%------------------------------------------------------------------------------
% File     : Princess---230619
% Problem  : NUM479+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s

% Computer : n019.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 11:48:03 EDT 2023

% Result   : Theorem 14.05s 2.67s
% Output   : Proof 22.54s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : NUM479+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13  % Command  : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.14/0.34  % Computer : n019.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Fri Aug 25 12:25:28 EDT 2023
% 0.14/0.34  % CPUTime  : 
% 0.20/0.60  ________       _____
% 0.20/0.60  ___  __ \_________(_)________________________________
% 0.20/0.60  __  /_/ /_  ___/_  /__  __ \  ___/  _ \_  ___/_  ___/
% 0.20/0.60  _  ____/_  /   _  / _  / / / /__ /  __/(__  )_(__  )
% 0.20/0.60  /_/     /_/    /_/  /_/ /_/\___/ \___//____/ /____/
% 0.20/0.60  
% 0.20/0.60  A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.20/0.60  (2023-06-19)
% 0.20/0.60  
% 0.20/0.60  (c) Philipp Rümmer, 2009-2023
% 0.20/0.60  Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.20/0.60                Amanda Stjerna.
% 0.20/0.60  Free software under BSD-3-Clause.
% 0.20/0.60  
% 0.20/0.60  For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.20/0.60  
% 0.20/0.61  Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.20/0.62  Running up to 7 provers in parallel.
% 0.20/0.64  Prover 0: Options:  +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.20/0.64  Prover 1: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.20/0.64  Prover 4: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.20/0.64  Prover 2: Options:  +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.20/0.64  Prover 3: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.20/0.64  Prover 6: Options:  -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 0.20/0.64  Prover 5: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 3.33/1.15  Prover 4: Preprocessing ...
% 3.33/1.15  Prover 1: Preprocessing ...
% 3.33/1.19  Prover 0: Preprocessing ...
% 3.33/1.19  Prover 6: Preprocessing ...
% 3.33/1.19  Prover 5: Preprocessing ...
% 3.33/1.19  Prover 3: Preprocessing ...
% 3.33/1.19  Prover 2: Preprocessing ...
% 8.71/1.97  Prover 1: Constructing countermodel ...
% 8.71/1.97  Prover 6: Proving ...
% 8.71/1.98  Prover 3: Constructing countermodel ...
% 8.71/2.00  Prover 5: Constructing countermodel ...
% 10.12/2.21  Prover 2: Proving ...
% 10.93/2.29  Prover 4: Constructing countermodel ...
% 12.46/2.48  Prover 0: Proving ...
% 13.74/2.66  Prover 3: proved (2020ms)
% 14.05/2.67  
% 14.05/2.67  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 14.05/2.67  
% 14.05/2.67  Prover 5: stopped
% 14.05/2.68  Prover 7: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 14.05/2.68  Prover 2: stopped
% 14.05/2.68  Prover 6: stopped
% 14.05/2.68  Prover 0: stopped
% 14.05/2.69  Prover 10: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 14.05/2.69  Prover 8: Options:  +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 14.05/2.69  Prover 11: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 14.05/2.69  Prover 13: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 14.57/2.85  Prover 7: Preprocessing ...
% 14.57/2.85  Prover 10: Preprocessing ...
% 14.57/2.86  Prover 8: Preprocessing ...
% 14.57/2.88  Prover 11: Preprocessing ...
% 14.57/2.89  Prover 13: Preprocessing ...
% 17.36/3.15  Prover 10: Constructing countermodel ...
% 17.36/3.18  Prover 8: Warning: ignoring some quantifiers
% 17.89/3.20  Prover 13: Constructing countermodel ...
% 17.89/3.21  Prover 8: Constructing countermodel ...
% 17.89/3.23  Prover 7: Constructing countermodel ...
% 20.13/3.64  Prover 11: Constructing countermodel ...
% 21.67/3.73  Prover 1: Found proof (size 349)
% 21.67/3.73  Prover 1: proved (3105ms)
% 21.67/3.74  Prover 4: stopped
% 21.67/3.74  Prover 13: stopped
% 21.67/3.74  Prover 11: stopped
% 21.67/3.74  Prover 10: stopped
% 21.67/3.74  Prover 7: stopped
% 21.67/3.74  Prover 8: stopped
% 21.67/3.74  
% 21.67/3.74  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 21.67/3.74  
% 21.93/3.78  % SZS output start Proof for theBenchmark
% 21.93/3.79  Assumptions after simplification:
% 21.93/3.79  ---------------------------------
% 21.93/3.79  
% 21.93/3.79    (mDefDiv)
% 21.93/3.81     ! [v0: $i] :  ! [v1: $i] :  ! [v2: any] : ( ~ (doDivides0(v0, v1) = v2) |  ~
% 21.93/3.81      $i(v1) |  ~ $i(v0) |  ? [v3: any] :  ? [v4: any] : (aNaturalNumber0(v1) = v4
% 21.93/3.81        & aNaturalNumber0(v0) = v3 & ( ~ (v4 = 0) |  ~ (v3 = 0))) | (( ~ (v2 = 0)
% 21.93/3.81          |  ? [v3: $i] : (sdtasdt0(v0, v3) = v1 & aNaturalNumber0(v3) = 0 &
% 21.93/3.81            $i(v3))) & (v2 = 0 |  ! [v3: $i] : ( ~ (sdtasdt0(v0, v3) = v1) |  ~
% 21.93/3.81            $i(v3) |  ? [v4: int] : ( ~ (v4 = 0) & aNaturalNumber0(v3) = v4)))))
% 21.93/3.81  
% 21.93/3.81    (mDefQuot)
% 21.93/3.81    $i(sz00) &  ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] : (v0 = sz00 |  ~
% 21.93/3.81      (sdtsldt0(v1, v0) = v2) |  ~ $i(v1) |  ~ $i(v0) |  ? [v3: any] :  ? [v4:
% 21.93/3.81        any] :  ? [v5: any] : (doDivides0(v0, v1) = v5 & aNaturalNumber0(v1) = v4
% 21.93/3.81        & aNaturalNumber0(v0) = v3 & ( ~ (v5 = 0) |  ~ (v4 = 0) |  ~ (v3 = 0))) |
% 21.93/3.81      ( ! [v3: $i] : (v3 = v2 |  ~ (sdtasdt0(v0, v3) = v1) |  ~ $i(v3) |  ? [v4:
% 21.93/3.81            int] : ( ~ (v4 = 0) & aNaturalNumber0(v3) = v4)) &  ! [v3: $i] : ( ~
% 21.93/3.81          (sdtasdt0(v0, v2) = v3) |  ~ $i(v2) | (v3 = v1 & aNaturalNumber0(v2) =
% 21.93/3.81            0))))
% 21.93/3.81  
% 21.93/3.81    (mMulAsso)
% 21.93/3.82     ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] :  ! [v4: $i] : ( ~
% 21.93/3.82      (sdtasdt0(v3, v2) = v4) |  ~ (sdtasdt0(v0, v1) = v3) |  ~ $i(v2) |  ~ $i(v1)
% 21.93/3.82      |  ~ $i(v0) |  ? [v5: any] :  ? [v6: any] :  ? [v7: any] :  ? [v8: $i] :  ?
% 21.93/3.82      [v9: $i] : (sdtasdt0(v1, v2) = v8 & sdtasdt0(v0, v8) = v9 &
% 21.93/3.82        aNaturalNumber0(v2) = v7 & aNaturalNumber0(v1) = v6 & aNaturalNumber0(v0)
% 21.93/3.82        = v5 & $i(v9) & $i(v8) & ( ~ (v7 = 0) |  ~ (v6 = 0) |  ~ (v5 = 0) | v9 =
% 21.93/3.82          v4)))
% 21.93/3.82  
% 21.93/3.82    (mMulComm)
% 21.93/3.82     ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] : ( ~ (sdtasdt0(v0, v1) = v2) |  ~
% 21.93/3.82      $i(v1) |  ~ $i(v0) |  ? [v3: any] :  ? [v4: any] :  ? [v5: $i] :
% 21.93/3.82      (sdtasdt0(v1, v0) = v5 & aNaturalNumber0(v1) = v4 & aNaturalNumber0(v0) = v3
% 21.93/3.82        & $i(v5) & ( ~ (v4 = 0) |  ~ (v3 = 0) | v5 = v2)))
% 21.93/3.82  
% 21.93/3.82    (mSortsB_02)
% 21.93/3.82     ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] : ( ~ (sdtasdt0(v0, v1) = v2) |  ~
% 21.93/3.82      $i(v1) |  ~ $i(v0) |  ? [v3: any] :  ? [v4: any] :  ? [v5: any] :
% 21.93/3.82      (aNaturalNumber0(v2) = v5 & aNaturalNumber0(v1) = v4 & aNaturalNumber0(v0) =
% 21.93/3.82        v3 & ( ~ (v4 = 0) |  ~ (v3 = 0) | v5 = 0)))
% 21.93/3.82  
% 21.93/3.82    (m__)
% 21.93/3.82    $i(xn) & $i(xm) & $i(xl) &  ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] :  ? [v3:
% 21.93/3.82      $i] :  ? [v4: $i] :  ? [v5: $i] : ( ~ (v5 = v2) & sdtsldt0(v3, xl) = v4 &
% 21.93/3.82      sdtsldt0(xm, xl) = v1 & sdtasdt0(v0, v1) = v2 & sdtasdt0(xn, xm) = v3 &
% 21.93/3.82      sdtasdt0(xl, v4) = v5 & sdtasdt0(xl, xn) = v0 & $i(v5) & $i(v4) & $i(v3) &
% 21.93/3.82      $i(v2) & $i(v1) & $i(v0))
% 21.93/3.82  
% 21.93/3.82    (m__1524)
% 21.93/3.82    aNaturalNumber0(xm) = 0 & aNaturalNumber0(xl) = 0 & $i(xm) & $i(xl)
% 21.93/3.82  
% 21.93/3.82    (m__1524_04)
% 21.93/3.82     ~ (xl = sz00) & doDivides0(xl, xm) = 0 & $i(xm) & $i(xl) & $i(sz00)
% 21.93/3.82  
% 21.93/3.82    (m__1553)
% 21.93/3.82    aNaturalNumber0(xn) = 0 & $i(xn)
% 21.93/3.82  
% 21.93/3.82    (function-axioms)
% 21.93/3.83     ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 21.93/3.83      (sdtsldt0(v3, v2) = v1) |  ~ (sdtsldt0(v3, v2) = v0)) &  ! [v0:
% 21.93/3.83      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] :  ! [v3: $i]
% 21.93/3.83    : (v1 = v0 |  ~ (doDivides0(v3, v2) = v1) |  ~ (doDivides0(v3, v2) = v0)) &  !
% 21.93/3.83    [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] :  ! [v3:
% 21.93/3.83      $i] : (v1 = v0 |  ~ (iLess0(v3, v2) = v1) |  ~ (iLess0(v3, v2) = v0)) &  !
% 21.93/3.83    [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 21.93/3.83      (sdtmndt0(v3, v2) = v1) |  ~ (sdtmndt0(v3, v2) = v0)) &  ! [v0:
% 21.93/3.83      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] :  ! [v3: $i]
% 21.93/3.83    : (v1 = v0 |  ~ (sdtlseqdt0(v3, v2) = v1) |  ~ (sdtlseqdt0(v3, v2) = v0)) &  !
% 21.93/3.83    [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 21.93/3.83      (sdtasdt0(v3, v2) = v1) |  ~ (sdtasdt0(v3, v2) = v0)) &  ! [v0: $i] :  !
% 21.93/3.83    [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~ (sdtpldt0(v3, v2) = v1) |
% 21.93/3.83       ~ (sdtpldt0(v3, v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1:
% 21.93/3.83      MultipleValueBool] :  ! [v2: $i] : (v1 = v0 |  ~ (aNaturalNumber0(v2) = v1)
% 21.93/3.83      |  ~ (aNaturalNumber0(v2) = v0))
% 21.93/3.83  
% 21.93/3.83  Further assumptions not needed in the proof:
% 21.93/3.83  --------------------------------------------
% 21.93/3.83  mAMDistr, mAddAsso, mAddCanc, mAddComm, mDefDiff, mDefLE, mDivLE, mDivMin,
% 21.93/3.83  mDivSum, mDivTrans, mIH, mIH_03, mLEAsym, mLENTr, mLERefl, mLETotal, mLETran,
% 21.93/3.83  mMonAdd, mMonMul, mMonMul2, mMulCanc, mNatSort, mSortsB, mSortsC, mSortsC_01,
% 21.93/3.83  mZeroAdd, mZeroMul, m_AddZero, m_MulUnit, m_MulZero
% 21.93/3.83  
% 21.93/3.83  Those formulas are unsatisfiable:
% 21.93/3.83  ---------------------------------
% 21.93/3.83  
% 21.93/3.83  Begin of proof
% 21.93/3.83  | 
% 21.93/3.83  | ALPHA: (mDefQuot) implies:
% 21.93/3.83  |   (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] : (v0 = sz00 |  ~ (sdtsldt0(v1,
% 21.93/3.83  |              v0) = v2) |  ~ $i(v1) |  ~ $i(v0) |  ? [v3: any] :  ? [v4: any] :
% 21.93/3.83  |           ? [v5: any] : (doDivides0(v0, v1) = v5 & aNaturalNumber0(v1) = v4 &
% 21.93/3.83  |            aNaturalNumber0(v0) = v3 & ( ~ (v5 = 0) |  ~ (v4 = 0) |  ~ (v3 =
% 21.93/3.83  |                0))) | ( ! [v3: $i] : (v3 = v2 |  ~ (sdtasdt0(v0, v3) = v1) | 
% 21.93/3.83  |              ~ $i(v3) |  ? [v4: int] : ( ~ (v4 = 0) & aNaturalNumber0(v3) =
% 21.93/3.83  |                v4)) &  ! [v3: $i] : ( ~ (sdtasdt0(v0, v2) = v3) |  ~ $i(v2) |
% 21.93/3.83  |              (v3 = v1 & aNaturalNumber0(v2) = 0))))
% 21.93/3.83  | 
% 21.93/3.83  | ALPHA: (m__1524) implies:
% 21.93/3.83  |   (2)  aNaturalNumber0(xl) = 0
% 21.93/3.83  |   (3)  aNaturalNumber0(xm) = 0
% 21.93/3.83  | 
% 21.93/3.83  | ALPHA: (m__1524_04) implies:
% 21.93/3.83  |   (4)   ~ (xl = sz00)
% 21.93/3.83  |   (5)  doDivides0(xl, xm) = 0
% 21.93/3.83  | 
% 21.93/3.83  | ALPHA: (m__1553) implies:
% 21.93/3.83  |   (6)  aNaturalNumber0(xn) = 0
% 21.93/3.83  | 
% 21.93/3.83  | ALPHA: (m__) implies:
% 21.93/3.83  |   (7)  $i(xl)
% 21.93/3.83  |   (8)  $i(xm)
% 21.93/3.83  |   (9)  $i(xn)
% 21.93/3.83  |   (10)   ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] :  ? [v3: $i] :  ? [v4: $i] : 
% 21.93/3.83  |         ? [v5: $i] : ( ~ (v5 = v2) & sdtsldt0(v3, xl) = v4 & sdtsldt0(xm, xl)
% 21.93/3.83  |           = v1 & sdtasdt0(v0, v1) = v2 & sdtasdt0(xn, xm) = v3 & sdtasdt0(xl,
% 21.93/3.83  |             v4) = v5 & sdtasdt0(xl, xn) = v0 & $i(v5) & $i(v4) & $i(v3) &
% 21.93/3.83  |           $i(v2) & $i(v1) & $i(v0))
% 21.93/3.83  | 
% 21.93/3.83  | ALPHA: (function-axioms) implies:
% 21.93/3.83  |   (11)   ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i]
% 21.93/3.83  |         : (v1 = v0 |  ~ (aNaturalNumber0(v2) = v1) |  ~ (aNaturalNumber0(v2) =
% 21.93/3.83  |             v0))
