TSTP Solution File: NUM468+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : NUM468+1 : 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 57.36s 57.59s
% Output : Refutation 57.36s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM468+1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n012.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Jul 22 23:45:37 EDT 2022
% 0.12/0.34 % CPUTime :
% 57.36/57.59 GeoParameters:
% 57.36/57.59
% 57.36/57.59 tptp_input = 1
% 57.36/57.59 tptp_output = 0
% 57.36/57.59 nonempty = 1
% 57.36/57.59 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 57.36/57.59 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 57.36/57.59
% 57.36/57.59
% 57.36/57.59 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 57.36/57.59 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 57.36/57.59
% 57.36/57.59 RuleSystem INPUT:
% 57.36/57.59
% 57.36/57.59 Initial Rules:
% 57.36/57.59 #0: input, references = 4, size of lhs = 1:
% 57.36/57.59 P_sz00-{F}(V0) | aNaturalNumber0-{T}(V0)
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #1: input, references = 3, size of lhs = 2:
% 57.36/57.59 P_sz00-{F}(V0), P_sz10-{F}(V1) | aNaturalNumber0-{T}(V1)
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #2: input, references = 3, size of lhs = 2:
% 57.36/57.59 P_sz00-{F}(V0), P_sz10-{F}(V0) | FALSE
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #3: input, references = 13, size of lhs = 5:
% 57.36/57.59 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V3,V2,V4), aNaturalNumber0-{F}(V3) | aNaturalNumber0-{T}(V4)
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #4: input, references = 3, size of lhs = 5:
% 57.36/57.59 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtasdt0-{F}(V3,V2,V4), aNaturalNumber0-{F}(V3) | aNaturalNumber0-{T}(V4)
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #5: input, references = 4, size of lhs = 7:
% 57.36/57.59 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
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #6: input, references = 4, size of lhs = 10:
% 57.36/57.59 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
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #7: input, references = 5, size of lhs = 6:
% 57.36/57.59 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
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #8: input, references = 4, size of lhs = 6:
% 57.36/57.59 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
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #9: input, references = 4, size of lhs = 7:
% 57.36/57.59 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
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #10: input, references = 3, size of lhs = 10:
% 57.36/57.59 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
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #11: input, references = 4, size of lhs = 6:
% 57.36/57.59 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
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #12: input, references = 3, size of lhs = 6:
% 57.36/57.59 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
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #13: input, references = 5, size of lhs = 6:
% 57.36/57.59 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
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #14: input, references = 3, size of lhs = 6:
% 57.36/57.59 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
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #15: input, references = 4, size of lhs = 15:
% 57.36/57.59 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
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #16: input, references = 4, size of lhs = 15:
% 57.36/57.59 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
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #17: input, references = 5, size of lhs = 10:
% 57.36/57.59 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
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #18: input, references = 3, size of lhs = 10:
% 57.36/57.59 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
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #19: input, references = 3, size of lhs = 11:
% 57.36/57.59 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
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #20: input, references = 3, size of lhs = 11:
% 57.36/57.59 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
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #21: input, references = 3, size of lhs = 6:
% 57.36/57.59 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V3,V2,V0), aNaturalNumber0-{F}(V3), V3 == V0 | FALSE
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #22: input, references = 3, size of lhs = 6:
% 57.36/57.59 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V3,V2,V0), aNaturalNumber0-{F}(V3), V2 == V0 | FALSE
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #23: input, references = 3, size of lhs = 7:
% 57.36/57.59 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
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #24: input, references = 3, size of lhs = 5:
% 57.36/57.59 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), sdtlseqdt0-{F}(V3,V2) | pppp0-{T}(V3,V2)
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #25: input, references = 6, size of lhs = 5:
% 57.36/57.59 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), pppp0-{F}(V3,V2) | sdtlseqdt0-{T}(V3,V2)
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #26: input, references = 4, size of lhs = 3:
% 57.36/57.59 P_sz00-{F}(V0), P_sz10-{F}(V1), pppp0-{F}(V2,V3) | EXISTS V4: pppp4-{T}(V2,V3,V4)
