35/9.52 (used 0 times, uses = {})
% 9.35/9.52
% 9.35/9.52 #63: unsound, references = 3, size of lhs = 3:
% 9.35/9.52 pppp3-{F}(V0,V1,V2), pppp3-{F}(V3,V1,V2), V0 == V3 | FALSE
% 9.35/9.52 (used 0 times, uses = {})
% 9.35/9.52
% 9.35/9.52 #64: unsound, references = 3, size of lhs = 3:
% 9.35/9.52 pppp3-{F}(V0,V1,V2), pppp3-{F}(V3,V4,V5), V1 == V4 | FALSE
% 9.35/9.52 (used 0 times, uses = {})
% 9.35/9.52
% 9.35/9.52 #65: unsound, references = 3, size of lhs = 3:
% 9.35/9.52 pppp3-{F}(V0,V1,V2), pppp3-{F}(V3,V4,V5), V2 == V5 | FALSE
% 9.35/9.52 (used 0 times, uses = {})
% 9.35/9.52
% 9.35/9.52 #66: unsound, references = 3, size of lhs = 3:
% 9.35/9.52 pppp4-{F}(V0,V1,V2), pppp4-{F}(V3,V1,V2), V0 == V3 | FALSE
% 9.35/9.52 (used 0 times, uses = {})
% 9.35/9.52
% 9.35/9.52 #67: unsound, references = 3, size of lhs = 3:
% 9.35/9.52 pppp4-{F}(V0,V1,V2), pppp4-{F}(V3,V4,V5), V1 == V4 | FALSE
% 9.35/9.52 (used 0 times, uses = {})
% 9.35/9.52
% 9.35/9.52 #68: unsound, references = 3, size of lhs = 3:
% 9.35/9.52 pppp4-{F}(V0,V1,V2), pppp4-{F}(V3,V4,V5), V2 == V5 | FALSE
% 9.35/9.52 (used 0 times, uses = {})
% 9.35/9.52
% 9.35/9.52 #69: unsound, references = 3, size of lhs = 3:
% 9.35/9.52 pppp5-{F}(V0,V1), pppp5-{F}(V2,V3), V0 == V2 | FALSE
% 9.35/9.52 (used 0 times, uses = {})
% 9.35/9.52
% 9.35/9.52 #70: unsound, references = 3, size of lhs = 3:
% 9.35/9.52 pppp5-{F}(V0,V1), pppp5-{F}(V2,V3), V1 == V3 | FALSE
% 9.35/9.52 (used 0 times, uses = {})
% 9.35/9.52
% 9.35/9.52 number of simplifiers = 16
% 9.35/9.52
% 9.35/9.52 Learnt:
% 9.35/9.52 #76: exists( #50, #7 ), references = 1, size of lhs = 5:
% 9.35/9.52 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V2,V0,V3), V3 == V2 | FALSE
% 9.35/9.52 (used 0 times, uses = {})
% 9.35/9.52
% 9.35/9.52 #77: exists( #50, #17 ), references = 4, size of lhs = 9:
% 9.35/9.52 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), V3 == V2, aNaturalNumber0-{F}(V4), P_sdtpldt0-{F}(V4,V3,V5), P_sdtpldt0-{F}(V4,V2,V5), P_sdtpldt0-{F}(V3,V4,V6) | FALSE
% 9.35/9.52 (used 0 times, uses = {})
% 9.35/9.52
% 9.35/9.52 #78: exists( #50, #5 ), references = 4, size of lhs = 5:
% 9.35/9.52 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), P_sdtpldt0-{F}(V3,V2,V4) | P_sdtpldt0-{T}(V2,V3,V4)
% 9.35/9.52 (used 0 times, uses = {})
% 9.35/9.52
% 9.35/9.52 #80: exists( #50, #73 ), references = 4, size of lhs = 3:
% 9.35/9.52 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2) | P_sdtpldt0-{T}(V2,V0,V2)
% 9.35/9.52 (used 0 times, uses = {})
% 9.35/9.52