% 21.93/3.83  |   (12)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 21.93/3.83  |           (sdtasdt0(v3, v2) = v1) |  ~ (sdtasdt0(v3, v2) = v0))
% 21.93/3.83  |   (13)   ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i]
% 21.93/3.83  |         :  ! [v3: $i] : (v1 = v0 |  ~ (doDivides0(v3, v2) = v1) |  ~
% 21.93/3.83  |           (doDivides0(v3, v2) = v0))
% 21.93/3.84  | 
% 21.93/3.84  | DELTA: instantiating (10) with fresh symbols all_35_0, all_35_1, all_35_2,
% 21.93/3.84  |        all_35_3, all_35_4, all_35_5 gives:
% 21.93/3.84  |   (14)   ~ (all_35_0 = all_35_3) & sdtsldt0(all_35_2, xl) = all_35_1 &
% 21.93/3.84  |         sdtsldt0(xm, xl) = all_35_4 & sdtasdt0(all_35_5, all_35_4) = all_35_3
% 21.93/3.84  |         & sdtasdt0(xn, xm) = all_35_2 & sdtasdt0(xl, all_35_1) = all_35_0 &
% 21.93/3.84  |         sdtasdt0(xl, xn) = all_35_5 & $i(all_35_0) & $i(all_35_1) &
% 21.93/3.84  |         $i(all_35_2) & $i(all_35_3) & $i(all_35_4) & $i(all_35_5)
% 21.93/3.84  | 
% 21.93/3.84  | ALPHA: (14) implies:
% 21.93/3.84  |   (15)   ~ (all_35_0 = all_35_3)
% 21.93/3.84  |   (16)  $i(all_35_5)
% 21.93/3.84  |   (17)  $i(all_35_4)
% 21.93/3.84  |   (18)  $i(all_35_2)
% 21.93/3.84  |   (19)  $i(all_35_1)
% 21.93/3.84  |   (20)  sdtasdt0(xl, xn) = all_35_5
% 21.93/3.84  |   (21)  sdtasdt0(xl, all_35_1) = all_35_0
% 21.93/3.84  |   (22)  sdtasdt0(xn, xm) = all_35_2
% 21.93/3.84  |   (23)  sdtasdt0(all_35_5, all_35_4) = all_35_3
% 21.93/3.84  |   (24)  sdtsldt0(xm, xl) = all_35_4
% 21.93/3.84  |   (25)  sdtsldt0(all_35_2, xl) = all_35_1
% 21.93/3.84  | 
% 22.33/3.84  | GROUND_INST: instantiating (mMulComm) with xl, xn, all_35_5, simplifying with
% 22.33/3.84  |              (7), (9), (20) gives:
% 22.33/3.84  |   (26)   ? [v0: any] :  ? [v1: any] :  ? [v2: $i] : (sdtasdt0(xn, xl) = v2 &
% 22.33/3.84  |           aNaturalNumber0(xn) = v1 & aNaturalNumber0(xl) = v0 & $i(v2) & ( ~
% 22.33/3.84  |             (v1 = 0) |  ~ (v0 = 0) | v2 = all_35_5))
% 22.33/3.84  | 
% 22.33/3.84  | GROUND_INST: instantiating (mSortsB_02) with xl, xn, all_35_5, simplifying
% 22.33/3.84  |              with (7), (9), (20) gives:
% 22.33/3.84  |   (27)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :
% 22.33/3.84  |         (aNaturalNumber0(all_35_5) = v2 & aNaturalNumber0(xn) = v1 &
% 22.33/3.84  |           aNaturalNumber0(xl) = v0 & ( ~ (v1 = 0) |  ~ (v0 = 0) | v2 = 0))
% 22.33/3.84  | 
% 22.33/3.84  | GROUND_INST: instantiating (mMulComm) with xl, all_35_1, all_35_0, simplifying
% 22.33/3.84  |              with (7), (19), (21) gives:
% 22.33/3.84  |   (28)   ? [v0: any] :  ? [v1: any] :  ? [v2: $i] : (sdtasdt0(all_35_1, xl) =
% 22.33/3.84  |           v2 & aNaturalNumber0(all_35_1) = v1 & aNaturalNumber0(xl) = v0 &
% 22.33/3.84  |           $i(v2) & ( ~ (v1 = 0) |  ~ (v0 = 0) | v2 = all_35_0))
% 22.33/3.84  | 
% 22.33/3.84  | GROUND_INST: instantiating (mSortsB_02) with xl, all_35_1, all_35_0,
% 22.33/3.84  |              simplifying with (7), (19), (21) gives:
% 22.33/3.84  |   (29)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :
% 22.33/3.84  |         (aNaturalNumber0(all_35_0) = v2 & aNaturalNumber0(all_35_1) = v1 &
% 22.33/3.84  |           aNaturalNumber0(xl) = v0 & ( ~ (v1 = 0) |  ~ (v0 = 0) | v2 = 0))
% 22.33/3.84  | 
% 22.33/3.84  | GROUND_INST: instantiating (mMulComm) with xn, xm, all_35_2, simplifying with
% 22.33/3.84  |              (8), (9), (22) gives:
% 22.33/3.84  |   (30)   ? [v0: any] :  ? [v1: any] :  ? [v2: $i] : (sdtasdt0(xm, xn) = v2 &
% 22.33/3.84  |           aNaturalNumber0(xn) = v0 & aNaturalNumber0(xm) = v1 & $i(v2) & ( ~
% 22.33/3.84  |             (v1 = 0) |  ~ (v0 = 0) | v2 = all_35_2))
% 22.33/3.84  | 
% 22.33/3.84  | GROUND_INST: instantiating (mSortsB_02) with xn, xm, all_35_2, simplifying
% 22.33/3.84  |              with (8), (9), (22) gives:
% 22.33/3.84  |   (31)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :
% 22.33/3.85  |         (aNaturalNumber0(all_35_2) = v2 & aNaturalNumber0(xn) = v0 &
% 22.33/3.85  |           aNaturalNumber0(xm) = v1 & ( ~ (v1 = 0) |  ~ (v0 = 0) | v2 = 0))
% 22.33/3.85  | 
% 22.33/3.85  | GROUND_INST: instantiating (mMulAsso) with xl, xn, all_35_4, all_35_5,
% 22.33/3.85  |              all_35_3, simplifying with (7), (9), (17), (20), (23) gives:
% 22.33/3.85  |   (32)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :  ? [v3: $i] :  ? [v4: $i]
% 22.33/3.85  |         : (sdtasdt0(xn, all_35_4) = v3 & sdtasdt0(xl, v3) = v4 &
% 22.33/3.85  |           aNaturalNumber0(all_35_4) = v2 & aNaturalNumber0(xn) = v1 &
% 22.33/3.85  |           aNaturalNumber0(xl) = v0 & $i(v4) & $i(v3) & ( ~ (v2 = 0) |  ~ (v1 =
% 22.33/3.85  |               0) |  ~ (v0 = 0) | v4 = all_35_3))
% 22.33/3.85  | 
% 22.33/3.85  | GROUND_INST: instantiating (mMulComm) with all_35_5, all_35_4, all_35_3,
% 22.33/3.85  |              simplifying with (16), (17), (23) gives:
% 22.33/3.85  |   (33)   ? [v0: any] :  ? [v1: any] :  ? [v2: $i] : (sdtasdt0(all_35_4,
% 22.33/3.85  |             all_35_5) = v2 & aNaturalNumber0(all_35_4) = v1 &
% 22.33/3.85  |           aNaturalNumber0(all_35_5) = v0 & $i(v2) & ( ~ (v1 = 0) |  ~ (v0 = 0)
% 22.33/3.85  |             | v2 = all_35_3))
% 22.33/3.85  | 
% 22.33/3.85  | GROUND_INST: instantiating (mSortsB_02) with all_35_5, all_35_4, all_35_3,
% 22.33/3.85  |              simplifying with (16), (17), (23) gives:
% 22.33/3.85  |   (34)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :
% 22.33/3.85  |         (aNaturalNumber0(all_35_3) = v2 & aNaturalNumber0(all_35_4) = v1 &
% 22.33/3.85  |           aNaturalNumber0(all_35_5) = v0 & ( ~ (v1 = 0) |  ~ (v0 = 0) | v2 =
% 22.33/3.85  |             0))
% 22.33/3.85  | 
% 22.33/3.85  | GROUND_INST: instantiating (mDefDiv) with xl, xm, 0, simplifying with (5),
% 22.33/3.85  |              (7), (8) gives:
% 22.33/3.85  |   (35)   ? [v0: any] :  ? [v1: any] : (aNaturalNumber0(xm) = v1 &
% 22.33/3.85  |           aNaturalNumber0(xl) = v0 & ( ~ (v1 = 0) |  ~ (v0 = 0))) |  ? [v0:
% 22.33/3.85  |           $i] : (sdtasdt0(xl, v0) = xm & aNaturalNumber0(v0) = 0 & $i(v0))
% 22.33/3.85  | 
% 22.33/3.85  | GROUND_INST: instantiating (1) with xl, xm, all_35_4, simplifying with (7),
% 22.33/3.85  |              (8), (24) gives:
% 22.33/3.85  |   (36)  xl = sz00 |  ? [v0: any] :  ? [v1: any] :  ? [v2: any] :
% 22.33/3.85  |         (doDivides0(xl, xm) = v2 & aNaturalNumber0(xm) = v1 &
% 22.33/3.85  |           aNaturalNumber0(xl) = v0 & ( ~ (v2 = 0) |  ~ (v1 = 0) |  ~ (v0 =
% 22.33/3.85  |               0))) | ( ! [v0: any] : (v0 = all_35_4 |  ~ (sdtasdt0(xl, v0) =
% 22.33/3.85  |               xm) |  ~ $i(v0) |  ? [v1: int] : ( ~ (v1 = 0) &
% 22.33/3.85  |               aNaturalNumber0(v0) = v1)) &  ! [v0: $i] : ( ~ (sdtasdt0(xl,
% 22.33/3.85  |                 all_35_4) = v0) |  ~ $i(all_35_4) | (v0 = xm &
% 22.33/3.85  |               aNaturalNumber0(all_35_4) = 0)))
% 22.33/3.85  | 
% 22.33/3.85  | GROUND_INST: instantiating (1) with xl, all_35_2, all_35_1, simplifying with
% 22.33/3.85  |              (7), (18), (25) gives:
% 22.33/3.85  |   (37)  xl = sz00 |  ? [v0: any] :  ? [v1: any] :  ? [v2: any] :
% 22.33/3.85  |         (doDivides0(xl, all_35_2) = v2 & aNaturalNumber0(all_35_2) = v1 &
% 22.33/3.85  |           aNaturalNumber0(xl) = v0 & ( ~ (v2 = 0) |  ~ (v1 = 0) |  ~ (v0 =
% 22.33/3.85  |               0))) | ( ! [v0: any] : (v0 = all_35_1 |  ~ (sdtasdt0(xl, v0) =
% 22.33/3.85  |               all_35_2) |  ~ $i(v0) |  ? [v1: int] : ( ~ (v1 = 0) &
% 22.33/3.85  |               aNaturalNumber0(v0) = v1)) &  ! [v0: $i] : ( ~ (sdtasdt0(xl,
% 22.33/3.85  |                 all_35_1) = v0) |  ~ $i(all_35_1) | (v0 = all_35_2 &
% 22.33/3.85  |               aNaturalNumber0(all_35_1) = 0)))
% 22.33/3.85  | 
% 22.33/3.85  | DELTA: instantiating (34) with fresh symbols all_42_0, all_42_1, all_42_2
% 22.33/3.85  |        gives:
% 22.33/3.85  |   (38)  aNaturalNumber0(all_35_3) = all_42_0 & aNaturalNumber0(all_35_4) =
% 22.33/3.85  |         all_42_1 & aNaturalNumber0(all_35_5) = all_42_2 & ( ~ (all_42_1 = 0) |
% 22.33/3.85  |            ~ (all_42_2 = 0) | all_42_0 = 0)
% 22.33/3.85  | 
% 22.33/3.85  | ALPHA: (38) implies:
% 22.33/3.85  |   (39)  aNaturalNumber0(all_35_4) = all_42_1
% 22.33/3.85  | 
% 22.33/3.85  | DELTA: instantiating (31) with fresh symbols all_44_0, all_44_1, all_44_2
% 22.33/3.85  |        gives:
% 22.33/3.85  |   (40)  aNaturalNumber0(all_35_2) = all_44_0 & aNaturalNumber0(xn) = all_44_2
% 22.33/3.85  |         & aNaturalNumber0(xm) = all_44_1 & ( ~ (all_44_1 = 0) |  ~ (all_44_2 =
% 22.33/3.85  |             0) | all_44_0 = 0)
% 22.33/3.85  | 
% 22.33/3.85  | ALPHA: (40) implies:
% 22.33/3.85  |   (41)  aNaturalNumber0(xm) = all_44_1
% 22.33/3.85  |   (42)  aNaturalNumber0(xn) = all_44_2
% 22.33/3.86  |   (43)  aNaturalNumber0(all_35_2) = all_44_0
% 22.33/3.86  |   (44)   ~ (all_44_1 = 0) |  ~ (all_44_2 = 0) | all_44_0 = 0
% 22.33/3.86  | 
% 22.33/3.86  | DELTA: instantiating (29) with fresh symbols all_46_0, all_46_1, all_46_2
% 22.33/3.86  |        gives:
% 22.33/3.86  |   (45)  aNaturalNumber0(all_35_0) = all_46_0 & aNaturalNumber0(all_35_1) =
% 22.33/3.86  |         all_46_1 & aNaturalNumber0(xl) = all_46_2 & ( ~ (all_46_1 = 0) |  ~
% 22.33/3.86  |           (all_46_2 = 0) | all_46_0 = 0)
% 22.33/3.86  | 
% 22.33/3.86  | ALPHA: (45) implies:
% 22.33/3.86  |   (46)  aNaturalNumber0(xl) = all_46_2
% 22.33/3.86  | 
% 22.33/3.86  | DELTA: instantiating (27) with fresh symbols all_48_0, all_48_1, all_48_2
% 22.33/3.86  |        gives:
% 22.33/3.86  |   (47)  aNaturalNumber0(all_35_5) = all_48_0 & aNaturalNumber0(xn) = all_48_1
% 22.33/3.86  |         & aNaturalNumber0(xl) = all_48_2 & ( ~ (all_48_1 = 0) |  ~ (all_48_2 =
% 22.33/3.86  |             0) | all_48_0 = 0)
% 22.33/3.86  | 
% 22.33/3.86  | ALPHA: (47) implies:
% 22.33/3.86  |   (48)  aNaturalNumber0(xl) = all_48_2
% 22.33/3.86  |   (49)  aNaturalNumber0(xn) = all_48_1
% 22.33/3.86  | 
% 22.33/3.86  | DELTA: instantiating (26) with fresh symbols all_50_0, all_50_1, all_50_2
% 22.33/3.86  |        gives:
% 22.33/3.86  |   (50)  sdtasdt0(xn, xl) = all_50_0 & aNaturalNumber0(xn) = all_50_1 &
% 22.33/3.86  |         aNaturalNumber0(xl) = all_50_2 & $i(all_50_0) & ( ~ (all_50_1 = 0) | 
% 22.33/3.86  |           ~ (all_50_2 = 0) | all_50_0 = all_35_5)
% 22.33/3.86  | 
% 22.33/3.86  | ALPHA: (50) implies:
% 22.33/3.86  |   (51)  $i(all_50_0)
% 22.33/3.86  |   (52)  aNaturalNumber0(xl) = all_50_2
% 22.33/3.86  |   (53)  aNaturalNumber0(xn) = all_50_1
% 22.33/3.86  |   (54)  sdtasdt0(xn, xl) = all_50_0
% 22.33/3.86  |   (55)   ~ (all_50_1 = 0) |  ~ (all_50_2 = 0) | all_50_0 = all_35_5
% 22.33/3.86  | 
% 22.33/3.86  | DELTA: instantiating (30) with fresh symbols all_52_0, all_52_1, all_52_2
% 22.33/3.86  |        gives:
% 22.33/3.86  |   (56)  sdtasdt0(xm, xn) = all_52_0 & aNaturalNumber0(xn) = all_52_2 &
% 22.33/3.86  |         aNaturalNumber0(xm) = all_52_1 & $i(all_52_0) & ( ~ (all_52_1 = 0) | 
% 22.33/3.86  |           ~ (all_52_2 = 0) | all_52_0 = all_35_2)
% 22.33/3.86  | 
% 22.33/3.86  | ALPHA: (56) implies:
% 22.33/3.86  |   (57)  aNaturalNumber0(xm) = all_52_1
% 22.33/3.86  |   (58)  aNaturalNumber0(xn) = all_52_2
% 22.33/3.86  |   (59)  sdtasdt0(xm, xn) = all_52_0
% 22.33/3.86  |   (60)   ~ (all_52_1 = 0) |  ~ (all_52_2 = 0) | all_52_0 = all_35_2
% 22.33/3.86  | 
% 22.33/3.86  | DELTA: instantiating (28) with fresh symbols all_54_0, all_54_1, all_54_2
% 22.33/3.86  |        gives:
% 22.33/3.86  |   (61)  sdtasdt0(all_35_1, xl) = all_54_0 & aNaturalNumber0(all_35_1) =
% 22.33/3.86  |         all_54_1 & aNaturalNumber0(xl) = all_54_2 & $i(all_54_0) & ( ~
% 22.33/3.86  |           (all_54_1 = 0) |  ~ (all_54_2 = 0) | all_54_0 = all_35_0)
% 22.33/3.86  | 
% 22.33/3.86  | ALPHA: (61) implies:
% 22.33/3.86  |   (62)  aNaturalNumber0(xl) = all_54_2
% 22.33/3.86  |   (63)  sdtasdt0(all_35_1, xl) = all_54_0
% 22.33/3.86  | 
