TSTP Solution File: NUM477+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : NUM477+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n020.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 06:12:34 EDT 2022
% Result : Theorem 7.16s 7.34s
% Output : Refutation 7.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM477+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n020.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 23:16:54 EDT 2022
% 0.12/0.33 % CPUTime :
% 7.16/7.34 GeoParameters:
% 7.16/7.34
% 7.16/7.34 tptp_input = 1
% 7.16/7.34 tptp_output = 0
% 7.16/7.34 nonempty = 1
% 7.16/7.34 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.16/7.34 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 7.16/7.34
% 7.16/7.34
% 7.16/7.34 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.16/7.34 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.16/7.34
% 7.16/7.34 RuleSystem INPUT:
% 7.16/7.34
% 7.16/7.34 Initial Rules:
% 7.16/7.34 #0: input, references = 4, size of lhs = 1:
% 7.16/7.34 P_sz00-{F}(V0) | aNaturalNumber0-{T}(V0)
% 7.16/7.34 (used 0 times, uses = {})
% 7.16/7.34
% 7.16/7.34 #1: input, references = 3, size of lhs = 2:
% 7.16/7.34 P_sz00-{F}(V0), P_sz10-{F}(V1) | aNaturalNumber0-{T}(V1)
% 7.16/7.34 (used 0 times, uses = {})
% 7.16/7.34
% 7.16/7.34 #2: input, references = 3, size of lhs = 2:
% 7.16/7.34 P_sz00-{F}(V0), P_sz10-{F}(V0) | FALSE
% 7.16/7.34 (used 0 times, uses = {})
% 7.16/7.34
% 7.16/7.34 #3: input, references = 3, size of lhs = 5:
% 7.16/7.34 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V3,V2,V4), aNaturalNumber0-{F}(V3) | aNaturalNumber0-{T}(V4)
% 7.16/7.34 (used 0 times, uses = {})
% 7.16/7.34
% 7.16/7.34 #4: input, references = 3, size of lhs = 5:
% 7.16/7.34 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtasdt0-{F}(V3,V2,V4), aNaturalNumber0-{F}(V3) | aNaturalNumber0-{T}(V4)
% 7.16/7.34 (used 0 times, uses = {})
% 7.16/7.34
% 7.16/7.34 #5: input, references = 4, size of lhs = 7:
% 7.16/7.34 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
% 7.16/7.34 (used 0 times, uses = {})
% 7.16/7.34
% 7.16/7.34 #6: input, references = 3, size of lhs = 10:
% 7.16/7.34 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
% 7.16/7.34 (used 0 times, uses = {})
% 7.16/7.34
% 7.16/7.34 #7: input, references = 5, size of lhs = 6:
% 7.16/7.34 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
% 7.16/7.34 (used 0 times, uses = {})
% 7.16/7.34
% 7.16/7.34 #8: input, references = 4, size of lhs = 6:
% 7.16/7.34 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
% 7.16/7.34 (used 0 times, uses = {})
% 7.16/7.34
% 7.16/7.34 #9: input, references = 4, size of lhs = 7:
% 7.16/7.34 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
% 7.16/7.34 (used 0 times, uses = {})
% 7.16/7.34
% 7.16/7.34 #10: input, references = 3, size of lhs = 10:
% 7.16/7.34 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
% 7.16/7.34 (used 0 times, uses = {})