% 9.35/9.52 #83: exists( #51, #13 ), references = 1, size of lhs = 3:
% 9.35/9.52 P_sz00-{F}(V0), aNaturalNumber0-{F}(V0), P_sz10-{F}(V1) | P_sdtasdt0-{T}(V0,V0,V0)
% 9.35/9.52 (used 0 times, uses = {})
% 9.35/9.52
% 9.35/9.52 #86: exists( #52, #31 ), references = 1, size of lhs = 6:
% 9.35/9.52 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), sdtlseqdt0-{F}(V3,V2), pppp1-{F}(V3,V2,V4) | P_sdtmndt0-{T}(V2,V3,V4)
% 9.35/9.52 (used 0 times, uses = {})
% 9.35/9.52
% 9.35/9.52 #89: exists( #51, #13 ), references = 1, size of lhs = 5:
% 9.35/9.52 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtasdt0-{F}(V2,V0,V3), V3 == V0 | FALSE
% 9.35/9.52 (used 0 times, uses = {})
% 9.35/9.52
% 9.35/9.52 #90: exists( #51, #9 ), references = 6, size of lhs = 5:
% 9.35/9.52 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), P_sdtasdt0-{F}(V3,V2,V4) | P_sdtasdt0-{T}(V2,V3,V4)
% 9.35/9.52 (used 0 times, uses = {})
% 9.35/9.52
% 9.35/9.52 #92: exists( #51, #87 ), references = 1, size of lhs = 3:
% 9.35/9.52 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2) | P_sdtasdt0-{T}(V2,V0,V0)
% 9.35/9.52 (used 0 times, uses = {})
% 9.35/9.52
% 9.35/9.52 #104: mergings( V3 == V5, V4 == V1; #100 ), references = 1, size of lhs = 4:
% 9.35/9.52 aNaturalNumber0-{F}(V0), P_sz10-{F}(V0), P_sz00-{F}(V1), aNaturalNumber0-{F}(V2) | P_sdtasdt0-{T}(V2,V0,V2)
% 9.35/9.52 (used 0 times, uses = {})
% 9.35/9.52
% 9.35/9.52 #107: exists( #50, #6 ), references = 2, size of lhs = 8:
% 9.35/9.52 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), P_sdtpldt0-{F}(V3,V2,V4), aNaturalNumber0-{F}(V5), P_sdtpldt0-{F}(V5,V3,V6), P_sdtpldt0-{F}(V6,V2,V7) | P_sdtpldt0-{T}(V5,V4,V7)
% 9.35/9.52 (used 0 times, uses = {})
% 9.35/9.52
% 9.35/9.52 #111: exists( #50, #15 ), references = 1, size of lhs = 12:
% 9.35/9.52 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), P_sdtpldt0-{F}(V3,V2,V4), aNaturalNumber0-{F}(V5), P_sdtasdt0-{F}(V5,V4,V6), P_sdtasdt0-{F}(V5,V3,V7), P_sdtasdt0-{F}(V3,V5,V7), P_sdtasdt0-{F}(V5,V2,V8), P_sdtasdt0-{F}(V2,V5,V8), P_sdtasdt0-{F}(V4,V5,V9) | P_sdtpldt0-{T}(V7,V8,V6)
% 9.35/9.52 (used 0 times, uses = {})
% 9.35/9.52
% 9.35/9.52 #112: exists( #50, #16 ), references = 1, size of lhs = 12:
% 9.35/9.52 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), P_sdtpldt0-{F}(V3,V2,V4), aNaturalNumber0-{F}(V5), P_sdtasdt0-{F}(V5,V4,V6), P_sdtasdt0-{F}(V5,V3,V7), P_sdtasdt0-{F}(V3,V5,V7), P_sdtasdt0-{F}(V5,V2,V8), P_sdtasdt0-{F}(V2,V5,V8), P_sdtasdt0-{F}(V4,V5,V9) | P_sdtpldt0-{T}(V7,V8,V9)