% 22.33/3.86  | DELTA: instantiating (33) with fresh symbols all_56_0, all_56_1, all_56_2
% 22.33/3.86  |        gives:
% 22.33/3.86  |   (64)  sdtasdt0(all_35_4, all_35_5) = all_56_0 & aNaturalNumber0(all_35_4) =
% 22.33/3.86  |         all_56_1 & aNaturalNumber0(all_35_5) = all_56_2 & $i(all_56_0) & ( ~
% 22.33/3.86  |           (all_56_1 = 0) |  ~ (all_56_2 = 0) | all_56_0 = all_35_3)
% 22.33/3.86  | 
% 22.33/3.86  | ALPHA: (64) implies:
% 22.33/3.86  |   (65)  aNaturalNumber0(all_35_4) = all_56_1
% 22.33/3.86  |   (66)  sdtasdt0(all_35_4, all_35_5) = all_56_0
% 22.33/3.86  | 
% 22.33/3.86  | DELTA: instantiating (32) with fresh symbols all_58_0, all_58_1, all_58_2,
% 22.33/3.86  |        all_58_3, all_58_4 gives:
% 22.33/3.86  |   (67)  sdtasdt0(xn, all_35_4) = all_58_1 & sdtasdt0(xl, all_58_1) = all_58_0
% 22.33/3.86  |         & aNaturalNumber0(all_35_4) = all_58_2 & aNaturalNumber0(xn) =
% 22.33/3.86  |         all_58_3 & aNaturalNumber0(xl) = all_58_4 & $i(all_58_0) &
% 22.33/3.86  |         $i(all_58_1) & ( ~ (all_58_2 = 0) |  ~ (all_58_3 = 0) |  ~ (all_58_4 =
% 22.33/3.86  |             0) | all_58_0 = all_35_3)
% 22.33/3.86  | 
% 22.33/3.86  | ALPHA: (67) implies:
% 22.33/3.86  |   (68)  $i(all_58_1)
% 22.33/3.86  |   (69)  aNaturalNumber0(xl) = all_58_4
% 22.33/3.86  |   (70)  aNaturalNumber0(xn) = all_58_3
% 22.33/3.86  |   (71)  aNaturalNumber0(all_35_4) = all_58_2
% 22.33/3.86  |   (72)  sdtasdt0(xl, all_58_1) = all_58_0
% 22.33/3.86  |   (73)  sdtasdt0(xn, all_35_4) = all_58_1
% 22.33/3.86  | 
% 22.33/3.86  | GROUND_INST: instantiating (11) with all_48_2, all_54_2, xl, simplifying with
% 22.33/3.86  |              (48), (62) gives:
% 22.33/3.86  |   (74)  all_54_2 = all_48_2
% 22.33/3.86  | 
% 22.33/3.86  | GROUND_INST: instantiating (11) with 0, all_58_4, xl, simplifying with (2),
% 22.33/3.86  |              (69) gives:
% 22.33/3.86  |   (75)  all_58_4 = 0
% 22.33/3.86  | 
% 22.33/3.86  | GROUND_INST: instantiating (11) with all_54_2, all_58_4, xl, simplifying with
% 22.33/3.86  |              (62), (69) gives:
% 22.33/3.87  |   (76)  all_58_4 = all_54_2
% 22.33/3.87  | 
% 22.33/3.87  | GROUND_INST: instantiating (11) with all_50_2, all_58_4, xl, simplifying with
% 22.33/3.87  |              (52), (69) gives:
% 22.33/3.87  |   (77)  all_58_4 = all_50_2
% 22.33/3.87  | 
% 22.33/3.87  | GROUND_INST: instantiating (11) with all_46_2, all_58_4, xl, simplifying with
% 22.33/3.87  |              (46), (69) gives:
% 22.33/3.87  |   (78)  all_58_4 = all_46_2
% 22.33/3.87  | 
% 22.33/3.87  | GROUND_INST: instantiating (11) with 0, all_52_1, xm, simplifying with (3),
% 22.33/3.87  |              (57) gives:
% 22.33/3.87  |   (79)  all_52_1 = 0
% 22.33/3.87  | 
% 22.33/3.87  | GROUND_INST: instantiating (11) with all_44_1, all_52_1, xm, simplifying with
% 22.33/3.87  |              (41), (57) gives:
% 22.33/3.87  |   (80)  all_52_1 = all_44_1
% 22.33/3.87  | 
% 22.33/3.87  | GROUND_INST: instantiating (11) with 0, all_50_1, xn, simplifying with (6),
% 22.33/3.87  |              (53) gives:
% 22.33/3.87  |   (81)  all_50_1 = 0
% 22.33/3.87  | 
% 22.33/3.87  | GROUND_INST: instantiating (11) with all_52_2, all_58_3, xn, simplifying with
% 22.33/3.87  |              (58), (70) gives:
% 22.33/3.87  |   (82)  all_58_3 = all_52_2
% 22.33/3.87  | 
% 22.33/3.87  | GROUND_INST: instantiating (11) with all_50_1, all_58_3, xn, simplifying with
% 22.33/3.87  |              (53), (70) gives:
% 22.33/3.87  |   (83)  all_58_3 = all_50_1
% 22.33/3.87  | 
% 22.33/3.87  | GROUND_INST: instantiating (11) with all_48_1, all_58_3, xn, simplifying with
% 22.33/3.87  |              (49), (70) gives:
% 22.33/3.87  |   (84)  all_58_3 = all_48_1
% 22.33/3.87  | 
% 22.33/3.87  | GROUND_INST: instantiating (11) with all_44_2, all_58_3, xn, simplifying with
% 22.33/3.87  |              (42), (70) gives:
% 22.33/3.87  |   (85)  all_58_3 = all_44_2
% 22.33/3.87  | 
% 22.33/3.87  | GROUND_INST: instantiating (11) with all_56_1, all_58_2, all_35_4, simplifying
% 22.33/3.87  |              with (65), (71) gives:
% 22.33/3.87  |   (86)  all_58_2 = all_56_1
% 22.33/3.87  | 
% 22.33/3.87  | GROUND_INST: instantiating (11) with all_42_1, all_58_2, all_35_4, simplifying
% 22.33/3.87  |              with (39), (71) gives:
% 22.33/3.87  |   (87)  all_58_2 = all_42_1
% 22.33/3.87  | 
% 22.33/3.87  | COMBINE_EQS: (86), (87) imply:
% 22.33/3.87  |   (88)  all_56_1 = all_42_1
% 22.33/3.87  | 
% 22.33/3.87  | COMBINE_EQS: (82), (83) imply:
% 22.33/3.87  |   (89)  all_52_2 = all_50_1
% 22.33/3.87  | 
% 22.33/3.87  | COMBINE_EQS: (82), (84) imply:
% 22.33/3.87  |   (90)  all_52_2 = all_48_1
% 22.33/3.87  | 
% 22.33/3.87  | COMBINE_EQS: (82), (85) imply:
% 22.33/3.87  |   (91)  all_52_2 = all_44_2
% 22.33/3.87  | 
% 22.33/3.87  | COMBINE_EQS: (77), (78) imply:
% 22.33/3.87  |   (92)  all_50_2 = all_46_2
% 22.33/3.87  | 
% 22.33/3.87  | COMBINE_EQS: (75), (77) imply:
% 22.33/3.87  |   (93)  all_50_2 = 0
% 22.33/3.87  | 
% 22.33/3.87  | COMBINE_EQS: (76), (77) imply:
% 22.33/3.87  |   (94)  all_54_2 = all_50_2
% 22.33/3.87  | 
% 22.33/3.87  | SIMP: (94) implies:
% 22.33/3.87  |   (95)  all_54_2 = all_50_2
% 22.33/3.87  | 
% 22.33/3.87  | COMBINE_EQS: (74), (95) imply:
% 22.33/3.87  |   (96)  all_50_2 = all_48_2
% 22.33/3.87  | 
% 22.33/3.87  | SIMP: (96) implies:
% 22.33/3.87  |   (97)  all_50_2 = all_48_2
% 22.33/3.87  | 
% 22.33/3.87  | COMBINE_EQS: (79), (80) imply:
% 22.33/3.87  |   (98)  all_44_1 = 0
% 22.33/3.87  | 
% 22.33/3.87  | COMBINE_EQS: (90), (91) imply:
% 22.33/3.87  |   (99)  all_48_1 = all_44_2
% 22.33/3.87  | 
% 22.33/3.87  | COMBINE_EQS: (89), (90) imply:
% 22.33/3.87  |   (100)  all_50_1 = all_48_1
% 22.33/3.87  | 
% 22.33/3.87  | SIMP: (100) implies:
% 22.33/3.87  |   (101)  all_50_1 = all_48_1
% 22.33/3.87  | 
% 22.33/3.87  | COMBINE_EQS: (81), (101) imply:
% 22.33/3.87  |   (102)  all_48_1 = 0
% 22.33/3.87  | 
% 22.33/3.87  | SIMP: (102) implies:
% 22.33/3.87  |   (103)  all_48_1 = 0
% 22.33/3.87  | 
% 22.33/3.87  | COMBINE_EQS: (92), (97) imply:
% 22.33/3.87  |   (104)  all_48_2 = all_46_2
% 22.33/3.87  | 
% 22.33/3.87  | COMBINE_EQS: (93), (97) imply:
% 22.33/3.87  |   (105)  all_48_2 = 0
% 22.33/3.87  | 
% 22.33/3.87  | COMBINE_EQS: (99), (103) imply:
% 22.33/3.87  |   (106)  all_44_2 = 0
% 22.33/3.87  | 
% 22.33/3.87  | COMBINE_EQS: (104), (105) imply:
% 22.33/3.87  |   (107)  all_46_2 = 0
% 22.33/3.87  | 
% 22.33/3.87  | SIMP: (107) implies:
% 22.33/3.87  |   (108)  all_46_2 = 0
% 22.33/3.87  | 
% 22.33/3.87  | COMBINE_EQS: (90), (103) imply:
% 22.33/3.87  |   (109)  all_52_2 = 0
% 22.33/3.87  | 
% 22.33/3.87  | BETA: splitting (44) gives:
% 22.33/3.87  | 
% 22.33/3.87  | Case 1:
% 22.33/3.87  | | 
% 22.33/3.87  | |   (110)   ~ (all_44_1 = 0)
% 22.33/3.87  | | 
% 22.33/3.87  | | REDUCE: (98), (110) imply:
% 22.33/3.87  | |   (111)  $false
% 22.33/3.87  | | 
% 22.33/3.87  | | CLOSE: (111) is inconsistent.
% 22.33/3.87  | | 
% 22.33/3.87  | Case 2:
% 22.33/3.87  | | 
% 22.33/3.87  | |   (112)   ~ (all_44_2 = 0) | all_44_0 = 0
% 22.33/3.88  | | 
% 22.33/3.88  | | BETA: splitting (60) gives:
% 22.33/3.88  | | 
% 22.33/3.88  | | Case 1:
% 22.33/3.88  | | | 
% 22.33/3.88  | | |   (113)   ~ (all_52_1 = 0)
% 22.33/3.88  | | | 
% 22.33/3.88  | | | REDUCE: (79), (113) imply:
% 22.33/3.88  | | |   (114)  $false
% 22.33/3.88  | | | 
% 22.33/3.88  | | | CLOSE: (114) is inconsistent.
% 22.33/3.88  | | | 
% 22.33/3.88  | | Case 2:
% 22.33/3.88  | | | 
% 22.33/3.88  | | |   (115)   ~ (all_52_2 = 0) | all_52_0 = all_35_2
% 22.33/3.88  | | | 
% 22.33/3.88  | | | BETA: splitting (36) gives:
% 22.33/3.88  | | | 
% 22.33/3.88  | | | Case 1:
% 22.33/3.88  | | | | 
% 22.33/3.88  | | | |   (116)  xl = sz00
% 22.33/3.88  | | | | 
% 22.33/3.88  | | | | REDUCE: (4), (116) imply:
% 22.33/3.88  | | | |   (117)  $false
% 22.33/3.88  | | | | 
% 22.33/3.88  | | | | CLOSE: (117) is inconsistent.
% 22.33/3.88  | | | | 
% 22.33/3.88  | | | Case 2:
% 22.33/3.88  | | | | 
% 22.33/3.88  | | | |   (118)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] : (doDivides0(xl,
% 22.33/3.88  | | | |              xm) = v2 & aNaturalNumber0(xm) = v1 & aNaturalNumber0(xl) =
% 22.33/3.88  | | | |            v0 & ( ~ (v2 = 0) |  ~ (v1 = 0) |  ~ (v0 = 0))) | ( ! [v0:
% 22.33/3.88  | | | |              any] : (v0 = all_35_4 |  ~ (sdtasdt0(xl, v0) = xm) |  ~
% 22.33/3.88  | | | |              $i(v0) |  ? [v1: int] : ( ~ (v1 = 0) & aNaturalNumber0(v0)
% 22.33/3.88  | | | |                = v1)) &  ! [v0: $i] : ( ~ (sdtasdt0(xl, all_35_4) = v0)
% 22.33/3.88  | | | |              |  ~ $i(all_35_4) | (v0 = xm & aNaturalNumber0(all_35_4) =
% 22.33/3.88  | | | |                0)))
% 22.33/3.88  | | | | 
% 22.33/3.88  | | | | BETA: splitting (35) gives:
% 22.33/3.88  | | | | 
% 22.33/3.88  | | | | Case 1:
% 22.33/3.88  | | | | | 
% 22.33/3.88  | | | | |   (119)   ? [v0: any] :  ? [v1: any] : (aNaturalNumber0(xm) = v1 &
% 22.33/3.88  | | | | |            aNaturalNumber0(xl) = v0 & ( ~ (v1 = 0) |  ~ (v0 = 0)))
% 22.33/3.88  | | | | | 
% 22.33/3.88  | | | | | DELTA: instantiating (119) with fresh symbols all_86_0, all_86_1
% 22.33/3.88  | | | | |        gives:
% 22.33/3.88  | | | | |   (120)  aNaturalNumber0(xm) = all_86_0 & aNaturalNumber0(xl) =
% 22.33/3.88  | | | | |          all_86_1 & ( ~ (all_86_0 = 0) |  ~ (all_86_1 = 0))
% 22.33/3.88  | | | | | 
% 22.33/3.88  | | | | | ALPHA: (120) implies:
% 22.33/3.88  | | | | |   (121)  aNaturalNumber0(xl) = all_86_1
% 22.33/3.88  | | | | |   (122)  aNaturalNumber0(xm) = all_86_0
% 22.33/3.88  | | | | |   (123)   ~ (all_86_0 = 0) |  ~ (all_86_1 = 0)
% 22.33/3.88  | | | | | 
% 22.33/3.88  | | | | | GROUND_INST: instantiating (11) with 0, all_86_1, xl, simplifying with
% 22.33/3.88  | | | | |              (2), (121) gives:
% 22.33/3.88  | | | | |   (124)  all_86_1 = 0
% 22.33/3.88  | | | | | 
% 22.33/3.88  | | | | | GROUND_INST: instantiating (11) with 0, all_86_0, xm, simplifying with
% 22.33/3.88  | | | | |              (3), (122) gives:
% 22.33/3.88  | | | | |   (125)  all_86_0 = 0
% 22.33/3.88  | | | | | 
% 22.33/3.88  | | | | | BETA: splitting (123) gives:
% 22.33/3.88  | | | | | 
% 22.33/3.88  | | | | | Case 1:
% 22.33/3.88  | | | | | | 
% 22.33/3.88  | | | | | |   (126)   ~ (all_86_0 = 0)
% 22.33/3.88  | | | | | | 
% 22.33/3.88  | | | | | | REDUCE: (125), (126) imply:
% 22.33/3.88  | | | | | |   (127)  $false
% 22.33/3.88  | | | | | | 
% 22.33/3.88  | | | | | | CLOSE: (127) is inconsistent.
% 22.33/3.88  | | | | | | 
% 22.33/3.88  | | | | | Case 2:
% 22.33/3.88  | | | | | | 
% 22.33/3.88  | | | | | |   (128)   ~ (all_86_1 = 0)
% 22.33/3.88  | | | | | | 
% 22.33/3.88  | | | | | | REDUCE: (124), (128) imply:
% 22.33/3.88  | | | | | |   (129)  $false
% 22.33/3.88  | | | | | | 
% 22.33/3.88  | | | | | | CLOSE: (129) is inconsistent.
% 22.33/3.88  | | | | | | 
% 22.33/3.88  | | | | | End of split
% 22.33/3.88  | | | | | 
% 22.33/3.88  | | | | Case 2:
% 22.33/3.88  | | | | | 
% 22.33/3.88  | | | | |   (130)   ? [v0: $i] : (sdtasdt0(xl, v0) = xm & aNaturalNumber0(v0) =
% 22.33/3.88  | | | | |            0 & $i(v0))
% 22.33/3.88  | | | | | 
% 22.33/3.88  | | | | | DELTA: instantiating (130) with fresh symbol all_86_0 gives:
% 22.33/3.88  | | | | |   (131)  sdtasdt0(xl, all_86_0) = xm & aNaturalNumber0(all_86_0) = 0 &
% 22.33/3.88  | | | | |          $i(all_86_0)
% 22.33/3.88  | | | | | 
% 22.33/3.88  | | | | | ALPHA: (131) implies:
% 22.33/3.88  | | | | |   (132)  $i(all_86_0)
% 22.33/3.88  | | | | |   (133)  aNaturalNumber0(all_86_0) = 0
% 22.33/3.88  | | | | |   (134)  sdtasdt0(xl, all_86_0) = xm
% 22.33/3.88  | | | | | 
% 22.33/3.88  | | | | | BETA: splitting (112) gives:
% 22.33/3.88  | | | | | 
% 22.33/3.88  | | | | | Case 1:
% 22.33/3.88  | | | | | | 
% 22.33/3.88  | | | | | |   (135)   ~ (all_44_2 = 0)
% 22.33/3.88  | | | | | | 
% 22.33/3.88  | | | | | | REDUCE: (106), (135) imply:
% 22.33/3.88  | | | | | |   (136)  $false
% 22.33/3.88  | | | | | | 
% 22.33/3.88  | | | | | | CLOSE: (136) is inconsistent.
