TSTP Solution File: RNG046+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : RNG046+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n007.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 17.18s 17.35s
% Output : Refutation 17.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : RNG046+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 : n007.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 07:29:11 EDT 2022
% 0.12/0.33 % CPUTime :
% 17.18/17.35 GeoParameters:
% 17.18/17.35
% 17.18/17.35 tptp_input = 1
% 17.18/17.35 tptp_output = 0
% 17.18/17.35 nonempty = 1
% 17.18/17.35 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 17.18/17.35 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 17.18/17.35
% 17.18/17.35
% 17.18/17.35 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 17.18/17.35 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 17.18/17.35
% 17.18/17.35 RuleSystem INPUT:
% 17.18/17.35
% 17.18/17.35 Initial Rules:
% 17.18/17.35 #0: input, references = 3, size of lhs = 1:
% 17.18/17.35 P_sz00-{F}(V0) | aNaturalNumber0-{T}(V0)
% 17.18/17.35 (used 0 times, uses = {})
% 17.18/17.35
% 17.18/17.35 #1: input, references = 3, size of lhs = 3:
% 17.18/17.35 P_sz00-{F}(V0), P_szszuzczcdt0-{F}(V1,V2), aNaturalNumber0-{F}(V1) | aNaturalNumber0-{T}(V2)
% 17.18/17.35 (used 0 times, uses = {})
% 17.18/17.35
% 17.18/17.35 #2: input, references = 3, size of lhs = 3:
% 17.18/17.35 P_sz00-{F}(V0), P_szszuzczcdt0-{F}(V1,V0), aNaturalNumber0-{F}(V1) | FALSE
% 17.18/17.35 (used 0 times, uses = {})
% 17.18/17.35
% 17.18/17.35 #3: input, references = 4, size of lhs = 3:
% 17.18/17.35 P_sz00-{F}(V0), aNaturalNumber0-{F}(V1), V1 == V0 | EXISTS V2: pppp0-{T}(V1,V2)
% 17.18/17.35 (used 0 times, uses = {})
% 17.18/17.35
% 17.18/17.35 #4: input, references = 4, size of lhs = 3:
% 17.18/17.35 pppp0-{F}(V0,V1), P_szszuzczcdt0-{F}(V1,V2), V0 == V2 | FALSE
% 17.18/17.35 (used 0 times, uses = {})
% 17.18/17.35
% 17.18/17.35 #5: input, references = 4, size of lhs = 2:
% 17.18/17.35 pppp0-{F}(V0,V1), P_szszuzczcdt0-{F}(V1,V2) | aNaturalNumber0-{T}(V1)
% 17.18/17.35 (used 0 times, uses = {})
% 17.18/17.35
% 17.18/17.35 #6: input, references = 4, size of lhs = 6:
% 17.18/17.35 P_sz00-{F}(V0), P_szszuzczcdt0-{F}(V1,V2), aNaturalNumber0-{F}(V1), P_szszuzczcdt0-{F}(V3,V2), aNaturalNumber0-{F}(V3), V3 == V1 | FALSE
% 17.18/17.35 (used 0 times, uses = {})
% 17.18/17.35
% 17.18/17.35 #7: input, references = 3, size of lhs = 3:
% 17.18/17.35 P_sz00-{F}(V0), P_szszuzczcdt0-{F}(V1,V2), aNaturalNumber0-{F}(V1) | iLess0-{T}(V1,V2)
% 17.18/17.35 (used 0 times, uses = {})
% 17.18/17.35
% 17.18/17.35 #8: input, references = 4, size of lhs = 2:
% 17.18/17.35 P_sz00-{F}(V0), P_sz0z00-{F}(V1) | aScalar0-{T}(V1)
% 17.18/17.35 (used 0 times, uses = {})
% 17.18/17.35
% 17.18/17.35 #9: input, references = 3, size of lhs = 5:
% 17.18/17.35 P_sz00-{F}(V0), P_sz0z00-{F}(V1), aScalar0-{F}(V2), P_sdtpldt0-{F}(V3,V2,V4), aScalar0-{F}(V3) | aScalar0-{T}(V4)
% 17.18/17.35 (used 0 times, uses = {})
% 17.18/17.35
% 17.18/17.35 #10: input, references = 4, size of lhs = 5:
% 17.18/17.35 P_sz00-{F}(V0), P_sz0z00-{F}(V1), aScalar0-{F}(V2), P_sdtasdt0-{F}(V3,V2,V4), aScalar0-{F}(V3) | aScalar0-{T}(V4)
% 17.18/17.35 (used 0 times, uses = {})
% 17.18/17.35
% 17.18/17.35 #11: input, references = 5, size of lhs = 4:
% 17.18/17.35 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_smndt0-{F}(V2,V3), aScalar0-{F}(V2) | aScalar0-{T}(V3)
% 17.18/17.35 (used 0 times, uses = {})
% 17.18/17.35
% 17.18/17.35 #12: input, references = 22, size of lhs = 12:
% 17.18/17.35 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) | pppp1-{T}(V3,V1,V4,V5,V6,V7,V9,V10,V11,V2)
% 17.18/17.35 (used 0 times, uses = {})
% 17.18/17.35
% 17.18/17.35 #13: input, references = 7, size of lhs = 2:
% 17.18/17.35 pppp1-{F}(V0,V1,V2,V3,V4,V5,V6,V7,V8,V9), V9 == V1 | FALSE
% 17.18/17.35 (used 0 times, uses = {})
% 17.18/17.35
% 17.18/17.35 #14: input, references = 6, size of lhs = 2:
% 17.18/17.35 pppp1-{F}(V0,V1,V2,V3,V4,V5,V6,V7,V8,V9), V8 == V0 | FALSE
% 17.18/17.35 (used 0 times, uses = {})
% 17.18/17.35
% 17.18/17.35 #15: input, references = 5, size of lhs = 2:
% 17.18/17.35 pppp1-{F}(V0,V1,V2,V3,V4,V5,V6,V7,V8,V9), V7 == V1 | FALSE
% 17.18/17.35 (used 0 times, uses = {})
% 17.18/17.35
% 17.18/17.35 #16: input, references = 4, size of lhs = 2:
% 17.18/17.35 pppp1-{F}(V0,V1,V2,V3,V4,V5,V6,V7,V8,V9), V6 == V1 | FALSE
% 17.18/17.35 (used 0 times, uses = {})
% 17.18/17.35
% 17.18/17.35 #17: input, references = 4, size of lhs = 2:
% 17.18/17.35 pppp1-{F}(V0,V1,V2,V3,V4,V5,V6,V7,V8,V9), V5 == V1 | FALSE
% 17.18/17.35 (used 0 times, uses = {})
% 17.18/17.35
% 17.18/17.35 #18: input, references = 4, size of lhs = 2:
% 17.18/17.35 pppp1-{F}(V0,V1,V2,V3,V4,V5,V6,V7,V8,V9), V4 == V1 | FALSE
% 17.18/17.35 (used 0 times, uses = {})
% 17.18/17.35
% 17.18/17.35 #19: input, references = 7, size of lhs = 2:
% 17.18/17.35 pppp1-{F}(V0,V1,V2,V3,V4,V5,V6,V7,V8,V9), V3 == V0 | FALSE
% 17.18/17.35 (used 0 times, uses = {})
% 17.18/17.35
% 17.18/17.35 #20: input, references = 6, size of lhs = 2:
% 17.18/17.35 pppp1-{F}(V0,V1,V2,V3,V4,V5,V6,V7,V8,V9), V2 == V0 | FALSE
% 17.18/17.35 (used 0 times, uses = {})
% 17.18/17.35
% 17.18/17.35 #21: input, references = 6, size of lhs = 17:
% 17.18/17.35 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
% 17.18/17.35 (used 0 times, uses = {})
% 17.18/17.35
% 17.18/17.35 #22: input, references = 5, size of lhs = 17:
% 17.18/17.35 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
% 17.18/17.35 (used 0 times, uses = {})
% 17.18/17.35
% 17.18/17.35 #23: input, references = 4, size of lhs = 17:
% 17.18/17.35 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
% 17.18/17.35 (used 0 times, uses = {})
% 17.18/17.35
% 17.18/17.35 #24: input, references = 4, size of lhs = 17:
% 17.18/17.35 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
% 17.18/17.35 (used 0 times, uses = {})
% 17.18/17.35
% 17.18/17.35 #25: input, references = 6, size of lhs = 16:
% 17.18/17.35 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
% 17.18/17.35 (used 0 times, uses = {})
% 17.18/17.35
% 17.18/17.35 #26: input, references = 5, size of lhs = 16:
% 17.18/17.35 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
% 17.18/17.35 (used 0 times, uses = {})
% 17.18/17.35
% 17.18/17.35 #27: input, references = 5, size of lhs = 18:
% 17.18/17.35 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
% 17.18/17.35 (used 0 times, uses = {})
% 17.18/17.35
% 17.18/17.35 #28: input, references = 4, size of lhs = 12:
% 17.18/17.35 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
% 17.18/17.35 (used 0 times, uses = {})
% 17.18/17.35
% 17.18/17.35 #29: input, references = 7, size of lhs = 12:
% 17.18/17.35 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
% 17.18/17.35 (used 0 times, uses = {})
% 17.18/17.35
% 17.18/17.35 #30: input, references = 7, size of lhs = 5:
% 17.18/17.35 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V2), P_xx-{F}(V3), P_xy-{F}(V4) | aScalar0-{T}(V3)
% 17.18/17.35 (used 0 times, uses = {})
% 17.18/17.35
% 17.18/17.35 #31: input, references = 7, size of lhs = 5:
% 17.18/17.35 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V2), P_xx-{F}(V3), P_xy-{F}(V4) | aScalar0-{T}(V4)
% 17.18/17.35 (used 0 times, uses = {})
% 17.18/17.35
% 17.18/17.35 #32: input, references = 7, size of lhs = 9:
% 17.18/17.35 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V2), P_xx-{F}(V3), P_xy-{F}(V4), P_smndt0-{F}(V3,V5), P_smndt0-{F}(V4,V6), P_sdtasdt0-{F}(V5,V6,V8), P_sdtasdt0-{F}(V3,V4,V8) | FALSE
% 17.18/17.35 (used 0 times, uses = {})
% 17.18/17.35
% 17.18/17.35 #33: input, references = 4, size of lhs = 0:
% 17.18/17.35 FALSE | EXISTS V0: P_sz00-{T}(V0)
% 17.18/17.35 (used 0 times, uses = {})
% 17.18/17.35
% 17.18/17.35 #34: input, references = 4, size of lhs = 1:
% 17.18/17.35 #-{F} V0 | EXISTS V1: P_szszuzczcdt0-{T}(V0,V1)
% 17.18/17.35 (used 0 times, uses = {})
% 17.18/17.35
% 17.18/17.35 #35: input, references = 4, size of lhs = 0:
% 17.18/17.35 FALSE | EXISTS V0: P_sz0z00-{T}(V0)
% 17.18/17.35 (used 0 times, uses = {})
% 17.18/17.35
% 17.18/17.35 #36: input, references = 28, size of lhs = 2:
% 17.18/17.35 #-{F} V0, #-{F} V1 | EXISTS V2: P_sdtpldt0-{T}(V0,V1,V2)
% 17.18/17.35 (used 0 times, uses = {})
% 17.18/17.35
% 17.18/17.35 #37: input, references = 35, size of lhs = 2:
% 17.18/17.35 #-{F} V0, #-{F} V1 | EXISTS V2: P_sdtasdt0-{T}(V0,V1,V2)
% 17.18/17.35 (used 0 times, uses = {})
% 17.18/17.35
% 17.18/17.35 #38: input, references = 17, size of lhs = 1:
% 17.18/17.35 #-{F} V0 | EXISTS V1: P_smndt0-{T}(V0,V1)
% 17.18/17.35 (used 0 times, uses = {})
% 17.18/17.35
% 17.18/17.35 #39: input, references = 4, size of lhs = 0:
% 17.18/17.35 FALSE | EXISTS V0: P_xx-{T}(V0)
% 17.18/17.35 (used 0 times, uses = {})
% 17.18/17.35
% 17.18/17.35 #40: input, references = 5, size of lhs = 0:
% 17.18/17.35 FALSE | EXISTS V0: P_xy-{T}(V0)
% 17.18/17.35 (used 0 times, uses = {})
% 17.18/17.35
% 17.18/17.35 number of initial rules = 41
% 17.18/17.35
% 17.18/17.35 Simplifiers:
% 17.18/17.35 #41: unsound, references = 3, size of lhs = 3:
% 17.18/17.35 iLess0-{F}(V0,V1), iLess0-{F}(V0,V3), V1 == V3 | FALSE
% 17.18/17.35 (used 0 times, uses = {})
% 17.18/17.35
% 17.18/17.35 #42: unsound, references = 3, size of lhs = 3:
% 17.18/17.35 P_sz00-{F}(V0), P_sz00-{F}(V1), V0 == V1 | FALSE
% 17.18/17.35 (used 0 times, uses = {})
% 17.18/17.35
% 17.18/17.35 #43: unsound, references = 3, size of lhs = 3:
% 17.18/17.35 P_szszuzczcdt0-{F}(V0,V1), P_szszuzczcdt0-{F}(V0,V3), V1 == V3 | FALSE
% 17.18/17.35 (used 0 times, uses = {})
% 17.18/17.35
% 17.18/17.35 #44: unsound, references = 3, size of lhs = 3:
% 17.18/17.35 P_sz0z00-{F}(V0), P_sz0z00-{F}(V1), V0 == V1 | FALSE
% 17.18/17.35 (used 0 times, uses = {})
% 17.18/17.35
% 17.18/17.35 #45: unsound, references = 3, size of lhs = 3:
% 17.18/17.35 P_sdtpldt0-{F}(V0,V1,V2), P_sdtpldt0-{F}(V0,V1,V5), V2 == V5 | FALSE
% 17.18/17.35 (used 0 times, uses = {})
% 17.19/17.35
% 17.19/17.35 #46: unsound, references = 3, size of lhs = 3:
% 17.19/17.35 P_sdtasdt0-{F}(V0,V1,V2), P_sdtasdt0-{F}(V0,V1,V5), V2 == V5 | FALSE
% 17.19/17.35 (used 0 times, uses = {})
% 17.19/17.35
% 17.19/17.35 #47: unsound, references = 3, size of lhs = 3:
% 17.19/17.35 P_smndt0-{F}(V0,V1), P_smndt0-{F}(V0,V3), V1 == V3 | FALSE
% 17.19/17.35 (used 0 times, uses = {})
% 17.19/17.35
% 17.19/17.35 #48: unsound, references = 3, size of lhs = 3:
% 17.19/17.35 P_xx-{F}(V0), P_xx-{F}(V1), V0 == V1 | FALSE
% 17.19/17.35 (used 0 times, uses = {})
% 17.19/17.35
% 17.19/17.35 #49: unsound, references = 3, size of lhs = 3:
% 17.19/17.35 P_xy-{F}(V0), P_xy-{F}(V1), V0 == V1 | FALSE
% 17.19/17.35 (used 0 times, uses = {})
% 17.19/17.35
% 17.19/17.35 #50: unsound, references = 3, size of lhs = 3:
% 17.19/17.35 pppp0-{F}(V0,V1), pppp0-{F}(V0,V3), V1 == V3 | FALSE
% 17.19/17.35 (used 0 times, uses = {})
% 17.19/17.35
% 17.19/17.35 #51: unsound, references = 3, size of lhs = 3:
% 17.19/17.35 pppp1-{F}(V0,V1,V2,V3,V4,V5,V6,V7,V8,V9), pppp1-{F}(V10,V11,V12,V13,V14,V15,V16,V17,V18,V19), V1 == V11 | FALSE
% 17.19/17.35 (used 0 times, uses = {})
% 17.19/17.35
% 17.19/17.35 #52: unsound, references = 3, size of lhs = 3:
% 17.19/17.35 pppp1-{F}(V0,V1,V2,V3,V4,V5,V6,V7,V8,V9), pppp1-{F}(V10,V1,V12,V13,V14,V15,V16,V17,V18,V19), V9 == V19 | FALSE
% 17.19/17.35 (used 0 times, uses = {})
% 17.19/17.35
% 17.19/17.35 #53: unsound, references = 3, size of lhs = 3:
% 17.19/17.35 pppp1-{F}(V0,V1,V2,V3,V4,V5,V6,V7,V8,V9), pppp1-{F}(V0,V1,V12,V13,V14,V15,V16,V17,V18,V19), V2 == V12 | FALSE
% 17.19/17.35 (used 0 times, uses = {})
% 17.19/17.35
% 17.19/17.35 #54: unsound, references = 3, size of lhs = 3:
% 17.19/17.35 pppp1-{F}(V0,V1,V2,V3,V4,V5,V6,V7,V8,V9), pppp1-{F}(V0,V1,V12,V13,V14,V15,V16,V17,V18,V19), V3 == V13 | FALSE
% 17.19/17.35 (used 0 times, uses = {})
% 17.19/17.35
% 17.19/17.35 #55: unsound, references = 3, size of lhs = 3:
% 17.19/17.35 pppp1-{F}(V0,V1,V2,V3,V4,V5,V6,V7,V8,V9), pppp1-{F}(V0,V1,V12,V13,V14,V15,V16,V17,V18,V19), V4 == V14 | FALSE
% 17.19/17.35 (used 0 times, uses = {})
% 17.19/17.35
% 17.19/17.35 #56: unsound, references = 3, size of lhs = 3:
% 17.19/17.35 pppp1-{F}(V0,V1,V2,V3,V4,V5,V6,V7,V8,V9), pppp1-{F}(V0,V1,V12,V13,V14,V15,V16,V17,V18,V19), V5 == V15 | FALSE
% 17.19/17.35 (used 0 times, uses = {})
% 17.19/17.35
% 17.19/17.35 number of simplifiers = 16
% 17.19/17.35
% 17.19/17.35 Learnt:
% 17.19/17.35 #59: exists( #36, #21 ), references = 9, size of lhs = 15:
% 17.19/17.35 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}(V7,V5,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}(V8,V3,V9)
% 17.19/17.35 (used 0 times, uses = {})
% 17.19/17.35
% 17.19/17.35 #61: exists( #37, #27 ), references = 2, size of lhs = 16:
% 17.19/17.35 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), aScalar0-{F}(V6), P_sdtasdt0-{F}(V6,V4,V7), P_sdtasdt0-{F}(V6,V3,V8), P_sdtpldt0-{F}(V7,V8,V9), aScalar0-{F}(V10), P_sdtpldt0-{F}(V10,V6,V11), P_sdtasdt0-{F}(V10,V4,V12), P_sdtasdt0-{F}(V10,V3,V13), P_sdtpldt0-{F}(V12,V13,V14), P_sdtpldt0-{F}(V14,V9,V15) | P_sdtasdt0-{T}(V11,V5,V15)
% 17.19/17.35 (used 0 times, uses = {})
% 17.19/17.35
% 17.19/17.35 #75: mergings( V2 == V13, V3 == V0, V4 == V14, V14 == V15; #68 ), references = 1, size of lhs = 20:
% 17.19/17.35 aScalar0-{F}(V0), aScalar0-{F}(V1), P_sdtpldt0-{F}(V1,V0,V2), P_sz0z00-{F}(V2), aScalar0-{F}(V2), aScalar0-{F}(V3), P_sdtasdt0-{F}(V3,V1,V4), P_sdtasdt0-{F}(V3,V0,V5), P_sdtpldt0-{F}(V4,V5,V2), aScalar0-{F}(V6), P_sdtpldt0-{F}(V6,V3,V2), P_sdtasdt0-{F}(V6,V1,V7), P_sdtasdt0-{F}(V6,V0,V8), P_sdtpldt0-{F}(V7,V8,V2), P_sz00-{F}(V9), P_smndt0-{F}(V2,V10), V10 == V2, P_sdtpldt0-{F}(V2,V10,V11), P_sdtpldt0-{F}(V10,V2,V12), P_smndt0-{F}(V10,V13) | FALSE
% 17.19/17.35 (used 0 times, uses = {})
% 17.19/17.35
% 17.19/17.35 #87: mergings( V3 == V13, V13 == V24, V4 == V1, V1 == V14, V14 == V8, V7 == V12, V5 == V0, V0 == V15, V15 == V25; #77 ), references = 1, size of lhs = 26:
% 17.19/17.35 aScalar0-{F}(V0), aScalar0-{F}(V1), P_sdtpldt0-{F}(V1,V0,V2), V1 == V2, aScalar0-{F}(V2), P_sdtpldt0-{F}(V0,V1,V2), P_sz0z00-{F}(V2), P_smndt0-{F}(V2,V1), P_sdtasdt0-{F}(V1,V0,V3), P_sdtasdt0-{F}(V3,V1,V4), P_sdtasdt0-{F}(V0,V1,V5), P_sdtasdt0-{F}(V1,V5,V6), aScalar0-{F}(V7), aScalar0-{F}(V8), P_sdtpldt0-{F}(V8,V7,V2), aScalar0-{F}(V9), P_sdtasdt0-{F}(V9,V8,V10), P_sdtasdt0-{F}(V9,V7,V11), P_sdtpldt0-{F}(V10,V11,V2), aScalar0-{F}(V12), P_sdtpldt0-{F}(V12,V9,V2), P_sdtasdt0-{F}(V12,V8,V13), P_sdtasdt0-{F}(V12,V7,V14), P_sdtpldt0-{F}(V13,V14,V2), P_sz00-{F}(V15), P_smndt0-{F}(V1,V16) | FALSE
% 17.19/17.35 (used 0 times, uses = {})
% 17.19/17.35
% 17.19/17.35 #93: exists( #37, #28 ), references = 4, size of lhs = 11:
% 17.19/17.35 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_sdtasdt0-{F}(V5,V4,V6), P_sdtasdt0-{F}(V5,V3,V7), P_smndt0-{F}(V7,V8), V6 == V8, P_smndt0-{F}(V5,V9) | FALSE
% 17.19/17.35 (used 0 times, uses = {})
% 17.19/17.35
% 17.19/17.35 #94: exists( #37, #25 ), references = 3, size of lhs = 15:
% 17.19/17.35 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), V8 == V11, P_sdtpldt0-{F}(V7,V4,V12), P_sdtpldt0-{F}(V10,V6,V13) | FALSE
% 17.19/17.35 (used 0 times, uses = {})
% 17.19/17.35
% 17.19/17.35 #97: exists( #37, #90 ), references = 3, size of lhs = 9:
% 17.19/17.35 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_sdtasdt0-{F}(V5,V3,V6), P_smndt0-{F}(V6,V7), P_smndt0-{F}(V5,V8) | P_sdtasdt0-{T}(V5,V4,V7)
% 17.19/17.35 (used 0 times, uses = {})
% 17.19/17.35
% 17.19/17.35 #98: exists( #37, #92 ), references = 1, size of lhs = 13:
% 17.19/17.35 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_sdtpldt0-{F}(V9,V6,V12) | P_sdtasdt0-{T}(V7,V5,V10)
% 17.19/17.35 (used 0 times, uses = {})
% 17.19/17.35
% 17.19/17.35 #100: exists( #37, #29 ), references = 9, size of lhs = 10:
% 17.19/17.35 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_sdtasdt0-{F}(V5,V4,V6), P_sdtasdt0-{F}(V5,V3,V7), P_smndt0-{F}(V7,V8), P_smndt0-{F}(V5,V9) | P_sdtasdt0-{T}(V9,V3,V8)
% 17.19/17.35 (used 0 times, uses = {})
% 17.19/17.35
% 17.19/17.35 #116: mergings( V3 == V10, V4 == V1, V1 == V7, V9 == V12, V5 == V11, V11 == V17; #108 ), references = 1, size of lhs = 15:
% 17.19/17.35 aScalar0-{F}(V0), P_sz0z00-{F}(V1), P_sz00-{F}(V2), aScalar0-{F}(V3), P_sdtpldt0-{F}(V3,V0,V1), P_smndt0-{F}(V3,V1), P_sdtpldt0-{F}(V0,V3,V1), P_sdtasdt0-{F}(V3,V0,V4), P_sdtasdt0-{F}(V0,V3,V5), P_sdtasdt0-{F}(V4,V3,V6), P_sdtasdt0-{F}(V3,V5,V7), P_sdtasdt0-{F}(V3,V1,V8), P_sdtasdt0-{F}(V1,V3,V9), P_smndt0-{F}(V1,V10), V10 == V1 | FALSE
% 17.19/17.35 (used 0 times, uses = {})
% 17.19/17.35
% 17.19/17.35 #123: mergings( V3 == V10, V4 == V1, V1 == V7, V9 == V12, V5 == V11, V11 == V17; #109 ), references = 1, size of lhs = 15:
% 17.19/17.35 aScalar0-{F}(V0), P_sz0z00-{F}(V1), P_sz00-{F}(V2), aScalar0-{F}(V3), P_sdtpldt0-{F}(V3,V0,V1), P_smndt0-{F}(V3,V1), P_sdtpldt0-{F}(V0,V3,V1), P_sdtasdt0-{F}(V3,V0,V4), P_sdtasdt0-{F}(V0,V3,V5), P_sdtasdt0-{F}(V4,V3,V6), P_sdtasdt0-{F}(V3,V5,V7), P_sdtasdt0-{F}(V3,V1,V8), P_sdtasdt0-{F}(V1,V3,V9), P_smndt0-{F}(V1,V10), V10 == V3 | FALSE
% 17.19/17.35 (used 0 times, uses = {})
% 17.19/17.35
% 17.19/17.35 #143: mergings( V2 == V5, V5 == V6, V6 == V7, V7 == V8, V0 == V14, V9 == V12, V12 == V15, V15 == V16, V16 == V17, V14 == V11, V10 == V13; #130 ), references = 1, size of lhs = 10:
% 17.19/17.35 P_xx-{F}(V0), P_xy-{F}(V1), P_sz0z00-{F}(V2), P_smndt0-{F}(V0,V2), P_sdtpldt0-{F}(V0,V0,V2), P_sz00-{F}(V3), P_sdtasdt0-{F}(V0,V0,V4), P_smndt0-{F}(V4,V5), P_sdtasdt0-{F}(V4,V0,V6), P_sdtasdt0-{F}(V0,V4,V7) | P_smndt0-{T}(V2,V2)
% 17.19/17.35 (used 0 times, uses = {})
% 17.19/17.35
% 17.19/17.35 #155: mergings( V2 == V5, V5 == V6, V6 == V7, V7 == V8, V0 == V14, V9 == V12, V12 == V15, V15 == V16, V16 == V17, V14 == V11, V10 == V13; #131 ), references = 1, size of lhs = 10:
% 17.19/17.35 P_xx-{F}(V0), P_xy-{F}(V1), P_sz0z00-{F}(V2), P_smndt0-{F}(V0,V2), P_sdtpldt0-{F}(V0,V0,V2), P_sz00-{F}(V3), P_sdtasdt0-{F}(V0,V0,V4), P_smndt0-{F}(V4,V5), P_sdtasdt0-{F}(V4,V0,V6), P_sdtasdt0-{F}(V0,V4,V7) | P_smndt0-{T}(V2,V0)
% 17.19/17.35 (used 0 times, uses = {})
% 17.19/17.35
% 17.19/17.35 #167: mergings( V4 == V5, V3 == V6; #162 ), references = 1, size of lhs = 9:
% 17.19/17.35 P_sz00-{F}(V0), P_sz0z00-{F}(V1), aScalar0-{F}(V1), P_sdtpldt0-{F}(V1,V1,V2), P_smndt0-{F}(V1,V3), V3 == V1, P_sdtpldt0-{F}(V1,V3,V4), P_sdtpldt0-{F}(V3,V1,V5), P_smndt0-{F}(V3,V6) | FALSE
% 17.19/17.35 (used 0 times, uses = {})
% 17.19/17.35
% 17.19/17.35 #170: mergings( V4 == V5, V3 == V6; #164 ), references = 1, size of lhs = 9:
% 17.19/17.35 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), V5 == V1, P_smndt0-{F}(V3,V6) | FALSE
% 17.19/17.35 (used 0 times, uses = {})
% 17.19/17.35
% 17.19/17.35 #175: mergings( V5 == V6, V4 == V1; #171 ), references = 1, size of lhs = 8:
% 17.19/17.35 P_sz00-{F}(V0), P_sz0z00-{F}(V1), aScalar0-{F}(V1), P_sdtpldt0-{F}(V1,V1,V2), P_smndt0-{F}(V1,V3), V3 == V1, P_sdtpldt0-{F}(V3,V1,V4), P_smndt0-{F}(V3,V5) | FALSE
% 17.19/17.35 (used 0 times, uses = {})
% 17.19/17.35
% 17.19/17.35 #178: mergings( V5 == V6, V4 == V1; #172 ), references = 1, size of lhs = 8:
% 17.19/17.35 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}(V3,V1,V4), V4 == V1, P_smndt0-{F}(V3,V5) | FALSE
% 17.19/17.35 (used 0 times, uses = {})
% 17.19/17.35
% 17.19/17.35 #182: mergings( V3 == V4; #179 ), references = 1, size of lhs = 7:
% 17.19/17.35 P_sz00-{F}(V0), P_sz0z00-{F}(V1), aScalar0-{F}(V1), P_smndt0-{F}(V1,V2), V2 == V1, P_sdtpldt0-{F}(V2,V1,V3), P_smndt0-{F}(V2,V4) | FALSE
% 17.19/17.35 (used 0 times, uses = {})
% 17.19/17.35
% 17.19/17.35 #186: mergings( V3 == V4, V4 == V0, V0 == V6; #180 ), references = 1, size of lhs = 6:
% 17.19/17.35 P_sz00-{F}(V0), P_sz0z00-{F}(V1), aScalar0-{F}(V1), P_smndt0-{F}(V1,V1), P_sdtpldt0-{F}(V1,V1,V2), V2 == V1 | FALSE
% 17.19/17.35 (used 0 times, uses = {})
% 17.19/17.35
% 17.19/17.35 #190: mergings( V4 == V0; #187 ), references = 2, size of lhs = 6:
% 17.19/17.35 P_sz00-{F}(V0), P_sz0z00-{F}(V1), aScalar0-{F}(V1), P_smndt0-{F}(V1,V2), V2 == V1, P_smndt0-{F}(V2,V3) | FALSE
% 17.19/17.35 (used 0 times, uses = {})
% 17.19/17.35
% 17.19/17.35 #194: mergings( V4 == V0, V0 == V1, V1 == V5; #188 ), references = 2, size of lhs = 4:
% 17.19/17.35 P_sz00-{F}(V0), P_sz0z00-{F}(V1), aScalar0-{F}(V1), P_smndt0-{F}(V1,V1) | P_sdtpldt0-{T}(V1,V1,V1)
% 17.19/17.35 (used 0 times, uses = {})
% 17.19/17.35
% 17.19/17.35 #197: exists( #36, #21 ), references = 2, size of lhs = 16:
% 17.19/17.35 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), V9 == 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) | FALSE
% 17.19/17.35 (used 0 times, uses = {})
% 17.19/17.35
% 17.19/17.35 #205: exists( #37, #199 ), references = 2, size of lhs = 12:
% 17.19/17.35 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_smndt0-{F}(V3,V7), P_sdtpldt0-{F}(V3,V7,V8), P_sdtpldt0-{F}(V7,V3,V9), V9 == V1, P_smndt0-{F}(V7,V10) | FALSE
% 17.19/17.35 (used 0 times, uses = {})
% 17.19/17.35
% 17.19/17.35 #206: exists( #37, #200 ), references = 2, size of lhs = 12:
% 17.19/17.35 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_smndt0-{F}(V3,V7), P_sdtpldt0-{F}(V3,V7,V8), V8 == V1, P_sdtpldt0-{F}(V7,V3,V9), P_smndt0-{F}(V7,V10) | FALSE
% 17.19/17.35 (used 0 times, uses = {})
% 17.19/17.35
% 17.19/17.35 #207: exists( #37, #201 ), references = 1, size of lhs = 12:
% 17.19/17.35 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_smndt0-{F}(V3,V7), P_sdtpldt0-{F}(V3,V7,V8), P_sdtpldt0-{F}(V7,V3,V9), P_smndt0-{F}(V7,V10) | FALSE
% 17.19/17.35 (used 0 times, uses = {})
% 17.19/17.35
% 17.19/17.35 #213: mergings( V5 == V7, V4 == V8; #209 ), references = 1, size of lhs = 8:
% 17.19/17.35 P_sz00-{F}(V0), P_sz0z00-{F}(V1), aScalar0-{F}(V2), P_smndt0-{F}(V2,V1), P_sdtasdt0-{F}(V2,V1,V3), P_sdtpldt0-{F}(V2,V1,V4), V4 == V1, P_smndt0-{F}(V1,V5) | FALSE
% 17.19/17.35 (used 0 times, uses = {})
% 17.19/17.35
% 17.19/17.35 #216: mergings( V5 == V7, V4 == V8; #210 ), references = 1, size of lhs = 8:
% 17.19/17.35 P_sz00-{F}(V0), P_sz0z00-{F}(V1), aScalar0-{F}(V2), P_smndt0-{F}(V2,V1), P_sdtasdt0-{F}(V2,V1,V3), P_sdtpldt0-{F}(V2,V1,V4), P_smndt0-{F}(V1,V5), V5 == V1 | FALSE
% 17.19/17.35 (used 0 times, uses = {})
% 17.19/17.35
% 17.19/17.35 #221: mergings( V5 == V6, V4 == V7; #217 ), references = 1, size of lhs = 7:
% 17.19/17.35 P_sz00-{F}(V0), P_sz0z00-{F}(V1), aScalar0-{F}(V2), P_smndt0-{F}(V2,V1), P_sdtpldt0-{F}(V2,V1,V3), V3 == V1, P_smndt0-{F}(V1,V4) | FALSE
% 17.19/17.35 (used 0 times, uses = {})
% 17.19/17.35
% 17.19/17.35 #225: mergings( V5 == V6, V4 == V7, V6 == V1; #218 ), references = 1, size of lhs = 7:
% 17.19/17.35 P_sz00-{F}(V0), P_sz0z00-{F}(V1), aScalar0-{F}(V2), P_smndt0-{F}(V2,V1), P_sdtpldt0-{F}(V2,V1,V1), P_smndt0-{F}(V1,V3), V3 == V1 | FALSE
% 17.19/17.35 (used 0 times, uses = {})
% 17.19/17.35
% 17.19/17.35 #229: mergings( V4 == V5; #227 ), references = 1, size of lhs = 6:
% 17.19/17.35 P_sz00-{F}(V0), P_sz0z00-{F}(V1), aScalar0-{F}(V2), P_smndt0-{F}(V2,V1), P_smndt0-{F}(V1,V3), V3 == V1 | FALSE
% 17.19/17.35 (used 0 times, uses = {})