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #27: input, references = 6, size of lhs = 4:
% 57.36/57.59 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtpldt0-{F}(V2,V4,V3), aNaturalNumber0-{F}(V4) | pppp0-{T}(V2,V3)
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #28: input, references = 5, size of lhs = 3:
% 57.36/57.59 pppp4-{F}(V0,V1,V2), P_sdtpldt0-{F}(V0,V2,V3), V3 == V1 | FALSE
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #29: input, references = 4, size of lhs = 2:
% 57.36/57.59 pppp4-{F}(V0,V1,V2), P_sdtpldt0-{F}(V0,V2,V3) | aNaturalNumber0-{T}(V2)
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #30: input, references = 9, size of lhs = 6:
% 57.36/57.59 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)
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #31: input, references = 6, size of lhs = 8:
% 57.36/57.59 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
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #32: input, references = 6, size of lhs = 4:
% 57.36/57.59 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtpldt0-{F}(V2,V4,V5), pppp1-{F}(V2,V3,V4) | aNaturalNumber0-{T}(V4)
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #33: input, references = 7, size of lhs = 5:
% 57.36/57.59 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtpldt0-{F}(V2,V4,V5), pppp1-{F}(V2,V3,V4), V5 == V3 | FALSE
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #34: input, references = 5, size of lhs = 4:
% 57.36/57.59 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtpldt0-{F}(V2,V4,V3), aNaturalNumber0-{F}(V4) | pppp1-{T}(V2,V3,V4)
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #35: input, references = 3, size of lhs = 3:
% 57.36/57.59 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2) | sdtlseqdt0-{T}(V2,V2)
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #36: input, references = 5, size of lhs = 7:
% 57.36/57.59 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
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #37: input, references = 3, size of lhs = 7:
% 57.36/57.59 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)
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #38: input, references = 3, size of lhs = 3:
% 57.36/57.59 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V3) | sdtlseqdt0-{T}(V3,V3)
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #39: input, references = 3, size of lhs = 4:
% 57.36/57.59 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3) | sdtlseqdt0-{T}(V3,V2), sdtlseqdt0-{T}(V2,V3)
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #40: input, references = 3, size of lhs = 11:
% 57.36/57.59 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
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #41: input, references = 6, size of lhs = 11:
% 57.36/57.59 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)
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #42: input, references = 3, size of lhs = 11:
% 57.36/57.59 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
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #43: input, references = 3, size of lhs = 11:
% 57.36/57.59 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)
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #44: input, references = 3, size of lhs = 12:
% 57.36/57.59 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
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #45: input, references = 4, size of lhs = 12:
% 57.36/57.59 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)
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #46: input, references = 3, size of lhs = 12:
% 57.36/57.59 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
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #47: input, references = 3, size of lhs = 12:
% 57.36/57.59 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)
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #48: input, references = 6, size of lhs = 5:
% 57.36/57.59 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), V2 == V0, V2 == V1 | sdtlseqdt0-{T}(V1,V2)
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #49: input, references = 4, size of lhs = 6:
% 57.36/57.59 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)
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #50: input, references = 3, size of lhs = 6:
% 57.36/57.59 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), sdtlseqdt0-{F}(V3,V2), V3 == V2 | iLess0-{T}(V3,V2)
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #51: input, references = 10, size of lhs = 5:
% 57.36/57.59 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), doDivides0-{F}(V3,V2) | pppp2-{T}(V3,V2)
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #52: input, references = 6, size of lhs = 5:
% 57.36/57.59 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), pppp2-{F}(V3,V2) | doDivides0-{T}(V3,V2)
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #53: input, references = 4, size of lhs = 3:
% 57.36/57.59 P_sz00-{F}(V0), P_sz10-{F}(V1), pppp2-{F}(V2,V3) | EXISTS V4: pppp5-{T}(V2,V3,V4)
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #54: input, references = 6, size of lhs = 4:
% 57.36/57.59 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtasdt0-{F}(V2,V4,V5), aNaturalNumber0-{F}(V4) | pppp2-{T}(V2,V5)
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #55: input, references = 6, size of lhs = 3:
% 57.36/57.59 pppp5-{F}(V0,V1,V2), P_sdtasdt0-{F}(V0,V2,V3), V1 == V3 | FALSE
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #56: input, references = 11, size of lhs = 2:
% 57.36/57.59 pppp5-{F}(V0,V1,V2), P_sdtasdt0-{F}(V0,V2,V3) | aNaturalNumber0-{T}(V2)
