%------------------------------------------------------------------------------
% File     : Princess---230619
% Problem  : RNG073+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s

% Computer : n008.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 13:57:42 EDT 2023

% Result   : Theorem 12.42s 2.41s
% Output   : Proof 23.24s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : RNG073+2 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13  % Command  : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.16/0.34  % Computer : n008.cluster.edu
% 0.16/0.34  % Model    : x86_64 x86_64
% 0.16/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34  % Memory   : 8042.1875MB
% 0.16/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34  % CPULimit : 300
% 0.16/0.34  % WCLimit  : 300
% 0.16/0.34  % DateTime : Sun Aug 27 02:42:32 EDT 2023
% 0.16/0.34  % CPUTime  : 
% 0.21/0.58  ________       _____
% 0.21/0.58  ___  __ \_________(_)________________________________
% 0.21/0.58  __  /_/ /_  ___/_  /__  __ \  ___/  _ \_  ___/_  ___/
% 0.21/0.58  _  ____/_  /   _  / _  / / / /__ /  __/(__  )_(__  )
% 0.21/0.58  /_/     /_/    /_/  /_/ /_/\___/ \___//____/ /____/
% 0.21/0.58  
% 0.21/0.58  A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.21/0.58  (2023-06-19)
% 0.21/0.58  
% 0.21/0.58  (c) Philipp Rümmer, 2009-2023
% 0.21/0.58  Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.21/0.58                Amanda Stjerna.
% 0.21/0.58  Free software under BSD-3-Clause.
% 0.21/0.58  
% 0.21/0.58  For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.21/0.58  
% 0.21/0.59  Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.21/0.60  Running up to 7 provers in parallel.
% 0.21/0.61  Prover 0: Options:  +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.21/0.61  Prover 1: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.21/0.61  Prover 2: Options:  +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.21/0.61  Prover 3: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.21/0.61  Prover 4: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.21/0.61  Prover 5: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.21/0.61  Prover 6: Options:  -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 3.25/1.18  Prover 1: Preprocessing ...
% 3.68/1.19  Prover 4: Preprocessing ...
% 3.68/1.23  Prover 0: Preprocessing ...
% 3.68/1.23  Prover 3: Preprocessing ...
% 3.68/1.23  Prover 2: Preprocessing ...
% 3.68/1.23  Prover 6: Preprocessing ...
% 3.68/1.23  Prover 5: Preprocessing ...
% 9.20/1.94  Prover 1: Constructing countermodel ...
% 9.20/1.95  Prover 3: Constructing countermodel ...
% 9.20/2.00  Prover 6: Proving ...
% 10.82/2.17  Prover 5: Constructing countermodel ...
% 10.82/2.24  Prover 4: Constructing countermodel ...
% 11.93/2.34  Prover 2: Proving ...
% 12.42/2.41  Prover 3: proved (1800ms)
% 12.42/2.41  
% 12.42/2.41  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.42/2.41  
% 12.42/2.41  Prover 6: stopped
% 12.42/2.42  Prover 5: stopped
% 12.42/2.42  Prover 8: Options:  +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 12.42/2.42  Prover 10: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 12.69/2.42  Prover 2: stopped
% 12.69/2.43  Prover 7: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 12.81/2.44  Prover 11: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 12.81/2.47  Prover 0: Proving ...
% 12.81/2.48  Prover 0: stopped
% 12.81/2.49  Prover 13: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 13.40/2.53  Prover 8: Preprocessing ...
% 13.40/2.57  Prover 10: Preprocessing ...
% 13.86/2.59  Prover 11: Preprocessing ...
% 13.86/2.60  Prover 13: Preprocessing ...
% 13.86/2.60  Prover 7: Preprocessing ...
% 15.10/2.74  Prover 8: Warning: ignoring some quantifiers
% 15.10/2.77  Prover 8: Constructing countermodel ...
% 15.10/2.81  Prover 10: Constructing countermodel ...
% 16.43/2.93  Prover 13: Constructing countermodel ...
% 16.43/2.96  Prover 7: Constructing countermodel ...
% 17.96/3.21  Prover 11: Constructing countermodel ...
% 21.82/3.69  Prover 1: Found proof (size 356)
% 21.82/3.69  Prover 1: proved (3086ms)
% 21.82/3.69  Prover 4: stopped
% 21.82/3.69  Prover 13: stopped
% 21.82/3.69  Prover 11: stopped
% 21.82/3.69  Prover 8: stopped
% 21.82/3.69  Prover 7: stopped
% 21.82/3.69  Prover 10: stopped
% 21.82/3.69  
% 21.82/3.70  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 21.82/3.70  
% 22.28/3.76  % SZS output start Proof for theBenchmark
% 22.28/3.77  Assumptions after simplification:
% 22.28/3.77  ---------------------------------
% 22.28/3.77  
% 22.28/3.77    (mDistr)
% 22.49/3.79     ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] :  ! [v4: $i] :  ! [v5:
% 22.49/3.79      $i] : ( ~ (sdtasdt0(v0, v2) = v4) |  ~ (sdtasdt0(v0, v1) = v3) |  ~
% 22.49/3.79      (sdtpldt0(v3, v4) = v5) |  ~ $i(v2) |  ~ $i(v1) |  ~ $i(v0) |  ? [v6: any] :
% 22.49/3.79       ? [v7: any] :  ? [v8: any] :  ? [v9: $i] :  ? [v10: $i] :  ? [v11: $i] :  ?
% 22.49/3.80      [v12: $i] :  ? [v13: $i] :  ? [v14: $i] : (sdtasdt0(v11, v2) = v12 &
% 22.49/3.80        sdtasdt0(v1, v2) = v13 & sdtasdt0(v0, v9) = v10 & sdtpldt0(v4, v13) = v14
% 22.49/3.80        & sdtpldt0(v1, v2) = v9 & sdtpldt0(v0, v1) = v11 & aScalar0(v2) = v8 &
% 22.49/3.80        aScalar0(v1) = v7 & aScalar0(v0) = v6 & $i(v14) & $i(v13) & $i(v12) &
% 22.49/3.80        $i(v11) & $i(v10) & $i(v9) & ( ~ (v8 = 0) |  ~ (v7 = 0) |  ~ (v6 = 0) |
% 22.49/3.80          (v14 = v12 & v10 = v5))))
% 22.49/3.80  
% 22.49/3.80    (mLEASm)
% 22.49/3.80     ! [v0: $i] :  ! [v1: $i] : (v1 = v0 |  ~ (sdtlseqdt0(v0, v1) = 0) |  ~ $i(v1)
% 22.49/3.80      |  ~ $i(v0) |  ? [v2: any] :  ? [v3: any] :  ? [v4: any] : (sdtlseqdt0(v1,
% 22.49/3.80          v0) = v4 & aScalar0(v1) = v3 & aScalar0(v0) = v2 & ( ~ (v4 = 0) |  ~ (v3
% 22.49/3.80            = 0) |  ~ (v2 = 0))))
% 22.49/3.80  
% 22.49/3.80    (mLEMon)
% 22.49/3.80     ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] :  ! [v4: $i] :  ! [v5:
% 22.49/3.80      $i] :  ! [v6: int] : (v6 = 0 |  ~ (sdtlseqdt0(v4, v5) = v6) |  ~
% 22.49/3.80      (sdtpldt0(v1, v3) = v5) |  ~ (sdtpldt0(v0, v2) = v4) |  ~ $i(v3) |  ~ $i(v2)
% 22.49/3.80      |  ~ $i(v1) |  ~ $i(v0) |  ? [v7: any] :  ? [v8: any] :  ? [v9: any] :  ?
% 22.49/3.80      [v10: any] :  ? [v11: any] :  ? [v12: any] : (sdtlseqdt0(v2, v3) = v12 &
% 22.49/3.80        sdtlseqdt0(v0, v1) = v11 & aScalar0(v3) = v10 & aScalar0(v2) = v9 &
% 22.49/3.80        aScalar0(v1) = v8 & aScalar0(v0) = v7 & ( ~ (v12 = 0) |  ~ (v11 = 0) |  ~
% 22.49/3.80          (v10 = 0) |  ~ (v9 = 0) |  ~ (v8 = 0) |  ~ (v7 = 0))))
% 22.49/3.80  
% 22.49/3.80    (mMulSc)
% 22.49/3.80     ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] : ( ~ (sdtasdt0(v0, v1) = v2) |  ~
% 22.49/3.80      $i(v1) |  ~ $i(v0) |  ? [v3: any] :  ? [v4: any] :  ? [v5: any] :
% 22.49/3.80      (aScalar0(v2) = v5 & aScalar0(v1) = v4 & aScalar0(v0) = v3 & ( ~ (v4 = 0) | 
% 22.49/3.80          ~ (v3 = 0) | v5 = 0)))
% 22.49/3.80  
% 22.49/3.80    (mPosMon)
% 22.49/3.80    $i(sz0z00) &  ! [v0: $i] :  ! [v1: $i] : ( ~ (sdtlseqdt0(sz0z00, v1) = 0) |  ~
% 22.49/3.80      (sdtlseqdt0(sz0z00, v0) = 0) |  ~ $i(v1) |  ~ $i(v0) |  ? [v2: any] :  ?
% 22.49/3.80      [v3: any] :  ? [v4: $i] :  ? [v5: any] :  ? [v6: $i] :  ? [v7: any] :
% 22.49/3.80      (sdtlseqdt0(sz0z00, v6) = v7 & sdtlseqdt0(sz0z00, v4) = v5 & sdtasdt0(v0,
% 22.49/3.80          v1) = v6 & sdtpldt0(v0, v1) = v4 & aScalar0(v1) = v3 & aScalar0(v0) = v2
% 22.49/3.80        & $i(v6) & $i(v4) & ( ~ (v3 = 0) |  ~ (v2 = 0) | (v7 = 0 & v5 = 0))))
% 22.49/3.80  
% 22.49/3.80    (mSqPos)
% 22.49/3.80    $i(sz0z00) &  ! [v0: $i] :  ! [v1: $i] : ( ~ (sdtasdt0(v0, v0) = v1) |  ~
% 22.49/3.80      $i(v0) |  ? [v2: any] :  ? [v3: any] : (sdtlseqdt0(sz0z00, v1) = v3 &
% 22.49/3.80        aScalar0(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 22.49/3.80  
% 22.49/3.80    (mSqrt)
% 22.49/3.80    $i(sz0z00) &  ! [v0: $i] :  ! [v1: $i] : (v1 = v0 |  ~ (sdtlseqdt0(sz0z00, v1)
% 22.49/3.80        = 0) |  ~ (sdtlseqdt0(sz0z00, v0) = 0) |  ~ $i(v1) |  ~ $i(v0) |  ? [v2:
% 22.49/3.80        any] :  ? [v3: any] :  ? [v4: $i] :  ? [v5: $i] : (sdtasdt0(v1, v1) = v5 &
% 22.49/3.80        sdtasdt0(v0, v0) = v4 & aScalar0(v1) = v3 & aScalar0(v0) = v2 & $i(v5) &
% 22.49/3.80        $i(v4) & ( ~ (v5 = v4) |  ~ (v3 = 0) |  ~ (v2 = 0))))
% 22.49/3.80  
% 22.49/3.80    (mSumSc)
% 22.49/3.80     ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] : ( ~ (sdtpldt0(v0, v1) = v2) |  ~
% 22.49/3.80      $i(v1) |  ~ $i(v0) |  ? [v3: any] :  ? [v4: any] :  ? [v5: any] :
% 22.49/3.81      (aScalar0(v2) = v5 & aScalar0(v1) = v4 & aScalar0(v0) = v3 & ( ~ (v4 = 0) | 
% 22.49/3.81          ~ (v3 = 0) | v5 = 0)))
% 22.49/3.81  
% 22.49/3.81    (m__)
% 22.49/3.81    $i(xS) & $i(xP) & $i(xR) &  ? [v0: $i] :  ? [v1: $i] : ( ~ (v1 = v0) &
% 22.49/3.81      sdtpldt0(xP, xP) = v1 & sdtpldt0(xR, xS) = v0 & $i(v1) & $i(v0))
% 22.49/3.81  
% 22.49/3.81    (m__1892)
% 22.49/3.81    sdtasdt0(xC, xG) = xR & aScalar0(xR) = 0 & $i(xR) & $i(xG) & $i(xC)
% 22.49/3.81  
% 22.49/3.81    (m__1911)
% 22.49/3.81    sdtasdt0(xE, xH) = xP & aScalar0(xP) = 0 & $i(xP) & $i(xH) & $i(xE)
% 22.49/3.81  
% 22.49/3.81    (m__1930)
% 22.49/3.81    sdtasdt0(xF, xD) = xS & aScalar0(xS) = 0 & $i(xS) & $i(xF) & $i(xD)
% 22.49/3.81  
% 22.49/3.81    (m__2004)
% 22.49/3.81    $i(xN) & $i(xP) &  ? [v0: $i] : (sdtlseqdt0(v0, xN) = 0 & sdtasdt0(xP, xP) =
% 22.49/3.81      v0 & $i(v0))
% 22.49/3.81  
% 22.49/3.81    (m__2104)
% 22.49/3.81    $i(xS) & $i(xP) & $i(xR) &  ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] :  ? [v3:
% 22.49/3.81      $i] :  ? [v4: $i] : (sdtlseqdt0(v1, v4) = 0 & sdtasdt0(xS, xS) = v3 &
% 22.49/3.81      sdtasdt0(xP, xP) = v0 & sdtasdt0(xR, xR) = v2 & sdtpldt0(v2, v3) = v4 &
% 22.49/3.81      sdtpldt0(v0, v0) = v1 & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 22.49/3.81  
% 22.49/3.81    (m__2405)
% 22.49/3.81    $i(xS) & $i(xP) & $i(xR) &  ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] :  ? [v3:
% 22.49/3.81      $i] : (sdtlseqdt0(v1, v3) = 0 & sdtasdt0(v2, v2) = v3 & sdtasdt0(v0, v0) =
% 22.49/3.81      v1 & sdtpldt0(xP, xP) = v0 & sdtpldt0(xR, xS) = v2 & $i(v3) & $i(v2) &
% 22.49/3.81      $i(v1) & $i(v0))
% 22.49/3.81  
% 22.49/3.81    (m__2590)
% 22.49/3.81    $i(xS) & $i(xP) & $i(xR) &  ? [v0: $i] :  ? [v1: $i] :  ? [v2: int] : ( ~ (v2
% 22.49/3.81        = 0) & sdtlseqdt0(v0, v1) = v2 & sdtpldt0(xP, xP) = v0 & sdtpldt0(xR, xS)
% 22.49/3.81      = v1 & $i(v1) & $i(v0))
% 22.49/3.81  
% 22.49/3.81    (m__2610)
% 22.49/3.81    $i(xS) & $i(xP) & $i(xR) &  ? [v0: $i] :  ? [v1: $i] : (sdtlseqdt0(v0, v1) = 0
% 22.49/3.81      & sdtpldt0(xP, xP) = v1 & sdtpldt0(xR, xS) = v0 & $i(v1) & $i(v0))
% 22.49/3.81  
% 22.49/3.81    (m__2628)
% 22.49/3.81    $i(xS) & $i(xP) & $i(xR) & $i(sz0z00) &  ? [v0: $i] :  ? [v1: $i] :
% 22.49/3.81    (sdtlseqdt0(sz0z00, v1) = 0 & sdtlseqdt0(sz0z00, v0) = 0 & sdtpldt0(xP, xP) =
% 22.49/3.81      v1 & sdtpldt0(xR, xS) = v0 & $i(v1) & $i(v0))
% 22.49/3.81  
% 22.49/3.81    (m__2654)
% 22.49/3.81    $i(xS) & $i(xP) & $i(xR) &  ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] :  ? [v3:
% 22.49/3.81      $i] : (sdtlseqdt0(v1, v3) = 0 & sdtasdt0(v2, v2) = v3 & sdtasdt0(v0, v0) =
% 22.49/3.81      v1 & sdtpldt0(xP, xP) = v2 & sdtpldt0(xR, xS) = v0 & $i(v3) & $i(v2) &
% 22.49/3.81      $i(v1) & $i(v0))
% 22.49/3.81  
% 22.49/3.81    (function-axioms)
% 22.49/3.82     ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 22.49/3.82      (sdtasasdt0(v3, v2) = v1) |  ~ (sdtasasdt0(v3, v2) = v0)) &  ! [v0: $i] :  !
% 22.49/3.82    [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~ (sdtlbdtrb0(v3, v2) = v1)
% 22.49/3.82      |  ~ (sdtlbdtrb0(v3, v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1:
% 22.49/3.82      MultipleValueBool] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 22.49/3.82      (sdtlseqdt0(v3, v2) = v1) |  ~ (sdtlseqdt0(v3, v2) = v0)) &  ! [v0: $i] :  !
% 22.49/3.82    [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~ (sdtasdt0(v3, v2) = v1) |
% 22.49/3.82       ~ (sdtasdt0(v3, v2) = v0)) &  ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  !
% 22.49/3.82    [v3: $i] : (v1 = v0 |  ~ (sdtpldt0(v3, v2) = v1) |  ~ (sdtpldt0(v3, v2) = v0))
% 22.49/3.82    &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] :  !
% 22.49/3.82    [v3: $i] : (v1 = v0 |  ~ (iLess0(v3, v2) = v1) |  ~ (iLess0(v3, v2) = v0)) & 
% 22.49/3.82    ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] : (v1 = v0 |  ~ (sziznziztdt0(v2) = v1)
% 22.49/3.82      |  ~ (sziznziztdt0(v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1:
% 22.49/3.82      MultipleValueBool] :  ! [v2: $i] : (v1 = v0 |  ~ (aVector0(v2) = v1) |  ~
% 22.49/3.82      (aVector0(v2) = v0)) &  ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] : (v1 = v0 | 
% 22.49/3.82      ~ (aDimensionOf0(v2) = v1) |  ~ (aDimensionOf0(v2) = v0)) &  ! [v0: $i] :  !
