TSTP Solution File: RNG073+1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : RNG073+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% Computer : n026.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 : Thu Aug 31 13:57:41 EDT 2023
% Result : Theorem 13.00s 2.79s
% Output : Proof 25.66s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : RNG073+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.14/0.33 % Computer : n026.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Sun Aug 27 02:29:48 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.20/0.61 ________ _____
% 0.20/0.61 ___ __ \_________(_)________________________________
% 0.20/0.61 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.20/0.61 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.20/0.61 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.20/0.61
% 0.20/0.61 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.20/0.61 (2023-06-19)
% 0.20/0.61
% 0.20/0.61 (c) Philipp Rümmer, 2009-2023
% 0.20/0.61 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.20/0.61 Amanda Stjerna.
% 0.20/0.61 Free software under BSD-3-Clause.
% 0.20/0.61
% 0.20/0.61 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.20/0.61
% 0.20/0.61 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.20/0.62 Running up to 7 provers in parallel.
% 0.20/0.65 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.20/0.65 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.20/0.65 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.20/0.65 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.20/0.65 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.20/0.65 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.20/0.65 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 3.72/1.28 Prover 4: Preprocessing ...
% 3.72/1.28 Prover 1: Preprocessing ...
% 3.72/1.32 Prover 6: Preprocessing ...
% 3.72/1.32 Prover 2: Preprocessing ...
% 3.72/1.32 Prover 5: Preprocessing ...
% 3.72/1.32 Prover 3: Preprocessing ...
% 3.72/1.34 Prover 0: Preprocessing ...
% 10.03/2.22 Prover 1: Constructing countermodel ...
% 10.03/2.22 Prover 3: Constructing countermodel ...
% 10.03/2.26 Prover 6: Proving ...
% 12.73/2.58 Prover 5: Constructing countermodel ...
% 13.00/2.69 Prover 4: Constructing countermodel ...
% 13.00/2.75 Prover 2: Proving ...
% 13.00/2.78 Prover 3: proved (2137ms)
% 13.00/2.78
% 13.00/2.79 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.00/2.79
% 13.56/2.81 Prover 0: Proving ...
% 13.56/2.81 Prover 5: stopped
% 13.56/2.81 Prover 0: stopped
% 13.56/2.81 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 13.56/2.81 Prover 2: stopped
% 13.56/2.81 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 13.56/2.81 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 13.56/2.81 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 13.56/2.82 Prover 6: stopped
% 13.56/2.82 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 14.98/2.93 Prover 8: Preprocessing ...
% 14.98/2.93 Prover 11: Preprocessing ...
% 15.47/2.97 Prover 13: Preprocessing ...
% 15.48/2.98 Prover 10: Preprocessing ...
% 15.48/2.99 Prover 7: Preprocessing ...
% 16.62/3.15 Prover 8: Warning: ignoring some quantifiers
% 16.62/3.15 Prover 8: Constructing countermodel ...
% 17.17/3.20 Prover 10: Constructing countermodel ...
% 17.17/3.27 Prover 13: Constructing countermodel ...
% 17.74/3.28 Prover 7: Constructing countermodel ...
% 17.96/3.41 Prover 11: Constructing countermodel ...
% 23.95/4.15 Prover 1: Found proof (size 377)
% 23.95/4.15 Prover 1: proved (3510ms)
% 23.95/4.15 Prover 4: stopped
% 23.95/4.15 Prover 11: stopped
% 23.95/4.15 Prover 13: stopped
% 23.95/4.15 Prover 7: stopped
% 23.95/4.15 Prover 8: stopped
% 23.95/4.16 Prover 10: stopped
% 23.95/4.16
% 23.95/4.16 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 23.95/4.16
% 24.67/4.26 % SZS output start Proof for theBenchmark
% 24.67/4.26 Assumptions after simplification:
% 24.67/4.26 ---------------------------------
% 24.67/4.26
% 24.67/4.26 (mDistr)
% 24.67/4.29 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 24.67/4.29 $i] : ( ~ (sdtasdt0(v0, v2) = v4) | ~ (sdtasdt0(v0, v1) = v3) | ~
% 24.67/4.29 (sdtpldt0(v3, v4) = v5) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: any] :
% 24.67/4.29 ? [v7: any] : ? [v8: any] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ?
% 24.67/4.29 [v12: $i] : ? [v13: $i] : ? [v14: $i] : (sdtasdt0(v11, v2) = v12 &
% 24.67/4.29 sdtasdt0(v1, v2) = v13 & sdtasdt0(v0, v9) = v10 & sdtpldt0(v4, v13) = v14
% 24.67/4.29 & sdtpldt0(v1, v2) = v9 & sdtpldt0(v0, v1) = v11 & aScalar0(v2) = v8 &
% 24.67/4.29 aScalar0(v1) = v7 & aScalar0(v0) = v6 & $i(v14) & $i(v13) & $i(v12) &
% 24.67/4.29 $i(v11) & $i(v10) & $i(v9) & ( ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0) |
% 24.67/4.29 (v14 = v12 & v10 = v5))))
% 24.67/4.29
% 24.67/4.29 (mLEASm)
% 24.67/4.29 ! [v0: $i] : ! [v1: $i] : (v1 = v0 | ~ (sdtlseqdt0(v0, v1) = 0) | ~ $i(v1)
% 24.67/4.29 | ~ $i(v0) | ? [v2: any] : ? [v3: any] : ? [v4: any] : (sdtlseqdt0(v1,
% 24.67/4.29 v0) = v4 & aScalar0(v1) = v3 & aScalar0(v0) = v2 & ( ~ (v4 = 0) | ~ (v3
% 24.67/4.29 = 0) | ~ (v2 = 0))))
% 24.67/4.29
% 24.67/4.29 (mLEMon)
% 24.67/4.30 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 24.67/4.30 $i] : ! [v6: int] : (v6 = 0 | ~ (sdtlseqdt0(v4, v5) = v6) | ~
% 24.67/4.30 (sdtpldt0(v1, v3) = v5) | ~ (sdtpldt0(v0, v2) = v4) | ~ $i(v3) | ~ $i(v2)
% 24.67/4.30 | ~ $i(v1) | ~ $i(v0) | ? [v7: any] : ? [v8: any] : ? [v9: any] : ?
% 24.67/4.30 [v10: any] : ? [v11: any] : ? [v12: any] : (sdtlseqdt0(v2, v3) = v12 &
% 24.67/4.30 sdtlseqdt0(v0, v1) = v11 & aScalar0(v3) = v10 & aScalar0(v2) = v9 &
% 24.67/4.30 aScalar0(v1) = v8 & aScalar0(v0) = v7 & ( ~ (v12 = 0) | ~ (v11 = 0) | ~
% 24.67/4.30 (v10 = 0) | ~ (v9 = 0) | ~ (v8 = 0) | ~ (v7 = 0))))
% 24.67/4.30
% 24.67/4.30 (mMulSc)
% 24.67/4.30 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (sdtasdt0(v0, v1) = v2) | ~
% 24.67/4.30 $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : ? [v5: any] :
% 24.67/4.30 (aScalar0(v2) = v5 & aScalar0(v1) = v4 & aScalar0(v0) = v3 & ( ~ (v4 = 0) |
% 24.67/4.30 ~ (v3 = 0) | v5 = 0)))
% 24.67/4.30
% 24.67/4.30 (mPosMon)
% 24.67/4.30 $i(sz0z00) & ! [v0: $i] : ! [v1: $i] : ( ~ (sdtlseqdt0(sz0z00, v1) = 0) | ~
% 24.67/4.30 (sdtlseqdt0(sz0z00, v0) = 0) | ~ $i(v1) | ~ $i(v0) | ? [v2: any] : ?
% 24.67/4.30 [v3: any] : ? [v4: $i] : ? [v5: any] : ? [v6: $i] : ? [v7: any] :
% 24.67/4.30 (sdtlseqdt0(sz0z00, v6) = v7 & sdtlseqdt0(sz0z00, v4) = v5 & sdtasdt0(v0,
% 24.67/4.30 v1) = v6 & sdtpldt0(v0, v1) = v4 & aScalar0(v1) = v3 & aScalar0(v0) = v2
% 24.67/4.30 & $i(v6) & $i(v4) & ( ~ (v3 = 0) | ~ (v2 = 0) | (v7 = 0 & v5 = 0))))
% 24.67/4.30
% 24.67/4.30 (mScPr)
% 24.67/4.31 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (sdtasasdt0(v0, v1) = v2) | ~
% 24.67/4.31 $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : ? [v5: $i] : ? [v6: $i]
% 24.67/4.31 : ? [v7: any] : (aVector0(v1) = v4 & aVector0(v0) = v3 & aDimensionOf0(v1)
% 24.67/4.31 = v6 & aDimensionOf0(v0) = v5 & aScalar0(v2) = v7 & $i(v6) & $i(v5) & ( ~
% 24.67/4.31 (v6 = v5) | ~ (v4 = 0) | ~ (v3 = 0) | v7 = 0)))
% 24.67/4.31
% 24.67/4.31 (mSqPos)
% 24.67/4.31 $i(sz0z00) & ! [v0: $i] : ! [v1: $i] : ( ~ (sdtasdt0(v0, v0) = v1) | ~
% 24.67/4.31 $i(v0) | ? [v2: any] : ? [v3: any] : (sdtlseqdt0(sz0z00, v1) = v3 &
% 24.67/4.31 aScalar0(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 24.67/4.31
% 24.67/4.31 (mSqrt)
% 24.67/4.31 $i(sz0z00) & ! [v0: $i] : ! [v1: $i] : (v1 = v0 | ~ (sdtlseqdt0(sz0z00, v1)
% 24.67/4.31 = 0) | ~ (sdtlseqdt0(sz0z00, v0) = 0) | ~ $i(v1) | ~ $i(v0) | ? [v2:
% 24.67/4.31 any] : ? [v3: any] : ? [v4: $i] : ? [v5: $i] : (sdtasdt0(v1, v1) = v5 &
% 24.67/4.31 sdtasdt0(v0, v0) = v4 & aScalar0(v1) = v3 & aScalar0(v0) = v2 & $i(v5) &
% 24.67/4.31 $i(v4) & ( ~ (v5 = v4) | ~ (v3 = 0) | ~ (v2 = 0))))
% 24.67/4.31
% 24.67/4.31 (mSumSc)
% 24.67/4.31 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (sdtpldt0(v0, v1) = v2) | ~
% 24.67/4.31 $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : ? [v5: any] :
% 24.67/4.31 (aScalar0(v2) = v5 & aScalar0(v1) = v4 & aScalar0(v0) = v3 & ( ~ (v4 = 0) |
% 24.67/4.31 ~ (v3 = 0) | v5 = 0)))
% 24.67/4.31
% 24.67/4.31 (m__)
% 25.01/4.31 $i(xS) & $i(xP) & $i(xR) & ? [v0: $i] : ? [v1: $i] : ( ~ (v1 = v0) &
% 25.01/4.31 sdtpldt0(xP, xP) = v1 & sdtpldt0(xR, xS) = v0 & $i(v1) & $i(v0))
% 25.01/4.31
% 25.01/4.31 (m__1820)
% 25.01/4.31 sdtasasdt0(xp, xq) = xE & aScalar0(xE) = 0 & $i(xE) & $i(xq) & $i(xp)
% 25.01/4.31
% 25.01/4.31 (m__1873)
% 25.01/4.31 sdtasdt0(xA, xB) = xH & aScalar0(xH) = 0 & $i(xH) & $i(xB) & $i(xA)
% 25.01/4.31
% 25.01/4.31 (m__1892)
% 25.01/4.31 sdtasdt0(xC, xG) = xR & aScalar0(xR) = 0 & $i(xR) & $i(xG) & $i(xC)
% 25.01/4.31
% 25.01/4.31 (m__1911)
% 25.01/4.32 sdtasdt0(xE, xH) = xP & aScalar0(xP) = 0 & $i(xP) & $i(xH) & $i(xE)
% 25.01/4.32
% 25.01/4.32 (m__1930)
% 25.01/4.32 sdtasdt0(xF, xD) = xS & aScalar0(xS) = 0 & $i(xS) & $i(xF) & $i(xD)
% 25.01/4.32
% 25.01/4.32 (m__1967)
% 25.01/4.32 $i(xE) & $i(xD) & $i(xC) & ? [v0: $i] : ? [v1: $i] : (sdtlseqdt0(v0, v1) = 0
% 25.01/4.32 & sdtasdt0(xE, xE) = v0 & sdtasdt0(xC, xD) = v1 & $i(v1) & $i(v0))
% 25.01/4.32
% 25.01/4.32 (m__2004)
% 25.01/4.32 $i(xN) & $i(xP) & ? [v0: $i] : (sdtlseqdt0(v0, xN) = 0 & sdtasdt0(xP, xP) =
% 25.01/4.32 v0 & $i(v0))
% 25.01/4.32
% 25.01/4.32 (m__2104)
% 25.01/4.32 $i(xS) & $i(xP) & $i(xR) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3:
% 25.01/4.32 $i] : ? [v4: $i] : (sdtlseqdt0(v1, v4) = 0 & sdtasdt0(xS, xS) = v3 &
% 25.01/4.32 sdtasdt0(xP, xP) = v0 & sdtasdt0(xR, xR) = v2 & sdtpldt0(v2, v3) = v4 &
% 25.01/4.32 sdtpldt0(v0, v0) = v1 & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 25.01/4.32
% 25.01/4.32 (m__2405)
% 25.01/4.32 $i(xS) & $i(xP) & $i(xR) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3:
% 25.01/4.32 $i] : (sdtlseqdt0(v1, v3) = 0 & sdtasdt0(v2, v2) = v3 & sdtasdt0(v0, v0) =
% 25.01/4.32 v1 & sdtpldt0(xP, xP) = v0 & sdtpldt0(xR, xS) = v2 & $i(v3) & $i(v2) &
% 25.01/4.32 $i(v1) & $i(v0))
% 25.01/4.32
% 25.01/4.32 (m__2590)
% 25.01/4.32 $i(xS) & $i(xP) & $i(xR) & ? [v0: $i] : ? [v1: $i] : ? [v2: int] : ( ~ (v2
% 25.01/4.32 = 0) & sdtlseqdt0(v0, v1) = v2 & sdtpldt0(xP, xP) = v0 & sdtpldt0(xR, xS)
% 25.01/4.32 = v1 & $i(v1) & $i(v0))
% 25.01/4.32
% 25.01/4.32 (m__2610)
% 25.01/4.32 $i(xS) & $i(xP) & $i(xR) & ? [v0: $i] : ? [v1: $i] : (sdtlseqdt0(v0, v1) = 0
% 25.01/4.32 & sdtpldt0(xP, xP) = v1 & sdtpldt0(xR, xS) = v0 & $i(v1) & $i(v0))
% 25.01/4.32
% 25.01/4.32 (m__2628)
% 25.01/4.32 $i(xS) & $i(xP) & $i(xR) & $i(sz0z00) & ? [v0: $i] : ? [v1: $i] :
% 25.01/4.32 (sdtlseqdt0(sz0z00, v1) = 0 & sdtlseqdt0(sz0z00, v0) = 0 & sdtpldt0(xP, xP) =
% 25.01/4.32 v1 & sdtpldt0(xR, xS) = v0 & $i(v1) & $i(v0))
% 25.01/4.32
% 25.01/4.32 (m__2654)
% 25.01/4.33 $i(xS) & $i(xP) & $i(xR) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3:
% 25.01/4.33 $i] : (sdtlseqdt0(v1, v3) = 0 & sdtasdt0(v2, v2) = v3 & sdtasdt0(v0, v0) =
% 25.01/4.33 v1 & sdtpldt0(xP, xP) = v2 & sdtpldt0(xR, xS) = v0 & $i(v3) & $i(v2) &
% 25.01/4.33 $i(v1) & $i(v0))
% 25.01/4.33
% 25.01/4.33 (function-axioms)
% 25.01/4.33 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 25.01/4.33 (sdtasasdt0(v3, v2) = v1) | ~ (sdtasasdt0(v3, v2) = v0)) & ! [v0: $i] : !
% 25.01/4.33 [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (sdtlbdtrb0(v3, v2) = v1)
% 25.01/4.33 | ~ (sdtlbdtrb0(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 25.01/4.33 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 25.01/4.33 (sdtlseqdt0(v3, v2) = v1) | ~ (sdtlseqdt0(v3, v2) = v0)) & ! [v0: $i] : !
% 25.01/4.33 [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (sdtasdt0(v3, v2) = v1) |
% 25.01/4.33 ~ (sdtasdt0(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : !
% 25.01/4.33 [v3: $i] : (v1 = v0 | ~ (sdtpldt0(v3, v2) = v1) | ~ (sdtpldt0(v3, v2) = v0))
% 25.01/4.33 & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : !
% 25.01/4.33 [v3: $i] : (v1 = v0 | ~ (iLess0(v3, v2) = v1) | ~ (iLess0(v3, v2) = v0)) &
% 25.01/4.33 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (sziznziztdt0(v2) = v1)
% 25.01/4.33 | ~ (sziznziztdt0(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 25.01/4.33 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (aVector0(v2) = v1) | ~
% 25.01/4.33 (aVector0(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 |
% 25.01/4.33 ~ (aDimensionOf0(v2) = v1) | ~ (aDimensionOf0(v2) = v0)) & ! [v0: $i] : !