% 9.35/9.52 (used 0 times, uses = {})
% 9.35/9.52
% 9.35/9.52 #122: mergings( V3 == V5, V4 == V6; #118 ), references = 3, size of lhs = 13:
% 9.35/9.52 aNaturalNumber0-{F}(V0), P_sz00-{F}(V1), P_sz10-{F}(V2), aNaturalNumber0-{F}(V3), aNaturalNumber0-{F}(V4), P_sdtpldt0-{F}(V4,V3,V0), aNaturalNumber0-{F}(V5), P_sdtasdt0-{F}(V5,V4,V6), P_sdtasdt0-{F}(V5,V3,V7), P_sdtpldt0-{F}(V6,V7,V8), P_sdtasdt0-{F}(V4,V5,V9), P_sdtasdt0-{F}(V3,V5,V10), P_sdtpldt0-{F}(V9,V10,V11) | P_sdtasdt0-{T}(V5,V0,V8)
% 9.35/9.52 (used 0 times, uses = {})
% 9.35/9.52
% 9.35/9.52 #125: mergings( V3 == V5, V4 == V6; #119 ), references = 1, size of lhs = 13:
% 9.35/9.52 aNaturalNumber0-{F}(V0), P_sz00-{F}(V1), P_sz10-{F}(V2), aNaturalNumber0-{F}(V3), aNaturalNumber0-{F}(V4), P_sdtpldt0-{F}(V4,V3,V0), aNaturalNumber0-{F}(V5), P_sdtasdt0-{F}(V5,V4,V6), P_sdtasdt0-{F}(V5,V3,V7), P_sdtpldt0-{F}(V6,V7,V8), P_sdtasdt0-{F}(V4,V5,V9), P_sdtasdt0-{F}(V3,V5,V10), P_sdtpldt0-{F}(V9,V10,V11) | P_sdtasdt0-{T}(V5,V0,V11)
% 9.35/9.52 (used 0 times, uses = {})
% 9.35/9.52
% 9.35/9.52 #127: exists( #50, #28 ), references = 7, size of lhs = 1:
% 9.35/9.52 pppp2-{F}(V0,V1,V2) | P_sdtpldt0-{T}(V0,V2,V1)
% 9.35/9.52 (used 0 times, uses = {})
% 9.35/9.52
% 9.35/9.52 #134: mergings( V0 == V5, V1 == V6; #130 ), references = 2, size of lhs = 10:
% 9.35/9.52 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), V3 == V2, aNaturalNumber0-{F}(V4), P_sdtpldt0-{F}(V4,V3,V5), pppp2-{F}(V4,V5,V2), P_sdtpldt0-{F}(V3,V4,V6), pppp0-{F}(V7,V8) | FALSE
% 9.35/9.52 (used 0 times, uses = {})
% 9.35/9.52
% 9.35/9.52 #137: mergings( V0 == V5, V1 == V6; #131 ), references = 2, size of lhs = 11:
% 9.35/9.52 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), pppp2-{F}(V3,V4,V2), aNaturalNumber0-{F}(V5), P_sdtpldt0-{F}(V5,V3,V6), P_sdtpldt0-{F}(V6,V2,V7), P_sdtpldt0-{F}(V5,V4,V8), V7 == V8, pppp0-{F}(V9,V10) | FALSE
% 9.35/9.52 (used 0 times, uses = {})
% 9.35/9.52
% 9.35/9.52 #149: mergings( V0 == V3, V1 == V5; #144 ), references = 1, size of lhs = 4:
% 9.35/9.52 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), pppp0-{F}(V2,V0) | pppp2-{T}(V2,V0,V0)
% 9.35/9.52 (used 0 times, uses = {})
% 9.35/9.52
% 9.35/9.52 #152: mergings( V0 == V5, V1 == V6; #145 ), references = 1, size of lhs = 7:
% 9.35/9.52 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), pppp0-{F}(V3,V4), P_sdtpldt0-{F}(V3,V2,V4), P_sdtpldt0-{F}(V2,V3,V5) | pppp2-{T}(V3,V4,V2)
% 9.35/9.52 (used 0 times, uses = {})
% 9.35/9.52