% 22.49/3.82    [v1: $i] :  ! [v2: $i] : (v1 = v0 |  ~ (smndt0(v2) = v1) |  ~ (smndt0(v2) =
% 22.49/3.82        v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 22.49/3.82      $i] : (v1 = v0 |  ~ (aScalar0(v2) = v1) |  ~ (aScalar0(v2) = v0)) &  ! [v0:
% 22.49/3.82      $i] :  ! [v1: $i] :  ! [v2: $i] : (v1 = v0 |  ~ (szszuzczcdt0(v2) = v1) |  ~
% 22.49/3.82      (szszuzczcdt0(v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1:
% 22.49/3.82      MultipleValueBool] :  ! [v2: $i] : (v1 = v0 |  ~ (aNaturalNumber0(v2) = v1)
% 22.49/3.82      |  ~ (aNaturalNumber0(v2) = v0))
% 22.49/3.82  
% 22.49/3.82  Further assumptions not needed in the proof:
% 22.49/3.82  --------------------------------------------
% 22.49/3.82  mArith, mDefInit, mDefSPN, mDefSPZ, mDimNat, mDistr2, mElmSc, mEqInit, mIH,
% 22.49/3.82  mIHOrd, mLEMonM, mLERef, mLETot, mLETrn, mLess, mMDNeg, mMNeg, mNatExtr,
% 22.49/3.82  mNatSort, mNegSc, mSZeroSc, mScPr, mScSort, mScSqPos, mScZero, mSuccEqu,
% 22.49/3.82  mSuccNat, mVcSort, mZeroNat, m__1652, m__1678, m__1678_01, m__1692, m__1709,
% 22.49/3.82  m__1726, m__1746, m__1766, m__1783, m__1800, m__1820, m__1837, m__1854, m__1873,
% 22.49/3.82  m__1949, m__1967
% 22.49/3.82  
% 22.49/3.82  Those formulas are unsatisfiable:
% 22.49/3.82  ---------------------------------
% 22.49/3.82  
% 22.49/3.82  Begin of proof
% 22.49/3.82  | 
% 22.49/3.82  | ALPHA: (mPosMon) implies:
% 22.49/3.82  |   (1)   ! [v0: $i] :  ! [v1: $i] : ( ~ (sdtlseqdt0(sz0z00, v1) = 0) |  ~
% 22.49/3.82  |          (sdtlseqdt0(sz0z00, v0) = 0) |  ~ $i(v1) |  ~ $i(v0) |  ? [v2: any] :
% 22.49/3.82  |           ? [v3: any] :  ? [v4: $i] :  ? [v5: any] :  ? [v6: $i] :  ? [v7:
% 22.49/3.82  |            any] : (sdtlseqdt0(sz0z00, v6) = v7 & sdtlseqdt0(sz0z00, v4) = v5 &
% 22.49/3.82  |            sdtasdt0(v0, v1) = v6 & sdtpldt0(v0, v1) = v4 & aScalar0(v1) = v3 &
% 22.49/3.82  |            aScalar0(v0) = v2 & $i(v6) & $i(v4) & ( ~ (v3 = 0) |  ~ (v2 = 0) |
% 22.49/3.82  |              (v7 = 0 & v5 = 0))))
% 22.49/3.82  | 
% 22.49/3.82  | ALPHA: (mSqPos) implies:
% 22.49/3.82  |   (2)   ! [v0: $i] :  ! [v1: $i] : ( ~ (sdtasdt0(v0, v0) = v1) |  ~ $i(v0) | 
% 22.49/3.82  |          ? [v2: any] :  ? [v3: any] : (sdtlseqdt0(sz0z00, v1) = v3 &
% 22.49/3.82  |            aScalar0(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 22.49/3.82  | 
% 22.49/3.82  | ALPHA: (mSqrt) implies:
% 22.49/3.82  |   (3)   ! [v0: $i] :  ! [v1: $i] : (v1 = v0 |  ~ (sdtlseqdt0(sz0z00, v1) = 0)
% 22.49/3.82  |          |  ~ (sdtlseqdt0(sz0z00, v0) = 0) |  ~ $i(v1) |  ~ $i(v0) |  ? [v2:
% 22.49/3.82  |            any] :  ? [v3: any] :  ? [v4: $i] :  ? [v5: $i] : (sdtasdt0(v1, v1)
% 22.49/3.82  |            = v5 & sdtasdt0(v0, v0) = v4 & aScalar0(v1) = v3 & aScalar0(v0) =
% 22.49/3.82  |            v2 & $i(v5) & $i(v4) & ( ~ (v5 = v4) |  ~ (v3 = 0) |  ~ (v2 = 0))))
% 22.49/3.82  | 
% 22.49/3.82  | ALPHA: (m__1892) implies:
% 22.49/3.82  |   (4)  aScalar0(xR) = 0
% 22.49/3.82  | 
% 22.49/3.82  | ALPHA: (m__1911) implies:
% 22.49/3.82  |   (5)  aScalar0(xP) = 0
% 22.49/3.82  | 
% 22.49/3.82  | ALPHA: (m__1930) implies:
% 22.49/3.82  |   (6)  aScalar0(xS) = 0
% 22.49/3.82  | 
% 22.49/3.82  | ALPHA: (m__2004) implies:
% 22.49/3.82  |   (7)   ? [v0: $i] : (sdtlseqdt0(v0, xN) = 0 & sdtasdt0(xP, xP) = v0 & $i(v0))
% 22.49/3.82  | 
% 22.49/3.82  | ALPHA: (m__2104) implies:
% 22.49/3.82  |   (8)   ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] :  ? [v3: $i] :  ? [v4: $i] :
% 22.49/3.82  |        (sdtlseqdt0(v1, v4) = 0 & sdtasdt0(xS, xS) = v3 & sdtasdt0(xP, xP) = v0
% 22.49/3.82  |          & sdtasdt0(xR, xR) = v2 & sdtpldt0(v2, v3) = v4 & sdtpldt0(v0, v0) =
% 22.49/3.82  |          v1 & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 22.49/3.82  | 
% 22.49/3.82  | ALPHA: (m__2405) implies:
% 22.49/3.82  |   (9)   ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] :  ? [v3: $i] : (sdtlseqdt0(v1,
% 22.49/3.82  |            v3) = 0 & sdtasdt0(v2, v2) = v3 & sdtasdt0(v0, v0) = v1 &
% 22.49/3.82  |          sdtpldt0(xP, xP) = v0 & sdtpldt0(xR, xS) = v2 & $i(v3) & $i(v2) &
% 22.49/3.82  |          $i(v1) & $i(v0))
% 22.49/3.82  | 
% 22.49/3.82  | ALPHA: (m__2590) implies:
% 22.49/3.83  |   (10)   ? [v0: $i] :  ? [v1: $i] :  ? [v2: int] : ( ~ (v2 = 0) &
% 22.49/3.83  |           sdtlseqdt0(v0, v1) = v2 & sdtpldt0(xP, xP) = v0 & sdtpldt0(xR, xS) =
% 22.49/3.83  |           v1 & $i(v1) & $i(v0))
% 22.49/3.83  | 
% 22.49/3.83  | ALPHA: (m__2610) implies:
% 22.49/3.83  |   (11)   ? [v0: $i] :  ? [v1: $i] : (sdtlseqdt0(v0, v1) = 0 & sdtpldt0(xP, xP)
% 22.49/3.83  |           = v1 & sdtpldt0(xR, xS) = v0 & $i(v1) & $i(v0))
% 22.49/3.83  | 
% 22.49/3.83  | ALPHA: (m__2628) implies:
% 22.49/3.83  |   (12)   ? [v0: $i] :  ? [v1: $i] : (sdtlseqdt0(sz0z00, v1) = 0 &
% 22.49/3.83  |           sdtlseqdt0(sz0z00, v0) = 0 & sdtpldt0(xP, xP) = v1 & sdtpldt0(xR,
% 22.49/3.83  |             xS) = v0 & $i(v1) & $i(v0))
% 22.49/3.83  | 
% 22.49/3.83  | ALPHA: (m__2654) implies:
% 22.49/3.83  |   (13)   ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] :  ? [v3: $i] :
% 22.49/3.83  |         (sdtlseqdt0(v1, v3) = 0 & sdtasdt0(v2, v2) = v3 & sdtasdt0(v0, v0) =
% 22.49/3.83  |           v1 & sdtpldt0(xP, xP) = v2 & sdtpldt0(xR, xS) = v0 & $i(v3) & $i(v2)
% 22.49/3.83  |           & $i(v1) & $i(v0))
% 22.49/3.83  | 
% 22.49/3.83  | ALPHA: (m__) implies:
% 22.49/3.83  |   (14)  $i(xR)
% 22.49/3.83  |   (15)  $i(xP)
% 22.49/3.83  |   (16)  $i(xS)
% 22.49/3.83  |   (17)   ? [v0: $i] :  ? [v1: $i] : ( ~ (v1 = v0) & sdtpldt0(xP, xP) = v1 &
% 22.49/3.83  |           sdtpldt0(xR, xS) = v0 & $i(v1) & $i(v0))
% 22.49/3.83  | 
% 22.49/3.83  | ALPHA: (function-axioms) implies:
% 22.49/3.83  |   (18)   ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i]
% 22.49/3.83  |         : (v1 = v0 |  ~ (aScalar0(v2) = v1) |  ~ (aScalar0(v2) = v0))
% 22.49/3.83  |   (19)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 22.49/3.83  |           (sdtpldt0(v3, v2) = v1) |  ~ (sdtpldt0(v3, v2) = v0))
% 22.49/3.83  |   (20)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 22.49/3.83  |           (sdtasdt0(v3, v2) = v1) |  ~ (sdtasdt0(v3, v2) = v0))
% 22.49/3.83  |   (21)   ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i]
% 22.49/3.83  |         :  ! [v3: $i] : (v1 = v0 |  ~ (sdtlseqdt0(v3, v2) = v1) |  ~
% 22.49/3.83  |           (sdtlseqdt0(v3, v2) = v0))
% 22.49/3.83  | 
% 22.49/3.83  | DELTA: instantiating (7) with fresh symbol all_37_0 gives:
% 22.49/3.83  |   (22)  sdtlseqdt0(all_37_0, xN) = 0 & sdtasdt0(xP, xP) = all_37_0 &
% 22.49/3.83  |         $i(all_37_0)
% 22.49/3.83  | 
% 22.49/3.83  | ALPHA: (22) implies:
% 22.49/3.83  |   (23)  sdtasdt0(xP, xP) = all_37_0
% 22.49/3.83  | 
% 22.49/3.83  | DELTA: instantiating (11) with fresh symbols all_43_0, all_43_1 gives:
% 22.49/3.83  |   (24)  sdtlseqdt0(all_43_1, all_43_0) = 0 & sdtpldt0(xP, xP) = all_43_0 &
% 22.49/3.83  |         sdtpldt0(xR, xS) = all_43_1 & $i(all_43_0) & $i(all_43_1)
% 22.49/3.83  | 
% 22.49/3.83  | ALPHA: (24) implies:
% 22.49/3.83  |   (25)  sdtpldt0(xR, xS) = all_43_1
% 22.49/3.83  |   (26)  sdtpldt0(xP, xP) = all_43_0
% 22.49/3.83  | 
% 22.49/3.83  | DELTA: instantiating (17) with fresh symbols all_45_0, all_45_1 gives:
% 22.49/3.83  |   (27)   ~ (all_45_0 = all_45_1) & sdtpldt0(xP, xP) = all_45_0 & sdtpldt0(xR,
% 22.49/3.83  |           xS) = all_45_1 & $i(all_45_0) & $i(all_45_1)
% 22.49/3.83  | 
% 22.49/3.83  | ALPHA: (27) implies:
% 22.49/3.83  |   (28)   ~ (all_45_0 = all_45_1)
% 22.49/3.83  |   (29)  $i(all_45_1)
% 22.49/3.83  |   (30)  $i(all_45_0)
% 22.49/3.83  |   (31)  sdtpldt0(xR, xS) = all_45_1
% 22.49/3.83  |   (32)  sdtpldt0(xP, xP) = all_45_0
% 22.49/3.83  | 
% 22.49/3.83  | DELTA: instantiating (10) with fresh symbols all_49_0, all_49_1, all_49_2
% 22.49/3.83  |        gives:
% 22.49/3.84  |   (33)   ~ (all_49_0 = 0) & sdtlseqdt0(all_49_2, all_49_1) = all_49_0 &
% 22.49/3.84  |         sdtpldt0(xP, xP) = all_49_2 & sdtpldt0(xR, xS) = all_49_1 &
% 22.49/3.84  |         $i(all_49_1) & $i(all_49_2)
% 22.49/3.84  | 
% 22.49/3.84  | ALPHA: (33) implies:
% 22.49/3.84  |   (34)   ~ (all_49_0 = 0)
% 22.49/3.84  |   (35)  sdtpldt0(xR, xS) = all_49_1
% 22.49/3.84  |   (36)  sdtpldt0(xP, xP) = all_49_2
% 22.49/3.84  |   (37)  sdtlseqdt0(all_49_2, all_49_1) = all_49_0
% 22.49/3.84  | 
% 22.49/3.84  | DELTA: instantiating (12) with fresh symbols all_51_0, all_51_1 gives:
% 22.49/3.84  |   (38)  sdtlseqdt0(sz0z00, all_51_0) = 0 & sdtlseqdt0(sz0z00, all_51_1) = 0 &
% 22.49/3.84  |         sdtpldt0(xP, xP) = all_51_0 & sdtpldt0(xR, xS) = all_51_1 &
% 22.49/3.84  |         $i(all_51_0) & $i(all_51_1)
% 22.49/3.84  | 
% 22.49/3.84  | ALPHA: (38) implies:
% 22.49/3.84  |   (39)  sdtpldt0(xR, xS) = all_51_1
% 22.49/3.84  |   (40)  sdtpldt0(xP, xP) = all_51_0
% 22.49/3.84  |   (41)  sdtlseqdt0(sz0z00, all_51_1) = 0
% 22.49/3.84  |   (42)  sdtlseqdt0(sz0z00, all_51_0) = 0
% 22.49/3.84  | 
% 22.49/3.84  | DELTA: instantiating (9) with fresh symbols all_53_0, all_53_1, all_53_2,
% 22.49/3.84  |        all_53_3 gives:
% 22.49/3.84  |   (43)  sdtlseqdt0(all_53_2, all_53_0) = 0 & sdtasdt0(all_53_1, all_53_1) =
% 22.49/3.84  |         all_53_0 & sdtasdt0(all_53_3, all_53_3) = all_53_2 & sdtpldt0(xP, xP)
% 22.49/3.84  |         = all_53_3 & sdtpldt0(xR, xS) = all_53_1 & $i(all_53_0) & $i(all_53_1)
% 22.49/3.84  |         & $i(all_53_2) & $i(all_53_3)
% 22.49/3.84  | 
% 22.49/3.84  | ALPHA: (43) implies:
% 22.49/3.84  |   (44)  sdtpldt0(xR, xS) = all_53_1
% 22.49/3.84  |   (45)  sdtpldt0(xP, xP) = all_53_3
% 22.49/3.84  |   (46)  sdtasdt0(all_53_3, all_53_3) = all_53_2
% 22.49/3.84  |   (47)  sdtasdt0(all_53_1, all_53_1) = all_53_0
% 22.49/3.84  |   (48)  sdtlseqdt0(all_53_2, all_53_0) = 0
% 22.49/3.84  | 
% 22.49/3.84  | DELTA: instantiating (13) with fresh symbols all_55_0, all_55_1, all_55_2,
% 22.49/3.84  |        all_55_3 gives:
% 22.49/3.84  |   (49)  sdtlseqdt0(all_55_2, all_55_0) = 0 & sdtasdt0(all_55_1, all_55_1) =
% 22.49/3.84  |         all_55_0 & sdtasdt0(all_55_3, all_55_3) = all_55_2 & sdtpldt0(xP, xP)
% 22.49/3.84  |         = all_55_1 & sdtpldt0(xR, xS) = all_55_3 & $i(all_55_0) & $i(all_55_1)
% 22.49/3.84  |         & $i(all_55_2) & $i(all_55_3)
% 22.49/3.84  | 
% 22.49/3.84  | ALPHA: (49) implies:
% 22.49/3.84  |   (50)  $i(all_55_2)
% 22.49/3.84  |   (51)  $i(all_55_0)
% 22.49/3.84  |   (52)  sdtpldt0(xR, xS) = all_55_3
% 22.49/3.84  |   (53)  sdtpldt0(xP, xP) = all_55_1
% 22.49/3.84  |   (54)  sdtasdt0(all_55_3, all_55_3) = all_55_2
% 22.49/3.84  |   (55)  sdtasdt0(all_55_1, all_55_1) = all_55_0
% 22.49/3.84  |   (56)  sdtlseqdt0(all_55_2, all_55_0) = 0
% 22.49/3.84  | 
% 22.49/3.84  | DELTA: instantiating (8) with fresh symbols all_57_0, all_57_1, all_57_2,
% 22.49/3.84  |        all_57_3, all_57_4 gives:
% 22.49/3.84  |   (57)  sdtlseqdt0(all_57_3, all_57_0) = 0 & sdtasdt0(xS, xS) = all_57_1 &
% 22.49/3.84  |         sdtasdt0(xP, xP) = all_57_4 & sdtasdt0(xR, xR) = all_57_2 &
% 22.49/3.84  |         sdtpldt0(all_57_2, all_57_1) = all_57_0 & sdtpldt0(all_57_4, all_57_4)
% 22.49/3.84  |         = all_57_3 & $i(all_57_0) & $i(all_57_1) & $i(all_57_2) & $i(all_57_3)
% 22.49/3.84  |         & $i(all_57_4)
% 22.49/3.84  | 
% 22.49/3.84  | ALPHA: (57) implies:
% 22.49/3.84  |   (58)  sdtpldt0(all_57_4, all_57_4) = all_57_3
% 22.49/3.84  |   (59)  sdtasdt0(xR, xR) = all_57_2
% 22.49/3.84  |   (60)  sdtasdt0(xP, xP) = all_57_4
% 22.49/3.84  |   (61)  sdtasdt0(xS, xS) = all_57_1
% 22.49/3.84  | 
% 22.49/3.84  | GROUND_INST: instantiating (19) with all_45_1, all_49_1, xS, xR, simplifying
% 22.49/3.84  |              with (31), (35) gives:
% 22.49/3.84  |   (62)  all_49_1 = all_45_1
% 22.49/3.84  | 
% 22.49/3.84  | GROUND_INST: instantiating (19) with all_49_1, all_51_1, xS, xR, simplifying
% 22.49/3.84  |              with (35), (39) gives:
% 22.49/3.84  |   (63)  all_51_1 = all_49_1
% 22.49/3.85  | 
% 22.49/3.85  | GROUND_INST: instantiating (19) with all_51_1, all_53_1, xS, xR, simplifying
% 22.49/3.85  |              with (39), (44) gives:
% 22.49/3.85  |   (64)  all_53_1 = all_51_1
% 22.49/3.85  | 
% 22.49/3.85  | GROUND_INST: instantiating (19) with all_53_1, all_55_3, xS, xR, simplifying
% 22.49/3.85  |              with (44), (52) gives:
% 22.49/3.85  |   (65)  all_55_3 = all_53_1
% 22.49/3.85  | 
% 22.49/3.85  | GROUND_INST: instantiating (19) with all_43_1, all_55_3, xS, xR, simplifying
% 22.49/3.85  |              with (25), (52) gives:
% 22.49/3.85  |   (66)  all_55_3 = all_43_1
% 22.49/3.85  | 
% 22.49/3.85  | GROUND_INST: instantiating (19) with all_49_2, all_51_0, xP, xP, simplifying
% 22.49/3.85  |              with (36), (40) gives:
% 22.49/3.85  |   (67)  all_51_0 = all_49_2
% 22.49/3.85  | 
% 22.49/3.85  | GROUND_INST: instantiating (19) with all_49_2, all_53_3, xP, xP, simplifying
% 22.49/3.85  |              with (36), (45) gives:
% 22.49/3.85  |   (68)  all_53_3 = all_49_2
% 22.49/3.85  | 
% 22.87/3.85  | GROUND_INST: instantiating (19) with all_43_0, all_53_3, xP, xP, simplifying
% 22.87/3.85  |              with (26), (45) gives:
% 22.87/3.85  |   (69)  all_53_3 = all_43_0
% 22.87/3.85  | 
% 22.87/3.85  | GROUND_INST: instantiating (19) with all_51_0, all_55_1, xP, xP, simplifying
% 22.87/3.85  |              with (40), (53) gives:
% 22.87/3.85  |   (70)  all_55_1 = all_51_0
% 22.87/3.85  | 
% 22.87/3.85  | GROUND_INST: instantiating (19) with all_45_0, all_55_1, xP, xP, simplifying
% 22.87/3.85  |              with (32), (53) gives:
% 22.87/3.85  |   (71)  all_55_1 = all_45_0
% 22.87/3.85  | 
% 22.87/3.85  | GROUND_INST: instantiating (20) with all_37_0, all_57_4, xP, xP, simplifying
% 22.87/3.85  |              with (23), (60) gives:
% 22.87/3.85  |   (72)  all_57_4 = all_37_0
% 22.87/3.85  | 
% 22.87/3.85  | COMBINE_EQS: (70), (71) imply:
% 22.87/3.85  |   (73)  all_51_0 = all_45_0
% 22.87/3.85  | 
% 22.87/3.85  | SIMP: (73) implies:
% 22.87/3.85  |   (74)  all_51_0 = all_45_0
% 22.87/3.85  | 
% 22.87/3.85  | COMBINE_EQS: (65), (66) imply:
% 22.87/3.85  |   (75)  all_53_1 = all_43_1
% 22.87/3.85  | 
% 22.87/3.85  | SIMP: (75) implies:
% 22.87/3.85  |   (76)  all_53_1 = all_43_1
% 22.87/3.85  | 
% 22.87/3.85  | COMBINE_EQS: (64), (76) imply:
% 22.87/3.85  |   (77)  all_51_1 = all_43_1
% 22.87/3.85  | 
% 22.87/3.85  | SIMP: (77) implies:
% 22.87/3.85  |   (78)  all_51_1 = all_43_1
% 22.87/3.85  | 
% 22.87/3.85  | COMBINE_EQS: (68), (69) imply:
% 22.87/3.85  |   (79)  all_49_2 = all_43_0
% 22.87/3.85  | 
% 22.87/3.85  | SIMP: (79) implies:
% 22.87/3.85  |   (80)  all_49_2 = all_43_0
% 22.87/3.85  | 
% 22.87/3.85  | COMBINE_EQS: (67), (74) imply:
% 22.87/3.85  |   (81)  all_49_2 = all_45_0
% 22.87/3.85  | 
% 22.87/3.85  | SIMP: (81) implies:
% 22.87/3.85  |   (82)  all_49_2 = all_45_0
% 22.87/3.85  | 
% 22.87/3.85  | COMBINE_EQS: (63), (78) imply:
% 22.87/3.85  |   (83)  all_49_1 = all_43_1
% 22.87/3.85  | 
% 22.87/3.85  | SIMP: (83) implies:
% 22.87/3.85  |   (84)  all_49_1 = all_43_1
% 22.87/3.85  | 
% 22.87/3.85  | COMBINE_EQS: (62), (84) imply:
% 22.87/3.85  |   (85)  all_45_1 = all_43_1
% 22.87/3.85  | 
% 22.87/3.85  | COMBINE_EQS: (80), (82) imply:
% 22.87/3.85  |   (86)  all_45_0 = all_43_0
% 22.87/3.85  | 
% 22.87/3.85  | COMBINE_EQS: (74), (86) imply:
% 22.87/3.85  |   (87)  all_51_0 = all_43_0
% 22.87/3.85  | 
% 22.87/3.85  | COMBINE_EQS: (71), (86) imply:
% 22.87/3.85  |   (88)  all_55_1 = all_43_0
% 22.87/3.85  | 
% 22.87/3.85  | REDUCE: (28), (85), (86) imply:
% 22.87/3.85  |   (89)   ~ (all_43_0 = all_43_1)
% 22.87/3.85  | 
% 22.87/3.85  | REDUCE: (37), (80), (84) imply:
% 22.87/3.85  |   (90)  sdtlseqdt0(all_43_0, all_43_1) = all_49_0
% 22.87/3.85  | 
% 22.87/3.85  | REDUCE: (42), (87) imply:
% 22.87/3.85  |   (91)  sdtlseqdt0(sz0z00, all_43_0) = 0
% 22.87/3.85  | 
% 22.87/3.85  | REDUCE: (41), (78) imply:
% 22.87/3.85  |   (92)  sdtlseqdt0(sz0z00, all_43_1) = 0
% 22.87/3.85  | 
% 22.87/3.85  | REDUCE: (55), (88) imply:
% 22.87/3.85  |   (93)  sdtasdt0(all_43_0, all_43_0) = all_55_0
% 22.87/3.85  | 
% 22.87/3.85  | REDUCE: (54), (66) imply:
% 22.87/3.85  |   (94)  sdtasdt0(all_43_1, all_43_1) = all_55_2
% 22.87/3.85  | 
% 22.87/3.85  | REDUCE: (47), (76) imply:
% 22.87/3.85  |   (95)  sdtasdt0(all_43_1, all_43_1) = all_53_0
% 22.87/3.85  | 
% 22.87/3.85  | REDUCE: (46), (69) imply:
% 22.87/3.85  |   (96)  sdtasdt0(all_43_0, all_43_0) = all_53_2
% 22.87/3.85  | 
% 22.87/3.85  | REDUCE: (58), (72) imply:
% 22.87/3.85  |   (97)  sdtpldt0(all_37_0, all_37_0) = all_57_3
% 22.87/3.85  | 
% 22.87/3.85  | REDUCE: (30), (86) imply:
% 22.87/3.85  |   (98)  $i(all_43_0)
% 22.87/3.85  | 
% 22.87/3.85  | REDUCE: (29), (85) imply:
% 22.87/3.85  |   (99)  $i(all_43_1)
% 22.87/3.85  | 
% 22.87/3.85  | GROUND_INST: instantiating (20) with all_53_0, all_55_2, all_43_1, all_43_1,
% 22.87/3.85  |              simplifying with (94), (95) gives:
% 22.87/3.85  |   (100)  all_55_2 = all_53_0
% 22.87/3.85  | 
% 22.87/3.85  | GROUND_INST: instantiating (20) with all_53_2, all_55_0, all_43_0, all_43_0,
% 22.87/3.85  |              simplifying with (93), (96) gives:
% 22.87/3.86  |   (101)  all_55_0 = all_53_2
% 22.87/3.86  | 
% 22.87/3.86  | REDUCE: (56), (100), (101) imply:
% 22.87/3.86  |   (102)  sdtlseqdt0(all_53_0, all_53_2) = 0
% 22.87/3.86  | 
% 22.87/3.86  | REDUCE: (51), (101) imply:
% 22.87/3.86  |   (103)  $i(all_53_2)
% 22.87/3.86  | 
% 22.87/3.86  | REDUCE: (50), (100) imply:
% 22.87/3.86  |   (104)  $i(all_53_0)
% 22.87/3.86  | 
% 22.87/3.86  | GROUND_INST: instantiating (mSumSc) with xR, xS, all_43_1, simplifying with
% 22.87/3.86  |              (14), (16), (25) gives:
% 22.87/3.86  |   (105)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] : (aScalar0(all_43_1) = v2
% 22.87/3.86  |            & aScalar0(xS) = v1 & aScalar0(xR) = v0 & ( ~ (v1 = 0) |  ~ (v0 =
% 22.87/3.86  |                0) | v2 = 0))
% 22.87/3.86  | 
% 22.87/3.86  | GROUND_INST: instantiating (mSumSc) with xP, xP, all_43_0, simplifying with
% 22.87/3.86  |              (15), (26) gives:
% 22.87/3.86  |   (106)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] : (aScalar0(all_43_0) = v2
% 22.87/3.86  |            & aScalar0(xP) = v1 & aScalar0(xP) = v0 & ( ~ (v1 = 0) |  ~ (v0 =
% 22.87/3.87  |                0) | v2 = 0))
% 22.87/3.87  | 
% 22.87/3.87  | GROUND_INST: instantiating (2) with xR, all_57_2, simplifying with (14), (59)
% 22.87/3.87  |              gives:
% 22.87/3.87  |   (107)   ? [v0: any] :  ? [v1: any] : (sdtlseqdt0(sz0z00, all_57_2) = v1 &
% 22.87/3.87  |            aScalar0(xR) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 22.87/3.87  | 
% 22.87/3.87  | GROUND_INST: instantiating (mMulSc) with xR, xR, all_57_2, simplifying with
% 22.87/3.87  |              (14), (59) gives:
% 22.87/3.87  |   (108)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] : (aScalar0(all_57_2) = v2
% 22.87/3.87  |            & aScalar0(xR) = v1 & aScalar0(xR) = v0 & ( ~ (v1 = 0) |  ~ (v0 =
% 22.87/3.87  |                0) | v2 = 0))
% 22.87/3.87  | 
% 22.87/3.87  | GROUND_INST: instantiating (mDistr) with xP, xP, xP, all_37_0, all_37_0,
% 22.87/3.87  |              all_57_3, simplifying with (15), (23), (97) gives:
% 22.87/3.87  |   (109)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :  ? [v3: $i] :  ? [v4:
% 22.87/3.87  |            $i] :  ? [v5: $i] :  ? [v6: $i] :  ? [v7: $i] :  ? [v8: $i] :
% 22.87/3.87  |          (sdtasdt0(v5, xP) = v6 & sdtasdt0(xP, v3) = v4 & sdtasdt0(xP, xP) =
% 22.87/3.87  |            v7 & sdtpldt0(all_37_0, v7) = v8 & sdtpldt0(xP, xP) = v5 &
% 22.87/3.87  |            sdtpldt0(xP, xP) = v3 & aScalar0(xP) = v2 & aScalar0(xP) = v1 &
% 22.87/3.87  |            aScalar0(xP) = v0 & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) &
% 22.87/3.87  |            $i(v3) & ( ~ (v2 = 0) |  ~ (v1 = 0) |  ~ (v0 = 0) | (v8 = v6 & v4 =
% 22.87/3.87  |                all_57_3)))
% 22.87/3.87  | 
% 22.87/3.87  | GROUND_INST: instantiating (mMulSc) with xP, xP, all_37_0, simplifying with
% 22.87/3.87  |              (15), (23) gives:
% 22.87/3.87  |   (110)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] : (aScalar0(all_37_0) = v2
% 22.87/3.87  |            & aScalar0(xP) = v1 & aScalar0(xP) = v0 & ( ~ (v1 = 0) |  ~ (v0 =
% 22.87/3.87  |                0) | v2 = 0))
% 22.87/3.87  | 
% 22.87/3.87  | GROUND_INST: instantiating (2) with xS, all_57_1, simplifying with (16), (61)
% 22.87/3.87  |              gives:
% 22.87/3.87  |   (111)   ? [v0: any] :  ? [v1: any] : (sdtlseqdt0(sz0z00, all_57_1) = v1 &
% 22.87/3.87  |            aScalar0(xS) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 22.87/3.87  | 
% 22.87/3.87  | GROUND_INST: instantiating (mMulSc) with xS, xS, all_57_1, simplifying with
% 22.87/3.87  |              (16), (61) gives:
% 22.87/3.87  |   (112)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] : (aScalar0(all_57_1) = v2
% 22.87/3.87  |            & aScalar0(xS) = v1 & aScalar0(xS) = v0 & ( ~ (v1 = 0) |  ~ (v0 =
% 22.87/3.87  |                0) | v2 = 0))
% 22.87/3.87  | 
% 22.87/3.87  | GROUND_INST: instantiating (2) with all_43_1, all_53_0, simplifying with (95),
% 22.87/3.87  |              (99) gives:
% 22.87/3.87  |   (113)   ? [v0: any] :  ? [v1: any] : (sdtlseqdt0(sz0z00, all_53_0) = v1 &
% 22.87/3.87  |            aScalar0(all_43_1) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 22.87/3.87  | 
% 22.87/3.87  | GROUND_INST: instantiating (mMulSc) with all_43_1, all_43_1, all_53_0,
% 22.87/3.87  |              simplifying with (95), (99) gives:
% 22.87/3.87  |   (114)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] : (aScalar0(all_53_0) = v2
% 22.87/3.87  |            & aScalar0(all_43_1) = v1 & aScalar0(all_43_1) = v0 & ( ~ (v1 = 0)
% 22.87/3.87  |              |  ~ (v0 = 0) | v2 = 0))
% 22.87/3.87  | 
% 22.87/3.87  | GROUND_INST: instantiating (2) with all_43_0, all_53_2, simplifying with (96),
% 22.87/3.87  |              (98) gives:
% 22.87/3.87  |   (115)   ? [v0: any] :  ? [v1: any] : (sdtlseqdt0(sz0z00, all_53_2) = v1 &
% 22.87/3.87  |            aScalar0(all_43_0) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 22.87/3.87  | 
% 22.87/3.87  | GROUND_INST: instantiating (mMulSc) with all_43_0, all_43_0, all_53_2,
% 23.00/3.87  |              simplifying with (96), (98) gives:
% 23.00/3.87  |   (116)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] : (aScalar0(all_53_2) = v2
% 23.00/3.87  |            & aScalar0(all_43_0) = v1 & aScalar0(all_43_0) = v0 & ( ~ (v1 = 0)
% 23.00/3.87  |              |  ~ (v0 = 0) | v2 = 0))
% 23.00/3.87  | 
% 23.00/3.87  | GROUND_INST: instantiating (1) with all_43_1, all_43_1, simplifying with (92),
% 23.00/3.87  |              (99) gives:
% 23.00/3.87  |   (117)   ? [v0: any] :  ? [v1: any] :  ? [v2: $i] :  ? [v3: any] :  ? [v4:
% 23.00/3.87  |            $i] :  ? [v5: any] : (sdtlseqdt0(sz0z00, v4) = v5 &
% 23.00/3.87  |            sdtlseqdt0(sz0z00, v2) = v3 & sdtasdt0(all_43_1, all_43_1) = v4 &
% 23.00/3.87  |            sdtpldt0(all_43_1, all_43_1) = v2 & aScalar0(all_43_1) = v1 &
% 23.00/3.87  |            aScalar0(all_43_1) = v0 & $i(v4) & $i(v2) & ( ~ (v1 = 0) |  ~ (v0 =
% 23.00/3.87  |                0) | (v5 = 0 & v3 = 0)))
% 23.00/3.87  | 
% 23.00/3.87  | GROUND_INST: instantiating (1) with all_43_0, all_43_0, simplifying with (91),
% 23.00/3.87  |              (98) gives:
% 23.00/3.88  |   (118)   ? [v0: any] :  ? [v1: any] :  ? [v2: $i] :  ? [v3: any] :  ? [v4:
% 23.00/3.88  |            $i] :  ? [v5: any] : (sdtlseqdt0(sz0z00, v4) = v5 &
% 23.00/3.88  |            sdtlseqdt0(sz0z00, v2) = v3 & sdtasdt0(all_43_0, all_43_0) = v4 &
% 23.00/3.88  |            sdtpldt0(all_43_0, all_43_0) = v2 & aScalar0(all_43_0) = v1 &
% 23.00/3.88  |            aScalar0(all_43_0) = v0 & $i(v4) & $i(v2) & ( ~ (v1 = 0) |  ~ (v0 =
% 23.00/3.88  |                0) | (v5 = 0 & v3 = 0)))
% 23.00/3.88  | 
% 23.00/3.88  | GROUND_INST: instantiating (3) with all_43_1, all_43_0, simplifying with (91),
% 23.00/3.88  |              (92), (98), (99) gives:
% 23.00/3.88  |   (119)  all_43_0 = all_43_1 |  ? [v0: any] :  ? [v1: any] :  ? [v2: $i] :  ?
