%------------------------------------------------------------------------------
% File     : Princess---230619
% Problem  : PUZ133+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp
% Command  : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s

% Computer : n023.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Aug 31 13:23:14 EDT 2023

% Result   : Theorem 185.84s 25.12s
% Output   : Proof 187.31s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : PUZ133+1 : TPTP v8.1.2. Released v4.1.0.
% 0.07/0.13  % Command  : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.12/0.34  % Computer : n023.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 : Sat Aug 26 22:36:26 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.49/0.62  ________       _____
% 0.49/0.62  ___  __ \_________(_)________________________________
% 0.49/0.62  __  /_/ /_  ___/_  /__  __ \  ___/  _ \_  ___/_  ___/
% 0.49/0.62  _  ____/_  /   _  / _  / / / /__ /  __/(__  )_(__  )
% 0.49/0.62  /_/     /_/    /_/  /_/ /_/\___/ \___//____/ /____/
% 0.49/0.62  
% 0.49/0.62  A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.49/0.62  (2023-06-19)
% 0.49/0.62  
% 0.49/0.62  (c) Philipp Rümmer, 2009-2023
% 0.49/0.62  Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.49/0.62                Amanda Stjerna.
% 0.49/0.62  Free software under BSD-3-Clause.
% 0.49/0.62  
% 0.49/0.62  For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.49/0.62  
% 0.49/0.62  Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.49/0.63  Running up to 7 provers in parallel.
% 0.69/0.64  Prover 0: Options:  +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.69/0.64  Prover 2: Options:  +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.69/0.64  Prover 1: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.69/0.64  Prover 4: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.69/0.64  Prover 3: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.69/0.64  Prover 5: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.69/0.64  Prover 6: Options:  -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 2.31/0.99  Prover 4: Preprocessing ...
% 2.31/1.00  Prover 1: Preprocessing ...
% 2.31/1.04  Prover 0: Preprocessing ...
% 2.31/1.04  Prover 2: Preprocessing ...
% 2.31/1.04  Prover 5: Preprocessing ...
% 2.31/1.04  Prover 3: Preprocessing ...
% 2.31/1.04  Prover 6: Preprocessing ...
% 4.93/1.33  Prover 3: Constructing countermodel ...
% 4.93/1.33  Prover 1: Constructing countermodel ...
% 4.93/1.36  Prover 6: Proving ...
% 5.16/1.39  Prover 4: Constructing countermodel ...
% 5.16/1.41  Prover 0: Proving ...
% 5.64/1.43  Prover 2: Proving ...
% 5.64/1.44  Prover 5: Proving ...
% 74.61/10.27  Prover 2: stopped
% 74.61/10.27  Prover 7: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 74.99/10.31  Prover 7: Preprocessing ...
% 76.34/10.46  Prover 7: Constructing countermodel ...
% 103.71/13.97  Prover 5: stopped
% 103.71/13.97  Prover 8: Options:  +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 103.71/14.01  Prover 8: Preprocessing ...
% 104.49/14.06  Prover 8: Warning: ignoring some quantifiers
% 104.49/14.06  Prover 8: Constructing countermodel ...
% 118.89/15.99  Prover 1: stopped
% 118.89/15.99  Prover 9: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1423531889
% 118.89/16.00  Prover 9: Preprocessing ...
% 119.52/16.08  Prover 9: Constructing countermodel ...
% 133.27/17.89  Prover 6: stopped
% 133.27/17.89  Prover 10: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 133.27/17.92  Prover 10: Preprocessing ...
% 133.27/17.96  Prover 10: Constructing countermodel ...
% 134.55/18.05  Prover 10: gave up
% 134.55/18.06  Prover 11: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 134.55/18.07  Prover 11: Preprocessing ...
% 135.18/18.12  Prover 11: Constructing countermodel ...
% 185.84/25.11  Prover 4: Found proof (size 490)
% 185.84/25.11  Prover 4: proved (24468ms)
% 185.84/25.11  Prover 9: stopped
% 185.84/25.11  Prover 0: stopped
% 185.84/25.11  Prover 11: stopped
% 185.84/25.11  Prover 7: stopped
% 185.84/25.11  Prover 3: stopped
% 185.84/25.11  Prover 8: stopped
% 185.84/25.12  
% 185.84/25.12  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 185.84/25.12  
% 185.84/25.16  % SZS output start Proof for theBenchmark
% 186.21/25.16  Assumptions after simplification:
% 186.21/25.16  ---------------------------------
% 186.21/25.16  
% 186.21/25.16    (le_trans)
% 186.28/25.19     ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: int] : (v3 = 0 |  ~ (le(v1,
% 186.28/25.19          v2) = 0) |  ~ (le(v0, v2) = v3) |  ~ $i(v2) |  ~ $i(v1) |  ~ $i(v0) |  ?
% 186.28/25.19      [v4: int] : ( ~ (v4 = 0) & le(v0, v1) = v4)) &  ! [v0: $i] :  ! [v1: $i] : 
% 186.28/25.19    ! [v2: $i] :  ! [v3: int] : (v3 = 0 |  ~ (le(v0, v2) = v3) |  ~ (le(v0, v1) =
% 186.28/25.19        0) |  ~ $i(v2) |  ~ $i(v1) |  ~ $i(v0) |  ? [v4: int] : ( ~ (v4 = 0) &
% 186.28/25.19        le(v1, v2) = v4)) &  ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] : ( ~ (le(v1,
% 186.28/25.19          v2) = 0) |  ~ (le(v0, v1) = 0) |  ~ $i(v2) |  ~ $i(v1) |  ~ $i(v0) |
% 186.28/25.19      le(v0, v2) = 0)
% 186.28/25.19  
% 186.28/25.19    (minus1)
% 186.28/25.20     ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] :  ! [v4: $i] :  ! [v5:
% 186.28/25.20      $i] : (v5 = v4 |  ~ (minus(v2, v3) = v5) |  ~ (minus(v0, v1) = v4) |  ~
% 186.28/25.20      $i(v3) |  ~ $i(v2) |  ~ $i(v1) |  ~ $i(v0) |  ? [v6: $i] :  ? [v7: $i] : ( ~
% 186.28/25.20        (v7 = v6) & minus(v1, v3) = v7 & minus(v0, v2) = v6 & $i(v7) & $i(v6))) & 
% 186.28/25.20    ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] :  ! [v4: $i] :  ! [v5:
% 186.28/25.20      $i] : (v5 = v4 |  ~ (minus(v1, v3) = v5) |  ~ (minus(v0, v2) = v4) |  ~
% 186.28/25.20      $i(v3) |  ~ $i(v2) |  ~ $i(v1) |  ~ $i(v0) |  ? [v6: $i] :  ? [v7: $i] : ( ~
% 186.28/25.20        (v7 = v6) & minus(v2, v3) = v7 & minus(v0, v1) = v6 & $i(v7) & $i(v6))) & 
% 186.28/25.20    ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] :  ! [v4: $i] : ( ~
% 186.28/25.20      (minus(v2, v3) = v4) |  ~ (minus(v0, v1) = v4) |  ~ $i(v3) |  ~ $i(v2) |  ~
% 186.28/25.20      $i(v1) |  ~ $i(v0) |  ? [v5: $i] : (minus(v1, v3) = v5 & minus(v0, v2) = v5
% 186.28/25.20        & $i(v5))) &  ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] :  !
% 186.28/25.20    [v4: $i] : ( ~ (minus(v1, v3) = v4) |  ~ (minus(v0, v2) = v4) |  ~ $i(v3) |  ~
% 186.28/25.20      $i(v2) |  ~ $i(v1) |  ~ $i(v0) |  ? [v5: $i] : (minus(v2, v3) = v5 &
% 186.28/25.20        minus(v0, v1) = v5 & $i(v5)))
% 186.28/25.20  
% 186.28/25.20    (permutation)
% 186.28/25.20    $i(n) &  ? [v0: $i] : (s(n) = v0 & $i(v0) &  ! [v1: $i] :  ! [v2: $i] : ( ~
% 186.28/25.20        (perm(v1) = v2) |  ~ $i(v1) | (minus(v0, v1) = v2 & $i(v2))) &  ! [v1: $i]
% 186.28/25.20      :  ! [v2: $i] : ( ~ (minus(v0, v1) = v2) |  ~ $i(v1) | (perm(v1) = v2 &
% 186.28/25.20          $i(v2))))
% 186.28/25.20  
% 186.28/25.20    (permutation_another_one)
% 186.28/25.21     ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] :  ! [v4: $i] : ( ~
% 186.28/25.21      (perm(v1) = v3) |  ~ (perm(v0) = v2) |  ~ (minus(v2, v3) = v4) |  ~ $i(v1) |
% 186.28/25.21       ~ $i(v0) | (minus(v1, v0) = v4 & $i(v4))) &  ! [v0: $i] :  ! [v1: $i] :  !
% 186.28/25.21    [v2: $i] : ( ~ (minus(v1, v0) = v2) |  ~ $i(v1) |  ~ $i(v0) |  ? [v3: $i] :  ?
% 186.28/25.21      [v4: $i] : (perm(v1) = v4 & perm(v0) = v3 & minus(v3, v4) = v2 & $i(v4) &
% 186.28/25.21        $i(v3) & $i(v2)))
% 186.28/25.21  
% 186.28/25.21    (permutation_range)
% 186.28/25.21    $i(n) & $i(n0) &  ? [v0: $i] : (s(n0) = v0 & $i(v0) &  ! [v1: $i] :  ! [v2:
% 186.28/25.21        $i] : ( ~ (perm(v1) = v2) |  ~ $i(v1) |  ? [v3: any] :  ? [v4: any] :  ?
% 186.28/25.21        [v5: any] :  ? [v6: any] : (le(v2, n) = v6 & le(v1, n) = v4 & le(v0, v2) =
% 186.28/25.21          v5 & le(v0, v1) = v3 & ( ~ (v4 = 0) |  ~ (v3 = 0) | (v6 = 0 & v5 = 0))))
% 186.28/25.21      &  ! [v1: $i] : ( ~ (le(v1, n) = 0) |  ~ $i(v1) |  ? [v2: any] :  ? [v3: $i]
% 186.28/25.21        :  ? [v4: any] :  ? [v5: any] : (perm(v1) = v3 & le(v3, n) = v5 & le(v0,
% 186.28/25.21            v3) = v4 & le(v0, v1) = v2 & $i(v3) & ( ~ (v2 = 0) | (v5 = 0 & v4 =
% 186.28/25.21              0)))) &  ! [v1: $i] : ( ~ (le(v0, v1) = 0) |  ~ $i(v1) |  ? [v2:
% 186.28/25.21          any] :  ? [v3: $i] :  ? [v4: any] :  ? [v5: any] : (perm(v1) = v3 &
% 186.28/25.21          le(v3, n) = v5 & le(v1, n) = v2 & le(v0, v3) = v4 & $i(v3) & ( ~ (v2 =
% 186.28/25.21              0) | (v5 = 0 & v4 = 0)))))
% 186.28/25.21  
% 186.28/25.21    (plus1)
% 186.45/25.22     ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] :  ! [v4: $i] :  ! [v5:
% 186.45/25.22      $i] : (v5 = v4 |  ~ (plus(v2, v3) = v5) |  ~ (plus(v0, v1) = v4) |  ~ $i(v3)
% 186.45/25.22      |  ~ $i(v2) |  ~ $i(v1) |  ~ $i(v0) |  ? [v6: $i] :  ? [v7: $i] : ( ~ (v7 =
% 186.45/25.22          v6) & minus(v3, v1) = v7 & minus(v0, v2) = v6 & $i(v7) & $i(v6))) &  !
% 186.45/25.22    [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] :  ! [v4: $i] :  ! [v5: $i]
% 186.45/25.22    : (v5 = v4 |  ~ (minus(v3, v1) = v5) |  ~ (minus(v0, v2) = v4) |  ~ $i(v3) | 
% 186.45/25.22      ~ $i(v2) |  ~ $i(v1) |  ~ $i(v0) |  ? [v6: $i] :  ? [v7: $i] : ( ~ (v7 = v6)
% 186.45/25.22        & plus(v2, v3) = v7 & plus(v0, v1) = v6 & $i(v7) & $i(v6))) &  ! [v0: $i]
% 186.45/25.22    :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] :  ! [v4: $i] : ( ~ (plus(v2, v3) =
% 186.45/25.22        v4) |  ~ (plus(v0, v1) = v4) |  ~ $i(v3) |  ~ $i(v2) |  ~ $i(v1) |  ~
% 186.45/25.22      $i(v0) |  ? [v5: $i] : (minus(v3, v1) = v5 & minus(v0, v2) = v5 & $i(v5))) &
% 186.45/25.22     ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] :  ! [v4: $i] : ( ~
% 186.45/25.22      (minus(v3, v1) = v4) |  ~ (minus(v0, v2) = v4) |  ~ $i(v3) |  ~ $i(v2) |  ~
% 186.45/25.22      $i(v1) |  ~ $i(v0) |  ? [v5: $i] : (plus(v2, v3) = v5 & plus(v0, v1) = v5 &
% 186.45/25.22        $i(v5)))
% 186.45/25.22  
% 186.45/25.22    (queens_p)
% 186.45/25.22    $i(n) & $i(n0) &  ? [v0: $i] : (s(n0) = v0 & $i(v0) & ( ~ queens_p |  ! [v1:
% 186.45/25.22          $i] :  ! [v2: $i] :  ! [v3: $i] : ( ~ (s(v1) = v3) |  ~ (le(v3, v2) = 0)
% 186.45/25.22          |  ~ $i(v2) |  ~ $i(v1) |  ? [v4: any] :  ? [v5: any] :  ? [v6: any] : 
% 186.45/25.22          ? [v7: $i] :  ? [v8: $i] :  ? [v9: $i] :  ? [v10: $i] :  ? [v11: $i] : 
% 186.45/25.22          ? [v12: $i] : (le(v2, n) = v6 & le(v1, n) = v5 & le(v0, v1) = v4 & p(v2)
% 186.45/25.22            = v8 & p(v1) = v7 & plus(v8, v2) = v10 & plus(v7, v1) = v9 & minus(v8,
% 186.45/25.22              v2) = v12 & minus(v7, v1) = v11 & $i(v12) & $i(v11) & $i(v10) &
% 186.45/25.22            $i(v9) & $i(v8) & $i(v7) & ( ~ (v6 = 0) |  ~ (v5 = 0) |  ~ (v4 = 0) |
% 186.45/25.22              ( ~ (v12 = v11) &  ~ (v10 = v9) &  ~ (v8 = v7)))))))
% 186.45/25.22  
% 186.45/25.22    (queens_q)
% 186.45/25.22    $i(n) & $i(n0) &  ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] :  ? [v3: int] :  ?
% 186.45/25.22    [v4: int] :  ? [v5: $i] :  ? [v6: int] :  ? [v7: int] :  ? [v8: $i] :  ? [v9:
% 186.45/25.22      $i] :  ? [v10: $i] :  ? [v11: int] :  ? [v12: $i] :  ? [v13: $i] :  ? [v14:
% 186.45/25.22      $i] :  ? [v15: $i] :  ? [v16: $i] :  ? [v17: $i] : (s(n0) = v0 & $i(v2) &
% 186.45/25.22      $i(v1) & $i(v0) & (queens_q | (v11 = 0 & v7 = 0 & v6 = 0 & v4 = 0 & v3 = 0 &
% 186.45/25.22          q(v2) = v13 & q(v1) = v12 & perm(v2) = v8 & perm(v1) = v10 & s(v8) = v9
% 186.45/25.22          & s(v1) = v5 & le(v9, v10) = 0 & le(v5, v2) = 0 & le(v2, n) = 0 & le(v1,
% 186.45/25.22            n) = 0 & le(v0, v1) = 0 & plus(v13, v2) = v15 & plus(v12, v1) = v14 &
% 186.45/25.22          minus(v13, v2) = v17 & minus(v12, v1) = v16 & $i(v17) & $i(v16) &
% 186.45/25.22          $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v10) & $i(v9) & $i(v8) &
% 186.45/25.22          $i(v5) & (v17 = v16 | v15 = v14 | v13 = v12))))
% 186.45/25.22  
% 186.45/25.22    (queens_sym)
% 186.45/25.23    queens_p &  ~ queens_q &  ! [v0: $i] :  ! [v1: $i] : ( ~ (q(v0) = v1) |  ~
% 186.45/25.23      $i(v0) |  ? [v2: $i] : (perm(v0) = v2 & p(v2) = v1 & $i(v2) & $i(v1))) &  !
% 186.45/25.23    [v0: $i] :  ! [v1: $i] : ( ~ (perm(v0) = v1) |  ~ $i(v0) |  ? [v2: $i] :
% 186.45/25.23      (q(v0) = v2 & p(v1) = v2 & $i(v2)))
% 186.45/25.23  
% 186.45/25.23    (succ_le)
% 186.45/25.23     ! [v0: $i] :  ! [v1: $i] : ( ~ (s(v0) = v1) |  ~ $i(v0) | le(v0, v1) = 0)
% 186.45/25.23  
% 186.45/25.23    (function-axioms)
% 186.45/25.23     ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] :  !
% 186.45/25.23    [v3: $i] : (v1 = v0 |  ~ (le(v3, v2) = v1) |  ~ (le(v3, v2) = v0)) &  ! [v0:
% 186.45/25.23      $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~ (plus(v3, v2)
% 186.45/25.23        = v1) |  ~ (plus(v3, v2) = v0)) &  ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i]
% 186.45/25.23    :  ! [v3: $i] : (v1 = v0 |  ~ (minus(v3, v2) = v1) |  ~ (minus(v3, v2) = v0))
% 186.45/25.23    &  ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] : (v1 = v0 |  ~ (q(v2) = v1) |  ~
% 186.45/25.23      (q(v2) = v0)) &  ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] : (v1 = v0 |  ~
% 186.45/25.23      (perm(v2) = v1) |  ~ (perm(v2) = v0)) &  ! [v0: $i] :  ! [v1: $i] :  ! [v2:
% 186.45/25.23      $i] : (v1 = v0 |  ~ (s(v2) = v1) |  ~ (s(v2) = v0)) &  ! [v0: $i] :  ! [v1:
% 186.45/25.23      $i] :  ! [v2: $i] : (v1 = v0 |  ~ (p(v2) = v1) |  ~ (p(v2) = v0))
% 186.45/25.23  
% 186.45/25.23  Those formulas are unsatisfiable:
% 186.45/25.23  ---------------------------------
% 186.45/25.23  
% 186.45/25.23  Begin of proof
% 186.45/25.23  | 
% 186.45/25.23  | ALPHA: (queens_p) implies:
% 186.45/25.23  |   (1)   ? [v0: $i] : (s(n0) = v0 & $i(v0) & ( ~ queens_p |  ! [v1: $i] :  !
% 186.45/25.23  |            [v2: $i] :  ! [v3: $i] : ( ~ (s(v1) = v3) |  ~ (le(v3, v2) = 0) | 
% 186.45/25.23  |              ~ $i(v2) |  ~ $i(v1) |  ? [v4: any] :  ? [v5: any] :  ? [v6: any]
% 186.45/25.23  |              :  ? [v7: $i] :  ? [v8: $i] :  ? [v9: $i] :  ? [v10: $i] :  ?
% 186.45/25.23  |              [v11: $i] :  ? [v12: $i] : (le(v2, n) = v6 & le(v1, n) = v5 &
% 186.45/25.23  |                le(v0, v1) = v4 & p(v2) = v8 & p(v1) = v7 & plus(v8, v2) = v10
% 186.45/25.23  |                & plus(v7, v1) = v9 & minus(v8, v2) = v12 & minus(v7, v1) = v11
% 186.45/25.23  |                & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & ( ~
% 186.45/25.23  |                  (v6 = 0) |  ~ (v5 = 0) |  ~ (v4 = 0) | ( ~ (v12 = v11) &  ~
% 186.45/25.23  |                    (v10 = v9) &  ~ (v8 = v7)))))))
% 186.45/25.23  | 
% 186.45/25.23  | ALPHA: (permutation) implies:
% 186.45/25.23  |   (2)   ? [v0: $i] : (s(n) = v0 & $i(v0) &  ! [v1: $i] :  ! [v2: $i] : ( ~
% 186.45/25.23  |            (perm(v1) = v2) |  ~ $i(v1) | (minus(v0, v1) = v2 & $i(v2))) &  !
% 186.45/25.23  |          [v1: $i] :  ! [v2: $i] : ( ~ (minus(v0, v1) = v2) |  ~ $i(v1) |
% 186.45/25.23  |            (perm(v1) = v2 & $i(v2))))
% 186.45/25.24  | 
% 186.45/25.24  | ALPHA: (queens_q) implies:
% 186.45/25.24  |   (3)   ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] :  ? [v3: int] :  ? [v4: int] :
% 186.45/25.24  |         ? [v5: $i] :  ? [v6: int] :  ? [v7: int] :  ? [v8: $i] :  ? [v9: $i] :
% 186.45/25.24  |         ? [v10: $i] :  ? [v11: int] :  ? [v12: $i] :  ? [v13: $i] :  ? [v14:
% 186.45/25.24  |          $i] :  ? [v15: $i] :  ? [v16: $i] :  ? [v17: $i] : (s(n0) = v0 &
% 186.45/25.24  |          $i(v2) & $i(v1) & $i(v0) & (queens_q | (v11 = 0 & v7 = 0 & v6 = 0 &
% 186.45/25.24  |              v4 = 0 & v3 = 0 & q(v2) = v13 & q(v1) = v12 & perm(v2) = v8 &
% 186.45/25.24  |              perm(v1) = v10 & s(v8) = v9 & s(v1) = v5 & le(v9, v10) = 0 &
% 186.45/25.24  |              le(v5, v2) = 0 & le(v2, n) = 0 & le(v1, n) = 0 & le(v0, v1) = 0 &
% 186.45/25.24  |              plus(v13, v2) = v15 & plus(v12, v1) = v14 & minus(v13, v2) = v17
% 186.45/25.24  |              & minus(v12, v1) = v16 & $i(v17) & $i(v16) & $i(v15) & $i(v14) &
% 186.45/25.24  |              $i(v13) & $i(v12) & $i(v10) & $i(v9) & $i(v8) & $i(v5) & (v17 =
% 186.45/25.24  |                v16 | v15 = v14 | v13 = v12))))
% 186.45/25.24  | 
% 186.45/25.24  | ALPHA: (permutation_range) implies:
% 186.45/25.24  |   (4)  $i(n0)
% 186.45/25.24  |   (5)  $i(n)
% 186.45/25.24  |   (6)   ? [v0: $i] : (s(n0) = v0 & $i(v0) &  ! [v1: $i] :  ! [v2: $i] : ( ~
% 186.59/25.24  |            (perm(v1) = v2) |  ~ $i(v1) |  ? [v3: any] :  ? [v4: any] :  ? [v5:
% 186.59/25.24  |              any] :  ? [v6: any] : (le(v2, n) = v6 & le(v1, n) = v4 & le(v0,
% 186.59/25.24  |                v2) = v5 & le(v0, v1) = v3 & ( ~ (v4 = 0) |  ~ (v3 = 0) | (v6 =
% 186.59/25.24  |                  0 & v5 = 0)))) &  ! [v1: $i] : ( ~ (le(v1, n) = 0) |  ~
% 186.59/25.24  |            $i(v1) |  ? [v2: any] :  ? [v3: $i] :  ? [v4: any] :  ? [v5: any] :
% 186.59/25.24  |            (perm(v1) = v3 & le(v3, n) = v5 & le(v0, v3) = v4 & le(v0, v1) = v2
% 186.59/25.24  |              & $i(v3) & ( ~ (v2 = 0) | (v5 = 0 & v4 = 0)))) &  ! [v1: $i] : (
% 186.59/25.24  |            ~ (le(v0, v1) = 0) |  ~ $i(v1) |  ? [v2: any] :  ? [v3: $i] :  ?