% 22.33/3.88  | | | | | | 
% 22.33/3.88  | | | | | Case 2:
% 22.33/3.88  | | | | | | 
% 22.33/3.88  | | | | | |   (137)  all_44_0 = 0
% 22.33/3.88  | | | | | | 
% 22.33/3.88  | | | | | | REDUCE: (43), (137) imply:
% 22.33/3.88  | | | | | |   (138)  aNaturalNumber0(all_35_2) = 0
% 22.33/3.88  | | | | | | 
% 22.54/3.88  | | | | | | BETA: splitting (118) gives:
% 22.54/3.88  | | | | | | 
% 22.54/3.88  | | | | | | Case 1:
% 22.54/3.88  | | | | | | | 
% 22.54/3.88  | | | | | | |   (139)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :
% 22.54/3.88  | | | | | | |          (doDivides0(xl, xm) = v2 & aNaturalNumber0(xm) = v1 &
% 22.54/3.88  | | | | | | |            aNaturalNumber0(xl) = v0 & ( ~ (v2 = 0) |  ~ (v1 = 0) |
% 22.54/3.88  | | | | | | |               ~ (v0 = 0)))
% 22.54/3.88  | | | | | | | 
% 22.54/3.88  | | | | | | | DELTA: instantiating (139) with fresh symbols all_94_0, all_94_1,
% 22.54/3.88  | | | | | | |        all_94_2 gives:
% 22.54/3.88  | | | | | | |   (140)  doDivides0(xl, xm) = all_94_0 & aNaturalNumber0(xm) =
% 22.54/3.88  | | | | | | |          all_94_1 & aNaturalNumber0(xl) = all_94_2 & ( ~ (all_94_0
% 22.54/3.88  | | | | | | |              = 0) |  ~ (all_94_1 = 0) |  ~ (all_94_2 = 0))
% 22.54/3.88  | | | | | | | 
% 22.54/3.88  | | | | | | | ALPHA: (140) implies:
% 22.54/3.88  | | | | | | |   (141)  aNaturalNumber0(xl) = all_94_2
% 22.54/3.88  | | | | | | |   (142)  aNaturalNumber0(xm) = all_94_1
% 22.54/3.88  | | | | | | |   (143)  doDivides0(xl, xm) = all_94_0
% 22.54/3.88  | | | | | | |   (144)   ~ (all_94_0 = 0) |  ~ (all_94_1 = 0) |  ~ (all_94_2 = 0)
% 22.54/3.88  | | | | | | | 
% 22.54/3.88  | | | | | | | GROUND_INST: instantiating (11) with 0, all_94_2, xl, simplifying
% 22.54/3.88  | | | | | | |              with (2), (141) gives:
% 22.54/3.88  | | | | | | |   (145)  all_94_2 = 0
% 22.54/3.88  | | | | | | | 
% 22.54/3.88  | | | | | | | GROUND_INST: instantiating (11) with 0, all_94_1, xm, simplifying
% 22.54/3.88  | | | | | | |              with (3), (142) gives:
% 22.54/3.89  | | | | | | |   (146)  all_94_1 = 0
% 22.54/3.89  | | | | | | | 
% 22.54/3.89  | | | | | | | GROUND_INST: instantiating (13) with 0, all_94_0, xm, xl,
% 22.54/3.89  | | | | | | |              simplifying with (5), (143) gives:
% 22.54/3.89  | | | | | | |   (147)  all_94_0 = 0
% 22.54/3.89  | | | | | | | 
% 22.54/3.89  | | | | | | | BETA: splitting (144) gives:
% 22.54/3.89  | | | | | | | 
% 22.54/3.89  | | | | | | | Case 1:
% 22.54/3.89  | | | | | | | | 
% 22.54/3.89  | | | | | | | |   (148)   ~ (all_94_0 = 0)
% 22.54/3.89  | | | | | | | | 
% 22.54/3.89  | | | | | | | | REDUCE: (147), (148) imply:
% 22.54/3.89  | | | | | | | |   (149)  $false
% 22.54/3.89  | | | | | | | | 
% 22.54/3.89  | | | | | | | | CLOSE: (149) is inconsistent.
% 22.54/3.89  | | | | | | | | 
% 22.54/3.89  | | | | | | | Case 2:
% 22.54/3.89  | | | | | | | | 
% 22.54/3.89  | | | | | | | |   (150)   ~ (all_94_1 = 0) |  ~ (all_94_2 = 0)
% 22.54/3.89  | | | | | | | | 
% 22.54/3.89  | | | | | | | | BETA: splitting (150) gives:
% 22.54/3.89  | | | | | | | | 
% 22.54/3.89  | | | | | | | | Case 1:
% 22.54/3.89  | | | | | | | | | 
% 22.54/3.89  | | | | | | | | |   (151)   ~ (all_94_1 = 0)
% 22.54/3.89  | | | | | | | | | 
% 22.54/3.89  | | | | | | | | | REDUCE: (146), (151) imply:
% 22.54/3.89  | | | | | | | | |   (152)  $false
% 22.54/3.89  | | | | | | | | | 
% 22.54/3.89  | | | | | | | | | CLOSE: (152) is inconsistent.
% 22.54/3.89  | | | | | | | | | 
% 22.54/3.89  | | | | | | | | Case 2:
% 22.54/3.89  | | | | | | | | | 
% 22.54/3.89  | | | | | | | | |   (153)   ~ (all_94_2 = 0)
% 22.54/3.89  | | | | | | | | | 
% 22.54/3.89  | | | | | | | | | REDUCE: (145), (153) imply:
% 22.54/3.89  | | | | | | | | |   (154)  $false
% 22.54/3.89  | | | | | | | | | 
% 22.54/3.89  | | | | | | | | | CLOSE: (154) is inconsistent.
% 22.54/3.89  | | | | | | | | | 
% 22.54/3.89  | | | | | | | | End of split
% 22.54/3.89  | | | | | | | | 
% 22.54/3.89  | | | | | | | End of split
% 22.54/3.89  | | | | | | | 
% 22.54/3.89  | | | | | | Case 2:
% 22.54/3.89  | | | | | | | 
% 22.54/3.89  | | | | | | |   (155)   ! [v0: any] : (v0 = all_35_4 |  ~ (sdtasdt0(xl, v0) =
% 22.54/3.89  | | | | | | |              xm) |  ~ $i(v0) |  ? [v1: int] : ( ~ (v1 = 0) &
% 22.54/3.89  | | | | | | |              aNaturalNumber0(v0) = v1)) &  ! [v0: $i] : ( ~
% 22.54/3.89  | | | | | | |            (sdtasdt0(xl, all_35_4) = v0) |  ~ $i(all_35_4) | (v0 =
% 22.54/3.89  | | | | | | |              xm & aNaturalNumber0(all_35_4) = 0))
% 22.54/3.89  | | | | | | | 
% 22.54/3.89  | | | | | | | ALPHA: (155) implies:
% 22.54/3.89  | | | | | | |   (156)   ! [v0: any] : (v0 = all_35_4 |  ~ (sdtasdt0(xl, v0) =
% 22.54/3.89  | | | | | | |              xm) |  ~ $i(v0) |  ? [v1: int] : ( ~ (v1 = 0) &
% 22.54/3.89  | | | | | | |              aNaturalNumber0(v0) = v1))
% 22.54/3.89  | | | | | | | 
% 22.54/3.89  | | | | | | | BETA: splitting (115) gives:
% 22.54/3.89  | | | | | | | 
% 22.54/3.89  | | | | | | | Case 1:
% 22.54/3.89  | | | | | | | | 
% 22.54/3.89  | | | | | | | |   (157)   ~ (all_52_2 = 0)
% 22.54/3.89  | | | | | | | | 
% 22.54/3.89  | | | | | | | | REDUCE: (109), (157) imply:
% 22.54/3.89  | | | | | | | |   (158)  $false
% 22.54/3.89  | | | | | | | | 
% 22.54/3.89  | | | | | | | | CLOSE: (158) is inconsistent.
% 22.54/3.89  | | | | | | | | 
% 22.54/3.89  | | | | | | | Case 2:
% 22.54/3.89  | | | | | | | | 
% 22.54/3.89  | | | | | | | |   (159)  all_52_0 = all_35_2
% 22.54/3.89  | | | | | | | | 
% 22.54/3.89  | | | | | | | | REDUCE: (59), (159) imply:
% 22.54/3.89  | | | | | | | |   (160)  sdtasdt0(xm, xn) = all_35_2
% 22.54/3.89  | | | | | | | | 
% 22.54/3.89  | | | | | | | | BETA: splitting (55) gives:
% 22.54/3.89  | | | | | | | | 
% 22.54/3.89  | | | | | | | | Case 1:
% 22.54/3.89  | | | | | | | | | 
% 22.54/3.89  | | | | | | | | |   (161)   ~ (all_50_1 = 0)
% 22.54/3.89  | | | | | | | | | 
% 22.54/3.89  | | | | | | | | | REDUCE: (81), (161) imply:
% 22.54/3.89  | | | | | | | | |   (162)  $false
% 22.54/3.89  | | | | | | | | | 
% 22.54/3.89  | | | | | | | | | CLOSE: (162) is inconsistent.
% 22.54/3.89  | | | | | | | | | 
% 22.54/3.89  | | | | | | | | Case 2:
% 22.54/3.89  | | | | | | | | | 
% 22.54/3.89  | | | | | | | | |   (163)   ~ (all_50_2 = 0) | all_50_0 = all_35_5
% 22.54/3.89  | | | | | | | | | 
% 22.54/3.89  | | | | | | | | | BETA: splitting (163) gives:
% 22.54/3.89  | | | | | | | | | 
% 22.54/3.89  | | | | | | | | | Case 1:
% 22.54/3.89  | | | | | | | | | | 
% 22.54/3.89  | | | | | | | | | |   (164)   ~ (all_50_2 = 0)
% 22.54/3.89  | | | | | | | | | | 
% 22.54/3.89  | | | | | | | | | | REDUCE: (93), (164) imply:
% 22.54/3.89  | | | | | | | | | |   (165)  $false
% 22.54/3.89  | | | | | | | | | | 
% 22.54/3.89  | | | | | | | | | | CLOSE: (165) is inconsistent.
% 22.54/3.89  | | | | | | | | | | 
% 22.54/3.89  | | | | | | | | | Case 2:
% 22.54/3.89  | | | | | | | | | | 
% 22.54/3.89  | | | | | | | | | |   (166)  all_50_0 = all_35_5
% 22.54/3.89  | | | | | | | | | | 
% 22.54/3.89  | | | | | | | | | | REDUCE: (54), (166) imply:
% 22.54/3.89  | | | | | | | | | |   (167)  sdtasdt0(xn, xl) = all_35_5
% 22.54/3.89  | | | | | | | | | | 
% 22.54/3.89  | | | | | | | | | | GROUND_INST: instantiating (mMulComm) with xl, all_58_1,
% 22.54/3.89  | | | | | | | | | |              all_58_0, simplifying with (7), (68), (72) gives:
% 22.54/3.89  | | | | | | | | | |   (168)   ? [v0: any] :  ? [v1: any] :  ? [v2: $i] :
% 22.54/3.89  | | | | | | | | | |          (sdtasdt0(all_58_1, xl) = v2 &
% 22.54/3.89  | | | | | | | | | |            aNaturalNumber0(all_58_1) = v1 &
% 22.54/3.89  | | | | | | | | | |            aNaturalNumber0(xl) = v0 & $i(v2) & ( ~ (v1 = 0)
% 22.54/3.89  | | | | | | | | | |              |  ~ (v0 = 0) | v2 = all_58_0))
% 22.54/3.89  | | | | | | | | | | 
% 22.54/3.89  | | | | | | | | | | GROUND_INST: instantiating (mSortsB_02) with xl, all_58_1,
% 22.54/3.89  | | | | | | | | | |              all_58_0, simplifying with (7), (68), (72) gives:
% 22.54/3.89  | | | | | | | | | |   (169)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :
% 22.54/3.89  | | | | | | | | | |          (aNaturalNumber0(all_58_0) = v2 &
% 22.54/3.89  | | | | | | | | | |            aNaturalNumber0(all_58_1) = v1 &
% 22.54/3.89  | | | | | | | | | |            aNaturalNumber0(xl) = v0 & ( ~ (v1 = 0) |  ~ (v0
% 22.54/3.89  | | | | | | | | | |                = 0) | v2 = 0))
% 22.54/3.89  | | | | | | | | | | 
% 22.54/3.89  | | | | | | | | | | GROUND_INST: instantiating (156) with all_86_0, simplifying
% 22.54/3.89  | | | | | | | | | |              with (132), (134) gives:
% 22.54/3.89  | | | | | | | | | |   (170)  all_86_0 = all_35_4 |  ? [v0: int] : ( ~ (v0 = 0) &
% 22.54/3.89  | | | | | | | | | |            aNaturalNumber0(all_86_0) = v0)
% 22.54/3.89  | | | | | | | | | | 
% 22.54/3.89  | | | | | | | | | | GROUND_INST: instantiating (mMulComm) with xl, all_86_0, xm,
% 22.54/3.89  | | | | | | | | | |              simplifying with (7), (132), (134) gives:
% 22.54/3.89  | | | | | | | | | |   (171)   ? [v0: any] :  ? [v1: any] :  ? [v2: $i] :
% 22.54/3.89  | | | | | | | | | |          (sdtasdt0(all_86_0, xl) = v2 &
% 22.54/3.89  | | | | | | | | | |            aNaturalNumber0(all_86_0) = v1 &
% 22.54/3.89  | | | | | | | | | |            aNaturalNumber0(xl) = v0 & $i(v2) & ( ~ (v1 = 0)
% 22.54/3.89  | | | | | | | | | |              |  ~ (v0 = 0) | v2 = xm))
% 22.54/3.89  | | | | | | | | | | 
% 22.54/3.89  | | | | | | | | | | GROUND_INST: instantiating (mMulAsso) with xl, all_86_0, xn,
% 22.54/3.89  | | | | | | | | | |              xm, all_35_2, simplifying with (7), (9), (132),
% 22.54/3.89  | | | | | | | | | |              (134), (160) gives:
% 22.54/3.89  | | | | | | | | | |   (172)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :  ?
% 22.54/3.89  | | | | | | | | | |          [v3: $i] :  ? [v4: $i] : (sdtasdt0(all_86_0, xn) =
% 22.54/3.89  | | | | | | | | | |            v3 & sdtasdt0(xl, v3) = v4 &
% 22.54/3.89  | | | | | | | | | |            aNaturalNumber0(all_86_0) = v1 &
% 22.54/3.89  | | | | | | | | | |            aNaturalNumber0(xn) = v2 & aNaturalNumber0(xl) =
% 22.54/3.89  | | | | | | | | | |            v0 & $i(v4) & $i(v3) & ( ~ (v2 = 0) |  ~ (v1 = 0)
% 22.54/3.89  | | | | | | | | | |              |  ~ (v0 = 0) | v4 = all_35_2))
% 22.54/3.89  | | | | | | | | | | 
% 22.54/3.89  | | | | | | | | | | GROUND_INST: instantiating (mMulAsso) with xn, xl, all_35_4,
% 22.54/3.89  | | | | | | | | | |              all_35_5, all_35_3, simplifying with (7), (9),
% 22.54/3.89  | | | | | | | | | |              (17), (23), (167) gives:
% 22.54/3.89  | | | | | | | | | |   (173)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :  ?
