TSTP Solution File: NUM494+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : NUM494+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n008.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 06:12:37 EDT 2022
% Result : Theorem 161.57s 161.75s
% Output : Refutation 161.57s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM494+1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.11/0.33 % Computer : n008.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Fri Jul 22 23:39:53 EDT 2022
% 0.11/0.33 % CPUTime :
% 161.57/161.75 GeoParameters:
% 161.57/161.75
% 161.57/161.75 tptp_input = 1
% 161.57/161.75 tptp_output = 0
% 161.57/161.75 nonempty = 1
% 161.57/161.75 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 161.57/161.75 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 161.57/161.75
% 161.57/161.75
% 161.57/161.75 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 161.57/161.75 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 161.57/161.75
% 161.57/161.75 RuleSystem INPUT:
% 161.57/161.75
% 161.57/161.75 Initial Rules:
% 161.57/161.75 #0: input, references = 4, size of lhs = 1:
% 161.57/161.75 P_sz00-{F}(V0) | aNaturalNumber0-{T}(V0)
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #1: input, references = 3, size of lhs = 2:
% 161.57/161.75 P_sz00-{F}(V0), P_sz10-{F}(V1) | aNaturalNumber0-{T}(V1)
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #2: input, references = 3, size of lhs = 2:
% 161.57/161.75 P_sz00-{F}(V0), P_sz10-{F}(V0) | FALSE
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #3: input, references = 13, size of lhs = 5:
% 161.57/161.75 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V3,V2,V4), aNaturalNumber0-{F}(V3) | aNaturalNumber0-{T}(V4)
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #4: input, references = 3, size of lhs = 5:
% 161.57/161.75 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtasdt0-{F}(V3,V2,V4), aNaturalNumber0-{F}(V3) | aNaturalNumber0-{T}(V4)
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #5: input, references = 4, size of lhs = 7:
% 161.57/161.75 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
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #6: input, references = 4, size of lhs = 10:
% 161.57/161.75 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
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #7: input, references = 4, size of lhs = 6:
% 161.57/161.75 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
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #8: input, references = 5, size of lhs = 6:
% 161.57/161.75 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
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #9: input, references = 4, size of lhs = 7:
% 161.57/161.75 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
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #10: input, references = 3, size of lhs = 10:
% 161.57/161.75 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
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #11: input, references = 5, size of lhs = 6:
% 161.57/161.75 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
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #12: input, references = 3, size of lhs = 6:
% 161.57/161.75 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
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #13: input, references = 5, size of lhs = 6:
% 161.57/161.75 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
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #14: input, references = 4, size of lhs = 6:
% 161.57/161.75 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
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #15: input, references = 5, size of lhs = 15:
% 161.57/161.75 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
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #16: input, references = 5, size of lhs = 15:
% 161.57/161.75 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
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #17: input, references = 5, size of lhs = 10:
% 161.57/161.75 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
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #18: input, references = 4, size of lhs = 10:
% 161.57/161.75 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
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #19: input, references = 3, size of lhs = 11:
% 161.57/161.75 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
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #20: input, references = 3, size of lhs = 11:
% 161.57/161.75 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
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #21: input, references = 3, size of lhs = 6:
% 161.57/161.75 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V3,V2,V0), aNaturalNumber0-{F}(V3), V3 == V0 | FALSE
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #22: input, references = 4, size of lhs = 6:
% 161.57/161.75 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V3,V2,V0), aNaturalNumber0-{F}(V3), V2 == V0 | FALSE
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #23: input, references = 3, size of lhs = 7:
% 161.57/161.75 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
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #24: input, references = 8, size of lhs = 5:
% 161.57/161.75 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), sdtlseqdt0-{F}(V3,V2) | pppp0-{T}(V3,V2)
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #25: input, references = 7, size of lhs = 5:
% 161.57/161.75 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), pppp0-{F}(V3,V2) | sdtlseqdt0-{T}(V3,V2)
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #26: input, references = 8, size of lhs = 3:
% 161.57/161.75 P_sz00-{F}(V0), P_sz10-{F}(V1), pppp0-{F}(V2,V3) | EXISTS V4: pppp5-{T}(V2,V3,V4)
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #27: input, references = 7, size of lhs = 4:
% 161.57/161.75 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtpldt0-{F}(V2,V4,V3), aNaturalNumber0-{F}(V4) | pppp0-{T}(V2,V3)
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #28: input, references = 8, size of lhs = 3:
% 161.57/161.75 pppp5-{F}(V0,V1,V2), P_sdtpldt0-{F}(V0,V2,V3), V3 == V1 | FALSE
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #29: input, references = 19, size of lhs = 2:
% 161.57/161.75 pppp5-{F}(V0,V1,V2), P_sdtpldt0-{F}(V0,V2,V3) | aNaturalNumber0-{T}(V2)
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #30: input, references = 11, size of lhs = 6:
% 161.57/161.75 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)
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #31: input, references = 7, size of lhs = 8:
% 161.57/161.75 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
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #32: input, references = 3, size of lhs = 4:
% 161.57/161.75 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtpldt0-{F}(V2,V4,V5), pppp1-{F}(V2,V3,V4) | aNaturalNumber0-{T}(V4)
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #33: input, references = 8, size of lhs = 5:
% 161.57/161.75 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtpldt0-{F}(V2,V4,V5), pppp1-{F}(V2,V3,V4), V5 == V3 | FALSE
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #34: input, references = 14, size of lhs = 4:
% 161.57/161.75 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtpldt0-{F}(V2,V4,V3), aNaturalNumber0-{F}(V4) | pppp1-{T}(V2,V3,V4)
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #35: input, references = 10, size of lhs = 3:
% 161.57/161.75 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2) | sdtlseqdt0-{T}(V2,V2)
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #36: input, references = 5, size of lhs = 7:
% 161.57/161.75 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), sdtlseqdt0-{F}(V3,V2), sdtlseqdt0-{F}(V2,V3), V3 == V2 | FALSE
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #37: input, references = 3, size of lhs = 7:
% 161.57/161.75 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), sdtlseqdt0-{F}(V3,V2), aNaturalNumber0-{F}(V4), sdtlseqdt0-{F}(V4,V3) | sdtlseqdt0-{T}(V4,V2)
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #38: input, references = 3, size of lhs = 3:
% 161.57/161.75 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V3) | sdtlseqdt0-{T}(V3,V3)
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #39: input, references = 5, size of lhs = 4:
% 161.57/161.75 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3) | sdtlseqdt0-{T}(V3,V2), sdtlseqdt0-{T}(V2,V3)
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #40: input, references = 3, size of lhs = 11:
% 161.57/161.75 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), sdtlseqdt0-{F}(V3,V2), 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
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #41: input, references = 12, size of lhs = 11:
% 161.57/161.75 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), sdtlseqdt0-{F}(V3,V2), P_sdtpldt0-{F}(V4,V3,V5), P_sdtpldt0-{F}(V4,V2,V6), P_sdtpldt0-{F}(V3,V4,V7), P_sdtpldt0-{F}(V2,V4,V8), aNaturalNumber0-{F}(V4), V3 == V2 | sdtlseqdt0-{T}(V5,V6)
