%------------------------------------------------------------------------------
% File     : Princess---230619
% Problem  : NUM473+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s

% Computer : n022.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 11:48:00 EDT 2023

% Result   : Theorem 12.11s 2.38s
% Output   : Proof 38.68s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : NUM473+2 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13  % Command  : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.12/0.34  % Computer : n022.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Fri Aug 25 13:58:10 EDT 2023
% 0.12/0.34  % 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/sandbox/benchmark/theBenchmark.p ...
% 0.20/0.62  Running up to 7 provers in parallel.
% 0.20/0.63  Prover 3: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.20/0.63  Prover 2: Options:  +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.20/0.63  Prover 1: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.20/0.63  Prover 4: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.20/0.63  Prover 0: Options:  +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.20/0.63  Prover 5: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.20/0.63  Prover 6: Options:  -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 3.26/1.20  Prover 4: Preprocessing ...
% 3.26/1.20  Prover 1: Preprocessing ...
% 3.62/1.24  Prover 3: Preprocessing ...
% 3.62/1.24  Prover 0: Preprocessing ...
% 3.62/1.24  Prover 5: Preprocessing ...
% 3.62/1.24  Prover 6: Preprocessing ...
% 3.62/1.25  Prover 2: Preprocessing ...
% 8.39/1.86  Prover 3: Constructing countermodel ...
% 8.39/1.87  Prover 1: Constructing countermodel ...
% 8.73/1.90  Prover 6: Proving ...
% 9.13/2.03  Prover 5: Constructing countermodel ...
% 9.13/2.14  Prover 2: Proving ...
% 11.05/2.22  Prover 4: Constructing countermodel ...
% 11.45/2.27  Prover 0: Proving ...
% 12.11/2.37  Prover 3: proved (1743ms)
% 12.11/2.37  
% 12.11/2.38  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.11/2.38  
% 12.11/2.38  Prover 6: stopped
% 12.11/2.38  Prover 2: stopped
% 12.37/2.39  Prover 0: stopped
% 12.37/2.40  Prover 7: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 12.37/2.40  Prover 5: stopped
% 12.37/2.40  Prover 8: Options:  +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 12.37/2.40  Prover 11: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 12.37/2.40  Prover 13: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 12.37/2.40  Prover 10: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 12.86/2.48  Prover 7: Preprocessing ...
% 12.86/2.49  Prover 13: Preprocessing ...
% 13.31/2.53  Prover 8: Preprocessing ...
% 13.31/2.54  Prover 10: Preprocessing ...
% 13.31/2.54  Prover 11: Preprocessing ...
% 14.31/2.66  Prover 10: Constructing countermodel ...
% 14.58/2.69  Prover 7: Constructing countermodel ...
% 14.58/2.69  Prover 8: Warning: ignoring some quantifiers
% 14.58/2.71  Prover 8: Constructing countermodel ...
% 14.58/2.74  Prover 13: Constructing countermodel ...
% 16.17/2.95  Prover 11: Constructing countermodel ...
% 36.06/5.70  Prover 1: Found proof (size 650)
% 36.06/5.70  Prover 1: proved (5074ms)
% 36.06/5.70  Prover 4: stopped
% 36.06/5.70  Prover 11: stopped
% 36.06/5.70  Prover 7: stopped
% 36.06/5.70  Prover 8: stopped
% 36.06/5.70  Prover 10: stopped
% 36.06/5.71  Prover 13: stopped
% 36.06/5.71  
% 36.06/5.71  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 36.06/5.71  
% 36.96/5.76  % SZS output start Proof for theBenchmark
% 36.96/5.77  Assumptions after simplification:
% 36.96/5.77  ---------------------------------
% 36.96/5.77  
% 36.96/5.77    (mAddComm)
% 36.96/5.80     ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] : ( ~ (sdtpldt0(v0, v1) = v2) |  ~
% 36.96/5.80      $i(v1) |  ~ $i(v0) |  ? [v3: any] :  ? [v4: any] :  ? [v5: $i] :
% 36.96/5.80      (sdtpldt0(v1, v0) = v5 & aNaturalNumber0(v1) = v4 & aNaturalNumber0(v0) = v3
% 36.96/5.80        & $i(v5) & ( ~ (v4 = 0) |  ~ (v3 = 0) | v5 = v2)))
% 36.96/5.80  
% 36.96/5.80    (mDefDiv)
% 36.96/5.80     ! [v0: $i] :  ! [v1: $i] :  ! [v2: any] : ( ~ (doDivides0(v0, v1) = v2) |  ~
% 36.96/5.80      $i(v1) |  ~ $i(v0) |  ? [v3: any] :  ? [v4: any] : (aNaturalNumber0(v1) = v4
% 36.96/5.80        & aNaturalNumber0(v0) = v3 & ( ~ (v4 = 0) |  ~ (v3 = 0))) | (( ~ (v2 = 0)
% 36.96/5.80          |  ? [v3: $i] : (sdtasdt0(v0, v3) = v1 & aNaturalNumber0(v3) = 0 &
% 36.96/5.80            $i(v3))) & (v2 = 0 |  ! [v3: $i] : ( ~ (sdtasdt0(v0, v3) = v1) |  ~
% 36.96/5.80            $i(v3) |  ? [v4: int] : ( ~ (v4 = 0) & aNaturalNumber0(v3) = v4)))))
% 36.96/5.80  
% 36.96/5.80    (mDefLE)
% 36.96/5.80     ! [v0: $i] :  ! [v1: $i] :  ! [v2: any] : ( ~ (sdtlseqdt0(v0, v1) = v2) |  ~
% 36.96/5.80      $i(v1) |  ~ $i(v0) |  ? [v3: any] :  ? [v4: any] : (aNaturalNumber0(v1) = v4
% 36.96/5.80        & aNaturalNumber0(v0) = v3 & ( ~ (v4 = 0) |  ~ (v3 = 0))) | (( ~ (v2 = 0)
% 36.96/5.80          |  ? [v3: $i] : (sdtpldt0(v0, v3) = v1 & aNaturalNumber0(v3) = 0 &
% 36.96/5.80            $i(v3))) & (v2 = 0 |  ! [v3: $i] : ( ~ (sdtpldt0(v0, v3) = v1) |  ~
% 36.96/5.80            $i(v3) |  ? [v4: int] : ( ~ (v4 = 0) & aNaturalNumber0(v3) = v4)))))
% 36.96/5.80  
% 36.96/5.80    (mDefQuot)
% 36.96/5.81    $i(sz00) &  ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] : (v0 = sz00 |  ~
% 36.96/5.81      (sdtsldt0(v1, v0) = v2) |  ~ $i(v1) |  ~ $i(v0) |  ? [v3: any] :  ? [v4:
% 36.96/5.81        any] :  ? [v5: any] : (doDivides0(v0, v1) = v5 & aNaturalNumber0(v1) = v4
% 36.96/5.81        & aNaturalNumber0(v0) = v3 & ( ~ (v5 = 0) |  ~ (v4 = 0) |  ~ (v3 = 0))) |
% 36.96/5.81      ( ! [v3: $i] : (v3 = v2 |  ~ (sdtasdt0(v0, v3) = v1) |  ~ $i(v3) |  ? [v4:
% 36.96/5.81            int] : ( ~ (v4 = 0) & aNaturalNumber0(v3) = v4)) &  ! [v3: $i] : ( ~
% 36.96/5.81          (sdtasdt0(v0, v2) = v3) |  ~ $i(v2) | (v3 = v1 & aNaturalNumber0(v2) =
% 36.96/5.81            0))))
% 36.96/5.81  
% 36.96/5.81    (mLEAsym)
% 36.96/5.81     ! [v0: $i] :  ! [v1: $i] : (v1 = v0 |  ~ (sdtlseqdt0(v0, v1) = 0) |  ~ $i(v1)
% 36.96/5.81      |  ~ $i(v0) |  ? [v2: any] :  ? [v3: any] :  ? [v4: any] : (sdtlseqdt0(v1,
% 36.96/5.81          v0) = v4 & aNaturalNumber0(v1) = v3 & aNaturalNumber0(v0) = v2 & ( ~ (v4
% 36.96/5.81            = 0) |  ~ (v3 = 0) |  ~ (v2 = 0))))
% 36.96/5.81  
% 36.96/5.81    (mLETotal)
% 36.96/5.81     ! [v0: $i] :  ! [v1: $i] :  ! [v2: int] : (v2 = 0 |  ~ (sdtlseqdt0(v0, v1) =
% 36.96/5.81        v2) |  ~ $i(v1) |  ~ $i(v0) |  ? [v3: any] :  ? [v4: any] :  ? [v5: any] :
% 36.96/5.81      (sdtlseqdt0(v1, v0) = v5 & aNaturalNumber0(v1) = v4 & aNaturalNumber0(v0) =
% 36.96/5.81        v3 & ( ~ (v4 = 0) |  ~ (v3 = 0) | (v5 = 0 &  ~ (v1 = v0)))))
% 36.96/5.81  
% 36.96/5.81    (mMonMul)
% 36.96/5.81    $i(sz00) &  ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] :  ! [v4: $i]
% 36.96/5.81    :  ! [v5: any] : (v2 = v1 | v0 = sz00 |  ~ (sdtlseqdt0(v3, v4) = v5) |  ~
% 36.96/5.81      (sdtasdt0(v0, v2) = v4) |  ~ (sdtasdt0(v0, v1) = v3) |  ~ $i(v2) |  ~ $i(v1)
% 36.96/5.81      |  ~ $i(v0) |  ? [v6: any] :  ? [v7: any] :  ? [v8: any] :  ? [v9: any] :  ?
% 36.96/5.81      [v10: $i] :  ? [v11: $i] :  ? [v12: any] : (sdtlseqdt0(v10, v11) = v12 &
% 36.96/5.81        sdtlseqdt0(v1, v2) = v9 & sdtasdt0(v2, v0) = v11 & sdtasdt0(v1, v0) = v10
% 36.96/5.81        & aNaturalNumber0(v2) = v8 & aNaturalNumber0(v1) = v7 &
% 36.96/5.81        aNaturalNumber0(v0) = v6 & $i(v11) & $i(v10) & ( ~ (v9 = 0) |  ~ (v8 = 0)
% 36.96/5.81          |  ~ (v7 = 0) |  ~ (v6 = 0) | (v12 = 0 & v5 = 0 &  ~ (v11 = v10) &  ~
% 36.96/5.81            (v4 = v3)))))
% 36.96/5.81  
% 36.96/5.81    (mMulCanc)
% 37.90/5.82    $i(sz00) &  ! [v0: $i] : (v0 = sz00 |  ~ (aNaturalNumber0(v0) = 0) |  ~ $i(v0)
% 37.90/5.82      |  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] :  ! [v4: $i] : (v2 = v1 |  ~
% 37.90/5.82        (sdtasdt0(v0, v2) = v4) |  ~ (sdtasdt0(v0, v1) = v3) |  ~ $i(v2) |  ~
% 37.90/5.82        $i(v1) |  ? [v5: any] :  ? [v6: any] :  ? [v7: $i] :  ? [v8: $i] :
% 37.90/5.82        (sdtasdt0(v2, v0) = v8 & sdtasdt0(v1, v0) = v7 & aNaturalNumber0(v2) = v6
% 37.90/5.82          & aNaturalNumber0(v1) = v5 & $i(v8) & $i(v7) & ( ~ (v6 = 0) |  ~ (v5 =
% 37.90/5.82              0) | ( ~ (v8 = v7) &  ~ (v4 = v3))))))
% 37.90/5.82  
% 37.90/5.82    (mMulComm)
% 37.90/5.82     ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] : ( ~ (sdtasdt0(v0, v1) = v2) |  ~
% 37.90/5.82      $i(v1) |  ~ $i(v0) |  ? [v3: any] :  ? [v4: any] :  ? [v5: $i] :
% 37.90/5.82      (sdtasdt0(v1, v0) = v5 & aNaturalNumber0(v1) = v4 & aNaturalNumber0(v0) = v3
% 37.90/5.82        & $i(v5) & ( ~ (v4 = 0) |  ~ (v3 = 0) | v5 = v2)))
% 37.90/5.82  
% 37.90/5.82    (mSortsB)
% 37.90/5.82     ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] : ( ~ (sdtpldt0(v0, v1) = v2) |  ~
% 37.90/5.82      $i(v1) |  ~ $i(v0) |  ? [v3: any] :  ? [v4: any] :  ? [v5: any] :
% 37.90/5.82      (aNaturalNumber0(v2) = v5 & aNaturalNumber0(v1) = v4 & aNaturalNumber0(v0) =
% 37.90/5.82        v3 & ( ~ (v4 = 0) |  ~ (v3 = 0) | v5 = 0)))
% 37.90/5.82  
% 37.90/5.82    (mSortsB_02)
% 37.90/5.82     ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] : ( ~ (sdtasdt0(v0, v1) = v2) |  ~
% 37.90/5.82      $i(v1) |  ~ $i(v0) |  ? [v3: any] :  ? [v4: any] :  ? [v5: any] :
% 37.90/5.82      (aNaturalNumber0(v2) = v5 & aNaturalNumber0(v1) = v4 & aNaturalNumber0(v0) =
% 37.90/5.82        v3 & ( ~ (v4 = 0) |  ~ (v3 = 0) | v5 = 0)))
% 37.90/5.82  
% 37.90/5.82    (m__)
% 37.90/5.82    $i(xq) & $i(xp) &  ? [v0: int] : ( ~ (v0 = 0) & sdtlseqdt0(xp, xq) = v0 &  !
% 37.90/5.82      [v1: $i] : ( ~ (sdtpldt0(xp, v1) = xq) |  ~ $i(v1) |  ? [v2: int] : ( ~ (v2
% 37.90/5.82            = 0) & aNaturalNumber0(v1) = v2)))
% 37.90/5.82  
% 37.90/5.82    (m__1324)
% 37.90/5.82    aNaturalNumber0(xn) = 0 & aNaturalNumber0(xm) = 0 & aNaturalNumber0(xl) = 0 &
% 37.90/5.82    $i(xn) & $i(xm) & $i(xl)
% 37.90/5.82  
% 37.90/5.82    (m__1324_04)
% 37.90/5.82    $i(xn) & $i(xm) & $i(xl) &  ? [v0: $i] : (doDivides0(xl, v0) = 0 &
% 37.90/5.82      doDivides0(xl, xm) = 0 & sdtpldt0(xm, xn) = v0 & $i(v0) &  ? [v1: $i] :
% 37.90/5.82      (sdtasdt0(xl, v1) = v0 & aNaturalNumber0(v1) = 0 & $i(v1)) &  ? [v1: $i] :
% 37.90/5.82      (sdtasdt0(xl, v1) = xm & aNaturalNumber0(v1) = 0 & $i(v1)))
% 37.90/5.82  
% 37.90/5.82    (m__1347)
% 37.90/5.82     ~ (xl = sz00) & $i(xl) & $i(sz00)
% 37.90/5.82  
% 37.90/5.82    (m__1360)
% 37.90/5.82    sdtsldt0(xm, xl) = xp & sdtasdt0(xl, xp) = xm & aNaturalNumber0(xp) = 0 &
% 37.90/5.82    $i(xp) & $i(xm) & $i(xl)
% 37.90/5.82  
% 37.90/5.82    (m__1379)
% 37.90/5.82    $i(xq) & $i(xn) & $i(xm) & $i(xl) &  ? [v0: $i] : (sdtsldt0(v0, xl) = xq &
% 37.90/5.82      sdtasdt0(xl, xq) = v0 & sdtpldt0(xm, xn) = v0 & aNaturalNumber0(xq) = 0 &
% 37.90/5.82      $i(v0))
% 37.90/5.82  
% 37.90/5.82    (m__1409)
% 37.90/5.82    $i(xn) & $i(xm) &  ? [v0: $i] : (sdtlseqdt0(xm, v0) = 0 & sdtpldt0(xm, xn) =
% 37.90/5.82      v0 & $i(v0) &  ? [v1: $i] : (sdtpldt0(xm, v1) = v0 & aNaturalNumber0(v1) = 0
% 37.90/5.82        & $i(v1)))
% 37.90/5.82  
% 37.90/5.82    (function-axioms)
% 37.90/5.83     ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 37.90/5.83      (sdtsldt0(v3, v2) = v1) |  ~ (sdtsldt0(v3, v2) = v0)) &  ! [v0:
% 37.90/5.83      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] :  ! [v3: $i]
% 37.90/5.83    : (v1 = v0 |  ~ (doDivides0(v3, v2) = v1) |  ~ (doDivides0(v3, v2) = v0)) &  !
% 37.90/5.83    [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] :  ! [v3:
% 37.90/5.83      $i] : (v1 = v0 |  ~ (iLess0(v3, v2) = v1) |  ~ (iLess0(v3, v2) = v0)) &  !
% 37.90/5.83    [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 37.90/5.83      (sdtmndt0(v3, v2) = v1) |  ~ (sdtmndt0(v3, v2) = v0)) &  ! [v0:
% 37.90/5.83      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] :  ! [v3: $i]
% 37.90/5.83    : (v1 = v0 |  ~ (sdtlseqdt0(v3, v2) = v1) |  ~ (sdtlseqdt0(v3, v2) = v0)) &  !
% 37.90/5.83    [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 37.90/5.83      (sdtasdt0(v3, v2) = v1) |  ~ (sdtasdt0(v3, v2) = v0)) &  ! [v0: $i] :  !
% 37.90/5.83    [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~ (sdtpldt0(v3, v2) = v1) |
% 37.90/5.83       ~ (sdtpldt0(v3, v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1:
% 37.90/5.83      MultipleValueBool] :  ! [v2: $i] : (v1 = v0 |  ~ (aNaturalNumber0(v2) = v1)
% 37.90/5.83      |  ~ (aNaturalNumber0(v2) = v0))
% 37.90/5.83  
% 37.90/5.83  Further assumptions not needed in the proof:
% 37.90/5.83  --------------------------------------------
% 37.90/5.83  mAMDistr, mAddAsso, mAddCanc, mDefDiff, mDivSum, mDivTrans, mIH, mIH_03, mLENTr,
% 37.90/5.83  mLERefl, mLETran, mMonAdd, mMonMul2, mMulAsso, mNatSort, mSortsC, mSortsC_01,
% 37.90/5.83  mZeroAdd, mZeroMul, m_AddZero, m_MulUnit, m_MulZero
% 37.90/5.83  
% 37.90/5.83  Those formulas are unsatisfiable:
% 37.90/5.83  ---------------------------------
% 37.90/5.83  
% 37.90/5.83  Begin of proof
% 37.90/5.83  | 
% 37.90/5.83  | ALPHA: (mMulCanc) implies:
% 37.90/5.83  |   (1)   ! [v0: $i] : (v0 = sz00 |  ~ (aNaturalNumber0(v0) = 0) |  ~ $i(v0) | 
% 37.90/5.83  |          ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] :  ! [v4: $i] : (v2 = v1 |  ~
% 37.90/5.83  |            (sdtasdt0(v0, v2) = v4) |  ~ (sdtasdt0(v0, v1) = v3) |  ~ $i(v2) | 
% 37.90/5.83  |            ~ $i(v1) |  ? [v5: any] :  ? [v6: any] :  ? [v7: $i] :  ? [v8: $i]
% 37.90/5.83  |            : (sdtasdt0(v2, v0) = v8 & sdtasdt0(v1, v0) = v7 &
% 37.90/5.83  |              aNaturalNumber0(v2) = v6 & aNaturalNumber0(v1) = v5 & $i(v8) &
% 37.90/5.83  |              $i(v7) & ( ~ (v6 = 0) |  ~ (v5 = 0) | ( ~ (v8 = v7) &  ~ (v4 =
% 37.90/5.83  |                    v3))))))
% 37.90/5.83  | 
% 37.90/5.83  | ALPHA: (mMonMul) implies:
% 37.90/5.83  |   (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] :  ! [v4: $i] : 
% 37.90/5.83  |        ! [v5: any] : (v2 = v1 | v0 = sz00 |  ~ (sdtlseqdt0(v3, v4) = v5) |  ~
% 37.90/5.83  |          (sdtasdt0(v0, v2) = v4) |  ~ (sdtasdt0(v0, v1) = v3) |  ~ $i(v2) |  ~
% 37.90/5.83  |          $i(v1) |  ~ $i(v0) |  ? [v6: any] :  ? [v7: any] :  ? [v8: any] :  ?