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #57: input, references = 5, size of lhs = 7:
% 57.36/57.59 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)
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #58: input, references = 5, size of lhs = 9:
% 57.36/57.59 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
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #59: input, references = 3, size of lhs = 4:
% 57.36/57.59 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtasdt0-{F}(V2,V4,V5), pppp3-{F}(V2,V3,V4) | aNaturalNumber0-{T}(V4)
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #60: input, references = 5, size of lhs = 5:
% 57.36/57.59 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtasdt0-{F}(V2,V4,V5), pppp3-{F}(V2,V3,V4), V3 == V5 | FALSE
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #61: input, references = 12, size of lhs = 4:
% 57.36/57.59 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtasdt0-{F}(V2,V4,V5), aNaturalNumber0-{F}(V4) | pppp3-{T}(V2,V5,V4)
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #62: input, references = 6, size of lhs = 7:
% 57.36/57.59 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)
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #63: input, references = 6, size of lhs = 5:
% 57.36/57.59 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xl-{F}(V2), P_xm-{F}(V3), P_xn-{F}(V4) | aNaturalNumber0-{T}(V2)
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #64: input, references = 6, size of lhs = 5:
% 57.36/57.59 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xl-{F}(V2), P_xm-{F}(V3), P_xn-{F}(V4) | aNaturalNumber0-{T}(V3)
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #65: input, references = 8, size of lhs = 5:
% 57.36/57.59 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xl-{F}(V2), P_xm-{F}(V3), P_xn-{F}(V4) | aNaturalNumber0-{T}(V4)
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #66: input, references = 8, size of lhs = 5:
% 57.36/57.59 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xl-{F}(V2), P_xm-{F}(V3), P_xn-{F}(V4) | doDivides0-{T}(V2,V3)
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #67: input, references = 8, size of lhs = 5:
% 57.36/57.59 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xl-{F}(V2), P_xm-{F}(V3), P_xn-{F}(V4) | doDivides0-{T}(V2,V4)
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #68: input, references = 4, size of lhs = 10:
% 57.36/57.59 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xl-{F}(V0), P_xm-{F}(V3), P_xn-{F}(V4), P_sdtpldt0-{F}(V3,V4,V5), P_sdtsldt0-{F}(V3,V0,V6), P_sdtsldt0-{F}(V4,V0,V7), P_sdtpldt0-{F}(V6,V7,V8), P_sdtasdt0-{F}(V0,V8,V9) | FALSE
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #69: input, references = 6, size of lhs = 10:
% 57.36/57.59 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xl-{F}(V2), P_xm-{F}(V3), P_xn-{F}(V4), P_sdtpldt0-{F}(V3,V4,V9), P_sdtsldt0-{F}(V3,V2,V6), P_sdtsldt0-{F}(V4,V2,V7), P_sdtpldt0-{F}(V6,V7,V8), P_sdtasdt0-{F}(V2,V8,V9) | FALSE
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #70: input, references = 4, size of lhs = 0:
% 57.36/57.59 FALSE | EXISTS V0: P_sz00-{T}(V0)
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #71: input, references = 4, size of lhs = 0:
% 57.36/57.59 FALSE | EXISTS V0: P_sz10-{T}(V0)
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #72: input, references = 19, size of lhs = 2:
% 57.36/57.59 #-{F} V0, #-{F} V1 | EXISTS V2: P_sdtpldt0-{T}(V0,V1,V2)
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #73: input, references = 10, size of lhs = 2:
% 57.36/57.59 #-{F} V0, #-{F} V1 | EXISTS V2: P_sdtasdt0-{T}(V0,V1,V2)
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #74: input, references = 6, size of lhs = 2:
% 57.36/57.59 #-{F} V0, #-{F} V1 | EXISTS V2: P_sdtmndt0-{T}(V0,V1,V2)
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #75: input, references = 9, size of lhs = 2:
% 57.36/57.59 #-{F} V0, #-{F} V1 | EXISTS V2: P_sdtsldt0-{T}(V0,V1,V2)
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #76: input, references = 4, size of lhs = 0:
% 57.36/57.59 FALSE | EXISTS V0: P_xl-{T}(V0)
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #77: input, references = 6, size of lhs = 0:
% 57.36/57.59 FALSE | EXISTS V0: P_xm-{T}(V0)
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #78: input, references = 9, size of lhs = 0:
% 57.36/57.59 FALSE | EXISTS V0: P_xn-{T}(V0)
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 number of initial rules = 79
% 57.36/57.59
% 57.36/57.59 Simplifiers:
% 57.36/57.59 #79: unsound, references = 3, size of lhs = 3:
% 57.36/57.59 P_sz00-{F}(V0), P_sz00-{F}(V1), V0 == V1 | FALSE
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #80: unsound, references = 3, size of lhs = 3:
% 57.36/57.59 P_sz10-{F}(V0), P_sz10-{F}(V1), V0 == V1 | FALSE
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #81: unsound, references = 3, size of lhs = 3:
% 57.36/57.59 P_sdtpldt0-{F}(V0,V1,V2), P_sdtpldt0-{F}(V0,V1,V5), V2 == V5 | FALSE
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #82: unsound, references = 3, size of lhs = 3:
% 57.36/57.59 P_sdtasdt0-{F}(V0,V1,V2), P_sdtasdt0-{F}(V0,V1,V5), V2 == V5 | FALSE
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #83: unsound, references = 3, size of lhs = 3:
% 57.36/57.59 P_sdtmndt0-{F}(V0,V1,V2), P_sdtmndt0-{F}(V0,V1,V5), V2 == V5 | FALSE
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #84: unsound, references = 3, size of lhs = 3:
% 57.36/57.59 P_sdtsldt0-{F}(V0,V1,V2), P_sdtsldt0-{F}(V0,V1,V5), V2 == V5 | FALSE
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #85: unsound, references = 3, size of lhs = 3:
% 57.36/57.59 P_xl-{F}(V0), P_xl-{F}(V1), V0 == V1 | FALSE
