TSTP Solution File: RNG048+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : RNG048+1 : 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 06:14:59 EDT 2022
% Result : Theorem 8.55s 8.73s
% Output : Refutation 8.55s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : RNG048+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % 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 08:03:01 EDT 2022
% 0.12/0.33 % CPUTime :
% 8.55/8.73 GeoParameters:
% 8.55/8.73
% 8.55/8.73 tptp_input = 1
% 8.55/8.73 tptp_output = 0
% 8.55/8.73 nonempty = 1
% 8.55/8.73 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.55/8.73 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 8.55/8.73
% 8.55/8.73
% 8.55/8.73 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.55/8.73 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.55/8.73
% 8.55/8.73 RuleSystem INPUT:
% 8.55/8.73
% 8.55/8.73 Initial Rules:
% 8.55/8.73 #0: input, references = 3, size of lhs = 1:
% 8.55/8.73 P_sz00-{F}(V0) | aNaturalNumber0-{T}(V0)
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #1: input, references = 3, size of lhs = 3:
% 8.55/8.73 P_sz00-{F}(V0), P_szszuzczcdt0-{F}(V1,V2), aNaturalNumber0-{F}(V1) | aNaturalNumber0-{T}(V2)
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #2: input, references = 4, size of lhs = 3:
% 8.55/8.73 P_sz00-{F}(V0), P_szszuzczcdt0-{F}(V1,V0), aNaturalNumber0-{F}(V1) | FALSE
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #3: input, references = 4, size of lhs = 3:
% 8.55/8.73 P_sz00-{F}(V0), aNaturalNumber0-{F}(V1), V1 == V0 | EXISTS V2: pppp1-{T}(V1,V2)
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #4: input, references = 4, size of lhs = 3:
% 8.55/8.73 pppp1-{F}(V0,V1), P_szszuzczcdt0-{F}(V1,V2), V0 == V2 | FALSE
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #5: input, references = 4, size of lhs = 2:
% 8.55/8.73 pppp1-{F}(V0,V1), P_szszuzczcdt0-{F}(V1,V2) | aNaturalNumber0-{T}(V1)
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #6: input, references = 6, size of lhs = 6:
% 8.55/8.73 P_sz00-{F}(V0), P_szszuzczcdt0-{F}(V1,V2), aNaturalNumber0-{F}(V1), P_szszuzczcdt0-{F}(V3,V2), aNaturalNumber0-{F}(V3), V3 == V1 | FALSE
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #7: input, references = 6, size of lhs = 3:
% 8.55/8.73 P_sz00-{F}(V0), P_szszuzczcdt0-{F}(V1,V2), aNaturalNumber0-{F}(V1) | iLess0-{T}(V1,V2)
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #8: input, references = 4, size of lhs = 2:
% 8.55/8.73 P_sz00-{F}(V0), P_sz0z00-{F}(V1) | aScalar0-{T}(V1)
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #9: input, references = 3, size of lhs = 5:
% 8.55/8.73 P_sz00-{F}(V0), P_sz0z00-{F}(V1), aScalar0-{F}(V2), P_sdtpldt0-{F}(V3,V2,V4), aScalar0-{F}(V3) | aScalar0-{T}(V4)
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #10: input, references = 4, size of lhs = 5:
% 8.55/8.73 P_sz00-{F}(V0), P_sz0z00-{F}(V1), aScalar0-{F}(V2), P_sdtasdt0-{F}(V3,V2,V4), aScalar0-{F}(V3) | aScalar0-{T}(V4)
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #11: input, references = 3, size of lhs = 4:
% 8.55/8.73 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_smndt0-{F}(V2,V3), aScalar0-{F}(V2) | aScalar0-{T}(V3)
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #12: input, references = 11, size of lhs = 12:
% 8.55/8.73 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)
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #13: input, references = 4, size of lhs = 2:
% 8.55/8.73 pppp2-{F}(V0,V1,V2,V3,V4,V5,V6,V7,V8,V9), V9 == V1 | FALSE
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #14: input, references = 5, size of lhs = 2:
% 8.55/8.73 pppp2-{F}(V0,V1,V2,V3,V4,V5,V6,V7,V8,V9), V8 == V0 | FALSE
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #15: input, references = 5, size of lhs = 2:
% 8.55/8.73 pppp2-{F}(V0,V1,V2,V3,V4,V5,V6,V7,V8,V9), V7 == V1 | FALSE
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #16: input, references = 4, size of lhs = 2:
% 8.55/8.73 pppp2-{F}(V0,V1,V2,V3,V4,V5,V6,V7,V8,V9), V6 == V1 | FALSE
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #17: input, references = 4, size of lhs = 2:
% 8.55/8.73 pppp2-{F}(V0,V1,V2,V3,V4,V5,V6,V7,V8,V9), V5 == V1 | FALSE
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #18: input, references = 4, size of lhs = 2:
% 8.55/8.73 pppp2-{F}(V0,V1,V2,V3,V4,V5,V6,V7,V8,V9), V4 == V1 | FALSE
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #19: input, references = 3, size of lhs = 2:
% 8.55/8.73 pppp2-{F}(V0,V1,V2,V3,V4,V5,V6,V7,V8,V9), V3 == V0 | FALSE
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #20: input, references = 3, size of lhs = 2:
% 8.55/8.73 pppp2-{F}(V0,V1,V2,V3,V4,V5,V6,V7,V8,V9), V2 == V0 | FALSE
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #21: input, references = 4, size of lhs = 17:
% 8.55/8.73 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
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #22: input, references = 4, size of lhs = 17:
% 8.55/8.73 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
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #23: input, references = 3, size of lhs = 17:
% 8.55/8.73 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
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #24: input, references = 3, size of lhs = 17:
% 8.55/8.73 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
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #25: input, references = 5, size of lhs = 16:
% 8.55/8.73 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
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #26: input, references = 4, size of lhs = 16:
% 8.55/8.73 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
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #27: input, references = 5, size of lhs = 18:
% 8.55/8.73 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
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #28: input, references = 3, size of lhs = 12:
% 8.55/8.73 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
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #29: input, references = 3, size of lhs = 12:
% 8.55/8.73 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
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #30: input, references = 4, size of lhs = 10:
% 8.55/8.73 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
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #31: input, references = 4, size of lhs = 4:
% 8.55/8.73 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V2), aScalar0-{F}(V3) | sdtlseqdt0-{T}(V3,V3)
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #32: input, references = 7, size of lhs = 8:
% 8.55/8.73 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
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #33: input, references = 3, size of lhs = 8:
% 8.55/8.73 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)
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #34: input, references = 7, size of lhs = 11:
% 8.55/8.73 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)
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #35: input, references = 4, size of lhs = 12:
% 8.55/8.73 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)
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #36: input, references = 7, size of lhs = 5:
% 8.55/8.73 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)
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #37: input, references = 3, size of lhs = 9:
% 8.55/8.73 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)
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #38: input, references = 3, size of lhs = 9:
% 8.55/8.73 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)
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #39: input, references = 4, size of lhs = 5:
% 8.55/8.73 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)
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #40: input, references = 3, size of lhs = 10:
% 8.55/8.73 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
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #41: input, references = 10, size of lhs = 5:
% 8.55/8.73 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V2), P_aDimensionOf0-{F}(V3,V4), aVector0-{F}(V3) | aNaturalNumber0-{T}(V4)
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #42: input, references = 11, size of lhs = 6:
% 8.55/8.73 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)
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #43: input, references = 6, size of lhs = 7:
% 8.55/8.73 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)
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #44: input, references = 3, size of lhs = 9:
% 8.55/8.73 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
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #45: input, references = 7, size of lhs = 7:
% 8.55/8.73 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)
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #46: input, references = 5, size of lhs = 8:
% 8.55/8.73 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
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #47: input, references = 4, size of lhs = 11:
% 8.55/8.73 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
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #48: input, references = 3, size of lhs = 7:
% 8.55/8.73 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), pppp5-{T}(V3,V4)
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #49: input, references = 3, size of lhs = 1:
% 8.55/8.73 pppp5-{F}(V0,V1) | EXISTS V2: pppp3-{T}(V0,V1,V2)
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #50: input, references = 3, size of lhs = 3:
% 8.55/8.73 pppp3-{F}(V0,V1,V2), P_sdtlbdtrb0-{F}(V1,V2,V4), P_sdtlbdtrb0-{F}(V0,V2,V4) | FALSE
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #51: input, references = 3, size of lhs = 3:
% 8.55/8.73 pppp3-{F}(V0,V1,V2), P_sdtlbdtrb0-{F}(V1,V2,V3), P_sdtlbdtrb0-{F}(V0,V2,V4) | aNaturalNumber0-{T}(V2)
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #52: input, references = 3, size of lhs = 13:
% 8.55/8.73 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
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #53: input, references = 6, size of lhs = 8:
% 8.55/8.73 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)
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #54: input, references = 4, size of lhs = 9:
% 8.55/8.73 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
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #55: input, references = 5, size of lhs = 17:
% 8.55/8.73 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
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #56: input, references = 4, size of lhs = 3:
% 8.55/8.73 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V2) | EXISTS V3: pppp4-{T}(V3,V1)
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #57: input, references = 8, size of lhs = 4:
% 8.55/8.73 pppp4-{F}(V0,V1), P_aDimensionOf0-{F}(V0,V2), P_sdtasasdt0-{F}(V0,V0,V3), sdtlseqdt0-{F}(V1,V3) | FALSE
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #58: input, references = 5, size of lhs = 7:
% 8.55/8.73 pppp4-{F}(V0,V1), P_aDimensionOf0-{F}(V0,V2), P_sdtasasdt0-{F}(V0,V0,V3), P_aDimensionOf0-{F}(V4,V5), P_sdtasasdt0-{F}(V4,V4,V6), aVector0-{F}(V4), iLess0-{F}(V5,V2) | sdtlseqdt0-{T}(V1,V6)
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #59: input, references = 16, size of lhs = 3:
% 8.55/8.73 pppp4-{F}(V0,V1), P_aDimensionOf0-{F}(V0,V2), P_sdtasasdt0-{F}(V0,V0,V3) | aVector0-{T}(V0)
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #60: input, references = 4, size of lhs = 0:
% 8.55/8.73 FALSE | EXISTS V0: P_sz00-{T}(V0)
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #61: input, references = 6, size of lhs = 1:
% 8.55/8.73 #-{F} V0 | EXISTS V1: P_szszuzczcdt0-{T}(V0,V1)
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #62: input, references = 4, size of lhs = 0:
% 8.55/8.73 FALSE | EXISTS V0: P_sz0z00-{T}(V0)
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #63: input, references = 20, size of lhs = 2:
% 8.55/8.73 #-{F} V0, #-{F} V1 | EXISTS V2: P_sdtpldt0-{T}(V0,V1,V2)
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #64: input, references = 12, size of lhs = 2:
% 8.55/8.73 #-{F} V0, #-{F} V1 | EXISTS V2: P_sdtasdt0-{T}(V0,V1,V2)
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #65: input, references = 6, size of lhs = 1:
% 8.55/8.73 #-{F} V0 | EXISTS V1: P_smndt0-{T}(V0,V1)
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #66: input, references = 6, size of lhs = 1:
% 8.55/8.73 #-{F} V0 | EXISTS V1: P_aDimensionOf0-{T}(V0,V1)
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #67: input, references = 7, size of lhs = 2:
% 8.55/8.73 #-{F} V0, #-{F} V1 | EXISTS V2: P_sdtlbdtrb0-{T}(V0,V1,V2)
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #68: input, references = 5, size of lhs = 1:
% 8.55/8.73 #-{F} V0 | EXISTS V1: P_sziznziztdt0-{T}(V0,V1)
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #69: input, references = 14, size of lhs = 2:
% 8.55/8.73 #-{F} V0, #-{F} V1 | EXISTS V2: P_sdtasasdt0-{T}(V0,V1,V2)
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 number of initial rules = 70
% 8.55/8.73
% 8.55/8.73 Simplifiers:
% 8.55/8.73 #70: unsound, references = 3, size of lhs = 3:
% 8.55/8.73 iLess0-{F}(V0,V1), iLess0-{F}(V0,V3), V1 == V3 | FALSE
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #71: unsound, references = 3, size of lhs = 3:
% 8.55/8.73 P_sz00-{F}(V0), P_sz00-{F}(V1), V0 == V1 | FALSE
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #72: unsound, references = 3, size of lhs = 3:
% 8.55/8.73 P_szszuzczcdt0-{F}(V0,V1), P_szszuzczcdt0-{F}(V0,V3), V1 == V3 | FALSE
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #73: unsound, references = 3, size of lhs = 3:
% 8.55/8.73 P_sz0z00-{F}(V0), P_sz0z00-{F}(V1), V0 == V1 | FALSE
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #74: unsound, references = 3, size of lhs = 3:
% 8.55/8.73 P_sdtpldt0-{F}(V0,V1,V2), P_sdtpldt0-{F}(V0,V1,V5), V2 == V5 | FALSE
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #75: unsound, references = 3, size of lhs = 3:
% 8.55/8.73 P_sdtasdt0-{F}(V0,V1,V2), P_sdtasdt0-{F}(V0,V1,V5), V2 == V5 | FALSE
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #76: unsound, references = 3, size of lhs = 3:
% 8.55/8.73 P_smndt0-{F}(V0,V1), P_smndt0-{F}(V0,V3), V1 == V3 | FALSE
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #77: unsound, references = 3, size of lhs = 3:
% 8.55/8.73 P_aDimensionOf0-{F}(V0,V1), P_aDimensionOf0-{F}(V0,V3), V1 == V3 | FALSE
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #78: unsound, references = 3, size of lhs = 3:
% 8.55/8.73 P_sdtlbdtrb0-{F}(V0,V1,V2), P_sdtlbdtrb0-{F}(V0,V1,V5), V2 == V5 | FALSE
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #79: unsound, references = 3, size of lhs = 3:
% 8.55/8.73 P_sziznziztdt0-{F}(V0,V1), P_sziznziztdt0-{F}(V0,V3), V1 == V3 | FALSE
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #80: unsound, references = 3, size of lhs = 3:
% 8.55/8.73 P_sdtasasdt0-{F}(V0,V1,V2), P_sdtasasdt0-{F}(V0,V1,V5), V2 == V5 | FALSE
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #81: unsound, references = 3, size of lhs = 3:
% 8.55/8.73 pppp1-{F}(V0,V1), pppp1-{F}(V0,V3), V1 == V3 | FALSE
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #82: unsound, references = 3, size of lhs = 3:
% 8.55/8.73 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
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #83: unsound, references = 3, size of lhs = 3:
% 8.55/8.73 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
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #84: unsound, references = 3, size of lhs = 3:
% 8.55/8.73 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
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #85: unsound, references = 3, size of lhs = 3:
% 8.55/8.73 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
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #86: unsound, references = 3, size of lhs = 3:
% 8.55/8.73 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
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #87: unsound, references = 3, size of lhs = 3:
% 8.55/8.73 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
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #88: unsound, references = 3, size of lhs = 3:
% 8.55/8.73 pppp3-{F}(V0,V1,V2), pppp3-{F}(V0,V1,V5), V2 == V5 | FALSE
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #89: unsound, references = 3, size of lhs = 3:
% 8.55/8.73 pppp4-{F}(V0,V1), pppp4-{F}(V2,V1), V0 == V2 | FALSE
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #90: unsound, references = 3, size of lhs = 3:
% 8.55/8.73 pppp4-{F}(V0,V1), pppp4-{F}(V2,V3), V1 == V3 | FALSE
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 number of simplifiers = 21
% 8.55/8.73
% 8.55/8.73 Learnt:
% 8.55/8.73 #93: exists( #64, #30 ), references = 1, size of lhs = 8:
% 8.55/8.73 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)
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #111: exists( #63, #106 ), references = 1, size of lhs = 12:
% 8.55/8.73 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}(V3,V1,V6), P_sdtasdt0-{F}(V1,V3,V7), P_smndt0-{F}(V3,V8), P_sdtpldt0-{F}(V3,V8,V9), P_smndt0-{F}(V8,V10) | FALSE
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #112: exists( #63, #107 ), references = 1, size of lhs = 12:
% 8.55/8.73 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}(V3,V1,V6), P_sdtasdt0-{F}(V1,V3,V7), V7 == V1, P_smndt0-{F}(V3,V8), P_sdtpldt0-{F}(V3,V8,V9), P_smndt0-{F}(V8,V10) | FALSE
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #115: exists( #63, #109 ), references = 1, size of lhs = 11:
% 8.55/8.73 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}(V3,V1,V6), P_sdtasdt0-{F}(V1,V3,V7), P_smndt0-{F}(V3,V8), P_smndt0-{F}(V8,V9) | FALSE
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #116: exists( #63, #110 ), references = 1, size of lhs = 11:
% 8.55/8.73 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}(V3,V1,V6), P_sdtasdt0-{F}(V1,V3,V7), V7 == V1, P_smndt0-{F}(V3,V8), P_smndt0-{F}(V8,V9) | FALSE
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #119: exists( #65, #113 ), references = 1, size of lhs = 10:
% 8.55/8.73 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}(V3,V1,V6), P_sdtasdt0-{F}(V1,V3,V7), P_smndt0-{F}(V3,V8) | FALSE