% 17.19/17.35
% 17.19/17.35 #232: mergings( V4 == V5, V5 == V1; #226 ), references = 1, size of lhs = 5:
% 17.19/17.35 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V1), aScalar0-{F}(V2), P_smndt0-{F}(V2,V1) | P_sdtpldt0-{T}(V2,V1,V1)
% 17.19/17.35 (used 0 times, uses = {})
% 17.19/17.35
% 17.19/17.35 #236: mergings( V2 == V5; #234 ), references = 1, size of lhs = 5:
% 17.19/17.35 P_xx-{F}(V0), P_xy-{F}(V1), P_sz00-{F}(V2), P_sz0z00-{F}(V3), P_smndt0-{F}(V0,V3) | P_smndt0-{T}(V3,V3)
% 17.19/17.35 (used 0 times, uses = {})
% 17.19/17.35
% 17.19/17.35 #244: exists( #38, #93 ), references = 7, size of lhs = 9:
% 17.19/17.35 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_sdtasdt0-{F}(V5,V4,V6), P_sdtasdt0-{F}(V5,V3,V7), P_smndt0-{F}(V5,V8) | P_smndt0-{T}(V7,V6)
% 17.19/17.35 (used 0 times, uses = {})
% 17.19/17.35
% 17.19/17.35 #270: mergings( V3 == V9, V9 == V12, V4 == V1, V1 == V10, V5 == V11, V11 == V13, V10 == V8, V8 == V16, V14 == V17, V15 == V18, V13 == V19, V17 == V16, V19 == V16; #254 ), references = 1, size of lhs = 12:
% 17.19/17.35 aScalar0-{F}(V0), P_smndt0-{F}(V0,V1), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V1), P_sz00-{F}(V2), aScalar0-{F}(V3), V1 == V3, P_smndt0-{F}(V3,V1), P_sdtpldt0-{F}(V3,V1,V1), P_sdtasdt0-{F}(V3,V0,V4), P_sdtasdt0-{F}(V3,V3,V4), P_sdtpldt0-{F}(V1,V3,V5) | FALSE
% 17.19/17.35 (used 0 times, uses = {})
% 17.19/17.35
% 17.19/17.35 #284: mergings( V3 == V9, V9 == V12, V4 == V1, V1 == V10, V5 == V11, V11 == V13, V10 == V8, V8 == V16, V14 == V17, V15 == V18, V13 == V19, V17 == V16, V19 == V16; #255 ), references = 1, size of lhs = 12:
% 17.19/17.35 aScalar0-{F}(V0), P_smndt0-{F}(V0,V1), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V1), P_sz00-{F}(V2), aScalar0-{F}(V3), P_smndt0-{F}(V3,V1), P_sdtpldt0-{F}(V3,V1,V1), P_sdtasdt0-{F}(V3,V0,V4), P_sdtasdt0-{F}(V3,V3,V4), P_sdtpldt0-{F}(V1,V3,V5), V5 == V3 | FALSE
% 17.19/17.35 (used 0 times, uses = {})
% 17.19/17.35
% 17.19/17.35 #298: mergings( V3 == V9, V9 == V12, V4 == V1, V1 == V10, V5 == V11, V11 == V13, V10 == V8, V8 == V16, V14 == V17, V15 == V18, V13 == V19, V17 == V16, V19 == V16; #256 ), references = 1, size of lhs = 12:
% 17.19/17.35 aScalar0-{F}(V0), P_smndt0-{F}(V0,V1), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V1), P_sz00-{F}(V2), aScalar0-{F}(V3), V1 == V3, P_smndt0-{F}(V3,V1), P_sdtpldt0-{F}(V3,V1,V1), P_sdtasdt0-{F}(V3,V0,V4), P_sdtasdt0-{F}(V3,V3,V4), P_sdtpldt0-{F}(V1,V3,V5) | FALSE
% 17.19/17.35 (used 0 times, uses = {})
% 17.19/17.35
% 17.19/17.35 #313: mergings( V3 == V7, V7 == V10, V4 == V0, V0 == V8, V14 == V15, V5 == V9, V9 == V11, V11 == V16, V8 == V13, V15 == V13, V16 == V13; #299 ), references = 1, size of lhs = 11:
% 17.19/17.35 aScalar0-{F}(V0), P_smndt0-{F}(V0,V1), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V1), P_sz00-{F}(V2), aScalar0-{F}(V3), V1 == V3, P_smndt0-{F}(V3,V1), P_sdtpldt0-{F}(V3,V1,V1), P_sdtasdt0-{F}(V3,V0,V4), P_sdtasdt0-{F}(V3,V3,V4) | FALSE
% 17.19/17.35 (used 0 times, uses = {})
% 17.19/17.35
% 17.19/17.35 #325: mergings( V3 == V7, V7 == V10, V4 == V0, V0 == V8, V14 == V15, V5 == V9, V9 == V11, V11 == V16, V8 == V13, V15 == V13, V16 == V13; #301 ), references = 1, size of lhs = 11:
% 17.19/17.35 aScalar0-{F}(V0), P_smndt0-{F}(V0,V1), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V1), P_sz00-{F}(V2), aScalar0-{F}(V3), V1 == V3, P_smndt0-{F}(V3,V1), P_sdtpldt0-{F}(V3,V1,V1), P_sdtasdt0-{F}(V3,V0,V4), P_sdtasdt0-{F}(V3,V3,V4) | FALSE
% 17.19/17.35 (used 0 times, uses = {})
% 17.19/17.35
% 17.19/17.35 #339: mergings( V2 == V6, V6 == V9, V3 == V5, V5 == V7, V12 == V13, V4 == V8, V8 == V10, V10 == V14, V7 == V11, V13 == V11, V14 == V11; #326 ), references = 1, size of lhs = 7:
% 17.19/17.35 P_sz0z00-{F}(V0), P_smndt0-{F}(V0,V0), P_sz00-{F}(V1), aScalar0-{F}(V2), V0 == V2, P_smndt0-{F}(V2,V0), P_sdtpldt0-{F}(V2,V0,V0) | FALSE
% 17.19/17.35 (used 0 times, uses = {})
% 17.19/17.35
% 17.19/17.35 #361: exists( #36, #94 ), references = 2, size of lhs = 12:
% 17.19/17.35 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,V6), P_sdtasdt0-{F}(V7,V3,V6), P_sdtasdt0-{F}(V7,V5,V8), P_sdtpldt0-{F}(V7,V4,V9) | P_sdtpldt0-{T}(V6,V6,V8)
% 17.19/17.35 (used 0 times, uses = {})
% 17.19/17.35
% 17.19/17.35 #362: exists( #36, #25 ), references = 1, size of lhs = 13:
% 17.19/17.35 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,V6), P_sdtasdt0-{F}(V7,V3,V6), P_sdtasdt0-{F}(V7,V5,V8), P_sdtpldt0-{F}(V7,V4,V9), P_sdtasdt0-{F}(V9,V3,V10) | P_sdtpldt0-{T}(V6,V6,V8)
% 17.19/17.35 (used 0 times, uses = {})
% 17.19/17.35
% 17.19/17.35 #365: exists( #36, #94 ), references = 1, size of lhs = 13:
% 17.19/17.35 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}(V7,V4,V11), P_sdtpldt0-{F}(V10,V6,V12) | P_sdtpldt0-{T}(V9,V10,V8)
% 17.19/17.35 (used 0 times, uses = {})
% 17.19/17.35
% 17.19/17.35 #366: exists( #36, #25 ), references = 1, size of lhs = 14:
% 17.19/17.35 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}(V7,V4,V11), P_sdtasdt0-{F}(V11,V3,V12), P_sdtpldt0-{F}(V10,V6,V13) | P_sdtpldt0-{T}(V9,V10,V8)
% 17.19/17.35 (used 0 times, uses = {})
% 17.19/17.35
% 17.19/17.35 #372: mergings( V3 == V11, V4 == V12, V5 == V13; #368 ), references = 8, size of lhs = 24:
% 17.19/17.35 aScalar0-{F}(V0), aScalar0-{F}(V1), P_sdtpldt0-{F}(V1,V0,V2), P_sdtpldt0-{F}(V0,V1,V3), P_sdtasdt0-{F}(V1,V0,V4), P_sdtasdt0-{F}(V0,V1,V5), P_sz00-{F}(V6), P_sz0z00-{F}(V7), P_smndt0-{F}(V7,V8), aScalar0-{F}(V9), P_sdtpldt0-{F}(V0,V9,V10), P_sdtasdt0-{F}(V0,V9,V11), P_sdtpldt0-{F}(V1,V10,V12), P_sdtasdt0-{F}(V1,V11,V13), aScalar0-{F}(V14), P_sdtpldt0-{F}(V14,V9,V15), P_sdtasdt0-{F}(V14,V9,V16), aScalar0-{F}(V17), P_sdtpldt0-{F}(V17,V14,V2), P_sdtasdt0-{F}(V17,V14,V4), P_sdtpldt0-{F}(V17,V15,V18), P_sdtpldt0-{F}(V14,V17,V19), P_sdtasdt0-{F}(V17,V16,V20), P_sdtasdt0-{F}(V14,V17,V21) | P_sdtasdt0-{T}(V4,V9,V20)
% 17.19/17.35 (used 0 times, uses = {})
% 17.19/17.35
% 17.19/17.35 #390: mergings( V6 == V11, V7 == V12, V15 == V17, V17 == V19, V4 == V9, V3 == V20, V16 == V18, V18 == V22, V5 == V10, V10 == V23, V8 == V13; #376 ), references = 1, size of lhs = 14:
% 17.19/17.35 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V2), aScalar0-{F}(V3), aScalar0-{F}(V4), P_sdtasdt0-{F}(V4,V3,V4), P_sdtpldt0-{F}(V4,V3,V5), aScalar0-{F}(V6), P_sdtpldt0-{F}(V4,V6,V7), P_sdtpldt0-{F}(V6,V4,V8), P_sdtpldt0-{F}(V8,V3,V9), P_sdtpldt0-{F}(V6,V5,V10), V9 == V10, P_sdtasdt0-{F}(V4,V6,V11) | FALSE
% 17.19/17.35 (used 0 times, uses = {})
% 17.19/17.35
% 17.19/17.35 #403: mergings( V6 == V11, V7 == V12, V15 == V17, V17 == V19, V4 == V9, V3 == V20, V9 == V23, V16 == V18, V18 == V22, V5 == V10, V10 == V24, V8 == V13; #377 ), references = 1, size of lhs = 14:
% 17.19/17.35 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V2), aScalar0-{F}(V3), aScalar0-{F}(V4), P_sdtasdt0-{F}(V4,V3,V4), P_sdtpldt0-{F}(V4,V3,V5), aScalar0-{F}(V6), P_sdtpldt0-{F}(V6,V4,V7), P_sdtpldt0-{F}(V7,V3,V8), P_sdtpldt0-{F}(V6,V5,V9), V8 == V9, P_sdtpldt0-{F}(V4,V6,V10), P_sdtasdt0-{F}(V4,V6,V11) | FALSE
% 17.19/17.35 (used 0 times, uses = {})
% 17.19/17.35
% 17.19/17.35 #416: mergings( V6 == V11, V7 == V12, V15 == V17, V17 == V19, V4 == V9, V3 == V20, V9 == V23, V16 == V18, V18 == V22, V5 == V10, V10 == V24, V8 == V13; #378 ), references = 1, size of lhs = 14:
% 17.19/17.35 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V2), aScalar0-{F}(V3), aScalar0-{F}(V4), P_sdtasdt0-{F}(V4,V3,V4), P_sdtpldt0-{F}(V4,V3,V5), aScalar0-{F}(V6), P_sdtpldt0-{F}(V6,V4,V7), P_sdtpldt0-{F}(V7,V3,V8), P_sdtpldt0-{F}(V6,V5,V9), P_sdtpldt0-{F}(V4,V6,V10), V7 == V10, P_sdtasdt0-{F}(V4,V6,V11) | FALSE
% 17.19/17.35 (used 0 times, uses = {})
% 17.19/17.35