% 22.54/3.89  | | | | | | | | | |          [v3: $i] :  ? [v4: $i] : (sdtasdt0(xn, v3) = v4 &
% 22.54/3.89  | | | | | | | | | |            sdtasdt0(xl, all_35_4) = v3 &
% 22.54/3.89  | | | | | | | | | |            aNaturalNumber0(all_35_4) = v2 &
% 22.54/3.89  | | | | | | | | | |            aNaturalNumber0(xn) = v0 & aNaturalNumber0(xl) =
% 22.54/3.89  | | | | | | | | | |            v1 & $i(v4) & $i(v3) & ( ~ (v2 = 0) |  ~ (v1 = 0)
% 22.54/3.89  | | | | | | | | | |              |  ~ (v0 = 0) | v4 = all_35_3))
% 22.54/3.89  | | | | | | | | | | 
% 22.54/3.89  | | | | | | | | | | GROUND_INST: instantiating (mMulComm) with xn, all_35_4,
% 22.54/3.89  | | | | | | | | | |              all_58_1, simplifying with (9), (17), (73) gives:
% 22.54/3.89  | | | | | | | | | |   (174)   ? [v0: any] :  ? [v1: any] :  ? [v2: $i] :
% 22.54/3.89  | | | | | | | | | |          (sdtasdt0(all_35_4, xn) = v2 &
% 22.54/3.89  | | | | | | | | | |            aNaturalNumber0(all_35_4) = v1 &
% 22.54/3.89  | | | | | | | | | |            aNaturalNumber0(xn) = v0 & $i(v2) & ( ~ (v1 = 0)
% 22.54/3.89  | | | | | | | | | |              |  ~ (v0 = 0) | v2 = all_58_1))
% 22.54/3.89  | | | | | | | | | | 
% 22.54/3.89  | | | | | | | | | | GROUND_INST: instantiating (mSortsB_02) with xn, all_35_4,
% 22.54/3.89  | | | | | | | | | |              all_58_1, simplifying with (9), (17), (73) gives:
% 22.54/3.90  | | | | | | | | | |   (175)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :
% 22.54/3.90  | | | | | | | | | |          (aNaturalNumber0(all_58_1) = v2 &
% 22.54/3.90  | | | | | | | | | |            aNaturalNumber0(all_35_4) = v1 &
% 22.54/3.90  | | | | | | | | | |            aNaturalNumber0(xn) = v0 & ( ~ (v1 = 0) |  ~ (v0
% 22.54/3.90  | | | | | | | | | |                = 0) | v2 = 0))
% 22.54/3.90  | | | | | | | | | | 
% 22.54/3.90  | | | | | | | | | | GROUND_INST: instantiating (mMulComm) with all_35_4, all_35_5,
% 22.54/3.90  | | | | | | | | | |              all_56_0, simplifying with (16), (17), (66) gives:
% 22.54/3.90  | | | | | | | | | |   (176)   ? [v0: any] :  ? [v1: any] :  ? [v2: $i] :
% 22.54/3.90  | | | | | | | | | |          (sdtasdt0(all_35_5, all_35_4) = v2 &
% 22.54/3.90  | | | | | | | | | |            aNaturalNumber0(all_35_4) = v0 &
% 22.54/3.90  | | | | | | | | | |            aNaturalNumber0(all_35_5) = v1 & $i(v2) & ( ~ (v1
% 22.54/3.90  | | | | | | | | | |                = 0) |  ~ (v0 = 0) | v2 = all_56_0))
% 22.54/3.90  | | | | | | | | | | 
% 22.54/3.90  | | | | | | | | | | GROUND_INST: instantiating (mSortsB_02) with all_35_4,
% 22.54/3.90  | | | | | | | | | |              all_35_5, all_56_0, simplifying with (16), (17),
% 22.54/3.90  | | | | | | | | | |              (66) gives:
% 22.54/3.90  | | | | | | | | | |   (177)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :
% 22.54/3.90  | | | | | | | | | |          (aNaturalNumber0(all_56_0) = v2 &
% 22.54/3.90  | | | | | | | | | |            aNaturalNumber0(all_35_4) = v0 &
% 22.54/3.90  | | | | | | | | | |            aNaturalNumber0(all_35_5) = v1 & ( ~ (v1 = 0) | 
% 22.54/3.90  | | | | | | | | | |              ~ (v0 = 0) | v2 = 0))
% 22.54/3.90  | | | | | | | | | | 
% 22.54/3.90  | | | | | | | | | | GROUND_INST: instantiating (mMulComm) with all_35_1, xl,
% 22.54/3.90  | | | | | | | | | |              all_54_0, simplifying with (7), (19), (63) gives:
% 22.54/3.90  | | | | | | | | | |   (178)   ? [v0: any] :  ? [v1: any] :  ? [v2: $i] :
% 22.54/3.90  | | | | | | | | | |          (sdtasdt0(xl, all_35_1) = v2 &
% 22.54/3.90  | | | | | | | | | |            aNaturalNumber0(all_35_1) = v0 &
% 22.54/3.90  | | | | | | | | | |            aNaturalNumber0(xl) = v1 & $i(v2) & ( ~ (v1 = 0)
% 22.54/3.90  | | | | | | | | | |              |  ~ (v0 = 0) | v2 = all_54_0))
% 22.54/3.90  | | | | | | | | | | 
% 22.54/3.90  | | | | | | | | | | GROUND_INST: instantiating (mSortsB_02) with all_35_1, xl,
% 22.54/3.90  | | | | | | | | | |              all_54_0, simplifying with (7), (19), (63) gives:
% 22.54/3.90  | | | | | | | | | |   (179)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :
% 22.54/3.90  | | | | | | | | | |          (aNaturalNumber0(all_54_0) = v2 &
% 22.54/3.90  | | | | | | | | | |            aNaturalNumber0(all_35_1) = v0 &
% 22.54/3.90  | | | | | | | | | |            aNaturalNumber0(xl) = v1 & ( ~ (v1 = 0) |  ~ (v0
% 22.54/3.90  | | | | | | | | | |                = 0) | v2 = 0))
% 22.54/3.90  | | | | | | | | | | 
% 22.54/3.90  | | | | | | | | | | DELTA: instantiating (179) with fresh symbols all_119_0,
% 22.54/3.90  | | | | | | | | | |        all_119_1, all_119_2 gives:
% 22.54/3.90  | | | | | | | | | |   (180)  aNaturalNumber0(all_54_0) = all_119_0 &
% 22.54/3.90  | | | | | | | | | |          aNaturalNumber0(all_35_1) = all_119_2 &
% 22.54/3.90  | | | | | | | | | |          aNaturalNumber0(xl) = all_119_1 & ( ~ (all_119_1 =
% 22.54/3.90  | | | | | | | | | |              0) |  ~ (all_119_2 = 0) | all_119_0 = 0)
% 22.54/3.90  | | | | | | | | | | 
% 22.54/3.90  | | | | | | | | | | ALPHA: (180) implies:
% 22.54/3.90  | | | | | | | | | |   (181)  aNaturalNumber0(xl) = all_119_1
% 22.54/3.90  | | | | | | | | | | 
% 22.54/3.90  | | | | | | | | | | DELTA: instantiating (169) with fresh symbols all_121_0,
% 22.54/3.90  | | | | | | | | | |        all_121_1, all_121_2 gives:
% 22.54/3.90  | | | | | | | | | |   (182)  aNaturalNumber0(all_58_0) = all_121_0 &
% 22.54/3.90  | | | | | | | | | |          aNaturalNumber0(all_58_1) = all_121_1 &
% 22.54/3.90  | | | | | | | | | |          aNaturalNumber0(xl) = all_121_2 & ( ~ (all_121_1 =
% 22.54/3.90  | | | | | | | | | |              0) |  ~ (all_121_2 = 0) | all_121_0 = 0)
% 22.54/3.90  | | | | | | | | | | 
% 22.54/3.90  | | | | | | | | | | ALPHA: (182) implies:
% 22.54/3.90  | | | | | | | | | |   (183)  aNaturalNumber0(xl) = all_121_2
% 22.54/3.90  | | | | | | | | | |   (184)  aNaturalNumber0(all_58_1) = all_121_1
% 22.54/3.90  | | | | | | | | | | 
% 22.54/3.90  | | | | | | | | | | DELTA: instantiating (177) with fresh symbols all_123_0,
% 22.54/3.90  | | | | | | | | | |        all_123_1, all_123_2 gives:
% 22.54/3.90  | | | | | | | | | |   (185)  aNaturalNumber0(all_56_0) = all_123_0 &
% 22.54/3.90  | | | | | | | | | |          aNaturalNumber0(all_35_4) = all_123_2 &
% 22.54/3.90  | | | | | | | | | |          aNaturalNumber0(all_35_5) = all_123_1 & ( ~
% 22.54/3.90  | | | | | | | | | |            (all_123_1 = 0) |  ~ (all_123_2 = 0) | all_123_0
% 22.54/3.90  | | | | | | | | | |            = 0)
% 22.54/3.90  | | | | | | | | | | 
% 22.54/3.90  | | | | | | | | | | ALPHA: (185) implies:
% 22.54/3.90  | | | | | | | | | |   (186)  aNaturalNumber0(all_35_4) = all_123_2
% 22.54/3.90  | | | | | | | | | | 
% 22.54/3.90  | | | | | | | | | | DELTA: instantiating (175) with fresh symbols all_125_0,
% 22.54/3.90  | | | | | | | | | |        all_125_1, all_125_2 gives:
% 22.54/3.90  | | | | | | | | | |   (187)  aNaturalNumber0(all_58_1) = all_125_0 &
% 22.54/3.90  | | | | | | | | | |          aNaturalNumber0(all_35_4) = all_125_1 &
% 22.54/3.90  | | | | | | | | | |          aNaturalNumber0(xn) = all_125_2 & ( ~ (all_125_1 =
% 22.54/3.90  | | | | | | | | | |              0) |  ~ (all_125_2 = 0) | all_125_0 = 0)
% 22.54/3.90  | | | | | | | | | | 
% 22.54/3.90  | | | | | | | | | | ALPHA: (187) implies:
% 22.54/3.90  | | | | | | | | | |   (188)  aNaturalNumber0(xn) = all_125_2
% 22.54/3.90  | | | | | | | | | |   (189)  aNaturalNumber0(all_35_4) = all_125_1
% 22.54/3.90  | | | | | | | | | |   (190)  aNaturalNumber0(all_58_1) = all_125_0
% 22.54/3.90  | | | | | | | | | |   (191)   ~ (all_125_1 = 0) |  ~ (all_125_2 = 0) | all_125_0
% 22.54/3.90  | | | | | | | | | |          = 0
% 22.54/3.90  | | | | | | | | | | 
% 22.54/3.90  | | | | | | | | | | DELTA: instantiating (168) with fresh symbols all_127_0,
% 22.54/3.90  | | | | | | | | | |        all_127_1, all_127_2 gives:
% 22.54/3.90  | | | | | | | | | |   (192)  sdtasdt0(all_58_1, xl) = all_127_0 &
% 22.54/3.90  | | | | | | | | | |          aNaturalNumber0(all_58_1) = all_127_1 &
% 22.54/3.90  | | | | | | | | | |          aNaturalNumber0(xl) = all_127_2 & $i(all_127_0) & (
% 22.54/3.90  | | | | | | | | | |            ~ (all_127_1 = 0) |  ~ (all_127_2 = 0) |
% 22.54/3.90  | | | | | | | | | |            all_127_0 = all_58_0)
% 22.54/3.90  | | | | | | | | | | 
% 22.54/3.90  | | | | | | | | | | ALPHA: (192) implies:
% 22.54/3.90  | | | | | | | | | |   (193)  aNaturalNumber0(xl) = all_127_2
% 22.54/3.90  | | | | | | | | | |   (194)  aNaturalNumber0(all_58_1) = all_127_1
% 22.54/3.90  | | | | | | | | | | 
% 22.54/3.90  | | | | | | | | | | DELTA: instantiating (178) with fresh symbols all_129_0,
% 22.54/3.90  | | | | | | | | | |        all_129_1, all_129_2 gives:
% 22.54/3.90  | | | | | | | | | |   (195)  sdtasdt0(xl, all_35_1) = all_129_0 &
% 22.54/3.90  | | | | | | | | | |          aNaturalNumber0(all_35_1) = all_129_2 &
% 22.54/3.90  | | | | | | | | | |          aNaturalNumber0(xl) = all_129_1 & $i(all_129_0) & (
% 22.54/3.90  | | | | | | | | | |            ~ (all_129_1 = 0) |  ~ (all_129_2 = 0) |
% 22.54/3.90  | | | | | | | | | |            all_129_0 = all_54_0)
% 22.54/3.90  | | | | | | | | | | 
% 22.54/3.90  | | | | | | | | | | ALPHA: (195) implies:
% 22.54/3.90  | | | | | | | | | |   (196)  aNaturalNumber0(xl) = all_129_1
% 22.54/3.90  | | | | | | | | | |   (197)  sdtasdt0(xl, all_35_1) = all_129_0
% 22.54/3.90  | | | | | | | | | | 
% 22.54/3.90  | | | | | | | | | | DELTA: instantiating (176) with fresh symbols all_131_0,
% 22.54/3.90  | | | | | | | | | |        all_131_1, all_131_2 gives:
% 22.54/3.90  | | | | | | | | | |   (198)  sdtasdt0(all_35_5, all_35_4) = all_131_0 &
% 22.54/3.90  | | | | | | | | | |          aNaturalNumber0(all_35_4) = all_131_2 &
% 22.54/3.90  | | | | | | | | | |          aNaturalNumber0(all_35_5) = all_131_1 &
% 22.54/3.90  | | | | | | | | | |          $i(all_131_0) & ( ~ (all_131_1 = 0) |  ~ (all_131_2
% 22.54/3.90  | | | | | | | | | |              = 0) | all_131_0 = all_56_0)
% 22.54/3.90  | | | | | | | | | | 
% 22.54/3.90  | | | | | | | | | | ALPHA: (198) implies:
% 22.54/3.90  | | | | | | | | | |   (199)  aNaturalNumber0(all_35_4) = all_131_2
% 22.54/3.90  | | | | | | | | | | 
% 22.54/3.90  | | | | | | | | | | DELTA: instantiating (174) with fresh symbols all_133_0,
% 22.54/3.90  | | | | | | | | | |        all_133_1, all_133_2 gives:
% 22.54/3.90  | | | | | | | | | |   (200)  sdtasdt0(all_35_4, xn) = all_133_0 &
% 22.54/3.90  | | | | | | | | | |          aNaturalNumber0(all_35_4) = all_133_1 &
% 22.54/3.90  | | | | | | | | | |          aNaturalNumber0(xn) = all_133_2 & $i(all_133_0) & (
% 22.54/3.90  | | | | | | | | | |            ~ (all_133_1 = 0) |  ~ (all_133_2 = 0) |
% 22.54/3.90  | | | | | | | | | |            all_133_0 = all_58_1)
% 22.54/3.90  | | | | | | | | | | 
% 22.54/3.90  | | | | | | | | | | ALPHA: (200) implies:
% 22.54/3.90  | | | | | | | | | |   (201)  aNaturalNumber0(xn) = all_133_2
% 22.54/3.90  | | | | | | | | | |   (202)  aNaturalNumber0(all_35_4) = all_133_1
% 22.54/3.90  | | | | | | | | | |   (203)  sdtasdt0(all_35_4, xn) = all_133_0
% 22.54/3.90  | | | | | | | | | |   (204)   ~ (all_133_1 = 0) |  ~ (all_133_2 = 0) | all_133_0
% 22.54/3.90  | | | | | | | | | |          = all_58_1
% 22.54/3.90  | | | | | | | | | | 
% 22.54/3.90  | | | | | | | | | | DELTA: instantiating (171) with fresh symbols all_135_0,
% 22.54/3.90  | | | | | | | | | |        all_135_1, all_135_2 gives:
% 22.54/3.90  | | | | | | | | | |   (205)  sdtasdt0(all_86_0, xl) = all_135_0 &
% 22.54/3.90  | | | | | | | | | |          aNaturalNumber0(all_86_0) = all_135_1 &
% 22.54/3.90  | | | | | | | | | |          aNaturalNumber0(xl) = all_135_2 & $i(all_135_0) & (
% 22.54/3.90  | | | | | | | | | |            ~ (all_135_1 = 0) |  ~ (all_135_2 = 0) |
% 22.54/3.90  | | | | | | | | | |            all_135_0 = xm)
% 22.54/3.90  | | | | | | | | | | 
% 22.54/3.90  | | | | | | | | | | ALPHA: (205) implies:
% 22.54/3.90  | | | | | | | | | |   (206)  aNaturalNumber0(xl) = all_135_2
% 22.54/3.90  | | | | | | | | | |   (207)  aNaturalNumber0(all_86_0) = all_135_1
% 22.54/3.90  | | | | | | | | | | 
% 22.54/3.90  | | | | | | | | | | DELTA: instantiating (173) with fresh symbols all_137_0,
% 22.54/3.90  | | | | | | | | | |        all_137_1, all_137_2, all_137_3, all_137_4 gives:
% 22.54/3.90  | | | | | | | | | |   (208)  sdtasdt0(xn, all_137_1) = all_137_0 & sdtasdt0(xl,
% 22.54/3.90  | | | | | | | | | |            all_35_4) = all_137_1 & aNaturalNumber0(all_35_4)
% 22.54/3.90  | | | | | | | | | |          = all_137_2 & aNaturalNumber0(xn) = all_137_4 &
% 22.54/3.90  | | | | | | | | | |          aNaturalNumber0(xl) = all_137_3 & $i(all_137_0) &
% 22.54/3.90  | | | | | | | | | |          $i(all_137_1) & ( ~ (all_137_2 = 0) |  ~ (all_137_3
% 22.54/3.90  | | | | | | | | | |              = 0) |  ~ (all_137_4 = 0) | all_137_0 =
% 22.54/3.90  | | | | | | | | | |            all_35_3)
% 22.54/3.90  | | | | | | | | | | 
% 22.54/3.90  | | | | | | | | | | ALPHA: (208) implies:
% 22.54/3.90  | | | | | | | | | |   (209)  aNaturalNumber0(xl) = all_137_3
% 22.54/3.90  | | | | | | | | | |   (210)  aNaturalNumber0(xn) = all_137_4
% 22.54/3.90  | | | | | | | | | |   (211)  aNaturalNumber0(all_35_4) = all_137_2
% 22.54/3.90  | | | | | | | | | |   (212)  sdtasdt0(xl, all_35_4) = all_137_1
% 22.54/3.90  | | | | | | | | | |   (213)  sdtasdt0(xn, all_137_1) = all_137_0
% 22.54/3.90  | | | | | | | | | |   (214)   ~ (all_137_2 = 0) |  ~ (all_137_3 = 0) |  ~
% 22.54/3.90  | | | | | | | | | |          (all_137_4 = 0) | all_137_0 = all_35_3
% 22.54/3.90  | | | | | | | | | | 
% 22.54/3.90  | | | | | | | | | | DELTA: instantiating (172) with fresh symbols all_139_0,
% 22.54/3.90  | | | | | | | | | |        all_139_1, all_139_2, all_139_3, all_139_4 gives:
% 22.54/3.90  | | | | | | | | | |   (215)  sdtasdt0(all_86_0, xn) = all_139_1 & sdtasdt0(xl,
% 22.54/3.90  | | | | | | | | | |            all_139_1) = all_139_0 &
% 22.54/3.90  | | | | | | | | | |          aNaturalNumber0(all_86_0) = all_139_3 &