% 186.59/25.24  |            [v4: any] :  ? [v5: any] : (perm(v1) = v3 & le(v3, n) = v5 & le(v1,
% 186.59/25.24  |                n) = v2 & le(v0, v3) = v4 & $i(v3) & ( ~ (v2 = 0) | (v5 = 0 &
% 186.59/25.24  |                  v4 = 0)))))
% 186.59/25.24  | 
% 186.59/25.24  | ALPHA: (permutation_another_one) implies:
% 186.59/25.24  |   (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] : ( ~ (minus(v1, v0) = v2) |  ~
% 186.59/25.24  |          $i(v1) |  ~ $i(v0) |  ? [v3: $i] :  ? [v4: $i] : (perm(v1) = v4 &
% 186.59/25.24  |            perm(v0) = v3 & minus(v3, v4) = v2 & $i(v4) & $i(v3) & $i(v2)))
% 186.59/25.25  |   (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] :  ! [v4: $i] : (
% 186.59/25.25  |          ~ (perm(v1) = v3) |  ~ (perm(v0) = v2) |  ~ (minus(v2, v3) = v4) |  ~
% 186.59/25.25  |          $i(v1) |  ~ $i(v0) | (minus(v1, v0) = v4 & $i(v4)))
% 186.59/25.25  | 
% 186.59/25.25  | ALPHA: (le_trans) implies:
% 186.59/25.25  |   (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] : ( ~ (le(v1, v2) = 0) |  ~
% 186.59/25.25  |          (le(v0, v1) = 0) |  ~ $i(v2) |  ~ $i(v1) |  ~ $i(v0) | le(v0, v2) =
% 186.59/25.25  |          0)
% 186.59/25.25  |   (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: int] : (v3 = 0 |  ~
% 186.59/25.25  |           (le(v0, v2) = v3) |  ~ (le(v0, v1) = 0) |  ~ $i(v2) |  ~ $i(v1) |  ~
% 186.59/25.25  |           $i(v0) |  ? [v4: int] : ( ~ (v4 = 0) & le(v1, v2) = v4))
% 186.59/25.25  | 
% 186.59/25.25  | ALPHA: (plus1) implies:
% 186.59/25.25  |   (11)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] :  ! [v4: $i] :
% 186.59/25.25  |         ( ~ (minus(v3, v1) = v4) |  ~ (minus(v0, v2) = v4) |  ~ $i(v3) |  ~
% 186.59/25.25  |           $i(v2) |  ~ $i(v1) |  ~ $i(v0) |  ? [v5: $i] : (plus(v2, v3) = v5 &
% 186.59/25.25  |             plus(v0, v1) = v5 & $i(v5)))
% 186.59/25.25  |   (12)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] :  ! [v4: $i] :
% 186.59/25.25  |         ( ~ (plus(v2, v3) = v4) |  ~ (plus(v0, v1) = v4) |  ~ $i(v3) |  ~
% 186.59/25.25  |           $i(v2) |  ~ $i(v1) |  ~ $i(v0) |  ? [v5: $i] : (minus(v3, v1) = v5 &
% 186.59/25.25  |             minus(v0, v2) = v5 & $i(v5)))
% 186.59/25.25  |   (13)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] :  ! [v4: $i] : 
% 186.59/25.25  |         ! [v5: $i] : (v5 = v4 |  ~ (minus(v3, v1) = v5) |  ~ (minus(v0, v2) =
% 186.59/25.25  |             v4) |  ~ $i(v3) |  ~ $i(v2) |  ~ $i(v1) |  ~ $i(v0) |  ? [v6: $i]
% 186.59/25.25  |           :  ? [v7: $i] : ( ~ (v7 = v6) & plus(v2, v3) = v7 & plus(v0, v1) =
% 186.59/25.25  |             v6 & $i(v7) & $i(v6)))
% 186.59/25.25  |   (14)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] :  ! [v4: $i] : 
% 186.59/25.25  |         ! [v5: $i] : (v5 = v4 |  ~ (plus(v2, v3) = v5) |  ~ (plus(v0, v1) =
% 186.59/25.25  |             v4) |  ~ $i(v3) |  ~ $i(v2) |  ~ $i(v1) |  ~ $i(v0) |  ? [v6: $i]
% 186.59/25.25  |           :  ? [v7: $i] : ( ~ (v7 = v6) & minus(v3, v1) = v7 & minus(v0, v2) =
% 186.59/25.25  |             v6 & $i(v7) & $i(v6)))
% 186.59/25.25  | 
% 186.59/25.25  | ALPHA: (minus1) implies:
% 186.59/25.25  |   (15)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] :  ! [v4: $i] :
% 186.59/25.25  |         ( ~ (minus(v2, v3) = v4) |  ~ (minus(v0, v1) = v4) |  ~ $i(v3) |  ~
% 186.59/25.25  |           $i(v2) |  ~ $i(v1) |  ~ $i(v0) |  ? [v5: $i] : (minus(v1, v3) = v5 &
% 186.59/25.25  |             minus(v0, v2) = v5 & $i(v5)))
% 186.59/25.26  |   (16)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] :  ! [v4: $i] : 
% 186.59/25.26  |         ! [v5: $i] : (v5 = v4 |  ~ (minus(v2, v3) = v5) |  ~ (minus(v0, v1) =
% 186.59/25.26  |             v4) |  ~ $i(v3) |  ~ $i(v2) |  ~ $i(v1) |  ~ $i(v0) |  ? [v6: $i]
% 186.59/25.26  |           :  ? [v7: $i] : ( ~ (v7 = v6) & minus(v1, v3) = v7 & minus(v0, v2) =
% 186.59/25.26  |             v6 & $i(v7) & $i(v6)))
% 186.59/25.26  | 
% 186.59/25.26  | ALPHA: (queens_sym) implies:
% 186.59/25.26  |   (17)   ~ queens_q
% 186.59/25.26  |   (18)  queens_p
% 186.59/25.26  |   (19)   ! [v0: $i] :  ! [v1: $i] : ( ~ (perm(v0) = v1) |  ~ $i(v0) |  ? [v2:
% 186.59/25.26  |             $i] : (q(v0) = v2 & p(v1) = v2 & $i(v2)))
% 186.59/25.26  |   (20)   ! [v0: $i] :  ! [v1: $i] : ( ~ (q(v0) = v1) |  ~ $i(v0) |  ? [v2: $i]
% 186.59/25.26  |           : (perm(v0) = v2 & p(v2) = v1 & $i(v2) & $i(v1)))
% 186.59/25.26  | 
% 186.59/25.26  | ALPHA: (function-axioms) implies:
% 186.59/25.26  |   (21)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] : (v1 = v0 |  ~ (p(v2) = v1) |
% 186.59/25.26  |            ~ (p(v2) = v0))
% 186.59/25.26  |   (22)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] : (v1 = v0 |  ~ (s(v2) = v1) |
% 186.59/25.26  |            ~ (s(v2) = v0))
% 186.59/25.26  |   (23)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] : (v1 = v0 |  ~ (perm(v2) =
% 186.59/25.26  |             v1) |  ~ (perm(v2) = v0))
% 186.59/25.26  |   (24)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] : (v1 = v0 |  ~ (q(v2) = v1) |
% 186.59/25.26  |            ~ (q(v2) = v0))
% 186.59/25.26  |   (25)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.59/25.26  |           (minus(v3, v2) = v1) |  ~ (minus(v3, v2) = v0))
% 186.59/25.26  |   (26)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.59/25.26  |           (plus(v3, v2) = v1) |  ~ (plus(v3, v2) = v0))
% 186.59/25.26  |   (27)   ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i]
% 186.59/25.26  |         :  ! [v3: $i] : (v1 = v0 |  ~ (le(v3, v2) = v1) |  ~ (le(v3, v2) =
% 186.59/25.26  |             v0))
% 186.59/25.26  | 
% 186.59/25.26  | DELTA: instantiating (2) with fresh symbol all_10_0 gives:
% 186.59/25.26  |   (28)  s(n) = all_10_0 & $i(all_10_0) &  ! [v0: $i] :  ! [v1: $i] : ( ~
% 186.59/25.26  |           (perm(v0) = v1) |  ~ $i(v0) | (minus(all_10_0, v0) = v1 & $i(v1))) &
% 186.59/25.26  |          ! [v0: $i] :  ! [v1: $i] : ( ~ (minus(all_10_0, v0) = v1) |  ~ $i(v0)
% 186.59/25.26  |           | (perm(v0) = v1 & $i(v1)))
% 186.59/25.26  | 
% 186.59/25.26  | ALPHA: (28) implies:
% 186.59/25.26  |   (29)  $i(all_10_0)
% 186.59/25.26  |   (30)   ! [v0: $i] :  ! [v1: $i] : ( ~ (perm(v0) = v1) |  ~ $i(v0) |
% 186.59/25.26  |           (minus(all_10_0, v0) = v1 & $i(v1)))
% 186.59/25.26  | 
% 186.59/25.26  | DELTA: instantiating (1) with fresh symbol all_13_0 gives:
% 186.59/25.27  |   (31)  s(n0) = all_13_0 & $i(all_13_0) & ( ~ queens_p |  ! [v0: $i] :  ! [v1:
% 186.59/25.27  |             $i] :  ! [v2: $i] : ( ~ (s(v0) = v2) |  ~ (le(v2, v1) = 0) |  ~
% 186.59/25.27  |             $i(v1) |  ~ $i(v0) |  ? [v3: any] :  ? [v4: any] :  ? [v5: any] : 
% 186.59/25.27  |             ? [v6: $i] :  ? [v7: $i] :  ? [v8: $i] :  ? [v9: $i] :  ? [v10:
% 186.59/25.27  |               $i] :  ? [v11: $i] : (le(v1, n) = v5 & le(v0, n) = v4 &
% 186.59/25.27  |               le(all_13_0, v0) = v3 & p(v1) = v7 & p(v0) = v6 & plus(v7, v1) =
% 186.59/25.27  |               v9 & plus(v6, v0) = v8 & minus(v7, v1) = v11 & minus(v6, v0) =
% 186.59/25.27  |               v10 & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & (
% 186.59/25.27  |                 ~ (v5 = 0) |  ~ (v4 = 0) |  ~ (v3 = 0) | ( ~ (v11 = v10) &  ~
% 186.59/25.27  |                   (v9 = v8) &  ~ (v7 = v6))))))
% 186.59/25.27  | 
% 186.59/25.27  | ALPHA: (31) implies:
% 186.59/25.27  |   (32)  s(n0) = all_13_0
% 186.59/25.27  |   (33)   ~ queens_p |  ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] : ( ~ (s(v0) =
% 186.59/25.27  |             v2) |  ~ (le(v2, v1) = 0) |  ~ $i(v1) |  ~ $i(v0) |  ? [v3: any] :
% 186.59/25.27  |            ? [v4: any] :  ? [v5: any] :  ? [v6: $i] :  ? [v7: $i] :  ? [v8:
% 186.59/25.27  |             $i] :  ? [v9: $i] :  ? [v10: $i] :  ? [v11: $i] : (le(v1, n) = v5
% 186.59/25.27  |             & le(v0, n) = v4 & le(all_13_0, v0) = v3 & p(v1) = v7 & p(v0) = v6
% 186.59/25.27  |             & plus(v7, v1) = v9 & plus(v6, v0) = v8 & minus(v7, v1) = v11 &
% 186.59/25.27  |             minus(v6, v0) = v10 & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7)
% 186.59/25.27  |             & $i(v6) & ( ~ (v5 = 0) |  ~ (v4 = 0) |  ~ (v3 = 0) | ( ~ (v11 =
% 186.59/25.27  |                   v10) &  ~ (v9 = v8) &  ~ (v7 = v6)))))
% 186.59/25.27  | 
% 186.59/25.27  | DELTA: instantiating (6) with fresh symbol all_15_0 gives:
% 186.59/25.27  |   (34)  s(n0) = all_15_0 & $i(all_15_0) &  ! [v0: $i] :  ! [v1: $i] : ( ~
% 186.59/25.27  |           (perm(v0) = v1) |  ~ $i(v0) |  ? [v2: any] :  ? [v3: any] :  ? [v4:
% 186.59/25.27  |             any] :  ? [v5: any] : (le(v1, n) = v5 & le(v0, n) = v3 &
% 186.59/25.27  |             le(all_15_0, v1) = v4 & le(all_15_0, v0) = v2 & ( ~ (v3 = 0) |  ~
% 186.59/25.27  |               (v2 = 0) | (v5 = 0 & v4 = 0)))) &  ! [v0: $i] : ( ~ (le(v0, n) =
% 186.59/25.27  |             0) |  ~ $i(v0) |  ? [v1: any] :  ? [v2: $i] :  ? [v3: any] :  ?
% 186.59/25.27  |           [v4: any] : (perm(v0) = v2 & le(v2, n) = v4 & le(all_15_0, v2) = v3
% 186.59/25.27  |             & le(all_15_0, v0) = v1 & $i(v2) & ( ~ (v1 = 0) | (v4 = 0 & v3 =
% 186.59/25.27  |                 0)))) &  ! [v0: $i] : ( ~ (le(all_15_0, v0) = 0) |  ~ $i(v0) |
% 186.59/25.27  |            ? [v1: any] :  ? [v2: $i] :  ? [v3: any] :  ? [v4: any] : (perm(v0)
% 186.59/25.27  |             = v2 & le(v2, n) = v4 & le(v0, n) = v1 & le(all_15_0, v2) = v3 &
% 186.59/25.27  |             $i(v2) & ( ~ (v1 = 0) | (v4 = 0 & v3 = 0))))
% 186.59/25.27  | 
% 186.59/25.27  | ALPHA: (34) implies:
% 186.59/25.27  |   (35)  $i(all_15_0)
% 186.59/25.27  |   (36)  s(n0) = all_15_0
% 186.59/25.28  |   (37)   ! [v0: $i] : ( ~ (le(v0, n) = 0) |  ~ $i(v0) |  ? [v1: any] :  ? [v2:
% 186.59/25.28  |             $i] :  ? [v3: any] :  ? [v4: any] : (perm(v0) = v2 & le(v2, n) =
% 186.59/25.28  |             v4 & le(all_15_0, v2) = v3 & le(all_15_0, v0) = v1 & $i(v2) & ( ~
% 186.59/25.28  |               (v1 = 0) | (v4 = 0 & v3 = 0))))
% 186.59/25.28  |   (38)   ! [v0: $i] :  ! [v1: $i] : ( ~ (perm(v0) = v1) |  ~ $i(v0) |  ? [v2:
% 186.59/25.28  |             any] :  ? [v3: any] :  ? [v4: any] :  ? [v5: any] : (le(v1, n) =
% 186.59/25.28  |             v5 & le(v0, n) = v3 & le(all_15_0, v1) = v4 & le(all_15_0, v0) =
% 186.59/25.28  |             v2 & ( ~ (v3 = 0) |  ~ (v2 = 0) | (v5 = 0 & v4 = 0))))
% 186.59/25.28  | 
% 186.59/25.28  | DELTA: instantiating (3) with fresh symbols all_18_0, all_18_1, all_18_2,
% 186.59/25.28  |        all_18_3, all_18_4, all_18_5, all_18_6, all_18_7, all_18_8, all_18_9,
% 186.59/25.28  |        all_18_10, all_18_11, all_18_12, all_18_13, all_18_14, all_18_15,
% 186.59/25.28  |        all_18_16, all_18_17 gives:
% 186.59/25.28  |   (39)  s(n0) = all_18_17 & $i(all_18_15) & $i(all_18_16) & $i(all_18_17) &
% 186.59/25.28  |         (queens_q | (all_18_6 = 0 & all_18_10 = 0 & all_18_11 = 0 & all_18_13
% 186.59/25.28  |             = 0 & all_18_14 = 0 & q(all_18_15) = all_18_4 & q(all_18_16) =
% 186.59/25.28  |             all_18_5 & perm(all_18_15) = all_18_9 & perm(all_18_16) = all_18_7
% 186.59/25.28  |             & s(all_18_9) = all_18_8 & s(all_18_16) = all_18_12 & le(all_18_8,
% 186.59/25.28  |               all_18_7) = 0 & le(all_18_12, all_18_15) = 0 & le(all_18_15, n)
% 186.59/25.28  |             = 0 & le(all_18_16, n) = 0 & le(all_18_17, all_18_16) = 0 &
% 186.59/25.28  |             plus(all_18_4, all_18_15) = all_18_2 & plus(all_18_5, all_18_16) =
% 186.59/25.28  |             all_18_3 & minus(all_18_4, all_18_15) = all_18_0 & minus(all_18_5,
% 186.59/25.28  |               all_18_16) = all_18_1 & $i(all_18_0) & $i(all_18_1) &
% 186.59/25.28  |             $i(all_18_2) & $i(all_18_3) & $i(all_18_4) & $i(all_18_5) &
% 186.59/25.28  |             $i(all_18_7) & $i(all_18_8) & $i(all_18_9) & $i(all_18_12) &
% 186.59/25.28  |             (all_18_0 = all_18_1 | all_18_2 = all_18_3 | all_18_4 =
% 186.59/25.28  |               all_18_5)))
% 186.59/25.28  | 
% 186.59/25.28  | ALPHA: (39) implies:
% 186.59/25.28  |   (40)  $i(all_18_16)
% 186.59/25.28  |   (41)  $i(all_18_15)
% 186.59/25.28  |   (42)  s(n0) = all_18_17
% 186.59/25.28  |   (43)  queens_q | (all_18_6 = 0 & all_18_10 = 0 & all_18_11 = 0 & all_18_13 =
% 186.59/25.28  |           0 & all_18_14 = 0 & q(all_18_15) = all_18_4 & q(all_18_16) =
% 186.59/25.28  |           all_18_5 & perm(all_18_15) = all_18_9 & perm(all_18_16) = all_18_7 &
% 186.59/25.28  |           s(all_18_9) = all_18_8 & s(all_18_16) = all_18_12 & le(all_18_8,
% 186.59/25.28  |             all_18_7) = 0 & le(all_18_12, all_18_15) = 0 & le(all_18_15, n) =
% 186.59/25.28  |           0 & le(all_18_16, n) = 0 & le(all_18_17, all_18_16) = 0 &
% 186.59/25.28  |           plus(all_18_4, all_18_15) = all_18_2 & plus(all_18_5, all_18_16) =
% 186.59/25.28  |           all_18_3 & minus(all_18_4, all_18_15) = all_18_0 & minus(all_18_5,
% 186.59/25.28  |             all_18_16) = all_18_1 & $i(all_18_0) & $i(all_18_1) & $i(all_18_2)
% 186.59/25.28  |           & $i(all_18_3) & $i(all_18_4) & $i(all_18_5) & $i(all_18_7) &
% 186.59/25.28  |           $i(all_18_8) & $i(all_18_9) & $i(all_18_12) & (all_18_0 = all_18_1 |
% 186.59/25.28  |             all_18_2 = all_18_3 | all_18_4 = all_18_5))
% 186.59/25.28  | 
% 186.59/25.28  | BETA: splitting (43) gives:
% 186.59/25.28  | 
% 186.59/25.29  | Case 1:
% 186.59/25.29  | | 
% 186.59/25.29  | |   (44)  queens_q
% 186.59/25.29  | | 
% 186.59/25.29  | | PRED_UNIFY: (17), (44) imply:
% 186.59/25.29  | |   (45)  $false
% 186.59/25.29  | | 
% 186.59/25.29  | | CLOSE: (45) is inconsistent.
% 186.59/25.29  | | 
% 186.59/25.29  | Case 2:
% 186.59/25.29  | | 
% 186.59/25.29  | |   (46)  all_18_6 = 0 & all_18_10 = 0 & all_18_11 = 0 & all_18_13 = 0 &
% 186.59/25.29  | |         all_18_14 = 0 & q(all_18_15) = all_18_4 & q(all_18_16) = all_18_5 &
% 186.59/25.29  | |         perm(all_18_15) = all_18_9 & perm(all_18_16) = all_18_7 &
% 186.59/25.29  | |         s(all_18_9) = all_18_8 & s(all_18_16) = all_18_12 & le(all_18_8,
% 186.59/25.29  | |           all_18_7) = 0 & le(all_18_12, all_18_15) = 0 & le(all_18_15, n) =
% 186.59/25.29  | |         0 & le(all_18_16, n) = 0 & le(all_18_17, all_18_16) = 0 &
% 186.59/25.29  | |         plus(all_18_4, all_18_15) = all_18_2 & plus(all_18_5, all_18_16) =
% 186.59/25.29  | |         all_18_3 & minus(all_18_4, all_18_15) = all_18_0 & minus(all_18_5,
% 186.59/25.29  | |           all_18_16) = all_18_1 & $i(all_18_0) & $i(all_18_1) & $i(all_18_2)
% 186.59/25.29  | |         & $i(all_18_3) & $i(all_18_4) & $i(all_18_5) & $i(all_18_7) &
% 186.59/25.29  | |         $i(all_18_8) & $i(all_18_9) & $i(all_18_12) & (all_18_0 = all_18_1 |
% 186.59/25.29  | |           all_18_2 = all_18_3 | all_18_4 = all_18_5)
% 186.59/25.29  | | 
% 186.59/25.29  | | ALPHA: (46) implies:
% 186.59/25.29  | |   (47)  $i(all_18_12)
% 186.59/25.29  | |   (48)  $i(all_18_9)
% 186.59/25.29  | |   (49)  $i(all_18_8)
% 186.59/25.29  | |   (50)  $i(all_18_7)
% 186.59/25.29  | |   (51)  $i(all_18_5)
% 186.59/25.29  | |   (52)  $i(all_18_4)
% 186.59/25.29  | |   (53)  minus(all_18_5, all_18_16) = all_18_1
% 186.59/25.29  | |   (54)  minus(all_18_4, all_18_15) = all_18_0
% 186.59/25.29  | |   (55)  plus(all_18_5, all_18_16) = all_18_3
% 186.59/25.29  | |   (56)  plus(all_18_4, all_18_15) = all_18_2
% 186.59/25.29  | |   (57)  le(all_18_17, all_18_16) = 0
% 186.59/25.29  | |   (58)  le(all_18_16, n) = 0
% 186.59/25.29  | |   (59)  le(all_18_15, n) = 0
% 186.59/25.29  | |   (60)  le(all_18_12, all_18_15) = 0
% 186.59/25.29  | |   (61)  le(all_18_8, all_18_7) = 0
% 186.59/25.29  | |   (62)  s(all_18_16) = all_18_12
% 186.59/25.29  | |   (63)  s(all_18_9) = all_18_8
% 186.59/25.29  | |   (64)  perm(all_18_16) = all_18_7
% 186.59/25.29  | |   (65)  perm(all_18_15) = all_18_9
% 186.59/25.29  | |   (66)  q(all_18_16) = all_18_5
% 186.59/25.29  | |   (67)  q(all_18_15) = all_18_4
% 186.59/25.29  | |   (68)  all_18_0 = all_18_1 | all_18_2 = all_18_3 | all_18_4 = all_18_5
% 186.59/25.29  | | 
% 186.59/25.29  | | BETA: splitting (33) gives:
% 186.59/25.29  | | 
% 186.59/25.29  | | Case 1:
% 186.59/25.29  | | | 
% 186.59/25.29  | | |   (69)   ~ queens_p
% 186.59/25.29  | | | 
% 186.59/25.29  | | | PRED_UNIFY: (18), (69) imply:
% 186.59/25.29  | | |   (70)  $false
% 186.59/25.29  | | | 
% 186.59/25.29  | | | CLOSE: (70) is inconsistent.
% 186.59/25.29  | | | 
% 186.59/25.29  | | Case 2:
% 186.59/25.29  | | | 
% 186.59/25.29  | | |   (71)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] : ( ~ (s(v0) = v2) |  ~
% 186.59/25.29  | | |           (le(v2, v1) = 0) |  ~ $i(v1) |  ~ $i(v0) |  ? [v3: any] :  ?
