TSTP Solution File: NUM458+2 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : NUM458+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n027.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 0.12s 0.41s
% Output : Refutation 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM458+2 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n027.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 23:24:46 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.41 GeoParameters:
% 0.12/0.41
% 0.12/0.41 tptp_input = 1
% 0.12/0.41 tptp_output = 0
% 0.12/0.41 nonempty = 1
% 0.12/0.41 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.41 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.12/0.41
% 0.12/0.41
% 0.12/0.41 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.41 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.41
% 0.12/0.41 RuleSystem INPUT:
% 0.12/0.41
% 0.12/0.41 Initial Rules:
% 0.12/0.41 #0: input, references = 4, size of lhs = 1:
% 0.12/0.41 P_sz00-{F}(V0) | aNaturalNumber0-{T}(V0)
% 0.12/0.41 (used 0 times, uses = {})
% 0.12/0.41
% 0.12/0.41 #1: input, references = 3, size of lhs = 2:
% 0.12/0.41 P_sz00-{F}(V0), P_sz10-{F}(V1) | aNaturalNumber0-{T}(V1)
% 0.12/0.41 (used 0 times, uses = {})
% 0.12/0.41
% 0.12/0.41 #2: input, references = 3, size of lhs = 2:
% 0.12/0.41 P_sz00-{F}(V0), P_sz10-{F}(V0) | FALSE
% 0.12/0.41 (used 0 times, uses = {})
% 0.12/0.41
% 0.12/0.41 #3: input, references = 3, size of lhs = 5:
% 0.12/0.41 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V3,V2,V4), aNaturalNumber0-{F}(V3) | aNaturalNumber0-{T}(V4)
% 0.12/0.41 (used 0 times, uses = {})
% 0.12/0.41
% 0.12/0.41 #4: input, references = 3, size of lhs = 5:
% 0.12/0.41 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtasdt0-{F}(V3,V2,V4), aNaturalNumber0-{F}(V3) | aNaturalNumber0-{T}(V4)
% 0.12/0.41 (used 0 times, uses = {})
% 0.12/0.41
% 0.12/0.41 #5: input, references = 3, size of lhs = 7:
% 0.12/0.41 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
% 0.12/0.41 (used 0 times, uses = {})
% 0.12/0.41
% 0.12/0.41 #6: input, references = 3, size of lhs = 10:
% 0.12/0.41 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
% 0.12/0.41 (used 0 times, uses = {})
% 0.12/0.41
% 0.12/0.41 #7: input, references = 5, size of lhs = 6:
% 0.12/0.41 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
% 0.12/0.41 (used 0 times, uses = {})
% 0.12/0.41
% 0.12/0.41 #8: input, references = 4, size of lhs = 6:
% 0.12/0.41 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
% 0.12/0.41 (used 0 times, uses = {})
% 0.12/0.41
% 0.12/0.41 #9: input, references = 3, size of lhs = 7:
% 0.12/0.41 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
% 0.12/0.41 (used 0 times, uses = {})
% 0.12/0.41
% 0.12/0.41 #10: input, references = 3, size of lhs = 10:
% 0.12/0.41 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
% 0.12/0.41 (used 0 times, uses = {})
% 0.12/0.41
% 0.12/0.41 #11: input, references = 3, size of lhs = 6:
% 0.12/0.41 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
% 0.12/0.41 (used 0 times, uses = {})
% 0.12/0.41
