TSTP Solution File: NUM481+3 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : NUM481+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n017.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 06:12:35 EDT 2022
% Result : Theorem 201.20s 201.37s
% Output : Refutation 201.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : NUM481+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n017.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Jul 22 22:23:29 EDT 2022
% 0.12/0.33 % CPUTime :
% 201.20/201.37 GeoParameters:
% 201.20/201.37
% 201.20/201.37 tptp_input = 1
% 201.20/201.37 tptp_output = 0
% 201.20/201.37 nonempty = 1
% 201.20/201.37 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 201.20/201.37 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 201.20/201.37
% 201.20/201.37
% 201.20/201.37 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 201.20/201.37 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 201.20/201.37
% 201.20/201.37 RuleSystem INPUT:
% 201.20/201.37
% 201.20/201.37 Initial Rules:
% 201.20/201.37 #0: input, references = 4, size of lhs = 1:
% 201.20/201.37 P_sz00-{F}(V0) | aNaturalNumber0-{T}(V0)
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #1: input, references = 4, size of lhs = 2:
% 201.20/201.37 P_sz00-{F}(V0), P_sz10-{F}(V1) | aNaturalNumber0-{T}(V1)
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #2: input, references = 4, size of lhs = 2:
% 201.20/201.37 P_sz00-{F}(V0), P_sz10-{F}(V0) | FALSE
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #3: input, references = 6, size of lhs = 5:
% 201.20/201.37 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V3,V2,V4), aNaturalNumber0-{F}(V3) | aNaturalNumber0-{T}(V4)
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #4: input, references = 3, size of lhs = 5:
% 201.20/201.37 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtasdt0-{F}(V3,V2,V4), aNaturalNumber0-{F}(V3) | aNaturalNumber0-{T}(V4)
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #5: input, references = 4, size of lhs = 7:
% 201.20/201.37 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
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #6: input, references = 4, size of lhs = 10:
% 201.20/201.37 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
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #7: input, references = 4, size of lhs = 6:
% 201.20/201.37 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
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #8: input, references = 4, size of lhs = 6:
% 201.20/201.37 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
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #9: input, references = 4, size of lhs = 7:
% 201.20/201.37 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
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #10: input, references = 3, size of lhs = 10:
% 201.20/201.37 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
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #11: input, references = 6, size of lhs = 6:
% 201.20/201.37 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
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #12: input, references = 4, size of lhs = 6:
% 201.20/201.37 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
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #13: input, references = 5, size of lhs = 6:
% 201.20/201.37 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
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #14: input, references = 3, size of lhs = 6:
% 201.20/201.37 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
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #15: input, references = 6, size of lhs = 15:
% 201.20/201.37 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
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #16: input, references = 7, size of lhs = 15:
% 201.20/201.37 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
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #17: input, references = 5, size of lhs = 10:
% 201.20/201.37 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
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #18: input, references = 4, size of lhs = 10:
% 201.20/201.37 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
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #19: input, references = 3, size of lhs = 11:
% 201.20/201.37 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
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #20: input, references = 3, size of lhs = 11:
% 201.20/201.37 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
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #21: input, references = 4, size of lhs = 6:
% 201.20/201.37 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V3,V2,V0), aNaturalNumber0-{F}(V3), V3 == V0 | FALSE
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #22: input, references = 4, size of lhs = 6:
% 201.20/201.37 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V3,V2,V0), aNaturalNumber0-{F}(V3), V2 == V0 | FALSE
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #23: input, references = 4, size of lhs = 7:
% 201.20/201.37 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
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #24: input, references = 3, size of lhs = 5:
% 201.20/201.37 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), sdtlseqdt0-{F}(V3,V2) | pppp0-{T}(V3,V2)
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #25: input, references = 5, size of lhs = 5:
% 201.20/201.37 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), pppp0-{F}(V3,V2) | sdtlseqdt0-{T}(V3,V2)
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #26: input, references = 5, size of lhs = 3:
% 201.20/201.37 P_sz00-{F}(V0), P_sz10-{F}(V1), pppp0-{F}(V2,V3) | EXISTS V4: pppp5-{T}(V2,V3,V4)
