%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : RNG049+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n020.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 06:14:59 EDT 2022
% Result : Theorem 2.14s 2.38s
% Output : Refutation 2.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : RNG049+2 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n020.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 07:38:55 EDT 2022
% 0.12/0.33 % CPUTime :
% 2.14/2.38 GeoParameters:
% 2.14/2.38
% 2.14/2.38 tptp_input = 1
% 2.14/2.38 tptp_output = 0
% 2.14/2.38 nonempty = 1
% 2.14/2.38 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.14/2.38 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 2.14/2.38
% 2.14/2.38
% 2.14/2.38 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.14/2.38 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.14/2.38
% 2.14/2.38 RuleSystem INPUT:
% 2.14/2.38
% 2.14/2.38 Initial Rules:
% 2.14/2.38 #0: input, references = 3, size of lhs = 1:
% 2.14/2.38 P_sz00-{F}(V0) | aNaturalNumber0-{T}(V0)
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #1: input, references = 3, size of lhs = 3:
% 2.14/2.38 P_sz00-{F}(V0), P_szszuzczcdt0-{F}(V1,V2), aNaturalNumber0-{F}(V1) | aNaturalNumber0-{T}(V2)
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #2: input, references = 3, size of lhs = 3:
% 2.14/2.38 P_sz00-{F}(V0), P_szszuzczcdt0-{F}(V1,V0), aNaturalNumber0-{F}(V1) | FALSE
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #3: input, references = 3, size of lhs = 3:
% 2.14/2.38 P_sz00-{F}(V0), aNaturalNumber0-{F}(V1), V1 == V0 | EXISTS V2: pppp1-{T}(V1,V2)
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #4: input, references = 3, size of lhs = 3:
% 2.14/2.38 pppp1-{F}(V0,V1), P_szszuzczcdt0-{F}(V1,V2), V0 == V2 | FALSE
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #5: input, references = 3, size of lhs = 2:
% 2.14/2.38 pppp1-{F}(V0,V1), P_szszuzczcdt0-{F}(V1,V2) | aNaturalNumber0-{T}(V1)
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #6: input, references = 5, size of lhs = 6:
% 2.14/2.38 P_sz00-{F}(V0), P_szszuzczcdt0-{F}(V1,V2), aNaturalNumber0-{F}(V1), P_szszuzczcdt0-{F}(V3,V2), aNaturalNumber0-{F}(V3), V3 == V1 | FALSE
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #7: input, references = 7, size of lhs = 3:
% 2.14/2.38 P_sz00-{F}(V0), P_szszuzczcdt0-{F}(V1,V2), aNaturalNumber0-{F}(V1) | iLess0-{T}(V1,V2)
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #8: input, references = 3, size of lhs = 2:
% 2.14/2.38 P_sz00-{F}(V0), P_sz0z00-{F}(V1) | aScalar0-{T}(V1)
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #9: input, references = 3, size of lhs = 5:
% 2.14/2.38 P_sz00-{F}(V0), P_sz0z00-{F}(V1), aScalar0-{F}(V2), P_sdtpldt0-{F}(V3,V2,V4), aScalar0-{F}(V3) | aScalar0-{T}(V4)
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #10: input, references = 6, size of lhs = 5:
% 2.14/2.38 P_sz00-{F}(V0), P_sz0z00-{F}(V1), aScalar0-{F}(V2), P_sdtasdt0-{F}(V3,V2,V4), aScalar0-{F}(V3) | aScalar0-{T}(V4)
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #11: input, references = 3, size of lhs = 4:
% 2.14/2.38 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_smndt0-{F}(V2,V3), aScalar0-{F}(V2) | aScalar0-{T}(V3)
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #12: input, references = 7, size of lhs = 12:
% 2.14/2.38 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)
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #13: input, references = 4, size of lhs = 2:
% 2.14/2.38 pppp2-{F}(V0,V1,V2,V3,V4,V5,V6,V7,V8,V9), V9 == V1 | FALSE
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #14: input, references = 3, size of lhs = 2:
% 2.14/2.38 pppp2-{F}(V0,V1,V2,V3,V4,V5,V6,V7,V8,V9), V8 == V0 | FALSE
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #15: input, references = 4, size of lhs = 2:
% 2.14/2.38 pppp2-{F}(V0,V1,V2,V3,V4,V5,V6,V7,V8,V9), V7 == V1 | FALSE
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #16: input, references = 3, size of lhs = 2:
% 2.14/2.38 pppp2-{F}(V0,V1,V2,V3,V4,V5,V6,V7,V8,V9), V6 == V1 | FALSE
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #17: input, references = 4, size of lhs = 2:
% 2.14/2.38 pppp2-{F}(V0,V1,V2,V3,V4,V5,V6,V7,V8,V9), V5 == V1 | FALSE
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #18: input, references = 4, size of lhs = 2:
% 2.14/2.38 pppp2-{F}(V0,V1,V2,V3,V4,V5,V6,V7,V8,V9), V4 == V1 | FALSE
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #19: input, references = 3, size of lhs = 2:
% 2.14/2.38 pppp2-{F}(V0,V1,V2,V3,V4,V5,V6,V7,V8,V9), V3 == V0 | FALSE
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #20: input, references = 3, size of lhs = 2:
% 2.14/2.38 pppp2-{F}(V0,V1,V2,V3,V4,V5,V6,V7,V8,V9), V2 == V0 | FALSE
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #21: input, references = 3, size of lhs = 17:
% 2.14/2.38 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
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #22: input, references = 3, size of lhs = 17:
% 2.14/2.38 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
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #23: input, references = 4, size of lhs = 17:
% 2.14/2.38 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
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #24: input, references = 3, size of lhs = 17:
% 2.14/2.38 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
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #25: input, references = 3, size of lhs = 16:
% 2.14/2.38 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
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #26: input, references = 3, size of lhs = 16:
% 2.14/2.38 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
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #27: input, references = 3, size of lhs = 18:
% 2.14/2.38 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
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #28: input, references = 3, size of lhs = 12:
% 2.14/2.38 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
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #29: input, references = 3, size of lhs = 12:
% 2.14/2.38 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
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #30: input, references = 4, size of lhs = 10:
% 2.14/2.38 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
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #31: input, references = 4, size of lhs = 4:
% 2.14/2.38 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V2), aScalar0-{F}(V3) | sdtlseqdt0-{T}(V3,V3)
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #32: input, references = 3, size of lhs = 8:
% 2.14/2.38 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
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #33: input, references = 3, size of lhs = 8:
% 2.14/2.38 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)
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #34: input, references = 6, size of lhs = 11:
% 2.14/2.38 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)
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #35: input, references = 3, size of lhs = 12:
% 2.14/2.38 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)
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #36: input, references = 3, size of lhs = 5:
% 2.14/2.38 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)
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #37: input, references = 4, size of lhs = 9:
% 2.14/2.38 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)
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #38: input, references = 3, size of lhs = 9:
% 2.14/2.38 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)
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #39: input, references = 7, size of lhs = 5:
% 2.14/2.38 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)
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #40: input, references = 4, size of lhs = 10:
% 2.14/2.38 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
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #41: input, references = 9, size of lhs = 5:
% 2.14/2.38 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V2), P_aDimensionOf0-{F}(V3,V4), aVector0-{F}(V3) | aNaturalNumber0-{T}(V4)
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #42: input, references = 6, size of lhs = 6:
% 2.14/2.38 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)
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #43: input, references = 8, size of lhs = 7:
% 2.14/2.38 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)
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #44: input, references = 3, size of lhs = 9:
% 2.14/2.38 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
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #45: input, references = 7, size of lhs = 7:
% 2.14/2.38 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)
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #46: input, references = 4, size of lhs = 8:
% 2.14/2.38 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
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #47: input, references = 4, size of lhs = 11:
% 2.14/2.38 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
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #48: input, references = 3, size of lhs = 7:
% 2.14/2.38 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), pppp6-{T}(V3,V4)
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #49: input, references = 3, size of lhs = 1:
% 2.14/2.38 pppp6-{F}(V0,V1) | EXISTS V2: pppp3-{T}(V0,V1,V2)
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #50: input, references = 3, size of lhs = 3:
% 2.14/2.38 pppp3-{F}(V0,V1,V2), P_sdtlbdtrb0-{F}(V1,V2,V4), P_sdtlbdtrb0-{F}(V0,V2,V4) | FALSE
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #51: input, references = 3, size of lhs = 3:
% 2.14/2.38 pppp3-{F}(V0,V1,V2), P_sdtlbdtrb0-{F}(V1,V2,V3), P_sdtlbdtrb0-{F}(V0,V2,V4) | aNaturalNumber0-{T}(V2)
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #52: input, references = 3, size of lhs = 13:
% 2.14/2.38 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
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #53: input, references = 8, size of lhs = 8:
% 2.14/2.38 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)
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #54: input, references = 3, size of lhs = 9:
% 2.14/2.38 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
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #55: input, references = 4, size of lhs = 17:
% 2.14/2.38 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
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #56: input, references = 8, size of lhs = 4:
% 2.14/2.38 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V2), P_xs-{F}(V3) | aVector0-{T}(V3)
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #57: input, references = 8, size of lhs = 9:
% 2.14/2.38 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)
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #58: input, references = 4, size of lhs = 5:
% 2.14/2.38 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V2), P_xs-{F}(V3), P_aDimensionOf0-{F}(V3,V0) | FALSE
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #59: input, references = 3, size of lhs = 8:
% 2.14/2.38 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V2), P_xs-{F}(V3), P_aDimensionOf0-{F}(V3,V4), P_sziznziztdt0-{F}(V3,V5), P_aDimensionOf0-{F}(V5,V6), P_szszuzczcdt0-{F}(V6,V7) | pppp4-{T}(V3,V4,V5,V7)
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #60: input, references = 4, size of lhs = 5:
% 2.14/2.38 pppp4-{F}(V0,V1,V2,V3), P_sdtlbdtrb0-{F}(V2,V4,V5), P_sdtlbdtrb0-{F}(V0,V4,V6), aNaturalNumber0-{F}(V4), V5 == V6 | FALSE
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #61: input, references = 3, size of lhs = 2:
% 2.14/2.38 pppp4-{F}(V0,V1,V2,V3), V3 == V1 | FALSE
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #62: input, references = 3, size of lhs = 1:
% 2.14/2.38 pppp4-{F}(V0,V1,V2,V3) | aVector0-{T}(V2)
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #63: input, references = 3, size of lhs = 5:
% 2.14/2.38 pppp4-{F}(V0,V1,V2,V3), P_sdtlbdtrb0-{F}(V2,V4,V5), P_sdtlbdtrb0-{F}(V0,V4,V6), aNaturalNumber0-{F}(V4), V5 == V6 | FALSE
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #64: input, references = 3, size of lhs = 2:
% 2.14/2.38 pppp4-{F}(V0,V1,V2,V3), V3 == V1 | FALSE
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #65: input, references = 3, size of lhs = 1:
% 2.14/2.38 pppp4-{F}(V0,V1,V2,V3) | aVector0-{T}(V2)
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #66: input, references = 3, size of lhs = 10:
% 2.14/2.38 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V2), P_xs-{F}(V3), P_aDimensionOf0-{F}(V3,V4), P_sziznziztdt0-{F}(V3,V5), P_aDimensionOf0-{F}(V5,V6), P_szszuzczcdt0-{F}(V6,V7), P_sdtlbdtrb0-{F}(V3,V4,V8), P_sdtasdt0-{F}(V8,V8,V9) | pppp5-{T}(V1,V3,V4,V5,V7,V9)
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #67: input, references = 3, size of lhs = 1:
% 2.14/2.38 pppp5-{F}(V0,V1,V2,V3,V4,V5) | sdtlseqdt0-{T}(V0,V5)
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #68: input, references = 3, size of lhs = 5:
% 2.14/2.38 pppp5-{F}(V0,V1,V2,V3,V4,V5), P_sdtlbdtrb0-{F}(V3,V6,V7), P_sdtlbdtrb0-{F}(V1,V6,V8), aNaturalNumber0-{F}(V6), V7 == V8 | FALSE
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #69: input, references = 3, size of lhs = 2:
% 2.14/2.38 pppp5-{F}(V0,V1,V2,V3,V4,V5), V4 == V2 | FALSE
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #70: input, references = 3, size of lhs = 1:
% 2.14/2.38 pppp5-{F}(V0,V1,V2,V3,V4,V5) | aVector0-{T}(V3)
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #71: input, references = 3, size of lhs = 5:
% 2.14/2.38 pppp5-{F}(V0,V1,V2,V3,V4,V5), P_sdtlbdtrb0-{F}(V3,V6,V7), P_sdtlbdtrb0-{F}(V1,V6,V8), aNaturalNumber0-{F}(V6), V7 == V8 | FALSE
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #72: input, references = 3, size of lhs = 2:
% 2.14/2.38 pppp5-{F}(V0,V1,V2,V3,V4,V5), V4 == V2 | FALSE
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #73: input, references = 3, size of lhs = 1:
% 2.14/2.38 pppp5-{F}(V0,V1,V2,V3,V4,V5) | aVector0-{T}(V3)
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #74: input, references = 4, size of lhs = 12:
% 2.14/2.38 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V2), P_xs-{F}(V3), P_aDimensionOf0-{F}(V3,V4), P_sziznziztdt0-{F}(V3,V5), P_aDimensionOf0-{F}(V5,V6), P_szszuzczcdt0-{F}(V6,V7), P_sdtlbdtrb0-{F}(V3,V4,V8), P_sdtasdt0-{F}(V8,V8,V9), P_sdtasasdt0-{F}(V3,V3,V10), sdtlseqdt0-{F}(V1,V10) | FALSE
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #75: input, references = 4, size of lhs = 0:
% 2.14/2.38 FALSE | EXISTS V0: P_sz00-{T}(V0)
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #76: input, references = 4, size of lhs = 1:
% 2.14/2.38 #-{F} V0 | EXISTS V1: P_szszuzczcdt0-{T}(V0,V1)
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #77: input, references = 4, size of lhs = 0:
% 2.14/2.38 FALSE | EXISTS V0: P_sz0z00-{T}(V0)
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #78: input, references = 10, size of lhs = 2:
% 2.14/2.38 #-{F} V0, #-{F} V1 | EXISTS V2: P_sdtpldt0-{T}(V0,V1,V2)
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #79: input, references = 12, size of lhs = 2:
% 2.14/2.38 #-{F} V0, #-{F} V1 | EXISTS V2: P_sdtasdt0-{T}(V0,V1,V2)
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #80: input, references = 9, size of lhs = 1:
% 2.14/2.38 #-{F} V0 | EXISTS V1: P_smndt0-{T}(V0,V1)
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #81: input, references = 8, size of lhs = 1:
% 2.14/2.38 #-{F} V0 | EXISTS V1: P_aDimensionOf0-{T}(V0,V1)
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #82: input, references = 7, size of lhs = 2:
% 2.14/2.38 #-{F} V0, #-{F} V1 | EXISTS V2: P_sdtlbdtrb0-{T}(V0,V1,V2)
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #83: input, references = 4, size of lhs = 1:
% 2.14/2.38 #-{F} V0 | EXISTS V1: P_sziznziztdt0-{T}(V0,V1)
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #84: input, references = 7, size of lhs = 2:
% 2.14/2.38 #-{F} V0, #-{F} V1 | EXISTS V2: P_sdtasasdt0-{T}(V0,V1,V2)
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #85: input, references = 4, size of lhs = 0:
% 2.14/2.38 FALSE | EXISTS V0: P_xs-{T}(V0)
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 number of initial rules = 86
% 2.14/2.38
% 2.14/2.38 Simplifiers:
% 2.14/2.38 #86: unsound, references = 3, size of lhs = 3:
% 2.14/2.38 iLess0-{F}(V0,V1), iLess0-{F}(V0,V3), V1 == V3 | FALSE
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #87: unsound, references = 3, size of lhs = 3:
% 2.14/2.38 P_sz00-{F}(V0), P_sz00-{F}(V1), V0 == V1 | FALSE
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #88: unsound, references = 3, size of lhs = 3:
% 2.14/2.38 P_szszuzczcdt0-{F}(V0,V1), P_szszuzczcdt0-{F}(V0,V3), V1 == V3 | FALSE
