TSTP Solution File: NUM468+2 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : NUM468+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n012.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 06:12:33 EDT 2022
% Result : Theorem 133.56s 133.76s
% Output : Refutation 133.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : NUM468+2 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.11/0.31 % Computer : n012.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Fri Jul 22 23:32:37 EDT 2022
% 0.11/0.31 % CPUTime :
% 133.56/133.76 GeoParameters:
% 133.56/133.76
% 133.56/133.76 tptp_input = 1
% 133.56/133.76 tptp_output = 0
% 133.56/133.76 nonempty = 1
% 133.56/133.76 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 133.56/133.76 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 133.56/133.76
% 133.56/133.76
% 133.56/133.76 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 133.56/133.76 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 133.56/133.76
% 133.56/133.76 RuleSystem INPUT:
% 133.56/133.76
% 133.56/133.76 Initial Rules:
% 133.56/133.76 #0: input, references = 4, size of lhs = 1:
% 133.56/133.76 P_sz00-{F}(V0) | aNaturalNumber0-{T}(V0)
% 133.56/133.76 (used 0 times, uses = {})
% 133.56/133.76
% 133.56/133.76 #1: input, references = 3, size of lhs = 2:
% 133.56/133.76 P_sz00-{F}(V0), P_sz10-{F}(V1) | aNaturalNumber0-{T}(V1)
% 133.56/133.76 (used 0 times, uses = {})
% 133.56/133.76
% 133.56/133.76 #2: input, references = 3, size of lhs = 2:
% 133.56/133.76 P_sz00-{F}(V0), P_sz10-{F}(V0) | FALSE
% 133.56/133.76 (used 0 times, uses = {})
% 133.56/133.76
% 133.56/133.76 #3: input, references = 12, size of lhs = 5:
% 133.56/133.76 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V3,V2,V4), aNaturalNumber0-{F}(V3) | aNaturalNumber0-{T}(V4)
% 133.56/133.76 (used 0 times, uses = {})
% 133.56/133.76
% 133.56/133.76 #4: input, references = 3, size of lhs = 5:
% 133.56/133.76 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtasdt0-{F}(V3,V2,V4), aNaturalNumber0-{F}(V3) | aNaturalNumber0-{T}(V4)
% 133.56/133.76 (used 0 times, uses = {})
% 133.56/133.76
% 133.56/133.76 #5: input, references = 4, size of lhs = 7:
% 133.56/133.76 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
% 133.56/133.76 (used 0 times, uses = {})
% 133.56/133.76
% 133.56/133.76 #6: input, references = 4, size of lhs = 10:
% 133.56/133.76 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
% 133.56/133.76 (used 0 times, uses = {})
% 133.56/133.76
% 133.56/133.76 #7: input, references = 5, size of lhs = 6:
% 133.56/133.76 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
% 133.56/133.76 (used 0 times, uses = {})
% 133.56/133.76
% 133.56/133.76 #8: input, references = 4, size of lhs = 6:
% 133.56/133.76 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
% 133.56/133.76 (used 0 times, uses = {})
% 133.56/133.76
% 133.56/133.76 #9: input, references = 4, size of lhs = 7:
% 133.56/133.76 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
% 133.56/133.76 (used 0 times, uses = {})
% 133.56/133.76
% 133.56/133.76 #10: input, references = 4, size of lhs = 10:
% 133.56/133.76 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
% 133.56/133.76 (used 0 times, uses = {})
% 133.56/133.76
% 133.56/133.76 #11: input, references = 4, size of lhs = 6:
% 133.56/133.76 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
% 133.56/133.76 (used 0 times, uses = {})
% 133.56/133.76
% 133.56/133.76 #12: input, references = 3, size of lhs = 6:
% 133.56/133.76 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
% 133.56/133.76 (used 0 times, uses = {})
% 133.56/133.76
% 133.56/133.76 #13: input, references = 5, size of lhs = 6:
% 133.56/133.76 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
% 133.56/133.76 (used 0 times, uses = {})
% 133.56/133.76
% 133.56/133.76 #14: input, references = 3, size of lhs = 6:
% 133.56/133.76 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
% 133.56/133.76 (used 0 times, uses = {})
% 133.56/133.76
% 133.56/133.76 #15: input, references = 5, size of lhs = 15:
% 133.56/133.76 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
% 133.56/133.76 (used 0 times, uses = {})
% 133.56/133.76
% 133.56/133.76 #16: input, references = 5, size of lhs = 15:
% 133.56/133.76 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
% 133.56/133.76 (used 0 times, uses = {})
% 133.56/133.76
% 133.56/133.76 #17: input, references = 3, size of lhs = 10:
% 133.56/133.76 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
% 133.56/133.76 (used 0 times, uses = {})
% 133.56/133.76
% 133.56/133.76 #18: input, references = 3, size of lhs = 10:
% 133.56/133.76 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
% 133.56/133.76 (used 0 times, uses = {})
% 133.56/133.76
% 133.56/133.76 #19: input, references = 4, size of lhs = 11:
% 133.56/133.76 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
% 133.56/133.76 (used 0 times, uses = {})
% 133.56/133.76
% 133.56/133.76 #20: input, references = 4, size of lhs = 11:
% 133.56/133.76 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
% 133.56/133.76 (used 0 times, uses = {})
% 133.56/133.76
% 133.56/133.76 #21: input, references = 3, size of lhs = 6:
% 133.56/133.76 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V3,V2,V0), aNaturalNumber0-{F}(V3), V3 == V0 | FALSE
% 133.56/133.76 (used 0 times, uses = {})
% 133.56/133.76
% 133.56/133.76 #22: input, references = 4, size of lhs = 6:
% 133.56/133.76 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V3,V2,V0), aNaturalNumber0-{F}(V3), V2 == V0 | FALSE
% 133.56/133.76 (used 0 times, uses = {})
% 133.56/133.76
% 133.56/133.76 #23: input, references = 3, size of lhs = 7:
% 133.56/133.76 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