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #27: input, references = 5, size of lhs = 4:
% 201.20/201.37 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtpldt0-{F}(V2,V4,V3), aNaturalNumber0-{F}(V4) | pppp0-{T}(V2,V3)
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #28: input, references = 4, size of lhs = 3:
% 201.20/201.37 pppp5-{F}(V0,V1,V2), P_sdtpldt0-{F}(V0,V2,V3), V3 == V1 | FALSE
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #29: input, references = 5, size of lhs = 2:
% 201.20/201.37 pppp5-{F}(V0,V1,V2), P_sdtpldt0-{F}(V0,V2,V3) | aNaturalNumber0-{T}(V2)
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #30: input, references = 3, size of lhs = 6:
% 201.20/201.37 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)
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #31: input, references = 6, size of lhs = 8:
% 201.20/201.37 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
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #32: input, references = 3, size of lhs = 4:
% 201.20/201.37 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtpldt0-{F}(V2,V4,V5), pppp1-{F}(V2,V3,V4) | aNaturalNumber0-{T}(V4)
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #33: input, references = 3, size of lhs = 5:
% 201.20/201.37 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtpldt0-{F}(V2,V4,V5), pppp1-{F}(V2,V3,V4), V5 == V3 | FALSE
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #34: input, references = 8, size of lhs = 4:
% 201.20/201.37 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtpldt0-{F}(V2,V4,V3), aNaturalNumber0-{F}(V4) | pppp1-{T}(V2,V3,V4)
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #35: input, references = 4, size of lhs = 3:
% 201.20/201.37 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2) | sdtlseqdt0-{T}(V2,V2)
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #36: input, references = 3, size of lhs = 7:
% 201.20/201.37 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
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #37: input, references = 3, size of lhs = 7:
% 201.20/201.37 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)
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #38: input, references = 3, size of lhs = 3:
% 201.20/201.37 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V3) | sdtlseqdt0-{T}(V3,V3)
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #39: input, references = 3, size of lhs = 4:
% 201.20/201.37 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3) | sdtlseqdt0-{T}(V3,V2), sdtlseqdt0-{T}(V2,V3)
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #40: input, references = 3, size of lhs = 11:
% 201.20/201.37 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
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #41: input, references = 3, size of lhs = 11:
% 201.20/201.37 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)
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #42: input, references = 3, size of lhs = 11:
% 201.20/201.37 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
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #43: input, references = 3, size of lhs = 11:
% 201.20/201.37 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)
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #44: input, references = 3, size of lhs = 12:
% 201.20/201.37 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
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #45: input, references = 3, size of lhs = 12:
% 201.20/201.37 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)
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #46: input, references = 3, size of lhs = 12:
% 201.20/201.37 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
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #47: input, references = 3, size of lhs = 12:
% 201.20/201.37 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)
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #48: input, references = 3, size of lhs = 5:
% 201.20/201.37 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), V2 == V0, V2 == V1 | sdtlseqdt0-{T}(V1,V2)
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #49: input, references = 3, size of lhs = 6:
% 201.20/201.37 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)
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #50: input, references = 5, size of lhs = 6:
% 201.20/201.37 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), sdtlseqdt0-{F}(V3,V2), V3 == V2 | iLess0-{T}(V3,V2)
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #51: input, references = 3, size of lhs = 5:
% 201.20/201.37 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), doDivides0-{F}(V3,V2) | pppp2-{T}(V3,V2)
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #52: input, references = 7, size of lhs = 5:
% 201.20/201.37 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), pppp2-{F}(V3,V2) | doDivides0-{T}(V3,V2)
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #53: input, references = 5, size of lhs = 3:
% 201.20/201.37 P_sz00-{F}(V0), P_sz10-{F}(V1), pppp2-{F}(V2,V3) | EXISTS V4: pppp6-{T}(V2,V3,V4)
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #54: input, references = 7, size of lhs = 4:
% 201.20/201.37 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtasdt0-{F}(V2,V4,V5), aNaturalNumber0-{F}(V4) | pppp2-{T}(V2,V5)
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #55: input, references = 4, size of lhs = 3:
% 201.20/201.37 pppp6-{F}(V0,V1,V2), P_sdtasdt0-{F}(V0,V2,V3), V1 == V3 | FALSE
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #56: input, references = 5, size of lhs = 2:
% 201.20/201.37 pppp6-{F}(V0,V1,V2), P_sdtasdt0-{F}(V0,V2,V3) | aNaturalNumber0-{T}(V2)
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #57: input, references = 3, size of lhs = 7:
% 201.20/201.37 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)