% 23.00/3.88  |          [v3: $i] : (sdtasdt0(all_43_0, all_43_0) = v3 & sdtasdt0(all_43_1,
% 23.00/3.88  |              all_43_1) = v2 & aScalar0(all_43_0) = v1 & aScalar0(all_43_1) =
% 23.00/3.88  |            v0 & $i(v3) & $i(v2) & ( ~ (v3 = v2) |  ~ (v1 = 0) |  ~ (v0 = 0)))
% 23.00/3.88  | 
% 23.00/3.88  | GROUND_INST: instantiating (3) with all_43_0, all_43_1, simplifying with (91),
% 23.00/3.88  |              (92), (98), (99) gives:
% 23.00/3.88  |   (120)  all_43_0 = all_43_1 |  ? [v0: any] :  ? [v1: any] :  ? [v2: $i] :  ?
% 23.00/3.88  |          [v3: $i] : (sdtasdt0(all_43_0, all_43_0) = v2 & sdtasdt0(all_43_1,
% 23.00/3.88  |              all_43_1) = v3 & aScalar0(all_43_0) = v0 & aScalar0(all_43_1) =
% 23.00/3.88  |            v1 & $i(v3) & $i(v2) & ( ~ (v3 = v2) |  ~ (v1 = 0) |  ~ (v0 = 0)))
% 23.00/3.88  | 
% 23.00/3.88  | GROUND_INST: instantiating (1) with all_43_1, all_43_0, simplifying with (91),
% 23.00/3.88  |              (92), (98), (99) gives:
% 23.00/3.88  |   (121)   ? [v0: any] :  ? [v1: any] :  ? [v2: $i] :  ? [v3: any] :  ? [v4:
% 23.00/3.88  |            $i] :  ? [v5: any] : (sdtlseqdt0(sz0z00, v4) = v5 &
% 23.00/3.88  |            sdtlseqdt0(sz0z00, v2) = v3 & sdtasdt0(all_43_1, all_43_0) = v4 &
% 23.00/3.88  |            sdtpldt0(all_43_1, all_43_0) = v2 & aScalar0(all_43_0) = v1 &
% 23.00/3.88  |            aScalar0(all_43_1) = v0 & $i(v4) & $i(v2) & ( ~ (v1 = 0) |  ~ (v0 =
% 23.00/3.88  |                0) | (v5 = 0 & v3 = 0)))
% 23.00/3.88  | 
% 23.00/3.88  | GROUND_INST: instantiating (1) with all_43_0, all_43_1, simplifying with (91),
% 23.00/3.88  |              (92), (98), (99) gives:
% 23.00/3.88  |   (122)   ? [v0: any] :  ? [v1: any] :  ? [v2: $i] :  ? [v3: any] :  ? [v4:
% 23.00/3.88  |            $i] :  ? [v5: any] : (sdtlseqdt0(sz0z00, v4) = v5 &
% 23.00/3.88  |            sdtlseqdt0(sz0z00, v2) = v3 & sdtasdt0(all_43_0, all_43_1) = v4 &
% 23.00/3.88  |            sdtpldt0(all_43_0, all_43_1) = v2 & aScalar0(all_43_0) = v0 &
% 23.00/3.88  |            aScalar0(all_43_1) = v1 & $i(v4) & $i(v2) & ( ~ (v1 = 0) |  ~ (v0 =
% 23.00/3.88  |                0) | (v5 = 0 & v3 = 0)))
% 23.00/3.88  | 
% 23.00/3.88  | GROUND_INST: instantiating (mLEMon) with xP, xR, xP, xS, all_43_0, all_43_1,
% 23.00/3.88  |              all_49_0, simplifying with (14), (15), (16), (25), (26), (90)
% 23.00/3.88  |              gives:
% 23.00/3.88  |   (123)  all_49_0 = 0 |  ? [v0: any] :  ? [v1: any] :  ? [v2: any] :  ? [v3:
% 23.00/3.88  |            any] :  ? [v4: any] :  ? [v5: any] : (sdtlseqdt0(xP, xS) = v5 &
% 23.00/3.88  |            sdtlseqdt0(xP, xR) = v4 & aScalar0(xS) = v3 & aScalar0(xP) = v2 &
% 23.00/3.88  |            aScalar0(xP) = v0 & aScalar0(xR) = v1 & ( ~ (v5 = 0) |  ~ (v4 = 0)
% 23.00/3.88  |              |  ~ (v3 = 0) |  ~ (v2 = 0) |  ~ (v1 = 0) |  ~ (v0 = 0)))
% 23.00/3.88  | 
% 23.00/3.88  | GROUND_INST: instantiating (mLEASm) with all_53_2, all_53_0, simplifying with
% 23.00/3.88  |              (48), (103), (104) gives:
% 23.00/3.88  |   (124)  all_53_0 = all_53_2 |  ? [v0: any] :  ? [v1: any] :  ? [v2: any] :
% 23.00/3.88  |          (sdtlseqdt0(all_53_0, all_53_2) = v2 & aScalar0(all_53_0) = v1 &
% 23.00/3.88  |            aScalar0(all_53_2) = v0 & ( ~ (v2 = 0) |  ~ (v1 = 0) |  ~ (v0 =
% 23.00/3.88  |                0)))
% 23.00/3.88  | 
% 23.00/3.88  | GROUND_INST: instantiating (mLEASm) with all_53_0, all_53_2, simplifying with
% 23.00/3.88  |              (102), (103), (104) gives:
% 23.00/3.88  |   (125)  all_53_0 = all_53_2 |  ? [v0: any] :  ? [v1: any] :  ? [v2: any] :
% 23.00/3.88  |          (sdtlseqdt0(all_53_2, all_53_0) = v2 & aScalar0(all_53_0) = v0 &
% 23.00/3.88  |            aScalar0(all_53_2) = v1 & ( ~ (v2 = 0) |  ~ (v1 = 0) |  ~ (v0 =
% 23.00/3.88  |                0)))
% 23.00/3.88  | 
% 23.00/3.88  | DELTA: instantiating (107) with fresh symbols all_94_0, all_94_1 gives:
% 23.00/3.88  |   (126)  sdtlseqdt0(sz0z00, all_57_2) = all_94_0 & aScalar0(xR) = all_94_1 & (
% 23.00/3.88  |            ~ (all_94_1 = 0) | all_94_0 = 0)
% 23.00/3.88  | 
% 23.00/3.88  | ALPHA: (126) implies:
% 23.00/3.88  |   (127)  aScalar0(xR) = all_94_1
% 23.00/3.88  | 
% 23.00/3.88  | DELTA: instantiating (115) with fresh symbols all_100_0, all_100_1 gives:
% 23.00/3.88  |   (128)  sdtlseqdt0(sz0z00, all_53_2) = all_100_0 & aScalar0(all_43_0) =
% 23.00/3.88  |          all_100_1 & ( ~ (all_100_1 = 0) | all_100_0 = 0)
% 23.00/3.88  | 
% 23.00/3.88  | ALPHA: (128) implies:
% 23.00/3.88  |   (129)  aScalar0(all_43_0) = all_100_1
% 23.00/3.88  | 
% 23.00/3.88  | DELTA: instantiating (113) with fresh symbols all_102_0, all_102_1 gives:
% 23.00/3.88  |   (130)  sdtlseqdt0(sz0z00, all_53_0) = all_102_0 & aScalar0(all_43_1) =
% 23.00/3.88  |          all_102_1 & ( ~ (all_102_1 = 0) | all_102_0 = 0)
% 23.00/3.88  | 
% 23.00/3.88  | ALPHA: (130) implies:
% 23.00/3.88  |   (131)  aScalar0(all_43_1) = all_102_1
% 23.00/3.88  | 
% 23.00/3.88  | DELTA: instantiating (111) with fresh symbols all_106_0, all_106_1 gives:
% 23.00/3.88  |   (132)  sdtlseqdt0(sz0z00, all_57_1) = all_106_0 & aScalar0(xS) = all_106_1 &
% 23.00/3.88  |          ( ~ (all_106_1 = 0) | all_106_0 = 0)
% 23.00/3.88  | 
% 23.00/3.88  | ALPHA: (132) implies:
% 23.00/3.88  |   (133)  aScalar0(xS) = all_106_1
% 23.00/3.88  | 
% 23.00/3.88  | DELTA: instantiating (106) with fresh symbols all_126_0, all_126_1, all_126_2
% 23.00/3.88  |        gives:
% 23.00/3.88  |   (134)  aScalar0(all_43_0) = all_126_0 & aScalar0(xP) = all_126_1 &
% 23.00/3.88  |          aScalar0(xP) = all_126_2 & ( ~ (all_126_1 = 0) |  ~ (all_126_2 = 0) |
% 23.00/3.88  |            all_126_0 = 0)
% 23.00/3.88  | 
% 23.00/3.88  | ALPHA: (134) implies:
% 23.00/3.88  |   (135)  aScalar0(xP) = all_126_2
% 23.00/3.88  |   (136)  aScalar0(xP) = all_126_1
% 23.00/3.88  |   (137)  aScalar0(all_43_0) = all_126_0
% 23.00/3.88  |   (138)   ~ (all_126_1 = 0) |  ~ (all_126_2 = 0) | all_126_0 = 0
% 23.00/3.88  | 
% 23.00/3.88  | DELTA: instantiating (112) with fresh symbols all_128_0, all_128_1, all_128_2
% 23.00/3.88  |        gives:
% 23.00/3.88  |   (139)  aScalar0(all_57_1) = all_128_0 & aScalar0(xS) = all_128_1 &
% 23.00/3.88  |          aScalar0(xS) = all_128_2 & ( ~ (all_128_1 = 0) |  ~ (all_128_2 = 0) |
% 23.00/3.88  |            all_128_0 = 0)
% 23.00/3.88  | 
% 23.00/3.88  | ALPHA: (139) implies:
% 23.00/3.88  |   (140)  aScalar0(xS) = all_128_2
% 23.00/3.88  |   (141)  aScalar0(xS) = all_128_1
% 23.00/3.88  | 
% 23.00/3.88  | DELTA: instantiating (116) with fresh symbols all_130_0, all_130_1, all_130_2
% 23.00/3.88  |        gives:
% 23.00/3.88  |   (142)  aScalar0(all_53_2) = all_130_0 & aScalar0(all_43_0) = all_130_1 &
% 23.00/3.88  |          aScalar0(all_43_0) = all_130_2 & ( ~ (all_130_1 = 0) |  ~ (all_130_2
% 23.00/3.88  |              = 0) | all_130_0 = 0)
% 23.00/3.88  | 
% 23.00/3.88  | ALPHA: (142) implies:
% 23.00/3.88  |   (143)  aScalar0(all_43_0) = all_130_2
% 23.00/3.88  |   (144)  aScalar0(all_43_0) = all_130_1
% 23.00/3.88  |   (145)  aScalar0(all_53_2) = all_130_0
% 23.00/3.88  |   (146)   ~ (all_130_1 = 0) |  ~ (all_130_2 = 0) | all_130_0 = 0
% 23.00/3.88  | 
% 23.00/3.88  | DELTA: instantiating (105) with fresh symbols all_132_0, all_132_1, all_132_2
% 23.00/3.88  |        gives:
% 23.00/3.88  |   (147)  aScalar0(all_43_1) = all_132_0 & aScalar0(xS) = all_132_1 &
% 23.00/3.88  |          aScalar0(xR) = all_132_2 & ( ~ (all_132_1 = 0) |  ~ (all_132_2 = 0) |
% 23.00/3.88  |            all_132_0 = 0)
% 23.00/3.88  | 
% 23.00/3.88  | ALPHA: (147) implies:
% 23.00/3.89  |   (148)  aScalar0(xR) = all_132_2
% 23.00/3.89  |   (149)  aScalar0(xS) = all_132_1
% 23.00/3.89  |   (150)  aScalar0(all_43_1) = all_132_0
% 23.00/3.89  |   (151)   ~ (all_132_1 = 0) |  ~ (all_132_2 = 0) | all_132_0 = 0
% 23.00/3.89  | 
% 23.00/3.89  | DELTA: instantiating (108) with fresh symbols all_134_0, all_134_1, all_134_2
% 23.00/3.89  |        gives:
% 23.00/3.89  |   (152)  aScalar0(all_57_2) = all_134_0 & aScalar0(xR) = all_134_1 &
% 23.00/3.89  |          aScalar0(xR) = all_134_2 & ( ~ (all_134_1 = 0) |  ~ (all_134_2 = 0) |
% 23.00/3.89  |            all_134_0 = 0)
% 23.00/3.89  | 
% 23.00/3.89  | ALPHA: (152) implies:
% 23.00/3.89  |   (153)  aScalar0(xR) = all_134_2
% 23.00/3.89  |   (154)  aScalar0(xR) = all_134_1
% 23.00/3.89  | 
% 23.00/3.89  | DELTA: instantiating (114) with fresh symbols all_138_0, all_138_1, all_138_2
% 23.00/3.89  |        gives:
% 23.00/3.89  |   (155)  aScalar0(all_53_0) = all_138_0 & aScalar0(all_43_1) = all_138_1 &
% 23.00/3.89  |          aScalar0(all_43_1) = all_138_2 & ( ~ (all_138_1 = 0) |  ~ (all_138_2
% 23.00/3.89  |              = 0) | all_138_0 = 0)
% 23.00/3.89  | 
% 23.00/3.89  | ALPHA: (155) implies:
% 23.00/3.89  |   (156)  aScalar0(all_43_1) = all_138_2
% 23.00/3.89  |   (157)  aScalar0(all_43_1) = all_138_1
% 23.00/3.89  |   (158)  aScalar0(all_53_0) = all_138_0
% 23.00/3.89  |   (159)   ~ (all_138_1 = 0) |  ~ (all_138_2 = 0) | all_138_0 = 0
% 23.00/3.89  | 
% 23.00/3.89  | DELTA: instantiating (110) with fresh symbols all_140_0, all_140_1, all_140_2
% 23.00/3.89  |        gives:
% 23.00/3.89  |   (160)  aScalar0(all_37_0) = all_140_0 & aScalar0(xP) = all_140_1 &
% 23.00/3.89  |          aScalar0(xP) = all_140_2 & ( ~ (all_140_1 = 0) |  ~ (all_140_2 = 0) |
% 23.00/3.89  |            all_140_0 = 0)
% 23.00/3.89  | 
% 23.00/3.89  | ALPHA: (160) implies:
% 23.00/3.89  |   (161)  aScalar0(xP) = all_140_2
% 23.00/3.89  |   (162)  aScalar0(xP) = all_140_1
% 23.00/3.89  | 
% 23.00/3.89  | DELTA: instantiating (122) with fresh symbols all_146_0, all_146_1, all_146_2,
% 23.00/3.89  |        all_146_3, all_146_4, all_146_5 gives:
% 23.00/3.89  |   (163)  sdtlseqdt0(sz0z00, all_146_1) = all_146_0 & sdtlseqdt0(sz0z00,
% 23.00/3.89  |            all_146_3) = all_146_2 & sdtasdt0(all_43_0, all_43_1) = all_146_1 &
% 23.00/3.89  |          sdtpldt0(all_43_0, all_43_1) = all_146_3 & aScalar0(all_43_0) =
% 23.00/3.89  |          all_146_5 & aScalar0(all_43_1) = all_146_4 & $i(all_146_1) &
% 23.00/3.89  |          $i(all_146_3) & ( ~ (all_146_4 = 0) |  ~ (all_146_5 = 0) | (all_146_0
% 23.00/3.89  |              = 0 & all_146_2 = 0))
% 23.00/3.89  | 
% 23.00/3.89  | ALPHA: (163) implies:
% 23.00/3.89  |   (164)  aScalar0(all_43_1) = all_146_4
% 23.00/3.89  |   (165)  aScalar0(all_43_0) = all_146_5
% 23.00/3.89  | 
% 23.00/3.89  | DELTA: instantiating (121) with fresh symbols all_148_0, all_148_1, all_148_2,
% 23.00/3.89  |        all_148_3, all_148_4, all_148_5 gives:
% 23.00/3.89  |   (166)  sdtlseqdt0(sz0z00, all_148_1) = all_148_0 & sdtlseqdt0(sz0z00,
% 23.00/3.89  |            all_148_3) = all_148_2 & sdtasdt0(all_43_1, all_43_0) = all_148_1 &
% 23.00/3.89  |          sdtpldt0(all_43_1, all_43_0) = all_148_3 & aScalar0(all_43_0) =
% 23.00/3.89  |          all_148_4 & aScalar0(all_43_1) = all_148_5 & $i(all_148_1) &
% 23.00/3.89  |          $i(all_148_3) & ( ~ (all_148_4 = 0) |  ~ (all_148_5 = 0) | (all_148_0
% 23.00/3.89  |              = 0 & all_148_2 = 0))
% 23.00/3.89  | 
% 23.00/3.89  | ALPHA: (166) implies:
% 23.00/3.89  |   (167)  aScalar0(all_43_1) = all_148_5
% 23.00/3.89  |   (168)  aScalar0(all_43_0) = all_148_4
% 23.00/3.89  |   (169)   ~ (all_148_4 = 0) |  ~ (all_148_5 = 0) | (all_148_0 = 0 & all_148_2
% 23.00/3.89  |            = 0)
% 23.00/3.89  | 
% 23.00/3.89  | DELTA: instantiating (118) with fresh symbols all_150_0, all_150_1, all_150_2,
% 23.00/3.89  |        all_150_3, all_150_4, all_150_5 gives:
% 23.00/3.89  |   (170)  sdtlseqdt0(sz0z00, all_150_1) = all_150_0 & sdtlseqdt0(sz0z00,
% 23.00/3.89  |            all_150_3) = all_150_2 & sdtasdt0(all_43_0, all_43_0) = all_150_1 &
% 23.00/3.89  |          sdtpldt0(all_43_0, all_43_0) = all_150_3 & aScalar0(all_43_0) =
% 23.00/3.89  |          all_150_4 & aScalar0(all_43_0) = all_150_5 & $i(all_150_1) &
% 23.00/3.89  |          $i(all_150_3) & ( ~ (all_150_4 = 0) |  ~ (all_150_5 = 0) | (all_150_0
% 23.00/3.89  |              = 0 & all_150_2 = 0))
% 23.00/3.89  | 
% 23.00/3.89  | ALPHA: (170) implies:
% 23.00/3.89  |   (171)  aScalar0(all_43_0) = all_150_5
% 23.00/3.89  |   (172)  aScalar0(all_43_0) = all_150_4
% 23.00/3.89  |   (173)  sdtasdt0(all_43_0, all_43_0) = all_150_1
% 23.00/3.89  |   (174)   ~ (all_150_4 = 0) |  ~ (all_150_5 = 0) | (all_150_0 = 0 & all_150_2
% 23.00/3.89  |            = 0)
% 23.00/3.89  | 
% 23.00/3.89  | DELTA: instantiating (117) with fresh symbols all_152_0, all_152_1, all_152_2,
% 23.00/3.89  |        all_152_3, all_152_4, all_152_5 gives:
% 23.00/3.89  |   (175)  sdtlseqdt0(sz0z00, all_152_1) = all_152_0 & sdtlseqdt0(sz0z00,
% 23.00/3.89  |            all_152_3) = all_152_2 & sdtasdt0(all_43_1, all_43_1) = all_152_1 &
% 23.00/3.89  |          sdtpldt0(all_43_1, all_43_1) = all_152_3 & aScalar0(all_43_1) =
% 23.00/3.89  |          all_152_4 & aScalar0(all_43_1) = all_152_5 & $i(all_152_1) &
% 23.00/3.89  |          $i(all_152_3) & ( ~ (all_152_4 = 0) |  ~ (all_152_5 = 0) | (all_152_0
% 23.00/3.89  |              = 0 & all_152_2 = 0))
% 23.00/3.89  | 
% 23.00/3.89  | ALPHA: (175) implies:
% 23.00/3.89  |   (176)  aScalar0(all_43_1) = all_152_5
% 23.00/3.89  |   (177)  aScalar0(all_43_1) = all_152_4
% 23.00/3.89  |   (178)  sdtasdt0(all_43_1, all_43_1) = all_152_1
% 23.00/3.89  | 
% 23.00/3.89  | DELTA: instantiating (109) with fresh symbols all_160_0, all_160_1, all_160_2,
% 23.00/3.89  |        all_160_3, all_160_4, all_160_5, all_160_6, all_160_7, all_160_8 gives:
% 23.00/3.89  |   (179)  sdtasdt0(all_160_3, xP) = all_160_2 & sdtasdt0(xP, all_160_5) =
% 23.00/3.89  |          all_160_4 & sdtasdt0(xP, xP) = all_160_1 & sdtpldt0(all_37_0,
% 23.00/3.89  |            all_160_1) = all_160_0 & sdtpldt0(xP, xP) = all_160_3 &
% 23.00/3.89  |          sdtpldt0(xP, xP) = all_160_5 & aScalar0(xP) = all_160_6 &
% 23.00/3.89  |          aScalar0(xP) = all_160_7 & aScalar0(xP) = all_160_8 & $i(all_160_0) &
% 23.00/3.89  |          $i(all_160_1) & $i(all_160_2) & $i(all_160_3) & $i(all_160_4) &
% 23.00/3.89  |          $i(all_160_5) & ( ~ (all_160_6 = 0) |  ~ (all_160_7 = 0) |  ~
% 23.00/3.89  |            (all_160_8 = 0) | (all_160_0 = all_160_2 & all_160_4 = all_57_3))
% 23.00/3.89  | 
% 23.00/3.89  | ALPHA: (179) implies:
% 23.00/3.89  |   (180)  aScalar0(xP) = all_160_8
% 23.00/3.89  |   (181)  aScalar0(xP) = all_160_7
% 23.00/3.89  |   (182)  aScalar0(xP) = all_160_6
% 23.00/3.89  | 
% 23.00/3.89  | BETA: splitting (123) gives:
% 23.00/3.89  | 
% 23.00/3.89  | Case 1:
% 23.00/3.89  | | 
% 23.00/3.89  | |   (183)  all_49_0 = 0
% 23.00/3.89  | | 
% 23.00/3.89  | | REDUCE: (34), (183) imply:
% 23.00/3.89  | |   (184)  $false
% 23.00/3.89  | | 
% 23.00/3.89  | | CLOSE: (184) is inconsistent.
% 23.00/3.89  | | 
% 23.00/3.89  | Case 2:
% 23.00/3.89  | | 
% 23.00/3.89  | |   (185)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :  ? [v3: any] :  ? [v4:
% 23.00/3.89  | |            any] :  ? [v5: any] : (sdtlseqdt0(xP, xS) = v5 & sdtlseqdt0(xP,
% 23.00/3.89  | |              xR) = v4 & aScalar0(xS) = v3 & aScalar0(xP) = v2 & aScalar0(xP)
% 23.00/3.89  | |            = v0 & aScalar0(xR) = v1 & ( ~ (v5 = 0) |  ~ (v4 = 0) |  ~ (v3 =
% 23.00/3.89  | |                0) |  ~ (v2 = 0) |  ~ (v1 = 0) |  ~ (v0 = 0)))
% 23.00/3.90  | | 
% 23.00/3.90  | | DELTA: instantiating (185) with fresh symbols all_170_0, all_170_1,
% 23.00/3.90  | |        all_170_2, all_170_3, all_170_4, all_170_5 gives:
% 23.00/3.90  | |   (186)  sdtlseqdt0(xP, xS) = all_170_0 & sdtlseqdt0(xP, xR) = all_170_1 &
% 23.00/3.90  | |          aScalar0(xS) = all_170_2 & aScalar0(xP) = all_170_3 & aScalar0(xP)
% 23.00/3.90  | |          = all_170_5 & aScalar0(xR) = all_170_4 & ( ~ (all_170_0 = 0) |  ~
% 23.00/3.90  | |            (all_170_1 = 0) |  ~ (all_170_2 = 0) |  ~ (all_170_3 = 0) |  ~
% 23.00/3.90  | |            (all_170_4 = 0) |  ~ (all_170_5 = 0))
% 23.00/3.90  | | 
% 23.00/3.90  | | ALPHA: (186) implies:
% 23.00/3.90  | |   (187)  aScalar0(xR) = all_170_4
% 23.00/3.90  | |   (188)  aScalar0(xP) = all_170_5
% 23.00/3.90  | |   (189)  aScalar0(xP) = all_170_3
% 23.00/3.90  | |   (190)  aScalar0(xS) = all_170_2
% 23.00/3.90  | | 
% 23.00/3.90  | | GROUND_INST: instantiating (18) with 0, all_134_2, xR, simplifying with (4),
% 23.00/3.90  | |              (153) gives:
% 23.00/3.90  | |   (191)  all_134_2 = 0
% 23.00/3.90  | | 
% 23.00/3.90  | | GROUND_INST: instantiating (18) with all_132_2, all_134_2, xR, simplifying
% 23.00/3.90  | |              with (148), (153) gives:
% 23.00/3.90  | |   (192)  all_134_2 = all_132_2
% 23.00/3.90  | | 
% 23.00/3.90  | | GROUND_INST: instantiating (18) with all_134_1, all_170_4, xR, simplifying
% 23.00/3.90  | |              with (154), (187) gives:
% 23.00/3.90  | |   (193)  all_170_4 = all_134_1
% 23.00/3.90  | | 
% 23.00/3.90  | | GROUND_INST: instantiating (18) with all_134_2, all_170_4, xR, simplifying
% 23.00/3.90  | |              with (153), (187) gives:
% 23.00/3.90  | |   (194)  all_170_4 = all_134_2
% 23.00/3.90  | | 
% 23.00/3.90  | | GROUND_INST: instantiating (18) with all_94_1, all_170_4, xR, simplifying
% 23.00/3.90  | |              with (127), (187) gives:
% 23.00/3.90  | |   (195)  all_170_4 = all_94_1
% 23.00/3.90  | | 
% 23.00/3.90  | | GROUND_INST: instantiating (18) with all_126_1, all_140_2, xP, simplifying
% 23.00/3.90  | |              with (136), (161) gives:
% 23.00/3.90  | |   (196)  all_140_2 = all_126_1
% 23.00/3.90  | | 
% 23.00/3.90  | | GROUND_INST: instantiating (18) with all_160_8, all_160_6, xP, simplifying
% 23.00/3.90  | |              with (180), (182) gives:
% 23.00/3.90  | |   (197)  all_160_6 = all_160_8
% 23.00/3.90  | | 
% 23.00/3.90  | | GROUND_INST: instantiating (18) with all_140_2, all_160_6, xP, simplifying
% 23.00/3.90  | |              with (161), (182) gives:
% 23.00/3.90  | |   (198)  all_160_6 = all_140_2
% 23.00/3.90  | | 
% 23.00/3.90  | | GROUND_INST: instantiating (18) with all_126_2, all_160_6, xP, simplifying
% 23.00/3.90  | |              with (135), (182) gives:
% 23.00/3.90  | |   (199)  all_160_6 = all_126_2
% 23.00/3.90  | | 
% 23.00/3.90  | | GROUND_INST: instantiating (18) with all_140_1, all_170_5, xP, simplifying
% 23.00/3.90  | |              with (162), (188) gives:
% 23.00/3.90  | |   (200)  all_170_5 = all_140_1
% 23.00/3.90  | | 
% 23.00/3.90  | | GROUND_INST: instantiating (18) with 0, all_170_3, xP, simplifying with (5),
% 23.00/3.90  | |              (189) gives:
% 23.00/3.90  | |   (201)  all_170_3 = 0
% 23.00/3.90  | | 
% 23.00/3.90  | | GROUND_INST: instantiating (18) with all_170_5, all_170_3, xP, simplifying
% 23.00/3.90  | |              with (188), (189) gives:
% 23.00/3.90  | |   (202)  all_170_3 = all_170_5
% 23.00/3.90  | | 
% 23.00/3.90  | | GROUND_INST: instantiating (18) with all_160_7, all_170_3, xP, simplifying
% 23.00/3.90  | |              with (181), (189) gives:
% 23.00/3.90  | |   (203)  all_170_3 = all_160_7
% 23.00/3.90  | | 
% 23.00/3.90  | | GROUND_INST: instantiating (18) with all_126_1, all_170_3, xP, simplifying
% 23.00/3.90  | |              with (136), (189) gives:
% 23.00/3.90  | |   (204)  all_170_3 = all_126_1
% 23.00/3.90  | | 
% 23.00/3.90  | | GROUND_INST: instantiating (18) with all_128_1, all_132_1, xS, simplifying
% 23.00/3.90  | |              with (141), (149) gives:
% 23.00/3.90  | |   (205)  all_132_1 = all_128_1
% 23.00/3.90  | | 
% 23.00/3.90  | | GROUND_INST: instantiating (18) with all_106_1, all_132_1, xS, simplifying
% 23.00/3.90  | |              with (133), (149) gives:
% 23.00/3.90  | |   (206)  all_132_1 = all_106_1
% 23.00/3.90  | | 
% 23.00/3.90  | | GROUND_INST: instantiating (18) with 0, all_170_2, xS, simplifying with (6),
% 23.00/3.90  | |              (190) gives:
% 23.00/3.90  | |   (207)  all_170_2 = 0
% 23.00/3.90  | | 
% 23.00/3.90  | | GROUND_INST: instantiating (18) with all_128_1, all_170_2, xS, simplifying
% 23.00/3.90  | |              with (141), (190) gives:
% 23.00/3.90  | |   (208)  all_170_2 = all_128_1
% 23.00/3.90  | | 
% 23.00/3.90  | | GROUND_INST: instantiating (18) with all_128_2, all_170_2, xS, simplifying
% 23.00/3.90  | |              with (140), (190) gives:
% 23.00/3.90  | |   (209)  all_170_2 = all_128_2
% 23.00/3.90  | | 
% 23.00/3.90  | | GROUND_INST: instantiating (18) with all_138_1, all_146_4, all_43_1,
% 23.00/3.90  | |              simplifying with (157), (164) gives:
% 23.00/3.90  | |   (210)  all_146_4 = all_138_1
% 23.00/3.90  | | 
% 23.00/3.90  | | GROUND_INST: instantiating (18) with all_138_2, all_146_4, all_43_1,
% 23.00/3.90  | |              simplifying with (156), (164) gives:
% 23.00/3.90  | |   (211)  all_146_4 = all_138_2
% 23.00/3.90  | | 
% 23.00/3.90  | | GROUND_INST: instantiating (18) with all_146_4, all_148_5, all_43_1,
% 23.00/3.90  | |              simplifying with (164), (167) gives:
% 23.00/3.90  | |   (212)  all_148_5 = all_146_4
% 23.00/3.90  | | 
% 23.00/3.90  | | GROUND_INST: instantiating (18) with all_138_2, all_152_5, all_43_1,
% 23.00/3.90  | |              simplifying with (156), (176) gives:
% 23.00/3.90  | |   (213)  all_152_5 = all_138_2
% 23.00/3.90  | | 
% 23.00/3.90  | | GROUND_INST: instantiating (18) with all_132_0, all_152_5, all_43_1,
% 23.00/3.90  | |              simplifying with (150), (176) gives:
% 23.00/3.90  | |   (214)  all_152_5 = all_132_0
% 23.00/3.90  | | 
% 23.00/3.90  | | GROUND_INST: instantiating (18) with all_148_5, all_152_4, all_43_1,
% 23.00/3.90  | |              simplifying with (167), (177) gives:
% 23.00/3.90  | |   (215)  all_152_4 = all_148_5
% 23.00/3.90  | | 
% 23.00/3.90  | | GROUND_INST: instantiating (18) with all_102_1, all_152_4, all_43_1,
% 23.00/3.90  | |              simplifying with (131), (177) gives:
% 23.00/3.90  | |   (216)  all_152_4 = all_102_1
% 23.00/3.90  | | 
% 23.00/3.90  | | GROUND_INST: instantiating (18) with all_126_0, all_130_1, all_43_0,
% 23.00/3.90  | |              simplifying with (137), (144) gives:
% 23.00/3.90  | |   (217)  all_130_1 = all_126_0
% 23.00/3.90  | | 
% 23.00/3.90  | | GROUND_INST: instantiating (18) with all_130_1, all_146_5, all_43_0,
% 23.00/3.90  | |              simplifying with (144), (165) gives:
% 23.00/3.90  | |   (218)  all_146_5 = all_130_1
% 23.00/3.90  | | 
% 23.00/3.90  | | GROUND_INST: instantiating (18) with all_130_1, all_148_4, all_43_0,
% 23.00/3.90  | |              simplifying with (144), (168) gives:
% 23.00/3.90  | |   (219)  all_148_4 = all_130_1
% 23.00/3.90  | | 
% 23.00/3.90  | | GROUND_INST: instantiating (18) with all_148_4, all_150_5, all_43_0,
% 23.00/3.90  | |              simplifying with (168), (171) gives:
% 23.00/3.90  | |   (220)  all_150_5 = all_148_4
% 23.00/3.90  | | 
% 23.00/3.90  | | GROUND_INST: instantiating (18) with all_130_2, all_150_5, all_43_0,
% 23.00/3.90  | |              simplifying with (143), (171) gives:
% 23.00/3.90  | |   (221)  all_150_5 = all_130_2
% 23.00/3.90  | | 
% 23.00/3.90  | | GROUND_INST: instantiating (18) with all_146_5, all_150_4, all_43_0,