% 186.59/25.30  | | |           [v4: any] :  ? [v5: any] :  ? [v6: $i] :  ? [v7: $i] :  ? [v8:
% 186.59/25.30  | | |             $i] :  ? [v9: $i] :  ? [v10: $i] :  ? [v11: $i] : (le(v1, n) =
% 186.59/25.30  | | |             v5 & le(v0, n) = v4 & le(all_13_0, v0) = v3 & p(v1) = v7 &
% 186.59/25.30  | | |             p(v0) = v6 & plus(v7, v1) = v9 & plus(v6, v0) = v8 & minus(v7,
% 186.59/25.30  | | |               v1) = v11 & minus(v6, v0) = v10 & $i(v11) & $i(v10) & $i(v9)
% 186.59/25.30  | | |             & $i(v8) & $i(v7) & $i(v6) & ( ~ (v5 = 0) |  ~ (v4 = 0) |  ~
% 186.59/25.30  | | |               (v3 = 0) | ( ~ (v11 = v10) &  ~ (v9 = v8) &  ~ (v7 = v6)))))
% 186.59/25.30  | | | 
% 186.59/25.30  | | | GROUND_INST: instantiating (22) with all_15_0, all_18_17, n0, simplifying
% 186.59/25.30  | | |              with (36), (42) gives:
% 186.59/25.30  | | |   (72)  all_18_17 = all_15_0
% 186.59/25.30  | | | 
% 186.59/25.30  | | | GROUND_INST: instantiating (22) with all_13_0, all_18_17, n0, simplifying
% 186.59/25.30  | | |              with (32), (42) gives:
% 186.59/25.30  | | |   (73)  all_18_17 = all_13_0
% 186.59/25.30  | | | 
% 186.59/25.30  | | | COMBINE_EQS: (72), (73) imply:
% 186.59/25.30  | | |   (74)  all_15_0 = all_13_0
% 186.59/25.30  | | | 
% 186.59/25.30  | | | SIMP: (74) implies:
% 186.59/25.30  | | |   (75)  all_15_0 = all_13_0
% 186.59/25.30  | | | 
% 186.59/25.30  | | | REDUCE: (57), (73) imply:
% 186.59/25.30  | | |   (76)  le(all_13_0, all_18_16) = 0
% 186.59/25.30  | | | 
% 186.59/25.30  | | | REDUCE: (35), (75) imply:
% 186.59/25.30  | | |   (77)  $i(all_13_0)
% 186.59/25.30  | | | 
% 186.59/25.30  | | | GROUND_INST: instantiating (11) with all_18_5, all_18_16, all_18_16,
% 186.59/25.30  | | |              all_18_5, all_18_1, simplifying with (40), (51), (53) gives:
% 186.59/25.30  | | |   (78)   ? [v0: $i] : (plus(all_18_5, all_18_16) = v0 & plus(all_18_16,
% 186.59/25.30  | | |             all_18_5) = v0 & $i(v0))
% 186.59/25.30  | | | 
% 186.59/25.30  | | | GROUND_INST: instantiating (7) with all_18_16, all_18_5, all_18_1,
% 186.59/25.30  | | |              simplifying with (40), (51), (53) gives:
% 186.59/25.30  | | |   (79)   ? [v0: $i] :  ? [v1: $i] : (perm(all_18_5) = v1 & perm(all_18_16)
% 186.59/25.30  | | |           = v0 & minus(v0, v1) = all_18_1 & $i(v1) & $i(v0) &
% 186.59/25.30  | | |           $i(all_18_1))
% 186.59/25.30  | | | 
% 186.59/25.30  | | | GROUND_INST: instantiating (11) with all_18_4, all_18_15, all_18_15,
% 186.59/25.30  | | |              all_18_4, all_18_0, simplifying with (41), (52), (54) gives:
% 186.59/25.30  | | |   (80)   ? [v0: $i] : (plus(all_18_4, all_18_15) = v0 & plus(all_18_15,
% 186.59/25.30  | | |             all_18_4) = v0 & $i(v0))
% 186.59/25.30  | | | 
% 186.59/25.30  | | | GROUND_INST: instantiating (7) with all_18_15, all_18_4, all_18_0,
% 186.59/25.30  | | |              simplifying with (41), (52), (54) gives:
% 186.59/25.30  | | |   (81)   ? [v0: $i] :  ? [v1: $i] : (perm(all_18_4) = v1 & perm(all_18_15)
% 186.59/25.30  | | |           = v0 & minus(v0, v1) = all_18_0 & $i(v1) & $i(v0) &
% 186.59/25.30  | | |           $i(all_18_0))
% 186.59/25.30  | | | 
% 186.59/25.30  | | | GROUND_INST: instantiating (12) with all_18_5, all_18_16, all_18_5,
% 186.59/25.30  | | |              all_18_16, all_18_3, simplifying with (40), (51), (55) gives:
% 186.59/25.30  | | |   (82)   ? [v0: $i] : (minus(all_18_5, all_18_5) = v0 & minus(all_18_16,
% 186.59/25.30  | | |             all_18_16) = v0 & $i(v0))
% 186.59/25.30  | | | 
% 186.59/25.30  | | | GROUND_INST: instantiating (12) with all_18_4, all_18_15, all_18_4,
% 186.59/25.30  | | |              all_18_15, all_18_2, simplifying with (41), (52), (56) gives:
% 186.59/25.30  | | |   (83)   ? [v0: $i] : (minus(all_18_4, all_18_4) = v0 & minus(all_18_15,
% 186.59/25.30  | | |             all_18_15) = v0 & $i(v0))
% 186.59/25.30  | | | 
% 186.59/25.30  | | | GROUND_INST: instantiating (37) with all_18_16, simplifying with (40),
% 186.59/25.30  | | |              (58) gives:
% 186.59/25.30  | | |   (84)   ? [v0: any] :  ? [v1: $i] :  ? [v2: any] :  ? [v3: any] :
% 186.59/25.30  | | |         (perm(all_18_16) = v1 & le(v1, n) = v3 & le(all_15_0, v1) = v2 &
% 186.59/25.30  | | |           le(all_15_0, all_18_16) = v0 & $i(v1) & ( ~ (v0 = 0) | (v3 = 0 &
% 186.59/25.30  | | |               v2 = 0)))
% 186.59/25.30  | | | 
% 186.59/25.30  | | | GROUND_INST: instantiating (37) with all_18_15, simplifying with (41),
% 186.59/25.30  | | |              (59) gives:
% 186.59/25.30  | | |   (85)   ? [v0: any] :  ? [v1: $i] :  ? [v2: any] :  ? [v3: any] :
% 186.59/25.30  | | |         (perm(all_18_15) = v1 & le(v1, n) = v3 & le(all_15_0, v1) = v2 &
% 186.59/25.30  | | |           le(all_15_0, all_18_15) = v0 & $i(v1) & ( ~ (v0 = 0) | (v3 = 0 &
% 186.59/25.30  | | |               v2 = 0)))
% 186.59/25.30  | | | 
% 186.59/25.30  | | | GROUND_INST: instantiating (9) with all_18_12, all_18_15, n, simplifying
% 186.59/25.30  | | |              with (5), (41), (47), (59), (60) gives:
% 186.59/25.31  | | |   (86)  le(all_18_12, n) = 0
% 186.59/25.31  | | | 
% 186.59/25.31  | | | GROUND_INST: instantiating (71) with n0, all_18_16, all_13_0, simplifying
% 186.59/25.31  | | |              with (4), (32), (40), (76) gives:
% 186.59/25.31  | | |   (87)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :  ? [v3: $i] :  ? [v4:
% 186.59/25.31  | | |           $i] :  ? [v5: $i] :  ? [v6: $i] :  ? [v7: $i] :  ? [v8: $i] :
% 186.59/25.31  | | |         (le(all_18_16, n) = v2 & le(all_13_0, n0) = v0 & le(n0, n) = v1 &
% 186.59/25.31  | | |           p(all_18_16) = v4 & p(n0) = v3 & plus(v4, all_18_16) = v6 &
% 186.59/25.31  | | |           plus(v3, n0) = v5 & minus(v4, all_18_16) = v8 & minus(v3, n0) =
% 186.59/25.31  | | |           v7 & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & ( ~
% 186.59/25.31  | | |             (v2 = 0) |  ~ (v1 = 0) |  ~ (v0 = 0) | ( ~ (v8 = v7) &  ~ (v6
% 186.59/25.31  | | |                 = v5) &  ~ (v4 = v3))))
% 186.59/25.31  | | | 
% 186.59/25.31  | | | GROUND_INST: instantiating (71) with all_18_16, all_18_15, all_18_12,
% 186.59/25.31  | | |              simplifying with (40), (41), (60), (62) gives:
% 186.59/25.31  | | |   (88)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :  ? [v3: $i] :  ? [v4:
% 186.59/25.31  | | |           $i] :  ? [v5: $i] :  ? [v6: $i] :  ? [v7: $i] :  ? [v8: $i] :
% 186.59/25.31  | | |         (le(all_18_15, n) = v2 & le(all_18_16, n) = v1 & le(all_13_0,
% 186.59/25.31  | | |             all_18_16) = v0 & p(all_18_15) = v4 & p(all_18_16) = v3 &
% 186.59/25.31  | | |           plus(v4, all_18_15) = v6 & plus(v3, all_18_16) = v5 & minus(v4,
% 186.59/25.31  | | |             all_18_15) = v8 & minus(v3, all_18_16) = v7 & $i(v8) & $i(v7)
% 186.59/25.31  | | |           & $i(v6) & $i(v5) & $i(v4) & $i(v3) & ( ~ (v2 = 0) |  ~ (v1 = 0)
% 186.59/25.31  | | |             |  ~ (v0 = 0) | ( ~ (v8 = v7) &  ~ (v6 = v5) &  ~ (v4 = v3))))
% 186.59/25.31  | | | 
% 186.59/25.31  | | | GROUND_INST: instantiating (succ_le) with all_18_16, all_18_12,
% 186.59/25.31  | | |              simplifying with (40), (62) gives:
% 186.59/25.31  | | |   (89)  le(all_18_16, all_18_12) = 0
% 186.59/25.31  | | | 
% 186.59/25.31  | | | GROUND_INST: instantiating (71) with all_18_9, all_18_7, all_18_8,
% 186.59/25.31  | | |              simplifying with (48), (50), (61), (63) gives:
% 186.59/25.31  | | |   (90)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :  ? [v3: $i] :  ? [v4:
% 186.59/25.31  | | |           $i] :  ? [v5: $i] :  ? [v6: $i] :  ? [v7: $i] :  ? [v8: $i] :
% 186.59/25.31  | | |         (le(all_18_7, n) = v2 & le(all_18_9, n) = v1 & le(all_13_0,
% 186.59/25.31  | | |             all_18_9) = v0 & p(all_18_7) = v4 & p(all_18_9) = v3 &
% 186.59/25.31  | | |           plus(v4, all_18_7) = v6 & plus(v3, all_18_9) = v5 & minus(v4,
% 186.59/25.31  | | |             all_18_7) = v8 & minus(v3, all_18_9) = v7 & $i(v8) & $i(v7) &
% 186.59/25.31  | | |           $i(v6) & $i(v5) & $i(v4) & $i(v3) & ( ~ (v2 = 0) |  ~ (v1 = 0) |
% 186.59/25.31  | | |              ~ (v0 = 0) | ( ~ (v8 = v7) &  ~ (v6 = v5) &  ~ (v4 = v3))))
% 186.59/25.31  | | | 
% 186.59/25.31  | | | GROUND_INST: instantiating (succ_le) with all_18_9, all_18_8, simplifying
% 186.59/25.31  | | |              with (48), (63) gives:
% 186.59/25.31  | | |   (91)  le(all_18_9, all_18_8) = 0
% 186.59/25.31  | | | 
% 186.59/25.31  | | | GROUND_INST: instantiating (38) with all_18_16, all_18_7, simplifying with
% 186.59/25.31  | | |              (40), (64) gives:
% 186.59/25.31  | | |   (92)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :  ? [v3: any] :
% 186.59/25.31  | | |         (le(all_18_7, n) = v3 & le(all_18_16, n) = v1 & le(all_15_0,
% 186.59/25.31  | | |             all_18_7) = v2 & le(all_15_0, all_18_16) = v0 & ( ~ (v1 = 0) |
% 186.59/25.31  | | |              ~ (v0 = 0) | (v3 = 0 & v2 = 0)))
% 186.59/25.31  | | | 
% 186.59/25.31  | | | GROUND_INST: instantiating (19) with all_18_16, all_18_7, simplifying with
% 186.59/25.31  | | |              (40), (64) gives:
% 186.59/25.31  | | |   (93)   ? [v0: $i] : (q(all_18_16) = v0 & p(all_18_7) = v0 & $i(v0))
% 186.59/25.31  | | | 
% 186.59/25.31  | | | GROUND_INST: instantiating (30) with all_18_16, all_18_7, simplifying with
% 186.59/25.31  | | |              (40), (64) gives:
% 186.59/25.31  | | |   (94)  minus(all_10_0, all_18_16) = all_18_7 & $i(all_18_7)
% 186.59/25.31  | | | 
% 186.59/25.31  | | | ALPHA: (94) implies:
% 186.59/25.31  | | |   (95)  minus(all_10_0, all_18_16) = all_18_7
% 186.59/25.31  | | | 
% 186.59/25.31  | | | GROUND_INST: instantiating (38) with all_18_15, all_18_9, simplifying with
% 186.59/25.31  | | |              (41), (65) gives:
% 186.59/25.31  | | |   (96)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :  ? [v3: any] :
% 186.59/25.31  | | |         (le(all_18_9, n) = v3 & le(all_18_15, n) = v1 & le(all_15_0,
% 186.59/25.31  | | |             all_18_9) = v2 & le(all_15_0, all_18_15) = v0 & ( ~ (v1 = 0) |
% 186.59/25.31  | | |              ~ (v0 = 0) | (v3 = 0 & v2 = 0)))
% 186.59/25.31  | | | 
% 186.59/25.31  | | | GROUND_INST: instantiating (19) with all_18_15, all_18_9, simplifying with
% 186.59/25.31  | | |              (41), (65) gives:
% 186.59/25.31  | | |   (97)   ? [v0: $i] : (q(all_18_15) = v0 & p(all_18_9) = v0 & $i(v0))
% 186.59/25.31  | | | 
% 186.59/25.31  | | | GROUND_INST: instantiating (30) with all_18_15, all_18_9, simplifying with
% 186.59/25.31  | | |              (41), (65) gives:
% 186.59/25.31  | | |   (98)  minus(all_10_0, all_18_15) = all_18_9 & $i(all_18_9)
% 186.59/25.32  | | | 
% 186.59/25.32  | | | ALPHA: (98) implies:
% 186.59/25.32  | | |   (99)  minus(all_10_0, all_18_15) = all_18_9
% 186.59/25.32  | | | 
% 186.59/25.32  | | | GROUND_INST: instantiating (20) with all_18_16, all_18_5, simplifying with
% 186.59/25.32  | | |              (40), (66) gives:
% 186.59/25.32  | | |   (100)   ? [v0: $i] : (perm(all_18_16) = v0 & p(v0) = all_18_5 & $i(v0) &
% 186.59/25.32  | | |            $i(all_18_5))
% 186.59/25.32  | | | 
% 186.59/25.32  | | | GROUND_INST: instantiating (20) with all_18_15, all_18_4, simplifying with
% 186.59/25.32  | | |              (41), (67) gives:
% 186.59/25.32  | | |   (101)   ? [v0: $i] : (perm(all_18_15) = v0 & p(v0) = all_18_4 & $i(v0) &
% 186.59/25.32  | | |            $i(all_18_4))
% 186.59/25.32  | | | 
% 186.59/25.32  | | | DELTA: instantiating (83) with fresh symbol all_39_0 gives:
% 186.59/25.32  | | |   (102)  minus(all_18_4, all_18_4) = all_39_0 & minus(all_18_15,
% 186.59/25.32  | | |            all_18_15) = all_39_0 & $i(all_39_0)
% 186.59/25.32  | | | 
% 186.59/25.32  | | | ALPHA: (102) implies:
% 186.59/25.32  | | |   (103)  minus(all_18_15, all_18_15) = all_39_0
% 186.59/25.32  | | |   (104)  minus(all_18_4, all_18_4) = all_39_0
% 186.59/25.32  | | | 
% 186.59/25.32  | | | DELTA: instantiating (80) with fresh symbol all_41_0 gives:
% 186.59/25.32  | | |   (105)  plus(all_18_4, all_18_15) = all_41_0 & plus(all_18_15, all_18_4)
% 186.59/25.32  | | |          = all_41_0 & $i(all_41_0)
% 186.59/25.32  | | | 
% 186.59/25.32  | | | ALPHA: (105) implies:
% 186.59/25.32  | | |   (106)  plus(all_18_15, all_18_4) = all_41_0
% 186.59/25.32  | | |   (107)  plus(all_18_4, all_18_15) = all_41_0
% 186.59/25.32  | | | 
% 186.59/25.32  | | | DELTA: instantiating (97) with fresh symbol all_43_0 gives:
% 186.59/25.32  | | |   (108)  q(all_18_15) = all_43_0 & p(all_18_9) = all_43_0 & $i(all_43_0)
% 186.59/25.32  | | | 
% 186.59/25.32  | | | ALPHA: (108) implies:
% 186.59/25.32  | | |   (109)  $i(all_43_0)
% 186.59/25.32  | | |   (110)  p(all_18_9) = all_43_0
% 186.59/25.32  | | |   (111)  q(all_18_15) = all_43_0
% 186.59/25.32  | | | 
% 186.59/25.32  | | | DELTA: instantiating (93) with fresh symbol all_45_0 gives:
% 186.59/25.32  | | |   (112)  q(all_18_16) = all_45_0 & p(all_18_7) = all_45_0 & $i(all_45_0)
% 186.59/25.32  | | | 
% 186.59/25.32  | | | ALPHA: (112) implies:
% 186.59/25.32  | | |   (113)  $i(all_45_0)
% 186.59/25.32  | | |   (114)  p(all_18_7) = all_45_0
% 186.59/25.32  | | |   (115)  q(all_18_16) = all_45_0
% 186.59/25.32  | | | 
% 186.59/25.32  | | | DELTA: instantiating (82) with fresh symbol all_47_0 gives:
% 186.59/25.32  | | |   (116)  minus(all_18_5, all_18_5) = all_47_0 & minus(all_18_16,
% 186.59/25.32  | | |            all_18_16) = all_47_0 & $i(all_47_0)
% 186.59/25.32  | | | 
% 186.59/25.32  | | | ALPHA: (116) implies:
% 186.59/25.32  | | |   (117)  minus(all_18_16, all_18_16) = all_47_0
% 186.59/25.32  | | |   (118)  minus(all_18_5, all_18_5) = all_47_0
% 186.59/25.32  | | | 
% 186.59/25.32  | | | DELTA: instantiating (78) with fresh symbol all_49_0 gives:
% 186.59/25.32  | | |   (119)  plus(all_18_5, all_18_16) = all_49_0 & plus(all_18_16, all_18_5)
% 186.59/25.32  | | |          = all_49_0 & $i(all_49_0)
% 186.59/25.32  | | | 
% 186.59/25.32  | | | ALPHA: (119) implies:
% 186.59/25.32  | | |   (120)  plus(all_18_16, all_18_5) = all_49_0
% 186.59/25.32  | | |   (121)  plus(all_18_5, all_18_16) = all_49_0
% 186.59/25.32  | | | 
% 186.59/25.32  | | | DELTA: instantiating (101) with fresh symbol all_51_0 gives:
% 186.59/25.32  | | |   (122)  perm(all_18_15) = all_51_0 & p(all_51_0) = all_18_4 &
% 186.59/25.32  | | |          $i(all_51_0) & $i(all_18_4)
% 186.59/25.32  | | | 
% 186.59/25.32  | | | ALPHA: (122) implies:
% 186.59/25.32  | | |   (123)  $i(all_51_0)
% 186.59/25.32  | | |   (124)  perm(all_18_15) = all_51_0
% 186.59/25.32  | | | 
% 186.59/25.32  | | | DELTA: instantiating (100) with fresh symbol all_53_0 gives:
% 186.59/25.32  | | |   (125)  perm(all_18_16) = all_53_0 & p(all_53_0) = all_18_5 &
% 186.59/25.32  | | |          $i(all_53_0) & $i(all_18_5)
% 186.59/25.32  | | | 
% 186.59/25.32  | | | ALPHA: (125) implies:
% 186.59/25.32  | | |   (126)  $i(all_53_0)
% 186.59/25.32  | | |   (127)  perm(all_18_16) = all_53_0
% 186.59/25.32  | | | 
% 186.59/25.32  | | | DELTA: instantiating (79) with fresh symbols all_55_0, all_55_1 gives:
% 186.59/25.32  | | |   (128)  perm(all_18_5) = all_55_0 & perm(all_18_16) = all_55_1 &
% 186.59/25.32  | | |          minus(all_55_1, all_55_0) = all_18_1 & $i(all_55_0) &
% 186.59/25.32  | | |          $i(all_55_1) & $i(all_18_1)
% 186.59/25.32  | | | 
% 186.59/25.32  | | | ALPHA: (128) implies:
% 186.59/25.32  | | |   (129)  $i(all_55_0)
% 186.59/25.32  | | |   (130)  minus(all_55_1, all_55_0) = all_18_1
% 186.59/25.32  | | |   (131)  perm(all_18_16) = all_55_1
% 186.59/25.32  | | |   (132)  perm(all_18_5) = all_55_0
% 186.59/25.32  | | | 
% 186.59/25.32  | | | DELTA: instantiating (81) with fresh symbols all_57_0, all_57_1 gives:
% 186.59/25.32  | | |   (133)  perm(all_18_4) = all_57_0 & perm(all_18_15) = all_57_1 &
% 186.59/25.32  | | |          minus(all_57_1, all_57_0) = all_18_0 & $i(all_57_0) &
% 186.59/25.32  | | |          $i(all_57_1) & $i(all_18_0)
% 186.59/25.32  | | | 
% 186.59/25.32  | | | ALPHA: (133) implies:
% 186.59/25.32  | | |   (134)  $i(all_57_0)
% 186.59/25.32  | | |   (135)  minus(all_57_1, all_57_0) = all_18_0
% 186.59/25.32  | | |   (136)  perm(all_18_15) = all_57_1
% 186.59/25.32  | | |   (137)  perm(all_18_4) = all_57_0
% 186.59/25.32  | | | 
% 186.59/25.32  | | | DELTA: instantiating (96) with fresh symbols all_59_0, all_59_1, all_59_2,
% 186.59/25.32  | | |        all_59_3 gives:
% 186.59/25.32  | | |   (138)  le(all_18_9, n) = all_59_0 & le(all_18_15, n) = all_59_2 &
% 186.59/25.32  | | |          le(all_15_0, all_18_9) = all_59_1 & le(all_15_0, all_18_15) =
% 186.59/25.32  | | |          all_59_3 & ( ~ (all_59_2 = 0) |  ~ (all_59_3 = 0) | (all_59_0 = 0
% 186.59/25.32  | | |              & all_59_1 = 0))
% 186.59/25.32  | | | 
% 186.59/25.32  | | | ALPHA: (138) implies:
% 186.59/25.32  | | |   (139)  le(all_15_0, all_18_15) = all_59_3
% 186.59/25.32  | | |   (140)  le(all_15_0, all_18_9) = all_59_1
% 186.59/25.32  | | |   (141)  le(all_18_15, n) = all_59_2
% 186.59/25.32  | | |   (142)  le(all_18_9, n) = all_59_0
% 186.59/25.32  | | | 
% 186.59/25.32  | | | DELTA: instantiating (85) with fresh symbols all_61_0, all_61_1, all_61_2,
% 186.59/25.32  | | |        all_61_3 gives:
% 186.59/25.32  | | |   (143)  perm(all_18_15) = all_61_2 & le(all_61_2, n) = all_61_0 &
% 186.59/25.32  | | |          le(all_15_0, all_61_2) = all_61_1 & le(all_15_0, all_18_15) =
% 186.59/25.32  | | |          all_61_3 & $i(all_61_2) & ( ~ (all_61_3 = 0) | (all_61_0 = 0 &
% 186.59/25.32  | | |              all_61_1 = 0))
% 186.59/25.32  | | | 
% 186.59/25.32  | | | ALPHA: (143) implies:
% 186.59/25.32  | | |   (144)  le(all_15_0, all_18_15) = all_61_3
% 186.59/25.32  | | |   (145)  le(all_15_0, all_61_2) = all_61_1
% 186.59/25.32  | | |   (146)  le(all_61_2, n) = all_61_0
% 186.59/25.32  | | |   (147)  perm(all_18_15) = all_61_2
% 186.59/25.32  | | |   (148)   ~ (all_61_3 = 0) | (all_61_0 = 0 & all_61_1 = 0)
% 186.59/25.32  | | | 
% 186.59/25.32  | | | DELTA: instantiating (84) with fresh symbols all_63_0, all_63_1, all_63_2,
% 186.59/25.32  | | |        all_63_3 gives:
% 186.59/25.32  | | |   (149)  perm(all_18_16) = all_63_2 & le(all_63_2, n) = all_63_0 &
% 186.59/25.32  | | |          le(all_15_0, all_63_2) = all_63_1 & le(all_15_0, all_18_16) =
% 186.59/25.32  | | |          all_63_3 & $i(all_63_2) & ( ~ (all_63_3 = 0) | (all_63_0 = 0 &
% 186.59/25.32  | | |              all_63_1 = 0))
% 186.59/25.32  | | | 
% 186.59/25.32  | | | ALPHA: (149) implies:
% 186.59/25.32  | | |   (150)  le(all_15_0, all_18_16) = all_63_3
% 186.59/25.33  | | |   (151)  le(all_15_0, all_63_2) = all_63_1
% 186.59/25.33  | | |   (152)  le(all_63_2, n) = all_63_0
% 186.59/25.33  | | |   (153)  perm(all_18_16) = all_63_2
% 186.59/25.33  | | |   (154)   ~ (all_63_3 = 0) | (all_63_0 = 0 & all_63_1 = 0)
% 186.59/25.33  | | | 
% 186.59/25.33  | | | DELTA: instantiating (92) with fresh symbols all_65_0, all_65_1, all_65_2,
% 186.59/25.33  | | |        all_65_3 gives:
% 186.59/25.33  | | |   (155)  le(all_18_7, n) = all_65_0 & le(all_18_16, n) = all_65_2 &
% 186.59/25.33  | | |          le(all_15_0, all_18_7) = all_65_1 & le(all_15_0, all_18_16) =
% 186.59/25.33  | | |          all_65_3 & ( ~ (all_65_2 = 0) |  ~ (all_65_3 = 0) | (all_65_0 = 0
% 186.59/25.33  | | |              & all_65_1 = 0))
% 186.59/25.33  | | | 
% 186.59/25.33  | | | ALPHA: (155) implies:
% 186.59/25.33  | | |   (156)  le(all_15_0, all_18_16) = all_65_3
% 186.59/25.33  | | |   (157)  le(all_18_16, n) = all_65_2
% 186.59/25.33  | | |   (158)  le(all_18_7, n) = all_65_0
% 186.59/25.33  | | |   (159)   ~ (all_65_2 = 0) |  ~ (all_65_3 = 0) | (all_65_0 = 0 & all_65_1
% 186.59/25.33  | | |            = 0)
% 186.59/25.33  | | | 
% 186.59/25.33  | | | DELTA: instantiating (90) with fresh symbols all_67_0, all_67_1, all_67_2,
