TSTP Solution File: NUM484+3 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : NUM484+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n014.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 06:12:36 EDT 2022
% Result : Theorem 0.19s 0.39s
% Output : Refutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : NUM484+3 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.34 % Computer : n014.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Jul 22 23:05:57 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.39 GeoParameters:
% 0.19/0.39
% 0.19/0.39 tptp_input = 1
% 0.19/0.39 tptp_output = 0
% 0.19/0.39 nonempty = 1
% 0.19/0.39 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.39 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.19/0.39
% 0.19/0.39
% 0.19/0.39 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.39 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.39
% 0.19/0.39 RuleSystem INPUT:
% 0.19/0.39
% 0.19/0.39 Initial Rules:
% 0.19/0.39 #0: input, references = 3, size of lhs = 1:
% 0.19/0.39 P_sz00-{F}(V0) | aNaturalNumber0-{T}(V0)
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #1: input, references = 3, size of lhs = 2:
% 0.19/0.39 P_sz00-{F}(V0), P_sz10-{F}(V1) | aNaturalNumber0-{T}(V1)
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #2: input, references = 3, size of lhs = 2:
% 0.19/0.39 P_sz00-{F}(V0), P_sz10-{F}(V0) | FALSE
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #3: input, references = 3, size of lhs = 5:
% 0.19/0.39 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V3,V2,V4), aNaturalNumber0-{F}(V3) | aNaturalNumber0-{T}(V4)
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #4: input, references = 3, size of lhs = 5:
% 0.19/0.39 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtasdt0-{F}(V3,V2,V4), aNaturalNumber0-{F}(V3) | aNaturalNumber0-{T}(V4)
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #5: input, references = 3, size of lhs = 7:
% 0.19/0.39 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
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #6: input, references = 3, size of lhs = 10:
% 0.19/0.39 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
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #7: input, references = 3, size of lhs = 6:
% 0.19/0.39 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
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #8: input, references = 3, size of lhs = 6:
% 0.19/0.39 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
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #9: input, references = 3, size of lhs = 7:
% 0.19/0.39 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
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #10: input, references = 3, size of lhs = 10:
% 0.19/0.39 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
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #11: input, references = 3, size of lhs = 6:
% 0.19/0.39 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
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #12: input, references = 3, size of lhs = 6:
% 0.19/0.39 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
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #13: input, references = 3, size of lhs = 6:
% 0.19/0.39 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
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #14: input, references = 3, size of lhs = 6:
% 0.19/0.39 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
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #15: input, references = 3, size of lhs = 15:
% 0.19/0.39 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
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #16: input, references = 3, size of lhs = 15:
% 0.19/0.39 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
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #17: input, references = 3, size of lhs = 10:
% 0.19/0.39 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
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #18: input, references = 3, size of lhs = 10:
% 0.19/0.39 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