% 17.19/17.35 #424: exists( #38, #190 ), references = 1, size of lhs = 5:
% 17.19/17.35 P_sz00-{F}(V0), P_sz0z00-{F}(V1), aScalar0-{F}(V1), P_smndt0-{F}(V1,V2), V2 == V1 | FALSE
% 17.19/17.35 (used 0 times, uses = {})
% 17.19/17.35
% 17.19/17.35 #426: exists( #38, #421 ), references = 1, size of lhs = 3:
% 17.19/17.35 P_sz00-{F}(V0), P_sz0z00-{F}(V1), aScalar0-{F}(V1) | P_smndt0-{T}(V1,V1)
% 17.19/17.35 (used 0 times, uses = {})
% 17.19/17.35
% 17.19/17.35 #429: exists( #37, #32 ), references = 1, size of lhs = 7:
% 17.19/17.35 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V2), P_xx-{F}(V3), P_smndt0-{F}(V3,V3), P_xy-{F}(V4), P_smndt0-{F}(V4,V4) | FALSE
% 17.19/17.35 (used 0 times, uses = {})
% 17.19/17.35
% 17.19/17.35 #443: mergings( V3 == V7, V7 == V11, V4 == V8, V8 == V12, V5 == V9, V9 == V13, V6 == V10; #435 ), references = 1, size of lhs = 9:
% 17.19/17.35 aScalar0-{F}(V0), P_xy-{F}(V0), P_smndt0-{F}(V0,V0), aScalar0-{F}(V1), P_xx-{F}(V1), P_sz00-{F}(V2), P_sz0z00-{F}(V3), P_smndt0-{F}(V3,V4), P_smndt0-{F}(V1,V5) | FALSE
% 17.19/17.35 (used 0 times, uses = {})
% 17.19/17.35
% 17.19/17.35 #451: mergings( V2 == V5, V5 == V9, V3 == V6, V6 == V10, V4 == V7, V7 == V11; #444 ), references = 1, size of lhs = 8:
% 17.19/17.35 aScalar0-{F}(V0), P_xy-{F}(V0), P_smndt0-{F}(V0,V0), aScalar0-{F}(V1), P_xx-{F}(V1), P_sz00-{F}(V2), P_sz0z00-{F}(V3), P_smndt0-{F}(V3,V4) | FALSE
% 17.19/17.35 (used 0 times, uses = {})
% 17.19/17.35
% 17.19/17.35 #459: exists( #37, #26 ), references = 1, size of lhs = 14:
% 17.19/17.35 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_sdtpldt0-{F}(V10,V6,V13) | P_sdtasdt0-{T}(V12,V3,V13)
% 17.19/17.35 (used 0 times, uses = {})
% 17.19/17.35
% 17.19/17.35 #471: mergings( V3 == V10, V4 == V1, V1 == V7, V9 == V12, V5 == V11; #464 ), references = 1, size of lhs = 17:
% 17.19/17.35 aScalar0-{F}(V0), P_sz0z00-{F}(V1), P_sz00-{F}(V2), P_smndt0-{F}(V1,V3), aScalar0-{F}(V4), P_sdtpldt0-{F}(V4,V0,V1), P_sdtpldt0-{F}(V0,V4,V1), P_sdtasdt0-{F}(V4,V0,V5), P_sdtasdt0-{F}(V0,V4,V6), P_sdtasdt0-{F}(V5,V4,V7), P_sdtasdt0-{F}(V4,V6,V8), P_sdtasdt0-{F}(V4,V1,V9), P_sdtasdt0-{F}(V1,V4,V10), P_smndt0-{F}(V4,V11), P_sdtpldt0-{F}(V4,V11,V12), P_sdtpldt0-{F}(V11,V4,V13), P_smndt0-{F}(V11,V14) | P_sdtpldt0-{T}(V4,V1,V4)
% 17.19/17.35 (used 0 times, uses = {})
% 17.19/17.35
% 17.19/17.35 #477: mergings( V3 == V10, V4 == V1, V1 == V7, V9 == V12, V5 == V11; #465 ), references = 1, size of lhs = 17:
% 17.19/17.35 aScalar0-{F}(V0), P_sz0z00-{F}(V1), P_sz00-{F}(V2), P_smndt0-{F}(V1,V3), aScalar0-{F}(V4), P_sdtpldt0-{F}(V4,V0,V1), P_sdtpldt0-{F}(V0,V4,V1), P_sdtasdt0-{F}(V4,V0,V5), P_sdtasdt0-{F}(V0,V4,V6), P_sdtasdt0-{F}(V5,V4,V7), P_sdtasdt0-{F}(V4,V6,V8), P_sdtasdt0-{F}(V4,V1,V9), P_sdtasdt0-{F}(V1,V4,V10), P_smndt0-{F}(V4,V11), P_sdtpldt0-{F}(V4,V11,V12), P_sdtpldt0-{F}(V11,V4,V13), P_smndt0-{F}(V11,V14) | P_sdtpldt0-{T}(V4,V1,V4)
% 17.19/17.35 (used 0 times, uses = {})
% 17.19/17.35
% 17.19/17.35 #487: mergings( V3 == V9, V4 == V10, V5 == V11, V6 == V12, V7 == V13, V0 == V8; #480 ), references = 1, size of lhs = 8:
% 17.19/17.35 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,V5), P_sdtasdt0-{F}(V5,V4,V6) | P_sdtasdt0-{T}(V5,V3,V6)
% 17.19/17.35 (used 0 times, uses = {})
% 17.19/17.35
% 17.19/17.35 #508: mergings( V2 == V8, V3 == V9, V5 == V7, V7 == V11, V11 == V13, V6 == V12, V4 == V10; #500 ), references = 3, size of lhs = 8:
% 17.19/17.35 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V2), aScalar0-{F}(V3), P_sdtpldt0-{F}(V3,V3,V4), P_sdtasdt0-{F}(V3,V4,V5), P_sdtasdt0-{F}(V4,V3,V6), V6 == V5 | FALSE
% 17.19/17.35 (used 0 times, uses = {})
% 17.19/17.35
% 17.19/17.35 #529: mergings( V8 == V14, V14 == V21, V9 == V15, V15 == V22, V10 == V16, V16 == V23; #521 ), references = 2, size of lhs = 38:
% 17.19/17.35 aScalar0-{F}(V0), aScalar0-{F}(V1), aScalar0-{F}(V2), P_sz00-{F}(V3), P_sz0z00-{F}(V4), P_smndt0-{F}(V4,V5), aScalar0-{F}(V6), P_sdtpldt0-{F}(V0,V6,V7), P_sdtasdt0-{F}(V0,V6,V8), P_sdtasdt0-{F}(V1,V6,V8), P_sdtasdt0-{F}(V2,V6,V8), P_sdtpldt0-{F}(V1,V6,V9), P_sdtpldt0-{F}(V2,V6,V10), aScalar0-{F}(V11), P_sdtasdt0-{F}(V11,V6,V8), P_sdtpldt0-{F}(V11,V6,V12), aScalar0-{F}(V13), P_sdtpldt0-{F}(V13,V0,V14), P_sdtpldt0-{F}(V13,V1,V14), P_sdtpldt0-{F}(V0,V13,V15), P_sdtasdt0-{F}(V13,V0,V16), P_sdtasdt0-{F}(V13,V1,V16), P_sdtasdt0-{F}(V13,V2,V16), P_sdtasdt0-{F}(V13,V11,V16), P_sdtasdt0-{F}(V0,V13,V17), P_sdtpldt0-{F}(V1,V13,V18), P_sdtasdt0-{F}(V1,V13,V19), P_sdtpldt0-{F}(V13,V2,V20), P_sdtpldt0-{F}(V13,V11,V20), P_sdtpldt0-{F}(V2,V13,V21), P_sdtasdt0-{F}(V2,V13,V22), P_sdtpldt0-{F}(V13,V7,V23), P_sdtpldt0-{F}(V13,V9,V24), P_sdtpldt0-{F}(V13,V10,V25), P_sdtpldt0-{F}(V13,V12,V26), P_sdtpldt0-{F}(V11,V13,V27), P_sdtasdt0-{F}(V11,V13,V28), V16 == V28 | FALSE
% 17.19/17.35 (used 0 times, uses = {})
% 17.19/17.35
% 17.19/17.35 #536: mergings( V8 == V14, V14 == V21, V9 == V15, V15 == V22, V10 == V16, V16 == V23; #522 ), references = 1, size of lhs = 38:
% 17.19/17.35 aScalar0-{F}(V0), aScalar0-{F}(V1), aScalar0-{F}(V2), P_sz00-{F}(V3), P_sz0z00-{F}(V4), P_smndt0-{F}(V4,V5), aScalar0-{F}(V6), P_sdtpldt0-{F}(V0,V6,V7), P_sdtasdt0-{F}(V0,V6,V8), P_sdtasdt0-{F}(V1,V6,V8), P_sdtasdt0-{F}(V2,V6,V8), P_sdtpldt0-{F}(V1,V6,V9), P_sdtpldt0-{F}(V2,V6,V10), aScalar0-{F}(V11), P_sdtasdt0-{F}(V11,V6,V8), P_sdtpldt0-{F}(V11,V6,V12), aScalar0-{F}(V13), P_sdtpldt0-{F}(V13,V0,V14), P_sdtpldt0-{F}(V13,V1,V14), P_sdtpldt0-{F}(V0,V13,V15), P_sdtasdt0-{F}(V13,V0,V16), P_sdtasdt0-{F}(V13,V1,V16), P_sdtasdt0-{F}(V13,V2,V16), P_sdtasdt0-{F}(V13,V11,V16), P_sdtasdt0-{F}(V0,V13,V17), P_sdtpldt0-{F}(V1,V13,V18), P_sdtasdt0-{F}(V1,V13,V19), P_sdtpldt0-{F}(V13,V2,V20), P_sdtpldt0-{F}(V13,V11,V20), P_sdtpldt0-{F}(V2,V13,V21), P_sdtasdt0-{F}(V2,V13,V22), P_sdtpldt0-{F}(V13,V7,V23), P_sdtpldt0-{F}(V13,V9,V24), P_sdtpldt0-{F}(V13,V10,V25), P_sdtpldt0-{F}(V13,V12,V26), P_sdtpldt0-{F}(V11,V13,V27), V20 == V27, P_sdtasdt0-{F}(V11,V13,V28) | FALSE
% 17.19/17.35 (used 0 times, uses = {})
% 17.19/17.35
% 17.19/17.35 #558: mergings( V3 == V6, V6 == V9, V4 == V7, V7 == V10, V13 == V15, V15 == V16, V16 == V17, V18 == V23, V19 == V21, V21 == V24, V24 == V30, V26 == V27, V27 == V28, V28 == V29, V20 == V22, V22 == V25, V25 == V31, V5 == V8, V8 == V11; #538 ), references = 2, size of lhs = 13:
% 17.19/17.35 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V2), aScalar0-{F}(V3), aScalar0-{F}(V4), P_sdtasdt0-{F}(V4,V3,V5), P_sdtpldt0-{F}(V4,V3,V6), aScalar0-{F}(V7), P_sdtpldt0-{F}(V7,V4,V8), P_sdtpldt0-{F}(V7,V6,V9), P_sdtpldt0-{F}(V4,V7,V10), V8 == V10, P_sdtasdt0-{F}(V4,V7,V11) | FALSE
% 17.19/17.35 (used 0 times, uses = {})
% 17.19/17.35
% 17.19/17.35 #572: mergings( V3 == V6, V6 == V9, V4 == V7, V7 == V10, V14 == V16, V16 == V18, V18 == V20, V15 == V17, V17 == V19, V19 == V21, V5 == V8, V8 == V11; #559 ), references = 5, size of lhs = 10:
% 17.19/17.35 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V2), aScalar0-{F}(V3), aScalar0-{F}(V4), P_sdtpldt0-{F}(V4,V3,V4), P_sdtasdt0-{F}(V4,V3,V5), aScalar0-{F}(V6), P_sdtpldt0-{F}(V4,V6,V7), P_sdtasdt0-{F}(V4,V6,V8) | P_sdtpldt0-{T}(V6,V4,V7)
% 17.19/17.35 (used 0 times, uses = {})
% 17.19/17.35
% 17.19/17.35 #588: mergings( V7 == V9, V9 == V10, V10 == V11, V12 == V17, V13 == V15, V15 == V18, V18 == V24, V20 == V21, V21 == V22, V22 == V23, V14 == V16, V16 == V19, V19 == V25; #573 ), references = 8, size of lhs = 12:
% 17.19/17.35 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V2), aScalar0-{F}(V3), aScalar0-{F}(V4), P_sdtasdt0-{F}(V4,V3,V5), P_sdtpldt0-{F}(V4,V3,V6), aScalar0-{F}(V7), P_sdtpldt0-{F}(V7,V4,V8), P_sdtpldt0-{F}(V7,V6,V9), P_sdtpldt0-{F}(V4,V7,V10), P_sdtasdt0-{F}(V4,V7,V11) | P_sdtasdt0-{T}(V7,V4,V11)
% 17.19/17.35 (used 0 times, uses = {})