% 25.01/4.33 [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (smndt0(v2) = v1) | ~ (smndt0(v2) =
% 25.01/4.33 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 25.01/4.33 $i] : (v1 = v0 | ~ (aScalar0(v2) = v1) | ~ (aScalar0(v2) = v0)) & ! [v0:
% 25.01/4.33 $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (szszuzczcdt0(v2) = v1) | ~
% 25.01/4.33 (szszuzczcdt0(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 25.01/4.33 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (aNaturalNumber0(v2) = v1)
% 25.01/4.33 | ~ (aNaturalNumber0(v2) = v0))
% 25.01/4.33
% 25.01/4.33 Further assumptions not needed in the proof:
% 25.01/4.33 --------------------------------------------
% 25.01/4.33 mArith, mDefInit, mDefSPN, mDefSPZ, mDimNat, mDistr2, mElmSc, mEqInit, mIH,
% 25.01/4.33 mIHOrd, mLEMonM, mLERef, mLETot, mLETrn, mLess, mMDNeg, mMNeg, mNatExtr,
% 25.01/4.33 mNatSort, mNegSc, mSZeroSc, mScSort, mScSqPos, mScZero, mSuccEqu, mSuccNat,
% 25.01/4.33 mVcSort, mZeroNat, m__1652, m__1678, m__1678_01, m__1692, m__1709, m__1726,
% 25.01/4.33 m__1746, m__1766, m__1783, m__1800, m__1837, m__1854, m__1949
% 25.01/4.33
% 25.01/4.33 Those formulas are unsatisfiable:
% 25.01/4.33 ---------------------------------
% 25.01/4.33
% 25.01/4.33 Begin of proof
% 25.01/4.33 |
% 25.01/4.33 | ALPHA: (mPosMon) implies:
% 25.01/4.33 | (1) ! [v0: $i] : ! [v1: $i] : ( ~ (sdtlseqdt0(sz0z00, v1) = 0) | ~
% 25.01/4.33 | (sdtlseqdt0(sz0z00, v0) = 0) | ~ $i(v1) | ~ $i(v0) | ? [v2: any] :
% 25.01/4.33 | ? [v3: any] : ? [v4: $i] : ? [v5: any] : ? [v6: $i] : ? [v7:
% 25.01/4.33 | any] : (sdtlseqdt0(sz0z00, v6) = v7 & sdtlseqdt0(sz0z00, v4) = v5 &
% 25.01/4.33 | sdtasdt0(v0, v1) = v6 & sdtpldt0(v0, v1) = v4 & aScalar0(v1) = v3 &
% 25.01/4.33 | aScalar0(v0) = v2 & $i(v6) & $i(v4) & ( ~ (v3 = 0) | ~ (v2 = 0) |
% 25.01/4.33 | (v7 = 0 & v5 = 0))))
% 25.01/4.34 |
% 25.01/4.34 | ALPHA: (mSqPos) implies:
% 25.01/4.34 | (2) ! [v0: $i] : ! [v1: $i] : ( ~ (sdtasdt0(v0, v0) = v1) | ~ $i(v0) |
% 25.01/4.34 | ? [v2: any] : ? [v3: any] : (sdtlseqdt0(sz0z00, v1) = v3 &
% 25.01/4.34 | aScalar0(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 25.01/4.34 |
% 25.01/4.34 | ALPHA: (mSqrt) implies:
% 25.01/4.34 | (3) ! [v0: $i] : ! [v1: $i] : (v1 = v0 | ~ (sdtlseqdt0(sz0z00, v1) = 0)
% 25.01/4.34 | | ~ (sdtlseqdt0(sz0z00, v0) = 0) | ~ $i(v1) | ~ $i(v0) | ? [v2:
% 25.01/4.34 | any] : ? [v3: any] : ? [v4: $i] : ? [v5: $i] : (sdtasdt0(v1, v1)
% 25.01/4.34 | = v5 & sdtasdt0(v0, v0) = v4 & aScalar0(v1) = v3 & aScalar0(v0) =
% 25.01/4.34 | v2 & $i(v5) & $i(v4) & ( ~ (v5 = v4) | ~ (v3 = 0) | ~ (v2 = 0))))
% 25.01/4.34 |
% 25.01/4.34 | ALPHA: (m__1820) implies:
% 25.01/4.34 | (4) $i(xp)
% 25.01/4.34 | (5) $i(xq)
% 25.01/4.34 | (6) aScalar0(xE) = 0
% 25.01/4.34 | (7) sdtasasdt0(xp, xq) = xE
% 25.01/4.34 |
% 25.01/4.34 | ALPHA: (m__1873) implies:
% 25.01/4.34 | (8) aScalar0(xH) = 0
% 25.01/4.34 |
% 25.01/4.34 | ALPHA: (m__1892) implies:
% 25.01/4.34 | (9) aScalar0(xR) = 0
% 25.01/4.34 |
% 25.01/4.34 | ALPHA: (m__1911) implies:
% 25.01/4.34 | (10) $i(xH)
% 25.01/4.34 | (11) aScalar0(xP) = 0
% 25.01/4.34 | (12) sdtasdt0(xE, xH) = xP
% 25.01/4.34 |
% 25.01/4.34 | ALPHA: (m__1930) implies:
% 25.01/4.34 | (13) aScalar0(xS) = 0
% 25.01/4.34 |
% 25.01/4.34 | ALPHA: (m__1967) implies:
% 25.01/4.34 | (14) $i(xE)
% 25.01/4.34 | (15) ? [v0: $i] : ? [v1: $i] : (sdtlseqdt0(v0, v1) = 0 & sdtasdt0(xE, xE)
% 25.01/4.34 | = v0 & sdtasdt0(xC, xD) = v1 & $i(v1) & $i(v0))
% 25.01/4.34 |
% 25.01/4.34 | ALPHA: (m__2004) implies:
% 25.01/4.34 | (16) ? [v0: $i] : (sdtlseqdt0(v0, xN) = 0 & sdtasdt0(xP, xP) = v0 &
% 25.01/4.34 | $i(v0))
% 25.01/4.34 |
% 25.01/4.34 | ALPHA: (m__2104) implies:
% 25.01/4.34 | (17) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 25.01/4.34 | (sdtlseqdt0(v1, v4) = 0 & sdtasdt0(xS, xS) = v3 & sdtasdt0(xP, xP) =
% 25.01/4.34 | v0 & sdtasdt0(xR, xR) = v2 & sdtpldt0(v2, v3) = v4 & sdtpldt0(v0,
% 25.01/4.34 | v0) = v1 & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 25.01/4.34 |
% 25.01/4.34 | ALPHA: (m__2405) implies:
% 25.01/4.34 | (18) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 25.01/4.34 | (sdtlseqdt0(v1, v3) = 0 & sdtasdt0(v2, v2) = v3 & sdtasdt0(v0, v0) =
% 25.01/4.34 | v1 & sdtpldt0(xP, xP) = v0 & sdtpldt0(xR, xS) = v2 & $i(v3) & $i(v2)
% 25.01/4.34 | & $i(v1) & $i(v0))
% 25.01/4.34 |
% 25.01/4.34 | ALPHA: (m__2590) implies:
% 25.01/4.34 | (19) ? [v0: $i] : ? [v1: $i] : ? [v2: int] : ( ~ (v2 = 0) &
% 25.01/4.34 | sdtlseqdt0(v0, v1) = v2 & sdtpldt0(xP, xP) = v0 & sdtpldt0(xR, xS) =
% 25.01/4.35 | v1 & $i(v1) & $i(v0))
% 25.01/4.35 |
% 25.01/4.35 | ALPHA: (m__2610) implies:
% 25.01/4.35 | (20) ? [v0: $i] : ? [v1: $i] : (sdtlseqdt0(v0, v1) = 0 & sdtpldt0(xP, xP)
% 25.01/4.35 | = v1 & sdtpldt0(xR, xS) = v0 & $i(v1) & $i(v0))
% 25.01/4.35 |
% 25.01/4.35 | ALPHA: (m__2628) implies:
% 25.01/4.35 | (21) ? [v0: $i] : ? [v1: $i] : (sdtlseqdt0(sz0z00, v1) = 0 &
% 25.01/4.35 | sdtlseqdt0(sz0z00, v0) = 0 & sdtpldt0(xP, xP) = v1 & sdtpldt0(xR,
% 25.01/4.35 | xS) = v0 & $i(v1) & $i(v0))
% 25.01/4.35 |
% 25.01/4.35 | ALPHA: (m__2654) implies:
% 25.01/4.35 | (22) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 25.01/4.35 | (sdtlseqdt0(v1, v3) = 0 & sdtasdt0(v2, v2) = v3 & sdtasdt0(v0, v0) =
% 25.01/4.35 | v1 & sdtpldt0(xP, xP) = v2 & sdtpldt0(xR, xS) = v0 & $i(v3) & $i(v2)
% 25.01/4.35 | & $i(v1) & $i(v0))
% 25.01/4.35 |
% 25.01/4.35 | ALPHA: (m__) implies:
% 25.01/4.35 | (23) $i(xR)
% 25.01/4.35 | (24) $i(xP)
% 25.01/4.35 | (25) $i(xS)
% 25.01/4.35 | (26) ? [v0: $i] : ? [v1: $i] : ( ~ (v1 = v0) & sdtpldt0(xP, xP) = v1 &
% 25.01/4.35 | sdtpldt0(xR, xS) = v0 & $i(v1) & $i(v0))
% 25.01/4.35 |
% 25.01/4.35 | ALPHA: (function-axioms) implies:
% 25.01/4.35 | (27) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 25.01/4.35 | : (v1 = v0 | ~ (aScalar0(v2) = v1) | ~ (aScalar0(v2) = v0))
% 25.01/4.35 | (28) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 25.01/4.35 | (sdtpldt0(v3, v2) = v1) | ~ (sdtpldt0(v3, v2) = v0))
% 25.01/4.35 | (29) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 25.01/4.35 | (sdtasdt0(v3, v2) = v1) | ~ (sdtasdt0(v3, v2) = v0))
% 25.01/4.35 | (30) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 25.01/4.35 | : ! [v3: $i] : (v1 = v0 | ~ (sdtlseqdt0(v3, v2) = v1) | ~
% 25.01/4.35 | (sdtlseqdt0(v3, v2) = v0))
% 25.01/4.35 |
% 25.01/4.35 | DELTA: instantiating (16) with fresh symbol all_37_0 gives:
% 25.01/4.35 | (31) sdtlseqdt0(all_37_0, xN) = 0 & sdtasdt0(xP, xP) = all_37_0 &
% 25.01/4.35 | $i(all_37_0)
% 25.01/4.35 |
% 25.01/4.35 | ALPHA: (31) implies:
% 25.01/4.35 | (32) sdtasdt0(xP, xP) = all_37_0
% 25.01/4.35 |
% 25.01/4.35 | DELTA: instantiating (26) with fresh symbols all_43_0, all_43_1 gives:
% 25.01/4.35 | (33) ~ (all_43_0 = all_43_1) & sdtpldt0(xP, xP) = all_43_0 & sdtpldt0(xR,
% 25.01/4.35 | xS) = all_43_1 & $i(all_43_0) & $i(all_43_1)
% 25.01/4.35 |
% 25.01/4.35 | ALPHA: (33) implies:
% 25.01/4.35 | (34) ~ (all_43_0 = all_43_1)
% 25.01/4.35 | (35) sdtpldt0(xR, xS) = all_43_1
% 25.01/4.35 | (36) sdtpldt0(xP, xP) = all_43_0
% 25.01/4.35 |
% 25.01/4.35 | DELTA: instantiating (20) with fresh symbols all_45_0, all_45_1 gives:
% 25.01/4.35 | (37) sdtlseqdt0(all_45_1, all_45_0) = 0 & sdtpldt0(xP, xP) = all_45_0 &
% 25.01/4.35 | sdtpldt0(xR, xS) = all_45_1 & $i(all_45_0) & $i(all_45_1)
% 25.01/4.35 |
% 25.01/4.35 | ALPHA: (37) implies:
% 25.01/4.35 | (38) $i(all_45_1)
% 25.01/4.36 | (39) $i(all_45_0)
% 25.01/4.36 | (40) sdtpldt0(xR, xS) = all_45_1
% 25.01/4.36 | (41) sdtpldt0(xP, xP) = all_45_0
% 25.01/4.36 |
% 25.01/4.36 | DELTA: instantiating (15) with fresh symbols all_47_0, all_47_1 gives:
% 25.01/4.36 | (42) sdtlseqdt0(all_47_1, all_47_0) = 0 & sdtasdt0(xE, xE) = all_47_1 &
% 25.01/4.36 | sdtasdt0(xC, xD) = all_47_0 & $i(all_47_0) & $i(all_47_1)
% 25.01/4.36 |
% 25.01/4.36 | ALPHA: (42) implies:
% 25.01/4.36 | (43) sdtasdt0(xE, xE) = all_47_1
% 25.01/4.36 |
% 25.01/4.36 | DELTA: instantiating (19) with fresh symbols all_49_0, all_49_1, all_49_2
% 25.01/4.36 | gives:
% 25.01/4.36 | (44) ~ (all_49_0 = 0) & sdtlseqdt0(all_49_2, all_49_1) = all_49_0 &
% 25.01/4.36 | sdtpldt0(xP, xP) = all_49_2 & sdtpldt0(xR, xS) = all_49_1 &
% 25.01/4.36 | $i(all_49_1) & $i(all_49_2)
% 25.01/4.36 |
% 25.01/4.36 | ALPHA: (44) implies:
% 25.01/4.36 | (45) ~ (all_49_0 = 0)
% 25.01/4.36 | (46) sdtpldt0(xR, xS) = all_49_1
% 25.01/4.36 | (47) sdtpldt0(xP, xP) = all_49_2
% 25.01/4.36 | (48) sdtlseqdt0(all_49_2, all_49_1) = all_49_0
% 25.01/4.36 |
% 25.01/4.36 | DELTA: instantiating (21) with fresh symbols all_51_0, all_51_1 gives:
% 25.01/4.36 | (49) sdtlseqdt0(sz0z00, all_51_0) = 0 & sdtlseqdt0(sz0z00, all_51_1) = 0 &
% 25.01/4.36 | sdtpldt0(xP, xP) = all_51_0 & sdtpldt0(xR, xS) = all_51_1 &
% 25.01/4.36 | $i(all_51_0) & $i(all_51_1)
% 25.01/4.36 |
% 25.01/4.36 | ALPHA: (49) implies:
% 25.01/4.36 | (50) sdtpldt0(xR, xS) = all_51_1
% 25.01/4.36 | (51) sdtpldt0(xP, xP) = all_51_0
% 25.01/4.36 | (52) sdtlseqdt0(sz0z00, all_51_1) = 0
% 25.01/4.36 | (53) sdtlseqdt0(sz0z00, all_51_0) = 0
% 25.01/4.36 |
% 25.01/4.36 | DELTA: instantiating (22) with fresh symbols all_53_0, all_53_1, all_53_2,
% 25.01/4.36 | all_53_3 gives:
% 25.01/4.36 | (54) sdtlseqdt0(all_53_2, all_53_0) = 0 & sdtasdt0(all_53_1, all_53_1) =
% 25.01/4.36 | all_53_0 & sdtasdt0(all_53_3, all_53_3) = all_53_2 & sdtpldt0(xP, xP)
% 25.01/4.36 | = all_53_1 & sdtpldt0(xR, xS) = all_53_3 & $i(all_53_0) & $i(all_53_1)
% 25.01/4.36 | & $i(all_53_2) & $i(all_53_3)
% 25.01/4.36 |
% 25.01/4.36 | ALPHA: (54) implies:
% 25.01/4.36 | (55) sdtpldt0(xR, xS) = all_53_3
% 25.01/4.36 | (56) sdtpldt0(xP, xP) = all_53_1
% 25.01/4.36 | (57) sdtasdt0(all_53_3, all_53_3) = all_53_2
% 25.01/4.36 | (58) sdtasdt0(all_53_1, all_53_1) = all_53_0
% 25.01/4.36 | (59) sdtlseqdt0(all_53_2, all_53_0) = 0
% 25.01/4.36 |
% 25.01/4.36 | DELTA: instantiating (18) with fresh symbols all_55_0, all_55_1, all_55_2,
% 25.01/4.36 | all_55_3 gives:
% 25.01/4.36 | (60) sdtlseqdt0(all_55_2, all_55_0) = 0 & sdtasdt0(all_55_1, all_55_1) =
% 25.01/4.36 | all_55_0 & sdtasdt0(all_55_3, all_55_3) = all_55_2 & sdtpldt0(xP, xP)
% 25.01/4.36 | = all_55_3 & sdtpldt0(xR, xS) = all_55_1 & $i(all_55_0) & $i(all_55_1)
% 25.01/4.36 | & $i(all_55_2) & $i(all_55_3)
% 25.01/4.36 |
% 25.01/4.36 | ALPHA: (60) implies:
% 25.01/4.36 | (61) $i(all_55_2)
% 25.01/4.36 | (62) $i(all_55_0)
% 25.01/4.36 | (63) sdtpldt0(xR, xS) = all_55_1
% 25.01/4.36 | (64) sdtpldt0(xP, xP) = all_55_3
% 25.01/4.36 | (65) sdtasdt0(all_55_3, all_55_3) = all_55_2
% 25.01/4.36 | (66) sdtasdt0(all_55_1, all_55_1) = all_55_0
% 25.01/4.36 | (67) sdtlseqdt0(all_55_2, all_55_0) = 0
% 25.01/4.36 |
% 25.01/4.36 | DELTA: instantiating (17) with fresh symbols all_57_0, all_57_1, all_57_2,
% 25.01/4.36 | all_57_3, all_57_4 gives:
% 25.01/4.37 | (68) sdtlseqdt0(all_57_3, all_57_0) = 0 & sdtasdt0(xS, xS) = all_57_1 &
% 25.01/4.37 | sdtasdt0(xP, xP) = all_57_4 & sdtasdt0(xR, xR) = all_57_2 &
% 25.01/4.37 | sdtpldt0(all_57_2, all_57_1) = all_57_0 & sdtpldt0(all_57_4, all_57_4)
% 25.01/4.37 | = all_57_3 & $i(all_57_0) & $i(all_57_1) & $i(all_57_2) & $i(all_57_3)
% 25.01/4.37 | & $i(all_57_4)
% 25.01/4.37 |
% 25.01/4.37 | ALPHA: (68) implies:
% 25.01/4.37 | (69) sdtpldt0(all_57_4, all_57_4) = all_57_3
% 25.01/4.37 | (70) sdtasdt0(xR, xR) = all_57_2
% 25.01/4.37 | (71) sdtasdt0(xP, xP) = all_57_4
% 25.01/4.37 |
% 25.01/4.37 | GROUND_INST: instantiating (28) with all_51_1, all_53_3, xS, xR, simplifying
% 25.01/4.37 | with (50), (55) gives:
% 25.01/4.37 | (72) all_53_3 = all_51_1
% 25.01/4.37 |
% 25.01/4.37 | GROUND_INST: instantiating (28) with all_49_1, all_53_3, xS, xR, simplifying
% 25.01/4.37 | with (46), (55) gives:
% 25.01/4.37 | (73) all_53_3 = all_49_1
% 25.01/4.37 |
% 25.01/4.37 | GROUND_INST: instantiating (28) with all_43_1, all_53_3, xS, xR, simplifying
