TSTP Solution File: RNG050+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : RNG050+1 : 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 06:15:00 EDT 2022
% Result : Theorem 0.18s 0.45s
% Output : Refutation 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : RNG050+1 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n014.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 07:43:12 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.45 GeoParameters:
% 0.18/0.45
% 0.18/0.45 tptp_input = 1
% 0.18/0.45 tptp_output = 0
% 0.18/0.45 nonempty = 1
% 0.18/0.45 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.45 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.18/0.45
% 0.18/0.45
% 0.18/0.45 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.45 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.45
% 0.18/0.45 RuleSystem INPUT:
% 0.18/0.45
% 0.18/0.45 Initial Rules:
% 0.18/0.45 #0: input, references = 3, size of lhs = 1:
% 0.18/0.45 P_sz00-{F}(V0) | aNaturalNumber0-{T}(V0)
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #1: input, references = 3, size of lhs = 3:
% 0.18/0.45 P_sz00-{F}(V0), P_szszuzczcdt0-{F}(V1,V2), aNaturalNumber0-{F}(V1) | aNaturalNumber0-{T}(V2)
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #2: input, references = 3, size of lhs = 3:
% 0.18/0.45 P_sz00-{F}(V0), P_szszuzczcdt0-{F}(V1,V0), aNaturalNumber0-{F}(V1) | FALSE
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #3: input, references = 3, size of lhs = 3:
% 0.18/0.45 P_sz00-{F}(V0), aNaturalNumber0-{F}(V1), V1 == V0 | EXISTS V2: pppp1-{T}(V1,V2)
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #4: input, references = 3, size of lhs = 3:
% 0.18/0.45 pppp1-{F}(V0,V1), P_szszuzczcdt0-{F}(V1,V2), V0 == V2 | FALSE
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #5: input, references = 3, size of lhs = 2:
% 0.18/0.45 pppp1-{F}(V0,V1), P_szszuzczcdt0-{F}(V1,V2) | aNaturalNumber0-{T}(V1)
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #6: input, references = 3, size of lhs = 6:
% 0.18/0.45 P_sz00-{F}(V0), P_szszuzczcdt0-{F}(V1,V2), aNaturalNumber0-{F}(V1), P_szszuzczcdt0-{F}(V3,V2), aNaturalNumber0-{F}(V3), V3 == V1 | FALSE
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #7: input, references = 3, size of lhs = 3:
% 0.18/0.45 P_sz00-{F}(V0), P_szszuzczcdt0-{F}(V1,V2), aNaturalNumber0-{F}(V1) | iLess0-{T}(V1,V2)
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #8: input, references = 4, size of lhs = 2:
% 0.18/0.45 P_sz00-{F}(V0), P_sz0z00-{F}(V1) | aScalar0-{T}(V1)
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #9: input, references = 3, size of lhs = 5:
% 0.18/0.45 P_sz00-{F}(V0), P_sz0z00-{F}(V1), aScalar0-{F}(V2), P_sdtpldt0-{F}(V3,V2,V4), aScalar0-{F}(V3) | aScalar0-{T}(V4)
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #10: input, references = 3, size of lhs = 5:
% 0.18/0.45 P_sz00-{F}(V0), P_sz0z00-{F}(V1), aScalar0-{F}(V2), P_sdtasdt0-{F}(V3,V2,V4), aScalar0-{F}(V3) | aScalar0-{T}(V4)
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #11: input, references = 3, size of lhs = 4:
% 0.18/0.45 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_smndt0-{F}(V2,V3), aScalar0-{F}(V2) | aScalar0-{T}(V3)