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #42: input, references = 3, size of lhs = 11:
% 161.57/161.75 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), sdtlseqdt0-{F}(V3,V2), 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
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #43: input, references = 3, size of lhs = 11:
% 161.57/161.75 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), sdtlseqdt0-{F}(V3,V2), P_sdtpldt0-{F}(V4,V3,V5), P_sdtpldt0-{F}(V4,V2,V6), P_sdtpldt0-{F}(V3,V4,V7), P_sdtpldt0-{F}(V2,V4,V8), aNaturalNumber0-{F}(V4), V3 == V2 | sdtlseqdt0-{T}(V7,V8)
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #44: input, references = 3, size of lhs = 12:
% 161.57/161.75 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), sdtlseqdt0-{F}(V3,V2), P_sdtasdt0-{F}(V4,V3,V6), P_sdtasdt0-{F}(V4,V2,V6), P_sdtasdt0-{F}(V3,V4,V7), P_sdtasdt0-{F}(V2,V4,V8), aNaturalNumber0-{F}(V4), V3 == V2, V4 == V0 | FALSE
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #45: input, references = 3, size of lhs = 12:
% 161.57/161.75 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), sdtlseqdt0-{F}(V3,V2), P_sdtasdt0-{F}(V4,V3,V5), P_sdtasdt0-{F}(V4,V2,V6), P_sdtasdt0-{F}(V3,V4,V7), P_sdtasdt0-{F}(V2,V4,V8), aNaturalNumber0-{F}(V4), V3 == V2, V4 == V0 | sdtlseqdt0-{T}(V5,V6)
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #46: input, references = 3, size of lhs = 12:
% 161.57/161.75 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), sdtlseqdt0-{F}(V3,V2), P_sdtasdt0-{F}(V4,V3,V5), P_sdtasdt0-{F}(V4,V2,V6), P_sdtasdt0-{F}(V3,V4,V8), P_sdtasdt0-{F}(V2,V4,V8), aNaturalNumber0-{F}(V4), V3 == V2, V4 == V0 | FALSE
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #47: input, references = 3, size of lhs = 12:
% 161.57/161.75 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), sdtlseqdt0-{F}(V3,V2), P_sdtasdt0-{F}(V4,V3,V5), P_sdtasdt0-{F}(V4,V2,V6), P_sdtasdt0-{F}(V3,V4,V7), P_sdtasdt0-{F}(V2,V4,V8), aNaturalNumber0-{F}(V4), V3 == V2, V4 == V0 | sdtlseqdt0-{T}(V7,V8)
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #48: input, references = 14, size of lhs = 5:
% 161.57/161.75 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), V2 == V0, V2 == V1 | sdtlseqdt0-{T}(V1,V2)
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #49: input, references = 3, size of lhs = 6:
% 161.57/161.75 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtasdt0-{F}(V3,V2,V4), aNaturalNumber0-{F}(V3), V2 == V0 | sdtlseqdt0-{T}(V3,V4)
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #50: input, references = 3, size of lhs = 6:
% 161.57/161.75 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), sdtlseqdt0-{F}(V3,V2), V3 == V2 | iLess0-{T}(V3,V2)
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #51: input, references = 3, size of lhs = 5:
% 161.57/161.75 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), doDivides0-{F}(V3,V2) | pppp2-{T}(V3,V2)
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #52: input, references = 3, size of lhs = 5:
% 161.57/161.75 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), pppp2-{F}(V3,V2) | doDivides0-{T}(V3,V2)
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #53: input, references = 4, size of lhs = 3:
% 161.57/161.75 P_sz00-{F}(V0), P_sz10-{F}(V1), pppp2-{F}(V2,V3) | EXISTS V4: pppp6-{T}(V2,V3,V4)
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #54: input, references = 3, size of lhs = 4:
% 161.57/161.75 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtasdt0-{F}(V2,V4,V5), aNaturalNumber0-{F}(V4) | pppp2-{T}(V2,V5)
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #55: input, references = 4, size of lhs = 3:
% 161.57/161.75 pppp6-{F}(V0,V1,V2), P_sdtasdt0-{F}(V0,V2,V3), V1 == V3 | FALSE
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #56: input, references = 4, size of lhs = 2:
% 161.57/161.75 pppp6-{F}(V0,V1,V2), P_sdtasdt0-{F}(V0,V2,V3) | aNaturalNumber0-{T}(V2)
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #57: input, references = 3, size of lhs = 7:
% 161.57/161.75 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtsldt0-{F}(V3,V2,V4), aNaturalNumber0-{F}(V3), doDivides0-{F}(V2,V3), V2 == V0 | pppp3-{T}(V2,V3,V4)
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #58: input, references = 5, size of lhs = 9:
% 161.57/161.75 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtsldt0-{F}(V3,V2,V4), aNaturalNumber0-{F}(V3), doDivides0-{F}(V2,V3), pppp3-{F}(V2,V3,V5), V2 == V0, V5 == V4 | FALSE
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #59: input, references = 3, size of lhs = 4:
% 161.57/161.75 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtasdt0-{F}(V2,V4,V5), pppp3-{F}(V2,V3,V4) | aNaturalNumber0-{T}(V4)
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #60: input, references = 3, size of lhs = 5:
% 161.57/161.75 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtasdt0-{F}(V2,V4,V5), pppp3-{F}(V2,V3,V4), V3 == V5 | FALSE
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #61: input, references = 4, size of lhs = 4:
% 161.57/161.75 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtasdt0-{F}(V2,V4,V5), aNaturalNumber0-{F}(V4) | pppp3-{T}(V2,V5,V4)
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #62: input, references = 3, size of lhs = 7:
% 161.57/161.75 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), doDivides0-{F}(V3,V2), aNaturalNumber0-{F}(V4), doDivides0-{F}(V4,V3) | doDivides0-{T}(V4,V2)
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #63: input, references = 3, size of lhs = 8:
% 161.57/161.75 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), doDivides0-{F}(V3,V2), P_sdtpldt0-{F}(V4,V2,V5), aNaturalNumber0-{F}(V4), doDivides0-{F}(V3,V4) | doDivides0-{T}(V3,V5)
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #64: input, references = 3, size of lhs = 8:
% 161.57/161.75 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), P_sdtpldt0-{F}(V4,V2,V5), aNaturalNumber0-{F}(V4), doDivides0-{F}(V3,V4), doDivides0-{F}(V3,V5) | doDivides0-{T}(V3,V2)
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #65: input, references = 3, size of lhs = 6:
% 161.57/161.75 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), doDivides0-{F}(V3,V2), V2 == V0 | sdtlseqdt0-{T}(V3,V2)
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #66: input, references = 6, size of lhs = 12:
% 161.57/161.75 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtsldt0-{F}(V3,V2,V4), aNaturalNumber0-{F}(V3), doDivides0-{F}(V2,V3), P_sdtasdt0-{F}(V5,V4,V6), P_sdtasdt0-{F}(V5,V3,V7), P_sdtsldt0-{F}(V7,V2,V8), aNaturalNumber0-{F}(V5), V2 == V0, V6 == V8 | FALSE
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #67: input, references = 5, size of lhs = 4:
% 161.57/161.75 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), isPrime0-{F}(V2) | pppp4-{T}(V2)
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #68: input, references = 3, size of lhs = 4:
% 161.57/161.75 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), pppp4-{F}(V2) | isPrime0-{T}(V2)
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #69: input, references = 4, size of lhs = 3:
% 161.57/161.75 P_sz00-{F}(V0), P_sz10-{F}(V1), pppp4-{F}(V0) | FALSE
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #70: input, references = 4, size of lhs = 3:
% 161.57/161.75 P_sz00-{F}(V0), P_sz10-{F}(V1), pppp4-{F}(V1) | FALSE
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #71: input, references = 4, size of lhs = 7:
% 161.57/161.75 P_sz00-{F}(V0), P_sz10-{F}(V1), pppp4-{F}(V2), aNaturalNumber0-{F}(V3), doDivides0-{F}(V3,V2), V3 == V1, V3 == V2 | FALSE
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #72: input, references = 5, size of lhs = 5:
% 161.57/161.75 P_sz00-{F}(V0), P_sz10-{F}(V1), #-{F} V2, V2 == V0, V2 == V1 | pppp4-{T}(V2), pppp9-{T}(V2,V1)
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #73: input, references = 3, size of lhs = 1:
% 161.57/161.75 pppp9-{F}(V0,V1) | EXISTS V2: pppp7-{T}(V0,V2,V1)
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #74: input, references = 3, size of lhs = 1:
% 161.57/161.75 pppp7-{F}(V0,V0,V2) | FALSE
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #75: input, references = 3, size of lhs = 1:
% 161.57/161.75 pppp7-{F}(V0,V2,V2) | FALSE
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #76: input, references = 3, size of lhs = 1:
% 161.57/161.75 pppp7-{F}(V0,V1,V2) | doDivides0-{T}(V1,V0)
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #77: input, references = 3, size of lhs = 1:
% 161.57/161.75 pppp7-{F}(V0,V1,V2) | aNaturalNumber0-{T}(V1)
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #78: input, references = 3, size of lhs = 5:
% 161.57/161.75 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), V2 == V0, V2 == V1 | EXISTS V3: pppp8-{T}(V2,V3)
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #79: input, references = 3, size of lhs = 1:
% 161.57/161.75 pppp8-{F}(V0,V1) | isPrime0-{T}(V1)
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #80: input, references = 3, size of lhs = 1:
% 161.57/161.75 pppp8-{F}(V0,V1) | doDivides0-{T}(V1,V0)