% 37.90/5.83  |          [v9: any] :  ? [v10: $i] :  ? [v11: $i] :  ? [v12: any] :
% 37.90/5.83  |          (sdtlseqdt0(v10, v11) = v12 & sdtlseqdt0(v1, v2) = v9 & sdtasdt0(v2,
% 37.90/5.83  |              v0) = v11 & sdtasdt0(v1, v0) = v10 & aNaturalNumber0(v2) = v8 &
% 37.90/5.83  |            aNaturalNumber0(v1) = v7 & aNaturalNumber0(v0) = v6 & $i(v11) &
% 37.90/5.83  |            $i(v10) & ( ~ (v9 = 0) |  ~ (v8 = 0) |  ~ (v7 = 0) |  ~ (v6 = 0) |
% 37.90/5.83  |              (v12 = 0 & v5 = 0 &  ~ (v11 = v10) &  ~ (v4 = v3)))))
% 37.90/5.83  | 
% 37.90/5.84  | ALPHA: (mDefQuot) implies:
% 37.90/5.84  |   (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] : (v0 = sz00 |  ~ (sdtsldt0(v1,
% 37.90/5.84  |              v0) = v2) |  ~ $i(v1) |  ~ $i(v0) |  ? [v3: any] :  ? [v4: any] :
% 37.90/5.84  |           ? [v5: any] : (doDivides0(v0, v1) = v5 & aNaturalNumber0(v1) = v4 &
% 37.90/5.84  |            aNaturalNumber0(v0) = v3 & ( ~ (v5 = 0) |  ~ (v4 = 0) |  ~ (v3 =
% 37.90/5.84  |                0))) | ( ! [v3: $i] : (v3 = v2 |  ~ (sdtasdt0(v0, v3) = v1) | 
% 37.90/5.84  |              ~ $i(v3) |  ? [v4: int] : ( ~ (v4 = 0) & aNaturalNumber0(v3) =
% 37.90/5.84  |                v4)) &  ! [v3: $i] : ( ~ (sdtasdt0(v0, v2) = v3) |  ~ $i(v2) |
% 37.90/5.84  |              (v3 = v1 & aNaturalNumber0(v2) = 0))))
% 37.90/5.84  | 
% 37.90/5.84  | ALPHA: (m__1324) implies:
% 37.90/5.84  |   (4)  aNaturalNumber0(xl) = 0
% 37.90/5.84  |   (5)  aNaturalNumber0(xm) = 0
% 37.90/5.84  |   (6)  aNaturalNumber0(xn) = 0
% 37.90/5.84  | 
% 37.90/5.84  | ALPHA: (m__1324_04) implies:
% 37.90/5.84  |   (7)   ? [v0: $i] : (doDivides0(xl, v0) = 0 & doDivides0(xl, xm) = 0 &
% 37.90/5.84  |          sdtpldt0(xm, xn) = v0 & $i(v0) &  ? [v1: $i] : (sdtasdt0(xl, v1) = v0
% 37.90/5.84  |            & aNaturalNumber0(v1) = 0 & $i(v1)) &  ? [v1: $i] : (sdtasdt0(xl,
% 37.90/5.84  |              v1) = xm & aNaturalNumber0(v1) = 0 & $i(v1)))
% 37.90/5.84  | 
% 37.90/5.84  | ALPHA: (m__1347) implies:
% 37.90/5.84  |   (8)   ~ (xl = sz00)
% 37.90/5.84  | 
% 37.90/5.84  | ALPHA: (m__1360) implies:
% 37.90/5.84  |   (9)  aNaturalNumber0(xp) = 0
% 37.90/5.84  |   (10)  sdtasdt0(xl, xp) = xm
% 37.90/5.84  |   (11)  sdtsldt0(xm, xl) = xp
% 37.90/5.84  | 
% 37.90/5.84  | ALPHA: (m__1379) implies:
% 37.90/5.84  |   (12)  $i(xl)
% 37.90/5.84  |   (13)   ? [v0: $i] : (sdtsldt0(v0, xl) = xq & sdtasdt0(xl, xq) = v0 &
% 37.90/5.84  |           sdtpldt0(xm, xn) = v0 & aNaturalNumber0(xq) = 0 & $i(v0))
% 37.90/5.84  | 
% 37.90/5.84  | ALPHA: (m__1409) implies:
% 37.90/5.84  |   (14)  $i(xm)
% 37.90/5.84  |   (15)  $i(xn)
% 37.90/5.84  |   (16)   ? [v0: $i] : (sdtlseqdt0(xm, v0) = 0 & sdtpldt0(xm, xn) = v0 & $i(v0)
% 37.90/5.84  |           &  ? [v1: $i] : (sdtpldt0(xm, v1) = v0 & aNaturalNumber0(v1) = 0 &
% 37.90/5.84  |             $i(v1)))
% 37.90/5.84  | 
% 37.90/5.84  | ALPHA: (m__) implies:
% 37.90/5.84  |   (17)  $i(xp)
% 37.90/5.84  |   (18)  $i(xq)
% 37.90/5.84  |   (19)   ? [v0: int] : ( ~ (v0 = 0) & sdtlseqdt0(xp, xq) = v0 &  ! [v1: $i] :
% 37.90/5.84  |           ( ~ (sdtpldt0(xp, v1) = xq) |  ~ $i(v1) |  ? [v2: int] : ( ~ (v2 =
% 37.90/5.84  |                 0) & aNaturalNumber0(v1) = v2)))
% 37.90/5.84  | 
% 37.90/5.84  | ALPHA: (function-axioms) implies:
% 37.90/5.84  |   (20)   ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i]
% 37.90/5.84  |         : (v1 = v0 |  ~ (aNaturalNumber0(v2) = v1) |  ~ (aNaturalNumber0(v2) =
% 37.90/5.84  |             v0))
% 37.90/5.84  |   (21)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 37.90/5.84  |           (sdtpldt0(v3, v2) = v1) |  ~ (sdtpldt0(v3, v2) = v0))
% 37.90/5.85  |   (22)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 37.90/5.85  |           (sdtasdt0(v3, v2) = v1) |  ~ (sdtasdt0(v3, v2) = v0))
% 37.90/5.85  |   (23)   ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i]
% 37.90/5.85  |         :  ! [v3: $i] : (v1 = v0 |  ~ (sdtlseqdt0(v3, v2) = v1) |  ~
% 37.90/5.85  |           (sdtlseqdt0(v3, v2) = v0))
% 37.90/5.85  |   (24)   ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i]
% 37.90/5.85  |         :  ! [v3: $i] : (v1 = v0 |  ~ (doDivides0(v3, v2) = v1) |  ~
% 37.90/5.85  |           (doDivides0(v3, v2) = v0))
% 37.90/5.85  | 
% 37.90/5.85  | DELTA: instantiating (13) with fresh symbol all_33_0 gives:
% 37.90/5.85  |   (25)  sdtsldt0(all_33_0, xl) = xq & sdtasdt0(xl, xq) = all_33_0 &
% 37.90/5.85  |         sdtpldt0(xm, xn) = all_33_0 & aNaturalNumber0(xq) = 0 & $i(all_33_0)
% 37.90/5.85  | 
% 37.90/5.85  | ALPHA: (25) implies:
% 37.90/5.85  |   (26)  aNaturalNumber0(xq) = 0
% 37.90/5.85  |   (27)  sdtpldt0(xm, xn) = all_33_0
% 37.90/5.85  |   (28)  sdtasdt0(xl, xq) = all_33_0
% 37.90/5.85  |   (29)  sdtsldt0(all_33_0, xl) = xq
% 37.90/5.85  | 
% 37.90/5.85  | DELTA: instantiating (19) with fresh symbol all_35_0 gives:
% 37.90/5.85  |   (30)   ~ (all_35_0 = 0) & sdtlseqdt0(xp, xq) = all_35_0 &  ! [v0: $i] : ( ~
% 37.90/5.85  |           (sdtpldt0(xp, v0) = xq) |  ~ $i(v0) |  ? [v1: int] : ( ~ (v1 = 0) &
% 37.90/5.85  |             aNaturalNumber0(v0) = v1))
% 37.90/5.85  | 
% 37.90/5.85  | ALPHA: (30) implies:
% 37.90/5.85  |   (31)   ~ (all_35_0 = 0)
% 37.90/5.85  |   (32)  sdtlseqdt0(xp, xq) = all_35_0
% 37.90/5.85  | 
% 37.90/5.85  | DELTA: instantiating (16) with fresh symbol all_38_0 gives:
% 37.90/5.85  |   (33)  sdtlseqdt0(xm, all_38_0) = 0 & sdtpldt0(xm, xn) = all_38_0 &
% 37.90/5.85  |         $i(all_38_0) &  ? [v0: $i] : (sdtpldt0(xm, v0) = all_38_0 &
% 37.90/5.85  |           aNaturalNumber0(v0) = 0 & $i(v0))
% 37.90/5.85  | 
% 37.90/5.85  | ALPHA: (33) implies:
% 37.90/5.85  |   (34)  $i(all_38_0)
% 37.90/5.85  |   (35)  sdtpldt0(xm, xn) = all_38_0
% 37.90/5.85  |   (36)  sdtlseqdt0(xm, all_38_0) = 0
% 37.90/5.85  |   (37)   ? [v0: $i] : (sdtpldt0(xm, v0) = all_38_0 & aNaturalNumber0(v0) = 0 &
% 37.90/5.85  |           $i(v0))
% 37.90/5.85  | 
% 37.90/5.85  | DELTA: instantiating (7) with fresh symbol all_40_0 gives:
% 37.90/5.85  |   (38)  doDivides0(xl, all_40_0) = 0 & doDivides0(xl, xm) = 0 & sdtpldt0(xm,
% 37.90/5.85  |           xn) = all_40_0 & $i(all_40_0) &  ? [v0: $i] : (sdtasdt0(xl, v0) =
% 37.90/5.85  |           all_40_0 & aNaturalNumber0(v0) = 0 & $i(v0)) &  ? [v0: $i] :
% 37.90/5.85  |         (sdtasdt0(xl, v0) = xm & aNaturalNumber0(v0) = 0 & $i(v0))
% 37.90/5.85  | 
% 37.90/5.85  | ALPHA: (38) implies:
% 37.90/5.85  |   (39)  sdtpldt0(xm, xn) = all_40_0
% 37.90/5.85  |   (40)  doDivides0(xl, all_40_0) = 0
% 37.90/5.85  |   (41)   ? [v0: $i] : (sdtasdt0(xl, v0) = xm & aNaturalNumber0(v0) = 0 &
% 37.90/5.85  |           $i(v0))
% 37.90/5.85  |   (42)   ? [v0: $i] : (sdtasdt0(xl, v0) = all_40_0 & aNaturalNumber0(v0) = 0 &
% 37.90/5.85  |           $i(v0))
% 37.90/5.85  | 
% 37.90/5.85  | DELTA: instantiating (37) with fresh symbol all_42_0 gives:
% 37.90/5.85  |   (43)  sdtpldt0(xm, all_42_0) = all_38_0 & aNaturalNumber0(all_42_0) = 0 &
% 37.90/5.85  |         $i(all_42_0)
% 37.90/5.85  | 
% 37.90/5.85  | ALPHA: (43) implies:
% 37.90/5.85  |   (44)  $i(all_42_0)
% 37.90/5.85  |   (45)  sdtpldt0(xm, all_42_0) = all_38_0
% 37.90/5.85  | 
% 37.90/5.86  | DELTA: instantiating (41) with fresh symbol all_44_0 gives:
% 37.90/5.86  |   (46)  sdtasdt0(xl, all_44_0) = xm & aNaturalNumber0(all_44_0) = 0 &
% 37.90/5.86  |         $i(all_44_0)
% 37.90/5.86  | 
% 37.90/5.86  | ALPHA: (46) implies:
% 37.90/5.86  |   (47)  $i(all_44_0)
% 37.90/5.86  |   (48)  aNaturalNumber0(all_44_0) = 0
% 37.90/5.86  |   (49)  sdtasdt0(xl, all_44_0) = xm
% 37.90/5.86  | 
% 37.90/5.86  | DELTA: instantiating (42) with fresh symbol all_46_0 gives:
% 37.90/5.86  |   (50)  sdtasdt0(xl, all_46_0) = all_40_0 & aNaturalNumber0(all_46_0) = 0 &
% 37.90/5.86  |         $i(all_46_0)
% 37.90/5.86  | 
% 37.90/5.86  | ALPHA: (50) implies:
% 37.90/5.86  |   (51)  $i(all_46_0)
% 37.90/5.86  |   (52)  aNaturalNumber0(all_46_0) = 0
% 37.90/5.86  |   (53)  sdtasdt0(xl, all_46_0) = all_40_0
% 37.90/5.86  | 
% 37.90/5.86  | GROUND_INST: instantiating (21) with all_38_0, all_40_0, xn, xm, simplifying
% 37.90/5.86  |              with (35), (39) gives:
% 37.90/5.86  |   (54)  all_40_0 = all_38_0
% 37.90/5.86  | 
% 37.90/5.86  | GROUND_INST: instantiating (21) with all_33_0, all_40_0, xn, xm, simplifying
% 37.90/5.86  |              with (27), (39) gives:
% 37.90/5.86  |   (55)  all_40_0 = all_33_0
% 37.90/5.86  | 
% 37.90/5.86  | COMBINE_EQS: (54), (55) imply:
% 37.90/5.86  |   (56)  all_38_0 = all_33_0
% 37.90/5.86  | 
% 37.90/5.86  | SIMP: (56) implies:
% 37.90/5.86  |   (57)  all_38_0 = all_33_0
% 37.90/5.86  | 
% 37.90/5.86  | REDUCE: (40), (55) imply:
% 37.90/5.86  |   (58)  doDivides0(xl, all_33_0) = 0
% 37.90/5.86  | 
% 37.90/5.86  | REDUCE: (36), (57) imply:
% 37.90/5.86  |   (59)  sdtlseqdt0(xm, all_33_0) = 0
% 37.90/5.86  | 
% 37.90/5.86  | REDUCE: (53), (55) imply:
% 37.90/5.86  |   (60)  sdtasdt0(xl, all_46_0) = all_33_0
% 37.90/5.86  | 
% 37.90/5.86  | REDUCE: (45), (57) imply:
% 37.90/5.86  |   (61)  sdtpldt0(xm, all_42_0) = all_33_0
% 37.90/5.86  | 
% 37.90/5.86  | REDUCE: (34), (57) imply:
% 37.90/5.86  |   (62)  $i(all_33_0)
% 37.90/5.86  | 
% 37.90/5.86  | GROUND_INST: instantiating (1) with xl, simplifying with (4), (12) gives:
% 37.90/5.86  |   (63)  xl = sz00 |  ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] :
% 37.90/5.86  |         (v1 = v0 |  ~ (sdtasdt0(xl, v1) = v3) |  ~ (sdtasdt0(xl, v0) = v2) | 
% 37.90/5.86  |           ~ $i(v1) |  ~ $i(v0) |  ? [v4: any] :  ? [v5: any] :  ? [v6: $i] : 
% 37.90/5.86  |           ? [v7: $i] : (sdtasdt0(v1, xl) = v7 & sdtasdt0(v0, xl) = v6 &
% 37.90/5.86  |             aNaturalNumber0(v1) = v5 & aNaturalNumber0(v0) = v4 & $i(v7) &
% 37.90/5.86  |             $i(v6) & ( ~ (v5 = 0) |  ~ (v4 = 0) | ( ~ (v7 = v6) &  ~ (v3 =
% 37.90/5.86  |                   v2)))))
% 37.90/5.86  | 
% 37.90/5.86  | GROUND_INST: instantiating (mAddComm) with xm, xn, all_33_0, simplifying with
% 37.90/5.86  |              (14), (15), (27) gives:
% 37.90/5.86  |   (64)   ? [v0: any] :  ? [v1: any] :  ? [v2: $i] : (sdtpldt0(xn, xm) = v2 &
% 37.90/5.86  |           aNaturalNumber0(xn) = v1 & aNaturalNumber0(xm) = v0 & $i(v2) & ( ~
% 37.90/5.86  |             (v1 = 0) |  ~ (v0 = 0) | v2 = all_33_0))
% 37.90/5.86  | 
% 37.90/5.86  | GROUND_INST: instantiating (mSortsB) with xm, xn, all_33_0, simplifying with
% 37.90/5.86  |              (14), (15), (27) gives:
% 37.90/5.86  |   (65)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :
% 37.90/5.86  |         (aNaturalNumber0(all_33_0) = v2 & aNaturalNumber0(xn) = v1 &
% 37.90/5.86  |           aNaturalNumber0(xm) = v0 & ( ~ (v1 = 0) |  ~ (v0 = 0) | v2 = 0))
% 37.90/5.86  | 
% 37.90/5.86  | GROUND_INST: instantiating (mAddComm) with xm, all_42_0, all_33_0, simplifying
% 37.90/5.86  |              with (14), (44), (61) gives:
% 37.90/5.87  |   (66)   ? [v0: any] :  ? [v1: any] :  ? [v2: $i] : (sdtpldt0(all_42_0, xm) =
% 37.90/5.87  |           v2 & aNaturalNumber0(all_42_0) = v1 & aNaturalNumber0(xm) = v0 &
% 37.90/5.87  |           $i(v2) & ( ~ (v1 = 0) |  ~ (v0 = 0) | v2 = all_33_0))
% 37.90/5.87  | 
% 37.90/5.87  | GROUND_INST: instantiating (mSortsB) with xm, all_42_0, all_33_0, simplifying
% 37.90/5.87  |              with (14), (44), (61) gives:
% 37.90/5.87  |   (67)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :
% 37.90/5.87  |         (aNaturalNumber0(all_42_0) = v1 & aNaturalNumber0(all_33_0) = v2 &
% 37.90/5.87  |           aNaturalNumber0(xm) = v0 & ( ~ (v1 = 0) |  ~ (v0 = 0) | v2 = 0))
% 37.90/5.87  | 
% 37.90/5.87  | GROUND_INST: instantiating (mMulComm) with xl, xp, xm, simplifying with (10),
% 37.90/5.87  |              (12), (17) gives:
% 37.90/5.87  |   (68)   ? [v0: any] :  ? [v1: any] :  ? [v2: $i] : (sdtasdt0(xp, xl) = v2 &
% 37.90/5.87  |           aNaturalNumber0(xp) = v1 & aNaturalNumber0(xl) = v0 & $i(v2) & ( ~
% 37.90/5.87  |             (v1 = 0) |  ~ (v0 = 0) | v2 = xm))
% 37.90/5.87  | 
% 37.90/5.87  | GROUND_INST: instantiating (mMulComm) with xl, xq, all_33_0, simplifying with
% 37.90/5.87  |              (12), (18), (28) gives:
% 37.90/5.87  |   (69)   ? [v0: any] :  ? [v1: any] :  ? [v2: $i] : (sdtasdt0(xq, xl) = v2 &
% 37.90/5.87  |           aNaturalNumber0(xq) = v1 & aNaturalNumber0(xl) = v0 & $i(v2) & ( ~
% 37.90/5.87  |             (v1 = 0) |  ~ (v0 = 0) | v2 = all_33_0))
% 37.90/5.87  | 
% 37.90/5.87  | GROUND_INST: instantiating (mSortsB_02) with xl, xq, all_33_0, simplifying
% 37.90/5.87  |              with (12), (18), (28) gives:
% 37.90/5.87  |   (70)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :
% 37.90/5.87  |         (aNaturalNumber0(all_33_0) = v2 & aNaturalNumber0(xq) = v1 &
% 37.90/5.87  |           aNaturalNumber0(xl) = v0 & ( ~ (v1 = 0) |  ~ (v0 = 0) | v2 = 0))
% 37.90/5.87  | 
% 37.90/5.87  | GROUND_INST: instantiating (mMulComm) with xl, all_44_0, xm, simplifying with
% 37.90/5.87  |              (12), (47), (49) gives:
% 37.90/5.87  |   (71)   ? [v0: any] :  ? [v1: any] :  ? [v2: $i] : (sdtasdt0(all_44_0, xl) =
% 37.90/5.87  |           v2 & aNaturalNumber0(all_44_0) = v1 & aNaturalNumber0(xl) = v0 &
% 37.90/5.87  |           $i(v2) & ( ~ (v1 = 0) |  ~ (v0 = 0) | v2 = xm))
% 37.90/5.87  | 
% 37.90/5.87  | GROUND_INST: instantiating (mMulComm) with xl, all_46_0, all_33_0, simplifying
% 37.90/5.87  |              with (12), (51), (60) gives:
% 37.90/5.87  |   (72)   ? [v0: any] :  ? [v1: any] :  ? [v2: $i] : (sdtasdt0(all_46_0, xl) =
% 37.90/5.87  |           v2 & aNaturalNumber0(all_46_0) = v1 & aNaturalNumber0(xl) = v0 &
% 37.90/5.87  |           $i(v2) & ( ~ (v1 = 0) |  ~ (v0 = 0) | v2 = all_33_0))
% 37.90/5.87  | 
% 37.90/5.87  | GROUND_INST: instantiating (mSortsB_02) with xl, all_46_0, all_33_0,
% 37.90/5.87  |              simplifying with (12), (51), (60) gives:
% 37.90/5.87  |   (73)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :
% 37.90/5.87  |         (aNaturalNumber0(all_46_0) = v1 & aNaturalNumber0(all_33_0) = v2 &
% 37.90/5.87  |           aNaturalNumber0(xl) = v0 & ( ~ (v1 = 0) |  ~ (v0 = 0) | v2 = 0))
% 37.90/5.87  | 
% 37.90/5.87  | GROUND_INST: instantiating (2) with xl, all_44_0, all_46_0, xm, all_33_0, 0,
% 37.90/5.87  |              simplifying with (12), (47), (49), (51), (59), (60) gives:
% 37.90/5.87  |   (74)  all_46_0 = all_44_0 | xl = sz00 |  ? [v0: any] :  ? [v1: any] :  ?
% 37.90/5.87  |         [v2: any] :  ? [v3: any] :  ? [v4: $i] :  ? [v5: $i] :  ? [v6: any] :
% 37.90/5.87  |         (sdtlseqdt0(v4, v5) = v6 & sdtlseqdt0(all_44_0, all_46_0) = v3 &
% 37.90/5.87  |           sdtasdt0(all_46_0, xl) = v5 & sdtasdt0(all_44_0, xl) = v4 &
% 37.90/5.87  |           aNaturalNumber0(all_46_0) = v2 & aNaturalNumber0(all_44_0) = v1 &
% 37.90/5.87  |           aNaturalNumber0(xl) = v0 & $i(v5) & $i(v4) & ( ~ (v3 = 0) |  ~ (v2 =
% 37.90/5.87  |               0) |  ~ (v1 = 0) |  ~ (v0 = 0) | (v6 = 0 &  ~ (v5 = v4) &  ~
% 37.90/5.87  |               (all_33_0 = xm))))
% 37.90/5.87  | 
% 37.90/5.87  | GROUND_INST: instantiating (2) with xl, xp, xq, xm, all_33_0, 0, simplifying
% 37.90/5.87  |              with (10), (12), (17), (18), (28), (59) gives:
% 37.90/5.88  |   (75)  xq = xp | xl = sz00 |  ? [v0: any] :  ? [v1: any] :  ? [v2: any] :  ?
% 37.90/5.88  |         [v3: any] :  ? [v4: $i] :  ? [v5: $i] :  ? [v6: any] : (sdtlseqdt0(v4,
% 37.90/5.88  |             v5) = v6 & sdtlseqdt0(xp, xq) = v3 & sdtasdt0(xq, xl) = v5 &
% 37.90/5.88  |           sdtasdt0(xp, xl) = v4 & aNaturalNumber0(xq) = v2 &
% 37.90/5.88  |           aNaturalNumber0(xp) = v1 & aNaturalNumber0(xl) = v0 & $i(v5) &
% 37.90/5.88  |           $i(v4) & ( ~ (v3 = 0) |  ~ (v2 = 0) |  ~ (v1 = 0) |  ~ (v0 = 0) |
% 37.90/5.88  |             (v6 = 0 &  ~ (v5 = v4) &  ~ (all_33_0 = xm))))
% 37.90/5.88  | 
% 37.90/5.88  | GROUND_INST: instantiating (mLEAsym) with xm, all_33_0, simplifying with (14),
% 37.90/5.88  |              (59), (62) gives:
% 37.90/5.88  |   (76)  all_33_0 = xm |  ? [v0: any] :  ? [v1: any] :  ? [v2: any] :
% 37.90/5.88  |         (sdtlseqdt0(all_33_0, xm) = v2 & aNaturalNumber0(all_33_0) = v1 &
% 37.90/5.88  |           aNaturalNumber0(xm) = v0 & ( ~ (v2 = 0) |  ~ (v1 = 0) |  ~ (v0 =
% 37.90/5.88  |               0)))
% 37.90/5.88  | 
% 37.90/5.88  | GROUND_INST: instantiating (mLETotal) with xp, xq, all_35_0, simplifying with
% 37.90/5.88  |              (17), (18), (32) gives:
% 37.90/5.88  |   (77)  all_35_0 = 0 |  ? [v0: any] :  ? [v1: any] :  ? [v2: any] :
% 37.90/5.88  |         (sdtlseqdt0(xq, xp) = v2 & aNaturalNumber0(xq) = v1 &
% 37.90/5.88  |           aNaturalNumber0(xp) = v0 & ( ~ (v1 = 0) |  ~ (v0 = 0) | (v2 = 0 &  ~
% 37.90/5.88  |               (xq = xp))))
% 37.90/5.88  | 
% 37.90/5.88  | GROUND_INST: instantiating (mDefLE) with xp, xq, all_35_0, simplifying with
% 37.90/5.88  |              (17), (18), (32) gives:
% 37.90/5.88  |   (78)   ? [v0: any] :  ? [v1: any] : (aNaturalNumber0(xq) = v1 &
% 37.90/5.88  |           aNaturalNumber0(xp) = v0 & ( ~ (v1 = 0) |  ~ (v0 = 0))) | (( ~
% 37.90/5.88  |             (all_35_0 = 0) |  ? [v0: $i] : (sdtpldt0(xp, v0) = xq &
% 37.90/5.88  |               aNaturalNumber0(v0) = 0 & $i(v0))) & (all_35_0 = 0 |  ! [v0: $i]
% 37.90/5.88  |             : ( ~ (sdtpldt0(xp, v0) = xq) |  ~ $i(v0) |  ? [v1: int] : ( ~ (v1
% 37.90/5.88  |                   = 0) & aNaturalNumber0(v0) = v1))))
% 37.90/5.88  | 
% 37.90/5.88  | GROUND_INST: instantiating (mDefDiv) with xl, all_33_0, 0, simplifying with
% 37.90/5.88  |              (12), (58), (62) gives:
% 37.90/5.88  |   (79)   ? [v0: any] :  ? [v1: any] : (aNaturalNumber0(all_33_0) = v1 &
% 37.90/5.88  |           aNaturalNumber0(xl) = v0 & ( ~ (v1 = 0) |  ~ (v0 = 0))) |  ? [v0:
% 37.90/5.88  |           $i] : (sdtasdt0(xl, v0) = all_33_0 & aNaturalNumber0(v0) = 0 &
% 37.90/5.88  |           $i(v0))
% 37.90/5.88  | 
% 37.90/5.88  | GROUND_INST: instantiating (3) with xl, xm, xp, simplifying with (11), (12),
% 37.90/5.88  |              (14) gives:
% 37.90/5.88  |   (80)  xl = sz00 |  ? [v0: any] :  ? [v1: any] :  ? [v2: any] :
% 37.90/5.88  |         (doDivides0(xl, xm) = v2 & aNaturalNumber0(xm) = v1 &
% 37.90/5.88  |           aNaturalNumber0(xl) = v0 & ( ~ (v2 = 0) |  ~ (v1 = 0) |  ~ (v0 =
% 37.90/5.88  |               0))) | ( ! [v0: $i] : (v0 = xp |  ~ (sdtasdt0(xl, v0) = xm) |  ~
% 37.90/5.88  |             $i(v0) |  ? [v1: int] : ( ~ (v1 = 0) & aNaturalNumber0(v0) = v1))
% 37.90/5.88  |           &  ! [v0: $i] : ( ~ (sdtasdt0(xl, xp) = v0) |  ~ $i(xp) | (v0 = xm &
% 37.90/5.88  |               aNaturalNumber0(xp) = 0)))
% 37.90/5.88  | 
% 37.90/5.88  | GROUND_INST: instantiating (3) with xl, all_33_0, xq, simplifying with (12),
% 37.90/5.88  |              (29), (62) gives:
% 37.90/5.88  |   (81)  xl = sz00 |  ? [v0: any] :  ? [v1: any] :  ? [v2: any] :
% 37.90/5.88  |         (doDivides0(xl, all_33_0) = v2 & aNaturalNumber0(all_33_0) = v1 &
% 37.90/5.88  |           aNaturalNumber0(xl) = v0 & ( ~ (v2 = 0) |  ~ (v1 = 0) |  ~ (v0 =
% 37.90/5.88  |               0))) | ( ! [v0: $i] : (v0 = xq |  ~ (sdtasdt0(xl, v0) =
% 37.90/5.88  |               all_33_0) |  ~ $i(v0) |  ? [v1: int] : ( ~ (v1 = 0) &
% 37.90/5.88  |               aNaturalNumber0(v0) = v1)) &  ! [v0: $i] : ( ~ (sdtasdt0(xl, xq)
% 37.90/5.88  |               = v0) |  ~ $i(xq) | (v0 = all_33_0 & aNaturalNumber0(xq) = 0)))
% 37.90/5.88  | 
% 37.90/5.88  | DELTA: instantiating (73) with fresh symbols all_57_0, all_57_1, all_57_2
% 37.90/5.88  |        gives:
% 37.90/5.88  |   (82)  aNaturalNumber0(all_46_0) = all_57_1 & aNaturalNumber0(all_33_0) =
% 37.90/5.88  |         all_57_0 & aNaturalNumber0(xl) = all_57_2 & ( ~ (all_57_1 = 0) |  ~
% 37.90/5.88  |           (all_57_2 = 0) | all_57_0 = 0)
% 37.90/5.88  | 
% 37.90/5.88  | ALPHA: (82) implies:
% 37.90/5.88  |   (83)  aNaturalNumber0(xl) = all_57_2
% 37.90/5.88  |   (84)  aNaturalNumber0(all_33_0) = all_57_0
% 37.90/5.88  |   (85)  aNaturalNumber0(all_46_0) = all_57_1
% 37.90/5.88  | 
% 37.90/5.88  | DELTA: instantiating (70) with fresh symbols all_59_0, all_59_1, all_59_2
% 37.90/5.88  |        gives:
% 37.90/5.89  |   (86)  aNaturalNumber0(all_33_0) = all_59_0 & aNaturalNumber0(xq) = all_59_1
% 37.90/5.89  |         & aNaturalNumber0(xl) = all_59_2 & ( ~ (all_59_1 = 0) |  ~ (all_59_2 =
% 37.90/5.89  |             0) | all_59_0 = 0)
% 37.90/5.89  | 
% 37.90/5.89  | ALPHA: (86) implies:
% 37.90/5.89  |   (87)  aNaturalNumber0(xl) = all_59_2
% 37.90/5.89  |   (88)  aNaturalNumber0(xq) = all_59_1
% 37.90/5.89  |   (89)  aNaturalNumber0(all_33_0) = all_59_0
% 37.90/5.89  | 
% 37.90/5.89  | DELTA: instantiating (67) with fresh symbols all_61_0, all_61_1, all_61_2
% 37.90/5.89  |        gives:
% 37.90/5.89  |   (90)  aNaturalNumber0(all_42_0) = all_61_1 & aNaturalNumber0(all_33_0) =
% 37.90/5.89  |         all_61_0 & aNaturalNumber0(xm) = all_61_2 & ( ~ (all_61_1 = 0) |  ~
% 37.90/5.89  |           (all_61_2 = 0) | all_61_0 = 0)
% 37.90/5.89  | 
% 37.90/5.89  | ALPHA: (90) implies:
% 37.90/5.89  |   (91)  aNaturalNumber0(xm) = all_61_2
% 37.90/5.89  |   (92)  aNaturalNumber0(all_33_0) = all_61_0
% 37.90/5.89  | 
% 37.90/5.89  | DELTA: instantiating (65) with fresh symbols all_63_0, all_63_1, all_63_2
% 37.90/5.89  |        gives:
% 37.90/5.89  |   (93)  aNaturalNumber0(all_33_0) = all_63_0 & aNaturalNumber0(xn) = all_63_1
% 37.90/5.89  |         & aNaturalNumber0(xm) = all_63_2 & ( ~ (all_63_1 = 0) |  ~ (all_63_2 =
% 37.90/5.89  |             0) | all_63_0 = 0)
% 37.90/5.89  | 
% 37.90/5.89  | ALPHA: (93) implies:
% 37.90/5.89  |   (94)  aNaturalNumber0(xm) = all_63_2
% 37.90/5.89  |   (95)  aNaturalNumber0(xn) = all_63_1
% 37.90/5.89  |   (96)  aNaturalNumber0(all_33_0) = all_63_0
% 37.90/5.89  |   (97)   ~ (all_63_1 = 0) |  ~ (all_63_2 = 0) | all_63_0 = 0
% 37.90/5.89  | 
% 37.90/5.89  | DELTA: instantiating (68) with fresh symbols all_65_0, all_65_1, all_65_2
% 37.90/5.89  |        gives:
% 37.90/5.89  |   (98)  sdtasdt0(xp, xl) = all_65_0 & aNaturalNumber0(xp) = all_65_1 &
% 37.90/5.89  |         aNaturalNumber0(xl) = all_65_2 & $i(all_65_0) & ( ~ (all_65_1 = 0) | 
% 37.90/5.89  |           ~ (all_65_2 = 0) | all_65_0 = xm)
% 37.90/5.89  | 
% 37.90/5.89  | ALPHA: (98) implies:
% 37.90/5.89  |   (99)  aNaturalNumber0(xl) = all_65_2
% 37.90/5.89  |   (100)  aNaturalNumber0(xp) = all_65_1
% 37.90/5.89  |   (101)  sdtasdt0(xp, xl) = all_65_0
% 37.90/5.89  |   (102)   ~ (all_65_1 = 0) |  ~ (all_65_2 = 0) | all_65_0 = xm
% 37.90/5.89  | 
% 37.90/5.89  | DELTA: instantiating (72) with fresh symbols all_67_0, all_67_1, all_67_2
% 37.90/5.89  |        gives:
% 37.90/5.89  |   (103)  sdtasdt0(all_46_0, xl) = all_67_0 & aNaturalNumber0(all_46_0) =
% 37.90/5.89  |          all_67_1 & aNaturalNumber0(xl) = all_67_2 & $i(all_67_0) & ( ~
% 37.90/5.89  |            (all_67_1 = 0) |  ~ (all_67_2 = 0) | all_67_0 = all_33_0)
% 37.90/5.89  | 
% 37.90/5.89  | ALPHA: (103) implies:
% 37.90/5.89  |   (104)  aNaturalNumber0(xl) = all_67_2
% 37.90/5.89  |   (105)  aNaturalNumber0(all_46_0) = all_67_1
% 37.90/5.89  |   (106)  sdtasdt0(all_46_0, xl) = all_67_0
% 37.90/5.89  |   (107)   ~ (all_67_1 = 0) |  ~ (all_67_2 = 0) | all_67_0 = all_33_0
% 37.90/5.89  | 
% 37.90/5.89  | DELTA: instantiating (71) with fresh symbols all_69_0, all_69_1, all_69_2
% 37.90/5.89  |        gives:
% 37.90/5.89  |   (108)  sdtasdt0(all_44_0, xl) = all_69_0 & aNaturalNumber0(all_44_0) =
% 37.90/5.89  |          all_69_1 & aNaturalNumber0(xl) = all_69_2 & $i(all_69_0) & ( ~
% 37.90/5.89  |            (all_69_1 = 0) |  ~ (all_69_2 = 0) | all_69_0 = xm)
% 37.90/5.89  | 
% 37.90/5.89  | ALPHA: (108) implies:
% 37.90/5.89  |   (109)  aNaturalNumber0(xl) = all_69_2
% 37.90/5.89  |   (110)  aNaturalNumber0(all_44_0) = all_69_1
% 37.90/5.89  | 
% 37.90/5.89  | DELTA: instantiating (64) with fresh symbols all_71_0, all_71_1, all_71_2
% 37.90/5.89  |        gives:
% 37.90/5.89  |   (111)  sdtpldt0(xn, xm) = all_71_0 & aNaturalNumber0(xn) = all_71_1 &
% 37.90/5.89  |          aNaturalNumber0(xm) = all_71_2 & $i(all_71_0) & ( ~ (all_71_1 = 0) | 
% 37.90/5.89  |            ~ (all_71_2 = 0) | all_71_0 = all_33_0)
% 37.90/5.89  | 
% 37.90/5.89  | ALPHA: (111) implies:
% 37.90/5.89  |   (112)  aNaturalNumber0(xm) = all_71_2
% 37.90/5.89  |   (113)  aNaturalNumber0(xn) = all_71_1
% 37.90/5.89  | 
% 37.90/5.89  | DELTA: instantiating (66) with fresh symbols all_73_0, all_73_1, all_73_2
% 37.90/5.89  |        gives:
% 37.90/5.89  |   (114)  sdtpldt0(all_42_0, xm) = all_73_0 & aNaturalNumber0(all_42_0) =
% 37.90/5.89  |          all_73_1 & aNaturalNumber0(xm) = all_73_2 & $i(all_73_0) & ( ~
% 37.90/5.89  |            (all_73_1 = 0) |  ~ (all_73_2 = 0) | all_73_0 = all_33_0)
% 37.90/5.89  | 
% 37.90/5.89  | ALPHA: (114) implies:
% 37.90/5.89  |   (115)  aNaturalNumber0(xm) = all_73_2
% 37.90/5.89  | 
% 37.90/5.89  | DELTA: instantiating (69) with fresh symbols all_75_0, all_75_1, all_75_2
% 37.90/5.89  |        gives:
% 37.90/5.89  |   (116)  sdtasdt0(xq, xl) = all_75_0 & aNaturalNumber0(xq) = all_75_1 &
% 37.90/5.89  |          aNaturalNumber0(xl) = all_75_2 & $i(all_75_0) & ( ~ (all_75_1 = 0) | 
% 37.90/5.89  |            ~ (all_75_2 = 0) | all_75_0 = all_33_0)
% 37.90/5.89  | 
% 37.90/5.89  | ALPHA: (116) implies:
% 37.90/5.89  |   (117)  aNaturalNumber0(xl) = all_75_2
% 37.90/5.89  |   (118)  aNaturalNumber0(xq) = all_75_1
% 37.90/5.89  | 
% 37.90/5.89  | BETA: splitting (63) gives:
% 37.90/5.89  | 
% 37.90/5.89  | Case 1:
% 37.90/5.89  | | 
% 37.90/5.89  | |   (119)  xl = sz00
% 37.90/5.89  | | 
% 37.90/5.89  | | REDUCE: (8), (119) imply:
% 37.90/5.89  | |   (120)  $false
% 37.90/5.89  | | 
% 37.90/5.89  | | CLOSE: (120) is inconsistent.