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #12: input, references = 3, size of lhs = 12:
% 0.18/0.45 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V2), P_sdtpldt0-{F}(V3,V1,V4), P_sdtpldt0-{F}(V1,V3,V5), P_sdtasdt0-{F}(V3,V1,V6), P_sdtasdt0-{F}(V1,V3,V7), P_smndt0-{F}(V3,V8), P_sdtpldt0-{F}(V3,V8,V9), P_sdtpldt0-{F}(V8,V3,V10), P_smndt0-{F}(V8,V11), aScalar0-{F}(V3) | pppp2-{T}(V3,V1,V4,V5,V6,V7,V9,V10,V11,V2)
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #13: input, references = 3, size of lhs = 2:
% 0.18/0.45 pppp2-{F}(V0,V1,V2,V3,V4,V5,V6,V7,V8,V9), V9 == V1 | FALSE
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #14: input, references = 3, size of lhs = 2:
% 0.18/0.45 pppp2-{F}(V0,V1,V2,V3,V4,V5,V6,V7,V8,V9), V8 == V0 | FALSE
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #15: input, references = 3, size of lhs = 2:
% 0.18/0.45 pppp2-{F}(V0,V1,V2,V3,V4,V5,V6,V7,V8,V9), V7 == V1 | FALSE
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #16: input, references = 3, size of lhs = 2:
% 0.18/0.45 pppp2-{F}(V0,V1,V2,V3,V4,V5,V6,V7,V8,V9), V6 == V1 | FALSE
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #17: input, references = 3, size of lhs = 2:
% 0.18/0.45 pppp2-{F}(V0,V1,V2,V3,V4,V5,V6,V7,V8,V9), V5 == V1 | FALSE
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #18: input, references = 3, size of lhs = 2:
% 0.18/0.45 pppp2-{F}(V0,V1,V2,V3,V4,V5,V6,V7,V8,V9), V4 == V1 | FALSE
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #19: input, references = 3, size of lhs = 2:
% 0.18/0.45 pppp2-{F}(V0,V1,V2,V3,V4,V5,V6,V7,V8,V9), V3 == V0 | FALSE
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #20: input, references = 3, size of lhs = 2:
% 0.18/0.45 pppp2-{F}(V0,V1,V2,V3,V4,V5,V6,V7,V8,V9), V2 == V0 | FALSE
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #21: input, references = 3, size of lhs = 17:
% 0.18/0.45 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V2), aScalar0-{F}(V3), P_sdtpldt0-{F}(V4,V3,V5), P_sdtasdt0-{F}(V4,V3,V6), aScalar0-{F}(V4), P_sdtpldt0-{F}(V7,V4,V8), P_sdtpldt0-{F}(V8,V3,V9), P_sdtpldt0-{F}(V7,V5,V10), P_sdtpldt0-{F}(V4,V7,V11), P_sdtasdt0-{F}(V7,V4,V12), P_sdtasdt0-{F}(V12,V3,V13), P_sdtasdt0-{F}(V7,V6,V14), P_sdtasdt0-{F}(V4,V7,V15), aScalar0-{F}(V7), V9 == V10 | FALSE
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #22: input, references = 3, size of lhs = 17:
% 0.18/0.45 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V2), aScalar0-{F}(V3), P_sdtpldt0-{F}(V4,V3,V5), P_sdtasdt0-{F}(V4,V3,V6), aScalar0-{F}(V4), P_sdtpldt0-{F}(V7,V4,V8), P_sdtpldt0-{F}(V8,V3,V9), P_sdtpldt0-{F}(V7,V5,V10), P_sdtpldt0-{F}(V4,V7,V11), P_sdtasdt0-{F}(V7,V4,V12), P_sdtasdt0-{F}(V12,V3,V13), P_sdtasdt0-{F}(V7,V6,V14), P_sdtasdt0-{F}(V4,V7,V15), aScalar0-{F}(V7), V8 == V11 | FALSE
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #23: input, references = 3, size of lhs = 17:
% 0.18/0.45 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V2), aScalar0-{F}(V3), P_sdtpldt0-{F}(V4,V3,V5), P_sdtasdt0-{F}(V4,V3,V6), aScalar0-{F}(V4), P_sdtpldt0-{F}(V7,V4,V8), P_sdtpldt0-{F}(V8,V3,V9), P_sdtpldt0-{F}(V7,V5,V10), P_sdtpldt0-{F}(V4,V7,V11), P_sdtasdt0-{F}(V7,V4,V12), P_sdtasdt0-{F}(V12,V3,V13), P_sdtasdt0-{F}(V7,V6,V14), P_sdtasdt0-{F}(V4,V7,V15), aScalar0-{F}(V7), V13 == V14 | FALSE