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #89: unsound, references = 3, size of lhs = 3:
% 2.14/2.38 P_sz0z00-{F}(V0), P_sz0z00-{F}(V1), V0 == V1 | FALSE
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #90: unsound, references = 3, size of lhs = 3:
% 2.14/2.38 P_sdtpldt0-{F}(V0,V1,V2), P_sdtpldt0-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #91: unsound, references = 3, size of lhs = 3:
% 2.14/2.38 P_sdtasdt0-{F}(V0,V1,V2), P_sdtasdt0-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #92: unsound, references = 3, size of lhs = 3:
% 2.14/2.38 P_smndt0-{F}(V0,V1), P_smndt0-{F}(V0,V3), V1 == V3 | FALSE
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #93: unsound, references = 3, size of lhs = 3:
% 2.14/2.38 P_aDimensionOf0-{F}(V0,V1), P_aDimensionOf0-{F}(V0,V3), V1 == V3 | FALSE
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #94: unsound, references = 3, size of lhs = 3:
% 2.14/2.38 P_sdtlbdtrb0-{F}(V0,V1,V2), P_sdtlbdtrb0-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #95: unsound, references = 3, size of lhs = 3:
% 2.14/2.38 P_sziznziztdt0-{F}(V0,V1), P_sziznziztdt0-{F}(V0,V3), V1 == V3 | FALSE
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #96: unsound, references = 3, size of lhs = 3:
% 2.14/2.38 P_sdtasasdt0-{F}(V0,V1,V2), P_sdtasasdt0-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #97: unsound, references = 3, size of lhs = 3:
% 2.14/2.38 P_xs-{F}(V0), P_xs-{F}(V1), V0 == V1 | FALSE
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #98: unsound, references = 3, size of lhs = 3:
% 2.14/2.38 pppp1-{F}(V0,V1), pppp1-{F}(V0,V3), V1 == V3 | FALSE
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #99: unsound, references = 3, size of lhs = 3:
% 2.14/2.38 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
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #100: unsound, references = 3, size of lhs = 3:
% 2.14/2.38 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
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #101: unsound, references = 3, size of lhs = 3:
% 2.14/2.38 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
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #102: unsound, references = 3, size of lhs = 3:
% 2.14/2.38 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
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #103: unsound, references = 3, size of lhs = 3:
% 2.14/2.38 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
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #104: unsound, references = 3, size of lhs = 3:
% 2.14/2.38 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
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #105: unsound, references = 3, size of lhs = 3:
% 2.14/2.38 pppp3-{F}(V0,V1,V2), pppp3-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #106: unsound, references = 3, size of lhs = 3:
% 2.14/2.38 pppp4-{F}(V0,V1,V2,V3), pppp4-{F}(V4,V5,V6,V7), V0 == V4 | FALSE
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #107: unsound, references = 3, size of lhs = 3:
% 2.14/2.38 pppp4-{F}(V0,V1,V2,V3), pppp4-{F}(V0,V5,V6,V7), V1 == V5 | FALSE
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #108: unsound, references = 3, size of lhs = 3:
% 2.14/2.38 pppp4-{F}(V0,V1,V2,V3), pppp4-{F}(V0,V5,V6,V7), V2 == V6 | FALSE
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #109: unsound, references = 3, size of lhs = 3:
% 2.14/2.38 pppp5-{F}(V0,V1,V2,V3,V4,V5), pppp5-{F}(V6,V7,V8,V9,V10,V11), V0 == V6 | FALSE
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #110: unsound, references = 3, size of lhs = 3:
% 2.14/2.38 pppp5-{F}(V0,V1,V2,V3,V4,V5), pppp5-{F}(V6,V7,V8,V9,V10,V11), V1 == V7 | FALSE
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #111: unsound, references = 3, size of lhs = 3:
% 2.14/2.38 pppp5-{F}(V0,V1,V2,V3,V4,V5), pppp5-{F}(V6,V1,V8,V9,V10,V11), V2 == V8 | FALSE
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #112: unsound, references = 3, size of lhs = 3:
% 2.14/2.38 pppp5-{F}(V0,V1,V2,V3,V4,V5), pppp5-{F}(V6,V1,V8,V9,V10,V11), V3 == V9 | FALSE
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 number of simplifiers = 27
% 2.14/2.38
% 2.14/2.38 Learnt:
% 2.14/2.38 #114: exists( #80, #58 ), references = 2, size of lhs = 4:
% 2.14/2.38 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_xs-{F}(V2), P_aDimensionOf0-{F}(V2,V0) | FALSE
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #117: exists( #79, #30 ), references = 1, size of lhs = 8:
% 2.14/2.38 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V2), aScalar0-{F}(V3), P_smndt0-{F}(V3,V4), aScalar0-{F}(V5), P_smndt0-{F}(V5,V6), P_sdtasdt0-{F}(V6,V4,V7) | P_sdtasdt0-{T}(V5,V3,V7)
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #127: exists( #76, #46 ), references = 9, size of lhs = 6:
% 2.14/2.38 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V2), P_aDimensionOf0-{F}(V3,V4), pppp0-{F}(V3,V5), P_aDimensionOf0-{F}(V5,V6) | P_szszuzczcdt0-{T}(V6,V4)
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #136: mergings( V2 == V4, V4 == V7, V7 == V8, V5 == V11; #131 ), references = 1, size of lhs = 11:
% 2.14/2.38 P_xs-{F}(V0), P_sziznziztdt0-{F}(V0,V1), P_sz0z00-{F}(V2), P_sz00-{F}(V3), aNaturalNumber0-{F}(V4), P_aDimensionOf0-{F}(V1,V4), aNaturalNumber0-{F}(V5), V5 == V4, P_szszuzczcdt0-{F}(V5,V6), V6 == V3, P_aDimensionOf0-{F}(V0,V6) | FALSE
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #157: exists( #79, #152 ), references = 1, size of lhs = 12:
% 2.14/2.38 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V2), V2 == V1, aScalar0-{F}(V3), P_sdtpldt0-{F}(V3,V1,V4), P_sdtpldt0-{F}(V1,V3,V5), P_sdtasdt0-{F}(V1,V3,V6), P_smndt0-{F}(V3,V7), P_sdtpldt0-{F}(V3,V7,V8), P_sdtpldt0-{F}(V7,V3,V9), P_smndt0-{F}(V7,V10) | FALSE
