TSTP Solution File: NUM459+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : NUM459+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n018.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 06:12:31 EDT 2022
% Result : Theorem 27.22s 27.40s
% Output : Refutation 27.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM459+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.34 % Computer : n018.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 : Sat Jul 23 00:16:41 EDT 2022
% 0.13/0.34 % CPUTime :
% 27.22/27.40 GeoParameters:
% 27.22/27.40
% 27.22/27.40 tptp_input = 1
% 27.22/27.40 tptp_output = 0
% 27.22/27.40 nonempty = 1
% 27.22/27.40 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 27.22/27.40 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 27.22/27.40
% 27.22/27.40
% 27.22/27.40 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 27.22/27.40 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 27.22/27.40
% 27.22/27.40 RuleSystem INPUT:
% 27.22/27.40
% 27.22/27.40 Initial Rules:
% 27.22/27.40 #0: input, references = 4, size of lhs = 1:
% 27.22/27.40 P_sz00-{F}(V0) | aNaturalNumber0-{T}(V0)
% 27.22/27.40 (used 0 times, uses = {})
% 27.22/27.40
% 27.22/27.40 #1: input, references = 3, size of lhs = 2:
% 27.22/27.40 P_sz00-{F}(V0), P_sz10-{F}(V1) | aNaturalNumber0-{T}(V1)
% 27.22/27.40 (used 0 times, uses = {})
% 27.22/27.40
% 27.22/27.40 #2: input, references = 3, size of lhs = 2:
% 27.22/27.40 P_sz00-{F}(V0), P_sz10-{F}(V0) | FALSE
% 27.22/27.40 (used 0 times, uses = {})
% 27.22/27.40
% 27.22/27.40 #3: input, references = 4, size of lhs = 5:
% 27.22/27.40 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V3,V2,V4), aNaturalNumber0-{F}(V3) | aNaturalNumber0-{T}(V4)
% 27.22/27.40 (used 0 times, uses = {})
% 27.22/27.40
% 27.22/27.40 #4: input, references = 4, size of lhs = 5:
% 27.22/27.40 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtasdt0-{F}(V3,V2,V4), aNaturalNumber0-{F}(V3) | aNaturalNumber0-{T}(V4)
% 27.22/27.40 (used 0 times, uses = {})
% 27.22/27.40
% 27.22/27.40 #5: input, references = 4, size of lhs = 7:
% 27.22/27.40 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
% 27.22/27.40 (used 0 times, uses = {})
% 27.22/27.40
% 27.22/27.40 #6: input, references = 4, size of lhs = 10:
% 27.22/27.40 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
% 27.22/27.40 (used 0 times, uses = {})
% 27.22/27.40
% 27.22/27.40 #7: input, references = 4, size of lhs = 6:
% 27.22/27.40 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
% 27.22/27.40 (used 0 times, uses = {})
% 27.22/27.40
% 27.22/27.40 #8: input, references = 3, size of lhs = 6:
% 27.22/27.40 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
% 27.22/27.40 (used 0 times, uses = {})
% 27.22/27.40
% 27.22/27.40 #9: input, references = 4, size of lhs = 7:
% 27.22/27.40 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
% 27.22/27.40 (used 0 times, uses = {})
% 27.22/27.40
% 27.22/27.40 #10: input, references = 3, size of lhs = 10:
% 27.22/27.40 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
% 27.22/27.40 (used 0 times, uses = {})
% 27.22/27.40
% 27.22/27.40 #11: input, references = 4, size of lhs = 6:
% 27.22/27.40 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
% 27.22/27.40 (used 0 times, uses = {})
% 27.22/27.40
% 27.22/27.40 #12: input, references = 3, size of lhs = 6:
% 27.22/27.40 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
% 27.22/27.40 (used 0 times, uses = {})
% 27.22/27.40
% 27.22/27.40 #13: input, references = 5, size of lhs = 6:
% 27.22/27.40 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
% 27.22/27.40 (used 0 times, uses = {})
% 27.22/27.40
% 27.22/27.40 #14: input, references = 3, size of lhs = 6:
% 27.22/27.40 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
% 27.22/27.40 (used 0 times, uses = {})
% 27.22/27.40
% 27.22/27.40 #15: input, references = 5, size of lhs = 15:
% 27.22/27.40 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
% 27.22/27.40 (used 0 times, uses = {})
% 27.22/27.40
% 27.22/27.40 #16: input, references = 5, size of lhs = 15:
% 27.22/27.40 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
% 27.22/27.40 (used 0 times, uses = {})
% 27.22/27.40
% 27.22/27.40 #17: input, references = 4, size of lhs = 10:
% 27.22/27.40 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
% 27.22/27.40 (used 0 times, uses = {})
% 27.22/27.40
% 27.22/27.40 #18: input, references = 3, size of lhs = 10:
% 27.22/27.40 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
% 27.22/27.40 (used 0 times, uses = {})
% 27.22/27.40
% 27.22/27.40 #19: input, references = 3, size of lhs = 11:
% 27.22/27.40 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
% 27.22/27.40 (used 0 times, uses = {})
% 27.22/27.40
% 27.22/27.40 #20: input, references = 3, size of lhs = 11:
% 27.22/27.40 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
% 27.22/27.40 (used 0 times, uses = {})
% 27.22/27.40
% 27.22/27.40 #21: input, references = 5, size of lhs = 6:
% 27.22/27.40 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V3,V2,V0), aNaturalNumber0-{F}(V3), V3 == V0 | FALSE
% 27.22/27.40 (used 0 times, uses = {})
% 27.22/27.40
% 27.22/27.40 #22: input, references = 4, size of lhs = 6:
% 27.22/27.40 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V3,V2,V0), aNaturalNumber0-{F}(V3), V2 == V0 | FALSE
% 27.22/27.40 (used 0 times, uses = {})
% 27.22/27.40
% 27.22/27.40 #23: input, references = 3, size of lhs = 7:
% 27.22/27.40 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
% 27.22/27.40 (used 0 times, uses = {})
% 27.22/27.40
% 27.22/27.40 #24: input, references = 5, size of lhs = 5:
% 27.22/27.40 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), sdtlseqdt0-{F}(V3,V2) | pppp0-{T}(V3,V2)
% 27.22/27.40 (used 0 times, uses = {})
% 27.22/27.40
% 27.22/27.40 #25: input, references = 4, size of lhs = 5:
% 27.22/27.40 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), pppp0-{F}(V3,V2) | sdtlseqdt0-{T}(V3,V2)
% 27.22/27.40 (used 0 times, uses = {})
% 27.22/27.40
% 27.22/27.40 #26: input, references = 5, size of lhs = 3:
% 27.22/27.40 P_sz00-{F}(V0), P_sz10-{F}(V1), pppp0-{F}(V2,V3) | EXISTS V4: pppp2-{T}(V2,V3,V4)
% 27.22/27.40 (used 0 times, uses = {})
% 27.22/27.40
% 27.22/27.40 #27: input, references = 4, size of lhs = 4:
% 27.22/27.40 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtpldt0-{F}(V2,V4,V3), aNaturalNumber0-{F}(V4) | pppp0-{T}(V2,V3)
% 27.22/27.40 (used 0 times, uses = {})
% 27.22/27.40
% 27.22/27.40 #28: input, references = 5, size of lhs = 3:
% 27.22/27.40 pppp2-{F}(V0,V1,V2), P_sdtpldt0-{F}(V0,V2,V3), V3 == V1 | FALSE
% 27.22/27.40 (used 0 times, uses = {})
% 27.22/27.40
% 27.22/27.40 #29: input, references = 9, size of lhs = 2:
% 27.22/27.40 pppp2-{F}(V0,V1,V2), P_sdtpldt0-{F}(V0,V2,V3) | aNaturalNumber0-{T}(V2)
% 27.22/27.40 (used 0 times, uses = {})
% 27.22/27.40
% 27.22/27.40 #30: input, references = 3, size of lhs = 6:
% 27.22/27.40 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)
% 27.22/27.40 (used 0 times, uses = {})
% 27.22/27.40
% 27.22/27.40 #31: input, references = 5, size of lhs = 8:
% 27.22/27.40 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
% 27.22/27.40 (used 0 times, uses = {})
% 27.22/27.40
% 27.22/27.40 #32: input, references = 3, size of lhs = 4:
% 27.22/27.40 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtpldt0-{F}(V2,V4,V5), pppp1-{F}(V2,V3,V4) | aNaturalNumber0-{T}(V4)
% 27.22/27.40 (used 0 times, uses = {})
% 27.22/27.40
% 27.22/27.40 #33: input, references = 4, size of lhs = 5:
% 27.22/27.40 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtpldt0-{F}(V2,V4,V5), pppp1-{F}(V2,V3,V4), V5 == V3 | FALSE
% 27.22/27.40 (used 0 times, uses = {})
% 27.22/27.40
% 27.22/27.40 #34: input, references = 4, size of lhs = 4:
% 27.22/27.40 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtpldt0-{F}(V2,V4,V3), aNaturalNumber0-{F}(V4) | pppp1-{T}(V2,V3,V4)
% 27.22/27.40 (used 0 times, uses = {})
% 27.22/27.40
% 27.22/27.40 #35: input, references = 3, size of lhs = 3:
% 27.22/27.40 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2) | sdtlseqdt0-{T}(V2,V2)
% 27.22/27.40 (used 0 times, uses = {})
% 27.22/27.40
% 27.22/27.40 #36: input, references = 4, size of lhs = 4:
% 27.22/27.40 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xm-{F}(V2), P_xn-{F}(V3) | aNaturalNumber0-{T}(V2)
% 27.22/27.40 (used 0 times, uses = {})
% 27.22/27.40
% 27.22/27.40 #37: input, references = 4, size of lhs = 4:
% 27.22/27.40 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xm-{F}(V2), P_xn-{F}(V3) | aNaturalNumber0-{T}(V3)
% 27.22/27.40 (used 0 times, uses = {})
% 27.22/27.40
% 27.22/27.40 #38: input, references = 4, size of lhs = 4:
% 27.22/27.40 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xm-{F}(V2), P_xn-{F}(V3) | sdtlseqdt0-{T}(V2,V3)
% 27.22/27.40 (used 0 times, uses = {})
% 27.22/27.40
% 27.22/27.40 #39: input, references = 4, size of lhs = 4:
% 27.22/27.40 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xm-{F}(V2), P_xn-{F}(V3) | sdtlseqdt0-{T}(V3,V2)
% 27.22/27.40 (used 0 times, uses = {})
% 27.22/27.40
% 27.22/27.40 #40: input, references = 4, size of lhs = 4:
% 27.22/27.40 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xm-{F}(V3), P_xn-{F}(V3) | FALSE
% 27.22/27.40 (used 0 times, uses = {})
% 27.22/27.40
% 27.22/27.40 #41: input, references = 4, size of lhs = 0:
% 27.22/27.40 FALSE | EXISTS V0: P_sz00-{T}(V0)
% 27.22/27.40 (used 0 times, uses = {})
% 27.22/27.40
% 27.22/27.40 #42: input, references = 4, size of lhs = 0:
% 27.22/27.40 FALSE | EXISTS V0: P_sz10-{T}(V0)
% 27.22/27.40 (used 0 times, uses = {})
% 27.22/27.40
% 27.22/27.40 #43: input, references = 10, size of lhs = 2:
% 27.22/27.40 #-{F} V0, #-{F} V1 | EXISTS V2: P_sdtpldt0-{T}(V0,V1,V2)
% 27.22/27.40 (used 0 times, uses = {})
% 27.22/27.40
% 27.22/27.40 #44: input, references = 9, size of lhs = 2:
% 27.22/27.40 #-{F} V0, #-{F} V1 | EXISTS V2: P_sdtasdt0-{T}(V0,V1,V2)
% 27.22/27.40 (used 0 times, uses = {})
% 27.22/27.40
% 27.22/27.40 #45: input, references = 7, size of lhs = 2:
% 27.22/27.40 #-{F} V0, #-{F} V1 | EXISTS V2: P_sdtmndt0-{T}(V0,V1,V2)
% 27.22/27.40 (used 0 times, uses = {})
% 27.22/27.40
% 27.22/27.40 #46: input, references = 4, size of lhs = 0:
% 27.22/27.40 FALSE | EXISTS V0: P_xm-{T}(V0)
% 27.22/27.40 (used 0 times, uses = {})
% 27.22/27.40
% 27.22/27.40 #47: input, references = 4, size of lhs = 0:
% 27.22/27.40 FALSE | EXISTS V0: P_xn-{T}(V0)
% 27.22/27.40 (used 0 times, uses = {})
% 27.22/27.40
% 27.22/27.40 number of initial rules = 48
% 27.22/27.40
% 27.22/27.40 Simplifiers:
% 27.22/27.40 #48: unsound, references = 3, size of lhs = 3:
% 27.22/27.40 P_sz00-{F}(V0), P_sz00-{F}(V1), V0 == V1 | FALSE
% 27.22/27.40 (used 0 times, uses = {})
% 27.22/27.40
% 27.22/27.40 #49: unsound, references = 3, size of lhs = 3:
% 27.22/27.40 P_sz10-{F}(V0), P_sz10-{F}(V1), V0 == V1 | FALSE
% 27.22/27.40 (used 0 times, uses = {})
% 27.22/27.40
% 27.22/27.40 #50: unsound, references = 3, size of lhs = 3:
% 27.22/27.40 P_sdtpldt0-{F}(V0,V1,V2), P_sdtpldt0-{F}(V0,V1,V5), V2 == V5 | FALSE
% 27.22/27.40 (used 0 times, uses = {})
% 27.22/27.40
% 27.22/27.40 #51: unsound, references = 3, size of lhs = 3:
% 27.22/27.40 P_sdtasdt0-{F}(V0,V1,V2), P_sdtasdt0-{F}(V0,V1,V5), V2 == V5 | FALSE
% 27.22/27.40 (used 0 times, uses = {})
% 27.22/27.40
% 27.22/27.40 #52: unsound, references = 3, size of lhs = 3:
% 27.22/27.40 P_sdtmndt0-{F}(V0,V1,V2), P_sdtmndt0-{F}(V0,V1,V5), V2 == V5 | FALSE
% 27.22/27.40 (used 0 times, uses = {})
% 27.22/27.40
% 27.22/27.40 #53: unsound, references = 3, size of lhs = 3:
% 27.22/27.40 P_xm-{F}(V0), P_xm-{F}(V1), V0 == V1 | FALSE
% 27.22/27.40 (used 0 times, uses = {})
% 27.22/27.40
% 27.22/27.40 #54: unsound, references = 3, size of lhs = 3:
% 27.22/27.40 P_xn-{F}(V0), P_xn-{F}(V1), V0 == V1 | FALSE
% 27.22/27.40 (used 0 times, uses = {})
% 27.22/27.40
% 27.22/27.40 #55: unsound, references = 3, size of lhs = 3:
% 27.22/27.40 pppp2-{F}(V0,V1,V2), pppp2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 27.22/27.40 (used 0 times, uses = {})
% 27.22/27.40
% 27.22/27.40 number of simplifiers = 8
% 27.22/27.40
% 27.22/27.40 Learnt:
% 27.22/27.40 #61: exists( #43, #7 ), references = 1, size of lhs = 5:
% 27.22/27.40 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V2,V0,V3), V3 == V2 | FALSE
% 27.22/27.40 (used 0 times, uses = {})
% 27.22/27.40
% 27.22/27.40 #62: exists( #43, #17 ), references = 3, size of lhs = 9:
% 27.22/27.40 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), V3 == V2, aNaturalNumber0-{F}(V4), P_sdtpldt0-{F}(V4,V3,V5), P_sdtpldt0-{F}(V4,V2,V5), P_sdtpldt0-{F}(V3,V4,V6) | FALSE
% 27.22/27.40 (used 0 times, uses = {})
% 27.22/27.40