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #81: input, references = 3, size of lhs = 1:
% 161.57/161.75 pppp8-{F}(V0,V1) | aNaturalNumber0-{T}(V1)
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #82: input, references = 9, size of lhs = 5:
% 161.57/161.75 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xn-{F}(V2), P_xm-{F}(V3), P_xp-{F}(V4) | aNaturalNumber0-{T}(V2)
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #83: input, references = 10, size of lhs = 5:
% 161.57/161.75 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xn-{F}(V2), P_xm-{F}(V3), P_xp-{F}(V4) | aNaturalNumber0-{T}(V3)
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #84: input, references = 9, size of lhs = 5:
% 161.57/161.75 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xn-{F}(V2), P_xm-{F}(V3), P_xp-{F}(V4) | aNaturalNumber0-{T}(V4)
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #85: input, references = 3, size of lhs = 16:
% 161.57/161.75 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xn-{F}(V2), P_xm-{F}(V3), P_xp-{F}(V4), P_sdtpldt0-{F}(V2,V3,V5), P_sdtpldt0-{F}(V5,V4,V6), aNaturalNumber0-{F}(V7), isPrime0-{F}(V7), aNaturalNumber0-{F}(V8), P_sdtasdt0-{F}(V9,V8,V10), P_sdtpldt0-{F}(V9,V8,V11), P_sdtpldt0-{F}(V11,V7,V12), aNaturalNumber0-{F}(V9), doDivides0-{F}(V7,V10), iLess0-{F}(V12,V6) | doDivides0-{T}(V7,V8), doDivides0-{T}(V7,V9)
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #86: input, references = 5, size of lhs = 8:
% 161.57/161.75 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xn-{F}(V2), P_xm-{F}(V3), P_xp-{F}(V4), P_sdtpldt0-{F}(V2,V3,V5), P_sdtpldt0-{F}(V5,V4,V6), P_sdtasdt0-{F}(V2,V3,V7) | isPrime0-{T}(V4)
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #87: input, references = 3, size of lhs = 8:
% 161.57/161.75 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xn-{F}(V2), P_xm-{F}(V3), P_xp-{F}(V4), P_sdtpldt0-{F}(V2,V3,V5), P_sdtpldt0-{F}(V5,V4,V6), P_sdtasdt0-{F}(V2,V3,V7) | doDivides0-{T}(V4,V7)
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #88: input, references = 6, size of lhs = 8:
% 161.57/161.75 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xn-{F}(V2), P_xm-{F}(V3), P_xp-{F}(V4), P_sdtpldt0-{F}(V2,V3,V5), P_sdtpldt0-{F}(V5,V4,V6), P_sdtasdt0-{F}(V2,V3,V7) | sdtlseqdt0-{T}(V4,V2)
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #89: input, references = 5, size of lhs = 11:
% 161.57/161.75 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xn-{F}(V2), P_xm-{F}(V3), P_xp-{F}(V4), P_sdtpldt0-{F}(V2,V3,V5), P_sdtpldt0-{F}(V5,V4,V6), P_sdtasdt0-{F}(V2,V3,V7), P_xr-{F}(V8), P_sdtmndt0-{F}(V2,V4,V9), V8 == V9 | FALSE
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #90: input, references = 6, size of lhs = 10:
% 161.57/161.75 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xn-{F}(V2), P_xm-{F}(V3), P_xp-{F}(V4), P_sdtpldt0-{F}(V2,V3,V5), P_sdtpldt0-{F}(V5,V4,V6), P_sdtasdt0-{F}(V2,V3,V7), P_xr-{F}(V2), P_sdtmndt0-{F}(V2,V4,V9) | FALSE
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #91: input, references = 3, size of lhs = 10:
% 161.57/161.75 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xn-{F}(V2), P_xm-{F}(V3), P_xp-{F}(V4), P_sdtpldt0-{F}(V2,V3,V5), P_sdtpldt0-{F}(V5,V4,V6), P_sdtasdt0-{F}(V2,V3,V7), P_xr-{F}(V8), P_sdtmndt0-{F}(V2,V4,V9) | sdtlseqdt0-{T}(V8,V2)
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #92: input, references = 4, size of lhs = 11:
% 161.57/161.75 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xn-{F}(V2), P_xm-{F}(V3), P_xp-{F}(V4), P_sdtpldt0-{F}(V2,V3,V5), P_sdtpldt0-{F}(V5,V4,V6), P_sdtasdt0-{F}(V2,V3,V7), P_xr-{F}(V8), P_sdtmndt0-{F}(V2,V4,V9), P_sdtasdt0-{F}(V8,V3,V10) | doDivides0-{T}(V4,V10)
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #93: input, references = 5, size of lhs = 15:
% 161.57/161.75 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xn-{F}(V2), P_xm-{F}(V3), P_xp-{F}(V4), P_sdtpldt0-{F}(V2,V3,V5), P_sdtpldt0-{F}(V5,V4,V6), P_sdtasdt0-{F}(V2,V3,V7), P_xr-{F}(V8), P_sdtmndt0-{F}(V2,V4,V9), P_sdtasdt0-{F}(V8,V3,V10), P_sdtpldt0-{F}(V8,V3,V11), P_sdtpldt0-{F}(V11,V4,V12), sdtlseqdt0-{F}(V12,V6), V12 == V6 | FALSE
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #94: input, references = 4, size of lhs = 0:
% 161.57/161.75 FALSE | EXISTS V0: P_sz00-{T}(V0)
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #95: input, references = 4, size of lhs = 0:
% 161.57/161.75 FALSE | EXISTS V0: P_sz10-{T}(V0)
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #96: input, references = 27, size of lhs = 2:
% 161.57/161.75 #-{F} V0, #-{F} V1 | EXISTS V2: P_sdtpldt0-{T}(V0,V1,V2)
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #97: input, references = 18, size of lhs = 2:
% 161.57/161.75 #-{F} V0, #-{F} V1 | EXISTS V2: P_sdtasdt0-{T}(V0,V1,V2)
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #98: input, references = 8, size of lhs = 2:
% 161.57/161.75 #-{F} V0, #-{F} V1 | EXISTS V2: P_sdtmndt0-{T}(V0,V1,V2)
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #99: input, references = 6, size of lhs = 2:
% 161.57/161.75 #-{F} V0, #-{F} V1 | EXISTS V2: P_sdtsldt0-{T}(V0,V1,V2)
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #100: input, references = 4, size of lhs = 0:
% 161.57/161.75 FALSE | EXISTS V0: P_xn-{T}(V0)
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #101: input, references = 6, size of lhs = 0:
% 161.57/161.75 FALSE | EXISTS V0: P_xm-{T}(V0)
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #102: input, references = 9, size of lhs = 0:
% 161.57/161.75 FALSE | EXISTS V0: P_xp-{T}(V0)
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #103: input, references = 8, size of lhs = 0:
% 161.57/161.75 FALSE | EXISTS V0: P_xr-{T}(V0)
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 number of initial rules = 104
% 161.57/161.75
% 161.57/161.75 Simplifiers:
% 161.57/161.75 #104: unsound, references = 3, size of lhs = 3:
% 161.57/161.75 P_sz00-{F}(V0), P_sz00-{F}(V1), V0 == V1 | FALSE
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #105: unsound, references = 3, size of lhs = 3:
% 161.57/161.75 P_sz10-{F}(V0), P_sz10-{F}(V1), V0 == V1 | FALSE
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #106: unsound, references = 3, size of lhs = 3:
% 161.57/161.75 P_sdtpldt0-{F}(V0,V1,V2), P_sdtpldt0-{F}(V0,V1,V5), V2 == V5 | FALSE
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #107: unsound, references = 3, size of lhs = 3:
% 161.57/161.75 P_sdtasdt0-{F}(V0,V1,V2), P_sdtasdt0-{F}(V0,V1,V5), V2 == V5 | FALSE
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #108: unsound, references = 3, size of lhs = 3:
% 161.57/161.75 P_sdtmndt0-{F}(V0,V1,V2), P_sdtmndt0-{F}(V0,V1,V5), V2 == V5 | FALSE
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #109: unsound, references = 3, size of lhs = 3:
% 161.57/161.75 P_sdtsldt0-{F}(V0,V1,V2), P_sdtsldt0-{F}(V0,V1,V5), V2 == V5 | FALSE
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #110: unsound, references = 3, size of lhs = 3:
% 161.57/161.75 P_xn-{F}(V0), P_xn-{F}(V1), V0 == V1 | FALSE
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #111: unsound, references = 3, size of lhs = 3:
% 161.57/161.75 P_xm-{F}(V0), P_xm-{F}(V1), V0 == V1 | FALSE
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #112: unsound, references = 3, size of lhs = 3:
% 161.57/161.75 P_xp-{F}(V0), P_xp-{F}(V1), V0 == V1 | FALSE
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #113: unsound, references = 3, size of lhs = 3:
% 161.57/161.75 P_xr-{F}(V0), P_xr-{F}(V1), V0 == V1 | FALSE
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #114: unsound, references = 3, size of lhs = 3:
% 161.57/161.75 pppp5-{F}(V0,V1,V2), pppp5-{F}(V0,V1,V5), V2 == V5 | FALSE
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #115: unsound, references = 3, size of lhs = 3:
% 161.57/161.75 pppp6-{F}(V0,V1,V2), pppp6-{F}(V0,V1,V5), V2 == V5 | FALSE
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #116: unsound, references = 3, size of lhs = 3:
% 161.57/161.75 pppp7-{F}(V0,V1,V2), pppp7-{F}(V0,V4,V2), V1 == V4 | FALSE
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #117: unsound, references = 3, size of lhs = 3:
% 161.57/161.75 pppp7-{F}(V0,V1,V2), pppp7-{F}(V3,V4,V5), V2 == V5 | FALSE
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #118: unsound, references = 3, size of lhs = 3:
% 161.57/161.75 pppp8-{F}(V0,V1), pppp8-{F}(V0,V3), V1 == V3 | FALSE
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #119: unsound, references = 3, size of lhs = 3:
% 161.57/161.75 pppp9-{F}(V0,V1), pppp9-{F}(V2,V3), V1 == V3 | FALSE
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 number of simplifiers = 16
% 161.57/161.75
% 161.57/161.75 Learnt:
% 161.57/161.75 #122: exists( #98, #31 ), references = 9, size of lhs = 6:
% 161.57/161.75 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)
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #126: exists( #96, #7 ), references = 1, size of lhs = 5:
% 161.57/161.75 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V2,V0,V3), V3 == V2 | FALSE
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #128: mergings( V4 == V1; #125 ), references = 6, size of lhs = 4:
% 161.57/161.75 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V2,V0,V2) | P_sdtpldt0-{T}(V0,V2,V2)
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #130: exists( #96, #124 ), references = 18, size of lhs = 3:
% 161.57/161.75 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2) | P_sdtpldt0-{T}(V2,V0,V2)
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #133: exists( #97, #13 ), references = 1, size of lhs = 3:
% 161.57/161.75 P_sz00-{F}(V0), aNaturalNumber0-{F}(V0), P_sz10-{F}(V1) | P_sdtasdt0-{T}(V0,V0,V0)
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #136: exists( #97, #11 ), references = 1, size of lhs = 3:
% 161.57/161.75 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V1) | P_sdtasdt0-{T}(V1,V1,V1)
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #148: mergings( V3 == V8, V8 == V10, V4 == V1, V1 == V9; #143 ), references = 1, size of lhs = 8:
% 161.57/161.75 P_xn-{F}(V0), P_xm-{F}(V1), P_xp-{F}(V2), aNaturalNumber0-{F}(V2), P_sz10-{F}(V2), P_sdtpldt0-{F}(V0,V1,V3), P_sdtasdt0-{F}(V0,V1,V4), P_sz00-{F}(V5) | FALSE
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #154: mergings( V3 == V7, V7 == V9, V4 == V5, V5 == V8; #149 ), references = 2, size of lhs = 7:
% 161.57/161.75 P_xn-{F}(V0), P_xm-{F}(V1), P_xp-{F}(V2), aNaturalNumber0-{F}(V2), P_sz10-{F}(V2), P_sdtpldt0-{F}(V0,V1,V3), P_sz00-{F}(V4) | FALSE
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #159: exists( #99, #58 ), references = 1, size of lhs = 7:
% 161.57/161.75 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), V2 == V0, aNaturalNumber0-{F}(V3), doDivides0-{F}(V2,V3), pppp3-{F}(V2,V3,V4) | P_sdtsldt0-{T}(V3,V2,V4)
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #163: exists( #97, #14 ), references = 5, size of lhs = 4:
% 161.57/161.75 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtasdt0-{F}(V2,V0,V3) | P_sdtasdt0-{T}(V0,V2,V0)
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #164: exists( #97, #9 ), references = 7, size of lhs = 5:
% 161.57/161.75 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)
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #166: exists( #96, #154 ), references = 2, size of lhs = 6:
% 161.57/161.75 P_xn-{F}(V0), P_xm-{F}(V1), P_xp-{F}(V2), aNaturalNumber0-{F}(V2), P_sz10-{F}(V2), P_sz00-{F}(V3) | FALSE
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #177: mergings( V3 == V1, V4 == V5; #172 ), references = 8, size of lhs = 4:
% 161.57/161.75 aNaturalNumber0-{F}(V0), P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2) | P_sdtasdt0-{T}(V2,V0,V0)
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #198: mergings( V3 == V8, V4 == V9; #195 ), references = 6, size of lhs = 11:
% 161.57/161.75 P_xn-{F}(V0), aNaturalNumber0-{F}(V0), P_xm-{F}(V1), P_xp-{F}(V2), V2 == V0, aNaturalNumber0-{F}(V2), sdtlseqdt0-{F}(V0,V2), P_sdtpldt0-{F}(V0,V1,V3), P_sdtasdt0-{F}(V0,V1,V4), P_sz00-{F}(V5), P_sz10-{F}(V6) | FALSE
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #235: mergings( V1 == V4, V4 == V11, V11 == V15, V15 == V18, V18 == V20, V2 == V5, V5 == V8, V8 == V9, V9 == V10, V10 == V12, V12 == V13, V13 == V14, V14 == V16, V16 == V19, V19 == V21, V3 == V6, V6 == V20, V7 == V17; #216 ), references = 1, size of lhs = 5:
% 161.57/161.75 P_xn-{F}(V0), aNaturalNumber0-{F}(V0), P_sz00-{F}(V0), P_xm-{F}(V1), P_sz10-{F}(V2) | P_xp-{T}(V0)
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #285: mergings( V1 == V4, V4 == V10, V10 == V15, V15 == V17, V17 == V19, V19 == V24, V24 == V27, V27 == V29, V2 == V5, V5 == V7, V7 == V8, V8 == V9, V9 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V23, V23 == V25, V25 == V26, V26 == V28, V28 == V30, V30 == V31, V3 == V6, V6 == V21, V21 == V29; #254 ), references = 2, size of lhs = 4:
% 161.57/161.75 P_xn-{F}(V0), aNaturalNumber0-{F}(V0), P_sz00-{F}(V0), P_sz10-{F}(V1) | FALSE
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #300: mergings( V3 == V5, V5 == V7, V7 == V9, V4 == V6, V6 == V8, V8 == V10; #293 ), references = 2, size of lhs = 14:
% 161.57/161.75 aNaturalNumber0-{F}(V0), P_xp-{F}(V0), aNaturalNumber0-{F}(V1), P_sz00-{F}(V2), P_sz10-{F}(V3), P_xn-{F}(V4), P_xm-{F}(V5), P_sdtpldt0-{F}(V4,V5,V1), P_sdtasdt0-{F}(V4,V5,V6), P_xr-{F}(V7), P_sdtmndt0-{F}(V4,V0,V8), P_sdtasdt0-{F}(V7,V5,V9), P_sdtpldt0-{F}(V7,V5,V10), P_sdtpldt0-{F}(V10,V0,V1) | P_sdtpldt0-{T}(V1,V0,V1)
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #306: exists( #96, #90 ), references = 3, size of lhs = 9:
% 161.57/161.75 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xn-{F}(V2), P_xr-{F}(V2), P_xm-{F}(V3), P_xp-{F}(V4), P_sdtpldt0-{F}(V2,V3,V5), P_sdtasdt0-{F}(V2,V3,V6), P_sdtmndt0-{F}(V2,V4,V7) | FALSE
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #307: exists( #96, #89 ), references = 3, size of lhs = 10:
% 161.57/161.75 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xn-{F}(V2), P_xm-{F}(V3), P_xp-{F}(V4), P_sdtpldt0-{F}(V2,V3,V5), P_sdtasdt0-{F}(V2,V3,V6), P_xr-{F}(V7), P_sdtmndt0-{F}(V2,V4,V8), V7 == V8 | FALSE
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #309: exists( #103, #305 ), references = 3, size of lhs = 8:
% 161.57/161.75 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xn-{F}(V2), P_xm-{F}(V3), P_xp-{F}(V4), P_sdtpldt0-{F}(V2,V3,V5), P_sdtasdt0-{F}(V2,V3,V6), P_sdtmndt0-{F}(V2,V4,V7) | P_xr-{T}(V7)
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #355: mergings( V3 == V5, V4 == V1; #351 ), references = 4, size of lhs = 4:
% 161.57/161.75 aNaturalNumber0-{F}(V0), P_sz10-{F}(V0), P_sz00-{F}(V1), aNaturalNumber0-{F}(V2) | P_sdtasdt0-{T}(V2,V0,V2)
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #364: exists( #96, #5 ), references = 27, size of lhs = 5:
% 161.57/161.75 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)
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #381: exists( #98, #307 ), references = 4, size of lhs = 8:
% 161.57/161.75 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xn-{F}(V2), P_xm-{F}(V3), P_xp-{F}(V4), P_sdtpldt0-{F}(V2,V3,V5), P_sdtasdt0-{F}(V2,V3,V6), P_xr-{F}(V7) | P_sdtmndt0-{T}(V2,V4,V7)
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #408: exists( #99, #66 ), references = 1, size of lhs = 10:
% 161.57/161.75 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), V2 == V0, aNaturalNumber0-{F}(V3), doDivides0-{F}(V2,V3), P_sdtsldt0-{F}(V3,V2,V4), aNaturalNumber0-{F}(V5), P_sdtasdt0-{F}(V5,V4,V6), P_sdtasdt0-{F}(V5,V3,V7) | P_sdtsldt0-{T}(V7,V2,V6)
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #421: mergings( V3 == V5, V4 == V6; #417 ), references = 2, size of lhs = 13:
% 161.57/161.75 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}(V0,V5,V8)
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #424: mergings( V3 == V5, V4 == V6; #418 ), references = 1, size of lhs = 13:
% 161.57/161.75 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}(V0,V5,V11)
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #431: exists( #96, #28 ), references = 17, size of lhs = 1:
% 161.57/161.75 pppp5-{F}(V0,V1,V2) | P_sdtpldt0-{T}(V0,V2,V1)
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #470: mergings( V3 == V5, V4 == V6; #467 ), references = 4, size of lhs = 5:
% 161.57/161.75 aNaturalNumber0-{F}(V0), aNaturalNumber0-{F}(V1), P_sz00-{F}(V2), P_sz10-{F}(V3), pppp1-{F}(V0,V4,V1) | P_sdtpldt0-{T}(V1,V0,V4)
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #500: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V13, V13 == V15, V15 == V18, V18 == V20, V4 == V6, V6 == V8, V8 == V10, V10 == V14, V14 == V16, V16 == V19, V19 == V21, V0 == V22, V17 == V26, V11 == V23, V12 == V24; #480 ), references = 1, size of lhs = 14:
% 161.57/161.75 aNaturalNumber0-{F}(V0), P_xn-{F}(V0), aNaturalNumber0-{F}(V1), P_xp-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtmndt0-{F}(V0,V1,V2), P_sz00-{F}(V3), P_sz10-{F}(V4), P_xm-{F}(V5), P_sdtpldt0-{F}(V0,V5,V0), P_sdtasdt0-{F}(V0,V5,V6), P_xr-{F}(V7), P_sdtpldt0-{F}(V7,V5,V2), P_sdtasdt0-{F}(V7,V5,V8) | P_sdtpldt0-{T}(V0,V1,V0)
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #556: mergings( V0 == V3, V1 == V5; #553 ), references = 1, size of lhs = 4:
% 161.57/161.75 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), pppp0-{F}(V2,V0) | pppp5-{T}(V2,V0,V0)
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #566: mergings( V1 == V5, V5 == V10, V2 == V6, V6 == V11, V3 == V11, V4 == V7; #559 ), references = 1, size of lhs = 7:
% 161.57/161.75 P_xn-{F}(V0), aNaturalNumber0-{F}(V0), P_sz10-{F}(V0), P_xm-{F}(V1), P_sdtpldt0-{F}(V0,V1,V2), P_sdtasdt0-{F}(V0,V1,V3), P_sz00-{F}(V4) | P_xp-{T}(V4), P_xp-{T}(V0)
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #590: mergings( V0 == V4, V4 == V9, V9 == V11, V11 == V18, V1 == V5, V5 == V10, V10 == V12, V12 == V19, V2 == V19, V19 == V13, V13 == V17, V17 == V23, V3 == V6, V6 == V14, V7 == V15, V8 == V16, V14 == V20, V15 == V21, V16 == V22; #569 ), references = 1, size of lhs = 8:
% 161.57/161.75 aNaturalNumber0-{F}(V0), P_xn-{F}(V0), P_sz10-{F}(V0), P_sz00-{F}(V1), P_sdtmndt0-{F}(V0,V1,V0), P_xm-{F}(V2), P_sdtpldt0-{F}(V0,V2,V3), P_sdtasdt0-{F}(V0,V2,V4) | P_xp-{T}(V0)