% 25.01/4.37 | with (35), (55) gives:
% 25.01/4.37 | (74) all_53_3 = all_43_1
% 25.01/4.37 |
% 25.28/4.37 | GROUND_INST: instantiating (28) with all_49_1, all_55_1, xS, xR, simplifying
% 25.28/4.37 | with (46), (63) gives:
% 25.28/4.37 | (75) all_55_1 = all_49_1
% 25.28/4.37 |
% 25.28/4.37 | GROUND_INST: instantiating (28) with all_45_1, all_55_1, xS, xR, simplifying
% 25.28/4.37 | with (40), (63) gives:
% 25.28/4.37 | (76) all_55_1 = all_45_1
% 25.28/4.37 |
% 25.28/4.37 | GROUND_INST: instantiating (28) with all_49_2, all_51_0, xP, xP, simplifying
% 25.28/4.37 | with (47), (51) gives:
% 25.28/4.37 | (77) all_51_0 = all_49_2
% 25.28/4.37 |
% 25.28/4.37 | GROUND_INST: instantiating (28) with all_49_2, all_53_1, xP, xP, simplifying
% 25.28/4.37 | with (47), (56) gives:
% 25.28/4.37 | (78) all_53_1 = all_49_2
% 25.28/4.37 |
% 25.28/4.37 | GROUND_INST: instantiating (28) with all_45_0, all_53_1, xP, xP, simplifying
% 25.28/4.37 | with (41), (56) gives:
% 25.28/4.37 | (79) all_53_1 = all_45_0
% 25.28/4.37 |
% 25.28/4.37 | GROUND_INST: instantiating (28) with all_51_0, all_55_3, xP, xP, simplifying
% 25.28/4.37 | with (51), (64) gives:
% 25.28/4.37 | (80) all_55_3 = all_51_0
% 25.28/4.37 |
% 25.28/4.37 | GROUND_INST: instantiating (28) with all_43_0, all_55_3, xP, xP, simplifying
% 25.28/4.37 | with (36), (64) gives:
% 25.28/4.37 | (81) all_55_3 = all_43_0
% 25.28/4.37 |
% 25.28/4.37 | GROUND_INST: instantiating (29) with all_37_0, all_57_4, xP, xP, simplifying
% 25.28/4.37 | with (32), (71) gives:
% 25.28/4.37 | (82) all_57_4 = all_37_0
% 25.28/4.37 |
% 25.28/4.37 | COMBINE_EQS: (75), (76) imply:
% 25.28/4.37 | (83) all_49_1 = all_45_1
% 25.28/4.37 |
% 25.28/4.37 | SIMP: (83) implies:
% 25.28/4.37 | (84) all_49_1 = all_45_1
% 25.28/4.37 |
% 25.28/4.37 | COMBINE_EQS: (80), (81) imply:
% 25.28/4.37 | (85) all_51_0 = all_43_0
% 25.28/4.37 |
% 25.28/4.37 | SIMP: (85) implies:
% 25.28/4.37 | (86) all_51_0 = all_43_0
% 25.28/4.37 |
% 25.28/4.37 | COMBINE_EQS: (78), (79) imply:
% 25.28/4.37 | (87) all_49_2 = all_45_0
% 25.28/4.37 |
% 25.28/4.37 | SIMP: (87) implies:
% 25.28/4.37 | (88) all_49_2 = all_45_0
% 25.28/4.37 |
% 25.28/4.37 | COMBINE_EQS: (72), (73) imply:
% 25.28/4.38 | (89) all_51_1 = all_49_1
% 25.28/4.38 |
% 25.28/4.38 | COMBINE_EQS: (72), (74) imply:
% 25.28/4.38 | (90) all_51_1 = all_43_1
% 25.28/4.38 |
% 25.28/4.38 | COMBINE_EQS: (77), (86) imply:
% 25.28/4.38 | (91) all_49_2 = all_43_0
% 25.28/4.38 |
% 25.28/4.38 | SIMP: (91) implies:
% 25.28/4.38 | (92) all_49_2 = all_43_0
% 25.28/4.38 |
% 25.28/4.38 | COMBINE_EQS: (89), (90) imply:
% 25.28/4.38 | (93) all_49_1 = all_43_1
% 25.28/4.38 |
% 25.28/4.38 | SIMP: (93) implies:
% 25.28/4.38 | (94) all_49_1 = all_43_1
% 25.28/4.38 |
% 25.28/4.38 | COMBINE_EQS: (84), (94) imply:
% 25.28/4.38 | (95) all_45_1 = all_43_1
% 25.28/4.38 |
% 25.28/4.38 | COMBINE_EQS: (88), (92) imply:
% 25.28/4.38 | (96) all_45_0 = all_43_0
% 25.28/4.38 |
% 25.28/4.38 | COMBINE_EQS: (79), (96) imply:
% 25.28/4.38 | (97) all_53_1 = all_43_0
% 25.28/4.38 |
% 25.28/4.38 | COMBINE_EQS: (76), (95) imply:
% 25.28/4.38 | (98) all_55_1 = all_43_1
% 25.28/4.38 |
% 25.28/4.38 | REDUCE: (48), (92), (94) imply:
% 25.28/4.38 | (99) sdtlseqdt0(all_43_0, all_43_1) = all_49_0
% 25.28/4.38 |
% 25.28/4.38 | REDUCE: (53), (86) imply:
% 25.28/4.38 | (100) sdtlseqdt0(sz0z00, all_43_0) = 0
% 25.28/4.38 |
% 25.28/4.38 | REDUCE: (52), (90) imply:
% 25.28/4.38 | (101) sdtlseqdt0(sz0z00, all_43_1) = 0
% 25.28/4.38 |
% 25.28/4.38 | REDUCE: (66), (98) imply:
% 25.28/4.38 | (102) sdtasdt0(all_43_1, all_43_1) = all_55_0
% 25.28/4.38 |
% 25.28/4.38 | REDUCE: (65), (81) imply:
% 25.28/4.38 | (103) sdtasdt0(all_43_0, all_43_0) = all_55_2
% 25.28/4.38 |
% 25.28/4.38 | REDUCE: (58), (97) imply:
% 25.28/4.38 | (104) sdtasdt0(all_43_0, all_43_0) = all_53_0
% 25.28/4.38 |
% 25.28/4.38 | REDUCE: (57), (74) imply:
% 25.28/4.38 | (105) sdtasdt0(all_43_1, all_43_1) = all_53_2
% 25.28/4.38 |
% 25.28/4.38 | REDUCE: (69), (82) imply:
% 25.28/4.38 | (106) sdtpldt0(all_37_0, all_37_0) = all_57_3
% 25.28/4.38 |
% 25.28/4.38 | REDUCE: (39), (96) imply:
% 25.28/4.38 | (107) $i(all_43_0)
% 25.28/4.38 |
% 25.28/4.38 | REDUCE: (38), (95) imply:
% 25.28/4.38 | (108) $i(all_43_1)
% 25.28/4.38 |
% 25.28/4.38 | GROUND_INST: instantiating (29) with all_53_2, all_55_0, all_43_1, all_43_1,
% 25.28/4.38 | simplifying with (102), (105) gives:
% 25.28/4.38 | (109) all_55_0 = all_53_2
% 25.28/4.38 |
% 25.28/4.38 | GROUND_INST: instantiating (29) with all_53_0, all_55_2, all_43_0, all_43_0,
% 25.28/4.38 | simplifying with (103), (104) gives:
% 25.28/4.38 | (110) all_55_2 = all_53_0
% 25.28/4.38 |
% 25.28/4.38 | REDUCE: (67), (109), (110) imply:
% 25.28/4.38 | (111) sdtlseqdt0(all_53_0, all_53_2) = 0
% 25.28/4.38 |
% 25.28/4.38 | REDUCE: (62), (109) imply:
% 25.28/4.38 | (112) $i(all_53_2)
% 25.28/4.38 |
% 25.28/4.38 | REDUCE: (61), (110) imply:
% 25.28/4.38 | (113) $i(all_53_0)
% 25.28/4.38 |
% 25.28/4.38 | GROUND_INST: instantiating (mSumSc) with xR, xS, all_43_1, simplifying with
% 25.28/4.38 | (23), (25), (35) gives:
% 25.28/4.39 | (114) ? [v0: any] : ? [v1: any] : ? [v2: any] : (aScalar0(all_43_1) = v2
% 25.28/4.39 | & aScalar0(xS) = v1 & aScalar0(xR) = v0 & ( ~ (v1 = 0) | ~ (v0 =
% 25.28/4.39 | 0) | v2 = 0))
% 25.28/4.39 |
% 25.28/4.39 | GROUND_INST: instantiating (mSumSc) with xP, xP, all_43_0, simplifying with
% 25.28/4.39 | (24), (36) gives:
% 25.28/4.39 | (115) ? [v0: any] : ? [v1: any] : ? [v2: any] : (aScalar0(all_43_0) = v2
% 25.28/4.39 | & aScalar0(xP) = v1 & aScalar0(xP) = v0 & ( ~ (v1 = 0) | ~ (v0 =
% 25.28/4.39 | 0) | v2 = 0))
% 25.28/4.39 |
% 25.28/4.39 | GROUND_INST: instantiating (2) with xE, all_47_1, simplifying with (14), (43)
% 25.28/4.39 | gives:
% 25.28/4.39 | (116) ? [v0: any] : ? [v1: any] : (sdtlseqdt0(sz0z00, all_47_1) = v1 &
% 25.28/4.39 | aScalar0(xE) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 25.28/4.39 |
% 25.28/4.39 | GROUND_INST: instantiating (mMulSc) with xE, xE, all_47_1, simplifying with
% 25.28/4.39 | (14), (43) gives:
% 25.28/4.39 | (117) ? [v0: any] : ? [v1: any] : ? [v2: any] : (aScalar0(all_47_1) = v2
% 25.28/4.39 | & aScalar0(xE) = v1 & aScalar0(xE) = v0 & ( ~ (v1 = 0) | ~ (v0 =
% 25.28/4.39 | 0) | v2 = 0))
% 25.28/4.39 |
% 25.28/4.39 | GROUND_INST: instantiating (mDistr) with xE, xH, xH, xP, xP, all_43_0,
% 25.28/4.39 | simplifying with (10), (12), (14), (36) gives:
% 25.28/4.39 | (118) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: $i] : ? [v4:
% 25.28/4.39 | $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] :
% 25.28/4.39 | (sdtasdt0(v5, xH) = v6 & sdtasdt0(xH, xH) = v7 & sdtasdt0(xE, v3) =
% 25.28/4.39 | v4 & sdtpldt0(xP, v7) = v8 & sdtpldt0(xH, xH) = v3 & sdtpldt0(xE,
% 25.28/4.39 | xH) = v5 & aScalar0(xH) = v2 & aScalar0(xH) = v1 & aScalar0(xE) =
% 25.28/4.39 | v0 & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & ( ~ (v2
% 25.28/4.39 | = 0) | ~ (v1 = 0) | ~ (v0 = 0) | (v8 = v6 & v4 = all_43_0)))
% 25.28/4.39 |
% 25.28/4.39 | GROUND_INST: instantiating (2) with xR, all_57_2, simplifying with (23), (70)
% 25.28/4.39 | gives:
% 25.28/4.39 | (119) ? [v0: any] : ? [v1: any] : (sdtlseqdt0(sz0z00, all_57_2) = v1 &
% 25.28/4.39 | aScalar0(xR) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 25.28/4.39 |
% 25.28/4.39 | GROUND_INST: instantiating (mMulSc) with xR, xR, all_57_2, simplifying with
% 25.28/4.39 | (23), (70) gives:
% 25.28/4.39 | (120) ? [v0: any] : ? [v1: any] : ? [v2: any] : (aScalar0(all_57_2) = v2
% 25.28/4.39 | & aScalar0(xR) = v1 & aScalar0(xR) = v0 & ( ~ (v1 = 0) | ~ (v0 =
% 25.28/4.39 | 0) | v2 = 0))
% 25.28/4.39 |
% 25.28/4.39 | GROUND_INST: instantiating (mDistr) with xP, xP, xP, all_37_0, all_37_0,
% 25.28/4.39 | all_57_3, simplifying with (24), (32), (106) gives:
% 25.28/4.39 | (121) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: $i] : ? [v4:
% 25.28/4.39 | $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] :
% 25.28/4.39 | (sdtasdt0(v5, xP) = v6 & sdtasdt0(xP, v3) = v4 & sdtasdt0(xP, xP) =
% 25.28/4.39 | v7 & sdtpldt0(all_37_0, v7) = v8 & sdtpldt0(xP, xP) = v5 &
% 25.28/4.39 | sdtpldt0(xP, xP) = v3 & aScalar0(xP) = v2 & aScalar0(xP) = v1 &
% 25.28/4.39 | aScalar0(xP) = v0 & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) &
% 25.28/4.39 | $i(v3) & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | (v8 = v6 & v4 =
% 25.28/4.39 | all_57_3)))
% 25.28/4.39 |
% 25.28/4.39 | GROUND_INST: instantiating (2) with xP, all_37_0, simplifying with (24), (32)
% 25.28/4.39 | gives:
% 25.28/4.39 | (122) ? [v0: any] : ? [v1: any] : (sdtlseqdt0(sz0z00, all_37_0) = v1 &
% 25.28/4.39 | aScalar0(xP) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 25.28/4.39 |
% 25.28/4.39 | GROUND_INST: instantiating (mMulSc) with xP, xP, all_37_0, simplifying with
% 25.28/4.39 | (24), (32) gives:
% 25.28/4.39 | (123) ? [v0: any] : ? [v1: any] : ? [v2: any] : (aScalar0(all_37_0) = v2
% 25.28/4.39 | & aScalar0(xP) = v1 & aScalar0(xP) = v0 & ( ~ (v1 = 0) | ~ (v0 =
% 25.28/4.39 | 0) | v2 = 0))
% 25.28/4.39 |
% 25.28/4.39 | GROUND_INST: instantiating (2) with all_43_1, all_53_2, simplifying with
% 25.28/4.39 | (105), (108) gives:
% 25.28/4.39 | (124) ? [v0: any] : ? [v1: any] : (sdtlseqdt0(sz0z00, all_53_2) = v1 &
% 25.28/4.39 | aScalar0(all_43_1) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 25.28/4.39 |
% 25.28/4.39 | GROUND_INST: instantiating (mMulSc) with all_43_1, all_43_1, all_53_2,
% 25.28/4.39 | simplifying with (105), (108) gives:
% 25.28/4.39 | (125) ? [v0: any] : ? [v1: any] : ? [v2: any] : (aScalar0(all_53_2) = v2
% 25.28/4.39 | & aScalar0(all_43_1) = v1 & aScalar0(all_43_1) = v0 & ( ~ (v1 = 0)
% 25.28/4.39 | | ~ (v0 = 0) | v2 = 0))
% 25.28/4.39 |
% 25.28/4.39 | GROUND_INST: instantiating (2) with all_43_0, all_53_0, simplifying with
% 25.28/4.39 | (104), (107) gives:
% 25.28/4.39 | (126) ? [v0: any] : ? [v1: any] : (sdtlseqdt0(sz0z00, all_53_0) = v1 &
% 25.28/4.39 | aScalar0(all_43_0) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 25.28/4.39 |
% 25.28/4.39 | GROUND_INST: instantiating (mMulSc) with all_43_0, all_43_0, all_53_0,
% 25.28/4.39 | simplifying with (104), (107) gives:
% 25.28/4.40 | (127) ? [v0: any] : ? [v1: any] : ? [v2: any] : (aScalar0(all_53_0) = v2
% 25.28/4.40 | & aScalar0(all_43_0) = v1 & aScalar0(all_43_0) = v0 & ( ~ (v1 = 0)
% 25.28/4.40 | | ~ (v0 = 0) | v2 = 0))
% 25.28/4.40 |
% 25.28/4.40 | GROUND_INST: instantiating (1) with all_43_1, all_43_1, simplifying with
% 25.28/4.40 | (101), (108) gives:
% 25.28/4.40 | (128) ? [v0: any] : ? [v1: any] : ? [v2: $i] : ? [v3: any] : ? [v4:
% 25.28/4.40 | $i] : ? [v5: any] : (sdtlseqdt0(sz0z00, v4) = v5 &
% 25.28/4.40 | sdtlseqdt0(sz0z00, v2) = v3 & sdtasdt0(all_43_1, all_43_1) = v4 &
% 25.28/4.40 | sdtpldt0(all_43_1, all_43_1) = v2 & aScalar0(all_43_1) = v1 &
% 25.28/4.40 | aScalar0(all_43_1) = v0 & $i(v4) & $i(v2) & ( ~ (v1 = 0) | ~ (v0 =
% 25.28/4.40 | 0) | (v5 = 0 & v3 = 0)))
% 25.28/4.40 |
% 25.28/4.40 | GROUND_INST: instantiating (1) with all_43_0, all_43_0, simplifying with
% 25.28/4.40 | (100), (107) gives:
% 25.28/4.40 | (129) ? [v0: any] : ? [v1: any] : ? [v2: $i] : ? [v3: any] : ? [v4:
% 25.28/4.40 | $i] : ? [v5: any] : (sdtlseqdt0(sz0z00, v4) = v5 &
% 25.28/4.40 | sdtlseqdt0(sz0z00, v2) = v3 & sdtasdt0(all_43_0, all_43_0) = v4 &
% 25.28/4.40 | sdtpldt0(all_43_0, all_43_0) = v2 & aScalar0(all_43_0) = v1 &
% 25.28/4.40 | aScalar0(all_43_0) = v0 & $i(v4) & $i(v2) & ( ~ (v1 = 0) | ~ (v0 =
% 25.28/4.40 | 0) | (v5 = 0 & v3 = 0)))
% 25.28/4.40 |
% 25.28/4.40 | GROUND_INST: instantiating (3) with all_43_1, all_43_0, simplifying with
% 25.28/4.40 | (100), (101), (107), (108) gives:
% 25.28/4.40 | (130) all_43_0 = all_43_1 | ? [v0: any] : ? [v1: any] : ? [v2: $i] : ?