% 23.00/3.90  | |              simplifying with (165), (172) gives:
% 23.00/3.90  | |   (222)  all_150_4 = all_146_5
% 23.00/3.90  | | 
% 23.00/3.90  | | GROUND_INST: instantiating (18) with all_100_1, all_150_4, all_43_0,
% 23.00/3.90  | |              simplifying with (129), (172) gives:
% 23.00/3.90  | |   (223)  all_150_4 = all_100_1
% 23.00/3.90  | | 
% 23.00/3.90  | | GROUND_INST: instantiating (20) with all_53_0, all_152_1, all_43_1,
% 23.00/3.90  | |              all_43_1, simplifying with (95), (178) gives:
% 23.00/3.90  | |   (224)  all_152_1 = all_53_0
% 23.00/3.90  | | 
% 23.00/3.90  | | GROUND_INST: instantiating (20) with all_53_2, all_150_1, all_43_0,
% 23.00/3.90  | |              all_43_0, simplifying with (96), (173) gives:
% 23.00/3.90  | |   (225)  all_150_1 = all_53_2
% 23.00/3.90  | | 
% 23.00/3.90  | | COMBINE_EQS: (208), (209) imply:
% 23.00/3.90  | |   (226)  all_128_1 = all_128_2
% 23.00/3.90  | | 
% 23.00/3.90  | | SIMP: (226) implies:
% 23.00/3.90  | |   (227)  all_128_1 = all_128_2
% 23.00/3.90  | | 
% 23.00/3.90  | | COMBINE_EQS: (207), (209) imply:
% 23.00/3.90  | |   (228)  all_128_2 = 0
% 23.00/3.90  | | 
% 23.00/3.90  | | COMBINE_EQS: (202), (203) imply:
% 23.00/3.90  | |   (229)  all_170_5 = all_160_7
% 23.00/3.90  | | 
% 23.00/3.90  | | SIMP: (229) implies:
% 23.00/3.90  | |   (230)  all_170_5 = all_160_7
% 23.00/3.90  | | 
% 23.00/3.90  | | COMBINE_EQS: (203), (204) imply:
% 23.00/3.90  | |   (231)  all_160_7 = all_126_1
% 23.00/3.90  | | 
% 23.00/3.90  | | COMBINE_EQS: (201), (203) imply:
% 23.00/3.90  | |   (232)  all_160_7 = 0
% 23.00/3.90  | | 
% 23.00/3.90  | | COMBINE_EQS: (193), (194) imply:
% 23.00/3.90  | |   (233)  all_134_1 = all_134_2
% 23.00/3.90  | | 
% 23.00/3.90  | | COMBINE_EQS: (193), (195) imply:
% 23.00/3.90  | |   (234)  all_134_1 = all_94_1
% 23.00/3.90  | | 
% 23.00/3.90  | | COMBINE_EQS: (200), (230) imply:
% 23.00/3.90  | |   (235)  all_160_7 = all_140_1
% 23.00/3.90  | | 
% 23.00/3.90  | | SIMP: (235) implies:
% 23.00/3.90  | |   (236)  all_160_7 = all_140_1
% 23.00/3.90  | | 
% 23.00/3.90  | | COMBINE_EQS: (197), (199) imply:
% 23.00/3.90  | |   (237)  all_160_8 = all_126_2
% 23.00/3.90  | | 
% 23.00/3.91  | | COMBINE_EQS: (197), (198) imply:
% 23.00/3.91  | |   (238)  all_160_8 = all_140_2
% 23.00/3.91  | | 
% 23.00/3.91  | | COMBINE_EQS: (232), (236) imply:
% 23.00/3.91  | |   (239)  all_140_1 = 0
% 23.00/3.91  | | 
% 23.00/3.91  | | COMBINE_EQS: (231), (236) imply:
% 23.00/3.91  | |   (240)  all_140_1 = all_126_1
% 23.00/3.91  | | 
% 23.00/3.91  | | COMBINE_EQS: (237), (238) imply:
% 23.00/3.91  | |   (241)  all_140_2 = all_126_2
% 23.00/3.91  | | 
% 23.00/3.91  | | SIMP: (241) implies:
% 23.00/3.91  | |   (242)  all_140_2 = all_126_2
% 23.00/3.91  | | 
% 23.00/3.91  | | COMBINE_EQS: (215), (216) imply:
% 23.00/3.91  | |   (243)  all_148_5 = all_102_1
% 23.00/3.91  | | 
% 23.00/3.91  | | SIMP: (243) implies:
% 23.00/3.91  | |   (244)  all_148_5 = all_102_1
% 23.00/3.91  | | 
% 23.00/3.91  | | COMBINE_EQS: (213), (214) imply:
% 23.00/3.91  | |   (245)  all_138_2 = all_132_0
% 23.00/3.91  | | 
% 23.00/3.91  | | SIMP: (245) implies:
% 23.00/3.91  | |   (246)  all_138_2 = all_132_0
% 23.00/3.91  | | 
% 23.00/3.91  | | COMBINE_EQS: (222), (223) imply:
% 23.00/3.91  | |   (247)  all_146_5 = all_100_1
% 23.00/3.91  | | 
% 23.00/3.91  | | SIMP: (247) implies:
% 23.00/3.91  | |   (248)  all_146_5 = all_100_1
% 23.00/3.91  | | 
% 23.00/3.91  | | COMBINE_EQS: (220), (221) imply:
% 23.00/3.91  | |   (249)  all_148_4 = all_130_2
% 23.00/3.91  | | 
% 23.00/3.91  | | SIMP: (249) implies:
% 23.00/3.91  | |   (250)  all_148_4 = all_130_2
% 23.00/3.91  | | 
% 23.00/3.91  | | COMBINE_EQS: (219), (250) imply:
% 23.00/3.91  | |   (251)  all_130_1 = all_130_2
% 23.00/3.91  | | 
% 23.00/3.91  | | SIMP: (251) implies:
% 23.00/3.91  | |   (252)  all_130_1 = all_130_2
% 23.00/3.91  | | 
% 23.00/3.91  | | COMBINE_EQS: (212), (244) imply:
% 23.00/3.91  | |   (253)  all_146_4 = all_102_1
% 23.00/3.91  | | 
% 23.00/3.91  | | SIMP: (253) implies:
% 23.00/3.91  | |   (254)  all_146_4 = all_102_1
% 23.00/3.91  | | 
% 23.00/3.91  | | COMBINE_EQS: (210), (254) imply:
% 23.00/3.91  | |   (255)  all_138_1 = all_102_1
% 23.00/3.91  | | 
% 23.00/3.91  | | COMBINE_EQS: (210), (211) imply:
% 23.00/3.91  | |   (256)  all_138_1 = all_138_2
% 23.00/3.91  | | 
% 23.00/3.91  | | COMBINE_EQS: (218), (248) imply:
% 23.00/3.91  | |   (257)  all_130_1 = all_100_1
% 23.00/3.91  | | 
% 23.00/3.91  | | SIMP: (257) implies:
% 23.00/3.91  | |   (258)  all_130_1 = all_100_1
% 23.00/3.91  | | 
% 23.00/3.91  | | COMBINE_EQS: (239), (240) imply:
% 23.00/3.91  | |   (259)  all_126_1 = 0
% 23.00/3.91  | | 
% 23.00/3.91  | | SIMP: (259) implies:
% 23.00/3.91  | |   (260)  all_126_1 = 0
% 23.00/3.91  | | 
% 23.00/3.91  | | COMBINE_EQS: (196), (242) imply:
% 23.00/3.91  | |   (261)  all_126_1 = all_126_2
% 23.00/3.91  | | 
% 23.00/3.91  | | SIMP: (261) implies:
% 23.00/3.91  | |   (262)  all_126_1 = all_126_2
% 23.00/3.91  | | 
% 23.00/3.91  | | COMBINE_EQS: (255), (256) imply:
% 23.00/3.91  | |   (263)  all_138_2 = all_102_1
% 23.00/3.91  | | 
% 23.00/3.91  | | SIMP: (263) implies:
% 23.00/3.91  | |   (264)  all_138_2 = all_102_1
% 23.00/3.91  | | 
% 23.00/3.91  | | COMBINE_EQS: (246), (264) imply:
% 23.00/3.91  | |   (265)  all_132_0 = all_102_1
% 23.00/3.91  | | 
% 23.00/3.91  | | SIMP: (265) implies:
% 23.00/3.91  | |   (266)  all_132_0 = all_102_1
% 23.00/3.91  | | 
% 23.00/3.91  | | COMBINE_EQS: (233), (234) imply:
% 23.00/3.91  | |   (267)  all_134_2 = all_94_1
% 23.00/3.91  | | 
% 23.00/3.91  | | SIMP: (267) implies:
% 23.00/3.91  | |   (268)  all_134_2 = all_94_1
% 23.00/3.91  | | 
% 23.00/3.91  | | COMBINE_EQS: (191), (192) imply:
% 23.00/3.91  | |   (269)  all_132_2 = 0
% 23.00/3.91  | | 
% 23.00/3.91  | | COMBINE_EQS: (192), (268) imply:
% 23.00/3.91  | |   (270)  all_132_2 = all_94_1
% 23.00/3.91  | | 
% 23.00/3.91  | | COMBINE_EQS: (205), (206) imply:
% 23.00/3.91  | |   (271)  all_128_1 = all_106_1
% 23.00/3.91  | | 
% 23.00/3.91  | | SIMP: (271) implies:
% 23.00/3.91  | |   (272)  all_128_1 = all_106_1
% 23.00/3.91  | | 
% 23.00/3.91  | | COMBINE_EQS: (269), (270) imply:
% 23.00/3.91  | |   (273)  all_94_1 = 0
% 23.00/3.91  | | 
% 23.00/3.91  | | COMBINE_EQS: (217), (252) imply:
% 23.00/3.91  | |   (274)  all_130_2 = all_126_0
% 23.00/3.91  | | 
% 23.00/3.91  | | COMBINE_EQS: (252), (258) imply:
% 23.00/3.91  | |   (275)  all_130_2 = all_100_1
% 23.00/3.91  | | 
% 23.00/3.91  | | COMBINE_EQS: (274), (275) imply:
% 23.00/3.91  | |   (276)  all_126_0 = all_100_1
% 23.00/3.91  | | 
% 23.00/3.91  | | SIMP: (276) implies:
% 23.00/3.91  | |   (277)  all_126_0 = all_100_1
% 23.00/3.91  | | 
% 23.00/3.91  | | COMBINE_EQS: (227), (272) imply:
% 23.00/3.91  | |   (278)  all_128_2 = all_106_1
% 23.00/3.91  | | 
% 23.00/3.91  | | SIMP: (278) implies:
% 23.00/3.91  | |   (279)  all_128_2 = all_106_1
% 23.00/3.91  | | 
% 23.00/3.91  | | COMBINE_EQS: (228), (279) imply:
% 23.00/3.91  | |   (280)  all_106_1 = 0
% 23.00/3.91  | | 
% 23.00/3.91  | | COMBINE_EQS: (260), (262) imply:
% 23.00/3.91  | |   (281)  all_126_2 = 0
% 23.00/3.91  | | 
% 23.00/3.91  | | COMBINE_EQS: (206), (280) imply:
% 23.00/3.91  | |   (282)  all_132_1 = 0
% 23.00/3.91  | | 
% 23.00/3.91  | | COMBINE_EQS: (250), (275) imply:
% 23.00/3.91  | |   (283)  all_148_4 = all_100_1
% 23.00/3.91  | | 
% 23.00/3.91  | | COMBINE_EQS: (221), (275) imply:
% 23.00/3.91  | |   (284)  all_150_5 = all_100_1
% 23.00/3.91  | | 
% 23.00/3.91  | | BETA: splitting (151) gives:
% 23.00/3.91  | | 
% 23.00/3.91  | | Case 1:
% 23.00/3.91  | | | 
% 23.00/3.91  | | |   (285)   ~ (all_132_1 = 0)
% 23.00/3.91  | | | 
% 23.00/3.91  | | | REDUCE: (282), (285) imply:
% 23.00/3.91  | | |   (286)  $false
% 23.00/3.91  | | | 
% 23.00/3.91  | | | CLOSE: (286) is inconsistent.
% 23.00/3.91  | | | 
% 23.00/3.91  | | Case 2:
% 23.00/3.91  | | | 
% 23.00/3.91  | | |   (287)   ~ (all_132_2 = 0) | all_132_0 = 0
% 23.00/3.91  | | | 
% 23.00/3.91  | | | BETA: splitting (287) gives:
% 23.00/3.91  | | | 
% 23.00/3.91  | | | Case 1:
% 23.00/3.91  | | | | 
% 23.00/3.91  | | | |   (288)   ~ (all_132_2 = 0)
% 23.00/3.91  | | | | 
% 23.00/3.91  | | | | REDUCE: (269), (288) imply:
% 23.00/3.91  | | | |   (289)  $false
% 23.00/3.91  | | | | 
% 23.00/3.91  | | | | CLOSE: (289) is inconsistent.
% 23.00/3.91  | | | | 
% 23.00/3.91  | | | Case 2:
% 23.00/3.91  | | | | 
% 23.00/3.91  | | | |   (290)  all_132_0 = 0
% 23.00/3.91  | | | | 
% 23.00/3.91  | | | | COMBINE_EQS: (266), (290) imply:
% 23.00/3.91  | | | |   (291)  all_102_1 = 0
% 23.00/3.91  | | | | 
% 23.00/3.91  | | | | SIMP: (291) implies:
% 23.00/3.91  | | | |   (292)  all_102_1 = 0
% 23.00/3.91  | | | | 
% 23.00/3.91  | | | | COMBINE_EQS: (264), (292) imply:
% 23.00/3.91  | | | |   (293)  all_138_2 = 0
% 23.00/3.91  | | | | 
% 23.00/3.91  | | | | COMBINE_EQS: (255), (292) imply:
% 23.00/3.91  | | | |   (294)  all_138_1 = 0
% 23.00/3.91  | | | | 
% 23.00/3.91  | | | | COMBINE_EQS: (244), (292) imply:
% 23.00/3.91  | | | |   (295)  all_148_5 = 0
% 23.00/3.91  | | | | 
% 23.00/3.91  | | | | REDUCE: (131), (292) imply:
% 23.00/3.91  | | | |   (296)  aScalar0(all_43_1) = 0
% 23.00/3.91  | | | | 
% 23.00/3.91  | | | | BETA: splitting (138) gives:
% 23.00/3.91  | | | | 
% 23.00/3.91  | | | | Case 1:
% 23.00/3.91  | | | | | 
% 23.00/3.91  | | | | |   (297)   ~ (all_126_1 = 0)
% 23.00/3.91  | | | | | 
% 23.00/3.91  | | | | | REDUCE: (260), (297) imply:
% 23.00/3.91  | | | | |   (298)  $false
% 23.00/3.91  | | | | | 
% 23.00/3.91  | | | | | CLOSE: (298) is inconsistent.
% 23.00/3.91  | | | | | 
% 23.00/3.91  | | | | Case 2:
% 23.00/3.91  | | | | | 
% 23.00/3.91  | | | | |   (299)   ~ (all_126_2 = 0) | all_126_0 = 0
% 23.00/3.91  | | | | | 
% 23.00/3.91  | | | | | BETA: splitting (159) gives:
% 23.00/3.91  | | | | | 
% 23.00/3.91  | | | | | Case 1:
% 23.00/3.91  | | | | | | 
% 23.00/3.91  | | | | | |   (300)   ~ (all_138_1 = 0)
% 23.00/3.91  | | | | | | 
% 23.00/3.91  | | | | | | REDUCE: (294), (300) imply:
% 23.00/3.91  | | | | | |   (301)  $false
% 23.00/3.91  | | | | | | 
% 23.00/3.91  | | | | | | CLOSE: (301) is inconsistent.
% 23.00/3.91  | | | | | | 
% 23.00/3.91  | | | | | Case 2:
% 23.00/3.91  | | | | | | 
% 23.00/3.91  | | | | | |   (302)   ~ (all_138_2 = 0) | all_138_0 = 0
% 23.00/3.91  | | | | | | 
% 23.00/3.91  | | | | | | BETA: splitting (302) gives:
% 23.00/3.91  | | | | | | 
% 23.00/3.91  | | | | | | Case 1:
% 23.00/3.91  | | | | | | | 
% 23.00/3.91  | | | | | | |   (303)   ~ (all_138_2 = 0)
% 23.00/3.91  | | | | | | | 
% 23.00/3.91  | | | | | | | REDUCE: (293), (303) imply:
% 23.00/3.91  | | | | | | |   (304)  $false
% 23.00/3.91  | | | | | | | 
% 23.00/3.91  | | | | | | | CLOSE: (304) is inconsistent.
% 23.00/3.91  | | | | | | | 
% 23.00/3.91  | | | | | | Case 2:
% 23.00/3.91  | | | | | | | 
% 23.00/3.91  | | | | | | |   (305)  all_138_0 = 0
% 23.00/3.91  | | | | | | | 
% 23.00/3.91  | | | | | | | REDUCE: (158), (305) imply:
% 23.00/3.91  | | | | | | |   (306)  aScalar0(all_53_0) = 0
% 23.00/3.91  | | | | | | | 
% 23.00/3.91  | | | | | | | BETA: splitting (299) gives:
% 23.00/3.91  | | | | | | | 
% 23.00/3.91  | | | | | | | Case 1:
% 23.00/3.91  | | | | | | | | 
% 23.00/3.91  | | | | | | | |   (307)   ~ (all_126_2 = 0)
% 23.00/3.91  | | | | | | | | 
% 23.00/3.91  | | | | | | | | REDUCE: (281), (307) imply:
% 23.00/3.91  | | | | | | | |   (308)  $false
% 23.00/3.91  | | | | | | | | 
% 23.00/3.91  | | | | | | | | CLOSE: (308) is inconsistent.