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #19: input, references = 3, size of lhs = 11:
% 0.19/0.39 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
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #20: input, references = 3, size of lhs = 11:
% 0.19/0.39 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
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #21: input, references = 3, size of lhs = 6:
% 0.19/0.39 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V3,V2,V0), aNaturalNumber0-{F}(V3), V3 == V0 | FALSE
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #22: input, references = 3, size of lhs = 6:
% 0.19/0.39 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V3,V2,V0), aNaturalNumber0-{F}(V3), V2 == V0 | FALSE
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #23: input, references = 3, size of lhs = 7:
% 0.19/0.39 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
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #24: input, references = 3, size of lhs = 5:
% 0.19/0.39 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), sdtlseqdt0-{F}(V3,V2) | pppp0-{T}(V3,V2)
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #25: input, references = 3, size of lhs = 5:
% 0.19/0.39 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), pppp0-{F}(V3,V2) | sdtlseqdt0-{T}(V3,V2)
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #26: input, references = 3, size of lhs = 3:
% 0.19/0.39 P_sz00-{F}(V0), P_sz10-{F}(V1), pppp0-{F}(V2,V3) | EXISTS V4: pppp5-{T}(V2,V3,V4)
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #27: input, references = 3, size of lhs = 4:
% 0.19/0.39 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtpldt0-{F}(V2,V4,V3), aNaturalNumber0-{F}(V4) | pppp0-{T}(V2,V3)
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #28: input, references = 3, size of lhs = 3:
% 0.19/0.39 pppp5-{F}(V0,V1,V2), P_sdtpldt0-{F}(V0,V2,V3), V3 == V1 | FALSE
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #29: input, references = 3, size of lhs = 2:
% 0.19/0.39 pppp5-{F}(V0,V1,V2), P_sdtpldt0-{F}(V0,V2,V3) | aNaturalNumber0-{T}(V2)
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #30: input, references = 3, size of lhs = 6:
% 0.19/0.39 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)
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #31: input, references = 3, size of lhs = 8:
% 0.19/0.39 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
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #32: input, references = 3, size of lhs = 4:
% 0.19/0.39 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtpldt0-{F}(V2,V4,V5), pppp1-{F}(V2,V3,V4) | aNaturalNumber0-{T}(V4)
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #33: input, references = 3, size of lhs = 5:
% 0.19/0.39 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtpldt0-{F}(V2,V4,V5), pppp1-{F}(V2,V3,V4), V5 == V3 | FALSE
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #34: input, references = 3, size of lhs = 4:
% 0.19/0.39 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtpldt0-{F}(V2,V4,V3), aNaturalNumber0-{F}(V4) | pppp1-{T}(V2,V3,V4)
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #35: input, references = 3, size of lhs = 3:
% 0.19/0.39 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2) | sdtlseqdt0-{T}(V2,V2)
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #36: input, references = 3, size of lhs = 7:
% 0.19/0.39 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
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #37: input, references = 3, size of lhs = 7:
% 0.19/0.39 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)
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #38: input, references = 3, size of lhs = 3:
% 0.19/0.39 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V3) | sdtlseqdt0-{T}(V3,V3)
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #39: input, references = 3, size of lhs = 4:
% 0.19/0.39 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3) | sdtlseqdt0-{T}(V3,V2), sdtlseqdt0-{T}(V2,V3)
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #40: input, references = 3, size of lhs = 11:
% 0.19/0.39 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
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #41: input, references = 3, size of lhs = 11:
% 0.19/0.39 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)
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #42: input, references = 3, size of lhs = 11:
% 0.19/0.39 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
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #43: input, references = 3, size of lhs = 11:
% 0.19/0.39 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)
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #44: input, references = 3, size of lhs = 12:
% 0.19/0.39 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
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #45: input, references = 3, size of lhs = 12:
% 0.19/0.39 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)
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #46: input, references = 3, size of lhs = 12:
% 0.19/0.39 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
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #47: input, references = 3, size of lhs = 12:
% 0.19/0.39 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)
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #48: input, references = 3, size of lhs = 5:
% 0.19/0.39 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), V2 == V0, V2 == V1 | sdtlseqdt0-{T}(V1,V2)
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #49: input, references = 3, size of lhs = 6:
% 0.19/0.39 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)
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #50: input, references = 3, size of lhs = 6:
% 0.19/0.39 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), sdtlseqdt0-{F}(V3,V2), V3 == V2 | iLess0-{T}(V3,V2)
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #51: input, references = 3, size of lhs = 5:
% 0.19/0.39 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), doDivides0-{F}(V3,V2) | pppp2-{T}(V3,V2)
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #52: input, references = 3, size of lhs = 5:
% 0.19/0.39 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), pppp2-{F}(V3,V2) | doDivides0-{T}(V3,V2)
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #53: input, references = 3, size of lhs = 3:
% 0.19/0.39 P_sz00-{F}(V0), P_sz10-{F}(V1), pppp2-{F}(V2,V3) | EXISTS V4: pppp6-{T}(V2,V3,V4)
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #54: input, references = 3, size of lhs = 4:
% 0.19/0.39 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtasdt0-{F}(V2,V4,V5), aNaturalNumber0-{F}(V4) | pppp2-{T}(V2,V5)
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #55: input, references = 3, size of lhs = 3:
% 0.19/0.39 pppp6-{F}(V0,V1,V2), P_sdtasdt0-{F}(V0,V2,V3), V1 == V3 | FALSE
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #56: input, references = 3, size of lhs = 2:
% 0.19/0.39 pppp6-{F}(V0,V1,V2), P_sdtasdt0-{F}(V0,V2,V3) | aNaturalNumber0-{T}(V2)
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #57: input, references = 3, size of lhs = 7:
% 0.19/0.39 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)
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #58: input, references = 3, size of lhs = 9:
% 0.19/0.39 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
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #59: input, references = 3, size of lhs = 4:
% 0.19/0.39 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtasdt0-{F}(V2,V4,V5), pppp3-{F}(V2,V3,V4) | aNaturalNumber0-{T}(V4)
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #60: input, references = 3, size of lhs = 5:
% 0.19/0.39 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtasdt0-{F}(V2,V4,V5), pppp3-{F}(V2,V3,V4), V3 == V5 | FALSE
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #61: input, references = 3, size of lhs = 4:
% 0.19/0.39 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtasdt0-{F}(V2,V4,V5), aNaturalNumber0-{F}(V4) | pppp3-{T}(V2,V5,V4)
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #62: input, references = 3, size of lhs = 7:
% 0.19/0.39 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)