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #610: mergings( V0 == V4, V4 == V9, V9 == V11, V11 == V18, V1 == V5, V5 == V10, V10 == V12, V12 == V19, V2 == V19, V19 == V13, V13 == V17, V17 == V24, V3 == V6, V6 == V14, V7 == V15, V8 == V16, V14 == V20, V15 == V21, V16 == V23; #570 ), references = 1, size of lhs = 9:
% 161.57/161.75 aNaturalNumber0-{F}(V0), P_xn-{F}(V0), P_sz10-{F}(V0), P_sz00-{F}(V1), P_sdtmndt0-{F}(V0,V1,V0), P_xm-{F}(V2), P_sdtpldt0-{F}(V0,V2,V3), P_sdtpldt0-{F}(V3,V1,V4), P_sdtasdt0-{F}(V0,V2,V5) | P_xp-{T}(V0)
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #627: mergings( V3 == V5, V4 == V6; #623 ), references = 2, size of lhs = 10:
% 161.57/161.75 aNaturalNumber0-{F}(V0), P_xn-{F}(V0), P_xr-{F}(V0), aNaturalNumber0-{F}(V1), P_xm-{F}(V1), P_sz00-{F}(V2), P_sz10-{F}(V3), P_xp-{F}(V4), P_sdtasdt0-{F}(V0,V1,V5), P_sdtmndt0-{F}(V0,V4,V6) | FALSE
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #634: mergings( V3 == V5, V5 == V7, V7 == V9, V4 == V6, V6 == V8, V8 == V10; #624 ), references = 2, size of lhs = 10:
% 161.57/161.75 P_xp-{F}(V0), P_sz00-{F}(V0), aNaturalNumber0-{F}(V1), P_xn-{F}(V1), P_xr-{F}(V1), aNaturalNumber0-{F}(V2), P_xm-{F}(V2), P_sz10-{F}(V3), P_sdtasdt0-{F}(V1,V2,V4), P_sdtmndt0-{F}(V1,V0,V5) | FALSE
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #657: mergings( V3 == V5, V4 == V6; #652 ), references = 2, size of lhs = 11:
% 161.57/161.75 aNaturalNumber0-{F}(V0), P_xn-{F}(V0), aNaturalNumber0-{F}(V1), P_xm-{F}(V1), P_sz00-{F}(V2), P_sz10-{F}(V3), P_xp-{F}(V4), P_sdtasdt0-{F}(V0,V1,V5), P_xr-{F}(V6), P_sdtmndt0-{F}(V0,V4,V7), V6 == V7 | FALSE
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #664: mergings( V3 == V5, V5 == V7, V7 == V9, V4 == V6, V6 == V8, V8 == V10; #653 ), references = 1, size of lhs = 11:
% 161.57/161.75 P_xp-{F}(V0), P_sz00-{F}(V0), aNaturalNumber0-{F}(V1), P_xn-{F}(V1), aNaturalNumber0-{F}(V2), P_xm-{F}(V2), P_sz10-{F}(V3), P_sdtasdt0-{F}(V1,V2,V4), P_xr-{F}(V5), P_sdtmndt0-{F}(V1,V0,V6), V5 == V6 | FALSE
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #669: mergings( V1 == V5, V2 == V6; #665 ), references = 2, size of lhs = 9:
% 161.57/161.75 aNaturalNumber0-{F}(V0), P_xn-{F}(V0), aNaturalNumber0-{F}(V1), P_xm-{F}(V1), P_sz00-{F}(V2), P_sz10-{F}(V3), P_xp-{F}(V4), P_sdtasdt0-{F}(V0,V1,V5), P_sdtmndt0-{F}(V0,V4,V6) | P_xr-{T}(V6)
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #676: mergings( V1 == V3, V3 == V5, V5 == V9, V2 == V4, V4 == V6, V6 == V10; #666 ), references = 1, size of lhs = 9:
% 161.57/161.75 P_xp-{F}(V0), P_sz00-{F}(V0), aNaturalNumber0-{F}(V1), P_xn-{F}(V1), aNaturalNumber0-{F}(V2), P_xm-{F}(V2), P_sz10-{F}(V3), P_sdtasdt0-{F}(V1,V2,V4), P_sdtmndt0-{F}(V1,V0,V5) | P_xr-{T}(V5)
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #692: mergings( V3 == V7, V4 == V8; #689 ), references = 3, size of lhs = 11:
% 161.57/161.75 aNaturalNumber0-{F}(V0), P_xm-{F}(V0), P_xn-{F}(V1), aNaturalNumber0-{F}(V1), P_xp-{F}(V2), V2 == V1, aNaturalNumber0-{F}(V2), sdtlseqdt0-{F}(V1,V2), P_sdtasdt0-{F}(V1,V0,V3), P_sz00-{F}(V4), P_sz10-{F}(V5) | FALSE
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #713: mergings( V1 == V4, V4 == V8, V8 == V9, V9 == V11, V11 == V13, V13 == V16, V2 == V5, V5 == V10, V10 == V12, V12 == V14, V14 == V17, V3 == V6, V6 == V17, V7 == V15; #698 ), references = 1, size of lhs = 5:
% 161.57/161.75 P_xn-{F}(V0), aNaturalNumber0-{F}(V0), P_sz10-{F}(V0), P_xm-{F}(V1), P_sz00-{F}(V2) | P_xp-{T}(V2), P_xp-{T}(V0)
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #750: mergings( V0 == V3, V3 == V7, V7 == V10, V10 == V12, V12 == V15, V15 == V17, V17 == V21, V21 == V22, V22 == V24, V24 == V8, V1 == V4, V4 == V9, V9 == V11, V11 == V13, V13 == V16, V16 == V18, V18 == V20, V20 == V23, V23 == V25, V25 == V27, V27 == V28, V2 == V5, V5 == V19, V19 == V28, V6 == V14, V14 == V26; #723 ), references = 1, size of lhs = 6:
% 161.57/161.75 aNaturalNumber0-{F}(V0), P_xn-{F}(V0), P_sz10-{F}(V0), P_sz00-{F}(V1), P_sdtmndt0-{F}(V0,V1,V0), P_xm-{F}(V2) | P_xp-{T}(V0)
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #797: mergings( V1 == V4, V4 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V19, V19 == V20, V20 == V22, V22 == V24, V24 == V28, V2 == V5, V5 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V21, V21 == V23, V23 == V25, V25 == V26, V3 == V6, V6 == V17, V17 == V26, V26 == V27; #770 ), references = 1, size of lhs = 5:
% 161.57/161.75 aNaturalNumber0-{F}(V0), P_sz10-{F}(V0), P_xn-{F}(V0), P_sz00-{F}(V1), P_sdtmndt0-{F}(V0,V1,V0) | FALSE
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #906: exists( #97, #15 ), references = 1, size of lhs = 12:
% 161.57/161.75 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), P_sdtpldt0-{F}(V3,V2,V4), aNaturalNumber0-{F}(V4), P_sdtasdt0-{F}(V4,V3,V5), P_sdtasdt0-{F}(V4,V2,V6), P_sdtpldt0-{F}(V5,V6,V7), P_sdtasdt0-{F}(V3,V4,V8), P_sdtasdt0-{F}(V2,V4,V9), P_sdtpldt0-{F}(V8,V9,V10) | P_sdtasdt0-{T}(V4,V4,V7)
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #907: exists( #97, #16 ), references = 1, size of lhs = 12:
% 161.57/161.75 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), P_sdtpldt0-{F}(V3,V2,V4), aNaturalNumber0-{F}(V4), P_sdtasdt0-{F}(V4,V3,V5), P_sdtasdt0-{F}(V4,V2,V6), P_sdtpldt0-{F}(V5,V6,V7), P_sdtasdt0-{F}(V3,V4,V8), P_sdtasdt0-{F}(V2,V4,V9), P_sdtpldt0-{F}(V8,V9,V10) | P_sdtasdt0-{T}(V4,V4,V10)
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #936: mergings( V3 == V11, V4 == V12; #933 ), references = 1, size of lhs = 14:
% 161.57/161.75 P_xn-{F}(V0), P_xm-{F}(V1), P_xp-{F}(V2), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V0,V1,V3), P_sdtasdt0-{F}(V0,V1,V4), P_xr-{F}(V5), P_sdtmndt0-{F}(V0,V2,V6), P_sdtasdt0-{F}(V5,V1,V7), V2 == V7, pppp4-{F}(V7), P_sz00-{F}(V8), P_sz10-{F}(V9), V2 == V9 | FALSE
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #942: mergings( V0 == V3, V3 == V12, V1 == V4, V4 == V13; #937 ), references = 1, size of lhs = 15:
% 161.57/161.75 P_xn-{F}(V0), P_xm-{F}(V1), P_xp-{F}(V2), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V0,V1,V3), P_sdtasdt0-{F}(V0,V1,V4), P_xr-{F}(V5), P_sdtmndt0-{F}(V0,V2,V6), P_sdtasdt0-{F}(V5,V1,V7), V2 == V7, P_sz00-{F}(V8), V7 == V8, P_sz10-{F}(V9), V7 == V9, V2 == V9 | pppp9-{T}(V7,V9)
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #958: mergings( V0 == V2, V1 == V5, V5 == V6; #952 ), references = 1, size of lhs = 3:
% 161.57/161.75 P_sz00-{F}(V0), pppp0-{F}(V0,V1), P_sz10-{F}(V2) | pppp5-{T}(V0,V1,V1)
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #964: mergings( V0 == V2, V2 == V6, V1 == V5, V5 == V7, V9 == V8; #954 ), references = 1, size of lhs = 7:
% 161.57/161.75 aNaturalNumber0-{F}(V0), P_sz00-{F}(V0), pppp0-{F}(V0,V1), P_sz10-{F}(V2), aNaturalNumber0-{F}(V3), P_sdtpldt0-{F}(V0,V3,V1), P_sdtpldt0-{F}(V3,V0,V3) | pppp5-{T}(V0,V1,V3)
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #988: mergings( V0 == V5, V5 == V7, V1 == V6, V6 == V8; #983 ), references = 12, size of lhs = 7:
% 161.57/161.75 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) | pppp5-{T}(V3,V2,V4)
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #997: mergings( V4 == V11, V11 == V13, V5 == V12, V12 == V14; #992 ), references = 5, size of lhs = 16:
% 161.57/161.75 P_xp-{F}(V0), aNaturalNumber0-{F}(V0), P_xn-{F}(V1), P_xm-{F}(V2), P_sdtpldt0-{F}(V1,V2,V3), aNaturalNumber0-{F}(V3), sdtlseqdt0-{F}(V3,V3), P_xr-{F}(V4), P_sdtmndt0-{F}(V1,V0,V5), P_sdtasdt0-{F}(V4,V2,V6), P_sdtpldt0-{F}(V4,V2,V7), P_sdtpldt0-{F}(V7,V0,V3), P_sz00-{F}(V8), P_sz10-{F}(V9), P_sdtmndt0-{F}(V3,V3,V10), V0 == V10 | FALSE
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #1018: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V18, V18 == V20, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V19, V19 == V21; #1003 ), references = 2, size of lhs = 13:
% 161.57/161.75 aNaturalNumber0-{F}(V0), P_xn-{F}(V0), aNaturalNumber0-{F}(V1), P_sz00-{F}(V1), P_xp-{F}(V2), V2 == V1, aNaturalNumber0-{F}(V2), P_xm-{F}(V2), P_xr-{F}(V3), P_sdtpldt0-{F}(V3,V2,V0), P_sdtmndt0-{F}(V0,V2,V4), P_sdtasdt0-{F}(V3,V2,V5), P_sz10-{F}(V6) | FALSE
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #1024: exists( #97, #627 ), references = 2, size of lhs = 9:
% 161.57/161.75 aNaturalNumber0-{F}(V0), P_xn-{F}(V0), P_xr-{F}(V0), aNaturalNumber0-{F}(V1), P_xm-{F}(V1), P_sz00-{F}(V2), P_sz10-{F}(V3), P_xp-{F}(V4), P_sdtmndt0-{F}(V0,V4,V5) | FALSE
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #1025: exists( #97, #657 ), references = 1, size of lhs = 10:
% 161.57/161.75 aNaturalNumber0-{F}(V0), P_xn-{F}(V0), aNaturalNumber0-{F}(V1), P_xm-{F}(V1), P_sz00-{F}(V2), P_sz10-{F}(V3), P_xp-{F}(V4), P_xr-{F}(V5), P_sdtmndt0-{F}(V0,V4,V6), V5 == V6 | FALSE
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #1027: exists( #103, #1022 ), references = 4, size of lhs = 8:
% 161.57/161.75 aNaturalNumber0-{F}(V0), P_xn-{F}(V0), aNaturalNumber0-{F}(V1), P_xm-{F}(V1), P_sz00-{F}(V2), P_sz10-{F}(V3), P_xp-{F}(V4), P_sdtmndt0-{F}(V0,V4,V5) | P_xr-{T}(V5)
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #1039: exists( #97, #198 ), references = 3, size of lhs = 10:
% 161.57/161.75 P_xn-{F}(V0), aNaturalNumber0-{F}(V0), P_xm-{F}(V1), P_xp-{F}(V2), V2 == V0, aNaturalNumber0-{F}(V2), sdtlseqdt0-{F}(V0,V2), P_sdtpldt0-{F}(V0,V1,V3), P_sz00-{F}(V4), P_sz10-{F}(V5) | FALSE