% 37.90/5.89  | | 
% 37.90/5.89  | Case 2:
% 37.90/5.89  | | 
% 37.90/5.89  | |   (121)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 | 
% 37.90/5.89  | |            ~ (sdtasdt0(xl, v1) = v3) |  ~ (sdtasdt0(xl, v0) = v2) |  ~
% 37.90/5.89  | |            $i(v1) |  ~ $i(v0) |  ? [v4: any] :  ? [v5: any] :  ? [v6: $i] : 
% 37.90/5.89  | |            ? [v7: $i] : (sdtasdt0(v1, xl) = v7 & sdtasdt0(v0, xl) = v6 &
% 37.90/5.89  | |              aNaturalNumber0(v1) = v5 & aNaturalNumber0(v0) = v4 & $i(v7) &
% 37.90/5.89  | |              $i(v6) & ( ~ (v5 = 0) |  ~ (v4 = 0) | ( ~ (v7 = v6) &  ~ (v3 =
% 37.90/5.90  | |                    v2)))))
% 37.90/5.90  | | 
% 37.90/5.90  | | GROUND_INST: instantiating (121) with xp, xq, xm, all_33_0, simplifying with
% 37.90/5.90  | |              (10), (17), (18), (28) gives:
% 37.90/5.90  | |   (122)  xq = xp |  ? [v0: any] :  ? [v1: any] :  ? [v2: $i] :  ? [v3: $i] :
% 37.90/5.90  | |          (sdtasdt0(xq, xl) = v3 & sdtasdt0(xp, xl) = v2 &
% 37.90/5.90  | |            aNaturalNumber0(xq) = v1 & aNaturalNumber0(xp) = v0 & $i(v3) &
% 37.90/5.90  | |            $i(v2) & ( ~ (v1 = 0) |  ~ (v0 = 0) | ( ~ (v3 = v2) &  ~
% 37.90/5.90  | |                (all_33_0 = xm))))
% 37.90/5.90  | | 
% 37.90/5.90  | | GROUND_INST: instantiating (121) with xq, xp, all_33_0, xm, simplifying with
% 37.90/5.90  | |              (10), (17), (18), (28) gives:
% 37.90/5.90  | |   (123)  xq = xp |  ? [v0: any] :  ? [v1: any] :  ? [v2: $i] :  ? [v3: $i] :
% 37.90/5.90  | |          (sdtasdt0(xq, xl) = v2 & sdtasdt0(xp, xl) = v3 &
% 37.90/5.90  | |            aNaturalNumber0(xq) = v0 & aNaturalNumber0(xp) = v1 & $i(v3) &
% 37.90/5.90  | |            $i(v2) & ( ~ (v1 = 0) |  ~ (v0 = 0) | ( ~ (v3 = v2) &  ~
% 37.90/5.90  | |                (all_33_0 = xm))))
% 37.90/5.90  | | 
% 37.90/5.90  | | GROUND_INST: instantiating (121) with xq, all_44_0, all_33_0, xm,
% 37.90/5.90  | |              simplifying with (18), (28), (47), (49) gives:
% 37.90/5.90  | |   (124)  all_44_0 = xq |  ? [v0: any] :  ? [v1: any] :  ? [v2: $i] :  ? [v3:
% 37.90/5.90  | |            $i] : (sdtasdt0(all_44_0, xl) = v3 & sdtasdt0(xq, xl) = v2 &
% 37.90/5.90  | |            aNaturalNumber0(all_44_0) = v1 & aNaturalNumber0(xq) = v0 &
% 37.90/5.90  | |            $i(v3) & $i(v2) & ( ~ (v1 = 0) |  ~ (v0 = 0) | ( ~ (v3 = v2) &  ~
% 37.90/5.90  | |                (all_33_0 = xm))))
% 37.90/5.90  | | 
% 38.30/5.90  | | GROUND_INST: instantiating (121) with all_44_0, xq, xm, all_33_0,
% 38.30/5.90  | |              simplifying with (18), (28), (47), (49) gives:
% 38.30/5.90  | |   (125)  all_44_0 = xq |  ? [v0: any] :  ? [v1: any] :  ? [v2: $i] :  ? [v3:
% 38.30/5.90  | |            $i] : (sdtasdt0(all_44_0, xl) = v2 & sdtasdt0(xq, xl) = v3 &
% 38.30/5.90  | |            aNaturalNumber0(all_44_0) = v0 & aNaturalNumber0(xq) = v1 &
% 38.30/5.90  | |            $i(v3) & $i(v2) & ( ~ (v1 = 0) |  ~ (v0 = 0) | ( ~ (v3 = v2) &  ~
% 38.30/5.90  | |                (all_33_0 = xm))))
% 38.30/5.90  | | 
% 38.30/5.90  | | GROUND_INST: instantiating (121) with xp, all_44_0, xm, xm, simplifying with
% 38.30/5.90  | |              (10), (17), (47), (49) gives:
% 38.30/5.90  | |   (126)  all_44_0 = xp |  ? [v0: any] :  ? [v1: any] :  ? [v2: $i] :  ? [v3:
% 38.30/5.90  | |            $i] : (sdtasdt0(all_44_0, xl) = v3 & sdtasdt0(xp, xl) = v2 &
% 38.30/5.90  | |            aNaturalNumber0(all_44_0) = v1 & aNaturalNumber0(xp) = v0 &
% 38.30/5.90  | |            $i(v3) & $i(v2) & ( ~ (v1 = 0) |  ~ (v0 = 0)))
% 38.30/5.90  | | 
% 38.30/5.90  | | GROUND_INST: instantiating (121) with all_44_0, xp, xm, xm, simplifying with
% 38.30/5.90  | |              (10), (17), (47), (49) gives:
% 38.30/5.90  | |   (127)  all_44_0 = xp |  ? [v0: any] :  ? [v1: any] :  ? [v2: $i] :  ? [v3:
% 38.30/5.90  | |            $i] : (sdtasdt0(all_44_0, xl) = v2 & sdtasdt0(xp, xl) = v3 &
% 38.30/5.90  | |            aNaturalNumber0(all_44_0) = v0 & aNaturalNumber0(xp) = v1 &
% 38.30/5.90  | |            $i(v3) & $i(v2) & ( ~ (v1 = 0) |  ~ (v0 = 0)))
% 38.30/5.90  | | 
% 38.30/5.90  | | GROUND_INST: instantiating (121) with all_44_0, all_46_0, xm, all_33_0,
% 38.30/5.90  | |              simplifying with (47), (49), (51), (60) gives:
% 38.30/5.90  | |   (128)  all_46_0 = all_44_0 |  ? [v0: any] :  ? [v1: any] :  ? [v2: $i] : 
% 38.30/5.90  | |          ? [v3: $i] : (sdtasdt0(all_46_0, xl) = v3 & sdtasdt0(all_44_0, xl)
% 38.30/5.90  | |            = v2 & aNaturalNumber0(all_46_0) = v1 & aNaturalNumber0(all_44_0)
% 38.30/5.90  | |            = v0 & $i(v3) & $i(v2) & ( ~ (v1 = 0) |  ~ (v0 = 0) | ( ~ (v3 =
% 38.30/5.90  | |                  v2) &  ~ (all_33_0 = xm))))
% 38.30/5.90  | | 
% 38.30/5.90  | | GROUND_INST: instantiating (121) with all_46_0, all_44_0, all_33_0, xm,
% 38.30/5.90  | |              simplifying with (47), (49), (51), (60) gives:
% 38.30/5.90  | |   (129)  all_46_0 = all_44_0 |  ? [v0: any] :  ? [v1: any] :  ? [v2: $i] : 
% 38.30/5.90  | |          ? [v3: $i] : (sdtasdt0(all_46_0, xl) = v2 & sdtasdt0(all_44_0, xl)
% 38.30/5.90  | |            = v3 & aNaturalNumber0(all_46_0) = v0 & aNaturalNumber0(all_44_0)
% 38.30/5.90  | |            = v1 & $i(v3) & $i(v2) & ( ~ (v1 = 0) |  ~ (v0 = 0) | ( ~ (v3 =
% 38.30/5.90  | |                  v2) &  ~ (all_33_0 = xm))))
% 38.30/5.90  | | 
% 38.30/5.90  | | GROUND_INST: instantiating (121) with xq, all_46_0, all_33_0, all_33_0,
% 38.30/5.90  | |              simplifying with (18), (28), (51), (60) gives:
% 38.30/5.90  | |   (130)  all_46_0 = xq |  ? [v0: any] :  ? [v1: any] :  ? [v2: $i] :  ? [v3:
% 38.30/5.90  | |            $i] : (sdtasdt0(all_46_0, xl) = v3 & sdtasdt0(xq, xl) = v2 &
% 38.30/5.90  | |            aNaturalNumber0(all_46_0) = v1 & aNaturalNumber0(xq) = v0 &
% 38.30/5.90  | |            $i(v3) & $i(v2) & ( ~ (v1 = 0) |  ~ (v0 = 0)))
% 38.30/5.90  | | 
% 38.30/5.90  | | GROUND_INST: instantiating (121) with all_46_0, xq, all_33_0, all_33_0,
% 38.30/5.90  | |              simplifying with (18), (28), (51), (60) gives:
% 38.30/5.90  | |   (131)  all_46_0 = xq |  ? [v0: any] :  ? [v1: any] :  ? [v2: $i] :  ? [v3:
% 38.30/5.90  | |            $i] : (sdtasdt0(all_46_0, xl) = v2 & sdtasdt0(xq, xl) = v3 &
% 38.30/5.90  | |            aNaturalNumber0(all_46_0) = v0 & aNaturalNumber0(xq) = v1 &
% 38.30/5.90  | |            $i(v3) & $i(v2) & ( ~ (v1 = 0) |  ~ (v0 = 0)))
% 38.30/5.90  | | 
% 38.30/5.90  | | GROUND_INST: instantiating (121) with xp, all_46_0, xm, all_33_0,
% 38.30/5.90  | |              simplifying with (10), (17), (51), (60) gives:
% 38.30/5.91  | |   (132)  all_46_0 = xp |  ? [v0: any] :  ? [v1: any] :  ? [v2: $i] :  ? [v3:
% 38.30/5.91  | |            $i] : (sdtasdt0(all_46_0, xl) = v3 & sdtasdt0(xp, xl) = v2 &
% 38.30/5.91  | |            aNaturalNumber0(all_46_0) = v1 & aNaturalNumber0(xp) = v0 &
% 38.30/5.91  | |            $i(v3) & $i(v2) & ( ~ (v1 = 0) |  ~ (v0 = 0) | ( ~ (v3 = v2) &  ~
% 38.30/5.91  | |                (all_33_0 = xm))))
% 38.30/5.91  | | 
% 38.30/5.91  | | GROUND_INST: instantiating (121) with all_46_0, xp, all_33_0, xm,
% 38.30/5.91  | |              simplifying with (10), (17), (51), (60) gives:
% 38.30/5.91  | |   (133)  all_46_0 = xp |  ? [v0: any] :  ? [v1: any] :  ? [v2: $i] :  ? [v3:
% 38.30/5.91  | |            $i] : (sdtasdt0(all_46_0, xl) = v2 & sdtasdt0(xp, xl) = v3 &
% 38.30/5.91  | |            aNaturalNumber0(all_46_0) = v0 & aNaturalNumber0(xp) = v1 &
% 38.30/5.91  | |            $i(v3) & $i(v2) & ( ~ (v1 = 0) |  ~ (v0 = 0) | ( ~ (v3 = v2) &  ~
% 38.30/5.91  | |                (all_33_0 = xm))))
% 38.30/5.91  | | 
% 38.30/5.91  | | BETA: splitting (77) gives:
% 38.30/5.91  | | 
% 38.30/5.91  | | Case 1:
% 38.30/5.91  | | | 
% 38.30/5.91  | | |   (134)  all_35_0 = 0
% 38.30/5.91  | | | 
% 38.30/5.91  | | | REDUCE: (31), (134) imply:
% 38.30/5.91  | | |   (135)  $false
% 38.30/5.91  | | | 
% 38.30/5.91  | | | CLOSE: (135) is inconsistent.
% 38.30/5.91  | | | 
% 38.30/5.91  | | Case 2:
% 38.30/5.91  | | | 
% 38.30/5.91  | | |   (136)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] : (sdtlseqdt0(xq, xp)
% 38.30/5.91  | | |            = v2 & aNaturalNumber0(xq) = v1 & aNaturalNumber0(xp) = v0 & (
% 38.30/5.91  | | |              ~ (v1 = 0) |  ~ (v0 = 0) | (v2 = 0 &  ~ (xq = xp))))
% 38.30/5.91  | | | 
% 38.30/5.91  | | | DELTA: instantiating (136) with fresh symbols all_89_0, all_89_1, all_89_2
% 38.30/5.91  | | |        gives:
% 38.30/5.91  | | |   (137)  sdtlseqdt0(xq, xp) = all_89_0 & aNaturalNumber0(xq) = all_89_1 &
% 38.30/5.91  | | |          aNaturalNumber0(xp) = all_89_2 & ( ~ (all_89_1 = 0) |  ~
% 38.30/5.91  | | |            (all_89_2 = 0) | (all_89_0 = 0 &  ~ (xq = xp)))
% 38.30/5.91  | | | 
% 38.30/5.91  | | | ALPHA: (137) implies:
% 38.30/5.91  | | |   (138)  aNaturalNumber0(xp) = all_89_2
% 38.30/5.91  | | |   (139)  aNaturalNumber0(xq) = all_89_1
% 38.30/5.91  | | |   (140)  sdtlseqdt0(xq, xp) = all_89_0
% 38.30/5.91  | | |   (141)   ~ (all_89_1 = 0) |  ~ (all_89_2 = 0) | (all_89_0 = 0 &  ~ (xq =
% 38.30/5.91  | | |              xp))
% 38.30/5.91  | | | 
% 38.30/5.91  | | | GROUND_INST: instantiating (20) with all_59_2, all_65_2, xl, simplifying
% 38.30/5.91  | | |              with (87), (99) gives:
% 38.30/5.91  | | |   (142)  all_65_2 = all_59_2
% 38.30/5.91  | | | 
% 38.30/5.91  | | | GROUND_INST: instantiating (20) with all_57_2, all_65_2, xl, simplifying
% 38.30/5.91  | | |              with (83), (99) gives:
% 38.30/5.91  | | |   (143)  all_65_2 = all_57_2
% 38.30/5.91  | | | 
% 38.30/5.91  | | | GROUND_INST: instantiating (20) with 0, all_75_2, xl, simplifying with
% 38.30/5.91  | | |              (4), (117) gives:
% 38.30/5.91  | | |   (144)  all_75_2 = 0
% 38.30/5.91  | | | 
% 38.30/5.91  | | | GROUND_INST: instantiating (20) with all_69_2, all_75_2, xl, simplifying
% 38.30/5.91  | | |              with (109), (117) gives:
% 38.30/5.91  | | |   (145)  all_75_2 = all_69_2
% 38.30/5.91  | | | 
% 38.30/5.91  | | | GROUND_INST: instantiating (20) with all_67_2, all_75_2, xl, simplifying
% 38.30/5.91  | | |              with (104), (117) gives:
% 38.30/5.91  | | |   (146)  all_75_2 = all_67_2
% 38.30/5.91  | | | 
% 38.30/5.91  | | | GROUND_INST: instantiating (20) with all_59_2, all_75_2, xl, simplifying
% 38.30/5.91  | | |              with (87), (117) gives:
% 38.30/5.91  | | |   (147)  all_75_2 = all_59_2
% 38.30/5.91  | | | 
% 38.30/5.91  | | | GROUND_INST: instantiating (20) with all_61_2, all_63_2, xm, simplifying
% 38.30/5.91  | | |              with (91), (94) gives:
% 38.30/5.91  | | |   (148)  all_63_2 = all_61_2
% 38.30/5.91  | | | 
% 38.30/5.91  | | | GROUND_INST: instantiating (20) with all_63_2, all_71_2, xm, simplifying
% 38.30/5.91  | | |              with (94), (112) gives:
% 38.30/5.91  | | |   (149)  all_71_2 = all_63_2
% 38.30/5.91  | | | 
% 38.30/5.91  | | | GROUND_INST: instantiating (20) with 0, all_73_2, xm, simplifying with
% 38.30/5.91  | | |              (5), (115) gives:
% 38.30/5.91  | | |   (150)  all_73_2 = 0
% 38.30/5.91  | | | 
% 38.30/5.91  | | | GROUND_INST: instantiating (20) with all_71_2, all_73_2, xm, simplifying
% 38.30/5.91  | | |              with (112), (115) gives:
% 38.30/5.91  | | |   (151)  all_73_2 = all_71_2
% 38.30/5.91  | | | 
% 38.30/5.91  | | | GROUND_INST: instantiating (20) with 0, all_71_1, xn, simplifying with
% 38.30/5.91  | | |              (6), (113) gives:
% 38.30/5.91  | | |   (152)  all_71_1 = 0
% 38.30/5.91  | | | 
% 38.30/5.91  | | | GROUND_INST: instantiating (20) with all_63_1, all_71_1, xn, simplifying
% 38.30/5.91  | | |              with (95), (113) gives:
% 38.30/5.91  | | |   (153)  all_71_1 = all_63_1
% 38.30/5.91  | | | 
% 38.30/5.91  | | | GROUND_INST: instantiating (20) with 0, all_89_2, xp, simplifying with
% 38.30/5.91  | | |              (9), (138) gives:
% 38.30/5.91  | | |   (154)  all_89_2 = 0
% 38.30/5.91  | | | 
% 38.30/5.91  | | | GROUND_INST: instantiating (20) with all_65_1, all_89_2, xp, simplifying
% 38.30/5.91  | | |              with (100), (138) gives:
% 38.30/5.91  | | |   (155)  all_89_2 = all_65_1
% 38.30/5.91  | | | 
% 38.30/5.91  | | | GROUND_INST: instantiating (20) with 0, all_89_1, xq, simplifying with
% 38.30/5.91  | | |              (26), (139) gives:
% 38.30/5.91  | | |   (156)  all_89_1 = 0
% 38.30/5.91  | | | 
% 38.30/5.91  | | | GROUND_INST: instantiating (20) with all_75_1, all_89_1, xq, simplifying
% 38.30/5.91  | | |              with (118), (139) gives:
% 38.30/5.91  | | |   (157)  all_89_1 = all_75_1
% 38.30/5.91  | | | 
% 38.30/5.91  | | | GROUND_INST: instantiating (20) with all_59_1, all_89_1, xq, simplifying
% 38.30/5.91  | | |              with (88), (139) gives:
% 38.30/5.91  | | |   (158)  all_89_1 = all_59_1
% 38.30/5.91  | | | 
% 38.30/5.91  | | | GROUND_INST: instantiating (20) with all_57_0, all_61_0, all_33_0,
% 38.30/5.91  | | |              simplifying with (84), (92) gives:
% 38.30/5.91  | | |   (159)  all_61_0 = all_57_0
% 38.30/5.91  | | | 
% 38.30/5.91  | | | GROUND_INST: instantiating (20) with all_61_0, all_63_0, all_33_0,
% 38.30/5.91  | | |              simplifying with (92), (96) gives:
% 38.30/5.91  | | |   (160)  all_63_0 = all_61_0
% 38.30/5.91  | | | 
% 38.30/5.91  | | | GROUND_INST: instantiating (20) with all_59_0, all_63_0, all_33_0,
% 38.30/5.91  | | |              simplifying with (89), (96) gives:
% 38.30/5.91  | | |   (161)  all_63_0 = all_59_0
% 38.30/5.91  | | | 
% 38.30/5.91  | | | GROUND_INST: instantiating (20) with 0, all_69_1, all_44_0, simplifying
% 38.30/5.91  | | |              with (48), (110) gives:
% 38.30/5.91  | | |   (162)  all_69_1 = 0
% 38.30/5.91  | | | 
% 38.30/5.91  | | | GROUND_INST: instantiating (20) with 0, all_67_1, all_46_0, simplifying
% 38.30/5.91  | | |              with (52), (105) gives:
% 38.30/5.91  | | |   (163)  all_67_1 = 0
% 38.30/5.91  | | | 
% 38.30/5.91  | | | GROUND_INST: instantiating (20) with all_57_1, all_67_1, all_46_0,
% 38.30/5.91  | | |              simplifying with (85), (105) gives:
% 38.30/5.91  | | |   (164)  all_67_1 = all_57_1
% 38.30/5.91  | | | 
% 38.30/5.91  | | | COMBINE_EQS: (156), (157) imply:
% 38.30/5.91  | | |   (165)  all_75_1 = 0
% 38.30/5.91  | | | 
% 38.30/5.91  | | | COMBINE_EQS: (157), (158) imply:
% 38.30/5.91  | | |   (166)  all_75_1 = all_59_1
% 38.30/5.91  | | | 
% 38.30/5.91  | | | COMBINE_EQS: (154), (155) imply:
% 38.30/5.91  | | |   (167)  all_65_1 = 0
% 38.30/5.91  | | | 
% 38.30/5.91  | | | COMBINE_EQS: (165), (166) imply:
% 38.30/5.91  | | |   (168)  all_59_1 = 0
% 38.30/5.91  | | | 
% 38.30/5.91  | | | COMBINE_EQS: (144), (145) imply:
% 38.30/5.91  | | |   (169)  all_69_2 = 0
% 38.30/5.91  | | | 
% 38.30/5.91  | | | COMBINE_EQS: (145), (146) imply:
% 38.30/5.91  | | |   (170)  all_69_2 = all_67_2
% 38.30/5.91  | | | 
% 38.30/5.91  | | | COMBINE_EQS: (145), (147) imply:
% 38.30/5.91  | | |   (171)  all_69_2 = all_59_2
% 38.30/5.91  | | | 
% 38.30/5.91  | | | COMBINE_EQS: (150), (151) imply:
% 38.30/5.91  | | |   (172)  all_71_2 = 0
% 38.30/5.91  | | | 
% 38.30/5.91  | | | SIMP: (172) implies:
% 38.30/5.91  | | |   (173)  all_71_2 = 0
% 38.30/5.91  | | | 
% 38.30/5.91  | | | COMBINE_EQS: (152), (153) imply:
% 38.30/5.91  | | |   (174)  all_63_1 = 0
% 38.30/5.91  | | | 
% 38.30/5.91  | | | COMBINE_EQS: (149), (173) imply:
% 38.30/5.91  | | |   (175)  all_63_2 = 0
% 38.30/5.91  | | | 
% 38.30/5.91  | | | SIMP: (175) implies:
% 38.30/5.91  | | |   (176)  all_63_2 = 0
% 38.30/5.92  | | | 
% 38.30/5.92  | | | COMBINE_EQS: (170), (171) imply:
% 38.30/5.92  | | |   (177)  all_67_2 = all_59_2
% 38.30/5.92  | | | 
% 38.30/5.92  | | | COMBINE_EQS: (169), (170) imply:
% 38.30/5.92  | | |   (178)  all_67_2 = 0
% 38.30/5.92  | | | 
% 38.30/5.92  | | | COMBINE_EQS: (163), (164) imply:
% 38.30/5.92  | | |   (179)  all_57_1 = 0
% 38.30/5.92  | | | 
% 38.30/5.92  | | | SIMP: (179) implies:
% 38.30/5.92  | | |   (180)  all_57_1 = 0
% 38.30/5.92  | | | 
% 38.30/5.92  | | | COMBINE_EQS: (177), (178) imply:
% 38.30/5.92  | | |   (181)  all_59_2 = 0
% 38.30/5.92  | | | 
% 38.30/5.92  | | | SIMP: (181) implies:
% 38.30/5.92  | | |   (182)  all_59_2 = 0
% 38.30/5.92  | | | 
% 38.30/5.92  | | | COMBINE_EQS: (142), (143) imply:
% 38.30/5.92  | | |   (183)  all_59_2 = all_57_2
% 38.30/5.92  | | | 
% 38.30/5.92  | | | SIMP: (183) implies:
% 38.30/5.92  | | |   (184)  all_59_2 = all_57_2
% 38.30/5.92  | | | 
% 38.30/5.92  | | | COMBINE_EQS: (160), (161) imply:
% 38.30/5.92  | | |   (185)  all_61_0 = all_59_0
% 38.30/5.92  | | | 
% 38.30/5.92  | | | SIMP: (185) implies:
% 38.30/5.92  | | |   (186)  all_61_0 = all_59_0
% 38.30/5.92  | | | 
% 38.30/5.92  | | | COMBINE_EQS: (148), (176) imply:
% 38.30/5.92  | | |   (187)  all_61_2 = 0
% 38.30/5.92  | | | 
% 38.30/5.92  | | | SIMP: (187) implies:
% 38.30/5.92  | | |   (188)  all_61_2 = 0
% 38.30/5.92  | | | 
% 38.30/5.92  | | | COMBINE_EQS: (159), (186) imply:
% 38.30/5.92  | | |   (189)  all_59_0 = all_57_0
% 38.30/5.92  | | | 
% 38.30/5.92  | | | SIMP: (189) implies:
% 38.30/5.92  | | |   (190)  all_59_0 = all_57_0
% 38.30/5.92  | | | 
% 38.30/5.92  | | | COMBINE_EQS: (182), (184) imply:
% 38.30/5.92  | | |   (191)  all_57_2 = 0
% 38.30/5.92  | | | 
% 38.30/5.92  | | | SIMP: (191) implies:
% 38.30/5.92  | | |   (192)  all_57_2 = 0
% 38.30/5.92  | | | 
% 38.30/5.92  | | | COMBINE_EQS: (161), (190) imply:
% 38.30/5.92  | | |   (193)  all_63_0 = all_57_0
% 38.30/5.92  | | | 
% 38.30/5.92  | | | COMBINE_EQS: (143), (192) imply:
% 38.30/5.92  | | |   (194)  all_65_2 = 0
% 38.30/5.92  | | | 
% 38.30/5.92  | | | BETA: splitting (141) gives:
% 38.30/5.92  | | | 
% 38.30/5.92  | | | Case 1:
% 38.30/5.92  | | | | 
% 38.30/5.92  | | | |   (195)   ~ (all_89_1 = 0)
% 38.30/5.92  | | | | 
% 38.30/5.92  | | | | REDUCE: (156), (195) imply:
% 38.30/5.92  | | | |   (196)  $false
% 38.30/5.92  | | | | 
% 38.30/5.92  | | | | CLOSE: (196) is inconsistent.