% 186.59/25.33  | | |        all_67_3, all_67_4, all_67_5, all_67_6, all_67_7, all_67_8 gives:
% 187.01/25.33  | | |   (160)  le(all_18_7, n) = all_67_6 & le(all_18_9, n) = all_67_7 &
% 187.01/25.33  | | |          le(all_13_0, all_18_9) = all_67_8 & p(all_18_7) = all_67_4 &
% 187.01/25.33  | | |          p(all_18_9) = all_67_5 & plus(all_67_4, all_18_7) = all_67_2 &
% 187.01/25.33  | | |          plus(all_67_5, all_18_9) = all_67_3 & minus(all_67_4, all_18_7) =
% 187.01/25.33  | | |          all_67_0 & minus(all_67_5, all_18_9) = all_67_1 & $i(all_67_0) &
% 187.01/25.33  | | |          $i(all_67_1) & $i(all_67_2) & $i(all_67_3) & $i(all_67_4) &
% 187.01/25.33  | | |          $i(all_67_5) & ( ~ (all_67_6 = 0) |  ~ (all_67_7 = 0) |  ~
% 187.01/25.33  | | |            (all_67_8 = 0) | ( ~ (all_67_0 = all_67_1) &  ~ (all_67_2 =
% 187.01/25.33  | | |                all_67_3) &  ~ (all_67_4 = all_67_5)))
% 187.01/25.33  | | | 
% 187.01/25.33  | | | ALPHA: (160) implies:
% 187.01/25.33  | | |   (161)  minus(all_67_5, all_18_9) = all_67_1
% 187.01/25.33  | | |   (162)  minus(all_67_4, all_18_7) = all_67_0
% 187.01/25.33  | | |   (163)  plus(all_67_5, all_18_9) = all_67_3
% 187.01/25.33  | | |   (164)  plus(all_67_4, all_18_7) = all_67_2
% 187.01/25.33  | | |   (165)  p(all_18_9) = all_67_5
% 187.01/25.33  | | |   (166)  p(all_18_7) = all_67_4
% 187.01/25.33  | | |   (167)  le(all_13_0, all_18_9) = all_67_8
% 187.01/25.33  | | |   (168)  le(all_18_9, n) = all_67_7
% 187.01/25.33  | | |   (169)  le(all_18_7, n) = all_67_6
% 187.01/25.33  | | |   (170)   ~ (all_67_6 = 0) |  ~ (all_67_7 = 0) |  ~ (all_67_8 = 0) | ( ~
% 187.01/25.33  | | |            (all_67_0 = all_67_1) &  ~ (all_67_2 = all_67_3) &  ~ (all_67_4
% 187.01/25.33  | | |              = all_67_5))
% 187.01/25.33  | | | 
% 187.01/25.33  | | | DELTA: instantiating (87) with fresh symbols all_69_0, all_69_1, all_69_2,
% 187.01/25.33  | | |        all_69_3, all_69_4, all_69_5, all_69_6, all_69_7, all_69_8 gives:
% 187.01/25.33  | | |   (171)  le(all_18_16, n) = all_69_6 & le(all_13_0, n0) = all_69_8 &
% 187.01/25.33  | | |          le(n0, n) = all_69_7 & p(all_18_16) = all_69_4 & p(n0) = all_69_5
% 187.01/25.33  | | |          & plus(all_69_4, all_18_16) = all_69_2 & plus(all_69_5, n0) =
% 187.01/25.33  | | |          all_69_3 & minus(all_69_4, all_18_16) = all_69_0 &
% 187.01/25.33  | | |          minus(all_69_5, n0) = all_69_1 & $i(all_69_0) & $i(all_69_1) &
% 187.01/25.33  | | |          $i(all_69_2) & $i(all_69_3) & $i(all_69_4) & $i(all_69_5) & ( ~
% 187.01/25.33  | | |            (all_69_6 = 0) |  ~ (all_69_7 = 0) |  ~ (all_69_8 = 0) | ( ~
% 187.01/25.33  | | |              (all_69_0 = all_69_1) &  ~ (all_69_2 = all_69_3) &  ~
% 187.01/25.33  | | |              (all_69_4 = all_69_5)))
% 187.01/25.33  | | | 
% 187.01/25.33  | | | ALPHA: (171) implies:
% 187.01/25.33  | | |   (172)  minus(all_69_4, all_18_16) = all_69_0
% 187.01/25.33  | | |   (173)  plus(all_69_4, all_18_16) = all_69_2
% 187.01/25.33  | | |   (174)  p(all_18_16) = all_69_4
% 187.01/25.33  | | |   (175)  le(all_18_16, n) = all_69_6
% 187.01/25.33  | | | 
% 187.01/25.33  | | | DELTA: instantiating (88) with fresh symbols all_71_0, all_71_1, all_71_2,
% 187.01/25.33  | | |        all_71_3, all_71_4, all_71_5, all_71_6, all_71_7, all_71_8 gives:
% 187.01/25.33  | | |   (176)  le(all_18_15, n) = all_71_6 & le(all_18_16, n) = all_71_7 &
% 187.01/25.33  | | |          le(all_13_0, all_18_16) = all_71_8 & p(all_18_15) = all_71_4 &
% 187.01/25.33  | | |          p(all_18_16) = all_71_5 & plus(all_71_4, all_18_15) = all_71_2 &
% 187.01/25.33  | | |          plus(all_71_5, all_18_16) = all_71_3 & minus(all_71_4, all_18_15)
% 187.01/25.33  | | |          = all_71_0 & minus(all_71_5, all_18_16) = all_71_1 & $i(all_71_0)
% 187.01/25.33  | | |          & $i(all_71_1) & $i(all_71_2) & $i(all_71_3) & $i(all_71_4) &
% 187.01/25.33  | | |          $i(all_71_5) & ( ~ (all_71_6 = 0) |  ~ (all_71_7 = 0) |  ~
% 187.01/25.33  | | |            (all_71_8 = 0) | ( ~ (all_71_0 = all_71_1) &  ~ (all_71_2 =
% 187.01/25.33  | | |                all_71_3) &  ~ (all_71_4 = all_71_5)))
% 187.01/25.33  | | | 
% 187.01/25.33  | | | ALPHA: (176) implies:
% 187.01/25.33  | | |   (177)  $i(all_71_5)
% 187.01/25.33  | | |   (178)  $i(all_71_4)
% 187.01/25.33  | | |   (179)  minus(all_71_5, all_18_16) = all_71_1
% 187.01/25.33  | | |   (180)  minus(all_71_4, all_18_15) = all_71_0
% 187.01/25.33  | | |   (181)  plus(all_71_5, all_18_16) = all_71_3
% 187.01/25.33  | | |   (182)  plus(all_71_4, all_18_15) = all_71_2
% 187.01/25.33  | | |   (183)  p(all_18_16) = all_71_5
% 187.01/25.33  | | |   (184)  le(all_13_0, all_18_16) = all_71_8
% 187.01/25.33  | | |   (185)  le(all_18_16, n) = all_71_7
% 187.01/25.33  | | |   (186)  le(all_18_15, n) = all_71_6
% 187.01/25.33  | | |   (187)   ~ (all_71_6 = 0) |  ~ (all_71_7 = 0) |  ~ (all_71_8 = 0) | ( ~
% 187.01/25.33  | | |            (all_71_0 = all_71_1) &  ~ (all_71_2 = all_71_3) &  ~ (all_71_4
% 187.01/25.33  | | |              = all_71_5))
% 187.01/25.33  | | | 
% 187.01/25.33  | | | REDUCE: (75), (151) imply:
% 187.01/25.33  | | |   (188)  le(all_13_0, all_63_2) = all_63_1
% 187.01/25.33  | | | 
% 187.01/25.33  | | | REDUCE: (75), (145) imply:
% 187.01/25.33  | | |   (189)  le(all_13_0, all_61_2) = all_61_1
% 187.01/25.33  | | | 
% 187.01/25.33  | | | REDUCE: (75), (140) imply:
% 187.01/25.33  | | |   (190)  le(all_13_0, all_18_9) = all_59_1
% 187.01/25.33  | | | 
% 187.01/25.33  | | | REDUCE: (75), (144) imply:
% 187.01/25.33  | | |   (191)  le(all_13_0, all_18_15) = all_61_3
% 187.01/25.33  | | | 
% 187.01/25.33  | | | REDUCE: (75), (139) imply:
% 187.01/25.33  | | |   (192)  le(all_13_0, all_18_15) = all_59_3
% 187.01/25.33  | | | 
% 187.01/25.33  | | | REDUCE: (75), (156) imply:
% 187.01/25.33  | | |   (193)  le(all_13_0, all_18_16) = all_65_3
% 187.01/25.33  | | | 
% 187.01/25.33  | | | REDUCE: (75), (150) imply:
% 187.01/25.33  | | |   (194)  le(all_13_0, all_18_16) = all_63_3
% 187.01/25.33  | | | 
% 187.01/25.33  | | | GROUND_INST: instantiating (26) with all_18_3, all_49_0, all_18_16,
% 187.01/25.33  | | |              all_18_5, simplifying with (55), (121) gives:
% 187.01/25.33  | | |   (195)  all_49_0 = all_18_3
% 187.01/25.33  | | | 
% 187.01/25.33  | | | GROUND_INST: instantiating (26) with all_18_2, all_41_0, all_18_15,
% 187.01/25.33  | | |              all_18_4, simplifying with (56), (107) gives:
% 187.01/25.33  | | |   (196)  all_41_0 = all_18_2
% 187.01/25.33  | | | 
% 187.01/25.34  | | | GROUND_INST: instantiating (21) with all_69_4, all_71_5, all_18_16,
% 187.01/25.34  | | |              simplifying with (174), (183) gives:
% 187.01/25.34  | | |   (197)  all_71_5 = all_69_4
% 187.01/25.34  | | | 
% 187.01/25.34  | | | GROUND_INST: instantiating (21) with all_43_0, all_67_5, all_18_9,
% 187.01/25.34  | | |              simplifying with (110), (165) gives:
% 187.01/25.34  | | |   (198)  all_67_5 = all_43_0
% 187.01/25.34  | | | 
% 187.01/25.34  | | | GROUND_INST: instantiating (21) with all_45_0, all_67_4, all_18_7,
% 187.01/25.34  | | |              simplifying with (114), (166) gives:
% 187.01/25.34  | | |   (199)  all_67_4 = all_45_0
% 187.01/25.34  | | | 
% 187.01/25.34  | | | GROUND_INST: instantiating (27) with 0, all_71_8, all_18_16, all_13_0,
% 187.01/25.34  | | |              simplifying with (76), (184) gives:
% 187.01/25.34  | | |   (200)  all_71_8 = 0
% 187.01/25.34  | | | 
% 187.01/25.34  | | | GROUND_INST: instantiating (27) with all_65_3, all_71_8, all_18_16,
% 187.01/25.34  | | |              all_13_0, simplifying with (184), (193) gives:
% 187.01/25.34  | | |   (201)  all_71_8 = all_65_3
% 187.01/25.34  | | | 
% 187.01/25.34  | | | GROUND_INST: instantiating (27) with all_63_3, all_71_8, all_18_16,
% 187.01/25.34  | | |              all_13_0, simplifying with (184), (194) gives:
% 187.01/25.34  | | |   (202)  all_71_8 = all_63_3
% 187.01/25.34  | | | 
% 187.01/25.34  | | | GROUND_INST: instantiating (27) with all_59_3, all_61_3, all_18_15,
% 187.01/25.34  | | |              all_13_0, simplifying with (191), (192) gives:
% 187.01/25.34  | | |   (203)  all_61_3 = all_59_3
% 187.01/25.34  | | | 
% 187.01/25.34  | | | GROUND_INST: instantiating (27) with all_59_1, all_67_8, all_18_9,
% 187.01/25.34  | | |              all_13_0, simplifying with (167), (190) gives:
% 187.01/25.34  | | |   (204)  all_67_8 = all_59_1
% 187.01/25.34  | | | 
% 187.01/25.34  | | | GROUND_INST: instantiating (27) with all_65_2, all_69_6, n, all_18_16,
% 187.01/25.34  | | |              simplifying with (157), (175) gives:
% 187.01/25.34  | | |   (205)  all_69_6 = all_65_2
% 187.01/25.34  | | | 
% 187.01/25.34  | | | GROUND_INST: instantiating (27) with 0, all_71_7, n, all_18_16,
% 187.01/25.34  | | |              simplifying with (58), (185) gives:
% 187.01/25.34  | | |   (206)  all_71_7 = 0
% 187.01/25.34  | | | 
% 187.01/25.34  | | | GROUND_INST: instantiating (27) with all_69_6, all_71_7, n, all_18_16,
% 187.01/25.34  | | |              simplifying with (175), (185) gives:
% 187.01/25.34  | | |   (207)  all_71_7 = all_69_6
% 187.01/25.34  | | | 
% 187.01/25.34  | | | GROUND_INST: instantiating (27) with 0, all_71_6, n, all_18_15,
% 187.01/25.34  | | |              simplifying with (59), (186) gives:
% 187.01/25.34  | | |   (208)  all_71_6 = 0
% 187.01/25.34  | | | 
% 187.01/25.34  | | | GROUND_INST: instantiating (27) with all_59_2, all_71_6, n, all_18_15,
% 187.01/25.34  | | |              simplifying with (141), (186) gives:
% 187.01/25.34  | | |   (209)  all_71_6 = all_59_2
% 187.01/25.34  | | | 
% 187.01/25.34  | | | GROUND_INST: instantiating (27) with all_59_0, all_67_7, n, all_18_9,
% 187.01/25.34  | | |              simplifying with (142), (168) gives:
% 187.01/25.34  | | |   (210)  all_67_7 = all_59_0
% 187.01/25.34  | | | 
% 187.01/25.34  | | | GROUND_INST: instantiating (27) with all_65_0, all_67_6, n, all_18_7,
% 187.01/25.34  | | |              simplifying with (158), (169) gives:
% 187.01/25.34  | | |   (211)  all_67_6 = all_65_0
% 187.01/25.34  | | | 
% 187.01/25.34  | | | GROUND_INST: instantiating (23) with all_18_7, all_63_2, all_18_16,
% 187.01/25.34  | | |              simplifying with (64), (153) gives:
% 187.01/25.34  | | |   (212)  all_63_2 = all_18_7
% 187.01/25.34  | | | 
% 187.01/25.34  | | | GROUND_INST: instantiating (23) with all_55_1, all_63_2, all_18_16,
% 187.01/25.34  | | |              simplifying with (131), (153) gives:
% 187.01/25.34  | | |   (213)  all_63_2 = all_55_1
% 187.01/25.34  | | | 
% 187.01/25.34  | | | GROUND_INST: instantiating (23) with all_53_0, all_63_2, all_18_16,
% 187.01/25.34  | | |              simplifying with (127), (153) gives:
% 187.01/25.34  | | |   (214)  all_63_2 = all_53_0
% 187.01/25.34  | | | 
% 187.01/25.34  | | | GROUND_INST: instantiating (23) with all_18_9, all_61_2, all_18_15,
% 187.01/25.34  | | |              simplifying with (65), (147) gives:
% 187.01/25.34  | | |   (215)  all_61_2 = all_18_9
% 187.01/25.34  | | | 
% 187.01/25.34  | | | GROUND_INST: instantiating (23) with all_57_1, all_61_2, all_18_15,
% 187.01/25.34  | | |              simplifying with (136), (147) gives:
% 187.01/25.34  | | |   (216)  all_61_2 = all_57_1
% 187.01/25.34  | | | 
% 187.01/25.34  | | | GROUND_INST: instantiating (23) with all_51_0, all_61_2, all_18_15,
% 187.01/25.34  | | |              simplifying with (124), (147) gives:
% 187.01/25.34  | | |   (217)  all_61_2 = all_51_0
% 187.01/25.34  | | | 
% 187.01/25.34  | | | GROUND_INST: instantiating (24) with all_18_5, all_45_0, all_18_16,
% 187.01/25.34  | | |              simplifying with (66), (115) gives:
% 187.01/25.34  | | |   (218)  all_45_0 = all_18_5
% 187.01/25.34  | | | 
% 187.01/25.34  | | | GROUND_INST: instantiating (24) with all_18_4, all_43_0, all_18_15,
% 187.01/25.34  | | |              simplifying with (67), (111) gives:
% 187.01/25.34  | | |   (219)  all_43_0 = all_18_4
% 187.01/25.34  | | | 
% 187.01/25.34  | | | COMBINE_EQS: (208), (209) imply:
% 187.01/25.34  | | |   (220)  all_59_2 = 0
% 187.01/25.34  | | | 
% 187.01/25.34  | | | COMBINE_EQS: (206), (207) imply:
% 187.01/25.34  | | |   (221)  all_69_6 = 0
% 187.01/25.34  | | | 
% 187.01/25.34  | | | SIMP: (221) implies:
% 187.01/25.34  | | |   (222)  all_69_6 = 0
% 187.01/25.34  | | | 
% 187.01/25.34  | | | COMBINE_EQS: (200), (201) imply:
% 187.01/25.34  | | |   (223)  all_65_3 = 0
% 187.01/25.34  | | | 
% 187.01/25.34  | | | COMBINE_EQS: (201), (202) imply:
% 187.01/25.34  | | |   (224)  all_65_3 = all_63_3
% 187.01/25.34  | | | 
% 187.01/25.34  | | | COMBINE_EQS: (205), (222) imply:
% 187.01/25.34  | | |   (225)  all_65_2 = 0
% 187.01/25.34  | | | 
% 187.01/25.34  | | | COMBINE_EQS: (223), (224) imply:
% 187.01/25.34  | | |   (226)  all_63_3 = 0
% 187.01/25.34  | | | 
% 187.01/25.34  | | | SIMP: (226) implies:
% 187.01/25.34  | | |   (227)  all_63_3 = 0
% 187.01/25.34  | | | 
% 187.01/25.34  | | | COMBINE_EQS: (212), (213) imply:
% 187.01/25.34  | | |   (228)  all_55_1 = all_18_7
% 187.01/25.34  | | | 
% 187.01/25.34  | | | COMBINE_EQS: (213), (214) imply:
% 187.01/25.34  | | |   (229)  all_55_1 = all_53_0
% 187.01/25.34  | | | 
% 187.01/25.34  | | | COMBINE_EQS: (216), (217) imply:
% 187.01/25.34  | | |   (230)  all_57_1 = all_51_0
% 187.01/25.34  | | | 
% 187.01/25.34  | | | COMBINE_EQS: (215), (216) imply:
% 187.01/25.34  | | |   (231)  all_57_1 = all_18_9
% 187.01/25.34  | | | 
% 187.01/25.34  | | | COMBINE_EQS: (230), (231) imply:
% 187.01/25.34  | | |   (232)  all_51_0 = all_18_9
% 187.01/25.34  | | | 
% 187.01/25.34  | | | SIMP: (232) implies:
% 187.01/25.34  | | |   (233)  all_51_0 = all_18_9
% 187.01/25.34  | | | 
% 187.01/25.34  | | | COMBINE_EQS: (228), (229) imply:
% 187.01/25.34  | | |   (234)  all_53_0 = all_18_7
% 187.01/25.34  | | | 
% 187.01/25.34  | | | SIMP: (234) implies:
% 187.01/25.34  | | |   (235)  all_53_0 = all_18_7
% 187.01/25.34  | | | 
% 187.01/25.34  | | | COMBINE_EQS: (198), (219) imply:
% 187.01/25.34  | | |   (236)  all_67_5 = all_18_4
% 187.01/25.34  | | | 
% 187.01/25.34  | | | COMBINE_EQS: (199), (218) imply:
% 187.01/25.34  | | |   (237)  all_67_4 = all_18_5
% 187.01/25.34  | | | 
% 187.01/25.34  | | | REDUCE: (152), (212) imply:
% 187.01/25.34  | | |   (238)  le(all_18_7, n) = all_63_0
% 187.01/25.34  | | | 
% 187.01/25.34  | | | REDUCE: (146), (215) imply:
% 187.01/25.34  | | |   (239)  le(all_18_9, n) = all_61_0
% 187.01/25.34  | | | 
% 187.01/25.34  | | | REDUCE: (188), (212) imply:
% 187.01/25.34  | | |   (240)  le(all_13_0, all_18_7) = all_63_1
% 187.01/25.34  | | | 
% 187.01/25.34  | | | REDUCE: (189), (215) imply:
% 187.01/25.34  | | |   (241)  le(all_13_0, all_18_9) = all_61_1
% 187.01/25.34  | | | 
% 187.01/25.34  | | | REDUCE: (114), (218) imply:
% 187.01/25.34  | | |   (242)  p(all_18_7) = all_18_5
% 187.01/25.34  | | | 
% 187.01/25.34  | | | REDUCE: (181), (197) imply:
% 187.01/25.34  | | |   (243)  plus(all_69_4, all_18_16) = all_71_3
% 187.01/25.34  | | | 
% 187.01/25.34  | | | REDUCE: (164), (237) imply:
% 187.01/25.34  | | |   (244)  plus(all_18_5, all_18_7) = all_67_2
% 187.01/25.34  | | | 
% 187.01/25.34  | | | REDUCE: (163), (236) imply:
% 187.01/25.34  | | |   (245)  plus(all_18_4, all_18_9) = all_67_3
% 187.01/25.34  | | | 
% 187.01/25.34  | | | REDUCE: (106), (196) imply:
% 187.01/25.34  | | |   (246)  plus(all_18_15, all_18_4) = all_18_2
% 187.01/25.34  | | | 
% 187.01/25.34  | | | REDUCE: (120), (195) imply:
% 187.01/25.34  | | |   (247)  plus(all_18_16, all_18_5) = all_18_3
% 187.01/25.34  | | | 
% 187.01/25.34  | | | REDUCE: (179), (197) imply:
% 187.01/25.34  | | |   (248)  minus(all_69_4, all_18_16) = all_71_1
% 187.01/25.34  | | | 
% 187.01/25.34  | | | REDUCE: (162), (237) imply:
% 187.01/25.34  | | |   (249)  minus(all_18_5, all_18_7) = all_67_0
% 187.01/25.34  | | | 
% 187.01/25.34  | | | REDUCE: (161), (236) imply:
% 187.01/25.34  | | |   (250)  minus(all_18_4, all_18_9) = all_67_1
% 187.01/25.35  | | | 
% 187.01/25.35  | | | REDUCE: (135), (231) imply:
% 187.01/25.35  | | |   (251)  minus(all_18_9, all_57_0) = all_18_0
% 187.01/25.35  | | | 
% 187.01/25.35  | | | REDUCE: (130), (228) imply:
% 187.01/25.35  | | |   (252)  minus(all_18_7, all_55_0) = all_18_1
% 187.01/25.35  | | | 
% 187.01/25.35  | | | REDUCE: (177), (197) imply:
% 187.01/25.35  | | |   (253)  $i(all_69_4)
% 187.01/25.35  | | | 
% 187.01/25.35  | | | BETA: splitting (159) gives:
% 187.01/25.35  | | | 
% 187.01/25.35  | | | Case 1:
% 187.01/25.35  | | | | 
% 187.01/25.35  | | | |   (254)   ~ (all_65_2 = 0)
% 187.01/25.35  | | | | 
% 187.01/25.35  | | | | REDUCE: (225), (254) imply:
% 187.01/25.35  | | | |   (255)  $false
% 187.01/25.35  | | | | 
% 187.01/25.35  | | | | CLOSE: (255) is inconsistent.
% 187.01/25.35  | | | | 
% 187.01/25.35  | | | Case 2:
% 187.01/25.35  | | | | 
% 187.01/25.35  | | | |   (256)   ~ (all_65_3 = 0) | (all_65_0 = 0 & all_65_1 = 0)
% 187.01/25.35  | | | | 
% 187.01/25.35  | | | | BETA: splitting (187) gives:
% 187.01/25.35  | | | | 
% 187.01/25.35  | | | | Case 1:
% 187.01/25.35  | | | | | 
% 187.01/25.35  | | | | |   (257)   ~ (all_71_6 = 0)
% 187.01/25.35  | | | | | 
% 187.01/25.35  | | | | | REDUCE: (208), (257) imply:
% 187.01/25.35  | | | | |   (258)  $false
% 187.01/25.35  | | | | | 
% 187.01/25.35  | | | | | CLOSE: (258) is inconsistent.
% 187.01/25.35  | | | | | 
% 187.01/25.35  | | | | Case 2:
% 187.01/25.35  | | | | | 
% 187.01/25.35  | | | | |   (259)   ~ (all_71_7 = 0) |  ~ (all_71_8 = 0) | ( ~ (all_71_0 =
% 187.01/25.35  | | | | |              all_71_1) &  ~ (all_71_2 = all_71_3) &  ~ (all_71_4 =
% 187.01/25.35  | | | | |              all_71_5))
% 187.01/25.35  | | | | | 
% 187.01/25.35  | | | | | BETA: splitting (259) gives:
% 187.01/25.35  | | | | | 
% 187.01/25.35  | | | | | Case 1:
% 187.01/25.35  | | | | | | 
% 187.01/25.35  | | | | | |   (260)   ~ (all_71_7 = 0)
% 187.01/25.35  | | | | | | 
% 187.01/25.35  | | | | | | REDUCE: (206), (260) imply:
% 187.01/25.35  | | | | | |   (261)  $false
% 187.01/25.35  | | | | | | 
% 187.01/25.35  | | | | | | CLOSE: (261) is inconsistent.
% 187.01/25.35  | | | | | | 
% 187.01/25.35  | | | | | Case 2:
% 187.01/25.35  | | | | | | 
% 187.01/25.35  | | | | | |   (262)   ~ (all_71_8 = 0) | ( ~ (all_71_0 = all_71_1) &  ~
% 187.01/25.35  | | | | | |            (all_71_2 = all_71_3) &  ~ (all_71_4 = all_71_5))
% 187.01/25.35  | | | | | | 
% 187.01/25.35  | | | | | | BETA: splitting (256) gives:
% 187.01/25.35  | | | | | | 
% 187.01/25.35  | | | | | | Case 1:
% 187.01/25.35  | | | | | | | 
% 187.01/25.35  | | | | | | |   (263)   ~ (all_65_3 = 0)
% 187.01/25.35  | | | | | | | 
% 187.01/25.35  | | | | | | | REDUCE: (223), (263) imply:
% 187.01/25.35  | | | | | | |   (264)  $false
% 187.01/25.35  | | | | | | | 
% 187.01/25.35  | | | | | | | CLOSE: (264) is inconsistent.
% 187.01/25.35  | | | | | | | 
% 187.01/25.35  | | | | | | Case 2:
% 187.01/25.35  | | | | | | | 
% 187.01/25.35  | | | | | | |   (265)  all_65_0 = 0 & all_65_1 = 0
% 187.01/25.35  | | | | | | | 
% 187.01/25.35  | | | | | | | ALPHA: (265) implies:
% 187.01/25.35  | | | | | | |   (266)  all_65_0 = 0
% 187.01/25.35  | | | | | | | 
% 187.01/25.35  | | | | | | | COMBINE_EQS: (211), (266) imply:
% 187.01/25.35  | | | | | | |   (267)  all_67_6 = 0
% 187.01/25.35  | | | | | | | 
% 187.01/25.35  | | | | | | | BETA: splitting (262) gives:
% 187.01/25.35  | | | | | | | 
% 187.01/25.35  | | | | | | | Case 1:
% 187.01/25.35  | | | | | | | | 
% 187.01/25.35  | | | | | | | |   (268)   ~ (all_71_8 = 0)
% 187.01/25.35  | | | | | | | | 
% 187.01/25.35  | | | | | | | | REDUCE: (200), (268) imply:
% 187.01/25.35  | | | | | | | |   (269)  $false
% 187.01/25.35  | | | | | | | | 
% 187.01/25.35  | | | | | | | | CLOSE: (269) is inconsistent.