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #120: exists( #65, #114 ), references = 3, size of lhs = 10:
% 8.55/8.73 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}(V3,V1,V6), P_sdtasdt0-{F}(V1,V3,V7), V7 == V1, P_smndt0-{F}(V3,V8) | FALSE
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #125: mergings( V4 == V5, V3 == V6; #122 ), references = 1, size of lhs = 6:
% 8.55/8.73 P_sz00-{F}(V0), P_sz0z00-{F}(V1), aScalar0-{F}(V1), P_sdtpldt0-{F}(V1,V1,V2), P_smndt0-{F}(V1,V3), V3 == V1 | FALSE
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #129: mergings( V4 == V5, V3 == V6, V6 == V0; #121 ), references = 3, size of lhs = 5:
% 8.55/8.73 P_sz00-{F}(V0), P_sz0z00-{F}(V1), aScalar0-{F}(V1), P_smndt0-{F}(V1,V1), P_sdtpldt0-{F}(V1,V1,V2) | P_sdtasdt0-{T}(V1,V1,V1)
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #132: mergings( V3 == V4; #130 ), references = 1, size of lhs = 5:
% 8.55/8.73 P_sz00-{F}(V0), P_sz0z00-{F}(V1), aScalar0-{F}(V1), P_smndt0-{F}(V1,V2), V2 == V1 | FALSE
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #134: exists( #65, #130 ), references = 1, size of lhs = 3:
% 8.55/8.73 P_sz00-{F}(V0), P_sz0z00-{F}(V1), aScalar0-{F}(V1) | P_smndt0-{T}(V1,V1)
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #137: exists( #61, #4 ), references = 2, size of lhs = 1:
% 8.55/8.73 pppp1-{F}(V0,V1) | P_szszuzczcdt0-{T}(V1,V0)
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #143: mergings( V0 == V3; #141 ), references = 1, size of lhs = 5:
% 8.55/8.73 aNaturalNumber0-{F}(V0), P_sz00-{F}(V1), V0 == V1, aNaturalNumber0-{F}(V2), P_szszuzczcdt0-{F}(V2,V0) | pppp1-{T}(V0,V2)
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #156: mergings( V2 == V3, V0 == V4, V4 == V5; #150 ), references = 1, size of lhs = 4:
% 8.55/8.73 P_sz00-{F}(V0), P_sz0z00-{F}(V1), aScalar0-{F}(V1), P_smndt0-{F}(V1,V1) | P_sdtpldt0-{T}(V1,V1,V1)
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #191: mergings( V2 == V5, V3 == V6, V4 == V7, V9 == V10, V10 == V14; #183 ), references = 2, size of lhs = 10:
% 8.55/8.73 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V2), pppp4-{F}(V3,V4), P_sziznziztdt0-{F}(V3,V5), P_aDimensionOf0-{F}(V5,V6), P_szszuzczcdt0-{F}(V6,V7), P_aDimensionOf0-{F}(V3,V8), V8 == V0, V7 == V8 | FALSE
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #209: exists( #64, #120 ), references = 2, size of lhs = 9:
% 8.55/8.73 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), V6 == V1, P_smndt0-{F}(V3,V7) | FALSE
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #211: exists( #63, #208 ), references = 2, size of lhs = 8:
% 8.55/8.73 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V2), aScalar0-{F}(V3), P_sdtpldt0-{F}(V1,V3,V4), P_sdtasdt0-{F}(V1,V3,V5), V5 == V1, P_smndt0-{F}(V3,V6) | FALSE
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #213: exists( #64, #210 ), references = 1, size of lhs = 6:
% 8.55/8.73 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_sdtasdt0-{T}(V1,V3,V1)
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #225: mergings( V0 == V5, V5 == V12, V1 == V6, V6 == V13, V2 == V7, V7 == V14; #218 ), references = 2, size of lhs = 14:
% 8.55/8.73 aScalar0-{F}(V0), aScalar0-{F}(V1), sdtlseqdt0-{F}(V1,V0), aScalar0-{F}(V2), P_sdtpldt0-{F}(V2,V0,V3), aScalar0-{F}(V3), aScalar0-{F}(V4), P_sdtpldt0-{F}(V4,V1,V5), V5 == V3, aScalar0-{F}(V5), sdtlseqdt0-{F}(V3,V5), P_sz00-{F}(V6), P_sz0z00-{F}(V7), P_smndt0-{F}(V7,V8) | sdtlseqdt0-{T}(V2,V4)
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #234: mergings( V0 == V5, V1 == V6, V2 == V7; #229 ), references = 1, size of lhs = 13:
% 8.55/8.73 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V2), aScalar0-{F}(V3), aScalar0-{F}(V4), aScalar0-{F}(V5), P_sdtpldt0-{F}(V5,V3,V6), aScalar0-{F}(V7), sdtlseqdt0-{F}(V7,V5), P_sdtpldt0-{F}(V7,V4,V8), pppp4-{F}(V9,V8), P_sdtasasdt0-{F}(V9,V9,V6), P_aDimensionOf0-{F}(V9,V10) | sdtlseqdt0-{T}(V3,V4)
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #241: mergings( V0 == V5, V5 == V10, V1 == V6, V6 == V11, V2 == V7, V7 == V12; #230 ), references = 1, size of lhs = 11:
% 8.55/8.73 aScalar0-{F}(V0), aScalar0-{F}(V1), aScalar0-{F}(V2), sdtlseqdt0-{F}(V2,V0), P_sdtpldt0-{F}(V2,V1,V3), V1 == V3, P_sdtpldt0-{F}(V0,V3,V1), aScalar0-{F}(V3), P_sz00-{F}(V4), P_sz0z00-{F}(V5), P_smndt0-{F}(V5,V6) | sdtlseqdt0-{T}(V3,V1)
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #254: mergings( V0 == V5, V5 == V12, V1 == V6, V6 == V13, V2 == V7, V7 == V14; #247 ), references = 1, size of lhs = 15:
% 8.55/8.73 aScalar0-{F}(V0), aScalar0-{F}(V1), sdtlseqdt0-{F}(V0,V1), aScalar0-{F}(V2), P_sdtasdt0-{F}(V2,V1,V3), aScalar0-{F}(V3), aScalar0-{F}(V4), P_sdtasdt0-{F}(V4,V0,V5), V5 == V3, aScalar0-{F}(V5), sdtlseqdt0-{F}(V3,V5), P_sz00-{F}(V6), P_sz0z00-{F}(V7), sdtlseqdt0-{F}(V7,V0), P_smndt0-{F}(V7,V8) | sdtlseqdt0-{T}(V2,V4)
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #260: exists( #61, #47 ), references = 2, size of lhs = 10:
% 8.55/8.73 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_sdtlbdtrb0-{F}(V6,V3,V8), P_sdtlbdtrb0-{F}(V4,V3,V9), V8 == V9 | FALSE
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #262: exists( #67, #259 ), references = 1, size of lhs = 8:
% 8.55/8.73 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_sdtlbdtrb0-{F}(V4,V3,V8) | P_sdtlbdtrb0-{T}(V6,V3,V8)
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #279: exists( #64, #25 ), references = 1, size of lhs = 14:
% 8.55/8.73 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_sdtasdt0-{F}(V7,V4,V8), P_sdtasdt0-{F}(V7,V3,V9), P_sdtpldt0-{F}(V8,V9,V10), P_sdtpldt0-{F}(V7,V4,V11), P_sdtasdt0-{F}(V11,V3,V12), P_sdtpldt0-{F}(V9,V6,V13) | P_sdtasdt0-{T}(V7,V5,V10)
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #284: exists( #63, #21 ), references = 2, size of lhs = 15:
% 8.55/8.73 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}(V4,V7,V10), P_sdtasdt0-{F}(V7,V4,V11), P_sdtasdt0-{F}(V11,V3,V12), P_sdtasdt0-{F}(V7,V6,V13), P_sdtasdt0-{F}(V4,V7,V14) | P_sdtpldt0-{T}(V7,V5,V9)
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #289: exists( #67, #260 ), references = 4, size of lhs = 8:
% 8.55/8.73 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_sdtlbdtrb0-{F}(V6,V3,V8) | P_sdtlbdtrb0-{T}(V4,V3,V8)
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #292: disj( #36, input ), references = 1, size of lhs = 8:
% 8.55/8.73 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V2), aScalar0-{F}(V3), aScalar0-{F}(V4), pppp4-{F}(V5,V3), P_sdtasasdt0-{F}(V5,V5,V4), P_aDimensionOf0-{F}(V5,V6) | sdtlseqdt0-{T}(V4,V3)
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #315: mergings( V5 == V8, V4 == V9; #310 ), references = 1, size of lhs = 9:
% 8.55/8.73 P_sz00-{F}(V0), P_sz0z00-{F}(V1), aScalar0-{F}(V2), P_smndt0-{F}(V2,V1), P_sdtasdt0-{F}(V2,V1,V3), P_sdtasdt0-{F}(V1,V2,V4), P_sdtpldt0-{F}(V1,V2,V5), P_smndt0-{F}(V1,V6), V6 == V2 | FALSE
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #318: mergings( V5 == V8, V4 == V9; #312 ), references = 1, size of lhs = 9:
% 8.55/8.73 P_sz00-{F}(V0), P_sz0z00-{F}(V1), aScalar0-{F}(V2), P_smndt0-{F}(V2,V1), P_sdtasdt0-{F}(V2,V1,V3), P_sdtasdt0-{F}(V1,V2,V4), P_sdtpldt0-{F}(V1,V2,V5), V5 == V1, P_smndt0-{F}(V1,V6) | FALSE
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #322: mergings( V4 == V7; #319 ), references = 1, size of lhs = 8:
% 8.55/8.73 P_sz00-{F}(V0), P_sz0z00-{F}(V1), aScalar0-{F}(V2), P_smndt0-{F}(V2,V1), P_sdtasdt0-{F}(V2,V1,V3), P_sdtasdt0-{F}(V1,V2,V4), P_smndt0-{F}(V1,V5), V5 == V2 | FALSE
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #338: exists( #61, #191 ), references = 4, size of lhs = 8:
% 8.55/8.73 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V2), pppp4-{F}(V3,V4), P_sziznziztdt0-{F}(V3,V5), P_aDimensionOf0-{F}(V5,V6), P_aDimensionOf0-{F}(V3,V7), V7 == V0 | P_szszuzczcdt0-{T}(V6,V7)
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #339: exists( #61, #46 ), references = 1, size of lhs = 6:
% 8.55/8.73 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)
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #362: mergings( V3 == V9, V4 == V10, V14 == V20, V16 == V22, V17 == V23, V5 == V11; #354 ), references = 3, size of lhs = 21:
% 8.55/8.73 aScalar0-{F}(V0), P_sz00-{F}(V1), P_sz0z00-{F}(V2), P_smndt0-{F}(V2,V3), aScalar0-{F}(V4), aScalar0-{F}(V5), P_sdtpldt0-{F}(V5,V0,V6), P_sdtpldt0-{F}(V5,V4,V6), P_sdtasdt0-{F}(V5,V0,V7), P_sdtasdt0-{F}(V5,V4,V8), aScalar0-{F}(V9), P_sdtasdt0-{F}(V9,V7,V10), P_sdtpldt0-{F}(V9,V5,V11), P_sdtpldt0-{F}(V11,V0,V12), P_sdtpldt0-{F}(V11,V4,V13), P_sdtpldt0-{F}(V5,V9,V14), V11 == V14, P_sdtasdt0-{F}(V9,V5,V15), P_sdtasdt0-{F}(V15,V0,V16), P_sdtasdt0-{F}(V15,V4,V17), P_sdtasdt0-{F}(V9,V8,V18) | FALSE
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #369: mergings( V3 == V7, V4 == V8, V14 == V19, V16 == V21, V5 == V9; #363 ), references = 1, size of lhs = 19:
% 8.55/8.73 aScalar0-{F}(V0), P_sz00-{F}(V1), P_sz0z00-{F}(V2), P_smndt0-{F}(V2,V3), aScalar0-{F}(V4), aScalar0-{F}(V5), P_sdtpldt0-{F}(V5,V0,V6), P_sdtpldt0-{F}(V5,V4,V6), P_sdtasdt0-{F}(V5,V0,V7), P_sdtasdt0-{F}(V5,V4,V8), aScalar0-{F}(V9), P_sdtasdt0-{F}(V9,V7,V10), P_sdtpldt0-{F}(V9,V5,V11), P_sdtpldt0-{F}(V11,V0,V12), P_sdtpldt0-{F}(V11,V4,V13), P_sdtasdt0-{F}(V9,V5,V14), P_sdtasdt0-{F}(V14,V0,V15), P_sdtasdt0-{F}(V14,V4,V16), P_sdtasdt0-{F}(V9,V8,V17) | P_sdtpldt0-{T}(V5,V9,V11)
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #371: exists( #69, #55 ), references = 1, size of lhs = 15:
% 8.55/8.73 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_sziznziztdt0-{F}(V7,V8), P_sdtasasdt0-{F}(V8,V5,V9), P_sdtlbdtrb0-{F}(V7,V4,V10), P_sdtasdt0-{F}(V10,V6,V11), P_sdtpldt0-{F}(V9,V11,V12) | P_sdtasasdt0-{T}(V7,V3,V12)
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #389: exists( #63, #384 ), references = 1, size of lhs = 12:
% 8.55/8.73 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}(V3,V1,V6), P_sdtasdt0-{F}(V1,V3,V7), P_smndt0-{F}(V3,V8), P_sdtpldt0-{F}(V3,V8,V9), P_smndt0-{F}(V8,V10), V10 == V3 | FALSE
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #391: exists( #63, #387 ), references = 1, size of lhs = 11:
% 8.55/8.73 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}(V3,V1,V6), P_sdtasdt0-{F}(V1,V3,V7), P_smndt0-{F}(V3,V8), P_smndt0-{F}(V8,V9), V9 == V3 | FALSE
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #393: exists( #65, #390 ), references = 4, size of lhs = 9:
% 8.55/8.73 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}(V3,V1,V6), P_sdtasdt0-{F}(V1,V3,V7), P_smndt0-{F}(V3,V8) | P_smndt0-{T}(V8,V3)
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #410: exists( #63, #405 ), references = 2, size of lhs = 12:
% 8.55/8.73 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}(V3,V1,V6), P_sdtasdt0-{F}(V1,V3,V7), P_smndt0-{F}(V3,V8), P_sdtpldt0-{F}(V3,V8,V9), V9 == V1, P_smndt0-{F}(V8,V10) | FALSE
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #411: exists( #63, #406 ), references = 1, size of lhs = 12:
% 8.55/8.73 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}(V3,V1,V6), V6 == V1, P_sdtasdt0-{F}(V1,V3,V7), P_smndt0-{F}(V3,V8), P_sdtpldt0-{F}(V3,V8,V9), P_smndt0-{F}(V8,V10) | FALSE
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #414: exists( #63, #409 ), references = 1, size of lhs = 11:
% 8.55/8.73 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}(V3,V1,V6), V6 == V1, P_sdtasdt0-{F}(V1,V3,V7), P_smndt0-{F}(V3,V8), P_smndt0-{F}(V8,V9) | FALSE
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #422: mergings( V3 == V9, V5 == V11, V6 == V12, V7 == V13, V4 == V10; #416 ), references = 4, size of lhs = 8:
% 8.55/8.73 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,V1,V5), P_sdtpldt0-{F}(V1,V3,V6), P_sdtasdt0-{F}(V1,V3,V7) | P_sdtasdt0-{T}(V3,V1,V1)
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #430: exists( #63, #410 ), references = 1, size of lhs = 10:
% 8.55/8.73 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}(V3,V1,V6), P_sdtasdt0-{F}(V1,V3,V7), P_smndt0-{F}(V3,V8), P_smndt0-{F}(V8,V9) | P_sdtpldt0-{T}(V3,V8,V1)
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #461: mergings( V3 == V4, V4 == V6, V6 == V20, V1 == V21, V14 == V16, V16 == V18, V15 == V17, V17 == V19, V7 == V8, V8 == V9, V9 == V22, V5 == V13, V22 == V21; #445 ), references = 1, size of lhs = 19:
% 8.55/8.73 aScalar0-{F}(V0), aScalar0-{F}(V1), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V1), aScalar0-{F}(V2), sdtlseqdt0-{F}(V0,V2), aScalar0-{F}(V3), P_sdtpldt0-{F}(V3,V2,V4), V1 == V4, aScalar0-{F}(V4), sdtlseqdt0-{F}(V4,V1), aScalar0-{F}(V5), P_smndt0-{F}(V5,V0), P_sdtpldt0-{F}(V1,V5,V6), P_sdtasdt0-{F}(V1,V5,V7), P_sz00-{F}(V8), pppp4-{F}(V9,V3), P_sdtasasdt0-{F}(V9,V9,V5), P_aDimensionOf0-{F}(V9,V10) | FALSE
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #478: mergings( V3 == V4, V4 == V6, V6 == V10, V10 == V23, V1 == V11, V11 == V24, V17 == V19, V19 == V21, V18 == V20, V20 == V22, V7 == V8, V8 == V9, V9 == V12, V12 == V25, V5 == V16, V25 == V24; #446 ), references = 3, size of lhs = 17:
% 8.55/8.73 aScalar0-{F}(V0), aScalar0-{F}(V1), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V1), aScalar0-{F}(V2), sdtlseqdt0-{F}(V0,V2), aScalar0-{F}(V3), P_sdtpldt0-{F}(V3,V2,V4), V4 == V1, aScalar0-{F}(V4), sdtlseqdt0-{F}(V4,V1), aScalar0-{F}(V5), sdtlseqdt0-{F}(V5,V3), P_smndt0-{F}(V5,V0), P_sdtpldt0-{F}(V1,V5,V6), P_sdtasdt0-{F}(V1,V5,V7), P_sz00-{F}(V8) | FALSE
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #499: mergings( V3 == V5, V1 == V6, V0 == V9, V10 == V12, V11 == V15, V13 == V14, V4 == V7, V7 == V6; #490 ), references = 1, size of lhs = 10:
% 8.55/8.73 aScalar0-{F}(V0), P_sz0z00-{F}(V0), P_smndt0-{F}(V0,V0), P_sz00-{F}(V1), aScalar0-{F}(V2), P_sdtpldt0-{F}(V0,V2,V2), P_smndt0-{F}(V2,V3), P_sdtasdt0-{F}(V0,V2,V4), P_sdtasdt0-{F}(V4,V0,V5), P_sdtasdt0-{F}(V0,V0,V6) | P_sdtpldt0-{T}(V2,V0,V2)
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #508: exists( #63, #55 ), references = 3, size of lhs = 15:
% 8.55/8.73 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)
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #509: exists( #63, #26 ), references = 1, size of lhs = 14:
% 8.55/8.73 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_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-{T}(V10,V6,V13)
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #517: mergings( V3 == V13, V4 == V14, V5 == V15; #513 ), references = 1, size of lhs = 25:
% 8.55/8.73 aVector0-{F}(V0), P_aDimensionOf0-{F}(V0,V1), P_sziznziztdt0-{F}(V0,V2), P_sdtlbdtrb0-{F}(V0,V1,V3), aScalar0-{F}(V3), aVector0-{F}(V4), P_aDimensionOf0-{F}(V4,V1), P_sdtasasdt0-{F}(V4,V0,V5), P_sziznziztdt0-{F}(V4,V6), P_sdtasasdt0-{F}(V6,V2,V7), P_sdtlbdtrb0-{F}(V4,V1,V8), aScalar0-{F}(V8), P_sz00-{F}(V9), V1 == V9, P_sz0z00-{F}(V10), P_smndt0-{F}(V10,V11), aScalar0-{F}(V12), P_sdtpldt0-{F}(V12,V3,V3), P_sdtasdt0-{F}(V8,V12,V7), aScalar0-{F}(V13), P_sdtpldt0-{F}(V13,V8,V8), P_sdtasdt0-{F}(V13,V12,V14), P_sdtasdt0-{F}(V13,V3,V15), P_sdtpldt0-{F}(V14,V15,V16), P_sdtpldt0-{F}(V16,V5,V17) | P_sdtasdt0-{T}(V8,V3,V17)
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #555: mergings( V2 == V4, V4 == V7, V7 == V21, V3 == V5, V5 == V8, V8 == V17, V6 == V9, V9 == V17; #546 ), references = 3, size of lhs = 25:
% 8.55/8.73 aScalar0-{F}(V0), aVector0-{F}(V1), P_aDimensionOf0-{F}(V1,V2), P_sdtlbdtrb0-{F}(V1,V2,V0), P_sziznziztdt0-{F}(V1,V3), aVector0-{F}(V4), P_aDimensionOf0-{F}(V4,V2), P_sdtlbdtrb0-{F}(V4,V2,V0), P_sdtasasdt0-{F}(V4,V1,V5), aScalar0-{F}(V5), P_sziznziztdt0-{F}(V4,V6), P_sdtasasdt0-{F}(V6,V3,V7), aScalar0-{F}(V7), aScalar0-{F}(V8), V5 == V8, P_sz0z00-{F}(V8), P_smndt0-{F}(V8,V8), sdtlseqdt0-{F}(V5,V8), aScalar0-{F}(V9), sdtlseqdt0-{F}(V9,V7), P_smndt0-{F}(V9,V8), P_sdtpldt0-{F}(V8,V9,V10), P_sdtasdt0-{F}(V8,V9,V11), P_sz00-{F}(V12), V2 == V12 | FALSE
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #577: mergings( V3 == V6, V6 == V9, V9 == V26, V4 == V7, V7 == V10, V10 == V22, V5 == V8, V8 == V11, V11 == V22, V1 == V13, V15 == V17, V18 == V20; #564 ), references = 1, size of lhs = 25:
% 8.55/8.73 aVector0-{F}(V0), aNaturalNumber0-{F}(V1), aVector0-{F}(V2), P_aDimensionOf0-{F}(V2,V1), pppp0-{F}(V2,V3), pppp0-{F}(V3,V0), P_aDimensionOf0-{F}(V0,V4), P_aDimensionOf0-{F}(V3,V5), P_sdtasasdt0-{F}(V2,V2,V6), aScalar0-{F}(V6), P_sziznziztdt0-{F}(V2,V7), P_sdtasasdt0-{F}(V7,V7,V8), aScalar0-{F}(V8), aScalar0-{F}(V9), V6 == V9, P_sz0z00-{F}(V9), P_smndt0-{F}(V9,V9), sdtlseqdt0-{F}(V6,V9), aScalar0-{F}(V10), sdtlseqdt0-{F}(V10,V8), P_smndt0-{F}(V10,V9), P_sdtpldt0-{F}(V9,V10,V11), P_sdtasdt0-{F}(V9,V10,V12), P_sz00-{F}(V13), V1 == V13 | FALSE
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #609: mergings( V7 == V19, V8 == V16, V9 == V16, V2 == V10; #603 ), references = 2, size of lhs = 28:
% 8.55/8.73 aScalar0-{F}(V0), pppp4-{F}(V1,V0), P_aDimensionOf0-{F}(V1,V2), P_sdtasasdt0-{F}(V1,V1,V3), aVector0-{F}(V4), P_aDimensionOf0-{F}(V4,V5), iLess0-{F}(V5,V2), aScalar0-{F}(V6), aVector0-{F}(V7), P_sziznziztdt0-{F}(V7,V4), P_aDimensionOf0-{F}(V7,V8), P_sdtlbdtrb0-{F}(V7,V8,V6), aVector0-{F}(V9), P_aDimensionOf0-{F}(V9,V8), P_sdtlbdtrb0-{F}(V9,V8,V6), P_sziznziztdt0-{F}(V9,V4), P_sdtasasdt0-{F}(V9,V7,V10), aScalar0-{F}(V10), aScalar0-{F}(V11), V10 == V11, P_sz0z00-{F}(V11), P_smndt0-{F}(V11,V11), sdtlseqdt0-{F}(V10,V11), P_smndt0-{F}(V0,V11), P_sdtpldt0-{F}(V11,V0,V12), P_sdtasdt0-{F}(V11,V0,V13), P_sz00-{F}(V14), V8 == V14 | FALSE
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #617: mergings( V7 == V11, V11 == V25, V8 == V12, V12 == V22, V9 == V13, V13 == V22, V2 == V10; #604 ), references = 1, size of lhs = 31:
% 8.55/8.73 aScalar0-{F}(V0), pppp4-{F}(V1,V0), P_aDimensionOf0-{F}(V1,V2), P_sdtasasdt0-{F}(V1,V1,V3), aVector0-{F}(V4), P_aDimensionOf0-{F}(V4,V5), iLess0-{F}(V5,V2), aVector0-{F}(V6), P_sziznziztdt0-{F}(V6,V4), P_aDimensionOf0-{F}(V6,V7), P_sdtlbdtrb0-{F}(V6,V7,V8), aVector0-{F}(V9), P_aDimensionOf0-{F}(V9,V7), P_sziznziztdt0-{F}(V9,V4), P_sdtasasdt0-{F}(V9,V6,V10), aScalar0-{F}(V10), P_sdtlbdtrb0-{F}(V9,V7,V11), P_sdtasdt0-{F}(V11,V8,V12), aScalar0-{F}(V12), aScalar0-{F}(V13), sdtlseqdt0-{F}(V13,V12), P_smndt0-{F}(V0,V13), aScalar0-{F}(V14), V10 == V14, P_sz0z00-{F}(V14), P_smndt0-{F}(V14,V14), sdtlseqdt0-{F}(V10,V14), P_sdtpldt0-{F}(V14,V0,V15), P_sdtasdt0-{F}(V14,V0,V16), P_sz00-{F}(V17), V7 == V17 | FALSE
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #630: mergings( V3 == V6, V6 == V22, V4 == V7, V7 == V19, V5 == V8, V8 == V19, V1 == V16; #622 ), references = 3, size of lhs = 26:
% 8.55/8.73 aVector0-{F}(V0), aNaturalNumber0-{F}(V1), aScalar0-{F}(V2), pppp4-{F}(V3,V2), P_aDimensionOf0-{F}(V3,V4), P_sdtasasdt0-{F}(V3,V3,V5), aVector0-{F}(V6), P_aDimensionOf0-{F}(V6,V7), iLess0-{F}(V7,V4), aVector0-{F}(V8), P_sziznziztdt0-{F}(V8,V6), pppp0-{F}(V8,V0), P_aDimensionOf0-{F}(V8,V1), P_aDimensionOf0-{F}(V0,V9), P_sdtasasdt0-{F}(V8,V8,V10), aScalar0-{F}(V10), aScalar0-{F}(V11), V10 == V11, P_sz0z00-{F}(V11), P_smndt0-{F}(V11,V11), sdtlseqdt0-{F}(V10,V11), P_smndt0-{F}(V2,V11), P_sdtpldt0-{F}(V11,V2,V12), P_sdtasdt0-{F}(V11,V2,V13), P_sz00-{F}(V14), V1 == V14 | FALSE
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #643: mergings( V2 == V5, V5 == V8, V8 == V11, V3 == V6, V6 == V9, V4 == V7, V7 == V10; #635 ), references = 1, size of lhs = 11:
% 8.55/8.73 P_sz0z00-{F}(V0), P_smndt0-{F}(V0,V1), P_sz00-{F}(V2), aNaturalNumber0-{F}(V3), P_szszuzczcdt0-{F}(V3,V4), V4 == V2, P_aDimensionOf0-{F}(V5,V4), pppp4-{F}(V5,V6), P_sziznziztdt0-{F}(V5,V7), pppp0-{F}(V8,V7), P_aDimensionOf0-{F}(V8,V9) | P_aDimensionOf0-{T}(V7,V3)
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #686: mergings( V2 == V5, V5 == V8, V8 == V11, V11 == V14, V14 == V17, V17 == V20, V20 == V26, V26 == V43, V22 == V37, V3 == V6, V6 == V9, V9 == V12, V12 == V15, V15 == V18, V18 == V27, V27 == V39, V4 == V7, V7 == V10, V10 == V13, V13 == V16, V16 == V19, V19 == V28, V28 == V39, V29 == V31, V31 == V33, V33 == V34, V34 == V35, V35 == V36, V36 == V38, V38 == V40, V24 == V30, V23 == V0, V37 == V40, V30 == V32, V32 == V39; #650 ), references = 1, size of lhs = 14:
% 8.55/8.73 aNaturalNumber0-{F}(V0), aNaturalNumber0-{F}(V1), iLess0-{F}(V0,V1), P_szszuzczcdt0-{F}(V0,V1), aScalar0-{F}(V2), P_sz0z00-{F}(V2), P_smndt0-{F}(V2,V2), pppp4-{F}(V3,V2), P_aDimensionOf0-{F}(V3,V1), P_sziznziztdt0-{F}(V3,V4), P_sdtpldt0-{F}(V2,V2,V5), P_sdtasdt0-{F}(V2,V2,V6), P_sz00-{F}(V7), V1 == V7 | P_sdtasasdt0-{T}(V3,V3,V2)
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #725: mergings( V2 == V5, V5 == V8, V8 == V11, V11 == V14, V14 == V17, V17 == V20, V20 == V24, V24 == V41, V22 == V35, V3 == V6, V6 == V9, V9 == V12, V12 == V15, V15 == V18, V18 == V25, V25 == V37, V4 == V7, V7 == V10, V10 == V13, V13 == V16, V16 == V19, V19 == V26, V26 == V37, V35 == V27, V27 == V29, V29 == V31, V31 == V32, V32 == V33, V33 == V34, V34 == V36, V36 == V38, V38 == V43, V23 == V28, V28 == V30, V30 == V37, V37 == V42; #688 ), references = 3, size of lhs = 14:
% 8.55/8.73 aNaturalNumber0-{F}(V0), aNaturalNumber0-{F}(V1), iLess0-{F}(V0,V1), P_szszuzczcdt0-{F}(V0,V1), aScalar0-{F}(V2), P_sz0z00-{F}(V2), P_smndt0-{F}(V2,V2), sdtlseqdt0-{F}(V2,V2), P_sdtpldt0-{F}(V2,V2,V3), P_sdtasdt0-{F}(V2,V2,V4), P_sz00-{F}(V5), V1 == V5, pppp4-{F}(V6,V2), P_aDimensionOf0-{F}(V6,V1) | FALSE
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #729: mergings( V2 == V6; #727 ), references = 3, size of lhs = 5:
% 8.55/8.73 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V2), P_aDimensionOf0-{F}(V3,V0), pppp4-{F}(V3,V4) | P_sdtasasdt0-{T}(V3,V3,V1)
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #740: mergings( V2 == V5, V8 == V10; #737 ), references = 1, size of lhs = 9:
% 8.55/8.73 P_sz0z00-{F}(V0), P_smndt0-{F}(V0,V1), P_sz00-{F}(V2), aNaturalNumber0-{F}(V3), P_szszuzczcdt0-{F}(V3,V4), P_szszuzczcdt0-{F}(V5,V4), V3 == V5, P_aDimensionOf0-{F}(V6,V5), pppp4-{F}(V6,V7) | FALSE
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #750: mergings( V2 == V5, V6 == V8; #747 ), references = 1, size of lhs = 6:
% 8.55/8.73 P_sz0z00-{F}(V0), P_smndt0-{F}(V0,V1), P_sz00-{F}(V2), P_szszuzczcdt0-{F}(V3,V2), P_aDimensionOf0-{F}(V4,V3), pppp4-{F}(V4,V5) | FALSE
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #775: mergings( V2 == V5, V5 == V9, V3 == V6, V4 == V6, V11 == V13, V6 == V12, V10 == V0; #766 ), references = 1, size of lhs = 11:
% 8.55/8.73 aScalar0-{F}(V0), P_sz0z00-{F}(V0), P_smndt0-{F}(V0,V0), sdtlseqdt0-{F}(V0,V0), P_sdtpldt0-{F}(V0,V0,V1), P_sdtasdt0-{F}(V0,V0,V2), P_sz00-{F}(V3), pppp4-{F}(V4,V0), P_aDimensionOf0-{F}(V4,V5), V5 == V3, P_szszuzczcdt0-{F}(V5,V5) | FALSE
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #795: mergings( V2 == V6, V3 == V7, V4 == V8; #789 ), references = 1, size of lhs = 11:
% 8.55/8.73 aNaturalNumber0-{F}(V0), P_sz00-{F}(V1), P_sz0z00-{F}(V2), P_smndt0-{F}(V2,V3), pppp4-{F}(V4,V5), P_aDimensionOf0-{F}(V4,V6), P_sdtlbdtrb0-{F}(V4,V0,V7), P_sdtpldt0-{F}(V2,V7,V8), P_sdtasdt0-{F}(V2,V7,V9), V9 == V2, P_smndt0-{F}(V7,V10) | FALSE
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #799: mergings( V2 == V6, V3 == V7, V4 == V8; #790 ), references = 1, size of lhs = 12:
% 8.55/8.73 aNaturalNumber0-{F}(V0), P_sz00-{F}(V1), P_sz0z00-{F}(V2), P_smndt0-{F}(V2,V3), pppp4-{F}(V4,V5), P_aDimensionOf0-{F}(V4,V6), P_sdtlbdtrb0-{F}(V4,V0,V7), P_sdtpldt0-{F}(V7,V2,V8), P_sdtpldt0-{F}(V2,V7,V9), P_sdtasdt0-{F}(V2,V7,V10), V10 == V2, P_smndt0-{F}(V7,V11) | FALSE
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #803: mergings( V2 == V6, V3 == V7, V4 == V8; #791 ), references = 1, size of lhs = 13:
% 8.55/8.73 aNaturalNumber0-{F}(V0), P_sz00-{F}(V1), P_sz0z00-{F}(V2), P_smndt0-{F}(V2,V3), pppp4-{F}(V4,V5), P_aDimensionOf0-{F}(V4,V6), P_sdtlbdtrb0-{F}(V4,V0,V7), P_sdtpldt0-{F}(V7,V2,V8), P_sdtpldt0-{F}(V2,V7,V9), P_sdtasdt0-{F}(V7,V2,V10), P_sdtasdt0-{F}(V2,V7,V11), V11 == V2, P_smndt0-{F}(V7,V12) | FALSE
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #822: mergings( V2 == V6, V3 == V7, V4 == V8; #816 ), references = 1, size of lhs = 19:
% 8.55/8.73 aNaturalNumber0-{F}(V0), P_sz00-{F}(V1), P_sz0z00-{F}(V2), P_smndt0-{F}(V2,V3), aScalar0-{F}(V4), aScalar0-{F}(V5), P_sdtasdt0-{F}(V5,V4,V6), P_sdtpldt0-{F}(V5,V4,V7), pppp4-{F}(V8,V9), P_aDimensionOf0-{F}(V8,V10), P_sdtlbdtrb0-{F}(V8,V0,V11), P_sdtpldt0-{F}(V4,V11,V12), P_sdtasdt0-{F}(V4,V11,V13), P_sdtasdt0-{F}(V5,V12,V14), P_sdtasdt0-{F}(V5,V11,V15), P_sdtpldt0-{F}(V6,V15,V16), V14 == V16, P_sdtasdt0-{F}(V7,V11,V17), P_sdtpldt0-{F}(V15,V13,V18) | FALSE
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #826: mergings( V2 == V6, V3 == V7, V4 == V8; #817 ), references = 1, size of lhs = 21:
% 8.55/8.73 aNaturalNumber0-{F}(V0), P_sz00-{F}(V1), P_sz0z00-{F}(V2), P_smndt0-{F}(V2,V3), aScalar0-{F}(V4), aScalar0-{F}(V5), P_sdtasdt0-{F}(V5,V4,V6), aScalar0-{F}(V7), P_sdtpldt0-{F}(V7,V5,V8), P_sdtasdt0-{F}(V7,V4,V9), pppp4-{F}(V10,V11), P_aDimensionOf0-{F}(V10,V12), P_sdtlbdtrb0-{F}(V10,V0,V13), P_sdtpldt0-{F}(V4,V13,V14), P_sdtasdt0-{F}(V5,V13,V15), P_sdtpldt0-{F}(V6,V15,V16), P_sdtasdt0-{F}(V8,V14,V17), P_sdtasdt0-{F}(V7,V13,V18), P_sdtpldt0-{F}(V9,V18,V19), P_sdtpldt0-{F}(V19,V16,V20), V17 == V20 | FALSE
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #830: mergings( V2 == V7, V3 == V8, V4 == V9; #818 ), references = 1, size of lhs = 24:
% 8.55/8.73 aNaturalNumber0-{F}(V0), aScalar0-{F}(V1), P_sz00-{F}(V2), P_sz0z00-{F}(V3), P_smndt0-{F}(V3,V4), aScalar0-{F}(V5), aScalar0-{F}(V6), P_sdtpldt0-{F}(V6,V1,V7), P_sdtpldt0-{F}(V6,V5,V7), P_sdtasdt0-{F}(V6,V1,V8), P_sdtasdt0-{F}(V6,V5,V9), pppp4-{F}(V10,V11), P_aDimensionOf0-{F}(V10,V12), P_sdtlbdtrb0-{F}(V10,V0,V13), P_sdtasdt0-{F}(V13,V8,V14), P_sdtpldt0-{F}(V13,V6,V15), P_sdtpldt0-{F}(V15,V1,V16), P_sdtpldt0-{F}(V15,V5,V17), P_sdtpldt0-{F}(V6,V13,V18), V15 == V18, P_sdtasdt0-{F}(V13,V6,V19), P_sdtasdt0-{F}(V19,V1,V20), P_sdtasdt0-{F}(V19,V5,V21), P_sdtasdt0-{F}(V13,V9,V22) | FALSE
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #885: mergings( V2 == V5, V5 == V8, V8 == V11, V11 == V18, V3 == V6, V6 == V9, V9 == V15, V4 == V7, V7 == V10, V10 == V15, V14 == V15, V13 == V19; #871 ), references = 1, size of lhs = 14:
% 8.55/8.73 aNaturalNumber0-{F}(V0), aScalar0-{F}(V1), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V1), sdtlseqdt0-{F}(V1,V1), P_sdtpldt0-{F}(V1,V1,V2), P_sdtasdt0-{F}(V1,V1,V3), P_sz00-{F}(V4), V0 == V4, pppp4-{F}(V5,V1), P_aDimensionOf0-{F}(V5,V0), P_sziznziztdt0-{F}(V5,V6), pppp0-{F}(V7,V6), P_aDimensionOf0-{F}(V7,V8) | FALSE
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #898: mergings( V2 == V5, V5 == V8, V8 == V11, V11 == V26, V3 == V6, V6 == V9, V9 == V23, V4 == V7, V7 == V10, V10 == V23, V13 == V17, V14 == V16; #872 ), references = 1, size of lhs = 25:
% 8.55/8.73 aNaturalNumber0-{F}(V0), aScalar0-{F}(V1), pppp4-{F}(V2,V1), P_aDimensionOf0-{F}(V2,V3), P_sziznziztdt0-{F}(V2,V4), P_sdtasasdt0-{F}(V2,V2,V5), aVector0-{F}(V6), P_aDimensionOf0-{F}(V6,V0), P_sziznziztdt0-{F}(V6,V4), pppp0-{F}(V6,V4), pppp0-{F}(V7,V4), P_aDimensionOf0-{F}(V7,V8), P_sdtasasdt0-{F}(V6,V6,V9), aScalar0-{F}(V9), aScalar0-{F}(V10), V9 == V10, P_sz0z00-{F}(V10), P_smndt0-{F}(V10,V10), sdtlseqdt0-{F}(V9,V10), P_smndt0-{F}(V1,V10), P_sdtpldt0-{F}(V10,V1,V11), P_sdtasdt0-{F}(V10,V1,V12), P_sz00-{F}(V13), V3 == V13, V0 == V13 | FALSE
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #932: mergings( V2 == V5, V5 == V8, V8 == V11, V11 == V14, V14 == V17, V17 == V21, V3 == V6, V6 == V9, V9 == V12, V12 == V15, V15 == V18, V4 == V7, V7 == V10, V10 == V13, V13 == V16, V16 == V18, V23 == V25, V25 == V26, V26 == V30, V18 == V24, V22 == V0, V24 == V29, V0 == V28; #907 ), references = 1, size of lhs = 11:
% 8.55/8.73 aScalar0-{F}(V0), P_sz0z00-{F}(V0), P_smndt0-{F}(V0,V0), sdtlseqdt0-{F}(V0,V0), P_sdtpldt0-{F}(V0,V0,V1), P_sdtasdt0-{F}(V0,V0,V2), P_sz00-{F}(V3), pppp4-{F}(V4,V0), P_sziznziztdt0-{F}(V4,V5), P_aDimensionOf0-{F}(V4,V6), V6 == V3 | FALSE
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #956: mergings( V2 == V5, V5 == V8, V8 == V11, V11 == V14, V14 == V17, V17 == V21, V3 == V6, V6 == V9, V9 == V12, V12 == V15, V15 == V18, V4 == V7, V7 == V10, V10 == V13, V13 == V16, V16 == V18, V23 == V25, V25 == V26, V26 == V28, V18 == V24, V22 == V0, V24 == V27; #933 ), references = 1, size of lhs = 10:
% 8.55/8.73 aScalar0-{F}(V0), P_sz0z00-{F}(V0), P_smndt0-{F}(V0,V0), sdtlseqdt0-{F}(V0,V0), P_sdtpldt0-{F}(V0,V0,V1), P_sdtasdt0-{F}(V0,V0,V2), P_sz00-{F}(V3), pppp4-{F}(V4,V0), P_aDimensionOf0-{F}(V4,V5), V5 == V3 | FALSE
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #976: mergings( V2 == V5, V5 == V8, V8 == V11, V11 == V14, V14 == V17, V17 == V21, V3 == V6, V6 == V9, V9 == V12, V12 == V15, V15 == V18, V4 == V7, V7 == V10, V10 == V13, V13 == V16, V16 == V18, V18 == V22, V22 == V23; #957 ), references = 1, size of lhs = 8:
% 8.55/8.73 aScalar0-{F}(V0), P_sz0z00-{F}(V0), P_smndt0-{F}(V0,V0), sdtlseqdt0-{F}(V0,V0), P_sdtpldt0-{F}(V0,V0,V1), P_sdtasdt0-{F}(V0,V0,V2), P_sz00-{F}(V3), pppp4-{F}(V4,V0) | P_aDimensionOf0-{T}(V4,V3)
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #1005: mergings( V0 == V3, V3 == V9, V9 == V12, V12 == V15, V15 == V6, V6 == V19, V1 == V4, V4 == V7, V7 == V10, V10 == V13, V13 == V16, V16 == V23, V23 == V27, V2 == V5, V5 == V8, V8 == V11, V11 == V14, V14 == V27, V27 == V24, V24 == V28, V28 == V21, V21 == V22, V22 == V25, V25 == V26, V26 == V29, V29 == V30; #978 ), references = 1, size of lhs = 8:
% 8.55/8.73 aScalar0-{F}(V0), P_sz0z00-{F}(V0), P_smndt0-{F}(V0,V0), sdtlseqdt0-{F}(V0,V0), P_sdtpldt0-{F}(V0,V0,V1), P_sdtasdt0-{F}(V0,V0,V2), P_sz00-{F}(V3), pppp4-{F}(V4,V0) | P_aDimensionOf0-{T}(V4,V3)
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #1033: mergings( V0 == V4, V4 == V11, V11 == V14, V14 == V17, V17 == V20, V20 == V23, V23 == V26, V5 == V7, V7 == V9, V9 == V12, V12 == V15, V15 == V1, V1 == V21, V21 == V24, V24 == V27, V6 == V8, V8 == V10, V10 == V13, V13 == V16, V16 == V27, V27 == V2, V2 == V22, V22 == V25, V25 == V28; #1008 ), references = 1, size of lhs = 7:
% 8.55/8.73 aScalar0-{F}(V0), P_sz0z00-{F}(V0), sdtlseqdt0-{F}(V0,V0), P_smndt0-{F}(V0,V0), P_sdtpldt0-{F}(V0,V0,V1), P_sdtasdt0-{F}(V0,V0,V2), P_sz00-{F}(V3) | FALSE
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #1053: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14; #1039 ), references = 1, size of lhs = 1:
% 8.55/8.73 P_sz00-{F}(V0) | FALSE
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 #1055: exists( #60, #1039 ), references = 1, size of lhs = 0:
% 8.55/8.73 FALSE | FALSE
% 8.55/8.73 (used 0 times, uses = {})
% 8.55/8.73
% 8.55/8.73 number of learnt formulas = 77
% 8.55/8.73
% 8.55/8.73
% 8.55/8.73 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.55/8.73
% 8.55/8.73 randbase = 1
%------------------------------------------------------------------------------