% 38.30/5.92  | | | | 
% 38.30/5.92  | | | Case 2:
% 38.30/5.92  | | | | 
% 38.30/5.92  | | | |   (197)   ~ (all_89_2 = 0) | (all_89_0 = 0 &  ~ (xq = xp))
% 38.30/5.92  | | | | 
% 38.30/5.92  | | | | BETA: splitting (78) gives:
% 38.30/5.92  | | | | 
% 38.30/5.92  | | | | Case 1:
% 38.30/5.92  | | | | | 
% 38.30/5.92  | | | | |   (198)   ? [v0: any] :  ? [v1: any] : (aNaturalNumber0(xq) = v1 &
% 38.30/5.92  | | | | |            aNaturalNumber0(xp) = v0 & ( ~ (v1 = 0) |  ~ (v0 = 0)))
% 38.30/5.92  | | | | | 
% 38.30/5.92  | | | | | DELTA: instantiating (198) with fresh symbols all_101_0, all_101_1
% 38.30/5.92  | | | | |        gives:
% 38.30/5.92  | | | | |   (199)  aNaturalNumber0(xq) = all_101_0 & aNaturalNumber0(xp) =
% 38.30/5.92  | | | | |          all_101_1 & ( ~ (all_101_0 = 0) |  ~ (all_101_1 = 0))
% 38.30/5.92  | | | | | 
% 38.30/5.92  | | | | | ALPHA: (199) implies:
% 38.30/5.92  | | | | |   (200)  aNaturalNumber0(xp) = all_101_1
% 38.30/5.92  | | | | |   (201)  aNaturalNumber0(xq) = all_101_0
% 38.30/5.92  | | | | |   (202)   ~ (all_101_0 = 0) |  ~ (all_101_1 = 0)
% 38.30/5.92  | | | | | 
% 38.30/5.92  | | | | | BETA: splitting (197) gives:
% 38.30/5.92  | | | | | 
% 38.30/5.92  | | | | | Case 1:
% 38.30/5.92  | | | | | | 
% 38.30/5.92  | | | | | |   (203)   ~ (all_89_2 = 0)
% 38.30/5.92  | | | | | | 
% 38.30/5.92  | | | | | | REDUCE: (154), (203) imply:
% 38.30/5.92  | | | | | |   (204)  $false
% 38.30/5.92  | | | | | | 
% 38.30/5.92  | | | | | | CLOSE: (204) is inconsistent.
% 38.30/5.92  | | | | | | 
% 38.30/5.92  | | | | | Case 2:
% 38.30/5.92  | | | | | | 
% 38.30/5.92  | | | | | |   (205)  all_89_0 = 0 &  ~ (xq = xp)
% 38.30/5.92  | | | | | | 
% 38.30/5.92  | | | | | | ALPHA: (205) implies:
% 38.30/5.92  | | | | | |   (206)   ~ (xq = xp)
% 38.30/5.92  | | | | | | 
% 38.30/5.92  | | | | | | BETA: splitting (123) gives:
% 38.30/5.92  | | | | | | 
% 38.30/5.92  | | | | | | Case 1:
% 38.30/5.92  | | | | | | | 
% 38.30/5.92  | | | | | | |   (207)  xq = xp
% 38.30/5.92  | | | | | | | 
% 38.30/5.92  | | | | | | | REDUCE: (206), (207) imply:
% 38.30/5.92  | | | | | | |   (208)  $false
% 38.30/5.92  | | | | | | | 
% 38.30/5.92  | | | | | | | CLOSE: (208) is inconsistent.
% 38.30/5.92  | | | | | | | 
% 38.30/5.92  | | | | | | Case 2:
% 38.30/5.92  | | | | | | | 
% 38.30/5.92  | | | | | | | 
% 38.30/5.92  | | | | | | | GROUND_INST: instantiating (20) with 0, all_101_1, xp, simplifying
% 38.30/5.92  | | | | | | |              with (9), (200) gives:
% 38.30/5.92  | | | | | | |   (209)  all_101_1 = 0
% 38.30/5.92  | | | | | | | 
% 38.30/5.92  | | | | | | | GROUND_INST: instantiating (20) with 0, all_101_0, xq, simplifying
% 38.30/5.92  | | | | | | |              with (26), (201) gives:
% 38.30/5.92  | | | | | | |   (210)  all_101_0 = 0
% 38.30/5.92  | | | | | | | 
% 38.30/5.92  | | | | | | | BETA: splitting (202) gives:
% 38.30/5.92  | | | | | | | 
% 38.30/5.92  | | | | | | | Case 1:
% 38.30/5.92  | | | | | | | | 
% 38.30/5.92  | | | | | | | |   (211)   ~ (all_101_0 = 0)
% 38.30/5.92  | | | | | | | | 
% 38.30/5.92  | | | | | | | | REDUCE: (210), (211) imply:
% 38.30/5.92  | | | | | | | |   (212)  $false
% 38.30/5.92  | | | | | | | | 
% 38.30/5.92  | | | | | | | | CLOSE: (212) is inconsistent.
% 38.30/5.92  | | | | | | | | 
% 38.30/5.92  | | | | | | | Case 2:
% 38.30/5.92  | | | | | | | | 
% 38.30/5.92  | | | | | | | |   (213)   ~ (all_101_1 = 0)
% 38.30/5.92  | | | | | | | | 
% 38.30/5.92  | | | | | | | | REDUCE: (209), (213) imply:
% 38.30/5.92  | | | | | | | |   (214)  $false
% 38.30/5.92  | | | | | | | | 
% 38.30/5.92  | | | | | | | | CLOSE: (214) is inconsistent.
% 38.30/5.92  | | | | | | | | 
% 38.30/5.92  | | | | | | | End of split
% 38.30/5.92  | | | | | | | 
% 38.30/5.92  | | | | | | End of split
% 38.30/5.92  | | | | | | 
% 38.30/5.92  | | | | | End of split
% 38.30/5.92  | | | | | 
% 38.30/5.92  | | | | Case 2:
% 38.30/5.92  | | | | | 
% 38.30/5.92  | | | | |   (215)  ( ~ (all_35_0 = 0) |  ? [v0: $i] : (sdtpldt0(xp, v0) = xq &
% 38.30/5.92  | | | | |              aNaturalNumber0(v0) = 0 & $i(v0))) & (all_35_0 = 0 |  !
% 38.30/5.92  | | | | |            [v0: $i] : ( ~ (sdtpldt0(xp, v0) = xq) |  ~ $i(v0) |  ?
% 38.30/5.92  | | | | |              [v1: int] : ( ~ (v1 = 0) & aNaturalNumber0(v0) = v1)))
% 38.30/5.92  | | | | | 
% 38.30/5.92  | | | | | ALPHA: (215) implies:
% 38.30/5.92  | | | | |   (216)  all_35_0 = 0 |  ! [v0: $i] : ( ~ (sdtpldt0(xp, v0) = xq) |  ~
% 38.30/5.92  | | | | |            $i(v0) |  ? [v1: int] : ( ~ (v1 = 0) & aNaturalNumber0(v0)
% 38.30/5.92  | | | | |              = v1))
% 38.30/5.92  | | | | | 
% 38.30/5.92  | | | | | BETA: splitting (97) gives:
% 38.30/5.92  | | | | | 
% 38.30/5.92  | | | | | Case 1:
% 38.30/5.92  | | | | | | 
% 38.30/5.92  | | | | | |   (217)   ~ (all_63_1 = 0)
% 38.30/5.92  | | | | | | 
% 38.30/5.92  | | | | | | REDUCE: (174), (217) imply:
% 38.30/5.92  | | | | | |   (218)  $false
% 38.30/5.92  | | | | | | 
% 38.30/5.92  | | | | | | CLOSE: (218) is inconsistent.
% 38.30/5.92  | | | | | | 
% 38.30/5.92  | | | | | Case 2:
% 38.30/5.92  | | | | | | 
% 38.30/5.92  | | | | | |   (219)   ~ (all_63_2 = 0) | all_63_0 = 0
% 38.30/5.92  | | | | | | 
% 38.30/5.92  | | | | | | BETA: splitting (80) gives:
% 38.30/5.92  | | | | | | 
% 38.30/5.92  | | | | | | Case 1:
% 38.30/5.92  | | | | | | | 
% 38.30/5.92  | | | | | | |   (220)  xl = sz00
% 38.30/5.92  | | | | | | | 
% 38.30/5.92  | | | | | | | REDUCE: (8), (220) imply:
% 38.30/5.92  | | | | | | |   (221)  $false
% 38.30/5.92  | | | | | | | 
% 38.30/5.92  | | | | | | | CLOSE: (221) is inconsistent.
% 38.30/5.92  | | | | | | | 
% 38.30/5.92  | | | | | | Case 2:
% 38.30/5.92  | | | | | | | 
% 38.30/5.92  | | | | | | | 
% 38.30/5.92  | | | | | | | DELTA: instantiating (41) with fresh symbol all_109_0 gives:
% 38.30/5.92  | | | | | | |   (222)  sdtasdt0(xl, all_109_0) = xm & aNaturalNumber0(all_109_0)
% 38.30/5.92  | | | | | | |          = 0 & $i(all_109_0)
% 38.30/5.92  | | | | | | | 
% 38.30/5.92  | | | | | | | ALPHA: (222) implies:
% 38.30/5.92  | | | | | | |   (223)  $i(all_109_0)
% 38.30/5.92  | | | | | | |   (224)  sdtasdt0(xl, all_109_0) = xm
% 38.30/5.92  | | | | | | | 
% 38.30/5.92  | | | | | | | BETA: splitting (219) gives:
% 38.30/5.92  | | | | | | | 
% 38.30/5.92  | | | | | | | Case 1:
% 38.30/5.92  | | | | | | | | 
% 38.30/5.92  | | | | | | | |   (225)   ~ (all_63_2 = 0)
% 38.30/5.92  | | | | | | | | 
% 38.30/5.92  | | | | | | | | REDUCE: (176), (225) imply:
% 38.30/5.92  | | | | | | | |   (226)  $false
% 38.30/5.92  | | | | | | | | 
% 38.30/5.92  | | | | | | | | CLOSE: (226) is inconsistent.
% 38.30/5.92  | | | | | | | | 
% 38.30/5.92  | | | | | | | Case 2:
% 38.30/5.92  | | | | | | | | 
% 38.30/5.92  | | | | | | | |   (227)  all_63_0 = 0
% 38.30/5.92  | | | | | | | | 
% 38.30/5.92  | | | | | | | | COMBINE_EQS: (193), (227) imply:
% 38.30/5.92  | | | | | | | |   (228)  all_57_0 = 0
% 38.30/5.92  | | | | | | | | 
% 38.30/5.92  | | | | | | | | SIMP: (228) implies:
% 38.30/5.92  | | | | | | | |   (229)  all_57_0 = 0
% 38.30/5.92  | | | | | | | | 
% 38.30/5.92  | | | | | | | | REDUCE: (84), (229) imply:
% 38.30/5.92  | | | | | | | |   (230)  aNaturalNumber0(all_33_0) = 0
% 38.30/5.92  | | | | | | | | 
% 38.30/5.92  | | | | | | | | BETA: splitting (79) gives:
% 38.30/5.92  | | | | | | | | 
% 38.30/5.92  | | | | | | | | Case 1:
% 38.30/5.92  | | | | | | | | | 
% 38.30/5.92  | | | | | | | | |   (231)   ? [v0: any] :  ? [v1: any] :
% 38.30/5.92  | | | | | | | | |          (aNaturalNumber0(all_33_0) = v1 & aNaturalNumber0(xl)
% 38.30/5.92  | | | | | | | | |            = v0 & ( ~ (v1 = 0) |  ~ (v0 = 0)))
% 38.30/5.92  | | | | | | | | | 
% 38.30/5.92  | | | | | | | | | DELTA: instantiating (231) with fresh symbols all_125_0,
% 38.30/5.92  | | | | | | | | |        all_125_1 gives:
% 38.30/5.92  | | | | | | | | |   (232)  aNaturalNumber0(all_33_0) = all_125_0 &
% 38.30/5.92  | | | | | | | | |          aNaturalNumber0(xl) = all_125_1 & ( ~ (all_125_0 = 0)
% 38.30/5.92  | | | | | | | | |            |  ~ (all_125_1 = 0))
% 38.30/5.92  | | | | | | | | | 
% 38.30/5.92  | | | | | | | | | ALPHA: (232) implies:
% 38.30/5.92  | | | | | | | | |   (233)  aNaturalNumber0(xl) = all_125_1
% 38.30/5.92  | | | | | | | | |   (234)  aNaturalNumber0(all_33_0) = all_125_0
% 38.30/5.92  | | | | | | | | |   (235)   ~ (all_125_0 = 0) |  ~ (all_125_1 = 0)
% 38.30/5.92  | | | | | | | | | 
% 38.30/5.93  | | | | | | | | | GROUND_INST: instantiating (20) with 0, all_125_1, xl,
% 38.30/5.93  | | | | | | | | |              simplifying with (4), (233) gives:
% 38.30/5.93  | | | | | | | | |   (236)  all_125_1 = 0
% 38.30/5.93  | | | | | | | | | 
% 38.30/5.93  | | | | | | | | | GROUND_INST: instantiating (20) with 0, all_125_0, all_33_0,
% 38.30/5.93  | | | | | | | | |              simplifying with (230), (234) gives:
% 38.30/5.93  | | | | | | | | |   (237)  all_125_0 = 0
% 38.30/5.93  | | | | | | | | | 
% 38.30/5.93  | | | | | | | | | BETA: splitting (235) gives:
% 38.30/5.93  | | | | | | | | | 
% 38.30/5.93  | | | | | | | | | Case 1:
% 38.30/5.93  | | | | | | | | | | 
% 38.30/5.93  | | | | | | | | | |   (238)   ~ (all_125_0 = 0)
% 38.30/5.93  | | | | | | | | | | 
% 38.30/5.93  | | | | | | | | | | REDUCE: (237), (238) imply:
% 38.30/5.93  | | | | | | | | | |   (239)  $false
% 38.30/5.93  | | | | | | | | | | 
% 38.30/5.93  | | | | | | | | | | CLOSE: (239) is inconsistent.
% 38.30/5.93  | | | | | | | | | | 
% 38.30/5.93  | | | | | | | | | Case 2:
% 38.30/5.93  | | | | | | | | | | 
% 38.30/5.93  | | | | | | | | | |   (240)   ~ (all_125_1 = 0)
% 38.30/5.93  | | | | | | | | | | 
% 38.30/5.93  | | | | | | | | | | REDUCE: (236), (240) imply:
% 38.30/5.93  | | | | | | | | | |   (241)  $false
% 38.30/5.93  | | | | | | | | | | 
% 38.30/5.93  | | | | | | | | | | CLOSE: (241) is inconsistent.
% 38.30/5.93  | | | | | | | | | | 
% 38.30/5.93  | | | | | | | | | End of split
% 38.30/5.93  | | | | | | | | | 
% 38.30/5.93  | | | | | | | | Case 2:
% 38.30/5.93  | | | | | | | | | 
% 38.30/5.93  | | | | | | | | |   (242)   ? [v0: $i] : (sdtasdt0(xl, v0) = all_33_0 &
% 38.30/5.93  | | | | | | | | |            aNaturalNumber0(v0) = 0 & $i(v0))
% 38.30/5.93  | | | | | | | | | 
% 38.30/5.93  | | | | | | | | | DELTA: instantiating (242) with fresh symbol all_125_0 gives:
% 38.30/5.93  | | | | | | | | |   (243)  sdtasdt0(xl, all_125_0) = all_33_0 &
% 38.30/5.93  | | | | | | | | |          aNaturalNumber0(all_125_0) = 0 & $i(all_125_0)
% 38.30/5.93  | | | | | | | | | 
% 38.30/5.93  | | | | | | | | | ALPHA: (243) implies:
% 38.30/5.93  | | | | | | | | |   (244)  $i(all_125_0)
% 38.30/5.93  | | | | | | | | |   (245)  sdtasdt0(xl, all_125_0) = all_33_0
% 38.30/5.93  | | | | | | | | | 
% 38.30/5.93  | | | | | | | | | BETA: splitting (197) gives:
% 38.30/5.93  | | | | | | | | | 
% 38.30/5.93  | | | | | | | | | Case 1:
% 38.30/5.93  | | | | | | | | | | 
% 38.30/5.93  | | | | | | | | | |   (246)   ~ (all_89_2 = 0)
% 38.30/5.93  | | | | | | | | | | 
% 38.30/5.93  | | | | | | | | | | REDUCE: (154), (246) imply:
% 38.30/5.93  | | | | | | | | | |   (247)  $false
% 38.30/5.93  | | | | | | | | | | 
% 38.30/5.93  | | | | | | | | | | CLOSE: (247) is inconsistent.
% 38.30/5.93  | | | | | | | | | | 
% 38.30/5.93  | | | | | | | | | Case 2:
% 38.30/5.93  | | | | | | | | | | 
% 38.30/5.93  | | | | | | | | | |   (248)  all_89_0 = 0 &  ~ (xq = xp)
% 38.30/5.93  | | | | | | | | | | 
% 38.30/5.93  | | | | | | | | | | ALPHA: (248) implies:
% 38.30/5.93  | | | | | | | | | |   (249)  all_89_0 = 0
% 38.30/5.93  | | | | | | | | | |   (250)   ~ (xq = xp)
% 38.30/5.93  | | | | | | | | | | 
% 38.30/5.93  | | | | | | | | | | REDUCE: (140), (249) imply:
% 38.30/5.93  | | | | | | | | | |   (251)  sdtlseqdt0(xq, xp) = 0
% 38.30/5.93  | | | | | | | | | | 
% 38.30/5.93  | | | | | | | | | | BETA: splitting (102) gives:
% 38.30/5.93  | | | | | | | | | | 
% 38.30/5.93  | | | | | | | | | | Case 1:
% 38.30/5.93  | | | | | | | | | | | 
% 38.30/5.93  | | | | | | | | | | |   (252)   ~ (all_65_1 = 0)
% 38.30/5.93  | | | | | | | | | | | 
% 38.30/5.93  | | | | | | | | | | | REDUCE: (167), (252) imply:
% 38.30/5.93  | | | | | | | | | | |   (253)  $false
% 38.30/5.93  | | | | | | | | | | | 
% 38.30/5.93  | | | | | | | | | | | CLOSE: (253) is inconsistent.
% 38.30/5.93  | | | | | | | | | | | 
% 38.30/5.93  | | | | | | | | | | Case 2:
% 38.30/5.93  | | | | | | | | | | | 
% 38.30/5.93  | | | | | | | | | | |   (254)   ~ (all_65_2 = 0) | all_65_0 = xm
% 38.30/5.93  | | | | | | | | | | | 
% 38.30/5.93  | | | | | | | | | | | BETA: splitting (254) gives:
% 38.30/5.93  | | | | | | | | | | | 
% 38.30/5.93  | | | | | | | | | | | Case 1:
% 38.30/5.93  | | | | | | | | | | | | 
% 38.30/5.93  | | | | | | | | | | | |   (255)   ~ (all_65_2 = 0)
% 38.30/5.93  | | | | | | | | | | | | 
% 38.30/5.93  | | | | | | | | | | | | REDUCE: (194), (255) imply:
% 38.30/5.93  | | | | | | | | | | | |   (256)  $false
% 38.30/5.93  | | | | | | | | | | | | 
% 38.30/5.93  | | | | | | | | | | | | CLOSE: (256) is inconsistent.
% 38.30/5.93  | | | | | | | | | | | | 
% 38.30/5.93  | | | | | | | | | | | Case 2:
% 38.30/5.93  | | | | | | | | | | | | 
% 38.30/5.93  | | | | | | | | | | | |   (257)  all_65_0 = xm
% 38.30/5.93  | | | | | | | | | | | | 
% 38.30/5.93  | | | | | | | | | | | | REDUCE: (101), (257) imply:
% 38.30/5.93  | | | | | | | | | | | |   (258)  sdtasdt0(xp, xl) = xm
% 38.30/5.93  | | | | | | | | | | | | 
% 38.30/5.93  | | | | | | | | | | | | BETA: splitting (81) gives:
% 38.30/5.93  | | | | | | | | | | | | 
% 38.30/5.93  | | | | | | | | | | | | Case 1:
% 38.30/5.93  | | | | | | | | | | | | | 
% 38.30/5.93  | | | | | | | | | | | | |   (259)  xl = sz00
% 38.30/5.93  | | | | | | | | | | | | | 
% 38.30/5.93  | | | | | | | | | | | | | REDUCE: (8), (259) imply:
% 38.30/5.93  | | | | | | | | | | | | |   (260)  $false
% 38.30/5.93  | | | | | | | | | | | | | 
% 38.30/5.93  | | | | | | | | | | | | | CLOSE: (260) is inconsistent.
% 38.30/5.93  | | | | | | | | | | | | | 
% 38.30/5.93  | | | | | | | | | | | | Case 2:
% 38.30/5.93  | | | | | | | | | | | | | 
% 38.30/5.93  | | | | | | | | | | | | |   (261)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :
% 38.30/5.93  | | | | | | | | | | | | |          (doDivides0(xl, all_33_0) = v2 &
% 38.30/5.93  | | | | | | | | | | | | |            aNaturalNumber0(all_33_0) = v1 &
% 38.30/5.93  | | | | | | | | | | | | |            aNaturalNumber0(xl) = v0 & ( ~ (v2 = 0) |  ~ (v1
% 38.30/5.93  | | | | | | | | | | | | |                = 0) |  ~ (v0 = 0))) | ( ! [v0: $i] : (v0 =
% 38.30/5.93  | | | | | | | | | | | | |              xq |  ~ (sdtasdt0(xl, v0) = all_33_0) |  ~
% 38.30/5.93  | | | | | | | | | | | | |              $i(v0) |  ? [v1: int] : ( ~ (v1 = 0) &
% 38.30/5.93  | | | | | | | | | | | | |                aNaturalNumber0(v0) = v1)) &  ! [v0: $i] : (
% 38.30/5.93  | | | | | | | | | | | | |              ~ (sdtasdt0(xl, xq) = v0) |  ~ $i(xq) | (v0 =
% 38.30/5.93  | | | | | | | | | | | | |                all_33_0 & aNaturalNumber0(xq) = 0)))
% 38.30/5.93  | | | | | | | | | | | | | 
% 38.30/5.93  | | | | | | | | | | | | | BETA: splitting (75) gives:
% 38.30/5.93  | | | | | | | | | | | | | 
% 38.30/5.93  | | | | | | | | | | | | | Case 1:
% 38.30/5.93  | | | | | | | | | | | | | | 
% 38.30/5.93  | | | | | | | | | | | | | |   (262)  xl = sz00
% 38.30/5.93  | | | | | | | | | | | | | | 
% 38.30/5.93  | | | | | | | | | | | | | | REDUCE: (8), (262) imply:
% 38.30/5.93  | | | | | | | | | | | | | |   (263)  $false
% 38.30/5.93  | | | | | | | | | | | | | | 
% 38.30/5.93  | | | | | | | | | | | | | | CLOSE: (263) is inconsistent.