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #86: unsound, references = 3, size of lhs = 3:
% 57.36/57.59 P_xm-{F}(V0), P_xm-{F}(V1), V0 == V1 | FALSE
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #87: unsound, references = 3, size of lhs = 3:
% 57.36/57.59 P_xn-{F}(V0), P_xn-{F}(V1), V0 == V1 | FALSE
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #88: unsound, references = 3, size of lhs = 3:
% 57.36/57.59 pppp4-{F}(V0,V1,V2), pppp4-{F}(V0,V1,V5), V2 == V5 | FALSE
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #89: unsound, references = 3, size of lhs = 3:
% 57.36/57.59 pppp5-{F}(V0,V1,V2), pppp5-{F}(V0,V1,V5), V2 == V5 | FALSE
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 number of simplifiers = 11
% 57.36/57.59
% 57.36/57.59 Learnt:
% 57.36/57.59 #93: exists( #75, #58 ), references = 9, size of lhs = 7:
% 57.36/57.59 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)
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #95: exists( #72, #33 ), references = 4, size of lhs = 3:
% 57.36/57.59 P_sz00-{F}(V0), P_sz10-{F}(V1), pppp1-{F}(V2,V3,V4) | P_sdtpldt0-{T}(V2,V4,V3)
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #98: exists( #72, #8 ), references = 6, size of lhs = 4:
% 57.36/57.59 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V2,V0,V3) | P_sdtpldt0-{T}(V0,V2,V2)
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #99: exists( #72, #5 ), references = 5, size of lhs = 5:
% 57.36/57.59 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)
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #102: exists( #72, #7 ), references = 1, size of lhs = 3:
% 57.36/57.59 P_sz00-{F}(V0), aNaturalNumber0-{F}(V0), P_sz10-{F}(V1) | P_sdtpldt0-{T}(V0,V0,V0)
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #105: exists( #73, #13 ), references = 1, size of lhs = 3:
% 57.36/57.59 P_sz00-{F}(V0), aNaturalNumber0-{F}(V0), P_sz10-{F}(V1) | P_sdtasdt0-{T}(V0,V0,V0)
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #121: mergings( V3 == V1, V4 == V5; #116 ), references = 6, size of lhs = 4:
% 57.36/57.59 aNaturalNumber0-{F}(V0), P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2) | P_sdtpldt0-{T}(V2,V0,V2)
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #124: exists( #73, #13 ), references = 1, size of lhs = 5:
% 57.36/57.59 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtasdt0-{F}(V2,V0,V3), V3 == V0 | FALSE
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #125: exists( #73, #9 ), references = 19, size of lhs = 5:
% 57.36/57.59 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)
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #127: exists( #73, #123 ), references = 5, size of lhs = 3:
% 57.36/57.59 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2) | P_sdtasdt0-{T}(V2,V0,V0)
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #136: exists( #74, #31 ), references = 1, size of lhs = 6:
% 57.36/57.59 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)
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #152: mergings( V3 == V5, V4 == V1; #148 ), references = 5, size of lhs = 4:
% 57.36/57.59 aNaturalNumber0-{F}(V0), P_sz10-{F}(V0), P_sz00-{F}(V1), aNaturalNumber0-{F}(V2) | P_sdtasdt0-{T}(V2,V0,V2)
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #163: mergings( V3 == V6, V6 == V7, V7 == V9, V4 == V5, V5 == V8, V8 == V10; #156 ), references = 2, size of lhs = 10:
% 57.36/57.59 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) | FALSE
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #185: 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; #170 ), references = 2, size of lhs = 8:
% 57.36/57.59 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 | FALSE
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #218: 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; #205 ), references = 1, size of lhs = 6:
% 57.36/57.59 P_xm-{F}(V0), aNaturalNumber0-{F}(V1), P_xl-{F}(V1), P_sz10-{F}(V1), P_sz00-{F}(V2), V1 == V2 | FALSE
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #232: 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; #219 ), references = 1, size of lhs = 5:
% 57.36/57.59 aNaturalNumber0-{F}(V0), P_xl-{F}(V0), P_sz10-{F}(V0), P_sz00-{F}(V1), V0 == V1 | FALSE
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #284: exists( #72, #6 ), references = 2, size of lhs = 8:
% 57.36/57.59 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)
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #302: exists( #72, #300 ), references = 1, size of lhs = 8:
% 57.36/57.59 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), pppp4-{F}(V5,V7,V4) | P_sdtpldt0-{T}(V6,V2,V7)
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #316: exists( #73, #55 ), references = 9, size of lhs = 1:
% 57.36/57.59 pppp5-{F}(V0,V1,V2) | P_sdtasdt0-{T}(V0,V2,V1)
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #325: mergings( V0 == V5, V5 == V7, V1 == V6, V6 == V8; #320 ), references = 10, size of lhs = 8:
% 57.36/57.59 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)
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #375: mergings( V3 == V5, V4 == V6; #371 ), references = 7, size of lhs = 13:
% 57.36/57.59 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)
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #378: mergings( V3 == V5, V4 == V6; #372 ), references = 1, size of lhs = 13:
% 57.36/57.59 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)
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #400: mergings( V3 == V5, V5 == V8, V4 == V6, V6 == V7, V7 == V9; #394 ), references = 1, size of lhs = 13:
% 57.36/57.59 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_sz10-{F}(V3), P_xm-{F}(V4), P_sdtsldt0-{F}(V4,V0,V2), P_sdtpldt0-{F}(V4,V1,V1) | FALSE