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #24: input, references = 3, size of lhs = 17:
% 0.18/0.45 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V2), aScalar0-{F}(V3), P_sdtpldt0-{F}(V4,V3,V5), P_sdtasdt0-{F}(V4,V3,V6), aScalar0-{F}(V4), P_sdtpldt0-{F}(V7,V4,V8), P_sdtpldt0-{F}(V8,V3,V9), P_sdtpldt0-{F}(V7,V5,V10), P_sdtpldt0-{F}(V4,V7,V11), P_sdtasdt0-{F}(V7,V4,V12), P_sdtasdt0-{F}(V12,V3,V13), P_sdtasdt0-{F}(V7,V6,V14), P_sdtasdt0-{F}(V4,V7,V15), aScalar0-{F}(V7), V12 == V15 | FALSE
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #25: input, references = 3, size of lhs = 16:
% 0.18/0.45 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V2), aScalar0-{F}(V3), P_sdtpldt0-{F}(V4,V3,V5), P_sdtasdt0-{F}(V4,V3,V6), aScalar0-{F}(V4), P_sdtasdt0-{F}(V7,V5,V8), P_sdtasdt0-{F}(V7,V4,V9), P_sdtasdt0-{F}(V7,V3,V10), P_sdtpldt0-{F}(V9,V10,V11), P_sdtpldt0-{F}(V7,V4,V12), P_sdtasdt0-{F}(V12,V3,V13), P_sdtpldt0-{F}(V10,V6,V14), aScalar0-{F}(V7), V8 == V11 | FALSE
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #26: input, references = 3, size of lhs = 16:
% 0.18/0.45 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V2), aScalar0-{F}(V3), P_sdtpldt0-{F}(V4,V3,V5), P_sdtasdt0-{F}(V4,V3,V6), aScalar0-{F}(V4), P_sdtasdt0-{F}(V7,V5,V8), P_sdtasdt0-{F}(V7,V4,V9), P_sdtasdt0-{F}(V7,V3,V10), P_sdtpldt0-{F}(V9,V10,V11), P_sdtpldt0-{F}(V7,V4,V12), P_sdtasdt0-{F}(V12,V3,V13), P_sdtpldt0-{F}(V10,V6,V14), aScalar0-{F}(V7), V13 == V14 | FALSE
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #27: input, references = 3, size of lhs = 18:
% 0.18/0.45 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V2), aScalar0-{F}(V3), P_sdtpldt0-{F}(V4,V3,V5), aScalar0-{F}(V4), P_sdtasdt0-{F}(V6,V4,V7), P_sdtasdt0-{F}(V6,V3,V8), P_sdtpldt0-{F}(V7,V8,V9), aScalar0-{F}(V6), P_sdtpldt0-{F}(V10,V6,V11), P_sdtasdt0-{F}(V11,V5,V12), P_sdtasdt0-{F}(V10,V4,V13), P_sdtasdt0-{F}(V10,V3,V14), P_sdtpldt0-{F}(V13,V14,V15), P_sdtpldt0-{F}(V15,V9,V16), aScalar0-{F}(V10), V12 == V16 | FALSE
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #28: input, references = 3, size of lhs = 12:
% 0.18/0.45 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V2), P_smndt0-{F}(V3,V4), aScalar0-{F}(V3), P_sdtasdt0-{F}(V5,V4,V6), P_sdtasdt0-{F}(V5,V3,V7), P_smndt0-{F}(V7,V8), P_smndt0-{F}(V5,V9), P_sdtasdt0-{F}(V9,V3,V10), aScalar0-{F}(V5), V6 == V8 | FALSE
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #29: input, references = 3, size of lhs = 12:
% 0.18/0.45 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V2), P_smndt0-{F}(V3,V4), aScalar0-{F}(V3), P_sdtasdt0-{F}(V5,V4,V6), P_sdtasdt0-{F}(V5,V3,V7), P_smndt0-{F}(V7,V8), P_smndt0-{F}(V5,V9), P_sdtasdt0-{F}(V9,V3,V10), aScalar0-{F}(V5), V10 == V8 | FALSE
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #30: input, references = 3, size of lhs = 10:
% 0.18/0.45 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V2), P_smndt0-{F}(V3,V4), aScalar0-{F}(V3), P_smndt0-{F}(V5,V6), P_sdtasdt0-{F}(V6,V4,V7), P_sdtasdt0-{F}(V5,V3,V8), aScalar0-{F}(V5), V7 == V8 | FALSE
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #31: input, references = 4, size of lhs = 4:
% 0.18/0.45 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V2), aScalar0-{F}(V3) | sdtlseqdt0-{T}(V3,V3)
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #32: input, references = 3, size of lhs = 8:
% 0.18/0.45 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V2), aScalar0-{F}(V3), aScalar0-{F}(V4), sdtlseqdt0-{F}(V4,V3), sdtlseqdt0-{F}(V3,V4), V4 == V3 | FALSE
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #33: input, references = 3, size of lhs = 8:
% 0.18/0.45 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V2), aScalar0-{F}(V3), aScalar0-{F}(V4), sdtlseqdt0-{F}(V4,V3), aScalar0-{F}(V5), sdtlseqdt0-{F}(V5,V4) | sdtlseqdt0-{T}(V5,V3)
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #34: input, references = 3, size of lhs = 11:
% 0.18/0.45 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V2), aScalar0-{F}(V3), aScalar0-{F}(V4), sdtlseqdt0-{F}(V4,V3), P_sdtpldt0-{F}(V5,V3,V6), aScalar0-{F}(V5), P_sdtpldt0-{F}(V7,V4,V8), aScalar0-{F}(V7), sdtlseqdt0-{F}(V7,V5) | sdtlseqdt0-{T}(V8,V6)
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #35: input, references = 3, size of lhs = 12:
% 0.18/0.45 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V2), aScalar0-{F}(V3), sdtlseqdt0-{F}(V1,V3), aScalar0-{F}(V4), sdtlseqdt0-{F}(V3,V4), P_sdtasdt0-{F}(V5,V4,V6), aScalar0-{F}(V5), P_sdtasdt0-{F}(V7,V3,V8), aScalar0-{F}(V7), sdtlseqdt0-{F}(V7,V5) | sdtlseqdt0-{T}(V8,V6)
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #36: input, references = 3, size of lhs = 5:
% 0.18/0.45 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V2), aScalar0-{F}(V3), aScalar0-{F}(V4) | sdtlseqdt0-{T}(V4,V3), sdtlseqdt0-{T}(V3,V4)
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #37: input, references = 3, size of lhs = 9:
% 0.18/0.45 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V2), aScalar0-{F}(V3), sdtlseqdt0-{F}(V1,V3), P_sdtpldt0-{F}(V4,V3,V5), P_sdtasdt0-{F}(V4,V3,V6), aScalar0-{F}(V4), sdtlseqdt0-{F}(V1,V4) | sdtlseqdt0-{T}(V1,V5)
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #38: input, references = 3, size of lhs = 9:
% 0.18/0.45 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V2), aScalar0-{F}(V3), sdtlseqdt0-{F}(V1,V3), P_sdtpldt0-{F}(V4,V3,V5), P_sdtasdt0-{F}(V4,V3,V6), aScalar0-{F}(V4), sdtlseqdt0-{F}(V1,V4) | sdtlseqdt0-{T}(V1,V6)
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #39: input, references = 3, size of lhs = 5:
% 0.18/0.45 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V2), P_sdtasdt0-{F}(V3,V3,V4), aScalar0-{F}(V3) | sdtlseqdt0-{T}(V1,V4)
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #40: input, references = 3, size of lhs = 10:
% 0.18/0.45 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V2), P_sdtasdt0-{F}(V3,V3,V4), aScalar0-{F}(V3), sdtlseqdt0-{F}(V1,V3), P_sdtasdt0-{F}(V5,V5,V4), aScalar0-{F}(V5), sdtlseqdt0-{F}(V1,V5), V5 == V3 | FALSE
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #41: input, references = 3, size of lhs = 5:
% 0.18/0.45 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V2), P_aDimensionOf0-{F}(V3,V4), aVector0-{F}(V3) | aNaturalNumber0-{T}(V4)
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #42: input, references = 3, size of lhs = 6:
% 0.18/0.45 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V2), aNaturalNumber0-{F}(V3), P_sdtlbdtrb0-{F}(V4,V3,V5), aVector0-{F}(V4) | aScalar0-{T}(V5)
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #43: input, references = 3, size of lhs = 7:
% 0.18/0.45 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V2), P_aDimensionOf0-{F}(V3,V4), P_sziznziztdt0-{F}(V3,V5), aVector0-{F}(V3), V4 == V0 | pppp0-{T}(V3,V5)
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #44: input, references = 3, size of lhs = 9:
% 0.18/0.45 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V2), P_aDimensionOf0-{F}(V3,V4), P_sziznziztdt0-{F}(V3,V5), aVector0-{F}(V3), pppp0-{F}(V3,V6), V4 == V0, V6 == V5 | FALSE
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #45: input, references = 3, size of lhs = 7:
% 0.18/0.45 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V2), P_aDimensionOf0-{F}(V4,V5), P_szszuzczcdt0-{F}(V5,V6), P_aDimensionOf0-{F}(V3,V7), pppp0-{F}(V3,V4) | aVector0-{T}(V4)
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #46: input, references = 3, size of lhs = 8:
% 0.18/0.45 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V2), P_aDimensionOf0-{F}(V4,V5), P_szszuzczcdt0-{F}(V5,V6), P_aDimensionOf0-{F}(V3,V7), pppp0-{F}(V3,V4), V6 == V7 | FALSE
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #47: input, references = 3, size of lhs = 11:
% 0.18/0.45 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V2), P_aDimensionOf0-{F}(V4,V5), P_szszuzczcdt0-{F}(V5,V6), P_aDimensionOf0-{F}(V3,V7), pppp0-{F}(V3,V4), P_sdtlbdtrb0-{F}(V4,V8,V9), P_sdtlbdtrb0-{F}(V3,V8,V10), aNaturalNumber0-{F}(V8), V9 == V10 | FALSE
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #48: input, references = 3, size of lhs = 7:
% 0.18/0.45 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V2), P_aDimensionOf0-{F}(V4,V5), P_szszuzczcdt0-{F}(V5,V7), P_aDimensionOf0-{F}(V3,V7), aVector0-{F}(V4) | pppp0-{T}(V3,V4), pppp4-{T}(V3,V4)
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #49: input, references = 3, size of lhs = 1:
% 0.18/0.45 pppp4-{F}(V0,V1) | EXISTS V2: pppp3-{T}(V0,V1,V2)
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #50: input, references = 3, size of lhs = 3:
% 0.18/0.45 pppp3-{F}(V0,V1,V2), P_sdtlbdtrb0-{F}(V1,V2,V4), P_sdtlbdtrb0-{F}(V0,V2,V4) | FALSE
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #51: input, references = 3, size of lhs = 3:
% 0.18/0.45 pppp3-{F}(V0,V1,V2), P_sdtlbdtrb0-{F}(V1,V2,V3), P_sdtlbdtrb0-{F}(V0,V2,V4) | aNaturalNumber0-{T}(V2)
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #52: input, references = 3, size of lhs = 13:
% 0.18/0.45 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V2), P_aDimensionOf0-{F}(V3,V4), P_sziznziztdt0-{F}(V3,V5), P_aDimensionOf0-{F}(V5,V6), aVector0-{F}(V3), P_aDimensionOf0-{F}(V7,V4), P_sziznziztdt0-{F}(V7,V9), P_aDimensionOf0-{F}(V9,V10), aVector0-{F}(V7), V4 == V0, V10 == V6 | FALSE
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #53: input, references = 3, size of lhs = 8:
% 0.18/0.45 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V2), P_aDimensionOf0-{F}(V3,V4), aVector0-{F}(V3), P_aDimensionOf0-{F}(V5,V4), P_sdtasasdt0-{F}(V5,V3,V7), aVector0-{F}(V5) | aScalar0-{T}(V7)