% 25.28/4.40 | [v3: $i] : (sdtasdt0(all_43_0, all_43_0) = v3 & sdtasdt0(all_43_1,
% 25.28/4.40 | all_43_1) = v2 & aScalar0(all_43_0) = v1 & aScalar0(all_43_1) =
% 25.28/4.40 | v0 & $i(v3) & $i(v2) & ( ~ (v3 = v2) | ~ (v1 = 0) | ~ (v0 = 0)))
% 25.28/4.40 |
% 25.28/4.40 | GROUND_INST: instantiating (3) with all_43_0, all_43_1, simplifying with
% 25.28/4.40 | (100), (101), (107), (108) gives:
% 25.28/4.40 | (131) all_43_0 = all_43_1 | ? [v0: any] : ? [v1: any] : ? [v2: $i] : ?
% 25.28/4.40 | [v3: $i] : (sdtasdt0(all_43_0, all_43_0) = v2 & sdtasdt0(all_43_1,
% 25.28/4.40 | all_43_1) = v3 & aScalar0(all_43_0) = v0 & aScalar0(all_43_1) =
% 25.28/4.40 | v1 & $i(v3) & $i(v2) & ( ~ (v3 = v2) | ~ (v1 = 0) | ~ (v0 = 0)))
% 25.28/4.40 |
% 25.28/4.40 | GROUND_INST: instantiating (1) with all_43_1, all_43_0, simplifying with
% 25.28/4.40 | (100), (101), (107), (108) gives:
% 25.28/4.40 | (132) ? [v0: any] : ? [v1: any] : ? [v2: $i] : ? [v3: any] : ? [v4:
% 25.28/4.40 | $i] : ? [v5: any] : (sdtlseqdt0(sz0z00, v4) = v5 &
% 25.28/4.40 | sdtlseqdt0(sz0z00, v2) = v3 & sdtasdt0(all_43_1, all_43_0) = v4 &
% 25.28/4.40 | sdtpldt0(all_43_1, all_43_0) = v2 & aScalar0(all_43_0) = v1 &
% 25.28/4.40 | aScalar0(all_43_1) = v0 & $i(v4) & $i(v2) & ( ~ (v1 = 0) | ~ (v0 =
% 25.28/4.40 | 0) | (v5 = 0 & v3 = 0)))
% 25.28/4.40 |
% 25.28/4.40 | GROUND_INST: instantiating (1) with all_43_0, all_43_1, simplifying with
% 25.28/4.40 | (100), (101), (107), (108) gives:
% 25.28/4.40 | (133) ? [v0: any] : ? [v1: any] : ? [v2: $i] : ? [v3: any] : ? [v4:
% 25.28/4.40 | $i] : ? [v5: any] : (sdtlseqdt0(sz0z00, v4) = v5 &
% 25.28/4.40 | sdtlseqdt0(sz0z00, v2) = v3 & sdtasdt0(all_43_0, all_43_1) = v4 &
% 25.28/4.40 | sdtpldt0(all_43_0, all_43_1) = v2 & aScalar0(all_43_0) = v0 &
% 25.28/4.40 | aScalar0(all_43_1) = v1 & $i(v4) & $i(v2) & ( ~ (v1 = 0) | ~ (v0 =
% 25.28/4.40 | 0) | (v5 = 0 & v3 = 0)))
% 25.28/4.40 |
% 25.28/4.40 | GROUND_INST: instantiating (mLEMon) with xP, xR, xP, xS, all_43_0, all_43_1,
% 25.28/4.40 | all_49_0, simplifying with (23), (24), (25), (35), (36), (99)
% 25.28/4.40 | gives:
% 25.28/4.40 | (134) all_49_0 = 0 | ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3:
% 25.28/4.40 | any] : ? [v4: any] : ? [v5: any] : (sdtlseqdt0(xP, xS) = v5 &
% 25.28/4.40 | sdtlseqdt0(xP, xR) = v4 & aScalar0(xS) = v3 & aScalar0(xP) = v2 &
% 25.28/4.40 | aScalar0(xP) = v0 & aScalar0(xR) = v1 & ( ~ (v5 = 0) | ~ (v4 = 0)
% 25.28/4.40 | | ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0)))
% 25.28/4.40 |
% 25.28/4.40 | GROUND_INST: instantiating (mLEASm) with all_53_2, all_53_0, simplifying with
% 25.28/4.40 | (59), (112), (113) gives:
% 25.28/4.40 | (135) all_53_0 = all_53_2 | ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 25.28/4.40 | (sdtlseqdt0(all_53_0, all_53_2) = v2 & aScalar0(all_53_0) = v1 &
% 25.28/4.40 | aScalar0(all_53_2) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 =
% 25.28/4.40 | 0)))
% 25.28/4.40 |
% 25.28/4.40 | GROUND_INST: instantiating (mLEASm) with all_53_0, all_53_2, simplifying with
% 25.28/4.40 | (111), (112), (113) gives:
% 25.28/4.40 | (136) all_53_0 = all_53_2 | ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 25.28/4.40 | (sdtlseqdt0(all_53_2, all_53_0) = v2 & aScalar0(all_53_0) = v0 &
% 25.28/4.40 | aScalar0(all_53_2) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 =
% 25.28/4.40 | 0)))
% 25.28/4.40 |
% 25.28/4.40 | GROUND_INST: instantiating (mScPr) with xp, xq, xE, simplifying with (4), (5),
% 25.28/4.40 | (7) gives:
% 25.28/4.40 | (137) ? [v0: any] : ? [v1: any] : ? [v2: $i] : ? [v3: $i] : ? [v4:
% 25.28/4.40 | any] : (aVector0(xq) = v1 & aVector0(xp) = v0 & aDimensionOf0(xq) =
% 25.28/4.40 | v3 & aDimensionOf0(xp) = v2 & aScalar0(xE) = v4 & $i(v3) & $i(v2) &
% 25.28/4.40 | ( ~ (v3 = v2) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = 0))
% 25.28/4.40 |
% 25.28/4.40 | DELTA: instantiating (126) with fresh symbols all_90_0, all_90_1 gives:
% 25.28/4.40 | (138) sdtlseqdt0(sz0z00, all_53_0) = all_90_0 & aScalar0(all_43_0) =
% 25.28/4.40 | all_90_1 & ( ~ (all_90_1 = 0) | all_90_0 = 0)
% 25.28/4.40 |
% 25.28/4.40 | ALPHA: (138) implies:
% 25.28/4.40 | (139) aScalar0(all_43_0) = all_90_1
% 25.28/4.40 |
% 25.28/4.40 | DELTA: instantiating (124) with fresh symbols all_92_0, all_92_1 gives:
% 25.28/4.40 | (140) sdtlseqdt0(sz0z00, all_53_2) = all_92_0 & aScalar0(all_43_1) =
% 25.28/4.40 | all_92_1 & ( ~ (all_92_1 = 0) | all_92_0 = 0)
% 25.28/4.40 |
% 25.28/4.40 | ALPHA: (140) implies:
% 25.28/4.40 | (141) aScalar0(all_43_1) = all_92_1
% 25.28/4.40 |
% 25.28/4.40 | DELTA: instantiating (119) with fresh symbols all_96_0, all_96_1 gives:
% 25.28/4.40 | (142) sdtlseqdt0(sz0z00, all_57_2) = all_96_0 & aScalar0(xR) = all_96_1 & (
% 25.28/4.40 | ~ (all_96_1 = 0) | all_96_0 = 0)
% 25.28/4.40 |
% 25.28/4.40 | ALPHA: (142) implies:
% 25.28/4.41 | (143) aScalar0(xR) = all_96_1
% 25.28/4.41 |
% 25.28/4.41 | DELTA: instantiating (122) with fresh symbols all_98_0, all_98_1 gives:
% 25.28/4.41 | (144) sdtlseqdt0(sz0z00, all_37_0) = all_98_0 & aScalar0(xP) = all_98_1 & (
% 25.28/4.41 | ~ (all_98_1 = 0) | all_98_0 = 0)
% 25.28/4.41 |
% 25.28/4.41 | ALPHA: (144) implies:
% 25.28/4.41 | (145) aScalar0(xP) = all_98_1
% 25.28/4.41 |
% 25.28/4.41 | DELTA: instantiating (116) with fresh symbols all_102_0, all_102_1 gives:
% 25.28/4.41 | (146) sdtlseqdt0(sz0z00, all_47_1) = all_102_0 & aScalar0(xE) = all_102_1 &
% 25.28/4.41 | ( ~ (all_102_1 = 0) | all_102_0 = 0)
% 25.28/4.41 |
% 25.28/4.41 | ALPHA: (146) implies:
% 25.28/4.41 | (147) aScalar0(xE) = all_102_1
% 25.28/4.41 |
% 25.28/4.41 | DELTA: instantiating (123) with fresh symbols all_118_0, all_118_1, all_118_2
% 25.28/4.41 | gives:
% 25.28/4.41 | (148) aScalar0(all_37_0) = all_118_0 & aScalar0(xP) = all_118_1 &
% 25.28/4.41 | aScalar0(xP) = all_118_2 & ( ~ (all_118_1 = 0) | ~ (all_118_2 = 0) |
% 25.28/4.41 | all_118_0 = 0)
% 25.28/4.41 |
% 25.28/4.41 | ALPHA: (148) implies:
% 25.28/4.41 | (149) aScalar0(xP) = all_118_2
% 25.28/4.41 | (150) aScalar0(xP) = all_118_1
% 25.28/4.41 |
% 25.28/4.41 | DELTA: instantiating (117) with fresh symbols all_120_0, all_120_1, all_120_2
% 25.28/4.41 | gives:
% 25.28/4.41 | (151) aScalar0(all_47_1) = all_120_0 & aScalar0(xE) = all_120_1 &
% 25.28/4.41 | aScalar0(xE) = all_120_2 & ( ~ (all_120_1 = 0) | ~ (all_120_2 = 0) |
% 25.28/4.41 | all_120_0 = 0)
% 25.28/4.41 |
% 25.28/4.41 | ALPHA: (151) implies:
% 25.28/4.41 | (152) aScalar0(xE) = all_120_2
% 25.28/4.41 | (153) aScalar0(xE) = all_120_1
% 25.28/4.41 |
% 25.28/4.41 | DELTA: instantiating (120) with fresh symbols all_124_0, all_124_1, all_124_2
% 25.28/4.41 | gives:
% 25.28/4.41 | (154) aScalar0(all_57_2) = all_124_0 & aScalar0(xR) = all_124_1 &
% 25.28/4.41 | aScalar0(xR) = all_124_2 & ( ~ (all_124_1 = 0) | ~ (all_124_2 = 0) |
% 25.28/4.41 | all_124_0 = 0)
% 25.28/4.41 |
% 25.28/4.41 | ALPHA: (154) implies:
% 25.28/4.41 | (155) aScalar0(xR) = all_124_2
% 25.28/4.41 | (156) aScalar0(xR) = all_124_1
% 25.28/4.41 |
% 25.28/4.41 | DELTA: instantiating (127) with fresh symbols all_126_0, all_126_1, all_126_2
% 25.28/4.41 | gives:
% 25.28/4.41 | (157) aScalar0(all_53_0) = all_126_0 & aScalar0(all_43_0) = all_126_1 &
% 25.28/4.41 | aScalar0(all_43_0) = all_126_2 & ( ~ (all_126_1 = 0) | ~ (all_126_2
% 25.28/4.41 | = 0) | all_126_0 = 0)
% 25.28/4.41 |
% 25.28/4.41 | ALPHA: (157) implies:
% 25.28/4.41 | (158) aScalar0(all_43_0) = all_126_2
% 25.28/4.41 | (159) aScalar0(all_43_0) = all_126_1
% 25.28/4.41 | (160) aScalar0(all_53_0) = all_126_0
% 25.28/4.41 | (161) ~ (all_126_1 = 0) | ~ (all_126_2 = 0) | all_126_0 = 0
% 25.28/4.41 |
% 25.28/4.41 | DELTA: instantiating (125) with fresh symbols all_128_0, all_128_1, all_128_2
% 25.28/4.41 | gives:
% 25.28/4.41 | (162) aScalar0(all_53_2) = all_128_0 & aScalar0(all_43_1) = all_128_1 &
% 25.28/4.41 | aScalar0(all_43_1) = all_128_2 & ( ~ (all_128_1 = 0) | ~ (all_128_2
% 25.28/4.41 | = 0) | all_128_0 = 0)
% 25.28/4.41 |
% 25.28/4.41 | ALPHA: (162) implies:
% 25.28/4.41 | (163) aScalar0(all_43_1) = all_128_2
% 25.28/4.41 | (164) aScalar0(all_43_1) = all_128_1
% 25.28/4.41 | (165) aScalar0(all_53_2) = all_128_0
% 25.28/4.41 | (166) ~ (all_128_1 = 0) | ~ (all_128_2 = 0) | all_128_0 = 0
% 25.28/4.41 |
% 25.28/4.41 | DELTA: instantiating (115) with fresh symbols all_130_0, all_130_1, all_130_2
% 25.28/4.41 | gives:
% 25.28/4.41 | (167) aScalar0(all_43_0) = all_130_0 & aScalar0(xP) = all_130_1 &
% 25.28/4.41 | aScalar0(xP) = all_130_2 & ( ~ (all_130_1 = 0) | ~ (all_130_2 = 0) |
% 25.28/4.41 | all_130_0 = 0)
% 25.28/4.41 |
% 25.28/4.41 | ALPHA: (167) implies:
% 25.28/4.41 | (168) aScalar0(xP) = all_130_2
% 25.28/4.41 | (169) aScalar0(xP) = all_130_1
% 25.28/4.41 | (170) aScalar0(all_43_0) = all_130_0
% 25.28/4.41 | (171) ~ (all_130_1 = 0) | ~ (all_130_2 = 0) | all_130_0 = 0
% 25.28/4.41 |
% 25.28/4.41 | DELTA: instantiating (114) with fresh symbols all_132_0, all_132_1, all_132_2
% 25.28/4.41 | gives:
% 25.28/4.41 | (172) aScalar0(all_43_1) = all_132_0 & aScalar0(xS) = all_132_1 &
% 25.28/4.41 | aScalar0(xR) = all_132_2 & ( ~ (all_132_1 = 0) | ~ (all_132_2 = 0) |
% 25.28/4.41 | all_132_0 = 0)
% 25.28/4.41 |
% 25.28/4.41 | ALPHA: (172) implies:
% 25.28/4.41 | (173) aScalar0(xR) = all_132_2
% 25.28/4.41 | (174) aScalar0(xS) = all_132_1
% 25.28/4.41 | (175) aScalar0(all_43_1) = all_132_0
% 25.28/4.41 | (176) ~ (all_132_1 = 0) | ~ (all_132_2 = 0) | all_132_0 = 0
% 25.28/4.41 |
% 25.28/4.41 | DELTA: instantiating (137) with fresh symbols all_134_0, all_134_1, all_134_2,
% 25.28/4.41 | all_134_3, all_134_4 gives:
% 25.28/4.41 | (177) aVector0(xq) = all_134_3 & aVector0(xp) = all_134_4 &
% 25.28/4.41 | aDimensionOf0(xq) = all_134_1 & aDimensionOf0(xp) = all_134_2 &
% 25.28/4.41 | aScalar0(xE) = all_134_0 & $i(all_134_1) & $i(all_134_2) & ( ~
% 25.28/4.41 | (all_134_1 = all_134_2) | ~ (all_134_3 = 0) | ~ (all_134_4 = 0) |
% 25.28/4.41 | all_134_0 = 0)
% 25.28/4.41 |
% 25.28/4.41 | ALPHA: (177) implies:
% 25.28/4.41 | (178) aScalar0(xE) = all_134_0
% 25.28/4.41 |
% 25.28/4.41 | DELTA: instantiating (133) with fresh symbols all_140_0, all_140_1, all_140_2,
% 25.28/4.41 | all_140_3, all_140_4, all_140_5 gives:
% 25.28/4.41 | (179) sdtlseqdt0(sz0z00, all_140_1) = all_140_0 & sdtlseqdt0(sz0z00,
% 25.28/4.41 | all_140_3) = all_140_2 & sdtasdt0(all_43_0, all_43_1) = all_140_1 &
% 25.28/4.41 | sdtpldt0(all_43_0, all_43_1) = all_140_3 & aScalar0(all_43_0) =
% 25.28/4.41 | all_140_5 & aScalar0(all_43_1) = all_140_4 & $i(all_140_1) &
% 25.28/4.41 | $i(all_140_3) & ( ~ (all_140_4 = 0) | ~ (all_140_5 = 0) | (all_140_0
% 25.28/4.41 | = 0 & all_140_2 = 0))
% 25.28/4.41 |
% 25.28/4.41 | ALPHA: (179) implies:
% 25.28/4.41 | (180) aScalar0(all_43_1) = all_140_4
% 25.28/4.41 | (181) aScalar0(all_43_0) = all_140_5
% 25.28/4.41 |
% 25.28/4.41 | DELTA: instantiating (128) with fresh symbols all_142_0, all_142_1, all_142_2,
% 25.28/4.41 | all_142_3, all_142_4, all_142_5 gives:
% 25.28/4.41 | (182) sdtlseqdt0(sz0z00, all_142_1) = all_142_0 & sdtlseqdt0(sz0z00,
% 25.28/4.41 | all_142_3) = all_142_2 & sdtasdt0(all_43_1, all_43_1) = all_142_1 &
% 25.28/4.41 | sdtpldt0(all_43_1, all_43_1) = all_142_3 & aScalar0(all_43_1) =
% 25.28/4.41 | all_142_4 & aScalar0(all_43_1) = all_142_5 & $i(all_142_1) &