% 17.19/17.35
% 17.19/17.35 #589: exists( #37, #508 ), references = 1, size of lhs = 6:
% 17.19/17.35 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V2), aScalar0-{F}(V3), P_sdtpldt0-{F}(V3,V3,V4), P_sdtasdt0-{F}(V4,V3,V5) | P_sdtasdt0-{T}(V3,V4,V5)
% 17.19/17.35 (used 0 times, uses = {})
% 17.19/17.35
% 17.19/17.35 #622: mergings( V3 == V6, V6 == V9, V9 == V13, V13 == V17, V17 == V31, V31 == V36, V4 == V7, V7 == V10, V10 == V14, V14 == V18, V18 == V32, V32 == V37, V22 == V23, V23 == V24, V24 == V25, V25 == V26, V26 == V27, V27 == V28, V28 == V29, V5 == V8, V8 == V11, V11 == V15, V15 == V19, V19 == V33, V33 == V38, V30 == V34, V0 == V35; #594 ), references = 1, size of lhs = 16:
% 17.19/17.35 aScalar0-{F}(V0), aScalar0-{F}(V1), aScalar0-{F}(V2), P_xy-{F}(V2), aScalar0-{F}(V3), P_sdtpldt0-{F}(V3,V0,V3), P_sdtpldt0-{F}(V3,V1,V3), P_xx-{F}(V3), P_smndt0-{F}(V3,V3), P_sdtasdt0-{F}(V3,V0,V4), P_sdtasdt0-{F}(V3,V1,V5), P_sdtpldt0-{F}(V3,V2,V6), P_sz00-{F}(V7), P_sz0z00-{F}(V8), P_smndt0-{F}(V8,V9), P_smndt0-{F}(V2,V10) | FALSE
% 17.19/17.35 (used 0 times, uses = {})
% 17.19/17.35
% 17.19/17.35 #644: mergings( V3 == V6, V6 == V9, V9 == V13, V13 == V17, V17 == V20, V20 == V27, V4 == V7, V7 == V10, V10 == V14, V14 == V18, V18 == V21, V21 == V28, V5 == V8, V8 == V11, V11 == V15, V15 == V19, V19 == V22, V22 == V29, V23 == V30, V0 == V26; #623 ), references = 1, size of lhs = 15:
% 17.19/17.35 aScalar0-{F}(V0), aScalar0-{F}(V1), aScalar0-{F}(V2), P_xy-{F}(V2), aScalar0-{F}(V3), P_sdtpldt0-{F}(V3,V0,V3), P_sdtpldt0-{F}(V3,V1,V3), P_xx-{F}(V3), P_smndt0-{F}(V3,V3), P_sdtasdt0-{F}(V3,V0,V4), P_sdtasdt0-{F}(V3,V1,V5), P_sz00-{F}(V6), P_sz0z00-{F}(V7), P_smndt0-{F}(V7,V8), P_smndt0-{F}(V2,V9) | FALSE
% 17.19/17.35 (used 0 times, uses = {})
% 17.19/17.35
% 17.19/17.35 #665: mergings( V2 == V5, V5 == V8, V8 == V12, V12 == V16, V16 == V19, V19 == V26, V3 == V6, V6 == V9, V9 == V13, V13 == V17, V17 == V20, V20 == V27, V4 == V7, V7 == V10, V10 == V14, V14 == V18, V18 == V21, V21 == V28, V22 == V25; #645 ), references = 3, size of lhs = 14:
% 17.19/17.35 aScalar0-{F}(V0), aScalar0-{F}(V1), aScalar0-{F}(V2), P_xy-{F}(V2), aScalar0-{F}(V3), P_sdtpldt0-{F}(V3,V0,V3), P_sdtpldt0-{F}(V3,V1,V3), P_xx-{F}(V3), P_smndt0-{F}(V3,V3), P_sdtasdt0-{F}(V3,V0,V4), P_sdtasdt0-{F}(V3,V1,V5), P_sz00-{F}(V6), P_sz0z00-{F}(V7), P_smndt0-{F}(V7,V8) | FALSE
% 17.19/17.35 (used 0 times, uses = {})
% 17.19/17.35
% 17.19/17.35 #670: exists( #37, #665 ), references = 3, size of lhs = 10:
% 17.19/17.35 aScalar0-{F}(V0), aScalar0-{F}(V1), P_xy-{F}(V1), aScalar0-{F}(V2), P_sdtpldt0-{F}(V2,V0,V2), P_xx-{F}(V2), P_smndt0-{F}(V2,V2), P_sz00-{F}(V3), P_sz0z00-{F}(V4), P_smndt0-{F}(V4,V5) | FALSE
% 17.19/17.35 (used 0 times, uses = {})
% 17.19/17.35
% 17.19/17.35 #672: exists( #37, #558 ), references = 1, size of lhs = 12:
% 17.19/17.35 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V2), aScalar0-{F}(V3), aScalar0-{F}(V4), P_sdtasdt0-{F}(V4,V3,V5), P_sdtpldt0-{F}(V4,V3,V6), aScalar0-{F}(V7), P_sdtpldt0-{F}(V7,V4,V8), P_sdtpldt0-{F}(V7,V6,V9), P_sdtpldt0-{F}(V4,V7,V10), V8 == V10 | FALSE
% 17.19/17.35 (used 0 times, uses = {})
% 17.19/17.35
% 17.19/17.35 #674: exists( #36, #671 ), references = 1, size of lhs = 10:
% 17.19/17.35 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V2), aScalar0-{F}(V3), aScalar0-{F}(V4), P_sdtasdt0-{F}(V4,V3,V5), P_sdtpldt0-{F}(V4,V3,V6), aScalar0-{F}(V7), P_sdtpldt0-{F}(V7,V6,V8), P_sdtpldt0-{F}(V4,V7,V9) | P_sdtpldt0-{T}(V7,V4,V9)
% 17.19/17.35 (used 0 times, uses = {})
% 17.19/17.35
% 17.19/17.35 #690: mergings( V3 == V7, V4 == V1, V11 == V15, V13 == V14, V5 == V8, V8 == V1; #683 ), references = 2, size of lhs = 16:
% 17.19/17.35 aScalar0-{F}(V0), aScalar0-{F}(V1), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V1), P_sz00-{F}(V2), aScalar0-{F}(V3), P_sdtasdt0-{F}(V3,V0,V4), P_sdtpldt0-{F}(V3,V0,V5), P_sdtpldt0-{F}(V1,V5,V6), P_sdtpldt0-{F}(V3,V1,V7), P_sdtpldt0-{F}(V1,V3,V8), V8 == V3, P_smndt0-{F}(V3,V9), P_sdtpldt0-{F}(V3,V9,V10), P_sdtpldt0-{F}(V9,V3,V11), P_smndt0-{F}(V9,V12) | FALSE
% 17.19/17.35 (used 0 times, uses = {})
% 17.19/17.35
% 17.19/17.35 #700: mergings( V3 == V7, V7 == V11, V4 == V8, V8 == V1, V5 == V9, V9 == V12, V12 == V1; #692 ), references = 1, size of lhs = 17:
% 17.19/17.35 aScalar0-{F}(V0), aScalar0-{F}(V1), aScalar0-{F}(V2), P_sz0z00-{F}(V2), P_smndt0-{F}(V2,V2), P_sz00-{F}(V3), aScalar0-{F}(V4), P_sdtasdt0-{F}(V4,V0,V5), P_sdtpldt0-{F}(V4,V0,V6), P_sdtpldt0-{F}(V2,V6,V7), P_sdtasdt0-{F}(V4,V1,V8), P_sdtpldt0-{F}(V4,V1,V9), P_sdtpldt0-{F}(V2,V9,V10), P_smndt0-{F}(V4,V11), P_sdtpldt0-{F}(V4,V11,V12), P_sdtpldt0-{F}(V11,V4,V13), P_smndt0-{F}(V11,V14) | P_sdtpldt0-{T}(V4,V2,V4)
% 17.19/17.35 (used 0 times, uses = {})
% 17.19/17.35
% 17.19/17.35 #718: mergings( V3 == V6, V6 == V10, V10 == V21, V4 == V7, V7 == V9, V9 == V22, V13 == V15, V14 == V16, V5 == V8, V8 == V11, V11 == V23, V0 == V17, V18 == V19, V17 == V20, V23 == V22; #702 ), references = 2, size of lhs = 13:
% 17.19/17.35 aScalar0-{F}(V0), aScalar0-{F}(V1), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V1), aScalar0-{F}(V2), P_xy-{F}(V2), aScalar0-{F}(V3), P_xx-{F}(V3), P_smndt0-{F}(V3,V3), P_sdtpldt0-{F}(V3,V0,V4), P_sdtpldt0-{F}(V1,V4,V5), P_sdtpldt0-{F}(V3,V3,V6), P_sz00-{F}(V7) | FALSE
% 17.19/17.35 (used 0 times, uses = {})
% 17.19/17.35
% 17.19/17.35 #721: exists( #36, #205 ), references = 1, size of lhs = 11:
% 17.19/17.35 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V2), aScalar0-{F}(V3), P_sdtpldt0-{F}(V3,V1,V4), P_sdtasdt0-{F}(V3,V1,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
% 17.19/17.35 (used 0 times, uses = {})
% 17.19/17.35
% 17.19/17.35 #722: exists( #36, #206 ), references = 1, size of lhs = 11:
% 17.19/17.35 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V2), aScalar0-{F}(V3), P_sdtpldt0-{F}(V3,V1,V4), P_sdtasdt0-{F}(V3,V1,V5), P_smndt0-{F}(V3,V6), P_sdtpldt0-{F}(V3,V6,V7), V7 == V1, P_sdtpldt0-{F}(V6,V3,V8), P_smndt0-{F}(V6,V9) | FALSE
% 17.19/17.35 (used 0 times, uses = {})
% 17.19/17.35
% 17.19/17.35 #725: exists( #37, #719 ), references = 1, size of lhs = 10:
% 17.19/17.35 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V2), aScalar0-{F}(V3), P_sdtpldt0-{F}(V3,V1,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
% 17.19/17.35 (used 0 times, uses = {})
% 17.19/17.35
% 17.19/17.35 #726: exists( #37, #720 ), references = 1, size of lhs = 10:
% 17.19/17.35 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V2), aScalar0-{F}(V3), P_sdtpldt0-{F}(V3,V1,V4), P_smndt0-{F}(V3,V5), P_sdtpldt0-{F}(V3,V5,V6), V6 == V1, P_sdtpldt0-{F}(V5,V3,V7), P_smndt0-{F}(V5,V8) | FALSE
% 17.19/17.35 (used 0 times, uses = {})
% 17.19/17.35
% 17.19/17.35 #729: exists( #36, #723 ), references = 2, size of lhs = 9:
% 17.19/17.35 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
% 17.19/17.35 (used 0 times, uses = {})
% 17.19/17.35
% 17.19/17.35 #730: exists( #36, #724 ), references = 2, size of lhs = 9:
% 17.19/17.35 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), V5 == V1, P_sdtpldt0-{F}(V4,V3,V6), P_smndt0-{F}(V4,V7) | FALSE
% 17.19/17.35 (used 0 times, uses = {})
% 17.19/17.35
% 17.19/17.35 #734: mergings( V0 == V5; #731 ), references = 2, size of lhs = 5:
% 17.19/17.35 P_sz00-{F}(V0), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V2), aScalar0-{F}(V3), P_smndt0-{F}(V3,V3) | P_sdtpldt0-{T}(V3,V3,V1)
% 17.19/17.35 (used 0 times, uses = {})
% 17.19/17.35
% 17.19/17.35 #738: exists( #38, #93 ), references = 1, size of lhs = 8:
% 17.19/17.35 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_sdtasdt0-{F}(V5,V3,V5), P_sdtasdt0-{F}(V5,V4,V6) | P_smndt0-{T}(V5,V6)
% 17.19/17.35 (used 0 times, uses = {})
% 17.19/17.35