% 23.00/3.91  | | | | | | | | 
% 23.00/3.91  | | | | | | | Case 2:
% 23.00/3.91  | | | | | | | | 
% 23.00/3.91  | | | | | | | |   (309)  all_126_0 = 0
% 23.00/3.91  | | | | | | | | 
% 23.00/3.91  | | | | | | | | COMBINE_EQS: (277), (309) imply:
% 23.00/3.91  | | | | | | | |   (310)  all_100_1 = 0
% 23.00/3.91  | | | | | | | | 
% 23.00/3.91  | | | | | | | | SIMP: (310) implies:
% 23.00/3.91  | | | | | | | |   (311)  all_100_1 = 0
% 23.00/3.91  | | | | | | | | 
% 23.00/3.91  | | | | | | | | COMBINE_EQS: (275), (311) imply:
% 23.00/3.91  | | | | | | | |   (312)  all_130_2 = 0
% 23.00/3.91  | | | | | | | | 
% 23.00/3.91  | | | | | | | | COMBINE_EQS: (258), (311) imply:
% 23.00/3.91  | | | | | | | |   (313)  all_130_1 = 0
% 23.00/3.91  | | | | | | | | 
% 23.00/3.91  | | | | | | | | COMBINE_EQS: (283), (311) imply:
% 23.00/3.91  | | | | | | | |   (314)  all_148_4 = 0
% 23.00/3.91  | | | | | | | | 
% 23.00/3.91  | | | | | | | | COMBINE_EQS: (284), (311) imply:
% 23.00/3.91  | | | | | | | |   (315)  all_150_5 = 0
% 23.00/3.91  | | | | | | | | 
% 23.00/3.91  | | | | | | | | COMBINE_EQS: (223), (311) imply:
% 23.00/3.91  | | | | | | | |   (316)  all_150_4 = 0
% 23.00/3.91  | | | | | | | | 
% 23.00/3.91  | | | | | | | | REDUCE: (129), (311) imply:
% 23.00/3.91  | | | | | | | |   (317)  aScalar0(all_43_0) = 0
% 23.00/3.91  | | | | | | | | 
% 23.00/3.91  | | | | | | | | BETA: splitting (119) gives:
% 23.00/3.91  | | | | | | | | 
% 23.00/3.91  | | | | | | | | Case 1:
% 23.00/3.91  | | | | | | | | | 
% 23.00/3.91  | | | | | | | | |   (318)  all_43_0 = all_43_1
% 23.00/3.91  | | | | | | | | | 
% 23.00/3.91  | | | | | | | | | REDUCE: (89), (318) imply:
% 23.00/3.91  | | | | | | | | |   (319)  $false
% 23.00/3.91  | | | | | | | | | 
% 23.00/3.91  | | | | | | | | | CLOSE: (319) is inconsistent.
% 23.00/3.91  | | | | | | | | | 
% 23.00/3.91  | | | | | | | | Case 2:
% 23.00/3.91  | | | | | | | | | 
% 23.00/3.91  | | | | | | | | |   (320)   ? [v0: any] :  ? [v1: any] :  ? [v2: $i] :  ? [v3:
% 23.00/3.91  | | | | | | | | |            $i] : (sdtasdt0(all_43_0, all_43_0) = v3 &
% 23.00/3.91  | | | | | | | | |            sdtasdt0(all_43_1, all_43_1) = v2 &
% 23.00/3.91  | | | | | | | | |            aScalar0(all_43_0) = v1 & aScalar0(all_43_1) = v0 &
% 23.00/3.91  | | | | | | | | |            $i(v3) & $i(v2) & ( ~ (v3 = v2) |  ~ (v1 = 0) |  ~
% 23.00/3.91  | | | | | | | | |              (v0 = 0)))
% 23.00/3.91  | | | | | | | | | 
% 23.00/3.92  | | | | | | | | | DELTA: instantiating (320) with fresh symbols all_362_0,
% 23.00/3.92  | | | | | | | | |        all_362_1, all_362_2, all_362_3 gives:
% 23.00/3.92  | | | | | | | | |   (321)  sdtasdt0(all_43_0, all_43_0) = all_362_0 &
% 23.00/3.92  | | | | | | | | |          sdtasdt0(all_43_1, all_43_1) = all_362_1 &
% 23.00/3.92  | | | | | | | | |          aScalar0(all_43_0) = all_362_2 & aScalar0(all_43_1) =
% 23.00/3.92  | | | | | | | | |          all_362_3 & $i(all_362_0) & $i(all_362_1) & ( ~
% 23.00/3.92  | | | | | | | | |            (all_362_0 = all_362_1) |  ~ (all_362_2 = 0) |  ~
% 23.00/3.92  | | | | | | | | |            (all_362_3 = 0))
% 23.00/3.92  | | | | | | | | | 
% 23.00/3.92  | | | | | | | | | ALPHA: (321) implies:
% 23.00/3.92  | | | | | | | | |   (322)  aScalar0(all_43_1) = all_362_3
% 23.00/3.92  | | | | | | | | |   (323)  aScalar0(all_43_0) = all_362_2
% 23.00/3.92  | | | | | | | | |   (324)  sdtasdt0(all_43_1, all_43_1) = all_362_1
% 23.00/3.92  | | | | | | | | |   (325)  sdtasdt0(all_43_0, all_43_0) = all_362_0
% 23.00/3.92  | | | | | | | | |   (326)   ~ (all_362_0 = all_362_1) |  ~ (all_362_2 = 0) |  ~
% 23.00/3.92  | | | | | | | | |          (all_362_3 = 0)
% 23.00/3.92  | | | | | | | | | 
% 23.00/3.92  | | | | | | | | | BETA: splitting (120) gives:
% 23.00/3.92  | | | | | | | | | 
% 23.00/3.92  | | | | | | | | | Case 1:
% 23.00/3.92  | | | | | | | | | | 
% 23.00/3.92  | | | | | | | | | |   (327)  all_43_0 = all_43_1
% 23.00/3.92  | | | | | | | | | | 
% 23.00/3.92  | | | | | | | | | | REDUCE: (89), (327) imply:
% 23.00/3.92  | | | | | | | | | |   (328)  $false
% 23.00/3.92  | | | | | | | | | | 
% 23.00/3.92  | | | | | | | | | | CLOSE: (328) is inconsistent.
% 23.00/3.92  | | | | | | | | | | 
% 23.00/3.92  | | | | | | | | | Case 2:
% 23.00/3.92  | | | | | | | | | | 
% 23.00/3.92  | | | | | | | | | |   (329)   ? [v0: any] :  ? [v1: any] :  ? [v2: $i] :  ? [v3:
% 23.00/3.92  | | | | | | | | | |            $i] : (sdtasdt0(all_43_0, all_43_0) = v2 &
% 23.00/3.92  | | | | | | | | | |            sdtasdt0(all_43_1, all_43_1) = v3 &
% 23.00/3.92  | | | | | | | | | |            aScalar0(all_43_0) = v0 & aScalar0(all_43_1) = v1
% 23.00/3.92  | | | | | | | | | |            & $i(v3) & $i(v2) & ( ~ (v3 = v2) |  ~ (v1 = 0) |
% 23.00/3.92  | | | | | | | | | |               ~ (v0 = 0)))
% 23.00/3.92  | | | | | | | | | | 
% 23.00/3.92  | | | | | | | | | | DELTA: instantiating (329) with fresh symbols all_372_0,
% 23.00/3.92  | | | | | | | | | |        all_372_1, all_372_2, all_372_3 gives:
% 23.00/3.92  | | | | | | | | | |   (330)  sdtasdt0(all_43_0, all_43_0) = all_372_1 &
% 23.00/3.92  | | | | | | | | | |          sdtasdt0(all_43_1, all_43_1) = all_372_0 &
% 23.00/3.92  | | | | | | | | | |          aScalar0(all_43_0) = all_372_3 & aScalar0(all_43_1)
% 23.00/3.92  | | | | | | | | | |          = all_372_2 & $i(all_372_0) & $i(all_372_1) & ( ~
% 23.00/3.92  | | | | | | | | | |            (all_372_0 = all_372_1) |  ~ (all_372_2 = 0) |  ~
% 23.00/3.92  | | | | | | | | | |            (all_372_3 = 0))
% 23.00/3.92  | | | | | | | | | | 
% 23.00/3.92  | | | | | | | | | | ALPHA: (330) implies:
% 23.00/3.92  | | | | | | | | | |   (331)  aScalar0(all_43_1) = all_372_2
% 23.00/3.92  | | | | | | | | | |   (332)  aScalar0(all_43_0) = all_372_3
% 23.00/3.92  | | | | | | | | | |   (333)  sdtasdt0(all_43_1, all_43_1) = all_372_0
% 23.00/3.92  | | | | | | | | | |   (334)  sdtasdt0(all_43_0, all_43_0) = all_372_1
% 23.00/3.92  | | | | | | | | | | 
% 23.00/3.92  | | | | | | | | | | BETA: splitting (146) gives:
% 23.00/3.92  | | | | | | | | | | 
% 23.00/3.92  | | | | | | | | | | Case 1:
% 23.00/3.92  | | | | | | | | | | | 
% 23.00/3.92  | | | | | | | | | | |   (335)   ~ (all_130_1 = 0)
% 23.00/3.92  | | | | | | | | | | | 
% 23.00/3.92  | | | | | | | | | | | REDUCE: (313), (335) imply:
% 23.00/3.92  | | | | | | | | | | |   (336)  $false
% 23.00/3.92  | | | | | | | | | | | 
% 23.00/3.92  | | | | | | | | | | | CLOSE: (336) is inconsistent.
% 23.00/3.92  | | | | | | | | | | | 
% 23.00/3.92  | | | | | | | | | | Case 2:
% 23.00/3.92  | | | | | | | | | | | 
% 23.00/3.92  | | | | | | | | | | |   (337)   ~ (all_130_2 = 0) | all_130_0 = 0
% 23.00/3.92  | | | | | | | | | | | 
% 23.00/3.92  | | | | | | | | | | | BETA: splitting (337) gives:
% 23.00/3.92  | | | | | | | | | | | 
% 23.00/3.92  | | | | | | | | | | | Case 1:
% 23.00/3.92  | | | | | | | | | | | | 
% 23.00/3.92  | | | | | | | | | | | |   (338)   ~ (all_130_2 = 0)
% 23.00/3.92  | | | | | | | | | | | | 
% 23.00/3.92  | | | | | | | | | | | | REDUCE: (312), (338) imply:
% 23.00/3.92  | | | | | | | | | | | |   (339)  $false
% 23.00/3.92  | | | | | | | | | | | | 
% 23.00/3.92  | | | | | | | | | | | | CLOSE: (339) is inconsistent.
% 23.00/3.92  | | | | | | | | | | | | 
% 23.00/3.92  | | | | | | | | | | | Case 2:
% 23.00/3.92  | | | | | | | | | | | | 
% 23.00/3.92  | | | | | | | | | | | |   (340)  all_130_0 = 0
% 23.00/3.92  | | | | | | | | | | | | 
% 23.00/3.92  | | | | | | | | | | | | REDUCE: (145), (340) imply:
% 23.00/3.92  | | | | | | | | | | | |   (341)  aScalar0(all_53_2) = 0
% 23.00/3.92  | | | | | | | | | | | | 
% 23.00/3.92  | | | | | | | | | | | | BETA: splitting (125) gives:
% 23.00/3.92  | | | | | | | | | | | | 
% 23.00/3.92  | | | | | | | | | | | | Case 1:
% 23.00/3.92  | | | | | | | | | | | | | 
% 23.00/3.92  | | | | | | | | | | | | |   (342)  all_53_0 = all_53_2
% 23.00/3.92  | | | | | | | | | | | | | 
% 23.00/3.92  | | | | | | | | | | | | | REDUCE: (95), (342) imply:
% 23.00/3.92  | | | | | | | | | | | | |   (343)  sdtasdt0(all_43_1, all_43_1) = all_53_2
% 23.00/3.92  | | | | | | | | | | | | | 
% 23.00/3.92  | | | | | | | | | | | | | BETA: splitting (169) gives:
% 23.00/3.92  | | | | | | | | | | | | | 
% 23.00/3.92  | | | | | | | | | | | | | Case 1:
% 23.00/3.92  | | | | | | | | | | | | | | 
% 23.00/3.92  | | | | | | | | | | | | | |   (344)   ~ (all_148_4 = 0)
% 23.00/3.92  | | | | | | | | | | | | | | 
% 23.00/3.92  | | | | | | | | | | | | | | REDUCE: (314), (344) imply:
% 23.00/3.92  | | | | | | | | | | | | | |   (345)  $false
% 23.00/3.92  | | | | | | | | | | | | | | 
% 23.00/3.92  | | | | | | | | | | | | | | CLOSE: (345) is inconsistent.
% 23.00/3.92  | | | | | | | | | | | | | | 
% 23.00/3.92  | | | | | | | | | | | | | Case 2:
% 23.00/3.92  | | | | | | | | | | | | | | 
% 23.00/3.92  | | | | | | | | | | | | | |   (346)   ~ (all_148_5 = 0) | (all_148_0 = 0 & all_148_2 =
% 23.00/3.92  | | | | | | | | | | | | | |            0)
% 23.00/3.92  | | | | | | | | | | | | | | 
% 23.00/3.92  | | | | | | | | | | | | | | BETA: splitting (346) gives:
% 23.00/3.92  | | | | | | | | | | | | | | 
% 23.00/3.92  | | | | | | | | | | | | | | Case 1:
% 23.00/3.92  | | | | | | | | | | | | | | | 
% 23.00/3.92  | | | | | | | | | | | | | | |   (347)   ~ (all_148_5 = 0)
% 23.00/3.92  | | | | | | | | | | | | | | | 
% 23.00/3.92  | | | | | | | | | | | | | | | REDUCE: (295), (347) imply:
% 23.00/3.92  | | | | | | | | | | | | | | |   (348)  $false
% 23.00/3.92  | | | | | | | | | | | | | | | 
% 23.00/3.92  | | | | | | | | | | | | | | | CLOSE: (348) is inconsistent.
% 23.00/3.92  | | | | | | | | | | | | | | | 
% 23.00/3.92  | | | | | | | | | | | | | | Case 2:
% 23.00/3.92  | | | | | | | | | | | | | | | 
% 23.00/3.92  | | | | | | | | | | | | | | | 
% 23.00/3.92  | | | | | | | | | | | | | | | GROUND_INST: instantiating (18) with all_362_3, all_372_2,
% 23.00/3.92  | | | | | | | | | | | | | | |              all_43_1, simplifying with (322), (331) gives:
% 23.00/3.92  | | | | | | | | | | | | | | |   (349)  all_372_2 = all_362_3
% 23.00/3.92  | | | | | | | | | | | | | | | 
% 23.00/3.92  | | | | | | | | | | | | | | | GROUND_INST: instantiating (18) with 0, all_372_2, all_43_1,
% 23.00/3.92  | | | | | | | | | | | | | | |              simplifying with (296), (331) gives:
% 23.00/3.92  | | | | | | | | | | | | | | |   (350)  all_372_2 = 0
% 23.00/3.92  | | | | | | | | | | | | | | | 
% 23.00/3.92  | | | | | | | | | | | | | | | GROUND_INST: instantiating (18) with all_362_2, all_372_3,
% 23.00/3.92  | | | | | | | | | | | | | | |              all_43_0, simplifying with (323), (332) gives:
% 23.00/3.92  | | | | | | | | | | | | | | |   (351)  all_372_3 = all_362_2
% 23.00/3.92  | | | | | | | | | | | | | | | 
% 23.00/3.92  | | | | | | | | | | | | | | | GROUND_INST: instantiating (18) with 0, all_372_3, all_43_0,
% 23.00/3.92  | | | | | | | | | | | | | | |              simplifying with (317), (332) gives:
% 23.00/3.92  | | | | | | | | | | | | | | |   (352)  all_372_3 = 0
% 23.00/3.92  | | | | | | | | | | | | | | | 
% 23.00/3.92  | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with all_362_1, all_372_0,
% 23.00/3.92  | | | | | | | | | | | | | | |              all_43_1, all_43_1, simplifying with (324), (333)
% 23.00/3.92  | | | | | | | | | | | | | | |              gives:
% 23.00/3.92  | | | | | | | | | | | | | | |   (353)  all_372_0 = all_362_1
% 23.00/3.92  | | | | | | | | | | | | | | | 
% 23.00/3.92  | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with all_53_2, all_372_0,
% 23.00/3.92  | | | | | | | | | | | | | | |              all_43_1, all_43_1, simplifying with (333), (343)
% 23.00/3.92  | | | | | | | | | | | | | | |              gives:
% 23.00/3.92  | | | | | | | | | | | | | | |   (354)  all_372_0 = all_53_2
% 23.00/3.92  | | | | | | | | | | | | | | | 
% 23.00/3.92  | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with all_53_2, all_372_1,
% 23.00/3.92  | | | | | | | | | | | | | | |              all_43_0, all_43_0, simplifying with (96), (334)
% 23.00/3.92  | | | | | | | | | | | | | | |              gives:
% 23.00/3.92  | | | | | | | | | | | | | | |   (355)  all_372_1 = all_53_2
% 23.00/3.92  | | | | | | | | | | | | | | | 
% 23.00/3.92  | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with all_362_0, all_372_1,
% 23.00/3.92  | | | | | | | | | | | | | | |              all_43_0, all_43_0, simplifying with (325), (334)
% 23.00/3.92  | | | | | | | | | | | | | | |              gives:
% 23.00/3.92  | | | | | | | | | | | | | | |   (356)  all_372_1 = all_362_0
% 23.00/3.92  | | | | | | | | | | | | | | | 
% 23.00/3.92  | | | | | | | | | | | | | | | COMBINE_EQS: (353), (354) imply:
% 23.00/3.92  | | | | | | | | | | | | | | |   (357)  all_362_1 = all_53_2
% 23.00/3.92  | | | | | | | | | | | | | | | 
% 23.00/3.92  | | | | | | | | | | | | | | | SIMP: (357) implies:
% 23.00/3.92  | | | | | | | | | | | | | | |   (358)  all_362_1 = all_53_2
% 23.00/3.92  | | | | | | | | | | | | | | | 
% 23.00/3.92  | | | | | | | | | | | | | | | COMBINE_EQS: (355), (356) imply:
% 23.00/3.92  | | | | | | | | | | | | | | |   (359)  all_362_0 = all_53_2
% 23.00/3.92  | | | | | | | | | | | | | | | 
% 23.00/3.92  | | | | | | | | | | | | | | | COMBINE_EQS: (349), (350) imply:
% 23.00/3.92  | | | | | | | | | | | | | | |   (360)  all_362_3 = 0
% 23.00/3.92  | | | | | | | | | | | | | | | 
% 23.00/3.92  | | | | | | | | | | | | | | | SIMP: (360) implies:
% 23.00/3.92  | | | | | | | | | | | | | | |   (361)  all_362_3 = 0
% 23.00/3.92  | | | | | | | | | | | | | | | 
% 23.00/3.92  | | | | | | | | | | | | | | | COMBINE_EQS: (351), (352) imply:
% 23.00/3.92  | | | | | | | | | | | | | | |   (362)  all_362_2 = 0
% 23.00/3.92  | | | | | | | | | | | | | | | 
% 23.00/3.92  | | | | | | | | | | | | | | | SIMP: (362) implies:
% 23.00/3.92  | | | | | | | | | | | | | | |   (363)  all_362_2 = 0
% 23.00/3.92  | | | | | | | | | | | | | | | 
% 23.00/3.92  | | | | | | | | | | | | | | | BETA: splitting (326) gives:
% 23.00/3.92  | | | | | | | | | | | | | | | 
% 23.00/3.92  | | | | | | | | | | | | | | | Case 1:
% 23.00/3.92  | | | | | | | | | | | | | | | | 
% 23.00/3.92  | | | | | | | | | | | | | | | |   (364)   ~ (all_362_2 = 0)
% 23.00/3.92  | | | | | | | | | | | | | | | | 
% 23.00/3.92  | | | | | | | | | | | | | | | | REDUCE: (363), (364) imply:
% 23.00/3.92  | | | | | | | | | | | | | | | |   (365)  $false
% 23.00/3.92  | | | | | | | | | | | | | | | | 
% 23.00/3.92  | | | | | | | | | | | | | | | | CLOSE: (365) is inconsistent.