% 25.28/4.41 | $i(all_142_3) & ( ~ (all_142_4 = 0) | ~ (all_142_5 = 0) | (all_142_0
% 25.28/4.41 | = 0 & all_142_2 = 0))
% 25.28/4.41 |
% 25.28/4.41 | ALPHA: (182) implies:
% 25.28/4.41 | (183) aScalar0(all_43_1) = all_142_5
% 25.28/4.41 | (184) aScalar0(all_43_1) = all_142_4
% 25.28/4.41 | (185) sdtasdt0(all_43_1, all_43_1) = all_142_1
% 25.28/4.41 |
% 25.28/4.41 | DELTA: instantiating (132) with fresh symbols all_144_0, all_144_1, all_144_2,
% 25.28/4.41 | all_144_3, all_144_4, all_144_5 gives:
% 25.28/4.41 | (186) sdtlseqdt0(sz0z00, all_144_1) = all_144_0 & sdtlseqdt0(sz0z00,
% 25.28/4.41 | all_144_3) = all_144_2 & sdtasdt0(all_43_1, all_43_0) = all_144_1 &
% 25.28/4.41 | sdtpldt0(all_43_1, all_43_0) = all_144_3 & aScalar0(all_43_0) =
% 25.28/4.41 | all_144_4 & aScalar0(all_43_1) = all_144_5 & $i(all_144_1) &
% 25.28/4.41 | $i(all_144_3) & ( ~ (all_144_4 = 0) | ~ (all_144_5 = 0) | (all_144_0
% 25.28/4.41 | = 0 & all_144_2 = 0))
% 25.28/4.41 |
% 25.28/4.41 | ALPHA: (186) implies:
% 25.28/4.41 | (187) aScalar0(all_43_1) = all_144_5
% 25.28/4.42 | (188) aScalar0(all_43_0) = all_144_4
% 25.28/4.42 |
% 25.28/4.42 | DELTA: instantiating (129) with fresh symbols all_146_0, all_146_1, all_146_2,
% 25.28/4.42 | all_146_3, all_146_4, all_146_5 gives:
% 25.28/4.42 | (189) sdtlseqdt0(sz0z00, all_146_1) = all_146_0 & sdtlseqdt0(sz0z00,
% 25.28/4.42 | all_146_3) = all_146_2 & sdtasdt0(all_43_0, all_43_0) = all_146_1 &
% 25.28/4.42 | sdtpldt0(all_43_0, all_43_0) = all_146_3 & aScalar0(all_43_0) =
% 25.28/4.42 | all_146_4 & aScalar0(all_43_0) = all_146_5 & $i(all_146_1) &
% 25.28/4.42 | $i(all_146_3) & ( ~ (all_146_4 = 0) | ~ (all_146_5 = 0) | (all_146_0
% 25.28/4.42 | = 0 & all_146_2 = 0))
% 25.28/4.42 |
% 25.28/4.42 | ALPHA: (189) implies:
% 25.28/4.42 | (190) aScalar0(all_43_0) = all_146_5
% 25.28/4.42 | (191) aScalar0(all_43_0) = all_146_4
% 25.28/4.42 | (192) sdtasdt0(all_43_0, all_43_0) = all_146_1
% 25.28/4.42 |
% 25.28/4.42 | DELTA: instantiating (118) with fresh symbols all_156_0, all_156_1, all_156_2,
% 25.28/4.42 | all_156_3, all_156_4, all_156_5, all_156_6, all_156_7, all_156_8 gives:
% 25.28/4.42 | (193) sdtasdt0(all_156_3, xH) = all_156_2 & sdtasdt0(xH, xH) = all_156_1 &
% 25.28/4.42 | sdtasdt0(xE, all_156_5) = all_156_4 & sdtpldt0(xP, all_156_1) =
% 25.28/4.42 | all_156_0 & sdtpldt0(xH, xH) = all_156_5 & sdtpldt0(xE, xH) =
% 25.28/4.42 | all_156_3 & aScalar0(xH) = all_156_6 & aScalar0(xH) = all_156_7 &
% 25.28/4.42 | aScalar0(xE) = all_156_8 & $i(all_156_0) & $i(all_156_1) &
% 25.28/4.42 | $i(all_156_2) & $i(all_156_3) & $i(all_156_4) & $i(all_156_5) & ( ~
% 25.28/4.42 | (all_156_6 = 0) | ~ (all_156_7 = 0) | ~ (all_156_8 = 0) |
% 25.28/4.42 | (all_156_0 = all_156_2 & all_156_4 = all_43_0))
% 25.28/4.42 |
% 25.28/4.42 | ALPHA: (193) implies:
% 25.28/4.42 | (194) aScalar0(xE) = all_156_8
% 25.28/4.42 | (195) aScalar0(xH) = all_156_7
% 25.28/4.42 | (196) aScalar0(xH) = all_156_6
% 25.28/4.42 | (197) ~ (all_156_6 = 0) | ~ (all_156_7 = 0) | ~ (all_156_8 = 0) |
% 25.28/4.42 | (all_156_0 = all_156_2 & all_156_4 = all_43_0)
% 25.28/4.42 |
% 25.28/4.42 | DELTA: instantiating (121) with fresh symbols all_158_0, all_158_1, all_158_2,
% 25.28/4.42 | all_158_3, all_158_4, all_158_5, all_158_6, all_158_7, all_158_8 gives:
% 25.28/4.42 | (198) sdtasdt0(all_158_3, xP) = all_158_2 & sdtasdt0(xP, all_158_5) =
% 25.28/4.42 | all_158_4 & sdtasdt0(xP, xP) = all_158_1 & sdtpldt0(all_37_0,
% 25.28/4.42 | all_158_1) = all_158_0 & sdtpldt0(xP, xP) = all_158_3 &
% 25.28/4.42 | sdtpldt0(xP, xP) = all_158_5 & aScalar0(xP) = all_158_6 &
% 25.28/4.42 | aScalar0(xP) = all_158_7 & aScalar0(xP) = all_158_8 & $i(all_158_0) &
% 25.28/4.42 | $i(all_158_1) & $i(all_158_2) & $i(all_158_3) & $i(all_158_4) &
% 25.28/4.42 | $i(all_158_5) & ( ~ (all_158_6 = 0) | ~ (all_158_7 = 0) | ~
% 25.28/4.42 | (all_158_8 = 0) | (all_158_0 = all_158_2 & all_158_4 = all_57_3))
% 25.28/4.42 |
% 25.28/4.42 | ALPHA: (198) implies:
% 25.28/4.42 | (199) aScalar0(xP) = all_158_8
% 25.28/4.42 | (200) aScalar0(xP) = all_158_7
% 25.28/4.42 | (201) aScalar0(xP) = all_158_6
% 25.28/4.42 |
% 25.28/4.42 | BETA: splitting (134) gives:
% 25.28/4.42 |
% 25.28/4.42 | Case 1:
% 25.28/4.42 | |
% 25.28/4.42 | | (202) all_49_0 = 0
% 25.28/4.42 | |
% 25.28/4.42 | | REDUCE: (45), (202) imply:
% 25.28/4.42 | | (203) $false
% 25.28/4.42 | |
% 25.28/4.42 | | CLOSE: (203) is inconsistent.
% 25.28/4.42 | |
% 25.28/4.42 | Case 2:
% 25.28/4.42 | |
% 25.28/4.42 | | (204) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : ? [v4:
% 25.28/4.42 | | any] : ? [v5: any] : (sdtlseqdt0(xP, xS) = v5 & sdtlseqdt0(xP,
% 25.28/4.42 | | xR) = v4 & aScalar0(xS) = v3 & aScalar0(xP) = v2 & aScalar0(xP)
% 25.28/4.42 | | = v0 & aScalar0(xR) = v1 & ( ~ (v5 = 0) | ~ (v4 = 0) | ~ (v3 =
% 25.28/4.42 | | 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0)))
% 25.28/4.42 | |
% 25.28/4.42 | | DELTA: instantiating (204) with fresh symbols all_168_0, all_168_1,
% 25.28/4.42 | | all_168_2, all_168_3, all_168_4, all_168_5 gives:
% 25.28/4.42 | | (205) sdtlseqdt0(xP, xS) = all_168_0 & sdtlseqdt0(xP, xR) = all_168_1 &
% 25.28/4.42 | | aScalar0(xS) = all_168_2 & aScalar0(xP) = all_168_3 & aScalar0(xP)
% 25.28/4.42 | | = all_168_5 & aScalar0(xR) = all_168_4 & ( ~ (all_168_0 = 0) | ~
% 25.28/4.42 | | (all_168_1 = 0) | ~ (all_168_2 = 0) | ~ (all_168_3 = 0) | ~
% 25.28/4.42 | | (all_168_4 = 0) | ~ (all_168_5 = 0))
% 25.28/4.42 | |
% 25.28/4.42 | | ALPHA: (205) implies:
% 25.28/4.42 | | (206) aScalar0(xR) = all_168_4
% 25.28/4.42 | | (207) aScalar0(xP) = all_168_5
% 25.28/4.42 | | (208) aScalar0(xP) = all_168_3
% 25.28/4.42 | |
% 25.28/4.42 | | GROUND_INST: instantiating (27) with 0, all_120_2, xE, simplifying with (6),
% 25.28/4.42 | | (152) gives:
% 25.28/4.42 | | (209) all_120_2 = 0
% 25.28/4.42 | |
% 25.28/4.42 | | GROUND_INST: instantiating (27) with all_120_2, all_120_1, xE, simplifying
% 25.28/4.42 | | with (152), (153) gives:
% 25.28/4.42 | | (210) all_120_1 = all_120_2
% 25.28/4.42 | |
% 25.28/4.42 | | GROUND_INST: instantiating (27) with all_120_1, all_134_0, xE, simplifying
% 25.28/4.42 | | with (153), (178) gives:
% 25.28/4.42 | | (211) all_134_0 = all_120_1
% 25.28/4.42 | |
% 25.28/4.42 | | GROUND_INST: instantiating (27) with all_134_0, all_156_8, xE, simplifying
% 25.28/4.42 | | with (178), (194) gives:
% 25.28/4.42 | | (212) all_156_8 = all_134_0
% 25.28/4.42 | |
% 25.28/4.42 | | GROUND_INST: instantiating (27) with all_102_1, all_156_8, xE, simplifying
% 25.28/4.42 | | with (147), (194) gives:
% 25.28/4.42 | | (213) all_156_8 = all_102_1
% 25.28/4.42 | |
% 25.28/4.42 | | GROUND_INST: instantiating (27) with 0, all_156_6, xH, simplifying with (8),
% 25.28/4.42 | | (196) gives:
% 25.28/4.42 | | (214) all_156_6 = 0
% 25.28/4.42 | |
% 25.28/4.43 | | GROUND_INST: instantiating (27) with all_156_7, all_156_6, xH, simplifying
% 25.28/4.43 | | with (195), (196) gives:
% 25.28/4.43 | | (215) all_156_6 = all_156_7
% 25.28/4.43 | |
% 25.28/4.43 | | GROUND_INST: instantiating (27) with all_124_1, all_132_2, xR, simplifying
% 25.28/4.43 | | with (156), (173) gives:
% 25.28/4.43 | | (216) all_132_2 = all_124_1
% 25.28/4.43 | |
% 25.28/4.43 | | GROUND_INST: instantiating (27) with all_96_1, all_132_2, xR, simplifying
% 25.28/4.43 | | with (143), (173) gives:
% 25.28/4.43 | | (217) all_132_2 = all_96_1
% 25.28/4.43 | |
% 25.28/4.43 | | GROUND_INST: instantiating (27) with 0, all_168_4, xR, simplifying with (9),
% 25.28/4.43 | | (206) gives:
% 25.28/4.43 | | (218) all_168_4 = 0
% 25.28/4.43 | |
% 25.28/4.43 | | GROUND_INST: instantiating (27) with all_124_1, all_168_4, xR, simplifying
% 25.28/4.43 | | with (156), (206) gives:
% 25.28/4.43 | | (219) all_168_4 = all_124_1
% 25.28/4.43 | |
% 25.28/4.43 | | GROUND_INST: instantiating (27) with all_124_2, all_168_4, xR, simplifying
% 25.28/4.43 | | with (155), (206) gives:
% 25.28/4.43 | | (220) all_168_4 = all_124_2
% 25.28/4.43 | |
% 25.28/4.43 | | GROUND_INST: instantiating (27) with 0, all_118_2, xP, simplifying with
% 25.28/4.43 | | (11), (149) gives:
% 25.28/4.43 | | (221) all_118_2 = 0
% 25.28/4.43 | |
% 25.28/4.43 | | GROUND_INST: instantiating (27) with all_118_2, all_118_1, xP, simplifying
% 25.28/4.43 | | with (149), (150) gives:
% 25.28/4.43 | | (222) all_118_1 = all_118_2
% 25.28/4.43 | |
% 25.28/4.43 | | GROUND_INST: instantiating (27) with all_158_8, all_158_7, xP, simplifying
% 25.28/4.43 | | with (199), (200) gives:
% 25.28/4.43 | | (223) all_158_7 = all_158_8
% 25.28/4.43 | |
% 25.28/4.43 | | GROUND_INST: instantiating (27) with all_98_1, all_158_7, xP, simplifying
% 25.28/4.43 | | with (145), (200) gives:
% 25.28/4.43 | | (224) all_158_7 = all_98_1
% 25.28/4.43 | |
% 25.28/4.43 | | GROUND_INST: instantiating (27) with all_158_7, all_158_6, xP, simplifying
% 25.28/4.43 | | with (200), (201) gives:
% 25.28/4.43 | | (225) all_158_6 = all_158_7
% 25.28/4.43 | |
% 25.28/4.43 | | GROUND_INST: instantiating (27) with all_130_1, all_158_6, xP, simplifying
% 25.28/4.43 | | with (169), (201) gives:
% 25.28/4.43 | | (226) all_158_6 = all_130_1
% 25.28/4.43 | |
% 25.28/4.43 | | GROUND_INST: instantiating (27) with all_118_1, all_158_6, xP, simplifying
% 25.28/4.43 | | with (150), (201) gives:
% 25.28/4.43 | | (227) all_158_6 = all_118_1
% 25.28/4.43 | |
% 25.28/4.43 | | GROUND_INST: instantiating (27) with all_168_5, all_168_3, xP, simplifying
% 25.28/4.43 | | with (207), (208) gives:
% 25.28/4.43 | | (228) all_168_3 = all_168_5
% 25.28/4.43 | |
% 25.28/4.43 | | GROUND_INST: instantiating (27) with all_158_6, all_168_3, xP, simplifying
% 25.28/4.43 | | with (201), (208) gives:
% 25.28/4.43 | | (229) all_168_3 = all_158_6
% 25.28/4.43 | |
% 25.28/4.43 | | GROUND_INST: instantiating (27) with all_130_2, all_168_3, xP, simplifying
% 25.28/4.43 | | with (168), (208) gives:
% 25.28/4.43 | | (230) all_168_3 = all_130_2
% 25.28/4.43 | |
% 25.28/4.43 | | GROUND_INST: instantiating (27) with 0, all_132_1, xS, simplifying with
% 25.28/4.43 | | (13), (174) gives:
% 25.28/4.43 | | (231) all_132_1 = 0
% 25.28/4.43 | |
% 25.28/4.43 | | GROUND_INST: instantiating (27) with all_128_2, all_140_4, all_43_1,
% 25.28/4.43 | | simplifying with (163), (180) gives:
% 25.28/4.43 | | (232) all_140_4 = all_128_2
% 25.28/4.43 | |
% 25.28/4.43 | | GROUND_INST: instantiating (27) with all_140_4, all_142_4, all_43_1,
% 25.28/4.43 | | simplifying with (180), (184) gives:
% 25.28/4.43 | | (233) all_142_4 = all_140_4
% 25.28/4.43 | |
% 25.28/4.43 | | GROUND_INST: instantiating (27) with all_132_0, all_142_4, all_43_1,
% 25.28/4.43 | | simplifying with (175), (184) gives:
% 25.28/4.43 | | (234) all_142_4 = all_132_0
% 25.28/4.43 | |
% 25.28/4.43 | | GROUND_INST: instantiating (27) with all_128_1, all_142_4, all_43_1,
% 25.28/4.43 | | simplifying with (164), (184) gives:
% 25.28/4.43 | | (235) all_142_4 = all_128_1
% 25.28/4.43 | |
% 25.28/4.43 | | GROUND_INST: instantiating (27) with all_92_1, all_142_4, all_43_1,
% 25.28/4.43 | | simplifying with (141), (184) gives:
% 25.28/4.43 | | (236) all_142_4 = all_92_1
% 25.28/4.43 | |
% 25.28/4.43 | | GROUND_INST: instantiating (27) with all_142_4, all_144_5, all_43_1,
% 25.28/4.43 | | simplifying with (184), (187) gives:
% 25.28/4.43 | | (237) all_144_5 = all_142_4