% 133.56/133.76 (used 0 times, uses = {})
% 133.56/133.76
% 133.56/133.76 #24: input, references = 3, size of lhs = 5:
% 133.56/133.76 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), sdtlseqdt0-{F}(V3,V2) | pppp0-{T}(V3,V2)
% 133.56/133.76 (used 0 times, uses = {})
% 133.56/133.76
% 133.56/133.76 #25: input, references = 3, size of lhs = 5:
% 133.56/133.76 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), pppp0-{F}(V3,V2) | sdtlseqdt0-{T}(V3,V2)
% 133.56/133.76 (used 0 times, uses = {})
% 133.56/133.76
% 133.56/133.76 #26: input, references = 4, size of lhs = 3:
% 133.56/133.76 P_sz00-{F}(V0), P_sz10-{F}(V1), pppp0-{F}(V2,V3) | EXISTS V4: pppp4-{T}(V2,V3,V4)
% 133.56/133.76 (used 0 times, uses = {})
% 133.56/133.76
% 133.56/133.76 #27: input, references = 3, size of lhs = 4:
% 133.56/133.76 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtpldt0-{F}(V2,V4,V3), aNaturalNumber0-{F}(V4) | pppp0-{T}(V2,V3)
% 133.56/133.76 (used 0 times, uses = {})
% 133.56/133.76
% 133.56/133.76 #28: input, references = 4, size of lhs = 3:
% 133.56/133.76 pppp4-{F}(V0,V1,V2), P_sdtpldt0-{F}(V0,V2,V3), V3 == V1 | FALSE
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 #29: input, references = 4, size of lhs = 2:
% 133.56/133.77 pppp4-{F}(V0,V1,V2), P_sdtpldt0-{F}(V0,V2,V3) | aNaturalNumber0-{T}(V2)
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 #30: input, references = 3, size of lhs = 6:
% 133.56/133.77 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)
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 #31: input, references = 5, size of lhs = 8:
% 133.56/133.77 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
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 #32: input, references = 3, size of lhs = 4:
% 133.56/133.77 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtpldt0-{F}(V2,V4,V5), pppp1-{F}(V2,V3,V4) | aNaturalNumber0-{T}(V4)
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 #33: input, references = 4, size of lhs = 5:
% 133.56/133.77 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtpldt0-{F}(V2,V4,V5), pppp1-{F}(V2,V3,V4), V5 == V3 | FALSE
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 #34: input, references = 4, size of lhs = 4:
% 133.56/133.77 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtpldt0-{F}(V2,V4,V3), aNaturalNumber0-{F}(V4) | pppp1-{T}(V2,V3,V4)
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 #35: input, references = 3, size of lhs = 3:
% 133.56/133.77 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2) | sdtlseqdt0-{T}(V2,V2)
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 #36: input, references = 4, size of lhs = 7:
% 133.56/133.77 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
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 #37: input, references = 3, size of lhs = 7:
% 133.56/133.77 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)
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 #38: input, references = 3, size of lhs = 3:
% 133.56/133.77 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V3) | sdtlseqdt0-{T}(V3,V3)
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 #39: input, references = 3, size of lhs = 4:
% 133.56/133.77 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3) | sdtlseqdt0-{T}(V3,V2), sdtlseqdt0-{T}(V2,V3)
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 #40: input, references = 3, size of lhs = 11:
% 133.56/133.77 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
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 #41: input, references = 3, size of lhs = 11:
% 133.56/133.77 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)
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 #42: input, references = 3, size of lhs = 11:
% 133.56/133.77 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
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 #43: input, references = 3, size of lhs = 11:
% 133.56/133.77 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)
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 #44: input, references = 3, size of lhs = 12:
% 133.56/133.77 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
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 #45: input, references = 3, size of lhs = 12:
% 133.56/133.77 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)
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 #46: input, references = 3, size of lhs = 12:
% 133.56/133.77 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
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 #47: input, references = 3, size of lhs = 12:
% 133.56/133.77 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)
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 #48: input, references = 5, size of lhs = 5:
% 133.56/133.77 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), V2 == V0, V2 == V1 | sdtlseqdt0-{T}(V1,V2)
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 #49: input, references = 4, size of lhs = 6:
% 133.56/133.77 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)
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 #50: input, references = 3, size of lhs = 6:
% 133.56/133.77 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), sdtlseqdt0-{F}(V3,V2), V3 == V2 | iLess0-{T}(V3,V2)
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 #51: input, references = 10, size of lhs = 5:
% 133.56/133.77 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), doDivides0-{F}(V3,V2) | pppp2-{T}(V3,V2)
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 #52: input, references = 3, size of lhs = 5:
% 133.56/133.77 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), pppp2-{F}(V3,V2) | doDivides0-{T}(V3,V2)