% 7.16/7.34
% 7.16/7.34 #11: input, references = 4, size of lhs = 6:
% 7.16/7.34 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
% 7.16/7.34 (used 0 times, uses = {})
% 7.16/7.34
% 7.16/7.34 #12: input, references = 3, size of lhs = 6:
% 7.16/7.34 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
% 7.16/7.34 (used 0 times, uses = {})
% 7.16/7.34
% 7.16/7.34 #13: input, references = 5, size of lhs = 6:
% 7.16/7.34 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
% 7.16/7.34 (used 0 times, uses = {})
% 7.16/7.34
% 7.16/7.34 #14: input, references = 4, size of lhs = 6:
% 7.16/7.34 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
% 7.16/7.34 (used 0 times, uses = {})
% 7.16/7.34
% 7.16/7.34 #15: input, references = 3, size of lhs = 15:
% 7.16/7.34 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
% 7.16/7.34 (used 0 times, uses = {})
% 7.16/7.34
% 7.16/7.34 #16: input, references = 3, size of lhs = 15:
% 7.16/7.34 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
% 7.16/7.34 (used 0 times, uses = {})
% 7.16/7.34
% 7.16/7.34 #17: input, references = 3, size of lhs = 10:
% 7.16/7.34 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
% 7.16/7.34 (used 0 times, uses = {})
% 7.16/7.34
% 7.16/7.34 #18: input, references = 3, size of lhs = 10:
% 7.16/7.34 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
% 7.16/7.34 (used 0 times, uses = {})
% 7.16/7.34
% 7.16/7.34 #19: input, references = 3, size of lhs = 11:
% 7.16/7.34 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
% 7.16/7.34 (used 0 times, uses = {})
% 7.16/7.34
% 7.16/7.34 #20: input, references = 3, size of lhs = 11:
% 7.16/7.34 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
% 7.16/7.34 (used 0 times, uses = {})
% 7.16/7.34
% 7.16/7.34 #21: input, references = 3, size of lhs = 6:
% 7.16/7.34 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V3,V2,V0), aNaturalNumber0-{F}(V3), V3 == V0 | FALSE
% 7.16/7.34 (used 0 times, uses = {})
% 7.16/7.34
% 7.16/7.34 #22: input, references = 3, size of lhs = 6:
% 7.16/7.34 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V3,V2,V0), aNaturalNumber0-{F}(V3), V2 == V0 | FALSE
% 7.16/7.34 (used 0 times, uses = {})
% 7.16/7.34
% 7.16/7.34 #23: input, references = 3, size of lhs = 7:
% 7.16/7.34 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
% 7.16/7.34 (used 0 times, uses = {})
% 7.16/7.34
% 7.16/7.34 #24: input, references = 3, size of lhs = 5:
% 7.16/7.34 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), sdtlseqdt0-{F}(V3,V2) | pppp0-{T}(V3,V2)
% 7.16/7.34 (used 0 times, uses = {})
% 7.16/7.34
% 7.16/7.34 #25: input, references = 4, size of lhs = 5:
% 7.16/7.34 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), pppp0-{F}(V3,V2) | sdtlseqdt0-{T}(V3,V2)
% 7.16/7.34 (used 0 times, uses = {})
% 7.16/7.34
% 7.16/7.34 #26: input, references = 3, size of lhs = 3:
% 7.16/7.34 P_sz00-{F}(V0), P_sz10-{F}(V1), pppp0-{F}(V2,V3) | EXISTS V4: pppp4-{T}(V2,V3,V4)