% 25.28/4.43 | |
% 25.28/4.43 | | GROUND_INST: instantiating (27) with all_142_5, all_144_5, all_43_1,
% 25.28/4.43 | | simplifying with (183), (187) gives:
% 25.28/4.43 | | (238) all_144_5 = all_142_5
% 25.28/4.43 | |
% 25.28/4.43 | | GROUND_INST: instantiating (27) with all_90_1, all_126_1, all_43_0,
% 25.28/4.43 | | simplifying with (139), (159) gives:
% 25.28/4.43 | | (239) all_126_1 = all_90_1
% 25.28/4.43 | |
% 25.28/4.43 | | GROUND_INST: instantiating (27) with all_130_0, all_144_4, all_43_0,
% 25.28/4.43 | | simplifying with (170), (188) gives:
% 25.28/4.43 | | (240) all_144_4 = all_130_0
% 25.28/4.43 | |
% 25.28/4.43 | | GROUND_INST: instantiating (27) with all_126_1, all_144_4, all_43_0,
% 25.28/4.43 | | simplifying with (159), (188) gives:
% 25.28/4.43 | | (241) all_144_4 = all_126_1
% 25.28/4.43 | |
% 25.28/4.43 | | GROUND_INST: instantiating (27) with all_144_4, all_146_5, all_43_0,
% 25.28/4.43 | | simplifying with (188), (190) gives:
% 25.28/4.43 | | (242) all_146_5 = all_144_4
% 25.28/4.43 | |
% 25.28/4.43 | | GROUND_INST: instantiating (27) with all_140_5, all_146_5, all_43_0,
% 25.28/4.43 | | simplifying with (181), (190) gives:
% 25.28/4.43 | | (243) all_146_5 = all_140_5
% 25.28/4.43 | |
% 25.28/4.43 | | GROUND_INST: instantiating (27) with all_144_4, all_146_4, all_43_0,
% 25.28/4.43 | | simplifying with (188), (191) gives:
% 25.28/4.43 | | (244) all_146_4 = all_144_4
% 25.28/4.43 | |
% 25.28/4.43 | | GROUND_INST: instantiating (27) with all_126_2, all_146_4, all_43_0,
% 25.28/4.43 | | simplifying with (158), (191) gives:
% 25.28/4.43 | | (245) all_146_4 = all_126_2
% 25.28/4.43 | |
% 25.28/4.43 | | GROUND_INST: instantiating (29) with all_53_2, all_142_1, all_43_1,
% 25.28/4.43 | | all_43_1, simplifying with (105), (185) gives:
% 25.28/4.43 | | (246) all_142_1 = all_53_2
% 25.28/4.43 | |
% 25.28/4.43 | | GROUND_INST: instantiating (29) with all_53_0, all_146_1, all_43_0,
% 25.28/4.43 | | all_43_0, simplifying with (104), (192) gives:
% 25.28/4.43 | | (247) all_146_1 = all_53_0
% 25.28/4.43 | |
% 25.28/4.43 | | COMBINE_EQS: (228), (230) imply:
% 25.28/4.43 | | (248) all_168_5 = all_130_2
% 25.28/4.43 | |
% 25.28/4.43 | | COMBINE_EQS: (228), (229) imply:
% 25.28/4.43 | | (249) all_168_5 = all_158_6
% 25.28/4.43 | |
% 25.28/4.43 | | COMBINE_EQS: (219), (220) imply:
% 25.28/4.43 | | (250) all_124_1 = all_124_2
% 25.28/4.43 | |
% 25.28/4.43 | | SIMP: (250) implies:
% 25.28/4.43 | | (251) all_124_1 = all_124_2
% 25.28/4.43 | |
% 25.28/4.43 | | COMBINE_EQS: (218), (220) imply:
% 25.28/4.43 | | (252) all_124_2 = 0
% 25.28/4.43 | |
% 25.28/4.43 | | COMBINE_EQS: (248), (249) imply:
% 25.28/4.43 | | (253) all_158_6 = all_130_2
% 25.28/4.43 | |
% 25.28/4.43 | | SIMP: (253) implies:
% 25.28/4.43 | | (254) all_158_6 = all_130_2
% 25.28/4.43 | |
% 25.28/4.43 | | COMBINE_EQS: (225), (226) imply:
% 25.28/4.43 | | (255) all_158_7 = all_130_1
% 25.28/4.43 | |
% 25.28/4.43 | | SIMP: (255) implies:
% 25.28/4.43 | | (256) all_158_7 = all_130_1
% 25.28/4.43 | |
% 25.28/4.43 | | COMBINE_EQS: (226), (227) imply:
% 25.28/4.43 | | (257) all_130_1 = all_118_1
% 25.28/4.43 | |
% 25.28/4.43 | | COMBINE_EQS: (226), (254) imply:
% 25.28/4.44 | | (258) all_130_1 = all_130_2
% 25.28/4.44 | |
% 25.28/4.44 | | COMBINE_EQS: (223), (224) imply:
% 25.28/4.44 | | (259) all_158_8 = all_98_1
% 25.28/4.44 | |
% 25.28/4.44 | | COMBINE_EQS: (223), (256) imply:
% 25.28/4.44 | | (260) all_158_8 = all_130_1
% 25.28/4.44 | |
% 25.28/4.44 | | COMBINE_EQS: (259), (260) imply:
% 25.28/4.44 | | (261) all_130_1 = all_98_1
% 25.28/4.44 | |
% 25.28/4.44 | | SIMP: (261) implies:
% 25.28/4.44 | | (262) all_130_1 = all_98_1
% 25.28/4.44 | |
% 25.28/4.44 | | COMBINE_EQS: (214), (215) imply:
% 25.28/4.44 | | (263) all_156_7 = 0
% 25.28/4.44 | |
% 25.28/4.44 | | COMBINE_EQS: (212), (213) imply:
% 25.28/4.44 | | (264) all_134_0 = all_102_1
% 25.28/4.44 | |
% 25.28/4.44 | | SIMP: (264) implies:
% 25.28/4.44 | | (265) all_134_0 = all_102_1
% 25.28/4.44 | |
% 25.28/4.44 | | COMBINE_EQS: (244), (245) imply:
% 25.28/4.44 | | (266) all_144_4 = all_126_2
% 25.28/4.44 | |
% 25.28/4.44 | | SIMP: (266) implies:
% 25.28/4.44 | | (267) all_144_4 = all_126_2
% 25.28/4.44 | |
% 25.28/4.44 | | COMBINE_EQS: (242), (243) imply:
% 25.28/4.44 | | (268) all_144_4 = all_140_5
% 25.28/4.44 | |
% 25.28/4.44 | | SIMP: (268) implies:
% 25.28/4.44 | | (269) all_144_4 = all_140_5
% 25.28/4.44 | |
% 25.28/4.44 | | COMBINE_EQS: (267), (269) imply:
% 25.28/4.44 | | (270) all_140_5 = all_126_2
% 25.28/4.44 | |
% 25.28/4.44 | | COMBINE_EQS: (240), (269) imply:
% 25.28/4.44 | | (271) all_140_5 = all_130_0
% 25.28/4.44 | |
% 25.28/4.44 | | COMBINE_EQS: (241), (269) imply:
% 25.28/4.44 | | (272) all_140_5 = all_126_1
% 25.28/4.44 | |
% 25.28/4.44 | | COMBINE_EQS: (237), (238) imply:
% 25.28/4.44 | | (273) all_142_4 = all_142_5
% 25.28/4.44 | |
% 25.28/4.44 | | SIMP: (273) implies:
% 25.28/4.44 | | (274) all_142_4 = all_142_5
% 25.28/4.44 | |
% 25.28/4.44 | | COMBINE_EQS: (234), (274) imply:
% 25.28/4.44 | | (275) all_142_5 = all_132_0
% 25.28/4.44 | |
% 25.28/4.44 | | COMBINE_EQS: (233), (274) imply:
% 25.28/4.44 | | (276) all_142_5 = all_140_4
% 25.28/4.44 | |
% 25.28/4.44 | | COMBINE_EQS: (235), (274) imply:
% 25.28/4.44 | | (277) all_142_5 = all_128_1
% 25.28/4.44 | |
% 25.28/4.44 | | COMBINE_EQS: (236), (274) imply:
% 25.28/4.44 | | (278) all_142_5 = all_92_1
% 25.28/4.44 | |
% 25.28/4.44 | | COMBINE_EQS: (275), (277) imply:
% 25.28/4.44 | | (279) all_132_0 = all_128_1
% 25.28/4.44 | |
% 25.28/4.44 | | COMBINE_EQS: (275), (278) imply:
% 25.28/4.44 | | (280) all_132_0 = all_92_1
% 25.28/4.44 | |
% 25.28/4.44 | | COMBINE_EQS: (275), (276) imply:
% 25.28/4.44 | | (281) all_140_4 = all_132_0
% 25.28/4.44 | |
% 25.28/4.44 | | SIMP: (281) implies:
% 25.28/4.44 | | (282) all_140_4 = all_132_0
% 25.28/4.44 | |
% 25.28/4.44 | | COMBINE_EQS: (232), (282) imply:
% 25.28/4.44 | | (283) all_132_0 = all_128_2
% 25.28/4.44 | |
% 25.28/4.44 | | SIMP: (283) implies:
% 25.28/4.44 | | (284) all_132_0 = all_128_2
% 25.28/4.44 | |
% 25.28/4.44 | | COMBINE_EQS: (271), (272) imply:
% 25.28/4.44 | | (285) all_130_0 = all_126_1
% 25.28/4.44 | |
% 25.28/4.44 | | COMBINE_EQS: (270), (271) imply:
% 25.28/4.44 | | (286) all_130_0 = all_126_2
% 25.28/4.44 | |
% 25.28/4.44 | | COMBINE_EQS: (211), (265) imply:
% 25.28/4.44 | | (287) all_120_1 = all_102_1
% 25.28/4.44 | |
% 25.28/4.44 | | SIMP: (287) implies:
% 25.28/4.44 | | (288) all_120_1 = all_102_1
% 25.28/4.44 | |
% 25.28/4.44 | | COMBINE_EQS: (279), (280) imply:
% 25.28/4.44 | | (289) all_128_1 = all_92_1
% 25.28/4.44 | |
% 25.28/4.44 | | COMBINE_EQS: (279), (284) imply:
% 25.28/4.44 | | (290) all_128_1 = all_128_2
% 25.28/4.44 | |
% 25.28/4.44 | | COMBINE_EQS: (216), (217) imply:
% 25.28/4.44 | | (291) all_124_1 = all_96_1
% 25.28/4.44 | |
% 25.28/4.44 | | SIMP: (291) implies:
% 25.28/4.44 | | (292) all_124_1 = all_96_1
% 25.28/4.44 | |
% 25.28/4.44 | | COMBINE_EQS: (285), (286) imply:
% 25.28/4.44 | | (293) all_126_1 = all_126_2
% 25.28/4.44 | |
% 25.28/4.44 | | SIMP: (293) implies:
% 25.28/4.44 | | (294) all_126_1 = all_126_2
% 25.28/4.44 | |
% 25.28/4.44 | | COMBINE_EQS: (258), (262) imply:
% 25.28/4.44 | | (295) all_130_2 = all_98_1
% 25.28/4.44 | |
% 25.28/4.44 | | COMBINE_EQS: (257), (258) imply:
% 25.28/4.44 | | (296) all_130_2 = all_118_1
% 25.28/4.44 | |
% 25.28/4.44 | | COMBINE_EQS: (295), (296) imply:
% 25.28/4.44 | | (297) all_118_1 = all_98_1
% 25.28/4.44 | |
% 25.28/4.44 | | SIMP: (297) implies:
% 25.28/4.44 | | (298) all_118_1 = all_98_1
% 25.28/4.44 | |
% 25.28/4.44 | | COMBINE_EQS: (289), (290) imply:
% 25.28/4.44 | | (299) all_128_2 = all_92_1
% 25.28/4.44 | |
% 25.28/4.44 | | SIMP: (299) implies:
% 25.28/4.44 | | (300) all_128_2 = all_92_1
% 25.28/4.44 | |
% 25.28/4.44 | | COMBINE_EQS: (239), (294) imply:
% 25.28/4.44 | | (301) all_126_2 = all_90_1
% 25.28/4.44 | |
% 25.28/4.44 | | COMBINE_EQS: (251), (292) imply:
% 25.28/4.44 | | (302) all_124_2 = all_96_1
% 25.28/4.44 | |
% 25.28/4.44 | | SIMP: (302) implies:
% 25.28/4.44 | | (303) all_124_2 = all_96_1
% 25.28/4.44 | |
% 25.28/4.44 | | COMBINE_EQS: (252), (303) imply:
% 25.28/4.44 | | (304) all_96_1 = 0
% 25.28/4.44 | |
% 25.28/4.44 | | COMBINE_EQS: (210), (288) imply:
% 25.28/4.44 | | (305) all_120_2 = all_102_1
% 25.28/4.44 | |
% 25.28/4.44 | | SIMP: (305) implies:
% 25.28/4.44 | | (306) all_120_2 = all_102_1
% 25.28/4.44 | |
% 25.28/4.44 | | COMBINE_EQS: (209), (306) imply:
% 25.28/4.44 | | (307) all_102_1 = 0
% 25.28/4.44 | |
% 25.28/4.44 | | COMBINE_EQS: (222), (298) imply:
% 25.28/4.44 | | (308) all_118_2 = all_98_1
% 25.28/4.44 | |
% 25.28/4.44 | | SIMP: (308) implies:
% 25.28/4.44 | | (309) all_118_2 = all_98_1
% 25.28/4.44 | |
% 25.28/4.44 | | COMBINE_EQS: (221), (309) imply:
% 25.28/4.44 | | (310) all_98_1 = 0
% 25.28/4.44 | |
% 25.28/4.44 | | COMBINE_EQS: (295), (310) imply:
% 25.28/4.44 | | (311) all_130_2 = 0
% 25.28/4.44 | |
% 25.28/4.44 | | COMBINE_EQS: (258), (311) imply:
% 25.28/4.44 | | (312) all_130_1 = 0
% 25.28/4.44 | |
% 25.28/4.44 | | COMBINE_EQS: (286), (301) imply:
% 25.28/4.44 | | (313) all_130_0 = all_90_1
% 25.28/4.44 | |
% 25.28/4.44 | | COMBINE_EQS: (217), (304) imply:
% 25.28/4.44 | | (314) all_132_2 = 0
% 25.28/4.44 | |
% 25.28/4.44 | | COMBINE_EQS: (213), (307) imply:
% 25.28/4.44 | | (315) all_156_8 = 0
% 25.28/4.44 | |
% 25.28/4.44 | | BETA: splitting (176) gives:
% 25.28/4.44 | |
% 25.28/4.44 | | Case 1:
% 25.28/4.44 | | |
% 25.28/4.44 | | | (316) ~ (all_132_1 = 0)
% 25.28/4.44 | | |
% 25.28/4.44 | | | REDUCE: (231), (316) imply:
% 25.28/4.44 | | | (317) $false
% 25.28/4.44 | | |
% 25.28/4.44 | | | CLOSE: (317) is inconsistent.
% 25.28/4.44 | | |
% 25.28/4.44 | | Case 2:
% 25.28/4.44 | | |
% 25.28/4.44 | | | (318) ~ (all_132_2 = 0) | all_132_0 = 0
% 25.28/4.44 | | |
% 25.28/4.44 | | | BETA: splitting (318) gives:
% 25.28/4.44 | | |
% 25.28/4.44 | | | Case 1:
% 25.28/4.44 | | | |
% 25.28/4.44 | | | | (319) ~ (all_132_2 = 0)
% 25.28/4.44 | | | |
% 25.28/4.44 | | | | REDUCE: (314), (319) imply:
% 25.28/4.44 | | | | (320) $false
% 25.28/4.44 | | | |
% 25.28/4.44 | | | | CLOSE: (320) is inconsistent.
% 25.28/4.44 | | | |
% 25.28/4.44 | | | Case 2:
% 25.28/4.44 | | | |
% 25.28/4.44 | | | | (321) all_132_0 = 0
% 25.28/4.44 | | | |
% 25.28/4.44 | | | | COMBINE_EQS: (280), (321) imply:
% 25.28/4.44 | | | | (322) all_92_1 = 0
% 25.28/4.44 | | | |
% 25.28/4.44 | | | | SIMP: (322) implies:
% 25.28/4.44 | | | | (323) all_92_1 = 0
% 25.28/4.44 | | | |
% 25.28/4.44 | | | | COMBINE_EQS: (300), (323) imply:
% 25.28/4.44 | | | | (324) all_128_2 = 0
% 25.28/4.44 | | | |
% 25.28/4.44 | | | | COMBINE_EQS: (289), (323) imply:
% 25.28/4.44 | | | | (325) all_128_1 = 0
% 25.28/4.44 | | | |
% 25.28/4.44 | | | | REDUCE: (141), (323) imply:
% 25.28/4.44 | | | | (326) aScalar0(all_43_1) = 0
% 25.28/4.44 | | | |
% 25.28/4.44 | | | | BETA: splitting (166) gives:
% 25.28/4.44 | | | |
% 25.28/4.44 | | | | Case 1:
% 25.28/4.44 | | | | |
% 25.28/4.44 | | | | | (327) ~ (all_128_1 = 0)
% 25.28/4.44 | | | | |
% 25.28/4.44 | | | | | REDUCE: (325), (327) imply:
% 25.28/4.44 | | | | | (328) $false
% 25.28/4.45 | | | | |
% 25.28/4.45 | | | | | CLOSE: (328) is inconsistent.