% 22.54/3.90  | | | | | | | | | |          aNaturalNumber0(xn) = all_139_2 &
% 22.54/3.90  | | | | | | | | | |          aNaturalNumber0(xl) = all_139_4 & $i(all_139_0) &
% 22.54/3.90  | | | | | | | | | |          $i(all_139_1) & ( ~ (all_139_2 = 0) |  ~ (all_139_3
% 22.54/3.90  | | | | | | | | | |              = 0) |  ~ (all_139_4 = 0) | all_139_0 =
% 22.54/3.90  | | | | | | | | | |            all_35_2)
% 22.54/3.90  | | | | | | | | | | 
% 22.54/3.90  | | | | | | | | | | ALPHA: (215) implies:
% 22.54/3.91  | | | | | | | | | |   (216)  $i(all_139_1)
% 22.54/3.91  | | | | | | | | | |   (217)  $i(all_139_0)
% 22.54/3.91  | | | | | | | | | |   (218)  aNaturalNumber0(xl) = all_139_4
% 22.54/3.91  | | | | | | | | | |   (219)  aNaturalNumber0(xn) = all_139_2
% 22.54/3.91  | | | | | | | | | |   (220)  aNaturalNumber0(all_86_0) = all_139_3
% 22.54/3.91  | | | | | | | | | |   (221)  sdtasdt0(xl, all_139_1) = all_139_0
% 22.54/3.91  | | | | | | | | | |   (222)  sdtasdt0(all_86_0, xn) = all_139_1
% 22.54/3.91  | | | | | | | | | |   (223)   ~ (all_139_2 = 0) |  ~ (all_139_3 = 0) |  ~
% 22.54/3.91  | | | | | | | | | |          (all_139_4 = 0) | all_139_0 = all_35_2
% 22.54/3.91  | | | | | | | | | | 
% 22.54/3.91  | | | | | | | | | | GROUND_INST: instantiating (11) with 0, all_135_2, xl,
% 22.54/3.91  | | | | | | | | | |              simplifying with (2), (206) gives:
% 22.54/3.91  | | | | | | | | | |   (224)  all_135_2 = 0
% 22.54/3.91  | | | | | | | | | | 
% 22.54/3.91  | | | | | | | | | | GROUND_INST: instantiating (11) with all_129_1, all_135_2, xl,
% 22.54/3.91  | | | | | | | | | |              simplifying with (196), (206) gives:
% 22.54/3.91  | | | | | | | | | |   (225)  all_135_2 = all_129_1
% 22.54/3.91  | | | | | | | | | | 
% 22.54/3.91  | | | | | | | | | | GROUND_INST: instantiating (11) with all_127_2, all_135_2, xl,
% 22.54/3.91  | | | | | | | | | |              simplifying with (193), (206) gives:
% 22.54/3.91  | | | | | | | | | |   (226)  all_135_2 = all_127_2
% 22.54/3.91  | | | | | | | | | | 
% 22.54/3.91  | | | | | | | | | | GROUND_INST: instantiating (11) with all_121_2, all_135_2, xl,
% 22.54/3.91  | | | | | | | | | |              simplifying with (183), (206) gives:
% 22.54/3.91  | | | | | | | | | |   (227)  all_135_2 = all_121_2
% 22.54/3.91  | | | | | | | | | | 
% 22.54/3.91  | | | | | | | | | | GROUND_INST: instantiating (11) with all_127_2, all_137_3, xl,
% 22.54/3.91  | | | | | | | | | |              simplifying with (193), (209) gives:
% 22.54/3.91  | | | | | | | | | |   (228)  all_137_3 = all_127_2
% 22.54/3.91  | | | | | | | | | | 
% 22.54/3.91  | | | | | | | | | | GROUND_INST: instantiating (11) with all_137_3, all_139_4, xl,
% 22.54/3.91  | | | | | | | | | |              simplifying with (209), (218) gives:
% 22.54/3.91  | | | | | | | | | |   (229)  all_139_4 = all_137_3
% 22.54/3.91  | | | | | | | | | | 
% 22.54/3.91  | | | | | | | | | | GROUND_INST: instantiating (11) with all_119_1, all_139_4, xl,
% 22.54/3.91  | | | | | | | | | |              simplifying with (181), (218) gives:
% 22.54/3.91  | | | | | | | | | |   (230)  all_139_4 = all_119_1
% 22.54/3.91  | | | | | | | | | | 
% 22.54/3.91  | | | | | | | | | | GROUND_INST: instantiating (11) with 0, all_133_2, xn,
% 22.54/3.91  | | | | | | | | | |              simplifying with (6), (201) gives:
% 22.54/3.91  | | | | | | | | | |   (231)  all_133_2 = 0
% 22.54/3.91  | | | | | | | | | | 
% 22.54/3.91  | | | | | | | | | | GROUND_INST: instantiating (11) with all_133_2, all_137_4, xn,
% 22.54/3.91  | | | | | | | | | |              simplifying with (201), (210) gives:
% 22.54/3.91  | | | | | | | | | |   (232)  all_137_4 = all_133_2
% 22.54/3.91  | | | | | | | | | | 
% 22.54/3.91  | | | | | | | | | | GROUND_INST: instantiating (11) with all_137_4, all_139_2, xn,
% 22.54/3.91  | | | | | | | | | |              simplifying with (210), (219) gives:
% 22.54/3.91  | | | | | | | | | |   (233)  all_139_2 = all_137_4
% 22.54/3.91  | | | | | | | | | | 
% 22.54/3.91  | | | | | | | | | | GROUND_INST: instantiating (11) with all_125_2, all_139_2, xn,
% 22.54/3.91  | | | | | | | | | |              simplifying with (188), (219) gives:
% 22.54/3.91  | | | | | | | | | |   (234)  all_139_2 = all_125_2
% 22.54/3.91  | | | | | | | | | | 
% 22.54/3.91  | | | | | | | | | | GROUND_INST: instantiating (11) with all_131_2, all_133_1,
% 22.54/3.91  | | | | | | | | | |              all_35_4, simplifying with (199), (202) gives:
% 22.54/3.91  | | | | | | | | | |   (235)  all_133_1 = all_131_2
% 22.54/3.91  | | | | | | | | | | 
% 22.54/3.91  | | | | | | | | | | GROUND_INST: instantiating (11) with all_123_2, all_133_1,
% 22.54/3.91  | | | | | | | | | |              all_35_4, simplifying with (186), (202) gives:
% 22.54/3.91  | | | | | | | | | |   (236)  all_133_1 = all_123_2
% 22.54/3.91  | | | | | | | | | | 
% 22.54/3.91  | | | | | | | | | | GROUND_INST: instantiating (11) with all_42_1, all_137_2,
% 22.54/3.91  | | | | | | | | | |              all_35_4, simplifying with (39), (211) gives:
% 22.54/3.91  | | | | | | | | | |   (237)  all_137_2 = all_42_1
% 22.54/3.91  | | | | | | | | | | 
% 22.54/3.91  | | | | | | | | | | GROUND_INST: instantiating (11) with all_131_2, all_137_2,
% 22.54/3.91  | | | | | | | | | |              all_35_4, simplifying with (199), (211) gives:
% 22.54/3.91  | | | | | | | | | |   (238)  all_137_2 = all_131_2
% 22.54/3.91  | | | | | | | | | | 
% 22.54/3.91  | | | | | | | | | | GROUND_INST: instantiating (11) with all_125_1, all_137_2,
% 22.54/3.91  | | | | | | | | | |              all_35_4, simplifying with (189), (211) gives:
% 22.54/3.91  | | | | | | | | | |   (239)  all_137_2 = all_125_1
% 22.54/3.91  | | | | | | | | | | 
% 22.54/3.91  | | | | | | | | | | GROUND_INST: instantiating (11) with all_125_0, all_127_1,
% 22.54/3.91  | | | | | | | | | |              all_58_1, simplifying with (190), (194) gives:
% 22.54/3.91  | | | | | | | | | |   (240)  all_127_1 = all_125_0
% 22.54/3.91  | | | | | | | | | | 
% 22.54/3.91  | | | | | | | | | | GROUND_INST: instantiating (11) with all_121_1, all_127_1,
% 22.54/3.91  | | | | | | | | | |              all_58_1, simplifying with (184), (194) gives:
% 22.54/3.91  | | | | | | | | | |   (241)  all_127_1 = all_121_1
% 22.54/3.91  | | | | | | | | | | 
% 22.54/3.91  | | | | | | | | | | GROUND_INST: instantiating (11) with 0, all_139_3, all_86_0,
% 22.54/3.91  | | | | | | | | | |              simplifying with (133), (220) gives:
% 22.54/3.91  | | | | | | | | | |   (242)  all_139_3 = 0
% 22.54/3.91  | | | | | | | | | | 
% 22.54/3.91  | | | | | | | | | | GROUND_INST: instantiating (11) with all_135_1, all_139_3,
% 22.54/3.91  | | | | | | | | | |              all_86_0, simplifying with (207), (220) gives:
% 22.54/3.91  | | | | | | | | | |   (243)  all_139_3 = all_135_1
% 22.54/3.91  | | | | | | | | | | 
% 22.54/3.91  | | | | | | | | | | GROUND_INST: instantiating (12) with all_35_0, all_129_0,
% 22.54/3.91  | | | | | | | | | |              all_35_1, xl, simplifying with (21), (197) gives:
% 22.54/3.91  | | | | | | | | | |   (244)  all_129_0 = all_35_0
% 22.54/3.91  | | | | | | | | | | 
% 22.54/3.91  | | | | | | | | | | COMBINE_EQS: (233), (234) imply:
% 22.54/3.91  | | | | | | | | | |   (245)  all_137_4 = all_125_2
% 22.54/3.91  | | | | | | | | | | 
% 22.54/3.91  | | | | | | | | | | SIMP: (245) implies:
% 22.54/3.91  | | | | | | | | | |   (246)  all_137_4 = all_125_2
% 22.54/3.91  | | | | | | | | | | 
% 22.54/3.91  | | | | | | | | | | COMBINE_EQS: (242), (243) imply:
% 22.54/3.91  | | | | | | | | | |   (247)  all_135_1 = 0
% 22.54/3.91  | | | | | | | | | | 
% 22.54/3.91  | | | | | | | | | | SIMP: (247) implies:
% 22.54/3.91  | | | | | | | | | |   (248)  all_135_1 = 0
% 22.54/3.91  | | | | | | | | | | 
% 22.54/3.91  | | | | | | | | | | COMBINE_EQS: (229), (230) imply:
% 22.54/3.91  | | | | | | | | | |   (249)  all_137_3 = all_119_1
% 22.54/3.91  | | | | | | | | | | 
% 22.54/3.91  | | | | | | | | | | SIMP: (249) implies:
% 22.54/3.91  | | | | | | | | | |   (250)  all_137_3 = all_119_1
% 22.54/3.91  | | | | | | | | | | 
% 22.54/3.91  | | | | | | | | | | COMBINE_EQS: (238), (239) imply:
% 22.54/3.91  | | | | | | | | | |   (251)  all_131_2 = all_125_1
% 22.54/3.91  | | | | | | | | | | 
% 22.54/3.91  | | | | | | | | | | SIMP: (251) implies:
% 22.54/3.91  | | | | | | | | | |   (252)  all_131_2 = all_125_1
% 22.54/3.91  | | | | | | | | | | 
% 22.54/3.91  | | | | | | | | | | COMBINE_EQS: (237), (239) imply:
% 22.54/3.91  | | | | | | | | | |   (253)  all_125_1 = all_42_1
% 22.54/3.91  | | | | | | | | | | 
% 22.54/3.91  | | | | | | | | | | COMBINE_EQS: (228), (250) imply:
% 22.54/3.91  | | | | | | | | | |   (254)  all_127_2 = all_119_1
% 22.54/3.91  | | | | | | | | | | 
% 22.54/3.91  | | | | | | | | | | SIMP: (254) implies:
% 22.54/3.91  | | | | | | | | | |   (255)  all_127_2 = all_119_1
% 22.54/3.91  | | | | | | | | | | 
% 22.54/3.91  | | | | | | | | | | COMBINE_EQS: (232), (246) imply:
% 22.54/3.91  | | | | | | | | | |   (256)  all_133_2 = all_125_2
% 22.54/3.91  | | | | | | | | | | 
% 22.54/3.91  | | | | | | | | | | SIMP: (256) implies:
% 22.54/3.91  | | | | | | | | | |   (257)  all_133_2 = all_125_2
% 22.54/3.91  | | | | | | | | | | 
% 22.54/3.91  | | | | | | | | | | COMBINE_EQS: (225), (226) imply:
% 22.54/3.91  | | | | | | | | | |   (258)  all_129_1 = all_127_2
% 22.54/3.91  | | | | | | | | | | 
% 22.54/3.91  | | | | | | | | | | COMBINE_EQS: (225), (227) imply:
% 22.54/3.91  | | | | | | | | | |   (259)  all_129_1 = all_121_2
% 22.54/3.91  | | | | | | | | | | 
% 22.54/3.91  | | | | | | | | | | COMBINE_EQS: (224), (225) imply:
% 22.54/3.91  | | | | | | | | | |   (260)  all_129_1 = 0
% 22.54/3.91  | | | | | | | | | | 
% 22.54/3.91  | | | | | | | | | | COMBINE_EQS: (235), (236) imply:
% 22.54/3.91  | | | | | | | | | |   (261)  all_131_2 = all_123_2
% 22.54/3.91  | | | | | | | | | | 
% 22.54/3.91  | | | | | | | | | | SIMP: (261) implies:
% 22.54/3.91  | | | | | | | | | |   (262)  all_131_2 = all_123_2
% 22.54/3.91  | | | | | | | | | | 
% 22.54/3.91  | | | | | | | | | | COMBINE_EQS: (231), (257) imply:
% 22.54/3.91  | | | | | | | | | |   (263)  all_125_2 = 0
% 22.54/3.91  | | | | | | | | | | 
% 22.54/3.91  | | | | | | | | | | COMBINE_EQS: (252), (262) imply:
% 22.54/3.91  | | | | | | | | | |   (264)  all_125_1 = all_123_2
% 22.54/3.91  | | | | | | | | | | 
% 22.54/3.91  | | | | | | | | | | SIMP: (264) implies:
% 22.54/3.91  | | | | | | | | | |   (265)  all_125_1 = all_123_2
% 22.54/3.91  | | | | | | | | | | 
% 22.54/3.91  | | | | | | | | | | COMBINE_EQS: (258), (259) imply:
% 22.54/3.91  | | | | | | | | | |   (266)  all_127_2 = all_121_2
% 22.54/3.91  | | | | | | | | | | 
% 22.54/3.91  | | | | | | | | | | SIMP: (266) implies:
% 22.54/3.91  | | | | | | | | | |   (267)  all_127_2 = all_121_2
% 22.54/3.91  | | | | | | | | | | 
% 22.54/3.91  | | | | | | | | | | COMBINE_EQS: (259), (260) imply:
% 22.54/3.91  | | | | | | | | | |   (268)  all_121_2 = 0
% 22.54/3.91  | | | | | | | | | | 
% 22.54/3.91  | | | | | | | | | | COMBINE_EQS: (240), (241) imply:
% 22.54/3.91  | | | | | | | | | |   (269)  all_125_0 = all_121_1
% 22.54/3.91  | | | | | | | | | | 
% 22.54/3.91  | | | | | | | | | | COMBINE_EQS: (255), (267) imply:
% 22.54/3.91  | | | | | | | | | |   (270)  all_121_2 = all_119_1
% 22.54/3.91  | | | | | | | | | | 
% 22.54/3.91  | | | | | | | | | | SIMP: (270) implies:
% 22.54/3.91  | | | | | | | | | |   (271)  all_121_2 = all_119_1
% 22.54/3.91  | | | | | | | | | | 
% 22.54/3.91  | | | | | | | | | | COMBINE_EQS: (253), (265) imply:
% 22.54/3.91  | | | | | | | | | |   (272)  all_123_2 = all_42_1
% 22.54/3.91  | | | | | | | | | | 
% 22.54/3.91  | | | | | | | | | | COMBINE_EQS: (268), (271) imply:
% 22.54/3.91  | | | | | | | | | |   (273)  all_119_1 = 0
% 22.54/3.91  | | | | | | | | | | 
% 22.54/3.91  | | | | | | | | | | SIMP: (273) implies:
% 22.54/3.91  | | | | | | | | | |   (274)  all_119_1 = 0
% 22.54/3.91  | | | | | | | | | | 
% 22.54/3.91  | | | | | | | | | | COMBINE_EQS: (236), (272) imply:
% 22.54/3.91  | | | | | | | | | |   (275)  all_133_1 = all_42_1
% 22.54/3.91  | | | | | | | | | | 
% 22.54/3.91  | | | | | | | | | | COMBINE_EQS: (246), (263) imply:
% 22.54/3.91  | | | | | | | | | |   (276)  all_137_4 = 0
% 22.54/3.91  | | | | | | | | | | 
% 22.54/3.91  | | | | | | | | | | COMBINE_EQS: (250), (274) imply:
% 22.54/3.91  | | | | | | | | | |   (277)  all_137_3 = 0
% 22.54/3.91  | | | | | | | | | | 
% 22.54/3.91  | | | | | | | | | | COMBINE_EQS: (230), (274) imply:
% 22.54/3.91  | | | | | | | | | |   (278)  all_139_4 = 0
% 22.54/3.91  | | | | | | | | | | 
% 22.54/3.91  | | | | | | | | | | COMBINE_EQS: (234), (263) imply:
% 22.54/3.91  | | | | | | | | | |   (279)  all_139_2 = 0
% 22.54/3.91  | | | | | | | | | | 
% 22.54/3.91  | | | | | | | | | | BETA: splitting (170) gives:
% 22.54/3.91  | | | | | | | | | | 
% 22.54/3.91  | | | | | | | | | | Case 1:
% 22.54/3.91  | | | | | | | | | | | 
% 22.54/3.91  | | | | | | | | | | |   (280)  all_86_0 = all_35_4
% 22.54/3.91  | | | | | | | | | | | 
% 22.54/3.91  | | | | | | | | | | | REDUCE: (222), (280) imply:
% 22.54/3.91  | | | | | | | | | | |   (281)  sdtasdt0(all_35_4, xn) = all_139_1
% 22.54/3.91  | | | | | | | | | | | 
% 22.54/3.91  | | | | | | | | | | | REDUCE: (134), (280) imply:
% 22.54/3.91  | | | | | | | | | | |   (282)  sdtasdt0(xl, all_35_4) = xm
% 22.54/3.91  | | | | | | | | | | | 
% 22.54/3.91  | | | | | | | | | | | REDUCE: (133), (280) imply:
% 22.54/3.91  | | | | | | | | | | |   (283)  aNaturalNumber0(all_35_4) = 0
% 22.54/3.91  | | | | | | | | | | | 
% 22.54/3.91  | | | | | | | | | | | BETA: splitting (223) gives:
% 22.54/3.91  | | | | | | | | | | | 
% 22.54/3.91  | | | | | | | | | | | Case 1:
% 22.54/3.91  | | | | | | | | | | | | 
% 22.54/3.91  | | | | | | | | | | | |   (284)   ~ (all_139_2 = 0)
% 22.54/3.91  | | | | | | | | | | | | 
% 22.54/3.91  | | | | | | | | | | | | REDUCE: (279), (284) imply:
% 22.54/3.92  | | | | | | | | | | | |   (285)  $false
% 22.54/3.92  | | | | | | | | | | | | 
% 22.54/3.92  | | | | | | | | | | | | CLOSE: (285) is inconsistent.