% 9.35/9.52 #155: mergings( V0 == V5, V1 == V6; #146 ), references = 1, size of lhs = 8:
% 9.35/9.52 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), pppp0-{F}(V3,V4), P_sdtpldt0-{F}(V3,V2,V4), P_sdtpldt0-{F}(V2,V3,V5), pppp0-{F}(V6,V7) | pppp2-{T}(V3,V4,V2)
% 9.35/9.52 (used 0 times, uses = {})
% 9.35/9.52
% 9.35/9.52 #166: mergings( V3 == V5, V5 == V7, V7 == V9, V4 == V6, V6 == V8, V8 == V10; #159 ), references = 2, size of lhs = 10:
% 9.35/9.52 aNaturalNumber0-{F}(V0), aNaturalNumber0-{F}(V1), P_sz00-{F}(V2), P_sz10-{F}(V3), aNaturalNumber0-{F}(V4), aNaturalNumber0-{F}(V5), P_sdtpldt0-{F}(V5,V1,V6), P_sdtpldt0-{F}(V6,V0,V7), P_sdtpldt0-{F}(V5,V4,V7), P_sdtpldt0-{F}(V4,V5,V8) | P_sdtpldt0-{T}(V0,V1,V4)
% 9.35/9.52 (used 0 times, uses = {})
% 9.35/9.52
% 9.35/9.52 #185: mergings( V0 == V5, V5 == V7, V1 == V6, V6 == V8; #180 ), references = 5, size of lhs = 7:
% 9.35/9.52 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), pppp0-{F}(V3,V2), sdtlseqdt0-{F}(V3,V2), P_sdtmndt0-{F}(V2,V3,V4) | pppp2-{T}(V3,V2,V4)
% 9.35/9.52 (used 0 times, uses = {})
% 9.35/9.52
% 9.35/9.52 #217: mergings( V3 == V5, V5 == V7, V4 == V6, V6 == V10, V8 == V1; #210 ), references = 2, size of lhs = 12:
% 9.35/9.52 aNaturalNumber0-{F}(V0), aNaturalNumber0-{F}(V1), P_sz00-{F}(V1), aNaturalNumber0-{F}(V2), pppp0-{F}(V2,V0), sdtlseqdt0-{F}(V2,V0), P_sdtpldt0-{F}(V2,V1,V2), P_sdtpldt0-{F}(V1,V2,V3), P_sz10-{F}(V4), aNaturalNumber0-{F}(V5), V5 == V1, P_sdtpldt0-{F}(V0,V5,V2) | FALSE
% 9.35/9.52 (used 0 times, uses = {})
% 9.35/9.52
% 9.35/9.52 #236: mergings( V3 == V5, V5 == V7, V7 == V9, V4 == V6, V6 == V8, V8 == V10; #228 ), references = 1, size of lhs = 15:
% 9.35/9.52 aNaturalNumber0-{F}(V0), aNaturalNumber0-{F}(V1), P_sz00-{F}(V2), P_sz10-{F}(V3), aNaturalNumber0-{F}(V4), V4 == V2, P_sdtasdt0-{F}(V4,V1,V5), P_sdtasdt0-{F}(V4,V0,V6), P_sdtpldt0-{F}(V5,V6,V7), P_sdtasdt0-{F}(V1,V4,V8), P_sdtasdt0-{F}(V0,V4,V9), P_sdtpldt0-{F}(V8,V9,V10), aNaturalNumber0-{F}(V11), P_sdtasdt0-{F}(V4,V11,V7), P_sdtasdt0-{F}(V11,V4,V12) | P_sdtpldt0-{T}(V1,V0,V11)
% 9.35/9.52 (used 0 times, uses = {})
% 9.35/9.52
% 9.35/9.52 #243: mergings( V3 == V5, V5 == V7, V7 == V9, V4 == V6, V6 == V8, V8 == V10; #229 ), references = 1, size of lhs = 15:
% 9.35/9.52 aNaturalNumber0-{F}(V0), aNaturalNumber0-{F}(V1), P_sz00-{F}(V2), P_sz10-{F}(V3), aNaturalNumber0-{F}(V4), V4 == V2, P_sdtasdt0-{F}(V4,V1,V5), P_sdtasdt0-{F}(V4,V0,V6), P_sdtpldt0-{F}(V5,V6,V7), P_sdtasdt0-{F}(V1,V4,V8), P_sdtasdt0-{F}(V0,V4,V9), P_sdtpldt0-{F}(V8,V9,V10), aNaturalNumber0-{F}(V11), P_sdtasdt0-{F}(V11,V4,V7), P_sdtasdt0-{F}(V4,V11,V12) | P_sdtpldt0-{T}(V1,V0,V11)