% 187.01/25.35  | | | | | | | | 
% 187.01/25.35  | | | | | | | Case 2:
% 187.01/25.35  | | | | | | | | 
% 187.01/25.35  | | | | | | | |   (270)   ~ (all_71_0 = all_71_1) &  ~ (all_71_2 = all_71_3) & 
% 187.01/25.35  | | | | | | | |          ~ (all_71_4 = all_71_5)
% 187.01/25.35  | | | | | | | | 
% 187.01/25.35  | | | | | | | | ALPHA: (270) implies:
% 187.01/25.35  | | | | | | | |   (271)   ~ (all_71_2 = all_71_3)
% 187.01/25.35  | | | | | | | |   (272)   ~ (all_71_0 = all_71_1)
% 187.01/25.35  | | | | | | | | 
% 187.01/25.35  | | | | | | | | BETA: splitting (154) gives:
% 187.01/25.35  | | | | | | | | 
% 187.01/25.35  | | | | | | | | Case 1:
% 187.01/25.35  | | | | | | | | | 
% 187.01/25.35  | | | | | | | | |   (273)   ~ (all_63_3 = 0)
% 187.01/25.35  | | | | | | | | | 
% 187.01/25.35  | | | | | | | | | REDUCE: (227), (273) imply:
% 187.01/25.35  | | | | | | | | |   (274)  $false
% 187.01/25.35  | | | | | | | | | 
% 187.01/25.35  | | | | | | | | | CLOSE: (274) is inconsistent.
% 187.01/25.35  | | | | | | | | | 
% 187.01/25.35  | | | | | | | | Case 2:
% 187.01/25.35  | | | | | | | | | 
% 187.01/25.35  | | | | | | | | |   (275)  all_63_0 = 0 & all_63_1 = 0
% 187.01/25.35  | | | | | | | | | 
% 187.01/25.35  | | | | | | | | | ALPHA: (275) implies:
% 187.01/25.35  | | | | | | | | |   (276)  all_63_1 = 0
% 187.01/25.35  | | | | | | | | |   (277)  all_63_0 = 0
% 187.01/25.35  | | | | | | | | | 
% 187.01/25.35  | | | | | | | | | REDUCE: (238), (277) imply:
% 187.01/25.35  | | | | | | | | |   (278)  le(all_18_7, n) = 0
% 187.01/25.35  | | | | | | | | | 
% 187.01/25.35  | | | | | | | | | REDUCE: (240), (276) imply:
% 187.01/25.35  | | | | | | | | |   (279)  le(all_13_0, all_18_7) = 0
% 187.01/25.35  | | | | | | | | | 
% 187.01/25.35  | | | | | | | | | GROUND_INST: instantiating (25) with all_69_0, all_71_1,
% 187.01/25.35  | | | | | | | | |              all_18_16, all_69_4, simplifying with (172), (248)
% 187.01/25.35  | | | | | | | | |              gives:
% 187.01/25.35  | | | | | | | | |   (280)  all_71_1 = all_69_0
% 187.01/25.35  | | | | | | | | | 
% 187.01/25.35  | | | | | | | | | GROUND_INST: instantiating (26) with all_69_2, all_71_3,
% 187.01/25.35  | | | | | | | | |              all_18_16, all_69_4, simplifying with (173), (243)
% 187.01/25.35  | | | | | | | | |              gives:
% 187.01/25.35  | | | | | | | | |   (281)  all_71_3 = all_69_2
% 187.01/25.35  | | | | | | | | | 
% 187.01/25.35  | | | | | | | | | GROUND_INST: instantiating (27) with all_59_1, all_61_1,
% 187.01/25.35  | | | | | | | | |              all_18_9, all_13_0, simplifying with (190), (241)
% 187.01/25.35  | | | | | | | | |              gives:
% 187.01/25.35  | | | | | | | | |   (282)  all_61_1 = all_59_1
% 187.01/25.35  | | | | | | | | | 
% 187.01/25.35  | | | | | | | | | GROUND_INST: instantiating (27) with all_59_0, all_61_0, n,
% 187.01/25.35  | | | | | | | | |              all_18_9, simplifying with (142), (239) gives:
% 187.01/25.35  | | | | | | | | |   (283)  all_61_0 = all_59_0
% 187.01/25.35  | | | | | | | | | 
% 187.01/25.35  | | | | | | | | | REDUCE: (272), (280) imply:
% 187.01/25.35  | | | | | | | | |   (284)   ~ (all_71_0 = all_69_0)
% 187.01/25.35  | | | | | | | | | 
% 187.01/25.35  | | | | | | | | | REDUCE: (271), (281) imply:
% 187.01/25.35  | | | | | | | | |   (285)   ~ (all_71_2 = all_69_2)
% 187.01/25.35  | | | | | | | | | 
% 187.01/25.35  | | | | | | | | | GROUND_INST: instantiating (7) with all_18_16, all_10_0,
% 187.01/25.35  | | | | | | | | |              all_18_7, simplifying with (29), (40), (95) gives:
% 187.01/25.35  | | | | | | | | |   (286)   ? [v0: $i] :  ? [v1: $i] : (perm(all_18_16) = v0 &
% 187.01/25.35  | | | | | | | | |            perm(all_10_0) = v1 & minus(v0, v1) = all_18_7 &
% 187.01/25.35  | | | | | | | | |            $i(v1) & $i(v0) & $i(all_18_7))
% 187.01/25.35  | | | | | | | | | 
% 187.01/25.35  | | | | | | | | | GROUND_INST: instantiating (7) with all_18_15, all_10_0,
% 187.01/25.35  | | | | | | | | |              all_18_9, simplifying with (29), (41), (99) gives:
% 187.01/25.35  | | | | | | | | |   (287)   ? [v0: $i] :  ? [v1: $i] : (perm(all_18_15) = v0 &
% 187.01/25.35  | | | | | | | | |            perm(all_10_0) = v1 & minus(v0, v1) = all_18_9 &
% 187.01/25.35  | | | | | | | | |            $i(v1) & $i(v0) & $i(all_18_9))
% 187.01/25.35  | | | | | | | | | 
% 187.01/25.35  | | | | | | | | | GROUND_INST: instantiating (7) with all_18_16, all_18_16,
% 187.01/25.35  | | | | | | | | |              all_47_0, simplifying with (40), (117) gives:
% 187.01/25.35  | | | | | | | | |   (288)   ? [v0: $i] :  ? [v1: $i] : (perm(all_18_16) = v1 &
% 187.01/25.35  | | | | | | | | |            perm(all_18_16) = v0 & minus(v0, v1) = all_47_0 &
% 187.01/25.35  | | | | | | | | |            $i(v1) & $i(v0) & $i(all_47_0))
% 187.01/25.35  | | | | | | | | | 
% 187.01/25.35  | | | | | | | | | GROUND_INST: instantiating (7) with all_18_15, all_18_15,
% 187.01/25.35  | | | | | | | | |              all_39_0, simplifying with (41), (103) gives:
% 187.01/25.35  | | | | | | | | |   (289)   ? [v0: $i] :  ? [v1: $i] : (perm(all_18_15) = v1 &
% 187.01/25.35  | | | | | | | | |            perm(all_18_15) = v0 & minus(v0, v1) = all_39_0 &
% 187.01/25.35  | | | | | | | | |            $i(v1) & $i(v0) & $i(all_39_0))
% 187.01/25.35  | | | | | | | | | 
% 187.01/25.35  | | | | | | | | | GROUND_INST: instantiating (15) with all_18_4, all_18_15,
% 187.01/25.35  | | | | | | | | |              all_18_9, all_57_0, all_18_0, simplifying with
% 187.01/25.35  | | | | | | | | |              (41), (48), (52), (54), (134), (251) gives:
% 187.01/25.35  | | | | | | | | |   (290)   ? [v0: $i] : (minus(all_18_4, all_18_9) = v0 &
% 187.01/25.35  | | | | | | | | |            minus(all_18_15, all_57_0) = v0 & $i(v0))
% 187.01/25.35  | | | | | | | | | 
% 187.01/25.35  | | | | | | | | | GROUND_INST: instantiating (15) with all_18_5, all_18_16,
% 187.01/25.35  | | | | | | | | |              all_18_7, all_55_0, all_18_1, simplifying with
% 187.01/25.35  | | | | | | | | |              (40), (50), (51), (53), (129), (252) gives:
% 187.01/25.35  | | | | | | | | |   (291)   ? [v0: $i] : (minus(all_18_5, all_18_7) = v0 &
% 187.01/25.35  | | | | | | | | |            minus(all_18_16, all_55_0) = v0 & $i(v0))
% 187.01/25.35  | | | | | | | | | 
% 187.01/25.35  | | | | | | | | | GROUND_INST: instantiating (7) with all_18_7, all_18_5,
% 187.01/25.35  | | | | | | | | |              all_67_0, simplifying with (50), (51), (249)
% 187.01/25.35  | | | | | | | | |              gives:
% 187.01/25.35  | | | | | | | | |   (292)   ? [v0: $i] :  ? [v1: $i] : (perm(all_18_5) = v1 &
% 187.01/25.35  | | | | | | | | |            perm(all_18_7) = v0 & minus(v0, v1) = all_67_0 &
% 187.01/25.35  | | | | | | | | |            $i(v1) & $i(v0) & $i(all_67_0))
% 187.01/25.35  | | | | | | | | | 
% 187.01/25.35  | | | | | | | | | GROUND_INST: instantiating (7) with all_18_5, all_18_5,
% 187.01/25.35  | | | | | | | | |              all_47_0, simplifying with (51), (118) gives:
% 187.01/25.36  | | | | | | | | |   (293)   ? [v0: $i] :  ? [v1: $i] : (perm(all_18_5) = v1 &
% 187.01/25.36  | | | | | | | | |            perm(all_18_5) = v0 & minus(v0, v1) = all_47_0 &
% 187.01/25.36  | | | | | | | | |            $i(v1) & $i(v0) & $i(all_47_0))
% 187.01/25.36  | | | | | | | | | 
% 187.01/25.36  | | | | | | | | | GROUND_INST: instantiating (16) with all_18_5, all_18_7,
% 187.01/25.36  | | | | | | | | |              all_18_4, all_18_9, all_67_0, all_67_1,
% 187.01/25.36  | | | | | | | | |              simplifying with (48), (50), (51), (52), (249),
% 187.01/25.36  | | | | | | | | |              (250) gives:
% 187.01/25.36  | | | | | | | | |   (294)  all_67_0 = all_67_1 |  ? [v0: $i] :  ? [v1: $i] : ( ~
% 187.01/25.36  | | | | | | | | |            (v1 = v0) & minus(all_18_5, all_18_4) = v0 &
% 187.01/25.36  | | | | | | | | |            minus(all_18_7, all_18_9) = v1 & $i(v1) & $i(v0))
% 187.01/25.36  | | | | | | | | | 
% 187.01/25.36  | | | | | | | | | GROUND_INST: instantiating (16) with all_18_4, all_18_9,
% 187.01/25.36  | | | | | | | | |              all_18_5, all_18_7, all_67_1, all_67_0,
% 187.01/25.36  | | | | | | | | |              simplifying with (48), (50), (51), (52), (249),
% 187.01/25.36  | | | | | | | | |              (250) gives:
% 187.01/25.36  | | | | | | | | |   (295)  all_67_0 = all_67_1 |  ? [v0: $i] :  ? [v1: $i] : ( ~
% 187.01/25.36  | | | | | | | | |            (v1 = v0) & minus(all_18_4, all_18_5) = v0 &
% 187.01/25.36  | | | | | | | | |            minus(all_18_9, all_18_7) = v1 & $i(v1) & $i(v0))
% 187.01/25.36  | | | | | | | | | 
% 187.01/25.36  | | | | | | | | | GROUND_INST: instantiating (7) with all_18_9, all_18_4,
% 187.01/25.36  | | | | | | | | |              all_67_1, simplifying with (48), (52), (250)
% 187.01/25.36  | | | | | | | | |              gives:
% 187.01/25.36  | | | | | | | | |   (296)   ? [v0: $i] :  ? [v1: $i] : (perm(all_18_4) = v1 &
% 187.01/25.36  | | | | | | | | |            perm(all_18_9) = v0 & minus(v0, v1) = all_67_1 &
% 187.01/25.36  | | | | | | | | |            $i(v1) & $i(v0) & $i(all_67_1))
% 187.01/25.36  | | | | | | | | | 
% 187.01/25.36  | | | | | | | | | GROUND_INST: instantiating (7) with all_18_4, all_18_4,
% 187.01/25.36  | | | | | | | | |              all_39_0, simplifying with (52), (104) gives:
% 187.01/25.36  | | | | | | | | |   (297)   ? [v0: $i] :  ? [v1: $i] : (perm(all_18_4) = v1 &
% 187.01/25.36  | | | | | | | | |            perm(all_18_4) = v0 & minus(v0, v1) = all_39_0 &
% 187.01/25.36  | | | | | | | | |            $i(v1) & $i(v0) & $i(all_39_0))
% 187.01/25.36  | | | | | | | | | 
% 187.01/25.36  | | | | | | | | | GROUND_INST: instantiating (7) with all_18_16, all_69_4,
% 187.01/25.36  | | | | | | | | |              all_69_0, simplifying with (40), (172), (253)
% 187.01/25.36  | | | | | | | | |              gives:
% 187.01/25.36  | | | | | | | | |   (298)   ? [v0: $i] :  ? [v1: $i] : (perm(all_69_4) = v1 &
% 187.01/25.36  | | | | | | | | |            perm(all_18_16) = v0 & minus(v0, v1) = all_69_0 &
% 187.01/25.36  | | | | | | | | |            $i(v1) & $i(v0) & $i(all_69_0))
% 187.01/25.36  | | | | | | | | | 
% 187.01/25.36  | | | | | | | | | GROUND_INST: instantiating (16) with all_69_4, all_18_16,
% 187.01/25.36  | | | | | | | | |              all_71_4, all_18_15, all_69_0, all_71_0,
% 187.01/25.36  | | | | | | | | |              simplifying with (40), (41), (172), (178), (180),
% 187.01/25.36  | | | | | | | | |              (253) gives:
% 187.01/25.36  | | | | | | | | |   (299)  all_71_0 = all_69_0 |  ? [v0: $i] :  ? [v1: $i] : ( ~
% 187.01/25.36  | | | | | | | | |            (v1 = v0) & minus(all_69_4, all_71_4) = v0 &
% 187.01/25.36  | | | | | | | | |            minus(all_18_16, all_18_15) = v1 & $i(v1) & $i(v0))
% 187.01/25.36  | | | | | | | | | 
% 187.01/25.36  | | | | | | | | | GROUND_INST: instantiating (16) with all_71_4, all_18_15,
% 187.01/25.36  | | | | | | | | |              all_69_4, all_18_16, all_71_0, all_69_0,
% 187.01/25.36  | | | | | | | | |              simplifying with (40), (41), (172), (178), (180),
% 187.01/25.36  | | | | | | | | |              (253) gives:
% 187.01/25.36  | | | | | | | | |   (300)  all_71_0 = all_69_0 |  ? [v0: $i] :  ? [v1: $i] : ( ~
% 187.01/25.36  | | | | | | | | |            (v1 = v0) & minus(all_71_4, all_69_4) = v0 &
% 187.01/25.36  | | | | | | | | |            minus(all_18_15, all_18_16) = v1 & $i(v1) & $i(v0))
% 187.01/25.36  | | | | | | | | | 
% 187.01/25.36  | | | | | | | | | GROUND_INST: instantiating (7) with all_18_15, all_71_4,
% 187.01/25.36  | | | | | | | | |              all_71_0, simplifying with (41), (178), (180)
% 187.01/25.36  | | | | | | | | |              gives:
% 187.01/25.36  | | | | | | | | |   (301)   ? [v0: $i] :  ? [v1: $i] : (perm(all_71_4) = v1 &
% 187.01/25.36  | | | | | | | | |            perm(all_18_15) = v0 & minus(v0, v1) = all_71_0 &
% 187.01/25.36  | | | | | | | | |            $i(v1) & $i(v0) & $i(all_71_0))
% 187.01/25.36  | | | | | | | | | 
% 187.01/25.36  | | | | | | | | | GROUND_INST: instantiating (14) with all_18_5, all_18_7,
% 187.01/25.36  | | | | | | | | |              all_18_4, all_18_9, all_67_2, all_67_3,
% 187.01/25.36  | | | | | | | | |              simplifying with (48), (50), (51), (52), (244),
% 187.01/25.36  | | | | | | | | |              (245) gives:
% 187.01/25.36  | | | | | | | | |   (302)  all_67_2 = all_67_3 |  ? [v0: $i] :  ? [v1: $i] : ( ~
% 187.01/25.36  | | | | | | | | |            (v1 = v0) & minus(all_18_5, all_18_4) = v0 &
% 187.01/25.36  | | | | | | | | |            minus(all_18_9, all_18_7) = v1 & $i(v1) & $i(v0))
% 187.01/25.36  | | | | | | | | | 
% 187.01/25.36  | | | | | | | | | GROUND_INST: instantiating (14) with all_18_4, all_18_9,
% 187.01/25.36  | | | | | | | | |              all_18_5, all_18_7, all_67_3, all_67_2,
% 187.01/25.36  | | | | | | | | |              simplifying with (48), (50), (51), (52), (244),
% 187.01/25.36  | | | | | | | | |              (245) gives:
% 187.01/25.36  | | | | | | | | |   (303)  all_67_2 = all_67_3 |  ? [v0: $i] :  ? [v1: $i] : ( ~
% 187.01/25.36  | | | | | | | | |            (v1 = v0) & minus(all_18_4, all_18_5) = v0 &
% 187.01/25.36  | | | | | | | | |            minus(all_18_7, all_18_9) = v1 & $i(v1) & $i(v0))
% 187.01/25.36  | | | | | | | | | 
% 187.01/25.36  | | | | | | | | | GROUND_INST: instantiating (14) with all_69_4, all_18_16,
% 187.01/25.36  | | | | | | | | |              all_71_4, all_18_15, all_69_2, all_71_2,
% 187.01/25.36  | | | | | | | | |              simplifying with (40), (41), (173), (178), (182),
% 187.01/25.36  | | | | | | | | |              (253) gives:
% 187.01/25.36  | | | | | | | | |   (304)  all_71_2 = all_69_2 |  ? [v0: $i] :  ? [v1: $i] : ( ~
% 187.01/25.36  | | | | | | | | |            (v1 = v0) & minus(all_69_4, all_71_4) = v0 &
% 187.01/25.36  | | | | | | | | |            minus(all_18_15, all_18_16) = v1 & $i(v1) & $i(v0))
% 187.01/25.36  | | | | | | | | | 
% 187.01/25.36  | | | | | | | | | GROUND_INST: instantiating (14) with all_71_4, all_18_15,
% 187.01/25.36  | | | | | | | | |              all_69_4, all_18_16, all_71_2, all_69_2,
% 187.01/25.36  | | | | | | | | |              simplifying with (40), (41), (173), (178), (182),
% 187.01/25.36  | | | | | | | | |              (253) gives:
% 187.01/25.36  | | | | | | | | |   (305)  all_71_2 = all_69_2 |  ? [v0: $i] :  ? [v1: $i] : ( ~
% 187.01/25.36  | | | | | | | | |            (v1 = v0) & minus(all_71_4, all_69_4) = v0 &
% 187.01/25.36  | | | | | | | | |            minus(all_18_16, all_18_15) = v1 & $i(v1) & $i(v0))
% 187.01/25.36  | | | | | | | | | 
% 187.01/25.36  | | | | | | | | | GROUND_INST: instantiating (10) with all_13_0, all_18_16,
% 187.01/25.36  | | | | | | | | |              all_18_15, all_59_3, simplifying with (40), (41),
% 187.01/25.36  | | | | | | | | |              (76), (77), (192) gives:
% 187.01/25.36  | | | | | | | | |   (306)  all_59_3 = 0 |  ? [v0: int] : ( ~ (v0 = 0) &
% 187.01/25.36  | | | | | | | | |            le(all_18_16, all_18_15) = v0)
% 187.01/25.36  | | | | | | | | | 
% 187.01/25.36  | | | | | | | | | GROUND_INST: instantiating (71) with n0, all_18_7, all_13_0,
% 187.01/25.36  | | | | | | | | |              simplifying with (4), (32), (50), (279) gives:
% 187.01/25.36  | | | | | | | | |   (307)   ? [v0: any] :  ? [v1: any] :  ? [v2: any] :  ? [v3:
% 187.01/25.36  | | | | | | | | |            $i] :  ? [v4: $i] :  ? [v5: $i] :  ? [v6: $i] :  ?