% 7.16/7.34 (used 0 times, uses = {})
% 7.16/7.34
% 7.16/7.34 #27: input, references = 4, size of lhs = 4:
% 7.16/7.34 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtpldt0-{F}(V2,V4,V3), aNaturalNumber0-{F}(V4) | pppp0-{T}(V2,V3)
% 7.16/7.34 (used 0 times, uses = {})
% 7.16/7.34
% 7.16/7.34 #28: input, references = 3, size of lhs = 3:
% 7.16/7.34 pppp4-{F}(V0,V1,V2), P_sdtpldt0-{F}(V0,V2,V3), V3 == V1 | FALSE
% 7.16/7.34 (used 0 times, uses = {})
% 7.16/7.34
% 7.16/7.34 #29: input, references = 3, size of lhs = 2:
% 7.16/7.34 pppp4-{F}(V0,V1,V2), P_sdtpldt0-{F}(V0,V2,V3) | aNaturalNumber0-{T}(V2)
% 7.16/7.34 (used 0 times, uses = {})
% 7.16/7.34
% 7.16/7.34 #30: input, references = 3, size of lhs = 6:
% 7.16/7.34 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)
% 7.16/7.34 (used 0 times, uses = {})
% 7.16/7.34
% 7.16/7.34 #31: input, references = 4, size of lhs = 8:
% 7.16/7.34 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
% 7.16/7.34 (used 0 times, uses = {})
% 7.16/7.34
% 7.16/7.34 #32: input, references = 3, size of lhs = 4:
% 7.16/7.34 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtpldt0-{F}(V2,V4,V5), pppp1-{F}(V2,V3,V4) | aNaturalNumber0-{T}(V4)
% 7.16/7.34 (used 0 times, uses = {})
% 7.16/7.34
% 7.16/7.34 #33: input, references = 3, size of lhs = 5:
% 7.16/7.34 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtpldt0-{F}(V2,V4,V5), pppp1-{F}(V2,V3,V4), V5 == V3 | FALSE
% 7.16/7.34 (used 0 times, uses = {})
% 7.16/7.34
% 7.16/7.34 #34: input, references = 3, size of lhs = 4:
% 7.16/7.34 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtpldt0-{F}(V2,V4,V3), aNaturalNumber0-{F}(V4) | pppp1-{T}(V2,V3,V4)
% 7.16/7.34 (used 0 times, uses = {})
% 7.16/7.34
% 7.16/7.34 #35: input, references = 3, size of lhs = 3:
% 7.16/7.34 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2) | sdtlseqdt0-{T}(V2,V2)
% 7.16/7.34 (used 0 times, uses = {})
% 7.16/7.34
% 7.16/7.34 #36: input, references = 4, size of lhs = 7:
% 7.16/7.34 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
% 7.16/7.34 (used 0 times, uses = {})
% 7.16/7.34
% 7.16/7.34 #37: input, references = 3, size of lhs = 7:
% 7.16/7.34 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)
% 7.16/7.34 (used 0 times, uses = {})
% 7.16/7.34
% 7.16/7.34 #38: input, references = 3, size of lhs = 3:
% 7.16/7.34 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V3) | sdtlseqdt0-{T}(V3,V3)
% 7.16/7.34 (used 0 times, uses = {})
% 7.16/7.34
% 7.16/7.34 #39: input, references = 3, size of lhs = 4:
% 7.16/7.34 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3) | sdtlseqdt0-{T}(V3,V2), sdtlseqdt0-{T}(V2,V3)
% 7.16/7.34 (used 0 times, uses = {})
% 7.16/7.34
% 7.16/7.34 #40: input, references = 3, size of lhs = 11:
% 7.16/7.34 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
% 7.16/7.34 (used 0 times, uses = {})
% 7.16/7.34
% 7.16/7.34 #41: input, references = 3, size of lhs = 11:
% 7.16/7.34 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)
% 7.16/7.34 (used 0 times, uses = {})
% 7.16/7.34
% 7.16/7.34 #42: input, references = 3, size of lhs = 11:
% 7.16/7.34 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
% 7.16/7.34 (used 0 times, uses = {})
% 7.16/7.34
% 7.16/7.34 #43: input, references = 3, size of lhs = 11:
% 7.16/7.34 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)
% 7.16/7.34 (used 0 times, uses = {})
% 7.16/7.34
% 7.16/7.34 #44: input, references = 3, size of lhs = 12:
% 7.16/7.34 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
% 7.16/7.34 (used 0 times, uses = {})
% 7.16/7.34
% 7.16/7.34 #45: input, references = 3, size of lhs = 12:
% 7.16/7.34 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)
% 7.16/7.34 (used 0 times, uses = {})
% 7.16/7.34
% 7.16/7.34 #46: input, references = 3, size of lhs = 12:
% 7.16/7.34 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
% 7.16/7.34 (used 0 times, uses = {})
% 7.16/7.34
% 7.16/7.34 #47: input, references = 3, size of lhs = 12:
% 7.16/7.34 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)
% 7.16/7.34 (used 0 times, uses = {})
% 7.16/7.34
% 7.16/7.34 #48: input, references = 4, size of lhs = 5:
% 7.16/7.34 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), V2 == V0, V2 == V1 | sdtlseqdt0-{T}(V1,V2)
% 7.16/7.34 (used 0 times, uses = {})
% 7.16/7.34
% 7.16/7.34 #49: input, references = 5, size of lhs = 6:
% 7.16/7.34 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)
% 7.16/7.34 (used 0 times, uses = {})
% 7.16/7.34
% 7.16/7.34 #50: input, references = 3, size of lhs = 6:
% 7.16/7.34 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), sdtlseqdt0-{F}(V3,V2), V3 == V2 | iLess0-{T}(V3,V2)
% 7.16/7.34 (used 0 times, uses = {})
% 7.16/7.34
% 7.16/7.34 #51: input, references = 3, size of lhs = 5:
% 7.16/7.34 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), doDivides0-{F}(V3,V2) | pppp2-{T}(V3,V2)
% 7.16/7.34 (used 0 times, uses = {})
% 7.16/7.34
% 7.16/7.34 #52: input, references = 3, size of lhs = 5:
% 7.16/7.34 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), pppp2-{F}(V3,V2) | doDivides0-{T}(V3,V2)
% 7.16/7.34 (used 0 times, uses = {})
% 7.16/7.34
% 7.16/7.34 #53: input, references = 3, size of lhs = 3:
% 7.16/7.34 P_sz00-{F}(V0), P_sz10-{F}(V1), pppp2-{F}(V2,V3) | EXISTS V4: pppp5-{T}(V2,V3,V4)
% 7.16/7.34 (used 0 times, uses = {})
% 7.16/7.34
% 7.16/7.34 #54: input, references = 3, size of lhs = 4:
% 7.16/7.34 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtasdt0-{F}(V2,V4,V5), aNaturalNumber0-{F}(V4) | pppp2-{T}(V2,V5)
% 7.16/7.34 (used 0 times, uses = {})
% 7.16/7.34
% 7.16/7.34 #55: input, references = 3, size of lhs = 3:
% 7.16/7.34 pppp5-{F}(V0,V1,V2), P_sdtasdt0-{F}(V0,V2,V3), V1 == V3 | FALSE
% 7.16/7.34 (used 0 times, uses = {})
% 7.16/7.34
% 7.16/7.34 #56: input, references = 3, size of lhs = 2:
% 7.16/7.34 pppp5-{F}(V0,V1,V2), P_sdtasdt0-{F}(V0,V2,V3) | aNaturalNumber0-{T}(V2)
