TSTP Solution File: NUM463+1 by Geo-III---2018C
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : NUM463+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n008.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 06:12:32 EDT 2022
% Result : Theorem 5.85s 6.06s
% Output : Refutation 5.85s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : NUM463+1 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.11/0.33 % Computer : n008.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Sat Jul 23 00:24:53 EDT 2022
% 0.11/0.33 % CPUTime :
% 5.85/6.06 GeoParameters:
% 5.85/6.06
% 5.85/6.06 tptp_input = 1
% 5.85/6.06 tptp_output = 0
% 5.85/6.06 nonempty = 1
% 5.85/6.06 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.85/6.06 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 5.85/6.06
% 5.85/6.06
% 5.85/6.06 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.85/6.06 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.85/6.06
% 5.85/6.06 RuleSystem INPUT:
% 5.85/6.06
% 5.85/6.06 Initial Rules:
% 5.85/6.06 #0: input, references = 4, size of lhs = 1:
% 5.85/6.06 P_sz00-{F}(V0) | aNaturalNumber0-{T}(V0)
% 5.85/6.06 (used 0 times, uses = {})
% 5.85/6.06
% 5.85/6.06 #1: input, references = 4, size of lhs = 2:
% 5.85/6.06 P_sz00-{F}(V0), P_sz10-{F}(V1) | aNaturalNumber0-{T}(V1)
% 5.85/6.06 (used 0 times, uses = {})
% 5.85/6.06
% 5.85/6.06 #2: input, references = 3, size of lhs = 2:
% 5.85/6.06 P_sz00-{F}(V0), P_sz10-{F}(V0) | FALSE
% 5.85/6.06 (used 0 times, uses = {})
% 5.85/6.06
% 5.85/6.06 #3: input, references = 4, size of lhs = 5:
% 5.85/6.06 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V3,V2,V4), aNaturalNumber0-{F}(V3) | aNaturalNumber0-{T}(V4)
% 5.85/6.06 (used 0 times, uses = {})
% 5.85/6.06
% 5.85/6.06 #4: input, references = 3, size of lhs = 5:
% 5.85/6.06 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtasdt0-{F}(V3,V2,V4), aNaturalNumber0-{F}(V3) | aNaturalNumber0-{T}(V4)
% 5.85/6.06 (used 0 times, uses = {})
% 5.85/6.06
% 5.85/6.06 #5: input, references = 4, size of lhs = 7:
% 5.85/6.06 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
% 5.85/6.06 (used 0 times, uses = {})
% 5.85/6.06
% 5.85/6.06 #6: input, references = 3, size of lhs = 10:
% 5.85/6.06 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
% 5.85/6.06 (used 0 times, uses = {})
% 5.85/6.06
% 5.85/6.06 #7: input, references = 5, size of lhs = 6:
% 5.85/6.06 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
% 5.85/6.06 (used 0 times, uses = {})
% 5.85/6.06
% 5.85/6.06 #8: input, references = 3, size of lhs = 6:
% 5.85/6.06 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
% 5.85/6.06 (used 0 times, uses = {})
% 5.85/6.06
% 5.85/6.06 #9: input, references = 4, size of lhs = 7:
% 5.85/6.06 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
% 5.85/6.06 (used 0 times, uses = {})
% 5.85/6.06
% 5.85/6.06 #10: input, references = 3, size of lhs = 10:
% 5.85/6.06 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
% 5.85/6.06 (used 0 times, uses = {})
% 5.85/6.06
% 5.85/6.06 #11: input, references = 5, size of lhs = 6:
% 5.85/6.06 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
% 5.85/6.06 (used 0 times, uses = {})
% 5.85/6.06
% 5.85/6.06 #12: input, references = 4, size of lhs = 6:
% 5.85/6.06 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
% 5.85/6.06 (used 0 times, uses = {})
% 5.85/6.06
% 5.85/6.06 #13: input, references = 5, size of lhs = 6:
% 5.85/6.06 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
% 5.85/6.06 (used 0 times, uses = {})
% 5.85/6.06
% 5.85/6.06 #14: input, references = 4, size of lhs = 6:
% 5.85/6.06 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
% 5.85/6.06 (used 0 times, uses = {})
% 5.85/6.06
% 5.85/6.06 #15: input, references = 4, size of lhs = 15:
% 5.85/6.06 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
% 5.85/6.06 (used 0 times, uses = {})
% 5.85/6.06
% 5.85/6.06 #16: input, references = 4, size of lhs = 15:
% 5.85/6.06 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
% 5.85/6.06 (used 0 times, uses = {})
% 5.85/6.06
% 5.85/6.06 #17: input, references = 3, size of lhs = 10:
% 5.85/6.06 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
% 5.85/6.06 (used 0 times, uses = {})
% 5.85/6.06
% 5.85/6.06 #18: input, references = 3, size of lhs = 10:
% 5.85/6.06 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
% 5.85/6.06 (used 0 times, uses = {})
% 5.85/6.06
% 5.85/6.06 #19: input, references = 3, size of lhs = 11:
% 5.85/6.06 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
% 5.85/6.06 (used 0 times, uses = {})
% 5.85/6.06
% 5.85/6.06 #20: input, references = 3, size of lhs = 11:
% 5.85/6.06 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
% 5.85/6.06 (used 0 times, uses = {})
% 5.85/6.06
% 5.85/6.06 #21: input, references = 3, size of lhs = 6:
% 5.85/6.06 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V3,V2,V0), aNaturalNumber0-{F}(V3), V3 == V0 | FALSE
% 5.85/6.06 (used 0 times, uses = {})
% 5.85/6.06
% 5.85/6.06 #22: input, references = 3, size of lhs = 6:
% 5.85/6.06 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V3,V2,V0), aNaturalNumber0-{F}(V3), V2 == V0 | FALSE
% 5.85/6.06 (used 0 times, uses = {})
% 5.85/6.06
% 5.85/6.06 #23: input, references = 3, size of lhs = 7:
% 5.85/6.06 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
% 5.85/6.06 (used 0 times, uses = {})
% 5.85/6.06
% 5.85/6.06 #24: input, references = 3, size of lhs = 5:
% 5.85/6.06 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), sdtlseqdt0-{F}(V3,V2) | pppp0-{T}(V3,V2)
% 5.85/6.06 (used 0 times, uses = {})
% 5.85/6.06
% 5.85/6.06 #25: input, references = 4, size of lhs = 5:
% 5.85/6.06 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), pppp0-{F}(V3,V2) | sdtlseqdt0-{T}(V3,V2)
% 5.85/6.06 (used 0 times, uses = {})
% 5.85/6.06
% 5.85/6.06 #26: input, references = 3, size of lhs = 3:
% 5.85/6.06 P_sz00-{F}(V0), P_sz10-{F}(V1), pppp0-{F}(V2,V3) | EXISTS V4: pppp2-{T}(V2,V3,V4)
% 5.85/6.06 (used 0 times, uses = {})
% 5.85/6.06
% 5.85/6.06 #27: input, references = 4, size of lhs = 4:
% 5.85/6.06 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtpldt0-{F}(V2,V4,V3), aNaturalNumber0-{F}(V4) | pppp0-{T}(V2,V3)