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #438: 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; #411 ), references = 1, size of lhs = 6:
% 57.36/57.59 aNaturalNumber0-{F}(V0), P_xm-{F}(V0), P_sz00-{F}(V0), P_xl-{F}(V1), V1 == V0, P_sz10-{F}(V2) | FALSE
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #466: mergings( V3 == V5, V5 == V7, V7 == V16, V4 == V6, V6 == V8, V8 == V17; #457 ), references = 1, size of lhs = 17:
% 57.36/57.59 aNaturalNumber0-{F}(V0), aNaturalNumber0-{F}(V1), aNaturalNumber0-{F}(V2), P_xl-{F}(V2), P_sdtasdt0-{F}(V2,V1,V3), P_sdtasdt0-{F}(V2,V0,V4), P_sdtpldt0-{F}(V3,V4,V5), P_sdtasdt0-{F}(V1,V2,V6), P_sdtasdt0-{F}(V0,V2,V7), P_sdtpldt0-{F}(V6,V7,V8), P_sz00-{F}(V9), P_sz10-{F}(V10), P_xm-{F}(V11), P_sdtsldt0-{F}(V11,V2,V1), P_xn-{F}(V12), P_sdtpldt0-{F}(V11,V12,V5), P_sdtsldt0-{F}(V12,V2,V0) | FALSE
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #474: mergings( V3 == V5, V5 == V9, V9 == V12, V4 == V6, V6 == V10, V10 == V13; #467 ), references = 5, size of lhs = 14:
% 57.36/57.59 aNaturalNumber0-{F}(V0), aNaturalNumber0-{F}(V1), aNaturalNumber0-{F}(V2), P_xl-{F}(V2), P_sdtasdt0-{F}(V2,V1,V3), P_sdtasdt0-{F}(V1,V2,V3), P_xm-{F}(V3), P_sdtsldt0-{F}(V3,V2,V1), P_sdtasdt0-{F}(V2,V0,V4), P_sdtasdt0-{F}(V0,V2,V4), P_xn-{F}(V4), P_sdtsldt0-{F}(V4,V2,V0), P_sz00-{F}(V5), P_sz10-{F}(V6) | FALSE
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #512: mergings( V3 == V5, V5 == V7, V4 == V6, V6 == V8; #507 ), references = 5, size of lhs = 9:
% 57.36/57.59 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)
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #556: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V22, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V23; #545 ), references = 3, size of lhs = 21:
% 57.36/57.59 aNaturalNumber0-{F}(V0), aNaturalNumber0-{F}(V1), aNaturalNumber0-{F}(V2), P_xn-{F}(V2), aNaturalNumber0-{F}(V3), aNaturalNumber0-{F}(V4), doDivides0-{F}(V4,V2), P_xl-{F}(V4), P_sdtasdt0-{F}(V4,V1,V5), P_sdtasdt0-{F}(V4,V0,V6), P_sdtpldt0-{F}(V5,V6,V2), P_sdtasdt0-{F}(V1,V4,V7), P_sdtasdt0-{F}(V0,V4,V8), P_sdtpldt0-{F}(V7,V8,V9), P_sdtasdt0-{F}(V4,V3,V10), P_sdtasdt0-{F}(V3,V4,V10), P_xm-{F}(V10), P_sdtsldt0-{F}(V10,V4,V3), P_sz00-{F}(V11), V4 == V11, P_sz10-{F}(V12) | FALSE
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #611: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V17, V17 == V19, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V18, V18 == V20, V21 == V19; #594 ), references = 1, size of lhs = 15:
% 57.36/57.59 aNaturalNumber0-{F}(V0), P_sz10-{F}(V0), aNaturalNumber0-{F}(V1), sdtlseqdt0-{F}(V1,V2), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V1,V0,V3), V3 == V2, aNaturalNumber0-{F}(V3), pppp2-{F}(V2,V3), doDivides0-{F}(V2,V3), P_sdtpldt0-{F}(V0,V1,V4), P_sz00-{F}(V5), V2 == V5, V3 == V5, P_sdtasdt0-{F}(V2,V5,V5) | P_sdtmndt0-{T}(V2,V1,V5), P_sdtmndt0-{T}(V2,V1,V0)
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #629: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V17, V17 == V19, V19 == V21, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V18, V18 == V20, V20 == V22, V23 == V21; #595 ), references = 1, size of lhs = 15:
% 57.36/57.59 aNaturalNumber0-{F}(V0), P_sz10-{F}(V0), aNaturalNumber0-{F}(V1), sdtlseqdt0-{F}(V1,V2), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V1,V0,V3), V3 == V2, aNaturalNumber0-{F}(V3), pppp2-{F}(V2,V3), doDivides0-{F}(V2,V3), P_sdtpldt0-{F}(V0,V1,V4), P_sz00-{F}(V5), V2 == V5, V3 == V5, P_sdtasdt0-{F}(V2,V5,V5) | P_sdtmndt0-{T}(V2,V1,V5), P_sdtmndt0-{T}(V2,V1,V0)
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #651: mergings( V0 == V2, V2 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V16, V16 == V18, V18 == V21, V21 == V23, V1 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V17, V17 == V19, V19 == V22, V22 == V24, V20 == V23; #631 ), references = 2, size of lhs = 17:
% 57.36/57.59 aNaturalNumber0-{F}(V0), P_sz10-{F}(V0), aNaturalNumber0-{F}(V1), aNaturalNumber0-{F}(V2), V1 == V2, pppp2-{F}(V2,V1), doDivides0-{F}(V2,V1), aNaturalNumber0-{F}(V3), P_sdtpldt0-{F}(V3,V0,V1), sdtlseqdt0-{F}(V3,V2), P_sdtpldt0-{F}(V0,V3,V4), P_sz00-{F}(V5), V2 == V5, V1 == V5, P_sdtasdt0-{F}(V2,V5,V5), P_sdtpldt0-{F}(V3,V5,V6), V6 == V2 | P_sdtmndt0-{T}(V2,V3,V0)
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #682: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V17, V17 == V24, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V18, V18 == V25; #667 ), references = 1, size of lhs = 20:
% 57.36/57.59 aNaturalNumber0-{F}(V0), P_sz10-{F}(V0), aNaturalNumber0-{F}(V1), sdtlseqdt0-{F}(V1,V2), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V1,V0,V3), V3 == V2, aNaturalNumber0-{F}(V3), P_sdtpldt0-{F}(V0,V1,V4), aNaturalNumber0-{F}(V5), P_sdtasdt0-{F}(V5,V3,V6), aNaturalNumber0-{F}(V6), P_sdtasdt0-{F}(V5,V2,V7), V6 == V7, aNaturalNumber0-{F}(V7), sdtlseqdt0-{F}(V7,V6), P_sdtasdt0-{F}(V3,V5,V8), P_sdtasdt0-{F}(V2,V5,V9), P_sz00-{F}(V10), V5 == V10 | P_sdtmndt0-{T}(V2,V1,V10), P_sdtmndt0-{T}(V2,V1,V0)
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #703: mergings( V0 == V2, V2 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V16, V16 == V23, V23 == V25, V25 == V27, V1 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V17, V17 == V24, V24 == V26, V26 == V28; #684 ), references = 1, size of lhs = 22:
% 57.36/57.59 aNaturalNumber0-{F}(V0), P_sz10-{F}(V0), aNaturalNumber0-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtasdt0-{F}(V2,V1,V3), aNaturalNumber0-{F}(V3), aNaturalNumber0-{F}(V4), V3 == V4, sdtlseqdt0-{F}(V4,V3), P_sdtasdt0-{F}(V1,V2,V5), aNaturalNumber0-{F}(V6), V1 == V6, P_sdtasdt0-{F}(V2,V6,V4), P_sdtasdt0-{F}(V6,V2,V7), aNaturalNumber0-{F}(V8), P_sdtpldt0-{F}(V8,V0,V1), sdtlseqdt0-{F}(V8,V6), P_sdtpldt0-{F}(V0,V8,V9), P_sz00-{F}(V10), V2 == V10, P_sdtpldt0-{F}(V8,V10,V11), V11 == V6 | P_sdtmndt0-{T}(V6,V8,V0)