% 7.16/7.34 (used 0 times, uses = {})
% 7.16/7.34
% 7.16/7.34 #57: input, references = 6, size of lhs = 7:
% 7.16/7.34 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)
% 7.16/7.34 (used 0 times, uses = {})
% 7.16/7.34
% 7.16/7.34 #58: input, references = 4, size of lhs = 9:
% 7.16/7.34 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
% 7.16/7.34 (used 0 times, uses = {})
% 7.16/7.34
% 7.16/7.34 #59: input, references = 5, size of lhs = 4:
% 7.16/7.34 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtasdt0-{F}(V2,V4,V5), pppp3-{F}(V2,V3,V4) | aNaturalNumber0-{T}(V4)
% 7.16/7.34 (used 0 times, uses = {})
% 7.16/7.34
% 7.16/7.34 #60: input, references = 5, size of lhs = 5:
% 7.16/7.34 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtasdt0-{F}(V2,V4,V5), pppp3-{F}(V2,V3,V4), V3 == V5 | FALSE
% 7.16/7.34 (used 0 times, uses = {})
% 7.16/7.34
% 7.16/7.34 #61: input, references = 3, size of lhs = 4:
% 7.16/7.34 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtasdt0-{F}(V2,V4,V5), aNaturalNumber0-{F}(V4) | pppp3-{T}(V2,V5,V4)
% 7.16/7.34 (used 0 times, uses = {})
% 7.16/7.34
% 7.16/7.34 #62: input, references = 3, size of lhs = 7:
% 7.16/7.34 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)
% 7.16/7.34 (used 0 times, uses = {})
% 7.16/7.34
% 7.16/7.34 #63: input, references = 3, size of lhs = 8:
% 7.16/7.34 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)
% 7.16/7.34 (used 0 times, uses = {})
% 7.16/7.34
% 7.16/7.34 #64: input, references = 3, size of lhs = 8:
% 7.16/7.34 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)
% 7.16/7.34 (used 0 times, uses = {})
% 7.16/7.34
% 7.16/7.34 #65: input, references = 4, size of lhs = 4:
% 7.16/7.34 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xm-{F}(V2), P_xn-{F}(V3) | aNaturalNumber0-{T}(V2)
% 7.16/7.34 (used 0 times, uses = {})
% 7.16/7.34
% 7.16/7.34 #66: input, references = 6, size of lhs = 4:
% 7.16/7.34 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xm-{F}(V2), P_xn-{F}(V3) | aNaturalNumber0-{T}(V3)
% 7.16/7.34 (used 0 times, uses = {})
% 7.16/7.34
% 7.16/7.34 #67: input, references = 4, size of lhs = 4:
% 7.16/7.34 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xm-{F}(V2), P_xn-{F}(V3) | doDivides0-{T}(V2,V3)
% 7.16/7.34 (used 0 times, uses = {})
% 7.16/7.34
% 7.16/7.34 #68: input, references = 4, size of lhs = 4:
% 7.16/7.34 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xm-{F}(V2), P_xn-{F}(V0) | FALSE
% 7.16/7.34 (used 0 times, uses = {})
% 7.16/7.34
% 7.16/7.34 #69: input, references = 6, size of lhs = 5:
% 7.16/7.34 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xm-{F}(V2), P_xn-{F}(V3), sdtlseqdt0-{F}(V2,V3) | FALSE
% 7.16/7.34 (used 0 times, uses = {})
% 7.16/7.34
% 7.16/7.34 #70: input, references = 4, size of lhs = 0:
% 7.16/7.34 FALSE | EXISTS V0: P_sz00-{T}(V0)
% 7.16/7.34 (used 0 times, uses = {})
% 7.16/7.34
% 7.16/7.34 #71: input, references = 4, size of lhs = 0:
% 7.16/7.34 FALSE | EXISTS V0: P_sz10-{T}(V0)
% 7.16/7.34 (used 0 times, uses = {})
% 7.16/7.34
% 7.16/7.34 #72: input, references = 7, size of lhs = 2:
% 7.16/7.34 #-{F} V0, #-{F} V1 | EXISTS V2: P_sdtpldt0-{T}(V0,V1,V2)
% 7.16/7.34 (used 0 times, uses = {})
% 7.16/7.34
% 7.16/7.34 #73: input, references = 8, size of lhs = 2:
% 7.16/7.34 #-{F} V0, #-{F} V1 | EXISTS V2: P_sdtasdt0-{T}(V0,V1,V2)
% 7.16/7.34 (used 0 times, uses = {})
% 7.16/7.34
% 7.16/7.34 #74: input, references = 4, size of lhs = 2:
% 7.16/7.34 #-{F} V0, #-{F} V1 | EXISTS V2: P_sdtmndt0-{T}(V0,V1,V2)
% 7.16/7.34 (used 0 times, uses = {})
% 7.16/7.34
% 7.16/7.34 #75: input, references = 5, size of lhs = 2:
% 7.16/7.34 #-{F} V0, #-{F} V1 | EXISTS V2: P_sdtsldt0-{T}(V0,V1,V2)
% 7.16/7.34 (used 0 times, uses = {})
% 7.16/7.34
% 7.16/7.34 #76: input, references = 4, size of lhs = 0:
% 7.16/7.34 FALSE | EXISTS V0: P_xm-{T}(V0)
% 7.16/7.34 (used 0 times, uses = {})
% 7.16/7.34
% 7.16/7.34 #77: input, references = 6, size of lhs = 0:
% 7.16/7.34 FALSE | EXISTS V0: P_xn-{T}(V0)
% 7.16/7.34 (used 0 times, uses = {})
% 7.16/7.34
% 7.16/7.34 number of initial rules = 78
% 7.16/7.34
% 7.16/7.34 Simplifiers:
% 7.16/7.34 #78: unsound, references = 3, size of lhs = 3:
% 7.16/7.34 P_sz00-{F}(V0), P_sz00-{F}(V1), V0 == V1 | FALSE
% 7.16/7.34 (used 0 times, uses = {})
% 7.16/7.34
% 7.16/7.34 #79: unsound, references = 3, size of lhs = 3:
% 7.16/7.34 P_sz10-{F}(V0), P_sz10-{F}(V1), V0 == V1 | FALSE
% 7.16/7.34 (used 0 times, uses = {})
% 7.16/7.34
% 7.16/7.34 #80: unsound, references = 3, size of lhs = 3:
% 7.16/7.34 P_sdtpldt0-{F}(V0,V1,V2), P_sdtpldt0-{F}(V0,V1,V5), V2 == V5 | FALSE
% 7.16/7.34 (used 0 times, uses = {})
% 7.16/7.34
% 7.16/7.34 #81: unsound, references = 3, size of lhs = 3:
% 7.16/7.34 P_sdtasdt0-{F}(V0,V1,V2), P_sdtasdt0-{F}(V0,V1,V5), V2 == V5 | FALSE
% 7.16/7.34 (used 0 times, uses = {})
% 7.16/7.34
% 7.16/7.34 #82: unsound, references = 3, size of lhs = 3:
% 7.16/7.34 P_sdtmndt0-{F}(V0,V1,V2), P_sdtmndt0-{F}(V0,V1,V5), V2 == V5 | FALSE
% 7.16/7.34 (used 0 times, uses = {})
% 7.16/7.34
% 7.16/7.34 #83: unsound, references = 3, size of lhs = 3:
% 7.16/7.34 P_sdtsldt0-{F}(V0,V1,V2), P_sdtsldt0-{F}(V0,V1,V5), V2 == V5 | FALSE
% 7.16/7.34 (used 0 times, uses = {})
% 7.16/7.34
% 7.16/7.34 #84: unsound, references = 3, size of lhs = 3:
% 7.16/7.34 P_xm-{F}(V0), P_xm-{F}(V1), V0 == V1 | FALSE
% 7.16/7.34 (used 0 times, uses = {})
% 7.16/7.34
% 7.16/7.34 #85: unsound, references = 3, size of lhs = 3:
% 7.16/7.34 P_xn-{F}(V0), P_xn-{F}(V1), V0 == V1 | FALSE
% 7.16/7.34 (used 0 times, uses = {})
% 7.16/7.34
% 7.16/7.34 #86: unsound, references = 3, size of lhs = 3:
% 7.16/7.34 pppp4-{F}(V0,V1,V2), pppp4-{F}(V0,V1,V5), V2 == V5 | FALSE
% 7.16/7.34 (used 0 times, uses = {})
% 7.16/7.34
% 7.16/7.34 #87: unsound, references = 3, size of lhs = 3:
% 7.16/7.34 pppp5-{F}(V0,V1,V2), pppp5-{F}(V0,V1,V5), V2 == V5 | FALSE