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 #53: input, references = 6, size of lhs = 3:
% 133.56/133.77 P_sz00-{F}(V0), P_sz10-{F}(V1), pppp2-{F}(V2,V3) | EXISTS V4: pppp5-{T}(V2,V3,V4)
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 #54: input, references = 3, size of lhs = 4:
% 133.56/133.77 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtasdt0-{F}(V2,V4,V5), aNaturalNumber0-{F}(V4) | pppp2-{T}(V2,V5)
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 #55: input, references = 5, size of lhs = 3:
% 133.56/133.77 pppp5-{F}(V0,V1,V2), P_sdtasdt0-{F}(V0,V2,V3), V1 == V3 | FALSE
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 #56: input, references = 11, size of lhs = 2:
% 133.56/133.77 pppp5-{F}(V0,V1,V2), P_sdtasdt0-{F}(V0,V2,V3) | aNaturalNumber0-{T}(V2)
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 #57: input, references = 4, size of lhs = 7:
% 133.56/133.77 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)
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 #58: input, references = 6, size of lhs = 9:
% 133.56/133.77 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
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 #59: input, references = 3, size of lhs = 4:
% 133.56/133.77 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtasdt0-{F}(V2,V4,V5), pppp3-{F}(V2,V3,V4) | aNaturalNumber0-{T}(V4)
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 #60: input, references = 4, size of lhs = 5:
% 133.56/133.77 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtasdt0-{F}(V2,V4,V5), pppp3-{F}(V2,V3,V4), V3 == V5 | FALSE
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 #61: input, references = 10, size of lhs = 4:
% 133.56/133.77 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtasdt0-{F}(V2,V4,V5), aNaturalNumber0-{F}(V4) | pppp3-{T}(V2,V5,V4)
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 #62: input, references = 3, size of lhs = 7:
% 133.56/133.77 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)
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 #63: input, references = 7, size of lhs = 5:
% 133.56/133.77 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xl-{F}(V2), P_xm-{F}(V3), P_xn-{F}(V4) | aNaturalNumber0-{T}(V2)
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 #64: input, references = 6, size of lhs = 5:
% 133.56/133.77 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xl-{F}(V2), P_xm-{F}(V3), P_xn-{F}(V4) | aNaturalNumber0-{T}(V3)
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 #65: input, references = 7, size of lhs = 5:
% 133.56/133.77 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xl-{F}(V2), P_xm-{F}(V3), P_xn-{F}(V4) | aNaturalNumber0-{T}(V4)
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 #66: input, references = 3, size of lhs = 5:
% 133.56/133.77 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xl-{F}(V2), P_xm-{F}(V3), P_xn-{F}(V4) | EXISTS V5: pppp6-{T}(V5,V2,V3)
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 #67: input, references = 9, size of lhs = 5:
% 133.56/133.77 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xl-{F}(V2), P_xm-{F}(V3), P_xn-{F}(V4) | doDivides0-{T}(V2,V3)
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 #68: input, references = 3, size of lhs = 5:
% 133.56/133.77 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xl-{F}(V2), P_xm-{F}(V3), P_xn-{F}(V4) | EXISTS V5: pppp7-{T}(V5,V2,V4)
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 #69: input, references = 7, size of lhs = 5:
% 133.56/133.77 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xl-{F}(V2), P_xm-{F}(V3), P_xn-{F}(V4) | doDivides0-{T}(V2,V4)
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 #70: input, references = 3, size of lhs = 3:
% 133.56/133.77 pppp7-{F}(V0,V1,V2), P_sdtasdt0-{F}(V1,V0,V3), V2 == V3 | FALSE
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 #71: input, references = 3, size of lhs = 2:
% 133.56/133.77 pppp7-{F}(V0,V1,V2), P_sdtasdt0-{F}(V1,V0,V3) | aNaturalNumber0-{T}(V0)
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 #72: input, references = 3, size of lhs = 3:
% 133.56/133.77 pppp6-{F}(V0,V1,V2), P_sdtasdt0-{F}(V1,V0,V3), V2 == V3 | FALSE
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 #73: input, references = 6, size of lhs = 2:
% 133.56/133.77 pppp6-{F}(V0,V1,V2), P_sdtasdt0-{F}(V1,V0,V3) | aNaturalNumber0-{T}(V0)
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 #74: input, references = 12, size of lhs = 12:
% 133.56/133.77 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xl-{F}(V2), P_xm-{F}(V3), P_xn-{F}(V4), P_sdtsldt0-{F}(V3,V2,V5), P_sdtasdt0-{F}(V2,V5,V6), P_sdtsldt0-{F}(V4,V2,V7), P_sdtasdt0-{F}(V2,V7,V8), P_sdtpldt0-{F}(V3,V4,V9), P_sdtpldt0-{F}(V5,V7,V10), P_sdtasdt0-{F}(V2,V10,V11) | pppp8-{T}(V0,V2,V3,V4,V5,V6,V7,V8,V9,V11)
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 #75: input, references = 8, size of lhs = 1:
% 133.56/133.77 pppp8-{F}(V0,V1,V2,V3,V4,V5,V6,V7,V9,V9) | FALSE
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 #76: input, references = 4, size of lhs = 2:
% 133.56/133.77 pppp8-{F}(V0,V1,V2,V3,V4,V5,V6,V7,V8,V9), V3 == V7 | FALSE
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 #77: input, references = 3, size of lhs = 1:
% 133.56/133.77 pppp8-{F}(V0,V1,V2,V3,V4,V5,V6,V7,V8,V9) | aNaturalNumber0-{T}(V6)
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 #78: input, references = 4, size of lhs = 2:
% 133.56/133.77 pppp8-{F}(V0,V1,V2,V3,V4,V5,V6,V7,V8,V9), V2 == V5 | FALSE
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 #79: input, references = 3, size of lhs = 1:
% 133.56/133.77 pppp8-{F}(V0,V1,V2,V3,V4,V5,V6,V7,V8,V9) | aNaturalNumber0-{T}(V4)
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 #80: input, references = 5, size of lhs = 1:
% 133.56/133.77 pppp8-{F}(V0,V0,V2,V3,V4,V5,V6,V7,V8,V9) | FALSE
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 #81: input, references = 4, size of lhs = 0:
% 133.56/133.77 FALSE | EXISTS V0: P_sz00-{T}(V0)
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 #82: input, references = 4, size of lhs = 0:
% 133.56/133.77 FALSE | EXISTS V0: P_sz10-{T}(V0)
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 #83: input, references = 18, size of lhs = 2:
% 133.56/133.77 #-{F} V0, #-{F} V1 | EXISTS V2: P_sdtpldt0-{T}(V0,V1,V2)
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 #84: input, references = 12, size of lhs = 2:
% 133.56/133.77 #-{F} V0, #-{F} V1 | EXISTS V2: P_sdtasdt0-{T}(V0,V1,V2)
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 #85: input, references = 4, size of lhs = 2:
% 133.56/133.77 #-{F} V0, #-{F} V1 | EXISTS V2: P_sdtmndt0-{T}(V0,V1,V2)
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 #86: input, references = 9, size of lhs = 2:
% 133.56/133.77 #-{F} V0, #-{F} V1 | EXISTS V2: P_sdtsldt0-{T}(V0,V1,V2)
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 #87: input, references = 4, size of lhs = 0:
% 133.56/133.77 FALSE | EXISTS V0: P_xl-{T}(V0)
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 #88: input, references = 6, size of lhs = 0:
% 133.56/133.77 FALSE | EXISTS V0: P_xm-{T}(V0)
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 #89: input, references = 9, size of lhs = 0:
% 133.56/133.77 FALSE | EXISTS V0: P_xn-{T}(V0)
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 number of initial rules = 90
% 133.56/133.77
% 133.56/133.77 Simplifiers:
% 133.56/133.77 #90: unsound, references = 3, size of lhs = 3:
% 133.56/133.77 P_sz00-{F}(V0), P_sz00-{F}(V1), V0 == V1 | FALSE
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 #91: unsound, references = 3, size of lhs = 3:
% 133.56/133.77 P_sz10-{F}(V0), P_sz10-{F}(V1), V0 == V1 | FALSE
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 #92: unsound, references = 3, size of lhs = 3:
% 133.56/133.77 P_sdtpldt0-{F}(V0,V1,V2), P_sdtpldt0-{F}(V0,V1,V5), V2 == V5 | FALSE
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 #93: unsound, references = 3, size of lhs = 3:
% 133.56/133.77 P_sdtasdt0-{F}(V0,V1,V2), P_sdtasdt0-{F}(V0,V1,V5), V2 == V5 | FALSE
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 #94: unsound, references = 3, size of lhs = 3:
% 133.56/133.77 P_sdtmndt0-{F}(V0,V1,V2), P_sdtmndt0-{F}(V0,V1,V5), V2 == V5 | FALSE
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 #95: unsound, references = 3, size of lhs = 3:
% 133.56/133.77 P_sdtsldt0-{F}(V0,V1,V2), P_sdtsldt0-{F}(V0,V1,V5), V2 == V5 | FALSE
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 #96: unsound, references = 3, size of lhs = 3:
% 133.56/133.77 P_xl-{F}(V0), P_xl-{F}(V1), V0 == V1 | FALSE
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 #97: unsound, references = 3, size of lhs = 3:
% 133.56/133.77 P_xm-{F}(V0), P_xm-{F}(V1), V0 == V1 | FALSE
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 #98: unsound, references = 3, size of lhs = 3:
% 133.56/133.77 P_xn-{F}(V0), P_xn-{F}(V1), V0 == V1 | FALSE
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 #99: unsound, references = 3, size of lhs = 3:
% 133.56/133.77 pppp4-{F}(V0,V1,V2), pppp4-{F}(V0,V1,V5), V2 == V5 | FALSE
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 #100: unsound, references = 3, size of lhs = 3:
% 133.56/133.77 pppp5-{F}(V0,V1,V2), pppp5-{F}(V0,V1,V5), V2 == V5 | FALSE
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 #101: unsound, references = 3, size of lhs = 3:
% 133.56/133.77 pppp6-{F}(V0,V1,V2), pppp6-{F}(V3,V1,V2), V0 == V3 | FALSE
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 #102: unsound, references = 3, size of lhs = 3:
% 133.56/133.77 pppp6-{F}(V0,V1,V2), pppp6-{F}(V3,V4,V5), V1 == V4 | FALSE
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 #103: unsound, references = 3, size of lhs = 3:
% 133.56/133.77 pppp6-{F}(V0,V1,V2), pppp6-{F}(V3,V4,V5), V2 == V5 | FALSE
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 #104: unsound, references = 3, size of lhs = 3:
% 133.56/133.77 pppp7-{F}(V0,V1,V2), pppp7-{F}(V3,V1,V2), V0 == V3 | FALSE
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 #105: unsound, references = 3, size of lhs = 3:
% 133.56/133.77 pppp7-{F}(V0,V1,V2), pppp7-{F}(V3,V4,V5), V1 == V4 | FALSE
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 #106: unsound, references = 3, size of lhs = 3:
% 133.56/133.77 pppp7-{F}(V0,V1,V2), pppp7-{F}(V3,V4,V5), V2 == V5 | FALSE
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 #107: unsound, references = 3, size of lhs = 3:
% 133.56/133.77 pppp8-{F}(V0,V1,V2,V3,V4,V5,V6,V7,V8,V9), pppp8-{F}(V10,V11,V12,V13,V14,V15,V16,V17,V18,V19), V0 == V10 | FALSE
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 #108: unsound, references = 3, size of lhs = 3:
% 133.56/133.77 pppp8-{F}(V0,V1,V2,V3,V4,V5,V6,V7,V8,V9), pppp8-{F}(V10,V11,V12,V13,V14,V15,V16,V17,V18,V19), V1 == V11 | FALSE
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 #109: unsound, references = 3, size of lhs = 3:
% 133.56/133.77 pppp8-{F}(V0,V1,V2,V3,V4,V5,V6,V7,V8,V9), pppp8-{F}(V10,V11,V12,V13,V14,V15,V16,V17,V18,V19), V2 == V12 | FALSE
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 #110: unsound, references = 3, size of lhs = 3:
% 133.56/133.77 pppp8-{F}(V0,V1,V2,V3,V4,V5,V6,V7,V8,V9), pppp8-{F}(V10,V11,V12,V13,V14,V15,V16,V17,V18,V19), V3 == V13 | FALSE
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 #111: unsound, references = 3, size of lhs = 3:
% 133.56/133.77 pppp8-{F}(V0,V1,V2,V3,V4,V5,V6,V7,V8,V9), pppp8-{F}(V10,V1,V2,V13,V14,V15,V16,V17,V18,V19), V4 == V14 | FALSE