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #740: mergings( V2 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V15, V15 == V17, V17 == V19, V19 == V29, V29 == V31, V31 == V33, V33 == V35, V35 == V40, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V0, V0 == V16, V16 == V18, V18 == V20, V20 == V30, V30 == V32, V32 == V34, V34 == V36, V36 == V41, V22 == V23, V25 == V26; #709 ), references = 1, size of lhs = 19:
% 57.36/57.59 aNaturalNumber0-{F}(V0), P_sz10-{F}(V0), aNaturalNumber0-{F}(V1), P_sdtasdt0-{F}(V1,V0,V2), P_sdtpldt0-{F}(V2,V2,V3), aNaturalNumber0-{F}(V3), P_sdtasdt0-{F}(V0,V1,V4), P_sdtpldt0-{F}(V4,V4,V5), aNaturalNumber0-{F}(V6), V3 == V6, sdtlseqdt0-{F}(V6,V3), aNaturalNumber0-{F}(V7), P_sdtasdt0-{F}(V1,V7,V6), sdtlseqdt0-{F}(V0,V7), P_sdtasdt0-{F}(V7,V1,V8), P_sz00-{F}(V9), V1 == V9, P_sdtpldt0-{F}(V0,V9,V10), V10 == V7 | P_sdtpldt0-{T}(V0,V0,V7)
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #840: mergings( V3 == V5, V5 == V9, V4 == V6, V6 == V10; #833 ), references = 3, size of lhs = 14:
% 57.36/57.59 aNaturalNumber0-{F}(V0), P_xn-{F}(V0), aNaturalNumber0-{F}(V1), aNaturalNumber0-{F}(V2), pppp2-{F}(V2,V0), doDivides0-{F}(V2,V0), P_xl-{F}(V2), P_sdtasdt0-{F}(V2,V1,V3), P_sdtasdt0-{F}(V1,V2,V3), P_xm-{F}(V3), P_sdtsldt0-{F}(V3,V2,V1), P_sz00-{F}(V4), V2 == V4, P_sz10-{F}(V5) | FALSE
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #845: mergings( V3 == V5, V5 == V13, V4 == V6, V6 == V14; #834 ), references = 1, size of lhs = 21:
% 57.36/57.59 aNaturalNumber0-{F}(V0), aNaturalNumber0-{F}(V1), aNaturalNumber0-{F}(V2), P_xn-{F}(V2), aNaturalNumber0-{F}(V3), aNaturalNumber0-{F}(V4), pppp2-{F}(V4,V0), doDivides0-{F}(V4,V0), doDivides0-{F}(V4,V2), P_xl-{F}(V4), P_sdtasdt0-{F}(V4,V1,V5), P_sdtpldt0-{F}(V0,V5,V2), P_sdtasdt0-{F}(V1,V4,V6), P_sdtasdt0-{F}(V4,V3,V7), P_sdtasdt0-{F}(V3,V4,V7), P_xm-{F}(V7), P_sdtsldt0-{F}(V7,V4,V3), P_sz00-{F}(V8), V4 == V8, P_sz10-{F}(V9), P_sdtpldt0-{F}(V0,V6,V10) | FALSE
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #895: mergings( V1 == V4, V4 == V9, V9 == V10, V10 == V12, V12 == V14, V14 == V17, V17 == V19, V19 == V21, V21 == V24, V24 == V26, V26 == V28, V2 == V5, V5 == V8, V8 == V11, V11 == V13, V13 == V15, V15 == V18, V18 == V20, V20 == V22, V22 == V25, V25 == V27, V27 == V29, V6 == V23, V3 == V7, V7 == V16, V16 == V23; #867 ), references = 1, size of lhs = 6:
% 57.36/57.59 aNaturalNumber0-{F}(V0), P_sz10-{F}(V0), P_xm-{F}(V1), P_xl-{F}(V1), P_sz00-{F}(V2), V1 == V2 | FALSE
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #947: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V20, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V21; #934 ), references = 2, size of lhs = 17:
% 57.36/57.59 aNaturalNumber0-{F}(V0), aNaturalNumber0-{F}(V1), aNaturalNumber0-{F}(V2), P_xm-{F}(V2), P_xn-{F}(V2), aNaturalNumber0-{F}(V3), doDivides0-{F}(V3,V2), P_xl-{F}(V3), P_sdtasdt0-{F}(V3,V1,V4), P_sdtasdt0-{F}(V3,V0,V5), P_sdtpldt0-{F}(V4,V5,V2), P_sdtasdt0-{F}(V1,V3,V6), P_sdtasdt0-{F}(V0,V3,V7), P_sdtpldt0-{F}(V6,V7,V8), P_sz00-{F}(V9), V3 == V9, P_sz10-{F}(V10) | FALSE
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #958: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V21, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V22; #935 ), references = 1, size of lhs = 20:
% 57.36/57.59 aNaturalNumber0-{F}(V0), aNaturalNumber0-{F}(V1), aNaturalNumber0-{F}(V2), P_xm-{F}(V2), aNaturalNumber0-{F}(V3), P_xn-{F}(V3), aNaturalNumber0-{F}(V4), doDivides0-{F}(V4,V2), pppp2-{F}(V4,V3), doDivides0-{F}(V4,V3), P_xl-{F}(V4), P_sdtasdt0-{F}(V4,V1,V5), P_sdtasdt0-{F}(V4,V0,V6), P_sdtpldt0-{F}(V5,V6,V2), P_sdtasdt0-{F}(V1,V4,V7), P_sdtasdt0-{F}(V0,V4,V8), P_sdtpldt0-{F}(V7,V8,V9), P_sz00-{F}(V10), V4 == V10, P_sz10-{F}(V11) | FALSE
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #969: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V25, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V26; #936 ), references = 1, size of lhs = 24:
% 57.36/57.59 aNaturalNumber0-{F}(V0), aNaturalNumber0-{F}(V1), aNaturalNumber0-{F}(V2), P_xm-{F}(V2), aNaturalNumber0-{F}(V3), aNaturalNumber0-{F}(V4), P_xn-{F}(V4), aNaturalNumber0-{F}(V5), doDivides0-{F}(V5,V2), doDivides0-{F}(V5,V4), P_xl-{F}(V5), 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_sdtasdt0-{F}(V5,V3,V11), P_sdtpldt0-{F}(V2,V11,V4), P_sdtasdt0-{F}(V3,V5,V12), P_sdtpldt0-{F}(V2,V12,V13), P_sz00-{F}(V14), V5 == V14, P_sz10-{F}(V15) | FALSE
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #1022: mergings( V3 == V5, V5 == V7, V4 == V6, V6 == V8; #1015 ), references = 1, size of lhs = 10:
% 57.36/57.59 aNaturalNumber0-{F}(V0), P_xm-{F}(V0), P_xn-{F}(V0), aNaturalNumber0-{F}(V1), pppp2-{F}(V1,V0), doDivides0-{F}(V1,V0), P_xl-{F}(V1), P_sz00-{F}(V2), V1 == V2, P_sz10-{F}(V3) | FALSE
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #1027: mergings( V3 == V5, V5 == V8, V4 == V6, V6 == V9; #1016 ), references = 2, size of lhs = 13:
% 57.36/57.59 aNaturalNumber0-{F}(V0), P_xm-{F}(V0), aNaturalNumber0-{F}(V1), P_xn-{F}(V1), aNaturalNumber0-{F}(V2), pppp2-{F}(V2,V0), doDivides0-{F}(V2,V0), pppp2-{F}(V2,V1), doDivides0-{F}(V2,V1), P_xl-{F}(V2), P_sz00-{F}(V3), V2 == V3, P_sz10-{F}(V4) | FALSE
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #1032: mergings( V3 == V5, V5 == V11, V4 == V6, V6 == V12; #1017 ), references = 1, size of lhs = 17:
% 57.36/57.59 aNaturalNumber0-{F}(V0), aNaturalNumber0-{F}(V1), aNaturalNumber0-{F}(V2), P_xm-{F}(V2), P_xn-{F}(V2), aNaturalNumber0-{F}(V3), pppp2-{F}(V3,V0), doDivides0-{F}(V3,V0), doDivides0-{F}(V3,V2), P_xl-{F}(V3), P_sdtasdt0-{F}(V3,V1,V4), P_sdtpldt0-{F}(V0,V4,V2), P_sdtasdt0-{F}(V1,V3,V5), P_sz00-{F}(V6), V3 == V6, P_sz10-{F}(V7), P_sdtpldt0-{F}(V0,V5,V8) | FALSE
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #1081: mergings( V1 == V4, V4 == V7, V7 == V11, V11 == V13, V13 == V15, V15 == V18, V18 == V22, V2 == V5, V5 == V8, V8 == V12, V12 == V14, V14 == V16, V16 == V19, V19 == V23, V6 == V9, V9 == V21, V3 == V10, V10 == V17, V17 == V20; #1061 ), references = 1, size of lhs = 5:
% 57.36/57.59 P_xm-{F}(V0), P_xl-{F}(V1), P_sz00-{F}(V2), V1 == V2, P_sz10-{F}(V3) | FALSE
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #1099: mergings( V1 == V3, V3 == V6, V6 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V18, V2 == V4, V4 == V7, V7 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V19, V5 == V8, V8 == V17; #1082 ), references = 1, size of lhs = 4:
% 57.36/57.59 P_xl-{F}(V0), P_sz00-{F}(V1), V0 == V1, P_sz10-{F}(V2) | FALSE
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #1115: mergings( V1 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V2 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16; #1100 ), references = 1, size of lhs = 2:
% 57.36/57.59 P_sz00-{F}(V0), P_sz10-{F}(V1) | P_xl-{T}(V0)
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #1151: mergings( V3 == V6, V6 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V23, V23 == V26, V4 == V5, V5 == V7, V7 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V24, V24 == V25, V25 == V27; #1128 ), references = 1, size of lhs = 12:
% 57.36/57.59 aNaturalNumber0-{F}(V0), aNaturalNumber0-{F}(V1), aNaturalNumber0-{F}(V2), P_sz00-{F}(V2), doDivides0-{F}(V2,V3), V3 == V2, aNaturalNumber0-{F}(V3), aNaturalNumber0-{F}(V4), P_sdtpldt0-{F}(V2,V4,V3), P_sz10-{F}(V4), P_sdtpldt0-{F}(V4,V2,V5), P_sdtpldt0-{F}(V2,V2,V6) | P_sdtpldt0-{T}(V1,V0,V2), P_sdtpldt0-{T}(V1,V0,V3), P_sdtpldt0-{T}(V1,V0,V4), P_sdtpldt0-{T}(V1,V0,V6)
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #1181: mergings( V0 == V5, V5 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V25, V25 == V28, V1 == V4, V4 == V6, V6 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V23, V23 == V24, V24 == V26, V26 == V29, V29 == V30; #1152 ), references = 1, size of lhs = 13:
% 57.36/57.59 aNaturalNumber0-{F}(V0), P_sdtpldt0-{F}(V0,V0,V0), P_sz00-{F}(V0), doDivides0-{F}(V0,V1), V1 == V0, aNaturalNumber0-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V0,V2,V1), P_sz10-{F}(V2), P_sdtpldt0-{F}(V2,V0,V3), aNaturalNumber0-{F}(V4), aNaturalNumber0-{F}(V5), V5 == V0 | P_sdtpldt0-{T}(V5,V4,V1), P_sdtpldt0-{T}(V5,V4,V2)
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #1207: mergings( V0 == V5, V5 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V25, V25 == V28, V1 == V4, V4 == V6, V6 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V23, V23 == V24, V24 == V26, V26 == V29, V29 == V30; #1153 ), references = 1, size of lhs = 14:
% 57.36/57.59 aNaturalNumber0-{F}(V0), P_sdtpldt0-{F}(V0,V0,V0), P_sz00-{F}(V0), doDivides0-{F}(V0,V1), V1 == V0, aNaturalNumber0-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V0,V2,V1), P_sz10-{F}(V2), P_sdtpldt0-{F}(V2,V0,V3), aNaturalNumber0-{F}(V4), V4 == V0, aNaturalNumber0-{F}(V5), V5 == V0 | P_sdtpldt0-{T}(V5,V4,V1), P_sdtpldt0-{T}(V5,V4,V2)
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #1233: mergings( V0 == V5, V5 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V25, V25 == V28, V1 == V4, V4 == V6, V6 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V23, V23 == V24, V24 == V26, V26 == V29, V29 == V30; #1154 ), references = 1, size of lhs = 14:
% 57.36/57.59 aNaturalNumber0-{F}(V0), P_sdtpldt0-{F}(V0,V0,V0), P_sz00-{F}(V0), doDivides0-{F}(V0,V1), V1 == V0, aNaturalNumber0-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V0,V2,V1), P_sz10-{F}(V2), P_sdtpldt0-{F}(V2,V0,V3), aNaturalNumber0-{F}(V4), V4 == V0, aNaturalNumber0-{F}(V5), V5 == V0 | P_sdtpldt0-{T}(V5,V4,V1), P_sdtpldt0-{T}(V5,V4,V2)
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #1264: mergings( V0 == V3, V3 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V23, V23 == V26, V26 == V30, V1 == V2, V2 == V4, V4 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V21, V21 == V22, V22 == V24, V24 == V27, V27 == V28, V28 == V31; #1234 ), references = 1, size of lhs = 16:
% 57.36/57.59 aNaturalNumber0-{F}(V0), P_sdtpldt0-{F}(V0,V0,V0), P_sz00-{F}(V0), doDivides0-{F}(V0,V1), V1 == V0, aNaturalNumber0-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V0,V2,V1), P_sz10-{F}(V2), P_sdtpldt0-{F}(V2,V0,V3), aNaturalNumber0-{F}(V4), aNaturalNumber0-{F}(V5), V5 == V0, V5 == V4, P_sdtpldt0-{F}(V5,V4,V1), P_sdtpldt0-{F}(V4,V5,V6) | P_sdtpldt0-{T}(V5,V5,V2)
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #1292: mergings( V0 == V3, V3 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V23, V23 == V26, V26 == V30, V1 == V2, V2 == V4, V4 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V21, V21 == V22, V22 == V24, V24 == V27, V27 == V28, V28 == V31; #1235 ), references = 1, size of lhs = 16:
% 57.36/57.59 aNaturalNumber0-{F}(V0), P_sdtpldt0-{F}(V0,V0,V0), P_sz00-{F}(V0), doDivides0-{F}(V0,V1), V1 == V0, aNaturalNumber0-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V0,V2,V1), P_sz10-{F}(V2), P_sdtpldt0-{F}(V2,V0,V3), aNaturalNumber0-{F}(V4), aNaturalNumber0-{F}(V5), V5 == V0, V5 == V4, P_sdtpldt0-{F}(V4,V5,V1), P_sdtpldt0-{F}(V5,V4,V6) | P_sdtpldt0-{T}(V5,V5,V2)
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #1320: mergings( V0 == V3, V3 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V23, V23 == V26, V26 == V30, V1 == V2, V2 == V4, V4 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V21, V21 == V22, V22 == V24, V24 == V27, V27 == V28, V28 == V31; #1236 ), references = 1, size of lhs = 17:
% 57.36/57.59 aNaturalNumber0-{F}(V0), P_sdtpldt0-{F}(V0,V0,V0), P_sz00-{F}(V0), doDivides0-{F}(V0,V1), V1 == V0, aNaturalNumber0-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V0,V2,V1), P_sz10-{F}(V2), P_sdtpldt0-{F}(V2,V0,V3), aNaturalNumber0-{F}(V4), sdtlseqdt0-{F}(V4,V5), V5 == V0, V4 == V5, P_sdtpldt0-{F}(V5,V4,V1), aNaturalNumber0-{F}(V5), P_sdtpldt0-{F}(V4,V5,V6) | P_sdtpldt0-{T}(V5,V5,V2)
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #1334: exists( #72, #28 ), references = 1, size of lhs = 1:
% 57.36/57.59 pppp4-{F}(V0,V1,V2) | P_sdtpldt0-{T}(V0,V2,V1)
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #1343: mergings( V0 == V5, V5 == V7, V1 == V6, V6 == V8; #1338 ), references = 1, size of lhs = 7:
% 57.36/57.59 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)
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #1384: mergings( V3 == V5, V5 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V17, V17 == V20, V4 == V6, V6 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V18, V18 == V19, V19 == V21; #1365 ), references = 1, size of lhs = 7:
% 57.36/57.59 aNaturalNumber0-{F}(V0), aNaturalNumber0-{F}(V1), P_sz00-{F}(V1), doDivides0-{F}(V1,V2), V2 == V1, aNaturalNumber0-{F}(V2), P_sz10-{F}(V3) | P_sdtpldt0-{T}(V2,V0,V1), P_sdtpldt0-{T}(V2,V0,V2)
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #1404: mergings( V3 == V5, V5 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V17, V17 == V20, V20 == V22, V4 == V6, V6 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V18, V18 == V19, V19 == V21, V21 == V23; #1366 ), references = 1, size of lhs = 7:
% 57.36/57.59 aNaturalNumber0-{F}(V0), aNaturalNumber0-{F}(V1), P_sz00-{F}(V1), doDivides0-{F}(V1,V2), V2 == V1, aNaturalNumber0-{F}(V2), P_sz10-{F}(V3) | P_sdtpldt0-{T}(V2,V0,V1), P_sdtpldt0-{T}(V2,V0,V2)
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #1428: mergings( V0 == V2, V2 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V19, V1 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V17, V17 == V18, V18 == V20, V20 == V21, V21 == V22; #1405 ), references = 2, size of lhs = 7:
% 57.36/57.59 aNaturalNumber0-{F}(V0), P_sz00-{F}(V0), doDivides0-{F}(V0,V1), V1 == V0, aNaturalNumber0-{F}(V1), P_sz10-{F}(V2), aNaturalNumber0-{F}(V3) | P_sdtpldt0-{T}(V1,V3,V1)
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #1448: mergings( V0 == V2, V2 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V19, V1 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V17, V17 == V18, V18 == V20, V20 == V21, V21 == V22; #1406 ), references = 1, size of lhs = 8:
% 57.36/57.59 aNaturalNumber0-{F}(V0), P_sz00-{F}(V0), doDivides0-{F}(V0,V1), V1 == V0, aNaturalNumber0-{F}(V1), P_sz10-{F}(V2), aNaturalNumber0-{F}(V3), V3 == V0 | P_sdtpldt0-{T}(V1,V3,V1)
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #1468: mergings( V0 == V2, V2 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V19, V1 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V17, V17 == V18, V18 == V20, V20 == V21, V21 == V22; #1407 ), references = 1, size of lhs = 8:
% 57.36/57.59 aNaturalNumber0-{F}(V0), P_sz00-{F}(V0), doDivides0-{F}(V0,V1), V1 == V0, aNaturalNumber0-{F}(V1), P_sz10-{F}(V2), aNaturalNumber0-{F}(V3), V3 == V0 | P_sdtpldt0-{T}(V1,V3,V1)
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #1519: mergings( V1 == V5, V5 == V7, V7 == V10, V10 == V12, V12 == V14, V14 == V17, V17 == V19, V19 == V21, V21 == V23, V23 == V25, V25 == V30, V30 == V32, V2 == V6, V6 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V24, V24 == V26, V26 == V27, V27 == V28, V28 == V29, V29 == V31, V31 == V33, V3 == V32, V4 == V8; #1486 ), references = 4, size of lhs = 5:
% 57.36/57.59 P_xl-{F}(V0), aNaturalNumber0-{F}(V0), P_sz00-{F}(V0), P_xm-{F}(V1), P_sz10-{F}(V2) | P_xn-{T}(V0)
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #1543: exists( #73, #68 ), references = 1, size of lhs = 9:
% 57.36/57.59 P_sz00-{F}(V0), P_xl-{F}(V0), P_sz10-{F}(V1), P_xm-{F}(V2), P_xn-{F}(V3), P_sdtpldt0-{F}(V2,V3,V4), P_sdtsldt0-{F}(V2,V0,V5), P_sdtsldt0-{F}(V3,V0,V6), P_sdtpldt0-{F}(V5,V6,V7) | FALSE
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #1545: exists( #72, #1542 ), references = 1, size of lhs = 8:
% 57.36/57.59 P_sz00-{F}(V0), P_xl-{F}(V0), P_sz10-{F}(V1), P_xm-{F}(V2), P_xn-{F}(V3), P_sdtpldt0-{F}(V2,V3,V4), P_sdtsldt0-{F}(V2,V0,V5), P_sdtsldt0-{F}(V3,V0,V6) | FALSE
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #1547: exists( #75, #1544 ), references = 3, size of lhs = 6:
% 57.36/57.59 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
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #1596: mergings( V1 == V3, V3 == V6, V6 == V8, V8 == V10, V10 == V13, V2 == V4, V4 == V7, V7 == V9, V9 == V11, V11 == V12, V12 == V14, V5 == V13; #1581 ), references = 1, size of lhs = 4:
% 57.36/57.59 P_xl-{F}(V0), aNaturalNumber0-{F}(V0), P_sz00-{F}(V0), P_sz10-{F}(V1) | P_xm-{T}(V0)
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #1617: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11; #1606 ), references = 1, size of lhs = 2:
% 57.36/57.59 aNaturalNumber0-{F}(V0), P_sz00-{F}(V0) | FALSE
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 #1620: exists( #70, #1618 ), references = 1, size of lhs = 0:
% 57.36/57.59 FALSE | FALSE
% 57.36/57.59 (used 0 times, uses = {})
% 57.36/57.59
% 57.36/57.59 number of learnt formulas = 67
% 57.36/57.59
% 57.36/57.59
% 57.36/57.59 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 57.36/57.59
% 57.36/57.59 randbase = 1
%------------------------------------------------------------------------------