% 7.16/7.34 (used 0 times, uses = {})
% 7.16/7.34
% 7.16/7.34 number of simplifiers = 10
% 7.16/7.34
% 7.16/7.34 Learnt:
% 7.16/7.34 #96: mergings( V1 == V4, V4 == V6, V2 == V5, V5 == V7, V3 == V7; #90 ), references = 1, size of lhs = 3:
% 7.16/7.34 P_xm-{F}(V0), P_sz10-{F}(V0), P_sz00-{F}(V1) | P_xn-{T}(V1), P_xn-{T}(V0)
% 7.16/7.34 (used 0 times, uses = {})
% 7.16/7.34
% 7.16/7.34 #106: mergings( V0 == V3, V3 == V5, V5 == V7, V1 == V4, V4 == V6, V6 == V8, V2 == V8, V8 == V9; #97 ), references = 1, size of lhs = 4:
% 7.16/7.34 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xm-{F}(V1), sdtlseqdt0-{F}(V1,V1) | P_xn-{T}(V0)
% 7.16/7.34 (used 0 times, uses = {})
% 7.16/7.34
% 7.16/7.34 #109: exists( #74, #31 ), references = 1, size of lhs = 6:
% 7.16/7.34 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)
% 7.16/7.34 (used 0 times, uses = {})
% 7.16/7.34
% 7.16/7.34 #111: exists( #75, #58 ), references = 1, size of lhs = 7:
% 7.16/7.34 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)
% 7.16/7.34 (used 0 times, uses = {})
% 7.16/7.34
% 7.16/7.34 #115: exists( #72, #7 ), references = 1, size of lhs = 3:
% 7.16/7.34 P_sz00-{F}(V0), aNaturalNumber0-{F}(V0), P_sz10-{F}(V1) | P_sdtpldt0-{T}(V0,V0,V0)
% 7.16/7.34 (used 0 times, uses = {})
% 7.16/7.34
% 7.16/7.34 #121: exists( #72, #8 ), references = 1, size of lhs = 5:
% 7.16/7.34 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V0,V2,V3), V2 == V3 | FALSE
% 7.16/7.34 (used 0 times, uses = {})
% 7.16/7.34
% 7.16/7.34 #123: mergings( V0 == V4; #119 ), references = 1, size of lhs = 4:
% 7.16/7.34 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V0,V2,V2) | P_sdtpldt0-{T}(V2,V0,V2)
% 7.16/7.34 (used 0 times, uses = {})
% 7.16/7.34
% 7.16/7.34 #125: exists( #72, #120 ), references = 2, size of lhs = 3:
% 7.16/7.34 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2) | P_sdtpldt0-{T}(V0,V2,V2)
% 7.16/7.34 (used 0 times, uses = {})
% 7.16/7.34
% 7.16/7.34 #140: mergings( V1 == V4, V4 == V6, V6 == V8, V8 == V10, V2 == V5, V5 == V7, V7 == V9, V9 == V11, V3 == V10; #130 ), references = 2, size of lhs = 4:
% 7.16/7.34 aNaturalNumber0-{F}(V0), P_xm-{F}(V0), P_sz00-{F}(V0), P_sz10-{F}(V1) | FALSE
% 7.16/7.34 (used 0 times, uses = {})
% 7.16/7.34
% 7.16/7.34 #146: exists( #73, #13 ), references = 1, size of lhs = 3:
% 7.16/7.34 P_sz00-{F}(V0), aNaturalNumber0-{F}(V0), P_sz10-{F}(V1) | P_sdtasdt0-{T}(V0,V0,V0)
% 7.16/7.34 (used 0 times, uses = {})
% 7.16/7.34
% 7.16/7.34 #152: exists( #73, #14 ), references = 1, size of lhs = 4:
% 7.16/7.34 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtasdt0-{F}(V2,V0,V3) | P_sdtasdt0-{T}(V0,V2,V0)
% 7.16/7.34 (used 0 times, uses = {})
% 7.16/7.34
% 7.16/7.34 #153: exists( #73, #9 ), references = 4, size of lhs = 5:
% 7.16/7.34 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)
% 7.16/7.34 (used 0 times, uses = {})
% 7.16/7.34
% 7.16/7.34 #156: exists( #72, #5 ), references = 1, size of lhs = 5:
% 7.16/7.34 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)
% 7.16/7.34 (used 0 times, uses = {})
% 7.16/7.34
% 7.16/7.34 #166: mergings( V3 == V5, V4 == V1; #162 ), references = 1, size of lhs = 4:
% 7.16/7.34 aNaturalNumber0-{F}(V0), P_sz10-{F}(V0), P_sz00-{F}(V1), aNaturalNumber0-{F}(V2) | P_sdtasdt0-{T}(V2,V0,V2)
% 7.16/7.34 (used 0 times, uses = {})
% 7.16/7.34
% 7.16/7.34 #194: mergings( V3 == V0, V4 == V5; #189 ), references = 2, size of lhs = 4:
% 7.16/7.34 aNaturalNumber0-{F}(V0), P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2) | P_sdtasdt0-{T}(V0,V2,V0)
% 7.16/7.34 (used 0 times, uses = {})
% 7.16/7.34
% 7.16/7.34 #218: exists( #73, #60 ), references = 3, size of lhs = 3:
% 7.16/7.34 P_sz00-{F}(V0), P_sz10-{F}(V1), pppp3-{F}(V2,V3,V4) | P_sdtasdt0-{T}(V2,V4,V3)
% 7.16/7.34 (used 0 times, uses = {})
% 7.16/7.34
% 7.16/7.34 #244: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V4 == V6, V6 == V8, V8 == V10, V10 == V12; #234 ), references = 2, size of lhs = 8:
% 7.16/7.34 aNaturalNumber0-{F}(V0), P_xn-{F}(V0), aNaturalNumber0-{F}(V1), doDivides0-{F}(V1,V0), P_xm-{F}(V1), P_sz00-{F}(V2), V1 == V2, P_sz10-{F}(V3) | P_sdtsldt0-{T}(V0,V1,V2)
% 7.16/7.34 (used 0 times, uses = {})
% 7.16/7.34
% 7.16/7.34 #253: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V4 == V6, V6 == V8, V8 == V10, V10 == V12; #235 ), references = 1, size of lhs = 8:
% 7.16/7.34 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), V2 == V0, doDivides0-{F}(V2,V3), V3 == V2, aNaturalNumber0-{F}(V3), sdtlseqdt0-{F}(V3,V2) | P_sdtsldt0-{T}(V3,V2,V0)
% 7.16/7.34 (used 0 times, uses = {})
% 7.16/7.34
% 7.16/7.34 #282: mergings( V1 == V3, V3 == V6, V6 == V9, V9 == V11, V11 == V14, V14 == V16, V2 == V4, V4 == V7, V7 == V8, V8 == V10, V10 == V13, V13 == V15, V15 == V17, V5 == V12; #267 ), references = 1, size of lhs = 5:
% 7.16/7.34 aNaturalNumber0-{F}(V0), P_sz00-{F}(V0), P_xm-{F}(V1), V1 == V0, P_sz10-{F}(V2) | P_xn-{T}(V0)
% 7.16/7.34 (used 0 times, uses = {})
% 7.16/7.34
% 7.16/7.34 #299: mergings( V1 == V3, V3 == V5, V5 == V8, V8 == V10, V10 == V12, V12 == V14, V2 == V4, V4 == V6, V6 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V16; #284 ), references = 1, size of lhs = 3:
% 7.16/7.34 aNaturalNumber0-{F}(V0), P_sz00-{F}(V0), P_sz10-{F}(V1) | P_xm-{T}(V0)
% 7.16/7.34 (used 0 times, uses = {})
% 7.16/7.34
% 7.16/7.34 #315: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7; #308 ), references = 1, size of lhs = 2:
% 7.16/7.34 aNaturalNumber0-{F}(V0), P_sz00-{F}(V0) | FALSE
% 7.16/7.34 (used 0 times, uses = {})
% 7.16/7.34
% 7.16/7.34 #318: exists( #70, #316 ), references = 1, size of lhs = 0:
% 7.16/7.34 FALSE | FALSE
% 7.16/7.34 (used 0 times, uses = {})
% 7.16/7.34
% 7.16/7.34 number of learnt formulas = 22
% 7.16/7.34
% 7.16/7.34
% 7.16/7.34 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.16/7.34
% 7.16/7.34 randbase = 1
%------------------------------------------------------------------------------