% 38.30/5.93  | | | | | | | | | | | | | | 
% 38.30/5.93  | | | | | | | | | | | | | Case 2:
% 38.30/5.93  | | | | | | | | | | | | | | 
% 38.30/5.93  | | | | | | | | | | | | | |   (264)  xq = xp |  ? [v0: any] :  ? [v1: any] :  ? [v2:
% 38.30/5.93  | | | | | | | | | | | | | |            any] :  ? [v3: any] :  ? [v4: $i] :  ? [v5: $i]
% 38.30/5.93  | | | | | | | | | | | | | |          :  ? [v6: any] : (sdtlseqdt0(v4, v5) = v6 &
% 38.30/5.93  | | | | | | | | | | | | | |            sdtlseqdt0(xp, xq) = v3 & sdtasdt0(xq, xl) = v5
% 38.30/5.93  | | | | | | | | | | | | | |            & sdtasdt0(xp, xl) = v4 & aNaturalNumber0(xq) =
% 38.30/5.93  | | | | | | | | | | | | | |            v2 & aNaturalNumber0(xp) = v1 &
% 38.30/5.93  | | | | | | | | | | | | | |            aNaturalNumber0(xl) = v0 & $i(v5) & $i(v4) & ( ~
% 38.30/5.93  | | | | | | | | | | | | | |              (v3 = 0) |  ~ (v2 = 0) |  ~ (v1 = 0) |  ~ (v0
% 38.30/5.93  | | | | | | | | | | | | | |                = 0) | (v6 = 0 &  ~ (v5 = v4) &  ~ (all_33_0
% 38.30/5.93  | | | | | | | | | | | | | |                  = xm))))
% 38.30/5.93  | | | | | | | | | | | | | | 
% 38.30/5.93  | | | | | | | | | | | | | | BETA: splitting (127) gives:
% 38.30/5.93  | | | | | | | | | | | | | | 
% 38.30/5.93  | | | | | | | | | | | | | | Case 1:
% 38.30/5.93  | | | | | | | | | | | | | | | 
% 38.30/5.93  | | | | | | | | | | | | | | |   (265)  all_44_0 = xp
% 38.30/5.93  | | | | | | | | | | | | | | | 
% 38.30/5.93  | | | | | | | | | | | | | | | BETA: splitting (261) gives:
% 38.30/5.93  | | | | | | | | | | | | | | | 
% 38.30/5.93  | | | | | | | | | | | | | | | Case 1:
% 38.30/5.93  | | | | | | | | | | | | | | | | 
% 38.30/5.93  | | | | | | | | | | | | | | | |   (266)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :
% 38.30/5.93  | | | | | | | | | | | | | | | |          (doDivides0(xl, all_33_0) = v2 &
% 38.30/5.93  | | | | | | | | | | | | | | | |            aNaturalNumber0(all_33_0) = v1 &
% 38.30/5.93  | | | | | | | | | | | | | | | |            aNaturalNumber0(xl) = v0 & ( ~ (v2 = 0) |  ~ (v1
% 38.30/5.93  | | | | | | | | | | | | | | | |                = 0) |  ~ (v0 = 0)))
% 38.30/5.93  | | | | | | | | | | | | | | | | 
% 38.30/5.93  | | | | | | | | | | | | | | | | DELTA: instantiating (266) with fresh symbols all_177_0,
% 38.30/5.93  | | | | | | | | | | | | | | | |        all_177_1, all_177_2 gives:
% 38.30/5.93  | | | | | | | | | | | | | | | |   (267)  doDivides0(xl, all_33_0) = all_177_0 &
% 38.30/5.93  | | | | | | | | | | | | | | | |          aNaturalNumber0(all_33_0) = all_177_1 &
% 38.30/5.93  | | | | | | | | | | | | | | | |          aNaturalNumber0(xl) = all_177_2 & ( ~ (all_177_0 =
% 38.30/5.93  | | | | | | | | | | | | | | | |              0) |  ~ (all_177_1 = 0) |  ~ (all_177_2 = 0))
% 38.30/5.93  | | | | | | | | | | | | | | | | 
% 38.30/5.93  | | | | | | | | | | | | | | | | ALPHA: (267) implies:
% 38.30/5.93  | | | | | | | | | | | | | | | |   (268)  aNaturalNumber0(xl) = all_177_2
% 38.30/5.93  | | | | | | | | | | | | | | | |   (269)  aNaturalNumber0(all_33_0) = all_177_1
% 38.30/5.93  | | | | | | | | | | | | | | | |   (270)  doDivides0(xl, all_33_0) = all_177_0
% 38.30/5.93  | | | | | | | | | | | | | | | |   (271)   ~ (all_177_0 = 0) |  ~ (all_177_1 = 0) |  ~
% 38.30/5.93  | | | | | | | | | | | | | | | |          (all_177_2 = 0)
% 38.30/5.93  | | | | | | | | | | | | | | | | 
% 38.30/5.93  | | | | | | | | | | | | | | | | BETA: splitting (124) gives:
% 38.30/5.93  | | | | | | | | | | | | | | | | 
% 38.30/5.93  | | | | | | | | | | | | | | | | Case 1:
% 38.30/5.93  | | | | | | | | | | | | | | | | | 
% 38.30/5.93  | | | | | | | | | | | | | | | | |   (272)  all_44_0 = xq
% 38.30/5.93  | | | | | | | | | | | | | | | | | 
% 38.30/5.93  | | | | | | | | | | | | | | | | | COMBINE_EQS: (265), (272) imply:
% 38.30/5.93  | | | | | | | | | | | | | | | | |   (273)  xq = xp
% 38.30/5.93  | | | | | | | | | | | | | | | | | 
% 38.30/5.93  | | | | | | | | | | | | | | | | | SIMP: (273) implies:
% 38.30/5.93  | | | | | | | | | | | | | | | | |   (274)  xq = xp
% 38.30/5.93  | | | | | | | | | | | | | | | | | 
% 38.30/5.93  | | | | | | | | | | | | | | | | | REDUCE: (250), (274) imply:
% 38.30/5.93  | | | | | | | | | | | | | | | | |   (275)  $false
% 38.30/5.93  | | | | | | | | | | | | | | | | | 
% 38.30/5.93  | | | | | | | | | | | | | | | | | CLOSE: (275) is inconsistent.
% 38.30/5.93  | | | | | | | | | | | | | | | | | 
% 38.30/5.93  | | | | | | | | | | | | | | | | Case 2:
% 38.30/5.93  | | | | | | | | | | | | | | | | | 
% 38.30/5.93  | | | | | | | | | | | | | | | | | 
% 38.30/5.93  | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with 0, all_177_2, xl,
% 38.30/5.93  | | | | | | | | | | | | | | | | |              simplifying with (4), (268) gives:
% 38.30/5.93  | | | | | | | | | | | | | | | | |   (276)  all_177_2 = 0
% 38.30/5.93  | | | | | | | | | | | | | | | | | 
% 38.30/5.93  | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with 0, all_177_1, all_33_0,
% 38.30/5.93  | | | | | | | | | | | | | | | | |              simplifying with (230), (269) gives:
% 38.30/5.93  | | | | | | | | | | | | | | | | |   (277)  all_177_1 = 0
% 38.30/5.93  | | | | | | | | | | | | | | | | | 
% 38.30/5.93  | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (24) with 0, all_177_0, all_33_0,
% 38.30/5.93  | | | | | | | | | | | | | | | | |              xl, simplifying with (58), (270) gives:
% 38.30/5.93  | | | | | | | | | | | | | | | | |   (278)  all_177_0 = 0
% 38.30/5.93  | | | | | | | | | | | | | | | | | 
% 38.30/5.93  | | | | | | | | | | | | | | | | | BETA: splitting (271) gives:
% 38.30/5.93  | | | | | | | | | | | | | | | | | 
% 38.30/5.93  | | | | | | | | | | | | | | | | | Case 1:
% 38.30/5.93  | | | | | | | | | | | | | | | | | | 
% 38.30/5.93  | | | | | | | | | | | | | | | | | |   (279)   ~ (all_177_0 = 0)
% 38.30/5.93  | | | | | | | | | | | | | | | | | | 
% 38.30/5.93  | | | | | | | | | | | | | | | | | | REDUCE: (278), (279) imply:
% 38.30/5.93  | | | | | | | | | | | | | | | | | |   (280)  $false
% 38.30/5.93  | | | | | | | | | | | | | | | | | | 
% 38.30/5.93  | | | | | | | | | | | | | | | | | | CLOSE: (280) is inconsistent.
% 38.30/5.93  | | | | | | | | | | | | | | | | | | 
% 38.30/5.93  | | | | | | | | | | | | | | | | | Case 2:
% 38.30/5.93  | | | | | | | | | | | | | | | | | | 
% 38.30/5.93  | | | | | | | | | | | | | | | | | |   (281)   ~ (all_177_1 = 0) |  ~ (all_177_2 = 0)
% 38.30/5.93  | | | | | | | | | | | | | | | | | | 
% 38.30/5.93  | | | | | | | | | | | | | | | | | | BETA: splitting (281) gives:
% 38.30/5.93  | | | | | | | | | | | | | | | | | | 
% 38.30/5.93  | | | | | | | | | | | | | | | | | | Case 1:
% 38.30/5.93  | | | | | | | | | | | | | | | | | | | 
% 38.30/5.93  | | | | | | | | | | | | | | | | | | |   (282)   ~ (all_177_1 = 0)
% 38.30/5.93  | | | | | | | | | | | | | | | | | | | 
% 38.30/5.93  | | | | | | | | | | | | | | | | | | | REDUCE: (277), (282) imply:
% 38.30/5.93  | | | | | | | | | | | | | | | | | | |   (283)  $false
% 38.30/5.93  | | | | | | | | | | | | | | | | | | | 
% 38.30/5.93  | | | | | | | | | | | | | | | | | | | CLOSE: (283) is inconsistent.
% 38.30/5.93  | | | | | | | | | | | | | | | | | | | 
% 38.30/5.93  | | | | | | | | | | | | | | | | | | Case 2:
% 38.30/5.93  | | | | | | | | | | | | | | | | | | | 
% 38.30/5.93  | | | | | | | | | | | | | | | | | | |   (284)   ~ (all_177_2 = 0)
% 38.30/5.93  | | | | | | | | | | | | | | | | | | | 
% 38.30/5.93  | | | | | | | | | | | | | | | | | | | REDUCE: (276), (284) imply:
% 38.30/5.93  | | | | | | | | | | | | | | | | | | |   (285)  $false
% 38.30/5.93  | | | | | | | | | | | | | | | | | | | 
% 38.30/5.93  | | | | | | | | | | | | | | | | | | | CLOSE: (285) is inconsistent.
% 38.30/5.93  | | | | | | | | | | | | | | | | | | | 
% 38.30/5.93  | | | | | | | | | | | | | | | | | | End of split
% 38.30/5.93  | | | | | | | | | | | | | | | | | | 
% 38.30/5.93  | | | | | | | | | | | | | | | | | End of split
% 38.30/5.93  | | | | | | | | | | | | | | | | | 
% 38.30/5.93  | | | | | | | | | | | | | | | | End of split
% 38.30/5.93  | | | | | | | | | | | | | | | | 
% 38.30/5.93  | | | | | | | | | | | | | | | Case 2:
% 38.30/5.93  | | | | | | | | | | | | | | | | 
% 38.30/5.94  | | | | | | | | | | | | | | | |   (286)   ! [v0: $i] : (v0 = xq |  ~ (sdtasdt0(xl, v0) =
% 38.30/5.94  | | | | | | | | | | | | | | | |              all_33_0) |  ~ $i(v0) |  ? [v1: int] : ( ~ (v1
% 38.30/5.94  | | | | | | | | | | | | | | | |                = 0) & aNaturalNumber0(v0) = v1)) &  ! [v0:
% 38.30/5.94  | | | | | | | | | | | | | | | |            $i] : ( ~ (sdtasdt0(xl, xq) = v0) |  ~ $i(xq) |
% 38.30/5.94  | | | | | | | | | | | | | | | |            (v0 = all_33_0 & aNaturalNumber0(xq) = 0))
% 38.30/5.94  | | | | | | | | | | | | | | | | 
% 38.30/5.94  | | | | | | | | | | | | | | | | ALPHA: (286) implies:
% 38.30/5.94  | | | | | | | | | | | | | | | |   (287)   ! [v0: $i] : (v0 = xq |  ~ (sdtasdt0(xl, v0) =
% 38.30/5.94  | | | | | | | | | | | | | | | |              all_33_0) |  ~ $i(v0) |  ? [v1: int] : ( ~ (v1
% 38.30/5.94  | | | | | | | | | | | | | | | |                = 0) & aNaturalNumber0(v0) = v1))
% 38.30/5.94  | | | | | | | | | | | | | | | | 
% 38.30/5.94  | | | | | | | | | | | | | | | | GROUND_INST: instantiating (287) with all_46_0, simplifying
% 38.30/5.94  | | | | | | | | | | | | | | | |              with (51), (60) gives:
% 38.30/5.94  | | | | | | | | | | | | | | | |   (288)  all_46_0 = xq |  ? [v0: int] : ( ~ (v0 = 0) &
% 38.30/5.94  | | | | | | | | | | | | | | | |            aNaturalNumber0(all_46_0) = v0)
% 38.30/5.94  | | | | | | | | | | | | | | | | 
% 38.30/5.94  | | | | | | | | | | | | | | | | BETA: splitting (264) gives:
% 38.30/5.94  | | | | | | | | | | | | | | | | 
% 38.30/5.94  | | | | | | | | | | | | | | | | Case 1:
% 38.30/5.94  | | | | | | | | | | | | | | | | | 
% 38.30/5.94  | | | | | | | | | | | | | | | | |   (289)  xq = xp
% 38.30/5.94  | | | | | | | | | | | | | | | | | 
% 38.30/5.94  | | | | | | | | | | | | | | | | | REDUCE: (250), (289) imply:
% 38.30/5.94  | | | | | | | | | | | | | | | | |   (290)  $false
% 38.30/5.94  | | | | | | | | | | | | | | | | | 
% 38.30/5.94  | | | | | | | | | | | | | | | | | CLOSE: (290) is inconsistent.
% 38.30/5.94  | | | | | | | | | | | | | | | | | 
% 38.30/5.94  | | | | | | | | | | | | | | | | Case 2:
% 38.30/5.94  | | | | | | | | | | | | | | | | | 
% 38.30/5.94  | | | | | | | | | | | | | | | | |   (291)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :  ?
% 38.30/5.94  | | | | | | | | | | | | | | | | |          [v3: any] :  ? [v4: $i] :  ? [v5: $i] :  ? [v6:
% 38.30/5.94  | | | | | | | | | | | | | | | | |            any] : (sdtlseqdt0(v4, v5) = v6 & sdtlseqdt0(xp,
% 38.30/5.94  | | | | | | | | | | | | | | | | |              xq) = v3 & sdtasdt0(xq, xl) = v5 &
% 38.30/5.94  | | | | | | | | | | | | | | | | |            sdtasdt0(xp, xl) = v4 & aNaturalNumber0(xq) = v2
% 38.30/5.94  | | | | | | | | | | | | | | | | |            & aNaturalNumber0(xp) = v1 & aNaturalNumber0(xl)
% 38.30/5.94  | | | | | | | | | | | | | | | | |            = v0 & $i(v5) & $i(v4) & ( ~ (v3 = 0) |  ~ (v2 =
% 38.30/5.94  | | | | | | | | | | | | | | | | |                0) |  ~ (v1 = 0) |  ~ (v0 = 0) | (v6 = 0 & 
% 38.30/5.94  | | | | | | | | | | | | | | | | |                ~ (v5 = v4) &  ~ (all_33_0 = xm))))
% 38.30/5.94  | | | | | | | | | | | | | | | | | 
% 38.30/5.94  | | | | | | | | | | | | | | | | | DELTA: instantiating (291) with fresh symbols all_180_0,
% 38.30/5.94  | | | | | | | | | | | | | | | | |        all_180_1, all_180_2, all_180_3, all_180_4,
% 38.30/5.94  | | | | | | | | | | | | | | | | |        all_180_5, all_180_6 gives:
% 38.30/5.94  | | | | | | | | | | | | | | | | |   (292)  sdtlseqdt0(all_180_2, all_180_1) = all_180_0 &
% 38.30/5.94  | | | | | | | | | | | | | | | | |          sdtlseqdt0(xp, xq) = all_180_3 & sdtasdt0(xq, xl)
% 38.30/5.94  | | | | | | | | | | | | | | | | |          = all_180_1 & sdtasdt0(xp, xl) = all_180_2 &
% 38.30/5.94  | | | | | | | | | | | | | | | | |          aNaturalNumber0(xq) = all_180_4 &
% 38.30/5.94  | | | | | | | | | | | | | | | | |          aNaturalNumber0(xp) = all_180_5 &
% 38.30/5.94  | | | | | | | | | | | | | | | | |          aNaturalNumber0(xl) = all_180_6 & $i(all_180_1) &
% 38.30/5.94  | | | | | | | | | | | | | | | | |          $i(all_180_2) & ( ~ (all_180_3 = 0) |  ~
% 38.30/5.94  | | | | | | | | | | | | | | | | |            (all_180_4 = 0) |  ~ (all_180_5 = 0) |  ~
% 38.30/5.94  | | | | | | | | | | | | | | | | |            (all_180_6 = 0) | (all_180_0 = 0 &  ~ (all_180_1
% 38.30/5.94  | | | | | | | | | | | | | | | | |                = all_180_2) &  ~ (all_33_0 = xm)))
% 38.30/5.94  | | | | | | | | | | | | | | | | | 
% 38.30/5.94  | | | | | | | | | | | | | | | | | ALPHA: (292) implies:
% 38.30/5.94  | | | | | | | | | | | | | | | | |   (293)  aNaturalNumber0(xl) = all_180_6
% 38.30/5.94  | | | | | | | | | | | | | | | | |   (294)  aNaturalNumber0(xp) = all_180_5
% 38.30/5.94  | | | | | | | | | | | | | | | | |   (295)  aNaturalNumber0(xq) = all_180_4
% 38.30/5.94  | | | | | | | | | | | | | | | | |   (296)  sdtasdt0(xp, xl) = all_180_2
% 38.30/5.94  | | | | | | | | | | | | | | | | | 
% 38.30/5.94  | | | | | | | | | | | | | | | | | BETA: splitting (131) gives:
% 38.30/5.94  | | | | | | | | | | | | | | | | | 
% 38.30/5.94  | | | | | | | | | | | | | | | | | Case 1:
% 38.30/5.94  | | | | | | | | | | | | | | | | | | 
% 38.30/5.94  | | | | | | | | | | | | | | | | | |   (297)  all_46_0 = xq
% 38.30/5.94  | | | | | | | | | | | | | | | | | | 
% 38.30/5.94  | | | | | | | | | | | | | | | | | | REDUCE: (106), (297) imply:
% 38.30/5.94  | | | | | | | | | | | | | | | | | |   (298)  sdtasdt0(xq, xl) = all_67_0
% 38.30/5.94  | | | | | | | | | | | | | | | | | | 
% 38.30/5.94  | | | | | | | | | | | | | | | | | | BETA: splitting (133) gives:
% 38.30/5.94  | | | | | | | | | | | | | | | | | | 
% 38.30/5.94  | | | | | | | | | | | | | | | | | | Case 1:
% 38.30/5.94  | | | | | | | | | | | | | | | | | | | 
% 38.30/5.94  | | | | | | | | | | | | | | | | | | |   (299)  all_46_0 = xp
% 38.30/5.94  | | | | | | | | | | | | | | | | | | | 
% 38.30/5.94  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (297), (299) imply:
% 38.30/5.94  | | | | | | | | | | | | | | | | | | |   (300)  xq = xp
% 38.30/5.94  | | | | | | | | | | | | | | | | | | | 
% 38.30/5.94  | | | | | | | | | | | | | | | | | | | SIMP: (300) implies:
% 38.30/5.94  | | | | | | | | | | | | | | | | | | |   (301)  xq = xp
% 38.30/5.94  | | | | | | | | | | | | | | | | | | | 
% 38.30/5.94  | | | | | | | | | | | | | | | | | | | REDUCE: (250), (301) imply:
% 38.30/5.94  | | | | | | | | | | | | | | | | | | |   (302)  $false
% 38.30/5.94  | | | | | | | | | | | | | | | | | | | 
% 38.30/5.94  | | | | | | | | | | | | | | | | | | | CLOSE: (302) is inconsistent.
% 38.30/5.94  | | | | | | | | | | | | | | | | | | | 
% 38.30/5.94  | | | | | | | | | | | | | | | | | | Case 2:
% 38.30/5.94  | | | | | | | | | | | | | | | | | | | 
% 38.30/5.94  | | | | | | | | | | | | | | | | | | |   (303)   ~ (all_46_0 = xp)
% 38.30/5.94  | | | | | | | | | | | | | | | | | | |   (304)   ? [v0: any] :  ? [v1: any] :  ? [v2: $i] :  ?
% 38.30/5.94  | | | | | | | | | | | | | | | | | | |          [v3: $i] : (sdtasdt0(all_46_0, xl) = v2 &
% 38.30/5.94  | | | | | | | | | | | | | | | | | | |            sdtasdt0(xp, xl) = v3 &
% 38.30/5.94  | | | | | | | | | | | | | | | | | | |            aNaturalNumber0(all_46_0) = v0 &
% 38.30/5.94  | | | | | | | | | | | | | | | | | | |            aNaturalNumber0(xp) = v1 & $i(v3) & $i(v2) & ( ~
% 38.30/5.94  | | | | | | | | | | | | | | | | | | |              (v1 = 0) |  ~ (v0 = 0) | ( ~ (v3 = v2) &  ~
% 38.30/5.94  | | | | | | | | | | | | | | | | | | |                (all_33_0 = xm))))
% 38.30/5.94  | | | | | | | | | | | | | | | | | | | 
% 38.30/5.94  | | | | | | | | | | | | | | | | | | | DELTA: instantiating (304) with fresh symbols all_193_0,
% 38.30/5.94  | | | | | | | | | | | | | | | | | | |        all_193_1, all_193_2, all_193_3 gives:
% 38.30/5.94  | | | | | | | | | | | | | | | | | | |   (305)  sdtasdt0(all_46_0, xl) = all_193_1 & sdtasdt0(xp,
% 38.30/5.94  | | | | | | | | | | | | | | | | | | |            xl) = all_193_0 & aNaturalNumber0(all_46_0) =
% 38.30/5.94  | | | | | | | | | | | | | | | | | | |          all_193_3 & aNaturalNumber0(xp) = all_193_2 &
% 38.30/5.94  | | | | | | | | | | | | | | | | | | |          $i(all_193_0) & $i(all_193_1) & ( ~ (all_193_2 =
% 38.30/5.94  | | | | | | | | | | | | | | | | | | |              0) |  ~ (all_193_3 = 0) | ( ~ (all_193_0 =
% 38.30/5.94  | | | | | | | | | | | | | | | | | | |                all_193_1) &  ~ (all_33_0 = xm)))
% 38.30/5.94  | | | | | | | | | | | | | | | | | | | 
% 38.30/5.94  | | | | | | | | | | | | | | | | | | | ALPHA: (305) implies:
% 38.30/5.94  | | | | | | | | | | | | | | | | | | |   (306)  aNaturalNumber0(xp) = all_193_2
% 38.30/5.94  | | | | | | | | | | | | | | | | | | |   (307)  aNaturalNumber0(all_46_0) = all_193_3
% 38.30/5.94  | | | | | | | | | | | | | | | | | | |   (308)  sdtasdt0(xp, xl) = all_193_0
% 38.30/5.94  | | | | | | | | | | | | | | | | | | | 
% 38.30/5.94  | | | | | | | | | | | | | | | | | | | REDUCE: (297), (307) imply:
% 38.30/5.94  | | | | | | | | | | | | | | | | | | |   (309)  aNaturalNumber0(xq) = all_193_3
% 38.30/5.94  | | | | | | | | | | | | | | | | | | | 
% 38.30/5.94  | | | | | | | | | | | | | | | | | | | BETA: splitting (107) gives:
% 38.30/5.94  | | | | | | | | | | | | | | | | | | | 
% 38.30/5.94  | | | | | | | | | | | | | | | | | | | Case 1:
% 38.30/5.94  | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.94  | | | | | | | | | | | | | | | | | | | |   (310)   ~ (all_67_1 = 0)
% 38.30/5.94  | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.94  | | | | | | | | | | | | | | | | | | | | REDUCE: (163), (310) imply:
% 38.30/5.94  | | | | | | | | | | | | | | | | | | | |   (311)  $false
% 38.30/5.94  | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.94  | | | | | | | | | | | | | | | | | | | | CLOSE: (311) is inconsistent.
% 38.30/5.94  | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.94  | | | | | | | | | | | | | | | | | | | Case 2:
% 38.30/5.94  | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.94  | | | | | | | | | | | | | | | | | | | |   (312)   ~ (all_67_2 = 0) | all_67_0 = all_33_0
% 38.30/5.94  | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.94  | | | | | | | | | | | | | | | | | | | | BETA: splitting (74) gives:
% 38.30/5.94  | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.94  | | | | | | | | | | | | | | | | | | | | Case 1:
% 38.30/5.94  | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.94  | | | | | | | | | | | | | | | | | | | | |   (313)  xl = sz00
% 38.30/5.94  | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.94  | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (313) imply:
% 38.30/5.94  | | | | | | | | | | | | | | | | | | | | |   (314)  $false
% 38.30/5.94  | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.94  | | | | | | | | | | | | | | | | | | | | | CLOSE: (314) is inconsistent.
% 38.30/5.94  | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.94  | | | | | | | | | | | | | | | | | | | | Case 2:
% 38.30/5.94  | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.94  | | | | | | | | | | | | | | | | | | | | |   (315)  all_46_0 = all_44_0 |  ? [v0: any] :  ? [v1: any]
% 38.30/5.94  | | | | | | | | | | | | | | | | | | | | |          :  ? [v2: any] :  ? [v3: any] :  ? [v4: $i] :  ?