% 5.85/6.06 (used 0 times, uses = {})
% 5.85/6.06
% 5.85/6.06 #28: input, references = 3, size of lhs = 3:
% 5.85/6.06 pppp2-{F}(V0,V1,V2), P_sdtpldt0-{F}(V0,V2,V3), V3 == V1 | FALSE
% 5.85/6.06 (used 0 times, uses = {})
% 5.85/6.06
% 5.85/6.06 #29: input, references = 3, size of lhs = 2:
% 5.85/6.06 pppp2-{F}(V0,V1,V2), P_sdtpldt0-{F}(V0,V2,V3) | aNaturalNumber0-{T}(V2)
% 5.85/6.06 (used 0 times, uses = {})
% 5.85/6.06
% 5.85/6.06 #30: input, references = 3, size of lhs = 6:
% 5.85/6.06 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)
% 5.85/6.06 (used 0 times, uses = {})
% 5.85/6.06
% 5.85/6.06 #31: input, references = 4, size of lhs = 8:
% 5.85/6.06 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
% 5.85/6.06 (used 0 times, uses = {})
% 5.85/6.06
% 5.85/6.06 #32: input, references = 3, size of lhs = 4:
% 5.85/6.06 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtpldt0-{F}(V2,V4,V5), pppp1-{F}(V2,V3,V4) | aNaturalNumber0-{T}(V4)
% 5.85/6.06 (used 0 times, uses = {})
% 5.85/6.06
% 5.85/6.06 #33: input, references = 3, size of lhs = 5:
% 5.85/6.06 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtpldt0-{F}(V2,V4,V5), pppp1-{F}(V2,V3,V4), V5 == V3 | FALSE
% 5.85/6.06 (used 0 times, uses = {})
% 5.85/6.06
% 5.85/6.06 #34: input, references = 3, size of lhs = 4:
% 5.85/6.06 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtpldt0-{F}(V2,V4,V3), aNaturalNumber0-{F}(V4) | pppp1-{T}(V2,V3,V4)
% 5.85/6.06 (used 0 times, uses = {})
% 5.85/6.06
% 5.85/6.06 #35: input, references = 5, size of lhs = 3:
% 5.85/6.06 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2) | sdtlseqdt0-{T}(V2,V2)
% 5.85/6.06 (used 0 times, uses = {})
% 5.85/6.06
% 5.85/6.06 #36: input, references = 3, size of lhs = 7:
% 5.85/6.06 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
% 5.85/6.06 (used 0 times, uses = {})
% 5.85/6.06
% 5.85/6.06 #37: input, references = 3, size of lhs = 7:
% 5.85/6.06 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)
% 5.85/6.06 (used 0 times, uses = {})
% 5.85/6.06
% 5.85/6.06 #38: input, references = 3, size of lhs = 3:
% 5.85/6.06 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V3) | sdtlseqdt0-{T}(V3,V3)
% 5.85/6.06 (used 0 times, uses = {})
% 5.85/6.06
% 5.85/6.06 #39: input, references = 3, size of lhs = 4:
% 5.85/6.06 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3) | sdtlseqdt0-{T}(V3,V2), sdtlseqdt0-{T}(V2,V3)
% 5.85/6.06 (used 0 times, uses = {})
% 5.85/6.06
% 5.85/6.06 #40: input, references = 3, size of lhs = 11:
% 5.85/6.06 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
% 5.85/6.06 (used 0 times, uses = {})
% 5.85/6.06
% 5.85/6.06 #41: input, references = 3, size of lhs = 11:
% 5.85/6.06 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)
% 5.85/6.06 (used 0 times, uses = {})
% 5.85/6.06
% 5.85/6.06 #42: input, references = 3, size of lhs = 11:
% 5.85/6.06 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
% 5.85/6.06 (used 0 times, uses = {})
% 5.85/6.06
% 5.85/6.06 #43: input, references = 3, size of lhs = 11:
% 5.85/6.06 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)