% 0.12/0.41 #12: input, references = 3, size of lhs = 6:
% 0.12/0.41 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
% 0.12/0.41 (used 0 times, uses = {})
% 0.12/0.41
% 0.12/0.41 #13: input, references = 3, size of lhs = 6:
% 0.12/0.41 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
% 0.12/0.41 (used 0 times, uses = {})
% 0.12/0.41
% 0.12/0.41 #14: input, references = 3, size of lhs = 6:
% 0.12/0.41 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
% 0.12/0.41 (used 0 times, uses = {})
% 0.12/0.41
% 0.12/0.41 #15: input, references = 3, size of lhs = 15:
% 0.12/0.41 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
% 0.12/0.41 (used 0 times, uses = {})
% 0.12/0.41
% 0.12/0.41 #16: input, references = 3, size of lhs = 15:
% 0.12/0.41 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
% 0.12/0.41 (used 0 times, uses = {})
% 0.12/0.41
% 0.12/0.41 #17: input, references = 4, size of lhs = 10:
% 0.12/0.41 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
% 0.12/0.41 (used 0 times, uses = {})
% 0.12/0.41
% 0.12/0.41 #18: input, references = 3, size of lhs = 10:
% 0.12/0.41 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
% 0.12/0.41 (used 0 times, uses = {})
% 0.12/0.41
% 0.12/0.41 #19: input, references = 3, size of lhs = 11:
% 0.12/0.41 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
% 0.12/0.41 (used 0 times, uses = {})
% 0.12/0.41
% 0.12/0.41 #20: input, references = 3, size of lhs = 11:
% 0.12/0.41 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
% 0.12/0.41 (used 0 times, uses = {})
% 0.12/0.41
% 0.12/0.41 #21: input, references = 3, size of lhs = 6:
% 0.12/0.41 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V3,V2,V0), aNaturalNumber0-{F}(V3), V3 == V0 | FALSE
% 0.12/0.41 (used 0 times, uses = {})
% 0.12/0.41
% 0.12/0.41 #22: input, references = 3, size of lhs = 6:
% 0.12/0.41 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V3,V2,V0), aNaturalNumber0-{F}(V3), V2 == V0 | FALSE
% 0.12/0.41 (used 0 times, uses = {})
% 0.12/0.41
% 0.12/0.41 #23: input, references = 3, size of lhs = 7:
% 0.12/0.41 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
% 0.12/0.41 (used 0 times, uses = {})
% 0.12/0.41
% 0.12/0.41 #24: input, references = 3, size of lhs = 5:
% 0.12/0.41 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), sdtlseqdt0-{F}(V3,V2) | pppp0-{T}(V3,V2)
% 0.12/0.41 (used 0 times, uses = {})
% 0.12/0.41
% 0.12/0.41 #25: input, references = 3, size of lhs = 5:
% 0.12/0.41 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), aNaturalNumber0-{F}(V3), pppp0-{F}(V3,V2) | sdtlseqdt0-{T}(V3,V2)
% 0.12/0.41 (used 0 times, uses = {})
% 0.12/0.41
% 0.12/0.41 #26: input, references = 3, size of lhs = 3:
% 0.12/0.41 P_sz00-{F}(V0), P_sz10-{F}(V1), pppp0-{F}(V2,V3) | EXISTS V4: pppp2-{T}(V2,V3,V4)
% 0.12/0.41 (used 0 times, uses = {})
% 0.12/0.41
% 0.12/0.41 #27: input, references = 3, size of lhs = 4:
% 0.12/0.41 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtpldt0-{F}(V2,V4,V3), aNaturalNumber0-{F}(V4) | pppp0-{T}(V2,V3)
% 0.12/0.41 (used 0 times, uses = {})
% 0.12/0.41