% 38.30/5.94  | | | | | | | | | | | | | | | | | | | | |          [v5: $i] :  ? [v6: any] : (sdtlseqdt0(v4, v5) = v6
% 38.30/5.94  | | | | | | | | | | | | | | | | | | | | |            & sdtlseqdt0(all_44_0, all_46_0) = v3 &
% 38.30/5.94  | | | | | | | | | | | | | | | | | | | | |            sdtasdt0(all_46_0, xl) = v5 & sdtasdt0(all_44_0,
% 38.30/5.94  | | | | | | | | | | | | | | | | | | | | |              xl) = v4 & aNaturalNumber0(all_46_0) = v2 &
% 38.30/5.94  | | | | | | | | | | | | | | | | | | | | |            aNaturalNumber0(all_44_0) = v1 &
% 38.30/5.94  | | | | | | | | | | | | | | | | | | | | |            aNaturalNumber0(xl) = v0 & $i(v5) & $i(v4) & ( ~
% 38.30/5.94  | | | | | | | | | | | | | | | | | | | | |              (v3 = 0) |  ~ (v2 = 0) |  ~ (v1 = 0) |  ~ (v0
% 38.30/5.94  | | | | | | | | | | | | | | | | | | | | |                = 0) | (v6 = 0 &  ~ (v5 = v4) &  ~ (all_33_0
% 38.30/5.94  | | | | | | | | | | | | | | | | | | | | |                  = xm))))
% 38.30/5.94  | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.94  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (129) gives:
% 38.30/5.94  | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.94  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 38.30/5.94  | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.94  | | | | | | | | | | | | | | | | | | | | | |   (316)  all_46_0 = all_44_0
% 38.30/5.94  | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.94  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (297), (316) imply:
% 38.30/5.94  | | | | | | | | | | | | | | | | | | | | | |   (317)  all_44_0 = xq
% 38.30/5.94  | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.94  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (265), (317) imply:
% 38.30/5.94  | | | | | | | | | | | | | | | | | | | | | |   (318)  xq = xp
% 38.30/5.94  | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.94  | | | | | | | | | | | | | | | | | | | | | | SIMP: (318) implies:
% 38.30/5.94  | | | | | | | | | | | | | | | | | | | | | |   (319)  xq = xp
% 38.30/5.94  | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.94  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (250), (319) imply:
% 38.30/5.94  | | | | | | | | | | | | | | | | | | | | | |   (320)  $false
% 38.30/5.94  | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.94  | | | | | | | | | | | | | | | | | | | | | | CLOSE: (320) is inconsistent.
% 38.30/5.94  | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.94  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 38.30/5.94  | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.94  | | | | | | | | | | | | | | | | | | | | | |   (321)   ~ (all_46_0 = all_44_0)
% 38.30/5.94  | | | | | | | | | | | | | | | | | | | | | |   (322)   ? [v0: any] :  ? [v1: any] :  ? [v2: $i] :  ?
% 38.30/5.94  | | | | | | | | | | | | | | | | | | | | | |          [v3: $i] : (sdtasdt0(all_46_0, xl) = v2 &
% 38.30/5.94  | | | | | | | | | | | | | | | | | | | | | |            sdtasdt0(all_44_0, xl) = v3 &
% 38.30/5.94  | | | | | | | | | | | | | | | | | | | | | |            aNaturalNumber0(all_46_0) = v0 &
% 38.30/5.94  | | | | | | | | | | | | | | | | | | | | | |            aNaturalNumber0(all_44_0) = v1 & $i(v3) & $i(v2)
% 38.30/5.94  | | | | | | | | | | | | | | | | | | | | | |            & ( ~ (v1 = 0) |  ~ (v0 = 0) | ( ~ (v3 = v2) & 
% 38.30/5.94  | | | | | | | | | | | | | | | | | | | | | |                ~ (all_33_0 = xm))))
% 38.30/5.94  | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.94  | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (322) with fresh symbols all_206_0,
% 38.30/5.94  | | | | | | | | | | | | | | | | | | | | | |        all_206_1, all_206_2, all_206_3 gives:
% 38.30/5.94  | | | | | | | | | | | | | | | | | | | | | |   (323)  sdtasdt0(all_46_0, xl) = all_206_1 &
% 38.30/5.94  | | | | | | | | | | | | | | | | | | | | | |          sdtasdt0(all_44_0, xl) = all_206_0 &
% 38.30/5.94  | | | | | | | | | | | | | | | | | | | | | |          aNaturalNumber0(all_46_0) = all_206_3 &
% 38.30/5.94  | | | | | | | | | | | | | | | | | | | | | |          aNaturalNumber0(all_44_0) = all_206_2 &
% 38.30/5.94  | | | | | | | | | | | | | | | | | | | | | |          $i(all_206_0) & $i(all_206_1) & ( ~ (all_206_2 =
% 38.30/5.94  | | | | | | | | | | | | | | | | | | | | | |              0) |  ~ (all_206_3 = 0) | ( ~ (all_206_0 =
% 38.30/5.94  | | | | | | | | | | | | | | | | | | | | | |                all_206_1) &  ~ (all_33_0 = xm)))
% 38.30/5.94  | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.94  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (323) implies:
% 38.30/5.94  | | | | | | | | | | | | | | | | | | | | | |   (324)  aNaturalNumber0(all_44_0) = all_206_2
% 38.30/5.94  | | | | | | | | | | | | | | | | | | | | | |   (325)  aNaturalNumber0(all_46_0) = all_206_3
% 38.30/5.94  | | | | | | | | | | | | | | | | | | | | | |   (326)  sdtasdt0(all_44_0, xl) = all_206_0
% 38.30/5.94  | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.94  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (265), (326) imply:
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | |   (327)  sdtasdt0(xp, xl) = all_206_0
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (297), (325) imply:
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | |   (328)  aNaturalNumber0(xq) = all_206_3
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (265), (324) imply:
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | |   (329)  aNaturalNumber0(xp) = all_206_2
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (312) gives:
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | |   (330)   ~ (all_67_2 = 0)
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (178), (330) imply:
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | |   (331)  $false
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (331) is inconsistent.
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | |   (332)  all_67_0 = all_33_0
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (298), (332) imply:
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | |   (333)  sdtasdt0(xq, xl) = all_33_0
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (315) gives:
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | |   (334)  all_46_0 = all_44_0
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (297), (334) imply:
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | |   (335)  all_44_0 = xq
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (265), (335) imply:
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | |   (336)  xq = xp
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (336) implies:
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | |   (337)  xq = xp
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (250), (337) imply:
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | |   (338)  $false
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (338) is inconsistent.
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | |   (339)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :  ?
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | |          [v3: any] :  ? [v4: $i] :  ? [v5: $i] :  ? [v6:
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | |            any] : (sdtlseqdt0(v4, v5) = v6 &
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | |            sdtlseqdt0(all_44_0, all_46_0) = v3 &
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | |            sdtasdt0(all_46_0, xl) = v5 & sdtasdt0(all_44_0,
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | |              xl) = v4 & aNaturalNumber0(all_46_0) = v2 &
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | |            aNaturalNumber0(all_44_0) = v1 &
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | |            aNaturalNumber0(xl) = v0 & $i(v5) & $i(v4) & ( ~
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | |              (v3 = 0) |  ~ (v2 = 0) |  ~ (v1 = 0) |  ~ (v0
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | |                = 0) | (v6 = 0 &  ~ (v5 = v4) &  ~ (all_33_0
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | |                  = xm))))
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (339) with fresh symbols all_215_0,
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | |        all_215_1, all_215_2, all_215_3, all_215_4,
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | |        all_215_5, all_215_6 gives:
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | |   (340)  sdtlseqdt0(all_215_2, all_215_1) = all_215_0 &
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | |          sdtlseqdt0(all_44_0, all_46_0) = all_215_3 &
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | |          sdtasdt0(all_46_0, xl) = all_215_1 &
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | |          sdtasdt0(all_44_0, xl) = all_215_2 &
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | |          aNaturalNumber0(all_46_0) = all_215_4 &
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | |          aNaturalNumber0(all_44_0) = all_215_5 &
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | |          aNaturalNumber0(xl) = all_215_6 & $i(all_215_1) &
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_215_2) & ( ~ (all_215_3 = 0) |  ~
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | |            (all_215_4 = 0) |  ~ (all_215_5 = 0) |  ~
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | |            (all_215_6 = 0) | (all_215_0 = 0 &  ~ (all_215_1
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | |                = all_215_2) &  ~ (all_33_0 = xm)))
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (340) implies:
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | |   (341)  aNaturalNumber0(xl) = all_215_6
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | |   (342)  aNaturalNumber0(all_44_0) = all_215_5
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | |   (343)  aNaturalNumber0(all_46_0) = all_215_4
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | |   (344)  sdtasdt0(all_44_0, xl) = all_215_2
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (265), (344) imply:
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | |   (345)  sdtasdt0(xp, xl) = all_215_2
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (297), (343) imply:
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | |   (346)  aNaturalNumber0(xq) = all_215_4
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (265), (342) imply:
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | |   (347)  aNaturalNumber0(xp) = all_215_5
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (132) gives:
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | | |   (348)  all_46_0 = xp
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (297), (348) imply:
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | | |   (349)  xq = xp
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (349) implies:
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | | |   (350)  xq = xp
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (250), (350) imply:
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | | |   (351)  $false
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (351) is inconsistent.
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | | |   (352)   ? [v0: any] :  ? [v1: any] :  ? [v2: $i] :  ?
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | | |          [v3: $i] : (sdtasdt0(all_46_0, xl) = v3 &
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | | |            sdtasdt0(xp, xl) = v2 &
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | | |            aNaturalNumber0(all_46_0) = v1 &
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | | |            aNaturalNumber0(xp) = v0 & $i(v3) & $i(v2) & ( ~
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | | |              (v1 = 0) |  ~ (v0 = 0) | ( ~ (v3 = v2) &  ~
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | | |                (all_33_0 = xm))))
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (352) with fresh symbols all_229_0,
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | | |        all_229_1, all_229_2, all_229_3 gives:
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | | |   (353)  sdtasdt0(all_46_0, xl) = all_229_0 & sdtasdt0(xp,
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | | |            xl) = all_229_1 & aNaturalNumber0(all_46_0) =
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | | |          all_229_2 & aNaturalNumber0(xp) = all_229_3 &
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_229_0) & $i(all_229_1) & ( ~ (all_229_2 =
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | | |              0) |  ~ (all_229_3 = 0) | ( ~ (all_229_0 =
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | | |                all_229_1) &  ~ (all_33_0 = xm)))
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (353) implies:
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | | |   (354)  aNaturalNumber0(xp) = all_229_3
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | | |   (355)  aNaturalNumber0(all_46_0) = all_229_2
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | | |   (356)  sdtasdt0(xp, xl) = all_229_1
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | | |   (357)  sdtasdt0(all_46_0, xl) = all_229_0
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (297), (357) imply:
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | | |   (358)  sdtasdt0(xq, xl) = all_229_0
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (297), (355) imply:
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | | |   (359)  aNaturalNumber0(xq) = all_229_2
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (128) gives:
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | | | |   (360)  all_46_0 = all_44_0
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (297), (360) imply:
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | | | |   (361)  all_44_0 = xq
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (265), (361) imply:
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | | | |   (362)  xq = xp
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (362) implies:
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | | | |   (363)  xq = xp
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (250), (363) imply:
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | | | |   (364)  $false
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (364) is inconsistent.
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | | | |   (365)   ? [v0: any] :  ? [v1: any] :  ? [v2: $i] :  ?
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | | | |          [v3: $i] : (sdtasdt0(all_46_0, xl) = v3 &
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | | | |            sdtasdt0(all_44_0, xl) = v2 &
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | | | |            aNaturalNumber0(all_46_0) = v1 &
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | | | |            aNaturalNumber0(all_44_0) = v0 & $i(v3) & $i(v2)
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | | | |            & ( ~ (v1 = 0) |  ~ (v0 = 0) | ( ~ (v3 = v2) & 
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | | | |                ~ (all_33_0 = xm))))
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (365) with fresh symbols all_235_0,
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | | | |        all_235_1, all_235_2, all_235_3 gives:
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | | | |   (366)  sdtasdt0(all_46_0, xl) = all_235_0 &
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | | | |          sdtasdt0(all_44_0, xl) = all_235_1 &
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | | | |          aNaturalNumber0(all_46_0) = all_235_2 &
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | | | |          aNaturalNumber0(all_44_0) = all_235_3 &
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_235_0) & $i(all_235_1) & ( ~ (all_235_2 =
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | | | |              0) |  ~ (all_235_3 = 0) | ( ~ (all_235_0 =
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | | | |                all_235_1) &  ~ (all_33_0 = xm)))
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (366) implies:
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | | | |   (367)  aNaturalNumber0(all_44_0) = all_235_3
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | | | |   (368)  aNaturalNumber0(all_46_0) = all_235_2
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | | | |   (369)  sdtasdt0(all_44_0, xl) = all_235_1
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (265), (369) imply:
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | | | |   (370)  sdtasdt0(xp, xl) = all_235_1
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (297), (368) imply:
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | | | |   (371)  aNaturalNumber0(xq) = all_235_2
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (265), (367) imply:
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | | | |   (372)  aNaturalNumber0(xp) = all_235_3
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (125) gives:
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (373)  all_44_0 = xq
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (265), (373) imply:
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (374)  xq = xp
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (250), (374) imply:
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (375)  $false
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (375) is inconsistent.
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.95  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (376)   ~ (all_44_0 = xq)
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (377)   ? [v0: any] :  ? [v1: any] :  ? [v2: $i] :  ?
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |          [v3: $i] : (sdtasdt0(all_44_0, xl) = v2 &
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |            sdtasdt0(xq, xl) = v3 &
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |            aNaturalNumber0(all_44_0) = v0 &
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |            aNaturalNumber0(xq) = v1 & $i(v3) & $i(v2) & ( ~
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (v1 = 0) |  ~ (v0 = 0) | ( ~ (v3 = v2) &  ~
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_33_0 = xm))))
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (265), (376) imply:
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (378)   ~ (xq = xp)
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (377) with fresh symbols all_245_0,
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |        all_245_1, all_245_2, all_245_3 gives:
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (379)  sdtasdt0(all_44_0, xl) = all_245_1 & sdtasdt0(xq,
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |            xl) = all_245_0 & aNaturalNumber0(all_44_0) =
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_245_3 & aNaturalNumber0(xq) = all_245_2 &
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_245_0) & $i(all_245_1) & ( ~ (all_245_2 =
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |              0) |  ~ (all_245_3 = 0) | ( ~ (all_245_0 =
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_245_1) &  ~ (all_33_0 = xm)))
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (379) implies:
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (380)  aNaturalNumber0(xq) = all_245_2
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (381)  aNaturalNumber0(all_44_0) = all_245_3
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (382)  sdtasdt0(xq, xl) = all_245_0
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (383)  sdtasdt0(all_44_0, xl) = all_245_1
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (384)   ~ (all_245_2 = 0) |  ~ (all_245_3 = 0) | ( ~
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_245_0 = all_245_1) &  ~ (all_33_0 = xm))
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (265), (383) imply:
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (385)  sdtasdt0(xp, xl) = all_245_1
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (265), (381) imply:
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (386)  aNaturalNumber0(xp) = all_245_3
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (123) gives:
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (387)  xq = xp
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (250), (387) imply:
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (388)  $false
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (388) is inconsistent.
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (389)   ? [v0: any] :  ? [v1: any] :  ? [v2: $i] :  ?
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          [v3: $i] : (sdtasdt0(xq, xl) = v2 & sdtasdt0(xp,
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              xl) = v3 & aNaturalNumber0(xq) = v0 &
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            aNaturalNumber0(xp) = v1 & $i(v3) & $i(v2) & ( ~
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (v1 = 0) |  ~ (v0 = 0) | ( ~ (v3 = v2) &  ~
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_33_0 = xm))))
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (389) with fresh symbols all_251_0,
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |        all_251_1, all_251_2, all_251_3 gives:
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (390)  sdtasdt0(xq, xl) = all_251_1 & sdtasdt0(xp, xl) =
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_251_0 & aNaturalNumber0(xq) = all_251_3 &
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          aNaturalNumber0(xp) = all_251_2 & $i(all_251_0) &
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_251_1) & ( ~ (all_251_2 = 0) |  ~
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_251_3 = 0) | ( ~ (all_251_0 = all_251_1) & 
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_33_0 = xm)))
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (390) implies:
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (391)  aNaturalNumber0(xp) = all_251_2
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (392)  aNaturalNumber0(xq) = all_251_3
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (393)  sdtasdt0(xp, xl) = all_251_0
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (394)  sdtasdt0(xq, xl) = all_251_1
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (122) gives:
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (395)  xq = xp
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (250), (395) imply:
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (396)  $false
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (396) is inconsistent.
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (397)   ? [v0: any] :  ? [v1: any] :  ? [v2: $i] :  ?
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          [v3: $i] : (sdtasdt0(xq, xl) = v3 & sdtasdt0(xp,
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              xl) = v2 & aNaturalNumber0(xq) = v1 &
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            aNaturalNumber0(xp) = v0 & $i(v3) & $i(v2) & ( ~
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (v1 = 0) |  ~ (v0 = 0) | ( ~ (v3 = v2) &  ~
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_33_0 = xm))))
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (397) with fresh symbols all_257_0,
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |        all_257_1, all_257_2, all_257_3 gives:
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (398)  sdtasdt0(xq, xl) = all_257_0 & sdtasdt0(xp, xl) =
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_257_1 & aNaturalNumber0(xq) = all_257_2 &
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          aNaturalNumber0(xp) = all_257_3 & $i(all_257_0) &
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_257_1) & ( ~ (all_257_2 = 0) |  ~
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_257_3 = 0) | ( ~ (all_257_0 = all_257_1) & 
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_33_0 = xm)))
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (398) implies:
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (399)  aNaturalNumber0(xp) = all_257_3
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (400)  aNaturalNumber0(xq) = all_257_2
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (401)  sdtasdt0(xp, xl) = all_257_1
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (402)  sdtasdt0(xq, xl) = all_257_0
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (124) gives:
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (403)  all_44_0 = xq
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (265), (403) imply:
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (404)  xq = xp
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (250), (404) imply:
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (405)  $false
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (405) is inconsistent.
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (406)   ? [v0: any] :  ? [v1: any] :  ? [v2: $i] :  ?
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          [v3: $i] : (sdtasdt0(all_44_0, xl) = v3 &
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sdtasdt0(xq, xl) = v2 &
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            aNaturalNumber0(all_44_0) = v1 &
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            aNaturalNumber0(xq) = v0 & $i(v3) & $i(v2) & ( ~
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (v1 = 0) |  ~ (v0 = 0) | ( ~ (v3 = v2) &  ~
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_33_0 = xm))))
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (406) with fresh symbols all_263_0,
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |        all_263_1, all_263_2, all_263_3 gives:
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (407)  sdtasdt0(all_44_0, xl) = all_263_0 & sdtasdt0(xq,
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            xl) = all_263_1 & aNaturalNumber0(all_44_0) =
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_263_2 & aNaturalNumber0(xq) = all_263_3 &
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_263_0) & $i(all_263_1) & ( ~ (all_263_2 =
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              0) |  ~ (all_263_3 = 0) | ( ~ (all_263_0 =
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_263_1) &  ~ (all_33_0 = xm)))
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (407) implies:
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (408)  aNaturalNumber0(xq) = all_263_3
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (409)  aNaturalNumber0(all_44_0) = all_263_2
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (410)  sdtasdt0(all_44_0, xl) = all_263_0
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (265), (410) imply:
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (411)  sdtasdt0(xp, xl) = all_263_0
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (265), (409) imply:
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (412)  aNaturalNumber0(xp) = all_263_2
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with 0, all_215_6, xl,
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (4), (341) gives:
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (413)  all_215_6 = 0
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with all_180_6, all_215_6, xl,
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (293), (341) gives:
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (414)  all_215_6 = all_180_6
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with all_215_5, all_245_3, xp,
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (347), (386) gives:
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (415)  all_245_3 = all_215_5
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with all_206_2, all_245_3, xp,
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (329), (386) gives:
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (416)  all_245_3 = all_206_2
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with all_193_2, all_245_3, xp,
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (306), (386) gives:
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (417)  all_245_3 = all_193_2
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with 0, all_251_2, xp,
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (9), (391) gives:
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (418)  all_251_2 = 0
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with all_193_2, all_251_2, xp,
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (306), (391) gives:
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (419)  all_251_2 = all_193_2
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with all_235_3, all_257_3, xp,
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (372), (399) gives:
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (420)  all_257_3 = all_235_3
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with all_180_5, all_257_3, xp,
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (294), (399) gives:
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (421)  all_257_3 = all_180_5
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with all_235_3, all_263_2, xp,
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (372), (412) gives:
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (422)  all_263_2 = all_235_3
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with all_229_3, all_263_2, xp,
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (354), (412) gives:
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (423)  all_263_2 = all_229_3
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with all_215_5, all_263_2, xp,
% 38.30/5.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (347), (412) gives:
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (424)  all_263_2 = all_215_5
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with 0, all_193_3, xq,
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (26), (309) gives:
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (425)  all_193_3 = 0
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with all_215_4, all_235_2, xq,
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (346), (371) gives:
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (426)  all_235_2 = all_215_4
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with all_193_3, all_235_2, xq,
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (309), (371) gives:
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (427)  all_235_2 = all_193_3
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with all_235_2, all_245_2, xq,
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (371), (380) gives:
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (428)  all_245_2 = all_235_2
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with all_229_2, all_245_2, xq,
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (359), (380) gives:
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (429)  all_245_2 = all_229_2
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with all_245_2, all_251_3, xq,
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (380), (392) gives:
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (430)  all_251_3 = all_245_2
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with all_251_3, all_257_2, xq,
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (392), (400) gives:
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (431)  all_257_2 = all_251_3
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with all_206_3, all_257_2, xq,
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (328), (400) gives:
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (432)  all_257_2 = all_206_3
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with all_235_2, all_263_3, xq,
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (371), (408) gives:
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (433)  all_263_3 = all_235_2
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with all_180_4, all_263_3, xq,
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (295), (408) gives:
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (434)  all_263_3 = all_180_4
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (22) with all_180_2, all_206_0, xl,
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              xp, simplifying with (296), (327) gives:
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (435)  all_206_0 = all_180_2
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (22) with all_206_0, all_215_2, xl,
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              xp, simplifying with (327), (345) gives:
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (436)  all_215_2 = all_206_0
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (22) with all_215_2, all_229_1, xl,
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              xp, simplifying with (345), (356) gives:
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (437)  all_229_1 = all_215_2
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (22) with all_229_1, all_235_1, xl,
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              xp, simplifying with (356), (370) gives:
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (438)  all_235_1 = all_229_1
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (22) with all_235_1, all_245_1, xl,
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              xp, simplifying with (370), (385) gives:
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (439)  all_245_1 = all_235_1
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (22) with all_206_0, all_257_1, xl,
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              xp, simplifying with (327), (401) gives:
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (440)  all_257_1 = all_206_0
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (22) with xm, all_257_1, xl, xp,
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (258), (401) gives:
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (441)  all_257_1 = xm
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (22) with all_251_0, all_263_0, xl,
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              xp, simplifying with (393), (411) gives:
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (442)  all_263_0 = all_251_0
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (22) with all_245_1, all_263_0, xl,
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              xp, simplifying with (385), (411) gives:
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (443)  all_263_0 = all_245_1
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (22) with all_193_0, all_263_0, xl,
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              xp, simplifying with (308), (411) gives:
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (444)  all_263_0 = all_193_0
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (22) with all_229_0, all_245_0, xl,
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              xq, simplifying with (358), (382) gives:
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (445)  all_245_0 = all_229_0
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (22) with all_251_1, all_257_0, xl,
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              xq, simplifying with (394), (402) gives:
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (446)  all_257_0 = all_251_1
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (22) with all_245_0, all_257_0, xl,
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              xq, simplifying with (382), (402) gives:
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (447)  all_257_0 = all_245_0
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (22) with all_33_0, all_257_0, xl,
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              xq, simplifying with (333), (402) gives:
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (448)  all_257_0 = all_33_0
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (442), (444) imply:
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (449)  all_251_0 = all_193_0
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (442), (443) imply:
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (450)  all_251_0 = all_245_1
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (422), (423) imply:
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (451)  all_235_3 = all_229_3
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (451) implies:
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (452)  all_235_3 = all_229_3
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (423), (424) imply:
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (453)  all_229_3 = all_215_5
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (433), (434) imply:
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (454)  all_235_2 = all_180_4
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (454) implies:
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (455)  all_235_2 = all_180_4
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (446), (447) imply:
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (456)  all_251_1 = all_245_0
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (446), (448) imply:
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (457)  all_251_1 = all_33_0
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (440), (441) imply:
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (458)  all_206_0 = xm
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (458) implies:
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (459)  all_206_0 = xm
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (431), (432) imply:
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (460)  all_251_3 = all_206_3
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (460) implies:
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (461)  all_251_3 = all_206_3
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (420), (421) imply:
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (462)  all_235_3 = all_180_5
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (462) implies:
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (463)  all_235_3 = all_180_5
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (449), (450) imply:
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (464)  all_245_1 = all_193_0
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (464) implies:
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (465)  all_245_1 = all_193_0
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (456), (457) imply:
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (466)  all_245_0 = all_33_0
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (466) implies:
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (467)  all_245_0 = all_33_0
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (418), (419) imply:
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (468)  all_193_2 = 0
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (468) implies:
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (469)  all_193_2 = 0
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (430), (461) imply:
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (470)  all_245_2 = all_206_3
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (470) implies:
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (471)  all_245_2 = all_206_3
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (445), (467) imply:
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (472)  all_229_0 = all_33_0
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (439), (465) imply:
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (473)  all_235_1 = all_193_0
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (473) implies:
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (474)  all_235_1 = all_193_0
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (428), (429) imply:
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (475)  all_235_2 = all_229_2
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (475) implies:
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (476)  all_235_2 = all_229_2
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (429), (471) imply:
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (477)  all_229_2 = all_206_3
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (415), (416) imply:
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (478)  all_215_5 = all_206_2
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (478) implies:
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (479)  all_215_5 = all_206_2
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (416), (417) imply:
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (480)  all_206_2 = all_193_2
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (438), (474) imply:
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (481)  all_229_1 = all_193_0
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (481) implies:
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (482)  all_229_1 = all_193_0
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (426), (427) imply:
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (483)  all_215_4 = all_193_3
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (426), (455) imply:
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (484)  all_215_4 = all_180_4
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (426), (476) imply:
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (485)  all_229_2 = all_215_4
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (485) implies:
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (486)  all_229_2 = all_215_4
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (452), (463) imply:
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (487)  all_229_3 = all_180_5
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (487) implies:
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (488)  all_229_3 = all_180_5
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (437), (482) imply:
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (489)  all_215_2 = all_193_0
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (489) implies:
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (490)  all_215_2 = all_193_0
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (477), (486) imply:
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (491)  all_215_4 = all_206_3
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (491) implies:
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (492)  all_215_4 = all_206_3
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (453), (488) imply:
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (493)  all_215_5 = all_180_5
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (493) implies:
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (494)  all_215_5 = all_180_5
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (436), (490) imply:
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (495)  all_206_0 = all_193_0
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (495) implies:
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (496)  all_206_0 = all_193_0
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (492) imply:
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (497)  all_206_3 = all_180_4
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (483), (492) imply:
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (498)  all_206_3 = all_193_3
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (479), (494) imply:
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (499)  all_206_2 = all_180_5
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (499) implies:
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (500)  all_206_2 = all_180_5
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (413), (414) imply:
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (501)  all_180_6 = 0
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (435), (496) imply:
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (502)  all_193_0 = all_180_2
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (459), (496) imply:
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (503)  all_193_0 = xm
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (480), (500) imply:
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (504)  all_193_2 = all_180_5
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (504) implies:
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (505)  all_193_2 = all_180_5
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (497), (498) imply:
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (506)  all_193_3 = all_180_4
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (506) implies:
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (507)  all_193_3 = all_180_4
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (502), (503) imply:
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (508)  all_180_2 = xm
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (469), (505) imply:
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (509)  all_180_5 = 0
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (425), (507) imply:
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (510)  all_180_4 = 0
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (497), (510) imply:
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (511)  all_206_3 = 0
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (500), (509) imply:
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (512)  all_206_2 = 0
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (477), (511) imply:
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (513)  all_229_2 = 0
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (416), (512) imply:
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (514)  all_245_3 = 0
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (429), (513) imply:
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (515)  all_245_2 = 0
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (465), (503) imply:
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (516)  all_245_1 = xm
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (384) gives:
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 38.30/5.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (517)   ~ (all_245_2 = 0)
% 38.30/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (515), (517) imply:
% 38.30/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (518)  $false
% 38.30/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (518) is inconsistent.