% 17.19/17.35 #815: mergings( V8 == V14, V9 == V15, V10 == V16; #810 ), references = 1, size of lhs = 23:
% 17.19/17.35 aScalar0-{F}(V0), aScalar0-{F}(V1), aScalar0-{F}(V2), P_sdtpldt0-{F}(V2,V0,V3), P_sdtpldt0-{F}(V2,V1,V3), P_sdtpldt0-{F}(V0,V2,V4), P_sdtasdt0-{F}(V2,V0,V5), P_sdtasdt0-{F}(V2,V1,V5), P_sdtasdt0-{F}(V0,V2,V6), P_sdtpldt0-{F}(V1,V2,V7), P_sdtasdt0-{F}(V1,V2,V8), P_sz00-{F}(V9), P_sz0z00-{F}(V10), P_smndt0-{F}(V10,V11), aScalar0-{F}(V12), P_sdtpldt0-{F}(V12,V12,V5), P_sdtpldt0-{F}(V0,V12,V13), P_sdtasdt0-{F}(V0,V12,V14), P_sdtasdt0-{F}(V1,V12,V14), P_sdtpldt0-{F}(V2,V13,V15), P_sdtpldt0-{F}(V1,V12,V16), P_sdtpldt0-{F}(V2,V16,V17), P_sdtasdt0-{F}(V12,V5,V18) | P_sdtasdt0-{T}(V2,V14,V18)
% 17.19/17.35 (used 0 times, uses = {})
% 17.19/17.35
% 17.19/17.35 #819: mergings( V8 == V14, V9 == V15, V10 == V16; #811 ), references = 1, size of lhs = 27:
% 17.19/17.35 aScalar0-{F}(V0), aScalar0-{F}(V1), aScalar0-{F}(V2), P_sdtpldt0-{F}(V2,V0,V3), P_sdtpldt0-{F}(V2,V1,V3), P_sdtpldt0-{F}(V0,V2,V4), P_sdtasdt0-{F}(V2,V0,V5), P_sdtasdt0-{F}(V2,V1,V5), P_sdtasdt0-{F}(V0,V2,V6), P_sdtpldt0-{F}(V1,V2,V7), P_sdtasdt0-{F}(V1,V2,V8), P_sz00-{F}(V9), P_sz0z00-{F}(V10), P_smndt0-{F}(V10,V11), aScalar0-{F}(V12), P_sdtpldt0-{F}(V0,V12,V13), P_sdtasdt0-{F}(V0,V12,V14), P_sdtasdt0-{F}(V1,V12,V14), P_sdtpldt0-{F}(V2,V13,V15), P_sdtpldt0-{F}(V1,V12,V16), P_sdtpldt0-{F}(V2,V16,V17), P_smndt0-{F}(V12,V18), aScalar0-{F}(V19), P_smndt0-{F}(V19,V5), P_sdtasdt0-{F}(V19,V18,V20), P_sdtasdt0-{F}(V19,V12,V21), P_smndt0-{F}(V21,V22) | P_sdtasdt0-{T}(V2,V14,V22)
% 17.19/17.35 (used 0 times, uses = {})
% 17.19/17.35
% 17.19/17.35 #822: exists( #38, #690 ), references = 1, size of lhs = 15:
% 17.19/17.35 aScalar0-{F}(V0), aScalar0-{F}(V1), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V1), P_sz00-{F}(V2), aScalar0-{F}(V3), P_sdtasdt0-{F}(V3,V0,V4), P_sdtpldt0-{F}(V3,V0,V5), P_sdtpldt0-{F}(V1,V5,V6), P_sdtpldt0-{F}(V3,V1,V7), P_sdtpldt0-{F}(V1,V3,V8), V8 == V3, P_smndt0-{F}(V3,V9), P_sdtpldt0-{F}(V3,V9,V10), P_sdtpldt0-{F}(V9,V3,V11) | FALSE
% 17.19/17.35 (used 0 times, uses = {})
% 17.19/17.35
% 17.19/17.35 #838: mergings( V2 == V7, V7 == V10, V10 == V16, V3 == V8, V8 == V11, V11 == V15, V19 == V23, V4 == V9, V9 == V12, V12 == V15, V6 == V18; #826 ), references = 1, size of lhs = 19:
% 17.19/17.35 aScalar0-{F}(V0), P_smndt0-{F}(V0,V1), aScalar0-{F}(V1), aScalar0-{F}(V2), P_sdtpldt0-{F}(V1,V2,V1), P_sdtasdt0-{F}(V1,V2,V3), aScalar0-{F}(V4), P_sz0z00-{F}(V4), P_smndt0-{F}(V4,V4), P_sz00-{F}(V5), aScalar0-{F}(V6), P_smndt0-{F}(V6,V1), P_sdtasdt0-{F}(V6,V0,V7), P_sdtasdt0-{F}(V6,V6,V7), P_sdtpldt0-{F}(V6,V4,V8), P_sdtpldt0-{F}(V4,V6,V9), V9 == V6, P_sdtpldt0-{F}(V1,V6,V10), P_sdtpldt0-{F}(V4,V10,V11) | FALSE
% 17.19/17.35 (used 0 times, uses = {})
% 17.19/17.35
% 17.19/17.35 #871: mergings( V3 == V5, V5 == V9, V9 == V12, V12 == V16, V16 == V21, V4 == V6, V6 == V10, V10 == V13, V13 == V17, V17 == V22, V7 == V11, V11 == V14, V14 == V18, V18 == V23, V8 == V15; #855 ), references = 2, size of lhs = 14:
% 17.19/17.35 aScalar0-{F}(V0), P_smndt0-{F}(V0,V0), P_sdtpldt0-{F}(V0,V0,V0), aScalar0-{F}(V1), P_sz00-{F}(V2), P_sz0z00-{F}(V3), P_sdtpldt0-{F}(V3,V3,V4), P_smndt0-{F}(V3,V5), P_sdtpldt0-{F}(V4,V4,V6), aScalar0-{F}(V7), P_sdtpldt0-{F}(V7,V7,V1), P_smndt0-{F}(V7,V8), P_sdtpldt0-{F}(V7,V1,V8), P_sdtpldt0-{F}(V3,V6,V9) | P_sdtasdt0-{T}(V7,V0,V9)
% 17.19/17.35 (used 0 times, uses = {})
% 17.19/17.35
% 17.19/17.35 #882: mergings( V1 == V7, V2 == V8, V3 == V9, V4 == V6; #875 ), references = 1, size of lhs = 8:
% 17.19/17.35 aScalar0-{F}(V0), aScalar0-{F}(V1), P_sdtpldt0-{F}(V1,V0,V1), P_xx-{F}(V1), P_smndt0-{F}(V1,V1), P_sz00-{F}(V2), P_sz0z00-{F}(V3), P_smndt0-{F}(V3,V4) | FALSE
% 17.19/17.35 (used 0 times, uses = {})
% 17.19/17.35
% 17.19/17.35 #887: mergings( V1 == V11, V2 == V6, V3 == V6, V4 == V7; #876 ), references = 1, size of lhs = 11:
% 17.19/17.35 aScalar0-{F}(V0), aScalar0-{F}(V1), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V1), aScalar0-{F}(V2), P_xx-{F}(V2), P_smndt0-{F}(V2,V2), P_sdtpldt0-{F}(V2,V0,V3), P_sdtpldt0-{F}(V1,V3,V4), P_sdtpldt0-{F}(V2,V2,V5), P_sz00-{F}(V6) | FALSE
% 17.19/17.35 (used 0 times, uses = {})
% 17.19/17.35
% 17.19/17.35 #892: mergings( V1 == V10, V2 == V11, V3 == V12, V4 == V7; #877 ), references = 1, size of lhs = 12:
% 17.19/17.35 aScalar0-{F}(V0), aScalar0-{F}(V1), aScalar0-{F}(V2), P_sdtpldt0-{F}(V2,V0,V2), P_sdtpldt0-{F}(V2,V1,V2), P_xx-{F}(V2), P_smndt0-{F}(V2,V2), P_sdtasdt0-{F}(V2,V0,V3), P_sdtasdt0-{F}(V2,V1,V4), P_sz00-{F}(V5), P_sz0z00-{F}(V6), P_smndt0-{F}(V6,V7) | FALSE
% 17.19/17.35 (used 0 times, uses = {})
% 17.19/17.35
% 17.19/17.35 #903: exists( #34, #4 ), references = 2, size of lhs = 1:
% 17.19/17.35 pppp0-{F}(V0,V1) | P_szszuzczcdt0-{T}(V1,V0)
% 17.19/17.35 (used 0 times, uses = {})
% 17.19/17.35
% 17.19/17.35 #910: exists( #36, #730 ), references = 1, size of lhs = 8:
% 17.19/17.35 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), V5 == V1, P_smndt0-{F}(V4,V6) | FALSE
% 17.19/17.35 (used 0 times, uses = {})
% 17.19/17.35
% 17.19/17.35 #911: exists( #36, #729 ), references = 2, size of lhs = 7:
% 17.19/17.35 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_smndt0-{F}(V4,V6) | P_sdtpldt0-{T}(V4,V3,V1)
% 17.19/17.35 (used 0 times, uses = {})
% 17.19/17.35
% 17.19/17.35 #913: exists( #36, #908 ), references = 1, size of lhs = 6:
% 17.19/17.35 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}(V3,V4,V1)
% 17.19/17.35 (used 0 times, uses = {})
% 17.19/17.35
% 17.19/17.35 #937: mergings( V3 == V7, V7 == V13, V4 == V8, V8 == V0, V15 == V16, V16 == V17, V5 == V9, V9 == V14, V14 == V0; #925 ), references = 1, size of lhs = 17:
% 17.19/17.35 aScalar0-{F}(V0), aScalar0-{F}(V1), aScalar0-{F}(V2), P_sdtpldt0-{F}(V2,V0,V2), P_sz0z00-{F}(V2), P_sdtpldt0-{F}(V2,V1,V2), P_smndt0-{F}(V2,V2), P_sdtasdt0-{F}(V2,V0,V3), P_sdtasdt0-{F}(V2,V1,V4), P_sz00-{F}(V5), aScalar0-{F}(V6), P_sdtpldt0-{F}(V2,V6,V7), P_smndt0-{F}(V6,V8), P_sdtpldt0-{F}(V6,V8,V9), P_sdtpldt0-{F}(V8,V6,V10), P_smndt0-{F}(V8,V11), V11 == V6 | FALSE
% 17.19/17.35 (used 0 times, uses = {})
% 17.19/17.35
% 17.19/17.35 #947: mergings( V3 == V7, V7 == V13, V4 == V8, V8 == V0, V15 == V16, V16 == V17, V5 == V9, V9 == V14, V14 == V0; #926 ), references = 2, size of lhs = 17:
% 17.19/17.35 aScalar0-{F}(V0), aScalar0-{F}(V1), aScalar0-{F}(V2), P_sdtpldt0-{F}(V2,V0,V2), P_sz0z00-{F}(V2), P_sdtpldt0-{F}(V2,V1,V2), P_smndt0-{F}(V2,V2), P_sdtasdt0-{F}(V2,V0,V3), P_sdtasdt0-{F}(V2,V1,V4), P_sz00-{F}(V5), aScalar0-{F}(V6), P_sdtpldt0-{F}(V2,V6,V7), V7 == V6, P_smndt0-{F}(V6,V8), P_sdtpldt0-{F}(V6,V8,V9), P_sdtpldt0-{F}(V8,V6,V10), P_smndt0-{F}(V8,V11) | FALSE
% 17.19/17.35 (used 0 times, uses = {})
% 17.19/17.35
% 17.19/17.35 #957: mergings( V3 == V7, V7 == V13, V4 == V8, V8 == V0, V15 == V16, V16 == V17, V5 == V9, V9 == V14, V14 == V0; #927 ), references = 2, size of lhs = 17:
% 17.19/17.35 aScalar0-{F}(V0), aScalar0-{F}(V1), aScalar0-{F}(V2), P_sdtpldt0-{F}(V2,V0,V2), P_sz0z00-{F}(V2), P_sdtpldt0-{F}(V2,V1,V2), P_smndt0-{F}(V2,V2), P_sdtasdt0-{F}(V2,V0,V3), P_sdtasdt0-{F}(V2,V1,V4), P_sz00-{F}(V5), aScalar0-{F}(V6), P_sdtpldt0-{F}(V2,V6,V7), V7 == V6, P_smndt0-{F}(V6,V8), P_sdtpldt0-{F}(V6,V8,V9), P_sdtpldt0-{F}(V8,V6,V10), P_smndt0-{F}(V8,V11) | FALSE
% 17.19/17.35 (used 0 times, uses = {})
% 17.19/17.35
% 17.19/17.35 #968: mergings( V3 == V7, V7 == V13, V4 == V8, V8 == V0, V5 == V9, V9 == V14, V14 == V0; #958 ), references = 1, size of lhs = 16:
% 17.19/17.35 aScalar0-{F}(V0), aScalar0-{F}(V1), aScalar0-{F}(V2), P_sdtpldt0-{F}(V2,V0,V2), P_sz0z00-{F}(V2), P_sdtpldt0-{F}(V2,V1,V2), P_smndt0-{F}(V2,V2), P_sdtasdt0-{F}(V2,V0,V3), P_sdtasdt0-{F}(V2,V1,V4), P_sz00-{F}(V5), aScalar0-{F}(V6), P_smndt0-{F}(V6,V7), P_sdtpldt0-{F}(V6,V7,V8), P_sdtpldt0-{F}(V7,V6,V9), P_smndt0-{F}(V7,V10), V10 == V6 | FALSE