% 0.12/0.41 #28: input, references = 3, size of lhs = 3:
% 0.12/0.41 pppp2-{F}(V0,V1,V2), P_sdtpldt0-{F}(V0,V2,V3), V3 == V1 | FALSE
% 0.12/0.41 (used 0 times, uses = {})
% 0.12/0.41
% 0.12/0.41 #29: input, references = 3, size of lhs = 2:
% 0.12/0.41 pppp2-{F}(V0,V1,V2), P_sdtpldt0-{F}(V0,V2,V3) | aNaturalNumber0-{T}(V2)
% 0.12/0.41 (used 0 times, uses = {})
% 0.12/0.41
% 0.12/0.41 #30: input, references = 3, size of lhs = 6:
% 0.12/0.41 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)
% 0.12/0.41 (used 0 times, uses = {})
% 0.12/0.41
% 0.12/0.41 #31: input, references = 3, size of lhs = 8:
% 0.12/0.41 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
% 0.12/0.41 (used 0 times, uses = {})
% 0.12/0.41
% 0.12/0.41 #32: input, references = 3, size of lhs = 4:
% 0.12/0.41 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtpldt0-{F}(V2,V4,V5), pppp1-{F}(V2,V3,V4) | aNaturalNumber0-{T}(V4)
% 0.12/0.41 (used 0 times, uses = {})
% 0.12/0.41
% 0.12/0.41 #33: input, references = 3, size of lhs = 5:
% 0.12/0.41 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtpldt0-{F}(V2,V4,V5), pppp1-{F}(V2,V3,V4), V5 == V3 | FALSE
% 0.12/0.41 (used 0 times, uses = {})
% 0.12/0.41
% 0.12/0.41 #34: input, references = 3, size of lhs = 4:
% 0.12/0.41 P_sz00-{F}(V0), P_sz10-{F}(V1), P_sdtpldt0-{F}(V2,V4,V3), aNaturalNumber0-{F}(V4) | pppp1-{T}(V2,V3,V4)
% 0.12/0.41 (used 0 times, uses = {})
% 0.12/0.41
% 0.12/0.41 #35: input, references = 4, size of lhs = 3:
% 0.12/0.41 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xm-{F}(V2) | aNaturalNumber0-{T}(V2)
% 0.12/0.41 (used 0 times, uses = {})
% 0.12/0.41
% 0.12/0.41 #36: input, references = 4, size of lhs = 5:
% 0.12/0.41 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xm-{F}(V2), P_sdtpldt0-{F}(V2,V3,V2), aNaturalNumber0-{F}(V3) | FALSE
% 0.12/0.41 (used 0 times, uses = {})
% 0.12/0.41
% 0.12/0.41 #37: input, references = 3, size of lhs = 4:
% 0.12/0.41 P_sz00-{F}(V0), P_sz10-{F}(V1), P_xm-{F}(V2), sdtlseqdt0-{F}(V2,V2) | FALSE
% 0.12/0.41 (used 0 times, uses = {})
% 0.12/0.41
% 0.12/0.41 #38: input, references = 4, size of lhs = 0:
% 0.12/0.41 FALSE | EXISTS V0: P_sz00-{T}(V0)
% 0.12/0.41 (used 0 times, uses = {})
% 0.12/0.41
% 0.12/0.41 #39: input, references = 4, size of lhs = 0:
% 0.12/0.41 FALSE | EXISTS V0: P_sz10-{T}(V0)
% 0.12/0.41 (used 0 times, uses = {})
% 0.12/0.41
% 0.12/0.41 #40: input, references = 6, size of lhs = 2:
% 0.12/0.41 #-{F} V0, #-{F} V1 | EXISTS V2: P_sdtpldt0-{T}(V0,V1,V2)
% 0.12/0.41 (used 0 times, uses = {})
% 0.12/0.41
% 0.12/0.41 #41: input, references = 3, size of lhs = 2:
% 0.12/0.41 #-{F} V0, #-{F} V1 | EXISTS V2: P_sdtasdt0-{T}(V0,V1,V2)
% 0.12/0.41 (used 0 times, uses = {})
% 0.12/0.41
% 0.12/0.41 #42: input, references = 3, size of lhs = 2:
% 0.12/0.41 #-{F} V0, #-{F} V1 | EXISTS V2: P_sdtmndt0-{T}(V0,V1,V2)
% 0.12/0.41 (used 0 times, uses = {})
% 0.12/0.41
% 0.12/0.41 #43: input, references = 4, size of lhs = 0:
% 0.12/0.41 FALSE | EXISTS V0: P_xm-{T}(V0)
% 0.12/0.41 (used 0 times, uses = {})
% 0.12/0.41
% 0.12/0.41 number of initial rules = 44
% 0.12/0.41
% 0.12/0.41 Simplifiers:
% 0.12/0.41 #44: unsound, references = 3, size of lhs = 3:
% 0.12/0.41 P_sz00-{F}(V0), P_sz00-{F}(V1), V0 == V1 | FALSE
% 0.12/0.41 (used 0 times, uses = {})
% 0.12/0.41
% 0.12/0.41 #45: unsound, references = 3, size of lhs = 3:
% 0.12/0.41 P_sz10-{F}(V0), P_sz10-{F}(V1), V0 == V1 | FALSE
% 0.12/0.41 (used 0 times, uses = {})
% 0.12/0.41
% 0.12/0.41 #46: unsound, references = 3, size of lhs = 3:
% 0.12/0.41 P_sdtpldt0-{F}(V0,V1,V2), P_sdtpldt0-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.12/0.41 (used 0 times, uses = {})
% 0.12/0.41
% 0.12/0.41 #47: unsound, references = 3, size of lhs = 3:
% 0.12/0.41 P_sdtasdt0-{F}(V0,V1,V2), P_sdtasdt0-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.12/0.41 (used 0 times, uses = {})
% 0.12/0.41
% 0.12/0.41 #48: unsound, references = 3, size of lhs = 3:
% 0.12/0.41 P_sdtmndt0-{F}(V0,V1,V2), P_sdtmndt0-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.12/0.41 (used 0 times, uses = {})
% 0.12/0.41
% 0.12/0.41 #49: unsound, references = 3, size of lhs = 3:
% 0.12/0.41 P_xm-{F}(V0), P_xm-{F}(V1), V0 == V1 | FALSE
% 0.12/0.41 (used 0 times, uses = {})
% 0.12/0.41
% 0.12/0.41 #50: unsound, references = 3, size of lhs = 3:
% 0.12/0.41 pppp2-{F}(V0,V1,V2), pppp2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.12/0.41 (used 0 times, uses = {})
% 0.12/0.41
% 0.12/0.41 number of simplifiers = 7
% 0.12/0.41
% 0.12/0.41 Learnt:
% 0.12/0.41 #53: exists( #40, #7 ), references = 1, size of lhs = 3:
% 0.12/0.41 P_sz00-{F}(V0), aNaturalNumber0-{F}(V0), P_sz10-{F}(V1) | P_sdtpldt0-{T}(V0,V0,V0)
% 0.12/0.41 (used 0 times, uses = {})
% 0.12/0.41
% 0.12/0.41 #56: exists( #40, #17 ), references = 1, size of lhs = 9:
% 0.12/0.41 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
% 0.12/0.41 (used 0 times, uses = {})
% 0.12/0.41
% 0.12/0.41 #57: exists( #40, #8 ), references = 2, size of lhs = 4:
% 0.12/0.41 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2), P_sdtpldt0-{F}(V2,V0,V3) | P_sdtpldt0-{T}(V0,V2,V2)
% 0.12/0.41 (used 0 times, uses = {})
% 0.12/0.41
% 0.12/0.41 #63: mergings( V3 == V4; #60 ), references = 1, size of lhs = 3:
% 0.12/0.41 P_sz00-{F}(V0), P_sz10-{F}(V1), aNaturalNumber0-{F}(V2) | P_sdtpldt0-{T}(V2,V0,V2)
% 0.12/0.41 (used 0 times, uses = {})
% 0.12/0.41
% 0.12/0.41 #72: mergings( V1 == V4, V4 == V6, V2 == V3, V3 == V5, V5 == V7; #66 ), references = 1, size of lhs = 3:
% 0.12/0.41 aNaturalNumber0-{F}(V0), P_sz00-{F}(V0), P_sz10-{F}(V1) | FALSE
% 0.12/0.41 (used 0 times, uses = {})
% 0.12/0.41
% 0.12/0.41 #76: mergings( V1 == V2, V2 == V3; #73 ), references = 1, size of lhs = 2:
% 0.12/0.41 aNaturalNumber0-{F}(V0), P_sz00-{F}(V0) | FALSE
% 0.12/0.41 (used 0 times, uses = {})
% 0.12/0.41
% 0.12/0.41 #79: exists( #38, #77 ), references = 1, size of lhs = 0:
% 0.12/0.41 FALSE | FALSE
% 0.12/0.41 (used 0 times, uses = {})
% 0.12/0.41
% 0.12/0.41 number of learnt formulas = 7
% 0.12/0.41
% 0.12/0.41
% 0.12/0.41 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.41
% 0.12/0.41 randbase = 1
%------------------------------------------------------------------------------