% 25.28/4.45 | | | | |
% 25.28/4.45 | | | | Case 2:
% 25.28/4.45 | | | | |
% 25.28/4.45 | | | | | (329) ~ (all_128_2 = 0) | all_128_0 = 0
% 25.28/4.45 | | | | |
% 25.28/4.45 | | | | | BETA: splitting (171) gives:
% 25.28/4.45 | | | | |
% 25.28/4.45 | | | | | Case 1:
% 25.28/4.45 | | | | | |
% 25.28/4.45 | | | | | | (330) ~ (all_130_1 = 0)
% 25.28/4.45 | | | | | |
% 25.28/4.45 | | | | | | REDUCE: (312), (330) imply:
% 25.28/4.45 | | | | | | (331) $false
% 25.28/4.45 | | | | | |
% 25.28/4.45 | | | | | | CLOSE: (331) is inconsistent.
% 25.28/4.45 | | | | | |
% 25.28/4.45 | | | | | Case 2:
% 25.28/4.45 | | | | | |
% 25.28/4.45 | | | | | | (332) ~ (all_130_2 = 0) | all_130_0 = 0
% 25.28/4.45 | | | | | |
% 25.28/4.45 | | | | | | BETA: splitting (197) gives:
% 25.28/4.45 | | | | | |
% 25.28/4.45 | | | | | | Case 1:
% 25.28/4.45 | | | | | | |
% 25.28/4.45 | | | | | | | (333) ~ (all_156_6 = 0)
% 25.28/4.45 | | | | | | |
% 25.28/4.45 | | | | | | | REDUCE: (214), (333) imply:
% 25.28/4.45 | | | | | | | (334) $false
% 25.28/4.45 | | | | | | |
% 25.28/4.45 | | | | | | | CLOSE: (334) is inconsistent.
% 25.28/4.45 | | | | | | |
% 25.28/4.45 | | | | | | Case 2:
% 25.28/4.45 | | | | | | |
% 25.28/4.45 | | | | | | | (335) ~ (all_156_7 = 0) | ~ (all_156_8 = 0) | (all_156_0 =
% 25.28/4.45 | | | | | | | all_156_2 & all_156_4 = all_43_0)
% 25.28/4.45 | | | | | | |
% 25.28/4.45 | | | | | | | BETA: splitting (332) gives:
% 25.28/4.45 | | | | | | |
% 25.28/4.45 | | | | | | | Case 1:
% 25.28/4.45 | | | | | | | |
% 25.28/4.45 | | | | | | | | (336) ~ (all_130_2 = 0)
% 25.28/4.45 | | | | | | | |
% 25.28/4.45 | | | | | | | | REDUCE: (311), (336) imply:
% 25.28/4.45 | | | | | | | | (337) $false
% 25.28/4.45 | | | | | | | |
% 25.28/4.45 | | | | | | | | CLOSE: (337) is inconsistent.
% 25.28/4.45 | | | | | | | |
% 25.28/4.45 | | | | | | | Case 2:
% 25.28/4.45 | | | | | | | |
% 25.28/4.45 | | | | | | | | (338) all_130_0 = 0
% 25.28/4.45 | | | | | | | |
% 25.28/4.45 | | | | | | | | COMBINE_EQS: (313), (338) imply:
% 25.28/4.45 | | | | | | | | (339) all_90_1 = 0
% 25.28/4.45 | | | | | | | |
% 25.28/4.45 | | | | | | | | SIMP: (339) implies:
% 25.28/4.45 | | | | | | | | (340) all_90_1 = 0
% 25.28/4.45 | | | | | | | |
% 25.28/4.45 | | | | | | | | COMBINE_EQS: (301), (340) imply:
% 25.28/4.45 | | | | | | | | (341) all_126_2 = 0
% 25.28/4.45 | | | | | | | |
% 25.28/4.45 | | | | | | | | COMBINE_EQS: (239), (340) imply:
% 25.28/4.45 | | | | | | | | (342) all_126_1 = 0
% 25.28/4.45 | | | | | | | |
% 25.28/4.45 | | | | | | | | REDUCE: (139), (340) imply:
% 25.28/4.45 | | | | | | | | (343) aScalar0(all_43_0) = 0
% 25.28/4.45 | | | | | | | |
% 25.28/4.45 | | | | | | | | BETA: splitting (131) gives:
% 25.28/4.45 | | | | | | | |
% 25.28/4.45 | | | | | | | | Case 1:
% 25.28/4.45 | | | | | | | | |
% 25.28/4.45 | | | | | | | | | (344) all_43_0 = all_43_1
% 25.28/4.45 | | | | | | | | |
% 25.28/4.45 | | | | | | | | | REDUCE: (34), (344) imply:
% 25.28/4.45 | | | | | | | | | (345) $false
% 25.28/4.45 | | | | | | | | |
% 25.28/4.45 | | | | | | | | | CLOSE: (345) is inconsistent.
% 25.28/4.45 | | | | | | | | |
% 25.28/4.45 | | | | | | | | Case 2:
% 25.28/4.45 | | | | | | | | |
% 25.28/4.45 | | | | | | | | | (346) ? [v0: any] : ? [v1: any] : ? [v2: $i] : ? [v3:
% 25.28/4.45 | | | | | | | | | $i] : (sdtasdt0(all_43_0, all_43_0) = v2 &
% 25.28/4.45 | | | | | | | | | sdtasdt0(all_43_1, all_43_1) = v3 &
% 25.28/4.45 | | | | | | | | | aScalar0(all_43_0) = v0 & aScalar0(all_43_1) = v1 &
% 25.28/4.45 | | | | | | | | | $i(v3) & $i(v2) & ( ~ (v3 = v2) | ~ (v1 = 0) | ~
% 25.28/4.45 | | | | | | | | | (v0 = 0)))
% 25.28/4.45 | | | | | | | | |
% 25.28/4.45 | | | | | | | | | DELTA: instantiating (346) with fresh symbols all_312_0,
% 25.28/4.45 | | | | | | | | | all_312_1, all_312_2, all_312_3 gives:
% 25.28/4.45 | | | | | | | | | (347) sdtasdt0(all_43_0, all_43_0) = all_312_1 &
% 25.28/4.45 | | | | | | | | | sdtasdt0(all_43_1, all_43_1) = all_312_0 &
% 25.28/4.45 | | | | | | | | | aScalar0(all_43_0) = all_312_3 & aScalar0(all_43_1) =
% 25.28/4.45 | | | | | | | | | all_312_2 & $i(all_312_0) & $i(all_312_1) & ( ~
% 25.28/4.45 | | | | | | | | | (all_312_0 = all_312_1) | ~ (all_312_2 = 0) | ~
% 25.28/4.45 | | | | | | | | | (all_312_3 = 0))
% 25.28/4.45 | | | | | | | | |
% 25.28/4.45 | | | | | | | | | ALPHA: (347) implies:
% 25.28/4.45 | | | | | | | | | (348) aScalar0(all_43_1) = all_312_2
% 25.28/4.45 | | | | | | | | | (349) aScalar0(all_43_0) = all_312_3
% 25.28/4.45 | | | | | | | | | (350) sdtasdt0(all_43_1, all_43_1) = all_312_0
% 25.28/4.45 | | | | | | | | | (351) sdtasdt0(all_43_0, all_43_0) = all_312_1
% 25.28/4.45 | | | | | | | | | (352) ~ (all_312_0 = all_312_1) | ~ (all_312_2 = 0) | ~
% 25.28/4.45 | | | | | | | | | (all_312_3 = 0)
% 25.28/4.45 | | | | | | | | |
% 25.28/4.45 | | | | | | | | | BETA: splitting (130) gives:
% 25.28/4.45 | | | | | | | | |
% 25.28/4.45 | | | | | | | | | Case 1:
% 25.28/4.45 | | | | | | | | | |
% 25.28/4.45 | | | | | | | | | | (353) all_43_0 = all_43_1
% 25.28/4.45 | | | | | | | | | |
% 25.28/4.45 | | | | | | | | | | REDUCE: (34), (353) imply:
% 25.28/4.45 | | | | | | | | | | (354) $false
% 25.28/4.45 | | | | | | | | | |
% 25.28/4.45 | | | | | | | | | | CLOSE: (354) is inconsistent.
% 25.28/4.45 | | | | | | | | | |
% 25.28/4.45 | | | | | | | | | Case 2:
% 25.28/4.45 | | | | | | | | | |
% 25.28/4.45 | | | | | | | | | | (355) ? [v0: any] : ? [v1: any] : ? [v2: $i] : ? [v3:
% 25.28/4.45 | | | | | | | | | | $i] : (sdtasdt0(all_43_0, all_43_0) = v3 &
% 25.28/4.45 | | | | | | | | | | sdtasdt0(all_43_1, all_43_1) = v2 &
% 25.28/4.45 | | | | | | | | | | aScalar0(all_43_0) = v1 & aScalar0(all_43_1) = v0
% 25.28/4.45 | | | | | | | | | | & $i(v3) & $i(v2) & ( ~ (v3 = v2) | ~ (v1 = 0) |
% 25.28/4.45 | | | | | | | | | | ~ (v0 = 0)))
% 25.28/4.45 | | | | | | | | | |
% 25.28/4.45 | | | | | | | | | | DELTA: instantiating (355) with fresh symbols all_334_0,
% 25.28/4.45 | | | | | | | | | | all_334_1, all_334_2, all_334_3 gives:
% 25.28/4.45 | | | | | | | | | | (356) sdtasdt0(all_43_0, all_43_0) = all_334_0 &
% 25.28/4.45 | | | | | | | | | | sdtasdt0(all_43_1, all_43_1) = all_334_1 &
% 25.28/4.45 | | | | | | | | | | aScalar0(all_43_0) = all_334_2 & aScalar0(all_43_1)
% 25.28/4.45 | | | | | | | | | | = all_334_3 & $i(all_334_0) & $i(all_334_1) & ( ~
% 25.28/4.45 | | | | | | | | | | (all_334_0 = all_334_1) | ~ (all_334_2 = 0) | ~
% 25.28/4.45 | | | | | | | | | | (all_334_3 = 0))
% 25.28/4.45 | | | | | | | | | |
% 25.28/4.45 | | | | | | | | | | ALPHA: (356) implies:
% 25.28/4.45 | | | | | | | | | | (357) aScalar0(all_43_1) = all_334_3
% 25.28/4.45 | | | | | | | | | | (358) aScalar0(all_43_0) = all_334_2
% 25.28/4.45 | | | | | | | | | | (359) sdtasdt0(all_43_1, all_43_1) = all_334_1
% 25.28/4.45 | | | | | | | | | | (360) sdtasdt0(all_43_0, all_43_0) = all_334_0
% 25.28/4.45 | | | | | | | | | |
% 25.28/4.45 | | | | | | | | | | BETA: splitting (161) gives:
% 25.28/4.45 | | | | | | | | | |
% 25.28/4.45 | | | | | | | | | | Case 1:
% 25.28/4.45 | | | | | | | | | | |
% 25.28/4.45 | | | | | | | | | | | (361) ~ (all_126_1 = 0)
% 25.28/4.45 | | | | | | | | | | |
% 25.28/4.45 | | | | | | | | | | | REDUCE: (342), (361) imply:
% 25.28/4.45 | | | | | | | | | | | (362) $false
% 25.28/4.45 | | | | | | | | | | |
% 25.28/4.45 | | | | | | | | | | | CLOSE: (362) is inconsistent.
% 25.28/4.45 | | | | | | | | | | |
% 25.28/4.45 | | | | | | | | | | Case 2:
% 25.28/4.45 | | | | | | | | | | |
% 25.28/4.45 | | | | | | | | | | | (363) ~ (all_126_2 = 0) | all_126_0 = 0
% 25.28/4.45 | | | | | | | | | | |
% 25.28/4.45 | | | | | | | | | | | BETA: splitting (329) gives:
% 25.28/4.45 | | | | | | | | | | |
% 25.28/4.45 | | | | | | | | | | | Case 1:
% 25.28/4.45 | | | | | | | | | | | |
% 25.28/4.45 | | | | | | | | | | | | (364) ~ (all_128_2 = 0)
% 25.28/4.45 | | | | | | | | | | | |
% 25.28/4.45 | | | | | | | | | | | | REDUCE: (324), (364) imply:
% 25.28/4.45 | | | | | | | | | | | | (365) $false
% 25.28/4.45 | | | | | | | | | | | |
% 25.28/4.45 | | | | | | | | | | | | CLOSE: (365) is inconsistent.
% 25.28/4.45 | | | | | | | | | | | |
% 25.28/4.45 | | | | | | | | | | | Case 2:
% 25.28/4.45 | | | | | | | | | | | |
% 25.28/4.45 | | | | | | | | | | | | (366) all_128_0 = 0
% 25.28/4.45 | | | | | | | | | | | |
% 25.28/4.45 | | | | | | | | | | | | REDUCE: (165), (366) imply:
% 25.28/4.45 | | | | | | | | | | | | (367) aScalar0(all_53_2) = 0
% 25.28/4.45 | | | | | | | | | | | |
% 25.28/4.45 | | | | | | | | | | | | BETA: splitting (363) gives:
% 25.28/4.45 | | | | | | | | | | | |
% 25.28/4.45 | | | | | | | | | | | | Case 1:
% 25.28/4.45 | | | | | | | | | | | | |
% 25.28/4.45 | | | | | | | | | | | | | (368) ~ (all_126_2 = 0)
% 25.28/4.45 | | | | | | | | | | | | |
% 25.28/4.45 | | | | | | | | | | | | | REDUCE: (341), (368) imply:
% 25.28/4.45 | | | | | | | | | | | | | (369) $false
% 25.28/4.45 | | | | | | | | | | | | |
% 25.28/4.45 | | | | | | | | | | | | | CLOSE: (369) is inconsistent.
% 25.28/4.45 | | | | | | | | | | | | |
% 25.28/4.45 | | | | | | | | | | | | Case 2:
% 25.28/4.45 | | | | | | | | | | | | |
% 25.28/4.45 | | | | | | | | | | | | | (370) all_126_0 = 0
% 25.28/4.45 | | | | | | | | | | | | |
% 25.28/4.45 | | | | | | | | | | | | | REDUCE: (160), (370) imply:
% 25.28/4.45 | | | | | | | | | | | | | (371) aScalar0(all_53_0) = 0
% 25.28/4.45 | | | | | | | | | | | | |
% 25.28/4.45 | | | | | | | | | | | | | BETA: splitting (135) gives:
% 25.28/4.45 | | | | | | | | | | | | |
% 25.28/4.45 | | | | | | | | | | | | | Case 1:
% 25.28/4.45 | | | | | | | | | | | | | |
% 25.28/4.45 | | | | | | | | | | | | | | (372) all_53_0 = all_53_2
% 25.28/4.45 | | | | | | | | | | | | | |
% 25.28/4.45 | | | | | | | | | | | | | | REDUCE: (104), (372) imply:
% 25.28/4.45 | | | | | | | | | | | | | | (373) sdtasdt0(all_43_0, all_43_0) = all_53_2
% 25.28/4.45 | | | | | | | | | | | | | |
% 25.28/4.45 | | | | | | | | | | | | | | BETA: splitting (335) gives:
% 25.28/4.45 | | | | | | | | | | | | | |
% 25.28/4.45 | | | | | | | | | | | | | | Case 1:
% 25.28/4.45 | | | | | | | | | | | | | | |
% 25.28/4.45 | | | | | | | | | | | | | | | (374) ~ (all_156_7 = 0)
% 25.28/4.45 | | | | | | | | | | | | | | |
% 25.28/4.45 | | | | | | | | | | | | | | | REDUCE: (263), (374) imply:
% 25.28/4.45 | | | | | | | | | | | | | | | (375) $false
% 25.28/4.45 | | | | | | | | | | | | | | |
% 25.28/4.45 | | | | | | | | | | | | | | | CLOSE: (375) is inconsistent.
% 25.28/4.45 | | | | | | | | | | | | | | |
% 25.66/4.45 | | | | | | | | | | | | | | Case 2:
% 25.66/4.45 | | | | | | | | | | | | | | |
% 25.66/4.45 | | | | | | | | | | | | | | | (376) ~ (all_156_8 = 0) | (all_156_0 = all_156_2 &
% 25.66/4.45 | | | | | | | | | | | | | | | all_156_4 = all_43_0)
% 25.66/4.45 | | | | | | | | | | | | | | |
% 25.66/4.45 | | | | | | | | | | | | | | | BETA: splitting (376) gives:
% 25.66/4.45 | | | | | | | | | | | | | | |
% 25.66/4.45 | | | | | | | | | | | | | | | Case 1:
% 25.66/4.45 | | | | | | | | | | | | | | | |
% 25.66/4.45 | | | | | | | | | | | | | | | | (377) ~ (all_156_8 = 0)
% 25.66/4.45 | | | | | | | | | | | | | | | |
% 25.66/4.45 | | | | | | | | | | | | | | | | REDUCE: (315), (377) imply:
% 25.66/4.45 | | | | | | | | | | | | | | | | (378) $false
% 25.66/4.45 | | | | | | | | | | | | | | | |
% 25.66/4.45 | | | | | | | | | | | | | | | | CLOSE: (378) is inconsistent.