% 22.54/3.92  | | | | | | | | | | | | 
% 22.54/3.92  | | | | | | | | | | | Case 2:
% 22.54/3.92  | | | | | | | | | | | | 
% 22.54/3.92  | | | | | | | | | | | |   (286)   ~ (all_139_3 = 0) |  ~ (all_139_4 = 0) |
% 22.54/3.92  | | | | | | | | | | | |          all_139_0 = all_35_2
% 22.54/3.92  | | | | | | | | | | | | 
% 22.54/3.92  | | | | | | | | | | | | BETA: splitting (286) gives:
% 22.54/3.92  | | | | | | | | | | | | 
% 22.54/3.92  | | | | | | | | | | | | Case 1:
% 22.54/3.92  | | | | | | | | | | | | | 
% 22.54/3.92  | | | | | | | | | | | | |   (287)   ~ (all_139_3 = 0)
% 22.54/3.92  | | | | | | | | | | | | | 
% 22.54/3.92  | | | | | | | | | | | | | REDUCE: (242), (287) imply:
% 22.54/3.92  | | | | | | | | | | | | |   (288)  $false
% 22.54/3.92  | | | | | | | | | | | | | 
% 22.54/3.92  | | | | | | | | | | | | | CLOSE: (288) is inconsistent.
% 22.54/3.92  | | | | | | | | | | | | | 
% 22.54/3.92  | | | | | | | | | | | | Case 2:
% 22.54/3.92  | | | | | | | | | | | | | 
% 22.54/3.92  | | | | | | | | | | | | |   (289)   ~ (all_139_4 = 0) | all_139_0 = all_35_2
% 22.54/3.92  | | | | | | | | | | | | | 
% 22.54/3.92  | | | | | | | | | | | | | BETA: splitting (289) gives:
% 22.54/3.92  | | | | | | | | | | | | | 
% 22.54/3.92  | | | | | | | | | | | | | Case 1:
% 22.54/3.92  | | | | | | | | | | | | | | 
% 22.54/3.92  | | | | | | | | | | | | | |   (290)   ~ (all_139_4 = 0)
% 22.54/3.92  | | | | | | | | | | | | | | 
% 22.54/3.92  | | | | | | | | | | | | | | REDUCE: (278), (290) imply:
% 22.54/3.92  | | | | | | | | | | | | | |   (291)  $false
% 22.54/3.92  | | | | | | | | | | | | | | 
% 22.54/3.92  | | | | | | | | | | | | | | CLOSE: (291) is inconsistent.
% 22.54/3.92  | | | | | | | | | | | | | | 
% 22.54/3.92  | | | | | | | | | | | | | Case 2:
% 22.54/3.92  | | | | | | | | | | | | | | 
% 22.54/3.92  | | | | | | | | | | | | | |   (292)  all_139_0 = all_35_2
% 22.54/3.92  | | | | | | | | | | | | | | 
% 22.54/3.92  | | | | | | | | | | | | | | REDUCE: (221), (292) imply:
% 22.54/3.92  | | | | | | | | | | | | | |   (293)  sdtasdt0(xl, all_139_1) = all_35_2
% 22.54/3.92  | | | | | | | | | | | | | | 
% 22.54/3.92  | | | | | | | | | | | | | | GROUND_INST: instantiating (11) with all_42_1, 0, all_35_4,
% 22.54/3.92  | | | | | | | | | | | | | |              simplifying with (39), (283) gives:
% 22.54/3.92  | | | | | | | | | | | | | |   (294)  all_42_1 = 0
% 22.54/3.92  | | | | | | | | | | | | | | 
% 22.54/3.92  | | | | | | | | | | | | | | GROUND_INST: instantiating (12) with all_137_1, xm, all_35_4,
% 22.54/3.92  | | | | | | | | | | | | | |              xl, simplifying with (212), (282) gives:
% 22.54/3.92  | | | | | | | | | | | | | |   (295)  all_137_1 = xm
% 22.54/3.92  | | | | | | | | | | | | | | 
% 22.54/3.92  | | | | | | | | | | | | | | GROUND_INST: instantiating (12) with all_133_0, all_139_1, xn,
% 22.54/3.92  | | | | | | | | | | | | | |              all_35_4, simplifying with (203), (281) gives:
% 22.54/3.92  | | | | | | | | | | | | | |   (296)  all_139_1 = all_133_0
% 22.54/3.92  | | | | | | | | | | | | | | 
% 22.54/3.92  | | | | | | | | | | | | | | COMBINE_EQS: (253), (294) imply:
% 22.54/3.92  | | | | | | | | | | | | | |   (297)  all_125_1 = 0
% 22.54/3.92  | | | | | | | | | | | | | | 
% 22.54/3.92  | | | | | | | | | | | | | | COMBINE_EQS: (275), (294) imply:
% 22.54/3.92  | | | | | | | | | | | | | |   (298)  all_133_1 = 0
% 22.54/3.92  | | | | | | | | | | | | | | 
% 22.54/3.92  | | | | | | | | | | | | | | COMBINE_EQS: (237), (294) imply:
% 22.54/3.92  | | | | | | | | | | | | | |   (299)  all_137_2 = 0
% 22.54/3.92  | | | | | | | | | | | | | | 
% 22.54/3.92  | | | | | | | | | | | | | | REDUCE: (213), (295) imply:
% 22.54/3.92  | | | | | | | | | | | | | |   (300)  sdtasdt0(xn, xm) = all_137_0
% 22.54/3.92  | | | | | | | | | | | | | | 
% 22.54/3.92  | | | | | | | | | | | | | | REDUCE: (293), (296) imply:
% 22.54/3.92  | | | | | | | | | | | | | |   (301)  sdtasdt0(xl, all_133_0) = all_35_2
% 22.54/3.92  | | | | | | | | | | | | | | 
% 22.54/3.92  | | | | | | | | | | | | | | REDUCE: (216), (296) imply:
% 22.54/3.92  | | | | | | | | | | | | | |   (302)  $i(all_133_0)
% 22.54/3.92  | | | | | | | | | | | | | | 
% 22.54/3.92  | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 22.54/3.92  | | | | | | | | | | | | | | 
% 22.54/3.92  | | | | | | | | | | | | | | Case 1:
% 22.54/3.92  | | | | | | | | | | | | | | | 
% 22.54/3.92  | | | | | | | | | | | | | | |   (303)   ~ (all_137_2 = 0)
% 22.54/3.92  | | | | | | | | | | | | | | | 
% 22.54/3.92  | | | | | | | | | | | | | | | REDUCE: (299), (303) imply:
% 22.54/3.92  | | | | | | | | | | | | | | |   (304)  $false
% 22.54/3.92  | | | | | | | | | | | | | | | 
% 22.54/3.92  | | | | | | | | | | | | | | | CLOSE: (304) is inconsistent.
% 22.54/3.92  | | | | | | | | | | | | | | | 
% 22.54/3.92  | | | | | | | | | | | | | | Case 2:
% 22.54/3.92  | | | | | | | | | | | | | | | 
% 22.54/3.92  | | | | | | | | | | | | | | |   (305)   ~ (all_137_3 = 0) |  ~ (all_137_4 = 0) |
% 22.54/3.92  | | | | | | | | | | | | | | |          all_137_0 = all_35_3
% 22.54/3.92  | | | | | | | | | | | | | | | 
% 22.54/3.92  | | | | | | | | | | | | | | | BETA: splitting (305) gives:
% 22.54/3.92  | | | | | | | | | | | | | | | 
% 22.54/3.92  | | | | | | | | | | | | | | | Case 1:
% 22.54/3.92  | | | | | | | | | | | | | | | | 
% 22.54/3.92  | | | | | | | | | | | | | | | |   (306)   ~ (all_137_3 = 0)
% 22.54/3.92  | | | | | | | | | | | | | | | | 
% 22.54/3.92  | | | | | | | | | | | | | | | | REDUCE: (277), (306) imply:
% 22.54/3.92  | | | | | | | | | | | | | | | |   (307)  $false
% 22.54/3.92  | | | | | | | | | | | | | | | | 
% 22.54/3.92  | | | | | | | | | | | | | | | | CLOSE: (307) is inconsistent.
% 22.54/3.92  | | | | | | | | | | | | | | | | 
% 22.54/3.92  | | | | | | | | | | | | | | | Case 2:
% 22.54/3.92  | | | | | | | | | | | | | | | | 
% 22.54/3.92  | | | | | | | | | | | | | | | |   (308)   ~ (all_137_4 = 0) | all_137_0 = all_35_3
% 22.54/3.92  | | | | | | | | | | | | | | | | 
% 22.54/3.92  | | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 22.54/3.92  | | | | | | | | | | | | | | | | 
% 22.54/3.92  | | | | | | | | | | | | | | | | Case 1:
% 22.54/3.92  | | | | | | | | | | | | | | | | | 
% 22.54/3.92  | | | | | | | | | | | | | | | | |   (309)   ~ (all_133_1 = 0)
% 22.54/3.92  | | | | | | | | | | | | | | | | | 
% 22.54/3.92  | | | | | | | | | | | | | | | | | REDUCE: (298), (309) imply:
% 22.54/3.92  | | | | | | | | | | | | | | | | |   (310)  $false
% 22.54/3.92  | | | | | | | | | | | | | | | | | 
% 22.54/3.92  | | | | | | | | | | | | | | | | | CLOSE: (310) is inconsistent.
% 22.54/3.92  | | | | | | | | | | | | | | | | | 
% 22.54/3.92  | | | | | | | | | | | | | | | | Case 2:
% 22.54/3.92  | | | | | | | | | | | | | | | | | 
% 22.54/3.92  | | | | | | | | | | | | | | | | |   (311)   ~ (all_133_2 = 0) | all_133_0 = all_58_1
% 22.54/3.92  | | | | | | | | | | | | | | | | | 
% 22.54/3.92  | | | | | | | | | | | | | | | | | BETA: splitting (311) gives:
% 22.54/3.92  | | | | | | | | | | | | | | | | | 
% 22.54/3.92  | | | | | | | | | | | | | | | | | Case 1:
% 22.54/3.92  | | | | | | | | | | | | | | | | | | 
% 22.54/3.92  | | | | | | | | | | | | | | | | | |   (312)   ~ (all_133_2 = 0)
% 22.54/3.92  | | | | | | | | | | | | | | | | | | 
% 22.54/3.92  | | | | | | | | | | | | | | | | | | REDUCE: (231), (312) imply:
% 22.54/3.92  | | | | | | | | | | | | | | | | | |   (313)  $false
% 22.54/3.92  | | | | | | | | | | | | | | | | | | 
% 22.54/3.92  | | | | | | | | | | | | | | | | | | CLOSE: (313) is inconsistent.
% 22.54/3.92  | | | | | | | | | | | | | | | | | | 
% 22.54/3.92  | | | | | | | | | | | | | | | | | Case 2:
% 22.54/3.92  | | | | | | | | | | | | | | | | | | 
% 22.54/3.92  | | | | | | | | | | | | | | | | | |   (314)  all_133_0 = all_58_1
% 22.54/3.92  | | | | | | | | | | | | | | | | | | 
% 22.54/3.92  | | | | | | | | | | | | | | | | | | REDUCE: (301), (314) imply:
% 22.54/3.92  | | | | | | | | | | | | | | | | | |   (315)  sdtasdt0(xl, all_58_1) = all_35_2
% 22.54/3.92  | | | | | | | | | | | | | | | | | | 
% 22.54/3.92  | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 22.54/3.92  | | | | | | | | | | | | | | | | | | 
% 22.54/3.92  | | | | | | | | | | | | | | | | | | Case 1:
% 22.54/3.92  | | | | | | | | | | | | | | | | | | | 
% 22.54/3.92  | | | | | | | | | | | | | | | | | | |   (316)   ~ (all_125_1 = 0)
% 22.54/3.92  | | | | | | | | | | | | | | | | | | | 
% 22.54/3.92  | | | | | | | | | | | | | | | | | | | REDUCE: (297), (316) imply:
% 22.54/3.92  | | | | | | | | | | | | | | | | | | |   (317)  $false
% 22.54/3.92  | | | | | | | | | | | | | | | | | | | 
% 22.54/3.92  | | | | | | | | | | | | | | | | | | | CLOSE: (317) is inconsistent.
% 22.54/3.92  | | | | | | | | | | | | | | | | | | | 
% 22.54/3.92  | | | | | | | | | | | | | | | | | | Case 2:
% 22.54/3.92  | | | | | | | | | | | | | | | | | | | 
% 22.54/3.92  | | | | | | | | | | | | | | | | | | |   (318)   ~ (all_125_2 = 0) | all_125_0 = 0
% 22.54/3.92  | | | | | | | | | | | | | | | | | | | 
% 22.54/3.92  | | | | | | | | | | | | | | | | | | | BETA: splitting (318) gives:
% 22.54/3.92  | | | | | | | | | | | | | | | | | | | 
% 22.54/3.92  | | | | | | | | | | | | | | | | | | | Case 1:
% 22.54/3.92  | | | | | | | | | | | | | | | | | | | | 
% 22.54/3.92  | | | | | | | | | | | | | | | | | | | |   (319)   ~ (all_125_2 = 0)
% 22.54/3.92  | | | | | | | | | | | | | | | | | | | | 
% 22.54/3.92  | | | | | | | | | | | | | | | | | | | | REDUCE: (263), (319) imply:
% 22.54/3.92  | | | | | | | | | | | | | | | | | | | |   (320)  $false
% 22.54/3.92  | | | | | | | | | | | | | | | | | | | | 
% 22.54/3.92  | | | | | | | | | | | | | | | | | | | | CLOSE: (320) is inconsistent.
% 22.54/3.92  | | | | | | | | | | | | | | | | | | | | 
% 22.54/3.92  | | | | | | | | | | | | | | | | | | | Case 2:
% 22.54/3.92  | | | | | | | | | | | | | | | | | | | | 
% 22.54/3.92  | | | | | | | | | | | | | | | | | | | |   (321)  all_125_0 = 0
% 22.54/3.92  | | | | | | | | | | | | | | | | | | | | 
% 22.54/3.92  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (321) imply:
% 22.54/3.92  | | | | | | | | | | | | | | | | | | | |   (322)  all_121_1 = 0
% 22.54/3.92  | | | | | | | | | | | | | | | | | | | | 
% 22.54/3.92  | | | | | | | | | | | | | | | | | | | | SIMP: (322) implies:
% 22.54/3.92  | | | | | | | | | | | | | | | | | | | |   (323)  all_121_1 = 0
% 22.54/3.92  | | | | | | | | | | | | | | | | | | | | 
% 22.54/3.92  | | | | | | | | | | | | | | | | | | | | REDUCE: (184), (323) imply:
% 22.54/3.92  | | | | | | | | | | | | | | | | | | | |   (324)  aNaturalNumber0(all_58_1) = 0
% 22.54/3.92  | | | | | | | | | | | | | | | | | | | | 
% 22.54/3.92  | | | | | | | | | | | | | | | | | | | | BETA: splitting (308) gives:
% 22.54/3.92  | | | | | | | | | | | | | | | | | | | | 
% 22.54/3.92  | | | | | | | | | | | | | | | | | | | | Case 1:
% 22.54/3.92  | | | | | | | | | | | | | | | | | | | | | 
% 22.54/3.92  | | | | | | | | | | | | | | | | | | | | |   (325)   ~ (all_137_4 = 0)
% 22.54/3.92  | | | | | | | | | | | | | | | | | | | | | 
% 22.54/3.92  | | | | | | | | | | | | | | | | | | | | | REDUCE: (276), (325) imply:
% 22.54/3.92  | | | | | | | | | | | | | | | | | | | | |   (326)  $false
% 22.54/3.92  | | | | | | | | | | | | | | | | | | | | | 
% 22.54/3.92  | | | | | | | | | | | | | | | | | | | | | CLOSE: (326) is inconsistent.
% 22.54/3.92  | | | | | | | | | | | | | | | | | | | | | 
% 22.54/3.92  | | | | | | | | | | | | | | | | | | | | Case 2:
% 22.54/3.92  | | | | | | | | | | | | | | | | | | | | | 
% 22.54/3.92  | | | | | | | | | | | | | | | | | | | | |   (327)  all_137_0 = all_35_3
% 22.54/3.92  | | | | | | | | | | | | | | | | | | | | | 
% 22.54/3.92  | | | | | | | | | | | | | | | | | | | | | REDUCE: (300), (327) imply:
% 22.54/3.92  | | | | | | | | | | | | | | | | | | | | |   (328)  sdtasdt0(xn, xm) = all_35_3
% 22.54/3.92  | | | | | | | | | | | | | | | | | | | | | 
% 22.54/3.92  | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (12) with all_35_2, all_35_3, xm,
% 22.54/3.92  | | | | | | | | | | | | | | | | | | | | |              xn, simplifying with (22), (328) gives:
% 22.54/3.92  | | | | | | | | | | | | | | | | | | | | |   (329)  all_35_2 = all_35_3
% 22.54/3.92  | | | | | | | | | | | | | | | | | | | | | 
% 22.54/3.92  | | | | | | | | | | | | | | | | | | | | | REDUCE: (315), (329) imply:
% 22.54/3.92  | | | | | | | | | | | | | | | | | | | | |   (330)  sdtasdt0(xl, all_58_1) = all_35_3
% 22.54/3.92  | | | | | | | | | | | | | | | | | | | | | 
% 22.54/3.92  | | | | | | | | | | | | | | | | | | | | | REDUCE: (138), (329) imply:
% 22.54/3.92  | | | | | | | | | | | | | | | | | | | | |   (331)  aNaturalNumber0(all_35_3) = 0
% 22.54/3.92  | | | | | | | | | | | | | | | | | | | | | 
% 22.54/3.92  | | | | | | | | | | | | | | | | | | | | | REDUCE: (18), (329) imply:
% 22.54/3.92  | | | | | | | | | | | | | | | | | | | | |   (332)  $i(all_35_3)
% 22.54/3.92  | | | | | | | | | | | | | | | | | | | | | 
% 22.54/3.92  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (37) gives:
% 22.54/3.92  | | | | | | | | | | | | | | | | | | | | | 
% 22.54/3.92  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 22.54/3.92  | | | | | | | | | | | | | | | | | | | | | | 
% 22.54/3.92  | | | | | | | | | | | | | | | | | | | | | |   (333)  xl = sz00
% 22.54/3.92  | | | | | | | | | | | | | | | | | | | | | | 
% 22.54/3.92  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4), (333) imply:
% 22.54/3.92  | | | | | | | | | | | | | | | | | | | | | |   (334)  $false
% 22.54/3.92  | | | | | | | | | | | | | | | | | | | | | | 
% 22.54/3.92  | | | | | | | | | | | | | | | | | | | | | | CLOSE: (334) is inconsistent.