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #63: input, references = 3, size of lhs = 8:
% 0.19/0.39 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)
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #64: input, references = 3, size of lhs = 8:
% 0.19/0.39 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)
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #65: input, references = 3, size of lhs = 6:
% 0.19/0.39 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), doDivides0-{F}(V3,V2), V2 == V0 | sdtlseqdt0-{T}(V3,V2)
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #66: input, references = 3, size of lhs = 12:
% 0.19/0.39 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
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #67: input, references = 3, size of lhs = 4:
% 0.19/0.39 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), isPrime0-{F}(V2) | pppp4-{T}(V2)
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #68: input, references = 3, size of lhs = 4:
% 0.19/0.39 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), pppp4-{F}(V2) | isPrime0-{T}(V2)
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #69: input, references = 3, size of lhs = 3:
% 0.19/0.39 P_sz00-{F}(V0), P_sz10-{F}(V1), pppp4-{F}(V0) | FALSE
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #70: input, references = 3, size of lhs = 3:
% 0.19/0.39 P_sz00-{F}(V0), P_sz10-{F}(V1), pppp4-{F}(V1) | FALSE
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #71: input, references = 3, size of lhs = 7:
% 0.19/0.39 P_sz00-{F}(V0), P_sz10-{F}(V1), pppp4-{F}(V2), aNaturalNumber0-{F}(V3), doDivides0-{F}(V3,V2), V3 == V1, V3 == V2 | FALSE
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #72: input, references = 3, size of lhs = 5:
% 0.19/0.39 P_sz00-{F}(V0), P_sz10-{F}(V1), #-{F} V2, V2 == V0, V2 == V1 | pppp4-{T}(V2), pppp17-{T}(V2,V1)
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #73: input, references = 3, size of lhs = 1:
% 0.19/0.39 pppp17-{F}(V0,V1) | EXISTS V2: pppp7-{T}(V0,V2,V1)
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #74: input, references = 3, size of lhs = 1:
% 0.19/0.39 pppp7-{F}(V0,V0,V2) | FALSE
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #75: input, references = 3, size of lhs = 1:
% 0.19/0.39 pppp7-{F}(V0,V2,V2) | FALSE
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #76: input, references = 3, size of lhs = 1:
% 0.19/0.39 pppp7-{F}(V0,V1,V2) | doDivides0-{T}(V1,V0)
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #77: input, references = 3, size of lhs = 1:
% 0.19/0.39 pppp7-{F}(V0,V1,V2) | aNaturalNumber0-{T}(V1)
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #78: input, references = 3, size of lhs = 3:
% 0.19/0.39 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xk-{F}(V2) | aNaturalNumber0-{T}(V2)
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #79: input, references = 3, size of lhs = 7:
% 0.19/0.39 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xk-{F}(V2), aNaturalNumber0-{F}(V3), iLess0-{F}(V3,V2), V3 == V0, V3 == V1 | EXISTS V4: pppp10-{T}(V3,V0,V1,V4)
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #80: input, references = 3, size of lhs = 1:
% 0.19/0.39 pppp10-{F}(V0,V1,V2,V3) | pppp9-{T}(V0,V3,V1,V2)
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #81: input, references = 3, size of lhs = 1:
% 0.19/0.39 pppp9-{F}(V0,V1,V2,V3) | isPrime0-{T}(V1)
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #82: input, references = 3, size of lhs = 5:
% 0.19/0.39 pppp9-{F}(V0,V1,V2,V3), aNaturalNumber0-{F}(V4), doDivides0-{F}(V4,V1), V4 == V3, V4 == V1 | FALSE
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #83: input, references = 3, size of lhs = 6:
% 0.19/0.39 pppp9-{F}(V0,V6,V2,V3), aNaturalNumber0-{F}(V4), P_sdtasdt0-{F}(V4,V5,V6), aNaturalNumber0-{F}(V5), V4 == V3, V4 == V6 | FALSE
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #84: input, references = 3, size of lhs = 1:
% 0.19/0.39 pppp9-{F}(V0,V3,V2,V3) | FALSE
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #85: input, references = 3, size of lhs = 1:
% 0.19/0.39 pppp9-{F}(V0,V2,V2,V3) | FALSE