% 27.22/27.40 #63: exists( #43, #5 ), references = 7, size of lhs = 5:
% 27.22/27.40 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)
% 27.22/27.40 (used 0 times, uses = {})
% 27.22/27.40
% 27.22/27.40 #65: exists( #43, #58 ), references = 6, size of lhs = 3:
% 27.22/27.40 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2) | P_sdtpldt0-{T}(V2,V0,V2)
% 27.22/27.40 (used 0 times, uses = {})
% 27.22/27.40
% 27.22/27.40 #68: exists( #44, #13 ), references = 1, size of lhs = 3:
% 27.22/27.40 P_sz00-{F}(V0), aNaturalNumber0-{F}(V0), P_sz10-{F}(V1) | P_sdtasdt0-{T}(V0,V0,V0)
% 27.22/27.40 (used 0 times, uses = {})
% 27.22/27.40
% 27.22/27.40 #70: exists( #45, #31 ), references = 1, size of lhs = 6:
% 27.22/27.40 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)
% 27.22/27.40 (used 0 times, uses = {})
% 27.22/27.40
% 27.22/27.40 #73: exists( #44, #13 ), references = 1, size of lhs = 5:
% 27.22/27.40 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtasdt0-{F}(V2,V0,V3), V3 == V0 | FALSE
% 27.22/27.40 (used 0 times, uses = {})
% 27.22/27.40
% 27.22/27.40 #74: exists( #44, #9 ), references = 5, size of lhs = 5:
% 27.22/27.40 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)
% 27.22/27.40 (used 0 times, uses = {})
% 27.22/27.40
% 27.22/27.40 #76: exists( #44, #71 ), references = 1, size of lhs = 3:
% 27.22/27.40 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2) | P_sdtasdt0-{T}(V2,V0,V0)
% 27.22/27.40 (used 0 times, uses = {})
% 27.22/27.40
% 27.22/27.40 #88: mergings( V3 == V5, V4 == V1; #84 ), references = 1, size of lhs = 4:
% 27.22/27.40 aNaturalNumber0-{F}(V0), P_sz10-{F}(V0), P_sz00-{F}(V1), aNaturalNumber0-{F}(V2) | P_sdtasdt0-{T}(V2,V0,V2)
% 27.22/27.40 (used 0 times, uses = {})
% 27.22/27.40
% 27.22/27.40 #91: exists( #43, #6 ), references = 5, size of lhs = 8:
% 27.22/27.40 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)
% 27.22/27.40 (used 0 times, uses = {})
% 27.22/27.40
% 27.22/27.40 #100: exists( #43, #15 ), references = 5, size of lhs = 12:
% 27.22/27.40 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), P_sdtpldt0-{F}(V3,V2,V4), aNaturalNumber0-{F}(V5), P_sdtasdt0-{F}(V5,V4,V6), P_sdtasdt0-{F}(V5,V3,V7), P_sdtasdt0-{F}(V3,V5,V7), P_sdtasdt0-{F}(V5,V2,V8), P_sdtasdt0-{F}(V2,V5,V8), P_sdtasdt0-{F}(V4,V5,V9) | P_sdtpldt0-{T}(V7,V8,V6)
% 27.22/27.40 (used 0 times, uses = {})
% 27.22/27.40
% 27.22/27.40 #101: exists( #43, #16 ), references = 1, size of lhs = 12:
% 27.22/27.40 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), P_sdtpldt0-{F}(V3,V2,V4), aNaturalNumber0-{F}(V5), P_sdtasdt0-{F}(V5,V4,V6), P_sdtasdt0-{F}(V5,V3,V7), P_sdtasdt0-{F}(V3,V5,V7), P_sdtasdt0-{F}(V5,V2,V8), P_sdtasdt0-{F}(V2,V5,V8), P_sdtasdt0-{F}(V4,V5,V9) | P_sdtpldt0-{T}(V7,V8,V9)
% 27.22/27.40 (used 0 times, uses = {})
% 27.22/27.40
% 27.22/27.40 #109: mergings( V3 == V5, V5 == V10, V4 == V6, V6 == V11; #104 ), references = 1, size of lhs = 9:
% 27.22/27.40 aNaturalNumber0-{F}(V0), aNaturalNumber0-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V2,V1,V3), aNaturalNumber0-{F}(V4), P_sdtpldt0-{F}(V4,V2,V0), P_sz00-{F}(V5), P_sz10-{F}(V6), pppp1-{F}(V4,V7,V3) | P_sdtpldt0-{T}(V1,V0,V7)