% 187.01/25.36  | | | | | | | | |          [v7: $i] :  ? [v8: $i] : (le(all_18_7, n) = v2 &
% 187.01/25.36  | | | | | | | | |            le(all_13_0, n0) = v0 & le(n0, n) = v1 &
% 187.01/25.36  | | | | | | | | |            p(all_18_7) = v4 & p(n0) = v3 & plus(v4, all_18_7)
% 187.01/25.36  | | | | | | | | |            = v6 & plus(v3, n0) = v5 & minus(v4, all_18_7) = v8
% 187.01/25.36  | | | | | | | | |            & minus(v3, n0) = v7 & $i(v8) & $i(v7) & $i(v6) &
% 187.01/25.36  | | | | | | | | |            $i(v5) & $i(v4) & $i(v3) & ( ~ (v2 = 0) |  ~ (v1 =
% 187.01/25.36  | | | | | | | | |                0) |  ~ (v0 = 0) | ( ~ (v8 = v7) &  ~ (v6 = v5)
% 187.01/25.36  | | | | | | | | |                &  ~ (v4 = v3))))
% 187.01/25.36  | | | | | | | | | 
% 187.01/25.36  | | | | | | | | | GROUND_INST: instantiating (9) with all_18_16, all_18_12,
% 187.01/25.36  | | | | | | | | |              all_18_15, simplifying with (40), (41), (47),
% 187.01/25.36  | | | | | | | | |              (60), (89) gives:
% 187.01/25.36  | | | | | | | | |   (308)  le(all_18_16, all_18_15) = 0
% 187.01/25.36  | | | | | | | | | 
% 187.01/25.37  | | | | | | | | | GROUND_INST: instantiating (9) with all_13_0, all_18_16,
% 187.01/25.37  | | | | | | | | |              all_18_12, simplifying with (40), (47), (76),
% 187.01/25.37  | | | | | | | | |              (77), (89) gives:
% 187.01/25.37  | | | | | | | | |   (309)  le(all_13_0, all_18_12) = 0
% 187.01/25.37  | | | | | | | | | 
% 187.01/25.37  | | | | | | | | | GROUND_INST: instantiating (37) with all_18_12, simplifying
% 187.01/25.37  | | | | | | | | |              with (47), (86) gives:
% 187.01/25.37  | | | | | | | | |   (310)   ? [v0: any] :  ? [v1: $i] :  ? [v2: any] :  ? [v3:
% 187.01/25.37  | | | | | | | | |            any] : (perm(all_18_12) = v1 & le(v1, n) = v3 &
% 187.01/25.37  | | | | | | | | |            le(all_15_0, v1) = v2 & le(all_15_0, all_18_12) =
% 187.01/25.37  | | | | | | | | |            v0 & $i(v1) & ( ~ (v0 = 0) | (v3 = 0 & v2 = 0)))
% 187.01/25.37  | | | | | | | | | 
% 187.01/25.37  | | | | | | | | | GROUND_INST: instantiating (10) with all_18_9, all_18_8, n,
% 187.01/25.37  | | | | | | | | |              all_59_0, simplifying with (5), (48), (49), (91),
% 187.01/25.37  | | | | | | | | |              (142) gives:
% 187.01/25.37  | | | | | | | | |   (311)  all_59_0 = 0 |  ? [v0: int] : ( ~ (v0 = 0) &
% 187.01/25.37  | | | | | | | | |            le(all_18_8, n) = v0)
% 187.01/25.37  | | | | | | | | | 
% 187.01/25.37  | | | | | | | | | GROUND_INST: instantiating (9) with all_18_8, all_18_7, n,
% 187.01/25.37  | | | | | | | | |              simplifying with (5), (49), (50), (61), (278)
% 187.01/25.37  | | | | | | | | |              gives:
% 187.01/25.37  | | | | | | | | |   (312)  le(all_18_8, n) = 0
% 187.01/25.37  | | | | | | | | | 
% 187.01/25.37  | | | | | | | | | DELTA: instantiating (291) with fresh symbol all_131_0 gives:
% 187.01/25.37  | | | | | | | | |   (313)  minus(all_18_5, all_18_7) = all_131_0 &
% 187.01/25.37  | | | | | | | | |          minus(all_18_16, all_55_0) = all_131_0 &
% 187.01/25.37  | | | | | | | | |          $i(all_131_0)
% 187.01/25.37  | | | | | | | | | 
% 187.01/25.37  | | | | | | | | | ALPHA: (313) implies:
% 187.01/25.37  | | | | | | | | |   (314)  minus(all_18_16, all_55_0) = all_131_0
% 187.01/25.37  | | | | | | | | |   (315)  minus(all_18_5, all_18_7) = all_131_0
% 187.01/25.37  | | | | | | | | | 
% 187.01/25.37  | | | | | | | | | DELTA: instantiating (290) with fresh symbol all_145_0 gives:
% 187.01/25.37  | | | | | | | | |   (316)  minus(all_18_4, all_18_9) = all_145_0 &
% 187.01/25.37  | | | | | | | | |          minus(all_18_15, all_57_0) = all_145_0 &
% 187.01/25.37  | | | | | | | | |          $i(all_145_0)
% 187.01/25.37  | | | | | | | | | 
% 187.01/25.37  | | | | | | | | | ALPHA: (316) implies:
% 187.01/25.37  | | | | | | | | |   (317)  minus(all_18_15, all_57_0) = all_145_0
% 187.01/25.37  | | | | | | | | |   (318)  minus(all_18_4, all_18_9) = all_145_0
% 187.01/25.37  | | | | | | | | | 
% 187.01/25.37  | | | | | | | | | DELTA: instantiating (297) with fresh symbols all_181_0,
% 187.01/25.37  | | | | | | | | |        all_181_1 gives:
% 187.01/25.37  | | | | | | | | |   (319)  perm(all_18_4) = all_181_0 & perm(all_18_4) =
% 187.01/25.37  | | | | | | | | |          all_181_1 & minus(all_181_1, all_181_0) = all_39_0 &
% 187.01/25.37  | | | | | | | | |          $i(all_181_0) & $i(all_181_1) & $i(all_39_0)
% 187.01/25.37  | | | | | | | | | 
% 187.01/25.37  | | | | | | | | | ALPHA: (319) implies:
% 187.01/25.37  | | | | | | | | |   (320)  $i(all_181_1)
% 187.01/25.37  | | | | | | | | |   (321)  perm(all_18_4) = all_181_1
% 187.01/25.37  | | | | | | | | |   (322)  perm(all_18_4) = all_181_0
% 187.01/25.37  | | | | | | | | | 
% 187.01/25.37  | | | | | | | | | DELTA: instantiating (289) with fresh symbols all_183_0,
% 187.01/25.37  | | | | | | | | |        all_183_1 gives:
% 187.01/25.37  | | | | | | | | |   (323)  perm(all_18_15) = all_183_0 & perm(all_18_15) =
% 187.01/25.37  | | | | | | | | |          all_183_1 & minus(all_183_1, all_183_0) = all_39_0 &
% 187.01/25.37  | | | | | | | | |          $i(all_183_0) & $i(all_183_1) & $i(all_39_0)
% 187.01/25.37  | | | | | | | | | 
% 187.01/25.37  | | | | | | | | | ALPHA: (323) implies:
% 187.01/25.37  | | | | | | | | |   (324)  perm(all_18_15) = all_183_1
% 187.01/25.37  | | | | | | | | |   (325)  perm(all_18_15) = all_183_0
% 187.01/25.37  | | | | | | | | | 
% 187.01/25.37  | | | | | | | | | DELTA: instantiating (301) with fresh symbols all_185_0,
% 187.01/25.37  | | | | | | | | |        all_185_1 gives:
% 187.01/25.37  | | | | | | | | |   (326)  perm(all_71_4) = all_185_0 & perm(all_18_15) =
% 187.01/25.37  | | | | | | | | |          all_185_1 & minus(all_185_1, all_185_0) = all_71_0 &
% 187.01/25.37  | | | | | | | | |          $i(all_185_0) & $i(all_185_1) & $i(all_71_0)
% 187.01/25.37  | | | | | | | | | 
% 187.01/25.37  | | | | | | | | | ALPHA: (326) implies:
% 187.01/25.37  | | | | | | | | |   (327)  perm(all_18_15) = all_185_1
% 187.01/25.37  | | | | | | | | | 
% 187.01/25.37  | | | | | | | | | DELTA: instantiating (292) with fresh symbols all_187_0,
% 187.01/25.37  | | | | | | | | |        all_187_1 gives:
% 187.01/25.37  | | | | | | | | |   (328)  perm(all_18_5) = all_187_0 & perm(all_18_7) =
% 187.01/25.37  | | | | | | | | |          all_187_1 & minus(all_187_1, all_187_0) = all_67_0 &
% 187.01/25.37  | | | | | | | | |          $i(all_187_0) & $i(all_187_1) & $i(all_67_0)
% 187.01/25.37  | | | | | | | | | 
% 187.01/25.37  | | | | | | | | | ALPHA: (328) implies:
% 187.01/25.37  | | | | | | | | |   (329)  $i(all_187_0)
% 187.01/25.37  | | | | | | | | |   (330)  perm(all_18_5) = all_187_0
% 187.01/25.37  | | | | | | | | | 
% 187.01/25.37  | | | | | | | | | DELTA: instantiating (298) with fresh symbols all_189_0,
% 187.01/25.37  | | | | | | | | |        all_189_1 gives:
% 187.01/25.37  | | | | | | | | |   (331)  perm(all_69_4) = all_189_0 & perm(all_18_16) =
% 187.01/25.37  | | | | | | | | |          all_189_1 & minus(all_189_1, all_189_0) = all_69_0 &
% 187.01/25.37  | | | | | | | | |          $i(all_189_0) & $i(all_189_1) & $i(all_69_0)
% 187.01/25.37  | | | | | | | | | 
% 187.01/25.37  | | | | | | | | | ALPHA: (331) implies:
% 187.01/25.37  | | | | | | | | |   (332)  perm(all_18_16) = all_189_1
% 187.01/25.37  | | | | | | | | | 
% 187.01/25.37  | | | | | | | | | DELTA: instantiating (296) with fresh symbols all_191_0,
% 187.01/25.37  | | | | | | | | |        all_191_1 gives:
% 187.01/25.37  | | | | | | | | |   (333)  perm(all_18_4) = all_191_0 & perm(all_18_9) =
% 187.01/25.37  | | | | | | | | |          all_191_1 & minus(all_191_1, all_191_0) = all_67_1 &
% 187.01/25.37  | | | | | | | | |          $i(all_191_0) & $i(all_191_1) & $i(all_67_1)
% 187.01/25.37  | | | | | | | | | 
% 187.01/25.37  | | | | | | | | | ALPHA: (333) implies:
% 187.01/25.37  | | | | | | | | |   (334)  perm(all_18_4) = all_191_0
% 187.01/25.37  | | | | | | | | | 
% 187.01/25.37  | | | | | | | | | DELTA: instantiating (288) with fresh symbols all_195_0,
% 187.01/25.37  | | | | | | | | |        all_195_1 gives:
% 187.01/25.37  | | | | | | | | |   (335)  perm(all_18_16) = all_195_0 & perm(all_18_16) =
% 187.01/25.37  | | | | | | | | |          all_195_1 & minus(all_195_1, all_195_0) = all_47_0 &
% 187.01/25.37  | | | | | | | | |          $i(all_195_0) & $i(all_195_1) & $i(all_47_0)
% 187.01/25.37  | | | | | | | | | 
% 187.01/25.37  | | | | | | | | | ALPHA: (335) implies:
% 187.01/25.37  | | | | | | | | |   (336)  perm(all_18_16) = all_195_1
% 187.01/25.37  | | | | | | | | |   (337)  perm(all_18_16) = all_195_0
% 187.01/25.37  | | | | | | | | | 
% 187.01/25.37  | | | | | | | | | DELTA: instantiating (287) with fresh symbols all_197_0,
% 187.01/25.37  | | | | | | | | |        all_197_1 gives:
% 187.01/25.37  | | | | | | | | |   (338)  perm(all_18_15) = all_197_1 & perm(all_10_0) =
% 187.01/25.37  | | | | | | | | |          all_197_0 & minus(all_197_1, all_197_0) = all_18_9 &
% 187.01/25.37  | | | | | | | | |          $i(all_197_0) & $i(all_197_1) & $i(all_18_9)
% 187.01/25.37  | | | | | | | | | 
% 187.01/25.37  | | | | | | | | | ALPHA: (338) implies:
% 187.01/25.37  | | | | | | | | |   (339)  perm(all_18_15) = all_197_1
% 187.01/25.37  | | | | | | | | | 
% 187.01/25.37  | | | | | | | | | DELTA: instantiating (293) with fresh symbols all_201_0,
% 187.01/25.37  | | | | | | | | |        all_201_1 gives:
% 187.01/25.37  | | | | | | | | |   (340)  perm(all_18_5) = all_201_0 & perm(all_18_5) =
% 187.01/25.37  | | | | | | | | |          all_201_1 & minus(all_201_1, all_201_0) = all_47_0 &
% 187.01/25.37  | | | | | | | | |          $i(all_201_0) & $i(all_201_1) & $i(all_47_0)
% 187.01/25.37  | | | | | | | | | 
% 187.01/25.37  | | | | | | | | | ALPHA: (340) implies:
% 187.01/25.37  | | | | | | | | |   (341)  perm(all_18_5) = all_201_1
% 187.01/25.37  | | | | | | | | |   (342)  perm(all_18_5) = all_201_0
% 187.01/25.37  | | | | | | | | | 
% 187.01/25.37  | | | | | | | | | DELTA: instantiating (286) with fresh symbols all_203_0,
% 187.01/25.37  | | | | | | | | |        all_203_1 gives:
% 187.01/25.37  | | | | | | | | |   (343)  perm(all_18_16) = all_203_1 & perm(all_10_0) =
% 187.01/25.37  | | | | | | | | |          all_203_0 & minus(all_203_1, all_203_0) = all_18_7 &
% 187.01/25.37  | | | | | | | | |          $i(all_203_0) & $i(all_203_1) & $i(all_18_7)
% 187.01/25.37  | | | | | | | | | 
% 187.01/25.37  | | | | | | | | | ALPHA: (343) implies:
% 187.01/25.37  | | | | | | | | |   (344)  perm(all_18_16) = all_203_1
% 187.01/25.37  | | | | | | | | | 
% 187.01/25.37  | | | | | | | | | DELTA: instantiating (310) with fresh symbols all_213_0,
% 187.01/25.37  | | | | | | | | |        all_213_1, all_213_2, all_213_3 gives:
% 187.01/25.37  | | | | | | | | |   (345)  perm(all_18_12) = all_213_2 & le(all_213_2, n) =
% 187.01/25.37  | | | | | | | | |          all_213_0 & le(all_15_0, all_213_2) = all_213_1 &
% 187.01/25.37  | | | | | | | | |          le(all_15_0, all_18_12) = all_213_3 & $i(all_213_2) &
% 187.01/25.37  | | | | | | | | |          ( ~ (all_213_3 = 0) | (all_213_0 = 0 & all_213_1 =
% 187.01/25.37  | | | | | | | | |              0))
% 187.01/25.37  | | | | | | | | | 
% 187.01/25.37  | | | | | | | | | ALPHA: (345) implies:
% 187.01/25.37  | | | | | | | | |   (346)  le(all_15_0, all_18_12) = all_213_3
% 187.01/25.37  | | | | | | | | |   (347)   ~ (all_213_3 = 0) | (all_213_0 = 0 & all_213_1 = 0)
% 187.01/25.37  | | | | | | | | | 
% 187.01/25.37  | | | | | | | | | DELTA: instantiating (307) with fresh symbols all_217_0,
% 187.01/25.37  | | | | | | | | |        all_217_1, all_217_2, all_217_3, all_217_4, all_217_5,
% 187.01/25.37  | | | | | | | | |        all_217_6, all_217_7, all_217_8 gives:
% 187.01/25.37  | | | | | | | | |   (348)  le(all_18_7, n) = all_217_6 & le(all_13_0, n0) =
% 187.01/25.37  | | | | | | | | |          all_217_8 & le(n0, n) = all_217_7 & p(all_18_7) =
% 187.01/25.37  | | | | | | | | |          all_217_4 & p(n0) = all_217_5 & plus(all_217_4,
% 187.01/25.37  | | | | | | | | |            all_18_7) = all_217_2 & plus(all_217_5, n0) =
% 187.01/25.37  | | | | | | | | |          all_217_3 & minus(all_217_4, all_18_7) = all_217_0 &
% 187.01/25.37  | | | | | | | | |          minus(all_217_5, n0) = all_217_1 & $i(all_217_0) &
% 187.01/25.37  | | | | | | | | |          $i(all_217_1) & $i(all_217_2) & $i(all_217_3) &
% 187.01/25.37  | | | | | | | | |          $i(all_217_4) & $i(all_217_5) & ( ~ (all_217_6 = 0) |
% 187.01/25.37  | | | | | | | | |             ~ (all_217_7 = 0) |  ~ (all_217_8 = 0) | ( ~
% 187.01/25.37  | | | | | | | | |              (all_217_0 = all_217_1) &  ~ (all_217_2 =
% 187.01/25.37  | | | | | | | | |                all_217_3) &  ~ (all_217_4 = all_217_5)))
% 187.01/25.37  | | | | | | | | | 
% 187.01/25.37  | | | | | | | | | ALPHA: (348) implies:
% 187.01/25.37  | | | | | | | | |   (349)  $i(all_217_4)
% 187.01/25.37  | | | | | | | | |   (350)  p(all_18_7) = all_217_4
% 187.01/25.37  | | | | | | | | | 
% 187.01/25.37  | | | | | | | | | REDUCE: (75), (346) imply:
% 187.01/25.37  | | | | | | | | |   (351)  le(all_13_0, all_18_12) = all_213_3
% 187.01/25.37  | | | | | | | | | 
% 187.01/25.37  | | | | | | | | | BETA: splitting (299) gives:
% 187.01/25.37  | | | | | | | | | 
% 187.01/25.37  | | | | | | | | | Case 1:
% 187.01/25.37  | | | | | | | | | | 
% 187.01/25.37  | | | | | | | | | |   (352)  all_71_0 = all_69_0
% 187.01/25.37  | | | | | | | | | | 
% 187.01/25.37  | | | | | | | | | | REDUCE: (284), (352) imply:
% 187.01/25.37  | | | | | | | | | |   (353)  $false
% 187.01/25.37  | | | | | | | | | | 
% 187.01/25.37  | | | | | | | | | | CLOSE: (353) is inconsistent.
% 187.01/25.37  | | | | | | | | | | 
% 187.01/25.37  | | | | | | | | | Case 2:
% 187.01/25.37  | | | | | | | | | | 
% 187.01/25.38  | | | | | | | | | |   (354)   ? [v0: $i] :  ? [v1: $i] : ( ~ (v1 = v0) &
% 187.01/25.38  | | | | | | | | | |            minus(all_69_4, all_71_4) = v0 & minus(all_18_16,
% 187.01/25.38  | | | | | | | | | |              all_18_15) = v1 & $i(v1) & $i(v0))
% 187.01/25.38  | | | | | | | | | | 
% 187.01/25.38  | | | | | | | | | | DELTA: instantiating (354) with fresh symbols all_232_0,
% 187.01/25.38  | | | | | | | | | |        all_232_1 gives:
% 187.01/25.38  | | | | | | | | | |   (355)   ~ (all_232_0 = all_232_1) & minus(all_69_4,
% 187.01/25.38  | | | | | | | | | |            all_71_4) = all_232_1 & minus(all_18_16,
% 187.01/25.38  | | | | | | | | | |            all_18_15) = all_232_0 & $i(all_232_0) &
% 187.01/25.38  | | | | | | | | | |          $i(all_232_1)
% 187.01/25.38  | | | | | | | | | | 
% 187.01/25.38  | | | | | | | | | | ALPHA: (355) implies:
% 187.01/25.38  | | | | | | | | | |   (356)  minus(all_18_16, all_18_15) = all_232_0
% 187.01/25.38  | | | | | | | | | | 
% 187.01/25.38  | | | | | | | | | | BETA: splitting (311) gives:
% 187.01/25.38  | | | | | | | | | | 
% 187.01/25.38  | | | | | | | | | | Case 1:
% 187.01/25.38  | | | | | | | | | | | 
% 187.01/25.38  | | | | | | | | | | |   (357)  all_59_0 = 0
% 187.01/25.38  | | | | | | | | | | | 
% 187.01/25.38  | | | | | | | | | | | COMBINE_EQS: (210), (357) imply:
% 187.01/25.38  | | | | | | | | | | |   (358)  all_67_7 = 0
% 187.01/25.38  | | | | | | | | | | | 
% 187.01/25.38  | | | | | | | | | | | BETA: splitting (306) gives:
% 187.01/25.38  | | | | | | | | | | | 
% 187.01/25.38  | | | | | | | | | | | Case 1:
% 187.01/25.38  | | | | | | | | | | | | 
% 187.01/25.38  | | | | | | | | | | | |   (359)  all_59_3 = 0
% 187.01/25.38  | | | | | | | | | | | | 
% 187.01/25.38  | | | | | | | | | | | | COMBINE_EQS: (203), (359) imply:
% 187.01/25.38  | | | | | | | | | | | |   (360)  all_61_3 = 0
% 187.01/25.38  | | | | | | | | | | | | 
% 187.01/25.38  | | | | | | | | | | | | BETA: splitting (304) gives:
% 187.01/25.38  | | | | | | | | | | | | 
% 187.01/25.38  | | | | | | | | | | | | Case 1:
% 187.01/25.38  | | | | | | | | | | | | | 
% 187.01/25.38  | | | | | | | | | | | | |   (361)  all_71_2 = all_69_2
% 187.01/25.38  | | | | | | | | | | | | | 
% 187.01/25.38  | | | | | | | | | | | | | REDUCE: (285), (361) imply:
% 187.01/25.38  | | | | | | | | | | | | |   (362)  $false
% 187.01/25.38  | | | | | | | | | | | | | 
% 187.01/25.38  | | | | | | | | | | | | | CLOSE: (362) is inconsistent.
% 187.01/25.38  | | | | | | | | | | | | | 
% 187.01/25.38  | | | | | | | | | | | | Case 2:
% 187.01/25.38  | | | | | | | | | | | | | 
% 187.01/25.38  | | | | | | | | | | | | |   (363)   ? [v0: $i] :  ? [v1: $i] : ( ~ (v1 = v0) &
% 187.01/25.38  | | | | | | | | | | | | |            minus(all_69_4, all_71_4) = v0 &
% 187.01/25.38  | | | | | | | | | | | | |            minus(all_18_15, all_18_16) = v1 & $i(v1) &
% 187.01/25.38  | | | | | | | | | | | | |            $i(v0))
% 187.01/25.38  | | | | | | | | | | | | | 
% 187.01/25.38  | | | | | | | | | | | | | DELTA: instantiating (363) with fresh symbols all_250_0,
% 187.01/25.38  | | | | | | | | | | | | |        all_250_1 gives:
% 187.01/25.38  | | | | | | | | | | | | |   (364)   ~ (all_250_0 = all_250_1) & minus(all_69_4,
% 187.01/25.38  | | | | | | | | | | | | |            all_71_4) = all_250_1 & minus(all_18_15,
% 187.01/25.38  | | | | | | | | | | | | |            all_18_16) = all_250_0 & $i(all_250_0) &
% 187.01/25.38  | | | | | | | | | | | | |          $i(all_250_1)
% 187.01/25.38  | | | | | | | | | | | | | 
% 187.01/25.38  | | | | | | | | | | | | | ALPHA: (364) implies:
% 187.01/25.38  | | | | | | | | | | | | |   (365)  minus(all_18_15, all_18_16) = all_250_0
% 187.01/25.38  | | | | | | | | | | | | | 
% 187.01/25.38  | | | | | | | | | | | | | BETA: splitting (305) gives:
% 187.01/25.38  | | | | | | | | | | | | | 
% 187.01/25.38  | | | | | | | | | | | | | Case 1:
% 187.01/25.38  | | | | | | | | | | | | | | 
% 187.01/25.38  | | | | | | | | | | | | | |   (366)  all_71_2 = all_69_2
% 187.01/25.38  | | | | | | | | | | | | | | 
% 187.01/25.38  | | | | | | | | | | | | | | REDUCE: (285), (366) imply:
% 187.01/25.38  | | | | | | | | | | | | | |   (367)  $false
% 187.01/25.38  | | | | | | | | | | | | | | 
% 187.01/25.38  | | | | | | | | | | | | | | CLOSE: (367) is inconsistent.
% 187.01/25.38  | | | | | | | | | | | | | | 
% 187.01/25.38  | | | | | | | | | | | | | Case 2:
% 187.01/25.38  | | | | | | | | | | | | | | 
% 187.01/25.38  | | | | | | | | | | | | | |   (368)   ? [v0: $i] :  ? [v1: $i] : ( ~ (v1 = v0) &
% 187.01/25.38  | | | | | | | | | | | | | |            minus(all_71_4, all_69_4) = v0 &
% 187.01/25.38  | | | | | | | | | | | | | |            minus(all_18_16, all_18_15) = v1 & $i(v1) &
% 187.01/25.38  | | | | | | | | | | | | | |            $i(v0))
% 187.01/25.38  | | | | | | | | | | | | | | 
% 187.01/25.38  | | | | | | | | | | | | | | DELTA: instantiating (368) with fresh symbols all_255_0,
% 187.01/25.38  | | | | | | | | | | | | | |        all_255_1 gives:
% 187.01/25.38  | | | | | | | | | | | | | |   (369)   ~ (all_255_0 = all_255_1) & minus(all_71_4,
% 187.01/25.38  | | | | | | | | | | | | | |            all_69_4) = all_255_1 & minus(all_18_16,
% 187.01/25.38  | | | | | | | | | | | | | |            all_18_15) = all_255_0 & $i(all_255_0) &
% 187.01/25.38  | | | | | | | | | | | | | |          $i(all_255_1)
% 187.01/25.38  | | | | | | | | | | | | | | 
% 187.01/25.38  | | | | | | | | | | | | | | ALPHA: (369) implies:
% 187.01/25.38  | | | | | | | | | | | | | |   (370)  minus(all_18_16, all_18_15) = all_255_0
% 187.01/25.38  | | | | | | | | | | | | | | 
% 187.01/25.38  | | | | | | | | | | | | | | BETA: splitting (300) gives:
% 187.01/25.38  | | | | | | | | | | | | | | 
% 187.01/25.38  | | | | | | | | | | | | | | Case 1:
% 187.01/25.38  | | | | | | | | | | | | | | | 
% 187.01/25.38  | | | | | | | | | | | | | | |   (371)  all_71_0 = all_69_0
% 187.01/25.38  | | | | | | | | | | | | | | | 
% 187.01/25.38  | | | | | | | | | | | | | | | REDUCE: (284), (371) imply:
% 187.01/25.38  | | | | | | | | | | | | | | |   (372)  $false
% 187.01/25.38  | | | | | | | | | | | | | | | 
% 187.01/25.38  | | | | | | | | | | | | | | | CLOSE: (372) is inconsistent.
% 187.01/25.38  | | | | | | | | | | | | | | | 
% 187.01/25.38  | | | | | | | | | | | | | | Case 2:
% 187.01/25.38  | | | | | | | | | | | | | | | 
% 187.01/25.38  | | | | | | | | | | | | | | |   (373)   ? [v0: $i] :  ? [v1: $i] : ( ~ (v1 = v0) &
% 187.01/25.38  | | | | | | | | | | | | | | |            minus(all_71_4, all_69_4) = v0 &
% 187.01/25.38  | | | | | | | | | | | | | | |            minus(all_18_15, all_18_16) = v1 & $i(v1) &
% 187.01/25.38  | | | | | | | | | | | | | | |            $i(v0))
% 187.01/25.38  | | | | | | | | | | | | | | | 
% 187.01/25.38  | | | | | | | | | | | | | | | DELTA: instantiating (373) with fresh symbols all_265_0,
% 187.01/25.38  | | | | | | | | | | | | | | |        all_265_1 gives:
% 187.01/25.38  | | | | | | | | | | | | | | |   (374)   ~ (all_265_0 = all_265_1) & minus(all_71_4,
% 187.01/25.38  | | | | | | | | | | | | | | |            all_69_4) = all_265_1 & minus(all_18_15,
% 187.01/25.38  | | | | | | | | | | | | | | |            all_18_16) = all_265_0 & $i(all_265_0) &
% 187.01/25.38  | | | | | | | | | | | | | | |          $i(all_265_1)
% 187.01/25.38  | | | | | | | | | | | | | | | 
% 187.01/25.38  | | | | | | | | | | | | | | | ALPHA: (374) implies:
% 187.01/25.38  | | | | | | | | | | | | | | |   (375)  minus(all_18_15, all_18_16) = all_265_0
% 187.01/25.38  | | | | | | | | | | | | | | | 
% 187.01/25.38  | | | | | | | | | | | | | | | BETA: splitting (148) gives:
% 187.01/25.38  | | | | | | | | | | | | | | | 
% 187.01/25.38  | | | | | | | | | | | | | | | Case 1:
% 187.01/25.38  | | | | | | | | | | | | | | | | 
% 187.01/25.38  | | | | | | | | | | | | | | | |   (376)   ~ (all_61_3 = 0)
% 187.01/25.38  | | | | | | | | | | | | | | | | 
% 187.01/25.38  | | | | | | | | | | | | | | | | REDUCE: (360), (376) imply:
% 187.01/25.38  | | | | | | | | | | | | | | | |   (377)  $false
% 187.01/25.38  | | | | | | | | | | | | | | | | 
% 187.01/25.38  | | | | | | | | | | | | | | | | CLOSE: (377) is inconsistent.