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #86: input, references = 3, size of lhs = 1:
% 0.19/0.39 pppp9-{F}(V0,V1,V2,V3) | doDivides0-{T}(V1,V0)
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #87: input, references = 3, size of lhs = 1:
% 0.19/0.39 pppp9-{F}(V0,V1,V2,V3) | EXISTS V4: pppp8-{T}(V0,V1,V4)
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #88: input, references = 3, size of lhs = 1:
% 0.19/0.39 pppp9-{F}(V0,V1,V2,V3) | aNaturalNumber0-{T}(V1)
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #89: input, references = 3, size of lhs = 3:
% 0.19/0.39 pppp8-{F}(V0,V1,V2), P_sdtasdt0-{F}(V1,V2,V3), V0 == V3 | FALSE
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #90: input, references = 3, size of lhs = 2:
% 0.19/0.39 pppp8-{F}(V0,V1,V2), P_sdtasdt0-{F}(V1,V2,V3) | aNaturalNumber0-{T}(V2)
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #91: input, references = 3, size of lhs = 3:
% 0.19/0.39 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xk-{F}(V0) | FALSE
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #92: input, references = 3, size of lhs = 3:
% 0.19/0.39 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xk-{F}(V1) | FALSE
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #93: input, references = 3, size of lhs = 3:
% 0.19/0.39 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xk-{F}(V2) | EXISTS V3: pppp13-{T}(V1,V2,V3)
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #94: input, references = 3, size of lhs = 4:
% 0.19/0.39 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xk-{F}(V2), isPrime0-{F}(V2) | FALSE
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #95: input, references = 3, size of lhs = 1:
% 0.19/0.39 pppp13-{F}(V0,V1,V2) | pppp12-{T}(V2,V0,V1)
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #96: input, references = 3, size of lhs = 1:
% 0.19/0.39 pppp12-{F}(V2,V1,V2) | FALSE
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #97: input, references = 3, size of lhs = 1:
% 0.19/0.39 pppp12-{F}(V1,V1,V2) | FALSE
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #98: input, references = 3, size of lhs = 1:
% 0.19/0.39 pppp12-{F}(V0,V1,V2) | doDivides0-{T}(V0,V2)
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #99: input, references = 3, size of lhs = 1:
% 0.19/0.39 pppp12-{F}(V0,V1,V2) | EXISTS V3: pppp11-{T}(V0,V3,V2)
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #100: input, references = 3, size of lhs = 1:
% 0.19/0.39 pppp12-{F}(V0,V1,V2) | aNaturalNumber0-{T}(V0)
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #101: input, references = 3, size of lhs = 3:
% 0.19/0.39 pppp11-{F}(V0,V1,V2), P_sdtasdt0-{F}(V0,V1,V3), V2 == V3 | FALSE
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #102: input, references = 3, size of lhs = 2:
% 0.19/0.39 pppp11-{F}(V0,V1,V2), P_sdtasdt0-{F}(V0,V1,V3) | aNaturalNumber0-{T}(V1)
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #103: input, references = 4, size of lhs = 3:
% 0.19/0.39 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xk-{F}(V2) | FALSE
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #104: input, references = 3, size of lhs = 8:
% 0.19/0.39 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xk-{F}(V5), aNaturalNumber0-{F}(V3), P_sdtasdt0-{F}(V3,V4,V5), aNaturalNumber0-{F}(V4), V3 == V0, V3 == V1 | EXISTS V6: pppp16-{T}(V3,V1,V6)
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #105: input, references = 3, size of lhs = 7:
% 0.19/0.39 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xk-{F}(V5), aNaturalNumber0-{F}(V3), P_sdtasdt0-{F}(V3,V4,V5), aNaturalNumber0-{F}(V4), isPrime0-{F}(V3) | FALSE
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #106: input, references = 3, size of lhs = 7:
% 0.19/0.39 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xk-{F}(V2), aNaturalNumber0-{F}(V3), doDivides0-{F}(V3,V2), V3 == V0, V3 == V1 | EXISTS V4: pppp16-{T}(V3,V1,V4)
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #107: input, references = 3, size of lhs = 6:
% 0.19/0.39 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xk-{F}(V2), aNaturalNumber0-{F}(V3), doDivides0-{F}(V3,V2), isPrime0-{F}(V3) | FALSE