% 5.85/6.06 (used 0 times, uses = {})
% 5.85/6.06
% 5.85/6.06 #44: input, references = 3, size of lhs = 12:
% 5.85/6.06 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
% 5.85/6.06 (used 0 times, uses = {})
% 5.85/6.06
% 5.85/6.06 #45: input, references = 4, size of lhs = 12:
% 5.85/6.06 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)
% 5.85/6.06 (used 0 times, uses = {})
% 5.85/6.06
% 5.85/6.06 #46: input, references = 3, size of lhs = 12:
% 5.85/6.06 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
% 5.85/6.06 (used 0 times, uses = {})
% 5.85/6.06
% 5.85/6.06 #47: input, references = 3, size of lhs = 12:
% 5.85/6.06 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)
% 5.85/6.06 (used 0 times, uses = {})
% 5.85/6.06
% 5.85/6.06 #48: input, references = 4, size of lhs = 5:
% 5.85/6.06 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), V2 == V0, V2 == V1 | sdtlseqdt0-{T}(V1,V2)
% 5.85/6.06 (used 0 times, uses = {})
% 5.85/6.06
% 5.85/6.06 #49: input, references = 6, size of lhs = 4:
% 5.85/6.06 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xm-{F}(V2), P_xn-{F}(V3) | aNaturalNumber0-{T}(V2)
% 5.85/6.06 (used 0 times, uses = {})
% 5.85/6.06
% 5.85/6.06 #50: input, references = 6, size of lhs = 4:
% 5.85/6.06 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xm-{F}(V2), P_xn-{F}(V3) | aNaturalNumber0-{T}(V3)
% 5.85/6.06 (used 0 times, uses = {})
% 5.85/6.06
% 5.85/6.06 #51: input, references = 4, size of lhs = 5:
% 5.85/6.06 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xm-{F}(V0), P_xn-{F}(V3), P_sdtasdt0-{F}(V3,V0,V4) | FALSE
% 5.85/6.06 (used 0 times, uses = {})
% 5.85/6.06
% 5.85/6.06 #52: input, references = 7, size of lhs = 6:
% 5.85/6.06 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xm-{F}(V2), P_xn-{F}(V3), P_sdtasdt0-{F}(V3,V2,V4), sdtlseqdt0-{F}(V3,V4) | FALSE
% 5.85/6.06 (used 0 times, uses = {})
% 5.85/6.06
% 5.85/6.06 #53: input, references = 4, size of lhs = 0:
% 5.85/6.06 FALSE | EXISTS V0: P_sz00-{T}(V0)
% 5.85/6.06 (used 0 times, uses = {})
% 5.85/6.06
% 5.85/6.06 #54: input, references = 4, size of lhs = 0:
% 5.85/6.06 FALSE | EXISTS V0: P_sz10-{T}(V0)
% 5.85/6.06 (used 0 times, uses = {})
% 5.85/6.06
% 5.85/6.06 #55: input, references = 7, size of lhs = 2:
% 5.85/6.06 #-{F} V0, #-{F} V1 | EXISTS V2: P_sdtpldt0-{T}(V0,V1,V2)
% 5.85/6.06 (used 0 times, uses = {})
% 5.85/6.06
% 5.85/6.06 #56: input, references = 11, size of lhs = 2:
% 5.85/6.06 #-{F} V0, #-{F} V1 | EXISTS V2: P_sdtasdt0-{T}(V0,V1,V2)
% 5.85/6.06 (used 0 times, uses = {})
% 5.85/6.06
% 5.85/6.06 #57: input, references = 4, size of lhs = 2:
% 5.85/6.06 #-{F} V0, #-{F} V1 | EXISTS V2: P_sdtmndt0-{T}(V0,V1,V2)
% 5.85/6.06 (used 0 times, uses = {})
% 5.85/6.06
% 5.85/6.06 #58: input, references = 4, size of lhs = 0:
% 5.85/6.06 FALSE | EXISTS V0: P_xm-{T}(V0)
% 5.85/6.06 (used 0 times, uses = {})
% 5.85/6.06
% 5.85/6.06 #59: input, references = 6, size of lhs = 0:
% 5.85/6.06 FALSE | EXISTS V0: P_xn-{T}(V0)
% 5.85/6.06 (used 0 times, uses = {})
% 5.85/6.06
% 5.85/6.06 number of initial rules = 60
% 5.85/6.06
% 5.85/6.06 Simplifiers:
% 5.85/6.06 #60: unsound, references = 3, size of lhs = 3:
% 5.85/6.06 P_sz00-{F}(V0), P_sz00-{F}(V1), V0 == V1 | FALSE
% 5.85/6.06 (used 0 times, uses = {})
% 5.85/6.06
% 5.85/6.06 #61: unsound, references = 3, size of lhs = 3:
% 5.85/6.06 P_sz10-{F}(V0), P_sz10-{F}(V1), V0 == V1 | FALSE
% 5.85/6.06 (used 0 times, uses = {})
% 5.85/6.06
% 5.85/6.06 #62: unsound, references = 3, size of lhs = 3:
% 5.85/6.06 P_sdtpldt0-{F}(V0,V1,V2), P_sdtpldt0-{F}(V0,V1,V5), V2 == V5 | FALSE
% 5.85/6.06 (used 0 times, uses = {})
% 5.85/6.06
% 5.85/6.06 #63: unsound, references = 3, size of lhs = 3:
% 5.85/6.06 P_sdtasdt0-{F}(V0,V1,V2), P_sdtasdt0-{F}(V0,V1,V5), V2 == V5 | FALSE
% 5.85/6.06 (used 0 times, uses = {})
% 5.85/6.06
% 5.85/6.06 #64: unsound, references = 3, size of lhs = 3:
% 5.85/6.06 P_sdtmndt0-{F}(V0,V1,V2), P_sdtmndt0-{F}(V0,V1,V5), V2 == V5 | FALSE
% 5.85/6.06 (used 0 times, uses = {})
% 5.85/6.06
% 5.85/6.06 #65: unsound, references = 3, size of lhs = 3:
% 5.85/6.06 P_xm-{F}(V0), P_xm-{F}(V1), V0 == V1 | FALSE
% 5.85/6.06 (used 0 times, uses = {})
% 5.85/6.06
% 5.85/6.06 #66: unsound, references = 3, size of lhs = 3:
% 5.85/6.06 P_xn-{F}(V0), P_xn-{F}(V1), V0 == V1 | FALSE
% 5.85/6.06 (used 0 times, uses = {})
% 5.85/6.06
% 5.85/6.06 #67: unsound, references = 3, size of lhs = 3:
% 5.85/6.06 pppp2-{F}(V0,V1,V2), pppp2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 5.85/6.06 (used 0 times, uses = {})
% 5.85/6.06
% 5.85/6.06 number of simplifiers = 8
% 5.85/6.06
% 5.85/6.06 Learnt:
% 5.85/6.06 #73: exists( #55, #7 ), references = 1, size of lhs = 3:
% 5.85/6.06 P_sz00-{F}(V0), aNaturalNumber0-{F}(V0), P_sz10-{F}(V1) | P_sdtpldt0-{T}(V0,V0,V0)
% 5.85/6.06 (used 0 times, uses = {})
% 5.85/6.06
% 5.85/6.06 #76: exists( #56, #13 ), references = 1, size of lhs = 3:
% 5.85/6.06 P_sz00-{F}(V0), aNaturalNumber0-{F}(V0), P_sz10-{F}(V1) | P_sdtasdt0-{T}(V0,V0,V0)
% 5.85/6.06 (used 0 times, uses = {})
% 5.85/6.06
% 5.85/6.06 #78: exists( #57, #31 ), references = 1, size of lhs = 6:
% 5.85/6.06 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)
% 5.85/6.06 (used 0 times, uses = {})
% 5.85/6.06
% 5.85/6.06 #81: exists( #56, #11 ), references = 1, size of lhs = 3:
% 5.85/6.06 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V1) | P_sdtasdt0-{T}(V1,V1,V1)
% 5.85/6.06 (used 0 times, uses = {})
% 5.85/6.06
% 5.85/6.06 #85: exists( #55, #7 ), references = 1, size of lhs = 5:
% 5.85/6.06 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V2,V0,V3), V3 == V2 | FALSE
% 5.85/6.06 (used 0 times, uses = {})
% 5.85/6.06
% 5.85/6.06 #86: exists( #55, #5 ), references = 1, size of lhs = 5:
% 5.85/6.06 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)
% 5.85/6.06 (used 0 times, uses = {})
% 5.85/6.06
% 5.85/6.06 #88: exists( #55, #83 ), references = 2, size of lhs = 3:
% 5.85/6.06 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2) | P_sdtpldt0-{T}(V2,V0,V2)
% 5.85/6.06 (used 0 times, uses = {})
% 5.85/6.06
% 5.85/6.06 #97: exists( #56, #13 ), references = 1, size of lhs = 5:
% 5.85/6.06 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtasdt0-{F}(V2,V0,V3), V3 == V0 | FALSE