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #158: exists( #79, #153 ), references = 1, size of lhs = 12:
% 2.14/2.38 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V2), aScalar0-{F}(V3), P_sdtpldt0-{F}(V3,V1,V4), P_sdtpldt0-{F}(V1,V3,V5), P_sdtasdt0-{F}(V1,V3,V6), P_smndt0-{F}(V3,V7), P_sdtpldt0-{F}(V3,V7,V8), P_sdtpldt0-{F}(V7,V3,V9), V9 == V1, P_smndt0-{F}(V7,V10) | FALSE
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #161: exists( #79, #155 ), references = 2, size of lhs = 11:
% 2.14/2.38 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V2), V2 == V1, aScalar0-{F}(V3), P_sdtpldt0-{F}(V3,V1,V4), P_sdtpldt0-{F}(V1,V3,V5), P_smndt0-{F}(V3,V6), P_sdtpldt0-{F}(V3,V6,V7), P_sdtpldt0-{F}(V6,V3,V8), P_smndt0-{F}(V6,V9) | FALSE
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #162: exists( #79, #156 ), references = 2, size of lhs = 11:
% 2.14/2.38 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V2), aScalar0-{F}(V3), P_sdtpldt0-{F}(V3,V1,V4), P_sdtpldt0-{F}(V1,V3,V5), P_smndt0-{F}(V3,V6), P_sdtpldt0-{F}(V3,V6,V7), P_sdtpldt0-{F}(V6,V3,V8), V8 == V1, P_smndt0-{F}(V6,V9) | FALSE
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #165: exists( #78, #159 ), references = 2, size of lhs = 10:
% 2.14/2.38 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V2), V2 == V1, aScalar0-{F}(V3), P_sdtpldt0-{F}(V1,V3,V4), P_smndt0-{F}(V3,V5), P_sdtpldt0-{F}(V3,V5,V6), P_sdtpldt0-{F}(V5,V3,V7), P_smndt0-{F}(V5,V8) | FALSE
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #166: exists( #78, #160 ), references = 2, size of lhs = 10:
% 2.14/2.38 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V2), aScalar0-{F}(V3), P_sdtpldt0-{F}(V1,V3,V4), P_smndt0-{F}(V3,V5), P_sdtpldt0-{F}(V3,V5,V6), P_sdtpldt0-{F}(V5,V3,V7), V7 == V1, P_smndt0-{F}(V5,V8) | FALSE
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #169: exists( #78, #163 ), references = 2, size of lhs = 9:
% 2.14/2.38 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V2), V2 == V1, aScalar0-{F}(V3), P_smndt0-{F}(V3,V4), P_sdtpldt0-{F}(V3,V4,V5), P_sdtpldt0-{F}(V4,V3,V6), P_smndt0-{F}(V4,V7) | FALSE
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #170: exists( #78, #164 ), references = 2, size of lhs = 9:
% 2.14/2.38 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V2), aScalar0-{F}(V3), P_smndt0-{F}(V3,V4), P_sdtpldt0-{F}(V3,V4,V5), P_sdtpldt0-{F}(V4,V3,V6), V6 == V1, P_smndt0-{F}(V4,V7) | FALSE
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #174: mergings( V0 == V5; #172 ), references = 1, size of lhs = 6:
% 2.14/2.38 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V2), V2 == V1, aScalar0-{F}(V3), P_smndt0-{F}(V3,V3) | FALSE
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #177: mergings( V0 == V5, V4 == V3; #171 ), references = 1, size of lhs = 5:
% 2.14/2.38 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V1), aScalar0-{F}(V2), P_smndt0-{F}(V2,V2) | P_sdtpldt0-{T}(V2,V2,V1)
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #184: exists( #78, #170 ), references = 1, size of lhs = 8:
% 2.14/2.38 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V2), aScalar0-{F}(V3), P_smndt0-{F}(V3,V4), P_sdtpldt0-{F}(V4,V3,V5), V5 == V1, P_smndt0-{F}(V4,V6) | FALSE
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #185: exists( #78, #166 ), references = 1, size of lhs = 9:
% 2.14/2.38 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V2), aScalar0-{F}(V3), P_sdtpldt0-{F}(V1,V3,V4), P_smndt0-{F}(V3,V5), P_sdtpldt0-{F}(V5,V3,V6), V6 == V1, P_smndt0-{F}(V5,V7) | FALSE
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #188: mergings( V5 == V6, V4 == V7; #183 ), references = 1, size of lhs = 7:
% 2.14/2.38 P_sz00-{F}(V0), P_sz0z00-{F}(V1), aScalar0-{F}(V2), P_smndt0-{F}(V2,V1), P_sdtpldt0-{F}(V1,V2,V3), V3 == V1, P_smndt0-{F}(V1,V4) | FALSE
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #192: exists( #78, #181 ), references = 1, size of lhs = 6:
% 2.14/2.38 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V2), aScalar0-{F}(V3), P_smndt0-{F}(V3,V4), P_smndt0-{F}(V4,V5) | P_sdtpldt0-{T}(V4,V3,V1)
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #196: exists( #78, #169 ), references = 1, size of lhs = 8:
% 2.14/2.38 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V2), V2 == V1, aScalar0-{F}(V3), P_smndt0-{F}(V3,V4), P_sdtpldt0-{F}(V4,V3,V5), P_smndt0-{F}(V4,V6) | FALSE
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #197: exists( #78, #165 ), references = 1, size of lhs = 9:
% 2.14/2.38 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V2), V2 == V1, aScalar0-{F}(V3), P_sdtpldt0-{F}(V1,V3,V4), P_smndt0-{F}(V3,V5), P_sdtpldt0-{F}(V5,V3,V6), P_smndt0-{F}(V5,V7) | FALSE
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #201: mergings( V5 == V6, V4 == V7, V6 == V1; #195 ), references = 1, size of lhs = 7:
% 2.14/2.38 P_sz00-{F}(V0), P_sz0z00-{F}(V1), aScalar0-{F}(V2), P_smndt0-{F}(V2,V1), P_sdtpldt0-{F}(V1,V2,V1), P_smndt0-{F}(V1,V3), V3 == V1 | FALSE
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #206: exists( #79, #74 ), references = 2, size of lhs = 11:
% 2.14/2.38 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V2), P_xs-{F}(V3), P_aDimensionOf0-{F}(V3,V4), P_sziznziztdt0-{F}(V3,V5), P_aDimensionOf0-{F}(V5,V6), P_szszuzczcdt0-{F}(V6,V7), P_sdtlbdtrb0-{F}(V3,V4,V8), P_sdtasasdt0-{F}(V3,V3,V9), sdtlseqdt0-{F}(V1,V9) | FALSE
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #208: exists( #82, #205 ), references = 5, size of lhs = 10:
% 2.14/2.38 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V2), P_xs-{F}(V3), P_aDimensionOf0-{F}(V3,V4), P_sziznziztdt0-{F}(V3,V5), P_aDimensionOf0-{F}(V5,V6), P_szszuzczcdt0-{F}(V6,V7), P_sdtasasdt0-{F}(V3,V3,V8), sdtlseqdt0-{F}(V1,V8) | FALSE