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #1040: exists( #97, #692 ), references = 3, size of lhs = 10:
% 161.57/161.75 aNaturalNumber0-{F}(V0), P_xm-{F}(V0), P_xn-{F}(V1), aNaturalNumber0-{F}(V1), P_xp-{F}(V2), V2 == V1, aNaturalNumber0-{F}(V2), sdtlseqdt0-{F}(V1,V2), P_sz00-{F}(V3), P_sz10-{F}(V4) | FALSE
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #1072: mergings( V0 == V3, V1 == V4; #1069 ), references = 1, size of lhs = 8:
% 161.57/161.75 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), V2 == V1, doDivides0-{F}(V2,V3), V3 == V0, V3 == V1, V2 == V3 | pppp9-{T}(V3,V1)
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #1146: mergings( V0 == V5, V5 == V7, V7 == V9, V9 == V14, V1 == V6, V6 == V8, V8 == V10, V10 == V15; #1135 ), references = 1, size of lhs = 14:
% 161.57/161.75 aNaturalNumber0-{F}(V0), P_sz10-{F}(V0), aNaturalNumber0-{F}(V1), pppp0-{F}(V1,V2), P_xp-{F}(V2), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V1,V0,V3), V2 == V3, P_xn-{F}(V3), aNaturalNumber0-{F}(V3), P_sdtpldt0-{F}(V0,V1,V4), aNaturalNumber0-{F}(V5), P_xm-{F}(V5), P_sz00-{F}(V6) | pppp5-{T}(V1,V2,V6), pppp5-{T}(V1,V2,V0)
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #1155: mergings( V0 == V5, V5 == V7, V7 == V9, V9 == V15, V1 == V6, V6 == V8, V8 == V10, V10 == V16; #1136 ), references = 1, size of lhs = 14:
% 161.57/161.75 aNaturalNumber0-{F}(V0), P_sz10-{F}(V0), aNaturalNumber0-{F}(V1), pppp0-{F}(V1,V2), P_xp-{F}(V2), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V1,V0,V3), V2 == V3, P_xn-{F}(V3), aNaturalNumber0-{F}(V3), P_sdtpldt0-{F}(V0,V1,V4), P_xm-{F}(V5), P_sdtpldt0-{F}(V3,V5,V6), P_sz00-{F}(V7) | pppp5-{T}(V1,V2,V7), pppp5-{T}(V1,V2,V0)
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #1164: mergings( V0 == V5, V5 == V7, V7 == V9, V9 == V15, V1 == V6, V6 == V8, V8 == V10, V10 == V16; #1137 ), references = 1, size of lhs = 15:
% 161.57/161.75 aNaturalNumber0-{F}(V0), P_sz10-{F}(V0), aNaturalNumber0-{F}(V1), pppp0-{F}(V1,V2), P_xp-{F}(V2), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V1,V0,V3), V2 == V3, P_xn-{F}(V3), aNaturalNumber0-{F}(V3), P_sdtpldt0-{F}(V0,V1,V4), aNaturalNumber0-{F}(V5), P_xm-{F}(V5), P_sdtasdt0-{F}(V3,V5,V6), P_sz00-{F}(V7) | pppp5-{T}(V1,V2,V7), pppp5-{T}(V1,V2,V0)
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #1175: mergings( V0 == V2, V2 == V4, V4 == V6, V6 == V13, V1 == V3, V3 == V5, V5 == V7, V7 == V14, V15 == V8; #1165 ), references = 2, size of lhs = 16:
% 161.57/161.75 aNaturalNumber0-{F}(V0), P_sz10-{F}(V0), aNaturalNumber0-{F}(V1), pppp0-{F}(V1,V2), V1 == V2, P_xp-{F}(V2), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V1,V0,V3), V2 == V3, P_xn-{F}(V3), aNaturalNumber0-{F}(V3), P_sdtpldt0-{F}(V0,V1,V4), aNaturalNumber0-{F}(V5), P_xm-{F}(V5), P_sz00-{F}(V6), P_sdtpldt0-{F}(V1,V6,V1) | pppp5-{T}(V1,V2,V0)
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #1188: mergings( V3 == V6, V6 == V7, V7 == V9, V4 == V5, V5 == V8, V8 == V10; #1181 ), references = 1, size of lhs = 17:
% 161.57/161.75 aNaturalNumber0-{F}(V0), P_sz10-{F}(V0), aNaturalNumber0-{F}(V1), aNaturalNumber0-{F}(V2), P_sz00-{F}(V3), aNaturalNumber0-{F}(V4), V4 == V3, aNaturalNumber0-{F}(V5), doDivides0-{F}(V4,V5), P_sdtsldt0-{F}(V5,V4,V0), P_sdtasdt0-{F}(V5,V2,V6), P_sdtasdt0-{F}(V5,V1,V7), P_sdtpldt0-{F}(V6,V7,V8), P_sdtasdt0-{F}(V2,V5,V9), P_sdtasdt0-{F}(V1,V5,V10), P_sdtpldt0-{F}(V9,V10,V11), P_sdtsldt0-{F}(V8,V4,V12) | P_sdtpldt0-{T}(V2,V1,V12)
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #1249: exists( #97, #55 ), references = 2, size of lhs = 1:
% 161.57/161.75 pppp6-{F}(V0,V1,V2) | P_sdtasdt0-{T}(V0,V2,V1)
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #1275: mergings( V0 == V5, V5 == V7, V1 == V6, V6 == V8; #1270 ), references = 1, size of lhs = 8:
% 161.57/161.75 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), V2 == V0, pppp2-{F}(V2,V3), aNaturalNumber0-{F}(V3), doDivides0-{F}(V2,V3), P_sdtsldt0-{F}(V3,V2,V4) | pppp6-{T}(V2,V3,V4)
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #1430: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V13, V4 == V6, V6 == V8, V8 == V10, V10 == V14; #1421 ), references = 1, size of lhs = 12:
% 161.57/161.75 aNaturalNumber0-{F}(V0), P_sz10-{F}(V0), aNaturalNumber0-{F}(V1), pppp0-{F}(V1,V2), sdtlseqdt0-{F}(V1,V2), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V1,V0,V3), V2 == V3, aNaturalNumber0-{F}(V3), sdtlseqdt0-{F}(V2,V3), P_sdtpldt0-{F}(V0,V1,V4), P_sz00-{F}(V5) | P_sdtmndt0-{T}(V2,V1,V5), P_sdtmndt0-{T}(V2,V1,V0)
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #1446: mergings( V0 == V2, V2 == V4, V4 == V6, V6 == V12, V12 == V14, V1 == V3, V3 == V5, V5 == V7, V7 == V13, V13 == V15, V16 == V8; #1433 ), references = 1, size of lhs = 14:
% 161.57/161.75 aNaturalNumber0-{F}(V0), P_sz10-{F}(V0), aNaturalNumber0-{F}(V1), P_sz00-{F}(V2), aNaturalNumber0-{F}(V3), V3 == V1, sdtlseqdt0-{F}(V3,V1), aNaturalNumber0-{F}(V4), V4 == V3, P_sdtpldt0-{F}(V4,V0,V1), pppp0-{F}(V4,V3), sdtlseqdt0-{F}(V4,V3), P_sdtpldt0-{F}(V4,V2,V4), P_sdtpldt0-{F}(V0,V4,V5) | P_sdtmndt0-{T}(V3,V4,V0)
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #1460: mergings( V0 == V2, V2 == V4, V4 == V6, V6 == V12, V12 == V14, V14 == V16, V1 == V3, V3 == V5, V5 == V7, V7 == V13, V13 == V15, V15 == V17, V18 == V8; #1434 ), references = 1, size of lhs = 14:
% 161.57/161.75 aNaturalNumber0-{F}(V0), P_sz10-{F}(V0), aNaturalNumber0-{F}(V1), aNaturalNumber0-{F}(V2), V2 == V1, sdtlseqdt0-{F}(V2,V1), aNaturalNumber0-{F}(V3), V3 == V2, pppp0-{F}(V3,V2), P_sdtpldt0-{F}(V3,V0,V1), sdtlseqdt0-{F}(V3,V2), P_sdtpldt0-{F}(V0,V3,V4), P_sz00-{F}(V5), P_sdtpldt0-{F}(V3,V5,V3) | P_sdtmndt0-{T}(V2,V3,V0)
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #1545: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V13, V13 == V15, V15 == V18, V18 == V21, V21 == V25, V4 == V6, V6 == V8, V8 == V10, V10 == V14, V14 == V16, V16 == V17, V17 == V19, V19 == V22, V22 == V26; #1527 ), references = 1, size of lhs = 21:
% 161.57/161.75 aNaturalNumber0-{F}(V0), P_sz10-{F}(V0), aNaturalNumber0-{F}(V1), pppp0-{F}(V1,V2), sdtlseqdt0-{F}(V1,V2), aNaturalNumber0-{F}(V2), sdtlseqdt0-{F}(V2,V2), P_sdtpldt0-{F}(V1,V0,V3), P_xp-{F}(V3), aNaturalNumber0-{F}(V3), P_sdtpldt0-{F}(V0,V1,V4), aNaturalNumber0-{F}(V5), P_xm-{F}(V5), P_sz00-{F}(V5), P_xr-{F}(V6), P_sdtmndt0-{F}(V2,V3,V6), P_xn-{F}(V7), P_sdtpldt0-{F}(V7,V5,V2), P_sdtmndt0-{F}(V7,V3,V8), P_sdtmndt0-{F}(V2,V2,V9), V3 == V9 | P_sdtmndt0-{T}(V2,V1,V5), P_sdtmndt0-{T}(V2,V1,V0)
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #1570: mergings( V0 == V2, V2 == V4, V4 == V6, V6 == V12, V12 == V14, V14 == V17, V17 == V20, V20 == V24, V24 == V27, V1 == V3, V3 == V5, V5 == V7, V7 == V13, V13 == V15, V15 == V16, V16 == V18, V18 == V21, V21 == V25, V25 == V28, V29 == V8; #1548 ), references = 1, size of lhs = 23:
% 161.57/161.75 aNaturalNumber0-{F}(V0), P_sz10-{F}(V0), P_xp-{F}(V1), aNaturalNumber0-{F}(V1), aNaturalNumber0-{F}(V2), P_xm-{F}(V2), P_sz00-{F}(V2), P_xr-{F}(V3), P_xn-{F}(V4), P_sdtpldt0-{F}(V4,V2,V5), sdtlseqdt0-{F}(V5,V5), P_sdtmndt0-{F}(V5,V1,V3), aNaturalNumber0-{F}(V5), P_sdtmndt0-{F}(V4,V1,V6), P_sdtmndt0-{F}(V5,V5,V7), V1 == V7, aNaturalNumber0-{F}(V8), V8 == V5, P_sdtpldt0-{F}(V8,V0,V1), pppp0-{F}(V8,V5), sdtlseqdt0-{F}(V8,V5), P_sdtpldt0-{F}(V8,V2,V8), P_sdtpldt0-{F}(V0,V8,V9) | P_sdtmndt0-{T}(V5,V8,V0)
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #1593: mergings( V0 == V2, V2 == V4, V4 == V6, V6 == V12, V12 == V14, V14 == V17, V17 == V20, V20 == V24, V24 == V27, V27 == V29, V1 == V3, V3 == V5, V5 == V7, V7 == V13, V13 == V15, V15 == V16, V16 == V18, V18 == V21, V21 == V25, V25 == V28, V28 == V30, V31 == V8; #1549 ), references = 1, size of lhs = 23:
% 161.57/161.75 aNaturalNumber0-{F}(V0), P_sz10-{F}(V0), P_xp-{F}(V1), aNaturalNumber0-{F}(V1), aNaturalNumber0-{F}(V2), P_xm-{F}(V2), P_sz00-{F}(V2), P_xr-{F}(V3), P_xn-{F}(V4), P_sdtpldt0-{F}(V4,V2,V5), sdtlseqdt0-{F}(V5,V5), P_sdtmndt0-{F}(V5,V1,V3), aNaturalNumber0-{F}(V5), P_sdtmndt0-{F}(V4,V1,V6), P_sdtmndt0-{F}(V5,V5,V7), V1 == V7, aNaturalNumber0-{F}(V8), V8 == V5, pppp0-{F}(V8,V5), P_sdtpldt0-{F}(V8,V0,V1), sdtlseqdt0-{F}(V8,V5), P_sdtpldt0-{F}(V8,V2,V8), P_sdtpldt0-{F}(V0,V8,V9) | P_sdtmndt0-{T}(V5,V8,V0)
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #1664: mergings( V3 == V8, V8 == V10, V10 == V13, V13 == V16, V16 == V20, V4 == V9, V9 == V11, V11 == V12, V12 == V14, V14 == V17, V17 == V21, V5 == V18, V15 == V19, V6 == V20, V0 == V18; #1647 ), references = 1, size of lhs = 15:
% 161.57/161.75 aNaturalNumber0-{F}(V0), sdtlseqdt0-{F}(V0,V0), P_xn-{F}(V0), aNaturalNumber0-{F}(V1), P_xm-{F}(V1), P_sdtpldt0-{F}(V0,V1,V0), P_sz00-{F}(V1), P_sdtasdt0-{F}(V0,V1,V2), P_xr-{F}(V3), P_xp-{F}(V4), aNaturalNumber0-{F}(V4), P_sdtmndt0-{F}(V0,V4,V3), P_sz10-{F}(V5), P_sdtmndt0-{F}(V0,V0,V6), V4 == V6 | FALSE
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #1685: mergings( V1 == V4, V4 == V12, V12 == V14, V14 == V17, V17 == V19, V19 == V22, V2 == V5, V5 == V13, V13 == V15, V15 == V16, V16 == V18, V18 == V20, V20 == V23, V3 == V9, V7 == V10, V8 == V11, V9 == V22, V10 == V6; #1666 ), references = 1, size of lhs = 13:
% 161.57/161.75 aNaturalNumber0-{F}(V0), sdtlseqdt0-{F}(V0,V0), P_xn-{F}(V0), aNaturalNumber0-{F}(V1), P_xm-{F}(V1), P_sdtpldt0-{F}(V0,V1,V0), P_sz00-{F}(V1), P_sdtasdt0-{F}(V0,V1,V2), P_xp-{F}(V3), aNaturalNumber0-{F}(V3), P_sz10-{F}(V4), P_sdtmndt0-{F}(V0,V0,V5), V3 == V5 | FALSE
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #1722: mergings( V1 == V4, V4 == V8, V8 == V11, V11 == V14, V14 == V16, V16 == V18, V18 == V21, V21 == V23, V23 == V26, V26 == V28, V28 == V30, V2 == V5, V5 == V9, V9 == V10, V10 == V12, V12 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V22, V22 == V24, V24 == V25, V25 == V27, V27 == V29, V29 == V31, V6 == V20, V3 == V7, V7 == V30; #1693 ), references = 1, size of lhs = 5:
% 161.57/161.75 P_xn-{F}(V0), aNaturalNumber0-{F}(V1), P_xm-{F}(V1), P_sz00-{F}(V1), P_sz10-{F}(V2) | P_xp-{T}(V1)
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #1786: exists( #96, #6 ), references = 2, size of lhs = 8:
% 161.57/161.75 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)
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #1837: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V12, V12 == V14, V14 == V16, V16 == V18, V4 == V6, V6 == V8, V8 == V10, V10 == V13, V13 == V15, V15 == V17, V17 == V19; #1820 ), references = 1, size of lhs = 11:
% 161.57/161.75 aNaturalNumber0-{F}(V0), P_sz10-{F}(V0), aNaturalNumber0-{F}(V1), aNaturalNumber0-{F}(V2), P_sz00-{F}(V3), P_sdtmndt0-{F}(V2,V1,V4), pppp0-{F}(V4,V2), sdtlseqdt0-{F}(V4,V2), P_sdtpldt0-{F}(V4,V0,V1), aNaturalNumber0-{F}(V4), P_sdtpldt0-{F}(V0,V4,V5) | P_sdtmndt0-{T}(V2,V4,V3), P_sdtmndt0-{T}(V2,V4,V0), P_sdtmndt0-{T}(V2,V4,V1)
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #1852: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V12, V12 == V14, V14 == V16, V16 == V18, V4 == V6, V6 == V8, V8 == V10, V10 == V13, V13 == V15, V15 == V17, V17 == V19; #1821 ), references = 1, size of lhs = 11:
% 161.57/161.75 aNaturalNumber0-{F}(V0), P_sz10-{F}(V0), aNaturalNumber0-{F}(V1), aNaturalNumber0-{F}(V2), P_sz00-{F}(V3), P_sdtmndt0-{F}(V2,V1,V4), pppp0-{F}(V4,V2), sdtlseqdt0-{F}(V4,V2), P_sdtpldt0-{F}(V4,V0,V1), aNaturalNumber0-{F}(V4), P_sdtpldt0-{F}(V0,V4,V5) | P_sdtmndt0-{T}(V2,V4,V3), P_sdtmndt0-{T}(V2,V4,V0), P_sdtmndt0-{T}(V2,V4,V1)
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #1867: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V13, V13 == V15, V15 == V17, V17 == V19, V4 == V6, V6 == V8, V8 == V10, V10 == V14, V14 == V16, V16 == V18, V18 == V20; #1822 ), references = 1, size of lhs = 11:
% 161.57/161.75 aNaturalNumber0-{F}(V0), P_sz10-{F}(V0), aNaturalNumber0-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtmndt0-{F}(V1,V2,V3), pppp0-{F}(V3,V1), P_sdtpldt0-{F}(V3,V0,V2), aNaturalNumber0-{F}(V3), sdtlseqdt0-{F}(V3,V1), P_sdtpldt0-{F}(V0,V3,V4), P_sz00-{F}(V5) | P_sdtmndt0-{T}(V1,V3,V5), P_sdtmndt0-{T}(V1,V3,V0), P_sdtmndt0-{T}(V1,V3,V2)
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #1898: mergings( V0 == V2, V2 == V4, V4 == V6, V6 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V20, V20 == V23, V1 == V3, V3 == V5, V5 == V7, V7 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V21, V21 == V24, V8 == V25, V22 == V18; #1874 ), references = 1, size of lhs = 14:
% 161.57/161.75 aNaturalNumber0-{F}(V0), P_sz10-{F}(V0), aNaturalNumber0-{F}(V1), P_sz00-{F}(V2), aNaturalNumber0-{F}(V3), V1 == V3, P_sdtmndt0-{F}(V3,V1,V4), V4 == V3, aNaturalNumber0-{F}(V4), pppp0-{F}(V4,V3), sdtlseqdt0-{F}(V4,V3), P_sdtpldt0-{F}(V4,V2,V4), P_sdtpldt0-{F}(V4,V0,V1), P_sdtpldt0-{F}(V0,V4,V5) | P_sdtmndt0-{T}(V3,V4,V1)
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #1921: mergings( V0 == V2, V2 == V4, V4 == V6, V6 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V20, V20 == V23, V23 == V25, V1 == V3, V3 == V5, V5 == V7, V7 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V21, V21 == V24, V24 == V26, V8 == V27, V22 == V18; #1875 ), references = 1, size of lhs = 14:
% 161.57/161.75 aNaturalNumber0-{F}(V0), P_sz10-{F}(V0), aNaturalNumber0-{F}(V1), aNaturalNumber0-{F}(V2), V1 == V2, P_sdtmndt0-{F}(V2,V1,V3), V3 == V2, pppp0-{F}(V3,V2), aNaturalNumber0-{F}(V3), sdtlseqdt0-{F}(V3,V2), P_sdtpldt0-{F}(V3,V0,V1), P_sdtpldt0-{F}(V0,V3,V4), P_sz00-{F}(V5), P_sdtpldt0-{F}(V3,V5,V3) | P_sdtmndt0-{T}(V2,V3,V1)
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #1944: mergings( V0 == V2, V2 == V4, V4 == V6, V6 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V20, V20 == V22, V22 == V25, V1 == V3, V3 == V5, V5 == V7, V7 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V21, V21 == V23, V23 == V26, V8 == V27, V24 == V18; #1876 ), references = 1, size of lhs = 14:
% 161.57/161.75 aNaturalNumber0-{F}(V0), P_sz10-{F}(V0), aNaturalNumber0-{F}(V1), P_sz00-{F}(V2), aNaturalNumber0-{F}(V3), V1 == V3, P_sdtmndt0-{F}(V3,V1,V4), V4 == V3, aNaturalNumber0-{F}(V4), pppp0-{F}(V4,V3), sdtlseqdt0-{F}(V4,V3), P_sdtpldt0-{F}(V4,V2,V4), P_sdtpldt0-{F}(V4,V0,V1), P_sdtpldt0-{F}(V0,V4,V5) | P_sdtmndt0-{T}(V3,V4,V1)
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #2004: exists( #99, #66 ), references = 1, size of lhs = 10:
% 161.57/161.75 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), V2 == V0, aNaturalNumber0-{F}(V3), doDivides0-{F}(V2,V3), P_sdtsldt0-{F}(V3,V2,V4), aNaturalNumber0-{F}(V5), P_sdtasdt0-{F}(V5,V4,V6), P_sdtasdt0-{F}(V5,V3,V7) | P_sdtsldt0-{T}(V7,V2,V6)
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #2050: mergings( V0 == V5, V5 == V7, V7 == V9, V9 == V13, V13 == V19, V1 == V6, V6 == V8, V8 == V10, V10 == V14, V14 == V15, V16 == V20; #2038 ), references = 1, size of lhs = 19:
% 161.57/161.75 aNaturalNumber0-{F}(V0), pppp0-{F}(V0,V1), P_xp-{F}(V1), aNaturalNumber0-{F}(V1), aNaturalNumber0-{F}(V2), V2 == V1, aNaturalNumber0-{F}(V3), P_sdtpldt0-{F}(V0,V3,V2), P_sz10-{F}(V3), P_sdtpldt0-{F}(V3,V0,V4), P_xn-{F}(V5), V5 == V1, aNaturalNumber0-{F}(V5), P_sdtpldt0-{F}(V2,V3,V5), P_sdtpldt0-{F}(V3,V2,V6), aNaturalNumber0-{F}(V7), P_xm-{F}(V7), P_sz00-{F}(V8), P_sdtpldt0-{F}(V2,V8,V2) | pppp5-{T}(V0,V1,V8), pppp5-{T}(V0,V1,V3)
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #2064: mergings( V0 == V2, V2 == V4, V4 == V6, V6 == V12, V12 == V18, V1 == V3, V3 == V5, V5 == V7, V7 == V13, V13 == V14, V15 == V19, V20 == V8; #2051 ), references = 1, size of lhs = 21:
% 161.57/161.75 aNaturalNumber0-{F}(V0), pppp0-{F}(V0,V1), V0 == V1, P_xp-{F}(V1), aNaturalNumber0-{F}(V1), aNaturalNumber0-{F}(V2), V2 == V1, aNaturalNumber0-{F}(V3), P_sdtpldt0-{F}(V0,V3,V2), P_sz10-{F}(V3), P_sdtpldt0-{F}(V3,V0,V4), P_xn-{F}(V5), V5 == V1, aNaturalNumber0-{F}(V5), P_sdtpldt0-{F}(V2,V3,V5), P_sdtpldt0-{F}(V3,V2,V6), aNaturalNumber0-{F}(V7), P_xm-{F}(V7), P_sz00-{F}(V8), P_sdtpldt0-{F}(V2,V8,V2), P_sdtpldt0-{F}(V0,V8,V0) | pppp5-{T}(V0,V1,V3)
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #2179: mergings( V0 == V4, V4 == V7, V1 == V5, V5 == V8; #2174 ), references = 1, size of lhs = 7:
% 161.57/161.75 aNaturalNumber0-{F}(V0), aNaturalNumber0-{F}(V1), P_sdtmndt0-{F}(V0,V1,V2), P_sz00-{F}(V3), P_sz10-{F}(V4), P_sdtpldt0-{F}(V1,V2,V5), V5 == V0 | sdtlseqdt0-{T}(V0,V1)
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #2197: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V14, V4 == V6, V6 == V8, V8 == V10, V10 == V15; #2186 ), references = 1, size of lhs = 11:
% 161.57/161.75 aNaturalNumber0-{F}(V0), P_xn-{F}(V1), aNaturalNumber0-{F}(V1), P_xm-{F}(V2), P_xp-{F}(V3), V3 == V1, aNaturalNumber0-{F}(V3), P_sdtmndt0-{F}(V1,V3,V0), P_sdtpldt0-{F}(V1,V2,V4), P_sz00-{F}(V5), P_sz10-{F}(V6) | P_sdtpldt0-{T}(V0,V3,V1)
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #2206: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V13, V4 == V6, V6 == V8, V8 == V10, V10 == V14; #2187 ), references = 1, size of lhs = 11:
% 161.57/161.75 aNaturalNumber0-{F}(V0), aNaturalNumber0-{F}(V1), P_xm-{F}(V1), P_xn-{F}(V2), aNaturalNumber0-{F}(V2), P_xp-{F}(V3), V3 == V2, aNaturalNumber0-{F}(V3), P_sdtmndt0-{F}(V2,V3,V0), P_sz00-{F}(V4), P_sz10-{F}(V5) | P_sdtpldt0-{T}(V0,V3,V2)
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #2215: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V15, V4 == V6, V6 == V8, V8 == V10, V10 == V16; #2188 ), references = 1, size of lhs = 12:
% 161.57/161.75 aNaturalNumber0-{F}(V0), P_xn-{F}(V1), aNaturalNumber0-{F}(V1), P_xm-{F}(V2), P_xp-{F}(V3), V3 == V1, aNaturalNumber0-{F}(V3), P_sdtmndt0-{F}(V1,V3,V0), P_sdtpldt0-{F}(V1,V2,V4), P_sdtasdt0-{F}(V1,V2,V5), P_sz00-{F}(V6), P_sz10-{F}(V7) | P_sdtpldt0-{T}(V0,V3,V1)
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #2238: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V17, V4 == V6, V6 == V8, V8 == V10, V10 == V18; #2229 ), references = 2, size of lhs = 18:
% 161.57/161.75 aNaturalNumber0-{F}(V0), P_xm-{F}(V0), aNaturalNumber0-{F}(V1), P_xr-{F}(V1), P_xp-{F}(V2), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V2,V1,V3), P_sdtpldt0-{F}(V3,V0,V4), aNaturalNumber0-{F}(V4), sdtlseqdt0-{F}(V4,V4), P_xn-{F}(V5), P_sdtpldt0-{F}(V5,V0,V4), P_sdtmndt0-{F}(V5,V2,V6), P_sdtasdt0-{F}(V1,V0,V7), P_sz00-{F}(V8), P_sz10-{F}(V9), P_sdtmndt0-{F}(V4,V4,V10), V2 == V10 | FALSE