% 9.35/9.52 (used 0 times, uses = {})
% 9.35/9.52
% 9.35/9.52 #256: mergings( V3 == V5, V4 == V7; #253 ), references = 1, size of lhs = 11:
% 9.35/9.52 aNaturalNumber0-{F}(V0), pppp0-{F}(V0,V1), sdtlseqdt0-{F}(V0,V1), aNaturalNumber0-{F}(V1), pppp0-{F}(V1,V0), sdtlseqdt0-{F}(V1,V0), aNaturalNumber0-{F}(V2), P_sz00-{F}(V2), P_sdtpldt0-{F}(V1,V2,V1), P_sdtpldt0-{F}(V2,V1,V3), P_sz10-{F}(V4) | P_sdtmndt0-{T}(V1,V0,V2)
% 9.35/9.52 (used 0 times, uses = {})
% 9.35/9.52
% 9.35/9.52 #307: mergings( V1 == V4, V4 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V2 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V3 == V6, V20 == V6; #287 ), references = 2, size of lhs = 6:
% 9.35/9.52 P_xm-{F}(V0), aNaturalNumber0-{F}(V0), aNaturalNumber0-{F}(V1), P_sz00-{F}(V1), P_sdtpldt0-{F}(V0,V1,V0), P_sz10-{F}(V2) | P_xn-{T}(V0)
% 9.35/9.52 (used 0 times, uses = {})
% 9.35/9.52
% 9.35/9.52 #345: mergings( V1 == V4, V4 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V2 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V3 == V6; #289 ), references = 1, size of lhs = 8:
% 9.35/9.52 P_xm-{F}(V0), aNaturalNumber0-{F}(V0), aNaturalNumber0-{F}(V1), P_sz00-{F}(V1), P_sz10-{F}(V2), P_sdtpldt0-{F}(V1,V0,V3), P_sdtpldt0-{F}(V3,V1,V4), pppp0-{F}(V5,V6) | P_xn-{T}(V4)
% 9.35/9.52 (used 0 times, uses = {})
% 9.35/9.52
% 9.35/9.52 #377: mergings( V1 == V5, V5 == V7, V2 == V3, V3 == V6, V6 == V8; #371 ), references = 1, size of lhs = 4:
% 9.35/9.52 P_xm-{F}(V0), aNaturalNumber0-{F}(V1), P_sz00-{F}(V1), P_sz10-{F}(V2) | FALSE
% 9.35/9.52 (used 0 times, uses = {})
% 9.35/9.52
% 9.35/9.52 #384: mergings( V1 == V4, V4 == V6, V2 == V3, V3 == V5, V5 == V7; #378 ), references = 1, size of lhs = 3:
% 9.35/9.52 aNaturalNumber0-{F}(V0), P_sz00-{F}(V0), P_sz10-{F}(V1) | FALSE
% 9.35/9.52 (used 0 times, uses = {})
% 9.35/9.52
% 9.35/9.52 #388: mergings( V1 == V2, V2 == V3; #385 ), references = 1, size of lhs = 2:
% 9.35/9.52 aNaturalNumber0-{F}(V0), P_sz00-{F}(V0) | FALSE
% 9.35/9.52 (used 0 times, uses = {})
% 9.35/9.52
% 9.35/9.52 #391: exists( #48, #389 ), references = 1, size of lhs = 0:
% 9.35/9.52 FALSE | FALSE
% 9.35/9.52 (used 0 times, uses = {})
% 9.35/9.52
% 9.35/9.52 number of learnt formulas = 33
% 9.35/9.52
% 9.35/9.52
% 9.35/9.52 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.35/9.52
% 9.35/9.52 randbase = 1
%------------------------------------------------------------------------------