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #222: mergings( V2 == V3, V3 == V5, V5 == V8, V8 == V9, V6 == V14, V4 == V10, V11 == V14, V7 == V12; #213 ), references = 1, size of lhs = 9:
% 2.14/2.38 aScalar0-{F}(V0), P_sz0z00-{F}(V0), P_sz00-{F}(V1), P_xs-{F}(V2), P_sdtasasdt0-{F}(V2,V2,V0), P_sziznziztdt0-{F}(V2,V3), P_aDimensionOf0-{F}(V3,V4), P_aDimensionOf0-{F}(V2,V5), V5 == V1 | FALSE
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #241: mergings( V2 == V4, V4 == V7, V7 == V10, V10 == V11, V11 == V13, V5 == V8, V8 == V18, V3 == V14, V15 == V18, V6 == V16, V9 == V12; #229 ), references = 1, size of lhs = 9:
% 2.14/2.38 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_xs-{F}(V2), P_sdtasasdt0-{F}(V2,V2,V3), P_sdtasdt0-{F}(V3,V3,V3), P_sziznziztdt0-{F}(V2,V4), P_aDimensionOf0-{F}(V4,V5), P_aDimensionOf0-{F}(V2,V6), V6 == V0 | FALSE
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #262: mergings( V2 == V4, V4 == V5, V5 == V9, V9 == V10, V10 == V11, V11 == V15, V6 == V8, V8 == V13, V3 == V12, V12 == V16, V13 == V17, V7 == V18; #249 ), references = 1, size of lhs = 8:
% 2.14/2.38 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, P_sziznziztdt0-{F}(V2,V5), P_aDimensionOf0-{F}(V5,V4) | FALSE
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #275: mergings( V2 == V3, V3 == V4, V4 == V8, V8 == V9, V9 == V10, V10 == V13, V12 == V5, V5 == V7, V7 == V15, V6 == V16, V11 == V0; #263 ), references = 1, size of lhs = 7:
% 2.14/2.38 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_xs-{F}(V2), P_aDimensionOf0-{F}(V2,V3), V3 == V0, P_sziznziztdt0-{F}(V2,V4), P_aDimensionOf0-{F}(V4,V3) | FALSE
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #290: mergings( V4 == V5, V3 == V6; #286 ), references = 1, size of lhs = 8:
% 2.14/2.38 P_sz00-{F}(V0), P_sz0z00-{F}(V1), aScalar0-{F}(V1), P_sdtpldt0-{F}(V1,V1,V2), P_smndt0-{F}(V1,V3), P_sdtpldt0-{F}(V1,V3,V4), P_sdtpldt0-{F}(V3,V1,V5), P_smndt0-{F}(V3,V6) | P_sdtasdt0-{T}(V1,V1,V1)
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #293: mergings( V4 == V5, V3 == V6; #287 ), references = 1, size of lhs = 8:
% 2.14/2.38 P_sz00-{F}(V0), P_sz0z00-{F}(V1), aScalar0-{F}(V1), P_sdtpldt0-{F}(V1,V1,V2), P_smndt0-{F}(V1,V3), P_sdtpldt0-{F}(V1,V3,V4), P_sdtpldt0-{F}(V3,V1,V5), P_smndt0-{F}(V3,V6) | P_sdtasdt0-{T}(V1,V1,V1)
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #301: exists( #82, #60 ), references = 1, size of lhs = 3:
% 2.14/2.38 aNaturalNumber0-{F}(V0), P_sdtlbdtrb0-{F}(V1,V0,V2), pppp4-{F}(V1,V3,V4,V5) | P_sdtlbdtrb0-{T}(V4,V0,V2)
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #302: exists( #82, #47 ), references = 1, size of lhs = 9:
% 2.14/2.38 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V2), aNaturalNumber0-{F}(V3), P_aDimensionOf0-{F}(V4,V5), pppp0-{F}(V4,V6), P_aDimensionOf0-{F}(V6,V7), P_szszuzczcdt0-{F}(V7,V8), P_sdtlbdtrb0-{F}(V4,V3,V9) | P_sdtlbdtrb0-{T}(V6,V3,V9)
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #311: exists( #79, #23 ), references = 1, size of lhs = 15:
% 2.14/2.38 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V2), aScalar0-{F}(V3), aScalar0-{F}(V4), P_sdtpldt0-{F}(V4,V3,V5), P_sdtasdt0-{F}(V4,V3,V6), aScalar0-{F}(V7), 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}(V4,V7,V14) | P_sdtasdt0-{T}(V7,V6,V13)
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #327: mergings( V2 == V5, V5 == V8, V8 == V11, V3 == V6, V6 == V9, V4 == V7, V7 == V10; #319 ), references = 1, size of lhs = 9:
% 2.14/2.38 P_sz0z00-{F}(V0), P_smndt0-{F}(V0,V1), P_sz00-{F}(V2), aNaturalNumber0-{F}(V3), P_szszuzczcdt0-{F}(V3,V4), P_aDimensionOf0-{F}(V5,V4), pppp0-{F}(V5,V6), pppp0-{F}(V7,V6), P_aDimensionOf0-{F}(V7,V8) | P_aDimensionOf0-{T}(V6,V3)
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #339: exists( #78, #55 ), references = 5, size of lhs = 15:
% 2.14/2.38 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V2), aVector0-{F}(V3), P_aDimensionOf0-{F}(V3,V4), V4 == V0, P_sziznziztdt0-{F}(V3,V5), P_sdtlbdtrb0-{F}(V3,V4,V6), aVector0-{F}(V7), P_aDimensionOf0-{F}(V7,V4), P_sdtasasdt0-{F}(V7,V3,V8), P_sziznziztdt0-{F}(V7,V9), P_sdtasasdt0-{F}(V9,V5,V10), P_sdtlbdtrb0-{F}(V7,V4,V11), P_sdtasdt0-{F}(V11,V6,V12) | P_sdtpldt0-{T}(V10,V12,V8)
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #377: mergings( V2 == V6, V6 == V12, V12 == V22, V22 == V27, V3 == V7, V7 == V13, V13 == V23, V23 == V26, V4 == V8, V8 == V14, V14 == V24, V24 == V28, V5 == V11; #361 ), references = 1, size of lhs = 30:
% 2.14/2.38 aScalar0-{F}(V0), P_sz0z00-{F}(V0), P_xs-{F}(V1), P_aDimensionOf0-{F}(V1,V2), aVector0-{F}(V3), P_aDimensionOf0-{F}(V3,V4), iLess0-{F}(V4,V2), aVector0-{F}(V5), P_sziznziztdt0-{F}(V5,V3), P_aDimensionOf0-{F}(V5,V6), P_sdtlbdtrb0-{F}(V5,V6,V7), aVector0-{F}(V8), P_aDimensionOf0-{F}(V8,V6), P_sziznziztdt0-{F}(V8,V3), P_sdtasasdt0-{F}(V8,V5,V9), aScalar0-{F}(V9), P_sdtlbdtrb0-{F}(V8,V6,V10), P_sdtasdt0-{F}(V10,V7,V11), aScalar0-{F}(V11), aScalar0-{F}(V12), sdtlseqdt0-{F}(V12,V11), P_sdtpldt0-{F}(V0,V12,V0), P_sz00-{F}(V13), V6 == V13, P_smndt0-{F}(V0,V14), P_sdtasdt0-{F}(V9,V9,V15), aScalar0-{F}(V16), V16 == V9, P_sdtasdt0-{F}(V16,V16,V15), sdtlseqdt0-{F}(V0,V16) | FALSE
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #393: mergings( V2 == V6, V6 == V12, V12 == V22, V22 == V27, V3 == V7, V7 == V13, V13 == V23, V23 == V26, V4 == V8, V8 == V14, V14 == V24, V24 == V28, V5 == V11, V9 == V29, V10 == V30; #362 ), references = 2, size of lhs = 28:
% 2.14/2.38 aScalar0-{F}(V0), P_sz0z00-{F}(V0), aVector0-{F}(V1), P_aDimensionOf0-{F}(V1,V2), iLess0-{F}(V2,V3), aVector0-{F}(V4), P_sziznziztdt0-{F}(V4,V1), P_aDimensionOf0-{F}(V4,V5), P_sdtlbdtrb0-{F}(V4,V5,V6), aVector0-{F}(V7), P_aDimensionOf0-{F}(V7,V5), P_sziznziztdt0-{F}(V7,V1), P_sdtasasdt0-{F}(V7,V4,V8), P_sdtlbdtrb0-{F}(V7,V5,V9), P_sdtasdt0-{F}(V9,V6,V10), aScalar0-{F}(V10), aScalar0-{F}(V11), sdtlseqdt0-{F}(V11,V10), P_sdtpldt0-{F}(V0,V11,V0), P_sz00-{F}(V12), V5 == V12, P_smndt0-{F}(V0,V13), P_xs-{F}(V14), P_sdtasasdt0-{F}(V14,V14,V8), P_aDimensionOf0-{F}(V14,V3), P_sziznziztdt0-{F}(V14,V15), P_aDimensionOf0-{F}(V15,V16), P_szszuzczcdt0-{F}(V16,V17) | FALSE
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #409: mergings( V2 == V6, V6 == V12, V12 == V22, V22 == V27, V3 == V7, V7 == V13, V13 == V23, V23 == V26, V4 == V8, V8 == V14, V14 == V24, V24 == V28, V5 == V11, V9 == V29, V10 == V30; #363 ), references = 2, size of lhs = 29:
% 2.14/2.38 aScalar0-{F}(V0), P_sz0z00-{F}(V0), aVector0-{F}(V1), P_aDimensionOf0-{F}(V1,V2), iLess0-{F}(V2,V3), aVector0-{F}(V4), P_sziznziztdt0-{F}(V4,V1), P_aDimensionOf0-{F}(V4,V5), P_sdtlbdtrb0-{F}(V4,V5,V6), aVector0-{F}(V7), P_aDimensionOf0-{F}(V7,V5), P_sziznziztdt0-{F}(V7,V1), P_sdtasasdt0-{F}(V7,V4,V8), P_sdtlbdtrb0-{F}(V7,V5,V9), P_sdtasdt0-{F}(V9,V6,V10), aScalar0-{F}(V10), aScalar0-{F}(V11), sdtlseqdt0-{F}(V11,V10), P_sdtpldt0-{F}(V0,V11,V0), P_sz00-{F}(V12), V5 == V12, P_smndt0-{F}(V0,V13), P_xs-{F}(V14), P_sdtasasdt0-{F}(V14,V14,V8), P_aDimensionOf0-{F}(V14,V3), P_sziznziztdt0-{F}(V14,V15), P_aDimensionOf0-{F}(V15,V16), P_szszuzczcdt0-{F}(V16,V17), P_sdtlbdtrb0-{F}(V14,V3,V18) | FALSE
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #421: mergings( V2 == V4, V4 == V15, V3 == V5, V5 == V7, V6 == V16; #414 ), references = 2, size of lhs = 25:
% 2.14/2.38 aScalar0-{F}(V0), aScalar0-{F}(V1), P_sz0z00-{F}(V1), P_sdtpldt0-{F}(V1,V1,V1), aVector0-{F}(V2), P_aDimensionOf0-{F}(V2,V3), iLess0-{F}(V3,V4), aVector0-{F}(V5), P_sziznziztdt0-{F}(V5,V2), P_aDimensionOf0-{F}(V5,V6), P_sdtlbdtrb0-{F}(V5,V6,V0), aVector0-{F}(V7), P_aDimensionOf0-{F}(V7,V6), P_sziznziztdt0-{F}(V7,V2), P_sdtlbdtrb0-{F}(V7,V6,V0), P_sdtasasdt0-{F}(V7,V5,V8), P_sz00-{F}(V9), V6 == V9, P_smndt0-{F}(V1,V10), P_xs-{F}(V11), P_sdtasasdt0-{F}(V11,V11,V8), P_aDimensionOf0-{F}(V11,V4), P_sziznziztdt0-{F}(V11,V12), P_aDimensionOf0-{F}(V12,V13), P_szszuzczcdt0-{F}(V13,V14) | FALSE
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #427: mergings( V2 == V4, V4 == V15, V3 == V5, V5 == V7, V6 == V16; #415 ), references = 2, size of lhs = 26:
% 2.14/2.38 aScalar0-{F}(V0), aScalar0-{F}(V1), P_sz0z00-{F}(V1), P_sdtpldt0-{F}(V1,V1,V1), aVector0-{F}(V2), P_aDimensionOf0-{F}(V2,V3), iLess0-{F}(V3,V4), aVector0-{F}(V5), P_sziznziztdt0-{F}(V5,V2), P_aDimensionOf0-{F}(V5,V6), P_sdtlbdtrb0-{F}(V5,V6,V0), aVector0-{F}(V7), P_aDimensionOf0-{F}(V7,V6), P_sziznziztdt0-{F}(V7,V2), P_sdtlbdtrb0-{F}(V7,V6,V0), P_sdtasasdt0-{F}(V7,V5,V8), P_sz00-{F}(V9), V6 == V9, P_smndt0-{F}(V1,V10), P_xs-{F}(V11), P_sdtasasdt0-{F}(V11,V11,V8), P_aDimensionOf0-{F}(V11,V4), P_sziznziztdt0-{F}(V11,V12), P_aDimensionOf0-{F}(V12,V13), P_szszuzczcdt0-{F}(V13,V14), P_sdtlbdtrb0-{F}(V11,V4,V15) | FALSE
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #437: mergings( V3 == V10, V4 == V6, V5 == V11, V7 == V12, V8 == V13; #431 ), references = 2, size of lhs = 16:
% 2.14/2.38 aNaturalNumber0-{F}(V0), aScalar0-{F}(V1), P_sz0z00-{F}(V1), P_sdtpldt0-{F}(V1,V1,V1), aVector0-{F}(V2), aVector0-{F}(V3), P_xs-{F}(V3), P_aDimensionOf0-{F}(V3,V0), P_sziznziztdt0-{F}(V3,V2), P_sz00-{F}(V4), V0 == V4, P_smndt0-{F}(V1,V5), P_sdtasasdt0-{F}(V3,V3,V6), P_aDimensionOf0-{F}(V2,V7), iLess0-{F}(V7,V0), P_szszuzczcdt0-{F}(V7,V8) | FALSE
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #441: mergings( V3 == V11, V4 == V6, V5 == V12; #430 ), references = 2, size of lhs = 20:
% 2.14/2.38 aNaturalNumber0-{F}(V0), aScalar0-{F}(V1), P_sz0z00-{F}(V1), P_sdtpldt0-{F}(V1,V1,V1), aVector0-{F}(V2), P_aDimensionOf0-{F}(V2,V3), iLess0-{F}(V3,V4), aVector0-{F}(V5), P_aDimensionOf0-{F}(V5,V0), P_sziznziztdt0-{F}(V5,V2), P_sdtasasdt0-{F}(V5,V5,V6), P_sz00-{F}(V7), V0 == V7, P_smndt0-{F}(V1,V8), P_xs-{F}(V9), P_sdtasasdt0-{F}(V9,V9,V6), P_aDimensionOf0-{F}(V9,V4), P_sziznziztdt0-{F}(V9,V10), P_aDimensionOf0-{F}(V10,V11), P_szszuzczcdt0-{F}(V11,V12) | FALSE
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #468: mergings( V2 == V5, V5 == V8, V8 == V11, V11 == V18, V3 == V6, V6 == V9, V9 == V14, V4 == V7, V7 == V10, V10 == V19; #456 ), references = 1, size of lhs = 16:
% 2.14/2.38 aNaturalNumber0-{F}(V0), P_aDimensionOf0-{F}(V1,V0), pppp0-{F}(V1,V2), aScalar0-{F}(V3), P_sz0z00-{F}(V3), P_sdtpldt0-{F}(V3,V3,V3), aVector0-{F}(V4), P_xs-{F}(V4), P_aDimensionOf0-{F}(V4,V0), P_sziznziztdt0-{F}(V4,V2), pppp0-{F}(V5,V2), P_aDimensionOf0-{F}(V5,V6), P_sz00-{F}(V7), V0 == V7, P_smndt0-{F}(V3,V8), P_sdtasasdt0-{F}(V4,V4,V9) | FALSE
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #479: mergings( V2 == V5, V5 == V8, V8 == V11, V11 == V18, V3 == V6, V6 == V9, V9 == V13, V4 == V7, V7 == V10, V10 == V19; #457 ), references = 1, size of lhs = 19:
% 2.14/2.38 aNaturalNumber0-{F}(V0), aScalar0-{F}(V1), P_sz0z00-{F}(V1), P_sdtpldt0-{F}(V1,V1,V1), aVector0-{F}(V2), P_aDimensionOf0-{F}(V2,V0), P_sziznziztdt0-{F}(V2,V3), pppp0-{F}(V4,V3), P_aDimensionOf0-{F}(V4,V5), P_sdtasasdt0-{F}(V2,V2,V6), P_sz00-{F}(V7), V0 == V7, P_smndt0-{F}(V1,V8), P_xs-{F}(V9), P_sdtasasdt0-{F}(V9,V9,V6), P_sziznziztdt0-{F}(V9,V3), P_aDimensionOf0-{F}(V9,V10), P_aDimensionOf0-{F}(V11,V10), pppp0-{F}(V11,V3) | FALSE
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #502: mergings( V2 == V5, V3 == V6, V4 == V7; #498 ), references = 2, size of lhs = 10:
% 2.14/2.38 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V2), P_xs-{F}(V3), P_aDimensionOf0-{F}(V3,V4), P_sziznziztdt0-{F}(V3,V5), P_sdtasasdt0-{F}(V3,V3,V6), sdtlseqdt0-{F}(V1,V6), pppp0-{F}(V7,V5), P_aDimensionOf0-{F}(V7,V8) | FALSE
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #508: mergings( V3 == V5, V7 == V8; #505 ), references = 2, size of lhs = 14:
% 2.14/2.38 aScalar0-{F}(V0), aScalar0-{F}(V1), P_sdtpldt0-{F}(V1,V0,V2), P_sz00-{F}(V3), P_sz0z00-{F}(V4), sdtlseqdt0-{F}(V4,V0), sdtlseqdt0-{F}(V4,V1), P_smndt0-{F}(V4,V5), P_xs-{F}(V6), P_sdtasasdt0-{F}(V6,V6,V2), P_aDimensionOf0-{F}(V6,V7), P_sziznziztdt0-{F}(V6,V8), pppp0-{F}(V9,V8), P_aDimensionOf0-{F}(V9,V10) | FALSE
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #541: mergings( V2 == V6, V6 == V10, V10 == V20, V3 == V11, V11 == V21, V4 == V12, V12 == V22, V22 == V23, V5 == V9, V7 == V24, V8 == V25; #529 ), references = 2, size of lhs = 25:
% 2.14/2.38 aVector0-{F}(V0), P_aDimensionOf0-{F}(V0,V1), iLess0-{F}(V1,V2), aVector0-{F}(V3), P_sziznziztdt0-{F}(V3,V0), P_aDimensionOf0-{F}(V3,V4), P_sdtlbdtrb0-{F}(V3,V4,V5), aVector0-{F}(V6), P_aDimensionOf0-{F}(V6,V4), P_sziznziztdt0-{F}(V6,V0), P_sdtasasdt0-{F}(V6,V3,V7), P_sdtlbdtrb0-{F}(V6,V4,V8), P_sdtasdt0-{F}(V8,V5,V9), aScalar0-{F}(V9), P_sz00-{F}(V10), V4 == V10, P_sz0z00-{F}(V11), sdtlseqdt0-{F}(V11,V9), P_smndt0-{F}(V11,V12), P_xs-{F}(V13), P_sdtasasdt0-{F}(V13,V13,V7), P_aDimensionOf0-{F}(V13,V2), P_sziznziztdt0-{F}(V13,V14), pppp0-{F}(V15,V14), P_aDimensionOf0-{F}(V15,V16) | FALSE
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #550: mergings( V2 == V4, V4 == V12, V3 == V13, V14 == V15; #545 ), references = 2, size of lhs = 23:
% 2.14/2.38 aScalar0-{F}(V0), aVector0-{F}(V1), P_aDimensionOf0-{F}(V1,V2), iLess0-{F}(V2,V3), aVector0-{F}(V4), P_sziznziztdt0-{F}(V4,V1), P_aDimensionOf0-{F}(V4,V5), P_sdtlbdtrb0-{F}(V4,V5,V0), aVector0-{F}(V6), P_aDimensionOf0-{F}(V6,V5), P_sziznziztdt0-{F}(V6,V1), P_sdtlbdtrb0-{F}(V6,V5,V0), P_sdtasasdt0-{F}(V6,V4,V7), P_sz00-{F}(V8), V5 == V8, P_sz0z00-{F}(V9), P_smndt0-{F}(V9,V10), P_xs-{F}(V11), P_sdtasasdt0-{F}(V11,V11,V7), P_aDimensionOf0-{F}(V11,V3), P_sziznziztdt0-{F}(V11,V12), pppp0-{F}(V13,V12), P_aDimensionOf0-{F}(V13,V14) | FALSE
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #556: mergings( V3 == V10, V4 == V11, V5 == V12; #552 ), references = 2, size of lhs = 18:
% 2.14/2.38 aNaturalNumber0-{F}(V0), aVector0-{F}(V1), P_aDimensionOf0-{F}(V1,V2), iLess0-{F}(V2,V3), aVector0-{F}(V4), P_aDimensionOf0-{F}(V4,V0), P_sziznziztdt0-{F}(V4,V1), P_sdtasasdt0-{F}(V4,V4,V5), P_sz00-{F}(V6), V0 == V6, P_sz0z00-{F}(V7), P_smndt0-{F}(V7,V8), P_xs-{F}(V9), P_sdtasasdt0-{F}(V9,V9,V5), P_aDimensionOf0-{F}(V9,V3), P_sziznziztdt0-{F}(V9,V10), pppp0-{F}(V11,V10), P_aDimensionOf0-{F}(V11,V12) | FALSE
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #575: mergings( V2 == V5, V5 == V8, V8 == V11, V11 == V17, V3 == V6, V6 == V9, V9 == V18, V4 == V7, V7 == V10, V10 == V19; #564 ), references = 1, size of lhs = 19:
% 2.14/2.38 aNaturalNumber0-{F}(V0), aVector0-{F}(V1), P_aDimensionOf0-{F}(V1,V0), P_sziznziztdt0-{F}(V1,V2), pppp0-{F}(V3,V2), P_aDimensionOf0-{F}(V3,V4), P_sdtasasdt0-{F}(V1,V1,V5), P_sz00-{F}(V6), V0 == V6, P_sz0z00-{F}(V7), P_smndt0-{F}(V7,V8), P_xs-{F}(V9), P_sdtasasdt0-{F}(V9,V9,V5), P_aDimensionOf0-{F}(V9,V10), P_aDimensionOf0-{F}(V11,V10), pppp0-{F}(V11,V2), P_sziznziztdt0-{F}(V9,V12), pppp0-{F}(V13,V12), P_aDimensionOf0-{F}(V13,V14) | FALSE
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #592: mergings( V2 == V4, V4 == V5, V5 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V15, V6 == V11, V11 == V13, V13 == V17, V17 == V18, V3 == V16; #579 ), references = 1, size of lhs = 7:
% 2.14/2.38 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_xs-{F}(V2), P_sdtasasdt0-{F}(V2,V2,V3), P_sziznziztdt0-{F}(V2,V4), P_aDimensionOf0-{F}(V2,V5), V5 == V0 | FALSE
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #605: mergings( V2 == V3, V3 == V4, V4 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V13, V5 == V10, V10 == V12, V12 == V15, V15 == V16; #593 ), references = 1, size of lhs = 6:
% 2.14/2.38 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_xs-{F}(V2), P_sziznziztdt0-{F}(V2,V3), P_aDimensionOf0-{F}(V2,V4), V4 == V0 | FALSE
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #618: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V11 == V12, V12 == V13, V13 == V14, V14 == V15; #606 ), references = 1, size of lhs = 5:
% 2.14/2.38 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_xs-{F}(V2), P_aDimensionOf0-{F}(V2,V3), V3 == V0 | FALSE
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #627: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9; #619 ), references = 1, size of lhs = 3:
% 2.14/2.38 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_xs-{F}(V2) | P_aDimensionOf0-{T}(V2,V0)
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #640: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V8, V8 == V10, V7 == V9, V9 == V11; #630 ), references = 1, size of lhs = 2:
% 2.14/2.38 P_sz00-{F}(V0), P_sz0z00-{F}(V1) | FALSE
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #649: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #641 ), references = 1, size of lhs = 1:
% 2.14/2.38 P_sz00-{F}(V0) | FALSE
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 #651: exists( #75, #641 ), references = 1, size of lhs = 0:
% 2.14/2.38 FALSE | FALSE
% 2.14/2.38 (used 0 times, uses = {})
% 2.14/2.38
% 2.14/2.38 number of learnt formulas = 56
% 2.14/2.38
% 2.14/2.38
% 2.14/2.38 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.14/2.38
% 2.14/2.38 randbase = 1
%------------------------------------------------------------------------------