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #54: input, references = 4, size of lhs = 9:
% 0.18/0.45 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V2), P_aDimensionOf0-{F}(V3,V0), aVector0-{F}(V3), P_aDimensionOf0-{F}(V5,V0), P_sdtasasdt0-{F}(V5,V3,V7), aVector0-{F}(V5), V7 == V1 | FALSE
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #55: input, references = 3, size of lhs = 17:
% 0.18/0.45 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V2), P_aDimensionOf0-{F}(V3,V4), P_sziznziztdt0-{F}(V3,V5), P_sdtlbdtrb0-{F}(V3,V4,V6), aVector0-{F}(V3), P_aDimensionOf0-{F}(V7,V4), P_sdtasasdt0-{F}(V7,V3,V9), P_sziznziztdt0-{F}(V7,V10), P_sdtasasdt0-{F}(V10,V5,V11), P_sdtlbdtrb0-{F}(V7,V4,V12), P_sdtasdt0-{F}(V12,V6,V13), P_sdtpldt0-{F}(V11,V13,V14), aVector0-{F}(V7), V4 == V0, V9 == V14 | FALSE
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #56: input, references = 4, size of lhs = 4:
% 0.18/0.45 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V2), P_xs-{F}(V3) | aVector0-{T}(V3)
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #57: input, references = 3, size of lhs = 9:
% 0.18/0.45 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V2), P_xs-{F}(V3), P_aDimensionOf0-{F}(V3,V4), P_aDimensionOf0-{F}(V5,V6), P_sdtasasdt0-{F}(V5,V5,V7), aVector0-{F}(V5), iLess0-{F}(V6,V4) | sdtlseqdt0-{T}(V1,V7)
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #58: input, references = 4, size of lhs = 7:
% 0.18/0.45 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V2), P_xs-{F}(V3), P_aDimensionOf0-{F}(V3,V4), P_sdtasasdt0-{F}(V3,V3,V5), V4 == V0 | sdtlseqdt0-{T}(V1,V5)
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #59: input, references = 5, size of lhs = 7:
% 0.18/0.45 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V2), P_xs-{F}(V3), P_aDimensionOf0-{F}(V3,V4), P_sdtasasdt0-{F}(V3,V3,V5), sdtlseqdt0-{F}(V1,V5) | FALSE
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #60: input, references = 4, size of lhs = 0:
% 0.18/0.45 FALSE | EXISTS V0: P_sz00-{T}(V0)
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #61: input, references = 3, size of lhs = 1:
% 0.18/0.45 #-{F} V0 | EXISTS V1: P_szszuzczcdt0-{T}(V0,V1)
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #62: input, references = 4, size of lhs = 0:
% 0.18/0.45 FALSE | EXISTS V0: P_sz0z00-{T}(V0)
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #63: input, references = 3, size of lhs = 2:
% 0.18/0.45 #-{F} V0, #-{F} V1 | EXISTS V2: P_sdtpldt0-{T}(V0,V1,V2)
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #64: input, references = 3, size of lhs = 2:
% 0.18/0.45 #-{F} V0, #-{F} V1 | EXISTS V2: P_sdtasdt0-{T}(V0,V1,V2)
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #65: input, references = 6, size of lhs = 1:
% 0.18/0.45 #-{F} V0 | EXISTS V1: P_smndt0-{T}(V0,V1)
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #66: input, references = 4, size of lhs = 1:
% 0.18/0.45 #-{F} V0 | EXISTS V1: P_aDimensionOf0-{T}(V0,V1)
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #67: input, references = 3, size of lhs = 2:
% 0.18/0.45 #-{F} V0, #-{F} V1 | EXISTS V2: P_sdtlbdtrb0-{T}(V0,V1,V2)