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #58: input, references = 5, size of lhs = 9:
% 201.20/201.37 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
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #59: input, references = 3, size of lhs = 4:
% 201.20/201.37 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtasdt0-{F}(V2,V4,V5), pppp3-{F}(V2,V3,V4) | aNaturalNumber0-{T}(V4)
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #60: input, references = 4, size of lhs = 5:
% 201.20/201.37 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtasdt0-{F}(V2,V4,V5), pppp3-{F}(V2,V3,V4), V3 == V5 | FALSE
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #61: input, references = 4, size of lhs = 4:
% 201.20/201.37 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtasdt0-{F}(V2,V4,V5), aNaturalNumber0-{F}(V4) | pppp3-{T}(V2,V5,V4)
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #62: input, references = 5, size of lhs = 7:
% 201.20/201.37 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)
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #63: input, references = 3, size of lhs = 8:
% 201.20/201.37 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)
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #64: input, references = 6, size of lhs = 8:
% 201.20/201.37 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)
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #65: input, references = 5, size of lhs = 6:
% 201.20/201.37 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), doDivides0-{F}(V3,V2), V2 == V0 | sdtlseqdt0-{T}(V3,V2)
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #66: input, references = 4, size of lhs = 12:
% 201.20/201.37 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
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #67: input, references = 3, size of lhs = 4:
% 201.20/201.37 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), isPrime0-{F}(V2) | pppp4-{T}(V2)
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #68: input, references = 5, size of lhs = 4:
% 201.20/201.37 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), pppp4-{F}(V2) | isPrime0-{T}(V2)
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #69: input, references = 3, size of lhs = 3:
% 201.20/201.37 P_sz00-{F}(V0), P_sz10-{F}(V1), pppp4-{F}(V0) | FALSE
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #70: input, references = 3, size of lhs = 3:
% 201.20/201.37 P_sz00-{F}(V0), P_sz10-{F}(V1), pppp4-{F}(V1) | FALSE
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #71: input, references = 3, size of lhs = 7:
% 201.20/201.37 P_sz00-{F}(V0), P_sz10-{F}(V1), pppp4-{F}(V2), aNaturalNumber0-{F}(V3), doDivides0-{F}(V3,V2), V3 == V1, V3 == V2 | FALSE
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #72: input, references = 4, size of lhs = 5:
% 201.20/201.37 P_sz00-{F}(V0), P_sz10-{F}(V1), #-{F} V2, V2 == V0, V2 == V1 | pppp4-{T}(V2), pppp16-{T}(V2,V1)
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #73: input, references = 4, size of lhs = 1:
% 201.20/201.37 pppp16-{F}(V0,V1) | EXISTS V2: pppp7-{T}(V0,V2,V1)
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #74: input, references = 5, size of lhs = 1:
% 201.20/201.37 pppp7-{F}(V0,V0,V2) | FALSE
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #75: input, references = 3, size of lhs = 1:
% 201.20/201.37 pppp7-{F}(V0,V2,V2) | FALSE
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #76: input, references = 5, size of lhs = 1:
% 201.20/201.37 pppp7-{F}(V0,V1,V2) | doDivides0-{T}(V1,V0)
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #77: input, references = 4, size of lhs = 1:
% 201.20/201.37 pppp7-{F}(V0,V1,V2) | aNaturalNumber0-{T}(V1)
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #78: input, references = 4, size of lhs = 2:
% 201.20/201.37 P_sz00-{F}(V0), P_sz10-{F}(V1) | EXISTS V2: pppp15-{T}(V0,V1,V2)
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #79: input, references = 8, size of lhs = 1:
% 201.20/201.37 pppp15-{F}(V0,V1,V2) | pppp14-{T}(V2,V0,V1)
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #80: input, references = 5, size of lhs = 4:
% 201.20/201.37 pppp14-{F}(V0,V1,V2), aNaturalNumber0-{F}(V3), doDivides0-{F}(V3,V0), isPrime0-{F}(V3) | FALSE
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #81: input, references = 3, size of lhs = 5:
% 201.20/201.37 pppp14-{F}(V0,V1,V2), aNaturalNumber0-{F}(V3), doDivides0-{F}(V3,V0), V3 == V1, V3 == V2 | EXISTS V4: pppp13-{T}(V3,V2,V4)
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #82: input, references = 4, size of lhs = 5:
% 201.20/201.37 pppp14-{F}(V5,V1,V2), aNaturalNumber0-{F}(V3), P_sdtasdt0-{F}(V3,V4,V5), aNaturalNumber0-{F}(V4), isPrime0-{F}(V3) | FALSE
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #83: input, references = 3, size of lhs = 6:
% 201.20/201.37 pppp14-{F}(V5,V1,V2), aNaturalNumber0-{F}(V3), P_sdtasdt0-{F}(V3,V4,V5), aNaturalNumber0-{F}(V4), V3 == V1, V3 == V2 | EXISTS V6: pppp13-{T}(V3,V2,V6)
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #84: input, references = 4, size of lhs = 5:
% 201.20/201.37 pppp14-{F}(V0,V1,V2), aNaturalNumber0-{F}(V3), iLess0-{F}(V3,V0), V3 == V1, V3 == V2 | EXISTS V4: pppp10-{T}(V3,V1,V2,V4)
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #85: input, references = 4, size of lhs = 1:
% 201.20/201.37 pppp14-{F}(V2,V1,V2) | FALSE
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #86: input, references = 4, size of lhs = 1:
% 201.20/201.37 pppp14-{F}(V1,V1,V2) | FALSE
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #87: input, references = 4, size of lhs = 1:
% 201.20/201.37 pppp14-{F}(V0,V1,V2) | aNaturalNumber0-{T}(V0)
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #88: input, references = 3, size of lhs = 1:
% 201.20/201.37 pppp13-{F}(V0,V1,V2) | pppp12-{T}(V0,V2,V1)