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #2269: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V24, V24 == V28, V28 == V33, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V17, V17 == V19, V19 == V21, V21 == V23, V23 == V25, V25 == V29, V29 == V34, V1 == V14, V13 == V15, V14 == V26, V15 == V31; #2242 ), references = 1, size of lhs = 17:
% 161.57/161.75 aNaturalNumber0-{F}(V0), P_xn-{F}(V0), aNaturalNumber0-{F}(V1), P_xm-{F}(V1), aNaturalNumber0-{F}(V2), P_xr-{F}(V2), P_xp-{F}(V3), V3 == V0, aNaturalNumber0-{F}(V3), aNaturalNumber0-{F}(V4), sdtlseqdt0-{F}(V4,V4), P_sdtpldt0-{F}(V0,V1,V4), P_sdtasdt0-{F}(V2,V1,V5), P_sz00-{F}(V6), P_sz10-{F}(V7), P_sdtmndt0-{F}(V4,V4,V8), V3 == V8 | FALSE
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #2308: mergings( 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, V31 == V34, V34 == V38, 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, V32 == V35, V35 == V39; #2275 ), references = 2, size of lhs = 14:
% 161.57/161.75 aNaturalNumber0-{F}(V0), P_sz00-{F}(V0), aNaturalNumber0-{F}(V1), P_xn-{F}(V1), aNaturalNumber0-{F}(V2), P_xm-{F}(V2), aNaturalNumber0-{F}(V3), P_xr-{F}(V3), P_xp-{F}(V4), V4 == V1, V4 == V0, aNaturalNumber0-{F}(V4), P_sdtasdt0-{F}(V3,V2,V5), P_sz10-{F}(V6) | FALSE
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #2311: exists( #97, #2308 ), references = 2, size of lhs = 13:
% 161.57/161.75 aNaturalNumber0-{F}(V0), P_sz00-{F}(V0), aNaturalNumber0-{F}(V1), P_xn-{F}(V1), aNaturalNumber0-{F}(V2), P_xm-{F}(V2), aNaturalNumber0-{F}(V3), P_xr-{F}(V3), P_xp-{F}(V4), V4 == V1, V4 == V0, aNaturalNumber0-{F}(V4), P_sz10-{F}(V5) | FALSE
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #2447: mergings( V0 == V5, V1 == V6; #2442 ), references = 2, size of lhs = 9:
% 161.57/161.75 aNaturalNumber0-{F}(V0), P_xm-{F}(V0), P_xn-{F}(V1), aNaturalNumber0-{F}(V1), P_xp-{F}(V2), V2 == V1, aNaturalNumber0-{F}(V2), P_sz00-{F}(V3), P_sz10-{F}(V4) | sdtlseqdt0-{T}(V2,V1)
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #2476: mergings( V3 == V7, V7 == V10, V4 == V8, V8 == V14, V0 == V11, V1 == V12, V5 == V13; #2468 ), references = 1, size of lhs = 15:
% 161.57/161.75 P_xr-{F}(V0), aNaturalNumber0-{F}(V1), P_sz00-{F}(V1), aNaturalNumber0-{F}(V2), P_xn-{F}(V2), aNaturalNumber0-{F}(V3), P_xm-{F}(V3), P_sdtpldt0-{F}(V2,V3,V4), P_xp-{F}(V5), V5 == V2, V5 == V1, pppp0-{F}(V5,V2), sdtlseqdt0-{F}(V5,V2), aNaturalNumber0-{F}(V5), P_sz10-{F}(V6) | FALSE
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #2485: mergings( V3 == V6, V6 == V9, V4 == V7, V7 == V13, V0 == V10, V1 == V11, V5 == V12; #2477 ), references = 1, size of lhs = 14:
% 161.57/161.75 P_xr-{F}(V0), aNaturalNumber0-{F}(V1), P_sz00-{F}(V1), aNaturalNumber0-{F}(V2), P_xn-{F}(V2), aNaturalNumber0-{F}(V3), P_xm-{F}(V3), P_xp-{F}(V4), V4 == V2, V4 == V1, pppp0-{F}(V4,V2), sdtlseqdt0-{F}(V4,V2), aNaturalNumber0-{F}(V4), P_sz10-{F}(V5) | FALSE
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #2494: mergings( V1 == V6, V6 == V8, V2 == V7, V7 == V12, V3 == V9, V4 == V10, V5 == V11; #2486 ), references = 2, size of lhs = 13:
% 161.57/161.75 aNaturalNumber0-{F}(V0), P_sz00-{F}(V0), aNaturalNumber0-{F}(V1), P_xn-{F}(V1), aNaturalNumber0-{F}(V2), P_xm-{F}(V2), P_xp-{F}(V3), V3 == V1, V3 == V0, pppp0-{F}(V3,V1), sdtlseqdt0-{F}(V3,V1), aNaturalNumber0-{F}(V3), P_sz10-{F}(V4) | FALSE
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #2518: mergings( V1 == V4, V4 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V17, V17 == V19, V2 == V5, V5 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V18, V18 == V21, V6 == V20, V3 == V7, V7 == V16, V16 == V20; #2499 ), references = 1, size of lhs = 5:
% 161.57/161.75 aNaturalNumber0-{F}(V0), P_sz00-{F}(V0), P_xn-{F}(V1), P_xm-{F}(V1), P_sz10-{F}(V2) | P_xp-{T}(V1), P_xp-{T}(V0)
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #2565: mergings( V0 == V3, V3 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V16, V16 == V18, V18 == V21, V21 == V24, V24 == V27, V27 == V30, V30 == V33, V33 == V35, V35 == V37, V1 == V4, V4 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V17, V17 == V20, V20 == V22, V22 == V25, V25 == V26, V26 == V28, V28 == V29, V29 == V31, V31 == V32, V32 == V34, V34 == V36, V36 == V38, V5 == V19, V2 == V6, V6 == V15, V15 == V23, V23 == V19; #2528 ), references = 1, size of lhs = 6:
% 161.57/161.75 P_xn-{F}(V0), P_xm-{F}(V0), aNaturalNumber0-{F}(V1), V0 == V1, P_sz00-{F}(V1), P_sz10-{F}(V2) | P_xp-{T}(V1)
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #2608: mergings( V1 == V4, V4 == V7, V7 == V11, V11 == V13, V13 == V15, V2 == V5, V5 == V8, V8 == V12, V12 == V14, V14 == V18, V6 == V9, V9 == V16, V3 == V10, V10 == V17; #2593 ), references = 1, size of lhs = 5:
% 161.57/161.75 aNaturalNumber0-{F}(V0), P_sz00-{F}(V0), P_xn-{F}(V1), P_xm-{F}(V2), P_sz10-{F}(V3) | P_xp-{T}(V1), P_xp-{T}(V0)
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #2638: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V17, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V18; #2626 ), references = 1, size of lhs = 15:
% 161.57/161.75 aNaturalNumber0-{F}(V0), P_xn-{F}(V0), aNaturalNumber0-{F}(V1), P_sz00-{F}(V1), aNaturalNumber0-{F}(V2), P_xm-{F}(V2), aNaturalNumber0-{F}(V3), P_xr-{F}(V3), P_xp-{F}(V4), V4 == V1, aNaturalNumber0-{F}(V4), P_sdtpldt0-{F}(V4,V3,V0), P_sdtmndt0-{F}(V0,V4,V5), P_sdtasdt0-{F}(V3,V2,V6), P_sz10-{F}(V7) | FALSE
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #2651: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V18, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V19; #2627 ), references = 1, size of lhs = 13:
% 161.57/161.75 aNaturalNumber0-{F}(V0), P_sz00-{F}(V0), aNaturalNumber0-{F}(V1), P_xm-{F}(V1), P_xp-{F}(V2), V2 == V0, aNaturalNumber0-{F}(V2), P_xn-{F}(V2), P_xr-{F}(V3), P_sdtpldt0-{F}(V3,V1,V1), P_sdtmndt0-{F}(V2,V2,V4), P_sdtasdt0-{F}(V3,V1,V5), P_sz10-{F}(V6) | FALSE
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #2719: mergings( V0 == V3, V3 == V6, V6 == V10, V10 == V12, V12 == V14, V14 == V18, V18 == V21, V21 == V24, V24 == V27, V27 == V30, V30 == V32, V32 == V34, V34 == V36, V36 == V38, V38 == V40, V40 == V42, V42 == V44, V44 == V47, V1 == V4, V4 == V7, V7 == V11, V11 == V13, V13 == V17, V17 == V19, V19 == V22, V22 == V25, V25 == V26, V26 == V28, V28 == V29, V29 == V31, V31 == V33, V33 == V35, V35 == V37, V37 == V39, V39 == V41, V41 == V43, V43 == V45, V45 == V48, V5 == V8, V8 == V23, V23 == V15, V2 == V9, V9 == V16, V16 == V20, V20 == V46; #2672 ), references = 1, size of lhs = 6:
% 161.57/161.75 P_xn-{F}(V0), aNaturalNumber0-{F}(V1), V0 == V1, P_sz00-{F}(V1), P_xm-{F}(V2), P_sz10-{F}(V3) | P_xp-{T}(V1)
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #2807: mergings( V1 == V3, V3 == V6, V6 == V9, V9 == V11, V11 == V14, V14 == V16, V16 == V19, V19 == V22, V22 == V25, V25 == V27, V27 == V29, V29 == V31, V31 == V34, V34 == V36, V36 == V38, V38 == V40, V40 == V42, V42 == V44, V44 == V46, V46 == V50, V50 == V52, V52 == V54, V54 == V56, V56 == V58, V58 == V61, V61 == V63, V2 == V4, V4 == V7, V7 == V10, V10 == V12, V12 == V13, V13 == V15, V15 == V17, V17 == V20, V20 == V21, V21 == V23, V23 == V24, V24 == V26, V26 == V28, V28 == V30, V30 == V32, V32 == V35, V35 == V37, V37 == V39, V39 == V41, V41 == V43, V43 == V45, V45 == V47, V47 == V49, V49 == V51, V51 == V53, V53 == V55, V55 == V57, V57 == V59, V59 == V62, V62 == V64, V5 == V8, V8 == V18, V18 == V33, V33 == V48, V48 == V60; #2745 ), references = 1, size of lhs = 5:
% 161.57/161.75 aNaturalNumber0-{F}(V0), P_sz00-{F}(V0), P_xn-{F}(V1), V1 == V0, P_sz10-{F}(V2) | FALSE
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #2865: mergings( V1 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V12, V12 == V14, V14 == V16, V16 == V19, V19 == V22, V22 == V24, V24 == V26, V26 == V28, V28 == V30, V30 == V32, V32 == V34, V34 == V36, V36 == V38, V38 == V40, V40 == V42, V42 == V45, V45 == V47, V47 == V49, V49 == V51, V51 == V53, V53 == V55, V55 == V57, V2 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V18, V18 == V20, V20 == V21, V21 == V23, V23 == V25, V25 == V27, V27 == V29, V29 == V31, V31 == V33, V33 == V35, V35 == V37, V37 == V39, V39 == V41, V41 == V43, V43 == V44, V44 == V46, V46 == V48, V48 == V50, V50 == V52, V52 == V54, V54 == V56, V56 == V58; #2808 ), references = 1, size of lhs = 3:
% 161.57/161.75 aNaturalNumber0-{F}(V0), P_sz00-{F}(V0), P_sz10-{F}(V1) | P_xn-{T}(V0)
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #2894: 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, V16 == V17, V17 == V18, V18 == V19, V19 == V20, V20 == V21, V21 == V22, V22 == V23, V23 == V24, V24 == V25, V25 == V26, V26 == V27; #2867 ), references = 1, size of lhs = 2:
% 161.57/161.75 aNaturalNumber0-{F}(V0), P_sz00-{F}(V0) | FALSE
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 #2897: exists( #94, #2895 ), references = 1, size of lhs = 0:
% 161.57/161.75 FALSE | FALSE
% 161.57/161.75 (used 0 times, uses = {})
% 161.57/161.75
% 161.57/161.75 number of learnt formulas = 106
% 161.57/161.75
% 161.57/161.75
% 161.57/161.75 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 161.57/161.75
% 161.57/161.75 randbase = 1
%------------------------------------------------------------------------------