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #68: input, references = 3, size of lhs = 1:
% 0.18/0.45 #-{F} V0 | EXISTS V1: P_sziznziztdt0-{T}(V0,V1)
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #69: input, references = 5, size of lhs = 2:
% 0.18/0.45 #-{F} V0, #-{F} V1 | EXISTS V2: P_sdtasasdt0-{T}(V0,V1,V2)
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #70: input, references = 4, size of lhs = 0:
% 0.18/0.45 FALSE | EXISTS V0: P_xs-{T}(V0)
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 number of initial rules = 71
% 0.18/0.45
% 0.18/0.45 Simplifiers:
% 0.18/0.45 #71: unsound, references = 3, size of lhs = 3:
% 0.18/0.45 iLess0-{F}(V0,V1), iLess0-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #72: unsound, references = 3, size of lhs = 3:
% 0.18/0.45 P_sz00-{F}(V0), P_sz00-{F}(V1), V0 == V1 | FALSE
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #73: unsound, references = 3, size of lhs = 3:
% 0.18/0.45 P_szszuzczcdt0-{F}(V0,V1), P_szszuzczcdt0-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #74: unsound, references = 3, size of lhs = 3:
% 0.18/0.45 P_sz0z00-{F}(V0), P_sz0z00-{F}(V1), V0 == V1 | FALSE
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #75: unsound, references = 3, size of lhs = 3:
% 0.18/0.45 P_sdtpldt0-{F}(V0,V1,V2), P_sdtpldt0-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #76: unsound, references = 3, size of lhs = 3:
% 0.18/0.45 P_sdtasdt0-{F}(V0,V1,V2), P_sdtasdt0-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #77: unsound, references = 3, size of lhs = 3:
% 0.18/0.45 P_smndt0-{F}(V0,V1), P_smndt0-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #78: unsound, references = 3, size of lhs = 3:
% 0.18/0.45 P_aDimensionOf0-{F}(V0,V1), P_aDimensionOf0-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #79: unsound, references = 3, size of lhs = 3:
% 0.18/0.45 P_sdtlbdtrb0-{F}(V0,V1,V2), P_sdtlbdtrb0-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #80: unsound, references = 3, size of lhs = 3:
% 0.18/0.45 P_sziznziztdt0-{F}(V0,V1), P_sziznziztdt0-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #81: unsound, references = 3, size of lhs = 3:
% 0.18/0.45 P_sdtasasdt0-{F}(V0,V1,V2), P_sdtasasdt0-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #82: unsound, references = 3, size of lhs = 3:
% 0.18/0.45 P_xs-{F}(V0), P_xs-{F}(V1), V0 == V1 | FALSE
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #83: unsound, references = 3, size of lhs = 3:
% 0.18/0.45 pppp1-{F}(V0,V1), pppp1-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #84: unsound, references = 3, size of lhs = 3:
% 0.18/0.45 pppp2-{F}(V0,V1,V2,V3,V4,V5,V6,V7,V8,V9), pppp2-{F}(V10,V11,V12,V13,V14,V15,V16,V17,V18,V19), V1 == V11 | FALSE
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #85: unsound, references = 3, size of lhs = 3:
% 0.18/0.45 pppp2-{F}(V0,V1,V2,V3,V4,V5,V6,V7,V8,V9), pppp2-{F}(V10,V1,V12,V13,V14,V15,V16,V17,V18,V19), V9 == V19 | FALSE
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #86: unsound, references = 3, size of lhs = 3:
% 0.18/0.45 pppp2-{F}(V0,V1,V2,V3,V4,V5,V6,V7,V8,V9), pppp2-{F}(V0,V1,V12,V13,V14,V15,V16,V17,V18,V19), V2 == V12 | FALSE
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #87: unsound, references = 3, size of lhs = 3:
% 0.18/0.45 pppp2-{F}(V0,V1,V2,V3,V4,V5,V6,V7,V8,V9), pppp2-{F}(V0,V1,V12,V13,V14,V15,V16,V17,V18,V19), V3 == V13 | FALSE
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #88: unsound, references = 3, size of lhs = 3:
% 0.18/0.45 pppp2-{F}(V0,V1,V2,V3,V4,V5,V6,V7,V8,V9), pppp2-{F}(V0,V1,V12,V13,V14,V15,V16,V17,V18,V19), V4 == V14 | FALSE
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #89: unsound, references = 3, size of lhs = 3:
% 0.18/0.45 pppp2-{F}(V0,V1,V2,V3,V4,V5,V6,V7,V8,V9), pppp2-{F}(V0,V1,V12,V13,V14,V15,V16,V17,V18,V19), V5 == V15 | FALSE
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #90: unsound, references = 3, size of lhs = 3:
% 0.18/0.45 pppp3-{F}(V0,V1,V2), pppp3-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 number of simplifiers = 20
% 0.18/0.45
% 0.18/0.45 Learnt:
% 0.18/0.45 #94: mergings( V2 == V4; #92 ), references = 1, size of lhs = 6:
% 0.18/0.45 P_xs-{F}(V0), P_sz00-{F}(V1), P_aDimensionOf0-{F}(V0,V1), P_sz0z00-{F}(V2), P_sdtasasdt0-{F}(V0,V0,V3), V3 == V2 | FALSE
% 0.18/0.46 (used 0 times, uses = {})
% 0.18/0.46
% 0.18/0.46 #97: mergings( V2 == V3; #95 ), references = 2, size of lhs = 4:
% 0.18/0.46 P_xs-{F}(V0), P_sz00-{F}(V1), P_aDimensionOf0-{F}(V0,V1), P_sz0z00-{F}(V2) | P_sdtasasdt0-{T}(V0,V0,V2)
% 0.18/0.46 (used 0 times, uses = {})
% 0.18/0.46
% 0.18/0.46 #104: mergings( V2 == V3; #102 ), references = 2, size of lhs = 6:
% 0.18/0.46 aScalar0-{F}(V0), P_sz0z00-{F}(V0), P_sz00-{F}(V1), P_xs-{F}(V2), P_sdtasasdt0-{F}(V2,V2,V0), P_aDimensionOf0-{F}(V2,V3) | FALSE
% 0.18/0.46 (used 0 times, uses = {})
% 0.18/0.46
% 0.18/0.46 #112: mergings( V2 == V6, V3 == V7, V4 == V8; #108 ), references = 1, size of lhs = 6:
% 0.18/0.46 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_xs-{F}(V2), P_sdtasasdt0-{F}(V2,V2,V3), P_aDimensionOf0-{F}(V2,V4), V4 == V0 | FALSE
% 0.18/0.46 (used 0 times, uses = {})
% 0.18/0.46
% 0.18/0.46 #116: mergings( V2 == V4, V3 == V6; #113 ), references = 1, size of lhs = 5:
% 0.18/0.46 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_xs-{F}(V2), P_aDimensionOf0-{F}(V2,V3), V3 == V0 | FALSE
% 0.18/0.46 (used 0 times, uses = {})
% 0.18/0.46
% 0.18/0.46 #119: mergings( V2 == V3; #117 ), references = 1, size of lhs = 3:
% 0.18/0.46 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_xs-{F}(V2) | P_aDimensionOf0-{T}(V2,V0)
% 0.18/0.46 (used 0 times, uses = {})
% 0.18/0.46
% 0.18/0.46 #126: mergings( V1 == V3, V3 == V5, V2 == V4; #122 ), references = 1, size of lhs = 3:
% 0.18/0.46 aScalar0-{F}(V0), P_sz0z00-{F}(V0), P_sz00-{F}(V1) | FALSE
% 0.18/0.46 (used 0 times, uses = {})
% 0.18/0.46
% 0.18/0.46 #132: mergings( V1 == V2, V2 == V3, V3 == V4; #128 ), references = 1, size of lhs = 1:
% 0.18/0.46 P_sz00-{F}(V0) | FALSE
% 0.18/0.46 (used 0 times, uses = {})
% 0.18/0.46
% 0.18/0.46 #134: exists( #60, #128 ), references = 1, size of lhs = 0:
% 0.18/0.46 FALSE | FALSE
% 0.18/0.46 (used 0 times, uses = {})
% 0.18/0.46
% 0.18/0.46 number of learnt formulas = 9
% 0.18/0.46
% 0.18/0.46
% 0.18/0.46 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.46
% 0.18/0.46 randbase = 1
%------------------------------------------------------------------------------