% 38.30/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 38.30/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (519)   ~ (all_245_3 = 0) | ( ~ (all_245_0 = all_245_1) &
% 38.30/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (all_33_0 = xm))
% 38.30/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (519) gives:
% 38.30/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 38.30/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (520)   ~ (all_245_3 = 0)
% 38.30/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (514), (520) imply:
% 38.30/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (521)  $false
% 38.30/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (521) is inconsistent.
% 38.30/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 38.30/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (522)   ~ (all_245_0 = all_245_1) &  ~ (all_33_0 = xm)
% 38.30/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (522) implies:
% 38.30/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (523)   ~ (all_245_0 = all_245_1)
% 38.30/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (467), (516), (523) imply:
% 38.30/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (524)   ~ (all_33_0 = xm)
% 38.30/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (76) gives:
% 38.30/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 38.30/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (525)  all_33_0 = xm
% 38.30/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (524), (525) imply:
% 38.30/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (526)  $false
% 38.30/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (526) is inconsistent.
% 38.30/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 38.30/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (527)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :
% 38.30/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (sdtlseqdt0(all_33_0, xm) = v2 &
% 38.30/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            aNaturalNumber0(all_33_0) = v1 &
% 38.30/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            aNaturalNumber0(xm) = v0 & ( ~ (v2 = 0) |  ~ (v1
% 38.30/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = 0) |  ~ (v0 = 0)))
% 38.30/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (527) with fresh symbols all_292_0,
% 38.30/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |        all_292_1, all_292_2 gives:
% 38.30/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (528)  sdtlseqdt0(all_33_0, xm) = all_292_0 &
% 38.30/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          aNaturalNumber0(all_33_0) = all_292_1 &
% 38.30/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          aNaturalNumber0(xm) = all_292_2 & ( ~ (all_292_0 =
% 38.30/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              0) |  ~ (all_292_1 = 0) |  ~ (all_292_2 = 0))
% 38.30/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (528) implies:
% 38.30/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (529)  aNaturalNumber0(xm) = all_292_2
% 38.30/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (530)  aNaturalNumber0(all_33_0) = all_292_1
% 38.30/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (531)  sdtlseqdt0(all_33_0, xm) = all_292_0
% 38.30/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (532)   ~ (all_292_0 = 0) |  ~ (all_292_1 = 0) |  ~
% 38.30/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_292_2 = 0)
% 38.30/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with 0, all_292_2, xm,
% 38.30/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (5), (529) gives:
% 38.30/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (533)  all_292_2 = 0
% 38.30/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with 0, all_292_1, all_33_0,
% 38.30/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (230), (530) gives:
% 38.30/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (534)  all_292_1 = 0
% 38.30/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (532) gives:
% 38.30/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 38.30/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (535)   ~ (all_292_0 = 0)
% 38.30/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (mMulComm) with xl, all_109_0, xm,
% 38.30/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (12), (223), (224) gives:
% 38.30/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (536)   ? [v0: any] :  ? [v1: any] :  ? [v2: $i] :
% 38.30/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (sdtasdt0(all_109_0, xl) = v2 &
% 38.30/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            aNaturalNumber0(all_109_0) = v1 &
% 38.30/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            aNaturalNumber0(xl) = v0 & $i(v2) & ( ~ (v1 = 0)
% 38.30/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              |  ~ (v0 = 0) | v2 = xm))
% 38.30/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.30/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (mMulComm) with xl, all_125_0,
% 38.30/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_33_0, simplifying with (12), (244), (245)
% 38.30/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 38.68/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (537)   ? [v0: any] :  ? [v1: any] :  ? [v2: $i] :
% 38.68/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (sdtasdt0(all_125_0, xl) = v2 &
% 38.68/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            aNaturalNumber0(all_125_0) = v1 &
% 38.68/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            aNaturalNumber0(xl) = v0 & $i(v2) & ( ~ (v1 = 0)
% 38.68/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              |  ~ (v0 = 0) | v2 = all_33_0))
% 38.68/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.68/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with xl, xq, xp, all_33_0, xm,
% 38.68/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_292_0, simplifying with (10), (12), (17),
% 38.68/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (18), (28), (531) gives:
% 38.68/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (538)  xq = xp | xl = sz00 |  ? [v0: any] :  ? [v1: any]
% 38.68/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          :  ? [v2: any] :  ? [v3: any] :  ? [v4: $i] :  ?
% 38.68/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          [v5: $i] :  ? [v6: any] : (sdtlseqdt0(v4, v5) = v6
% 38.68/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & sdtlseqdt0(xq, xp) = v3 & sdtasdt0(xq, xl) =
% 38.68/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            v4 & sdtasdt0(xp, xl) = v5 & aNaturalNumber0(xq)
% 38.68/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = v1 & aNaturalNumber0(xp) = v2 &
% 38.68/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            aNaturalNumber0(xl) = v0 & $i(v5) & $i(v4) & ( ~
% 38.68/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (v3 = 0) |  ~ (v2 = 0) |  ~ (v1 = 0) |  ~ (v0
% 38.68/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = 0) | (v6 = 0 & all_292_0 = 0 &  ~ (v5 =
% 38.68/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  v4) &  ~ (all_33_0 = xm))))
% 38.68/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.68/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (537) with fresh symbols all_309_0,
% 38.68/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |        all_309_1, all_309_2 gives:
% 38.68/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (539)  sdtasdt0(all_125_0, xl) = all_309_0 &
% 38.68/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          aNaturalNumber0(all_125_0) = all_309_1 &
% 38.68/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          aNaturalNumber0(xl) = all_309_2 & $i(all_309_0) &
% 38.68/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ( ~ (all_309_1 = 0) |  ~ (all_309_2 = 0) |
% 38.68/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_309_0 = all_33_0)
% 38.68/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.68/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (539) implies:
% 38.68/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (540)  aNaturalNumber0(xl) = all_309_2
% 38.68/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.68/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (536) with fresh symbols all_311_0,
% 38.68/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |        all_311_1, all_311_2 gives:
% 38.68/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (541)  sdtasdt0(all_109_0, xl) = all_311_0 &
% 38.68/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          aNaturalNumber0(all_109_0) = all_311_1 &
% 38.68/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          aNaturalNumber0(xl) = all_311_2 & $i(all_311_0) &
% 38.68/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ( ~ (all_311_1 = 0) |  ~ (all_311_2 = 0) |
% 38.68/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_311_0 = xm)
% 38.68/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.68/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (541) implies:
% 38.68/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (542)  aNaturalNumber0(xl) = all_311_2
% 38.68/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.68/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (538) gives:
% 38.68/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.68/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 38.68/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.68/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (543)  xl = sz00
% 38.68/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.68/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (543) imply:
% 38.68/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (544)  $false
% 38.68/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.68/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (544) is inconsistent.
% 38.68/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.68/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 38.68/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.68/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (545)  xq = xp |  ? [v0: any] :  ? [v1: any] :  ? [v2:
% 38.68/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            any] :  ? [v3: any] :  ? [v4: $i] :  ? [v5: $i]
% 38.68/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          :  ? [v6: any] : (sdtlseqdt0(v4, v5) = v6 &
% 38.68/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sdtlseqdt0(xq, xp) = v3 & sdtasdt0(xq, xl) = v4
% 38.68/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & sdtasdt0(xp, xl) = v5 & aNaturalNumber0(xq) =
% 38.68/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            v1 & aNaturalNumber0(xp) = v2 &
% 38.68/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            aNaturalNumber0(xl) = v0 & $i(v5) & $i(v4) & ( ~
% 38.68/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (v3 = 0) |  ~ (v2 = 0) |  ~ (v1 = 0) |  ~ (v0
% 38.68/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = 0) | (v6 = 0 & all_292_0 = 0 &  ~ (v5 =
% 38.68/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  v4) &  ~ (all_33_0 = xm))))
% 38.68/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.68/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (545) gives:
% 38.68/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.68/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 38.68/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.68/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (546)  xq = xp
% 38.68/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.68/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (250), (546) imply:
% 38.68/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (547)  $false
% 38.68/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.68/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (547) is inconsistent.
% 38.68/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.68/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 38.68/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.68/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (548)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :  ?
% 38.68/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          [v3: any] :  ? [v4: $i] :  ? [v5: $i] :  ? [v6:
% 38.68/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            any] : (sdtlseqdt0(v4, v5) = v6 & sdtlseqdt0(xq,
% 38.68/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              xp) = v3 & sdtasdt0(xq, xl) = v4 &
% 38.68/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sdtasdt0(xp, xl) = v5 & aNaturalNumber0(xq) = v1
% 38.68/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & aNaturalNumber0(xp) = v2 & aNaturalNumber0(xl)
% 38.68/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = v0 & $i(v5) & $i(v4) & ( ~ (v3 = 0) |  ~ (v2 =
% 38.68/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                0) |  ~ (v1 = 0) |  ~ (v0 = 0) | (v6 = 0 &
% 38.68/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_292_0 = 0 &  ~ (v5 = v4) &  ~ (all_33_0
% 38.68/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = xm))))
% 38.68/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.68/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (548) with fresh symbols all_330_0,
% 38.68/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |        all_330_1, all_330_2, all_330_3, all_330_4,
% 38.68/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |        all_330_5, all_330_6 gives:
% 38.68/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (549)  sdtlseqdt0(all_330_2, all_330_1) = all_330_0 &
% 38.68/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          sdtlseqdt0(xq, xp) = all_330_3 & sdtasdt0(xq, xl)
% 38.68/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          = all_330_2 & sdtasdt0(xp, xl) = all_330_1 &
% 38.68/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          aNaturalNumber0(xq) = all_330_5 &
% 38.68/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          aNaturalNumber0(xp) = all_330_4 &
% 38.68/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          aNaturalNumber0(xl) = all_330_6 & $i(all_330_1) &
% 38.68/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_330_2) & ( ~ (all_330_3 = 0) |  ~
% 38.68/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_330_4 = 0) |  ~ (all_330_5 = 0) |  ~
% 38.68/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_330_6 = 0) | (all_330_0 = 0 & all_292_0 = 0
% 38.68/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_330_1 = all_330_2) &  ~ (all_33_0 =
% 38.68/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                xm)))
% 38.68/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.68/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (549) implies:
% 38.68/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (550)  aNaturalNumber0(xl) = all_330_6
% 38.68/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (551)  aNaturalNumber0(xp) = all_330_4
% 38.68/5.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (552)  aNaturalNumber0(xq) = all_330_5
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (553)  sdtlseqdt0(xq, xp) = all_330_3
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (554)   ~ (all_330_3 = 0) |  ~ (all_330_4 = 0) |  ~
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_330_5 = 0) |  ~ (all_330_6 = 0) | (all_330_0
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = 0 & all_292_0 = 0 &  ~ (all_330_1 = all_330_2)
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_33_0 = xm))
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with 0, all_311_2, xl,
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (4), (542) gives:
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (555)  all_311_2 = 0
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with all_311_2, all_330_6, xl,
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (542), (550) gives:
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (556)  all_330_6 = all_311_2
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with all_309_2, all_330_6, xl,
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (540), (550) gives:
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (557)  all_330_6 = all_309_2
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with 0, all_330_4, xp,
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (9), (551) gives:
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (558)  all_330_4 = 0
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with 0, all_330_5, xq,
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (26), (552) gives:
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (559)  all_330_5 = 0
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (23) with 0, all_330_3, xp, xq,
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (251), (553) gives:
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (560)  all_330_3 = 0
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (556), (557) imply:
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (561)  all_311_2 = all_309_2
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (561) implies:
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (562)  all_311_2 = all_309_2
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (555), (562) imply:
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (563)  all_309_2 = 0
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (563) implies:
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (564)  all_309_2 = 0
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (557), (564) imply:
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (565)  all_330_6 = 0
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (554) gives:
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (566)   ~ (all_330_3 = 0)
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (560), (566) imply:
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (567)  $false
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (567) is inconsistent.
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (568)   ~ (all_330_4 = 0) |  ~ (all_330_5 = 0) |  ~
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_330_6 = 0) | (all_330_0 = 0 & all_292_0 = 0 &
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (all_330_1 = all_330_2) &  ~ (all_33_0 = xm))
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (568) gives:
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (569)   ~ (all_330_4 = 0)
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (558), (569) imply:
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (570)  $false
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (570) is inconsistent.
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (571)   ~ (all_330_5 = 0) |  ~ (all_330_6 = 0) |
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_330_0 = 0 & all_292_0 = 0 &  ~ (all_330_1 =
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_330_2) &  ~ (all_33_0 = xm))
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (571) gives:
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (572)   ~ (all_330_5 = 0)
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (559), (572) imply:
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (573)  $false
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (573) is inconsistent.
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (574)   ~ (all_330_6 = 0) | (all_330_0 = 0 & all_292_0 =
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            0 &  ~ (all_330_1 = all_330_2) &  ~ (all_33_0 =
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              xm))
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (574) gives:
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (575)   ~ (all_330_6 = 0)
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (565), (575) imply:
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (576)  $false
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (576) is inconsistent.
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (577)  all_330_0 = 0 & all_292_0 = 0 &  ~ (all_330_1 =
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_330_2) &  ~ (all_33_0 = xm)
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (577) implies:
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (578)  all_292_0 = 0
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (535), (578) imply:
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (579)  $false
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (579) is inconsistent.
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (580)   ~ (all_292_1 = 0) |  ~ (all_292_2 = 0)
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (580) gives:
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (581)   ~ (all_292_1 = 0)
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (534), (581) imply:
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (582)  $false
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (582) is inconsistent.
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (583)   ~ (all_292_2 = 0)
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (533), (583) imply:
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (584)  $false
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (584) is inconsistent.
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | | 
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | | 
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | End of split
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | | 
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | End of split
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | | 
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | End of split
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | 
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | End of split
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | 
% 38.68/5.99  | | | | | | | | | | | | | | | | | | End of split
% 38.68/5.99  | | | | | | | | | | | | | | | | | | 
% 38.68/5.99  | | | | | | | | | | | | | | | | | Case 2:
% 38.68/5.99  | | | | | | | | | | | | | | | | | | 
% 38.68/5.99  | | | | | | | | | | | | | | | | | |   (585)   ~ (all_46_0 = xq)
% 38.68/5.99  | | | | | | | | | | | | | | | | | | 
% 38.68/5.99  | | | | | | | | | | | | | | | | | | BETA: splitting (288) gives:
% 38.68/5.99  | | | | | | | | | | | | | | | | | | 
% 38.68/5.99  | | | | | | | | | | | | | | | | | | Case 1:
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | 
% 38.68/5.99  | | | | | | | | | | | | | | | | | | |   (586)  all_46_0 = xq
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | 
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | REDUCE: (585), (586) imply:
% 38.68/5.99  | | | | | | | | | | | | | | | | | | |   (587)  $false
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | 
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | CLOSE: (587) is inconsistent.
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | 
% 38.68/5.99  | | | | | | | | | | | | | | | | | | Case 2:
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | 
% 38.68/5.99  | | | | | | | | | | | | | | | | | | |   (588)   ? [v0: int] : ( ~ (v0 = 0) &
% 38.68/5.99  | | | | | | | | | | | | | | | | | | |            aNaturalNumber0(all_46_0) = v0)
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | 
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | DELTA: instantiating (588) with fresh symbol all_195_0
% 38.68/5.99  | | | | | | | | | | | | | | | | | | |        gives:
% 38.68/5.99  | | | | | | | | | | | | | | | | | | |   (589)   ~ (all_195_0 = 0) & aNaturalNumber0(all_46_0) =
% 38.68/5.99  | | | | | | | | | | | | | | | | | | |          all_195_0
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | 
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | ALPHA: (589) implies:
% 38.68/5.99  | | | | | | | | | | | | | | | | | | |   (590)   ~ (all_195_0 = 0)
% 38.68/5.99  | | | | | | | | | | | | | | | | | | |   (591)  aNaturalNumber0(all_46_0) = all_195_0
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | 
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | BETA: splitting (130) gives:
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | 
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | Case 1:
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | 
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | |   (592)  all_46_0 = xq
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | 
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | REDUCE: (585), (592) imply:
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | |   (593)  $false
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | 
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | CLOSE: (593) is inconsistent.
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | 
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | Case 2:
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | 
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | |   (594)   ? [v0: any] :  ? [v1: any] :  ? [v2: $i] :  ?
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | |          [v3: $i] : (sdtasdt0(all_46_0, xl) = v3 &
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | |            sdtasdt0(xq, xl) = v2 &
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | |            aNaturalNumber0(all_46_0) = v1 &
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | |            aNaturalNumber0(xq) = v0 & $i(v3) & $i(v2) & ( ~
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | |              (v1 = 0) |  ~ (v0 = 0)))
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | 
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (594) with fresh symbols all_209_0,
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | |        all_209_1, all_209_2, all_209_3 gives:
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | |   (595)  sdtasdt0(all_46_0, xl) = all_209_0 & sdtasdt0(xq,
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | |            xl) = all_209_1 & aNaturalNumber0(all_46_0) =
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | |          all_209_2 & aNaturalNumber0(xq) = all_209_3 &
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | |          $i(all_209_0) & $i(all_209_1) & ( ~ (all_209_2 =
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | |              0) |  ~ (all_209_3 = 0))
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | 
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | ALPHA: (595) implies:
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | |   (596)  aNaturalNumber0(all_46_0) = all_209_2
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | 
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with 0, all_209_2, all_46_0,
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | |              simplifying with (52), (596) gives:
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | |   (597)  all_209_2 = 0
% 38.68/5.99  | | | | | | | | | | | | | | | | | | | | 
% 38.68/6.00  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with all_195_0, all_209_2,
% 38.68/6.00  | | | | | | | | | | | | | | | | | | | |              all_46_0, simplifying with (591), (596) gives:
% 38.68/6.00  | | | | | | | | | | | | | | | | | | | |   (598)  all_209_2 = all_195_0
% 38.68/6.00  | | | | | | | | | | | | | | | | | | | | 
% 38.68/6.00  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (597), (598) imply:
% 38.68/6.00  | | | | | | | | | | | | | | | | | | | |   (599)  all_195_0 = 0
% 38.68/6.00  | | | | | | | | | | | | | | | | | | | | 
% 38.68/6.00  | | | | | | | | | | | | | | | | | | | | REDUCE: (590), (599) imply:
% 38.68/6.00  | | | | | | | | | | | | | | | | | | | |   (600)  $false
% 38.68/6.00  | | | | | | | | | | | | | | | | | | | | 
% 38.68/6.00  | | | | | | | | | | | | | | | | | | | | CLOSE: (600) is inconsistent.
% 38.68/6.00  | | | | | | | | | | | | | | | | | | | | 
% 38.68/6.00  | | | | | | | | | | | | | | | | | | | End of split
% 38.68/6.00  | | | | | | | | | | | | | | | | | | | 
% 38.68/6.00  | | | | | | | | | | | | | | | | | | End of split
% 38.68/6.00  | | | | | | | | | | | | | | | | | | 
% 38.68/6.00  | | | | | | | | | | | | | | | | | End of split
% 38.68/6.00  | | | | | | | | | | | | | | | | | 
% 38.68/6.00  | | | | | | | | | | | | | | | | End of split
% 38.68/6.00  | | | | | | | | | | | | | | | | 
% 38.68/6.00  | | | | | | | | | | | | | | | End of split
% 38.68/6.00  | | | | | | | | | | | | | | | 
% 38.68/6.00  | | | | | | | | | | | | | | Case 2:
% 38.68/6.00  | | | | | | | | | | | | | | | 
% 38.68/6.00  | | | | | | | | | | | | | | |   (601)   ~ (all_44_0 = xp)
% 38.68/6.00  | | | | | | | | | | | | | | |   (602)   ? [v0: any] :  ? [v1: any] :  ? [v2: $i] :  ?
% 38.68/6.00  | | | | | | | | | | | | | | |          [v3: $i] : (sdtasdt0(all_44_0, xl) = v2 &
% 38.68/6.00  | | | | | | | | | | | | | | |            sdtasdt0(xp, xl) = v3 &
% 38.68/6.00  | | | | | | | | | | | | | | |            aNaturalNumber0(all_44_0) = v0 &
% 38.68/6.00  | | | | | | | | | | | | | | |            aNaturalNumber0(xp) = v1 & $i(v3) & $i(v2) & ( ~
% 38.68/6.00  | | | | | | | | | | | | | | |              (v1 = 0) |  ~ (v0 = 0)))
% 38.68/6.00  | | | | | | | | | | | | | | | 
% 38.68/6.00  | | | | | | | | | | | | | | | DELTA: instantiating (602) with fresh symbols all_178_0,
% 38.68/6.00  | | | | | | | | | | | | | | |        all_178_1, all_178_2, all_178_3 gives:
% 38.68/6.00  | | | | | | | | | | | | | | |   (603)  sdtasdt0(all_44_0, xl) = all_178_1 & sdtasdt0(xp,
% 38.68/6.00  | | | | | | | | | | | | | | |            xl) = all_178_0 & aNaturalNumber0(all_44_0) =
% 38.68/6.00  | | | | | | | | | | | | | | |          all_178_3 & aNaturalNumber0(xp) = all_178_2 &
% 38.68/6.00  | | | | | | | | | | | | | | |          $i(all_178_0) & $i(all_178_1) & ( ~ (all_178_2 =
% 38.68/6.00  | | | | | | | | | | | | | | |              0) |  ~ (all_178_3 = 0))
% 38.68/6.00  | | | | | | | | | | | | | | | 
% 38.68/6.00  | | | | | | | | | | | | | | | ALPHA: (603) implies:
% 38.68/6.00  | | | | | | | | | | | | | | |   (604)  aNaturalNumber0(xp) = all_178_2
% 38.68/6.00  | | | | | | | | | | | | | | |   (605)  aNaturalNumber0(all_44_0) = all_178_3
% 38.68/6.00  | | | | | | | | | | | | | | |   (606)   ~ (all_178_2 = 0) |  ~ (all_178_3 = 0)
% 38.68/6.00  | | | | | | | | | | | | | | | 
% 38.68/6.00  | | | | | | | | | | | | | | | BETA: splitting (123) gives:
% 38.68/6.00  | | | | | | | | | | | | | | | 
% 38.68/6.00  | | | | | | | | | | | | | | | Case 1:
% 38.68/6.00  | | | | | | | | | | | | | | | | 
% 38.68/6.00  | | | | | | | | | | | | | | | |   (607)  xq = xp
% 38.68/6.00  | | | | | | | | | | | | | | | | 
% 38.68/6.00  | | | | | | | | | | | | | | | | REDUCE: (250), (607) imply:
% 38.68/6.00  | | | | | | | | | | | | | | | |   (608)  $false
% 38.68/6.00  | | | | | | | | | | | | | | | | 
% 38.68/6.00  | | | | | | | | | | | | | | | | CLOSE: (608) is inconsistent.
% 38.68/6.00  | | | | | | | | | | | | | | | | 
% 38.68/6.00  | | | | | | | | | | | | | | | Case 2:
% 38.68/6.00  | | | | | | | | | | | | | | | | 
% 38.68/6.00  | | | | | | | | | | | | | | | |   (609)   ? [v0: any] :  ? [v1: any] :  ? [v2: $i] :  ?
% 38.68/6.00  | | | | | | | | | | | | | | | |          [v3: $i] : (sdtasdt0(xq, xl) = v2 & sdtasdt0(xp,
% 38.68/6.00  | | | | | | | | | | | | | | | |              xl) = v3 & aNaturalNumber0(xq) = v0 &
% 38.68/6.00  | | | | | | | | | | | | | | | |            aNaturalNumber0(xp) = v1 & $i(v3) & $i(v2) & ( ~
% 38.68/6.00  | | | | | | | | | | | | | | | |              (v1 = 0) |  ~ (v0 = 0) | ( ~ (v3 = v2) &  ~
% 38.68/6.00  | | | | | | | | | | | | | | | |                (all_33_0 = xm))))
% 38.68/6.00  | | | | | | | | | | | | | | | | 
% 38.68/6.00  | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 38.68/6.00  | | | | | | | | | | | | | | | | 
% 38.68/6.00  | | | | | | | | | | | | | | | | Case 1:
% 38.68/6.00  | | | | | | | | | | | | | | | | | 
% 38.68/6.00  | | | | | | | | | | | | | | | | |   (610)  all_35_0 = 0
% 38.68/6.00  | | | | | | | | | | | | | | | | | 
% 38.68/6.00  | | | | | | | | | | | | | | | | | REDUCE: (31), (610) imply:
% 38.68/6.00  | | | | | | | | | | | | | | | | |   (611)  $false
% 38.68/6.00  | | | | | | | | | | | | | | | | | 
% 38.68/6.00  | | | | | | | | | | | | | | | | | CLOSE: (611) is inconsistent.