% 187.01/25.38  | | | | | | | | | | | | | | | | 
% 187.01/25.38  | | | | | | | | | | | | | | | Case 2:
% 187.01/25.38  | | | | | | | | | | | | | | | | 
% 187.01/25.38  | | | | | | | | | | | | | | | |   (378)  all_61_0 = 0 & all_61_1 = 0
% 187.01/25.38  | | | | | | | | | | | | | | | | 
% 187.01/25.38  | | | | | | | | | | | | | | | | ALPHA: (378) implies:
% 187.01/25.38  | | | | | | | | | | | | | | | |   (379)  all_61_1 = 0
% 187.01/25.38  | | | | | | | | | | | | | | | | 
% 187.01/25.38  | | | | | | | | | | | | | | | | COMBINE_EQS: (282), (379) imply:
% 187.01/25.38  | | | | | | | | | | | | | | | |   (380)  all_59_1 = 0
% 187.01/25.38  | | | | | | | | | | | | | | | | 
% 187.01/25.38  | | | | | | | | | | | | | | | | COMBINE_EQS: (204), (380) imply:
% 187.01/25.38  | | | | | | | | | | | | | | | |   (381)  all_67_8 = 0
% 187.01/25.38  | | | | | | | | | | | | | | | | 
% 187.01/25.38  | | | | | | | | | | | | | | | | BETA: splitting (170) gives:
% 187.01/25.38  | | | | | | | | | | | | | | | | 
% 187.01/25.38  | | | | | | | | | | | | | | | | Case 1:
% 187.01/25.38  | | | | | | | | | | | | | | | | | 
% 187.01/25.38  | | | | | | | | | | | | | | | | |   (382)   ~ (all_67_6 = 0)
% 187.01/25.38  | | | | | | | | | | | | | | | | | 
% 187.01/25.38  | | | | | | | | | | | | | | | | | REDUCE: (267), (382) imply:
% 187.01/25.38  | | | | | | | | | | | | | | | | |   (383)  $false
% 187.01/25.38  | | | | | | | | | | | | | | | | | 
% 187.01/25.38  | | | | | | | | | | | | | | | | | CLOSE: (383) is inconsistent.
% 187.01/25.38  | | | | | | | | | | | | | | | | | 
% 187.01/25.38  | | | | | | | | | | | | | | | | Case 2:
% 187.01/25.38  | | | | | | | | | | | | | | | | | 
% 187.01/25.38  | | | | | | | | | | | | | | | | |   (384)   ~ (all_67_7 = 0) |  ~ (all_67_8 = 0) | ( ~
% 187.01/25.38  | | | | | | | | | | | | | | | | |            (all_67_0 = all_67_1) &  ~ (all_67_2 = all_67_3)
% 187.01/25.38  | | | | | | | | | | | | | | | | |            &  ~ (all_67_4 = all_67_5))
% 187.01/25.38  | | | | | | | | | | | | | | | | | 
% 187.01/25.38  | | | | | | | | | | | | | | | | | BETA: splitting (384) gives:
% 187.01/25.38  | | | | | | | | | | | | | | | | | 
% 187.01/25.38  | | | | | | | | | | | | | | | | | Case 1:
% 187.01/25.38  | | | | | | | | | | | | | | | | | | 
% 187.01/25.38  | | | | | | | | | | | | | | | | | |   (385)   ~ (all_67_7 = 0)
% 187.01/25.38  | | | | | | | | | | | | | | | | | | 
% 187.01/25.38  | | | | | | | | | | | | | | | | | | REDUCE: (358), (385) imply:
% 187.01/25.38  | | | | | | | | | | | | | | | | | |   (386)  $false
% 187.01/25.38  | | | | | | | | | | | | | | | | | | 
% 187.01/25.38  | | | | | | | | | | | | | | | | | | CLOSE: (386) is inconsistent.
% 187.01/25.38  | | | | | | | | | | | | | | | | | | 
% 187.01/25.38  | | | | | | | | | | | | | | | | | Case 2:
% 187.01/25.38  | | | | | | | | | | | | | | | | | | 
% 187.01/25.38  | | | | | | | | | | | | | | | | | |   (387)   ~ (all_67_8 = 0) | ( ~ (all_67_0 = all_67_1) &  ~
% 187.01/25.38  | | | | | | | | | | | | | | | | | |            (all_67_2 = all_67_3) &  ~ (all_67_4 =
% 187.01/25.38  | | | | | | | | | | | | | | | | | |              all_67_5))
% 187.01/25.38  | | | | | | | | | | | | | | | | | | 
% 187.01/25.38  | | | | | | | | | | | | | | | | | | BETA: splitting (387) gives:
% 187.01/25.38  | | | | | | | | | | | | | | | | | | 
% 187.01/25.38  | | | | | | | | | | | | | | | | | | Case 1:
% 187.01/25.38  | | | | | | | | | | | | | | | | | | | 
% 187.01/25.38  | | | | | | | | | | | | | | | | | | |   (388)   ~ (all_67_8 = 0)
% 187.01/25.38  | | | | | | | | | | | | | | | | | | | 
% 187.01/25.38  | | | | | | | | | | | | | | | | | | | REDUCE: (381), (388) imply:
% 187.01/25.38  | | | | | | | | | | | | | | | | | | |   (389)  $false
% 187.01/25.38  | | | | | | | | | | | | | | | | | | | 
% 187.01/25.38  | | | | | | | | | | | | | | | | | | | CLOSE: (389) is inconsistent.
% 187.01/25.38  | | | | | | | | | | | | | | | | | | | 
% 187.01/25.38  | | | | | | | | | | | | | | | | | | Case 2:
% 187.01/25.38  | | | | | | | | | | | | | | | | | | | 
% 187.01/25.38  | | | | | | | | | | | | | | | | | | |   (390)   ~ (all_67_0 = all_67_1) &  ~ (all_67_2 =
% 187.01/25.38  | | | | | | | | | | | | | | | | | | |            all_67_3) &  ~ (all_67_4 = all_67_5)
% 187.01/25.38  | | | | | | | | | | | | | | | | | | | 
% 187.01/25.38  | | | | | | | | | | | | | | | | | | | ALPHA: (390) implies:
% 187.01/25.38  | | | | | | | | | | | | | | | | | | |   (391)   ~ (all_67_4 = all_67_5)
% 187.01/25.38  | | | | | | | | | | | | | | | | | | |   (392)   ~ (all_67_2 = all_67_3)
% 187.01/25.38  | | | | | | | | | | | | | | | | | | |   (393)   ~ (all_67_0 = all_67_1)
% 187.01/25.38  | | | | | | | | | | | | | | | | | | | 
% 187.01/25.38  | | | | | | | | | | | | | | | | | | | REDUCE: (236), (237), (391) imply:
% 187.01/25.38  | | | | | | | | | | | | | | | | | | |   (394)   ~ (all_18_4 = all_18_5)
% 187.01/25.38  | | | | | | | | | | | | | | | | | | | 
% 187.01/25.38  | | | | | | | | | | | | | | | | | | | SIMP: (394) implies:
% 187.01/25.38  | | | | | | | | | | | | | | | | | | |   (395)   ~ (all_18_4 = all_18_5)
% 187.01/25.38  | | | | | | | | | | | | | | | | | | | 
% 187.01/25.38  | | | | | | | | | | | | | | | | | | | BETA: splitting (295) gives:
% 187.01/25.38  | | | | | | | | | | | | | | | | | | | 
% 187.01/25.38  | | | | | | | | | | | | | | | | | | | Case 1:
% 187.01/25.38  | | | | | | | | | | | | | | | | | | | | 
% 187.01/25.38  | | | | | | | | | | | | | | | | | | | |   (396)  all_67_0 = all_67_1
% 187.01/25.38  | | | | | | | | | | | | | | | | | | | | 
% 187.01/25.38  | | | | | | | | | | | | | | | | | | | | REDUCE: (393), (396) imply:
% 187.01/25.38  | | | | | | | | | | | | | | | | | | | |   (397)  $false
% 187.01/25.38  | | | | | | | | | | | | | | | | | | | | 
% 187.01/25.38  | | | | | | | | | | | | | | | | | | | | CLOSE: (397) is inconsistent.
% 187.01/25.38  | | | | | | | | | | | | | | | | | | | | 
% 187.01/25.38  | | | | | | | | | | | | | | | | | | | Case 2:
% 187.01/25.38  | | | | | | | | | | | | | | | | | | | | 
% 187.01/25.38  | | | | | | | | | | | | | | | | | | | |   (398)   ? [v0: $i] :  ? [v1: $i] : ( ~ (v1 = v0) &
% 187.01/25.38  | | | | | | | | | | | | | | | | | | | |            minus(all_18_4, all_18_5) = v0 & minus(all_18_9,
% 187.01/25.38  | | | | | | | | | | | | | | | | | | | |              all_18_7) = v1 & $i(v1) & $i(v0))
% 187.01/25.38  | | | | | | | | | | | | | | | | | | | | 
% 187.01/25.38  | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (398) with fresh symbols all_292_0,
% 187.01/25.38  | | | | | | | | | | | | | | | | | | | |        all_292_1 gives:
% 187.01/25.38  | | | | | | | | | | | | | | | | | | | |   (399)   ~ (all_292_0 = all_292_1) & minus(all_18_4,
% 187.01/25.38  | | | | | | | | | | | | | | | | | | | |            all_18_5) = all_292_1 & minus(all_18_9,
% 187.01/25.38  | | | | | | | | | | | | | | | | | | | |            all_18_7) = all_292_0 & $i(all_292_0) &
% 187.01/25.38  | | | | | | | | | | | | | | | | | | | |          $i(all_292_1)
% 187.01/25.38  | | | | | | | | | | | | | | | | | | | | 
% 187.01/25.38  | | | | | | | | | | | | | | | | | | | | ALPHA: (399) implies:
% 187.01/25.38  | | | | | | | | | | | | | | | | | | | |   (400)   ~ (all_292_0 = all_292_1)
% 187.01/25.38  | | | | | | | | | | | | | | | | | | | |   (401)  minus(all_18_9, all_18_7) = all_292_0
% 187.01/25.38  | | | | | | | | | | | | | | | | | | | |   (402)  minus(all_18_4, all_18_5) = all_292_1
% 187.01/25.38  | | | | | | | | | | | | | | | | | | | | 
% 187.01/25.38  | | | | | | | | | | | | | | | | | | | | BETA: splitting (302) gives:
% 187.01/25.38  | | | | | | | | | | | | | | | | | | | | 
% 187.01/25.38  | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.01/25.38  | | | | | | | | | | | | | | | | | | | | | 
% 187.01/25.38  | | | | | | | | | | | | | | | | | | | | |   (403)  all_67_2 = all_67_3
% 187.01/25.38  | | | | | | | | | | | | | | | | | | | | | 
% 187.01/25.38  | | | | | | | | | | | | | | | | | | | | | REDUCE: (392), (403) imply:
% 187.01/25.38  | | | | | | | | | | | | | | | | | | | | |   (404)  $false
% 187.01/25.38  | | | | | | | | | | | | | | | | | | | | | 
% 187.01/25.38  | | | | | | | | | | | | | | | | | | | | | CLOSE: (404) is inconsistent.
% 187.01/25.38  | | | | | | | | | | | | | | | | | | | | | 
% 187.01/25.38  | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.01/25.38  | | | | | | | | | | | | | | | | | | | | | 
% 187.01/25.38  | | | | | | | | | | | | | | | | | | | | |   (405)   ? [v0: $i] :  ? [v1: $i] : ( ~ (v1 = v0) &
% 187.01/25.38  | | | | | | | | | | | | | | | | | | | | |            minus(all_18_5, all_18_4) = v0 & minus(all_18_9,
% 187.01/25.38  | | | | | | | | | | | | | | | | | | | | |              all_18_7) = v1 & $i(v1) & $i(v0))
% 187.01/25.38  | | | | | | | | | | | | | | | | | | | | | 
% 187.01/25.38  | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (405) with fresh symbols all_297_0,
% 187.01/25.38  | | | | | | | | | | | | | | | | | | | | |        all_297_1 gives:
% 187.01/25.38  | | | | | | | | | | | | | | | | | | | | |   (406)   ~ (all_297_0 = all_297_1) & minus(all_18_5,
% 187.01/25.38  | | | | | | | | | | | | | | | | | | | | |            all_18_4) = all_297_1 & minus(all_18_9,
% 187.01/25.38  | | | | | | | | | | | | | | | | | | | | |            all_18_7) = all_297_0 & $i(all_297_0) &
% 187.01/25.38  | | | | | | | | | | | | | | | | | | | | |          $i(all_297_1)
% 187.01/25.38  | | | | | | | | | | | | | | | | | | | | | 
% 187.01/25.38  | | | | | | | | | | | | | | | | | | | | | ALPHA: (406) implies:
% 187.01/25.38  | | | | | | | | | | | | | | | | | | | | |   (407)   ~ (all_297_0 = all_297_1)
% 187.01/25.38  | | | | | | | | | | | | | | | | | | | | |   (408)  minus(all_18_9, all_18_7) = all_297_0
% 187.01/25.38  | | | | | | | | | | | | | | | | | | | | |   (409)  minus(all_18_5, all_18_4) = all_297_1
% 187.01/25.38  | | | | | | | | | | | | | | | | | | | | | 
% 187.01/25.38  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (303) gives:
% 187.01/25.38  | | | | | | | | | | | | | | | | | | | | | 
% 187.01/25.38  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.01/25.38  | | | | | | | | | | | | | | | | | | | | | | 
% 187.01/25.38  | | | | | | | | | | | | | | | | | | | | | |   (410)  all_67_2 = all_67_3
% 187.01/25.38  | | | | | | | | | | | | | | | | | | | | | | 
% 187.01/25.39  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (392), (410) imply:
% 187.01/25.39  | | | | | | | | | | | | | | | | | | | | | |   (411)  $false
% 187.01/25.39  | | | | | | | | | | | | | | | | | | | | | | 
% 187.01/25.39  | | | | | | | | | | | | | | | | | | | | | | CLOSE: (411) is inconsistent.
% 187.01/25.39  | | | | | | | | | | | | | | | | | | | | | | 
% 187.01/25.39  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.01/25.39  | | | | | | | | | | | | | | | | | | | | | | 
% 187.01/25.39  | | | | | | | | | | | | | | | | | | | | | |   (412)   ? [v0: $i] :  ? [v1: $i] : ( ~ (v1 = v0) &
% 187.01/25.39  | | | | | | | | | | | | | | | | | | | | | |            minus(all_18_4, all_18_5) = v0 & minus(all_18_7,
% 187.01/25.39  | | | | | | | | | | | | | | | | | | | | | |              all_18_9) = v1 & $i(v1) & $i(v0))
% 187.01/25.39  | | | | | | | | | | | | | | | | | | | | | | 
% 187.01/25.39  | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (412) with fresh symbols all_302_0,
% 187.01/25.39  | | | | | | | | | | | | | | | | | | | | | |        all_302_1 gives:
% 187.01/25.39  | | | | | | | | | | | | | | | | | | | | | |   (413)   ~ (all_302_0 = all_302_1) & minus(all_18_4,
% 187.01/25.39  | | | | | | | | | | | | | | | | | | | | | |            all_18_5) = all_302_1 & minus(all_18_7,
% 187.01/25.39  | | | | | | | | | | | | | | | | | | | | | |            all_18_9) = all_302_0 & $i(all_302_0) &
% 187.01/25.39  | | | | | | | | | | | | | | | | | | | | | |          $i(all_302_1)
% 187.01/25.39  | | | | | | | | | | | | | | | | | | | | | | 
% 187.01/25.39  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (413) implies:
% 187.01/25.39  | | | | | | | | | | | | | | | | | | | | | |   (414)   ~ (all_302_0 = all_302_1)
% 187.01/25.39  | | | | | | | | | | | | | | | | | | | | | |   (415)  minus(all_18_7, all_18_9) = all_302_0
% 187.01/25.39  | | | | | | | | | | | | | | | | | | | | | |   (416)  minus(all_18_4, all_18_5) = all_302_1
% 187.01/25.39  | | | | | | | | | | | | | | | | | | | | | | 
% 187.01/25.39  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (294) gives:
% 187.01/25.39  | | | | | | | | | | | | | | | | | | | | | | 
% 187.01/25.39  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.01/25.39  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.01/25.39  | | | | | | | | | | | | | | | | | | | | | | |   (417)  all_67_0 = all_67_1
% 187.01/25.39  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.01/25.39  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (393), (417) imply:
% 187.01/25.39  | | | | | | | | | | | | | | | | | | | | | | |   (418)  $false
% 187.01/25.39  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.01/25.39  | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (418) is inconsistent.
% 187.01/25.39  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.01/25.39  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.01/25.39  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.01/25.39  | | | | | | | | | | | | | | | | | | | | | | |   (419)   ? [v0: $i] :  ? [v1: $i] : ( ~ (v1 = v0) &
% 187.01/25.39  | | | | | | | | | | | | | | | | | | | | | | |            minus(all_18_5, all_18_4) = v0 & minus(all_18_7,
% 187.01/25.39  | | | | | | | | | | | | | | | | | | | | | | |              all_18_9) = v1 & $i(v1) & $i(v0))
% 187.01/25.39  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.01/25.39  | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (419) with fresh symbols all_307_0,
% 187.01/25.39  | | | | | | | | | | | | | | | | | | | | | | |        all_307_1 gives:
% 187.01/25.39  | | | | | | | | | | | | | | | | | | | | | | |   (420)   ~ (all_307_0 = all_307_1) & minus(all_18_5,
% 187.01/25.39  | | | | | | | | | | | | | | | | | | | | | | |            all_18_4) = all_307_1 & minus(all_18_7,
% 187.01/25.39  | | | | | | | | | | | | | | | | | | | | | | |            all_18_9) = all_307_0 & $i(all_307_0) &
% 187.01/25.39  | | | | | | | | | | | | | | | | | | | | | | |          $i(all_307_1)
% 187.01/25.39  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.01/25.39  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (420) implies:
% 187.01/25.39  | | | | | | | | | | | | | | | | | | | | | | |   (421)   ~ (all_307_0 = all_307_1)
% 187.01/25.39  | | | | | | | | | | | | | | | | | | | | | | |   (422)  minus(all_18_7, all_18_9) = all_307_0
% 187.01/25.39  | | | | | | | | | | | | | | | | | | | | | | |   (423)  minus(all_18_5, all_18_4) = all_307_1
% 187.01/25.39  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.01/25.39  | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (25) with all_232_0, all_255_0,
% 187.01/25.39  | | | | | | | | | | | | | | | | | | | | | | |              all_18_15, all_18_16, simplifying with (356),
% 187.01/25.39  | | | | | | | | | | | | | | | | | | | | | | |              (370) gives:
% 187.01/25.39  | | | | | | | | | | | | | | | | | | | | | | |   (424)  all_255_0 = all_232_0
% 187.01/25.39  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.01/25.39  | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (25) with all_250_0, all_265_0,
% 187.01/25.39  | | | | | | | | | | | | | | | | | | | | | | |              all_18_16, all_18_15, simplifying with (365),
% 187.01/25.39  | | | | | | | | | | | | | | | | | | | | | | |              (375) gives:
% 187.01/25.39  | | | | | | | | | | | | | | | | | | | | | | |   (425)  all_265_0 = all_250_0
% 187.01/25.39  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.01/25.39  | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (25) with all_292_0, all_297_0,
% 187.01/25.39  | | | | | | | | | | | | | | | | | | | | | | |              all_18_7, all_18_9, simplifying with (401), (408)
% 187.01/25.39  | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 187.01/25.39  | | | | | | | | | | | | | | | | | | | | | | |   (426)  all_297_0 = all_292_0
% 187.01/25.39  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.01/25.39  | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (25) with all_302_0, all_307_0,
% 187.01/25.39  | | | | | | | | | | | | | | | | | | | | | | |              all_18_9, all_18_7, simplifying with (415), (422)
% 187.01/25.39  | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 187.01/25.39  | | | | | | | | | | | | | | | | | | | | | | |   (427)  all_307_0 = all_302_0
% 187.01/25.39  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.01/25.39  | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (25) with all_67_0, all_131_0,
% 187.01/25.39  | | | | | | | | | | | | | | | | | | | | | | |              all_18_7, all_18_5, simplifying with (249), (315)
% 187.01/25.39  | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 187.01/25.39  | | | | | | | | | | | | | | | | | | | | | | |   (428)  all_131_0 = all_67_0
% 187.01/25.39  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.01/25.39  | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (25) with all_297_1, all_307_1,
% 187.01/25.39  | | | | | | | | | | | | | | | | | | | | | | |              all_18_4, all_18_5, simplifying with (409), (423)
% 187.01/25.39  | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 187.01/25.39  | | | | | | | | | | | | | | | | | | | | | | |   (429)  all_307_1 = all_297_1
% 187.01/25.39  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.01/25.39  | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (25) with all_67_1, all_145_0,
% 187.01/25.39  | | | | | | | | | | | | | | | | | | | | | | |              all_18_9, all_18_4, simplifying with (250), (318)
% 187.01/25.39  | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 187.01/25.39  | | | | | | | | | | | | | | | | | | | | | | |   (430)  all_145_0 = all_67_1
% 187.01/25.39  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.01/25.39  | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (25) with all_292_1, all_302_1,
% 187.01/25.39  | | | | | | | | | | | | | | | | | | | | | | |              all_18_5, all_18_4, simplifying with (402), (416)
% 187.01/25.39  | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 187.01/25.39  | | | | | | | | | | | | | | | | | | | | | | |   (431)  all_302_1 = all_292_1
% 187.01/25.39  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.01/25.39  | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (21) with all_18_5, all_217_4,
% 187.01/25.39  | | | | | | | | | | | | | | | | | | | | | | |              all_18_7, simplifying with (242), (350) gives:
% 187.01/25.39  | | | | | | | | | | | | | | | | | | | | | | |   (432)  all_217_4 = all_18_5
% 187.01/25.39  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.01/25.39  | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with 0, all_213_3, all_18_12,
% 187.01/25.39  | | | | | | | | | | | | | | | | | | | | | | |              all_13_0, simplifying with (309), (351) gives:
% 187.01/25.39  | | | | | | | | | | | | | | | | | | | | | | |   (433)  all_213_3 = 0
% 187.01/25.39  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.01/25.39  | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (23) with all_18_7, all_195_1,
% 187.01/25.39  | | | | | | | | | | | | | | | | | | | | | | |              all_18_16, simplifying with (64), (336) gives:
% 187.01/25.39  | | | | | | | | | | | | | | | | | | | | | | |   (434)  all_195_1 = all_18_7
% 187.01/25.39  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.01/25.39  | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (23) with all_195_0, all_203_1,
% 187.01/25.39  | | | | | | | | | | | | | | | | | | | | | | |              all_18_16, simplifying with (337), (344) gives:
% 187.01/25.39  | | | | | | | | | | | | | | | | | | | | | | |   (435)  all_203_1 = all_195_0
% 187.01/25.39  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.01/25.39  | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (23) with all_195_1, all_203_1,
% 187.01/25.39  | | | | | | | | | | | | | | | | | | | | | | |              all_18_16, simplifying with (336), (344) gives:
% 187.01/25.39  | | | | | | | | | | | | | | | | | | | | | | |   (436)  all_203_1 = all_195_1
% 187.01/25.39  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.01/25.39  | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (23) with all_189_1, all_203_1,
% 187.01/25.39  | | | | | | | | | | | | | | | | | | | | | | |              all_18_16, simplifying with (332), (344) gives:
% 187.01/25.39  | | | | | | | | | | | | | | | | | | | | | | |   (437)  all_203_1 = all_189_1
% 187.01/25.39  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.01/25.39  | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (23) with all_18_9, all_183_0,
% 187.01/25.39  | | | | | | | | | | | | | | | | | | | | | | |              all_18_15, simplifying with (65), (325) gives:
% 187.01/25.39  | | | | | | | | | | | | | | | | | | | | | | |   (438)  all_183_0 = all_18_9
% 187.01/25.39  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.01/25.39  | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (23) with all_183_0, all_185_1,
% 187.01/25.39  | | | | | | | | | | | | | | | | | | | | | | |              all_18_15, simplifying with (325), (327) gives:
% 187.01/25.39  | | | | | | | | | | | | | | | | | | | | | | |   (439)  all_185_1 = all_183_0
% 187.01/25.39  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.01/25.39  | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (23) with all_185_1, all_197_1,
% 187.01/25.39  | | | | | | | | | | | | | | | | | | | | | | |              all_18_15, simplifying with (327), (339) gives:
% 187.01/25.39  | | | | | | | | | | | | | | | | | | | | | | |   (440)  all_197_1 = all_185_1
% 187.01/25.39  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.01/25.39  | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (23) with all_183_1, all_197_1,
% 187.01/25.39  | | | | | | | | | | | | | | | | | | | | | | |              all_18_15, simplifying with (324), (339) gives:
% 187.01/25.39  | | | | | | | | | | | | | | | | | | | | | | |   (441)  all_197_1 = all_183_1
% 187.01/25.39  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.01/25.39  | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (23) with all_55_0, all_201_0,
% 187.01/25.39  | | | | | | | | | | | | | | | | | | | | | | |              all_18_5, simplifying with (132), (342) gives:
% 187.01/25.39  | | | | | | | | | | | | | | | | | | | | | | |   (442)  all_201_0 = all_55_0
% 187.01/25.39  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.01/25.39  | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (23) with all_201_1, all_201_0,
% 187.01/25.39  | | | | | | | | | | | | | | | | | | | | | | |              all_18_5, simplifying with (341), (342) gives:
% 187.01/25.39  | | | | | | | | | | | | | | | | | | | | | | |   (443)  all_201_0 = all_201_1
% 187.01/25.39  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.01/25.39  | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (23) with all_187_0, all_201_0,
% 187.01/25.39  | | | | | | | | | | | | | | | | | | | | | | |              all_18_5, simplifying with (330), (342) gives:
% 187.01/25.39  | | | | | | | | | | | | | | | | | | | | | | |   (444)  all_201_0 = all_187_0
% 187.01/25.39  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.39  | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (23) with all_57_0, all_181_0,
% 187.31/25.39  | | | | | | | | | | | | | | | | | | | | | | |              all_18_4, simplifying with (137), (322) gives:
% 187.31/25.39  | | | | | | | | | | | | | | | | | | | | | | |   (445)  all_181_0 = all_57_0
% 187.31/25.39  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.39  | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (23) with all_181_0, all_191_0,
% 187.31/25.39  | | | | | | | | | | | | | | | | | | | | | | |              all_18_4, simplifying with (322), (334) gives:
% 187.31/25.39  | | | | | | | | | | | | | | | | | | | | | | |   (446)  all_191_0 = all_181_0
% 187.31/25.39  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.39  | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (23) with all_181_1, all_191_0,
% 187.31/25.39  | | | | | | | | | | | | | | | | | | | | | | |              all_18_4, simplifying with (321), (334) gives:
% 187.31/25.39  | | | | | | | | | | | | | | | | | | | | | | |   (447)  all_191_0 = all_181_1
% 187.31/25.39  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.39  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (435), (437) imply:
% 187.31/25.39  | | | | | | | | | | | | | | | | | | | | | | |   (448)  all_195_0 = all_189_1
% 187.31/25.39  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.39  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (435), (436) imply:
% 187.31/25.39  | | | | | | | | | | | | | | | | | | | | | | |   (449)  all_195_0 = all_195_1
% 187.31/25.39  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.39  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (443), (444) imply:
% 187.31/25.39  | | | | | | | | | | | | | | | | | | | | | | |   (450)  all_201_1 = all_187_0
% 187.31/25.39  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.39  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (442), (443) imply:
% 187.31/25.39  | | | | | | | | | | | | | | | | | | | | | | |   (451)  all_201_1 = all_55_0
% 187.31/25.39  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.39  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (450), (451) imply:
% 187.31/25.39  | | | | | | | | | | | | | | | | | | | | | | |   (452)  all_187_0 = all_55_0
% 187.31/25.39  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.39  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (440), (441) imply:
% 187.31/25.39  | | | | | | | | | | | | | | | | | | | | | | |   (453)  all_185_1 = all_183_1
% 187.31/25.39  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.39  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (453) implies:
% 187.31/25.39  | | | | | | | | | | | | | | | | | | | | | | |   (454)  all_185_1 = all_183_1
% 187.31/25.39  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.39  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (448), (449) imply:
% 187.31/25.39  | | | | | | | | | | | | | | | | | | | | | | |   (455)  all_195_1 = all_189_1
% 187.31/25.39  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.39  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (455) implies:
% 187.31/25.39  | | | | | | | | | | | | | | | | | | | | | | |   (456)  all_195_1 = all_189_1
% 187.31/25.39  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.39  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (434), (456) imply:
% 187.31/25.39  | | | | | | | | | | | | | | | | | | | | | | |   (457)  all_189_1 = all_18_7
% 187.31/25.39  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.39  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (457) implies:
% 187.31/25.39  | | | | | | | | | | | | | | | | | | | | | | |   (458)  all_189_1 = all_18_7
% 187.31/25.39  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.39  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (446), (447) imply:
% 187.31/25.39  | | | | | | | | | | | | | | | | | | | | | | |   (459)  all_181_0 = all_181_1
% 187.31/25.39  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.39  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (459) implies:
% 187.31/25.39  | | | | | | | | | | | | | | | | | | | | | | |   (460)  all_181_0 = all_181_1
% 187.31/25.39  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.39  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (439), (454) imply:
% 187.31/25.39  | | | | | | | | | | | | | | | | | | | | | | |   (461)  all_183_0 = all_183_1
% 187.31/25.39  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.39  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (461) implies:
% 187.31/25.39  | | | | | | | | | | | | | | | | | | | | | | |   (462)  all_183_0 = all_183_1
% 187.31/25.39  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.39  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (438), (462) imply:
% 187.31/25.39  | | | | | | | | | | | | | | | | | | | | | | |   (463)  all_183_1 = all_18_9
% 187.31/25.39  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.39  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (445), (460) imply:
% 187.31/25.39  | | | | | | | | | | | | | | | | | | | | | | |   (464)  all_181_1 = all_57_0
% 187.31/25.39  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.39  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (464) implies:
% 187.31/25.39  | | | | | | | | | | | | | | | | | | | | | | |   (465)  all_181_1 = all_57_0
% 187.31/25.39  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.39  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (421), (427), (429) imply:
% 187.31/25.39  | | | | | | | | | | | | | | | | | | | | | | |   (466)   ~ (all_302_0 = all_297_1)
% 187.31/25.39  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.39  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (414), (431) imply:
% 187.31/25.39  | | | | | | | | | | | | | | | | | | | | | | |   (467)   ~ (all_302_0 = all_292_1)
% 187.31/25.39  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.39  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (407), (426) imply:
% 187.31/25.39  | | | | | | | | | | | | | | | | | | | | | | |   (468)   ~ (all_297_1 = all_292_0)
% 187.31/25.39  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.39  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (468) implies:
% 187.31/25.39  | | | | | | | | | | | | | | | | | | | | | | |   (469)   ~ (all_297_1 = all_292_0)
% 187.31/25.39  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.39  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (317), (430) imply:
% 187.31/25.39  | | | | | | | | | | | | | | | | | | | | | | |   (470)  minus(all_18_15, all_57_0) = all_67_1
% 187.31/25.39  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.39  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (314), (428) imply:
% 187.31/25.39  | | | | | | | | | | | | | | | | | | | | | | |   (471)  minus(all_18_16, all_55_0) = all_67_0
% 187.31/25.39  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.39  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (347) gives:
% 187.31/25.39  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.39  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.31/25.39  | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.39  | | | | | | | | | | | | | | | | | | | | | | | |   (472)   ~ (all_213_3 = 0)
% 187.31/25.39  | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.39  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (433), (472) imply:
% 187.31/25.39  | | | | | | | | | | | | | | | | | | | | | | | |   (473)  $false
% 187.31/25.39  | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.39  | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (473) is inconsistent.