% 17.19/17.35 (used 0 times, uses = {})
% 17.19/17.35
% 17.19/17.35 #985: mergings( V2 == V5, V5 == V8, V8 == V12, V12 == V19, V3 == V6, V6 == V9, V9 == V13, V13 == V16, V4 == V7, V7 == V10, V10 == V14, V14 == V20, V20 == V16; #971 ), references = 3, size of lhs = 12:
% 17.19/17.35 aScalar0-{F}(V0), aScalar0-{F}(V1), aScalar0-{F}(V2), P_sdtpldt0-{F}(V2,V0,V2), P_sz0z00-{F}(V2), P_sdtpldt0-{F}(V2,V1,V2), P_smndt0-{F}(V2,V2), P_sdtasdt0-{F}(V2,V0,V3), P_sdtasdt0-{F}(V2,V1,V4), P_sz00-{F}(V5), aScalar0-{F}(V6), P_smndt0-{F}(V6,V7) | P_smndt0-{T}(V7,V6)
% 17.19/17.35 (used 0 times, uses = {})
% 17.19/17.35
% 17.19/17.35 #993: mergings( V0 == V3; #991 ), references = 1, size of lhs = 5:
% 17.19/17.35 aNaturalNumber0-{F}(V0), P_sz00-{F}(V1), V0 == V1, aNaturalNumber0-{F}(V2), P_szszuzczcdt0-{F}(V2,V0) | pppp0-{T}(V0,V2)
% 17.19/17.35 (used 0 times, uses = {})
% 17.19/17.35
% 17.19/17.35 #998: exists( #36, #947 ), references = 1, size of lhs = 15:
% 17.19/17.35 aScalar0-{F}(V0), aScalar0-{F}(V1), aScalar0-{F}(V2), P_sdtpldt0-{F}(V2,V0,V2), P_sz0z00-{F}(V2), P_sdtpldt0-{F}(V2,V1,V2), P_smndt0-{F}(V2,V2), P_sdtasdt0-{F}(V2,V0,V3), P_sdtasdt0-{F}(V2,V1,V4), P_sz00-{F}(V5), aScalar0-{F}(V6), P_smndt0-{F}(V6,V7), P_sdtpldt0-{F}(V6,V7,V8), P_sdtpldt0-{F}(V7,V6,V9), P_smndt0-{F}(V7,V10) | P_sdtpldt0-{T}(V2,V6,V6)
% 17.19/17.35 (used 0 times, uses = {})
% 17.19/17.35
% 17.19/17.35 #999: exists( #36, #957 ), references = 1, size of lhs = 15:
% 17.19/17.35 aScalar0-{F}(V0), aScalar0-{F}(V1), aScalar0-{F}(V2), P_sdtpldt0-{F}(V2,V0,V2), P_sz0z00-{F}(V2), P_sdtpldt0-{F}(V2,V1,V2), P_smndt0-{F}(V2,V2), P_sdtasdt0-{F}(V2,V0,V3), P_sdtasdt0-{F}(V2,V1,V4), P_sz00-{F}(V5), aScalar0-{F}(V6), P_smndt0-{F}(V6,V7), P_sdtpldt0-{F}(V6,V7,V8), P_sdtpldt0-{F}(V7,V6,V9), P_smndt0-{F}(V7,V10) | P_sdtpldt0-{T}(V2,V6,V6)
% 17.19/17.35 (used 0 times, uses = {})
% 17.19/17.35
% 17.19/17.35 #1014: mergings( V3 == V9, V4 == V0, V11 == V14, V13 == V15, V5 == V10, V10 == V0; #1006 ), references = 1, size of lhs = 15:
% 17.19/17.35 aScalar0-{F}(V0), aScalar0-{F}(V1), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V1), P_sdtasdt0-{F}(V1,V0,V2), P_sdtpldt0-{F}(V1,V0,V3), P_sz00-{F}(V4), aScalar0-{F}(V5), P_sdtpldt0-{F}(V5,V3,V6), P_sdtpldt0-{F}(V5,V1,V7), P_sdtpldt0-{F}(V1,V5,V8), P_smndt0-{F}(V5,V9), P_sdtpldt0-{F}(V5,V9,V10), P_sdtpldt0-{F}(V9,V5,V11), P_smndt0-{F}(V9,V12) | P_sdtasdt0-{T}(V1,V5,V1)
% 17.19/17.35 (used 0 times, uses = {})
% 17.19/17.35
% 17.19/17.35 #1021: mergings( V3 == V9, V4 == V0, V11 == V14, V13 == V15, V5 == V10, V10 == V0; #1007 ), references = 1, size of lhs = 15:
% 17.19/17.35 aScalar0-{F}(V0), aScalar0-{F}(V1), P_sz0z00-{F}(V1), P_smndt0-{F}(V1,V1), P_sdtasdt0-{F}(V1,V0,V2), P_sdtpldt0-{F}(V1,V0,V3), P_sz00-{F}(V4), aScalar0-{F}(V5), P_sdtpldt0-{F}(V5,V3,V6), P_sdtpldt0-{F}(V5,V1,V7), P_sdtpldt0-{F}(V1,V5,V8), P_smndt0-{F}(V5,V9), P_sdtpldt0-{F}(V5,V9,V10), P_sdtpldt0-{F}(V9,V5,V11), P_smndt0-{F}(V9,V12) | P_sdtasdt0-{T}(V1,V5,V1)
% 17.19/17.35 (used 0 times, uses = {})
% 17.19/17.35
% 17.19/17.35 #1043: mergings( V3 == V9, V4 == V10, V5 == V11, V6 == V12, V7 == V13, V8 == V14; #1035 ), references = 1, size of lhs = 10:
% 17.19/17.35 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_sdtasdt0-{F}(V5,V4,V6), P_smndt0-{F}(V5,V7), P_sdtasdt0-{F}(V7,V3,V8), V8 == V6 | FALSE
% 17.19/17.35 (used 0 times, uses = {})
% 17.19/17.35
% 17.19/17.35 #1052: mergings( V3 == V9, V9 == V13, V4 == V10, V10 == V14, V5 == V11, V11 == V15, V8 == V18, V6 == V23; #1036 ), references = 1, size of lhs = 16:
% 17.19/17.35 aScalar0-{F}(V0), P_sz00-{F}(V1), P_sz0z00-{F}(V2), P_smndt0-{F}(V2,V3), aScalar0-{F}(V4), P_sdtasdt0-{F}(V4,V0,V5), P_sdtpldt0-{F}(V4,V0,V6), P_smndt0-{F}(V4,V7), aScalar0-{F}(V8), P_sdtpldt0-{F}(V8,V4,V9), P_sdtpldt0-{F}(V8,V6,V10), P_sdtpldt0-{F}(V4,V8,V11), P_sdtasdt0-{F}(V8,V7,V12), P_smndt0-{F}(V8,V13), P_sdtasdt0-{F}(V4,V13,V14), V12 == V14 | FALSE
% 17.19/17.35 (used 0 times, uses = {})
% 17.19/17.35
% 17.19/17.35 #1059: mergings( V3 == V6, V4 == V7, V5 == V8, V10 == V11; #1053 ), references = 1, size of lhs = 8:
% 17.19/17.35 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,V3,V7) | P_sdtasdt0-{T}(V5,V4,V7)
% 17.19/17.35 (used 0 times, uses = {})
% 17.19/17.35
% 17.19/17.35 #1069: mergings( V3 == V6, V6 == V12, V4 == V7, V7 == V13, V5 == V8, V8 == V14, V11 == V0; #1061 ), references = 2, size of lhs = 10:
% 17.19/17.35 aScalar0-{F}(V0), P_xy-{F}(V0), aScalar0-{F}(V1), P_smndt0-{F}(V1,V2), P_xx-{F}(V2), P_smndt0-{F}(V2,V1), P_sz00-{F}(V3), P_sz0z00-{F}(V4), P_smndt0-{F}(V4,V5), P_smndt0-{F}(V0,V6) | FALSE
% 17.19/17.35 (used 0 times, uses = {})
% 17.19/17.35
% 17.19/17.35 #1084: mergings( V2 == V9, V9 == V10, V10 == V13, V13 == V16, V3 == V6, V6 == V11, V11 == V14, V14 == V17, V17 == V12, V12 == V15, V15 == V18; #1072 ), references = 1, size of lhs = 13:
% 17.19/17.35 aScalar0-{F}(V0), aScalar0-{F}(V1), aScalar0-{F}(V2), P_sdtpldt0-{F}(V2,V0,V2), P_sdtpldt0-{F}(V2,V1,V2), P_sz0z00-{F}(V2), P_smndt0-{F}(V2,V2), P_sdtasdt0-{F}(V2,V0,V3), P_sdtasdt0-{F}(V2,V1,V4), P_xx-{F}(V5), aScalar0-{F}(V5), P_xy-{F}(V5), P_sz00-{F}(V6) | FALSE
% 17.19/17.35 (used 0 times, uses = {})
% 17.19/17.35
% 17.19/17.35 #1094: exists( #38, #1069 ), references = 1, size of lhs = 9:
% 17.19/17.35 aScalar0-{F}(V0), P_xy-{F}(V0), aScalar0-{F}(V1), P_smndt0-{F}(V1,V2), P_xx-{F}(V2), P_smndt0-{F}(V2,V1), P_sz00-{F}(V3), P_sz0z00-{F}(V4), P_smndt0-{F}(V4,V5) | FALSE
% 17.19/17.35 (used 0 times, uses = {})
% 17.19/17.35
% 17.19/17.35 #1103: mergings( V2 == V9, V9 == V11, V3 == V6, V6 == V12, V12 == V13; #1097 ), references = 1, size of lhs = 14:
% 17.19/17.35 aScalar0-{F}(V0), aScalar0-{F}(V1), aScalar0-{F}(V2), P_sdtpldt0-{F}(V2,V0,V2), P_sdtpldt0-{F}(V2,V1,V2), P_sz0z00-{F}(V2), P_smndt0-{F}(V2,V2), P_sdtasdt0-{F}(V2,V0,V3), P_sdtasdt0-{F}(V2,V1,V4), aScalar0-{F}(V5), P_xx-{F}(V5), aScalar0-{F}(V6), P_xy-{F}(V6), P_sz00-{F}(V7) | FALSE
% 17.19/17.35 (used 0 times, uses = {})
% 17.19/17.35
% 17.19/17.35 #1119: mergings( V1 == V4, V4 == V8, V8 == V15, V15 == V17, V2 == V5, V5 == V9, V9 == V12, V12 == V18, V3 == V6, V6 == V18, V18 == V19, V7 == V16; #1106 ), references = 1, size of lhs = 11:
% 17.19/17.35 aScalar0-{F}(V0), aScalar0-{F}(V1), aScalar0-{F}(V2), P_sdtpldt0-{F}(V2,V0,V2), P_sdtpldt0-{F}(V2,V1,V2), P_sz0z00-{F}(V2), P_smndt0-{F}(V2,V2), P_sdtasdt0-{F}(V2,V0,V3), P_sdtasdt0-{F}(V2,V1,V4), P_xx-{F}(V5), P_sz00-{F}(V6) | FALSE
% 17.19/17.35 (used 0 times, uses = {})
% 17.19/17.35
% 17.19/17.35 #1132: mergings( V1 == V4, V4 == V7, V7 == V14, V14 == V15, V2 == V5, V5 == V8, V8 == V11, V11 == V16, V3 == V6, V6 == V16, V16 == V17; #1120 ), references = 1, size of lhs = 10:
% 17.19/17.35 aScalar0-{F}(V0), aScalar0-{F}(V1), aScalar0-{F}(V2), P_sdtpldt0-{F}(V2,V0,V2), P_sdtpldt0-{F}(V2,V1,V2), P_sz0z00-{F}(V2), P_smndt0-{F}(V2,V2), P_sdtasdt0-{F}(V2,V0,V3), P_sdtasdt0-{F}(V2,V1,V4), P_sz00-{F}(V5) | FALSE
% 17.19/17.35 (used 0 times, uses = {})
% 17.19/17.35
% 17.19/17.35 #1146: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9; #1137 ), references = 1, size of lhs = 1:
% 17.19/17.35 P_sz00-{F}(V0) | FALSE
% 17.19/17.35 (used 0 times, uses = {})
% 17.19/17.35
% 17.19/17.35 #1148: exists( #33, #1137 ), references = 1, size of lhs = 0:
% 17.19/17.35 FALSE | FALSE
% 17.19/17.35 (used 0 times, uses = {})
% 17.19/17.35
% 17.19/17.35 number of learnt formulas = 113
% 17.19/17.35
% 17.19/17.35
% 17.19/17.35 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 17.19/17.35
% 17.19/17.35 randbase = 1
%------------------------------------------------------------------------------