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 #112: unsound, references = 3, size of lhs = 3:
% 133.56/133.77 pppp8-{F}(V0,V1,V2,V3,V4,V5,V6,V7,V8,V9), pppp8-{F}(V10,V1,V12,V13,V4,V15,V16,V17,V18,V19), V5 == V15 | FALSE
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 #113: unsound, references = 3, size of lhs = 3:
% 133.56/133.77 pppp8-{F}(V0,V1,V2,V3,V4,V5,V6,V7,V8,V9), pppp8-{F}(V10,V1,V12,V3,V14,V15,V16,V17,V18,V19), V6 == V16 | FALSE
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 #114: unsound, references = 3, size of lhs = 3:
% 133.56/133.77 pppp8-{F}(V0,V1,V2,V3,V4,V5,V6,V7,V8,V9), pppp8-{F}(V10,V1,V12,V13,V14,V15,V6,V17,V18,V19), V7 == V17 | FALSE
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 #115: unsound, references = 3, size of lhs = 3:
% 133.56/133.77 pppp8-{F}(V0,V1,V2,V3,V4,V5,V6,V7,V8,V9), pppp8-{F}(V10,V11,V2,V3,V14,V15,V16,V17,V18,V19), V8 == V18 | FALSE
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 number of simplifiers = 26
% 133.56/133.77
% 133.56/133.77 Learnt:
% 133.56/133.77 #119: exists( #86, #58 ), references = 6, size of lhs = 7:
% 133.56/133.77 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)
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 #121: exists( #83, #33 ), references = 1, size of lhs = 3:
% 133.56/133.77 P_sz00-{F}(V0), P_sz10-{F}(V1), pppp1-{F}(V2,V3,V4) | P_sdtpldt0-{T}(V2,V4,V3)
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 #124: exists( #83, #8 ), references = 3, size of lhs = 4:
% 133.56/133.77 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V2,V0,V3) | P_sdtpldt0-{T}(V0,V2,V2)
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 #125: exists( #83, #5 ), references = 4, size of lhs = 5:
% 133.56/133.77 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)
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 #128: exists( #83, #7 ), references = 1, size of lhs = 3:
% 133.56/133.77 P_sz00-{F}(V0), aNaturalNumber0-{F}(V0), P_sz10-{F}(V1) | P_sdtpldt0-{T}(V0,V0,V0)
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 #131: exists( #84, #13 ), references = 1, size of lhs = 3:
% 133.56/133.77 P_sz00-{F}(V0), aNaturalNumber0-{F}(V0), P_sz10-{F}(V1) | P_sdtasdt0-{T}(V0,V0,V0)
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 #147: mergings( V3 == V1, V4 == V5; #142 ), references = 5, size of lhs = 4:
% 133.56/133.77 aNaturalNumber0-{F}(V0), P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2) | P_sdtpldt0-{T}(V2,V0,V2)
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 #150: exists( #84, #13 ), references = 1, size of lhs = 5:
% 133.56/133.77 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtasdt0-{F}(V2,V0,V3), V3 == V0 | FALSE
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 #151: exists( #84, #9 ), references = 19, size of lhs = 5:
% 133.56/133.77 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)
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 #153: exists( #84, #149 ), references = 9, size of lhs = 3:
% 133.56/133.77 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2) | P_sdtasdt0-{T}(V2,V0,V0)
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 #162: exists( #85, #31 ), references = 1, size of lhs = 6:
% 133.56/133.77 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)
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 #178: mergings( V3 == V5, V4 == V1; #174 ), references = 4, size of lhs = 4:
% 133.56/133.77 aNaturalNumber0-{F}(V0), P_sz10-{F}(V0), P_sz00-{F}(V1), aNaturalNumber0-{F}(V2) | P_sdtasdt0-{T}(V2,V0,V2)
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 #190: mergings( V3 == V6, V6 == V7, V7 == V9, V4 == V5, V5 == V8, V8 == V10; #183 ), references = 2, size of lhs = 12:
% 133.56/133.77 aNaturalNumber0-{F}(V0), P_xn-{F}(V0), aNaturalNumber0-{F}(V1), P_xm-{F}(V1), aNaturalNumber0-{F}(V2), P_xl-{F}(V2), P_sdtsldt0-{F}(V1,V2,V1), P_sdtsldt0-{F}(V0,V2,V0), P_sz10-{F}(V2), P_sz00-{F}(V3), P_sdtasdt0-{F}(V2,V1,V4), P_sdtasdt0-{F}(V2,V0,V5) | FALSE
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 #212: mergings( V1 == V5, V5 == V8, V8 == V9, V9 == V11, V11 == V13, V13 == V17, V2 == V6, V6 == V10, V10 == V12, V12 == V14, V14 == V16, V3 == V16, V4 == V7, V7 == V15; #197 ), references = 2, size of lhs = 9:
% 133.56/133.77 aNaturalNumber0-{F}(V0), P_xm-{F}(V0), aNaturalNumber0-{F}(V1), P_xl-{F}(V1), P_sdtsldt0-{F}(V0,V1,V0), P_sz10-{F}(V1), P_sz00-{F}(V2), V1 == V2, P_sdtasdt0-{F}(V1,V0,V3) | FALSE
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 #238: mergings( V1 == V4, V4 == V6, V6 == V7, V7 == V9, V9 == V11, V11 == V15, V2 == V5, V5 == V8, V8 == V10, V10 == V12, V12 == V14, V3 == V14; #225 ), references = 1, size of lhs = 6:
% 133.56/133.77 P_xm-{F}(V0), aNaturalNumber0-{F}(V1), P_xl-{F}(V1), P_sz10-{F}(V1), P_sz00-{F}(V2), V1 == V2 | FALSE
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 #252: mergings( V1 == V4, V4 == V6, V6 == V7, V7 == V9, V9 == V11, V11 == V14, V2 == V5, V5 == V8, V8 == V10, V10 == V12, V12 == V13, V3 == V13; #239 ), references = 1, size of lhs = 5:
% 133.56/133.77 aNaturalNumber0-{F}(V0), P_xl-{F}(V0), P_sz10-{F}(V0), P_sz00-{F}(V1), V0 == V1 | FALSE
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 #327: exists( #83, #15 ), references = 1, size of lhs = 12:
% 133.56/133.77 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)
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 #328: exists( #83, #16 ), references = 1, size of lhs = 12:
% 133.56/133.77 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)
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 #355: exists( #83, #6 ), references = 1, size of lhs = 8:
% 133.56/133.77 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)
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 #409: exists( #83, #28 ), references = 2, size of lhs = 1:
% 133.56/133.77 pppp4-{F}(V0,V1,V2) | P_sdtpldt0-{T}(V0,V2,V1)
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 #418: mergings( V0 == V5, V5 == V7, V1 == V6, V6 == V8; #413 ), references = 1, size of lhs = 7:
% 133.56/133.77 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) | pppp4-{T}(V3,V2,V4)
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 #430: exists( #84, #55 ), references = 9, size of lhs = 1:
% 133.56/133.77 pppp5-{F}(V0,V1,V2) | P_sdtasdt0-{T}(V0,V2,V1)
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 #446: mergings( V0 == V5, V5 == V7, V1 == V6, V6 == V8; #441 ), references = 7, size of lhs = 8:
% 133.56/133.77 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) | pppp5-{T}(V2,V3,V4)
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 #466: mergings( V0 == V5, V1 == V6; #463 ), references = 2, size of lhs = 8:
% 133.56/133.77 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), pppp2-{F}(V2,V3), aNaturalNumber0-{F}(V4), P_sdtasdt0-{F}(V4,V2,V2), P_sdtasdt0-{F}(V4,V3,V5), V3 == V5 | FALSE
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 #487: mergings( V1 == V5, V5 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V2 == V6, V6 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V3 == V7, V4 == V8; #472 ), references = 4, size of lhs = 7:
% 133.56/133.77 P_xl-{F}(V0), aNaturalNumber0-{F}(V0), P_xm-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtasdt0-{F}(V2,V0,V0), P_sz00-{F}(V2), P_sz10-{F}(V3) | P_xn-{T}(V2)
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 #506: mergings( V3 == V6, V6 == V8, V4 == V5, V5 == V7, V7 == V9; #499 ), references = 2, size of lhs = 13:
% 133.56/133.77 aNaturalNumber0-{F}(V0), aNaturalNumber0-{F}(V1), aNaturalNumber0-{F}(V2), P_sz00-{F}(V2), P_xl-{F}(V2), P_sz10-{F}(V3), P_xm-{F}(V4), P_sdtsldt0-{F}(V4,V2,V1), P_xn-{F}(V5), P_sdtsldt0-{F}(V5,V2,V0), P_sdtasdt0-{F}(V2,V1,V6), P_sdtasdt0-{F}(V2,V0,V7), P_sdtpldt0-{F}(V4,V5,V8) | FALSE
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 #513: mergings( V3 == V5, V5 == V7, V7 == V9, V4 == V6, V6 == V8, V8 == V10; #500 ), references = 2, size of lhs = 13:
% 133.56/133.77 aNaturalNumber0-{F}(V0), aNaturalNumber0-{F}(V1), aNaturalNumber0-{F}(V2), P_xl-{F}(V2), P_sz00-{F}(V2), P_sz10-{F}(V3), P_xm-{F}(V4), P_sdtsldt0-{F}(V4,V2,V1), P_xn-{F}(V5), P_sdtpldt0-{F}(V4,V5,V2), P_sdtsldt0-{F}(V5,V2,V0), P_sdtasdt0-{F}(V2,V1,V6), P_sdtasdt0-{F}(V2,V0,V7) | FALSE
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 #533: exists( #84, #527 ), references = 1, size of lhs = 10:
% 133.56/133.77 aNaturalNumber0-{F}(V0), P_sz00-{F}(V0), P_xl-{F}(V0), P_sz10-{F}(V1), P_xm-{F}(V2), P_sdtsldt0-{F}(V2,V0,V3), P_xn-{F}(V4), P_sdtsldt0-{F}(V4,V0,V3), P_sdtpldt0-{F}(V2,V4,V5), pppp6-{F}(V3,V0,V6) | FALSE
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 #534: exists( #84, #528 ), references = 1, size of lhs = 10:
% 133.56/133.77 aNaturalNumber0-{F}(V0), P_xl-{F}(V0), P_sz00-{F}(V0), P_sz10-{F}(V1), P_xm-{F}(V2), P_sdtsldt0-{F}(V2,V0,V3), P_xn-{F}(V4), P_sdtpldt0-{F}(V2,V4,V0), P_sdtsldt0-{F}(V4,V0,V3), pppp6-{F}(V3,V0,V5) | FALSE
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 #535: exists( #84, #529 ), references = 1, size of lhs = 6:
% 133.56/133.77 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V2,V3,V0), V3 == V0, pppp6-{F}(V3,V4,V5) | FALSE
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 #590: exists( #84, #584 ), references = 1, size of lhs = 11:
% 133.56/133.77 P_sz00-{F}(V0), P_xl-{F}(V0), P_sz10-{F}(V1), P_xm-{F}(V2), P_xn-{F}(V3), P_sdtsldt0-{F}(V2,V0,V4), P_sdtasdt0-{F}(V0,V4,V5), P_sdtsldt0-{F}(V3,V0,V6), P_sdtasdt0-{F}(V0,V6,V7), P_sdtpldt0-{F}(V2,V3,V8), P_sdtpldt0-{F}(V4,V6,V9) | FALSE
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 #591: exists( #84, #585 ), references = 1, size of lhs = 12:
% 133.56/133.77 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xl-{F}(V2), P_xm-{F}(V3), P_xn-{F}(V4), P_sdtsldt0-{F}(V3,V2,V5), P_sdtasdt0-{F}(V2,V5,V6), P_sdtsldt0-{F}(V4,V2,V7), P_sdtasdt0-{F}(V2,V7,V8), V4 == V8, P_sdtpldt0-{F}(V3,V4,V9), P_sdtpldt0-{F}(V5,V7,V10) | FALSE
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 #592: exists( #84, #586 ), references = 1, size of lhs = 12:
% 133.56/133.77 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xl-{F}(V2), P_xm-{F}(V3), P_xn-{F}(V4), P_sdtsldt0-{F}(V3,V2,V5), P_sdtasdt0-{F}(V2,V5,V6), V3 == V6, P_sdtsldt0-{F}(V4,V2,V7), P_sdtasdt0-{F}(V2,V7,V8), P_sdtpldt0-{F}(V3,V4,V9), P_sdtpldt0-{F}(V5,V7,V10) | FALSE
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 #596: exists( #83, #587 ), references = 1, size of lhs = 10:
% 133.56/133.77 P_sz00-{F}(V0), P_xl-{F}(V0), P_sz10-{F}(V1), P_xm-{F}(V2), P_xn-{F}(V3), P_sdtsldt0-{F}(V2,V0,V4), P_sdtasdt0-{F}(V0,V4,V5), P_sdtsldt0-{F}(V3,V0,V6), P_sdtasdt0-{F}(V0,V6,V7), P_sdtpldt0-{F}(V2,V3,V8) | FALSE
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 #597: exists( #83, #588 ), references = 1, size of lhs = 11:
% 133.56/133.77 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xl-{F}(V2), P_xm-{F}(V3), P_xn-{F}(V4), P_sdtsldt0-{F}(V3,V2,V5), P_sdtasdt0-{F}(V2,V5,V6), P_sdtsldt0-{F}(V4,V2,V7), P_sdtasdt0-{F}(V2,V7,V8), V4 == V8, P_sdtpldt0-{F}(V3,V4,V9) | FALSE
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 #598: exists( #83, #589 ), references = 1, size of lhs = 11:
% 133.56/133.77 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xl-{F}(V2), P_xm-{F}(V3), P_xn-{F}(V4), P_sdtsldt0-{F}(V3,V2,V5), P_sdtasdt0-{F}(V2,V5,V6), V3 == V6, P_sdtsldt0-{F}(V4,V2,V7), P_sdtasdt0-{F}(V2,V7,V8), P_sdtpldt0-{F}(V3,V4,V9) | FALSE
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 #602: exists( #84, #593 ), references = 1, size of lhs = 8:
% 133.56/133.77 P_sz00-{F}(V0), P_xl-{F}(V0), P_sz10-{F}(V1), P_xm-{F}(V2), P_xn-{F}(V3), P_sdtsldt0-{F}(V2,V0,V4), P_sdtsldt0-{F}(V3,V0,V4), P_sdtpldt0-{F}(V2,V3,V5) | FALSE
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 #604: exists( #86, #599 ), references = 3, size of lhs = 6:
% 133.56/133.77 P_sz00-{F}(V0), P_xl-{F}(V0), P_sz10-{F}(V1), P_xm-{F}(V2), P_xn-{F}(V2), P_sdtpldt0-{F}(V2,V2,V3) | FALSE
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 #627: mergings( V2 == V4, V4 == V7, V7 == V10, V10 == V12, V12 == V14, V14 == V16, V3 == V5, V5 == V8, V8 == V11, V11 == V13, V13 == V15, V15 == V17, V1 == V6, V6 == V9; #612 ), references = 3, size of lhs = 6:
% 133.56/133.77 P_xl-{F}(V0), aNaturalNumber0-{F}(V0), aNaturalNumber0-{F}(V1), P_sdtasdt0-{F}(V1,V0,V0), P_sz00-{F}(V1), P_sz10-{F}(V2) | P_xm-{T}(V1)
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 #652: mergings( V3 == V5, V5 == V7, V4 == V6, V6 == V8; #647 ), references = 1, size of lhs = 9:
% 133.56/133.77 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), V2 == V0, pppp2-{F}(V2,V3), V3 == V2, doDivides0-{F}(V2,V3), aNaturalNumber0-{F}(V3), sdtlseqdt0-{F}(V3,V2) | P_sdtsldt0-{T}(V3,V2,V0)
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 #685: mergings( V1 == V4, V4 == V9, V9 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V2 == V5, V5 == V7, V7 == V8, V8 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V3 == V19; #667 ), references = 1, size of lhs = 8:
% 133.56/133.77 P_xl-{F}(V0), P_xm-{F}(V1), V1 == V0, aNaturalNumber0-{F}(V1), P_sz10-{F}(V1), P_sz00-{F}(V2), V1 == V2, V0 == V2 | FALSE
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 #704: mergings( V1 == V4, V4 == V9, V9 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V2 == V5, V5 == V7, V7 == V8, V8 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V3 == V21; #668 ), references = 1, size of lhs = 8:
% 133.56/133.77 P_xl-{F}(V0), P_xm-{F}(V1), V1 == V0, aNaturalNumber0-{F}(V1), P_sz10-{F}(V1), P_sz00-{F}(V2), V1 == V2, V0 == V2 | FALSE
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 #790: mergings( V3 == V5, V5 == V8, V4 == V6, V6 == V7, V7 == V9, V11 == V8; #783 ), references = 1, size of lhs = 14:
% 133.56/133.77 aNaturalNumber0-{F}(V0), P_xl-{F}(V0), pppp2-{F}(V0,V1), aNaturalNumber0-{F}(V1), doDivides0-{F}(V0,V1), P_xn-{F}(V1), aNaturalNumber0-{F}(V2), V0 == V2, P_sz00-{F}(V2), P_sdtasdt0-{F}(V0,V2,V2), P_sz10-{F}(V3), P_xm-{F}(V4), P_sdtsldt0-{F}(V4,V0,V2), P_sdtpldt0-{F}(V4,V1,V1) | FALSE
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 #828: mergings( V1 == V4, V4 == V8, V8 == V11, V11 == V14, V14 == V16, V16 == V19, V19 == V21, V21 == V23, V23 == V28, V2 == V5, V5 == V9, V9 == V10, V10 == V12, V12 == V13, V13 == V15, V15 == V17, V17 == V20, V20 == V22, V22 == V24, V24 == V26, V26 == V27, V27 == V29, V6 == V25, V3 == V7, V7 == V28, V28 == V18; #801 ), references = 1, size of lhs = 6:
% 133.56/133.77 aNaturalNumber0-{F}(V0), P_xm-{F}(V0), P_sz00-{F}(V0), P_xl-{F}(V1), V1 == V0, P_sz10-{F}(V2) | FALSE
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 #890: mergings( V3 == V5, V5 == V7, V4 == V6, V6 == V8, V10 == V7; #884 ), references = 1, size of lhs = 14:
% 133.56/133.77 aNaturalNumber0-{F}(V0), P_xl-{F}(V0), pppp2-{F}(V0,V1), aNaturalNumber0-{F}(V1), doDivides0-{F}(V0,V1), P_xm-{F}(V1), aNaturalNumber0-{F}(V2), V0 == V2, P_sz00-{F}(V2), P_sdtasdt0-{F}(V0,V2,V2), P_sz10-{F}(V3), P_xn-{F}(V4), P_sdtsldt0-{F}(V4,V0,V2), P_sdtpldt0-{F}(V1,V4,V1) | FALSE
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 #925: mergings( V3 == V5, V4 == V6; #921 ), references = 7, size of lhs = 13:
% 133.56/133.77 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)
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 #928: mergings( V3 == V5, V4 == V6; #922 ), references = 1, size of lhs = 13:
% 133.56/133.77 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)
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 #947: mergings( V3 == V5, V5 == V7, V7 == V9, V4 == V6, V6 == V8, V8 == V10; #938 ), references = 1, size of lhs = 15:
% 133.56/133.77 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), aNaturalNumber0-{F}(V7), doDivides0-{F}(V4,V7), P_sdtasdt0-{F}(V1,V4,V8), P_sdtasdt0-{F}(V0,V4,V9), P_sdtpldt0-{F}(V8,V9,V10), P_sdtsldt0-{F}(V7,V4,V11) | P_sdtpldt0-{T}(V1,V0,V11)
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 #954: mergings( V3 == V5, V5 == V7, V7 == V9, V4 == V6, V6 == V8, V8 == V10; #939 ), references = 1, size of lhs = 15:
% 133.56/133.77 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)
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 #961: mergings( V3 == V5, V5 == V7, V7 == V9, V4 == V6, V6 == V8, V8 == V10; #940 ), references = 1, size of lhs = 15:
% 133.56/133.77 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)
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 #981: mergings( V3 == V6, V6 == V11, V4 == V7, V7 == V12; #976 ), references = 1, size of lhs = 21:
% 133.56/133.77 aNaturalNumber0-{F}(V0), P_xm-{F}(V0), aNaturalNumber0-{F}(V1), P_xn-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), aNaturalNumber0-{F}(V4), P_sdtpldt0-{F}(V4,V3,V2), aNaturalNumber0-{F}(V5), P_xl-{F}(V5), P_sdtasdt0-{F}(V5,V4,V1), P_sdtasdt0-{F}(V5,V3,V0), P_sdtasdt0-{F}(V4,V5,V1), P_sdtasdt0-{F}(V3,V5,V0), P_sz00-{F}(V6), P_sz10-{F}(V7), P_sdtsldt0-{F}(V0,V5,V8), P_sdtasdt0-{F}(V5,V8,V9), P_sdtsldt0-{F}(V1,V5,V10), P_sdtpldt0-{F}(V8,V10,V2), P_sdtasdt0-{F}(V5,V10,V11) | FALSE
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 #995: mergings( V3 == V5, V5 == V7, V7 == V11, V11 == V14, V4 == V6, V6 == V8, V8 == V12, V12 == V15, V10 == V17, V9 == V16; #984 ), references = 2, size of lhs = 16:
% 133.56/133.77 aNaturalNumber0-{F}(V0), P_xm-{F}(V0), aNaturalNumber0-{F}(V1), P_xn-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), aNaturalNumber0-{F}(V4), P_xl-{F}(V4), P_sdtasdt0-{F}(V3,V4,V1), P_sdtasdt0-{F}(V2,V4,V0), P_sdtsldt0-{F}(V0,V4,V2), P_sdtsldt0-{F}(V1,V4,V3), P_sdtasdt0-{F}(V4,V2,V0), P_sdtasdt0-{F}(V4,V3,V1), P_sz00-{F}(V5), P_sz10-{F}(V6) | FALSE
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 #1024: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V22, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V23; #1013 ), references = 2, size of lhs = 22:
% 133.56/133.77 aNaturalNumber0-{F}(V0), aNaturalNumber0-{F}(V1), aNaturalNumber0-{F}(V2), P_xm-{F}(V2), aNaturalNumber0-{F}(V3), P_xn-{F}(V3), aNaturalNumber0-{F}(V4), aNaturalNumber0-{F}(V5), doDivides0-{F}(V5,V2), P_xl-{F}(V5), P_sdtasdt0-{F}(V4,V5,V3), P_sdtsldt0-{F}(V3,V5,V4), P_sdtasdt0-{F}(V5,V4,V3), P_sdtasdt0-{F}(V5,V1,V6), P_sdtasdt0-{F}(V5,V0,V7), P_sdtpldt0-{F}(V6,V7,V2), P_sdtasdt0-{F}(V1,V5,V8), P_sdtasdt0-{F}(V0,V5,V9), P_sdtpldt0-{F}(V8,V9,V10), P_sz00-{F}(V11), V5 == V11, P_sz10-{F}(V12) | FALSE
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 #1049: mergings( V0 == V5, V5 == V13, V1 == V6, V6 == V14; #1044 ), references = 3, size of lhs = 20:
% 133.56/133.77 aNaturalNumber0-{F}(V0), aNaturalNumber0-{F}(V1), P_xm-{F}(V1), aNaturalNumber0-{F}(V2), P_xn-{F}(V2), aNaturalNumber0-{F}(V3), aNaturalNumber0-{F}(V4), doDivides0-{F}(V4,V1), P_xl-{F}(V4), P_sdtasdt0-{F}(V3,V4,V2), P_sdtsldt0-{F}(V2,V4,V3), P_sdtasdt0-{F}(V4,V3,V2), pppp2-{F}(V4,V5), P_sdtasdt0-{F}(V4,V0,V6), P_sdtpldt0-{F}(V5,V6,V1), P_sdtasdt0-{F}(V0,V4,V7), P_sz00-{F}(V8), V4 == V8, P_sz10-{F}(V9), P_sdtpldt0-{F}(V5,V7,V10) | FALSE
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 #1105: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V25, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V26; #1092 ), references = 2, size of lhs = 25:
% 133.56/133.77 aNaturalNumber0-{F}(V0), aNaturalNumber0-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), P_xm-{F}(V3), aNaturalNumber0-{F}(V4), P_xn-{F}(V4), aNaturalNumber0-{F}(V5), doDivides0-{F}(V5,V4), doDivides0-{F}(V5,V3), P_xl-{F}(V5), P_sdtasdt0-{F}(V5,V1,V6), P_sdtasdt0-{F}(V5,V0,V7), P_sdtpldt0-{F}(V6,V7,V4), P_sdtasdt0-{F}(V1,V5,V8), P_sdtasdt0-{F}(V0,V5,V9), P_sdtpldt0-{F}(V8,V9,V10), pppp2-{F}(V5,V11), P_sdtasdt0-{F}(V5,V2,V12), P_sdtpldt0-{F}(V11,V12,V3), P_sdtasdt0-{F}(V2,V5,V13), P_sz00-{F}(V14), V5 == V14, P_sz10-{F}(V15), P_sdtpldt0-{F}(V11,V13,V16) | FALSE
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 #1166: mergings( V3 == V5, V5 == V12, V4 == V6, V6 == V13; #1159 ), references = 1, size of lhs = 18:
% 133.56/133.77 aNaturalNumber0-{F}(V0), aNaturalNumber0-{F}(V1), P_xm-{F}(V1), aNaturalNumber0-{F}(V2), P_xn-{F}(V2), aNaturalNumber0-{F}(V3), pppp2-{F}(V3,V2), doDivides0-{F}(V3,V2), doDivides0-{F}(V3,V1), P_xl-{F}(V3), pppp2-{F}(V3,V4), P_sdtasdt0-{F}(V3,V0,V5), P_sdtpldt0-{F}(V4,V5,V1), P_sdtasdt0-{F}(V0,V3,V6), P_sz00-{F}(V7), V3 == V7, P_sz10-{F}(V8), P_sdtpldt0-{F}(V4,V6,V9) | FALSE
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 #1171: mergings( V3 == V5, V5 == V16, V4 == V6, V6 == V17; #1160 ), references = 1, size of lhs = 25:
% 133.56/133.77 aNaturalNumber0-{F}(V0), aNaturalNumber0-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), P_xm-{F}(V3), aNaturalNumber0-{F}(V4), P_xn-{F}(V4), aNaturalNumber0-{F}(V5), pppp2-{F}(V5,V0), doDivides0-{F}(V5,V0), doDivides0-{F}(V5,V4), doDivides0-{F}(V5,V3), P_xl-{F}(V5), P_sdtasdt0-{F}(V5,V1,V6), P_sdtpldt0-{F}(V0,V6,V4), P_sdtasdt0-{F}(V1,V5,V7), pppp2-{F}(V5,V8), P_sdtasdt0-{F}(V5,V2,V9), P_sdtpldt0-{F}(V8,V9,V3), P_sdtasdt0-{F}(V2,V5,V10), P_sz00-{F}(V11), V5 == V11, P_sz10-{F}(V12), P_sdtpldt0-{F}(V8,V10,V13), P_sdtpldt0-{F}(V0,V7,V14) | FALSE
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 #1223: mergings( V1 == V4, V4 == V7, V7 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V21, V21 == V23, V23 == V25, V25 == V27, V27 == V31, V2 == V5, V5 == V8, V8 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V22, V22 == V24, V24 == V26, V26 == V28, V28 == V32, V6 == V9, V9 == V30, V3 == V10, V10 == V20, V20 == V29; #1193 ), references = 1, size of lhs = 6:
% 133.56/133.77 aNaturalNumber0-{F}(V0), P_sz00-{F}(V0), P_xm-{F}(V1), P_xl-{F}(V2), V2 == V0, P_sz10-{F}(V3) | FALSE
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 #1260: mergings( V1 == V3, V3 == V6, V6 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V24, V24 == V27, V2 == V4, V4 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V23, V23 == V25, V25 == V28, V5 == V8, V8 == V26; #1233 ), references = 1, size of lhs = 5:
% 133.56/133.77 aNaturalNumber0-{F}(V0), P_sz00-{F}(V0), P_xl-{F}(V1), V1 == V0, P_sz10-{F}(V2) | FALSE
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 #1295: mergings( V1 == V3, V3 == V5, V5 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V24, V2 == V4, V4 == V6, V6 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V23, V23 == V25; #1270 ), references = 1, size of lhs = 3:
% 133.56/133.77 aNaturalNumber0-{F}(V0), P_sz00-{F}(V0), P_sz10-{F}(V1) | P_xl-{T}(V0)
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 #1334: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11; #1323 ), references = 1, size of lhs = 2:
% 133.56/133.77 aNaturalNumber0-{F}(V0), P_sz00-{F}(V0) | FALSE
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 #1337: exists( #81, #1335 ), references = 1, size of lhs = 0:
% 133.56/133.77 FALSE | FALSE
% 133.56/133.77 (used 0 times, uses = {})
% 133.56/133.77
% 133.56/133.77 number of learnt formulas = 62
% 133.56/133.77
% 133.56/133.77
% 133.56/133.77 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 133.56/133.77
% 133.56/133.77 randbase = 1
%------------------------------------------------------------------------------