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #108: input, references = 3, size of lhs = 1:
% 0.19/0.39 pppp16-{F}(V0,V1,V2) | pppp15-{T}(V0,V2,V1)
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #109: input, references = 3, size of lhs = 1:
% 0.19/0.39 pppp15-{F}(V0,V0,V2) | FALSE
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #110: input, references = 3, size of lhs = 1:
% 0.19/0.39 pppp15-{F}(V0,V2,V2) | FALSE
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #111: input, references = 3, size of lhs = 1:
% 0.19/0.39 pppp15-{F}(V0,V1,V2) | doDivides0-{T}(V1,V0)
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #112: input, references = 3, size of lhs = 1:
% 0.19/0.39 pppp15-{F}(V0,V1,V2) | EXISTS V3: pppp14-{T}(V0,V1,V3)
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #113: input, references = 3, size of lhs = 1:
% 0.19/0.39 pppp15-{F}(V0,V1,V2) | aNaturalNumber0-{T}(V1)
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #114: input, references = 3, size of lhs = 3:
% 0.19/0.39 pppp14-{F}(V0,V1,V2), P_sdtasdt0-{F}(V1,V2,V3), V0 == V3 | FALSE
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #115: input, references = 3, size of lhs = 2:
% 0.19/0.39 pppp14-{F}(V0,V1,V2), P_sdtasdt0-{F}(V1,V2,V3) | aNaturalNumber0-{T}(V2)
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #116: input, references = 4, size of lhs = 0:
% 0.19/0.39 FALSE | EXISTS V0: P_sz00-{T}(V0)
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #117: input, references = 4, size of lhs = 0:
% 0.19/0.39 FALSE | EXISTS V0: P_sz10-{T}(V0)
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #118: input, references = 3, size of lhs = 2:
% 0.19/0.39 #-{F} V0, #-{F} V1 | EXISTS V2: P_sdtpldt0-{T}(V0,V1,V2)
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #119: input, references = 3, size of lhs = 2:
% 0.19/0.39 #-{F} V0, #-{F} V1 | EXISTS V2: P_sdtasdt0-{T}(V0,V1,V2)
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #120: input, references = 3, size of lhs = 2:
% 0.19/0.39 #-{F} V0, #-{F} V1 | EXISTS V2: P_sdtmndt0-{T}(V0,V1,V2)
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #121: input, references = 3, size of lhs = 2:
% 0.19/0.39 #-{F} V0, #-{F} V1 | EXISTS V2: P_sdtsldt0-{T}(V0,V1,V2)
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #122: input, references = 4, size of lhs = 0:
% 0.19/0.39 FALSE | EXISTS V0: P_xk-{T}(V0)
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 number of initial rules = 123
% 0.19/0.39
% 0.19/0.39 Simplifiers:
% 0.19/0.39 #123: unsound, references = 3, size of lhs = 3:
% 0.19/0.39 P_sz00-{F}(V0), P_sz00-{F}(V1), V0 == V1 | FALSE
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #124: unsound, references = 3, size of lhs = 3:
% 0.19/0.39 P_sz10-{F}(V0), P_sz10-{F}(V1), V0 == V1 | FALSE
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #125: unsound, references = 3, size of lhs = 3:
% 0.19/0.39 P_sdtpldt0-{F}(V0,V1,V2), P_sdtpldt0-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #126: unsound, references = 3, size of lhs = 3:
% 0.19/0.39 P_sdtasdt0-{F}(V0,V1,V2), P_sdtasdt0-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #127: unsound, references = 3, size of lhs = 3:
% 0.19/0.39 P_sdtmndt0-{F}(V0,V1,V2), P_sdtmndt0-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #128: unsound, references = 3, size of lhs = 3:
% 0.19/0.39 P_sdtsldt0-{F}(V0,V1,V2), P_sdtsldt0-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #129: unsound, references = 3, size of lhs = 3:
% 0.19/0.39 P_xk-{F}(V0), P_xk-{F}(V1), V0 == V1 | FALSE
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #130: unsound, references = 3, size of lhs = 3:
% 0.19/0.39 pppp5-{F}(V0,V1,V2), pppp5-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #131: unsound, references = 3, size of lhs = 3:
% 0.19/0.39 pppp6-{F}(V0,V1,V2), pppp6-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #132: unsound, references = 3, size of lhs = 3:
% 0.19/0.39 pppp7-{F}(V0,V1,V2), pppp7-{F}(V0,V4,V2), V1 == V4 | FALSE
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #133: unsound, references = 3, size of lhs = 3:
% 0.19/0.39 pppp7-{F}(V0,V1,V2), pppp7-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #134: unsound, references = 3, size of lhs = 3:
% 0.19/0.39 pppp8-{F}(V0,V1,V2), pppp8-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #135: unsound, references = 3, size of lhs = 3:
% 0.19/0.39 pppp9-{F}(V0,V1,V2,V3), pppp9-{F}(V0,V5,V2,V3), V1 == V5 | FALSE
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #136: unsound, references = 3, size of lhs = 3:
% 0.19/0.39 pppp9-{F}(V0,V1,V2,V3), pppp9-{F}(V4,V5,V6,V7), V2 == V6 | FALSE
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #137: unsound, references = 3, size of lhs = 3:
% 0.19/0.39 pppp9-{F}(V0,V1,V2,V3), pppp9-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #138: unsound, references = 3, size of lhs = 3:
% 0.19/0.39 pppp10-{F}(V0,V1,V2,V3), pppp10-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #139: unsound, references = 3, size of lhs = 3:
% 0.19/0.39 pppp10-{F}(V0,V1,V2,V3), pppp10-{F}(V4,V5,V6,V7), V1 == V5 | FALSE
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #140: unsound, references = 3, size of lhs = 3:
% 0.19/0.39 pppp10-{F}(V0,V1,V2,V3), pppp10-{F}(V4,V5,V6,V7), V2 == V6 | FALSE
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #141: unsound, references = 3, size of lhs = 3:
% 0.19/0.39 pppp11-{F}(V0,V1,V2), pppp11-{F}(V0,V4,V2), V1 == V4 | FALSE
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #142: unsound, references = 3, size of lhs = 3:
% 0.19/0.39 pppp11-{F}(V0,V1,V2), pppp11-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #143: unsound, references = 3, size of lhs = 3:
% 0.19/0.39 pppp12-{F}(V0,V1,V2), pppp12-{F}(V3,V1,V2), V0 == V3 | FALSE
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #144: unsound, references = 3, size of lhs = 3:
% 0.19/0.39 pppp12-{F}(V0,V1,V2), pppp12-{F}(V3,V4,V5), V1 == V4 | FALSE
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #145: unsound, references = 3, size of lhs = 3:
% 0.19/0.39 pppp12-{F}(V0,V1,V2), pppp12-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #146: unsound, references = 3, size of lhs = 3:
% 0.19/0.39 pppp13-{F}(V0,V1,V2), pppp13-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #147: unsound, references = 3, size of lhs = 3:
% 0.19/0.39 pppp13-{F}(V0,V1,V2), pppp13-{F}(V3,V4,V5), V0 == V3 | FALSE
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #148: unsound, references = 3, size of lhs = 3:
% 0.19/0.39 pppp13-{F}(V0,V1,V2), pppp13-{F}(V3,V4,V5), V1 == V4 | FALSE
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #149: unsound, references = 3, size of lhs = 3:
% 0.19/0.39 pppp14-{F}(V0,V1,V2), pppp14-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #150: unsound, references = 3, size of lhs = 3:
% 0.19/0.39 pppp15-{F}(V0,V1,V2), pppp15-{F}(V0,V4,V2), V1 == V4 | FALSE
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #151: unsound, references = 3, size of lhs = 3:
% 0.19/0.39 pppp15-{F}(V0,V1,V2), pppp15-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #152: unsound, references = 3, size of lhs = 3:
% 0.19/0.39 pppp16-{F}(V0,V1,V2), pppp16-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #153: unsound, references = 3, size of lhs = 3:
% 0.19/0.39 pppp16-{F}(V0,V1,V2), pppp16-{F}(V3,V4,V5), V1 == V4 | FALSE
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #154: unsound, references = 3, size of lhs = 3:
% 0.19/0.39 pppp17-{F}(V0,V1), pppp17-{F}(V2,V3), V1 == V3 | FALSE
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 number of simplifiers = 32
% 0.19/0.39
% 0.19/0.39 Learnt:
% 0.19/0.39 #156: exists( #122, #103 ), references = 1, size of lhs = 2:
% 0.19/0.39 P_sz00-{F}(V0), P_sz10-{F}(V1) | FALSE
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #158: exists( #117, #155 ), references = 1, size of lhs = 1:
% 0.19/0.39 P_sz00-{F}(V0) | FALSE
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 #160: exists( #116, #157 ), references = 1, size of lhs = 0:
% 0.19/0.39 FALSE | FALSE
% 0.19/0.39 (used 0 times, uses = {})
% 0.19/0.39
% 0.19/0.39 number of learnt formulas = 3
% 0.19/0.39
% 0.19/0.39
% 0.19/0.39 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.39
% 0.19/0.39 randbase = 1
%------------------------------------------------------------------------------