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #89: input, references = 3, size of lhs = 1:
% 201.20/201.37 pppp12-{F}(V0,V0,V2) | FALSE
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #90: input, references = 3, size of lhs = 1:
% 201.20/201.37 pppp12-{F}(V0,V2,V2) | FALSE
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #91: input, references = 3, size of lhs = 1:
% 201.20/201.37 pppp12-{F}(V0,V1,V2) | doDivides0-{T}(V1,V0)
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #92: input, references = 3, size of lhs = 1:
% 201.20/201.37 pppp12-{F}(V0,V1,V2) | EXISTS V3: pppp11-{T}(V0,V1,V3)
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #93: input, references = 3, size of lhs = 1:
% 201.20/201.37 pppp12-{F}(V0,V1,V2) | aNaturalNumber0-{T}(V1)
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #94: input, references = 3, size of lhs = 3:
% 201.20/201.37 pppp11-{F}(V0,V1,V2), P_sdtasdt0-{F}(V1,V2,V3), V0 == V3 | FALSE
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #95: input, references = 3, size of lhs = 2:
% 201.20/201.37 pppp11-{F}(V0,V1,V2), P_sdtasdt0-{F}(V1,V2,V3) | aNaturalNumber0-{T}(V2)
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #96: input, references = 4, size of lhs = 1:
% 201.20/201.37 pppp10-{F}(V0,V1,V2,V3) | pppp9-{T}(V0,V3,V1,V2)
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #97: input, references = 4, size of lhs = 1:
% 201.20/201.37 pppp9-{F}(V0,V1,V2,V3) | isPrime0-{T}(V1)
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #98: input, references = 3, size of lhs = 5:
% 201.20/201.37 pppp9-{F}(V0,V1,V2,V3), aNaturalNumber0-{F}(V4), doDivides0-{F}(V4,V1), V4 == V3, V4 == V1 | FALSE
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #99: input, references = 3, size of lhs = 6:
% 201.20/201.37 pppp9-{F}(V0,V6,V2,V3), aNaturalNumber0-{F}(V4), P_sdtasdt0-{F}(V4,V5,V6), aNaturalNumber0-{F}(V5), V4 == V3, V4 == V6 | FALSE
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #100: input, references = 3, size of lhs = 1:
% 201.20/201.37 pppp9-{F}(V0,V3,V2,V3) | FALSE
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #101: input, references = 3, size of lhs = 1:
% 201.20/201.37 pppp9-{F}(V0,V2,V2,V3) | FALSE
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #102: input, references = 4, size of lhs = 1:
% 201.20/201.37 pppp9-{F}(V0,V1,V2,V3) | doDivides0-{T}(V1,V0)
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #103: input, references = 3, size of lhs = 1:
% 201.20/201.37 pppp9-{F}(V0,V1,V2,V3) | EXISTS V4: pppp8-{T}(V0,V1,V4)
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #104: input, references = 4, size of lhs = 1:
% 201.20/201.37 pppp9-{F}(V0,V1,V2,V3) | aNaturalNumber0-{T}(V1)
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #105: input, references = 3, size of lhs = 3:
% 201.20/201.37 pppp8-{F}(V0,V1,V2), P_sdtasdt0-{F}(V1,V2,V3), V0 == V3 | FALSE
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #106: input, references = 3, size of lhs = 2:
% 201.20/201.37 pppp8-{F}(V0,V1,V2), P_sdtasdt0-{F}(V1,V2,V3) | aNaturalNumber0-{T}(V2)
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #107: input, references = 4, size of lhs = 0:
% 201.20/201.37 FALSE | EXISTS V0: P_sz00-{T}(V0)
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #108: input, references = 4, size of lhs = 0:
% 201.20/201.37 FALSE | EXISTS V0: P_sz10-{T}(V0)
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #109: input, references = 10, size of lhs = 2:
% 201.20/201.37 #-{F} V0, #-{F} V1 | EXISTS V2: P_sdtpldt0-{T}(V0,V1,V2)
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #110: input, references = 12, size of lhs = 2:
% 201.20/201.37 #-{F} V0, #-{F} V1 | EXISTS V2: P_sdtasdt0-{T}(V0,V1,V2)
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #111: input, references = 4, size of lhs = 2:
% 201.20/201.37 #-{F} V0, #-{F} V1 | EXISTS V2: P_sdtmndt0-{T}(V0,V1,V2)
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #112: input, references = 5, size of lhs = 2:
% 201.20/201.37 #-{F} V0, #-{F} V1 | EXISTS V2: P_sdtsldt0-{T}(V0,V1,V2)
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 number of initial rules = 113
% 201.20/201.37
% 201.20/201.37 Simplifiers:
% 201.20/201.37 #113: unsound, references = 3, size of lhs = 3:
% 201.20/201.37 P_sz00-{F}(V0), P_sz00-{F}(V1), V0 == V1 | FALSE
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #114: unsound, references = 3, size of lhs = 3:
% 201.20/201.37 P_sz10-{F}(V0), P_sz10-{F}(V1), V0 == V1 | FALSE
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #115: unsound, references = 3, size of lhs = 3:
% 201.20/201.37 P_sdtpldt0-{F}(V0,V1,V2), P_sdtpldt0-{F}(V0,V1,V5), V2 == V5 | FALSE
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #116: unsound, references = 3, size of lhs = 3:
% 201.20/201.37 P_sdtasdt0-{F}(V0,V1,V2), P_sdtasdt0-{F}(V0,V1,V5), V2 == V5 | FALSE
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #117: unsound, references = 3, size of lhs = 3:
% 201.20/201.37 P_sdtmndt0-{F}(V0,V1,V2), P_sdtmndt0-{F}(V0,V1,V5), V2 == V5 | FALSE
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #118: unsound, references = 3, size of lhs = 3:
% 201.20/201.37 P_sdtsldt0-{F}(V0,V1,V2), P_sdtsldt0-{F}(V0,V1,V5), V2 == V5 | FALSE
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #119: unsound, references = 3, size of lhs = 3:
% 201.20/201.37 pppp5-{F}(V0,V1,V2), pppp5-{F}(V0,V1,V5), V2 == V5 | FALSE
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #120: unsound, references = 3, size of lhs = 3:
% 201.20/201.37 pppp6-{F}(V0,V1,V2), pppp6-{F}(V0,V1,V5), V2 == V5 | FALSE
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #121: unsound, references = 3, size of lhs = 3:
% 201.20/201.37 pppp7-{F}(V0,V1,V2), pppp7-{F}(V0,V4,V2), V1 == V4 | FALSE
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #122: unsound, references = 3, size of lhs = 3:
% 201.20/201.37 pppp7-{F}(V0,V1,V2), pppp7-{F}(V3,V4,V5), V2 == V5 | FALSE
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #123: unsound, references = 3, size of lhs = 3:
% 201.20/201.37 pppp8-{F}(V0,V1,V2), pppp8-{F}(V0,V1,V5), V2 == V5 | FALSE
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #124: unsound, references = 3, size of lhs = 3:
% 201.20/201.37 pppp9-{F}(V0,V1,V2,V3), pppp9-{F}(V0,V5,V2,V3), V1 == V5 | FALSE
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #125: unsound, references = 3, size of lhs = 3:
% 201.20/201.37 pppp9-{F}(V0,V1,V2,V3), pppp9-{F}(V4,V5,V6,V7), V2 == V6 | FALSE
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #126: unsound, references = 3, size of lhs = 3:
% 201.20/201.37 pppp9-{F}(V0,V1,V2,V3), pppp9-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #127: unsound, references = 3, size of lhs = 3:
% 201.20/201.37 pppp10-{F}(V0,V1,V2,V3), pppp10-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #128: unsound, references = 3, size of lhs = 3:
% 201.20/201.37 pppp10-{F}(V0,V1,V2,V3), pppp10-{F}(V4,V5,V6,V7), V1 == V5 | FALSE
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #129: unsound, references = 3, size of lhs = 3:
% 201.20/201.37 pppp10-{F}(V0,V1,V2,V3), pppp10-{F}(V4,V5,V6,V7), V2 == V6 | FALSE
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #130: unsound, references = 3, size of lhs = 3:
% 201.20/201.37 pppp11-{F}(V0,V1,V2), pppp11-{F}(V0,V1,V5), V2 == V5 | FALSE
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #131: unsound, references = 3, size of lhs = 3:
% 201.20/201.37 pppp12-{F}(V0,V1,V2), pppp12-{F}(V0,V4,V2), V1 == V4 | FALSE
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #132: unsound, references = 3, size of lhs = 3:
% 201.20/201.37 pppp12-{F}(V0,V1,V2), pppp12-{F}(V3,V4,V5), V2 == V5 | FALSE
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #133: unsound, references = 3, size of lhs = 3:
% 201.20/201.37 pppp13-{F}(V0,V1,V2), pppp13-{F}(V0,V1,V5), V2 == V5 | FALSE
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #134: unsound, references = 3, size of lhs = 3:
% 201.20/201.37 pppp13-{F}(V0,V1,V2), pppp13-{F}(V3,V4,V5), V1 == V4 | FALSE
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #135: unsound, references = 3, size of lhs = 3:
% 201.20/201.37 pppp14-{F}(V0,V1,V2), pppp14-{F}(V3,V1,V2), V0 == V3 | FALSE
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #136: unsound, references = 3, size of lhs = 3:
% 201.20/201.37 pppp14-{F}(V0,V1,V2), pppp14-{F}(V3,V4,V5), V1 == V4 | FALSE
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #137: unsound, references = 3, size of lhs = 3:
% 201.20/201.37 pppp14-{F}(V0,V1,V2), pppp14-{F}(V3,V4,V5), V2 == V5 | FALSE
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #138: unsound, references = 3, size of lhs = 3:
% 201.20/201.37 pppp15-{F}(V0,V1,V2), pppp15-{F}(V0,V1,V5), V2 == V5 | FALSE
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #139: unsound, references = 3, size of lhs = 3:
% 201.20/201.37 pppp15-{F}(V0,V1,V2), pppp15-{F}(V3,V4,V5), V0 == V3 | FALSE
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #140: unsound, references = 3, size of lhs = 3:
% 201.20/201.37 pppp15-{F}(V0,V1,V2), pppp15-{F}(V3,V4,V5), V1 == V4 | FALSE
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #141: unsound, references = 3, size of lhs = 3:
% 201.20/201.37 pppp16-{F}(V0,V1), pppp16-{F}(V2,V3), V1 == V3 | FALSE
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 number of simplifiers = 29
% 201.20/201.37
% 201.20/201.37 Learnt:
% 201.20/201.37 #144: exists( #109, #7 ), references = 1, size of lhs = 3:
% 201.20/201.37 P_sz00-{F}(V0), aNaturalNumber0-{F}(V0), P_sz10-{F}(V1) | P_sdtpldt0-{T}(V0,V0,V0)
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #147: exists( #110, #13 ), references = 1, size of lhs = 3:
% 201.20/201.37 P_sz00-{F}(V0), aNaturalNumber0-{F}(V0), P_sz10-{F}(V1) | P_sdtasdt0-{T}(V0,V0,V0)
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #149: exists( #111, #31 ), references = 4, size of lhs = 6:
% 201.20/201.37 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)
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #155: exists( #110, #11 ), references = 1, size of lhs = 3:
% 201.20/201.37 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V1) | P_sdtasdt0-{T}(V1,V1,V1)
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #168: exists( #109, #8 ), references = 2, size of lhs = 5:
% 201.20/201.37 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V0,V2,V3), V2 == V3 | FALSE
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #169: exists( #109, #5 ), references = 7, size of lhs = 5:
% 201.20/201.37 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), P_sdtpldt0-{F}(V2,V3,V4) | P_sdtpldt0-{T}(V3,V2,V4)
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #171: exists( #109, #167 ), references = 4, size of lhs = 3:
% 201.20/201.37 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2) | P_sdtpldt0-{T}(V0,V2,V2)
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #181: exists( #112, #58 ), references = 1, size of lhs = 7:
% 201.20/201.37 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)
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #189: exists( #112, #66 ), references = 1, size of lhs = 10:
% 201.20/201.37 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)
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #193: exists( #110, #60 ), references = 1, size of lhs = 3:
% 201.20/201.37 P_sz00-{F}(V0), P_sz10-{F}(V1), pppp3-{F}(V2,V3,V4) | P_sdtasdt0-{T}(V2,V4,V3)
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #194: exists( #110, #12 ), references = 1, size of lhs = 4:
% 201.20/201.37 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtasdt0-{F}(V2,V1,V3) | P_sdtasdt0-{T}(V1,V2,V2)
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #195: exists( #110, #13 ), references = 1, size of lhs = 4:
% 201.20/201.37 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtasdt0-{F}(V0,V2,V3) | P_sdtasdt0-{T}(V2,V0,V0)
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #206: exists( #110, #55 ), references = 3, size of lhs = 1:
% 201.20/201.37 pppp6-{F}(V0,V1,V2) | P_sdtasdt0-{T}(V0,V2,V1)
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #212: mergings( V0 == V3, V1 == V5; #209 ), references = 1, size of lhs = 5:
% 201.20/201.37 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), V2 == V0, pppp2-{F}(V2,V0) | pppp6-{T}(V2,V0,V0)
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #226: exists( #110, #11 ), references = 5, size of lhs = 4:
% 201.20/201.37 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtasdt0-{F}(V1,V2,V3) | P_sdtasdt0-{T}(V2,V1,V2)
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #227: exists( #110, #9 ), references = 4, size of lhs = 5:
% 201.20/201.37 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), P_sdtasdt0-{F}(V2,V3,V4) | P_sdtasdt0-{T}(V3,V2,V4)
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #228: exists( #110, #16 ), references = 1, size of lhs = 13:
% 201.20/201.37 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}(V5,V2,V8), P_sdtpldt0-{F}(V7,V8,V9), P_sdtasdt0-{F}(V3,V5,V10), P_sdtasdt0-{F}(V2,V5,V11), P_sdtpldt0-{F}(V10,V11,V12) | P_sdtasdt0-{T}(V4,V5,V12)
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #231: exists( #110, #15 ), references = 1, size of lhs = 12:
% 201.20/201.37 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)
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #232: exists( #110, #16 ), references = 1, size of lhs = 12:
% 201.20/201.37 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)
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #247: mergings( V0 == V5, V5 == V7, V1 == V6, V6 == V8; #242 ), references = 1, size of lhs = 8:
% 201.20/201.37 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)
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #250: exists( #109, #28 ), references = 3, size of lhs = 1:
% 201.20/201.37 pppp5-{F}(V0,V1,V2) | P_sdtpldt0-{T}(V0,V2,V1)
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #256: mergings( V0 == V2, V1 == V5; #253 ), references = 1, size of lhs = 3:
% 201.20/201.37 P_sz00-{F}(V0), pppp0-{F}(V0,V1), P_sz10-{F}(V2) | pppp5-{T}(V0,V1,V1)
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #283: mergings( V3 == V5, V4 == V0; #278 ), references = 5, size of lhs = 4:
% 201.20/201.37 aNaturalNumber0-{F}(V0), P_sz10-{F}(V0), P_sz00-{F}(V1), aNaturalNumber0-{F}(V2) | P_sdtasdt0-{T}(V0,V2,V2)
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #317: mergings( V0 == V5, V5 == V7, V1 == V6, V6 == V8; #312 ), references = 1, size of lhs = 7:
% 201.20/201.37 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)
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #331: exists( #110, #15 ), references = 1, size of lhs = 12:
% 201.20/201.37 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)
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #332: exists( #110, #16 ), references = 1, size of lhs = 12:
% 201.20/201.37 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)
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #336: exists( #109, #6 ), references = 1, size of lhs = 8:
% 201.20/201.37 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)
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #369: mergings( V3 == V5, V4 == V6; #365 ), references = 1, size of lhs = 13:
% 201.20/201.37 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)
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #372: mergings( V3 == V5, V4 == V6; #366 ), references = 1, size of lhs = 13:
% 201.20/201.37 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)
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #380: mergings( V0 == V3, V1 == V4; #376 ), references = 3, size of lhs = 7:
% 201.20/201.37 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), V2 == V0, V2 == V1, doDivides0-{F}(V2,V3), pppp14-{F}(V3,V4,V5) | pppp16-{T}(V2,V1)
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #383: mergings( V0 == V3, V1 == V4; #377 ), references = 1, size of lhs = 8:
% 201.20/201.37 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), V2 == V0, V2 == V1, aNaturalNumber0-{F}(V3), P_sdtasdt0-{F}(V2,V3,V4), pppp14-{F}(V4,V5,V6) | pppp16-{T}(V2,V1)
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #565: mergings( V1 == V8, V2 == V9, V0 == V7; #561 ), references = 3, size of lhs = 9:
% 201.20/201.37 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), doDivides0-{F}(V3,V2), iLess0-{F}(V3,V2), pppp14-{F}(V2,V4,V5), V3 == V4, V3 == V5 | FALSE
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #585: mergings( V3 == V5, V5 == V7, V4 == V6, V6 == V8; #580 ), references = 1, size of lhs = 6:
% 201.20/201.37 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), V2 == V0, pppp16-{F}(V2,V3), pppp14-{F}(V2,V4,V5) | pppp7-{T}(V2,V2,V3), pppp7-{T}(V2,V4,V3), pppp7-{T}(V2,V5,V3)
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #605: mergings( V0 == V2, V2 == V4, V4 == V9, V9 == V11, V11 == V13, V13 == V15, V1 == V3, V3 == V5, V5 == V10, V10 == V12, V12 == V14, V14 == V16, V8 == V18, V7 == V19; #590 ), references = 2, size of lhs = 12:
% 201.20/201.37 aNaturalNumber0-{F}(V0), aNaturalNumber0-{F}(V1), pppp16-{F}(V1,V2), pppp14-{F}(V1,V0,V2), P_sz00-{F}(V3), V1 == V3, P_sz10-{F}(V4), aNaturalNumber0-{F}(V5), V5 == V1, V5 == V0, V5 == V2, doDivides0-{F}(V5,V0) | pppp7-{T}(V1,V1,V2)
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #639: mergings( V0 == V3, V3 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V23, V23 == V25, V5 == V7, V7 == V9, V9 == V1, V1 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V24, V24 == V26; #614 ), references = 1, size of lhs = 8:
% 201.20/201.37 aNaturalNumber0-{F}(V0), P_sz00-{F}(V0), aNaturalNumber0-{F}(V1), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), V2 == V0, V2 == V1, doDivides0-{F}(V2,V0) | pppp15-{T}(V0,V1,V0), pppp15-{T}(V0,V1,V1), pppp15-{T}(V0,V1,V2)
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #669: mergings( V3 == V5, V5 == V7, V7 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V20, V4 == V6, V6 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V21; #653 ), references = 1, size of lhs = 10:
% 201.20/201.37 aNaturalNumber0-{F}(V0), aNaturalNumber0-{F}(V1), aNaturalNumber0-{F}(V2), P_sz00-{F}(V2), aNaturalNumber0-{F}(V3), P_sz10-{F}(V3), aNaturalNumber0-{F}(V4), V4 == V2, pppp16-{F}(V4,V5), pppp14-{F}(V4,V2,V5) | P_sdtpldt0-{T}(V1,V0,V2), P_sdtpldt0-{T}(V1,V0,V4), P_sdtpldt0-{T}(V1,V0,V5)
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #699: mergings( V0 == V4, V4 == V6, V6 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V19, V19 == V21, V21 == V23, V23 == V26, V26 == V28, V1 == V5, V5 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V20, V20 == V22, V22 == V24, V24 == V27, V27 == V29; #673 ), references = 3, size of lhs = 17:
% 201.20/201.37 aNaturalNumber0-{F}(V0), P_sz00-{F}(V0), aNaturalNumber0-{F}(V1), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), V2 == V0, pppp16-{F}(V2,V3), pppp14-{F}(V2,V0,V3), aNaturalNumber0-{F}(V3), aNaturalNumber0-{F}(V4), aNaturalNumber0-{F}(V5), sdtlseqdt0-{F}(V5,V2), sdtlseqdt0-{F}(V5,V3), P_sdtmndt0-{F}(V2,V5,V6), V4 == V6, P_sdtmndt0-{F}(V3,V5,V7), V4 == V7 | P_sdtpldt0-{T}(V5,V4,V0)
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #723: mergings( V0 == V4, V4 == V6, V6 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V19, V19 == V21, V21 == V23, V23 == V27, V27 == V29, V1 == V5, V5 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V20, V20 == V22, V22 == V24, V24 == V28, V28 == V30; #674 ), references = 1, size of lhs = 18:
% 201.20/201.37 aNaturalNumber0-{F}(V0), P_sz00-{F}(V0), aNaturalNumber0-{F}(V1), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), V2 == V0, pppp16-{F}(V2,V3), pppp14-{F}(V2,V0,V3), aNaturalNumber0-{F}(V3), aNaturalNumber0-{F}(V4), aNaturalNumber0-{F}(V5), P_sdtpldt0-{F}(V5,V4,V2), P_sdtpldt0-{F}(V4,V5,V6), aNaturalNumber0-{F}(V7), V7 == V4, sdtlseqdt0-{F}(V7,V3), P_sdtmndt0-{F}(V3,V7,V8), V5 == V8 | P_sdtpldt0-{T}(V7,V5,V0)
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #747: mergings( V0 == V4, V4 == V6, V6 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V19, V19 == V21, V21 == V23, V23 == V27, V27 == V29, V1 == V5, V5 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V20, V20 == V22, V22 == V24, V24 == V28, V28 == V30; #675 ), references = 1, size of lhs = 18:
% 201.20/201.37 aNaturalNumber0-{F}(V0), P_sz00-{F}(V0), aNaturalNumber0-{F}(V1), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), V2 == V0, pppp16-{F}(V2,V3), pppp14-{F}(V2,V0,V3), aNaturalNumber0-{F}(V3), aNaturalNumber0-{F}(V4), aNaturalNumber0-{F}(V5), P_sdtpldt0-{F}(V4,V5,V2), P_sdtpldt0-{F}(V5,V4,V6), aNaturalNumber0-{F}(V7), V7 == V4, sdtlseqdt0-{F}(V7,V3), P_sdtmndt0-{F}(V3,V7,V8), V5 == V8 | P_sdtpldt0-{T}(V7,V5,V0)
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #778: mergings( V0 == V1, V1 == V2, V2 == V4, V4 == V6, V6 == V9, V9 == V12, V12 == V14, V14 == V16, V16 == V19, V19 == V21, V3 == V5, V5 == V7, V7 == V8, V8 == V10, V10 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V18, V18 == V20, V20 == V22; #756 ), references = 1, size of lhs = 8:
% 201.20/201.37 aNaturalNumber0-{F}(V0), P_sz00-{F}(V0), aNaturalNumber0-{F}(V1), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), V2 == V0, V2 == V1, doDivides0-{F}(V2,V0) | pppp15-{T}(V0,V1,V2)
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #859: mergings( V3 == V5, V5 == V7, V7 == V10, V10 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V23, V23 == V25, V25 == V26, V26 == V28, V28 == V30, V30 == V32, V32 == V35, V35 == V37, V37 == V39, V39 == V42, V42 == V44, V44 == V46, V46 == V48, V4 == V6, V6 == V8, V8 == V9, V9 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V24, V24 == V27, V27 == V29, V29 == V31, V31 == V33, V33 == V34, V34 == V36, V36 == V38, V38 == V40, V40 == V41, V41 == V43, V43 == V45, V45 == V47, V47 == V49, V49 == V50; #811 ), references = 1, size of lhs = 8:
% 201.20/201.37 aNaturalNumber0-{F}(V0), aNaturalNumber0-{F}(V1), P_sz00-{F}(V1), aNaturalNumber0-{F}(V2), P_sz10-{F}(V2), aNaturalNumber0-{F}(V3), sdtlseqdt0-{F}(V3,V2), P_sdtmndt0-{F}(V2,V3,V4) | P_sdtpldt0-{T}(V3,V0,V0), P_sdtpldt0-{T}(V3,V0,V1), P_sdtpldt0-{T}(V3,V0,V2), P_sdtpldt0-{T}(V3,V0,V4)
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #906: mergings( V3 == V5, V5 == V7, V7 == V10, V10 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V23, V23 == V25, V25 == V26, V26 == V28, V28 == V30, V30 == V32, V32 == V35, V35 == V37, V37 == V39, V39 == V42, V42 == V44, V44 == V46, V46 == V48, V4 == V6, V6 == V8, V8 == V9, V9 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V24, V24 == V27, V27 == V29, V29 == V31, V31 == V33, V33 == V34, V34 == V36, V36 == V38, V38 == V40, V40 == V41, V41 == V43, V43 == V45, V45 == V47, V47 == V49, V49 == V50; #812 ), references = 1, size of lhs = 9:
% 201.20/201.37 aNaturalNumber0-{F}(V0), aNaturalNumber0-{F}(V1), P_sz00-{F}(V1), aNaturalNumber0-{F}(V2), P_sz10-{F}(V2), aNaturalNumber0-{F}(V3), V3 == V1, sdtlseqdt0-{F}(V3,V2), P_sdtmndt0-{F}(V2,V3,V4) | P_sdtpldt0-{T}(V3,V0,V0), P_sdtpldt0-{T}(V3,V0,V1), P_sdtpldt0-{T}(V3,V0,V2), P_sdtpldt0-{T}(V3,V0,V4)
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #965: mergings( V0 == V2, V2 == V4, V4 == V8, V8 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V23, V23 == V24, V24 == V26, V26 == V28, V28 == V30, V30 == V33, V33 == V35, V35 == V37, V37 == V40, V40 == V42, V42 == V46, V46 == V44, V44 == V50, V1 == V3, V3 == V5, V5 == V7, V7 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V25, V25 == V27, V27 == V29, V29 == V31, V31 == V32, V32 == V34, V34 == V36, V36 == V38, V38 == V39, V39 == V41, V41 == V43, V43 == V45, V45 == V47, V47 == V48, V48 == V51, V51 == V52, V52 == V53; #907 ), references = 1, size of lhs = 9:
% 201.20/201.37 aNaturalNumber0-{F}(V0), P_sz00-{F}(V0), aNaturalNumber0-{F}(V1), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), V3 == V0, sdtlseqdt0-{F}(V3,V1), P_sdtmndt0-{F}(V1,V3,V0) | P_sdtpldt0-{T}(V3,V2,V2), P_sdtpldt0-{T}(V3,V2,V1)
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #1016: mergings( V0 == V2, V2 == V4, V4 == V8, V8 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V23, V23 == V24, V24 == V26, V26 == V28, V28 == V30, V30 == V33, V33 == V35, V35 == V37, V37 == V40, V40 == V42, V42 == V46, V46 == V44, V44 == V50, V1 == V3, V3 == V5, V5 == V7, V7 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V25, V25 == V27, V27 == V29, V29 == V31, V31 == V32, V32 == V34, V34 == V36, V36 == V38, V38 == V39, V39 == V41, V41 == V43, V43 == V45, V45 == V47, V47 == V48, V48 == V51, V51 == V52, V52 == V53; #908 ), references = 1, size of lhs = 10:
% 201.20/201.37 aNaturalNumber0-{F}(V0), P_sz00-{F}(V0), aNaturalNumber0-{F}(V1), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), V2 == V0, aNaturalNumber0-{F}(V3), V3 == V0, sdtlseqdt0-{F}(V3,V1), P_sdtmndt0-{F}(V1,V3,V0) | P_sdtpldt0-{T}(V3,V2,V2), P_sdtpldt0-{T}(V3,V2,V1)
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #1067: mergings( V0 == V2, V2 == V4, V4 == V8, V8 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V23, V23 == V24, V24 == V26, V26 == V28, V28 == V30, V30 == V33, V33 == V35, V35 == V37, V37 == V40, V40 == V42, V42 == V46, V46 == V44, V44 == V50, V1 == V3, V3 == V5, V5 == V7, V7 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V25, V25 == V27, V27 == V29, V29 == V31, V31 == V32, V32 == V34, V34 == V36, V36 == V38, V38 == V39, V39 == V41, V41 == V43, V43 == V45, V45 == V47, V47 == V48, V48 == V51, V51 == V52, V52 == V53; #909 ), references = 1, size of lhs = 10:
% 201.20/201.37 aNaturalNumber0-{F}(V0), P_sz00-{F}(V0), aNaturalNumber0-{F}(V1), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), V2 == V0, aNaturalNumber0-{F}(V3), V3 == V0, sdtlseqdt0-{F}(V3,V1), P_sdtmndt0-{F}(V1,V3,V0) | P_sdtpldt0-{T}(V3,V2,V2), P_sdtpldt0-{T}(V3,V2,V1)
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #1123: mergings( V0 == V2, V2 == V4, V4 == V7, V7 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V23, V23 == V25, V25 == V27, V27 == V29, V29 == V32, V32 == V34, V34 == V36, V36 == V39, V39 == V41, V41 == V44, V44 == V47, V47 == V50, V50 == V53, V1 == V3, V3 == V5, V5 == V6, V6 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V24, V24 == V26, V26 == V28, V28 == V30, V30 == V31, V31 == V33, V33 == V35, V35 == V37, V37 == V38, V38 == V40, V40 == V42, V42 == V43, V43 == V45, V45 == V46, V46 == V48, V48 == V49, V49 == V51, V51 == V54; #1068 ), references = 1, size of lhs = 12:
% 201.20/201.37 aNaturalNumber0-{F}(V0), P_sz00-{F}(V0), aNaturalNumber0-{F}(V1), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), V3 == V0, V3 == V2, sdtlseqdt0-{F}(V3,V1), P_sdtmndt0-{F}(V1,V3,V0), P_sdtpldt0-{F}(V3,V2,V3), P_sdtpldt0-{F}(V2,V3,V4) | P_sdtpldt0-{T}(V3,V3,V1)
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #1176: mergings( V0 == V2, V2 == V4, V4 == V7, V7 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V23, V23 == V25, V25 == V27, V27 == V29, V29 == V32, V32 == V34, V34 == V36, V36 == V39, V39 == V41, V41 == V44, V44 == V47, V47 == V50, V50 == V53, V1 == V3, V3 == V5, V5 == V6, V6 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V24, V24 == V26, V26 == V28, V28 == V30, V30 == V31, V31 == V33, V33 == V35, V35 == V37, V37 == V38, V38 == V40, V40 == V42, V42 == V43, V43 == V45, V45 == V46, V46 == V48, V48 == V49, V49 == V51, V51 == V54; #1069 ), references = 1, size of lhs = 12:
% 201.20/201.37 aNaturalNumber0-{F}(V0), P_sz00-{F}(V0), aNaturalNumber0-{F}(V1), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), V3 == V0, V3 == V2, sdtlseqdt0-{F}(V3,V1), P_sdtmndt0-{F}(V1,V3,V0), P_sdtpldt0-{F}(V2,V3,V3), P_sdtpldt0-{F}(V3,V2,V4) | P_sdtpldt0-{T}(V3,V3,V1)
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #1229: mergings( V0 == V2, V2 == V4, V4 == V7, V7 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V23, V23 == V25, V25 == V27, V27 == V29, V29 == V32, V32 == V34, V34 == V36, V36 == V39, V39 == V41, V41 == V44, V44 == V47, V47 == V50, V50 == V53, V1 == V3, V3 == V5, V5 == V6, V6 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V24, V24 == V26, V26 == V28, V28 == V30, V30 == V31, V31 == V33, V33 == V35, V35 == V37, V37 == V38, V38 == V40, V40 == V42, V42 == V43, V43 == V45, V45 == V46, V46 == V48, V48 == V49, V49 == V51, V51 == V54; #1070 ), references = 1, size of lhs = 13:
% 201.20/201.37 aNaturalNumber0-{F}(V0), P_sz00-{F}(V0), aNaturalNumber0-{F}(V1), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), sdtlseqdt0-{F}(V2,V3), V3 == V0, V2 == V3, sdtlseqdt0-{F}(V3,V1), P_sdtmndt0-{F}(V1,V3,V0), P_sdtpldt0-{F}(V3,V2,V3), aNaturalNumber0-{F}(V3), P_sdtpldt0-{F}(V2,V3,V4) | P_sdtpldt0-{T}(V3,V3,V1)
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #1286: 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, V27 == V28, V28 == V29, V29 == V30, V30 == V31; #1253 ), references = 1, size of lhs = 2:
% 201.20/201.37 aNaturalNumber0-{F}(V0), P_sz00-{F}(V0) | P_sz10-{T}(V0)
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 #1319: exists( #107, #1317 ), references = 1, size of lhs = 0:
% 201.20/201.37 FALSE | FALSE
% 201.20/201.37 (used 0 times, uses = {})
% 201.20/201.37
% 201.20/201.37 number of learnt formulas = 50
% 201.20/201.37
% 201.20/201.37
% 201.20/201.37 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 201.20/201.37
% 201.20/201.37 randbase = 1
%------------------------------------------------------------------------------