% 23.00/3.92  | | | | | | | | | | | | | | | | 
% 23.00/3.92  | | | | | | | | | | | | | | | Case 2:
% 23.00/3.92  | | | | | | | | | | | | | | | | 
% 23.00/3.92  | | | | | | | | | | | | | | | |   (366)   ~ (all_362_0 = all_362_1) |  ~ (all_362_3 = 0)
% 23.00/3.92  | | | | | | | | | | | | | | | | 
% 23.00/3.92  | | | | | | | | | | | | | | | | BETA: splitting (366) gives:
% 23.00/3.92  | | | | | | | | | | | | | | | | 
% 23.00/3.92  | | | | | | | | | | | | | | | | Case 1:
% 23.00/3.92  | | | | | | | | | | | | | | | | | 
% 23.00/3.92  | | | | | | | | | | | | | | | | |   (367)   ~ (all_362_3 = 0)
% 23.00/3.92  | | | | | | | | | | | | | | | | | 
% 23.00/3.92  | | | | | | | | | | | | | | | | | REDUCE: (361), (367) imply:
% 23.00/3.92  | | | | | | | | | | | | | | | | |   (368)  $false
% 23.00/3.92  | | | | | | | | | | | | | | | | | 
% 23.00/3.92  | | | | | | | | | | | | | | | | | CLOSE: (368) is inconsistent.
% 23.00/3.92  | | | | | | | | | | | | | | | | | 
% 23.00/3.92  | | | | | | | | | | | | | | | | Case 2:
% 23.00/3.92  | | | | | | | | | | | | | | | | | 
% 23.00/3.92  | | | | | | | | | | | | | | | | |   (369)   ~ (all_362_0 = all_362_1)
% 23.00/3.92  | | | | | | | | | | | | | | | | | 
% 23.00/3.92  | | | | | | | | | | | | | | | | | REDUCE: (358), (359), (369) imply:
% 23.00/3.92  | | | | | | | | | | | | | | | | |   (370)  $false
% 23.00/3.92  | | | | | | | | | | | | | | | | | 
% 23.00/3.92  | | | | | | | | | | | | | | | | | CLOSE: (370) is inconsistent.
% 23.00/3.92  | | | | | | | | | | | | | | | | | 
% 23.00/3.92  | | | | | | | | | | | | | | | | End of split
% 23.00/3.92  | | | | | | | | | | | | | | | | 
% 23.00/3.92  | | | | | | | | | | | | | | | End of split
% 23.00/3.92  | | | | | | | | | | | | | | | 
% 23.00/3.92  | | | | | | | | | | | | | | End of split
% 23.00/3.92  | | | | | | | | | | | | | | 
% 23.00/3.92  | | | | | | | | | | | | | End of split
% 23.00/3.92  | | | | | | | | | | | | | 
% 23.00/3.92  | | | | | | | | | | | | Case 2:
% 23.00/3.92  | | | | | | | | | | | | | 
% 23.00/3.92  | | | | | | | | | | | | |   (371)   ~ (all_53_0 = all_53_2)
% 23.00/3.92  | | | | | | | | | | | | | 
% 23.00/3.92  | | | | | | | | | | | | | BETA: splitting (124) gives:
% 23.00/3.92  | | | | | | | | | | | | | 
% 23.00/3.92  | | | | | | | | | | | | | Case 1:
% 23.00/3.92  | | | | | | | | | | | | | | 
% 23.00/3.92  | | | | | | | | | | | | | |   (372)  all_53_0 = all_53_2
% 23.00/3.92  | | | | | | | | | | | | | | 
% 23.24/3.92  | | | | | | | | | | | | | | REDUCE: (371), (372) imply:
% 23.24/3.92  | | | | | | | | | | | | | |   (373)  $false
% 23.24/3.92  | | | | | | | | | | | | | | 
% 23.24/3.92  | | | | | | | | | | | | | | CLOSE: (373) is inconsistent.
% 23.24/3.92  | | | | | | | | | | | | | | 
% 23.24/3.92  | | | | | | | | | | | | | Case 2:
% 23.24/3.92  | | | | | | | | | | | | | | 
% 23.24/3.92  | | | | | | | | | | | | | |   (374)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :
% 23.24/3.92  | | | | | | | | | | | | | |          (sdtlseqdt0(all_53_0, all_53_2) = v2 &
% 23.24/3.92  | | | | | | | | | | | | | |            aScalar0(all_53_0) = v1 & aScalar0(all_53_2) =
% 23.24/3.92  | | | | | | | | | | | | | |            v0 & ( ~ (v2 = 0) |  ~ (v1 = 0) |  ~ (v0 = 0)))
% 23.24/3.92  | | | | | | | | | | | | | | 
% 23.24/3.92  | | | | | | | | | | | | | | DELTA: instantiating (374) with fresh symbols all_400_0,
% 23.24/3.92  | | | | | | | | | | | | | |        all_400_1, all_400_2 gives:
% 23.24/3.92  | | | | | | | | | | | | | |   (375)  sdtlseqdt0(all_53_0, all_53_2) = all_400_0 &
% 23.24/3.92  | | | | | | | | | | | | | |          aScalar0(all_53_0) = all_400_1 &
% 23.24/3.92  | | | | | | | | | | | | | |          aScalar0(all_53_2) = all_400_2 & ( ~ (all_400_0 =
% 23.24/3.92  | | | | | | | | | | | | | |              0) |  ~ (all_400_1 = 0) |  ~ (all_400_2 = 0))
% 23.24/3.92  | | | | | | | | | | | | | | 
% 23.24/3.92  | | | | | | | | | | | | | | ALPHA: (375) implies:
% 23.24/3.92  | | | | | | | | | | | | | |   (376)  aScalar0(all_53_2) = all_400_2
% 23.24/3.92  | | | | | | | | | | | | | |   (377)  aScalar0(all_53_0) = all_400_1
% 23.24/3.92  | | | | | | | | | | | | | |   (378)  sdtlseqdt0(all_53_0, all_53_2) = all_400_0
% 23.24/3.92  | | | | | | | | | | | | | |   (379)   ~ (all_400_0 = 0) |  ~ (all_400_1 = 0) |  ~
% 23.24/3.92  | | | | | | | | | | | | | |          (all_400_2 = 0)
% 23.24/3.92  | | | | | | | | | | | | | | 
% 23.24/3.92  | | | | | | | | | | | | | | BETA: splitting (174) gives:
% 23.24/3.92  | | | | | | | | | | | | | | 
% 23.24/3.92  | | | | | | | | | | | | | | Case 1:
% 23.24/3.92  | | | | | | | | | | | | | | | 
% 23.24/3.92  | | | | | | | | | | | | | | |   (380)   ~ (all_150_4 = 0)
% 23.24/3.92  | | | | | | | | | | | | | | | 
% 23.24/3.92  | | | | | | | | | | | | | | | REDUCE: (316), (380) imply:
% 23.24/3.92  | | | | | | | | | | | | | | |   (381)  $false
% 23.24/3.92  | | | | | | | | | | | | | | | 
% 23.24/3.92  | | | | | | | | | | | | | | | CLOSE: (381) is inconsistent.
% 23.24/3.92  | | | | | | | | | | | | | | | 
% 23.24/3.92  | | | | | | | | | | | | | | Case 2:
% 23.24/3.92  | | | | | | | | | | | | | | | 
% 23.24/3.92  | | | | | | | | | | | | | | |   (382)   ~ (all_150_5 = 0) | (all_150_0 = 0 & all_150_2 =
% 23.24/3.92  | | | | | | | | | | | | | | |            0)
% 23.24/3.92  | | | | | | | | | | | | | | | 
% 23.24/3.92  | | | | | | | | | | | | | | | BETA: splitting (382) gives:
% 23.24/3.92  | | | | | | | | | | | | | | | 
% 23.24/3.92  | | | | | | | | | | | | | | | Case 1:
% 23.24/3.92  | | | | | | | | | | | | | | | | 
% 23.24/3.92  | | | | | | | | | | | | | | | |   (383)   ~ (all_150_5 = 0)
% 23.24/3.92  | | | | | | | | | | | | | | | | 
% 23.24/3.92  | | | | | | | | | | | | | | | | REDUCE: (315), (383) imply:
% 23.24/3.92  | | | | | | | | | | | | | | | |   (384)  $false
% 23.24/3.92  | | | | | | | | | | | | | | | | 
% 23.24/3.92  | | | | | | | | | | | | | | | | CLOSE: (384) is inconsistent.
% 23.24/3.92  | | | | | | | | | | | | | | | | 
% 23.24/3.92  | | | | | | | | | | | | | | | Case 2:
% 23.24/3.92  | | | | | | | | | | | | | | | | 
% 23.24/3.92  | | | | | | | | | | | | | | | | 
% 23.24/3.92  | | | | | | | | | | | | | | | | GROUND_INST: instantiating (18) with 0, all_400_2, all_53_2,
% 23.24/3.92  | | | | | | | | | | | | | | | |              simplifying with (341), (376) gives:
% 23.24/3.92  | | | | | | | | | | | | | | | |   (385)  all_400_2 = 0
% 23.24/3.92  | | | | | | | | | | | | | | | | 
% 23.24/3.92  | | | | | | | | | | | | | | | | GROUND_INST: instantiating (18) with 0, all_400_1, all_53_0,
% 23.24/3.92  | | | | | | | | | | | | | | | |              simplifying with (306), (377) gives:
% 23.24/3.92  | | | | | | | | | | | | | | | |   (386)  all_400_1 = 0
% 23.24/3.92  | | | | | | | | | | | | | | | | 
% 23.24/3.92  | | | | | | | | | | | | | | | | GROUND_INST: instantiating (21) with 0, all_400_0, all_53_2,
% 23.24/3.92  | | | | | | | | | | | | | | | |              all_53_0, simplifying with (102), (378) gives:
% 23.24/3.92  | | | | | | | | | | | | | | | |   (387)  all_400_0 = 0
% 23.24/3.92  | | | | | | | | | | | | | | | | 
% 23.24/3.92  | | | | | | | | | | | | | | | | BETA: splitting (379) gives:
% 23.24/3.92  | | | | | | | | | | | | | | | | 
% 23.24/3.92  | | | | | | | | | | | | | | | | Case 1:
% 23.24/3.92  | | | | | | | | | | | | | | | | | 
% 23.24/3.93  | | | | | | | | | | | | | | | | |   (388)   ~ (all_400_0 = 0)
% 23.24/3.93  | | | | | | | | | | | | | | | | | 
% 23.24/3.93  | | | | | | | | | | | | | | | | | REDUCE: (387), (388) imply:
% 23.24/3.93  | | | | | | | | | | | | | | | | |   (389)  $false
% 23.24/3.93  | | | | | | | | | | | | | | | | | 
% 23.24/3.93  | | | | | | | | | | | | | | | | | CLOSE: (389) is inconsistent.
% 23.24/3.93  | | | | | | | | | | | | | | | | | 
% 23.24/3.93  | | | | | | | | | | | | | | | | Case 2:
% 23.24/3.93  | | | | | | | | | | | | | | | | | 
% 23.24/3.93  | | | | | | | | | | | | | | | | |   (390)   ~ (all_400_1 = 0) |  ~ (all_400_2 = 0)
% 23.24/3.93  | | | | | | | | | | | | | | | | | 
% 23.24/3.93  | | | | | | | | | | | | | | | | | BETA: splitting (390) gives:
% 23.24/3.93  | | | | | | | | | | | | | | | | | 
% 23.24/3.93  | | | | | | | | | | | | | | | | | Case 1:
% 23.24/3.93  | | | | | | | | | | | | | | | | | | 
% 23.24/3.93  | | | | | | | | | | | | | | | | | |   (391)   ~ (all_400_1 = 0)
% 23.24/3.93  | | | | | | | | | | | | | | | | | | 
% 23.24/3.93  | | | | | | | | | | | | | | | | | | REDUCE: (386), (391) imply:
% 23.24/3.93  | | | | | | | | | | | | | | | | | |   (392)  $false
% 23.24/3.93  | | | | | | | | | | | | | | | | | | 
% 23.24/3.93  | | | | | | | | | | | | | | | | | | CLOSE: (392) is inconsistent.
% 23.24/3.93  | | | | | | | | | | | | | | | | | | 
% 23.24/3.93  | | | | | | | | | | | | | | | | | Case 2:
% 23.24/3.93  | | | | | | | | | | | | | | | | | | 
% 23.24/3.93  | | | | | | | | | | | | | | | | | |   (393)   ~ (all_400_2 = 0)
% 23.24/3.93  | | | | | | | | | | | | | | | | | | 
% 23.24/3.93  | | | | | | | | | | | | | | | | | | REDUCE: (385), (393) imply:
% 23.24/3.93  | | | | | | | | | | | | | | | | | |   (394)  $false
% 23.24/3.93  | | | | | | | | | | | | | | | | | | 
% 23.24/3.93  | | | | | | | | | | | | | | | | | | CLOSE: (394) is inconsistent.
% 23.24/3.93  | | | | | | | | | | | | | | | | | | 
% 23.24/3.93  | | | | | | | | | | | | | | | | | End of split
% 23.24/3.93  | | | | | | | | | | | | | | | | | 
% 23.24/3.93  | | | | | | | | | | | | | | | | End of split
% 23.24/3.93  | | | | | | | | | | | | | | | | 
% 23.24/3.93  | | | | | | | | | | | | | | | End of split
% 23.24/3.93  | | | | | | | | | | | | | | | 
% 23.24/3.93  | | | | | | | | | | | | | | End of split
% 23.24/3.93  | | | | | | | | | | | | | | 
% 23.24/3.93  | | | | | | | | | | | | | End of split
% 23.24/3.93  | | | | | | | | | | | | | 
% 23.24/3.93  | | | | | | | | | | | | End of split
% 23.24/3.93  | | | | | | | | | | | | 
% 23.24/3.93  | | | | | | | | | | | End of split
% 23.24/3.93  | | | | | | | | | | | 
% 23.24/3.93  | | | | | | | | | | End of split
% 23.24/3.93  | | | | | | | | | | 
% 23.24/3.93  | | | | | | | | | End of split
% 23.24/3.93  | | | | | | | | | 
% 23.24/3.93  | | | | | | | | End of split
% 23.24/3.93  | | | | | | | | 
% 23.24/3.93  | | | | | | | End of split
% 23.24/3.93  | | | | | | | 
% 23.24/3.93  | | | | | | End of split
% 23.24/3.93  | | | | | | 
% 23.24/3.93  | | | | | End of split
% 23.24/3.93  | | | | | 
% 23.24/3.93  | | | | End of split
% 23.24/3.93  | | | | 
% 23.24/3.93  | | | End of split
% 23.24/3.93  | | | 
% 23.24/3.93  | | End of split
% 23.24/3.93  | | 
% 23.24/3.93  | End of split
% 23.24/3.93  | 
% 23.24/3.93  End of proof
% 23.24/3.93  % SZS output end Proof for theBenchmark
% 23.24/3.93  
% 23.24/3.93  3342ms
%------------------------------------------------------------------------------