% 22.54/3.92  | | | | | | | | | | | | | | | | | | | | | | 
% 22.54/3.92  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 22.54/3.92  | | | | | | | | | | | | | | | | | | | | | | 
% 22.54/3.92  | | | | | | | | | | | | | | | | | | | | | |   (335)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :
% 22.54/3.92  | | | | | | | | | | | | | | | | | | | | | |          (doDivides0(xl, all_35_2) = v2 &
% 22.54/3.92  | | | | | | | | | | | | | | | | | | | | | |            aNaturalNumber0(all_35_2) = v1 &
% 22.54/3.92  | | | | | | | | | | | | | | | | | | | | | |            aNaturalNumber0(xl) = v0 & ( ~ (v2 = 0) |  ~ (v1
% 22.54/3.92  | | | | | | | | | | | | | | | | | | | | | |                = 0) |  ~ (v0 = 0))) | ( ! [v0: any] : (v0 =
% 22.54/3.92  | | | | | | | | | | | | | | | | | | | | | |              all_35_1 |  ~ (sdtasdt0(xl, v0) = all_35_2) | 
% 22.54/3.92  | | | | | | | | | | | | | | | | | | | | | |              ~ $i(v0) |  ? [v1: int] : ( ~ (v1 = 0) &
% 22.54/3.92  | | | | | | | | | | | | | | | | | | | | | |                aNaturalNumber0(v0) = v1)) &  ! [v0: $i] : (
% 22.54/3.92  | | | | | | | | | | | | | | | | | | | | | |              ~ (sdtasdt0(xl, all_35_1) = v0) |  ~
% 22.54/3.92  | | | | | | | | | | | | | | | | | | | | | |              $i(all_35_1) | (v0 = all_35_2 &
% 22.54/3.92  | | | | | | | | | | | | | | | | | | | | | |                aNaturalNumber0(all_35_1) = 0)))
% 22.54/3.92  | | | | | | | | | | | | | | | | | | | | | | 
% 22.54/3.92  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (335) gives:
% 22.54/3.92  | | | | | | | | | | | | | | | | | | | | | | 
% 22.54/3.92  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 22.54/3.92  | | | | | | | | | | | | | | | | | | | | | | | 
% 22.54/3.92  | | | | | | | | | | | | | | | | | | | | | | |   (336)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :
% 22.54/3.92  | | | | | | | | | | | | | | | | | | | | | | |          (doDivides0(xl, all_35_2) = v2 &
% 22.54/3.92  | | | | | | | | | | | | | | | | | | | | | | |            aNaturalNumber0(all_35_2) = v1 &
% 22.54/3.92  | | | | | | | | | | | | | | | | | | | | | | |            aNaturalNumber0(xl) = v0 & ( ~ (v2 = 0) |  ~ (v1
% 22.54/3.92  | | | | | | | | | | | | | | | | | | | | | | |                = 0) |  ~ (v0 = 0)))
% 22.54/3.92  | | | | | | | | | | | | | | | | | | | | | | | 
% 22.54/3.92  | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (336) with fresh symbols all_264_0,
% 22.54/3.92  | | | | | | | | | | | | | | | | | | | | | | |        all_264_1, all_264_2 gives:
% 22.54/3.92  | | | | | | | | | | | | | | | | | | | | | | |   (337)  doDivides0(xl, all_35_2) = all_264_0 &
% 22.54/3.92  | | | | | | | | | | | | | | | | | | | | | | |          aNaturalNumber0(all_35_2) = all_264_1 &
% 22.54/3.92  | | | | | | | | | | | | | | | | | | | | | | |          aNaturalNumber0(xl) = all_264_2 & ( ~ (all_264_0 =
% 22.54/3.92  | | | | | | | | | | | | | | | | | | | | | | |              0) |  ~ (all_264_1 = 0) |  ~ (all_264_2 = 0))
% 22.54/3.92  | | | | | | | | | | | | | | | | | | | | | | | 
% 22.54/3.92  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (337) implies:
% 22.54/3.92  | | | | | | | | | | | | | | | | | | | | | | |   (338)  aNaturalNumber0(xl) = all_264_2
% 22.54/3.92  | | | | | | | | | | | | | | | | | | | | | | |   (339)  aNaturalNumber0(all_35_2) = all_264_1
% 22.54/3.92  | | | | | | | | | | | | | | | | | | | | | | |   (340)  doDivides0(xl, all_35_2) = all_264_0
% 22.54/3.92  | | | | | | | | | | | | | | | | | | | | | | |   (341)   ~ (all_264_0 = 0) |  ~ (all_264_1 = 0) |  ~
% 22.54/3.92  | | | | | | | | | | | | | | | | | | | | | | |          (all_264_2 = 0)
% 22.54/3.92  | | | | | | | | | | | | | | | | | | | | | | | 
% 22.54/3.92  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (329), (340) imply:
% 22.54/3.92  | | | | | | | | | | | | | | | | | | | | | | |   (342)  doDivides0(xl, all_35_3) = all_264_0
% 22.54/3.92  | | | | | | | | | | | | | | | | | | | | | | | 
% 22.54/3.92  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (329), (339) imply:
% 22.54/3.92  | | | | | | | | | | | | | | | | | | | | | | |   (343)  aNaturalNumber0(all_35_3) = all_264_1
% 22.54/3.92  | | | | | | | | | | | | | | | | | | | | | | | 
% 22.54/3.92  | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (11) with 0, all_264_2, xl,
% 22.54/3.92  | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (2), (338) gives:
% 22.54/3.92  | | | | | | | | | | | | | | | | | | | | | | |   (344)  all_264_2 = 0
% 22.54/3.92  | | | | | | | | | | | | | | | | | | | | | | | 
% 22.54/3.92  | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (11) with 0, all_264_1, all_35_3,
% 22.54/3.92  | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (331), (343) gives:
% 22.54/3.92  | | | | | | | | | | | | | | | | | | | | | | |   (345)  all_264_1 = 0
% 22.54/3.92  | | | | | | | | | | | | | | | | | | | | | | | 
% 22.54/3.92  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (341) gives:
% 22.54/3.92  | | | | | | | | | | | | | | | | | | | | | | | 
% 22.54/3.92  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 22.54/3.92  | | | | | | | | | | | | | | | | | | | | | | | | 
% 22.54/3.92  | | | | | | | | | | | | | | | | | | | | | | | |   (346)   ~ (all_264_0 = 0)
% 22.54/3.92  | | | | | | | | | | | | | | | | | | | | | | | | 
% 22.54/3.92  | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (mDefDiv) with xl, all_35_3,
% 22.54/3.92  | | | | | | | | | | | | | | | | | | | | | | | |              all_264_0, simplifying with (7), (332), (342)
% 22.54/3.92  | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | |   (347)   ? [v0: any] :  ? [v1: any] :
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | |          (aNaturalNumber0(all_35_3) = v1 &
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | |            aNaturalNumber0(xl) = v0 & ( ~ (v1 = 0) |  ~ (v0
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | |                = 0))) | (( ~ (all_264_0 = 0) |  ? [v0: $i]
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | |              : (sdtasdt0(xl, v0) = all_35_3 &
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | |                aNaturalNumber0(v0) = 0 & $i(v0))) &
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | |            (all_264_0 = 0 |  ! [v0: $i] : ( ~ (sdtasdt0(xl,
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | |                    v0) = all_35_3) |  ~ $i(v0) |  ? [v1:
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | |                  int] : ( ~ (v1 = 0) & aNaturalNumber0(v0)
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | |                  = v1))))
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | | 
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (347) gives:
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | | 
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | | |   (348)   ? [v0: any] :  ? [v1: any] :
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | | |          (aNaturalNumber0(all_35_3) = v1 &
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | | |            aNaturalNumber0(xl) = v0 & ( ~ (v1 = 0) |  ~ (v0
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | | |                = 0)))
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (348) with fresh symbols all_307_0,
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | | |        all_307_1 gives:
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | | |   (349)  aNaturalNumber0(all_35_3) = all_307_0 &
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | | |          aNaturalNumber0(xl) = all_307_1 & ( ~ (all_307_0 =
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | | |              0) |  ~ (all_307_1 = 0))
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (349) implies:
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | | |   (350)  aNaturalNumber0(xl) = all_307_1
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | | |   (351)  aNaturalNumber0(all_35_3) = all_307_0
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | | |   (352)   ~ (all_307_0 = 0) |  ~ (all_307_1 = 0)
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (11) with 0, all_307_1, xl,
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (2), (350) gives:
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | | |   (353)  all_307_1 = 0
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (11) with 0, all_307_0, all_35_3,
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (331), (351) gives:
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | | |   (354)  all_307_0 = 0
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (352) gives:
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | | | |   (355)   ~ (all_307_0 = 0)
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (354), (355) imply:
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | | | |   (356)  $false
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (356) is inconsistent.
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | | | |   (357)   ~ (all_307_1 = 0)
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (353), (357) imply:
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | | | |   (358)  $false
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (358) is inconsistent.
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | | |   (359)  ( ~ (all_264_0 = 0) |  ? [v0: $i] : (sdtasdt0(xl,
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | | |                v0) = all_35_3 & aNaturalNumber0(v0) = 0 &
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | | |              $i(v0))) & (all_264_0 = 0 |  ! [v0: $i] : ( ~
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | | |              (sdtasdt0(xl, v0) = all_35_3) |  ~ $i(v0) |  ?
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | | |              [v1: int] : ( ~ (v1 = 0) & aNaturalNumber0(v0)
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | | |                = v1)))
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (359) implies:
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | | |   (360)  all_264_0 = 0 |  ! [v0: $i] : ( ~ (sdtasdt0(xl,
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | | |                v0) = all_35_3) |  ~ $i(v0) |  ? [v1: int] :
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | | |            ( ~ (v1 = 0) & aNaturalNumber0(v0) = v1))
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (360) gives:
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | | | |   (361)  all_264_0 = 0
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (346), (361) imply:
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | | | |   (362)  $false
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (362) is inconsistent.
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | | | |   (363)   ! [v0: $i] : ( ~ (sdtasdt0(xl, v0) = all_35_3) | 
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ $i(v0) |  ? [v1: int] : ( ~ (v1 = 0) &
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | | | |              aNaturalNumber0(v0) = v1))
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (363) with all_58_1, simplifying
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | | | |              with (68), (330) gives:
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | | | |   (364)   ? [v0: int] : ( ~ (v0 = 0) &
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | | | |            aNaturalNumber0(all_58_1) = v0)
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (364) with fresh symbol all_314_0
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | | | |        gives:
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | | | |   (365)   ~ (all_314_0 = 0) & aNaturalNumber0(all_58_1) =
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | | | |          all_314_0
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (365) implies:
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | | | |   (366)   ~ (all_314_0 = 0)
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | | | |   (367)  aNaturalNumber0(all_58_1) = all_314_0
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (11) with 0, all_314_0, all_58_1,
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (324), (367) gives:
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | | | |   (368)  all_314_0 = 0
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (366), (368) imply:
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | | | |   (369)  $false
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (369) is inconsistent.
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | | 
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | | 
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | |   (370)   ~ (all_264_1 = 0) |  ~ (all_264_2 = 0)
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | | 
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (370) gives:
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | | 
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | | |   (371)   ~ (all_264_1 = 0)
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (345), (371) imply:
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | | |   (372)  $false
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (372) is inconsistent.
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | | |   (373)   ~ (all_264_2 = 0)
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (344), (373) imply:
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | | |   (374)  $false
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (374) is inconsistent.
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | | 
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | 
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | 
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | |   (375)   ! [v0: any] : (v0 = all_35_1 |  ~ (sdtasdt0(xl,
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | |                v0) = all_35_2) |  ~ $i(v0) |  ? [v1: int] :
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | |            ( ~ (v1 = 0) & aNaturalNumber0(v0) = v1)) &  !
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | |          [v0: $i] : ( ~ (sdtasdt0(xl, all_35_1) = v0) |  ~
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | |            $i(all_35_1) | (v0 = all_35_2 &
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | |              aNaturalNumber0(all_35_1) = 0))
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | 
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (375) implies:
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | |   (376)   ! [v0: $i] : ( ~ (sdtasdt0(xl, all_35_1) = v0) | 
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | |            ~ $i(all_35_1) | (v0 = all_35_2 &
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | |              aNaturalNumber0(all_35_1) = 0))
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | 
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (376) with all_35_0, simplifying
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | |              with (19), (21) gives:
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | |   (377)  all_35_0 = all_35_2 & aNaturalNumber0(all_35_1) =
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | |          0
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | 
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (377) implies:
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | |   (378)  all_35_0 = all_35_2
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | 
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (329), (378) imply:
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | |   (379)  all_35_0 = all_35_3
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | 
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15), (379) imply:
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | |   (380)  $false
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | 
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (380) is inconsistent.
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | | 
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | End of split
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | | 
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | End of split
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | | 
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | End of split
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | | 
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | End of split
% 22.54/3.93  | | | | | | | | | | | | | | | | | | | 
% 22.54/3.93  | | | | | | | | | | | | | | | | | | End of split
% 22.54/3.93  | | | | | | | | | | | | | | | | | | 
% 22.54/3.93  | | | | | | | | | | | | | | | | | End of split
% 22.54/3.93  | | | | | | | | | | | | | | | | | 
% 22.54/3.93  | | | | | | | | | | | | | | | | End of split
% 22.54/3.93  | | | | | | | | | | | | | | | | 
% 22.54/3.93  | | | | | | | | | | | | | | | End of split
% 22.54/3.93  | | | | | | | | | | | | | | | 
% 22.54/3.93  | | | | | | | | | | | | | | End of split
% 22.54/3.93  | | | | | | | | | | | | | | 
% 22.54/3.93  | | | | | | | | | | | | | End of split
% 22.54/3.93  | | | | | | | | | | | | | 
% 22.54/3.93  | | | | | | | | | | | | End of split
% 22.54/3.93  | | | | | | | | | | | | 
% 22.54/3.93  | | | | | | | | | | | End of split
% 22.54/3.93  | | | | | | | | | | | 
% 22.54/3.93  | | | | | | | | | | Case 2:
% 22.54/3.93  | | | | | | | | | | | 
% 22.54/3.93  | | | | | | | | | | |   (381)   ? [v0: int] : ( ~ (v0 = 0) &
% 22.54/3.93  | | | | | | | | | | |            aNaturalNumber0(all_86_0) = v0)
% 22.54/3.93  | | | | | | | | | | | 
% 22.54/3.93  | | | | | | | | | | | DELTA: instantiating (381) with fresh symbol all_149_0
% 22.54/3.93  | | | | | | | | | | |        gives:
% 22.54/3.93  | | | | | | | | | | |   (382)   ~ (all_149_0 = 0) & aNaturalNumber0(all_86_0) =
% 22.54/3.93  | | | | | | | | | | |          all_149_0
% 22.54/3.93  | | | | | | | | | | | 
% 22.54/3.93  | | | | | | | | | | | ALPHA: (382) implies:
% 22.54/3.93  | | | | | | | | | | |   (383)   ~ (all_149_0 = 0)
% 22.54/3.93  | | | | | | | | | | |   (384)  aNaturalNumber0(all_86_0) = all_149_0
% 22.54/3.93  | | | | | | | | | | | 
% 22.54/3.93  | | | | | | | | | | | GROUND_INST: instantiating (11) with 0, all_149_0, all_86_0,
% 22.54/3.93  | | | | | | | | | | |              simplifying with (133), (384) gives:
% 22.54/3.93  | | | | | | | | | | |   (385)  all_149_0 = 0
% 22.54/3.93  | | | | | | | | | | | 
% 22.54/3.93  | | | | | | | | | | | REDUCE: (383), (385) imply:
% 22.54/3.93  | | | | | | | | | | |   (386)  $false
% 22.54/3.93  | | | | | | | | | | | 
% 22.54/3.93  | | | | | | | | | | | CLOSE: (386) is inconsistent.
% 22.54/3.93  | | | | | | | | | | | 
% 22.54/3.93  | | | | | | | | | | End of split
% 22.54/3.93  | | | | | | | | | | 
% 22.54/3.93  | | | | | | | | | End of split
% 22.54/3.93  | | | | | | | | | 
% 22.54/3.93  | | | | | | | | End of split
% 22.54/3.93  | | | | | | | | 
% 22.54/3.93  | | | | | | | End of split
% 22.54/3.93  | | | | | | | 
% 22.54/3.93  | | | | | | End of split
% 22.54/3.93  | | | | | | 
% 22.54/3.93  | | | | | End of split
% 22.54/3.93  | | | | | 
% 22.54/3.93  | | | | End of split
% 22.54/3.93  | | | | 
% 22.54/3.93  | | | End of split
% 22.54/3.93  | | | 
% 22.54/3.93  | | End of split
% 22.54/3.93  | | 
% 22.54/3.93  | End of split
% 22.54/3.93  | 
% 22.54/3.93  End of proof
% 22.54/3.93  % SZS output end Proof for theBenchmark
% 22.54/3.94  
% 22.54/3.94  3329ms
%------------------------------------------------------------------------------