% 5.85/6.06 (used 0 times, uses = {})
% 5.85/6.06
% 5.85/6.06 #99: mergings( V4 == V0; #96 ), references = 3, size of lhs = 4:
% 5.85/6.06 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtasdt0-{F}(V2,V0,V0) | P_sdtasdt0-{T}(V0,V2,V0)
% 5.85/6.06 (used 0 times, uses = {})
% 5.85/6.06
% 5.85/6.06 #101: exists( #56, #95 ), references = 4, size of lhs = 3:
% 5.85/6.06 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2) | P_sdtasdt0-{T}(V2,V0,V0)
% 5.85/6.06 (used 0 times, uses = {})
% 5.85/6.06
% 5.85/6.06 #113: exists( #56, #11 ), references = 1, size of lhs = 5:
% 5.85/6.06 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtasdt0-{F}(V2,V1,V3), V3 == V2 | FALSE
% 5.85/6.06 (used 0 times, uses = {})
% 5.85/6.06
% 5.85/6.06 #115: mergings( V4 == V1; #110 ), references = 2, size of lhs = 4:
% 5.85/6.06 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtasdt0-{F}(V2,V1,V2) | P_sdtasdt0-{T}(V1,V2,V2)
% 5.85/6.06 (used 0 times, uses = {})
% 5.85/6.06
% 5.85/6.06 #116: exists( #56, #9 ), references = 4, size of lhs = 5:
% 5.85/6.06 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)
% 5.85/6.06 (used 0 times, uses = {})
% 5.85/6.06
% 5.85/6.06 #118: exists( #56, #112 ), references = 2, size of lhs = 3:
% 5.85/6.06 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2) | P_sdtasdt0-{T}(V2,V1,V2)
% 5.85/6.06 (used 0 times, uses = {})
% 5.85/6.06
% 5.85/6.06 #130: mergings( V1 == V4, V4 == V6, V6 == V8, V2 == V5, V5 == V7, V7 == V9, V3 == V9; #122 ), references = 2, size of lhs = 3:
% 5.85/6.06 P_xm-{F}(V0), P_sz10-{F}(V0), P_sz00-{F}(V1) | FALSE
% 5.85/6.06 (used 0 times, uses = {})
% 5.85/6.06
% 5.85/6.06 #138: mergings( V1 == V5, V2 == V4, V4 == V6, V3 == V5; #133 ), references = 1, size of lhs = 3:
% 5.85/6.06 P_sz00-{F}(V0), P_xm-{F}(V0), P_sz10-{F}(V1) | FALSE
% 5.85/6.06 (used 0 times, uses = {})
% 5.85/6.06
% 5.85/6.06 #163: mergings( V3 == V5, V4 == V6; #159 ), references = 1, size of lhs = 13:
% 5.85/6.06 aNaturalNumber0-{F}(V0), P_sz00-{F}(V1), P_sz10-{F}(V2), aNaturalNumber0-{F}(V3), aNaturalNumber0-{F}(V4), P_sdtpldt0-{F}(V4,V3,V0), aNaturalNumber0-{F}(V5), P_sdtasdt0-{F}(V5,V4,V6), P_sdtasdt0-{F}(V5,V3,V7), P_sdtpldt0-{F}(V6,V7,V8), P_sdtasdt0-{F}(V4,V5,V9), P_sdtasdt0-{F}(V3,V5,V10), P_sdtpldt0-{F}(V9,V10,V11) | P_sdtasdt0-{T}(V5,V0,V8)
% 5.85/6.06 (used 0 times, uses = {})
% 5.85/6.06
% 5.85/6.06 #166: mergings( V3 == V5, V4 == V6; #160 ), references = 1, size of lhs = 13:
% 5.85/6.06 aNaturalNumber0-{F}(V0), P_sz00-{F}(V1), P_sz10-{F}(V2), aNaturalNumber0-{F}(V3), aNaturalNumber0-{F}(V4), P_sdtpldt0-{F}(V4,V3,V0), aNaturalNumber0-{F}(V5), P_sdtasdt0-{F}(V5,V4,V6), P_sdtasdt0-{F}(V5,V3,V7), P_sdtpldt0-{F}(V6,V7,V8), P_sdtasdt0-{F}(V4,V5,V9), P_sdtasdt0-{F}(V3,V5,V10), P_sdtpldt0-{F}(V9,V10,V11) | P_sdtasdt0-{T}(V5,V0,V11)
% 5.85/6.06 (used 0 times, uses = {})
% 5.85/6.06
% 5.85/6.06 #182: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V12, V12 == V16, V4 == V6, V6 == V8, V8 == V10, V10 == V13, V13 == V17; #171 ), references = 2, size of lhs = 14:
% 5.85/6.06 aNaturalNumber0-{F}(V0), aNaturalNumber0-{F}(V1), P_xm-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), P_sdtpldt0-{F}(V3,V2,V1), aNaturalNumber0-{F}(V4), P_xn-{F}(V4), P_sdtasdt0-{F}(V4,V3,V4), P_sdtasdt0-{F}(V4,V2,V0), P_sdtasdt0-{F}(V3,V4,V4), P_sdtasdt0-{F}(V2,V4,V0), P_sz00-{F}(V5), P_sz10-{F}(V6) | FALSE
% 5.85/6.06 (used 0 times, uses = {})
% 5.85/6.06
% 5.85/6.06 #199: mergings( V3 == V5, V5 == V9, V4 == V6, V6 == V10; #194 ), references = 1, size of lhs = 12:
% 5.85/6.06 aNaturalNumber0-{F}(V0), P_xm-{F}(V0), aNaturalNumber0-{F}(V1), V1 == V0, sdtlseqdt0-{F}(V1,V0), aNaturalNumber0-{F}(V2), P_sdtasdt0-{F}(V2,V1,V2), P_xn-{F}(V2), P_sdtasdt0-{F}(V1,V2,V3), P_sz00-{F}(V4), V2 == V4, P_sz10-{F}(V5) | FALSE
% 5.85/6.06 (used 0 times, uses = {})
% 5.85/6.06
% 5.85/6.06 #219: mergings( V1 == V3, V3 == V6, V6 == V7, V7 == V8, V8 == V10, V10 == V12, V12 == V15, V2 == V4, V4 == V9, V9 == V11, V11 == V13, V13 == V16, V5 == V14; #205 ), references = 1, size of lhs = 6:
% 5.85/6.06 aNaturalNumber0-{F}(V0), P_sz10-{F}(V0), P_xm-{F}(V1), V0 == V1, P_sz00-{F}(V2), V1 == V2 | P_xn-{T}(V2)
% 5.85/6.06 (used 0 times, uses = {})
% 5.85/6.06
% 5.85/6.06 #249: mergings( V1 == V3, V3 == V5, V5 == V6, V6 == V7, V7 == V9, V9 == V12, V12 == V14, V14 == V17, V17 == V19, V2 == V4, V4 == V8, V8 == V10, V10 == V11, V11 == V13, V13 == V15, V15 == V16, V16 == V18, V18 == V20; #229 ), references = 1, size of lhs = 4:
% 5.85/6.06 aNaturalNumber0-{F}(V0), P_sz10-{F}(V0), P_sz00-{F}(V1), sdtlseqdt0-{F}(V1,V1) | P_xm-{T}(V1), P_xm-{T}(V0)
% 5.85/6.06 (used 0 times, uses = {})
% 5.85/6.06
% 5.85/6.06 #271: mergings( V1 == V3, V3 == V5, V5 == V6, V6 == V7, V7 == V9, V9 == V12, V12 == V14, V14 == V16, V16 == V19, V19 == V22, V2 == V4, V4 == V8, V8 == V10, V10 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V18, V18 == V20, V20 == V23, V21 == V22; #230 ), references = 1, size of lhs = 5:
% 5.85/6.06 aNaturalNumber0-{F}(V0), P_sz10-{F}(V0), aNaturalNumber0-{F}(V1), P_sdtasdt0-{F}(V1,V1,V1), P_sz00-{F}(V1) | P_xm-{T}(V1), P_xm-{T}(V0)
% 5.85/6.06 (used 0 times, uses = {})
% 5.85/6.06
% 5.85/6.06 #292: mergings( V0 == V2, V2 == V4, V4 == V5, V5 == V8, V8 == V11, V11 == V13, V13 == V16, V16 == V18, V18 == V6, V1 == V3, V3 == V7, V7 == V9, V9 == V10, V10 == V12, V12 == V14, V14 == V15, V15 == V17, V17 == V19, V19 == V20; #272 ), references = 1, size of lhs = 4:
% 5.85/6.06 aNaturalNumber0-{F}(V0), P_sz10-{F}(V0), P_sz00-{F}(V1), sdtlseqdt0-{F}(V1,V1) | P_xm-{T}(V0)
% 5.85/6.06 (used 0 times, uses = {})
% 5.85/6.06
% 5.85/6.06 #309: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13; #296 ), references = 1, size of lhs = 2:
% 5.85/6.06 aNaturalNumber0-{F}(V0), P_sz00-{F}(V0) | FALSE
% 5.85/6.06 (used 0 times, uses = {})
% 5.85/6.06
% 5.85/6.06 #312: exists( #53, #310 ), references = 1, size of lhs = 0:
% 5.85/6.06 FALSE | FALSE
% 5.85/6.06 (used 0 times, uses = {})
% 5.85/6.06
% 5.85/6.06 number of learnt formulas = 26
% 5.85/6.06
% 5.85/6.06
% 5.85/6.06 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.85/6.06
% 5.85/6.06 randbase = 1
%------------------------------------------------------------------------------