% 187.31/25.39  | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.39  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.31/25.39  | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.39  | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.39  | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (13) with all_18_16, all_57_0,
% 187.31/25.39  | | | | | | | | | | | | | | | | | | | | | | | |              all_55_0, all_18_15, all_67_0, all_67_1,
% 187.31/25.39  | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (40), (41), (129), (134), (470),
% 187.31/25.39  | | | | | | | | | | | | | | | | | | | | | | | |              (471) gives:
% 187.31/25.39  | | | | | | | | | | | | | | | | | | | | | | | |   (474)  all_67_0 = all_67_1 |  ? [v0: $i] :  ? [v1: $i] :
% 187.31/25.39  | | | | | | | | | | | | | | | | | | | | | | | |          ( ~ (v1 = v0) & plus(all_55_0, all_18_15) = v1 &
% 187.31/25.39  | | | | | | | | | | | | | | | | | | | | | | | |            plus(all_18_16, all_57_0) = v0 & $i(v1) &
% 187.31/25.39  | | | | | | | | | | | | | | | | | | | | | | | |            $i(v0))
% 187.31/25.39  | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.39  | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (16) with all_18_16, all_55_0,
% 187.31/25.39  | | | | | | | | | | | | | | | | | | | | | | | |              all_18_15, all_57_0, all_67_0, all_67_1,
% 187.31/25.39  | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (40), (41), (129), (134), (470),
% 187.31/25.39  | | | | | | | | | | | | | | | | | | | | | | | |              (471) gives:
% 187.31/25.39  | | | | | | | | | | | | | | | | | | | | | | | |   (475)  all_67_0 = all_67_1 |  ? [v0: $i] :  ? [v1: $i] :
% 187.31/25.39  | | | | | | | | | | | | | | | | | | | | | | | |          ( ~ (v1 = v0) & minus(all_55_0, all_57_0) = v1 &
% 187.31/25.39  | | | | | | | | | | | | | | | | | | | | | | | |            minus(all_18_16, all_18_15) = v0 & $i(v1) &
% 187.31/25.39  | | | | | | | | | | | | | | | | | | | | | | | |            $i(v0))
% 187.31/25.39  | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (16) with all_18_15, all_57_0,
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | |              all_18_16, all_55_0, all_67_1, all_67_0,
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (40), (41), (129), (134), (470),
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | |              (471) gives:
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | |   (476)  all_67_0 = all_67_1 |  ? [v0: $i] :  ? [v1: $i] :
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | |          ( ~ (v1 = v0) & minus(all_57_0, all_55_0) = v1 &
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | |            minus(all_18_15, all_18_16) = v0 & $i(v1) &
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | |            $i(v0))
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (8) with all_18_15, all_18_16,
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | |              all_18_9, all_18_7, all_292_0, simplifying with
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | |              (40), (41), (64), (65), (401) gives:
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | |   (477)  minus(all_18_16, all_18_15) = all_292_0 &
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_292_0)
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (477) implies:
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | |   (478)  minus(all_18_16, all_18_15) = all_292_0
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (8) with all_18_16, all_18_15,
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | |              all_18_7, all_18_9, all_302_0, simplifying with
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | |              (40), (41), (64), (65), (415) gives:
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | |   (479)  minus(all_18_15, all_18_16) = all_302_0 &
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_302_0)
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (479) implies:
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | |   (480)  minus(all_18_15, all_18_16) = all_302_0
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (13) with all_18_15, all_18_4,
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | |              all_18_16, all_18_5, all_250_0, all_297_1,
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (40), (41), (51), (52), (365),
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | |              (409) gives:
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | |   (481)  all_297_1 = all_250_0 |  ? [v0: $i] :  ? [v1: $i]
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | |          : ( ~ (v1 = v0) & plus(all_18_15, all_18_4) = v0 &
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | |            plus(all_18_16, all_18_5) = v1 & $i(v1) &
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | |            $i(v0))
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (16) with all_18_5, all_18_4,
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | |              all_18_16, all_18_15, all_297_1, all_232_0,
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (40), (41), (51), (52), (356),
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | |              (409) gives:
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | |   (482)  all_297_1 = all_232_0 |  ? [v0: $i] :  ? [v1: $i]
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | |          : ( ~ (v1 = v0) & minus(all_18_4, all_18_15) = v1
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | |            & minus(all_18_5, all_18_16) = v0 & $i(v1) &
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | |            $i(v0))
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (16) with all_18_4, all_18_5,
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | |              all_18_15, all_18_16, all_292_1, all_250_0,
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (40), (41), (51), (52), (365),
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | |              (402) gives:
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | |   (483)  all_292_1 = all_250_0 |  ? [v0: $i] :  ? [v1: $i]
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | |          : ( ~ (v1 = v0) & minus(all_18_4, all_18_15) = v0
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | |            & minus(all_18_5, all_18_16) = v1 & $i(v1) &
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | |            $i(v0))
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (13) with all_18_16, all_18_5,
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | |              all_18_15, all_18_4, all_232_0, all_292_1,
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (40), (41), (51), (52), (356),
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | |              (402) gives:
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | |   (484)  all_292_1 = all_232_0 |  ? [v0: $i] :  ? [v1: $i]
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | |          : ( ~ (v1 = v0) & plus(all_18_15, all_18_4) = v1 &
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | |            plus(all_18_16, all_18_5) = v0 & $i(v1) &
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | |            $i(v0))
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (476) gives:
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | |   (485)  all_67_0 = all_67_1
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (393), (485) imply:
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | |   (486)  $false
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (486) is inconsistent.
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | |   (487)   ? [v0: $i] :  ? [v1: $i] : ( ~ (v1 = v0) &
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | |            minus(all_57_0, all_55_0) = v1 &
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | |            minus(all_18_15, all_18_16) = v0 & $i(v1) &
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(v0))
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (487) with fresh symbols all_1203_0,
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | |        all_1203_1 gives:
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | |   (488)   ~ (all_1203_0 = all_1203_1) & minus(all_57_0,
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | |            all_55_0) = all_1203_0 & minus(all_18_15,
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | |            all_18_16) = all_1203_1 & $i(all_1203_0) &
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_1203_1)
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (488) implies:
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | |   (489)  minus(all_18_15, all_18_16) = all_1203_1
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (475) gives:
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | |   (490)  all_67_0 = all_67_1
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (393), (490) imply:
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | |   (491)  $false
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (491) is inconsistent.
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | |   (492)   ? [v0: $i] :  ? [v1: $i] : ( ~ (v1 = v0) &
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | |            minus(all_55_0, all_57_0) = v1 &
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | |            minus(all_18_16, all_18_15) = v0 & $i(v1) &
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(v0))
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (492) with fresh symbols all_1251_0,
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | |        all_1251_1 gives:
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | |   (493)   ~ (all_1251_0 = all_1251_1) & minus(all_55_0,
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_0) = all_1251_0 & minus(all_18_16,
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | |            all_18_15) = all_1251_1 & $i(all_1251_0) &
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_1251_1)
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (493) implies:
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | |   (494)  minus(all_18_16, all_18_15) = all_1251_1
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (474) gives:
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (495)  all_67_0 = all_67_1
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (393), (495) imply:
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (496)  $false
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (496) is inconsistent.
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (25) with all_232_0, all_1251_1,
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_18_15, all_18_16, simplifying with (356),
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (494) gives:
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (497)  all_1251_1 = all_232_0
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (25) with all_292_0, all_1251_1,
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_18_15, all_18_16, simplifying with (478),
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (494) gives:
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (498)  all_1251_1 = all_292_0
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (25) with all_250_0, all_1203_1,
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_18_16, all_18_15, simplifying with (365),
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (489) gives:
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (499)  all_1203_1 = all_250_0
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (25) with all_302_0, all_1203_1,
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_18_16, all_18_15, simplifying with (480),
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (489) gives:
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (500)  all_1203_1 = all_302_0
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (497), (498) imply:
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (501)  all_292_0 = all_232_0
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (499), (500) imply:
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (502)  all_302_0 = all_250_0
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (502) implies:
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (503)  all_302_0 = all_250_0
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (466), (503) imply:
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (504)   ~ (all_297_1 = all_250_0)
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (504) implies:
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (505)   ~ (all_297_1 = all_250_0)
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (467), (503) imply:
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (506)   ~ (all_292_1 = all_250_0)
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (506) implies:
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (507)   ~ (all_292_1 = all_250_0)
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (469), (501) imply:
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (508)   ~ (all_297_1 = all_232_0)
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (400), (501) imply:
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (509)   ~ (all_292_1 = all_232_0)
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (509) implies:
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (510)   ~ (all_292_1 = all_232_0)
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (481) gives:
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (511)  all_297_1 = all_250_0
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (505), (511) imply:
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (512)  $false
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (512) is inconsistent.
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (513)   ? [v0: $i] :  ? [v1: $i] : ( ~ (v1 = v0) &
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            plus(all_18_15, all_18_4) = v0 & plus(all_18_16,
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_18_5) = v1 & $i(v1) & $i(v0))
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (513) with fresh symbols all_1353_0,
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | |        all_1353_1 gives:
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (514)   ~ (all_1353_0 = all_1353_1) & plus(all_18_15,
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_18_4) = all_1353_1 & plus(all_18_16,
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_18_5) = all_1353_0 & $i(all_1353_0) &
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_1353_1)
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (514) implies:
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (515)   ~ (all_1353_0 = all_1353_1)
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (516)  plus(all_18_16, all_18_5) = all_1353_0
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (517)  plus(all_18_15, all_18_4) = all_1353_1
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (482) gives:
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (518)  all_297_1 = all_232_0
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (508), (518) imply:
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (519)  $false
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (519) is inconsistent.
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (520)   ? [v0: $i] :  ? [v1: $i] : ( ~ (v1 = v0) &
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            minus(all_18_4, all_18_15) = v1 &
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            minus(all_18_5, all_18_16) = v0 & $i(v1) &
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(v0))
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (520) with fresh symbols all_1441_0,
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |        all_1441_1 gives:
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (521)   ~ (all_1441_0 = all_1441_1) & minus(all_18_4,
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_18_15) = all_1441_0 & minus(all_18_5,
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_18_16) = all_1441_1 & $i(all_1441_0) &
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_1441_1)
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (521) implies:
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (522)   ~ (all_1441_0 = all_1441_1)
% 187.31/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (523)  minus(all_18_5, all_18_16) = all_1441_1
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (524)  minus(all_18_4, all_18_15) = all_1441_0
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (483) gives:
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (525)  all_292_1 = all_250_0
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (507), (525) imply:
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (526)  $false
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (526) is inconsistent.
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (527)   ? [v0: $i] :  ? [v1: $i] : ( ~ (v1 = v0) &
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            minus(all_18_4, all_18_15) = v0 &
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            minus(all_18_5, all_18_16) = v1 & $i(v1) &
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(v0))
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (527) with fresh symbols all_1495_0,
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |        all_1495_1 gives:
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (528)   ~ (all_1495_0 = all_1495_1) & minus(all_18_4,
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_18_15) = all_1495_1 & minus(all_18_5,
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_18_16) = all_1495_0 & $i(all_1495_0) &
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_1495_1)
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (528) implies:
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (529)  minus(all_18_5, all_18_16) = all_1495_0
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (530)  minus(all_18_4, all_18_15) = all_1495_1
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (484) gives:
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (531)  all_292_1 = all_232_0
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (510), (531) imply:
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (532)  $false
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (532) is inconsistent.
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (533)   ? [v0: $i] :  ? [v1: $i] : ( ~ (v1 = v0) &
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            plus(all_18_15, all_18_4) = v1 & plus(all_18_16,
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_18_5) = v0 & $i(v1) & $i(v0))
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (533) with fresh symbols all_1501_0,
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |        all_1501_1 gives:
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (534)   ~ (all_1501_0 = all_1501_1) & plus(all_18_15,
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_18_4) = all_1501_0 & plus(all_18_16,
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_18_5) = all_1501_1 & $i(all_1501_0) &
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_1501_1)
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (534) implies:
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (535)  plus(all_18_16, all_18_5) = all_1501_1
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (536)  plus(all_18_15, all_18_4) = all_1501_0
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (25) with all_18_1, all_1495_0,
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_18_16, all_18_5, simplifying with (53), (529)
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (537)  all_1495_0 = all_18_1
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (25) with all_1441_1, all_1495_0,
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_18_16, all_18_5, simplifying with (523), (529)
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (538)  all_1495_0 = all_1441_1
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (25) with all_18_0, all_1495_1,
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_18_15, all_18_4, simplifying with (54), (530)
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (539)  all_1495_1 = all_18_0
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (25) with all_1441_0, all_1495_1,
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_18_15, all_18_4, simplifying with (524), (530)
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (540)  all_1495_1 = all_1441_0
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (26) with all_18_3, all_1501_1,
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_18_5, all_18_16, simplifying with (247), (535)
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (541)  all_1501_1 = all_18_3
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (26) with all_1353_0, all_1501_1,
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_18_5, all_18_16, simplifying with (516), (535)
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (542)  all_1501_1 = all_1353_0
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (26) with all_18_2, all_1501_0,
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_18_4, all_18_15, simplifying with (246), (536)
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (543)  all_1501_0 = all_18_2
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (26) with all_1353_1, all_1501_0,
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_18_4, all_18_15, simplifying with (517), (536)
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (544)  all_1501_0 = all_1353_1
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (543), (544) imply:
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (545)  all_1353_1 = all_18_2
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (545) implies:
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (546)  all_1353_1 = all_18_2
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (541), (542) imply:
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (547)  all_1353_0 = all_18_3
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (537), (538) imply:
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (548)  all_1441_1 = all_18_1
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (539), (540) imply:
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (549)  all_1441_0 = all_18_0
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (522), (548), (549) imply:
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (550)   ~ (all_18_0 = all_18_1)
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (515), (546), (547) imply:
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (551)   ~ (all_18_2 = all_18_3)
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (551) implies:
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (552)   ~ (all_18_2 = all_18_3)
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (68) gives:
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (553)  all_18_0 = all_18_1
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (550), (553) imply:
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (554)  $false
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (554) is inconsistent.
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (555)  all_18_2 = all_18_3 | all_18_4 = all_18_5
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (555) gives:
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (556)  all_18_2 = all_18_3
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (552), (556) imply:
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (557)  $false
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (557) is inconsistent.
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (558)  all_18_4 = all_18_5
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (395), (558) imply:
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (559)  $false
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (559) is inconsistent.
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | End of split
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | End of split
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | End of split
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | | 
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | End of split
% 187.31/25.41  | | | | | | | | | | | | | | | | | | | 
% 187.31/25.41  | | | | | | | | | | | | | | | | | | End of split
% 187.31/25.41  | | | | | | | | | | | | | | | | | | 
% 187.31/25.41  | | | | | | | | | | | | | | | | | End of split
% 187.31/25.41  | | | | | | | | | | | | | | | | | 
% 187.31/25.41  | | | | | | | | | | | | | | | | End of split
% 187.31/25.41  | | | | | | | | | | | | | | | | 
% 187.31/25.41  | | | | | | | | | | | | | | | End of split
% 187.31/25.41  | | | | | | | | | | | | | | | 
% 187.31/25.41  | | | | | | | | | | | | | | End of split
% 187.31/25.41  | | | | | | | | | | | | | | 
% 187.31/25.41  | | | | | | | | | | | | | End of split
% 187.31/25.41  | | | | | | | | | | | | | 
% 187.31/25.41  | | | | | | | | | | | | End of split
% 187.31/25.41  | | | | | | | | | | | | 
% 187.31/25.41  | | | | | | | | | | | Case 2:
% 187.31/25.41  | | | | | | | | | | | | 
% 187.31/25.41  | | | | | | | | | | | |   (560)   ? [v0: int] : ( ~ (v0 = 0) & le(all_18_16,
% 187.31/25.41  | | | | | | | | | | | |              all_18_15) = v0)
% 187.31/25.41  | | | | | | | | | | | | 
% 187.31/25.41  | | | | | | | | | | | | DELTA: instantiating (560) with fresh symbol all_247_0
% 187.31/25.41  | | | | | | | | | | | |        gives:
% 187.31/25.41  | | | | | | | | | | | |   (561)   ~ (all_247_0 = 0) & le(all_18_16, all_18_15) =
% 187.31/25.41  | | | | | | | | | | | |          all_247_0
% 187.31/25.41  | | | | | | | | | | | | 
% 187.31/25.41  | | | | | | | | | | | | ALPHA: (561) implies:
% 187.31/25.41  | | | | | | | | | | | |   (562)   ~ (all_247_0 = 0)
% 187.31/25.41  | | | | | | | | | | | |   (563)  le(all_18_16, all_18_15) = all_247_0
% 187.31/25.41  | | | | | | | | | | | | 
% 187.31/25.41  | | | | | | | | | | | | GROUND_INST: instantiating (27) with 0, all_247_0, all_18_15,
% 187.31/25.41  | | | | | | | | | | | |              all_18_16, simplifying with (308), (563) gives:
% 187.31/25.41  | | | | | | | | | | | |   (564)  all_247_0 = 0
% 187.31/25.41  | | | | | | | | | | | | 
% 187.31/25.41  | | | | | | | | | | | | REDUCE: (562), (564) imply:
% 187.31/25.41  | | | | | | | | | | | |   (565)  $false
% 187.31/25.41  | | | | | | | | | | | | 
% 187.31/25.41  | | | | | | | | | | | | CLOSE: (565) is inconsistent.
% 187.31/25.41  | | | | | | | | | | | | 
% 187.31/25.41  | | | | | | | | | | | End of split
% 187.31/25.41  | | | | | | | | | | | 
% 187.31/25.41  | | | | | | | | | | Case 2:
% 187.31/25.41  | | | | | | | | | | | 
% 187.31/25.41  | | | | | | | | | | |   (566)   ? [v0: int] : ( ~ (v0 = 0) & le(all_18_8, n) =
% 187.31/25.41  | | | | | | | | | | |            v0)
% 187.31/25.41  | | | | | | | | | | | 
% 187.31/25.41  | | | | | | | | | | | DELTA: instantiating (566) with fresh symbol all_243_0
% 187.31/25.41  | | | | | | | | | | |        gives:
% 187.31/25.41  | | | | | | | | | | |   (567)   ~ (all_243_0 = 0) & le(all_18_8, n) = all_243_0
% 187.31/25.41  | | | | | | | | | | | 
% 187.31/25.41  | | | | | | | | | | | ALPHA: (567) implies:
% 187.31/25.41  | | | | | | | | | | |   (568)   ~ (all_243_0 = 0)
% 187.31/25.42  | | | | | | | | | | |   (569)  le(all_18_8, n) = all_243_0
% 187.31/25.42  | | | | | | | | | | | 
% 187.31/25.42  | | | | | | | | | | | GROUND_INST: instantiating (27) with 0, all_243_0, n, all_18_8,
% 187.31/25.42  | | | | | | | | | | |              simplifying with (312), (569) gives:
% 187.31/25.42  | | | | | | | | | | |   (570)  all_243_0 = 0
% 187.31/25.42  | | | | | | | | | | | 
% 187.31/25.42  | | | | | | | | | | | REDUCE: (568), (570) imply:
% 187.31/25.42  | | | | | | | | | | |   (571)  $false
% 187.31/25.42  | | | | | | | | | | | 
% 187.31/25.42  | | | | | | | | | | | CLOSE: (571) is inconsistent.
% 187.31/25.42  | | | | | | | | | | | 
% 187.31/25.42  | | | | | | | | | | End of split
% 187.31/25.42  | | | | | | | | | | 
% 187.31/25.42  | | | | | | | | | End of split
% 187.31/25.42  | | | | | | | | | 
% 187.31/25.42  | | | | | | | | End of split
% 187.31/25.42  | | | | | | | | 
% 187.31/25.42  | | | | | | | End of split
% 187.31/25.42  | | | | | | | 
% 187.31/25.42  | | | | | | End of split
% 187.31/25.42  | | | | | | 
% 187.31/25.42  | | | | | End of split
% 187.31/25.42  | | | | | 
% 187.31/25.42  | | | | End of split
% 187.31/25.42  | | | | 
% 187.31/25.42  | | | End of split
% 187.31/25.42  | | | 
% 187.31/25.42  | | End of split
% 187.31/25.42  | | 
% 187.31/25.42  | End of split
% 187.31/25.42  | 
% 187.31/25.42  End of proof
% 187.31/25.42  % SZS output end Proof for theBenchmark
% 187.31/25.42  
% 187.31/25.42  24800ms
%------------------------------------------------------------------------------