% 27.22/27.40 (used 0 times, uses = {})
% 27.22/27.40
% 27.22/27.40 #115: exists( #43, #28 ), references = 7, size of lhs = 1:
% 27.22/27.40 pppp2-{F}(V0,V1,V2) | P_sdtpldt0-{T}(V0,V2,V1)
% 27.22/27.40 (used 0 times, uses = {})
% 27.22/27.40
% 27.22/27.40 #125: mergings( V0 == V3, V1 == V5; #121 ), references = 1, size of lhs = 4:
% 27.22/27.40 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), pppp0-{F}(V2,V0) | pppp2-{T}(V2,V0,V0)
% 27.22/27.40 (used 0 times, uses = {})
% 27.22/27.40
% 27.22/27.40 #128: mergings( V0 == V5, V1 == V6; #122 ), references = 1, size of lhs = 7:
% 27.22/27.40 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), pppp0-{F}(V3,V4), P_sdtpldt0-{F}(V3,V2,V4), P_sdtpldt0-{F}(V2,V3,V5) | pppp2-{T}(V3,V4,V2)
% 27.22/27.40 (used 0 times, uses = {})
% 27.22/27.40
% 27.22/27.40 #155: mergings( V3 == V5, V5 == V9, V9 == V11, V11 == V14, V4 == V6, V6 == V10, V10 == V12, V12 == V15; #146 ), references = 3, size of lhs = 15:
% 27.22/27.40 aNaturalNumber0-{F}(V0), aNaturalNumber0-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V2,V1,V3), aNaturalNumber0-{F}(V3), aNaturalNumber0-{F}(V4), P_sdtpldt0-{F}(V4,V2,V0), P_sz00-{F}(V5), P_sz10-{F}(V6), aNaturalNumber0-{F}(V7), aNaturalNumber0-{F}(V8), P_sdtpldt0-{F}(V8,V3,V9), P_sdtpldt0-{F}(V9,V4,V10), P_sdtpldt0-{F}(V8,V7,V10), P_sdtpldt0-{F}(V7,V8,V11) | P_sdtpldt0-{T}(V0,V1,V7)
% 27.22/27.40 (used 0 times, uses = {})
% 27.22/27.40
% 27.22/27.40 #221: mergings( V0 == V5, V5 == V7, V1 == V6, V6 == V8; #216 ), references = 4, size of lhs = 7:
% 27.22/27.40 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) | pppp2-{T}(V3,V2,V4)
% 27.22/27.40 (used 0 times, uses = {})
% 27.22/27.40
% 27.22/27.40 #245: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V16, V0 == V14; #232 ), references = 2, size of lhs = 11:
% 27.22/27.40 aNaturalNumber0-{F}(V0), pppp0-{F}(V0,V1), sdtlseqdt0-{F}(V0,V1), aNaturalNumber0-{F}(V1), P_sdtpldt0-{F}(V1,V1,V0), aNaturalNumber0-{F}(V2), V1 == V2, P_sz00-{F}(V2), P_sdtpldt0-{F}(V1,V2,V1), P_sdtpldt0-{F}(V2,V1,V3), P_sz10-{F}(V4) | FALSE
% 27.22/27.40 (used 0 times, uses = {})
% 27.22/27.40
% 27.22/27.40 #282: mergings( V3 == V5, V5 == V8, V8 == V10, V10 == V13, V13 == V21, V21 == V25, V25 == V27, V27 == V29, V4 == V6, V6 == V7, V7 == V9, V9 == V11, V11 == V14, V14 == V22, V22 == V26, V26 == V28, V28 == V30; #264 ), references = 1, size of lhs = 21:
% 27.22/27.40 aNaturalNumber0-{F}(V0), aNaturalNumber0-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), P_sdtpldt0-{F}(V3,V2,V0), aNaturalNumber0-{F}(V4), P_sdtpldt0-{F}(V4,V4,V5), P_sdtasdt0-{F}(V0,V5,V1), P_sdtasdt0-{F}(V5,V0,V6), P_sdtasdt0-{F}(V4,V3,V7), P_sdtasdt0-{F}(V3,V4,V7), P_sdtasdt0-{F}(V4,V2,V8), P_sdtasdt0-{F}(V2,V4,V8), aNaturalNumber0-{F}(V8), aNaturalNumber0-{F}(V9), P_sdtpldt0-{F}(V1,V9,V7), P_sdtpldt0-{F}(V9,V8,V10), aNaturalNumber0-{F}(V10), aNaturalNumber0-{F}(V11), P_sz00-{F}(V11), P_sz10-{F}(V12) | P_sdtasdt0-{T}(V4,V0,V11)
% 27.22/27.40 (used 0 times, uses = {})
% 27.22/27.40
% 27.22/27.40 #334: mergings( V3 == V5, V5 == V7, V7 == V11, V11 == V13, V4 == V6, V6 == V8, V8 == V12, V12 == V16, V10 == V9, V14 == V1; #322 ), references = 2, size of lhs = 13:
% 27.22/27.40 aNaturalNumber0-{F}(V0), aNaturalNumber0-{F}(V1), aNaturalNumber0-{F}(V2), V1 == V2, P_sdtpldt0-{F}(V1,V2,V1), P_sz00-{F}(V2), aNaturalNumber0-{F}(V3), pppp0-{F}(V3,V0), sdtlseqdt0-{F}(V3,V0), P_sdtpldt0-{F}(V3,V2,V3), P_sdtpldt0-{F}(V0,V1,V3), P_sdtpldt0-{F}(V2,V3,V4), P_sz10-{F}(V5) | FALSE
% 27.22/27.40 (used 0 times, uses = {})
% 27.22/27.40
% 27.22/27.40 #351: mergings( V3 == V5, V5 == V7, V4 == V6, V6 == V8; #345 ), references = 1, size of lhs = 11:
% 27.22/27.40 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V2,V2,V3), aNaturalNumber0-{F}(V4), P_sdtpldt0-{F}(V4,V4,V5), P_sdtasdt0-{F}(V2,V5,V6), P_sdtasdt0-{F}(V5,V2,V7), P_sdtasdt0-{F}(V4,V3,V8), V8 == V6, P_sdtasdt0-{F}(V3,V4,V9) | FALSE
% 27.22/27.40 (used 0 times, uses = {})
% 27.22/27.40
% 27.22/27.40 #356: mergings( V3 == V5, V5 == V7, V4 == V6, V6 == V8; #346 ), references = 1, size of lhs = 11:
% 27.22/27.40 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V2,V2,V3), aNaturalNumber0-{F}(V4), P_sdtpldt0-{F}(V4,V4,V5), P_sdtasdt0-{F}(V2,V5,V6), P_sdtasdt0-{F}(V5,V2,V7), P_sdtasdt0-{F}(V4,V3,V8), P_sdtasdt0-{F}(V3,V4,V9), V9 == V6 | FALSE
% 27.22/27.40 (used 0 times, uses = {})
% 27.22/27.40
% 27.22/27.40 #388: mergings( V3 == V6, V4 == V5, V5 == V8; #384 ), references = 1, size of lhs = 11:
% 27.22/27.40 aNaturalNumber0-{F}(V0), pppp0-{F}(V0,V1), sdtlseqdt0-{F}(V0,V1), aNaturalNumber0-{F}(V1), pppp0-{F}(V1,V0), sdtlseqdt0-{F}(V1,V0), aNaturalNumber0-{F}(V2), P_sz00-{F}(V2), P_sdtpldt0-{F}(V1,V2,V1), P_sdtpldt0-{F}(V2,V1,V3), P_sz10-{F}(V4) | P_sdtmndt0-{T}(V1,V0,V2)
% 27.22/27.40 (used 0 times, uses = {})
% 27.22/27.40
% 27.22/27.40 #435: mergings( V1 == V3, V3 == V6, V6 == V10, V10 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V22, V22 == V24, V2 == V4, V4 == V7, V7 == V8, V8 == V9, V9 == V11, V11 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V21, V21 == V23, V23 == V25, V5 == V12; #411 ), references = 1, size of lhs = 4:
% 27.22/27.40 P_xm-{F}(V0), aNaturalNumber0-{F}(V1), P_sz00-{F}(V1), P_sz10-{F}(V2) | P_xn-{T}(V0)
% 27.22/27.40 (used 0 times, uses = {})
% 27.22/27.40
% 27.22/27.40 #461: mergings( V1 == V3, V3 == V5, V5 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V20, V20 == V22, V22 == V24, V2 == V4, V4 == V6, V6 == V7, V7 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V19, V19 == V21, V21 == V23, V23 == V25; #437 ), references = 1, size of lhs = 3:
% 27.22/27.40 aNaturalNumber0-{F}(V0), P_sz00-{F}(V0), P_sz10-{F}(V1) | FALSE
% 27.22/27.40 (used 0 times, uses = {})
% 27.22/27.40
% 27.22/27.40 #473: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11; #462 ), references = 1, size of lhs = 2:
% 27.22/27.40 aNaturalNumber0-{F}(V0), P_sz00-{F}(V0) | FALSE
% 27.22/27.40 (used 0 times, uses = {})
% 27.22/27.40
% 27.22/27.40 #476: exists( #41, #474 ), references = 1, size of lhs = 0:
% 27.22/27.40 FALSE | FALSE
% 27.22/27.40 (used 0 times, uses = {})
% 27.22/27.40
% 27.22/27.40 number of learnt formulas = 29
% 27.22/27.40
% 27.22/27.40
% 27.22/27.40 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 27.22/27.40
% 27.22/27.40 randbase = 1
%------------------------------------------------------------------------------