% 25.66/4.45 | | | | | | | | | | | | | | | |
% 25.66/4.45 | | | | | | | | | | | | | | | Case 2:
% 25.66/4.45 | | | | | | | | | | | | | | | |
% 25.66/4.46 | | | | | | | | | | | | | | | |
% 25.66/4.46 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with all_312_2, all_334_3,
% 25.66/4.46 | | | | | | | | | | | | | | | | all_43_1, simplifying with (348), (357) gives:
% 25.66/4.46 | | | | | | | | | | | | | | | | (379) all_334_3 = all_312_2
% 25.66/4.46 | | | | | | | | | | | | | | | |
% 25.66/4.46 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with 0, all_334_3, all_43_1,
% 25.66/4.46 | | | | | | | | | | | | | | | | simplifying with (326), (357) gives:
% 25.66/4.46 | | | | | | | | | | | | | | | | (380) all_334_3 = 0
% 25.66/4.46 | | | | | | | | | | | | | | | |
% 25.66/4.46 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with all_312_3, all_334_2,
% 25.66/4.46 | | | | | | | | | | | | | | | | all_43_0, simplifying with (349), (358) gives:
% 25.66/4.46 | | | | | | | | | | | | | | | | (381) all_334_2 = all_312_3
% 25.66/4.46 | | | | | | | | | | | | | | | |
% 25.66/4.46 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with 0, all_334_2, all_43_0,
% 25.66/4.46 | | | | | | | | | | | | | | | | simplifying with (343), (358) gives:
% 25.66/4.46 | | | | | | | | | | | | | | | | (382) all_334_2 = 0
% 25.66/4.46 | | | | | | | | | | | | | | | |
% 25.66/4.46 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with all_53_2, all_334_1,
% 25.66/4.46 | | | | | | | | | | | | | | | | all_43_1, all_43_1, simplifying with (105), (359)
% 25.66/4.46 | | | | | | | | | | | | | | | | gives:
% 25.66/4.46 | | | | | | | | | | | | | | | | (383) all_334_1 = all_53_2
% 25.66/4.46 | | | | | | | | | | | | | | | |
% 25.66/4.46 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with all_312_0, all_334_1,
% 25.66/4.46 | | | | | | | | | | | | | | | | all_43_1, all_43_1, simplifying with (350), (359)
% 25.66/4.46 | | | | | | | | | | | | | | | | gives:
% 25.66/4.46 | | | | | | | | | | | | | | | | (384) all_334_1 = all_312_0
% 25.66/4.46 | | | | | | | | | | | | | | | |
% 25.66/4.46 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with all_312_1, all_334_0,
% 25.66/4.46 | | | | | | | | | | | | | | | | all_43_0, all_43_0, simplifying with (351), (360)
% 25.66/4.46 | | | | | | | | | | | | | | | | gives:
% 25.66/4.46 | | | | | | | | | | | | | | | | (385) all_334_0 = all_312_1
% 25.66/4.46 | | | | | | | | | | | | | | | |
% 25.66/4.46 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with all_53_2, all_334_0,
% 25.66/4.46 | | | | | | | | | | | | | | | | all_43_0, all_43_0, simplifying with (360), (373)
% 25.66/4.46 | | | | | | | | | | | | | | | | gives:
% 25.66/4.46 | | | | | | | | | | | | | | | | (386) all_334_0 = all_53_2
% 25.66/4.46 | | | | | | | | | | | | | | | |
% 25.66/4.46 | | | | | | | | | | | | | | | | COMBINE_EQS: (385), (386) imply:
% 25.66/4.46 | | | | | | | | | | | | | | | | (387) all_312_1 = all_53_2
% 25.66/4.46 | | | | | | | | | | | | | | | |
% 25.66/4.46 | | | | | | | | | | | | | | | | COMBINE_EQS: (383), (384) imply:
% 25.66/4.46 | | | | | | | | | | | | | | | | (388) all_312_0 = all_53_2
% 25.66/4.46 | | | | | | | | | | | | | | | |
% 25.66/4.46 | | | | | | | | | | | | | | | | SIMP: (388) implies:
% 25.66/4.46 | | | | | | | | | | | | | | | | (389) all_312_0 = all_53_2
% 25.66/4.46 | | | | | | | | | | | | | | | |
% 25.66/4.46 | | | | | | | | | | | | | | | | COMBINE_EQS: (381), (382) imply:
% 25.66/4.46 | | | | | | | | | | | | | | | | (390) all_312_3 = 0
% 25.66/4.46 | | | | | | | | | | | | | | | |
% 25.66/4.46 | | | | | | | | | | | | | | | | SIMP: (390) implies:
% 25.66/4.46 | | | | | | | | | | | | | | | | (391) all_312_3 = 0
% 25.66/4.46 | | | | | | | | | | | | | | | |
% 25.66/4.46 | | | | | | | | | | | | | | | | COMBINE_EQS: (379), (380) imply:
% 25.66/4.46 | | | | | | | | | | | | | | | | (392) all_312_2 = 0
% 25.66/4.46 | | | | | | | | | | | | | | | |
% 25.66/4.46 | | | | | | | | | | | | | | | | SIMP: (392) implies:
% 25.66/4.46 | | | | | | | | | | | | | | | | (393) all_312_2 = 0
% 25.66/4.46 | | | | | | | | | | | | | | | |
% 25.66/4.46 | | | | | | | | | | | | | | | | BETA: splitting (352) gives:
% 25.66/4.46 | | | | | | | | | | | | | | | |
% 25.66/4.46 | | | | | | | | | | | | | | | | Case 1:
% 25.66/4.46 | | | | | | | | | | | | | | | | |
% 25.66/4.46 | | | | | | | | | | | | | | | | | (394) ~ (all_312_2 = 0)
% 25.66/4.46 | | | | | | | | | | | | | | | | |
% 25.66/4.46 | | | | | | | | | | | | | | | | | REDUCE: (393), (394) imply:
% 25.66/4.46 | | | | | | | | | | | | | | | | | (395) $false
% 25.66/4.46 | | | | | | | | | | | | | | | | |
% 25.66/4.46 | | | | | | | | | | | | | | | | | CLOSE: (395) is inconsistent.
% 25.66/4.46 | | | | | | | | | | | | | | | | |
% 25.66/4.46 | | | | | | | | | | | | | | | | Case 2:
% 25.66/4.46 | | | | | | | | | | | | | | | | |
% 25.66/4.46 | | | | | | | | | | | | | | | | | (396) ~ (all_312_0 = all_312_1) | ~ (all_312_3 = 0)
% 25.66/4.46 | | | | | | | | | | | | | | | | |
% 25.66/4.46 | | | | | | | | | | | | | | | | | BETA: splitting (396) gives:
% 25.66/4.46 | | | | | | | | | | | | | | | | |
% 25.66/4.46 | | | | | | | | | | | | | | | | | Case 1:
% 25.66/4.46 | | | | | | | | | | | | | | | | | |
% 25.66/4.46 | | | | | | | | | | | | | | | | | | (397) ~ (all_312_3 = 0)
% 25.66/4.46 | | | | | | | | | | | | | | | | | |
% 25.66/4.46 | | | | | | | | | | | | | | | | | | REDUCE: (391), (397) imply:
% 25.66/4.46 | | | | | | | | | | | | | | | | | | (398) $false
% 25.66/4.46 | | | | | | | | | | | | | | | | | |
% 25.66/4.46 | | | | | | | | | | | | | | | | | | CLOSE: (398) is inconsistent.
% 25.66/4.46 | | | | | | | | | | | | | | | | | |
% 25.66/4.46 | | | | | | | | | | | | | | | | | Case 2:
% 25.66/4.46 | | | | | | | | | | | | | | | | | |
% 25.66/4.46 | | | | | | | | | | | | | | | | | | (399) ~ (all_312_0 = all_312_1)
% 25.66/4.46 | | | | | | | | | | | | | | | | | |
% 25.66/4.46 | | | | | | | | | | | | | | | | | | REDUCE: (387), (389), (399) imply:
% 25.66/4.46 | | | | | | | | | | | | | | | | | | (400) $false
% 25.66/4.46 | | | | | | | | | | | | | | | | | |
% 25.66/4.46 | | | | | | | | | | | | | | | | | | CLOSE: (400) is inconsistent.
% 25.66/4.46 | | | | | | | | | | | | | | | | | |
% 25.66/4.46 | | | | | | | | | | | | | | | | | End of split
% 25.66/4.46 | | | | | | | | | | | | | | | | |
% 25.66/4.46 | | | | | | | | | | | | | | | | End of split
% 25.66/4.46 | | | | | | | | | | | | | | | |
% 25.66/4.46 | | | | | | | | | | | | | | | End of split
% 25.66/4.46 | | | | | | | | | | | | | | |
% 25.66/4.46 | | | | | | | | | | | | | | End of split
% 25.66/4.46 | | | | | | | | | | | | | |
% 25.66/4.46 | | | | | | | | | | | | | Case 2:
% 25.66/4.46 | | | | | | | | | | | | | |
% 25.66/4.46 | | | | | | | | | | | | | | (401) ~ (all_53_0 = all_53_2)
% 25.66/4.46 | | | | | | | | | | | | | |
% 25.66/4.46 | | | | | | | | | | | | | | BETA: splitting (136) gives:
% 25.66/4.46 | | | | | | | | | | | | | |
% 25.66/4.46 | | | | | | | | | | | | | | Case 1:
% 25.66/4.46 | | | | | | | | | | | | | | |
% 25.66/4.47 | | | | | | | | | | | | | | | (402) all_53_0 = all_53_2
% 25.66/4.47 | | | | | | | | | | | | | | |
% 25.66/4.47 | | | | | | | | | | | | | | | REDUCE: (401), (402) imply:
% 25.66/4.47 | | | | | | | | | | | | | | | (403) $false
% 25.66/4.47 | | | | | | | | | | | | | | |
% 25.66/4.47 | | | | | | | | | | | | | | | CLOSE: (403) is inconsistent.
% 25.66/4.47 | | | | | | | | | | | | | | |
% 25.66/4.47 | | | | | | | | | | | | | | Case 2:
% 25.66/4.47 | | | | | | | | | | | | | | |
% 25.66/4.47 | | | | | | | | | | | | | | | (404) ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 25.66/4.47 | | | | | | | | | | | | | | | (sdtlseqdt0(all_53_2, all_53_0) = v2 &
% 25.66/4.47 | | | | | | | | | | | | | | | aScalar0(all_53_0) = v0 & aScalar0(all_53_2) =
% 25.66/4.47 | | | | | | | | | | | | | | | v1 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0)))
% 25.66/4.47 | | | | | | | | | | | | | | |
% 25.66/4.47 | | | | | | | | | | | | | | | DELTA: instantiating (404) with fresh symbols all_398_0,
% 25.66/4.47 | | | | | | | | | | | | | | | all_398_1, all_398_2 gives:
% 25.66/4.47 | | | | | | | | | | | | | | | (405) sdtlseqdt0(all_53_2, all_53_0) = all_398_0 &
% 25.66/4.47 | | | | | | | | | | | | | | | aScalar0(all_53_0) = all_398_2 &
% 25.66/4.47 | | | | | | | | | | | | | | | aScalar0(all_53_2) = all_398_1 & ( ~ (all_398_0 =
% 25.66/4.47 | | | | | | | | | | | | | | | 0) | ~ (all_398_1 = 0) | ~ (all_398_2 = 0))
% 25.66/4.47 | | | | | | | | | | | | | | |
% 25.66/4.47 | | | | | | | | | | | | | | | ALPHA: (405) implies:
% 25.66/4.47 | | | | | | | | | | | | | | | (406) aScalar0(all_53_2) = all_398_1
% 25.66/4.47 | | | | | | | | | | | | | | | (407) aScalar0(all_53_0) = all_398_2
% 25.66/4.47 | | | | | | | | | | | | | | | (408) sdtlseqdt0(all_53_2, all_53_0) = all_398_0
% 25.66/4.47 | | | | | | | | | | | | | | | (409) ~ (all_398_0 = 0) | ~ (all_398_1 = 0) | ~
% 25.66/4.47 | | | | | | | | | | | | | | | (all_398_2 = 0)
% 25.66/4.47 | | | | | | | | | | | | | | |
% 25.66/4.47 | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with 0, all_398_1, all_53_2,
% 25.66/4.47 | | | | | | | | | | | | | | | simplifying with (367), (406) gives:
% 25.66/4.47 | | | | | | | | | | | | | | | (410) all_398_1 = 0
% 25.66/4.47 | | | | | | | | | | | | | | |
% 25.66/4.47 | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with 0, all_398_2, all_53_0,
% 25.66/4.47 | | | | | | | | | | | | | | | simplifying with (371), (407) gives:
% 25.66/4.47 | | | | | | | | | | | | | | | (411) all_398_2 = 0
% 25.66/4.47 | | | | | | | | | | | | | | |
% 25.66/4.47 | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with 0, all_398_0, all_53_0,
% 25.66/4.47 | | | | | | | | | | | | | | | all_53_2, simplifying with (59), (408) gives:
% 25.66/4.47 | | | | | | | | | | | | | | | (412) all_398_0 = 0
% 25.66/4.47 | | | | | | | | | | | | | | |
% 25.66/4.47 | | | | | | | | | | | | | | | BETA: splitting (409) gives:
% 25.66/4.47 | | | | | | | | | | | | | | |
% 25.66/4.47 | | | | | | | | | | | | | | | Case 1:
% 25.66/4.47 | | | | | | | | | | | | | | | |
% 25.66/4.47 | | | | | | | | | | | | | | | | (413) ~ (all_398_0 = 0)
% 25.66/4.47 | | | | | | | | | | | | | | | |
% 25.66/4.47 | | | | | | | | | | | | | | | | REDUCE: (412), (413) imply:
% 25.66/4.47 | | | | | | | | | | | | | | | | (414) $false
% 25.66/4.47 | | | | | | | | | | | | | | | |
% 25.66/4.47 | | | | | | | | | | | | | | | | CLOSE: (414) is inconsistent.
% 25.66/4.47 | | | | | | | | | | | | | | | |
% 25.66/4.47 | | | | | | | | | | | | | | | Case 2:
% 25.66/4.47 | | | | | | | | | | | | | | | |
% 25.66/4.47 | | | | | | | | | | | | | | | | (415) ~ (all_398_1 = 0) | ~ (all_398_2 = 0)
% 25.66/4.47 | | | | | | | | | | | | | | | |
% 25.66/4.47 | | | | | | | | | | | | | | | | BETA: splitting (415) gives:
% 25.66/4.47 | | | | | | | | | | | | | | | |
% 25.66/4.47 | | | | | | | | | | | | | | | | Case 1:
% 25.66/4.47 | | | | | | | | | | | | | | | | |
% 25.66/4.47 | | | | | | | | | | | | | | | | | (416) ~ (all_398_1 = 0)
% 25.66/4.47 | | | | | | | | | | | | | | | | |
% 25.66/4.47 | | | | | | | | | | | | | | | | | REDUCE: (410), (416) imply:
% 25.66/4.47 | | | | | | | | | | | | | | | | | (417) $false
% 25.66/4.47 | | | | | | | | | | | | | | | | |
% 25.66/4.47 | | | | | | | | | | | | | | | | | CLOSE: (417) is inconsistent.
% 25.66/4.47 | | | | | | | | | | | | | | | | |
% 25.66/4.47 | | | | | | | | | | | | | | | | Case 2:
% 25.66/4.47 | | | | | | | | | | | | | | | | |
% 25.66/4.47 | | | | | | | | | | | | | | | | | (418) ~ (all_398_2 = 0)
% 25.66/4.47 | | | | | | | | | | | | | | | | |
% 25.66/4.47 | | | | | | | | | | | | | | | | | REDUCE: (411), (418) imply:
% 25.66/4.47 | | | | | | | | | | | | | | | | | (419) $false
% 25.66/4.47 | | | | | | | | | | | | | | | | |
% 25.66/4.47 | | | | | | | | | | | | | | | | | CLOSE: (419) is inconsistent.
% 25.66/4.47 | | | | | | | | | | | | | | | | |
% 25.66/4.47 | | | | | | | | | | | | | | | | End of split
% 25.66/4.47 | | | | | | | | | | | | | | | |
% 25.66/4.47 | | | | | | | | | | | | | | | End of split
% 25.66/4.47 | | | | | | | | | | | | | | |
% 25.66/4.47 | | | | | | | | | | | | | | End of split
% 25.66/4.47 | | | | | | | | | | | | | |
% 25.66/4.47 | | | | | | | | | | | | | End of split
% 25.66/4.47 | | | | | | | | | | | | |
% 25.66/4.47 | | | | | | | | | | | | End of split
% 25.66/4.47 | | | | | | | | | | | |
% 25.66/4.47 | | | | | | | | | | | End of split
% 25.66/4.47 | | | | | | | | | | |
% 25.66/4.47 | | | | | | | | | | End of split
% 25.66/4.47 | | | | | | | | | |
% 25.66/4.47 | | | | | | | | | End of split
% 25.66/4.47 | | | | | | | | |
% 25.66/4.47 | | | | | | | | End of split
% 25.66/4.47 | | | | | | | |
% 25.66/4.47 | | | | | | | End of split
% 25.66/4.47 | | | | | | |
% 25.66/4.47 | | | | | | End of split
% 25.66/4.47 | | | | | |
% 25.66/4.47 | | | | | End of split
% 25.66/4.47 | | | | |
% 25.66/4.47 | | | | End of split
% 25.66/4.47 | | | |
% 25.66/4.47 | | | End of split
% 25.66/4.47 | | |
% 25.66/4.47 | | End of split
% 25.66/4.47 | |
% 25.66/4.47 | End of split
% 25.66/4.47 |
% 25.66/4.47 End of proof
% 25.66/4.47 % SZS output end Proof for theBenchmark
% 25.66/4.47
% 25.66/4.47 3862ms
%------------------------------------------------------------------------------