% 38.68/6.00  | | | | | | | | | | | | | | | | | 
% 38.68/6.00  | | | | | | | | | | | | | | | | Case 2:
% 38.68/6.00  | | | | | | | | | | | | | | | | | 
% 38.68/6.00  | | | | | | | | | | | | | | | | | 
% 38.68/6.00  | | | | | | | | | | | | | | | | | DELTA: instantiating (609) with fresh symbols all_188_0,
% 38.68/6.00  | | | | | | | | | | | | | | | | |        all_188_1, all_188_2, all_188_3 gives:
% 38.68/6.00  | | | | | | | | | | | | | | | | |   (612)  sdtasdt0(xq, xl) = all_188_1 & sdtasdt0(xp, xl) =
% 38.68/6.00  | | | | | | | | | | | | | | | | |          all_188_0 & aNaturalNumber0(xq) = all_188_3 &
% 38.68/6.00  | | | | | | | | | | | | | | | | |          aNaturalNumber0(xp) = all_188_2 & $i(all_188_0) &
% 38.68/6.00  | | | | | | | | | | | | | | | | |          $i(all_188_1) & ( ~ (all_188_2 = 0) |  ~
% 38.68/6.00  | | | | | | | | | | | | | | | | |            (all_188_3 = 0) | ( ~ (all_188_0 = all_188_1) & 
% 38.68/6.00  | | | | | | | | | | | | | | | | |              ~ (all_33_0 = xm)))
% 38.68/6.00  | | | | | | | | | | | | | | | | | 
% 38.68/6.00  | | | | | | | | | | | | | | | | | ALPHA: (612) implies:
% 38.68/6.00  | | | | | | | | | | | | | | | | |   (613)  aNaturalNumber0(xp) = all_188_2
% 38.68/6.00  | | | | | | | | | | | | | | | | |   (614)  aNaturalNumber0(xq) = all_188_3
% 38.68/6.00  | | | | | | | | | | | | | | | | | 
% 38.68/6.00  | | | | | | | | | | | | | | | | | BETA: splitting (122) gives:
% 38.68/6.00  | | | | | | | | | | | | | | | | | 
% 38.68/6.00  | | | | | | | | | | | | | | | | | Case 1:
% 38.68/6.00  | | | | | | | | | | | | | | | | | | 
% 38.68/6.00  | | | | | | | | | | | | | | | | | |   (615)  xq = xp
% 38.68/6.00  | | | | | | | | | | | | | | | | | | 
% 38.68/6.00  | | | | | | | | | | | | | | | | | | REDUCE: (250), (615) imply:
% 38.68/6.00  | | | | | | | | | | | | | | | | | |   (616)  $false
% 38.68/6.00  | | | | | | | | | | | | | | | | | | 
% 38.68/6.00  | | | | | | | | | | | | | | | | | | CLOSE: (616) is inconsistent.
% 38.68/6.00  | | | | | | | | | | | | | | | | | | 
% 38.68/6.00  | | | | | | | | | | | | | | | | | Case 2:
% 38.68/6.00  | | | | | | | | | | | | | | | | | | 
% 38.68/6.00  | | | | | | | | | | | | | | | | | |   (617)   ? [v0: any] :  ? [v1: any] :  ? [v2: $i] :  ?
% 38.68/6.00  | | | | | | | | | | | | | | | | | |          [v3: $i] : (sdtasdt0(xq, xl) = v3 & sdtasdt0(xp,
% 38.68/6.00  | | | | | | | | | | | | | | | | | |              xl) = v2 & aNaturalNumber0(xq) = v1 &
% 38.68/6.00  | | | | | | | | | | | | | | | | | |            aNaturalNumber0(xp) = v0 & $i(v3) & $i(v2) & ( ~
% 38.68/6.00  | | | | | | | | | | | | | | | | | |              (v1 = 0) |  ~ (v0 = 0) | ( ~ (v3 = v2) &  ~
% 38.68/6.00  | | | | | | | | | | | | | | | | | |                (all_33_0 = xm))))
% 38.68/6.00  | | | | | | | | | | | | | | | | | | 
% 38.68/6.00  | | | | | | | | | | | | | | | | | | DELTA: instantiating (617) with fresh symbols all_198_0,
% 38.68/6.00  | | | | | | | | | | | | | | | | | |        all_198_1, all_198_2, all_198_3 gives:
% 38.68/6.00  | | | | | | | | | | | | | | | | | |   (618)  sdtasdt0(xq, xl) = all_198_0 & sdtasdt0(xp, xl) =
% 38.68/6.00  | | | | | | | | | | | | | | | | | |          all_198_1 & aNaturalNumber0(xq) = all_198_2 &
% 38.68/6.00  | | | | | | | | | | | | | | | | | |          aNaturalNumber0(xp) = all_198_3 & $i(all_198_0) &
% 38.68/6.00  | | | | | | | | | | | | | | | | | |          $i(all_198_1) & ( ~ (all_198_2 = 0) |  ~
% 38.68/6.00  | | | | | | | | | | | | | | | | | |            (all_198_3 = 0) | ( ~ (all_198_0 = all_198_1) & 
% 38.68/6.00  | | | | | | | | | | | | | | | | | |              ~ (all_33_0 = xm)))
% 38.68/6.00  | | | | | | | | | | | | | | | | | | 
% 38.68/6.00  | | | | | | | | | | | | | | | | | | ALPHA: (618) implies:
% 38.68/6.00  | | | | | | | | | | | | | | | | | |   (619)  aNaturalNumber0(xp) = all_198_3
% 38.68/6.00  | | | | | | | | | | | | | | | | | |   (620)  aNaturalNumber0(xq) = all_198_2
% 38.68/6.00  | | | | | | | | | | | | | | | | | | 
% 38.68/6.00  | | | | | | | | | | | | | | | | | | BETA: splitting (126) gives:
% 38.68/6.00  | | | | | | | | | | | | | | | | | | 
% 38.68/6.00  | | | | | | | | | | | | | | | | | | Case 1:
% 38.68/6.00  | | | | | | | | | | | | | | | | | | | 
% 38.68/6.00  | | | | | | | | | | | | | | | | | | |   (621)  all_44_0 = xp
% 38.68/6.00  | | | | | | | | | | | | | | | | | | | 
% 38.68/6.00  | | | | | | | | | | | | | | | | | | | REDUCE: (601), (621) imply:
% 38.68/6.00  | | | | | | | | | | | | | | | | | | |   (622)  $false
% 38.68/6.00  | | | | | | | | | | | | | | | | | | | 
% 38.68/6.00  | | | | | | | | | | | | | | | | | | | CLOSE: (622) is inconsistent.
% 38.68/6.00  | | | | | | | | | | | | | | | | | | | 
% 38.68/6.00  | | | | | | | | | | | | | | | | | | Case 2:
% 38.68/6.00  | | | | | | | | | | | | | | | | | | | 
% 38.68/6.00  | | | | | | | | | | | | | | | | | | |   (623)   ? [v0: any] :  ? [v1: any] :  ? [v2: $i] :  ?
% 38.68/6.00  | | | | | | | | | | | | | | | | | | |          [v3: $i] : (sdtasdt0(all_44_0, xl) = v3 &
% 38.68/6.00  | | | | | | | | | | | | | | | | | | |            sdtasdt0(xp, xl) = v2 &
% 38.68/6.00  | | | | | | | | | | | | | | | | | | |            aNaturalNumber0(all_44_0) = v1 &
% 38.68/6.00  | | | | | | | | | | | | | | | | | | |            aNaturalNumber0(xp) = v0 & $i(v3) & $i(v2) & ( ~
% 38.68/6.00  | | | | | | | | | | | | | | | | | | |              (v1 = 0) |  ~ (v0 = 0)))
% 38.68/6.00  | | | | | | | | | | | | | | | | | | | 
% 38.68/6.00  | | | | | | | | | | | | | | | | | | | DELTA: instantiating (623) with fresh symbols all_204_0,
% 38.68/6.00  | | | | | | | | | | | | | | | | | | |        all_204_1, all_204_2, all_204_3 gives:
% 38.68/6.00  | | | | | | | | | | | | | | | | | | |   (624)  sdtasdt0(all_44_0, xl) = all_204_0 & sdtasdt0(xp,
% 38.68/6.00  | | | | | | | | | | | | | | | | | | |            xl) = all_204_1 & aNaturalNumber0(all_44_0) =
% 38.68/6.00  | | | | | | | | | | | | | | | | | | |          all_204_2 & aNaturalNumber0(xp) = all_204_3 &
% 38.68/6.00  | | | | | | | | | | | | | | | | | | |          $i(all_204_0) & $i(all_204_1) & ( ~ (all_204_2 =
% 38.68/6.00  | | | | | | | | | | | | | | | | | | |              0) |  ~ (all_204_3 = 0))
% 38.68/6.00  | | | | | | | | | | | | | | | | | | | 
% 38.68/6.00  | | | | | | | | | | | | | | | | | | | ALPHA: (624) implies:
% 38.68/6.00  | | | | | | | | | | | | | | | | | | |   (625)  aNaturalNumber0(xp) = all_204_3
% 38.68/6.00  | | | | | | | | | | | | | | | | | | |   (626)  aNaturalNumber0(all_44_0) = all_204_2
% 38.68/6.00  | | | | | | | | | | | | | | | | | | | 
% 38.68/6.00  | | | | | | | | | | | | | | | | | | | BETA: splitting (131) gives:
% 38.68/6.00  | | | | | | | | | | | | | | | | | | | 
% 38.68/6.00  | | | | | | | | | | | | | | | | | | | Case 1:
% 38.68/6.00  | | | | | | | | | | | | | | | | | | | | 
% 38.68/6.00  | | | | | | | | | | | | | | | | | | | |   (627)  all_46_0 = xq
% 38.68/6.00  | | | | | | | | | | | | | | | | | | | | 
% 38.68/6.00  | | | | | | | | | | | | | | | | | | | | BETA: splitting (132) gives:
% 38.68/6.00  | | | | | | | | | | | | | | | | | | | | 
% 38.68/6.00  | | | | | | | | | | | | | | | | | | | | Case 1:
% 38.68/6.00  | | | | | | | | | | | | | | | | | | | | | 
% 38.68/6.00  | | | | | | | | | | | | | | | | | | | | |   (628)  all_46_0 = xp
% 38.68/6.00  | | | | | | | | | | | | | | | | | | | | | 
% 38.68/6.00  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (627), (628) imply:
% 38.68/6.00  | | | | | | | | | | | | | | | | | | | | |   (629)  xq = xp
% 38.68/6.00  | | | | | | | | | | | | | | | | | | | | | 
% 38.68/6.00  | | | | | | | | | | | | | | | | | | | | | REDUCE: (250), (629) imply:
% 38.68/6.00  | | | | | | | | | | | | | | | | | | | | |   (630)  $false
% 38.68/6.00  | | | | | | | | | | | | | | | | | | | | | 
% 38.68/6.00  | | | | | | | | | | | | | | | | | | | | | CLOSE: (630) is inconsistent.
% 38.68/6.00  | | | | | | | | | | | | | | | | | | | | | 
% 38.68/6.00  | | | | | | | | | | | | | | | | | | | | Case 2:
% 38.68/6.00  | | | | | | | | | | | | | | | | | | | | | 
% 38.68/6.00  | | | | | | | | | | | | | | | | | | | | |   (631)   ~ (all_46_0 = xp)
% 38.68/6.00  | | | | | | | | | | | | | | | | | | | | |   (632)   ? [v0: any] :  ? [v1: any] :  ? [v2: $i] :  ?
% 38.68/6.00  | | | | | | | | | | | | | | | | | | | | |          [v3: $i] : (sdtasdt0(all_46_0, xl) = v3 &
% 38.68/6.00  | | | | | | | | | | | | | | | | | | | | |            sdtasdt0(xp, xl) = v2 &
% 38.68/6.00  | | | | | | | | | | | | | | | | | | | | |            aNaturalNumber0(all_46_0) = v1 &
% 38.68/6.00  | | | | | | | | | | | | | | | | | | | | |            aNaturalNumber0(xp) = v0 & $i(v3) & $i(v2) & ( ~
% 38.68/6.00  | | | | | | | | | | | | | | | | | | | | |              (v1 = 0) |  ~ (v0 = 0) | ( ~ (v3 = v2) &  ~
% 38.68/6.00  | | | | | | | | | | | | | | | | | | | | |                (all_33_0 = xm))))
% 38.68/6.00  | | | | | | | | | | | | | | | | | | | | | 
% 38.68/6.00  | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (632) with fresh symbols all_218_0,
% 38.68/6.00  | | | | | | | | | | | | | | | | | | | | |        all_218_1, all_218_2, all_218_3 gives:
% 38.68/6.00  | | | | | | | | | | | | | | | | | | | | |   (633)  sdtasdt0(all_46_0, xl) = all_218_0 & sdtasdt0(xp,
% 38.68/6.00  | | | | | | | | | | | | | | | | | | | | |            xl) = all_218_1 & aNaturalNumber0(all_46_0) =
% 38.68/6.00  | | | | | | | | | | | | | | | | | | | | |          all_218_2 & aNaturalNumber0(xp) = all_218_3 &
% 38.68/6.00  | | | | | | | | | | | | | | | | | | | | |          $i(all_218_0) & $i(all_218_1) & ( ~ (all_218_2 =
% 38.68/6.00  | | | | | | | | | | | | | | | | | | | | |              0) |  ~ (all_218_3 = 0) | ( ~ (all_218_0 =
% 38.68/6.00  | | | | | | | | | | | | | | | | | | | | |                all_218_1) &  ~ (all_33_0 = xm)))
% 38.68/6.00  | | | | | | | | | | | | | | | | | | | | | 
% 38.68/6.00  | | | | | | | | | | | | | | | | | | | | | ALPHA: (633) implies:
% 38.68/6.00  | | | | | | | | | | | | | | | | | | | | |   (634)  aNaturalNumber0(xp) = all_218_3
% 38.68/6.00  | | | | | | | | | | | | | | | | | | | | | 
% 38.68/6.00  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (133) gives:
% 38.68/6.00  | | | | | | | | | | | | | | | | | | | | | 
% 38.68/6.00  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 38.68/6.00  | | | | | | | | | | | | | | | | | | | | | | 
% 38.68/6.00  | | | | | | | | | | | | | | | | | | | | | |   (635)  all_46_0 = xp
% 38.68/6.00  | | | | | | | | | | | | | | | | | | | | | | 
% 38.68/6.00  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (627), (635) imply:
% 38.68/6.00  | | | | | | | | | | | | | | | | | | | | | |   (636)  xq = xp
% 38.68/6.00  | | | | | | | | | | | | | | | | | | | | | | 
% 38.68/6.00  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (250), (636) imply:
% 38.68/6.00  | | | | | | | | | | | | | | | | | | | | | |   (637)  $false
% 38.68/6.00  | | | | | | | | | | | | | | | | | | | | | | 
% 38.68/6.00  | | | | | | | | | | | | | | | | | | | | | | CLOSE: (637) is inconsistent.
% 38.68/6.00  | | | | | | | | | | | | | | | | | | | | | | 
% 38.68/6.00  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 38.68/6.00  | | | | | | | | | | | | | | | | | | | | | | 
% 38.68/6.00  | | | | | | | | | | | | | | | | | | | | | |   (638)   ? [v0: any] :  ? [v1: any] :  ? [v2: $i] :  ?
% 38.68/6.00  | | | | | | | | | | | | | | | | | | | | | |          [v3: $i] : (sdtasdt0(all_46_0, xl) = v2 &
% 38.68/6.00  | | | | | | | | | | | | | | | | | | | | | |            sdtasdt0(xp, xl) = v3 &
% 38.68/6.00  | | | | | | | | | | | | | | | | | | | | | |            aNaturalNumber0(all_46_0) = v0 &
% 38.68/6.00  | | | | | | | | | | | | | | | | | | | | | |            aNaturalNumber0(xp) = v1 & $i(v3) & $i(v2) & ( ~
% 38.68/6.00  | | | | | | | | | | | | | | | | | | | | | |              (v1 = 0) |  ~ (v0 = 0) | ( ~ (v3 = v2) &  ~
% 38.68/6.00  | | | | | | | | | | | | | | | | | | | | | |                (all_33_0 = xm))))
% 38.68/6.00  | | | | | | | | | | | | | | | | | | | | | | 
% 38.68/6.00  | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (638) with fresh symbols all_224_0,
% 38.68/6.00  | | | | | | | | | | | | | | | | | | | | | |        all_224_1, all_224_2, all_224_3 gives:
% 38.68/6.00  | | | | | | | | | | | | | | | | | | | | | |   (639)  sdtasdt0(all_46_0, xl) = all_224_1 & sdtasdt0(xp,
% 38.68/6.00  | | | | | | | | | | | | | | | | | | | | | |            xl) = all_224_0 & aNaturalNumber0(all_46_0) =
% 38.68/6.00  | | | | | | | | | | | | | | | | | | | | | |          all_224_3 & aNaturalNumber0(xp) = all_224_2 &
% 38.68/6.00  | | | | | | | | | | | | | | | | | | | | | |          $i(all_224_0) & $i(all_224_1) & ( ~ (all_224_2 =
% 38.68/6.00  | | | | | | | | | | | | | | | | | | | | | |              0) |  ~ (all_224_3 = 0) | ( ~ (all_224_0 =
% 38.68/6.00  | | | | | | | | | | | | | | | | | | | | | |                all_224_1) &  ~ (all_33_0 = xm)))
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | | 
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (639) implies:
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | |   (640)  aNaturalNumber0(xp) = all_224_2
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | | 
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with 0, all_198_3, xp,
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | |              simplifying with (9), (619) gives:
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | |   (641)  all_198_3 = 0
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | | 
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with all_198_3, all_218_3, xp,
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | |              simplifying with (619), (634) gives:
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | |   (642)  all_218_3 = all_198_3
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | | 
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with all_188_2, all_218_3, xp,
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | |              simplifying with (613), (634) gives:
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | |   (643)  all_218_3 = all_188_2
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | | 
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with all_178_2, all_218_3, xp,
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | |              simplifying with (604), (634) gives:
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | |   (644)  all_218_3 = all_178_2
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | | 
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with all_218_3, all_224_2, xp,
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | |              simplifying with (634), (640) gives:
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | |   (645)  all_224_2 = all_218_3
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | | 
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with all_204_3, all_224_2, xp,
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | |              simplifying with (625), (640) gives:
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | |   (646)  all_224_2 = all_204_3
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | | 
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with 0, all_204_2, all_44_0,
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | |              simplifying with (48), (626) gives:
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | |   (647)  all_204_2 = 0
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | | 
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with all_178_3, all_204_2,
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | |              all_44_0, simplifying with (605), (626) gives:
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | |   (648)  all_204_2 = all_178_3
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | | 
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (645), (646) imply:
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | |   (649)  all_218_3 = all_204_3
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | | 
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | | SIMP: (649) implies:
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | |   (650)  all_218_3 = all_204_3
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | | 
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (644), (650) imply:
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | |   (651)  all_204_3 = all_178_2
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | | 
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (643), (650) imply:
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | |   (652)  all_204_3 = all_188_2
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | | 
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (642), (650) imply:
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | |   (653)  all_204_3 = all_198_3
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | | 
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (647), (648) imply:
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | |   (654)  all_178_3 = 0
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | | 
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (651), (652) imply:
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | |   (655)  all_188_2 = all_178_2
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | | 
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (652), (653) imply:
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | |   (656)  all_198_3 = all_188_2
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | | 
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | | SIMP: (656) implies:
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | |   (657)  all_198_3 = all_188_2
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | | 
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (641), (657) imply:
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | |   (658)  all_188_2 = 0
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | | 
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | | SIMP: (658) implies:
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | |   (659)  all_188_2 = 0
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | | 
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (655), (659) imply:
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | |   (660)  all_178_2 = 0
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | | 
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (606) gives:
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | | 
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | | | 
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | | |   (661)   ~ (all_178_2 = 0)
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | | | 
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (660), (661) imply:
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | | |   (662)  $false
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | | | 
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (662) is inconsistent.
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | | | 
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | | | 
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | | |   (663)   ~ (all_178_3 = 0)
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | | | 
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (654), (663) imply:
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | | |   (664)  $false
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | | | 
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (664) is inconsistent.
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | | | 
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | | End of split
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | | 
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | End of split
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | 
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | End of split
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | 
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | Case 2:
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | 
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | |   (665)   ~ (all_46_0 = xq)
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | |   (666)   ? [v0: any] :  ? [v1: any] :  ? [v2: $i] :  ?
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | |          [v3: $i] : (sdtasdt0(all_46_0, xl) = v2 &
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | |            sdtasdt0(xq, xl) = v3 &
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | |            aNaturalNumber0(all_46_0) = v0 &
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | |            aNaturalNumber0(xq) = v1 & $i(v3) & $i(v2) & ( ~
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | |              (v1 = 0) |  ~ (v0 = 0)))
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | 
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (666) with fresh symbols all_214_0,
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | |        all_214_1, all_214_2, all_214_3 gives:
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | |   (667)  sdtasdt0(all_46_0, xl) = all_214_1 & sdtasdt0(xq,
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | |            xl) = all_214_0 & aNaturalNumber0(all_46_0) =
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | |          all_214_3 & aNaturalNumber0(xq) = all_214_2 &
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | |          $i(all_214_0) & $i(all_214_1) & ( ~ (all_214_2 =
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | |              0) |  ~ (all_214_3 = 0))
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | 
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | ALPHA: (667) implies:
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | |   (668)  aNaturalNumber0(xq) = all_214_2
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | |   (669)  aNaturalNumber0(all_46_0) = all_214_3
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | 
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | BETA: splitting (130) gives:
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | 
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | Case 1:
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | 
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | |   (670)  all_46_0 = xq
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | 
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | REDUCE: (665), (670) imply:
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | |   (671)  $false
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | 
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | CLOSE: (671) is inconsistent.
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | 
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | Case 2:
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | 
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | |   (672)   ? [v0: any] :  ? [v1: any] :  ? [v2: $i] :  ?
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | |          [v3: $i] : (sdtasdt0(all_46_0, xl) = v3 &
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | |            sdtasdt0(xq, xl) = v2 &
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | |            aNaturalNumber0(all_46_0) = v1 &
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | |            aNaturalNumber0(xq) = v0 & $i(v3) & $i(v2) & ( ~
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | |              (v1 = 0) |  ~ (v0 = 0)))
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | 
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (672) with fresh symbols all_220_0,
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | |        all_220_1, all_220_2, all_220_3 gives:
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | |   (673)  sdtasdt0(all_46_0, xl) = all_220_0 & sdtasdt0(xq,
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | |            xl) = all_220_1 & aNaturalNumber0(all_46_0) =
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | |          all_220_2 & aNaturalNumber0(xq) = all_220_3 &
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | |          $i(all_220_0) & $i(all_220_1) & ( ~ (all_220_2 =
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | |              0) |  ~ (all_220_3 = 0))
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | 
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | ALPHA: (673) implies:
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | |   (674)  aNaturalNumber0(xq) = all_220_3
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | |   (675)  aNaturalNumber0(all_46_0) = all_220_2
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | |   (676)   ~ (all_220_2 = 0) |  ~ (all_220_3 = 0)
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | 
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with 0, all_214_2, xq,
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | |              simplifying with (26), (668) gives:
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | |   (677)  all_214_2 = 0
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | 
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with all_188_3, all_214_2, xq,
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | |              simplifying with (614), (668) gives:
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | |   (678)  all_214_2 = all_188_3
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | 
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with all_214_2, all_220_3, xq,
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | |              simplifying with (668), (674) gives:
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | |   (679)  all_220_3 = all_214_2
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | 
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with all_198_2, all_220_3, xq,
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | |              simplifying with (620), (674) gives:
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | |   (680)  all_220_3 = all_198_2
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | 
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with 0, all_220_2, all_46_0,
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | |              simplifying with (52), (675) gives:
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | |   (681)  all_220_2 = 0
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | 
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with all_214_3, all_220_2,
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | |              all_46_0, simplifying with (669), (675) gives:
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | |   (682)  all_220_2 = all_214_3
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | 
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (681), (682) imply:
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | |   (683)  all_214_3 = 0
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | 
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (679), (680) imply:
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | |   (684)  all_214_2 = all_198_2
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | 
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | SIMP: (684) implies:
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | |   (685)  all_214_2 = all_198_2
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | 
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (677), (685) imply:
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | |   (686)  all_198_2 = 0
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | 
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (678), (685) imply:
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | |   (687)  all_198_2 = all_188_3
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | 
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (686), (687) imply:
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | |   (688)  all_188_3 = 0
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | 
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (680), (686) imply:
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | |   (689)  all_220_3 = 0
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | 
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (676) gives:
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | 
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | | 
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | |   (690)   ~ (all_220_2 = 0)
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | | 
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (681), (690) imply:
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | |   (691)  $false
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | | 
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | | CLOSE: (691) is inconsistent.
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | | 
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | | 
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | |   (692)   ~ (all_220_3 = 0)
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | | 
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (689), (692) imply:
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | |   (693)  $false
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | | 
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | | CLOSE: (693) is inconsistent.
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | | 
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | End of split
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | | 
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | End of split
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | | 
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | End of split
% 38.68/6.01  | | | | | | | | | | | | | | | | | | | 
% 38.68/6.01  | | | | | | | | | | | | | | | | | | End of split
% 38.68/6.01  | | | | | | | | | | | | | | | | | | 
% 38.68/6.01  | | | | | | | | | | | | | | | | | End of split
% 38.68/6.01  | | | | | | | | | | | | | | | | | 
% 38.68/6.01  | | | | | | | | | | | | | | | | End of split
% 38.68/6.01  | | | | | | | | | | | | | | | | 
% 38.68/6.01  | | | | | | | | | | | | | | | End of split
% 38.68/6.01  | | | | | | | | | | | | | | | 
% 38.68/6.01  | | | | | | | | | | | | | | End of split
% 38.68/6.01  | | | | | | | | | | | | | | 
% 38.68/6.01  | | | | | | | | | | | | | End of split
% 38.68/6.01  | | | | | | | | | | | | | 
% 38.68/6.01  | | | | | | | | | | | | End of split
% 38.68/6.01  | | | | | | | | | | | | 
% 38.68/6.01  | | | | | | | | | | | End of split
% 38.68/6.01  | | | | | | | | | | | 
% 38.68/6.01  | | | | | | | | | | End of split
% 38.68/6.01  | | | | | | | | | | 
% 38.68/6.01  | | | | | | | | | End of split
% 38.68/6.01  | | | | | | | | | 
% 38.68/6.01  | | | | | | | | End of split
% 38.68/6.01  | | | | | | | | 
% 38.68/6.01  | | | | | | | End of split
% 38.68/6.01  | | | | | | | 
% 38.68/6.01  | | | | | | End of split
% 38.68/6.01  | | | | | | 
% 38.68/6.01  | | | | | End of split
% 38.68/6.01  | | | | | 
% 38.68/6.01  | | | | End of split
% 38.68/6.01  | | | | 
% 38.68/6.01  | | | End of split
% 38.68/6.01  | | | 
% 38.68/6.01  | | End of split
% 38.68/6.01  | | 
% 38.68/6.01  | End of split
% 38.68/6.01  | 
% 38.68/6.01  End of proof
% 38.68/6.01  % SZS output end Proof for theBenchmark
% 38.68/6.01  
% 38.68/6.01  5409ms
%------------------------------------------------------------------------------